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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Wed, 25 Nov 2015 16:40:57 +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/25/t1448469731pweki3rp7gi0pvf.htm/, Retrieved Wed, 15 May 2024 07:19:05 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284142, Retrieved Wed, 15 May 2024 07:19:05 +0000

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-       [Classical Decomposition] [] [2015-11-25 16:40:57] [bfd47bf74fe11b18de27163a0fd6b465] [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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284142&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284142&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284142&T=0

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	83.36	NA	NA	0.237899	NA
2	83.61	NA	NA	0.0399306	NA
3	83.41	NA	NA	0.171858	NA
4	83.64	NA	NA	0.15316	NA
5	84.06	NA	NA	-0.0190799	NA
6	83.93	NA	NA	-0.340434	NA
7	84.1	83.6706	84.0063	-0.335694	0.429444
8	84.37	83.3753	84.0796	-0.704236	0.994653
9	84.18	84.2913	84.1437	0.147535	-0.111285
10	84.11	84.6717	84.2242	0.447535	-0.561701
11	84.56	84.4981	84.3092	0.188941	0.0618924
12	84.2	84.4201	84.4075	0.0125868	-0.220087
13	84.45	84.7479	84.51	0.237899	-0.297899
14	84.28	84.622	84.5821	0.0399306	-0.342014
15	84.28	84.8698	84.6979	0.171858	-0.589774
16	84.7	85.0419	84.8887	0.15316	-0.34191
17	85.04	85.0484	85.0675	-0.0190799	-0.00842014
18	85.31	84.9137	85.2542	-0.340434	0.396267
19	85.18	85.1522	85.4879	-0.335694	0.0277778
20	85.02	85.0324	85.7367	-0.704236	-0.0124306
21	86.31	86.1338	85.9863	0.147535	0.176215
22	86.56	86.6846	86.2371	0.447535	-0.124618
23	86.4	86.6473	86.4583	0.188941	-0.247274
24	86.84	86.6426	86.63	0.0125868	0.197413
25	87.42	87.0412	86.8033	0.237899	0.378767
26	87.28	87.0403	87.0004	0.0399306	0.239653
27	87.27	87.3769	87.205	0.171858	-0.106858
28	87.73	87.5798	87.4267	0.15316	0.150174
29	87.32	87.6263	87.6454	-0.0190799	-0.306337
30	87.15	87.4925	87.8329	-0.340434	-0.342483
31	87.5	87.6635	87.9992	-0.335694	-0.163472
32	87.43	87.4699	88.1742	-0.704236	-0.0399306
33	88.81	88.5021	88.3546	0.147535	0.307882
34	89.38	88.9534	88.5058	0.447535	0.426632
35	88.83	88.8494	88.6604	0.188941	-0.0193576
36	88.91	88.8355	88.8229	0.0125868	0.0744965
37	89.34	89.2116	88.9738	0.237899	0.128351
38	89.56	89.1516	89.1117	0.0399306	0.408403
39	89.32	89.3981	89.2263	0.171858	-0.0781076
40	89.31	89.4794	89.3262	0.15316	-0.16941
41	89.45	89.4005	89.4196	-0.0190799	0.0494965
42	88.92	89.1687	89.5092	-0.340434	-0.248733
43	89.35	89.2568	89.5925	-0.335694	0.0931944
44	88.89	88.9574	89.6617	-0.704236	-0.0674306
45	90.1	89.8913	89.7437	0.147535	0.208715
46	90.49	90.318	89.8704	0.447535	0.172049
47	89.96	90.1889	90	0.188941	-0.228941
48	89.93	90.1597	90.1471	0.0125868	-0.22967
49	90.32	90.5512	90.3133	0.237899	-0.231233
50	90.24	90.5116	90.4717	0.0399306	-0.271597
51	90.61	90.8019	90.63	0.171858	-0.191858
52	91.06	90.9498	90.7967	0.15316	0.110174
53	90.81	90.9547	90.9738	-0.0190799	-0.14467
54	91.09	90.8096	91.15	-0.340434	0.280434
55	91.17	90.9997	91.3354	-0.335694	0.170278
56	90.87	90.8078	91.5121	-0.704236	0.0621528
57	91.92	91.8271	91.6796	0.147535	0.0928819
58	92.67	92.28	91.8325	0.447535	0.389965
59	92.03	92.1698	91.9808	0.188941	-0.139774
60	92.09	92.1218	92.1092	0.0125868	-0.0317535
61	92.61	92.4525	92.2146	0.237899	0.157517
62	92.19	92.3562	92.3162	0.0399306	-0.166181
63	92.68	92.6098	92.4379	0.171858	0.0702257
64	92.66	92.7273	92.5742	0.15316	-0.0673264
65	92.77	92.7159	92.735	-0.0190799	0.0540799
66	92.21	92.5979	92.9383	-0.340434	-0.387899
67	92.58	92.7756	93.1112	-0.335694	-0.195556
68	91.9	92.5853	93.2896	-0.704236	-0.685347
69	93.81	93.663	93.5154	0.147535	0.147049
70	94.05	94.2171	93.7696	0.447535	-0.167118
71	94.51	94.2239	94.035	0.188941	0.286059
72	94.49	94.3409	94.3283	0.0125868	0.14908
73	94.36	94.8629	94.625	0.237899	-0.502899
74	94.72	94.9733	94.9333	0.0399306	-0.253264
75	95.57	95.4152	95.2433	0.171858	0.154809
76	95.87	95.684	95.5308	0.15316	0.186007
77	95.93	95.8301	95.8492	-0.0190799	0.0999132
78	96.09	95.8275	96.1679	-0.340434	0.262517
79	95.82	96.1701	96.5058	-0.335694	-0.350139
80	96.06	96.1658	96.87	-0.704236	-0.105764
81	97.09	97.3813	97.2337	0.147535	-0.291285
82	97.67	98.0175	97.57	0.447535	-0.347535
83	98.53	98.0719	97.8829	0.188941	0.458142
84	98.12	98.2013	98.1887	0.0125868	-0.0813368
85	98.84	98.7358	98.4979	0.237899	0.104184
86	98.98	98.8495	98.8096	0.0399306	0.130486
87	100.04	99.2569	99.085	0.171858	0.783142
88	99.47	99.5252	99.3721	0.15316	-0.0552431
89	99.84	99.613	99.6321	-0.0190799	0.226997
90	99.52	99.5279	99.8683	-0.340434	-0.00789931
91	99.81	99.791	100.127	-0.335694	0.0190278
92	99.55	99.6653	100.37	-0.704236	-0.115347
93	100.21	100.71	100.562	0.147535	-0.499618
94	101.44	101.197	100.75	0.447535	0.242882
95	101	101.14	100.951	0.188941	-0.140191
96	101.32	101.148	101.135	0.0125868	0.172413
97	101.84	101.546	101.308	0.237899	0.293767
98	101.81	101.525	101.485	0.0399306	0.285069
99	101.83	101.841	101.669	0.171858	-0.0110243
100	102.18	101.962	101.809	0.15316	0.21809
101	101.97	101.911	101.93	-0.0190799	0.0594965
102	101.8	101.722	102.062	-0.340434	0.0783507
103	101.69	NA	NA	-0.335694	NA
104	101.91	NA	NA	-0.704236	NA
105	102.27	NA	NA	0.147535	NA
106	102.73	NA	NA	0.447535	NA
107	102.61	NA	NA	0.188941	NA
108	102.89	NA	NA	0.0125868	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 83.36 & NA & NA & 0.237899 & NA \tabularnewline
2 & 83.61 & NA & NA & 0.0399306 & NA \tabularnewline
3 & 83.41 & NA & NA & 0.171858 & NA \tabularnewline
4 & 83.64 & NA & NA & 0.15316 & NA \tabularnewline
5 & 84.06 & NA & NA & -0.0190799 & NA \tabularnewline
6 & 83.93 & NA & NA & -0.340434 & NA \tabularnewline
7 & 84.1 & 83.6706 & 84.0063 & -0.335694 & 0.429444 \tabularnewline
8 & 84.37 & 83.3753 & 84.0796 & -0.704236 & 0.994653 \tabularnewline
9 & 84.18 & 84.2913 & 84.1437 & 0.147535 & -0.111285 \tabularnewline
10 & 84.11 & 84.6717 & 84.2242 & 0.447535 & -0.561701 \tabularnewline
11 & 84.56 & 84.4981 & 84.3092 & 0.188941 & 0.0618924 \tabularnewline
12 & 84.2 & 84.4201 & 84.4075 & 0.0125868 & -0.220087 \tabularnewline
13 & 84.45 & 84.7479 & 84.51 & 0.237899 & -0.297899 \tabularnewline
14 & 84.28 & 84.622 & 84.5821 & 0.0399306 & -0.342014 \tabularnewline
15 & 84.28 & 84.8698 & 84.6979 & 0.171858 & -0.589774 \tabularnewline
16 & 84.7 & 85.0419 & 84.8887 & 0.15316 & -0.34191 \tabularnewline
17 & 85.04 & 85.0484 & 85.0675 & -0.0190799 & -0.00842014 \tabularnewline
18 & 85.31 & 84.9137 & 85.2542 & -0.340434 & 0.396267 \tabularnewline
19 & 85.18 & 85.1522 & 85.4879 & -0.335694 & 0.0277778 \tabularnewline
20 & 85.02 & 85.0324 & 85.7367 & -0.704236 & -0.0124306 \tabularnewline
21 & 86.31 & 86.1338 & 85.9863 & 0.147535 & 0.176215 \tabularnewline
22 & 86.56 & 86.6846 & 86.2371 & 0.447535 & -0.124618 \tabularnewline
23 & 86.4 & 86.6473 & 86.4583 & 0.188941 & -0.247274 \tabularnewline
24 & 86.84 & 86.6426 & 86.63 & 0.0125868 & 0.197413 \tabularnewline
25 & 87.42 & 87.0412 & 86.8033 & 0.237899 & 0.378767 \tabularnewline
26 & 87.28 & 87.0403 & 87.0004 & 0.0399306 & 0.239653 \tabularnewline
27 & 87.27 & 87.3769 & 87.205 & 0.171858 & -0.106858 \tabularnewline
28 & 87.73 & 87.5798 & 87.4267 & 0.15316 & 0.150174 \tabularnewline
29 & 87.32 & 87.6263 & 87.6454 & -0.0190799 & -0.306337 \tabularnewline
30 & 87.15 & 87.4925 & 87.8329 & -0.340434 & -0.342483 \tabularnewline
31 & 87.5 & 87.6635 & 87.9992 & -0.335694 & -0.163472 \tabularnewline
32 & 87.43 & 87.4699 & 88.1742 & -0.704236 & -0.0399306 \tabularnewline
33 & 88.81 & 88.5021 & 88.3546 & 0.147535 & 0.307882 \tabularnewline
34 & 89.38 & 88.9534 & 88.5058 & 0.447535 & 0.426632 \tabularnewline
35 & 88.83 & 88.8494 & 88.6604 & 0.188941 & -0.0193576 \tabularnewline
36 & 88.91 & 88.8355 & 88.8229 & 0.0125868 & 0.0744965 \tabularnewline
37 & 89.34 & 89.2116 & 88.9738 & 0.237899 & 0.128351 \tabularnewline
38 & 89.56 & 89.1516 & 89.1117 & 0.0399306 & 0.408403 \tabularnewline
39 & 89.32 & 89.3981 & 89.2263 & 0.171858 & -0.0781076 \tabularnewline
40 & 89.31 & 89.4794 & 89.3262 & 0.15316 & -0.16941 \tabularnewline
41 & 89.45 & 89.4005 & 89.4196 & -0.0190799 & 0.0494965 \tabularnewline
42 & 88.92 & 89.1687 & 89.5092 & -0.340434 & -0.248733 \tabularnewline
43 & 89.35 & 89.2568 & 89.5925 & -0.335694 & 0.0931944 \tabularnewline
44 & 88.89 & 88.9574 & 89.6617 & -0.704236 & -0.0674306 \tabularnewline
45 & 90.1 & 89.8913 & 89.7437 & 0.147535 & 0.208715 \tabularnewline
46 & 90.49 & 90.318 & 89.8704 & 0.447535 & 0.172049 \tabularnewline
47 & 89.96 & 90.1889 & 90 & 0.188941 & -0.228941 \tabularnewline
48 & 89.93 & 90.1597 & 90.1471 & 0.0125868 & -0.22967 \tabularnewline
49 & 90.32 & 90.5512 & 90.3133 & 0.237899 & -0.231233 \tabularnewline
50 & 90.24 & 90.5116 & 90.4717 & 0.0399306 & -0.271597 \tabularnewline
51 & 90.61 & 90.8019 & 90.63 & 0.171858 & -0.191858 \tabularnewline
52 & 91.06 & 90.9498 & 90.7967 & 0.15316 & 0.110174 \tabularnewline
53 & 90.81 & 90.9547 & 90.9738 & -0.0190799 & -0.14467 \tabularnewline
54 & 91.09 & 90.8096 & 91.15 & -0.340434 & 0.280434 \tabularnewline
55 & 91.17 & 90.9997 & 91.3354 & -0.335694 & 0.170278 \tabularnewline
56 & 90.87 & 90.8078 & 91.5121 & -0.704236 & 0.0621528 \tabularnewline
57 & 91.92 & 91.8271 & 91.6796 & 0.147535 & 0.0928819 \tabularnewline
58 & 92.67 & 92.28 & 91.8325 & 0.447535 & 0.389965 \tabularnewline
59 & 92.03 & 92.1698 & 91.9808 & 0.188941 & -0.139774 \tabularnewline
60 & 92.09 & 92.1218 & 92.1092 & 0.0125868 & -0.0317535 \tabularnewline
61 & 92.61 & 92.4525 & 92.2146 & 0.237899 & 0.157517 \tabularnewline
62 & 92.19 & 92.3562 & 92.3162 & 0.0399306 & -0.166181 \tabularnewline
63 & 92.68 & 92.6098 & 92.4379 & 0.171858 & 0.0702257 \tabularnewline
64 & 92.66 & 92.7273 & 92.5742 & 0.15316 & -0.0673264 \tabularnewline
65 & 92.77 & 92.7159 & 92.735 & -0.0190799 & 0.0540799 \tabularnewline
66 & 92.21 & 92.5979 & 92.9383 & -0.340434 & -0.387899 \tabularnewline
67 & 92.58 & 92.7756 & 93.1112 & -0.335694 & -0.195556 \tabularnewline
68 & 91.9 & 92.5853 & 93.2896 & -0.704236 & -0.685347 \tabularnewline
69 & 93.81 & 93.663 & 93.5154 & 0.147535 & 0.147049 \tabularnewline
70 & 94.05 & 94.2171 & 93.7696 & 0.447535 & -0.167118 \tabularnewline
71 & 94.51 & 94.2239 & 94.035 & 0.188941 & 0.286059 \tabularnewline
72 & 94.49 & 94.3409 & 94.3283 & 0.0125868 & 0.14908 \tabularnewline
73 & 94.36 & 94.8629 & 94.625 & 0.237899 & -0.502899 \tabularnewline
74 & 94.72 & 94.9733 & 94.9333 & 0.0399306 & -0.253264 \tabularnewline
75 & 95.57 & 95.4152 & 95.2433 & 0.171858 & 0.154809 \tabularnewline
76 & 95.87 & 95.684 & 95.5308 & 0.15316 & 0.186007 \tabularnewline
77 & 95.93 & 95.8301 & 95.8492 & -0.0190799 & 0.0999132 \tabularnewline
78 & 96.09 & 95.8275 & 96.1679 & -0.340434 & 0.262517 \tabularnewline
79 & 95.82 & 96.1701 & 96.5058 & -0.335694 & -0.350139 \tabularnewline
80 & 96.06 & 96.1658 & 96.87 & -0.704236 & -0.105764 \tabularnewline
81 & 97.09 & 97.3813 & 97.2337 & 0.147535 & -0.291285 \tabularnewline
82 & 97.67 & 98.0175 & 97.57 & 0.447535 & -0.347535 \tabularnewline
83 & 98.53 & 98.0719 & 97.8829 & 0.188941 & 0.458142 \tabularnewline
84 & 98.12 & 98.2013 & 98.1887 & 0.0125868 & -0.0813368 \tabularnewline
85 & 98.84 & 98.7358 & 98.4979 & 0.237899 & 0.104184 \tabularnewline
86 & 98.98 & 98.8495 & 98.8096 & 0.0399306 & 0.130486 \tabularnewline
87 & 100.04 & 99.2569 & 99.085 & 0.171858 & 0.783142 \tabularnewline
88 & 99.47 & 99.5252 & 99.3721 & 0.15316 & -0.0552431 \tabularnewline
89 & 99.84 & 99.613 & 99.6321 & -0.0190799 & 0.226997 \tabularnewline
90 & 99.52 & 99.5279 & 99.8683 & -0.340434 & -0.00789931 \tabularnewline
91 & 99.81 & 99.791 & 100.127 & -0.335694 & 0.0190278 \tabularnewline
92 & 99.55 & 99.6653 & 100.37 & -0.704236 & -0.115347 \tabularnewline
93 & 100.21 & 100.71 & 100.562 & 0.147535 & -0.499618 \tabularnewline
94 & 101.44 & 101.197 & 100.75 & 0.447535 & 0.242882 \tabularnewline
95 & 101 & 101.14 & 100.951 & 0.188941 & -0.140191 \tabularnewline
96 & 101.32 & 101.148 & 101.135 & 0.0125868 & 0.172413 \tabularnewline
97 & 101.84 & 101.546 & 101.308 & 0.237899 & 0.293767 \tabularnewline
98 & 101.81 & 101.525 & 101.485 & 0.0399306 & 0.285069 \tabularnewline
99 & 101.83 & 101.841 & 101.669 & 0.171858 & -0.0110243 \tabularnewline
100 & 102.18 & 101.962 & 101.809 & 0.15316 & 0.21809 \tabularnewline
101 & 101.97 & 101.911 & 101.93 & -0.0190799 & 0.0594965 \tabularnewline
102 & 101.8 & 101.722 & 102.062 & -0.340434 & 0.0783507 \tabularnewline
103 & 101.69 & NA & NA & -0.335694 & NA \tabularnewline
104 & 101.91 & NA & NA & -0.704236 & NA \tabularnewline
105 & 102.27 & NA & NA & 0.147535 & NA \tabularnewline
106 & 102.73 & NA & NA & 0.447535 & NA \tabularnewline
107 & 102.61 & NA & NA & 0.188941 & NA \tabularnewline
108 & 102.89 & NA & NA & 0.0125868 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284142&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]83.36[/C][C]NA[/C][C]NA[/C][C]0.237899[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]83.61[/C][C]NA[/C][C]NA[/C][C]0.0399306[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]83.41[/C][C]NA[/C][C]NA[/C][C]0.171858[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]83.64[/C][C]NA[/C][C]NA[/C][C]0.15316[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]84.06[/C][C]NA[/C][C]NA[/C][C]-0.0190799[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]83.93[/C][C]NA[/C][C]NA[/C][C]-0.340434[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]84.1[/C][C]83.6706[/C][C]84.0063[/C][C]-0.335694[/C][C]0.429444[/C][/ROW]
[ROW][C]8[/C][C]84.37[/C][C]83.3753[/C][C]84.0796[/C][C]-0.704236[/C][C]0.994653[/C][/ROW]
[ROW][C]9[/C][C]84.18[/C][C]84.2913[/C][C]84.1437[/C][C]0.147535[/C][C]-0.111285[/C][/ROW]
[ROW][C]10[/C][C]84.11[/C][C]84.6717[/C][C]84.2242[/C][C]0.447535[/C][C]-0.561701[/C][/ROW]
[ROW][C]11[/C][C]84.56[/C][C]84.4981[/C][C]84.3092[/C][C]0.188941[/C][C]0.0618924[/C][/ROW]
[ROW][C]12[/C][C]84.2[/C][C]84.4201[/C][C]84.4075[/C][C]0.0125868[/C][C]-0.220087[/C][/ROW]
[ROW][C]13[/C][C]84.45[/C][C]84.7479[/C][C]84.51[/C][C]0.237899[/C][C]-0.297899[/C][/ROW]
[ROW][C]14[/C][C]84.28[/C][C]84.622[/C][C]84.5821[/C][C]0.0399306[/C][C]-0.342014[/C][/ROW]
[ROW][C]15[/C][C]84.28[/C][C]84.8698[/C][C]84.6979[/C][C]0.171858[/C][C]-0.589774[/C][/ROW]
[ROW][C]16[/C][C]84.7[/C][C]85.0419[/C][C]84.8887[/C][C]0.15316[/C][C]-0.34191[/C][/ROW]
[ROW][C]17[/C][C]85.04[/C][C]85.0484[/C][C]85.0675[/C][C]-0.0190799[/C][C]-0.00842014[/C][/ROW]
[ROW][C]18[/C][C]85.31[/C][C]84.9137[/C][C]85.2542[/C][C]-0.340434[/C][C]0.396267[/C][/ROW]
[ROW][C]19[/C][C]85.18[/C][C]85.1522[/C][C]85.4879[/C][C]-0.335694[/C][C]0.0277778[/C][/ROW]
[ROW][C]20[/C][C]85.02[/C][C]85.0324[/C][C]85.7367[/C][C]-0.704236[/C][C]-0.0124306[/C][/ROW]
[ROW][C]21[/C][C]86.31[/C][C]86.1338[/C][C]85.9863[/C][C]0.147535[/C][C]0.176215[/C][/ROW]
[ROW][C]22[/C][C]86.56[/C][C]86.6846[/C][C]86.2371[/C][C]0.447535[/C][C]-0.124618[/C][/ROW]
[ROW][C]23[/C][C]86.4[/C][C]86.6473[/C][C]86.4583[/C][C]0.188941[/C][C]-0.247274[/C][/ROW]
[ROW][C]24[/C][C]86.84[/C][C]86.6426[/C][C]86.63[/C][C]0.0125868[/C][C]0.197413[/C][/ROW]
[ROW][C]25[/C][C]87.42[/C][C]87.0412[/C][C]86.8033[/C][C]0.237899[/C][C]0.378767[/C][/ROW]
[ROW][C]26[/C][C]87.28[/C][C]87.0403[/C][C]87.0004[/C][C]0.0399306[/C][C]0.239653[/C][/ROW]
[ROW][C]27[/C][C]87.27[/C][C]87.3769[/C][C]87.205[/C][C]0.171858[/C][C]-0.106858[/C][/ROW]
[ROW][C]28[/C][C]87.73[/C][C]87.5798[/C][C]87.4267[/C][C]0.15316[/C][C]0.150174[/C][/ROW]
[ROW][C]29[/C][C]87.32[/C][C]87.6263[/C][C]87.6454[/C][C]-0.0190799[/C][C]-0.306337[/C][/ROW]
[ROW][C]30[/C][C]87.15[/C][C]87.4925[/C][C]87.8329[/C][C]-0.340434[/C][C]-0.342483[/C][/ROW]
[ROW][C]31[/C][C]87.5[/C][C]87.6635[/C][C]87.9992[/C][C]-0.335694[/C][C]-0.163472[/C][/ROW]
[ROW][C]32[/C][C]87.43[/C][C]87.4699[/C][C]88.1742[/C][C]-0.704236[/C][C]-0.0399306[/C][/ROW]
[ROW][C]33[/C][C]88.81[/C][C]88.5021[/C][C]88.3546[/C][C]0.147535[/C][C]0.307882[/C][/ROW]
[ROW][C]34[/C][C]89.38[/C][C]88.9534[/C][C]88.5058[/C][C]0.447535[/C][C]0.426632[/C][/ROW]
[ROW][C]35[/C][C]88.83[/C][C]88.8494[/C][C]88.6604[/C][C]0.188941[/C][C]-0.0193576[/C][/ROW]
[ROW][C]36[/C][C]88.91[/C][C]88.8355[/C][C]88.8229[/C][C]0.0125868[/C][C]0.0744965[/C][/ROW]
[ROW][C]37[/C][C]89.34[/C][C]89.2116[/C][C]88.9738[/C][C]0.237899[/C][C]0.128351[/C][/ROW]
[ROW][C]38[/C][C]89.56[/C][C]89.1516[/C][C]89.1117[/C][C]0.0399306[/C][C]0.408403[/C][/ROW]
[ROW][C]39[/C][C]89.32[/C][C]89.3981[/C][C]89.2263[/C][C]0.171858[/C][C]-0.0781076[/C][/ROW]
[ROW][C]40[/C][C]89.31[/C][C]89.4794[/C][C]89.3262[/C][C]0.15316[/C][C]-0.16941[/C][/ROW]
[ROW][C]41[/C][C]89.45[/C][C]89.4005[/C][C]89.4196[/C][C]-0.0190799[/C][C]0.0494965[/C][/ROW]
[ROW][C]42[/C][C]88.92[/C][C]89.1687[/C][C]89.5092[/C][C]-0.340434[/C][C]-0.248733[/C][/ROW]
[ROW][C]43[/C][C]89.35[/C][C]89.2568[/C][C]89.5925[/C][C]-0.335694[/C][C]0.0931944[/C][/ROW]
[ROW][C]44[/C][C]88.89[/C][C]88.9574[/C][C]89.6617[/C][C]-0.704236[/C][C]-0.0674306[/C][/ROW]
[ROW][C]45[/C][C]90.1[/C][C]89.8913[/C][C]89.7437[/C][C]0.147535[/C][C]0.208715[/C][/ROW]
[ROW][C]46[/C][C]90.49[/C][C]90.318[/C][C]89.8704[/C][C]0.447535[/C][C]0.172049[/C][/ROW]
[ROW][C]47[/C][C]89.96[/C][C]90.1889[/C][C]90[/C][C]0.188941[/C][C]-0.228941[/C][/ROW]
[ROW][C]48[/C][C]89.93[/C][C]90.1597[/C][C]90.1471[/C][C]0.0125868[/C][C]-0.22967[/C][/ROW]
[ROW][C]49[/C][C]90.32[/C][C]90.5512[/C][C]90.3133[/C][C]0.237899[/C][C]-0.231233[/C][/ROW]
[ROW][C]50[/C][C]90.24[/C][C]90.5116[/C][C]90.4717[/C][C]0.0399306[/C][C]-0.271597[/C][/ROW]
[ROW][C]51[/C][C]90.61[/C][C]90.8019[/C][C]90.63[/C][C]0.171858[/C][C]-0.191858[/C][/ROW]
[ROW][C]52[/C][C]91.06[/C][C]90.9498[/C][C]90.7967[/C][C]0.15316[/C][C]0.110174[/C][/ROW]
[ROW][C]53[/C][C]90.81[/C][C]90.9547[/C][C]90.9738[/C][C]-0.0190799[/C][C]-0.14467[/C][/ROW]
[ROW][C]54[/C][C]91.09[/C][C]90.8096[/C][C]91.15[/C][C]-0.340434[/C][C]0.280434[/C][/ROW]
[ROW][C]55[/C][C]91.17[/C][C]90.9997[/C][C]91.3354[/C][C]-0.335694[/C][C]0.170278[/C][/ROW]
[ROW][C]56[/C][C]90.87[/C][C]90.8078[/C][C]91.5121[/C][C]-0.704236[/C][C]0.0621528[/C][/ROW]
[ROW][C]57[/C][C]91.92[/C][C]91.8271[/C][C]91.6796[/C][C]0.147535[/C][C]0.0928819[/C][/ROW]
[ROW][C]58[/C][C]92.67[/C][C]92.28[/C][C]91.8325[/C][C]0.447535[/C][C]0.389965[/C][/ROW]
[ROW][C]59[/C][C]92.03[/C][C]92.1698[/C][C]91.9808[/C][C]0.188941[/C][C]-0.139774[/C][/ROW]
[ROW][C]60[/C][C]92.09[/C][C]92.1218[/C][C]92.1092[/C][C]0.0125868[/C][C]-0.0317535[/C][/ROW]
[ROW][C]61[/C][C]92.61[/C][C]92.4525[/C][C]92.2146[/C][C]0.237899[/C][C]0.157517[/C][/ROW]
[ROW][C]62[/C][C]92.19[/C][C]92.3562[/C][C]92.3162[/C][C]0.0399306[/C][C]-0.166181[/C][/ROW]
[ROW][C]63[/C][C]92.68[/C][C]92.6098[/C][C]92.4379[/C][C]0.171858[/C][C]0.0702257[/C][/ROW]
[ROW][C]64[/C][C]92.66[/C][C]92.7273[/C][C]92.5742[/C][C]0.15316[/C][C]-0.0673264[/C][/ROW]
[ROW][C]65[/C][C]92.77[/C][C]92.7159[/C][C]92.735[/C][C]-0.0190799[/C][C]0.0540799[/C][/ROW]
[ROW][C]66[/C][C]92.21[/C][C]92.5979[/C][C]92.9383[/C][C]-0.340434[/C][C]-0.387899[/C][/ROW]
[ROW][C]67[/C][C]92.58[/C][C]92.7756[/C][C]93.1112[/C][C]-0.335694[/C][C]-0.195556[/C][/ROW]
[ROW][C]68[/C][C]91.9[/C][C]92.5853[/C][C]93.2896[/C][C]-0.704236[/C][C]-0.685347[/C][/ROW]
[ROW][C]69[/C][C]93.81[/C][C]93.663[/C][C]93.5154[/C][C]0.147535[/C][C]0.147049[/C][/ROW]
[ROW][C]70[/C][C]94.05[/C][C]94.2171[/C][C]93.7696[/C][C]0.447535[/C][C]-0.167118[/C][/ROW]
[ROW][C]71[/C][C]94.51[/C][C]94.2239[/C][C]94.035[/C][C]0.188941[/C][C]0.286059[/C][/ROW]
[ROW][C]72[/C][C]94.49[/C][C]94.3409[/C][C]94.3283[/C][C]0.0125868[/C][C]0.14908[/C][/ROW]
[ROW][C]73[/C][C]94.36[/C][C]94.8629[/C][C]94.625[/C][C]0.237899[/C][C]-0.502899[/C][/ROW]
[ROW][C]74[/C][C]94.72[/C][C]94.9733[/C][C]94.9333[/C][C]0.0399306[/C][C]-0.253264[/C][/ROW]
[ROW][C]75[/C][C]95.57[/C][C]95.4152[/C][C]95.2433[/C][C]0.171858[/C][C]0.154809[/C][/ROW]
[ROW][C]76[/C][C]95.87[/C][C]95.684[/C][C]95.5308[/C][C]0.15316[/C][C]0.186007[/C][/ROW]
[ROW][C]77[/C][C]95.93[/C][C]95.8301[/C][C]95.8492[/C][C]-0.0190799[/C][C]0.0999132[/C][/ROW]
[ROW][C]78[/C][C]96.09[/C][C]95.8275[/C][C]96.1679[/C][C]-0.340434[/C][C]0.262517[/C][/ROW]
[ROW][C]79[/C][C]95.82[/C][C]96.1701[/C][C]96.5058[/C][C]-0.335694[/C][C]-0.350139[/C][/ROW]
[ROW][C]80[/C][C]96.06[/C][C]96.1658[/C][C]96.87[/C][C]-0.704236[/C][C]-0.105764[/C][/ROW]
[ROW][C]81[/C][C]97.09[/C][C]97.3813[/C][C]97.2337[/C][C]0.147535[/C][C]-0.291285[/C][/ROW]
[ROW][C]82[/C][C]97.67[/C][C]98.0175[/C][C]97.57[/C][C]0.447535[/C][C]-0.347535[/C][/ROW]
[ROW][C]83[/C][C]98.53[/C][C]98.0719[/C][C]97.8829[/C][C]0.188941[/C][C]0.458142[/C][/ROW]
[ROW][C]84[/C][C]98.12[/C][C]98.2013[/C][C]98.1887[/C][C]0.0125868[/C][C]-0.0813368[/C][/ROW]
[ROW][C]85[/C][C]98.84[/C][C]98.7358[/C][C]98.4979[/C][C]0.237899[/C][C]0.104184[/C][/ROW]
[ROW][C]86[/C][C]98.98[/C][C]98.8495[/C][C]98.8096[/C][C]0.0399306[/C][C]0.130486[/C][/ROW]
[ROW][C]87[/C][C]100.04[/C][C]99.2569[/C][C]99.085[/C][C]0.171858[/C][C]0.783142[/C][/ROW]
[ROW][C]88[/C][C]99.47[/C][C]99.5252[/C][C]99.3721[/C][C]0.15316[/C][C]-0.0552431[/C][/ROW]
[ROW][C]89[/C][C]99.84[/C][C]99.613[/C][C]99.6321[/C][C]-0.0190799[/C][C]0.226997[/C][/ROW]
[ROW][C]90[/C][C]99.52[/C][C]99.5279[/C][C]99.8683[/C][C]-0.340434[/C][C]-0.00789931[/C][/ROW]
[ROW][C]91[/C][C]99.81[/C][C]99.791[/C][C]100.127[/C][C]-0.335694[/C][C]0.0190278[/C][/ROW]
[ROW][C]92[/C][C]99.55[/C][C]99.6653[/C][C]100.37[/C][C]-0.704236[/C][C]-0.115347[/C][/ROW]
[ROW][C]93[/C][C]100.21[/C][C]100.71[/C][C]100.562[/C][C]0.147535[/C][C]-0.499618[/C][/ROW]
[ROW][C]94[/C][C]101.44[/C][C]101.197[/C][C]100.75[/C][C]0.447535[/C][C]0.242882[/C][/ROW]
[ROW][C]95[/C][C]101[/C][C]101.14[/C][C]100.951[/C][C]0.188941[/C][C]-0.140191[/C][/ROW]
[ROW][C]96[/C][C]101.32[/C][C]101.148[/C][C]101.135[/C][C]0.0125868[/C][C]0.172413[/C][/ROW]
[ROW][C]97[/C][C]101.84[/C][C]101.546[/C][C]101.308[/C][C]0.237899[/C][C]0.293767[/C][/ROW]
[ROW][C]98[/C][C]101.81[/C][C]101.525[/C][C]101.485[/C][C]0.0399306[/C][C]0.285069[/C][/ROW]
[ROW][C]99[/C][C]101.83[/C][C]101.841[/C][C]101.669[/C][C]0.171858[/C][C]-0.0110243[/C][/ROW]
[ROW][C]100[/C][C]102.18[/C][C]101.962[/C][C]101.809[/C][C]0.15316[/C][C]0.21809[/C][/ROW]
[ROW][C]101[/C][C]101.97[/C][C]101.911[/C][C]101.93[/C][C]-0.0190799[/C][C]0.0594965[/C][/ROW]
[ROW][C]102[/C][C]101.8[/C][C]101.722[/C][C]102.062[/C][C]-0.340434[/C][C]0.0783507[/C][/ROW]
[ROW][C]103[/C][C]101.69[/C][C]NA[/C][C]NA[/C][C]-0.335694[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.91[/C][C]NA[/C][C]NA[/C][C]-0.704236[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]102.27[/C][C]NA[/C][C]NA[/C][C]0.147535[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]102.73[/C][C]NA[/C][C]NA[/C][C]0.447535[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]102.61[/C][C]NA[/C][C]NA[/C][C]0.188941[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]102.89[/C][C]NA[/C][C]NA[/C][C]0.0125868[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284142&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284142&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	83.36	NA	NA	0.237899	NA
2	83.61	NA	NA	0.0399306	NA
3	83.41	NA	NA	0.171858	NA
4	83.64	NA	NA	0.15316	NA
5	84.06	NA	NA	-0.0190799	NA
6	83.93	NA	NA	-0.340434	NA
7	84.1	83.6706	84.0063	-0.335694	0.429444
8	84.37	83.3753	84.0796	-0.704236	0.994653
9	84.18	84.2913	84.1437	0.147535	-0.111285
10	84.11	84.6717	84.2242	0.447535	-0.561701
11	84.56	84.4981	84.3092	0.188941	0.0618924
12	84.2	84.4201	84.4075	0.0125868	-0.220087
13	84.45	84.7479	84.51	0.237899	-0.297899
14	84.28	84.622	84.5821	0.0399306	-0.342014
15	84.28	84.8698	84.6979	0.171858	-0.589774
16	84.7	85.0419	84.8887	0.15316	-0.34191
17	85.04	85.0484	85.0675	-0.0190799	-0.00842014
18	85.31	84.9137	85.2542	-0.340434	0.396267
19	85.18	85.1522	85.4879	-0.335694	0.0277778
20	85.02	85.0324	85.7367	-0.704236	-0.0124306
21	86.31	86.1338	85.9863	0.147535	0.176215
22	86.56	86.6846	86.2371	0.447535	-0.124618
23	86.4	86.6473	86.4583	0.188941	-0.247274
24	86.84	86.6426	86.63	0.0125868	0.197413
25	87.42	87.0412	86.8033	0.237899	0.378767
26	87.28	87.0403	87.0004	0.0399306	0.239653
27	87.27	87.3769	87.205	0.171858	-0.106858
28	87.73	87.5798	87.4267	0.15316	0.150174
29	87.32	87.6263	87.6454	-0.0190799	-0.306337
30	87.15	87.4925	87.8329	-0.340434	-0.342483
31	87.5	87.6635	87.9992	-0.335694	-0.163472
32	87.43	87.4699	88.1742	-0.704236	-0.0399306
33	88.81	88.5021	88.3546	0.147535	0.307882
34	89.38	88.9534	88.5058	0.447535	0.426632
35	88.83	88.8494	88.6604	0.188941	-0.0193576
36	88.91	88.8355	88.8229	0.0125868	0.0744965
37	89.34	89.2116	88.9738	0.237899	0.128351
38	89.56	89.1516	89.1117	0.0399306	0.408403
39	89.32	89.3981	89.2263	0.171858	-0.0781076
40	89.31	89.4794	89.3262	0.15316	-0.16941
41	89.45	89.4005	89.4196	-0.0190799	0.0494965
42	88.92	89.1687	89.5092	-0.340434	-0.248733
43	89.35	89.2568	89.5925	-0.335694	0.0931944
44	88.89	88.9574	89.6617	-0.704236	-0.0674306
45	90.1	89.8913	89.7437	0.147535	0.208715
46	90.49	90.318	89.8704	0.447535	0.172049
47	89.96	90.1889	90	0.188941	-0.228941
48	89.93	90.1597	90.1471	0.0125868	-0.22967
49	90.32	90.5512	90.3133	0.237899	-0.231233
50	90.24	90.5116	90.4717	0.0399306	-0.271597
51	90.61	90.8019	90.63	0.171858	-0.191858
52	91.06	90.9498	90.7967	0.15316	0.110174
53	90.81	90.9547	90.9738	-0.0190799	-0.14467
54	91.09	90.8096	91.15	-0.340434	0.280434
55	91.17	90.9997	91.3354	-0.335694	0.170278
56	90.87	90.8078	91.5121	-0.704236	0.0621528
57	91.92	91.8271	91.6796	0.147535	0.0928819
58	92.67	92.28	91.8325	0.447535	0.389965
59	92.03	92.1698	91.9808	0.188941	-0.139774
60	92.09	92.1218	92.1092	0.0125868	-0.0317535
61	92.61	92.4525	92.2146	0.237899	0.157517
62	92.19	92.3562	92.3162	0.0399306	-0.166181
63	92.68	92.6098	92.4379	0.171858	0.0702257
64	92.66	92.7273	92.5742	0.15316	-0.0673264
65	92.77	92.7159	92.735	-0.0190799	0.0540799
66	92.21	92.5979	92.9383	-0.340434	-0.387899
67	92.58	92.7756	93.1112	-0.335694	-0.195556
68	91.9	92.5853	93.2896	-0.704236	-0.685347
69	93.81	93.663	93.5154	0.147535	0.147049
70	94.05	94.2171	93.7696	0.447535	-0.167118
71	94.51	94.2239	94.035	0.188941	0.286059
72	94.49	94.3409	94.3283	0.0125868	0.14908
73	94.36	94.8629	94.625	0.237899	-0.502899
74	94.72	94.9733	94.9333	0.0399306	-0.253264
75	95.57	95.4152	95.2433	0.171858	0.154809
76	95.87	95.684	95.5308	0.15316	0.186007
77	95.93	95.8301	95.8492	-0.0190799	0.0999132
78	96.09	95.8275	96.1679	-0.340434	0.262517
79	95.82	96.1701	96.5058	-0.335694	-0.350139
80	96.06	96.1658	96.87	-0.704236	-0.105764
81	97.09	97.3813	97.2337	0.147535	-0.291285
82	97.67	98.0175	97.57	0.447535	-0.347535
83	98.53	98.0719	97.8829	0.188941	0.458142
84	98.12	98.2013	98.1887	0.0125868	-0.0813368
85	98.84	98.7358	98.4979	0.237899	0.104184
86	98.98	98.8495	98.8096	0.0399306	0.130486
87	100.04	99.2569	99.085	0.171858	0.783142
88	99.47	99.5252	99.3721	0.15316	-0.0552431
89	99.84	99.613	99.6321	-0.0190799	0.226997
90	99.52	99.5279	99.8683	-0.340434	-0.00789931
91	99.81	99.791	100.127	-0.335694	0.0190278
92	99.55	99.6653	100.37	-0.704236	-0.115347
93	100.21	100.71	100.562	0.147535	-0.499618
94	101.44	101.197	100.75	0.447535	0.242882
95	101	101.14	100.951	0.188941	-0.140191
96	101.32	101.148	101.135	0.0125868	0.172413
97	101.84	101.546	101.308	0.237899	0.293767
98	101.81	101.525	101.485	0.0399306	0.285069
99	101.83	101.841	101.669	0.171858	-0.0110243
100	102.18	101.962	101.809	0.15316	0.21809
101	101.97	101.911	101.93	-0.0190799	0.0594965
102	101.8	101.722	102.062	-0.340434	0.0783507
103	101.69	NA	NA	-0.335694	NA
104	101.91	NA	NA	-0.704236	NA
105	102.27	NA	NA	0.147535	NA
106	102.73	NA	NA	0.447535	NA
107	102.61	NA	NA	0.188941	NA
108	102.89	NA	NA	0.0125868	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