Question
Plot the regression relation betweenAgeand ln(AHE) from(b),(c), and (d)for males with a high school diploma. Describe the similarities and differences between the estimated regression functions.
Plot the regression relation betweenAgeand ln(AHE) from(b),(c), and (d)for males with a high school diploma. Describe the similarities and differences between the estimated regression functions. Would your answer change if you plotted the regression function for females with college degrees?
b)
Dependent Variable: LOG(AHE) | ||||
Method: Least Squares | ||||
Date: 05/11/24 Time: 08:21 | ||||
Sample: 1 7440 | ||||
Included observations: 7440 | ||||
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
C | 1.941423 | 0.058683 | 33.08333 | 0.0000 |
AGE | 0.025518 | 0.001953 | 13.06717 | 0.0000 |
FEMALE | -0.192338 | 0.011345 | -16.95340 | 0.0000 |
BACHELOR | 0.437783 | 0.011236 | 38.96350 | 0.0000 |
R-squared | 0.196384 | Mean dependent var | 2.849075 | |
Adjusted R-squared | 0.196060 | S.D. dependent var | 0.533362 | |
S.E. of regression | 0.478226 | Akaike info criterion | 1.363073 | |
Sum squared resid | 1700.617 | Schwarz criterion | 1.366790 | |
Log likelihood | -5066.630 | Hannan-Quinn criter. | 1.364350 | |
F-statistic | 605.7259 | Durbin-Watson stat | 1.935891 | |
Prob(F-statistic) | 0.000000 | |||
C)
Dependent Variable: LOG(AHE) | ||||
Method: Least Squares | ||||
Date: 05/05/24 Time: 19:18 | ||||
Sample: 1 7440 | ||||
Included observations: 7440 | ||||
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
C | 0.149532 | 0.194364 | 0.769337 | 0.4417 |
LOG(AGE) | 0.752941 | 0.057337 | 13.13190 | 0.0000 |
FEMALE | -0.192356 | 0.011344 | -16.95694 | 0.0000 |
BACHELOR | 0.437664 | 0.011234 | 38.95730 | 0.0000 |
R-squared | 0.196563 | Mean dependent var | 2.849075 | |
Adjusted R-squared | 0.196239 | S.D. dependent var | 0.533362 | |
S.E. of regression | 0.478173 | Akaike info criterion | 1.362850 | |
Sum squared resid | 1700.238 | Schwarz criterion | 1.366567 | |
Log likelihood | -5065.801 | Hannan-Quinn criter. | 1.364127 | |
F-statistic | 606.4135 | Durbin-Watson stat | 1.935742 | |
Prob(F-statistic) | 0.000000 | |||
d)
Dependent Variable: LOG(AHE) | ||||
Method: Least Squares | ||||
Date: 05/11/24 Time: 08:59 | ||||
Sample: 1 7440 | ||||
Included observations: 7440 | ||||
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
C | 0.791882 | 0.669950 | 1.182001 | 0.2372 |
AGE | 0.104045 | 0.045631 | 2.280121 | 0.0226 |
AGE^2 | -0.001328 | 0.000771 | -1.722480 | 0.0850 |
FEMALE | -0.192398 | 0.011344 | -16.96091 | 0.0000 |
BACHELOR | 0.437412 | 0.011236 | 38.92845 | 0.0000 |
R-squared | 0.196705 | Mean dependent var | 2.849075 | |
Adjusted R-squared | 0.196273 | S.D. dependent var | 0.533362 | |
S.E. of regression | 0.478163 | Akaike info criterion | 1.362942 | |
Sum squared resid | 1699.939 | Schwarz criterion | 1.367589 | |
Log likelihood | -5065.146 | Hannan-Quinn criter. | 1.364539 | |
F-statistic | 455.1563 | Durbin-Watson stat | 1.935372 | |
Prob(F-statistic) | 0.000000 | |||
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