Consider a linear regression model where y represents the response variable, x is a quantitative explanatory variable, and dis a dummy variable. The model is estimated as = 16.1 + 3.9x - 3.6d. a. Interpret the dummy variable coefficient. O Intercept shifts down by 3.6 units as d changes from 0 to 1. O Slope shifts down by 3.6 units as d changes from 0 to 1. O Intercept shifts up by 3.6 units as d changes from 0 to 1. O Slope shifts up by 3.6 units as d changes from 0 to 1. b. Compute V for x = 2 and d= 1. (Round your answer to 1 decimal place.) c. Compute y for x = 2 and d= 0. (Round your answer to 1 decimal place.) yUsing 50 observations, the following regression output is obtained from estimating y = n + lx + 32:11 + 33'12 + e. Standard Coefficients Error 1': Stat p-value Intercept 0.68 0.25 2.72 0.0092 x 3.08 1.10 2.80 0.0074 d1 12.43 15.60 0.80 0.4278 d2 5.75 1.25 4.60 0.0000 I 3. Compute A y for x=255, d1 = 1, and d2 = 0; compute y for x: 255, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) ? E b-1. Interpret all and d2. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) B: II II o 255, d1 = 1 and (:12 x = 255, d1 = 0 and d2 H H B When :11 1, y is 12.48 units greater than when d1 = 0 , holding everything else constant. a When d2 = 1, y is 5.75 units greater than when d2 = 0, holding everything else constant. a When d1 = 1, y is 12.48 units less than when d1 = 0 , holding everything else constant. a When d2 = 1, y is 5.75 units less when 012 = 0 , holding everything else constant