Data Analysis: Meteorology  The table shows the maximum daily high temperatures in Las Veg...

Data Analysis: Meteorology  The table shows the maximum daily high temperatures in Las Vegas L and International Falls I (in degrees Fahrenheit) for month t, with t = 1 corresponding to January. (Source: National Climatic Data Center)

(a) A model for the temperatures in Las Vegas is

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Find a trigonometric model for International Falls.

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(b) Use a graphing utility to graph the data points and the model for the temperatures in Las Vegas. How well does the model fit the data?

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(c) Use the graphing utility to graph the data points and the model for the temperatures in International Falls. How well does the model fit the data?

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(d) Use the models to estimate the average maximum temperature in each city. Which term of the models did you use? Explain.

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(e) What is the period of each model? Are the periods what you expected? Explain.

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(f) Which city has the greater variability in temperature throughout the year? Which factor of the models determines this variability? Explain.