Using the data on 4,137 college students, the following equation was estimated by OLS: colgpa_hat = 1.392 - .0135 hsperc + .00148 sat where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test. What is the predicted college GPA when hsperc = 30 and sat = 1,000?
a. 2.813
b. 2.692
c. 2.283
d. 2.467
Answer
The correct answer is (d) 2.467.
Regression is given by : colgpa_hat = 1.392 - .0135 hsperc + .00148 sat
Where colgpa = College GPA , colgpa_hat = Predicted value of college GPA and that is we have to calculate, hsperc = 30 and sat = 1,000
=> colgpa_hat = 1.392 - .0135 hsperc + .00148 sat
= 1.392 - .0135*30 + .00148 *1000
= 2.467
Thus, the predicted college GPA when hsperc = 30 and sat = 1,000 is 2.467
Hence, the correct answer is (d) 2.467.
Using the data on 4,137 college students, the following equation was estimated by OLS: colgpa_hat = 1.392 - .0135 hsperc...
C. Calculation Problems (40 marks) 1. Using the data in GPA2.RAW on 4,137 college students, the following equation was esti- mated by OLS: colgpa = 1.392 - 0135 hsperc+.00148 sat n =4,137, R2 = 273, where colgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc =5 means the top 5% of the class), and sat is the combined math and verbal scores on the student achievement...
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