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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 06 Jun 2009 09:18:22 -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/06/t1244301521gu3n2cz8y7x2ffa.htm/, Retrieved Mon, 29 Apr 2024 07:37:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42018, Retrieved Mon, 29 Apr 2024 07:37:25 +0000

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Estimated Impact

156

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

-     [Classical Decomposition] [Opgave 9 ] [2009-06-02 02:28:18] [3ccda03dddd60e52bd63ea4afd424344]
-   PD  [Classical Decomposition] [Duncan Huysmans O...] [2009-06-05 17:05:40] [74be16979710d4c4e7c6647856088456]
-   PD      [Classical Decomposition] [] [2009-06-06 15:18:22] [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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42018&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42018&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42018&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	'George Udny Yule' @ 72.249.76.132

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	3851.3	NA	NA	0.999161804058414	NA
2	3851.8	NA	NA	0.998270904092836	NA
3	3854.1	NA	NA	0.997989468309282	NA
4	3858.4	NA	NA	0.997597499163265	NA
5	3861.6	NA	NA	0.997964223363847	NA
6	3856.3	NA	NA	0.99877111874649	NA
7	3855.8	3854.87928625939	3849.8875	1.00129660574741	1.00023884372823
8	3860.4	3855.41164410464	3847.46666666667	1.00206498928420	1.00129385818061
9	3855.1	3856.58113623656	3844.2875	1.00319789720112	0.999615945786114
10	3839.5	3850.975409707	3840.35833333333	1.00276460565711	0.997020129061828
11	3833	3839.233682183	3836.07083333333	1.00082450220214	0.998376321240375
12	3833.6	3832.71520315581	3832.34583333333	1.00009638217388	1.00023085379354
13	3826.8	3827.67646564483	3830.8875	0.999161804058414	0.99977101887981
14	3818.2	3824.70027162348	3831.325	0.998270904092836	0.9983004494047
15	3811.4	3824.64493887508	3832.35	0.997989468309282	0.996536949419683
16	3806.8	3825.26267060406	3834.475	0.997597499163265	0.9951734894584
17	3810.3	3829.8914581877	3837.70416666667	0.997964223363847	0.994884591795463
18	3818.2	3836.84583740589	3841.56666666667	0.99877111874649	0.995140321452557
19	3858.9	3850.95754122021	3845.97083333333	1.00129660574741	1.00206246334704
20	3867.8	3858.95227373344	3851	1.00206498928420	1.00229277939683
21	3872.3	3869.19634979387	3856.8625	1.00319789720112	1.00080214337179
22	3873.3	3874.36071594809	3863.67916666667	1.00276460565711	0.999726221685108
23	3876.7	3874.30841088309	3871.11666666667	1.00082450220214	1.00061729445962
24	3882.6	3879.31136042859	3878.9375	1.00009638217388	1.00084773797869
25	3883.5	3882.65950708733	3885.91666666667	0.999161804058414	1.00021647350512
26	3882.2	3885.51576699324	3892.24583333333	0.998270904092836	0.999146634014097
27	3888.1	3891.89279588132	3899.73333333333	0.997989468309282	0.999025462395744
28	3893.7	3899.34259822943	3908.73333333333	0.997597499163265	0.998552936017474
29	3901.9	3910.4687528558	3918.44583333333	0.997964223363847	0.99780876580345
30	3914.3	3923.27283154808	3928.1	0.99877111874649	0.997712921855465
31	3930.3	3943.52741242156	3938.42083333333	1.00129660574741	0.99664579168896
32	3948.3	3958.71619395826	3950.55833333333	1.00206498928420	0.997368794970915
33	3971.5	3977.05266371670	3964.375	1.00319789720112	0.998603824443322
34	3990.1	3990.19256245906	3979.19166666667	1.00276460565711	0.999976802508247
35	3993	3998.48988109591	3995.19583333333	1.00082450220214	0.998627011382005
36	3998	4012.7533872884	4012.36666666667	1.00009638217388	0.99632337553184
37	4015.8	4026.50550147827	4029.88333333333	0.999161804058414	0.997341242555278
38	4041.2	4039.87756500070	4046.875	0.998270904092836	1.00032734531629
39	4060.7	4054.74388566214	4062.9125	0.997989468309282	1.00146892492000
40	4076.7	4067.76199602566	4077.55833333333	0.997597499163265	1.00219727800768
41	4103	4082.43046309418	4090.75833333333	0.997964223363847	1.00503855168919
42	4125.3	4098.29914701575	4103.34166666667	0.99877111874649	1.00658830700631
43	4139.7	4120.21454264407	4114.87916666667	1.00129660574741	1.00472923367321
44	4146.7	4132.87926436665	4124.3625	1.00206498928420	1.00334409372965
45	4158	4145.30985103352	4132.09583333333	1.00319789720112	1.00306132699907
46	4155.1	4149.9663896271	4138.525	1.00276460565711	1.00123702456621
47	4144.8	4146.52850537998	4143.1125	1.00082450220214	0.99958314397749
48	4148.2	4146.19541414821	4145.79583333333	1.00009638217388	1.00048347597051
49	4142.5	4144.11517216431	4147.59166666667	0.999161804058414	0.99961024920949
50	4142.1	4142.02563526199	4149.2	0.998270904092836	1.00001795371264
51	4145.4	4142.54200913665	4150.8875	0.997989468309282	1.00068991234296
52	4146.3	4143.42560968095	4153.40416666667	0.997597499163265	1.00069372316287
53	4143.5	4149.36475519205	4157.82916666667	0.997964223363847	0.998586589625626
54	4149.2	4158.75393052421	4163.87083333333	0.99877111874649	0.997702693959822
55	4158.9	4176.42065878003	4171.0125	1.00129660574741	0.995804862533855
56	4166.1	4187.75902361311	4179.12916666667	1.00206498928420	0.994828015773835
57	4179.1	4201.47221331183	4188.07916666667	1.00319789720112	0.99467514904872
58	4194.4	4209.90246574439	4198.29583333333	1.00276460565711	0.996317618787957
59	4211.7	4213.70050988611	4210.22916666667	1.00082450220214	0.999525236812294
60	4226.3	4223.9862444083	4223.57916666667	1.00009638217388	1.0005477658917
61	4235.8	4234.24789323875	4237.8	0.999161804058414	1.00036656020157
62	4243.6	4245.66695241733	4253.02083333333	0.998270904092836	0.999513161903537
63	4258.7	4260.47109797519	4269.05416666667	0.997989468309282	0.999584295272879
64	4278.2	4275.25811919538	4285.55416666667	0.997597499163265	1.00068811770485
65	4298	4293.76186194427	4302.52083333333	0.997964223363847	1.00098704543754
66	4315.1	4314.40408628819	4319.7125	0.99877111874649	1.00016130007711
67	4334.3	4342.71099257953	4337.0875	1.00129660574741	0.998063193108199
68	4356	NA	NA	1.00206498928420	NA
69	4374	NA	NA	1.00319789720112	NA
70	4395.5	NA	NA	1.00276460565711	NA
71	4417.8	NA	NA	1.00082450220214	NA
72	4432.8	NA	NA	1.00009638217388	NA
73	4446.3	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3851.3 & NA & NA & 0.999161804058414 & NA \tabularnewline
2 & 3851.8 & NA & NA & 0.998270904092836 & NA \tabularnewline
3 & 3854.1 & NA & NA & 0.997989468309282 & NA \tabularnewline
4 & 3858.4 & NA & NA & 0.997597499163265 & NA \tabularnewline
5 & 3861.6 & NA & NA & 0.997964223363847 & NA \tabularnewline
6 & 3856.3 & NA & NA & 0.99877111874649 & NA \tabularnewline
7 & 3855.8 & 3854.87928625939 & 3849.8875 & 1.00129660574741 & 1.00023884372823 \tabularnewline
8 & 3860.4 & 3855.41164410464 & 3847.46666666667 & 1.00206498928420 & 1.00129385818061 \tabularnewline
9 & 3855.1 & 3856.58113623656 & 3844.2875 & 1.00319789720112 & 0.999615945786114 \tabularnewline
10 & 3839.5 & 3850.975409707 & 3840.35833333333 & 1.00276460565711 & 0.997020129061828 \tabularnewline
11 & 3833 & 3839.233682183 & 3836.07083333333 & 1.00082450220214 & 0.998376321240375 \tabularnewline
12 & 3833.6 & 3832.71520315581 & 3832.34583333333 & 1.00009638217388 & 1.00023085379354 \tabularnewline
13 & 3826.8 & 3827.67646564483 & 3830.8875 & 0.999161804058414 & 0.99977101887981 \tabularnewline
14 & 3818.2 & 3824.70027162348 & 3831.325 & 0.998270904092836 & 0.9983004494047 \tabularnewline
15 & 3811.4 & 3824.64493887508 & 3832.35 & 0.997989468309282 & 0.996536949419683 \tabularnewline
16 & 3806.8 & 3825.26267060406 & 3834.475 & 0.997597499163265 & 0.9951734894584 \tabularnewline
17 & 3810.3 & 3829.8914581877 & 3837.70416666667 & 0.997964223363847 & 0.994884591795463 \tabularnewline
18 & 3818.2 & 3836.84583740589 & 3841.56666666667 & 0.99877111874649 & 0.995140321452557 \tabularnewline
19 & 3858.9 & 3850.95754122021 & 3845.97083333333 & 1.00129660574741 & 1.00206246334704 \tabularnewline
20 & 3867.8 & 3858.95227373344 & 3851 & 1.00206498928420 & 1.00229277939683 \tabularnewline
21 & 3872.3 & 3869.19634979387 & 3856.8625 & 1.00319789720112 & 1.00080214337179 \tabularnewline
22 & 3873.3 & 3874.36071594809 & 3863.67916666667 & 1.00276460565711 & 0.999726221685108 \tabularnewline
23 & 3876.7 & 3874.30841088309 & 3871.11666666667 & 1.00082450220214 & 1.00061729445962 \tabularnewline
24 & 3882.6 & 3879.31136042859 & 3878.9375 & 1.00009638217388 & 1.00084773797869 \tabularnewline
25 & 3883.5 & 3882.65950708733 & 3885.91666666667 & 0.999161804058414 & 1.00021647350512 \tabularnewline
26 & 3882.2 & 3885.51576699324 & 3892.24583333333 & 0.998270904092836 & 0.999146634014097 \tabularnewline
27 & 3888.1 & 3891.89279588132 & 3899.73333333333 & 0.997989468309282 & 0.999025462395744 \tabularnewline
28 & 3893.7 & 3899.34259822943 & 3908.73333333333 & 0.997597499163265 & 0.998552936017474 \tabularnewline
29 & 3901.9 & 3910.4687528558 & 3918.44583333333 & 0.997964223363847 & 0.99780876580345 \tabularnewline
30 & 3914.3 & 3923.27283154808 & 3928.1 & 0.99877111874649 & 0.997712921855465 \tabularnewline
31 & 3930.3 & 3943.52741242156 & 3938.42083333333 & 1.00129660574741 & 0.99664579168896 \tabularnewline
32 & 3948.3 & 3958.71619395826 & 3950.55833333333 & 1.00206498928420 & 0.997368794970915 \tabularnewline
33 & 3971.5 & 3977.05266371670 & 3964.375 & 1.00319789720112 & 0.998603824443322 \tabularnewline
34 & 3990.1 & 3990.19256245906 & 3979.19166666667 & 1.00276460565711 & 0.999976802508247 \tabularnewline
35 & 3993 & 3998.48988109591 & 3995.19583333333 & 1.00082450220214 & 0.998627011382005 \tabularnewline
36 & 3998 & 4012.7533872884 & 4012.36666666667 & 1.00009638217388 & 0.99632337553184 \tabularnewline
37 & 4015.8 & 4026.50550147827 & 4029.88333333333 & 0.999161804058414 & 0.997341242555278 \tabularnewline
38 & 4041.2 & 4039.87756500070 & 4046.875 & 0.998270904092836 & 1.00032734531629 \tabularnewline
39 & 4060.7 & 4054.74388566214 & 4062.9125 & 0.997989468309282 & 1.00146892492000 \tabularnewline
40 & 4076.7 & 4067.76199602566 & 4077.55833333333 & 0.997597499163265 & 1.00219727800768 \tabularnewline
41 & 4103 & 4082.43046309418 & 4090.75833333333 & 0.997964223363847 & 1.00503855168919 \tabularnewline
42 & 4125.3 & 4098.29914701575 & 4103.34166666667 & 0.99877111874649 & 1.00658830700631 \tabularnewline
43 & 4139.7 & 4120.21454264407 & 4114.87916666667 & 1.00129660574741 & 1.00472923367321 \tabularnewline
44 & 4146.7 & 4132.87926436665 & 4124.3625 & 1.00206498928420 & 1.00334409372965 \tabularnewline
45 & 4158 & 4145.30985103352 & 4132.09583333333 & 1.00319789720112 & 1.00306132699907 \tabularnewline
46 & 4155.1 & 4149.9663896271 & 4138.525 & 1.00276460565711 & 1.00123702456621 \tabularnewline
47 & 4144.8 & 4146.52850537998 & 4143.1125 & 1.00082450220214 & 0.99958314397749 \tabularnewline
48 & 4148.2 & 4146.19541414821 & 4145.79583333333 & 1.00009638217388 & 1.00048347597051 \tabularnewline
49 & 4142.5 & 4144.11517216431 & 4147.59166666667 & 0.999161804058414 & 0.99961024920949 \tabularnewline
50 & 4142.1 & 4142.02563526199 & 4149.2 & 0.998270904092836 & 1.00001795371264 \tabularnewline
51 & 4145.4 & 4142.54200913665 & 4150.8875 & 0.997989468309282 & 1.00068991234296 \tabularnewline
52 & 4146.3 & 4143.42560968095 & 4153.40416666667 & 0.997597499163265 & 1.00069372316287 \tabularnewline
53 & 4143.5 & 4149.36475519205 & 4157.82916666667 & 0.997964223363847 & 0.998586589625626 \tabularnewline
54 & 4149.2 & 4158.75393052421 & 4163.87083333333 & 0.99877111874649 & 0.997702693959822 \tabularnewline
55 & 4158.9 & 4176.42065878003 & 4171.0125 & 1.00129660574741 & 0.995804862533855 \tabularnewline
56 & 4166.1 & 4187.75902361311 & 4179.12916666667 & 1.00206498928420 & 0.994828015773835 \tabularnewline
57 & 4179.1 & 4201.47221331183 & 4188.07916666667 & 1.00319789720112 & 0.99467514904872 \tabularnewline
58 & 4194.4 & 4209.90246574439 & 4198.29583333333 & 1.00276460565711 & 0.996317618787957 \tabularnewline
59 & 4211.7 & 4213.70050988611 & 4210.22916666667 & 1.00082450220214 & 0.999525236812294 \tabularnewline
60 & 4226.3 & 4223.9862444083 & 4223.57916666667 & 1.00009638217388 & 1.0005477658917 \tabularnewline
61 & 4235.8 & 4234.24789323875 & 4237.8 & 0.999161804058414 & 1.00036656020157 \tabularnewline
62 & 4243.6 & 4245.66695241733 & 4253.02083333333 & 0.998270904092836 & 0.999513161903537 \tabularnewline
63 & 4258.7 & 4260.47109797519 & 4269.05416666667 & 0.997989468309282 & 0.999584295272879 \tabularnewline
64 & 4278.2 & 4275.25811919538 & 4285.55416666667 & 0.997597499163265 & 1.00068811770485 \tabularnewline
65 & 4298 & 4293.76186194427 & 4302.52083333333 & 0.997964223363847 & 1.00098704543754 \tabularnewline
66 & 4315.1 & 4314.40408628819 & 4319.7125 & 0.99877111874649 & 1.00016130007711 \tabularnewline
67 & 4334.3 & 4342.71099257953 & 4337.0875 & 1.00129660574741 & 0.998063193108199 \tabularnewline
68 & 4356 & NA & NA & 1.00206498928420 & NA \tabularnewline
69 & 4374 & NA & NA & 1.00319789720112 & NA \tabularnewline
70 & 4395.5 & NA & NA & 1.00276460565711 & NA \tabularnewline
71 & 4417.8 & NA & NA & 1.00082450220214 & NA \tabularnewline
72 & 4432.8 & NA & NA & 1.00009638217388 & NA \tabularnewline
73 & 4446.3 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42018&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]3851.3[/C][C]NA[/C][C]NA[/C][C]0.999161804058414[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3851.8[/C][C]NA[/C][C]NA[/C][C]0.998270904092836[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3854.1[/C][C]NA[/C][C]NA[/C][C]0.997989468309282[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3858.4[/C][C]NA[/C][C]NA[/C][C]0.997597499163265[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3861.6[/C][C]NA[/C][C]NA[/C][C]0.997964223363847[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3856.3[/C][C]NA[/C][C]NA[/C][C]0.99877111874649[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3855.8[/C][C]3854.87928625939[/C][C]3849.8875[/C][C]1.00129660574741[/C][C]1.00023884372823[/C][/ROW]
[ROW][C]8[/C][C]3860.4[/C][C]3855.41164410464[/C][C]3847.46666666667[/C][C]1.00206498928420[/C][C]1.00129385818061[/C][/ROW]
[ROW][C]9[/C][C]3855.1[/C][C]3856.58113623656[/C][C]3844.2875[/C][C]1.00319789720112[/C][C]0.999615945786114[/C][/ROW]
[ROW][C]10[/C][C]3839.5[/C][C]3850.975409707[/C][C]3840.35833333333[/C][C]1.00276460565711[/C][C]0.997020129061828[/C][/ROW]
[ROW][C]11[/C][C]3833[/C][C]3839.233682183[/C][C]3836.07083333333[/C][C]1.00082450220214[/C][C]0.998376321240375[/C][/ROW]
[ROW][C]12[/C][C]3833.6[/C][C]3832.71520315581[/C][C]3832.34583333333[/C][C]1.00009638217388[/C][C]1.00023085379354[/C][/ROW]
[ROW][C]13[/C][C]3826.8[/C][C]3827.67646564483[/C][C]3830.8875[/C][C]0.999161804058414[/C][C]0.99977101887981[/C][/ROW]
[ROW][C]14[/C][C]3818.2[/C][C]3824.70027162348[/C][C]3831.325[/C][C]0.998270904092836[/C][C]0.9983004494047[/C][/ROW]
[ROW][C]15[/C][C]3811.4[/C][C]3824.64493887508[/C][C]3832.35[/C][C]0.997989468309282[/C][C]0.996536949419683[/C][/ROW]
[ROW][C]16[/C][C]3806.8[/C][C]3825.26267060406[/C][C]3834.475[/C][C]0.997597499163265[/C][C]0.9951734894584[/C][/ROW]
[ROW][C]17[/C][C]3810.3[/C][C]3829.8914581877[/C][C]3837.70416666667[/C][C]0.997964223363847[/C][C]0.994884591795463[/C][/ROW]
[ROW][C]18[/C][C]3818.2[/C][C]3836.84583740589[/C][C]3841.56666666667[/C][C]0.99877111874649[/C][C]0.995140321452557[/C][/ROW]
[ROW][C]19[/C][C]3858.9[/C][C]3850.95754122021[/C][C]3845.97083333333[/C][C]1.00129660574741[/C][C]1.00206246334704[/C][/ROW]
[ROW][C]20[/C][C]3867.8[/C][C]3858.95227373344[/C][C]3851[/C][C]1.00206498928420[/C][C]1.00229277939683[/C][/ROW]
[ROW][C]21[/C][C]3872.3[/C][C]3869.19634979387[/C][C]3856.8625[/C][C]1.00319789720112[/C][C]1.00080214337179[/C][/ROW]
[ROW][C]22[/C][C]3873.3[/C][C]3874.36071594809[/C][C]3863.67916666667[/C][C]1.00276460565711[/C][C]0.999726221685108[/C][/ROW]
[ROW][C]23[/C][C]3876.7[/C][C]3874.30841088309[/C][C]3871.11666666667[/C][C]1.00082450220214[/C][C]1.00061729445962[/C][/ROW]
[ROW][C]24[/C][C]3882.6[/C][C]3879.31136042859[/C][C]3878.9375[/C][C]1.00009638217388[/C][C]1.00084773797869[/C][/ROW]
[ROW][C]25[/C][C]3883.5[/C][C]3882.65950708733[/C][C]3885.91666666667[/C][C]0.999161804058414[/C][C]1.00021647350512[/C][/ROW]
[ROW][C]26[/C][C]3882.2[/C][C]3885.51576699324[/C][C]3892.24583333333[/C][C]0.998270904092836[/C][C]0.999146634014097[/C][/ROW]
[ROW][C]27[/C][C]3888.1[/C][C]3891.89279588132[/C][C]3899.73333333333[/C][C]0.997989468309282[/C][C]0.999025462395744[/C][/ROW]
[ROW][C]28[/C][C]3893.7[/C][C]3899.34259822943[/C][C]3908.73333333333[/C][C]0.997597499163265[/C][C]0.998552936017474[/C][/ROW]
[ROW][C]29[/C][C]3901.9[/C][C]3910.4687528558[/C][C]3918.44583333333[/C][C]0.997964223363847[/C][C]0.99780876580345[/C][/ROW]
[ROW][C]30[/C][C]3914.3[/C][C]3923.27283154808[/C][C]3928.1[/C][C]0.99877111874649[/C][C]0.997712921855465[/C][/ROW]
[ROW][C]31[/C][C]3930.3[/C][C]3943.52741242156[/C][C]3938.42083333333[/C][C]1.00129660574741[/C][C]0.99664579168896[/C][/ROW]
[ROW][C]32[/C][C]3948.3[/C][C]3958.71619395826[/C][C]3950.55833333333[/C][C]1.00206498928420[/C][C]0.997368794970915[/C][/ROW]
[ROW][C]33[/C][C]3971.5[/C][C]3977.05266371670[/C][C]3964.375[/C][C]1.00319789720112[/C][C]0.998603824443322[/C][/ROW]
[ROW][C]34[/C][C]3990.1[/C][C]3990.19256245906[/C][C]3979.19166666667[/C][C]1.00276460565711[/C][C]0.999976802508247[/C][/ROW]
[ROW][C]35[/C][C]3993[/C][C]3998.48988109591[/C][C]3995.19583333333[/C][C]1.00082450220214[/C][C]0.998627011382005[/C][/ROW]
[ROW][C]36[/C][C]3998[/C][C]4012.7533872884[/C][C]4012.36666666667[/C][C]1.00009638217388[/C][C]0.99632337553184[/C][/ROW]
[ROW][C]37[/C][C]4015.8[/C][C]4026.50550147827[/C][C]4029.88333333333[/C][C]0.999161804058414[/C][C]0.997341242555278[/C][/ROW]
[ROW][C]38[/C][C]4041.2[/C][C]4039.87756500070[/C][C]4046.875[/C][C]0.998270904092836[/C][C]1.00032734531629[/C][/ROW]
[ROW][C]39[/C][C]4060.7[/C][C]4054.74388566214[/C][C]4062.9125[/C][C]0.997989468309282[/C][C]1.00146892492000[/C][/ROW]
[ROW][C]40[/C][C]4076.7[/C][C]4067.76199602566[/C][C]4077.55833333333[/C][C]0.997597499163265[/C][C]1.00219727800768[/C][/ROW]
[ROW][C]41[/C][C]4103[/C][C]4082.43046309418[/C][C]4090.75833333333[/C][C]0.997964223363847[/C][C]1.00503855168919[/C][/ROW]
[ROW][C]42[/C][C]4125.3[/C][C]4098.29914701575[/C][C]4103.34166666667[/C][C]0.99877111874649[/C][C]1.00658830700631[/C][/ROW]
[ROW][C]43[/C][C]4139.7[/C][C]4120.21454264407[/C][C]4114.87916666667[/C][C]1.00129660574741[/C][C]1.00472923367321[/C][/ROW]
[ROW][C]44[/C][C]4146.7[/C][C]4132.87926436665[/C][C]4124.3625[/C][C]1.00206498928420[/C][C]1.00334409372965[/C][/ROW]
[ROW][C]45[/C][C]4158[/C][C]4145.30985103352[/C][C]4132.09583333333[/C][C]1.00319789720112[/C][C]1.00306132699907[/C][/ROW]
[ROW][C]46[/C][C]4155.1[/C][C]4149.9663896271[/C][C]4138.525[/C][C]1.00276460565711[/C][C]1.00123702456621[/C][/ROW]
[ROW][C]47[/C][C]4144.8[/C][C]4146.52850537998[/C][C]4143.1125[/C][C]1.00082450220214[/C][C]0.99958314397749[/C][/ROW]
[ROW][C]48[/C][C]4148.2[/C][C]4146.19541414821[/C][C]4145.79583333333[/C][C]1.00009638217388[/C][C]1.00048347597051[/C][/ROW]
[ROW][C]49[/C][C]4142.5[/C][C]4144.11517216431[/C][C]4147.59166666667[/C][C]0.999161804058414[/C][C]0.99961024920949[/C][/ROW]
[ROW][C]50[/C][C]4142.1[/C][C]4142.02563526199[/C][C]4149.2[/C][C]0.998270904092836[/C][C]1.00001795371264[/C][/ROW]
[ROW][C]51[/C][C]4145.4[/C][C]4142.54200913665[/C][C]4150.8875[/C][C]0.997989468309282[/C][C]1.00068991234296[/C][/ROW]
[ROW][C]52[/C][C]4146.3[/C][C]4143.42560968095[/C][C]4153.40416666667[/C][C]0.997597499163265[/C][C]1.00069372316287[/C][/ROW]
[ROW][C]53[/C][C]4143.5[/C][C]4149.36475519205[/C][C]4157.82916666667[/C][C]0.997964223363847[/C][C]0.998586589625626[/C][/ROW]
[ROW][C]54[/C][C]4149.2[/C][C]4158.75393052421[/C][C]4163.87083333333[/C][C]0.99877111874649[/C][C]0.997702693959822[/C][/ROW]
[ROW][C]55[/C][C]4158.9[/C][C]4176.42065878003[/C][C]4171.0125[/C][C]1.00129660574741[/C][C]0.995804862533855[/C][/ROW]
[ROW][C]56[/C][C]4166.1[/C][C]4187.75902361311[/C][C]4179.12916666667[/C][C]1.00206498928420[/C][C]0.994828015773835[/C][/ROW]
[ROW][C]57[/C][C]4179.1[/C][C]4201.47221331183[/C][C]4188.07916666667[/C][C]1.00319789720112[/C][C]0.99467514904872[/C][/ROW]
[ROW][C]58[/C][C]4194.4[/C][C]4209.90246574439[/C][C]4198.29583333333[/C][C]1.00276460565711[/C][C]0.996317618787957[/C][/ROW]
[ROW][C]59[/C][C]4211.7[/C][C]4213.70050988611[/C][C]4210.22916666667[/C][C]1.00082450220214[/C][C]0.999525236812294[/C][/ROW]
[ROW][C]60[/C][C]4226.3[/C][C]4223.9862444083[/C][C]4223.57916666667[/C][C]1.00009638217388[/C][C]1.0005477658917[/C][/ROW]
[ROW][C]61[/C][C]4235.8[/C][C]4234.24789323875[/C][C]4237.8[/C][C]0.999161804058414[/C][C]1.00036656020157[/C][/ROW]
[ROW][C]62[/C][C]4243.6[/C][C]4245.66695241733[/C][C]4253.02083333333[/C][C]0.998270904092836[/C][C]0.999513161903537[/C][/ROW]
[ROW][C]63[/C][C]4258.7[/C][C]4260.47109797519[/C][C]4269.05416666667[/C][C]0.997989468309282[/C][C]0.999584295272879[/C][/ROW]
[ROW][C]64[/C][C]4278.2[/C][C]4275.25811919538[/C][C]4285.55416666667[/C][C]0.997597499163265[/C][C]1.00068811770485[/C][/ROW]
[ROW][C]65[/C][C]4298[/C][C]4293.76186194427[/C][C]4302.52083333333[/C][C]0.997964223363847[/C][C]1.00098704543754[/C][/ROW]
[ROW][C]66[/C][C]4315.1[/C][C]4314.40408628819[/C][C]4319.7125[/C][C]0.99877111874649[/C][C]1.00016130007711[/C][/ROW]
[ROW][C]67[/C][C]4334.3[/C][C]4342.71099257953[/C][C]4337.0875[/C][C]1.00129660574741[/C][C]0.998063193108199[/C][/ROW]
[ROW][C]68[/C][C]4356[/C][C]NA[/C][C]NA[/C][C]1.00206498928420[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]4374[/C][C]NA[/C][C]NA[/C][C]1.00319789720112[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]4395.5[/C][C]NA[/C][C]NA[/C][C]1.00276460565711[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]4417.8[/C][C]NA[/C][C]NA[/C][C]1.00082450220214[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]4432.8[/C][C]NA[/C][C]NA[/C][C]1.00009638217388[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]4446.3[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42018&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42018&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	3851.3	NA	NA	0.999161804058414	NA
2	3851.8	NA	NA	0.998270904092836	NA
3	3854.1	NA	NA	0.997989468309282	NA
4	3858.4	NA	NA	0.997597499163265	NA
5	3861.6	NA	NA	0.997964223363847	NA
6	3856.3	NA	NA	0.99877111874649	NA
7	3855.8	3854.87928625939	3849.8875	1.00129660574741	1.00023884372823
8	3860.4	3855.41164410464	3847.46666666667	1.00206498928420	1.00129385818061
9	3855.1	3856.58113623656	3844.2875	1.00319789720112	0.999615945786114
10	3839.5	3850.975409707	3840.35833333333	1.00276460565711	0.997020129061828
11	3833	3839.233682183	3836.07083333333	1.00082450220214	0.998376321240375
12	3833.6	3832.71520315581	3832.34583333333	1.00009638217388	1.00023085379354
13	3826.8	3827.67646564483	3830.8875	0.999161804058414	0.99977101887981
14	3818.2	3824.70027162348	3831.325	0.998270904092836	0.9983004494047
15	3811.4	3824.64493887508	3832.35	0.997989468309282	0.996536949419683
16	3806.8	3825.26267060406	3834.475	0.997597499163265	0.9951734894584
17	3810.3	3829.8914581877	3837.70416666667	0.997964223363847	0.994884591795463
18	3818.2	3836.84583740589	3841.56666666667	0.99877111874649	0.995140321452557
19	3858.9	3850.95754122021	3845.97083333333	1.00129660574741	1.00206246334704
20	3867.8	3858.95227373344	3851	1.00206498928420	1.00229277939683
21	3872.3	3869.19634979387	3856.8625	1.00319789720112	1.00080214337179
22	3873.3	3874.36071594809	3863.67916666667	1.00276460565711	0.999726221685108
23	3876.7	3874.30841088309	3871.11666666667	1.00082450220214	1.00061729445962
24	3882.6	3879.31136042859	3878.9375	1.00009638217388	1.00084773797869
25	3883.5	3882.65950708733	3885.91666666667	0.999161804058414	1.00021647350512
26	3882.2	3885.51576699324	3892.24583333333	0.998270904092836	0.999146634014097
27	3888.1	3891.89279588132	3899.73333333333	0.997989468309282	0.999025462395744
28	3893.7	3899.34259822943	3908.73333333333	0.997597499163265	0.998552936017474
29	3901.9	3910.4687528558	3918.44583333333	0.997964223363847	0.99780876580345
30	3914.3	3923.27283154808	3928.1	0.99877111874649	0.997712921855465
31	3930.3	3943.52741242156	3938.42083333333	1.00129660574741	0.99664579168896
32	3948.3	3958.71619395826	3950.55833333333	1.00206498928420	0.997368794970915
33	3971.5	3977.05266371670	3964.375	1.00319789720112	0.998603824443322
34	3990.1	3990.19256245906	3979.19166666667	1.00276460565711	0.999976802508247
35	3993	3998.48988109591	3995.19583333333	1.00082450220214	0.998627011382005
36	3998	4012.7533872884	4012.36666666667	1.00009638217388	0.99632337553184
37	4015.8	4026.50550147827	4029.88333333333	0.999161804058414	0.997341242555278
38	4041.2	4039.87756500070	4046.875	0.998270904092836	1.00032734531629
39	4060.7	4054.74388566214	4062.9125	0.997989468309282	1.00146892492000
40	4076.7	4067.76199602566	4077.55833333333	0.997597499163265	1.00219727800768
41	4103	4082.43046309418	4090.75833333333	0.997964223363847	1.00503855168919
42	4125.3	4098.29914701575	4103.34166666667	0.99877111874649	1.00658830700631
43	4139.7	4120.21454264407	4114.87916666667	1.00129660574741	1.00472923367321
44	4146.7	4132.87926436665	4124.3625	1.00206498928420	1.00334409372965
45	4158	4145.30985103352	4132.09583333333	1.00319789720112	1.00306132699907
46	4155.1	4149.9663896271	4138.525	1.00276460565711	1.00123702456621
47	4144.8	4146.52850537998	4143.1125	1.00082450220214	0.99958314397749
48	4148.2	4146.19541414821	4145.79583333333	1.00009638217388	1.00048347597051
49	4142.5	4144.11517216431	4147.59166666667	0.999161804058414	0.99961024920949
50	4142.1	4142.02563526199	4149.2	0.998270904092836	1.00001795371264
51	4145.4	4142.54200913665	4150.8875	0.997989468309282	1.00068991234296
52	4146.3	4143.42560968095	4153.40416666667	0.997597499163265	1.00069372316287
53	4143.5	4149.36475519205	4157.82916666667	0.997964223363847	0.998586589625626
54	4149.2	4158.75393052421	4163.87083333333	0.99877111874649	0.997702693959822
55	4158.9	4176.42065878003	4171.0125	1.00129660574741	0.995804862533855
56	4166.1	4187.75902361311	4179.12916666667	1.00206498928420	0.994828015773835
57	4179.1	4201.47221331183	4188.07916666667	1.00319789720112	0.99467514904872
58	4194.4	4209.90246574439	4198.29583333333	1.00276460565711	0.996317618787957
59	4211.7	4213.70050988611	4210.22916666667	1.00082450220214	0.999525236812294
60	4226.3	4223.9862444083	4223.57916666667	1.00009638217388	1.0005477658917
61	4235.8	4234.24789323875	4237.8	0.999161804058414	1.00036656020157
62	4243.6	4245.66695241733	4253.02083333333	0.998270904092836	0.999513161903537
63	4258.7	4260.47109797519	4269.05416666667	0.997989468309282	0.999584295272879
64	4278.2	4275.25811919538	4285.55416666667	0.997597499163265	1.00068811770485
65	4298	4293.76186194427	4302.52083333333	0.997964223363847	1.00098704543754
66	4315.1	4314.40408628819	4319.7125	0.99877111874649	1.00016130007711
67	4334.3	4342.71099257953	4337.0875	1.00129660574741	0.998063193108199
68	4356	NA	NA	1.00206498928420	NA
69	4374	NA	NA	1.00319789720112	NA
70	4395.5	NA	NA	1.00276460565711	NA
71	4417.8	NA	NA	1.00082450220214	NA
72	4432.8	NA	NA	1.00009638217388	NA
73	4446.3	NA	NA	NA	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