Class Test 2
Answer all questions. Tables are provided. Max marks 61 (will be taken as 60).
Question 1.
A multiple regression model y =
β
0
+
β
1
x
1
+
β
2
x
2
+
ε
is fitted using a sample of size 45.
Because of printer malfunction some of the results are not shown in the output. These are
indicated by letters a to l below. Fill in the missing results (three decimal places).
Predictor
Coeff
StdErr
t
Constant
a
3.51
2.03
x
1
21.6
b
4.73
x
2
12.5
7.61
c
Standard error = d
Rsq = e
ANOVA
Source of Variation
df
SS
MS
F
Regression
f
i
j
l
Error
g
388
k
Total
h
519
[12]
Question 2.
In a study of television viewing habits a multiple regression model is fitted based on a
random sample of 25 adults. The model is y =
β
0
+
β
1
x
1
+
β
2
x
2
+
β
3
x
3
+
ε
where
y = number of hours of TV watched last week
x
1
= age
x
2
= number of years of education
x
3
=
annual income (in R 1000s)
The output is shown below:
Predictor
Coeff
StdErr
t
Constant
22.3
10.70
2.084
x
1
0.41
0.19
2.158
x
2
0.29
0.13
2.231
x
3
0.12
0.03
4.000
Standard error = 4.51
Rsq = 34.8%
ANOVA
Source of Variation
df
SS
MS
F
Regression
3
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 Three '09
 JAMES
 Regression Analysis, 1%, 5%, 12 years, Histamine, $1 000

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