Answered: 3 20 25 30 Predicted (mpg) 10 -8…

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

Fuel economy A consumer organization has reported

test data for 50 car models. We will examine the asso-
ciation between the weight of the car (in thousands of

pounds) and the fuel efficiency (in miles per gallon).
Here are the scatterplot, summary statistics, and
regression analysis:Variable Count Mean StdDev
MPG 50 25.0200 4.83394
wt/1000 50 2.88780 0.511656
Dependent variable is: MPG
R-squared = 75.6%
s = 2.413 with 50 - 2 = 48 df
Variable Coefficient SE(Coeff) t-ratio P-value
Intercept 48.7393 1.976 24.7 ...0.0001
Weight -8.21362 0.6738 -12.2 ...0.0001

a) Is there strong evidence of an association between the

weight of a car and its gas mileage? Write an appropri-
ate hypothesis.

b) Are the assumptions for regression satisfied?
c) Test your hypothesis and state your conclusion.

3
20
25
30
Predicted (mpg)
10
-8
Residuals (mpg)
Residuals (mpg)
Count

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