Use the data in GPA2 for this exercise. a. Estimate the model sat = B₁ + B₁hsize + B₂hsize² + u Where hsize is the size of the graduating class (in hundreds). Write the results in the usual form. Is the quadratic term statistically significant? Explain. Note that hsize² is as hsizesq in the data set. b. Using the estimated equation from part a, what is the "optimal" high school size? Justify your answer.