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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 26 Nov 2015 11:19:32 +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/2015/Nov/26/t14485369679zckrpx2z5ystex.htm/, Retrieved Tue, 14 May 2024 00:31:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284192, Retrieved Tue, 14 May 2024 00:31:22 +0000

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114

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-       [Classical Decomposition] [] [2015-11-26 11:19:32] [663b8bcb3523d59827bca0af0b37f04c] [Current]

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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	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284192&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284192&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284192&T=0

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

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

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	91.99	NA	NA	-0.085803	NA
2	92.17	NA	NA	-0.120699	NA
3	92.19	NA	NA	-0.13773	NA
4	92.24	NA	NA	-0.140907	NA
5	92.19	NA	NA	-0.168563	NA
6	92.21	NA	NA	-0.244553	NA
7	92.22	92.183	92.4446	-0.261584	0.0370009
8	92.14	92.215	92.5292	-0.314188	-0.0749783
9	92.43	92.5522	92.6108	-0.0586155	-0.122218
10	92.93	93.1797	92.7054	0.474249	-0.249666
11	93.01	93.3585	92.8112	0.54727	-0.34852
12	93.07	93.4303	92.9192	0.511124	-0.360291
13	93.08	92.9417	93.0275	-0.085803	0.138303
14	93.11	93.0172	93.1379	-0.120699	0.0927821
15	93.21	93.1119	93.2496	-0.13773	0.0981467
16	93.49	93.2191	93.36	-0.140907	0.270907
17	93.48	93.3052	93.4738	-0.168563	0.174813
18	93.51	93.3454	93.59	-0.244553	0.164553
19	93.52	93.443	93.7046	-0.261584	0.0770009
20	93.49	93.5066	93.8208	-0.314188	-0.016645
21	93.76	93.8868	93.9454	-0.0586155	-0.126801
22	94.25	94.5501	94.0758	0.474249	-0.300082
23	94.42	94.7602	94.2129	0.54727	-0.340187
24	94.45	94.8678	94.3567	0.511124	-0.417791
25	94.45	94.4138	94.4996	-0.085803	0.0362196
26	94.53	94.5272	94.6479	-0.120699	0.00278212
27	94.78	94.6777	94.8154	-0.13773	0.102313
28	95.05	94.8691	95.01	-0.140907	0.180907
29	95.21	95.0594	95.2279	-0.168563	0.150647
30	95.23	95.2121	95.4567	-0.244553	0.0178863
31	95.23	95.4251	95.6867	-0.261584	-0.195082
32	95.34	95.605	95.9192	-0.314188	-0.264978
33	95.93	96.0889	96.1475	-0.0586155	-0.158885
34	96.75	96.828	96.3538	0.474249	-0.0779991
35	97.15	97.0894	96.5421	0.54727	0.0606467
36	97.21	97.2378	96.7267	0.511124	-0.0277908
37	97.21	96.8242	96.91	-0.085803	0.385803
38	97.35	96.9697	97.0904	-0.120699	0.380282
39	97.44	97.1148	97.2525	-0.13773	0.32523
40	97.34	97.2595	97.4004	-0.140907	0.0804905
41	97.44	97.3685	97.5371	-0.168563	0.07148
42	97.43	97.4175	97.6621	-0.244553	0.0124696
43	97.43	97.5263	97.7879	-0.261584	-0.0963325
44	97.47	97.5941	97.9083	-0.314188	-0.124145
45	97.69	97.9589	98.0175	-0.0586155	-0.268885
46	98.54	98.6022	98.1279	0.474249	-0.0621658
47	98.64	98.7877	98.2404	0.54727	-0.147687
48	98.72	98.8599	98.3488	0.511124	-0.139874
49	98.72	98.3725	98.4583	-0.085803	0.34747
50	98.73	98.4501	98.5708	-0.120699	0.279865
51	98.68	98.551	98.6888	-0.13773	0.12898
52	98.75	98.662	98.8029	-0.140907	0.0879905
53	98.73	98.7419	98.9104	-0.168563	-0.0118533
54	98.74	98.7729	99.0175	-0.244553	-0.032947
55	98.75	98.8626	99.1242	-0.261584	-0.112582
56	98.85	98.9196	99.2337	-0.314188	-0.0695616
57	99.14	99.2968	99.3554	-0.0586155	-0.156801
58	99.83	99.9638	99.4896	0.474249	-0.133832
59	99.93	100.172	99.625	0.54727	-0.24227
60	100	100.267	99.7562	0.511124	-0.267374
61	100	99.7992	99.885	-0.085803	0.200803
62	100.08	99.8897	100.01	-0.120699	0.190282
63	100.25	100.004	100.142	-0.13773	0.246063
64	100.4	100.137	100.278	-0.140907	0.26299
65	100.33	100.239	100.408	-0.168563	0.0906467
66	100.29	100.292	100.536	-0.244553	-0.00169705
67	100.29	100.404	100.666	-0.261584	-0.114249
68	100.32	100.478	100.792	-0.314188	-0.158312
69	100.82	100.852	100.91	-0.0586155	-0.0318012
70	101.42	101.493	101.019	0.474249	-0.0734158
71	101.46	101.681	101.134	0.54727	-0.22102
72	101.55	101.776	101.265	0.511124	-0.225707
73	101.56	101.317	101.402	-0.085803	0.243303
74	101.56	101.418	101.539	-0.120699	0.141949
75	101.6	101.528	101.666	-0.13773	0.0718967
76	101.66	101.636	101.777	-0.140907	0.0238238
77	101.82	101.72	101.888	-0.168563	0.10023
78	101.94	101.762	102.006	-0.244553	0.178303
79	101.95	101.702	101.963	-0.261584	0.248251
80	101.93	101.449	101.763	-0.314188	0.480855
81	102.26	101.507	101.565	-0.0586155	0.753199
82	102.65	101.843	101.369	0.474249	0.806584
83	102.9	101.721	101.173	0.54727	1.1794
84	102.94	101.484	100.973	0.511124	1.45554
85	99.14	100.703	100.788	-0.085803	-1.56253
86	99.18	100.509	100.63	-0.120699	-1.3293
87	99.23	100.341	100.479	-0.13773	-1.11102
88	99.32	100.197	100.338	-0.140907	-0.876593
89	99.46	100.036	100.205	-0.168563	-0.57602
90	99.5	99.8234	100.068	-0.244553	-0.323364
91	99.95	99.8167	100.078	-0.261584	0.133251
92	100.13	99.925	100.239	-0.314188	0.205022
93	100.43	100.341	100.399	-0.0586155	0.0894488
94	101.09	101.022	100.548	0.474249	0.0678342
95	101.27	101.233	100.686	0.54727	0.0368967
96	101.29	101.329	100.818	0.511124	-0.0394575
97	101.04	100.852	100.938	-0.085803	0.187886
98	101.14	100.921	101.042	-0.120699	0.218615
99	101.11	100.994	101.132	-0.13773	0.115647
100	101.01	101.063	101.204	-0.140907	-0.0532595
101	101.08	101.103	101.271	-0.168563	-0.0226866
102	101.06	101.098	101.342	-0.244553	-0.037947
103	101.26	NA	NA	-0.261584	NA
104	101.32	NA	NA	-0.314188	NA
105	101.4	NA	NA	-0.0586155	NA
106	101.85	NA	NA	0.474249	NA
107	102.12	NA	NA	0.54727	NA
108	102.15	NA	NA	0.511124	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 91.99 & NA & NA & -0.085803 & NA \tabularnewline
2 & 92.17 & NA & NA & -0.120699 & NA \tabularnewline
3 & 92.19 & NA & NA & -0.13773 & NA \tabularnewline
4 & 92.24 & NA & NA & -0.140907 & NA \tabularnewline
5 & 92.19 & NA & NA & -0.168563 & NA \tabularnewline
6 & 92.21 & NA & NA & -0.244553 & NA \tabularnewline
7 & 92.22 & 92.183 & 92.4446 & -0.261584 & 0.0370009 \tabularnewline
8 & 92.14 & 92.215 & 92.5292 & -0.314188 & -0.0749783 \tabularnewline
9 & 92.43 & 92.5522 & 92.6108 & -0.0586155 & -0.122218 \tabularnewline
10 & 92.93 & 93.1797 & 92.7054 & 0.474249 & -0.249666 \tabularnewline
11 & 93.01 & 93.3585 & 92.8112 & 0.54727 & -0.34852 \tabularnewline
12 & 93.07 & 93.4303 & 92.9192 & 0.511124 & -0.360291 \tabularnewline
13 & 93.08 & 92.9417 & 93.0275 & -0.085803 & 0.138303 \tabularnewline
14 & 93.11 & 93.0172 & 93.1379 & -0.120699 & 0.0927821 \tabularnewline
15 & 93.21 & 93.1119 & 93.2496 & -0.13773 & 0.0981467 \tabularnewline
16 & 93.49 & 93.2191 & 93.36 & -0.140907 & 0.270907 \tabularnewline
17 & 93.48 & 93.3052 & 93.4738 & -0.168563 & 0.174813 \tabularnewline
18 & 93.51 & 93.3454 & 93.59 & -0.244553 & 0.164553 \tabularnewline
19 & 93.52 & 93.443 & 93.7046 & -0.261584 & 0.0770009 \tabularnewline
20 & 93.49 & 93.5066 & 93.8208 & -0.314188 & -0.016645 \tabularnewline
21 & 93.76 & 93.8868 & 93.9454 & -0.0586155 & -0.126801 \tabularnewline
22 & 94.25 & 94.5501 & 94.0758 & 0.474249 & -0.300082 \tabularnewline
23 & 94.42 & 94.7602 & 94.2129 & 0.54727 & -0.340187 \tabularnewline
24 & 94.45 & 94.8678 & 94.3567 & 0.511124 & -0.417791 \tabularnewline
25 & 94.45 & 94.4138 & 94.4996 & -0.085803 & 0.0362196 \tabularnewline
26 & 94.53 & 94.5272 & 94.6479 & -0.120699 & 0.00278212 \tabularnewline
27 & 94.78 & 94.6777 & 94.8154 & -0.13773 & 0.102313 \tabularnewline
28 & 95.05 & 94.8691 & 95.01 & -0.140907 & 0.180907 \tabularnewline
29 & 95.21 & 95.0594 & 95.2279 & -0.168563 & 0.150647 \tabularnewline
30 & 95.23 & 95.2121 & 95.4567 & -0.244553 & 0.0178863 \tabularnewline
31 & 95.23 & 95.4251 & 95.6867 & -0.261584 & -0.195082 \tabularnewline
32 & 95.34 & 95.605 & 95.9192 & -0.314188 & -0.264978 \tabularnewline
33 & 95.93 & 96.0889 & 96.1475 & -0.0586155 & -0.158885 \tabularnewline
34 & 96.75 & 96.828 & 96.3538 & 0.474249 & -0.0779991 \tabularnewline
35 & 97.15 & 97.0894 & 96.5421 & 0.54727 & 0.0606467 \tabularnewline
36 & 97.21 & 97.2378 & 96.7267 & 0.511124 & -0.0277908 \tabularnewline
37 & 97.21 & 96.8242 & 96.91 & -0.085803 & 0.385803 \tabularnewline
38 & 97.35 & 96.9697 & 97.0904 & -0.120699 & 0.380282 \tabularnewline
39 & 97.44 & 97.1148 & 97.2525 & -0.13773 & 0.32523 \tabularnewline
40 & 97.34 & 97.2595 & 97.4004 & -0.140907 & 0.0804905 \tabularnewline
41 & 97.44 & 97.3685 & 97.5371 & -0.168563 & 0.07148 \tabularnewline
42 & 97.43 & 97.4175 & 97.6621 & -0.244553 & 0.0124696 \tabularnewline
43 & 97.43 & 97.5263 & 97.7879 & -0.261584 & -0.0963325 \tabularnewline
44 & 97.47 & 97.5941 & 97.9083 & -0.314188 & -0.124145 \tabularnewline
45 & 97.69 & 97.9589 & 98.0175 & -0.0586155 & -0.268885 \tabularnewline
46 & 98.54 & 98.6022 & 98.1279 & 0.474249 & -0.0621658 \tabularnewline
47 & 98.64 & 98.7877 & 98.2404 & 0.54727 & -0.147687 \tabularnewline
48 & 98.72 & 98.8599 & 98.3488 & 0.511124 & -0.139874 \tabularnewline
49 & 98.72 & 98.3725 & 98.4583 & -0.085803 & 0.34747 \tabularnewline
50 & 98.73 & 98.4501 & 98.5708 & -0.120699 & 0.279865 \tabularnewline
51 & 98.68 & 98.551 & 98.6888 & -0.13773 & 0.12898 \tabularnewline
52 & 98.75 & 98.662 & 98.8029 & -0.140907 & 0.0879905 \tabularnewline
53 & 98.73 & 98.7419 & 98.9104 & -0.168563 & -0.0118533 \tabularnewline
54 & 98.74 & 98.7729 & 99.0175 & -0.244553 & -0.032947 \tabularnewline
55 & 98.75 & 98.8626 & 99.1242 & -0.261584 & -0.112582 \tabularnewline
56 & 98.85 & 98.9196 & 99.2337 & -0.314188 & -0.0695616 \tabularnewline
57 & 99.14 & 99.2968 & 99.3554 & -0.0586155 & -0.156801 \tabularnewline
58 & 99.83 & 99.9638 & 99.4896 & 0.474249 & -0.133832 \tabularnewline
59 & 99.93 & 100.172 & 99.625 & 0.54727 & -0.24227 \tabularnewline
60 & 100 & 100.267 & 99.7562 & 0.511124 & -0.267374 \tabularnewline
61 & 100 & 99.7992 & 99.885 & -0.085803 & 0.200803 \tabularnewline
62 & 100.08 & 99.8897 & 100.01 & -0.120699 & 0.190282 \tabularnewline
63 & 100.25 & 100.004 & 100.142 & -0.13773 & 0.246063 \tabularnewline
64 & 100.4 & 100.137 & 100.278 & -0.140907 & 0.26299 \tabularnewline
65 & 100.33 & 100.239 & 100.408 & -0.168563 & 0.0906467 \tabularnewline
66 & 100.29 & 100.292 & 100.536 & -0.244553 & -0.00169705 \tabularnewline
67 & 100.29 & 100.404 & 100.666 & -0.261584 & -0.114249 \tabularnewline
68 & 100.32 & 100.478 & 100.792 & -0.314188 & -0.158312 \tabularnewline
69 & 100.82 & 100.852 & 100.91 & -0.0586155 & -0.0318012 \tabularnewline
70 & 101.42 & 101.493 & 101.019 & 0.474249 & -0.0734158 \tabularnewline
71 & 101.46 & 101.681 & 101.134 & 0.54727 & -0.22102 \tabularnewline
72 & 101.55 & 101.776 & 101.265 & 0.511124 & -0.225707 \tabularnewline
73 & 101.56 & 101.317 & 101.402 & -0.085803 & 0.243303 \tabularnewline
74 & 101.56 & 101.418 & 101.539 & -0.120699 & 0.141949 \tabularnewline
75 & 101.6 & 101.528 & 101.666 & -0.13773 & 0.0718967 \tabularnewline
76 & 101.66 & 101.636 & 101.777 & -0.140907 & 0.0238238 \tabularnewline
77 & 101.82 & 101.72 & 101.888 & -0.168563 & 0.10023 \tabularnewline
78 & 101.94 & 101.762 & 102.006 & -0.244553 & 0.178303 \tabularnewline
79 & 101.95 & 101.702 & 101.963 & -0.261584 & 0.248251 \tabularnewline
80 & 101.93 & 101.449 & 101.763 & -0.314188 & 0.480855 \tabularnewline
81 & 102.26 & 101.507 & 101.565 & -0.0586155 & 0.753199 \tabularnewline
82 & 102.65 & 101.843 & 101.369 & 0.474249 & 0.806584 \tabularnewline
83 & 102.9 & 101.721 & 101.173 & 0.54727 & 1.1794 \tabularnewline
84 & 102.94 & 101.484 & 100.973 & 0.511124 & 1.45554 \tabularnewline
85 & 99.14 & 100.703 & 100.788 & -0.085803 & -1.56253 \tabularnewline
86 & 99.18 & 100.509 & 100.63 & -0.120699 & -1.3293 \tabularnewline
87 & 99.23 & 100.341 & 100.479 & -0.13773 & -1.11102 \tabularnewline
88 & 99.32 & 100.197 & 100.338 & -0.140907 & -0.876593 \tabularnewline
89 & 99.46 & 100.036 & 100.205 & -0.168563 & -0.57602 \tabularnewline
90 & 99.5 & 99.8234 & 100.068 & -0.244553 & -0.323364 \tabularnewline
91 & 99.95 & 99.8167 & 100.078 & -0.261584 & 0.133251 \tabularnewline
92 & 100.13 & 99.925 & 100.239 & -0.314188 & 0.205022 \tabularnewline
93 & 100.43 & 100.341 & 100.399 & -0.0586155 & 0.0894488 \tabularnewline
94 & 101.09 & 101.022 & 100.548 & 0.474249 & 0.0678342 \tabularnewline
95 & 101.27 & 101.233 & 100.686 & 0.54727 & 0.0368967 \tabularnewline
96 & 101.29 & 101.329 & 100.818 & 0.511124 & -0.0394575 \tabularnewline
97 & 101.04 & 100.852 & 100.938 & -0.085803 & 0.187886 \tabularnewline
98 & 101.14 & 100.921 & 101.042 & -0.120699 & 0.218615 \tabularnewline
99 & 101.11 & 100.994 & 101.132 & -0.13773 & 0.115647 \tabularnewline
100 & 101.01 & 101.063 & 101.204 & -0.140907 & -0.0532595 \tabularnewline
101 & 101.08 & 101.103 & 101.271 & -0.168563 & -0.0226866 \tabularnewline
102 & 101.06 & 101.098 & 101.342 & -0.244553 & -0.037947 \tabularnewline
103 & 101.26 & NA & NA & -0.261584 & NA \tabularnewline
104 & 101.32 & NA & NA & -0.314188 & NA \tabularnewline
105 & 101.4 & NA & NA & -0.0586155 & NA \tabularnewline
106 & 101.85 & NA & NA & 0.474249 & NA \tabularnewline
107 & 102.12 & NA & NA & 0.54727 & NA \tabularnewline
108 & 102.15 & NA & NA & 0.511124 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284192&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]91.99[/C][C]NA[/C][C]NA[/C][C]-0.085803[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]92.17[/C][C]NA[/C][C]NA[/C][C]-0.120699[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]92.19[/C][C]NA[/C][C]NA[/C][C]-0.13773[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]92.24[/C][C]NA[/C][C]NA[/C][C]-0.140907[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]92.19[/C][C]NA[/C][C]NA[/C][C]-0.168563[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]92.21[/C][C]NA[/C][C]NA[/C][C]-0.244553[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]92.22[/C][C]92.183[/C][C]92.4446[/C][C]-0.261584[/C][C]0.0370009[/C][/ROW]
[ROW][C]8[/C][C]92.14[/C][C]92.215[/C][C]92.5292[/C][C]-0.314188[/C][C]-0.0749783[/C][/ROW]
[ROW][C]9[/C][C]92.43[/C][C]92.5522[/C][C]92.6108[/C][C]-0.0586155[/C][C]-0.122218[/C][/ROW]
[ROW][C]10[/C][C]92.93[/C][C]93.1797[/C][C]92.7054[/C][C]0.474249[/C][C]-0.249666[/C][/ROW]
[ROW][C]11[/C][C]93.01[/C][C]93.3585[/C][C]92.8112[/C][C]0.54727[/C][C]-0.34852[/C][/ROW]
[ROW][C]12[/C][C]93.07[/C][C]93.4303[/C][C]92.9192[/C][C]0.511124[/C][C]-0.360291[/C][/ROW]
[ROW][C]13[/C][C]93.08[/C][C]92.9417[/C][C]93.0275[/C][C]-0.085803[/C][C]0.138303[/C][/ROW]
[ROW][C]14[/C][C]93.11[/C][C]93.0172[/C][C]93.1379[/C][C]-0.120699[/C][C]0.0927821[/C][/ROW]
[ROW][C]15[/C][C]93.21[/C][C]93.1119[/C][C]93.2496[/C][C]-0.13773[/C][C]0.0981467[/C][/ROW]
[ROW][C]16[/C][C]93.49[/C][C]93.2191[/C][C]93.36[/C][C]-0.140907[/C][C]0.270907[/C][/ROW]
[ROW][C]17[/C][C]93.48[/C][C]93.3052[/C][C]93.4738[/C][C]-0.168563[/C][C]0.174813[/C][/ROW]
[ROW][C]18[/C][C]93.51[/C][C]93.3454[/C][C]93.59[/C][C]-0.244553[/C][C]0.164553[/C][/ROW]
[ROW][C]19[/C][C]93.52[/C][C]93.443[/C][C]93.7046[/C][C]-0.261584[/C][C]0.0770009[/C][/ROW]
[ROW][C]20[/C][C]93.49[/C][C]93.5066[/C][C]93.8208[/C][C]-0.314188[/C][C]-0.016645[/C][/ROW]
[ROW][C]21[/C][C]93.76[/C][C]93.8868[/C][C]93.9454[/C][C]-0.0586155[/C][C]-0.126801[/C][/ROW]
[ROW][C]22[/C][C]94.25[/C][C]94.5501[/C][C]94.0758[/C][C]0.474249[/C][C]-0.300082[/C][/ROW]
[ROW][C]23[/C][C]94.42[/C][C]94.7602[/C][C]94.2129[/C][C]0.54727[/C][C]-0.340187[/C][/ROW]
[ROW][C]24[/C][C]94.45[/C][C]94.8678[/C][C]94.3567[/C][C]0.511124[/C][C]-0.417791[/C][/ROW]
[ROW][C]25[/C][C]94.45[/C][C]94.4138[/C][C]94.4996[/C][C]-0.085803[/C][C]0.0362196[/C][/ROW]
[ROW][C]26[/C][C]94.53[/C][C]94.5272[/C][C]94.6479[/C][C]-0.120699[/C][C]0.00278212[/C][/ROW]
[ROW][C]27[/C][C]94.78[/C][C]94.6777[/C][C]94.8154[/C][C]-0.13773[/C][C]0.102313[/C][/ROW]
[ROW][C]28[/C][C]95.05[/C][C]94.8691[/C][C]95.01[/C][C]-0.140907[/C][C]0.180907[/C][/ROW]
[ROW][C]29[/C][C]95.21[/C][C]95.0594[/C][C]95.2279[/C][C]-0.168563[/C][C]0.150647[/C][/ROW]
[ROW][C]30[/C][C]95.23[/C][C]95.2121[/C][C]95.4567[/C][C]-0.244553[/C][C]0.0178863[/C][/ROW]
[ROW][C]31[/C][C]95.23[/C][C]95.4251[/C][C]95.6867[/C][C]-0.261584[/C][C]-0.195082[/C][/ROW]
[ROW][C]32[/C][C]95.34[/C][C]95.605[/C][C]95.9192[/C][C]-0.314188[/C][C]-0.264978[/C][/ROW]
[ROW][C]33[/C][C]95.93[/C][C]96.0889[/C][C]96.1475[/C][C]-0.0586155[/C][C]-0.158885[/C][/ROW]
[ROW][C]34[/C][C]96.75[/C][C]96.828[/C][C]96.3538[/C][C]0.474249[/C][C]-0.0779991[/C][/ROW]
[ROW][C]35[/C][C]97.15[/C][C]97.0894[/C][C]96.5421[/C][C]0.54727[/C][C]0.0606467[/C][/ROW]
[ROW][C]36[/C][C]97.21[/C][C]97.2378[/C][C]96.7267[/C][C]0.511124[/C][C]-0.0277908[/C][/ROW]
[ROW][C]37[/C][C]97.21[/C][C]96.8242[/C][C]96.91[/C][C]-0.085803[/C][C]0.385803[/C][/ROW]
[ROW][C]38[/C][C]97.35[/C][C]96.9697[/C][C]97.0904[/C][C]-0.120699[/C][C]0.380282[/C][/ROW]
[ROW][C]39[/C][C]97.44[/C][C]97.1148[/C][C]97.2525[/C][C]-0.13773[/C][C]0.32523[/C][/ROW]
[ROW][C]40[/C][C]97.34[/C][C]97.2595[/C][C]97.4004[/C][C]-0.140907[/C][C]0.0804905[/C][/ROW]
[ROW][C]41[/C][C]97.44[/C][C]97.3685[/C][C]97.5371[/C][C]-0.168563[/C][C]0.07148[/C][/ROW]
[ROW][C]42[/C][C]97.43[/C][C]97.4175[/C][C]97.6621[/C][C]-0.244553[/C][C]0.0124696[/C][/ROW]
[ROW][C]43[/C][C]97.43[/C][C]97.5263[/C][C]97.7879[/C][C]-0.261584[/C][C]-0.0963325[/C][/ROW]
[ROW][C]44[/C][C]97.47[/C][C]97.5941[/C][C]97.9083[/C][C]-0.314188[/C][C]-0.124145[/C][/ROW]
[ROW][C]45[/C][C]97.69[/C][C]97.9589[/C][C]98.0175[/C][C]-0.0586155[/C][C]-0.268885[/C][/ROW]
[ROW][C]46[/C][C]98.54[/C][C]98.6022[/C][C]98.1279[/C][C]0.474249[/C][C]-0.0621658[/C][/ROW]
[ROW][C]47[/C][C]98.64[/C][C]98.7877[/C][C]98.2404[/C][C]0.54727[/C][C]-0.147687[/C][/ROW]
[ROW][C]48[/C][C]98.72[/C][C]98.8599[/C][C]98.3488[/C][C]0.511124[/C][C]-0.139874[/C][/ROW]
[ROW][C]49[/C][C]98.72[/C][C]98.3725[/C][C]98.4583[/C][C]-0.085803[/C][C]0.34747[/C][/ROW]
[ROW][C]50[/C][C]98.73[/C][C]98.4501[/C][C]98.5708[/C][C]-0.120699[/C][C]0.279865[/C][/ROW]
[ROW][C]51[/C][C]98.68[/C][C]98.551[/C][C]98.6888[/C][C]-0.13773[/C][C]0.12898[/C][/ROW]
[ROW][C]52[/C][C]98.75[/C][C]98.662[/C][C]98.8029[/C][C]-0.140907[/C][C]0.0879905[/C][/ROW]
[ROW][C]53[/C][C]98.73[/C][C]98.7419[/C][C]98.9104[/C][C]-0.168563[/C][C]-0.0118533[/C][/ROW]
[ROW][C]54[/C][C]98.74[/C][C]98.7729[/C][C]99.0175[/C][C]-0.244553[/C][C]-0.032947[/C][/ROW]
[ROW][C]55[/C][C]98.75[/C][C]98.8626[/C][C]99.1242[/C][C]-0.261584[/C][C]-0.112582[/C][/ROW]
[ROW][C]56[/C][C]98.85[/C][C]98.9196[/C][C]99.2337[/C][C]-0.314188[/C][C]-0.0695616[/C][/ROW]
[ROW][C]57[/C][C]99.14[/C][C]99.2968[/C][C]99.3554[/C][C]-0.0586155[/C][C]-0.156801[/C][/ROW]
[ROW][C]58[/C][C]99.83[/C][C]99.9638[/C][C]99.4896[/C][C]0.474249[/C][C]-0.133832[/C][/ROW]
[ROW][C]59[/C][C]99.93[/C][C]100.172[/C][C]99.625[/C][C]0.54727[/C][C]-0.24227[/C][/ROW]
[ROW][C]60[/C][C]100[/C][C]100.267[/C][C]99.7562[/C][C]0.511124[/C][C]-0.267374[/C][/ROW]
[ROW][C]61[/C][C]100[/C][C]99.7992[/C][C]99.885[/C][C]-0.085803[/C][C]0.200803[/C][/ROW]
[ROW][C]62[/C][C]100.08[/C][C]99.8897[/C][C]100.01[/C][C]-0.120699[/C][C]0.190282[/C][/ROW]
[ROW][C]63[/C][C]100.25[/C][C]100.004[/C][C]100.142[/C][C]-0.13773[/C][C]0.246063[/C][/ROW]
[ROW][C]64[/C][C]100.4[/C][C]100.137[/C][C]100.278[/C][C]-0.140907[/C][C]0.26299[/C][/ROW]
[ROW][C]65[/C][C]100.33[/C][C]100.239[/C][C]100.408[/C][C]-0.168563[/C][C]0.0906467[/C][/ROW]
[ROW][C]66[/C][C]100.29[/C][C]100.292[/C][C]100.536[/C][C]-0.244553[/C][C]-0.00169705[/C][/ROW]
[ROW][C]67[/C][C]100.29[/C][C]100.404[/C][C]100.666[/C][C]-0.261584[/C][C]-0.114249[/C][/ROW]
[ROW][C]68[/C][C]100.32[/C][C]100.478[/C][C]100.792[/C][C]-0.314188[/C][C]-0.158312[/C][/ROW]
[ROW][C]69[/C][C]100.82[/C][C]100.852[/C][C]100.91[/C][C]-0.0586155[/C][C]-0.0318012[/C][/ROW]
[ROW][C]70[/C][C]101.42[/C][C]101.493[/C][C]101.019[/C][C]0.474249[/C][C]-0.0734158[/C][/ROW]
[ROW][C]71[/C][C]101.46[/C][C]101.681[/C][C]101.134[/C][C]0.54727[/C][C]-0.22102[/C][/ROW]
[ROW][C]72[/C][C]101.55[/C][C]101.776[/C][C]101.265[/C][C]0.511124[/C][C]-0.225707[/C][/ROW]
[ROW][C]73[/C][C]101.56[/C][C]101.317[/C][C]101.402[/C][C]-0.085803[/C][C]0.243303[/C][/ROW]
[ROW][C]74[/C][C]101.56[/C][C]101.418[/C][C]101.539[/C][C]-0.120699[/C][C]0.141949[/C][/ROW]
[ROW][C]75[/C][C]101.6[/C][C]101.528[/C][C]101.666[/C][C]-0.13773[/C][C]0.0718967[/C][/ROW]
[ROW][C]76[/C][C]101.66[/C][C]101.636[/C][C]101.777[/C][C]-0.140907[/C][C]0.0238238[/C][/ROW]
[ROW][C]77[/C][C]101.82[/C][C]101.72[/C][C]101.888[/C][C]-0.168563[/C][C]0.10023[/C][/ROW]
[ROW][C]78[/C][C]101.94[/C][C]101.762[/C][C]102.006[/C][C]-0.244553[/C][C]0.178303[/C][/ROW]
[ROW][C]79[/C][C]101.95[/C][C]101.702[/C][C]101.963[/C][C]-0.261584[/C][C]0.248251[/C][/ROW]
[ROW][C]80[/C][C]101.93[/C][C]101.449[/C][C]101.763[/C][C]-0.314188[/C][C]0.480855[/C][/ROW]
[ROW][C]81[/C][C]102.26[/C][C]101.507[/C][C]101.565[/C][C]-0.0586155[/C][C]0.753199[/C][/ROW]
[ROW][C]82[/C][C]102.65[/C][C]101.843[/C][C]101.369[/C][C]0.474249[/C][C]0.806584[/C][/ROW]
[ROW][C]83[/C][C]102.9[/C][C]101.721[/C][C]101.173[/C][C]0.54727[/C][C]1.1794[/C][/ROW]
[ROW][C]84[/C][C]102.94[/C][C]101.484[/C][C]100.973[/C][C]0.511124[/C][C]1.45554[/C][/ROW]
[ROW][C]85[/C][C]99.14[/C][C]100.703[/C][C]100.788[/C][C]-0.085803[/C][C]-1.56253[/C][/ROW]
[ROW][C]86[/C][C]99.18[/C][C]100.509[/C][C]100.63[/C][C]-0.120699[/C][C]-1.3293[/C][/ROW]
[ROW][C]87[/C][C]99.23[/C][C]100.341[/C][C]100.479[/C][C]-0.13773[/C][C]-1.11102[/C][/ROW]
[ROW][C]88[/C][C]99.32[/C][C]100.197[/C][C]100.338[/C][C]-0.140907[/C][C]-0.876593[/C][/ROW]
[ROW][C]89[/C][C]99.46[/C][C]100.036[/C][C]100.205[/C][C]-0.168563[/C][C]-0.57602[/C][/ROW]
[ROW][C]90[/C][C]99.5[/C][C]99.8234[/C][C]100.068[/C][C]-0.244553[/C][C]-0.323364[/C][/ROW]
[ROW][C]91[/C][C]99.95[/C][C]99.8167[/C][C]100.078[/C][C]-0.261584[/C][C]0.133251[/C][/ROW]
[ROW][C]92[/C][C]100.13[/C][C]99.925[/C][C]100.239[/C][C]-0.314188[/C][C]0.205022[/C][/ROW]
[ROW][C]93[/C][C]100.43[/C][C]100.341[/C][C]100.399[/C][C]-0.0586155[/C][C]0.0894488[/C][/ROW]
[ROW][C]94[/C][C]101.09[/C][C]101.022[/C][C]100.548[/C][C]0.474249[/C][C]0.0678342[/C][/ROW]
[ROW][C]95[/C][C]101.27[/C][C]101.233[/C][C]100.686[/C][C]0.54727[/C][C]0.0368967[/C][/ROW]
[ROW][C]96[/C][C]101.29[/C][C]101.329[/C][C]100.818[/C][C]0.511124[/C][C]-0.0394575[/C][/ROW]
[ROW][C]97[/C][C]101.04[/C][C]100.852[/C][C]100.938[/C][C]-0.085803[/C][C]0.187886[/C][/ROW]
[ROW][C]98[/C][C]101.14[/C][C]100.921[/C][C]101.042[/C][C]-0.120699[/C][C]0.218615[/C][/ROW]
[ROW][C]99[/C][C]101.11[/C][C]100.994[/C][C]101.132[/C][C]-0.13773[/C][C]0.115647[/C][/ROW]
[ROW][C]100[/C][C]101.01[/C][C]101.063[/C][C]101.204[/C][C]-0.140907[/C][C]-0.0532595[/C][/ROW]
[ROW][C]101[/C][C]101.08[/C][C]101.103[/C][C]101.271[/C][C]-0.168563[/C][C]-0.0226866[/C][/ROW]
[ROW][C]102[/C][C]101.06[/C][C]101.098[/C][C]101.342[/C][C]-0.244553[/C][C]-0.037947[/C][/ROW]
[ROW][C]103[/C][C]101.26[/C][C]NA[/C][C]NA[/C][C]-0.261584[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.32[/C][C]NA[/C][C]NA[/C][C]-0.314188[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.4[/C][C]NA[/C][C]NA[/C][C]-0.0586155[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.85[/C][C]NA[/C][C]NA[/C][C]0.474249[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]102.12[/C][C]NA[/C][C]NA[/C][C]0.54727[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]102.15[/C][C]NA[/C][C]NA[/C][C]0.511124[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284192&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284192&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	91.99	NA	NA	-0.085803	NA
2	92.17	NA	NA	-0.120699	NA
3	92.19	NA	NA	-0.13773	NA
4	92.24	NA	NA	-0.140907	NA
5	92.19	NA	NA	-0.168563	NA
6	92.21	NA	NA	-0.244553	NA
7	92.22	92.183	92.4446	-0.261584	0.0370009
8	92.14	92.215	92.5292	-0.314188	-0.0749783
9	92.43	92.5522	92.6108	-0.0586155	-0.122218
10	92.93	93.1797	92.7054	0.474249	-0.249666
11	93.01	93.3585	92.8112	0.54727	-0.34852
12	93.07	93.4303	92.9192	0.511124	-0.360291
13	93.08	92.9417	93.0275	-0.085803	0.138303
14	93.11	93.0172	93.1379	-0.120699	0.0927821
15	93.21	93.1119	93.2496	-0.13773	0.0981467
16	93.49	93.2191	93.36	-0.140907	0.270907
17	93.48	93.3052	93.4738	-0.168563	0.174813
18	93.51	93.3454	93.59	-0.244553	0.164553
19	93.52	93.443	93.7046	-0.261584	0.0770009
20	93.49	93.5066	93.8208	-0.314188	-0.016645
21	93.76	93.8868	93.9454	-0.0586155	-0.126801
22	94.25	94.5501	94.0758	0.474249	-0.300082
23	94.42	94.7602	94.2129	0.54727	-0.340187
24	94.45	94.8678	94.3567	0.511124	-0.417791
25	94.45	94.4138	94.4996	-0.085803	0.0362196
26	94.53	94.5272	94.6479	-0.120699	0.00278212
27	94.78	94.6777	94.8154	-0.13773	0.102313
28	95.05	94.8691	95.01	-0.140907	0.180907
29	95.21	95.0594	95.2279	-0.168563	0.150647
30	95.23	95.2121	95.4567	-0.244553	0.0178863
31	95.23	95.4251	95.6867	-0.261584	-0.195082
32	95.34	95.605	95.9192	-0.314188	-0.264978
33	95.93	96.0889	96.1475	-0.0586155	-0.158885
34	96.75	96.828	96.3538	0.474249	-0.0779991
35	97.15	97.0894	96.5421	0.54727	0.0606467
36	97.21	97.2378	96.7267	0.511124	-0.0277908
37	97.21	96.8242	96.91	-0.085803	0.385803
38	97.35	96.9697	97.0904	-0.120699	0.380282
39	97.44	97.1148	97.2525	-0.13773	0.32523
40	97.34	97.2595	97.4004	-0.140907	0.0804905
41	97.44	97.3685	97.5371	-0.168563	0.07148
42	97.43	97.4175	97.6621	-0.244553	0.0124696
43	97.43	97.5263	97.7879	-0.261584	-0.0963325
44	97.47	97.5941	97.9083	-0.314188	-0.124145
45	97.69	97.9589	98.0175	-0.0586155	-0.268885
46	98.54	98.6022	98.1279	0.474249	-0.0621658
47	98.64	98.7877	98.2404	0.54727	-0.147687
48	98.72	98.8599	98.3488	0.511124	-0.139874
49	98.72	98.3725	98.4583	-0.085803	0.34747
50	98.73	98.4501	98.5708	-0.120699	0.279865
51	98.68	98.551	98.6888	-0.13773	0.12898
52	98.75	98.662	98.8029	-0.140907	0.0879905
53	98.73	98.7419	98.9104	-0.168563	-0.0118533
54	98.74	98.7729	99.0175	-0.244553	-0.032947
55	98.75	98.8626	99.1242	-0.261584	-0.112582
56	98.85	98.9196	99.2337	-0.314188	-0.0695616
57	99.14	99.2968	99.3554	-0.0586155	-0.156801
58	99.83	99.9638	99.4896	0.474249	-0.133832
59	99.93	100.172	99.625	0.54727	-0.24227
60	100	100.267	99.7562	0.511124	-0.267374
61	100	99.7992	99.885	-0.085803	0.200803
62	100.08	99.8897	100.01	-0.120699	0.190282
63	100.25	100.004	100.142	-0.13773	0.246063
64	100.4	100.137	100.278	-0.140907	0.26299
65	100.33	100.239	100.408	-0.168563	0.0906467
66	100.29	100.292	100.536	-0.244553	-0.00169705
67	100.29	100.404	100.666	-0.261584	-0.114249
68	100.32	100.478	100.792	-0.314188	-0.158312
69	100.82	100.852	100.91	-0.0586155	-0.0318012
70	101.42	101.493	101.019	0.474249	-0.0734158
71	101.46	101.681	101.134	0.54727	-0.22102
72	101.55	101.776	101.265	0.511124	-0.225707
73	101.56	101.317	101.402	-0.085803	0.243303
74	101.56	101.418	101.539	-0.120699	0.141949
75	101.6	101.528	101.666	-0.13773	0.0718967
76	101.66	101.636	101.777	-0.140907	0.0238238
77	101.82	101.72	101.888	-0.168563	0.10023
78	101.94	101.762	102.006	-0.244553	0.178303
79	101.95	101.702	101.963	-0.261584	0.248251
80	101.93	101.449	101.763	-0.314188	0.480855
81	102.26	101.507	101.565	-0.0586155	0.753199
82	102.65	101.843	101.369	0.474249	0.806584
83	102.9	101.721	101.173	0.54727	1.1794
84	102.94	101.484	100.973	0.511124	1.45554
85	99.14	100.703	100.788	-0.085803	-1.56253
86	99.18	100.509	100.63	-0.120699	-1.3293
87	99.23	100.341	100.479	-0.13773	-1.11102
88	99.32	100.197	100.338	-0.140907	-0.876593
89	99.46	100.036	100.205	-0.168563	-0.57602
90	99.5	99.8234	100.068	-0.244553	-0.323364
91	99.95	99.8167	100.078	-0.261584	0.133251
92	100.13	99.925	100.239	-0.314188	0.205022
93	100.43	100.341	100.399	-0.0586155	0.0894488
94	101.09	101.022	100.548	0.474249	0.0678342
95	101.27	101.233	100.686	0.54727	0.0368967
96	101.29	101.329	100.818	0.511124	-0.0394575
97	101.04	100.852	100.938	-0.085803	0.187886
98	101.14	100.921	101.042	-0.120699	0.218615
99	101.11	100.994	101.132	-0.13773	0.115647
100	101.01	101.063	101.204	-0.140907	-0.0532595
101	101.08	101.103	101.271	-0.168563	-0.0226866
102	101.06	101.098	101.342	-0.244553	-0.037947
103	101.26	NA	NA	-0.261584	NA
104	101.32	NA	NA	-0.314188	NA
105	101.4	NA	NA	-0.0586155	NA
106	101.85	NA	NA	0.474249	NA
107	102.12	NA	NA	0.54727	NA
108	102.15	NA	NA	0.511124	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