{"id":23866,"date":"2022-01-10T09:07:46","date_gmt":"2022-01-10T09:07:46","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/a-multiple-regression-analysis-between-yearly-income-y-in-1000s\/"},"modified":"2022-01-10T09:07:46","modified_gmt":"2022-01-10T09:07:46","slug":"a-multiple-regression-analysis-between-yearly-income-y-in-1000s","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/a-multiple-regression-analysis-between-yearly-income-y-in-1000s\/","title":{"rendered":"A multiple regression analysis between yearly income (y in $1,000s),"},"content":{"rendered":"
\n

A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained. <\/span><\/p>\n\n\n\n\n\n\n\n
\n

Predictor <\/span><\/strong><\/p>\n<\/td>\n

\n

Coefficient <\/span><\/strong><\/p>\n<\/td>\n

\n

Std Error <\/span><\/strong><\/p>\n<\/td>\n<\/tr>\n

\n

Constant <\/span><\/p>\n<\/td>\n

\n

4.0928<\/span><\/p>\n<\/td>\n

\n

1.44<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

X1 <\/span><\/p>\n<\/td>\n

\n

10.023<\/span><\/p>\n<\/td>\n

\n

1.6512<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

X2 <\/span><\/p>\n<\/td>\n

\n

0.102<\/span><\/p>\n<\/td>\n

\n

0.1225<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

X3 <\/span><\/p>\n<\/td>\n

\n

-4.4811<\/span><\/p>\n<\/td>\n

\n

1.44<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n\n\n\n\n\n\n\n
\n

Analysis of Variance<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Source of Variation<\/span><\/p>\n<\/td>\n

\n

Degrees of Freedom<\/span><\/p>\n<\/td>\n

\n

Sum of\u00a0 <\/span>Squares<\/span><\/p>\n<\/td>\n

\n

Mean Square<\/span><\/p>\n<\/td>\n

\n

F<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Regression<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\n

360.59<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Error<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\n

23.91<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n<\/tr>\n
\n

Total<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\n

–<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

a. Write the regression equation for the above information. <\/span><\/p>\n

b. Interpret the meaning of the coefficients of X1, X2 and X3. <\/span><\/p>\n

c. Compute the coefficient of determination and interpret its meaning. <\/span><\/p>\n

d. Is the variable X1 statistically significant? Use \u03b1 = 0.05. <\/span><\/p>\n

e. Is the variable X2 statistically significant? Use \u03b1 = 0.05. <\/span><\/p>\n

f. Is the variable X3 statistically significant? Use \u03b1 = 0.05. <\/span><\/p>\n

g. Perform an F test to determine whether or not the overall model is statistically significant.<\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained. Predictor Coefficient Std Error Constant 4.0928 1.44 […]<\/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-23866","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23866","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=23866"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23866\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=23866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=23866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=23866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}