Question: 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

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) 20.0 16.0 19.8 18.4 17.1

(a) Find the equation for the least squares line for 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.

(c) 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 sec.

(d) Find the correlation coefficient.

Temperature F (x) Chirps per Second (y) 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1 15.4 16.2 15.0 17.2 16.0 17.0 14.4 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0 69.4 83.3 79.6 82.6 80.6 83.5 76.3

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