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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 22 Oct 2022 10:28:53 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2022/Oct/22/t1666428736tptam9trlqu0955.htm/, Retrieved Sat, 16 May 2026 21:06:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319748, Retrieved Sat, 16 May 2026 21:06:19 +0000
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Original text written by user:
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Estimated Impact282
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-       [Classical Decomposition] [] [2022-10-22 08:28:53] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1.1
2.6
3.6
6
9.5
13.8
14.7
22.4
18
17
16.5
14.4
14.3
18.2
18
24
32.3
41.4
39.9
56
42
37.4
34.5
28.8
27.5
33.8
32.4
42
55.1
69
65.1
89.6
66
57.8
52.5
43.2
40.7
49.4
46.8
60
77.9
96.6
90.3
123.2
90
78.2
70.5
57.6
53.9
65
61.2
78
100.7
124.2
115.5
156.8
114
98.6
88.5
72
67.1
80.6
75.6
96
123.5
151.8
140.7
190.4
138
119
106.5
86.4
80.3
96.2
90
114
146.3
179.4
165.9
224
162
139.4
124.5
100.8
93.5
111.8
104.4
132
169.1
207
191.1
257.6
186
159.8
142.5
115.2
106.7
127.4
118.8
150
191.9
234.6
216.3
291.2
210
180.2
160.5
129.6
119.9
143
133.2
168
214.7
262.2
241.5
324.8
234
200.6
178.5
144




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319748&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319748&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319748&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11.1NANA-36.7583NA
22.6NANA-25.7083NA
33.6NANA-33.1083NA
46NANA-14.5583NA
59.5NANA11.3417NA
613.8NANA38.2917NA
714.733.62512.183321.4417-18.925
822.474.92513.383361.5417-52.525
91832.12514.633317.4917-14.125
101716.72515.98330.7416670.275
1116.56.62517.6833-11.05839.875
1214.4-9.87519.7833-29.658324.275
1314.3-14.77521.9833-36.758329.075
1418.2-1.27524.4333-25.708319.475
1518-6.27526.8333-33.108324.275
162414.12528.6833-14.55839.875
1732.341.62530.283311.3417-9.325
1841.469.92531.633338.2917-28.525
1939.954.22532.783321.4417-14.325
205695.52533.983361.5417-39.525
214252.72535.233317.4917-10.725
2237.437.32536.58330.7416670.075
2334.527.22538.2833-11.05837.275
2428.810.72540.3833-29.658318.075
2527.55.82542.5833-36.758321.675
2633.819.32545.0333-25.708314.475
2732.414.32547.4333-33.108318.075
284234.72549.2833-14.55837.275
2955.162.22550.883311.3417-7.125
306990.52552.233338.2917-21.525
3165.174.82553.383321.4417-9.725
3289.6116.12554.583361.5417-26.525
336673.32555.833317.4917-7.325
3457.857.92557.18330.741667-0.125
3552.547.82558.8833-11.05834.675
3643.231.32560.9833-29.658311.875
3740.726.42563.1833-36.758314.275
3849.439.92565.6333-25.70839.475
3946.834.92568.0333-33.108311.875
406055.32569.8833-14.55834.675
4177.982.82571.483311.3417-4.925
4296.6111.12572.833338.2917-14.525
4390.395.42573.983321.4417-5.125
44123.2136.72575.183361.5417-13.525
459093.92576.433317.4917-3.925
4678.278.52577.78330.741667-0.325
4770.568.42579.4833-11.05832.075
4857.651.92581.5833-29.65835.675
4953.947.02583.7833-36.75836.875
506560.52586.2333-25.70834.475
5161.255.52588.6333-33.10835.675
527875.92590.4833-14.55832.075
53100.7103.42592.083311.3417-2.725
54124.2131.72593.433338.2917-7.525
55115.5116.02594.583321.4417-0.525
56156.8157.32595.783361.5417-0.525
57114114.52597.033317.4917-0.525
5898.699.12598.38330.741667-0.525
5988.589.025100.083-11.0583-0.525
607272.525102.183-29.6583-0.525
6167.167.625104.383-36.7583-0.525
6280.681.125106.833-25.7083-0.525
6375.676.125109.233-33.1083-0.525
649696.525111.083-14.5583-0.525
65123.5124.025112.68311.3417-0.525
66151.8152.325114.03338.2917-0.525
67140.7136.625115.18321.44174.075
68190.4177.925116.38361.541712.475
69138135.125117.63317.49172.875
70119119.725118.9830.741667-0.725
71106.5109.625120.683-11.0583-3.125
7286.493.125122.783-29.6583-6.725
7380.388.225124.983-36.7583-7.925
7496.2101.725127.433-25.7083-5.525
759096.725129.833-33.1083-6.725
76114117.125131.683-14.5583-3.125
77146.3144.625133.28311.34171.675
78179.4172.925134.63338.29176.475
79165.9157.225135.78321.44178.675
80224198.525136.98361.541725.475
81162155.725138.23317.49176.275
82139.4140.325139.5830.741667-0.925
83124.5130.225141.283-11.0583-5.725
84100.8113.725143.383-29.6583-12.925
8593.5108.825145.583-36.7583-15.325
86111.8122.325148.033-25.7083-10.525
87104.4117.325150.433-33.1083-12.925
88132137.725152.283-14.5583-5.725
89169.1165.225153.88311.34173.875
90207193.525155.23338.291713.475
91191.1177.825156.38321.441713.275
92257.6219.125157.58361.541738.475
93186176.325158.83317.49179.675
94159.8160.925160.1830.741667-1.125
95142.5150.825161.883-11.0583-8.325
96115.2134.325163.983-29.6583-19.125
97106.7129.425166.183-36.7583-22.725
98127.4142.925168.633-25.7083-15.525
99118.8137.925171.033-33.1083-19.125
100150158.325172.883-14.5583-8.325
101191.9185.825174.48311.34176.075
102234.6214.125175.83338.291720.475
103216.3198.425176.98321.441717.875
104291.2239.725178.18361.541751.475
105210196.925179.43317.491713.075
106180.2181.525180.7830.741667-1.325
107160.5171.425182.483-11.0583-10.925
108129.6154.925184.583-29.6583-25.325
109119.9150.025186.783-36.7583-30.125
110143163.525189.233-25.7083-20.525
111133.2158.525191.633-33.1083-25.325
112168178.925193.483-14.5583-10.925
113214.7206.425195.08311.34178.275
114262.2234.725196.43338.291727.475
115241.5NANA21.4417NA
116324.8NANA61.5417NA
117234NANA17.4917NA
118200.6NANA0.741667NA
119178.5NANA-11.0583NA
120144NANA-29.6583NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.1 & NA & NA & -36.7583 & NA \tabularnewline
2 & 2.6 & NA & NA & -25.7083 & NA \tabularnewline
3 & 3.6 & NA & NA & -33.1083 & NA \tabularnewline
4 & 6 & NA & NA & -14.5583 & NA \tabularnewline
5 & 9.5 & NA & NA & 11.3417 & NA \tabularnewline
6 & 13.8 & NA & NA & 38.2917 & NA \tabularnewline
7 & 14.7 & 33.625 & 12.1833 & 21.4417 & -18.925 \tabularnewline
8 & 22.4 & 74.925 & 13.3833 & 61.5417 & -52.525 \tabularnewline
9 & 18 & 32.125 & 14.6333 & 17.4917 & -14.125 \tabularnewline
10 & 17 & 16.725 & 15.9833 & 0.741667 & 0.275 \tabularnewline
11 & 16.5 & 6.625 & 17.6833 & -11.0583 & 9.875 \tabularnewline
12 & 14.4 & -9.875 & 19.7833 & -29.6583 & 24.275 \tabularnewline
13 & 14.3 & -14.775 & 21.9833 & -36.7583 & 29.075 \tabularnewline
14 & 18.2 & -1.275 & 24.4333 & -25.7083 & 19.475 \tabularnewline
15 & 18 & -6.275 & 26.8333 & -33.1083 & 24.275 \tabularnewline
16 & 24 & 14.125 & 28.6833 & -14.5583 & 9.875 \tabularnewline
17 & 32.3 & 41.625 & 30.2833 & 11.3417 & -9.325 \tabularnewline
18 & 41.4 & 69.925 & 31.6333 & 38.2917 & -28.525 \tabularnewline
19 & 39.9 & 54.225 & 32.7833 & 21.4417 & -14.325 \tabularnewline
20 & 56 & 95.525 & 33.9833 & 61.5417 & -39.525 \tabularnewline
21 & 42 & 52.725 & 35.2333 & 17.4917 & -10.725 \tabularnewline
22 & 37.4 & 37.325 & 36.5833 & 0.741667 & 0.075 \tabularnewline
23 & 34.5 & 27.225 & 38.2833 & -11.0583 & 7.275 \tabularnewline
24 & 28.8 & 10.725 & 40.3833 & -29.6583 & 18.075 \tabularnewline
25 & 27.5 & 5.825 & 42.5833 & -36.7583 & 21.675 \tabularnewline
26 & 33.8 & 19.325 & 45.0333 & -25.7083 & 14.475 \tabularnewline
27 & 32.4 & 14.325 & 47.4333 & -33.1083 & 18.075 \tabularnewline
28 & 42 & 34.725 & 49.2833 & -14.5583 & 7.275 \tabularnewline
29 & 55.1 & 62.225 & 50.8833 & 11.3417 & -7.125 \tabularnewline
30 & 69 & 90.525 & 52.2333 & 38.2917 & -21.525 \tabularnewline
31 & 65.1 & 74.825 & 53.3833 & 21.4417 & -9.725 \tabularnewline
32 & 89.6 & 116.125 & 54.5833 & 61.5417 & -26.525 \tabularnewline
33 & 66 & 73.325 & 55.8333 & 17.4917 & -7.325 \tabularnewline
34 & 57.8 & 57.925 & 57.1833 & 0.741667 & -0.125 \tabularnewline
35 & 52.5 & 47.825 & 58.8833 & -11.0583 & 4.675 \tabularnewline
36 & 43.2 & 31.325 & 60.9833 & -29.6583 & 11.875 \tabularnewline
37 & 40.7 & 26.425 & 63.1833 & -36.7583 & 14.275 \tabularnewline
38 & 49.4 & 39.925 & 65.6333 & -25.7083 & 9.475 \tabularnewline
39 & 46.8 & 34.925 & 68.0333 & -33.1083 & 11.875 \tabularnewline
40 & 60 & 55.325 & 69.8833 & -14.5583 & 4.675 \tabularnewline
41 & 77.9 & 82.825 & 71.4833 & 11.3417 & -4.925 \tabularnewline
42 & 96.6 & 111.125 & 72.8333 & 38.2917 & -14.525 \tabularnewline
43 & 90.3 & 95.425 & 73.9833 & 21.4417 & -5.125 \tabularnewline
44 & 123.2 & 136.725 & 75.1833 & 61.5417 & -13.525 \tabularnewline
45 & 90 & 93.925 & 76.4333 & 17.4917 & -3.925 \tabularnewline
46 & 78.2 & 78.525 & 77.7833 & 0.741667 & -0.325 \tabularnewline
47 & 70.5 & 68.425 & 79.4833 & -11.0583 & 2.075 \tabularnewline
48 & 57.6 & 51.925 & 81.5833 & -29.6583 & 5.675 \tabularnewline
49 & 53.9 & 47.025 & 83.7833 & -36.7583 & 6.875 \tabularnewline
50 & 65 & 60.525 & 86.2333 & -25.7083 & 4.475 \tabularnewline
51 & 61.2 & 55.525 & 88.6333 & -33.1083 & 5.675 \tabularnewline
52 & 78 & 75.925 & 90.4833 & -14.5583 & 2.075 \tabularnewline
53 & 100.7 & 103.425 & 92.0833 & 11.3417 & -2.725 \tabularnewline
54 & 124.2 & 131.725 & 93.4333 & 38.2917 & -7.525 \tabularnewline
55 & 115.5 & 116.025 & 94.5833 & 21.4417 & -0.525 \tabularnewline
56 & 156.8 & 157.325 & 95.7833 & 61.5417 & -0.525 \tabularnewline
57 & 114 & 114.525 & 97.0333 & 17.4917 & -0.525 \tabularnewline
58 & 98.6 & 99.125 & 98.3833 & 0.741667 & -0.525 \tabularnewline
59 & 88.5 & 89.025 & 100.083 & -11.0583 & -0.525 \tabularnewline
60 & 72 & 72.525 & 102.183 & -29.6583 & -0.525 \tabularnewline
61 & 67.1 & 67.625 & 104.383 & -36.7583 & -0.525 \tabularnewline
62 & 80.6 & 81.125 & 106.833 & -25.7083 & -0.525 \tabularnewline
63 & 75.6 & 76.125 & 109.233 & -33.1083 & -0.525 \tabularnewline
64 & 96 & 96.525 & 111.083 & -14.5583 & -0.525 \tabularnewline
65 & 123.5 & 124.025 & 112.683 & 11.3417 & -0.525 \tabularnewline
66 & 151.8 & 152.325 & 114.033 & 38.2917 & -0.525 \tabularnewline
67 & 140.7 & 136.625 & 115.183 & 21.4417 & 4.075 \tabularnewline
68 & 190.4 & 177.925 & 116.383 & 61.5417 & 12.475 \tabularnewline
69 & 138 & 135.125 & 117.633 & 17.4917 & 2.875 \tabularnewline
70 & 119 & 119.725 & 118.983 & 0.741667 & -0.725 \tabularnewline
71 & 106.5 & 109.625 & 120.683 & -11.0583 & -3.125 \tabularnewline
72 & 86.4 & 93.125 & 122.783 & -29.6583 & -6.725 \tabularnewline
73 & 80.3 & 88.225 & 124.983 & -36.7583 & -7.925 \tabularnewline
74 & 96.2 & 101.725 & 127.433 & -25.7083 & -5.525 \tabularnewline
75 & 90 & 96.725 & 129.833 & -33.1083 & -6.725 \tabularnewline
76 & 114 & 117.125 & 131.683 & -14.5583 & -3.125 \tabularnewline
77 & 146.3 & 144.625 & 133.283 & 11.3417 & 1.675 \tabularnewline
78 & 179.4 & 172.925 & 134.633 & 38.2917 & 6.475 \tabularnewline
79 & 165.9 & 157.225 & 135.783 & 21.4417 & 8.675 \tabularnewline
80 & 224 & 198.525 & 136.983 & 61.5417 & 25.475 \tabularnewline
81 & 162 & 155.725 & 138.233 & 17.4917 & 6.275 \tabularnewline
82 & 139.4 & 140.325 & 139.583 & 0.741667 & -0.925 \tabularnewline
83 & 124.5 & 130.225 & 141.283 & -11.0583 & -5.725 \tabularnewline
84 & 100.8 & 113.725 & 143.383 & -29.6583 & -12.925 \tabularnewline
85 & 93.5 & 108.825 & 145.583 & -36.7583 & -15.325 \tabularnewline
86 & 111.8 & 122.325 & 148.033 & -25.7083 & -10.525 \tabularnewline
87 & 104.4 & 117.325 & 150.433 & -33.1083 & -12.925 \tabularnewline
88 & 132 & 137.725 & 152.283 & -14.5583 & -5.725 \tabularnewline
89 & 169.1 & 165.225 & 153.883 & 11.3417 & 3.875 \tabularnewline
90 & 207 & 193.525 & 155.233 & 38.2917 & 13.475 \tabularnewline
91 & 191.1 & 177.825 & 156.383 & 21.4417 & 13.275 \tabularnewline
92 & 257.6 & 219.125 & 157.583 & 61.5417 & 38.475 \tabularnewline
93 & 186 & 176.325 & 158.833 & 17.4917 & 9.675 \tabularnewline
94 & 159.8 & 160.925 & 160.183 & 0.741667 & -1.125 \tabularnewline
95 & 142.5 & 150.825 & 161.883 & -11.0583 & -8.325 \tabularnewline
96 & 115.2 & 134.325 & 163.983 & -29.6583 & -19.125 \tabularnewline
97 & 106.7 & 129.425 & 166.183 & -36.7583 & -22.725 \tabularnewline
98 & 127.4 & 142.925 & 168.633 & -25.7083 & -15.525 \tabularnewline
99 & 118.8 & 137.925 & 171.033 & -33.1083 & -19.125 \tabularnewline
100 & 150 & 158.325 & 172.883 & -14.5583 & -8.325 \tabularnewline
101 & 191.9 & 185.825 & 174.483 & 11.3417 & 6.075 \tabularnewline
102 & 234.6 & 214.125 & 175.833 & 38.2917 & 20.475 \tabularnewline
103 & 216.3 & 198.425 & 176.983 & 21.4417 & 17.875 \tabularnewline
104 & 291.2 & 239.725 & 178.183 & 61.5417 & 51.475 \tabularnewline
105 & 210 & 196.925 & 179.433 & 17.4917 & 13.075 \tabularnewline
106 & 180.2 & 181.525 & 180.783 & 0.741667 & -1.325 \tabularnewline
107 & 160.5 & 171.425 & 182.483 & -11.0583 & -10.925 \tabularnewline
108 & 129.6 & 154.925 & 184.583 & -29.6583 & -25.325 \tabularnewline
109 & 119.9 & 150.025 & 186.783 & -36.7583 & -30.125 \tabularnewline
110 & 143 & 163.525 & 189.233 & -25.7083 & -20.525 \tabularnewline
111 & 133.2 & 158.525 & 191.633 & -33.1083 & -25.325 \tabularnewline
112 & 168 & 178.925 & 193.483 & -14.5583 & -10.925 \tabularnewline
113 & 214.7 & 206.425 & 195.083 & 11.3417 & 8.275 \tabularnewline
114 & 262.2 & 234.725 & 196.433 & 38.2917 & 27.475 \tabularnewline
115 & 241.5 & NA & NA & 21.4417 & NA \tabularnewline
116 & 324.8 & NA & NA & 61.5417 & NA \tabularnewline
117 & 234 & NA & NA & 17.4917 & NA \tabularnewline
118 & 200.6 & NA & NA & 0.741667 & NA \tabularnewline
119 & 178.5 & NA & NA & -11.0583 & NA \tabularnewline
120 & 144 & NA & NA & -29.6583 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319748&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]1.1[/C][C]NA[/C][C]NA[/C][C]-36.7583[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2.6[/C][C]NA[/C][C]NA[/C][C]-25.7083[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3.6[/C][C]NA[/C][C]NA[/C][C]-33.1083[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6[/C][C]NA[/C][C]NA[/C][C]-14.5583[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]9.5[/C][C]NA[/C][C]NA[/C][C]11.3417[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]13.8[/C][C]NA[/C][C]NA[/C][C]38.2917[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]14.7[/C][C]33.625[/C][C]12.1833[/C][C]21.4417[/C][C]-18.925[/C][/ROW]
[ROW][C]8[/C][C]22.4[/C][C]74.925[/C][C]13.3833[/C][C]61.5417[/C][C]-52.525[/C][/ROW]
[ROW][C]9[/C][C]18[/C][C]32.125[/C][C]14.6333[/C][C]17.4917[/C][C]-14.125[/C][/ROW]
[ROW][C]10[/C][C]17[/C][C]16.725[/C][C]15.9833[/C][C]0.741667[/C][C]0.275[/C][/ROW]
[ROW][C]11[/C][C]16.5[/C][C]6.625[/C][C]17.6833[/C][C]-11.0583[/C][C]9.875[/C][/ROW]
[ROW][C]12[/C][C]14.4[/C][C]-9.875[/C][C]19.7833[/C][C]-29.6583[/C][C]24.275[/C][/ROW]
[ROW][C]13[/C][C]14.3[/C][C]-14.775[/C][C]21.9833[/C][C]-36.7583[/C][C]29.075[/C][/ROW]
[ROW][C]14[/C][C]18.2[/C][C]-1.275[/C][C]24.4333[/C][C]-25.7083[/C][C]19.475[/C][/ROW]
[ROW][C]15[/C][C]18[/C][C]-6.275[/C][C]26.8333[/C][C]-33.1083[/C][C]24.275[/C][/ROW]
[ROW][C]16[/C][C]24[/C][C]14.125[/C][C]28.6833[/C][C]-14.5583[/C][C]9.875[/C][/ROW]
[ROW][C]17[/C][C]32.3[/C][C]41.625[/C][C]30.2833[/C][C]11.3417[/C][C]-9.325[/C][/ROW]
[ROW][C]18[/C][C]41.4[/C][C]69.925[/C][C]31.6333[/C][C]38.2917[/C][C]-28.525[/C][/ROW]
[ROW][C]19[/C][C]39.9[/C][C]54.225[/C][C]32.7833[/C][C]21.4417[/C][C]-14.325[/C][/ROW]
[ROW][C]20[/C][C]56[/C][C]95.525[/C][C]33.9833[/C][C]61.5417[/C][C]-39.525[/C][/ROW]
[ROW][C]21[/C][C]42[/C][C]52.725[/C][C]35.2333[/C][C]17.4917[/C][C]-10.725[/C][/ROW]
[ROW][C]22[/C][C]37.4[/C][C]37.325[/C][C]36.5833[/C][C]0.741667[/C][C]0.075[/C][/ROW]
[ROW][C]23[/C][C]34.5[/C][C]27.225[/C][C]38.2833[/C][C]-11.0583[/C][C]7.275[/C][/ROW]
[ROW][C]24[/C][C]28.8[/C][C]10.725[/C][C]40.3833[/C][C]-29.6583[/C][C]18.075[/C][/ROW]
[ROW][C]25[/C][C]27.5[/C][C]5.825[/C][C]42.5833[/C][C]-36.7583[/C][C]21.675[/C][/ROW]
[ROW][C]26[/C][C]33.8[/C][C]19.325[/C][C]45.0333[/C][C]-25.7083[/C][C]14.475[/C][/ROW]
[ROW][C]27[/C][C]32.4[/C][C]14.325[/C][C]47.4333[/C][C]-33.1083[/C][C]18.075[/C][/ROW]
[ROW][C]28[/C][C]42[/C][C]34.725[/C][C]49.2833[/C][C]-14.5583[/C][C]7.275[/C][/ROW]
[ROW][C]29[/C][C]55.1[/C][C]62.225[/C][C]50.8833[/C][C]11.3417[/C][C]-7.125[/C][/ROW]
[ROW][C]30[/C][C]69[/C][C]90.525[/C][C]52.2333[/C][C]38.2917[/C][C]-21.525[/C][/ROW]
[ROW][C]31[/C][C]65.1[/C][C]74.825[/C][C]53.3833[/C][C]21.4417[/C][C]-9.725[/C][/ROW]
[ROW][C]32[/C][C]89.6[/C][C]116.125[/C][C]54.5833[/C][C]61.5417[/C][C]-26.525[/C][/ROW]
[ROW][C]33[/C][C]66[/C][C]73.325[/C][C]55.8333[/C][C]17.4917[/C][C]-7.325[/C][/ROW]
[ROW][C]34[/C][C]57.8[/C][C]57.925[/C][C]57.1833[/C][C]0.741667[/C][C]-0.125[/C][/ROW]
[ROW][C]35[/C][C]52.5[/C][C]47.825[/C][C]58.8833[/C][C]-11.0583[/C][C]4.675[/C][/ROW]
[ROW][C]36[/C][C]43.2[/C][C]31.325[/C][C]60.9833[/C][C]-29.6583[/C][C]11.875[/C][/ROW]
[ROW][C]37[/C][C]40.7[/C][C]26.425[/C][C]63.1833[/C][C]-36.7583[/C][C]14.275[/C][/ROW]
[ROW][C]38[/C][C]49.4[/C][C]39.925[/C][C]65.6333[/C][C]-25.7083[/C][C]9.475[/C][/ROW]
[ROW][C]39[/C][C]46.8[/C][C]34.925[/C][C]68.0333[/C][C]-33.1083[/C][C]11.875[/C][/ROW]
[ROW][C]40[/C][C]60[/C][C]55.325[/C][C]69.8833[/C][C]-14.5583[/C][C]4.675[/C][/ROW]
[ROW][C]41[/C][C]77.9[/C][C]82.825[/C][C]71.4833[/C][C]11.3417[/C][C]-4.925[/C][/ROW]
[ROW][C]42[/C][C]96.6[/C][C]111.125[/C][C]72.8333[/C][C]38.2917[/C][C]-14.525[/C][/ROW]
[ROW][C]43[/C][C]90.3[/C][C]95.425[/C][C]73.9833[/C][C]21.4417[/C][C]-5.125[/C][/ROW]
[ROW][C]44[/C][C]123.2[/C][C]136.725[/C][C]75.1833[/C][C]61.5417[/C][C]-13.525[/C][/ROW]
[ROW][C]45[/C][C]90[/C][C]93.925[/C][C]76.4333[/C][C]17.4917[/C][C]-3.925[/C][/ROW]
[ROW][C]46[/C][C]78.2[/C][C]78.525[/C][C]77.7833[/C][C]0.741667[/C][C]-0.325[/C][/ROW]
[ROW][C]47[/C][C]70.5[/C][C]68.425[/C][C]79.4833[/C][C]-11.0583[/C][C]2.075[/C][/ROW]
[ROW][C]48[/C][C]57.6[/C][C]51.925[/C][C]81.5833[/C][C]-29.6583[/C][C]5.675[/C][/ROW]
[ROW][C]49[/C][C]53.9[/C][C]47.025[/C][C]83.7833[/C][C]-36.7583[/C][C]6.875[/C][/ROW]
[ROW][C]50[/C][C]65[/C][C]60.525[/C][C]86.2333[/C][C]-25.7083[/C][C]4.475[/C][/ROW]
[ROW][C]51[/C][C]61.2[/C][C]55.525[/C][C]88.6333[/C][C]-33.1083[/C][C]5.675[/C][/ROW]
[ROW][C]52[/C][C]78[/C][C]75.925[/C][C]90.4833[/C][C]-14.5583[/C][C]2.075[/C][/ROW]
[ROW][C]53[/C][C]100.7[/C][C]103.425[/C][C]92.0833[/C][C]11.3417[/C][C]-2.725[/C][/ROW]
[ROW][C]54[/C][C]124.2[/C][C]131.725[/C][C]93.4333[/C][C]38.2917[/C][C]-7.525[/C][/ROW]
[ROW][C]55[/C][C]115.5[/C][C]116.025[/C][C]94.5833[/C][C]21.4417[/C][C]-0.525[/C][/ROW]
[ROW][C]56[/C][C]156.8[/C][C]157.325[/C][C]95.7833[/C][C]61.5417[/C][C]-0.525[/C][/ROW]
[ROW][C]57[/C][C]114[/C][C]114.525[/C][C]97.0333[/C][C]17.4917[/C][C]-0.525[/C][/ROW]
[ROW][C]58[/C][C]98.6[/C][C]99.125[/C][C]98.3833[/C][C]0.741667[/C][C]-0.525[/C][/ROW]
[ROW][C]59[/C][C]88.5[/C][C]89.025[/C][C]100.083[/C][C]-11.0583[/C][C]-0.525[/C][/ROW]
[ROW][C]60[/C][C]72[/C][C]72.525[/C][C]102.183[/C][C]-29.6583[/C][C]-0.525[/C][/ROW]
[ROW][C]61[/C][C]67.1[/C][C]67.625[/C][C]104.383[/C][C]-36.7583[/C][C]-0.525[/C][/ROW]
[ROW][C]62[/C][C]80.6[/C][C]81.125[/C][C]106.833[/C][C]-25.7083[/C][C]-0.525[/C][/ROW]
[ROW][C]63[/C][C]75.6[/C][C]76.125[/C][C]109.233[/C][C]-33.1083[/C][C]-0.525[/C][/ROW]
[ROW][C]64[/C][C]96[/C][C]96.525[/C][C]111.083[/C][C]-14.5583[/C][C]-0.525[/C][/ROW]
[ROW][C]65[/C][C]123.5[/C][C]124.025[/C][C]112.683[/C][C]11.3417[/C][C]-0.525[/C][/ROW]
[ROW][C]66[/C][C]151.8[/C][C]152.325[/C][C]114.033[/C][C]38.2917[/C][C]-0.525[/C][/ROW]
[ROW][C]67[/C][C]140.7[/C][C]136.625[/C][C]115.183[/C][C]21.4417[/C][C]4.075[/C][/ROW]
[ROW][C]68[/C][C]190.4[/C][C]177.925[/C][C]116.383[/C][C]61.5417[/C][C]12.475[/C][/ROW]
[ROW][C]69[/C][C]138[/C][C]135.125[/C][C]117.633[/C][C]17.4917[/C][C]2.875[/C][/ROW]
[ROW][C]70[/C][C]119[/C][C]119.725[/C][C]118.983[/C][C]0.741667[/C][C]-0.725[/C][/ROW]
[ROW][C]71[/C][C]106.5[/C][C]109.625[/C][C]120.683[/C][C]-11.0583[/C][C]-3.125[/C][/ROW]
[ROW][C]72[/C][C]86.4[/C][C]93.125[/C][C]122.783[/C][C]-29.6583[/C][C]-6.725[/C][/ROW]
[ROW][C]73[/C][C]80.3[/C][C]88.225[/C][C]124.983[/C][C]-36.7583[/C][C]-7.925[/C][/ROW]
[ROW][C]74[/C][C]96.2[/C][C]101.725[/C][C]127.433[/C][C]-25.7083[/C][C]-5.525[/C][/ROW]
[ROW][C]75[/C][C]90[/C][C]96.725[/C][C]129.833[/C][C]-33.1083[/C][C]-6.725[/C][/ROW]
[ROW][C]76[/C][C]114[/C][C]117.125[/C][C]131.683[/C][C]-14.5583[/C][C]-3.125[/C][/ROW]
[ROW][C]77[/C][C]146.3[/C][C]144.625[/C][C]133.283[/C][C]11.3417[/C][C]1.675[/C][/ROW]
[ROW][C]78[/C][C]179.4[/C][C]172.925[/C][C]134.633[/C][C]38.2917[/C][C]6.475[/C][/ROW]
[ROW][C]79[/C][C]165.9[/C][C]157.225[/C][C]135.783[/C][C]21.4417[/C][C]8.675[/C][/ROW]
[ROW][C]80[/C][C]224[/C][C]198.525[/C][C]136.983[/C][C]61.5417[/C][C]25.475[/C][/ROW]
[ROW][C]81[/C][C]162[/C][C]155.725[/C][C]138.233[/C][C]17.4917[/C][C]6.275[/C][/ROW]
[ROW][C]82[/C][C]139.4[/C][C]140.325[/C][C]139.583[/C][C]0.741667[/C][C]-0.925[/C][/ROW]
[ROW][C]83[/C][C]124.5[/C][C]130.225[/C][C]141.283[/C][C]-11.0583[/C][C]-5.725[/C][/ROW]
[ROW][C]84[/C][C]100.8[/C][C]113.725[/C][C]143.383[/C][C]-29.6583[/C][C]-12.925[/C][/ROW]
[ROW][C]85[/C][C]93.5[/C][C]108.825[/C][C]145.583[/C][C]-36.7583[/C][C]-15.325[/C][/ROW]
[ROW][C]86[/C][C]111.8[/C][C]122.325[/C][C]148.033[/C][C]-25.7083[/C][C]-10.525[/C][/ROW]
[ROW][C]87[/C][C]104.4[/C][C]117.325[/C][C]150.433[/C][C]-33.1083[/C][C]-12.925[/C][/ROW]
[ROW][C]88[/C][C]132[/C][C]137.725[/C][C]152.283[/C][C]-14.5583[/C][C]-5.725[/C][/ROW]
[ROW][C]89[/C][C]169.1[/C][C]165.225[/C][C]153.883[/C][C]11.3417[/C][C]3.875[/C][/ROW]
[ROW][C]90[/C][C]207[/C][C]193.525[/C][C]155.233[/C][C]38.2917[/C][C]13.475[/C][/ROW]
[ROW][C]91[/C][C]191.1[/C][C]177.825[/C][C]156.383[/C][C]21.4417[/C][C]13.275[/C][/ROW]
[ROW][C]92[/C][C]257.6[/C][C]219.125[/C][C]157.583[/C][C]61.5417[/C][C]38.475[/C][/ROW]
[ROW][C]93[/C][C]186[/C][C]176.325[/C][C]158.833[/C][C]17.4917[/C][C]9.675[/C][/ROW]
[ROW][C]94[/C][C]159.8[/C][C]160.925[/C][C]160.183[/C][C]0.741667[/C][C]-1.125[/C][/ROW]
[ROW][C]95[/C][C]142.5[/C][C]150.825[/C][C]161.883[/C][C]-11.0583[/C][C]-8.325[/C][/ROW]
[ROW][C]96[/C][C]115.2[/C][C]134.325[/C][C]163.983[/C][C]-29.6583[/C][C]-19.125[/C][/ROW]
[ROW][C]97[/C][C]106.7[/C][C]129.425[/C][C]166.183[/C][C]-36.7583[/C][C]-22.725[/C][/ROW]
[ROW][C]98[/C][C]127.4[/C][C]142.925[/C][C]168.633[/C][C]-25.7083[/C][C]-15.525[/C][/ROW]
[ROW][C]99[/C][C]118.8[/C][C]137.925[/C][C]171.033[/C][C]-33.1083[/C][C]-19.125[/C][/ROW]
[ROW][C]100[/C][C]150[/C][C]158.325[/C][C]172.883[/C][C]-14.5583[/C][C]-8.325[/C][/ROW]
[ROW][C]101[/C][C]191.9[/C][C]185.825[/C][C]174.483[/C][C]11.3417[/C][C]6.075[/C][/ROW]
[ROW][C]102[/C][C]234.6[/C][C]214.125[/C][C]175.833[/C][C]38.2917[/C][C]20.475[/C][/ROW]
[ROW][C]103[/C][C]216.3[/C][C]198.425[/C][C]176.983[/C][C]21.4417[/C][C]17.875[/C][/ROW]
[ROW][C]104[/C][C]291.2[/C][C]239.725[/C][C]178.183[/C][C]61.5417[/C][C]51.475[/C][/ROW]
[ROW][C]105[/C][C]210[/C][C]196.925[/C][C]179.433[/C][C]17.4917[/C][C]13.075[/C][/ROW]
[ROW][C]106[/C][C]180.2[/C][C]181.525[/C][C]180.783[/C][C]0.741667[/C][C]-1.325[/C][/ROW]
[ROW][C]107[/C][C]160.5[/C][C]171.425[/C][C]182.483[/C][C]-11.0583[/C][C]-10.925[/C][/ROW]
[ROW][C]108[/C][C]129.6[/C][C]154.925[/C][C]184.583[/C][C]-29.6583[/C][C]-25.325[/C][/ROW]
[ROW][C]109[/C][C]119.9[/C][C]150.025[/C][C]186.783[/C][C]-36.7583[/C][C]-30.125[/C][/ROW]
[ROW][C]110[/C][C]143[/C][C]163.525[/C][C]189.233[/C][C]-25.7083[/C][C]-20.525[/C][/ROW]
[ROW][C]111[/C][C]133.2[/C][C]158.525[/C][C]191.633[/C][C]-33.1083[/C][C]-25.325[/C][/ROW]
[ROW][C]112[/C][C]168[/C][C]178.925[/C][C]193.483[/C][C]-14.5583[/C][C]-10.925[/C][/ROW]
[ROW][C]113[/C][C]214.7[/C][C]206.425[/C][C]195.083[/C][C]11.3417[/C][C]8.275[/C][/ROW]
[ROW][C]114[/C][C]262.2[/C][C]234.725[/C][C]196.433[/C][C]38.2917[/C][C]27.475[/C][/ROW]
[ROW][C]115[/C][C]241.5[/C][C]NA[/C][C]NA[/C][C]21.4417[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]324.8[/C][C]NA[/C][C]NA[/C][C]61.5417[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]234[/C][C]NA[/C][C]NA[/C][C]17.4917[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]200.6[/C][C]NA[/C][C]NA[/C][C]0.741667[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]178.5[/C][C]NA[/C][C]NA[/C][C]-11.0583[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]144[/C][C]NA[/C][C]NA[/C][C]-29.6583[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319748&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319748&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11.1NANA-36.7583NA
22.6NANA-25.7083NA
33.6NANA-33.1083NA
46NANA-14.5583NA
59.5NANA11.3417NA
613.8NANA38.2917NA
714.733.62512.183321.4417-18.925
822.474.92513.383361.5417-52.525
91832.12514.633317.4917-14.125
101716.72515.98330.7416670.275
1116.56.62517.6833-11.05839.875
1214.4-9.87519.7833-29.658324.275
1314.3-14.77521.9833-36.758329.075
1418.2-1.27524.4333-25.708319.475
1518-6.27526.8333-33.108324.275
162414.12528.6833-14.55839.875
1732.341.62530.283311.3417-9.325
1841.469.92531.633338.2917-28.525
1939.954.22532.783321.4417-14.325
205695.52533.983361.5417-39.525
214252.72535.233317.4917-10.725
2237.437.32536.58330.7416670.075
2334.527.22538.2833-11.05837.275
2428.810.72540.3833-29.658318.075
2527.55.82542.5833-36.758321.675
2633.819.32545.0333-25.708314.475
2732.414.32547.4333-33.108318.075
284234.72549.2833-14.55837.275
2955.162.22550.883311.3417-7.125
306990.52552.233338.2917-21.525
3165.174.82553.383321.4417-9.725
3289.6116.12554.583361.5417-26.525
336673.32555.833317.4917-7.325
3457.857.92557.18330.741667-0.125
3552.547.82558.8833-11.05834.675
3643.231.32560.9833-29.658311.875
3740.726.42563.1833-36.758314.275
3849.439.92565.6333-25.70839.475
3946.834.92568.0333-33.108311.875
406055.32569.8833-14.55834.675
4177.982.82571.483311.3417-4.925
4296.6111.12572.833338.2917-14.525
4390.395.42573.983321.4417-5.125
44123.2136.72575.183361.5417-13.525
459093.92576.433317.4917-3.925
4678.278.52577.78330.741667-0.325
4770.568.42579.4833-11.05832.075
4857.651.92581.5833-29.65835.675
4953.947.02583.7833-36.75836.875
506560.52586.2333-25.70834.475
5161.255.52588.6333-33.10835.675
527875.92590.4833-14.55832.075
53100.7103.42592.083311.3417-2.725
54124.2131.72593.433338.2917-7.525
55115.5116.02594.583321.4417-0.525
56156.8157.32595.783361.5417-0.525
57114114.52597.033317.4917-0.525
5898.699.12598.38330.741667-0.525
5988.589.025100.083-11.0583-0.525
607272.525102.183-29.6583-0.525
6167.167.625104.383-36.7583-0.525
6280.681.125106.833-25.7083-0.525
6375.676.125109.233-33.1083-0.525
649696.525111.083-14.5583-0.525
65123.5124.025112.68311.3417-0.525
66151.8152.325114.03338.2917-0.525
67140.7136.625115.18321.44174.075
68190.4177.925116.38361.541712.475
69138135.125117.63317.49172.875
70119119.725118.9830.741667-0.725
71106.5109.625120.683-11.0583-3.125
7286.493.125122.783-29.6583-6.725
7380.388.225124.983-36.7583-7.925
7496.2101.725127.433-25.7083-5.525
759096.725129.833-33.1083-6.725
76114117.125131.683-14.5583-3.125
77146.3144.625133.28311.34171.675
78179.4172.925134.63338.29176.475
79165.9157.225135.78321.44178.675
80224198.525136.98361.541725.475
81162155.725138.23317.49176.275
82139.4140.325139.5830.741667-0.925
83124.5130.225141.283-11.0583-5.725
84100.8113.725143.383-29.6583-12.925
8593.5108.825145.583-36.7583-15.325
86111.8122.325148.033-25.7083-10.525
87104.4117.325150.433-33.1083-12.925
88132137.725152.283-14.5583-5.725
89169.1165.225153.88311.34173.875
90207193.525155.23338.291713.475
91191.1177.825156.38321.441713.275
92257.6219.125157.58361.541738.475
93186176.325158.83317.49179.675
94159.8160.925160.1830.741667-1.125
95142.5150.825161.883-11.0583-8.325
96115.2134.325163.983-29.6583-19.125
97106.7129.425166.183-36.7583-22.725
98127.4142.925168.633-25.7083-15.525
99118.8137.925171.033-33.1083-19.125
100150158.325172.883-14.5583-8.325
101191.9185.825174.48311.34176.075
102234.6214.125175.83338.291720.475
103216.3198.425176.98321.441717.875
104291.2239.725178.18361.541751.475
105210196.925179.43317.491713.075
106180.2181.525180.7830.741667-1.325
107160.5171.425182.483-11.0583-10.925
108129.6154.925184.583-29.6583-25.325
109119.9150.025186.783-36.7583-30.125
110143163.525189.233-25.7083-20.525
111133.2158.525191.633-33.1083-25.325
112168178.925193.483-14.5583-10.925
113214.7206.425195.08311.34178.275
114262.2234.725196.43338.291727.475
115241.5NANA21.4417NA
116324.8NANA61.5417NA
117234NANA17.4917NA
118200.6NANA0.741667NA
119178.5NANA-11.0583NA
120144NANA-29.6583NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')