72?: $178, $195, $201
78?: $180, $153, $164
a. Write down and estimate a simple linear regression model for predicting monthly bills, given your thermostat setting.
b. If you set your thermostat to 76?F next August, use your model to predict what your electric bill will be. Do you find this prediction plausible? Why or why not?
c. You decide that air conditioning is bad for you, so next August you set your thermostat to 86?F. Use your model to predict your electric bill. Do you find your prediction plausible? What practical aspects of the problem might lead you to doubt your prediction?
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