Essentials of Statistics; MathXL Valuepack Access Card (6-months) (5th Edition)
5th Edition
ISBN: 9780133954982
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 10.3, Problem 12BSC
Effects of Clusters Refer to the Minitab-generated
- a. Using the pairs of values for all 8 points, find the equation of the regression line.
- b. Using only the pairs of values for the 4 points in the lower left comer, find the equation of the regression line.
- c. Using only the pairs of values for the 4 points in the upper right comer, find the equation of the regression line.
- d. Compare the results from pans (a), (b), and (c).
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Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
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A222222222222233
Stir Rate
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Ammonium
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Table 3: Silver Powder Experiment from Exercise 13.23
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100
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Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Chapter 10 Solutions
Essentials of Statistics; MathXL Valuepack Access Card (6-months) (5th Edition)
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