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

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
Jun	66	Dec	25