{"id":2469,"date":"2023-07-22T03:25:54","date_gmt":"2023-07-22T03:25:54","guid":{"rendered":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%a1%e1%80%96%e1%80%bc%e1%80%b0%e1%80%9b%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99\/"},"modified":"2023-07-22T03:25:54","modified_gmt":"2023-07-22T03:25:54","slug":"python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%a1%e1%80%96%e1%80%bc%e1%80%b0%e1%80%9b%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-%e1%80%a1%e1%80%96%e1%80%bc%e1%80%b0%e1%80%9b%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a white&#39;s test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a (\u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>White&#8217;s test \u1000\u102d\u102f<\/strong> regression model \u1010\u103d\u1004\u103a <a href=\"https:\/\/statorials.org\/my\/heteroscedasticity-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">heteroscedasticity<\/a> \u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Heteroscedasticity \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a<\/a> \u104f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a <a href=\"https:\/\/statorials.org\/my\/\u1021\u1000\u103c\u103d\u1004\u103a\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038<\/a> \u1019\u100a\u102e\u1019\u100a\u102c \u1015\u103b\u1036\u1037\u1014\u103e\u1036\u1037\u101e\u103d\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u100a\u103a\u104a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u101b\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u100a\u102e\u1021\u1019\u103b\u103e \u1000\u103d\u1032\u1011\u103d\u1000\u103a\u101e\u103d\u102c\u1038\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c <a href=\"https:\/\/statorials.org\/my\/linear-regression-\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1001\u103b\u102d\u102f\u1038\u1016\u1031\u102c\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u103c\u103f\u1014\u102c\u1016\u103c\u1005\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Python \u1010\u103d\u1004\u103a White \u104f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>mtcars<\/strong> dataset \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression\/\" target=\"_blank\" rel=\"noopener\">\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c linear regression model<\/a> \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1015\u1014\u103a\u1012\u102b DataFrame \u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1010\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">linear_model<\/span> <span style=\"color: #008000;\">import<\/span> LinearRegression\n<span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">diagnostic<\/span> <span style=\"color: #008000;\">import<\/span> het_white\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define URL where dataset is located\n<\/span>url = \"https:\/\/raw.githubusercontent.com\/Statorials\/Python-Guides\/main\/mtcars.csv\"\n\n<span style=\"color: #008080;\">#read in data\n<\/span>data = pd. <span style=\"color: #3366ff;\">read_csv<\/span> (url)\n\n<span style=\"color: #008080;\">#view summary of data\n<\/span>data. <span style=\"color: #3366ff;\">info<\/span> ()\n\n&lt;class 'pandas.core.frame.DataFrame'&gt;\nRangeIndex: 32 entries, 0 to 31\nData columns (total 12 columns):\n # Column Non-Null Count Dtype  \n--- ------ -------------- -----  \n 0 model 32 non-null object \n 1 mpg 32 non-null float64\n 2 cyl 32 non-null int64  \n 3 disp 32 non-null float64\n 4 hp 32 non-null int64  \n 5 drat 32 non-null float64\n 6 wt 32 non-null float64\n 7 qsec 32 non-null float64\n 8 vs 32 non-null int64  \n 9 am 32 non-null int64  \n 10 gear 32 non-null int64  \n 11 carb 32 non-null int64  \ndtypes: float64(5), int64(6), object(1)\n<\/strong><\/pre>\n<h3> <strong>\u1021\u1006\u1004\u1037\u103a 2- \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a <strong>disp<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>hp \u1000\u102d\u102f<\/strong> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1016\u103c\u1005\u103a <strong>mpg<\/strong> \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define response variable\n<\/span>y = data[' <span style=\"color: #ff0000;\">mpg<\/span> ']\n\n<span style=\"color: #008080;\">#define predictor variables\n<\/span>x = data[[' <span style=\"color: #ff0000;\">disp<\/span> ', ' <span style=\"color: #ff0000;\">hp<\/span> ']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3: White \u104f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a White&#8217;s test \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a <a href=\"https:\/\/www.statsmodels.org\/dev\/generated\/statsmodels.stats.diagnostic.het_white.html\" target=\"_blank\" rel=\"noopener\">het_white()<\/a> function \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d regression model \u1010\u103d\u1004\u103a heteroscedasticity \u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform White's test\n<\/span>white_test = het_white(model. <span style=\"color: #3366ff;\">resid<\/span> , model. <span style=\"color: #3366ff;\">model<\/span> . <span style=\"color: #3366ff;\">exog<\/span> )\n\n<span style=\"color: #008080;\">#define labels to use for output of White's test\n<\/span>labels = ['Test Statistic', 'Test Statistic p-value', 'F-Statistic', 'F-Test p-value']\n\n<span style=\"color: #008080;\">#print results of White's test\n<span style=\"color: #008000;\">print<\/span><\/span> (dict(zip(labels, white_test)))\n\n{'Test Statistic': 7.076620330416624, 'Test Statistic p-value': 0.21500404394263936,\n 'F-Statistic': 1.4764621093131864, 'F-Test p-value': 0.23147065943879694}<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a <sup>X2<\/sup> = <strong>7.0766<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c p-value \u101e\u100a\u103a <strong>0.215<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">White test \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038 hypotheses \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Null (H <sub>0<\/sub> )<\/strong> : Homoskedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a (\u1000\u103b\u1014\u103a\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a\u101c\u100a\u103a\u1038 \u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u1014\u1031\u101e\u100a\u103a)\u104a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038 ( <sub>HA<\/sub> ) :<\/strong> Heteroskedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a (\u1000\u103b\u1014\u103a\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u100a\u102e\u1010\u1030\u100a\u102e\u1019\u103b\u103e \u1019\u1015\u103c\u1014\u1037\u103a\u1000\u103b\u1032\u1015\u102b)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101c\u102d\u102f\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1019\u103b\u102d\u102f\u1038 \u101b\u103e\u102d\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1021\u1001\u102d\u102f\u1004\u103a\u1021\u1019\u102c\u1006\u102d\u102f\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038 \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<h3> <strong>\u1018\u102c\u1006\u1000\u103a\u101c\u102f\u1015\u103a\u101b\u1019\u101c\u1032<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u101a\u103a\u104d \u101e\u1004\u103a\u101e\u100a\u103a White&#8217;s test \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u1000\u104a heteroskedasticity \u101e\u100a\u103a \u101b\u103e\u102d\u1019\u1014\u1031\u1018\u1032 \u1019\u1030\u101c\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u104f \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1014\u103a \u1006\u1000\u103a\u101c\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a heteroskedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a regression output table \u1010\u103d\u1004\u103a\u1015\u103c\u101e\u1011\u102c\u1038\u101e\u1031\u102c standard errors \u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a \u1018\u102f\u1036\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u103d\u1004\u103a \u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-data-\u1000\u102d\u102f\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">\u104f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u104a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u101b\u1010\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1000\u102f\u1017\u1010\u102f\u1036\u1038\u1021\u1019\u103c\u1005\u103a\u1000\u102d\u102f<\/a> \u101a\u1030\u1006\u1031\u102c\u1004\u103a\u101e\u103d\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101a\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1017\u102e\u1007 \u1015\u103b\u1031\u102c\u1000\u103a\u1000\u103d\u101a\u103a\u101e\u103d\u102c\u1038\u1005\u1031\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101e\u102f\u1036\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Weighted regression \u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f \u1010\u1015\u103a\u1006\u1004\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u1012\u1031\u1010\u102c\u1021\u1019\u103e\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u104b \u1021\u1001\u103c\u1031\u1001\u1036\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1015\u103c\u102e\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u100a\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u100a\u103a\u1038\u1015\u102b\u1038\u1005\u1031\u101e\u100a\u103a\u104b \u101e\u1004\u1037\u103a\u101c\u103b\u1031\u102c\u103a\u101e\u1031\u102c\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u103b\u102d\u102f\u1038\u1000\u103d\u1032\u1001\u103c\u1004\u103a\u1038\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1015\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u101b\u103e\u102d \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1014\u103a\u1006\u102f\u1010\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/linear-regression-python\/\" target=\"_blank\" rel=\"noopener\">Python \u101b\u103e\u102d Linear Regression \u1021\u1010\u103d\u1000\u103a \u1015\u103c\u102e\u1038\u1015\u103c\u100a\u1037\u103a\u1005\u102f\u1036\u101e\u1031\u102c \u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1002\u101b\u1015\u103a\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a Residual Plot \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-vive-\u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a VIF \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>White&#8217;s test \u1000\u102d\u102f regression model \u1010\u103d\u1004\u103a heteroscedasticity \u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b Heteroscedasticity \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u104f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038 \u1019\u100a\u102e\u1019\u100a\u102c \u1015\u103b\u1036\u1037\u1014\u103e\u1036\u1037\u101e\u103d\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u100a\u103a\u104a \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u101b\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u100a\u102e\u1021\u1019\u103b\u103e \u1000\u103d\u1032\u1011\u103d\u1000\u103a\u101e\u103d\u102c\u1038\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u103b\u102d\u102f\u1038\u1016\u1031\u102c\u1000\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u103c\u103f\u1014\u102c\u1016\u103c\u1005\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Python \u1010\u103d\u1004\u103a White \u104f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1010\u1004\u103a\u1015\u102b\u104b \u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a mtcars dataset \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c linear [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python \u1010\u103d\u1004\u103a White&#039;s Test \u1000\u102d\u102f\u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038 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