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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 12 May 2014 16:51:09 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/May/12/t1399927933xy7h7nis3zlzfyh.htm/, Retrieved Thu, 16 May 2024 02:29:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234853, Retrieved Thu, 16 May 2024 02:29:58 +0000

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Estimated Impact

122

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-       [Classical Decomposition] [] [2014-05-12 20:51:09] [96ebdc07ff9a2e15bbb43047b24a21ad] [Current]

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7,72
7,67
7,84
7,79
7,83
7,94
8,02
8,06
8,12
8,13
7,97
8,01
8
7,9
7,99
8,02
8,08
8,02
8,07
8,11
8,19
8,16
8,08
8,22
8,15
8,19
8,31
8,3
8,34
8,31
8,38
8,34
8,44
8,64
8,6
8,61
8,54
8,69
8,73
8,91
9,01
9,08
8,94
9,03
9,02
8,96
9,03
8,94
8,95
8,95
8,99
8,93
8,98
8,95
9,02
8,92
9,1
9,06
8,97
8,89
8,99
8,79
8,83
8,61
8,71
8,91
8,91
8,89
8,98
9
8,99
8,88
8,93
8,96
9,21
9,08
9,11
9,12
9,2
9,43
9,64
9,72
9,72
9,62

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234853&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234853&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234853&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	7.72	NA	NA	-0.0402662	NA
2	7.67	NA	NA	-0.0713079	NA
3	7.84	NA	NA	0.00528935	NA
4	7.79	NA	NA	-0.0513079	NA
5	7.83	NA	NA	-0.011169	NA
6	7.94	NA	NA	-0.00783565	NA
7	8.02	7.96536	7.93667	0.0286921	0.0546412
8	8.06	7.97091	7.95792	0.0129977	0.0890856
9	8.12	8.05161	7.97375	0.0778588	0.0683912
10	8.13	8.06564	7.98958	0.0760532	0.0643634
11	7.97	8.01612	8.00958	0.00653935	-0.0461227
12	8.01	7.99779	8.02333	-0.025544	0.0122106
13	8	7.98848	8.02875	-0.0402662	0.0115162
14	7.9	7.96161	8.03292	-0.0713079	-0.0616088
15	7.99	8.04321	8.03792	0.00528935	-0.053206
16	8.02	7.99078	8.04208	-0.0513079	0.0292245
17	8.08	8.03675	8.04792	-0.011169	0.0432523
18	8.02	8.05341	8.06125	-0.00783565	-0.0334144
19	8.07	8.10494	8.07625	0.0286921	-0.0349421
20	8.11	8.10758	8.09458	0.0129977	0.00241898
21	8.19	8.19786	8.12	0.0778588	-0.0078588
22	8.16	8.22105	8.145	0.0760532	-0.0610532
23	8.08	8.17404	8.1675	0.00653935	-0.0940394
24	8.22	8.16487	8.19042	-0.025544	0.0551273
25	8.15	8.17515	8.21542	-0.0402662	-0.0251505
26	8.19	8.16661	8.23792	-0.0713079	0.0233912
27	8.31	8.26321	8.25792	0.00528935	0.046794
28	8.3	8.23703	8.28833	-0.0513079	0.0629745
29	8.34	8.31883	8.33	-0.011169	0.021169
30	8.31	8.36008	8.36792	-0.00783565	-0.050081
31	8.38	8.42911	8.40042	0.0286921	-0.0491088
32	8.34	8.4505	8.4375	0.0129977	-0.110498
33	8.44	8.55369	8.47583	0.0778588	-0.113692
34	8.64	8.5948	8.51875	0.0760532	0.0451968
35	8.6	8.57862	8.57208	0.00653935	0.0213773
36	8.61	8.60654	8.63208	-0.025544	0.00346065
37	8.54	8.64723	8.6875	-0.0402662	-0.107234
38	8.69	8.66828	8.73958	-0.0713079	0.0217245
39	8.73	8.79779	8.7925	0.00528935	-0.0677894
40	8.91	8.77869	8.83	-0.0513079	0.131308
41	9.01	8.85008	8.86125	-0.011169	0.159919
42	9.08	8.88508	8.89292	-0.00783565	0.194919
43	8.94	8.95244	8.92375	0.0286921	-0.0124421
44	9.03	8.96466	8.95167	0.0129977	0.0653356
45	9.02	9.05119	8.97333	0.0778588	-0.0311921
46	8.96	9.06105	8.985	0.0760532	-0.101053
47	9.03	8.99112	8.98458	0.00653935	0.0388773
48	8.94	8.95237	8.97792	-0.025544	-0.0123727
49	8.95	8.93557	8.97583	-0.0402662	0.0144329
50	8.95	8.90328	8.97458	-0.0713079	0.0467245
51	8.99	8.97862	8.97333	0.00528935	0.0113773
52	8.93	8.92953	8.98083	-0.0513079	0.000474537
53	8.98	8.97133	8.9825	-0.011169	0.00866898
54	8.95	8.97008	8.97792	-0.00783565	-0.020081
55	9.02	9.00619	8.9775	0.0286921	0.0138079
56	8.92	8.9855	8.9725	0.0129977	-0.0654977
57	9.1	9.03703	8.95917	0.0778588	0.0629745
58	9.06	9.01522	8.93917	0.0760532	0.0447801
59	8.97	8.92112	8.91458	0.00653935	0.0488773
60	8.89	8.87612	8.90167	-0.025544	0.0138773
61	8.99	8.85515	8.89542	-0.0402662	0.13485
62	8.79	8.81828	8.88958	-0.0713079	-0.0282755
63	8.83	8.88862	8.88333	0.00528935	-0.0586227
64	8.61	8.82453	8.87583	-0.0513079	-0.214525
65	8.71	8.863	8.87417	-0.011169	-0.152998
66	8.91	8.86675	8.87458	-0.00783565	0.0432523
67	8.91	8.90036	8.87167	0.0286921	0.0096412
68	8.89	8.88925	8.87625	0.0129977	0.000752315
69	8.98	8.97703	8.89917	0.0778588	0.00297454
70	9	9.01064	8.93458	0.0760532	-0.0106366
71	8.99	8.97737	8.97083	0.00653935	0.0126273
72	8.88	8.97071	8.99625	-0.025544	-0.090706
73	8.93	8.97682	9.01708	-0.0402662	-0.0468171
74	8.96	8.98036	9.05167	-0.0713079	-0.0203588
75	9.21	9.10696	9.10167	0.00528935	0.103044
76	9.08	9.10786	9.15917	-0.0513079	-0.0278588
77	9.11	9.20841	9.21958	-0.011169	-0.0984144
78	9.12	9.273	9.28083	-0.00783565	-0.152998
79	9.2	NA	NA	0.0286921	NA
80	9.43	NA	NA	0.0129977	NA
81	9.64	NA	NA	0.0778588	NA
82	9.72	NA	NA	0.0760532	NA
83	9.72	NA	NA	0.00653935	NA
84	9.62	NA	NA	-0.025544	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 7.72 & NA & NA & -0.0402662 & NA \tabularnewline
2 & 7.67 & NA & NA & -0.0713079 & NA \tabularnewline
3 & 7.84 & NA & NA & 0.00528935 & NA \tabularnewline
4 & 7.79 & NA & NA & -0.0513079 & NA \tabularnewline
5 & 7.83 & NA & NA & -0.011169 & NA \tabularnewline
6 & 7.94 & NA & NA & -0.00783565 & NA \tabularnewline
7 & 8.02 & 7.96536 & 7.93667 & 0.0286921 & 0.0546412 \tabularnewline
8 & 8.06 & 7.97091 & 7.95792 & 0.0129977 & 0.0890856 \tabularnewline
9 & 8.12 & 8.05161 & 7.97375 & 0.0778588 & 0.0683912 \tabularnewline
10 & 8.13 & 8.06564 & 7.98958 & 0.0760532 & 0.0643634 \tabularnewline
11 & 7.97 & 8.01612 & 8.00958 & 0.00653935 & -0.0461227 \tabularnewline
12 & 8.01 & 7.99779 & 8.02333 & -0.025544 & 0.0122106 \tabularnewline
13 & 8 & 7.98848 & 8.02875 & -0.0402662 & 0.0115162 \tabularnewline
14 & 7.9 & 7.96161 & 8.03292 & -0.0713079 & -0.0616088 \tabularnewline
15 & 7.99 & 8.04321 & 8.03792 & 0.00528935 & -0.053206 \tabularnewline
16 & 8.02 & 7.99078 & 8.04208 & -0.0513079 & 0.0292245 \tabularnewline
17 & 8.08 & 8.03675 & 8.04792 & -0.011169 & 0.0432523 \tabularnewline
18 & 8.02 & 8.05341 & 8.06125 & -0.00783565 & -0.0334144 \tabularnewline
19 & 8.07 & 8.10494 & 8.07625 & 0.0286921 & -0.0349421 \tabularnewline
20 & 8.11 & 8.10758 & 8.09458 & 0.0129977 & 0.00241898 \tabularnewline
21 & 8.19 & 8.19786 & 8.12 & 0.0778588 & -0.0078588 \tabularnewline
22 & 8.16 & 8.22105 & 8.145 & 0.0760532 & -0.0610532 \tabularnewline
23 & 8.08 & 8.17404 & 8.1675 & 0.00653935 & -0.0940394 \tabularnewline
24 & 8.22 & 8.16487 & 8.19042 & -0.025544 & 0.0551273 \tabularnewline
25 & 8.15 & 8.17515 & 8.21542 & -0.0402662 & -0.0251505 \tabularnewline
26 & 8.19 & 8.16661 & 8.23792 & -0.0713079 & 0.0233912 \tabularnewline
27 & 8.31 & 8.26321 & 8.25792 & 0.00528935 & 0.046794 \tabularnewline
28 & 8.3 & 8.23703 & 8.28833 & -0.0513079 & 0.0629745 \tabularnewline
29 & 8.34 & 8.31883 & 8.33 & -0.011169 & 0.021169 \tabularnewline
30 & 8.31 & 8.36008 & 8.36792 & -0.00783565 & -0.050081 \tabularnewline
31 & 8.38 & 8.42911 & 8.40042 & 0.0286921 & -0.0491088 \tabularnewline
32 & 8.34 & 8.4505 & 8.4375 & 0.0129977 & -0.110498 \tabularnewline
33 & 8.44 & 8.55369 & 8.47583 & 0.0778588 & -0.113692 \tabularnewline
34 & 8.64 & 8.5948 & 8.51875 & 0.0760532 & 0.0451968 \tabularnewline
35 & 8.6 & 8.57862 & 8.57208 & 0.00653935 & 0.0213773 \tabularnewline
36 & 8.61 & 8.60654 & 8.63208 & -0.025544 & 0.00346065 \tabularnewline
37 & 8.54 & 8.64723 & 8.6875 & -0.0402662 & -0.107234 \tabularnewline
38 & 8.69 & 8.66828 & 8.73958 & -0.0713079 & 0.0217245 \tabularnewline
39 & 8.73 & 8.79779 & 8.7925 & 0.00528935 & -0.0677894 \tabularnewline
40 & 8.91 & 8.77869 & 8.83 & -0.0513079 & 0.131308 \tabularnewline
41 & 9.01 & 8.85008 & 8.86125 & -0.011169 & 0.159919 \tabularnewline
42 & 9.08 & 8.88508 & 8.89292 & -0.00783565 & 0.194919 \tabularnewline
43 & 8.94 & 8.95244 & 8.92375 & 0.0286921 & -0.0124421 \tabularnewline
44 & 9.03 & 8.96466 & 8.95167 & 0.0129977 & 0.0653356 \tabularnewline
45 & 9.02 & 9.05119 & 8.97333 & 0.0778588 & -0.0311921 \tabularnewline
46 & 8.96 & 9.06105 & 8.985 & 0.0760532 & -0.101053 \tabularnewline
47 & 9.03 & 8.99112 & 8.98458 & 0.00653935 & 0.0388773 \tabularnewline
48 & 8.94 & 8.95237 & 8.97792 & -0.025544 & -0.0123727 \tabularnewline
49 & 8.95 & 8.93557 & 8.97583 & -0.0402662 & 0.0144329 \tabularnewline
50 & 8.95 & 8.90328 & 8.97458 & -0.0713079 & 0.0467245 \tabularnewline
51 & 8.99 & 8.97862 & 8.97333 & 0.00528935 & 0.0113773 \tabularnewline
52 & 8.93 & 8.92953 & 8.98083 & -0.0513079 & 0.000474537 \tabularnewline
53 & 8.98 & 8.97133 & 8.9825 & -0.011169 & 0.00866898 \tabularnewline
54 & 8.95 & 8.97008 & 8.97792 & -0.00783565 & -0.020081 \tabularnewline
55 & 9.02 & 9.00619 & 8.9775 & 0.0286921 & 0.0138079 \tabularnewline
56 & 8.92 & 8.9855 & 8.9725 & 0.0129977 & -0.0654977 \tabularnewline
57 & 9.1 & 9.03703 & 8.95917 & 0.0778588 & 0.0629745 \tabularnewline
58 & 9.06 & 9.01522 & 8.93917 & 0.0760532 & 0.0447801 \tabularnewline
59 & 8.97 & 8.92112 & 8.91458 & 0.00653935 & 0.0488773 \tabularnewline
60 & 8.89 & 8.87612 & 8.90167 & -0.025544 & 0.0138773 \tabularnewline
61 & 8.99 & 8.85515 & 8.89542 & -0.0402662 & 0.13485 \tabularnewline
62 & 8.79 & 8.81828 & 8.88958 & -0.0713079 & -0.0282755 \tabularnewline
63 & 8.83 & 8.88862 & 8.88333 & 0.00528935 & -0.0586227 \tabularnewline
64 & 8.61 & 8.82453 & 8.87583 & -0.0513079 & -0.214525 \tabularnewline
65 & 8.71 & 8.863 & 8.87417 & -0.011169 & -0.152998 \tabularnewline
66 & 8.91 & 8.86675 & 8.87458 & -0.00783565 & 0.0432523 \tabularnewline
67 & 8.91 & 8.90036 & 8.87167 & 0.0286921 & 0.0096412 \tabularnewline
68 & 8.89 & 8.88925 & 8.87625 & 0.0129977 & 0.000752315 \tabularnewline
69 & 8.98 & 8.97703 & 8.89917 & 0.0778588 & 0.00297454 \tabularnewline
70 & 9 & 9.01064 & 8.93458 & 0.0760532 & -0.0106366 \tabularnewline
71 & 8.99 & 8.97737 & 8.97083 & 0.00653935 & 0.0126273 \tabularnewline
72 & 8.88 & 8.97071 & 8.99625 & -0.025544 & -0.090706 \tabularnewline
73 & 8.93 & 8.97682 & 9.01708 & -0.0402662 & -0.0468171 \tabularnewline
74 & 8.96 & 8.98036 & 9.05167 & -0.0713079 & -0.0203588 \tabularnewline
75 & 9.21 & 9.10696 & 9.10167 & 0.00528935 & 0.103044 \tabularnewline
76 & 9.08 & 9.10786 & 9.15917 & -0.0513079 & -0.0278588 \tabularnewline
77 & 9.11 & 9.20841 & 9.21958 & -0.011169 & -0.0984144 \tabularnewline
78 & 9.12 & 9.273 & 9.28083 & -0.00783565 & -0.152998 \tabularnewline
79 & 9.2 & NA & NA & 0.0286921 & NA \tabularnewline
80 & 9.43 & NA & NA & 0.0129977 & NA \tabularnewline
81 & 9.64 & NA & NA & 0.0778588 & NA \tabularnewline
82 & 9.72 & NA & NA & 0.0760532 & NA \tabularnewline
83 & 9.72 & NA & NA & 0.00653935 & NA \tabularnewline
84 & 9.62 & NA & NA & -0.025544 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234853&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]7.72[/C][C]NA[/C][C]NA[/C][C]-0.0402662[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]7.67[/C][C]NA[/C][C]NA[/C][C]-0.0713079[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]7.84[/C][C]NA[/C][C]NA[/C][C]0.00528935[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]7.79[/C][C]NA[/C][C]NA[/C][C]-0.0513079[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7.83[/C][C]NA[/C][C]NA[/C][C]-0.011169[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7.94[/C][C]NA[/C][C]NA[/C][C]-0.00783565[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]8.02[/C][C]7.96536[/C][C]7.93667[/C][C]0.0286921[/C][C]0.0546412[/C][/ROW]
[ROW][C]8[/C][C]8.06[/C][C]7.97091[/C][C]7.95792[/C][C]0.0129977[/C][C]0.0890856[/C][/ROW]
[ROW][C]9[/C][C]8.12[/C][C]8.05161[/C][C]7.97375[/C][C]0.0778588[/C][C]0.0683912[/C][/ROW]
[ROW][C]10[/C][C]8.13[/C][C]8.06564[/C][C]7.98958[/C][C]0.0760532[/C][C]0.0643634[/C][/ROW]
[ROW][C]11[/C][C]7.97[/C][C]8.01612[/C][C]8.00958[/C][C]0.00653935[/C][C]-0.0461227[/C][/ROW]
[ROW][C]12[/C][C]8.01[/C][C]7.99779[/C][C]8.02333[/C][C]-0.025544[/C][C]0.0122106[/C][/ROW]
[ROW][C]13[/C][C]8[/C][C]7.98848[/C][C]8.02875[/C][C]-0.0402662[/C][C]0.0115162[/C][/ROW]
[ROW][C]14[/C][C]7.9[/C][C]7.96161[/C][C]8.03292[/C][C]-0.0713079[/C][C]-0.0616088[/C][/ROW]
[ROW][C]15[/C][C]7.99[/C][C]8.04321[/C][C]8.03792[/C][C]0.00528935[/C][C]-0.053206[/C][/ROW]
[ROW][C]16[/C][C]8.02[/C][C]7.99078[/C][C]8.04208[/C][C]-0.0513079[/C][C]0.0292245[/C][/ROW]
[ROW][C]17[/C][C]8.08[/C][C]8.03675[/C][C]8.04792[/C][C]-0.011169[/C][C]0.0432523[/C][/ROW]
[ROW][C]18[/C][C]8.02[/C][C]8.05341[/C][C]8.06125[/C][C]-0.00783565[/C][C]-0.0334144[/C][/ROW]
[ROW][C]19[/C][C]8.07[/C][C]8.10494[/C][C]8.07625[/C][C]0.0286921[/C][C]-0.0349421[/C][/ROW]
[ROW][C]20[/C][C]8.11[/C][C]8.10758[/C][C]8.09458[/C][C]0.0129977[/C][C]0.00241898[/C][/ROW]
[ROW][C]21[/C][C]8.19[/C][C]8.19786[/C][C]8.12[/C][C]0.0778588[/C][C]-0.0078588[/C][/ROW]
[ROW][C]22[/C][C]8.16[/C][C]8.22105[/C][C]8.145[/C][C]0.0760532[/C][C]-0.0610532[/C][/ROW]
[ROW][C]23[/C][C]8.08[/C][C]8.17404[/C][C]8.1675[/C][C]0.00653935[/C][C]-0.0940394[/C][/ROW]
[ROW][C]24[/C][C]8.22[/C][C]8.16487[/C][C]8.19042[/C][C]-0.025544[/C][C]0.0551273[/C][/ROW]
[ROW][C]25[/C][C]8.15[/C][C]8.17515[/C][C]8.21542[/C][C]-0.0402662[/C][C]-0.0251505[/C][/ROW]
[ROW][C]26[/C][C]8.19[/C][C]8.16661[/C][C]8.23792[/C][C]-0.0713079[/C][C]0.0233912[/C][/ROW]
[ROW][C]27[/C][C]8.31[/C][C]8.26321[/C][C]8.25792[/C][C]0.00528935[/C][C]0.046794[/C][/ROW]
[ROW][C]28[/C][C]8.3[/C][C]8.23703[/C][C]8.28833[/C][C]-0.0513079[/C][C]0.0629745[/C][/ROW]
[ROW][C]29[/C][C]8.34[/C][C]8.31883[/C][C]8.33[/C][C]-0.011169[/C][C]0.021169[/C][/ROW]
[ROW][C]30[/C][C]8.31[/C][C]8.36008[/C][C]8.36792[/C][C]-0.00783565[/C][C]-0.050081[/C][/ROW]
[ROW][C]31[/C][C]8.38[/C][C]8.42911[/C][C]8.40042[/C][C]0.0286921[/C][C]-0.0491088[/C][/ROW]
[ROW][C]32[/C][C]8.34[/C][C]8.4505[/C][C]8.4375[/C][C]0.0129977[/C][C]-0.110498[/C][/ROW]
[ROW][C]33[/C][C]8.44[/C][C]8.55369[/C][C]8.47583[/C][C]0.0778588[/C][C]-0.113692[/C][/ROW]
[ROW][C]34[/C][C]8.64[/C][C]8.5948[/C][C]8.51875[/C][C]0.0760532[/C][C]0.0451968[/C][/ROW]
[ROW][C]35[/C][C]8.6[/C][C]8.57862[/C][C]8.57208[/C][C]0.00653935[/C][C]0.0213773[/C][/ROW]
[ROW][C]36[/C][C]8.61[/C][C]8.60654[/C][C]8.63208[/C][C]-0.025544[/C][C]0.00346065[/C][/ROW]
[ROW][C]37[/C][C]8.54[/C][C]8.64723[/C][C]8.6875[/C][C]-0.0402662[/C][C]-0.107234[/C][/ROW]
[ROW][C]38[/C][C]8.69[/C][C]8.66828[/C][C]8.73958[/C][C]-0.0713079[/C][C]0.0217245[/C][/ROW]
[ROW][C]39[/C][C]8.73[/C][C]8.79779[/C][C]8.7925[/C][C]0.00528935[/C][C]-0.0677894[/C][/ROW]
[ROW][C]40[/C][C]8.91[/C][C]8.77869[/C][C]8.83[/C][C]-0.0513079[/C][C]0.131308[/C][/ROW]
[ROW][C]41[/C][C]9.01[/C][C]8.85008[/C][C]8.86125[/C][C]-0.011169[/C][C]0.159919[/C][/ROW]
[ROW][C]42[/C][C]9.08[/C][C]8.88508[/C][C]8.89292[/C][C]-0.00783565[/C][C]0.194919[/C][/ROW]
[ROW][C]43[/C][C]8.94[/C][C]8.95244[/C][C]8.92375[/C][C]0.0286921[/C][C]-0.0124421[/C][/ROW]
[ROW][C]44[/C][C]9.03[/C][C]8.96466[/C][C]8.95167[/C][C]0.0129977[/C][C]0.0653356[/C][/ROW]
[ROW][C]45[/C][C]9.02[/C][C]9.05119[/C][C]8.97333[/C][C]0.0778588[/C][C]-0.0311921[/C][/ROW]
[ROW][C]46[/C][C]8.96[/C][C]9.06105[/C][C]8.985[/C][C]0.0760532[/C][C]-0.101053[/C][/ROW]
[ROW][C]47[/C][C]9.03[/C][C]8.99112[/C][C]8.98458[/C][C]0.00653935[/C][C]0.0388773[/C][/ROW]
[ROW][C]48[/C][C]8.94[/C][C]8.95237[/C][C]8.97792[/C][C]-0.025544[/C][C]-0.0123727[/C][/ROW]
[ROW][C]49[/C][C]8.95[/C][C]8.93557[/C][C]8.97583[/C][C]-0.0402662[/C][C]0.0144329[/C][/ROW]
[ROW][C]50[/C][C]8.95[/C][C]8.90328[/C][C]8.97458[/C][C]-0.0713079[/C][C]0.0467245[/C][/ROW]
[ROW][C]51[/C][C]8.99[/C][C]8.97862[/C][C]8.97333[/C][C]0.00528935[/C][C]0.0113773[/C][/ROW]
[ROW][C]52[/C][C]8.93[/C][C]8.92953[/C][C]8.98083[/C][C]-0.0513079[/C][C]0.000474537[/C][/ROW]
[ROW][C]53[/C][C]8.98[/C][C]8.97133[/C][C]8.9825[/C][C]-0.011169[/C][C]0.00866898[/C][/ROW]
[ROW][C]54[/C][C]8.95[/C][C]8.97008[/C][C]8.97792[/C][C]-0.00783565[/C][C]-0.020081[/C][/ROW]
[ROW][C]55[/C][C]9.02[/C][C]9.00619[/C][C]8.9775[/C][C]0.0286921[/C][C]0.0138079[/C][/ROW]
[ROW][C]56[/C][C]8.92[/C][C]8.9855[/C][C]8.9725[/C][C]0.0129977[/C][C]-0.0654977[/C][/ROW]
[ROW][C]57[/C][C]9.1[/C][C]9.03703[/C][C]8.95917[/C][C]0.0778588[/C][C]0.0629745[/C][/ROW]
[ROW][C]58[/C][C]9.06[/C][C]9.01522[/C][C]8.93917[/C][C]0.0760532[/C][C]0.0447801[/C][/ROW]
[ROW][C]59[/C][C]8.97[/C][C]8.92112[/C][C]8.91458[/C][C]0.00653935[/C][C]0.0488773[/C][/ROW]
[ROW][C]60[/C][C]8.89[/C][C]8.87612[/C][C]8.90167[/C][C]-0.025544[/C][C]0.0138773[/C][/ROW]
[ROW][C]61[/C][C]8.99[/C][C]8.85515[/C][C]8.89542[/C][C]-0.0402662[/C][C]0.13485[/C][/ROW]
[ROW][C]62[/C][C]8.79[/C][C]8.81828[/C][C]8.88958[/C][C]-0.0713079[/C][C]-0.0282755[/C][/ROW]
[ROW][C]63[/C][C]8.83[/C][C]8.88862[/C][C]8.88333[/C][C]0.00528935[/C][C]-0.0586227[/C][/ROW]
[ROW][C]64[/C][C]8.61[/C][C]8.82453[/C][C]8.87583[/C][C]-0.0513079[/C][C]-0.214525[/C][/ROW]
[ROW][C]65[/C][C]8.71[/C][C]8.863[/C][C]8.87417[/C][C]-0.011169[/C][C]-0.152998[/C][/ROW]
[ROW][C]66[/C][C]8.91[/C][C]8.86675[/C][C]8.87458[/C][C]-0.00783565[/C][C]0.0432523[/C][/ROW]
[ROW][C]67[/C][C]8.91[/C][C]8.90036[/C][C]8.87167[/C][C]0.0286921[/C][C]0.0096412[/C][/ROW]
[ROW][C]68[/C][C]8.89[/C][C]8.88925[/C][C]8.87625[/C][C]0.0129977[/C][C]0.000752315[/C][/ROW]
[ROW][C]69[/C][C]8.98[/C][C]8.97703[/C][C]8.89917[/C][C]0.0778588[/C][C]0.00297454[/C][/ROW]
[ROW][C]70[/C][C]9[/C][C]9.01064[/C][C]8.93458[/C][C]0.0760532[/C][C]-0.0106366[/C][/ROW]
[ROW][C]71[/C][C]8.99[/C][C]8.97737[/C][C]8.97083[/C][C]0.00653935[/C][C]0.0126273[/C][/ROW]
[ROW][C]72[/C][C]8.88[/C][C]8.97071[/C][C]8.99625[/C][C]-0.025544[/C][C]-0.090706[/C][/ROW]
[ROW][C]73[/C][C]8.93[/C][C]8.97682[/C][C]9.01708[/C][C]-0.0402662[/C][C]-0.0468171[/C][/ROW]
[ROW][C]74[/C][C]8.96[/C][C]8.98036[/C][C]9.05167[/C][C]-0.0713079[/C][C]-0.0203588[/C][/ROW]
[ROW][C]75[/C][C]9.21[/C][C]9.10696[/C][C]9.10167[/C][C]0.00528935[/C][C]0.103044[/C][/ROW]
[ROW][C]76[/C][C]9.08[/C][C]9.10786[/C][C]9.15917[/C][C]-0.0513079[/C][C]-0.0278588[/C][/ROW]
[ROW][C]77[/C][C]9.11[/C][C]9.20841[/C][C]9.21958[/C][C]-0.011169[/C][C]-0.0984144[/C][/ROW]
[ROW][C]78[/C][C]9.12[/C][C]9.273[/C][C]9.28083[/C][C]-0.00783565[/C][C]-0.152998[/C][/ROW]
[ROW][C]79[/C][C]9.2[/C][C]NA[/C][C]NA[/C][C]0.0286921[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]9.43[/C][C]NA[/C][C]NA[/C][C]0.0129977[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]9.64[/C][C]NA[/C][C]NA[/C][C]0.0778588[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]9.72[/C][C]NA[/C][C]NA[/C][C]0.0760532[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]9.72[/C][C]NA[/C][C]NA[/C][C]0.00653935[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]9.62[/C][C]NA[/C][C]NA[/C][C]-0.025544[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234853&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234853&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	7.72	NA	NA	-0.0402662	NA
2	7.67	NA	NA	-0.0713079	NA
3	7.84	NA	NA	0.00528935	NA
4	7.79	NA	NA	-0.0513079	NA
5	7.83	NA	NA	-0.011169	NA
6	7.94	NA	NA	-0.00783565	NA
7	8.02	7.96536	7.93667	0.0286921	0.0546412
8	8.06	7.97091	7.95792	0.0129977	0.0890856
9	8.12	8.05161	7.97375	0.0778588	0.0683912
10	8.13	8.06564	7.98958	0.0760532	0.0643634
11	7.97	8.01612	8.00958	0.00653935	-0.0461227
12	8.01	7.99779	8.02333	-0.025544	0.0122106
13	8	7.98848	8.02875	-0.0402662	0.0115162
14	7.9	7.96161	8.03292	-0.0713079	-0.0616088
15	7.99	8.04321	8.03792	0.00528935	-0.053206
16	8.02	7.99078	8.04208	-0.0513079	0.0292245
17	8.08	8.03675	8.04792	-0.011169	0.0432523
18	8.02	8.05341	8.06125	-0.00783565	-0.0334144
19	8.07	8.10494	8.07625	0.0286921	-0.0349421
20	8.11	8.10758	8.09458	0.0129977	0.00241898
21	8.19	8.19786	8.12	0.0778588	-0.0078588
22	8.16	8.22105	8.145	0.0760532	-0.0610532
23	8.08	8.17404	8.1675	0.00653935	-0.0940394
24	8.22	8.16487	8.19042	-0.025544	0.0551273
25	8.15	8.17515	8.21542	-0.0402662	-0.0251505
26	8.19	8.16661	8.23792	-0.0713079	0.0233912
27	8.31	8.26321	8.25792	0.00528935	0.046794
28	8.3	8.23703	8.28833	-0.0513079	0.0629745
29	8.34	8.31883	8.33	-0.011169	0.021169
30	8.31	8.36008	8.36792	-0.00783565	-0.050081
31	8.38	8.42911	8.40042	0.0286921	-0.0491088
32	8.34	8.4505	8.4375	0.0129977	-0.110498
33	8.44	8.55369	8.47583	0.0778588	-0.113692
34	8.64	8.5948	8.51875	0.0760532	0.0451968
35	8.6	8.57862	8.57208	0.00653935	0.0213773
36	8.61	8.60654	8.63208	-0.025544	0.00346065
37	8.54	8.64723	8.6875	-0.0402662	-0.107234
38	8.69	8.66828	8.73958	-0.0713079	0.0217245
39	8.73	8.79779	8.7925	0.00528935	-0.0677894
40	8.91	8.77869	8.83	-0.0513079	0.131308
41	9.01	8.85008	8.86125	-0.011169	0.159919
42	9.08	8.88508	8.89292	-0.00783565	0.194919
43	8.94	8.95244	8.92375	0.0286921	-0.0124421
44	9.03	8.96466	8.95167	0.0129977	0.0653356
45	9.02	9.05119	8.97333	0.0778588	-0.0311921
46	8.96	9.06105	8.985	0.0760532	-0.101053
47	9.03	8.99112	8.98458	0.00653935	0.0388773
48	8.94	8.95237	8.97792	-0.025544	-0.0123727
49	8.95	8.93557	8.97583	-0.0402662	0.0144329
50	8.95	8.90328	8.97458	-0.0713079	0.0467245
51	8.99	8.97862	8.97333	0.00528935	0.0113773
52	8.93	8.92953	8.98083	-0.0513079	0.000474537
53	8.98	8.97133	8.9825	-0.011169	0.00866898
54	8.95	8.97008	8.97792	-0.00783565	-0.020081
55	9.02	9.00619	8.9775	0.0286921	0.0138079
56	8.92	8.9855	8.9725	0.0129977	-0.0654977
57	9.1	9.03703	8.95917	0.0778588	0.0629745
58	9.06	9.01522	8.93917	0.0760532	0.0447801
59	8.97	8.92112	8.91458	0.00653935	0.0488773
60	8.89	8.87612	8.90167	-0.025544	0.0138773
61	8.99	8.85515	8.89542	-0.0402662	0.13485
62	8.79	8.81828	8.88958	-0.0713079	-0.0282755
63	8.83	8.88862	8.88333	0.00528935	-0.0586227
64	8.61	8.82453	8.87583	-0.0513079	-0.214525
65	8.71	8.863	8.87417	-0.011169	-0.152998
66	8.91	8.86675	8.87458	-0.00783565	0.0432523
67	8.91	8.90036	8.87167	0.0286921	0.0096412
68	8.89	8.88925	8.87625	0.0129977	0.000752315
69	8.98	8.97703	8.89917	0.0778588	0.00297454
70	9	9.01064	8.93458	0.0760532	-0.0106366
71	8.99	8.97737	8.97083	0.00653935	0.0126273
72	8.88	8.97071	8.99625	-0.025544	-0.090706
73	8.93	8.97682	9.01708	-0.0402662	-0.0468171
74	8.96	8.98036	9.05167	-0.0713079	-0.0203588
75	9.21	9.10696	9.10167	0.00528935	0.103044
76	9.08	9.10786	9.15917	-0.0513079	-0.0278588
77	9.11	9.20841	9.21958	-0.011169	-0.0984144
78	9.12	9.273	9.28083	-0.00783565	-0.152998
79	9.2	NA	NA	0.0286921	NA
80	9.43	NA	NA	0.0129977	NA
81	9.64	NA	NA	0.0778588	NA
82	9.72	NA	NA	0.0760532	NA
83	9.72	NA	NA	0.00653935	NA
84	9.62	NA	NA	-0.025544	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