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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 05 May 2012 15:19:27 -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/05/t13362455895ga314xwjyrip8w.htm/, Retrieved Wed, 01 May 2024 12:43:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166235, Retrieved Wed, 01 May 2024 12:43:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W92
Estimated Impact175
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Niet-werkende wer...] [2012-05-05 19:19:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811
104519
106758
109337
109078
108293
106534
99197
103493
130676
137448
134704
123725
118277
121225
120528
118240
112514
107304
100001
102082
130455
135574
132540
119920
112454
109415
109843
106365
102304
97968
92462
92286
120092
126656
124144
114045
108120
105698




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=166235&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=166235&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166235&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
1125326NANA0.994478638668996NA
2122716NANA0.971504146696046NA
3116615NANA0.931939659306085NA
4113719NANA0.907687276030653NA
5110737NANA0.843907049097937NA
6112093NANA0.860095046303237NA
7143565141791.3166147231260101.125238604989471.01250911147187
8149946147492.548547779125168.1666666671.178355107976971.01663440951003
9149147143001.97889636124191.0833333331.151467360281721.04297158089045
10134339130219.279653772123194.2916666671.057023648515421.03163679262534
11122683121097.551877304122022.9583333330.9924161283362641.01309232183573
12115614118853.40105409120554.750.9858873337972150.972744565781373
13116566118294.725787635118951.50.9944786386689960.985386281796379
14111272113982.857432618117326.1666666670.9715041466960460.976216972502022
15104609107602.335525768115460.6250.9319396593060850.972181500418727
16101802103116.527103155113603.5833333330.9076872760306530.987252023122931
179454294586.7195514075112081.9166666670.8439070490979370.999527211096657
189305195403.1401904053110921.6250.8600950463032370.975345253985236
19124129123759.3679697661099851.125238604989471.00298669940141
20130374128532.274781005109077.7083333331.178355107976971.01432889305144
21123946124637.225967227108242.0833333331.151467360281720.994454096985367
22114971113594.455752574107466.3333333331.057023648515421.01211805838856
23105531105862.971891214106671.9583333330.9924161283362640.996864135917561
24104919104506.152393089106002.1250.9858873337972151.00395046222119
25104782104843.9049603181054260.9944786386689960.999409551176666
26101281101680.659943667104663.1250.9715041466960460.996069459581713
279454596880.1755913554103955.4166666670.9319396593060850.975896249391565
289324893863.6386519045103409.6666666670.9076872760306530.993441138008855
298403187015.9590883625103110.8333333330.8439070490979370.965696417994642
308748688714.7544120026103145.2916666670.8600950463032370.986149379320873
31115867116362.846424577103411.7083333331.125238604989470.995738790861404
32120327122462.17483478103926.3751.178355107976970.982564617706159
33117008120701.510529784104824.0833333331.151467360281720.969399632916169
34108811111992.184072033105950.51.057023648515420.971594588511761
35104519106323.4943254341071360.9924161283362640.983028263537777
36106758106904.569804384108434.8750.9858873337972150.998628965958588
37109337109113.077446294109718.8750.9944786386689961.00205220638027
38109078107884.847341825111049.2916666670.9715041466960461.01105950175185
39108293104843.2116719351125000.9319396593060851.032904260305
40106534103348.138639755113858.750.9076872760306531.03082649965618
419919797094.389347802115053.4166666670.8439070490979371.02165532598044
4210349399968.3813470085116229.4583333330.8600950463032371.03525733442414
43130676131988.847392299117298.5416666671.125238604989470.990053346034634
44137448139218.62996086118146.5833333331.178355107976970.987281659348628
45134704136684.021423915118704.2083333331.151467360281720.985513877896717
46123725125692.972262873118912.1666666671.057023648515420.984343020715927
47118277118075.43801316118977.750.9924161283362641.00170706109782
48121225117273.721994874118952.4583333330.9858873337972151.03369278247431
49120528118228.054282234118884.4583333330.9944786386689961.01945346839825
50118240115411.940032408118797.1666666670.9715041466960461.02450405015978
51112514110554.992182183118628.9166666670.9319396593060851.01771975900092
52107304107452.208838025118380.2083333330.9076872760306530.998620699940678
5310000199563.3449083192117979.0416666670.8439070490979371.00439574516187
54102082100841.270307126117244.3333333330.8600950463032371.01230378880686
55130455130873.173315452116307.0416666671.125238604989470.996804743822909
56135574135943.342840108115367.0416666671.178355107976970.997283111975976
57132540131781.793070935114446.8333333331.151467360281721.00575350290352
58119920120112.151654624113632.4166666671.057023648515420.998400231350641
59112454112072.85041159112929.2916666670.9924161283362641.00340090920335
60109415110623.4600633841122070.9858873337972150.989075915156769
61109843110752.14398926111367.0416666670.9944786386689960.991791183840665
62106365107413.060640586110563.6666666670.9715041466960460.990242707596863
63102304102366.349042414109842.250.9319396593060850.999390922476018
649796899162.6791490683109247.6250.9076872760306530.987952330863586
659246291835.8638736979108822.250.8439070490979371.00681799135862
669228693308.9521018313108486.7916666670.8600950463032370.989036935055118
67120092NANA1.12523860498947NA
68126656NANA1.17835510797697NA
69124144NANA1.15146736028172NA
70114045NANA1.05702364851542NA
71108120NANA0.992416128336264NA
72105698NANA0.985887333797215NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 125326 & NA & NA & 0.994478638668996 & NA \tabularnewline
2 & 122716 & NA & NA & 0.971504146696046 & NA \tabularnewline
3 & 116615 & NA & NA & 0.931939659306085 & NA \tabularnewline
4 & 113719 & NA & NA & 0.907687276030653 & NA \tabularnewline
5 & 110737 & NA & NA & 0.843907049097937 & NA \tabularnewline
6 & 112093 & NA & NA & 0.860095046303237 & NA \tabularnewline
7 & 143565 & 141791.316614723 & 126010 & 1.12523860498947 & 1.01250911147187 \tabularnewline
8 & 149946 & 147492.548547779 & 125168.166666667 & 1.17835510797697 & 1.01663440951003 \tabularnewline
9 & 149147 & 143001.97889636 & 124191.083333333 & 1.15146736028172 & 1.04297158089045 \tabularnewline
10 & 134339 & 130219.279653772 & 123194.291666667 & 1.05702364851542 & 1.03163679262534 \tabularnewline
11 & 122683 & 121097.551877304 & 122022.958333333 & 0.992416128336264 & 1.01309232183573 \tabularnewline
12 & 115614 & 118853.40105409 & 120554.75 & 0.985887333797215 & 0.972744565781373 \tabularnewline
13 & 116566 & 118294.725787635 & 118951.5 & 0.994478638668996 & 0.985386281796379 \tabularnewline
14 & 111272 & 113982.857432618 & 117326.166666667 & 0.971504146696046 & 0.976216972502022 \tabularnewline
15 & 104609 & 107602.335525768 & 115460.625 & 0.931939659306085 & 0.972181500418727 \tabularnewline
16 & 101802 & 103116.527103155 & 113603.583333333 & 0.907687276030653 & 0.987252023122931 \tabularnewline
17 & 94542 & 94586.7195514075 & 112081.916666667 & 0.843907049097937 & 0.999527211096657 \tabularnewline
18 & 93051 & 95403.1401904053 & 110921.625 & 0.860095046303237 & 0.975345253985236 \tabularnewline
19 & 124129 & 123759.367969766 & 109985 & 1.12523860498947 & 1.00298669940141 \tabularnewline
20 & 130374 & 128532.274781005 & 109077.708333333 & 1.17835510797697 & 1.01432889305144 \tabularnewline
21 & 123946 & 124637.225967227 & 108242.083333333 & 1.15146736028172 & 0.994454096985367 \tabularnewline
22 & 114971 & 113594.455752574 & 107466.333333333 & 1.05702364851542 & 1.01211805838856 \tabularnewline
23 & 105531 & 105862.971891214 & 106671.958333333 & 0.992416128336264 & 0.996864135917561 \tabularnewline
24 & 104919 & 104506.152393089 & 106002.125 & 0.985887333797215 & 1.00395046222119 \tabularnewline
25 & 104782 & 104843.904960318 & 105426 & 0.994478638668996 & 0.999409551176666 \tabularnewline
26 & 101281 & 101680.659943667 & 104663.125 & 0.971504146696046 & 0.996069459581713 \tabularnewline
27 & 94545 & 96880.1755913554 & 103955.416666667 & 0.931939659306085 & 0.975896249391565 \tabularnewline
28 & 93248 & 93863.6386519045 & 103409.666666667 & 0.907687276030653 & 0.993441138008855 \tabularnewline
29 & 84031 & 87015.9590883625 & 103110.833333333 & 0.843907049097937 & 0.965696417994642 \tabularnewline
30 & 87486 & 88714.7544120026 & 103145.291666667 & 0.860095046303237 & 0.986149379320873 \tabularnewline
31 & 115867 & 116362.846424577 & 103411.708333333 & 1.12523860498947 & 0.995738790861404 \tabularnewline
32 & 120327 & 122462.17483478 & 103926.375 & 1.17835510797697 & 0.982564617706159 \tabularnewline
33 & 117008 & 120701.510529784 & 104824.083333333 & 1.15146736028172 & 0.969399632916169 \tabularnewline
34 & 108811 & 111992.184072033 & 105950.5 & 1.05702364851542 & 0.971594588511761 \tabularnewline
35 & 104519 & 106323.494325434 & 107136 & 0.992416128336264 & 0.983028263537777 \tabularnewline
36 & 106758 & 106904.569804384 & 108434.875 & 0.985887333797215 & 0.998628965958588 \tabularnewline
37 & 109337 & 109113.077446294 & 109718.875 & 0.994478638668996 & 1.00205220638027 \tabularnewline
38 & 109078 & 107884.847341825 & 111049.291666667 & 0.971504146696046 & 1.01105950175185 \tabularnewline
39 & 108293 & 104843.211671935 & 112500 & 0.931939659306085 & 1.032904260305 \tabularnewline
40 & 106534 & 103348.138639755 & 113858.75 & 0.907687276030653 & 1.03082649965618 \tabularnewline
41 & 99197 & 97094.389347802 & 115053.416666667 & 0.843907049097937 & 1.02165532598044 \tabularnewline
42 & 103493 & 99968.3813470085 & 116229.458333333 & 0.860095046303237 & 1.03525733442414 \tabularnewline
43 & 130676 & 131988.847392299 & 117298.541666667 & 1.12523860498947 & 0.990053346034634 \tabularnewline
44 & 137448 & 139218.62996086 & 118146.583333333 & 1.17835510797697 & 0.987281659348628 \tabularnewline
45 & 134704 & 136684.021423915 & 118704.208333333 & 1.15146736028172 & 0.985513877896717 \tabularnewline
46 & 123725 & 125692.972262873 & 118912.166666667 & 1.05702364851542 & 0.984343020715927 \tabularnewline
47 & 118277 & 118075.43801316 & 118977.75 & 0.992416128336264 & 1.00170706109782 \tabularnewline
48 & 121225 & 117273.721994874 & 118952.458333333 & 0.985887333797215 & 1.03369278247431 \tabularnewline
49 & 120528 & 118228.054282234 & 118884.458333333 & 0.994478638668996 & 1.01945346839825 \tabularnewline
50 & 118240 & 115411.940032408 & 118797.166666667 & 0.971504146696046 & 1.02450405015978 \tabularnewline
51 & 112514 & 110554.992182183 & 118628.916666667 & 0.931939659306085 & 1.01771975900092 \tabularnewline
52 & 107304 & 107452.208838025 & 118380.208333333 & 0.907687276030653 & 0.998620699940678 \tabularnewline
53 & 100001 & 99563.3449083192 & 117979.041666667 & 0.843907049097937 & 1.00439574516187 \tabularnewline
54 & 102082 & 100841.270307126 & 117244.333333333 & 0.860095046303237 & 1.01230378880686 \tabularnewline
55 & 130455 & 130873.173315452 & 116307.041666667 & 1.12523860498947 & 0.996804743822909 \tabularnewline
56 & 135574 & 135943.342840108 & 115367.041666667 & 1.17835510797697 & 0.997283111975976 \tabularnewline
57 & 132540 & 131781.793070935 & 114446.833333333 & 1.15146736028172 & 1.00575350290352 \tabularnewline
58 & 119920 & 120112.151654624 & 113632.416666667 & 1.05702364851542 & 0.998400231350641 \tabularnewline
59 & 112454 & 112072.85041159 & 112929.291666667 & 0.992416128336264 & 1.00340090920335 \tabularnewline
60 & 109415 & 110623.460063384 & 112207 & 0.985887333797215 & 0.989075915156769 \tabularnewline
61 & 109843 & 110752.14398926 & 111367.041666667 & 0.994478638668996 & 0.991791183840665 \tabularnewline
62 & 106365 & 107413.060640586 & 110563.666666667 & 0.971504146696046 & 0.990242707596863 \tabularnewline
63 & 102304 & 102366.349042414 & 109842.25 & 0.931939659306085 & 0.999390922476018 \tabularnewline
64 & 97968 & 99162.6791490683 & 109247.625 & 0.907687276030653 & 0.987952330863586 \tabularnewline
65 & 92462 & 91835.8638736979 & 108822.25 & 0.843907049097937 & 1.00681799135862 \tabularnewline
66 & 92286 & 93308.9521018313 & 108486.791666667 & 0.860095046303237 & 0.989036935055118 \tabularnewline
67 & 120092 & NA & NA & 1.12523860498947 & NA \tabularnewline
68 & 126656 & NA & NA & 1.17835510797697 & NA \tabularnewline
69 & 124144 & NA & NA & 1.15146736028172 & NA \tabularnewline
70 & 114045 & NA & NA & 1.05702364851542 & NA \tabularnewline
71 & 108120 & NA & NA & 0.992416128336264 & NA \tabularnewline
72 & 105698 & NA & NA & 0.985887333797215 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166235&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]125326[/C][C]NA[/C][C]NA[/C][C]0.994478638668996[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]122716[/C][C]NA[/C][C]NA[/C][C]0.971504146696046[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]116615[/C][C]NA[/C][C]NA[/C][C]0.931939659306085[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]113719[/C][C]NA[/C][C]NA[/C][C]0.907687276030653[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]110737[/C][C]NA[/C][C]NA[/C][C]0.843907049097937[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]112093[/C][C]NA[/C][C]NA[/C][C]0.860095046303237[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]143565[/C][C]141791.316614723[/C][C]126010[/C][C]1.12523860498947[/C][C]1.01250911147187[/C][/ROW]
[ROW][C]8[/C][C]149946[/C][C]147492.548547779[/C][C]125168.166666667[/C][C]1.17835510797697[/C][C]1.01663440951003[/C][/ROW]
[ROW][C]9[/C][C]149147[/C][C]143001.97889636[/C][C]124191.083333333[/C][C]1.15146736028172[/C][C]1.04297158089045[/C][/ROW]
[ROW][C]10[/C][C]134339[/C][C]130219.279653772[/C][C]123194.291666667[/C][C]1.05702364851542[/C][C]1.03163679262534[/C][/ROW]
[ROW][C]11[/C][C]122683[/C][C]121097.551877304[/C][C]122022.958333333[/C][C]0.992416128336264[/C][C]1.01309232183573[/C][/ROW]
[ROW][C]12[/C][C]115614[/C][C]118853.40105409[/C][C]120554.75[/C][C]0.985887333797215[/C][C]0.972744565781373[/C][/ROW]
[ROW][C]13[/C][C]116566[/C][C]118294.725787635[/C][C]118951.5[/C][C]0.994478638668996[/C][C]0.985386281796379[/C][/ROW]
[ROW][C]14[/C][C]111272[/C][C]113982.857432618[/C][C]117326.166666667[/C][C]0.971504146696046[/C][C]0.976216972502022[/C][/ROW]
[ROW][C]15[/C][C]104609[/C][C]107602.335525768[/C][C]115460.625[/C][C]0.931939659306085[/C][C]0.972181500418727[/C][/ROW]
[ROW][C]16[/C][C]101802[/C][C]103116.527103155[/C][C]113603.583333333[/C][C]0.907687276030653[/C][C]0.987252023122931[/C][/ROW]
[ROW][C]17[/C][C]94542[/C][C]94586.7195514075[/C][C]112081.916666667[/C][C]0.843907049097937[/C][C]0.999527211096657[/C][/ROW]
[ROW][C]18[/C][C]93051[/C][C]95403.1401904053[/C][C]110921.625[/C][C]0.860095046303237[/C][C]0.975345253985236[/C][/ROW]
[ROW][C]19[/C][C]124129[/C][C]123759.367969766[/C][C]109985[/C][C]1.12523860498947[/C][C]1.00298669940141[/C][/ROW]
[ROW][C]20[/C][C]130374[/C][C]128532.274781005[/C][C]109077.708333333[/C][C]1.17835510797697[/C][C]1.01432889305144[/C][/ROW]
[ROW][C]21[/C][C]123946[/C][C]124637.225967227[/C][C]108242.083333333[/C][C]1.15146736028172[/C][C]0.994454096985367[/C][/ROW]
[ROW][C]22[/C][C]114971[/C][C]113594.455752574[/C][C]107466.333333333[/C][C]1.05702364851542[/C][C]1.01211805838856[/C][/ROW]
[ROW][C]23[/C][C]105531[/C][C]105862.971891214[/C][C]106671.958333333[/C][C]0.992416128336264[/C][C]0.996864135917561[/C][/ROW]
[ROW][C]24[/C][C]104919[/C][C]104506.152393089[/C][C]106002.125[/C][C]0.985887333797215[/C][C]1.00395046222119[/C][/ROW]
[ROW][C]25[/C][C]104782[/C][C]104843.904960318[/C][C]105426[/C][C]0.994478638668996[/C][C]0.999409551176666[/C][/ROW]
[ROW][C]26[/C][C]101281[/C][C]101680.659943667[/C][C]104663.125[/C][C]0.971504146696046[/C][C]0.996069459581713[/C][/ROW]
[ROW][C]27[/C][C]94545[/C][C]96880.1755913554[/C][C]103955.416666667[/C][C]0.931939659306085[/C][C]0.975896249391565[/C][/ROW]
[ROW][C]28[/C][C]93248[/C][C]93863.6386519045[/C][C]103409.666666667[/C][C]0.907687276030653[/C][C]0.993441138008855[/C][/ROW]
[ROW][C]29[/C][C]84031[/C][C]87015.9590883625[/C][C]103110.833333333[/C][C]0.843907049097937[/C][C]0.965696417994642[/C][/ROW]
[ROW][C]30[/C][C]87486[/C][C]88714.7544120026[/C][C]103145.291666667[/C][C]0.860095046303237[/C][C]0.986149379320873[/C][/ROW]
[ROW][C]31[/C][C]115867[/C][C]116362.846424577[/C][C]103411.708333333[/C][C]1.12523860498947[/C][C]0.995738790861404[/C][/ROW]
[ROW][C]32[/C][C]120327[/C][C]122462.17483478[/C][C]103926.375[/C][C]1.17835510797697[/C][C]0.982564617706159[/C][/ROW]
[ROW][C]33[/C][C]117008[/C][C]120701.510529784[/C][C]104824.083333333[/C][C]1.15146736028172[/C][C]0.969399632916169[/C][/ROW]
[ROW][C]34[/C][C]108811[/C][C]111992.184072033[/C][C]105950.5[/C][C]1.05702364851542[/C][C]0.971594588511761[/C][/ROW]
[ROW][C]35[/C][C]104519[/C][C]106323.494325434[/C][C]107136[/C][C]0.992416128336264[/C][C]0.983028263537777[/C][/ROW]
[ROW][C]36[/C][C]106758[/C][C]106904.569804384[/C][C]108434.875[/C][C]0.985887333797215[/C][C]0.998628965958588[/C][/ROW]
[ROW][C]37[/C][C]109337[/C][C]109113.077446294[/C][C]109718.875[/C][C]0.994478638668996[/C][C]1.00205220638027[/C][/ROW]
[ROW][C]38[/C][C]109078[/C][C]107884.847341825[/C][C]111049.291666667[/C][C]0.971504146696046[/C][C]1.01105950175185[/C][/ROW]
[ROW][C]39[/C][C]108293[/C][C]104843.211671935[/C][C]112500[/C][C]0.931939659306085[/C][C]1.032904260305[/C][/ROW]
[ROW][C]40[/C][C]106534[/C][C]103348.138639755[/C][C]113858.75[/C][C]0.907687276030653[/C][C]1.03082649965618[/C][/ROW]
[ROW][C]41[/C][C]99197[/C][C]97094.389347802[/C][C]115053.416666667[/C][C]0.843907049097937[/C][C]1.02165532598044[/C][/ROW]
[ROW][C]42[/C][C]103493[/C][C]99968.3813470085[/C][C]116229.458333333[/C][C]0.860095046303237[/C][C]1.03525733442414[/C][/ROW]
[ROW][C]43[/C][C]130676[/C][C]131988.847392299[/C][C]117298.541666667[/C][C]1.12523860498947[/C][C]0.990053346034634[/C][/ROW]
[ROW][C]44[/C][C]137448[/C][C]139218.62996086[/C][C]118146.583333333[/C][C]1.17835510797697[/C][C]0.987281659348628[/C][/ROW]
[ROW][C]45[/C][C]134704[/C][C]136684.021423915[/C][C]118704.208333333[/C][C]1.15146736028172[/C][C]0.985513877896717[/C][/ROW]
[ROW][C]46[/C][C]123725[/C][C]125692.972262873[/C][C]118912.166666667[/C][C]1.05702364851542[/C][C]0.984343020715927[/C][/ROW]
[ROW][C]47[/C][C]118277[/C][C]118075.43801316[/C][C]118977.75[/C][C]0.992416128336264[/C][C]1.00170706109782[/C][/ROW]
[ROW][C]48[/C][C]121225[/C][C]117273.721994874[/C][C]118952.458333333[/C][C]0.985887333797215[/C][C]1.03369278247431[/C][/ROW]
[ROW][C]49[/C][C]120528[/C][C]118228.054282234[/C][C]118884.458333333[/C][C]0.994478638668996[/C][C]1.01945346839825[/C][/ROW]
[ROW][C]50[/C][C]118240[/C][C]115411.940032408[/C][C]118797.166666667[/C][C]0.971504146696046[/C][C]1.02450405015978[/C][/ROW]
[ROW][C]51[/C][C]112514[/C][C]110554.992182183[/C][C]118628.916666667[/C][C]0.931939659306085[/C][C]1.01771975900092[/C][/ROW]
[ROW][C]52[/C][C]107304[/C][C]107452.208838025[/C][C]118380.208333333[/C][C]0.907687276030653[/C][C]0.998620699940678[/C][/ROW]
[ROW][C]53[/C][C]100001[/C][C]99563.3449083192[/C][C]117979.041666667[/C][C]0.843907049097937[/C][C]1.00439574516187[/C][/ROW]
[ROW][C]54[/C][C]102082[/C][C]100841.270307126[/C][C]117244.333333333[/C][C]0.860095046303237[/C][C]1.01230378880686[/C][/ROW]
[ROW][C]55[/C][C]130455[/C][C]130873.173315452[/C][C]116307.041666667[/C][C]1.12523860498947[/C][C]0.996804743822909[/C][/ROW]
[ROW][C]56[/C][C]135574[/C][C]135943.342840108[/C][C]115367.041666667[/C][C]1.17835510797697[/C][C]0.997283111975976[/C][/ROW]
[ROW][C]57[/C][C]132540[/C][C]131781.793070935[/C][C]114446.833333333[/C][C]1.15146736028172[/C][C]1.00575350290352[/C][/ROW]
[ROW][C]58[/C][C]119920[/C][C]120112.151654624[/C][C]113632.416666667[/C][C]1.05702364851542[/C][C]0.998400231350641[/C][/ROW]
[ROW][C]59[/C][C]112454[/C][C]112072.85041159[/C][C]112929.291666667[/C][C]0.992416128336264[/C][C]1.00340090920335[/C][/ROW]
[ROW][C]60[/C][C]109415[/C][C]110623.460063384[/C][C]112207[/C][C]0.985887333797215[/C][C]0.989075915156769[/C][/ROW]
[ROW][C]61[/C][C]109843[/C][C]110752.14398926[/C][C]111367.041666667[/C][C]0.994478638668996[/C][C]0.991791183840665[/C][/ROW]
[ROW][C]62[/C][C]106365[/C][C]107413.060640586[/C][C]110563.666666667[/C][C]0.971504146696046[/C][C]0.990242707596863[/C][/ROW]
[ROW][C]63[/C][C]102304[/C][C]102366.349042414[/C][C]109842.25[/C][C]0.931939659306085[/C][C]0.999390922476018[/C][/ROW]
[ROW][C]64[/C][C]97968[/C][C]99162.6791490683[/C][C]109247.625[/C][C]0.907687276030653[/C][C]0.987952330863586[/C][/ROW]
[ROW][C]65[/C][C]92462[/C][C]91835.8638736979[/C][C]108822.25[/C][C]0.843907049097937[/C][C]1.00681799135862[/C][/ROW]
[ROW][C]66[/C][C]92286[/C][C]93308.9521018313[/C][C]108486.791666667[/C][C]0.860095046303237[/C][C]0.989036935055118[/C][/ROW]
[ROW][C]67[/C][C]120092[/C][C]NA[/C][C]NA[/C][C]1.12523860498947[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]126656[/C][C]NA[/C][C]NA[/C][C]1.17835510797697[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]124144[/C][C]NA[/C][C]NA[/C][C]1.15146736028172[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]114045[/C][C]NA[/C][C]NA[/C][C]1.05702364851542[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]108120[/C][C]NA[/C][C]NA[/C][C]0.992416128336264[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]105698[/C][C]NA[/C][C]NA[/C][C]0.985887333797215[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166235&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166235&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
1125326NANA0.994478638668996NA
2122716NANA0.971504146696046NA
3116615NANA0.931939659306085NA
4113719NANA0.907687276030653NA
5110737NANA0.843907049097937NA
6112093NANA0.860095046303237NA
7143565141791.3166147231260101.125238604989471.01250911147187
8149946147492.548547779125168.1666666671.178355107976971.01663440951003
9149147143001.97889636124191.0833333331.151467360281721.04297158089045
10134339130219.279653772123194.2916666671.057023648515421.03163679262534
11122683121097.551877304122022.9583333330.9924161283362641.01309232183573
12115614118853.40105409120554.750.9858873337972150.972744565781373
13116566118294.725787635118951.50.9944786386689960.985386281796379
14111272113982.857432618117326.1666666670.9715041466960460.976216972502022
15104609107602.335525768115460.6250.9319396593060850.972181500418727
16101802103116.527103155113603.5833333330.9076872760306530.987252023122931
179454294586.7195514075112081.9166666670.8439070490979370.999527211096657
189305195403.1401904053110921.6250.8600950463032370.975345253985236
19124129123759.3679697661099851.125238604989471.00298669940141
20130374128532.274781005109077.7083333331.178355107976971.01432889305144
21123946124637.225967227108242.0833333331.151467360281720.994454096985367
22114971113594.455752574107466.3333333331.057023648515421.01211805838856
23105531105862.971891214106671.9583333330.9924161283362640.996864135917561
24104919104506.152393089106002.1250.9858873337972151.00395046222119
25104782104843.9049603181054260.9944786386689960.999409551176666
26101281101680.659943667104663.1250.9715041466960460.996069459581713
279454596880.1755913554103955.4166666670.9319396593060850.975896249391565
289324893863.6386519045103409.6666666670.9076872760306530.993441138008855
298403187015.9590883625103110.8333333330.8439070490979370.965696417994642
308748688714.7544120026103145.2916666670.8600950463032370.986149379320873
31115867116362.846424577103411.7083333331.125238604989470.995738790861404
32120327122462.17483478103926.3751.178355107976970.982564617706159
33117008120701.510529784104824.0833333331.151467360281720.969399632916169
34108811111992.184072033105950.51.057023648515420.971594588511761
35104519106323.4943254341071360.9924161283362640.983028263537777
36106758106904.569804384108434.8750.9858873337972150.998628965958588
37109337109113.077446294109718.8750.9944786386689961.00205220638027
38109078107884.847341825111049.2916666670.9715041466960461.01105950175185
39108293104843.2116719351125000.9319396593060851.032904260305
40106534103348.138639755113858.750.9076872760306531.03082649965618
419919797094.389347802115053.4166666670.8439070490979371.02165532598044
4210349399968.3813470085116229.4583333330.8600950463032371.03525733442414
43130676131988.847392299117298.5416666671.125238604989470.990053346034634
44137448139218.62996086118146.5833333331.178355107976970.987281659348628
45134704136684.021423915118704.2083333331.151467360281720.985513877896717
46123725125692.972262873118912.1666666671.057023648515420.984343020715927
47118277118075.43801316118977.750.9924161283362641.00170706109782
48121225117273.721994874118952.4583333330.9858873337972151.03369278247431
49120528118228.054282234118884.4583333330.9944786386689961.01945346839825
50118240115411.940032408118797.1666666670.9715041466960461.02450405015978
51112514110554.992182183118628.9166666670.9319396593060851.01771975900092
52107304107452.208838025118380.2083333330.9076872760306530.998620699940678
5310000199563.3449083192117979.0416666670.8439070490979371.00439574516187
54102082100841.270307126117244.3333333330.8600950463032371.01230378880686
55130455130873.173315452116307.0416666671.125238604989470.996804743822909
56135574135943.342840108115367.0416666671.178355107976970.997283111975976
57132540131781.793070935114446.8333333331.151467360281721.00575350290352
58119920120112.151654624113632.4166666671.057023648515420.998400231350641
59112454112072.85041159112929.2916666670.9924161283362641.00340090920335
60109415110623.4600633841122070.9858873337972150.989075915156769
61109843110752.14398926111367.0416666670.9944786386689960.991791183840665
62106365107413.060640586110563.6666666670.9715041466960460.990242707596863
63102304102366.349042414109842.250.9319396593060850.999390922476018
649796899162.6791490683109247.6250.9076872760306530.987952330863586
659246291835.8638736979108822.250.8439070490979371.00681799135862
669228693308.9521018313108486.7916666670.8600950463032370.989036935055118
67120092NANA1.12523860498947NA
68126656NANA1.17835510797697NA
69124144NANA1.15146736028172NA
70114045NANA1.05702364851542NA
71108120NANA0.992416128336264NA
72105698NANA0.985887333797215NA



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')