{"id":33794,"date":"2024-04-15T09:21:47","date_gmt":"2024-04-15T09:21:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33794"},"modified":"2024-04-15T09:21:47","modified_gmt":"2024-04-15T09:21:47","slug":"which-one-of-the-following-formulas-is-used-to-calculate-probable-error-of-correlation-coefficient-between-two-variables-of-n-pairs-of-observations","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-formulas-is-used-to-calculate-probable-error-of-correlation-coefficient-between-two-variables-of-n-pairs-of-observations\/","title":{"rendered":"Which one of the following formulas is used to calculate probable error of correlation coefficient between two variables of $$&#8217;n&#8217;$$ pairs of observations?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$0.6745\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$$&#8221; option2=&#8221;$$0.5758\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$$&#8221; option3=&#8221;$$0.675\\left[ {\\frac{{1 &#8211; {r^2}}}{n}} \\right]$$&#8221; option4=&#8221;$$0.5758\\left[ {\\frac{{1 &#8211; {r^2}}}{n}} \\right]$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>A. $0.6745\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$<\/strong><\/p>\n<p>The probable error of correlation coefficient is a measure of how much the correlation coefficient is likely to vary from sample to sample. It is calculated using the following formula:<\/p>\n<p>$$\\text{Probable error of correlation coefficient} = 0.6745\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$$<\/p>\n<p>where $r$ is the correlation coefficient and $n$ is the number of pairs of observations.<\/p>\n<p>Option A is the only option that includes the correct formula for the probable error of correlation coefficient. Option B is incorrect because it uses the wrong value for the constant $0.6745$. Option C is incorrect because it divides by $n$ instead of $\\sqrt{n}$. Option D is incorrect because it uses the wrong value for the constant $0.5758$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$0.6745\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$$&#8221; option2=&#8221;$$0.5758\\left[ {\\frac{{1 &#8211; {r^2}}}{{\\sqrt n }}} \\right]$$&#8221; option3=&#8221;$$0.675\\left[ {\\frac{{1 &#8211; {r^2}}}{n}} \\right]$$&#8221; option4=&#8221;$$0.5758\\left[ {\\frac{{1 &#8211; {r^2}}}{n}} \\right]$$&#8221; 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-33794","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) - 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