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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 29 May 2012 02:43:46 -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/29/t1338274132a1ufa2gruu77gi0.htm/, Retrieved Mon, 29 Apr 2024 21:33:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167920, Retrieved Mon, 29 Apr 2024 21:33:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2012-05-29 06:43:46] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
530.3
527.76
521.41
1601.93
1577.49
1551.43
1551.43
1516.88
1485.95
1438.22
1385.06
1329.49
1329.49
1276.16
1242.34
1181.59
1160.21
1135.18
1135.18
1084.96
1077.35
1061.13
1029.98
1013.08
1013.08
996.04
975.02
951.89
944.4
932.47
932.47
920.44
900.18
886.9
869.74
859.03
859.03
844.99
834.82
825.62
816.92
813.21
813.21
811.03
804.16
788.62
778.76
765.91
765.91
753.85
742.22
732.11
729.94
731.22
731.22
729.11
726.94
720.52
709.36
703.21




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167920&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167920&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167920&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'AstonUniversity' @ aston.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1530.3NANA0.999993182099021NA
2527.76NANA0.99309692060281NA
3521.41NANA0.989421062427339NA
41601.93NANA0.979711153213012NA
51577.49NANA0.983988183414875NA
61551.43NANA0.988246190608022NA
71551.431352.050458013251284.745416666671.052387843127091.14746457190638
81516.881386.833621049821349.228333333331.02787170028041.09377215620987
91485.951426.959007419731410.450416666671.011704481460661.04134035545067
101438.221421.5784940761422.9750.9990186012234941.01170635740013
111385.061374.446864086191388.074166666670.9901825832453871.00772175061192
121329.491332.201946968341353.343750.9843780982978930.99796431241186
131329.491318.647259532261318.656250.9999931820990211.00822262389684
141276.161274.457002244161283.315833333330.993096920602811.00133625359886
151242.341235.088540605181248.294166666670.9894210624273391.00587120611715
161181.591190.894831908751215.557083333330.9797111532130120.992186688816315
171160.211166.07519675581185.050.9839881834148750.994970138484966
181135.181143.471255074561157.071250.9882461906080220.992749048095641
191135.181189.938880678211130.703751.052387843127090.953981770351935
201084.961136.670206635581105.848333333331.02787170028040.95450729126733
211077.351095.714735427021083.038333333331.011704481460660.983239492147685
221061.131061.286598122251062.329166666670.9990186012234940.999852445020478
231029.981033.519161729351043.766250.9901825832453870.99657562059766
241013.081010.294722838371026.327916666670.9843780982978931.00275689568466
251013.081009.428534435951009.435416666670.9999931820990211.00361735916856
26996.04987.271579582707994.1341666666670.993096920602811.00888146746916
27975.02969.530813261117979.8970833333330.9894210624273391.00566169394908
28951.89945.671497407607965.2554166666670.9797111532130121.00657575342964
29944.4936.086818656086951.3191666666660.9839881834148751.00888078026336
30932.47927.196046875473938.223750.9882461906080221.00568806687895
31932.47973.865239696965925.386251.052387843127090.95749387285879
32920.44938.111519213785912.673751.02787170028040.98116266685586
33900.18911.07866756045900.5383333333331.011704481460660.988037621833872
34886.9888.562525836969889.4354166666670.9990186012234940.998128971469506
35869.74870.234340567499878.86250.9901825832453870.999431945460603
36859.03855.012769249748868.5816666666670.9843780982978931.00469844532705
37859.03858.63747918811858.6433333333330.9999931820990211.00045714381378
38844.99843.253905528038849.1154166666670.993096920602811.00205880395048
39834.82831.663645646164840.5558333333330.9894210624273391.00379522944205
40825.62815.570346603704832.460.9797111532130121.01232223981432
41816.92811.371236349168824.5741666666670.9839881834148751.00683874828469
42813.21807.301607261662816.9033333333330.9882461906080221.00731869314416
43813.21851.53260734733809.1433333333331.052387843127090.954995725334921
44811.03823.804048824977801.4658333333331.02787170028040.984493826118969
45804.16803.10113442829793.811.011704481460661.0013184710198
46788.62785.283982842484786.0554166666670.9990186012234941.00424816656191
47778.76770.891797446947778.5350.9901825832453871.01020662378185
48765.91759.442370788792771.4945833333330.9843780982978931.00851628702846
49765.91764.656869942967764.6620833333330.9999931820990211.00163881357285
50753.85752.601122082728757.83250.993096920602811.00165941543352
51742.22743.25475113052751.2016666666670.9894210624273390.998607810943762
52732.11730.028500112832745.1466666666670.9797111532130121.00285125839176
53729.94727.578082610169739.41750.9839881834148751.00324627341901
54731.22725.287055903102733.9133333333330.9882461906080221.00818013233327
55731.22NANA1.05238784312709NA
56729.11NANA1.0278717002804NA
57726.94NANA1.01170448146066NA
58720.52NANA0.999018601223494NA
59709.36NANA0.990182583245387NA
60703.21NANA0.984378098297893NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 530.3 & NA & NA & 0.999993182099021 & NA \tabularnewline
2 & 527.76 & NA & NA & 0.99309692060281 & NA \tabularnewline
3 & 521.41 & NA & NA & 0.989421062427339 & NA \tabularnewline
4 & 1601.93 & NA & NA & 0.979711153213012 & NA \tabularnewline
5 & 1577.49 & NA & NA & 0.983988183414875 & NA \tabularnewline
6 & 1551.43 & NA & NA & 0.988246190608022 & NA \tabularnewline
7 & 1551.43 & 1352.05045801325 & 1284.74541666667 & 1.05238784312709 & 1.14746457190638 \tabularnewline
8 & 1516.88 & 1386.83362104982 & 1349.22833333333 & 1.0278717002804 & 1.09377215620987 \tabularnewline
9 & 1485.95 & 1426.95900741973 & 1410.45041666667 & 1.01170448146066 & 1.04134035545067 \tabularnewline
10 & 1438.22 & 1421.578494076 & 1422.975 & 0.999018601223494 & 1.01170635740013 \tabularnewline
11 & 1385.06 & 1374.44686408619 & 1388.07416666667 & 0.990182583245387 & 1.00772175061192 \tabularnewline
12 & 1329.49 & 1332.20194696834 & 1353.34375 & 0.984378098297893 & 0.99796431241186 \tabularnewline
13 & 1329.49 & 1318.64725953226 & 1318.65625 & 0.999993182099021 & 1.00822262389684 \tabularnewline
14 & 1276.16 & 1274.45700224416 & 1283.31583333333 & 0.99309692060281 & 1.00133625359886 \tabularnewline
15 & 1242.34 & 1235.08854060518 & 1248.29416666667 & 0.989421062427339 & 1.00587120611715 \tabularnewline
16 & 1181.59 & 1190.89483190875 & 1215.55708333333 & 0.979711153213012 & 0.992186688816315 \tabularnewline
17 & 1160.21 & 1166.0751967558 & 1185.05 & 0.983988183414875 & 0.994970138484966 \tabularnewline
18 & 1135.18 & 1143.47125507456 & 1157.07125 & 0.988246190608022 & 0.992749048095641 \tabularnewline
19 & 1135.18 & 1189.93888067821 & 1130.70375 & 1.05238784312709 & 0.953981770351935 \tabularnewline
20 & 1084.96 & 1136.67020663558 & 1105.84833333333 & 1.0278717002804 & 0.95450729126733 \tabularnewline
21 & 1077.35 & 1095.71473542702 & 1083.03833333333 & 1.01170448146066 & 0.983239492147685 \tabularnewline
22 & 1061.13 & 1061.28659812225 & 1062.32916666667 & 0.999018601223494 & 0.999852445020478 \tabularnewline
23 & 1029.98 & 1033.51916172935 & 1043.76625 & 0.990182583245387 & 0.99657562059766 \tabularnewline
24 & 1013.08 & 1010.29472283837 & 1026.32791666667 & 0.984378098297893 & 1.00275689568466 \tabularnewline
25 & 1013.08 & 1009.42853443595 & 1009.43541666667 & 0.999993182099021 & 1.00361735916856 \tabularnewline
26 & 996.04 & 987.271579582707 & 994.134166666667 & 0.99309692060281 & 1.00888146746916 \tabularnewline
27 & 975.02 & 969.530813261117 & 979.897083333333 & 0.989421062427339 & 1.00566169394908 \tabularnewline
28 & 951.89 & 945.671497407607 & 965.255416666667 & 0.979711153213012 & 1.00657575342964 \tabularnewline
29 & 944.4 & 936.086818656086 & 951.319166666666 & 0.983988183414875 & 1.00888078026336 \tabularnewline
30 & 932.47 & 927.196046875473 & 938.22375 & 0.988246190608022 & 1.00568806687895 \tabularnewline
31 & 932.47 & 973.865239696965 & 925.38625 & 1.05238784312709 & 0.95749387285879 \tabularnewline
32 & 920.44 & 938.111519213785 & 912.67375 & 1.0278717002804 & 0.98116266685586 \tabularnewline
33 & 900.18 & 911.07866756045 & 900.538333333333 & 1.01170448146066 & 0.988037621833872 \tabularnewline
34 & 886.9 & 888.562525836969 & 889.435416666667 & 0.999018601223494 & 0.998128971469506 \tabularnewline
35 & 869.74 & 870.234340567499 & 878.8625 & 0.990182583245387 & 0.999431945460603 \tabularnewline
36 & 859.03 & 855.012769249748 & 868.581666666667 & 0.984378098297893 & 1.00469844532705 \tabularnewline
37 & 859.03 & 858.63747918811 & 858.643333333333 & 0.999993182099021 & 1.00045714381378 \tabularnewline
38 & 844.99 & 843.253905528038 & 849.115416666667 & 0.99309692060281 & 1.00205880395048 \tabularnewline
39 & 834.82 & 831.663645646164 & 840.555833333333 & 0.989421062427339 & 1.00379522944205 \tabularnewline
40 & 825.62 & 815.570346603704 & 832.46 & 0.979711153213012 & 1.01232223981432 \tabularnewline
41 & 816.92 & 811.371236349168 & 824.574166666667 & 0.983988183414875 & 1.00683874828469 \tabularnewline
42 & 813.21 & 807.301607261662 & 816.903333333333 & 0.988246190608022 & 1.00731869314416 \tabularnewline
43 & 813.21 & 851.53260734733 & 809.143333333333 & 1.05238784312709 & 0.954995725334921 \tabularnewline
44 & 811.03 & 823.804048824977 & 801.465833333333 & 1.0278717002804 & 0.984493826118969 \tabularnewline
45 & 804.16 & 803.10113442829 & 793.81 & 1.01170448146066 & 1.0013184710198 \tabularnewline
46 & 788.62 & 785.283982842484 & 786.055416666667 & 0.999018601223494 & 1.00424816656191 \tabularnewline
47 & 778.76 & 770.891797446947 & 778.535 & 0.990182583245387 & 1.01020662378185 \tabularnewline
48 & 765.91 & 759.442370788792 & 771.494583333333 & 0.984378098297893 & 1.00851628702846 \tabularnewline
49 & 765.91 & 764.656869942967 & 764.662083333333 & 0.999993182099021 & 1.00163881357285 \tabularnewline
50 & 753.85 & 752.601122082728 & 757.8325 & 0.99309692060281 & 1.00165941543352 \tabularnewline
51 & 742.22 & 743.25475113052 & 751.201666666667 & 0.989421062427339 & 0.998607810943762 \tabularnewline
52 & 732.11 & 730.028500112832 & 745.146666666667 & 0.979711153213012 & 1.00285125839176 \tabularnewline
53 & 729.94 & 727.578082610169 & 739.4175 & 0.983988183414875 & 1.00324627341901 \tabularnewline
54 & 731.22 & 725.287055903102 & 733.913333333333 & 0.988246190608022 & 1.00818013233327 \tabularnewline
55 & 731.22 & NA & NA & 1.05238784312709 & NA \tabularnewline
56 & 729.11 & NA & NA & 1.0278717002804 & NA \tabularnewline
57 & 726.94 & NA & NA & 1.01170448146066 & NA \tabularnewline
58 & 720.52 & NA & NA & 0.999018601223494 & NA \tabularnewline
59 & 709.36 & NA & NA & 0.990182583245387 & NA \tabularnewline
60 & 703.21 & NA & NA & 0.984378098297893 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167920&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]530.3[/C][C]NA[/C][C]NA[/C][C]0.999993182099021[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]527.76[/C][C]NA[/C][C]NA[/C][C]0.99309692060281[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]521.41[/C][C]NA[/C][C]NA[/C][C]0.989421062427339[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1601.93[/C][C]NA[/C][C]NA[/C][C]0.979711153213012[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1577.49[/C][C]NA[/C][C]NA[/C][C]0.983988183414875[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1551.43[/C][C]NA[/C][C]NA[/C][C]0.988246190608022[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1551.43[/C][C]1352.05045801325[/C][C]1284.74541666667[/C][C]1.05238784312709[/C][C]1.14746457190638[/C][/ROW]
[ROW][C]8[/C][C]1516.88[/C][C]1386.83362104982[/C][C]1349.22833333333[/C][C]1.0278717002804[/C][C]1.09377215620987[/C][/ROW]
[ROW][C]9[/C][C]1485.95[/C][C]1426.95900741973[/C][C]1410.45041666667[/C][C]1.01170448146066[/C][C]1.04134035545067[/C][/ROW]
[ROW][C]10[/C][C]1438.22[/C][C]1421.578494076[/C][C]1422.975[/C][C]0.999018601223494[/C][C]1.01170635740013[/C][/ROW]
[ROW][C]11[/C][C]1385.06[/C][C]1374.44686408619[/C][C]1388.07416666667[/C][C]0.990182583245387[/C][C]1.00772175061192[/C][/ROW]
[ROW][C]12[/C][C]1329.49[/C][C]1332.20194696834[/C][C]1353.34375[/C][C]0.984378098297893[/C][C]0.99796431241186[/C][/ROW]
[ROW][C]13[/C][C]1329.49[/C][C]1318.64725953226[/C][C]1318.65625[/C][C]0.999993182099021[/C][C]1.00822262389684[/C][/ROW]
[ROW][C]14[/C][C]1276.16[/C][C]1274.45700224416[/C][C]1283.31583333333[/C][C]0.99309692060281[/C][C]1.00133625359886[/C][/ROW]
[ROW][C]15[/C][C]1242.34[/C][C]1235.08854060518[/C][C]1248.29416666667[/C][C]0.989421062427339[/C][C]1.00587120611715[/C][/ROW]
[ROW][C]16[/C][C]1181.59[/C][C]1190.89483190875[/C][C]1215.55708333333[/C][C]0.979711153213012[/C][C]0.992186688816315[/C][/ROW]
[ROW][C]17[/C][C]1160.21[/C][C]1166.0751967558[/C][C]1185.05[/C][C]0.983988183414875[/C][C]0.994970138484966[/C][/ROW]
[ROW][C]18[/C][C]1135.18[/C][C]1143.47125507456[/C][C]1157.07125[/C][C]0.988246190608022[/C][C]0.992749048095641[/C][/ROW]
[ROW][C]19[/C][C]1135.18[/C][C]1189.93888067821[/C][C]1130.70375[/C][C]1.05238784312709[/C][C]0.953981770351935[/C][/ROW]
[ROW][C]20[/C][C]1084.96[/C][C]1136.67020663558[/C][C]1105.84833333333[/C][C]1.0278717002804[/C][C]0.95450729126733[/C][/ROW]
[ROW][C]21[/C][C]1077.35[/C][C]1095.71473542702[/C][C]1083.03833333333[/C][C]1.01170448146066[/C][C]0.983239492147685[/C][/ROW]
[ROW][C]22[/C][C]1061.13[/C][C]1061.28659812225[/C][C]1062.32916666667[/C][C]0.999018601223494[/C][C]0.999852445020478[/C][/ROW]
[ROW][C]23[/C][C]1029.98[/C][C]1033.51916172935[/C][C]1043.76625[/C][C]0.990182583245387[/C][C]0.99657562059766[/C][/ROW]
[ROW][C]24[/C][C]1013.08[/C][C]1010.29472283837[/C][C]1026.32791666667[/C][C]0.984378098297893[/C][C]1.00275689568466[/C][/ROW]
[ROW][C]25[/C][C]1013.08[/C][C]1009.42853443595[/C][C]1009.43541666667[/C][C]0.999993182099021[/C][C]1.00361735916856[/C][/ROW]
[ROW][C]26[/C][C]996.04[/C][C]987.271579582707[/C][C]994.134166666667[/C][C]0.99309692060281[/C][C]1.00888146746916[/C][/ROW]
[ROW][C]27[/C][C]975.02[/C][C]969.530813261117[/C][C]979.897083333333[/C][C]0.989421062427339[/C][C]1.00566169394908[/C][/ROW]
[ROW][C]28[/C][C]951.89[/C][C]945.671497407607[/C][C]965.255416666667[/C][C]0.979711153213012[/C][C]1.00657575342964[/C][/ROW]
[ROW][C]29[/C][C]944.4[/C][C]936.086818656086[/C][C]951.319166666666[/C][C]0.983988183414875[/C][C]1.00888078026336[/C][/ROW]
[ROW][C]30[/C][C]932.47[/C][C]927.196046875473[/C][C]938.22375[/C][C]0.988246190608022[/C][C]1.00568806687895[/C][/ROW]
[ROW][C]31[/C][C]932.47[/C][C]973.865239696965[/C][C]925.38625[/C][C]1.05238784312709[/C][C]0.95749387285879[/C][/ROW]
[ROW][C]32[/C][C]920.44[/C][C]938.111519213785[/C][C]912.67375[/C][C]1.0278717002804[/C][C]0.98116266685586[/C][/ROW]
[ROW][C]33[/C][C]900.18[/C][C]911.07866756045[/C][C]900.538333333333[/C][C]1.01170448146066[/C][C]0.988037621833872[/C][/ROW]
[ROW][C]34[/C][C]886.9[/C][C]888.562525836969[/C][C]889.435416666667[/C][C]0.999018601223494[/C][C]0.998128971469506[/C][/ROW]
[ROW][C]35[/C][C]869.74[/C][C]870.234340567499[/C][C]878.8625[/C][C]0.990182583245387[/C][C]0.999431945460603[/C][/ROW]
[ROW][C]36[/C][C]859.03[/C][C]855.012769249748[/C][C]868.581666666667[/C][C]0.984378098297893[/C][C]1.00469844532705[/C][/ROW]
[ROW][C]37[/C][C]859.03[/C][C]858.63747918811[/C][C]858.643333333333[/C][C]0.999993182099021[/C][C]1.00045714381378[/C][/ROW]
[ROW][C]38[/C][C]844.99[/C][C]843.253905528038[/C][C]849.115416666667[/C][C]0.99309692060281[/C][C]1.00205880395048[/C][/ROW]
[ROW][C]39[/C][C]834.82[/C][C]831.663645646164[/C][C]840.555833333333[/C][C]0.989421062427339[/C][C]1.00379522944205[/C][/ROW]
[ROW][C]40[/C][C]825.62[/C][C]815.570346603704[/C][C]832.46[/C][C]0.979711153213012[/C][C]1.01232223981432[/C][/ROW]
[ROW][C]41[/C][C]816.92[/C][C]811.371236349168[/C][C]824.574166666667[/C][C]0.983988183414875[/C][C]1.00683874828469[/C][/ROW]
[ROW][C]42[/C][C]813.21[/C][C]807.301607261662[/C][C]816.903333333333[/C][C]0.988246190608022[/C][C]1.00731869314416[/C][/ROW]
[ROW][C]43[/C][C]813.21[/C][C]851.53260734733[/C][C]809.143333333333[/C][C]1.05238784312709[/C][C]0.954995725334921[/C][/ROW]
[ROW][C]44[/C][C]811.03[/C][C]823.804048824977[/C][C]801.465833333333[/C][C]1.0278717002804[/C][C]0.984493826118969[/C][/ROW]
[ROW][C]45[/C][C]804.16[/C][C]803.10113442829[/C][C]793.81[/C][C]1.01170448146066[/C][C]1.0013184710198[/C][/ROW]
[ROW][C]46[/C][C]788.62[/C][C]785.283982842484[/C][C]786.055416666667[/C][C]0.999018601223494[/C][C]1.00424816656191[/C][/ROW]
[ROW][C]47[/C][C]778.76[/C][C]770.891797446947[/C][C]778.535[/C][C]0.990182583245387[/C][C]1.01020662378185[/C][/ROW]
[ROW][C]48[/C][C]765.91[/C][C]759.442370788792[/C][C]771.494583333333[/C][C]0.984378098297893[/C][C]1.00851628702846[/C][/ROW]
[ROW][C]49[/C][C]765.91[/C][C]764.656869942967[/C][C]764.662083333333[/C][C]0.999993182099021[/C][C]1.00163881357285[/C][/ROW]
[ROW][C]50[/C][C]753.85[/C][C]752.601122082728[/C][C]757.8325[/C][C]0.99309692060281[/C][C]1.00165941543352[/C][/ROW]
[ROW][C]51[/C][C]742.22[/C][C]743.25475113052[/C][C]751.201666666667[/C][C]0.989421062427339[/C][C]0.998607810943762[/C][/ROW]
[ROW][C]52[/C][C]732.11[/C][C]730.028500112832[/C][C]745.146666666667[/C][C]0.979711153213012[/C][C]1.00285125839176[/C][/ROW]
[ROW][C]53[/C][C]729.94[/C][C]727.578082610169[/C][C]739.4175[/C][C]0.983988183414875[/C][C]1.00324627341901[/C][/ROW]
[ROW][C]54[/C][C]731.22[/C][C]725.287055903102[/C][C]733.913333333333[/C][C]0.988246190608022[/C][C]1.00818013233327[/C][/ROW]
[ROW][C]55[/C][C]731.22[/C][C]NA[/C][C]NA[/C][C]1.05238784312709[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]729.11[/C][C]NA[/C][C]NA[/C][C]1.0278717002804[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]726.94[/C][C]NA[/C][C]NA[/C][C]1.01170448146066[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]720.52[/C][C]NA[/C][C]NA[/C][C]0.999018601223494[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]709.36[/C][C]NA[/C][C]NA[/C][C]0.990182583245387[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]703.21[/C][C]NA[/C][C]NA[/C][C]0.984378098297893[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167920&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167920&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
1530.3NANA0.999993182099021NA
2527.76NANA0.99309692060281NA
3521.41NANA0.989421062427339NA
41601.93NANA0.979711153213012NA
51577.49NANA0.983988183414875NA
61551.43NANA0.988246190608022NA
71551.431352.050458013251284.745416666671.052387843127091.14746457190638
81516.881386.833621049821349.228333333331.02787170028041.09377215620987
91485.951426.959007419731410.450416666671.011704481460661.04134035545067
101438.221421.5784940761422.9750.9990186012234941.01170635740013
111385.061374.446864086191388.074166666670.9901825832453871.00772175061192
121329.491332.201946968341353.343750.9843780982978930.99796431241186
131329.491318.647259532261318.656250.9999931820990211.00822262389684
141276.161274.457002244161283.315833333330.993096920602811.00133625359886
151242.341235.088540605181248.294166666670.9894210624273391.00587120611715
161181.591190.894831908751215.557083333330.9797111532130120.992186688816315
171160.211166.07519675581185.050.9839881834148750.994970138484966
181135.181143.471255074561157.071250.9882461906080220.992749048095641
191135.181189.938880678211130.703751.052387843127090.953981770351935
201084.961136.670206635581105.848333333331.02787170028040.95450729126733
211077.351095.714735427021083.038333333331.011704481460660.983239492147685
221061.131061.286598122251062.329166666670.9990186012234940.999852445020478
231029.981033.519161729351043.766250.9901825832453870.99657562059766
241013.081010.294722838371026.327916666670.9843780982978931.00275689568466
251013.081009.428534435951009.435416666670.9999931820990211.00361735916856
26996.04987.271579582707994.1341666666670.993096920602811.00888146746916
27975.02969.530813261117979.8970833333330.9894210624273391.00566169394908
28951.89945.671497407607965.2554166666670.9797111532130121.00657575342964
29944.4936.086818656086951.3191666666660.9839881834148751.00888078026336
30932.47927.196046875473938.223750.9882461906080221.00568806687895
31932.47973.865239696965925.386251.052387843127090.95749387285879
32920.44938.111519213785912.673751.02787170028040.98116266685586
33900.18911.07866756045900.5383333333331.011704481460660.988037621833872
34886.9888.562525836969889.4354166666670.9990186012234940.998128971469506
35869.74870.234340567499878.86250.9901825832453870.999431945460603
36859.03855.012769249748868.5816666666670.9843780982978931.00469844532705
37859.03858.63747918811858.6433333333330.9999931820990211.00045714381378
38844.99843.253905528038849.1154166666670.993096920602811.00205880395048
39834.82831.663645646164840.5558333333330.9894210624273391.00379522944205
40825.62815.570346603704832.460.9797111532130121.01232223981432
41816.92811.371236349168824.5741666666670.9839881834148751.00683874828469
42813.21807.301607261662816.9033333333330.9882461906080221.00731869314416
43813.21851.53260734733809.1433333333331.052387843127090.954995725334921
44811.03823.804048824977801.4658333333331.02787170028040.984493826118969
45804.16803.10113442829793.811.011704481460661.0013184710198
46788.62785.283982842484786.0554166666670.9990186012234941.00424816656191
47778.76770.891797446947778.5350.9901825832453871.01020662378185
48765.91759.442370788792771.4945833333330.9843780982978931.00851628702846
49765.91764.656869942967764.6620833333330.9999931820990211.00163881357285
50753.85752.601122082728757.83250.993096920602811.00165941543352
51742.22743.25475113052751.2016666666670.9894210624273390.998607810943762
52732.11730.028500112832745.1466666666670.9797111532130121.00285125839176
53729.94727.578082610169739.41750.9839881834148751.00324627341901
54731.22725.287055903102733.9133333333330.9882461906080221.00818013233327
55731.22NANA1.05238784312709NA
56729.11NANA1.0278717002804NA
57726.94NANA1.01170448146066NA
58720.52NANA0.999018601223494NA
59709.36NANA0.990182583245387NA
60703.21NANA0.984378098297893NA



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')