Research university supports mens and womens athletics

Reference no: EM133204199 , Length: 2 Pages

Assignment:

Using data on 4,137 college students at a midsize research university that supports men's and women's athletics at the Division I level, the following equation was estimated using OLS:

colgˆpa= 1.392-0.0135hsperc+.00148sat

wherecolgpa is measured on a four-point scale, hsperc is the percentile in the high school graduating class (so that, for example, hsperc = 5 corresponds to the top 5% of the class), and sat is the combined math and verbal scores on the student achievement test.

a. Why does it make sense for the coefficient on hsperc to be negative?

b. What is the predicted college GPA when hsperc = 20 and sat = 1,050?

c. 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?

d. Holding hsperc fixed, what difference in SAT scores leads to a predicted colgpa difference of .50, or one-half of a grade point?

Reference no: EM133204199

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