{"id":870,"date":"2023-07-28T11:41:06","date_gmt":"2023-07-28T11:41:06","guid":{"rendered":"https:\/\/statorials.org\/my\/durbin-watson-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba-python\/"},"modified":"2023-07-28T11:41:06","modified_gmt":"2023-07-28T11:41:06","slug":"durbin-watson-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/durbin-watson-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba-python\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a durbin-watson \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><a href=\"https:\/\/statorials.org\/my\/linear-regression-\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">linear regression \u104f \u101a\u1030\u1006\u1001\u103b\u1000\u103a<\/a> <span style=\"color: #000000;\">\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c<\/span> <span style=\"color: #000000;\">\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1001\u103c\u1004\u103a\u1038\u1015\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <a href=\"https:\/\/statorials.org\/my\/linear-regression-python\/\" target=\"_blank\" rel=\"noopener\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/a> \u104f \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1006\u1000\u103a\u1014\u103d\u103e\u101a\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/durbin-watson-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Durbin-Watson \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (null hypothesis):<\/strong> \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> (\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a)-<\/strong> \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a 2*(1-r) \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1015\u103c\u102e\u1038 r \u101e\u100a\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104f \u1014\u1019\u1030\u1014\u102c \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1014\u1000\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038 0 \u1014\u103e\u1004\u1037\u103a 4 \u1021\u1000\u103c\u102c\u1038\u101b\u103e\u102d\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>2<\/strong> \u104f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1014\u103d\u103e\u101a\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a <strong>0<\/strong> \u101e\u102d\u102f\u1037 \u1015\u102d\u102f\u1019\u102d\u102f\u1014\u102e\u1038\u1000\u1015\u103a\u101c\u1031\u101c\u1031\u104a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1014\u103d\u103e\u101a\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 <strong>4<\/strong> \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1014\u102e\u1038\u1005\u1015\u103a\u101c\u1031\u104a \u1021\u1014\u102f\u1010\u103a\u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1014\u103d\u103e\u101a\u103a\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a 1.5 \u1014\u103e\u1004\u1037\u103a 2.5 \u1021\u1000\u103c\u102c\u1038 \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u101f\u102f \u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1024\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u104f\u1021\u1015\u103c\u1004\u103a\u1018\u1000\u103a\u101b\u103e\u102d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a autocorrelation \u101e\u100a\u103a \u1015\u103c\u103f\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a Durbin-Watson \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Python \u1010\u103d\u1004\u103a Durbin-Watson \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1018\u1010\u103a\u1005\u1000\u1000\u103a\u1018\u1031\u102c\u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038 10 \u1026\u1038\u104f \u1021\u101b\u100a\u103a\u1021\u1001\u103b\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u1037\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> pandas <span style=\"color: #107d3f;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset<\/span>\ndf = pd.DataFrame({'rating': [90, 85, 82, 88, 94, 90, 76, 75, 87, 86],\n                   'points': [25, 20, 14, 16, 27, 20, 12, 15, 14, 19],\n                   'assists': [5, 7, 7, 8, 5, 7, 6, 9, 9, 5],\n                   'rebounds': [11, 8, 10, 6, 6, 9, 6, 10, 10, 7]})\n\n<span style=\"color: #008080;\">#view dataset\n<\/span>df\n\n\trating points assists rebounds\n0 90 25 5 11\n1 85 20 7 8\n2 82 14 7 10\n3 88 16 8 6\n4 94 27 5 6\n5 90 20 7 9\n6 76 12 6 6\n7 75 15 9 10\n8 87 14 9 10\n9 86 19 5 7<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\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\u1021\u1016\u103c\u1005\u103a <em>\u1021\u1006\u1004\u1037\u103a\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/em> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u102c \u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u1031\u102c\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \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 \u1021\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1021\u102c\u1038 \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1021\u1016\u103c\u1005\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> statsmodels.formula.api <span style=\"color: #107d3f;\">import<\/span> ols\n\n<span style=\"color: #008080;\">#fit multiple linear regression model\n<\/span>model = ols('rating ~ points + assists + rebounds', data=df). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>print(model.summary())\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a statsmodels \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <a href=\"https:\/\/www.statsmodels.org\/stable\/generated\/statsmodels.stats.stattools.durbin_watson.html\" target=\"_blank\" rel=\"noopener\">durbin_watson() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Watson Durbin \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> statsmodels.stats.stattools <span style=\"color: #107d3f;\">import<\/span> durbin_watson\n\n<span style=\"color: #008080;\">#perform Durbin-Watson test\n<\/span>durbin_watson(model.resid)\n\n2,392<\/strong><\/pre>\n<p> <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 <strong>2.392<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 1.5 \u1014\u103e\u1004\u1037\u103a 2.5 \u1000\u103c\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a autocorrelation \u101e\u100a\u103a \u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1015\u103c\u103f\u1014\u102c\u1019\u101f\u102f\u1010\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101a\u1030\u1006\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>autocorrelation \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1019\u101c\u1032\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u101a\u103a\u104d \u101e\u1004\u103a\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c autocorrelation \u1010\u103d\u1004\u103a autocorrelation \u101b\u103e\u102d\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u1000\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u100a\u103a\u101f\u102f \u101e\u1004\u103a\u101a\u1030\u1006\u1015\u102b\u1000 \u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f \u1015\u103c\u1004\u103a\u101b\u1014\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u102d\u102f\u1037 \u1019\u103e\u102e\u1001\u102d\u102f\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\/\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1014\u1031\u102c\u1000\u103a\u1000\u103b\u1000\u103b\u1014\u103a\u1014\u1031\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1005\u1009\u103a\u1038\u1005\u102c\u1038\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c \u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u104a \u101e\u1004\u1037\u103a variable \u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1019\u103b\u103e <em>\u1014\u103e\u1031\u102c\u1004\u1037\u103a\u1014\u103e\u1031\u1038\u1014\u1031\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038<\/em> \u101e\u1031\u1001\u103b\u102c\u1015\u102b\u1005\u1031\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u101b\u102c\u101e\u102e\u1021\u101c\u102d\u102f\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101e\u102d\u102f\u1037 \u101b\u102c\u101e\u102e\u1021\u101c\u102d\u102f\u1000\u103a\u1021\u101b\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u1005\u1009\u103a\u1038\u1005\u102c\u1038\u1015\u102b\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>linear regression \u104f \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1001\u103c\u1004\u103a\u1038\u1015\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u100a\u103a\u104b \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u104f \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1006\u1000\u103a\u1014\u103d\u103e\u101a\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a Durbin-Watson \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a- H 0 (null hypothesis): \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u102b\u104b H A (\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a)- \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u101b\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a 2*(1-r) \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1015\u103c\u102e\u1038 r \u101e\u100a\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104f \u1014\u1019\u1030\u1014\u102c \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1014\u1000\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038 0 [&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 - Statology \u1010\u103d\u1004\u103a Durbin-Watson Test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"Python 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\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/durbin-watson-\u1005\u1019\u103a\u1038\u101e\u1015\u103a-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T11:41:06+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n<script type=\"application\/ld+json\" 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