1. (20 points) True or false: first indicate whether each of the following statements is true or false, and then justify your answer. No points will be given to questions without justification or with incorrect justification. (a) The 0L5 estimator is consistent although the error term has heteroscedasticity (b) R2 always approaches one as we include more and more regressors in the mode (c) A high p-value implies that the corresponding coefficient in the regression model is statistically signicantly different from zero. (cl) 0L5 estimators cannot be BLUE if the errors are not normally distributed (e) An F-test can only be used for one-sided testing