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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)

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) = a sin b(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 the regression capabilities of your graphing calculator.

B) Determine the average high monthly temperature in Duluth

MonthDeg. F.MonthDeg. F.
Jan21July75
Feb26Aug74
Mar35Sept65
Apr46Oct52
May56Nov38
Jun66Dec25

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