You have obtained measurements of height in inches of 29 female and 81 male students (Studenth) at your university. A regression of the height on a constant and a binary variable (BFemme), which takes a value of one for females and is zero otherwise, yields the following result:

Studenth_hat= 71.0 - 4.84BFemme,R2= 0.40,SER= 2.0

(0.3)(0.57)

(a) What is the interpretation of the intercept? What is the interpretation of the slope? How tall are females, on average?

(b) Test the hypothesis that females, on average, are shorter than males, at the 1% level. Make sure you illustrate your test graphically. Show all the steps.

(c) Is it likely that the error term is homoskedastic here? Explain.