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Exercise 4
A study was performed on the wear of a bearing
y
and its relationship to
x
1
= oil viscosity and
x
2
= load.
The following data was obtained:
u
³´
³µ
³¶
293
1
1.6
851
230
1
15.5
816
172
1
22
1058
91
1
43
1201
113
1
33
1357
125
1
40
1115
Use the Multiple Linear Regression output from Excel (below) to answer the following questions.
n
:= 6
y_
:= mean
y
=
512
3
x1_
:= mean
x1
=
517
20
x2_
:= mean
x2
=
3199
3
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View Full Document(a) Fit a multiple linear regression model to this data (using the Excel output).
Output from TI89 Titanium MultReg function:
β
0
:= 383.8
β
1
:= 3.638
β
2
:= 0.117
y
:=
β
0
+
β
1
⋅
x
1
+
β
2
⋅
x
2
=
3.638
⋅
x
1
 .117
⋅
x
2
+ 383.8
(b) Estimate
2
σ
and the standard errors of the regression coefficients (again, using the output).
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 Spring '07
 JosephGeunes

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