The rate at which a cricket chirps depends on the temperature of the surrounding air. You can estimate the air temperature by counting chirps! Some data randomly selected from the study€™s data are provided in Table 45.

Let y be the number of chirps a cricket makes in 13 seconds when the temperature is x degrees Fahrenheit.
a. Construct a scatterplot.
b. Find the linear regression equation. Does the graph of the equation come close to the data points?
c. Predict the number of times a cricket will chirp in 13 seconds if it is 70°F.
d. Find the linear regression equation again, but this time treat y as the explanatory variable.
e. The researcher says that as a rough estimate, you can predict the current temperature by counting the number of chirps in 13 seconds and then adding 40 to the result. Write an equation for this rule of thumb. Compare the result to the equation you found in part (d).

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Table 45 Rates of Cricket Chirping Chirp Rate (number of chirps in 13 seconds) Temperature (oF) 65 74 59 62 50.75 78 28 37 24 13 16