Answered: A consumer advocacy group recorded…

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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Question

A consumer advocacy group recorded several variables on 140 models of cars.
The resulting information was used to produce two models for predicting miles per gallon in the city (mpg_city), one based on the engine displacement (in cubic inches) and a second one based the power of the engine (in horsepower).

Model 1: mpg vs engine displacement
The regression equation is
mpg_city=33.8 - 0.063*displacement
S = 3.26269
R-squared = 66.7%

Model 2: mpg vs horsepower
The regression equation is
mpg_city=32.2 - 0.0577*horsepower
S = 4.06386
R-squared = 49.7%

The displacement variable is better because it has a higher R-square (66.7%).The variable horsepower is better because it has a higher residual standard error (S=4.06386). The variable horsepower is better because it has a higher residual standard error (S=4.06386) and a lower R-square (49.7%).The displacement variable is better because it has a lower estimate for the residual standard error (S=3.26269).The displacement variable is better because it has a lower estimate for the residual standard error (S=3.26269) and a higher R-square (66.7%).

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