Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Chapter 5.3, Problem 32E
a.
To determine
Create a
b.
To determine
Obtain an equation for the least-squares line.
c.
To determine
Find the predicted value of nitrogen retention for 0.06 gram of nitrogen intake.
d.
To determine
Obtain the residual for the observation (0.06, 0.01).
e.
To determine
Identify the potentially influential observation in the data set from the scatterplot in Part a.
Explain the reason the observation is potentially influential.
f.
To determine
Find the predicted value of nitrogen retention for 0.06 gram of nitrogen intake.
Compare this with the prediction in Part c.
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Fire and the Endangered Plant Grevillea caleye R Br." (T. Auld and J. Scott, Ecological
Management and Restoration, 2004:125-129) presents estimates of population sizes of a
certain rare shrub in areas burnt by fire. The following table presents population counts and
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345
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142
40
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2521
213
11958
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707
113
1392
157
12000
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74
2259
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33
18
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Compute the least-squares line for predicting population (y) from area (x).
Б.
a.
Plot the residuals versus the fitted values. Does the model seem appropriate?
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The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes.
Athlete
X-ray
Ultrasound
1
5.00
4.25
2
16.00
12.75
3
9.25
9.00
4
12.00
11.75
5
17.25
17.00
6
29.50
27.50
7
5.50
6.50
8
6.00
6.75
9
8.00
8.75
10
9.50
10.50
11
9.25
9.50
12
11.00
12.00
13
12.00
12.25
14
14.00
15.50
15
17.00
18.00
16
18.00
18.25
Use these data to estimate the difference in mean body fat percentage measurement for the two methods.
Use a confidence level of 95%. (Use ?d = ?X-ray − ?ultrasound. Round your answers to three decimal places.)
,
%
Interpret the interval in context.…
Chapter 5 Solutions
Introduction to Statistics and Data Analysis
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