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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 24 May 2008 07:40:23 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/24/t1211636472ouoecmpln3zpalx.htm/, Retrieved Tue, 14 May 2024 14:53:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13067, Retrieved Tue, 14 May 2024 14:53:10 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

200

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [Decompositie tijd...] [2008-05-24 13:40:23] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 5 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13067&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13067&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13067&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	44.13	NA	NA	0.99981394728005	NA
2	44.13	NA	NA	0.998920056057169	NA
3	44.14	NA	NA	0.999332584251624	NA
4	44.14	NA	NA	1.00038570492657	NA
5	44.14	NA	NA	1.00038552819624	NA
6	44.14	NA	NA	0.999552473570032	NA
7	44.15	44.1409330682872	44.1858333333333	0.998983831204281	1.00020540870078
8	44.17	44.1289663945525	44.1991666666667	0.998411728604669	1.00092985648204
9	44.19	44.1958959386291	44.2120833333333	0.999633869442837	0.999866595336424
10	44.26	44.3194102694314	44.2258333333333	1.00211588858920	0.998659497744437
11	44.27	44.3157849784974	44.24125	1.00168473943429	0.998966847173764
12	44.29	44.2920052909672	44.2575	1.00077964844303	0.999954725667667
13	44.29	44.2655127483901	44.27375	0.99981394728005	1.00055319028493
14	44.29	44.2409206327019	44.28875	0.998920056057169	1.00110936586753
15	44.29	44.2737645909611	44.3033333333333	0.999332584251624	1.00036670495922
16	44.32	44.3366776149685	44.3195833333333	1.00038570492657	0.999623841571682
17	44.33	44.3554270110078	44.3383333333333	1.00038552819624	0.999426744082488
18	44.34	44.3376488463827	44.3575	0.999552473570032	1.00005302837833
19	44.34	44.330739996216	44.3758333333333	0.998983831204281	1.00020888448478
20	44.34	44.3240726865173	44.3945833333333	0.998411728604669	1.00035933777104
21	44.37	44.4049860229876	44.42125	0.999633869442837	0.999212114987053
22	44.47	44.554072406676	44.46	1.00211588858920	0.99811302531655
23	44.51	44.5803966971646	44.5054166666667	1.00168473943429	0.998420904649125
24	44.51	44.5876522787781	44.5529166666667	1.00077964844303	0.998258435355766
25	44.51	44.5933684052691	44.6016666666667	0.99981394728005	0.998130475264586
26	44.52	44.6034453697127	44.6516666666667	0.998920056057169	0.9981291721072
27	44.7	44.6709992932011	44.7008333333333	0.999332584251624	1.00064920658274
28	44.84	44.7760136703821	44.75875	1.00038570492657	1.00142903140259
29	44.9	44.8443654379137	44.8270833333333	1.00038552819624	1.00124061432340
30	44.91	44.8761577415186	44.89625	0.999552473570032	1.00075412557992
31	44.94	44.9197242133635	44.9654166666667	0.998983831204281	1.00045137825291
32	44.94	44.9634721977112	45.035	0.998411728604669	0.999477971861069
33	44.95	45.0843205400965	45.1008333333333	0.999633869442837	0.997020681725102
34	45.28	45.2597290115576	45.1641666666667	1.00211588858920	1.00044788134806
35	45.34	45.3082876078202	45.2320833333333	1.00168473943429	1.00069992475669
36	45.34	45.3386540066306	45.3033333333333	1.00077964844303	1.00002968754585
37	45.34	45.3653080903982	45.37375	0.99981394728005	0.99944212678226
38	45.36	45.3938408640679	45.4429166666667	0.998920056057169	0.999254505381705
39	45.44	45.4946158980552	45.525	0.999332584251624	0.998799508535745
40	45.62	45.6305097933402	45.6129166666667	1.00038570492657	0.999769676179648
41	45.75	45.7101157471069	45.6925	1.00038552819624	1.00087254762411
42	45.77	45.7507661558923	45.77125	0.999552473570032	1.00042040485272
43	45.77	45.8038249039793	45.8504166666667	0.998983831204281	0.999261526650881
44	45.77	45.8558026801517	45.92875	0.998411728604669	0.99812885883276
45	46.09	45.9864901072686	46.0033333333333	0.999633869442837	1.00225087612666
46	46.25	46.1666438907308	46.0691666666667	1.00211588858920	1.00180554838395
47	46.28	46.2014565004825	46.12375	1.00168473943429	1.00170002215226
48	46.29	46.2084983177356	46.1725	1.00077964844303	1.00176378123574
49	46.29	46.2151499455862	46.22375	0.99981394728005	1.00161959994724
50	46.29	46.2321012777759	46.2820833333333	0.998920056057169	1.00125234892259
51	46.3	46.3032425141454	46.3341666666667	0.999332584251624	0.99992997220131
52	46.34	46.3899692743303	46.3720833333333	1.00038570492657	0.998922843125099
53	46.34	46.4233072632501	46.4054166666667	1.00038552819624	0.998205486249014
54	46.35	46.418800392395	46.4395833333333	0.999552473570032	0.998517833468048
55	46.42	46.428189798482	46.4754166666667	0.998983831204281	0.999823602890452
56	46.52	46.4373775120639	46.51125	0.998411728604669	1.00177922381415
57	46.59	46.531290566115	46.5483333333333	0.999633869442837	1.00126171944020
58	46.66	46.6889967976579	46.5904166666667	1.00211588858920	0.999378937230466
59	46.67	46.7202457217811	46.6416666666667	1.00168473943429	0.998924540720947
60	46.72	46.7343246246884	46.6979166666667	1.00077964844303	0.999693488141672
61	46.72	46.7429683919212	46.7516666666667	0.99981394728005	0.999508623591711
62	46.72	46.7544532237558	46.805	0.998920056057169	0.999263102840902
63	46.76	46.8274757323008	46.85875	0.999332584251624	0.998559056809158
64	46.89	46.9506020964662	46.9325	1.00038570492657	0.99870923707556
65	47.02	47.0485482183728	47.0304166666667	1.00038552819624	0.999393217868482
66	47.02	47.1093245595529	47.1304166666667	0.999552473570032	0.998103887916287
67	47.04	NA	NA	0.998983831204281	NA
68	47.18	NA	NA	0.998411728604669	NA
69	47.22	NA	NA	0.999633869442837	NA
70	47.8	NA	NA	1.00211588858920	NA
71	47.88	NA	NA	1.00168473943429	NA
72	47.91	NA	NA	1.00077964844303	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 44.13 & NA & NA & 0.99981394728005 & NA \tabularnewline
2 & 44.13 & NA & NA & 0.998920056057169 & NA \tabularnewline
3 & 44.14 & NA & NA & 0.999332584251624 & NA \tabularnewline
4 & 44.14 & NA & NA & 1.00038570492657 & NA \tabularnewline
5 & 44.14 & NA & NA & 1.00038552819624 & NA \tabularnewline
6 & 44.14 & NA & NA & 0.999552473570032 & NA \tabularnewline
7 & 44.15 & 44.1409330682872 & 44.1858333333333 & 0.998983831204281 & 1.00020540870078 \tabularnewline
8 & 44.17 & 44.1289663945525 & 44.1991666666667 & 0.998411728604669 & 1.00092985648204 \tabularnewline
9 & 44.19 & 44.1958959386291 & 44.2120833333333 & 0.999633869442837 & 0.999866595336424 \tabularnewline
10 & 44.26 & 44.3194102694314 & 44.2258333333333 & 1.00211588858920 & 0.998659497744437 \tabularnewline
11 & 44.27 & 44.3157849784974 & 44.24125 & 1.00168473943429 & 0.998966847173764 \tabularnewline
12 & 44.29 & 44.2920052909672 & 44.2575 & 1.00077964844303 & 0.999954725667667 \tabularnewline
13 & 44.29 & 44.2655127483901 & 44.27375 & 0.99981394728005 & 1.00055319028493 \tabularnewline
14 & 44.29 & 44.2409206327019 & 44.28875 & 0.998920056057169 & 1.00110936586753 \tabularnewline
15 & 44.29 & 44.2737645909611 & 44.3033333333333 & 0.999332584251624 & 1.00036670495922 \tabularnewline
16 & 44.32 & 44.3366776149685 & 44.3195833333333 & 1.00038570492657 & 0.999623841571682 \tabularnewline
17 & 44.33 & 44.3554270110078 & 44.3383333333333 & 1.00038552819624 & 0.999426744082488 \tabularnewline
18 & 44.34 & 44.3376488463827 & 44.3575 & 0.999552473570032 & 1.00005302837833 \tabularnewline
19 & 44.34 & 44.330739996216 & 44.3758333333333 & 0.998983831204281 & 1.00020888448478 \tabularnewline
20 & 44.34 & 44.3240726865173 & 44.3945833333333 & 0.998411728604669 & 1.00035933777104 \tabularnewline
21 & 44.37 & 44.4049860229876 & 44.42125 & 0.999633869442837 & 0.999212114987053 \tabularnewline
22 & 44.47 & 44.554072406676 & 44.46 & 1.00211588858920 & 0.99811302531655 \tabularnewline
23 & 44.51 & 44.5803966971646 & 44.5054166666667 & 1.00168473943429 & 0.998420904649125 \tabularnewline
24 & 44.51 & 44.5876522787781 & 44.5529166666667 & 1.00077964844303 & 0.998258435355766 \tabularnewline
25 & 44.51 & 44.5933684052691 & 44.6016666666667 & 0.99981394728005 & 0.998130475264586 \tabularnewline
26 & 44.52 & 44.6034453697127 & 44.6516666666667 & 0.998920056057169 & 0.9981291721072 \tabularnewline
27 & 44.7 & 44.6709992932011 & 44.7008333333333 & 0.999332584251624 & 1.00064920658274 \tabularnewline
28 & 44.84 & 44.7760136703821 & 44.75875 & 1.00038570492657 & 1.00142903140259 \tabularnewline
29 & 44.9 & 44.8443654379137 & 44.8270833333333 & 1.00038552819624 & 1.00124061432340 \tabularnewline
30 & 44.91 & 44.8761577415186 & 44.89625 & 0.999552473570032 & 1.00075412557992 \tabularnewline
31 & 44.94 & 44.9197242133635 & 44.9654166666667 & 0.998983831204281 & 1.00045137825291 \tabularnewline
32 & 44.94 & 44.9634721977112 & 45.035 & 0.998411728604669 & 0.999477971861069 \tabularnewline
33 & 44.95 & 45.0843205400965 & 45.1008333333333 & 0.999633869442837 & 0.997020681725102 \tabularnewline
34 & 45.28 & 45.2597290115576 & 45.1641666666667 & 1.00211588858920 & 1.00044788134806 \tabularnewline
35 & 45.34 & 45.3082876078202 & 45.2320833333333 & 1.00168473943429 & 1.00069992475669 \tabularnewline
36 & 45.34 & 45.3386540066306 & 45.3033333333333 & 1.00077964844303 & 1.00002968754585 \tabularnewline
37 & 45.34 & 45.3653080903982 & 45.37375 & 0.99981394728005 & 0.99944212678226 \tabularnewline
38 & 45.36 & 45.3938408640679 & 45.4429166666667 & 0.998920056057169 & 0.999254505381705 \tabularnewline
39 & 45.44 & 45.4946158980552 & 45.525 & 0.999332584251624 & 0.998799508535745 \tabularnewline
40 & 45.62 & 45.6305097933402 & 45.6129166666667 & 1.00038570492657 & 0.999769676179648 \tabularnewline
41 & 45.75 & 45.7101157471069 & 45.6925 & 1.00038552819624 & 1.00087254762411 \tabularnewline
42 & 45.77 & 45.7507661558923 & 45.77125 & 0.999552473570032 & 1.00042040485272 \tabularnewline
43 & 45.77 & 45.8038249039793 & 45.8504166666667 & 0.998983831204281 & 0.999261526650881 \tabularnewline
44 & 45.77 & 45.8558026801517 & 45.92875 & 0.998411728604669 & 0.99812885883276 \tabularnewline
45 & 46.09 & 45.9864901072686 & 46.0033333333333 & 0.999633869442837 & 1.00225087612666 \tabularnewline
46 & 46.25 & 46.1666438907308 & 46.0691666666667 & 1.00211588858920 & 1.00180554838395 \tabularnewline
47 & 46.28 & 46.2014565004825 & 46.12375 & 1.00168473943429 & 1.00170002215226 \tabularnewline
48 & 46.29 & 46.2084983177356 & 46.1725 & 1.00077964844303 & 1.00176378123574 \tabularnewline
49 & 46.29 & 46.2151499455862 & 46.22375 & 0.99981394728005 & 1.00161959994724 \tabularnewline
50 & 46.29 & 46.2321012777759 & 46.2820833333333 & 0.998920056057169 & 1.00125234892259 \tabularnewline
51 & 46.3 & 46.3032425141454 & 46.3341666666667 & 0.999332584251624 & 0.99992997220131 \tabularnewline
52 & 46.34 & 46.3899692743303 & 46.3720833333333 & 1.00038570492657 & 0.998922843125099 \tabularnewline
53 & 46.34 & 46.4233072632501 & 46.4054166666667 & 1.00038552819624 & 0.998205486249014 \tabularnewline
54 & 46.35 & 46.418800392395 & 46.4395833333333 & 0.999552473570032 & 0.998517833468048 \tabularnewline
55 & 46.42 & 46.428189798482 & 46.4754166666667 & 0.998983831204281 & 0.999823602890452 \tabularnewline
56 & 46.52 & 46.4373775120639 & 46.51125 & 0.998411728604669 & 1.00177922381415 \tabularnewline
57 & 46.59 & 46.531290566115 & 46.5483333333333 & 0.999633869442837 & 1.00126171944020 \tabularnewline
58 & 46.66 & 46.6889967976579 & 46.5904166666667 & 1.00211588858920 & 0.999378937230466 \tabularnewline
59 & 46.67 & 46.7202457217811 & 46.6416666666667 & 1.00168473943429 & 0.998924540720947 \tabularnewline
60 & 46.72 & 46.7343246246884 & 46.6979166666667 & 1.00077964844303 & 0.999693488141672 \tabularnewline
61 & 46.72 & 46.7429683919212 & 46.7516666666667 & 0.99981394728005 & 0.999508623591711 \tabularnewline
62 & 46.72 & 46.7544532237558 & 46.805 & 0.998920056057169 & 0.999263102840902 \tabularnewline
63 & 46.76 & 46.8274757323008 & 46.85875 & 0.999332584251624 & 0.998559056809158 \tabularnewline
64 & 46.89 & 46.9506020964662 & 46.9325 & 1.00038570492657 & 0.99870923707556 \tabularnewline
65 & 47.02 & 47.0485482183728 & 47.0304166666667 & 1.00038552819624 & 0.999393217868482 \tabularnewline
66 & 47.02 & 47.1093245595529 & 47.1304166666667 & 0.999552473570032 & 0.998103887916287 \tabularnewline
67 & 47.04 & NA & NA & 0.998983831204281 & NA \tabularnewline
68 & 47.18 & NA & NA & 0.998411728604669 & NA \tabularnewline
69 & 47.22 & NA & NA & 0.999633869442837 & NA \tabularnewline
70 & 47.8 & NA & NA & 1.00211588858920 & NA \tabularnewline
71 & 47.88 & NA & NA & 1.00168473943429 & NA \tabularnewline
72 & 47.91 & NA & NA & 1.00077964844303 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13067&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]44.13[/C][C]NA[/C][C]NA[/C][C]0.99981394728005[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]44.13[/C][C]NA[/C][C]NA[/C][C]0.998920056057169[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]44.14[/C][C]NA[/C][C]NA[/C][C]0.999332584251624[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]44.14[/C][C]NA[/C][C]NA[/C][C]1.00038570492657[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]44.14[/C][C]NA[/C][C]NA[/C][C]1.00038552819624[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]44.14[/C][C]NA[/C][C]NA[/C][C]0.999552473570032[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]44.15[/C][C]44.1409330682872[/C][C]44.1858333333333[/C][C]0.998983831204281[/C][C]1.00020540870078[/C][/ROW]
[ROW][C]8[/C][C]44.17[/C][C]44.1289663945525[/C][C]44.1991666666667[/C][C]0.998411728604669[/C][C]1.00092985648204[/C][/ROW]
[ROW][C]9[/C][C]44.19[/C][C]44.1958959386291[/C][C]44.2120833333333[/C][C]0.999633869442837[/C][C]0.999866595336424[/C][/ROW]
[ROW][C]10[/C][C]44.26[/C][C]44.3194102694314[/C][C]44.2258333333333[/C][C]1.00211588858920[/C][C]0.998659497744437[/C][/ROW]
[ROW][C]11[/C][C]44.27[/C][C]44.3157849784974[/C][C]44.24125[/C][C]1.00168473943429[/C][C]0.998966847173764[/C][/ROW]
[ROW][C]12[/C][C]44.29[/C][C]44.2920052909672[/C][C]44.2575[/C][C]1.00077964844303[/C][C]0.999954725667667[/C][/ROW]
[ROW][C]13[/C][C]44.29[/C][C]44.2655127483901[/C][C]44.27375[/C][C]0.99981394728005[/C][C]1.00055319028493[/C][/ROW]
[ROW][C]14[/C][C]44.29[/C][C]44.2409206327019[/C][C]44.28875[/C][C]0.998920056057169[/C][C]1.00110936586753[/C][/ROW]
[ROW][C]15[/C][C]44.29[/C][C]44.2737645909611[/C][C]44.3033333333333[/C][C]0.999332584251624[/C][C]1.00036670495922[/C][/ROW]
[ROW][C]16[/C][C]44.32[/C][C]44.3366776149685[/C][C]44.3195833333333[/C][C]1.00038570492657[/C][C]0.999623841571682[/C][/ROW]
[ROW][C]17[/C][C]44.33[/C][C]44.3554270110078[/C][C]44.3383333333333[/C][C]1.00038552819624[/C][C]0.999426744082488[/C][/ROW]
[ROW][C]18[/C][C]44.34[/C][C]44.3376488463827[/C][C]44.3575[/C][C]0.999552473570032[/C][C]1.00005302837833[/C][/ROW]
[ROW][C]19[/C][C]44.34[/C][C]44.330739996216[/C][C]44.3758333333333[/C][C]0.998983831204281[/C][C]1.00020888448478[/C][/ROW]
[ROW][C]20[/C][C]44.34[/C][C]44.3240726865173[/C][C]44.3945833333333[/C][C]0.998411728604669[/C][C]1.00035933777104[/C][/ROW]
[ROW][C]21[/C][C]44.37[/C][C]44.4049860229876[/C][C]44.42125[/C][C]0.999633869442837[/C][C]0.999212114987053[/C][/ROW]
[ROW][C]22[/C][C]44.47[/C][C]44.554072406676[/C][C]44.46[/C][C]1.00211588858920[/C][C]0.99811302531655[/C][/ROW]
[ROW][C]23[/C][C]44.51[/C][C]44.5803966971646[/C][C]44.5054166666667[/C][C]1.00168473943429[/C][C]0.998420904649125[/C][/ROW]
[ROW][C]24[/C][C]44.51[/C][C]44.5876522787781[/C][C]44.5529166666667[/C][C]1.00077964844303[/C][C]0.998258435355766[/C][/ROW]
[ROW][C]25[/C][C]44.51[/C][C]44.5933684052691[/C][C]44.6016666666667[/C][C]0.99981394728005[/C][C]0.998130475264586[/C][/ROW]
[ROW][C]26[/C][C]44.52[/C][C]44.6034453697127[/C][C]44.6516666666667[/C][C]0.998920056057169[/C][C]0.9981291721072[/C][/ROW]
[ROW][C]27[/C][C]44.7[/C][C]44.6709992932011[/C][C]44.7008333333333[/C][C]0.999332584251624[/C][C]1.00064920658274[/C][/ROW]
[ROW][C]28[/C][C]44.84[/C][C]44.7760136703821[/C][C]44.75875[/C][C]1.00038570492657[/C][C]1.00142903140259[/C][/ROW]
[ROW][C]29[/C][C]44.9[/C][C]44.8443654379137[/C][C]44.8270833333333[/C][C]1.00038552819624[/C][C]1.00124061432340[/C][/ROW]
[ROW][C]30[/C][C]44.91[/C][C]44.8761577415186[/C][C]44.89625[/C][C]0.999552473570032[/C][C]1.00075412557992[/C][/ROW]
[ROW][C]31[/C][C]44.94[/C][C]44.9197242133635[/C][C]44.9654166666667[/C][C]0.998983831204281[/C][C]1.00045137825291[/C][/ROW]
[ROW][C]32[/C][C]44.94[/C][C]44.9634721977112[/C][C]45.035[/C][C]0.998411728604669[/C][C]0.999477971861069[/C][/ROW]
[ROW][C]33[/C][C]44.95[/C][C]45.0843205400965[/C][C]45.1008333333333[/C][C]0.999633869442837[/C][C]0.997020681725102[/C][/ROW]
[ROW][C]34[/C][C]45.28[/C][C]45.2597290115576[/C][C]45.1641666666667[/C][C]1.00211588858920[/C][C]1.00044788134806[/C][/ROW]
[ROW][C]35[/C][C]45.34[/C][C]45.3082876078202[/C][C]45.2320833333333[/C][C]1.00168473943429[/C][C]1.00069992475669[/C][/ROW]
[ROW][C]36[/C][C]45.34[/C][C]45.3386540066306[/C][C]45.3033333333333[/C][C]1.00077964844303[/C][C]1.00002968754585[/C][/ROW]
[ROW][C]37[/C][C]45.34[/C][C]45.3653080903982[/C][C]45.37375[/C][C]0.99981394728005[/C][C]0.99944212678226[/C][/ROW]
[ROW][C]38[/C][C]45.36[/C][C]45.3938408640679[/C][C]45.4429166666667[/C][C]0.998920056057169[/C][C]0.999254505381705[/C][/ROW]
[ROW][C]39[/C][C]45.44[/C][C]45.4946158980552[/C][C]45.525[/C][C]0.999332584251624[/C][C]0.998799508535745[/C][/ROW]
[ROW][C]40[/C][C]45.62[/C][C]45.6305097933402[/C][C]45.6129166666667[/C][C]1.00038570492657[/C][C]0.999769676179648[/C][/ROW]
[ROW][C]41[/C][C]45.75[/C][C]45.7101157471069[/C][C]45.6925[/C][C]1.00038552819624[/C][C]1.00087254762411[/C][/ROW]
[ROW][C]42[/C][C]45.77[/C][C]45.7507661558923[/C][C]45.77125[/C][C]0.999552473570032[/C][C]1.00042040485272[/C][/ROW]
[ROW][C]43[/C][C]45.77[/C][C]45.8038249039793[/C][C]45.8504166666667[/C][C]0.998983831204281[/C][C]0.999261526650881[/C][/ROW]
[ROW][C]44[/C][C]45.77[/C][C]45.8558026801517[/C][C]45.92875[/C][C]0.998411728604669[/C][C]0.99812885883276[/C][/ROW]
[ROW][C]45[/C][C]46.09[/C][C]45.9864901072686[/C][C]46.0033333333333[/C][C]0.999633869442837[/C][C]1.00225087612666[/C][/ROW]
[ROW][C]46[/C][C]46.25[/C][C]46.1666438907308[/C][C]46.0691666666667[/C][C]1.00211588858920[/C][C]1.00180554838395[/C][/ROW]
[ROW][C]47[/C][C]46.28[/C][C]46.2014565004825[/C][C]46.12375[/C][C]1.00168473943429[/C][C]1.00170002215226[/C][/ROW]
[ROW][C]48[/C][C]46.29[/C][C]46.2084983177356[/C][C]46.1725[/C][C]1.00077964844303[/C][C]1.00176378123574[/C][/ROW]
[ROW][C]49[/C][C]46.29[/C][C]46.2151499455862[/C][C]46.22375[/C][C]0.99981394728005[/C][C]1.00161959994724[/C][/ROW]
[ROW][C]50[/C][C]46.29[/C][C]46.2321012777759[/C][C]46.2820833333333[/C][C]0.998920056057169[/C][C]1.00125234892259[/C][/ROW]
[ROW][C]51[/C][C]46.3[/C][C]46.3032425141454[/C][C]46.3341666666667[/C][C]0.999332584251624[/C][C]0.99992997220131[/C][/ROW]
[ROW][C]52[/C][C]46.34[/C][C]46.3899692743303[/C][C]46.3720833333333[/C][C]1.00038570492657[/C][C]0.998922843125099[/C][/ROW]
[ROW][C]53[/C][C]46.34[/C][C]46.4233072632501[/C][C]46.4054166666667[/C][C]1.00038552819624[/C][C]0.998205486249014[/C][/ROW]
[ROW][C]54[/C][C]46.35[/C][C]46.418800392395[/C][C]46.4395833333333[/C][C]0.999552473570032[/C][C]0.998517833468048[/C][/ROW]
[ROW][C]55[/C][C]46.42[/C][C]46.428189798482[/C][C]46.4754166666667[/C][C]0.998983831204281[/C][C]0.999823602890452[/C][/ROW]
[ROW][C]56[/C][C]46.52[/C][C]46.4373775120639[/C][C]46.51125[/C][C]0.998411728604669[/C][C]1.00177922381415[/C][/ROW]
[ROW][C]57[/C][C]46.59[/C][C]46.531290566115[/C][C]46.5483333333333[/C][C]0.999633869442837[/C][C]1.00126171944020[/C][/ROW]
[ROW][C]58[/C][C]46.66[/C][C]46.6889967976579[/C][C]46.5904166666667[/C][C]1.00211588858920[/C][C]0.999378937230466[/C][/ROW]
[ROW][C]59[/C][C]46.67[/C][C]46.7202457217811[/C][C]46.6416666666667[/C][C]1.00168473943429[/C][C]0.998924540720947[/C][/ROW]
[ROW][C]60[/C][C]46.72[/C][C]46.7343246246884[/C][C]46.6979166666667[/C][C]1.00077964844303[/C][C]0.999693488141672[/C][/ROW]
[ROW][C]61[/C][C]46.72[/C][C]46.7429683919212[/C][C]46.7516666666667[/C][C]0.99981394728005[/C][C]0.999508623591711[/C][/ROW]
[ROW][C]62[/C][C]46.72[/C][C]46.7544532237558[/C][C]46.805[/C][C]0.998920056057169[/C][C]0.999263102840902[/C][/ROW]
[ROW][C]63[/C][C]46.76[/C][C]46.8274757323008[/C][C]46.85875[/C][C]0.999332584251624[/C][C]0.998559056809158[/C][/ROW]
[ROW][C]64[/C][C]46.89[/C][C]46.9506020964662[/C][C]46.9325[/C][C]1.00038570492657[/C][C]0.99870923707556[/C][/ROW]
[ROW][C]65[/C][C]47.02[/C][C]47.0485482183728[/C][C]47.0304166666667[/C][C]1.00038552819624[/C][C]0.999393217868482[/C][/ROW]
[ROW][C]66[/C][C]47.02[/C][C]47.1093245595529[/C][C]47.1304166666667[/C][C]0.999552473570032[/C][C]0.998103887916287[/C][/ROW]
[ROW][C]67[/C][C]47.04[/C][C]NA[/C][C]NA[/C][C]0.998983831204281[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]47.18[/C][C]NA[/C][C]NA[/C][C]0.998411728604669[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]47.22[/C][C]NA[/C][C]NA[/C][C]0.999633869442837[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]47.8[/C][C]NA[/C][C]NA[/C][C]1.00211588858920[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]47.88[/C][C]NA[/C][C]NA[/C][C]1.00168473943429[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]47.91[/C][C]NA[/C][C]NA[/C][C]1.00077964844303[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13067&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13067&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
t	Observations	Fit	Trend	Seasonal	Random
1	44.13	NA	NA	0.99981394728005	NA
2	44.13	NA	NA	0.998920056057169	NA
3	44.14	NA	NA	0.999332584251624	NA
4	44.14	NA	NA	1.00038570492657	NA
5	44.14	NA	NA	1.00038552819624	NA
6	44.14	NA	NA	0.999552473570032	NA
7	44.15	44.1409330682872	44.1858333333333	0.998983831204281	1.00020540870078
8	44.17	44.1289663945525	44.1991666666667	0.998411728604669	1.00092985648204
9	44.19	44.1958959386291	44.2120833333333	0.999633869442837	0.999866595336424
10	44.26	44.3194102694314	44.2258333333333	1.00211588858920	0.998659497744437
11	44.27	44.3157849784974	44.24125	1.00168473943429	0.998966847173764
12	44.29	44.2920052909672	44.2575	1.00077964844303	0.999954725667667
13	44.29	44.2655127483901	44.27375	0.99981394728005	1.00055319028493
14	44.29	44.2409206327019	44.28875	0.998920056057169	1.00110936586753
15	44.29	44.2737645909611	44.3033333333333	0.999332584251624	1.00036670495922
16	44.32	44.3366776149685	44.3195833333333	1.00038570492657	0.999623841571682
17	44.33	44.3554270110078	44.3383333333333	1.00038552819624	0.999426744082488
18	44.34	44.3376488463827	44.3575	0.999552473570032	1.00005302837833
19	44.34	44.330739996216	44.3758333333333	0.998983831204281	1.00020888448478
20	44.34	44.3240726865173	44.3945833333333	0.998411728604669	1.00035933777104
21	44.37	44.4049860229876	44.42125	0.999633869442837	0.999212114987053
22	44.47	44.554072406676	44.46	1.00211588858920	0.99811302531655
23	44.51	44.5803966971646	44.5054166666667	1.00168473943429	0.998420904649125
24	44.51	44.5876522787781	44.5529166666667	1.00077964844303	0.998258435355766
25	44.51	44.5933684052691	44.6016666666667	0.99981394728005	0.998130475264586
26	44.52	44.6034453697127	44.6516666666667	0.998920056057169	0.9981291721072
27	44.7	44.6709992932011	44.7008333333333	0.999332584251624	1.00064920658274
28	44.84	44.7760136703821	44.75875	1.00038570492657	1.00142903140259
29	44.9	44.8443654379137	44.8270833333333	1.00038552819624	1.00124061432340
30	44.91	44.8761577415186	44.89625	0.999552473570032	1.00075412557992
31	44.94	44.9197242133635	44.9654166666667	0.998983831204281	1.00045137825291
32	44.94	44.9634721977112	45.035	0.998411728604669	0.999477971861069
33	44.95	45.0843205400965	45.1008333333333	0.999633869442837	0.997020681725102
34	45.28	45.2597290115576	45.1641666666667	1.00211588858920	1.00044788134806
35	45.34	45.3082876078202	45.2320833333333	1.00168473943429	1.00069992475669
36	45.34	45.3386540066306	45.3033333333333	1.00077964844303	1.00002968754585
37	45.34	45.3653080903982	45.37375	0.99981394728005	0.99944212678226
38	45.36	45.3938408640679	45.4429166666667	0.998920056057169	0.999254505381705
39	45.44	45.4946158980552	45.525	0.999332584251624	0.998799508535745
40	45.62	45.6305097933402	45.6129166666667	1.00038570492657	0.999769676179648
41	45.75	45.7101157471069	45.6925	1.00038552819624	1.00087254762411
42	45.77	45.7507661558923	45.77125	0.999552473570032	1.00042040485272
43	45.77	45.8038249039793	45.8504166666667	0.998983831204281	0.999261526650881
44	45.77	45.8558026801517	45.92875	0.998411728604669	0.99812885883276
45	46.09	45.9864901072686	46.0033333333333	0.999633869442837	1.00225087612666
46	46.25	46.1666438907308	46.0691666666667	1.00211588858920	1.00180554838395
47	46.28	46.2014565004825	46.12375	1.00168473943429	1.00170002215226
48	46.29	46.2084983177356	46.1725	1.00077964844303	1.00176378123574
49	46.29	46.2151499455862	46.22375	0.99981394728005	1.00161959994724
50	46.29	46.2321012777759	46.2820833333333	0.998920056057169	1.00125234892259
51	46.3	46.3032425141454	46.3341666666667	0.999332584251624	0.99992997220131
52	46.34	46.3899692743303	46.3720833333333	1.00038570492657	0.998922843125099
53	46.34	46.4233072632501	46.4054166666667	1.00038552819624	0.998205486249014
54	46.35	46.418800392395	46.4395833333333	0.999552473570032	0.998517833468048
55	46.42	46.428189798482	46.4754166666667	0.998983831204281	0.999823602890452
56	46.52	46.4373775120639	46.51125	0.998411728604669	1.00177922381415
57	46.59	46.531290566115	46.5483333333333	0.999633869442837	1.00126171944020
58	46.66	46.6889967976579	46.5904166666667	1.00211588858920	0.999378937230466
59	46.67	46.7202457217811	46.6416666666667	1.00168473943429	0.998924540720947
60	46.72	46.7343246246884	46.6979166666667	1.00077964844303	0.999693488141672
61	46.72	46.7429683919212	46.7516666666667	0.99981394728005	0.999508623591711
62	46.72	46.7544532237558	46.805	0.998920056057169	0.999263102840902
63	46.76	46.8274757323008	46.85875	0.999332584251624	0.998559056809158
64	46.89	46.9506020964662	46.9325	1.00038570492657	0.99870923707556
65	47.02	47.0485482183728	47.0304166666667	1.00038552819624	0.999393217868482
66	47.02	47.1093245595529	47.1304166666667	0.999552473570032	0.998103887916287
67	47.04	NA	NA	0.998983831204281	NA
68	47.18	NA	NA	0.998411728604669	NA
69	47.22	NA	NA	0.999633869442837	NA
70	47.8	NA	NA	1.00211588858920	NA
71	47.88	NA	NA	1.00168473943429	NA
72	47.91	NA	NA	1.00077964844303	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code