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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 25 May 2013 15:08:16 -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/2013/May/25/t1369508949lw6ctsw4r9u58c2.htm/, Retrieved Fri, 03 May 2024 01:24:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210553, Retrieved Fri, 03 May 2024 01:24:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Deompos...] [2013-05-25 19:08:16] [3958f9c0a64aeec6b83979b094ee8a96] [Current]
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Dataseries X:
3169889
3051720
3695426
3905501
4296458
4246247
4921849
4821446
4425064
4379099
3472889
3359160
3200944
3153170
3741498
3918719
4403449
4400407
4847473
4716136
4297440
4272253
3271834
3168388
2911748
2720999
3199918
3672623
3892013
3850845
4532467
4484739
4014972
3983758
3158459
3100569
2935404
2855719
3465611
3006985
4095110
4104793
4730788
4642726
4246919
4308117
3508154
3236641
3257275
3045631
3657692
4125747
4472507
4513455
5150896
5057815
4681742
4603682
3580181
3534002
3422762
3295209
3868093
4189245
4544332
4612845
5221595
5137505
4760439
4643697
3692267
3587603




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210553&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210553&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210553&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 time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13169889NANA0.802169425607895NA
23051720NANA0.767542025500315NA
33695426NANA0.912345299814322NA
43905501NANA0.959261622663161NA
54296458NANA1.0869028009712NA
64246247NANA1.08922613706814NA
749218494945503.868361633980022.958333331.242581743908480.995216894174736
848214464853359.2894337939855441.217740737383350.993424494761131
944250644433321.263443353991690.751.110637456933090.99813745430284
1043790994408616.550928263994161.166666671.103765313157730.993304577391281
1134728893477722.415045743999169.8750.8696110752348930.99861017802202
1233591603361290.499384434010051.166666670.838216361757420.999366166243346
1332009443219407.11958384013375.50.8021694256078950.994265055987642
1431531703074687.837180254005888.583333330.7675420255003151.02552524580568
1537414983645898.777247939961830.9123452998143221.02622103042155
1639187193824013.402677863986413.416666670.9592616226631611.02476602128429
1744034494318899.805932433973584.208333331.08690280097121.01957655835207
1844004074310348.935490853957258.083333331.089226137068141.02089345105396
1948474734892366.672181763937259.416666671.242581743908480.990823731091738
2047161364757959.602716873907202.458333331.217740737383350.99120976086199
2142974404294423.554782483866629.51.110637456933091.00070240980636
2242722534231626.127315453833809.666666671.103765313157731.00960077082952
2332718343306475.087432393802245.833333330.8696110752348930.989523257693954
2431683883150048.590449313758037.583333330.838216361757421.00582194497135
2529117482985685.765637093722013.916666670.8021694256078950.975235918498839
2627209992839327.631148723699247.1250.7675420255003150.958325122521755
2731999183355456.464116683677836.083333330.9123452998143220.953646108724696
2836726233505186.05527663654045.958333330.9592616226631611.04776834726686
2938920133953393.05246393637301.3751.08690280097120.984474082984073
3038508453953620.341015563629751.6251.089226137068140.97400475206247
3145324674507976.598415633627911.51.242581743908481.0054326816144
3244847394425891.496297533634510.51.217740737383351.01329619213478
3340149724055153.235418423651194.3751.110637456933090.990091315152418
3439837584011668.1436311536345301.103765313157730.993042758615152
3531584593143867.925592223615257.458333330.8696110752348931.00464112194059
3631005693046330.5617513536343010.838216361757421.01780451502199
3729354042930441.660820793653145.541666670.8021694256078951.00169337586397
3828557192815337.785332533667991.708333330.7675420255003151.01434329297104
3934656113361298.097028233684238.958333330.9123452998143221.03103351739734
4030069853556384.166293723707418.3750.9592616226631610.845517486130787
4140951104060129.715351513735503.958333331.08690280097121.00861555839367
4241047934090854.801243393755744.251.089226137068141.00340716046739
4347307884690528.890320533774825.208333331.242581743908481.00858306400426
4446427264622725.891347443796149.51.217740737383351.004326475141
4542469194233823.149071433812065.8751.110637456933091.00309315020195
4643081174267912.044063743866684.333333331.103765313157731.00942028690403
4735081543416723.038900263929024.291666670.8696110752348931.02675983978179
4832366413320826.093480143961776.750.838216361757420.974649351965338
4932572753205716.761386763996308.833333330.8021694256078951.01608321709337
5030456313094045.343006134031108.708333330.7675420255003150.984352413219941
5136576923710071.967190824066521.708333330.9123452998143220.985881684330106
5241257473930051.261616374096954.541666670.9592616226631611.04979470377268
5344725074469638.732389794112270.8751.08690280097121.00064172247064
5445134554495957.380767394127662.041666671.089226137068141.00389185611667
5551508965152921.10112424146947.3751.242581743908480.999606999392295
5650578155070966.819287534164241.751.217740737383350.997406447378533
5746817424646249.113391394183407.541666671.110637456933091.00763904081387
5846036824630096.8109402941948201.103765313157730.994294976537451
5935801813652765.196430754200458.458333330.8696110752348930.980128972839077
6035340023526872.807256444207592.416666670.838216361757421.00202139207541
6134227623380887.000212654214679.458333330.8021694256078951.01238580283361
6232952093239753.186520114220945.666666670.7675420255003151.01711729575902
6338680933856980.92454674227545.1250.9123452998143221.00288102940374
6441892454060066.62422884232491.458333330.9592616226631611.03181681182282
6545443324607195.1129379542388291.08690280097120.986355448076983
6646128454624562.946152944245732.6251.089226137068140.997466150576957
675221595NANA1.24258174390848NA
685137505NANA1.21774073738335NA
694760439NANA1.11063745693309NA
704643697NANA1.10376531315773NA
713692267NANA0.869611075234893NA
723587603NANA0.83821636175742NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3169889 & NA & NA & 0.802169425607895 & NA \tabularnewline
2 & 3051720 & NA & NA & 0.767542025500315 & NA \tabularnewline
3 & 3695426 & NA & NA & 0.912345299814322 & NA \tabularnewline
4 & 3905501 & NA & NA & 0.959261622663161 & NA \tabularnewline
5 & 4296458 & NA & NA & 1.0869028009712 & NA \tabularnewline
6 & 4246247 & NA & NA & 1.08922613706814 & NA \tabularnewline
7 & 4921849 & 4945503.86836163 & 3980022.95833333 & 1.24258174390848 & 0.995216894174736 \tabularnewline
8 & 4821446 & 4853359.28943379 & 3985544 & 1.21774073738335 & 0.993424494761131 \tabularnewline
9 & 4425064 & 4433321.26344335 & 3991690.75 & 1.11063745693309 & 0.99813745430284 \tabularnewline
10 & 4379099 & 4408616.55092826 & 3994161.16666667 & 1.10376531315773 & 0.993304577391281 \tabularnewline
11 & 3472889 & 3477722.41504574 & 3999169.875 & 0.869611075234893 & 0.99861017802202 \tabularnewline
12 & 3359160 & 3361290.49938443 & 4010051.16666667 & 0.83821636175742 & 0.999366166243346 \tabularnewline
13 & 3200944 & 3219407.1195838 & 4013375.5 & 0.802169425607895 & 0.994265055987642 \tabularnewline
14 & 3153170 & 3074687.83718025 & 4005888.58333333 & 0.767542025500315 & 1.02552524580568 \tabularnewline
15 & 3741498 & 3645898.7772479 & 3996183 & 0.912345299814322 & 1.02622103042155 \tabularnewline
16 & 3918719 & 3824013.40267786 & 3986413.41666667 & 0.959261622663161 & 1.02476602128429 \tabularnewline
17 & 4403449 & 4318899.80593243 & 3973584.20833333 & 1.0869028009712 & 1.01957655835207 \tabularnewline
18 & 4400407 & 4310348.93549085 & 3957258.08333333 & 1.08922613706814 & 1.02089345105396 \tabularnewline
19 & 4847473 & 4892366.67218176 & 3937259.41666667 & 1.24258174390848 & 0.990823731091738 \tabularnewline
20 & 4716136 & 4757959.60271687 & 3907202.45833333 & 1.21774073738335 & 0.99120976086199 \tabularnewline
21 & 4297440 & 4294423.55478248 & 3866629.5 & 1.11063745693309 & 1.00070240980636 \tabularnewline
22 & 4272253 & 4231626.12731545 & 3833809.66666667 & 1.10376531315773 & 1.00960077082952 \tabularnewline
23 & 3271834 & 3306475.08743239 & 3802245.83333333 & 0.869611075234893 & 0.989523257693954 \tabularnewline
24 & 3168388 & 3150048.59044931 & 3758037.58333333 & 0.83821636175742 & 1.00582194497135 \tabularnewline
25 & 2911748 & 2985685.76563709 & 3722013.91666667 & 0.802169425607895 & 0.975235918498839 \tabularnewline
26 & 2720999 & 2839327.63114872 & 3699247.125 & 0.767542025500315 & 0.958325122521755 \tabularnewline
27 & 3199918 & 3355456.46411668 & 3677836.08333333 & 0.912345299814322 & 0.953646108724696 \tabularnewline
28 & 3672623 & 3505186.0552766 & 3654045.95833333 & 0.959261622663161 & 1.04776834726686 \tabularnewline
29 & 3892013 & 3953393.0524639 & 3637301.375 & 1.0869028009712 & 0.984474082984073 \tabularnewline
30 & 3850845 & 3953620.34101556 & 3629751.625 & 1.08922613706814 & 0.97400475206247 \tabularnewline
31 & 4532467 & 4507976.59841563 & 3627911.5 & 1.24258174390848 & 1.0054326816144 \tabularnewline
32 & 4484739 & 4425891.49629753 & 3634510.5 & 1.21774073738335 & 1.01329619213478 \tabularnewline
33 & 4014972 & 4055153.23541842 & 3651194.375 & 1.11063745693309 & 0.990091315152418 \tabularnewline
34 & 3983758 & 4011668.14363115 & 3634530 & 1.10376531315773 & 0.993042758615152 \tabularnewline
35 & 3158459 & 3143867.92559222 & 3615257.45833333 & 0.869611075234893 & 1.00464112194059 \tabularnewline
36 & 3100569 & 3046330.56175135 & 3634301 & 0.83821636175742 & 1.01780451502199 \tabularnewline
37 & 2935404 & 2930441.66082079 & 3653145.54166667 & 0.802169425607895 & 1.00169337586397 \tabularnewline
38 & 2855719 & 2815337.78533253 & 3667991.70833333 & 0.767542025500315 & 1.01434329297104 \tabularnewline
39 & 3465611 & 3361298.09702823 & 3684238.95833333 & 0.912345299814322 & 1.03103351739734 \tabularnewline
40 & 3006985 & 3556384.16629372 & 3707418.375 & 0.959261622663161 & 0.845517486130787 \tabularnewline
41 & 4095110 & 4060129.71535151 & 3735503.95833333 & 1.0869028009712 & 1.00861555839367 \tabularnewline
42 & 4104793 & 4090854.80124339 & 3755744.25 & 1.08922613706814 & 1.00340716046739 \tabularnewline
43 & 4730788 & 4690528.89032053 & 3774825.20833333 & 1.24258174390848 & 1.00858306400426 \tabularnewline
44 & 4642726 & 4622725.89134744 & 3796149.5 & 1.21774073738335 & 1.004326475141 \tabularnewline
45 & 4246919 & 4233823.14907143 & 3812065.875 & 1.11063745693309 & 1.00309315020195 \tabularnewline
46 & 4308117 & 4267912.04406374 & 3866684.33333333 & 1.10376531315773 & 1.00942028690403 \tabularnewline
47 & 3508154 & 3416723.03890026 & 3929024.29166667 & 0.869611075234893 & 1.02675983978179 \tabularnewline
48 & 3236641 & 3320826.09348014 & 3961776.75 & 0.83821636175742 & 0.974649351965338 \tabularnewline
49 & 3257275 & 3205716.76138676 & 3996308.83333333 & 0.802169425607895 & 1.01608321709337 \tabularnewline
50 & 3045631 & 3094045.34300613 & 4031108.70833333 & 0.767542025500315 & 0.984352413219941 \tabularnewline
51 & 3657692 & 3710071.96719082 & 4066521.70833333 & 0.912345299814322 & 0.985881684330106 \tabularnewline
52 & 4125747 & 3930051.26161637 & 4096954.54166667 & 0.959261622663161 & 1.04979470377268 \tabularnewline
53 & 4472507 & 4469638.73238979 & 4112270.875 & 1.0869028009712 & 1.00064172247064 \tabularnewline
54 & 4513455 & 4495957.38076739 & 4127662.04166667 & 1.08922613706814 & 1.00389185611667 \tabularnewline
55 & 5150896 & 5152921.1011242 & 4146947.375 & 1.24258174390848 & 0.999606999392295 \tabularnewline
56 & 5057815 & 5070966.81928753 & 4164241.75 & 1.21774073738335 & 0.997406447378533 \tabularnewline
57 & 4681742 & 4646249.11339139 & 4183407.54166667 & 1.11063745693309 & 1.00763904081387 \tabularnewline
58 & 4603682 & 4630096.81094029 & 4194820 & 1.10376531315773 & 0.994294976537451 \tabularnewline
59 & 3580181 & 3652765.19643075 & 4200458.45833333 & 0.869611075234893 & 0.980128972839077 \tabularnewline
60 & 3534002 & 3526872.80725644 & 4207592.41666667 & 0.83821636175742 & 1.00202139207541 \tabularnewline
61 & 3422762 & 3380887.00021265 & 4214679.45833333 & 0.802169425607895 & 1.01238580283361 \tabularnewline
62 & 3295209 & 3239753.18652011 & 4220945.66666667 & 0.767542025500315 & 1.01711729575902 \tabularnewline
63 & 3868093 & 3856980.9245467 & 4227545.125 & 0.912345299814322 & 1.00288102940374 \tabularnewline
64 & 4189245 & 4060066.6242288 & 4232491.45833333 & 0.959261622663161 & 1.03181681182282 \tabularnewline
65 & 4544332 & 4607195.11293795 & 4238829 & 1.0869028009712 & 0.986355448076983 \tabularnewline
66 & 4612845 & 4624562.94615294 & 4245732.625 & 1.08922613706814 & 0.997466150576957 \tabularnewline
67 & 5221595 & NA & NA & 1.24258174390848 & NA \tabularnewline
68 & 5137505 & NA & NA & 1.21774073738335 & NA \tabularnewline
69 & 4760439 & NA & NA & 1.11063745693309 & NA \tabularnewline
70 & 4643697 & NA & NA & 1.10376531315773 & NA \tabularnewline
71 & 3692267 & NA & NA & 0.869611075234893 & NA \tabularnewline
72 & 3587603 & NA & NA & 0.83821636175742 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210553&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]3169889[/C][C]NA[/C][C]NA[/C][C]0.802169425607895[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3051720[/C][C]NA[/C][C]NA[/C][C]0.767542025500315[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3695426[/C][C]NA[/C][C]NA[/C][C]0.912345299814322[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3905501[/C][C]NA[/C][C]NA[/C][C]0.959261622663161[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4296458[/C][C]NA[/C][C]NA[/C][C]1.0869028009712[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4246247[/C][C]NA[/C][C]NA[/C][C]1.08922613706814[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4921849[/C][C]4945503.86836163[/C][C]3980022.95833333[/C][C]1.24258174390848[/C][C]0.995216894174736[/C][/ROW]
[ROW][C]8[/C][C]4821446[/C][C]4853359.28943379[/C][C]3985544[/C][C]1.21774073738335[/C][C]0.993424494761131[/C][/ROW]
[ROW][C]9[/C][C]4425064[/C][C]4433321.26344335[/C][C]3991690.75[/C][C]1.11063745693309[/C][C]0.99813745430284[/C][/ROW]
[ROW][C]10[/C][C]4379099[/C][C]4408616.55092826[/C][C]3994161.16666667[/C][C]1.10376531315773[/C][C]0.993304577391281[/C][/ROW]
[ROW][C]11[/C][C]3472889[/C][C]3477722.41504574[/C][C]3999169.875[/C][C]0.869611075234893[/C][C]0.99861017802202[/C][/ROW]
[ROW][C]12[/C][C]3359160[/C][C]3361290.49938443[/C][C]4010051.16666667[/C][C]0.83821636175742[/C][C]0.999366166243346[/C][/ROW]
[ROW][C]13[/C][C]3200944[/C][C]3219407.1195838[/C][C]4013375.5[/C][C]0.802169425607895[/C][C]0.994265055987642[/C][/ROW]
[ROW][C]14[/C][C]3153170[/C][C]3074687.83718025[/C][C]4005888.58333333[/C][C]0.767542025500315[/C][C]1.02552524580568[/C][/ROW]
[ROW][C]15[/C][C]3741498[/C][C]3645898.7772479[/C][C]3996183[/C][C]0.912345299814322[/C][C]1.02622103042155[/C][/ROW]
[ROW][C]16[/C][C]3918719[/C][C]3824013.40267786[/C][C]3986413.41666667[/C][C]0.959261622663161[/C][C]1.02476602128429[/C][/ROW]
[ROW][C]17[/C][C]4403449[/C][C]4318899.80593243[/C][C]3973584.20833333[/C][C]1.0869028009712[/C][C]1.01957655835207[/C][/ROW]
[ROW][C]18[/C][C]4400407[/C][C]4310348.93549085[/C][C]3957258.08333333[/C][C]1.08922613706814[/C][C]1.02089345105396[/C][/ROW]
[ROW][C]19[/C][C]4847473[/C][C]4892366.67218176[/C][C]3937259.41666667[/C][C]1.24258174390848[/C][C]0.990823731091738[/C][/ROW]
[ROW][C]20[/C][C]4716136[/C][C]4757959.60271687[/C][C]3907202.45833333[/C][C]1.21774073738335[/C][C]0.99120976086199[/C][/ROW]
[ROW][C]21[/C][C]4297440[/C][C]4294423.55478248[/C][C]3866629.5[/C][C]1.11063745693309[/C][C]1.00070240980636[/C][/ROW]
[ROW][C]22[/C][C]4272253[/C][C]4231626.12731545[/C][C]3833809.66666667[/C][C]1.10376531315773[/C][C]1.00960077082952[/C][/ROW]
[ROW][C]23[/C][C]3271834[/C][C]3306475.08743239[/C][C]3802245.83333333[/C][C]0.869611075234893[/C][C]0.989523257693954[/C][/ROW]
[ROW][C]24[/C][C]3168388[/C][C]3150048.59044931[/C][C]3758037.58333333[/C][C]0.83821636175742[/C][C]1.00582194497135[/C][/ROW]
[ROW][C]25[/C][C]2911748[/C][C]2985685.76563709[/C][C]3722013.91666667[/C][C]0.802169425607895[/C][C]0.975235918498839[/C][/ROW]
[ROW][C]26[/C][C]2720999[/C][C]2839327.63114872[/C][C]3699247.125[/C][C]0.767542025500315[/C][C]0.958325122521755[/C][/ROW]
[ROW][C]27[/C][C]3199918[/C][C]3355456.46411668[/C][C]3677836.08333333[/C][C]0.912345299814322[/C][C]0.953646108724696[/C][/ROW]
[ROW][C]28[/C][C]3672623[/C][C]3505186.0552766[/C][C]3654045.95833333[/C][C]0.959261622663161[/C][C]1.04776834726686[/C][/ROW]
[ROW][C]29[/C][C]3892013[/C][C]3953393.0524639[/C][C]3637301.375[/C][C]1.0869028009712[/C][C]0.984474082984073[/C][/ROW]
[ROW][C]30[/C][C]3850845[/C][C]3953620.34101556[/C][C]3629751.625[/C][C]1.08922613706814[/C][C]0.97400475206247[/C][/ROW]
[ROW][C]31[/C][C]4532467[/C][C]4507976.59841563[/C][C]3627911.5[/C][C]1.24258174390848[/C][C]1.0054326816144[/C][/ROW]
[ROW][C]32[/C][C]4484739[/C][C]4425891.49629753[/C][C]3634510.5[/C][C]1.21774073738335[/C][C]1.01329619213478[/C][/ROW]
[ROW][C]33[/C][C]4014972[/C][C]4055153.23541842[/C][C]3651194.375[/C][C]1.11063745693309[/C][C]0.990091315152418[/C][/ROW]
[ROW][C]34[/C][C]3983758[/C][C]4011668.14363115[/C][C]3634530[/C][C]1.10376531315773[/C][C]0.993042758615152[/C][/ROW]
[ROW][C]35[/C][C]3158459[/C][C]3143867.92559222[/C][C]3615257.45833333[/C][C]0.869611075234893[/C][C]1.00464112194059[/C][/ROW]
[ROW][C]36[/C][C]3100569[/C][C]3046330.56175135[/C][C]3634301[/C][C]0.83821636175742[/C][C]1.01780451502199[/C][/ROW]
[ROW][C]37[/C][C]2935404[/C][C]2930441.66082079[/C][C]3653145.54166667[/C][C]0.802169425607895[/C][C]1.00169337586397[/C][/ROW]
[ROW][C]38[/C][C]2855719[/C][C]2815337.78533253[/C][C]3667991.70833333[/C][C]0.767542025500315[/C][C]1.01434329297104[/C][/ROW]
[ROW][C]39[/C][C]3465611[/C][C]3361298.09702823[/C][C]3684238.95833333[/C][C]0.912345299814322[/C][C]1.03103351739734[/C][/ROW]
[ROW][C]40[/C][C]3006985[/C][C]3556384.16629372[/C][C]3707418.375[/C][C]0.959261622663161[/C][C]0.845517486130787[/C][/ROW]
[ROW][C]41[/C][C]4095110[/C][C]4060129.71535151[/C][C]3735503.95833333[/C][C]1.0869028009712[/C][C]1.00861555839367[/C][/ROW]
[ROW][C]42[/C][C]4104793[/C][C]4090854.80124339[/C][C]3755744.25[/C][C]1.08922613706814[/C][C]1.00340716046739[/C][/ROW]
[ROW][C]43[/C][C]4730788[/C][C]4690528.89032053[/C][C]3774825.20833333[/C][C]1.24258174390848[/C][C]1.00858306400426[/C][/ROW]
[ROW][C]44[/C][C]4642726[/C][C]4622725.89134744[/C][C]3796149.5[/C][C]1.21774073738335[/C][C]1.004326475141[/C][/ROW]
[ROW][C]45[/C][C]4246919[/C][C]4233823.14907143[/C][C]3812065.875[/C][C]1.11063745693309[/C][C]1.00309315020195[/C][/ROW]
[ROW][C]46[/C][C]4308117[/C][C]4267912.04406374[/C][C]3866684.33333333[/C][C]1.10376531315773[/C][C]1.00942028690403[/C][/ROW]
[ROW][C]47[/C][C]3508154[/C][C]3416723.03890026[/C][C]3929024.29166667[/C][C]0.869611075234893[/C][C]1.02675983978179[/C][/ROW]
[ROW][C]48[/C][C]3236641[/C][C]3320826.09348014[/C][C]3961776.75[/C][C]0.83821636175742[/C][C]0.974649351965338[/C][/ROW]
[ROW][C]49[/C][C]3257275[/C][C]3205716.76138676[/C][C]3996308.83333333[/C][C]0.802169425607895[/C][C]1.01608321709337[/C][/ROW]
[ROW][C]50[/C][C]3045631[/C][C]3094045.34300613[/C][C]4031108.70833333[/C][C]0.767542025500315[/C][C]0.984352413219941[/C][/ROW]
[ROW][C]51[/C][C]3657692[/C][C]3710071.96719082[/C][C]4066521.70833333[/C][C]0.912345299814322[/C][C]0.985881684330106[/C][/ROW]
[ROW][C]52[/C][C]4125747[/C][C]3930051.26161637[/C][C]4096954.54166667[/C][C]0.959261622663161[/C][C]1.04979470377268[/C][/ROW]
[ROW][C]53[/C][C]4472507[/C][C]4469638.73238979[/C][C]4112270.875[/C][C]1.0869028009712[/C][C]1.00064172247064[/C][/ROW]
[ROW][C]54[/C][C]4513455[/C][C]4495957.38076739[/C][C]4127662.04166667[/C][C]1.08922613706814[/C][C]1.00389185611667[/C][/ROW]
[ROW][C]55[/C][C]5150896[/C][C]5152921.1011242[/C][C]4146947.375[/C][C]1.24258174390848[/C][C]0.999606999392295[/C][/ROW]
[ROW][C]56[/C][C]5057815[/C][C]5070966.81928753[/C][C]4164241.75[/C][C]1.21774073738335[/C][C]0.997406447378533[/C][/ROW]
[ROW][C]57[/C][C]4681742[/C][C]4646249.11339139[/C][C]4183407.54166667[/C][C]1.11063745693309[/C][C]1.00763904081387[/C][/ROW]
[ROW][C]58[/C][C]4603682[/C][C]4630096.81094029[/C][C]4194820[/C][C]1.10376531315773[/C][C]0.994294976537451[/C][/ROW]
[ROW][C]59[/C][C]3580181[/C][C]3652765.19643075[/C][C]4200458.45833333[/C][C]0.869611075234893[/C][C]0.980128972839077[/C][/ROW]
[ROW][C]60[/C][C]3534002[/C][C]3526872.80725644[/C][C]4207592.41666667[/C][C]0.83821636175742[/C][C]1.00202139207541[/C][/ROW]
[ROW][C]61[/C][C]3422762[/C][C]3380887.00021265[/C][C]4214679.45833333[/C][C]0.802169425607895[/C][C]1.01238580283361[/C][/ROW]
[ROW][C]62[/C][C]3295209[/C][C]3239753.18652011[/C][C]4220945.66666667[/C][C]0.767542025500315[/C][C]1.01711729575902[/C][/ROW]
[ROW][C]63[/C][C]3868093[/C][C]3856980.9245467[/C][C]4227545.125[/C][C]0.912345299814322[/C][C]1.00288102940374[/C][/ROW]
[ROW][C]64[/C][C]4189245[/C][C]4060066.6242288[/C][C]4232491.45833333[/C][C]0.959261622663161[/C][C]1.03181681182282[/C][/ROW]
[ROW][C]65[/C][C]4544332[/C][C]4607195.11293795[/C][C]4238829[/C][C]1.0869028009712[/C][C]0.986355448076983[/C][/ROW]
[ROW][C]66[/C][C]4612845[/C][C]4624562.94615294[/C][C]4245732.625[/C][C]1.08922613706814[/C][C]0.997466150576957[/C][/ROW]
[ROW][C]67[/C][C]5221595[/C][C]NA[/C][C]NA[/C][C]1.24258174390848[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]5137505[/C][C]NA[/C][C]NA[/C][C]1.21774073738335[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]4760439[/C][C]NA[/C][C]NA[/C][C]1.11063745693309[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]4643697[/C][C]NA[/C][C]NA[/C][C]1.10376531315773[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]3692267[/C][C]NA[/C][C]NA[/C][C]0.869611075234893[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]3587603[/C][C]NA[/C][C]NA[/C][C]0.83821636175742[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210553&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210553&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
13169889NANA0.802169425607895NA
23051720NANA0.767542025500315NA
33695426NANA0.912345299814322NA
43905501NANA0.959261622663161NA
54296458NANA1.0869028009712NA
64246247NANA1.08922613706814NA
749218494945503.868361633980022.958333331.242581743908480.995216894174736
848214464853359.2894337939855441.217740737383350.993424494761131
944250644433321.263443353991690.751.110637456933090.99813745430284
1043790994408616.550928263994161.166666671.103765313157730.993304577391281
1134728893477722.415045743999169.8750.8696110752348930.99861017802202
1233591603361290.499384434010051.166666670.838216361757420.999366166243346
1332009443219407.11958384013375.50.8021694256078950.994265055987642
1431531703074687.837180254005888.583333330.7675420255003151.02552524580568
1537414983645898.777247939961830.9123452998143221.02622103042155
1639187193824013.402677863986413.416666670.9592616226631611.02476602128429
1744034494318899.805932433973584.208333331.08690280097121.01957655835207
1844004074310348.935490853957258.083333331.089226137068141.02089345105396
1948474734892366.672181763937259.416666671.242581743908480.990823731091738
2047161364757959.602716873907202.458333331.217740737383350.99120976086199
2142974404294423.554782483866629.51.110637456933091.00070240980636
2242722534231626.127315453833809.666666671.103765313157731.00960077082952
2332718343306475.087432393802245.833333330.8696110752348930.989523257693954
2431683883150048.590449313758037.583333330.838216361757421.00582194497135
2529117482985685.765637093722013.916666670.8021694256078950.975235918498839
2627209992839327.631148723699247.1250.7675420255003150.958325122521755
2731999183355456.464116683677836.083333330.9123452998143220.953646108724696
2836726233505186.05527663654045.958333330.9592616226631611.04776834726686
2938920133953393.05246393637301.3751.08690280097120.984474082984073
3038508453953620.341015563629751.6251.089226137068140.97400475206247
3145324674507976.598415633627911.51.242581743908481.0054326816144
3244847394425891.496297533634510.51.217740737383351.01329619213478
3340149724055153.235418423651194.3751.110637456933090.990091315152418
3439837584011668.1436311536345301.103765313157730.993042758615152
3531584593143867.925592223615257.458333330.8696110752348931.00464112194059
3631005693046330.5617513536343010.838216361757421.01780451502199
3729354042930441.660820793653145.541666670.8021694256078951.00169337586397
3828557192815337.785332533667991.708333330.7675420255003151.01434329297104
3934656113361298.097028233684238.958333330.9123452998143221.03103351739734
4030069853556384.166293723707418.3750.9592616226631610.845517486130787
4140951104060129.715351513735503.958333331.08690280097121.00861555839367
4241047934090854.801243393755744.251.089226137068141.00340716046739
4347307884690528.890320533774825.208333331.242581743908481.00858306400426
4446427264622725.891347443796149.51.217740737383351.004326475141
4542469194233823.149071433812065.8751.110637456933091.00309315020195
4643081174267912.044063743866684.333333331.103765313157731.00942028690403
4735081543416723.038900263929024.291666670.8696110752348931.02675983978179
4832366413320826.093480143961776.750.838216361757420.974649351965338
4932572753205716.761386763996308.833333330.8021694256078951.01608321709337
5030456313094045.343006134031108.708333330.7675420255003150.984352413219941
5136576923710071.967190824066521.708333330.9123452998143220.985881684330106
5241257473930051.261616374096954.541666670.9592616226631611.04979470377268
5344725074469638.732389794112270.8751.08690280097121.00064172247064
5445134554495957.380767394127662.041666671.089226137068141.00389185611667
5551508965152921.10112424146947.3751.242581743908480.999606999392295
5650578155070966.819287534164241.751.217740737383350.997406447378533
5746817424646249.113391394183407.541666671.110637456933091.00763904081387
5846036824630096.8109402941948201.103765313157730.994294976537451
5935801813652765.196430754200458.458333330.8696110752348930.980128972839077
6035340023526872.807256444207592.416666670.838216361757421.00202139207541
6134227623380887.000212654214679.458333330.8021694256078951.01238580283361
6232952093239753.186520114220945.666666670.7675420255003151.01711729575902
6338680933856980.92454674227545.1250.9123452998143221.00288102940374
6441892454060066.62422884232491.458333330.9592616226631611.03181681182282
6545443324607195.1129379542388291.08690280097120.986355448076983
6646128454624562.946152944245732.6251.089226137068140.997466150576957
675221595NANA1.24258174390848NA
685137505NANA1.21774073738335NA
694760439NANA1.11063745693309NA
704643697NANA1.10376531315773NA
713692267NANA0.869611075234893NA
723587603NANA0.83821636175742NA



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')