Please answer (a) to (f).

Let Y and X denote the labor force participation rate of women in 19?2 and 1968, respectively, in each of 19 cities in the United States. The regression output for this data is shown in the following table. \" 0103311 - . \"m 5= 11566 It was also found that SSR=D.0358 and SSE=U.0544. Suppose that the model 1' = n. + 31X + 5 satisfies the usual regression assumptions- {a} Compute Vor(Y) and Cor'r, Y). {b} Suppose that the participation rate of women in 1968 in a given city is 45%. What is the estimated participation rate of women in 1972 for the same city? 1:} Suppose further that the mean and variance of the participation rate of women in 1963 are 0.5 and 0.005, respectivelv. Construct a 95% confidence interval for the estimate in [b]. {d} Construct a 95% confidence interval for the slope of the true regression line, .191. {e} Test the hypothesis H\": .81 = 1 versus H1: 31 > 1 at the 95% signicance level. if} if Y and X were reversed in the above regression, what would you expect R2 to be