21. Butterfly wings: Do larger butterflies live longer? The wingspan (in millimeters) and the lifespan in the adult state (in days) were measured for 22 species of butterfly. Following are the results. Wingspan Lifespan 32.5 27.5 31.0 37.4 22.6 23.1 18.5 32.3 29.1 37.0 33.7 Wingspan Lifespan 35.5 30.6 30.0 32.3 23.9 27.7 28.8 35.9 25.4 24.6 28.1 25.9 31.3 23.0 26.3 23.7 27.1 28.1 19.8 17.3 27.5 22.4 40.7 18.3 25.9 23.1 24.0 38.8 25.9 28.8 31.4 28.5 36.5 Source: Oikos Journal of Ecology 105:41-54 a. Compute the least-squares regression line for predicting lifespan (y) from wingspan (x). b. Construct a 99% confidence interval for the slope. c. Test H P3D0 versus H:A<0.Can you conclude that wingspan is useful in predicting lifespan? Use the a = level of significance. 0.05

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21. Butterfly wings: Do larger butterflies live longer? The
wingspan (in millimeters) and the lifespan in the adult state (in
days) were measured for 22 species of butterfly. Following are
the results.
Vin
35.5
30.6
30.0
32.3
23.9
27.7
Wingspan
Lifespan
Wingspan
Lifespan
19.8
17.3
27.5
22.4
40.7
18.3
25.9
23.1
24.0
38.8
36.5
Source: Oikos Journal of Eology 105:41--54
25.9
31.3
23.0
26.3
23.7
27.1
28.1
25.9
28.8
31.4
28.5
32.5
27.5
31.0
37.4
22.6
23.1
18.5
35.9
25,4
24.6
28.1
32.3
29.1
37.0
33.7
a. Compute the least-squares regression line for predicting
lifespan (y) from wingspan (x).
b. Construct a 99% confidence interval for the
slope.
c. Test H B =0 versus H 6 <0, Can you conclude that
wingspan is useful in predicting lifespan? Use the a 0.05
level of significance.
d. Do larger butterflies tend to live for a longer or shorter time
than smaller butterflies! Explain,
Transcribed Image Text:21. Butterfly wings: Do larger butterflies live longer? The wingspan (in millimeters) and the lifespan in the adult state (in days) were measured for 22 species of butterfly. Following are the results. Vin 35.5 30.6 30.0 32.3 23.9 27.7 Wingspan Lifespan Wingspan Lifespan 19.8 17.3 27.5 22.4 40.7 18.3 25.9 23.1 24.0 38.8 36.5 Source: Oikos Journal of Eology 105:41--54 25.9 31.3 23.0 26.3 23.7 27.1 28.1 25.9 28.8 31.4 28.5 32.5 27.5 31.0 37.4 22.6 23.1 18.5 35.9 25,4 24.6 28.1 32.3 29.1 37.0 33.7 a. Compute the least-squares regression line for predicting lifespan (y) from wingspan (x). b. Construct a 99% confidence interval for the slope. c. Test H B =0 versus H 6 <0, Can you conclude that wingspan is useful in predicting lifespan? Use the a 0.05 level of significance. d. Do larger butterflies tend to live for a longer or shorter time than smaller butterflies! Explain,
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