Fall 2008
Homework #4
(10 points)
(due Friday, September 26, by 3:00 p.m.)
1.
Hogg and Ledolter report on an engineer in a textile mill who studies the effects
of temperature and time in a process involving dye on the brightness of a
synthetic fabric
(
brightness is measured on a 50point scale
). Three observations
were taken at each combination of temperature and time.
Temperature
Time (cycles)
350
°
F
375
°
F
400
°
F
40
38, 32, 30
37, 35, 40
36, 39, 43
50
40, 45, 36
39, 42, 46
39, 48, 47
Construct the ANOVA table and conduct tests for the interaction first and then, if
appropriate, the main effects. Use
α
= 0.05 for each test.
[
R. V. Hogg and J.
Ledolter,
Applied Statistics for Engineers and Physical Scientists
, 2nd ed.
(
New
York: Macmillan, 1992
).
]
2.
The upper management at
Initech
wants to examine the relationship between the
number of years on the job (
x
) and the number of TPS reports produced (
y
) for
the middlemanagement employees. The data are as follows:
x
y
1
7
2
4
3
13
3
10
4
10
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 Spring '10
 Stepanov
 Least Squares, Regression Analysis, Yi, regression line, leastsquares regression line, R. V. Hogg

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