Data Analysis: Astronomy  The percent y (in decimal form) of the moon’s face illuminated o...

Data Analysis: Astronomy  The percent y (in decimal form) of the moon’s face illuminated on day x in the year 2014, where x = 1 represents January 1, is shown in the table. (Source: U.S. Naval Observatory)

(a) Create a scatter plot of the data.

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(b) Find a trigonometric model that fits the data.

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(c) Add the graph of your model in part (b) to the scatter plot. How well does the model fit the data?

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(d) What is the period of the model?

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(e) Estimate the percent of the moon’s face illuminated on March 12, 2014.