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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 12 Dec 2010 21:00:37 +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/12/t1292187636d46tc70ef9rfuf0.htm/, Retrieved Wed, 08 May 2024 02:06:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108681, Retrieved Wed, 08 May 2024 02:06:30 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

103

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

-       [Classical Decomposition] [opgave9_deel2] [2010-12-12 21:00:37] [ba6a6eaac02e80e5d4f1379a58894c63] [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	'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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108681&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108681&T=0

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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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	43.8	NA	NA	0.071863425925925	NA
2	43.4	NA	NA	0.196724537037038	NA
3	43.3	NA	NA	0.162835648148149	NA
4	42.8	NA	NA	0.156863425925926	NA
5	41.6	NA	NA	0.266724537037039	NA
6	41.5	NA	NA	-0.256192129629629	NA
7	40.7	41.1049189814815	41.175	-0.07008101851852	-0.40491898148148
8	40.6	40.691724537037	40.825	-0.133275462962963	-0.091724537037031
9	39.9	40.2456134259259	40.4916666666667	-0.246053240740741	-0.345613425925926
10	39.7	40.0470023148148	40.1704166666667	-0.123414351851853	-0.347002314814809
11	39.6	39.8301967592593	39.9033333333333	-0.073136574074074	-0.230196759259258
12	39.4	39.725474537037	39.6783333333333	0.0471412037037034	-0.325474537037039
13	39.4	39.5585300925926	39.4866666666667	0.071863425925925	-0.158530092592592
14	39.4	39.5250578703704	39.3283333333333	0.196724537037038	-0.12505787037037
15	39.3	39.3578356481481	39.195	0.162835648148149	-0.057835648148135
16	39.09	39.2435300925926	39.0866666666667	0.156863425925926	-0.153530092592582
17	38.9	39.249224537037	38.9825	0.266724537037039	-0.349224537037038
18	38.8	38.6346412037037	38.8908333333333	-0.256192129629629	0.165358796296296
19	38.8	38.7124189814815	38.7825	-0.07008101851852	0.0875810185185202
20	38.7	38.511724537037	38.645	-0.133275462962963	0.188275462962963
21	38.6	38.2614467592593	38.5075	-0.246053240740741	0.338553240740737
22	38.4	38.2511689814815	38.3745833333333	-0.123414351851853	0.148831018518521
23	38.4	38.1768634259259	38.25	-0.073136574074074	0.223136574074076
24	38.4	38.184224537037	38.1370833333333	0.0471412037037034	0.215775462962966
25	37.8	38.0918634259259	38.02	0.071863425925925	-0.291863425925925
26	37.7	38.091724537037	37.895	0.196724537037038	-0.391724537037028
27	37.7	37.9328356481481	37.77	0.162835648148149	-0.232835648148146
28	37.5	37.8101967592593	37.6533333333333	0.156863425925926	-0.310196759259263
29	37.5	37.8000578703704	37.5333333333333	0.266724537037039	-0.300057870370381
30	37.49	37.1421412037037	37.3983333333333	-0.256192129629629	0.3478587962963
31	37.3	37.2132523148148	37.2833333333333	-0.07008101851852	0.0867476851851805
32	37.2	37.0583912037037	37.1916666666667	-0.133275462962963	0.141608796296296
33	37.1	36.8539467592593	37.1	-0.246053240740741	0.246053240740743
34	37.1	36.8807523148148	37.0041666666667	-0.123414351851853	0.219247685185181
35	36.82	36.8268634259259	36.9	-0.073136574074074	-0.00686342592592837
36	36.74	36.826724537037	36.7795833333333	0.0471412037037034	-0.0867245370370426
37	36.7	36.7268634259259	36.655	0.071863425925925	-0.0268634259259315
38	36.6	36.7183912037037	36.5216666666667	0.196724537037038	-0.118391203703702
39	36.6	36.5095023148148	36.3466666666667	0.162835648148149	0.0904976851851842
40	36.3	36.3035300925926	36.1466666666667	0.156863425925926	-0.00353009259259807
41	36.2	36.2121412037037	35.9454166666667	0.266724537037039	-0.012141203703699
42	35.9	35.4863078703704	35.7425	-0.256192129629629	0.413692129629631
43	35.9	35.4707523148148	35.5408333333333	-0.07008101851852	0.429247685185189
44	35.4	35.2075578703704	35.3408333333333	-0.133275462962963	0.192442129629633
45	34.7	34.8614467592593	35.1075	-0.246053240740741	-0.161446759259249
46	34.7	34.7203356481481	34.84375	-0.123414351851853	-0.0203356481481407
47	34.39	34.5068634259259	34.58	-0.073136574074074	-0.116863425925914
48	34.3	34.3646412037037	34.3175	0.0471412037037034	-0.064641203703701
49	34.3	34.1268634259259	34.055	0.071863425925925	0.173136574074071
50	34.2	33.976724537037	33.78	0.196724537037038	0.223275462962967
51	33.4	33.6803356481482	33.5175	0.162835648148149	-0.280335648148153
52	33.17	33.4326967592593	33.2758333333333	0.156863425925926	-0.262696759259264
53	33	33.3096412037037	33.0429166666667	0.266724537037039	-0.309641203703706
54	32.8	32.5621412037037	32.8183333333333	-0.256192129629629	0.237858796296294
55	32.7	32.4974189814815	32.5675	-0.07008101851852	0.202581018518522
56	32	32.1500578703704	32.2833333333333	-0.133275462962963	-0.150057870370375
57	31.8	31.7664467592593	32.0125	-0.246053240740741	0.0335532407407371
58	31.8	31.6445023148148	31.7679166666667	-0.123414351851853	0.155497685185185
59	31.7	31.4560300925926	31.5291666666667	-0.073136574074074	0.243969907407404
60	31.6	31.3238078703704	31.2766666666667	0.0471412037037034	0.276192129629631
61	30.98	31.0818634259259	31.01	0.071863425925925	-0.101863425925924
62	30.7	30.9650578703704	30.7683333333333	0.196724537037038	-0.265057870370367
63	30.4	30.7186689814815	30.5558333333333	0.162835648148149	-0.31866898148148
64	30.3	30.5001967592593	30.3433333333333	0.156863425925926	-0.200196759259256
65	30.14	30.3933912037037	30.1266666666667	0.266724537037039	-0.253391203703703
66	29.6	29.6538078703704	29.91	-0.256192129629629	-0.0538078703703633
67	29.5	29.6490856481481	29.7191666666667	-0.07008101851852	-0.149085648148144
68	29.4	29.4283912037037	29.5616666666667	-0.133275462962963	-0.028391203703702
69	29.3	29.1589467592593	29.405	-0.246053240740741	0.141053240740742
70	29.2	29.1040856481481	29.2275	-0.123414351851853	0.095914351851853
71	29.1	28.9610300925926	29.0341666666667	-0.073136574074074	0.138969907407411
72	29	28.762974537037	28.7158333333333	0.0471412037037034	0.237025462962968
73	29	28.3418634259259	28.27	0.071863425925925	0.658136574074074
74	28.9	27.9708912037037	27.7741666666667	0.196724537037038	0.92910879629629
75	28.44	27.3886689814815	27.2258333333333	0.162835648148149	1.05133101851852
76	28	26.8176967592593	26.6608333333333	0.156863425925926	1.18230324074074
77	27.8	26.3233912037037	26.0566666666667	0.266724537037039	1.4766087962963
78	24.3	25.1588078703704	25.415	-0.256192129629629	-0.85880787037037
79	24.1	NA	NA	-0.07008101851852	NA
80	22.9	NA	NA	-0.133275462962963	NA
81	22.64	NA	NA	-0.246053240740741	NA
82	22.3	NA	NA	-0.123414351851853	NA
83	21.5	NA	NA	-0.073136574074074	NA
84	21.2	NA	NA	0.0471412037037034	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 43.8 & NA & NA & 0.071863425925925 & NA \tabularnewline
2 & 43.4 & NA & NA & 0.196724537037038 & NA \tabularnewline
3 & 43.3 & NA & NA & 0.162835648148149 & NA \tabularnewline
4 & 42.8 & NA & NA & 0.156863425925926 & NA \tabularnewline
5 & 41.6 & NA & NA & 0.266724537037039 & NA \tabularnewline
6 & 41.5 & NA & NA & -0.256192129629629 & NA \tabularnewline
7 & 40.7 & 41.1049189814815 & 41.175 & -0.07008101851852 & -0.40491898148148 \tabularnewline
8 & 40.6 & 40.691724537037 & 40.825 & -0.133275462962963 & -0.091724537037031 \tabularnewline
9 & 39.9 & 40.2456134259259 & 40.4916666666667 & -0.246053240740741 & -0.345613425925926 \tabularnewline
10 & 39.7 & 40.0470023148148 & 40.1704166666667 & -0.123414351851853 & -0.347002314814809 \tabularnewline
11 & 39.6 & 39.8301967592593 & 39.9033333333333 & -0.073136574074074 & -0.230196759259258 \tabularnewline
12 & 39.4 & 39.725474537037 & 39.6783333333333 & 0.0471412037037034 & -0.325474537037039 \tabularnewline
13 & 39.4 & 39.5585300925926 & 39.4866666666667 & 0.071863425925925 & -0.158530092592592 \tabularnewline
14 & 39.4 & 39.5250578703704 & 39.3283333333333 & 0.196724537037038 & -0.12505787037037 \tabularnewline
15 & 39.3 & 39.3578356481481 & 39.195 & 0.162835648148149 & -0.057835648148135 \tabularnewline
16 & 39.09 & 39.2435300925926 & 39.0866666666667 & 0.156863425925926 & -0.153530092592582 \tabularnewline
17 & 38.9 & 39.249224537037 & 38.9825 & 0.266724537037039 & -0.349224537037038 \tabularnewline
18 & 38.8 & 38.6346412037037 & 38.8908333333333 & -0.256192129629629 & 0.165358796296296 \tabularnewline
19 & 38.8 & 38.7124189814815 & 38.7825 & -0.07008101851852 & 0.0875810185185202 \tabularnewline
20 & 38.7 & 38.511724537037 & 38.645 & -0.133275462962963 & 0.188275462962963 \tabularnewline
21 & 38.6 & 38.2614467592593 & 38.5075 & -0.246053240740741 & 0.338553240740737 \tabularnewline
22 & 38.4 & 38.2511689814815 & 38.3745833333333 & -0.123414351851853 & 0.148831018518521 \tabularnewline
23 & 38.4 & 38.1768634259259 & 38.25 & -0.073136574074074 & 0.223136574074076 \tabularnewline
24 & 38.4 & 38.184224537037 & 38.1370833333333 & 0.0471412037037034 & 0.215775462962966 \tabularnewline
25 & 37.8 & 38.0918634259259 & 38.02 & 0.071863425925925 & -0.291863425925925 \tabularnewline
26 & 37.7 & 38.091724537037 & 37.895 & 0.196724537037038 & -0.391724537037028 \tabularnewline
27 & 37.7 & 37.9328356481481 & 37.77 & 0.162835648148149 & -0.232835648148146 \tabularnewline
28 & 37.5 & 37.8101967592593 & 37.6533333333333 & 0.156863425925926 & -0.310196759259263 \tabularnewline
29 & 37.5 & 37.8000578703704 & 37.5333333333333 & 0.266724537037039 & -0.300057870370381 \tabularnewline
30 & 37.49 & 37.1421412037037 & 37.3983333333333 & -0.256192129629629 & 0.3478587962963 \tabularnewline
31 & 37.3 & 37.2132523148148 & 37.2833333333333 & -0.07008101851852 & 0.0867476851851805 \tabularnewline
32 & 37.2 & 37.0583912037037 & 37.1916666666667 & -0.133275462962963 & 0.141608796296296 \tabularnewline
33 & 37.1 & 36.8539467592593 & 37.1 & -0.246053240740741 & 0.246053240740743 \tabularnewline
34 & 37.1 & 36.8807523148148 & 37.0041666666667 & -0.123414351851853 & 0.219247685185181 \tabularnewline
35 & 36.82 & 36.8268634259259 & 36.9 & -0.073136574074074 & -0.00686342592592837 \tabularnewline
36 & 36.74 & 36.826724537037 & 36.7795833333333 & 0.0471412037037034 & -0.0867245370370426 \tabularnewline
37 & 36.7 & 36.7268634259259 & 36.655 & 0.071863425925925 & -0.0268634259259315 \tabularnewline
38 & 36.6 & 36.7183912037037 & 36.5216666666667 & 0.196724537037038 & -0.118391203703702 \tabularnewline
39 & 36.6 & 36.5095023148148 & 36.3466666666667 & 0.162835648148149 & 0.0904976851851842 \tabularnewline
40 & 36.3 & 36.3035300925926 & 36.1466666666667 & 0.156863425925926 & -0.00353009259259807 \tabularnewline
41 & 36.2 & 36.2121412037037 & 35.9454166666667 & 0.266724537037039 & -0.012141203703699 \tabularnewline
42 & 35.9 & 35.4863078703704 & 35.7425 & -0.256192129629629 & 0.413692129629631 \tabularnewline
43 & 35.9 & 35.4707523148148 & 35.5408333333333 & -0.07008101851852 & 0.429247685185189 \tabularnewline
44 & 35.4 & 35.2075578703704 & 35.3408333333333 & -0.133275462962963 & 0.192442129629633 \tabularnewline
45 & 34.7 & 34.8614467592593 & 35.1075 & -0.246053240740741 & -0.161446759259249 \tabularnewline
46 & 34.7 & 34.7203356481481 & 34.84375 & -0.123414351851853 & -0.0203356481481407 \tabularnewline
47 & 34.39 & 34.5068634259259 & 34.58 & -0.073136574074074 & -0.116863425925914 \tabularnewline
48 & 34.3 & 34.3646412037037 & 34.3175 & 0.0471412037037034 & -0.064641203703701 \tabularnewline
49 & 34.3 & 34.1268634259259 & 34.055 & 0.071863425925925 & 0.173136574074071 \tabularnewline
50 & 34.2 & 33.976724537037 & 33.78 & 0.196724537037038 & 0.223275462962967 \tabularnewline
51 & 33.4 & 33.6803356481482 & 33.5175 & 0.162835648148149 & -0.280335648148153 \tabularnewline
52 & 33.17 & 33.4326967592593 & 33.2758333333333 & 0.156863425925926 & -0.262696759259264 \tabularnewline
53 & 33 & 33.3096412037037 & 33.0429166666667 & 0.266724537037039 & -0.309641203703706 \tabularnewline
54 & 32.8 & 32.5621412037037 & 32.8183333333333 & -0.256192129629629 & 0.237858796296294 \tabularnewline
55 & 32.7 & 32.4974189814815 & 32.5675 & -0.07008101851852 & 0.202581018518522 \tabularnewline
56 & 32 & 32.1500578703704 & 32.2833333333333 & -0.133275462962963 & -0.150057870370375 \tabularnewline
57 & 31.8 & 31.7664467592593 & 32.0125 & -0.246053240740741 & 0.0335532407407371 \tabularnewline
58 & 31.8 & 31.6445023148148 & 31.7679166666667 & -0.123414351851853 & 0.155497685185185 \tabularnewline
59 & 31.7 & 31.4560300925926 & 31.5291666666667 & -0.073136574074074 & 0.243969907407404 \tabularnewline
60 & 31.6 & 31.3238078703704 & 31.2766666666667 & 0.0471412037037034 & 0.276192129629631 \tabularnewline
61 & 30.98 & 31.0818634259259 & 31.01 & 0.071863425925925 & -0.101863425925924 \tabularnewline
62 & 30.7 & 30.9650578703704 & 30.7683333333333 & 0.196724537037038 & -0.265057870370367 \tabularnewline
63 & 30.4 & 30.7186689814815 & 30.5558333333333 & 0.162835648148149 & -0.31866898148148 \tabularnewline
64 & 30.3 & 30.5001967592593 & 30.3433333333333 & 0.156863425925926 & -0.200196759259256 \tabularnewline
65 & 30.14 & 30.3933912037037 & 30.1266666666667 & 0.266724537037039 & -0.253391203703703 \tabularnewline
66 & 29.6 & 29.6538078703704 & 29.91 & -0.256192129629629 & -0.0538078703703633 \tabularnewline
67 & 29.5 & 29.6490856481481 & 29.7191666666667 & -0.07008101851852 & -0.149085648148144 \tabularnewline
68 & 29.4 & 29.4283912037037 & 29.5616666666667 & -0.133275462962963 & -0.028391203703702 \tabularnewline
69 & 29.3 & 29.1589467592593 & 29.405 & -0.246053240740741 & 0.141053240740742 \tabularnewline
70 & 29.2 & 29.1040856481481 & 29.2275 & -0.123414351851853 & 0.095914351851853 \tabularnewline
71 & 29.1 & 28.9610300925926 & 29.0341666666667 & -0.073136574074074 & 0.138969907407411 \tabularnewline
72 & 29 & 28.762974537037 & 28.7158333333333 & 0.0471412037037034 & 0.237025462962968 \tabularnewline
73 & 29 & 28.3418634259259 & 28.27 & 0.071863425925925 & 0.658136574074074 \tabularnewline
74 & 28.9 & 27.9708912037037 & 27.7741666666667 & 0.196724537037038 & 0.92910879629629 \tabularnewline
75 & 28.44 & 27.3886689814815 & 27.2258333333333 & 0.162835648148149 & 1.05133101851852 \tabularnewline
76 & 28 & 26.8176967592593 & 26.6608333333333 & 0.156863425925926 & 1.18230324074074 \tabularnewline
77 & 27.8 & 26.3233912037037 & 26.0566666666667 & 0.266724537037039 & 1.4766087962963 \tabularnewline
78 & 24.3 & 25.1588078703704 & 25.415 & -0.256192129629629 & -0.85880787037037 \tabularnewline
79 & 24.1 & NA & NA & -0.07008101851852 & NA \tabularnewline
80 & 22.9 & NA & NA & -0.133275462962963 & NA \tabularnewline
81 & 22.64 & NA & NA & -0.246053240740741 & NA \tabularnewline
82 & 22.3 & NA & NA & -0.123414351851853 & NA \tabularnewline
83 & 21.5 & NA & NA & -0.073136574074074 & NA \tabularnewline
84 & 21.2 & NA & NA & 0.0471412037037034 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108681&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]43.8[/C][C]NA[/C][C]NA[/C][C]0.071863425925925[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]43.4[/C][C]NA[/C][C]NA[/C][C]0.196724537037038[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]43.3[/C][C]NA[/C][C]NA[/C][C]0.162835648148149[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]42.8[/C][C]NA[/C][C]NA[/C][C]0.156863425925926[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]41.6[/C][C]NA[/C][C]NA[/C][C]0.266724537037039[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]41.5[/C][C]NA[/C][C]NA[/C][C]-0.256192129629629[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]40.7[/C][C]41.1049189814815[/C][C]41.175[/C][C]-0.07008101851852[/C][C]-0.40491898148148[/C][/ROW]
[ROW][C]8[/C][C]40.6[/C][C]40.691724537037[/C][C]40.825[/C][C]-0.133275462962963[/C][C]-0.091724537037031[/C][/ROW]
[ROW][C]9[/C][C]39.9[/C][C]40.2456134259259[/C][C]40.4916666666667[/C][C]-0.246053240740741[/C][C]-0.345613425925926[/C][/ROW]
[ROW][C]10[/C][C]39.7[/C][C]40.0470023148148[/C][C]40.1704166666667[/C][C]-0.123414351851853[/C][C]-0.347002314814809[/C][/ROW]
[ROW][C]11[/C][C]39.6[/C][C]39.8301967592593[/C][C]39.9033333333333[/C][C]-0.073136574074074[/C][C]-0.230196759259258[/C][/ROW]
[ROW][C]12[/C][C]39.4[/C][C]39.725474537037[/C][C]39.6783333333333[/C][C]0.0471412037037034[/C][C]-0.325474537037039[/C][/ROW]
[ROW][C]13[/C][C]39.4[/C][C]39.5585300925926[/C][C]39.4866666666667[/C][C]0.071863425925925[/C][C]-0.158530092592592[/C][/ROW]
[ROW][C]14[/C][C]39.4[/C][C]39.5250578703704[/C][C]39.3283333333333[/C][C]0.196724537037038[/C][C]-0.12505787037037[/C][/ROW]
[ROW][C]15[/C][C]39.3[/C][C]39.3578356481481[/C][C]39.195[/C][C]0.162835648148149[/C][C]-0.057835648148135[/C][/ROW]
[ROW][C]16[/C][C]39.09[/C][C]39.2435300925926[/C][C]39.0866666666667[/C][C]0.156863425925926[/C][C]-0.153530092592582[/C][/ROW]
[ROW][C]17[/C][C]38.9[/C][C]39.249224537037[/C][C]38.9825[/C][C]0.266724537037039[/C][C]-0.349224537037038[/C][/ROW]
[ROW][C]18[/C][C]38.8[/C][C]38.6346412037037[/C][C]38.8908333333333[/C][C]-0.256192129629629[/C][C]0.165358796296296[/C][/ROW]
[ROW][C]19[/C][C]38.8[/C][C]38.7124189814815[/C][C]38.7825[/C][C]-0.07008101851852[/C][C]0.0875810185185202[/C][/ROW]
[ROW][C]20[/C][C]38.7[/C][C]38.511724537037[/C][C]38.645[/C][C]-0.133275462962963[/C][C]0.188275462962963[/C][/ROW]
[ROW][C]21[/C][C]38.6[/C][C]38.2614467592593[/C][C]38.5075[/C][C]-0.246053240740741[/C][C]0.338553240740737[/C][/ROW]
[ROW][C]22[/C][C]38.4[/C][C]38.2511689814815[/C][C]38.3745833333333[/C][C]-0.123414351851853[/C][C]0.148831018518521[/C][/ROW]
[ROW][C]23[/C][C]38.4[/C][C]38.1768634259259[/C][C]38.25[/C][C]-0.073136574074074[/C][C]0.223136574074076[/C][/ROW]
[ROW][C]24[/C][C]38.4[/C][C]38.184224537037[/C][C]38.1370833333333[/C][C]0.0471412037037034[/C][C]0.215775462962966[/C][/ROW]
[ROW][C]25[/C][C]37.8[/C][C]38.0918634259259[/C][C]38.02[/C][C]0.071863425925925[/C][C]-0.291863425925925[/C][/ROW]
[ROW][C]26[/C][C]37.7[/C][C]38.091724537037[/C][C]37.895[/C][C]0.196724537037038[/C][C]-0.391724537037028[/C][/ROW]
[ROW][C]27[/C][C]37.7[/C][C]37.9328356481481[/C][C]37.77[/C][C]0.162835648148149[/C][C]-0.232835648148146[/C][/ROW]
[ROW][C]28[/C][C]37.5[/C][C]37.8101967592593[/C][C]37.6533333333333[/C][C]0.156863425925926[/C][C]-0.310196759259263[/C][/ROW]
[ROW][C]29[/C][C]37.5[/C][C]37.8000578703704[/C][C]37.5333333333333[/C][C]0.266724537037039[/C][C]-0.300057870370381[/C][/ROW]
[ROW][C]30[/C][C]37.49[/C][C]37.1421412037037[/C][C]37.3983333333333[/C][C]-0.256192129629629[/C][C]0.3478587962963[/C][/ROW]
[ROW][C]31[/C][C]37.3[/C][C]37.2132523148148[/C][C]37.2833333333333[/C][C]-0.07008101851852[/C][C]0.0867476851851805[/C][/ROW]
[ROW][C]32[/C][C]37.2[/C][C]37.0583912037037[/C][C]37.1916666666667[/C][C]-0.133275462962963[/C][C]0.141608796296296[/C][/ROW]
[ROW][C]33[/C][C]37.1[/C][C]36.8539467592593[/C][C]37.1[/C][C]-0.246053240740741[/C][C]0.246053240740743[/C][/ROW]
[ROW][C]34[/C][C]37.1[/C][C]36.8807523148148[/C][C]37.0041666666667[/C][C]-0.123414351851853[/C][C]0.219247685185181[/C][/ROW]
[ROW][C]35[/C][C]36.82[/C][C]36.8268634259259[/C][C]36.9[/C][C]-0.073136574074074[/C][C]-0.00686342592592837[/C][/ROW]
[ROW][C]36[/C][C]36.74[/C][C]36.826724537037[/C][C]36.7795833333333[/C][C]0.0471412037037034[/C][C]-0.0867245370370426[/C][/ROW]
[ROW][C]37[/C][C]36.7[/C][C]36.7268634259259[/C][C]36.655[/C][C]0.071863425925925[/C][C]-0.0268634259259315[/C][/ROW]
[ROW][C]38[/C][C]36.6[/C][C]36.7183912037037[/C][C]36.5216666666667[/C][C]0.196724537037038[/C][C]-0.118391203703702[/C][/ROW]
[ROW][C]39[/C][C]36.6[/C][C]36.5095023148148[/C][C]36.3466666666667[/C][C]0.162835648148149[/C][C]0.0904976851851842[/C][/ROW]
[ROW][C]40[/C][C]36.3[/C][C]36.3035300925926[/C][C]36.1466666666667[/C][C]0.156863425925926[/C][C]-0.00353009259259807[/C][/ROW]
[ROW][C]41[/C][C]36.2[/C][C]36.2121412037037[/C][C]35.9454166666667[/C][C]0.266724537037039[/C][C]-0.012141203703699[/C][/ROW]
[ROW][C]42[/C][C]35.9[/C][C]35.4863078703704[/C][C]35.7425[/C][C]-0.256192129629629[/C][C]0.413692129629631[/C][/ROW]
[ROW][C]43[/C][C]35.9[/C][C]35.4707523148148[/C][C]35.5408333333333[/C][C]-0.07008101851852[/C][C]0.429247685185189[/C][/ROW]
[ROW][C]44[/C][C]35.4[/C][C]35.2075578703704[/C][C]35.3408333333333[/C][C]-0.133275462962963[/C][C]0.192442129629633[/C][/ROW]
[ROW][C]45[/C][C]34.7[/C][C]34.8614467592593[/C][C]35.1075[/C][C]-0.246053240740741[/C][C]-0.161446759259249[/C][/ROW]
[ROW][C]46[/C][C]34.7[/C][C]34.7203356481481[/C][C]34.84375[/C][C]-0.123414351851853[/C][C]-0.0203356481481407[/C][/ROW]
[ROW][C]47[/C][C]34.39[/C][C]34.5068634259259[/C][C]34.58[/C][C]-0.073136574074074[/C][C]-0.116863425925914[/C][/ROW]
[ROW][C]48[/C][C]34.3[/C][C]34.3646412037037[/C][C]34.3175[/C][C]0.0471412037037034[/C][C]-0.064641203703701[/C][/ROW]
[ROW][C]49[/C][C]34.3[/C][C]34.1268634259259[/C][C]34.055[/C][C]0.071863425925925[/C][C]0.173136574074071[/C][/ROW]
[ROW][C]50[/C][C]34.2[/C][C]33.976724537037[/C][C]33.78[/C][C]0.196724537037038[/C][C]0.223275462962967[/C][/ROW]
[ROW][C]51[/C][C]33.4[/C][C]33.6803356481482[/C][C]33.5175[/C][C]0.162835648148149[/C][C]-0.280335648148153[/C][/ROW]
[ROW][C]52[/C][C]33.17[/C][C]33.4326967592593[/C][C]33.2758333333333[/C][C]0.156863425925926[/C][C]-0.262696759259264[/C][/ROW]
[ROW][C]53[/C][C]33[/C][C]33.3096412037037[/C][C]33.0429166666667[/C][C]0.266724537037039[/C][C]-0.309641203703706[/C][/ROW]
[ROW][C]54[/C][C]32.8[/C][C]32.5621412037037[/C][C]32.8183333333333[/C][C]-0.256192129629629[/C][C]0.237858796296294[/C][/ROW]
[ROW][C]55[/C][C]32.7[/C][C]32.4974189814815[/C][C]32.5675[/C][C]-0.07008101851852[/C][C]0.202581018518522[/C][/ROW]
[ROW][C]56[/C][C]32[/C][C]32.1500578703704[/C][C]32.2833333333333[/C][C]-0.133275462962963[/C][C]-0.150057870370375[/C][/ROW]
[ROW][C]57[/C][C]31.8[/C][C]31.7664467592593[/C][C]32.0125[/C][C]-0.246053240740741[/C][C]0.0335532407407371[/C][/ROW]
[ROW][C]58[/C][C]31.8[/C][C]31.6445023148148[/C][C]31.7679166666667[/C][C]-0.123414351851853[/C][C]0.155497685185185[/C][/ROW]
[ROW][C]59[/C][C]31.7[/C][C]31.4560300925926[/C][C]31.5291666666667[/C][C]-0.073136574074074[/C][C]0.243969907407404[/C][/ROW]
[ROW][C]60[/C][C]31.6[/C][C]31.3238078703704[/C][C]31.2766666666667[/C][C]0.0471412037037034[/C][C]0.276192129629631[/C][/ROW]
[ROW][C]61[/C][C]30.98[/C][C]31.0818634259259[/C][C]31.01[/C][C]0.071863425925925[/C][C]-0.101863425925924[/C][/ROW]
[ROW][C]62[/C][C]30.7[/C][C]30.9650578703704[/C][C]30.7683333333333[/C][C]0.196724537037038[/C][C]-0.265057870370367[/C][/ROW]
[ROW][C]63[/C][C]30.4[/C][C]30.7186689814815[/C][C]30.5558333333333[/C][C]0.162835648148149[/C][C]-0.31866898148148[/C][/ROW]
[ROW][C]64[/C][C]30.3[/C][C]30.5001967592593[/C][C]30.3433333333333[/C][C]0.156863425925926[/C][C]-0.200196759259256[/C][/ROW]
[ROW][C]65[/C][C]30.14[/C][C]30.3933912037037[/C][C]30.1266666666667[/C][C]0.266724537037039[/C][C]-0.253391203703703[/C][/ROW]
[ROW][C]66[/C][C]29.6[/C][C]29.6538078703704[/C][C]29.91[/C][C]-0.256192129629629[/C][C]-0.0538078703703633[/C][/ROW]
[ROW][C]67[/C][C]29.5[/C][C]29.6490856481481[/C][C]29.7191666666667[/C][C]-0.07008101851852[/C][C]-0.149085648148144[/C][/ROW]
[ROW][C]68[/C][C]29.4[/C][C]29.4283912037037[/C][C]29.5616666666667[/C][C]-0.133275462962963[/C][C]-0.028391203703702[/C][/ROW]
[ROW][C]69[/C][C]29.3[/C][C]29.1589467592593[/C][C]29.405[/C][C]-0.246053240740741[/C][C]0.141053240740742[/C][/ROW]
[ROW][C]70[/C][C]29.2[/C][C]29.1040856481481[/C][C]29.2275[/C][C]-0.123414351851853[/C][C]0.095914351851853[/C][/ROW]
[ROW][C]71[/C][C]29.1[/C][C]28.9610300925926[/C][C]29.0341666666667[/C][C]-0.073136574074074[/C][C]0.138969907407411[/C][/ROW]
[ROW][C]72[/C][C]29[/C][C]28.762974537037[/C][C]28.7158333333333[/C][C]0.0471412037037034[/C][C]0.237025462962968[/C][/ROW]
[ROW][C]73[/C][C]29[/C][C]28.3418634259259[/C][C]28.27[/C][C]0.071863425925925[/C][C]0.658136574074074[/C][/ROW]
[ROW][C]74[/C][C]28.9[/C][C]27.9708912037037[/C][C]27.7741666666667[/C][C]0.196724537037038[/C][C]0.92910879629629[/C][/ROW]
[ROW][C]75[/C][C]28.44[/C][C]27.3886689814815[/C][C]27.2258333333333[/C][C]0.162835648148149[/C][C]1.05133101851852[/C][/ROW]
[ROW][C]76[/C][C]28[/C][C]26.8176967592593[/C][C]26.6608333333333[/C][C]0.156863425925926[/C][C]1.18230324074074[/C][/ROW]
[ROW][C]77[/C][C]27.8[/C][C]26.3233912037037[/C][C]26.0566666666667[/C][C]0.266724537037039[/C][C]1.4766087962963[/C][/ROW]
[ROW][C]78[/C][C]24.3[/C][C]25.1588078703704[/C][C]25.415[/C][C]-0.256192129629629[/C][C]-0.85880787037037[/C][/ROW]
[ROW][C]79[/C][C]24.1[/C][C]NA[/C][C]NA[/C][C]-0.07008101851852[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]22.9[/C][C]NA[/C][C]NA[/C][C]-0.133275462962963[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]22.64[/C][C]NA[/C][C]NA[/C][C]-0.246053240740741[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]22.3[/C][C]NA[/C][C]NA[/C][C]-0.123414351851853[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]21.5[/C][C]NA[/C][C]NA[/C][C]-0.073136574074074[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]21.2[/C][C]NA[/C][C]NA[/C][C]0.0471412037037034[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108681&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	43.8	NA	NA	0.071863425925925	NA
2	43.4	NA	NA	0.196724537037038	NA
3	43.3	NA	NA	0.162835648148149	NA
4	42.8	NA	NA	0.156863425925926	NA
5	41.6	NA	NA	0.266724537037039	NA
6	41.5	NA	NA	-0.256192129629629	NA
7	40.7	41.1049189814815	41.175	-0.07008101851852	-0.40491898148148
8	40.6	40.691724537037	40.825	-0.133275462962963	-0.091724537037031
9	39.9	40.2456134259259	40.4916666666667	-0.246053240740741	-0.345613425925926
10	39.7	40.0470023148148	40.1704166666667	-0.123414351851853	-0.347002314814809
11	39.6	39.8301967592593	39.9033333333333	-0.073136574074074	-0.230196759259258
12	39.4	39.725474537037	39.6783333333333	0.0471412037037034	-0.325474537037039
13	39.4	39.5585300925926	39.4866666666667	0.071863425925925	-0.158530092592592
14	39.4	39.5250578703704	39.3283333333333	0.196724537037038	-0.12505787037037
15	39.3	39.3578356481481	39.195	0.162835648148149	-0.057835648148135
16	39.09	39.2435300925926	39.0866666666667	0.156863425925926	-0.153530092592582
17	38.9	39.249224537037	38.9825	0.266724537037039	-0.349224537037038
18	38.8	38.6346412037037	38.8908333333333	-0.256192129629629	0.165358796296296
19	38.8	38.7124189814815	38.7825	-0.07008101851852	0.0875810185185202
20	38.7	38.511724537037	38.645	-0.133275462962963	0.188275462962963
21	38.6	38.2614467592593	38.5075	-0.246053240740741	0.338553240740737
22	38.4	38.2511689814815	38.3745833333333	-0.123414351851853	0.148831018518521
23	38.4	38.1768634259259	38.25	-0.073136574074074	0.223136574074076
24	38.4	38.184224537037	38.1370833333333	0.0471412037037034	0.215775462962966
25	37.8	38.0918634259259	38.02	0.071863425925925	-0.291863425925925
26	37.7	38.091724537037	37.895	0.196724537037038	-0.391724537037028
27	37.7	37.9328356481481	37.77	0.162835648148149	-0.232835648148146
28	37.5	37.8101967592593	37.6533333333333	0.156863425925926	-0.310196759259263
29	37.5	37.8000578703704	37.5333333333333	0.266724537037039	-0.300057870370381
30	37.49	37.1421412037037	37.3983333333333	-0.256192129629629	0.3478587962963
31	37.3	37.2132523148148	37.2833333333333	-0.07008101851852	0.0867476851851805
32	37.2	37.0583912037037	37.1916666666667	-0.133275462962963	0.141608796296296
33	37.1	36.8539467592593	37.1	-0.246053240740741	0.246053240740743
34	37.1	36.8807523148148	37.0041666666667	-0.123414351851853	0.219247685185181
35	36.82	36.8268634259259	36.9	-0.073136574074074	-0.00686342592592837
36	36.74	36.826724537037	36.7795833333333	0.0471412037037034	-0.0867245370370426
37	36.7	36.7268634259259	36.655	0.071863425925925	-0.0268634259259315
38	36.6	36.7183912037037	36.5216666666667	0.196724537037038	-0.118391203703702
39	36.6	36.5095023148148	36.3466666666667	0.162835648148149	0.0904976851851842
40	36.3	36.3035300925926	36.1466666666667	0.156863425925926	-0.00353009259259807
41	36.2	36.2121412037037	35.9454166666667	0.266724537037039	-0.012141203703699
42	35.9	35.4863078703704	35.7425	-0.256192129629629	0.413692129629631
43	35.9	35.4707523148148	35.5408333333333	-0.07008101851852	0.429247685185189
44	35.4	35.2075578703704	35.3408333333333	-0.133275462962963	0.192442129629633
45	34.7	34.8614467592593	35.1075	-0.246053240740741	-0.161446759259249
46	34.7	34.7203356481481	34.84375	-0.123414351851853	-0.0203356481481407
47	34.39	34.5068634259259	34.58	-0.073136574074074	-0.116863425925914
48	34.3	34.3646412037037	34.3175	0.0471412037037034	-0.064641203703701
49	34.3	34.1268634259259	34.055	0.071863425925925	0.173136574074071
50	34.2	33.976724537037	33.78	0.196724537037038	0.223275462962967
51	33.4	33.6803356481482	33.5175	0.162835648148149	-0.280335648148153
52	33.17	33.4326967592593	33.2758333333333	0.156863425925926	-0.262696759259264
53	33	33.3096412037037	33.0429166666667	0.266724537037039	-0.309641203703706
54	32.8	32.5621412037037	32.8183333333333	-0.256192129629629	0.237858796296294
55	32.7	32.4974189814815	32.5675	-0.07008101851852	0.202581018518522
56	32	32.1500578703704	32.2833333333333	-0.133275462962963	-0.150057870370375
57	31.8	31.7664467592593	32.0125	-0.246053240740741	0.0335532407407371
58	31.8	31.6445023148148	31.7679166666667	-0.123414351851853	0.155497685185185
59	31.7	31.4560300925926	31.5291666666667	-0.073136574074074	0.243969907407404
60	31.6	31.3238078703704	31.2766666666667	0.0471412037037034	0.276192129629631
61	30.98	31.0818634259259	31.01	0.071863425925925	-0.101863425925924
62	30.7	30.9650578703704	30.7683333333333	0.196724537037038	-0.265057870370367
63	30.4	30.7186689814815	30.5558333333333	0.162835648148149	-0.31866898148148
64	30.3	30.5001967592593	30.3433333333333	0.156863425925926	-0.200196759259256
65	30.14	30.3933912037037	30.1266666666667	0.266724537037039	-0.253391203703703
66	29.6	29.6538078703704	29.91	-0.256192129629629	-0.0538078703703633
67	29.5	29.6490856481481	29.7191666666667	-0.07008101851852	-0.149085648148144
68	29.4	29.4283912037037	29.5616666666667	-0.133275462962963	-0.028391203703702
69	29.3	29.1589467592593	29.405	-0.246053240740741	0.141053240740742
70	29.2	29.1040856481481	29.2275	-0.123414351851853	0.095914351851853
71	29.1	28.9610300925926	29.0341666666667	-0.073136574074074	0.138969907407411
72	29	28.762974537037	28.7158333333333	0.0471412037037034	0.237025462962968
73	29	28.3418634259259	28.27	0.071863425925925	0.658136574074074
74	28.9	27.9708912037037	27.7741666666667	0.196724537037038	0.92910879629629
75	28.44	27.3886689814815	27.2258333333333	0.162835648148149	1.05133101851852
76	28	26.8176967592593	26.6608333333333	0.156863425925926	1.18230324074074
77	27.8	26.3233912037037	26.0566666666667	0.266724537037039	1.4766087962963
78	24.3	25.1588078703704	25.415	-0.256192129629629	-0.85880787037037
79	24.1	NA	NA	-0.07008101851852	NA
80	22.9	NA	NA	-0.133275462962963	NA
81	22.64	NA	NA	-0.246053240740741	NA
82	22.3	NA	NA	-0.123414351851853	NA
83	21.5	NA	NA	-0.073136574074074	NA
84	21.2	NA	NA	0.0471412037037034	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 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; 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