An article in Wear (Vol. 152, 1992, pp. 171181) presents data on the fretting wear of

Chapter 11, Problem 11-9

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An article in Wear (Vol. 152, 1992, pp. 171181) presents data on the fretting wear of mild steel and oil viscosity. Representative data follow, with x oil viscosity and y wear volume ( cubic millimeters). 10 4 y 110 113 75 94 x 35.5 43.0 40.5 33.0 y 240 181 193 155 172 x 1.6 9.4 15.5 20.0 22.0 (a) Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible? (b) Fit the simple linear regression model using least squares. Find an estimate of 2 . (c) Predict fretting wear when viscosity x 30. (d) Obtain the fitted value of y when x 22.0 and calculate the corresponding residual. 11-

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