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, represents the vehicle weight and x2 = 1, if standard transmission 0, if automatic transmission Complete parts a through e. y = 34.56 -0.002x, + 4.88x2 a. Interpret the regression coefficient for variable x1 . Choose the correct answer below. O A. Holding constant the effects of x1, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.88. O B. Holding constant the effects of X2, as the vehicle weight increases by 1 pound, the average highway mileage rating increases by 0.002. O C. Holding constant the effects of X2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.002. O D. The regression coefficient associated with variable x, is the y-intercept. Question Viewer 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, represents the vehicle weight and x2 = 1, if standard transmission 0, if automatic transmission . Complete parts a through e. y = 34.56 -0.002x1 + 4.88x2 b. Interpret the regression coefficient for variable X2. Choose the correct answer below. O A. Holding constant the effects of x, , a car with a standard transmission has an average highway mileage rating that is 0.002 higher than a car with an automatic transmission O B. The regression coefficient associated with variable x2 is the y-intercept. O C. Holding constant the effect of X2 ,a car with an automatic transmission has an average highway mileage rating that is 0.002 lower than a car with a standard ransmission. O D. Holding constant the effects of x, , a car with a standard transmission has an average highway mileage rating that is 4.88 higher than a car with an automatic transmission. 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, represents the vehicle weight and x2 = 1, if standard transmission 0, if automatic transmission . Complete parts a through e. y = 34.56 - 0.002x1 + 4.88x2 c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. y = [+0) (Simplify your answers. Type integers or decimals.) d. A certain automobile with automatic transmission weighs approximately 4,467 pounds. Provide an estimate of the average highway mileage you would expect to obtain from this model. (Type an integer or a decimal.)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, represents the vehicle weight and x2 = 1, if standard transmission Complete parts a 0, if automatic transmission through e. y = 34.56 - 0.002x1 + 4.88x2 U. A VaniaIN QUIOMOVING WILL automauyuanISMISSION WGIgno approximately 4,407 pounds. ToVING an caulmale VI Ic average mignway micaye you Would GAPGUL IU obtain from this model. (Type an integer or a decimal.) e. Discuss the effect of a dummy variable being incorporated in a regression equation like this one. Use a graph if it is helpful. Choose the correct answer below. O A. Incorporating the dummy variable essentially gives two regression equations with the same intercept but different slopes depending on the type of transmission. O B. Incorporating the dummy variable essentially gives two regression equations with the same slope but different intercepts depending on the type of transmission. O C. Incorporating the dummy variable essentially gives two regression equations with the same intercept but different slopes depending on the weight of the vehicle. O D. Incorporating the dummy variable essentially gives two regression equations with the same slope but different intercepts depending on the weight of the vehicle
