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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 Dec 2009 07:52:45 -0700
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/Dec/04/t1259938402rdii7c5xgzy4o9a.htm/, Retrieved Sun, 28 Apr 2024 04:46:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63672, Retrieved Sun, 28 Apr 2024 04:46:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D      [Classical Decomposition] [] [2009-12-04 14:52:45] [6974478841a4d28b8cb590971bfdefb0] [Current]
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Dataseries X:
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
537
524
536
587
597
581




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63672&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]1 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=63672&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63672&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1611NANA1.01278704277029NA
2594NANA0.98734048089932NA
3595NANA0.994231652685714NA
4591NANA1.00268920542598NA
5589NANA0.995194953550897NA
6584NANA0.978728192154513NA
7573576.348475910581595.9583333333330.9670952542721070.994190188660965
8567566.481083718841596.0416666666670.9504051736632081.00091603461452
9569568.24527521143596.1666666666670.9531651247605761.00132816729235
10621625.416032575288596.3333333333331.048769199399590.992939048017198
11629635.062953296907596.4583333333331.064723079226390.990452988533764
12628623.091192363818596.3333333333331.044870641191421.00787815282312
13612603.832074791668596.2083333333331.012787042770291.01352681573126
14595588.948596856444596.50.987340480899321.01027492581841
15597593.473444015647596.9166666666670.9942316526857141.00594223047368
16593598.647234356201597.0416666666671.002689205425980.990566674274751
17590594.006987900692596.8750.9951949535508970.993254308480691
18580583.729805937487596.4166666666670.9787281921545130.993610389773575
19574575.502267563093595.0833333333330.9670952542721070.99738964093147
20573563.471467335574592.8750.9504051736632081.01691040845330
21573562.367423608745900.9531651247605761.01890681420170
22620615.6275200475595871.048769199399591.00710247643267
23626621.753914806577583.9583333333331.064723079226391.00682920540154
24620606.286189551323580.251.044870641191421.02261936802292
25588583.618533396378576.251.012787042770291.00750741512290
26566564.429641580778571.6666666666670.987340480899321.00278220402250
27557562.7351154201145660.9942316526857140.989808499126925
28561561.714848623011560.2083333333331.002689205425980.998727381651449
29549552.29173276435554.9583333333330.9951949535508970.994039865945713
30532537.484898858187549.1666666666670.9787281921545130.989795250304076
31526525.495383790106543.3750.9670952542721071.00096026763595
32511511.793186017637538.50.9504051736632080.998450182536017
33499509.347613543933534.3750.9531651247605760.979684574406983
34555556.634252581332530.751.048769199399590.997064045962401
35565561.33088006048527.2083333333331.064723079226391.00653646551411
36542547.381607154156523.8751.044870641191420.990168454541
37527527.408852522626520.751.012787042770290.999224790178112
38510510.948698865398517.50.987340480899320.998143260042536
39514511.905022176557514.8750.9942316526857141.0040925127371
40517514.254226232848512.8751.002689205425981.00533933145726
41508508.005557331335510.4583333333330.9951949535508970.999989060491062
42493497.357042979851508.1666666666670.9787281921545130.991239607357831
43490489.632268110849506.2916666666670.9670952542721071.00075103687625
44469480.033813131058505.0833333333330.9504051736632080.977014508500788
45478481.189527149964504.8333333333330.9531651247605760.993371578203592
46528530.021734146567505.3751.048769199399590.99618556369236
47534539.681510782876506.8751.064723079226390.98947247465522
48518532.579273070611509.7083333333331.044870641191420.972625158717586
49506520.023947002427513.4583333333331.012787042770290.97303211307236
50502511.154394798918517.7083333333330.987340480899320.982090744221187
51516519.403185890562522.4166666666670.9942316526857140.99344789176692
52528528.709662277740527.2916666666671.002689205425980.998657746721173
53533529.816913396659532.3750.9951949535508971.00600789918716
54536526.18874430707537.6250.9787281921545131.01864588666915
55537NANA0.967095254272107NA
56524NANA0.950405173663208NA
57536NANA0.953165124760576NA
58587NANA1.04876919939959NA
59597NANA1.06472307922639NA
60581NANA1.04487064119142NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 611 & NA & NA & 1.01278704277029 & NA \tabularnewline
2 & 594 & NA & NA & 0.98734048089932 & NA \tabularnewline
3 & 595 & NA & NA & 0.994231652685714 & NA \tabularnewline
4 & 591 & NA & NA & 1.00268920542598 & NA \tabularnewline
5 & 589 & NA & NA & 0.995194953550897 & NA \tabularnewline
6 & 584 & NA & NA & 0.978728192154513 & NA \tabularnewline
7 & 573 & 576.348475910581 & 595.958333333333 & 0.967095254272107 & 0.994190188660965 \tabularnewline
8 & 567 & 566.481083718841 & 596.041666666667 & 0.950405173663208 & 1.00091603461452 \tabularnewline
9 & 569 & 568.24527521143 & 596.166666666667 & 0.953165124760576 & 1.00132816729235 \tabularnewline
10 & 621 & 625.416032575288 & 596.333333333333 & 1.04876919939959 & 0.992939048017198 \tabularnewline
11 & 629 & 635.062953296907 & 596.458333333333 & 1.06472307922639 & 0.990452988533764 \tabularnewline
12 & 628 & 623.091192363818 & 596.333333333333 & 1.04487064119142 & 1.00787815282312 \tabularnewline
13 & 612 & 603.832074791668 & 596.208333333333 & 1.01278704277029 & 1.01352681573126 \tabularnewline
14 & 595 & 588.948596856444 & 596.5 & 0.98734048089932 & 1.01027492581841 \tabularnewline
15 & 597 & 593.473444015647 & 596.916666666667 & 0.994231652685714 & 1.00594223047368 \tabularnewline
16 & 593 & 598.647234356201 & 597.041666666667 & 1.00268920542598 & 0.990566674274751 \tabularnewline
17 & 590 & 594.006987900692 & 596.875 & 0.995194953550897 & 0.993254308480691 \tabularnewline
18 & 580 & 583.729805937487 & 596.416666666667 & 0.978728192154513 & 0.993610389773575 \tabularnewline
19 & 574 & 575.502267563093 & 595.083333333333 & 0.967095254272107 & 0.99738964093147 \tabularnewline
20 & 573 & 563.471467335574 & 592.875 & 0.950405173663208 & 1.01691040845330 \tabularnewline
21 & 573 & 562.36742360874 & 590 & 0.953165124760576 & 1.01890681420170 \tabularnewline
22 & 620 & 615.627520047559 & 587 & 1.04876919939959 & 1.00710247643267 \tabularnewline
23 & 626 & 621.753914806577 & 583.958333333333 & 1.06472307922639 & 1.00682920540154 \tabularnewline
24 & 620 & 606.286189551323 & 580.25 & 1.04487064119142 & 1.02261936802292 \tabularnewline
25 & 588 & 583.618533396378 & 576.25 & 1.01278704277029 & 1.00750741512290 \tabularnewline
26 & 566 & 564.429641580778 & 571.666666666667 & 0.98734048089932 & 1.00278220402250 \tabularnewline
27 & 557 & 562.735115420114 & 566 & 0.994231652685714 & 0.989808499126925 \tabularnewline
28 & 561 & 561.714848623011 & 560.208333333333 & 1.00268920542598 & 0.998727381651449 \tabularnewline
29 & 549 & 552.29173276435 & 554.958333333333 & 0.995194953550897 & 0.994039865945713 \tabularnewline
30 & 532 & 537.484898858187 & 549.166666666667 & 0.978728192154513 & 0.989795250304076 \tabularnewline
31 & 526 & 525.495383790106 & 543.375 & 0.967095254272107 & 1.00096026763595 \tabularnewline
32 & 511 & 511.793186017637 & 538.5 & 0.950405173663208 & 0.998450182536017 \tabularnewline
33 & 499 & 509.347613543933 & 534.375 & 0.953165124760576 & 0.979684574406983 \tabularnewline
34 & 555 & 556.634252581332 & 530.75 & 1.04876919939959 & 0.997064045962401 \tabularnewline
35 & 565 & 561.33088006048 & 527.208333333333 & 1.06472307922639 & 1.00653646551411 \tabularnewline
36 & 542 & 547.381607154156 & 523.875 & 1.04487064119142 & 0.990168454541 \tabularnewline
37 & 527 & 527.408852522626 & 520.75 & 1.01278704277029 & 0.999224790178112 \tabularnewline
38 & 510 & 510.948698865398 & 517.5 & 0.98734048089932 & 0.998143260042536 \tabularnewline
39 & 514 & 511.905022176557 & 514.875 & 0.994231652685714 & 1.0040925127371 \tabularnewline
40 & 517 & 514.254226232848 & 512.875 & 1.00268920542598 & 1.00533933145726 \tabularnewline
41 & 508 & 508.005557331335 & 510.458333333333 & 0.995194953550897 & 0.999989060491062 \tabularnewline
42 & 493 & 497.357042979851 & 508.166666666667 & 0.978728192154513 & 0.991239607357831 \tabularnewline
43 & 490 & 489.632268110849 & 506.291666666667 & 0.967095254272107 & 1.00075103687625 \tabularnewline
44 & 469 & 480.033813131058 & 505.083333333333 & 0.950405173663208 & 0.977014508500788 \tabularnewline
45 & 478 & 481.189527149964 & 504.833333333333 & 0.953165124760576 & 0.993371578203592 \tabularnewline
46 & 528 & 530.021734146567 & 505.375 & 1.04876919939959 & 0.99618556369236 \tabularnewline
47 & 534 & 539.681510782876 & 506.875 & 1.06472307922639 & 0.98947247465522 \tabularnewline
48 & 518 & 532.579273070611 & 509.708333333333 & 1.04487064119142 & 0.972625158717586 \tabularnewline
49 & 506 & 520.023947002427 & 513.458333333333 & 1.01278704277029 & 0.97303211307236 \tabularnewline
50 & 502 & 511.154394798918 & 517.708333333333 & 0.98734048089932 & 0.982090744221187 \tabularnewline
51 & 516 & 519.403185890562 & 522.416666666667 & 0.994231652685714 & 0.99344789176692 \tabularnewline
52 & 528 & 528.709662277740 & 527.291666666667 & 1.00268920542598 & 0.998657746721173 \tabularnewline
53 & 533 & 529.816913396659 & 532.375 & 0.995194953550897 & 1.00600789918716 \tabularnewline
54 & 536 & 526.18874430707 & 537.625 & 0.978728192154513 & 1.01864588666915 \tabularnewline
55 & 537 & NA & NA & 0.967095254272107 & NA \tabularnewline
56 & 524 & NA & NA & 0.950405173663208 & NA \tabularnewline
57 & 536 & NA & NA & 0.953165124760576 & NA \tabularnewline
58 & 587 & NA & NA & 1.04876919939959 & NA \tabularnewline
59 & 597 & NA & NA & 1.06472307922639 & NA \tabularnewline
60 & 581 & NA & NA & 1.04487064119142 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63672&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]611[/C][C]NA[/C][C]NA[/C][C]1.01278704277029[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]594[/C][C]NA[/C][C]NA[/C][C]0.98734048089932[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]595[/C][C]NA[/C][C]NA[/C][C]0.994231652685714[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]591[/C][C]NA[/C][C]NA[/C][C]1.00268920542598[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]589[/C][C]NA[/C][C]NA[/C][C]0.995194953550897[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]584[/C][C]NA[/C][C]NA[/C][C]0.978728192154513[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]573[/C][C]576.348475910581[/C][C]595.958333333333[/C][C]0.967095254272107[/C][C]0.994190188660965[/C][/ROW]
[ROW][C]8[/C][C]567[/C][C]566.481083718841[/C][C]596.041666666667[/C][C]0.950405173663208[/C][C]1.00091603461452[/C][/ROW]
[ROW][C]9[/C][C]569[/C][C]568.24527521143[/C][C]596.166666666667[/C][C]0.953165124760576[/C][C]1.00132816729235[/C][/ROW]
[ROW][C]10[/C][C]621[/C][C]625.416032575288[/C][C]596.333333333333[/C][C]1.04876919939959[/C][C]0.992939048017198[/C][/ROW]
[ROW][C]11[/C][C]629[/C][C]635.062953296907[/C][C]596.458333333333[/C][C]1.06472307922639[/C][C]0.990452988533764[/C][/ROW]
[ROW][C]12[/C][C]628[/C][C]623.091192363818[/C][C]596.333333333333[/C][C]1.04487064119142[/C][C]1.00787815282312[/C][/ROW]
[ROW][C]13[/C][C]612[/C][C]603.832074791668[/C][C]596.208333333333[/C][C]1.01278704277029[/C][C]1.01352681573126[/C][/ROW]
[ROW][C]14[/C][C]595[/C][C]588.948596856444[/C][C]596.5[/C][C]0.98734048089932[/C][C]1.01027492581841[/C][/ROW]
[ROW][C]15[/C][C]597[/C][C]593.473444015647[/C][C]596.916666666667[/C][C]0.994231652685714[/C][C]1.00594223047368[/C][/ROW]
[ROW][C]16[/C][C]593[/C][C]598.647234356201[/C][C]597.041666666667[/C][C]1.00268920542598[/C][C]0.990566674274751[/C][/ROW]
[ROW][C]17[/C][C]590[/C][C]594.006987900692[/C][C]596.875[/C][C]0.995194953550897[/C][C]0.993254308480691[/C][/ROW]
[ROW][C]18[/C][C]580[/C][C]583.729805937487[/C][C]596.416666666667[/C][C]0.978728192154513[/C][C]0.993610389773575[/C][/ROW]
[ROW][C]19[/C][C]574[/C][C]575.502267563093[/C][C]595.083333333333[/C][C]0.967095254272107[/C][C]0.99738964093147[/C][/ROW]
[ROW][C]20[/C][C]573[/C][C]563.471467335574[/C][C]592.875[/C][C]0.950405173663208[/C][C]1.01691040845330[/C][/ROW]
[ROW][C]21[/C][C]573[/C][C]562.36742360874[/C][C]590[/C][C]0.953165124760576[/C][C]1.01890681420170[/C][/ROW]
[ROW][C]22[/C][C]620[/C][C]615.627520047559[/C][C]587[/C][C]1.04876919939959[/C][C]1.00710247643267[/C][/ROW]
[ROW][C]23[/C][C]626[/C][C]621.753914806577[/C][C]583.958333333333[/C][C]1.06472307922639[/C][C]1.00682920540154[/C][/ROW]
[ROW][C]24[/C][C]620[/C][C]606.286189551323[/C][C]580.25[/C][C]1.04487064119142[/C][C]1.02261936802292[/C][/ROW]
[ROW][C]25[/C][C]588[/C][C]583.618533396378[/C][C]576.25[/C][C]1.01278704277029[/C][C]1.00750741512290[/C][/ROW]
[ROW][C]26[/C][C]566[/C][C]564.429641580778[/C][C]571.666666666667[/C][C]0.98734048089932[/C][C]1.00278220402250[/C][/ROW]
[ROW][C]27[/C][C]557[/C][C]562.735115420114[/C][C]566[/C][C]0.994231652685714[/C][C]0.989808499126925[/C][/ROW]
[ROW][C]28[/C][C]561[/C][C]561.714848623011[/C][C]560.208333333333[/C][C]1.00268920542598[/C][C]0.998727381651449[/C][/ROW]
[ROW][C]29[/C][C]549[/C][C]552.29173276435[/C][C]554.958333333333[/C][C]0.995194953550897[/C][C]0.994039865945713[/C][/ROW]
[ROW][C]30[/C][C]532[/C][C]537.484898858187[/C][C]549.166666666667[/C][C]0.978728192154513[/C][C]0.989795250304076[/C][/ROW]
[ROW][C]31[/C][C]526[/C][C]525.495383790106[/C][C]543.375[/C][C]0.967095254272107[/C][C]1.00096026763595[/C][/ROW]
[ROW][C]32[/C][C]511[/C][C]511.793186017637[/C][C]538.5[/C][C]0.950405173663208[/C][C]0.998450182536017[/C][/ROW]
[ROW][C]33[/C][C]499[/C][C]509.347613543933[/C][C]534.375[/C][C]0.953165124760576[/C][C]0.979684574406983[/C][/ROW]
[ROW][C]34[/C][C]555[/C][C]556.634252581332[/C][C]530.75[/C][C]1.04876919939959[/C][C]0.997064045962401[/C][/ROW]
[ROW][C]35[/C][C]565[/C][C]561.33088006048[/C][C]527.208333333333[/C][C]1.06472307922639[/C][C]1.00653646551411[/C][/ROW]
[ROW][C]36[/C][C]542[/C][C]547.381607154156[/C][C]523.875[/C][C]1.04487064119142[/C][C]0.990168454541[/C][/ROW]
[ROW][C]37[/C][C]527[/C][C]527.408852522626[/C][C]520.75[/C][C]1.01278704277029[/C][C]0.999224790178112[/C][/ROW]
[ROW][C]38[/C][C]510[/C][C]510.948698865398[/C][C]517.5[/C][C]0.98734048089932[/C][C]0.998143260042536[/C][/ROW]
[ROW][C]39[/C][C]514[/C][C]511.905022176557[/C][C]514.875[/C][C]0.994231652685714[/C][C]1.0040925127371[/C][/ROW]
[ROW][C]40[/C][C]517[/C][C]514.254226232848[/C][C]512.875[/C][C]1.00268920542598[/C][C]1.00533933145726[/C][/ROW]
[ROW][C]41[/C][C]508[/C][C]508.005557331335[/C][C]510.458333333333[/C][C]0.995194953550897[/C][C]0.999989060491062[/C][/ROW]
[ROW][C]42[/C][C]493[/C][C]497.357042979851[/C][C]508.166666666667[/C][C]0.978728192154513[/C][C]0.991239607357831[/C][/ROW]
[ROW][C]43[/C][C]490[/C][C]489.632268110849[/C][C]506.291666666667[/C][C]0.967095254272107[/C][C]1.00075103687625[/C][/ROW]
[ROW][C]44[/C][C]469[/C][C]480.033813131058[/C][C]505.083333333333[/C][C]0.950405173663208[/C][C]0.977014508500788[/C][/ROW]
[ROW][C]45[/C][C]478[/C][C]481.189527149964[/C][C]504.833333333333[/C][C]0.953165124760576[/C][C]0.993371578203592[/C][/ROW]
[ROW][C]46[/C][C]528[/C][C]530.021734146567[/C][C]505.375[/C][C]1.04876919939959[/C][C]0.99618556369236[/C][/ROW]
[ROW][C]47[/C][C]534[/C][C]539.681510782876[/C][C]506.875[/C][C]1.06472307922639[/C][C]0.98947247465522[/C][/ROW]
[ROW][C]48[/C][C]518[/C][C]532.579273070611[/C][C]509.708333333333[/C][C]1.04487064119142[/C][C]0.972625158717586[/C][/ROW]
[ROW][C]49[/C][C]506[/C][C]520.023947002427[/C][C]513.458333333333[/C][C]1.01278704277029[/C][C]0.97303211307236[/C][/ROW]
[ROW][C]50[/C][C]502[/C][C]511.154394798918[/C][C]517.708333333333[/C][C]0.98734048089932[/C][C]0.982090744221187[/C][/ROW]
[ROW][C]51[/C][C]516[/C][C]519.403185890562[/C][C]522.416666666667[/C][C]0.994231652685714[/C][C]0.99344789176692[/C][/ROW]
[ROW][C]52[/C][C]528[/C][C]528.709662277740[/C][C]527.291666666667[/C][C]1.00268920542598[/C][C]0.998657746721173[/C][/ROW]
[ROW][C]53[/C][C]533[/C][C]529.816913396659[/C][C]532.375[/C][C]0.995194953550897[/C][C]1.00600789918716[/C][/ROW]
[ROW][C]54[/C][C]536[/C][C]526.18874430707[/C][C]537.625[/C][C]0.978728192154513[/C][C]1.01864588666915[/C][/ROW]
[ROW][C]55[/C][C]537[/C][C]NA[/C][C]NA[/C][C]0.967095254272107[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]524[/C][C]NA[/C][C]NA[/C][C]0.950405173663208[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]536[/C][C]NA[/C][C]NA[/C][C]0.953165124760576[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]587[/C][C]NA[/C][C]NA[/C][C]1.04876919939959[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]597[/C][C]NA[/C][C]NA[/C][C]1.06472307922639[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]581[/C][C]NA[/C][C]NA[/C][C]1.04487064119142[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63672&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63672&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
1611NANA1.01278704277029NA
2594NANA0.98734048089932NA
3595NANA0.994231652685714NA
4591NANA1.00268920542598NA
5589NANA0.995194953550897NA
6584NANA0.978728192154513NA
7573576.348475910581595.9583333333330.9670952542721070.994190188660965
8567566.481083718841596.0416666666670.9504051736632081.00091603461452
9569568.24527521143596.1666666666670.9531651247605761.00132816729235
10621625.416032575288596.3333333333331.048769199399590.992939048017198
11629635.062953296907596.4583333333331.064723079226390.990452988533764
12628623.091192363818596.3333333333331.044870641191421.00787815282312
13612603.832074791668596.2083333333331.012787042770291.01352681573126
14595588.948596856444596.50.987340480899321.01027492581841
15597593.473444015647596.9166666666670.9942316526857141.00594223047368
16593598.647234356201597.0416666666671.002689205425980.990566674274751
17590594.006987900692596.8750.9951949535508970.993254308480691
18580583.729805937487596.4166666666670.9787281921545130.993610389773575
19574575.502267563093595.0833333333330.9670952542721070.99738964093147
20573563.471467335574592.8750.9504051736632081.01691040845330
21573562.367423608745900.9531651247605761.01890681420170
22620615.6275200475595871.048769199399591.00710247643267
23626621.753914806577583.9583333333331.064723079226391.00682920540154
24620606.286189551323580.251.044870641191421.02261936802292
25588583.618533396378576.251.012787042770291.00750741512290
26566564.429641580778571.6666666666670.987340480899321.00278220402250
27557562.7351154201145660.9942316526857140.989808499126925
28561561.714848623011560.2083333333331.002689205425980.998727381651449
29549552.29173276435554.9583333333330.9951949535508970.994039865945713
30532537.484898858187549.1666666666670.9787281921545130.989795250304076
31526525.495383790106543.3750.9670952542721071.00096026763595
32511511.793186017637538.50.9504051736632080.998450182536017
33499509.347613543933534.3750.9531651247605760.979684574406983
34555556.634252581332530.751.048769199399590.997064045962401
35565561.33088006048527.2083333333331.064723079226391.00653646551411
36542547.381607154156523.8751.044870641191420.990168454541
37527527.408852522626520.751.012787042770290.999224790178112
38510510.948698865398517.50.987340480899320.998143260042536
39514511.905022176557514.8750.9942316526857141.0040925127371
40517514.254226232848512.8751.002689205425981.00533933145726
41508508.005557331335510.4583333333330.9951949535508970.999989060491062
42493497.357042979851508.1666666666670.9787281921545130.991239607357831
43490489.632268110849506.2916666666670.9670952542721071.00075103687625
44469480.033813131058505.0833333333330.9504051736632080.977014508500788
45478481.189527149964504.8333333333330.9531651247605760.993371578203592
46528530.021734146567505.3751.048769199399590.99618556369236
47534539.681510782876506.8751.064723079226390.98947247465522
48518532.579273070611509.7083333333331.044870641191420.972625158717586
49506520.023947002427513.4583333333331.012787042770290.97303211307236
50502511.154394798918517.7083333333330.987340480899320.982090744221187
51516519.403185890562522.4166666666670.9942316526857140.99344789176692
52528528.709662277740527.2916666666671.002689205425980.998657746721173
53533529.816913396659532.3750.9951949535508971.00600789918716
54536526.18874430707537.6250.9787281921545131.01864588666915
55537NANA0.967095254272107NA
56524NANA0.950405173663208NA
57536NANA0.953165124760576NA
58587NANA1.04876919939959NA
59597NANA1.06472307922639NA
60581NANA1.04487064119142NA



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')