Short answer type questions. 1. (15 points) (No Excel/STATA calculation is needed for this question) Suppose you want to estimate the following relationship: In(wage) = Bo + Bibeauty + Byexper + B3(age - 20) + u (1) where beauty =physical attractiveness of a worker, exper= number of years of experience, age=number of years. (a) Your friend told you that the "beauty-effect" on In(wage) is more on women. How would you incorporate and test this in your model? Assume that you know the gender of each person in the data. (b) How would you estimate the model correcting for multicollinearity? (c) How would you test the hypothesis that the error term in (1) is heteroskedastic? How would you estimate the model correcting for heteroskedasticity