{"id":258559,"date":"2025-07-18T07:56:37","date_gmt":"2025-07-18T07:56:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=258559"},"modified":"2025-07-18T07:56:39","modified_gmt":"2025-07-18T07:56:39","slug":"which-of-the-following-is-are-not-the-possible-values-of-pearsons-correlations","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/which-of-the-following-is-are-not-the-possible-values-of-pearsons-correlations\/","title":{"rendered":"Which of the following is (are) not the possible value(s) of Pearson&#8217;s correlations"},"content":{"rendered":"\n<p>Which of the following is (are) not the possible value(s) of Pearson&#8217;s correlations? <\/p>\n\n\n\n<p>Choose all that apply <\/p>\n\n\n\n<p>a) 1.6 <\/p>\n\n\n\n<p>b) 1.0 <\/p>\n\n\n\n<p>c) -0.99 <\/p>\n\n\n\n<p>d) 0.0 <\/p>\n\n\n\n<p>e) -1.0<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>a) 1.6<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Pearson\u2019s correlation coefficient, often denoted as <em>r<\/em>, is a measure of the linear relationship between two variables. The value of <em>r<\/em> can range between -1.0 and +1.0. This scale indicates how strongly two variables are related to each other and the direction of their relationship. Here&#8217;s a breakdown of the possible values:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>1.0<\/strong>: This indicates a perfect positive linear relationship. As one variable increases, the other increases in exact proportion.<\/li>\n\n\n\n<li><strong>-1.0<\/strong>: This indicates a perfect negative linear relationship. As one variable increases, the other decreases in exact proportion.<\/li>\n\n\n\n<li><strong>0.0<\/strong>: This indicates no linear relationship between the two variables. Changes in one variable do not predict any change in the other.<\/li>\n\n\n\n<li><strong>-0.99<\/strong>: This represents a very strong negative linear relationship, where most of the data points lie on a straight line but with a slight negative slope.<\/li>\n\n\n\n<li><strong>1.6<\/strong>: This is not a valid value for Pearson\u2019s correlation. Pearson\u2019s <em>r<\/em> cannot exceed the range of -1.0 to +1.0. Any value outside this range indicates an error in the calculation or interpretation.<\/li>\n<\/ol>\n\n\n\n<p>In conclusion, while the other values (1.0, -0.99, 0.0, and -1.0) are all within the valid range for Pearson\u2019s correlation, <strong>1.6<\/strong> is not a possible value. A value of 1.6 suggests a miscalculation, as Pearson\u2019s correlation is bounded within the [-1.0, 1.0] range.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is (are) not the possible value(s) of Pearson&#8217;s correlations? Choose all that apply a) 1.6 b) 1.0 c) -0.99 d) 0.0 e) -1.0 The correct answer and explanation is: The correct answer is a) 1.6. Explanation: Pearson\u2019s correlation coefficient, often denoted as r, is a measure of the linear relationship between [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-258559","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=258559"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258559\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=258559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=258559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=258559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}