logistic_regression_exercise.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5444a26c-f401-4e8f-ba6f-7375a84eebf8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wodnj\\AppData\\Local\\Temp\\ipykernel_9592\\3836956802.py:2: DeprecationWarning: \n",
      "Pyarrow will become a required dependency of pandas in the next major release of pandas (pandas 3.0),\n",
      "(to allow more performant data types, such as the Arrow string type, and better interoperability with other libraries)\n",
      "but was not found to be installed on your system.\n",
      "If this would cause problems for you,\n",
      "please provide us feedback at https://github.com/pandas-dev/pandas/issues/54466\n",
      "        \n",
      "  import pandas as pd\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.datasets import make_classification\n",
    "\n",
    "# create classification data with 2 informative variables and 4 non-informative variables\n",
    "X, y = make_classification(n_samples = 1000, n_features = 6, n_informative = 2, n_classes = 2, random_state = 134)\n",
    "\n",
    "# convert into a pandas dataframe with column names x1, x2, x3, etc.\n",
    "df = pd.DataFrame(X, columns=[f'x{i}' for i in range(1, 7)])\n",
    "df['target'] = y\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8943f1e8-aad8-4fbb-be66-edd8d1210d5b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x1</th>\n",
       "      <th>x2</th>\n",
       "      <th>x3</th>\n",
       "      <th>x4</th>\n",
       "      <th>x5</th>\n",
       "      <th>x6</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.175607</td>\n",
       "      <td>2.096776</td>\n",
       "      <td>0.193515</td>\n",
       "      <td>-0.197979</td>\n",
       "      <td>0.614337</td>\n",
       "      <td>0.152221</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.237559</td>\n",
       "      <td>-0.900253</td>\n",
       "      <td>0.851576</td>\n",
       "      <td>0.122654</td>\n",
       "      <td>-0.659372</td>\n",
       "      <td>0.597719</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.619941</td>\n",
       "      <td>0.631125</td>\n",
       "      <td>3.617209</td>\n",
       "      <td>1.243602</td>\n",
       "      <td>-0.232297</td>\n",
       "      <td>2.486463</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.267036</td>\n",
       "      <td>-0.086827</td>\n",
       "      <td>-0.899692</td>\n",
       "      <td>1.757201</td>\n",
       "      <td>2.059507</td>\n",
       "      <td>-0.768438</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.286389</td>\n",
       "      <td>-1.264438</td>\n",
       "      <td>-2.358642</td>\n",
       "      <td>-1.029750</td>\n",
       "      <td>-0.792644</td>\n",
       "      <td>-1.605442</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>995</th>\n",
       "      <td>1.761970</td>\n",
       "      <td>-0.909970</td>\n",
       "      <td>-0.783485</td>\n",
       "      <td>2.753219</td>\n",
       "      <td>-0.956613</td>\n",
       "      <td>-0.757950</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>996</th>\n",
       "      <td>-0.867464</td>\n",
       "      <td>-1.030907</td>\n",
       "      <td>-1.262156</td>\n",
       "      <td>-2.446485</td>\n",
       "      <td>-0.547518</td>\n",
       "      <td>-0.721530</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>997</th>\n",
       "      <td>-2.901635</td>\n",
       "      <td>0.011812</td>\n",
       "      <td>3.165859</td>\n",
       "      <td>-3.292270</td>\n",
       "      <td>0.788811</td>\n",
       "      <td>2.494164</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>998</th>\n",
       "      <td>0.769074</td>\n",
       "      <td>0.267471</td>\n",
       "      <td>-1.052058</td>\n",
       "      <td>0.731624</td>\n",
       "      <td>0.563602</td>\n",
       "      <td>-0.802538</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>999</th>\n",
       "      <td>0.076258</td>\n",
       "      <td>-0.005243</td>\n",
       "      <td>1.515353</td>\n",
       "      <td>1.144866</td>\n",
       "      <td>-0.835103</td>\n",
       "      <td>0.996368</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1000 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           x1        x2        x3        x4        x5        x6  target\n",
       "0   -0.175607  2.096776  0.193515 -0.197979  0.614337  0.152221       0\n",
       "1   -0.237559 -0.900253  0.851576  0.122654 -0.659372  0.597719       1\n",
       "2   -0.619941  0.631125  3.617209  1.243602 -0.232297  2.486463       1\n",
       "3    1.267036 -0.086827 -0.899692  1.757201  2.059507 -0.768438       0\n",
       "4    0.286389 -1.264438 -2.358642 -1.029750 -0.792644 -1.605442       0\n",
       "..        ...       ...       ...       ...       ...       ...     ...\n",
       "995  1.761970 -0.909970 -0.783485  2.753219 -0.956613 -0.757950       0\n",
       "996 -0.867464 -1.030907 -1.262156 -2.446485 -0.547518 -0.721530       0\n",
       "997 -2.901635  0.011812  3.165859 -3.292270  0.788811  2.494164       1\n",
       "998  0.769074  0.267471 -1.052058  0.731624  0.563602 -0.802538       1\n",
       "999  0.076258 -0.005243  1.515353  1.144866 -0.835103  0.996368       1\n",
       "\n",
       "[1000 rows x 7 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "197e4648-5117-43ef-bcf8-47a38318a45e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# stratified split into training and testing sets\n",
    "X_train_orig, X_test, y_train_orig, y_test = train_test_split(\n",
    "    df.drop('target', axis = 1), df['target'], test_size = 0.2, random_state = 134, stratify = df['target'])\n",
    "\n",
    "# nested train-validation split\n",
    "X_train, X_val, y_train, y_val = train_test_split(X_train_orig, y_train_orig, test_size = 0.25, random_state = 134, stratify = y_train_orig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f9df0a9b-52d2-4967-840c-11864c71b4c6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(800, 6)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_orig.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8080e117-12a0-4e48-8a5d-c0853f02d2ab",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 6)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "228471bd-ca0e-4971-b7a6-4db546711513",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(600, 6)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5399d816-d312-4481-8ce9-29d5931a466d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 6)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_val.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f7713e9c-9dac-4cc1-9fa0-a8548c5e51b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "def create_scatter_plot(data, labels):\n",
    "    \"\"\"\n",
    "    Create a scatter plot of the first two columns of the input dataset, colored by labels.\n",
    "    \n",
    "    Args:\n",
    "        data (numpy array or pandas DataFrame): Input dataset.\n",
    "        labels (array-like): Labels for coloring the dots in the scatter plot.\n",
    "    \"\"\"\n",
    "    # extract the first two columns of the data\n",
    "    if isinstance(data, pd.DataFrame):\n",
    "        x1 = data.iloc[:, 0]\n",
    "        x2 = data.iloc[:, 1]\n",
    "    elif isinstance(data, np.ndarray):\n",
    "        x1 = data[:, 0]\n",
    "        x2 = data[:, 1]\n",
    "    else:\n",
    "        raise ValueError(\"Input data must be a numpy array or a pandas DataFrame.\")\n",
    "    \n",
    "    # set the color palette for the scatter plot\n",
    "    palette = \"colorblind\"\n",
    "    \n",
    "    # create scatter plot\n",
    "    plt.figure(figsize = (10, 6))\n",
    "    sns.scatterplot(x = x1, y = x2, hue = labels, palette = palette)\n",
    "    plt.xlabel('Feature 1')\n",
    "    plt.ylabel('Feature 2')\n",
    "    plt.title('Scatter Plot of Feature 1 vs Feature 2')\n",
    "    \n",
    "    # plt.colorbar(label='Labels')\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "de7eb893-86e0-4c79-ac45-841cf59cb200",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "create_scatter_plot(data = X_train, labels = y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "aa410f35-bccc-419a-861d-42ec7b4ae8fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "create_scatter_plot(data = X_val, labels = y_val)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d43f54a5-3a69-441e-94d7-f817ce72ea8e",
   "metadata": {},
   "source": [
    "### Fit and Predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e7edaf4b-f2fb-4868-8b61-01c696104736",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\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: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\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",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\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",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\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: 1ex;\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",
       "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(random_state=123)</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 fitted\">&nbsp;&nbsp;LogisticRegression<a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.4/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></label><div class=\"sk-toggleable__content fitted\"><pre>LogisticRegression(random_state=123)</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "LogisticRegression(random_state=123)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "# create logistic regression model\n",
    "lr_model = LogisticRegression(random_state = 123)\n",
    "\n",
    "# fit the model to the training data\n",
    "lr_model.fit(X_train, y_train)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "bfeb27a1-486a-4ffc-a205-7cbecefa8a62",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# make predictions on the validation set\n",
    "y_pred = lr_model.predict(X_val)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12722bb5-efd7-499b-bc28-3477d104d079",
   "metadata": {},
   "source": [
    "### Evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cca4375e-0958-4bd7-b211-922c0dbd0038",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Validation Accuracy: 0.88\n",
      "Validation Precision: 0.84\n",
      "Validation Recall: 0.94\n",
      "Validation F1-score: 0.89\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.93      0.82      0.87       100\n",
      "           1       0.84      0.94      0.89       100\n",
      "\n",
      "    accuracy                           0.88       200\n",
      "   macro avg       0.89      0.88      0.88       200\n",
      "weighted avg       0.89      0.88      0.88       200\n",
      "\n",
      "Confusion Matrix:\n",
      " [[82 18]\n",
      " [ 6 94]]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score, classification_report, confusion_matrix\n",
    "\n",
    "# calculate accuracy score\n",
    "accuracy = accuracy_score(y_val, y_pred)\n",
    "\n",
    "# calculate precision score\n",
    "precision = precision_score(y_val, y_pred)\n",
    "\n",
    "# calculate recall score\n",
    "recall = recall_score(y_val, y_pred)\n",
    "\n",
    "# calculate f1 score\n",
    "f1 = f1_score(y_val, y_pred)\n",
    "\n",
    "# print evaluation results with 2 decimal points\n",
    "print(\"Validation Accuracy: {:.2f}\".format(accuracy))\n",
    "print(\"Validation Precision: {:.2f}\".format(precision))\n",
    "print(\"Validation Recall: {:.2f}\".format(recall))\n",
    "print(\"Validation F1-score: {:.2f}\".format(f1))\n",
    "\n",
    "# print classification report\n",
    "print(classification_report(y_val, y_pred))\n",
    "\n",
    "# print confusion matrix\n",
    "conf_mat = confusion_matrix(y_val, y_pred)\n",
    "print(\"Confusion Matrix:\\n\", conf_mat)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "496e1736-5391-4da8-9c3f-81d4bc0a4f8d",
   "metadata": {},
   "source": [
    "### Confusion Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "92952182-728d-4276-a67d-fa9d4f34c33c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot confusion matrix\n",
    "sns.heatmap(conf_mat, annot = True, cmap = \"Blues\", fmt = \"d\")\n",
    "plt.title(\"Confusion Matrix\")\n",
    "plt.xlabel(\"Predicted Label\")\n",
    "plt.ylabel(\"True Label\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "36a5574c-a1d8-4f89-82ab-da6d06d76e35",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import ConfusionMatrixDisplay\n",
    "\n",
    "# creating confusion matrix plot using the fitted model with `from_estimator()` method\n",
    "ConfusionMatrixDisplay.from_estimator(lr_model, X_val, y_val, cmap=\"Blues\")\n",
    "plt.title(\"Confusion Matrix\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "97f9c1e2-06a5-4439-a2b1-4b38b90c9d15",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import ConfusionMatrixDisplay\n",
    "\n",
    "# creating confusion matrix plot using the predictions using `from_predictions()` method\n",
    "ConfusionMatrixDisplay.from_predictions(y_val, y_pred, cmap=\"Blues\")\n",
    "plt.title(\"Confusion Matrix\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f6aa6d4-21cd-4046-94e8-d9c7ccebb2fa",
   "metadata": {},
   "source": [
    "## Tuning Logistic Regression Using a Single Parameter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1458083f-2dc1-4c43-bd55-8ad09fe8004b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.e-04, 1.e-03, 1.e-02, 1.e-01, 1.e+00, 1.e+01, 1.e+02, 1.e+03,\n",
       "       1.e+04])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# generate values for C between 0.0001 and 10000 in 10-fold increments\n",
    "C_values = np.logspace(-4, 4, num = 9, base = 10)\n",
    "C_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "aa8e23c5-9a92-472f-a84e-48455842ce8d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C: 0.0001, Train Accuracy: 0.887, Val Accuracy: 0.845\n",
      "C: 0.001, Train Accuracy: 0.887, Val Accuracy: 0.855\n",
      "C: 0.01, Train Accuracy: 0.908, Val Accuracy: 0.875\n",
      "C: 0.1, Train Accuracy: 0.915, Val Accuracy: 0.875\n",
      "C: 1.0, Train Accuracy: 0.912, Val Accuracy: 0.88\n",
      "C: 10.0, Train Accuracy: 0.91, Val Accuracy: 0.88\n",
      "C: 100.0, Train Accuracy: 0.91, Val Accuracy: 0.88\n",
      "C: 1000.0, Train Accuracy: 0.91, Val Accuracy: 0.88\n",
      "C: 10000.0, Train Accuracy: 0.91, Val Accuracy: 0.88\n"
     ]
    }
   ],
   "source": [
    "# initialize empty lists to store performance metrics\n",
    "train_accuracies = []\n",
    "val_accuracies = []\n",
    "\n",
    "# loop through each value of C\n",
    "for c in C_values:\n",
    "    # create logistic regression model with current value of C\n",
    "    lr_model = LogisticRegression(C = c, random_state = 134)\n",
    "    \n",
    "    # fit the model on training set\n",
    "    lr_model.fit(X_train, y_train)\n",
    "    \n",
    "    # make predictions on training set\n",
    "    y_train_pred = lr_model.predict(X_train)\n",
    "    \n",
    "    # make predictions on validation set\n",
    "    y_val_pred = lr_model.predict(X_val)\n",
    "    \n",
    "    # calculate accuracy for training set\n",
    "    train_acc = accuracy_score(y_train, y_train_pred)\n",
    "    \n",
    "    # calculate accuracy for validation set\n",
    "    val_acc = accuracy_score(y_val, y_val_pred)\n",
    "    \n",
    "    # append accuracy values to respective lists\n",
    "    train_accuracies.append(train_acc)\n",
    "    val_accuracies.append(val_acc)\n",
    "\n",
    "# convert results to numpy arrays\n",
    "train_accuracies = np.array(train_accuracies)\n",
    "val_accuracies = np.array(val_accuracies)\n",
    "\n",
    "# round the results to 3 decimal points\n",
    "train_accuracies = np.round(train_accuracies, 3)\n",
    "val_accuracies = np.round(val_accuracies, 3)\n",
    "\n",
    "# print the results\n",
    "for i in range(len(C_values)):\n",
    "    print(f\"C: {C_values[i]}, Train Accuracy: {train_accuracies[i]}, Val Accuracy: {val_accuracies[i]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2a37ed33-41ee-4632-a0e5-60a490d35128",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.887, 0.887, 0.908, 0.915, 0.912, 0.91 , 0.91 , 0.91 , 0.91 ])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_accuracies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7bd3bbb5-d126-44bf-b5e0-9ed1309515e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.845, 0.855, 0.875, 0.875, 0.88 , 0.88 , 0.88 , 0.88 , 0.88 ])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val_accuracies"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1da37267-b29b-4203-9cdd-063a8f2000f0",
   "metadata": {},
   "source": [
    "### Create a Validation Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "affe0e68-624d-4fe9-bda6-de44579f0008",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create a validation curve\n",
    "plt.figure(figsize = (10, 6))\n",
    "plt.plot(C_values, train_accuracies, 'o-', label = 'Train Accuracy')\n",
    "plt.plot(C_values, val_accuracies, 'o-', label = 'Validation Accuracy')\n",
    "plt.xlabel('C Value')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.xscale('log')\n",
    "plt.title('Validation Curve for Logistic Regression')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "42e8d160-c03d-4d08-b5bd-9a01dba8a552",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set seaborn style\n",
    "sns.set(style = 'ticks', context = 'notebook')\n",
    "\n",
    "# create a validation curve\n",
    "plt.figure(figsize = (10, 6))\n",
    "plt.plot(C_values, train_accuracies, 'o-', label = 'Train Accuracy')\n",
    "plt.plot(C_values, val_accuracies, 'o-', label = 'Validation Accuracy')\n",
    "plt.xlabel('C Value')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.xscale('log')\n",
    "plt.title('Validation Curve for Logistic Regression')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# customize plot aesthetics\n",
    "sns.despine()  # remove top and right spines\n",
    "plt.tick_params(direction='in', length = 6, width = 1)  # set tick parameters\n",
    "plt.title('Validation Curve for Logistic Regression', fontsize = 16)  # set title font size\n",
    "plt.xlabel('C Value', fontsize = 14)  # set x-axis label font size\n",
    "plt.ylabel('Accuracy', fontsize = 14)  # set y-axis label font size\n",
    "plt.xticks(fontsize = 12)  # set x-axis tick label font size\n",
    "plt.yticks(fontsize = 12)  # set y-axis tick label font size\n",
    "plt.legend(fontsize = 12)  # set legend font size\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1cc65e06-2dd6-4c3e-a60e-31a77da37107",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize lists to store train and validation accuracies\n",
    "train_accuracies = []\n",
    "val_accuracies = []\n",
    "\n",
    "# define the list of number of points\n",
    "num_points = list(range(10, 610, 10))\n",
    "\n",
    "# loop over the number of points\n",
    "for num in num_points:\n",
    "    # select a subset of training data\n",
    "    X_train_subset = X_train[:num]\n",
    "    y_train_subset = y_train[:num]\n",
    "    \n",
    "    # train a logistic regression model\n",
    "    model = LogisticRegression()\n",
    "    model.fit(X_train_subset, y_train_subset)\n",
    "    \n",
    "    # make predictions on the training and validation sets\n",
    "    y_train_pred = model.predict(X_train_subset)\n",
    "    y_val_pred = model.predict(X_val)\n",
    "    \n",
    "    # calculate accuracy for training and validation sets\n",
    "    train_acc = accuracy_score(y_train_subset, y_train_pred)\n",
    "    val_acc = accuracy_score(y_val, y_val_pred)\n",
    "    \n",
    "    # append accuracies to the lists\n",
    "    train_accuracies.append(train_acc)\n",
    "    val_accuracies.append(val_acc)\n",
    "\n",
    "# convert lists to numpy arrays\n",
    "train_accuracies = np.array(train_accuracies)\n",
    "val_accuracies = np.array(val_accuracies)\n",
    "\n",
    "# create a line plot with dots\n",
    "plt.figure(figsize = (10, 6))\n",
    "plt.plot(num_points, train_accuracies, 'o-', label = 'Train Accuracy')\n",
    "plt.plot(num_points, val_accuracies, 'o-', label = 'Validation Accuracy')\n",
    "plt.xlabel('Number of Points')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.title('Learning Curve for Logistic Regression')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7154d250-2d86-4a34-a53f-5dd144986354",
   "metadata": {},
   "source": [
    "## Final model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "b55c118c-ea52-45f1-b245-6e217c32f39c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.885\n",
      "Precision: 0.905\n",
      "Recall: 0.860\n",
      "F1-score: 0.882\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       0.87      0.91      0.89       100\n",
      "           1       0.91      0.86      0.88       100\n",
      "\n",
      "    accuracy                           0.89       200\n",
      "   macro avg       0.89      0.89      0.88       200\n",
      "weighted avg       0.89      0.89      0.88       200\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create and train a logistic regression model with C = 1\n",
    "final_model = LogisticRegression(C = 1, random_state = 134)\n",
    "final_model.fit(X_train_orig, y_train_orig)\n",
    "\n",
    "# make predictions on the testing set\n",
    "y_pred = final_model.predict(X_test)\n",
    "\n",
    "# calculate performance metrics\n",
    "accuracy = accuracy_score(y_test, y_pred)\n",
    "precision = precision_score(y_test, y_pred)\n",
    "recall = recall_score(y_test, y_pred)\n",
    "f1 = f1_score(y_test, y_pred)\n",
    "\n",
    "# print performance metrics\n",
    "print(f\"Accuracy: {accuracy:.3f}\")\n",
    "print(f\"Precision: {precision:.3f}\")\n",
    "print(f\"Recall: {recall:.3f}\")\n",
    "print(f\"F1-score: {f1:.3f}\")\n",
    "\n",
    "# print classification report\n",
    "print(classification_report(y_test, y_pred))\n",
    "\n",
    "# create confusion matrix\n",
    "ConfusionMatrixDisplay.from_predictions(y_test, y_pred, cmap=\"Blues\")\n",
    "plt.title(\"Confusion Matrix\")\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.9.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}