{"id":205,"date":"2014-11-15T20:34:08","date_gmt":"2014-11-15T20:34:08","guid":{"rendered":"https:\/\/jasonbailey.net\/stuff\/?p=205"},"modified":"2014-11-15T20:35:12","modified_gmt":"2014-11-15T20:35:12","slug":"derivation-linear-least-squares","status":"publish","type":"post","link":"https:\/\/jasonbailey.net\/stuff\/derivation-linear-least-squares\/","title":{"rendered":"Derivation of the linear least squares"},"content":{"rendered":"<p>I&#8217;ve been looking for a good derivation of linear least squares. Linear Least Squares attempts to fit a straight line to data by minimising the error between the data and the fitted line.<\/p>\n<p>The fitted line is usually described in the following format:<\/p>\n<p>y=mx+c<\/p>\n<p>Here&#8217;s a<a title=\"derivation of least squares\" href=\"http:\/\/isites.harvard.edu\/fs\/docs\/icb.topic515975.files\/OLSDerivation.pdf\"> good derivation<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>I&#8217;ve been looking for a good derivation of linear least squares. Linear Least Squares attempts to fit a straight line to data by minimising the error between the data and the fitted line. The fitted line is usually described in the following format: y=mx+c Here&#8217;s a good derivation &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,7],"tags":[22],"class_list":["post-205","post","type-post","status-publish","format-standard","hentry","category-data-analytics","category-statistics","tag-least-squares"],"_links":{"self":[{"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/posts\/205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/comments?post=205"}],"version-history":[{"count":1,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/posts\/205\/revisions"}],"predecessor-version":[{"id":206,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/posts\/205\/revisions\/206"}],"wp:attachment":[{"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/media?parent=205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/categories?post=205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jasonbailey.net\/stuff\/wp-json\/wp\/v2\/tags?post=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}