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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 11 Dec 2010 20:42:46 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/11/t1292100246mk5ogm4lgdzl1gg.htm/, Retrieved Mon, 06 May 2024 15:02:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108302, Retrieved Mon, 06 May 2024 15:02:18 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

106

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

-       [Classical Decomposition] [opgave 8 oef 2 ] [2010-12-11 20:42:46] [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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108302&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108302&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108302&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	24.3	NA	NA	0.657507503836322	NA
2	29.4	NA	NA	0.842468589465635	NA
3	31.8	NA	NA	0.885496296850527	NA
4	36.7	NA	NA	1.04309665520377	NA
5	37.1	NA	NA	1.09530841428656	NA
6	37.7	NA	NA	1.07656062680808	NA
7	39.4	39.2677037977926	34.5166666666667	1.13764472615527	1.00336908424513
8	43.3	42.3717166811437	34.4125	1.23128853414148	1.02190808849785
9	39.6	39.1081565716273	34.3875	1.13727827180305	1.01257649225864
10	34.3	36.333277708013	34.2791666666667	1.05992301567073	0.944038142543783
11	32	32.4774193799343	34.2375	0.94859202278012	0.985299959508811
12	29.6	30.3314181952013	34.2791666666667	0.884835342998458	0.97588578976116
13	22.3	22.5086735479968	34.2333333333333	0.657507503836322	0.99072919390155
14	28.9	28.822956617093	34.2125	0.842468589465635	1.00267298681154
15	31.7	30.2692150806738	34.1833333333333	0.885496296850527	1.04726864953428
16	34.2	35.7086754964757	34.2333333333333	1.04309665520377	0.957750449281587
17	38.6	37.6329716008625	34.3583333333333	1.09530841428656	1.02569630720087
18	37.2	37.0157428850846	34.3833333333333	1.07656062680808	1.00497780405184
19	38.8	39.1131737224899	34.3808333333333	1.13764472615527	0.991993139582284
20	43.4	42.3265694348918	34.3758333333333	1.23128853414148	1.0253606795788
21	38.8	38.9991674039128	34.2916666666667	1.13727827180305	0.99489303446276
22	36.3	36.2860228068976	34.2345833333333	1.05992301567073	1.00038519495996
23	33	32.4118084316921	34.1683333333333	0.94859202278012	1.01814744677229
24	29.2	30.1507643126724	34.075	0.884835342998458	0.96846632799047
25	22.64	22.3947055806651	34.06	0.657507503836322	1.01095323260452
26	28.44	28.6769287282523	34.0391666666667	0.842468589465635	0.991738001984191
27	30.14	30.1301183707102	34.02625	0.885496296850527	1.00032796516655
28	34.39	35.5569918578648	34.0879166666667	1.04309665520377	0.967179679807286
29	36.82	37.3988494273087	34.1445833333333	1.09530841428656	0.984522266428709
30	36.74	36.8461845863624	34.2258333333333	1.07656062680808	0.99711816603118
31	38.9	38.9529554235563	34.24	1.13764472615527	0.99864052873574
32	42.8	42.0526077360453	34.1533333333333	1.23128853414148	1.01777279232351
33	39.09	38.7574957711547	34.0791666666667	1.13727827180305	1.00857909475908
34	37.49	36.1155518552106	34.07375	1.05992301567073	1.03805696089872
35	33.17	32.3888841244749	34.1441666666667	0.94859202278012	1.02411678872675
36	30.98	30.1618247544599	34.0875	0.884835342998458	1.02712618524246
37	21.2	22.343200826198	33.9816666666667	0.657507503836322	0.94883450965282
38	27.8	28.5091370675171	33.84	0.842468589465635	0.975125972215937
39	29	29.740500000096	33.58625	0.885496296850527	0.97510129284667
40	35.4	34.7738001192493	33.3370833333333	1.04309665520377	1.01800780698696
41	37.5	36.2606414334626	33.1054166666667	1.09530841428656	1.03417916830875
42	34.7	35.4269188266871	32.9075	1.07656062680808	0.979481172770254
43	38.4	37.3574086951236	32.8375	1.13764472615527	1.02790855525835
44	39.9	40.4580890843321	32.8583333333333	1.23128853414148	0.986205747800673
45	35.9	37.392761844991	32.8791666666667	1.13727827180305	0.960078855603683
46	34.7	34.8140547188849	32.8458333333333	1.05992301567073	0.996723888676402
47	30.4	31.0782461463337	32.7625	0.94859202278012	0.978176176894278
48	29	29.0115388085619	32.7875	0.884835342998458	0.999602268303034
49	21.5	21.5744649696293	32.8125	0.657507503836322	0.99654846737872
50	28	27.6715828781567	32.8458333333333	0.842468589465635	1.01186838943364
51	29.3	29.2767213146205	33.0625	0.885496296850527	1.00079512610477
52	34.3	34.7525035625389	33.3166666666667	1.04309665520377	0.986979252826357
53	36.6	36.7156508038975	33.5208333333333	1.09530841428656	0.996850095221921
54	36.2	36.2666361155974	33.6875	1.07656062680808	0.998162605558868
55	37.5	38.4713524894839	33.8166666666667	1.13764472615527	0.9747512778567
56	41.6	41.7663331518574	33.9208333333333	1.23128853414148	0.996017530405347
57	39.4	38.6390292845085	33.975	1.13727827180305	1.01969435385885
58	37.3	36.1433748343719	34.1	1.05992301567073	1.03200102842992
59	32.7	32.5011341805038	34.2625	0.94859202278012	1.00611873476143
60	30.7	30.4383357991469	34.4	0.884835342998458	1.00859653440253
61	22.9	22.7305823305415	34.5708333333333	0.657507503836322	1.00745329208882
62	29.1	29.1564337670898	34.6083333333333	0.842468589465635	0.998064448912351
63	29.5	30.6197240315105	34.5791666666667	0.885496296850527	0.963431282713123
64	37.1	36.0520281454803	34.5625	1.04309665520377	1.02906831899417
65	37.7	37.8292143584221	34.5375	1.09530841428656	0.996584270632801
66	38.4	37.2265693411679	34.5791666666667	1.07656062680808	1.03152132145399
67	39.4	39.4383505067159	34.6666666666667	1.13764472615527	0.999027583399834
68	40.6	42.8077980369854	34.7666666666667	1.23128853414148	0.948425330471847
69	39.7	39.7052276643239	34.9125	1.13727827180305	0.999868338135017
70	36.6	37.1767997746509	35.075	1.05992301567073	0.984484953569236
71	32.8	33.3390571339596	35.1458333333333	0.94859202278012	0.983831062414463
72	31.6	31.1019623063958	35.15	0.884835342998458	1.01601306337838
73	24.1	23.1470037496379	35.2041666666667	0.657507503836322	1.04117147345159
74	30.3	29.8163674955046	35.3916666666667	0.842468589465635	1.01622036972037
75	31.8	31.5236681678787	35.6	0.885496296850527	1.00876585271262
76	38.7	37.3298215481049	35.7875	1.04309665520377	1.03670466118166
77	37.8	39.4630494097329	36.0291666666667	1.09530841428656	0.957858061284976
78	38.4	39.0073800446796	36.2333333333333	1.07656062680808	0.984429099211895
79	40.7	NA	NA	1.13764472615527	NA
80	43.8	NA	NA	1.23128853414148	NA
81	41.5	NA	NA	1.13727827180305	NA
82	39.3	NA	NA	1.05992301567073	NA
83	35.9	NA	NA	0.94859202278012	NA
84	33.4	NA	NA	0.884835342998458	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 24.3 & NA & NA & 0.657507503836322 & NA \tabularnewline
2 & 29.4 & NA & NA & 0.842468589465635 & NA \tabularnewline
3 & 31.8 & NA & NA & 0.885496296850527 & NA \tabularnewline
4 & 36.7 & NA & NA & 1.04309665520377 & NA \tabularnewline
5 & 37.1 & NA & NA & 1.09530841428656 & NA \tabularnewline
6 & 37.7 & NA & NA & 1.07656062680808 & NA \tabularnewline
7 & 39.4 & 39.2677037977926 & 34.5166666666667 & 1.13764472615527 & 1.00336908424513 \tabularnewline
8 & 43.3 & 42.3717166811437 & 34.4125 & 1.23128853414148 & 1.02190808849785 \tabularnewline
9 & 39.6 & 39.1081565716273 & 34.3875 & 1.13727827180305 & 1.01257649225864 \tabularnewline
10 & 34.3 & 36.333277708013 & 34.2791666666667 & 1.05992301567073 & 0.944038142543783 \tabularnewline
11 & 32 & 32.4774193799343 & 34.2375 & 0.94859202278012 & 0.985299959508811 \tabularnewline
12 & 29.6 & 30.3314181952013 & 34.2791666666667 & 0.884835342998458 & 0.97588578976116 \tabularnewline
13 & 22.3 & 22.5086735479968 & 34.2333333333333 & 0.657507503836322 & 0.99072919390155 \tabularnewline
14 & 28.9 & 28.822956617093 & 34.2125 & 0.842468589465635 & 1.00267298681154 \tabularnewline
15 & 31.7 & 30.2692150806738 & 34.1833333333333 & 0.885496296850527 & 1.04726864953428 \tabularnewline
16 & 34.2 & 35.7086754964757 & 34.2333333333333 & 1.04309665520377 & 0.957750449281587 \tabularnewline
17 & 38.6 & 37.6329716008625 & 34.3583333333333 & 1.09530841428656 & 1.02569630720087 \tabularnewline
18 & 37.2 & 37.0157428850846 & 34.3833333333333 & 1.07656062680808 & 1.00497780405184 \tabularnewline
19 & 38.8 & 39.1131737224899 & 34.3808333333333 & 1.13764472615527 & 0.991993139582284 \tabularnewline
20 & 43.4 & 42.3265694348918 & 34.3758333333333 & 1.23128853414148 & 1.0253606795788 \tabularnewline
21 & 38.8 & 38.9991674039128 & 34.2916666666667 & 1.13727827180305 & 0.99489303446276 \tabularnewline
22 & 36.3 & 36.2860228068976 & 34.2345833333333 & 1.05992301567073 & 1.00038519495996 \tabularnewline
23 & 33 & 32.4118084316921 & 34.1683333333333 & 0.94859202278012 & 1.01814744677229 \tabularnewline
24 & 29.2 & 30.1507643126724 & 34.075 & 0.884835342998458 & 0.96846632799047 \tabularnewline
25 & 22.64 & 22.3947055806651 & 34.06 & 0.657507503836322 & 1.01095323260452 \tabularnewline
26 & 28.44 & 28.6769287282523 & 34.0391666666667 & 0.842468589465635 & 0.991738001984191 \tabularnewline
27 & 30.14 & 30.1301183707102 & 34.02625 & 0.885496296850527 & 1.00032796516655 \tabularnewline
28 & 34.39 & 35.5569918578648 & 34.0879166666667 & 1.04309665520377 & 0.967179679807286 \tabularnewline
29 & 36.82 & 37.3988494273087 & 34.1445833333333 & 1.09530841428656 & 0.984522266428709 \tabularnewline
30 & 36.74 & 36.8461845863624 & 34.2258333333333 & 1.07656062680808 & 0.99711816603118 \tabularnewline
31 & 38.9 & 38.9529554235563 & 34.24 & 1.13764472615527 & 0.99864052873574 \tabularnewline
32 & 42.8 & 42.0526077360453 & 34.1533333333333 & 1.23128853414148 & 1.01777279232351 \tabularnewline
33 & 39.09 & 38.7574957711547 & 34.0791666666667 & 1.13727827180305 & 1.00857909475908 \tabularnewline
34 & 37.49 & 36.1155518552106 & 34.07375 & 1.05992301567073 & 1.03805696089872 \tabularnewline
35 & 33.17 & 32.3888841244749 & 34.1441666666667 & 0.94859202278012 & 1.02411678872675 \tabularnewline
36 & 30.98 & 30.1618247544599 & 34.0875 & 0.884835342998458 & 1.02712618524246 \tabularnewline
37 & 21.2 & 22.343200826198 & 33.9816666666667 & 0.657507503836322 & 0.94883450965282 \tabularnewline
38 & 27.8 & 28.5091370675171 & 33.84 & 0.842468589465635 & 0.975125972215937 \tabularnewline
39 & 29 & 29.740500000096 & 33.58625 & 0.885496296850527 & 0.97510129284667 \tabularnewline
40 & 35.4 & 34.7738001192493 & 33.3370833333333 & 1.04309665520377 & 1.01800780698696 \tabularnewline
41 & 37.5 & 36.2606414334626 & 33.1054166666667 & 1.09530841428656 & 1.03417916830875 \tabularnewline
42 & 34.7 & 35.4269188266871 & 32.9075 & 1.07656062680808 & 0.979481172770254 \tabularnewline
43 & 38.4 & 37.3574086951236 & 32.8375 & 1.13764472615527 & 1.02790855525835 \tabularnewline
44 & 39.9 & 40.4580890843321 & 32.8583333333333 & 1.23128853414148 & 0.986205747800673 \tabularnewline
45 & 35.9 & 37.392761844991 & 32.8791666666667 & 1.13727827180305 & 0.960078855603683 \tabularnewline
46 & 34.7 & 34.8140547188849 & 32.8458333333333 & 1.05992301567073 & 0.996723888676402 \tabularnewline
47 & 30.4 & 31.0782461463337 & 32.7625 & 0.94859202278012 & 0.978176176894278 \tabularnewline
48 & 29 & 29.0115388085619 & 32.7875 & 0.884835342998458 & 0.999602268303034 \tabularnewline
49 & 21.5 & 21.5744649696293 & 32.8125 & 0.657507503836322 & 0.99654846737872 \tabularnewline
50 & 28 & 27.6715828781567 & 32.8458333333333 & 0.842468589465635 & 1.01186838943364 \tabularnewline
51 & 29.3 & 29.2767213146205 & 33.0625 & 0.885496296850527 & 1.00079512610477 \tabularnewline
52 & 34.3 & 34.7525035625389 & 33.3166666666667 & 1.04309665520377 & 0.986979252826357 \tabularnewline
53 & 36.6 & 36.7156508038975 & 33.5208333333333 & 1.09530841428656 & 0.996850095221921 \tabularnewline
54 & 36.2 & 36.2666361155974 & 33.6875 & 1.07656062680808 & 0.998162605558868 \tabularnewline
55 & 37.5 & 38.4713524894839 & 33.8166666666667 & 1.13764472615527 & 0.9747512778567 \tabularnewline
56 & 41.6 & 41.7663331518574 & 33.9208333333333 & 1.23128853414148 & 0.996017530405347 \tabularnewline
57 & 39.4 & 38.6390292845085 & 33.975 & 1.13727827180305 & 1.01969435385885 \tabularnewline
58 & 37.3 & 36.1433748343719 & 34.1 & 1.05992301567073 & 1.03200102842992 \tabularnewline
59 & 32.7 & 32.5011341805038 & 34.2625 & 0.94859202278012 & 1.00611873476143 \tabularnewline
60 & 30.7 & 30.4383357991469 & 34.4 & 0.884835342998458 & 1.00859653440253 \tabularnewline
61 & 22.9 & 22.7305823305415 & 34.5708333333333 & 0.657507503836322 & 1.00745329208882 \tabularnewline
62 & 29.1 & 29.1564337670898 & 34.6083333333333 & 0.842468589465635 & 0.998064448912351 \tabularnewline
63 & 29.5 & 30.6197240315105 & 34.5791666666667 & 0.885496296850527 & 0.963431282713123 \tabularnewline
64 & 37.1 & 36.0520281454803 & 34.5625 & 1.04309665520377 & 1.02906831899417 \tabularnewline
65 & 37.7 & 37.8292143584221 & 34.5375 & 1.09530841428656 & 0.996584270632801 \tabularnewline
66 & 38.4 & 37.2265693411679 & 34.5791666666667 & 1.07656062680808 & 1.03152132145399 \tabularnewline
67 & 39.4 & 39.4383505067159 & 34.6666666666667 & 1.13764472615527 & 0.999027583399834 \tabularnewline
68 & 40.6 & 42.8077980369854 & 34.7666666666667 & 1.23128853414148 & 0.948425330471847 \tabularnewline
69 & 39.7 & 39.7052276643239 & 34.9125 & 1.13727827180305 & 0.999868338135017 \tabularnewline
70 & 36.6 & 37.1767997746509 & 35.075 & 1.05992301567073 & 0.984484953569236 \tabularnewline
71 & 32.8 & 33.3390571339596 & 35.1458333333333 & 0.94859202278012 & 0.983831062414463 \tabularnewline
72 & 31.6 & 31.1019623063958 & 35.15 & 0.884835342998458 & 1.01601306337838 \tabularnewline
73 & 24.1 & 23.1470037496379 & 35.2041666666667 & 0.657507503836322 & 1.04117147345159 \tabularnewline
74 & 30.3 & 29.8163674955046 & 35.3916666666667 & 0.842468589465635 & 1.01622036972037 \tabularnewline
75 & 31.8 & 31.5236681678787 & 35.6 & 0.885496296850527 & 1.00876585271262 \tabularnewline
76 & 38.7 & 37.3298215481049 & 35.7875 & 1.04309665520377 & 1.03670466118166 \tabularnewline
77 & 37.8 & 39.4630494097329 & 36.0291666666667 & 1.09530841428656 & 0.957858061284976 \tabularnewline
78 & 38.4 & 39.0073800446796 & 36.2333333333333 & 1.07656062680808 & 0.984429099211895 \tabularnewline
79 & 40.7 & NA & NA & 1.13764472615527 & NA \tabularnewline
80 & 43.8 & NA & NA & 1.23128853414148 & NA \tabularnewline
81 & 41.5 & NA & NA & 1.13727827180305 & NA \tabularnewline
82 & 39.3 & NA & NA & 1.05992301567073 & NA \tabularnewline
83 & 35.9 & NA & NA & 0.94859202278012 & NA \tabularnewline
84 & 33.4 & NA & NA & 0.884835342998458 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108302&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]24.3[/C][C]NA[/C][C]NA[/C][C]0.657507503836322[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]29.4[/C][C]NA[/C][C]NA[/C][C]0.842468589465635[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]31.8[/C][C]NA[/C][C]NA[/C][C]0.885496296850527[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]36.7[/C][C]NA[/C][C]NA[/C][C]1.04309665520377[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]37.1[/C][C]NA[/C][C]NA[/C][C]1.09530841428656[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]37.7[/C][C]NA[/C][C]NA[/C][C]1.07656062680808[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]39.4[/C][C]39.2677037977926[/C][C]34.5166666666667[/C][C]1.13764472615527[/C][C]1.00336908424513[/C][/ROW]
[ROW][C]8[/C][C]43.3[/C][C]42.3717166811437[/C][C]34.4125[/C][C]1.23128853414148[/C][C]1.02190808849785[/C][/ROW]
[ROW][C]9[/C][C]39.6[/C][C]39.1081565716273[/C][C]34.3875[/C][C]1.13727827180305[/C][C]1.01257649225864[/C][/ROW]
[ROW][C]10[/C][C]34.3[/C][C]36.333277708013[/C][C]34.2791666666667[/C][C]1.05992301567073[/C][C]0.944038142543783[/C][/ROW]
[ROW][C]11[/C][C]32[/C][C]32.4774193799343[/C][C]34.2375[/C][C]0.94859202278012[/C][C]0.985299959508811[/C][/ROW]
[ROW][C]12[/C][C]29.6[/C][C]30.3314181952013[/C][C]34.2791666666667[/C][C]0.884835342998458[/C][C]0.97588578976116[/C][/ROW]
[ROW][C]13[/C][C]22.3[/C][C]22.5086735479968[/C][C]34.2333333333333[/C][C]0.657507503836322[/C][C]0.99072919390155[/C][/ROW]
[ROW][C]14[/C][C]28.9[/C][C]28.822956617093[/C][C]34.2125[/C][C]0.842468589465635[/C][C]1.00267298681154[/C][/ROW]
[ROW][C]15[/C][C]31.7[/C][C]30.2692150806738[/C][C]34.1833333333333[/C][C]0.885496296850527[/C][C]1.04726864953428[/C][/ROW]
[ROW][C]16[/C][C]34.2[/C][C]35.7086754964757[/C][C]34.2333333333333[/C][C]1.04309665520377[/C][C]0.957750449281587[/C][/ROW]
[ROW][C]17[/C][C]38.6[/C][C]37.6329716008625[/C][C]34.3583333333333[/C][C]1.09530841428656[/C][C]1.02569630720087[/C][/ROW]
[ROW][C]18[/C][C]37.2[/C][C]37.0157428850846[/C][C]34.3833333333333[/C][C]1.07656062680808[/C][C]1.00497780405184[/C][/ROW]
[ROW][C]19[/C][C]38.8[/C][C]39.1131737224899[/C][C]34.3808333333333[/C][C]1.13764472615527[/C][C]0.991993139582284[/C][/ROW]
[ROW][C]20[/C][C]43.4[/C][C]42.3265694348918[/C][C]34.3758333333333[/C][C]1.23128853414148[/C][C]1.0253606795788[/C][/ROW]
[ROW][C]21[/C][C]38.8[/C][C]38.9991674039128[/C][C]34.2916666666667[/C][C]1.13727827180305[/C][C]0.99489303446276[/C][/ROW]
[ROW][C]22[/C][C]36.3[/C][C]36.2860228068976[/C][C]34.2345833333333[/C][C]1.05992301567073[/C][C]1.00038519495996[/C][/ROW]
[ROW][C]23[/C][C]33[/C][C]32.4118084316921[/C][C]34.1683333333333[/C][C]0.94859202278012[/C][C]1.01814744677229[/C][/ROW]
[ROW][C]24[/C][C]29.2[/C][C]30.1507643126724[/C][C]34.075[/C][C]0.884835342998458[/C][C]0.96846632799047[/C][/ROW]
[ROW][C]25[/C][C]22.64[/C][C]22.3947055806651[/C][C]34.06[/C][C]0.657507503836322[/C][C]1.01095323260452[/C][/ROW]
[ROW][C]26[/C][C]28.44[/C][C]28.6769287282523[/C][C]34.0391666666667[/C][C]0.842468589465635[/C][C]0.991738001984191[/C][/ROW]
[ROW][C]27[/C][C]30.14[/C][C]30.1301183707102[/C][C]34.02625[/C][C]0.885496296850527[/C][C]1.00032796516655[/C][/ROW]
[ROW][C]28[/C][C]34.39[/C][C]35.5569918578648[/C][C]34.0879166666667[/C][C]1.04309665520377[/C][C]0.967179679807286[/C][/ROW]
[ROW][C]29[/C][C]36.82[/C][C]37.3988494273087[/C][C]34.1445833333333[/C][C]1.09530841428656[/C][C]0.984522266428709[/C][/ROW]
[ROW][C]30[/C][C]36.74[/C][C]36.8461845863624[/C][C]34.2258333333333[/C][C]1.07656062680808[/C][C]0.99711816603118[/C][/ROW]
[ROW][C]31[/C][C]38.9[/C][C]38.9529554235563[/C][C]34.24[/C][C]1.13764472615527[/C][C]0.99864052873574[/C][/ROW]
[ROW][C]32[/C][C]42.8[/C][C]42.0526077360453[/C][C]34.1533333333333[/C][C]1.23128853414148[/C][C]1.01777279232351[/C][/ROW]
[ROW][C]33[/C][C]39.09[/C][C]38.7574957711547[/C][C]34.0791666666667[/C][C]1.13727827180305[/C][C]1.00857909475908[/C][/ROW]
[ROW][C]34[/C][C]37.49[/C][C]36.1155518552106[/C][C]34.07375[/C][C]1.05992301567073[/C][C]1.03805696089872[/C][/ROW]
[ROW][C]35[/C][C]33.17[/C][C]32.3888841244749[/C][C]34.1441666666667[/C][C]0.94859202278012[/C][C]1.02411678872675[/C][/ROW]
[ROW][C]36[/C][C]30.98[/C][C]30.1618247544599[/C][C]34.0875[/C][C]0.884835342998458[/C][C]1.02712618524246[/C][/ROW]
[ROW][C]37[/C][C]21.2[/C][C]22.343200826198[/C][C]33.9816666666667[/C][C]0.657507503836322[/C][C]0.94883450965282[/C][/ROW]
[ROW][C]38[/C][C]27.8[/C][C]28.5091370675171[/C][C]33.84[/C][C]0.842468589465635[/C][C]0.975125972215937[/C][/ROW]
[ROW][C]39[/C][C]29[/C][C]29.740500000096[/C][C]33.58625[/C][C]0.885496296850527[/C][C]0.97510129284667[/C][/ROW]
[ROW][C]40[/C][C]35.4[/C][C]34.7738001192493[/C][C]33.3370833333333[/C][C]1.04309665520377[/C][C]1.01800780698696[/C][/ROW]
[ROW][C]41[/C][C]37.5[/C][C]36.2606414334626[/C][C]33.1054166666667[/C][C]1.09530841428656[/C][C]1.03417916830875[/C][/ROW]
[ROW][C]42[/C][C]34.7[/C][C]35.4269188266871[/C][C]32.9075[/C][C]1.07656062680808[/C][C]0.979481172770254[/C][/ROW]
[ROW][C]43[/C][C]38.4[/C][C]37.3574086951236[/C][C]32.8375[/C][C]1.13764472615527[/C][C]1.02790855525835[/C][/ROW]
[ROW][C]44[/C][C]39.9[/C][C]40.4580890843321[/C][C]32.8583333333333[/C][C]1.23128853414148[/C][C]0.986205747800673[/C][/ROW]
[ROW][C]45[/C][C]35.9[/C][C]37.392761844991[/C][C]32.8791666666667[/C][C]1.13727827180305[/C][C]0.960078855603683[/C][/ROW]
[ROW][C]46[/C][C]34.7[/C][C]34.8140547188849[/C][C]32.8458333333333[/C][C]1.05992301567073[/C][C]0.996723888676402[/C][/ROW]
[ROW][C]47[/C][C]30.4[/C][C]31.0782461463337[/C][C]32.7625[/C][C]0.94859202278012[/C][C]0.978176176894278[/C][/ROW]
[ROW][C]48[/C][C]29[/C][C]29.0115388085619[/C][C]32.7875[/C][C]0.884835342998458[/C][C]0.999602268303034[/C][/ROW]
[ROW][C]49[/C][C]21.5[/C][C]21.5744649696293[/C][C]32.8125[/C][C]0.657507503836322[/C][C]0.99654846737872[/C][/ROW]
[ROW][C]50[/C][C]28[/C][C]27.6715828781567[/C][C]32.8458333333333[/C][C]0.842468589465635[/C][C]1.01186838943364[/C][/ROW]
[ROW][C]51[/C][C]29.3[/C][C]29.2767213146205[/C][C]33.0625[/C][C]0.885496296850527[/C][C]1.00079512610477[/C][/ROW]
[ROW][C]52[/C][C]34.3[/C][C]34.7525035625389[/C][C]33.3166666666667[/C][C]1.04309665520377[/C][C]0.986979252826357[/C][/ROW]
[ROW][C]53[/C][C]36.6[/C][C]36.7156508038975[/C][C]33.5208333333333[/C][C]1.09530841428656[/C][C]0.996850095221921[/C][/ROW]
[ROW][C]54[/C][C]36.2[/C][C]36.2666361155974[/C][C]33.6875[/C][C]1.07656062680808[/C][C]0.998162605558868[/C][/ROW]
[ROW][C]55[/C][C]37.5[/C][C]38.4713524894839[/C][C]33.8166666666667[/C][C]1.13764472615527[/C][C]0.9747512778567[/C][/ROW]
[ROW][C]56[/C][C]41.6[/C][C]41.7663331518574[/C][C]33.9208333333333[/C][C]1.23128853414148[/C][C]0.996017530405347[/C][/ROW]
[ROW][C]57[/C][C]39.4[/C][C]38.6390292845085[/C][C]33.975[/C][C]1.13727827180305[/C][C]1.01969435385885[/C][/ROW]
[ROW][C]58[/C][C]37.3[/C][C]36.1433748343719[/C][C]34.1[/C][C]1.05992301567073[/C][C]1.03200102842992[/C][/ROW]
[ROW][C]59[/C][C]32.7[/C][C]32.5011341805038[/C][C]34.2625[/C][C]0.94859202278012[/C][C]1.00611873476143[/C][/ROW]
[ROW][C]60[/C][C]30.7[/C][C]30.4383357991469[/C][C]34.4[/C][C]0.884835342998458[/C][C]1.00859653440253[/C][/ROW]
[ROW][C]61[/C][C]22.9[/C][C]22.7305823305415[/C][C]34.5708333333333[/C][C]0.657507503836322[/C][C]1.00745329208882[/C][/ROW]
[ROW][C]62[/C][C]29.1[/C][C]29.1564337670898[/C][C]34.6083333333333[/C][C]0.842468589465635[/C][C]0.998064448912351[/C][/ROW]
[ROW][C]63[/C][C]29.5[/C][C]30.6197240315105[/C][C]34.5791666666667[/C][C]0.885496296850527[/C][C]0.963431282713123[/C][/ROW]
[ROW][C]64[/C][C]37.1[/C][C]36.0520281454803[/C][C]34.5625[/C][C]1.04309665520377[/C][C]1.02906831899417[/C][/ROW]
[ROW][C]65[/C][C]37.7[/C][C]37.8292143584221[/C][C]34.5375[/C][C]1.09530841428656[/C][C]0.996584270632801[/C][/ROW]
[ROW][C]66[/C][C]38.4[/C][C]37.2265693411679[/C][C]34.5791666666667[/C][C]1.07656062680808[/C][C]1.03152132145399[/C][/ROW]
[ROW][C]67[/C][C]39.4[/C][C]39.4383505067159[/C][C]34.6666666666667[/C][C]1.13764472615527[/C][C]0.999027583399834[/C][/ROW]
[ROW][C]68[/C][C]40.6[/C][C]42.8077980369854[/C][C]34.7666666666667[/C][C]1.23128853414148[/C][C]0.948425330471847[/C][/ROW]
[ROW][C]69[/C][C]39.7[/C][C]39.7052276643239[/C][C]34.9125[/C][C]1.13727827180305[/C][C]0.999868338135017[/C][/ROW]
[ROW][C]70[/C][C]36.6[/C][C]37.1767997746509[/C][C]35.075[/C][C]1.05992301567073[/C][C]0.984484953569236[/C][/ROW]
[ROW][C]71[/C][C]32.8[/C][C]33.3390571339596[/C][C]35.1458333333333[/C][C]0.94859202278012[/C][C]0.983831062414463[/C][/ROW]
[ROW][C]72[/C][C]31.6[/C][C]31.1019623063958[/C][C]35.15[/C][C]0.884835342998458[/C][C]1.01601306337838[/C][/ROW]
[ROW][C]73[/C][C]24.1[/C][C]23.1470037496379[/C][C]35.2041666666667[/C][C]0.657507503836322[/C][C]1.04117147345159[/C][/ROW]
[ROW][C]74[/C][C]30.3[/C][C]29.8163674955046[/C][C]35.3916666666667[/C][C]0.842468589465635[/C][C]1.01622036972037[/C][/ROW]
[ROW][C]75[/C][C]31.8[/C][C]31.5236681678787[/C][C]35.6[/C][C]0.885496296850527[/C][C]1.00876585271262[/C][/ROW]
[ROW][C]76[/C][C]38.7[/C][C]37.3298215481049[/C][C]35.7875[/C][C]1.04309665520377[/C][C]1.03670466118166[/C][/ROW]
[ROW][C]77[/C][C]37.8[/C][C]39.4630494097329[/C][C]36.0291666666667[/C][C]1.09530841428656[/C][C]0.957858061284976[/C][/ROW]
[ROW][C]78[/C][C]38.4[/C][C]39.0073800446796[/C][C]36.2333333333333[/C][C]1.07656062680808[/C][C]0.984429099211895[/C][/ROW]
[ROW][C]79[/C][C]40.7[/C][C]NA[/C][C]NA[/C][C]1.13764472615527[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]43.8[/C][C]NA[/C][C]NA[/C][C]1.23128853414148[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]41.5[/C][C]NA[/C][C]NA[/C][C]1.13727827180305[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]39.3[/C][C]NA[/C][C]NA[/C][C]1.05992301567073[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]35.9[/C][C]NA[/C][C]NA[/C][C]0.94859202278012[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]33.4[/C][C]NA[/C][C]NA[/C][C]0.884835342998458[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108302&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108302&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	24.3	NA	NA	0.657507503836322	NA
2	29.4	NA	NA	0.842468589465635	NA
3	31.8	NA	NA	0.885496296850527	NA
4	36.7	NA	NA	1.04309665520377	NA
5	37.1	NA	NA	1.09530841428656	NA
6	37.7	NA	NA	1.07656062680808	NA
7	39.4	39.2677037977926	34.5166666666667	1.13764472615527	1.00336908424513
8	43.3	42.3717166811437	34.4125	1.23128853414148	1.02190808849785
9	39.6	39.1081565716273	34.3875	1.13727827180305	1.01257649225864
10	34.3	36.333277708013	34.2791666666667	1.05992301567073	0.944038142543783
11	32	32.4774193799343	34.2375	0.94859202278012	0.985299959508811
12	29.6	30.3314181952013	34.2791666666667	0.884835342998458	0.97588578976116
13	22.3	22.5086735479968	34.2333333333333	0.657507503836322	0.99072919390155
14	28.9	28.822956617093	34.2125	0.842468589465635	1.00267298681154
15	31.7	30.2692150806738	34.1833333333333	0.885496296850527	1.04726864953428
16	34.2	35.7086754964757	34.2333333333333	1.04309665520377	0.957750449281587
17	38.6	37.6329716008625	34.3583333333333	1.09530841428656	1.02569630720087
18	37.2	37.0157428850846	34.3833333333333	1.07656062680808	1.00497780405184
19	38.8	39.1131737224899	34.3808333333333	1.13764472615527	0.991993139582284
20	43.4	42.3265694348918	34.3758333333333	1.23128853414148	1.0253606795788
21	38.8	38.9991674039128	34.2916666666667	1.13727827180305	0.99489303446276
22	36.3	36.2860228068976	34.2345833333333	1.05992301567073	1.00038519495996
23	33	32.4118084316921	34.1683333333333	0.94859202278012	1.01814744677229
24	29.2	30.1507643126724	34.075	0.884835342998458	0.96846632799047
25	22.64	22.3947055806651	34.06	0.657507503836322	1.01095323260452
26	28.44	28.6769287282523	34.0391666666667	0.842468589465635	0.991738001984191
27	30.14	30.1301183707102	34.02625	0.885496296850527	1.00032796516655
28	34.39	35.5569918578648	34.0879166666667	1.04309665520377	0.967179679807286
29	36.82	37.3988494273087	34.1445833333333	1.09530841428656	0.984522266428709
30	36.74	36.8461845863624	34.2258333333333	1.07656062680808	0.99711816603118
31	38.9	38.9529554235563	34.24	1.13764472615527	0.99864052873574
32	42.8	42.0526077360453	34.1533333333333	1.23128853414148	1.01777279232351
33	39.09	38.7574957711547	34.0791666666667	1.13727827180305	1.00857909475908
34	37.49	36.1155518552106	34.07375	1.05992301567073	1.03805696089872
35	33.17	32.3888841244749	34.1441666666667	0.94859202278012	1.02411678872675
36	30.98	30.1618247544599	34.0875	0.884835342998458	1.02712618524246
37	21.2	22.343200826198	33.9816666666667	0.657507503836322	0.94883450965282
38	27.8	28.5091370675171	33.84	0.842468589465635	0.975125972215937
39	29	29.740500000096	33.58625	0.885496296850527	0.97510129284667
40	35.4	34.7738001192493	33.3370833333333	1.04309665520377	1.01800780698696
41	37.5	36.2606414334626	33.1054166666667	1.09530841428656	1.03417916830875
42	34.7	35.4269188266871	32.9075	1.07656062680808	0.979481172770254
43	38.4	37.3574086951236	32.8375	1.13764472615527	1.02790855525835
44	39.9	40.4580890843321	32.8583333333333	1.23128853414148	0.986205747800673
45	35.9	37.392761844991	32.8791666666667	1.13727827180305	0.960078855603683
46	34.7	34.8140547188849	32.8458333333333	1.05992301567073	0.996723888676402
47	30.4	31.0782461463337	32.7625	0.94859202278012	0.978176176894278
48	29	29.0115388085619	32.7875	0.884835342998458	0.999602268303034
49	21.5	21.5744649696293	32.8125	0.657507503836322	0.99654846737872
50	28	27.6715828781567	32.8458333333333	0.842468589465635	1.01186838943364
51	29.3	29.2767213146205	33.0625	0.885496296850527	1.00079512610477
52	34.3	34.7525035625389	33.3166666666667	1.04309665520377	0.986979252826357
53	36.6	36.7156508038975	33.5208333333333	1.09530841428656	0.996850095221921
54	36.2	36.2666361155974	33.6875	1.07656062680808	0.998162605558868
55	37.5	38.4713524894839	33.8166666666667	1.13764472615527	0.9747512778567
56	41.6	41.7663331518574	33.9208333333333	1.23128853414148	0.996017530405347
57	39.4	38.6390292845085	33.975	1.13727827180305	1.01969435385885
58	37.3	36.1433748343719	34.1	1.05992301567073	1.03200102842992
59	32.7	32.5011341805038	34.2625	0.94859202278012	1.00611873476143
60	30.7	30.4383357991469	34.4	0.884835342998458	1.00859653440253
61	22.9	22.7305823305415	34.5708333333333	0.657507503836322	1.00745329208882
62	29.1	29.1564337670898	34.6083333333333	0.842468589465635	0.998064448912351
63	29.5	30.6197240315105	34.5791666666667	0.885496296850527	0.963431282713123
64	37.1	36.0520281454803	34.5625	1.04309665520377	1.02906831899417
65	37.7	37.8292143584221	34.5375	1.09530841428656	0.996584270632801
66	38.4	37.2265693411679	34.5791666666667	1.07656062680808	1.03152132145399
67	39.4	39.4383505067159	34.6666666666667	1.13764472615527	0.999027583399834
68	40.6	42.8077980369854	34.7666666666667	1.23128853414148	0.948425330471847
69	39.7	39.7052276643239	34.9125	1.13727827180305	0.999868338135017
70	36.6	37.1767997746509	35.075	1.05992301567073	0.984484953569236
71	32.8	33.3390571339596	35.1458333333333	0.94859202278012	0.983831062414463
72	31.6	31.1019623063958	35.15	0.884835342998458	1.01601306337838
73	24.1	23.1470037496379	35.2041666666667	0.657507503836322	1.04117147345159
74	30.3	29.8163674955046	35.3916666666667	0.842468589465635	1.01622036972037
75	31.8	31.5236681678787	35.6	0.885496296850527	1.00876585271262
76	38.7	37.3298215481049	35.7875	1.04309665520377	1.03670466118166
77	37.8	39.4630494097329	36.0291666666667	1.09530841428656	0.957858061284976
78	38.4	39.0073800446796	36.2333333333333	1.07656062680808	0.984429099211895
79	40.7	NA	NA	1.13764472615527	NA
80	43.8	NA	NA	1.23128853414148	NA
81	41.5	NA	NA	1.13727827180305	NA
82	39.3	NA	NA	1.05992301567073	NA
83	35.9	NA	NA	0.94859202278012	NA
84	33.4	NA	NA	0.884835342998458	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