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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 02 Apr 2015 20:11:55 +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/Apr/02/t1428001999vii7p73hljp404v.htm/, Retrieved Thu, 09 May 2024 08:33:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278630, Retrieved Thu, 09 May 2024 08:33:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-04-02 19:11:55] [9cc41cf98ef45bbf4afe09924481aae1] [Current]
- R P     [Classical Decomposition] [] [2015-05-18 09:21:13] [e987c12be1fa9f56fc1f6f99845a7dc4]
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Dataseries X:
50
45
43
40
43
47
44
41
31
41
40
31
43
22
17
21
29
23
15
24
24
27
17
22
26
12
13
20
15
23
27
17
22
16
20
8
24
18
28
25
11
33
34
23
13
23
26
15
29
23
26
17
32
25
26
32
24
24
28
26
27
45
47
29
40
25
35
26
32
21
32
16
35
19
28
29
29
26
35
38
27
28
29
26
40
20
28
34
38
32
51
27
23
44
37
26




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278630&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278630&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278630&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
150NANA5.53968NA
245NANA-3.70437NA
343NANA0.426587NA
440NANA-1.25794NA
543NANA1.45635NA
647NANA0.503968NA
74444.634941.04173.59325-0.634921
84141.450439.79171.65873-0.450397
93135.646837.75-2.10317-4.64683
104134.896835.875-0.9781756.10317
114035.301634.50.8015874.69841
123126.980232.9167-5.936514.01984
134336.24830.70835.539686.75198
142225.087328.7917-3.70437-3.0873
151728.218327.79170.426587-11.2183
162125.658726.9167-1.25794-4.65873
172926.831325.3751.456352.16865
182324.545624.04170.503968-1.54563
191526.551622.95833.59325-11.5516
202423.492121.83331.658730.507937
212419.146821.25-2.103174.85317
222720.063521.0417-0.9781756.93651
231721.218320.41670.801587-4.21825
242213.896819.8333-5.936518.10317
252625.87320.33335.539680.126984
261216.837320.5417-3.70437-4.8373
271320.593320.16670.426587-7.59325
282018.367119.625-1.257941.63294
291520.74819.29171.45635-5.74802
302319.337318.83330.5039683.6627
312721.759918.16673.593255.24008
321719.992118.33331.65873-2.99206
332217.105219.2083-2.103174.89484
341619.063520.0417-0.978175-3.06349
352020.884920.08330.801587-0.884921
36814.396820.3333-5.93651-6.39683
372426.581321.04175.53968-2.58135
381817.87921.5833-3.704370.121032
392821.884921.45830.4265876.11508
402520.117121.375-1.257944.88294
411123.37321.91671.45635-12.373
423322.962322.45830.50396810.0377
433426.551622.95833.593257.44841
442325.033723.3751.65873-2.03373
451321.396823.5-2.10317-8.39683
462322.105223.0833-0.9781750.894841
472624.426623.6250.8015871.57341
481518.230224.1667-5.93651-3.23016
492929.039723.55.53968-0.0396825
502319.837323.5417-3.704373.1627
512624.801624.3750.4265871.19841
521723.617124.875-1.25794-6.61706
533226.4563251.456355.54365
542526.045625.54170.503968-1.04563
552629.509925.91673.59325-3.50992
563228.408726.751.658733.59127
572426.438528.5417-2.10317-2.43849
582428.938529.9167-0.978175-4.93849
592831.551630.750.801587-3.55159
602625.146831.0833-5.936510.853175
612736.99831.45835.53968-9.99802
624527.87931.5833-3.7043717.121
634732.093331.66670.42658714.9067
642930.617131.875-1.25794-1.61706
654033.37331.91671.456356.62698
662532.170631.66670.503968-7.17063
673535.176631.58333.59325-0.176587
682632.492130.83331.65873-6.49206
693226.855228.9583-2.103175.14484
702127.188528.1667-0.978175-6.18849
713228.509927.70830.8015873.49008
721621.355227.2917-5.93651-5.35516
733532.87327.33335.539682.12698
741924.12927.8333-3.70437-5.12897
752828.551628.1250.426587-0.551587
762926.950428.2083-1.257942.0496
772929.831328.3751.45635-0.831349
782629.170628.66670.503968-3.17063
793532.884929.29173.593252.11508
803831.200429.54171.658736.7996
812727.480229.5833-2.10317-0.480159
822828.813529.7917-0.978175-0.813492
832931.176630.3750.801587-2.17659
842625.063531-5.936510.936508
854037.456331.91675.539682.54365
862028.420632.125-3.70437-8.42063
872831.926631.50.426587-3.92659
883430.742132-1.257943.25794
893834.4563331.456353.54365
903233.837333.33330.503968-1.8373
9151NANA3.59325NA
9227NANA1.65873NA
9323NANA-2.10317NA
9444NANA-0.978175NA
9537NANA0.801587NA
9626NANA-5.93651NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 50 & NA & NA & 5.53968 & NA \tabularnewline
2 & 45 & NA & NA & -3.70437 & NA \tabularnewline
3 & 43 & NA & NA & 0.426587 & NA \tabularnewline
4 & 40 & NA & NA & -1.25794 & NA \tabularnewline
5 & 43 & NA & NA & 1.45635 & NA \tabularnewline
6 & 47 & NA & NA & 0.503968 & NA \tabularnewline
7 & 44 & 44.6349 & 41.0417 & 3.59325 & -0.634921 \tabularnewline
8 & 41 & 41.4504 & 39.7917 & 1.65873 & -0.450397 \tabularnewline
9 & 31 & 35.6468 & 37.75 & -2.10317 & -4.64683 \tabularnewline
10 & 41 & 34.8968 & 35.875 & -0.978175 & 6.10317 \tabularnewline
11 & 40 & 35.3016 & 34.5 & 0.801587 & 4.69841 \tabularnewline
12 & 31 & 26.9802 & 32.9167 & -5.93651 & 4.01984 \tabularnewline
13 & 43 & 36.248 & 30.7083 & 5.53968 & 6.75198 \tabularnewline
14 & 22 & 25.0873 & 28.7917 & -3.70437 & -3.0873 \tabularnewline
15 & 17 & 28.2183 & 27.7917 & 0.426587 & -11.2183 \tabularnewline
16 & 21 & 25.6587 & 26.9167 & -1.25794 & -4.65873 \tabularnewline
17 & 29 & 26.8313 & 25.375 & 1.45635 & 2.16865 \tabularnewline
18 & 23 & 24.5456 & 24.0417 & 0.503968 & -1.54563 \tabularnewline
19 & 15 & 26.5516 & 22.9583 & 3.59325 & -11.5516 \tabularnewline
20 & 24 & 23.4921 & 21.8333 & 1.65873 & 0.507937 \tabularnewline
21 & 24 & 19.1468 & 21.25 & -2.10317 & 4.85317 \tabularnewline
22 & 27 & 20.0635 & 21.0417 & -0.978175 & 6.93651 \tabularnewline
23 & 17 & 21.2183 & 20.4167 & 0.801587 & -4.21825 \tabularnewline
24 & 22 & 13.8968 & 19.8333 & -5.93651 & 8.10317 \tabularnewline
25 & 26 & 25.873 & 20.3333 & 5.53968 & 0.126984 \tabularnewline
26 & 12 & 16.8373 & 20.5417 & -3.70437 & -4.8373 \tabularnewline
27 & 13 & 20.5933 & 20.1667 & 0.426587 & -7.59325 \tabularnewline
28 & 20 & 18.3671 & 19.625 & -1.25794 & 1.63294 \tabularnewline
29 & 15 & 20.748 & 19.2917 & 1.45635 & -5.74802 \tabularnewline
30 & 23 & 19.3373 & 18.8333 & 0.503968 & 3.6627 \tabularnewline
31 & 27 & 21.7599 & 18.1667 & 3.59325 & 5.24008 \tabularnewline
32 & 17 & 19.9921 & 18.3333 & 1.65873 & -2.99206 \tabularnewline
33 & 22 & 17.1052 & 19.2083 & -2.10317 & 4.89484 \tabularnewline
34 & 16 & 19.0635 & 20.0417 & -0.978175 & -3.06349 \tabularnewline
35 & 20 & 20.8849 & 20.0833 & 0.801587 & -0.884921 \tabularnewline
36 & 8 & 14.3968 & 20.3333 & -5.93651 & -6.39683 \tabularnewline
37 & 24 & 26.5813 & 21.0417 & 5.53968 & -2.58135 \tabularnewline
38 & 18 & 17.879 & 21.5833 & -3.70437 & 0.121032 \tabularnewline
39 & 28 & 21.8849 & 21.4583 & 0.426587 & 6.11508 \tabularnewline
40 & 25 & 20.1171 & 21.375 & -1.25794 & 4.88294 \tabularnewline
41 & 11 & 23.373 & 21.9167 & 1.45635 & -12.373 \tabularnewline
42 & 33 & 22.9623 & 22.4583 & 0.503968 & 10.0377 \tabularnewline
43 & 34 & 26.5516 & 22.9583 & 3.59325 & 7.44841 \tabularnewline
44 & 23 & 25.0337 & 23.375 & 1.65873 & -2.03373 \tabularnewline
45 & 13 & 21.3968 & 23.5 & -2.10317 & -8.39683 \tabularnewline
46 & 23 & 22.1052 & 23.0833 & -0.978175 & 0.894841 \tabularnewline
47 & 26 & 24.4266 & 23.625 & 0.801587 & 1.57341 \tabularnewline
48 & 15 & 18.2302 & 24.1667 & -5.93651 & -3.23016 \tabularnewline
49 & 29 & 29.0397 & 23.5 & 5.53968 & -0.0396825 \tabularnewline
50 & 23 & 19.8373 & 23.5417 & -3.70437 & 3.1627 \tabularnewline
51 & 26 & 24.8016 & 24.375 & 0.426587 & 1.19841 \tabularnewline
52 & 17 & 23.6171 & 24.875 & -1.25794 & -6.61706 \tabularnewline
53 & 32 & 26.4563 & 25 & 1.45635 & 5.54365 \tabularnewline
54 & 25 & 26.0456 & 25.5417 & 0.503968 & -1.04563 \tabularnewline
55 & 26 & 29.5099 & 25.9167 & 3.59325 & -3.50992 \tabularnewline
56 & 32 & 28.4087 & 26.75 & 1.65873 & 3.59127 \tabularnewline
57 & 24 & 26.4385 & 28.5417 & -2.10317 & -2.43849 \tabularnewline
58 & 24 & 28.9385 & 29.9167 & -0.978175 & -4.93849 \tabularnewline
59 & 28 & 31.5516 & 30.75 & 0.801587 & -3.55159 \tabularnewline
60 & 26 & 25.1468 & 31.0833 & -5.93651 & 0.853175 \tabularnewline
61 & 27 & 36.998 & 31.4583 & 5.53968 & -9.99802 \tabularnewline
62 & 45 & 27.879 & 31.5833 & -3.70437 & 17.121 \tabularnewline
63 & 47 & 32.0933 & 31.6667 & 0.426587 & 14.9067 \tabularnewline
64 & 29 & 30.6171 & 31.875 & -1.25794 & -1.61706 \tabularnewline
65 & 40 & 33.373 & 31.9167 & 1.45635 & 6.62698 \tabularnewline
66 & 25 & 32.1706 & 31.6667 & 0.503968 & -7.17063 \tabularnewline
67 & 35 & 35.1766 & 31.5833 & 3.59325 & -0.176587 \tabularnewline
68 & 26 & 32.4921 & 30.8333 & 1.65873 & -6.49206 \tabularnewline
69 & 32 & 26.8552 & 28.9583 & -2.10317 & 5.14484 \tabularnewline
70 & 21 & 27.1885 & 28.1667 & -0.978175 & -6.18849 \tabularnewline
71 & 32 & 28.5099 & 27.7083 & 0.801587 & 3.49008 \tabularnewline
72 & 16 & 21.3552 & 27.2917 & -5.93651 & -5.35516 \tabularnewline
73 & 35 & 32.873 & 27.3333 & 5.53968 & 2.12698 \tabularnewline
74 & 19 & 24.129 & 27.8333 & -3.70437 & -5.12897 \tabularnewline
75 & 28 & 28.5516 & 28.125 & 0.426587 & -0.551587 \tabularnewline
76 & 29 & 26.9504 & 28.2083 & -1.25794 & 2.0496 \tabularnewline
77 & 29 & 29.8313 & 28.375 & 1.45635 & -0.831349 \tabularnewline
78 & 26 & 29.1706 & 28.6667 & 0.503968 & -3.17063 \tabularnewline
79 & 35 & 32.8849 & 29.2917 & 3.59325 & 2.11508 \tabularnewline
80 & 38 & 31.2004 & 29.5417 & 1.65873 & 6.7996 \tabularnewline
81 & 27 & 27.4802 & 29.5833 & -2.10317 & -0.480159 \tabularnewline
82 & 28 & 28.8135 & 29.7917 & -0.978175 & -0.813492 \tabularnewline
83 & 29 & 31.1766 & 30.375 & 0.801587 & -2.17659 \tabularnewline
84 & 26 & 25.0635 & 31 & -5.93651 & 0.936508 \tabularnewline
85 & 40 & 37.4563 & 31.9167 & 5.53968 & 2.54365 \tabularnewline
86 & 20 & 28.4206 & 32.125 & -3.70437 & -8.42063 \tabularnewline
87 & 28 & 31.9266 & 31.5 & 0.426587 & -3.92659 \tabularnewline
88 & 34 & 30.7421 & 32 & -1.25794 & 3.25794 \tabularnewline
89 & 38 & 34.4563 & 33 & 1.45635 & 3.54365 \tabularnewline
90 & 32 & 33.8373 & 33.3333 & 0.503968 & -1.8373 \tabularnewline
91 & 51 & NA & NA & 3.59325 & NA \tabularnewline
92 & 27 & NA & NA & 1.65873 & NA \tabularnewline
93 & 23 & NA & NA & -2.10317 & NA \tabularnewline
94 & 44 & NA & NA & -0.978175 & NA \tabularnewline
95 & 37 & NA & NA & 0.801587 & NA \tabularnewline
96 & 26 & NA & NA & -5.93651 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278630&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]50[/C][C]NA[/C][C]NA[/C][C]5.53968[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]45[/C][C]NA[/C][C]NA[/C][C]-3.70437[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]43[/C][C]NA[/C][C]NA[/C][C]0.426587[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]40[/C][C]NA[/C][C]NA[/C][C]-1.25794[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]43[/C][C]NA[/C][C]NA[/C][C]1.45635[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]47[/C][C]NA[/C][C]NA[/C][C]0.503968[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]44.6349[/C][C]41.0417[/C][C]3.59325[/C][C]-0.634921[/C][/ROW]
[ROW][C]8[/C][C]41[/C][C]41.4504[/C][C]39.7917[/C][C]1.65873[/C][C]-0.450397[/C][/ROW]
[ROW][C]9[/C][C]31[/C][C]35.6468[/C][C]37.75[/C][C]-2.10317[/C][C]-4.64683[/C][/ROW]
[ROW][C]10[/C][C]41[/C][C]34.8968[/C][C]35.875[/C][C]-0.978175[/C][C]6.10317[/C][/ROW]
[ROW][C]11[/C][C]40[/C][C]35.3016[/C][C]34.5[/C][C]0.801587[/C][C]4.69841[/C][/ROW]
[ROW][C]12[/C][C]31[/C][C]26.9802[/C][C]32.9167[/C][C]-5.93651[/C][C]4.01984[/C][/ROW]
[ROW][C]13[/C][C]43[/C][C]36.248[/C][C]30.7083[/C][C]5.53968[/C][C]6.75198[/C][/ROW]
[ROW][C]14[/C][C]22[/C][C]25.0873[/C][C]28.7917[/C][C]-3.70437[/C][C]-3.0873[/C][/ROW]
[ROW][C]15[/C][C]17[/C][C]28.2183[/C][C]27.7917[/C][C]0.426587[/C][C]-11.2183[/C][/ROW]
[ROW][C]16[/C][C]21[/C][C]25.6587[/C][C]26.9167[/C][C]-1.25794[/C][C]-4.65873[/C][/ROW]
[ROW][C]17[/C][C]29[/C][C]26.8313[/C][C]25.375[/C][C]1.45635[/C][C]2.16865[/C][/ROW]
[ROW][C]18[/C][C]23[/C][C]24.5456[/C][C]24.0417[/C][C]0.503968[/C][C]-1.54563[/C][/ROW]
[ROW][C]19[/C][C]15[/C][C]26.5516[/C][C]22.9583[/C][C]3.59325[/C][C]-11.5516[/C][/ROW]
[ROW][C]20[/C][C]24[/C][C]23.4921[/C][C]21.8333[/C][C]1.65873[/C][C]0.507937[/C][/ROW]
[ROW][C]21[/C][C]24[/C][C]19.1468[/C][C]21.25[/C][C]-2.10317[/C][C]4.85317[/C][/ROW]
[ROW][C]22[/C][C]27[/C][C]20.0635[/C][C]21.0417[/C][C]-0.978175[/C][C]6.93651[/C][/ROW]
[ROW][C]23[/C][C]17[/C][C]21.2183[/C][C]20.4167[/C][C]0.801587[/C][C]-4.21825[/C][/ROW]
[ROW][C]24[/C][C]22[/C][C]13.8968[/C][C]19.8333[/C][C]-5.93651[/C][C]8.10317[/C][/ROW]
[ROW][C]25[/C][C]26[/C][C]25.873[/C][C]20.3333[/C][C]5.53968[/C][C]0.126984[/C][/ROW]
[ROW][C]26[/C][C]12[/C][C]16.8373[/C][C]20.5417[/C][C]-3.70437[/C][C]-4.8373[/C][/ROW]
[ROW][C]27[/C][C]13[/C][C]20.5933[/C][C]20.1667[/C][C]0.426587[/C][C]-7.59325[/C][/ROW]
[ROW][C]28[/C][C]20[/C][C]18.3671[/C][C]19.625[/C][C]-1.25794[/C][C]1.63294[/C][/ROW]
[ROW][C]29[/C][C]15[/C][C]20.748[/C][C]19.2917[/C][C]1.45635[/C][C]-5.74802[/C][/ROW]
[ROW][C]30[/C][C]23[/C][C]19.3373[/C][C]18.8333[/C][C]0.503968[/C][C]3.6627[/C][/ROW]
[ROW][C]31[/C][C]27[/C][C]21.7599[/C][C]18.1667[/C][C]3.59325[/C][C]5.24008[/C][/ROW]
[ROW][C]32[/C][C]17[/C][C]19.9921[/C][C]18.3333[/C][C]1.65873[/C][C]-2.99206[/C][/ROW]
[ROW][C]33[/C][C]22[/C][C]17.1052[/C][C]19.2083[/C][C]-2.10317[/C][C]4.89484[/C][/ROW]
[ROW][C]34[/C][C]16[/C][C]19.0635[/C][C]20.0417[/C][C]-0.978175[/C][C]-3.06349[/C][/ROW]
[ROW][C]35[/C][C]20[/C][C]20.8849[/C][C]20.0833[/C][C]0.801587[/C][C]-0.884921[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]14.3968[/C][C]20.3333[/C][C]-5.93651[/C][C]-6.39683[/C][/ROW]
[ROW][C]37[/C][C]24[/C][C]26.5813[/C][C]21.0417[/C][C]5.53968[/C][C]-2.58135[/C][/ROW]
[ROW][C]38[/C][C]18[/C][C]17.879[/C][C]21.5833[/C][C]-3.70437[/C][C]0.121032[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]21.8849[/C][C]21.4583[/C][C]0.426587[/C][C]6.11508[/C][/ROW]
[ROW][C]40[/C][C]25[/C][C]20.1171[/C][C]21.375[/C][C]-1.25794[/C][C]4.88294[/C][/ROW]
[ROW][C]41[/C][C]11[/C][C]23.373[/C][C]21.9167[/C][C]1.45635[/C][C]-12.373[/C][/ROW]
[ROW][C]42[/C][C]33[/C][C]22.9623[/C][C]22.4583[/C][C]0.503968[/C][C]10.0377[/C][/ROW]
[ROW][C]43[/C][C]34[/C][C]26.5516[/C][C]22.9583[/C][C]3.59325[/C][C]7.44841[/C][/ROW]
[ROW][C]44[/C][C]23[/C][C]25.0337[/C][C]23.375[/C][C]1.65873[/C][C]-2.03373[/C][/ROW]
[ROW][C]45[/C][C]13[/C][C]21.3968[/C][C]23.5[/C][C]-2.10317[/C][C]-8.39683[/C][/ROW]
[ROW][C]46[/C][C]23[/C][C]22.1052[/C][C]23.0833[/C][C]-0.978175[/C][C]0.894841[/C][/ROW]
[ROW][C]47[/C][C]26[/C][C]24.4266[/C][C]23.625[/C][C]0.801587[/C][C]1.57341[/C][/ROW]
[ROW][C]48[/C][C]15[/C][C]18.2302[/C][C]24.1667[/C][C]-5.93651[/C][C]-3.23016[/C][/ROW]
[ROW][C]49[/C][C]29[/C][C]29.0397[/C][C]23.5[/C][C]5.53968[/C][C]-0.0396825[/C][/ROW]
[ROW][C]50[/C][C]23[/C][C]19.8373[/C][C]23.5417[/C][C]-3.70437[/C][C]3.1627[/C][/ROW]
[ROW][C]51[/C][C]26[/C][C]24.8016[/C][C]24.375[/C][C]0.426587[/C][C]1.19841[/C][/ROW]
[ROW][C]52[/C][C]17[/C][C]23.6171[/C][C]24.875[/C][C]-1.25794[/C][C]-6.61706[/C][/ROW]
[ROW][C]53[/C][C]32[/C][C]26.4563[/C][C]25[/C][C]1.45635[/C][C]5.54365[/C][/ROW]
[ROW][C]54[/C][C]25[/C][C]26.0456[/C][C]25.5417[/C][C]0.503968[/C][C]-1.04563[/C][/ROW]
[ROW][C]55[/C][C]26[/C][C]29.5099[/C][C]25.9167[/C][C]3.59325[/C][C]-3.50992[/C][/ROW]
[ROW][C]56[/C][C]32[/C][C]28.4087[/C][C]26.75[/C][C]1.65873[/C][C]3.59127[/C][/ROW]
[ROW][C]57[/C][C]24[/C][C]26.4385[/C][C]28.5417[/C][C]-2.10317[/C][C]-2.43849[/C][/ROW]
[ROW][C]58[/C][C]24[/C][C]28.9385[/C][C]29.9167[/C][C]-0.978175[/C][C]-4.93849[/C][/ROW]
[ROW][C]59[/C][C]28[/C][C]31.5516[/C][C]30.75[/C][C]0.801587[/C][C]-3.55159[/C][/ROW]
[ROW][C]60[/C][C]26[/C][C]25.1468[/C][C]31.0833[/C][C]-5.93651[/C][C]0.853175[/C][/ROW]
[ROW][C]61[/C][C]27[/C][C]36.998[/C][C]31.4583[/C][C]5.53968[/C][C]-9.99802[/C][/ROW]
[ROW][C]62[/C][C]45[/C][C]27.879[/C][C]31.5833[/C][C]-3.70437[/C][C]17.121[/C][/ROW]
[ROW][C]63[/C][C]47[/C][C]32.0933[/C][C]31.6667[/C][C]0.426587[/C][C]14.9067[/C][/ROW]
[ROW][C]64[/C][C]29[/C][C]30.6171[/C][C]31.875[/C][C]-1.25794[/C][C]-1.61706[/C][/ROW]
[ROW][C]65[/C][C]40[/C][C]33.373[/C][C]31.9167[/C][C]1.45635[/C][C]6.62698[/C][/ROW]
[ROW][C]66[/C][C]25[/C][C]32.1706[/C][C]31.6667[/C][C]0.503968[/C][C]-7.17063[/C][/ROW]
[ROW][C]67[/C][C]35[/C][C]35.1766[/C][C]31.5833[/C][C]3.59325[/C][C]-0.176587[/C][/ROW]
[ROW][C]68[/C][C]26[/C][C]32.4921[/C][C]30.8333[/C][C]1.65873[/C][C]-6.49206[/C][/ROW]
[ROW][C]69[/C][C]32[/C][C]26.8552[/C][C]28.9583[/C][C]-2.10317[/C][C]5.14484[/C][/ROW]
[ROW][C]70[/C][C]21[/C][C]27.1885[/C][C]28.1667[/C][C]-0.978175[/C][C]-6.18849[/C][/ROW]
[ROW][C]71[/C][C]32[/C][C]28.5099[/C][C]27.7083[/C][C]0.801587[/C][C]3.49008[/C][/ROW]
[ROW][C]72[/C][C]16[/C][C]21.3552[/C][C]27.2917[/C][C]-5.93651[/C][C]-5.35516[/C][/ROW]
[ROW][C]73[/C][C]35[/C][C]32.873[/C][C]27.3333[/C][C]5.53968[/C][C]2.12698[/C][/ROW]
[ROW][C]74[/C][C]19[/C][C]24.129[/C][C]27.8333[/C][C]-3.70437[/C][C]-5.12897[/C][/ROW]
[ROW][C]75[/C][C]28[/C][C]28.5516[/C][C]28.125[/C][C]0.426587[/C][C]-0.551587[/C][/ROW]
[ROW][C]76[/C][C]29[/C][C]26.9504[/C][C]28.2083[/C][C]-1.25794[/C][C]2.0496[/C][/ROW]
[ROW][C]77[/C][C]29[/C][C]29.8313[/C][C]28.375[/C][C]1.45635[/C][C]-0.831349[/C][/ROW]
[ROW][C]78[/C][C]26[/C][C]29.1706[/C][C]28.6667[/C][C]0.503968[/C][C]-3.17063[/C][/ROW]
[ROW][C]79[/C][C]35[/C][C]32.8849[/C][C]29.2917[/C][C]3.59325[/C][C]2.11508[/C][/ROW]
[ROW][C]80[/C][C]38[/C][C]31.2004[/C][C]29.5417[/C][C]1.65873[/C][C]6.7996[/C][/ROW]
[ROW][C]81[/C][C]27[/C][C]27.4802[/C][C]29.5833[/C][C]-2.10317[/C][C]-0.480159[/C][/ROW]
[ROW][C]82[/C][C]28[/C][C]28.8135[/C][C]29.7917[/C][C]-0.978175[/C][C]-0.813492[/C][/ROW]
[ROW][C]83[/C][C]29[/C][C]31.1766[/C][C]30.375[/C][C]0.801587[/C][C]-2.17659[/C][/ROW]
[ROW][C]84[/C][C]26[/C][C]25.0635[/C][C]31[/C][C]-5.93651[/C][C]0.936508[/C][/ROW]
[ROW][C]85[/C][C]40[/C][C]37.4563[/C][C]31.9167[/C][C]5.53968[/C][C]2.54365[/C][/ROW]
[ROW][C]86[/C][C]20[/C][C]28.4206[/C][C]32.125[/C][C]-3.70437[/C][C]-8.42063[/C][/ROW]
[ROW][C]87[/C][C]28[/C][C]31.9266[/C][C]31.5[/C][C]0.426587[/C][C]-3.92659[/C][/ROW]
[ROW][C]88[/C][C]34[/C][C]30.7421[/C][C]32[/C][C]-1.25794[/C][C]3.25794[/C][/ROW]
[ROW][C]89[/C][C]38[/C][C]34.4563[/C][C]33[/C][C]1.45635[/C][C]3.54365[/C][/ROW]
[ROW][C]90[/C][C]32[/C][C]33.8373[/C][C]33.3333[/C][C]0.503968[/C][C]-1.8373[/C][/ROW]
[ROW][C]91[/C][C]51[/C][C]NA[/C][C]NA[/C][C]3.59325[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]27[/C][C]NA[/C][C]NA[/C][C]1.65873[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]23[/C][C]NA[/C][C]NA[/C][C]-2.10317[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]44[/C][C]NA[/C][C]NA[/C][C]-0.978175[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]37[/C][C]NA[/C][C]NA[/C][C]0.801587[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]26[/C][C]NA[/C][C]NA[/C][C]-5.93651[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278630&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278630&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
150NANA5.53968NA
245NANA-3.70437NA
343NANA0.426587NA
440NANA-1.25794NA
543NANA1.45635NA
647NANA0.503968NA
74444.634941.04173.59325-0.634921
84141.450439.79171.65873-0.450397
93135.646837.75-2.10317-4.64683
104134.896835.875-0.9781756.10317
114035.301634.50.8015874.69841
123126.980232.9167-5.936514.01984
134336.24830.70835.539686.75198
142225.087328.7917-3.70437-3.0873
151728.218327.79170.426587-11.2183
162125.658726.9167-1.25794-4.65873
172926.831325.3751.456352.16865
182324.545624.04170.503968-1.54563
191526.551622.95833.59325-11.5516
202423.492121.83331.658730.507937
212419.146821.25-2.103174.85317
222720.063521.0417-0.9781756.93651
231721.218320.41670.801587-4.21825
242213.896819.8333-5.936518.10317
252625.87320.33335.539680.126984
261216.837320.5417-3.70437-4.8373
271320.593320.16670.426587-7.59325
282018.367119.625-1.257941.63294
291520.74819.29171.45635-5.74802
302319.337318.83330.5039683.6627
312721.759918.16673.593255.24008
321719.992118.33331.65873-2.99206
332217.105219.2083-2.103174.89484
341619.063520.0417-0.978175-3.06349
352020.884920.08330.801587-0.884921
36814.396820.3333-5.93651-6.39683
372426.581321.04175.53968-2.58135
381817.87921.5833-3.704370.121032
392821.884921.45830.4265876.11508
402520.117121.375-1.257944.88294
411123.37321.91671.45635-12.373
423322.962322.45830.50396810.0377
433426.551622.95833.593257.44841
442325.033723.3751.65873-2.03373
451321.396823.5-2.10317-8.39683
462322.105223.0833-0.9781750.894841
472624.426623.6250.8015871.57341
481518.230224.1667-5.93651-3.23016
492929.039723.55.53968-0.0396825
502319.837323.5417-3.704373.1627
512624.801624.3750.4265871.19841
521723.617124.875-1.25794-6.61706
533226.4563251.456355.54365
542526.045625.54170.503968-1.04563
552629.509925.91673.59325-3.50992
563228.408726.751.658733.59127
572426.438528.5417-2.10317-2.43849
582428.938529.9167-0.978175-4.93849
592831.551630.750.801587-3.55159
602625.146831.0833-5.936510.853175
612736.99831.45835.53968-9.99802
624527.87931.5833-3.7043717.121
634732.093331.66670.42658714.9067
642930.617131.875-1.25794-1.61706
654033.37331.91671.456356.62698
662532.170631.66670.503968-7.17063
673535.176631.58333.59325-0.176587
682632.492130.83331.65873-6.49206
693226.855228.9583-2.103175.14484
702127.188528.1667-0.978175-6.18849
713228.509927.70830.8015873.49008
721621.355227.2917-5.93651-5.35516
733532.87327.33335.539682.12698
741924.12927.8333-3.70437-5.12897
752828.551628.1250.426587-0.551587
762926.950428.2083-1.257942.0496
772929.831328.3751.45635-0.831349
782629.170628.66670.503968-3.17063
793532.884929.29173.593252.11508
803831.200429.54171.658736.7996
812727.480229.5833-2.10317-0.480159
822828.813529.7917-0.978175-0.813492
832931.176630.3750.801587-2.17659
842625.063531-5.936510.936508
854037.456331.91675.539682.54365
862028.420632.125-3.70437-8.42063
872831.926631.50.426587-3.92659
883430.742132-1.257943.25794
893834.4563331.456353.54365
903233.837333.33330.503968-1.8373
9151NANA3.59325NA
9227NANA1.65873NA
9323NANA-2.10317NA
9444NANA-0.978175NA
9537NANA0.801587NA
9626NANA-5.93651NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
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')