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 Lycnenidoe. Wingspan Flight Period 35.5 19.8 30.6 17.3 30.0 27.5 32.3 22.4 23.9 40.7 27.7 18.3 25.9 32.5 31.3 27.5 23.0 31.0 26.3 37.4 23.7 22.6 27.1 23.1 28.8 25.9 35.9 23.1 23.0 53.1 24.6 28.1 38.8 36.5 25.4 24.0 28.1 18.5 25.9 32.3 28.8 29.1 31.4 37.0 28.5 33.7 Compute the least-squares line for predicting the flight period (y) from wingspan (x). b. Compute 95% confidence intervals for B, and B,- a. 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. Can you conclude that the mean flight period for butterflies with a wingspan of 30 mm is less than 28 days? A certain butterfly species has a wingspan of 28.5 mm. Find a 95% prediction interval for its flight period. C. e. f.
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 Lycnenidoe. Wingspan Flight Period 35.5 19.8 30.6 17.3 30.0 27.5 32.3 22.4 23.9 40.7 27.7 18.3 25.9 32.5 31.3 27.5 23.0 31.0 26.3 37.4 23.7 22.6 27.1 23.1 28.8 25.9 35.9 23.1 23.0 53.1 24.6 28.1 38.8 36.5 25.4 24.0 28.1 18.5 25.9 32.3 28.8 29.1 31.4 37.0 28.5 33.7 Compute the least-squares line for predicting the flight period (y) from wingspan (x). b. Compute 95% confidence intervals for B, and B,- a. 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. Can you conclude that the mean flight period for butterflies with a wingspan of 30 mm is less than 28 days? A certain butterfly species has a wingspan of 28.5 mm. Find a 95% prediction interval for its flight period. C. e. f.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text: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 Lycnenidoe.
Wingspan
Flight Period
35.5
19.8
30.6
17.3
30.0
27.5
32.3
22.4
23.9
40.7
27.7
18.3
25.9
32.5
31.3
27.5
23.0
31.0
26.3
37.4
23.7
22.6
27.1
23.1
28.8
25.9
35.9
23.1
23.0
53.1
24.6
28.1
38.8
36.5
25.4
24.0
28.1
18.5
25.9
32.3
28.8
29.1
31.4
37.0
28.5
33.7
Compute the least-squares line for predicting the flight period (y) from wingspan (x).
b. Compute 95% confidence intervals for B, and B,-
a.
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.
Can you conclude that the mean flight period for butterflies with a wingspan of 30 mm
is less than 28 days?
A certain butterfly species has a wingspan of 28.5 mm. Find a 95% prediction interval
for its flight period.
C.
e.
f.
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