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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 and their miles per gallon. A B C D 2570 2895 3455 3695 Car ΕΞ 4235 Weight (pounds), x Miles per Gallon, y 28.7 23.5 24.4 20.5 17.6 (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. y=0x+0 X+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. OA. The slope indicates the mean weight. B. The slope indicates the mean miles per gallon. OC. The slope indicates the ratio between the mean weight and the mean miles per gallon.

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 and their miles per gallon. A B C D 2570 2895 3455 3695 Car ΕΞ 4235 Weight (pounds), x Miles per Gallon, y 28.7 23.5 24.4 20.5 17.6 (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. y=0x+0 X+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. OA. The slope indicates the mean weight. B. The slope indicates the mean miles per gallon. OC. The slope indicates the ratio between the mean weight and the mean miles per gallon.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
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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 and their miles per gallon. Car E 2 Weight (pounds), x Miles per Gallon, y Gallon, y 2570 2895 3455 3695 4235 28.7 23.5 24.4 20.5 17.6 (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. ŷ=0x+0 (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. OA. The slope indicates the mean weight. OB. The slope indicates the mean miles per gallon. OC. The slope indicates the ratio between the mean weight and the mean miles per gallon. 4 TANGIN:36 E gene R 9 G II O
Transcribed Image Text: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 and their miles per gallon. Car E 2 Weight (pounds), x Miles per Gallon, y Gallon, y 2570 2895 3455 3695 4235 28.7 23.5 24.4 20.5 17.6 (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. ŷ=0x+0 (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. OA. The slope indicates the mean weight. OB. The slope indicates the mean miles per gallon. OC. The slope indicates the ratio between the mean weight and the mean miles per gallon. 4 TANGIN:36 E gene R 9 G II O
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