. regress gpa sat study hsgpa male Source df MS Model 21.8021486 Number of obs F
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. regress gpa sat study hsgpa male Source df MS Model 21.8021486 Number of obs F(4, 55) 60 34.43 Residual8.7715272 4 5.45053515 Prob .158311868 R-squared F 55 0.7146 Adj R-squared.6939 39788 Total3 59 .517106667 Root MSE [95% Conf. Interval] .8019132 0360817 gpa Coef. Std. Err. t p>It] sat study hsgpa 0012388 .0003365 3.68 0.001 0263236 .0048692 5.41 0.000 340192 1180804 2.88 0.006 .0805644 :0165655 1035535 .5768304 male.2191898 .1054893 -2.08 0.042 430595 0077846 cons.342623 .3878679-0.880.381 -1.119928 4346818Explanation / Answer
Here' answer to the question:
Women have the highest GPA.This is because if its a male the predicted GPA falls by .2191898 units. If it' a male the GPA won't fall by this extent , provided all other parameters remain same.
No, it doesn't suffer from multicollinearity. If it were to suffer from multicollinearity then the p-values would have been more than .05, indicating that the
few of the variables which suffered from multicollinearity are insignificaant, because they are collinear with some other variable.
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