Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 30 Mar 2015 13:00:07 +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/Mar/30/t1427716867b9blm0sdq1fno5b.htm/, Retrieved Wed, 22 May 2024 02:16:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278451, Retrieved Wed, 22 May 2024 02:16:40 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

155

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

-       [Classical Decomposition] [OPGAVE9Classicald...] [2015-03-30 12:00:07] [6317f4703f6303173469b90f4bb9fb63] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

7,8
8
8,1
8,2
8,1
7,7
6,9
6,6
6,7
7
7,1
7
6,9
6,8
6,8
7
7
6,8
6,7
6,6
6,4
6,4
6,4
6,5
6,6
6,5
6,3
6,2
6,1
6,5
7,1
7,2
6,9
6,2
6
6,2
6,9
7,4
7,8
7,8
7,7
7,7
7,6
7,6
7,7
8
8,2
8,4
8,2
8,1
8,1
8,2
8,3
8,4
8,5
8,3
8,1
7,9
7,7
7,6
7,4
7,3
7
6,8
6,8
6,9
7,3
7,5
7,5
7,2
7
6,9
7
7,1
7,1
7,2
7,3
7,3
7,2
7,5
8
8,7
9
9
8,8
8,5
8,5
8,5
8,5
8,6
8,7
8,8
8,8
8,7
8,7
8,8

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278451&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278451&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278451&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	'George Udny Yule' @ yule.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	7.8	NA	NA	0.0446925	NA
2	8	NA	NA	0.00659722	NA
3	8.1	NA	NA	-0.0332837	NA
4	8.2	NA	NA	-0.0416171	NA
5	8.1	NA	NA	-0.0612599	NA
6	7.7	NA	NA	-0.0100694	NA
7	6.9	7.41553	7.39583	0.0196925	-0.515526
8	6.6	7.3191	7.30833	0.0107639	-0.719097
9	6.7	7.20957	7.20417	0.00540675	-0.509573
10	7	7.11553	7.1	0.0155258	-0.115526
11	7.1	7.01553	7.00417	0.0113591	0.0844742
12	7	6.95303	6.92083	0.0321925	0.0469742
13	6.9	6.91969	6.875	0.0446925	-0.0196925
14	6.8	6.87326	6.86667	0.00659722	-0.0732639
15	6.8	6.82088	6.85417	-0.0332837	-0.0208829
16	7	6.77505	6.81667	-0.0416171	0.22495
17	7	6.70124	6.7625	-0.0612599	0.29876
18	6.8	6.70243	6.7125	-0.0100694	0.0975694
19	6.7	6.69886	6.67917	0.0196925	0.00114087
20	6.6	6.66493	6.65417	0.0107639	-0.0649306
21	6.4	6.62624	6.62083	0.00540675	-0.22624
22	6.4	6.58219	6.56667	0.0155258	-0.182192
23	6.4	6.50719	6.49583	0.0113591	-0.107192
24	6.5	6.47803	6.44583	0.0321925	0.0219742
25	6.6	6.49469	6.45	0.0446925	0.105308
26	6.5	6.49826	6.49167	0.00659722	0.00173611
27	6.3	6.50422	6.5375	-0.0332837	-0.204216
28	6.2	6.50838	6.55	-0.0416171	-0.308383
29	6.1	6.46374	6.525	-0.0612599	-0.36374
30	6.5	6.48576	6.49583	-0.0100694	0.0142361
31	7.1	6.51553	6.49583	0.0196925	0.584474
32	7.2	6.5566	6.54583	0.0107639	0.643403
33	6.9	6.65124	6.64583	0.00540675	0.24876
34	6.2	6.79053	6.775	0.0155258	-0.590526
35	6	6.91969	6.90833	0.0113591	-0.919692
36	6.2	7.05719	7.025	0.0321925	-0.857192
37	6.9	7.14053	7.09583	0.0446925	-0.240526
38	7.4	7.13993	7.13333	0.00659722	0.260069
39	7.8	7.15005	7.18333	-0.0332837	0.64995
40	7.8	7.25005	7.29167	-0.0416171	0.54995
41	7.7	7.39707	7.45833	-0.0612599	0.302927
42	7.7	7.6316	7.64167	-0.0100694	0.0684028
43	7.6	7.80719	7.7875	0.0196925	-0.207192
44	7.6	7.8816	7.87083	0.0107639	-0.281597
45	7.7	7.91791	7.9125	0.00540675	-0.217907
46	8	7.95719	7.94167	0.0155258	0.0428075
47	8.2	7.99469	7.98333	0.0113591	0.205308
48	8.4	8.06969	8.0375	0.0321925	0.330308
49	8.2	8.14886	8.10417	0.0446925	0.0511409
50	8.1	8.17743	8.17083	0.00659722	-0.0774306
51	8.1	8.18338	8.21667	-0.0332837	-0.0833829
52	8.2	8.18755	8.22917	-0.0416171	0.0124504
53	8.3	8.14291	8.20417	-0.0612599	0.157093
54	8.4	8.13993	8.15	-0.0100694	0.260069
55	8.5	8.10303	8.08333	0.0196925	0.396974
56	8.3	8.02743	8.01667	0.0107639	0.272569
57	8.1	7.94291	7.9375	0.00540675	0.157093
58	7.9	7.84886	7.83333	0.0155258	0.0511409
59	7.7	7.72386	7.7125	0.0113591	-0.0238591
60	7.6	7.61969	7.5875	0.0321925	-0.0196925
61	7.4	7.51969	7.475	0.0446925	-0.119692
62	7.3	7.39826	7.39167	0.00659722	-0.0982639
63	7	7.30005	7.33333	-0.0332837	-0.30005
64	6.8	7.23755	7.27917	-0.0416171	-0.43755
65	6.8	7.15957	7.22083	-0.0612599	-0.359573
66	6.9	7.15243	7.1625	-0.0100694	-0.252431
67	7.3	7.13636	7.11667	0.0196925	0.163641
68	7.5	7.10243	7.09167	0.0107639	0.397569
69	7.5	7.09291	7.0875	0.00540675	0.407093
70	7.2	7.12386	7.10833	0.0155258	0.0761409
71	7	7.15719	7.14583	0.0113591	-0.157192
72	6.9	7.21553	7.18333	0.0321925	-0.315526
73	7	7.24053	7.19583	0.0446925	-0.240526
74	7.1	7.19826	7.19167	0.00659722	-0.0982639
75	7.1	7.17922	7.2125	-0.0332837	-0.0792163
76	7.2	7.25422	7.29583	-0.0416171	-0.0542163
77	7.3	7.38041	7.44167	-0.0612599	-0.0804067
78	7.3	7.60243	7.6125	-0.0100694	-0.302431
79	7.2	7.79469	7.775	0.0196925	-0.594692
80	7.5	7.9191	7.90833	0.0107639	-0.419097
81	8	8.03041	8.025	0.00540675	-0.0304067
82	8.7	8.15303	8.1375	0.0155258	0.546974
83	9	8.25303	8.24167	0.0113591	0.746974
84	9	8.37803	8.34583	0.0321925	0.621974
85	8.8	8.50719	8.4625	0.0446925	0.292808
86	8.5	8.58576	8.57917	0.00659722	-0.0857639
87	8.5	8.63338	8.66667	-0.0332837	-0.133383
88	8.5	8.65838	8.7	-0.0416171	-0.158383
89	8.5	8.62624	8.6875	-0.0612599	-0.12624
90	8.6	8.6566	8.66667	-0.0100694	-0.0565972
91	8.7	NA	NA	0.0196925	NA
92	8.8	NA	NA	0.0107639	NA
93	8.8	NA	NA	0.00540675	NA
94	8.7	NA	NA	0.0155258	NA
95	8.7	NA	NA	0.0113591	NA
96	8.8	NA	NA	0.0321925	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 7.8 & NA & NA & 0.0446925 & NA \tabularnewline
2 & 8 & NA & NA & 0.00659722 & NA \tabularnewline
3 & 8.1 & NA & NA & -0.0332837 & NA \tabularnewline
4 & 8.2 & NA & NA & -0.0416171 & NA \tabularnewline
5 & 8.1 & NA & NA & -0.0612599 & NA \tabularnewline
6 & 7.7 & NA & NA & -0.0100694 & NA \tabularnewline
7 & 6.9 & 7.41553 & 7.39583 & 0.0196925 & -0.515526 \tabularnewline
8 & 6.6 & 7.3191 & 7.30833 & 0.0107639 & -0.719097 \tabularnewline
9 & 6.7 & 7.20957 & 7.20417 & 0.00540675 & -0.509573 \tabularnewline
10 & 7 & 7.11553 & 7.1 & 0.0155258 & -0.115526 \tabularnewline
11 & 7.1 & 7.01553 & 7.00417 & 0.0113591 & 0.0844742 \tabularnewline
12 & 7 & 6.95303 & 6.92083 & 0.0321925 & 0.0469742 \tabularnewline
13 & 6.9 & 6.91969 & 6.875 & 0.0446925 & -0.0196925 \tabularnewline
14 & 6.8 & 6.87326 & 6.86667 & 0.00659722 & -0.0732639 \tabularnewline
15 & 6.8 & 6.82088 & 6.85417 & -0.0332837 & -0.0208829 \tabularnewline
16 & 7 & 6.77505 & 6.81667 & -0.0416171 & 0.22495 \tabularnewline
17 & 7 & 6.70124 & 6.7625 & -0.0612599 & 0.29876 \tabularnewline
18 & 6.8 & 6.70243 & 6.7125 & -0.0100694 & 0.0975694 \tabularnewline
19 & 6.7 & 6.69886 & 6.67917 & 0.0196925 & 0.00114087 \tabularnewline
20 & 6.6 & 6.66493 & 6.65417 & 0.0107639 & -0.0649306 \tabularnewline
21 & 6.4 & 6.62624 & 6.62083 & 0.00540675 & -0.22624 \tabularnewline
22 & 6.4 & 6.58219 & 6.56667 & 0.0155258 & -0.182192 \tabularnewline
23 & 6.4 & 6.50719 & 6.49583 & 0.0113591 & -0.107192 \tabularnewline
24 & 6.5 & 6.47803 & 6.44583 & 0.0321925 & 0.0219742 \tabularnewline
25 & 6.6 & 6.49469 & 6.45 & 0.0446925 & 0.105308 \tabularnewline
26 & 6.5 & 6.49826 & 6.49167 & 0.00659722 & 0.00173611 \tabularnewline
27 & 6.3 & 6.50422 & 6.5375 & -0.0332837 & -0.204216 \tabularnewline
28 & 6.2 & 6.50838 & 6.55 & -0.0416171 & -0.308383 \tabularnewline
29 & 6.1 & 6.46374 & 6.525 & -0.0612599 & -0.36374 \tabularnewline
30 & 6.5 & 6.48576 & 6.49583 & -0.0100694 & 0.0142361 \tabularnewline
31 & 7.1 & 6.51553 & 6.49583 & 0.0196925 & 0.584474 \tabularnewline
32 & 7.2 & 6.5566 & 6.54583 & 0.0107639 & 0.643403 \tabularnewline
33 & 6.9 & 6.65124 & 6.64583 & 0.00540675 & 0.24876 \tabularnewline
34 & 6.2 & 6.79053 & 6.775 & 0.0155258 & -0.590526 \tabularnewline
35 & 6 & 6.91969 & 6.90833 & 0.0113591 & -0.919692 \tabularnewline
36 & 6.2 & 7.05719 & 7.025 & 0.0321925 & -0.857192 \tabularnewline
37 & 6.9 & 7.14053 & 7.09583 & 0.0446925 & -0.240526 \tabularnewline
38 & 7.4 & 7.13993 & 7.13333 & 0.00659722 & 0.260069 \tabularnewline
39 & 7.8 & 7.15005 & 7.18333 & -0.0332837 & 0.64995 \tabularnewline
40 & 7.8 & 7.25005 & 7.29167 & -0.0416171 & 0.54995 \tabularnewline
41 & 7.7 & 7.39707 & 7.45833 & -0.0612599 & 0.302927 \tabularnewline
42 & 7.7 & 7.6316 & 7.64167 & -0.0100694 & 0.0684028 \tabularnewline
43 & 7.6 & 7.80719 & 7.7875 & 0.0196925 & -0.207192 \tabularnewline
44 & 7.6 & 7.8816 & 7.87083 & 0.0107639 & -0.281597 \tabularnewline
45 & 7.7 & 7.91791 & 7.9125 & 0.00540675 & -0.217907 \tabularnewline
46 & 8 & 7.95719 & 7.94167 & 0.0155258 & 0.0428075 \tabularnewline
47 & 8.2 & 7.99469 & 7.98333 & 0.0113591 & 0.205308 \tabularnewline
48 & 8.4 & 8.06969 & 8.0375 & 0.0321925 & 0.330308 \tabularnewline
49 & 8.2 & 8.14886 & 8.10417 & 0.0446925 & 0.0511409 \tabularnewline
50 & 8.1 & 8.17743 & 8.17083 & 0.00659722 & -0.0774306 \tabularnewline
51 & 8.1 & 8.18338 & 8.21667 & -0.0332837 & -0.0833829 \tabularnewline
52 & 8.2 & 8.18755 & 8.22917 & -0.0416171 & 0.0124504 \tabularnewline
53 & 8.3 & 8.14291 & 8.20417 & -0.0612599 & 0.157093 \tabularnewline
54 & 8.4 & 8.13993 & 8.15 & -0.0100694 & 0.260069 \tabularnewline
55 & 8.5 & 8.10303 & 8.08333 & 0.0196925 & 0.396974 \tabularnewline
56 & 8.3 & 8.02743 & 8.01667 & 0.0107639 & 0.272569 \tabularnewline
57 & 8.1 & 7.94291 & 7.9375 & 0.00540675 & 0.157093 \tabularnewline
58 & 7.9 & 7.84886 & 7.83333 & 0.0155258 & 0.0511409 \tabularnewline
59 & 7.7 & 7.72386 & 7.7125 & 0.0113591 & -0.0238591 \tabularnewline
60 & 7.6 & 7.61969 & 7.5875 & 0.0321925 & -0.0196925 \tabularnewline
61 & 7.4 & 7.51969 & 7.475 & 0.0446925 & -0.119692 \tabularnewline
62 & 7.3 & 7.39826 & 7.39167 & 0.00659722 & -0.0982639 \tabularnewline
63 & 7 & 7.30005 & 7.33333 & -0.0332837 & -0.30005 \tabularnewline
64 & 6.8 & 7.23755 & 7.27917 & -0.0416171 & -0.43755 \tabularnewline
65 & 6.8 & 7.15957 & 7.22083 & -0.0612599 & -0.359573 \tabularnewline
66 & 6.9 & 7.15243 & 7.1625 & -0.0100694 & -0.252431 \tabularnewline
67 & 7.3 & 7.13636 & 7.11667 & 0.0196925 & 0.163641 \tabularnewline
68 & 7.5 & 7.10243 & 7.09167 & 0.0107639 & 0.397569 \tabularnewline
69 & 7.5 & 7.09291 & 7.0875 & 0.00540675 & 0.407093 \tabularnewline
70 & 7.2 & 7.12386 & 7.10833 & 0.0155258 & 0.0761409 \tabularnewline
71 & 7 & 7.15719 & 7.14583 & 0.0113591 & -0.157192 \tabularnewline
72 & 6.9 & 7.21553 & 7.18333 & 0.0321925 & -0.315526 \tabularnewline
73 & 7 & 7.24053 & 7.19583 & 0.0446925 & -0.240526 \tabularnewline
74 & 7.1 & 7.19826 & 7.19167 & 0.00659722 & -0.0982639 \tabularnewline
75 & 7.1 & 7.17922 & 7.2125 & -0.0332837 & -0.0792163 \tabularnewline
76 & 7.2 & 7.25422 & 7.29583 & -0.0416171 & -0.0542163 \tabularnewline
77 & 7.3 & 7.38041 & 7.44167 & -0.0612599 & -0.0804067 \tabularnewline
78 & 7.3 & 7.60243 & 7.6125 & -0.0100694 & -0.302431 \tabularnewline
79 & 7.2 & 7.79469 & 7.775 & 0.0196925 & -0.594692 \tabularnewline
80 & 7.5 & 7.9191 & 7.90833 & 0.0107639 & -0.419097 \tabularnewline
81 & 8 & 8.03041 & 8.025 & 0.00540675 & -0.0304067 \tabularnewline
82 & 8.7 & 8.15303 & 8.1375 & 0.0155258 & 0.546974 \tabularnewline
83 & 9 & 8.25303 & 8.24167 & 0.0113591 & 0.746974 \tabularnewline
84 & 9 & 8.37803 & 8.34583 & 0.0321925 & 0.621974 \tabularnewline
85 & 8.8 & 8.50719 & 8.4625 & 0.0446925 & 0.292808 \tabularnewline
86 & 8.5 & 8.58576 & 8.57917 & 0.00659722 & -0.0857639 \tabularnewline
87 & 8.5 & 8.63338 & 8.66667 & -0.0332837 & -0.133383 \tabularnewline
88 & 8.5 & 8.65838 & 8.7 & -0.0416171 & -0.158383 \tabularnewline
89 & 8.5 & 8.62624 & 8.6875 & -0.0612599 & -0.12624 \tabularnewline
90 & 8.6 & 8.6566 & 8.66667 & -0.0100694 & -0.0565972 \tabularnewline
91 & 8.7 & NA & NA & 0.0196925 & NA \tabularnewline
92 & 8.8 & NA & NA & 0.0107639 & NA \tabularnewline
93 & 8.8 & NA & NA & 0.00540675 & NA \tabularnewline
94 & 8.7 & NA & NA & 0.0155258 & NA \tabularnewline
95 & 8.7 & NA & NA & 0.0113591 & NA \tabularnewline
96 & 8.8 & NA & NA & 0.0321925 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278451&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]7.8[/C][C]NA[/C][C]NA[/C][C]0.0446925[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]8[/C][C]NA[/C][C]NA[/C][C]0.00659722[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8.1[/C][C]NA[/C][C]NA[/C][C]-0.0332837[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]8.2[/C][C]NA[/C][C]NA[/C][C]-0.0416171[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]8.1[/C][C]NA[/C][C]NA[/C][C]-0.0612599[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7.7[/C][C]NA[/C][C]NA[/C][C]-0.0100694[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6.9[/C][C]7.41553[/C][C]7.39583[/C][C]0.0196925[/C][C]-0.515526[/C][/ROW]
[ROW][C]8[/C][C]6.6[/C][C]7.3191[/C][C]7.30833[/C][C]0.0107639[/C][C]-0.719097[/C][/ROW]
[ROW][C]9[/C][C]6.7[/C][C]7.20957[/C][C]7.20417[/C][C]0.00540675[/C][C]-0.509573[/C][/ROW]
[ROW][C]10[/C][C]7[/C][C]7.11553[/C][C]7.1[/C][C]0.0155258[/C][C]-0.115526[/C][/ROW]
[ROW][C]11[/C][C]7.1[/C][C]7.01553[/C][C]7.00417[/C][C]0.0113591[/C][C]0.0844742[/C][/ROW]
[ROW][C]12[/C][C]7[/C][C]6.95303[/C][C]6.92083[/C][C]0.0321925[/C][C]0.0469742[/C][/ROW]
[ROW][C]13[/C][C]6.9[/C][C]6.91969[/C][C]6.875[/C][C]0.0446925[/C][C]-0.0196925[/C][/ROW]
[ROW][C]14[/C][C]6.8[/C][C]6.87326[/C][C]6.86667[/C][C]0.00659722[/C][C]-0.0732639[/C][/ROW]
[ROW][C]15[/C][C]6.8[/C][C]6.82088[/C][C]6.85417[/C][C]-0.0332837[/C][C]-0.0208829[/C][/ROW]
[ROW][C]16[/C][C]7[/C][C]6.77505[/C][C]6.81667[/C][C]-0.0416171[/C][C]0.22495[/C][/ROW]
[ROW][C]17[/C][C]7[/C][C]6.70124[/C][C]6.7625[/C][C]-0.0612599[/C][C]0.29876[/C][/ROW]
[ROW][C]18[/C][C]6.8[/C][C]6.70243[/C][C]6.7125[/C][C]-0.0100694[/C][C]0.0975694[/C][/ROW]
[ROW][C]19[/C][C]6.7[/C][C]6.69886[/C][C]6.67917[/C][C]0.0196925[/C][C]0.00114087[/C][/ROW]
[ROW][C]20[/C][C]6.6[/C][C]6.66493[/C][C]6.65417[/C][C]0.0107639[/C][C]-0.0649306[/C][/ROW]
[ROW][C]21[/C][C]6.4[/C][C]6.62624[/C][C]6.62083[/C][C]0.00540675[/C][C]-0.22624[/C][/ROW]
[ROW][C]22[/C][C]6.4[/C][C]6.58219[/C][C]6.56667[/C][C]0.0155258[/C][C]-0.182192[/C][/ROW]
[ROW][C]23[/C][C]6.4[/C][C]6.50719[/C][C]6.49583[/C][C]0.0113591[/C][C]-0.107192[/C][/ROW]
[ROW][C]24[/C][C]6.5[/C][C]6.47803[/C][C]6.44583[/C][C]0.0321925[/C][C]0.0219742[/C][/ROW]
[ROW][C]25[/C][C]6.6[/C][C]6.49469[/C][C]6.45[/C][C]0.0446925[/C][C]0.105308[/C][/ROW]
[ROW][C]26[/C][C]6.5[/C][C]6.49826[/C][C]6.49167[/C][C]0.00659722[/C][C]0.00173611[/C][/ROW]
[ROW][C]27[/C][C]6.3[/C][C]6.50422[/C][C]6.5375[/C][C]-0.0332837[/C][C]-0.204216[/C][/ROW]
[ROW][C]28[/C][C]6.2[/C][C]6.50838[/C][C]6.55[/C][C]-0.0416171[/C][C]-0.308383[/C][/ROW]
[ROW][C]29[/C][C]6.1[/C][C]6.46374[/C][C]6.525[/C][C]-0.0612599[/C][C]-0.36374[/C][/ROW]
[ROW][C]30[/C][C]6.5[/C][C]6.48576[/C][C]6.49583[/C][C]-0.0100694[/C][C]0.0142361[/C][/ROW]
[ROW][C]31[/C][C]7.1[/C][C]6.51553[/C][C]6.49583[/C][C]0.0196925[/C][C]0.584474[/C][/ROW]
[ROW][C]32[/C][C]7.2[/C][C]6.5566[/C][C]6.54583[/C][C]0.0107639[/C][C]0.643403[/C][/ROW]
[ROW][C]33[/C][C]6.9[/C][C]6.65124[/C][C]6.64583[/C][C]0.00540675[/C][C]0.24876[/C][/ROW]
[ROW][C]34[/C][C]6.2[/C][C]6.79053[/C][C]6.775[/C][C]0.0155258[/C][C]-0.590526[/C][/ROW]
[ROW][C]35[/C][C]6[/C][C]6.91969[/C][C]6.90833[/C][C]0.0113591[/C][C]-0.919692[/C][/ROW]
[ROW][C]36[/C][C]6.2[/C][C]7.05719[/C][C]7.025[/C][C]0.0321925[/C][C]-0.857192[/C][/ROW]
[ROW][C]37[/C][C]6.9[/C][C]7.14053[/C][C]7.09583[/C][C]0.0446925[/C][C]-0.240526[/C][/ROW]
[ROW][C]38[/C][C]7.4[/C][C]7.13993[/C][C]7.13333[/C][C]0.00659722[/C][C]0.260069[/C][/ROW]
[ROW][C]39[/C][C]7.8[/C][C]7.15005[/C][C]7.18333[/C][C]-0.0332837[/C][C]0.64995[/C][/ROW]
[ROW][C]40[/C][C]7.8[/C][C]7.25005[/C][C]7.29167[/C][C]-0.0416171[/C][C]0.54995[/C][/ROW]
[ROW][C]41[/C][C]7.7[/C][C]7.39707[/C][C]7.45833[/C][C]-0.0612599[/C][C]0.302927[/C][/ROW]
[ROW][C]42[/C][C]7.7[/C][C]7.6316[/C][C]7.64167[/C][C]-0.0100694[/C][C]0.0684028[/C][/ROW]
[ROW][C]43[/C][C]7.6[/C][C]7.80719[/C][C]7.7875[/C][C]0.0196925[/C][C]-0.207192[/C][/ROW]
[ROW][C]44[/C][C]7.6[/C][C]7.8816[/C][C]7.87083[/C][C]0.0107639[/C][C]-0.281597[/C][/ROW]
[ROW][C]45[/C][C]7.7[/C][C]7.91791[/C][C]7.9125[/C][C]0.00540675[/C][C]-0.217907[/C][/ROW]
[ROW][C]46[/C][C]8[/C][C]7.95719[/C][C]7.94167[/C][C]0.0155258[/C][C]0.0428075[/C][/ROW]
[ROW][C]47[/C][C]8.2[/C][C]7.99469[/C][C]7.98333[/C][C]0.0113591[/C][C]0.205308[/C][/ROW]
[ROW][C]48[/C][C]8.4[/C][C]8.06969[/C][C]8.0375[/C][C]0.0321925[/C][C]0.330308[/C][/ROW]
[ROW][C]49[/C][C]8.2[/C][C]8.14886[/C][C]8.10417[/C][C]0.0446925[/C][C]0.0511409[/C][/ROW]
[ROW][C]50[/C][C]8.1[/C][C]8.17743[/C][C]8.17083[/C][C]0.00659722[/C][C]-0.0774306[/C][/ROW]
[ROW][C]51[/C][C]8.1[/C][C]8.18338[/C][C]8.21667[/C][C]-0.0332837[/C][C]-0.0833829[/C][/ROW]
[ROW][C]52[/C][C]8.2[/C][C]8.18755[/C][C]8.22917[/C][C]-0.0416171[/C][C]0.0124504[/C][/ROW]
[ROW][C]53[/C][C]8.3[/C][C]8.14291[/C][C]8.20417[/C][C]-0.0612599[/C][C]0.157093[/C][/ROW]
[ROW][C]54[/C][C]8.4[/C][C]8.13993[/C][C]8.15[/C][C]-0.0100694[/C][C]0.260069[/C][/ROW]
[ROW][C]55[/C][C]8.5[/C][C]8.10303[/C][C]8.08333[/C][C]0.0196925[/C][C]0.396974[/C][/ROW]
[ROW][C]56[/C][C]8.3[/C][C]8.02743[/C][C]8.01667[/C][C]0.0107639[/C][C]0.272569[/C][/ROW]
[ROW][C]57[/C][C]8.1[/C][C]7.94291[/C][C]7.9375[/C][C]0.00540675[/C][C]0.157093[/C][/ROW]
[ROW][C]58[/C][C]7.9[/C][C]7.84886[/C][C]7.83333[/C][C]0.0155258[/C][C]0.0511409[/C][/ROW]
[ROW][C]59[/C][C]7.7[/C][C]7.72386[/C][C]7.7125[/C][C]0.0113591[/C][C]-0.0238591[/C][/ROW]
[ROW][C]60[/C][C]7.6[/C][C]7.61969[/C][C]7.5875[/C][C]0.0321925[/C][C]-0.0196925[/C][/ROW]
[ROW][C]61[/C][C]7.4[/C][C]7.51969[/C][C]7.475[/C][C]0.0446925[/C][C]-0.119692[/C][/ROW]
[ROW][C]62[/C][C]7.3[/C][C]7.39826[/C][C]7.39167[/C][C]0.00659722[/C][C]-0.0982639[/C][/ROW]
[ROW][C]63[/C][C]7[/C][C]7.30005[/C][C]7.33333[/C][C]-0.0332837[/C][C]-0.30005[/C][/ROW]
[ROW][C]64[/C][C]6.8[/C][C]7.23755[/C][C]7.27917[/C][C]-0.0416171[/C][C]-0.43755[/C][/ROW]
[ROW][C]65[/C][C]6.8[/C][C]7.15957[/C][C]7.22083[/C][C]-0.0612599[/C][C]-0.359573[/C][/ROW]
[ROW][C]66[/C][C]6.9[/C][C]7.15243[/C][C]7.1625[/C][C]-0.0100694[/C][C]-0.252431[/C][/ROW]
[ROW][C]67[/C][C]7.3[/C][C]7.13636[/C][C]7.11667[/C][C]0.0196925[/C][C]0.163641[/C][/ROW]
[ROW][C]68[/C][C]7.5[/C][C]7.10243[/C][C]7.09167[/C][C]0.0107639[/C][C]0.397569[/C][/ROW]
[ROW][C]69[/C][C]7.5[/C][C]7.09291[/C][C]7.0875[/C][C]0.00540675[/C][C]0.407093[/C][/ROW]
[ROW][C]70[/C][C]7.2[/C][C]7.12386[/C][C]7.10833[/C][C]0.0155258[/C][C]0.0761409[/C][/ROW]
[ROW][C]71[/C][C]7[/C][C]7.15719[/C][C]7.14583[/C][C]0.0113591[/C][C]-0.157192[/C][/ROW]
[ROW][C]72[/C][C]6.9[/C][C]7.21553[/C][C]7.18333[/C][C]0.0321925[/C][C]-0.315526[/C][/ROW]
[ROW][C]73[/C][C]7[/C][C]7.24053[/C][C]7.19583[/C][C]0.0446925[/C][C]-0.240526[/C][/ROW]
[ROW][C]74[/C][C]7.1[/C][C]7.19826[/C][C]7.19167[/C][C]0.00659722[/C][C]-0.0982639[/C][/ROW]
[ROW][C]75[/C][C]7.1[/C][C]7.17922[/C][C]7.2125[/C][C]-0.0332837[/C][C]-0.0792163[/C][/ROW]
[ROW][C]76[/C][C]7.2[/C][C]7.25422[/C][C]7.29583[/C][C]-0.0416171[/C][C]-0.0542163[/C][/ROW]
[ROW][C]77[/C][C]7.3[/C][C]7.38041[/C][C]7.44167[/C][C]-0.0612599[/C][C]-0.0804067[/C][/ROW]
[ROW][C]78[/C][C]7.3[/C][C]7.60243[/C][C]7.6125[/C][C]-0.0100694[/C][C]-0.302431[/C][/ROW]
[ROW][C]79[/C][C]7.2[/C][C]7.79469[/C][C]7.775[/C][C]0.0196925[/C][C]-0.594692[/C][/ROW]
[ROW][C]80[/C][C]7.5[/C][C]7.9191[/C][C]7.90833[/C][C]0.0107639[/C][C]-0.419097[/C][/ROW]
[ROW][C]81[/C][C]8[/C][C]8.03041[/C][C]8.025[/C][C]0.00540675[/C][C]-0.0304067[/C][/ROW]
[ROW][C]82[/C][C]8.7[/C][C]8.15303[/C][C]8.1375[/C][C]0.0155258[/C][C]0.546974[/C][/ROW]
[ROW][C]83[/C][C]9[/C][C]8.25303[/C][C]8.24167[/C][C]0.0113591[/C][C]0.746974[/C][/ROW]
[ROW][C]84[/C][C]9[/C][C]8.37803[/C][C]8.34583[/C][C]0.0321925[/C][C]0.621974[/C][/ROW]
[ROW][C]85[/C][C]8.8[/C][C]8.50719[/C][C]8.4625[/C][C]0.0446925[/C][C]0.292808[/C][/ROW]
[ROW][C]86[/C][C]8.5[/C][C]8.58576[/C][C]8.57917[/C][C]0.00659722[/C][C]-0.0857639[/C][/ROW]
[ROW][C]87[/C][C]8.5[/C][C]8.63338[/C][C]8.66667[/C][C]-0.0332837[/C][C]-0.133383[/C][/ROW]
[ROW][C]88[/C][C]8.5[/C][C]8.65838[/C][C]8.7[/C][C]-0.0416171[/C][C]-0.158383[/C][/ROW]
[ROW][C]89[/C][C]8.5[/C][C]8.62624[/C][C]8.6875[/C][C]-0.0612599[/C][C]-0.12624[/C][/ROW]
[ROW][C]90[/C][C]8.6[/C][C]8.6566[/C][C]8.66667[/C][C]-0.0100694[/C][C]-0.0565972[/C][/ROW]
[ROW][C]91[/C][C]8.7[/C][C]NA[/C][C]NA[/C][C]0.0196925[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]8.8[/C][C]NA[/C][C]NA[/C][C]0.0107639[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]8.8[/C][C]NA[/C][C]NA[/C][C]0.00540675[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]8.7[/C][C]NA[/C][C]NA[/C][C]0.0155258[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]8.7[/C][C]NA[/C][C]NA[/C][C]0.0113591[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]8.8[/C][C]NA[/C][C]NA[/C][C]0.0321925[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278451&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278451&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	7.8	NA	NA	0.0446925	NA
2	8	NA	NA	0.00659722	NA
3	8.1	NA	NA	-0.0332837	NA
4	8.2	NA	NA	-0.0416171	NA
5	8.1	NA	NA	-0.0612599	NA
6	7.7	NA	NA	-0.0100694	NA
7	6.9	7.41553	7.39583	0.0196925	-0.515526
8	6.6	7.3191	7.30833	0.0107639	-0.719097
9	6.7	7.20957	7.20417	0.00540675	-0.509573
10	7	7.11553	7.1	0.0155258	-0.115526
11	7.1	7.01553	7.00417	0.0113591	0.0844742
12	7	6.95303	6.92083	0.0321925	0.0469742
13	6.9	6.91969	6.875	0.0446925	-0.0196925
14	6.8	6.87326	6.86667	0.00659722	-0.0732639
15	6.8	6.82088	6.85417	-0.0332837	-0.0208829
16	7	6.77505	6.81667	-0.0416171	0.22495
17	7	6.70124	6.7625	-0.0612599	0.29876
18	6.8	6.70243	6.7125	-0.0100694	0.0975694
19	6.7	6.69886	6.67917	0.0196925	0.00114087
20	6.6	6.66493	6.65417	0.0107639	-0.0649306
21	6.4	6.62624	6.62083	0.00540675	-0.22624
22	6.4	6.58219	6.56667	0.0155258	-0.182192
23	6.4	6.50719	6.49583	0.0113591	-0.107192
24	6.5	6.47803	6.44583	0.0321925	0.0219742
25	6.6	6.49469	6.45	0.0446925	0.105308
26	6.5	6.49826	6.49167	0.00659722	0.00173611
27	6.3	6.50422	6.5375	-0.0332837	-0.204216
28	6.2	6.50838	6.55	-0.0416171	-0.308383
29	6.1	6.46374	6.525	-0.0612599	-0.36374
30	6.5	6.48576	6.49583	-0.0100694	0.0142361
31	7.1	6.51553	6.49583	0.0196925	0.584474
32	7.2	6.5566	6.54583	0.0107639	0.643403
33	6.9	6.65124	6.64583	0.00540675	0.24876
34	6.2	6.79053	6.775	0.0155258	-0.590526
35	6	6.91969	6.90833	0.0113591	-0.919692
36	6.2	7.05719	7.025	0.0321925	-0.857192
37	6.9	7.14053	7.09583	0.0446925	-0.240526
38	7.4	7.13993	7.13333	0.00659722	0.260069
39	7.8	7.15005	7.18333	-0.0332837	0.64995
40	7.8	7.25005	7.29167	-0.0416171	0.54995
41	7.7	7.39707	7.45833	-0.0612599	0.302927
42	7.7	7.6316	7.64167	-0.0100694	0.0684028
43	7.6	7.80719	7.7875	0.0196925	-0.207192
44	7.6	7.8816	7.87083	0.0107639	-0.281597
45	7.7	7.91791	7.9125	0.00540675	-0.217907
46	8	7.95719	7.94167	0.0155258	0.0428075
47	8.2	7.99469	7.98333	0.0113591	0.205308
48	8.4	8.06969	8.0375	0.0321925	0.330308
49	8.2	8.14886	8.10417	0.0446925	0.0511409
50	8.1	8.17743	8.17083	0.00659722	-0.0774306
51	8.1	8.18338	8.21667	-0.0332837	-0.0833829
52	8.2	8.18755	8.22917	-0.0416171	0.0124504
53	8.3	8.14291	8.20417	-0.0612599	0.157093
54	8.4	8.13993	8.15	-0.0100694	0.260069
55	8.5	8.10303	8.08333	0.0196925	0.396974
56	8.3	8.02743	8.01667	0.0107639	0.272569
57	8.1	7.94291	7.9375	0.00540675	0.157093
58	7.9	7.84886	7.83333	0.0155258	0.0511409
59	7.7	7.72386	7.7125	0.0113591	-0.0238591
60	7.6	7.61969	7.5875	0.0321925	-0.0196925
61	7.4	7.51969	7.475	0.0446925	-0.119692
62	7.3	7.39826	7.39167	0.00659722	-0.0982639
63	7	7.30005	7.33333	-0.0332837	-0.30005
64	6.8	7.23755	7.27917	-0.0416171	-0.43755
65	6.8	7.15957	7.22083	-0.0612599	-0.359573
66	6.9	7.15243	7.1625	-0.0100694	-0.252431
67	7.3	7.13636	7.11667	0.0196925	0.163641
68	7.5	7.10243	7.09167	0.0107639	0.397569
69	7.5	7.09291	7.0875	0.00540675	0.407093
70	7.2	7.12386	7.10833	0.0155258	0.0761409
71	7	7.15719	7.14583	0.0113591	-0.157192
72	6.9	7.21553	7.18333	0.0321925	-0.315526
73	7	7.24053	7.19583	0.0446925	-0.240526
74	7.1	7.19826	7.19167	0.00659722	-0.0982639
75	7.1	7.17922	7.2125	-0.0332837	-0.0792163
76	7.2	7.25422	7.29583	-0.0416171	-0.0542163
77	7.3	7.38041	7.44167	-0.0612599	-0.0804067
78	7.3	7.60243	7.6125	-0.0100694	-0.302431
79	7.2	7.79469	7.775	0.0196925	-0.594692
80	7.5	7.9191	7.90833	0.0107639	-0.419097
81	8	8.03041	8.025	0.00540675	-0.0304067
82	8.7	8.15303	8.1375	0.0155258	0.546974
83	9	8.25303	8.24167	0.0113591	0.746974
84	9	8.37803	8.34583	0.0321925	0.621974
85	8.8	8.50719	8.4625	0.0446925	0.292808
86	8.5	8.58576	8.57917	0.00659722	-0.0857639
87	8.5	8.63338	8.66667	-0.0332837	-0.133383
88	8.5	8.65838	8.7	-0.0416171	-0.158383
89	8.5	8.62624	8.6875	-0.0612599	-0.12624
90	8.6	8.6566	8.66667	-0.0100694	-0.0565972
91	8.7	NA	NA	0.0196925	NA
92	8.8	NA	NA	0.0107639	NA
93	8.8	NA	NA	0.00540675	NA
94	8.7	NA	NA	0.0155258	NA
95	8.7	NA	NA	0.0113591	NA
96	8.8	NA	NA	0.0321925	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