Data Analysis The percent (in decimal form) of the moons

Chapter 4, Problem 4.5.77

(choose chapter or problem)

Data Analysis The percent (in decimal form) of the moons face that is illuminated on day of the year 2006, where represents January 1, is shown in the table. (Source: U.S. Naval Observatory) (a) Create a scatter plot of the data. (b) Find a trigonometric model for the data. (c) Add the graph of your model in part (b) to the scatter plot. How well does the model fit the data? (d) What is the period of the model? (e) Estimate the percent illumination of the moon on June 29, 2007.

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