Problem 3(7+7+7) In the example in equation (7.29), see regression result below, we used infl as the outcome variable where it had value 1 if women were in the labor force( see documentation on dataset mroz for details on all variables. Suppose, looking at the other side, that we define outlf to be one if the woman is out of the labor force, and zero otherwise. a. If we regress outlf on all of the independent variables in equation (7.29), what will happen to the intercept and slope estimates? (Hint: inlf =1 outlf . Plug this into the population equation for 7.29 and rearrange). b. What will happen to the standard errors on the intercept and slope estimates? c. What will happen to the R-squared? Problem 3(7+7+7) In the example in equation (7.29), see regression result below, we used infl as the outcome variable where it had value 1 if women were in the labor force( see documentation on dataset mroz for details on all variables. Suppose, looking at the other side, that we define outlf to be one if the woman is out of the labor force, and zero otherwise. a. If we regress outlf on all of the independent variables in equation (7.29), what will happen to the intercept and slope estimates? (Hint: inlf =1 outlf . Plug this into the population equation for 7.29 and rearrange). b. What will happen to the standard errors on the intercept and slope estimates? c. What will happen to the R-squared