{"id":43054,"date":"2024-04-15T21:24:00","date_gmt":"2024-04-15T21:24:00","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=43054"},"modified":"2024-04-15T21:24:00","modified_gmt":"2024-04-15T21:24:00","slug":"suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/","title":{"rendered":"Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;relation between the x1 and y is weak&#8221; option2=&#8221;relation between the x1 and y is strong&#8221; option3=&#8221;relation between the x1 and y is neutral&#8221; option4=&#8221;correlation can&#8217;t judge the relationship&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is: B. relation between the x1 and y is strong.<\/p>\n<p>A correlation coefficient of -0.95 is a very strong negative correlation. This means that as X1 increases, Y decreases. The closer the correlation coefficient is to -1, the stronger the negative correlation.<\/p>\n<p>A correlation coefficient of 0 indicates no correlation. This means that there is no linear relationship between X1 and Y.<\/p>\n<p>A correlation coefficient of 1 indicates a perfect positive correlation. This means that as X1 increases, Y also increases.<\/p>\n<p>A correlation coefficient of -1 indicates a perfect negative correlation. This means that as X1 increases, Y decreases.<\/p>\n<p>Please let me know if you have any other questions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;relation between the x1 and y is weak&#8221; option2=&#8221;relation between the x1 and y is strong&#8221; option3=&#8221;relation between the x1 and y is neutral&#8221; option4=&#8221;correlation can&#8217;t judge the relationship&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729],"tags":[],"class_list":["post-43054","post","type-post","status-publish","format-standard","hentry","category-machine-learning","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>Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?<\/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\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;relation between the x1 and y is weak&#8221; option2=&#8221;relation between the x1 and y is strong&#8221; option3=&#8221;relation between the x1 and y is neutral&#8221; option4=&#8221;correlation can&#8217;t judge the relationship&#8221; correct=&#8221;option2&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T21:24:00+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":"Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?","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\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/","og_locale":"en_US","og_type":"article","og_title":"Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?","og_description":"[amp_mcq option1=&#8221;relation between the x1 and y is weak&#8221; option2=&#8221;relation between the x1 and y is strong&#8221; option3=&#8221;relation between the x1 and y is neutral&#8221; option4=&#8221;correlation can&#8217;t judge the relationship&#8221; correct=&#8221;option2&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:24:00+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\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/","url":"https:\/\/exam.pscnotes.com\/mcq\/suppose-that-we-have-n-independent-variables-x1-x2-xn-and-dependent-variable-is-y-now-imagine-that-you-are-applying-linear-regression-by-fitting-the-best-fit-line-using-least-square-error-on-this\/","name":"Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. 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