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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