{"id":144,"date":"2018-12-27T07:13:09","date_gmt":"2018-12-27T07:13:09","guid":{"rendered":"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=144"},"modified":"2018-12-27T07:13:53","modified_gmt":"2018-12-27T07:13:53","slug":"the-algebra-of-least-squares","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp07\/chapter\/the-algebra-of-least-squares\/","title":{"rendered":"The Algebra of Least Squares"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0QdPPhZUqMQ\" 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\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"alignnone size-full wp-image-145\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1.jpg\" alt=\"\" width=\"1117\" height=\"1477\" \/> <img class=\"alignnone size-full wp-image-146\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2.jpg\" alt=\"\" width=\"1065\" height=\"1577\" \/> <img class=\"alignnone size-full wp-image-147\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3.jpg\" alt=\"\" width=\"1085\" height=\"1247\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on The Algebra of Least Squares<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/0QdPPhZUqMQ\" 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>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/0QdPPhZUqMQ\" 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=\"alignnone size-full wp-image-145\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1.jpg\" alt=\"\" width=\"1117\" height=\"1477\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1.jpg 1117w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-227x300.jpg 227w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-768x1016.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-774x1024.jpg 774w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-65x86.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-225x298.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-1-350x463.jpg 350w\" sizes=\"auto, (max-width: 1117px) 100vw, 1117px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-146\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2.jpg\" alt=\"\" width=\"1065\" height=\"1577\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2.jpg 1065w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-203x300.jpg 203w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-768x1137.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-692x1024.jpg 692w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-65x96.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-225x333.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-2-350x518.jpg 350w\" sizes=\"auto, (max-width: 1065px) 100vw, 1065px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-147\" src=\"http:\/\/statp07.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3.jpg\" alt=\"\" width=\"1085\" height=\"1247\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3.jpg 1085w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-261x300.jpg 261w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-768x883.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-891x1024.jpg 891w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-65x75.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-225x259.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp07\/wp-content\/uploads\/sites\/134\/2018\/12\/1522665200Thealgebraofleastsquares-3-350x402.jpg 350w\" sizes=\"auto, (max-width: 1085px) 100vw, 1085px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on The Algebra of Least Squares<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/0QdPPhZUqMQ\" 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\" 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