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 = 16.2 + 3.7x - 4.1d. a. Interpret the dummy variable coefficient. O Intercept shifts down by 4.1 units as d changes from 0 to 1. O Slope shifts down by 4.1 units as d changes from 0 to 1. O Intercept shifts up by 4.1 units as d changes from 0 to 1. O Slope shifts up by 4.1 units as d changes from 0 to 1. b. Compute for x = 2 and d= 1. (Round your answer to 1 decimal place.) c. Compute for x = 2 and d= 0. (Round your answer to 1 decimal place.)Using 50 observations, the following regression output is obtained from estimating y = o + 191;: + 52:11 + 3d2 + a. Standard Coefficients Error t Stat p-value Intercept 0.69 0.20 3.45 0.0012 x 3.57 1.02 3.50 0.0010 d1 12.15 16.20 0.75 0.4571 d2 5.90 1.25 4.72 0.0000 ' a. Compute y for x=245, d1 = 1, and d2 = o; compute y for X: 245, d1 = o, and d2 = 1. (Round your answers to 2 decimal places.) A )7 x=245,d1=1andd2=0 245, d1 = o and d2 1 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.) 5: II I: When :11 1, y is 12.15 units greaterthan when d1 = 0, holding everything else constant. I: When d2 = 1, 9 is 5.90 units greater than when d2 = 0, holding everything else constant. I: When d1 = 1, 9 is 12.15 units less than when d1 = 0, holding everything else constant. I: When :12 = 1, y is 5.90 units less when d2 = 0, holding everything else constant