# regression

posted by
**donna** 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?