Data Analysis: Meteorology The table shows the maximum daily high temperatures for

Chapter 4, Problem 75

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Data Analysis: Meteorology The table shows the maximum daily high temperatures for Tallahassee and Chicago (in degrees Fahrenheit) for month with corresponding to January. (Source: National Climatic Data Center) (a) A model for the temperature in Tallahassee is given by Find a trigonometric model for Chicago. (b) Use a graphing utility to graph the data points and the model for the temperatures in Tallahassee. How well does the model fit the data? (c) Use a graphing utility to graph the data points and the model for the temperatures in Chicago. How well does the model fit the data? (d) Use the models to estimate the average maximum temperature in each city. Which term of the models did you use? Explain. (e) What is the period of each model? Are the periods what you expected? Explain. (f) Which city has the greater variability in temperature throughout the year? Which factor of the models determines this variability? Explain. 7