d. Holding everything constant, what would be the average change in GPA when we
ID: 3244951 • Letter: D
Question
d. Holding everything constant, what would be the average change in GPA when we compare the size of high school graduating class A (size = 300) and B (size=500)?
e. What is the optimal high school class?
f. High School graduating class in the regression above is measured in hundreds. If we reran the regression with hsize measured in units what would the new coefficient and standard error be? Would the t-stat change? Why or why not?
g. Holding lsat, hsize, and hsizesq, What is the estimated difference in GPA between nonblack females and nonblack males?
h. What is the estimated difference in GPA between nonblack males and black males? Test the null hypothesis that there is no difference between their scores, against the alternative that there is a difference.
i. What is the estimated difference in GPA between black females and nonblack females?
results df MS 4135 XXKXX XXKXX Source Number of obs 54.88813 6 Model Residual 295.60292 4128 9.14802161 071609235 R-squared Adj R-squaredxxxxx Root MSE Total 350.49105 4134 084782547 0.2676 lcolgpa Coef Std. Err. t P>t 95% Conf Interval lsat 0.7633204 0.0094815 0.002731 0.0957847 0.052844 femaleblack 0.046185 -4.384915 0316101xxxx 0077148Xxxx 0010606xxxx 008716 0261649xXxx 0364934XXXX .2192868xxxx 0.7013475 0.825293 0.0056438 0.024607 xxxxx0.0048106 -0.000652 0.0786965 0.112873 xxxxx0.1041415 -0.001547 xxxxx-0.1177314 0.025362 4.814835 3.954995 XKKXX Size hsizesq female XKKXX consExplanation / Answer
Answer to part d)
Coefficients of high school size = 0.0094815
Thus when the size changes from 600 to 300
change in GPA = 600*0.0094815 - 300* 0.0094815 = 2.84445
.
Answer to part e)
If the GPA increases by increasing the class size the optimal class would be 600
.
Answer to part f)
The regression coefficient gets multiplied by 10 , but the standard error and the T value do not change due to change in units
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