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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 04 Jun 2009 02:29:36 -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/04/t1244104302i8x3vki45c7qlnc.htm/, Retrieved Tue, 14 May 2024 05:46:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41540, Retrieved Tue, 14 May 2024 05:46:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact174
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [MULTIPLICATIEF MO...] [2009-06-04 08:29:36] [cec0b6ecf0cab4e1552eba4b21b592a6] [Current]
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Dataseries X:
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
533
536




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41540&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41540&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41540&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1509NANA0.964282792278105NA
2501NANA0.947199384523121NA
3507NANA0.950306185176819NA
4569NANA1.04339036178599NA
5580NANA1.06115357635289NA
6578NANA1.04512323603582NA
7565564.910990486354550.5416666666671.026100338429771.00015756378464
8547550.551007441081553.50.9946721001645550.993550084564215
9555555.338743956228556.50.9979132865341030.999390022828562
10562559.84506857718559.0416666666671.001437105601281.0038491567467
11561557.438781654084561.3750.9929882550061631.00638853711496
12555550.266354427088564.1250.975433378111391.00860246230726
13544547.230484617824567.50.9642827922781050.994096665466142
14537541.206048331898571.3750.9471993845231210.992228378923587
15543546.426056476675750.9503061851768190.993730063864887
16594602.94920531708577.8751.043390361785990.985157613214907
17611615.734362678762580.251.061153576352890.992311030590911
18613608.914925395372582.6251.045123236035821.00670877725977
19611600.311452162181585.0416666666671.026100338429771.01780500405135
20594584.369858846676587.50.9946721001645551.01647953091272
21595588.602520174032589.8333333333330.9979132865341031.01086893040158
22591592.892493062022592.0416666666671.001437105601280.996808033354837
23589589.75227445241593.9166666666670.9929882550061630.998724422973852
24584580.667361378227595.2916666666670.975433378111391.00573932485866
25573574.672365748072595.9583333333330.9642827922781050.997089879646648
26567564.570299816802596.0416666666670.9471993845231211.00430362734984
27569566.54087072958596.1666666666670.9503061851768191.00434060347183
28621622.208452411714596.3333333333331.043390361785990.99805780135736
29629632.933893562148596.4583333333331.061153576352890.993784669138181
30628623.241823089363596.3333333333331.045123236035821.00763455970758
31612611.76957260798596.2083333333331.026100338429771.00037665716364
32595593.321907748157596.50.9946721001645551.00282829983173
33597595.671072620315596.9166666666670.9979132865341031.00223097518206
34593597.899678590028597.0416666666671.001437105601280.991805182766476
35590592.689864706803596.8750.9929882550061630.995461598270904
36580581.764723928602596.4166666666670.975433378111390.996966602036842
37574573.828618304829595.0833333333330.9642827922781051.00029866355512
38573561.570835099145592.8750.9471993845231211.02035213402569
39573560.6806492543235900.9503061851768191.02197213469390
40620612.4701423683785871.043390361785991.01229424442227
41626619.669473857737583.9583333333331.061153576352891.01021597223896
42620606.432757709787580.251.045123236035821.02237221211705
43588591.290320020153576.251.026100338429770.99443535618841
44566568.620883927404571.6666666666670.9946721001645550.995390806068709
45557564.8189201783035660.9979132865341030.98615676653354
46561561.013411867048560.2083333333331.001437105601280.999976093500148
47549551.067107017795554.9583333333330.9929882550061630.996248901465047
48532535.675496812839549.1666666666670.975433378111390.993138575808102
49526523.967162254115543.3750.9642827922781051.00387970447831
50511510.066868565701538.50.9471993845231211.00182942961366
51499507.819867703862534.3750.9503061851768190.982631897125763
52555553.779434517915530.751.043390361785991.00220406430070
53565559.449008399711527.2083333333331.061153576352891.00992224763463
54542547.513935278267523.8751.045123236035820.989929141665654
55527534.341751237301520.751.026100338429770.986260195426802
56510514.742811835157517.50.9946721001645550.990786055237473
57514513.800603404246514.8750.9979132865341031.0003880816691
58517513.612055535254512.8751.001437105601281.00659631024668
59508506.879129670021510.4583333333330.9929882550061631.00221131679008
60493495.682728310272508.1666666666670.975433378111390.994587811603973
61490488.208342040469506.2916666666670.9642827922781051.00366986346862
62469478.41462246622505.0833333333330.9471993845231210.98032120670207
63478479.746239150097504.8333333333330.9503061851768190.99636007745847
64528527.303404087596505.3751.043390361785991.00132105331960
65534537.872219013869506.8751.061153576352890.992800857012158
66518532.70802276776509.7083333333331.045123236035820.972390085864781
67506NANA1.02610033842977NA
68502NANA0.994672100164555NA
69516NANA0.997913286534103NA
70528NANA1.00143710560128NA
71533NANA0.992988255006163NA
72536NANA0.97543337811139NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 509 & NA & NA & 0.964282792278105 & NA \tabularnewline
2 & 501 & NA & NA & 0.947199384523121 & NA \tabularnewline
3 & 507 & NA & NA & 0.950306185176819 & NA \tabularnewline
4 & 569 & NA & NA & 1.04339036178599 & NA \tabularnewline
5 & 580 & NA & NA & 1.06115357635289 & NA \tabularnewline
6 & 578 & NA & NA & 1.04512323603582 & NA \tabularnewline
7 & 565 & 564.910990486354 & 550.541666666667 & 1.02610033842977 & 1.00015756378464 \tabularnewline
8 & 547 & 550.551007441081 & 553.5 & 0.994672100164555 & 0.993550084564215 \tabularnewline
9 & 555 & 555.338743956228 & 556.5 & 0.997913286534103 & 0.999390022828562 \tabularnewline
10 & 562 & 559.84506857718 & 559.041666666667 & 1.00143710560128 & 1.0038491567467 \tabularnewline
11 & 561 & 557.438781654084 & 561.375 & 0.992988255006163 & 1.00638853711496 \tabularnewline
12 & 555 & 550.266354427088 & 564.125 & 0.97543337811139 & 1.00860246230726 \tabularnewline
13 & 544 & 547.230484617824 & 567.5 & 0.964282792278105 & 0.994096665466142 \tabularnewline
14 & 537 & 541.206048331898 & 571.375 & 0.947199384523121 & 0.992228378923587 \tabularnewline
15 & 543 & 546.42605647667 & 575 & 0.950306185176819 & 0.993730063864887 \tabularnewline
16 & 594 & 602.94920531708 & 577.875 & 1.04339036178599 & 0.985157613214907 \tabularnewline
17 & 611 & 615.734362678762 & 580.25 & 1.06115357635289 & 0.992311030590911 \tabularnewline
18 & 613 & 608.914925395372 & 582.625 & 1.04512323603582 & 1.00670877725977 \tabularnewline
19 & 611 & 600.311452162181 & 585.041666666667 & 1.02610033842977 & 1.01780500405135 \tabularnewline
20 & 594 & 584.369858846676 & 587.5 & 0.994672100164555 & 1.01647953091272 \tabularnewline
21 & 595 & 588.602520174032 & 589.833333333333 & 0.997913286534103 & 1.01086893040158 \tabularnewline
22 & 591 & 592.892493062022 & 592.041666666667 & 1.00143710560128 & 0.996808033354837 \tabularnewline
23 & 589 & 589.75227445241 & 593.916666666667 & 0.992988255006163 & 0.998724422973852 \tabularnewline
24 & 584 & 580.667361378227 & 595.291666666667 & 0.97543337811139 & 1.00573932485866 \tabularnewline
25 & 573 & 574.672365748072 & 595.958333333333 & 0.964282792278105 & 0.997089879646648 \tabularnewline
26 & 567 & 564.570299816802 & 596.041666666667 & 0.947199384523121 & 1.00430362734984 \tabularnewline
27 & 569 & 566.54087072958 & 596.166666666667 & 0.950306185176819 & 1.00434060347183 \tabularnewline
28 & 621 & 622.208452411714 & 596.333333333333 & 1.04339036178599 & 0.99805780135736 \tabularnewline
29 & 629 & 632.933893562148 & 596.458333333333 & 1.06115357635289 & 0.993784669138181 \tabularnewline
30 & 628 & 623.241823089363 & 596.333333333333 & 1.04512323603582 & 1.00763455970758 \tabularnewline
31 & 612 & 611.76957260798 & 596.208333333333 & 1.02610033842977 & 1.00037665716364 \tabularnewline
32 & 595 & 593.321907748157 & 596.5 & 0.994672100164555 & 1.00282829983173 \tabularnewline
33 & 597 & 595.671072620315 & 596.916666666667 & 0.997913286534103 & 1.00223097518206 \tabularnewline
34 & 593 & 597.899678590028 & 597.041666666667 & 1.00143710560128 & 0.991805182766476 \tabularnewline
35 & 590 & 592.689864706803 & 596.875 & 0.992988255006163 & 0.995461598270904 \tabularnewline
36 & 580 & 581.764723928602 & 596.416666666667 & 0.97543337811139 & 0.996966602036842 \tabularnewline
37 & 574 & 573.828618304829 & 595.083333333333 & 0.964282792278105 & 1.00029866355512 \tabularnewline
38 & 573 & 561.570835099145 & 592.875 & 0.947199384523121 & 1.02035213402569 \tabularnewline
39 & 573 & 560.680649254323 & 590 & 0.950306185176819 & 1.02197213469390 \tabularnewline
40 & 620 & 612.470142368378 & 587 & 1.04339036178599 & 1.01229424442227 \tabularnewline
41 & 626 & 619.669473857737 & 583.958333333333 & 1.06115357635289 & 1.01021597223896 \tabularnewline
42 & 620 & 606.432757709787 & 580.25 & 1.04512323603582 & 1.02237221211705 \tabularnewline
43 & 588 & 591.290320020153 & 576.25 & 1.02610033842977 & 0.99443535618841 \tabularnewline
44 & 566 & 568.620883927404 & 571.666666666667 & 0.994672100164555 & 0.995390806068709 \tabularnewline
45 & 557 & 564.818920178303 & 566 & 0.997913286534103 & 0.98615676653354 \tabularnewline
46 & 561 & 561.013411867048 & 560.208333333333 & 1.00143710560128 & 0.999976093500148 \tabularnewline
47 & 549 & 551.067107017795 & 554.958333333333 & 0.992988255006163 & 0.996248901465047 \tabularnewline
48 & 532 & 535.675496812839 & 549.166666666667 & 0.97543337811139 & 0.993138575808102 \tabularnewline
49 & 526 & 523.967162254115 & 543.375 & 0.964282792278105 & 1.00387970447831 \tabularnewline
50 & 511 & 510.066868565701 & 538.5 & 0.947199384523121 & 1.00182942961366 \tabularnewline
51 & 499 & 507.819867703862 & 534.375 & 0.950306185176819 & 0.982631897125763 \tabularnewline
52 & 555 & 553.779434517915 & 530.75 & 1.04339036178599 & 1.00220406430070 \tabularnewline
53 & 565 & 559.449008399711 & 527.208333333333 & 1.06115357635289 & 1.00992224763463 \tabularnewline
54 & 542 & 547.513935278267 & 523.875 & 1.04512323603582 & 0.989929141665654 \tabularnewline
55 & 527 & 534.341751237301 & 520.75 & 1.02610033842977 & 0.986260195426802 \tabularnewline
56 & 510 & 514.742811835157 & 517.5 & 0.994672100164555 & 0.990786055237473 \tabularnewline
57 & 514 & 513.800603404246 & 514.875 & 0.997913286534103 & 1.0003880816691 \tabularnewline
58 & 517 & 513.612055535254 & 512.875 & 1.00143710560128 & 1.00659631024668 \tabularnewline
59 & 508 & 506.879129670021 & 510.458333333333 & 0.992988255006163 & 1.00221131679008 \tabularnewline
60 & 493 & 495.682728310272 & 508.166666666667 & 0.97543337811139 & 0.994587811603973 \tabularnewline
61 & 490 & 488.208342040469 & 506.291666666667 & 0.964282792278105 & 1.00366986346862 \tabularnewline
62 & 469 & 478.41462246622 & 505.083333333333 & 0.947199384523121 & 0.98032120670207 \tabularnewline
63 & 478 & 479.746239150097 & 504.833333333333 & 0.950306185176819 & 0.99636007745847 \tabularnewline
64 & 528 & 527.303404087596 & 505.375 & 1.04339036178599 & 1.00132105331960 \tabularnewline
65 & 534 & 537.872219013869 & 506.875 & 1.06115357635289 & 0.992800857012158 \tabularnewline
66 & 518 & 532.70802276776 & 509.708333333333 & 1.04512323603582 & 0.972390085864781 \tabularnewline
67 & 506 & NA & NA & 1.02610033842977 & NA \tabularnewline
68 & 502 & NA & NA & 0.994672100164555 & NA \tabularnewline
69 & 516 & NA & NA & 0.997913286534103 & NA \tabularnewline
70 & 528 & NA & NA & 1.00143710560128 & NA \tabularnewline
71 & 533 & NA & NA & 0.992988255006163 & NA \tabularnewline
72 & 536 & NA & NA & 0.97543337811139 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41540&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]509[/C][C]NA[/C][C]NA[/C][C]0.964282792278105[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]501[/C][C]NA[/C][C]NA[/C][C]0.947199384523121[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]507[/C][C]NA[/C][C]NA[/C][C]0.950306185176819[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]569[/C][C]NA[/C][C]NA[/C][C]1.04339036178599[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]580[/C][C]NA[/C][C]NA[/C][C]1.06115357635289[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]578[/C][C]NA[/C][C]NA[/C][C]1.04512323603582[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]565[/C][C]564.910990486354[/C][C]550.541666666667[/C][C]1.02610033842977[/C][C]1.00015756378464[/C][/ROW]
[ROW][C]8[/C][C]547[/C][C]550.551007441081[/C][C]553.5[/C][C]0.994672100164555[/C][C]0.993550084564215[/C][/ROW]
[ROW][C]9[/C][C]555[/C][C]555.338743956228[/C][C]556.5[/C][C]0.997913286534103[/C][C]0.999390022828562[/C][/ROW]
[ROW][C]10[/C][C]562[/C][C]559.84506857718[/C][C]559.041666666667[/C][C]1.00143710560128[/C][C]1.0038491567467[/C][/ROW]
[ROW][C]11[/C][C]561[/C][C]557.438781654084[/C][C]561.375[/C][C]0.992988255006163[/C][C]1.00638853711496[/C][/ROW]
[ROW][C]12[/C][C]555[/C][C]550.266354427088[/C][C]564.125[/C][C]0.97543337811139[/C][C]1.00860246230726[/C][/ROW]
[ROW][C]13[/C][C]544[/C][C]547.230484617824[/C][C]567.5[/C][C]0.964282792278105[/C][C]0.994096665466142[/C][/ROW]
[ROW][C]14[/C][C]537[/C][C]541.206048331898[/C][C]571.375[/C][C]0.947199384523121[/C][C]0.992228378923587[/C][/ROW]
[ROW][C]15[/C][C]543[/C][C]546.42605647667[/C][C]575[/C][C]0.950306185176819[/C][C]0.993730063864887[/C][/ROW]
[ROW][C]16[/C][C]594[/C][C]602.94920531708[/C][C]577.875[/C][C]1.04339036178599[/C][C]0.985157613214907[/C][/ROW]
[ROW][C]17[/C][C]611[/C][C]615.734362678762[/C][C]580.25[/C][C]1.06115357635289[/C][C]0.992311030590911[/C][/ROW]
[ROW][C]18[/C][C]613[/C][C]608.914925395372[/C][C]582.625[/C][C]1.04512323603582[/C][C]1.00670877725977[/C][/ROW]
[ROW][C]19[/C][C]611[/C][C]600.311452162181[/C][C]585.041666666667[/C][C]1.02610033842977[/C][C]1.01780500405135[/C][/ROW]
[ROW][C]20[/C][C]594[/C][C]584.369858846676[/C][C]587.5[/C][C]0.994672100164555[/C][C]1.01647953091272[/C][/ROW]
[ROW][C]21[/C][C]595[/C][C]588.602520174032[/C][C]589.833333333333[/C][C]0.997913286534103[/C][C]1.01086893040158[/C][/ROW]
[ROW][C]22[/C][C]591[/C][C]592.892493062022[/C][C]592.041666666667[/C][C]1.00143710560128[/C][C]0.996808033354837[/C][/ROW]
[ROW][C]23[/C][C]589[/C][C]589.75227445241[/C][C]593.916666666667[/C][C]0.992988255006163[/C][C]0.998724422973852[/C][/ROW]
[ROW][C]24[/C][C]584[/C][C]580.667361378227[/C][C]595.291666666667[/C][C]0.97543337811139[/C][C]1.00573932485866[/C][/ROW]
[ROW][C]25[/C][C]573[/C][C]574.672365748072[/C][C]595.958333333333[/C][C]0.964282792278105[/C][C]0.997089879646648[/C][/ROW]
[ROW][C]26[/C][C]567[/C][C]564.570299816802[/C][C]596.041666666667[/C][C]0.947199384523121[/C][C]1.00430362734984[/C][/ROW]
[ROW][C]27[/C][C]569[/C][C]566.54087072958[/C][C]596.166666666667[/C][C]0.950306185176819[/C][C]1.00434060347183[/C][/ROW]
[ROW][C]28[/C][C]621[/C][C]622.208452411714[/C][C]596.333333333333[/C][C]1.04339036178599[/C][C]0.99805780135736[/C][/ROW]
[ROW][C]29[/C][C]629[/C][C]632.933893562148[/C][C]596.458333333333[/C][C]1.06115357635289[/C][C]0.993784669138181[/C][/ROW]
[ROW][C]30[/C][C]628[/C][C]623.241823089363[/C][C]596.333333333333[/C][C]1.04512323603582[/C][C]1.00763455970758[/C][/ROW]
[ROW][C]31[/C][C]612[/C][C]611.76957260798[/C][C]596.208333333333[/C][C]1.02610033842977[/C][C]1.00037665716364[/C][/ROW]
[ROW][C]32[/C][C]595[/C][C]593.321907748157[/C][C]596.5[/C][C]0.994672100164555[/C][C]1.00282829983173[/C][/ROW]
[ROW][C]33[/C][C]597[/C][C]595.671072620315[/C][C]596.916666666667[/C][C]0.997913286534103[/C][C]1.00223097518206[/C][/ROW]
[ROW][C]34[/C][C]593[/C][C]597.899678590028[/C][C]597.041666666667[/C][C]1.00143710560128[/C][C]0.991805182766476[/C][/ROW]
[ROW][C]35[/C][C]590[/C][C]592.689864706803[/C][C]596.875[/C][C]0.992988255006163[/C][C]0.995461598270904[/C][/ROW]
[ROW][C]36[/C][C]580[/C][C]581.764723928602[/C][C]596.416666666667[/C][C]0.97543337811139[/C][C]0.996966602036842[/C][/ROW]
[ROW][C]37[/C][C]574[/C][C]573.828618304829[/C][C]595.083333333333[/C][C]0.964282792278105[/C][C]1.00029866355512[/C][/ROW]
[ROW][C]38[/C][C]573[/C][C]561.570835099145[/C][C]592.875[/C][C]0.947199384523121[/C][C]1.02035213402569[/C][/ROW]
[ROW][C]39[/C][C]573[/C][C]560.680649254323[/C][C]590[/C][C]0.950306185176819[/C][C]1.02197213469390[/C][/ROW]
[ROW][C]40[/C][C]620[/C][C]612.470142368378[/C][C]587[/C][C]1.04339036178599[/C][C]1.01229424442227[/C][/ROW]
[ROW][C]41[/C][C]626[/C][C]619.669473857737[/C][C]583.958333333333[/C][C]1.06115357635289[/C][C]1.01021597223896[/C][/ROW]
[ROW][C]42[/C][C]620[/C][C]606.432757709787[/C][C]580.25[/C][C]1.04512323603582[/C][C]1.02237221211705[/C][/ROW]
[ROW][C]43[/C][C]588[/C][C]591.290320020153[/C][C]576.25[/C][C]1.02610033842977[/C][C]0.99443535618841[/C][/ROW]
[ROW][C]44[/C][C]566[/C][C]568.620883927404[/C][C]571.666666666667[/C][C]0.994672100164555[/C][C]0.995390806068709[/C][/ROW]
[ROW][C]45[/C][C]557[/C][C]564.818920178303[/C][C]566[/C][C]0.997913286534103[/C][C]0.98615676653354[/C][/ROW]
[ROW][C]46[/C][C]561[/C][C]561.013411867048[/C][C]560.208333333333[/C][C]1.00143710560128[/C][C]0.999976093500148[/C][/ROW]
[ROW][C]47[/C][C]549[/C][C]551.067107017795[/C][C]554.958333333333[/C][C]0.992988255006163[/C][C]0.996248901465047[/C][/ROW]
[ROW][C]48[/C][C]532[/C][C]535.675496812839[/C][C]549.166666666667[/C][C]0.97543337811139[/C][C]0.993138575808102[/C][/ROW]
[ROW][C]49[/C][C]526[/C][C]523.967162254115[/C][C]543.375[/C][C]0.964282792278105[/C][C]1.00387970447831[/C][/ROW]
[ROW][C]50[/C][C]511[/C][C]510.066868565701[/C][C]538.5[/C][C]0.947199384523121[/C][C]1.00182942961366[/C][/ROW]
[ROW][C]51[/C][C]499[/C][C]507.819867703862[/C][C]534.375[/C][C]0.950306185176819[/C][C]0.982631897125763[/C][/ROW]
[ROW][C]52[/C][C]555[/C][C]553.779434517915[/C][C]530.75[/C][C]1.04339036178599[/C][C]1.00220406430070[/C][/ROW]
[ROW][C]53[/C][C]565[/C][C]559.449008399711[/C][C]527.208333333333[/C][C]1.06115357635289[/C][C]1.00992224763463[/C][/ROW]
[ROW][C]54[/C][C]542[/C][C]547.513935278267[/C][C]523.875[/C][C]1.04512323603582[/C][C]0.989929141665654[/C][/ROW]
[ROW][C]55[/C][C]527[/C][C]534.341751237301[/C][C]520.75[/C][C]1.02610033842977[/C][C]0.986260195426802[/C][/ROW]
[ROW][C]56[/C][C]510[/C][C]514.742811835157[/C][C]517.5[/C][C]0.994672100164555[/C][C]0.990786055237473[/C][/ROW]
[ROW][C]57[/C][C]514[/C][C]513.800603404246[/C][C]514.875[/C][C]0.997913286534103[/C][C]1.0003880816691[/C][/ROW]
[ROW][C]58[/C][C]517[/C][C]513.612055535254[/C][C]512.875[/C][C]1.00143710560128[/C][C]1.00659631024668[/C][/ROW]
[ROW][C]59[/C][C]508[/C][C]506.879129670021[/C][C]510.458333333333[/C][C]0.992988255006163[/C][C]1.00221131679008[/C][/ROW]
[ROW][C]60[/C][C]493[/C][C]495.682728310272[/C][C]508.166666666667[/C][C]0.97543337811139[/C][C]0.994587811603973[/C][/ROW]
[ROW][C]61[/C][C]490[/C][C]488.208342040469[/C][C]506.291666666667[/C][C]0.964282792278105[/C][C]1.00366986346862[/C][/ROW]
[ROW][C]62[/C][C]469[/C][C]478.41462246622[/C][C]505.083333333333[/C][C]0.947199384523121[/C][C]0.98032120670207[/C][/ROW]
[ROW][C]63[/C][C]478[/C][C]479.746239150097[/C][C]504.833333333333[/C][C]0.950306185176819[/C][C]0.99636007745847[/C][/ROW]
[ROW][C]64[/C][C]528[/C][C]527.303404087596[/C][C]505.375[/C][C]1.04339036178599[/C][C]1.00132105331960[/C][/ROW]
[ROW][C]65[/C][C]534[/C][C]537.872219013869[/C][C]506.875[/C][C]1.06115357635289[/C][C]0.992800857012158[/C][/ROW]
[ROW][C]66[/C][C]518[/C][C]532.70802276776[/C][C]509.708333333333[/C][C]1.04512323603582[/C][C]0.972390085864781[/C][/ROW]
[ROW][C]67[/C][C]506[/C][C]NA[/C][C]NA[/C][C]1.02610033842977[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]502[/C][C]NA[/C][C]NA[/C][C]0.994672100164555[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]516[/C][C]NA[/C][C]NA[/C][C]0.997913286534103[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]528[/C][C]NA[/C][C]NA[/C][C]1.00143710560128[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]533[/C][C]NA[/C][C]NA[/C][C]0.992988255006163[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]536[/C][C]NA[/C][C]NA[/C][C]0.97543337811139[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41540&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41540&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
1509NANA0.964282792278105NA
2501NANA0.947199384523121NA
3507NANA0.950306185176819NA
4569NANA1.04339036178599NA
5580NANA1.06115357635289NA
6578NANA1.04512323603582NA
7565564.910990486354550.5416666666671.026100338429771.00015756378464
8547550.551007441081553.50.9946721001645550.993550084564215
9555555.338743956228556.50.9979132865341030.999390022828562
10562559.84506857718559.0416666666671.001437105601281.0038491567467
11561557.438781654084561.3750.9929882550061631.00638853711496
12555550.266354427088564.1250.975433378111391.00860246230726
13544547.230484617824567.50.9642827922781050.994096665466142
14537541.206048331898571.3750.9471993845231210.992228378923587
15543546.426056476675750.9503061851768190.993730063864887
16594602.94920531708577.8751.043390361785990.985157613214907
17611615.734362678762580.251.061153576352890.992311030590911
18613608.914925395372582.6251.045123236035821.00670877725977
19611600.311452162181585.0416666666671.026100338429771.01780500405135
20594584.369858846676587.50.9946721001645551.01647953091272
21595588.602520174032589.8333333333330.9979132865341031.01086893040158
22591592.892493062022592.0416666666671.001437105601280.996808033354837
23589589.75227445241593.9166666666670.9929882550061630.998724422973852
24584580.667361378227595.2916666666670.975433378111391.00573932485866
25573574.672365748072595.9583333333330.9642827922781050.997089879646648
26567564.570299816802596.0416666666670.9471993845231211.00430362734984
27569566.54087072958596.1666666666670.9503061851768191.00434060347183
28621622.208452411714596.3333333333331.043390361785990.99805780135736
29629632.933893562148596.4583333333331.061153576352890.993784669138181
30628623.241823089363596.3333333333331.045123236035821.00763455970758
31612611.76957260798596.2083333333331.026100338429771.00037665716364
32595593.321907748157596.50.9946721001645551.00282829983173
33597595.671072620315596.9166666666670.9979132865341031.00223097518206
34593597.899678590028597.0416666666671.001437105601280.991805182766476
35590592.689864706803596.8750.9929882550061630.995461598270904
36580581.764723928602596.4166666666670.975433378111390.996966602036842
37574573.828618304829595.0833333333330.9642827922781051.00029866355512
38573561.570835099145592.8750.9471993845231211.02035213402569
39573560.6806492543235900.9503061851768191.02197213469390
40620612.4701423683785871.043390361785991.01229424442227
41626619.669473857737583.9583333333331.061153576352891.01021597223896
42620606.432757709787580.251.045123236035821.02237221211705
43588591.290320020153576.251.026100338429770.99443535618841
44566568.620883927404571.6666666666670.9946721001645550.995390806068709
45557564.8189201783035660.9979132865341030.98615676653354
46561561.013411867048560.2083333333331.001437105601280.999976093500148
47549551.067107017795554.9583333333330.9929882550061630.996248901465047
48532535.675496812839549.1666666666670.975433378111390.993138575808102
49526523.967162254115543.3750.9642827922781051.00387970447831
50511510.066868565701538.50.9471993845231211.00182942961366
51499507.819867703862534.3750.9503061851768190.982631897125763
52555553.779434517915530.751.043390361785991.00220406430070
53565559.449008399711527.2083333333331.061153576352891.00992224763463
54542547.513935278267523.8751.045123236035820.989929141665654
55527534.341751237301520.751.026100338429770.986260195426802
56510514.742811835157517.50.9946721001645550.990786055237473
57514513.800603404246514.8750.9979132865341031.0003880816691
58517513.612055535254512.8751.001437105601281.00659631024668
59508506.879129670021510.4583333333330.9929882550061631.00221131679008
60493495.682728310272508.1666666666670.975433378111390.994587811603973
61490488.208342040469506.2916666666670.9642827922781051.00366986346862
62469478.41462246622505.0833333333330.9471993845231210.98032120670207
63478479.746239150097504.8333333333330.9503061851768190.99636007745847
64528527.303404087596505.3751.043390361785991.00132105331960
65534537.872219013869506.8751.061153576352890.992800857012158
66518532.70802276776509.7083333333331.045123236035820.972390085864781
67506NANA1.02610033842977NA
68502NANA0.994672100164555NA
69516NANA0.997913286534103NA
70528NANA1.00143710560128NA
71533NANA0.992988255006163NA
72536NANA0.97543337811139NA



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')