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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Fri, 25 May 2012 16:42:11 -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/25/t133797866421al1jwnttdfsas.htm/, Retrieved Sat, 04 May 2024 00:01:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167538, Retrieved Sat, 04 May 2024 00:01:23 +0000

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-       [Classical Decomposition] [] [2012-05-25 20:42:11] [11011eb66bd10d46e8c3e1885748d37e] [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	'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167538&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167538&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167538&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	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	97.81	NA	NA	1.0010335557385	NA
2	97.81	NA	NA	1.00012423810204	NA
3	97.34	NA	NA	1.00076324458593	NA
4	97.02	NA	NA	1.00168639993256	NA
5	96.96	NA	NA	0.999667788879871	NA
6	96.89	NA	NA	0.999051830037025	NA
7	96.89	96.73547587454	96.8825	0.998482449095967	1.00159738838377
8	96.87	96.6261774328933	96.7608333333333	0.998608363572313	1.00252335933786
9	96.63	96.442988037596	96.6541666666667	0.997815110963618	1.00193909340854
10	96.35	96.5712820587925	96.5791666666667	0.999918361193762	0.997708614258038
11	96.34	96.6791578233686	96.5375	1.00146738649093	0.996491924102315
12	96.39	96.6503996208752	96.5170833333333	1.00138127140748	0.997305757431975
13	96.39	96.5976526421908	96.4979166666667	1.0010335557385	0.997850334490426
14	96.31	96.4915697736519	96.4795833333333	1.00012423810204	0.998118283554948
15	96.28	96.5482170367422	96.4745833333333	1.00076324458593	0.997221936924634
16	96.28	96.6631549628257	96.5004166666667	1.00168639993256	0.996036183973376
17	96.7	96.5083448667081	96.5404166666667	0.999667788879871	1.00198589182683
18	96.66	96.4813491278465	96.5729166666667	0.999051830037025	1.0018516622515
19	96.66	96.4554847544393	96.6020833333333	0.998482449095967	1.0021203070627
20	96.66	96.4951100851744	96.6295833333333	0.998608363572313	1.00170879036958
21	96.72	96.4629443398153	96.6741666666667	0.997815110963618	1.00266481250333
22	96.88	96.725019506826	96.7329166666667	0.999918361193762	1.00160227926512
23	96.77	96.8827895252884	96.7408333333333	1.00146738649093	0.998835814639101
24	96.74	96.8364896404784	96.7029166666667	1.00138127140748	0.999003581802308
25	96.74	96.765325762777	96.6654166666667	1.0010335557385	0.999738276468587
26	96.62	96.6386713803394	96.6266666666667	1.00012423810204	0.999806791835269
27	97.04	96.6587179783319	96.585	1.00076324458593	1.00394462113344
28	96.93	96.7107350668225	96.5479166666667	1.00168639993256	1.00226722434718
29	96.24	96.4970986040832	96.5291666666667	0.999667788879871	0.997335685654778
30	96.21	96.4355592523031	96.5270833333333	0.999051830037025	0.99766103650923
31	96.21	96.3830947768799	96.5295833333333	0.998482449095967	0.998204096088836
32	96.18	96.3981618565443	96.5325	0.998608363572313	0.997736867048679
33	96.2	96.3111932916896	96.5220833333333	0.997815110963618	0.998845479036348
34	96.51	96.5042042020624	96.5120833333333	0.999918361193762	1.00006005746574
35	96.69	96.6595457537165	96.5179166666667	1.00146738649093	1.00031506713637
36	96.77	96.6616651601785	96.5283333333333	1.00138127140748	1.00112076322751
37	96.77	96.6414478602544	96.5416666666667	1.0010335557385	1.00133019674883
38	96.66	96.5682459652398	96.55625	1.00012423810204	1.00095014705759
39	96.75	96.6478763765155	96.5741666666667	1.00076324458593	1.00105665667279
40	96.98	96.7528893694864	96.59	1.00168639993256	1.00234732659659
41	96.33	96.5895678745545	96.6216666666666	0.999667788879871	0.997312671748447
42	96.37	96.5825031256377	96.6741666666667	0.999051830037025	0.997799776162756
43	96.37	96.5807110949301	96.7275	0.998482449095967	0.997818290085657
44	96.37	96.6536391628915	96.7883333333333	0.998608363572313	0.997065406275976
45	96.44	96.6334044212716	96.845	0.997815110963618	0.997998575933138
46	96.65	96.8666746079952	96.8745833333333	0.999918361193762	0.997763166652804
47	97.31	97.061384542546	96.9191666666667	1.00146738649093	1.00256142500569
48	97.41	97.1231350294188	96.9891666666667	1.00138127140748	1.00295362140539
49	97.41	97.1544775575703	97.0541666666667	1.0010335557385	1.0026300634706
50	97.48	97.1358164703627	97.12375	1.00012423810204	1.00354332255747
51	97.29	97.2579249710277	97.18375	1.00076324458593	1.00032979347423
52	97.15	97.4148371321084	97.2508333333333	1.00168639993256	0.997281347072938
53	97.23	97.2868361572982	97.3191666666666	0.999667788879871	0.999415787792643
54	97.15	97.2676861724048	97.36	0.999051830037025	0.998790079449447
55	97.15	97.2455339922865	97.3933333333333	0.998482449095967	0.999017600208827
56	97.26	97.2869233001236	97.4225	0.998608363572313	0.999723258797685
57	96.99	97.2516340337728	97.4645833333333	0.997815110963618	0.997309720948422
58	97.71	97.5516186854129	97.5595833333333	0.999918361193762	1.00162356418808
59	97.89	97.8358526547656	97.6925	1.00146738649093	1.00055345094631
60	97.81	97.9693022037581	97.8341666666667	1.00138127140748	0.9983739579626
61	97.81	98.0837703751476	97.9825	1.0010335557385	0.997208810651339
62	97.78	98.139274455925	98.1270833333333	1.00012423810204	0.99633913682451
63	98	98.3733590040558	98.2983333333333	1.00076324458593	0.996204673624692
64	98.72	98.6385640173594	98.4725	1.00168639993256	1.0008255998397
65	98.85	98.5830720568792	98.6158333333333	0.999667788879871	1.00270764480708
66	98.93	98.66802382084	98.7616666666667	0.999051830037025	1.00265512745685
67	98.93	NA	NA	0.998482449095967	NA
68	98.95	NA	NA	0.998608363572313	NA
69	99.41	NA	NA	0.997815110963618	NA
70	99.47	NA	NA	0.999918361193762	NA
71	99.57	NA	NA	1.00146738649093	NA
72	99.63	NA	NA	1.00138127140748	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 97.81 & NA & NA & 1.0010335557385 & NA \tabularnewline
2 & 97.81 & NA & NA & 1.00012423810204 & NA \tabularnewline
3 & 97.34 & NA & NA & 1.00076324458593 & NA \tabularnewline
4 & 97.02 & NA & NA & 1.00168639993256 & NA \tabularnewline
5 & 96.96 & NA & NA & 0.999667788879871 & NA \tabularnewline
6 & 96.89 & NA & NA & 0.999051830037025 & NA \tabularnewline
7 & 96.89 & 96.73547587454 & 96.8825 & 0.998482449095967 & 1.00159738838377 \tabularnewline
8 & 96.87 & 96.6261774328933 & 96.7608333333333 & 0.998608363572313 & 1.00252335933786 \tabularnewline
9 & 96.63 & 96.442988037596 & 96.6541666666667 & 0.997815110963618 & 1.00193909340854 \tabularnewline
10 & 96.35 & 96.5712820587925 & 96.5791666666667 & 0.999918361193762 & 0.997708614258038 \tabularnewline
11 & 96.34 & 96.6791578233686 & 96.5375 & 1.00146738649093 & 0.996491924102315 \tabularnewline
12 & 96.39 & 96.6503996208752 & 96.5170833333333 & 1.00138127140748 & 0.997305757431975 \tabularnewline
13 & 96.39 & 96.5976526421908 & 96.4979166666667 & 1.0010335557385 & 0.997850334490426 \tabularnewline
14 & 96.31 & 96.4915697736519 & 96.4795833333333 & 1.00012423810204 & 0.998118283554948 \tabularnewline
15 & 96.28 & 96.5482170367422 & 96.4745833333333 & 1.00076324458593 & 0.997221936924634 \tabularnewline
16 & 96.28 & 96.6631549628257 & 96.5004166666667 & 1.00168639993256 & 0.996036183973376 \tabularnewline
17 & 96.7 & 96.5083448667081 & 96.5404166666667 & 0.999667788879871 & 1.00198589182683 \tabularnewline
18 & 96.66 & 96.4813491278465 & 96.5729166666667 & 0.999051830037025 & 1.0018516622515 \tabularnewline
19 & 96.66 & 96.4554847544393 & 96.6020833333333 & 0.998482449095967 & 1.0021203070627 \tabularnewline
20 & 96.66 & 96.4951100851744 & 96.6295833333333 & 0.998608363572313 & 1.00170879036958 \tabularnewline
21 & 96.72 & 96.4629443398153 & 96.6741666666667 & 0.997815110963618 & 1.00266481250333 \tabularnewline
22 & 96.88 & 96.725019506826 & 96.7329166666667 & 0.999918361193762 & 1.00160227926512 \tabularnewline
23 & 96.77 & 96.8827895252884 & 96.7408333333333 & 1.00146738649093 & 0.998835814639101 \tabularnewline
24 & 96.74 & 96.8364896404784 & 96.7029166666667 & 1.00138127140748 & 0.999003581802308 \tabularnewline
25 & 96.74 & 96.765325762777 & 96.6654166666667 & 1.0010335557385 & 0.999738276468587 \tabularnewline
26 & 96.62 & 96.6386713803394 & 96.6266666666667 & 1.00012423810204 & 0.999806791835269 \tabularnewline
27 & 97.04 & 96.6587179783319 & 96.585 & 1.00076324458593 & 1.00394462113344 \tabularnewline
28 & 96.93 & 96.7107350668225 & 96.5479166666667 & 1.00168639993256 & 1.00226722434718 \tabularnewline
29 & 96.24 & 96.4970986040832 & 96.5291666666667 & 0.999667788879871 & 0.997335685654778 \tabularnewline
30 & 96.21 & 96.4355592523031 & 96.5270833333333 & 0.999051830037025 & 0.99766103650923 \tabularnewline
31 & 96.21 & 96.3830947768799 & 96.5295833333333 & 0.998482449095967 & 0.998204096088836 \tabularnewline
32 & 96.18 & 96.3981618565443 & 96.5325 & 0.998608363572313 & 0.997736867048679 \tabularnewline
33 & 96.2 & 96.3111932916896 & 96.5220833333333 & 0.997815110963618 & 0.998845479036348 \tabularnewline
34 & 96.51 & 96.5042042020624 & 96.5120833333333 & 0.999918361193762 & 1.00006005746574 \tabularnewline
35 & 96.69 & 96.6595457537165 & 96.5179166666667 & 1.00146738649093 & 1.00031506713637 \tabularnewline
36 & 96.77 & 96.6616651601785 & 96.5283333333333 & 1.00138127140748 & 1.00112076322751 \tabularnewline
37 & 96.77 & 96.6414478602544 & 96.5416666666667 & 1.0010335557385 & 1.00133019674883 \tabularnewline
38 & 96.66 & 96.5682459652398 & 96.55625 & 1.00012423810204 & 1.00095014705759 \tabularnewline
39 & 96.75 & 96.6478763765155 & 96.5741666666667 & 1.00076324458593 & 1.00105665667279 \tabularnewline
40 & 96.98 & 96.7528893694864 & 96.59 & 1.00168639993256 & 1.00234732659659 \tabularnewline
41 & 96.33 & 96.5895678745545 & 96.6216666666666 & 0.999667788879871 & 0.997312671748447 \tabularnewline
42 & 96.37 & 96.5825031256377 & 96.6741666666667 & 0.999051830037025 & 0.997799776162756 \tabularnewline
43 & 96.37 & 96.5807110949301 & 96.7275 & 0.998482449095967 & 0.997818290085657 \tabularnewline
44 & 96.37 & 96.6536391628915 & 96.7883333333333 & 0.998608363572313 & 0.997065406275976 \tabularnewline
45 & 96.44 & 96.6334044212716 & 96.845 & 0.997815110963618 & 0.997998575933138 \tabularnewline
46 & 96.65 & 96.8666746079952 & 96.8745833333333 & 0.999918361193762 & 0.997763166652804 \tabularnewline
47 & 97.31 & 97.061384542546 & 96.9191666666667 & 1.00146738649093 & 1.00256142500569 \tabularnewline
48 & 97.41 & 97.1231350294188 & 96.9891666666667 & 1.00138127140748 & 1.00295362140539 \tabularnewline
49 & 97.41 & 97.1544775575703 & 97.0541666666667 & 1.0010335557385 & 1.0026300634706 \tabularnewline
50 & 97.48 & 97.1358164703627 & 97.12375 & 1.00012423810204 & 1.00354332255747 \tabularnewline
51 & 97.29 & 97.2579249710277 & 97.18375 & 1.00076324458593 & 1.00032979347423 \tabularnewline
52 & 97.15 & 97.4148371321084 & 97.2508333333333 & 1.00168639993256 & 0.997281347072938 \tabularnewline
53 & 97.23 & 97.2868361572982 & 97.3191666666666 & 0.999667788879871 & 0.999415787792643 \tabularnewline
54 & 97.15 & 97.2676861724048 & 97.36 & 0.999051830037025 & 0.998790079449447 \tabularnewline
55 & 97.15 & 97.2455339922865 & 97.3933333333333 & 0.998482449095967 & 0.999017600208827 \tabularnewline
56 & 97.26 & 97.2869233001236 & 97.4225 & 0.998608363572313 & 0.999723258797685 \tabularnewline
57 & 96.99 & 97.2516340337728 & 97.4645833333333 & 0.997815110963618 & 0.997309720948422 \tabularnewline
58 & 97.71 & 97.5516186854129 & 97.5595833333333 & 0.999918361193762 & 1.00162356418808 \tabularnewline
59 & 97.89 & 97.8358526547656 & 97.6925 & 1.00146738649093 & 1.00055345094631 \tabularnewline
60 & 97.81 & 97.9693022037581 & 97.8341666666667 & 1.00138127140748 & 0.9983739579626 \tabularnewline
61 & 97.81 & 98.0837703751476 & 97.9825 & 1.0010335557385 & 0.997208810651339 \tabularnewline
62 & 97.78 & 98.139274455925 & 98.1270833333333 & 1.00012423810204 & 0.99633913682451 \tabularnewline
63 & 98 & 98.3733590040558 & 98.2983333333333 & 1.00076324458593 & 0.996204673624692 \tabularnewline
64 & 98.72 & 98.6385640173594 & 98.4725 & 1.00168639993256 & 1.0008255998397 \tabularnewline
65 & 98.85 & 98.5830720568792 & 98.6158333333333 & 0.999667788879871 & 1.00270764480708 \tabularnewline
66 & 98.93 & 98.66802382084 & 98.7616666666667 & 0.999051830037025 & 1.00265512745685 \tabularnewline
67 & 98.93 & NA & NA & 0.998482449095967 & NA \tabularnewline
68 & 98.95 & NA & NA & 0.998608363572313 & NA \tabularnewline
69 & 99.41 & NA & NA & 0.997815110963618 & NA \tabularnewline
70 & 99.47 & NA & NA & 0.999918361193762 & NA \tabularnewline
71 & 99.57 & NA & NA & 1.00146738649093 & NA \tabularnewline
72 & 99.63 & NA & NA & 1.00138127140748 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167538&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]97.81[/C][C]NA[/C][C]NA[/C][C]1.0010335557385[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]97.81[/C][C]NA[/C][C]NA[/C][C]1.00012423810204[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]97.34[/C][C]NA[/C][C]NA[/C][C]1.00076324458593[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]97.02[/C][C]NA[/C][C]NA[/C][C]1.00168639993256[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]96.96[/C][C]NA[/C][C]NA[/C][C]0.999667788879871[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]96.89[/C][C]NA[/C][C]NA[/C][C]0.999051830037025[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]96.89[/C][C]96.73547587454[/C][C]96.8825[/C][C]0.998482449095967[/C][C]1.00159738838377[/C][/ROW]
[ROW][C]8[/C][C]96.87[/C][C]96.6261774328933[/C][C]96.7608333333333[/C][C]0.998608363572313[/C][C]1.00252335933786[/C][/ROW]
[ROW][C]9[/C][C]96.63[/C][C]96.442988037596[/C][C]96.6541666666667[/C][C]0.997815110963618[/C][C]1.00193909340854[/C][/ROW]
[ROW][C]10[/C][C]96.35[/C][C]96.5712820587925[/C][C]96.5791666666667[/C][C]0.999918361193762[/C][C]0.997708614258038[/C][/ROW]
[ROW][C]11[/C][C]96.34[/C][C]96.6791578233686[/C][C]96.5375[/C][C]1.00146738649093[/C][C]0.996491924102315[/C][/ROW]
[ROW][C]12[/C][C]96.39[/C][C]96.6503996208752[/C][C]96.5170833333333[/C][C]1.00138127140748[/C][C]0.997305757431975[/C][/ROW]
[ROW][C]13[/C][C]96.39[/C][C]96.5976526421908[/C][C]96.4979166666667[/C][C]1.0010335557385[/C][C]0.997850334490426[/C][/ROW]
[ROW][C]14[/C][C]96.31[/C][C]96.4915697736519[/C][C]96.4795833333333[/C][C]1.00012423810204[/C][C]0.998118283554948[/C][/ROW]
[ROW][C]15[/C][C]96.28[/C][C]96.5482170367422[/C][C]96.4745833333333[/C][C]1.00076324458593[/C][C]0.997221936924634[/C][/ROW]
[ROW][C]16[/C][C]96.28[/C][C]96.6631549628257[/C][C]96.5004166666667[/C][C]1.00168639993256[/C][C]0.996036183973376[/C][/ROW]
[ROW][C]17[/C][C]96.7[/C][C]96.5083448667081[/C][C]96.5404166666667[/C][C]0.999667788879871[/C][C]1.00198589182683[/C][/ROW]
[ROW][C]18[/C][C]96.66[/C][C]96.4813491278465[/C][C]96.5729166666667[/C][C]0.999051830037025[/C][C]1.0018516622515[/C][/ROW]
[ROW][C]19[/C][C]96.66[/C][C]96.4554847544393[/C][C]96.6020833333333[/C][C]0.998482449095967[/C][C]1.0021203070627[/C][/ROW]
[ROW][C]20[/C][C]96.66[/C][C]96.4951100851744[/C][C]96.6295833333333[/C][C]0.998608363572313[/C][C]1.00170879036958[/C][/ROW]
[ROW][C]21[/C][C]96.72[/C][C]96.4629443398153[/C][C]96.6741666666667[/C][C]0.997815110963618[/C][C]1.00266481250333[/C][/ROW]
[ROW][C]22[/C][C]96.88[/C][C]96.725019506826[/C][C]96.7329166666667[/C][C]0.999918361193762[/C][C]1.00160227926512[/C][/ROW]
[ROW][C]23[/C][C]96.77[/C][C]96.8827895252884[/C][C]96.7408333333333[/C][C]1.00146738649093[/C][C]0.998835814639101[/C][/ROW]
[ROW][C]24[/C][C]96.74[/C][C]96.8364896404784[/C][C]96.7029166666667[/C][C]1.00138127140748[/C][C]0.999003581802308[/C][/ROW]
[ROW][C]25[/C][C]96.74[/C][C]96.765325762777[/C][C]96.6654166666667[/C][C]1.0010335557385[/C][C]0.999738276468587[/C][/ROW]
[ROW][C]26[/C][C]96.62[/C][C]96.6386713803394[/C][C]96.6266666666667[/C][C]1.00012423810204[/C][C]0.999806791835269[/C][/ROW]
[ROW][C]27[/C][C]97.04[/C][C]96.6587179783319[/C][C]96.585[/C][C]1.00076324458593[/C][C]1.00394462113344[/C][/ROW]
[ROW][C]28[/C][C]96.93[/C][C]96.7107350668225[/C][C]96.5479166666667[/C][C]1.00168639993256[/C][C]1.00226722434718[/C][/ROW]
[ROW][C]29[/C][C]96.24[/C][C]96.4970986040832[/C][C]96.5291666666667[/C][C]0.999667788879871[/C][C]0.997335685654778[/C][/ROW]
[ROW][C]30[/C][C]96.21[/C][C]96.4355592523031[/C][C]96.5270833333333[/C][C]0.999051830037025[/C][C]0.99766103650923[/C][/ROW]
[ROW][C]31[/C][C]96.21[/C][C]96.3830947768799[/C][C]96.5295833333333[/C][C]0.998482449095967[/C][C]0.998204096088836[/C][/ROW]
[ROW][C]32[/C][C]96.18[/C][C]96.3981618565443[/C][C]96.5325[/C][C]0.998608363572313[/C][C]0.997736867048679[/C][/ROW]
[ROW][C]33[/C][C]96.2[/C][C]96.3111932916896[/C][C]96.5220833333333[/C][C]0.997815110963618[/C][C]0.998845479036348[/C][/ROW]
[ROW][C]34[/C][C]96.51[/C][C]96.5042042020624[/C][C]96.5120833333333[/C][C]0.999918361193762[/C][C]1.00006005746574[/C][/ROW]
[ROW][C]35[/C][C]96.69[/C][C]96.6595457537165[/C][C]96.5179166666667[/C][C]1.00146738649093[/C][C]1.00031506713637[/C][/ROW]
[ROW][C]36[/C][C]96.77[/C][C]96.6616651601785[/C][C]96.5283333333333[/C][C]1.00138127140748[/C][C]1.00112076322751[/C][/ROW]
[ROW][C]37[/C][C]96.77[/C][C]96.6414478602544[/C][C]96.5416666666667[/C][C]1.0010335557385[/C][C]1.00133019674883[/C][/ROW]
[ROW][C]38[/C][C]96.66[/C][C]96.5682459652398[/C][C]96.55625[/C][C]1.00012423810204[/C][C]1.00095014705759[/C][/ROW]
[ROW][C]39[/C][C]96.75[/C][C]96.6478763765155[/C][C]96.5741666666667[/C][C]1.00076324458593[/C][C]1.00105665667279[/C][/ROW]
[ROW][C]40[/C][C]96.98[/C][C]96.7528893694864[/C][C]96.59[/C][C]1.00168639993256[/C][C]1.00234732659659[/C][/ROW]
[ROW][C]41[/C][C]96.33[/C][C]96.5895678745545[/C][C]96.6216666666666[/C][C]0.999667788879871[/C][C]0.997312671748447[/C][/ROW]
[ROW][C]42[/C][C]96.37[/C][C]96.5825031256377[/C][C]96.6741666666667[/C][C]0.999051830037025[/C][C]0.997799776162756[/C][/ROW]
[ROW][C]43[/C][C]96.37[/C][C]96.5807110949301[/C][C]96.7275[/C][C]0.998482449095967[/C][C]0.997818290085657[/C][/ROW]
[ROW][C]44[/C][C]96.37[/C][C]96.6536391628915[/C][C]96.7883333333333[/C][C]0.998608363572313[/C][C]0.997065406275976[/C][/ROW]
[ROW][C]45[/C][C]96.44[/C][C]96.6334044212716[/C][C]96.845[/C][C]0.997815110963618[/C][C]0.997998575933138[/C][/ROW]
[ROW][C]46[/C][C]96.65[/C][C]96.8666746079952[/C][C]96.8745833333333[/C][C]0.999918361193762[/C][C]0.997763166652804[/C][/ROW]
[ROW][C]47[/C][C]97.31[/C][C]97.061384542546[/C][C]96.9191666666667[/C][C]1.00146738649093[/C][C]1.00256142500569[/C][/ROW]
[ROW][C]48[/C][C]97.41[/C][C]97.1231350294188[/C][C]96.9891666666667[/C][C]1.00138127140748[/C][C]1.00295362140539[/C][/ROW]
[ROW][C]49[/C][C]97.41[/C][C]97.1544775575703[/C][C]97.0541666666667[/C][C]1.0010335557385[/C][C]1.0026300634706[/C][/ROW]
[ROW][C]50[/C][C]97.48[/C][C]97.1358164703627[/C][C]97.12375[/C][C]1.00012423810204[/C][C]1.00354332255747[/C][/ROW]
[ROW][C]51[/C][C]97.29[/C][C]97.2579249710277[/C][C]97.18375[/C][C]1.00076324458593[/C][C]1.00032979347423[/C][/ROW]
[ROW][C]52[/C][C]97.15[/C][C]97.4148371321084[/C][C]97.2508333333333[/C][C]1.00168639993256[/C][C]0.997281347072938[/C][/ROW]
[ROW][C]53[/C][C]97.23[/C][C]97.2868361572982[/C][C]97.3191666666666[/C][C]0.999667788879871[/C][C]0.999415787792643[/C][/ROW]
[ROW][C]54[/C][C]97.15[/C][C]97.2676861724048[/C][C]97.36[/C][C]0.999051830037025[/C][C]0.998790079449447[/C][/ROW]
[ROW][C]55[/C][C]97.15[/C][C]97.2455339922865[/C][C]97.3933333333333[/C][C]0.998482449095967[/C][C]0.999017600208827[/C][/ROW]
[ROW][C]56[/C][C]97.26[/C][C]97.2869233001236[/C][C]97.4225[/C][C]0.998608363572313[/C][C]0.999723258797685[/C][/ROW]
[ROW][C]57[/C][C]96.99[/C][C]97.2516340337728[/C][C]97.4645833333333[/C][C]0.997815110963618[/C][C]0.997309720948422[/C][/ROW]
[ROW][C]58[/C][C]97.71[/C][C]97.5516186854129[/C][C]97.5595833333333[/C][C]0.999918361193762[/C][C]1.00162356418808[/C][/ROW]
[ROW][C]59[/C][C]97.89[/C][C]97.8358526547656[/C][C]97.6925[/C][C]1.00146738649093[/C][C]1.00055345094631[/C][/ROW]
[ROW][C]60[/C][C]97.81[/C][C]97.9693022037581[/C][C]97.8341666666667[/C][C]1.00138127140748[/C][C]0.9983739579626[/C][/ROW]
[ROW][C]61[/C][C]97.81[/C][C]98.0837703751476[/C][C]97.9825[/C][C]1.0010335557385[/C][C]0.997208810651339[/C][/ROW]
[ROW][C]62[/C][C]97.78[/C][C]98.139274455925[/C][C]98.1270833333333[/C][C]1.00012423810204[/C][C]0.99633913682451[/C][/ROW]
[ROW][C]63[/C][C]98[/C][C]98.3733590040558[/C][C]98.2983333333333[/C][C]1.00076324458593[/C][C]0.996204673624692[/C][/ROW]
[ROW][C]64[/C][C]98.72[/C][C]98.6385640173594[/C][C]98.4725[/C][C]1.00168639993256[/C][C]1.0008255998397[/C][/ROW]
[ROW][C]65[/C][C]98.85[/C][C]98.5830720568792[/C][C]98.6158333333333[/C][C]0.999667788879871[/C][C]1.00270764480708[/C][/ROW]
[ROW][C]66[/C][C]98.93[/C][C]98.66802382084[/C][C]98.7616666666667[/C][C]0.999051830037025[/C][C]1.00265512745685[/C][/ROW]
[ROW][C]67[/C][C]98.93[/C][C]NA[/C][C]NA[/C][C]0.998482449095967[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]98.95[/C][C]NA[/C][C]NA[/C][C]0.998608363572313[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]99.41[/C][C]NA[/C][C]NA[/C][C]0.997815110963618[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]99.47[/C][C]NA[/C][C]NA[/C][C]0.999918361193762[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]99.57[/C][C]NA[/C][C]NA[/C][C]1.00146738649093[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]99.63[/C][C]NA[/C][C]NA[/C][C]1.00138127140748[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167538&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167538&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	97.81	NA	NA	1.0010335557385	NA
2	97.81	NA	NA	1.00012423810204	NA
3	97.34	NA	NA	1.00076324458593	NA
4	97.02	NA	NA	1.00168639993256	NA
5	96.96	NA	NA	0.999667788879871	NA
6	96.89	NA	NA	0.999051830037025	NA
7	96.89	96.73547587454	96.8825	0.998482449095967	1.00159738838377
8	96.87	96.6261774328933	96.7608333333333	0.998608363572313	1.00252335933786
9	96.63	96.442988037596	96.6541666666667	0.997815110963618	1.00193909340854
10	96.35	96.5712820587925	96.5791666666667	0.999918361193762	0.997708614258038
11	96.34	96.6791578233686	96.5375	1.00146738649093	0.996491924102315
12	96.39	96.6503996208752	96.5170833333333	1.00138127140748	0.997305757431975
13	96.39	96.5976526421908	96.4979166666667	1.0010335557385	0.997850334490426
14	96.31	96.4915697736519	96.4795833333333	1.00012423810204	0.998118283554948
15	96.28	96.5482170367422	96.4745833333333	1.00076324458593	0.997221936924634
16	96.28	96.6631549628257	96.5004166666667	1.00168639993256	0.996036183973376
17	96.7	96.5083448667081	96.5404166666667	0.999667788879871	1.00198589182683
18	96.66	96.4813491278465	96.5729166666667	0.999051830037025	1.0018516622515
19	96.66	96.4554847544393	96.6020833333333	0.998482449095967	1.0021203070627
20	96.66	96.4951100851744	96.6295833333333	0.998608363572313	1.00170879036958
21	96.72	96.4629443398153	96.6741666666667	0.997815110963618	1.00266481250333
22	96.88	96.725019506826	96.7329166666667	0.999918361193762	1.00160227926512
23	96.77	96.8827895252884	96.7408333333333	1.00146738649093	0.998835814639101
24	96.74	96.8364896404784	96.7029166666667	1.00138127140748	0.999003581802308
25	96.74	96.765325762777	96.6654166666667	1.0010335557385	0.999738276468587
26	96.62	96.6386713803394	96.6266666666667	1.00012423810204	0.999806791835269
27	97.04	96.6587179783319	96.585	1.00076324458593	1.00394462113344
28	96.93	96.7107350668225	96.5479166666667	1.00168639993256	1.00226722434718
29	96.24	96.4970986040832	96.5291666666667	0.999667788879871	0.997335685654778
30	96.21	96.4355592523031	96.5270833333333	0.999051830037025	0.99766103650923
31	96.21	96.3830947768799	96.5295833333333	0.998482449095967	0.998204096088836
32	96.18	96.3981618565443	96.5325	0.998608363572313	0.997736867048679
33	96.2	96.3111932916896	96.5220833333333	0.997815110963618	0.998845479036348
34	96.51	96.5042042020624	96.5120833333333	0.999918361193762	1.00006005746574
35	96.69	96.6595457537165	96.5179166666667	1.00146738649093	1.00031506713637
36	96.77	96.6616651601785	96.5283333333333	1.00138127140748	1.00112076322751
37	96.77	96.6414478602544	96.5416666666667	1.0010335557385	1.00133019674883
38	96.66	96.5682459652398	96.55625	1.00012423810204	1.00095014705759
39	96.75	96.6478763765155	96.5741666666667	1.00076324458593	1.00105665667279
40	96.98	96.7528893694864	96.59	1.00168639993256	1.00234732659659
41	96.33	96.5895678745545	96.6216666666666	0.999667788879871	0.997312671748447
42	96.37	96.5825031256377	96.6741666666667	0.999051830037025	0.997799776162756
43	96.37	96.5807110949301	96.7275	0.998482449095967	0.997818290085657
44	96.37	96.6536391628915	96.7883333333333	0.998608363572313	0.997065406275976
45	96.44	96.6334044212716	96.845	0.997815110963618	0.997998575933138
46	96.65	96.8666746079952	96.8745833333333	0.999918361193762	0.997763166652804
47	97.31	97.061384542546	96.9191666666667	1.00146738649093	1.00256142500569
48	97.41	97.1231350294188	96.9891666666667	1.00138127140748	1.00295362140539
49	97.41	97.1544775575703	97.0541666666667	1.0010335557385	1.0026300634706
50	97.48	97.1358164703627	97.12375	1.00012423810204	1.00354332255747
51	97.29	97.2579249710277	97.18375	1.00076324458593	1.00032979347423
52	97.15	97.4148371321084	97.2508333333333	1.00168639993256	0.997281347072938
53	97.23	97.2868361572982	97.3191666666666	0.999667788879871	0.999415787792643
54	97.15	97.2676861724048	97.36	0.999051830037025	0.998790079449447
55	97.15	97.2455339922865	97.3933333333333	0.998482449095967	0.999017600208827
56	97.26	97.2869233001236	97.4225	0.998608363572313	0.999723258797685
57	96.99	97.2516340337728	97.4645833333333	0.997815110963618	0.997309720948422
58	97.71	97.5516186854129	97.5595833333333	0.999918361193762	1.00162356418808
59	97.89	97.8358526547656	97.6925	1.00146738649093	1.00055345094631
60	97.81	97.9693022037581	97.8341666666667	1.00138127140748	0.9983739579626
61	97.81	98.0837703751476	97.9825	1.0010335557385	0.997208810651339
62	97.78	98.139274455925	98.1270833333333	1.00012423810204	0.99633913682451
63	98	98.3733590040558	98.2983333333333	1.00076324458593	0.996204673624692
64	98.72	98.6385640173594	98.4725	1.00168639993256	1.0008255998397
65	98.85	98.5830720568792	98.6158333333333	0.999667788879871	1.00270764480708
66	98.93	98.66802382084	98.7616666666667	0.999051830037025	1.00265512745685
67	98.93	NA	NA	0.998482449095967	NA
68	98.95	NA	NA	0.998608363572313	NA
69	99.41	NA	NA	0.997815110963618	NA
70	99.47	NA	NA	0.999918361193762	NA
71	99.57	NA	NA	1.00146738649093	NA
72	99.63	NA	NA	1.00138127140748	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