Question # 3. A study was recently performed by the American Automobile Association model to explain variation in Environmental Protection Agency (EPA) mileage rating of new cars. At one stage of the analysis, the estimate of the model took the following form: Where: ŷ 34.20-0.003x₁ +4.5x2 x₁ Vehicle weight (1, if standard transmission x20, if automatic transmission a. Interpret the regression coefficient for variable x₁. b. Interpret the regression coefficient of variable x2. c. Present an estimate of a model that would predict the average EPA mileage rating for an automobile with standard transmission as a function of the vehicle's weight. d. Cadillac's STS-V with automobile transmission weight approximately 3973 pounds, provide an estimate of the average highway mileage you would expect to obtain from this model.