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The article “Estimating Population Abundance in Plant

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 11SE Chapter 7

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 11SE

Problem 11SE

The article “Estimating Population Abundance in Plant Species with Dormant Life-Stages: Fire and the Endangered Plant Grevillea caleve 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 areas (in nr) for several patches containing the plant.

Area

Population

Area

Population

Area

Population

Area

Population

3739

3015

2521

707

2259

223

841

1720

5277

1847

213

113

81

15

1500

300

400

17

11958

1392

33

18

228

31

345

142

1200

157

1254

229

228

17

392

40

12000

711

1320

351

10

4

7000

2878

10880

74

1000

92

 

 

a. Compute the least-squares line for predicting population (y) from area (x).

b. Plot the residuals versus the fitted values. Does the model seem appropriate?

c. Compute the least-squares line for predicting ln y from ln.x.

d. Plot the residuals versus the fitted values. Does the model seem appropriate?

e. Using the more appropriate model, construct a 95% prediction interval for the population in a patch whose area is 3000 m2.

Step-by-Step Solution:
Step 1 of 3

CES210:ConservationandEnvironmentalScience ChapterSix: Population CaseStudy:Fishing to Extinction - Populationbiology, thescience of modeling changes in species abundance,is key to understandingthis controversy - Populationbiology allows us to identify overfishing,to modelsustainablecatch rates, and to warn abouthowquickly the species might disappearat current capturerates...

Step 2 of 3

Chapter 7, Problem 11SE is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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