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.

(a) Draw a scatter diagram of y (blood pressure rise in millimeters of mercury) versus x (sound pressure level in decibels). Does a simple linear regression model seem reasonable in this situation?

(b) Fit the simple linear regression model using least squares.
Find an estimate of 2.

(c) Find the predicted mean rise in blood pressure level associated with a sound pressure level of 85 decibels.

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0 1 2 5 1 4 6 2 3 X 60 63 65 70 70 70 80 90 80 80 y5 4 6 8 4 5 7 9 7 6 x 85 89 90 90 90 90 94 100 100 100