3. A multiple regression equation was fit for n = 15 observations using 5 independent variables X1, X2,, X5 gave SST = 1477.83 and SSR = 1123.15.

Calculate the value of the coefficient of determination and interpret your result.

Give the null and alternative hypotheses for testing the global utility of the model.

Conduct the test , in part b(Test the hypothesis that all the slopes are zero)

=0.01 and give the appropriate conclusion.