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 A 2740 3045 3390 3870 4190 25.5 22.5 24.2 C Weight (pounds), x Miles per Gallon, y 19.2 14.4 a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. Vrite the equation for the least-squares regression line. Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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4.2.21
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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.
C
2740 3045 3390 3870 4190
25.5 22.5 24.2 19.2 14.4
Car
A
B
D
E
Weight (pounds), x
Miles per Gallon, y
(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.
(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)
Enter your answer in the edit fields and then click Check Answer.
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Transcribed Image Text:4.2.21 Question Help v 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. C 2740 3045 3390 3870 4190 25.5 22.5 24.2 19.2 14.4 Car A B D E Weight (pounds), x Miles per Gallon, y (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. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) Enter your answer in the edit fields and then click Check Answer. 6 parts remaining Clean All Check Answer
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