(b) The admission office of a university would like to develop a regression model of student's first year GPA (y) on fou

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B The Admission Office Of A University Would Like To Develop A Regression Model Of Student S First Year Gpa Y On Fou 1 (71.19 KiB) Viewed 15 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 11, 12, 13 and 34, 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 Standard Error Intercept 0.641177 21 Coefficients -0.760594 0.001976 0.021241 0.017504 0.017965 22 0.013542 0.009344 0.008856 13 24 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