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 y: The Amount of
Jan. 8
Moon Visible
Jan 8 New
JO
10
Jan 15 1st quarter
7
0.5
Jan 22 Full
13
1
Jan 30 Last quarter 22
10.5
Feb 7 New
30
0
Feb 14 1st quarter 37
10.5
Feb 21 Full
44
1
Feb 29 Last quarter 52
10.5
Mar 7 New
59
o
Mar 14 (1st quarter
66
0.5

Based on the data presented , the answer is that Yes, it show repeated and periodic behavior. and thus the data indicate that a sine regression is appropriate in this case.

What leads to a new moon phase?

This occurs as our Moon is said to orbits around Earth. the side of the moon that is facing the Sun is said to be illuminated due to the sun's brightness, just like when the Earth's daylight side is also said to be illuminated by the Sun.

We tend to have a “new Moon” only when our Moon is said to orbit around the Earth and thus moves it between Earth and the Sun.

See options below

Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case?

a. Yes, it shows repeated and periodic behavior.

b. Yes, it shows a curve increasing from left to right.

c. No, the points are random.

d. No, the points depict a parabola.

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