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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Mon, 23 Nov 2015 18:45:38 +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/23/t144830435975w4xtpmndtaj9m.htm/, Retrieved Tue, 14 May 2024 02:59:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283957, Retrieved Tue, 14 May 2024 02:59:46 +0000

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Estimated Impact

107

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

-       [Classical Decomposition] [] [2015-11-23 18:45:38] [2c14a834423fb5dcfbeb4b507321e1ef] [Current]
- R  D    [Classical Decomposition] [] [2016-01-09 11:18:40] [bd4e4aa6178eab1df445b78d9e683708] 
-   PD      [Classical Decomposition] [] [2016-01-11 20:46:54] [bd4e4aa6178eab1df445b78d9e683708] 

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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	'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283957&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283957&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	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	92.09	NA	NA	0.997862	NA
2	93.77	NA	NA	1.00179	NA
3	94.44	NA	NA	1.00349	NA
4	94.91	NA	NA	1.00363	NA
5	94.78	NA	NA	1.00192	NA
6	94.51	NA	NA	1.00478	NA
7	94.36	95.7326	95.6312	1.00106	0.985662
8	96.6	96.1982	96.0912	1.00111	1.00418
9	96.72	96.3656	96.4467	0.999159	1.00368
10	96.71	96.3652	96.8288	0.995213	1.00358
11	97.44	96.823	97.2429	0.995682	1.00637
12	97.83	97.1305	97.6875	0.994299	1.0072
13	98.92	97.948	98.1579	0.997862	1.00992
14	97.98	98.6912	98.515	1.00179	0.992794
15	98.76	99.1319	98.7875	1.00349	0.996248
16	99.76	99.4901	99.13	1.00363	1.00271
17	99.87	99.7127	99.5213	1.00192	1.00158
18	100.09	100.379	99.9013	1.00478	0.997121
19	100.07	100.477	100.37	1.00106	0.995951
20	99.46	101.231	101.119	1.00111	0.982503
21	100.4	101.961	102.047	0.999159	0.984687
22	101.25	102.449	102.942	0.995213	0.988298
23	102.29	103.334	103.782	0.995682	0.989901
24	102.1	104.037	104.634	0.994299	0.98138
25	105.91	105.29	105.516	0.997862	1.00589
26	108.95	106.605	106.415	1.00179	1.02199
27	110.07	107.673	107.299	1.00349	1.02226
28	109.92	108.498	108.105	1.00363	1.01311
29	109.87	109.022	108.813	1.00192	1.00778
30	110.54	110.002	109.479	1.00478	1.00489
31	110.79	110.116	109.999	1.00106	1.00612
32	110.32	110.396	110.273	1.00111	0.999311
33	110.76	110.301	110.393	0.999159	1.00417
34	110.24	109.91	110.439	0.995213	1.003
35	110.27	109.927	110.404	0.995682	1.00312
36	110.11	109.701	110.33	0.994299	1.00373
37	110.39	110.016	110.252	0.997862	1.0034
38	111.05	110.376	110.179	1.00179	1.00611
39	110.85	110.421	110.038	1.00349	1.00388
40	110.24	110.08	109.682	1.00363	1.00145
41	108.7	109.38	109.17	1.00192	0.993783
42	109.93	109.12	108.601	1.00478	1.00742
43	109.53	108.099	107.984	1.00106	1.01324
44	109.83	107.439	107.32	1.00111	1.02225
45	107.86	106.52	106.61	0.999159	1.01258
46	104.61	105.38	105.887	0.995213	0.992695
47	103.61	104.812	105.266	0.995682	0.988534
48	103.11	104.095	104.692	0.994299	0.990536
49	102.59	103.871	104.093	0.997862	0.98767
50	102.91	103.664	103.479	1.00179	0.992725
51	101.94	103.221	102.862	1.00349	0.987589
52	101.8	102.782	102.41	1.00363	0.990442
53	102.25	102.347	102.15	1.00192	0.999053
54	102.6	102.435	101.948	1.00478	1.00161
55	102.49	101.849	101.741	1.00106	1.0063
56	102.13	101.599	101.486	1.00111	1.00523
57	100.76	101.153	101.238	0.999159	0.996112
58	100.86	100.546	101.03	0.995213	1.00312
59	101.12	100.367	100.802	0.995682	1.0075
60	100.74	99.9747	100.548	0.994299	1.00766
61	99.99	100.069	100.284	0.997862	0.999208
62	99.39	100.213	100.035	1.00179	0.991783
63	99.52	100.205	99.8567	1.00349	0.993166
64	99.21	100.091	99.7292	1.00363	0.991194
65	99.38	99.7435	99.5521	1.00192	0.996355
66	99.37	99.8322	99.3571	1.00478	0.99537
67	99.38	99.3402	99.235	1.00106	1.0004
68	99.26	99.3429	99.2325	1.00111	0.999165
69	99.36	99.2007	99.2842	0.999159	1.00161
70	99.2	98.8636	99.3392	0.995213	1.0034
71	98.53	98.9692	99.3983	0.995682	0.995563
72	98.65	98.883	99.45	0.994299	0.997644
73	99.15	99.2552	99.4679	0.997862	0.99894
74	100.17	99.6136	99.4358	1.00179	1.00559
75	99.98	99.7307	99.3842	1.00349	1.0025
76	100.07	99.6833	99.3225	1.00363	1.00388
77	99.94	99.4935	99.3025	1.00192	1.00449
78	100.05	99.7987	99.3237	1.00478	1.00252
79	99.13	99.4587	99.3533	1.00106	0.996695
80	98.74	99.4802	99.3696	1.00111	0.99256
81	98.64	99.2861	99.3696	0.999159	0.993493
82	98.44	98.9175	99.3933	0.995213	0.995172
83	98.81	98.9858	99.415	0.995682	0.998224
84	98.88	98.8432	99.41	0.994299	1.00037
85	99.63	99.2211	99.4337	0.997862	1.00412
86	100.08	99.6783	99.5004	1.00179	1.00403
87	100.07	99.9456	99.5983	1.00349	1.00124
88	100.55	100.097	99.735	1.00363	1.00452
89	99.98	100.056	99.8637	1.00192	0.999242
90	99.89	100.436	99.9583	1.00478	0.99456
91	99.86	100.037	99.9308	1.00106	0.998233
92	99.61	99.8689	99.7579	1.00111	0.997407
93	100.12	99.4951	99.5788	0.999159	1.00628
94	100.24	98.9208	99.3967	0.995213	1.01334
95	100.1	98.7779	99.2063	0.995682	1.01338
96	99.86	98.4733	99.0379	0.994299	1.01408
97	97.99	98.6357	98.8471	0.997862	0.993454
98	97.57	98.7968	98.6204	1.00179	0.987583
99	98.28	98.7033	98.3604	1.00349	0.995711
100	97.97	98.4329	98.0767	1.00363	0.995297
101	97.99	97.9585	97.7704	1.00192	1.00032
102	97.84	97.9265	97.4604	1.00478	0.999117
103	97.33	NA	NA	1.00106	NA
104	96.7	NA	NA	1.00111	NA
105	96.79	NA	NA	0.999159	NA
106	96.76	NA	NA	0.995213	NA
107	96.23	NA	NA	0.995682	NA
108	96.29	NA	NA	0.994299	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 92.09 & NA & NA & 0.997862 & NA \tabularnewline
2 & 93.77 & NA & NA & 1.00179 & NA \tabularnewline
3 & 94.44 & NA & NA & 1.00349 & NA \tabularnewline
4 & 94.91 & NA & NA & 1.00363 & NA \tabularnewline
5 & 94.78 & NA & NA & 1.00192 & NA \tabularnewline
6 & 94.51 & NA & NA & 1.00478 & NA \tabularnewline
7 & 94.36 & 95.7326 & 95.6312 & 1.00106 & 0.985662 \tabularnewline
8 & 96.6 & 96.1982 & 96.0912 & 1.00111 & 1.00418 \tabularnewline
9 & 96.72 & 96.3656 & 96.4467 & 0.999159 & 1.00368 \tabularnewline
10 & 96.71 & 96.3652 & 96.8288 & 0.995213 & 1.00358 \tabularnewline
11 & 97.44 & 96.823 & 97.2429 & 0.995682 & 1.00637 \tabularnewline
12 & 97.83 & 97.1305 & 97.6875 & 0.994299 & 1.0072 \tabularnewline
13 & 98.92 & 97.948 & 98.1579 & 0.997862 & 1.00992 \tabularnewline
14 & 97.98 & 98.6912 & 98.515 & 1.00179 & 0.992794 \tabularnewline
15 & 98.76 & 99.1319 & 98.7875 & 1.00349 & 0.996248 \tabularnewline
16 & 99.76 & 99.4901 & 99.13 & 1.00363 & 1.00271 \tabularnewline
17 & 99.87 & 99.7127 & 99.5213 & 1.00192 & 1.00158 \tabularnewline
18 & 100.09 & 100.379 & 99.9013 & 1.00478 & 0.997121 \tabularnewline
19 & 100.07 & 100.477 & 100.37 & 1.00106 & 0.995951 \tabularnewline
20 & 99.46 & 101.231 & 101.119 & 1.00111 & 0.982503 \tabularnewline
21 & 100.4 & 101.961 & 102.047 & 0.999159 & 0.984687 \tabularnewline
22 & 101.25 & 102.449 & 102.942 & 0.995213 & 0.988298 \tabularnewline
23 & 102.29 & 103.334 & 103.782 & 0.995682 & 0.989901 \tabularnewline
24 & 102.1 & 104.037 & 104.634 & 0.994299 & 0.98138 \tabularnewline
25 & 105.91 & 105.29 & 105.516 & 0.997862 & 1.00589 \tabularnewline
26 & 108.95 & 106.605 & 106.415 & 1.00179 & 1.02199 \tabularnewline
27 & 110.07 & 107.673 & 107.299 & 1.00349 & 1.02226 \tabularnewline
28 & 109.92 & 108.498 & 108.105 & 1.00363 & 1.01311 \tabularnewline
29 & 109.87 & 109.022 & 108.813 & 1.00192 & 1.00778 \tabularnewline
30 & 110.54 & 110.002 & 109.479 & 1.00478 & 1.00489 \tabularnewline
31 & 110.79 & 110.116 & 109.999 & 1.00106 & 1.00612 \tabularnewline
32 & 110.32 & 110.396 & 110.273 & 1.00111 & 0.999311 \tabularnewline
33 & 110.76 & 110.301 & 110.393 & 0.999159 & 1.00417 \tabularnewline
34 & 110.24 & 109.91 & 110.439 & 0.995213 & 1.003 \tabularnewline
35 & 110.27 & 109.927 & 110.404 & 0.995682 & 1.00312 \tabularnewline
36 & 110.11 & 109.701 & 110.33 & 0.994299 & 1.00373 \tabularnewline
37 & 110.39 & 110.016 & 110.252 & 0.997862 & 1.0034 \tabularnewline
38 & 111.05 & 110.376 & 110.179 & 1.00179 & 1.00611 \tabularnewline
39 & 110.85 & 110.421 & 110.038 & 1.00349 & 1.00388 \tabularnewline
40 & 110.24 & 110.08 & 109.682 & 1.00363 & 1.00145 \tabularnewline
41 & 108.7 & 109.38 & 109.17 & 1.00192 & 0.993783 \tabularnewline
42 & 109.93 & 109.12 & 108.601 & 1.00478 & 1.00742 \tabularnewline
43 & 109.53 & 108.099 & 107.984 & 1.00106 & 1.01324 \tabularnewline
44 & 109.83 & 107.439 & 107.32 & 1.00111 & 1.02225 \tabularnewline
45 & 107.86 & 106.52 & 106.61 & 0.999159 & 1.01258 \tabularnewline
46 & 104.61 & 105.38 & 105.887 & 0.995213 & 0.992695 \tabularnewline
47 & 103.61 & 104.812 & 105.266 & 0.995682 & 0.988534 \tabularnewline
48 & 103.11 & 104.095 & 104.692 & 0.994299 & 0.990536 \tabularnewline
49 & 102.59 & 103.871 & 104.093 & 0.997862 & 0.98767 \tabularnewline
50 & 102.91 & 103.664 & 103.479 & 1.00179 & 0.992725 \tabularnewline
51 & 101.94 & 103.221 & 102.862 & 1.00349 & 0.987589 \tabularnewline
52 & 101.8 & 102.782 & 102.41 & 1.00363 & 0.990442 \tabularnewline
53 & 102.25 & 102.347 & 102.15 & 1.00192 & 0.999053 \tabularnewline
54 & 102.6 & 102.435 & 101.948 & 1.00478 & 1.00161 \tabularnewline
55 & 102.49 & 101.849 & 101.741 & 1.00106 & 1.0063 \tabularnewline
56 & 102.13 & 101.599 & 101.486 & 1.00111 & 1.00523 \tabularnewline
57 & 100.76 & 101.153 & 101.238 & 0.999159 & 0.996112 \tabularnewline
58 & 100.86 & 100.546 & 101.03 & 0.995213 & 1.00312 \tabularnewline
59 & 101.12 & 100.367 & 100.802 & 0.995682 & 1.0075 \tabularnewline
60 & 100.74 & 99.9747 & 100.548 & 0.994299 & 1.00766 \tabularnewline
61 & 99.99 & 100.069 & 100.284 & 0.997862 & 0.999208 \tabularnewline
62 & 99.39 & 100.213 & 100.035 & 1.00179 & 0.991783 \tabularnewline
63 & 99.52 & 100.205 & 99.8567 & 1.00349 & 0.993166 \tabularnewline
64 & 99.21 & 100.091 & 99.7292 & 1.00363 & 0.991194 \tabularnewline
65 & 99.38 & 99.7435 & 99.5521 & 1.00192 & 0.996355 \tabularnewline
66 & 99.37 & 99.8322 & 99.3571 & 1.00478 & 0.99537 \tabularnewline
67 & 99.38 & 99.3402 & 99.235 & 1.00106 & 1.0004 \tabularnewline
68 & 99.26 & 99.3429 & 99.2325 & 1.00111 & 0.999165 \tabularnewline
69 & 99.36 & 99.2007 & 99.2842 & 0.999159 & 1.00161 \tabularnewline
70 & 99.2 & 98.8636 & 99.3392 & 0.995213 & 1.0034 \tabularnewline
71 & 98.53 & 98.9692 & 99.3983 & 0.995682 & 0.995563 \tabularnewline
72 & 98.65 & 98.883 & 99.45 & 0.994299 & 0.997644 \tabularnewline
73 & 99.15 & 99.2552 & 99.4679 & 0.997862 & 0.99894 \tabularnewline
74 & 100.17 & 99.6136 & 99.4358 & 1.00179 & 1.00559 \tabularnewline
75 & 99.98 & 99.7307 & 99.3842 & 1.00349 & 1.0025 \tabularnewline
76 & 100.07 & 99.6833 & 99.3225 & 1.00363 & 1.00388 \tabularnewline
77 & 99.94 & 99.4935 & 99.3025 & 1.00192 & 1.00449 \tabularnewline
78 & 100.05 & 99.7987 & 99.3237 & 1.00478 & 1.00252 \tabularnewline
79 & 99.13 & 99.4587 & 99.3533 & 1.00106 & 0.996695 \tabularnewline
80 & 98.74 & 99.4802 & 99.3696 & 1.00111 & 0.99256 \tabularnewline
81 & 98.64 & 99.2861 & 99.3696 & 0.999159 & 0.993493 \tabularnewline
82 & 98.44 & 98.9175 & 99.3933 & 0.995213 & 0.995172 \tabularnewline
83 & 98.81 & 98.9858 & 99.415 & 0.995682 & 0.998224 \tabularnewline
84 & 98.88 & 98.8432 & 99.41 & 0.994299 & 1.00037 \tabularnewline
85 & 99.63 & 99.2211 & 99.4337 & 0.997862 & 1.00412 \tabularnewline
86 & 100.08 & 99.6783 & 99.5004 & 1.00179 & 1.00403 \tabularnewline
87 & 100.07 & 99.9456 & 99.5983 & 1.00349 & 1.00124 \tabularnewline
88 & 100.55 & 100.097 & 99.735 & 1.00363 & 1.00452 \tabularnewline
89 & 99.98 & 100.056 & 99.8637 & 1.00192 & 0.999242 \tabularnewline
90 & 99.89 & 100.436 & 99.9583 & 1.00478 & 0.99456 \tabularnewline
91 & 99.86 & 100.037 & 99.9308 & 1.00106 & 0.998233 \tabularnewline
92 & 99.61 & 99.8689 & 99.7579 & 1.00111 & 0.997407 \tabularnewline
93 & 100.12 & 99.4951 & 99.5788 & 0.999159 & 1.00628 \tabularnewline
94 & 100.24 & 98.9208 & 99.3967 & 0.995213 & 1.01334 \tabularnewline
95 & 100.1 & 98.7779 & 99.2063 & 0.995682 & 1.01338 \tabularnewline
96 & 99.86 & 98.4733 & 99.0379 & 0.994299 & 1.01408 \tabularnewline
97 & 97.99 & 98.6357 & 98.8471 & 0.997862 & 0.993454 \tabularnewline
98 & 97.57 & 98.7968 & 98.6204 & 1.00179 & 0.987583 \tabularnewline
99 & 98.28 & 98.7033 & 98.3604 & 1.00349 & 0.995711 \tabularnewline
100 & 97.97 & 98.4329 & 98.0767 & 1.00363 & 0.995297 \tabularnewline
101 & 97.99 & 97.9585 & 97.7704 & 1.00192 & 1.00032 \tabularnewline
102 & 97.84 & 97.9265 & 97.4604 & 1.00478 & 0.999117 \tabularnewline
103 & 97.33 & NA & NA & 1.00106 & NA \tabularnewline
104 & 96.7 & NA & NA & 1.00111 & NA \tabularnewline
105 & 96.79 & NA & NA & 0.999159 & NA \tabularnewline
106 & 96.76 & NA & NA & 0.995213 & NA \tabularnewline
107 & 96.23 & NA & NA & 0.995682 & NA \tabularnewline
108 & 96.29 & NA & NA & 0.994299 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283957&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]92.09[/C][C]NA[/C][C]NA[/C][C]0.997862[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]93.77[/C][C]NA[/C][C]NA[/C][C]1.00179[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]94.44[/C][C]NA[/C][C]NA[/C][C]1.00349[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]94.91[/C][C]NA[/C][C]NA[/C][C]1.00363[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]94.78[/C][C]NA[/C][C]NA[/C][C]1.00192[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]94.51[/C][C]NA[/C][C]NA[/C][C]1.00478[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]94.36[/C][C]95.7326[/C][C]95.6312[/C][C]1.00106[/C][C]0.985662[/C][/ROW]
[ROW][C]8[/C][C]96.6[/C][C]96.1982[/C][C]96.0912[/C][C]1.00111[/C][C]1.00418[/C][/ROW]
[ROW][C]9[/C][C]96.72[/C][C]96.3656[/C][C]96.4467[/C][C]0.999159[/C][C]1.00368[/C][/ROW]
[ROW][C]10[/C][C]96.71[/C][C]96.3652[/C][C]96.8288[/C][C]0.995213[/C][C]1.00358[/C][/ROW]
[ROW][C]11[/C][C]97.44[/C][C]96.823[/C][C]97.2429[/C][C]0.995682[/C][C]1.00637[/C][/ROW]
[ROW][C]12[/C][C]97.83[/C][C]97.1305[/C][C]97.6875[/C][C]0.994299[/C][C]1.0072[/C][/ROW]
[ROW][C]13[/C][C]98.92[/C][C]97.948[/C][C]98.1579[/C][C]0.997862[/C][C]1.00992[/C][/ROW]
[ROW][C]14[/C][C]97.98[/C][C]98.6912[/C][C]98.515[/C][C]1.00179[/C][C]0.992794[/C][/ROW]
[ROW][C]15[/C][C]98.76[/C][C]99.1319[/C][C]98.7875[/C][C]1.00349[/C][C]0.996248[/C][/ROW]
[ROW][C]16[/C][C]99.76[/C][C]99.4901[/C][C]99.13[/C][C]1.00363[/C][C]1.00271[/C][/ROW]
[ROW][C]17[/C][C]99.87[/C][C]99.7127[/C][C]99.5213[/C][C]1.00192[/C][C]1.00158[/C][/ROW]
[ROW][C]18[/C][C]100.09[/C][C]100.379[/C][C]99.9013[/C][C]1.00478[/C][C]0.997121[/C][/ROW]
[ROW][C]19[/C][C]100.07[/C][C]100.477[/C][C]100.37[/C][C]1.00106[/C][C]0.995951[/C][/ROW]
[ROW][C]20[/C][C]99.46[/C][C]101.231[/C][C]101.119[/C][C]1.00111[/C][C]0.982503[/C][/ROW]
[ROW][C]21[/C][C]100.4[/C][C]101.961[/C][C]102.047[/C][C]0.999159[/C][C]0.984687[/C][/ROW]
[ROW][C]22[/C][C]101.25[/C][C]102.449[/C][C]102.942[/C][C]0.995213[/C][C]0.988298[/C][/ROW]
[ROW][C]23[/C][C]102.29[/C][C]103.334[/C][C]103.782[/C][C]0.995682[/C][C]0.989901[/C][/ROW]
[ROW][C]24[/C][C]102.1[/C][C]104.037[/C][C]104.634[/C][C]0.994299[/C][C]0.98138[/C][/ROW]
[ROW][C]25[/C][C]105.91[/C][C]105.29[/C][C]105.516[/C][C]0.997862[/C][C]1.00589[/C][/ROW]
[ROW][C]26[/C][C]108.95[/C][C]106.605[/C][C]106.415[/C][C]1.00179[/C][C]1.02199[/C][/ROW]
[ROW][C]27[/C][C]110.07[/C][C]107.673[/C][C]107.299[/C][C]1.00349[/C][C]1.02226[/C][/ROW]
[ROW][C]28[/C][C]109.92[/C][C]108.498[/C][C]108.105[/C][C]1.00363[/C][C]1.01311[/C][/ROW]
[ROW][C]29[/C][C]109.87[/C][C]109.022[/C][C]108.813[/C][C]1.00192[/C][C]1.00778[/C][/ROW]
[ROW][C]30[/C][C]110.54[/C][C]110.002[/C][C]109.479[/C][C]1.00478[/C][C]1.00489[/C][/ROW]
[ROW][C]31[/C][C]110.79[/C][C]110.116[/C][C]109.999[/C][C]1.00106[/C][C]1.00612[/C][/ROW]
[ROW][C]32[/C][C]110.32[/C][C]110.396[/C][C]110.273[/C][C]1.00111[/C][C]0.999311[/C][/ROW]
[ROW][C]33[/C][C]110.76[/C][C]110.301[/C][C]110.393[/C][C]0.999159[/C][C]1.00417[/C][/ROW]
[ROW][C]34[/C][C]110.24[/C][C]109.91[/C][C]110.439[/C][C]0.995213[/C][C]1.003[/C][/ROW]
[ROW][C]35[/C][C]110.27[/C][C]109.927[/C][C]110.404[/C][C]0.995682[/C][C]1.00312[/C][/ROW]
[ROW][C]36[/C][C]110.11[/C][C]109.701[/C][C]110.33[/C][C]0.994299[/C][C]1.00373[/C][/ROW]
[ROW][C]37[/C][C]110.39[/C][C]110.016[/C][C]110.252[/C][C]0.997862[/C][C]1.0034[/C][/ROW]
[ROW][C]38[/C][C]111.05[/C][C]110.376[/C][C]110.179[/C][C]1.00179[/C][C]1.00611[/C][/ROW]
[ROW][C]39[/C][C]110.85[/C][C]110.421[/C][C]110.038[/C][C]1.00349[/C][C]1.00388[/C][/ROW]
[ROW][C]40[/C][C]110.24[/C][C]110.08[/C][C]109.682[/C][C]1.00363[/C][C]1.00145[/C][/ROW]
[ROW][C]41[/C][C]108.7[/C][C]109.38[/C][C]109.17[/C][C]1.00192[/C][C]0.993783[/C][/ROW]
[ROW][C]42[/C][C]109.93[/C][C]109.12[/C][C]108.601[/C][C]1.00478[/C][C]1.00742[/C][/ROW]
[ROW][C]43[/C][C]109.53[/C][C]108.099[/C][C]107.984[/C][C]1.00106[/C][C]1.01324[/C][/ROW]
[ROW][C]44[/C][C]109.83[/C][C]107.439[/C][C]107.32[/C][C]1.00111[/C][C]1.02225[/C][/ROW]
[ROW][C]45[/C][C]107.86[/C][C]106.52[/C][C]106.61[/C][C]0.999159[/C][C]1.01258[/C][/ROW]
[ROW][C]46[/C][C]104.61[/C][C]105.38[/C][C]105.887[/C][C]0.995213[/C][C]0.992695[/C][/ROW]
[ROW][C]47[/C][C]103.61[/C][C]104.812[/C][C]105.266[/C][C]0.995682[/C][C]0.988534[/C][/ROW]
[ROW][C]48[/C][C]103.11[/C][C]104.095[/C][C]104.692[/C][C]0.994299[/C][C]0.990536[/C][/ROW]
[ROW][C]49[/C][C]102.59[/C][C]103.871[/C][C]104.093[/C][C]0.997862[/C][C]0.98767[/C][/ROW]
[ROW][C]50[/C][C]102.91[/C][C]103.664[/C][C]103.479[/C][C]1.00179[/C][C]0.992725[/C][/ROW]
[ROW][C]51[/C][C]101.94[/C][C]103.221[/C][C]102.862[/C][C]1.00349[/C][C]0.987589[/C][/ROW]
[ROW][C]52[/C][C]101.8[/C][C]102.782[/C][C]102.41[/C][C]1.00363[/C][C]0.990442[/C][/ROW]
[ROW][C]53[/C][C]102.25[/C][C]102.347[/C][C]102.15[/C][C]1.00192[/C][C]0.999053[/C][/ROW]
[ROW][C]54[/C][C]102.6[/C][C]102.435[/C][C]101.948[/C][C]1.00478[/C][C]1.00161[/C][/ROW]
[ROW][C]55[/C][C]102.49[/C][C]101.849[/C][C]101.741[/C][C]1.00106[/C][C]1.0063[/C][/ROW]
[ROW][C]56[/C][C]102.13[/C][C]101.599[/C][C]101.486[/C][C]1.00111[/C][C]1.00523[/C][/ROW]
[ROW][C]57[/C][C]100.76[/C][C]101.153[/C][C]101.238[/C][C]0.999159[/C][C]0.996112[/C][/ROW]
[ROW][C]58[/C][C]100.86[/C][C]100.546[/C][C]101.03[/C][C]0.995213[/C][C]1.00312[/C][/ROW]
[ROW][C]59[/C][C]101.12[/C][C]100.367[/C][C]100.802[/C][C]0.995682[/C][C]1.0075[/C][/ROW]
[ROW][C]60[/C][C]100.74[/C][C]99.9747[/C][C]100.548[/C][C]0.994299[/C][C]1.00766[/C][/ROW]
[ROW][C]61[/C][C]99.99[/C][C]100.069[/C][C]100.284[/C][C]0.997862[/C][C]0.999208[/C][/ROW]
[ROW][C]62[/C][C]99.39[/C][C]100.213[/C][C]100.035[/C][C]1.00179[/C][C]0.991783[/C][/ROW]
[ROW][C]63[/C][C]99.52[/C][C]100.205[/C][C]99.8567[/C][C]1.00349[/C][C]0.993166[/C][/ROW]
[ROW][C]64[/C][C]99.21[/C][C]100.091[/C][C]99.7292[/C][C]1.00363[/C][C]0.991194[/C][/ROW]
[ROW][C]65[/C][C]99.38[/C][C]99.7435[/C][C]99.5521[/C][C]1.00192[/C][C]0.996355[/C][/ROW]
[ROW][C]66[/C][C]99.37[/C][C]99.8322[/C][C]99.3571[/C][C]1.00478[/C][C]0.99537[/C][/ROW]
[ROW][C]67[/C][C]99.38[/C][C]99.3402[/C][C]99.235[/C][C]1.00106[/C][C]1.0004[/C][/ROW]
[ROW][C]68[/C][C]99.26[/C][C]99.3429[/C][C]99.2325[/C][C]1.00111[/C][C]0.999165[/C][/ROW]
[ROW][C]69[/C][C]99.36[/C][C]99.2007[/C][C]99.2842[/C][C]0.999159[/C][C]1.00161[/C][/ROW]
[ROW][C]70[/C][C]99.2[/C][C]98.8636[/C][C]99.3392[/C][C]0.995213[/C][C]1.0034[/C][/ROW]
[ROW][C]71[/C][C]98.53[/C][C]98.9692[/C][C]99.3983[/C][C]0.995682[/C][C]0.995563[/C][/ROW]
[ROW][C]72[/C][C]98.65[/C][C]98.883[/C][C]99.45[/C][C]0.994299[/C][C]0.997644[/C][/ROW]
[ROW][C]73[/C][C]99.15[/C][C]99.2552[/C][C]99.4679[/C][C]0.997862[/C][C]0.99894[/C][/ROW]
[ROW][C]74[/C][C]100.17[/C][C]99.6136[/C][C]99.4358[/C][C]1.00179[/C][C]1.00559[/C][/ROW]
[ROW][C]75[/C][C]99.98[/C][C]99.7307[/C][C]99.3842[/C][C]1.00349[/C][C]1.0025[/C][/ROW]
[ROW][C]76[/C][C]100.07[/C][C]99.6833[/C][C]99.3225[/C][C]1.00363[/C][C]1.00388[/C][/ROW]
[ROW][C]77[/C][C]99.94[/C][C]99.4935[/C][C]99.3025[/C][C]1.00192[/C][C]1.00449[/C][/ROW]
[ROW][C]78[/C][C]100.05[/C][C]99.7987[/C][C]99.3237[/C][C]1.00478[/C][C]1.00252[/C][/ROW]
[ROW][C]79[/C][C]99.13[/C][C]99.4587[/C][C]99.3533[/C][C]1.00106[/C][C]0.996695[/C][/ROW]
[ROW][C]80[/C][C]98.74[/C][C]99.4802[/C][C]99.3696[/C][C]1.00111[/C][C]0.99256[/C][/ROW]
[ROW][C]81[/C][C]98.64[/C][C]99.2861[/C][C]99.3696[/C][C]0.999159[/C][C]0.993493[/C][/ROW]
[ROW][C]82[/C][C]98.44[/C][C]98.9175[/C][C]99.3933[/C][C]0.995213[/C][C]0.995172[/C][/ROW]
[ROW][C]83[/C][C]98.81[/C][C]98.9858[/C][C]99.415[/C][C]0.995682[/C][C]0.998224[/C][/ROW]
[ROW][C]84[/C][C]98.88[/C][C]98.8432[/C][C]99.41[/C][C]0.994299[/C][C]1.00037[/C][/ROW]
[ROW][C]85[/C][C]99.63[/C][C]99.2211[/C][C]99.4337[/C][C]0.997862[/C][C]1.00412[/C][/ROW]
[ROW][C]86[/C][C]100.08[/C][C]99.6783[/C][C]99.5004[/C][C]1.00179[/C][C]1.00403[/C][/ROW]
[ROW][C]87[/C][C]100.07[/C][C]99.9456[/C][C]99.5983[/C][C]1.00349[/C][C]1.00124[/C][/ROW]
[ROW][C]88[/C][C]100.55[/C][C]100.097[/C][C]99.735[/C][C]1.00363[/C][C]1.00452[/C][/ROW]
[ROW][C]89[/C][C]99.98[/C][C]100.056[/C][C]99.8637[/C][C]1.00192[/C][C]0.999242[/C][/ROW]
[ROW][C]90[/C][C]99.89[/C][C]100.436[/C][C]99.9583[/C][C]1.00478[/C][C]0.99456[/C][/ROW]
[ROW][C]91[/C][C]99.86[/C][C]100.037[/C][C]99.9308[/C][C]1.00106[/C][C]0.998233[/C][/ROW]
[ROW][C]92[/C][C]99.61[/C][C]99.8689[/C][C]99.7579[/C][C]1.00111[/C][C]0.997407[/C][/ROW]
[ROW][C]93[/C][C]100.12[/C][C]99.4951[/C][C]99.5788[/C][C]0.999159[/C][C]1.00628[/C][/ROW]
[ROW][C]94[/C][C]100.24[/C][C]98.9208[/C][C]99.3967[/C][C]0.995213[/C][C]1.01334[/C][/ROW]
[ROW][C]95[/C][C]100.1[/C][C]98.7779[/C][C]99.2063[/C][C]0.995682[/C][C]1.01338[/C][/ROW]
[ROW][C]96[/C][C]99.86[/C][C]98.4733[/C][C]99.0379[/C][C]0.994299[/C][C]1.01408[/C][/ROW]
[ROW][C]97[/C][C]97.99[/C][C]98.6357[/C][C]98.8471[/C][C]0.997862[/C][C]0.993454[/C][/ROW]
[ROW][C]98[/C][C]97.57[/C][C]98.7968[/C][C]98.6204[/C][C]1.00179[/C][C]0.987583[/C][/ROW]
[ROW][C]99[/C][C]98.28[/C][C]98.7033[/C][C]98.3604[/C][C]1.00349[/C][C]0.995711[/C][/ROW]
[ROW][C]100[/C][C]97.97[/C][C]98.4329[/C][C]98.0767[/C][C]1.00363[/C][C]0.995297[/C][/ROW]
[ROW][C]101[/C][C]97.99[/C][C]97.9585[/C][C]97.7704[/C][C]1.00192[/C][C]1.00032[/C][/ROW]
[ROW][C]102[/C][C]97.84[/C][C]97.9265[/C][C]97.4604[/C][C]1.00478[/C][C]0.999117[/C][/ROW]
[ROW][C]103[/C][C]97.33[/C][C]NA[/C][C]NA[/C][C]1.00106[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]96.7[/C][C]NA[/C][C]NA[/C][C]1.00111[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]96.79[/C][C]NA[/C][C]NA[/C][C]0.999159[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]96.76[/C][C]NA[/C][C]NA[/C][C]0.995213[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]96.23[/C][C]NA[/C][C]NA[/C][C]0.995682[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]96.29[/C][C]NA[/C][C]NA[/C][C]0.994299[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283957&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	92.09	NA	NA	0.997862	NA
2	93.77	NA	NA	1.00179	NA
3	94.44	NA	NA	1.00349	NA
4	94.91	NA	NA	1.00363	NA
5	94.78	NA	NA	1.00192	NA
6	94.51	NA	NA	1.00478	NA
7	94.36	95.7326	95.6312	1.00106	0.985662
8	96.6	96.1982	96.0912	1.00111	1.00418
9	96.72	96.3656	96.4467	0.999159	1.00368
10	96.71	96.3652	96.8288	0.995213	1.00358
11	97.44	96.823	97.2429	0.995682	1.00637
12	97.83	97.1305	97.6875	0.994299	1.0072
13	98.92	97.948	98.1579	0.997862	1.00992
14	97.98	98.6912	98.515	1.00179	0.992794
15	98.76	99.1319	98.7875	1.00349	0.996248
16	99.76	99.4901	99.13	1.00363	1.00271
17	99.87	99.7127	99.5213	1.00192	1.00158
18	100.09	100.379	99.9013	1.00478	0.997121
19	100.07	100.477	100.37	1.00106	0.995951
20	99.46	101.231	101.119	1.00111	0.982503
21	100.4	101.961	102.047	0.999159	0.984687
22	101.25	102.449	102.942	0.995213	0.988298
23	102.29	103.334	103.782	0.995682	0.989901
24	102.1	104.037	104.634	0.994299	0.98138
25	105.91	105.29	105.516	0.997862	1.00589
26	108.95	106.605	106.415	1.00179	1.02199
27	110.07	107.673	107.299	1.00349	1.02226
28	109.92	108.498	108.105	1.00363	1.01311
29	109.87	109.022	108.813	1.00192	1.00778
30	110.54	110.002	109.479	1.00478	1.00489
31	110.79	110.116	109.999	1.00106	1.00612
32	110.32	110.396	110.273	1.00111	0.999311
33	110.76	110.301	110.393	0.999159	1.00417
34	110.24	109.91	110.439	0.995213	1.003
35	110.27	109.927	110.404	0.995682	1.00312
36	110.11	109.701	110.33	0.994299	1.00373
37	110.39	110.016	110.252	0.997862	1.0034
38	111.05	110.376	110.179	1.00179	1.00611
39	110.85	110.421	110.038	1.00349	1.00388
40	110.24	110.08	109.682	1.00363	1.00145
41	108.7	109.38	109.17	1.00192	0.993783
42	109.93	109.12	108.601	1.00478	1.00742
43	109.53	108.099	107.984	1.00106	1.01324
44	109.83	107.439	107.32	1.00111	1.02225
45	107.86	106.52	106.61	0.999159	1.01258
46	104.61	105.38	105.887	0.995213	0.992695
47	103.61	104.812	105.266	0.995682	0.988534
48	103.11	104.095	104.692	0.994299	0.990536
49	102.59	103.871	104.093	0.997862	0.98767
50	102.91	103.664	103.479	1.00179	0.992725
51	101.94	103.221	102.862	1.00349	0.987589
52	101.8	102.782	102.41	1.00363	0.990442
53	102.25	102.347	102.15	1.00192	0.999053
54	102.6	102.435	101.948	1.00478	1.00161
55	102.49	101.849	101.741	1.00106	1.0063
56	102.13	101.599	101.486	1.00111	1.00523
57	100.76	101.153	101.238	0.999159	0.996112
58	100.86	100.546	101.03	0.995213	1.00312
59	101.12	100.367	100.802	0.995682	1.0075
60	100.74	99.9747	100.548	0.994299	1.00766
61	99.99	100.069	100.284	0.997862	0.999208
62	99.39	100.213	100.035	1.00179	0.991783
63	99.52	100.205	99.8567	1.00349	0.993166
64	99.21	100.091	99.7292	1.00363	0.991194
65	99.38	99.7435	99.5521	1.00192	0.996355
66	99.37	99.8322	99.3571	1.00478	0.99537
67	99.38	99.3402	99.235	1.00106	1.0004
68	99.26	99.3429	99.2325	1.00111	0.999165
69	99.36	99.2007	99.2842	0.999159	1.00161
70	99.2	98.8636	99.3392	0.995213	1.0034
71	98.53	98.9692	99.3983	0.995682	0.995563
72	98.65	98.883	99.45	0.994299	0.997644
73	99.15	99.2552	99.4679	0.997862	0.99894
74	100.17	99.6136	99.4358	1.00179	1.00559
75	99.98	99.7307	99.3842	1.00349	1.0025
76	100.07	99.6833	99.3225	1.00363	1.00388
77	99.94	99.4935	99.3025	1.00192	1.00449
78	100.05	99.7987	99.3237	1.00478	1.00252
79	99.13	99.4587	99.3533	1.00106	0.996695
80	98.74	99.4802	99.3696	1.00111	0.99256
81	98.64	99.2861	99.3696	0.999159	0.993493
82	98.44	98.9175	99.3933	0.995213	0.995172
83	98.81	98.9858	99.415	0.995682	0.998224
84	98.88	98.8432	99.41	0.994299	1.00037
85	99.63	99.2211	99.4337	0.997862	1.00412
86	100.08	99.6783	99.5004	1.00179	1.00403
87	100.07	99.9456	99.5983	1.00349	1.00124
88	100.55	100.097	99.735	1.00363	1.00452
89	99.98	100.056	99.8637	1.00192	0.999242
90	99.89	100.436	99.9583	1.00478	0.99456
91	99.86	100.037	99.9308	1.00106	0.998233
92	99.61	99.8689	99.7579	1.00111	0.997407
93	100.12	99.4951	99.5788	0.999159	1.00628
94	100.24	98.9208	99.3967	0.995213	1.01334
95	100.1	98.7779	99.2063	0.995682	1.01338
96	99.86	98.4733	99.0379	0.994299	1.01408
97	97.99	98.6357	98.8471	0.997862	0.993454
98	97.57	98.7968	98.6204	1.00179	0.987583
99	98.28	98.7033	98.3604	1.00349	0.995711
100	97.97	98.4329	98.0767	1.00363	0.995297
101	97.99	97.9585	97.7704	1.00192	1.00032
102	97.84	97.9265	97.4604	1.00478	0.999117
103	97.33	NA	NA	1.00106	NA
104	96.7	NA	NA	1.00111	NA
105	96.79	NA	NA	0.999159	NA
106	96.76	NA	NA	0.995213	NA
107	96.23	NA	NA	0.995682	NA
108	96.29	NA	NA	0.994299	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