Source | SS df MS | Number of obs = 500
F( 4, 495) = 68.81 |
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Model | 91366.22524 4 341.55631 | Prob > F = 0.0000 | ||||||
Residual | 2457.20676 495 4.96405406 | R-squared = 0.3573
Adj R-squared = 0.3249 |
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Total | 3823.432 499 7.66218838 | Root MSE = 2.228 | ||||||
S | Coef. Std. Err. t P>|t| | [95% Conf. Interval] | ||||||
ASVABC | 1.20327 | .1134408 10.61 0.000 | .9803849 | 1.426155 | ||||
SM | .1745339 | .0475472 3.67 0.000 | .0811146 | .2679532 | ||||
SF | .1121408 | .0412465 2.72 0.007 | .031101 | .1931807 | ||||
MALE | -.8637231 | .2016953 -4.28 0.000 | -1.260007 | -.4674387 | ||||
cons | 10.90114 | .5946959 18.33 0.000 | 9.7327 | 12.06958 | ||||
MASVABC = MALE × ASVABC,
and regress S on ASVABC, MALE, and MASVABC. The following results are obtained
Sˆ = 14.556 + 1.688ASVABC − 0.710MALE − 0.317MASVABC,
(0.152) (0.173) (0.211) (0.221)
P.T.O.
where the standard errors of parameter estimates are in brackets. Write down the fitted models for male and female respondents, respectively. Comment on whether education attainment models are different for males and females based on t statistics. [10 marks]