Data Analysis: Meteorology The times of sunset (Greenwich Mean Time) at 40 north

Chapter 4, Problem 98

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Data Analysis: Meteorology The times of sunset (Greenwich Mean Time) at 40 north latitude on the 15th of each month are: 1(16:59), 2(17:35), 3(18:06), 4(18:38), 5(19:08), 6(19:30), 7(19:28), 8(18:57), 9(18:09), 10(17:21), 11(16:44), 12(16:36). The month is represented by with corresponding to January. A model (in which minutes have been converted to the decimal parts of an hour) for the data is (a) Use a graphing utility to graph the data points and the model in the same viewing window. (b) What is the period of the model? Is it what you expected? Explain. (c) What is the amplitude of the model? What does it represent in the model? Explain. 9

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