Would you expect more reliable and better performing cars to cost more? Consumer Reports provided reliability ratings, overall road-test scores, and prices for affordable family sedans, midpriced family sedans, and large sedans (Consumer Reports, February 2008). A portion of the data follows. Reliability was rated on a 5-point scale from poor (1) to excellent (5). The road-test score was rated on a 100-point scale, with higher values indicating better performance. The complete data set is contained in the file named Sedans.

a. Develop an estimated regression equation that can be used to predict the price of the car given the reliability rating. Test for significance using α = .05.
b. Consider the addition of the independent variable overall road-test score. Develop the estimated regression equation that can be used to predict the price of the car given the road-test score and the reliability rating.
c. Estimate the price for a car with a road-test score of 80 and a reliability rating of 4.

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Price (S) Make and Model Nissan Altima 2.5 S Honda Accord LX-P Kia Optima EX (4-cyl.) Toyota Camry LE Hyundai Sonata SE Road-Test Score Reliability 85 22795 22795 21080 76 Chrysler 300 Touring Dodge Charger SXT 30255 28860 58