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 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? no (b) Calculat yes squares estimate of the slope. ß, = (Round your answer to 3 decimal places.) (c) Calculate the least squares estimate of the intercept. Po = (Round your answer to 3 decimal places.) (d) Calculate an estimate of o %3D (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated witha sound pressure of 87 decibels. (Round your answer to 3 decimal places.)

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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
yx
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) Calculat
no
yes
squares estimate of the slope. ₁ =
(Round your answer to 3 decimal
i
(c) Calculate the least squares estimate of the intercept. Po =
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 87 decibels.
Άγιο
1
(Round your answer to 3 decimal places.)
(Round your answer to 3 decimal
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. y x yx 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) Calculat no yes squares estimate of the slope. ₁ = (Round your answer to 3 decimal i (c) Calculate the least squares estimate of the intercept. Po = 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 87 decibels. Άγιο 1 (Round your answer to 3 decimal places.) (Round your answer to 3 decimal
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
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?
(b) Calculate the least squares estimate of the slope. /₁ = 1
(Round your answer to 3 decimal places.)
(c) Calculate the least squares estimate of the intercept. B =
places.)
(Round your answer to 3 decimal
(d) Calculate an estimate of o².
i
(Round your answer to 3 decimal places.)
(e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 87 decibels.
YTO
(Round your answer to 3 decimal places.)
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. y x 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? (b) Calculate the least squares estimate of the slope. /₁ = 1 (Round your answer to 3 decimal places.) (c) Calculate the least squares estimate of the intercept. B = places.) (Round your answer to 3 decimal (d) Calculate an estimate of o². i (Round your answer to 3 decimal places.) (e) Obtain the predicted mean rise in blood pressure level associated with a sound pressure of 87 decibels. YTO (Round your answer to 3 decimal places.)
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