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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 02 Jun 2009 05:52:28 -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/2009/Jun/02/t1243943814545sib15zx5qi6z.htm/, Retrieved Fri, 10 May 2024 08:15:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41201, Retrieved Fri, 10 May 2024 08:15:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Datareeks-Werkloo...] [2009-02-15 13:51:16] [74be16979710d4c4e7c6647856088456]
- RMP     [Classical Decomposition] [Robin Bosmans-Dat...] [2009-06-02 11:52:28] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- RMP       [Exponential Smoothing] [Robin Bosmans- Da...] [2009-06-03 17:20:49] [b9edf9f086957f8eb4568189a646cc4d]
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Dataseries X:
467
460
448
443
436
431
484
510
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41201&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41201&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'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1467NANA0.999132198884102NA
2460NANA0.990447201199623NA
3448NANA0.973009564451151NA
4443NANA0.960724070363275NA
5436NANA0.943109726810955NA
6431NANA0.945472181629265NA
7484490.833970450881470.1251.044049923851910.98607681851237
8510497.701461910019471.1251.056410638174621.02471067302632
9513498.521569531802472.6666666666671.05470007658351.02904273626876
10503490.27544410345474.3333333333331.033609509705091.02595389193889
11471477.635754143836475.8751.003700034975230.986107082465528
12471475.623075966733477.7083333333330.9956348733712690.99027995864722
13476479.708346989230480.1250.9991321988841020.992269580021894
14475477.519356878368482.1250.9904472011996230.994724073815902
15470470.125787890648483.1666666666670.9730095644511510.999732437798802
16461465.230631073416484.250.9607240703632750.990906378920806
17455458.822882093529486.50.9431097268109550.991668065733587
18456463.084395627167489.7916666666670.9454721816292650.984701718101357
19517515.021127020118493.2916666666671.044049923851911.00384231418104
20525524.860018733092496.8333333333331.056410638174621.00026670209563
21523527.613713310897500.251.05470007658350.991255509107327
22519520.853058765559503.9166666666671.033609509705090.996442261911736
23509509.712334428252507.8333333333331.003700034975230.998602477554224
24512509.640600806918511.8750.9956348733712691.00462953538110
25519515.718736657344516.1666666666670.9991321988841021.00636250558575
26517515.651574124553520.6250.9904472011996231.00261499419979
27510511.032731662782525.2083333333330.9730095644511510.997979128148168
28509508.623334918157529.4166666666670.9607240703632751.00074055800429
29501502.598891913004532.9166666666670.9431097268109550.99681875161539
30507507.048852072928536.2916666666670.9454721816292650.999903654109997
31569563.656452639553539.8751.044049923851911.00948014936301
32580574.159181847907543.51.056410638174621.01017282025046
33578577.140671073797547.2083333333331.05470007658351.00148894189800
34565569.045102155559550.5416666666671.033609509705090.992891420837758
35547555.547969358788553.51.003700034975230.984613445048402
36555554.070807031111556.50.9956348733712691.00167702928416
37562558.5565296845559.0416666666670.9991321988841021.00616494505479
38561556.012297573438561.3750.9904472011996231.00897048940883
39555548.899020546006564.1250.9730095644511511.0111149395893
40544545.210909931159567.50.9607240703632750.997779006419164
41537538.869320156609571.3750.9431097268109550.996531032503269
42543543.6465044368275750.9454721816292650.998810799974706
43594603.330349745925577.8751.044049923851910.984535255437002
44611612.982272800825580.251.056410638174620.996766182500242
45613614.494632119463582.6251.05470007658350.997567705165613
46611604.704630240385585.0416666666671.033609509705091.01041065248188
47594589.673770547945587.51.003700034975231.00733664895428
48595587.258636143487589.8333333333330.9956348733712691.01318220521600
49591591.527892247675592.0416666666670.9991321988841020.999107578434435
50589588.243100245809593.9166666666670.9904472011996231.00128671250691
51584579.224485304733595.2916666666670.9730095644511511.00824466992751
52573572.551515766914595.9583333333330.9607240703632751.00078330808798
53567562.132693417946596.0416666666670.9431097268109551.00865864348231
54569563.65899894798596.1666666666670.9454721816292651.00947558907422
55621622.601771257025596.3333333333331.044049923851910.99742729408914
56629630.104928561238596.4583333333331.056410638174620.998246437202513
57628628.952812335961596.3333333333331.05470007658350.998485081364972
58612616.246603098758596.2083333333331.033609509705090.993108922503744
59595598.707070862722596.51.003700034975230.99380820597729
60597594.311049829866596.9166666666670.9956348733712691.00452448287964
61593596.523553242096597.0416666666670.9991321988841020.994093186726752
62590591.173173216025596.8750.9904472011996230.99801551682455
63580580.319121064741596.4166666666670.9730095644511510.999450093830864
64574571.710882205346595.0833333333330.9607240703632751.0040039779999
65573559.146179283045592.8750.9431097268109551.02477674216556
66573557.8285871612665900.9454721816292651.02719726666562
67620612.8573053010745871.044049923851911.01165474350578
68626616.899795584055583.9583333333331.056410638174621.01475151147899
69620611.989719437577580.251.05470007658351.01308891360101
70588595.61747996756576.251.033609509705090.98721078506968
71566573.781853327504571.6666666666671.003700034975230.986437609899345
72557563.5293383281385660.9956348733712690.988413489974614
73561559.722183916531560.2083333333330.9991321988841021.00228294700511
74549549.656928032407554.9583333333330.9904472011996230.998804839893934
75532534.344419144424549.1666666666670.9730095644511510.995612531804528
76526522.033441733645543.3750.9607240703632751.00759828384401
77511507.864587887699538.50.9431097268109551.00617371674867
78499505.236697058138534.3750.9454721816292650.987655890606416
79555554.129497084404530.751.044049923851911.00157093769629
80565556.948491867646527.2083333333331.056410638174621.01445646814727
81542552.531002620182523.8751.05470007658350.980940431269482
82527538.252152178928520.751.033609509705090.979095016836668
83510519.41476809968517.51.003700034975230.98187427720986
84514512.627505427032514.8750.9956348733712691.00267737208487
85517512.429926502684512.8750.9991321988841021.00891843598696
86508505.582027579024510.4583333333330.9904472011996231.00478255216578
87493494.451027001927508.1666666666670.9730095644511510.997065377716525
88490486.406590791006506.2916666666670.9607240703632751.00738766553954
89469476.349004516766505.0833333333330.9431097268109550.984572226566903
90478477.305873025841504.8333333333330.9454721816292651.00145426028337
91528527.636730266661505.3751.044049923851911.00068848454344
92534NANA1.05641063817462NA
93518NANA1.0547000765835NA
94506NANA1.03360950970509NA
95502NANA1.00370003497523NA
96516NANA0.995634873371269NA
97528NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 467 & NA & NA & 0.999132198884102 & NA \tabularnewline
2 & 460 & NA & NA & 0.990447201199623 & NA \tabularnewline
3 & 448 & NA & NA & 0.973009564451151 & NA \tabularnewline
4 & 443 & NA & NA & 0.960724070363275 & NA \tabularnewline
5 & 436 & NA & NA & 0.943109726810955 & NA \tabularnewline
6 & 431 & NA & NA & 0.945472181629265 & NA \tabularnewline
7 & 484 & 490.833970450881 & 470.125 & 1.04404992385191 & 0.98607681851237 \tabularnewline
8 & 510 & 497.701461910019 & 471.125 & 1.05641063817462 & 1.02471067302632 \tabularnewline
9 & 513 & 498.521569531802 & 472.666666666667 & 1.0547000765835 & 1.02904273626876 \tabularnewline
10 & 503 & 490.27544410345 & 474.333333333333 & 1.03360950970509 & 1.02595389193889 \tabularnewline
11 & 471 & 477.635754143836 & 475.875 & 1.00370003497523 & 0.986107082465528 \tabularnewline
12 & 471 & 475.623075966733 & 477.708333333333 & 0.995634873371269 & 0.99027995864722 \tabularnewline
13 & 476 & 479.708346989230 & 480.125 & 0.999132198884102 & 0.992269580021894 \tabularnewline
14 & 475 & 477.519356878368 & 482.125 & 0.990447201199623 & 0.994724073815902 \tabularnewline
15 & 470 & 470.125787890648 & 483.166666666667 & 0.973009564451151 & 0.999732437798802 \tabularnewline
16 & 461 & 465.230631073416 & 484.25 & 0.960724070363275 & 0.990906378920806 \tabularnewline
17 & 455 & 458.822882093529 & 486.5 & 0.943109726810955 & 0.991668065733587 \tabularnewline
18 & 456 & 463.084395627167 & 489.791666666667 & 0.945472181629265 & 0.984701718101357 \tabularnewline
19 & 517 & 515.021127020118 & 493.291666666667 & 1.04404992385191 & 1.00384231418104 \tabularnewline
20 & 525 & 524.860018733092 & 496.833333333333 & 1.05641063817462 & 1.00026670209563 \tabularnewline
21 & 523 & 527.613713310897 & 500.25 & 1.0547000765835 & 0.991255509107327 \tabularnewline
22 & 519 & 520.853058765559 & 503.916666666667 & 1.03360950970509 & 0.996442261911736 \tabularnewline
23 & 509 & 509.712334428252 & 507.833333333333 & 1.00370003497523 & 0.998602477554224 \tabularnewline
24 & 512 & 509.640600806918 & 511.875 & 0.995634873371269 & 1.00462953538110 \tabularnewline
25 & 519 & 515.718736657344 & 516.166666666667 & 0.999132198884102 & 1.00636250558575 \tabularnewline
26 & 517 & 515.651574124553 & 520.625 & 0.990447201199623 & 1.00261499419979 \tabularnewline
27 & 510 & 511.032731662782 & 525.208333333333 & 0.973009564451151 & 0.997979128148168 \tabularnewline
28 & 509 & 508.623334918157 & 529.416666666667 & 0.960724070363275 & 1.00074055800429 \tabularnewline
29 & 501 & 502.598891913004 & 532.916666666667 & 0.943109726810955 & 0.99681875161539 \tabularnewline
30 & 507 & 507.048852072928 & 536.291666666667 & 0.945472181629265 & 0.999903654109997 \tabularnewline
31 & 569 & 563.656452639553 & 539.875 & 1.04404992385191 & 1.00948014936301 \tabularnewline
32 & 580 & 574.159181847907 & 543.5 & 1.05641063817462 & 1.01017282025046 \tabularnewline
33 & 578 & 577.140671073797 & 547.208333333333 & 1.0547000765835 & 1.00148894189800 \tabularnewline
34 & 565 & 569.045102155559 & 550.541666666667 & 1.03360950970509 & 0.992891420837758 \tabularnewline
35 & 547 & 555.547969358788 & 553.5 & 1.00370003497523 & 0.984613445048402 \tabularnewline
36 & 555 & 554.070807031111 & 556.5 & 0.995634873371269 & 1.00167702928416 \tabularnewline
37 & 562 & 558.5565296845 & 559.041666666667 & 0.999132198884102 & 1.00616494505479 \tabularnewline
38 & 561 & 556.012297573438 & 561.375 & 0.990447201199623 & 1.00897048940883 \tabularnewline
39 & 555 & 548.899020546006 & 564.125 & 0.973009564451151 & 1.0111149395893 \tabularnewline
40 & 544 & 545.210909931159 & 567.5 & 0.960724070363275 & 0.997779006419164 \tabularnewline
41 & 537 & 538.869320156609 & 571.375 & 0.943109726810955 & 0.996531032503269 \tabularnewline
42 & 543 & 543.646504436827 & 575 & 0.945472181629265 & 0.998810799974706 \tabularnewline
43 & 594 & 603.330349745925 & 577.875 & 1.04404992385191 & 0.984535255437002 \tabularnewline
44 & 611 & 612.982272800825 & 580.25 & 1.05641063817462 & 0.996766182500242 \tabularnewline
45 & 613 & 614.494632119463 & 582.625 & 1.0547000765835 & 0.997567705165613 \tabularnewline
46 & 611 & 604.704630240385 & 585.041666666667 & 1.03360950970509 & 1.01041065248188 \tabularnewline
47 & 594 & 589.673770547945 & 587.5 & 1.00370003497523 & 1.00733664895428 \tabularnewline
48 & 595 & 587.258636143487 & 589.833333333333 & 0.995634873371269 & 1.01318220521600 \tabularnewline
49 & 591 & 591.527892247675 & 592.041666666667 & 0.999132198884102 & 0.999107578434435 \tabularnewline
50 & 589 & 588.243100245809 & 593.916666666667 & 0.990447201199623 & 1.00128671250691 \tabularnewline
51 & 584 & 579.224485304733 & 595.291666666667 & 0.973009564451151 & 1.00824466992751 \tabularnewline
52 & 573 & 572.551515766914 & 595.958333333333 & 0.960724070363275 & 1.00078330808798 \tabularnewline
53 & 567 & 562.132693417946 & 596.041666666667 & 0.943109726810955 & 1.00865864348231 \tabularnewline
54 & 569 & 563.65899894798 & 596.166666666667 & 0.945472181629265 & 1.00947558907422 \tabularnewline
55 & 621 & 622.601771257025 & 596.333333333333 & 1.04404992385191 & 0.99742729408914 \tabularnewline
56 & 629 & 630.104928561238 & 596.458333333333 & 1.05641063817462 & 0.998246437202513 \tabularnewline
57 & 628 & 628.952812335961 & 596.333333333333 & 1.0547000765835 & 0.998485081364972 \tabularnewline
58 & 612 & 616.246603098758 & 596.208333333333 & 1.03360950970509 & 0.993108922503744 \tabularnewline
59 & 595 & 598.707070862722 & 596.5 & 1.00370003497523 & 0.99380820597729 \tabularnewline
60 & 597 & 594.311049829866 & 596.916666666667 & 0.995634873371269 & 1.00452448287964 \tabularnewline
61 & 593 & 596.523553242096 & 597.041666666667 & 0.999132198884102 & 0.994093186726752 \tabularnewline
62 & 590 & 591.173173216025 & 596.875 & 0.990447201199623 & 0.99801551682455 \tabularnewline
63 & 580 & 580.319121064741 & 596.416666666667 & 0.973009564451151 & 0.999450093830864 \tabularnewline
64 & 574 & 571.710882205346 & 595.083333333333 & 0.960724070363275 & 1.0040039779999 \tabularnewline
65 & 573 & 559.146179283045 & 592.875 & 0.943109726810955 & 1.02477674216556 \tabularnewline
66 & 573 & 557.828587161266 & 590 & 0.945472181629265 & 1.02719726666562 \tabularnewline
67 & 620 & 612.857305301074 & 587 & 1.04404992385191 & 1.01165474350578 \tabularnewline
68 & 626 & 616.899795584055 & 583.958333333333 & 1.05641063817462 & 1.01475151147899 \tabularnewline
69 & 620 & 611.989719437577 & 580.25 & 1.0547000765835 & 1.01308891360101 \tabularnewline
70 & 588 & 595.61747996756 & 576.25 & 1.03360950970509 & 0.98721078506968 \tabularnewline
71 & 566 & 573.781853327504 & 571.666666666667 & 1.00370003497523 & 0.986437609899345 \tabularnewline
72 & 557 & 563.529338328138 & 566 & 0.995634873371269 & 0.988413489974614 \tabularnewline
73 & 561 & 559.722183916531 & 560.208333333333 & 0.999132198884102 & 1.00228294700511 \tabularnewline
74 & 549 & 549.656928032407 & 554.958333333333 & 0.990447201199623 & 0.998804839893934 \tabularnewline
75 & 532 & 534.344419144424 & 549.166666666667 & 0.973009564451151 & 0.995612531804528 \tabularnewline
76 & 526 & 522.033441733645 & 543.375 & 0.960724070363275 & 1.00759828384401 \tabularnewline
77 & 511 & 507.864587887699 & 538.5 & 0.943109726810955 & 1.00617371674867 \tabularnewline
78 & 499 & 505.236697058138 & 534.375 & 0.945472181629265 & 0.987655890606416 \tabularnewline
79 & 555 & 554.129497084404 & 530.75 & 1.04404992385191 & 1.00157093769629 \tabularnewline
80 & 565 & 556.948491867646 & 527.208333333333 & 1.05641063817462 & 1.01445646814727 \tabularnewline
81 & 542 & 552.531002620182 & 523.875 & 1.0547000765835 & 0.980940431269482 \tabularnewline
82 & 527 & 538.252152178928 & 520.75 & 1.03360950970509 & 0.979095016836668 \tabularnewline
83 & 510 & 519.41476809968 & 517.5 & 1.00370003497523 & 0.98187427720986 \tabularnewline
84 & 514 & 512.627505427032 & 514.875 & 0.995634873371269 & 1.00267737208487 \tabularnewline
85 & 517 & 512.429926502684 & 512.875 & 0.999132198884102 & 1.00891843598696 \tabularnewline
86 & 508 & 505.582027579024 & 510.458333333333 & 0.990447201199623 & 1.00478255216578 \tabularnewline
87 & 493 & 494.451027001927 & 508.166666666667 & 0.973009564451151 & 0.997065377716525 \tabularnewline
88 & 490 & 486.406590791006 & 506.291666666667 & 0.960724070363275 & 1.00738766553954 \tabularnewline
89 & 469 & 476.349004516766 & 505.083333333333 & 0.943109726810955 & 0.984572226566903 \tabularnewline
90 & 478 & 477.305873025841 & 504.833333333333 & 0.945472181629265 & 1.00145426028337 \tabularnewline
91 & 528 & 527.636730266661 & 505.375 & 1.04404992385191 & 1.00068848454344 \tabularnewline
92 & 534 & NA & NA & 1.05641063817462 & NA \tabularnewline
93 & 518 & NA & NA & 1.0547000765835 & NA \tabularnewline
94 & 506 & NA & NA & 1.03360950970509 & NA \tabularnewline
95 & 502 & NA & NA & 1.00370003497523 & NA \tabularnewline
96 & 516 & NA & NA & 0.995634873371269 & NA \tabularnewline
97 & 528 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41201&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]467[/C][C]NA[/C][C]NA[/C][C]0.999132198884102[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]460[/C][C]NA[/C][C]NA[/C][C]0.990447201199623[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]448[/C][C]NA[/C][C]NA[/C][C]0.973009564451151[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]443[/C][C]NA[/C][C]NA[/C][C]0.960724070363275[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]436[/C][C]NA[/C][C]NA[/C][C]0.943109726810955[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]431[/C][C]NA[/C][C]NA[/C][C]0.945472181629265[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]484[/C][C]490.833970450881[/C][C]470.125[/C][C]1.04404992385191[/C][C]0.98607681851237[/C][/ROW]
[ROW][C]8[/C][C]510[/C][C]497.701461910019[/C][C]471.125[/C][C]1.05641063817462[/C][C]1.02471067302632[/C][/ROW]
[ROW][C]9[/C][C]513[/C][C]498.521569531802[/C][C]472.666666666667[/C][C]1.0547000765835[/C][C]1.02904273626876[/C][/ROW]
[ROW][C]10[/C][C]503[/C][C]490.27544410345[/C][C]474.333333333333[/C][C]1.03360950970509[/C][C]1.02595389193889[/C][/ROW]
[ROW][C]11[/C][C]471[/C][C]477.635754143836[/C][C]475.875[/C][C]1.00370003497523[/C][C]0.986107082465528[/C][/ROW]
[ROW][C]12[/C][C]471[/C][C]475.623075966733[/C][C]477.708333333333[/C][C]0.995634873371269[/C][C]0.99027995864722[/C][/ROW]
[ROW][C]13[/C][C]476[/C][C]479.708346989230[/C][C]480.125[/C][C]0.999132198884102[/C][C]0.992269580021894[/C][/ROW]
[ROW][C]14[/C][C]475[/C][C]477.519356878368[/C][C]482.125[/C][C]0.990447201199623[/C][C]0.994724073815902[/C][/ROW]
[ROW][C]15[/C][C]470[/C][C]470.125787890648[/C][C]483.166666666667[/C][C]0.973009564451151[/C][C]0.999732437798802[/C][/ROW]
[ROW][C]16[/C][C]461[/C][C]465.230631073416[/C][C]484.25[/C][C]0.960724070363275[/C][C]0.990906378920806[/C][/ROW]
[ROW][C]17[/C][C]455[/C][C]458.822882093529[/C][C]486.5[/C][C]0.943109726810955[/C][C]0.991668065733587[/C][/ROW]
[ROW][C]18[/C][C]456[/C][C]463.084395627167[/C][C]489.791666666667[/C][C]0.945472181629265[/C][C]0.984701718101357[/C][/ROW]
[ROW][C]19[/C][C]517[/C][C]515.021127020118[/C][C]493.291666666667[/C][C]1.04404992385191[/C][C]1.00384231418104[/C][/ROW]
[ROW][C]20[/C][C]525[/C][C]524.860018733092[/C][C]496.833333333333[/C][C]1.05641063817462[/C][C]1.00026670209563[/C][/ROW]
[ROW][C]21[/C][C]523[/C][C]527.613713310897[/C][C]500.25[/C][C]1.0547000765835[/C][C]0.991255509107327[/C][/ROW]
[ROW][C]22[/C][C]519[/C][C]520.853058765559[/C][C]503.916666666667[/C][C]1.03360950970509[/C][C]0.996442261911736[/C][/ROW]
[ROW][C]23[/C][C]509[/C][C]509.712334428252[/C][C]507.833333333333[/C][C]1.00370003497523[/C][C]0.998602477554224[/C][/ROW]
[ROW][C]24[/C][C]512[/C][C]509.640600806918[/C][C]511.875[/C][C]0.995634873371269[/C][C]1.00462953538110[/C][/ROW]
[ROW][C]25[/C][C]519[/C][C]515.718736657344[/C][C]516.166666666667[/C][C]0.999132198884102[/C][C]1.00636250558575[/C][/ROW]
[ROW][C]26[/C][C]517[/C][C]515.651574124553[/C][C]520.625[/C][C]0.990447201199623[/C][C]1.00261499419979[/C][/ROW]
[ROW][C]27[/C][C]510[/C][C]511.032731662782[/C][C]525.208333333333[/C][C]0.973009564451151[/C][C]0.997979128148168[/C][/ROW]
[ROW][C]28[/C][C]509[/C][C]508.623334918157[/C][C]529.416666666667[/C][C]0.960724070363275[/C][C]1.00074055800429[/C][/ROW]
[ROW][C]29[/C][C]501[/C][C]502.598891913004[/C][C]532.916666666667[/C][C]0.943109726810955[/C][C]0.99681875161539[/C][/ROW]
[ROW][C]30[/C][C]507[/C][C]507.048852072928[/C][C]536.291666666667[/C][C]0.945472181629265[/C][C]0.999903654109997[/C][/ROW]
[ROW][C]31[/C][C]569[/C][C]563.656452639553[/C][C]539.875[/C][C]1.04404992385191[/C][C]1.00948014936301[/C][/ROW]
[ROW][C]32[/C][C]580[/C][C]574.159181847907[/C][C]543.5[/C][C]1.05641063817462[/C][C]1.01017282025046[/C][/ROW]
[ROW][C]33[/C][C]578[/C][C]577.140671073797[/C][C]547.208333333333[/C][C]1.0547000765835[/C][C]1.00148894189800[/C][/ROW]
[ROW][C]34[/C][C]565[/C][C]569.045102155559[/C][C]550.541666666667[/C][C]1.03360950970509[/C][C]0.992891420837758[/C][/ROW]
[ROW][C]35[/C][C]547[/C][C]555.547969358788[/C][C]553.5[/C][C]1.00370003497523[/C][C]0.984613445048402[/C][/ROW]
[ROW][C]36[/C][C]555[/C][C]554.070807031111[/C][C]556.5[/C][C]0.995634873371269[/C][C]1.00167702928416[/C][/ROW]
[ROW][C]37[/C][C]562[/C][C]558.5565296845[/C][C]559.041666666667[/C][C]0.999132198884102[/C][C]1.00616494505479[/C][/ROW]
[ROW][C]38[/C][C]561[/C][C]556.012297573438[/C][C]561.375[/C][C]0.990447201199623[/C][C]1.00897048940883[/C][/ROW]
[ROW][C]39[/C][C]555[/C][C]548.899020546006[/C][C]564.125[/C][C]0.973009564451151[/C][C]1.0111149395893[/C][/ROW]
[ROW][C]40[/C][C]544[/C][C]545.210909931159[/C][C]567.5[/C][C]0.960724070363275[/C][C]0.997779006419164[/C][/ROW]
[ROW][C]41[/C][C]537[/C][C]538.869320156609[/C][C]571.375[/C][C]0.943109726810955[/C][C]0.996531032503269[/C][/ROW]
[ROW][C]42[/C][C]543[/C][C]543.646504436827[/C][C]575[/C][C]0.945472181629265[/C][C]0.998810799974706[/C][/ROW]
[ROW][C]43[/C][C]594[/C][C]603.330349745925[/C][C]577.875[/C][C]1.04404992385191[/C][C]0.984535255437002[/C][/ROW]
[ROW][C]44[/C][C]611[/C][C]612.982272800825[/C][C]580.25[/C][C]1.05641063817462[/C][C]0.996766182500242[/C][/ROW]
[ROW][C]45[/C][C]613[/C][C]614.494632119463[/C][C]582.625[/C][C]1.0547000765835[/C][C]0.997567705165613[/C][/ROW]
[ROW][C]46[/C][C]611[/C][C]604.704630240385[/C][C]585.041666666667[/C][C]1.03360950970509[/C][C]1.01041065248188[/C][/ROW]
[ROW][C]47[/C][C]594[/C][C]589.673770547945[/C][C]587.5[/C][C]1.00370003497523[/C][C]1.00733664895428[/C][/ROW]
[ROW][C]48[/C][C]595[/C][C]587.258636143487[/C][C]589.833333333333[/C][C]0.995634873371269[/C][C]1.01318220521600[/C][/ROW]
[ROW][C]49[/C][C]591[/C][C]591.527892247675[/C][C]592.041666666667[/C][C]0.999132198884102[/C][C]0.999107578434435[/C][/ROW]
[ROW][C]50[/C][C]589[/C][C]588.243100245809[/C][C]593.916666666667[/C][C]0.990447201199623[/C][C]1.00128671250691[/C][/ROW]
[ROW][C]51[/C][C]584[/C][C]579.224485304733[/C][C]595.291666666667[/C][C]0.973009564451151[/C][C]1.00824466992751[/C][/ROW]
[ROW][C]52[/C][C]573[/C][C]572.551515766914[/C][C]595.958333333333[/C][C]0.960724070363275[/C][C]1.00078330808798[/C][/ROW]
[ROW][C]53[/C][C]567[/C][C]562.132693417946[/C][C]596.041666666667[/C][C]0.943109726810955[/C][C]1.00865864348231[/C][/ROW]
[ROW][C]54[/C][C]569[/C][C]563.65899894798[/C][C]596.166666666667[/C][C]0.945472181629265[/C][C]1.00947558907422[/C][/ROW]
[ROW][C]55[/C][C]621[/C][C]622.601771257025[/C][C]596.333333333333[/C][C]1.04404992385191[/C][C]0.99742729408914[/C][/ROW]
[ROW][C]56[/C][C]629[/C][C]630.104928561238[/C][C]596.458333333333[/C][C]1.05641063817462[/C][C]0.998246437202513[/C][/ROW]
[ROW][C]57[/C][C]628[/C][C]628.952812335961[/C][C]596.333333333333[/C][C]1.0547000765835[/C][C]0.998485081364972[/C][/ROW]
[ROW][C]58[/C][C]612[/C][C]616.246603098758[/C][C]596.208333333333[/C][C]1.03360950970509[/C][C]0.993108922503744[/C][/ROW]
[ROW][C]59[/C][C]595[/C][C]598.707070862722[/C][C]596.5[/C][C]1.00370003497523[/C][C]0.99380820597729[/C][/ROW]
[ROW][C]60[/C][C]597[/C][C]594.311049829866[/C][C]596.916666666667[/C][C]0.995634873371269[/C][C]1.00452448287964[/C][/ROW]
[ROW][C]61[/C][C]593[/C][C]596.523553242096[/C][C]597.041666666667[/C][C]0.999132198884102[/C][C]0.994093186726752[/C][/ROW]
[ROW][C]62[/C][C]590[/C][C]591.173173216025[/C][C]596.875[/C][C]0.990447201199623[/C][C]0.99801551682455[/C][/ROW]
[ROW][C]63[/C][C]580[/C][C]580.319121064741[/C][C]596.416666666667[/C][C]0.973009564451151[/C][C]0.999450093830864[/C][/ROW]
[ROW][C]64[/C][C]574[/C][C]571.710882205346[/C][C]595.083333333333[/C][C]0.960724070363275[/C][C]1.0040039779999[/C][/ROW]
[ROW][C]65[/C][C]573[/C][C]559.146179283045[/C][C]592.875[/C][C]0.943109726810955[/C][C]1.02477674216556[/C][/ROW]
[ROW][C]66[/C][C]573[/C][C]557.828587161266[/C][C]590[/C][C]0.945472181629265[/C][C]1.02719726666562[/C][/ROW]
[ROW][C]67[/C][C]620[/C][C]612.857305301074[/C][C]587[/C][C]1.04404992385191[/C][C]1.01165474350578[/C][/ROW]
[ROW][C]68[/C][C]626[/C][C]616.899795584055[/C][C]583.958333333333[/C][C]1.05641063817462[/C][C]1.01475151147899[/C][/ROW]
[ROW][C]69[/C][C]620[/C][C]611.989719437577[/C][C]580.25[/C][C]1.0547000765835[/C][C]1.01308891360101[/C][/ROW]
[ROW][C]70[/C][C]588[/C][C]595.61747996756[/C][C]576.25[/C][C]1.03360950970509[/C][C]0.98721078506968[/C][/ROW]
[ROW][C]71[/C][C]566[/C][C]573.781853327504[/C][C]571.666666666667[/C][C]1.00370003497523[/C][C]0.986437609899345[/C][/ROW]
[ROW][C]72[/C][C]557[/C][C]563.529338328138[/C][C]566[/C][C]0.995634873371269[/C][C]0.988413489974614[/C][/ROW]
[ROW][C]73[/C][C]561[/C][C]559.722183916531[/C][C]560.208333333333[/C][C]0.999132198884102[/C][C]1.00228294700511[/C][/ROW]
[ROW][C]74[/C][C]549[/C][C]549.656928032407[/C][C]554.958333333333[/C][C]0.990447201199623[/C][C]0.998804839893934[/C][/ROW]
[ROW][C]75[/C][C]532[/C][C]534.344419144424[/C][C]549.166666666667[/C][C]0.973009564451151[/C][C]0.995612531804528[/C][/ROW]
[ROW][C]76[/C][C]526[/C][C]522.033441733645[/C][C]543.375[/C][C]0.960724070363275[/C][C]1.00759828384401[/C][/ROW]
[ROW][C]77[/C][C]511[/C][C]507.864587887699[/C][C]538.5[/C][C]0.943109726810955[/C][C]1.00617371674867[/C][/ROW]
[ROW][C]78[/C][C]499[/C][C]505.236697058138[/C][C]534.375[/C][C]0.945472181629265[/C][C]0.987655890606416[/C][/ROW]
[ROW][C]79[/C][C]555[/C][C]554.129497084404[/C][C]530.75[/C][C]1.04404992385191[/C][C]1.00157093769629[/C][/ROW]
[ROW][C]80[/C][C]565[/C][C]556.948491867646[/C][C]527.208333333333[/C][C]1.05641063817462[/C][C]1.01445646814727[/C][/ROW]
[ROW][C]81[/C][C]542[/C][C]552.531002620182[/C][C]523.875[/C][C]1.0547000765835[/C][C]0.980940431269482[/C][/ROW]
[ROW][C]82[/C][C]527[/C][C]538.252152178928[/C][C]520.75[/C][C]1.03360950970509[/C][C]0.979095016836668[/C][/ROW]
[ROW][C]83[/C][C]510[/C][C]519.41476809968[/C][C]517.5[/C][C]1.00370003497523[/C][C]0.98187427720986[/C][/ROW]
[ROW][C]84[/C][C]514[/C][C]512.627505427032[/C][C]514.875[/C][C]0.995634873371269[/C][C]1.00267737208487[/C][/ROW]
[ROW][C]85[/C][C]517[/C][C]512.429926502684[/C][C]512.875[/C][C]0.999132198884102[/C][C]1.00891843598696[/C][/ROW]
[ROW][C]86[/C][C]508[/C][C]505.582027579024[/C][C]510.458333333333[/C][C]0.990447201199623[/C][C]1.00478255216578[/C][/ROW]
[ROW][C]87[/C][C]493[/C][C]494.451027001927[/C][C]508.166666666667[/C][C]0.973009564451151[/C][C]0.997065377716525[/C][/ROW]
[ROW][C]88[/C][C]490[/C][C]486.406590791006[/C][C]506.291666666667[/C][C]0.960724070363275[/C][C]1.00738766553954[/C][/ROW]
[ROW][C]89[/C][C]469[/C][C]476.349004516766[/C][C]505.083333333333[/C][C]0.943109726810955[/C][C]0.984572226566903[/C][/ROW]
[ROW][C]90[/C][C]478[/C][C]477.305873025841[/C][C]504.833333333333[/C][C]0.945472181629265[/C][C]1.00145426028337[/C][/ROW]
[ROW][C]91[/C][C]528[/C][C]527.636730266661[/C][C]505.375[/C][C]1.04404992385191[/C][C]1.00068848454344[/C][/ROW]
[ROW][C]92[/C][C]534[/C][C]NA[/C][C]NA[/C][C]1.05641063817462[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]518[/C][C]NA[/C][C]NA[/C][C]1.0547000765835[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]506[/C][C]NA[/C][C]NA[/C][C]1.03360950970509[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]502[/C][C]NA[/C][C]NA[/C][C]1.00370003497523[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]516[/C][C]NA[/C][C]NA[/C][C]0.995634873371269[/C][C]NA[/C][/ROW]
[ROW][C]97[/C][C]528[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41201&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
1467NANA0.999132198884102NA
2460NANA0.990447201199623NA
3448NANA0.973009564451151NA
4443NANA0.960724070363275NA
5436NANA0.943109726810955NA
6431NANA0.945472181629265NA
7484490.833970450881470.1251.044049923851910.98607681851237
8510497.701461910019471.1251.056410638174621.02471067302632
9513498.521569531802472.6666666666671.05470007658351.02904273626876
10503490.27544410345474.3333333333331.033609509705091.02595389193889
11471477.635754143836475.8751.003700034975230.986107082465528
12471475.623075966733477.7083333333330.9956348733712690.99027995864722
13476479.708346989230480.1250.9991321988841020.992269580021894
14475477.519356878368482.1250.9904472011996230.994724073815902
15470470.125787890648483.1666666666670.9730095644511510.999732437798802
16461465.230631073416484.250.9607240703632750.990906378920806
17455458.822882093529486.50.9431097268109550.991668065733587
18456463.084395627167489.7916666666670.9454721816292650.984701718101357
19517515.021127020118493.2916666666671.044049923851911.00384231418104
20525524.860018733092496.8333333333331.056410638174621.00026670209563
21523527.613713310897500.251.05470007658350.991255509107327
22519520.853058765559503.9166666666671.033609509705090.996442261911736
23509509.712334428252507.8333333333331.003700034975230.998602477554224
24512509.640600806918511.8750.9956348733712691.00462953538110
25519515.718736657344516.1666666666670.9991321988841021.00636250558575
26517515.651574124553520.6250.9904472011996231.00261499419979
27510511.032731662782525.2083333333330.9730095644511510.997979128148168
28509508.623334918157529.4166666666670.9607240703632751.00074055800429
29501502.598891913004532.9166666666670.9431097268109550.99681875161539
30507507.048852072928536.2916666666670.9454721816292650.999903654109997
31569563.656452639553539.8751.044049923851911.00948014936301
32580574.159181847907543.51.056410638174621.01017282025046
33578577.140671073797547.2083333333331.05470007658351.00148894189800
34565569.045102155559550.5416666666671.033609509705090.992891420837758
35547555.547969358788553.51.003700034975230.984613445048402
36555554.070807031111556.50.9956348733712691.00167702928416
37562558.5565296845559.0416666666670.9991321988841021.00616494505479
38561556.012297573438561.3750.9904472011996231.00897048940883
39555548.899020546006564.1250.9730095644511511.0111149395893
40544545.210909931159567.50.9607240703632750.997779006419164
41537538.869320156609571.3750.9431097268109550.996531032503269
42543543.6465044368275750.9454721816292650.998810799974706
43594603.330349745925577.8751.044049923851910.984535255437002
44611612.982272800825580.251.056410638174620.996766182500242
45613614.494632119463582.6251.05470007658350.997567705165613
46611604.704630240385585.0416666666671.033609509705091.01041065248188
47594589.673770547945587.51.003700034975231.00733664895428
48595587.258636143487589.8333333333330.9956348733712691.01318220521600
49591591.527892247675592.0416666666670.9991321988841020.999107578434435
50589588.243100245809593.9166666666670.9904472011996231.00128671250691
51584579.224485304733595.2916666666670.9730095644511511.00824466992751
52573572.551515766914595.9583333333330.9607240703632751.00078330808798
53567562.132693417946596.0416666666670.9431097268109551.00865864348231
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93518NANA1.0547000765835NA
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97528NANANANA



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')