PROBLEMS 3.1 Using the data in GPA2.RAW on 4,137 college students, the following equation was estimated by OLS: colgpa = 1.392 0135 hsperc + .00148 sat n = 4,137, R = .273, where colgpa is measured on a four-point scale, hspere is the percentile in the high school graduating class (defined so that, for example, hsperc = 5 means the top five percent of the class), and sat is the combined math and verbal scores on the student achievement test. (i) Why does it make sense for the coefficient on hsperc to be negative? (ii) What is the predicted college GPA when hsperc = 20 and sat = 1050