For the data below: J F M A M J J A S O N D 1992 852

Question: 12 For the data below:

	J	F	M	A	M	J	J	A	S	O	N	D
1992	852	644	603	345	152	46	14	24	74	301	564	822
1993	860	827	864	368	128	38	11	9	89	302	580	824
1994	1031	813	594	293	174	21	6	16	65	268	579	723
1995	826	767	543	366	168	46	13	11	97	239	598	862

a) Obtain the centered moving average for N = 4; for N = 12.

b) When N = 12 months, the centered moving average is relatively smooth compared to when N = 4. Aside from the fact that it includes a greater number of months at a time, is there any other reason why the moving average with N = 12 should be so smooth?

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