{"id":628,"date":"2023-07-29T06:57:39","date_gmt":"2023-07-29T06:57:39","guid":{"rendered":"https:\/\/statorials.org\/my\/breusch-pagan-stata-%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":"2023-07-29T06:57:39","modified_gmt":"2023-07-29T06:57:39","slug":"breusch-pagan-stata-%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\/breusch-pagan-stata-%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":"Stata \u101b\u103e\u102d breusch-pagan \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\/multiple-linear-regression-\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">Multiple linear regression<\/a> <span style=\"color: #000000;\">\u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c explanatory variables \u1014\u103e\u1004\u1037\u103a response variable \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> \u1000\u1036\u1019\u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c\u1014\u1032\u1037\u1015\u1032\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103e\u102c \u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u1010\u1010\u103a\u1010\u1032\u1037 \u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/heteroscedasticity-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">heteroscedasticity<\/a> <span style=\"color: #000000;\">\u101c\u102d\u102f\u1037 \u1001\u1031\u102b\u103a\u1010\u101a\u103a<\/span> <span style=\"color: #000000;\">\u104a \u1021\u1032\u1012\u102e\u1011\u1032\u1019\u103e\u102c \u1000\u103b\u1014\u103a\u1014\u1031\u1010\u1032\u1037\u1021\u101b\u102c\u1010\u103d\u1031\u101b\u1032\u1037 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101f\u102c \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1010\u1032\u1037 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u1032\u1037 \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1011\u1000\u103a \u1005\u1014\u1005\u103a\u1010\u1000\u103b \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1019\u103e\u102f\u1010\u103d\u1031 \u101b\u103e\u102d\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Heteroskedasticity \u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c <a href=\"https:\/\/statorials.org\/my\/pagan-breusch-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/a> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a Chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c p-value \u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1031\u102c\u1000\u103a\u104c (\u1021\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1019\u103e\u102c 0.01\u104a 0.05 \u1014\u103e\u1004\u1037\u103a 0.10) \u1016\u103c\u1005\u103a\u101c\u103b\u103e\u1004\u103a heteroscedasticity \u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Stata \u1010\u103d\u1004\u103a Breusch-Pagan \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<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Stata \u101b\u103e\u102d Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1016\u1031\u102c\u103a\u1015\u103c\u101b\u1014\u103a <em>\u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a<\/em> \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1011\u102c\u1038\u101e\u1031\u102c Stata \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1010\u1004\u103a\u1015\u103c\u102e\u1038\u1015\u103c\u101e\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1010\u1004\u103a\u101b\u1014\u103a\u1021\u1031\u102c\u1000\u103a\u1015\u102b command \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1005\u1014\u1005\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b command \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u1031\u1010\u102c\u1021\u1000\u103c\u1019\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u102b\u104b<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>br<\/strong><\/span> <\/p>\n<\/blockquote>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5948 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/robusteerrorsstata1.png\" sizes=\"\" srcset=\"\" alt=\"Stata \u1010\u103d\u1004\u103a \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\" width=\"634\" height=\"304\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1014\u103e\u1004\u1037\u103a <em>mpg<\/em> \u1014\u103e\u1004\u1037\u103a <em>weight<\/em> \u1000\u102d\u102f explanatory variables \u1021\u1016\u103c\u1005\u103a <em>\u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038<\/em> \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1019\u103b\u102c\u1038\u1015\u103c\u102c\u1038\u101e\u1031\u102c linear regression \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b command \u1000\u102d\u102f \u101b\u102d\u102f\u1000\u103a\u1011\u100a\u1037\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>regression price \u1005\u102d\u102f\u1004\u103a\u1038\u1005\u102d\u102f\u1004\u103a\u1038\u1001\u1019\u103a\u1038\u101c\u103e\u102d\u102f\u1004\u103a \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipleregstata1.png\" alt=\"Stata \u1010\u103d\u1004\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1021\u1019\u103c\u1031\u102c\u1000\u103a\u1021\u1019\u103c\u102c\u1038 \u1011\u103d\u1000\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b\" width=\"539\" height=\"259\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- Breusch-Pagan \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><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1000\u102d\u102f \u1010\u1015\u103a\u1006\u1004\u103a\u1015\u103c\u102e\u1038\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u104a &#8220; heteroscedasticity test&#8221;  \u104f \u1021\u1010\u102d\u102f\u1000\u1031\u102c\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c <strong>hettest<\/strong> command \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Breusch-Pagan \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-<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1015\u1030\u1006\u102f\u1036\u1038<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5958 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/breuschpaganstata1.png\" alt=\"Stata \u101b\u103e\u102d Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f\u101b\u101c\u1012\u103a\" width=\"496\" height=\"171\" srcset=\"\" sizes=\"\"><\/p>\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<p> <span style=\"color: #000000;\"><strong>\u101f\u102d\u102f-<\/strong> \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1006\u1000\u103a\u1019\u1015\u103c\u1010\u103a\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u1001\u103b\u100a\u103a\u1038\u1014\u103e\u102e\u1038\u101e\u1031\u102c\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038-<\/strong> \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u1032\u1037\u101e\u100a\u1037\u103a \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\u1015\u103c\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c <em>\u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038<\/em> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>chi2(1) \u101e\u100a\u103a<\/strong> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a\u104a \u1019\u103d\u1014\u103a\u1038\u101c\u103d\u1032 \u1042 \u1014\u102c\u101b\u102e \u1047\u1048 \u1019\u102d\u1014\u1005\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Prob &gt; chi2-<\/strong> \u1024\u101e\u100a\u103a\u1019\u103e\u102c chi-square \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u1031\u102c p-value \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104e\u1004\u103a\u1038\u101e\u100a\u103a 0.0001 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \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 \u1012\u1031\u1010\u102c\u1010\u103d\u1004\u103a heteroscedasticity \u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1018\u102c\u1006\u1000\u103a\u101c\u102f\u1015\u103a\u101b\u1019\u101c\u1032<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u101e\u1004\u103a \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u1000\u104a heteroscedasticity \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 \u1006\u1000\u103a\u101c\u1000\u103a\u1021\u1014\u1000\u103a\u1016\u103d\u1004\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u104a Breusch-Pagan \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1015\u103b\u1000\u103a\u1015\u103c\u101a\u103a\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u101e\u1004\u103a\u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1015\u102b\u1000\u104a \u1012\u1031\u1010\u102c\u1010\u103d\u1004\u103a \u1019\u103b\u102d\u102f\u1038\u1000\u103d\u1032\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f \u101b\u103e\u102d\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \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 \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u101b\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b \u1024\u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u101b\u103e\u102d\u1015\u103c\u102e\u1038\u104a<\/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> \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1010\u103d\u1004\u103a \u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101b\u1014\u103a \u101e\u1004\u103a\u1000\u103c\u102d\u102f\u1038\u1005\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u1004\u103a\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 \u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1021\u1005\u102c\u1038 \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038(\u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038)\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1000\u102d\u102f \u101a\u1030\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101c\u102d\u102f\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1015\u1005\u103a\u101b\u1014\u103a \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a \u1018\u102f\u1036\u1021\u101e\u103d\u1004\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u103e\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\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> \u1024\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\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\u102c\u1038 \u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\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 heteroskedasticity \u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f\u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c \u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u104b<\/strong> \u1001\u102d\u102f\u1004\u103a\u101c\u102f\u1036\u101e\u1031\u102c\u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a heteroskedasticity \u1015\u103c\u103f\u1014\u102c\u1021\u1010\u103d\u1000\u103a \u1015\u102d\u102f\u104d &#8220; \u1001\u102d\u102f\u1004\u103a\u1019\u102c&#8221;  \u1015\u103c\u102e\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u104f \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c\u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1010\u102d\u1000\u103b\u1005\u103d\u102c\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1015\u1031\u1038\u1010\u1010\u103a\u101e\u100a\u103a\u104b Stata \u101b\u103e\u102d \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c\u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101c\u1031\u1037\u101c\u102c\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/\u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c\u1005\u1036\u1021\u1019\u103e\u102c\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1000\u102d\u102f<\/a> \u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multiple linear regression \u101e\u100a\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c explanatory variables \u1014\u103e\u1004\u1037\u103a response variable \u1021\u1000\u103c\u102c\u1038 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1000\u1036\u1019\u1000\u1031\u102c\u1004\u103a\u1038\u1005\u103d\u102c\u1014\u1032\u1037\u1015\u1032\u104a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1019\u103e\u102c \u1019\u1000\u103c\u102c\u1001\u100f\u1006\u102d\u102f\u101e\u101c\u102d\u102f \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u1010\u1010\u103a\u1010\u1032\u1037 \u1015\u103c\u103f\u1014\u102c\u1000\u102d\u102f heteroscedasticity \u101c\u102d\u102f\u1037 \u1001\u1031\u102b\u103a\u1010\u101a\u103a \u104a \u1021\u1032\u1012\u102e\u1011\u1032\u1019\u103e\u102c \u1000\u103b\u1014\u103a\u1014\u1031\u1010\u1032\u1037\u1021\u101b\u102c\u1010\u103d\u1031\u101b\u1032\u1037 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101f\u102c \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1010\u1032\u1037 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101b\u1032\u1037 \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1011\u1000\u103a 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