{"id":29510,"date":"2015-04-25T03:42:53","date_gmt":"2015-04-25T03:42:53","guid":{"rendered":"http:\/\/vskills.in\/certification\/blog\/?p=29510"},"modified":"2024-04-03T13:16:33","modified_gmt":"2024-04-03T07:46:33","slug":"classical-linear-regression-model","status":"publish","type":"post","link":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/","title":{"rendered":"Classical Linear Regression Model"},"content":{"rendered":"<p style=\"text-align: center;\"><a ref=\"magnificPopup\" href=\"http:\/\/vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-29543\" src=\"http:\/\/vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\" alt=\"Classical Linear Regression Model\" width=\"232\" height=\"194\" \/><\/a><\/p>\n<p>There are some assumptions relating to CLRM. These assumptions are necessary to show that the estimation technique, Ordinary Least Square Method has a number of desirable properties and also that the hypothesis tests regarding the coefficient estimates could be validly conducted.<\/p>\n<p>The Assumptions are:<\/p>\n<ol>\n<li>Linear Regression Model, that is, the model is linear in parameters and not necessarily in variables.<\/li>\n<li>X (explanatory variable) is fixed or known to us. Hence, X is non-stochastic.<\/li>\n<li>Mean of disturbance term, u is 0.<\/li>\n<li>u is homoscedastic, that is, u has equal variance for all the terms.<\/li>\n<li>There is not auto correlation between two disturbance terms, u. That is, covariance between them is 0.<\/li>\n<li>0 correlation between u and X. Therefore, X is exogenous.<\/li>\n<li>Number of sample observations (n) is greater than number of parameters to be estimated.<\/li>\n<li>Variance of X is finite, that is, greater than 0.<\/li>\n<li>There is no specification bias or error in model, which means, all the relevant variables must be included in the linear regression model.<\/li>\n<li>There exists no perfect linear relationship between explanatory variables.<\/li>\n<li>Random error term u, follows Normal Distribution with mean 0.<\/li>\n<\/ol>\n<p><a href=\"http:\/\/www.vskills.in\/certification\/certifications\">Click here for government certifications<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are some assumptions relating to CLRM. These assumptions are necessary to show that the estimation technique, Ordinary Least Square Method has a number of desirable properties and also that the hypothesis tests regarding the coefficient estimates could be validly conducted. The Assumptions are: Linear Regression Model, that is, the model is linear in parameters&#8230;<\/p>\n","protected":false},"author":505,"featured_media":29543,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[1560],"tags":[3402,1568,3400,3403,3401],"class_list":["post-29510","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-arbit","tag-assumptions","tag-economics","tag-linear","tag-properties","tag-regression"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Classical Linear Regression Model - Vskills Blog<\/title>\n<meta name=\"description\" content=\"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Classical Linear Regression Model - Vskills Blog\" \/>\n<meta property=\"og:description\" content=\"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/\" \/>\n<meta property=\"og:site_name\" content=\"Vskills Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/vskills.in\" \/>\n<meta property=\"article:published_time\" content=\"2015-04-25T03:42:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-04-03T07:46:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\" \/>\n\t<meta property=\"og:image:width\" content=\"232\" \/>\n\t<meta property=\"og:image:height\" content=\"194\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Heeral Nagpal\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Heeral Nagpal\" \/>\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\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/\",\"url\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/\",\"name\":\"Classical Linear Regression Model - Vskills Blog\",\"isPartOf\":{\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\",\"datePublished\":\"2015-04-25T03:42:53+00:00\",\"dateModified\":\"2024-04-03T07:46:33+00:00\",\"author\":{\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/6f833ca7bced601a91c4212ca58b511f\"},\"description\":\"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!\",\"breadcrumb\":{\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage\",\"url\":\"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\",\"contentUrl\":\"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png\",\"width\":232,\"height\":194},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.vskills.in\/certification\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Classical Linear Regression Model\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/#website\",\"url\":\"https:\/\/www.vskills.in\/certification\/blog\/\",\"name\":\"Vskills Blog\",\"description\":\"Vskills - A Initiative in Assessment to Enhance Employability\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.vskills.in\/certification\/blog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/6f833ca7bced601a91c4212ca58b511f\",\"name\":\"Heeral Nagpal\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/6eaddc2f72bb4f8ae7b43107e5fbceabf3082d3e27cf9d21e179f309a50ae7d0?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/6eaddc2f72bb4f8ae7b43107e5fbceabf3082d3e27cf9d21e179f309a50ae7d0?s=96&d=mm&r=g\",\"caption\":\"Heeral Nagpal\"},\"url\":\"https:\/\/www.vskills.in\/certification\/blog\/author\/heeral-nagpal\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Classical Linear Regression Model - Vskills Blog","description":"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/","og_locale":"en_US","og_type":"article","og_title":"Classical Linear Regression Model - Vskills Blog","og_description":"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!","og_url":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/","og_site_name":"Vskills Blog","article_publisher":"https:\/\/www.facebook.com\/vskills.in","article_published_time":"2015-04-25T03:42:53+00:00","article_modified_time":"2024-04-03T07:46:33+00:00","og_image":[{"width":232,"height":194,"url":"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png","type":"image\/png"}],"author":"Heeral Nagpal","twitter_misc":{"Written by":"Heeral Nagpal","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/","url":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/","name":"Classical Linear Regression Model - Vskills Blog","isPartOf":{"@id":"https:\/\/www.vskills.in\/certification\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage"},"image":{"@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage"},"thumbnailUrl":"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png","datePublished":"2015-04-25T03:42:53+00:00","dateModified":"2024-04-03T07:46:33+00:00","author":{"@id":"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/6f833ca7bced601a91c4212ca58b511f"},"description":"Classical Linear Regression Model; assumptions Apply for a Vskills certification in Economics now. Hurry up!","breadcrumb":{"@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#primaryimage","url":"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png","contentUrl":"https:\/\/www.vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/04\/Classical-Linear-Regression-Model.png","width":232,"height":194},{"@type":"BreadcrumbList","@id":"https:\/\/www.vskills.in\/certification\/blog\/classical-linear-regression-model\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.vskills.in\/certification\/blog\/"},{"@type":"ListItem","position":2,"name":"Classical Linear Regression Model"}]},{"@type":"WebSite","@id":"https:\/\/www.vskills.in\/certification\/blog\/#website","url":"https:\/\/www.vskills.in\/certification\/blog\/","name":"Vskills Blog","description":"Vskills - A Initiative in Assessment to Enhance Employability","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.vskills.in\/certification\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/6f833ca7bced601a91c4212ca58b511f","name":"Heeral Nagpal","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.vskills.in\/certification\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/6eaddc2f72bb4f8ae7b43107e5fbceabf3082d3e27cf9d21e179f309a50ae7d0?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/6eaddc2f72bb4f8ae7b43107e5fbceabf3082d3e27cf9d21e179f309a50ae7d0?s=96&d=mm&r=g","caption":"Heeral Nagpal"},"url":"https:\/\/www.vskills.in\/certification\/blog\/author\/heeral-nagpal\/"}]}},"_links":{"self":[{"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/posts\/29510","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/users\/505"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/comments?post=29510"}],"version-history":[{"count":7,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/posts\/29510\/revisions"}],"predecessor-version":[{"id":71943,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/posts\/29510\/revisions\/71943"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/media\/29543"}],"wp:attachment":[{"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/media?parent=29510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/categories?post=29510"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vskills.in\/certification\/blog\/wp-json\/wp\/v2\/tags?post=29510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}