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.DateMoon Phasex: Days since Jan. 8y: The Amount of Moon VisibleJan 8New00Jan 151st quarter70.5Jan 22Full131Jan 30Last quarter220.5Feb 7New300Feb 141st quarter370.5Feb 21Full441Feb 29Last quarter520.5Mar 7New590Mar 141st quarter660.5Using 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. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent.a.38% of the moon will be visibleb.9% of the moon will be visiblec.35% of the moon will be visibled.99% of the moon will be visible