{"id":195677,"date":"2025-02-28T15:14:45","date_gmt":"2025-02-28T15:14:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=195677"},"modified":"2025-02-28T15:14:47","modified_gmt":"2025-02-28T15:14:47","slug":"which-of-these-r-values-represents-the-weakest-correlation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/28\/which-of-these-r-values-represents-the-weakest-correlation\/","title":{"rendered":"Which of these r-values represents the weakest correlation"},"content":{"rendered":"\n

Which of these r-values represents the weakest correlation?<\/p>\n\n\n\n

A. 0.2 <\/p>\n\n\n\n

B. 0.5 <\/p>\n\n\n\n

c.0.4 <\/p>\n\n\n\n

D. 0.3<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is A. 0.2<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In statistics, the correlation coefficient<\/strong> (denoted as r<\/strong>) measures the strength and direction of the linear relationship between two variables. The value of r<\/strong> ranges from -1<\/strong> to +1<\/strong>, where:<\/p>\n\n\n\n

    \n
  • +1<\/strong> indicates a perfect positive correlation (as one variable increases, the other also increases in a perfectly linear manner),<\/li>\n\n\n\n
  • -1<\/strong> indicates a perfect negative correlation (as one variable increases, the other decreases in a perfectly linear manner),<\/li>\n\n\n\n
  • 0<\/strong> indicates no linear correlation (no predictable relationship between the two variables).<\/li>\n<\/ul>\n\n\n\n

    The strength of the correlation can be interpreted as follows:<\/p>\n\n\n\n

      \n
    • 0 to 0.1 or -0.1 to 0<\/strong>: Very weak or negligible correlation.<\/li>\n\n\n\n
    • 0.1 to 0.3 or -0.3 to -0.1<\/strong>: Weak correlation.<\/li>\n\n\n\n
    • 0.3 to 0.5 or -0.5 to -0.3<\/strong>: Moderate correlation.<\/li>\n\n\n\n
    • 0.5 to 0.7 or -0.7 to -0.5<\/strong>: Strong correlation.<\/li>\n\n\n\n
    • 0.7 to 1.0 or -1.0 to -0.7<\/strong>: Very strong correlation.<\/li>\n<\/ul>\n\n\n\n

      Now, let’s analyze the given options:<\/p>\n\n\n\n

        \n
      • Option A (0.2)<\/strong>: This represents a weak correlation<\/strong>. The value is relatively close to 0, suggesting a low degree of association between the variables. The closer the value is to 0, the weaker the correlation.<\/li>\n\n\n\n
      • Option B (0.5)<\/strong>: This represents a moderate correlation<\/strong>. A value of 0.5 indicates a moderate strength of linear association between the two variables.<\/li>\n\n\n\n
      • Option C (0.4)<\/strong>: This also represents a moderate correlation<\/strong>, though slightly weaker than 0.5, it still indicates a noticeable relationship between the variables.<\/li>\n\n\n\n
      • Option D (0.3)<\/strong>: This represents a weak correlation<\/strong>, but it is stronger than 0.2, which means it indicates a slightly more significant relationship than the one in option A.<\/li>\n<\/ul>\n\n\n\n

        Thus, Option A (0.2)<\/strong> has the weakest correlation because it is the lowest value and indicates the least linear association between the variables. The closer the absolute value of r<\/strong> is to 0, the weaker the correlation.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Which of these r-values represents the weakest correlation? A. 0.2 B. 0.5 c.0.4 D. 0.3 The Correct Answer and Explanation is : The correct answer is A. 0.2. Explanation: In statistics, the correlation coefficient (denoted as r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from […]<\/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-195677","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195677","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=195677"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195677\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=195677"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=195677"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=195677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}