Data Analysis: MeteorologyThe table shows the monthly normal temperatures (in degrees Fahr...

Data Analysis: Meteorology

The table shows the monthly normal temperatures (in degrees Fahrenheit) for selected months in New York City (N) and Fairbanks, Alaska (F) . (Source: National Climatic Data Center)

(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.

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(b) Use the models from part (a) to the find the monthly normal temperatures for the two cities in February, March, May, June, August, September, and November.

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(c) Compare the models for the two cities.