Natural Science Biologists have observed a linear relationship between the temperature and the frequency with which a cricket chirps. The following data were measured for the striped ground cricket*:
Temperature °F (x) | Chirps per second (y) |
88.6 | 20.0 |
71.6 | 16.0 |
93.3 | 19.8 |
84.3 | 18.4 |
80:6 | 17.1 |
75.2 | 15.5 |
09.7 | 14.7 |
82.0 | 17.1 |
69.4 | 15.4 |
83.3 | 16.2 |
79.6 | 15.0 |
82.6 | 17.2 |
80.6 | 16.0 |
83.5 | 17.0 |
76.3 | 14.4 |
(a) Find the least-squares regression line that models the data.
(b) Use the results of part (a) to determine how many chirps per second you would expect to hear from the striped ground cricket if the temperature were 73°F.
(e) Use the results of part (a) to determine what the temperature is when the striped ground crickets are chirping at a rate of 18 times per second, (d) Find the correlation coefficient.
*Reprinted by permission of the publishers from The Songs of Insects by George W. Pierce. Cambridge, MA: Harvard University Press, copyright © 1948 by the Resident and Fellows of Harvard College.
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