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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 15 Jan 2013 18:20:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/15/t1358292036x90ol295031uhfn.htm/, Retrieved Sat, 27 Apr 2024 23:23:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205565, Retrieved Sat, 27 Apr 2024 23:23:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [gemiddelde prijze...] [2012-12-03 11:11:01] [74be16979710d4c4e7c6647856088456]
- R PD    [Classical Decomposition] [] [2013-01-15 23:20:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
86.86
86.79
82.52
86.87
81.62
82.66
89.87
92.04
79.74
77.75
79.12
76.37
75.01
77.6
77.81
81.7
76.47
74.72
84.43
86.72
70.99
75.43
74.14
73.3
71.97
69.27
74.13
76.4
72.26
72.1
87.82
91.62
82.69
85.76
86.87
93.09
83.73
84.49
87.37
89.13
83.2
83.77
93.68
93.09
88.59
87.88
87.89
89.38
89.13
89.58
90.22
91.44
91.04
92.1
97.54
99.12
100
99.68
100.08
99.9
99.63
99.45
99.63
99.46
96.91
97.65
102.1
103.57
104.59
104.79
101.31
104.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205565&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205565&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205565&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
186.86NANA0.971306092151964NA
286.79NANA0.970944063466711NA
382.52NANA0.989389397054856NA
486.87NANA1.00679317465585NA
581.62NANA0.958751254685406NA
682.66NANA0.95433970850223NA
789.8788.939100475558983.023751.071248895352941.01046670721273
892.0489.668885063135882.14708333333331.091565049233471.02644300679321
979.7480.556949424769681.56791666666660.9876058224457490.989858734341318
1077.7580.896043431781681.156250.9967937581120570.961110045704094
1179.1280.547331776933380.726250.9977836425813580.98227958958484
1276.3780.459793818727580.18083333333331.003479141757410.949169720370629
1375.0177.338628744113279.62333333333330.9713060921519640.969890483165691
1477.676.874496224976879.1750.9709440634667111.00943750932559
1577.8177.754875977794878.588750.9893893970548561.00070894617877
1681.778.658233752924578.12751.006793174655851.03867066551011
1776.4774.613218477133977.82333333333330.9587512546854061.02488542326364
1874.7273.949795804111777.48791666666670.954339708502231.01041523086728
1984.4382.73612301775977.23333333333331.071248895352941.02047324578984
2086.7283.788078360390576.75958333333331.091565049233471.03499210982019
2170.9975.313997014860876.25916666666670.9876058224457490.942587072971209
2275.4375.641694334333575.8850.9967937581120570.997201353880338
2374.1475.321439948913575.488750.9977836425813580.984314692473819
2473.375.465812623248175.20416666666671.003479141757410.971300744695341
2571.9773.077427975668275.236250.9713060921519640.984845827140537
2669.2773.385570556919875.58166666666670.9709440634667110.943918531590244
2774.1375.464027278030776.27333333333330.9893893970548560.982322341834265
2876.477.71562364315377.191251.006793174655850.983071310741918
2972.2674.928407952111878.15208333333330.9587512546854060.96438723275934
3072.175.876766732195879.50708333333330.954339708502230.950224991194923
3187.8286.580121137250480.82166666666671.071248895352941.0143205951489
3291.6289.449207596977581.94583333333331.091565049233471.02426843637121
3382.6982.101318029619283.13166666666670.9876058224457491.00717018903604
3485.7683.943740347209284.213750.9967937581120571.0216366300248
3586.8785.011166347931785.20.9977836425813581.02186575872234
3693.0986.441783852528986.14208333333331.003479141757411.076909751872
3783.7384.379788490471586.87250.9713060921519640.992299240113112
3884.4984.644880652895687.17791666666660.9709440634667110.99817023012259
3987.3786.556731401344187.4850.9893893970548561.00939578684973
4089.1388.415737603964187.81916666666671.006793174655851.00807845317352
4183.284.322172849581587.950.9587512546854060.98669184140234
4283.7783.827211787109887.83791666666670.954339708502230.999317503399074
4393.6894.171704975651687.90833333333331.071248895352940.994778633605723
4493.0996.434769093301288.34541666666671.091565049233470.965315734928912
4588.5987.577180812654888.676250.9876058224457491.01156487543841
4687.8888.606243150778488.891250.9967937581120570.991803702256707
4787.8989.116214550785289.31416666666670.9977836425813580.986240275611276
4889.3890.300997385204389.98791666666661.003479141757410.989800806061139
4989.1387.899154231035590.49583333333330.9713060921519641.01400293074185
5089.5888.266502009626490.90791666666670.9709440634667111.01488104728825
5190.2290.662285153539691.63458333333330.9893893970548560.995121619173942
5291.4493.230725961755792.60166666666671.006793174655850.980792534400191
5391.0489.740315877622493.601250.9587512546854061.01448272283942
5492.190.230433589614694.54750.954339708502231.02071990941425
5597.54102.22214042422995.42333333333331.071248895352940.954196415719747
5699.12105.08724138355996.27208333333331.091565049233470.943216309563417
5710095.872246716347197.07541666666670.9876058224457491.04305472568996
5899.6897.488090866289497.80166666666670.9967937581120571.022483865611
59100.0898.162370500338498.38041666666670.9977836425813581.01953528108467
6099.999.200184907356398.856251.003479141757411.00705457447783
6199.6396.428840563616699.27750.9713060921519641.03319711631575
6299.4596.757407844642899.65291666666670.9709440634667111.02782827915027
6399.6398.9682091418152100.0295833333330.9893893970548561.00668690344024
6499.46101.116014005091100.433751.006793174655850.983622633651203
6596.9196.5442539483732100.6979166666670.9587512546854061.0037883772122
6697.6596.3437747056618100.9533333333330.954339708502231.01355796260141
67102.1NANA1.07124889535294NA
68103.57NANA1.09156504923347NA
69104.59NANA0.987605822445749NA
70104.79NANA0.996793758112057NA
71101.31NANA0.997783642581358NA
72104.8NANA1.00347914175741NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 86.86 & NA & NA & 0.971306092151964 & NA \tabularnewline
2 & 86.79 & NA & NA & 0.970944063466711 & NA \tabularnewline
3 & 82.52 & NA & NA & 0.989389397054856 & NA \tabularnewline
4 & 86.87 & NA & NA & 1.00679317465585 & NA \tabularnewline
5 & 81.62 & NA & NA & 0.958751254685406 & NA \tabularnewline
6 & 82.66 & NA & NA & 0.95433970850223 & NA \tabularnewline
7 & 89.87 & 88.9391004755589 & 83.02375 & 1.07124889535294 & 1.01046670721273 \tabularnewline
8 & 92.04 & 89.6688850631358 & 82.1470833333333 & 1.09156504923347 & 1.02644300679321 \tabularnewline
9 & 79.74 & 80.5569494247696 & 81.5679166666666 & 0.987605822445749 & 0.989858734341318 \tabularnewline
10 & 77.75 & 80.8960434317816 & 81.15625 & 0.996793758112057 & 0.961110045704094 \tabularnewline
11 & 79.12 & 80.5473317769333 & 80.72625 & 0.997783642581358 & 0.98227958958484 \tabularnewline
12 & 76.37 & 80.4597938187275 & 80.1808333333333 & 1.00347914175741 & 0.949169720370629 \tabularnewline
13 & 75.01 & 77.3386287441132 & 79.6233333333333 & 0.971306092151964 & 0.969890483165691 \tabularnewline
14 & 77.6 & 76.8744962249768 & 79.175 & 0.970944063466711 & 1.00943750932559 \tabularnewline
15 & 77.81 & 77.7548759777948 & 78.58875 & 0.989389397054856 & 1.00070894617877 \tabularnewline
16 & 81.7 & 78.6582337529245 & 78.1275 & 1.00679317465585 & 1.03867066551011 \tabularnewline
17 & 76.47 & 74.6132184771339 & 77.8233333333333 & 0.958751254685406 & 1.02488542326364 \tabularnewline
18 & 74.72 & 73.9497958041117 & 77.4879166666667 & 0.95433970850223 & 1.01041523086728 \tabularnewline
19 & 84.43 & 82.736123017759 & 77.2333333333333 & 1.07124889535294 & 1.02047324578984 \tabularnewline
20 & 86.72 & 83.7880783603905 & 76.7595833333333 & 1.09156504923347 & 1.03499210982019 \tabularnewline
21 & 70.99 & 75.3139970148608 & 76.2591666666667 & 0.987605822445749 & 0.942587072971209 \tabularnewline
22 & 75.43 & 75.6416943343335 & 75.885 & 0.996793758112057 & 0.997201353880338 \tabularnewline
23 & 74.14 & 75.3214399489135 & 75.48875 & 0.997783642581358 & 0.984314692473819 \tabularnewline
24 & 73.3 & 75.4658126232481 & 75.2041666666667 & 1.00347914175741 & 0.971300744695341 \tabularnewline
25 & 71.97 & 73.0774279756682 & 75.23625 & 0.971306092151964 & 0.984845827140537 \tabularnewline
26 & 69.27 & 73.3855705569198 & 75.5816666666667 & 0.970944063466711 & 0.943918531590244 \tabularnewline
27 & 74.13 & 75.4640272780307 & 76.2733333333333 & 0.989389397054856 & 0.982322341834265 \tabularnewline
28 & 76.4 & 77.715623643153 & 77.19125 & 1.00679317465585 & 0.983071310741918 \tabularnewline
29 & 72.26 & 74.9284079521118 & 78.1520833333333 & 0.958751254685406 & 0.96438723275934 \tabularnewline
30 & 72.1 & 75.8767667321958 & 79.5070833333333 & 0.95433970850223 & 0.950224991194923 \tabularnewline
31 & 87.82 & 86.5801211372504 & 80.8216666666667 & 1.07124889535294 & 1.0143205951489 \tabularnewline
32 & 91.62 & 89.4492075969775 & 81.9458333333333 & 1.09156504923347 & 1.02426843637121 \tabularnewline
33 & 82.69 & 82.1013180296192 & 83.1316666666667 & 0.987605822445749 & 1.00717018903604 \tabularnewline
34 & 85.76 & 83.9437403472092 & 84.21375 & 0.996793758112057 & 1.0216366300248 \tabularnewline
35 & 86.87 & 85.0111663479317 & 85.2 & 0.997783642581358 & 1.02186575872234 \tabularnewline
36 & 93.09 & 86.4417838525289 & 86.1420833333333 & 1.00347914175741 & 1.076909751872 \tabularnewline
37 & 83.73 & 84.3797884904715 & 86.8725 & 0.971306092151964 & 0.992299240113112 \tabularnewline
38 & 84.49 & 84.6448806528956 & 87.1779166666666 & 0.970944063466711 & 0.99817023012259 \tabularnewline
39 & 87.37 & 86.5567314013441 & 87.485 & 0.989389397054856 & 1.00939578684973 \tabularnewline
40 & 89.13 & 88.4157376039641 & 87.8191666666667 & 1.00679317465585 & 1.00807845317352 \tabularnewline
41 & 83.2 & 84.3221728495815 & 87.95 & 0.958751254685406 & 0.98669184140234 \tabularnewline
42 & 83.77 & 83.8272117871098 & 87.8379166666667 & 0.95433970850223 & 0.999317503399074 \tabularnewline
43 & 93.68 & 94.1717049756516 & 87.9083333333333 & 1.07124889535294 & 0.994778633605723 \tabularnewline
44 & 93.09 & 96.4347690933012 & 88.3454166666667 & 1.09156504923347 & 0.965315734928912 \tabularnewline
45 & 88.59 & 87.5771808126548 & 88.67625 & 0.987605822445749 & 1.01156487543841 \tabularnewline
46 & 87.88 & 88.6062431507784 & 88.89125 & 0.996793758112057 & 0.991803702256707 \tabularnewline
47 & 87.89 & 89.1162145507852 & 89.3141666666667 & 0.997783642581358 & 0.986240275611276 \tabularnewline
48 & 89.38 & 90.3009973852043 & 89.9879166666666 & 1.00347914175741 & 0.989800806061139 \tabularnewline
49 & 89.13 & 87.8991542310355 & 90.4958333333333 & 0.971306092151964 & 1.01400293074185 \tabularnewline
50 & 89.58 & 88.2665020096264 & 90.9079166666667 & 0.970944063466711 & 1.01488104728825 \tabularnewline
51 & 90.22 & 90.6622851535396 & 91.6345833333333 & 0.989389397054856 & 0.995121619173942 \tabularnewline
52 & 91.44 & 93.2307259617557 & 92.6016666666667 & 1.00679317465585 & 0.980792534400191 \tabularnewline
53 & 91.04 & 89.7403158776224 & 93.60125 & 0.958751254685406 & 1.01448272283942 \tabularnewline
54 & 92.1 & 90.2304335896146 & 94.5475 & 0.95433970850223 & 1.02071990941425 \tabularnewline
55 & 97.54 & 102.222140424229 & 95.4233333333333 & 1.07124889535294 & 0.954196415719747 \tabularnewline
56 & 99.12 & 105.087241383559 & 96.2720833333333 & 1.09156504923347 & 0.943216309563417 \tabularnewline
57 & 100 & 95.8722467163471 & 97.0754166666667 & 0.987605822445749 & 1.04305472568996 \tabularnewline
58 & 99.68 & 97.4880908662894 & 97.8016666666667 & 0.996793758112057 & 1.022483865611 \tabularnewline
59 & 100.08 & 98.1623705003384 & 98.3804166666667 & 0.997783642581358 & 1.01953528108467 \tabularnewline
60 & 99.9 & 99.2001849073563 & 98.85625 & 1.00347914175741 & 1.00705457447783 \tabularnewline
61 & 99.63 & 96.4288405636166 & 99.2775 & 0.971306092151964 & 1.03319711631575 \tabularnewline
62 & 99.45 & 96.7574078446428 & 99.6529166666667 & 0.970944063466711 & 1.02782827915027 \tabularnewline
63 & 99.63 & 98.9682091418152 & 100.029583333333 & 0.989389397054856 & 1.00668690344024 \tabularnewline
64 & 99.46 & 101.116014005091 & 100.43375 & 1.00679317465585 & 0.983622633651203 \tabularnewline
65 & 96.91 & 96.5442539483732 & 100.697916666667 & 0.958751254685406 & 1.0037883772122 \tabularnewline
66 & 97.65 & 96.3437747056618 & 100.953333333333 & 0.95433970850223 & 1.01355796260141 \tabularnewline
67 & 102.1 & NA & NA & 1.07124889535294 & NA \tabularnewline
68 & 103.57 & NA & NA & 1.09156504923347 & NA \tabularnewline
69 & 104.59 & NA & NA & 0.987605822445749 & NA \tabularnewline
70 & 104.79 & NA & NA & 0.996793758112057 & NA \tabularnewline
71 & 101.31 & NA & NA & 0.997783642581358 & NA \tabularnewline
72 & 104.8 & NA & NA & 1.00347914175741 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205565&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]86.86[/C][C]NA[/C][C]NA[/C][C]0.971306092151964[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]86.79[/C][C]NA[/C][C]NA[/C][C]0.970944063466711[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]82.52[/C][C]NA[/C][C]NA[/C][C]0.989389397054856[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]86.87[/C][C]NA[/C][C]NA[/C][C]1.00679317465585[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]81.62[/C][C]NA[/C][C]NA[/C][C]0.958751254685406[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]82.66[/C][C]NA[/C][C]NA[/C][C]0.95433970850223[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]89.87[/C][C]88.9391004755589[/C][C]83.02375[/C][C]1.07124889535294[/C][C]1.01046670721273[/C][/ROW]
[ROW][C]8[/C][C]92.04[/C][C]89.6688850631358[/C][C]82.1470833333333[/C][C]1.09156504923347[/C][C]1.02644300679321[/C][/ROW]
[ROW][C]9[/C][C]79.74[/C][C]80.5569494247696[/C][C]81.5679166666666[/C][C]0.987605822445749[/C][C]0.989858734341318[/C][/ROW]
[ROW][C]10[/C][C]77.75[/C][C]80.8960434317816[/C][C]81.15625[/C][C]0.996793758112057[/C][C]0.961110045704094[/C][/ROW]
[ROW][C]11[/C][C]79.12[/C][C]80.5473317769333[/C][C]80.72625[/C][C]0.997783642581358[/C][C]0.98227958958484[/C][/ROW]
[ROW][C]12[/C][C]76.37[/C][C]80.4597938187275[/C][C]80.1808333333333[/C][C]1.00347914175741[/C][C]0.949169720370629[/C][/ROW]
[ROW][C]13[/C][C]75.01[/C][C]77.3386287441132[/C][C]79.6233333333333[/C][C]0.971306092151964[/C][C]0.969890483165691[/C][/ROW]
[ROW][C]14[/C][C]77.6[/C][C]76.8744962249768[/C][C]79.175[/C][C]0.970944063466711[/C][C]1.00943750932559[/C][/ROW]
[ROW][C]15[/C][C]77.81[/C][C]77.7548759777948[/C][C]78.58875[/C][C]0.989389397054856[/C][C]1.00070894617877[/C][/ROW]
[ROW][C]16[/C][C]81.7[/C][C]78.6582337529245[/C][C]78.1275[/C][C]1.00679317465585[/C][C]1.03867066551011[/C][/ROW]
[ROW][C]17[/C][C]76.47[/C][C]74.6132184771339[/C][C]77.8233333333333[/C][C]0.958751254685406[/C][C]1.02488542326364[/C][/ROW]
[ROW][C]18[/C][C]74.72[/C][C]73.9497958041117[/C][C]77.4879166666667[/C][C]0.95433970850223[/C][C]1.01041523086728[/C][/ROW]
[ROW][C]19[/C][C]84.43[/C][C]82.736123017759[/C][C]77.2333333333333[/C][C]1.07124889535294[/C][C]1.02047324578984[/C][/ROW]
[ROW][C]20[/C][C]86.72[/C][C]83.7880783603905[/C][C]76.7595833333333[/C][C]1.09156504923347[/C][C]1.03499210982019[/C][/ROW]
[ROW][C]21[/C][C]70.99[/C][C]75.3139970148608[/C][C]76.2591666666667[/C][C]0.987605822445749[/C][C]0.942587072971209[/C][/ROW]
[ROW][C]22[/C][C]75.43[/C][C]75.6416943343335[/C][C]75.885[/C][C]0.996793758112057[/C][C]0.997201353880338[/C][/ROW]
[ROW][C]23[/C][C]74.14[/C][C]75.3214399489135[/C][C]75.48875[/C][C]0.997783642581358[/C][C]0.984314692473819[/C][/ROW]
[ROW][C]24[/C][C]73.3[/C][C]75.4658126232481[/C][C]75.2041666666667[/C][C]1.00347914175741[/C][C]0.971300744695341[/C][/ROW]
[ROW][C]25[/C][C]71.97[/C][C]73.0774279756682[/C][C]75.23625[/C][C]0.971306092151964[/C][C]0.984845827140537[/C][/ROW]
[ROW][C]26[/C][C]69.27[/C][C]73.3855705569198[/C][C]75.5816666666667[/C][C]0.970944063466711[/C][C]0.943918531590244[/C][/ROW]
[ROW][C]27[/C][C]74.13[/C][C]75.4640272780307[/C][C]76.2733333333333[/C][C]0.989389397054856[/C][C]0.982322341834265[/C][/ROW]
[ROW][C]28[/C][C]76.4[/C][C]77.715623643153[/C][C]77.19125[/C][C]1.00679317465585[/C][C]0.983071310741918[/C][/ROW]
[ROW][C]29[/C][C]72.26[/C][C]74.9284079521118[/C][C]78.1520833333333[/C][C]0.958751254685406[/C][C]0.96438723275934[/C][/ROW]
[ROW][C]30[/C][C]72.1[/C][C]75.8767667321958[/C][C]79.5070833333333[/C][C]0.95433970850223[/C][C]0.950224991194923[/C][/ROW]
[ROW][C]31[/C][C]87.82[/C][C]86.5801211372504[/C][C]80.8216666666667[/C][C]1.07124889535294[/C][C]1.0143205951489[/C][/ROW]
[ROW][C]32[/C][C]91.62[/C][C]89.4492075969775[/C][C]81.9458333333333[/C][C]1.09156504923347[/C][C]1.02426843637121[/C][/ROW]
[ROW][C]33[/C][C]82.69[/C][C]82.1013180296192[/C][C]83.1316666666667[/C][C]0.987605822445749[/C][C]1.00717018903604[/C][/ROW]
[ROW][C]34[/C][C]85.76[/C][C]83.9437403472092[/C][C]84.21375[/C][C]0.996793758112057[/C][C]1.0216366300248[/C][/ROW]
[ROW][C]35[/C][C]86.87[/C][C]85.0111663479317[/C][C]85.2[/C][C]0.997783642581358[/C][C]1.02186575872234[/C][/ROW]
[ROW][C]36[/C][C]93.09[/C][C]86.4417838525289[/C][C]86.1420833333333[/C][C]1.00347914175741[/C][C]1.076909751872[/C][/ROW]
[ROW][C]37[/C][C]83.73[/C][C]84.3797884904715[/C][C]86.8725[/C][C]0.971306092151964[/C][C]0.992299240113112[/C][/ROW]
[ROW][C]38[/C][C]84.49[/C][C]84.6448806528956[/C][C]87.1779166666666[/C][C]0.970944063466711[/C][C]0.99817023012259[/C][/ROW]
[ROW][C]39[/C][C]87.37[/C][C]86.5567314013441[/C][C]87.485[/C][C]0.989389397054856[/C][C]1.00939578684973[/C][/ROW]
[ROW][C]40[/C][C]89.13[/C][C]88.4157376039641[/C][C]87.8191666666667[/C][C]1.00679317465585[/C][C]1.00807845317352[/C][/ROW]
[ROW][C]41[/C][C]83.2[/C][C]84.3221728495815[/C][C]87.95[/C][C]0.958751254685406[/C][C]0.98669184140234[/C][/ROW]
[ROW][C]42[/C][C]83.77[/C][C]83.8272117871098[/C][C]87.8379166666667[/C][C]0.95433970850223[/C][C]0.999317503399074[/C][/ROW]
[ROW][C]43[/C][C]93.68[/C][C]94.1717049756516[/C][C]87.9083333333333[/C][C]1.07124889535294[/C][C]0.994778633605723[/C][/ROW]
[ROW][C]44[/C][C]93.09[/C][C]96.4347690933012[/C][C]88.3454166666667[/C][C]1.09156504923347[/C][C]0.965315734928912[/C][/ROW]
[ROW][C]45[/C][C]88.59[/C][C]87.5771808126548[/C][C]88.67625[/C][C]0.987605822445749[/C][C]1.01156487543841[/C][/ROW]
[ROW][C]46[/C][C]87.88[/C][C]88.6062431507784[/C][C]88.89125[/C][C]0.996793758112057[/C][C]0.991803702256707[/C][/ROW]
[ROW][C]47[/C][C]87.89[/C][C]89.1162145507852[/C][C]89.3141666666667[/C][C]0.997783642581358[/C][C]0.986240275611276[/C][/ROW]
[ROW][C]48[/C][C]89.38[/C][C]90.3009973852043[/C][C]89.9879166666666[/C][C]1.00347914175741[/C][C]0.989800806061139[/C][/ROW]
[ROW][C]49[/C][C]89.13[/C][C]87.8991542310355[/C][C]90.4958333333333[/C][C]0.971306092151964[/C][C]1.01400293074185[/C][/ROW]
[ROW][C]50[/C][C]89.58[/C][C]88.2665020096264[/C][C]90.9079166666667[/C][C]0.970944063466711[/C][C]1.01488104728825[/C][/ROW]
[ROW][C]51[/C][C]90.22[/C][C]90.6622851535396[/C][C]91.6345833333333[/C][C]0.989389397054856[/C][C]0.995121619173942[/C][/ROW]
[ROW][C]52[/C][C]91.44[/C][C]93.2307259617557[/C][C]92.6016666666667[/C][C]1.00679317465585[/C][C]0.980792534400191[/C][/ROW]
[ROW][C]53[/C][C]91.04[/C][C]89.7403158776224[/C][C]93.60125[/C][C]0.958751254685406[/C][C]1.01448272283942[/C][/ROW]
[ROW][C]54[/C][C]92.1[/C][C]90.2304335896146[/C][C]94.5475[/C][C]0.95433970850223[/C][C]1.02071990941425[/C][/ROW]
[ROW][C]55[/C][C]97.54[/C][C]102.222140424229[/C][C]95.4233333333333[/C][C]1.07124889535294[/C][C]0.954196415719747[/C][/ROW]
[ROW][C]56[/C][C]99.12[/C][C]105.087241383559[/C][C]96.2720833333333[/C][C]1.09156504923347[/C][C]0.943216309563417[/C][/ROW]
[ROW][C]57[/C][C]100[/C][C]95.8722467163471[/C][C]97.0754166666667[/C][C]0.987605822445749[/C][C]1.04305472568996[/C][/ROW]
[ROW][C]58[/C][C]99.68[/C][C]97.4880908662894[/C][C]97.8016666666667[/C][C]0.996793758112057[/C][C]1.022483865611[/C][/ROW]
[ROW][C]59[/C][C]100.08[/C][C]98.1623705003384[/C][C]98.3804166666667[/C][C]0.997783642581358[/C][C]1.01953528108467[/C][/ROW]
[ROW][C]60[/C][C]99.9[/C][C]99.2001849073563[/C][C]98.85625[/C][C]1.00347914175741[/C][C]1.00705457447783[/C][/ROW]
[ROW][C]61[/C][C]99.63[/C][C]96.4288405636166[/C][C]99.2775[/C][C]0.971306092151964[/C][C]1.03319711631575[/C][/ROW]
[ROW][C]62[/C][C]99.45[/C][C]96.7574078446428[/C][C]99.6529166666667[/C][C]0.970944063466711[/C][C]1.02782827915027[/C][/ROW]
[ROW][C]63[/C][C]99.63[/C][C]98.9682091418152[/C][C]100.029583333333[/C][C]0.989389397054856[/C][C]1.00668690344024[/C][/ROW]
[ROW][C]64[/C][C]99.46[/C][C]101.116014005091[/C][C]100.43375[/C][C]1.00679317465585[/C][C]0.983622633651203[/C][/ROW]
[ROW][C]65[/C][C]96.91[/C][C]96.5442539483732[/C][C]100.697916666667[/C][C]0.958751254685406[/C][C]1.0037883772122[/C][/ROW]
[ROW][C]66[/C][C]97.65[/C][C]96.3437747056618[/C][C]100.953333333333[/C][C]0.95433970850223[/C][C]1.01355796260141[/C][/ROW]
[ROW][C]67[/C][C]102.1[/C][C]NA[/C][C]NA[/C][C]1.07124889535294[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]103.57[/C][C]NA[/C][C]NA[/C][C]1.09156504923347[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]104.59[/C][C]NA[/C][C]NA[/C][C]0.987605822445749[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]104.79[/C][C]NA[/C][C]NA[/C][C]0.996793758112057[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]101.31[/C][C]NA[/C][C]NA[/C][C]0.997783642581358[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]104.8[/C][C]NA[/C][C]NA[/C][C]1.00347914175741[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205565&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205565&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
186.86NANA0.971306092151964NA
286.79NANA0.970944063466711NA
382.52NANA0.989389397054856NA
486.87NANA1.00679317465585NA
581.62NANA0.958751254685406NA
682.66NANA0.95433970850223NA
789.8788.939100475558983.023751.071248895352941.01046670721273
892.0489.668885063135882.14708333333331.091565049233471.02644300679321
979.7480.556949424769681.56791666666660.9876058224457490.989858734341318
1077.7580.896043431781681.156250.9967937581120570.961110045704094
1179.1280.547331776933380.726250.9977836425813580.98227958958484
1276.3780.459793818727580.18083333333331.003479141757410.949169720370629
1375.0177.338628744113279.62333333333330.9713060921519640.969890483165691
1477.676.874496224976879.1750.9709440634667111.00943750932559
1577.8177.754875977794878.588750.9893893970548561.00070894617877
1681.778.658233752924578.12751.006793174655851.03867066551011
1776.4774.613218477133977.82333333333330.9587512546854061.02488542326364
1874.7273.949795804111777.48791666666670.954339708502231.01041523086728
1984.4382.73612301775977.23333333333331.071248895352941.02047324578984
2086.7283.788078360390576.75958333333331.091565049233471.03499210982019
2170.9975.313997014860876.25916666666670.9876058224457490.942587072971209
2275.4375.641694334333575.8850.9967937581120570.997201353880338
2374.1475.321439948913575.488750.9977836425813580.984314692473819
2473.375.465812623248175.20416666666671.003479141757410.971300744695341
2571.9773.077427975668275.236250.9713060921519640.984845827140537
2669.2773.385570556919875.58166666666670.9709440634667110.943918531590244
2774.1375.464027278030776.27333333333330.9893893970548560.982322341834265
2876.477.71562364315377.191251.006793174655850.983071310741918
2972.2674.928407952111878.15208333333330.9587512546854060.96438723275934
3072.175.876766732195879.50708333333330.954339708502230.950224991194923
3187.8286.580121137250480.82166666666671.071248895352941.0143205951489
3291.6289.449207596977581.94583333333331.091565049233471.02426843637121
3382.6982.101318029619283.13166666666670.9876058224457491.00717018903604
3485.7683.943740347209284.213750.9967937581120571.0216366300248
3586.8785.011166347931785.20.9977836425813581.02186575872234
3693.0986.441783852528986.14208333333331.003479141757411.076909751872
3783.7384.379788490471586.87250.9713060921519640.992299240113112
3884.4984.644880652895687.17791666666660.9709440634667110.99817023012259
3987.3786.556731401344187.4850.9893893970548561.00939578684973
4089.1388.415737603964187.81916666666671.006793174655851.00807845317352
4183.284.322172849581587.950.9587512546854060.98669184140234
4283.7783.827211787109887.83791666666670.954339708502230.999317503399074
4393.6894.171704975651687.90833333333331.071248895352940.994778633605723
4493.0996.434769093301288.34541666666671.091565049233470.965315734928912
4588.5987.577180812654888.676250.9876058224457491.01156487543841
4687.8888.606243150778488.891250.9967937581120570.991803702256707
4787.8989.116214550785289.31416666666670.9977836425813580.986240275611276
4889.3890.300997385204389.98791666666661.003479141757410.989800806061139
4989.1387.899154231035590.49583333333330.9713060921519641.01400293074185
5089.5888.266502009626490.90791666666670.9709440634667111.01488104728825
5190.2290.662285153539691.63458333333330.9893893970548560.995121619173942
5291.4493.230725961755792.60166666666671.006793174655850.980792534400191
5391.0489.740315877622493.601250.9587512546854061.01448272283942
5492.190.230433589614694.54750.954339708502231.02071990941425
5597.54102.22214042422995.42333333333331.071248895352940.954196415719747
5699.12105.08724138355996.27208333333331.091565049233470.943216309563417
5710095.872246716347197.07541666666670.9876058224457491.04305472568996
5899.6897.488090866289497.80166666666670.9967937581120571.022483865611
59100.0898.162370500338498.38041666666670.9977836425813581.01953528108467
6099.999.200184907356398.856251.003479141757411.00705457447783
6199.6396.428840563616699.27750.9713060921519641.03319711631575
6299.4596.757407844642899.65291666666670.9709440634667111.02782827915027
6399.6398.9682091418152100.0295833333330.9893893970548561.00668690344024
6499.46101.116014005091100.433751.006793174655850.983622633651203
6596.9196.5442539483732100.6979166666670.9587512546854061.0037883772122
6697.6596.3437747056618100.9533333333330.954339708502231.01355796260141
67102.1NANA1.07124889535294NA
68103.57NANA1.09156504923347NA
69104.59NANA0.987605822445749NA
70104.79NANA0.996793758112057NA
71101.31NANA0.997783642581358NA
72104.8NANA1.00347914175741NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')