Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 02 May 2012 09:59:44 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/02/t1335967234qa4tl9fi7cymkbz.htm/, Retrieved Tue, 07 May 2024 12:29:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165933, Retrieved Tue, 07 May 2024 12:29:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Opgave 9 oefening 2] [2012-05-02 13:59:44] [0557341c9fb01f967ad344d41189c66a] [Current]
Feedback Forum

Post a new message
Dataseries X:
12693.7
13154
15405.1
13869.4
12827.7
15716.7
13012.5
12837.6
15052.7
15002.6
14839.6
15022.6
14097.8
14776.8
16833.3
15385.5
15172.6
16858.9
14143.5
14731.8
16471.6
15214
17637.4
17972.4
16896.2
16698
19691.6
15930.7
17444.6
17699.4
15189.8
15672.7
17180.8
17664.9
17862.9
16162.3
17463.6
16772.1
19106.9
16721.3
18161.3
18509.9
17802.7
16409.9
17967.7
20286.6
19537.3
18021.9
20194.3
19049.6
20244.7
21473.3
19673.6
21053.2
20159.5
18203.6
21289.5
20432.3
17180.4
15816.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165933&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165933&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165933&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'AstonUniversity' @ aston.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
112693.7NANA1.00000725993766NA
213154NANA0.976278527765074NA
315405.1NANA1.0960158329779NA
413869.4NANA0.99126867078156NA
512827.7NANA1.00270182906185NA
615716.7NANA1.0532843131307NA
713012.513039.683761469214178.02083333330.9197111440838180.997915305158739
812837.612960.478906353814304.14166666670.9060647753899110.990518953254608
915052.714547.923307885814431.26666666671.008083603741351.03469750846436
1015002.614821.573595271714553.94583333331.018388673766081.01221371020862
1114839.615247.063218061614714.82083333331.036170497130530.973275954048715
1215022.614741.605337625914860.11666666670.9920248722335671.01906133395506
1314097.814954.94190449114954.83333333331.000007259937660.942685039502988
1414776.814723.142578063515080.88333333330.9762785277650741.00364442724452
1516833.316680.187327635815218.92916666671.09601583297791.00917931371853
1615385.515153.383740509415286.85833333330.991268670781561.01531778403197
1715172.615453.8829091115412.24166666671.002701829061850.981798560868856
1816858.916485.716415935615651.7251.05328431313071.02263678293675
1914143.514615.344389902915891.23333333330.9197111440838180.967715821309768
2014731.814576.664398915816087.88333333330.9060647753899111.01064273669467
2116471.616418.687056573916287.02916666671.008083603741351.00322272683825
221521416730.946276429516428.84166666671.018388673766080.90933290613893
2317637.417144.710183883616546.2251.036170497130531.02873713296009
2417972.416542.919967190616675.91250.9920248722335671.08641038194251
2516896.216754.650803503916754.52916666671.000007259937661.00844835252947
261669816437.922930329316837.32916666670.9762785277650741.01582177205557
2719691.618529.335006977116906.08333333331.09601583297791.06272567216175
2815930.716888.991925894717037.75416666670.991268670781560.943259376871074
2917444.617195.605231660417149.27083333331.002701829061851.01448013983719
3017699.417993.514853605417083.24583333331.05328431313070.98365439682028
3115189.815664.029693425417031.46666666670.9197111440838180.96972492374523
3215672.715455.830376286317058.19583333330.9060647753899111.01403157374491
3317180.817174.640550322817036.92083333331.008083603741351.00035863630794
3417664.917358.944138679717045.51.018388673766081.01762525755461
3517862.917727.120033435317108.30416666671.036170497130531.00765944870394
3616162.317034.989104440317171.93750.9920248722335670.948770785875477
3717463.617314.70486943217314.57916666671.000007259937661.0085993455673
3816772.117040.128136699617454.16666666670.9762785277650740.984270767534763
3919106.919199.644590228517517.67083333331.09601583297790.99516946317456
4016721.317505.50321511517659.69583333330.991268670781560.955202475160047
4118161.317886.897118085717838.71.002701829061851.01534099962127
4218509.918944.318991753117985.951.05328431313070.977068640369588
4317802.716717.784904629718177.21250.9197111440838181.06489586398913
4416409.916658.805028031718385.88750.9060647753899110.985058650508674
4517967.718677.966226143818528.19166666671.008083603741350.96197304259231
4620286.619118.821605814818773.61.018388673766081.06108004030071
4719537.319723.103896811919034.61251.036170497130530.990579378490118
4818021.919050.444702987519203.59583333330.9920248722335670.946009412429819
4920194.319407.907565842719407.76666666671.000007259937661.04051917660311
5019049.619116.221036436819580.70416666670.9762785277650740.996514947368007
5120244.721694.372995589619793.851.09601583297790.933177465148023
5221473.319764.241050646919938.32916666670.991268670781561.08647227813978
5319673.619899.816862003119846.19583333331.002701829061850.988632213875544
5421053.220703.474953382319656.11251.05328431313071.01689209407624
5520159.5NANA0.919711144083818NA
5618203.6NANA0.906064775389911NA
5721289.5NANA1.00808360374135NA
5820432.3NANA1.01838867376608NA
5917180.4NANA1.03617049713053NA
6015816.8NANA0.992024872233567NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 12693.7 & NA & NA & 1.00000725993766 & NA \tabularnewline
2 & 13154 & NA & NA & 0.976278527765074 & NA \tabularnewline
3 & 15405.1 & NA & NA & 1.0960158329779 & NA \tabularnewline
4 & 13869.4 & NA & NA & 0.99126867078156 & NA \tabularnewline
5 & 12827.7 & NA & NA & 1.00270182906185 & NA \tabularnewline
6 & 15716.7 & NA & NA & 1.0532843131307 & NA \tabularnewline
7 & 13012.5 & 13039.6837614692 & 14178.0208333333 & 0.919711144083818 & 0.997915305158739 \tabularnewline
8 & 12837.6 & 12960.4789063538 & 14304.1416666667 & 0.906064775389911 & 0.990518953254608 \tabularnewline
9 & 15052.7 & 14547.9233078858 & 14431.2666666667 & 1.00808360374135 & 1.03469750846436 \tabularnewline
10 & 15002.6 & 14821.5735952717 & 14553.9458333333 & 1.01838867376608 & 1.01221371020862 \tabularnewline
11 & 14839.6 & 15247.0632180616 & 14714.8208333333 & 1.03617049713053 & 0.973275954048715 \tabularnewline
12 & 15022.6 & 14741.6053376259 & 14860.1166666667 & 0.992024872233567 & 1.01906133395506 \tabularnewline
13 & 14097.8 & 14954.941904491 & 14954.8333333333 & 1.00000725993766 & 0.942685039502988 \tabularnewline
14 & 14776.8 & 14723.1425780635 & 15080.8833333333 & 0.976278527765074 & 1.00364442724452 \tabularnewline
15 & 16833.3 & 16680.1873276358 & 15218.9291666667 & 1.0960158329779 & 1.00917931371853 \tabularnewline
16 & 15385.5 & 15153.3837405094 & 15286.8583333333 & 0.99126867078156 & 1.01531778403197 \tabularnewline
17 & 15172.6 & 15453.88290911 & 15412.2416666667 & 1.00270182906185 & 0.981798560868856 \tabularnewline
18 & 16858.9 & 16485.7164159356 & 15651.725 & 1.0532843131307 & 1.02263678293675 \tabularnewline
19 & 14143.5 & 14615.3443899029 & 15891.2333333333 & 0.919711144083818 & 0.967715821309768 \tabularnewline
20 & 14731.8 & 14576.6643989158 & 16087.8833333333 & 0.906064775389911 & 1.01064273669467 \tabularnewline
21 & 16471.6 & 16418.6870565739 & 16287.0291666667 & 1.00808360374135 & 1.00322272683825 \tabularnewline
22 & 15214 & 16730.9462764295 & 16428.8416666667 & 1.01838867376608 & 0.90933290613893 \tabularnewline
23 & 17637.4 & 17144.7101838836 & 16546.225 & 1.03617049713053 & 1.02873713296009 \tabularnewline
24 & 17972.4 & 16542.9199671906 & 16675.9125 & 0.992024872233567 & 1.08641038194251 \tabularnewline
25 & 16896.2 & 16754.6508035039 & 16754.5291666667 & 1.00000725993766 & 1.00844835252947 \tabularnewline
26 & 16698 & 16437.9229303293 & 16837.3291666667 & 0.976278527765074 & 1.01582177205557 \tabularnewline
27 & 19691.6 & 18529.3350069771 & 16906.0833333333 & 1.0960158329779 & 1.06272567216175 \tabularnewline
28 & 15930.7 & 16888.9919258947 & 17037.7541666667 & 0.99126867078156 & 0.943259376871074 \tabularnewline
29 & 17444.6 & 17195.6052316604 & 17149.2708333333 & 1.00270182906185 & 1.01448013983719 \tabularnewline
30 & 17699.4 & 17993.5148536054 & 17083.2458333333 & 1.0532843131307 & 0.98365439682028 \tabularnewline
31 & 15189.8 & 15664.0296934254 & 17031.4666666667 & 0.919711144083818 & 0.96972492374523 \tabularnewline
32 & 15672.7 & 15455.8303762863 & 17058.1958333333 & 0.906064775389911 & 1.01403157374491 \tabularnewline
33 & 17180.8 & 17174.6405503228 & 17036.9208333333 & 1.00808360374135 & 1.00035863630794 \tabularnewline
34 & 17664.9 & 17358.9441386797 & 17045.5 & 1.01838867376608 & 1.01762525755461 \tabularnewline
35 & 17862.9 & 17727.1200334353 & 17108.3041666667 & 1.03617049713053 & 1.00765944870394 \tabularnewline
36 & 16162.3 & 17034.9891044403 & 17171.9375 & 0.992024872233567 & 0.948770785875477 \tabularnewline
37 & 17463.6 & 17314.704869432 & 17314.5791666667 & 1.00000725993766 & 1.0085993455673 \tabularnewline
38 & 16772.1 & 17040.1281366996 & 17454.1666666667 & 0.976278527765074 & 0.984270767534763 \tabularnewline
39 & 19106.9 & 19199.6445902285 & 17517.6708333333 & 1.0960158329779 & 0.99516946317456 \tabularnewline
40 & 16721.3 & 17505.503215115 & 17659.6958333333 & 0.99126867078156 & 0.955202475160047 \tabularnewline
41 & 18161.3 & 17886.8971180857 & 17838.7 & 1.00270182906185 & 1.01534099962127 \tabularnewline
42 & 18509.9 & 18944.3189917531 & 17985.95 & 1.0532843131307 & 0.977068640369588 \tabularnewline
43 & 17802.7 & 16717.7849046297 & 18177.2125 & 0.919711144083818 & 1.06489586398913 \tabularnewline
44 & 16409.9 & 16658.8050280317 & 18385.8875 & 0.906064775389911 & 0.985058650508674 \tabularnewline
45 & 17967.7 & 18677.9662261438 & 18528.1916666667 & 1.00808360374135 & 0.96197304259231 \tabularnewline
46 & 20286.6 & 19118.8216058148 & 18773.6 & 1.01838867376608 & 1.06108004030071 \tabularnewline
47 & 19537.3 & 19723.1038968119 & 19034.6125 & 1.03617049713053 & 0.990579378490118 \tabularnewline
48 & 18021.9 & 19050.4447029875 & 19203.5958333333 & 0.992024872233567 & 0.946009412429819 \tabularnewline
49 & 20194.3 & 19407.9075658427 & 19407.7666666667 & 1.00000725993766 & 1.04051917660311 \tabularnewline
50 & 19049.6 & 19116.2210364368 & 19580.7041666667 & 0.976278527765074 & 0.996514947368007 \tabularnewline
51 & 20244.7 & 21694.3729955896 & 19793.85 & 1.0960158329779 & 0.933177465148023 \tabularnewline
52 & 21473.3 & 19764.2410506469 & 19938.3291666667 & 0.99126867078156 & 1.08647227813978 \tabularnewline
53 & 19673.6 & 19899.8168620031 & 19846.1958333333 & 1.00270182906185 & 0.988632213875544 \tabularnewline
54 & 21053.2 & 20703.4749533823 & 19656.1125 & 1.0532843131307 & 1.01689209407624 \tabularnewline
55 & 20159.5 & NA & NA & 0.919711144083818 & NA \tabularnewline
56 & 18203.6 & NA & NA & 0.906064775389911 & NA \tabularnewline
57 & 21289.5 & NA & NA & 1.00808360374135 & NA \tabularnewline
58 & 20432.3 & NA & NA & 1.01838867376608 & NA \tabularnewline
59 & 17180.4 & NA & NA & 1.03617049713053 & NA \tabularnewline
60 & 15816.8 & NA & NA & 0.992024872233567 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165933&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]12693.7[/C][C]NA[/C][C]NA[/C][C]1.00000725993766[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]13154[/C][C]NA[/C][C]NA[/C][C]0.976278527765074[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15405.1[/C][C]NA[/C][C]NA[/C][C]1.0960158329779[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]13869.4[/C][C]NA[/C][C]NA[/C][C]0.99126867078156[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]12827.7[/C][C]NA[/C][C]NA[/C][C]1.00270182906185[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15716.7[/C][C]NA[/C][C]NA[/C][C]1.0532843131307[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]13012.5[/C][C]13039.6837614692[/C][C]14178.0208333333[/C][C]0.919711144083818[/C][C]0.997915305158739[/C][/ROW]
[ROW][C]8[/C][C]12837.6[/C][C]12960.4789063538[/C][C]14304.1416666667[/C][C]0.906064775389911[/C][C]0.990518953254608[/C][/ROW]
[ROW][C]9[/C][C]15052.7[/C][C]14547.9233078858[/C][C]14431.2666666667[/C][C]1.00808360374135[/C][C]1.03469750846436[/C][/ROW]
[ROW][C]10[/C][C]15002.6[/C][C]14821.5735952717[/C][C]14553.9458333333[/C][C]1.01838867376608[/C][C]1.01221371020862[/C][/ROW]
[ROW][C]11[/C][C]14839.6[/C][C]15247.0632180616[/C][C]14714.8208333333[/C][C]1.03617049713053[/C][C]0.973275954048715[/C][/ROW]
[ROW][C]12[/C][C]15022.6[/C][C]14741.6053376259[/C][C]14860.1166666667[/C][C]0.992024872233567[/C][C]1.01906133395506[/C][/ROW]
[ROW][C]13[/C][C]14097.8[/C][C]14954.941904491[/C][C]14954.8333333333[/C][C]1.00000725993766[/C][C]0.942685039502988[/C][/ROW]
[ROW][C]14[/C][C]14776.8[/C][C]14723.1425780635[/C][C]15080.8833333333[/C][C]0.976278527765074[/C][C]1.00364442724452[/C][/ROW]
[ROW][C]15[/C][C]16833.3[/C][C]16680.1873276358[/C][C]15218.9291666667[/C][C]1.0960158329779[/C][C]1.00917931371853[/C][/ROW]
[ROW][C]16[/C][C]15385.5[/C][C]15153.3837405094[/C][C]15286.8583333333[/C][C]0.99126867078156[/C][C]1.01531778403197[/C][/ROW]
[ROW][C]17[/C][C]15172.6[/C][C]15453.88290911[/C][C]15412.2416666667[/C][C]1.00270182906185[/C][C]0.981798560868856[/C][/ROW]
[ROW][C]18[/C][C]16858.9[/C][C]16485.7164159356[/C][C]15651.725[/C][C]1.0532843131307[/C][C]1.02263678293675[/C][/ROW]
[ROW][C]19[/C][C]14143.5[/C][C]14615.3443899029[/C][C]15891.2333333333[/C][C]0.919711144083818[/C][C]0.967715821309768[/C][/ROW]
[ROW][C]20[/C][C]14731.8[/C][C]14576.6643989158[/C][C]16087.8833333333[/C][C]0.906064775389911[/C][C]1.01064273669467[/C][/ROW]
[ROW][C]21[/C][C]16471.6[/C][C]16418.6870565739[/C][C]16287.0291666667[/C][C]1.00808360374135[/C][C]1.00322272683825[/C][/ROW]
[ROW][C]22[/C][C]15214[/C][C]16730.9462764295[/C][C]16428.8416666667[/C][C]1.01838867376608[/C][C]0.90933290613893[/C][/ROW]
[ROW][C]23[/C][C]17637.4[/C][C]17144.7101838836[/C][C]16546.225[/C][C]1.03617049713053[/C][C]1.02873713296009[/C][/ROW]
[ROW][C]24[/C][C]17972.4[/C][C]16542.9199671906[/C][C]16675.9125[/C][C]0.992024872233567[/C][C]1.08641038194251[/C][/ROW]
[ROW][C]25[/C][C]16896.2[/C][C]16754.6508035039[/C][C]16754.5291666667[/C][C]1.00000725993766[/C][C]1.00844835252947[/C][/ROW]
[ROW][C]26[/C][C]16698[/C][C]16437.9229303293[/C][C]16837.3291666667[/C][C]0.976278527765074[/C][C]1.01582177205557[/C][/ROW]
[ROW][C]27[/C][C]19691.6[/C][C]18529.3350069771[/C][C]16906.0833333333[/C][C]1.0960158329779[/C][C]1.06272567216175[/C][/ROW]
[ROW][C]28[/C][C]15930.7[/C][C]16888.9919258947[/C][C]17037.7541666667[/C][C]0.99126867078156[/C][C]0.943259376871074[/C][/ROW]
[ROW][C]29[/C][C]17444.6[/C][C]17195.6052316604[/C][C]17149.2708333333[/C][C]1.00270182906185[/C][C]1.01448013983719[/C][/ROW]
[ROW][C]30[/C][C]17699.4[/C][C]17993.5148536054[/C][C]17083.2458333333[/C][C]1.0532843131307[/C][C]0.98365439682028[/C][/ROW]
[ROW][C]31[/C][C]15189.8[/C][C]15664.0296934254[/C][C]17031.4666666667[/C][C]0.919711144083818[/C][C]0.96972492374523[/C][/ROW]
[ROW][C]32[/C][C]15672.7[/C][C]15455.8303762863[/C][C]17058.1958333333[/C][C]0.906064775389911[/C][C]1.01403157374491[/C][/ROW]
[ROW][C]33[/C][C]17180.8[/C][C]17174.6405503228[/C][C]17036.9208333333[/C][C]1.00808360374135[/C][C]1.00035863630794[/C][/ROW]
[ROW][C]34[/C][C]17664.9[/C][C]17358.9441386797[/C][C]17045.5[/C][C]1.01838867376608[/C][C]1.01762525755461[/C][/ROW]
[ROW][C]35[/C][C]17862.9[/C][C]17727.1200334353[/C][C]17108.3041666667[/C][C]1.03617049713053[/C][C]1.00765944870394[/C][/ROW]
[ROW][C]36[/C][C]16162.3[/C][C]17034.9891044403[/C][C]17171.9375[/C][C]0.992024872233567[/C][C]0.948770785875477[/C][/ROW]
[ROW][C]37[/C][C]17463.6[/C][C]17314.704869432[/C][C]17314.5791666667[/C][C]1.00000725993766[/C][C]1.0085993455673[/C][/ROW]
[ROW][C]38[/C][C]16772.1[/C][C]17040.1281366996[/C][C]17454.1666666667[/C][C]0.976278527765074[/C][C]0.984270767534763[/C][/ROW]
[ROW][C]39[/C][C]19106.9[/C][C]19199.6445902285[/C][C]17517.6708333333[/C][C]1.0960158329779[/C][C]0.99516946317456[/C][/ROW]
[ROW][C]40[/C][C]16721.3[/C][C]17505.503215115[/C][C]17659.6958333333[/C][C]0.99126867078156[/C][C]0.955202475160047[/C][/ROW]
[ROW][C]41[/C][C]18161.3[/C][C]17886.8971180857[/C][C]17838.7[/C][C]1.00270182906185[/C][C]1.01534099962127[/C][/ROW]
[ROW][C]42[/C][C]18509.9[/C][C]18944.3189917531[/C][C]17985.95[/C][C]1.0532843131307[/C][C]0.977068640369588[/C][/ROW]
[ROW][C]43[/C][C]17802.7[/C][C]16717.7849046297[/C][C]18177.2125[/C][C]0.919711144083818[/C][C]1.06489586398913[/C][/ROW]
[ROW][C]44[/C][C]16409.9[/C][C]16658.8050280317[/C][C]18385.8875[/C][C]0.906064775389911[/C][C]0.985058650508674[/C][/ROW]
[ROW][C]45[/C][C]17967.7[/C][C]18677.9662261438[/C][C]18528.1916666667[/C][C]1.00808360374135[/C][C]0.96197304259231[/C][/ROW]
[ROW][C]46[/C][C]20286.6[/C][C]19118.8216058148[/C][C]18773.6[/C][C]1.01838867376608[/C][C]1.06108004030071[/C][/ROW]
[ROW][C]47[/C][C]19537.3[/C][C]19723.1038968119[/C][C]19034.6125[/C][C]1.03617049713053[/C][C]0.990579378490118[/C][/ROW]
[ROW][C]48[/C][C]18021.9[/C][C]19050.4447029875[/C][C]19203.5958333333[/C][C]0.992024872233567[/C][C]0.946009412429819[/C][/ROW]
[ROW][C]49[/C][C]20194.3[/C][C]19407.9075658427[/C][C]19407.7666666667[/C][C]1.00000725993766[/C][C]1.04051917660311[/C][/ROW]
[ROW][C]50[/C][C]19049.6[/C][C]19116.2210364368[/C][C]19580.7041666667[/C][C]0.976278527765074[/C][C]0.996514947368007[/C][/ROW]
[ROW][C]51[/C][C]20244.7[/C][C]21694.3729955896[/C][C]19793.85[/C][C]1.0960158329779[/C][C]0.933177465148023[/C][/ROW]
[ROW][C]52[/C][C]21473.3[/C][C]19764.2410506469[/C][C]19938.3291666667[/C][C]0.99126867078156[/C][C]1.08647227813978[/C][/ROW]
[ROW][C]53[/C][C]19673.6[/C][C]19899.8168620031[/C][C]19846.1958333333[/C][C]1.00270182906185[/C][C]0.988632213875544[/C][/ROW]
[ROW][C]54[/C][C]21053.2[/C][C]20703.4749533823[/C][C]19656.1125[/C][C]1.0532843131307[/C][C]1.01689209407624[/C][/ROW]
[ROW][C]55[/C][C]20159.5[/C][C]NA[/C][C]NA[/C][C]0.919711144083818[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]18203.6[/C][C]NA[/C][C]NA[/C][C]0.906064775389911[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]21289.5[/C][C]NA[/C][C]NA[/C][C]1.00808360374135[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]20432.3[/C][C]NA[/C][C]NA[/C][C]1.01838867376608[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]17180.4[/C][C]NA[/C][C]NA[/C][C]1.03617049713053[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]15816.8[/C][C]NA[/C][C]NA[/C][C]0.992024872233567[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165933&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165933&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
112693.7NANA1.00000725993766NA
213154NANA0.976278527765074NA
315405.1NANA1.0960158329779NA
413869.4NANA0.99126867078156NA
512827.7NANA1.00270182906185NA
615716.7NANA1.0532843131307NA
713012.513039.683761469214178.02083333330.9197111440838180.997915305158739
812837.612960.478906353814304.14166666670.9060647753899110.990518953254608
915052.714547.923307885814431.26666666671.008083603741351.03469750846436
1015002.614821.573595271714553.94583333331.018388673766081.01221371020862
1114839.615247.063218061614714.82083333331.036170497130530.973275954048715
1215022.614741.605337625914860.11666666670.9920248722335671.01906133395506
1314097.814954.94190449114954.83333333331.000007259937660.942685039502988
1414776.814723.142578063515080.88333333330.9762785277650741.00364442724452
1516833.316680.187327635815218.92916666671.09601583297791.00917931371853
1615385.515153.383740509415286.85833333330.991268670781561.01531778403197
1715172.615453.8829091115412.24166666671.002701829061850.981798560868856
1816858.916485.716415935615651.7251.05328431313071.02263678293675
1914143.514615.344389902915891.23333333330.9197111440838180.967715821309768
2014731.814576.664398915816087.88333333330.9060647753899111.01064273669467
2116471.616418.687056573916287.02916666671.008083603741351.00322272683825
221521416730.946276429516428.84166666671.018388673766080.90933290613893
2317637.417144.710183883616546.2251.036170497130531.02873713296009
2417972.416542.919967190616675.91250.9920248722335671.08641038194251
2516896.216754.650803503916754.52916666671.000007259937661.00844835252947
261669816437.922930329316837.32916666670.9762785277650741.01582177205557
2719691.618529.335006977116906.08333333331.09601583297791.06272567216175
2815930.716888.991925894717037.75416666670.991268670781560.943259376871074
2917444.617195.605231660417149.27083333331.002701829061851.01448013983719
3017699.417993.514853605417083.24583333331.05328431313070.98365439682028
3115189.815664.029693425417031.46666666670.9197111440838180.96972492374523
3215672.715455.830376286317058.19583333330.9060647753899111.01403157374491
3317180.817174.640550322817036.92083333331.008083603741351.00035863630794
3417664.917358.944138679717045.51.018388673766081.01762525755461
3517862.917727.120033435317108.30416666671.036170497130531.00765944870394
3616162.317034.989104440317171.93750.9920248722335670.948770785875477
3717463.617314.70486943217314.57916666671.000007259937661.0085993455673
3816772.117040.128136699617454.16666666670.9762785277650740.984270767534763
3919106.919199.644590228517517.67083333331.09601583297790.99516946317456
4016721.317505.50321511517659.69583333330.991268670781560.955202475160047
4118161.317886.897118085717838.71.002701829061851.01534099962127
4218509.918944.318991753117985.951.05328431313070.977068640369588
4317802.716717.784904629718177.21250.9197111440838181.06489586398913
4416409.916658.805028031718385.88750.9060647753899110.985058650508674
4517967.718677.966226143818528.19166666671.008083603741350.96197304259231
4620286.619118.821605814818773.61.018388673766081.06108004030071
4719537.319723.103896811919034.61251.036170497130530.990579378490118
4818021.919050.444702987519203.59583333330.9920248722335670.946009412429819
4920194.319407.907565842719407.76666666671.000007259937661.04051917660311
5019049.619116.221036436819580.70416666670.9762785277650740.996514947368007
5120244.721694.372995589619793.851.09601583297790.933177465148023
5221473.319764.241050646919938.32916666670.991268670781561.08647227813978
5319673.619899.816862003119846.19583333331.002701829061850.988632213875544
5421053.220703.474953382319656.11251.05328431313071.01689209407624
5520159.5NANA0.919711144083818NA
5618203.6NANA0.906064775389911NA
5721289.5NANA1.00808360374135NA
5820432.3NANA1.01838867376608NA
5917180.4NANA1.03617049713053NA
6015816.8NANA0.992024872233567NA



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')