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The article “The Role of Niche Breadth, Resource

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

Solution for problem 10SE 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 10SE

Problem 10SE

The article “The Role of Niche Breadth, Resource Availability and Range Position on the Life History of Butterflies” (A. Komonen, A. Grapputo, et al., Oikos, 2004:41-54) describes a study of several species of butterflies found in Finland. The following table presents the mean wingspan (in mm) and the flight period, defined as the mean number of days of appearance in the winged state, for 23 species in the family Lycaenidae.

Wingspan

Flight

Period

Wingspan

Flight

Period

Wingspan

Flight

Period

Wingspan

Flight

Period

35.5

19.8

25.9

32.5

28.8

25.9

28.1

18.5

30.6

17.3

31.3

27.5

35.9

23.1

25.9

32.3

30.0

27.5

23.0

31.0

23.0

53.1

28.8

29.1

32.3

22.4

26.3

37.4

24.6

38.8

31.4

37.0

23.9

40.7

23.7

22.6

28.1

36.5

28.5

33.7

27.7

18.3

27.1

23.1

25.4

24.0

 

 

a. Compute the least-squares line for predicting the flight period (y) from wingspan (x).

b. Compute 95% confidence intervals for β0 and β1.

c. Two butterflies differ in wingspan by 2 mm. By how much do you estimate that their flight periods will differ?

d. Can you conclude that species of butterflies with larger wingspans have shorter flight periods on average? Explain.

e. Can you conclude that the mean flight period for butterflies with a wingspan of 30 mm is less than 28 days?

f. A certain butterfly species has a wingspan of 28.5 mm. Find a 95% prediction interval for its flight period.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 7, Problem 10SE is Solved
Step 3 of 3

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

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “The article “The Role of Niche Breadth, Resource Availability and Range Position on the Life History of Butterflies” (A. Komonen, A. Grapputo, et al., Oikos, 2004:41-54) describes a study of several species of butterflies found in Finland. The following table presents the mean wingspan (in mm) and the flight period, defined as the mean number of days of appearance in the winged state, for 23 species in the family Lycaenidae.WingspanFlightPeriodWingspanFlightPeriodWingspanFlightPeriodWingspanFlightPeriod35.519.825.932.528.825.928.118.530.617.331.327.535.923.125.932.330.027.523.031.023.053.128.829.132.322.426.337.424.638.831.437.023.940.723.722.628.136.528.533.727.718.327.123.125.424.0 a. Compute the least-squares line for predicting the flight period (y) from wingspan (x).________________b. Compute 95% confidence intervals for ?0 and ?1.________________c. Two butterflies differ in wingspan by 2 mm. By how much do you estimate that their flight periods will differ?________________d. Can you conclude that species of butterflies with larger wingspans have shorter flight periods on average? Explain.________________e. Can you conclude that the mean flight period for butterflies with a wingspan of 30 mm is less than 28 days?________________f. A certain butterfly species has a wingspan of 28.5 mm. Find a 95% prediction interval for its flight period.” is broken down into a number of easy to follow steps, and 169 words. Since the solution to 10SE from 7 chapter was answered, more than 363 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 10SE from chapter: 7 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: Flight, wingspan, period, butterflies, species. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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