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Author

*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 20 May 2015 21:48:13 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/May/20/t143215500164napgtj8f2gjac.htm/, Retrieved Mon, 29 Apr 2024 15:06:06 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279186, Retrieved Mon, 29 Apr 2024 15:06:06 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

139

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

-       [Classical Decomposition] [Classical Decompo...] [2015-05-20 20:48:13] [bc7b6c6baf6d03f57c49dbed118965bb] [Current]

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Dataseries X:

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Boxplots

6,81
6,80
6,80
6,85
6,85
6,85
6,85
6,85
6,85
6,86
6,86
6,88
6,88
6,88
6,91
6,91
6,91
6,91
6,99
6,99
6,99
7,02
7,02
7,05
7,05
7,05
7,05
7,10
7,10
7,10
7,10
7,12
7,13
7,18
7,24
7,24
7,24
7,27
7,27
7,27
7,27
7,30
7,30
7,57
7,76
7,94
7,94
7,96
7,96
7,98
7,99
8,00
8,00
8,04
8,04
8,04
8,04
8,04
8,07
8,07
8,07
8,07
8,11
8,11
8,11
8,12
8,11
8,13
8,15
8,16
8,20
8,20
8,20
8,20
8,23
8,25
8,26
8,31
8,33
8,33
8,36
8,39
8,41
8,50
8,58
8,58
8,66
8,67
8,70
8,71
8,73
8,75
8,76
8,76
8,77
8,78

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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279186&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279186&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279186&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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	6.81	NA	NA	0.0150496	NA
2	6.8	NA	NA	-0.00030754	NA
3	6.8	NA	NA	0.00415675	NA
4	6.85	NA	NA	-0.00566468	NA
5	6.85	NA	NA	-0.022629	NA
6	6.85	NA	NA	-0.0253075	NA
7	6.85	6.81136	6.84542	-0.0340575	0.0386409
8	6.85	6.84076	6.85167	-0.0109028	0.00923611
9	6.85	6.86273	6.85958	0.00314484	-0.0127282
10	6.86	6.89219	6.86667	0.0255258	-0.0321925
11	6.86	6.89678	6.87167	0.0251091	-0.0367758
12	6.88	6.90255	6.87667	0.0258829	-0.0225496
13	6.88	6.90005	6.885	0.0150496	-0.0200496
14	6.88	6.89636	6.89667	-0.00030754	-0.0163591
15	6.91	6.91249	6.90833	0.00415675	-0.00249008
16	6.91	6.91517	6.92083	-0.00566468	-0.00516865
17	6.91	6.91154	6.93417	-0.022629	-0.0015377
18	6.91	6.92261	6.94792	-0.0253075	-0.0126091
19	6.99	6.92803	6.96208	-0.0340575	0.0619742
20	6.99	6.96535	6.97625	-0.0109028	0.0246528
21	6.99	6.99231	6.98917	0.00314484	-0.00231151
22	7.02	7.02844	7.00292	0.0255258	-0.00844246
23	7.02	7.04386	7.01875	0.0251091	-0.0238591
24	7.05	7.06047	7.03458	0.0258829	-0.0104663
25	7.05	7.06213	7.04708	0.0150496	-0.0121329
26	7.05	7.05678	7.05708	-0.00030754	-0.00677579
27	7.05	7.07249	7.06833	0.00415675	-0.0224901
28	7.1	7.07517	7.08083	-0.00566468	0.0248313
29	7.1	7.07404	7.09667	-0.022629	0.0259623
30	7.1	7.08844	7.11375	-0.0253075	0.0115575
31	7.1	7.09553	7.12958	-0.0340575	0.00447421
32	7.12	7.13576	7.14667	-0.0109028	-0.0157639
33	7.13	7.16814	7.165	0.00314484	-0.0381448
34	7.18	7.20678	7.18125	0.0255258	-0.0267758
35	7.24	7.22053	7.19542	0.0251091	0.0194742
36	7.24	7.23672	7.21083	0.0258829	0.00328373
37	7.24	7.24255	7.2275	0.0150496	-0.0025496
38	7.27	7.25428	7.25458	-0.00030754	0.0157242
39	7.27	7.30374	7.29958	0.00415675	-0.0337401
40	7.27	7.35184	7.3575	-0.00566468	-0.0818353
41	7.27	7.3957	7.41833	-0.022629	-0.125704
42	7.3	7.45219	7.4775	-0.0253075	-0.152192
43	7.3	7.50344	7.5375	-0.0340575	-0.203442
44	7.57	7.58618	7.59708	-0.0109028	-0.0161806
45	7.76	7.65981	7.65667	0.00314484	0.100188
46	7.94	7.74261	7.71708	0.0255258	0.197391
47	7.94	7.80303	7.77792	0.0251091	0.136974
48	7.96	7.86505	7.83917	0.0258829	0.0949504
49	7.96	7.91588	7.90083	0.0150496	0.0441171
50	7.98	7.95094	7.95125	-0.00030754	0.0290575
51	7.99	7.98666	7.9825	0.00415675	0.00334325
52	8	7.99267	7.99833	-0.00566468	0.00733135
53	8	7.98529	8.00792	-0.022629	0.0147123
54	8.04	7.99261	8.01792	-0.0253075	0.0473909
55	8.04	7.99303	8.02708	-0.0340575	0.0469742
56	8.04	8.02451	8.03542	-0.0109028	0.0154861
57	8.04	8.04731	8.04417	0.00314484	-0.00731151
58	8.04	8.07928	8.05375	0.0255258	-0.0392758
59	8.07	8.08803	8.06292	0.0251091	-0.0180258
60	8.07	8.09672	8.07083	0.0258829	-0.0267163
61	8.07	8.09213	8.07708	0.0150496	-0.0221329
62	8.07	8.08344	8.08375	-0.00030754	-0.0134425
63	8.11	8.09624	8.09208	0.00415675	0.0137599
64	8.11	8.096	8.10167	-0.00566468	0.013998
65	8.11	8.08945	8.11208	-0.022629	0.0205456
66	8.12	8.09761	8.12292	-0.0253075	0.0223909
67	8.11	8.09969	8.13375	-0.0340575	0.0103075
68	8.13	8.13368	8.14458	-0.0109028	-0.00368056
69	8.15	8.15814	8.155	0.00314484	-0.00814484
70	8.16	8.19136	8.16583	0.0255258	-0.0313591
71	8.2	8.20303	8.17792	0.0251091	-0.00302579
72	8.2	8.21797	8.19208	0.0258829	-0.0179663
73	8.2	8.22422	8.20917	0.0150496	-0.0242163
74	8.2	8.22636	8.22667	-0.00030754	-0.0263591
75	8.23	8.24791	8.24375	0.00415675	-0.0179067
76	8.25	8.25642	8.26208	-0.00566468	-0.00641865
77	8.26	8.25779	8.28042	-0.022629	0.0022123
78	8.31	8.27636	8.30167	-0.0253075	0.0336409
79	8.33	8.29594	8.33	-0.0340575	0.0340575
80	8.33	8.35076	8.36167	-0.0109028	-0.0207639
81	8.36	8.39856	8.39542	0.00314484	-0.0385615
82	8.39	8.45636	8.43083	0.0255258	-0.0663591
83	8.41	8.49178	8.46667	0.0251091	-0.0817758
84	8.5	8.52755	8.50167	0.0258829	-0.0275496
85	8.58	8.55005	8.535	0.0150496	0.0299504
86	8.58	8.56886	8.56917	-0.00030754	0.0111409
87	8.66	8.60749	8.60333	0.00415675	0.0525099
88	8.67	8.62975	8.63542	-0.00566468	0.040248
89	8.7	8.6432	8.66583	-0.022629	0.0567956
90	8.71	8.66719	8.6925	-0.0253075	0.0428075
91	8.73	NA	NA	-0.0340575	NA
92	8.75	NA	NA	-0.0109028	NA
93	8.76	NA	NA	0.00314484	NA
94	8.76	NA	NA	0.0255258	NA
95	8.77	NA	NA	0.0251091	NA
96	8.78	NA	NA	0.0258829	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 6.81 & NA & NA & 0.0150496 & NA \tabularnewline
2 & 6.8 & NA & NA & -0.00030754 & NA \tabularnewline
3 & 6.8 & NA & NA & 0.00415675 & NA \tabularnewline
4 & 6.85 & NA & NA & -0.00566468 & NA \tabularnewline
5 & 6.85 & NA & NA & -0.022629 & NA \tabularnewline
6 & 6.85 & NA & NA & -0.0253075 & NA \tabularnewline
7 & 6.85 & 6.81136 & 6.84542 & -0.0340575 & 0.0386409 \tabularnewline
8 & 6.85 & 6.84076 & 6.85167 & -0.0109028 & 0.00923611 \tabularnewline
9 & 6.85 & 6.86273 & 6.85958 & 0.00314484 & -0.0127282 \tabularnewline
10 & 6.86 & 6.89219 & 6.86667 & 0.0255258 & -0.0321925 \tabularnewline
11 & 6.86 & 6.89678 & 6.87167 & 0.0251091 & -0.0367758 \tabularnewline
12 & 6.88 & 6.90255 & 6.87667 & 0.0258829 & -0.0225496 \tabularnewline
13 & 6.88 & 6.90005 & 6.885 & 0.0150496 & -0.0200496 \tabularnewline
14 & 6.88 & 6.89636 & 6.89667 & -0.00030754 & -0.0163591 \tabularnewline
15 & 6.91 & 6.91249 & 6.90833 & 0.00415675 & -0.00249008 \tabularnewline
16 & 6.91 & 6.91517 & 6.92083 & -0.00566468 & -0.00516865 \tabularnewline
17 & 6.91 & 6.91154 & 6.93417 & -0.022629 & -0.0015377 \tabularnewline
18 & 6.91 & 6.92261 & 6.94792 & -0.0253075 & -0.0126091 \tabularnewline
19 & 6.99 & 6.92803 & 6.96208 & -0.0340575 & 0.0619742 \tabularnewline
20 & 6.99 & 6.96535 & 6.97625 & -0.0109028 & 0.0246528 \tabularnewline
21 & 6.99 & 6.99231 & 6.98917 & 0.00314484 & -0.00231151 \tabularnewline
22 & 7.02 & 7.02844 & 7.00292 & 0.0255258 & -0.00844246 \tabularnewline
23 & 7.02 & 7.04386 & 7.01875 & 0.0251091 & -0.0238591 \tabularnewline
24 & 7.05 & 7.06047 & 7.03458 & 0.0258829 & -0.0104663 \tabularnewline
25 & 7.05 & 7.06213 & 7.04708 & 0.0150496 & -0.0121329 \tabularnewline
26 & 7.05 & 7.05678 & 7.05708 & -0.00030754 & -0.00677579 \tabularnewline
27 & 7.05 & 7.07249 & 7.06833 & 0.00415675 & -0.0224901 \tabularnewline
28 & 7.1 & 7.07517 & 7.08083 & -0.00566468 & 0.0248313 \tabularnewline
29 & 7.1 & 7.07404 & 7.09667 & -0.022629 & 0.0259623 \tabularnewline
30 & 7.1 & 7.08844 & 7.11375 & -0.0253075 & 0.0115575 \tabularnewline
31 & 7.1 & 7.09553 & 7.12958 & -0.0340575 & 0.00447421 \tabularnewline
32 & 7.12 & 7.13576 & 7.14667 & -0.0109028 & -0.0157639 \tabularnewline
33 & 7.13 & 7.16814 & 7.165 & 0.00314484 & -0.0381448 \tabularnewline
34 & 7.18 & 7.20678 & 7.18125 & 0.0255258 & -0.0267758 \tabularnewline
35 & 7.24 & 7.22053 & 7.19542 & 0.0251091 & 0.0194742 \tabularnewline
36 & 7.24 & 7.23672 & 7.21083 & 0.0258829 & 0.00328373 \tabularnewline
37 & 7.24 & 7.24255 & 7.2275 & 0.0150496 & -0.0025496 \tabularnewline
38 & 7.27 & 7.25428 & 7.25458 & -0.00030754 & 0.0157242 \tabularnewline
39 & 7.27 & 7.30374 & 7.29958 & 0.00415675 & -0.0337401 \tabularnewline
40 & 7.27 & 7.35184 & 7.3575 & -0.00566468 & -0.0818353 \tabularnewline
41 & 7.27 & 7.3957 & 7.41833 & -0.022629 & -0.125704 \tabularnewline
42 & 7.3 & 7.45219 & 7.4775 & -0.0253075 & -0.152192 \tabularnewline
43 & 7.3 & 7.50344 & 7.5375 & -0.0340575 & -0.203442 \tabularnewline
44 & 7.57 & 7.58618 & 7.59708 & -0.0109028 & -0.0161806 \tabularnewline
45 & 7.76 & 7.65981 & 7.65667 & 0.00314484 & 0.100188 \tabularnewline
46 & 7.94 & 7.74261 & 7.71708 & 0.0255258 & 0.197391 \tabularnewline
47 & 7.94 & 7.80303 & 7.77792 & 0.0251091 & 0.136974 \tabularnewline
48 & 7.96 & 7.86505 & 7.83917 & 0.0258829 & 0.0949504 \tabularnewline
49 & 7.96 & 7.91588 & 7.90083 & 0.0150496 & 0.0441171 \tabularnewline
50 & 7.98 & 7.95094 & 7.95125 & -0.00030754 & 0.0290575 \tabularnewline
51 & 7.99 & 7.98666 & 7.9825 & 0.00415675 & 0.00334325 \tabularnewline
52 & 8 & 7.99267 & 7.99833 & -0.00566468 & 0.00733135 \tabularnewline
53 & 8 & 7.98529 & 8.00792 & -0.022629 & 0.0147123 \tabularnewline
54 & 8.04 & 7.99261 & 8.01792 & -0.0253075 & 0.0473909 \tabularnewline
55 & 8.04 & 7.99303 & 8.02708 & -0.0340575 & 0.0469742 \tabularnewline
56 & 8.04 & 8.02451 & 8.03542 & -0.0109028 & 0.0154861 \tabularnewline
57 & 8.04 & 8.04731 & 8.04417 & 0.00314484 & -0.00731151 \tabularnewline
58 & 8.04 & 8.07928 & 8.05375 & 0.0255258 & -0.0392758 \tabularnewline
59 & 8.07 & 8.08803 & 8.06292 & 0.0251091 & -0.0180258 \tabularnewline
60 & 8.07 & 8.09672 & 8.07083 & 0.0258829 & -0.0267163 \tabularnewline
61 & 8.07 & 8.09213 & 8.07708 & 0.0150496 & -0.0221329 \tabularnewline
62 & 8.07 & 8.08344 & 8.08375 & -0.00030754 & -0.0134425 \tabularnewline
63 & 8.11 & 8.09624 & 8.09208 & 0.00415675 & 0.0137599 \tabularnewline
64 & 8.11 & 8.096 & 8.10167 & -0.00566468 & 0.013998 \tabularnewline
65 & 8.11 & 8.08945 & 8.11208 & -0.022629 & 0.0205456 \tabularnewline
66 & 8.12 & 8.09761 & 8.12292 & -0.0253075 & 0.0223909 \tabularnewline
67 & 8.11 & 8.09969 & 8.13375 & -0.0340575 & 0.0103075 \tabularnewline
68 & 8.13 & 8.13368 & 8.14458 & -0.0109028 & -0.00368056 \tabularnewline
69 & 8.15 & 8.15814 & 8.155 & 0.00314484 & -0.00814484 \tabularnewline
70 & 8.16 & 8.19136 & 8.16583 & 0.0255258 & -0.0313591 \tabularnewline
71 & 8.2 & 8.20303 & 8.17792 & 0.0251091 & -0.00302579 \tabularnewline
72 & 8.2 & 8.21797 & 8.19208 & 0.0258829 & -0.0179663 \tabularnewline
73 & 8.2 & 8.22422 & 8.20917 & 0.0150496 & -0.0242163 \tabularnewline
74 & 8.2 & 8.22636 & 8.22667 & -0.00030754 & -0.0263591 \tabularnewline
75 & 8.23 & 8.24791 & 8.24375 & 0.00415675 & -0.0179067 \tabularnewline
76 & 8.25 & 8.25642 & 8.26208 & -0.00566468 & -0.00641865 \tabularnewline
77 & 8.26 & 8.25779 & 8.28042 & -0.022629 & 0.0022123 \tabularnewline
78 & 8.31 & 8.27636 & 8.30167 & -0.0253075 & 0.0336409 \tabularnewline
79 & 8.33 & 8.29594 & 8.33 & -0.0340575 & 0.0340575 \tabularnewline
80 & 8.33 & 8.35076 & 8.36167 & -0.0109028 & -0.0207639 \tabularnewline
81 & 8.36 & 8.39856 & 8.39542 & 0.00314484 & -0.0385615 \tabularnewline
82 & 8.39 & 8.45636 & 8.43083 & 0.0255258 & -0.0663591 \tabularnewline
83 & 8.41 & 8.49178 & 8.46667 & 0.0251091 & -0.0817758 \tabularnewline
84 & 8.5 & 8.52755 & 8.50167 & 0.0258829 & -0.0275496 \tabularnewline
85 & 8.58 & 8.55005 & 8.535 & 0.0150496 & 0.0299504 \tabularnewline
86 & 8.58 & 8.56886 & 8.56917 & -0.00030754 & 0.0111409 \tabularnewline
87 & 8.66 & 8.60749 & 8.60333 & 0.00415675 & 0.0525099 \tabularnewline
88 & 8.67 & 8.62975 & 8.63542 & -0.00566468 & 0.040248 \tabularnewline
89 & 8.7 & 8.6432 & 8.66583 & -0.022629 & 0.0567956 \tabularnewline
90 & 8.71 & 8.66719 & 8.6925 & -0.0253075 & 0.0428075 \tabularnewline
91 & 8.73 & NA & NA & -0.0340575 & NA \tabularnewline
92 & 8.75 & NA & NA & -0.0109028 & NA \tabularnewline
93 & 8.76 & NA & NA & 0.00314484 & NA \tabularnewline
94 & 8.76 & NA & NA & 0.0255258 & NA \tabularnewline
95 & 8.77 & NA & NA & 0.0251091 & NA \tabularnewline
96 & 8.78 & NA & NA & 0.0258829 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279186&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]6.81[/C][C]NA[/C][C]NA[/C][C]0.0150496[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6.8[/C][C]NA[/C][C]NA[/C][C]-0.00030754[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6.8[/C][C]NA[/C][C]NA[/C][C]0.00415675[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6.85[/C][C]NA[/C][C]NA[/C][C]-0.00566468[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]6.85[/C][C]NA[/C][C]NA[/C][C]-0.022629[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]6.85[/C][C]NA[/C][C]NA[/C][C]-0.0253075[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6.85[/C][C]6.81136[/C][C]6.84542[/C][C]-0.0340575[/C][C]0.0386409[/C][/ROW]
[ROW][C]8[/C][C]6.85[/C][C]6.84076[/C][C]6.85167[/C][C]-0.0109028[/C][C]0.00923611[/C][/ROW]
[ROW][C]9[/C][C]6.85[/C][C]6.86273[/C][C]6.85958[/C][C]0.00314484[/C][C]-0.0127282[/C][/ROW]
[ROW][C]10[/C][C]6.86[/C][C]6.89219[/C][C]6.86667[/C][C]0.0255258[/C][C]-0.0321925[/C][/ROW]
[ROW][C]11[/C][C]6.86[/C][C]6.89678[/C][C]6.87167[/C][C]0.0251091[/C][C]-0.0367758[/C][/ROW]
[ROW][C]12[/C][C]6.88[/C][C]6.90255[/C][C]6.87667[/C][C]0.0258829[/C][C]-0.0225496[/C][/ROW]
[ROW][C]13[/C][C]6.88[/C][C]6.90005[/C][C]6.885[/C][C]0.0150496[/C][C]-0.0200496[/C][/ROW]
[ROW][C]14[/C][C]6.88[/C][C]6.89636[/C][C]6.89667[/C][C]-0.00030754[/C][C]-0.0163591[/C][/ROW]
[ROW][C]15[/C][C]6.91[/C][C]6.91249[/C][C]6.90833[/C][C]0.00415675[/C][C]-0.00249008[/C][/ROW]
[ROW][C]16[/C][C]6.91[/C][C]6.91517[/C][C]6.92083[/C][C]-0.00566468[/C][C]-0.00516865[/C][/ROW]
[ROW][C]17[/C][C]6.91[/C][C]6.91154[/C][C]6.93417[/C][C]-0.022629[/C][C]-0.0015377[/C][/ROW]
[ROW][C]18[/C][C]6.91[/C][C]6.92261[/C][C]6.94792[/C][C]-0.0253075[/C][C]-0.0126091[/C][/ROW]
[ROW][C]19[/C][C]6.99[/C][C]6.92803[/C][C]6.96208[/C][C]-0.0340575[/C][C]0.0619742[/C][/ROW]
[ROW][C]20[/C][C]6.99[/C][C]6.96535[/C][C]6.97625[/C][C]-0.0109028[/C][C]0.0246528[/C][/ROW]
[ROW][C]21[/C][C]6.99[/C][C]6.99231[/C][C]6.98917[/C][C]0.00314484[/C][C]-0.00231151[/C][/ROW]
[ROW][C]22[/C][C]7.02[/C][C]7.02844[/C][C]7.00292[/C][C]0.0255258[/C][C]-0.00844246[/C][/ROW]
[ROW][C]23[/C][C]7.02[/C][C]7.04386[/C][C]7.01875[/C][C]0.0251091[/C][C]-0.0238591[/C][/ROW]
[ROW][C]24[/C][C]7.05[/C][C]7.06047[/C][C]7.03458[/C][C]0.0258829[/C][C]-0.0104663[/C][/ROW]
[ROW][C]25[/C][C]7.05[/C][C]7.06213[/C][C]7.04708[/C][C]0.0150496[/C][C]-0.0121329[/C][/ROW]
[ROW][C]26[/C][C]7.05[/C][C]7.05678[/C][C]7.05708[/C][C]-0.00030754[/C][C]-0.00677579[/C][/ROW]
[ROW][C]27[/C][C]7.05[/C][C]7.07249[/C][C]7.06833[/C][C]0.00415675[/C][C]-0.0224901[/C][/ROW]
[ROW][C]28[/C][C]7.1[/C][C]7.07517[/C][C]7.08083[/C][C]-0.00566468[/C][C]0.0248313[/C][/ROW]
[ROW][C]29[/C][C]7.1[/C][C]7.07404[/C][C]7.09667[/C][C]-0.022629[/C][C]0.0259623[/C][/ROW]
[ROW][C]30[/C][C]7.1[/C][C]7.08844[/C][C]7.11375[/C][C]-0.0253075[/C][C]0.0115575[/C][/ROW]
[ROW][C]31[/C][C]7.1[/C][C]7.09553[/C][C]7.12958[/C][C]-0.0340575[/C][C]0.00447421[/C][/ROW]
[ROW][C]32[/C][C]7.12[/C][C]7.13576[/C][C]7.14667[/C][C]-0.0109028[/C][C]-0.0157639[/C][/ROW]
[ROW][C]33[/C][C]7.13[/C][C]7.16814[/C][C]7.165[/C][C]0.00314484[/C][C]-0.0381448[/C][/ROW]
[ROW][C]34[/C][C]7.18[/C][C]7.20678[/C][C]7.18125[/C][C]0.0255258[/C][C]-0.0267758[/C][/ROW]
[ROW][C]35[/C][C]7.24[/C][C]7.22053[/C][C]7.19542[/C][C]0.0251091[/C][C]0.0194742[/C][/ROW]
[ROW][C]36[/C][C]7.24[/C][C]7.23672[/C][C]7.21083[/C][C]0.0258829[/C][C]0.00328373[/C][/ROW]
[ROW][C]37[/C][C]7.24[/C][C]7.24255[/C][C]7.2275[/C][C]0.0150496[/C][C]-0.0025496[/C][/ROW]
[ROW][C]38[/C][C]7.27[/C][C]7.25428[/C][C]7.25458[/C][C]-0.00030754[/C][C]0.0157242[/C][/ROW]
[ROW][C]39[/C][C]7.27[/C][C]7.30374[/C][C]7.29958[/C][C]0.00415675[/C][C]-0.0337401[/C][/ROW]
[ROW][C]40[/C][C]7.27[/C][C]7.35184[/C][C]7.3575[/C][C]-0.00566468[/C][C]-0.0818353[/C][/ROW]
[ROW][C]41[/C][C]7.27[/C][C]7.3957[/C][C]7.41833[/C][C]-0.022629[/C][C]-0.125704[/C][/ROW]
[ROW][C]42[/C][C]7.3[/C][C]7.45219[/C][C]7.4775[/C][C]-0.0253075[/C][C]-0.152192[/C][/ROW]
[ROW][C]43[/C][C]7.3[/C][C]7.50344[/C][C]7.5375[/C][C]-0.0340575[/C][C]-0.203442[/C][/ROW]
[ROW][C]44[/C][C]7.57[/C][C]7.58618[/C][C]7.59708[/C][C]-0.0109028[/C][C]-0.0161806[/C][/ROW]
[ROW][C]45[/C][C]7.76[/C][C]7.65981[/C][C]7.65667[/C][C]0.00314484[/C][C]0.100188[/C][/ROW]
[ROW][C]46[/C][C]7.94[/C][C]7.74261[/C][C]7.71708[/C][C]0.0255258[/C][C]0.197391[/C][/ROW]
[ROW][C]47[/C][C]7.94[/C][C]7.80303[/C][C]7.77792[/C][C]0.0251091[/C][C]0.136974[/C][/ROW]
[ROW][C]48[/C][C]7.96[/C][C]7.86505[/C][C]7.83917[/C][C]0.0258829[/C][C]0.0949504[/C][/ROW]
[ROW][C]49[/C][C]7.96[/C][C]7.91588[/C][C]7.90083[/C][C]0.0150496[/C][C]0.0441171[/C][/ROW]
[ROW][C]50[/C][C]7.98[/C][C]7.95094[/C][C]7.95125[/C][C]-0.00030754[/C][C]0.0290575[/C][/ROW]
[ROW][C]51[/C][C]7.99[/C][C]7.98666[/C][C]7.9825[/C][C]0.00415675[/C][C]0.00334325[/C][/ROW]
[ROW][C]52[/C][C]8[/C][C]7.99267[/C][C]7.99833[/C][C]-0.00566468[/C][C]0.00733135[/C][/ROW]
[ROW][C]53[/C][C]8[/C][C]7.98529[/C][C]8.00792[/C][C]-0.022629[/C][C]0.0147123[/C][/ROW]
[ROW][C]54[/C][C]8.04[/C][C]7.99261[/C][C]8.01792[/C][C]-0.0253075[/C][C]0.0473909[/C][/ROW]
[ROW][C]55[/C][C]8.04[/C][C]7.99303[/C][C]8.02708[/C][C]-0.0340575[/C][C]0.0469742[/C][/ROW]
[ROW][C]56[/C][C]8.04[/C][C]8.02451[/C][C]8.03542[/C][C]-0.0109028[/C][C]0.0154861[/C][/ROW]
[ROW][C]57[/C][C]8.04[/C][C]8.04731[/C][C]8.04417[/C][C]0.00314484[/C][C]-0.00731151[/C][/ROW]
[ROW][C]58[/C][C]8.04[/C][C]8.07928[/C][C]8.05375[/C][C]0.0255258[/C][C]-0.0392758[/C][/ROW]
[ROW][C]59[/C][C]8.07[/C][C]8.08803[/C][C]8.06292[/C][C]0.0251091[/C][C]-0.0180258[/C][/ROW]
[ROW][C]60[/C][C]8.07[/C][C]8.09672[/C][C]8.07083[/C][C]0.0258829[/C][C]-0.0267163[/C][/ROW]
[ROW][C]61[/C][C]8.07[/C][C]8.09213[/C][C]8.07708[/C][C]0.0150496[/C][C]-0.0221329[/C][/ROW]
[ROW][C]62[/C][C]8.07[/C][C]8.08344[/C][C]8.08375[/C][C]-0.00030754[/C][C]-0.0134425[/C][/ROW]
[ROW][C]63[/C][C]8.11[/C][C]8.09624[/C][C]8.09208[/C][C]0.00415675[/C][C]0.0137599[/C][/ROW]
[ROW][C]64[/C][C]8.11[/C][C]8.096[/C][C]8.10167[/C][C]-0.00566468[/C][C]0.013998[/C][/ROW]
[ROW][C]65[/C][C]8.11[/C][C]8.08945[/C][C]8.11208[/C][C]-0.022629[/C][C]0.0205456[/C][/ROW]
[ROW][C]66[/C][C]8.12[/C][C]8.09761[/C][C]8.12292[/C][C]-0.0253075[/C][C]0.0223909[/C][/ROW]
[ROW][C]67[/C][C]8.11[/C][C]8.09969[/C][C]8.13375[/C][C]-0.0340575[/C][C]0.0103075[/C][/ROW]
[ROW][C]68[/C][C]8.13[/C][C]8.13368[/C][C]8.14458[/C][C]-0.0109028[/C][C]-0.00368056[/C][/ROW]
[ROW][C]69[/C][C]8.15[/C][C]8.15814[/C][C]8.155[/C][C]0.00314484[/C][C]-0.00814484[/C][/ROW]
[ROW][C]70[/C][C]8.16[/C][C]8.19136[/C][C]8.16583[/C][C]0.0255258[/C][C]-0.0313591[/C][/ROW]
[ROW][C]71[/C][C]8.2[/C][C]8.20303[/C][C]8.17792[/C][C]0.0251091[/C][C]-0.00302579[/C][/ROW]
[ROW][C]72[/C][C]8.2[/C][C]8.21797[/C][C]8.19208[/C][C]0.0258829[/C][C]-0.0179663[/C][/ROW]
[ROW][C]73[/C][C]8.2[/C][C]8.22422[/C][C]8.20917[/C][C]0.0150496[/C][C]-0.0242163[/C][/ROW]
[ROW][C]74[/C][C]8.2[/C][C]8.22636[/C][C]8.22667[/C][C]-0.00030754[/C][C]-0.0263591[/C][/ROW]
[ROW][C]75[/C][C]8.23[/C][C]8.24791[/C][C]8.24375[/C][C]0.00415675[/C][C]-0.0179067[/C][/ROW]
[ROW][C]76[/C][C]8.25[/C][C]8.25642[/C][C]8.26208[/C][C]-0.00566468[/C][C]-0.00641865[/C][/ROW]
[ROW][C]77[/C][C]8.26[/C][C]8.25779[/C][C]8.28042[/C][C]-0.022629[/C][C]0.0022123[/C][/ROW]
[ROW][C]78[/C][C]8.31[/C][C]8.27636[/C][C]8.30167[/C][C]-0.0253075[/C][C]0.0336409[/C][/ROW]
[ROW][C]79[/C][C]8.33[/C][C]8.29594[/C][C]8.33[/C][C]-0.0340575[/C][C]0.0340575[/C][/ROW]
[ROW][C]80[/C][C]8.33[/C][C]8.35076[/C][C]8.36167[/C][C]-0.0109028[/C][C]-0.0207639[/C][/ROW]
[ROW][C]81[/C][C]8.36[/C][C]8.39856[/C][C]8.39542[/C][C]0.00314484[/C][C]-0.0385615[/C][/ROW]
[ROW][C]82[/C][C]8.39[/C][C]8.45636[/C][C]8.43083[/C][C]0.0255258[/C][C]-0.0663591[/C][/ROW]
[ROW][C]83[/C][C]8.41[/C][C]8.49178[/C][C]8.46667[/C][C]0.0251091[/C][C]-0.0817758[/C][/ROW]
[ROW][C]84[/C][C]8.5[/C][C]8.52755[/C][C]8.50167[/C][C]0.0258829[/C][C]-0.0275496[/C][/ROW]
[ROW][C]85[/C][C]8.58[/C][C]8.55005[/C][C]8.535[/C][C]0.0150496[/C][C]0.0299504[/C][/ROW]
[ROW][C]86[/C][C]8.58[/C][C]8.56886[/C][C]8.56917[/C][C]-0.00030754[/C][C]0.0111409[/C][/ROW]
[ROW][C]87[/C][C]8.66[/C][C]8.60749[/C][C]8.60333[/C][C]0.00415675[/C][C]0.0525099[/C][/ROW]
[ROW][C]88[/C][C]8.67[/C][C]8.62975[/C][C]8.63542[/C][C]-0.00566468[/C][C]0.040248[/C][/ROW]
[ROW][C]89[/C][C]8.7[/C][C]8.6432[/C][C]8.66583[/C][C]-0.022629[/C][C]0.0567956[/C][/ROW]
[ROW][C]90[/C][C]8.71[/C][C]8.66719[/C][C]8.6925[/C][C]-0.0253075[/C][C]0.0428075[/C][/ROW]
[ROW][C]91[/C][C]8.73[/C][C]NA[/C][C]NA[/C][C]-0.0340575[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]8.75[/C][C]NA[/C][C]NA[/C][C]-0.0109028[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]8.76[/C][C]NA[/C][C]NA[/C][C]0.00314484[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]8.76[/C][C]NA[/C][C]NA[/C][C]0.0255258[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]8.77[/C][C]NA[/C][C]NA[/C][C]0.0251091[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]8.78[/C][C]NA[/C][C]NA[/C][C]0.0258829[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279186&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279186&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	6.81	NA	NA	0.0150496	NA
2	6.8	NA	NA	-0.00030754	NA
3	6.8	NA	NA	0.00415675	NA
4	6.85	NA	NA	-0.00566468	NA
5	6.85	NA	NA	-0.022629	NA
6	6.85	NA	NA	-0.0253075	NA
7	6.85	6.81136	6.84542	-0.0340575	0.0386409
8	6.85	6.84076	6.85167	-0.0109028	0.00923611
9	6.85	6.86273	6.85958	0.00314484	-0.0127282
10	6.86	6.89219	6.86667	0.0255258	-0.0321925
11	6.86	6.89678	6.87167	0.0251091	-0.0367758
12	6.88	6.90255	6.87667	0.0258829	-0.0225496
13	6.88	6.90005	6.885	0.0150496	-0.0200496
14	6.88	6.89636	6.89667	-0.00030754	-0.0163591
15	6.91	6.91249	6.90833	0.00415675	-0.00249008
16	6.91	6.91517	6.92083	-0.00566468	-0.00516865
17	6.91	6.91154	6.93417	-0.022629	-0.0015377
18	6.91	6.92261	6.94792	-0.0253075	-0.0126091
19	6.99	6.92803	6.96208	-0.0340575	0.0619742
20	6.99	6.96535	6.97625	-0.0109028	0.0246528
21	6.99	6.99231	6.98917	0.00314484	-0.00231151
22	7.02	7.02844	7.00292	0.0255258	-0.00844246
23	7.02	7.04386	7.01875	0.0251091	-0.0238591
24	7.05	7.06047	7.03458	0.0258829	-0.0104663
25	7.05	7.06213	7.04708	0.0150496	-0.0121329
26	7.05	7.05678	7.05708	-0.00030754	-0.00677579
27	7.05	7.07249	7.06833	0.00415675	-0.0224901
28	7.1	7.07517	7.08083	-0.00566468	0.0248313
29	7.1	7.07404	7.09667	-0.022629	0.0259623
30	7.1	7.08844	7.11375	-0.0253075	0.0115575
31	7.1	7.09553	7.12958	-0.0340575	0.00447421
32	7.12	7.13576	7.14667	-0.0109028	-0.0157639
33	7.13	7.16814	7.165	0.00314484	-0.0381448
34	7.18	7.20678	7.18125	0.0255258	-0.0267758
35	7.24	7.22053	7.19542	0.0251091	0.0194742
36	7.24	7.23672	7.21083	0.0258829	0.00328373
37	7.24	7.24255	7.2275	0.0150496	-0.0025496
38	7.27	7.25428	7.25458	-0.00030754	0.0157242
39	7.27	7.30374	7.29958	0.00415675	-0.0337401
40	7.27	7.35184	7.3575	-0.00566468	-0.0818353
41	7.27	7.3957	7.41833	-0.022629	-0.125704
42	7.3	7.45219	7.4775	-0.0253075	-0.152192
43	7.3	7.50344	7.5375	-0.0340575	-0.203442
44	7.57	7.58618	7.59708	-0.0109028	-0.0161806
45	7.76	7.65981	7.65667	0.00314484	0.100188
46	7.94	7.74261	7.71708	0.0255258	0.197391
47	7.94	7.80303	7.77792	0.0251091	0.136974
48	7.96	7.86505	7.83917	0.0258829	0.0949504
49	7.96	7.91588	7.90083	0.0150496	0.0441171
50	7.98	7.95094	7.95125	-0.00030754	0.0290575
51	7.99	7.98666	7.9825	0.00415675	0.00334325
52	8	7.99267	7.99833	-0.00566468	0.00733135
53	8	7.98529	8.00792	-0.022629	0.0147123
54	8.04	7.99261	8.01792	-0.0253075	0.0473909
55	8.04	7.99303	8.02708	-0.0340575	0.0469742
56	8.04	8.02451	8.03542	-0.0109028	0.0154861
57	8.04	8.04731	8.04417	0.00314484	-0.00731151
58	8.04	8.07928	8.05375	0.0255258	-0.0392758
59	8.07	8.08803	8.06292	0.0251091	-0.0180258
60	8.07	8.09672	8.07083	0.0258829	-0.0267163
61	8.07	8.09213	8.07708	0.0150496	-0.0221329
62	8.07	8.08344	8.08375	-0.00030754	-0.0134425
63	8.11	8.09624	8.09208	0.00415675	0.0137599
64	8.11	8.096	8.10167	-0.00566468	0.013998
65	8.11	8.08945	8.11208	-0.022629	0.0205456
66	8.12	8.09761	8.12292	-0.0253075	0.0223909
67	8.11	8.09969	8.13375	-0.0340575	0.0103075
68	8.13	8.13368	8.14458	-0.0109028	-0.00368056
69	8.15	8.15814	8.155	0.00314484	-0.00814484
70	8.16	8.19136	8.16583	0.0255258	-0.0313591
71	8.2	8.20303	8.17792	0.0251091	-0.00302579
72	8.2	8.21797	8.19208	0.0258829	-0.0179663
73	8.2	8.22422	8.20917	0.0150496	-0.0242163
74	8.2	8.22636	8.22667	-0.00030754	-0.0263591
75	8.23	8.24791	8.24375	0.00415675	-0.0179067
76	8.25	8.25642	8.26208	-0.00566468	-0.00641865
77	8.26	8.25779	8.28042	-0.022629	0.0022123
78	8.31	8.27636	8.30167	-0.0253075	0.0336409
79	8.33	8.29594	8.33	-0.0340575	0.0340575
80	8.33	8.35076	8.36167	-0.0109028	-0.0207639
81	8.36	8.39856	8.39542	0.00314484	-0.0385615
82	8.39	8.45636	8.43083	0.0255258	-0.0663591
83	8.41	8.49178	8.46667	0.0251091	-0.0817758
84	8.5	8.52755	8.50167	0.0258829	-0.0275496
85	8.58	8.55005	8.535	0.0150496	0.0299504
86	8.58	8.56886	8.56917	-0.00030754	0.0111409
87	8.66	8.60749	8.60333	0.00415675	0.0525099
88	8.67	8.62975	8.63542	-0.00566468	0.040248
89	8.7	8.6432	8.66583	-0.022629	0.0567956
90	8.71	8.66719	8.6925	-0.0253075	0.0428075
91	8.73	NA	NA	-0.0340575	NA
92	8.75	NA	NA	-0.0109028	NA
93	8.76	NA	NA	0.00314484	NA
94	8.76	NA	NA	0.0255258	NA
95	8.77	NA	NA	0.0251091	NA
96	8.78	NA	NA	0.0258829	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
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