B The Admission Office Of A University Would Like To Develop A Regression Model Of Student S First Year Gpa Y On Fou 1 (63.11 KiB) Viewed 21 times
B The Admission Office Of A University Would Like To Develop A Regression Model Of Student S First Year Gpa Y On Fou 2 (63.11 KiB) Viewed 21 times
(b) The admission office of a university would like to develop a regression model of student's first year GPA (y) on four admission test scores denoted by 21, 12, 13 and 14, respectively. Twenty-five first year students are selected at random and a multiple regression equation is fitted with the following results: ANOVA Table Source SS df MS F Regression 5.6722 b d f Residual Total 7.6453 24 a с e 12 13 Coefficients Standard Error Intercept -0.760594 0.641177 21 0.001976 0.013542 0.021241 0.009344 0.017504 0.008856 14 0.017965 0.008972 i. Find the fitted multiple regression line from the above results. [1 mark) ii. Calculate the missing values a to f in the ANOVA table. [3 marks iii. Calculate the adjusted coefficient of determination. [2 marks] iv. Test the overall significance of the regression model at the 5% level of sig- nificance. [3 marks v. The regression line will be further revised so as to exclude those independent variables which are not significant. Determine those independent variables, if there any, to be excluded at the 5% level of significance. [4 marks
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