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Stat/ME 424, Spring 2008
Problems and Solutions for Practice Exam for Midterm I
•
This is a closed book exam, except for three pages of notes.
•
You are allowed to use calculators.
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There are four problems in this exam. In order to get full credit, please answer all problems.
•
Please put your answers in a blue book with your name on the blue book cover.
Problem 1
1. Fill up the blanks in the ANOVA table for a multiple linear regression model.
Analysis of Variance
Source
DF
Sum of Square
Mean Square
FStatistic
P value
Regression
5
25108.1
0.000
Residual Error
Total
124
38252.8
2. What is the estimate of
σ
2
, model variance ?
3. Calculate the
R
2
. Is the adjusted
R
2
larger or smaller than the
R
2
?
4. Is there a systematic pattern in the residual plot? If so, explain the pattern.
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Residual vs. Fitted
g$fitted
g$residual
Problem 2
The Madison Symphony has tried three approaches (denoted by
A
,
B
and
C
) to solicit donations
from the residents in Madison. The following ANOVA table is given for the data :
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 Spring '08
 peter

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