Anshul jain mileage.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pickle\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = sns.load_dataset('mpg')\n",
    "for col in ['mpg', 'horsepower', 'weight', 'displacement']:\n",
    "    data[col] = data[col].replace(np.nan, data[col].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = data[['horsepower', 'weight', 'displacement']]\n",
    "target = data['mpg']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>displacement</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>307.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>165.0</td>\n",
       "      <td>3693</td>\n",
       "      <td>350.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>150.0</td>\n",
       "      <td>3436</td>\n",
       "      <td>318.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>150.0</td>\n",
       "      <td>3433</td>\n",
       "      <td>304.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>140.0</td>\n",
       "      <td>3449</td>\n",
       "      <td>302.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   horsepower  weight  displacement\n",
       "0       130.0    3504         307.0\n",
       "1       165.0    3693         350.0\n",
       "2       150.0    3436         318.0\n",
       "3       150.0    3433         304.0\n",
       "4       140.0    3449         302.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    18.0\n",
       "1    15.0\n",
       "2    18.0\n",
       "3    16.0\n",
       "4    17.0\n",
       "Name: mpg, dtype: float64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "xtrain, xtest, ytrain, ytest = train_test_split(features, target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>displacement</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>355</th>\n",
       "      <td>75.0</td>\n",
       "      <td>2210</td>\n",
       "      <td>107.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>70.0</td>\n",
       "      <td>2074</td>\n",
       "      <td>79.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>60.0</td>\n",
       "      <td>2164</td>\n",
       "      <td>98.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>300</th>\n",
       "      <td>90.0</td>\n",
       "      <td>3420</td>\n",
       "      <td>260.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>230.0</td>\n",
       "      <td>4278</td>\n",
       "      <td>400.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     horsepower  weight  displacement\n",
       "355        75.0    2210         107.0\n",
       "51         70.0    2074          79.0\n",
       "196        60.0    2164          98.0\n",
       "300        90.0    3420         260.0\n",
       "116       230.0    4278         400.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xtrain.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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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>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>displacement</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>307.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>165.0</td>\n",
       "      <td>3693</td>\n",
       "      <td>350.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>150.0</td>\n",
       "      <td>3436</td>\n",
       "      <td>318.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>150.0</td>\n",
       "      <td>3433</td>\n",
       "      <td>304.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>140.0</td>\n",
       "      <td>3449</td>\n",
       "      <td>302.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   horsepower  weight  displacement\n",
       "0       130.0    3504         307.0\n",
       "1       165.0    3693         350.0\n",
       "2       150.0    3436         318.0\n",
       "3       150.0    3433         304.0\n",
       "4       140.0    3449         302.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "horsepower  weight  displacement\n",
      "0         130.0    3504         307.0\n",
      "340        92.0    2620         156.0\n",
      "206        72.0    2565         140.0\n",
      "173        97.0    2545         119.0\n",
      "311        70.0    2120          98.0 (100, 3)\n"
     ]
    }
   ],
   "source": [
    "print(xtest.head(), xtest.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = LinearRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(xtrain, ytrain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.03832416, -0.00522285, -0.00672369])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44.343548185448846"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = model.predict(xtest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>displacement</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>307.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>340</th>\n",
       "      <td>92.0</td>\n",
       "      <td>2620</td>\n",
       "      <td>156.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>72.0</td>\n",
       "      <td>2565</td>\n",
       "      <td>140.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>97.0</td>\n",
       "      <td>2545</td>\n",
       "      <td>119.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>311</th>\n",
       "      <td>70.0</td>\n",
       "      <td>2120</td>\n",
       "      <td>98.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     horsepower  weight  displacement\n",
       "0         130.0    3504         307.0\n",
       "340        92.0    2620         156.0\n",
       "206        72.0    2565         140.0\n",
       "173        97.0    2545         119.0\n",
       "311        70.0    2120          98.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xtest[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([18.99638227, 26.08497313, 27.24629194, 26.53384215, 29.92950162])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      18.0\n",
       "340    25.8\n",
       "206    26.5\n",
       "173    24.0\n",
       "311    32.1\n",
       "Name: mpg, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytest[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE : 21.974257356093474\n",
      "RMSE: 4.687670781538895\n"
     ]
    }
   ],
   "source": [
    "mse = mean_squared_error(ytest, y_pred)\n",
    "print(f\"MSE : {mse}\")\n",
    "print(f\"RMSE: {np.sqrt(mse)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 65.43932295572039\n"
     ]
    }
   ],
   "source": [
    "acc = r2_score(ytest, y_pred)\n",
    "print(f\"Accuracy: {acc*100}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "horsepower Corr Coeff: -0.77 \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    weight Corr Coeff: -0.83 \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "displacement Corr Coeff: -0.80 \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for col in features.columns:\n",
    "    print(f\"{col:>10} Corr Coeff: {np.corrcoef(features[col], target)[0][1]:>5.2f} \")\n",
    "    plt.figure(dpi=150)\n",
    "    plt.scatter(xtest[col], ytest, label='Actual')\n",
    "    plt.scatter(xtest[col], y_pred, label='Prediction')\n",
    "    plt.xlabel(col)\n",
    "    plt.ylabel('Price')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('mileage_data.pkl', 'wb') as fp:\n",
    "    pickle.dump(model, fp)\n",
    "    fp.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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