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R Software Module

rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Thu, 24 Nov 2016 19:05:47 +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/2016/Nov/24/t1480014374ds9cl20codqnvwb.htm/, Retrieved Tue, 07 May 2024 10:15:45 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 07 May 2024 10:15:45 +0200

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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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	77.34	NA	NA	0.160829	NA
2	78.15	NA	NA	0.236141	NA
3	78.31	NA	NA	0.404162	NA
4	78.71	NA	NA	0.336714	NA
5	78.68	NA	NA	0.188641	NA
6	78.85	NA	NA	0.0836415	NA
7	78.97	79.9653	80.2838	-0.318494	-0.995256
8	79.47	80.606	81.0029	-0.396879	-1.13604
9	80.6	81.337	81.7454	-0.408442	-0.736975
10	82.24	82.3617	82.5042	-0.142504	-0.121662
11	83.25	83.1788	83.2742	-0.0953689	0.0712023
12	84.55	84.0145	84.0629	-0.0484418	0.535525
13	85.91	85.0192	84.8583	0.160829	0.890838
14	86.84	85.8811	85.645	0.236141	0.958859
15	87.44	86.7812	86.3771	0.404162	0.658754
16	87.79	87.35	87.0133	0.336714	0.439952
17	88.08	87.747	87.5583	0.188641	0.333025
18	88.38	88.0961	88.0125	0.0836415	0.283859
19	88.53	88.0561	88.3746	-0.318494	0.473911
20	88.79	88.2673	88.6642	-0.396879	0.522713
21	88.85	88.4911	88.8996	-0.408442	0.358859
22	89.26	88.9587	89.1012	-0.142504	0.301254
23	89.31	89.1792	89.2746	-0.0953689	0.130786
24	89.39	89.3799	89.4283	-0.0484418	0.0101085
25	89.76	89.7137	89.5529	0.160829	0.0462543
26	89.94	89.8674	89.6312	0.236141	0.0726085
27	89.99	90.0817	89.6775	0.404162	-0.0916623
28	90.08	90.0255	89.6888	0.336714	0.0545356
29	89.95	89.862	89.6733	0.188641	0.0880252
30	90.2	89.7332	89.6496	0.0836415	0.466775
31	89.7	89.2919	89.6104	-0.318494	0.408077
32	89.5	89.1648	89.5617	-0.396879	0.335213
33	89.25	89.1053	89.5138	-0.408442	0.144692
34	89.13	89.3229	89.4654	-0.142504	-0.192912
35	89.07	89.3325	89.4279	-0.0953689	-0.262548
36	89.06	89.3428	89.3912	-0.0484418	-0.282808
37	89.15	89.5283	89.3675	0.160829	-0.378329
38	89.38	89.6203	89.3842	0.236141	-0.240308
39	89.4	89.8479	89.4438	0.404162	-0.447912
40	89.51	89.8959	89.5592	0.336714	-0.385881
41	89.62	89.9049	89.7162	0.188641	-0.284891
42	89.65	89.9699	89.8863	0.0836415	-0.319891
43	89.68	89.7657	90.0842	-0.318494	-0.0856727
44	89.92	89.9356	90.3325	-0.396879	-0.0156207
45	90.26	90.2295	90.6379	-0.408442	0.0305252
46	90.89	90.8492	90.9917	-0.142504	0.0408377
47	91.08	91.2688	91.3642	-0.0953689	-0.188798
48	91.13	91.6974	91.7458	-0.0484418	-0.567391
49	91.83	92.2912	92.1304	0.160829	-0.461246
50	92.66	92.7482	92.5121	0.236141	-0.0882248
51	93.45	93.2875	92.8833	0.404162	0.162504
52	93.95	93.565	93.2283	0.336714	0.384952
53	94.12	93.7582	93.5696	0.188641	0.361775
54	94.31	94.022	93.9383	0.0836415	0.288025
55	94.25	93.9886	94.3071	-0.318494	0.261411
56	94.51	94.2423	94.6392	-0.396879	0.267713
57	94.58	94.5166	94.925	-0.408442	0.0634418
58	94.85	95.0175	95.16	-0.142504	-0.167496
59	95.31	95.2621	95.3575	-0.0953689	0.0478689
60	95.75	95.4811	95.5296	-0.0484418	0.268859
61	96.06	95.8512	95.6904	0.160829	0.208754
62	96.4	96.0995	95.8633	0.236141	0.300525
63	96.57	96.4621	96.0579	0.404162	0.107921
64	96.47	96.6213	96.2846	0.336714	-0.151298
65	96.34	96.7182	96.5296	0.188641	-0.378225
66	96.22	96.8491	96.7654	0.0836415	-0.629058
67	96.2	96.6815	97	-0.318494	-0.481506
68	96.71	96.8523	97.2492	-0.396879	-0.142287
69	97.05	97.1082	97.5167	-0.408442	-0.0582248
70	97.82	97.6596	97.8021	-0.142504	0.160421
71	98.22	98.0105	98.1058	-0.0953689	0.209536
72	98.5	98.3782	98.4267	-0.0484418	0.121775
73	98.94	98.9121	98.7512	0.160829	0.027921
74	99.5	99.2861	99.05	0.236141	0.213859
75	99.89	99.7154	99.3112	0.404162	0.174588
76	100	99.875	99.5383	0.336714	0.124952
77	100.1	99.9274	99.7388	0.188641	0.172609
78	100.16	100.002	99.9179	0.0836415	0.158442
79	100.05	99.7423	100.061	-0.318494	0.307661
80	100.03	99.754	100.151	-0.396879	0.276046
81	100	99.7978	100.206	-0.408442	0.202192
82	100.32	100.113	100.255	-0.142504	0.207088
83	100.53	100.205	100.3	-0.0953689	0.325369
84	100.49	100.275	100.324	-0.0484418	0.214692
85	100.38	100.497	100.337	0.160829	-0.117496
86	100.22	100.582	100.346	0.236141	-0.361975
87	100.5	100.755	100.35	0.404162	-0.254579
88	100.57	100.688	100.352	0.336714	-0.118381
89	100.6	100.522	100.334	0.188641	0.0776085
90	100.23	100.397	100.314	0.0836415	-0.167391
91	100.29	100.004	100.322	-0.318494	0.286411
92	100.01	99.9427	100.34	-0.396879	0.067296
93	100.13	99.9595	100.368	-0.408442	0.170525
94	100.22	100.272	100.415	-0.142504	-0.0524957
95	100.2	100.358	100.454	-0.0953689	-0.158381
96	100.34	100.466	100.514	-0.0484418	-0.125725
97	100.73	100.772	100.611	0.160829	-0.0416623
98	100.29	100.97	100.734	0.236141	-0.680308
99	101.11	101.245	100.84	0.404162	-0.134579
100	101.09	101.264	100.927	0.336714	-0.173798
101	101.01	101.205	101.016	0.188641	-0.194891
102	101.27	101.176	101.092	0.0836415	0.0942752
103	101.57	NA	NA	-0.318494	NA
104	101.69	NA	NA	-0.396879	NA
105	101	NA	NA	-0.408442	NA
106	101.43	NA	NA	-0.142504	NA
107	101.13	NA	NA	-0.0953689	NA
108	101.23	NA	NA	-0.0484418	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 77.34 & NA & NA & 0.160829 & NA \tabularnewline
2 & 78.15 & NA & NA & 0.236141 & NA \tabularnewline
3 & 78.31 & NA & NA & 0.404162 & NA \tabularnewline
4 & 78.71 & NA & NA & 0.336714 & NA \tabularnewline
5 & 78.68 & NA & NA & 0.188641 & NA \tabularnewline
6 & 78.85 & NA & NA & 0.0836415 & NA \tabularnewline
7 & 78.97 & 79.9653 & 80.2838 & -0.318494 & -0.995256 \tabularnewline
8 & 79.47 & 80.606 & 81.0029 & -0.396879 & -1.13604 \tabularnewline
9 & 80.6 & 81.337 & 81.7454 & -0.408442 & -0.736975 \tabularnewline
10 & 82.24 & 82.3617 & 82.5042 & -0.142504 & -0.121662 \tabularnewline
11 & 83.25 & 83.1788 & 83.2742 & -0.0953689 & 0.0712023 \tabularnewline
12 & 84.55 & 84.0145 & 84.0629 & -0.0484418 & 0.535525 \tabularnewline
13 & 85.91 & 85.0192 & 84.8583 & 0.160829 & 0.890838 \tabularnewline
14 & 86.84 & 85.8811 & 85.645 & 0.236141 & 0.958859 \tabularnewline
15 & 87.44 & 86.7812 & 86.3771 & 0.404162 & 0.658754 \tabularnewline
16 & 87.79 & 87.35 & 87.0133 & 0.336714 & 0.439952 \tabularnewline
17 & 88.08 & 87.747 & 87.5583 & 0.188641 & 0.333025 \tabularnewline
18 & 88.38 & 88.0961 & 88.0125 & 0.0836415 & 0.283859 \tabularnewline
19 & 88.53 & 88.0561 & 88.3746 & -0.318494 & 0.473911 \tabularnewline
20 & 88.79 & 88.2673 & 88.6642 & -0.396879 & 0.522713 \tabularnewline
21 & 88.85 & 88.4911 & 88.8996 & -0.408442 & 0.358859 \tabularnewline
22 & 89.26 & 88.9587 & 89.1012 & -0.142504 & 0.301254 \tabularnewline
23 & 89.31 & 89.1792 & 89.2746 & -0.0953689 & 0.130786 \tabularnewline
24 & 89.39 & 89.3799 & 89.4283 & -0.0484418 & 0.0101085 \tabularnewline
25 & 89.76 & 89.7137 & 89.5529 & 0.160829 & 0.0462543 \tabularnewline
26 & 89.94 & 89.8674 & 89.6312 & 0.236141 & 0.0726085 \tabularnewline
27 & 89.99 & 90.0817 & 89.6775 & 0.404162 & -0.0916623 \tabularnewline
28 & 90.08 & 90.0255 & 89.6888 & 0.336714 & 0.0545356 \tabularnewline
29 & 89.95 & 89.862 & 89.6733 & 0.188641 & 0.0880252 \tabularnewline
30 & 90.2 & 89.7332 & 89.6496 & 0.0836415 & 0.466775 \tabularnewline
31 & 89.7 & 89.2919 & 89.6104 & -0.318494 & 0.408077 \tabularnewline
32 & 89.5 & 89.1648 & 89.5617 & -0.396879 & 0.335213 \tabularnewline
33 & 89.25 & 89.1053 & 89.5138 & -0.408442 & 0.144692 \tabularnewline
34 & 89.13 & 89.3229 & 89.4654 & -0.142504 & -0.192912 \tabularnewline
35 & 89.07 & 89.3325 & 89.4279 & -0.0953689 & -0.262548 \tabularnewline
36 & 89.06 & 89.3428 & 89.3912 & -0.0484418 & -0.282808 \tabularnewline
37 & 89.15 & 89.5283 & 89.3675 & 0.160829 & -0.378329 \tabularnewline
38 & 89.38 & 89.6203 & 89.3842 & 0.236141 & -0.240308 \tabularnewline
39 & 89.4 & 89.8479 & 89.4438 & 0.404162 & -0.447912 \tabularnewline
40 & 89.51 & 89.8959 & 89.5592 & 0.336714 & -0.385881 \tabularnewline
41 & 89.62 & 89.9049 & 89.7162 & 0.188641 & -0.284891 \tabularnewline
42 & 89.65 & 89.9699 & 89.8863 & 0.0836415 & -0.319891 \tabularnewline
43 & 89.68 & 89.7657 & 90.0842 & -0.318494 & -0.0856727 \tabularnewline
44 & 89.92 & 89.9356 & 90.3325 & -0.396879 & -0.0156207 \tabularnewline
45 & 90.26 & 90.2295 & 90.6379 & -0.408442 & 0.0305252 \tabularnewline
46 & 90.89 & 90.8492 & 90.9917 & -0.142504 & 0.0408377 \tabularnewline
47 & 91.08 & 91.2688 & 91.3642 & -0.0953689 & -0.188798 \tabularnewline
48 & 91.13 & 91.6974 & 91.7458 & -0.0484418 & -0.567391 \tabularnewline
49 & 91.83 & 92.2912 & 92.1304 & 0.160829 & -0.461246 \tabularnewline
50 & 92.66 & 92.7482 & 92.5121 & 0.236141 & -0.0882248 \tabularnewline
51 & 93.45 & 93.2875 & 92.8833 & 0.404162 & 0.162504 \tabularnewline
52 & 93.95 & 93.565 & 93.2283 & 0.336714 & 0.384952 \tabularnewline
53 & 94.12 & 93.7582 & 93.5696 & 0.188641 & 0.361775 \tabularnewline
54 & 94.31 & 94.022 & 93.9383 & 0.0836415 & 0.288025 \tabularnewline
55 & 94.25 & 93.9886 & 94.3071 & -0.318494 & 0.261411 \tabularnewline
56 & 94.51 & 94.2423 & 94.6392 & -0.396879 & 0.267713 \tabularnewline
57 & 94.58 & 94.5166 & 94.925 & -0.408442 & 0.0634418 \tabularnewline
58 & 94.85 & 95.0175 & 95.16 & -0.142504 & -0.167496 \tabularnewline
59 & 95.31 & 95.2621 & 95.3575 & -0.0953689 & 0.0478689 \tabularnewline
60 & 95.75 & 95.4811 & 95.5296 & -0.0484418 & 0.268859 \tabularnewline
61 & 96.06 & 95.8512 & 95.6904 & 0.160829 & 0.208754 \tabularnewline
62 & 96.4 & 96.0995 & 95.8633 & 0.236141 & 0.300525 \tabularnewline
63 & 96.57 & 96.4621 & 96.0579 & 0.404162 & 0.107921 \tabularnewline
64 & 96.47 & 96.6213 & 96.2846 & 0.336714 & -0.151298 \tabularnewline
65 & 96.34 & 96.7182 & 96.5296 & 0.188641 & -0.378225 \tabularnewline
66 & 96.22 & 96.8491 & 96.7654 & 0.0836415 & -0.629058 \tabularnewline
67 & 96.2 & 96.6815 & 97 & -0.318494 & -0.481506 \tabularnewline
68 & 96.71 & 96.8523 & 97.2492 & -0.396879 & -0.142287 \tabularnewline
69 & 97.05 & 97.1082 & 97.5167 & -0.408442 & -0.0582248 \tabularnewline
70 & 97.82 & 97.6596 & 97.8021 & -0.142504 & 0.160421 \tabularnewline
71 & 98.22 & 98.0105 & 98.1058 & -0.0953689 & 0.209536 \tabularnewline
72 & 98.5 & 98.3782 & 98.4267 & -0.0484418 & 0.121775 \tabularnewline
73 & 98.94 & 98.9121 & 98.7512 & 0.160829 & 0.027921 \tabularnewline
74 & 99.5 & 99.2861 & 99.05 & 0.236141 & 0.213859 \tabularnewline
75 & 99.89 & 99.7154 & 99.3112 & 0.404162 & 0.174588 \tabularnewline
76 & 100 & 99.875 & 99.5383 & 0.336714 & 0.124952 \tabularnewline
77 & 100.1 & 99.9274 & 99.7388 & 0.188641 & 0.172609 \tabularnewline
78 & 100.16 & 100.002 & 99.9179 & 0.0836415 & 0.158442 \tabularnewline
79 & 100.05 & 99.7423 & 100.061 & -0.318494 & 0.307661 \tabularnewline
80 & 100.03 & 99.754 & 100.151 & -0.396879 & 0.276046 \tabularnewline
81 & 100 & 99.7978 & 100.206 & -0.408442 & 0.202192 \tabularnewline
82 & 100.32 & 100.113 & 100.255 & -0.142504 & 0.207088 \tabularnewline
83 & 100.53 & 100.205 & 100.3 & -0.0953689 & 0.325369 \tabularnewline
84 & 100.49 & 100.275 & 100.324 & -0.0484418 & 0.214692 \tabularnewline
85 & 100.38 & 100.497 & 100.337 & 0.160829 & -0.117496 \tabularnewline
86 & 100.22 & 100.582 & 100.346 & 0.236141 & -0.361975 \tabularnewline
87 & 100.5 & 100.755 & 100.35 & 0.404162 & -0.254579 \tabularnewline
88 & 100.57 & 100.688 & 100.352 & 0.336714 & -0.118381 \tabularnewline
89 & 100.6 & 100.522 & 100.334 & 0.188641 & 0.0776085 \tabularnewline
90 & 100.23 & 100.397 & 100.314 & 0.0836415 & -0.167391 \tabularnewline
91 & 100.29 & 100.004 & 100.322 & -0.318494 & 0.286411 \tabularnewline
92 & 100.01 & 99.9427 & 100.34 & -0.396879 & 0.067296 \tabularnewline
93 & 100.13 & 99.9595 & 100.368 & -0.408442 & 0.170525 \tabularnewline
94 & 100.22 & 100.272 & 100.415 & -0.142504 & -0.0524957 \tabularnewline
95 & 100.2 & 100.358 & 100.454 & -0.0953689 & -0.158381 \tabularnewline
96 & 100.34 & 100.466 & 100.514 & -0.0484418 & -0.125725 \tabularnewline
97 & 100.73 & 100.772 & 100.611 & 0.160829 & -0.0416623 \tabularnewline
98 & 100.29 & 100.97 & 100.734 & 0.236141 & -0.680308 \tabularnewline
99 & 101.11 & 101.245 & 100.84 & 0.404162 & -0.134579 \tabularnewline
100 & 101.09 & 101.264 & 100.927 & 0.336714 & -0.173798 \tabularnewline
101 & 101.01 & 101.205 & 101.016 & 0.188641 & -0.194891 \tabularnewline
102 & 101.27 & 101.176 & 101.092 & 0.0836415 & 0.0942752 \tabularnewline
103 & 101.57 & NA & NA & -0.318494 & NA \tabularnewline
104 & 101.69 & NA & NA & -0.396879 & NA \tabularnewline
105 & 101 & NA & NA & -0.408442 & NA \tabularnewline
106 & 101.43 & NA & NA & -0.142504 & NA \tabularnewline
107 & 101.13 & NA & NA & -0.0953689 & NA \tabularnewline
108 & 101.23 & NA & NA & -0.0484418 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]77.34[/C][C]NA[/C][C]NA[/C][C]0.160829[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]78.15[/C][C]NA[/C][C]NA[/C][C]0.236141[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]78.31[/C][C]NA[/C][C]NA[/C][C]0.404162[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]78.71[/C][C]NA[/C][C]NA[/C][C]0.336714[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]78.68[/C][C]NA[/C][C]NA[/C][C]0.188641[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]78.85[/C][C]NA[/C][C]NA[/C][C]0.0836415[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]78.97[/C][C]79.9653[/C][C]80.2838[/C][C]-0.318494[/C][C]-0.995256[/C][/ROW]
[ROW][C]8[/C][C]79.47[/C][C]80.606[/C][C]81.0029[/C][C]-0.396879[/C][C]-1.13604[/C][/ROW]
[ROW][C]9[/C][C]80.6[/C][C]81.337[/C][C]81.7454[/C][C]-0.408442[/C][C]-0.736975[/C][/ROW]
[ROW][C]10[/C][C]82.24[/C][C]82.3617[/C][C]82.5042[/C][C]-0.142504[/C][C]-0.121662[/C][/ROW]
[ROW][C]11[/C][C]83.25[/C][C]83.1788[/C][C]83.2742[/C][C]-0.0953689[/C][C]0.0712023[/C][/ROW]
[ROW][C]12[/C][C]84.55[/C][C]84.0145[/C][C]84.0629[/C][C]-0.0484418[/C][C]0.535525[/C][/ROW]
[ROW][C]13[/C][C]85.91[/C][C]85.0192[/C][C]84.8583[/C][C]0.160829[/C][C]0.890838[/C][/ROW]
[ROW][C]14[/C][C]86.84[/C][C]85.8811[/C][C]85.645[/C][C]0.236141[/C][C]0.958859[/C][/ROW]
[ROW][C]15[/C][C]87.44[/C][C]86.7812[/C][C]86.3771[/C][C]0.404162[/C][C]0.658754[/C][/ROW]
[ROW][C]16[/C][C]87.79[/C][C]87.35[/C][C]87.0133[/C][C]0.336714[/C][C]0.439952[/C][/ROW]
[ROW][C]17[/C][C]88.08[/C][C]87.747[/C][C]87.5583[/C][C]0.188641[/C][C]0.333025[/C][/ROW]
[ROW][C]18[/C][C]88.38[/C][C]88.0961[/C][C]88.0125[/C][C]0.0836415[/C][C]0.283859[/C][/ROW]
[ROW][C]19[/C][C]88.53[/C][C]88.0561[/C][C]88.3746[/C][C]-0.318494[/C][C]0.473911[/C][/ROW]
[ROW][C]20[/C][C]88.79[/C][C]88.2673[/C][C]88.6642[/C][C]-0.396879[/C][C]0.522713[/C][/ROW]
[ROW][C]21[/C][C]88.85[/C][C]88.4911[/C][C]88.8996[/C][C]-0.408442[/C][C]0.358859[/C][/ROW]
[ROW][C]22[/C][C]89.26[/C][C]88.9587[/C][C]89.1012[/C][C]-0.142504[/C][C]0.301254[/C][/ROW]
[ROW][C]23[/C][C]89.31[/C][C]89.1792[/C][C]89.2746[/C][C]-0.0953689[/C][C]0.130786[/C][/ROW]
[ROW][C]24[/C][C]89.39[/C][C]89.3799[/C][C]89.4283[/C][C]-0.0484418[/C][C]0.0101085[/C][/ROW]
[ROW][C]25[/C][C]89.76[/C][C]89.7137[/C][C]89.5529[/C][C]0.160829[/C][C]0.0462543[/C][/ROW]
[ROW][C]26[/C][C]89.94[/C][C]89.8674[/C][C]89.6312[/C][C]0.236141[/C][C]0.0726085[/C][/ROW]
[ROW][C]27[/C][C]89.99[/C][C]90.0817[/C][C]89.6775[/C][C]0.404162[/C][C]-0.0916623[/C][/ROW]
[ROW][C]28[/C][C]90.08[/C][C]90.0255[/C][C]89.6888[/C][C]0.336714[/C][C]0.0545356[/C][/ROW]
[ROW][C]29[/C][C]89.95[/C][C]89.862[/C][C]89.6733[/C][C]0.188641[/C][C]0.0880252[/C][/ROW]
[ROW][C]30[/C][C]90.2[/C][C]89.7332[/C][C]89.6496[/C][C]0.0836415[/C][C]0.466775[/C][/ROW]
[ROW][C]31[/C][C]89.7[/C][C]89.2919[/C][C]89.6104[/C][C]-0.318494[/C][C]0.408077[/C][/ROW]
[ROW][C]32[/C][C]89.5[/C][C]89.1648[/C][C]89.5617[/C][C]-0.396879[/C][C]0.335213[/C][/ROW]
[ROW][C]33[/C][C]89.25[/C][C]89.1053[/C][C]89.5138[/C][C]-0.408442[/C][C]0.144692[/C][/ROW]
[ROW][C]34[/C][C]89.13[/C][C]89.3229[/C][C]89.4654[/C][C]-0.142504[/C][C]-0.192912[/C][/ROW]
[ROW][C]35[/C][C]89.07[/C][C]89.3325[/C][C]89.4279[/C][C]-0.0953689[/C][C]-0.262548[/C][/ROW]
[ROW][C]36[/C][C]89.06[/C][C]89.3428[/C][C]89.3912[/C][C]-0.0484418[/C][C]-0.282808[/C][/ROW]
[ROW][C]37[/C][C]89.15[/C][C]89.5283[/C][C]89.3675[/C][C]0.160829[/C][C]-0.378329[/C][/ROW]
[ROW][C]38[/C][C]89.38[/C][C]89.6203[/C][C]89.3842[/C][C]0.236141[/C][C]-0.240308[/C][/ROW]
[ROW][C]39[/C][C]89.4[/C][C]89.8479[/C][C]89.4438[/C][C]0.404162[/C][C]-0.447912[/C][/ROW]
[ROW][C]40[/C][C]89.51[/C][C]89.8959[/C][C]89.5592[/C][C]0.336714[/C][C]-0.385881[/C][/ROW]
[ROW][C]41[/C][C]89.62[/C][C]89.9049[/C][C]89.7162[/C][C]0.188641[/C][C]-0.284891[/C][/ROW]
[ROW][C]42[/C][C]89.65[/C][C]89.9699[/C][C]89.8863[/C][C]0.0836415[/C][C]-0.319891[/C][/ROW]
[ROW][C]43[/C][C]89.68[/C][C]89.7657[/C][C]90.0842[/C][C]-0.318494[/C][C]-0.0856727[/C][/ROW]
[ROW][C]44[/C][C]89.92[/C][C]89.9356[/C][C]90.3325[/C][C]-0.396879[/C][C]-0.0156207[/C][/ROW]
[ROW][C]45[/C][C]90.26[/C][C]90.2295[/C][C]90.6379[/C][C]-0.408442[/C][C]0.0305252[/C][/ROW]
[ROW][C]46[/C][C]90.89[/C][C]90.8492[/C][C]90.9917[/C][C]-0.142504[/C][C]0.0408377[/C][/ROW]
[ROW][C]47[/C][C]91.08[/C][C]91.2688[/C][C]91.3642[/C][C]-0.0953689[/C][C]-0.188798[/C][/ROW]
[ROW][C]48[/C][C]91.13[/C][C]91.6974[/C][C]91.7458[/C][C]-0.0484418[/C][C]-0.567391[/C][/ROW]
[ROW][C]49[/C][C]91.83[/C][C]92.2912[/C][C]92.1304[/C][C]0.160829[/C][C]-0.461246[/C][/ROW]
[ROW][C]50[/C][C]92.66[/C][C]92.7482[/C][C]92.5121[/C][C]0.236141[/C][C]-0.0882248[/C][/ROW]
[ROW][C]51[/C][C]93.45[/C][C]93.2875[/C][C]92.8833[/C][C]0.404162[/C][C]0.162504[/C][/ROW]
[ROW][C]52[/C][C]93.95[/C][C]93.565[/C][C]93.2283[/C][C]0.336714[/C][C]0.384952[/C][/ROW]
[ROW][C]53[/C][C]94.12[/C][C]93.7582[/C][C]93.5696[/C][C]0.188641[/C][C]0.361775[/C][/ROW]
[ROW][C]54[/C][C]94.31[/C][C]94.022[/C][C]93.9383[/C][C]0.0836415[/C][C]0.288025[/C][/ROW]
[ROW][C]55[/C][C]94.25[/C][C]93.9886[/C][C]94.3071[/C][C]-0.318494[/C][C]0.261411[/C][/ROW]
[ROW][C]56[/C][C]94.51[/C][C]94.2423[/C][C]94.6392[/C][C]-0.396879[/C][C]0.267713[/C][/ROW]
[ROW][C]57[/C][C]94.58[/C][C]94.5166[/C][C]94.925[/C][C]-0.408442[/C][C]0.0634418[/C][/ROW]
[ROW][C]58[/C][C]94.85[/C][C]95.0175[/C][C]95.16[/C][C]-0.142504[/C][C]-0.167496[/C][/ROW]
[ROW][C]59[/C][C]95.31[/C][C]95.2621[/C][C]95.3575[/C][C]-0.0953689[/C][C]0.0478689[/C][/ROW]
[ROW][C]60[/C][C]95.75[/C][C]95.4811[/C][C]95.5296[/C][C]-0.0484418[/C][C]0.268859[/C][/ROW]
[ROW][C]61[/C][C]96.06[/C][C]95.8512[/C][C]95.6904[/C][C]0.160829[/C][C]0.208754[/C][/ROW]
[ROW][C]62[/C][C]96.4[/C][C]96.0995[/C][C]95.8633[/C][C]0.236141[/C][C]0.300525[/C][/ROW]
[ROW][C]63[/C][C]96.57[/C][C]96.4621[/C][C]96.0579[/C][C]0.404162[/C][C]0.107921[/C][/ROW]
[ROW][C]64[/C][C]96.47[/C][C]96.6213[/C][C]96.2846[/C][C]0.336714[/C][C]-0.151298[/C][/ROW]
[ROW][C]65[/C][C]96.34[/C][C]96.7182[/C][C]96.5296[/C][C]0.188641[/C][C]-0.378225[/C][/ROW]
[ROW][C]66[/C][C]96.22[/C][C]96.8491[/C][C]96.7654[/C][C]0.0836415[/C][C]-0.629058[/C][/ROW]
[ROW][C]67[/C][C]96.2[/C][C]96.6815[/C][C]97[/C][C]-0.318494[/C][C]-0.481506[/C][/ROW]
[ROW][C]68[/C][C]96.71[/C][C]96.8523[/C][C]97.2492[/C][C]-0.396879[/C][C]-0.142287[/C][/ROW]
[ROW][C]69[/C][C]97.05[/C][C]97.1082[/C][C]97.5167[/C][C]-0.408442[/C][C]-0.0582248[/C][/ROW]
[ROW][C]70[/C][C]97.82[/C][C]97.6596[/C][C]97.8021[/C][C]-0.142504[/C][C]0.160421[/C][/ROW]
[ROW][C]71[/C][C]98.22[/C][C]98.0105[/C][C]98.1058[/C][C]-0.0953689[/C][C]0.209536[/C][/ROW]
[ROW][C]72[/C][C]98.5[/C][C]98.3782[/C][C]98.4267[/C][C]-0.0484418[/C][C]0.121775[/C][/ROW]
[ROW][C]73[/C][C]98.94[/C][C]98.9121[/C][C]98.7512[/C][C]0.160829[/C][C]0.027921[/C][/ROW]
[ROW][C]74[/C][C]99.5[/C][C]99.2861[/C][C]99.05[/C][C]0.236141[/C][C]0.213859[/C][/ROW]
[ROW][C]75[/C][C]99.89[/C][C]99.7154[/C][C]99.3112[/C][C]0.404162[/C][C]0.174588[/C][/ROW]
[ROW][C]76[/C][C]100[/C][C]99.875[/C][C]99.5383[/C][C]0.336714[/C][C]0.124952[/C][/ROW]
[ROW][C]77[/C][C]100.1[/C][C]99.9274[/C][C]99.7388[/C][C]0.188641[/C][C]0.172609[/C][/ROW]
[ROW][C]78[/C][C]100.16[/C][C]100.002[/C][C]99.9179[/C][C]0.0836415[/C][C]0.158442[/C][/ROW]
[ROW][C]79[/C][C]100.05[/C][C]99.7423[/C][C]100.061[/C][C]-0.318494[/C][C]0.307661[/C][/ROW]
[ROW][C]80[/C][C]100.03[/C][C]99.754[/C][C]100.151[/C][C]-0.396879[/C][C]0.276046[/C][/ROW]
[ROW][C]81[/C][C]100[/C][C]99.7978[/C][C]100.206[/C][C]-0.408442[/C][C]0.202192[/C][/ROW]
[ROW][C]82[/C][C]100.32[/C][C]100.113[/C][C]100.255[/C][C]-0.142504[/C][C]0.207088[/C][/ROW]
[ROW][C]83[/C][C]100.53[/C][C]100.205[/C][C]100.3[/C][C]-0.0953689[/C][C]0.325369[/C][/ROW]
[ROW][C]84[/C][C]100.49[/C][C]100.275[/C][C]100.324[/C][C]-0.0484418[/C][C]0.214692[/C][/ROW]
[ROW][C]85[/C][C]100.38[/C][C]100.497[/C][C]100.337[/C][C]0.160829[/C][C]-0.117496[/C][/ROW]
[ROW][C]86[/C][C]100.22[/C][C]100.582[/C][C]100.346[/C][C]0.236141[/C][C]-0.361975[/C][/ROW]
[ROW][C]87[/C][C]100.5[/C][C]100.755[/C][C]100.35[/C][C]0.404162[/C][C]-0.254579[/C][/ROW]
[ROW][C]88[/C][C]100.57[/C][C]100.688[/C][C]100.352[/C][C]0.336714[/C][C]-0.118381[/C][/ROW]
[ROW][C]89[/C][C]100.6[/C][C]100.522[/C][C]100.334[/C][C]0.188641[/C][C]0.0776085[/C][/ROW]
[ROW][C]90[/C][C]100.23[/C][C]100.397[/C][C]100.314[/C][C]0.0836415[/C][C]-0.167391[/C][/ROW]
[ROW][C]91[/C][C]100.29[/C][C]100.004[/C][C]100.322[/C][C]-0.318494[/C][C]0.286411[/C][/ROW]
[ROW][C]92[/C][C]100.01[/C][C]99.9427[/C][C]100.34[/C][C]-0.396879[/C][C]0.067296[/C][/ROW]
[ROW][C]93[/C][C]100.13[/C][C]99.9595[/C][C]100.368[/C][C]-0.408442[/C][C]0.170525[/C][/ROW]
[ROW][C]94[/C][C]100.22[/C][C]100.272[/C][C]100.415[/C][C]-0.142504[/C][C]-0.0524957[/C][/ROW]
[ROW][C]95[/C][C]100.2[/C][C]100.358[/C][C]100.454[/C][C]-0.0953689[/C][C]-0.158381[/C][/ROW]
[ROW][C]96[/C][C]100.34[/C][C]100.466[/C][C]100.514[/C][C]-0.0484418[/C][C]-0.125725[/C][/ROW]
[ROW][C]97[/C][C]100.73[/C][C]100.772[/C][C]100.611[/C][C]0.160829[/C][C]-0.0416623[/C][/ROW]
[ROW][C]98[/C][C]100.29[/C][C]100.97[/C][C]100.734[/C][C]0.236141[/C][C]-0.680308[/C][/ROW]
[ROW][C]99[/C][C]101.11[/C][C]101.245[/C][C]100.84[/C][C]0.404162[/C][C]-0.134579[/C][/ROW]
[ROW][C]100[/C][C]101.09[/C][C]101.264[/C][C]100.927[/C][C]0.336714[/C][C]-0.173798[/C][/ROW]
[ROW][C]101[/C][C]101.01[/C][C]101.205[/C][C]101.016[/C][C]0.188641[/C][C]-0.194891[/C][/ROW]
[ROW][C]102[/C][C]101.27[/C][C]101.176[/C][C]101.092[/C][C]0.0836415[/C][C]0.0942752[/C][/ROW]
[ROW][C]103[/C][C]101.57[/C][C]NA[/C][C]NA[/C][C]-0.318494[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]101.69[/C][C]NA[/C][C]NA[/C][C]-0.396879[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101[/C][C]NA[/C][C]NA[/C][C]-0.408442[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.43[/C][C]NA[/C][C]NA[/C][C]-0.142504[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.13[/C][C]NA[/C][C]NA[/C][C]-0.0953689[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.23[/C][C]NA[/C][C]NA[/C][C]-0.0484418[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	77.34	NA	NA	0.160829	NA
2	78.15	NA	NA	0.236141	NA
3	78.31	NA	NA	0.404162	NA
4	78.71	NA	NA	0.336714	NA
5	78.68	NA	NA	0.188641	NA
6	78.85	NA	NA	0.0836415	NA
7	78.97	79.9653	80.2838	-0.318494	-0.995256
8	79.47	80.606	81.0029	-0.396879	-1.13604
9	80.6	81.337	81.7454	-0.408442	-0.736975
10	82.24	82.3617	82.5042	-0.142504	-0.121662
11	83.25	83.1788	83.2742	-0.0953689	0.0712023
12	84.55	84.0145	84.0629	-0.0484418	0.535525
13	85.91	85.0192	84.8583	0.160829	0.890838
14	86.84	85.8811	85.645	0.236141	0.958859
15	87.44	86.7812	86.3771	0.404162	0.658754
16	87.79	87.35	87.0133	0.336714	0.439952
17	88.08	87.747	87.5583	0.188641	0.333025
18	88.38	88.0961	88.0125	0.0836415	0.283859
19	88.53	88.0561	88.3746	-0.318494	0.473911
20	88.79	88.2673	88.6642	-0.396879	0.522713
21	88.85	88.4911	88.8996	-0.408442	0.358859
22	89.26	88.9587	89.1012	-0.142504	0.301254
23	89.31	89.1792	89.2746	-0.0953689	0.130786
24	89.39	89.3799	89.4283	-0.0484418	0.0101085
25	89.76	89.7137	89.5529	0.160829	0.0462543
26	89.94	89.8674	89.6312	0.236141	0.0726085
27	89.99	90.0817	89.6775	0.404162	-0.0916623
28	90.08	90.0255	89.6888	0.336714	0.0545356
29	89.95	89.862	89.6733	0.188641	0.0880252
30	90.2	89.7332	89.6496	0.0836415	0.466775
31	89.7	89.2919	89.6104	-0.318494	0.408077
32	89.5	89.1648	89.5617	-0.396879	0.335213
33	89.25	89.1053	89.5138	-0.408442	0.144692
34	89.13	89.3229	89.4654	-0.142504	-0.192912
35	89.07	89.3325	89.4279	-0.0953689	-0.262548
36	89.06	89.3428	89.3912	-0.0484418	-0.282808
37	89.15	89.5283	89.3675	0.160829	-0.378329
38	89.38	89.6203	89.3842	0.236141	-0.240308
39	89.4	89.8479	89.4438	0.404162	-0.447912
40	89.51	89.8959	89.5592	0.336714	-0.385881
41	89.62	89.9049	89.7162	0.188641	-0.284891
42	89.65	89.9699	89.8863	0.0836415	-0.319891
43	89.68	89.7657	90.0842	-0.318494	-0.0856727
44	89.92	89.9356	90.3325	-0.396879	-0.0156207
45	90.26	90.2295	90.6379	-0.408442	0.0305252
46	90.89	90.8492	90.9917	-0.142504	0.0408377
47	91.08	91.2688	91.3642	-0.0953689	-0.188798
48	91.13	91.6974	91.7458	-0.0484418	-0.567391
49	91.83	92.2912	92.1304	0.160829	-0.461246
50	92.66	92.7482	92.5121	0.236141	-0.0882248
51	93.45	93.2875	92.8833	0.404162	0.162504
52	93.95	93.565	93.2283	0.336714	0.384952
53	94.12	93.7582	93.5696	0.188641	0.361775
54	94.31	94.022	93.9383	0.0836415	0.288025
55	94.25	93.9886	94.3071	-0.318494	0.261411
56	94.51	94.2423	94.6392	-0.396879	0.267713
57	94.58	94.5166	94.925	-0.408442	0.0634418
58	94.85	95.0175	95.16	-0.142504	-0.167496
59	95.31	95.2621	95.3575	-0.0953689	0.0478689
60	95.75	95.4811	95.5296	-0.0484418	0.268859
61	96.06	95.8512	95.6904	0.160829	0.208754
62	96.4	96.0995	95.8633	0.236141	0.300525
63	96.57	96.4621	96.0579	0.404162	0.107921
64	96.47	96.6213	96.2846	0.336714	-0.151298
65	96.34	96.7182	96.5296	0.188641	-0.378225
66	96.22	96.8491	96.7654	0.0836415	-0.629058
67	96.2	96.6815	97	-0.318494	-0.481506
68	96.71	96.8523	97.2492	-0.396879	-0.142287
69	97.05	97.1082	97.5167	-0.408442	-0.0582248
70	97.82	97.6596	97.8021	-0.142504	0.160421
71	98.22	98.0105	98.1058	-0.0953689	0.209536
72	98.5	98.3782	98.4267	-0.0484418	0.121775
73	98.94	98.9121	98.7512	0.160829	0.027921
74	99.5	99.2861	99.05	0.236141	0.213859
75	99.89	99.7154	99.3112	0.404162	0.174588
76	100	99.875	99.5383	0.336714	0.124952
77	100.1	99.9274	99.7388	0.188641	0.172609
78	100.16	100.002	99.9179	0.0836415	0.158442
79	100.05	99.7423	100.061	-0.318494	0.307661
80	100.03	99.754	100.151	-0.396879	0.276046
81	100	99.7978	100.206	-0.408442	0.202192
82	100.32	100.113	100.255	-0.142504	0.207088
83	100.53	100.205	100.3	-0.0953689	0.325369
84	100.49	100.275	100.324	-0.0484418	0.214692
85	100.38	100.497	100.337	0.160829	-0.117496
86	100.22	100.582	100.346	0.236141	-0.361975
87	100.5	100.755	100.35	0.404162	-0.254579
88	100.57	100.688	100.352	0.336714	-0.118381
89	100.6	100.522	100.334	0.188641	0.0776085
90	100.23	100.397	100.314	0.0836415	-0.167391
91	100.29	100.004	100.322	-0.318494	0.286411
92	100.01	99.9427	100.34	-0.396879	0.067296
93	100.13	99.9595	100.368	-0.408442	0.170525
94	100.22	100.272	100.415	-0.142504	-0.0524957
95	100.2	100.358	100.454	-0.0953689	-0.158381
96	100.34	100.466	100.514	-0.0484418	-0.125725
97	100.73	100.772	100.611	0.160829	-0.0416623
98	100.29	100.97	100.734	0.236141	-0.680308
99	101.11	101.245	100.84	0.404162	-0.134579
100	101.09	101.264	100.927	0.336714	-0.173798
101	101.01	101.205	101.016	0.188641	-0.194891
102	101.27	101.176	101.092	0.0836415	0.0942752
103	101.57	NA	NA	-0.318494	NA
104	101.69	NA	NA	-0.396879	NA
105	101	NA	NA	-0.408442	NA
106	101.43	NA	NA	-0.142504	NA
107	101.13	NA	NA	-0.0953689	NA
108	101.23	NA	NA	-0.0484418	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