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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Wed, 19 Nov 2014 14:08:20 +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/Nov/19/t14164061502ajqsyv51arfxdi.htm/, Retrieved Sun, 19 May 2024 16:31:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=256432, Retrieved Sun, 19 May 2024 16:31:56 +0000

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-       [Classical Decomposition] [] [2014-11-19 14:08:20] [c4557137b9b718365486b3b7af9cd43b] [Current]
- RMPD    [Exponential Smoothing] [] [2014-11-19 15:01:03] [fa1b8827d7de91b8b87087311d3d9fa1] 
-   PD    [Classical Decomposition] [] [2014-11-19 15:31:54] [fa1b8827d7de91b8b87087311d3d9fa1] 

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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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256432&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256432&T=0

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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	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	26.6	NA	NA	0.00144194	NA
2	25	NA	NA	-0.681371	NA
3	24.2	NA	NA	-0.694391	NA
4	24.2	NA	NA	0.560296	NA
5	24.8	NA	NA	2.19259	NA
6	24.5	NA	NA	2.81186	NA
7	24.3	25.6826	23.8417	1.84091	-1.38258
8	21.6	21.4447	23.5667	-2.122	0.155329
9	22.4	21.1082	23.3375	-2.22929	1.29179
10	23.5	21.9645	23.15	-1.18554	1.53554
11	23.4	22.4363	22.9833	-0.546996	0.963662
12	23.4	22.8567	22.8042	0.0524836	0.54335
13	23	22.5264	22.525	0.00144194	0.473558
14	22	21.4311	22.1125	-0.681371	0.568871
15	21.7	20.9139	21.6083	-0.694391	0.786058
16	22.2	21.6145	21.0542	0.560296	0.585537
17	22.8	22.7593	20.5667	2.19259	0.0407456
18	22.2	22.9994	20.1875	2.81186	-0.799359
19	19.9	21.6742	19.8333	1.84091	-1.77424
20	16.1	17.278	19.4	-2.122	-1.178
21	15.8	16.6832	18.9125	-2.22929	-0.883213
22	16.8	17.3103	18.4958	-1.18554	-0.510296
23	18.4	17.7447	18.2917	-0.546996	0.655329
24	19.3	18.3942	18.3417	0.0524836	0.90585
25	18.6	18.5389	18.5375	0.00144194	0.0610581
26	16	18.0061	18.6875	-0.681371	-2.00613
27	16	18.0264	18.7208	-0.694391	-2.02644
28	17.9	19.2686	18.7083	0.560296	-1.36863
29	22.2	20.8509	18.6583	2.19259	1.34908
30	24	21.4119	18.6	2.81186	2.58814
31	22.8	20.4701	18.6292	1.84091	2.32992
32	16.8	16.753	18.875	-2.122	0.0469956
33	15.9	17.054	19.2833	-2.22929	-1.15405
34	16.4	18.477	19.6625	-1.18554	-2.07696
35	17.6	19.2905	19.8375	-0.546996	-1.6905
36	18.7	19.8442	19.7917	0.0524836	-1.14415
37	19.9	19.7223	19.7208	0.00144194	0.177725
38	20.6	19.152	19.8333	-0.681371	1.44804
39	21.2	19.4639	20.1583	-0.694391	1.73606
40	21.8	21.1853	20.625	0.560296	0.614704
41	22.5	23.3634	21.1708	2.19259	-0.863421
42	22.6	24.5327	21.7208	2.81186	-1.93269
43	22.5	24.0409	22.2	1.84091	-1.54091
44	19.8	20.4197	22.5417	-2.122	-0.619671
45	20.7	20.4999	22.7292	-2.22929	0.200121
46	22.8	21.6395	22.825	-1.18554	1.16054
47	24.3	22.3863	22.9333	-0.546996	1.91366
48	25.2	23.1233	23.0708	0.0524836	2.07668
49	24.9	23.1806	23.1792	0.00144194	1.71939
50	23.8	22.527	23.2083	-0.681371	1.27304
51	22.5	22.4389	23.1333	-0.694391	0.0610581
52	22.8	23.5353	22.975	0.560296	-0.735296
53	24.1	24.9593	22.7667	2.19259	-0.859254
54	24.3	25.2952	22.4833	2.81186	-0.995192
55	23.4	23.9451	22.1042	1.84091	-0.545076
56	19.6	19.4988	21.6208	-2.122	0.101162
57	19.1	18.8749	21.1042	-2.22929	0.225121
58	20.6	19.5353	20.7208	-1.18554	1.0647
59	21.5	19.9572	20.5042	-0.546996	1.54283
60	21.2	20.4525	20.4	0.0524836	0.747516
61	19.8	20.3223	20.3208	0.00144194	-0.522275
62	17.3	19.4061	20.0875	-0.681371	-2.10613
63	16.6	18.9764	19.6708	-0.694391	-2.37644
64	19.5	19.7311	19.1708	0.560296	-0.231129
65	22.2	20.8426	18.65	2.19259	1.35741
66	23.7	21.0202	18.2083	2.81186	2.67981
67	22.1	19.7659	17.925	1.84091	2.33409
68	15.3	15.6947	17.8167	-2.122	-0.394671
69	13.4	15.5957	17.825	-2.22929	-2.19571
70	14.3	16.5978	17.7833	-1.18554	-2.2978
71	15.3	17.0488	17.5958	-0.546996	-1.74884
72	16.8	17.3858	17.3333	0.0524836	-0.585817
73	17.4	17.1598	17.1583	0.00144194	0.240225
74	17.1	16.5645	17.2458	-0.681371	0.535537
75	17	16.9223	17.6167	-0.694391	0.0777247
76	18.1	18.652	18.0917	0.560296	-0.551963
77	19.1	20.6551	18.4625	2.19259	-1.55509
78	20.5	21.4785	18.6667	2.81186	-0.978525
79	21.1	20.6242	18.7833	1.84091	0.475757
80	18.4	16.7822	18.9042	-2.122	1.61783
81	19.2	16.8665	19.0958	-2.22929	2.33345
82	19.9	18.1686	19.3542	-1.18554	1.73137
83	18.6	19.1072	19.6542	-0.546996	-0.507171
84	18.4	19.9858	19.9333	0.0524836	-1.58582
85	18.6	20.1139	20.1125	0.00144194	-1.51394
86	18.8	19.5103	20.1917	-0.681371	-0.710296
87	19.9	19.4973	20.1917	-0.694391	0.402725
88	21.4	20.7061	20.1458	0.560296	0.693871
89	23	22.3426	20.15	2.19259	0.657412
90	23.3	23.0702	20.2583	2.81186	0.229808
91	22.6	22.2534	20.4125	1.84091	0.34659
92	18.8	18.4822	20.6042	-2.122	0.317829
93	18.8	18.5707	20.8	-2.22929	0.229287
94	19.2	19.7603	20.9458	-1.18554	-0.560296
95	19.4	20.4822	21.0292	-0.546996	-1.08217
96	20.2	21.1108	21.0583	0.0524836	-0.910817
97	20.5	21.0889	21.0875	0.00144194	-0.588942
98	21.5	20.4561	21.1375	-0.681371	1.04387
99	21.9	20.5139	21.2083	-0.694391	1.38606
100	22.9	21.8603	21.3	0.560296	1.0397
101	23.5	23.5801	21.3875	2.19259	-0.0800878
102	23.5	24.2452	21.4333	2.81186	-0.745192
103	23.1	23.2909	21.45	1.84091	-0.19091
104	19.5	NA	NA	-2.122	NA
105	19.8	NA	NA	-2.22929	NA
106	20.4	NA	NA	-1.18554	NA
107	20.3	NA	NA	-0.546996	NA
108	20.4	NA	NA	0.0524836	NA
109	20.7	NA	NA	0.00144194	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 26.6 & NA & NA & 0.00144194 & NA \tabularnewline
2 & 25 & NA & NA & -0.681371 & NA \tabularnewline
3 & 24.2 & NA & NA & -0.694391 & NA \tabularnewline
4 & 24.2 & NA & NA & 0.560296 & NA \tabularnewline
5 & 24.8 & NA & NA & 2.19259 & NA \tabularnewline
6 & 24.5 & NA & NA & 2.81186 & NA \tabularnewline
7 & 24.3 & 25.6826 & 23.8417 & 1.84091 & -1.38258 \tabularnewline
8 & 21.6 & 21.4447 & 23.5667 & -2.122 & 0.155329 \tabularnewline
9 & 22.4 & 21.1082 & 23.3375 & -2.22929 & 1.29179 \tabularnewline
10 & 23.5 & 21.9645 & 23.15 & -1.18554 & 1.53554 \tabularnewline
11 & 23.4 & 22.4363 & 22.9833 & -0.546996 & 0.963662 \tabularnewline
12 & 23.4 & 22.8567 & 22.8042 & 0.0524836 & 0.54335 \tabularnewline
13 & 23 & 22.5264 & 22.525 & 0.00144194 & 0.473558 \tabularnewline
14 & 22 & 21.4311 & 22.1125 & -0.681371 & 0.568871 \tabularnewline
15 & 21.7 & 20.9139 & 21.6083 & -0.694391 & 0.786058 \tabularnewline
16 & 22.2 & 21.6145 & 21.0542 & 0.560296 & 0.585537 \tabularnewline
17 & 22.8 & 22.7593 & 20.5667 & 2.19259 & 0.0407456 \tabularnewline
18 & 22.2 & 22.9994 & 20.1875 & 2.81186 & -0.799359 \tabularnewline
19 & 19.9 & 21.6742 & 19.8333 & 1.84091 & -1.77424 \tabularnewline
20 & 16.1 & 17.278 & 19.4 & -2.122 & -1.178 \tabularnewline
21 & 15.8 & 16.6832 & 18.9125 & -2.22929 & -0.883213 \tabularnewline
22 & 16.8 & 17.3103 & 18.4958 & -1.18554 & -0.510296 \tabularnewline
23 & 18.4 & 17.7447 & 18.2917 & -0.546996 & 0.655329 \tabularnewline
24 & 19.3 & 18.3942 & 18.3417 & 0.0524836 & 0.90585 \tabularnewline
25 & 18.6 & 18.5389 & 18.5375 & 0.00144194 & 0.0610581 \tabularnewline
26 & 16 & 18.0061 & 18.6875 & -0.681371 & -2.00613 \tabularnewline
27 & 16 & 18.0264 & 18.7208 & -0.694391 & -2.02644 \tabularnewline
28 & 17.9 & 19.2686 & 18.7083 & 0.560296 & -1.36863 \tabularnewline
29 & 22.2 & 20.8509 & 18.6583 & 2.19259 & 1.34908 \tabularnewline
30 & 24 & 21.4119 & 18.6 & 2.81186 & 2.58814 \tabularnewline
31 & 22.8 & 20.4701 & 18.6292 & 1.84091 & 2.32992 \tabularnewline
32 & 16.8 & 16.753 & 18.875 & -2.122 & 0.0469956 \tabularnewline
33 & 15.9 & 17.054 & 19.2833 & -2.22929 & -1.15405 \tabularnewline
34 & 16.4 & 18.477 & 19.6625 & -1.18554 & -2.07696 \tabularnewline
35 & 17.6 & 19.2905 & 19.8375 & -0.546996 & -1.6905 \tabularnewline
36 & 18.7 & 19.8442 & 19.7917 & 0.0524836 & -1.14415 \tabularnewline
37 & 19.9 & 19.7223 & 19.7208 & 0.00144194 & 0.177725 \tabularnewline
38 & 20.6 & 19.152 & 19.8333 & -0.681371 & 1.44804 \tabularnewline
39 & 21.2 & 19.4639 & 20.1583 & -0.694391 & 1.73606 \tabularnewline
40 & 21.8 & 21.1853 & 20.625 & 0.560296 & 0.614704 \tabularnewline
41 & 22.5 & 23.3634 & 21.1708 & 2.19259 & -0.863421 \tabularnewline
42 & 22.6 & 24.5327 & 21.7208 & 2.81186 & -1.93269 \tabularnewline
43 & 22.5 & 24.0409 & 22.2 & 1.84091 & -1.54091 \tabularnewline
44 & 19.8 & 20.4197 & 22.5417 & -2.122 & -0.619671 \tabularnewline
45 & 20.7 & 20.4999 & 22.7292 & -2.22929 & 0.200121 \tabularnewline
46 & 22.8 & 21.6395 & 22.825 & -1.18554 & 1.16054 \tabularnewline
47 & 24.3 & 22.3863 & 22.9333 & -0.546996 & 1.91366 \tabularnewline
48 & 25.2 & 23.1233 & 23.0708 & 0.0524836 & 2.07668 \tabularnewline
49 & 24.9 & 23.1806 & 23.1792 & 0.00144194 & 1.71939 \tabularnewline
50 & 23.8 & 22.527 & 23.2083 & -0.681371 & 1.27304 \tabularnewline
51 & 22.5 & 22.4389 & 23.1333 & -0.694391 & 0.0610581 \tabularnewline
52 & 22.8 & 23.5353 & 22.975 & 0.560296 & -0.735296 \tabularnewline
53 & 24.1 & 24.9593 & 22.7667 & 2.19259 & -0.859254 \tabularnewline
54 & 24.3 & 25.2952 & 22.4833 & 2.81186 & -0.995192 \tabularnewline
55 & 23.4 & 23.9451 & 22.1042 & 1.84091 & -0.545076 \tabularnewline
56 & 19.6 & 19.4988 & 21.6208 & -2.122 & 0.101162 \tabularnewline
57 & 19.1 & 18.8749 & 21.1042 & -2.22929 & 0.225121 \tabularnewline
58 & 20.6 & 19.5353 & 20.7208 & -1.18554 & 1.0647 \tabularnewline
59 & 21.5 & 19.9572 & 20.5042 & -0.546996 & 1.54283 \tabularnewline
60 & 21.2 & 20.4525 & 20.4 & 0.0524836 & 0.747516 \tabularnewline
61 & 19.8 & 20.3223 & 20.3208 & 0.00144194 & -0.522275 \tabularnewline
62 & 17.3 & 19.4061 & 20.0875 & -0.681371 & -2.10613 \tabularnewline
63 & 16.6 & 18.9764 & 19.6708 & -0.694391 & -2.37644 \tabularnewline
64 & 19.5 & 19.7311 & 19.1708 & 0.560296 & -0.231129 \tabularnewline
65 & 22.2 & 20.8426 & 18.65 & 2.19259 & 1.35741 \tabularnewline
66 & 23.7 & 21.0202 & 18.2083 & 2.81186 & 2.67981 \tabularnewline
67 & 22.1 & 19.7659 & 17.925 & 1.84091 & 2.33409 \tabularnewline
68 & 15.3 & 15.6947 & 17.8167 & -2.122 & -0.394671 \tabularnewline
69 & 13.4 & 15.5957 & 17.825 & -2.22929 & -2.19571 \tabularnewline
70 & 14.3 & 16.5978 & 17.7833 & -1.18554 & -2.2978 \tabularnewline
71 & 15.3 & 17.0488 & 17.5958 & -0.546996 & -1.74884 \tabularnewline
72 & 16.8 & 17.3858 & 17.3333 & 0.0524836 & -0.585817 \tabularnewline
73 & 17.4 & 17.1598 & 17.1583 & 0.00144194 & 0.240225 \tabularnewline
74 & 17.1 & 16.5645 & 17.2458 & -0.681371 & 0.535537 \tabularnewline
75 & 17 & 16.9223 & 17.6167 & -0.694391 & 0.0777247 \tabularnewline
76 & 18.1 & 18.652 & 18.0917 & 0.560296 & -0.551963 \tabularnewline
77 & 19.1 & 20.6551 & 18.4625 & 2.19259 & -1.55509 \tabularnewline
78 & 20.5 & 21.4785 & 18.6667 & 2.81186 & -0.978525 \tabularnewline
79 & 21.1 & 20.6242 & 18.7833 & 1.84091 & 0.475757 \tabularnewline
80 & 18.4 & 16.7822 & 18.9042 & -2.122 & 1.61783 \tabularnewline
81 & 19.2 & 16.8665 & 19.0958 & -2.22929 & 2.33345 \tabularnewline
82 & 19.9 & 18.1686 & 19.3542 & -1.18554 & 1.73137 \tabularnewline
83 & 18.6 & 19.1072 & 19.6542 & -0.546996 & -0.507171 \tabularnewline
84 & 18.4 & 19.9858 & 19.9333 & 0.0524836 & -1.58582 \tabularnewline
85 & 18.6 & 20.1139 & 20.1125 & 0.00144194 & -1.51394 \tabularnewline
86 & 18.8 & 19.5103 & 20.1917 & -0.681371 & -0.710296 \tabularnewline
87 & 19.9 & 19.4973 & 20.1917 & -0.694391 & 0.402725 \tabularnewline
88 & 21.4 & 20.7061 & 20.1458 & 0.560296 & 0.693871 \tabularnewline
89 & 23 & 22.3426 & 20.15 & 2.19259 & 0.657412 \tabularnewline
90 & 23.3 & 23.0702 & 20.2583 & 2.81186 & 0.229808 \tabularnewline
91 & 22.6 & 22.2534 & 20.4125 & 1.84091 & 0.34659 \tabularnewline
92 & 18.8 & 18.4822 & 20.6042 & -2.122 & 0.317829 \tabularnewline
93 & 18.8 & 18.5707 & 20.8 & -2.22929 & 0.229287 \tabularnewline
94 & 19.2 & 19.7603 & 20.9458 & -1.18554 & -0.560296 \tabularnewline
95 & 19.4 & 20.4822 & 21.0292 & -0.546996 & -1.08217 \tabularnewline
96 & 20.2 & 21.1108 & 21.0583 & 0.0524836 & -0.910817 \tabularnewline
97 & 20.5 & 21.0889 & 21.0875 & 0.00144194 & -0.588942 \tabularnewline
98 & 21.5 & 20.4561 & 21.1375 & -0.681371 & 1.04387 \tabularnewline
99 & 21.9 & 20.5139 & 21.2083 & -0.694391 & 1.38606 \tabularnewline
100 & 22.9 & 21.8603 & 21.3 & 0.560296 & 1.0397 \tabularnewline
101 & 23.5 & 23.5801 & 21.3875 & 2.19259 & -0.0800878 \tabularnewline
102 & 23.5 & 24.2452 & 21.4333 & 2.81186 & -0.745192 \tabularnewline
103 & 23.1 & 23.2909 & 21.45 & 1.84091 & -0.19091 \tabularnewline
104 & 19.5 & NA & NA & -2.122 & NA \tabularnewline
105 & 19.8 & NA & NA & -2.22929 & NA \tabularnewline
106 & 20.4 & NA & NA & -1.18554 & NA \tabularnewline
107 & 20.3 & NA & NA & -0.546996 & NA \tabularnewline
108 & 20.4 & NA & NA & 0.0524836 & NA \tabularnewline
109 & 20.7 & NA & NA & 0.00144194 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256432&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]26.6[/C][C]NA[/C][C]NA[/C][C]0.00144194[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]25[/C][C]NA[/C][C]NA[/C][C]-0.681371[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]24.2[/C][C]NA[/C][C]NA[/C][C]-0.694391[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]24.2[/C][C]NA[/C][C]NA[/C][C]0.560296[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]24.8[/C][C]NA[/C][C]NA[/C][C]2.19259[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]24.5[/C][C]NA[/C][C]NA[/C][C]2.81186[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]24.3[/C][C]25.6826[/C][C]23.8417[/C][C]1.84091[/C][C]-1.38258[/C][/ROW]
[ROW][C]8[/C][C]21.6[/C][C]21.4447[/C][C]23.5667[/C][C]-2.122[/C][C]0.155329[/C][/ROW]
[ROW][C]9[/C][C]22.4[/C][C]21.1082[/C][C]23.3375[/C][C]-2.22929[/C][C]1.29179[/C][/ROW]
[ROW][C]10[/C][C]23.5[/C][C]21.9645[/C][C]23.15[/C][C]-1.18554[/C][C]1.53554[/C][/ROW]
[ROW][C]11[/C][C]23.4[/C][C]22.4363[/C][C]22.9833[/C][C]-0.546996[/C][C]0.963662[/C][/ROW]
[ROW][C]12[/C][C]23.4[/C][C]22.8567[/C][C]22.8042[/C][C]0.0524836[/C][C]0.54335[/C][/ROW]
[ROW][C]13[/C][C]23[/C][C]22.5264[/C][C]22.525[/C][C]0.00144194[/C][C]0.473558[/C][/ROW]
[ROW][C]14[/C][C]22[/C][C]21.4311[/C][C]22.1125[/C][C]-0.681371[/C][C]0.568871[/C][/ROW]
[ROW][C]15[/C][C]21.7[/C][C]20.9139[/C][C]21.6083[/C][C]-0.694391[/C][C]0.786058[/C][/ROW]
[ROW][C]16[/C][C]22.2[/C][C]21.6145[/C][C]21.0542[/C][C]0.560296[/C][C]0.585537[/C][/ROW]
[ROW][C]17[/C][C]22.8[/C][C]22.7593[/C][C]20.5667[/C][C]2.19259[/C][C]0.0407456[/C][/ROW]
[ROW][C]18[/C][C]22.2[/C][C]22.9994[/C][C]20.1875[/C][C]2.81186[/C][C]-0.799359[/C][/ROW]
[ROW][C]19[/C][C]19.9[/C][C]21.6742[/C][C]19.8333[/C][C]1.84091[/C][C]-1.77424[/C][/ROW]
[ROW][C]20[/C][C]16.1[/C][C]17.278[/C][C]19.4[/C][C]-2.122[/C][C]-1.178[/C][/ROW]
[ROW][C]21[/C][C]15.8[/C][C]16.6832[/C][C]18.9125[/C][C]-2.22929[/C][C]-0.883213[/C][/ROW]
[ROW][C]22[/C][C]16.8[/C][C]17.3103[/C][C]18.4958[/C][C]-1.18554[/C][C]-0.510296[/C][/ROW]
[ROW][C]23[/C][C]18.4[/C][C]17.7447[/C][C]18.2917[/C][C]-0.546996[/C][C]0.655329[/C][/ROW]
[ROW][C]24[/C][C]19.3[/C][C]18.3942[/C][C]18.3417[/C][C]0.0524836[/C][C]0.90585[/C][/ROW]
[ROW][C]25[/C][C]18.6[/C][C]18.5389[/C][C]18.5375[/C][C]0.00144194[/C][C]0.0610581[/C][/ROW]
[ROW][C]26[/C][C]16[/C][C]18.0061[/C][C]18.6875[/C][C]-0.681371[/C][C]-2.00613[/C][/ROW]
[ROW][C]27[/C][C]16[/C][C]18.0264[/C][C]18.7208[/C][C]-0.694391[/C][C]-2.02644[/C][/ROW]
[ROW][C]28[/C][C]17.9[/C][C]19.2686[/C][C]18.7083[/C][C]0.560296[/C][C]-1.36863[/C][/ROW]
[ROW][C]29[/C][C]22.2[/C][C]20.8509[/C][C]18.6583[/C][C]2.19259[/C][C]1.34908[/C][/ROW]
[ROW][C]30[/C][C]24[/C][C]21.4119[/C][C]18.6[/C][C]2.81186[/C][C]2.58814[/C][/ROW]
[ROW][C]31[/C][C]22.8[/C][C]20.4701[/C][C]18.6292[/C][C]1.84091[/C][C]2.32992[/C][/ROW]
[ROW][C]32[/C][C]16.8[/C][C]16.753[/C][C]18.875[/C][C]-2.122[/C][C]0.0469956[/C][/ROW]
[ROW][C]33[/C][C]15.9[/C][C]17.054[/C][C]19.2833[/C][C]-2.22929[/C][C]-1.15405[/C][/ROW]
[ROW][C]34[/C][C]16.4[/C][C]18.477[/C][C]19.6625[/C][C]-1.18554[/C][C]-2.07696[/C][/ROW]
[ROW][C]35[/C][C]17.6[/C][C]19.2905[/C][C]19.8375[/C][C]-0.546996[/C][C]-1.6905[/C][/ROW]
[ROW][C]36[/C][C]18.7[/C][C]19.8442[/C][C]19.7917[/C][C]0.0524836[/C][C]-1.14415[/C][/ROW]
[ROW][C]37[/C][C]19.9[/C][C]19.7223[/C][C]19.7208[/C][C]0.00144194[/C][C]0.177725[/C][/ROW]
[ROW][C]38[/C][C]20.6[/C][C]19.152[/C][C]19.8333[/C][C]-0.681371[/C][C]1.44804[/C][/ROW]
[ROW][C]39[/C][C]21.2[/C][C]19.4639[/C][C]20.1583[/C][C]-0.694391[/C][C]1.73606[/C][/ROW]
[ROW][C]40[/C][C]21.8[/C][C]21.1853[/C][C]20.625[/C][C]0.560296[/C][C]0.614704[/C][/ROW]
[ROW][C]41[/C][C]22.5[/C][C]23.3634[/C][C]21.1708[/C][C]2.19259[/C][C]-0.863421[/C][/ROW]
[ROW][C]42[/C][C]22.6[/C][C]24.5327[/C][C]21.7208[/C][C]2.81186[/C][C]-1.93269[/C][/ROW]
[ROW][C]43[/C][C]22.5[/C][C]24.0409[/C][C]22.2[/C][C]1.84091[/C][C]-1.54091[/C][/ROW]
[ROW][C]44[/C][C]19.8[/C][C]20.4197[/C][C]22.5417[/C][C]-2.122[/C][C]-0.619671[/C][/ROW]
[ROW][C]45[/C][C]20.7[/C][C]20.4999[/C][C]22.7292[/C][C]-2.22929[/C][C]0.200121[/C][/ROW]
[ROW][C]46[/C][C]22.8[/C][C]21.6395[/C][C]22.825[/C][C]-1.18554[/C][C]1.16054[/C][/ROW]
[ROW][C]47[/C][C]24.3[/C][C]22.3863[/C][C]22.9333[/C][C]-0.546996[/C][C]1.91366[/C][/ROW]
[ROW][C]48[/C][C]25.2[/C][C]23.1233[/C][C]23.0708[/C][C]0.0524836[/C][C]2.07668[/C][/ROW]
[ROW][C]49[/C][C]24.9[/C][C]23.1806[/C][C]23.1792[/C][C]0.00144194[/C][C]1.71939[/C][/ROW]
[ROW][C]50[/C][C]23.8[/C][C]22.527[/C][C]23.2083[/C][C]-0.681371[/C][C]1.27304[/C][/ROW]
[ROW][C]51[/C][C]22.5[/C][C]22.4389[/C][C]23.1333[/C][C]-0.694391[/C][C]0.0610581[/C][/ROW]
[ROW][C]52[/C][C]22.8[/C][C]23.5353[/C][C]22.975[/C][C]0.560296[/C][C]-0.735296[/C][/ROW]
[ROW][C]53[/C][C]24.1[/C][C]24.9593[/C][C]22.7667[/C][C]2.19259[/C][C]-0.859254[/C][/ROW]
[ROW][C]54[/C][C]24.3[/C][C]25.2952[/C][C]22.4833[/C][C]2.81186[/C][C]-0.995192[/C][/ROW]
[ROW][C]55[/C][C]23.4[/C][C]23.9451[/C][C]22.1042[/C][C]1.84091[/C][C]-0.545076[/C][/ROW]
[ROW][C]56[/C][C]19.6[/C][C]19.4988[/C][C]21.6208[/C][C]-2.122[/C][C]0.101162[/C][/ROW]
[ROW][C]57[/C][C]19.1[/C][C]18.8749[/C][C]21.1042[/C][C]-2.22929[/C][C]0.225121[/C][/ROW]
[ROW][C]58[/C][C]20.6[/C][C]19.5353[/C][C]20.7208[/C][C]-1.18554[/C][C]1.0647[/C][/ROW]
[ROW][C]59[/C][C]21.5[/C][C]19.9572[/C][C]20.5042[/C][C]-0.546996[/C][C]1.54283[/C][/ROW]
[ROW][C]60[/C][C]21.2[/C][C]20.4525[/C][C]20.4[/C][C]0.0524836[/C][C]0.747516[/C][/ROW]
[ROW][C]61[/C][C]19.8[/C][C]20.3223[/C][C]20.3208[/C][C]0.00144194[/C][C]-0.522275[/C][/ROW]
[ROW][C]62[/C][C]17.3[/C][C]19.4061[/C][C]20.0875[/C][C]-0.681371[/C][C]-2.10613[/C][/ROW]
[ROW][C]63[/C][C]16.6[/C][C]18.9764[/C][C]19.6708[/C][C]-0.694391[/C][C]-2.37644[/C][/ROW]
[ROW][C]64[/C][C]19.5[/C][C]19.7311[/C][C]19.1708[/C][C]0.560296[/C][C]-0.231129[/C][/ROW]
[ROW][C]65[/C][C]22.2[/C][C]20.8426[/C][C]18.65[/C][C]2.19259[/C][C]1.35741[/C][/ROW]
[ROW][C]66[/C][C]23.7[/C][C]21.0202[/C][C]18.2083[/C][C]2.81186[/C][C]2.67981[/C][/ROW]
[ROW][C]67[/C][C]22.1[/C][C]19.7659[/C][C]17.925[/C][C]1.84091[/C][C]2.33409[/C][/ROW]
[ROW][C]68[/C][C]15.3[/C][C]15.6947[/C][C]17.8167[/C][C]-2.122[/C][C]-0.394671[/C][/ROW]
[ROW][C]69[/C][C]13.4[/C][C]15.5957[/C][C]17.825[/C][C]-2.22929[/C][C]-2.19571[/C][/ROW]
[ROW][C]70[/C][C]14.3[/C][C]16.5978[/C][C]17.7833[/C][C]-1.18554[/C][C]-2.2978[/C][/ROW]
[ROW][C]71[/C][C]15.3[/C][C]17.0488[/C][C]17.5958[/C][C]-0.546996[/C][C]-1.74884[/C][/ROW]
[ROW][C]72[/C][C]16.8[/C][C]17.3858[/C][C]17.3333[/C][C]0.0524836[/C][C]-0.585817[/C][/ROW]
[ROW][C]73[/C][C]17.4[/C][C]17.1598[/C][C]17.1583[/C][C]0.00144194[/C][C]0.240225[/C][/ROW]
[ROW][C]74[/C][C]17.1[/C][C]16.5645[/C][C]17.2458[/C][C]-0.681371[/C][C]0.535537[/C][/ROW]
[ROW][C]75[/C][C]17[/C][C]16.9223[/C][C]17.6167[/C][C]-0.694391[/C][C]0.0777247[/C][/ROW]
[ROW][C]76[/C][C]18.1[/C][C]18.652[/C][C]18.0917[/C][C]0.560296[/C][C]-0.551963[/C][/ROW]
[ROW][C]77[/C][C]19.1[/C][C]20.6551[/C][C]18.4625[/C][C]2.19259[/C][C]-1.55509[/C][/ROW]
[ROW][C]78[/C][C]20.5[/C][C]21.4785[/C][C]18.6667[/C][C]2.81186[/C][C]-0.978525[/C][/ROW]
[ROW][C]79[/C][C]21.1[/C][C]20.6242[/C][C]18.7833[/C][C]1.84091[/C][C]0.475757[/C][/ROW]
[ROW][C]80[/C][C]18.4[/C][C]16.7822[/C][C]18.9042[/C][C]-2.122[/C][C]1.61783[/C][/ROW]
[ROW][C]81[/C][C]19.2[/C][C]16.8665[/C][C]19.0958[/C][C]-2.22929[/C][C]2.33345[/C][/ROW]
[ROW][C]82[/C][C]19.9[/C][C]18.1686[/C][C]19.3542[/C][C]-1.18554[/C][C]1.73137[/C][/ROW]
[ROW][C]83[/C][C]18.6[/C][C]19.1072[/C][C]19.6542[/C][C]-0.546996[/C][C]-0.507171[/C][/ROW]
[ROW][C]84[/C][C]18.4[/C][C]19.9858[/C][C]19.9333[/C][C]0.0524836[/C][C]-1.58582[/C][/ROW]
[ROW][C]85[/C][C]18.6[/C][C]20.1139[/C][C]20.1125[/C][C]0.00144194[/C][C]-1.51394[/C][/ROW]
[ROW][C]86[/C][C]18.8[/C][C]19.5103[/C][C]20.1917[/C][C]-0.681371[/C][C]-0.710296[/C][/ROW]
[ROW][C]87[/C][C]19.9[/C][C]19.4973[/C][C]20.1917[/C][C]-0.694391[/C][C]0.402725[/C][/ROW]
[ROW][C]88[/C][C]21.4[/C][C]20.7061[/C][C]20.1458[/C][C]0.560296[/C][C]0.693871[/C][/ROW]
[ROW][C]89[/C][C]23[/C][C]22.3426[/C][C]20.15[/C][C]2.19259[/C][C]0.657412[/C][/ROW]
[ROW][C]90[/C][C]23.3[/C][C]23.0702[/C][C]20.2583[/C][C]2.81186[/C][C]0.229808[/C][/ROW]
[ROW][C]91[/C][C]22.6[/C][C]22.2534[/C][C]20.4125[/C][C]1.84091[/C][C]0.34659[/C][/ROW]
[ROW][C]92[/C][C]18.8[/C][C]18.4822[/C][C]20.6042[/C][C]-2.122[/C][C]0.317829[/C][/ROW]
[ROW][C]93[/C][C]18.8[/C][C]18.5707[/C][C]20.8[/C][C]-2.22929[/C][C]0.229287[/C][/ROW]
[ROW][C]94[/C][C]19.2[/C][C]19.7603[/C][C]20.9458[/C][C]-1.18554[/C][C]-0.560296[/C][/ROW]
[ROW][C]95[/C][C]19.4[/C][C]20.4822[/C][C]21.0292[/C][C]-0.546996[/C][C]-1.08217[/C][/ROW]
[ROW][C]96[/C][C]20.2[/C][C]21.1108[/C][C]21.0583[/C][C]0.0524836[/C][C]-0.910817[/C][/ROW]
[ROW][C]97[/C][C]20.5[/C][C]21.0889[/C][C]21.0875[/C][C]0.00144194[/C][C]-0.588942[/C][/ROW]
[ROW][C]98[/C][C]21.5[/C][C]20.4561[/C][C]21.1375[/C][C]-0.681371[/C][C]1.04387[/C][/ROW]
[ROW][C]99[/C][C]21.9[/C][C]20.5139[/C][C]21.2083[/C][C]-0.694391[/C][C]1.38606[/C][/ROW]
[ROW][C]100[/C][C]22.9[/C][C]21.8603[/C][C]21.3[/C][C]0.560296[/C][C]1.0397[/C][/ROW]
[ROW][C]101[/C][C]23.5[/C][C]23.5801[/C][C]21.3875[/C][C]2.19259[/C][C]-0.0800878[/C][/ROW]
[ROW][C]102[/C][C]23.5[/C][C]24.2452[/C][C]21.4333[/C][C]2.81186[/C][C]-0.745192[/C][/ROW]
[ROW][C]103[/C][C]23.1[/C][C]23.2909[/C][C]21.45[/C][C]1.84091[/C][C]-0.19091[/C][/ROW]
[ROW][C]104[/C][C]19.5[/C][C]NA[/C][C]NA[/C][C]-2.122[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]19.8[/C][C]NA[/C][C]NA[/C][C]-2.22929[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]20.4[/C][C]NA[/C][C]NA[/C][C]-1.18554[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]20.3[/C][C]NA[/C][C]NA[/C][C]-0.546996[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]20.4[/C][C]NA[/C][C]NA[/C][C]0.0524836[/C][C]NA[/C][/ROW]
[ROW][C]109[/C][C]20.7[/C][C]NA[/C][C]NA[/C][C]0.00144194[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256432&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256432&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	26.6	NA	NA	0.00144194	NA
2	25	NA	NA	-0.681371	NA
3	24.2	NA	NA	-0.694391	NA
4	24.2	NA	NA	0.560296	NA
5	24.8	NA	NA	2.19259	NA
6	24.5	NA	NA	2.81186	NA
7	24.3	25.6826	23.8417	1.84091	-1.38258
8	21.6	21.4447	23.5667	-2.122	0.155329
9	22.4	21.1082	23.3375	-2.22929	1.29179
10	23.5	21.9645	23.15	-1.18554	1.53554
11	23.4	22.4363	22.9833	-0.546996	0.963662
12	23.4	22.8567	22.8042	0.0524836	0.54335
13	23	22.5264	22.525	0.00144194	0.473558
14	22	21.4311	22.1125	-0.681371	0.568871
15	21.7	20.9139	21.6083	-0.694391	0.786058
16	22.2	21.6145	21.0542	0.560296	0.585537
17	22.8	22.7593	20.5667	2.19259	0.0407456
18	22.2	22.9994	20.1875	2.81186	-0.799359
19	19.9	21.6742	19.8333	1.84091	-1.77424
20	16.1	17.278	19.4	-2.122	-1.178
21	15.8	16.6832	18.9125	-2.22929	-0.883213
22	16.8	17.3103	18.4958	-1.18554	-0.510296
23	18.4	17.7447	18.2917	-0.546996	0.655329
24	19.3	18.3942	18.3417	0.0524836	0.90585
25	18.6	18.5389	18.5375	0.00144194	0.0610581
26	16	18.0061	18.6875	-0.681371	-2.00613
27	16	18.0264	18.7208	-0.694391	-2.02644
28	17.9	19.2686	18.7083	0.560296	-1.36863
29	22.2	20.8509	18.6583	2.19259	1.34908
30	24	21.4119	18.6	2.81186	2.58814
31	22.8	20.4701	18.6292	1.84091	2.32992
32	16.8	16.753	18.875	-2.122	0.0469956
33	15.9	17.054	19.2833	-2.22929	-1.15405
34	16.4	18.477	19.6625	-1.18554	-2.07696
35	17.6	19.2905	19.8375	-0.546996	-1.6905
36	18.7	19.8442	19.7917	0.0524836	-1.14415
37	19.9	19.7223	19.7208	0.00144194	0.177725
38	20.6	19.152	19.8333	-0.681371	1.44804
39	21.2	19.4639	20.1583	-0.694391	1.73606
40	21.8	21.1853	20.625	0.560296	0.614704
41	22.5	23.3634	21.1708	2.19259	-0.863421
42	22.6	24.5327	21.7208	2.81186	-1.93269
43	22.5	24.0409	22.2	1.84091	-1.54091
44	19.8	20.4197	22.5417	-2.122	-0.619671
45	20.7	20.4999	22.7292	-2.22929	0.200121
46	22.8	21.6395	22.825	-1.18554	1.16054
47	24.3	22.3863	22.9333	-0.546996	1.91366
48	25.2	23.1233	23.0708	0.0524836	2.07668
49	24.9	23.1806	23.1792	0.00144194	1.71939
50	23.8	22.527	23.2083	-0.681371	1.27304
51	22.5	22.4389	23.1333	-0.694391	0.0610581
52	22.8	23.5353	22.975	0.560296	-0.735296
53	24.1	24.9593	22.7667	2.19259	-0.859254
54	24.3	25.2952	22.4833	2.81186	-0.995192
55	23.4	23.9451	22.1042	1.84091	-0.545076
56	19.6	19.4988	21.6208	-2.122	0.101162
57	19.1	18.8749	21.1042	-2.22929	0.225121
58	20.6	19.5353	20.7208	-1.18554	1.0647
59	21.5	19.9572	20.5042	-0.546996	1.54283
60	21.2	20.4525	20.4	0.0524836	0.747516
61	19.8	20.3223	20.3208	0.00144194	-0.522275
62	17.3	19.4061	20.0875	-0.681371	-2.10613
63	16.6	18.9764	19.6708	-0.694391	-2.37644
64	19.5	19.7311	19.1708	0.560296	-0.231129
65	22.2	20.8426	18.65	2.19259	1.35741
66	23.7	21.0202	18.2083	2.81186	2.67981
67	22.1	19.7659	17.925	1.84091	2.33409
68	15.3	15.6947	17.8167	-2.122	-0.394671
69	13.4	15.5957	17.825	-2.22929	-2.19571
70	14.3	16.5978	17.7833	-1.18554	-2.2978
71	15.3	17.0488	17.5958	-0.546996	-1.74884
72	16.8	17.3858	17.3333	0.0524836	-0.585817
73	17.4	17.1598	17.1583	0.00144194	0.240225
74	17.1	16.5645	17.2458	-0.681371	0.535537
75	17	16.9223	17.6167	-0.694391	0.0777247
76	18.1	18.652	18.0917	0.560296	-0.551963
77	19.1	20.6551	18.4625	2.19259	-1.55509
78	20.5	21.4785	18.6667	2.81186	-0.978525
79	21.1	20.6242	18.7833	1.84091	0.475757
80	18.4	16.7822	18.9042	-2.122	1.61783
81	19.2	16.8665	19.0958	-2.22929	2.33345
82	19.9	18.1686	19.3542	-1.18554	1.73137
83	18.6	19.1072	19.6542	-0.546996	-0.507171
84	18.4	19.9858	19.9333	0.0524836	-1.58582
85	18.6	20.1139	20.1125	0.00144194	-1.51394
86	18.8	19.5103	20.1917	-0.681371	-0.710296
87	19.9	19.4973	20.1917	-0.694391	0.402725
88	21.4	20.7061	20.1458	0.560296	0.693871
89	23	22.3426	20.15	2.19259	0.657412
90	23.3	23.0702	20.2583	2.81186	0.229808
91	22.6	22.2534	20.4125	1.84091	0.34659
92	18.8	18.4822	20.6042	-2.122	0.317829
93	18.8	18.5707	20.8	-2.22929	0.229287
94	19.2	19.7603	20.9458	-1.18554	-0.560296
95	19.4	20.4822	21.0292	-0.546996	-1.08217
96	20.2	21.1108	21.0583	0.0524836	-0.910817
97	20.5	21.0889	21.0875	0.00144194	-0.588942
98	21.5	20.4561	21.1375	-0.681371	1.04387
99	21.9	20.5139	21.2083	-0.694391	1.38606
100	22.9	21.8603	21.3	0.560296	1.0397
101	23.5	23.5801	21.3875	2.19259	-0.0800878
102	23.5	24.2452	21.4333	2.81186	-0.745192
103	23.1	23.2909	21.45	1.84091	-0.19091
104	19.5	NA	NA	-2.122	NA
105	19.8	NA	NA	-2.22929	NA
106	20.4	NA	NA	-1.18554	NA
107	20.3	NA	NA	-0.546996	NA
108	20.4	NA	NA	0.0524836	NA
109	20.7	NA	NA	0.00144194	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