The tables give the fractional part of a moon that is illuminated during a particular month.
(a) Plot the data for the month. (b) Use sine regression to determine a model for the data. (c) Graph the equation from part (b) together with the data on the same coordinate axes. Day 1 8 2 3 4 5 6 0.91 0.96 0.99 1.00 0.99 Fraction 0.84 7 9 10 11 12 13 14 15 0.96 0.92 0.86 0.79 0.70 0.62 0.52 0.42 0.33 Day 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Fraction 0.23 0.15 0.08 0.03 0.00 0.01 0.04 0.10 0.19 0.28 0.39 0.50 0.61 0.71 0.80