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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 13 Dec 2014 13:59:06 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/13/t14184793727ze49o67qszlcf9.htm/, Retrieved Thu, 16 May 2024 04:51:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267102, Retrieved Thu, 16 May 2024 04:51:34 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-     [Classical Decomposition] [Time series man CD] [2014-12-13 13:57:12] [bb1b6762b7e5624d262776d3f7139d34]
- R       [Classical Decomposition] [KUL paper Time se...] [2014-12-13 13:59:06] [8568a324fefbb8dbb43f697bfa8d1be6] [Current]
-    D      [Classical Decomposition] [testsss] [2014-12-15 13:04:30] [6c2f6c6ea910808786c6eeaf4a8f7882] 
-    D      [Classical Decomposition] [classical decompo...] [2014-12-15 13:06:54] [6c2f6c6ea910808786c6eeaf4a8f7882] 

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Dataseries X:

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Histogram

Boxplots

NA
6
NA
1
1
5.5
NA
6.5
4.5
2
5
0.5
5
NA
NA
NA
5.5
NA
3
NA
0.5
6.5
NA
7.5
5.5
4
7.5
NA
4
NA
NA
NA
3.5
2.5
4.5
4.5
NA
6
2.5
NA
0
5
6.5
5
6
NA
5.5
1
NA
6
5
1
5
6.5
7
4.5
NA
8.5
NA
7.5
3.5
NA
NA
9
NA
3.5
NA
6.5
7.5
NA
NA
NA
NA
7.5
NA
NA
6.5
NA
NA
1.5
NA
NA
NA
0
NA
5.5
5
NA
NA
NA
7
0
4.5
NA
1.5
NA
2.5
5.5
8
1
5
NA
3
3
8
NA
NA
NA
NA
NA
NA
5.5
0.5
7.5
9
9.5
NA
7
8
NA
7
NA
NA
9.5
4
6
8
5.5
9.5
7.5
7
NA
8
7
7
6
10
2.5
NA
8
6
8.5
6
9
NA
NA
5.5
NA
NA
9
NA
8.5
9
NA
9
7.5
10
NA
NA
NA
NA
8.5
NA
10
NA
6.5
NA
8.5
NA
NA
8
NA
7
7.5
7.5
9.5
6
NA
7
NA
NA
NA
10
NA
3.5
NA
NA
NA
NA
6.5
6.5
8.5
4
NA
NA
8.5
NA
NA
NA
NA
10
8
NA
NA
5
NA
4.5
8.5
NA
8.5
7.5
7.5
NA
NA
NA
5.5
8.5
9.5
7
NA
NA
NA
6.5
6.5
NA
NA
NA
10
10
NA
NA
NA
7.5
4.5
4.5
0.5
NA
4.5
5.5
5
NA
NA
8
NA
6.5
8
NA
5.5
NA
5
3.5
NA
9
NA
5
NA
3
NA
NA
0.5
6.5
NA
4.5
8
NA
7.5
NA
NA
9.5
6.5
NA
6
NA
NA
8
NA
NA

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	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267102&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267102&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	6	NA	NA	0.0402514	NA
2	1	2.20975	2.25	-0.0402514	-1.20975
3	1	2.16525	2.125	0.0402514	-1.16525
4	5.5	4.58475	4.625	-0.0402514	0.915251
5	6.5	5.79025	5.75	0.0402514	0.709749
6	4.5	4.33475	4.375	-0.0402514	0.165251
7	2	3.41525	3.375	0.0402514	-1.41525
8	5	3.08475	3.125	-0.0402514	1.91525
9	0.5	2.79025	2.75	0.0402514	-2.29025
10	5	3.95975	4	-0.0402514	1.04025
11	5.5	4.79025	4.75	0.0402514	0.709749
12	3	2.95975	3	-0.0402514	0.0402514
13	0.5	2.66525	2.625	0.0402514	-2.16525
14	6.5	5.20975	5.25	-0.0402514	1.29025
15	7.5	6.79025	6.75	0.0402514	0.709749
16	5.5	5.58475	5.625	-0.0402514	-0.0847486
17	4	5.29025	5.25	0.0402514	-1.29025
18	7.5	5.70975	5.75	-0.0402514	1.79025
19	4	4.79025	4.75	0.0402514	-0.790251
20	3.5	3.33475	3.375	-0.0402514	0.165251
21	2.5	3.29025	3.25	0.0402514	-0.790251
22	4.5	3.95975	4	-0.0402514	0.540251
23	4.5	4.91525	4.875	0.0402514	-0.415251
24	6	4.70975	4.75	-0.0402514	1.29025
25	2.5	2.79025	2.75	0.0402514	-0.290251
26	0	1.83475	1.875	-0.0402514	-1.83475
27	5	4.16525	4.125	0.0402514	0.834749
28	6.5	5.70975	5.75	-0.0402514	0.790251
29	5	5.66525	5.625	0.0402514	-0.665251
30	6	5.58475	5.625	-0.0402514	0.415251
31	5.5	4.54025	4.5	0.0402514	0.959749
32	1	3.33475	3.375	-0.0402514	-2.33475
33	6	4.54025	4.5	0.0402514	1.45975
34	5	4.20975	4.25	-0.0402514	0.790251
35	1	3.04025	3	0.0402514	-2.04025
36	5	4.33475	4.375	-0.0402514	0.665251
37	6.5	6.29025	6.25	0.0402514	0.209749
38	7	6.20975	6.25	-0.0402514	0.790251
39	4.5	6.16525	6.125	0.0402514	-1.66525
40	8.5	7.20975	7.25	-0.0402514	1.29025
41	7.5	6.79025	6.75	0.0402514	0.709749
42	3.5	5.83475	5.875	-0.0402514	-2.33475
43	9	6.29025	6.25	0.0402514	2.70975
44	3.5	5.58475	5.625	-0.0402514	-2.08475
45	6.5	6.04025	6	0.0402514	0.459749
46	7.5	7.20975	7.25	-0.0402514	0.290251
47	7.5	7.29025	7.25	0.0402514	0.209749
48	6.5	5.45975	5.5	-0.0402514	1.04025
49	1.5	2.41525	2.375	0.0402514	-0.915251
50	0	1.70975	1.75	-0.0402514	-1.70975
51	5.5	4.04025	4	0.0402514	1.45975
52	5	5.58475	5.625	-0.0402514	-0.584749
53	7	4.79025	4.75	0.0402514	2.20975
54	0	2.83475	2.875	-0.0402514	-2.83475
55	4.5	2.66525	2.625	0.0402514	1.83475
56	1.5	2.45975	2.5	-0.0402514	-0.959749
57	2.5	3.04025	3	0.0402514	-0.540251
58	5.5	5.33475	5.375	-0.0402514	0.165251
59	8	5.66525	5.625	0.0402514	2.33475
60	1	3.70975	3.75	-0.0402514	-2.70975
61	5	3.54025	3.5	0.0402514	1.45975
62	3	3.45975	3.5	-0.0402514	-0.459749
63	3	4.29025	4.25	0.0402514	-1.29025
64	8	6.08475	6.125	-0.0402514	1.91525
65	5.5	4.91525	4.875	0.0402514	0.584749
66	0.5	3.45975	3.5	-0.0402514	-2.95975
67	7.5	6.16525	6.125	0.0402514	1.33475
68	9	8.70975	8.75	-0.0402514	0.290251
69	9.5	8.79025	8.75	0.0402514	0.709749
70	7	7.83475	7.875	-0.0402514	-0.834749
71	8	7.54025	7.5	0.0402514	0.459749
72	7	7.83475	7.875	-0.0402514	-0.834749
73	9.5	7.54025	7.5	0.0402514	1.95975
74	4	5.83475	5.875	-0.0402514	-1.83475
75	6	6.04025	6	0.0402514	-0.0402514
76	8	6.83475	6.875	-0.0402514	1.16525
77	5.5	7.16525	7.125	0.0402514	-1.66525
78	9.5	7.95975	8	-0.0402514	1.54025
79	7.5	7.91525	7.875	0.0402514	-0.415251
80	7	7.33475	7.375	-0.0402514	-0.334749
81	8	7.54025	7.5	0.0402514	0.459749
82	7	7.20975	7.25	-0.0402514	-0.209749
83	7	6.79025	6.75	0.0402514	0.209749
84	6	7.20975	7.25	-0.0402514	-1.20975
85	10	7.16525	7.125	0.0402514	2.83475
86	2.5	5.70975	5.75	-0.0402514	-3.20975
87	8	6.16525	6.125	0.0402514	1.83475
88	6	7.08475	7.125	-0.0402514	-1.08475
89	8.5	7.29025	7.25	0.0402514	1.20975
90	6	7.33475	7.375	-0.0402514	-1.33475
91	9	7.41525	7.375	0.0402514	1.58475
92	5.5	7.20975	7.25	-0.0402514	-1.70975
93	9	8.04025	8	0.0402514	0.959749
94	8.5	8.70975	8.75	-0.0402514	-0.209749
95	9	8.91525	8.875	0.0402514	0.0847486
96	9	8.58475	8.625	-0.0402514	0.415251
97	7.5	8.54025	8.5	0.0402514	-1.04025
98	10	8.95975	9	-0.0402514	1.04025
99	8.5	9.29025	9.25	0.0402514	-0.790251
100	10	8.70975	8.75	-0.0402514	1.29025
101	6.5	7.91525	7.875	0.0402514	-1.41525
102	8.5	7.83475	7.875	-0.0402514	0.665251
103	8	7.91525	7.875	0.0402514	0.0847486
104	7	7.33475	7.375	-0.0402514	-0.334749
105	7.5	7.41525	7.375	0.0402514	0.0847486
106	7.5	7.95975	8	-0.0402514	-0.459749
107	9.5	8.16525	8.125	0.0402514	1.33475
108	6	7.08475	7.125	-0.0402514	-1.08475
109	7	7.54025	7.5	0.0402514	-0.540251
110	10	7.58475	7.625	-0.0402514	2.41525
111	3.5	5.91525	5.875	0.0402514	-2.41525
112	6.5	5.70975	5.75	-0.0402514	0.790251
113	6.5	7.04025	7	0.0402514	-0.540251
114	8.5	6.83475	6.875	-0.0402514	1.66525
115	4	6.29025	6.25	0.0402514	-2.29025
116	8.5	7.70975	7.75	-0.0402514	0.790251
117	10	9.16525	9.125	0.0402514	0.834749
118	8	7.70975	7.75	-0.0402514	0.290251
119	5	5.66525	5.625	0.0402514	-0.665251
120	4.5	5.58475	5.625	-0.0402514	-1.08475
121	8.5	7.54025	7.5	0.0402514	0.959749
122	8.5	8.20975	8.25	-0.0402514	0.290251
123	7.5	7.79025	7.75	0.0402514	-0.290251
124	7.5	6.95975	7	-0.0402514	0.540251
125	5.5	6.79025	6.75	0.0402514	-1.29025
126	8.5	7.95975	8	-0.0402514	0.540251
127	9.5	8.66525	8.625	0.0402514	0.834749
128	7	7.45975	7.5	-0.0402514	-0.459749
129	6.5	6.66525	6.625	0.0402514	-0.165251
130	6.5	7.33475	7.375	-0.0402514	-0.834749
131	10	9.16525	9.125	0.0402514	0.834749
132	10	9.33475	9.375	-0.0402514	0.665251
133	7.5	7.41525	7.375	0.0402514	0.0847486
134	4.5	5.20975	5.25	-0.0402514	-0.709749
135	4.5	3.54025	3.5	0.0402514	0.959749
136	0.5	2.45975	2.5	-0.0402514	-1.95975
137	4.5	3.79025	3.75	0.0402514	0.709749
138	5.5	5.08475	5.125	-0.0402514	0.415251
139	5	5.91525	5.875	0.0402514	-0.915251
140	8	6.83475	6.875	-0.0402514	1.16525
141	6.5	7.29025	7.25	0.0402514	-0.790251
142	8	6.95975	7	-0.0402514	1.04025
143	5.5	6.04025	6	0.0402514	-0.540251
144	5	4.70975	4.75	-0.0402514	0.290251
145	3.5	5.29025	5.25	0.0402514	-1.79025
146	9	6.58475	6.625	-0.0402514	2.41525
147	5	5.54025	5.5	0.0402514	-0.540251
148	3	2.83475	2.875	-0.0402514	0.165251
149	0.5	2.66525	2.625	0.0402514	-2.16525
150	6.5	4.45975	4.5	-0.0402514	2.04025
151	4.5	5.91525	5.875	0.0402514	-1.41525
152	8	6.95975	7	-0.0402514	1.04025
153	7.5	8.16525	8.125	0.0402514	-0.665251
154	9.5	8.20975	8.25	-0.0402514	1.29025
155	6.5	7.16525	7.125	0.0402514	-0.665251
156	6	6.58475	6.625	-0.0402514	-0.584749
157	8	NA	NA	0.0402514	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 6 & NA & NA & 0.0402514 & NA \tabularnewline
2 & 1 & 2.20975 & 2.25 & -0.0402514 & -1.20975 \tabularnewline
3 & 1 & 2.16525 & 2.125 & 0.0402514 & -1.16525 \tabularnewline
4 & 5.5 & 4.58475 & 4.625 & -0.0402514 & 0.915251 \tabularnewline
5 & 6.5 & 5.79025 & 5.75 & 0.0402514 & 0.709749 \tabularnewline
6 & 4.5 & 4.33475 & 4.375 & -0.0402514 & 0.165251 \tabularnewline
7 & 2 & 3.41525 & 3.375 & 0.0402514 & -1.41525 \tabularnewline
8 & 5 & 3.08475 & 3.125 & -0.0402514 & 1.91525 \tabularnewline
9 & 0.5 & 2.79025 & 2.75 & 0.0402514 & -2.29025 \tabularnewline
10 & 5 & 3.95975 & 4 & -0.0402514 & 1.04025 \tabularnewline
11 & 5.5 & 4.79025 & 4.75 & 0.0402514 & 0.709749 \tabularnewline
12 & 3 & 2.95975 & 3 & -0.0402514 & 0.0402514 \tabularnewline
13 & 0.5 & 2.66525 & 2.625 & 0.0402514 & -2.16525 \tabularnewline
14 & 6.5 & 5.20975 & 5.25 & -0.0402514 & 1.29025 \tabularnewline
15 & 7.5 & 6.79025 & 6.75 & 0.0402514 & 0.709749 \tabularnewline
16 & 5.5 & 5.58475 & 5.625 & -0.0402514 & -0.0847486 \tabularnewline
17 & 4 & 5.29025 & 5.25 & 0.0402514 & -1.29025 \tabularnewline
18 & 7.5 & 5.70975 & 5.75 & -0.0402514 & 1.79025 \tabularnewline
19 & 4 & 4.79025 & 4.75 & 0.0402514 & -0.790251 \tabularnewline
20 & 3.5 & 3.33475 & 3.375 & -0.0402514 & 0.165251 \tabularnewline
21 & 2.5 & 3.29025 & 3.25 & 0.0402514 & -0.790251 \tabularnewline
22 & 4.5 & 3.95975 & 4 & -0.0402514 & 0.540251 \tabularnewline
23 & 4.5 & 4.91525 & 4.875 & 0.0402514 & -0.415251 \tabularnewline
24 & 6 & 4.70975 & 4.75 & -0.0402514 & 1.29025 \tabularnewline
25 & 2.5 & 2.79025 & 2.75 & 0.0402514 & -0.290251 \tabularnewline
26 & 0 & 1.83475 & 1.875 & -0.0402514 & -1.83475 \tabularnewline
27 & 5 & 4.16525 & 4.125 & 0.0402514 & 0.834749 \tabularnewline
28 & 6.5 & 5.70975 & 5.75 & -0.0402514 & 0.790251 \tabularnewline
29 & 5 & 5.66525 & 5.625 & 0.0402514 & -0.665251 \tabularnewline
30 & 6 & 5.58475 & 5.625 & -0.0402514 & 0.415251 \tabularnewline
31 & 5.5 & 4.54025 & 4.5 & 0.0402514 & 0.959749 \tabularnewline
32 & 1 & 3.33475 & 3.375 & -0.0402514 & -2.33475 \tabularnewline
33 & 6 & 4.54025 & 4.5 & 0.0402514 & 1.45975 \tabularnewline
34 & 5 & 4.20975 & 4.25 & -0.0402514 & 0.790251 \tabularnewline
35 & 1 & 3.04025 & 3 & 0.0402514 & -2.04025 \tabularnewline
36 & 5 & 4.33475 & 4.375 & -0.0402514 & 0.665251 \tabularnewline
37 & 6.5 & 6.29025 & 6.25 & 0.0402514 & 0.209749 \tabularnewline
38 & 7 & 6.20975 & 6.25 & -0.0402514 & 0.790251 \tabularnewline
39 & 4.5 & 6.16525 & 6.125 & 0.0402514 & -1.66525 \tabularnewline
40 & 8.5 & 7.20975 & 7.25 & -0.0402514 & 1.29025 \tabularnewline
41 & 7.5 & 6.79025 & 6.75 & 0.0402514 & 0.709749 \tabularnewline
42 & 3.5 & 5.83475 & 5.875 & -0.0402514 & -2.33475 \tabularnewline
43 & 9 & 6.29025 & 6.25 & 0.0402514 & 2.70975 \tabularnewline
44 & 3.5 & 5.58475 & 5.625 & -0.0402514 & -2.08475 \tabularnewline
45 & 6.5 & 6.04025 & 6 & 0.0402514 & 0.459749 \tabularnewline
46 & 7.5 & 7.20975 & 7.25 & -0.0402514 & 0.290251 \tabularnewline
47 & 7.5 & 7.29025 & 7.25 & 0.0402514 & 0.209749 \tabularnewline
48 & 6.5 & 5.45975 & 5.5 & -0.0402514 & 1.04025 \tabularnewline
49 & 1.5 & 2.41525 & 2.375 & 0.0402514 & -0.915251 \tabularnewline
50 & 0 & 1.70975 & 1.75 & -0.0402514 & -1.70975 \tabularnewline
51 & 5.5 & 4.04025 & 4 & 0.0402514 & 1.45975 \tabularnewline
52 & 5 & 5.58475 & 5.625 & -0.0402514 & -0.584749 \tabularnewline
53 & 7 & 4.79025 & 4.75 & 0.0402514 & 2.20975 \tabularnewline
54 & 0 & 2.83475 & 2.875 & -0.0402514 & -2.83475 \tabularnewline
55 & 4.5 & 2.66525 & 2.625 & 0.0402514 & 1.83475 \tabularnewline
56 & 1.5 & 2.45975 & 2.5 & -0.0402514 & -0.959749 \tabularnewline
57 & 2.5 & 3.04025 & 3 & 0.0402514 & -0.540251 \tabularnewline
58 & 5.5 & 5.33475 & 5.375 & -0.0402514 & 0.165251 \tabularnewline
59 & 8 & 5.66525 & 5.625 & 0.0402514 & 2.33475 \tabularnewline
60 & 1 & 3.70975 & 3.75 & -0.0402514 & -2.70975 \tabularnewline
61 & 5 & 3.54025 & 3.5 & 0.0402514 & 1.45975 \tabularnewline
62 & 3 & 3.45975 & 3.5 & -0.0402514 & -0.459749 \tabularnewline
63 & 3 & 4.29025 & 4.25 & 0.0402514 & -1.29025 \tabularnewline
64 & 8 & 6.08475 & 6.125 & -0.0402514 & 1.91525 \tabularnewline
65 & 5.5 & 4.91525 & 4.875 & 0.0402514 & 0.584749 \tabularnewline
66 & 0.5 & 3.45975 & 3.5 & -0.0402514 & -2.95975 \tabularnewline
67 & 7.5 & 6.16525 & 6.125 & 0.0402514 & 1.33475 \tabularnewline
68 & 9 & 8.70975 & 8.75 & -0.0402514 & 0.290251 \tabularnewline
69 & 9.5 & 8.79025 & 8.75 & 0.0402514 & 0.709749 \tabularnewline
70 & 7 & 7.83475 & 7.875 & -0.0402514 & -0.834749 \tabularnewline
71 & 8 & 7.54025 & 7.5 & 0.0402514 & 0.459749 \tabularnewline
72 & 7 & 7.83475 & 7.875 & -0.0402514 & -0.834749 \tabularnewline
73 & 9.5 & 7.54025 & 7.5 & 0.0402514 & 1.95975 \tabularnewline
74 & 4 & 5.83475 & 5.875 & -0.0402514 & -1.83475 \tabularnewline
75 & 6 & 6.04025 & 6 & 0.0402514 & -0.0402514 \tabularnewline
76 & 8 & 6.83475 & 6.875 & -0.0402514 & 1.16525 \tabularnewline
77 & 5.5 & 7.16525 & 7.125 & 0.0402514 & -1.66525 \tabularnewline
78 & 9.5 & 7.95975 & 8 & -0.0402514 & 1.54025 \tabularnewline
79 & 7.5 & 7.91525 & 7.875 & 0.0402514 & -0.415251 \tabularnewline
80 & 7 & 7.33475 & 7.375 & -0.0402514 & -0.334749 \tabularnewline
81 & 8 & 7.54025 & 7.5 & 0.0402514 & 0.459749 \tabularnewline
82 & 7 & 7.20975 & 7.25 & -0.0402514 & -0.209749 \tabularnewline
83 & 7 & 6.79025 & 6.75 & 0.0402514 & 0.209749 \tabularnewline
84 & 6 & 7.20975 & 7.25 & -0.0402514 & -1.20975 \tabularnewline
85 & 10 & 7.16525 & 7.125 & 0.0402514 & 2.83475 \tabularnewline
86 & 2.5 & 5.70975 & 5.75 & -0.0402514 & -3.20975 \tabularnewline
87 & 8 & 6.16525 & 6.125 & 0.0402514 & 1.83475 \tabularnewline
88 & 6 & 7.08475 & 7.125 & -0.0402514 & -1.08475 \tabularnewline
89 & 8.5 & 7.29025 & 7.25 & 0.0402514 & 1.20975 \tabularnewline
90 & 6 & 7.33475 & 7.375 & -0.0402514 & -1.33475 \tabularnewline
91 & 9 & 7.41525 & 7.375 & 0.0402514 & 1.58475 \tabularnewline
92 & 5.5 & 7.20975 & 7.25 & -0.0402514 & -1.70975 \tabularnewline
93 & 9 & 8.04025 & 8 & 0.0402514 & 0.959749 \tabularnewline
94 & 8.5 & 8.70975 & 8.75 & -0.0402514 & -0.209749 \tabularnewline
95 & 9 & 8.91525 & 8.875 & 0.0402514 & 0.0847486 \tabularnewline
96 & 9 & 8.58475 & 8.625 & -0.0402514 & 0.415251 \tabularnewline
97 & 7.5 & 8.54025 & 8.5 & 0.0402514 & -1.04025 \tabularnewline
98 & 10 & 8.95975 & 9 & -0.0402514 & 1.04025 \tabularnewline
99 & 8.5 & 9.29025 & 9.25 & 0.0402514 & -0.790251 \tabularnewline
100 & 10 & 8.70975 & 8.75 & -0.0402514 & 1.29025 \tabularnewline
101 & 6.5 & 7.91525 & 7.875 & 0.0402514 & -1.41525 \tabularnewline
102 & 8.5 & 7.83475 & 7.875 & -0.0402514 & 0.665251 \tabularnewline
103 & 8 & 7.91525 & 7.875 & 0.0402514 & 0.0847486 \tabularnewline
104 & 7 & 7.33475 & 7.375 & -0.0402514 & -0.334749 \tabularnewline
105 & 7.5 & 7.41525 & 7.375 & 0.0402514 & 0.0847486 \tabularnewline
106 & 7.5 & 7.95975 & 8 & -0.0402514 & -0.459749 \tabularnewline
107 & 9.5 & 8.16525 & 8.125 & 0.0402514 & 1.33475 \tabularnewline
108 & 6 & 7.08475 & 7.125 & -0.0402514 & -1.08475 \tabularnewline
109 & 7 & 7.54025 & 7.5 & 0.0402514 & -0.540251 \tabularnewline
110 & 10 & 7.58475 & 7.625 & -0.0402514 & 2.41525 \tabularnewline
111 & 3.5 & 5.91525 & 5.875 & 0.0402514 & -2.41525 \tabularnewline
112 & 6.5 & 5.70975 & 5.75 & -0.0402514 & 0.790251 \tabularnewline
113 & 6.5 & 7.04025 & 7 & 0.0402514 & -0.540251 \tabularnewline
114 & 8.5 & 6.83475 & 6.875 & -0.0402514 & 1.66525 \tabularnewline
115 & 4 & 6.29025 & 6.25 & 0.0402514 & -2.29025 \tabularnewline
116 & 8.5 & 7.70975 & 7.75 & -0.0402514 & 0.790251 \tabularnewline
117 & 10 & 9.16525 & 9.125 & 0.0402514 & 0.834749 \tabularnewline
118 & 8 & 7.70975 & 7.75 & -0.0402514 & 0.290251 \tabularnewline
119 & 5 & 5.66525 & 5.625 & 0.0402514 & -0.665251 \tabularnewline
120 & 4.5 & 5.58475 & 5.625 & -0.0402514 & -1.08475 \tabularnewline
121 & 8.5 & 7.54025 & 7.5 & 0.0402514 & 0.959749 \tabularnewline
122 & 8.5 & 8.20975 & 8.25 & -0.0402514 & 0.290251 \tabularnewline
123 & 7.5 & 7.79025 & 7.75 & 0.0402514 & -0.290251 \tabularnewline
124 & 7.5 & 6.95975 & 7 & -0.0402514 & 0.540251 \tabularnewline
125 & 5.5 & 6.79025 & 6.75 & 0.0402514 & -1.29025 \tabularnewline
126 & 8.5 & 7.95975 & 8 & -0.0402514 & 0.540251 \tabularnewline
127 & 9.5 & 8.66525 & 8.625 & 0.0402514 & 0.834749 \tabularnewline
128 & 7 & 7.45975 & 7.5 & -0.0402514 & -0.459749 \tabularnewline
129 & 6.5 & 6.66525 & 6.625 & 0.0402514 & -0.165251 \tabularnewline
130 & 6.5 & 7.33475 & 7.375 & -0.0402514 & -0.834749 \tabularnewline
131 & 10 & 9.16525 & 9.125 & 0.0402514 & 0.834749 \tabularnewline
132 & 10 & 9.33475 & 9.375 & -0.0402514 & 0.665251 \tabularnewline
133 & 7.5 & 7.41525 & 7.375 & 0.0402514 & 0.0847486 \tabularnewline
134 & 4.5 & 5.20975 & 5.25 & -0.0402514 & -0.709749 \tabularnewline
135 & 4.5 & 3.54025 & 3.5 & 0.0402514 & 0.959749 \tabularnewline
136 & 0.5 & 2.45975 & 2.5 & -0.0402514 & -1.95975 \tabularnewline
137 & 4.5 & 3.79025 & 3.75 & 0.0402514 & 0.709749 \tabularnewline
138 & 5.5 & 5.08475 & 5.125 & -0.0402514 & 0.415251 \tabularnewline
139 & 5 & 5.91525 & 5.875 & 0.0402514 & -0.915251 \tabularnewline
140 & 8 & 6.83475 & 6.875 & -0.0402514 & 1.16525 \tabularnewline
141 & 6.5 & 7.29025 & 7.25 & 0.0402514 & -0.790251 \tabularnewline
142 & 8 & 6.95975 & 7 & -0.0402514 & 1.04025 \tabularnewline
143 & 5.5 & 6.04025 & 6 & 0.0402514 & -0.540251 \tabularnewline
144 & 5 & 4.70975 & 4.75 & -0.0402514 & 0.290251 \tabularnewline
145 & 3.5 & 5.29025 & 5.25 & 0.0402514 & -1.79025 \tabularnewline
146 & 9 & 6.58475 & 6.625 & -0.0402514 & 2.41525 \tabularnewline
147 & 5 & 5.54025 & 5.5 & 0.0402514 & -0.540251 \tabularnewline
148 & 3 & 2.83475 & 2.875 & -0.0402514 & 0.165251 \tabularnewline
149 & 0.5 & 2.66525 & 2.625 & 0.0402514 & -2.16525 \tabularnewline
150 & 6.5 & 4.45975 & 4.5 & -0.0402514 & 2.04025 \tabularnewline
151 & 4.5 & 5.91525 & 5.875 & 0.0402514 & -1.41525 \tabularnewline
152 & 8 & 6.95975 & 7 & -0.0402514 & 1.04025 \tabularnewline
153 & 7.5 & 8.16525 & 8.125 & 0.0402514 & -0.665251 \tabularnewline
154 & 9.5 & 8.20975 & 8.25 & -0.0402514 & 1.29025 \tabularnewline
155 & 6.5 & 7.16525 & 7.125 & 0.0402514 & -0.665251 \tabularnewline
156 & 6 & 6.58475 & 6.625 & -0.0402514 & -0.584749 \tabularnewline
157 & 8 & NA & NA & 0.0402514 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267102&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[/C][C]NA[/C][C]NA[/C][C]0.0402514[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1[/C][C]2.20975[/C][C]2.25[/C][C]-0.0402514[/C][C]-1.20975[/C][/ROW]
[ROW][C]3[/C][C]1[/C][C]2.16525[/C][C]2.125[/C][C]0.0402514[/C][C]-1.16525[/C][/ROW]
[ROW][C]4[/C][C]5.5[/C][C]4.58475[/C][C]4.625[/C][C]-0.0402514[/C][C]0.915251[/C][/ROW]
[ROW][C]5[/C][C]6.5[/C][C]5.79025[/C][C]5.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]6[/C][C]4.5[/C][C]4.33475[/C][C]4.375[/C][C]-0.0402514[/C][C]0.165251[/C][/ROW]
[ROW][C]7[/C][C]2[/C][C]3.41525[/C][C]3.375[/C][C]0.0402514[/C][C]-1.41525[/C][/ROW]
[ROW][C]8[/C][C]5[/C][C]3.08475[/C][C]3.125[/C][C]-0.0402514[/C][C]1.91525[/C][/ROW]
[ROW][C]9[/C][C]0.5[/C][C]2.79025[/C][C]2.75[/C][C]0.0402514[/C][C]-2.29025[/C][/ROW]
[ROW][C]10[/C][C]5[/C][C]3.95975[/C][C]4[/C][C]-0.0402514[/C][C]1.04025[/C][/ROW]
[ROW][C]11[/C][C]5.5[/C][C]4.79025[/C][C]4.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]12[/C][C]3[/C][C]2.95975[/C][C]3[/C][C]-0.0402514[/C][C]0.0402514[/C][/ROW]
[ROW][C]13[/C][C]0.5[/C][C]2.66525[/C][C]2.625[/C][C]0.0402514[/C][C]-2.16525[/C][/ROW]
[ROW][C]14[/C][C]6.5[/C][C]5.20975[/C][C]5.25[/C][C]-0.0402514[/C][C]1.29025[/C][/ROW]
[ROW][C]15[/C][C]7.5[/C][C]6.79025[/C][C]6.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]16[/C][C]5.5[/C][C]5.58475[/C][C]5.625[/C][C]-0.0402514[/C][C]-0.0847486[/C][/ROW]
[ROW][C]17[/C][C]4[/C][C]5.29025[/C][C]5.25[/C][C]0.0402514[/C][C]-1.29025[/C][/ROW]
[ROW][C]18[/C][C]7.5[/C][C]5.70975[/C][C]5.75[/C][C]-0.0402514[/C][C]1.79025[/C][/ROW]
[ROW][C]19[/C][C]4[/C][C]4.79025[/C][C]4.75[/C][C]0.0402514[/C][C]-0.790251[/C][/ROW]
[ROW][C]20[/C][C]3.5[/C][C]3.33475[/C][C]3.375[/C][C]-0.0402514[/C][C]0.165251[/C][/ROW]
[ROW][C]21[/C][C]2.5[/C][C]3.29025[/C][C]3.25[/C][C]0.0402514[/C][C]-0.790251[/C][/ROW]
[ROW][C]22[/C][C]4.5[/C][C]3.95975[/C][C]4[/C][C]-0.0402514[/C][C]0.540251[/C][/ROW]
[ROW][C]23[/C][C]4.5[/C][C]4.91525[/C][C]4.875[/C][C]0.0402514[/C][C]-0.415251[/C][/ROW]
[ROW][C]24[/C][C]6[/C][C]4.70975[/C][C]4.75[/C][C]-0.0402514[/C][C]1.29025[/C][/ROW]
[ROW][C]25[/C][C]2.5[/C][C]2.79025[/C][C]2.75[/C][C]0.0402514[/C][C]-0.290251[/C][/ROW]
[ROW][C]26[/C][C]0[/C][C]1.83475[/C][C]1.875[/C][C]-0.0402514[/C][C]-1.83475[/C][/ROW]
[ROW][C]27[/C][C]5[/C][C]4.16525[/C][C]4.125[/C][C]0.0402514[/C][C]0.834749[/C][/ROW]
[ROW][C]28[/C][C]6.5[/C][C]5.70975[/C][C]5.75[/C][C]-0.0402514[/C][C]0.790251[/C][/ROW]
[ROW][C]29[/C][C]5[/C][C]5.66525[/C][C]5.625[/C][C]0.0402514[/C][C]-0.665251[/C][/ROW]
[ROW][C]30[/C][C]6[/C][C]5.58475[/C][C]5.625[/C][C]-0.0402514[/C][C]0.415251[/C][/ROW]
[ROW][C]31[/C][C]5.5[/C][C]4.54025[/C][C]4.5[/C][C]0.0402514[/C][C]0.959749[/C][/ROW]
[ROW][C]32[/C][C]1[/C][C]3.33475[/C][C]3.375[/C][C]-0.0402514[/C][C]-2.33475[/C][/ROW]
[ROW][C]33[/C][C]6[/C][C]4.54025[/C][C]4.5[/C][C]0.0402514[/C][C]1.45975[/C][/ROW]
[ROW][C]34[/C][C]5[/C][C]4.20975[/C][C]4.25[/C][C]-0.0402514[/C][C]0.790251[/C][/ROW]
[ROW][C]35[/C][C]1[/C][C]3.04025[/C][C]3[/C][C]0.0402514[/C][C]-2.04025[/C][/ROW]
[ROW][C]36[/C][C]5[/C][C]4.33475[/C][C]4.375[/C][C]-0.0402514[/C][C]0.665251[/C][/ROW]
[ROW][C]37[/C][C]6.5[/C][C]6.29025[/C][C]6.25[/C][C]0.0402514[/C][C]0.209749[/C][/ROW]
[ROW][C]38[/C][C]7[/C][C]6.20975[/C][C]6.25[/C][C]-0.0402514[/C][C]0.790251[/C][/ROW]
[ROW][C]39[/C][C]4.5[/C][C]6.16525[/C][C]6.125[/C][C]0.0402514[/C][C]-1.66525[/C][/ROW]
[ROW][C]40[/C][C]8.5[/C][C]7.20975[/C][C]7.25[/C][C]-0.0402514[/C][C]1.29025[/C][/ROW]
[ROW][C]41[/C][C]7.5[/C][C]6.79025[/C][C]6.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]42[/C][C]3.5[/C][C]5.83475[/C][C]5.875[/C][C]-0.0402514[/C][C]-2.33475[/C][/ROW]
[ROW][C]43[/C][C]9[/C][C]6.29025[/C][C]6.25[/C][C]0.0402514[/C][C]2.70975[/C][/ROW]
[ROW][C]44[/C][C]3.5[/C][C]5.58475[/C][C]5.625[/C][C]-0.0402514[/C][C]-2.08475[/C][/ROW]
[ROW][C]45[/C][C]6.5[/C][C]6.04025[/C][C]6[/C][C]0.0402514[/C][C]0.459749[/C][/ROW]
[ROW][C]46[/C][C]7.5[/C][C]7.20975[/C][C]7.25[/C][C]-0.0402514[/C][C]0.290251[/C][/ROW]
[ROW][C]47[/C][C]7.5[/C][C]7.29025[/C][C]7.25[/C][C]0.0402514[/C][C]0.209749[/C][/ROW]
[ROW][C]48[/C][C]6.5[/C][C]5.45975[/C][C]5.5[/C][C]-0.0402514[/C][C]1.04025[/C][/ROW]
[ROW][C]49[/C][C]1.5[/C][C]2.41525[/C][C]2.375[/C][C]0.0402514[/C][C]-0.915251[/C][/ROW]
[ROW][C]50[/C][C]0[/C][C]1.70975[/C][C]1.75[/C][C]-0.0402514[/C][C]-1.70975[/C][/ROW]
[ROW][C]51[/C][C]5.5[/C][C]4.04025[/C][C]4[/C][C]0.0402514[/C][C]1.45975[/C][/ROW]
[ROW][C]52[/C][C]5[/C][C]5.58475[/C][C]5.625[/C][C]-0.0402514[/C][C]-0.584749[/C][/ROW]
[ROW][C]53[/C][C]7[/C][C]4.79025[/C][C]4.75[/C][C]0.0402514[/C][C]2.20975[/C][/ROW]
[ROW][C]54[/C][C]0[/C][C]2.83475[/C][C]2.875[/C][C]-0.0402514[/C][C]-2.83475[/C][/ROW]
[ROW][C]55[/C][C]4.5[/C][C]2.66525[/C][C]2.625[/C][C]0.0402514[/C][C]1.83475[/C][/ROW]
[ROW][C]56[/C][C]1.5[/C][C]2.45975[/C][C]2.5[/C][C]-0.0402514[/C][C]-0.959749[/C][/ROW]
[ROW][C]57[/C][C]2.5[/C][C]3.04025[/C][C]3[/C][C]0.0402514[/C][C]-0.540251[/C][/ROW]
[ROW][C]58[/C][C]5.5[/C][C]5.33475[/C][C]5.375[/C][C]-0.0402514[/C][C]0.165251[/C][/ROW]
[ROW][C]59[/C][C]8[/C][C]5.66525[/C][C]5.625[/C][C]0.0402514[/C][C]2.33475[/C][/ROW]
[ROW][C]60[/C][C]1[/C][C]3.70975[/C][C]3.75[/C][C]-0.0402514[/C][C]-2.70975[/C][/ROW]
[ROW][C]61[/C][C]5[/C][C]3.54025[/C][C]3.5[/C][C]0.0402514[/C][C]1.45975[/C][/ROW]
[ROW][C]62[/C][C]3[/C][C]3.45975[/C][C]3.5[/C][C]-0.0402514[/C][C]-0.459749[/C][/ROW]
[ROW][C]63[/C][C]3[/C][C]4.29025[/C][C]4.25[/C][C]0.0402514[/C][C]-1.29025[/C][/ROW]
[ROW][C]64[/C][C]8[/C][C]6.08475[/C][C]6.125[/C][C]-0.0402514[/C][C]1.91525[/C][/ROW]
[ROW][C]65[/C][C]5.5[/C][C]4.91525[/C][C]4.875[/C][C]0.0402514[/C][C]0.584749[/C][/ROW]
[ROW][C]66[/C][C]0.5[/C][C]3.45975[/C][C]3.5[/C][C]-0.0402514[/C][C]-2.95975[/C][/ROW]
[ROW][C]67[/C][C]7.5[/C][C]6.16525[/C][C]6.125[/C][C]0.0402514[/C][C]1.33475[/C][/ROW]
[ROW][C]68[/C][C]9[/C][C]8.70975[/C][C]8.75[/C][C]-0.0402514[/C][C]0.290251[/C][/ROW]
[ROW][C]69[/C][C]9.5[/C][C]8.79025[/C][C]8.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]70[/C][C]7[/C][C]7.83475[/C][C]7.875[/C][C]-0.0402514[/C][C]-0.834749[/C][/ROW]
[ROW][C]71[/C][C]8[/C][C]7.54025[/C][C]7.5[/C][C]0.0402514[/C][C]0.459749[/C][/ROW]
[ROW][C]72[/C][C]7[/C][C]7.83475[/C][C]7.875[/C][C]-0.0402514[/C][C]-0.834749[/C][/ROW]
[ROW][C]73[/C][C]9.5[/C][C]7.54025[/C][C]7.5[/C][C]0.0402514[/C][C]1.95975[/C][/ROW]
[ROW][C]74[/C][C]4[/C][C]5.83475[/C][C]5.875[/C][C]-0.0402514[/C][C]-1.83475[/C][/ROW]
[ROW][C]75[/C][C]6[/C][C]6.04025[/C][C]6[/C][C]0.0402514[/C][C]-0.0402514[/C][/ROW]
[ROW][C]76[/C][C]8[/C][C]6.83475[/C][C]6.875[/C][C]-0.0402514[/C][C]1.16525[/C][/ROW]
[ROW][C]77[/C][C]5.5[/C][C]7.16525[/C][C]7.125[/C][C]0.0402514[/C][C]-1.66525[/C][/ROW]
[ROW][C]78[/C][C]9.5[/C][C]7.95975[/C][C]8[/C][C]-0.0402514[/C][C]1.54025[/C][/ROW]
[ROW][C]79[/C][C]7.5[/C][C]7.91525[/C][C]7.875[/C][C]0.0402514[/C][C]-0.415251[/C][/ROW]
[ROW][C]80[/C][C]7[/C][C]7.33475[/C][C]7.375[/C][C]-0.0402514[/C][C]-0.334749[/C][/ROW]
[ROW][C]81[/C][C]8[/C][C]7.54025[/C][C]7.5[/C][C]0.0402514[/C][C]0.459749[/C][/ROW]
[ROW][C]82[/C][C]7[/C][C]7.20975[/C][C]7.25[/C][C]-0.0402514[/C][C]-0.209749[/C][/ROW]
[ROW][C]83[/C][C]7[/C][C]6.79025[/C][C]6.75[/C][C]0.0402514[/C][C]0.209749[/C][/ROW]
[ROW][C]84[/C][C]6[/C][C]7.20975[/C][C]7.25[/C][C]-0.0402514[/C][C]-1.20975[/C][/ROW]
[ROW][C]85[/C][C]10[/C][C]7.16525[/C][C]7.125[/C][C]0.0402514[/C][C]2.83475[/C][/ROW]
[ROW][C]86[/C][C]2.5[/C][C]5.70975[/C][C]5.75[/C][C]-0.0402514[/C][C]-3.20975[/C][/ROW]
[ROW][C]87[/C][C]8[/C][C]6.16525[/C][C]6.125[/C][C]0.0402514[/C][C]1.83475[/C][/ROW]
[ROW][C]88[/C][C]6[/C][C]7.08475[/C][C]7.125[/C][C]-0.0402514[/C][C]-1.08475[/C][/ROW]
[ROW][C]89[/C][C]8.5[/C][C]7.29025[/C][C]7.25[/C][C]0.0402514[/C][C]1.20975[/C][/ROW]
[ROW][C]90[/C][C]6[/C][C]7.33475[/C][C]7.375[/C][C]-0.0402514[/C][C]-1.33475[/C][/ROW]
[ROW][C]91[/C][C]9[/C][C]7.41525[/C][C]7.375[/C][C]0.0402514[/C][C]1.58475[/C][/ROW]
[ROW][C]92[/C][C]5.5[/C][C]7.20975[/C][C]7.25[/C][C]-0.0402514[/C][C]-1.70975[/C][/ROW]
[ROW][C]93[/C][C]9[/C][C]8.04025[/C][C]8[/C][C]0.0402514[/C][C]0.959749[/C][/ROW]
[ROW][C]94[/C][C]8.5[/C][C]8.70975[/C][C]8.75[/C][C]-0.0402514[/C][C]-0.209749[/C][/ROW]
[ROW][C]95[/C][C]9[/C][C]8.91525[/C][C]8.875[/C][C]0.0402514[/C][C]0.0847486[/C][/ROW]
[ROW][C]96[/C][C]9[/C][C]8.58475[/C][C]8.625[/C][C]-0.0402514[/C][C]0.415251[/C][/ROW]
[ROW][C]97[/C][C]7.5[/C][C]8.54025[/C][C]8.5[/C][C]0.0402514[/C][C]-1.04025[/C][/ROW]
[ROW][C]98[/C][C]10[/C][C]8.95975[/C][C]9[/C][C]-0.0402514[/C][C]1.04025[/C][/ROW]
[ROW][C]99[/C][C]8.5[/C][C]9.29025[/C][C]9.25[/C][C]0.0402514[/C][C]-0.790251[/C][/ROW]
[ROW][C]100[/C][C]10[/C][C]8.70975[/C][C]8.75[/C][C]-0.0402514[/C][C]1.29025[/C][/ROW]
[ROW][C]101[/C][C]6.5[/C][C]7.91525[/C][C]7.875[/C][C]0.0402514[/C][C]-1.41525[/C][/ROW]
[ROW][C]102[/C][C]8.5[/C][C]7.83475[/C][C]7.875[/C][C]-0.0402514[/C][C]0.665251[/C][/ROW]
[ROW][C]103[/C][C]8[/C][C]7.91525[/C][C]7.875[/C][C]0.0402514[/C][C]0.0847486[/C][/ROW]
[ROW][C]104[/C][C]7[/C][C]7.33475[/C][C]7.375[/C][C]-0.0402514[/C][C]-0.334749[/C][/ROW]
[ROW][C]105[/C][C]7.5[/C][C]7.41525[/C][C]7.375[/C][C]0.0402514[/C][C]0.0847486[/C][/ROW]
[ROW][C]106[/C][C]7.5[/C][C]7.95975[/C][C]8[/C][C]-0.0402514[/C][C]-0.459749[/C][/ROW]
[ROW][C]107[/C][C]9.5[/C][C]8.16525[/C][C]8.125[/C][C]0.0402514[/C][C]1.33475[/C][/ROW]
[ROW][C]108[/C][C]6[/C][C]7.08475[/C][C]7.125[/C][C]-0.0402514[/C][C]-1.08475[/C][/ROW]
[ROW][C]109[/C][C]7[/C][C]7.54025[/C][C]7.5[/C][C]0.0402514[/C][C]-0.540251[/C][/ROW]
[ROW][C]110[/C][C]10[/C][C]7.58475[/C][C]7.625[/C][C]-0.0402514[/C][C]2.41525[/C][/ROW]
[ROW][C]111[/C][C]3.5[/C][C]5.91525[/C][C]5.875[/C][C]0.0402514[/C][C]-2.41525[/C][/ROW]
[ROW][C]112[/C][C]6.5[/C][C]5.70975[/C][C]5.75[/C][C]-0.0402514[/C][C]0.790251[/C][/ROW]
[ROW][C]113[/C][C]6.5[/C][C]7.04025[/C][C]7[/C][C]0.0402514[/C][C]-0.540251[/C][/ROW]
[ROW][C]114[/C][C]8.5[/C][C]6.83475[/C][C]6.875[/C][C]-0.0402514[/C][C]1.66525[/C][/ROW]
[ROW][C]115[/C][C]4[/C][C]6.29025[/C][C]6.25[/C][C]0.0402514[/C][C]-2.29025[/C][/ROW]
[ROW][C]116[/C][C]8.5[/C][C]7.70975[/C][C]7.75[/C][C]-0.0402514[/C][C]0.790251[/C][/ROW]
[ROW][C]117[/C][C]10[/C][C]9.16525[/C][C]9.125[/C][C]0.0402514[/C][C]0.834749[/C][/ROW]
[ROW][C]118[/C][C]8[/C][C]7.70975[/C][C]7.75[/C][C]-0.0402514[/C][C]0.290251[/C][/ROW]
[ROW][C]119[/C][C]5[/C][C]5.66525[/C][C]5.625[/C][C]0.0402514[/C][C]-0.665251[/C][/ROW]
[ROW][C]120[/C][C]4.5[/C][C]5.58475[/C][C]5.625[/C][C]-0.0402514[/C][C]-1.08475[/C][/ROW]
[ROW][C]121[/C][C]8.5[/C][C]7.54025[/C][C]7.5[/C][C]0.0402514[/C][C]0.959749[/C][/ROW]
[ROW][C]122[/C][C]8.5[/C][C]8.20975[/C][C]8.25[/C][C]-0.0402514[/C][C]0.290251[/C][/ROW]
[ROW][C]123[/C][C]7.5[/C][C]7.79025[/C][C]7.75[/C][C]0.0402514[/C][C]-0.290251[/C][/ROW]
[ROW][C]124[/C][C]7.5[/C][C]6.95975[/C][C]7[/C][C]-0.0402514[/C][C]0.540251[/C][/ROW]
[ROW][C]125[/C][C]5.5[/C][C]6.79025[/C][C]6.75[/C][C]0.0402514[/C][C]-1.29025[/C][/ROW]
[ROW][C]126[/C][C]8.5[/C][C]7.95975[/C][C]8[/C][C]-0.0402514[/C][C]0.540251[/C][/ROW]
[ROW][C]127[/C][C]9.5[/C][C]8.66525[/C][C]8.625[/C][C]0.0402514[/C][C]0.834749[/C][/ROW]
[ROW][C]128[/C][C]7[/C][C]7.45975[/C][C]7.5[/C][C]-0.0402514[/C][C]-0.459749[/C][/ROW]
[ROW][C]129[/C][C]6.5[/C][C]6.66525[/C][C]6.625[/C][C]0.0402514[/C][C]-0.165251[/C][/ROW]
[ROW][C]130[/C][C]6.5[/C][C]7.33475[/C][C]7.375[/C][C]-0.0402514[/C][C]-0.834749[/C][/ROW]
[ROW][C]131[/C][C]10[/C][C]9.16525[/C][C]9.125[/C][C]0.0402514[/C][C]0.834749[/C][/ROW]
[ROW][C]132[/C][C]10[/C][C]9.33475[/C][C]9.375[/C][C]-0.0402514[/C][C]0.665251[/C][/ROW]
[ROW][C]133[/C][C]7.5[/C][C]7.41525[/C][C]7.375[/C][C]0.0402514[/C][C]0.0847486[/C][/ROW]
[ROW][C]134[/C][C]4.5[/C][C]5.20975[/C][C]5.25[/C][C]-0.0402514[/C][C]-0.709749[/C][/ROW]
[ROW][C]135[/C][C]4.5[/C][C]3.54025[/C][C]3.5[/C][C]0.0402514[/C][C]0.959749[/C][/ROW]
[ROW][C]136[/C][C]0.5[/C][C]2.45975[/C][C]2.5[/C][C]-0.0402514[/C][C]-1.95975[/C][/ROW]
[ROW][C]137[/C][C]4.5[/C][C]3.79025[/C][C]3.75[/C][C]0.0402514[/C][C]0.709749[/C][/ROW]
[ROW][C]138[/C][C]5.5[/C][C]5.08475[/C][C]5.125[/C][C]-0.0402514[/C][C]0.415251[/C][/ROW]
[ROW][C]139[/C][C]5[/C][C]5.91525[/C][C]5.875[/C][C]0.0402514[/C][C]-0.915251[/C][/ROW]
[ROW][C]140[/C][C]8[/C][C]6.83475[/C][C]6.875[/C][C]-0.0402514[/C][C]1.16525[/C][/ROW]
[ROW][C]141[/C][C]6.5[/C][C]7.29025[/C][C]7.25[/C][C]0.0402514[/C][C]-0.790251[/C][/ROW]
[ROW][C]142[/C][C]8[/C][C]6.95975[/C][C]7[/C][C]-0.0402514[/C][C]1.04025[/C][/ROW]
[ROW][C]143[/C][C]5.5[/C][C]6.04025[/C][C]6[/C][C]0.0402514[/C][C]-0.540251[/C][/ROW]
[ROW][C]144[/C][C]5[/C][C]4.70975[/C][C]4.75[/C][C]-0.0402514[/C][C]0.290251[/C][/ROW]
[ROW][C]145[/C][C]3.5[/C][C]5.29025[/C][C]5.25[/C][C]0.0402514[/C][C]-1.79025[/C][/ROW]
[ROW][C]146[/C][C]9[/C][C]6.58475[/C][C]6.625[/C][C]-0.0402514[/C][C]2.41525[/C][/ROW]
[ROW][C]147[/C][C]5[/C][C]5.54025[/C][C]5.5[/C][C]0.0402514[/C][C]-0.540251[/C][/ROW]
[ROW][C]148[/C][C]3[/C][C]2.83475[/C][C]2.875[/C][C]-0.0402514[/C][C]0.165251[/C][/ROW]
[ROW][C]149[/C][C]0.5[/C][C]2.66525[/C][C]2.625[/C][C]0.0402514[/C][C]-2.16525[/C][/ROW]
[ROW][C]150[/C][C]6.5[/C][C]4.45975[/C][C]4.5[/C][C]-0.0402514[/C][C]2.04025[/C][/ROW]
[ROW][C]151[/C][C]4.5[/C][C]5.91525[/C][C]5.875[/C][C]0.0402514[/C][C]-1.41525[/C][/ROW]
[ROW][C]152[/C][C]8[/C][C]6.95975[/C][C]7[/C][C]-0.0402514[/C][C]1.04025[/C][/ROW]
[ROW][C]153[/C][C]7.5[/C][C]8.16525[/C][C]8.125[/C][C]0.0402514[/C][C]-0.665251[/C][/ROW]
[ROW][C]154[/C][C]9.5[/C][C]8.20975[/C][C]8.25[/C][C]-0.0402514[/C][C]1.29025[/C][/ROW]
[ROW][C]155[/C][C]6.5[/C][C]7.16525[/C][C]7.125[/C][C]0.0402514[/C][C]-0.665251[/C][/ROW]
[ROW][C]156[/C][C]6[/C][C]6.58475[/C][C]6.625[/C][C]-0.0402514[/C][C]-0.584749[/C][/ROW]
[ROW][C]157[/C][C]8[/C][C]NA[/C][C]NA[/C][C]0.0402514[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267102&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	NA	NA	0.0402514	NA
2	1	2.20975	2.25	-0.0402514	-1.20975
3	1	2.16525	2.125	0.0402514	-1.16525
4	5.5	4.58475	4.625	-0.0402514	0.915251
5	6.5	5.79025	5.75	0.0402514	0.709749
6	4.5	4.33475	4.375	-0.0402514	0.165251
7	2	3.41525	3.375	0.0402514	-1.41525
8	5	3.08475	3.125	-0.0402514	1.91525
9	0.5	2.79025	2.75	0.0402514	-2.29025
10	5	3.95975	4	-0.0402514	1.04025
11	5.5	4.79025	4.75	0.0402514	0.709749
12	3	2.95975	3	-0.0402514	0.0402514
13	0.5	2.66525	2.625	0.0402514	-2.16525
14	6.5	5.20975	5.25	-0.0402514	1.29025
15	7.5	6.79025	6.75	0.0402514	0.709749
16	5.5	5.58475	5.625	-0.0402514	-0.0847486
17	4	5.29025	5.25	0.0402514	-1.29025
18	7.5	5.70975	5.75	-0.0402514	1.79025
19	4	4.79025	4.75	0.0402514	-0.790251
20	3.5	3.33475	3.375	-0.0402514	0.165251
21	2.5	3.29025	3.25	0.0402514	-0.790251
22	4.5	3.95975	4	-0.0402514	0.540251
23	4.5	4.91525	4.875	0.0402514	-0.415251
24	6	4.70975	4.75	-0.0402514	1.29025
25	2.5	2.79025	2.75	0.0402514	-0.290251
26	0	1.83475	1.875	-0.0402514	-1.83475
27	5	4.16525	4.125	0.0402514	0.834749
28	6.5	5.70975	5.75	-0.0402514	0.790251
29	5	5.66525	5.625	0.0402514	-0.665251
30	6	5.58475	5.625	-0.0402514	0.415251
31	5.5	4.54025	4.5	0.0402514	0.959749
32	1	3.33475	3.375	-0.0402514	-2.33475
33	6	4.54025	4.5	0.0402514	1.45975
34	5	4.20975	4.25	-0.0402514	0.790251
35	1	3.04025	3	0.0402514	-2.04025
36	5	4.33475	4.375	-0.0402514	0.665251
37	6.5	6.29025	6.25	0.0402514	0.209749
38	7	6.20975	6.25	-0.0402514	0.790251
39	4.5	6.16525	6.125	0.0402514	-1.66525
40	8.5	7.20975	7.25	-0.0402514	1.29025
41	7.5	6.79025	6.75	0.0402514	0.709749
42	3.5	5.83475	5.875	-0.0402514	-2.33475
43	9	6.29025	6.25	0.0402514	2.70975
44	3.5	5.58475	5.625	-0.0402514	-2.08475
45	6.5	6.04025	6	0.0402514	0.459749
46	7.5	7.20975	7.25	-0.0402514	0.290251
47	7.5	7.29025	7.25	0.0402514	0.209749
48	6.5	5.45975	5.5	-0.0402514	1.04025
49	1.5	2.41525	2.375	0.0402514	-0.915251
50	0	1.70975	1.75	-0.0402514	-1.70975
51	5.5	4.04025	4	0.0402514	1.45975
52	5	5.58475	5.625	-0.0402514	-0.584749
53	7	4.79025	4.75	0.0402514	2.20975
54	0	2.83475	2.875	-0.0402514	-2.83475
55	4.5	2.66525	2.625	0.0402514	1.83475
56	1.5	2.45975	2.5	-0.0402514	-0.959749
57	2.5	3.04025	3	0.0402514	-0.540251
58	5.5	5.33475	5.375	-0.0402514	0.165251
59	8	5.66525	5.625	0.0402514	2.33475
60	1	3.70975	3.75	-0.0402514	-2.70975
61	5	3.54025	3.5	0.0402514	1.45975
62	3	3.45975	3.5	-0.0402514	-0.459749
63	3	4.29025	4.25	0.0402514	-1.29025
64	8	6.08475	6.125	-0.0402514	1.91525
65	5.5	4.91525	4.875	0.0402514	0.584749
66	0.5	3.45975	3.5	-0.0402514	-2.95975
67	7.5	6.16525	6.125	0.0402514	1.33475
68	9	8.70975	8.75	-0.0402514	0.290251
69	9.5	8.79025	8.75	0.0402514	0.709749
70	7	7.83475	7.875	-0.0402514	-0.834749
71	8	7.54025	7.5	0.0402514	0.459749
72	7	7.83475	7.875	-0.0402514	-0.834749
73	9.5	7.54025	7.5	0.0402514	1.95975
74	4	5.83475	5.875	-0.0402514	-1.83475
75	6	6.04025	6	0.0402514	-0.0402514
76	8	6.83475	6.875	-0.0402514	1.16525
77	5.5	7.16525	7.125	0.0402514	-1.66525
78	9.5	7.95975	8	-0.0402514	1.54025
79	7.5	7.91525	7.875	0.0402514	-0.415251
80	7	7.33475	7.375	-0.0402514	-0.334749
81	8	7.54025	7.5	0.0402514	0.459749
82	7	7.20975	7.25	-0.0402514	-0.209749
83	7	6.79025	6.75	0.0402514	0.209749
84	6	7.20975	7.25	-0.0402514	-1.20975
85	10	7.16525	7.125	0.0402514	2.83475
86	2.5	5.70975	5.75	-0.0402514	-3.20975
87	8	6.16525	6.125	0.0402514	1.83475
88	6	7.08475	7.125	-0.0402514	-1.08475
89	8.5	7.29025	7.25	0.0402514	1.20975
90	6	7.33475	7.375	-0.0402514	-1.33475
91	9	7.41525	7.375	0.0402514	1.58475
92	5.5	7.20975	7.25	-0.0402514	-1.70975
93	9	8.04025	8	0.0402514	0.959749
94	8.5	8.70975	8.75	-0.0402514	-0.209749
95	9	8.91525	8.875	0.0402514	0.0847486
96	9	8.58475	8.625	-0.0402514	0.415251
97	7.5	8.54025	8.5	0.0402514	-1.04025
98	10	8.95975	9	-0.0402514	1.04025
99	8.5	9.29025	9.25	0.0402514	-0.790251
100	10	8.70975	8.75	-0.0402514	1.29025
101	6.5	7.91525	7.875	0.0402514	-1.41525
102	8.5	7.83475	7.875	-0.0402514	0.665251
103	8	7.91525	7.875	0.0402514	0.0847486
104	7	7.33475	7.375	-0.0402514	-0.334749
105	7.5	7.41525	7.375	0.0402514	0.0847486
106	7.5	7.95975	8	-0.0402514	-0.459749
107	9.5	8.16525	8.125	0.0402514	1.33475
108	6	7.08475	7.125	-0.0402514	-1.08475
109	7	7.54025	7.5	0.0402514	-0.540251
110	10	7.58475	7.625	-0.0402514	2.41525
111	3.5	5.91525	5.875	0.0402514	-2.41525
112	6.5	5.70975	5.75	-0.0402514	0.790251
113	6.5	7.04025	7	0.0402514	-0.540251
114	8.5	6.83475	6.875	-0.0402514	1.66525
115	4	6.29025	6.25	0.0402514	-2.29025
116	8.5	7.70975	7.75	-0.0402514	0.790251
117	10	9.16525	9.125	0.0402514	0.834749
118	8	7.70975	7.75	-0.0402514	0.290251
119	5	5.66525	5.625	0.0402514	-0.665251
120	4.5	5.58475	5.625	-0.0402514	-1.08475
121	8.5	7.54025	7.5	0.0402514	0.959749
122	8.5	8.20975	8.25	-0.0402514	0.290251
123	7.5	7.79025	7.75	0.0402514	-0.290251
124	7.5	6.95975	7	-0.0402514	0.540251
125	5.5	6.79025	6.75	0.0402514	-1.29025
126	8.5	7.95975	8	-0.0402514	0.540251
127	9.5	8.66525	8.625	0.0402514	0.834749
128	7	7.45975	7.5	-0.0402514	-0.459749
129	6.5	6.66525	6.625	0.0402514	-0.165251
130	6.5	7.33475	7.375	-0.0402514	-0.834749
131	10	9.16525	9.125	0.0402514	0.834749
132	10	9.33475	9.375	-0.0402514	0.665251
133	7.5	7.41525	7.375	0.0402514	0.0847486
134	4.5	5.20975	5.25	-0.0402514	-0.709749
135	4.5	3.54025	3.5	0.0402514	0.959749
136	0.5	2.45975	2.5	-0.0402514	-1.95975
137	4.5	3.79025	3.75	0.0402514	0.709749
138	5.5	5.08475	5.125	-0.0402514	0.415251
139	5	5.91525	5.875	0.0402514	-0.915251
140	8	6.83475	6.875	-0.0402514	1.16525
141	6.5	7.29025	7.25	0.0402514	-0.790251
142	8	6.95975	7	-0.0402514	1.04025
143	5.5	6.04025	6	0.0402514	-0.540251
144	5	4.70975	4.75	-0.0402514	0.290251
145	3.5	5.29025	5.25	0.0402514	-1.79025
146	9	6.58475	6.625	-0.0402514	2.41525
147	5	5.54025	5.5	0.0402514	-0.540251
148	3	2.83475	2.875	-0.0402514	0.165251
149	0.5	2.66525	2.625	0.0402514	-2.16525
150	6.5	4.45975	4.5	-0.0402514	2.04025
151	4.5	5.91525	5.875	0.0402514	-1.41525
152	8	6.95975	7	-0.0402514	1.04025
153	7.5	8.16525	8.125	0.0402514	-0.665251
154	9.5	8.20975	8.25	-0.0402514	1.29025
155	6.5	7.16525	7.125	0.0402514	-0.665251
156	6	6.58475	6.625	-0.0402514	-0.584749
157	8	NA	NA	0.0402514	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 = 1 ;

Parameters (R input):

par1 = additive ; par2 = 1 ;

R code (references can be found in the software module):

x<-na.omit(x)
par2 <- '2'
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