{"id":156482,"date":"2022-03-26T01:48:22","date_gmt":"2022-03-25T20:18:22","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/correlation\/"},"modified":"2023-05-19T16:15:19","modified_gmt":"2023-05-19T10:45:19","slug":"correlation","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/correlation\/","title":{"rendered":"Correlation"},"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\/correlation\/#Definition_of_Correlation\" title=\"Definition of Correlation\">Definition of Correlation<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/correlation\/#Correlation_in_Statistics\" title=\"Correlation in Statistics\">Correlation in Statistics<\/a><\/li><\/ul><\/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\/correlation\/#Linear_Correlation_Coefficient_Formula\" title=\"Linear Correlation Coefficient Formula\">Linear Correlation Coefficient Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_Correlation\"><\/span>Definition of Correlation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Correlation- Definition:<\/p>\n<ul>\n<li>A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/correlation\/\">correlation<\/a> is a statistical measure of how closely two variables are related. It is a number that ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation.<\/li>\n<li>To calculate a correlation, you first need to calculate the correlation coefficient, which is a mathematical calculation that takes into account the direction and strength of the correlation. The correlation coefficient can be positive or negative, but the sign (positive or negative) doesn&#8217;t indicate whether the correlation is good or bad. It just indicates the direction.<\/li>\n<li>Once you have the correlation coefficient, you can interpret it by looking at the magnitude (the size of the number) and the sign (positive or negative). If the magnitude is high and the sign is positive, that means the correlation is strong and positive. If the magnitude is high and the sign is negative, that means the correlation is strong and negative. If the magnitude is low, that means the correlation is weak.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156481 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/correlation.jpg\" alt=\"Correlation\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/correlation.jpg?v=1648239499 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/correlation-300x212.jpg?v=1648239499 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Correlation_in_Statistics\"><\/span>Correlation in Statistics<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>In statistics, <a href=\"https:\/\/en.wikipedia.org\/wiki\/Correlation\">correlation<\/a> is the degree to which two factors are related. It is measured by a statistic called the correlation coefficient, which ranges from -1 to +1. A correlation of +1 means that the two factors are perfectly related; a correlation of -1 means that the two factors are perfectly inversely related. A correlation of 0 means that there is no relationship between the two factors.<\/li>\n<li>The correlation coefficient is a measure of the strength of the relationship between two factors. It is calculated by taking the covariance of the two factors and dividing it by the product of the standard deviations of the two factors. The covariance is the average of the product of the two factors&#8217; deviations from their mean, and the standard deviation is the square root of the variance.<\/li>\n<li>The correlation coefficient is usually denoted by the symbol r.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Linear_Correlation_Coefficient_Formula\"><\/span>Linear Correlation Coefficient Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The linear correlation coefficient formula is used to calculate the correlation coefficient between two variables. The linear correlation coefficient is a measure of the linear relationship between two variables. The linear correlation coefficient ranges from -1 to 1, with a value of 0 indicating no linear relationship between the two variables.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition of Correlation Correlation- Definition: A correlation is a statistical measure of how closely two variables are related. It is [&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":"Correlation: Definition","_yoast_wpseo_title":"Correlation - Coefficient Correlation, Formula, and Types","_yoast_wpseo_metadesc":"Correlation is a statistical measure of the relationship between variables, ranging from -1 to 1. Coefficient Correlation, Formula, and Types","custom_permalink":"maths\/correlation\/"},"categories":[13],"tags":[8166,8165,8168,8167,8169,8051],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Correlation - Coefficient Correlation, Formula, and Types<\/title>\n<meta name=\"description\" content=\"Correlation is a statistical measure of the relationship between variables, ranging from -1 to 1. 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