{"id":130,"date":"2018-12-31T06:31:58","date_gmt":"2018-12-31T06:31:58","guid":{"rendered":"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=130"},"modified":"2018-12-31T06:51:37","modified_gmt":"2018-12-31T06:51:37","slug":"multivariate-linear-models-iv","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp11\/chapter\/multivariate-linear-models-iv\/","title":{"rendered":"Multivariate Linear Models: IV"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/r4SHHc20A8k\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-133\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1.jpg\" alt=\"\" width=\"1369\" height=\"1453\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-134\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2.jpg\" alt=\"\" width=\"1357\" height=\"1829\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-135\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3.jpg\" alt=\"\" width=\"1401\" height=\"1861\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-136\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4.jpg\" alt=\"\" width=\"1361\" height=\"1849\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Multivariate Linear Models: IV<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/r4SHHc20A8k\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"aligncenter size-full wp-image-137\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09.jpg\" alt=\"\" width=\"934\" height=\"347\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-138\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13.jpg\" alt=\"\" width=\"933\" height=\"348\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/r4SHHc20A8k\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-133\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1.jpg\" alt=\"\" width=\"1369\" height=\"1453\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1.jpg 1369w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-283x300.jpg 283w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-768x815.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-965x1024.jpg 965w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-65x69.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-225x239.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-1-350x371.jpg 350w\" sizes=\"auto, (max-width: 1369px) 100vw, 1369px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-134\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2.jpg\" alt=\"\" width=\"1357\" height=\"1829\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2.jpg 1357w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-223x300.jpg 223w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-768x1035.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-760x1024.jpg 760w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-225x303.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-2-350x472.jpg 350w\" sizes=\"auto, (max-width: 1357px) 100vw, 1357px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-135\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3.jpg\" alt=\"\" width=\"1401\" height=\"1861\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3.jpg 1401w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-226x300.jpg 226w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-768x1020.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-771x1024.jpg 771w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-65x86.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-225x299.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-3-350x465.jpg 350w\" sizes=\"auto, (max-width: 1401px) 100vw, 1401px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-136\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4.jpg\" alt=\"\" width=\"1361\" height=\"1849\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4.jpg 1361w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-221x300.jpg 221w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-768x1043.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-754x1024.jpg 754w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-65x88.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-225x306.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691121MultivariateLinearModels_4-4-350x475.jpg 350w\" sizes=\"auto, (max-width: 1361px) 100vw, 1361px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Multivariate Linear Models: IV<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/r4SHHc20A8k\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-137\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09.jpg\" alt=\"\" width=\"934\" height=\"347\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09.jpg 934w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09-300x111.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09-768x285.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09-225x84.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-09-350x130.jpg 350w\" sizes=\"auto, (max-width: 934px) 100vw, 934px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-138\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13.jpg\" alt=\"\" width=\"933\" height=\"348\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13.jpg 933w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13-300x112.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13-768x286.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13-225x84.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691130MultivariateLinearModels_4_Ref-13-350x131.jpg 350w\" sizes=\"auto, (max-width: 933px) 100vw, 933px\" 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