Introduction to Econometrics 3rd Edition by James Stock, James Stock

تمرين 15

Use the data set CollegeDistance described in Empirical Exercise 4.3 to answer the following questions.
a. Run a regression of ED on Bist, Female, Bytest, Tuition, Black, Hispanic, Incomehi, Ownhome, DadColl, MomColl, Cue80, and Stwmfg80. If Dist increases from 2 to 3 (that is, from 20 to 30 miles), how are years of education expected to change If Dist increases from 6 to 7 (that is, from 60 to 70 miles), how are years of education expected to change
b. Run a regression of In (ED) on Dist, Female, Bytest, Tuition, Black, Hispanic, Incomehi, Ownhome, DadColl, MomColl, Cue80, and Stwmfg80. If Dist increases from 2 to 3 (from 20 to 30 miles), how are years of education expected to change If Dist increases from 6 to 7 (from 60 to 70 miles), how are years of education expected to change
c. Run a regression of ED on Dist, Dist 2 , Female, Bytest, Tuition, Black, Hispanic, Incomehi, Ownhome, DadColl, MomColl, Cue80, and Stwmfg80. If Dist increases from 2 to 3 (from 20 to 30 miles), how are years of education expected to change If Dist increases from 6 to 7 (from 60 to 70 miles), how are years of education expected to change
d. Do you prefer the regression in (c) to the regression in (a) Explain.
e. Consider a Hispanic female with Tuition = $950, Bytest = 58, Incomehi = 0, Ownhome = 0, DadColl = 1, MomColl = 1, Cue 80 = 7.1, and Stwmfg = $10.06.
i. Plot the regression relation between Dist and ED from (a) and (c) for Dist in the range of 0 to 10 (from 0 to 100 miles). Describe the similarities and differences between the estimated regression functions. Would your answer change if you plotted the regression function for a white male with the same characteristics
ii. How does the regression function (c) behave for Dist 10 How many observation are there with Dist 10
f. Add the interaction term DadColl × MomColl to the regression in (c). What does the coefficient on the interaction term measure
g. Mary, Jane, Alexis, and Bonnie have the same values of Dist, Bytest, Tuition, Female, Black, Hispanic, Fincome, Ownhome, Cue80 and Stwmfg80. Neither of Mary's parents attended college. Jane's father attended college, but her mother did not. Alexis's mother attended college, but her father did not. Both of Bonnie's parents attended college. Using the regressions from (f):
i. What does the regression predict for the difference between Jane's and Mary's years of education
ii. What does the regression predict for the difference between Alexis's and Mary's years of education
iii. What does the regression predict for the difference between Bonnie's and Mary's years of education
h. Is there any evidence that the effect of Dist on ED depends on the family's income
i. After running all these regressions (and any others that you want to run), summarize the effect of Dist on years of education.