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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 09 May 2008 06:36:32 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/09/t1210336731jhlweafejwjzpug.htm/, Retrieved Wed, 05 Nov 2025 07:38:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12150, Retrieved Wed, 05 Nov 2025 07:38:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsmultiplicative classical decomposition
Estimated Impact501

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
56421
53152
53536
52408
41454
38271
35306
26414
31917
38030
27534
18387
50556
43901
48572
43899
37532
40357
35489
29027
34485
42598
30306
26451
47460
50104
61465
53726
39477
43895
31481
29896
33842
39120
33702
25094
51442
45594
52518
48564
41745
49585
32747
33379
35645
37034
35681
20972
58552
54955
65540
51570
51145
46641
35704
33253
35193
41668
34865
21210
56126
49231
59723
48103
47472
50497
40059
34149
36860
46356
36577

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12150&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12150&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12150&T=0

As an alternative you can also use a QR Code:  
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 Ronald Aylmer Fisher' @ 193.190.124.24






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
156421NANA1.27290607861445NA
253152NANA1.18369742267573NA
353536NANA1.37107436141492NA
452408NANA1.23211188309341NA
541454NANA0.999602689108356NA
638271NANA1.12129732166393NA
73530639158.960021967839158.1250.8350219677860331.07976371078956
82641438529.057470339338528.29166666670.765803672637930.895234840812961
93191737936.8551472019379360.8551472018891690.983851717179406
103803037375.595535195737374.6250.9705351956924231.04842698905968
112753436857.473703042636856.66666666670.807036375906450.92567842766349
121838736780.752432496236780.16666666670.5857658295172060.853440305658104
135055636875.981239411936874.70833333331.272906078614451.07707947723675
144390136992.39203075636991.20833333331.183697422675731.00261729759688
154857237208.454407694737207.08333333331.371074361414920.952136797108823
164389937505.648778549837504.41666666671.232111883093410.949996633357874
173753237811.249602689137810.250.9996026891083560.993035428207678
184035738262.871297321738261.751.121297321663930.940661263882834
193548938469.585021967838468.750.8350219677860331.10481048301531
202902738598.97413700638598.20833333330.765803672637930.982013735257662
213448539394.730147201939393.8750.8551472018891691.02367158605017
224259840341.512201862440340.54166666670.9705351956924231.08801828608190
233030640831.848703042640831.04166666670.807036375906450.919697591078992
242645141060.085765829541059.50.5857658295172061.09977642391545
254746041041.189572745341039.91666666671.272906078614450.908499940532697
265010440910.308697422740909.1251.183697422675731.03469298855082
276146540919.912741028140918.54166666671.371074361414921.09558664360505
285372640748.065445216440746.83333333331.232111883093411.07013975641955
293947740744.416269355840743.41666666670.9996026891083560.96930238323718
304389540829.496297321740828.3751.121297321663930.958809158065132
313148140938.585021967840937.750.8350219677860330.920930059591863
322989640916.515803672640915.750.765803672637930.954124666706601
333384240355.896813868640355.04166666670.8551472018891690.980657472732529
343912039768.137201862439767.16666666670.9705351956924231.01359137728657
353370239647.390369709239646.58333333330.807036375906451.05331143096379
362509439978.752432496239978.16666666670.5857658295172061.07157601881627
375144240269.2729060786402681.272906078614451.00360178415761
384559440467.058697422740465.8751.183697422675730.951870915779354
395251840687.496074361440686.1251.371074361414920.941457761213188
404856440675.565445216440674.33333333331.232111883093410.969044812149636
414174540670.874602689140669.8750.9996026891083561.0268433904822
424958540581.70463065540580.58333333331.121297321663931.08971077997909
433274740705.918355301140705.08333333330.8350219677860330.963440659319884
443337941392.140803672641391.3750.765803672637931.05304279996280
453564542324.8551472019423240.8551472018891690.984852143144363
463703442992.80386852942991.83333333330.9705351956924230.887571538558598
473568143509.557036375943508.750.807036375906451.01617217988428
482097243778.335765829543777.750.5857658295172060.817828759195339
495855243779.564572745343778.29166666671.272906078614451.05071894621025
505495543897.433697422743896.251.183697422675731.05764297619096
516554043873.537741028143872.16666666671.371074361414921.08957302906259
525157044047.648778549844046.41666666671.232111883093410.950246770931844
535114544206.499602689144205.50.9996026891083561.15744259294215
544664144182.537963988344181.41666666671.121297321663930.941472049509816
553570444091.085021967844090.250.8350219677860330.969787119023152
563325343751.432470339343750.66666666670.765803672637930.992495879511314
573519343270.646813868643269.79166666670.8551472018891690.951109689952694
584166842883.92886852942882.95833333330.9705351956924231.00116723495115
593486542586.265369709242585.45833333330.807036375906451.01446071457417
602121042593.669099162942593.08333333330.5857658295172060.850114756599057
6156126NA42935.2083333333NANA
6249231NA43154NANA
6359723NA43260.7916666667NANA
6448103NA43525.5833333333NANA
6547472NA43792.25NANA
6650497NANANANA
6740059NANANANA
6834149NANANANA
6936860NANANANA
7046356NANANANA
7136577NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 56421 & NA & NA & 1.27290607861445 & NA \tabularnewline
2 & 53152 & NA & NA & 1.18369742267573 & NA \tabularnewline
3 & 53536 & NA & NA & 1.37107436141492 & NA \tabularnewline
4 & 52408 & NA & NA & 1.23211188309341 & NA \tabularnewline
5 & 41454 & NA & NA & 0.999602689108356 & NA \tabularnewline
6 & 38271 & NA & NA & 1.12129732166393 & NA \tabularnewline
7 & 35306 & 39158.9600219678 & 39158.125 & 0.835021967786033 & 1.07976371078956 \tabularnewline
8 & 26414 & 38529.0574703393 & 38528.2916666667 & 0.76580367263793 & 0.895234840812961 \tabularnewline
9 & 31917 & 37936.8551472019 & 37936 & 0.855147201889169 & 0.983851717179406 \tabularnewline
10 & 38030 & 37375.5955351957 & 37374.625 & 0.970535195692423 & 1.04842698905968 \tabularnewline
11 & 27534 & 36857.4737030426 & 36856.6666666667 & 0.80703637590645 & 0.92567842766349 \tabularnewline
12 & 18387 & 36780.7524324962 & 36780.1666666667 & 0.585765829517206 & 0.853440305658104 \tabularnewline
13 & 50556 & 36875.9812394119 & 36874.7083333333 & 1.27290607861445 & 1.07707947723675 \tabularnewline
14 & 43901 & 36992.392030756 & 36991.2083333333 & 1.18369742267573 & 1.00261729759688 \tabularnewline
15 & 48572 & 37208.4544076947 & 37207.0833333333 & 1.37107436141492 & 0.952136797108823 \tabularnewline
16 & 43899 & 37505.6487785498 & 37504.4166666667 & 1.23211188309341 & 0.949996633357874 \tabularnewline
17 & 37532 & 37811.2496026891 & 37810.25 & 0.999602689108356 & 0.993035428207678 \tabularnewline
18 & 40357 & 38262.8712973217 & 38261.75 & 1.12129732166393 & 0.940661263882834 \tabularnewline
19 & 35489 & 38469.5850219678 & 38468.75 & 0.835021967786033 & 1.10481048301531 \tabularnewline
20 & 29027 & 38598.974137006 & 38598.2083333333 & 0.76580367263793 & 0.982013735257662 \tabularnewline
21 & 34485 & 39394.7301472019 & 39393.875 & 0.855147201889169 & 1.02367158605017 \tabularnewline
22 & 42598 & 40341.5122018624 & 40340.5416666667 & 0.970535195692423 & 1.08801828608190 \tabularnewline
23 & 30306 & 40831.8487030426 & 40831.0416666667 & 0.80703637590645 & 0.919697591078992 \tabularnewline
24 & 26451 & 41060.0857658295 & 41059.5 & 0.585765829517206 & 1.09977642391545 \tabularnewline
25 & 47460 & 41041.1895727453 & 41039.9166666667 & 1.27290607861445 & 0.908499940532697 \tabularnewline
26 & 50104 & 40910.3086974227 & 40909.125 & 1.18369742267573 & 1.03469298855082 \tabularnewline
27 & 61465 & 40919.9127410281 & 40918.5416666667 & 1.37107436141492 & 1.09558664360505 \tabularnewline
28 & 53726 & 40748.0654452164 & 40746.8333333333 & 1.23211188309341 & 1.07013975641955 \tabularnewline
29 & 39477 & 40744.4162693558 & 40743.4166666667 & 0.999602689108356 & 0.96930238323718 \tabularnewline
30 & 43895 & 40829.4962973217 & 40828.375 & 1.12129732166393 & 0.958809158065132 \tabularnewline
31 & 31481 & 40938.5850219678 & 40937.75 & 0.835021967786033 & 0.920930059591863 \tabularnewline
32 & 29896 & 40916.5158036726 & 40915.75 & 0.76580367263793 & 0.954124666706601 \tabularnewline
33 & 33842 & 40355.8968138686 & 40355.0416666667 & 0.855147201889169 & 0.980657472732529 \tabularnewline
34 & 39120 & 39768.1372018624 & 39767.1666666667 & 0.970535195692423 & 1.01359137728657 \tabularnewline
35 & 33702 & 39647.3903697092 & 39646.5833333333 & 0.80703637590645 & 1.05331143096379 \tabularnewline
36 & 25094 & 39978.7524324962 & 39978.1666666667 & 0.585765829517206 & 1.07157601881627 \tabularnewline
37 & 51442 & 40269.2729060786 & 40268 & 1.27290607861445 & 1.00360178415761 \tabularnewline
38 & 45594 & 40467.0586974227 & 40465.875 & 1.18369742267573 & 0.951870915779354 \tabularnewline
39 & 52518 & 40687.4960743614 & 40686.125 & 1.37107436141492 & 0.941457761213188 \tabularnewline
40 & 48564 & 40675.5654452164 & 40674.3333333333 & 1.23211188309341 & 0.969044812149636 \tabularnewline
41 & 41745 & 40670.8746026891 & 40669.875 & 0.999602689108356 & 1.0268433904822 \tabularnewline
42 & 49585 & 40581.704630655 & 40580.5833333333 & 1.12129732166393 & 1.08971077997909 \tabularnewline
43 & 32747 & 40705.9183553011 & 40705.0833333333 & 0.835021967786033 & 0.963440659319884 \tabularnewline
44 & 33379 & 41392.1408036726 & 41391.375 & 0.76580367263793 & 1.05304279996280 \tabularnewline
45 & 35645 & 42324.8551472019 & 42324 & 0.855147201889169 & 0.984852143144363 \tabularnewline
46 & 37034 & 42992.803868529 & 42991.8333333333 & 0.970535195692423 & 0.887571538558598 \tabularnewline
47 & 35681 & 43509.5570363759 & 43508.75 & 0.80703637590645 & 1.01617217988428 \tabularnewline
48 & 20972 & 43778.3357658295 & 43777.75 & 0.585765829517206 & 0.817828759195339 \tabularnewline
49 & 58552 & 43779.5645727453 & 43778.2916666667 & 1.27290607861445 & 1.05071894621025 \tabularnewline
50 & 54955 & 43897.4336974227 & 43896.25 & 1.18369742267573 & 1.05764297619096 \tabularnewline
51 & 65540 & 43873.5377410281 & 43872.1666666667 & 1.37107436141492 & 1.08957302906259 \tabularnewline
52 & 51570 & 44047.6487785498 & 44046.4166666667 & 1.23211188309341 & 0.950246770931844 \tabularnewline
53 & 51145 & 44206.4996026891 & 44205.5 & 0.999602689108356 & 1.15744259294215 \tabularnewline
54 & 46641 & 44182.5379639883 & 44181.4166666667 & 1.12129732166393 & 0.941472049509816 \tabularnewline
55 & 35704 & 44091.0850219678 & 44090.25 & 0.835021967786033 & 0.969787119023152 \tabularnewline
56 & 33253 & 43751.4324703393 & 43750.6666666667 & 0.76580367263793 & 0.992495879511314 \tabularnewline
57 & 35193 & 43270.6468138686 & 43269.7916666667 & 0.855147201889169 & 0.951109689952694 \tabularnewline
58 & 41668 & 42883.928868529 & 42882.9583333333 & 0.970535195692423 & 1.00116723495115 \tabularnewline
59 & 34865 & 42586.2653697092 & 42585.4583333333 & 0.80703637590645 & 1.01446071457417 \tabularnewline
60 & 21210 & 42593.6690991629 & 42593.0833333333 & 0.585765829517206 & 0.850114756599057 \tabularnewline
61 & 56126 & NA & 42935.2083333333 & NA & NA \tabularnewline
62 & 49231 & NA & 43154 & NA & NA \tabularnewline
63 & 59723 & NA & 43260.7916666667 & NA & NA \tabularnewline
64 & 48103 & NA & 43525.5833333333 & NA & NA \tabularnewline
65 & 47472 & NA & 43792.25 & NA & NA \tabularnewline
66 & 50497 & NA & NA & NA & NA \tabularnewline
67 & 40059 & NA & NA & NA & NA \tabularnewline
68 & 34149 & NA & NA & NA & NA \tabularnewline
69 & 36860 & NA & NA & NA & NA \tabularnewline
70 & 46356 & NA & NA & NA & NA \tabularnewline
71 & 36577 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12150&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]56421[/C][C]NA[/C][C]NA[/C][C]1.27290607861445[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]53152[/C][C]NA[/C][C]NA[/C][C]1.18369742267573[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]53536[/C][C]NA[/C][C]NA[/C][C]1.37107436141492[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]52408[/C][C]NA[/C][C]NA[/C][C]1.23211188309341[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]41454[/C][C]NA[/C][C]NA[/C][C]0.999602689108356[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]38271[/C][C]NA[/C][C]NA[/C][C]1.12129732166393[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]35306[/C][C]39158.9600219678[/C][C]39158.125[/C][C]0.835021967786033[/C][C]1.07976371078956[/C][/ROW]
[ROW][C]8[/C][C]26414[/C][C]38529.0574703393[/C][C]38528.2916666667[/C][C]0.76580367263793[/C][C]0.895234840812961[/C][/ROW]
[ROW][C]9[/C][C]31917[/C][C]37936.8551472019[/C][C]37936[/C][C]0.855147201889169[/C][C]0.983851717179406[/C][/ROW]
[ROW][C]10[/C][C]38030[/C][C]37375.5955351957[/C][C]37374.625[/C][C]0.970535195692423[/C][C]1.04842698905968[/C][/ROW]
[ROW][C]11[/C][C]27534[/C][C]36857.4737030426[/C][C]36856.6666666667[/C][C]0.80703637590645[/C][C]0.92567842766349[/C][/ROW]
[ROW][C]12[/C][C]18387[/C][C]36780.7524324962[/C][C]36780.1666666667[/C][C]0.585765829517206[/C][C]0.853440305658104[/C][/ROW]
[ROW][C]13[/C][C]50556[/C][C]36875.9812394119[/C][C]36874.7083333333[/C][C]1.27290607861445[/C][C]1.07707947723675[/C][/ROW]
[ROW][C]14[/C][C]43901[/C][C]36992.392030756[/C][C]36991.2083333333[/C][C]1.18369742267573[/C][C]1.00261729759688[/C][/ROW]
[ROW][C]15[/C][C]48572[/C][C]37208.4544076947[/C][C]37207.0833333333[/C][C]1.37107436141492[/C][C]0.952136797108823[/C][/ROW]
[ROW][C]16[/C][C]43899[/C][C]37505.6487785498[/C][C]37504.4166666667[/C][C]1.23211188309341[/C][C]0.949996633357874[/C][/ROW]
[ROW][C]17[/C][C]37532[/C][C]37811.2496026891[/C][C]37810.25[/C][C]0.999602689108356[/C][C]0.993035428207678[/C][/ROW]
[ROW][C]18[/C][C]40357[/C][C]38262.8712973217[/C][C]38261.75[/C][C]1.12129732166393[/C][C]0.940661263882834[/C][/ROW]
[ROW][C]19[/C][C]35489[/C][C]38469.5850219678[/C][C]38468.75[/C][C]0.835021967786033[/C][C]1.10481048301531[/C][/ROW]
[ROW][C]20[/C][C]29027[/C][C]38598.974137006[/C][C]38598.2083333333[/C][C]0.76580367263793[/C][C]0.982013735257662[/C][/ROW]
[ROW][C]21[/C][C]34485[/C][C]39394.7301472019[/C][C]39393.875[/C][C]0.855147201889169[/C][C]1.02367158605017[/C][/ROW]
[ROW][C]22[/C][C]42598[/C][C]40341.5122018624[/C][C]40340.5416666667[/C][C]0.970535195692423[/C][C]1.08801828608190[/C][/ROW]
[ROW][C]23[/C][C]30306[/C][C]40831.8487030426[/C][C]40831.0416666667[/C][C]0.80703637590645[/C][C]0.919697591078992[/C][/ROW]
[ROW][C]24[/C][C]26451[/C][C]41060.0857658295[/C][C]41059.5[/C][C]0.585765829517206[/C][C]1.09977642391545[/C][/ROW]
[ROW][C]25[/C][C]47460[/C][C]41041.1895727453[/C][C]41039.9166666667[/C][C]1.27290607861445[/C][C]0.908499940532697[/C][/ROW]
[ROW][C]26[/C][C]50104[/C][C]40910.3086974227[/C][C]40909.125[/C][C]1.18369742267573[/C][C]1.03469298855082[/C][/ROW]
[ROW][C]27[/C][C]61465[/C][C]40919.9127410281[/C][C]40918.5416666667[/C][C]1.37107436141492[/C][C]1.09558664360505[/C][/ROW]
[ROW][C]28[/C][C]53726[/C][C]40748.0654452164[/C][C]40746.8333333333[/C][C]1.23211188309341[/C][C]1.07013975641955[/C][/ROW]
[ROW][C]29[/C][C]39477[/C][C]40744.4162693558[/C][C]40743.4166666667[/C][C]0.999602689108356[/C][C]0.96930238323718[/C][/ROW]
[ROW][C]30[/C][C]43895[/C][C]40829.4962973217[/C][C]40828.375[/C][C]1.12129732166393[/C][C]0.958809158065132[/C][/ROW]
[ROW][C]31[/C][C]31481[/C][C]40938.5850219678[/C][C]40937.75[/C][C]0.835021967786033[/C][C]0.920930059591863[/C][/ROW]
[ROW][C]32[/C][C]29896[/C][C]40916.5158036726[/C][C]40915.75[/C][C]0.76580367263793[/C][C]0.954124666706601[/C][/ROW]
[ROW][C]33[/C][C]33842[/C][C]40355.8968138686[/C][C]40355.0416666667[/C][C]0.855147201889169[/C][C]0.980657472732529[/C][/ROW]
[ROW][C]34[/C][C]39120[/C][C]39768.1372018624[/C][C]39767.1666666667[/C][C]0.970535195692423[/C][C]1.01359137728657[/C][/ROW]
[ROW][C]35[/C][C]33702[/C][C]39647.3903697092[/C][C]39646.5833333333[/C][C]0.80703637590645[/C][C]1.05331143096379[/C][/ROW]
[ROW][C]36[/C][C]25094[/C][C]39978.7524324962[/C][C]39978.1666666667[/C][C]0.585765829517206[/C][C]1.07157601881627[/C][/ROW]
[ROW][C]37[/C][C]51442[/C][C]40269.2729060786[/C][C]40268[/C][C]1.27290607861445[/C][C]1.00360178415761[/C][/ROW]
[ROW][C]38[/C][C]45594[/C][C]40467.0586974227[/C][C]40465.875[/C][C]1.18369742267573[/C][C]0.951870915779354[/C][/ROW]
[ROW][C]39[/C][C]52518[/C][C]40687.4960743614[/C][C]40686.125[/C][C]1.37107436141492[/C][C]0.941457761213188[/C][/ROW]
[ROW][C]40[/C][C]48564[/C][C]40675.5654452164[/C][C]40674.3333333333[/C][C]1.23211188309341[/C][C]0.969044812149636[/C][/ROW]
[ROW][C]41[/C][C]41745[/C][C]40670.8746026891[/C][C]40669.875[/C][C]0.999602689108356[/C][C]1.0268433904822[/C][/ROW]
[ROW][C]42[/C][C]49585[/C][C]40581.704630655[/C][C]40580.5833333333[/C][C]1.12129732166393[/C][C]1.08971077997909[/C][/ROW]
[ROW][C]43[/C][C]32747[/C][C]40705.9183553011[/C][C]40705.0833333333[/C][C]0.835021967786033[/C][C]0.963440659319884[/C][/ROW]
[ROW][C]44[/C][C]33379[/C][C]41392.1408036726[/C][C]41391.375[/C][C]0.76580367263793[/C][C]1.05304279996280[/C][/ROW]
[ROW][C]45[/C][C]35645[/C][C]42324.8551472019[/C][C]42324[/C][C]0.855147201889169[/C][C]0.984852143144363[/C][/ROW]
[ROW][C]46[/C][C]37034[/C][C]42992.803868529[/C][C]42991.8333333333[/C][C]0.970535195692423[/C][C]0.887571538558598[/C][/ROW]
[ROW][C]47[/C][C]35681[/C][C]43509.5570363759[/C][C]43508.75[/C][C]0.80703637590645[/C][C]1.01617217988428[/C][/ROW]
[ROW][C]48[/C][C]20972[/C][C]43778.3357658295[/C][C]43777.75[/C][C]0.585765829517206[/C][C]0.817828759195339[/C][/ROW]
[ROW][C]49[/C][C]58552[/C][C]43779.5645727453[/C][C]43778.2916666667[/C][C]1.27290607861445[/C][C]1.05071894621025[/C][/ROW]
[ROW][C]50[/C][C]54955[/C][C]43897.4336974227[/C][C]43896.25[/C][C]1.18369742267573[/C][C]1.05764297619096[/C][/ROW]
[ROW][C]51[/C][C]65540[/C][C]43873.5377410281[/C][C]43872.1666666667[/C][C]1.37107436141492[/C][C]1.08957302906259[/C][/ROW]
[ROW][C]52[/C][C]51570[/C][C]44047.6487785498[/C][C]44046.4166666667[/C][C]1.23211188309341[/C][C]0.950246770931844[/C][/ROW]
[ROW][C]53[/C][C]51145[/C][C]44206.4996026891[/C][C]44205.5[/C][C]0.999602689108356[/C][C]1.15744259294215[/C][/ROW]
[ROW][C]54[/C][C]46641[/C][C]44182.5379639883[/C][C]44181.4166666667[/C][C]1.12129732166393[/C][C]0.941472049509816[/C][/ROW]
[ROW][C]55[/C][C]35704[/C][C]44091.0850219678[/C][C]44090.25[/C][C]0.835021967786033[/C][C]0.969787119023152[/C][/ROW]
[ROW][C]56[/C][C]33253[/C][C]43751.4324703393[/C][C]43750.6666666667[/C][C]0.76580367263793[/C][C]0.992495879511314[/C][/ROW]
[ROW][C]57[/C][C]35193[/C][C]43270.6468138686[/C][C]43269.7916666667[/C][C]0.855147201889169[/C][C]0.951109689952694[/C][/ROW]
[ROW][C]58[/C][C]41668[/C][C]42883.928868529[/C][C]42882.9583333333[/C][C]0.970535195692423[/C][C]1.00116723495115[/C][/ROW]
[ROW][C]59[/C][C]34865[/C][C]42586.2653697092[/C][C]42585.4583333333[/C][C]0.80703637590645[/C][C]1.01446071457417[/C][/ROW]
[ROW][C]60[/C][C]21210[/C][C]42593.6690991629[/C][C]42593.0833333333[/C][C]0.585765829517206[/C][C]0.850114756599057[/C][/ROW]
[ROW][C]61[/C][C]56126[/C][C]NA[/C][C]42935.2083333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]62[/C][C]49231[/C][C]NA[/C][C]43154[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]63[/C][C]59723[/C][C]NA[/C][C]43260.7916666667[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]64[/C][C]48103[/C][C]NA[/C][C]43525.5833333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]65[/C][C]47472[/C][C]NA[/C][C]43792.25[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]50497[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]40059[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]34149[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]36860[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]46356[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]36577[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12150&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12150&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
156421NANA1.27290607861445NA
253152NANA1.18369742267573NA
353536NANA1.37107436141492NA
452408NANA1.23211188309341NA
541454NANA0.999602689108356NA
638271NANA1.12129732166393NA
73530639158.960021967839158.1250.8350219677860331.07976371078956
82641438529.057470339338528.29166666670.765803672637930.895234840812961
93191737936.8551472019379360.8551472018891690.983851717179406
103803037375.595535195737374.6250.9705351956924231.04842698905968
112753436857.473703042636856.66666666670.807036375906450.92567842766349
121838736780.752432496236780.16666666670.5857658295172060.853440305658104
135055636875.981239411936874.70833333331.272906078614451.07707947723675
144390136992.39203075636991.20833333331.183697422675731.00261729759688
154857237208.454407694737207.08333333331.371074361414920.952136797108823
164389937505.648778549837504.41666666671.232111883093410.949996633357874
173753237811.249602689137810.250.9996026891083560.993035428207678
184035738262.871297321738261.751.121297321663930.940661263882834
193548938469.585021967838468.750.8350219677860331.10481048301531
202902738598.97413700638598.20833333330.765803672637930.982013735257662
213448539394.730147201939393.8750.8551472018891691.02367158605017
224259840341.512201862440340.54166666670.9705351956924231.08801828608190
233030640831.848703042640831.04166666670.807036375906450.919697591078992
242645141060.085765829541059.50.5857658295172061.09977642391545
254746041041.189572745341039.91666666671.272906078614450.908499940532697
265010440910.308697422740909.1251.183697422675731.03469298855082
276146540919.912741028140918.54166666671.371074361414921.09558664360505
285372640748.065445216440746.83333333331.232111883093411.07013975641955
293947740744.416269355840743.41666666670.9996026891083560.96930238323718
304389540829.496297321740828.3751.121297321663930.958809158065132
313148140938.585021967840937.750.8350219677860330.920930059591863
322989640916.515803672640915.750.765803672637930.954124666706601
333384240355.896813868640355.04166666670.8551472018891690.980657472732529
343912039768.137201862439767.16666666670.9705351956924231.01359137728657
353370239647.390369709239646.58333333330.807036375906451.05331143096379
362509439978.752432496239978.16666666670.5857658295172061.07157601881627
375144240269.2729060786402681.272906078614451.00360178415761
384559440467.058697422740465.8751.183697422675730.951870915779354
395251840687.496074361440686.1251.371074361414920.941457761213188
404856440675.565445216440674.33333333331.232111883093410.969044812149636
414174540670.874602689140669.8750.9996026891083561.0268433904822
424958540581.70463065540580.58333333331.121297321663931.08971077997909
433274740705.918355301140705.08333333330.8350219677860330.963440659319884
443337941392.140803672641391.3750.765803672637931.05304279996280
453564542324.8551472019423240.8551472018891690.984852143144363
463703442992.80386852942991.83333333330.9705351956924230.887571538558598
473568143509.557036375943508.750.807036375906451.01617217988428
482097243778.335765829543777.750.5857658295172060.817828759195339
495855243779.564572745343778.29166666671.272906078614451.05071894621025
505495543897.433697422743896.251.183697422675731.05764297619096
516554043873.537741028143872.16666666671.371074361414921.08957302906259
525157044047.648778549844046.41666666671.232111883093410.950246770931844
535114544206.499602689144205.50.9996026891083561.15744259294215
544664144182.537963988344181.41666666671.121297321663930.941472049509816
553570444091.085021967844090.250.8350219677860330.969787119023152
563325343751.432470339343750.66666666670.765803672637930.992495879511314
573519343270.646813868643269.79166666670.8551472018891690.951109689952694
584166842883.92886852942882.95833333330.9705351956924231.00116723495115
593486542586.265369709242585.45833333330.807036375906451.01446071457417
602121042593.669099162942593.08333333330.5857658295172060.850114756599057
6156126NA42935.2083333333NANA
6249231NA43154NANA
6359723NA43260.7916666667NANA
6448103NA43525.5833333333NANA
6547472NA43792.25NANA
6650497NANANANA
6740059NANANANA
6834149NANANANA
6936860NANANANA
7046356NANANANA
7136577NANANANA


Figures (Output of Computation)

Input Parameters & R Code

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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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')