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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 29 Nov 2011 17:10:44 -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/2011/Nov/29/t1322604664yelo0k4dx9pmymv.htm/, Retrieved Wed, 01 May 2024 19:13:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148752, Retrieved Wed, 01 May 2024 19:13:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD    [Classical Decomposition] [test] [2011-11-29 22:10:44] [8aedcf735e397266388b06f47fe45218] [Current]
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Dataseries X:
13328
12873
14000
13477
14237
13674
13529
14058
12975
14326
14008
16193
14483
14011
15057
14884
15414
14440
14900
15074
14442
15307
14938
17193
15528
14765
15838
15723
16150
15486
15986
15983
15692
16490
15686
18897
16316
15636
17163
16534
16518
16375
16290
16352
15943
16362
16393
19051
16747
16320
17910
16961
17480
17049
16879
17473
16998
17307
17418
20169
17871
17226
19062
17804
19100
18522
18060
18869
18127
18871
18890
21263
19547
18450
20254
19240
20216
19420
19415
20018
18652
19978
19509
21971




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=148752&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=148752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148752&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
113328NANA0.997446154479086NA
212873NANA0.952612175250179NA
314000NANA1.03439377187718NA
413477NANA0.990786621874973NA
514237NANA1.02155910700688NA
613674NANA0.981559624901186NA
71352913639.25527867113937.95833333330.9785690954500890.991916327070772
81405813967.141917786914033.50.9952714517252921.00650513059493
91297513453.477967633814124.95833333330.9524614267983430.964434626586157
101432614151.698064367314227.6250.9946634146153911.01231667993762
111400813982.191906923914335.29166666670.9753684983917131.00184578306806
121619316222.730935554114416.251.12530865762970.998167328566799
131448314468.247392514214505.29166666670.9974461544790861.00101965408011
141401113912.662666485114604.750.9526121752501791.00706818930871
151505715214.07909547214708.20833333331.034393771877180.989675412196409
161488414673.756283847914810.20833333330.9907866218749731.01432787297848
171541415210.844843481314889.83333333331.021559107006881.01335594167248
181444014694.19297467714970.250.9815596249011860.982701127233388
191490014732.806242836515055.45833333330.9785690954500891.01134839856085
201507415058.871761041915130.41666666670.9952714517252921.00100460640068
211444214472.056091809115194.3750.9524614267983430.997923163673607
221530715180.428700933315261.8750.9946634146153911.00833779477249
231493814949.96065909915327.50.9753684983917130.999199953807792
241719317331.722617648215401.751.12530865762970.991996028282445
251552815451.022776471115490.58333333330.9974461544790861.00498201475996
261476514835.704172128515573.70833333330.9526121752501790.995234188326474
271583816202.399244760115663.66666666671.034393771877180.977509550329222
281572315619.792376634915765.04166666670.9907866218749731.00660749009184
291615016187.114830077515845.51.021559107006880.997707137407307
301548615653.585711382515947.66666666670.9815596249011860.989294100759252
311598615707.501835617116051.50.9785690954500891.01773026464026
321598316044.39784646916120.6250.9952714517252920.996173253302707
331569215441.423708933116212.1250.9524614267983431.01622753806839
341649016214.132654572316301.1250.9946634146153911.01701400570137
351568615947.518790829116350.250.9753684983917130.983601286553775
361889718458.015920353316402.6251.12530865762971.02378284218309
371631616410.316615541416452.33333333330.9974461544790860.994252602326266
381563615699.405877688716480.3750.9526121752501790.995961256229526
391716317073.919097307116506.20833333331.034393771877181.00521736703713
401653416359.20817598516511.33333333330.9907866218749731.01068461395776
411651816891.948048949516535.45833333331.021559107006880.977862349098764
421637516265.751730779216571.33333333330.9815596249011861.00671645989863
431629016240.047292103516595.70833333330.9785690954500891.00307589670141
441635216563.473378187616642.16666666670.9952714517252920.987232546377255
451594315907.81232092216701.79166666670.9524614267983431.00221197474349
461636216661.316748059816750.70833333330.9946634146153910.982035228512496
471639316394.562685925316808.58333333330.9753684983917130.999904682671003
481905118991.55288765216876.751.12530865762971.0031301870205
491674716886.139991484416929.3750.9974461544790860.99176010671743
501632016195.002361862617000.6250.9526121752501791.00771828465007
511791017679.125653336317091.29166666671.034393771877181.01305914959772
521696117016.388685719517174.6250.9907866218749730.996744979987091
531748017628.747554878217256.70833333331.021559107006880.991562216520764
541704917026.133253536173460.9815596249011861.00134303814751
551687917065.674192677217439.41666666670.9785690954500890.989061422914232
561747317441.136920034175240.9952714517252921.00182689237015
571699816772.607610562117609.750.9524614267983431.01343812451058
581730717598.455461863317692.8750.9946634146153910.983438577181112
591741817357.170113129717795.50.9753684983917131.00350459703245
602016920170.454370101317924.3751.12530865762970.999927896016888
611787117988.899835773918034.95833333330.9974461544790860.993445967410447
621722617282.607620780518142.33333333330.9526121752501790.99672459029201
631906218875.143452069318247.54166666671.034393771877181.00989960942047
641780418190.59468096918359.750.9907866218749730.97874755126211
651910018884.797041905918486.251.021559107006881.01139556637101
661852218250.301699058618593.16666666670.9815596249011861.01488733202451
671806018307.641469652618708.58333333330.9785690954500890.986473327541229
681886918740.380860973718829.41666666670.9952714517252921.00686320838303
691812718030.174181078218930.08333333330.9524614267983431.00537020984653
701887118937.976971187619039.58333333330.9946634146153910.996463351323665
711889018674.323989499519145.91666666670.9753684983917131.01154933429567
722126321639.497934776119229.83333333331.12530865762970.982601355359033
731954719274.358567358819323.70833333330.9974461544790861.01414529213454
741845018507.389032934419428.04166666670.9526121752501790.996899128621962
752025420168.394265358719497.79166666671.034393771877181.00424454884781
761924019385.524629726219565.79166666670.9907866218749730.99249312915148
772021620061.079788661619637.70833333331.021559107006881.00772242635843
781942019329.853693179196930.9815596249011861.00466357936546
7919415NANA0.978569095450089NA
8020018NANA0.995271451725292NA
8118652NANA0.952461426798343NA
8219978NANA0.994663414615391NA
8319509NANA0.975368498391713NA
8421971NANA1.1253086576297NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 13328 & NA & NA & 0.997446154479086 & NA \tabularnewline
2 & 12873 & NA & NA & 0.952612175250179 & NA \tabularnewline
3 & 14000 & NA & NA & 1.03439377187718 & NA \tabularnewline
4 & 13477 & NA & NA & 0.990786621874973 & NA \tabularnewline
5 & 14237 & NA & NA & 1.02155910700688 & NA \tabularnewline
6 & 13674 & NA & NA & 0.981559624901186 & NA \tabularnewline
7 & 13529 & 13639.255278671 & 13937.9583333333 & 0.978569095450089 & 0.991916327070772 \tabularnewline
8 & 14058 & 13967.1419177869 & 14033.5 & 0.995271451725292 & 1.00650513059493 \tabularnewline
9 & 12975 & 13453.4779676338 & 14124.9583333333 & 0.952461426798343 & 0.964434626586157 \tabularnewline
10 & 14326 & 14151.6980643673 & 14227.625 & 0.994663414615391 & 1.01231667993762 \tabularnewline
11 & 14008 & 13982.1919069239 & 14335.2916666667 & 0.975368498391713 & 1.00184578306806 \tabularnewline
12 & 16193 & 16222.7309355541 & 14416.25 & 1.1253086576297 & 0.998167328566799 \tabularnewline
13 & 14483 & 14468.2473925142 & 14505.2916666667 & 0.997446154479086 & 1.00101965408011 \tabularnewline
14 & 14011 & 13912.6626664851 & 14604.75 & 0.952612175250179 & 1.00706818930871 \tabularnewline
15 & 15057 & 15214.079095472 & 14708.2083333333 & 1.03439377187718 & 0.989675412196409 \tabularnewline
16 & 14884 & 14673.7562838479 & 14810.2083333333 & 0.990786621874973 & 1.01432787297848 \tabularnewline
17 & 15414 & 15210.8448434813 & 14889.8333333333 & 1.02155910700688 & 1.01335594167248 \tabularnewline
18 & 14440 & 14694.192974677 & 14970.25 & 0.981559624901186 & 0.982701127233388 \tabularnewline
19 & 14900 & 14732.8062428365 & 15055.4583333333 & 0.978569095450089 & 1.01134839856085 \tabularnewline
20 & 15074 & 15058.8717610419 & 15130.4166666667 & 0.995271451725292 & 1.00100460640068 \tabularnewline
21 & 14442 & 14472.0560918091 & 15194.375 & 0.952461426798343 & 0.997923163673607 \tabularnewline
22 & 15307 & 15180.4287009333 & 15261.875 & 0.994663414615391 & 1.00833779477249 \tabularnewline
23 & 14938 & 14949.960659099 & 15327.5 & 0.975368498391713 & 0.999199953807792 \tabularnewline
24 & 17193 & 17331.7226176482 & 15401.75 & 1.1253086576297 & 0.991996028282445 \tabularnewline
25 & 15528 & 15451.0227764711 & 15490.5833333333 & 0.997446154479086 & 1.00498201475996 \tabularnewline
26 & 14765 & 14835.7041721285 & 15573.7083333333 & 0.952612175250179 & 0.995234188326474 \tabularnewline
27 & 15838 & 16202.3992447601 & 15663.6666666667 & 1.03439377187718 & 0.977509550329222 \tabularnewline
28 & 15723 & 15619.7923766349 & 15765.0416666667 & 0.990786621874973 & 1.00660749009184 \tabularnewline
29 & 16150 & 16187.1148300775 & 15845.5 & 1.02155910700688 & 0.997707137407307 \tabularnewline
30 & 15486 & 15653.5857113825 & 15947.6666666667 & 0.981559624901186 & 0.989294100759252 \tabularnewline
31 & 15986 & 15707.5018356171 & 16051.5 & 0.978569095450089 & 1.01773026464026 \tabularnewline
32 & 15983 & 16044.397846469 & 16120.625 & 0.995271451725292 & 0.996173253302707 \tabularnewline
33 & 15692 & 15441.4237089331 & 16212.125 & 0.952461426798343 & 1.01622753806839 \tabularnewline
34 & 16490 & 16214.1326545723 & 16301.125 & 0.994663414615391 & 1.01701400570137 \tabularnewline
35 & 15686 & 15947.5187908291 & 16350.25 & 0.975368498391713 & 0.983601286553775 \tabularnewline
36 & 18897 & 18458.0159203533 & 16402.625 & 1.1253086576297 & 1.02378284218309 \tabularnewline
37 & 16316 & 16410.3166155414 & 16452.3333333333 & 0.997446154479086 & 0.994252602326266 \tabularnewline
38 & 15636 & 15699.4058776887 & 16480.375 & 0.952612175250179 & 0.995961256229526 \tabularnewline
39 & 17163 & 17073.9190973071 & 16506.2083333333 & 1.03439377187718 & 1.00521736703713 \tabularnewline
40 & 16534 & 16359.208175985 & 16511.3333333333 & 0.990786621874973 & 1.01068461395776 \tabularnewline
41 & 16518 & 16891.9480489495 & 16535.4583333333 & 1.02155910700688 & 0.977862349098764 \tabularnewline
42 & 16375 & 16265.7517307792 & 16571.3333333333 & 0.981559624901186 & 1.00671645989863 \tabularnewline
43 & 16290 & 16240.0472921035 & 16595.7083333333 & 0.978569095450089 & 1.00307589670141 \tabularnewline
44 & 16352 & 16563.4733781876 & 16642.1666666667 & 0.995271451725292 & 0.987232546377255 \tabularnewline
45 & 15943 & 15907.812320922 & 16701.7916666667 & 0.952461426798343 & 1.00221197474349 \tabularnewline
46 & 16362 & 16661.3167480598 & 16750.7083333333 & 0.994663414615391 & 0.982035228512496 \tabularnewline
47 & 16393 & 16394.5626859253 & 16808.5833333333 & 0.975368498391713 & 0.999904682671003 \tabularnewline
48 & 19051 & 18991.552887652 & 16876.75 & 1.1253086576297 & 1.0031301870205 \tabularnewline
49 & 16747 & 16886.1399914844 & 16929.375 & 0.997446154479086 & 0.99176010671743 \tabularnewline
50 & 16320 & 16195.0023618626 & 17000.625 & 0.952612175250179 & 1.00771828465007 \tabularnewline
51 & 17910 & 17679.1256533363 & 17091.2916666667 & 1.03439377187718 & 1.01305914959772 \tabularnewline
52 & 16961 & 17016.3886857195 & 17174.625 & 0.990786621874973 & 0.996744979987091 \tabularnewline
53 & 17480 & 17628.7475548782 & 17256.7083333333 & 1.02155910700688 & 0.991562216520764 \tabularnewline
54 & 17049 & 17026.133253536 & 17346 & 0.981559624901186 & 1.00134303814751 \tabularnewline
55 & 16879 & 17065.6741926772 & 17439.4166666667 & 0.978569095450089 & 0.989061422914232 \tabularnewline
56 & 17473 & 17441.136920034 & 17524 & 0.995271451725292 & 1.00182689237015 \tabularnewline
57 & 16998 & 16772.6076105621 & 17609.75 & 0.952461426798343 & 1.01343812451058 \tabularnewline
58 & 17307 & 17598.4554618633 & 17692.875 & 0.994663414615391 & 0.983438577181112 \tabularnewline
59 & 17418 & 17357.1701131297 & 17795.5 & 0.975368498391713 & 1.00350459703245 \tabularnewline
60 & 20169 & 20170.4543701013 & 17924.375 & 1.1253086576297 & 0.999927896016888 \tabularnewline
61 & 17871 & 17988.8998357739 & 18034.9583333333 & 0.997446154479086 & 0.993445967410447 \tabularnewline
62 & 17226 & 17282.6076207805 & 18142.3333333333 & 0.952612175250179 & 0.99672459029201 \tabularnewline
63 & 19062 & 18875.1434520693 & 18247.5416666667 & 1.03439377187718 & 1.00989960942047 \tabularnewline
64 & 17804 & 18190.594680969 & 18359.75 & 0.990786621874973 & 0.97874755126211 \tabularnewline
65 & 19100 & 18884.7970419059 & 18486.25 & 1.02155910700688 & 1.01139556637101 \tabularnewline
66 & 18522 & 18250.3016990586 & 18593.1666666667 & 0.981559624901186 & 1.01488733202451 \tabularnewline
67 & 18060 & 18307.6414696526 & 18708.5833333333 & 0.978569095450089 & 0.986473327541229 \tabularnewline
68 & 18869 & 18740.3808609737 & 18829.4166666667 & 0.995271451725292 & 1.00686320838303 \tabularnewline
69 & 18127 & 18030.1741810782 & 18930.0833333333 & 0.952461426798343 & 1.00537020984653 \tabularnewline
70 & 18871 & 18937.9769711876 & 19039.5833333333 & 0.994663414615391 & 0.996463351323665 \tabularnewline
71 & 18890 & 18674.3239894995 & 19145.9166666667 & 0.975368498391713 & 1.01154933429567 \tabularnewline
72 & 21263 & 21639.4979347761 & 19229.8333333333 & 1.1253086576297 & 0.982601355359033 \tabularnewline
73 & 19547 & 19274.3585673588 & 19323.7083333333 & 0.997446154479086 & 1.01414529213454 \tabularnewline
74 & 18450 & 18507.3890329344 & 19428.0416666667 & 0.952612175250179 & 0.996899128621962 \tabularnewline
75 & 20254 & 20168.3942653587 & 19497.7916666667 & 1.03439377187718 & 1.00424454884781 \tabularnewline
76 & 19240 & 19385.5246297262 & 19565.7916666667 & 0.990786621874973 & 0.99249312915148 \tabularnewline
77 & 20216 & 20061.0797886616 & 19637.7083333333 & 1.02155910700688 & 1.00772242635843 \tabularnewline
78 & 19420 & 19329.853693179 & 19693 & 0.981559624901186 & 1.00466357936546 \tabularnewline
79 & 19415 & NA & NA & 0.978569095450089 & NA \tabularnewline
80 & 20018 & NA & NA & 0.995271451725292 & NA \tabularnewline
81 & 18652 & NA & NA & 0.952461426798343 & NA \tabularnewline
82 & 19978 & NA & NA & 0.994663414615391 & NA \tabularnewline
83 & 19509 & NA & NA & 0.975368498391713 & NA \tabularnewline
84 & 21971 & NA & NA & 1.1253086576297 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148752&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]13328[/C][C]NA[/C][C]NA[/C][C]0.997446154479086[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]12873[/C][C]NA[/C][C]NA[/C][C]0.952612175250179[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]14000[/C][C]NA[/C][C]NA[/C][C]1.03439377187718[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]13477[/C][C]NA[/C][C]NA[/C][C]0.990786621874973[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]14237[/C][C]NA[/C][C]NA[/C][C]1.02155910700688[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]13674[/C][C]NA[/C][C]NA[/C][C]0.981559624901186[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]13529[/C][C]13639.255278671[/C][C]13937.9583333333[/C][C]0.978569095450089[/C][C]0.991916327070772[/C][/ROW]
[ROW][C]8[/C][C]14058[/C][C]13967.1419177869[/C][C]14033.5[/C][C]0.995271451725292[/C][C]1.00650513059493[/C][/ROW]
[ROW][C]9[/C][C]12975[/C][C]13453.4779676338[/C][C]14124.9583333333[/C][C]0.952461426798343[/C][C]0.964434626586157[/C][/ROW]
[ROW][C]10[/C][C]14326[/C][C]14151.6980643673[/C][C]14227.625[/C][C]0.994663414615391[/C][C]1.01231667993762[/C][/ROW]
[ROW][C]11[/C][C]14008[/C][C]13982.1919069239[/C][C]14335.2916666667[/C][C]0.975368498391713[/C][C]1.00184578306806[/C][/ROW]
[ROW][C]12[/C][C]16193[/C][C]16222.7309355541[/C][C]14416.25[/C][C]1.1253086576297[/C][C]0.998167328566799[/C][/ROW]
[ROW][C]13[/C][C]14483[/C][C]14468.2473925142[/C][C]14505.2916666667[/C][C]0.997446154479086[/C][C]1.00101965408011[/C][/ROW]
[ROW][C]14[/C][C]14011[/C][C]13912.6626664851[/C][C]14604.75[/C][C]0.952612175250179[/C][C]1.00706818930871[/C][/ROW]
[ROW][C]15[/C][C]15057[/C][C]15214.079095472[/C][C]14708.2083333333[/C][C]1.03439377187718[/C][C]0.989675412196409[/C][/ROW]
[ROW][C]16[/C][C]14884[/C][C]14673.7562838479[/C][C]14810.2083333333[/C][C]0.990786621874973[/C][C]1.01432787297848[/C][/ROW]
[ROW][C]17[/C][C]15414[/C][C]15210.8448434813[/C][C]14889.8333333333[/C][C]1.02155910700688[/C][C]1.01335594167248[/C][/ROW]
[ROW][C]18[/C][C]14440[/C][C]14694.192974677[/C][C]14970.25[/C][C]0.981559624901186[/C][C]0.982701127233388[/C][/ROW]
[ROW][C]19[/C][C]14900[/C][C]14732.8062428365[/C][C]15055.4583333333[/C][C]0.978569095450089[/C][C]1.01134839856085[/C][/ROW]
[ROW][C]20[/C][C]15074[/C][C]15058.8717610419[/C][C]15130.4166666667[/C][C]0.995271451725292[/C][C]1.00100460640068[/C][/ROW]
[ROW][C]21[/C][C]14442[/C][C]14472.0560918091[/C][C]15194.375[/C][C]0.952461426798343[/C][C]0.997923163673607[/C][/ROW]
[ROW][C]22[/C][C]15307[/C][C]15180.4287009333[/C][C]15261.875[/C][C]0.994663414615391[/C][C]1.00833779477249[/C][/ROW]
[ROW][C]23[/C][C]14938[/C][C]14949.960659099[/C][C]15327.5[/C][C]0.975368498391713[/C][C]0.999199953807792[/C][/ROW]
[ROW][C]24[/C][C]17193[/C][C]17331.7226176482[/C][C]15401.75[/C][C]1.1253086576297[/C][C]0.991996028282445[/C][/ROW]
[ROW][C]25[/C][C]15528[/C][C]15451.0227764711[/C][C]15490.5833333333[/C][C]0.997446154479086[/C][C]1.00498201475996[/C][/ROW]
[ROW][C]26[/C][C]14765[/C][C]14835.7041721285[/C][C]15573.7083333333[/C][C]0.952612175250179[/C][C]0.995234188326474[/C][/ROW]
[ROW][C]27[/C][C]15838[/C][C]16202.3992447601[/C][C]15663.6666666667[/C][C]1.03439377187718[/C][C]0.977509550329222[/C][/ROW]
[ROW][C]28[/C][C]15723[/C][C]15619.7923766349[/C][C]15765.0416666667[/C][C]0.990786621874973[/C][C]1.00660749009184[/C][/ROW]
[ROW][C]29[/C][C]16150[/C][C]16187.1148300775[/C][C]15845.5[/C][C]1.02155910700688[/C][C]0.997707137407307[/C][/ROW]
[ROW][C]30[/C][C]15486[/C][C]15653.5857113825[/C][C]15947.6666666667[/C][C]0.981559624901186[/C][C]0.989294100759252[/C][/ROW]
[ROW][C]31[/C][C]15986[/C][C]15707.5018356171[/C][C]16051.5[/C][C]0.978569095450089[/C][C]1.01773026464026[/C][/ROW]
[ROW][C]32[/C][C]15983[/C][C]16044.397846469[/C][C]16120.625[/C][C]0.995271451725292[/C][C]0.996173253302707[/C][/ROW]
[ROW][C]33[/C][C]15692[/C][C]15441.4237089331[/C][C]16212.125[/C][C]0.952461426798343[/C][C]1.01622753806839[/C][/ROW]
[ROW][C]34[/C][C]16490[/C][C]16214.1326545723[/C][C]16301.125[/C][C]0.994663414615391[/C][C]1.01701400570137[/C][/ROW]
[ROW][C]35[/C][C]15686[/C][C]15947.5187908291[/C][C]16350.25[/C][C]0.975368498391713[/C][C]0.983601286553775[/C][/ROW]
[ROW][C]36[/C][C]18897[/C][C]18458.0159203533[/C][C]16402.625[/C][C]1.1253086576297[/C][C]1.02378284218309[/C][/ROW]
[ROW][C]37[/C][C]16316[/C][C]16410.3166155414[/C][C]16452.3333333333[/C][C]0.997446154479086[/C][C]0.994252602326266[/C][/ROW]
[ROW][C]38[/C][C]15636[/C][C]15699.4058776887[/C][C]16480.375[/C][C]0.952612175250179[/C][C]0.995961256229526[/C][/ROW]
[ROW][C]39[/C][C]17163[/C][C]17073.9190973071[/C][C]16506.2083333333[/C][C]1.03439377187718[/C][C]1.00521736703713[/C][/ROW]
[ROW][C]40[/C][C]16534[/C][C]16359.208175985[/C][C]16511.3333333333[/C][C]0.990786621874973[/C][C]1.01068461395776[/C][/ROW]
[ROW][C]41[/C][C]16518[/C][C]16891.9480489495[/C][C]16535.4583333333[/C][C]1.02155910700688[/C][C]0.977862349098764[/C][/ROW]
[ROW][C]42[/C][C]16375[/C][C]16265.7517307792[/C][C]16571.3333333333[/C][C]0.981559624901186[/C][C]1.00671645989863[/C][/ROW]
[ROW][C]43[/C][C]16290[/C][C]16240.0472921035[/C][C]16595.7083333333[/C][C]0.978569095450089[/C][C]1.00307589670141[/C][/ROW]
[ROW][C]44[/C][C]16352[/C][C]16563.4733781876[/C][C]16642.1666666667[/C][C]0.995271451725292[/C][C]0.987232546377255[/C][/ROW]
[ROW][C]45[/C][C]15943[/C][C]15907.812320922[/C][C]16701.7916666667[/C][C]0.952461426798343[/C][C]1.00221197474349[/C][/ROW]
[ROW][C]46[/C][C]16362[/C][C]16661.3167480598[/C][C]16750.7083333333[/C][C]0.994663414615391[/C][C]0.982035228512496[/C][/ROW]
[ROW][C]47[/C][C]16393[/C][C]16394.5626859253[/C][C]16808.5833333333[/C][C]0.975368498391713[/C][C]0.999904682671003[/C][/ROW]
[ROW][C]48[/C][C]19051[/C][C]18991.552887652[/C][C]16876.75[/C][C]1.1253086576297[/C][C]1.0031301870205[/C][/ROW]
[ROW][C]49[/C][C]16747[/C][C]16886.1399914844[/C][C]16929.375[/C][C]0.997446154479086[/C][C]0.99176010671743[/C][/ROW]
[ROW][C]50[/C][C]16320[/C][C]16195.0023618626[/C][C]17000.625[/C][C]0.952612175250179[/C][C]1.00771828465007[/C][/ROW]
[ROW][C]51[/C][C]17910[/C][C]17679.1256533363[/C][C]17091.2916666667[/C][C]1.03439377187718[/C][C]1.01305914959772[/C][/ROW]
[ROW][C]52[/C][C]16961[/C][C]17016.3886857195[/C][C]17174.625[/C][C]0.990786621874973[/C][C]0.996744979987091[/C][/ROW]
[ROW][C]53[/C][C]17480[/C][C]17628.7475548782[/C][C]17256.7083333333[/C][C]1.02155910700688[/C][C]0.991562216520764[/C][/ROW]
[ROW][C]54[/C][C]17049[/C][C]17026.133253536[/C][C]17346[/C][C]0.981559624901186[/C][C]1.00134303814751[/C][/ROW]
[ROW][C]55[/C][C]16879[/C][C]17065.6741926772[/C][C]17439.4166666667[/C][C]0.978569095450089[/C][C]0.989061422914232[/C][/ROW]
[ROW][C]56[/C][C]17473[/C][C]17441.136920034[/C][C]17524[/C][C]0.995271451725292[/C][C]1.00182689237015[/C][/ROW]
[ROW][C]57[/C][C]16998[/C][C]16772.6076105621[/C][C]17609.75[/C][C]0.952461426798343[/C][C]1.01343812451058[/C][/ROW]
[ROW][C]58[/C][C]17307[/C][C]17598.4554618633[/C][C]17692.875[/C][C]0.994663414615391[/C][C]0.983438577181112[/C][/ROW]
[ROW][C]59[/C][C]17418[/C][C]17357.1701131297[/C][C]17795.5[/C][C]0.975368498391713[/C][C]1.00350459703245[/C][/ROW]
[ROW][C]60[/C][C]20169[/C][C]20170.4543701013[/C][C]17924.375[/C][C]1.1253086576297[/C][C]0.999927896016888[/C][/ROW]
[ROW][C]61[/C][C]17871[/C][C]17988.8998357739[/C][C]18034.9583333333[/C][C]0.997446154479086[/C][C]0.993445967410447[/C][/ROW]
[ROW][C]62[/C][C]17226[/C][C]17282.6076207805[/C][C]18142.3333333333[/C][C]0.952612175250179[/C][C]0.99672459029201[/C][/ROW]
[ROW][C]63[/C][C]19062[/C][C]18875.1434520693[/C][C]18247.5416666667[/C][C]1.03439377187718[/C][C]1.00989960942047[/C][/ROW]
[ROW][C]64[/C][C]17804[/C][C]18190.594680969[/C][C]18359.75[/C][C]0.990786621874973[/C][C]0.97874755126211[/C][/ROW]
[ROW][C]65[/C][C]19100[/C][C]18884.7970419059[/C][C]18486.25[/C][C]1.02155910700688[/C][C]1.01139556637101[/C][/ROW]
[ROW][C]66[/C][C]18522[/C][C]18250.3016990586[/C][C]18593.1666666667[/C][C]0.981559624901186[/C][C]1.01488733202451[/C][/ROW]
[ROW][C]67[/C][C]18060[/C][C]18307.6414696526[/C][C]18708.5833333333[/C][C]0.978569095450089[/C][C]0.986473327541229[/C][/ROW]
[ROW][C]68[/C][C]18869[/C][C]18740.3808609737[/C][C]18829.4166666667[/C][C]0.995271451725292[/C][C]1.00686320838303[/C][/ROW]
[ROW][C]69[/C][C]18127[/C][C]18030.1741810782[/C][C]18930.0833333333[/C][C]0.952461426798343[/C][C]1.00537020984653[/C][/ROW]
[ROW][C]70[/C][C]18871[/C][C]18937.9769711876[/C][C]19039.5833333333[/C][C]0.994663414615391[/C][C]0.996463351323665[/C][/ROW]
[ROW][C]71[/C][C]18890[/C][C]18674.3239894995[/C][C]19145.9166666667[/C][C]0.975368498391713[/C][C]1.01154933429567[/C][/ROW]
[ROW][C]72[/C][C]21263[/C][C]21639.4979347761[/C][C]19229.8333333333[/C][C]1.1253086576297[/C][C]0.982601355359033[/C][/ROW]
[ROW][C]73[/C][C]19547[/C][C]19274.3585673588[/C][C]19323.7083333333[/C][C]0.997446154479086[/C][C]1.01414529213454[/C][/ROW]
[ROW][C]74[/C][C]18450[/C][C]18507.3890329344[/C][C]19428.0416666667[/C][C]0.952612175250179[/C][C]0.996899128621962[/C][/ROW]
[ROW][C]75[/C][C]20254[/C][C]20168.3942653587[/C][C]19497.7916666667[/C][C]1.03439377187718[/C][C]1.00424454884781[/C][/ROW]
[ROW][C]76[/C][C]19240[/C][C]19385.5246297262[/C][C]19565.7916666667[/C][C]0.990786621874973[/C][C]0.99249312915148[/C][/ROW]
[ROW][C]77[/C][C]20216[/C][C]20061.0797886616[/C][C]19637.7083333333[/C][C]1.02155910700688[/C][C]1.00772242635843[/C][/ROW]
[ROW][C]78[/C][C]19420[/C][C]19329.853693179[/C][C]19693[/C][C]0.981559624901186[/C][C]1.00466357936546[/C][/ROW]
[ROW][C]79[/C][C]19415[/C][C]NA[/C][C]NA[/C][C]0.978569095450089[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]20018[/C][C]NA[/C][C]NA[/C][C]0.995271451725292[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]18652[/C][C]NA[/C][C]NA[/C][C]0.952461426798343[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]19978[/C][C]NA[/C][C]NA[/C][C]0.994663414615391[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]19509[/C][C]NA[/C][C]NA[/C][C]0.975368498391713[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]21971[/C][C]NA[/C][C]NA[/C][C]1.1253086576297[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148752&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
113328NANA0.997446154479086NA
212873NANA0.952612175250179NA
314000NANA1.03439377187718NA
413477NANA0.990786621874973NA
514237NANA1.02155910700688NA
613674NANA0.981559624901186NA
71352913639.25527867113937.95833333330.9785690954500890.991916327070772
81405813967.141917786914033.50.9952714517252921.00650513059493
91297513453.477967633814124.95833333330.9524614267983430.964434626586157
101432614151.698064367314227.6250.9946634146153911.01231667993762
111400813982.191906923914335.29166666670.9753684983917131.00184578306806
121619316222.730935554114416.251.12530865762970.998167328566799
131448314468.247392514214505.29166666670.9974461544790861.00101965408011
141401113912.662666485114604.750.9526121752501791.00706818930871
151505715214.07909547214708.20833333331.034393771877180.989675412196409
161488414673.756283847914810.20833333330.9907866218749731.01432787297848
171541415210.844843481314889.83333333331.021559107006881.01335594167248
181444014694.19297467714970.250.9815596249011860.982701127233388
191490014732.806242836515055.45833333330.9785690954500891.01134839856085
201507415058.871761041915130.41666666670.9952714517252921.00100460640068
211444214472.056091809115194.3750.9524614267983430.997923163673607
221530715180.428700933315261.8750.9946634146153911.00833779477249
231493814949.96065909915327.50.9753684983917130.999199953807792
241719317331.722617648215401.751.12530865762970.991996028282445
251552815451.022776471115490.58333333330.9974461544790861.00498201475996
261476514835.704172128515573.70833333330.9526121752501790.995234188326474
271583816202.399244760115663.66666666671.034393771877180.977509550329222
281572315619.792376634915765.04166666670.9907866218749731.00660749009184
291615016187.114830077515845.51.021559107006880.997707137407307
301548615653.585711382515947.66666666670.9815596249011860.989294100759252
311598615707.501835617116051.50.9785690954500891.01773026464026
321598316044.39784646916120.6250.9952714517252920.996173253302707
331569215441.423708933116212.1250.9524614267983431.01622753806839
341649016214.132654572316301.1250.9946634146153911.01701400570137
351568615947.518790829116350.250.9753684983917130.983601286553775
361889718458.015920353316402.6251.12530865762971.02378284218309
371631616410.316615541416452.33333333330.9974461544790860.994252602326266
381563615699.405877688716480.3750.9526121752501790.995961256229526
391716317073.919097307116506.20833333331.034393771877181.00521736703713
401653416359.20817598516511.33333333330.9907866218749731.01068461395776
411651816891.948048949516535.45833333331.021559107006880.977862349098764
421637516265.751730779216571.33333333330.9815596249011861.00671645989863
431629016240.047292103516595.70833333330.9785690954500891.00307589670141
441635216563.473378187616642.16666666670.9952714517252920.987232546377255
451594315907.81232092216701.79166666670.9524614267983431.00221197474349
461636216661.316748059816750.70833333330.9946634146153910.982035228512496
471639316394.562685925316808.58333333330.9753684983917130.999904682671003
481905118991.55288765216876.751.12530865762971.0031301870205
491674716886.139991484416929.3750.9974461544790860.99176010671743
501632016195.002361862617000.6250.9526121752501791.00771828465007
511791017679.125653336317091.29166666671.034393771877181.01305914959772
521696117016.388685719517174.6250.9907866218749730.996744979987091
531748017628.747554878217256.70833333331.021559107006880.991562216520764
541704917026.133253536173460.9815596249011861.00134303814751
551687917065.674192677217439.41666666670.9785690954500890.989061422914232
561747317441.136920034175240.9952714517252921.00182689237015
571699816772.607610562117609.750.9524614267983431.01343812451058
581730717598.455461863317692.8750.9946634146153910.983438577181112
591741817357.170113129717795.50.9753684983917131.00350459703245
602016920170.454370101317924.3751.12530865762970.999927896016888
611787117988.899835773918034.95833333330.9974461544790860.993445967410447
621722617282.607620780518142.33333333330.9526121752501790.99672459029201
631906218875.143452069318247.54166666671.034393771877181.00989960942047
641780418190.59468096918359.750.9907866218749730.97874755126211
651910018884.797041905918486.251.021559107006881.01139556637101
661852218250.301699058618593.16666666670.9815596249011861.01488733202451
671806018307.641469652618708.58333333330.9785690954500890.986473327541229
681886918740.380860973718829.41666666670.9952714517252921.00686320838303
691812718030.174181078218930.08333333330.9524614267983431.00537020984653
701887118937.976971187619039.58333333330.9946634146153910.996463351323665
711889018674.323989499519145.91666666670.9753684983917131.01154933429567
722126321639.497934776119229.83333333331.12530865762970.982601355359033
731954719274.358567358819323.70833333330.9974461544790861.01414529213454
741845018507.389032934419428.04166666670.9526121752501790.996899128621962
752025420168.394265358719497.79166666671.034393771877181.00424454884781
761924019385.524629726219565.79166666670.9907866218749730.99249312915148
772021620061.079788661619637.70833333331.021559107006881.00772242635843
781942019329.853693179196930.9815596249011861.00466357936546
7919415NANA0.978569095450089NA
8020018NANA0.995271451725292NA
8118652NANA0.952461426798343NA
8219978NANA0.994663414615391NA
8319509NANA0.975368498391713NA
8421971NANA1.1253086576297NA



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')