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. yxyx 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? (b) Calculate the least squares estimate of the slope. ß, = i (Round your answer to 3 decimal places.) (Round your answer to 3 decimal (c) Calculate the least squares estimate of the intercept./ = places.) (d) Calculate an estimate of o2. (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 67 decibels. μYxO (Round your answer to 3 decimal places.)
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. yxyx 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? (b) Calculate the least squares estimate of the slope. ß, = i (Round your answer to 3 decimal places.) (Round your answer to 3 decimal (c) Calculate the least squares estimate of the intercept./ = places.) (d) Calculate an estimate of o2. (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 67 decibels. μYxO (Round your answer to 3 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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
у х
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?
(b) Calculate the least squares estimate of the slope. ß, =
i
(Round your answer to 3 decimal places.)
(Round your answer to 3 decimal
(c) Calculate the least squares estimate of the intercept./ =
places.)
(d) Calculate an estimate of o2.
(Round your answer to 3 decimal places.)
(e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 67 decibels.
μYXO
(Round your answer to 3 decimal places.)
ww](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6684c23c-8405-414e-825d-bce92746ac23%2Fed4622a7-336c-4b50-bf75-047aeb100cdd%2Fld294kv_processed.jpeg&w=3840&q=75)
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.
ух
у х
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?
(b) Calculate the least squares estimate of the slope. ß, =
i
(Round your answer to 3 decimal places.)
(Round your answer to 3 decimal
(c) Calculate the least squares estimate of the intercept./ =
places.)
(d) Calculate an estimate of o2.
(Round your answer to 3 decimal places.)
(e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 67 decibels.
μYXO
(Round your answer to 3 decimal places.)
ww
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