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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 02 Jun 2009 13:29:18 -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/2009/Jun/02/t1243971150295x3f287c1xs0s.htm/, Retrieved Fri, 10 May 2024 19:30:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41383, Retrieved Fri, 10 May 2024 19:30:40 +0000

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IsPrivate?

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Estimated Impact

124

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

-     [Standard Deviation-Mean Plot] [Opgave 8 Oefening...] [2009-05-28 19:48:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Classical Decomposition] [Opgave 9 Oefening...] [2009-05-28 20:20:25] [74be16979710d4c4e7c6647856088456]
-   PD      [Classical Decomposition] [Opgave 9 Oefening...] [2009-06-02 19:29:18] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-   P         [Classical Decomposition] [Opgave 9 Oefening...] [2009-06-07 15:45:48] [74be16979710d4c4e7c6647856088456] 

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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	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=41383&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=41383&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41383&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	3779.7	NA	NA	0.999963339519623	NA
2	3795.5	NA	NA	1.00009011360544	NA
3	3813.1	3811.10302055211	3810.5	1.00015825234277	1.00052398988879
4	3826.9	3822.55307325326	3823.3625	0.999788294532172	1.00113717891248
5	3833.3	3834.15943272009	3834.3	0.999963339519623	0.99977584846557
6	3844.8	3842.5337333684	3842.1875	1.00009011360544	1.00058978444663
7	3851.3	3848.50893918973	3847.9	1.00015825234277	1.00072523173374
8	3851.8	3851.38446819683	3852.2	0.999788294532172	1.00010789154046
9	3854.1	3855.04616697431	3855.1875	0.999963339519623	0.999754564035468
10	3858.4	3857.38507155544	3857.0375	1.00009011360544	1.00026311307420
11	3861.6	3858.42300786607	3857.8125	1.00015825234277	1.00082339135119
12	3856.3	3857.45818208612	3858.275	0.999788294532172	0.99969975511556
13	3855.8	3857.57107440659	3857.7125	0.999963339519623	0.999540883532038
14	3860.4	3855.14736992625	3854.8	1.00009011360544	1.00136249786836
15	3855.1	3850.45924778180	3849.85	1.00015825234277	1.00120524641856
16	3839.5	3842.83627827858	3843.65	0.999788294532172	0.999131818782538
17	3833	3836.62184244366	3836.7625	0.999963339519623	0.99905598138352
18	3833.6	3830.90768579774	3830.5625	1.00009011360544	1.00070278754360
19	3826.8	3825.80534686155	3825.2	1.00015825234277	1.00025998529676
20	3818.2	3818.34146506254	3819.15	0.999788294532172	0.999962951175572
21	3811.4	3813.59768655122	3813.7375	0.999963339519623	0.99942372354615
22	3806.8	3812.01848377701	3811.675	1.00009011360544	0.998631044471788
23	3810.3	3818.21664612190	3817.6125	1.00015825234277	0.997926611594987
24	3818.2	3830.36391930429	3831.175	0.999788294532172	0.996824343701916
25	3858.9	3846.40898362921	3846.55	0.999963339519623	1.00324744883447
26	3867.8	3861.5354455269	3861.1875	1.00009011360544	1.00162229625015
27	3872.3	3870.91248404221	3870.3	1.00015825234277	1.00035844673924
28	3873.3	3873.55477362808	3874.375	0.999788294532172	0.999934227436303
29	3876.7	3877.48284440478	3877.625	0.999963339519623	0.999798104998476
30	3882.6	3880.48715317973	3880.1375	1.00009011360544	1.00054447978743
31	3883.5	3883.28944241495	3882.675	1.00015825234277	1.00005422145018
32	3882.2	3884.66492105107	3885.4875	0.999788294532172	0.999365473959487
33	3888.1	3889.03242097623	3889.175	0.999963339519623	0.999760243455107
34	3893.7	3895.83853642357	3895.4875	1.00009011360544	0.999451071597661
35	3901.9	3905.39293979172	3904.775	1.00015825234277	0.999105611177781
36	3914.3	3916.0457761457	3916.875	0.999788294532172	0.999554199249576
37	3930.3	3932.25583632697	3932.4	0.999963339519623	0.999502617223198
38	3948.3	3950.93100055681	3950.575	1.00009011360544	0.999334080864374
39	3971.5	3968.51542749270	3967.8875	1.00015825234277	1.00075206272013
40	3990.1	3981.0945020587	3981.9375	0.999788294532172	1.00226206585567
41	3993	3993.54108949778	3993.6875	0.999963339519623	0.999864508844244
42	3998	4005.97346018437	4005.6125	1.00009011360544	0.99800960733674
43	4015.8	4021.09874760963	4020.4625	1.00015825234277	0.998682263743765
44	4041.2	4037.90747189549	4038.7625	0.999788294532172	1.00081540454491
45	4060.7	4059.35117677991	4059.5	0.999963339519623	1.00033227556852
46	4076.7	4081.28024573886	4080.9125	1.00009011360544	0.998877742898533
47	4103	4101.94904033338	4101.3	1.00015825234277	1.00025620983008
48	4125.3	4119.05278935046	4119.925	0.999788294532172	1.00151666195337
49	4139.7	4135.39838875038	4135.55	0.999963339519623	1.00104019270823
50	4146.7	4146.52362452519	4146.15	1.00009011360544	1.00004253574579
51	4158	4151.1693283268	4150.5125	1.00015825234277	1.00164548134103
52	4155.1	4150.45863915245	4151.3375	0.999788294532172	1.00111827661738
53	4144.8	4149.43537412888	4149.5875	0.999963339519623	0.998882890390875
54	4148.2	4146.39861326099	4146.025	1.00009011360544	1.00043444610782
55	4142.5	4145.13087287828	4144.475	1.00015825234277	0.999365310056795
56	4142.1	4143.43512638336	4144.3125	0.999788294532172	0.999677773069292
57	4145.4	4144.04807163722	4144.2	0.999963339519623	1.00032623375487
58	4146.3	4145.58604004369	4145.2125	1.00009011360544	1.00017222171954
59	4143.5	4148.44389708917	4147.7875	1.00015825234277	0.998808252633563
60	4149.2	4151.07100948285	4151.95	0.999788294532172	0.999549270663263
61	4158.9	4158.72253364467	4158.875	0.999963339519623	1.00004267328582
62	4166.1	4169.35068136824	4168.975	1.00009011360544	0.999220338700997
63	4179.1	4181.88668865188	4181.225	1.00015825234277	0.99933362884761
64	4194.4	4194.46182146555	4195.35	0.999788294532172	0.999985261168612
65	4211.7	4209.80816075238	4209.9625	0.999963339519623	1.00044938846983
66	4226.3	4223.58056777849	4223.2	1.00009011360544	1.00064386891119
67	4235.8	4235.89523427839	4235.225	1.00015825234277	0.999977517319688
68	4243.6	4246.68826250117	4247.5875	0.999788294532172	0.999272783328967
69	4258.7	4261.69375853171	4261.85	0.999963339519623	0.99929751908482
70	4278.2	4278.94805669297	4278.5625	1.00009011360544	0.999825177430747
71	4298	4297.63000240425	4296.95	1.00015825234277	1.00008609340393
72	4315.1	4315.21125273767	4316.125	0.999788294532172	0.99997421847248
73	4334.3	4335.1910639864	4335.35	0.999963339519623	0.999794457966616
74	4356	4355.29243574033	4354.9	1.00009011360544	1.00016246079227
75	4374	NA	NA	1.00015825234277	NA
76	4395.5	NA	NA	0.999788294532172	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3779.7 & NA & NA & 0.999963339519623 & NA \tabularnewline
2 & 3795.5 & NA & NA & 1.00009011360544 & NA \tabularnewline
3 & 3813.1 & 3811.10302055211 & 3810.5 & 1.00015825234277 & 1.00052398988879 \tabularnewline
4 & 3826.9 & 3822.55307325326 & 3823.3625 & 0.999788294532172 & 1.00113717891248 \tabularnewline
5 & 3833.3 & 3834.15943272009 & 3834.3 & 0.999963339519623 & 0.99977584846557 \tabularnewline
6 & 3844.8 & 3842.5337333684 & 3842.1875 & 1.00009011360544 & 1.00058978444663 \tabularnewline
7 & 3851.3 & 3848.50893918973 & 3847.9 & 1.00015825234277 & 1.00072523173374 \tabularnewline
8 & 3851.8 & 3851.38446819683 & 3852.2 & 0.999788294532172 & 1.00010789154046 \tabularnewline
9 & 3854.1 & 3855.04616697431 & 3855.1875 & 0.999963339519623 & 0.999754564035468 \tabularnewline
10 & 3858.4 & 3857.38507155544 & 3857.0375 & 1.00009011360544 & 1.00026311307420 \tabularnewline
11 & 3861.6 & 3858.42300786607 & 3857.8125 & 1.00015825234277 & 1.00082339135119 \tabularnewline
12 & 3856.3 & 3857.45818208612 & 3858.275 & 0.999788294532172 & 0.99969975511556 \tabularnewline
13 & 3855.8 & 3857.57107440659 & 3857.7125 & 0.999963339519623 & 0.999540883532038 \tabularnewline
14 & 3860.4 & 3855.14736992625 & 3854.8 & 1.00009011360544 & 1.00136249786836 \tabularnewline
15 & 3855.1 & 3850.45924778180 & 3849.85 & 1.00015825234277 & 1.00120524641856 \tabularnewline
16 & 3839.5 & 3842.83627827858 & 3843.65 & 0.999788294532172 & 0.999131818782538 \tabularnewline
17 & 3833 & 3836.62184244366 & 3836.7625 & 0.999963339519623 & 0.99905598138352 \tabularnewline
18 & 3833.6 & 3830.90768579774 & 3830.5625 & 1.00009011360544 & 1.00070278754360 \tabularnewline
19 & 3826.8 & 3825.80534686155 & 3825.2 & 1.00015825234277 & 1.00025998529676 \tabularnewline
20 & 3818.2 & 3818.34146506254 & 3819.15 & 0.999788294532172 & 0.999962951175572 \tabularnewline
21 & 3811.4 & 3813.59768655122 & 3813.7375 & 0.999963339519623 & 0.99942372354615 \tabularnewline
22 & 3806.8 & 3812.01848377701 & 3811.675 & 1.00009011360544 & 0.998631044471788 \tabularnewline
23 & 3810.3 & 3818.21664612190 & 3817.6125 & 1.00015825234277 & 0.997926611594987 \tabularnewline
24 & 3818.2 & 3830.36391930429 & 3831.175 & 0.999788294532172 & 0.996824343701916 \tabularnewline
25 & 3858.9 & 3846.40898362921 & 3846.55 & 0.999963339519623 & 1.00324744883447 \tabularnewline
26 & 3867.8 & 3861.5354455269 & 3861.1875 & 1.00009011360544 & 1.00162229625015 \tabularnewline
27 & 3872.3 & 3870.91248404221 & 3870.3 & 1.00015825234277 & 1.00035844673924 \tabularnewline
28 & 3873.3 & 3873.55477362808 & 3874.375 & 0.999788294532172 & 0.999934227436303 \tabularnewline
29 & 3876.7 & 3877.48284440478 & 3877.625 & 0.999963339519623 & 0.999798104998476 \tabularnewline
30 & 3882.6 & 3880.48715317973 & 3880.1375 & 1.00009011360544 & 1.00054447978743 \tabularnewline
31 & 3883.5 & 3883.28944241495 & 3882.675 & 1.00015825234277 & 1.00005422145018 \tabularnewline
32 & 3882.2 & 3884.66492105107 & 3885.4875 & 0.999788294532172 & 0.999365473959487 \tabularnewline
33 & 3888.1 & 3889.03242097623 & 3889.175 & 0.999963339519623 & 0.999760243455107 \tabularnewline
34 & 3893.7 & 3895.83853642357 & 3895.4875 & 1.00009011360544 & 0.999451071597661 \tabularnewline
35 & 3901.9 & 3905.39293979172 & 3904.775 & 1.00015825234277 & 0.999105611177781 \tabularnewline
36 & 3914.3 & 3916.0457761457 & 3916.875 & 0.999788294532172 & 0.999554199249576 \tabularnewline
37 & 3930.3 & 3932.25583632697 & 3932.4 & 0.999963339519623 & 0.999502617223198 \tabularnewline
38 & 3948.3 & 3950.93100055681 & 3950.575 & 1.00009011360544 & 0.999334080864374 \tabularnewline
39 & 3971.5 & 3968.51542749270 & 3967.8875 & 1.00015825234277 & 1.00075206272013 \tabularnewline
40 & 3990.1 & 3981.0945020587 & 3981.9375 & 0.999788294532172 & 1.00226206585567 \tabularnewline
41 & 3993 & 3993.54108949778 & 3993.6875 & 0.999963339519623 & 0.999864508844244 \tabularnewline
42 & 3998 & 4005.97346018437 & 4005.6125 & 1.00009011360544 & 0.99800960733674 \tabularnewline
43 & 4015.8 & 4021.09874760963 & 4020.4625 & 1.00015825234277 & 0.998682263743765 \tabularnewline
44 & 4041.2 & 4037.90747189549 & 4038.7625 & 0.999788294532172 & 1.00081540454491 \tabularnewline
45 & 4060.7 & 4059.35117677991 & 4059.5 & 0.999963339519623 & 1.00033227556852 \tabularnewline
46 & 4076.7 & 4081.28024573886 & 4080.9125 & 1.00009011360544 & 0.998877742898533 \tabularnewline
47 & 4103 & 4101.94904033338 & 4101.3 & 1.00015825234277 & 1.00025620983008 \tabularnewline
48 & 4125.3 & 4119.05278935046 & 4119.925 & 0.999788294532172 & 1.00151666195337 \tabularnewline
49 & 4139.7 & 4135.39838875038 & 4135.55 & 0.999963339519623 & 1.00104019270823 \tabularnewline
50 & 4146.7 & 4146.52362452519 & 4146.15 & 1.00009011360544 & 1.00004253574579 \tabularnewline
51 & 4158 & 4151.1693283268 & 4150.5125 & 1.00015825234277 & 1.00164548134103 \tabularnewline
52 & 4155.1 & 4150.45863915245 & 4151.3375 & 0.999788294532172 & 1.00111827661738 \tabularnewline
53 & 4144.8 & 4149.43537412888 & 4149.5875 & 0.999963339519623 & 0.998882890390875 \tabularnewline
54 & 4148.2 & 4146.39861326099 & 4146.025 & 1.00009011360544 & 1.00043444610782 \tabularnewline
55 & 4142.5 & 4145.13087287828 & 4144.475 & 1.00015825234277 & 0.999365310056795 \tabularnewline
56 & 4142.1 & 4143.43512638336 & 4144.3125 & 0.999788294532172 & 0.999677773069292 \tabularnewline
57 & 4145.4 & 4144.04807163722 & 4144.2 & 0.999963339519623 & 1.00032623375487 \tabularnewline
58 & 4146.3 & 4145.58604004369 & 4145.2125 & 1.00009011360544 & 1.00017222171954 \tabularnewline
59 & 4143.5 & 4148.44389708917 & 4147.7875 & 1.00015825234277 & 0.998808252633563 \tabularnewline
60 & 4149.2 & 4151.07100948285 & 4151.95 & 0.999788294532172 & 0.999549270663263 \tabularnewline
61 & 4158.9 & 4158.72253364467 & 4158.875 & 0.999963339519623 & 1.00004267328582 \tabularnewline
62 & 4166.1 & 4169.35068136824 & 4168.975 & 1.00009011360544 & 0.999220338700997 \tabularnewline
63 & 4179.1 & 4181.88668865188 & 4181.225 & 1.00015825234277 & 0.99933362884761 \tabularnewline
64 & 4194.4 & 4194.46182146555 & 4195.35 & 0.999788294532172 & 0.999985261168612 \tabularnewline
65 & 4211.7 & 4209.80816075238 & 4209.9625 & 0.999963339519623 & 1.00044938846983 \tabularnewline
66 & 4226.3 & 4223.58056777849 & 4223.2 & 1.00009011360544 & 1.00064386891119 \tabularnewline
67 & 4235.8 & 4235.89523427839 & 4235.225 & 1.00015825234277 & 0.999977517319688 \tabularnewline
68 & 4243.6 & 4246.68826250117 & 4247.5875 & 0.999788294532172 & 0.999272783328967 \tabularnewline
69 & 4258.7 & 4261.69375853171 & 4261.85 & 0.999963339519623 & 0.99929751908482 \tabularnewline
70 & 4278.2 & 4278.94805669297 & 4278.5625 & 1.00009011360544 & 0.999825177430747 \tabularnewline
71 & 4298 & 4297.63000240425 & 4296.95 & 1.00015825234277 & 1.00008609340393 \tabularnewline
72 & 4315.1 & 4315.21125273767 & 4316.125 & 0.999788294532172 & 0.99997421847248 \tabularnewline
73 & 4334.3 & 4335.1910639864 & 4335.35 & 0.999963339519623 & 0.999794457966616 \tabularnewline
74 & 4356 & 4355.29243574033 & 4354.9 & 1.00009011360544 & 1.00016246079227 \tabularnewline
75 & 4374 & NA & NA & 1.00015825234277 & NA \tabularnewline
76 & 4395.5 & NA & NA & 0.999788294532172 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41383&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]3779.7[/C][C]NA[/C][C]NA[/C][C]0.999963339519623[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3795.5[/C][C]NA[/C][C]NA[/C][C]1.00009011360544[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3813.1[/C][C]3811.10302055211[/C][C]3810.5[/C][C]1.00015825234277[/C][C]1.00052398988879[/C][/ROW]
[ROW][C]4[/C][C]3826.9[/C][C]3822.55307325326[/C][C]3823.3625[/C][C]0.999788294532172[/C][C]1.00113717891248[/C][/ROW]
[ROW][C]5[/C][C]3833.3[/C][C]3834.15943272009[/C][C]3834.3[/C][C]0.999963339519623[/C][C]0.99977584846557[/C][/ROW]
[ROW][C]6[/C][C]3844.8[/C][C]3842.5337333684[/C][C]3842.1875[/C][C]1.00009011360544[/C][C]1.00058978444663[/C][/ROW]
[ROW][C]7[/C][C]3851.3[/C][C]3848.50893918973[/C][C]3847.9[/C][C]1.00015825234277[/C][C]1.00072523173374[/C][/ROW]
[ROW][C]8[/C][C]3851.8[/C][C]3851.38446819683[/C][C]3852.2[/C][C]0.999788294532172[/C][C]1.00010789154046[/C][/ROW]
[ROW][C]9[/C][C]3854.1[/C][C]3855.04616697431[/C][C]3855.1875[/C][C]0.999963339519623[/C][C]0.999754564035468[/C][/ROW]
[ROW][C]10[/C][C]3858.4[/C][C]3857.38507155544[/C][C]3857.0375[/C][C]1.00009011360544[/C][C]1.00026311307420[/C][/ROW]
[ROW][C]11[/C][C]3861.6[/C][C]3858.42300786607[/C][C]3857.8125[/C][C]1.00015825234277[/C][C]1.00082339135119[/C][/ROW]
[ROW][C]12[/C][C]3856.3[/C][C]3857.45818208612[/C][C]3858.275[/C][C]0.999788294532172[/C][C]0.99969975511556[/C][/ROW]
[ROW][C]13[/C][C]3855.8[/C][C]3857.57107440659[/C][C]3857.7125[/C][C]0.999963339519623[/C][C]0.999540883532038[/C][/ROW]
[ROW][C]14[/C][C]3860.4[/C][C]3855.14736992625[/C][C]3854.8[/C][C]1.00009011360544[/C][C]1.00136249786836[/C][/ROW]
[ROW][C]15[/C][C]3855.1[/C][C]3850.45924778180[/C][C]3849.85[/C][C]1.00015825234277[/C][C]1.00120524641856[/C][/ROW]
[ROW][C]16[/C][C]3839.5[/C][C]3842.83627827858[/C][C]3843.65[/C][C]0.999788294532172[/C][C]0.999131818782538[/C][/ROW]
[ROW][C]17[/C][C]3833[/C][C]3836.62184244366[/C][C]3836.7625[/C][C]0.999963339519623[/C][C]0.99905598138352[/C][/ROW]
[ROW][C]18[/C][C]3833.6[/C][C]3830.90768579774[/C][C]3830.5625[/C][C]1.00009011360544[/C][C]1.00070278754360[/C][/ROW]
[ROW][C]19[/C][C]3826.8[/C][C]3825.80534686155[/C][C]3825.2[/C][C]1.00015825234277[/C][C]1.00025998529676[/C][/ROW]
[ROW][C]20[/C][C]3818.2[/C][C]3818.34146506254[/C][C]3819.15[/C][C]0.999788294532172[/C][C]0.999962951175572[/C][/ROW]
[ROW][C]21[/C][C]3811.4[/C][C]3813.59768655122[/C][C]3813.7375[/C][C]0.999963339519623[/C][C]0.99942372354615[/C][/ROW]
[ROW][C]22[/C][C]3806.8[/C][C]3812.01848377701[/C][C]3811.675[/C][C]1.00009011360544[/C][C]0.998631044471788[/C][/ROW]
[ROW][C]23[/C][C]3810.3[/C][C]3818.21664612190[/C][C]3817.6125[/C][C]1.00015825234277[/C][C]0.997926611594987[/C][/ROW]
[ROW][C]24[/C][C]3818.2[/C][C]3830.36391930429[/C][C]3831.175[/C][C]0.999788294532172[/C][C]0.996824343701916[/C][/ROW]
[ROW][C]25[/C][C]3858.9[/C][C]3846.40898362921[/C][C]3846.55[/C][C]0.999963339519623[/C][C]1.00324744883447[/C][/ROW]
[ROW][C]26[/C][C]3867.8[/C][C]3861.5354455269[/C][C]3861.1875[/C][C]1.00009011360544[/C][C]1.00162229625015[/C][/ROW]
[ROW][C]27[/C][C]3872.3[/C][C]3870.91248404221[/C][C]3870.3[/C][C]1.00015825234277[/C][C]1.00035844673924[/C][/ROW]
[ROW][C]28[/C][C]3873.3[/C][C]3873.55477362808[/C][C]3874.375[/C][C]0.999788294532172[/C][C]0.999934227436303[/C][/ROW]
[ROW][C]29[/C][C]3876.7[/C][C]3877.48284440478[/C][C]3877.625[/C][C]0.999963339519623[/C][C]0.999798104998476[/C][/ROW]
[ROW][C]30[/C][C]3882.6[/C][C]3880.48715317973[/C][C]3880.1375[/C][C]1.00009011360544[/C][C]1.00054447978743[/C][/ROW]
[ROW][C]31[/C][C]3883.5[/C][C]3883.28944241495[/C][C]3882.675[/C][C]1.00015825234277[/C][C]1.00005422145018[/C][/ROW]
[ROW][C]32[/C][C]3882.2[/C][C]3884.66492105107[/C][C]3885.4875[/C][C]0.999788294532172[/C][C]0.999365473959487[/C][/ROW]
[ROW][C]33[/C][C]3888.1[/C][C]3889.03242097623[/C][C]3889.175[/C][C]0.999963339519623[/C][C]0.999760243455107[/C][/ROW]
[ROW][C]34[/C][C]3893.7[/C][C]3895.83853642357[/C][C]3895.4875[/C][C]1.00009011360544[/C][C]0.999451071597661[/C][/ROW]
[ROW][C]35[/C][C]3901.9[/C][C]3905.39293979172[/C][C]3904.775[/C][C]1.00015825234277[/C][C]0.999105611177781[/C][/ROW]
[ROW][C]36[/C][C]3914.3[/C][C]3916.0457761457[/C][C]3916.875[/C][C]0.999788294532172[/C][C]0.999554199249576[/C][/ROW]
[ROW][C]37[/C][C]3930.3[/C][C]3932.25583632697[/C][C]3932.4[/C][C]0.999963339519623[/C][C]0.999502617223198[/C][/ROW]
[ROW][C]38[/C][C]3948.3[/C][C]3950.93100055681[/C][C]3950.575[/C][C]1.00009011360544[/C][C]0.999334080864374[/C][/ROW]
[ROW][C]39[/C][C]3971.5[/C][C]3968.51542749270[/C][C]3967.8875[/C][C]1.00015825234277[/C][C]1.00075206272013[/C][/ROW]
[ROW][C]40[/C][C]3990.1[/C][C]3981.0945020587[/C][C]3981.9375[/C][C]0.999788294532172[/C][C]1.00226206585567[/C][/ROW]
[ROW][C]41[/C][C]3993[/C][C]3993.54108949778[/C][C]3993.6875[/C][C]0.999963339519623[/C][C]0.999864508844244[/C][/ROW]
[ROW][C]42[/C][C]3998[/C][C]4005.97346018437[/C][C]4005.6125[/C][C]1.00009011360544[/C][C]0.99800960733674[/C][/ROW]
[ROW][C]43[/C][C]4015.8[/C][C]4021.09874760963[/C][C]4020.4625[/C][C]1.00015825234277[/C][C]0.998682263743765[/C][/ROW]
[ROW][C]44[/C][C]4041.2[/C][C]4037.90747189549[/C][C]4038.7625[/C][C]0.999788294532172[/C][C]1.00081540454491[/C][/ROW]
[ROW][C]45[/C][C]4060.7[/C][C]4059.35117677991[/C][C]4059.5[/C][C]0.999963339519623[/C][C]1.00033227556852[/C][/ROW]
[ROW][C]46[/C][C]4076.7[/C][C]4081.28024573886[/C][C]4080.9125[/C][C]1.00009011360544[/C][C]0.998877742898533[/C][/ROW]
[ROW][C]47[/C][C]4103[/C][C]4101.94904033338[/C][C]4101.3[/C][C]1.00015825234277[/C][C]1.00025620983008[/C][/ROW]
[ROW][C]48[/C][C]4125.3[/C][C]4119.05278935046[/C][C]4119.925[/C][C]0.999788294532172[/C][C]1.00151666195337[/C][/ROW]
[ROW][C]49[/C][C]4139.7[/C][C]4135.39838875038[/C][C]4135.55[/C][C]0.999963339519623[/C][C]1.00104019270823[/C][/ROW]
[ROW][C]50[/C][C]4146.7[/C][C]4146.52362452519[/C][C]4146.15[/C][C]1.00009011360544[/C][C]1.00004253574579[/C][/ROW]
[ROW][C]51[/C][C]4158[/C][C]4151.1693283268[/C][C]4150.5125[/C][C]1.00015825234277[/C][C]1.00164548134103[/C][/ROW]
[ROW][C]52[/C][C]4155.1[/C][C]4150.45863915245[/C][C]4151.3375[/C][C]0.999788294532172[/C][C]1.00111827661738[/C][/ROW]
[ROW][C]53[/C][C]4144.8[/C][C]4149.43537412888[/C][C]4149.5875[/C][C]0.999963339519623[/C][C]0.998882890390875[/C][/ROW]
[ROW][C]54[/C][C]4148.2[/C][C]4146.39861326099[/C][C]4146.025[/C][C]1.00009011360544[/C][C]1.00043444610782[/C][/ROW]
[ROW][C]55[/C][C]4142.5[/C][C]4145.13087287828[/C][C]4144.475[/C][C]1.00015825234277[/C][C]0.999365310056795[/C][/ROW]
[ROW][C]56[/C][C]4142.1[/C][C]4143.43512638336[/C][C]4144.3125[/C][C]0.999788294532172[/C][C]0.999677773069292[/C][/ROW]
[ROW][C]57[/C][C]4145.4[/C][C]4144.04807163722[/C][C]4144.2[/C][C]0.999963339519623[/C][C]1.00032623375487[/C][/ROW]
[ROW][C]58[/C][C]4146.3[/C][C]4145.58604004369[/C][C]4145.2125[/C][C]1.00009011360544[/C][C]1.00017222171954[/C][/ROW]
[ROW][C]59[/C][C]4143.5[/C][C]4148.44389708917[/C][C]4147.7875[/C][C]1.00015825234277[/C][C]0.998808252633563[/C][/ROW]
[ROW][C]60[/C][C]4149.2[/C][C]4151.07100948285[/C][C]4151.95[/C][C]0.999788294532172[/C][C]0.999549270663263[/C][/ROW]
[ROW][C]61[/C][C]4158.9[/C][C]4158.72253364467[/C][C]4158.875[/C][C]0.999963339519623[/C][C]1.00004267328582[/C][/ROW]
[ROW][C]62[/C][C]4166.1[/C][C]4169.35068136824[/C][C]4168.975[/C][C]1.00009011360544[/C][C]0.999220338700997[/C][/ROW]
[ROW][C]63[/C][C]4179.1[/C][C]4181.88668865188[/C][C]4181.225[/C][C]1.00015825234277[/C][C]0.99933362884761[/C][/ROW]
[ROW][C]64[/C][C]4194.4[/C][C]4194.46182146555[/C][C]4195.35[/C][C]0.999788294532172[/C][C]0.999985261168612[/C][/ROW]
[ROW][C]65[/C][C]4211.7[/C][C]4209.80816075238[/C][C]4209.9625[/C][C]0.999963339519623[/C][C]1.00044938846983[/C][/ROW]
[ROW][C]66[/C][C]4226.3[/C][C]4223.58056777849[/C][C]4223.2[/C][C]1.00009011360544[/C][C]1.00064386891119[/C][/ROW]
[ROW][C]67[/C][C]4235.8[/C][C]4235.89523427839[/C][C]4235.225[/C][C]1.00015825234277[/C][C]0.999977517319688[/C][/ROW]
[ROW][C]68[/C][C]4243.6[/C][C]4246.68826250117[/C][C]4247.5875[/C][C]0.999788294532172[/C][C]0.999272783328967[/C][/ROW]
[ROW][C]69[/C][C]4258.7[/C][C]4261.69375853171[/C][C]4261.85[/C][C]0.999963339519623[/C][C]0.99929751908482[/C][/ROW]
[ROW][C]70[/C][C]4278.2[/C][C]4278.94805669297[/C][C]4278.5625[/C][C]1.00009011360544[/C][C]0.999825177430747[/C][/ROW]
[ROW][C]71[/C][C]4298[/C][C]4297.63000240425[/C][C]4296.95[/C][C]1.00015825234277[/C][C]1.00008609340393[/C][/ROW]
[ROW][C]72[/C][C]4315.1[/C][C]4315.21125273767[/C][C]4316.125[/C][C]0.999788294532172[/C][C]0.99997421847248[/C][/ROW]
[ROW][C]73[/C][C]4334.3[/C][C]4335.1910639864[/C][C]4335.35[/C][C]0.999963339519623[/C][C]0.999794457966616[/C][/ROW]
[ROW][C]74[/C][C]4356[/C][C]4355.29243574033[/C][C]4354.9[/C][C]1.00009011360544[/C][C]1.00016246079227[/C][/ROW]
[ROW][C]75[/C][C]4374[/C][C]NA[/C][C]NA[/C][C]1.00015825234277[/C][C]NA[/C][/ROW]
[ROW][C]76[/C][C]4395.5[/C][C]NA[/C][C]NA[/C][C]0.999788294532172[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41383&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41383&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	3779.7	NA	NA	0.999963339519623	NA
2	3795.5	NA	NA	1.00009011360544	NA
3	3813.1	3811.10302055211	3810.5	1.00015825234277	1.00052398988879
4	3826.9	3822.55307325326	3823.3625	0.999788294532172	1.00113717891248
5	3833.3	3834.15943272009	3834.3	0.999963339519623	0.99977584846557
6	3844.8	3842.5337333684	3842.1875	1.00009011360544	1.00058978444663
7	3851.3	3848.50893918973	3847.9	1.00015825234277	1.00072523173374
8	3851.8	3851.38446819683	3852.2	0.999788294532172	1.00010789154046
9	3854.1	3855.04616697431	3855.1875	0.999963339519623	0.999754564035468
10	3858.4	3857.38507155544	3857.0375	1.00009011360544	1.00026311307420
11	3861.6	3858.42300786607	3857.8125	1.00015825234277	1.00082339135119
12	3856.3	3857.45818208612	3858.275	0.999788294532172	0.99969975511556
13	3855.8	3857.57107440659	3857.7125	0.999963339519623	0.999540883532038
14	3860.4	3855.14736992625	3854.8	1.00009011360544	1.00136249786836
15	3855.1	3850.45924778180	3849.85	1.00015825234277	1.00120524641856
16	3839.5	3842.83627827858	3843.65	0.999788294532172	0.999131818782538
17	3833	3836.62184244366	3836.7625	0.999963339519623	0.99905598138352
18	3833.6	3830.90768579774	3830.5625	1.00009011360544	1.00070278754360
19	3826.8	3825.80534686155	3825.2	1.00015825234277	1.00025998529676
20	3818.2	3818.34146506254	3819.15	0.999788294532172	0.999962951175572
21	3811.4	3813.59768655122	3813.7375	0.999963339519623	0.99942372354615
22	3806.8	3812.01848377701	3811.675	1.00009011360544	0.998631044471788
23	3810.3	3818.21664612190	3817.6125	1.00015825234277	0.997926611594987
24	3818.2	3830.36391930429	3831.175	0.999788294532172	0.996824343701916
25	3858.9	3846.40898362921	3846.55	0.999963339519623	1.00324744883447
26	3867.8	3861.5354455269	3861.1875	1.00009011360544	1.00162229625015
27	3872.3	3870.91248404221	3870.3	1.00015825234277	1.00035844673924
28	3873.3	3873.55477362808	3874.375	0.999788294532172	0.999934227436303
29	3876.7	3877.48284440478	3877.625	0.999963339519623	0.999798104998476
30	3882.6	3880.48715317973	3880.1375	1.00009011360544	1.00054447978743
31	3883.5	3883.28944241495	3882.675	1.00015825234277	1.00005422145018
32	3882.2	3884.66492105107	3885.4875	0.999788294532172	0.999365473959487
33	3888.1	3889.03242097623	3889.175	0.999963339519623	0.999760243455107
34	3893.7	3895.83853642357	3895.4875	1.00009011360544	0.999451071597661
35	3901.9	3905.39293979172	3904.775	1.00015825234277	0.999105611177781
36	3914.3	3916.0457761457	3916.875	0.999788294532172	0.999554199249576
37	3930.3	3932.25583632697	3932.4	0.999963339519623	0.999502617223198
38	3948.3	3950.93100055681	3950.575	1.00009011360544	0.999334080864374
39	3971.5	3968.51542749270	3967.8875	1.00015825234277	1.00075206272013
40	3990.1	3981.0945020587	3981.9375	0.999788294532172	1.00226206585567
41	3993	3993.54108949778	3993.6875	0.999963339519623	0.999864508844244
42	3998	4005.97346018437	4005.6125	1.00009011360544	0.99800960733674
43	4015.8	4021.09874760963	4020.4625	1.00015825234277	0.998682263743765
44	4041.2	4037.90747189549	4038.7625	0.999788294532172	1.00081540454491
45	4060.7	4059.35117677991	4059.5	0.999963339519623	1.00033227556852
46	4076.7	4081.28024573886	4080.9125	1.00009011360544	0.998877742898533
47	4103	4101.94904033338	4101.3	1.00015825234277	1.00025620983008
48	4125.3	4119.05278935046	4119.925	0.999788294532172	1.00151666195337
49	4139.7	4135.39838875038	4135.55	0.999963339519623	1.00104019270823
50	4146.7	4146.52362452519	4146.15	1.00009011360544	1.00004253574579
51	4158	4151.1693283268	4150.5125	1.00015825234277	1.00164548134103
52	4155.1	4150.45863915245	4151.3375	0.999788294532172	1.00111827661738
53	4144.8	4149.43537412888	4149.5875	0.999963339519623	0.998882890390875
54	4148.2	4146.39861326099	4146.025	1.00009011360544	1.00043444610782
55	4142.5	4145.13087287828	4144.475	1.00015825234277	0.999365310056795
56	4142.1	4143.43512638336	4144.3125	0.999788294532172	0.999677773069292
57	4145.4	4144.04807163722	4144.2	0.999963339519623	1.00032623375487
58	4146.3	4145.58604004369	4145.2125	1.00009011360544	1.00017222171954
59	4143.5	4148.44389708917	4147.7875	1.00015825234277	0.998808252633563
60	4149.2	4151.07100948285	4151.95	0.999788294532172	0.999549270663263
61	4158.9	4158.72253364467	4158.875	0.999963339519623	1.00004267328582
62	4166.1	4169.35068136824	4168.975	1.00009011360544	0.999220338700997
63	4179.1	4181.88668865188	4181.225	1.00015825234277	0.99933362884761
64	4194.4	4194.46182146555	4195.35	0.999788294532172	0.999985261168612
65	4211.7	4209.80816075238	4209.9625	0.999963339519623	1.00044938846983
66	4226.3	4223.58056777849	4223.2	1.00009011360544	1.00064386891119
67	4235.8	4235.89523427839	4235.225	1.00015825234277	0.999977517319688
68	4243.6	4246.68826250117	4247.5875	0.999788294532172	0.999272783328967
69	4258.7	4261.69375853171	4261.85	0.999963339519623	0.99929751908482
70	4278.2	4278.94805669297	4278.5625	1.00009011360544	0.999825177430747
71	4298	4297.63000240425	4296.95	1.00015825234277	1.00008609340393
72	4315.1	4315.21125273767	4316.125	0.999788294532172	0.99997421847248
73	4334.3	4335.1910639864	4335.35	0.999963339519623	0.999794457966616
74	4356	4355.29243574033	4354.9	1.00009011360544	1.00016246079227
75	4374	NA	NA	1.00015825234277	NA
76	4395.5	NA	NA	0.999788294532172	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 = 4 ;

Parameters (R input):

par1 = multiplicative ; par2 = 4 ;

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