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2. The average high monthly temperature (in degrees Fahrenheit) in Duluth, Minnesota, is shown in the table. A scatterplot of the data is also given.

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2. The average high monthly temperature (in degrees Fahrenheit) in Duluth, Minnesota, is shown in the table. A scatterplot of the data is also given. a. Determine a function of the form f(x) = asinb(x - c) +d, where a, b, c, and d are constants, that models the data. Show the work necessary in determining the values. Do not use regression capabilities of your graphing calculator. b. Determine the average high monthly temperature in Duluth Month Deg. F Month Deg. F. Jan 21 July 75 Feb 26 Aug 74 Mar 35 Sept 65 Apr 46 Oct 52 May 56 Nov 38 June 66 Dec 25 12

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