Problem#4 23. Weight of a Car versus Miles per Gallon (Refer to Prob- lem 25, Section 4.1) An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. Car Buick Lucerne Cadillac De Ville Chevrolet Malibu Chrysler Sebring Sedan Dodge Neon Dodge Charger Ford Focus Lincoln LS Mercury Sable Pontiac G5 Saturn Ion Source: www.roadandtrack.com Weight (pounds)..x 3,765 3,984 3,530 3,175 2,580 3,730 2,605 3,772 3,310 2,991 2,752 Miles per Gallon, y 19 18727SHISHG 22 26 20 25 26 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) A Chevy Cobalt weighs 2,780 pounds and gets 22 miles per gallon. Is the miles per gallon of a Cobalt above aver- age or below average for cars of this weight? (d) Would it be reasonable to use the least-squares regres- sion line to predict the miles per gallon of a Toyota Prius, a hybrid gas and electric car? Why or why not?

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