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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. 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.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
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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. 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
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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