{"id":44395,"date":"2024-04-15T21:43:08","date_gmt":"2024-04-15T21:43:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=44395"},"modified":"2024-04-15T21:43:08","modified_gmt":"2024-04-15T21:43:08","slug":"formula-of-1-unexplained-variation-total-variation-is-used-to-calculate","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/","title":{"rendered":"Formula of 1 &#8211; unexplained variation \/ total variation is used to calculate"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;coefficient of determination&#8221; option2=&#8221;coefficient of index&#8221; option3=&#8221;coefficient of residual&#8221; option4=&#8221;coefficient of prediction&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is A. coefficient of determination.<\/p>\n<p>The coefficient of determination is a statistical measure that is used to determine the strength of the linear relationship between two variables. It is calculated by taking the square of the correlation coefficient. The coefficient of determination can be interpreted as the proportion of the variation in the dependent variable that is explained by the variation in the independent variable.<\/p>\n<p>The formula for the coefficient of determination is:<\/p>\n<p>$R^2 = 1 &#8211; \\frac{\\text{unexplained variation}}{\\text{total variation}}$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$R^2$ is the coefficient of determination<\/li>\n<li>$\\text{unexplained variation}$ is the variation in the dependent variable that is not explained by the variation in the independent variable<\/li>\n<li>$\\text{total variation}$ is the total variation in the dependent variable<\/li>\n<\/ul>\n<p>The coefficient of determination can range from 0 to 1. A coefficient of determination of 0 indicates that there is no linear relationship between the two variables. A coefficient of determination of 1 indicates that there is a perfect linear relationship between the two variables.<\/p>\n<p>The coefficient of determination is a useful tool for determining the strength of the linear relationship between two variables. It can be used to make predictions about the value of the dependent variable based on the value of the independent variable.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;coefficient of determination&#8221; option2=&#8221;coefficient of index&#8221; option3=&#8221;coefficient of residual&#8221; option4=&#8221;coefficient of prediction&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[952],"tags":[],"class_list":["post-44395","post","type-post","status-publish","format-standard","hentry","category-costing","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Formula of 1 - unexplained variation \/ total variation is used to calculate<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Formula of 1 - unexplained variation \/ total variation is used to calculate\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;coefficient of determination&#8221; option2=&#8221;coefficient of index&#8221; option3=&#8221;coefficient of residual&#8221; option4=&#8221;coefficient of prediction&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:43:08+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Formula of 1 - unexplained variation \/ total variation is used to calculate","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:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/","og_locale":"en_US","og_type":"article","og_title":"Formula of 1 - unexplained variation \/ total variation is used to calculate","og_description":"[amp_mcq option1=&#8221;coefficient of determination&#8221; option2=&#8221;coefficient of index&#8221; option3=&#8221;coefficient of residual&#8221; option4=&#8221;coefficient of prediction&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:43:08+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/","url":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/","name":"Formula of 1 - unexplained variation \/ total variation is used to calculate","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T21:43:08+00:00","dateModified":"2024-04-15T21:43:08+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/formula-of-1-unexplained-variation-total-variation-is-used-to-calculate\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"Costing","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/costing\/"},{"@type":"ListItem","position":3,"name":"Formula of 1 &#8211; unexplained variation \/ total variation is used to calculate"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/44395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=44395"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/44395\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=44395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=44395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=44395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}