Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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. y x 1 60 5 85 0 63 4 89 1 65 6 90 2 70 8 90 5 70 4 90 1 70 5 90 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? yes (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. P, = (Round your answer to 3 decimal places.) (d) Calculate an estimate of o?. (Round your answer to 3 decimal places.) !! (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 90 decibels. (Round your answer to 3 decimal places.) aMsue Statistical Tables and Charts
Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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. y x 1 60 5 85 0 63 4 89 1 65 6 90 2 70 8 90 5 70 4 90 1 70 5 90 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? yes (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. P, = (Round your answer to 3 decimal places.) (d) Calculate an estimate of o?. (Round your answer to 3 decimal places.) !! (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 90 decibels. (Round your answer to 3 decimal places.) aMsue Statistical Tables and Charts
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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Transcribed Image Text:Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise.
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.
ух
1 60 5 85
0 63 4 89
1 65 6 90
2 70 8 90
5 70 4 90
1 70 5 90
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? yes
(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. P, =
(Round your answer to 3 decimal places.)
(d) Calculate an estimate of o?.
(Round your answer to 3 decimal places.)
(e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 90 decibels.
(Round your answer to 3 decimal places.)
aMsue
Statistical Tables and Charts
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