Question
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
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 25.9 31.3 23.0 26.3 23.7 27.1 28.1 25.9 28.8 31.4 28.5 Lifespan 19.8 17.3 27.5 Lifespan 32.5 27.5 31.0 37.4 22.6 23.1 18.5 32.3 29.1 37.0 33.7 Wingspan 35.5 30.6 30.0 32.3 23.9 27.7 28.8 35.9 40.7 18.3 25.9 24.6 28.1 24.0 38.8 36.5 a. Compute and interpret the correlation coefficient b. Compute the least-squares regression line for predicting the lifespan from the wingspan c. Interpret the y-intercept in the context of the problem d. Interpret the slope of the line in the context of the problem e. If the wingspans of two butterflies differ by 2 millimeters, by how much would you predict their lifespans to differ? f. Predict the lifespan for a butterfly whose wingspan is 28.5 millimeters. g. Predict the lifespan for a butterfly whose wingspan is 43.2 millimeters
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