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.

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 H0: β1 = 0 versus H1: β1

Can you conclude that wingspan is useful in predicting lifespan? Use the α = 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:

Wingspan Lifespan Wingspan Lifespan 35.5 19.8 25.9 32.5 30.6 17.3 31.3 27.5 30.0 27.5 23.0 31.0 32.3 22.4 26.3 37.4 23.9 40.7 23.7 22.6 27.7 18.3 27.1 23.1 28.8 25.9 28.1 18.5 35.9 23.1 25.9 32.3 25.4 24.0 28.8 29.1 24.6 38.8 31.4 37.0 28.1 36.5 28.5 33.7