{"id":22764,"date":"2025-06-16T21:51:43","date_gmt":"2025-06-16T21:51:43","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=22764"},"modified":"2025-06-16T21:51:51","modified_gmt":"2025-06-16T21:51:51","slug":"which-of-the-following-has-a-range-from-1-to-1","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-of-the-following-has-a-range-from-1-to-1\/","title":{"rendered":"Which of the following has a range from -1 to +1"},"content":{"rendered":"\n<p>Which of the following has a range from -1 to +1? Correlation Heritability Regression Standard Deviation<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>Correlation<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p><strong>Correlation<\/strong> is a statistical measure that expresses the extent to which two variables are linearly related. Its values range between <strong>-1 and +1<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A correlation of <strong>+1<\/strong> means a perfect positive linear relationship between the two variables: as one increases, the other increases proportionally.<\/li>\n\n\n\n<li>A correlation of <strong>-1<\/strong> means a perfect negative linear relationship: as one variable increases, the other decreases proportionally.<\/li>\n\n\n\n<li>A correlation of <strong>0<\/strong> means no linear relationship between the variables.<\/li>\n<\/ul>\n\n\n\n<p>Because correlation coefficients are standardized measures, they are always confined within the limits of -1 and +1. This bounded range helps in interpreting the strength and direction of the linear relationship between variables.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why not the others?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Heritability<\/strong>: This measures the proportion of total phenotypic variance in a trait that is attributable to genetic variance within a population. Heritability values range from <strong>0 to 1<\/strong>, not negative. A heritability of 0 means no genetic contribution, and 1 means the trait is fully determined by genetics (in that population and environment).<\/li>\n\n\n\n<li><strong>Regression<\/strong>: Regression refers to modeling the relationship between a dependent variable and one or more independent variables. The regression coefficients (slopes) can take any real number value\u2014there is no fixed range like -1 to +1.<\/li>\n\n\n\n<li><strong>Standard Deviation<\/strong>: This is a measure of variability or spread in data. Since it represents the average distance of data points from the mean, it is always <strong>non-negative<\/strong> (\u2265 0) and can take any positive value, depending on data variability. It never goes negative, and it definitely doesn\u2019t have an upper bound of +1.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Correlation coefficients are constrained between -1 and +1.<\/li>\n\n\n\n<li>Heritability ranges between 0 and 1.<\/li>\n\n\n\n<li>Regression coefficients and standard deviations can take a wide range of values, with no fixed limits like correlation.<\/li>\n<\/ul>\n\n\n\n<p>This bounded range of correlation makes it a very useful standardized metric to understand the strength and direction of linear relationships across different fields including statistics, biology, social sciences, and more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following has a range from -1 to +1? Correlation Heritability Regression Standard Deviation The correct answer and explanation is: The correct answer is Correlation. Explanation: Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Its values range between -1 and +1: Because correlation coefficients are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-22764","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22764","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=22764"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22764\/revisions"}],"predecessor-version":[{"id":22765,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/22764\/revisions\/22765"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=22764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=22764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=22764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}