Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and are also shown here. The following data give a measure of pollution (micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographic regions of the United States: Cost of Medical Region Pollution Care
Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and are also shown here. The following data give a measure of pollution (micrograms of particulate matter per cubic meter of air) and the cost of medical care per person over age 65 for six geographic regions of the United States: Cost of Medical Region Pollution Care
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
Related questions
Question
100%
please answer a
![PROBLEM 5:38
Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and
are also shown here. The following data give a measure of pollution (micrograms of particulate
matter per cubic meter of air) and the cost of medical care per person over age 65 for six
geographic regions of the United States:
Cost of
Medical
Care
Region
Pollution
North
30.0
915
Upper South
Deep South
West South
31.8
891
32.1
968
26.8
972
Big Sky
30.4
952
West
40.0
899
The equation of the least-squares regression line for this data set is,
where y = 1082.2 - 4.691 ! medical cost and x! pollution.
a. Compute the six residuals.
b. What is the value of the correlation coefficient for this data set? Does the value of r indicate
that the linear relationship between pollution and medical cost is strong, moderate, or weak?
Explain.
c. Construct a residual plot. Are there any unusual features of the plot?
d. The observation for the West, (40.0, 899), has an x value that is far removed from the other
x values in the sample. Is this observation influential in determining the values of the slope
and/or intercept of the least-squares line? Justify your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff09e1abc-98f6-4a48-9e3b-c49a30bf3608%2Fbeb31200-65fb-410f-9f1f-ac5abe32d423%2Fwbi26m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM 5:38
Data on pollution and cost of medical care for elderly people were given in Exercise 5.17 and
are also shown here. The following data give a measure of pollution (micrograms of particulate
matter per cubic meter of air) and the cost of medical care per person over age 65 for six
geographic regions of the United States:
Cost of
Medical
Care
Region
Pollution
North
30.0
915
Upper South
Deep South
West South
31.8
891
32.1
968
26.8
972
Big Sky
30.4
952
West
40.0
899
The equation of the least-squares regression line for this data set is,
where y = 1082.2 - 4.691 ! medical cost and x! pollution.
a. Compute the six residuals.
b. What is the value of the correlation coefficient for this data set? Does the value of r indicate
that the linear relationship between pollution and medical cost is strong, moderate, or weak?
Explain.
c. Construct a residual plot. Are there any unusual features of the plot?
d. The observation for the West, (40.0, 899), has an x value that is far removed from the other
x values in the sample. Is this observation influential in determining the values of the slope
and/or intercept of the least-squares line? Justify your answer
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL