Data Analysis  The table shows the average sales S (in millions of dollars) of an outerwea...

Data Analysis  The table shows the average sales S (in millions of dollars) of an outerwear manufacturer for each month t, where t = 1 represents January.

(a) Create a scatter plot of the data.

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(b) Find a trigonometric model that fits the data. Graph the model with your scatter plot. How well does the model fit the data?

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(c) What is the period of the model? Do you think it is reasonable given the context? Explain your reasoning.

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(d) Interpret the meaning of the model’s amplitude in the context of the problem.