Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763699
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 4.2, Problem 17AYU
NW An Unhealthy Commute (Refer to Problem 25, Section 4.1.) The following data represent commute times (in minutes) and score on a well-being survey.
| Commute Time (minutes), x | Gallup-Healthways Well-Being Index Composite Score, y |
| 5 | 69.2 |
| 15 | 68.3 |
| 25 | 67.5 |
| 35 | 67.1 |
| 50 | 66.4 |
| 72 | 66.1 |
| 105 | 63.9 |
| Source: The Gallup Organization | |
- a. Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.
- b. Interpret the slope and y-intercept, if appropriate.
- c. Predict the well-being index of a person whose commute is 30 minutes.
- d. Suppose Barbara has a 20-minute commute and scores 67.3 on the survey. Is Barbara more “well-off” than the typical individual who has a 20-minute commute?
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Question 4
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replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
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Surface Area
100
8
14.68
0.40
100
8
15.18
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100
8
15.12
0.42
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6.66
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15.96
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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).
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Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
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data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
Chapter 4 Solutions
Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
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Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - NW Match the linear correlation coefficient to the...Ch. 4.1 - Match the linear correlation coefficient to the...Ch. 4.1 - Prob. 15AYUCh. 4.1 - Relation between Education and Birthrate? 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