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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 30 May 2015 16:31:49 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/May/30/t1432999920tqaxi1nrprzgy9f.htm/, Retrieved Mon, 29 Apr 2024 12:11:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279509, Retrieved Mon, 29 Apr 2024 12:11:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [] [2015-05-30 11:19:07] [b30bdcc44403aed8ab60f5e6bd04fee3]
- RMPD    [Classical Decomposition] [] [2015-05-30 15:31:49] [d3245c242fac7b2d7caab09de558415e] [Current]
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Dataseries X:
20
23
27
23
21
18
16
11
14
-3
2
26
11
11
11
3
8
8
7
3
4
-7
0
-5
5
-1
-4
4
7
6
13
20
21
37
52
59
66
73
71
69
63
68
58
50
50
50
47
60
62
63
56
38
45
39
26
25
19
14
6
4
5
-3
-5
0
-6
4
-3
14
16
17
25
25
30
51
31
31
25
35
39
48
41
47
61
55
63
45
62
55
50
52
45
36
40
32
29
24
28
27
33
33
24
26
38
32
30
26
21
21




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279509&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279509&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279509&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
120NANA5.2296NA
223NANA4.50564NA
327NANA2.93793NA
423NANA-0.046441NA
521NANA-2.42144NA
618NANA0.255642NA
71613.208816.125-2.916232.79123
81113.021315.25-2.22873-2.02127
91411.552514.0833-2.530822.44748
10-37.7191812.5833-4.86415-10.7192
11210.651511.2083-0.556858-8.65148
122612.885910.252.6358513.1141
131114.68799.458335.2296-3.68793
141113.25568.754.50564-2.25564
151110.937982.937930.062066
1637.370237.41667-0.046441-4.37023
1784.745237.16667-2.421443.25477
1886.047315.791670.2556421.95269
1971.333774.25-2.916235.66623
2031.271273.5-2.228731.72873
214-0.1558162.375-2.530824.15582
22-7-3.072481.79167-4.86415-3.92752
2301.234811.79167-0.556858-1.23481
24-54.302521.666672.63585-9.30252
2557.062931.833335.2296-2.06293
26-17.297312.791674.50564-8.29731
27-47.146274.208332.93793-11.1463
2846.703566.75-0.046441-2.70356
2978.3285610.75-2.42144-1.32856
30615.83915.58330.255642-9.83898
311317.875420.7917-2.91623-4.87543
322024.187926.4167-2.22873-4.18793
332130.094232.625-2.53082-9.09418
343733.594238.4583-4.864153.40582
355242.943143.5-0.5568589.05686
365951.052548.41672.635857.94748
376658.104652.8755.22967.8954
387360.5056564.5056412.4944
397161.396358.45832.937939.60373
406960.161960.2083-0.0464418.83811
416358.120260.5417-2.421444.87977
426860.630660.3750.2556427.36936
435857.333860.25-2.916230.666233
445057.437959.6667-2.22873-7.43793
455056.094258.625-2.53082-6.09418
465051.844256.7083-4.86415-1.84418
474754.109854.6667-0.556858-7.10981
486055.344252.70832.635854.65582
496255.396350.16675.22966.60373
506352.297347.79174.5056410.7027
515648.396345.45832.937937.60373
523842.620242.6667-0.046441-4.62023
534537.036939.4583-2.421447.96311
543935.672335.41670.2556423.32769
552627.792130.7083-2.91623-1.7921
562523.354625.5833-2.228731.6454
571917.760920.2917-2.530821.23915
581411.302516.1667-4.864152.69748
59611.901512.4583-0.556858-5.90148
60411.51098.8752.63585-7.51085
61511.43796.208335.2296-6.43793
62-39.047314.541674.50564-12.0473
63-56.896273.958332.93793-11.8963
6403.911893.95833-0.046441-3.91189
65-62.453564.875-2.42144-8.45356
6646.797316.541670.255642-2.79731
67-35.54218.45833-2.91623-8.5421
68149.5212711.75-2.228734.47873
691612.969215.5-2.530823.03082
701713.427518.2917-4.864153.57248
712520.318120.875-0.5568584.68186
722526.094223.45832.63585-1.09418
733031.729626.55.2296-1.7296
745134.172329.66674.5056416.8277
753135.062932.1252.93793-4.06293
763134.370234.4167-0.046441-3.37023
772534.745237.1667-2.42144-9.74523
783540.172339.91670.255642-5.17231
793939.625442.5417-2.91623-0.625434
804841.437943.6667-2.228736.56207
814142.177544.7083-2.53082-1.17752
824742.135947-4.864154.86415
836148.484849.0417-0.55685812.5152
845553.427550.79172.635851.57248
856356.979651.755.22966.0204
864556.005651.54.50564-11.0056
876253.896350.95832.937938.10373
885550.245250.2917-0.0464414.75477
895045.911948.3333-2.421444.08811
905245.96445.70830.2556426.03602
914540.042142.9583-2.916234.9579
923638.521340.75-2.22873-2.52127
934036.260938.7917-2.530823.73915
943231.802536.6667-4.864150.197483
952934.109834.6667-0.556858-5.10981
962435.135932.52.63585-11.1359
972836.354631.1255.2296-8.3546
982735.172330.66674.50564-8.17231
993333.021330.08332.93793-0.0212674
1003329.370229.4167-0.0464413.62977
1012426.411928.8333-2.42144-2.41189
1022628.630628.3750.255642-2.63064
10338NANA-2.91623NA
10432NANA-2.22873NA
10530NANA-2.53082NA
10626NANA-4.86415NA
10721NANA-0.556858NA
10821NANA2.63585NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 20 & NA & NA & 5.2296 & NA \tabularnewline
2 & 23 & NA & NA & 4.50564 & NA \tabularnewline
3 & 27 & NA & NA & 2.93793 & NA \tabularnewline
4 & 23 & NA & NA & -0.046441 & NA \tabularnewline
5 & 21 & NA & NA & -2.42144 & NA \tabularnewline
6 & 18 & NA & NA & 0.255642 & NA \tabularnewline
7 & 16 & 13.2088 & 16.125 & -2.91623 & 2.79123 \tabularnewline
8 & 11 & 13.0213 & 15.25 & -2.22873 & -2.02127 \tabularnewline
9 & 14 & 11.5525 & 14.0833 & -2.53082 & 2.44748 \tabularnewline
10 & -3 & 7.71918 & 12.5833 & -4.86415 & -10.7192 \tabularnewline
11 & 2 & 10.6515 & 11.2083 & -0.556858 & -8.65148 \tabularnewline
12 & 26 & 12.8859 & 10.25 & 2.63585 & 13.1141 \tabularnewline
13 & 11 & 14.6879 & 9.45833 & 5.2296 & -3.68793 \tabularnewline
14 & 11 & 13.2556 & 8.75 & 4.50564 & -2.25564 \tabularnewline
15 & 11 & 10.9379 & 8 & 2.93793 & 0.062066 \tabularnewline
16 & 3 & 7.37023 & 7.41667 & -0.046441 & -4.37023 \tabularnewline
17 & 8 & 4.74523 & 7.16667 & -2.42144 & 3.25477 \tabularnewline
18 & 8 & 6.04731 & 5.79167 & 0.255642 & 1.95269 \tabularnewline
19 & 7 & 1.33377 & 4.25 & -2.91623 & 5.66623 \tabularnewline
20 & 3 & 1.27127 & 3.5 & -2.22873 & 1.72873 \tabularnewline
21 & 4 & -0.155816 & 2.375 & -2.53082 & 4.15582 \tabularnewline
22 & -7 & -3.07248 & 1.79167 & -4.86415 & -3.92752 \tabularnewline
23 & 0 & 1.23481 & 1.79167 & -0.556858 & -1.23481 \tabularnewline
24 & -5 & 4.30252 & 1.66667 & 2.63585 & -9.30252 \tabularnewline
25 & 5 & 7.06293 & 1.83333 & 5.2296 & -2.06293 \tabularnewline
26 & -1 & 7.29731 & 2.79167 & 4.50564 & -8.29731 \tabularnewline
27 & -4 & 7.14627 & 4.20833 & 2.93793 & -11.1463 \tabularnewline
28 & 4 & 6.70356 & 6.75 & -0.046441 & -2.70356 \tabularnewline
29 & 7 & 8.32856 & 10.75 & -2.42144 & -1.32856 \tabularnewline
30 & 6 & 15.839 & 15.5833 & 0.255642 & -9.83898 \tabularnewline
31 & 13 & 17.8754 & 20.7917 & -2.91623 & -4.87543 \tabularnewline
32 & 20 & 24.1879 & 26.4167 & -2.22873 & -4.18793 \tabularnewline
33 & 21 & 30.0942 & 32.625 & -2.53082 & -9.09418 \tabularnewline
34 & 37 & 33.5942 & 38.4583 & -4.86415 & 3.40582 \tabularnewline
35 & 52 & 42.9431 & 43.5 & -0.556858 & 9.05686 \tabularnewline
36 & 59 & 51.0525 & 48.4167 & 2.63585 & 7.94748 \tabularnewline
37 & 66 & 58.1046 & 52.875 & 5.2296 & 7.8954 \tabularnewline
38 & 73 & 60.5056 & 56 & 4.50564 & 12.4944 \tabularnewline
39 & 71 & 61.3963 & 58.4583 & 2.93793 & 9.60373 \tabularnewline
40 & 69 & 60.1619 & 60.2083 & -0.046441 & 8.83811 \tabularnewline
41 & 63 & 58.1202 & 60.5417 & -2.42144 & 4.87977 \tabularnewline
42 & 68 & 60.6306 & 60.375 & 0.255642 & 7.36936 \tabularnewline
43 & 58 & 57.3338 & 60.25 & -2.91623 & 0.666233 \tabularnewline
44 & 50 & 57.4379 & 59.6667 & -2.22873 & -7.43793 \tabularnewline
45 & 50 & 56.0942 & 58.625 & -2.53082 & -6.09418 \tabularnewline
46 & 50 & 51.8442 & 56.7083 & -4.86415 & -1.84418 \tabularnewline
47 & 47 & 54.1098 & 54.6667 & -0.556858 & -7.10981 \tabularnewline
48 & 60 & 55.3442 & 52.7083 & 2.63585 & 4.65582 \tabularnewline
49 & 62 & 55.3963 & 50.1667 & 5.2296 & 6.60373 \tabularnewline
50 & 63 & 52.2973 & 47.7917 & 4.50564 & 10.7027 \tabularnewline
51 & 56 & 48.3963 & 45.4583 & 2.93793 & 7.60373 \tabularnewline
52 & 38 & 42.6202 & 42.6667 & -0.046441 & -4.62023 \tabularnewline
53 & 45 & 37.0369 & 39.4583 & -2.42144 & 7.96311 \tabularnewline
54 & 39 & 35.6723 & 35.4167 & 0.255642 & 3.32769 \tabularnewline
55 & 26 & 27.7921 & 30.7083 & -2.91623 & -1.7921 \tabularnewline
56 & 25 & 23.3546 & 25.5833 & -2.22873 & 1.6454 \tabularnewline
57 & 19 & 17.7609 & 20.2917 & -2.53082 & 1.23915 \tabularnewline
58 & 14 & 11.3025 & 16.1667 & -4.86415 & 2.69748 \tabularnewline
59 & 6 & 11.9015 & 12.4583 & -0.556858 & -5.90148 \tabularnewline
60 & 4 & 11.5109 & 8.875 & 2.63585 & -7.51085 \tabularnewline
61 & 5 & 11.4379 & 6.20833 & 5.2296 & -6.43793 \tabularnewline
62 & -3 & 9.04731 & 4.54167 & 4.50564 & -12.0473 \tabularnewline
63 & -5 & 6.89627 & 3.95833 & 2.93793 & -11.8963 \tabularnewline
64 & 0 & 3.91189 & 3.95833 & -0.046441 & -3.91189 \tabularnewline
65 & -6 & 2.45356 & 4.875 & -2.42144 & -8.45356 \tabularnewline
66 & 4 & 6.79731 & 6.54167 & 0.255642 & -2.79731 \tabularnewline
67 & -3 & 5.5421 & 8.45833 & -2.91623 & -8.5421 \tabularnewline
68 & 14 & 9.52127 & 11.75 & -2.22873 & 4.47873 \tabularnewline
69 & 16 & 12.9692 & 15.5 & -2.53082 & 3.03082 \tabularnewline
70 & 17 & 13.4275 & 18.2917 & -4.86415 & 3.57248 \tabularnewline
71 & 25 & 20.3181 & 20.875 & -0.556858 & 4.68186 \tabularnewline
72 & 25 & 26.0942 & 23.4583 & 2.63585 & -1.09418 \tabularnewline
73 & 30 & 31.7296 & 26.5 & 5.2296 & -1.7296 \tabularnewline
74 & 51 & 34.1723 & 29.6667 & 4.50564 & 16.8277 \tabularnewline
75 & 31 & 35.0629 & 32.125 & 2.93793 & -4.06293 \tabularnewline
76 & 31 & 34.3702 & 34.4167 & -0.046441 & -3.37023 \tabularnewline
77 & 25 & 34.7452 & 37.1667 & -2.42144 & -9.74523 \tabularnewline
78 & 35 & 40.1723 & 39.9167 & 0.255642 & -5.17231 \tabularnewline
79 & 39 & 39.6254 & 42.5417 & -2.91623 & -0.625434 \tabularnewline
80 & 48 & 41.4379 & 43.6667 & -2.22873 & 6.56207 \tabularnewline
81 & 41 & 42.1775 & 44.7083 & -2.53082 & -1.17752 \tabularnewline
82 & 47 & 42.1359 & 47 & -4.86415 & 4.86415 \tabularnewline
83 & 61 & 48.4848 & 49.0417 & -0.556858 & 12.5152 \tabularnewline
84 & 55 & 53.4275 & 50.7917 & 2.63585 & 1.57248 \tabularnewline
85 & 63 & 56.9796 & 51.75 & 5.2296 & 6.0204 \tabularnewline
86 & 45 & 56.0056 & 51.5 & 4.50564 & -11.0056 \tabularnewline
87 & 62 & 53.8963 & 50.9583 & 2.93793 & 8.10373 \tabularnewline
88 & 55 & 50.2452 & 50.2917 & -0.046441 & 4.75477 \tabularnewline
89 & 50 & 45.9119 & 48.3333 & -2.42144 & 4.08811 \tabularnewline
90 & 52 & 45.964 & 45.7083 & 0.255642 & 6.03602 \tabularnewline
91 & 45 & 40.0421 & 42.9583 & -2.91623 & 4.9579 \tabularnewline
92 & 36 & 38.5213 & 40.75 & -2.22873 & -2.52127 \tabularnewline
93 & 40 & 36.2609 & 38.7917 & -2.53082 & 3.73915 \tabularnewline
94 & 32 & 31.8025 & 36.6667 & -4.86415 & 0.197483 \tabularnewline
95 & 29 & 34.1098 & 34.6667 & -0.556858 & -5.10981 \tabularnewline
96 & 24 & 35.1359 & 32.5 & 2.63585 & -11.1359 \tabularnewline
97 & 28 & 36.3546 & 31.125 & 5.2296 & -8.3546 \tabularnewline
98 & 27 & 35.1723 & 30.6667 & 4.50564 & -8.17231 \tabularnewline
99 & 33 & 33.0213 & 30.0833 & 2.93793 & -0.0212674 \tabularnewline
100 & 33 & 29.3702 & 29.4167 & -0.046441 & 3.62977 \tabularnewline
101 & 24 & 26.4119 & 28.8333 & -2.42144 & -2.41189 \tabularnewline
102 & 26 & 28.6306 & 28.375 & 0.255642 & -2.63064 \tabularnewline
103 & 38 & NA & NA & -2.91623 & NA \tabularnewline
104 & 32 & NA & NA & -2.22873 & NA \tabularnewline
105 & 30 & NA & NA & -2.53082 & NA \tabularnewline
106 & 26 & NA & NA & -4.86415 & NA \tabularnewline
107 & 21 & NA & NA & -0.556858 & NA \tabularnewline
108 & 21 & NA & NA & 2.63585 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279509&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]20[/C][C]NA[/C][C]NA[/C][C]5.2296[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]23[/C][C]NA[/C][C]NA[/C][C]4.50564[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]27[/C][C]NA[/C][C]NA[/C][C]2.93793[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]23[/C][C]NA[/C][C]NA[/C][C]-0.046441[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]21[/C][C]NA[/C][C]NA[/C][C]-2.42144[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]18[/C][C]NA[/C][C]NA[/C][C]0.255642[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]16[/C][C]13.2088[/C][C]16.125[/C][C]-2.91623[/C][C]2.79123[/C][/ROW]
[ROW][C]8[/C][C]11[/C][C]13.0213[/C][C]15.25[/C][C]-2.22873[/C][C]-2.02127[/C][/ROW]
[ROW][C]9[/C][C]14[/C][C]11.5525[/C][C]14.0833[/C][C]-2.53082[/C][C]2.44748[/C][/ROW]
[ROW][C]10[/C][C]-3[/C][C]7.71918[/C][C]12.5833[/C][C]-4.86415[/C][C]-10.7192[/C][/ROW]
[ROW][C]11[/C][C]2[/C][C]10.6515[/C][C]11.2083[/C][C]-0.556858[/C][C]-8.65148[/C][/ROW]
[ROW][C]12[/C][C]26[/C][C]12.8859[/C][C]10.25[/C][C]2.63585[/C][C]13.1141[/C][/ROW]
[ROW][C]13[/C][C]11[/C][C]14.6879[/C][C]9.45833[/C][C]5.2296[/C][C]-3.68793[/C][/ROW]
[ROW][C]14[/C][C]11[/C][C]13.2556[/C][C]8.75[/C][C]4.50564[/C][C]-2.25564[/C][/ROW]
[ROW][C]15[/C][C]11[/C][C]10.9379[/C][C]8[/C][C]2.93793[/C][C]0.062066[/C][/ROW]
[ROW][C]16[/C][C]3[/C][C]7.37023[/C][C]7.41667[/C][C]-0.046441[/C][C]-4.37023[/C][/ROW]
[ROW][C]17[/C][C]8[/C][C]4.74523[/C][C]7.16667[/C][C]-2.42144[/C][C]3.25477[/C][/ROW]
[ROW][C]18[/C][C]8[/C][C]6.04731[/C][C]5.79167[/C][C]0.255642[/C][C]1.95269[/C][/ROW]
[ROW][C]19[/C][C]7[/C][C]1.33377[/C][C]4.25[/C][C]-2.91623[/C][C]5.66623[/C][/ROW]
[ROW][C]20[/C][C]3[/C][C]1.27127[/C][C]3.5[/C][C]-2.22873[/C][C]1.72873[/C][/ROW]
[ROW][C]21[/C][C]4[/C][C]-0.155816[/C][C]2.375[/C][C]-2.53082[/C][C]4.15582[/C][/ROW]
[ROW][C]22[/C][C]-7[/C][C]-3.07248[/C][C]1.79167[/C][C]-4.86415[/C][C]-3.92752[/C][/ROW]
[ROW][C]23[/C][C]0[/C][C]1.23481[/C][C]1.79167[/C][C]-0.556858[/C][C]-1.23481[/C][/ROW]
[ROW][C]24[/C][C]-5[/C][C]4.30252[/C][C]1.66667[/C][C]2.63585[/C][C]-9.30252[/C][/ROW]
[ROW][C]25[/C][C]5[/C][C]7.06293[/C][C]1.83333[/C][C]5.2296[/C][C]-2.06293[/C][/ROW]
[ROW][C]26[/C][C]-1[/C][C]7.29731[/C][C]2.79167[/C][C]4.50564[/C][C]-8.29731[/C][/ROW]
[ROW][C]27[/C][C]-4[/C][C]7.14627[/C][C]4.20833[/C][C]2.93793[/C][C]-11.1463[/C][/ROW]
[ROW][C]28[/C][C]4[/C][C]6.70356[/C][C]6.75[/C][C]-0.046441[/C][C]-2.70356[/C][/ROW]
[ROW][C]29[/C][C]7[/C][C]8.32856[/C][C]10.75[/C][C]-2.42144[/C][C]-1.32856[/C][/ROW]
[ROW][C]30[/C][C]6[/C][C]15.839[/C][C]15.5833[/C][C]0.255642[/C][C]-9.83898[/C][/ROW]
[ROW][C]31[/C][C]13[/C][C]17.8754[/C][C]20.7917[/C][C]-2.91623[/C][C]-4.87543[/C][/ROW]
[ROW][C]32[/C][C]20[/C][C]24.1879[/C][C]26.4167[/C][C]-2.22873[/C][C]-4.18793[/C][/ROW]
[ROW][C]33[/C][C]21[/C][C]30.0942[/C][C]32.625[/C][C]-2.53082[/C][C]-9.09418[/C][/ROW]
[ROW][C]34[/C][C]37[/C][C]33.5942[/C][C]38.4583[/C][C]-4.86415[/C][C]3.40582[/C][/ROW]
[ROW][C]35[/C][C]52[/C][C]42.9431[/C][C]43.5[/C][C]-0.556858[/C][C]9.05686[/C][/ROW]
[ROW][C]36[/C][C]59[/C][C]51.0525[/C][C]48.4167[/C][C]2.63585[/C][C]7.94748[/C][/ROW]
[ROW][C]37[/C][C]66[/C][C]58.1046[/C][C]52.875[/C][C]5.2296[/C][C]7.8954[/C][/ROW]
[ROW][C]38[/C][C]73[/C][C]60.5056[/C][C]56[/C][C]4.50564[/C][C]12.4944[/C][/ROW]
[ROW][C]39[/C][C]71[/C][C]61.3963[/C][C]58.4583[/C][C]2.93793[/C][C]9.60373[/C][/ROW]
[ROW][C]40[/C][C]69[/C][C]60.1619[/C][C]60.2083[/C][C]-0.046441[/C][C]8.83811[/C][/ROW]
[ROW][C]41[/C][C]63[/C][C]58.1202[/C][C]60.5417[/C][C]-2.42144[/C][C]4.87977[/C][/ROW]
[ROW][C]42[/C][C]68[/C][C]60.6306[/C][C]60.375[/C][C]0.255642[/C][C]7.36936[/C][/ROW]
[ROW][C]43[/C][C]58[/C][C]57.3338[/C][C]60.25[/C][C]-2.91623[/C][C]0.666233[/C][/ROW]
[ROW][C]44[/C][C]50[/C][C]57.4379[/C][C]59.6667[/C][C]-2.22873[/C][C]-7.43793[/C][/ROW]
[ROW][C]45[/C][C]50[/C][C]56.0942[/C][C]58.625[/C][C]-2.53082[/C][C]-6.09418[/C][/ROW]
[ROW][C]46[/C][C]50[/C][C]51.8442[/C][C]56.7083[/C][C]-4.86415[/C][C]-1.84418[/C][/ROW]
[ROW][C]47[/C][C]47[/C][C]54.1098[/C][C]54.6667[/C][C]-0.556858[/C][C]-7.10981[/C][/ROW]
[ROW][C]48[/C][C]60[/C][C]55.3442[/C][C]52.7083[/C][C]2.63585[/C][C]4.65582[/C][/ROW]
[ROW][C]49[/C][C]62[/C][C]55.3963[/C][C]50.1667[/C][C]5.2296[/C][C]6.60373[/C][/ROW]
[ROW][C]50[/C][C]63[/C][C]52.2973[/C][C]47.7917[/C][C]4.50564[/C][C]10.7027[/C][/ROW]
[ROW][C]51[/C][C]56[/C][C]48.3963[/C][C]45.4583[/C][C]2.93793[/C][C]7.60373[/C][/ROW]
[ROW][C]52[/C][C]38[/C][C]42.6202[/C][C]42.6667[/C][C]-0.046441[/C][C]-4.62023[/C][/ROW]
[ROW][C]53[/C][C]45[/C][C]37.0369[/C][C]39.4583[/C][C]-2.42144[/C][C]7.96311[/C][/ROW]
[ROW][C]54[/C][C]39[/C][C]35.6723[/C][C]35.4167[/C][C]0.255642[/C][C]3.32769[/C][/ROW]
[ROW][C]55[/C][C]26[/C][C]27.7921[/C][C]30.7083[/C][C]-2.91623[/C][C]-1.7921[/C][/ROW]
[ROW][C]56[/C][C]25[/C][C]23.3546[/C][C]25.5833[/C][C]-2.22873[/C][C]1.6454[/C][/ROW]
[ROW][C]57[/C][C]19[/C][C]17.7609[/C][C]20.2917[/C][C]-2.53082[/C][C]1.23915[/C][/ROW]
[ROW][C]58[/C][C]14[/C][C]11.3025[/C][C]16.1667[/C][C]-4.86415[/C][C]2.69748[/C][/ROW]
[ROW][C]59[/C][C]6[/C][C]11.9015[/C][C]12.4583[/C][C]-0.556858[/C][C]-5.90148[/C][/ROW]
[ROW][C]60[/C][C]4[/C][C]11.5109[/C][C]8.875[/C][C]2.63585[/C][C]-7.51085[/C][/ROW]
[ROW][C]61[/C][C]5[/C][C]11.4379[/C][C]6.20833[/C][C]5.2296[/C][C]-6.43793[/C][/ROW]
[ROW][C]62[/C][C]-3[/C][C]9.04731[/C][C]4.54167[/C][C]4.50564[/C][C]-12.0473[/C][/ROW]
[ROW][C]63[/C][C]-5[/C][C]6.89627[/C][C]3.95833[/C][C]2.93793[/C][C]-11.8963[/C][/ROW]
[ROW][C]64[/C][C]0[/C][C]3.91189[/C][C]3.95833[/C][C]-0.046441[/C][C]-3.91189[/C][/ROW]
[ROW][C]65[/C][C]-6[/C][C]2.45356[/C][C]4.875[/C][C]-2.42144[/C][C]-8.45356[/C][/ROW]
[ROW][C]66[/C][C]4[/C][C]6.79731[/C][C]6.54167[/C][C]0.255642[/C][C]-2.79731[/C][/ROW]
[ROW][C]67[/C][C]-3[/C][C]5.5421[/C][C]8.45833[/C][C]-2.91623[/C][C]-8.5421[/C][/ROW]
[ROW][C]68[/C][C]14[/C][C]9.52127[/C][C]11.75[/C][C]-2.22873[/C][C]4.47873[/C][/ROW]
[ROW][C]69[/C][C]16[/C][C]12.9692[/C][C]15.5[/C][C]-2.53082[/C][C]3.03082[/C][/ROW]
[ROW][C]70[/C][C]17[/C][C]13.4275[/C][C]18.2917[/C][C]-4.86415[/C][C]3.57248[/C][/ROW]
[ROW][C]71[/C][C]25[/C][C]20.3181[/C][C]20.875[/C][C]-0.556858[/C][C]4.68186[/C][/ROW]
[ROW][C]72[/C][C]25[/C][C]26.0942[/C][C]23.4583[/C][C]2.63585[/C][C]-1.09418[/C][/ROW]
[ROW][C]73[/C][C]30[/C][C]31.7296[/C][C]26.5[/C][C]5.2296[/C][C]-1.7296[/C][/ROW]
[ROW][C]74[/C][C]51[/C][C]34.1723[/C][C]29.6667[/C][C]4.50564[/C][C]16.8277[/C][/ROW]
[ROW][C]75[/C][C]31[/C][C]35.0629[/C][C]32.125[/C][C]2.93793[/C][C]-4.06293[/C][/ROW]
[ROW][C]76[/C][C]31[/C][C]34.3702[/C][C]34.4167[/C][C]-0.046441[/C][C]-3.37023[/C][/ROW]
[ROW][C]77[/C][C]25[/C][C]34.7452[/C][C]37.1667[/C][C]-2.42144[/C][C]-9.74523[/C][/ROW]
[ROW][C]78[/C][C]35[/C][C]40.1723[/C][C]39.9167[/C][C]0.255642[/C][C]-5.17231[/C][/ROW]
[ROW][C]79[/C][C]39[/C][C]39.6254[/C][C]42.5417[/C][C]-2.91623[/C][C]-0.625434[/C][/ROW]
[ROW][C]80[/C][C]48[/C][C]41.4379[/C][C]43.6667[/C][C]-2.22873[/C][C]6.56207[/C][/ROW]
[ROW][C]81[/C][C]41[/C][C]42.1775[/C][C]44.7083[/C][C]-2.53082[/C][C]-1.17752[/C][/ROW]
[ROW][C]82[/C][C]47[/C][C]42.1359[/C][C]47[/C][C]-4.86415[/C][C]4.86415[/C][/ROW]
[ROW][C]83[/C][C]61[/C][C]48.4848[/C][C]49.0417[/C][C]-0.556858[/C][C]12.5152[/C][/ROW]
[ROW][C]84[/C][C]55[/C][C]53.4275[/C][C]50.7917[/C][C]2.63585[/C][C]1.57248[/C][/ROW]
[ROW][C]85[/C][C]63[/C][C]56.9796[/C][C]51.75[/C][C]5.2296[/C][C]6.0204[/C][/ROW]
[ROW][C]86[/C][C]45[/C][C]56.0056[/C][C]51.5[/C][C]4.50564[/C][C]-11.0056[/C][/ROW]
[ROW][C]87[/C][C]62[/C][C]53.8963[/C][C]50.9583[/C][C]2.93793[/C][C]8.10373[/C][/ROW]
[ROW][C]88[/C][C]55[/C][C]50.2452[/C][C]50.2917[/C][C]-0.046441[/C][C]4.75477[/C][/ROW]
[ROW][C]89[/C][C]50[/C][C]45.9119[/C][C]48.3333[/C][C]-2.42144[/C][C]4.08811[/C][/ROW]
[ROW][C]90[/C][C]52[/C][C]45.964[/C][C]45.7083[/C][C]0.255642[/C][C]6.03602[/C][/ROW]
[ROW][C]91[/C][C]45[/C][C]40.0421[/C][C]42.9583[/C][C]-2.91623[/C][C]4.9579[/C][/ROW]
[ROW][C]92[/C][C]36[/C][C]38.5213[/C][C]40.75[/C][C]-2.22873[/C][C]-2.52127[/C][/ROW]
[ROW][C]93[/C][C]40[/C][C]36.2609[/C][C]38.7917[/C][C]-2.53082[/C][C]3.73915[/C][/ROW]
[ROW][C]94[/C][C]32[/C][C]31.8025[/C][C]36.6667[/C][C]-4.86415[/C][C]0.197483[/C][/ROW]
[ROW][C]95[/C][C]29[/C][C]34.1098[/C][C]34.6667[/C][C]-0.556858[/C][C]-5.10981[/C][/ROW]
[ROW][C]96[/C][C]24[/C][C]35.1359[/C][C]32.5[/C][C]2.63585[/C][C]-11.1359[/C][/ROW]
[ROW][C]97[/C][C]28[/C][C]36.3546[/C][C]31.125[/C][C]5.2296[/C][C]-8.3546[/C][/ROW]
[ROW][C]98[/C][C]27[/C][C]35.1723[/C][C]30.6667[/C][C]4.50564[/C][C]-8.17231[/C][/ROW]
[ROW][C]99[/C][C]33[/C][C]33.0213[/C][C]30.0833[/C][C]2.93793[/C][C]-0.0212674[/C][/ROW]
[ROW][C]100[/C][C]33[/C][C]29.3702[/C][C]29.4167[/C][C]-0.046441[/C][C]3.62977[/C][/ROW]
[ROW][C]101[/C][C]24[/C][C]26.4119[/C][C]28.8333[/C][C]-2.42144[/C][C]-2.41189[/C][/ROW]
[ROW][C]102[/C][C]26[/C][C]28.6306[/C][C]28.375[/C][C]0.255642[/C][C]-2.63064[/C][/ROW]
[ROW][C]103[/C][C]38[/C][C]NA[/C][C]NA[/C][C]-2.91623[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]32[/C][C]NA[/C][C]NA[/C][C]-2.22873[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]30[/C][C]NA[/C][C]NA[/C][C]-2.53082[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]26[/C][C]NA[/C][C]NA[/C][C]-4.86415[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]21[/C][C]NA[/C][C]NA[/C][C]-0.556858[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]21[/C][C]NA[/C][C]NA[/C][C]2.63585[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279509&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279509&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
120NANA5.2296NA
223NANA4.50564NA
327NANA2.93793NA
423NANA-0.046441NA
521NANA-2.42144NA
618NANA0.255642NA
71613.208816.125-2.916232.79123
81113.021315.25-2.22873-2.02127
91411.552514.0833-2.530822.44748
10-37.7191812.5833-4.86415-10.7192
11210.651511.2083-0.556858-8.65148
122612.885910.252.6358513.1141
131114.68799.458335.2296-3.68793
141113.25568.754.50564-2.25564
151110.937982.937930.062066
1637.370237.41667-0.046441-4.37023
1784.745237.16667-2.421443.25477
1886.047315.791670.2556421.95269
1971.333774.25-2.916235.66623
2031.271273.5-2.228731.72873
214-0.1558162.375-2.530824.15582
22-7-3.072481.79167-4.86415-3.92752
2301.234811.79167-0.556858-1.23481
24-54.302521.666672.63585-9.30252
2557.062931.833335.2296-2.06293
26-17.297312.791674.50564-8.29731
27-47.146274.208332.93793-11.1463
2846.703566.75-0.046441-2.70356
2978.3285610.75-2.42144-1.32856
30615.83915.58330.255642-9.83898
311317.875420.7917-2.91623-4.87543
322024.187926.4167-2.22873-4.18793
332130.094232.625-2.53082-9.09418
343733.594238.4583-4.864153.40582
355242.943143.5-0.5568589.05686
365951.052548.41672.635857.94748
376658.104652.8755.22967.8954
387360.5056564.5056412.4944
397161.396358.45832.937939.60373
406960.161960.2083-0.0464418.83811
416358.120260.5417-2.421444.87977
426860.630660.3750.2556427.36936
435857.333860.25-2.916230.666233
445057.437959.6667-2.22873-7.43793
455056.094258.625-2.53082-6.09418
465051.844256.7083-4.86415-1.84418
474754.109854.6667-0.556858-7.10981
486055.344252.70832.635854.65582
496255.396350.16675.22966.60373
506352.297347.79174.5056410.7027
515648.396345.45832.937937.60373
523842.620242.6667-0.046441-4.62023
534537.036939.4583-2.421447.96311
543935.672335.41670.2556423.32769
552627.792130.7083-2.91623-1.7921
562523.354625.5833-2.228731.6454
571917.760920.2917-2.530821.23915
581411.302516.1667-4.864152.69748
59611.901512.4583-0.556858-5.90148
60411.51098.8752.63585-7.51085
61511.43796.208335.2296-6.43793
62-39.047314.541674.50564-12.0473
63-56.896273.958332.93793-11.8963
6403.911893.95833-0.046441-3.91189
65-62.453564.875-2.42144-8.45356
6646.797316.541670.255642-2.79731
67-35.54218.45833-2.91623-8.5421
68149.5212711.75-2.228734.47873
691612.969215.5-2.530823.03082
701713.427518.2917-4.864153.57248
712520.318120.875-0.5568584.68186
722526.094223.45832.63585-1.09418
733031.729626.55.2296-1.7296
745134.172329.66674.5056416.8277
753135.062932.1252.93793-4.06293
763134.370234.4167-0.046441-3.37023
772534.745237.1667-2.42144-9.74523
783540.172339.91670.255642-5.17231
793939.625442.5417-2.91623-0.625434
804841.437943.6667-2.228736.56207
814142.177544.7083-2.53082-1.17752
824742.135947-4.864154.86415
836148.484849.0417-0.55685812.5152
845553.427550.79172.635851.57248
856356.979651.755.22966.0204
864556.005651.54.50564-11.0056
876253.896350.95832.937938.10373
885550.245250.2917-0.0464414.75477
895045.911948.3333-2.421444.08811
905245.96445.70830.2556426.03602
914540.042142.9583-2.916234.9579
923638.521340.75-2.22873-2.52127
934036.260938.7917-2.530823.73915
943231.802536.6667-4.864150.197483
952934.109834.6667-0.556858-5.10981
962435.135932.52.63585-11.1359
972836.354631.1255.2296-8.3546
982735.172330.66674.50564-8.17231
993333.021330.08332.93793-0.0212674
1003329.370229.4167-0.0464413.62977
1012426.411928.8333-2.42144-2.41189
1022628.630628.3750.255642-2.63064
10338NANA-2.91623NA
10432NANA-2.22873NA
10530NANA-2.53082NA
10626NANA-4.86415NA
10721NANA-0.556858NA
10821NANA2.63585NA



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')