Question

9. Using data on 4,137 college students, the following equation was estimated by OLS colgpâ = 1.3920 – .0122hsperc + .0013sat, n = 4,137, R² = .281, 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 test. 1) How would you interpret the estimated slope for hsperc? 2) How would you interpret the R²? 3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students? 4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?

          9. Using data on 4,137 college students, the following equation was estimated by OLS
colgpâ = 1.3920 – .0122hsperc + .0013sat,
n = 4,137, R² = .281,
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 test.

1) How would you interpret the estimated slope for hsperc?
2) How would you interpret the R²?
3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students?
4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?

9. Using data on 4,137 college students, the following equation was estimated by OLS
colgpâ = 1.3920 – .0122hsperc + .0013sat,
n = 4,137, R² = .281,
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 test.

1) How would you interpret the estimated slope for hsperc?
2) How would you interpret the R²?
3) Suppose that two high school graduates, A and B, graduated in the same percentile from high school, but Student A's SAT score was 140 points higher (about one standard deviation in the sample). What is the predicted difference in college GPA for these two students?
4) If hsperc is omitted from the regression, would you expect the coefficient of sat to be overestimated or underestimated?

Added by Kristopher L.

Question

Please give Ace some feedback