Assume that all observations are either male or female, and all observations are either black, white, or Asian but only one of the three. You also know wages for all observations. (a) Consider the following models and explain whether they have perfect multicollinearity problem. (Hint: Male =1 if the observation is male, Male-0 if the observation is not male. The logic is the same for other variables) y = aMale + aFemale,+ a3Black+a,White,+ asAsian + u. (1) y = + BMale + B3Black + BWhite, + sAsian, + uzi. (2) y=0Male,+0Female, + 03Black, +0,White,+uzi. (3) (b) Construct your own model to estimate the difference of wages between black male and white female. Show the process.