# regression

posted by on .

You have heard about but never took seriously the Old Farmerâ€™s Almanac claim that you can tell the temperature of the air by counting the number of cricket chirps in 1 minute. You decide to test the claim so one night when the temperature was 76 degrees you counted the number of chirps of a cricket and found it was 855 in one minute. Not knowing the relationship between degrees and chirps, you decide to develop your own. You purchase the finest thermometer and chirp recording device and over the next few months you develop the following data:

Chirps in
Temperature 1 minute
76 855
70 825
90 1020
84 924
76 868
89 952
83 912
72 845
80 902

a) What is the linear regression equation that expresses the relationship between Temperature and Cricket Chirps in one minute (Temperature is the dependent variable)?

b) Is the equation statistically significant at alpha = 0.05?

c) What percentage of the variation in temperature is explained by the number of cricket chirps in one minute?

d) If one night you counted 890 cricket chirps in one minute, what do you believe the temperature to be?