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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 x- oil viscosity and y - wear volume (10 cubic millimeters). y 240 181 193 155 172 110 113 75 94 1.6 94 15.5 20.0 22.0 35.5 43.0 40.5 33.0 Round your answers to two decimal places (e.g. 98.76). (a) Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible? O Yes O No (b) Fit the simple linear regression model using least squares. Find an estimate of o². Bo + B 1x Bo = i (c) Predict fretting wear when viscosityx- 30. (d) Obtain the fitted value of y whenx- 22.0 and calculate the corresponding residual. i e = 2.

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 x- oil viscosity and y - wear volume (10 cubic millimeters). y 240 181 193 155 172 110 113 75 94 1.6 94 15.5 20.0 22.0 35.5 43.0 40.5 33.0 Round your answers to two decimal places (e.g. 98.76). (a) Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible? O Yes O No (b) Fit the simple linear regression model using least squares. Find an estimate of o². Bo + B 1x Bo = i (c) Predict fretting wear when viscosityx- 30. (d) Obtain the fitted value of y whenx- 22.0 and calculate the corresponding residual. i e = 2.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 x- oil viscosity and y - wear volume (10 cubic millimeters). y 240 181 193 155 172 110 113 75 94 1.6 94 15.5 20.0 22.0 35.5 43.0 40.5 33.0 Round your answers to two decimal places (e.g. 98.76). (a) Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible? O Yes O No (b) Fit the simple linear regression model using least squares. Find an estimate of o². Bo + B 1x Bo = i (c) Predict fretting wear when viscosityx- 30. (d) Obtain the fitted value of y whenx- 22.0 and calculate the corresponding residual. i e = 2.
Transcribed Image Text: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 x- oil viscosity and y - wear volume (10 cubic millimeters). y 240 181 193 155 172 110 113 75 94 1.6 94 15.5 20.0 22.0 35.5 43.0 40.5 33.0 Round your answers to two decimal places (e.g. 98.76). (a) Construct a scatter plot of the data. Does a simple linear regression model appear to be plausible? O Yes O No (b) Fit the simple linear regression model using least squares. Find an estimate of o². Bo + B 1x Bo = i (c) Predict fretting wear when viscosityx- 30. (d) Obtain the fitted value of y whenx- 22.0 and calculate the corresponding residual. i e = 2.
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