Consider the following data. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consu Reports (Vol. 62, No. 4). 32 47 23 40 34 52 17 21 14 28 45 18 25 13 29 y y 20 Given the least squares line ŷ = 42.6990 – 0.5867x: (a) Make a residual plot for the least-squares model. Be sure to plot the horizontal line at y = 0. y y 10f 10 5 a b -5 -5 20 30 40 50 60 20 30 40 50 60 10 10 5 C -5 -5 20 30 40 50 60 20 30 40 50 60

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Consider the following data. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No. 4).

Consider the following data. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer
Reports (Vol. 62, No. 4).
28
45
32
47
23
40
34
52
y
28
18
25
13
29
17
21
14
Given the least squares line ý = 42.6990 – 0.5867x:
(a) Make a residual plot for the least-squares model. Be sure to plot the horizontal line at y = 0.
y
y
10
10
5
a
b
-5
20
30
40
50
60
20
30
40
50
60
y
y
10
10
5
5
X
20
30
40
50
60
20
30
40
50
60
Transcribed Image Text:Consider the following data. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No. 4). 28 45 32 47 23 40 34 52 y 28 18 25 13 29 17 21 14 Given the least squares line ý = 42.6990 – 0.5867x: (a) Make a residual plot for the least-squares model. Be sure to plot the horizontal line at y = 0. y y 10 10 5 a b -5 20 30 40 50 60 20 30 40 50 60 y y 10 10 5 5 X 20 30 40 50 60 20 30 40 50 60
(b) Use the residual plot to comment about the appropriateness of the least squares model for these data.
O The residuals do not seem to be scattered randomly around the horizontal line at 0. There do not appear to be any outliers.
The residuals seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers.
O The residuals do not seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers.
O The residuals seem to be scattered randomly around the horizontal line at 0. There do not appear to be any outliers.
Transcribed Image Text:(b) Use the residual plot to comment about the appropriateness of the least squares model for these data. O The residuals do not seem to be scattered randomly around the horizontal line at 0. There do not appear to be any outliers. The residuals seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers. O The residuals do not seem to be scattered randomly around the horizontal line at 0. There do appear to be outliers. O The residuals seem to be scattered randomly around the horizontal line at 0. There do not appear to be any outliers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman