Data Analysis  The numbers of hours H of daylight in Denver, Colorado, on the 15th of each...

Data Analysis  The numbers of hours H of daylight in Denver, Colorado, on the 15th of each month are: 1(9.67), 2(10.72), 3(11.92), 4(13.25), 5(14.37), 6(14.97), 7(14.72), 8(13.77), 9(12.48), 10(11.18), 11(10.00), 12(9.38). The month is represented by t, with t = 1 corresponding to January. A model for the data is

(a) Use a graphing utility to graph the data points and the model in the same viewing window.

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(b) What is the period of the model? Is it what you expected? Explain.

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(c) What is the amplitude of the model? What does it represent in the context of the problem? Explain.