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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 03 May 2012 06:21:44 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/03/t1336040600zpmnn7sgvhum528.htm/, Retrieved Thu, 02 May 2024 00:12:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166174, Retrieved Thu, 02 May 2024 00:12:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Decompositie Inde...] [2012-05-03 10:21:44] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
101.15
101.14
101.23
101.11
101.55
101.55
101.55
101.6
101.71
101.81
101.95
102.12
102.11
102.25
102.35
102.42
102.34
102.32
102.39
102.45
102.68
102.77
102.83
102.83
103.21
103.58
102.5
102.68
102.7
102.7
102.73
102.72
102.71
102.91
103.1
103.1
103.39
103.38
103.34
103.33
103.33
103.33
103.48
104.38
105.76
107.37
108.16
111.21
112.77
114.39
114.37
114.52
114.54
114.78
114.83
115.86
117
117.27
117.38
117.83




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=166174&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=166174&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166174&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
1101.15NANA0.669661458333325NA
2101.14NANA0.912786458333335NA
3101.23NANA0.34497395833334NA
4101.11NANA0.122161458333354NA
5101.55NANA-0.209609374999987NA
6101.55NANA-0.478984374999994NA
7101.55101.051119791667101.579166666667-0.5280468749999950.498880208333333
8101.6101.128307291667101.665416666667-0.5371093750000090.471692708333336
9101.71101.373828125101.758333333333-0.3845052083333390.336171874999991
10101.81101.698515625101.859583333333-0.1610677083333460.111484375000003
11101.95101.806015625101.947083333333-0.1410677083333430.143984375000002
12102.12102.402890625102.0120833333330.39080729166666-0.282890624999979
13102.11102.748828125102.0791666666670.669661458333325-0.638828124999989
14102.25103.062369791667102.1495833333330.912786458333335-0.812369791666669
15102.35102.570390625102.2254166666670.34497395833334-0.220390625000022
16102.42102.427994791667102.3058333333330.122161458333354-0.00799479166667538
17102.34102.172890625102.3825-0.2096093749999870.167109374999981
18102.32101.969765625102.44875-0.4789843749999940.350234374999999
19102.39101.996119791667102.524166666667-0.5280468749999950.393880208333343
20102.45102.088307291667102.625416666667-0.5371093750000090.361692708333337
21102.68102.302578125102.687083333333-0.3845052083333390.37742187500001
22102.77102.543098958333102.704166666667-0.1610677083333460.226901041666679
23102.83102.588932291667102.73-0.1410677083333430.241067708333333
24102.83103.151640625102.7608333333330.39080729166666-0.321640625000001
25103.21103.460494791667102.7908333333330.669661458333325-0.250494791666654
26103.58103.729036458333102.816250.912786458333335-0.149036458333313
27102.5103.173723958333102.828750.34497395833334-0.673723958333312
28102.68102.957994791667102.8358333333330.122161458333354-0.277994791666643
29102.7102.643307291667102.852916666667-0.2096093749999870.0566927083333439
30102.7102.396432291667102.875416666667-0.4789843749999940.303567708333347
31102.73102.366119791667102.894166666667-0.5280468749999950.363880208333342
32102.72102.356223958333102.893333333333-0.5371093750000090.363776041666668
33102.71102.535494791667102.92-0.3845052083333390.174505208333329
34102.91102.821015625102.982083333333-0.1610677083333460.0889843749999955
35103.1102.894348958333103.035416666667-0.1410677083333430.205651041666655
36103.1103.478723958333103.0879166666670.39080729166666-0.378723958333339
37103.39103.815078125103.1454166666670.669661458333325-0.425078124999999
38103.38104.158619791667103.2458333333330.912786458333335-0.778619791666671
39103.34103.787057291667103.4420833333330.34497395833334-0.447057291666667
40103.33103.877161458333103.7550.122161458333354-0.547161458333335
41103.33103.942057291667104.151666666667-0.209609374999987-0.612057291666673
42103.33104.221432291667104.700416666667-0.478984374999994-0.891432291666661
43103.48104.901119791667105.429166666667-0.528046874999995-1.42111979166665
44104.38105.741640625106.27875-0.537109375000009-1.36164062499998
45105.76106.812578125107.197083333333-0.384505208333339-1.052578125
46107.37107.961848958333108.122916666667-0.161067708333346-0.59184895833333
47108.16108.915182291667109.05625-0.141067708333343-0.755182291666671
48111.21110.391223958333110.0004166666670.390807291666660.818776041666652
49112.77111.620078125110.9504166666670.6696614583333251.14992187499999
50114.39112.814453125111.9016666666670.9127864583333351.57554687500001
51114.37113.193307291667112.8483333333330.344973958333341.17669270833333
52114.52113.851328125113.7291666666670.1221614583333540.668671875000001
53114.54114.316223958333114.525833333333-0.2096093749999870.223776041666682
54114.78114.706848958333115.185833333333-0.4789843749999940.0731510416666623
55114.83NANA-0.528046874999995NA
56115.86NANA-0.537109375000009NA
57117NANA-0.384505208333339NA
58117.27NANA-0.161067708333346NA
59117.38NANA-0.141067708333343NA
60117.83NANA0.39080729166666NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.15 & NA & NA & 0.669661458333325 & NA \tabularnewline
2 & 101.14 & NA & NA & 0.912786458333335 & NA \tabularnewline
3 & 101.23 & NA & NA & 0.34497395833334 & NA \tabularnewline
4 & 101.11 & NA & NA & 0.122161458333354 & NA \tabularnewline
5 & 101.55 & NA & NA & -0.209609374999987 & NA \tabularnewline
6 & 101.55 & NA & NA & -0.478984374999994 & NA \tabularnewline
7 & 101.55 & 101.051119791667 & 101.579166666667 & -0.528046874999995 & 0.498880208333333 \tabularnewline
8 & 101.6 & 101.128307291667 & 101.665416666667 & -0.537109375000009 & 0.471692708333336 \tabularnewline
9 & 101.71 & 101.373828125 & 101.758333333333 & -0.384505208333339 & 0.336171874999991 \tabularnewline
10 & 101.81 & 101.698515625 & 101.859583333333 & -0.161067708333346 & 0.111484375000003 \tabularnewline
11 & 101.95 & 101.806015625 & 101.947083333333 & -0.141067708333343 & 0.143984375000002 \tabularnewline
12 & 102.12 & 102.402890625 & 102.012083333333 & 0.39080729166666 & -0.282890624999979 \tabularnewline
13 & 102.11 & 102.748828125 & 102.079166666667 & 0.669661458333325 & -0.638828124999989 \tabularnewline
14 & 102.25 & 103.062369791667 & 102.149583333333 & 0.912786458333335 & -0.812369791666669 \tabularnewline
15 & 102.35 & 102.570390625 & 102.225416666667 & 0.34497395833334 & -0.220390625000022 \tabularnewline
16 & 102.42 & 102.427994791667 & 102.305833333333 & 0.122161458333354 & -0.00799479166667538 \tabularnewline
17 & 102.34 & 102.172890625 & 102.3825 & -0.209609374999987 & 0.167109374999981 \tabularnewline
18 & 102.32 & 101.969765625 & 102.44875 & -0.478984374999994 & 0.350234374999999 \tabularnewline
19 & 102.39 & 101.996119791667 & 102.524166666667 & -0.528046874999995 & 0.393880208333343 \tabularnewline
20 & 102.45 & 102.088307291667 & 102.625416666667 & -0.537109375000009 & 0.361692708333337 \tabularnewline
21 & 102.68 & 102.302578125 & 102.687083333333 & -0.384505208333339 & 0.37742187500001 \tabularnewline
22 & 102.77 & 102.543098958333 & 102.704166666667 & -0.161067708333346 & 0.226901041666679 \tabularnewline
23 & 102.83 & 102.588932291667 & 102.73 & -0.141067708333343 & 0.241067708333333 \tabularnewline
24 & 102.83 & 103.151640625 & 102.760833333333 & 0.39080729166666 & -0.321640625000001 \tabularnewline
25 & 103.21 & 103.460494791667 & 102.790833333333 & 0.669661458333325 & -0.250494791666654 \tabularnewline
26 & 103.58 & 103.729036458333 & 102.81625 & 0.912786458333335 & -0.149036458333313 \tabularnewline
27 & 102.5 & 103.173723958333 & 102.82875 & 0.34497395833334 & -0.673723958333312 \tabularnewline
28 & 102.68 & 102.957994791667 & 102.835833333333 & 0.122161458333354 & -0.277994791666643 \tabularnewline
29 & 102.7 & 102.643307291667 & 102.852916666667 & -0.209609374999987 & 0.0566927083333439 \tabularnewline
30 & 102.7 & 102.396432291667 & 102.875416666667 & -0.478984374999994 & 0.303567708333347 \tabularnewline
31 & 102.73 & 102.366119791667 & 102.894166666667 & -0.528046874999995 & 0.363880208333342 \tabularnewline
32 & 102.72 & 102.356223958333 & 102.893333333333 & -0.537109375000009 & 0.363776041666668 \tabularnewline
33 & 102.71 & 102.535494791667 & 102.92 & -0.384505208333339 & 0.174505208333329 \tabularnewline
34 & 102.91 & 102.821015625 & 102.982083333333 & -0.161067708333346 & 0.0889843749999955 \tabularnewline
35 & 103.1 & 102.894348958333 & 103.035416666667 & -0.141067708333343 & 0.205651041666655 \tabularnewline
36 & 103.1 & 103.478723958333 & 103.087916666667 & 0.39080729166666 & -0.378723958333339 \tabularnewline
37 & 103.39 & 103.815078125 & 103.145416666667 & 0.669661458333325 & -0.425078124999999 \tabularnewline
38 & 103.38 & 104.158619791667 & 103.245833333333 & 0.912786458333335 & -0.778619791666671 \tabularnewline
39 & 103.34 & 103.787057291667 & 103.442083333333 & 0.34497395833334 & -0.447057291666667 \tabularnewline
40 & 103.33 & 103.877161458333 & 103.755 & 0.122161458333354 & -0.547161458333335 \tabularnewline
41 & 103.33 & 103.942057291667 & 104.151666666667 & -0.209609374999987 & -0.612057291666673 \tabularnewline
42 & 103.33 & 104.221432291667 & 104.700416666667 & -0.478984374999994 & -0.891432291666661 \tabularnewline
43 & 103.48 & 104.901119791667 & 105.429166666667 & -0.528046874999995 & -1.42111979166665 \tabularnewline
44 & 104.38 & 105.741640625 & 106.27875 & -0.537109375000009 & -1.36164062499998 \tabularnewline
45 & 105.76 & 106.812578125 & 107.197083333333 & -0.384505208333339 & -1.052578125 \tabularnewline
46 & 107.37 & 107.961848958333 & 108.122916666667 & -0.161067708333346 & -0.59184895833333 \tabularnewline
47 & 108.16 & 108.915182291667 & 109.05625 & -0.141067708333343 & -0.755182291666671 \tabularnewline
48 & 111.21 & 110.391223958333 & 110.000416666667 & 0.39080729166666 & 0.818776041666652 \tabularnewline
49 & 112.77 & 111.620078125 & 110.950416666667 & 0.669661458333325 & 1.14992187499999 \tabularnewline
50 & 114.39 & 112.814453125 & 111.901666666667 & 0.912786458333335 & 1.57554687500001 \tabularnewline
51 & 114.37 & 113.193307291667 & 112.848333333333 & 0.34497395833334 & 1.17669270833333 \tabularnewline
52 & 114.52 & 113.851328125 & 113.729166666667 & 0.122161458333354 & 0.668671875000001 \tabularnewline
53 & 114.54 & 114.316223958333 & 114.525833333333 & -0.209609374999987 & 0.223776041666682 \tabularnewline
54 & 114.78 & 114.706848958333 & 115.185833333333 & -0.478984374999994 & 0.0731510416666623 \tabularnewline
55 & 114.83 & NA & NA & -0.528046874999995 & NA \tabularnewline
56 & 115.86 & NA & NA & -0.537109375000009 & NA \tabularnewline
57 & 117 & NA & NA & -0.384505208333339 & NA \tabularnewline
58 & 117.27 & NA & NA & -0.161067708333346 & NA \tabularnewline
59 & 117.38 & NA & NA & -0.141067708333343 & NA \tabularnewline
60 & 117.83 & NA & NA & 0.39080729166666 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166174&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]101.15[/C][C]NA[/C][C]NA[/C][C]0.669661458333325[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.14[/C][C]NA[/C][C]NA[/C][C]0.912786458333335[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]101.23[/C][C]NA[/C][C]NA[/C][C]0.34497395833334[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]101.11[/C][C]NA[/C][C]NA[/C][C]0.122161458333354[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.55[/C][C]NA[/C][C]NA[/C][C]-0.209609374999987[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.55[/C][C]NA[/C][C]NA[/C][C]-0.478984374999994[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]101.55[/C][C]101.051119791667[/C][C]101.579166666667[/C][C]-0.528046874999995[/C][C]0.498880208333333[/C][/ROW]
[ROW][C]8[/C][C]101.6[/C][C]101.128307291667[/C][C]101.665416666667[/C][C]-0.537109375000009[/C][C]0.471692708333336[/C][/ROW]
[ROW][C]9[/C][C]101.71[/C][C]101.373828125[/C][C]101.758333333333[/C][C]-0.384505208333339[/C][C]0.336171874999991[/C][/ROW]
[ROW][C]10[/C][C]101.81[/C][C]101.698515625[/C][C]101.859583333333[/C][C]-0.161067708333346[/C][C]0.111484375000003[/C][/ROW]
[ROW][C]11[/C][C]101.95[/C][C]101.806015625[/C][C]101.947083333333[/C][C]-0.141067708333343[/C][C]0.143984375000002[/C][/ROW]
[ROW][C]12[/C][C]102.12[/C][C]102.402890625[/C][C]102.012083333333[/C][C]0.39080729166666[/C][C]-0.282890624999979[/C][/ROW]
[ROW][C]13[/C][C]102.11[/C][C]102.748828125[/C][C]102.079166666667[/C][C]0.669661458333325[/C][C]-0.638828124999989[/C][/ROW]
[ROW][C]14[/C][C]102.25[/C][C]103.062369791667[/C][C]102.149583333333[/C][C]0.912786458333335[/C][C]-0.812369791666669[/C][/ROW]
[ROW][C]15[/C][C]102.35[/C][C]102.570390625[/C][C]102.225416666667[/C][C]0.34497395833334[/C][C]-0.220390625000022[/C][/ROW]
[ROW][C]16[/C][C]102.42[/C][C]102.427994791667[/C][C]102.305833333333[/C][C]0.122161458333354[/C][C]-0.00799479166667538[/C][/ROW]
[ROW][C]17[/C][C]102.34[/C][C]102.172890625[/C][C]102.3825[/C][C]-0.209609374999987[/C][C]0.167109374999981[/C][/ROW]
[ROW][C]18[/C][C]102.32[/C][C]101.969765625[/C][C]102.44875[/C][C]-0.478984374999994[/C][C]0.350234374999999[/C][/ROW]
[ROW][C]19[/C][C]102.39[/C][C]101.996119791667[/C][C]102.524166666667[/C][C]-0.528046874999995[/C][C]0.393880208333343[/C][/ROW]
[ROW][C]20[/C][C]102.45[/C][C]102.088307291667[/C][C]102.625416666667[/C][C]-0.537109375000009[/C][C]0.361692708333337[/C][/ROW]
[ROW][C]21[/C][C]102.68[/C][C]102.302578125[/C][C]102.687083333333[/C][C]-0.384505208333339[/C][C]0.37742187500001[/C][/ROW]
[ROW][C]22[/C][C]102.77[/C][C]102.543098958333[/C][C]102.704166666667[/C][C]-0.161067708333346[/C][C]0.226901041666679[/C][/ROW]
[ROW][C]23[/C][C]102.83[/C][C]102.588932291667[/C][C]102.73[/C][C]-0.141067708333343[/C][C]0.241067708333333[/C][/ROW]
[ROW][C]24[/C][C]102.83[/C][C]103.151640625[/C][C]102.760833333333[/C][C]0.39080729166666[/C][C]-0.321640625000001[/C][/ROW]
[ROW][C]25[/C][C]103.21[/C][C]103.460494791667[/C][C]102.790833333333[/C][C]0.669661458333325[/C][C]-0.250494791666654[/C][/ROW]
[ROW][C]26[/C][C]103.58[/C][C]103.729036458333[/C][C]102.81625[/C][C]0.912786458333335[/C][C]-0.149036458333313[/C][/ROW]
[ROW][C]27[/C][C]102.5[/C][C]103.173723958333[/C][C]102.82875[/C][C]0.34497395833334[/C][C]-0.673723958333312[/C][/ROW]
[ROW][C]28[/C][C]102.68[/C][C]102.957994791667[/C][C]102.835833333333[/C][C]0.122161458333354[/C][C]-0.277994791666643[/C][/ROW]
[ROW][C]29[/C][C]102.7[/C][C]102.643307291667[/C][C]102.852916666667[/C][C]-0.209609374999987[/C][C]0.0566927083333439[/C][/ROW]
[ROW][C]30[/C][C]102.7[/C][C]102.396432291667[/C][C]102.875416666667[/C][C]-0.478984374999994[/C][C]0.303567708333347[/C][/ROW]
[ROW][C]31[/C][C]102.73[/C][C]102.366119791667[/C][C]102.894166666667[/C][C]-0.528046874999995[/C][C]0.363880208333342[/C][/ROW]
[ROW][C]32[/C][C]102.72[/C][C]102.356223958333[/C][C]102.893333333333[/C][C]-0.537109375000009[/C][C]0.363776041666668[/C][/ROW]
[ROW][C]33[/C][C]102.71[/C][C]102.535494791667[/C][C]102.92[/C][C]-0.384505208333339[/C][C]0.174505208333329[/C][/ROW]
[ROW][C]34[/C][C]102.91[/C][C]102.821015625[/C][C]102.982083333333[/C][C]-0.161067708333346[/C][C]0.0889843749999955[/C][/ROW]
[ROW][C]35[/C][C]103.1[/C][C]102.894348958333[/C][C]103.035416666667[/C][C]-0.141067708333343[/C][C]0.205651041666655[/C][/ROW]
[ROW][C]36[/C][C]103.1[/C][C]103.478723958333[/C][C]103.087916666667[/C][C]0.39080729166666[/C][C]-0.378723958333339[/C][/ROW]
[ROW][C]37[/C][C]103.39[/C][C]103.815078125[/C][C]103.145416666667[/C][C]0.669661458333325[/C][C]-0.425078124999999[/C][/ROW]
[ROW][C]38[/C][C]103.38[/C][C]104.158619791667[/C][C]103.245833333333[/C][C]0.912786458333335[/C][C]-0.778619791666671[/C][/ROW]
[ROW][C]39[/C][C]103.34[/C][C]103.787057291667[/C][C]103.442083333333[/C][C]0.34497395833334[/C][C]-0.447057291666667[/C][/ROW]
[ROW][C]40[/C][C]103.33[/C][C]103.877161458333[/C][C]103.755[/C][C]0.122161458333354[/C][C]-0.547161458333335[/C][/ROW]
[ROW][C]41[/C][C]103.33[/C][C]103.942057291667[/C][C]104.151666666667[/C][C]-0.209609374999987[/C][C]-0.612057291666673[/C][/ROW]
[ROW][C]42[/C][C]103.33[/C][C]104.221432291667[/C][C]104.700416666667[/C][C]-0.478984374999994[/C][C]-0.891432291666661[/C][/ROW]
[ROW][C]43[/C][C]103.48[/C][C]104.901119791667[/C][C]105.429166666667[/C][C]-0.528046874999995[/C][C]-1.42111979166665[/C][/ROW]
[ROW][C]44[/C][C]104.38[/C][C]105.741640625[/C][C]106.27875[/C][C]-0.537109375000009[/C][C]-1.36164062499998[/C][/ROW]
[ROW][C]45[/C][C]105.76[/C][C]106.812578125[/C][C]107.197083333333[/C][C]-0.384505208333339[/C][C]-1.052578125[/C][/ROW]
[ROW][C]46[/C][C]107.37[/C][C]107.961848958333[/C][C]108.122916666667[/C][C]-0.161067708333346[/C][C]-0.59184895833333[/C][/ROW]
[ROW][C]47[/C][C]108.16[/C][C]108.915182291667[/C][C]109.05625[/C][C]-0.141067708333343[/C][C]-0.755182291666671[/C][/ROW]
[ROW][C]48[/C][C]111.21[/C][C]110.391223958333[/C][C]110.000416666667[/C][C]0.39080729166666[/C][C]0.818776041666652[/C][/ROW]
[ROW][C]49[/C][C]112.77[/C][C]111.620078125[/C][C]110.950416666667[/C][C]0.669661458333325[/C][C]1.14992187499999[/C][/ROW]
[ROW][C]50[/C][C]114.39[/C][C]112.814453125[/C][C]111.901666666667[/C][C]0.912786458333335[/C][C]1.57554687500001[/C][/ROW]
[ROW][C]51[/C][C]114.37[/C][C]113.193307291667[/C][C]112.848333333333[/C][C]0.34497395833334[/C][C]1.17669270833333[/C][/ROW]
[ROW][C]52[/C][C]114.52[/C][C]113.851328125[/C][C]113.729166666667[/C][C]0.122161458333354[/C][C]0.668671875000001[/C][/ROW]
[ROW][C]53[/C][C]114.54[/C][C]114.316223958333[/C][C]114.525833333333[/C][C]-0.209609374999987[/C][C]0.223776041666682[/C][/ROW]
[ROW][C]54[/C][C]114.78[/C][C]114.706848958333[/C][C]115.185833333333[/C][C]-0.478984374999994[/C][C]0.0731510416666623[/C][/ROW]
[ROW][C]55[/C][C]114.83[/C][C]NA[/C][C]NA[/C][C]-0.528046874999995[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]115.86[/C][C]NA[/C][C]NA[/C][C]-0.537109375000009[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]117[/C][C]NA[/C][C]NA[/C][C]-0.384505208333339[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]117.27[/C][C]NA[/C][C]NA[/C][C]-0.161067708333346[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]117.38[/C][C]NA[/C][C]NA[/C][C]-0.141067708333343[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]117.83[/C][C]NA[/C][C]NA[/C][C]0.39080729166666[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166174&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166174&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
1101.15NANA0.669661458333325NA
2101.14NANA0.912786458333335NA
3101.23NANA0.34497395833334NA
4101.11NANA0.122161458333354NA
5101.55NANA-0.209609374999987NA
6101.55NANA-0.478984374999994NA
7101.55101.051119791667101.579166666667-0.5280468749999950.498880208333333
8101.6101.128307291667101.665416666667-0.5371093750000090.471692708333336
9101.71101.373828125101.758333333333-0.3845052083333390.336171874999991
10101.81101.698515625101.859583333333-0.1610677083333460.111484375000003
11101.95101.806015625101.947083333333-0.1410677083333430.143984375000002
12102.12102.402890625102.0120833333330.39080729166666-0.282890624999979
13102.11102.748828125102.0791666666670.669661458333325-0.638828124999989
14102.25103.062369791667102.1495833333330.912786458333335-0.812369791666669
15102.35102.570390625102.2254166666670.34497395833334-0.220390625000022
16102.42102.427994791667102.3058333333330.122161458333354-0.00799479166667538
17102.34102.172890625102.3825-0.2096093749999870.167109374999981
18102.32101.969765625102.44875-0.4789843749999940.350234374999999
19102.39101.996119791667102.524166666667-0.5280468749999950.393880208333343
20102.45102.088307291667102.625416666667-0.5371093750000090.361692708333337
21102.68102.302578125102.687083333333-0.3845052083333390.37742187500001
22102.77102.543098958333102.704166666667-0.1610677083333460.226901041666679
23102.83102.588932291667102.73-0.1410677083333430.241067708333333
24102.83103.151640625102.7608333333330.39080729166666-0.321640625000001
25103.21103.460494791667102.7908333333330.669661458333325-0.250494791666654
26103.58103.729036458333102.816250.912786458333335-0.149036458333313
27102.5103.173723958333102.828750.34497395833334-0.673723958333312
28102.68102.957994791667102.8358333333330.122161458333354-0.277994791666643
29102.7102.643307291667102.852916666667-0.2096093749999870.0566927083333439
30102.7102.396432291667102.875416666667-0.4789843749999940.303567708333347
31102.73102.366119791667102.894166666667-0.5280468749999950.363880208333342
32102.72102.356223958333102.893333333333-0.5371093750000090.363776041666668
33102.71102.535494791667102.92-0.3845052083333390.174505208333329
34102.91102.821015625102.982083333333-0.1610677083333460.0889843749999955
35103.1102.894348958333103.035416666667-0.1410677083333430.205651041666655
36103.1103.478723958333103.0879166666670.39080729166666-0.378723958333339
37103.39103.815078125103.1454166666670.669661458333325-0.425078124999999
38103.38104.158619791667103.2458333333330.912786458333335-0.778619791666671
39103.34103.787057291667103.4420833333330.34497395833334-0.447057291666667
40103.33103.877161458333103.7550.122161458333354-0.547161458333335
41103.33103.942057291667104.151666666667-0.209609374999987-0.612057291666673
42103.33104.221432291667104.700416666667-0.478984374999994-0.891432291666661
43103.48104.901119791667105.429166666667-0.528046874999995-1.42111979166665
44104.38105.741640625106.27875-0.537109375000009-1.36164062499998
45105.76106.812578125107.197083333333-0.384505208333339-1.052578125
46107.37107.961848958333108.122916666667-0.161067708333346-0.59184895833333
47108.16108.915182291667109.05625-0.141067708333343-0.755182291666671
48111.21110.391223958333110.0004166666670.390807291666660.818776041666652
49112.77111.620078125110.9504166666670.6696614583333251.14992187499999
50114.39112.814453125111.9016666666670.9127864583333351.57554687500001
51114.37113.193307291667112.8483333333330.344973958333341.17669270833333
52114.52113.851328125113.7291666666670.1221614583333540.668671875000001
53114.54114.316223958333114.525833333333-0.2096093749999870.223776041666682
54114.78114.706848958333115.185833333333-0.4789843749999940.0731510416666623
55114.83NANA-0.528046874999995NA
56115.86NANA-0.537109375000009NA
57117NANA-0.384505208333339NA
58117.27NANA-0.161067708333346NA
59117.38NANA-0.141067708333343NA
60117.83NANA0.39080729166666NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')