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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Fri, 04 May 2012 11:37:52 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/04/t13361458838cgzvkvu03r3afp.htm/, Retrieved Tue, 10 Feb 2026 11:49:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166203, Retrieved Tue, 10 Feb 2026 11:49:38 +0000

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Estimated Impact

346

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-       [Classical Decomposition] [] [2012-05-04 15:37:52] [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	3 seconds
R Server	'AstonUniversity' @ aston.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 & 3 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166203&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166203&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166203&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	3 seconds
R Server	'AstonUniversity' @ aston.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	4	NA	NA	0.992261907441568	NA
2	4	NA	NA	0.988470122310653	NA
3	4	NA	NA	0.996830925965778	NA
4	4	NA	NA	1.00571769136017	NA
5	4	NA	NA	1.01153661325885	NA
6	4	NA	NA	1.00950478716642	NA
7	4	4.04273420349546	4.02541666666667	1.00430204827545	0.989429380873342
8	4	4.03768886513353	4.03125	1.00159723786258	0.99066573319728
9	4.06	4.05063351628271	4.04666666666667	1.0009802758524	1.0023123503224
10	4.07	4.06855481375718	4.0775	0.997806208156266	1.00035520874339
11	4.07	4.0965214832051	4.1175	0.994905035386788	0.99352585277196
12	4.07	4.14455260398884	4.16083333333333	0.99608714696307	0.98201190547875
13	4.07	4.17163443586893	4.20416666666667	0.992261907441568	0.975636782793083
14	4.07	4.19893870706546	4.24791666666667	0.988470122310653	0.96929254841265
15	4.3	4.27598932617404	4.28958333333333	0.996830925965778	1.00561523240458
16	4.44	4.35308140743729	4.32833333333333	1.00571769136017	1.01996714153202
17	4.52	4.41704321123033	4.36666666666667	1.01153661325885	1.02330898382608
18	4.52	4.44686858746807	4.405	1.00950478716642	1.01644559786139
19	4.52	4.46244876783724	4.44333333333333	1.00430204827545	1.01289678272108
20	4.53	4.48882495435413	4.48166666666667	1.00159723786258	1.00917278933007
21	4.53	4.51483811920926	4.51041666666667	1.0009802758524	1.00335823353804
22	4.53	4.51715185484076	4.52708333333333	0.997806208156266	1.00284430224445
23	4.53	4.51562522936178	4.53875	0.994905035386788	1.00318334004885
24	4.53	4.5301213371258	4.54791666666667	0.99608714696307	0.999973215479947
25	4.53	4.52182020070351	4.55708333333333	0.992261907441568	1.00180896164231
26	4.53	4.51318983345006	4.56583333333333	0.988470122310653	1.00372467526745
27	4.53	4.55967079385513	4.57416666666667	0.996830925965778	0.993492777177002
28	4.61	4.608701320658	4.5825	1.00571769136017	1.00028178856724
29	4.63	4.64379600203586	4.59083333333333	1.01153661325885	0.997029154159698
30	4.63	4.64288076697621	4.59916666666667	1.00950478716642	0.997225695075387
31	4.63	4.62732168742913	4.6075	1.00430204827545	1.00057880405811
32	4.63	4.62320591710069	4.61583333333333	1.00159723786258	1.00146956095427
33	4.63	4.62995085093229	4.62541666666667	1.0009802758524	1.00001061546208
34	4.63	4.62441602221756	4.63458333333333	0.997806208156266	1.00120749901298
35	4.63	4.61843208301842	4.64208333333333	0.994905035386788	1.0025047281791
36	4.63	4.63180523337828	4.65	0.99608714696307	0.99961025274438
37	4.63	4.62228671883197	4.65833333333333	0.992261907441568	1.00166871542966
38	4.63	4.61327243333401	4.66708333333333	0.988470122310653	1.0036259654958
39	4.66	4.66143061754747	4.67625	0.996830925965778	0.999693094746045
40	4.7	4.71220643306048	4.68541666666667	1.00571769136017	0.99740961410883
41	4.72	4.74958587283918	4.69541666666667	1.01153661325885	0.993770852105576
42	4.73	4.75602942853778	4.71125	1.00950478716642	0.994527067393318
43	4.73	4.75244098427678	4.73208333333333	1.00430204827545	0.99527800884829
44	4.74	4.76050820512436	4.75291666666667	1.00159723786258	0.995692013490853
45	4.74	4.77717836650558	4.7725	1.0009802758524	0.992217505051465
46	4.74	4.77907598448178	4.78958333333333	0.997806208156266	0.9918235272658
47	4.76	4.78342050138673	4.80791666666667	0.994905035386788	0.99510381715763
48	4.88	4.80944077458669	4.82833333333333	0.99608714696307	1.01467098332641
49	4.88	4.81081648124587	4.84833333333333	0.992261907441568	1.01438082683549
50	4.88	4.81179018289806	4.86791666666667	0.988470122310653	1.01417555930522
51	4.88	4.87159580443859	4.88708333333333	0.996830925965778	1.00172514221187
52	4.89	4.93430242323585	4.90625	1.00571769136017	0.991021542776294
53	4.97	4.981396346711	4.92458333333333	1.01153661325885	0.997712218438807
54	4.97	4.98400925963953	4.93708333333333	1.00950478716642	0.997189158585042
55	4.97	4.96585516953531	4.94458333333333	1.00430204827545	1.00083466599874
56	4.97	4.95999298833199	4.95208333333333	1.00159723786258	1.00201754552709
57	4.97	4.96444509311296	4.95958333333333	1.0009802758524	1.00111893812558
58	4.97	4.95618658642952	4.96708333333333	0.997806208156266	1.00278710523294
59	4.97	4.94675074469606	4.97208333333333	0.994905035386788	1.00469990434203
60	4.97	4.95636362876374	4.97583333333333	0.99608714696307	1.00275128547008
61	4.97	4.94270462644331	4.98125	0.992261907441568	1.00552235579902
62	4.97	4.92958287247342	4.98708333333333	0.988470122310653	1.00819889401845
63	4.97	4.97750909032245	4.99333333333333	0.996830925965778	0.998491395960069
64	4.98	5.02858845680087	5	1.00571769136017	0.990337555515176
65	5	5.06484811730486	5.00708333333333	1.01153661325885	0.987196433969403
66	5.03	5.06224588064493	5.01458333333333	1.00950478716642	0.993630123584431
67	5.04	NA	NA	1.00430204827545	NA
68	5.04	NA	NA	1.00159723786258	NA
69	5.05	NA	NA	1.0009802758524	NA
70	5.05	NA	NA	0.997806208156266	NA
71	5.06	NA	NA	0.994905035386788	NA
72	5.06	NA	NA	0.99608714696307	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4 & NA & NA & 0.992261907441568 & NA \tabularnewline
2 & 4 & NA & NA & 0.988470122310653 & NA \tabularnewline
3 & 4 & NA & NA & 0.996830925965778 & NA \tabularnewline
4 & 4 & NA & NA & 1.00571769136017 & NA \tabularnewline
5 & 4 & NA & NA & 1.01153661325885 & NA \tabularnewline
6 & 4 & NA & NA & 1.00950478716642 & NA \tabularnewline
7 & 4 & 4.04273420349546 & 4.02541666666667 & 1.00430204827545 & 0.989429380873342 \tabularnewline
8 & 4 & 4.03768886513353 & 4.03125 & 1.00159723786258 & 0.99066573319728 \tabularnewline
9 & 4.06 & 4.05063351628271 & 4.04666666666667 & 1.0009802758524 & 1.0023123503224 \tabularnewline
10 & 4.07 & 4.06855481375718 & 4.0775 & 0.997806208156266 & 1.00035520874339 \tabularnewline
11 & 4.07 & 4.0965214832051 & 4.1175 & 0.994905035386788 & 0.99352585277196 \tabularnewline
12 & 4.07 & 4.14455260398884 & 4.16083333333333 & 0.99608714696307 & 0.98201190547875 \tabularnewline
13 & 4.07 & 4.17163443586893 & 4.20416666666667 & 0.992261907441568 & 0.975636782793083 \tabularnewline
14 & 4.07 & 4.19893870706546 & 4.24791666666667 & 0.988470122310653 & 0.96929254841265 \tabularnewline
15 & 4.3 & 4.27598932617404 & 4.28958333333333 & 0.996830925965778 & 1.00561523240458 \tabularnewline
16 & 4.44 & 4.35308140743729 & 4.32833333333333 & 1.00571769136017 & 1.01996714153202 \tabularnewline
17 & 4.52 & 4.41704321123033 & 4.36666666666667 & 1.01153661325885 & 1.02330898382608 \tabularnewline
18 & 4.52 & 4.44686858746807 & 4.405 & 1.00950478716642 & 1.01644559786139 \tabularnewline
19 & 4.52 & 4.46244876783724 & 4.44333333333333 & 1.00430204827545 & 1.01289678272108 \tabularnewline
20 & 4.53 & 4.48882495435413 & 4.48166666666667 & 1.00159723786258 & 1.00917278933007 \tabularnewline
21 & 4.53 & 4.51483811920926 & 4.51041666666667 & 1.0009802758524 & 1.00335823353804 \tabularnewline
22 & 4.53 & 4.51715185484076 & 4.52708333333333 & 0.997806208156266 & 1.00284430224445 \tabularnewline
23 & 4.53 & 4.51562522936178 & 4.53875 & 0.994905035386788 & 1.00318334004885 \tabularnewline
24 & 4.53 & 4.5301213371258 & 4.54791666666667 & 0.99608714696307 & 0.999973215479947 \tabularnewline
25 & 4.53 & 4.52182020070351 & 4.55708333333333 & 0.992261907441568 & 1.00180896164231 \tabularnewline
26 & 4.53 & 4.51318983345006 & 4.56583333333333 & 0.988470122310653 & 1.00372467526745 \tabularnewline
27 & 4.53 & 4.55967079385513 & 4.57416666666667 & 0.996830925965778 & 0.993492777177002 \tabularnewline
28 & 4.61 & 4.608701320658 & 4.5825 & 1.00571769136017 & 1.00028178856724 \tabularnewline
29 & 4.63 & 4.64379600203586 & 4.59083333333333 & 1.01153661325885 & 0.997029154159698 \tabularnewline
30 & 4.63 & 4.64288076697621 & 4.59916666666667 & 1.00950478716642 & 0.997225695075387 \tabularnewline
31 & 4.63 & 4.62732168742913 & 4.6075 & 1.00430204827545 & 1.00057880405811 \tabularnewline
32 & 4.63 & 4.62320591710069 & 4.61583333333333 & 1.00159723786258 & 1.00146956095427 \tabularnewline
33 & 4.63 & 4.62995085093229 & 4.62541666666667 & 1.0009802758524 & 1.00001061546208 \tabularnewline
34 & 4.63 & 4.62441602221756 & 4.63458333333333 & 0.997806208156266 & 1.00120749901298 \tabularnewline
35 & 4.63 & 4.61843208301842 & 4.64208333333333 & 0.994905035386788 & 1.0025047281791 \tabularnewline
36 & 4.63 & 4.63180523337828 & 4.65 & 0.99608714696307 & 0.99961025274438 \tabularnewline
37 & 4.63 & 4.62228671883197 & 4.65833333333333 & 0.992261907441568 & 1.00166871542966 \tabularnewline
38 & 4.63 & 4.61327243333401 & 4.66708333333333 & 0.988470122310653 & 1.0036259654958 \tabularnewline
39 & 4.66 & 4.66143061754747 & 4.67625 & 0.996830925965778 & 0.999693094746045 \tabularnewline
40 & 4.7 & 4.71220643306048 & 4.68541666666667 & 1.00571769136017 & 0.99740961410883 \tabularnewline
41 & 4.72 & 4.74958587283918 & 4.69541666666667 & 1.01153661325885 & 0.993770852105576 \tabularnewline
42 & 4.73 & 4.75602942853778 & 4.71125 & 1.00950478716642 & 0.994527067393318 \tabularnewline
43 & 4.73 & 4.75244098427678 & 4.73208333333333 & 1.00430204827545 & 0.99527800884829 \tabularnewline
44 & 4.74 & 4.76050820512436 & 4.75291666666667 & 1.00159723786258 & 0.995692013490853 \tabularnewline
45 & 4.74 & 4.77717836650558 & 4.7725 & 1.0009802758524 & 0.992217505051465 \tabularnewline
46 & 4.74 & 4.77907598448178 & 4.78958333333333 & 0.997806208156266 & 0.9918235272658 \tabularnewline
47 & 4.76 & 4.78342050138673 & 4.80791666666667 & 0.994905035386788 & 0.99510381715763 \tabularnewline
48 & 4.88 & 4.80944077458669 & 4.82833333333333 & 0.99608714696307 & 1.01467098332641 \tabularnewline
49 & 4.88 & 4.81081648124587 & 4.84833333333333 & 0.992261907441568 & 1.01438082683549 \tabularnewline
50 & 4.88 & 4.81179018289806 & 4.86791666666667 & 0.988470122310653 & 1.01417555930522 \tabularnewline
51 & 4.88 & 4.87159580443859 & 4.88708333333333 & 0.996830925965778 & 1.00172514221187 \tabularnewline
52 & 4.89 & 4.93430242323585 & 4.90625 & 1.00571769136017 & 0.991021542776294 \tabularnewline
53 & 4.97 & 4.981396346711 & 4.92458333333333 & 1.01153661325885 & 0.997712218438807 \tabularnewline
54 & 4.97 & 4.98400925963953 & 4.93708333333333 & 1.00950478716642 & 0.997189158585042 \tabularnewline
55 & 4.97 & 4.96585516953531 & 4.94458333333333 & 1.00430204827545 & 1.00083466599874 \tabularnewline
56 & 4.97 & 4.95999298833199 & 4.95208333333333 & 1.00159723786258 & 1.00201754552709 \tabularnewline
57 & 4.97 & 4.96444509311296 & 4.95958333333333 & 1.0009802758524 & 1.00111893812558 \tabularnewline
58 & 4.97 & 4.95618658642952 & 4.96708333333333 & 0.997806208156266 & 1.00278710523294 \tabularnewline
59 & 4.97 & 4.94675074469606 & 4.97208333333333 & 0.994905035386788 & 1.00469990434203 \tabularnewline
60 & 4.97 & 4.95636362876374 & 4.97583333333333 & 0.99608714696307 & 1.00275128547008 \tabularnewline
61 & 4.97 & 4.94270462644331 & 4.98125 & 0.992261907441568 & 1.00552235579902 \tabularnewline
62 & 4.97 & 4.92958287247342 & 4.98708333333333 & 0.988470122310653 & 1.00819889401845 \tabularnewline
63 & 4.97 & 4.97750909032245 & 4.99333333333333 & 0.996830925965778 & 0.998491395960069 \tabularnewline
64 & 4.98 & 5.02858845680087 & 5 & 1.00571769136017 & 0.990337555515176 \tabularnewline
65 & 5 & 5.06484811730486 & 5.00708333333333 & 1.01153661325885 & 0.987196433969403 \tabularnewline
66 & 5.03 & 5.06224588064493 & 5.01458333333333 & 1.00950478716642 & 0.993630123584431 \tabularnewline
67 & 5.04 & NA & NA & 1.00430204827545 & NA \tabularnewline
68 & 5.04 & NA & NA & 1.00159723786258 & NA \tabularnewline
69 & 5.05 & NA & NA & 1.0009802758524 & NA \tabularnewline
70 & 5.05 & NA & NA & 0.997806208156266 & NA \tabularnewline
71 & 5.06 & NA & NA & 0.994905035386788 & NA \tabularnewline
72 & 5.06 & NA & NA & 0.99608714696307 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166203&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]4[/C][C]NA[/C][C]NA[/C][C]0.992261907441568[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4[/C][C]NA[/C][C]NA[/C][C]0.988470122310653[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4[/C][C]NA[/C][C]NA[/C][C]0.996830925965778[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4[/C][C]NA[/C][C]NA[/C][C]1.00571769136017[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4[/C][C]NA[/C][C]NA[/C][C]1.01153661325885[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4[/C][C]NA[/C][C]NA[/C][C]1.00950478716642[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4[/C][C]4.04273420349546[/C][C]4.02541666666667[/C][C]1.00430204827545[/C][C]0.989429380873342[/C][/ROW]
[ROW][C]8[/C][C]4[/C][C]4.03768886513353[/C][C]4.03125[/C][C]1.00159723786258[/C][C]0.99066573319728[/C][/ROW]
[ROW][C]9[/C][C]4.06[/C][C]4.05063351628271[/C][C]4.04666666666667[/C][C]1.0009802758524[/C][C]1.0023123503224[/C][/ROW]
[ROW][C]10[/C][C]4.07[/C][C]4.06855481375718[/C][C]4.0775[/C][C]0.997806208156266[/C][C]1.00035520874339[/C][/ROW]
[ROW][C]11[/C][C]4.07[/C][C]4.0965214832051[/C][C]4.1175[/C][C]0.994905035386788[/C][C]0.99352585277196[/C][/ROW]
[ROW][C]12[/C][C]4.07[/C][C]4.14455260398884[/C][C]4.16083333333333[/C][C]0.99608714696307[/C][C]0.98201190547875[/C][/ROW]
[ROW][C]13[/C][C]4.07[/C][C]4.17163443586893[/C][C]4.20416666666667[/C][C]0.992261907441568[/C][C]0.975636782793083[/C][/ROW]
[ROW][C]14[/C][C]4.07[/C][C]4.19893870706546[/C][C]4.24791666666667[/C][C]0.988470122310653[/C][C]0.96929254841265[/C][/ROW]
[ROW][C]15[/C][C]4.3[/C][C]4.27598932617404[/C][C]4.28958333333333[/C][C]0.996830925965778[/C][C]1.00561523240458[/C][/ROW]
[ROW][C]16[/C][C]4.44[/C][C]4.35308140743729[/C][C]4.32833333333333[/C][C]1.00571769136017[/C][C]1.01996714153202[/C][/ROW]
[ROW][C]17[/C][C]4.52[/C][C]4.41704321123033[/C][C]4.36666666666667[/C][C]1.01153661325885[/C][C]1.02330898382608[/C][/ROW]
[ROW][C]18[/C][C]4.52[/C][C]4.44686858746807[/C][C]4.405[/C][C]1.00950478716642[/C][C]1.01644559786139[/C][/ROW]
[ROW][C]19[/C][C]4.52[/C][C]4.46244876783724[/C][C]4.44333333333333[/C][C]1.00430204827545[/C][C]1.01289678272108[/C][/ROW]
[ROW][C]20[/C][C]4.53[/C][C]4.48882495435413[/C][C]4.48166666666667[/C][C]1.00159723786258[/C][C]1.00917278933007[/C][/ROW]
[ROW][C]21[/C][C]4.53[/C][C]4.51483811920926[/C][C]4.51041666666667[/C][C]1.0009802758524[/C][C]1.00335823353804[/C][/ROW]
[ROW][C]22[/C][C]4.53[/C][C]4.51715185484076[/C][C]4.52708333333333[/C][C]0.997806208156266[/C][C]1.00284430224445[/C][/ROW]
[ROW][C]23[/C][C]4.53[/C][C]4.51562522936178[/C][C]4.53875[/C][C]0.994905035386788[/C][C]1.00318334004885[/C][/ROW]
[ROW][C]24[/C][C]4.53[/C][C]4.5301213371258[/C][C]4.54791666666667[/C][C]0.99608714696307[/C][C]0.999973215479947[/C][/ROW]
[ROW][C]25[/C][C]4.53[/C][C]4.52182020070351[/C][C]4.55708333333333[/C][C]0.992261907441568[/C][C]1.00180896164231[/C][/ROW]
[ROW][C]26[/C][C]4.53[/C][C]4.51318983345006[/C][C]4.56583333333333[/C][C]0.988470122310653[/C][C]1.00372467526745[/C][/ROW]
[ROW][C]27[/C][C]4.53[/C][C]4.55967079385513[/C][C]4.57416666666667[/C][C]0.996830925965778[/C][C]0.993492777177002[/C][/ROW]
[ROW][C]28[/C][C]4.61[/C][C]4.608701320658[/C][C]4.5825[/C][C]1.00571769136017[/C][C]1.00028178856724[/C][/ROW]
[ROW][C]29[/C][C]4.63[/C][C]4.64379600203586[/C][C]4.59083333333333[/C][C]1.01153661325885[/C][C]0.997029154159698[/C][/ROW]
[ROW][C]30[/C][C]4.63[/C][C]4.64288076697621[/C][C]4.59916666666667[/C][C]1.00950478716642[/C][C]0.997225695075387[/C][/ROW]
[ROW][C]31[/C][C]4.63[/C][C]4.62732168742913[/C][C]4.6075[/C][C]1.00430204827545[/C][C]1.00057880405811[/C][/ROW]
[ROW][C]32[/C][C]4.63[/C][C]4.62320591710069[/C][C]4.61583333333333[/C][C]1.00159723786258[/C][C]1.00146956095427[/C][/ROW]
[ROW][C]33[/C][C]4.63[/C][C]4.62995085093229[/C][C]4.62541666666667[/C][C]1.0009802758524[/C][C]1.00001061546208[/C][/ROW]
[ROW][C]34[/C][C]4.63[/C][C]4.62441602221756[/C][C]4.63458333333333[/C][C]0.997806208156266[/C][C]1.00120749901298[/C][/ROW]
[ROW][C]35[/C][C]4.63[/C][C]4.61843208301842[/C][C]4.64208333333333[/C][C]0.994905035386788[/C][C]1.0025047281791[/C][/ROW]
[ROW][C]36[/C][C]4.63[/C][C]4.63180523337828[/C][C]4.65[/C][C]0.99608714696307[/C][C]0.99961025274438[/C][/ROW]
[ROW][C]37[/C][C]4.63[/C][C]4.62228671883197[/C][C]4.65833333333333[/C][C]0.992261907441568[/C][C]1.00166871542966[/C][/ROW]
[ROW][C]38[/C][C]4.63[/C][C]4.61327243333401[/C][C]4.66708333333333[/C][C]0.988470122310653[/C][C]1.0036259654958[/C][/ROW]
[ROW][C]39[/C][C]4.66[/C][C]4.66143061754747[/C][C]4.67625[/C][C]0.996830925965778[/C][C]0.999693094746045[/C][/ROW]
[ROW][C]40[/C][C]4.7[/C][C]4.71220643306048[/C][C]4.68541666666667[/C][C]1.00571769136017[/C][C]0.99740961410883[/C][/ROW]
[ROW][C]41[/C][C]4.72[/C][C]4.74958587283918[/C][C]4.69541666666667[/C][C]1.01153661325885[/C][C]0.993770852105576[/C][/ROW]
[ROW][C]42[/C][C]4.73[/C][C]4.75602942853778[/C][C]4.71125[/C][C]1.00950478716642[/C][C]0.994527067393318[/C][/ROW]
[ROW][C]43[/C][C]4.73[/C][C]4.75244098427678[/C][C]4.73208333333333[/C][C]1.00430204827545[/C][C]0.99527800884829[/C][/ROW]
[ROW][C]44[/C][C]4.74[/C][C]4.76050820512436[/C][C]4.75291666666667[/C][C]1.00159723786258[/C][C]0.995692013490853[/C][/ROW]
[ROW][C]45[/C][C]4.74[/C][C]4.77717836650558[/C][C]4.7725[/C][C]1.0009802758524[/C][C]0.992217505051465[/C][/ROW]
[ROW][C]46[/C][C]4.74[/C][C]4.77907598448178[/C][C]4.78958333333333[/C][C]0.997806208156266[/C][C]0.9918235272658[/C][/ROW]
[ROW][C]47[/C][C]4.76[/C][C]4.78342050138673[/C][C]4.80791666666667[/C][C]0.994905035386788[/C][C]0.99510381715763[/C][/ROW]
[ROW][C]48[/C][C]4.88[/C][C]4.80944077458669[/C][C]4.82833333333333[/C][C]0.99608714696307[/C][C]1.01467098332641[/C][/ROW]
[ROW][C]49[/C][C]4.88[/C][C]4.81081648124587[/C][C]4.84833333333333[/C][C]0.992261907441568[/C][C]1.01438082683549[/C][/ROW]
[ROW][C]50[/C][C]4.88[/C][C]4.81179018289806[/C][C]4.86791666666667[/C][C]0.988470122310653[/C][C]1.01417555930522[/C][/ROW]
[ROW][C]51[/C][C]4.88[/C][C]4.87159580443859[/C][C]4.88708333333333[/C][C]0.996830925965778[/C][C]1.00172514221187[/C][/ROW]
[ROW][C]52[/C][C]4.89[/C][C]4.93430242323585[/C][C]4.90625[/C][C]1.00571769136017[/C][C]0.991021542776294[/C][/ROW]
[ROW][C]53[/C][C]4.97[/C][C]4.981396346711[/C][C]4.92458333333333[/C][C]1.01153661325885[/C][C]0.997712218438807[/C][/ROW]
[ROW][C]54[/C][C]4.97[/C][C]4.98400925963953[/C][C]4.93708333333333[/C][C]1.00950478716642[/C][C]0.997189158585042[/C][/ROW]
[ROW][C]55[/C][C]4.97[/C][C]4.96585516953531[/C][C]4.94458333333333[/C][C]1.00430204827545[/C][C]1.00083466599874[/C][/ROW]
[ROW][C]56[/C][C]4.97[/C][C]4.95999298833199[/C][C]4.95208333333333[/C][C]1.00159723786258[/C][C]1.00201754552709[/C][/ROW]
[ROW][C]57[/C][C]4.97[/C][C]4.96444509311296[/C][C]4.95958333333333[/C][C]1.0009802758524[/C][C]1.00111893812558[/C][/ROW]
[ROW][C]58[/C][C]4.97[/C][C]4.95618658642952[/C][C]4.96708333333333[/C][C]0.997806208156266[/C][C]1.00278710523294[/C][/ROW]
[ROW][C]59[/C][C]4.97[/C][C]4.94675074469606[/C][C]4.97208333333333[/C][C]0.994905035386788[/C][C]1.00469990434203[/C][/ROW]
[ROW][C]60[/C][C]4.97[/C][C]4.95636362876374[/C][C]4.97583333333333[/C][C]0.99608714696307[/C][C]1.00275128547008[/C][/ROW]
[ROW][C]61[/C][C]4.97[/C][C]4.94270462644331[/C][C]4.98125[/C][C]0.992261907441568[/C][C]1.00552235579902[/C][/ROW]
[ROW][C]62[/C][C]4.97[/C][C]4.92958287247342[/C][C]4.98708333333333[/C][C]0.988470122310653[/C][C]1.00819889401845[/C][/ROW]
[ROW][C]63[/C][C]4.97[/C][C]4.97750909032245[/C][C]4.99333333333333[/C][C]0.996830925965778[/C][C]0.998491395960069[/C][/ROW]
[ROW][C]64[/C][C]4.98[/C][C]5.02858845680087[/C][C]5[/C][C]1.00571769136017[/C][C]0.990337555515176[/C][/ROW]
[ROW][C]65[/C][C]5[/C][C]5.06484811730486[/C][C]5.00708333333333[/C][C]1.01153661325885[/C][C]0.987196433969403[/C][/ROW]
[ROW][C]66[/C][C]5.03[/C][C]5.06224588064493[/C][C]5.01458333333333[/C][C]1.00950478716642[/C][C]0.993630123584431[/C][/ROW]
[ROW][C]67[/C][C]5.04[/C][C]NA[/C][C]NA[/C][C]1.00430204827545[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]5.04[/C][C]NA[/C][C]NA[/C][C]1.00159723786258[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]5.05[/C][C]NA[/C][C]NA[/C][C]1.0009802758524[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]5.05[/C][C]NA[/C][C]NA[/C][C]0.997806208156266[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]5.06[/C][C]NA[/C][C]NA[/C][C]0.994905035386788[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]5.06[/C][C]NA[/C][C]NA[/C][C]0.99608714696307[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166203&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166203&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	4	NA	NA	0.992261907441568	NA
2	4	NA	NA	0.988470122310653	NA
3	4	NA	NA	0.996830925965778	NA
4	4	NA	NA	1.00571769136017	NA
5	4	NA	NA	1.01153661325885	NA
6	4	NA	NA	1.00950478716642	NA
7	4	4.04273420349546	4.02541666666667	1.00430204827545	0.989429380873342
8	4	4.03768886513353	4.03125	1.00159723786258	0.99066573319728
9	4.06	4.05063351628271	4.04666666666667	1.0009802758524	1.0023123503224
10	4.07	4.06855481375718	4.0775	0.997806208156266	1.00035520874339
11	4.07	4.0965214832051	4.1175	0.994905035386788	0.99352585277196
12	4.07	4.14455260398884	4.16083333333333	0.99608714696307	0.98201190547875
13	4.07	4.17163443586893	4.20416666666667	0.992261907441568	0.975636782793083
14	4.07	4.19893870706546	4.24791666666667	0.988470122310653	0.96929254841265
15	4.3	4.27598932617404	4.28958333333333	0.996830925965778	1.00561523240458
16	4.44	4.35308140743729	4.32833333333333	1.00571769136017	1.01996714153202
17	4.52	4.41704321123033	4.36666666666667	1.01153661325885	1.02330898382608
18	4.52	4.44686858746807	4.405	1.00950478716642	1.01644559786139
19	4.52	4.46244876783724	4.44333333333333	1.00430204827545	1.01289678272108
20	4.53	4.48882495435413	4.48166666666667	1.00159723786258	1.00917278933007
21	4.53	4.51483811920926	4.51041666666667	1.0009802758524	1.00335823353804
22	4.53	4.51715185484076	4.52708333333333	0.997806208156266	1.00284430224445
23	4.53	4.51562522936178	4.53875	0.994905035386788	1.00318334004885
24	4.53	4.5301213371258	4.54791666666667	0.99608714696307	0.999973215479947
25	4.53	4.52182020070351	4.55708333333333	0.992261907441568	1.00180896164231
26	4.53	4.51318983345006	4.56583333333333	0.988470122310653	1.00372467526745
27	4.53	4.55967079385513	4.57416666666667	0.996830925965778	0.993492777177002
28	4.61	4.608701320658	4.5825	1.00571769136017	1.00028178856724
29	4.63	4.64379600203586	4.59083333333333	1.01153661325885	0.997029154159698
30	4.63	4.64288076697621	4.59916666666667	1.00950478716642	0.997225695075387
31	4.63	4.62732168742913	4.6075	1.00430204827545	1.00057880405811
32	4.63	4.62320591710069	4.61583333333333	1.00159723786258	1.00146956095427
33	4.63	4.62995085093229	4.62541666666667	1.0009802758524	1.00001061546208
34	4.63	4.62441602221756	4.63458333333333	0.997806208156266	1.00120749901298
35	4.63	4.61843208301842	4.64208333333333	0.994905035386788	1.0025047281791
36	4.63	4.63180523337828	4.65	0.99608714696307	0.99961025274438
37	4.63	4.62228671883197	4.65833333333333	0.992261907441568	1.00166871542966
38	4.63	4.61327243333401	4.66708333333333	0.988470122310653	1.0036259654958
39	4.66	4.66143061754747	4.67625	0.996830925965778	0.999693094746045
40	4.7	4.71220643306048	4.68541666666667	1.00571769136017	0.99740961410883
41	4.72	4.74958587283918	4.69541666666667	1.01153661325885	0.993770852105576
42	4.73	4.75602942853778	4.71125	1.00950478716642	0.994527067393318
43	4.73	4.75244098427678	4.73208333333333	1.00430204827545	0.99527800884829
44	4.74	4.76050820512436	4.75291666666667	1.00159723786258	0.995692013490853
45	4.74	4.77717836650558	4.7725	1.0009802758524	0.992217505051465
46	4.74	4.77907598448178	4.78958333333333	0.997806208156266	0.9918235272658
47	4.76	4.78342050138673	4.80791666666667	0.994905035386788	0.99510381715763
48	4.88	4.80944077458669	4.82833333333333	0.99608714696307	1.01467098332641
49	4.88	4.81081648124587	4.84833333333333	0.992261907441568	1.01438082683549
50	4.88	4.81179018289806	4.86791666666667	0.988470122310653	1.01417555930522
51	4.88	4.87159580443859	4.88708333333333	0.996830925965778	1.00172514221187
52	4.89	4.93430242323585	4.90625	1.00571769136017	0.991021542776294
53	4.97	4.981396346711	4.92458333333333	1.01153661325885	0.997712218438807
54	4.97	4.98400925963953	4.93708333333333	1.00950478716642	0.997189158585042
55	4.97	4.96585516953531	4.94458333333333	1.00430204827545	1.00083466599874
56	4.97	4.95999298833199	4.95208333333333	1.00159723786258	1.00201754552709
57	4.97	4.96444509311296	4.95958333333333	1.0009802758524	1.00111893812558
58	4.97	4.95618658642952	4.96708333333333	0.997806208156266	1.00278710523294
59	4.97	4.94675074469606	4.97208333333333	0.994905035386788	1.00469990434203
60	4.97	4.95636362876374	4.97583333333333	0.99608714696307	1.00275128547008
61	4.97	4.94270462644331	4.98125	0.992261907441568	1.00552235579902
62	4.97	4.92958287247342	4.98708333333333	0.988470122310653	1.00819889401845
63	4.97	4.97750909032245	4.99333333333333	0.996830925965778	0.998491395960069
64	4.98	5.02858845680087	5	1.00571769136017	0.990337555515176
65	5	5.06484811730486	5.00708333333333	1.01153661325885	0.987196433969403
66	5.03	5.06224588064493	5.01458333333333	1.00950478716642	0.993630123584431
67	5.04	NA	NA	1.00430204827545	NA
68	5.04	NA	NA	1.00159723786258	NA
69	5.05	NA	NA	1.0009802758524	NA
70	5.05	NA	NA	0.997806208156266	NA
71	5.06	NA	NA	0.994905035386788	NA
72	5.06	NA	NA	0.99608714696307	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