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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 07 Dec 2011 18:48:54 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/07/t1323301768rxg8zwxzx7d0a1a.htm/, Retrieved Thu, 02 May 2024 20:03:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152759, Retrieved Thu, 02 May 2024 20:03:08 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

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

-       [Classical Decomposition] [] [2011-12-07 23:48:54] [7d095200a4be23015976b6928166d958] [Current]

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Dataseries X:

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8,29
8,27
8,27
8,43
8,46
8,48
8,46
8,46
8,43
8,4
8,38
8,3
8,39
8,53
8,52
8,54
8,62
8,52
8,49
8,44
8,31
8,26
8,21
8,03
7,89
7,83
7,85
7,84
7,88
8,01
8,08
8,11
8,11
8,07
8,06
7,95
7,95
8,07
8,17
8,21
8,2
8,19
8,18
8,16
8,17
8,17
8,19
8,01
8,04
8,13
8,14
8,17
8,25
8,27
8,27
8,26
8,24
8,21
8,25
8,06
8,16
8,32
8,43
8,39
8,41
8,45
8,43
8,52
8,52
8,51
8,56
8,36
8,4
8,44
8,5
8,31
8,38
8,45
8,42
8,46
8,45
8,32
8,4
8,18

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=152759&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=152759&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152759&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	8.29	NA	NA	0.985616166268493	NA
2	8.27	NA	NA	0.995473428785904	NA
3	8.27	NA	NA	1.00131723343697	NA
4	8.43	NA	NA	0.99842557031606	NA
5	8.46	NA	NA	1.00409130836097	NA
6	8.48	NA	NA	1.00729677308435	NA
7	8.46	8.45631128698552	8.39	1.007903609891	1.00043620828152
8	8.46	8.476046116001	8.405	1.00845283950042	0.998106886656656
9	8.43	8.46584270497437	8.42625	1.00469873371599	0.995766197622204
10	8.4	8.45273797620531	8.44125	1.00136093306149	0.993760841001606
11	8.38	8.47042023918537	8.4525	1.00212011111332	0.98932517671708
12	8.3	8.31905762366447	8.46083333333333	0.983243292465022	0.997709160757553
13	8.39	8.34200882725495	8.46375	0.985616166268493	1.00575295156584
14	8.53	8.42585301348202	8.46416666666667	0.995473428785904	1.01236040865552
15	8.52	8.46947493282107	8.45833333333333	1.00131723343697	1.00596554893659
16	8.54	8.43420000524492	8.4475	0.99842557031606	1.01254416479207
17	8.62	8.46909181464629	8.43458333333333	1.00409130836097	1.01781869752465
18	8.52	8.47766146647116	8.41625	1.00729677308435	1.0049941288286
19	8.49	8.45043184926116	8.38416666666667	1.007903609891	1.00468238208942
20	8.44	8.40461403986972	8.33416666666666	1.00845283950042	1.00421030162271
21	8.31	8.31597514386173	8.27708333333333	1.00469873371599	0.99928148608451
22	8.26	8.23118686976545	8.22	1.00136093306149	1.00350048306404
23	8.21	8.17730010668473	8.16	1.00212011111332	1.00399886183565
24	8.03	7.97205467836536	8.10791666666667	0.983243292465022	1.00726855546938
25	7.89	7.95351178838413	8.06958333333333	0.985616166268493	0.992014623216265
26	7.83	8.00236202565269	8.03875	0.995473428785904	0.978461106220868
27	7.85	8.02722648805307	8.01666666666667	1.00131723343697	0.97792182787955
28	7.84	7.98782057318278	8.00041666666667	0.99842557031606	0.981494254680801
29	7.88	8.01892421139779	7.98625	1.00409130836097	0.982675455243694
30	8.01	8.03487059330283	7.97666666666667	1.00729677308435	0.996904667845732
31	8.08	8.03887120855566	7.97583333333333	1.007903609891	1.00511623962834
32	8.11	8.05585743287583	7.98833333333333	1.00845283950042	1.00672089440203
33	8.11	8.04931135495461	8.01166666666666	1.00469873371599	1.00753960710043
34	8.07	8.05135913553649	8.04041666666667	1.00136093306149	1.00231524443882
35	8.06	8.08627419659193	8.06916666666667	1.00212011111332	0.996750766057005
36	7.95	7.95443823604202	8.09	0.983243292465022	0.999442042805498
37	7.95	7.98513364038524	8.10166666666667	0.985616166268493	0.99560011867459
38	8.07	8.07121560447705	8.10791666666667	0.995473428785904	0.999849390161703
39	8.17	8.12318605625745	8.1125	1.00131723343697	1.00576300276989
40	8.21	8.10638360965781	8.11916666666667	0.99842557031606	1.01278207340432
41	8.2	8.16200722283923	8.12875	1.00409130836097	1.00465483258266
42	8.19	8.19603807699633	8.13666666666667	1.00729677308435	0.999263293198542
43	8.18	8.20727510337496	8.14291666666667	1.007903609891	0.996676716324065
44	8.16	8.21805026456215	8.14916666666667	1.00845283950042	0.992936248539088
45	8.17	8.18871330425771	8.15041666666667	1.00469873371599	0.997714744238514
46	8.17	8.15858820211849	8.1475	1.00136093306149	1.00139874664572
47	8.19	8.16519115534211	8.14791666666667	1.00212011111332	1.00303836666967
48	8.01	8.01671031123148	8.15333333333333	0.983243292465022	0.99916295949698
49	8.04	8.04303859015351	8.16041666666666	0.985616166268493	0.999622208681526
50	8.13	8.13135879079953	8.16833333333333	0.995473428785904	0.99983289498908
51	8.14	8.18618559886119	8.17541666666667	1.00131723343697	0.994358105090164
52	8.17	8.16712116518537	8.18	0.99842557031606	1.00035249076834
53	8.25	8.21765061617756	8.18416666666667	1.00409130836097	1.00393657327786
54	8.27	8.24850145059447	8.18875	1.00729677308435	1.00260635820146
55	8.27	8.26061000273169	8.19583333333333	1.007903609891	1.0011367195964
56	8.26	8.27813724624905	8.20875	1.00845283950042	0.997809018416883
57	8.24	8.26741470506546	8.22875	1.00469873371599	0.996684005091862
58	8.21	8.2612276977573	8.25	1.00136093306149	0.993799021207078
59	8.25	8.28335781844422	8.26583333333333	1.00212011111332	0.995972911085654
60	8.06	8.14125446161038	8.28	0.983243292465022	0.990019417524224
61	8.16	8.17486475239192	8.29416666666667	0.985616166268493	0.998181651581749
62	8.32	8.27404331559218	8.31166666666667	0.995473428785904	1.00555432001682
63	8.43	8.34514470966931	8.33416666666667	1.00131723343697	1.01016822275501
64	8.39	8.34517372522507	8.35833333333333	0.99842557031606	1.00537152086354
65	8.41	8.41805050647127	8.38375	1.00409130836097	0.999043661419579
66	8.45	8.47052644766181	8.40916666666667	1.00729677308435	0.997576721141402
67	8.43	8.49830727073098	8.43166666666667	1.007903609891	0.991962249827535
68	8.52	8.51806498431352	8.44666666666667	1.00845283950042	1.00022716610991
69	8.52	8.49430916909632	8.45458333333333	1.00469873371599	1.00302447560976
70	8.51	8.46567222159068	8.45416666666667	1.00136093306149	1.00523617939002
71	8.56	8.46749738886129	8.44958333333333	1.00212011111332	1.01092443338222
72	8.36	8.30676708250866	8.44833333333333	0.983243292465022	1.00640837969364
73	8.4	8.3264032379557	8.44791666666667	0.985616166268493	1.0088389620273
74	8.44	8.40677310609696	8.445	0.995473428785904	1.00395239570329
75	8.5	8.45070023469413	8.43958333333333	1.00131723343697	1.00583380831608
76	8.31	8.41547952580149	8.42875	0.99842557031606	0.987466011238207
77	8.38	8.44859161710058	8.41416666666667	1.00409130836097	0.99188129569883
78	8.45	8.46129289390854	8.4	1.00729677308435	0.998665346531536
79	8.42	NA	NA	1.007903609891	NA
80	8.46	NA	NA	1.00845283950042	NA
81	8.45	NA	NA	1.00469873371599	NA
82	8.32	NA	NA	1.00136093306149	NA
83	8.4	NA	NA	1.00212011111332	NA
84	8.18	NA	NA	0.983243292465022	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 8.29 & NA & NA & 0.985616166268493 & NA \tabularnewline
2 & 8.27 & NA & NA & 0.995473428785904 & NA \tabularnewline
3 & 8.27 & NA & NA & 1.00131723343697 & NA \tabularnewline
4 & 8.43 & NA & NA & 0.99842557031606 & NA \tabularnewline
5 & 8.46 & NA & NA & 1.00409130836097 & NA \tabularnewline
6 & 8.48 & NA & NA & 1.00729677308435 & NA \tabularnewline
7 & 8.46 & 8.45631128698552 & 8.39 & 1.007903609891 & 1.00043620828152 \tabularnewline
8 & 8.46 & 8.476046116001 & 8.405 & 1.00845283950042 & 0.998106886656656 \tabularnewline
9 & 8.43 & 8.46584270497437 & 8.42625 & 1.00469873371599 & 0.995766197622204 \tabularnewline
10 & 8.4 & 8.45273797620531 & 8.44125 & 1.00136093306149 & 0.993760841001606 \tabularnewline
11 & 8.38 & 8.47042023918537 & 8.4525 & 1.00212011111332 & 0.98932517671708 \tabularnewline
12 & 8.3 & 8.31905762366447 & 8.46083333333333 & 0.983243292465022 & 0.997709160757553 \tabularnewline
13 & 8.39 & 8.34200882725495 & 8.46375 & 0.985616166268493 & 1.00575295156584 \tabularnewline
14 & 8.53 & 8.42585301348202 & 8.46416666666667 & 0.995473428785904 & 1.01236040865552 \tabularnewline
15 & 8.52 & 8.46947493282107 & 8.45833333333333 & 1.00131723343697 & 1.00596554893659 \tabularnewline
16 & 8.54 & 8.43420000524492 & 8.4475 & 0.99842557031606 & 1.01254416479207 \tabularnewline
17 & 8.62 & 8.46909181464629 & 8.43458333333333 & 1.00409130836097 & 1.01781869752465 \tabularnewline
18 & 8.52 & 8.47766146647116 & 8.41625 & 1.00729677308435 & 1.0049941288286 \tabularnewline
19 & 8.49 & 8.45043184926116 & 8.38416666666667 & 1.007903609891 & 1.00468238208942 \tabularnewline
20 & 8.44 & 8.40461403986972 & 8.33416666666666 & 1.00845283950042 & 1.00421030162271 \tabularnewline
21 & 8.31 & 8.31597514386173 & 8.27708333333333 & 1.00469873371599 & 0.99928148608451 \tabularnewline
22 & 8.26 & 8.23118686976545 & 8.22 & 1.00136093306149 & 1.00350048306404 \tabularnewline
23 & 8.21 & 8.17730010668473 & 8.16 & 1.00212011111332 & 1.00399886183565 \tabularnewline
24 & 8.03 & 7.97205467836536 & 8.10791666666667 & 0.983243292465022 & 1.00726855546938 \tabularnewline
25 & 7.89 & 7.95351178838413 & 8.06958333333333 & 0.985616166268493 & 0.992014623216265 \tabularnewline
26 & 7.83 & 8.00236202565269 & 8.03875 & 0.995473428785904 & 0.978461106220868 \tabularnewline
27 & 7.85 & 8.02722648805307 & 8.01666666666667 & 1.00131723343697 & 0.97792182787955 \tabularnewline
28 & 7.84 & 7.98782057318278 & 8.00041666666667 & 0.99842557031606 & 0.981494254680801 \tabularnewline
29 & 7.88 & 8.01892421139779 & 7.98625 & 1.00409130836097 & 0.982675455243694 \tabularnewline
30 & 8.01 & 8.03487059330283 & 7.97666666666667 & 1.00729677308435 & 0.996904667845732 \tabularnewline
31 & 8.08 & 8.03887120855566 & 7.97583333333333 & 1.007903609891 & 1.00511623962834 \tabularnewline
32 & 8.11 & 8.05585743287583 & 7.98833333333333 & 1.00845283950042 & 1.00672089440203 \tabularnewline
33 & 8.11 & 8.04931135495461 & 8.01166666666666 & 1.00469873371599 & 1.00753960710043 \tabularnewline
34 & 8.07 & 8.05135913553649 & 8.04041666666667 & 1.00136093306149 & 1.00231524443882 \tabularnewline
35 & 8.06 & 8.08627419659193 & 8.06916666666667 & 1.00212011111332 & 0.996750766057005 \tabularnewline
36 & 7.95 & 7.95443823604202 & 8.09 & 0.983243292465022 & 0.999442042805498 \tabularnewline
37 & 7.95 & 7.98513364038524 & 8.10166666666667 & 0.985616166268493 & 0.99560011867459 \tabularnewline
38 & 8.07 & 8.07121560447705 & 8.10791666666667 & 0.995473428785904 & 0.999849390161703 \tabularnewline
39 & 8.17 & 8.12318605625745 & 8.1125 & 1.00131723343697 & 1.00576300276989 \tabularnewline
40 & 8.21 & 8.10638360965781 & 8.11916666666667 & 0.99842557031606 & 1.01278207340432 \tabularnewline
41 & 8.2 & 8.16200722283923 & 8.12875 & 1.00409130836097 & 1.00465483258266 \tabularnewline
42 & 8.19 & 8.19603807699633 & 8.13666666666667 & 1.00729677308435 & 0.999263293198542 \tabularnewline
43 & 8.18 & 8.20727510337496 & 8.14291666666667 & 1.007903609891 & 0.996676716324065 \tabularnewline
44 & 8.16 & 8.21805026456215 & 8.14916666666667 & 1.00845283950042 & 0.992936248539088 \tabularnewline
45 & 8.17 & 8.18871330425771 & 8.15041666666667 & 1.00469873371599 & 0.997714744238514 \tabularnewline
46 & 8.17 & 8.15858820211849 & 8.1475 & 1.00136093306149 & 1.00139874664572 \tabularnewline
47 & 8.19 & 8.16519115534211 & 8.14791666666667 & 1.00212011111332 & 1.00303836666967 \tabularnewline
48 & 8.01 & 8.01671031123148 & 8.15333333333333 & 0.983243292465022 & 0.99916295949698 \tabularnewline
49 & 8.04 & 8.04303859015351 & 8.16041666666666 & 0.985616166268493 & 0.999622208681526 \tabularnewline
50 & 8.13 & 8.13135879079953 & 8.16833333333333 & 0.995473428785904 & 0.99983289498908 \tabularnewline
51 & 8.14 & 8.18618559886119 & 8.17541666666667 & 1.00131723343697 & 0.994358105090164 \tabularnewline
52 & 8.17 & 8.16712116518537 & 8.18 & 0.99842557031606 & 1.00035249076834 \tabularnewline
53 & 8.25 & 8.21765061617756 & 8.18416666666667 & 1.00409130836097 & 1.00393657327786 \tabularnewline
54 & 8.27 & 8.24850145059447 & 8.18875 & 1.00729677308435 & 1.00260635820146 \tabularnewline
55 & 8.27 & 8.26061000273169 & 8.19583333333333 & 1.007903609891 & 1.0011367195964 \tabularnewline
56 & 8.26 & 8.27813724624905 & 8.20875 & 1.00845283950042 & 0.997809018416883 \tabularnewline
57 & 8.24 & 8.26741470506546 & 8.22875 & 1.00469873371599 & 0.996684005091862 \tabularnewline
58 & 8.21 & 8.2612276977573 & 8.25 & 1.00136093306149 & 0.993799021207078 \tabularnewline
59 & 8.25 & 8.28335781844422 & 8.26583333333333 & 1.00212011111332 & 0.995972911085654 \tabularnewline
60 & 8.06 & 8.14125446161038 & 8.28 & 0.983243292465022 & 0.990019417524224 \tabularnewline
61 & 8.16 & 8.17486475239192 & 8.29416666666667 & 0.985616166268493 & 0.998181651581749 \tabularnewline
62 & 8.32 & 8.27404331559218 & 8.31166666666667 & 0.995473428785904 & 1.00555432001682 \tabularnewline
63 & 8.43 & 8.34514470966931 & 8.33416666666667 & 1.00131723343697 & 1.01016822275501 \tabularnewline
64 & 8.39 & 8.34517372522507 & 8.35833333333333 & 0.99842557031606 & 1.00537152086354 \tabularnewline
65 & 8.41 & 8.41805050647127 & 8.38375 & 1.00409130836097 & 0.999043661419579 \tabularnewline
66 & 8.45 & 8.47052644766181 & 8.40916666666667 & 1.00729677308435 & 0.997576721141402 \tabularnewline
67 & 8.43 & 8.49830727073098 & 8.43166666666667 & 1.007903609891 & 0.991962249827535 \tabularnewline
68 & 8.52 & 8.51806498431352 & 8.44666666666667 & 1.00845283950042 & 1.00022716610991 \tabularnewline
69 & 8.52 & 8.49430916909632 & 8.45458333333333 & 1.00469873371599 & 1.00302447560976 \tabularnewline
70 & 8.51 & 8.46567222159068 & 8.45416666666667 & 1.00136093306149 & 1.00523617939002 \tabularnewline
71 & 8.56 & 8.46749738886129 & 8.44958333333333 & 1.00212011111332 & 1.01092443338222 \tabularnewline
72 & 8.36 & 8.30676708250866 & 8.44833333333333 & 0.983243292465022 & 1.00640837969364 \tabularnewline
73 & 8.4 & 8.3264032379557 & 8.44791666666667 & 0.985616166268493 & 1.0088389620273 \tabularnewline
74 & 8.44 & 8.40677310609696 & 8.445 & 0.995473428785904 & 1.00395239570329 \tabularnewline
75 & 8.5 & 8.45070023469413 & 8.43958333333333 & 1.00131723343697 & 1.00583380831608 \tabularnewline
76 & 8.31 & 8.41547952580149 & 8.42875 & 0.99842557031606 & 0.987466011238207 \tabularnewline
77 & 8.38 & 8.44859161710058 & 8.41416666666667 & 1.00409130836097 & 0.99188129569883 \tabularnewline
78 & 8.45 & 8.46129289390854 & 8.4 & 1.00729677308435 & 0.998665346531536 \tabularnewline
79 & 8.42 & NA & NA & 1.007903609891 & NA \tabularnewline
80 & 8.46 & NA & NA & 1.00845283950042 & NA \tabularnewline
81 & 8.45 & NA & NA & 1.00469873371599 & NA \tabularnewline
82 & 8.32 & NA & NA & 1.00136093306149 & NA \tabularnewline
83 & 8.4 & NA & NA & 1.00212011111332 & NA \tabularnewline
84 & 8.18 & NA & NA & 0.983243292465022 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152759&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]8.29[/C][C]NA[/C][C]NA[/C][C]0.985616166268493[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]8.27[/C][C]NA[/C][C]NA[/C][C]0.995473428785904[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8.27[/C][C]NA[/C][C]NA[/C][C]1.00131723343697[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]8.43[/C][C]NA[/C][C]NA[/C][C]0.99842557031606[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]8.46[/C][C]NA[/C][C]NA[/C][C]1.00409130836097[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]8.48[/C][C]NA[/C][C]NA[/C][C]1.00729677308435[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]8.46[/C][C]8.45631128698552[/C][C]8.39[/C][C]1.007903609891[/C][C]1.00043620828152[/C][/ROW]
[ROW][C]8[/C][C]8.46[/C][C]8.476046116001[/C][C]8.405[/C][C]1.00845283950042[/C][C]0.998106886656656[/C][/ROW]
[ROW][C]9[/C][C]8.43[/C][C]8.46584270497437[/C][C]8.42625[/C][C]1.00469873371599[/C][C]0.995766197622204[/C][/ROW]
[ROW][C]10[/C][C]8.4[/C][C]8.45273797620531[/C][C]8.44125[/C][C]1.00136093306149[/C][C]0.993760841001606[/C][/ROW]
[ROW][C]11[/C][C]8.38[/C][C]8.47042023918537[/C][C]8.4525[/C][C]1.00212011111332[/C][C]0.98932517671708[/C][/ROW]
[ROW][C]12[/C][C]8.3[/C][C]8.31905762366447[/C][C]8.46083333333333[/C][C]0.983243292465022[/C][C]0.997709160757553[/C][/ROW]
[ROW][C]13[/C][C]8.39[/C][C]8.34200882725495[/C][C]8.46375[/C][C]0.985616166268493[/C][C]1.00575295156584[/C][/ROW]
[ROW][C]14[/C][C]8.53[/C][C]8.42585301348202[/C][C]8.46416666666667[/C][C]0.995473428785904[/C][C]1.01236040865552[/C][/ROW]
[ROW][C]15[/C][C]8.52[/C][C]8.46947493282107[/C][C]8.45833333333333[/C][C]1.00131723343697[/C][C]1.00596554893659[/C][/ROW]
[ROW][C]16[/C][C]8.54[/C][C]8.43420000524492[/C][C]8.4475[/C][C]0.99842557031606[/C][C]1.01254416479207[/C][/ROW]
[ROW][C]17[/C][C]8.62[/C][C]8.46909181464629[/C][C]8.43458333333333[/C][C]1.00409130836097[/C][C]1.01781869752465[/C][/ROW]
[ROW][C]18[/C][C]8.52[/C][C]8.47766146647116[/C][C]8.41625[/C][C]1.00729677308435[/C][C]1.0049941288286[/C][/ROW]
[ROW][C]19[/C][C]8.49[/C][C]8.45043184926116[/C][C]8.38416666666667[/C][C]1.007903609891[/C][C]1.00468238208942[/C][/ROW]
[ROW][C]20[/C][C]8.44[/C][C]8.40461403986972[/C][C]8.33416666666666[/C][C]1.00845283950042[/C][C]1.00421030162271[/C][/ROW]
[ROW][C]21[/C][C]8.31[/C][C]8.31597514386173[/C][C]8.27708333333333[/C][C]1.00469873371599[/C][C]0.99928148608451[/C][/ROW]
[ROW][C]22[/C][C]8.26[/C][C]8.23118686976545[/C][C]8.22[/C][C]1.00136093306149[/C][C]1.00350048306404[/C][/ROW]
[ROW][C]23[/C][C]8.21[/C][C]8.17730010668473[/C][C]8.16[/C][C]1.00212011111332[/C][C]1.00399886183565[/C][/ROW]
[ROW][C]24[/C][C]8.03[/C][C]7.97205467836536[/C][C]8.10791666666667[/C][C]0.983243292465022[/C][C]1.00726855546938[/C][/ROW]
[ROW][C]25[/C][C]7.89[/C][C]7.95351178838413[/C][C]8.06958333333333[/C][C]0.985616166268493[/C][C]0.992014623216265[/C][/ROW]
[ROW][C]26[/C][C]7.83[/C][C]8.00236202565269[/C][C]8.03875[/C][C]0.995473428785904[/C][C]0.978461106220868[/C][/ROW]
[ROW][C]27[/C][C]7.85[/C][C]8.02722648805307[/C][C]8.01666666666667[/C][C]1.00131723343697[/C][C]0.97792182787955[/C][/ROW]
[ROW][C]28[/C][C]7.84[/C][C]7.98782057318278[/C][C]8.00041666666667[/C][C]0.99842557031606[/C][C]0.981494254680801[/C][/ROW]
[ROW][C]29[/C][C]7.88[/C][C]8.01892421139779[/C][C]7.98625[/C][C]1.00409130836097[/C][C]0.982675455243694[/C][/ROW]
[ROW][C]30[/C][C]8.01[/C][C]8.03487059330283[/C][C]7.97666666666667[/C][C]1.00729677308435[/C][C]0.996904667845732[/C][/ROW]
[ROW][C]31[/C][C]8.08[/C][C]8.03887120855566[/C][C]7.97583333333333[/C][C]1.007903609891[/C][C]1.00511623962834[/C][/ROW]
[ROW][C]32[/C][C]8.11[/C][C]8.05585743287583[/C][C]7.98833333333333[/C][C]1.00845283950042[/C][C]1.00672089440203[/C][/ROW]
[ROW][C]33[/C][C]8.11[/C][C]8.04931135495461[/C][C]8.01166666666666[/C][C]1.00469873371599[/C][C]1.00753960710043[/C][/ROW]
[ROW][C]34[/C][C]8.07[/C][C]8.05135913553649[/C][C]8.04041666666667[/C][C]1.00136093306149[/C][C]1.00231524443882[/C][/ROW]
[ROW][C]35[/C][C]8.06[/C][C]8.08627419659193[/C][C]8.06916666666667[/C][C]1.00212011111332[/C][C]0.996750766057005[/C][/ROW]
[ROW][C]36[/C][C]7.95[/C][C]7.95443823604202[/C][C]8.09[/C][C]0.983243292465022[/C][C]0.999442042805498[/C][/ROW]
[ROW][C]37[/C][C]7.95[/C][C]7.98513364038524[/C][C]8.10166666666667[/C][C]0.985616166268493[/C][C]0.99560011867459[/C][/ROW]
[ROW][C]38[/C][C]8.07[/C][C]8.07121560447705[/C][C]8.10791666666667[/C][C]0.995473428785904[/C][C]0.999849390161703[/C][/ROW]
[ROW][C]39[/C][C]8.17[/C][C]8.12318605625745[/C][C]8.1125[/C][C]1.00131723343697[/C][C]1.00576300276989[/C][/ROW]
[ROW][C]40[/C][C]8.21[/C][C]8.10638360965781[/C][C]8.11916666666667[/C][C]0.99842557031606[/C][C]1.01278207340432[/C][/ROW]
[ROW][C]41[/C][C]8.2[/C][C]8.16200722283923[/C][C]8.12875[/C][C]1.00409130836097[/C][C]1.00465483258266[/C][/ROW]
[ROW][C]42[/C][C]8.19[/C][C]8.19603807699633[/C][C]8.13666666666667[/C][C]1.00729677308435[/C][C]0.999263293198542[/C][/ROW]
[ROW][C]43[/C][C]8.18[/C][C]8.20727510337496[/C][C]8.14291666666667[/C][C]1.007903609891[/C][C]0.996676716324065[/C][/ROW]
[ROW][C]44[/C][C]8.16[/C][C]8.21805026456215[/C][C]8.14916666666667[/C][C]1.00845283950042[/C][C]0.992936248539088[/C][/ROW]
[ROW][C]45[/C][C]8.17[/C][C]8.18871330425771[/C][C]8.15041666666667[/C][C]1.00469873371599[/C][C]0.997714744238514[/C][/ROW]
[ROW][C]46[/C][C]8.17[/C][C]8.15858820211849[/C][C]8.1475[/C][C]1.00136093306149[/C][C]1.00139874664572[/C][/ROW]
[ROW][C]47[/C][C]8.19[/C][C]8.16519115534211[/C][C]8.14791666666667[/C][C]1.00212011111332[/C][C]1.00303836666967[/C][/ROW]
[ROW][C]48[/C][C]8.01[/C][C]8.01671031123148[/C][C]8.15333333333333[/C][C]0.983243292465022[/C][C]0.99916295949698[/C][/ROW]
[ROW][C]49[/C][C]8.04[/C][C]8.04303859015351[/C][C]8.16041666666666[/C][C]0.985616166268493[/C][C]0.999622208681526[/C][/ROW]
[ROW][C]50[/C][C]8.13[/C][C]8.13135879079953[/C][C]8.16833333333333[/C][C]0.995473428785904[/C][C]0.99983289498908[/C][/ROW]
[ROW][C]51[/C][C]8.14[/C][C]8.18618559886119[/C][C]8.17541666666667[/C][C]1.00131723343697[/C][C]0.994358105090164[/C][/ROW]
[ROW][C]52[/C][C]8.17[/C][C]8.16712116518537[/C][C]8.18[/C][C]0.99842557031606[/C][C]1.00035249076834[/C][/ROW]
[ROW][C]53[/C][C]8.25[/C][C]8.21765061617756[/C][C]8.18416666666667[/C][C]1.00409130836097[/C][C]1.00393657327786[/C][/ROW]
[ROW][C]54[/C][C]8.27[/C][C]8.24850145059447[/C][C]8.18875[/C][C]1.00729677308435[/C][C]1.00260635820146[/C][/ROW]
[ROW][C]55[/C][C]8.27[/C][C]8.26061000273169[/C][C]8.19583333333333[/C][C]1.007903609891[/C][C]1.0011367195964[/C][/ROW]
[ROW][C]56[/C][C]8.26[/C][C]8.27813724624905[/C][C]8.20875[/C][C]1.00845283950042[/C][C]0.997809018416883[/C][/ROW]
[ROW][C]57[/C][C]8.24[/C][C]8.26741470506546[/C][C]8.22875[/C][C]1.00469873371599[/C][C]0.996684005091862[/C][/ROW]
[ROW][C]58[/C][C]8.21[/C][C]8.2612276977573[/C][C]8.25[/C][C]1.00136093306149[/C][C]0.993799021207078[/C][/ROW]
[ROW][C]59[/C][C]8.25[/C][C]8.28335781844422[/C][C]8.26583333333333[/C][C]1.00212011111332[/C][C]0.995972911085654[/C][/ROW]
[ROW][C]60[/C][C]8.06[/C][C]8.14125446161038[/C][C]8.28[/C][C]0.983243292465022[/C][C]0.990019417524224[/C][/ROW]
[ROW][C]61[/C][C]8.16[/C][C]8.17486475239192[/C][C]8.29416666666667[/C][C]0.985616166268493[/C][C]0.998181651581749[/C][/ROW]
[ROW][C]62[/C][C]8.32[/C][C]8.27404331559218[/C][C]8.31166666666667[/C][C]0.995473428785904[/C][C]1.00555432001682[/C][/ROW]
[ROW][C]63[/C][C]8.43[/C][C]8.34514470966931[/C][C]8.33416666666667[/C][C]1.00131723343697[/C][C]1.01016822275501[/C][/ROW]
[ROW][C]64[/C][C]8.39[/C][C]8.34517372522507[/C][C]8.35833333333333[/C][C]0.99842557031606[/C][C]1.00537152086354[/C][/ROW]
[ROW][C]65[/C][C]8.41[/C][C]8.41805050647127[/C][C]8.38375[/C][C]1.00409130836097[/C][C]0.999043661419579[/C][/ROW]
[ROW][C]66[/C][C]8.45[/C][C]8.47052644766181[/C][C]8.40916666666667[/C][C]1.00729677308435[/C][C]0.997576721141402[/C][/ROW]
[ROW][C]67[/C][C]8.43[/C][C]8.49830727073098[/C][C]8.43166666666667[/C][C]1.007903609891[/C][C]0.991962249827535[/C][/ROW]
[ROW][C]68[/C][C]8.52[/C][C]8.51806498431352[/C][C]8.44666666666667[/C][C]1.00845283950042[/C][C]1.00022716610991[/C][/ROW]
[ROW][C]69[/C][C]8.52[/C][C]8.49430916909632[/C][C]8.45458333333333[/C][C]1.00469873371599[/C][C]1.00302447560976[/C][/ROW]
[ROW][C]70[/C][C]8.51[/C][C]8.46567222159068[/C][C]8.45416666666667[/C][C]1.00136093306149[/C][C]1.00523617939002[/C][/ROW]
[ROW][C]71[/C][C]8.56[/C][C]8.46749738886129[/C][C]8.44958333333333[/C][C]1.00212011111332[/C][C]1.01092443338222[/C][/ROW]
[ROW][C]72[/C][C]8.36[/C][C]8.30676708250866[/C][C]8.44833333333333[/C][C]0.983243292465022[/C][C]1.00640837969364[/C][/ROW]
[ROW][C]73[/C][C]8.4[/C][C]8.3264032379557[/C][C]8.44791666666667[/C][C]0.985616166268493[/C][C]1.0088389620273[/C][/ROW]
[ROW][C]74[/C][C]8.44[/C][C]8.40677310609696[/C][C]8.445[/C][C]0.995473428785904[/C][C]1.00395239570329[/C][/ROW]
[ROW][C]75[/C][C]8.5[/C][C]8.45070023469413[/C][C]8.43958333333333[/C][C]1.00131723343697[/C][C]1.00583380831608[/C][/ROW]
[ROW][C]76[/C][C]8.31[/C][C]8.41547952580149[/C][C]8.42875[/C][C]0.99842557031606[/C][C]0.987466011238207[/C][/ROW]
[ROW][C]77[/C][C]8.38[/C][C]8.44859161710058[/C][C]8.41416666666667[/C][C]1.00409130836097[/C][C]0.99188129569883[/C][/ROW]
[ROW][C]78[/C][C]8.45[/C][C]8.46129289390854[/C][C]8.4[/C][C]1.00729677308435[/C][C]0.998665346531536[/C][/ROW]
[ROW][C]79[/C][C]8.42[/C][C]NA[/C][C]NA[/C][C]1.007903609891[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]8.46[/C][C]NA[/C][C]NA[/C][C]1.00845283950042[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]8.45[/C][C]NA[/C][C]NA[/C][C]1.00469873371599[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]8.32[/C][C]NA[/C][C]NA[/C][C]1.00136093306149[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]8.4[/C][C]NA[/C][C]NA[/C][C]1.00212011111332[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]8.18[/C][C]NA[/C][C]NA[/C][C]0.983243292465022[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152759&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152759&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	8.29	NA	NA	0.985616166268493	NA
2	8.27	NA	NA	0.995473428785904	NA
3	8.27	NA	NA	1.00131723343697	NA
4	8.43	NA	NA	0.99842557031606	NA
5	8.46	NA	NA	1.00409130836097	NA
6	8.48	NA	NA	1.00729677308435	NA
7	8.46	8.45631128698552	8.39	1.007903609891	1.00043620828152
8	8.46	8.476046116001	8.405	1.00845283950042	0.998106886656656
9	8.43	8.46584270497437	8.42625	1.00469873371599	0.995766197622204
10	8.4	8.45273797620531	8.44125	1.00136093306149	0.993760841001606
11	8.38	8.47042023918537	8.4525	1.00212011111332	0.98932517671708
12	8.3	8.31905762366447	8.46083333333333	0.983243292465022	0.997709160757553
13	8.39	8.34200882725495	8.46375	0.985616166268493	1.00575295156584
14	8.53	8.42585301348202	8.46416666666667	0.995473428785904	1.01236040865552
15	8.52	8.46947493282107	8.45833333333333	1.00131723343697	1.00596554893659
16	8.54	8.43420000524492	8.4475	0.99842557031606	1.01254416479207
17	8.62	8.46909181464629	8.43458333333333	1.00409130836097	1.01781869752465
18	8.52	8.47766146647116	8.41625	1.00729677308435	1.0049941288286
19	8.49	8.45043184926116	8.38416666666667	1.007903609891	1.00468238208942
20	8.44	8.40461403986972	8.33416666666666	1.00845283950042	1.00421030162271
21	8.31	8.31597514386173	8.27708333333333	1.00469873371599	0.99928148608451
22	8.26	8.23118686976545	8.22	1.00136093306149	1.00350048306404
23	8.21	8.17730010668473	8.16	1.00212011111332	1.00399886183565
24	8.03	7.97205467836536	8.10791666666667	0.983243292465022	1.00726855546938
25	7.89	7.95351178838413	8.06958333333333	0.985616166268493	0.992014623216265
26	7.83	8.00236202565269	8.03875	0.995473428785904	0.978461106220868
27	7.85	8.02722648805307	8.01666666666667	1.00131723343697	0.97792182787955
28	7.84	7.98782057318278	8.00041666666667	0.99842557031606	0.981494254680801
29	7.88	8.01892421139779	7.98625	1.00409130836097	0.982675455243694
30	8.01	8.03487059330283	7.97666666666667	1.00729677308435	0.996904667845732
31	8.08	8.03887120855566	7.97583333333333	1.007903609891	1.00511623962834
32	8.11	8.05585743287583	7.98833333333333	1.00845283950042	1.00672089440203
33	8.11	8.04931135495461	8.01166666666666	1.00469873371599	1.00753960710043
34	8.07	8.05135913553649	8.04041666666667	1.00136093306149	1.00231524443882
35	8.06	8.08627419659193	8.06916666666667	1.00212011111332	0.996750766057005
36	7.95	7.95443823604202	8.09	0.983243292465022	0.999442042805498
37	7.95	7.98513364038524	8.10166666666667	0.985616166268493	0.99560011867459
38	8.07	8.07121560447705	8.10791666666667	0.995473428785904	0.999849390161703
39	8.17	8.12318605625745	8.1125	1.00131723343697	1.00576300276989
40	8.21	8.10638360965781	8.11916666666667	0.99842557031606	1.01278207340432
41	8.2	8.16200722283923	8.12875	1.00409130836097	1.00465483258266
42	8.19	8.19603807699633	8.13666666666667	1.00729677308435	0.999263293198542
43	8.18	8.20727510337496	8.14291666666667	1.007903609891	0.996676716324065
44	8.16	8.21805026456215	8.14916666666667	1.00845283950042	0.992936248539088
45	8.17	8.18871330425771	8.15041666666667	1.00469873371599	0.997714744238514
46	8.17	8.15858820211849	8.1475	1.00136093306149	1.00139874664572
47	8.19	8.16519115534211	8.14791666666667	1.00212011111332	1.00303836666967
48	8.01	8.01671031123148	8.15333333333333	0.983243292465022	0.99916295949698
49	8.04	8.04303859015351	8.16041666666666	0.985616166268493	0.999622208681526
50	8.13	8.13135879079953	8.16833333333333	0.995473428785904	0.99983289498908
51	8.14	8.18618559886119	8.17541666666667	1.00131723343697	0.994358105090164
52	8.17	8.16712116518537	8.18	0.99842557031606	1.00035249076834
53	8.25	8.21765061617756	8.18416666666667	1.00409130836097	1.00393657327786
54	8.27	8.24850145059447	8.18875	1.00729677308435	1.00260635820146
55	8.27	8.26061000273169	8.19583333333333	1.007903609891	1.0011367195964
56	8.26	8.27813724624905	8.20875	1.00845283950042	0.997809018416883
57	8.24	8.26741470506546	8.22875	1.00469873371599	0.996684005091862
58	8.21	8.2612276977573	8.25	1.00136093306149	0.993799021207078
59	8.25	8.28335781844422	8.26583333333333	1.00212011111332	0.995972911085654
60	8.06	8.14125446161038	8.28	0.983243292465022	0.990019417524224
61	8.16	8.17486475239192	8.29416666666667	0.985616166268493	0.998181651581749
62	8.32	8.27404331559218	8.31166666666667	0.995473428785904	1.00555432001682
63	8.43	8.34514470966931	8.33416666666667	1.00131723343697	1.01016822275501
64	8.39	8.34517372522507	8.35833333333333	0.99842557031606	1.00537152086354
65	8.41	8.41805050647127	8.38375	1.00409130836097	0.999043661419579
66	8.45	8.47052644766181	8.40916666666667	1.00729677308435	0.997576721141402
67	8.43	8.49830727073098	8.43166666666667	1.007903609891	0.991962249827535
68	8.52	8.51806498431352	8.44666666666667	1.00845283950042	1.00022716610991
69	8.52	8.49430916909632	8.45458333333333	1.00469873371599	1.00302447560976
70	8.51	8.46567222159068	8.45416666666667	1.00136093306149	1.00523617939002
71	8.56	8.46749738886129	8.44958333333333	1.00212011111332	1.01092443338222
72	8.36	8.30676708250866	8.44833333333333	0.983243292465022	1.00640837969364
73	8.4	8.3264032379557	8.44791666666667	0.985616166268493	1.0088389620273
74	8.44	8.40677310609696	8.445	0.995473428785904	1.00395239570329
75	8.5	8.45070023469413	8.43958333333333	1.00131723343697	1.00583380831608
76	8.31	8.41547952580149	8.42875	0.99842557031606	0.987466011238207
77	8.38	8.44859161710058	8.41416666666667	1.00409130836097	0.99188129569883
78	8.45	8.46129289390854	8.4	1.00729677308435	0.998665346531536
79	8.42	NA	NA	1.007903609891	NA
80	8.46	NA	NA	1.00845283950042	NA
81	8.45	NA	NA	1.00469873371599	NA
82	8.32	NA	NA	1.00136093306149	NA
83	8.4	NA	NA	1.00212011111332	NA
84	8.18	NA	NA	0.983243292465022	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