Question

A regression of years of schooling S on an intelligence test score (ASVABC), mother's years of schooling (SM), father's years of schooling (SF), MALE, black race (ETHBLACK), Hispanic race (ETHHISP), and interaction terms for MALE and race, yielded the following results. The reference group containing the dropped categories is picked up by the constant term. This reference group is white female because MALE, ETHHISP, and ETHBLAC are explicitly included as regressors. The average effect of being male and white on years of schooling relative to the reference group is: . gen MALEBLAC = MALEETHBLACK . gen MALEHISP = MALEETHHISP . reg S ASVABC SM SF MALE ETHBLACK ETHHISP MALEBLAC MALEHISP Source | SS df MS Number of obs = 540 ---------+------------------------------ F( 8, 531) = 40.87 Model | 1267.90571 8 158.488214 Prob > F = 0.0000 Residual | 2059.09243 531 3.87776353 R-squared = 0.3811 ---------+------------------------------ Adj R-squared = 0.3718 Total | 3326.99815 539 6.17253831 Root MSE = 1.9692 ------------------------------------------------------------------------------ S | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- ASVABC | .1230092 .0108183 11.37 0.000 .1017574 .1442611 SM | .1742696 .0436279 3.99 0.000 .0885651 .2599742 SF | .1090157 .0324569 3.36 0.001 .045256 .1727753 MALE | -.5127105 .1874445 -2.74 0.006 -.8809342 -.1444868 ETHBLACK | .8454512 .3718442 2.27 0.023 .1149849 1.575917 ETHHISP | .5528601 .5842755 0.95 0.344 -.5949149 1.700635 MALEBLAC | -.2039688 .5413949 -0.38 0.707 -1.267507 .8595698 MALEHISP | 1.301367 .7767075 1.68 0.094 -.2244294 2.827163 _cons | 4.202037 .5900196 7.12 0.000 3.042978 5.361096 ------------------------------------------------------------------------------ A. 1.34 B. 0.85 C. 0.55 D. -0.51

          A regression of years of schooling S on an intelligence test score (ASVABC), mother's years of schooling (SM), father's years of schooling (SF), MALE, black race (ETHBLACK), Hispanic race (ETHHISP), and interaction terms for MALE and race, yielded the following results. The reference group containing the dropped categories is picked up by the constant term. This reference group is white female because MALE, ETHHISP, and ETHBLAC are explicitly included as regressors. The average effect of being male and white on years of schooling relative to the reference group is:

. gen MALEBLAC = MALE*ETHBLACK
. gen MALEHISP = MALE*ETHHISP

. reg S ASVABC SM SF MALE ETHBLACK ETHHISP MALEBLAC MALEHISP

Source | SS df MS Number of obs = 540
---------+------------------------------ F( 8, 531) = 40.87
Model | 1267.90571 8 158.488214 Prob > F = 0.0000
Residual | 2059.09243 531 3.87776353 R-squared = 0.3811
---------+------------------------------ Adj R-squared = 0.3718
Total | 3326.99815 539 6.17253831 Root MSE = 1.9692

------------------------------------------------------------------------------
S | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
ASVABC | .1230092 .0108183 11.37 0.000 .1017574 .1442611
SM | .1742696 .0436279 3.99 0.000 .0885651 .2599742
SF | .1090157 .0324569 3.36 0.001 .045256 .1727753
MALE | -.5127105 .1874445 -2.74 0.006 -.8809342 -.1444868
ETHBLACK | .8454512 .3718442 2.27 0.023 .1149849 1.575917
ETHHISP | .5528601 .5842755 0.95 0.344 -.5949149 1.700635
MALEBLAC | -.2039688 .5413949 -0.38 0.707 -1.267507 .8595698
MALEHISP | 1.301367 .7767075 1.68 0.094 -.2244294 2.827163
_cons | 4.202037 .5900196 7.12 0.000 3.042978 5.361096
------------------------------------------------------------------------------

A. 1.34
B. 0.85
C. 0.55
D. -0.51

A regression of years of schooling S on an intelligence test score (ASVABC), mother's years of schooling (SM), father's years of schooling (SF), MALE, black race (ETHBLACK), Hispanic race (ETHHISP), and interaction terms for MALE and race, yielded the following results. The reference group containing the dropped categories is picked up by the constant term. This reference group is white female because MALE, ETHHISP, and ETHBLAC are explicitly included as regressors. The average effect of being male and white on years of schooling relative to the reference group is:

. gen MALEBLAC = MALE*ETHBLACK
. gen MALEHISP = MALE*ETHHISP

. reg S ASVABC SM SF MALE ETHBLACK ETHHISP MALEBLAC MALEHISP

Source | SS df MS Number of obs = 540
———+—————————— F( 8, 531) = 40.87
Model | 1267.90571 8 158.488214 Prob > F = 0.0000
Residual | 2059.09243 531 3.87776353 R-squared = 0.3811
———+—————————— Adj R-squared = 0.3718
Total | 3326.99815 539 6.17253831 Root MSE = 1.9692

——————————————————————————
S | Coef. Std. Err. t P>|t| [95% Conf. Interval]
————-+—————————————————————-
ASVABC | .1230092 .0108183 11.37 0.000 .1017574 .1442611
SM | .1742696 .0436279 3.99 0.000 .0885651 .2599742
SF | .1090157 .0324569 3.36 0.001 .045256 .1727753
MALE | -.5127105 .1874445 -2.74 0.006 -.8809342 -.1444868
ETHBLACK | .8454512 .3718442 2.27 0.023 .1149849 1.575917
ETHHISP | .5528601 .5842755 0.95 0.344 -.5949149 1.700635
MALEBLAC | -.2039688 .5413949 -0.38 0.707 -1.267507 .8595698
MALEHISP | 1.301367 .7767075 1.68 0.094 -.2244294 2.827163
cons | 4.202037 .5900196 7.12 0.000 3.042978 5.361096
——————————————————————————

A. 1.34
B. 0.85
C. 0.55
D. -0.51

Added by David L.

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