(3) Suppose that you ran the regression of Y on X and a constant and obtained the following results. Y-2+.75 X (8) (25) where the numbers in parenthesis are standard errors a) given that the sample size is 24, test the following hypothesis at the 95% level of significance H₂B-0 & H₂:8,- H, Bo H, Be b) Construct a 95% coffidence interval for Do (The costant) and test the hypothesis that Bo-3. c) What is the residual variance, How does it relate var (B). 1.000000 0.740857 13:3815 Numbers in each row of (df) degrees of freedom for si 0.40 0.25 0.10 0.324920 1.000000 3.077684 2 0.288675 0.816497 1.885618 3 0.276671 0.764892 1.637744 4 0.270722 0.740697 1.533206 5 0.267181 0.726687 1.475884 6 0.264835 0.717558 1.439756 0.711142 1.414924 7 0.263167 0.706387 1.396815 8 0.261921 1:202020 702722 0260055 GOOD LUCK df/p 1 C