An article in Wear (Vol. 152, 1992, pp XXXXXXXXXXpresents data on the fretting wear of mild steel and oil viscosity. Representative data follow, with x = oil viscosity and y = wear volume (10 -4 mm 3...

An article in
Wear
(Vol. 152, 1992, 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^-4
mm³) :

1. Determine the coefficient of determination.

2. Test the significance of the correlation coefficient.

3. Find the simple linear regression model.

4. Predict fretting wear when viscosity is 30. Construct a prediction interval for the estimate.

5. Do you think Simple Linear Regression is the best relationship to use for this data? Test for Linear Transforms and come up with a conclusion.