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.)

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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 A B D E Weight (pounds), x Miles per Gallon, y 2545 3070 3375 3805 4250 24 32.6 24.5 24.6 18.2 (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.) (b) Interpret the slope and intercept, if appropriate. Choose the best interpretation for the slope. O A. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight. O B. The slope indicates the mean miles per gallon. O C. The slope indicates the ratio between the mean weight and the mean miles per gallon. O D. The slope indicates the mean weight. O E. It is not appropriate to interpret the…
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please show work
Report the equation of the regression line and interpret it in the context of the problem
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