(b) (4 points) Interpret the intercept of the regression. Is this a logical estimate? Why or why not? (c) (4 points) Interpret the slope of the regression. Is this a logical estimate? Why or why not? (d) (6 points) A politician predicts that in 10 years, infant mortality will drop by more than 8 children in 1000 births. Use the regression output to test this prediction at a 10% significance level. (e) (6 points) Obtain the residuals of this regression and analyze them to determine whether the assumptions of OLS regression are satisfied for this particular regression. Show STATA commands and their output. (f) (4 points) You plot infant mortality against year and notice three observations are clear outliers. Drop the three largest observations from your data set and run the regression again. What do you notice about the slope of the regression? (g) (6 points) Use the regression output to test the politician's prediction from part d), at a 10% significance level