11. Consider the following model with the variables described below. COIGPA = 1.415 + 0.482hsGPA (0.307) (0.0898) ) ( n = 122, R2 = 0.1719, SSE = 16.071 = = colGPA = student's college GPA(4 point scale) hsGPA = student's high school GPA (4 point scale) (a) Interpret the estimated coefficient on hsGP.A. (2 points) (b) Conduct a basic significance test for high school GPA at the 1% level. Be sure to include the null and alternative hypotheses, the test statistic, the critical or p-value, your test conclusion and a sentence explaining this conclusion. (6 points) (c) Compute a 95% confidence interval for the population marginal effect of high school GPA on college GPA. (4 points) (d) What is the mean square error for this model? (2 points) (e) What does your model predict will be the college GPA of a student whose high school GPA was 3.2? (2 points) (1) Compute a 95% confidence interval for the mean value of your prediction from part (e). Note: the sample variance of hsGPA is 0.118 and its sample mean is 3.402.(4 points)