The following regression equation was calculated from a dataset of 20 observations: Yhat = -1.0 + 2.5X1 + 4.0X2. The value of MSR and MSE are .465 and .004 respectively. The standard deviations of the regression coefficients of X1 and X2 are .26 and .21 respectively.
a) Test the hypothesis that at least one of the regression coefficients is not equal to zero. Use a .05 significance level.
b) Test Ho: β1 = 0 versus Ha: β1 0. Use a .05 significance level.
c) Test Ho: β2 = 0 versus Ha: β2 0. Use a .05 significance level.