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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 03 May 2013 06:40:34 -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/03/t1367577760gmmy7xsue6uqrzt.htm/, Retrieved Fri, 03 May 2024 12:45:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208685, Retrieved Fri, 03 May 2024 12:45:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-05-03 10:40:34] [d06e8713ea83045a022ab0926c74dd0b] [Current]
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Dataseries X:
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581
564
558
575
580
575
563
552
537
545
601
604
586
564
549
551
556
548
540
531
521
519
572
581
563
548
539
541
562
559
546
536
528
530
582
599
584
571
563
565




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208685&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208685&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'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1557NANA0.995670639851884NA
2561NANA1.01171401649304NA
3549NANA1.00340013675357NA
4532NANA0.985637891634141NA
5526NANA0.972790080587271NA
6511NANA0.946483638366855NA
7499508.853823195263534.3750.9522410726461060.980635257619983
8555558.170518908354530.751.051663719092520.994319802280932
9565561.794264921068527.2083333333331.065602019924571.00570624386737
10542540.366184310626523.8751.031479235143171.00302353429362
11527521.428376772903520.751.001302691834671.01068530880805
12510508.192688845368517.50.9820148576722091.00355635016855
13514512.645920693739514.8750.9956706398518841.00264135390842
14517518.882826208868512.8751.011714016493040.996371384609846
15508512.193961473665510.4583333333331.003400136753570.991811770951774
16493500.868321932083508.1666666666670.9856378916341410.984290637703477
17490492.51551121733506.2916666666670.9727900805872710.99489252386973
18469478.053111011792505.0833333333330.9464836383668550.981062541371959
19478480.723034840843504.8333333333330.9522410726461060.994335543247383
20528531.484552036382505.3751.051663719092520.993443737879059
21534540.127023849268506.8751.065602019924570.988656327903012
22518525.753561812764509.7083333333331.031479235143170.985252478773457
23506514.127211311609513.4583333333331.001302691834670.984192217154048
24502508.39727527405517.7083333333330.9820148576722090.987416778993158
25516520.154936769288522.4166666666670.9956706398518840.992012117014413
26528533.468369946643527.2916666666671.011714016493040.989749401736434
27533534.18514780418532.3751.003400136753570.997781391322743
28536529.903571489805537.6250.9856378916341411.01150478849021
29537527.900750398693542.6666666666670.9727900805872711.01723666729861
30524518.120918369322547.4166666666670.9464836383668551.01134692968811
31536525.835455657452552.2083333333330.9522410726461061.01933027572254
32587585.601414248017556.8333333333331.051663719092521.00238828957368
33597597.536332672705560.751.065602019924570.999102426675369
34581581.367483907567563.6251.031479235143170.999367897383774
35564566.111509396025565.3751.001302691834670.99627015285685
36558556.352334157043566.5416666666670.9820148576722091.00296155105641
37575565.001601839284567.4583333333330.9956706398518841.01769622975965
38580575.075108874919568.4166666666671.011714016493041.0085639093904
39575571.227336186569.2916666666671.003400136753571.00660448752189
40563561.608257004037569.7916666666670.9856378916341411.00247813841518
41552554.4903459347455700.9727900805872710.995508765927121
42537539.14074250472569.6250.9464836383668550.996029343850413
43545541.11098953115568.250.9522410726461061.00718708461682
44601595.504580936139566.251.051663719092521.00922817261157
45604601.13273948995564.1251.065602019924571.00476976268583
46586579.734308451923562.0416666666671.031479235143171.01080786742604
47564560.938112154879560.2083333333331.001302691834671.00545851276419
48549548.618967152874558.6666666666670.9820148576722091.00069453094031
49551554.505573844178556.9166666666670.9956706398518840.993678018744022
50556561.121886397452554.6251.011714016493040.990872060916504
51548554.336767217314552.4583333333331.003400136753570.988568740895315
52540542.634727590079550.5416666666670.9856378916341410.995144565107765
53531533.980688402363548.9166666666670.9727900805872710.9944179846442
54521518.515286551975547.8333333333330.9464836383668551.00479197723282
55519520.875866737425470.9522410726461060.996398629966925
56572575.084777057092546.8333333333331.051663719092520.994635961200576
57581583.461505992868547.5416666666671.065602019924570.995781202414238
58563565.508490667241548.251.031479235143170.995564185668935
59548549.423131198781548.7083333333331.001302691834670.997409771962685
60539539.330743290724549.2083333333330.9820148576722090.999386752387401
61541547.577365641876549.9583333333330.9956706398518840.98798824411932
62562557.285804084916550.8333333333331.011714016493041.00845920689264
63559553.8768754879695521.003400136753571.00924957285411
64546545.673777755951553.6250.9856378916341411.0005978338292
65536540.344356846205555.4583333333330.9727900805872710.991960021806166
66528527.585754752991557.4166666666670.9464836383668551.00078517140252
67530532.699526722776559.4166666666670.9522410726461060.994932365081336
68582NANA1.05166371909252NA
69599NANA1.06560201992457NA
70584NANA1.03147923514317NA
71571NANA1.00130269183467NA
72563NANA0.982014857672209NA
73565NANA0.995670639851884NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 557 & NA & NA & 0.995670639851884 & NA \tabularnewline
2 & 561 & NA & NA & 1.01171401649304 & NA \tabularnewline
3 & 549 & NA & NA & 1.00340013675357 & NA \tabularnewline
4 & 532 & NA & NA & 0.985637891634141 & NA \tabularnewline
5 & 526 & NA & NA & 0.972790080587271 & NA \tabularnewline
6 & 511 & NA & NA & 0.946483638366855 & NA \tabularnewline
7 & 499 & 508.853823195263 & 534.375 & 0.952241072646106 & 0.980635257619983 \tabularnewline
8 & 555 & 558.170518908354 & 530.75 & 1.05166371909252 & 0.994319802280932 \tabularnewline
9 & 565 & 561.794264921068 & 527.208333333333 & 1.06560201992457 & 1.00570624386737 \tabularnewline
10 & 542 & 540.366184310626 & 523.875 & 1.03147923514317 & 1.00302353429362 \tabularnewline
11 & 527 & 521.428376772903 & 520.75 & 1.00130269183467 & 1.01068530880805 \tabularnewline
12 & 510 & 508.192688845368 & 517.5 & 0.982014857672209 & 1.00355635016855 \tabularnewline
13 & 514 & 512.645920693739 & 514.875 & 0.995670639851884 & 1.00264135390842 \tabularnewline
14 & 517 & 518.882826208868 & 512.875 & 1.01171401649304 & 0.996371384609846 \tabularnewline
15 & 508 & 512.193961473665 & 510.458333333333 & 1.00340013675357 & 0.991811770951774 \tabularnewline
16 & 493 & 500.868321932083 & 508.166666666667 & 0.985637891634141 & 0.984290637703477 \tabularnewline
17 & 490 & 492.51551121733 & 506.291666666667 & 0.972790080587271 & 0.99489252386973 \tabularnewline
18 & 469 & 478.053111011792 & 505.083333333333 & 0.946483638366855 & 0.981062541371959 \tabularnewline
19 & 478 & 480.723034840843 & 504.833333333333 & 0.952241072646106 & 0.994335543247383 \tabularnewline
20 & 528 & 531.484552036382 & 505.375 & 1.05166371909252 & 0.993443737879059 \tabularnewline
21 & 534 & 540.127023849268 & 506.875 & 1.06560201992457 & 0.988656327903012 \tabularnewline
22 & 518 & 525.753561812764 & 509.708333333333 & 1.03147923514317 & 0.985252478773457 \tabularnewline
23 & 506 & 514.127211311609 & 513.458333333333 & 1.00130269183467 & 0.984192217154048 \tabularnewline
24 & 502 & 508.39727527405 & 517.708333333333 & 0.982014857672209 & 0.987416778993158 \tabularnewline
25 & 516 & 520.154936769288 & 522.416666666667 & 0.995670639851884 & 0.992012117014413 \tabularnewline
26 & 528 & 533.468369946643 & 527.291666666667 & 1.01171401649304 & 0.989749401736434 \tabularnewline
27 & 533 & 534.18514780418 & 532.375 & 1.00340013675357 & 0.997781391322743 \tabularnewline
28 & 536 & 529.903571489805 & 537.625 & 0.985637891634141 & 1.01150478849021 \tabularnewline
29 & 537 & 527.900750398693 & 542.666666666667 & 0.972790080587271 & 1.01723666729861 \tabularnewline
30 & 524 & 518.120918369322 & 547.416666666667 & 0.946483638366855 & 1.01134692968811 \tabularnewline
31 & 536 & 525.835455657452 & 552.208333333333 & 0.952241072646106 & 1.01933027572254 \tabularnewline
32 & 587 & 585.601414248017 & 556.833333333333 & 1.05166371909252 & 1.00238828957368 \tabularnewline
33 & 597 & 597.536332672705 & 560.75 & 1.06560201992457 & 0.999102426675369 \tabularnewline
34 & 581 & 581.367483907567 & 563.625 & 1.03147923514317 & 0.999367897383774 \tabularnewline
35 & 564 & 566.111509396025 & 565.375 & 1.00130269183467 & 0.99627015285685 \tabularnewline
36 & 558 & 556.352334157043 & 566.541666666667 & 0.982014857672209 & 1.00296155105641 \tabularnewline
37 & 575 & 565.001601839284 & 567.458333333333 & 0.995670639851884 & 1.01769622975965 \tabularnewline
38 & 580 & 575.075108874919 & 568.416666666667 & 1.01171401649304 & 1.0085639093904 \tabularnewline
39 & 575 & 571.227336186 & 569.291666666667 & 1.00340013675357 & 1.00660448752189 \tabularnewline
40 & 563 & 561.608257004037 & 569.791666666667 & 0.985637891634141 & 1.00247813841518 \tabularnewline
41 & 552 & 554.490345934745 & 570 & 0.972790080587271 & 0.995508765927121 \tabularnewline
42 & 537 & 539.14074250472 & 569.625 & 0.946483638366855 & 0.996029343850413 \tabularnewline
43 & 545 & 541.11098953115 & 568.25 & 0.952241072646106 & 1.00718708461682 \tabularnewline
44 & 601 & 595.504580936139 & 566.25 & 1.05166371909252 & 1.00922817261157 \tabularnewline
45 & 604 & 601.13273948995 & 564.125 & 1.06560201992457 & 1.00476976268583 \tabularnewline
46 & 586 & 579.734308451923 & 562.041666666667 & 1.03147923514317 & 1.01080786742604 \tabularnewline
47 & 564 & 560.938112154879 & 560.208333333333 & 1.00130269183467 & 1.00545851276419 \tabularnewline
48 & 549 & 548.618967152874 & 558.666666666667 & 0.982014857672209 & 1.00069453094031 \tabularnewline
49 & 551 & 554.505573844178 & 556.916666666667 & 0.995670639851884 & 0.993678018744022 \tabularnewline
50 & 556 & 561.121886397452 & 554.625 & 1.01171401649304 & 0.990872060916504 \tabularnewline
51 & 548 & 554.336767217314 & 552.458333333333 & 1.00340013675357 & 0.988568740895315 \tabularnewline
52 & 540 & 542.634727590079 & 550.541666666667 & 0.985637891634141 & 0.995144565107765 \tabularnewline
53 & 531 & 533.980688402363 & 548.916666666667 & 0.972790080587271 & 0.9944179846442 \tabularnewline
54 & 521 & 518.515286551975 & 547.833333333333 & 0.946483638366855 & 1.00479197723282 \tabularnewline
55 & 519 & 520.87586673742 & 547 & 0.952241072646106 & 0.996398629966925 \tabularnewline
56 & 572 & 575.084777057092 & 546.833333333333 & 1.05166371909252 & 0.994635961200576 \tabularnewline
57 & 581 & 583.461505992868 & 547.541666666667 & 1.06560201992457 & 0.995781202414238 \tabularnewline
58 & 563 & 565.508490667241 & 548.25 & 1.03147923514317 & 0.995564185668935 \tabularnewline
59 & 548 & 549.423131198781 & 548.708333333333 & 1.00130269183467 & 0.997409771962685 \tabularnewline
60 & 539 & 539.330743290724 & 549.208333333333 & 0.982014857672209 & 0.999386752387401 \tabularnewline
61 & 541 & 547.577365641876 & 549.958333333333 & 0.995670639851884 & 0.98798824411932 \tabularnewline
62 & 562 & 557.285804084916 & 550.833333333333 & 1.01171401649304 & 1.00845920689264 \tabularnewline
63 & 559 & 553.876875487969 & 552 & 1.00340013675357 & 1.00924957285411 \tabularnewline
64 & 546 & 545.673777755951 & 553.625 & 0.985637891634141 & 1.0005978338292 \tabularnewline
65 & 536 & 540.344356846205 & 555.458333333333 & 0.972790080587271 & 0.991960021806166 \tabularnewline
66 & 528 & 527.585754752991 & 557.416666666667 & 0.946483638366855 & 1.00078517140252 \tabularnewline
67 & 530 & 532.699526722776 & 559.416666666667 & 0.952241072646106 & 0.994932365081336 \tabularnewline
68 & 582 & NA & NA & 1.05166371909252 & NA \tabularnewline
69 & 599 & NA & NA & 1.06560201992457 & NA \tabularnewline
70 & 584 & NA & NA & 1.03147923514317 & NA \tabularnewline
71 & 571 & NA & NA & 1.00130269183467 & NA \tabularnewline
72 & 563 & NA & NA & 0.982014857672209 & NA \tabularnewline
73 & 565 & NA & NA & 0.995670639851884 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208685&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]557[/C][C]NA[/C][C]NA[/C][C]0.995670639851884[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]561[/C][C]NA[/C][C]NA[/C][C]1.01171401649304[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]549[/C][C]NA[/C][C]NA[/C][C]1.00340013675357[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]532[/C][C]NA[/C][C]NA[/C][C]0.985637891634141[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]526[/C][C]NA[/C][C]NA[/C][C]0.972790080587271[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]511[/C][C]NA[/C][C]NA[/C][C]0.946483638366855[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]499[/C][C]508.853823195263[/C][C]534.375[/C][C]0.952241072646106[/C][C]0.980635257619983[/C][/ROW]
[ROW][C]8[/C][C]555[/C][C]558.170518908354[/C][C]530.75[/C][C]1.05166371909252[/C][C]0.994319802280932[/C][/ROW]
[ROW][C]9[/C][C]565[/C][C]561.794264921068[/C][C]527.208333333333[/C][C]1.06560201992457[/C][C]1.00570624386737[/C][/ROW]
[ROW][C]10[/C][C]542[/C][C]540.366184310626[/C][C]523.875[/C][C]1.03147923514317[/C][C]1.00302353429362[/C][/ROW]
[ROW][C]11[/C][C]527[/C][C]521.428376772903[/C][C]520.75[/C][C]1.00130269183467[/C][C]1.01068530880805[/C][/ROW]
[ROW][C]12[/C][C]510[/C][C]508.192688845368[/C][C]517.5[/C][C]0.982014857672209[/C][C]1.00355635016855[/C][/ROW]
[ROW][C]13[/C][C]514[/C][C]512.645920693739[/C][C]514.875[/C][C]0.995670639851884[/C][C]1.00264135390842[/C][/ROW]
[ROW][C]14[/C][C]517[/C][C]518.882826208868[/C][C]512.875[/C][C]1.01171401649304[/C][C]0.996371384609846[/C][/ROW]
[ROW][C]15[/C][C]508[/C][C]512.193961473665[/C][C]510.458333333333[/C][C]1.00340013675357[/C][C]0.991811770951774[/C][/ROW]
[ROW][C]16[/C][C]493[/C][C]500.868321932083[/C][C]508.166666666667[/C][C]0.985637891634141[/C][C]0.984290637703477[/C][/ROW]
[ROW][C]17[/C][C]490[/C][C]492.51551121733[/C][C]506.291666666667[/C][C]0.972790080587271[/C][C]0.99489252386973[/C][/ROW]
[ROW][C]18[/C][C]469[/C][C]478.053111011792[/C][C]505.083333333333[/C][C]0.946483638366855[/C][C]0.981062541371959[/C][/ROW]
[ROW][C]19[/C][C]478[/C][C]480.723034840843[/C][C]504.833333333333[/C][C]0.952241072646106[/C][C]0.994335543247383[/C][/ROW]
[ROW][C]20[/C][C]528[/C][C]531.484552036382[/C][C]505.375[/C][C]1.05166371909252[/C][C]0.993443737879059[/C][/ROW]
[ROW][C]21[/C][C]534[/C][C]540.127023849268[/C][C]506.875[/C][C]1.06560201992457[/C][C]0.988656327903012[/C][/ROW]
[ROW][C]22[/C][C]518[/C][C]525.753561812764[/C][C]509.708333333333[/C][C]1.03147923514317[/C][C]0.985252478773457[/C][/ROW]
[ROW][C]23[/C][C]506[/C][C]514.127211311609[/C][C]513.458333333333[/C][C]1.00130269183467[/C][C]0.984192217154048[/C][/ROW]
[ROW][C]24[/C][C]502[/C][C]508.39727527405[/C][C]517.708333333333[/C][C]0.982014857672209[/C][C]0.987416778993158[/C][/ROW]
[ROW][C]25[/C][C]516[/C][C]520.154936769288[/C][C]522.416666666667[/C][C]0.995670639851884[/C][C]0.992012117014413[/C][/ROW]
[ROW][C]26[/C][C]528[/C][C]533.468369946643[/C][C]527.291666666667[/C][C]1.01171401649304[/C][C]0.989749401736434[/C][/ROW]
[ROW][C]27[/C][C]533[/C][C]534.18514780418[/C][C]532.375[/C][C]1.00340013675357[/C][C]0.997781391322743[/C][/ROW]
[ROW][C]28[/C][C]536[/C][C]529.903571489805[/C][C]537.625[/C][C]0.985637891634141[/C][C]1.01150478849021[/C][/ROW]
[ROW][C]29[/C][C]537[/C][C]527.900750398693[/C][C]542.666666666667[/C][C]0.972790080587271[/C][C]1.01723666729861[/C][/ROW]
[ROW][C]30[/C][C]524[/C][C]518.120918369322[/C][C]547.416666666667[/C][C]0.946483638366855[/C][C]1.01134692968811[/C][/ROW]
[ROW][C]31[/C][C]536[/C][C]525.835455657452[/C][C]552.208333333333[/C][C]0.952241072646106[/C][C]1.01933027572254[/C][/ROW]
[ROW][C]32[/C][C]587[/C][C]585.601414248017[/C][C]556.833333333333[/C][C]1.05166371909252[/C][C]1.00238828957368[/C][/ROW]
[ROW][C]33[/C][C]597[/C][C]597.536332672705[/C][C]560.75[/C][C]1.06560201992457[/C][C]0.999102426675369[/C][/ROW]
[ROW][C]34[/C][C]581[/C][C]581.367483907567[/C][C]563.625[/C][C]1.03147923514317[/C][C]0.999367897383774[/C][/ROW]
[ROW][C]35[/C][C]564[/C][C]566.111509396025[/C][C]565.375[/C][C]1.00130269183467[/C][C]0.99627015285685[/C][/ROW]
[ROW][C]36[/C][C]558[/C][C]556.352334157043[/C][C]566.541666666667[/C][C]0.982014857672209[/C][C]1.00296155105641[/C][/ROW]
[ROW][C]37[/C][C]575[/C][C]565.001601839284[/C][C]567.458333333333[/C][C]0.995670639851884[/C][C]1.01769622975965[/C][/ROW]
[ROW][C]38[/C][C]580[/C][C]575.075108874919[/C][C]568.416666666667[/C][C]1.01171401649304[/C][C]1.0085639093904[/C][/ROW]
[ROW][C]39[/C][C]575[/C][C]571.227336186[/C][C]569.291666666667[/C][C]1.00340013675357[/C][C]1.00660448752189[/C][/ROW]
[ROW][C]40[/C][C]563[/C][C]561.608257004037[/C][C]569.791666666667[/C][C]0.985637891634141[/C][C]1.00247813841518[/C][/ROW]
[ROW][C]41[/C][C]552[/C][C]554.490345934745[/C][C]570[/C][C]0.972790080587271[/C][C]0.995508765927121[/C][/ROW]
[ROW][C]42[/C][C]537[/C][C]539.14074250472[/C][C]569.625[/C][C]0.946483638366855[/C][C]0.996029343850413[/C][/ROW]
[ROW][C]43[/C][C]545[/C][C]541.11098953115[/C][C]568.25[/C][C]0.952241072646106[/C][C]1.00718708461682[/C][/ROW]
[ROW][C]44[/C][C]601[/C][C]595.504580936139[/C][C]566.25[/C][C]1.05166371909252[/C][C]1.00922817261157[/C][/ROW]
[ROW][C]45[/C][C]604[/C][C]601.13273948995[/C][C]564.125[/C][C]1.06560201992457[/C][C]1.00476976268583[/C][/ROW]
[ROW][C]46[/C][C]586[/C][C]579.734308451923[/C][C]562.041666666667[/C][C]1.03147923514317[/C][C]1.01080786742604[/C][/ROW]
[ROW][C]47[/C][C]564[/C][C]560.938112154879[/C][C]560.208333333333[/C][C]1.00130269183467[/C][C]1.00545851276419[/C][/ROW]
[ROW][C]48[/C][C]549[/C][C]548.618967152874[/C][C]558.666666666667[/C][C]0.982014857672209[/C][C]1.00069453094031[/C][/ROW]
[ROW][C]49[/C][C]551[/C][C]554.505573844178[/C][C]556.916666666667[/C][C]0.995670639851884[/C][C]0.993678018744022[/C][/ROW]
[ROW][C]50[/C][C]556[/C][C]561.121886397452[/C][C]554.625[/C][C]1.01171401649304[/C][C]0.990872060916504[/C][/ROW]
[ROW][C]51[/C][C]548[/C][C]554.336767217314[/C][C]552.458333333333[/C][C]1.00340013675357[/C][C]0.988568740895315[/C][/ROW]
[ROW][C]52[/C][C]540[/C][C]542.634727590079[/C][C]550.541666666667[/C][C]0.985637891634141[/C][C]0.995144565107765[/C][/ROW]
[ROW][C]53[/C][C]531[/C][C]533.980688402363[/C][C]548.916666666667[/C][C]0.972790080587271[/C][C]0.9944179846442[/C][/ROW]
[ROW][C]54[/C][C]521[/C][C]518.515286551975[/C][C]547.833333333333[/C][C]0.946483638366855[/C][C]1.00479197723282[/C][/ROW]
[ROW][C]55[/C][C]519[/C][C]520.87586673742[/C][C]547[/C][C]0.952241072646106[/C][C]0.996398629966925[/C][/ROW]
[ROW][C]56[/C][C]572[/C][C]575.084777057092[/C][C]546.833333333333[/C][C]1.05166371909252[/C][C]0.994635961200576[/C][/ROW]
[ROW][C]57[/C][C]581[/C][C]583.461505992868[/C][C]547.541666666667[/C][C]1.06560201992457[/C][C]0.995781202414238[/C][/ROW]
[ROW][C]58[/C][C]563[/C][C]565.508490667241[/C][C]548.25[/C][C]1.03147923514317[/C][C]0.995564185668935[/C][/ROW]
[ROW][C]59[/C][C]548[/C][C]549.423131198781[/C][C]548.708333333333[/C][C]1.00130269183467[/C][C]0.997409771962685[/C][/ROW]
[ROW][C]60[/C][C]539[/C][C]539.330743290724[/C][C]549.208333333333[/C][C]0.982014857672209[/C][C]0.999386752387401[/C][/ROW]
[ROW][C]61[/C][C]541[/C][C]547.577365641876[/C][C]549.958333333333[/C][C]0.995670639851884[/C][C]0.98798824411932[/C][/ROW]
[ROW][C]62[/C][C]562[/C][C]557.285804084916[/C][C]550.833333333333[/C][C]1.01171401649304[/C][C]1.00845920689264[/C][/ROW]
[ROW][C]63[/C][C]559[/C][C]553.876875487969[/C][C]552[/C][C]1.00340013675357[/C][C]1.00924957285411[/C][/ROW]
[ROW][C]64[/C][C]546[/C][C]545.673777755951[/C][C]553.625[/C][C]0.985637891634141[/C][C]1.0005978338292[/C][/ROW]
[ROW][C]65[/C][C]536[/C][C]540.344356846205[/C][C]555.458333333333[/C][C]0.972790080587271[/C][C]0.991960021806166[/C][/ROW]
[ROW][C]66[/C][C]528[/C][C]527.585754752991[/C][C]557.416666666667[/C][C]0.946483638366855[/C][C]1.00078517140252[/C][/ROW]
[ROW][C]67[/C][C]530[/C][C]532.699526722776[/C][C]559.416666666667[/C][C]0.952241072646106[/C][C]0.994932365081336[/C][/ROW]
[ROW][C]68[/C][C]582[/C][C]NA[/C][C]NA[/C][C]1.05166371909252[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]599[/C][C]NA[/C][C]NA[/C][C]1.06560201992457[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]584[/C][C]NA[/C][C]NA[/C][C]1.03147923514317[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]571[/C][C]NA[/C][C]NA[/C][C]1.00130269183467[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]563[/C][C]NA[/C][C]NA[/C][C]0.982014857672209[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]565[/C][C]NA[/C][C]NA[/C][C]0.995670639851884[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208685&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
1557NANA0.995670639851884NA
2561NANA1.01171401649304NA
3549NANA1.00340013675357NA
4532NANA0.985637891634141NA
5526NANA0.972790080587271NA
6511NANA0.946483638366855NA
7499508.853823195263534.3750.9522410726461060.980635257619983
8555558.170518908354530.751.051663719092520.994319802280932
9565561.794264921068527.2083333333331.065602019924571.00570624386737
10542540.366184310626523.8751.031479235143171.00302353429362
11527521.428376772903520.751.001302691834671.01068530880805
12510508.192688845368517.50.9820148576722091.00355635016855
13514512.645920693739514.8750.9956706398518841.00264135390842
14517518.882826208868512.8751.011714016493040.996371384609846
15508512.193961473665510.4583333333331.003400136753570.991811770951774
16493500.868321932083508.1666666666670.9856378916341410.984290637703477
17490492.51551121733506.2916666666670.9727900805872710.99489252386973
18469478.053111011792505.0833333333330.9464836383668550.981062541371959
19478480.723034840843504.8333333333330.9522410726461060.994335543247383
20528531.484552036382505.3751.051663719092520.993443737879059
21534540.127023849268506.8751.065602019924570.988656327903012
22518525.753561812764509.7083333333331.031479235143170.985252478773457
23506514.127211311609513.4583333333331.001302691834670.984192217154048
24502508.39727527405517.7083333333330.9820148576722090.987416778993158
25516520.154936769288522.4166666666670.9956706398518840.992012117014413
26528533.468369946643527.2916666666671.011714016493040.989749401736434
27533534.18514780418532.3751.003400136753570.997781391322743
28536529.903571489805537.6250.9856378916341411.01150478849021
29537527.900750398693542.6666666666670.9727900805872711.01723666729861
30524518.120918369322547.4166666666670.9464836383668551.01134692968811
31536525.835455657452552.2083333333330.9522410726461061.01933027572254
32587585.601414248017556.8333333333331.051663719092521.00238828957368
33597597.536332672705560.751.065602019924570.999102426675369
34581581.367483907567563.6251.031479235143170.999367897383774
35564566.111509396025565.3751.001302691834670.99627015285685
36558556.352334157043566.5416666666670.9820148576722091.00296155105641
37575565.001601839284567.4583333333330.9956706398518841.01769622975965
38580575.075108874919568.4166666666671.011714016493041.0085639093904
39575571.227336186569.2916666666671.003400136753571.00660448752189
40563561.608257004037569.7916666666670.9856378916341411.00247813841518
41552554.4903459347455700.9727900805872710.995508765927121
42537539.14074250472569.6250.9464836383668550.996029343850413
43545541.11098953115568.250.9522410726461061.00718708461682
44601595.504580936139566.251.051663719092521.00922817261157
45604601.13273948995564.1251.065602019924571.00476976268583
46586579.734308451923562.0416666666671.031479235143171.01080786742604
47564560.938112154879560.2083333333331.001302691834671.00545851276419
48549548.618967152874558.6666666666670.9820148576722091.00069453094031
49551554.505573844178556.9166666666670.9956706398518840.993678018744022
50556561.121886397452554.6251.011714016493040.990872060916504
51548554.336767217314552.4583333333331.003400136753570.988568740895315
52540542.634727590079550.5416666666670.9856378916341410.995144565107765
53531533.980688402363548.9166666666670.9727900805872710.9944179846442
54521518.515286551975547.8333333333330.9464836383668551.00479197723282
55519520.875866737425470.9522410726461060.996398629966925
56572575.084777057092546.8333333333331.051663719092520.994635961200576
57581583.461505992868547.5416666666671.065602019924570.995781202414238
58563565.508490667241548.251.031479235143170.995564185668935
59548549.423131198781548.7083333333331.001302691834670.997409771962685
60539539.330743290724549.2083333333330.9820148576722090.999386752387401
61541547.577365641876549.9583333333330.9956706398518840.98798824411932
62562557.285804084916550.8333333333331.011714016493041.00845920689264
63559553.8768754879695521.003400136753571.00924957285411
64546545.673777755951553.6250.9856378916341411.0005978338292
65536540.344356846205555.4583333333330.9727900805872710.991960021806166
66528527.585754752991557.4166666666670.9464836383668551.00078517140252
67530532.699526722776559.4166666666670.9522410726461060.994932365081336
68582NANA1.05166371909252NA
69599NANA1.06560201992457NA
70584NANA1.03147923514317NA
71571NANA1.00130269183467NA
72563NANA0.982014857672209NA
73565NANA0.995670639851884NA



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')