One classic application of correlation involves the association between the temperature and the number of times a cricket chirps in a minute. Listed below are the numbers of chirps in 1 min and the corresponding temperatures in °F:
Chirps in 1 min 882 1188 1104 864 1200 1032 960 900
Temperature (° F) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6
a. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using a = 0.05.
b. Is there a linear correlation between the number of chips in 1 min and the temperature?