{"id":154806,"date":"2022-03-25T23:56:38","date_gmt":"2022-03-25T18:26:38","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/coefficient-of-determination-introduction-formula-syntax-and-solved-examples\/"},"modified":"2024-01-16T12:12:23","modified_gmt":"2024-01-16T06:42:23","slug":"coefficient-of-determination-introduction-formula-syntax-and-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/coefficient-of-determination\/","title":{"rendered":"Coefficient of Determination &#8211; Introduction, Formula and Solved Examples"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coefficient-of-determination\/#Lets_Unwind_Coefficient_of_Determination\" title=\"Let\u2019s Unwind Coefficient of Determination\">Let\u2019s Unwind Coefficient of Determination<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coefficient-of-determination\/#Coefficient_of_Determination_Formula\" title=\"Coefficient of Determination Formula\">Coefficient of Determination Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coefficient-of-determination\/#Properties_of_Coefficient_of_Determination\" title=\"Properties of Coefficient of Determination\">Properties of Coefficient of Determination<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coefficient-of-determination\/#Steps_to_Find_the_Coefficient_of_Determination\" title=\"Steps to Find the Coefficient of Determination\">Steps to Find the Coefficient of Determination<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Lets_Unwind_Coefficient_of_Determination\"><\/span>Let\u2019s Unwind Coefficient of Determination<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Coefficient of Determination &#8211; Introduction: A coefficient of determination, or R-squared, is a statistic that measures the percentage of variability in a dependent variable that is explained by variability in an independent variable. In other words, it tells you how much of the variation in one variable is due to the variation in another variable.<\/p>\n<p>The coefficient of determination is always between 0 and 1. A value of 0 indicates that there is no relationship between the two variables, while a value of 1 indicates that all of the variability in the dependent variable is due to the variability in the independent variable.<\/p>\n<p>The coefficient of determination can used to determine how well a linear regression model fits the data. A good model will have an R-squared value of close to 1.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154805 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/coefficient-of-determination-introduction-formula-syntax-and-solved-examples.jpg\" alt=\"Coefficient of Determination - Introduction, Formula, Syntax and Solved Examples\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/coefficient-of-determination-introduction-formula-syntax-and-solved-examples.jpg?v=1648232795 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/coefficient-of-determination-introduction-formula-syntax-and-solved-examples-300x212.jpg?v=1648232795 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Coefficient_of_Determination_Formula\"><\/span>Coefficient of Determination Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The coefficient of determination is a statistic that is used to measure the amount of variance in a dependent variable that is explained by an independent variable. It calculated by taking square of the correlation coefficient. Also dividing it by the variance of the dependent variable.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Coefficient_of_Determination\"><\/span>Properties of Coefficient of Determination<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The coefficient of determination is statistic that used to measure the amount of variation in dependent variable that explained by variation in an independent variable. Coefficient of determination also known as the coefficient of determination R-squared. Coefficient of determination ranges from 0 to 1. However it is equal to percentage of the variation in dependent variable that explained by variation in independent variable.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Find_the_Coefficient_of_Determination\"><\/span>Steps to Find the Coefficient of Determination<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Calculate the correlation coefficient.<\/p>\n<p>2. Square the correlation coefficient.<\/p>\n<p>3. Divide the result by the square of the standard error of the estimate.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let\u2019s Unwind Coefficient of Determination Coefficient of Determination &#8211; Introduction: A coefficient of determination, or R-squared, is a statistic that [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Coefficient of Determination - Introduction","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about Coefficient of Determination topic of Maths in details explained by subject experts on infinitylearn.com. 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