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B. An engineer wants to determine how the weight of a car, x. affects gas mileage. y. The following data represent the weights of various

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B. An engineer wants to determine how the weight of a car, x. affects gas mileage. y. The following data represent the weights of various cars an- miles per gallon. Car A B C D E '21 Welght(poundsl,x 2615 3055 3375 3730 4060 MileeperGallon,y 29.3 25.5 21.9 13 18.6 (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Write the equation for the least-squares regression line. 9= x+ (Round the x ooetcientto ve decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, it appropriate. Choose the best interpretation for the slope. O A. The slope indicates the mean miles per gallon. O B. The slope indicates the ratio between the mean weight and the mean miles per gallon. The slope indicates the mean change in miles per gallon for an increase of 1 pound ln weight. The slope indicates the mean weight. 0 F. It is not appropriate to interpret the slope because it is not equal to zero. Choose the best interpretation for the y-intercept. O A. The y-intercept indicates the miles per gallon fora new car. 0 B. The y-lnteroept indicates the miles per gallon of the lightest car In the population. 0 C. The y-interoept indicates the mean miles per gallon for a car that weighs 0 pounds. 0 D. The y-intemept indicates the mean miles for a car that weighs 0 pounds. 0 E. itis not appropriate to interpret the yintercept because it does not make sense to talk about a car that weighs 0 pounds. to) Predict the miles per gallon ofcar D and compute the residual. Is the miles per gallon of this oer above average or below average for ears of this weight? A The predicted value is miles per gallon. (Round to two decimal places as needed.) The residue] is mes per gallon. (Round to two decimal places as needed.) is the value above or below average? 0 it is betow average. 0 it is above average. (:1) Draw the least-squares regression line on the scatter diagram of the data and label the residual. Which of the following represents the data with the residual shown in red

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