An article in Wear (1992, Vol. 152, pp. 171–181) presents

Chapter 11, Problem 11E

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An article in Wear (1992, Vol. 152, pp. 171–181) presents data on the fretting wear of mild steel and oil viscosity. Representative data follow with \(\mathrm{x}=\text{oil viscosity }\) and y=\text{wear volume }\left(10^{-4}\text{ cubic millimeters }\right).

Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible?Fit the simple linear regression model using least squares.Find an estimate of \(\sigma^{2}\).Predict fretting wear when viscosity \(x=30\).Obtain the fitted value of y when \(x=22.0\) and calculate the corresponding residual.

Equation Transcription:

Text Transcription:

x=oil viscosity

y=wear volume (10^-4 cubic millimeters)

sigma^2

x=30

x=22.0

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