Sample Problem An article in the Journal of Soundand Vibration(1991, Vol. 151, pp. 383-394) described a study investigating the relationship between noise exposure and hypertension. The following data are 5 representative of those reported in the article. x represents the sound pressure level in decibels andy represents the blood pressure rise in milli meters of mercury a. Drawa scatter diagram of y (blood pressure rise in milli meters of mercury) versusx (sound pressure level in decibels). b. Fit the simple linear regression model using least squares. c. Find an estimate of the variance o 2

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Sample Problem An article in the Journal of Soundand Vibration (1991, Vol. 151, pp. 383-394) described a
study investigating the relationshipbetween noise exposure and hypertension.
The following data are 5 representative of those reported in the article.x represents the sound pressure level
in decibels andy represents the blood pressure rise in milli meters of mercury
a. Drawa scatter diagram of y (blood pressure rise in milli meters of mercury) versusx (sound pressure level
in decibels).
b. Fit the simple linear regression model using least squares.
c. Find an estimate of the variance o 2
d. Find the predicted mean rise in blood pressure levelassociated with a sound pressure level of 85 decibels
e. Calculate the coefficient of determination for this modeland provide an interpretation.
60
63
65
70 | 70 | 70| 80
90
80 | 80
y
1
1
5
1
4
6.
85 89 | 90 90
90 90 | 94 | 100
100
100
y
4
6.
8
4
9.
7
6.
Transcribed Image Text:Sample Problem An article in the Journal of Soundand Vibration (1991, Vol. 151, pp. 383-394) described a study investigating the relationshipbetween noise exposure and hypertension. The following data are 5 representative of those reported in the article.x represents the sound pressure level in decibels andy represents the blood pressure rise in milli meters of mercury a. Drawa scatter diagram of y (blood pressure rise in milli meters of mercury) versusx (sound pressure level in decibels). b. Fit the simple linear regression model using least squares. c. Find an estimate of the variance o 2 d. Find the predicted mean rise in blood pressure levelassociated with a sound pressure level of 85 decibels e. Calculate the coefficient of determination for this modeland provide an interpretation. 60 63 65 70 | 70 | 70| 80 90 80 | 80 y 1 1 5 1 4 6. 85 89 | 90 90 90 90 | 94 | 100 100 100 y 4 6. 8 4 9. 7 6.
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