{"id":33778,"date":"2024-04-15T09:21:32","date_gmt":"2024-04-15T09:21:32","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33778"},"modified":"2024-04-15T09:21:32","modified_gmt":"2024-04-15T09:21:32","slug":"if-unexplained-variation-between-variables-x-and-y-is-36-what-is-the-coefficient-of-correlation-between-the-variables","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-unexplained-variation-between-variables-x-and-y-is-36-what-is-the-coefficient-of-correlation-between-the-variables\/","title":{"rendered":"If unexplained variation between variables X and Y is 36%, what is the coefficient of correlation between the variables?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.36&#8243; option2=&#8221;0.64&#8243; option3=&#8221;0.6&#8243; option4=&#8221;0.8&#8243; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 0.64}}$.<\/p>\n<p>The coefficient of correlation is a measure of the strength of the linear relationship between two variables. It is a number between -1 and 1, inclusive. A coefficient of correlation of 0 indicates that there is no linear relationship between the variables. A coefficient of correlation of 1 indicates that there is a perfect positive linear relationship between the variables. A coefficient of correlation of -1 indicates that there is a perfect negative linear relationship between the variables.<\/p>\n<p>In this case, the unexplained variation between variables X and Y is 36%. This means that 36% of the variation in variable Y cannot be explained by the variation in variable X. This suggests that there is a weak linear relationship between the variables. The coefficient of correlation between the variables is therefore likely to be close to 0.<\/p>\n<p>Option A is incorrect because it is the coefficient of correlation for a perfect positive linear relationship. Option C is incorrect because it is the coefficient of correlation for a weak positive linear relationship. Option D is incorrect because it is the coefficient of correlation for a perfect negative linear relationship.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.36&#8243; option2=&#8221;0.64&#8243; option3=&#8221;0.6&#8243; option4=&#8221;0.8&#8243; 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":[701],"tags":[],"class_list":["post-33778","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>If unexplained variation between variables X and Y is 36%, what is the coefficient of correlation between the variables?<\/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\/if-unexplained-variation-between-variables-x-and-y-is-36-what-is-the-coefficient-of-correlation-between-the-variables\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If unexplained variation between variables X and Y is 36%, what is the coefficient of correlation between the variables?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;0.36&#8243; 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