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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

X
Y
1.6
240
9.4
181
15.5
193
20.0
155
22.0
172
35.5
110
43
113
40.5
75
33
94
Transcribed Image Text:X Y 1.6 240 9.4 181 15.5 193 20.0 155 22.0 172 35.5 110 43 113 40.5 75 33 94
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