Question 1: Manager Rating (Bootcamp Lecture) We discussed this example in class using the following dummy variable Origin [Internal]=1, if Origin="Internal"; =0, otherwise, and considered the following interaction model: Rating = Bo + B1Origin[Internal] + B2Salary + $3Origin[Internal] * Salary + E. Now define another dummy variable Origin [Internal]=1, if Origin="Internal"; =-1, otherwise, And consider the following model Rating = do + a1 Origin [Internal] + a2Salary + a3Origin [Internal] * Salary + E. Please derive the relationships between {ao, 1, a2, a3} and {Bo, B1, B2, B3}