{"id":1636,"date":"2023-07-25T13:53:58","date_gmt":"2023-07-25T13:53:58","guid":{"rendered":"https:\/\/statorials.org\/my\/r-in-breusch-godfrey-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/"},"modified":"2023-07-25T13:53:58","modified_gmt":"2023-07-25T13:53:58","slug":"r-in-breusch-godfrey-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-in-breusch-godfrey-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be%e1%80%af\/","title":{"rendered":"R \u1010\u103d\u1004\u103a breusch-godfrey \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><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/linear-regression-\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">linear regression \u104f \u1021\u1013\u102d\u1000 \u101a\u1030\u1006\u1001\u103b\u1000\u103a<\/a> \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038 \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a \u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038 \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1021\u1019\u103e\u102c\u1005\u102c autocorrelation \u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/durbin-watson-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f-r\/\" 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\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1021\u1019\u103e\u102c\u1005\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101c\u102d\u102f\u1015\u102b\u1000 <strong>Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b <a href=\"https:\/\/statorials.org\/my\/\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038-\u1041\/\" target=\"_blank\" rel=\"noopener\">\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (null hypothesis)-<\/strong> <em>p<\/em> \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1021\u1019\u103e\u102c\u1005\u102c\u104f \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\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> <em>p<\/em> \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1021\u1019\u103e\u102c\u1005\u102c\u104f \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\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 \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f <em>p<\/em> \u1012\u102e\u1002\u101b\u102e\u1016\u103c\u1004\u1037\u103a Chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u1031\u102c <a href=\"https:\/\/statorials.org\/my\/p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c-\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/a> \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a (\u1025\u1015\u1019\u102c- 0.05) \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1014\u102d\u1019\u1037\u103a\u101e\u1031\u102c\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u1010\u103d\u1004\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <em>p<\/em> \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c autocorrelation \u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>lmtest<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <strong>bgtest(y ~ x, order = p)<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1024 syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u104f\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f (x1 \u1014\u103e\u1004\u1037\u103a x2) \u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a (y) \u1015\u102b\u101d\u1004\u103a\u101e\u1031\u102c \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u102f\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x1=c(3, 4, 4, 5, 8, 9, 11, 13, 14, 16, 17, 20),\n                 x2=c(7, 7, 8, 8, 12, 4, 5, 15, 9, 17, 19, 19),\n                  y=c(24, 25, 25, 27, 29, 31, 34, 34, 39, 30, 40, 49))\n\n<span style=\"color: #008080;\">#view first six rows of dataset\n<\/span>head(df)\n\n  x1 x2 y\n1 3 7 24\n2 4 7 25\n3 4 8 25\n4 5 8 27\n5 8 12 29\n6 9 4 31<\/strong><\/pre>\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 <strong>lmtest<\/strong> \u1021\u1011\u102f\u1015\u103a\u1019\u103e <strong>bgtest()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a \u1021\u1005\u102e\u1021\u1005\u1025\u103a p = 3 \u1010\u103d\u1004\u103a \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 autocorrelation \u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load lmtest package\n<\/span><span style=\"color: #993300;\">library<\/span> (lmtest)\n\n<span style=\"color: #008080;\">#perform Breusch-Godfrey test\n<\/span>bgtest(y ~ x1 + x2, order= <span style=\"color: #008000;\">3<\/span> , data=df)\n\n\tBreusch-Godfrey test for serial correlation of order up to 3\n\ndata: y ~ x1 + x2\nLM test = 8.7031, df = 3, p-value = 0.03351\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1021\u101b \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>8.7031<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f 3 \u1012\u102e\u1002\u101b\u102e\u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c p-value \u101e\u100a\u103a <strong>0.03351<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 3 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1021\u1019\u103e\u102c\u1005\u102c\u104f\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>autocorrelation \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1019\u101c\u1032\u104b<\/strong><\/span><\/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<ul data-slot-rendered-dynamic=\"true\">\n<li> <span style=\"color: #000000;\">\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\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><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c \u1021\u1019\u103e\u1010\u103a\u1005\u1009\u103a\u1006\u1000\u103a\u1005\u1015\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><\/li>\n<li> <span style=\"color: #000000;\">\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><\/li>\n<\/ul>\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> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c linear regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a linear regression \u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/durbin-watson-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f-r\/\" target=\"_blank\" rel=\"noopener\">R \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<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>linear regression \u104f \u1021\u1013\u102d\u1000 \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 \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a \u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038 \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b \u1015\u1011\u1019\u1021\u1019\u103e\u102c\u1005\u102c autocorrelation \u1021\u1010\u103d\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\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\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u102d\u102f\u1019\u102d\u102f\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1021\u1019\u103e\u102c\u1005\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a autocorrelation \u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101c\u102d\u102f\u1015\u102b\u1000 Breusch-Godfrey \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\u101c\u102d\u102f\u1021\u1015\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\u1015\u102b\u101e\u100a\u103a\u104b H 0 (null hypothesis)- p \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1021\u1019\u103e\u102c\u1005\u102c\u104f \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\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)- p \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1021\u1019\u103e\u102c\u1005\u102c\u104f [&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>R - Statology \u1010\u103d\u1004\u103a Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R in Breusch-Godfrey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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content=\"https:\/\/statorials.org\/my\/r-in-breusch-godfrey-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T13:53:58+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\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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