{"id":47632,"date":"2022-04-01T13:01:16","date_gmt":"2022-04-01T13:01:16","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/in-regression-analysis-the-residuals-represent-the\/"},"modified":"2022-04-01T13:01:16","modified_gmt":"2022-04-01T13:01:16","slug":"in-regression-analysis-the-residuals-represent-the","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/in-regression-analysis-the-residuals-represent-the\/","title":{"rendered":"In regression analysis, the residuals represent the"},"content":{"rendered":"<div>\n<p><span>1. In regression analysis, the residuals represent the:<span>\u00a0<\/span><\/span><span><br \/><span>A. difference between the actual y values and their predicted values<span>\u00a0<\/span><\/span><br \/><span>B. difference between the actual x values and their predicted values<span>\u00a0<\/span><\/span><br \/><span>C. square root of the coefficient of determination<span>\u00a0<\/span><\/span><br \/><span>D. change in y per unit change in x<\/span><\/span><\/p>\n<p><span>2.In the simple linear regression model, the slope represents the:<span>\u00a0<\/span><\/span><br \/><span>A. value of x when y = 0<span>\u00a0<\/span><\/span><br \/><span>B. change in y per unit change in x<span>\u00a0<\/span><\/span><br \/><span>C. change in x per unit change in y<span>\u00a0<\/span><\/span><br \/><span>D. value of y when x = 0<\/span><\/p>\n<p><span>3.The coefficient of determination R2 measures the amount of:<span>\u00a0<\/span><\/span><br \/><span>A. variation in y that is unexplained by variation in x<span>\u00a0<\/span><\/span><br \/><span>B. variation in x that is unexplained by variation in y<span>\u00a0<\/span><\/span><br \/><span>C. variation in y that is explained by variation in x<span>\u00a0<\/span><\/span><br \/><span>D. variation in x that is explained by variation in y<\/span><\/p>\n<p><span>4.If we are interested in determining whether two variables are linearly related, it is necessary to:<span>\u00a0<\/span><\/span><br \/><span>A. perform the t-test of the coefficient of correlation \u03c1<span>\u00a0<\/span><\/span><br \/><span>B. perform the t-test of the slope \u03b21<span>\u00a0<\/span><\/span><br \/><span>C. either A or B since they are identical<span>\u00a0<\/span><\/span><br \/><span>D. calculate the regression standard error s<\/span><\/p>\n<p><span>5.Which of the following statistics and procedures can be used to determine whether a linear model should be employed?<span>\u00a0<\/span><\/span><br \/><span>A. The standard error of estimate<span>\u00a0<\/span><\/span><br \/><span>B. The t-test of the slope<span>\u00a0<\/span><\/span><br \/><span>C.The coefficient of determination<span>\u00a0<\/span><\/span><br \/><span>D. All of the above answers are correct<\/span><\/p>\n<p><span>6.The regression standard error s is given by:<span>\u00a0<\/span><\/span><br \/><span>A. SSE\/(n\u22122)<span>\u00a0<\/span><\/span><br \/><span>B. \u221aSSE\/(n\u22122)<span>\u00a0<\/span><\/span><br \/><span>C. (\u221aSSE\/(n\u22122)) (whole thing is under \u221a)<\/span><br \/><span>D. SSE\/\u221an\u22122<\/span><\/p>\n<p><span>7.The symbol for the sample coefficient of correlation is:<span>\u00a0<\/span><\/span><\/p>\n<p><span>B. \u03c1<span>\u00a0<\/span><\/span><br \/><span>C. \u03c12<span>\u00a0<\/span><\/span><br \/><span>D. r2<\/span><\/p>\n<p><span>8. Given the least squares regression line y\u02c6=\u22122.48+1.63x, and a coefficient of determination of 0.81, the coefficient of correlation is:<span>\u00a0<\/span><\/span><br \/><span>A. -0.85<span>\u00a0<\/span><\/span><br \/><span>B. 0.90<span>\u00a0<\/span><\/span><br \/><span>C. 0.85<span>\u00a0<\/span><\/span><br \/><span>D. -0.90<\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1. In regression analysis, the residuals represent the:\u00a0A. difference between the actual y values and their predicted values\u00a0B. difference between the actual x values and their predicted values\u00a0C. square root of the coefficient of determination\u00a0D. change in y per unit change in x 2.In the simple linear regression model, the slope represents the:\u00a0A. value of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-47632","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47632","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=47632"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47632\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=47632"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=47632"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=47632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}