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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 01 Apr 2015 13:43:03 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Apr/01/t14278923520pw2u4odzn8nqfe.htm/, Retrieved Thu, 09 May 2024 13:41:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278506, Retrieved Thu, 09 May 2024 13:41:34 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

138

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

-       [Classical Decomposition] [] [2015-04-01 12:43:03] [7657461249ddfb44f7ff766614f926c4] [Current]

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Dataseries X:

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8,09
8,18
8,26
8,28
8,28
8,28
8,29
8,3
8,3
8,31
8,33
8,33
8,34
8,48
8,59
8,67
8,67
8,67
8,71
8,72
8,72
8,72
8,74
8,74
8,74
8,74
8,79
8,85
8,86
8,87
8,92
8,96
8,97
8,99
8,98
8,98
9,01
9,01
9,03
9,05
9,05
9,05
9,13
9,13
9,13
9,14
9,16
9,16
9,16
9,16
9,22
9,22
9,25
9,25
9,26
9,26
9,29
9,28
9,37
9,41
9,41
9,45
9,49
9,49
9,56
9,54
9,55
9,55
9,57
9,57
9,58
9,59
9,59
9,59
9,61
9,61
9,62
9,62
9,63
9,65
9,65
9,68
9,73
9,73
9,73
9,74
9,68
9,68
9,74
9,74
9,76
9,78
9,79
9,81
9,84
9,84

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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278506&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278506&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278506&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	8.09	NA	NA	-0.0209722	NA
2	8.18	NA	NA	-0.0113889	NA
3	8.26	NA	NA	0.00521825	NA
4	8.28	NA	NA	0.0102778	NA
5	8.28	NA	NA	0.0180754	NA
6	8.28	NA	NA	-0.00132937	NA
7	8.29	8.29403	8.27958	0.0144444	-0.00402778
8	8.3	8.30933	8.3025	0.0068254	-0.0093254
9	8.3	8.32641	8.32875	-0.00234127	-0.0264087
10	8.31	8.34819	8.35875	-0.0105556	-0.0381944
11	8.33	8.39224	8.39125	0.000992063	-0.0622421
12	8.33	8.4145	8.42375	-0.00924603	-0.084504
13	8.34	8.43653	8.4575	-0.0209722	-0.0965278
14	8.48	8.48111	8.4925	-0.0113889	-0.00111111
15	8.59	8.53272	8.5275	0.00521825	0.0572817
16	8.67	8.57236	8.56208	0.0102778	0.0976389
17	8.67	8.61433	8.59625	0.0180754	0.0556746
18	8.67	8.62909	8.63042	-0.00132937	0.0409127
19	8.71	8.67861	8.66417	0.0144444	0.0313889
20	8.72	8.69849	8.69167	0.0068254	0.0215079
21	8.72	8.70849	8.71083	-0.00234127	0.0115079
22	8.72	8.71611	8.72667	-0.0105556	0.00388889
23	8.74	8.74308	8.74208	0.000992063	-0.0030754
24	8.74	8.74909	8.75833	-0.00924603	-0.0090873
25	8.74	8.75444	8.77542	-0.0209722	-0.0144444
26	8.74	8.78278	8.79417	-0.0113889	-0.0427778
27	8.79	8.8198	8.81458	0.00521825	-0.0298016
28	8.85	8.84653	8.83625	0.0102778	0.00347222
29	8.86	8.87558	8.8575	0.0180754	-0.0155754
30	8.87	8.87617	8.8775	-0.00132937	-0.00617063
31	8.92	8.91319	8.89875	0.0144444	0.00680556
32	8.96	8.92808	8.92125	0.0068254	0.0319246
33	8.97	8.94016	8.9425	-0.00234127	0.0298413
34	8.99	8.95028	8.96083	-0.0105556	0.0397222
35	8.98	8.97808	8.97708	0.000992063	0.0019246
36	8.98	8.98325	8.9925	-0.00924603	-0.00325397
37	9.01	8.98778	9.00875	-0.0209722	0.0222222
38	9.01	9.01319	9.02458	-0.0113889	-0.00319444
39	9.03	9.04355	9.03833	0.00521825	-0.0135516
40	9.05	9.06153	9.05125	0.0102778	-0.0115278
41	9.05	9.08308	9.065	0.0180754	-0.0330754
42	9.05	9.07867	9.08	-0.00132937	-0.0286706
43	9.13	9.10819	9.09375	0.0144444	0.0218056
44	9.13	9.11308	9.10625	0.0068254	0.0169246
45	9.13	9.11808	9.12042	-0.00234127	0.0119246
46	9.14	9.12486	9.13542	-0.0105556	0.0151389
47	9.16	9.15183	9.15083	0.000992063	0.0081746
48	9.16	9.15825	9.1675	-0.00924603	0.00174603
49	9.16	9.16028	9.18125	-0.0209722	-0.000277778
50	9.16	9.18069	9.19208	-0.0113889	-0.0206944
51	9.22	9.20938	9.20417	0.00521825	0.0106151
52	9.22	9.22694	9.21667	0.0102778	-0.00694444
53	9.25	9.24933	9.23125	0.0180754	0.000674603
54	9.25	9.24909	9.25042	-0.00132937	0.000912698
55	9.26	9.28569	9.27125	0.0144444	-0.0256944
56	9.26	9.30058	9.29375	0.0068254	-0.0405754
57	9.29	9.31474	9.31708	-0.00234127	-0.0247421
58	9.28	9.32903	9.33958	-0.0105556	-0.0490278
59	9.37	9.36474	9.36375	0.000992063	0.00525794
60	9.41	9.3795	9.38875	-0.00924603	0.030496
61	9.41	9.39194	9.41292	-0.0209722	0.0180556
62	9.45	9.42569	9.43708	-0.0113889	0.0243056
63	9.49	9.46605	9.46083	0.00521825	0.0239484
64	9.49	9.49486	9.48458	0.0102778	-0.00486111
65	9.56	9.52349	9.50542	0.0180754	0.0365079
66	9.54	9.52034	9.52167	-0.00132937	0.0196627
67	9.55	9.55111	9.53667	0.0144444	-0.00111111
68	9.55	9.55683	9.55	0.0068254	-0.0068254
69	9.57	9.55849	9.56083	-0.00234127	0.0115079
70	9.57	9.56028	9.57083	-0.0105556	0.00972222
71	9.58	9.57933	9.57833	0.000992063	0.000674603
72	9.59	9.57492	9.58417	-0.00924603	0.0150794
73	9.59	9.56986	9.59083	-0.0209722	0.0201389
74	9.59	9.58694	9.59833	-0.0113889	0.00305556
75	9.61	9.61105	9.60583	0.00521825	-0.00105159
76	9.61	9.62403	9.61375	0.0102778	-0.0140278
77	9.62	9.64266	9.62458	0.0180754	-0.0226587
78	9.62	9.63534	9.63667	-0.00132937	-0.0153373
79	9.63	9.66278	9.64833	0.0144444	-0.0327778
80	9.65	9.66724	9.66042	0.0068254	-0.0172421
81	9.65	9.66724	9.66958	-0.00234127	-0.0172421
82	9.68	9.66486	9.67542	-0.0105556	0.0151389
83	9.73	9.68433	9.68333	0.000992063	0.0456746
84	9.73	9.68409	9.69333	-0.00924603	0.0459127
85	9.73	9.68278	9.70375	-0.0209722	0.0472222
86	9.74	9.70319	9.71458	-0.0113889	0.0368056
87	9.68	9.73105	9.72583	0.00521825	-0.0510516
88	9.68	9.74736	9.73708	0.0102778	-0.0673611
89	9.74	9.76516	9.74708	0.0180754	-0.0251587
90	9.74	9.75492	9.75625	-0.00132937	-0.0149206
91	9.76	NA	NA	0.0144444	NA
92	9.78	NA	NA	0.0068254	NA
93	9.79	NA	NA	-0.00234127	NA
94	9.81	NA	NA	-0.0105556	NA
95	9.84	NA	NA	0.000992063	NA
96	9.84	NA	NA	-0.00924603	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 8.09 & NA & NA & -0.0209722 & NA \tabularnewline
2 & 8.18 & NA & NA & -0.0113889 & NA \tabularnewline
3 & 8.26 & NA & NA & 0.00521825 & NA \tabularnewline
4 & 8.28 & NA & NA & 0.0102778 & NA \tabularnewline
5 & 8.28 & NA & NA & 0.0180754 & NA \tabularnewline
6 & 8.28 & NA & NA & -0.00132937 & NA \tabularnewline
7 & 8.29 & 8.29403 & 8.27958 & 0.0144444 & -0.00402778 \tabularnewline
8 & 8.3 & 8.30933 & 8.3025 & 0.0068254 & -0.0093254 \tabularnewline
9 & 8.3 & 8.32641 & 8.32875 & -0.00234127 & -0.0264087 \tabularnewline
10 & 8.31 & 8.34819 & 8.35875 & -0.0105556 & -0.0381944 \tabularnewline
11 & 8.33 & 8.39224 & 8.39125 & 0.000992063 & -0.0622421 \tabularnewline
12 & 8.33 & 8.4145 & 8.42375 & -0.00924603 & -0.084504 \tabularnewline
13 & 8.34 & 8.43653 & 8.4575 & -0.0209722 & -0.0965278 \tabularnewline
14 & 8.48 & 8.48111 & 8.4925 & -0.0113889 & -0.00111111 \tabularnewline
15 & 8.59 & 8.53272 & 8.5275 & 0.00521825 & 0.0572817 \tabularnewline
16 & 8.67 & 8.57236 & 8.56208 & 0.0102778 & 0.0976389 \tabularnewline
17 & 8.67 & 8.61433 & 8.59625 & 0.0180754 & 0.0556746 \tabularnewline
18 & 8.67 & 8.62909 & 8.63042 & -0.00132937 & 0.0409127 \tabularnewline
19 & 8.71 & 8.67861 & 8.66417 & 0.0144444 & 0.0313889 \tabularnewline
20 & 8.72 & 8.69849 & 8.69167 & 0.0068254 & 0.0215079 \tabularnewline
21 & 8.72 & 8.70849 & 8.71083 & -0.00234127 & 0.0115079 \tabularnewline
22 & 8.72 & 8.71611 & 8.72667 & -0.0105556 & 0.00388889 \tabularnewline
23 & 8.74 & 8.74308 & 8.74208 & 0.000992063 & -0.0030754 \tabularnewline
24 & 8.74 & 8.74909 & 8.75833 & -0.00924603 & -0.0090873 \tabularnewline
25 & 8.74 & 8.75444 & 8.77542 & -0.0209722 & -0.0144444 \tabularnewline
26 & 8.74 & 8.78278 & 8.79417 & -0.0113889 & -0.0427778 \tabularnewline
27 & 8.79 & 8.8198 & 8.81458 & 0.00521825 & -0.0298016 \tabularnewline
28 & 8.85 & 8.84653 & 8.83625 & 0.0102778 & 0.00347222 \tabularnewline
29 & 8.86 & 8.87558 & 8.8575 & 0.0180754 & -0.0155754 \tabularnewline
30 & 8.87 & 8.87617 & 8.8775 & -0.00132937 & -0.00617063 \tabularnewline
31 & 8.92 & 8.91319 & 8.89875 & 0.0144444 & 0.00680556 \tabularnewline
32 & 8.96 & 8.92808 & 8.92125 & 0.0068254 & 0.0319246 \tabularnewline
33 & 8.97 & 8.94016 & 8.9425 & -0.00234127 & 0.0298413 \tabularnewline
34 & 8.99 & 8.95028 & 8.96083 & -0.0105556 & 0.0397222 \tabularnewline
35 & 8.98 & 8.97808 & 8.97708 & 0.000992063 & 0.0019246 \tabularnewline
36 & 8.98 & 8.98325 & 8.9925 & -0.00924603 & -0.00325397 \tabularnewline
37 & 9.01 & 8.98778 & 9.00875 & -0.0209722 & 0.0222222 \tabularnewline
38 & 9.01 & 9.01319 & 9.02458 & -0.0113889 & -0.00319444 \tabularnewline
39 & 9.03 & 9.04355 & 9.03833 & 0.00521825 & -0.0135516 \tabularnewline
40 & 9.05 & 9.06153 & 9.05125 & 0.0102778 & -0.0115278 \tabularnewline
41 & 9.05 & 9.08308 & 9.065 & 0.0180754 & -0.0330754 \tabularnewline
42 & 9.05 & 9.07867 & 9.08 & -0.00132937 & -0.0286706 \tabularnewline
43 & 9.13 & 9.10819 & 9.09375 & 0.0144444 & 0.0218056 \tabularnewline
44 & 9.13 & 9.11308 & 9.10625 & 0.0068254 & 0.0169246 \tabularnewline
45 & 9.13 & 9.11808 & 9.12042 & -0.00234127 & 0.0119246 \tabularnewline
46 & 9.14 & 9.12486 & 9.13542 & -0.0105556 & 0.0151389 \tabularnewline
47 & 9.16 & 9.15183 & 9.15083 & 0.000992063 & 0.0081746 \tabularnewline
48 & 9.16 & 9.15825 & 9.1675 & -0.00924603 & 0.00174603 \tabularnewline
49 & 9.16 & 9.16028 & 9.18125 & -0.0209722 & -0.000277778 \tabularnewline
50 & 9.16 & 9.18069 & 9.19208 & -0.0113889 & -0.0206944 \tabularnewline
51 & 9.22 & 9.20938 & 9.20417 & 0.00521825 & 0.0106151 \tabularnewline
52 & 9.22 & 9.22694 & 9.21667 & 0.0102778 & -0.00694444 \tabularnewline
53 & 9.25 & 9.24933 & 9.23125 & 0.0180754 & 0.000674603 \tabularnewline
54 & 9.25 & 9.24909 & 9.25042 & -0.00132937 & 0.000912698 \tabularnewline
55 & 9.26 & 9.28569 & 9.27125 & 0.0144444 & -0.0256944 \tabularnewline
56 & 9.26 & 9.30058 & 9.29375 & 0.0068254 & -0.0405754 \tabularnewline
57 & 9.29 & 9.31474 & 9.31708 & -0.00234127 & -0.0247421 \tabularnewline
58 & 9.28 & 9.32903 & 9.33958 & -0.0105556 & -0.0490278 \tabularnewline
59 & 9.37 & 9.36474 & 9.36375 & 0.000992063 & 0.00525794 \tabularnewline
60 & 9.41 & 9.3795 & 9.38875 & -0.00924603 & 0.030496 \tabularnewline
61 & 9.41 & 9.39194 & 9.41292 & -0.0209722 & 0.0180556 \tabularnewline
62 & 9.45 & 9.42569 & 9.43708 & -0.0113889 & 0.0243056 \tabularnewline
63 & 9.49 & 9.46605 & 9.46083 & 0.00521825 & 0.0239484 \tabularnewline
64 & 9.49 & 9.49486 & 9.48458 & 0.0102778 & -0.00486111 \tabularnewline
65 & 9.56 & 9.52349 & 9.50542 & 0.0180754 & 0.0365079 \tabularnewline
66 & 9.54 & 9.52034 & 9.52167 & -0.00132937 & 0.0196627 \tabularnewline
67 & 9.55 & 9.55111 & 9.53667 & 0.0144444 & -0.00111111 \tabularnewline
68 & 9.55 & 9.55683 & 9.55 & 0.0068254 & -0.0068254 \tabularnewline
69 & 9.57 & 9.55849 & 9.56083 & -0.00234127 & 0.0115079 \tabularnewline
70 & 9.57 & 9.56028 & 9.57083 & -0.0105556 & 0.00972222 \tabularnewline
71 & 9.58 & 9.57933 & 9.57833 & 0.000992063 & 0.000674603 \tabularnewline
72 & 9.59 & 9.57492 & 9.58417 & -0.00924603 & 0.0150794 \tabularnewline
73 & 9.59 & 9.56986 & 9.59083 & -0.0209722 & 0.0201389 \tabularnewline
74 & 9.59 & 9.58694 & 9.59833 & -0.0113889 & 0.00305556 \tabularnewline
75 & 9.61 & 9.61105 & 9.60583 & 0.00521825 & -0.00105159 \tabularnewline
76 & 9.61 & 9.62403 & 9.61375 & 0.0102778 & -0.0140278 \tabularnewline
77 & 9.62 & 9.64266 & 9.62458 & 0.0180754 & -0.0226587 \tabularnewline
78 & 9.62 & 9.63534 & 9.63667 & -0.00132937 & -0.0153373 \tabularnewline
79 & 9.63 & 9.66278 & 9.64833 & 0.0144444 & -0.0327778 \tabularnewline
80 & 9.65 & 9.66724 & 9.66042 & 0.0068254 & -0.0172421 \tabularnewline
81 & 9.65 & 9.66724 & 9.66958 & -0.00234127 & -0.0172421 \tabularnewline
82 & 9.68 & 9.66486 & 9.67542 & -0.0105556 & 0.0151389 \tabularnewline
83 & 9.73 & 9.68433 & 9.68333 & 0.000992063 & 0.0456746 \tabularnewline
84 & 9.73 & 9.68409 & 9.69333 & -0.00924603 & 0.0459127 \tabularnewline
85 & 9.73 & 9.68278 & 9.70375 & -0.0209722 & 0.0472222 \tabularnewline
86 & 9.74 & 9.70319 & 9.71458 & -0.0113889 & 0.0368056 \tabularnewline
87 & 9.68 & 9.73105 & 9.72583 & 0.00521825 & -0.0510516 \tabularnewline
88 & 9.68 & 9.74736 & 9.73708 & 0.0102778 & -0.0673611 \tabularnewline
89 & 9.74 & 9.76516 & 9.74708 & 0.0180754 & -0.0251587 \tabularnewline
90 & 9.74 & 9.75492 & 9.75625 & -0.00132937 & -0.0149206 \tabularnewline
91 & 9.76 & NA & NA & 0.0144444 & NA \tabularnewline
92 & 9.78 & NA & NA & 0.0068254 & NA \tabularnewline
93 & 9.79 & NA & NA & -0.00234127 & NA \tabularnewline
94 & 9.81 & NA & NA & -0.0105556 & NA \tabularnewline
95 & 9.84 & NA & NA & 0.000992063 & NA \tabularnewline
96 & 9.84 & NA & NA & -0.00924603 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278506&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]8.09[/C][C]NA[/C][C]NA[/C][C]-0.0209722[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]8.18[/C][C]NA[/C][C]NA[/C][C]-0.0113889[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8.26[/C][C]NA[/C][C]NA[/C][C]0.00521825[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]8.28[/C][C]NA[/C][C]NA[/C][C]0.0102778[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]8.28[/C][C]NA[/C][C]NA[/C][C]0.0180754[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]8.28[/C][C]NA[/C][C]NA[/C][C]-0.00132937[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]8.29[/C][C]8.29403[/C][C]8.27958[/C][C]0.0144444[/C][C]-0.00402778[/C][/ROW]
[ROW][C]8[/C][C]8.3[/C][C]8.30933[/C][C]8.3025[/C][C]0.0068254[/C][C]-0.0093254[/C][/ROW]
[ROW][C]9[/C][C]8.3[/C][C]8.32641[/C][C]8.32875[/C][C]-0.00234127[/C][C]-0.0264087[/C][/ROW]
[ROW][C]10[/C][C]8.31[/C][C]8.34819[/C][C]8.35875[/C][C]-0.0105556[/C][C]-0.0381944[/C][/ROW]
[ROW][C]11[/C][C]8.33[/C][C]8.39224[/C][C]8.39125[/C][C]0.000992063[/C][C]-0.0622421[/C][/ROW]
[ROW][C]12[/C][C]8.33[/C][C]8.4145[/C][C]8.42375[/C][C]-0.00924603[/C][C]-0.084504[/C][/ROW]
[ROW][C]13[/C][C]8.34[/C][C]8.43653[/C][C]8.4575[/C][C]-0.0209722[/C][C]-0.0965278[/C][/ROW]
[ROW][C]14[/C][C]8.48[/C][C]8.48111[/C][C]8.4925[/C][C]-0.0113889[/C][C]-0.00111111[/C][/ROW]
[ROW][C]15[/C][C]8.59[/C][C]8.53272[/C][C]8.5275[/C][C]0.00521825[/C][C]0.0572817[/C][/ROW]
[ROW][C]16[/C][C]8.67[/C][C]8.57236[/C][C]8.56208[/C][C]0.0102778[/C][C]0.0976389[/C][/ROW]
[ROW][C]17[/C][C]8.67[/C][C]8.61433[/C][C]8.59625[/C][C]0.0180754[/C][C]0.0556746[/C][/ROW]
[ROW][C]18[/C][C]8.67[/C][C]8.62909[/C][C]8.63042[/C][C]-0.00132937[/C][C]0.0409127[/C][/ROW]
[ROW][C]19[/C][C]8.71[/C][C]8.67861[/C][C]8.66417[/C][C]0.0144444[/C][C]0.0313889[/C][/ROW]
[ROW][C]20[/C][C]8.72[/C][C]8.69849[/C][C]8.69167[/C][C]0.0068254[/C][C]0.0215079[/C][/ROW]
[ROW][C]21[/C][C]8.72[/C][C]8.70849[/C][C]8.71083[/C][C]-0.00234127[/C][C]0.0115079[/C][/ROW]
[ROW][C]22[/C][C]8.72[/C][C]8.71611[/C][C]8.72667[/C][C]-0.0105556[/C][C]0.00388889[/C][/ROW]
[ROW][C]23[/C][C]8.74[/C][C]8.74308[/C][C]8.74208[/C][C]0.000992063[/C][C]-0.0030754[/C][/ROW]
[ROW][C]24[/C][C]8.74[/C][C]8.74909[/C][C]8.75833[/C][C]-0.00924603[/C][C]-0.0090873[/C][/ROW]
[ROW][C]25[/C][C]8.74[/C][C]8.75444[/C][C]8.77542[/C][C]-0.0209722[/C][C]-0.0144444[/C][/ROW]
[ROW][C]26[/C][C]8.74[/C][C]8.78278[/C][C]8.79417[/C][C]-0.0113889[/C][C]-0.0427778[/C][/ROW]
[ROW][C]27[/C][C]8.79[/C][C]8.8198[/C][C]8.81458[/C][C]0.00521825[/C][C]-0.0298016[/C][/ROW]
[ROW][C]28[/C][C]8.85[/C][C]8.84653[/C][C]8.83625[/C][C]0.0102778[/C][C]0.00347222[/C][/ROW]
[ROW][C]29[/C][C]8.86[/C][C]8.87558[/C][C]8.8575[/C][C]0.0180754[/C][C]-0.0155754[/C][/ROW]
[ROW][C]30[/C][C]8.87[/C][C]8.87617[/C][C]8.8775[/C][C]-0.00132937[/C][C]-0.00617063[/C][/ROW]
[ROW][C]31[/C][C]8.92[/C][C]8.91319[/C][C]8.89875[/C][C]0.0144444[/C][C]0.00680556[/C][/ROW]
[ROW][C]32[/C][C]8.96[/C][C]8.92808[/C][C]8.92125[/C][C]0.0068254[/C][C]0.0319246[/C][/ROW]
[ROW][C]33[/C][C]8.97[/C][C]8.94016[/C][C]8.9425[/C][C]-0.00234127[/C][C]0.0298413[/C][/ROW]
[ROW][C]34[/C][C]8.99[/C][C]8.95028[/C][C]8.96083[/C][C]-0.0105556[/C][C]0.0397222[/C][/ROW]
[ROW][C]35[/C][C]8.98[/C][C]8.97808[/C][C]8.97708[/C][C]0.000992063[/C][C]0.0019246[/C][/ROW]
[ROW][C]36[/C][C]8.98[/C][C]8.98325[/C][C]8.9925[/C][C]-0.00924603[/C][C]-0.00325397[/C][/ROW]
[ROW][C]37[/C][C]9.01[/C][C]8.98778[/C][C]9.00875[/C][C]-0.0209722[/C][C]0.0222222[/C][/ROW]
[ROW][C]38[/C][C]9.01[/C][C]9.01319[/C][C]9.02458[/C][C]-0.0113889[/C][C]-0.00319444[/C][/ROW]
[ROW][C]39[/C][C]9.03[/C][C]9.04355[/C][C]9.03833[/C][C]0.00521825[/C][C]-0.0135516[/C][/ROW]
[ROW][C]40[/C][C]9.05[/C][C]9.06153[/C][C]9.05125[/C][C]0.0102778[/C][C]-0.0115278[/C][/ROW]
[ROW][C]41[/C][C]9.05[/C][C]9.08308[/C][C]9.065[/C][C]0.0180754[/C][C]-0.0330754[/C][/ROW]
[ROW][C]42[/C][C]9.05[/C][C]9.07867[/C][C]9.08[/C][C]-0.00132937[/C][C]-0.0286706[/C][/ROW]
[ROW][C]43[/C][C]9.13[/C][C]9.10819[/C][C]9.09375[/C][C]0.0144444[/C][C]0.0218056[/C][/ROW]
[ROW][C]44[/C][C]9.13[/C][C]9.11308[/C][C]9.10625[/C][C]0.0068254[/C][C]0.0169246[/C][/ROW]
[ROW][C]45[/C][C]9.13[/C][C]9.11808[/C][C]9.12042[/C][C]-0.00234127[/C][C]0.0119246[/C][/ROW]
[ROW][C]46[/C][C]9.14[/C][C]9.12486[/C][C]9.13542[/C][C]-0.0105556[/C][C]0.0151389[/C][/ROW]
[ROW][C]47[/C][C]9.16[/C][C]9.15183[/C][C]9.15083[/C][C]0.000992063[/C][C]0.0081746[/C][/ROW]
[ROW][C]48[/C][C]9.16[/C][C]9.15825[/C][C]9.1675[/C][C]-0.00924603[/C][C]0.00174603[/C][/ROW]
[ROW][C]49[/C][C]9.16[/C][C]9.16028[/C][C]9.18125[/C][C]-0.0209722[/C][C]-0.000277778[/C][/ROW]
[ROW][C]50[/C][C]9.16[/C][C]9.18069[/C][C]9.19208[/C][C]-0.0113889[/C][C]-0.0206944[/C][/ROW]
[ROW][C]51[/C][C]9.22[/C][C]9.20938[/C][C]9.20417[/C][C]0.00521825[/C][C]0.0106151[/C][/ROW]
[ROW][C]52[/C][C]9.22[/C][C]9.22694[/C][C]9.21667[/C][C]0.0102778[/C][C]-0.00694444[/C][/ROW]
[ROW][C]53[/C][C]9.25[/C][C]9.24933[/C][C]9.23125[/C][C]0.0180754[/C][C]0.000674603[/C][/ROW]
[ROW][C]54[/C][C]9.25[/C][C]9.24909[/C][C]9.25042[/C][C]-0.00132937[/C][C]0.000912698[/C][/ROW]
[ROW][C]55[/C][C]9.26[/C][C]9.28569[/C][C]9.27125[/C][C]0.0144444[/C][C]-0.0256944[/C][/ROW]
[ROW][C]56[/C][C]9.26[/C][C]9.30058[/C][C]9.29375[/C][C]0.0068254[/C][C]-0.0405754[/C][/ROW]
[ROW][C]57[/C][C]9.29[/C][C]9.31474[/C][C]9.31708[/C][C]-0.00234127[/C][C]-0.0247421[/C][/ROW]
[ROW][C]58[/C][C]9.28[/C][C]9.32903[/C][C]9.33958[/C][C]-0.0105556[/C][C]-0.0490278[/C][/ROW]
[ROW][C]59[/C][C]9.37[/C][C]9.36474[/C][C]9.36375[/C][C]0.000992063[/C][C]0.00525794[/C][/ROW]
[ROW][C]60[/C][C]9.41[/C][C]9.3795[/C][C]9.38875[/C][C]-0.00924603[/C][C]0.030496[/C][/ROW]
[ROW][C]61[/C][C]9.41[/C][C]9.39194[/C][C]9.41292[/C][C]-0.0209722[/C][C]0.0180556[/C][/ROW]
[ROW][C]62[/C][C]9.45[/C][C]9.42569[/C][C]9.43708[/C][C]-0.0113889[/C][C]0.0243056[/C][/ROW]
[ROW][C]63[/C][C]9.49[/C][C]9.46605[/C][C]9.46083[/C][C]0.00521825[/C][C]0.0239484[/C][/ROW]
[ROW][C]64[/C][C]9.49[/C][C]9.49486[/C][C]9.48458[/C][C]0.0102778[/C][C]-0.00486111[/C][/ROW]
[ROW][C]65[/C][C]9.56[/C][C]9.52349[/C][C]9.50542[/C][C]0.0180754[/C][C]0.0365079[/C][/ROW]
[ROW][C]66[/C][C]9.54[/C][C]9.52034[/C][C]9.52167[/C][C]-0.00132937[/C][C]0.0196627[/C][/ROW]
[ROW][C]67[/C][C]9.55[/C][C]9.55111[/C][C]9.53667[/C][C]0.0144444[/C][C]-0.00111111[/C][/ROW]
[ROW][C]68[/C][C]9.55[/C][C]9.55683[/C][C]9.55[/C][C]0.0068254[/C][C]-0.0068254[/C][/ROW]
[ROW][C]69[/C][C]9.57[/C][C]9.55849[/C][C]9.56083[/C][C]-0.00234127[/C][C]0.0115079[/C][/ROW]
[ROW][C]70[/C][C]9.57[/C][C]9.56028[/C][C]9.57083[/C][C]-0.0105556[/C][C]0.00972222[/C][/ROW]
[ROW][C]71[/C][C]9.58[/C][C]9.57933[/C][C]9.57833[/C][C]0.000992063[/C][C]0.000674603[/C][/ROW]
[ROW][C]72[/C][C]9.59[/C][C]9.57492[/C][C]9.58417[/C][C]-0.00924603[/C][C]0.0150794[/C][/ROW]
[ROW][C]73[/C][C]9.59[/C][C]9.56986[/C][C]9.59083[/C][C]-0.0209722[/C][C]0.0201389[/C][/ROW]
[ROW][C]74[/C][C]9.59[/C][C]9.58694[/C][C]9.59833[/C][C]-0.0113889[/C][C]0.00305556[/C][/ROW]
[ROW][C]75[/C][C]9.61[/C][C]9.61105[/C][C]9.60583[/C][C]0.00521825[/C][C]-0.00105159[/C][/ROW]
[ROW][C]76[/C][C]9.61[/C][C]9.62403[/C][C]9.61375[/C][C]0.0102778[/C][C]-0.0140278[/C][/ROW]
[ROW][C]77[/C][C]9.62[/C][C]9.64266[/C][C]9.62458[/C][C]0.0180754[/C][C]-0.0226587[/C][/ROW]
[ROW][C]78[/C][C]9.62[/C][C]9.63534[/C][C]9.63667[/C][C]-0.00132937[/C][C]-0.0153373[/C][/ROW]
[ROW][C]79[/C][C]9.63[/C][C]9.66278[/C][C]9.64833[/C][C]0.0144444[/C][C]-0.0327778[/C][/ROW]
[ROW][C]80[/C][C]9.65[/C][C]9.66724[/C][C]9.66042[/C][C]0.0068254[/C][C]-0.0172421[/C][/ROW]
[ROW][C]81[/C][C]9.65[/C][C]9.66724[/C][C]9.66958[/C][C]-0.00234127[/C][C]-0.0172421[/C][/ROW]
[ROW][C]82[/C][C]9.68[/C][C]9.66486[/C][C]9.67542[/C][C]-0.0105556[/C][C]0.0151389[/C][/ROW]
[ROW][C]83[/C][C]9.73[/C][C]9.68433[/C][C]9.68333[/C][C]0.000992063[/C][C]0.0456746[/C][/ROW]
[ROW][C]84[/C][C]9.73[/C][C]9.68409[/C][C]9.69333[/C][C]-0.00924603[/C][C]0.0459127[/C][/ROW]
[ROW][C]85[/C][C]9.73[/C][C]9.68278[/C][C]9.70375[/C][C]-0.0209722[/C][C]0.0472222[/C][/ROW]
[ROW][C]86[/C][C]9.74[/C][C]9.70319[/C][C]9.71458[/C][C]-0.0113889[/C][C]0.0368056[/C][/ROW]
[ROW][C]87[/C][C]9.68[/C][C]9.73105[/C][C]9.72583[/C][C]0.00521825[/C][C]-0.0510516[/C][/ROW]
[ROW][C]88[/C][C]9.68[/C][C]9.74736[/C][C]9.73708[/C][C]0.0102778[/C][C]-0.0673611[/C][/ROW]
[ROW][C]89[/C][C]9.74[/C][C]9.76516[/C][C]9.74708[/C][C]0.0180754[/C][C]-0.0251587[/C][/ROW]
[ROW][C]90[/C][C]9.74[/C][C]9.75492[/C][C]9.75625[/C][C]-0.00132937[/C][C]-0.0149206[/C][/ROW]
[ROW][C]91[/C][C]9.76[/C][C]NA[/C][C]NA[/C][C]0.0144444[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]9.78[/C][C]NA[/C][C]NA[/C][C]0.0068254[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]9.79[/C][C]NA[/C][C]NA[/C][C]-0.00234127[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]9.81[/C][C]NA[/C][C]NA[/C][C]-0.0105556[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]9.84[/C][C]NA[/C][C]NA[/C][C]0.000992063[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]9.84[/C][C]NA[/C][C]NA[/C][C]-0.00924603[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278506&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278506&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	8.09	NA	NA	-0.0209722	NA
2	8.18	NA	NA	-0.0113889	NA
3	8.26	NA	NA	0.00521825	NA
4	8.28	NA	NA	0.0102778	NA
5	8.28	NA	NA	0.0180754	NA
6	8.28	NA	NA	-0.00132937	NA
7	8.29	8.29403	8.27958	0.0144444	-0.00402778
8	8.3	8.30933	8.3025	0.0068254	-0.0093254
9	8.3	8.32641	8.32875	-0.00234127	-0.0264087
10	8.31	8.34819	8.35875	-0.0105556	-0.0381944
11	8.33	8.39224	8.39125	0.000992063	-0.0622421
12	8.33	8.4145	8.42375	-0.00924603	-0.084504
13	8.34	8.43653	8.4575	-0.0209722	-0.0965278
14	8.48	8.48111	8.4925	-0.0113889	-0.00111111
15	8.59	8.53272	8.5275	0.00521825	0.0572817
16	8.67	8.57236	8.56208	0.0102778	0.0976389
17	8.67	8.61433	8.59625	0.0180754	0.0556746
18	8.67	8.62909	8.63042	-0.00132937	0.0409127
19	8.71	8.67861	8.66417	0.0144444	0.0313889
20	8.72	8.69849	8.69167	0.0068254	0.0215079
21	8.72	8.70849	8.71083	-0.00234127	0.0115079
22	8.72	8.71611	8.72667	-0.0105556	0.00388889
23	8.74	8.74308	8.74208	0.000992063	-0.0030754
24	8.74	8.74909	8.75833	-0.00924603	-0.0090873
25	8.74	8.75444	8.77542	-0.0209722	-0.0144444
26	8.74	8.78278	8.79417	-0.0113889	-0.0427778
27	8.79	8.8198	8.81458	0.00521825	-0.0298016
28	8.85	8.84653	8.83625	0.0102778	0.00347222
29	8.86	8.87558	8.8575	0.0180754	-0.0155754
30	8.87	8.87617	8.8775	-0.00132937	-0.00617063
31	8.92	8.91319	8.89875	0.0144444	0.00680556
32	8.96	8.92808	8.92125	0.0068254	0.0319246
33	8.97	8.94016	8.9425	-0.00234127	0.0298413
34	8.99	8.95028	8.96083	-0.0105556	0.0397222
35	8.98	8.97808	8.97708	0.000992063	0.0019246
36	8.98	8.98325	8.9925	-0.00924603	-0.00325397
37	9.01	8.98778	9.00875	-0.0209722	0.0222222
38	9.01	9.01319	9.02458	-0.0113889	-0.00319444
39	9.03	9.04355	9.03833	0.00521825	-0.0135516
40	9.05	9.06153	9.05125	0.0102778	-0.0115278
41	9.05	9.08308	9.065	0.0180754	-0.0330754
42	9.05	9.07867	9.08	-0.00132937	-0.0286706
43	9.13	9.10819	9.09375	0.0144444	0.0218056
44	9.13	9.11308	9.10625	0.0068254	0.0169246
45	9.13	9.11808	9.12042	-0.00234127	0.0119246
46	9.14	9.12486	9.13542	-0.0105556	0.0151389
47	9.16	9.15183	9.15083	0.000992063	0.0081746
48	9.16	9.15825	9.1675	-0.00924603	0.00174603
49	9.16	9.16028	9.18125	-0.0209722	-0.000277778
50	9.16	9.18069	9.19208	-0.0113889	-0.0206944
51	9.22	9.20938	9.20417	0.00521825	0.0106151
52	9.22	9.22694	9.21667	0.0102778	-0.00694444
53	9.25	9.24933	9.23125	0.0180754	0.000674603
54	9.25	9.24909	9.25042	-0.00132937	0.000912698
55	9.26	9.28569	9.27125	0.0144444	-0.0256944
56	9.26	9.30058	9.29375	0.0068254	-0.0405754
57	9.29	9.31474	9.31708	-0.00234127	-0.0247421
58	9.28	9.32903	9.33958	-0.0105556	-0.0490278
59	9.37	9.36474	9.36375	0.000992063	0.00525794
60	9.41	9.3795	9.38875	-0.00924603	0.030496
61	9.41	9.39194	9.41292	-0.0209722	0.0180556
62	9.45	9.42569	9.43708	-0.0113889	0.0243056
63	9.49	9.46605	9.46083	0.00521825	0.0239484
64	9.49	9.49486	9.48458	0.0102778	-0.00486111
65	9.56	9.52349	9.50542	0.0180754	0.0365079
66	9.54	9.52034	9.52167	-0.00132937	0.0196627
67	9.55	9.55111	9.53667	0.0144444	-0.00111111
68	9.55	9.55683	9.55	0.0068254	-0.0068254
69	9.57	9.55849	9.56083	-0.00234127	0.0115079
70	9.57	9.56028	9.57083	-0.0105556	0.00972222
71	9.58	9.57933	9.57833	0.000992063	0.000674603
72	9.59	9.57492	9.58417	-0.00924603	0.0150794
73	9.59	9.56986	9.59083	-0.0209722	0.0201389
74	9.59	9.58694	9.59833	-0.0113889	0.00305556
75	9.61	9.61105	9.60583	0.00521825	-0.00105159
76	9.61	9.62403	9.61375	0.0102778	-0.0140278
77	9.62	9.64266	9.62458	0.0180754	-0.0226587
78	9.62	9.63534	9.63667	-0.00132937	-0.0153373
79	9.63	9.66278	9.64833	0.0144444	-0.0327778
80	9.65	9.66724	9.66042	0.0068254	-0.0172421
81	9.65	9.66724	9.66958	-0.00234127	-0.0172421
82	9.68	9.66486	9.67542	-0.0105556	0.0151389
83	9.73	9.68433	9.68333	0.000992063	0.0456746
84	9.73	9.68409	9.69333	-0.00924603	0.0459127
85	9.73	9.68278	9.70375	-0.0209722	0.0472222
86	9.74	9.70319	9.71458	-0.0113889	0.0368056
87	9.68	9.73105	9.72583	0.00521825	-0.0510516
88	9.68	9.74736	9.73708	0.0102778	-0.0673611
89	9.74	9.76516	9.74708	0.0180754	-0.0251587
90	9.74	9.75492	9.75625	-0.00132937	-0.0149206
91	9.76	NA	NA	0.0144444	NA
92	9.78	NA	NA	0.0068254	NA
93	9.79	NA	NA	-0.00234127	NA
94	9.81	NA	NA	-0.0105556	NA
95	9.84	NA	NA	0.000992063	NA
96	9.84	NA	NA	-0.00924603	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 <- '12'
par1 <- 'additive'
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