Cricket Chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per minute and y is a random variable representing temperature

(8F). These data are also available for download at the Online Study Center.

x 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1 y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Source: Reprinted by permission of the publisher from The Songs of Insects by George W. Pierce, Cambridge, Mass.: Harvard University Press.

Complete parts

(a) through (e), given Sx 5 249.8, Sy 51200.6, Sx2 5 4200.56, Sy2 5 96,725.86, Sxy 5 20,127.47, and r < 0.835.

(f) What is the predicted temperature when x 519 chirps per minute?

AppendixLO1