c. What does the differences in the coefficient on hgc between specifications in
ID: 3256484 • Letter: C
Question
c. What does the differences in the coefficient on hgc between specifications in part (a) and part (b) tell us about the correlation between hgc and test Explain using the formula for omitted variables bias discussed in class 2. Interaction Terms. Continuing the last question in HW5 and HW6. Now, we think that perhaps female athletes might have higher gpa than male athletes. To capture this effect we include an interaction between female and athlete ie femath female athlete. reg colgpa hsize hsizes hsperc female athlete sat femath 4137 Number of obs Source df SS MS 243.88 4129) 0.0000 Model 524.821272 Prob F 74.9 7446 74 0.2925 R-squared Residual 1269.3744 4 129 307429 015 Adj R-squared 0.2913 55446 Total 1794 19567 Root MSE 4136 4337997 28 958 Conf Interval colgpa Coef Std Err P t hsize 0888889 0247 124 0568006 0163671 3.47 0.001 hsizes 004 (6699 0.038 0002573 0090825 0022507 2.07 hsperc 0132 114 01, 2088 000573 23.06 0.000 0143349 female 154 6151 1905168 0183122 8.44 0.000 1187133 athlete 0484877 1674 185 2624 806 3.45 0.001 072 3564 0000669 Sat .0016462 24.62 0.000 0015151 001 7773 femath 0076921 096 1748 0.08 0.936 1808623 19 624 66 24 1575 0795453 15.61 0.000 1.085623 1.397526 COnS a. What's the predicted gpa difference between female athletes and female nonathletes with the same values in other regressors? b. What's the predicted gpa difference between female athletes and male athletes with the same values in other regressors? c. If you are interested in testing whether there is a gender gpa gap, what would be your null hypothesis?Explanation / Answer
Answer to part a)
The predicted difference in GPA of Female non atheletes and female atheletes would be the difference in their coefficients
Coefficient of female is : 0.1546
Coefficient of Femath is : 0.007692
.
The predicted difference is : 0.1546 - 0.007692 = 0.146908
.
Answer to part b)
The predicted GPA difference between female and male atheletes would again be the difference in the coefficients of the two variables
.
Answer to part c)
The null hypothesis would be :
There is no gender gap in GPA. This implies the female GPA is same as Male GPA
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