a) (3 pts) In a regression model with dependent variable Y and explanatory variables X1 and X2, we want: (circle all that apply) 1 Y and X1 to be strongly correlated 2) Y and X2 to be strongly correlated 3) X1 and X2 to be strongly correlated b) (3 pts) The Mars Team believes that if a regression of Y on X has an R2 of 0.80, then a regression of X on Y will have an R2 of 0.80. This is (circle one): 1) True 2) False c) (3 pts) In the Excel output for a regression model with two explanatory variables X1, X2, which is true about Significance F? (circle all that apply) 1) It is the probability that the regression is significant as a whole. 2) It is the probability that the regression result we observed is solely due to chance. 3) It is equal to the p-value for the following hypothesis test: HO: BX1 = 0, Ha: BX1 =0, where BX, is the population slope coefficient for variable X1 d) (3 pts) If we add one more explanatory variable to a regression model, the new model will have: (circle all that apply) 1) Larger or the same R2 than the old model 2) Larger or smaller R2 than the old model 3) Smaller se than the old model 4) Larger or smaller se than the old model