{"id":8204,"date":"2018-06-21T18:33:46","date_gmt":"2018-06-21T18:33:46","guid":{"rendered":"https:\/\/assignment.essayshark.com\/blog\/?p=8204"},"modified":"2022-01-05T09:44:43","modified_gmt":"2022-01-05T09:44:43","slug":"linear-regression-example","status":"publish","type":"post","link":"https:\/\/assignmentshark.com\/blog\/linear-regression-example\/","title":{"rendered":"Linear Regression Example"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><b>Task:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Based on the findings of two random variables, find the linear regression of X on Y and the selective correlation coefficient.<\/span><\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8216 size-large\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1-1024x191.png\" alt=\"\" width=\"604\" height=\"113\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1-1024x191.png 1024w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1-300x56.png 300w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1-768x143.png 768w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear1.png 1138w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p><!--more--><\/p>\n<p><b>Solution:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Let&#8217;s build a correlation field:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We can assume a linear relationship between these values.<\/span><\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8214 size-large\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2-1024x618.jpg\" alt=\"\" width=\"604\" height=\"365\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2-1024x618.jpg 1024w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2-300x181.jpg 300w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2-768x464.jpg 768w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear2.jpg 1515w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s construct a table of calculated data for the evaluation of the linear regression:<\/span><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8212 size-large\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3-1024x718.png\" alt=\"\" width=\"604\" height=\"424\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3-1024x718.png 1024w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3-300x210.png 300w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3-768x538.png 768w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear3.png 1137w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Let&#8217;s find the parameters of the linear regression:<\/span><\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear4.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8210 \" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear4.png\" alt=\"\" width=\"377\" height=\"171\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear4.png 575w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear4-300x136.png 300w\" sizes=\"auto, (max-width: 377px) 100vw, 377px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Thus, the regression equation is:<\/span><\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8208 \" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear5.png\" alt=\"\" width=\"207\" height=\"59\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear5.png 316w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear5-300x85.png 300w\" sizes=\"auto, (max-width: 207px) 100vw, 207px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">We can make a conclusion that by increasing x value on 1, y will increase on 1,25.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s find selective correlation coefficient:<\/span><\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear6.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8206 \" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear6.png\" alt=\"\" width=\"340\" height=\"83\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear6.png 467w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2018\/03\/linear6-300x73.png 300w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">The correlation coefficient is close to 1, so the relationship between the factors is strong.<\/span><\/p>\n<h2 style=\"text-align: left;\"><span style=\"font-weight: 400;\">Where to Find Expert Help With Statistics Assignments?<\/span><\/h2>\n<blockquote><p><i><span style=\"font-weight: 400;\">Learning statistics may become a real challenge for students, especially for those who are 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There is no doubt: AssignmentShark will make your academic life a whole lot easier.<\/span><\/i><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Task: Based on the findings of two random variables, find the linear regression of X on Y and the selective correlation coefficient.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[35,61],"tags":[],"class_list":["post-8204","post","type-post","status-publish","format-standard","hentry","category-samples","category-statistics"],"_links":{"self":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/8204","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/comments?post=8204"}],"version-history":[{"count":10,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/8204\/revisions"}],"predecessor-version":[{"id":12837,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/8204\/revisions\/12837"}],"wp:attachment":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/media?parent=8204"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/categories?post=8204"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/tags?post=8204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}