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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 30 Nov 2014 12:14:47 +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/30/t1417349703gc16ub1oms71fms.htm/, Retrieved Sun, 19 May 2024 13:08:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261375, Retrieved Sun, 19 May 2024 13:08:22 +0000

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

-       [Classical Decomposition] [] [2014-11-30 12:14:47] [deb17a426e61079f456ada9a85a82a78] [Current]

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Dataseries X:

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1,5
1,6
1,8
1,5
1,3
1,6
1,6
1,8
1,8
1,6
1,8
2
1,3
1,1
1
1,2
1,2
1,3
1,3
1,4
1,1
0,9
1
1,1
1,4
1,5
1,8
1,8
1,8
1,7
1,5
1,1
1,3
1,6
1,9
1,9
2
2,2
2,2
2
2,3
2,6
3,2
3,2
3,1
2,8
2,3
1,9
1,9
2
2
1,8
1,6
1,4
0,2
0,3
0,4
0,7
1
1,1
0,8
0,8
1
1,1
1
0,8
1,6
1,5
1,6
1,6
1,6
1,9
2
1,9
2
2,1
2,3
2,3
2,6
2,6
2,7
2,6
2,6
2,4
2,5
2,5
2,5
2,4
2,1
2,1
2,3
2,3
2,3
2,9
2,8
2,9
3
3
2,9
2,6
2,8
2,9
3,1
2,8
2,4
1,6
1,5
1,7

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261375&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261375&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	1.5	NA	NA	0.996917	NA
2	1.6	NA	NA	0.986769	NA
3	1.8	NA	NA	1.02819	NA
4	1.5	NA	NA	1.01995	NA
5	1.3	NA	NA	1.01553	NA
6	1.6	NA	NA	1.00335	NA
7	1.6	1.60034	1.65	0.969906	0.999784
8	1.8	1.54509	1.62083	0.953268	1.16498
9	1.8	1.48478	1.56667	0.947732	1.2123
10	1.6	1.48602	1.52083	0.977109	1.0767
11	1.8	1.55484	1.50417	1.03369	1.15767
12	2	1.58804	1.4875	1.06759	1.25941
13	1.3	1.45799	1.4625	0.996917	0.891638
14	1.1	1.41437	1.43333	0.986769	0.777732
15	1	1.42662	1.3875	1.02819	0.70096
16	1.2	1.35568	1.32917	1.01995	0.885166
17	1.2	1.28634	1.26667	1.01553	0.932882
18	1.3	1.19984	1.19583	1.00335	1.08348
19	1.3	1.12752	1.1625	0.969906	1.15298
20	1.4	1.12803	1.18333	0.953268	1.2411
21	1.1	1.16887	1.23333	0.947732	0.941081
22	0.9	1.2621	1.29167	0.977109	0.713097
23	1	1.38687	1.34167	1.03369	0.721048
24	1.1	1.47683	1.38333	1.06759	0.744838
25	1.4	1.40399	1.40833	0.996917	0.997157
26	1.5	1.38559	1.40417	0.986769	1.08257
27	1.8	1.43947	1.4	1.02819	1.25046
28	1.8	1.46617	1.4375	1.01995	1.22769
29	1.8	1.52752	1.50417	1.01553	1.17838
30	1.7	1.58028	1.575	1.00335	1.07576
31	1.5	1.58418	1.63333	0.969906	0.946862
32	1.1	1.60864	1.6875	0.953268	0.683807
33	1.3	1.64274	1.73333	0.947732	0.791363
34	1.6	1.71808	1.75833	0.977109	0.93127
35	1.9	1.84772	1.7875	1.03369	1.02829
36	1.9	1.97059	1.84583	1.06759	0.964177
37	2	1.94814	1.95417	0.996917	1.02662
38	2.2	2.08455	2.1125	0.986769	1.05538
39	2.2	2.33914	2.275	1.02819	0.940518
40	2	2.44787	2.4	1.01995	0.817037
41	2.3	2.50497	2.46667	1.01553	0.918175
42	2.6	2.49166	2.48333	1.00335	1.04348
43	3.2	2.40456	2.47917	0.969906	1.33081
44	3.2	2.35139	2.46667	0.953268	1.36089
45	3.1	2.32194	2.45	0.947732	1.33509
46	2.8	2.37763	2.43333	0.977109	1.17764
47	2.3	2.47655	2.39583	1.03369	0.92871
48	1.9	2.47325	2.31667	1.06759	0.76822
49	1.9	2.13506	2.14167	0.996917	0.889903
50	2	1.87075	1.89583	0.986769	1.06909
51	2	1.70937	1.6625	1.02819	1.17002
52	1.8	1.49167	1.4625	1.01995	1.2067
53	1.6	1.34134	1.32083	1.01553	1.19283
54	1.4	1.23747	1.23333	1.00335	1.13134
55	0.2	1.11943	1.15417	0.969906	0.178662
56	0.3	1.00888	1.05833	0.953268	0.297361
57	0.4	0.916141	0.966667	0.947732	0.436614
58	0.7	0.875327	0.895833	0.977109	0.799701
59	1	0.870024	0.841667	1.03369	1.14939
60	1.1	0.845175	0.791667	1.06759	1.30151
61	0.8	0.822456	0.825	0.996917	0.972696
62	0.8	0.920984	0.933333	0.986769	0.868636
63	1	1.06246	1.03333	1.02819	0.941208
64	1.1	1.14319	1.12083	1.01995	0.962221
65	1	1.20171	1.18333	1.01553	0.832149
66	0.8	1.24583	1.24167	1.00335	0.642142
67	1.6	1.28513	1.325	0.969906	1.24501
68	1.5	1.35444	1.42083	0.953268	1.10747
69	1.6	1.4295	1.50833	0.947732	1.11928
70	1.6	1.55523	1.59167	0.977109	1.02879
71	1.6	1.74435	1.6875	1.03369	0.917245
72	1.9	1.92611	1.80417	1.06759	0.986445
73	2	1.90245	1.90833	0.996917	1.05128
74	1.9	1.96943	1.99583	0.986769	0.964748
75	2	2.14635	2.0875	1.02819	0.931814
76	2.1	2.21838	2.175	1.01995	0.946636
77	2.3	2.2934	2.25833	1.01553	1.00288
78	2.3	2.32861	2.32083	1.00335	0.987712
79	2.6	2.2914	2.3625	0.969906	1.13468
80	2.6	2.29579	2.40833	0.953268	1.13251
81	2.7	2.32589	2.45417	0.947732	1.16085
82	2.6	2.43056	2.4875	0.977109	1.06971
83	2.6	2.57561	2.49167	1.03369	1.00947
84	2.4	2.64228	2.475	1.06759	0.908305
85	2.5	2.4466	2.45417	0.996917	1.02183
86	2.5	2.39703	2.42917	0.986769	1.04296
87	2.5	2.46766	2.4	1.02819	1.01311
88	2.4	2.44362	2.39583	1.01995	0.98215
89	2.1	2.45419	2.41667	1.01553	0.855678
90	2.1	2.45403	2.44583	1.00335	0.855734
91	2.3	2.41264	2.4875	0.969906	0.953312
92	2.3	2.41097	2.52917	0.953268	0.953971
93	2.3	2.43251	2.56667	0.947732	0.945525
94	2.9	2.53234	2.59167	0.977109	1.14519
95	2.8	2.71775	2.62917	1.03369	1.03026
96	2.9	2.87359	2.69167	1.06759	1.00919
97	3	2.74983	2.75833	0.996917	1.09098
98	3	2.77529	2.8125	0.986769	1.08097
99	2.9	2.91749	2.8375	1.02819	0.994004
100	2.6	2.8431	2.7875	1.01995	0.914495
101	2.8	2.72077	2.67917	1.01553	1.02912
102	2.9	2.58363	2.575	1.00335	1.12245
103	3.1	NA	NA	0.969906	NA
104	2.8	NA	NA	0.953268	NA
105	2.4	NA	NA	0.947732	NA
106	1.6	NA	NA	0.977109	NA
107	1.5	NA	NA	1.03369	NA
108	1.7	NA	NA	1.06759	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1.5 & NA & NA & 0.996917 & NA \tabularnewline
2 & 1.6 & NA & NA & 0.986769 & NA \tabularnewline
3 & 1.8 & NA & NA & 1.02819 & NA \tabularnewline
4 & 1.5 & NA & NA & 1.01995 & NA \tabularnewline
5 & 1.3 & NA & NA & 1.01553 & NA \tabularnewline
6 & 1.6 & NA & NA & 1.00335 & NA \tabularnewline
7 & 1.6 & 1.60034 & 1.65 & 0.969906 & 0.999784 \tabularnewline
8 & 1.8 & 1.54509 & 1.62083 & 0.953268 & 1.16498 \tabularnewline
9 & 1.8 & 1.48478 & 1.56667 & 0.947732 & 1.2123 \tabularnewline
10 & 1.6 & 1.48602 & 1.52083 & 0.977109 & 1.0767 \tabularnewline
11 & 1.8 & 1.55484 & 1.50417 & 1.03369 & 1.15767 \tabularnewline
12 & 2 & 1.58804 & 1.4875 & 1.06759 & 1.25941 \tabularnewline
13 & 1.3 & 1.45799 & 1.4625 & 0.996917 & 0.891638 \tabularnewline
14 & 1.1 & 1.41437 & 1.43333 & 0.986769 & 0.777732 \tabularnewline
15 & 1 & 1.42662 & 1.3875 & 1.02819 & 0.70096 \tabularnewline
16 & 1.2 & 1.35568 & 1.32917 & 1.01995 & 0.885166 \tabularnewline
17 & 1.2 & 1.28634 & 1.26667 & 1.01553 & 0.932882 \tabularnewline
18 & 1.3 & 1.19984 & 1.19583 & 1.00335 & 1.08348 \tabularnewline
19 & 1.3 & 1.12752 & 1.1625 & 0.969906 & 1.15298 \tabularnewline
20 & 1.4 & 1.12803 & 1.18333 & 0.953268 & 1.2411 \tabularnewline
21 & 1.1 & 1.16887 & 1.23333 & 0.947732 & 0.941081 \tabularnewline
22 & 0.9 & 1.2621 & 1.29167 & 0.977109 & 0.713097 \tabularnewline
23 & 1 & 1.38687 & 1.34167 & 1.03369 & 0.721048 \tabularnewline
24 & 1.1 & 1.47683 & 1.38333 & 1.06759 & 0.744838 \tabularnewline
25 & 1.4 & 1.40399 & 1.40833 & 0.996917 & 0.997157 \tabularnewline
26 & 1.5 & 1.38559 & 1.40417 & 0.986769 & 1.08257 \tabularnewline
27 & 1.8 & 1.43947 & 1.4 & 1.02819 & 1.25046 \tabularnewline
28 & 1.8 & 1.46617 & 1.4375 & 1.01995 & 1.22769 \tabularnewline
29 & 1.8 & 1.52752 & 1.50417 & 1.01553 & 1.17838 \tabularnewline
30 & 1.7 & 1.58028 & 1.575 & 1.00335 & 1.07576 \tabularnewline
31 & 1.5 & 1.58418 & 1.63333 & 0.969906 & 0.946862 \tabularnewline
32 & 1.1 & 1.60864 & 1.6875 & 0.953268 & 0.683807 \tabularnewline
33 & 1.3 & 1.64274 & 1.73333 & 0.947732 & 0.791363 \tabularnewline
34 & 1.6 & 1.71808 & 1.75833 & 0.977109 & 0.93127 \tabularnewline
35 & 1.9 & 1.84772 & 1.7875 & 1.03369 & 1.02829 \tabularnewline
36 & 1.9 & 1.97059 & 1.84583 & 1.06759 & 0.964177 \tabularnewline
37 & 2 & 1.94814 & 1.95417 & 0.996917 & 1.02662 \tabularnewline
38 & 2.2 & 2.08455 & 2.1125 & 0.986769 & 1.05538 \tabularnewline
39 & 2.2 & 2.33914 & 2.275 & 1.02819 & 0.940518 \tabularnewline
40 & 2 & 2.44787 & 2.4 & 1.01995 & 0.817037 \tabularnewline
41 & 2.3 & 2.50497 & 2.46667 & 1.01553 & 0.918175 \tabularnewline
42 & 2.6 & 2.49166 & 2.48333 & 1.00335 & 1.04348 \tabularnewline
43 & 3.2 & 2.40456 & 2.47917 & 0.969906 & 1.33081 \tabularnewline
44 & 3.2 & 2.35139 & 2.46667 & 0.953268 & 1.36089 \tabularnewline
45 & 3.1 & 2.32194 & 2.45 & 0.947732 & 1.33509 \tabularnewline
46 & 2.8 & 2.37763 & 2.43333 & 0.977109 & 1.17764 \tabularnewline
47 & 2.3 & 2.47655 & 2.39583 & 1.03369 & 0.92871 \tabularnewline
48 & 1.9 & 2.47325 & 2.31667 & 1.06759 & 0.76822 \tabularnewline
49 & 1.9 & 2.13506 & 2.14167 & 0.996917 & 0.889903 \tabularnewline
50 & 2 & 1.87075 & 1.89583 & 0.986769 & 1.06909 \tabularnewline
51 & 2 & 1.70937 & 1.6625 & 1.02819 & 1.17002 \tabularnewline
52 & 1.8 & 1.49167 & 1.4625 & 1.01995 & 1.2067 \tabularnewline
53 & 1.6 & 1.34134 & 1.32083 & 1.01553 & 1.19283 \tabularnewline
54 & 1.4 & 1.23747 & 1.23333 & 1.00335 & 1.13134 \tabularnewline
55 & 0.2 & 1.11943 & 1.15417 & 0.969906 & 0.178662 \tabularnewline
56 & 0.3 & 1.00888 & 1.05833 & 0.953268 & 0.297361 \tabularnewline
57 & 0.4 & 0.916141 & 0.966667 & 0.947732 & 0.436614 \tabularnewline
58 & 0.7 & 0.875327 & 0.895833 & 0.977109 & 0.799701 \tabularnewline
59 & 1 & 0.870024 & 0.841667 & 1.03369 & 1.14939 \tabularnewline
60 & 1.1 & 0.845175 & 0.791667 & 1.06759 & 1.30151 \tabularnewline
61 & 0.8 & 0.822456 & 0.825 & 0.996917 & 0.972696 \tabularnewline
62 & 0.8 & 0.920984 & 0.933333 & 0.986769 & 0.868636 \tabularnewline
63 & 1 & 1.06246 & 1.03333 & 1.02819 & 0.941208 \tabularnewline
64 & 1.1 & 1.14319 & 1.12083 & 1.01995 & 0.962221 \tabularnewline
65 & 1 & 1.20171 & 1.18333 & 1.01553 & 0.832149 \tabularnewline
66 & 0.8 & 1.24583 & 1.24167 & 1.00335 & 0.642142 \tabularnewline
67 & 1.6 & 1.28513 & 1.325 & 0.969906 & 1.24501 \tabularnewline
68 & 1.5 & 1.35444 & 1.42083 & 0.953268 & 1.10747 \tabularnewline
69 & 1.6 & 1.4295 & 1.50833 & 0.947732 & 1.11928 \tabularnewline
70 & 1.6 & 1.55523 & 1.59167 & 0.977109 & 1.02879 \tabularnewline
71 & 1.6 & 1.74435 & 1.6875 & 1.03369 & 0.917245 \tabularnewline
72 & 1.9 & 1.92611 & 1.80417 & 1.06759 & 0.986445 \tabularnewline
73 & 2 & 1.90245 & 1.90833 & 0.996917 & 1.05128 \tabularnewline
74 & 1.9 & 1.96943 & 1.99583 & 0.986769 & 0.964748 \tabularnewline
75 & 2 & 2.14635 & 2.0875 & 1.02819 & 0.931814 \tabularnewline
76 & 2.1 & 2.21838 & 2.175 & 1.01995 & 0.946636 \tabularnewline
77 & 2.3 & 2.2934 & 2.25833 & 1.01553 & 1.00288 \tabularnewline
78 & 2.3 & 2.32861 & 2.32083 & 1.00335 & 0.987712 \tabularnewline
79 & 2.6 & 2.2914 & 2.3625 & 0.969906 & 1.13468 \tabularnewline
80 & 2.6 & 2.29579 & 2.40833 & 0.953268 & 1.13251 \tabularnewline
81 & 2.7 & 2.32589 & 2.45417 & 0.947732 & 1.16085 \tabularnewline
82 & 2.6 & 2.43056 & 2.4875 & 0.977109 & 1.06971 \tabularnewline
83 & 2.6 & 2.57561 & 2.49167 & 1.03369 & 1.00947 \tabularnewline
84 & 2.4 & 2.64228 & 2.475 & 1.06759 & 0.908305 \tabularnewline
85 & 2.5 & 2.4466 & 2.45417 & 0.996917 & 1.02183 \tabularnewline
86 & 2.5 & 2.39703 & 2.42917 & 0.986769 & 1.04296 \tabularnewline
87 & 2.5 & 2.46766 & 2.4 & 1.02819 & 1.01311 \tabularnewline
88 & 2.4 & 2.44362 & 2.39583 & 1.01995 & 0.98215 \tabularnewline
89 & 2.1 & 2.45419 & 2.41667 & 1.01553 & 0.855678 \tabularnewline
90 & 2.1 & 2.45403 & 2.44583 & 1.00335 & 0.855734 \tabularnewline
91 & 2.3 & 2.41264 & 2.4875 & 0.969906 & 0.953312 \tabularnewline
92 & 2.3 & 2.41097 & 2.52917 & 0.953268 & 0.953971 \tabularnewline
93 & 2.3 & 2.43251 & 2.56667 & 0.947732 & 0.945525 \tabularnewline
94 & 2.9 & 2.53234 & 2.59167 & 0.977109 & 1.14519 \tabularnewline
95 & 2.8 & 2.71775 & 2.62917 & 1.03369 & 1.03026 \tabularnewline
96 & 2.9 & 2.87359 & 2.69167 & 1.06759 & 1.00919 \tabularnewline
97 & 3 & 2.74983 & 2.75833 & 0.996917 & 1.09098 \tabularnewline
98 & 3 & 2.77529 & 2.8125 & 0.986769 & 1.08097 \tabularnewline
99 & 2.9 & 2.91749 & 2.8375 & 1.02819 & 0.994004 \tabularnewline
100 & 2.6 & 2.8431 & 2.7875 & 1.01995 & 0.914495 \tabularnewline
101 & 2.8 & 2.72077 & 2.67917 & 1.01553 & 1.02912 \tabularnewline
102 & 2.9 & 2.58363 & 2.575 & 1.00335 & 1.12245 \tabularnewline
103 & 3.1 & NA & NA & 0.969906 & NA \tabularnewline
104 & 2.8 & NA & NA & 0.953268 & NA \tabularnewline
105 & 2.4 & NA & NA & 0.947732 & NA \tabularnewline
106 & 1.6 & NA & NA & 0.977109 & NA \tabularnewline
107 & 1.5 & NA & NA & 1.03369 & NA \tabularnewline
108 & 1.7 & NA & NA & 1.06759 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261375&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]1.5[/C][C]NA[/C][C]NA[/C][C]0.996917[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1.6[/C][C]NA[/C][C]NA[/C][C]0.986769[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1.8[/C][C]NA[/C][C]NA[/C][C]1.02819[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1.5[/C][C]NA[/C][C]NA[/C][C]1.01995[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1.3[/C][C]NA[/C][C]NA[/C][C]1.01553[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1.6[/C][C]NA[/C][C]NA[/C][C]1.00335[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1.6[/C][C]1.60034[/C][C]1.65[/C][C]0.969906[/C][C]0.999784[/C][/ROW]
[ROW][C]8[/C][C]1.8[/C][C]1.54509[/C][C]1.62083[/C][C]0.953268[/C][C]1.16498[/C][/ROW]
[ROW][C]9[/C][C]1.8[/C][C]1.48478[/C][C]1.56667[/C][C]0.947732[/C][C]1.2123[/C][/ROW]
[ROW][C]10[/C][C]1.6[/C][C]1.48602[/C][C]1.52083[/C][C]0.977109[/C][C]1.0767[/C][/ROW]
[ROW][C]11[/C][C]1.8[/C][C]1.55484[/C][C]1.50417[/C][C]1.03369[/C][C]1.15767[/C][/ROW]
[ROW][C]12[/C][C]2[/C][C]1.58804[/C][C]1.4875[/C][C]1.06759[/C][C]1.25941[/C][/ROW]
[ROW][C]13[/C][C]1.3[/C][C]1.45799[/C][C]1.4625[/C][C]0.996917[/C][C]0.891638[/C][/ROW]
[ROW][C]14[/C][C]1.1[/C][C]1.41437[/C][C]1.43333[/C][C]0.986769[/C][C]0.777732[/C][/ROW]
[ROW][C]15[/C][C]1[/C][C]1.42662[/C][C]1.3875[/C][C]1.02819[/C][C]0.70096[/C][/ROW]
[ROW][C]16[/C][C]1.2[/C][C]1.35568[/C][C]1.32917[/C][C]1.01995[/C][C]0.885166[/C][/ROW]
[ROW][C]17[/C][C]1.2[/C][C]1.28634[/C][C]1.26667[/C][C]1.01553[/C][C]0.932882[/C][/ROW]
[ROW][C]18[/C][C]1.3[/C][C]1.19984[/C][C]1.19583[/C][C]1.00335[/C][C]1.08348[/C][/ROW]
[ROW][C]19[/C][C]1.3[/C][C]1.12752[/C][C]1.1625[/C][C]0.969906[/C][C]1.15298[/C][/ROW]
[ROW][C]20[/C][C]1.4[/C][C]1.12803[/C][C]1.18333[/C][C]0.953268[/C][C]1.2411[/C][/ROW]
[ROW][C]21[/C][C]1.1[/C][C]1.16887[/C][C]1.23333[/C][C]0.947732[/C][C]0.941081[/C][/ROW]
[ROW][C]22[/C][C]0.9[/C][C]1.2621[/C][C]1.29167[/C][C]0.977109[/C][C]0.713097[/C][/ROW]
[ROW][C]23[/C][C]1[/C][C]1.38687[/C][C]1.34167[/C][C]1.03369[/C][C]0.721048[/C][/ROW]
[ROW][C]24[/C][C]1.1[/C][C]1.47683[/C][C]1.38333[/C][C]1.06759[/C][C]0.744838[/C][/ROW]
[ROW][C]25[/C][C]1.4[/C][C]1.40399[/C][C]1.40833[/C][C]0.996917[/C][C]0.997157[/C][/ROW]
[ROW][C]26[/C][C]1.5[/C][C]1.38559[/C][C]1.40417[/C][C]0.986769[/C][C]1.08257[/C][/ROW]
[ROW][C]27[/C][C]1.8[/C][C]1.43947[/C][C]1.4[/C][C]1.02819[/C][C]1.25046[/C][/ROW]
[ROW][C]28[/C][C]1.8[/C][C]1.46617[/C][C]1.4375[/C][C]1.01995[/C][C]1.22769[/C][/ROW]
[ROW][C]29[/C][C]1.8[/C][C]1.52752[/C][C]1.50417[/C][C]1.01553[/C][C]1.17838[/C][/ROW]
[ROW][C]30[/C][C]1.7[/C][C]1.58028[/C][C]1.575[/C][C]1.00335[/C][C]1.07576[/C][/ROW]
[ROW][C]31[/C][C]1.5[/C][C]1.58418[/C][C]1.63333[/C][C]0.969906[/C][C]0.946862[/C][/ROW]
[ROW][C]32[/C][C]1.1[/C][C]1.60864[/C][C]1.6875[/C][C]0.953268[/C][C]0.683807[/C][/ROW]
[ROW][C]33[/C][C]1.3[/C][C]1.64274[/C][C]1.73333[/C][C]0.947732[/C][C]0.791363[/C][/ROW]
[ROW][C]34[/C][C]1.6[/C][C]1.71808[/C][C]1.75833[/C][C]0.977109[/C][C]0.93127[/C][/ROW]
[ROW][C]35[/C][C]1.9[/C][C]1.84772[/C][C]1.7875[/C][C]1.03369[/C][C]1.02829[/C][/ROW]
[ROW][C]36[/C][C]1.9[/C][C]1.97059[/C][C]1.84583[/C][C]1.06759[/C][C]0.964177[/C][/ROW]
[ROW][C]37[/C][C]2[/C][C]1.94814[/C][C]1.95417[/C][C]0.996917[/C][C]1.02662[/C][/ROW]
[ROW][C]38[/C][C]2.2[/C][C]2.08455[/C][C]2.1125[/C][C]0.986769[/C][C]1.05538[/C][/ROW]
[ROW][C]39[/C][C]2.2[/C][C]2.33914[/C][C]2.275[/C][C]1.02819[/C][C]0.940518[/C][/ROW]
[ROW][C]40[/C][C]2[/C][C]2.44787[/C][C]2.4[/C][C]1.01995[/C][C]0.817037[/C][/ROW]
[ROW][C]41[/C][C]2.3[/C][C]2.50497[/C][C]2.46667[/C][C]1.01553[/C][C]0.918175[/C][/ROW]
[ROW][C]42[/C][C]2.6[/C][C]2.49166[/C][C]2.48333[/C][C]1.00335[/C][C]1.04348[/C][/ROW]
[ROW][C]43[/C][C]3.2[/C][C]2.40456[/C][C]2.47917[/C][C]0.969906[/C][C]1.33081[/C][/ROW]
[ROW][C]44[/C][C]3.2[/C][C]2.35139[/C][C]2.46667[/C][C]0.953268[/C][C]1.36089[/C][/ROW]
[ROW][C]45[/C][C]3.1[/C][C]2.32194[/C][C]2.45[/C][C]0.947732[/C][C]1.33509[/C][/ROW]
[ROW][C]46[/C][C]2.8[/C][C]2.37763[/C][C]2.43333[/C][C]0.977109[/C][C]1.17764[/C][/ROW]
[ROW][C]47[/C][C]2.3[/C][C]2.47655[/C][C]2.39583[/C][C]1.03369[/C][C]0.92871[/C][/ROW]
[ROW][C]48[/C][C]1.9[/C][C]2.47325[/C][C]2.31667[/C][C]1.06759[/C][C]0.76822[/C][/ROW]
[ROW][C]49[/C][C]1.9[/C][C]2.13506[/C][C]2.14167[/C][C]0.996917[/C][C]0.889903[/C][/ROW]
[ROW][C]50[/C][C]2[/C][C]1.87075[/C][C]1.89583[/C][C]0.986769[/C][C]1.06909[/C][/ROW]
[ROW][C]51[/C][C]2[/C][C]1.70937[/C][C]1.6625[/C][C]1.02819[/C][C]1.17002[/C][/ROW]
[ROW][C]52[/C][C]1.8[/C][C]1.49167[/C][C]1.4625[/C][C]1.01995[/C][C]1.2067[/C][/ROW]
[ROW][C]53[/C][C]1.6[/C][C]1.34134[/C][C]1.32083[/C][C]1.01553[/C][C]1.19283[/C][/ROW]
[ROW][C]54[/C][C]1.4[/C][C]1.23747[/C][C]1.23333[/C][C]1.00335[/C][C]1.13134[/C][/ROW]
[ROW][C]55[/C][C]0.2[/C][C]1.11943[/C][C]1.15417[/C][C]0.969906[/C][C]0.178662[/C][/ROW]
[ROW][C]56[/C][C]0.3[/C][C]1.00888[/C][C]1.05833[/C][C]0.953268[/C][C]0.297361[/C][/ROW]
[ROW][C]57[/C][C]0.4[/C][C]0.916141[/C][C]0.966667[/C][C]0.947732[/C][C]0.436614[/C][/ROW]
[ROW][C]58[/C][C]0.7[/C][C]0.875327[/C][C]0.895833[/C][C]0.977109[/C][C]0.799701[/C][/ROW]
[ROW][C]59[/C][C]1[/C][C]0.870024[/C][C]0.841667[/C][C]1.03369[/C][C]1.14939[/C][/ROW]
[ROW][C]60[/C][C]1.1[/C][C]0.845175[/C][C]0.791667[/C][C]1.06759[/C][C]1.30151[/C][/ROW]
[ROW][C]61[/C][C]0.8[/C][C]0.822456[/C][C]0.825[/C][C]0.996917[/C][C]0.972696[/C][/ROW]
[ROW][C]62[/C][C]0.8[/C][C]0.920984[/C][C]0.933333[/C][C]0.986769[/C][C]0.868636[/C][/ROW]
[ROW][C]63[/C][C]1[/C][C]1.06246[/C][C]1.03333[/C][C]1.02819[/C][C]0.941208[/C][/ROW]
[ROW][C]64[/C][C]1.1[/C][C]1.14319[/C][C]1.12083[/C][C]1.01995[/C][C]0.962221[/C][/ROW]
[ROW][C]65[/C][C]1[/C][C]1.20171[/C][C]1.18333[/C][C]1.01553[/C][C]0.832149[/C][/ROW]
[ROW][C]66[/C][C]0.8[/C][C]1.24583[/C][C]1.24167[/C][C]1.00335[/C][C]0.642142[/C][/ROW]
[ROW][C]67[/C][C]1.6[/C][C]1.28513[/C][C]1.325[/C][C]0.969906[/C][C]1.24501[/C][/ROW]
[ROW][C]68[/C][C]1.5[/C][C]1.35444[/C][C]1.42083[/C][C]0.953268[/C][C]1.10747[/C][/ROW]
[ROW][C]69[/C][C]1.6[/C][C]1.4295[/C][C]1.50833[/C][C]0.947732[/C][C]1.11928[/C][/ROW]
[ROW][C]70[/C][C]1.6[/C][C]1.55523[/C][C]1.59167[/C][C]0.977109[/C][C]1.02879[/C][/ROW]
[ROW][C]71[/C][C]1.6[/C][C]1.74435[/C][C]1.6875[/C][C]1.03369[/C][C]0.917245[/C][/ROW]
[ROW][C]72[/C][C]1.9[/C][C]1.92611[/C][C]1.80417[/C][C]1.06759[/C][C]0.986445[/C][/ROW]
[ROW][C]73[/C][C]2[/C][C]1.90245[/C][C]1.90833[/C][C]0.996917[/C][C]1.05128[/C][/ROW]
[ROW][C]74[/C][C]1.9[/C][C]1.96943[/C][C]1.99583[/C][C]0.986769[/C][C]0.964748[/C][/ROW]
[ROW][C]75[/C][C]2[/C][C]2.14635[/C][C]2.0875[/C][C]1.02819[/C][C]0.931814[/C][/ROW]
[ROW][C]76[/C][C]2.1[/C][C]2.21838[/C][C]2.175[/C][C]1.01995[/C][C]0.946636[/C][/ROW]
[ROW][C]77[/C][C]2.3[/C][C]2.2934[/C][C]2.25833[/C][C]1.01553[/C][C]1.00288[/C][/ROW]
[ROW][C]78[/C][C]2.3[/C][C]2.32861[/C][C]2.32083[/C][C]1.00335[/C][C]0.987712[/C][/ROW]
[ROW][C]79[/C][C]2.6[/C][C]2.2914[/C][C]2.3625[/C][C]0.969906[/C][C]1.13468[/C][/ROW]
[ROW][C]80[/C][C]2.6[/C][C]2.29579[/C][C]2.40833[/C][C]0.953268[/C][C]1.13251[/C][/ROW]
[ROW][C]81[/C][C]2.7[/C][C]2.32589[/C][C]2.45417[/C][C]0.947732[/C][C]1.16085[/C][/ROW]
[ROW][C]82[/C][C]2.6[/C][C]2.43056[/C][C]2.4875[/C][C]0.977109[/C][C]1.06971[/C][/ROW]
[ROW][C]83[/C][C]2.6[/C][C]2.57561[/C][C]2.49167[/C][C]1.03369[/C][C]1.00947[/C][/ROW]
[ROW][C]84[/C][C]2.4[/C][C]2.64228[/C][C]2.475[/C][C]1.06759[/C][C]0.908305[/C][/ROW]
[ROW][C]85[/C][C]2.5[/C][C]2.4466[/C][C]2.45417[/C][C]0.996917[/C][C]1.02183[/C][/ROW]
[ROW][C]86[/C][C]2.5[/C][C]2.39703[/C][C]2.42917[/C][C]0.986769[/C][C]1.04296[/C][/ROW]
[ROW][C]87[/C][C]2.5[/C][C]2.46766[/C][C]2.4[/C][C]1.02819[/C][C]1.01311[/C][/ROW]
[ROW][C]88[/C][C]2.4[/C][C]2.44362[/C][C]2.39583[/C][C]1.01995[/C][C]0.98215[/C][/ROW]
[ROW][C]89[/C][C]2.1[/C][C]2.45419[/C][C]2.41667[/C][C]1.01553[/C][C]0.855678[/C][/ROW]
[ROW][C]90[/C][C]2.1[/C][C]2.45403[/C][C]2.44583[/C][C]1.00335[/C][C]0.855734[/C][/ROW]
[ROW][C]91[/C][C]2.3[/C][C]2.41264[/C][C]2.4875[/C][C]0.969906[/C][C]0.953312[/C][/ROW]
[ROW][C]92[/C][C]2.3[/C][C]2.41097[/C][C]2.52917[/C][C]0.953268[/C][C]0.953971[/C][/ROW]
[ROW][C]93[/C][C]2.3[/C][C]2.43251[/C][C]2.56667[/C][C]0.947732[/C][C]0.945525[/C][/ROW]
[ROW][C]94[/C][C]2.9[/C][C]2.53234[/C][C]2.59167[/C][C]0.977109[/C][C]1.14519[/C][/ROW]
[ROW][C]95[/C][C]2.8[/C][C]2.71775[/C][C]2.62917[/C][C]1.03369[/C][C]1.03026[/C][/ROW]
[ROW][C]96[/C][C]2.9[/C][C]2.87359[/C][C]2.69167[/C][C]1.06759[/C][C]1.00919[/C][/ROW]
[ROW][C]97[/C][C]3[/C][C]2.74983[/C][C]2.75833[/C][C]0.996917[/C][C]1.09098[/C][/ROW]
[ROW][C]98[/C][C]3[/C][C]2.77529[/C][C]2.8125[/C][C]0.986769[/C][C]1.08097[/C][/ROW]
[ROW][C]99[/C][C]2.9[/C][C]2.91749[/C][C]2.8375[/C][C]1.02819[/C][C]0.994004[/C][/ROW]
[ROW][C]100[/C][C]2.6[/C][C]2.8431[/C][C]2.7875[/C][C]1.01995[/C][C]0.914495[/C][/ROW]
[ROW][C]101[/C][C]2.8[/C][C]2.72077[/C][C]2.67917[/C][C]1.01553[/C][C]1.02912[/C][/ROW]
[ROW][C]102[/C][C]2.9[/C][C]2.58363[/C][C]2.575[/C][C]1.00335[/C][C]1.12245[/C][/ROW]
[ROW][C]103[/C][C]3.1[/C][C]NA[/C][C]NA[/C][C]0.969906[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]2.8[/C][C]NA[/C][C]NA[/C][C]0.953268[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]2.4[/C][C]NA[/C][C]NA[/C][C]0.947732[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]1.6[/C][C]NA[/C][C]NA[/C][C]0.977109[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]1.5[/C][C]NA[/C][C]NA[/C][C]1.03369[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]1.7[/C][C]NA[/C][C]NA[/C][C]1.06759[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261375&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	1.5	NA	NA	0.996917	NA
2	1.6	NA	NA	0.986769	NA
3	1.8	NA	NA	1.02819	NA
4	1.5	NA	NA	1.01995	NA
5	1.3	NA	NA	1.01553	NA
6	1.6	NA	NA	1.00335	NA
7	1.6	1.60034	1.65	0.969906	0.999784
8	1.8	1.54509	1.62083	0.953268	1.16498
9	1.8	1.48478	1.56667	0.947732	1.2123
10	1.6	1.48602	1.52083	0.977109	1.0767
11	1.8	1.55484	1.50417	1.03369	1.15767
12	2	1.58804	1.4875	1.06759	1.25941
13	1.3	1.45799	1.4625	0.996917	0.891638
14	1.1	1.41437	1.43333	0.986769	0.777732
15	1	1.42662	1.3875	1.02819	0.70096
16	1.2	1.35568	1.32917	1.01995	0.885166
17	1.2	1.28634	1.26667	1.01553	0.932882
18	1.3	1.19984	1.19583	1.00335	1.08348
19	1.3	1.12752	1.1625	0.969906	1.15298
20	1.4	1.12803	1.18333	0.953268	1.2411
21	1.1	1.16887	1.23333	0.947732	0.941081
22	0.9	1.2621	1.29167	0.977109	0.713097
23	1	1.38687	1.34167	1.03369	0.721048
24	1.1	1.47683	1.38333	1.06759	0.744838
25	1.4	1.40399	1.40833	0.996917	0.997157
26	1.5	1.38559	1.40417	0.986769	1.08257
27	1.8	1.43947	1.4	1.02819	1.25046
28	1.8	1.46617	1.4375	1.01995	1.22769
29	1.8	1.52752	1.50417	1.01553	1.17838
30	1.7	1.58028	1.575	1.00335	1.07576
31	1.5	1.58418	1.63333	0.969906	0.946862
32	1.1	1.60864	1.6875	0.953268	0.683807
33	1.3	1.64274	1.73333	0.947732	0.791363
34	1.6	1.71808	1.75833	0.977109	0.93127
35	1.9	1.84772	1.7875	1.03369	1.02829
36	1.9	1.97059	1.84583	1.06759	0.964177
37	2	1.94814	1.95417	0.996917	1.02662
38	2.2	2.08455	2.1125	0.986769	1.05538
39	2.2	2.33914	2.275	1.02819	0.940518
40	2	2.44787	2.4	1.01995	0.817037
41	2.3	2.50497	2.46667	1.01553	0.918175
42	2.6	2.49166	2.48333	1.00335	1.04348
43	3.2	2.40456	2.47917	0.969906	1.33081
44	3.2	2.35139	2.46667	0.953268	1.36089
45	3.1	2.32194	2.45	0.947732	1.33509
46	2.8	2.37763	2.43333	0.977109	1.17764
47	2.3	2.47655	2.39583	1.03369	0.92871
48	1.9	2.47325	2.31667	1.06759	0.76822
49	1.9	2.13506	2.14167	0.996917	0.889903
50	2	1.87075	1.89583	0.986769	1.06909
51	2	1.70937	1.6625	1.02819	1.17002
52	1.8	1.49167	1.4625	1.01995	1.2067
53	1.6	1.34134	1.32083	1.01553	1.19283
54	1.4	1.23747	1.23333	1.00335	1.13134
55	0.2	1.11943	1.15417	0.969906	0.178662
56	0.3	1.00888	1.05833	0.953268	0.297361
57	0.4	0.916141	0.966667	0.947732	0.436614
58	0.7	0.875327	0.895833	0.977109	0.799701
59	1	0.870024	0.841667	1.03369	1.14939
60	1.1	0.845175	0.791667	1.06759	1.30151
61	0.8	0.822456	0.825	0.996917	0.972696
62	0.8	0.920984	0.933333	0.986769	0.868636
63	1	1.06246	1.03333	1.02819	0.941208
64	1.1	1.14319	1.12083	1.01995	0.962221
65	1	1.20171	1.18333	1.01553	0.832149
66	0.8	1.24583	1.24167	1.00335	0.642142
67	1.6	1.28513	1.325	0.969906	1.24501
68	1.5	1.35444	1.42083	0.953268	1.10747
69	1.6	1.4295	1.50833	0.947732	1.11928
70	1.6	1.55523	1.59167	0.977109	1.02879
71	1.6	1.74435	1.6875	1.03369	0.917245
72	1.9	1.92611	1.80417	1.06759	0.986445
73	2	1.90245	1.90833	0.996917	1.05128
74	1.9	1.96943	1.99583	0.986769	0.964748
75	2	2.14635	2.0875	1.02819	0.931814
76	2.1	2.21838	2.175	1.01995	0.946636
77	2.3	2.2934	2.25833	1.01553	1.00288
78	2.3	2.32861	2.32083	1.00335	0.987712
79	2.6	2.2914	2.3625	0.969906	1.13468
80	2.6	2.29579	2.40833	0.953268	1.13251
81	2.7	2.32589	2.45417	0.947732	1.16085
82	2.6	2.43056	2.4875	0.977109	1.06971
83	2.6	2.57561	2.49167	1.03369	1.00947
84	2.4	2.64228	2.475	1.06759	0.908305
85	2.5	2.4466	2.45417	0.996917	1.02183
86	2.5	2.39703	2.42917	0.986769	1.04296
87	2.5	2.46766	2.4	1.02819	1.01311
88	2.4	2.44362	2.39583	1.01995	0.98215
89	2.1	2.45419	2.41667	1.01553	0.855678
90	2.1	2.45403	2.44583	1.00335	0.855734
91	2.3	2.41264	2.4875	0.969906	0.953312
92	2.3	2.41097	2.52917	0.953268	0.953971
93	2.3	2.43251	2.56667	0.947732	0.945525
94	2.9	2.53234	2.59167	0.977109	1.14519
95	2.8	2.71775	2.62917	1.03369	1.03026
96	2.9	2.87359	2.69167	1.06759	1.00919
97	3	2.74983	2.75833	0.996917	1.09098
98	3	2.77529	2.8125	0.986769	1.08097
99	2.9	2.91749	2.8375	1.02819	0.994004
100	2.6	2.8431	2.7875	1.01995	0.914495
101	2.8	2.72077	2.67917	1.01553	1.02912
102	2.9	2.58363	2.575	1.00335	1.12245
103	3.1	NA	NA	0.969906	NA
104	2.8	NA	NA	0.953268	NA
105	2.4	NA	NA	0.947732	NA
106	1.6	NA	NA	0.977109	NA
107	1.5	NA	NA	1.03369	NA
108	1.7	NA	NA	1.06759	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 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; 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