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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 21 Aug 2013 08:00:48 -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/Aug/21/t1377086485lqevyfn5dwh1tks.htm/, Retrieved Sat, 27 Apr 2024 18:57:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211333, Retrieved Sat, 27 Apr 2024 18:57:23 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJoris Claus
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Tijdreeks B - Sta...] [2013-08-21 12:00:48] [5b48cba8ffed7710e2defc0d8d22bd89] [Current]
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Dataseries X:
580
610
550
515
555
580
585
545
580
605
625
600
590
605
475
535
560
610
585
560
590
625
620
615
560
665
495
555
545
605
610
610
550
600
660
590
555
650
530
565
580
630
605
595
565
585
685
585
520
670
525
565
575
610
605
575
565
575
720
580
565
675
525
575
560
585
550
560
605
585
685
585
555
660
530
575
580
615
570
550
635
580
690
575
590
685
540
580
615
605
565
555
625
605
685
540
610
680
560
575
590
625
520
590
625
560
715
575




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211333&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211333&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211333&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 time6 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1580NANA-23.5395NA
2610NANA69.6897NA
3550NANA-69.5291NA
4515NANA-26.4041NA
5555NANA-16.6385NA
6580NANA18.023NA
7585572.737577.917-5.1801212.2635
8545556.799578.125-21.326-11.799
9580573.674574.792-1.117626.32595
10605576.643572.54.142828.3572
11625653.44573.54279.898-28.4397
12600566.981575-8.0186633.0187
13590552.711576.25-23.539537.2895
14605646.565576.87569.6897-41.5647
15475508.388577.917-69.5291-33.3876
16535552.763579.167-26.4041-17.7626
17560563.153579.792-16.6385-3.15321
18610598.231580.20818.02311.7687
19585574.403579.583-5.1801210.5968
20560559.507580.833-21.3260.492622
21590583.049584.167-1.117626.95095
22625589.976585.8334.142835.0239
23620665.94586.04279.898-45.9397
24615577.19585.208-8.0186637.8103
25560562.502586.042-23.5395-2.50217
26665658.856589.16769.68976.14366
27495520.054589.583-69.5291-25.0543
28555560.471586.875-26.4041-5.47092
29545570.862587.5-16.6385-25.8615
30605606.148588.12518.023-1.148
31610581.695586.875-5.1801228.3051
32610564.716586.042-21.32645.2843
33550585.757586.875-1.11762-35.7574
34600592.893588.754.14287.1072
35660670.523590.62579.898-10.523
36590585.106593.125-8.018664.89366
37555570.419593.958-23.5395-15.4188
38650662.815593.12569.6897-12.8147
39530523.596593.125-69.52916.40408
40565566.721593.125-26.4041-1.72092
41580576.903593.542-16.63853.09679
42630612.398594.37518.02317.602
43605587.528592.708-5.1801217.4718
44595570.757592.083-21.32624.2426
45565591.591592.708-1.11762-26.5907
46585596.643592.54.1428-11.6428
47685672.19592.29279.89812.8103
48585583.231591.25-8.018661.76866
49520566.877590.417-23.5395-46.8772
50670659.273589.58369.689710.727
51525519.221588.75-69.52915.77908
52565561.929588.333-26.40413.07075
53575572.737589.375-16.63852.26345
54610608.648590.62518.0231.352
55605587.112592.292-5.1801217.8885
56575573.049594.375-21.3261.95095
57565593.466594.583-1.11762-28.4657
58575599.1435954.1428-24.1428
59720674.69594.79279.89845.3103
60580585.106593.125-8.01866-5.10634
61565566.252589.792-23.5395-1.25217
62675656.565586.87569.689718.4353
63525518.388587.917-69.52916.61241
64575563.596590-26.404111.4041
65560572.32588.958-16.6385-12.3199
66585605.731587.70818.023-20.7313
67550582.32587.5-5.18012-32.3199
68560565.132586.458-21.326-5.13238
69605584.924586.042-1.1176220.076
70585590.393586.254.1428-5.3928
71685666.981587.08379.89818.0187
72585581.148589.167-8.018663.852
73555567.711591.25-23.5395-12.7105
74660661.356591.66769.6897-1.35634
75530522.971592.5-69.52917.02908
76575567.138593.542-26.40417.86241
77580576.903593.542-16.63853.09679
78615611.356593.33318.0233.64366
79570589.195594.375-5.18012-19.1949
80550575.549596.875-21.326-25.549
81635597.216598.333-1.1176237.7843
82580603.101598.9584.1428-23.1011
83690680.523600.62579.8989.477
84575593.648601.667-8.01866-18.648
85590577.502601.042-23.539512.4978
86685670.731601.04269.689714.2687
87540531.304600.833-69.52918.69575
88580575.054601.458-26.40414.94575
89615585.653602.292-16.638529.3468
90605618.648600.62518.023-13.648
91565594.82600-5.18012-29.8199
92555579.299600.625-21.326-24.299
93625600.132601.25-1.1176224.8676
94605606.018601.8754.1428-1.0178
95685680.523600.62579.8984.477
96540592.398600.417-8.01866-52.398
97610575.836599.375-23.539534.1645
98680668.648598.95869.689711.352
99560530.888600.417-69.529129.1124
100575572.138598.542-26.40412.86241
101590581.278597.917-16.63858.72179
102625618.648600.62518.0236.352
103520NANA-5.18012NA
104590NANA-21.326NA
105625NANA-1.11762NA
106560NANA4.1428NA
107715NANA79.898NA
108575NANA-8.01866NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 580 & NA & NA & -23.5395 & NA \tabularnewline
2 & 610 & NA & NA & 69.6897 & NA \tabularnewline
3 & 550 & NA & NA & -69.5291 & NA \tabularnewline
4 & 515 & NA & NA & -26.4041 & NA \tabularnewline
5 & 555 & NA & NA & -16.6385 & NA \tabularnewline
6 & 580 & NA & NA & 18.023 & NA \tabularnewline
7 & 585 & 572.737 & 577.917 & -5.18012 & 12.2635 \tabularnewline
8 & 545 & 556.799 & 578.125 & -21.326 & -11.799 \tabularnewline
9 & 580 & 573.674 & 574.792 & -1.11762 & 6.32595 \tabularnewline
10 & 605 & 576.643 & 572.5 & 4.1428 & 28.3572 \tabularnewline
11 & 625 & 653.44 & 573.542 & 79.898 & -28.4397 \tabularnewline
12 & 600 & 566.981 & 575 & -8.01866 & 33.0187 \tabularnewline
13 & 590 & 552.711 & 576.25 & -23.5395 & 37.2895 \tabularnewline
14 & 605 & 646.565 & 576.875 & 69.6897 & -41.5647 \tabularnewline
15 & 475 & 508.388 & 577.917 & -69.5291 & -33.3876 \tabularnewline
16 & 535 & 552.763 & 579.167 & -26.4041 & -17.7626 \tabularnewline
17 & 560 & 563.153 & 579.792 & -16.6385 & -3.15321 \tabularnewline
18 & 610 & 598.231 & 580.208 & 18.023 & 11.7687 \tabularnewline
19 & 585 & 574.403 & 579.583 & -5.18012 & 10.5968 \tabularnewline
20 & 560 & 559.507 & 580.833 & -21.326 & 0.492622 \tabularnewline
21 & 590 & 583.049 & 584.167 & -1.11762 & 6.95095 \tabularnewline
22 & 625 & 589.976 & 585.833 & 4.1428 & 35.0239 \tabularnewline
23 & 620 & 665.94 & 586.042 & 79.898 & -45.9397 \tabularnewline
24 & 615 & 577.19 & 585.208 & -8.01866 & 37.8103 \tabularnewline
25 & 560 & 562.502 & 586.042 & -23.5395 & -2.50217 \tabularnewline
26 & 665 & 658.856 & 589.167 & 69.6897 & 6.14366 \tabularnewline
27 & 495 & 520.054 & 589.583 & -69.5291 & -25.0543 \tabularnewline
28 & 555 & 560.471 & 586.875 & -26.4041 & -5.47092 \tabularnewline
29 & 545 & 570.862 & 587.5 & -16.6385 & -25.8615 \tabularnewline
30 & 605 & 606.148 & 588.125 & 18.023 & -1.148 \tabularnewline
31 & 610 & 581.695 & 586.875 & -5.18012 & 28.3051 \tabularnewline
32 & 610 & 564.716 & 586.042 & -21.326 & 45.2843 \tabularnewline
33 & 550 & 585.757 & 586.875 & -1.11762 & -35.7574 \tabularnewline
34 & 600 & 592.893 & 588.75 & 4.1428 & 7.1072 \tabularnewline
35 & 660 & 670.523 & 590.625 & 79.898 & -10.523 \tabularnewline
36 & 590 & 585.106 & 593.125 & -8.01866 & 4.89366 \tabularnewline
37 & 555 & 570.419 & 593.958 & -23.5395 & -15.4188 \tabularnewline
38 & 650 & 662.815 & 593.125 & 69.6897 & -12.8147 \tabularnewline
39 & 530 & 523.596 & 593.125 & -69.5291 & 6.40408 \tabularnewline
40 & 565 & 566.721 & 593.125 & -26.4041 & -1.72092 \tabularnewline
41 & 580 & 576.903 & 593.542 & -16.6385 & 3.09679 \tabularnewline
42 & 630 & 612.398 & 594.375 & 18.023 & 17.602 \tabularnewline
43 & 605 & 587.528 & 592.708 & -5.18012 & 17.4718 \tabularnewline
44 & 595 & 570.757 & 592.083 & -21.326 & 24.2426 \tabularnewline
45 & 565 & 591.591 & 592.708 & -1.11762 & -26.5907 \tabularnewline
46 & 585 & 596.643 & 592.5 & 4.1428 & -11.6428 \tabularnewline
47 & 685 & 672.19 & 592.292 & 79.898 & 12.8103 \tabularnewline
48 & 585 & 583.231 & 591.25 & -8.01866 & 1.76866 \tabularnewline
49 & 520 & 566.877 & 590.417 & -23.5395 & -46.8772 \tabularnewline
50 & 670 & 659.273 & 589.583 & 69.6897 & 10.727 \tabularnewline
51 & 525 & 519.221 & 588.75 & -69.5291 & 5.77908 \tabularnewline
52 & 565 & 561.929 & 588.333 & -26.4041 & 3.07075 \tabularnewline
53 & 575 & 572.737 & 589.375 & -16.6385 & 2.26345 \tabularnewline
54 & 610 & 608.648 & 590.625 & 18.023 & 1.352 \tabularnewline
55 & 605 & 587.112 & 592.292 & -5.18012 & 17.8885 \tabularnewline
56 & 575 & 573.049 & 594.375 & -21.326 & 1.95095 \tabularnewline
57 & 565 & 593.466 & 594.583 & -1.11762 & -28.4657 \tabularnewline
58 & 575 & 599.143 & 595 & 4.1428 & -24.1428 \tabularnewline
59 & 720 & 674.69 & 594.792 & 79.898 & 45.3103 \tabularnewline
60 & 580 & 585.106 & 593.125 & -8.01866 & -5.10634 \tabularnewline
61 & 565 & 566.252 & 589.792 & -23.5395 & -1.25217 \tabularnewline
62 & 675 & 656.565 & 586.875 & 69.6897 & 18.4353 \tabularnewline
63 & 525 & 518.388 & 587.917 & -69.5291 & 6.61241 \tabularnewline
64 & 575 & 563.596 & 590 & -26.4041 & 11.4041 \tabularnewline
65 & 560 & 572.32 & 588.958 & -16.6385 & -12.3199 \tabularnewline
66 & 585 & 605.731 & 587.708 & 18.023 & -20.7313 \tabularnewline
67 & 550 & 582.32 & 587.5 & -5.18012 & -32.3199 \tabularnewline
68 & 560 & 565.132 & 586.458 & -21.326 & -5.13238 \tabularnewline
69 & 605 & 584.924 & 586.042 & -1.11762 & 20.076 \tabularnewline
70 & 585 & 590.393 & 586.25 & 4.1428 & -5.3928 \tabularnewline
71 & 685 & 666.981 & 587.083 & 79.898 & 18.0187 \tabularnewline
72 & 585 & 581.148 & 589.167 & -8.01866 & 3.852 \tabularnewline
73 & 555 & 567.711 & 591.25 & -23.5395 & -12.7105 \tabularnewline
74 & 660 & 661.356 & 591.667 & 69.6897 & -1.35634 \tabularnewline
75 & 530 & 522.971 & 592.5 & -69.5291 & 7.02908 \tabularnewline
76 & 575 & 567.138 & 593.542 & -26.4041 & 7.86241 \tabularnewline
77 & 580 & 576.903 & 593.542 & -16.6385 & 3.09679 \tabularnewline
78 & 615 & 611.356 & 593.333 & 18.023 & 3.64366 \tabularnewline
79 & 570 & 589.195 & 594.375 & -5.18012 & -19.1949 \tabularnewline
80 & 550 & 575.549 & 596.875 & -21.326 & -25.549 \tabularnewline
81 & 635 & 597.216 & 598.333 & -1.11762 & 37.7843 \tabularnewline
82 & 580 & 603.101 & 598.958 & 4.1428 & -23.1011 \tabularnewline
83 & 690 & 680.523 & 600.625 & 79.898 & 9.477 \tabularnewline
84 & 575 & 593.648 & 601.667 & -8.01866 & -18.648 \tabularnewline
85 & 590 & 577.502 & 601.042 & -23.5395 & 12.4978 \tabularnewline
86 & 685 & 670.731 & 601.042 & 69.6897 & 14.2687 \tabularnewline
87 & 540 & 531.304 & 600.833 & -69.5291 & 8.69575 \tabularnewline
88 & 580 & 575.054 & 601.458 & -26.4041 & 4.94575 \tabularnewline
89 & 615 & 585.653 & 602.292 & -16.6385 & 29.3468 \tabularnewline
90 & 605 & 618.648 & 600.625 & 18.023 & -13.648 \tabularnewline
91 & 565 & 594.82 & 600 & -5.18012 & -29.8199 \tabularnewline
92 & 555 & 579.299 & 600.625 & -21.326 & -24.299 \tabularnewline
93 & 625 & 600.132 & 601.25 & -1.11762 & 24.8676 \tabularnewline
94 & 605 & 606.018 & 601.875 & 4.1428 & -1.0178 \tabularnewline
95 & 685 & 680.523 & 600.625 & 79.898 & 4.477 \tabularnewline
96 & 540 & 592.398 & 600.417 & -8.01866 & -52.398 \tabularnewline
97 & 610 & 575.836 & 599.375 & -23.5395 & 34.1645 \tabularnewline
98 & 680 & 668.648 & 598.958 & 69.6897 & 11.352 \tabularnewline
99 & 560 & 530.888 & 600.417 & -69.5291 & 29.1124 \tabularnewline
100 & 575 & 572.138 & 598.542 & -26.4041 & 2.86241 \tabularnewline
101 & 590 & 581.278 & 597.917 & -16.6385 & 8.72179 \tabularnewline
102 & 625 & 618.648 & 600.625 & 18.023 & 6.352 \tabularnewline
103 & 520 & NA & NA & -5.18012 & NA \tabularnewline
104 & 590 & NA & NA & -21.326 & NA \tabularnewline
105 & 625 & NA & NA & -1.11762 & NA \tabularnewline
106 & 560 & NA & NA & 4.1428 & NA \tabularnewline
107 & 715 & NA & NA & 79.898 & NA \tabularnewline
108 & 575 & NA & NA & -8.01866 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211333&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]580[/C][C]NA[/C][C]NA[/C][C]-23.5395[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]610[/C][C]NA[/C][C]NA[/C][C]69.6897[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]550[/C][C]NA[/C][C]NA[/C][C]-69.5291[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]515[/C][C]NA[/C][C]NA[/C][C]-26.4041[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]555[/C][C]NA[/C][C]NA[/C][C]-16.6385[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]580[/C][C]NA[/C][C]NA[/C][C]18.023[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]585[/C][C]572.737[/C][C]577.917[/C][C]-5.18012[/C][C]12.2635[/C][/ROW]
[ROW][C]8[/C][C]545[/C][C]556.799[/C][C]578.125[/C][C]-21.326[/C][C]-11.799[/C][/ROW]
[ROW][C]9[/C][C]580[/C][C]573.674[/C][C]574.792[/C][C]-1.11762[/C][C]6.32595[/C][/ROW]
[ROW][C]10[/C][C]605[/C][C]576.643[/C][C]572.5[/C][C]4.1428[/C][C]28.3572[/C][/ROW]
[ROW][C]11[/C][C]625[/C][C]653.44[/C][C]573.542[/C][C]79.898[/C][C]-28.4397[/C][/ROW]
[ROW][C]12[/C][C]600[/C][C]566.981[/C][C]575[/C][C]-8.01866[/C][C]33.0187[/C][/ROW]
[ROW][C]13[/C][C]590[/C][C]552.711[/C][C]576.25[/C][C]-23.5395[/C][C]37.2895[/C][/ROW]
[ROW][C]14[/C][C]605[/C][C]646.565[/C][C]576.875[/C][C]69.6897[/C][C]-41.5647[/C][/ROW]
[ROW][C]15[/C][C]475[/C][C]508.388[/C][C]577.917[/C][C]-69.5291[/C][C]-33.3876[/C][/ROW]
[ROW][C]16[/C][C]535[/C][C]552.763[/C][C]579.167[/C][C]-26.4041[/C][C]-17.7626[/C][/ROW]
[ROW][C]17[/C][C]560[/C][C]563.153[/C][C]579.792[/C][C]-16.6385[/C][C]-3.15321[/C][/ROW]
[ROW][C]18[/C][C]610[/C][C]598.231[/C][C]580.208[/C][C]18.023[/C][C]11.7687[/C][/ROW]
[ROW][C]19[/C][C]585[/C][C]574.403[/C][C]579.583[/C][C]-5.18012[/C][C]10.5968[/C][/ROW]
[ROW][C]20[/C][C]560[/C][C]559.507[/C][C]580.833[/C][C]-21.326[/C][C]0.492622[/C][/ROW]
[ROW][C]21[/C][C]590[/C][C]583.049[/C][C]584.167[/C][C]-1.11762[/C][C]6.95095[/C][/ROW]
[ROW][C]22[/C][C]625[/C][C]589.976[/C][C]585.833[/C][C]4.1428[/C][C]35.0239[/C][/ROW]
[ROW][C]23[/C][C]620[/C][C]665.94[/C][C]586.042[/C][C]79.898[/C][C]-45.9397[/C][/ROW]
[ROW][C]24[/C][C]615[/C][C]577.19[/C][C]585.208[/C][C]-8.01866[/C][C]37.8103[/C][/ROW]
[ROW][C]25[/C][C]560[/C][C]562.502[/C][C]586.042[/C][C]-23.5395[/C][C]-2.50217[/C][/ROW]
[ROW][C]26[/C][C]665[/C][C]658.856[/C][C]589.167[/C][C]69.6897[/C][C]6.14366[/C][/ROW]
[ROW][C]27[/C][C]495[/C][C]520.054[/C][C]589.583[/C][C]-69.5291[/C][C]-25.0543[/C][/ROW]
[ROW][C]28[/C][C]555[/C][C]560.471[/C][C]586.875[/C][C]-26.4041[/C][C]-5.47092[/C][/ROW]
[ROW][C]29[/C][C]545[/C][C]570.862[/C][C]587.5[/C][C]-16.6385[/C][C]-25.8615[/C][/ROW]
[ROW][C]30[/C][C]605[/C][C]606.148[/C][C]588.125[/C][C]18.023[/C][C]-1.148[/C][/ROW]
[ROW][C]31[/C][C]610[/C][C]581.695[/C][C]586.875[/C][C]-5.18012[/C][C]28.3051[/C][/ROW]
[ROW][C]32[/C][C]610[/C][C]564.716[/C][C]586.042[/C][C]-21.326[/C][C]45.2843[/C][/ROW]
[ROW][C]33[/C][C]550[/C][C]585.757[/C][C]586.875[/C][C]-1.11762[/C][C]-35.7574[/C][/ROW]
[ROW][C]34[/C][C]600[/C][C]592.893[/C][C]588.75[/C][C]4.1428[/C][C]7.1072[/C][/ROW]
[ROW][C]35[/C][C]660[/C][C]670.523[/C][C]590.625[/C][C]79.898[/C][C]-10.523[/C][/ROW]
[ROW][C]36[/C][C]590[/C][C]585.106[/C][C]593.125[/C][C]-8.01866[/C][C]4.89366[/C][/ROW]
[ROW][C]37[/C][C]555[/C][C]570.419[/C][C]593.958[/C][C]-23.5395[/C][C]-15.4188[/C][/ROW]
[ROW][C]38[/C][C]650[/C][C]662.815[/C][C]593.125[/C][C]69.6897[/C][C]-12.8147[/C][/ROW]
[ROW][C]39[/C][C]530[/C][C]523.596[/C][C]593.125[/C][C]-69.5291[/C][C]6.40408[/C][/ROW]
[ROW][C]40[/C][C]565[/C][C]566.721[/C][C]593.125[/C][C]-26.4041[/C][C]-1.72092[/C][/ROW]
[ROW][C]41[/C][C]580[/C][C]576.903[/C][C]593.542[/C][C]-16.6385[/C][C]3.09679[/C][/ROW]
[ROW][C]42[/C][C]630[/C][C]612.398[/C][C]594.375[/C][C]18.023[/C][C]17.602[/C][/ROW]
[ROW][C]43[/C][C]605[/C][C]587.528[/C][C]592.708[/C][C]-5.18012[/C][C]17.4718[/C][/ROW]
[ROW][C]44[/C][C]595[/C][C]570.757[/C][C]592.083[/C][C]-21.326[/C][C]24.2426[/C][/ROW]
[ROW][C]45[/C][C]565[/C][C]591.591[/C][C]592.708[/C][C]-1.11762[/C][C]-26.5907[/C][/ROW]
[ROW][C]46[/C][C]585[/C][C]596.643[/C][C]592.5[/C][C]4.1428[/C][C]-11.6428[/C][/ROW]
[ROW][C]47[/C][C]685[/C][C]672.19[/C][C]592.292[/C][C]79.898[/C][C]12.8103[/C][/ROW]
[ROW][C]48[/C][C]585[/C][C]583.231[/C][C]591.25[/C][C]-8.01866[/C][C]1.76866[/C][/ROW]
[ROW][C]49[/C][C]520[/C][C]566.877[/C][C]590.417[/C][C]-23.5395[/C][C]-46.8772[/C][/ROW]
[ROW][C]50[/C][C]670[/C][C]659.273[/C][C]589.583[/C][C]69.6897[/C][C]10.727[/C][/ROW]
[ROW][C]51[/C][C]525[/C][C]519.221[/C][C]588.75[/C][C]-69.5291[/C][C]5.77908[/C][/ROW]
[ROW][C]52[/C][C]565[/C][C]561.929[/C][C]588.333[/C][C]-26.4041[/C][C]3.07075[/C][/ROW]
[ROW][C]53[/C][C]575[/C][C]572.737[/C][C]589.375[/C][C]-16.6385[/C][C]2.26345[/C][/ROW]
[ROW][C]54[/C][C]610[/C][C]608.648[/C][C]590.625[/C][C]18.023[/C][C]1.352[/C][/ROW]
[ROW][C]55[/C][C]605[/C][C]587.112[/C][C]592.292[/C][C]-5.18012[/C][C]17.8885[/C][/ROW]
[ROW][C]56[/C][C]575[/C][C]573.049[/C][C]594.375[/C][C]-21.326[/C][C]1.95095[/C][/ROW]
[ROW][C]57[/C][C]565[/C][C]593.466[/C][C]594.583[/C][C]-1.11762[/C][C]-28.4657[/C][/ROW]
[ROW][C]58[/C][C]575[/C][C]599.143[/C][C]595[/C][C]4.1428[/C][C]-24.1428[/C][/ROW]
[ROW][C]59[/C][C]720[/C][C]674.69[/C][C]594.792[/C][C]79.898[/C][C]45.3103[/C][/ROW]
[ROW][C]60[/C][C]580[/C][C]585.106[/C][C]593.125[/C][C]-8.01866[/C][C]-5.10634[/C][/ROW]
[ROW][C]61[/C][C]565[/C][C]566.252[/C][C]589.792[/C][C]-23.5395[/C][C]-1.25217[/C][/ROW]
[ROW][C]62[/C][C]675[/C][C]656.565[/C][C]586.875[/C][C]69.6897[/C][C]18.4353[/C][/ROW]
[ROW][C]63[/C][C]525[/C][C]518.388[/C][C]587.917[/C][C]-69.5291[/C][C]6.61241[/C][/ROW]
[ROW][C]64[/C][C]575[/C][C]563.596[/C][C]590[/C][C]-26.4041[/C][C]11.4041[/C][/ROW]
[ROW][C]65[/C][C]560[/C][C]572.32[/C][C]588.958[/C][C]-16.6385[/C][C]-12.3199[/C][/ROW]
[ROW][C]66[/C][C]585[/C][C]605.731[/C][C]587.708[/C][C]18.023[/C][C]-20.7313[/C][/ROW]
[ROW][C]67[/C][C]550[/C][C]582.32[/C][C]587.5[/C][C]-5.18012[/C][C]-32.3199[/C][/ROW]
[ROW][C]68[/C][C]560[/C][C]565.132[/C][C]586.458[/C][C]-21.326[/C][C]-5.13238[/C][/ROW]
[ROW][C]69[/C][C]605[/C][C]584.924[/C][C]586.042[/C][C]-1.11762[/C][C]20.076[/C][/ROW]
[ROW][C]70[/C][C]585[/C][C]590.393[/C][C]586.25[/C][C]4.1428[/C][C]-5.3928[/C][/ROW]
[ROW][C]71[/C][C]685[/C][C]666.981[/C][C]587.083[/C][C]79.898[/C][C]18.0187[/C][/ROW]
[ROW][C]72[/C][C]585[/C][C]581.148[/C][C]589.167[/C][C]-8.01866[/C][C]3.852[/C][/ROW]
[ROW][C]73[/C][C]555[/C][C]567.711[/C][C]591.25[/C][C]-23.5395[/C][C]-12.7105[/C][/ROW]
[ROW][C]74[/C][C]660[/C][C]661.356[/C][C]591.667[/C][C]69.6897[/C][C]-1.35634[/C][/ROW]
[ROW][C]75[/C][C]530[/C][C]522.971[/C][C]592.5[/C][C]-69.5291[/C][C]7.02908[/C][/ROW]
[ROW][C]76[/C][C]575[/C][C]567.138[/C][C]593.542[/C][C]-26.4041[/C][C]7.86241[/C][/ROW]
[ROW][C]77[/C][C]580[/C][C]576.903[/C][C]593.542[/C][C]-16.6385[/C][C]3.09679[/C][/ROW]
[ROW][C]78[/C][C]615[/C][C]611.356[/C][C]593.333[/C][C]18.023[/C][C]3.64366[/C][/ROW]
[ROW][C]79[/C][C]570[/C][C]589.195[/C][C]594.375[/C][C]-5.18012[/C][C]-19.1949[/C][/ROW]
[ROW][C]80[/C][C]550[/C][C]575.549[/C][C]596.875[/C][C]-21.326[/C][C]-25.549[/C][/ROW]
[ROW][C]81[/C][C]635[/C][C]597.216[/C][C]598.333[/C][C]-1.11762[/C][C]37.7843[/C][/ROW]
[ROW][C]82[/C][C]580[/C][C]603.101[/C][C]598.958[/C][C]4.1428[/C][C]-23.1011[/C][/ROW]
[ROW][C]83[/C][C]690[/C][C]680.523[/C][C]600.625[/C][C]79.898[/C][C]9.477[/C][/ROW]
[ROW][C]84[/C][C]575[/C][C]593.648[/C][C]601.667[/C][C]-8.01866[/C][C]-18.648[/C][/ROW]
[ROW][C]85[/C][C]590[/C][C]577.502[/C][C]601.042[/C][C]-23.5395[/C][C]12.4978[/C][/ROW]
[ROW][C]86[/C][C]685[/C][C]670.731[/C][C]601.042[/C][C]69.6897[/C][C]14.2687[/C][/ROW]
[ROW][C]87[/C][C]540[/C][C]531.304[/C][C]600.833[/C][C]-69.5291[/C][C]8.69575[/C][/ROW]
[ROW][C]88[/C][C]580[/C][C]575.054[/C][C]601.458[/C][C]-26.4041[/C][C]4.94575[/C][/ROW]
[ROW][C]89[/C][C]615[/C][C]585.653[/C][C]602.292[/C][C]-16.6385[/C][C]29.3468[/C][/ROW]
[ROW][C]90[/C][C]605[/C][C]618.648[/C][C]600.625[/C][C]18.023[/C][C]-13.648[/C][/ROW]
[ROW][C]91[/C][C]565[/C][C]594.82[/C][C]600[/C][C]-5.18012[/C][C]-29.8199[/C][/ROW]
[ROW][C]92[/C][C]555[/C][C]579.299[/C][C]600.625[/C][C]-21.326[/C][C]-24.299[/C][/ROW]
[ROW][C]93[/C][C]625[/C][C]600.132[/C][C]601.25[/C][C]-1.11762[/C][C]24.8676[/C][/ROW]
[ROW][C]94[/C][C]605[/C][C]606.018[/C][C]601.875[/C][C]4.1428[/C][C]-1.0178[/C][/ROW]
[ROW][C]95[/C][C]685[/C][C]680.523[/C][C]600.625[/C][C]79.898[/C][C]4.477[/C][/ROW]
[ROW][C]96[/C][C]540[/C][C]592.398[/C][C]600.417[/C][C]-8.01866[/C][C]-52.398[/C][/ROW]
[ROW][C]97[/C][C]610[/C][C]575.836[/C][C]599.375[/C][C]-23.5395[/C][C]34.1645[/C][/ROW]
[ROW][C]98[/C][C]680[/C][C]668.648[/C][C]598.958[/C][C]69.6897[/C][C]11.352[/C][/ROW]
[ROW][C]99[/C][C]560[/C][C]530.888[/C][C]600.417[/C][C]-69.5291[/C][C]29.1124[/C][/ROW]
[ROW][C]100[/C][C]575[/C][C]572.138[/C][C]598.542[/C][C]-26.4041[/C][C]2.86241[/C][/ROW]
[ROW][C]101[/C][C]590[/C][C]581.278[/C][C]597.917[/C][C]-16.6385[/C][C]8.72179[/C][/ROW]
[ROW][C]102[/C][C]625[/C][C]618.648[/C][C]600.625[/C][C]18.023[/C][C]6.352[/C][/ROW]
[ROW][C]103[/C][C]520[/C][C]NA[/C][C]NA[/C][C]-5.18012[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]590[/C][C]NA[/C][C]NA[/C][C]-21.326[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]625[/C][C]NA[/C][C]NA[/C][C]-1.11762[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]560[/C][C]NA[/C][C]NA[/C][C]4.1428[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]715[/C][C]NA[/C][C]NA[/C][C]79.898[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]575[/C][C]NA[/C][C]NA[/C][C]-8.01866[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211333&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211333&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
1580NANA-23.5395NA
2610NANA69.6897NA
3550NANA-69.5291NA
4515NANA-26.4041NA
5555NANA-16.6385NA
6580NANA18.023NA
7585572.737577.917-5.1801212.2635
8545556.799578.125-21.326-11.799
9580573.674574.792-1.117626.32595
10605576.643572.54.142828.3572
11625653.44573.54279.898-28.4397
12600566.981575-8.0186633.0187
13590552.711576.25-23.539537.2895
14605646.565576.87569.6897-41.5647
15475508.388577.917-69.5291-33.3876
16535552.763579.167-26.4041-17.7626
17560563.153579.792-16.6385-3.15321
18610598.231580.20818.02311.7687
19585574.403579.583-5.1801210.5968
20560559.507580.833-21.3260.492622
21590583.049584.167-1.117626.95095
22625589.976585.8334.142835.0239
23620665.94586.04279.898-45.9397
24615577.19585.208-8.0186637.8103
25560562.502586.042-23.5395-2.50217
26665658.856589.16769.68976.14366
27495520.054589.583-69.5291-25.0543
28555560.471586.875-26.4041-5.47092
29545570.862587.5-16.6385-25.8615
30605606.148588.12518.023-1.148
31610581.695586.875-5.1801228.3051
32610564.716586.042-21.32645.2843
33550585.757586.875-1.11762-35.7574
34600592.893588.754.14287.1072
35660670.523590.62579.898-10.523
36590585.106593.125-8.018664.89366
37555570.419593.958-23.5395-15.4188
38650662.815593.12569.6897-12.8147
39530523.596593.125-69.52916.40408
40565566.721593.125-26.4041-1.72092
41580576.903593.542-16.63853.09679
42630612.398594.37518.02317.602
43605587.528592.708-5.1801217.4718
44595570.757592.083-21.32624.2426
45565591.591592.708-1.11762-26.5907
46585596.643592.54.1428-11.6428
47685672.19592.29279.89812.8103
48585583.231591.25-8.018661.76866
49520566.877590.417-23.5395-46.8772
50670659.273589.58369.689710.727
51525519.221588.75-69.52915.77908
52565561.929588.333-26.40413.07075
53575572.737589.375-16.63852.26345
54610608.648590.62518.0231.352
55605587.112592.292-5.1801217.8885
56575573.049594.375-21.3261.95095
57565593.466594.583-1.11762-28.4657
58575599.1435954.1428-24.1428
59720674.69594.79279.89845.3103
60580585.106593.125-8.01866-5.10634
61565566.252589.792-23.5395-1.25217
62675656.565586.87569.689718.4353
63525518.388587.917-69.52916.61241
64575563.596590-26.404111.4041
65560572.32588.958-16.6385-12.3199
66585605.731587.70818.023-20.7313
67550582.32587.5-5.18012-32.3199
68560565.132586.458-21.326-5.13238
69605584.924586.042-1.1176220.076
70585590.393586.254.1428-5.3928
71685666.981587.08379.89818.0187
72585581.148589.167-8.018663.852
73555567.711591.25-23.5395-12.7105
74660661.356591.66769.6897-1.35634
75530522.971592.5-69.52917.02908
76575567.138593.542-26.40417.86241
77580576.903593.542-16.63853.09679
78615611.356593.33318.0233.64366
79570589.195594.375-5.18012-19.1949
80550575.549596.875-21.326-25.549
81635597.216598.333-1.1176237.7843
82580603.101598.9584.1428-23.1011
83690680.523600.62579.8989.477
84575593.648601.667-8.01866-18.648
85590577.502601.042-23.539512.4978
86685670.731601.04269.689714.2687
87540531.304600.833-69.52918.69575
88580575.054601.458-26.40414.94575
89615585.653602.292-16.638529.3468
90605618.648600.62518.023-13.648
91565594.82600-5.18012-29.8199
92555579.299600.625-21.326-24.299
93625600.132601.25-1.1176224.8676
94605606.018601.8754.1428-1.0178
95685680.523600.62579.8984.477
96540592.398600.417-8.01866-52.398
97610575.836599.375-23.539534.1645
98680668.648598.95869.689711.352
99560530.888600.417-69.529129.1124
100575572.138598.542-26.40412.86241
101590581.278597.917-16.63858.72179
102625618.648600.62518.0236.352
103520NANA-5.18012NA
104590NANA-21.326NA
105625NANA-1.11762NA
106560NANA4.1428NA
107715NANA79.898NA
108575NANA-8.01866NA



Parameters (Session):
Parameters (R input):
par1 = additive ; 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')