{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "84d0c85a-436b-4f98-8bf4-8d2caab10343",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9556b741-76bc-4b5b-98ce-6d9a2b5844c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = 2000\n",
    "X = np.random.rand(m,1)\n",
    "y= 5+2*X + np.random.randn(m,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5aa055ec-dd14-4406-8911-722e3879a35f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff131cee90>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,y,\"r.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fb2c46d6-cbc9-4dc3-9558-b1658f7a60e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import add_dummy_feature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "623b21e4-401b-4538-8257-34a896b38baf",
   "metadata": {},
   "outputs": [],
   "source": [
    "Xnew = add_dummy_feature(X)\n",
    "theta_hat = np.linalg.inv(Xnew.T @ Xnew ) @ Xnew.T @ y "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3f38c75f-8965-41ee-a5d5-794e29dee46b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.96055395],\n",
       "       [2.05119606]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta_hat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "67a50c46-5f06-48a6-88c1-848e763454c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 8.03734804],\n",
       "       [10.08854411],\n",
       "       [12.13974017]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_test = np.array([[1.5], [2.5],[3.5]])\n",
    "X_test = add_dummy_feature(X_test)\n",
    "X_test @ theta_hat\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "54c73565-4e9a-42a7-af0e-c4493c16a709",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_test = np.array([[0], [1]])\n",
    "X_test_new = add_dummy_feature(X_test)\n",
    "y_pred =  X_test_new @ theta_hat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "26d4ca3d-bda9-4857-8621-dbccc2d24b27",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.96055395],\n",
       "       [7.01175001]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "53f3c764-3ca9-4c36-b023-fb8ab17a6b6c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff17950550>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,y,\"r.\")\n",
    "plt.plot(X_test,y_pred,lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1fc4abc2-ee08-4c89-ac61-c38365f9e072",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d64f3c20-848f-4145-b5d9-4cdfd355ddee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-1 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-1 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-1 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-1 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LinearRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.LinearRegression.html\">?<span>Documentation for LinearRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('copy_X',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">copy_X&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">1e-06</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_jobs',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_jobs&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('positive',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">positive&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr =LinearRegression()\n",
    "lr.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5b378995-c334-4993-967b-6c512a883af3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([4.96055395]), array([[2.05119606]]))"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.intercept_, lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "455bfd9f-0e9b-4c9c-8ee0-086aefc2cff7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.96055395],\n",
       "       [7.01175001]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0b5b1f56-ef22-4e8b-935b-b68b829aaaeb",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "f1a2b3c4-0001-4abc-9def-aaaaaaaaaaaa",
   "metadata": {},
   "source": [
    "## Batch Gradient Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f1a2b3c4-0002-4abc-9def-aaaaaaaaaaaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = Xnew.shape[0]\n",
    "eta = 0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f1a2b3c4-0003-4abc-9def-aaaaaaaaaaaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(40)\n",
    "theta = np.random.randn(2, 1)\n",
    "\n",
    "number_of_epochs = 1000\n",
    "\n",
    "for epoch in range(number_of_epochs):\n",
    "    grad_ = 2/m * Xnew.T @ (Xnew @ theta - y)\n",
    "    theta = theta - eta*grad_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f1a2b3c4-0004-4abc-9def-aaaaaaaaaaaa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.96055285],\n",
       "       [2.05119812]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3156024b-2383-4945-8da0-5830caf29006",
   "metadata": {},
   "source": [
    "# stochastic Gradiant decents "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "7d36fed5-dd61-4c82-b9b2-29c11dec4a7b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def learning_rate_schedule(t):\n",
    "    t0, t1 = 2,40\n",
    "    return t0 / (t +t1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "54c97885-a2df-48c6-b3b2-0678be8bf4f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(40)\n",
    "theta = np.random.randn(2, 1)\n",
    "\n",
    "number_of_epochs = 100\n",
    "\n",
    "for epoch in range(number_of_epochs):\n",
    "    for instance in range (m):\n",
    "        random_index = np.random.randint(m)\n",
    "        X_index = Xnew[random_index:random_index + 1]\n",
    "        y_index = y[random_index:random_index + 1]\n",
    "        grad_ = 2 * X_index.T @ (X_index  @ theta - y_index )\n",
    "        eta = learning_rate_schedule(epoch *  m + instance)\n",
    "        theta = theta - eta * grad_\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d0578724-2b0f-4494-938b-3f92e91b460a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4.91499172],\n",
       "       [2.1431157 ]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "52bd4ade-5c65-4ab9-af73-ba8bd78134ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import SGDRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "53228191-8b0d-44a5-910c-f3c50276e007",
   "metadata": {},
   "outputs": [],
   "source": [
    " sgd = SGDRegressor(max_iter=1000, tol=0.0001, early_stopping= True , n_iter_no_change=10 ,random_state=40,penalty=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a456fca7-e83d-4545-81c2-a697fc083c03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-2 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-2 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-2 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-2 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-2 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-2 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>SGDRegressor(early_stopping=True, n_iter_no_change=10, penalty=None,\n",
       "             random_state=40, tol=0.0001)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>SGDRegressor</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.SGDRegressor.html\">?<span>Documentation for SGDRegressor</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('loss',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">loss&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;squared_error&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('penalty',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">penalty&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('alpha',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">alpha&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('l1_ratio',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">l1_ratio&nbsp;</td>\n",
       "            <td class=\"value\">0.15</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">1000</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('shuffle',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">shuffle&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('verbose',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">verbose&nbsp;</td>\n",
       "            <td class=\"value\">0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('epsilon',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">epsilon&nbsp;</td>\n",
       "            <td class=\"value\">0.1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">40</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('learning_rate',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">learning_rate&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;invscaling&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('eta0',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">eta0&nbsp;</td>\n",
       "            <td class=\"value\">0.01</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('power_t',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">power_t&nbsp;</td>\n",
       "            <td class=\"value\">0.25</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('early_stopping',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">early_stopping&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('validation_fraction',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">validation_fraction&nbsp;</td>\n",
       "            <td class=\"value\">0.1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_iter_no_change',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_iter_no_change&nbsp;</td>\n",
       "            <td class=\"value\">10</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('average',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">average&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "SGDRegressor(early_stopping=True, n_iter_no_change=10, penalty=None,\n",
       "             random_state=40, tol=0.0001)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd.fit(X,y.flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0c3d5f95-6065-464a-96c1-3b880d399bd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.07745828])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ffcdb9cd-dee7-480d-8633-c06c88c9e462",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4.94980211])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sgd.intercept_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e024aaf2-8821-4fbb-a4b1-4317c0a5cc92",
   "metadata": {},
   "source": [
    "# polynomial regression "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "052e9a56-4864-47f9-a725-25c79dbdbb9c",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(40)\n",
    "m =1000\n",
    "X =5* np.random.rand(m,1) -4\n",
    "y = 0.7 * X **2 +X+3+np.random.randn(m,1)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "8e194cd4-2cde-4c92-8f9d-df57ad122244",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff1916fc50>]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,y,\"r.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "0d7f0f68-5147-40c1-a490-222e6511ab75",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "52f78658-2b0e-4c4a-aa78-916dd149db94",
   "metadata": {},
   "outputs": [],
   "source": [
    "polynomial_X = PolynomialFeatures(degree= 2,include_bias=False)\n",
    "X_polynomial = polynomial_X.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "45d07e67-ac06-4cce-b4a1-63515609bfe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 2)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_polynomial.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "9cdf0d2b-afa1-4849-b6bb-3f0e66fd171e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.96156486,  3.8477367 ])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_polynomial[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "bae6d6b3-3625-4c86-b30f-d39e9ab51106",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-3 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-3 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-3 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-3 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-3 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-3 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-3 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LinearRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.LinearRegression.html\">?<span>Documentation for LinearRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('copy_X',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">copy_X&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">1e-06</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_jobs',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_jobs&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('positive',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">positive&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lin_reg =LinearRegression()\n",
    "lin_reg.fit(X_polynomial,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "18935bef-d7f0-46e8-b238-7425588c56c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([3.06380936]), array([[0.90344499, 0.66918949]]))"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lin_reg.intercept_,lin_reg.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "f7518239-2894-41f2-af87-e11f6bacdca8",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_new = np.linspace(-4,1,1000).reshape(1000,1)\n",
    "X_new_polynomial = polynomial_X.transform(X_new)\n",
    "y_new= lin_reg.predict(X_new_polynomial)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "60636e78-3212-4936-a4e0-688e108f2256",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff1933e850>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,y,\"r.\")\n",
    "plt.plot(X_new,y_new,\"b-\",lw=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "b39d237a-d7f6-4d4d-a6b3-0410d9750693",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import learning_curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ae98b6b4-6bde-45f5-9bf6-55a34de5fe5c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import make_pipeline \n",
    "polynomial_reg = make_pipeline(\n",
    " PolynomialFeatures(degree=2, include_bias= False),\n",
    "    LinearRegression()\n",
    "    \n",
    ")\n",
    "train_size ,train_score,validation_score =learning_curve(polynomial_reg,\n",
    "               X,\n",
    "               y,\n",
    "               train_sizes=np.linspace(0.01,1.0,100),cv=5,\n",
    "               scoring=\"neg_root_mean_squared_error\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "f9b8862d-1cf5-4b17-92c2-cb8af1f418b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_error = -train_score.mean(axis = 1)\n",
    "validation_error = -validation_score.mean(axis = 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "34835098-64bc-46bb-99cd-f2e7fef07ac1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ff193c0ad0>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(train_size,train_error,\"b-\", lw=2.5,label = \"train\")\n",
    "plt.plot(train_size,validation_error,\"r-\", lw=2.5,label = \"validation error\")\n",
    "plt.axis([0,800,0,2])\n",
    "plt.legend()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "3bd1bebd-4b3b-4ba5-89c6-34e9c845ddae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# bias - variance - irreducible "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "439bd137-551a-4d55-b7a3-9e4c096a5aa2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Ridge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "489f3fc6-9c52-4bbe-9ba7-fe0d98a3cec8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-4 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-4 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-4 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-4 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-4 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-4 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-4 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-4 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-4 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-4 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-4 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-4 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-4 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-4 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-4 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-4 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-4 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-4 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-4\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Ridge(alpha=0.1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" checked><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>Ridge</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.Ridge.html\">?<span>Documentation for Ridge</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('alpha',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">alpha&nbsp;</td>\n",
       "            <td class=\"value\">0.1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('copy_X',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">copy_X&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('solver',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">solver&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;auto&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('positive',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">positive&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "Ridge(alpha=0.1)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridge_regression = Ridge(alpha=0.1)\n",
    "ridge_regression.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "574d3d88-80e5-4fee-aacb-8ef82953efb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.67528142])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridge_regression.predict([[2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "32543743-6562-4791-af28-cde297fee633",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "fc7ddef1-40d4-44a4-a1bf-2c49006da494",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-5 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-5 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-5 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-5 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-5 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-5 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-5 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-5 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-5 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-5 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-5 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-5 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-5 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-5 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-5 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-5 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-5 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-5 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-5\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Lasso(alpha=0.1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-5\" type=\"checkbox\" checked><label for=\"sk-estimator-id-5\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>Lasso</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.Lasso.html\">?<span>Documentation for Lasso</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('alpha',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">alpha&nbsp;</td>\n",
       "            <td class=\"value\">0.1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('precompute',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">precompute&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('copy_X',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">copy_X&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">1000</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('positive',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">positive&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('selection',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">selection&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;cyclic&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "Lasso(alpha=0.1)"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso = Lasso(alpha=0.1)\n",
    "lasso.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "fcd98974-f39e-449a-8439-d958bb66782d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.84168077])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso.predict([[2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "3662e772-8b7d-4743-8d08-1cecf0af850a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import ElasticNet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "ee309316-4e8b-4385-a1bb-987f18d0cda8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-6 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-6 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-6 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-6 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-6 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-6 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-6 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-6 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-6 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-6 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-6 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-6 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-6 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-6 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-6 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-6 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-6 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-6 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-6\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>ElasticNet(alpha=0.1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-6\" type=\"checkbox\" checked><label for=\"sk-estimator-id-6\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>ElasticNet</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.ElasticNet.html\">?<span>Documentation for ElasticNet</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('alpha',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">alpha&nbsp;</td>\n",
       "            <td class=\"value\">0.1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('l1_ratio',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">l1_ratio&nbsp;</td>\n",
       "            <td class=\"value\">0.5</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('precompute',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">precompute&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">1000</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('copy_X',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">copy_X&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('positive',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">positive&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('selection',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">selection&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;cyclic&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "ElasticNet(alpha=0.1)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "elsatic_net = ElasticNet(alpha=0.1, l1_ratio=0.5)\n",
    "elsatic_net.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "151cf391-7351-42fb-88fc-73b6b85ff860",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.84789459])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "elsatic_net.predict([[2]])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "488e136b-15d4-41b4-b19d-66324794de34",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "2b3a1363-88bb-4b17-80ae-c0f40173e327",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_df =load_iris(as_frame=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "00a57f3f-c145-4663-8205-4fd4f04674dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['data',\n",
       " 'target',\n",
       " 'frame',\n",
       " 'target_names',\n",
       " 'DESCR',\n",
       " 'feature_names',\n",
       " 'filename',\n",
       " 'data_module']"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(iris_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "aff917a5-c0fc-41cf-9519-6acd2e770eb7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype='<U10')"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_df.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "14c4111a-364f-4999-8cd3-d7b6eff09996",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris_df.data[[\"petal length (cm)\"]].values\n",
    "y = iris_df.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "218b219c-1d1e-4e1c-8e28-f6677e7a6c2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = iris_df.target_names[iris_df.target] ==\"setosa\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "5d54842a-7c62-4880-a4cb-c2af07747a6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "e23111c4-bfe8-46ab-b187-4938f4f80787",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train,X_test,y_train,y_test = train_test_split(X,y,random_state = 40 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "9b94220c-2b39-4d05-8b34-9b7fe463db45",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "a10413a4-3f11-4773-9b4c-c76b3a821f07",
   "metadata": {},
   "outputs": [],
   "source": [
    "lr =LogisticRegression(random_state=40)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "6d6dfcb3-11b9-4592-8182-e09941138328",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-7 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-7 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-7 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-7 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-7 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-7 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-7 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-7 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-7 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-7 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-7 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-7 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-7 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-7 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-7 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-7 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-7 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-7 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
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       "}\n",
       "</style><body><div id=\"sk-container-id-7\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(random_state=40)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-7\" type=\"checkbox\" checked><label for=\"sk-estimator-id-7\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LogisticRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.LogisticRegression.html\">?<span>Documentation for LogisticRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
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       "                 onclick=\"copyToClipboard('penalty',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">penalty&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;l2&#x27;</td>\n",
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       "            <td class=\"param\">dual&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
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       "    \n",
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       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
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       "            <td class=\"param\">C&nbsp;</td>\n",
       "            <td class=\"value\">1.0</td>\n",
       "        </tr>\n",
       "    \n",
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       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
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       "    \n",
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       "            <td class=\"param\">intercept_scaling&nbsp;</td>\n",
       "            <td class=\"value\">1</td>\n",
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       "            <td class=\"param\">class_weight&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
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       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">40</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('solver',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">solver&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;lbfgs&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
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       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">100</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
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       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('multi_class',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">multi_class&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;deprecated&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('verbose',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">verbose&nbsp;</td>\n",
       "            <td class=\"value\">0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_jobs',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_jobs&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('l1_ratio',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">l1_ratio&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
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      ],
      "text/plain": [
       "LogisticRegression(random_state=40)"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "ffa3b7ad-2478-4915-84dc-fe12ea1ab12a",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_pred = np.linspace(0,7,1000).reshape(-1,1)\n",
    "y_prob = lr.predict_proba(X_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "e6ff90c7-e4eb-4cea-8b57-a8a1b0c6904c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.42328958e-04, 9.99357671e-01],\n",
       "       [6.54568996e-04, 9.99345431e-01],\n",
       "       [6.67042122e-04, 9.99332958e-01],\n",
       "       ...,\n",
       "       [9.99989689e-01, 1.03114542e-05],\n",
       "       [9.99989881e-01, 1.01185144e-05],\n",
       "       [9.99990071e-01, 9.92918462e-06]], shape=(1000, 2))"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "41cb0cb0-ce10-4db2-8255-ada693a1993b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False,  True])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.classes_"
   ]
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  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "53ba64c7-bf1b-42c6-961b-81e52d1dd561",
   "metadata": {},
   "outputs": [],
   "source": [
    "db  = X_pred[y_prob[:,0]>=0.5][0,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "3a7a849f-dc99-415b-b835-2d678b1b7039",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ff194c34d0>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X_pred,y_prob[:,0],\"--r\",lw= 2 ,label=\"Not setosa\")\n",
    "plt.plot(X_pred,y_prob[:,1],\"--b\",lw= 2 ,label=\"setosa\")\n",
    "plt.plot([db,db],[0,1],\"k:\",lw=2,label=\"decision boundry\")\n",
    "plt.xlabel(\"petal length (cm)\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "3e73afcf-8649-4d71-bfcb-044ec6b01b52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True, False, False])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict([[2.5],[2.8],[3.5]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "3ed06e39-4143-4eaa-bc94-a0005724d3f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris_df.data[[\"petal length (cm)\",\"petal width (cm)\"]].values\n",
    "y = iris_df.target_names[iris_df.target] ==\"setosa\"\n",
    "X_train,X_test,y_train,y_test = train_test_split(X,y,random_state = 40 )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "3aca8ad2-a0e0-4322-b3e4-c9a74dc31618",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-8 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-8 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-8 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-8 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-8 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-8 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-8 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-8 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-8 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-8 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-8 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-8 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-8 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-8 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-8 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-8 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-8 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-8 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-8\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(random_state=40)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-8\" type=\"checkbox\" checked><label for=\"sk-estimator-id-8\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LogisticRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.LogisticRegression.html\">?<span>Documentation for LogisticRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('penalty',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">penalty&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;l2&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('dual',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">dual&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('C',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">C&nbsp;</td>\n",
       "            <td class=\"value\">1.0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('intercept_scaling',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">intercept_scaling&nbsp;</td>\n",
       "            <td class=\"value\">1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('class_weight',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">class_weight&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">40</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('solver',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">solver&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;lbfgs&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">100</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('multi_class',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">multi_class&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;deprecated&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('verbose',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">verbose&nbsp;</td>\n",
       "            <td class=\"value\">0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_jobs',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_jobs&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('l1_ratio',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">l1_ratio&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "LogisticRegression(random_state=40)"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LogisticRegression(random_state=40)\n",
    "lr.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "582330a8-243c-4310-a704-3fed2793b6bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "petal_lenght ,petal_width = np.meshgrid(\n",
    "    np.linspace(0,7,1000).reshape(-1,1),\n",
    "    np.linspace(0,3,1000).reshape(-1,1)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "931131e4-c0b6-4cd7-959a-17508b3bd34f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000000,)"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "petal_lenght.flatten().shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "c5dc74ee-4b14-4695-9311-980eb6d35e9c",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_pred = np.c_[petal_lenght.flatten(),petal_width.flatten()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "6c64ab0e-c8a4-4e11-ba84-09da25551855",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000000, 2)"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_pred.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "1dc04626-d091-485b-b03b-b579c4a2eb8d",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_prob = lr.predict_proba(X_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "f992e8c7-321e-4729-8bac-bde489014af8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False,  True])"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.classes_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "99bb9406-f88a-4e81-a919-82d503a3ebd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3.02002002, 0.        ],\n",
       "       [3.02702703, 0.        ],\n",
       "       [3.03403403, 0.        ],\n",
       "       ...,\n",
       "       [6.98598599, 3.        ],\n",
       "       [6.99299299, 3.        ],\n",
       "       [7.        , 3.        ]], shape=(657363, 2))"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_pred[y_prob[:,0] >= 0.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "c8d1e7b2-a0b8-4253-8000-eb8113e417b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2.59383363, -1.07612405]])"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "50d1ddff-8818-4efb-b0c7-adecbed08c89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([7.83255063])"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "9a9ff3c3-57fd-489b-a40f-27895c7f809c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 7.27848305, -9.59395415])"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "petal_lenght_vector = np.array([0,7])\n",
    "db = -((lr.intercept_+lr.coef_[0,0]*petal_lenght_vector)/lr.coef_[0,1])\n",
    "db"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "2a261076-16e7-49ad-8c35-46bfcdbcb7de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff26787250>]"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots()\n",
    "ax1 = ax.contour(petal_lenght,\n",
    "                 petal_width,\n",
    "                 y_prob[:,1].reshape(petal_lenght.shape),\n",
    "                 cmap=plt.cm.brg)\n",
    "plt.clabel(ax1)\n",
    "plt.plot(petal_lenght_vector,db,\"k\",lw=3)\n",
    "plt.axis([0,7,0,3])\n",
    "plt.plot(X_train[y_train== 1 , 0],X_train[y_train== 1,1],\"gs\")\n",
    "plt.plot(X_train[y_train== 0 , 0],X_train[y_train== 0,1],\"rs\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3290f7d7-777a-4e65-9bf2-945f8ff2ad3f",
   "metadata": {},
   "source": [
    "# softmax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "b0466405-5cc8-4c9b-86b0-e3304b4b2deb",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris_df.data[[\"petal length (cm)\",\"petal width (cm)\"]].values\n",
    "y = iris_df[\"target\"]\n",
    "X_train,X_test,y_train,y_test = train_test_split(X,y,random_state = 40 )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "da1fc685-24f3-45b4-a4ac-7a9d4f614ea5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-9 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-9 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-9 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-9 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-9 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-9 div.sk-toggleable__content {\n",
       "  display: none;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  overflow: visible;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-9 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-9 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-9 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-9 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-9 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-9 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-9 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-9 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-9 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-9 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-9 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-9 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".estimator-table summary {\n",
       "    padding: .5rem;\n",
       "    font-family: monospace;\n",
       "    cursor: pointer;\n",
       "}\n",
       "\n",
       ".estimator-table details[open] {\n",
       "    padding-left: 0.1rem;\n",
       "    padding-right: 0.1rem;\n",
       "    padding-bottom: 0.3rem;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table {\n",
       "    margin-left: auto !important;\n",
       "    margin-right: auto !important;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(odd) {\n",
       "    background-color: #fff;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:nth-child(even) {\n",
       "    background-color: #f6f6f6;\n",
       "}\n",
       "\n",
       ".estimator-table .parameters-table tr:hover {\n",
       "    background-color: #e0e0e0;\n",
       "}\n",
       "\n",
       ".estimator-table table td {\n",
       "    border: 1px solid rgba(106, 105, 104, 0.232);\n",
       "}\n",
       "\n",
       ".user-set td {\n",
       "    color:rgb(255, 94, 0);\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td.value pre {\n",
       "    color:rgb(255, 94, 0) !important;\n",
       "    background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".default td {\n",
       "    color: black;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       ".user-set td i,\n",
       ".default td i {\n",
       "    color: black;\n",
       "}\n",
       "\n",
       ".copy-paste-icon {\n",
       "    background-image: url(data:image/svg+xml;base64,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);\n",
       "    background-repeat: no-repeat;\n",
       "    background-size: 14px 14px;\n",
       "    background-position: 0;\n",
       "    display: inline-block;\n",
       "    width: 14px;\n",
       "    height: 14px;\n",
       "    cursor: pointer;\n",
       "}\n",
       "</style><body><div id=\"sk-container-id-9\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(random_state=40)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-9\" type=\"checkbox\" checked><label for=\"sk-estimator-id-9\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>LogisticRegression</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.7/modules/generated/sklearn.linear_model.LogisticRegression.html\">?<span>Documentation for LogisticRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\" data-param-prefix=\"\">\n",
       "        <div class=\"estimator-table\">\n",
       "            <details>\n",
       "                <summary>Parameters</summary>\n",
       "                <table class=\"parameters-table\">\n",
       "                  <tbody>\n",
       "                    \n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('penalty',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">penalty&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;l2&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('dual',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">dual&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('tol',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">tol&nbsp;</td>\n",
       "            <td class=\"value\">0.0001</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('C',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">C&nbsp;</td>\n",
       "            <td class=\"value\">1.0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('fit_intercept',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">fit_intercept&nbsp;</td>\n",
       "            <td class=\"value\">True</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('intercept_scaling',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">intercept_scaling&nbsp;</td>\n",
       "            <td class=\"value\">1</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('class_weight',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">class_weight&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"user-set\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('random_state',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">random_state&nbsp;</td>\n",
       "            <td class=\"value\">40</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('solver',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">solver&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;lbfgs&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('max_iter',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">max_iter&nbsp;</td>\n",
       "            <td class=\"value\">100</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('multi_class',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">multi_class&nbsp;</td>\n",
       "            <td class=\"value\">&#x27;deprecated&#x27;</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('verbose',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">verbose&nbsp;</td>\n",
       "            <td class=\"value\">0</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('warm_start',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">warm_start&nbsp;</td>\n",
       "            <td class=\"value\">False</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('n_jobs',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">n_jobs&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "\n",
       "        <tr class=\"default\">\n",
       "            <td><i class=\"copy-paste-icon\"\n",
       "                 onclick=\"copyToClipboard('l1_ratio',\n",
       "                          this.parentElement.nextElementSibling)\"\n",
       "            ></i></td>\n",
       "            <td class=\"param\">l1_ratio&nbsp;</td>\n",
       "            <td class=\"value\">None</td>\n",
       "        </tr>\n",
       "    \n",
       "                  </tbody>\n",
       "                </table>\n",
       "            </details>\n",
       "        </div>\n",
       "    </div></div></div></div></div><script>function copyToClipboard(text, element) {\n",
       "    // Get the parameter prefix from the closest toggleable content\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${text}` : text;\n",
       "\n",
       "    const originalStyle = element.style;\n",
       "    const computedStyle = window.getComputedStyle(element);\n",
       "    const originalWidth = computedStyle.width;\n",
       "    const originalHTML = element.innerHTML.replace('Copied!', '');\n",
       "\n",
       "    navigator.clipboard.writeText(fullParamName)\n",
       "        .then(() => {\n",
       "            element.style.width = originalWidth;\n",
       "            element.style.color = 'green';\n",
       "            element.innerHTML = \"Copied!\";\n",
       "\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        })\n",
       "        .catch(err => {\n",
       "            console.error('Failed to copy:', err);\n",
       "            element.style.color = 'red';\n",
       "            element.innerHTML = \"Failed!\";\n",
       "            setTimeout(() => {\n",
       "                element.innerHTML = originalHTML;\n",
       "                element.style = originalStyle;\n",
       "            }, 2000);\n",
       "        });\n",
       "    return false;\n",
       "}\n",
       "\n",
       "document.querySelectorAll('.fa-regular.fa-copy').forEach(function(element) {\n",
       "    const toggleableContent = element.closest('.sk-toggleable__content');\n",
       "    const paramPrefix = toggleableContent ? toggleableContent.dataset.paramPrefix : '';\n",
       "    const paramName = element.parentElement.nextElementSibling.textContent.trim();\n",
       "    const fullParamName = paramPrefix ? `${paramPrefix}${paramName}` : paramName;\n",
       "\n",
       "    element.setAttribute('title', fullParamName);\n",
       "});\n",
       "</script></body>"
      ],
      "text/plain": [
       "LogisticRegression(random_state=40)"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr =LogisticRegression(random_state=40)\n",
    "lr.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "7263a6bc-8cc1-496d-9a7e-3aa00ebdc7bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0])"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict([[2,2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "4d64cc73-03d3-4212-99a2-277769868860",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[8.20282133e-01, 1.79308201e-01, 4.09666641e-04]])"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict_proba([[2,2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "id": "89d9ca1a-7ced-4982-b345-9672f037c450",
   "metadata": {},
   "outputs": [],
   "source": [
    "petal_lenght, petal_width = np.meshgrid(\n",
    "    np.linspace(0,7,1000).reshape(-1,1),\n",
    "    np.linspace(0,3,1000).reshape(-1,1)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "837bad2a-b4f5-4ef9-be7c-df04d228b2b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_pred = np.c_[petal_lenght.flatten(), petal_width.flatten()]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "a48f46f4-6e92-422f-ab3b-9e42cd8eb199",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_prob = lr.predict_proba(X_pred)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "342417cf-b752-420b-915d-0da5cb225338",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ff27c92490>]"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots()\n",
    "ax1 = ax.contour(petal_lenght, petal_width, y_prob[:,1].reshape(petal_lenght.shape), cmap=plt.cm.brg)\n",
    "plt.clabel(ax1)\n",
    "plt.axis([0,7,0,3])\n",
    "plt.plot(X_train[y_train==0,0], X_train[y_train==0,1], \"ys\")\n",
    "plt.plot(X_train[y_train==1,0], X_train[y_train==1,1], \"gs\")\n",
    "plt.plot(X_train[y_train==2,0], X_train[y_train==2,1], \"rs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fbdfcafe-78ff-42b4-954c-b9e6f0547144",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}