1. Temperature versus Cricket Chirps Crickets make a chirping noise by sliding their wings rapidly over each other. The following data list the temperature (in Fahrenheit) and the number of chirps per second for the striped ground cricket.
Chirps per Chirps per
Temperature Second Temperature Second
88.6 20.0 71.6 16.0
93.3 19.8 84.3 18.4
80.6 17.1 75.2 15.5
69.7 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) You will predict the number of chirps based on temperature . Draw a scatter plot for the data listed above.
(b) Compute the linear correlation coefficient between temperature and chirps per second.
(c) Find the least-squares regression line to predict chirps per second based on temperature. increase in temperature.
(e) Predict the chirps per second if it is 83.3 degrees.
(f) How much of the variation in chirps per second is due to its linear relationship with temperature?