{"id":211319,"date":"2025-05-03T16:42:49","date_gmt":"2025-05-03T16:42:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=211319"},"modified":"2025-05-03T16:42:51","modified_gmt":"2025-05-03T16:42:51","slug":"we-can-use-the-length-of-a-mans-hand-span-to-predict-his-height","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/03\/we-can-use-the-length-of-a-mans-hand-span-to-predict-his-height\/","title":{"rendered":"We can use the length of a man\u2019s hand span to predict his height"},"content":{"rendered":"\n<p>We can use the length of a man\u2019s hand span to predict his height, with a correlation coefficient of r = 0.60. If we change our measurements from cm to m, the new correlation will be <\/p>\n\n\n\n<p>A) 0.006<\/p>\n\n\n\n<p> B) 0.06 <\/p>\n\n\n\n<p>C) 0.60 <\/p>\n\n\n\n<p>D) 6 <\/p>\n\n\n\n<p>E) none of these<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>C) 0.60<\/strong>.<\/p>\n\n\n\n<p>Here\u2019s an explanation of why:<\/p>\n\n\n\n<p>The correlation coefficient (denoted as <strong>r<\/strong>) measures the strength and direction of a linear relationship between two variables. It ranges from -1 to +1, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>r = 1<\/strong> means a perfect positive linear relationship,<\/li>\n\n\n\n<li><strong>r = -1<\/strong> means a perfect negative linear relationship, and<\/li>\n\n\n\n<li><strong>r = 0<\/strong> means no linear relationship.<\/li>\n<\/ul>\n\n\n\n<p>The key point here is that <strong>correlation is not affected by changes in the scale or units of measurement.<\/strong> Whether you measure in centimeters (cm) or meters (m), the relationship between the variables remains the same. Changing the unit of measurement only affects the magnitude of the values, not the relationship itself. In other words, changing from cm to m is just a transformation of the data, but it does not influence the strength or direction of the linear association between the hand span and the height.<\/p>\n\n\n\n<p>Let\u2019s consider an example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Suppose the man\u2019s hand span is measured as <strong>20 cm<\/strong> and his height as <strong>170 cm<\/strong>. If we convert both measurements to meters, we would have a hand span of <strong>0.20 m<\/strong> and a height of <strong>1.70 m<\/strong>. The relationship between these two measurements will remain the same, even though the scale is different. The correlation coefficient reflects how well one variable predicts another, and it doesn\u2019t depend on the units used.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the correlation coefficient remains <strong>r = 0.60<\/strong> regardless of whether you&#8217;re measuring in centimeters or meters.<\/p>\n\n\n\n<p>In summary, since correlation is dimensionless, it stays the same when you change the units of measurement from cm to m. Therefore, the correct answer is <strong>C) 0.60<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We can use the length of a man\u2019s hand span to predict his height, with a correlation coefficient of r = 0.60. If we change our measurements from cm to m, the new correlation will be A) 0.006 B) 0.06 C) 0.60 D) 6 E) none of these The correct answer and explanation is : [&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-211319","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211319","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=211319"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211319\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}