11.38 A utility company of a major city reported the average utility bills listed in the table below for a standard-size home during the last year.

a Plot the points in a scatterplot.
b Use the methods of Chapter 9 to fit the model What do you conclude about the utility of this model?
c Hypothesize another model that might better describe the relationship between the average utility bill and average temperature. If you have access to a computer package, fit the model and test its utility.

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Average Monthly Month Temperature x (F) Average Utility Bill y (dollars) January 38 99 February 45 91 March 49 78 April 57 61 May 69 55 June 78 63 July 84 80 August 89 95 September 79 65 October 64 56 November 54 74 December 41 93