The phases of the moon are periodic and repetitive. a new moon occurs when no moon is visible to an observer on earth. during the first quarter, half of the side of the moon facing the earth is visible. during a full moon the entire side of the moon is visible. during the last quarter the other half of the side of the moon facing earth is visible. the u. s. naval observatory lists the following dates for phases of the moon in the year 2008. date moon phase x: days since jan. 8 y: the amount of moon visible jan 8 new 0 0 jan 15 1st quarter 7 0.5 jan 22 full 13 1 jan 30 last quarter 22 0.5 feb 7 new 30 0 feb 14 1st quarter 37 0.5 feb 21 full 44 1 feb 29 last quarter 52 0.5 mar 7 new 59 0 mar 14 1st quarter 66 0.5 a table with the months listed down the side and date, moon phase, x: days since jan 8, and y: the amount of moon visible across the using the information above, plot the data points and produce a sine regression model for the data. round a, b, c, and d to the nearest 0.001 a. y= 0.508 sin (.212x + 1.529) b. y= 0.508 sin (.212x -1.529) c. y= 0.508 sin (.212x -1.529) d. y= 0.512 sin (1.529x - .212)