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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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