Using the teengamb data from the R package faraway, fit a model with gamble as the response and the variables verbal and income as predictors. (a) Test the hypothesis that $\beta_{\text {Verbal }}=\beta_{\text {income }}=0$. (b) Using the F-test for nested models, perform a hypothesis test to check if there is a linear relationship between the variables income and gamble. (c) Is there multicollinearity? SP.PC. 124