In: Statistics and Probability
A study was performed on wear of a bearing y and its relationship to x1 = oil viscosity and x2 = load. The following data was obtained.
| 
 Y  | 
 X1  | 
 X2  | 
| 
 293  | 
 1.6  | 
 851  | 
| 
 230  | 
 15.5  | 
 816  | 
| 
 172  | 
 22.0  | 
 1058  | 
| 
 91  | 
 43.0  | 
 1201  | 
| 
 113  | 
 33.0  | 
 1357  | 
| 
 125  | 
 40.0  | 
 1115  | 
Minitab results would be preferrable.
a) Fit a multiple linear regression model to these data.
b) Estimate ?2.
c) Predict wear in which x1 = 25 and x2 = 1000.
d) Test for significance of regression using ? = 0.05. What is the p-value for this test?
e) Find a 95% confidence interval and prediction interval when x1 = 25 and x2 = 1000.
f) Analyze R2.
g) Analyze the residuals.