Econometrics: Data Description
I attached files.
Context
Run a regression of years of completed education (ED) on distance to the nearest college (Dist). What is the estimated slope?
Run a regression of ED on Dist, but include some additional regressors to control for characteristics of the student, the student’s family, and the local labor market. In particular, include as additional regressors Bytest, Female, Black, Hispanic, Incomehi, Ownhome, DadColl, Cue80, and Stwmfg80. Interpret the estimated effect of all these regressors on ED.
Is the estimated effect of Dist on ED in the regression in (b) substantively different from the regression in (a)? Based on this, does the regression in (a) seem to suffer from important omitted variable bias? Explain.
Compare the fit of the regression in (a) and (b). Comment.
The value of the coefficient on DadColl is positive. What does this coefficient measure?
Explain why Cue80 and Swmfg80 appear in the regression. Are the signs of their estimated coefficients (+ or -) what you would have believed? Interpret the magnitudes of these coefficients.
Bob is a black male. His high school was 20 miles from the nearest college. His base year composite test score (Bytest) was 58. His family income in 1980 was $26,000, and his family owned a home. His mother attended college, but his father did not. The unemployment rate in his county was 7.5%, and the state average manufacturing hourly wage was $9.75. Predict Bob’s years of completed schooling using the regression in (b). Show all the steps.
Jim has the same characteristics as Bob except that his high school was 40 miles from the nearest college. Predict Jim’s years of completed schooling using the regression in (b).
Econometrics: Data Description Assignment
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Econometrics: Data Description Assignment
a) Regression equation of years of completed education (ED) on distance to the nearest college (Dist)
Variable
Coefficient
Std. Error
t-Statistic
Prob.
DIST
-0.073373
0.013750
-5.336274
0.0000
C
13.95586
0.037724
369.9451
0.0000
R-squared
0.007450
Mean dependent var
13.82929
Adjusted R-squared
0.007188
S.D. dependent var
1.813969
S.E. of regression
1.807438
Akaike info criterion
4.022224
Sum squared resid
12394.36
Schwarz criterion
4.025513
Log likelihood
-7632.182
Hannan-Quinn criter.
4.023393
F-statistic
28.47582
Durbin-Watson stat
1.768991
Prob(F-statistic)
0.000000
From the above table, the coefficient of distance to the nearest college is -0.073373, which is the slope.b) Regression of years of completed education (ED) on Distance to nearest college (Dist) with additional regressors: Bytest, Female, Black, Hispanic, Incomehi, Ownhome, DadColl, Cue80 and Stwmfg80
Variable
Coefficient
Std. Error
t-Statistic
Prob.
DIST
-0.031539
0.012370
-2.549555
0.0108
BYTEST
0.093820
0.003162
29.66931
0.0000
FEMALE
0.145408
0.050589
2.874308
0.0041
BLACK
0.367971
0.071363
5.156331
0.0000
HISPANIC
0.398520
0.074462
5.352011
0.0000
INCOMEHI
0.395198
0.060531
6.528878
0.0000
OWNHOME
0.152131
0.066807
2.277160
0.0228
DADCOLL
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