Part 2: Multiple Regression Now run the regression: OLD_SCORE = a0 + a1*PAY_PROGRAM + e a. Write down the regression equation, with standard errors in parenthesis. b. Interpret the coefficient a1: c. In which way do you think the relationship between OLD_SCORE and PAY_PROGRAM bias your estimates on Part 1: d. Now run the following regression and write down the regression equation (standard errors in parenthesis) and the adjusted R-2: SCORE=60+b1*PAY_PROGRAM+b2*OLD_SCORE+e e. Interpret the coefficient on b1: f. Use your three equations to show that the bias equation holds (c1=b1+b2*a1) g. Which is larger (more positive), the coefficient on PAY_PROGRAM in part 1 or the coefficient on PAY_PROGRAM in part 2? Explain in words why that coefficient is larger