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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 09 Dec 2013 03:56:52 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/09/t1386579550wowtp4uhiea9req.htm/, Retrieved Wed, 11 Feb 2026 14:50:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231569, Retrieved Wed, 11 Feb 2026 14:50:19 +0000

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No (this computation is public)

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Estimated Impact

364

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

-       [Classical Decomposition] [] [2013-12-09 08:56:52] [54713e3426a13268f2edfca2b563126c] [Current]

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Dataseries X:

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0,43
0,45
0,44
0,44
0,44
0,48
0,47
0,47
0,47
0,49
0,49
0,46
0,45
0,44
0,42
0,43
0,43
0,47
0,47
0,47
0,47
0,48
0,48
0,48
0,49
0,49
0,47
0,5
0,51
0,5
0,49
0,5
0,51
0,51
0,5
0,53
0,5
0,49
0,46
0,46
0,47
0,49
0,5
0,5
0,51
0,5
0,52
0,5
0,48
0,47
0,43
0,42
0,45
0,5
0,52
0,52
0,51
0,52
0,52
0,51
0,51
0,51
0,48
0,49
0,47
0,51
0,5
0,51
0,51
0,52
0,51
0,52
0,48
0,49
0,47
0,44
0,44
0,47
0,51
0,51
0,52
0,52
0,52
0,52

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	8 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 8 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231569&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231569&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231569&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	8 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	0.43	NA	NA	0.000439815	NA
2	0.45	NA	NA	-0.00344907	NA
3	0.44	NA	NA	-0.0307407	NA
4	0.44	NA	NA	-0.0296296	NA
5	0.44	NA	NA	-0.0250463	NA
6	0.48	NA	NA	0.00266204	NA
7	0.47	0.470231	0.461667	0.00856481	-0.000231481
8	0.47	0.473356	0.462083	0.0112731	-0.00335648
9	0.47	0.473287	0.460833	0.0124537	-0.00328704
10	0.49	0.478495	0.459583	0.018912	0.0115046
11	0.49	0.477662	0.45875	0.018912	0.012338
12	0.46	0.473565	0.457917	0.0156481	-0.0135648
13	0.45	0.45794	0.4575	0.000439815	-0.00793981
14	0.44	0.454051	0.4575	-0.00344907	-0.0140509
15	0.42	0.426759	0.4575	-0.0307407	-0.00675926
16	0.43	0.427454	0.457083	-0.0296296	0.0025463
17	0.43	0.431204	0.45625	-0.0250463	-0.0012037
18	0.47	0.459329	0.456667	0.00266204	0.0106713
19	0.47	0.467731	0.459167	0.00856481	0.00226852
20	0.47	0.47419	0.462917	0.0112731	-0.00418981
21	0.47	0.479537	0.467083	0.0124537	-0.00953704
22	0.48	0.490995	0.472083	0.018912	-0.0109954
23	0.48	0.497245	0.478333	0.018912	-0.0172454
24	0.48	0.498565	0.482917	0.0156481	-0.0185648
25	0.49	0.48544	0.485	0.000439815	0.00456019
26	0.49	0.483634	0.487083	-0.00344907	0.00636574
27	0.47	0.459259	0.49	-0.0307407	0.0107407
28	0.5	0.463287	0.492917	-0.0296296	0.036713
29	0.51	0.469954	0.495	-0.0250463	0.0400463
30	0.5	0.500579	0.497917	0.00266204	-0.000578704
31	0.49	0.508981	0.500417	0.00856481	-0.0189815
32	0.5	0.512106	0.500833	0.0112731	-0.0121065
33	0.51	0.51287	0.500417	0.0124537	-0.00287037
34	0.51	0.517245	0.498333	0.018912	-0.00724537
35	0.5	0.513912	0.495	0.018912	-0.013912
36	0.53	0.508565	0.492917	0.0156481	0.0214352
37	0.5	0.493356	0.492917	0.000439815	0.00664352
38	0.49	0.489884	0.493333	-0.00344907	0.000115741
39	0.46	0.462593	0.493333	-0.0307407	-0.00259259
40	0.46	0.463287	0.492917	-0.0296296	-0.00328704
41	0.47	0.468287	0.493333	-0.0250463	0.00171296
42	0.49	0.495579	0.492917	0.00266204	-0.0055787
43	0.5	0.499398	0.490833	0.00856481	0.000601852
44	0.5	0.50044	0.489167	0.0112731	-0.000439815
45	0.51	0.499537	0.487083	0.0124537	0.010463
46	0.5	0.503079	0.484167	0.018912	-0.0030787
47	0.52	0.500579	0.481667	0.018912	0.0194213
48	0.5	0.496898	0.48125	0.0156481	0.00310185
49	0.48	0.48294	0.4825	0.000439815	-0.00293981
50	0.47	0.480718	0.484167	-0.00344907	-0.0107176
51	0.43	0.454259	0.485	-0.0307407	-0.0242593
52	0.42	0.456204	0.485833	-0.0296296	-0.0362037
53	0.45	0.46162	0.486667	-0.0250463	-0.0116204
54	0.5	0.489745	0.487083	0.00266204	0.0102546
55	0.52	0.497315	0.48875	0.00856481	0.0226852
56	0.52	0.50294	0.491667	0.0112731	0.0170602
57	0.51	0.50787	0.495417	0.0124537	0.00212963
58	0.52	0.519329	0.500417	0.018912	0.000671296
59	0.52	0.523079	0.504167	0.018912	-0.0030787
60	0.51	0.521065	0.505417	0.0156481	-0.0110648
61	0.51	0.50544	0.505	0.000439815	0.00456019
62	0.51	0.500301	0.50375	-0.00344907	0.00969907
63	0.48	0.472593	0.503333	-0.0307407	0.00740741
64	0.49	0.473704	0.503333	-0.0296296	0.0162963
65	0.47	0.47787	0.502917	-0.0250463	-0.00787037
66	0.51	0.505579	0.502917	0.00266204	0.0044213
67	0.5	0.510648	0.502083	0.00856481	-0.0106481
68	0.51	0.511273	0.5	0.0112731	-0.00127315
69	0.51	0.511204	0.49875	0.0124537	-0.0012037
70	0.52	0.515162	0.49625	0.018912	0.00483796
71	0.51	0.511829	0.492917	0.018912	-0.0018287
72	0.52	0.505648	0.49	0.0156481	0.0143519
73	0.48	0.48919	0.48875	0.000439815	-0.00918981
74	0.49	0.485718	0.489167	-0.00344907	0.00428241
75	0.47	0.458843	0.489583	-0.0307407	0.0111574
76	0.44	0.46037	0.49	-0.0296296	-0.0203704
77	0.44	0.46537	0.490417	-0.0250463	-0.0253704
78	0.47	0.493495	0.490833	0.00266204	-0.0234954
79	0.51	NA	NA	0.00856481	NA
80	0.51	NA	NA	0.0112731	NA
81	0.52	NA	NA	0.0124537	NA
82	0.52	NA	NA	0.018912	NA
83	0.52	NA	NA	0.018912	NA
84	0.52	NA	NA	0.0156481	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 0.43 & NA & NA & 0.000439815 & NA \tabularnewline
2 & 0.45 & NA & NA & -0.00344907 & NA \tabularnewline
3 & 0.44 & NA & NA & -0.0307407 & NA \tabularnewline
4 & 0.44 & NA & NA & -0.0296296 & NA \tabularnewline
5 & 0.44 & NA & NA & -0.0250463 & NA \tabularnewline
6 & 0.48 & NA & NA & 0.00266204 & NA \tabularnewline
7 & 0.47 & 0.470231 & 0.461667 & 0.00856481 & -0.000231481 \tabularnewline
8 & 0.47 & 0.473356 & 0.462083 & 0.0112731 & -0.00335648 \tabularnewline
9 & 0.47 & 0.473287 & 0.460833 & 0.0124537 & -0.00328704 \tabularnewline
10 & 0.49 & 0.478495 & 0.459583 & 0.018912 & 0.0115046 \tabularnewline
11 & 0.49 & 0.477662 & 0.45875 & 0.018912 & 0.012338 \tabularnewline
12 & 0.46 & 0.473565 & 0.457917 & 0.0156481 & -0.0135648 \tabularnewline
13 & 0.45 & 0.45794 & 0.4575 & 0.000439815 & -0.00793981 \tabularnewline
14 & 0.44 & 0.454051 & 0.4575 & -0.00344907 & -0.0140509 \tabularnewline
15 & 0.42 & 0.426759 & 0.4575 & -0.0307407 & -0.00675926 \tabularnewline
16 & 0.43 & 0.427454 & 0.457083 & -0.0296296 & 0.0025463 \tabularnewline
17 & 0.43 & 0.431204 & 0.45625 & -0.0250463 & -0.0012037 \tabularnewline
18 & 0.47 & 0.459329 & 0.456667 & 0.00266204 & 0.0106713 \tabularnewline
19 & 0.47 & 0.467731 & 0.459167 & 0.00856481 & 0.00226852 \tabularnewline
20 & 0.47 & 0.47419 & 0.462917 & 0.0112731 & -0.00418981 \tabularnewline
21 & 0.47 & 0.479537 & 0.467083 & 0.0124537 & -0.00953704 \tabularnewline
22 & 0.48 & 0.490995 & 0.472083 & 0.018912 & -0.0109954 \tabularnewline
23 & 0.48 & 0.497245 & 0.478333 & 0.018912 & -0.0172454 \tabularnewline
24 & 0.48 & 0.498565 & 0.482917 & 0.0156481 & -0.0185648 \tabularnewline
25 & 0.49 & 0.48544 & 0.485 & 0.000439815 & 0.00456019 \tabularnewline
26 & 0.49 & 0.483634 & 0.487083 & -0.00344907 & 0.00636574 \tabularnewline
27 & 0.47 & 0.459259 & 0.49 & -0.0307407 & 0.0107407 \tabularnewline
28 & 0.5 & 0.463287 & 0.492917 & -0.0296296 & 0.036713 \tabularnewline
29 & 0.51 & 0.469954 & 0.495 & -0.0250463 & 0.0400463 \tabularnewline
30 & 0.5 & 0.500579 & 0.497917 & 0.00266204 & -0.000578704 \tabularnewline
31 & 0.49 & 0.508981 & 0.500417 & 0.00856481 & -0.0189815 \tabularnewline
32 & 0.5 & 0.512106 & 0.500833 & 0.0112731 & -0.0121065 \tabularnewline
33 & 0.51 & 0.51287 & 0.500417 & 0.0124537 & -0.00287037 \tabularnewline
34 & 0.51 & 0.517245 & 0.498333 & 0.018912 & -0.00724537 \tabularnewline
35 & 0.5 & 0.513912 & 0.495 & 0.018912 & -0.013912 \tabularnewline
36 & 0.53 & 0.508565 & 0.492917 & 0.0156481 & 0.0214352 \tabularnewline
37 & 0.5 & 0.493356 & 0.492917 & 0.000439815 & 0.00664352 \tabularnewline
38 & 0.49 & 0.489884 & 0.493333 & -0.00344907 & 0.000115741 \tabularnewline
39 & 0.46 & 0.462593 & 0.493333 & -0.0307407 & -0.00259259 \tabularnewline
40 & 0.46 & 0.463287 & 0.492917 & -0.0296296 & -0.00328704 \tabularnewline
41 & 0.47 & 0.468287 & 0.493333 & -0.0250463 & 0.00171296 \tabularnewline
42 & 0.49 & 0.495579 & 0.492917 & 0.00266204 & -0.0055787 \tabularnewline
43 & 0.5 & 0.499398 & 0.490833 & 0.00856481 & 0.000601852 \tabularnewline
44 & 0.5 & 0.50044 & 0.489167 & 0.0112731 & -0.000439815 \tabularnewline
45 & 0.51 & 0.499537 & 0.487083 & 0.0124537 & 0.010463 \tabularnewline
46 & 0.5 & 0.503079 & 0.484167 & 0.018912 & -0.0030787 \tabularnewline
47 & 0.52 & 0.500579 & 0.481667 & 0.018912 & 0.0194213 \tabularnewline
48 & 0.5 & 0.496898 & 0.48125 & 0.0156481 & 0.00310185 \tabularnewline
49 & 0.48 & 0.48294 & 0.4825 & 0.000439815 & -0.00293981 \tabularnewline
50 & 0.47 & 0.480718 & 0.484167 & -0.00344907 & -0.0107176 \tabularnewline
51 & 0.43 & 0.454259 & 0.485 & -0.0307407 & -0.0242593 \tabularnewline
52 & 0.42 & 0.456204 & 0.485833 & -0.0296296 & -0.0362037 \tabularnewline
53 & 0.45 & 0.46162 & 0.486667 & -0.0250463 & -0.0116204 \tabularnewline
54 & 0.5 & 0.489745 & 0.487083 & 0.00266204 & 0.0102546 \tabularnewline
55 & 0.52 & 0.497315 & 0.48875 & 0.00856481 & 0.0226852 \tabularnewline
56 & 0.52 & 0.50294 & 0.491667 & 0.0112731 & 0.0170602 \tabularnewline
57 & 0.51 & 0.50787 & 0.495417 & 0.0124537 & 0.00212963 \tabularnewline
58 & 0.52 & 0.519329 & 0.500417 & 0.018912 & 0.000671296 \tabularnewline
59 & 0.52 & 0.523079 & 0.504167 & 0.018912 & -0.0030787 \tabularnewline
60 & 0.51 & 0.521065 & 0.505417 & 0.0156481 & -0.0110648 \tabularnewline
61 & 0.51 & 0.50544 & 0.505 & 0.000439815 & 0.00456019 \tabularnewline
62 & 0.51 & 0.500301 & 0.50375 & -0.00344907 & 0.00969907 \tabularnewline
63 & 0.48 & 0.472593 & 0.503333 & -0.0307407 & 0.00740741 \tabularnewline
64 & 0.49 & 0.473704 & 0.503333 & -0.0296296 & 0.0162963 \tabularnewline
65 & 0.47 & 0.47787 & 0.502917 & -0.0250463 & -0.00787037 \tabularnewline
66 & 0.51 & 0.505579 & 0.502917 & 0.00266204 & 0.0044213 \tabularnewline
67 & 0.5 & 0.510648 & 0.502083 & 0.00856481 & -0.0106481 \tabularnewline
68 & 0.51 & 0.511273 & 0.5 & 0.0112731 & -0.00127315 \tabularnewline
69 & 0.51 & 0.511204 & 0.49875 & 0.0124537 & -0.0012037 \tabularnewline
70 & 0.52 & 0.515162 & 0.49625 & 0.018912 & 0.00483796 \tabularnewline
71 & 0.51 & 0.511829 & 0.492917 & 0.018912 & -0.0018287 \tabularnewline
72 & 0.52 & 0.505648 & 0.49 & 0.0156481 & 0.0143519 \tabularnewline
73 & 0.48 & 0.48919 & 0.48875 & 0.000439815 & -0.00918981 \tabularnewline
74 & 0.49 & 0.485718 & 0.489167 & -0.00344907 & 0.00428241 \tabularnewline
75 & 0.47 & 0.458843 & 0.489583 & -0.0307407 & 0.0111574 \tabularnewline
76 & 0.44 & 0.46037 & 0.49 & -0.0296296 & -0.0203704 \tabularnewline
77 & 0.44 & 0.46537 & 0.490417 & -0.0250463 & -0.0253704 \tabularnewline
78 & 0.47 & 0.493495 & 0.490833 & 0.00266204 & -0.0234954 \tabularnewline
79 & 0.51 & NA & NA & 0.00856481 & NA \tabularnewline
80 & 0.51 & NA & NA & 0.0112731 & NA \tabularnewline
81 & 0.52 & NA & NA & 0.0124537 & NA \tabularnewline
82 & 0.52 & NA & NA & 0.018912 & NA \tabularnewline
83 & 0.52 & NA & NA & 0.018912 & NA \tabularnewline
84 & 0.52 & NA & NA & 0.0156481 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231569&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]0.43[/C][C]NA[/C][C]NA[/C][C]0.000439815[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]0.45[/C][C]NA[/C][C]NA[/C][C]-0.00344907[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]0.44[/C][C]NA[/C][C]NA[/C][C]-0.0307407[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]0.44[/C][C]NA[/C][C]NA[/C][C]-0.0296296[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]0.44[/C][C]NA[/C][C]NA[/C][C]-0.0250463[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]0.48[/C][C]NA[/C][C]NA[/C][C]0.00266204[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]0.47[/C][C]0.470231[/C][C]0.461667[/C][C]0.00856481[/C][C]-0.000231481[/C][/ROW]
[ROW][C]8[/C][C]0.47[/C][C]0.473356[/C][C]0.462083[/C][C]0.0112731[/C][C]-0.00335648[/C][/ROW]
[ROW][C]9[/C][C]0.47[/C][C]0.473287[/C][C]0.460833[/C][C]0.0124537[/C][C]-0.00328704[/C][/ROW]
[ROW][C]10[/C][C]0.49[/C][C]0.478495[/C][C]0.459583[/C][C]0.018912[/C][C]0.0115046[/C][/ROW]
[ROW][C]11[/C][C]0.49[/C][C]0.477662[/C][C]0.45875[/C][C]0.018912[/C][C]0.012338[/C][/ROW]
[ROW][C]12[/C][C]0.46[/C][C]0.473565[/C][C]0.457917[/C][C]0.0156481[/C][C]-0.0135648[/C][/ROW]
[ROW][C]13[/C][C]0.45[/C][C]0.45794[/C][C]0.4575[/C][C]0.000439815[/C][C]-0.00793981[/C][/ROW]
[ROW][C]14[/C][C]0.44[/C][C]0.454051[/C][C]0.4575[/C][C]-0.00344907[/C][C]-0.0140509[/C][/ROW]
[ROW][C]15[/C][C]0.42[/C][C]0.426759[/C][C]0.4575[/C][C]-0.0307407[/C][C]-0.00675926[/C][/ROW]
[ROW][C]16[/C][C]0.43[/C][C]0.427454[/C][C]0.457083[/C][C]-0.0296296[/C][C]0.0025463[/C][/ROW]
[ROW][C]17[/C][C]0.43[/C][C]0.431204[/C][C]0.45625[/C][C]-0.0250463[/C][C]-0.0012037[/C][/ROW]
[ROW][C]18[/C][C]0.47[/C][C]0.459329[/C][C]0.456667[/C][C]0.00266204[/C][C]0.0106713[/C][/ROW]
[ROW][C]19[/C][C]0.47[/C][C]0.467731[/C][C]0.459167[/C][C]0.00856481[/C][C]0.00226852[/C][/ROW]
[ROW][C]20[/C][C]0.47[/C][C]0.47419[/C][C]0.462917[/C][C]0.0112731[/C][C]-0.00418981[/C][/ROW]
[ROW][C]21[/C][C]0.47[/C][C]0.479537[/C][C]0.467083[/C][C]0.0124537[/C][C]-0.00953704[/C][/ROW]
[ROW][C]22[/C][C]0.48[/C][C]0.490995[/C][C]0.472083[/C][C]0.018912[/C][C]-0.0109954[/C][/ROW]
[ROW][C]23[/C][C]0.48[/C][C]0.497245[/C][C]0.478333[/C][C]0.018912[/C][C]-0.0172454[/C][/ROW]
[ROW][C]24[/C][C]0.48[/C][C]0.498565[/C][C]0.482917[/C][C]0.0156481[/C][C]-0.0185648[/C][/ROW]
[ROW][C]25[/C][C]0.49[/C][C]0.48544[/C][C]0.485[/C][C]0.000439815[/C][C]0.00456019[/C][/ROW]
[ROW][C]26[/C][C]0.49[/C][C]0.483634[/C][C]0.487083[/C][C]-0.00344907[/C][C]0.00636574[/C][/ROW]
[ROW][C]27[/C][C]0.47[/C][C]0.459259[/C][C]0.49[/C][C]-0.0307407[/C][C]0.0107407[/C][/ROW]
[ROW][C]28[/C][C]0.5[/C][C]0.463287[/C][C]0.492917[/C][C]-0.0296296[/C][C]0.036713[/C][/ROW]
[ROW][C]29[/C][C]0.51[/C][C]0.469954[/C][C]0.495[/C][C]-0.0250463[/C][C]0.0400463[/C][/ROW]
[ROW][C]30[/C][C]0.5[/C][C]0.500579[/C][C]0.497917[/C][C]0.00266204[/C][C]-0.000578704[/C][/ROW]
[ROW][C]31[/C][C]0.49[/C][C]0.508981[/C][C]0.500417[/C][C]0.00856481[/C][C]-0.0189815[/C][/ROW]
[ROW][C]32[/C][C]0.5[/C][C]0.512106[/C][C]0.500833[/C][C]0.0112731[/C][C]-0.0121065[/C][/ROW]
[ROW][C]33[/C][C]0.51[/C][C]0.51287[/C][C]0.500417[/C][C]0.0124537[/C][C]-0.00287037[/C][/ROW]
[ROW][C]34[/C][C]0.51[/C][C]0.517245[/C][C]0.498333[/C][C]0.018912[/C][C]-0.00724537[/C][/ROW]
[ROW][C]35[/C][C]0.5[/C][C]0.513912[/C][C]0.495[/C][C]0.018912[/C][C]-0.013912[/C][/ROW]
[ROW][C]36[/C][C]0.53[/C][C]0.508565[/C][C]0.492917[/C][C]0.0156481[/C][C]0.0214352[/C][/ROW]
[ROW][C]37[/C][C]0.5[/C][C]0.493356[/C][C]0.492917[/C][C]0.000439815[/C][C]0.00664352[/C][/ROW]
[ROW][C]38[/C][C]0.49[/C][C]0.489884[/C][C]0.493333[/C][C]-0.00344907[/C][C]0.000115741[/C][/ROW]
[ROW][C]39[/C][C]0.46[/C][C]0.462593[/C][C]0.493333[/C][C]-0.0307407[/C][C]-0.00259259[/C][/ROW]
[ROW][C]40[/C][C]0.46[/C][C]0.463287[/C][C]0.492917[/C][C]-0.0296296[/C][C]-0.00328704[/C][/ROW]
[ROW][C]41[/C][C]0.47[/C][C]0.468287[/C][C]0.493333[/C][C]-0.0250463[/C][C]0.00171296[/C][/ROW]
[ROW][C]42[/C][C]0.49[/C][C]0.495579[/C][C]0.492917[/C][C]0.00266204[/C][C]-0.0055787[/C][/ROW]
[ROW][C]43[/C][C]0.5[/C][C]0.499398[/C][C]0.490833[/C][C]0.00856481[/C][C]0.000601852[/C][/ROW]
[ROW][C]44[/C][C]0.5[/C][C]0.50044[/C][C]0.489167[/C][C]0.0112731[/C][C]-0.000439815[/C][/ROW]
[ROW][C]45[/C][C]0.51[/C][C]0.499537[/C][C]0.487083[/C][C]0.0124537[/C][C]0.010463[/C][/ROW]
[ROW][C]46[/C][C]0.5[/C][C]0.503079[/C][C]0.484167[/C][C]0.018912[/C][C]-0.0030787[/C][/ROW]
[ROW][C]47[/C][C]0.52[/C][C]0.500579[/C][C]0.481667[/C][C]0.018912[/C][C]0.0194213[/C][/ROW]
[ROW][C]48[/C][C]0.5[/C][C]0.496898[/C][C]0.48125[/C][C]0.0156481[/C][C]0.00310185[/C][/ROW]
[ROW][C]49[/C][C]0.48[/C][C]0.48294[/C][C]0.4825[/C][C]0.000439815[/C][C]-0.00293981[/C][/ROW]
[ROW][C]50[/C][C]0.47[/C][C]0.480718[/C][C]0.484167[/C][C]-0.00344907[/C][C]-0.0107176[/C][/ROW]
[ROW][C]51[/C][C]0.43[/C][C]0.454259[/C][C]0.485[/C][C]-0.0307407[/C][C]-0.0242593[/C][/ROW]
[ROW][C]52[/C][C]0.42[/C][C]0.456204[/C][C]0.485833[/C][C]-0.0296296[/C][C]-0.0362037[/C][/ROW]
[ROW][C]53[/C][C]0.45[/C][C]0.46162[/C][C]0.486667[/C][C]-0.0250463[/C][C]-0.0116204[/C][/ROW]
[ROW][C]54[/C][C]0.5[/C][C]0.489745[/C][C]0.487083[/C][C]0.00266204[/C][C]0.0102546[/C][/ROW]
[ROW][C]55[/C][C]0.52[/C][C]0.497315[/C][C]0.48875[/C][C]0.00856481[/C][C]0.0226852[/C][/ROW]
[ROW][C]56[/C][C]0.52[/C][C]0.50294[/C][C]0.491667[/C][C]0.0112731[/C][C]0.0170602[/C][/ROW]
[ROW][C]57[/C][C]0.51[/C][C]0.50787[/C][C]0.495417[/C][C]0.0124537[/C][C]0.00212963[/C][/ROW]
[ROW][C]58[/C][C]0.52[/C][C]0.519329[/C][C]0.500417[/C][C]0.018912[/C][C]0.000671296[/C][/ROW]
[ROW][C]59[/C][C]0.52[/C][C]0.523079[/C][C]0.504167[/C][C]0.018912[/C][C]-0.0030787[/C][/ROW]
[ROW][C]60[/C][C]0.51[/C][C]0.521065[/C][C]0.505417[/C][C]0.0156481[/C][C]-0.0110648[/C][/ROW]
[ROW][C]61[/C][C]0.51[/C][C]0.50544[/C][C]0.505[/C][C]0.000439815[/C][C]0.00456019[/C][/ROW]
[ROW][C]62[/C][C]0.51[/C][C]0.500301[/C][C]0.50375[/C][C]-0.00344907[/C][C]0.00969907[/C][/ROW]
[ROW][C]63[/C][C]0.48[/C][C]0.472593[/C][C]0.503333[/C][C]-0.0307407[/C][C]0.00740741[/C][/ROW]
[ROW][C]64[/C][C]0.49[/C][C]0.473704[/C][C]0.503333[/C][C]-0.0296296[/C][C]0.0162963[/C][/ROW]
[ROW][C]65[/C][C]0.47[/C][C]0.47787[/C][C]0.502917[/C][C]-0.0250463[/C][C]-0.00787037[/C][/ROW]
[ROW][C]66[/C][C]0.51[/C][C]0.505579[/C][C]0.502917[/C][C]0.00266204[/C][C]0.0044213[/C][/ROW]
[ROW][C]67[/C][C]0.5[/C][C]0.510648[/C][C]0.502083[/C][C]0.00856481[/C][C]-0.0106481[/C][/ROW]
[ROW][C]68[/C][C]0.51[/C][C]0.511273[/C][C]0.5[/C][C]0.0112731[/C][C]-0.00127315[/C][/ROW]
[ROW][C]69[/C][C]0.51[/C][C]0.511204[/C][C]0.49875[/C][C]0.0124537[/C][C]-0.0012037[/C][/ROW]
[ROW][C]70[/C][C]0.52[/C][C]0.515162[/C][C]0.49625[/C][C]0.018912[/C][C]0.00483796[/C][/ROW]
[ROW][C]71[/C][C]0.51[/C][C]0.511829[/C][C]0.492917[/C][C]0.018912[/C][C]-0.0018287[/C][/ROW]
[ROW][C]72[/C][C]0.52[/C][C]0.505648[/C][C]0.49[/C][C]0.0156481[/C][C]0.0143519[/C][/ROW]
[ROW][C]73[/C][C]0.48[/C][C]0.48919[/C][C]0.48875[/C][C]0.000439815[/C][C]-0.00918981[/C][/ROW]
[ROW][C]74[/C][C]0.49[/C][C]0.485718[/C][C]0.489167[/C][C]-0.00344907[/C][C]0.00428241[/C][/ROW]
[ROW][C]75[/C][C]0.47[/C][C]0.458843[/C][C]0.489583[/C][C]-0.0307407[/C][C]0.0111574[/C][/ROW]
[ROW][C]76[/C][C]0.44[/C][C]0.46037[/C][C]0.49[/C][C]-0.0296296[/C][C]-0.0203704[/C][/ROW]
[ROW][C]77[/C][C]0.44[/C][C]0.46537[/C][C]0.490417[/C][C]-0.0250463[/C][C]-0.0253704[/C][/ROW]
[ROW][C]78[/C][C]0.47[/C][C]0.493495[/C][C]0.490833[/C][C]0.00266204[/C][C]-0.0234954[/C][/ROW]
[ROW][C]79[/C][C]0.51[/C][C]NA[/C][C]NA[/C][C]0.00856481[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]0.51[/C][C]NA[/C][C]NA[/C][C]0.0112731[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]0.0124537[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]0.018912[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]0.018912[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]0.52[/C][C]NA[/C][C]NA[/C][C]0.0156481[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231569&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231569&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	0.43	NA	NA	0.000439815	NA
2	0.45	NA	NA	-0.00344907	NA
3	0.44	NA	NA	-0.0307407	NA
4	0.44	NA	NA	-0.0296296	NA
5	0.44	NA	NA	-0.0250463	NA
6	0.48	NA	NA	0.00266204	NA
7	0.47	0.470231	0.461667	0.00856481	-0.000231481
8	0.47	0.473356	0.462083	0.0112731	-0.00335648
9	0.47	0.473287	0.460833	0.0124537	-0.00328704
10	0.49	0.478495	0.459583	0.018912	0.0115046
11	0.49	0.477662	0.45875	0.018912	0.012338
12	0.46	0.473565	0.457917	0.0156481	-0.0135648
13	0.45	0.45794	0.4575	0.000439815	-0.00793981
14	0.44	0.454051	0.4575	-0.00344907	-0.0140509
15	0.42	0.426759	0.4575	-0.0307407	-0.00675926
16	0.43	0.427454	0.457083	-0.0296296	0.0025463
17	0.43	0.431204	0.45625	-0.0250463	-0.0012037
18	0.47	0.459329	0.456667	0.00266204	0.0106713
19	0.47	0.467731	0.459167	0.00856481	0.00226852
20	0.47	0.47419	0.462917	0.0112731	-0.00418981
21	0.47	0.479537	0.467083	0.0124537	-0.00953704
22	0.48	0.490995	0.472083	0.018912	-0.0109954
23	0.48	0.497245	0.478333	0.018912	-0.0172454
24	0.48	0.498565	0.482917	0.0156481	-0.0185648
25	0.49	0.48544	0.485	0.000439815	0.00456019
26	0.49	0.483634	0.487083	-0.00344907	0.00636574
27	0.47	0.459259	0.49	-0.0307407	0.0107407
28	0.5	0.463287	0.492917	-0.0296296	0.036713
29	0.51	0.469954	0.495	-0.0250463	0.0400463
30	0.5	0.500579	0.497917	0.00266204	-0.000578704
31	0.49	0.508981	0.500417	0.00856481	-0.0189815
32	0.5	0.512106	0.500833	0.0112731	-0.0121065
33	0.51	0.51287	0.500417	0.0124537	-0.00287037
34	0.51	0.517245	0.498333	0.018912	-0.00724537
35	0.5	0.513912	0.495	0.018912	-0.013912
36	0.53	0.508565	0.492917	0.0156481	0.0214352
37	0.5	0.493356	0.492917	0.000439815	0.00664352
38	0.49	0.489884	0.493333	-0.00344907	0.000115741
39	0.46	0.462593	0.493333	-0.0307407	-0.00259259
40	0.46	0.463287	0.492917	-0.0296296	-0.00328704
41	0.47	0.468287	0.493333	-0.0250463	0.00171296
42	0.49	0.495579	0.492917	0.00266204	-0.0055787
43	0.5	0.499398	0.490833	0.00856481	0.000601852
44	0.5	0.50044	0.489167	0.0112731	-0.000439815
45	0.51	0.499537	0.487083	0.0124537	0.010463
46	0.5	0.503079	0.484167	0.018912	-0.0030787
47	0.52	0.500579	0.481667	0.018912	0.0194213
48	0.5	0.496898	0.48125	0.0156481	0.00310185
49	0.48	0.48294	0.4825	0.000439815	-0.00293981
50	0.47	0.480718	0.484167	-0.00344907	-0.0107176
51	0.43	0.454259	0.485	-0.0307407	-0.0242593
52	0.42	0.456204	0.485833	-0.0296296	-0.0362037
53	0.45	0.46162	0.486667	-0.0250463	-0.0116204
54	0.5	0.489745	0.487083	0.00266204	0.0102546
55	0.52	0.497315	0.48875	0.00856481	0.0226852
56	0.52	0.50294	0.491667	0.0112731	0.0170602
57	0.51	0.50787	0.495417	0.0124537	0.00212963
58	0.52	0.519329	0.500417	0.018912	0.000671296
59	0.52	0.523079	0.504167	0.018912	-0.0030787
60	0.51	0.521065	0.505417	0.0156481	-0.0110648
61	0.51	0.50544	0.505	0.000439815	0.00456019
62	0.51	0.500301	0.50375	-0.00344907	0.00969907
63	0.48	0.472593	0.503333	-0.0307407	0.00740741
64	0.49	0.473704	0.503333	-0.0296296	0.0162963
65	0.47	0.47787	0.502917	-0.0250463	-0.00787037
66	0.51	0.505579	0.502917	0.00266204	0.0044213
67	0.5	0.510648	0.502083	0.00856481	-0.0106481
68	0.51	0.511273	0.5	0.0112731	-0.00127315
69	0.51	0.511204	0.49875	0.0124537	-0.0012037
70	0.52	0.515162	0.49625	0.018912	0.00483796
71	0.51	0.511829	0.492917	0.018912	-0.0018287
72	0.52	0.505648	0.49	0.0156481	0.0143519
73	0.48	0.48919	0.48875	0.000439815	-0.00918981
74	0.49	0.485718	0.489167	-0.00344907	0.00428241
75	0.47	0.458843	0.489583	-0.0307407	0.0111574
76	0.44	0.46037	0.49	-0.0296296	-0.0203704
77	0.44	0.46537	0.490417	-0.0250463	-0.0253704
78	0.47	0.493495	0.490833	0.00266204	-0.0234954
79	0.51	NA	NA	0.00856481	NA
80	0.51	NA	NA	0.0112731	NA
81	0.52	NA	NA	0.0124537	NA
82	0.52	NA	NA	0.018912	NA
83	0.52	NA	NA	0.018912	NA
84	0.52	NA	NA	0.0156481	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 = additive ; par2 = 12 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code