An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between noise exposure and hypertension. The following data are representative of those reported in the article. у х у х 1 60 5 85 O 63 4 89 1 65 6 90 2 70 8 9O 5 70 4 9O 1 70 5 9O 4 80 7 94 6 90 9 100 2 80 7 100 3 80 6 100 Fit a linear regression model relating blood pressure rise in millimeters of mercury (y) to sound pressure level in decibels (x) using least squares.

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
Question

1

An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between
noise exposure and hypertension. The following data are representative of those reported in the article.
у х
у х
1 60 5 85
O 63 4 89
1 65 6 90
2 70 8 9O
5 70 4 9O
1 70 5 9O
4 80 7 94
6 90 9 100
2 80 7 100
3 80 6 100
Fit a linear regression model relating blood pressure rise in millimeters of mercury (y) to sound pressure level in decibels (x) using least
squares.
Transcribed Image Text:An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between noise exposure and hypertension. The following data are representative of those reported in the article. у х у х 1 60 5 85 O 63 4 89 1 65 6 90 2 70 8 9O 5 70 4 9O 1 70 5 9O 4 80 7 94 6 90 9 100 2 80 7 100 3 80 6 100 Fit a linear regression model relating blood pressure rise in millimeters of mercury (y) to sound pressure level in decibels (x) using least squares.
(a) Draw a scatter diagram of y versus x (using statistical software). Does a simple linear regression model seem reasonable in this
situation?
(b) Calculate the least squares estimate of the slope. B, =
i
(Round your answer to 3 decimal places.)
(c) Calculate the least squares estimate of the intercept. Bo =i
(Round your answer to 3 decimal places.)
(d) Calculate an estimate of o?.
i
(Round your answer to 3 decimal places.)
(e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 92 decibels.
i
(Round your answer to 3 decimal places.)
Transcribed Image Text:(a) Draw a scatter diagram of y versus x (using statistical software). Does a simple linear regression model seem reasonable in this situation? (b) Calculate the least squares estimate of the slope. B, = i (Round your answer to 3 decimal places.) (c) Calculate the least squares estimate of the intercept. Bo =i (Round your answer to 3 decimal places.) (d) Calculate an estimate of o?. i (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 92 decibels. i (Round your answer to 3 decimal places.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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