Consider the following monthly observations for 5 years Year Jan Feb Mar Apr May
ID: 3221240 • Letter: C
Question
Consider the following monthly observations for 5 years Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 20 18 24 23 13 28 21 28 16 36 14 10 2 14 34 26 18 11 15 37 11 19 18 19 13 22 12 16 25 11 30 18 30 36 24 35 16 4 35 22 25 23 30 33 32 32 37 39 30 30 17 27 33 13 22 12 38 39 22 10 23 31 Click here for the Excel Data File a. Calculate the 12-month centered moving average. (Do not round intermediate calculations. Round your answers to 2 decimal places.) CMA: Year Month Jan 1 Feb 1 Mar 1 Apr May 1 Jun Ju 1 Aug Sep Oct Nov Dec 5 Feb Mar 5 Apr May 5 Jun Jul 5 AugExplanation / Answer
2nd row contains how each value is calculated
Year Month Value CMA Ratio to Moving Average Seasonality Indices
(Taken From Data) (Taken From Data) (Taken From Data) Taken Average for the period of 12 months Value/CMA Value/Yearly average
1 Jan 20
1 Feb 18
1 Mar 24
1 Apr 23
1 May 13
1 Jun 28
1 Jul 21 20.92 1.00 1.00
1 Aug 28 20.42 1.37 1.34
1 Sep 16 21.75 0.74 0.76
1 Oct 36 21.92 1.64 1.72
1 Nov 14 21.50 0.65 0.67
1 Dec 10 21.33 0.47 0.48
2 Jan 14 20.25 0.69 0.71
2 Feb 34 21.58 1.58 1.74
2 Mar 26 20.17 1.29 1.33
2 Apr 18 20.42 0.88 0.92
2 May 11 18.92 0.58 0.56
2 Jun 15 19.33 0.78 0.77
2 Jul 37 19.58 1.89 1.89
2 Aug 11 20.25 0.54 0.56
2 Sep 19 18.42 1.03 0.97
2 Oct 18 17.58 1.02 0.92
2 Nov 19 18.17 1.05 0.97
2 Dec 13 18.17 0.72 0.66
3 Jan 22 19.42 1.13 0.96
3 Feb 12 17.83 0.67 0.52
3 Mar 16 19.42 0.82 0.70
3 Apr 25 20.83 1.20 1.09
3 May 11 21.33 0.52 0.48
3 Jun 30 22.67 1.32 1.31
3 Jul 18 22.92 0.79 0.79
3 Aug 30 24.00 1.25 1.31
3 Sep 36 24.83 1.45 1.57
3 Oct 24 25.58 0.94 1.05
3 Nov 35 25.42 1.38 1.53
3 Dec 16 27.00 0.59 0.70
4 Jan 35 27.25 1.28 1.14
4 Feb 22 28.42 0.77 0.72
4 Mar 25 28.58 0.87 0.82
4 Apr 23 28.67 0.80 0.75
4 May 30 29.92 1.00 0.98
4 Jun 33 29.50 1.12 1.08
4 Jul 32 30.67 1.04 1.04
4 Aug 32 29.17 1.10 1.04
4 Sep 37 29.58 1.25 1.21
4 Oct 39 30.25 1.29 1.27
4 Nov 30 29.42 1.02 0.98
4 Dec 30 28.75 1.04 0.98
5 Jan 17 27.00 0.63 0.71
5 Feb 27 27.50 0.98 1.13
5 Mar 33 28.08 1.18 1.38
5 Apr 13 26.83 0.48 0.54
5 May 22 24.42 0.90 0.92
5 Jun 12 23.83 0.50 0.50
5 Jul 38 23.92 1.59 1.59
5 Aug 39 24.55 1.59 1.63
5 Sep 22 24.30 0.91 0.92
5 Oct 10 23.33 0.43 0.42
5 Nov 23 24.63 0.93 0.96
5 Dec 31 25.00 1.24 1.30