The table shows the average high temperatures (in degrees Fahrenheit) in Boston, Massachusetts (B), and Fairbanks, Alaska (F), for selected months in 2015.

(a) Use the regression feature of a graphing utility to find a model of the form y = a sin(bt + c) + d for each city. Let t represent the month, with t = 1 corresponding to January.
(b) Use the models from part (a) to estimate the monthly average high temperatures for the two cities in February, April, May, July, September, October, and December.
(c) Use a graphing utility to graph both models in the same viewing window. Compare the temperatures for the two cities.

Boston, Fairbanks, Month B January 33 March 41 31 June 72 71 August 62 83 November 56 17 Spreadsheet at LarsonPrecalculus.com