A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, where x 1 represents the vehicle weight and x 2equalsleft brace Start 2 By 1 Matrix 1st Row 1st Column 1 comma if standard transmission 2nd Row 1st Column 0 comma if automatic transmission EndMatrix . Complete parts a through e. ModifyingAbove y with caret equals 34.15 minus 0.004 x 1 plus 4.56 x 2 Question content area bottom Part 1 a. Interpret the regression coefficient for variable x 1. Choose the correct answer below. A. Holding constant the effects of x 2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.004. This is the correct answer.B. Holding constant the effects of x 2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.56. C. The regression coefficient associated with variable x 1 is the y-intercept. Your answer is not correct.D. Holding constant the effects of x 1, as the vehicle weight decreases by 1