3. In lecture we saw data supporting the idea that crickets chirping could be used as a type of thermometer, albeit a crude one. The lecture notes presented the classic folk "cricket thermometer," formalized by Dolbear, which satisfied the linear relationship:

T = N/4 + 40,

where T and N were the temperature and the number of chirps/minute, respectively. The Bessey brothers later made careful measurements and did a linear least squares best fit to their data and obtained the linear relationship

T = 0.21 N + 40.4.

a. Below are recordings of four crickets chirping at different temperatures. In this question, you time the number of chirps/minute of the four crickets. Make a table listing the number of chirps/minute for each of the crickets along with the predicted temperatures from each of the models above.

b. Create a graph of each of the models (one graph with both models), showing clearly the data points that you gathered in Part a.

c. Give the units of the coefficients (slope and intercept) in each of the equations above.

d. Suppose that the error in counting chirps/min is < 10 chirps/min. Find the range of temperatures for each of the crickets from your data for each of the models, taking into account this source of error. (Thus, if you found N = 92 for one cricket, then give the possible temperatures for N ranging between 82 and 102 with each of the models.) Use Word to create a table that gives the range of temperatures that each model gives for each cricket. Write a brief paragraph discussing the accuracies of the models from your lab experience, what are the major sources of error (list at least two), and how much agreement the different models have in predicting the temperature.