bigdata/day3-1/多元回归.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"id": "initial_id",
"metadata": {
"collapsed": true,
"ExecuteTime": {
"end_time": "2024-03-03T13:08:57.554315Z",
"start_time": "2024-03-03T13:08:57.546962Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Number TV radio newspaper sales\n",
"0 1 230.1 37.8 69.2 22.1\n",
"1 2 44.5 39.3 45.1 10.4\n",
"2 3 17.2 45.9 69.3 9.3\n",
"3 4 151.5 41.3 58.5 18.5\n",
"4 5 180.8 10.8 58.4 12.9\n"
]
}
],
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"import statsmodels.api as sm\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"df = pd.read_csv('Advertising.csv')\n",
"print(df.head())"
]
},
{
"cell_type": "code",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Number TV radio newspaper sales\n",
"count 200.000000 200.000000 200.000000 200.000000 200.000000\n",
"mean 100.500000 147.042500 23.264000 30.554000 14.022500\n",
"std 57.879185 85.854236 14.846809 21.778621 5.217457\n",
"min 1.000000 0.700000 0.000000 0.300000 1.600000\n",
"25% 50.750000 74.375000 9.975000 12.750000 10.375000\n",
"50% 100.500000 149.750000 22.900000 25.750000 12.900000\n",
"75% 150.250000 218.825000 36.525000 45.100000 17.400000\n",
"max 200.000000 296.400000 49.600000 114.000000 27.000000\n"
]
}
],
"source": [
"print(df.describe())"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:09:04.027788Z",
"start_time": "2024-03-03T13:09:04.019119Z"
}
},
"id": "2ad886f1c1a1bd53",
"execution_count": 4
},
{
"cell_type": "code",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 200 entries, 0 to 199\n",
"Data columns (total 5 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 Number 200 non-null int64 \n",
" 1 TV 200 non-null float64\n",
" 2 radio 200 non-null float64\n",
" 3 newspaper 200 non-null float64\n",
" 4 sales 200 non-null float64\n",
"dtypes: float64(4), int64(1)\n",
"memory usage: 7.9 KB\n",
"None\n"
]
}
],
"source": [
"print(df.info())"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:09:07.255150Z",
"start_time": "2024-03-03T13:09:07.248507Z"
}
},
"id": "febbe6929065f206",
"execution_count": 5
},
{
"cell_type": "code",
"outputs": [
{
"data": {
"text/plain": "<Figure size 750x250 with 3 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"\n",
"sns.pairplot(df, x_vars=['TV','radio','newspaper'], y_vars='sales') \n",
"plt.show() "
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:10:45.027369Z",
"start_time": "2024-03-03T13:10:44.757327Z"
}
},
"id": "8eb0526faf132bc4",
"execution_count": 7
},
{
"cell_type": "code",
"outputs": [],
"source": [
"X = df[['TV', 'radio', 'newspaper']]\n",
"y = df['sales'].values.ravel()\n"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:12:08.187828Z",
"start_time": "2024-03-03T13:12:08.183491Z"
}
},
"id": "ca786741b308cf57",
"execution_count": 8
},
{
"cell_type": "code",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.897\n",
"Model: OLS Adj. R-squared: 0.896\n",
"Method: Least Squares F-statistic: 570.3\n",
"Date: Sun, 03 Mar 2024 Prob (F-statistic): 1.58e-96\n",
"Time: 21:12:21 Log-Likelihood: -386.18\n",
"No. Observations: 200 AIC: 780.4\n",
"Df Residuals: 196 BIC: 793.6\n",
"Df Model: 3 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 2.9389 0.312 9.422 0.000 2.324 3.554\n",
"TV 0.0458 0.001 32.809 0.000 0.043 0.049\n",
"radio 0.1885 0.009 21.893 0.000 0.172 0.206\n",
"newspaper -0.0010 0.006 -0.177 0.860 -0.013 0.011\n",
"==============================================================================\n",
"Omnibus: 60.414 Durbin-Watson: 2.084\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 151.241\n",
"Skew: -1.327 Prob(JB): 1.44e-33\n",
"Kurtosis: 6.332 Cond. No. 454.\n",
"==============================================================================\n",
"\n",
"Notes:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"model_ols = sm.OLS(y, sm.add_constant(X)).fit()\n",
"print(model_ols.summary())"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:12:21.952791Z",
"start_time": "2024-03-03T13:12:21.943551Z"
}
},
"id": "159073cf4dd90f61",
"execution_count": 9
},
{
"cell_type": "code",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.04656457 0.17915812 0.00345046] 2.8769666223179335\n",
"0.9156213613792231\n"
]
}
],
"source": [
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=1, test_size=0.25)\n",
"model_lr = LinearRegression().fit(X_train, y_train)\n",
"print(model_lr.coef_, model_lr.intercept_)\n",
"print(model_lr.score(X_test, y_test))"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:12:37.647582Z",
"start_time": "2024-03-03T13:12:37.638991Z"
}
},
"id": "4dcef7d4d1680716",
"execution_count": 10
},
{
"cell_type": "code",
"outputs": [],
"source": [
"y_pred = model_lr.predict(X_test)"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:13:16.846237Z",
"start_time": "2024-03-03T13:13:16.842953Z"
}
},
"id": "d2057891ab6065c3",
"execution_count": 11
},
{
"cell_type": "code",
"outputs": [
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"matplotlib.rcParams['font.sans-serif']=['SimHei'] \n",
"matplotlib.rcParams['axes.unicode_minus']=False \n",
"plt.plot(y_test, label='真实值')\n",
"plt.plot(y_pred, label='预测值')\n",
"plt.xlabel('样本编号')\n",
"plt.ylabel('销量')\n",
"plt.legend()\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2024-03-03T13:17:12.449095Z",
"start_time": "2024-03-03T13:17:12.340814Z"
}
},
"id": "f9034e7e75540113",
"execution_count": 15
},
{
"cell_type": "code",
"outputs": [],
"source": [],
"metadata": {
"collapsed": false
},
"id": "fd647b97de79325c"
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}