S = 1 + 2SM + 3SF + u Calculate the F-statistic using the explained sum of squares and the residual sum of squares in the regression output, verify that it matches the F-statistic in the output, and perform an F-test of the explanatory power of the equation as a whole. State the null and alternative hypotheses clearly, as well as the result. No need to interpret regression results.

Source SS df MS Number of obs 500 F (2, 497) 77.53 Model 932.70826 2 466.35413 Prob > F 0.0800 Residual 2989 . 40374 497 6. 01489686 R-squared 0 .2378 Adj R-squared 0.2347 Total 3922 . 112 499 7.85994389 Root MSE 2. 4525 S Coef. Std. Err. t [95% Conf. Interval] SM . 2498895 .0513361 4.87 0.080 .1498269 . 3507521 SF .2891532 .0445421 6.49 0.080 . 2016393 .3766672 Cons 7. 409987 . 5990642 12.37 0.080 6.232977 8. 586998