{"id":33775,"date":"2024-04-15T09:21:30","date_gmt":"2024-04-15T09:21:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33775"},"modified":"2024-04-15T09:21:30","modified_gmt":"2024-04-15T09:21:30","slug":"karl-pearsons-coefficient-of-correlation-between-two-variables-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/karl-pearsons-coefficient-of-correlation-between-two-variables-is\/","title":{"rendered":"Karl Pearson&#8217;s coefficient of correlation between two variables is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;The product of their standard deviations&#8221; option2=&#8221;The square root of the product of their regression coefficients&#8221; option3=&#8221;The covariance between the variables&#8221; option4=&#8221;None of the above&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is C. The covariance between the variables.<\/p>\n<p>Karl Pearson&#8217;s coefficient of correlation is a measure of the linear correlation between two variables. It is denoted by $\\rho$ and ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.<\/p>\n<p>The covariance between two variables is a measure of how much they vary together. It is calculated by taking the average of the product of the deviations of the two variables from their means.<\/p>\n<p>The square root of the product of the regression coefficients is the standard deviation of the residuals. The residuals are the differences between the observed values of the dependent variable and the predicted values of the dependent variable.<\/p>\n<p>The product of the standard deviations is not a measure of correlation. It is simply the product of the two standard deviations.<\/p>\n<p>Therefore, the correct answer is C. The covariance between the variables.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;The product of their standard deviations&#8221; option2=&#8221;The square root of the product of their regression coefficients&#8221; option3=&#8221;The covariance between the variables&#8221; option4=&#8221;None of the above&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[701],"tags":[],"class_list":["post-33775","post","type-post","status-publish","format-standard","hentry","category-business-statistics-and-research-methods","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>Karl Pearson&#039;s coefficient of correlation between two variables is<\/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\/karl-pearsons-coefficient-of-correlation-between-two-variables-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Karl Pearson&#039;s coefficient of correlation between two variables is\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;The product of their standard deviations&#8221; 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