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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 24 Nov 2015 16:21:51 +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/24/t14483832351nkhy909kbotuvm.htm/, Retrieved Tue, 14 May 2024 09:07:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284042, Retrieved Tue, 14 May 2024 09:07:35 +0000

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Estimated Impact

107

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-       [Classical Decomposition] [] [2015-11-24 16:21:51] [e9dd6d750d12fbfd669e11323be8eb07] [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	'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284042&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284042&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284042&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	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	82.75	NA	NA	1.00936	NA
2	83.4	NA	NA	1.00965	NA
3	84.12	NA	NA	1.01571	NA
4	83.88	NA	NA	1.00902	NA
5	83.61	NA	NA	0.99702	NA
6	83.58	NA	NA	0.988086	NA
7	83.58	82.2105	83.6208	0.983134	1.01666
8	83.27	83.1018	83.7383	0.992398	1.00202
9	83.59	84.0102	83.9483	1.00074	0.994998
10	83.64	84.415	84.26	1.00184	0.990819
11	83.72	84.6617	84.6529	1.0001	0.988876
12	83.88	84.4739	85.0746	0.992939	0.99297
13	83.61	86.2849	85.485	1.00936	0.968999
14	85.36	86.7604	85.9308	1.00965	0.983859
15	87.2	87.7847	86.4267	1.01571	0.993339
16	88.28	87.7093	86.9254	1.00902	1.00651
17	88.64	87.1117	87.3721	0.99702	1.01754
18	88.67	86.8243	87.8712	0.988086	1.02126
19	88.34	87.1172	88.6117	0.983134	1.01404
20	89.21	88.8444	89.525	0.992398	1.00411
21	89.55	90.515	90.4483	1.00074	0.989339
22	89.65	91.4508	91.2829	1.00184	0.980308
23	88.43	92.0062	91.9967	1.0001	0.96113
24	91.15	91.9822	92.6362	0.992939	0.990953
25	94.11	94.099	93.2267	1.00936	1.00012
26	96.78	94.6016	93.6971	1.00965	1.02303
27	97.94	95.6188	94.1396	1.01571	1.02428
28	97.57	95.4257	94.5729	1.00902	1.02247
29	96.48	94.7023	94.9854	0.99702	1.01877
30	96.18	94.1374	95.2725	0.988086	1.0217
31	95	93.7136	95.3212	0.983134	1.01373
32	93.84	94.3973	95.1204	0.992398	0.994096
33	95.54	94.7273	94.6575	1.00074	1.00858
34	94.06	94.3015	94.1283	1.00184	0.997439
35	93.92	93.5739	93.5642	1.0001	1.0037
36	92.55	92.3545	93.0113	0.992939	1.00212
37	93.88	93.4968	92.63	1.00936	1.0041
38	92.19	93.4653	92.5717	1.00965	0.986355
39	91.42	94.1888	92.7317	1.01571	0.970604
40	91.39	93.8374	92.9988	1.00902	0.973919
41	89.12	93.1619	93.4404	0.99702	0.956614
42	90.27	92.8846	94.0046	0.988086	0.971851
43	91.76	93.0164	94.6121	0.983134	0.986493
44	95.68	94.4676	95.1912	0.992398	1.01283
45	97.54	96.0103	95.9396	1.00074	1.01593
46	98.47	97.0311	96.8529	1.00184	1.01483
47	100.11	97.7848	97.7746	1.0001	1.02378
48	99.9	97.9878	98.6846	0.992939	1.01951
49	101.11	100.369	99.4387	1.00936	1.00738
50	98.86	100.849	99.8846	1.00965	0.980279
51	102.71	101.575	100.003	1.01571	1.01118
52	102.02	100.818	99.9171	1.00902	1.01192
53	100.61	99.2961	99.5929	0.99702	1.01323
54	100.62	97.8798	99.06	0.988086	1.028
55	99.51	96.8969	98.5592	0.983134	1.02697
56	98.63	97.4419	98.1883	0.992398	1.01219
57	97.44	97.7061	97.6342	1.00074	0.997276
58	96.5	96.9989	96.8208	1.00184	0.994856
59	94.3	96.0363	96.0262	1.0001	0.981921
60	92.92	94.5787	95.2512	0.992939	0.982462
61	96.07	95.3645	94.4804	1.00936	1.0074
62	95	94.9802	94.0721	1.00965	1.00021
63	93.27	95.5816	94.1029	1.01571	0.975815
64	91.94	95.1562	94.3058	1.00902	0.966201
65	91.62	94.4045	94.6867	0.99702	0.970505
66	91.01	94.0588	95.1929	0.988086	0.967586
67	90.62	94.0511	95.6646	0.983134	0.963518
68	97.72	95.429	96.16	0.992398	1.02401
69	99.09	96.9331	96.8617	1.00074	1.02225
70	99.72	97.8451	97.6654	1.00184	1.01916
71	100.22	98.3723	98.3621	1.0001	1.01878
72	99.15	98.1794	98.8775	0.992939	1.00989
73	101.16	100.175	99.2458	1.00936	1.00984
74	101.8	100.287	99.3283	1.00965	1.01508
75	103.31	100.86	99.2996	1.01571	1.02429
76	101.19	100.372	99.4754	1.00902	1.00815
77	99.09	99.4411	99.7383	0.99702	0.996469
78	95.91	98.76	99.9508	0.988086	0.971142
79	94.56	98.4306	100.119	0.983134	0.960677
80	95.76	99.5797	100.342	0.992398	0.961642
81	100.36	100.61	100.535	1.00074	0.99752
82	102.67	100.922	100.737	1.00184	1.01732
83	103.58	101.081	101.071	1.0001	1.02472
84	100.89	100.764	101.48	0.992939	1.00125
85	103.46	102.846	101.892	1.00936	1.00597
86	104.86	103.118	102.132	1.00965	1.01689
87	104.88	103.56	101.958	1.01571	1.01275
88	104.46	102.365	101.45	1.00902	1.02046
89	103.83	100.532	100.832	0.99702	1.03281
90	101	99.0597	100.254	0.988086	1.01959
91	99.36	97.9829	99.6637	0.983134	1.01405
92	96.71	98.1606	98.9125	0.992398	0.985222
93	95.23	98.1515	98.0792	1.00074	0.970235
94	95.62	97.4322	97.2533	1.00184	0.9814
95	95.8	96.4534	96.4433	1.0001	0.993226
96	94.79	95.0772	95.7533	0.992939	0.996979
97	95.39	96.127	95.2358	1.00936	0.992333
98	94.9	95.8174	94.9013	1.00965	0.990426
99	94.84	96.3933	94.9021	1.01571	0.983885
100	94.68	95.9752	95.1175	1.00902	0.986505
101	94.17	95.1028	95.3871	0.99702	0.990192
102	94.1	94.5714	95.7117	0.988086	0.995016
103	93.84	NA	NA	0.983134	NA
104	94.2	NA	NA	0.992398	NA
105	97.76	NA	NA	1.00074	NA
106	98.26	NA	NA	1.00184	NA
107	99.63	NA	NA	1.0001	NA
108	98.75	NA	NA	0.992939	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 82.75 & NA & NA & 1.00936 & NA \tabularnewline
2 & 83.4 & NA & NA & 1.00965 & NA \tabularnewline
3 & 84.12 & NA & NA & 1.01571 & NA \tabularnewline
4 & 83.88 & NA & NA & 1.00902 & NA \tabularnewline
5 & 83.61 & NA & NA & 0.99702 & NA \tabularnewline
6 & 83.58 & NA & NA & 0.988086 & NA \tabularnewline
7 & 83.58 & 82.2105 & 83.6208 & 0.983134 & 1.01666 \tabularnewline
8 & 83.27 & 83.1018 & 83.7383 & 0.992398 & 1.00202 \tabularnewline
9 & 83.59 & 84.0102 & 83.9483 & 1.00074 & 0.994998 \tabularnewline
10 & 83.64 & 84.415 & 84.26 & 1.00184 & 0.990819 \tabularnewline
11 & 83.72 & 84.6617 & 84.6529 & 1.0001 & 0.988876 \tabularnewline
12 & 83.88 & 84.4739 & 85.0746 & 0.992939 & 0.99297 \tabularnewline
13 & 83.61 & 86.2849 & 85.485 & 1.00936 & 0.968999 \tabularnewline
14 & 85.36 & 86.7604 & 85.9308 & 1.00965 & 0.983859 \tabularnewline
15 & 87.2 & 87.7847 & 86.4267 & 1.01571 & 0.993339 \tabularnewline
16 & 88.28 & 87.7093 & 86.9254 & 1.00902 & 1.00651 \tabularnewline
17 & 88.64 & 87.1117 & 87.3721 & 0.99702 & 1.01754 \tabularnewline
18 & 88.67 & 86.8243 & 87.8712 & 0.988086 & 1.02126 \tabularnewline
19 & 88.34 & 87.1172 & 88.6117 & 0.983134 & 1.01404 \tabularnewline
20 & 89.21 & 88.8444 & 89.525 & 0.992398 & 1.00411 \tabularnewline
21 & 89.55 & 90.515 & 90.4483 & 1.00074 & 0.989339 \tabularnewline
22 & 89.65 & 91.4508 & 91.2829 & 1.00184 & 0.980308 \tabularnewline
23 & 88.43 & 92.0062 & 91.9967 & 1.0001 & 0.96113 \tabularnewline
24 & 91.15 & 91.9822 & 92.6362 & 0.992939 & 0.990953 \tabularnewline
25 & 94.11 & 94.099 & 93.2267 & 1.00936 & 1.00012 \tabularnewline
26 & 96.78 & 94.6016 & 93.6971 & 1.00965 & 1.02303 \tabularnewline
27 & 97.94 & 95.6188 & 94.1396 & 1.01571 & 1.02428 \tabularnewline
28 & 97.57 & 95.4257 & 94.5729 & 1.00902 & 1.02247 \tabularnewline
29 & 96.48 & 94.7023 & 94.9854 & 0.99702 & 1.01877 \tabularnewline
30 & 96.18 & 94.1374 & 95.2725 & 0.988086 & 1.0217 \tabularnewline
31 & 95 & 93.7136 & 95.3212 & 0.983134 & 1.01373 \tabularnewline
32 & 93.84 & 94.3973 & 95.1204 & 0.992398 & 0.994096 \tabularnewline
33 & 95.54 & 94.7273 & 94.6575 & 1.00074 & 1.00858 \tabularnewline
34 & 94.06 & 94.3015 & 94.1283 & 1.00184 & 0.997439 \tabularnewline
35 & 93.92 & 93.5739 & 93.5642 & 1.0001 & 1.0037 \tabularnewline
36 & 92.55 & 92.3545 & 93.0113 & 0.992939 & 1.00212 \tabularnewline
37 & 93.88 & 93.4968 & 92.63 & 1.00936 & 1.0041 \tabularnewline
38 & 92.19 & 93.4653 & 92.5717 & 1.00965 & 0.986355 \tabularnewline
39 & 91.42 & 94.1888 & 92.7317 & 1.01571 & 0.970604 \tabularnewline
40 & 91.39 & 93.8374 & 92.9988 & 1.00902 & 0.973919 \tabularnewline
41 & 89.12 & 93.1619 & 93.4404 & 0.99702 & 0.956614 \tabularnewline
42 & 90.27 & 92.8846 & 94.0046 & 0.988086 & 0.971851 \tabularnewline
43 & 91.76 & 93.0164 & 94.6121 & 0.983134 & 0.986493 \tabularnewline
44 & 95.68 & 94.4676 & 95.1912 & 0.992398 & 1.01283 \tabularnewline
45 & 97.54 & 96.0103 & 95.9396 & 1.00074 & 1.01593 \tabularnewline
46 & 98.47 & 97.0311 & 96.8529 & 1.00184 & 1.01483 \tabularnewline
47 & 100.11 & 97.7848 & 97.7746 & 1.0001 & 1.02378 \tabularnewline
48 & 99.9 & 97.9878 & 98.6846 & 0.992939 & 1.01951 \tabularnewline
49 & 101.11 & 100.369 & 99.4387 & 1.00936 & 1.00738 \tabularnewline
50 & 98.86 & 100.849 & 99.8846 & 1.00965 & 0.980279 \tabularnewline
51 & 102.71 & 101.575 & 100.003 & 1.01571 & 1.01118 \tabularnewline
52 & 102.02 & 100.818 & 99.9171 & 1.00902 & 1.01192 \tabularnewline
53 & 100.61 & 99.2961 & 99.5929 & 0.99702 & 1.01323 \tabularnewline
54 & 100.62 & 97.8798 & 99.06 & 0.988086 & 1.028 \tabularnewline
55 & 99.51 & 96.8969 & 98.5592 & 0.983134 & 1.02697 \tabularnewline
56 & 98.63 & 97.4419 & 98.1883 & 0.992398 & 1.01219 \tabularnewline
57 & 97.44 & 97.7061 & 97.6342 & 1.00074 & 0.997276 \tabularnewline
58 & 96.5 & 96.9989 & 96.8208 & 1.00184 & 0.994856 \tabularnewline
59 & 94.3 & 96.0363 & 96.0262 & 1.0001 & 0.981921 \tabularnewline
60 & 92.92 & 94.5787 & 95.2512 & 0.992939 & 0.982462 \tabularnewline
61 & 96.07 & 95.3645 & 94.4804 & 1.00936 & 1.0074 \tabularnewline
62 & 95 & 94.9802 & 94.0721 & 1.00965 & 1.00021 \tabularnewline
63 & 93.27 & 95.5816 & 94.1029 & 1.01571 & 0.975815 \tabularnewline
64 & 91.94 & 95.1562 & 94.3058 & 1.00902 & 0.966201 \tabularnewline
65 & 91.62 & 94.4045 & 94.6867 & 0.99702 & 0.970505 \tabularnewline
66 & 91.01 & 94.0588 & 95.1929 & 0.988086 & 0.967586 \tabularnewline
67 & 90.62 & 94.0511 & 95.6646 & 0.983134 & 0.963518 \tabularnewline
68 & 97.72 & 95.429 & 96.16 & 0.992398 & 1.02401 \tabularnewline
69 & 99.09 & 96.9331 & 96.8617 & 1.00074 & 1.02225 \tabularnewline
70 & 99.72 & 97.8451 & 97.6654 & 1.00184 & 1.01916 \tabularnewline
71 & 100.22 & 98.3723 & 98.3621 & 1.0001 & 1.01878 \tabularnewline
72 & 99.15 & 98.1794 & 98.8775 & 0.992939 & 1.00989 \tabularnewline
73 & 101.16 & 100.175 & 99.2458 & 1.00936 & 1.00984 \tabularnewline
74 & 101.8 & 100.287 & 99.3283 & 1.00965 & 1.01508 \tabularnewline
75 & 103.31 & 100.86 & 99.2996 & 1.01571 & 1.02429 \tabularnewline
76 & 101.19 & 100.372 & 99.4754 & 1.00902 & 1.00815 \tabularnewline
77 & 99.09 & 99.4411 & 99.7383 & 0.99702 & 0.996469 \tabularnewline
78 & 95.91 & 98.76 & 99.9508 & 0.988086 & 0.971142 \tabularnewline
79 & 94.56 & 98.4306 & 100.119 & 0.983134 & 0.960677 \tabularnewline
80 & 95.76 & 99.5797 & 100.342 & 0.992398 & 0.961642 \tabularnewline
81 & 100.36 & 100.61 & 100.535 & 1.00074 & 0.99752 \tabularnewline
82 & 102.67 & 100.922 & 100.737 & 1.00184 & 1.01732 \tabularnewline
83 & 103.58 & 101.081 & 101.071 & 1.0001 & 1.02472 \tabularnewline
84 & 100.89 & 100.764 & 101.48 & 0.992939 & 1.00125 \tabularnewline
85 & 103.46 & 102.846 & 101.892 & 1.00936 & 1.00597 \tabularnewline
86 & 104.86 & 103.118 & 102.132 & 1.00965 & 1.01689 \tabularnewline
87 & 104.88 & 103.56 & 101.958 & 1.01571 & 1.01275 \tabularnewline
88 & 104.46 & 102.365 & 101.45 & 1.00902 & 1.02046 \tabularnewline
89 & 103.83 & 100.532 & 100.832 & 0.99702 & 1.03281 \tabularnewline
90 & 101 & 99.0597 & 100.254 & 0.988086 & 1.01959 \tabularnewline
91 & 99.36 & 97.9829 & 99.6637 & 0.983134 & 1.01405 \tabularnewline
92 & 96.71 & 98.1606 & 98.9125 & 0.992398 & 0.985222 \tabularnewline
93 & 95.23 & 98.1515 & 98.0792 & 1.00074 & 0.970235 \tabularnewline
94 & 95.62 & 97.4322 & 97.2533 & 1.00184 & 0.9814 \tabularnewline
95 & 95.8 & 96.4534 & 96.4433 & 1.0001 & 0.993226 \tabularnewline
96 & 94.79 & 95.0772 & 95.7533 & 0.992939 & 0.996979 \tabularnewline
97 & 95.39 & 96.127 & 95.2358 & 1.00936 & 0.992333 \tabularnewline
98 & 94.9 & 95.8174 & 94.9013 & 1.00965 & 0.990426 \tabularnewline
99 & 94.84 & 96.3933 & 94.9021 & 1.01571 & 0.983885 \tabularnewline
100 & 94.68 & 95.9752 & 95.1175 & 1.00902 & 0.986505 \tabularnewline
101 & 94.17 & 95.1028 & 95.3871 & 0.99702 & 0.990192 \tabularnewline
102 & 94.1 & 94.5714 & 95.7117 & 0.988086 & 0.995016 \tabularnewline
103 & 93.84 & NA & NA & 0.983134 & NA \tabularnewline
104 & 94.2 & NA & NA & 0.992398 & NA \tabularnewline
105 & 97.76 & NA & NA & 1.00074 & NA \tabularnewline
106 & 98.26 & NA & NA & 1.00184 & NA \tabularnewline
107 & 99.63 & NA & NA & 1.0001 & NA \tabularnewline
108 & 98.75 & NA & NA & 0.992939 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284042&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]82.75[/C][C]NA[/C][C]NA[/C][C]1.00936[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]83.4[/C][C]NA[/C][C]NA[/C][C]1.00965[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]84.12[/C][C]NA[/C][C]NA[/C][C]1.01571[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]83.88[/C][C]NA[/C][C]NA[/C][C]1.00902[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]83.61[/C][C]NA[/C][C]NA[/C][C]0.99702[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]83.58[/C][C]NA[/C][C]NA[/C][C]0.988086[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]83.58[/C][C]82.2105[/C][C]83.6208[/C][C]0.983134[/C][C]1.01666[/C][/ROW]
[ROW][C]8[/C][C]83.27[/C][C]83.1018[/C][C]83.7383[/C][C]0.992398[/C][C]1.00202[/C][/ROW]
[ROW][C]9[/C][C]83.59[/C][C]84.0102[/C][C]83.9483[/C][C]1.00074[/C][C]0.994998[/C][/ROW]
[ROW][C]10[/C][C]83.64[/C][C]84.415[/C][C]84.26[/C][C]1.00184[/C][C]0.990819[/C][/ROW]
[ROW][C]11[/C][C]83.72[/C][C]84.6617[/C][C]84.6529[/C][C]1.0001[/C][C]0.988876[/C][/ROW]
[ROW][C]12[/C][C]83.88[/C][C]84.4739[/C][C]85.0746[/C][C]0.992939[/C][C]0.99297[/C][/ROW]
[ROW][C]13[/C][C]83.61[/C][C]86.2849[/C][C]85.485[/C][C]1.00936[/C][C]0.968999[/C][/ROW]
[ROW][C]14[/C][C]85.36[/C][C]86.7604[/C][C]85.9308[/C][C]1.00965[/C][C]0.983859[/C][/ROW]
[ROW][C]15[/C][C]87.2[/C][C]87.7847[/C][C]86.4267[/C][C]1.01571[/C][C]0.993339[/C][/ROW]
[ROW][C]16[/C][C]88.28[/C][C]87.7093[/C][C]86.9254[/C][C]1.00902[/C][C]1.00651[/C][/ROW]
[ROW][C]17[/C][C]88.64[/C][C]87.1117[/C][C]87.3721[/C][C]0.99702[/C][C]1.01754[/C][/ROW]
[ROW][C]18[/C][C]88.67[/C][C]86.8243[/C][C]87.8712[/C][C]0.988086[/C][C]1.02126[/C][/ROW]
[ROW][C]19[/C][C]88.34[/C][C]87.1172[/C][C]88.6117[/C][C]0.983134[/C][C]1.01404[/C][/ROW]
[ROW][C]20[/C][C]89.21[/C][C]88.8444[/C][C]89.525[/C][C]0.992398[/C][C]1.00411[/C][/ROW]
[ROW][C]21[/C][C]89.55[/C][C]90.515[/C][C]90.4483[/C][C]1.00074[/C][C]0.989339[/C][/ROW]
[ROW][C]22[/C][C]89.65[/C][C]91.4508[/C][C]91.2829[/C][C]1.00184[/C][C]0.980308[/C][/ROW]
[ROW][C]23[/C][C]88.43[/C][C]92.0062[/C][C]91.9967[/C][C]1.0001[/C][C]0.96113[/C][/ROW]
[ROW][C]24[/C][C]91.15[/C][C]91.9822[/C][C]92.6362[/C][C]0.992939[/C][C]0.990953[/C][/ROW]
[ROW][C]25[/C][C]94.11[/C][C]94.099[/C][C]93.2267[/C][C]1.00936[/C][C]1.00012[/C][/ROW]
[ROW][C]26[/C][C]96.78[/C][C]94.6016[/C][C]93.6971[/C][C]1.00965[/C][C]1.02303[/C][/ROW]
[ROW][C]27[/C][C]97.94[/C][C]95.6188[/C][C]94.1396[/C][C]1.01571[/C][C]1.02428[/C][/ROW]
[ROW][C]28[/C][C]97.57[/C][C]95.4257[/C][C]94.5729[/C][C]1.00902[/C][C]1.02247[/C][/ROW]
[ROW][C]29[/C][C]96.48[/C][C]94.7023[/C][C]94.9854[/C][C]0.99702[/C][C]1.01877[/C][/ROW]
[ROW][C]30[/C][C]96.18[/C][C]94.1374[/C][C]95.2725[/C][C]0.988086[/C][C]1.0217[/C][/ROW]
[ROW][C]31[/C][C]95[/C][C]93.7136[/C][C]95.3212[/C][C]0.983134[/C][C]1.01373[/C][/ROW]
[ROW][C]32[/C][C]93.84[/C][C]94.3973[/C][C]95.1204[/C][C]0.992398[/C][C]0.994096[/C][/ROW]
[ROW][C]33[/C][C]95.54[/C][C]94.7273[/C][C]94.6575[/C][C]1.00074[/C][C]1.00858[/C][/ROW]
[ROW][C]34[/C][C]94.06[/C][C]94.3015[/C][C]94.1283[/C][C]1.00184[/C][C]0.997439[/C][/ROW]
[ROW][C]35[/C][C]93.92[/C][C]93.5739[/C][C]93.5642[/C][C]1.0001[/C][C]1.0037[/C][/ROW]
[ROW][C]36[/C][C]92.55[/C][C]92.3545[/C][C]93.0113[/C][C]0.992939[/C][C]1.00212[/C][/ROW]
[ROW][C]37[/C][C]93.88[/C][C]93.4968[/C][C]92.63[/C][C]1.00936[/C][C]1.0041[/C][/ROW]
[ROW][C]38[/C][C]92.19[/C][C]93.4653[/C][C]92.5717[/C][C]1.00965[/C][C]0.986355[/C][/ROW]
[ROW][C]39[/C][C]91.42[/C][C]94.1888[/C][C]92.7317[/C][C]1.01571[/C][C]0.970604[/C][/ROW]
[ROW][C]40[/C][C]91.39[/C][C]93.8374[/C][C]92.9988[/C][C]1.00902[/C][C]0.973919[/C][/ROW]
[ROW][C]41[/C][C]89.12[/C][C]93.1619[/C][C]93.4404[/C][C]0.99702[/C][C]0.956614[/C][/ROW]
[ROW][C]42[/C][C]90.27[/C][C]92.8846[/C][C]94.0046[/C][C]0.988086[/C][C]0.971851[/C][/ROW]
[ROW][C]43[/C][C]91.76[/C][C]93.0164[/C][C]94.6121[/C][C]0.983134[/C][C]0.986493[/C][/ROW]
[ROW][C]44[/C][C]95.68[/C][C]94.4676[/C][C]95.1912[/C][C]0.992398[/C][C]1.01283[/C][/ROW]
[ROW][C]45[/C][C]97.54[/C][C]96.0103[/C][C]95.9396[/C][C]1.00074[/C][C]1.01593[/C][/ROW]
[ROW][C]46[/C][C]98.47[/C][C]97.0311[/C][C]96.8529[/C][C]1.00184[/C][C]1.01483[/C][/ROW]
[ROW][C]47[/C][C]100.11[/C][C]97.7848[/C][C]97.7746[/C][C]1.0001[/C][C]1.02378[/C][/ROW]
[ROW][C]48[/C][C]99.9[/C][C]97.9878[/C][C]98.6846[/C][C]0.992939[/C][C]1.01951[/C][/ROW]
[ROW][C]49[/C][C]101.11[/C][C]100.369[/C][C]99.4387[/C][C]1.00936[/C][C]1.00738[/C][/ROW]
[ROW][C]50[/C][C]98.86[/C][C]100.849[/C][C]99.8846[/C][C]1.00965[/C][C]0.980279[/C][/ROW]
[ROW][C]51[/C][C]102.71[/C][C]101.575[/C][C]100.003[/C][C]1.01571[/C][C]1.01118[/C][/ROW]
[ROW][C]52[/C][C]102.02[/C][C]100.818[/C][C]99.9171[/C][C]1.00902[/C][C]1.01192[/C][/ROW]
[ROW][C]53[/C][C]100.61[/C][C]99.2961[/C][C]99.5929[/C][C]0.99702[/C][C]1.01323[/C][/ROW]
[ROW][C]54[/C][C]100.62[/C][C]97.8798[/C][C]99.06[/C][C]0.988086[/C][C]1.028[/C][/ROW]
[ROW][C]55[/C][C]99.51[/C][C]96.8969[/C][C]98.5592[/C][C]0.983134[/C][C]1.02697[/C][/ROW]
[ROW][C]56[/C][C]98.63[/C][C]97.4419[/C][C]98.1883[/C][C]0.992398[/C][C]1.01219[/C][/ROW]
[ROW][C]57[/C][C]97.44[/C][C]97.7061[/C][C]97.6342[/C][C]1.00074[/C][C]0.997276[/C][/ROW]
[ROW][C]58[/C][C]96.5[/C][C]96.9989[/C][C]96.8208[/C][C]1.00184[/C][C]0.994856[/C][/ROW]
[ROW][C]59[/C][C]94.3[/C][C]96.0363[/C][C]96.0262[/C][C]1.0001[/C][C]0.981921[/C][/ROW]
[ROW][C]60[/C][C]92.92[/C][C]94.5787[/C][C]95.2512[/C][C]0.992939[/C][C]0.982462[/C][/ROW]
[ROW][C]61[/C][C]96.07[/C][C]95.3645[/C][C]94.4804[/C][C]1.00936[/C][C]1.0074[/C][/ROW]
[ROW][C]62[/C][C]95[/C][C]94.9802[/C][C]94.0721[/C][C]1.00965[/C][C]1.00021[/C][/ROW]
[ROW][C]63[/C][C]93.27[/C][C]95.5816[/C][C]94.1029[/C][C]1.01571[/C][C]0.975815[/C][/ROW]
[ROW][C]64[/C][C]91.94[/C][C]95.1562[/C][C]94.3058[/C][C]1.00902[/C][C]0.966201[/C][/ROW]
[ROW][C]65[/C][C]91.62[/C][C]94.4045[/C][C]94.6867[/C][C]0.99702[/C][C]0.970505[/C][/ROW]
[ROW][C]66[/C][C]91.01[/C][C]94.0588[/C][C]95.1929[/C][C]0.988086[/C][C]0.967586[/C][/ROW]
[ROW][C]67[/C][C]90.62[/C][C]94.0511[/C][C]95.6646[/C][C]0.983134[/C][C]0.963518[/C][/ROW]
[ROW][C]68[/C][C]97.72[/C][C]95.429[/C][C]96.16[/C][C]0.992398[/C][C]1.02401[/C][/ROW]
[ROW][C]69[/C][C]99.09[/C][C]96.9331[/C][C]96.8617[/C][C]1.00074[/C][C]1.02225[/C][/ROW]
[ROW][C]70[/C][C]99.72[/C][C]97.8451[/C][C]97.6654[/C][C]1.00184[/C][C]1.01916[/C][/ROW]
[ROW][C]71[/C][C]100.22[/C][C]98.3723[/C][C]98.3621[/C][C]1.0001[/C][C]1.01878[/C][/ROW]
[ROW][C]72[/C][C]99.15[/C][C]98.1794[/C][C]98.8775[/C][C]0.992939[/C][C]1.00989[/C][/ROW]
[ROW][C]73[/C][C]101.16[/C][C]100.175[/C][C]99.2458[/C][C]1.00936[/C][C]1.00984[/C][/ROW]
[ROW][C]74[/C][C]101.8[/C][C]100.287[/C][C]99.3283[/C][C]1.00965[/C][C]1.01508[/C][/ROW]
[ROW][C]75[/C][C]103.31[/C][C]100.86[/C][C]99.2996[/C][C]1.01571[/C][C]1.02429[/C][/ROW]
[ROW][C]76[/C][C]101.19[/C][C]100.372[/C][C]99.4754[/C][C]1.00902[/C][C]1.00815[/C][/ROW]
[ROW][C]77[/C][C]99.09[/C][C]99.4411[/C][C]99.7383[/C][C]0.99702[/C][C]0.996469[/C][/ROW]
[ROW][C]78[/C][C]95.91[/C][C]98.76[/C][C]99.9508[/C][C]0.988086[/C][C]0.971142[/C][/ROW]
[ROW][C]79[/C][C]94.56[/C][C]98.4306[/C][C]100.119[/C][C]0.983134[/C][C]0.960677[/C][/ROW]
[ROW][C]80[/C][C]95.76[/C][C]99.5797[/C][C]100.342[/C][C]0.992398[/C][C]0.961642[/C][/ROW]
[ROW][C]81[/C][C]100.36[/C][C]100.61[/C][C]100.535[/C][C]1.00074[/C][C]0.99752[/C][/ROW]
[ROW][C]82[/C][C]102.67[/C][C]100.922[/C][C]100.737[/C][C]1.00184[/C][C]1.01732[/C][/ROW]
[ROW][C]83[/C][C]103.58[/C][C]101.081[/C][C]101.071[/C][C]1.0001[/C][C]1.02472[/C][/ROW]
[ROW][C]84[/C][C]100.89[/C][C]100.764[/C][C]101.48[/C][C]0.992939[/C][C]1.00125[/C][/ROW]
[ROW][C]85[/C][C]103.46[/C][C]102.846[/C][C]101.892[/C][C]1.00936[/C][C]1.00597[/C][/ROW]
[ROW][C]86[/C][C]104.86[/C][C]103.118[/C][C]102.132[/C][C]1.00965[/C][C]1.01689[/C][/ROW]
[ROW][C]87[/C][C]104.88[/C][C]103.56[/C][C]101.958[/C][C]1.01571[/C][C]1.01275[/C][/ROW]
[ROW][C]88[/C][C]104.46[/C][C]102.365[/C][C]101.45[/C][C]1.00902[/C][C]1.02046[/C][/ROW]
[ROW][C]89[/C][C]103.83[/C][C]100.532[/C][C]100.832[/C][C]0.99702[/C][C]1.03281[/C][/ROW]
[ROW][C]90[/C][C]101[/C][C]99.0597[/C][C]100.254[/C][C]0.988086[/C][C]1.01959[/C][/ROW]
[ROW][C]91[/C][C]99.36[/C][C]97.9829[/C][C]99.6637[/C][C]0.983134[/C][C]1.01405[/C][/ROW]
[ROW][C]92[/C][C]96.71[/C][C]98.1606[/C][C]98.9125[/C][C]0.992398[/C][C]0.985222[/C][/ROW]
[ROW][C]93[/C][C]95.23[/C][C]98.1515[/C][C]98.0792[/C][C]1.00074[/C][C]0.970235[/C][/ROW]
[ROW][C]94[/C][C]95.62[/C][C]97.4322[/C][C]97.2533[/C][C]1.00184[/C][C]0.9814[/C][/ROW]
[ROW][C]95[/C][C]95.8[/C][C]96.4534[/C][C]96.4433[/C][C]1.0001[/C][C]0.993226[/C][/ROW]
[ROW][C]96[/C][C]94.79[/C][C]95.0772[/C][C]95.7533[/C][C]0.992939[/C][C]0.996979[/C][/ROW]
[ROW][C]97[/C][C]95.39[/C][C]96.127[/C][C]95.2358[/C][C]1.00936[/C][C]0.992333[/C][/ROW]
[ROW][C]98[/C][C]94.9[/C][C]95.8174[/C][C]94.9013[/C][C]1.00965[/C][C]0.990426[/C][/ROW]
[ROW][C]99[/C][C]94.84[/C][C]96.3933[/C][C]94.9021[/C][C]1.01571[/C][C]0.983885[/C][/ROW]
[ROW][C]100[/C][C]94.68[/C][C]95.9752[/C][C]95.1175[/C][C]1.00902[/C][C]0.986505[/C][/ROW]
[ROW][C]101[/C][C]94.17[/C][C]95.1028[/C][C]95.3871[/C][C]0.99702[/C][C]0.990192[/C][/ROW]
[ROW][C]102[/C][C]94.1[/C][C]94.5714[/C][C]95.7117[/C][C]0.988086[/C][C]0.995016[/C][/ROW]
[ROW][C]103[/C][C]93.84[/C][C]NA[/C][C]NA[/C][C]0.983134[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]94.2[/C][C]NA[/C][C]NA[/C][C]0.992398[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]97.76[/C][C]NA[/C][C]NA[/C][C]1.00074[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]98.26[/C][C]NA[/C][C]NA[/C][C]1.00184[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]99.63[/C][C]NA[/C][C]NA[/C][C]1.0001[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]98.75[/C][C]NA[/C][C]NA[/C][C]0.992939[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284042&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284042&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	82.75	NA	NA	1.00936	NA
2	83.4	NA	NA	1.00965	NA
3	84.12	NA	NA	1.01571	NA
4	83.88	NA	NA	1.00902	NA
5	83.61	NA	NA	0.99702	NA
6	83.58	NA	NA	0.988086	NA
7	83.58	82.2105	83.6208	0.983134	1.01666
8	83.27	83.1018	83.7383	0.992398	1.00202
9	83.59	84.0102	83.9483	1.00074	0.994998
10	83.64	84.415	84.26	1.00184	0.990819
11	83.72	84.6617	84.6529	1.0001	0.988876
12	83.88	84.4739	85.0746	0.992939	0.99297
13	83.61	86.2849	85.485	1.00936	0.968999
14	85.36	86.7604	85.9308	1.00965	0.983859
15	87.2	87.7847	86.4267	1.01571	0.993339
16	88.28	87.7093	86.9254	1.00902	1.00651
17	88.64	87.1117	87.3721	0.99702	1.01754
18	88.67	86.8243	87.8712	0.988086	1.02126
19	88.34	87.1172	88.6117	0.983134	1.01404
20	89.21	88.8444	89.525	0.992398	1.00411
21	89.55	90.515	90.4483	1.00074	0.989339
22	89.65	91.4508	91.2829	1.00184	0.980308
23	88.43	92.0062	91.9967	1.0001	0.96113
24	91.15	91.9822	92.6362	0.992939	0.990953
25	94.11	94.099	93.2267	1.00936	1.00012
26	96.78	94.6016	93.6971	1.00965	1.02303
27	97.94	95.6188	94.1396	1.01571	1.02428
28	97.57	95.4257	94.5729	1.00902	1.02247
29	96.48	94.7023	94.9854	0.99702	1.01877
30	96.18	94.1374	95.2725	0.988086	1.0217
31	95	93.7136	95.3212	0.983134	1.01373
32	93.84	94.3973	95.1204	0.992398	0.994096
33	95.54	94.7273	94.6575	1.00074	1.00858
34	94.06	94.3015	94.1283	1.00184	0.997439
35	93.92	93.5739	93.5642	1.0001	1.0037
36	92.55	92.3545	93.0113	0.992939	1.00212
37	93.88	93.4968	92.63	1.00936	1.0041
38	92.19	93.4653	92.5717	1.00965	0.986355
39	91.42	94.1888	92.7317	1.01571	0.970604
40	91.39	93.8374	92.9988	1.00902	0.973919
41	89.12	93.1619	93.4404	0.99702	0.956614
42	90.27	92.8846	94.0046	0.988086	0.971851
43	91.76	93.0164	94.6121	0.983134	0.986493
44	95.68	94.4676	95.1912	0.992398	1.01283
45	97.54	96.0103	95.9396	1.00074	1.01593
46	98.47	97.0311	96.8529	1.00184	1.01483
47	100.11	97.7848	97.7746	1.0001	1.02378
48	99.9	97.9878	98.6846	0.992939	1.01951
49	101.11	100.369	99.4387	1.00936	1.00738
50	98.86	100.849	99.8846	1.00965	0.980279
51	102.71	101.575	100.003	1.01571	1.01118
52	102.02	100.818	99.9171	1.00902	1.01192
53	100.61	99.2961	99.5929	0.99702	1.01323
54	100.62	97.8798	99.06	0.988086	1.028
55	99.51	96.8969	98.5592	0.983134	1.02697
56	98.63	97.4419	98.1883	0.992398	1.01219
57	97.44	97.7061	97.6342	1.00074	0.997276
58	96.5	96.9989	96.8208	1.00184	0.994856
59	94.3	96.0363	96.0262	1.0001	0.981921
60	92.92	94.5787	95.2512	0.992939	0.982462
61	96.07	95.3645	94.4804	1.00936	1.0074
62	95	94.9802	94.0721	1.00965	1.00021
63	93.27	95.5816	94.1029	1.01571	0.975815
64	91.94	95.1562	94.3058	1.00902	0.966201
65	91.62	94.4045	94.6867	0.99702	0.970505
66	91.01	94.0588	95.1929	0.988086	0.967586
67	90.62	94.0511	95.6646	0.983134	0.963518
68	97.72	95.429	96.16	0.992398	1.02401
69	99.09	96.9331	96.8617	1.00074	1.02225
70	99.72	97.8451	97.6654	1.00184	1.01916
71	100.22	98.3723	98.3621	1.0001	1.01878
72	99.15	98.1794	98.8775	0.992939	1.00989
73	101.16	100.175	99.2458	1.00936	1.00984
74	101.8	100.287	99.3283	1.00965	1.01508
75	103.31	100.86	99.2996	1.01571	1.02429
76	101.19	100.372	99.4754	1.00902	1.00815
77	99.09	99.4411	99.7383	0.99702	0.996469
78	95.91	98.76	99.9508	0.988086	0.971142
79	94.56	98.4306	100.119	0.983134	0.960677
80	95.76	99.5797	100.342	0.992398	0.961642
81	100.36	100.61	100.535	1.00074	0.99752
82	102.67	100.922	100.737	1.00184	1.01732
83	103.58	101.081	101.071	1.0001	1.02472
84	100.89	100.764	101.48	0.992939	1.00125
85	103.46	102.846	101.892	1.00936	1.00597
86	104.86	103.118	102.132	1.00965	1.01689
87	104.88	103.56	101.958	1.01571	1.01275
88	104.46	102.365	101.45	1.00902	1.02046
89	103.83	100.532	100.832	0.99702	1.03281
90	101	99.0597	100.254	0.988086	1.01959
91	99.36	97.9829	99.6637	0.983134	1.01405
92	96.71	98.1606	98.9125	0.992398	0.985222
93	95.23	98.1515	98.0792	1.00074	0.970235
94	95.62	97.4322	97.2533	1.00184	0.9814
95	95.8	96.4534	96.4433	1.0001	0.993226
96	94.79	95.0772	95.7533	0.992939	0.996979
97	95.39	96.127	95.2358	1.00936	0.992333
98	94.9	95.8174	94.9013	1.00965	0.990426
99	94.84	96.3933	94.9021	1.01571	0.983885
100	94.68	95.9752	95.1175	1.00902	0.986505
101	94.17	95.1028	95.3871	0.99702	0.990192
102	94.1	94.5714	95.7117	0.988086	0.995016
103	93.84	NA	NA	0.983134	NA
104	94.2	NA	NA	0.992398	NA
105	97.76	NA	NA	1.00074	NA
106	98.26	NA	NA	1.00184	NA
107	99.63	NA	NA	1.0001	NA
108	98.75	NA	NA	0.992939	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 <- '12'
par1 <- 'multiplicative'
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