A study was recently performed by the American Automobile Association in which i

Question

A study was recently performed by the American Automobile Association in which it attempted to develop a regression model to explain variation in Environmental Protection Agency (EPA) highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the following form: y cap = 34.20 - 0.003x_1 + 4.56x_2 where: x_1 = vehicle weight (in pounds) x_2 = 1 (if manual transmission), 0 (if automatic transmission) Cadillac's STS-V with automatic transmission weighs approximately 4,394 pounds. Provide an estimate of the average highway mileage you would obtain from this model. (Negative values must include the minus sign. Report your answer to 3 decimal places, using conventional rounding rules) _________

Explanation / Answer

y=34.20-0.003x1 + 4.56 x2

given x2 =1 and x1 =4394 pounds

automatic transmission x2=0

therfore

y= 34.20-0.003*4394

=21.018

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