4. (15 pts) (Continuation from Question 3) Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: Studenth= 19.6 + 0.73 x Midparh, R2 = 0.45, SER = 2.0 (7.2) (0.10) where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standard errors. a. (5 pts) Test for the statistical significance of the slope coefficient. b. If children, on average, were expected to be of the same height as their parents, then this would imply two hypotheses, one for the slope and one for the intercept. (i) (2 pts) What should the null hypothesis be for the intercept? (ii) (3 pts) What should the null hypothesis be for the slope? c. (5 pts) Construct a 95% confidence interval for a one inch increase in the average of parental height