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.

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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 37E: Find the positive geometric mean between 4 and 64.

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Question

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

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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