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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Thu, 21 Apr 2016 13:16:40 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/21/t1461241037kycn39frvo7ypjf.htm/, Retrieved Fri, 10 May 2024 10:01:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294570, Retrieved Fri, 10 May 2024 10:01:44 +0000

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160

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-       [Classical Decomposition] [oefening 9 oef 3] [2016-04-21 12:16:40] [76c30f62b7052b57088120e90a652e05] [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	'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=294570&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=294570&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294570&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	96.86	NA	NA	-0.0218576	NA
2	96.89	NA	NA	-0.334462	NA
3	96.9	NA	NA	-0.291649	NA
4	96.94	NA	NA	-0.265347	NA
5	96.88	NA	NA	-0.194462	NA
6	96.89	NA	NA	-0.200243	NA
7	96.89	96.7725	96.9958	-0.223316	0.117483
8	96.95	96.9684	97.0225	-0.0541493	-0.0183507
9	97.03	97.1329	97.05	0.082934	-0.102934
10	97.29	97.5206	97.0779	0.442726	-0.230642
11	97.12	97.6389	97.1092	0.529757	-0.518924
12	97.15	97.6751	97.145	0.530069	-0.525069
13	97.18	97.1611	97.1829	-0.0218576	0.018941
14	97.21	96.8864	97.2208	-0.334462	0.323628
15	97.24	96.9638	97.2554	-0.291649	0.276233
16	97.27	97.0317	97.2971	-0.265347	0.238264
17	97.3	97.1639	97.3583	-0.194462	0.136128
18	97.33	97.2306	97.4308	-0.200243	0.0994097
19	97.36	97.2796	97.5029	-0.223316	0.0803993
20	97.39	97.5146	97.5687	-0.0541493	-0.124601
21	97.42	97.7188	97.6358	0.082934	-0.298767
22	97.9	98.1536	97.7108	0.442726	-0.253559
23	97.98	98.3223	97.7925	0.529757	-0.342257
24	98.03	98.4113	97.8812	0.530069	-0.381319
25	98.03	97.9494	97.9713	-0.0218576	0.0806076
26	97.94	97.7255	98.06	-0.334462	0.214462
27	98.12	97.8688	98.1604	-0.291649	0.251233
28	98.19	98.0072	98.2725	-0.265347	0.182847
29	98.34	98.1955	98.39	-0.194462	0.144462
30	98.42	98.3143	98.5146	-0.200243	0.10566
31	98.43	98.4175	98.6408	-0.223316	0.0124826
32	98.45	98.7042	98.7583	-0.0541493	-0.254184
33	98.77	98.95	98.8671	0.082934	-0.180017
34	99.24	99.4177	98.975	0.442726	-0.177726
35	99.46	99.6093	99.0796	0.529757	-0.14934
36	99.54	99.7109	99.1808	0.530069	-0.170903
37	99.55	99.2594	99.2812	-0.0218576	0.290608
38	99.24	99.0514	99.3858	-0.334462	0.188628
39	99.43	99.1934	99.485	-0.291649	0.236649
40	99.47	99.308	99.5733	-0.265347	0.162014
41	99.57	99.4664	99.6608	-0.194462	0.103628
42	99.62	99.5477	99.7479	-0.200243	0.0723264
43	99.64	99.61	99.8333	-0.223316	0.0299826
44	99.75	99.8646	99.9188	-0.0541493	-0.114601
45	99.85	100.08	99.9967	0.082934	-0.229601
46	100.28	100.504	100.061	0.442726	-0.223976
47	100.52	100.645	100.115	0.529757	-0.125174
48	100.57	100.693	100.163	0.530069	-0.123403
49	100.57	100.187	100.209	-0.0218576	0.382691
50	100.27	99.9322	100.267	-0.334462	0.337795
51	100.27	100.045	100.337	-0.291649	0.224983
52	100.18	100.139	100.404	-0.265347	0.0411806
53	100.16	100.268	100.463	-0.194462	-0.108455
54	100.18	100.314	100.514	-0.200243	-0.133507
55	100.18	100.34	100.563	-0.223316	-0.159601
56	100.59	100.556	100.61	-0.0541493	0.0341493
57	100.69	100.743	100.66	0.082934	-0.0533507
58	101.06	101.171	100.728	0.442726	-0.110642
59	101.15	101.344	100.815	0.529757	-0.19434
60	101.16	101.44	100.91	0.530069	-0.280069
61	101.16	100.985	101.007	-0.0218576	0.174774
62	100.81	100.768	101.102	-0.334462	0.0423785
63	100.94	100.913	101.205	-0.291649	0.0266493
64	101.13	101.055	101.321	-0.265347	0.0745139
65	101.29	101.248	101.443	-0.194462	0.0415451
66	101.34	101.371	101.571	-0.200243	-0.0305903
67	101.35	101.478	101.701	-0.223316	-0.127934
68	101.7	101.77	101.824	-0.0541493	-0.0696007
69	102.05	102.017	101.934	0.082934	0.0328993
70	102.48	102.482	102.039	0.442726	-0.00189236
71	102.66	102.672	102.142	0.529757	-0.0122569
72	102.72	102.777	102.247	0.530069	-0.0571528
73	102.73	102.331	102.353	-0.0218576	0.398941
74	102.18	102.126	102.46	-0.334462	0.0544618
75	102.22	102.269	102.561	-0.291649	-0.049184
76	102.37	102.385	102.651	-0.265347	-0.0154861
77	102.53	102.543	102.737	-0.194462	-0.0126215
78	102.61	102.622	102.822	-0.200243	-0.0118403
79	102.62	102.509	102.732	-0.223316	0.110816
80	103	102.418	102.472	-0.0541493	0.582066
81	103.17	102.298	102.215	0.082934	0.872066
82	103.52	102.404	101.961	0.442726	1.11602
83	103.69	102.244	101.714	0.529757	1.44649
84	103.73	101.998	101.468	0.530069	1.7316
85	99.57	101.206	101.227	-0.0218576	-1.63564
86	99.09	100.657	100.991	-0.334462	-1.56679
87	99.14	100.468	100.759	-0.291649	-1.32752
88	99.36	100.271	100.536	-0.265347	-0.910903
89	99.6	100.126	100.32	-0.194462	-0.525538
90	99.65	99.9064	100.107	-0.200243	-0.256424
91	99.8	99.845	100.068	-0.223316	-0.0450174
92	100.15	100.166	100.22	-0.0541493	-0.0162674
93	100.45	100.472	100.389	0.082934	-0.021684
94	100.89	100.989	100.546	0.442726	-0.0989757
95	101.13	101.216	100.686	0.529757	-0.0855903
96	101.17	101.345	100.815	0.530069	-0.175069
97	101.21	100.902	100.924	-0.0218576	0.307691
98	101.1	100.676	101.01	-0.334462	0.424045
99	101.17	100.79	101.082	-0.291649	0.379566
100	101.11	100.864	101.129	-0.265347	0.246181
101	101.2	100.961	101.155	-0.194462	0.239462
102	101.15	100.976	101.177	-0.200243	0.173576
103	100.92	NA	NA	-0.223316	NA
104	101.1	NA	NA	-0.0541493	NA
105	101.22	NA	NA	0.082934	NA
106	101.25	NA	NA	0.442726	NA
107	101.39	NA	NA	0.529757	NA
108	101.43	NA	NA	0.530069	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 96.86 & NA & NA & -0.0218576 & NA \tabularnewline
2 & 96.89 & NA & NA & -0.334462 & NA \tabularnewline
3 & 96.9 & NA & NA & -0.291649 & NA \tabularnewline
4 & 96.94 & NA & NA & -0.265347 & NA \tabularnewline
5 & 96.88 & NA & NA & -0.194462 & NA \tabularnewline
6 & 96.89 & NA & NA & -0.200243 & NA \tabularnewline
7 & 96.89 & 96.7725 & 96.9958 & -0.223316 & 0.117483 \tabularnewline
8 & 96.95 & 96.9684 & 97.0225 & -0.0541493 & -0.0183507 \tabularnewline
9 & 97.03 & 97.1329 & 97.05 & 0.082934 & -0.102934 \tabularnewline
10 & 97.29 & 97.5206 & 97.0779 & 0.442726 & -0.230642 \tabularnewline
11 & 97.12 & 97.6389 & 97.1092 & 0.529757 & -0.518924 \tabularnewline
12 & 97.15 & 97.6751 & 97.145 & 0.530069 & -0.525069 \tabularnewline
13 & 97.18 & 97.1611 & 97.1829 & -0.0218576 & 0.018941 \tabularnewline
14 & 97.21 & 96.8864 & 97.2208 & -0.334462 & 0.323628 \tabularnewline
15 & 97.24 & 96.9638 & 97.2554 & -0.291649 & 0.276233 \tabularnewline
16 & 97.27 & 97.0317 & 97.2971 & -0.265347 & 0.238264 \tabularnewline
17 & 97.3 & 97.1639 & 97.3583 & -0.194462 & 0.136128 \tabularnewline
18 & 97.33 & 97.2306 & 97.4308 & -0.200243 & 0.0994097 \tabularnewline
19 & 97.36 & 97.2796 & 97.5029 & -0.223316 & 0.0803993 \tabularnewline
20 & 97.39 & 97.5146 & 97.5687 & -0.0541493 & -0.124601 \tabularnewline
21 & 97.42 & 97.7188 & 97.6358 & 0.082934 & -0.298767 \tabularnewline
22 & 97.9 & 98.1536 & 97.7108 & 0.442726 & -0.253559 \tabularnewline
23 & 97.98 & 98.3223 & 97.7925 & 0.529757 & -0.342257 \tabularnewline
24 & 98.03 & 98.4113 & 97.8812 & 0.530069 & -0.381319 \tabularnewline
25 & 98.03 & 97.9494 & 97.9713 & -0.0218576 & 0.0806076 \tabularnewline
26 & 97.94 & 97.7255 & 98.06 & -0.334462 & 0.214462 \tabularnewline
27 & 98.12 & 97.8688 & 98.1604 & -0.291649 & 0.251233 \tabularnewline
28 & 98.19 & 98.0072 & 98.2725 & -0.265347 & 0.182847 \tabularnewline
29 & 98.34 & 98.1955 & 98.39 & -0.194462 & 0.144462 \tabularnewline
30 & 98.42 & 98.3143 & 98.5146 & -0.200243 & 0.10566 \tabularnewline
31 & 98.43 & 98.4175 & 98.6408 & -0.223316 & 0.0124826 \tabularnewline
32 & 98.45 & 98.7042 & 98.7583 & -0.0541493 & -0.254184 \tabularnewline
33 & 98.77 & 98.95 & 98.8671 & 0.082934 & -0.180017 \tabularnewline
34 & 99.24 & 99.4177 & 98.975 & 0.442726 & -0.177726 \tabularnewline
35 & 99.46 & 99.6093 & 99.0796 & 0.529757 & -0.14934 \tabularnewline
36 & 99.54 & 99.7109 & 99.1808 & 0.530069 & -0.170903 \tabularnewline
37 & 99.55 & 99.2594 & 99.2812 & -0.0218576 & 0.290608 \tabularnewline
38 & 99.24 & 99.0514 & 99.3858 & -0.334462 & 0.188628 \tabularnewline
39 & 99.43 & 99.1934 & 99.485 & -0.291649 & 0.236649 \tabularnewline
40 & 99.47 & 99.308 & 99.5733 & -0.265347 & 0.162014 \tabularnewline
41 & 99.57 & 99.4664 & 99.6608 & -0.194462 & 0.103628 \tabularnewline
42 & 99.62 & 99.5477 & 99.7479 & -0.200243 & 0.0723264 \tabularnewline
43 & 99.64 & 99.61 & 99.8333 & -0.223316 & 0.0299826 \tabularnewline
44 & 99.75 & 99.8646 & 99.9188 & -0.0541493 & -0.114601 \tabularnewline
45 & 99.85 & 100.08 & 99.9967 & 0.082934 & -0.229601 \tabularnewline
46 & 100.28 & 100.504 & 100.061 & 0.442726 & -0.223976 \tabularnewline
47 & 100.52 & 100.645 & 100.115 & 0.529757 & -0.125174 \tabularnewline
48 & 100.57 & 100.693 & 100.163 & 0.530069 & -0.123403 \tabularnewline
49 & 100.57 & 100.187 & 100.209 & -0.0218576 & 0.382691 \tabularnewline
50 & 100.27 & 99.9322 & 100.267 & -0.334462 & 0.337795 \tabularnewline
51 & 100.27 & 100.045 & 100.337 & -0.291649 & 0.224983 \tabularnewline
52 & 100.18 & 100.139 & 100.404 & -0.265347 & 0.0411806 \tabularnewline
53 & 100.16 & 100.268 & 100.463 & -0.194462 & -0.108455 \tabularnewline
54 & 100.18 & 100.314 & 100.514 & -0.200243 & -0.133507 \tabularnewline
55 & 100.18 & 100.34 & 100.563 & -0.223316 & -0.159601 \tabularnewline
56 & 100.59 & 100.556 & 100.61 & -0.0541493 & 0.0341493 \tabularnewline
57 & 100.69 & 100.743 & 100.66 & 0.082934 & -0.0533507 \tabularnewline
58 & 101.06 & 101.171 & 100.728 & 0.442726 & -0.110642 \tabularnewline
59 & 101.15 & 101.344 & 100.815 & 0.529757 & -0.19434 \tabularnewline
60 & 101.16 & 101.44 & 100.91 & 0.530069 & -0.280069 \tabularnewline
61 & 101.16 & 100.985 & 101.007 & -0.0218576 & 0.174774 \tabularnewline
62 & 100.81 & 100.768 & 101.102 & -0.334462 & 0.0423785 \tabularnewline
63 & 100.94 & 100.913 & 101.205 & -0.291649 & 0.0266493 \tabularnewline
64 & 101.13 & 101.055 & 101.321 & -0.265347 & 0.0745139 \tabularnewline
65 & 101.29 & 101.248 & 101.443 & -0.194462 & 0.0415451 \tabularnewline
66 & 101.34 & 101.371 & 101.571 & -0.200243 & -0.0305903 \tabularnewline
67 & 101.35 & 101.478 & 101.701 & -0.223316 & -0.127934 \tabularnewline
68 & 101.7 & 101.77 & 101.824 & -0.0541493 & -0.0696007 \tabularnewline
69 & 102.05 & 102.017 & 101.934 & 0.082934 & 0.0328993 \tabularnewline
70 & 102.48 & 102.482 & 102.039 & 0.442726 & -0.00189236 \tabularnewline
71 & 102.66 & 102.672 & 102.142 & 0.529757 & -0.0122569 \tabularnewline
72 & 102.72 & 102.777 & 102.247 & 0.530069 & -0.0571528 \tabularnewline
73 & 102.73 & 102.331 & 102.353 & -0.0218576 & 0.398941 \tabularnewline
74 & 102.18 & 102.126 & 102.46 & -0.334462 & 0.0544618 \tabularnewline
75 & 102.22 & 102.269 & 102.561 & -0.291649 & -0.049184 \tabularnewline
76 & 102.37 & 102.385 & 102.651 & -0.265347 & -0.0154861 \tabularnewline
77 & 102.53 & 102.543 & 102.737 & -0.194462 & -0.0126215 \tabularnewline
78 & 102.61 & 102.622 & 102.822 & -0.200243 & -0.0118403 \tabularnewline
79 & 102.62 & 102.509 & 102.732 & -0.223316 & 0.110816 \tabularnewline
80 & 103 & 102.418 & 102.472 & -0.0541493 & 0.582066 \tabularnewline
81 & 103.17 & 102.298 & 102.215 & 0.082934 & 0.872066 \tabularnewline
82 & 103.52 & 102.404 & 101.961 & 0.442726 & 1.11602 \tabularnewline
83 & 103.69 & 102.244 & 101.714 & 0.529757 & 1.44649 \tabularnewline
84 & 103.73 & 101.998 & 101.468 & 0.530069 & 1.7316 \tabularnewline
85 & 99.57 & 101.206 & 101.227 & -0.0218576 & -1.63564 \tabularnewline
86 & 99.09 & 100.657 & 100.991 & -0.334462 & -1.56679 \tabularnewline
87 & 99.14 & 100.468 & 100.759 & -0.291649 & -1.32752 \tabularnewline
88 & 99.36 & 100.271 & 100.536 & -0.265347 & -0.910903 \tabularnewline
89 & 99.6 & 100.126 & 100.32 & -0.194462 & -0.525538 \tabularnewline
90 & 99.65 & 99.9064 & 100.107 & -0.200243 & -0.256424 \tabularnewline
91 & 99.8 & 99.845 & 100.068 & -0.223316 & -0.0450174 \tabularnewline
92 & 100.15 & 100.166 & 100.22 & -0.0541493 & -0.0162674 \tabularnewline
93 & 100.45 & 100.472 & 100.389 & 0.082934 & -0.021684 \tabularnewline
94 & 100.89 & 100.989 & 100.546 & 0.442726 & -0.0989757 \tabularnewline
95 & 101.13 & 101.216 & 100.686 & 0.529757 & -0.0855903 \tabularnewline
96 & 101.17 & 101.345 & 100.815 & 0.530069 & -0.175069 \tabularnewline
97 & 101.21 & 100.902 & 100.924 & -0.0218576 & 0.307691 \tabularnewline
98 & 101.1 & 100.676 & 101.01 & -0.334462 & 0.424045 \tabularnewline
99 & 101.17 & 100.79 & 101.082 & -0.291649 & 0.379566 \tabularnewline
100 & 101.11 & 100.864 & 101.129 & -0.265347 & 0.246181 \tabularnewline
101 & 101.2 & 100.961 & 101.155 & -0.194462 & 0.239462 \tabularnewline
102 & 101.15 & 100.976 & 101.177 & -0.200243 & 0.173576 \tabularnewline
103 & 100.92 & NA & NA & -0.223316 & NA \tabularnewline
104 & 101.1 & NA & NA & -0.0541493 & NA \tabularnewline
105 & 101.22 & NA & NA & 0.082934 & NA \tabularnewline
106 & 101.25 & NA & NA & 0.442726 & NA \tabularnewline
107 & 101.39 & NA & NA & 0.529757 & NA \tabularnewline
108 & 101.43 & NA & NA & 0.530069 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294570&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]96.86[/C][C]NA[/C][C]NA[/C][C]-0.0218576[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]96.89[/C][C]NA[/C][C]NA[/C][C]-0.334462[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]96.9[/C][C]NA[/C][C]NA[/C][C]-0.291649[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]96.94[/C][C]NA[/C][C]NA[/C][C]-0.265347[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]96.88[/C][C]NA[/C][C]NA[/C][C]-0.194462[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]96.89[/C][C]NA[/C][C]NA[/C][C]-0.200243[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]96.89[/C][C]96.7725[/C][C]96.9958[/C][C]-0.223316[/C][C]0.117483[/C][/ROW]
[ROW][C]8[/C][C]96.95[/C][C]96.9684[/C][C]97.0225[/C][C]-0.0541493[/C][C]-0.0183507[/C][/ROW]
[ROW][C]9[/C][C]97.03[/C][C]97.1329[/C][C]97.05[/C][C]0.082934[/C][C]-0.102934[/C][/ROW]
[ROW][C]10[/C][C]97.29[/C][C]97.5206[/C][C]97.0779[/C][C]0.442726[/C][C]-0.230642[/C][/ROW]
[ROW][C]11[/C][C]97.12[/C][C]97.6389[/C][C]97.1092[/C][C]0.529757[/C][C]-0.518924[/C][/ROW]
[ROW][C]12[/C][C]97.15[/C][C]97.6751[/C][C]97.145[/C][C]0.530069[/C][C]-0.525069[/C][/ROW]
[ROW][C]13[/C][C]97.18[/C][C]97.1611[/C][C]97.1829[/C][C]-0.0218576[/C][C]0.018941[/C][/ROW]
[ROW][C]14[/C][C]97.21[/C][C]96.8864[/C][C]97.2208[/C][C]-0.334462[/C][C]0.323628[/C][/ROW]
[ROW][C]15[/C][C]97.24[/C][C]96.9638[/C][C]97.2554[/C][C]-0.291649[/C][C]0.276233[/C][/ROW]
[ROW][C]16[/C][C]97.27[/C][C]97.0317[/C][C]97.2971[/C][C]-0.265347[/C][C]0.238264[/C][/ROW]
[ROW][C]17[/C][C]97.3[/C][C]97.1639[/C][C]97.3583[/C][C]-0.194462[/C][C]0.136128[/C][/ROW]
[ROW][C]18[/C][C]97.33[/C][C]97.2306[/C][C]97.4308[/C][C]-0.200243[/C][C]0.0994097[/C][/ROW]
[ROW][C]19[/C][C]97.36[/C][C]97.2796[/C][C]97.5029[/C][C]-0.223316[/C][C]0.0803993[/C][/ROW]
[ROW][C]20[/C][C]97.39[/C][C]97.5146[/C][C]97.5687[/C][C]-0.0541493[/C][C]-0.124601[/C][/ROW]
[ROW][C]21[/C][C]97.42[/C][C]97.7188[/C][C]97.6358[/C][C]0.082934[/C][C]-0.298767[/C][/ROW]
[ROW][C]22[/C][C]97.9[/C][C]98.1536[/C][C]97.7108[/C][C]0.442726[/C][C]-0.253559[/C][/ROW]
[ROW][C]23[/C][C]97.98[/C][C]98.3223[/C][C]97.7925[/C][C]0.529757[/C][C]-0.342257[/C][/ROW]
[ROW][C]24[/C][C]98.03[/C][C]98.4113[/C][C]97.8812[/C][C]0.530069[/C][C]-0.381319[/C][/ROW]
[ROW][C]25[/C][C]98.03[/C][C]97.9494[/C][C]97.9713[/C][C]-0.0218576[/C][C]0.0806076[/C][/ROW]
[ROW][C]26[/C][C]97.94[/C][C]97.7255[/C][C]98.06[/C][C]-0.334462[/C][C]0.214462[/C][/ROW]
[ROW][C]27[/C][C]98.12[/C][C]97.8688[/C][C]98.1604[/C][C]-0.291649[/C][C]0.251233[/C][/ROW]
[ROW][C]28[/C][C]98.19[/C][C]98.0072[/C][C]98.2725[/C][C]-0.265347[/C][C]0.182847[/C][/ROW]
[ROW][C]29[/C][C]98.34[/C][C]98.1955[/C][C]98.39[/C][C]-0.194462[/C][C]0.144462[/C][/ROW]
[ROW][C]30[/C][C]98.42[/C][C]98.3143[/C][C]98.5146[/C][C]-0.200243[/C][C]0.10566[/C][/ROW]
[ROW][C]31[/C][C]98.43[/C][C]98.4175[/C][C]98.6408[/C][C]-0.223316[/C][C]0.0124826[/C][/ROW]
[ROW][C]32[/C][C]98.45[/C][C]98.7042[/C][C]98.7583[/C][C]-0.0541493[/C][C]-0.254184[/C][/ROW]
[ROW][C]33[/C][C]98.77[/C][C]98.95[/C][C]98.8671[/C][C]0.082934[/C][C]-0.180017[/C][/ROW]
[ROW][C]34[/C][C]99.24[/C][C]99.4177[/C][C]98.975[/C][C]0.442726[/C][C]-0.177726[/C][/ROW]
[ROW][C]35[/C][C]99.46[/C][C]99.6093[/C][C]99.0796[/C][C]0.529757[/C][C]-0.14934[/C][/ROW]
[ROW][C]36[/C][C]99.54[/C][C]99.7109[/C][C]99.1808[/C][C]0.530069[/C][C]-0.170903[/C][/ROW]
[ROW][C]37[/C][C]99.55[/C][C]99.2594[/C][C]99.2812[/C][C]-0.0218576[/C][C]0.290608[/C][/ROW]
[ROW][C]38[/C][C]99.24[/C][C]99.0514[/C][C]99.3858[/C][C]-0.334462[/C][C]0.188628[/C][/ROW]
[ROW][C]39[/C][C]99.43[/C][C]99.1934[/C][C]99.485[/C][C]-0.291649[/C][C]0.236649[/C][/ROW]
[ROW][C]40[/C][C]99.47[/C][C]99.308[/C][C]99.5733[/C][C]-0.265347[/C][C]0.162014[/C][/ROW]
[ROW][C]41[/C][C]99.57[/C][C]99.4664[/C][C]99.6608[/C][C]-0.194462[/C][C]0.103628[/C][/ROW]
[ROW][C]42[/C][C]99.62[/C][C]99.5477[/C][C]99.7479[/C][C]-0.200243[/C][C]0.0723264[/C][/ROW]
[ROW][C]43[/C][C]99.64[/C][C]99.61[/C][C]99.8333[/C][C]-0.223316[/C][C]0.0299826[/C][/ROW]
[ROW][C]44[/C][C]99.75[/C][C]99.8646[/C][C]99.9188[/C][C]-0.0541493[/C][C]-0.114601[/C][/ROW]
[ROW][C]45[/C][C]99.85[/C][C]100.08[/C][C]99.9967[/C][C]0.082934[/C][C]-0.229601[/C][/ROW]
[ROW][C]46[/C][C]100.28[/C][C]100.504[/C][C]100.061[/C][C]0.442726[/C][C]-0.223976[/C][/ROW]
[ROW][C]47[/C][C]100.52[/C][C]100.645[/C][C]100.115[/C][C]0.529757[/C][C]-0.125174[/C][/ROW]
[ROW][C]48[/C][C]100.57[/C][C]100.693[/C][C]100.163[/C][C]0.530069[/C][C]-0.123403[/C][/ROW]
[ROW][C]49[/C][C]100.57[/C][C]100.187[/C][C]100.209[/C][C]-0.0218576[/C][C]0.382691[/C][/ROW]
[ROW][C]50[/C][C]100.27[/C][C]99.9322[/C][C]100.267[/C][C]-0.334462[/C][C]0.337795[/C][/ROW]
[ROW][C]51[/C][C]100.27[/C][C]100.045[/C][C]100.337[/C][C]-0.291649[/C][C]0.224983[/C][/ROW]
[ROW][C]52[/C][C]100.18[/C][C]100.139[/C][C]100.404[/C][C]-0.265347[/C][C]0.0411806[/C][/ROW]
[ROW][C]53[/C][C]100.16[/C][C]100.268[/C][C]100.463[/C][C]-0.194462[/C][C]-0.108455[/C][/ROW]
[ROW][C]54[/C][C]100.18[/C][C]100.314[/C][C]100.514[/C][C]-0.200243[/C][C]-0.133507[/C][/ROW]
[ROW][C]55[/C][C]100.18[/C][C]100.34[/C][C]100.563[/C][C]-0.223316[/C][C]-0.159601[/C][/ROW]
[ROW][C]56[/C][C]100.59[/C][C]100.556[/C][C]100.61[/C][C]-0.0541493[/C][C]0.0341493[/C][/ROW]
[ROW][C]57[/C][C]100.69[/C][C]100.743[/C][C]100.66[/C][C]0.082934[/C][C]-0.0533507[/C][/ROW]
[ROW][C]58[/C][C]101.06[/C][C]101.171[/C][C]100.728[/C][C]0.442726[/C][C]-0.110642[/C][/ROW]
[ROW][C]59[/C][C]101.15[/C][C]101.344[/C][C]100.815[/C][C]0.529757[/C][C]-0.19434[/C][/ROW]
[ROW][C]60[/C][C]101.16[/C][C]101.44[/C][C]100.91[/C][C]0.530069[/C][C]-0.280069[/C][/ROW]
[ROW][C]61[/C][C]101.16[/C][C]100.985[/C][C]101.007[/C][C]-0.0218576[/C][C]0.174774[/C][/ROW]
[ROW][C]62[/C][C]100.81[/C][C]100.768[/C][C]101.102[/C][C]-0.334462[/C][C]0.0423785[/C][/ROW]
[ROW][C]63[/C][C]100.94[/C][C]100.913[/C][C]101.205[/C][C]-0.291649[/C][C]0.0266493[/C][/ROW]
[ROW][C]64[/C][C]101.13[/C][C]101.055[/C][C]101.321[/C][C]-0.265347[/C][C]0.0745139[/C][/ROW]
[ROW][C]65[/C][C]101.29[/C][C]101.248[/C][C]101.443[/C][C]-0.194462[/C][C]0.0415451[/C][/ROW]
[ROW][C]66[/C][C]101.34[/C][C]101.371[/C][C]101.571[/C][C]-0.200243[/C][C]-0.0305903[/C][/ROW]
[ROW][C]67[/C][C]101.35[/C][C]101.478[/C][C]101.701[/C][C]-0.223316[/C][C]-0.127934[/C][/ROW]
[ROW][C]68[/C][C]101.7[/C][C]101.77[/C][C]101.824[/C][C]-0.0541493[/C][C]-0.0696007[/C][/ROW]
[ROW][C]69[/C][C]102.05[/C][C]102.017[/C][C]101.934[/C][C]0.082934[/C][C]0.0328993[/C][/ROW]
[ROW][C]70[/C][C]102.48[/C][C]102.482[/C][C]102.039[/C][C]0.442726[/C][C]-0.00189236[/C][/ROW]
[ROW][C]71[/C][C]102.66[/C][C]102.672[/C][C]102.142[/C][C]0.529757[/C][C]-0.0122569[/C][/ROW]
[ROW][C]72[/C][C]102.72[/C][C]102.777[/C][C]102.247[/C][C]0.530069[/C][C]-0.0571528[/C][/ROW]
[ROW][C]73[/C][C]102.73[/C][C]102.331[/C][C]102.353[/C][C]-0.0218576[/C][C]0.398941[/C][/ROW]
[ROW][C]74[/C][C]102.18[/C][C]102.126[/C][C]102.46[/C][C]-0.334462[/C][C]0.0544618[/C][/ROW]
[ROW][C]75[/C][C]102.22[/C][C]102.269[/C][C]102.561[/C][C]-0.291649[/C][C]-0.049184[/C][/ROW]
[ROW][C]76[/C][C]102.37[/C][C]102.385[/C][C]102.651[/C][C]-0.265347[/C][C]-0.0154861[/C][/ROW]
[ROW][C]77[/C][C]102.53[/C][C]102.543[/C][C]102.737[/C][C]-0.194462[/C][C]-0.0126215[/C][/ROW]
[ROW][C]78[/C][C]102.61[/C][C]102.622[/C][C]102.822[/C][C]-0.200243[/C][C]-0.0118403[/C][/ROW]
[ROW][C]79[/C][C]102.62[/C][C]102.509[/C][C]102.732[/C][C]-0.223316[/C][C]0.110816[/C][/ROW]
[ROW][C]80[/C][C]103[/C][C]102.418[/C][C]102.472[/C][C]-0.0541493[/C][C]0.582066[/C][/ROW]
[ROW][C]81[/C][C]103.17[/C][C]102.298[/C][C]102.215[/C][C]0.082934[/C][C]0.872066[/C][/ROW]
[ROW][C]82[/C][C]103.52[/C][C]102.404[/C][C]101.961[/C][C]0.442726[/C][C]1.11602[/C][/ROW]
[ROW][C]83[/C][C]103.69[/C][C]102.244[/C][C]101.714[/C][C]0.529757[/C][C]1.44649[/C][/ROW]
[ROW][C]84[/C][C]103.73[/C][C]101.998[/C][C]101.468[/C][C]0.530069[/C][C]1.7316[/C][/ROW]
[ROW][C]85[/C][C]99.57[/C][C]101.206[/C][C]101.227[/C][C]-0.0218576[/C][C]-1.63564[/C][/ROW]
[ROW][C]86[/C][C]99.09[/C][C]100.657[/C][C]100.991[/C][C]-0.334462[/C][C]-1.56679[/C][/ROW]
[ROW][C]87[/C][C]99.14[/C][C]100.468[/C][C]100.759[/C][C]-0.291649[/C][C]-1.32752[/C][/ROW]
[ROW][C]88[/C][C]99.36[/C][C]100.271[/C][C]100.536[/C][C]-0.265347[/C][C]-0.910903[/C][/ROW]
[ROW][C]89[/C][C]99.6[/C][C]100.126[/C][C]100.32[/C][C]-0.194462[/C][C]-0.525538[/C][/ROW]
[ROW][C]90[/C][C]99.65[/C][C]99.9064[/C][C]100.107[/C][C]-0.200243[/C][C]-0.256424[/C][/ROW]
[ROW][C]91[/C][C]99.8[/C][C]99.845[/C][C]100.068[/C][C]-0.223316[/C][C]-0.0450174[/C][/ROW]
[ROW][C]92[/C][C]100.15[/C][C]100.166[/C][C]100.22[/C][C]-0.0541493[/C][C]-0.0162674[/C][/ROW]
[ROW][C]93[/C][C]100.45[/C][C]100.472[/C][C]100.389[/C][C]0.082934[/C][C]-0.021684[/C][/ROW]
[ROW][C]94[/C][C]100.89[/C][C]100.989[/C][C]100.546[/C][C]0.442726[/C][C]-0.0989757[/C][/ROW]
[ROW][C]95[/C][C]101.13[/C][C]101.216[/C][C]100.686[/C][C]0.529757[/C][C]-0.0855903[/C][/ROW]
[ROW][C]96[/C][C]101.17[/C][C]101.345[/C][C]100.815[/C][C]0.530069[/C][C]-0.175069[/C][/ROW]
[ROW][C]97[/C][C]101.21[/C][C]100.902[/C][C]100.924[/C][C]-0.0218576[/C][C]0.307691[/C][/ROW]
[ROW][C]98[/C][C]101.1[/C][C]100.676[/C][C]101.01[/C][C]-0.334462[/C][C]0.424045[/C][/ROW]
[ROW][C]99[/C][C]101.17[/C][C]100.79[/C][C]101.082[/C][C]-0.291649[/C][C]0.379566[/C][/ROW]
[ROW][C]100[/C][C]101.11[/C][C]100.864[/C][C]101.129[/C][C]-0.265347[/C][C]0.246181[/C][/ROW]
[ROW][C]101[/C][C]101.2[/C][C]100.961[/C][C]101.155[/C][C]-0.194462[/C][C]0.239462[/C][/ROW]
[ROW][C]102[/C][C]101.15[/C][C]100.976[/C][C]101.177[/C][C]-0.200243[/C][C]0.173576[/C][/ROW]
[ROW][C]103[/C][C]100.92[/C][C]NA[/C][C]NA[/C][C]-0.223316[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.1[/C][C]NA[/C][C]NA[/C][C]-0.0541493[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.22[/C][C]NA[/C][C]NA[/C][C]0.082934[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.25[/C][C]NA[/C][C]NA[/C][C]0.442726[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.39[/C][C]NA[/C][C]NA[/C][C]0.529757[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.43[/C][C]NA[/C][C]NA[/C][C]0.530069[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294570&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294570&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	96.86	NA	NA	-0.0218576	NA
2	96.89	NA	NA	-0.334462	NA
3	96.9	NA	NA	-0.291649	NA
4	96.94	NA	NA	-0.265347	NA
5	96.88	NA	NA	-0.194462	NA
6	96.89	NA	NA	-0.200243	NA
7	96.89	96.7725	96.9958	-0.223316	0.117483
8	96.95	96.9684	97.0225	-0.0541493	-0.0183507
9	97.03	97.1329	97.05	0.082934	-0.102934
10	97.29	97.5206	97.0779	0.442726	-0.230642
11	97.12	97.6389	97.1092	0.529757	-0.518924
12	97.15	97.6751	97.145	0.530069	-0.525069
13	97.18	97.1611	97.1829	-0.0218576	0.018941
14	97.21	96.8864	97.2208	-0.334462	0.323628
15	97.24	96.9638	97.2554	-0.291649	0.276233
16	97.27	97.0317	97.2971	-0.265347	0.238264
17	97.3	97.1639	97.3583	-0.194462	0.136128
18	97.33	97.2306	97.4308	-0.200243	0.0994097
19	97.36	97.2796	97.5029	-0.223316	0.0803993
20	97.39	97.5146	97.5687	-0.0541493	-0.124601
21	97.42	97.7188	97.6358	0.082934	-0.298767
22	97.9	98.1536	97.7108	0.442726	-0.253559
23	97.98	98.3223	97.7925	0.529757	-0.342257
24	98.03	98.4113	97.8812	0.530069	-0.381319
25	98.03	97.9494	97.9713	-0.0218576	0.0806076
26	97.94	97.7255	98.06	-0.334462	0.214462
27	98.12	97.8688	98.1604	-0.291649	0.251233
28	98.19	98.0072	98.2725	-0.265347	0.182847
29	98.34	98.1955	98.39	-0.194462	0.144462
30	98.42	98.3143	98.5146	-0.200243	0.10566
31	98.43	98.4175	98.6408	-0.223316	0.0124826
32	98.45	98.7042	98.7583	-0.0541493	-0.254184
33	98.77	98.95	98.8671	0.082934	-0.180017
34	99.24	99.4177	98.975	0.442726	-0.177726
35	99.46	99.6093	99.0796	0.529757	-0.14934
36	99.54	99.7109	99.1808	0.530069	-0.170903
37	99.55	99.2594	99.2812	-0.0218576	0.290608
38	99.24	99.0514	99.3858	-0.334462	0.188628
39	99.43	99.1934	99.485	-0.291649	0.236649
40	99.47	99.308	99.5733	-0.265347	0.162014
41	99.57	99.4664	99.6608	-0.194462	0.103628
42	99.62	99.5477	99.7479	-0.200243	0.0723264
43	99.64	99.61	99.8333	-0.223316	0.0299826
44	99.75	99.8646	99.9188	-0.0541493	-0.114601
45	99.85	100.08	99.9967	0.082934	-0.229601
46	100.28	100.504	100.061	0.442726	-0.223976
47	100.52	100.645	100.115	0.529757	-0.125174
48	100.57	100.693	100.163	0.530069	-0.123403
49	100.57	100.187	100.209	-0.0218576	0.382691
50	100.27	99.9322	100.267	-0.334462	0.337795
51	100.27	100.045	100.337	-0.291649	0.224983
52	100.18	100.139	100.404	-0.265347	0.0411806
53	100.16	100.268	100.463	-0.194462	-0.108455
54	100.18	100.314	100.514	-0.200243	-0.133507
55	100.18	100.34	100.563	-0.223316	-0.159601
56	100.59	100.556	100.61	-0.0541493	0.0341493
57	100.69	100.743	100.66	0.082934	-0.0533507
58	101.06	101.171	100.728	0.442726	-0.110642
59	101.15	101.344	100.815	0.529757	-0.19434
60	101.16	101.44	100.91	0.530069	-0.280069
61	101.16	100.985	101.007	-0.0218576	0.174774
62	100.81	100.768	101.102	-0.334462	0.0423785
63	100.94	100.913	101.205	-0.291649	0.0266493
64	101.13	101.055	101.321	-0.265347	0.0745139
65	101.29	101.248	101.443	-0.194462	0.0415451
66	101.34	101.371	101.571	-0.200243	-0.0305903
67	101.35	101.478	101.701	-0.223316	-0.127934
68	101.7	101.77	101.824	-0.0541493	-0.0696007
69	102.05	102.017	101.934	0.082934	0.0328993
70	102.48	102.482	102.039	0.442726	-0.00189236
71	102.66	102.672	102.142	0.529757	-0.0122569
72	102.72	102.777	102.247	0.530069	-0.0571528
73	102.73	102.331	102.353	-0.0218576	0.398941
74	102.18	102.126	102.46	-0.334462	0.0544618
75	102.22	102.269	102.561	-0.291649	-0.049184
76	102.37	102.385	102.651	-0.265347	-0.0154861
77	102.53	102.543	102.737	-0.194462	-0.0126215
78	102.61	102.622	102.822	-0.200243	-0.0118403
79	102.62	102.509	102.732	-0.223316	0.110816
80	103	102.418	102.472	-0.0541493	0.582066
81	103.17	102.298	102.215	0.082934	0.872066
82	103.52	102.404	101.961	0.442726	1.11602
83	103.69	102.244	101.714	0.529757	1.44649
84	103.73	101.998	101.468	0.530069	1.7316
85	99.57	101.206	101.227	-0.0218576	-1.63564
86	99.09	100.657	100.991	-0.334462	-1.56679
87	99.14	100.468	100.759	-0.291649	-1.32752
88	99.36	100.271	100.536	-0.265347	-0.910903
89	99.6	100.126	100.32	-0.194462	-0.525538
90	99.65	99.9064	100.107	-0.200243	-0.256424
91	99.8	99.845	100.068	-0.223316	-0.0450174
92	100.15	100.166	100.22	-0.0541493	-0.0162674
93	100.45	100.472	100.389	0.082934	-0.021684
94	100.89	100.989	100.546	0.442726	-0.0989757
95	101.13	101.216	100.686	0.529757	-0.0855903
96	101.17	101.345	100.815	0.530069	-0.175069
97	101.21	100.902	100.924	-0.0218576	0.307691
98	101.1	100.676	101.01	-0.334462	0.424045
99	101.17	100.79	101.082	-0.291649	0.379566
100	101.11	100.864	101.129	-0.265347	0.246181
101	101.2	100.961	101.155	-0.194462	0.239462
102	101.15	100.976	101.177	-0.200243	0.173576
103	100.92	NA	NA	-0.223316	NA
104	101.1	NA	NA	-0.0541493	NA
105	101.22	NA	NA	0.082934	NA
106	101.25	NA	NA	0.442726	NA
107	101.39	NA	NA	0.529757	NA
108	101.43	NA	NA	0.530069	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 <- '12'
par1 <- 'additive'
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