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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Fri, 11 Dec 2009 05:41:48 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/11/t1260535356p92grqkago3tz48.htm/, Retrieved Sun, 28 Apr 2024 20:45:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66111, Retrieved Sun, 28 Apr 2024 20:45:17 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

132

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]
-   PD    [Classical Decomposition] [ws 8 Ad hoc forec...] [2009-12-02 20:02:57] [616e2df490b611f6cb7080068870ecbd]
-   PD      [Classical Decomposition] [Workshop 9] [2009-12-04 12:04:03] [4fe1472705bb0a32f118ba3ca90ffa8e]
-   PD          [Classical Decomposition] [WS9] [2009-12-11 12:41:48] [ee8fc1691ecec7724e0ca78f0c288737] [Current]

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Dataseries X:

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Histogram

Boxplots

7.55
7.55
7.59
7.59
7.59
7.57
7.57
7.59
7.6
7.64
7.64
7.76
7.76
7.76
7.77
7.83
7.94
7.94
7.94
8.09
8.18
8.26
8.28
8.28
8.28
8.29
8.3
8.3
8.31
8.33
8.33
8.34
8.48
8.59
8.67
8.67
8.67
8.71
8.72
8.72
8.72
8.74
8.74
8.74
8.74
8.79
8.85
8.86
8.87
8.92
8.96
8.97
8.99
8.98
8.98
9.01
9.01
9.03
9.05
9.05

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66111&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66111&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66111&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	7.55	NA	NA	1.00224969286558	NA
2	7.55	NA	NA	1.00156200307055	NA
3	7.59	NA	NA	1.00004047069589	NA
4	7.59	NA	NA	0.998713051372467	NA
5	7.59	NA	NA	0.999531601637073	NA
6	7.57	NA	NA	0.997047943831932	NA
7	7.57	7.5574257970567	7.61208333333333	0.992819635061365	1.00166382089364
8	7.59	7.59170241165922	7.62958333333333	0.995034994701661	0.999775753636417
9	7.6	7.63678881846239	7.64583333333333	0.998817066174917	0.995182684851328
10	7.64	7.69216794636486	7.66333333333333	1.00376267242691	0.993218043764956
11	7.64	7.72557919995152	7.68791666666667	1.00489892579717	0.988922616966756
12	7.76	7.76053455767394	7.71791666666667	1.00552194236449	0.999931118446807
13	7.76	7.76618230759216	7.74875	1.00224969286558	0.99920394508559
14	7.76	7.79716019390422	7.785	1.00156200307055	0.995234137432078
15	7.77	7.83031688554878	7.83	1.00004047069589	0.992297005800608
16	7.83	7.86985884481504	7.88	0.998713051372467	0.99493525289322
17	7.94	7.92878442998608	7.9325	0.999531601637073	1.00141453839652
18	7.94	7.95727346506534	7.98083333333333	0.997047943831932	0.997829223145192
19	7.94	7.96655022167157	8.02416666666667	0.992819635061365	0.996667287479173
20	8.09	8.02785941767011	8.06791666666667	0.995034994701661	1.00774061665718
21	8.18	8.10248727556644	8.11208333333333	0.998817066174917	1.00956653454641
22	8.26	8.18442989030088	8.15375	1.00376267242691	1.00923339935854
23	8.28	8.22886607862161	8.18875	1.00489892579717	1.00621396932334
24	8.28	8.2658093337121	8.22041666666667	1.00552194236449	1.00171679090516
25	8.28	8.2714831944119	8.25291666666666	1.00224969286558	1.00102965881547
26	8.29	8.29251606792286	8.27958333333333	1.00156200307055	0.999696585704236
27	8.3	8.30283600795259	8.3025	1.00004047069589	0.999658429005478
28	8.3	8.31803132661843	8.32875	0.998713051372467	0.99783226031372
29	8.31	8.35483477518389	8.35875	0.999531601637073	0.99463367303001
30	8.33	8.3664785586797	8.39125	0.997047943831932	0.9956399148789
31	8.33	8.36326440084817	8.42375	0.992819635061365	0.996022557789181
32	8.34	8.4155084676893	8.4575	0.995034994701661	0.991027462217024
33	8.48	8.48245393449048	8.4925	0.998817066174917	0.999710704648745
34	8.59	8.55958618912044	8.5275	1.00376267242691	1.00355318705923
35	8.67	8.60402834425255	8.56208333333333	1.00489892579717	1.00766753119677
36	8.67	8.64371799705076	8.59625	1.00552194236449	1.00304059005144
37	8.67	8.64983245346865	8.63041666666667	1.00224969286558	1.00233155343064
38	8.71	8.67770012160374	8.66416666666667	1.00156200307055	1.00372217038428
39	8.72	8.69201842446507	8.69166666666667	1.00004047069589	1.00321922644068
40	8.72	8.69962293833033	8.71083333333333	0.998713051372467	1.00234229251246
41	8.72	8.7225791102862	8.72666666666667	0.999531601637073	0.999704317925515
42	8.74	8.7162762123074	8.74208333333333	0.997047943831932	1.00272178016331
43	8.74	8.69544530374578	8.75833333333333	0.992819635061365	1.00512391196746
44	8.74	8.73184667642154	8.77541666666667	0.995034994701661	1.00093374561884
45	8.74	8.78376374945325	8.79416666666667	0.998817066174917	0.99501765408297
46	8.79	8.84774972299633	8.81458333333333	1.00376267242691	0.993472947946727
47	8.85	8.87953813307528	8.83625	1.00489892579717	0.996673460642592
48	8.86	8.90641060449347	8.8575	1.00552194236449	0.994789078726051
49	8.87	8.89747164841419	8.8775	1.00224969286558	0.996912420797757
50	8.92	8.91264987482404	8.89875	1.00156200307055	1.00082468460886
51	8.96	8.92161104919567	8.92125	1.00004047069589	1.00430291688269
52	8.97	8.93099146189829	8.9425	0.998713051372467	1.00436777241005
53	8.99	8.95663609366954	8.96083333333333	0.999531601637073	1.00372504877741
54	8.98	8.9505824791079	8.97708333333333	0.997047943831932	1.00328665994205
55	8.98	NA	NA	0.992819635061365	NA
56	9.01	NA	NA	0.995034994701661	NA
57	9.01	NA	NA	0.998817066174917	NA
58	9.03	NA	NA	1.00376267242691	NA
59	9.05	NA	NA	1.00489892579717	NA
60	9.05	NA	NA	1.00552194236449	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 7.55 & NA & NA & 1.00224969286558 & NA \tabularnewline
2 & 7.55 & NA & NA & 1.00156200307055 & NA \tabularnewline
3 & 7.59 & NA & NA & 1.00004047069589 & NA \tabularnewline
4 & 7.59 & NA & NA & 0.998713051372467 & NA \tabularnewline
5 & 7.59 & NA & NA & 0.999531601637073 & NA \tabularnewline
6 & 7.57 & NA & NA & 0.997047943831932 & NA \tabularnewline
7 & 7.57 & 7.5574257970567 & 7.61208333333333 & 0.992819635061365 & 1.00166382089364 \tabularnewline
8 & 7.59 & 7.59170241165922 & 7.62958333333333 & 0.995034994701661 & 0.999775753636417 \tabularnewline
9 & 7.6 & 7.63678881846239 & 7.64583333333333 & 0.998817066174917 & 0.995182684851328 \tabularnewline
10 & 7.64 & 7.69216794636486 & 7.66333333333333 & 1.00376267242691 & 0.993218043764956 \tabularnewline
11 & 7.64 & 7.72557919995152 & 7.68791666666667 & 1.00489892579717 & 0.988922616966756 \tabularnewline
12 & 7.76 & 7.76053455767394 & 7.71791666666667 & 1.00552194236449 & 0.999931118446807 \tabularnewline
13 & 7.76 & 7.76618230759216 & 7.74875 & 1.00224969286558 & 0.99920394508559 \tabularnewline
14 & 7.76 & 7.79716019390422 & 7.785 & 1.00156200307055 & 0.995234137432078 \tabularnewline
15 & 7.77 & 7.83031688554878 & 7.83 & 1.00004047069589 & 0.992297005800608 \tabularnewline
16 & 7.83 & 7.86985884481504 & 7.88 & 0.998713051372467 & 0.99493525289322 \tabularnewline
17 & 7.94 & 7.92878442998608 & 7.9325 & 0.999531601637073 & 1.00141453839652 \tabularnewline
18 & 7.94 & 7.95727346506534 & 7.98083333333333 & 0.997047943831932 & 0.997829223145192 \tabularnewline
19 & 7.94 & 7.96655022167157 & 8.02416666666667 & 0.992819635061365 & 0.996667287479173 \tabularnewline
20 & 8.09 & 8.02785941767011 & 8.06791666666667 & 0.995034994701661 & 1.00774061665718 \tabularnewline
21 & 8.18 & 8.10248727556644 & 8.11208333333333 & 0.998817066174917 & 1.00956653454641 \tabularnewline
22 & 8.26 & 8.18442989030088 & 8.15375 & 1.00376267242691 & 1.00923339935854 \tabularnewline
23 & 8.28 & 8.22886607862161 & 8.18875 & 1.00489892579717 & 1.00621396932334 \tabularnewline
24 & 8.28 & 8.2658093337121 & 8.22041666666667 & 1.00552194236449 & 1.00171679090516 \tabularnewline
25 & 8.28 & 8.2714831944119 & 8.25291666666666 & 1.00224969286558 & 1.00102965881547 \tabularnewline
26 & 8.29 & 8.29251606792286 & 8.27958333333333 & 1.00156200307055 & 0.999696585704236 \tabularnewline
27 & 8.3 & 8.30283600795259 & 8.3025 & 1.00004047069589 & 0.999658429005478 \tabularnewline
28 & 8.3 & 8.31803132661843 & 8.32875 & 0.998713051372467 & 0.99783226031372 \tabularnewline
29 & 8.31 & 8.35483477518389 & 8.35875 & 0.999531601637073 & 0.99463367303001 \tabularnewline
30 & 8.33 & 8.3664785586797 & 8.39125 & 0.997047943831932 & 0.9956399148789 \tabularnewline
31 & 8.33 & 8.36326440084817 & 8.42375 & 0.992819635061365 & 0.996022557789181 \tabularnewline
32 & 8.34 & 8.4155084676893 & 8.4575 & 0.995034994701661 & 0.991027462217024 \tabularnewline
33 & 8.48 & 8.48245393449048 & 8.4925 & 0.998817066174917 & 0.999710704648745 \tabularnewline
34 & 8.59 & 8.55958618912044 & 8.5275 & 1.00376267242691 & 1.00355318705923 \tabularnewline
35 & 8.67 & 8.60402834425255 & 8.56208333333333 & 1.00489892579717 & 1.00766753119677 \tabularnewline
36 & 8.67 & 8.64371799705076 & 8.59625 & 1.00552194236449 & 1.00304059005144 \tabularnewline
37 & 8.67 & 8.64983245346865 & 8.63041666666667 & 1.00224969286558 & 1.00233155343064 \tabularnewline
38 & 8.71 & 8.67770012160374 & 8.66416666666667 & 1.00156200307055 & 1.00372217038428 \tabularnewline
39 & 8.72 & 8.69201842446507 & 8.69166666666667 & 1.00004047069589 & 1.00321922644068 \tabularnewline
40 & 8.72 & 8.69962293833033 & 8.71083333333333 & 0.998713051372467 & 1.00234229251246 \tabularnewline
41 & 8.72 & 8.7225791102862 & 8.72666666666667 & 0.999531601637073 & 0.999704317925515 \tabularnewline
42 & 8.74 & 8.7162762123074 & 8.74208333333333 & 0.997047943831932 & 1.00272178016331 \tabularnewline
43 & 8.74 & 8.69544530374578 & 8.75833333333333 & 0.992819635061365 & 1.00512391196746 \tabularnewline
44 & 8.74 & 8.73184667642154 & 8.77541666666667 & 0.995034994701661 & 1.00093374561884 \tabularnewline
45 & 8.74 & 8.78376374945325 & 8.79416666666667 & 0.998817066174917 & 0.99501765408297 \tabularnewline
46 & 8.79 & 8.84774972299633 & 8.81458333333333 & 1.00376267242691 & 0.993472947946727 \tabularnewline
47 & 8.85 & 8.87953813307528 & 8.83625 & 1.00489892579717 & 0.996673460642592 \tabularnewline
48 & 8.86 & 8.90641060449347 & 8.8575 & 1.00552194236449 & 0.994789078726051 \tabularnewline
49 & 8.87 & 8.89747164841419 & 8.8775 & 1.00224969286558 & 0.996912420797757 \tabularnewline
50 & 8.92 & 8.91264987482404 & 8.89875 & 1.00156200307055 & 1.00082468460886 \tabularnewline
51 & 8.96 & 8.92161104919567 & 8.92125 & 1.00004047069589 & 1.00430291688269 \tabularnewline
52 & 8.97 & 8.93099146189829 & 8.9425 & 0.998713051372467 & 1.00436777241005 \tabularnewline
53 & 8.99 & 8.95663609366954 & 8.96083333333333 & 0.999531601637073 & 1.00372504877741 \tabularnewline
54 & 8.98 & 8.9505824791079 & 8.97708333333333 & 0.997047943831932 & 1.00328665994205 \tabularnewline
55 & 8.98 & NA & NA & 0.992819635061365 & NA \tabularnewline
56 & 9.01 & NA & NA & 0.995034994701661 & NA \tabularnewline
57 & 9.01 & NA & NA & 0.998817066174917 & NA \tabularnewline
58 & 9.03 & NA & NA & 1.00376267242691 & NA \tabularnewline
59 & 9.05 & NA & NA & 1.00489892579717 & NA \tabularnewline
60 & 9.05 & NA & NA & 1.00552194236449 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66111&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]7.55[/C][C]NA[/C][C]NA[/C][C]1.00224969286558[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]7.55[/C][C]NA[/C][C]NA[/C][C]1.00156200307055[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]7.59[/C][C]NA[/C][C]NA[/C][C]1.00004047069589[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]7.59[/C][C]NA[/C][C]NA[/C][C]0.998713051372467[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7.59[/C][C]NA[/C][C]NA[/C][C]0.999531601637073[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7.57[/C][C]NA[/C][C]NA[/C][C]0.997047943831932[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]7.57[/C][C]7.5574257970567[/C][C]7.61208333333333[/C][C]0.992819635061365[/C][C]1.00166382089364[/C][/ROW]
[ROW][C]8[/C][C]7.59[/C][C]7.59170241165922[/C][C]7.62958333333333[/C][C]0.995034994701661[/C][C]0.999775753636417[/C][/ROW]
[ROW][C]9[/C][C]7.6[/C][C]7.63678881846239[/C][C]7.64583333333333[/C][C]0.998817066174917[/C][C]0.995182684851328[/C][/ROW]
[ROW][C]10[/C][C]7.64[/C][C]7.69216794636486[/C][C]7.66333333333333[/C][C]1.00376267242691[/C][C]0.993218043764956[/C][/ROW]
[ROW][C]11[/C][C]7.64[/C][C]7.72557919995152[/C][C]7.68791666666667[/C][C]1.00489892579717[/C][C]0.988922616966756[/C][/ROW]
[ROW][C]12[/C][C]7.76[/C][C]7.76053455767394[/C][C]7.71791666666667[/C][C]1.00552194236449[/C][C]0.999931118446807[/C][/ROW]
[ROW][C]13[/C][C]7.76[/C][C]7.76618230759216[/C][C]7.74875[/C][C]1.00224969286558[/C][C]0.99920394508559[/C][/ROW]
[ROW][C]14[/C][C]7.76[/C][C]7.79716019390422[/C][C]7.785[/C][C]1.00156200307055[/C][C]0.995234137432078[/C][/ROW]
[ROW][C]15[/C][C]7.77[/C][C]7.83031688554878[/C][C]7.83[/C][C]1.00004047069589[/C][C]0.992297005800608[/C][/ROW]
[ROW][C]16[/C][C]7.83[/C][C]7.86985884481504[/C][C]7.88[/C][C]0.998713051372467[/C][C]0.99493525289322[/C][/ROW]
[ROW][C]17[/C][C]7.94[/C][C]7.92878442998608[/C][C]7.9325[/C][C]0.999531601637073[/C][C]1.00141453839652[/C][/ROW]
[ROW][C]18[/C][C]7.94[/C][C]7.95727346506534[/C][C]7.98083333333333[/C][C]0.997047943831932[/C][C]0.997829223145192[/C][/ROW]
[ROW][C]19[/C][C]7.94[/C][C]7.96655022167157[/C][C]8.02416666666667[/C][C]0.992819635061365[/C][C]0.996667287479173[/C][/ROW]
[ROW][C]20[/C][C]8.09[/C][C]8.02785941767011[/C][C]8.06791666666667[/C][C]0.995034994701661[/C][C]1.00774061665718[/C][/ROW]
[ROW][C]21[/C][C]8.18[/C][C]8.10248727556644[/C][C]8.11208333333333[/C][C]0.998817066174917[/C][C]1.00956653454641[/C][/ROW]
[ROW][C]22[/C][C]8.26[/C][C]8.18442989030088[/C][C]8.15375[/C][C]1.00376267242691[/C][C]1.00923339935854[/C][/ROW]
[ROW][C]23[/C][C]8.28[/C][C]8.22886607862161[/C][C]8.18875[/C][C]1.00489892579717[/C][C]1.00621396932334[/C][/ROW]
[ROW][C]24[/C][C]8.28[/C][C]8.2658093337121[/C][C]8.22041666666667[/C][C]1.00552194236449[/C][C]1.00171679090516[/C][/ROW]
[ROW][C]25[/C][C]8.28[/C][C]8.2714831944119[/C][C]8.25291666666666[/C][C]1.00224969286558[/C][C]1.00102965881547[/C][/ROW]
[ROW][C]26[/C][C]8.29[/C][C]8.29251606792286[/C][C]8.27958333333333[/C][C]1.00156200307055[/C][C]0.999696585704236[/C][/ROW]
[ROW][C]27[/C][C]8.3[/C][C]8.30283600795259[/C][C]8.3025[/C][C]1.00004047069589[/C][C]0.999658429005478[/C][/ROW]
[ROW][C]28[/C][C]8.3[/C][C]8.31803132661843[/C][C]8.32875[/C][C]0.998713051372467[/C][C]0.99783226031372[/C][/ROW]
[ROW][C]29[/C][C]8.31[/C][C]8.35483477518389[/C][C]8.35875[/C][C]0.999531601637073[/C][C]0.99463367303001[/C][/ROW]
[ROW][C]30[/C][C]8.33[/C][C]8.3664785586797[/C][C]8.39125[/C][C]0.997047943831932[/C][C]0.9956399148789[/C][/ROW]
[ROW][C]31[/C][C]8.33[/C][C]8.36326440084817[/C][C]8.42375[/C][C]0.992819635061365[/C][C]0.996022557789181[/C][/ROW]
[ROW][C]32[/C][C]8.34[/C][C]8.4155084676893[/C][C]8.4575[/C][C]0.995034994701661[/C][C]0.991027462217024[/C][/ROW]
[ROW][C]33[/C][C]8.48[/C][C]8.48245393449048[/C][C]8.4925[/C][C]0.998817066174917[/C][C]0.999710704648745[/C][/ROW]
[ROW][C]34[/C][C]8.59[/C][C]8.55958618912044[/C][C]8.5275[/C][C]1.00376267242691[/C][C]1.00355318705923[/C][/ROW]
[ROW][C]35[/C][C]8.67[/C][C]8.60402834425255[/C][C]8.56208333333333[/C][C]1.00489892579717[/C][C]1.00766753119677[/C][/ROW]
[ROW][C]36[/C][C]8.67[/C][C]8.64371799705076[/C][C]8.59625[/C][C]1.00552194236449[/C][C]1.00304059005144[/C][/ROW]
[ROW][C]37[/C][C]8.67[/C][C]8.64983245346865[/C][C]8.63041666666667[/C][C]1.00224969286558[/C][C]1.00233155343064[/C][/ROW]
[ROW][C]38[/C][C]8.71[/C][C]8.67770012160374[/C][C]8.66416666666667[/C][C]1.00156200307055[/C][C]1.00372217038428[/C][/ROW]
[ROW][C]39[/C][C]8.72[/C][C]8.69201842446507[/C][C]8.69166666666667[/C][C]1.00004047069589[/C][C]1.00321922644068[/C][/ROW]
[ROW][C]40[/C][C]8.72[/C][C]8.69962293833033[/C][C]8.71083333333333[/C][C]0.998713051372467[/C][C]1.00234229251246[/C][/ROW]
[ROW][C]41[/C][C]8.72[/C][C]8.7225791102862[/C][C]8.72666666666667[/C][C]0.999531601637073[/C][C]0.999704317925515[/C][/ROW]
[ROW][C]42[/C][C]8.74[/C][C]8.7162762123074[/C][C]8.74208333333333[/C][C]0.997047943831932[/C][C]1.00272178016331[/C][/ROW]
[ROW][C]43[/C][C]8.74[/C][C]8.69544530374578[/C][C]8.75833333333333[/C][C]0.992819635061365[/C][C]1.00512391196746[/C][/ROW]
[ROW][C]44[/C][C]8.74[/C][C]8.73184667642154[/C][C]8.77541666666667[/C][C]0.995034994701661[/C][C]1.00093374561884[/C][/ROW]
[ROW][C]45[/C][C]8.74[/C][C]8.78376374945325[/C][C]8.79416666666667[/C][C]0.998817066174917[/C][C]0.99501765408297[/C][/ROW]
[ROW][C]46[/C][C]8.79[/C][C]8.84774972299633[/C][C]8.81458333333333[/C][C]1.00376267242691[/C][C]0.993472947946727[/C][/ROW]
[ROW][C]47[/C][C]8.85[/C][C]8.87953813307528[/C][C]8.83625[/C][C]1.00489892579717[/C][C]0.996673460642592[/C][/ROW]
[ROW][C]48[/C][C]8.86[/C][C]8.90641060449347[/C][C]8.8575[/C][C]1.00552194236449[/C][C]0.994789078726051[/C][/ROW]
[ROW][C]49[/C][C]8.87[/C][C]8.89747164841419[/C][C]8.8775[/C][C]1.00224969286558[/C][C]0.996912420797757[/C][/ROW]
[ROW][C]50[/C][C]8.92[/C][C]8.91264987482404[/C][C]8.89875[/C][C]1.00156200307055[/C][C]1.00082468460886[/C][/ROW]
[ROW][C]51[/C][C]8.96[/C][C]8.92161104919567[/C][C]8.92125[/C][C]1.00004047069589[/C][C]1.00430291688269[/C][/ROW]
[ROW][C]52[/C][C]8.97[/C][C]8.93099146189829[/C][C]8.9425[/C][C]0.998713051372467[/C][C]1.00436777241005[/C][/ROW]
[ROW][C]53[/C][C]8.99[/C][C]8.95663609366954[/C][C]8.96083333333333[/C][C]0.999531601637073[/C][C]1.00372504877741[/C][/ROW]
[ROW][C]54[/C][C]8.98[/C][C]8.9505824791079[/C][C]8.97708333333333[/C][C]0.997047943831932[/C][C]1.00328665994205[/C][/ROW]
[ROW][C]55[/C][C]8.98[/C][C]NA[/C][C]NA[/C][C]0.992819635061365[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]9.01[/C][C]NA[/C][C]NA[/C][C]0.995034994701661[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]9.01[/C][C]NA[/C][C]NA[/C][C]0.998817066174917[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]9.03[/C][C]NA[/C][C]NA[/C][C]1.00376267242691[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]9.05[/C][C]NA[/C][C]NA[/C][C]1.00489892579717[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]9.05[/C][C]NA[/C][C]NA[/C][C]1.00552194236449[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66111&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66111&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	7.55	NA	NA	1.00224969286558	NA
2	7.55	NA	NA	1.00156200307055	NA
3	7.59	NA	NA	1.00004047069589	NA
4	7.59	NA	NA	0.998713051372467	NA
5	7.59	NA	NA	0.999531601637073	NA
6	7.57	NA	NA	0.997047943831932	NA
7	7.57	7.5574257970567	7.61208333333333	0.992819635061365	1.00166382089364
8	7.59	7.59170241165922	7.62958333333333	0.995034994701661	0.999775753636417
9	7.6	7.63678881846239	7.64583333333333	0.998817066174917	0.995182684851328
10	7.64	7.69216794636486	7.66333333333333	1.00376267242691	0.993218043764956
11	7.64	7.72557919995152	7.68791666666667	1.00489892579717	0.988922616966756
12	7.76	7.76053455767394	7.71791666666667	1.00552194236449	0.999931118446807
13	7.76	7.76618230759216	7.74875	1.00224969286558	0.99920394508559
14	7.76	7.79716019390422	7.785	1.00156200307055	0.995234137432078
15	7.77	7.83031688554878	7.83	1.00004047069589	0.992297005800608
16	7.83	7.86985884481504	7.88	0.998713051372467	0.99493525289322
17	7.94	7.92878442998608	7.9325	0.999531601637073	1.00141453839652
18	7.94	7.95727346506534	7.98083333333333	0.997047943831932	0.997829223145192
19	7.94	7.96655022167157	8.02416666666667	0.992819635061365	0.996667287479173
20	8.09	8.02785941767011	8.06791666666667	0.995034994701661	1.00774061665718
21	8.18	8.10248727556644	8.11208333333333	0.998817066174917	1.00956653454641
22	8.26	8.18442989030088	8.15375	1.00376267242691	1.00923339935854
23	8.28	8.22886607862161	8.18875	1.00489892579717	1.00621396932334
24	8.28	8.2658093337121	8.22041666666667	1.00552194236449	1.00171679090516
25	8.28	8.2714831944119	8.25291666666666	1.00224969286558	1.00102965881547
26	8.29	8.29251606792286	8.27958333333333	1.00156200307055	0.999696585704236
27	8.3	8.30283600795259	8.3025	1.00004047069589	0.999658429005478
28	8.3	8.31803132661843	8.32875	0.998713051372467	0.99783226031372
29	8.31	8.35483477518389	8.35875	0.999531601637073	0.99463367303001
30	8.33	8.3664785586797	8.39125	0.997047943831932	0.9956399148789
31	8.33	8.36326440084817	8.42375	0.992819635061365	0.996022557789181
32	8.34	8.4155084676893	8.4575	0.995034994701661	0.991027462217024
33	8.48	8.48245393449048	8.4925	0.998817066174917	0.999710704648745
34	8.59	8.55958618912044	8.5275	1.00376267242691	1.00355318705923
35	8.67	8.60402834425255	8.56208333333333	1.00489892579717	1.00766753119677
36	8.67	8.64371799705076	8.59625	1.00552194236449	1.00304059005144
37	8.67	8.64983245346865	8.63041666666667	1.00224969286558	1.00233155343064
38	8.71	8.67770012160374	8.66416666666667	1.00156200307055	1.00372217038428
39	8.72	8.69201842446507	8.69166666666667	1.00004047069589	1.00321922644068
40	8.72	8.69962293833033	8.71083333333333	0.998713051372467	1.00234229251246
41	8.72	8.7225791102862	8.72666666666667	0.999531601637073	0.999704317925515
42	8.74	8.7162762123074	8.74208333333333	0.997047943831932	1.00272178016331
43	8.74	8.69544530374578	8.75833333333333	0.992819635061365	1.00512391196746
44	8.74	8.73184667642154	8.77541666666667	0.995034994701661	1.00093374561884
45	8.74	8.78376374945325	8.79416666666667	0.998817066174917	0.99501765408297
46	8.79	8.84774972299633	8.81458333333333	1.00376267242691	0.993472947946727
47	8.85	8.87953813307528	8.83625	1.00489892579717	0.996673460642592
48	8.86	8.90641060449347	8.8575	1.00552194236449	0.994789078726051
49	8.87	8.89747164841419	8.8775	1.00224969286558	0.996912420797757
50	8.92	8.91264987482404	8.89875	1.00156200307055	1.00082468460886
51	8.96	8.92161104919567	8.92125	1.00004047069589	1.00430291688269
52	8.97	8.93099146189829	8.9425	0.998713051372467	1.00436777241005
53	8.99	8.95663609366954	8.96083333333333	0.999531601637073	1.00372504877741
54	8.98	8.9505824791079	8.97708333333333	0.997047943831932	1.00328665994205
55	8.98	NA	NA	0.992819635061365	NA
56	9.01	NA	NA	0.995034994701661	NA
57	9.01	NA	NA	0.998817066174917	NA
58	9.03	NA	NA	1.00376267242691	NA
59	9.05	NA	NA	1.00489892579717	NA
60	9.05	NA	NA	1.00552194236449	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 = 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