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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 24 Nov 2015 12:52:12 +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/t1448369590f4cgt3xtg9gcpwn.htm/, Retrieved Tue, 14 May 2024 15:22:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284012, Retrieved Tue, 14 May 2024 15:22:16 +0000

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Estimated Impact

118

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-       [Classical Decomposition] [opdracht 9 oefeni...] [2015-11-24 12:52:12] [cd0005da8c1be4acc9acd7984e542112] [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=284012&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=284012&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284012&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	85.13	NA	NA	-0.000633681	NA
2	85.54	NA	NA	0.275668	NA
3	85.47	NA	NA	0.193273	NA
4	85.78	NA	NA	0.107283	NA
5	86.07	NA	NA	0.104835	NA
6	86.05	NA	NA	0.0108247	NA
7	86.32	86.2046	86.1433	0.0612934	0.115373
8	86.43	86.189	86.29	-0.100998	0.240998
9	86.41	86.2396	86.4333	-0.193759	0.170425
10	86.38	86.3972	86.5708	-0.173655	-0.0171788
11	86.59	86.5343	86.6871	-0.152821	0.0557378
12	86.68	86.6504	86.7817	-0.131311	0.0296441
13	86.87	86.8777	86.8783	-0.000633681	-0.00769965
14	87.32	87.2482	86.9725	0.275668	0.0718316
15	87.13	87.2566	87.0633	0.193273	-0.126606
16	87.42	87.2819	87.1746	0.107283	0.138134
17	87.22	87.4253	87.3204	0.104835	-0.205252
18	87.17	87.5075	87.4967	0.0108247	-0.337491
19	87.52	87.7542	87.6929	0.0612934	-0.23421
20	87.49	87.8053	87.9062	-0.100998	-0.315252
21	87.53	87.9658	88.1596	-0.193759	-0.435825
22	87.93	88.2613	88.435	-0.173655	-0.331345
23	88.54	88.5843	88.7371	-0.152821	-0.0442622
24	88.96	88.9579	89.0892	-0.131311	0.0021441
25	89.3	89.4631	89.4638	-0.000633681	-0.163116
26	90.01	90.1098	89.8342	0.275668	-0.0998351
27	90.52	90.3949	90.2017	0.193273	0.125061
28	90.64	90.6723	90.565	0.107283	-0.032283
29	91.25	90.989	90.8842	0.104835	0.260998
30	91.59	91.1696	91.1587	0.0108247	0.420425
31	92.09	91.4755	91.4142	0.0612934	0.61454
32	91.81	91.5423	91.6433	-0.100998	0.267665
33	92.03	91.615	91.8087	-0.193759	0.415009
34	92.15	91.7543	91.9279	-0.173655	0.395738
35	91.98	91.8597	92.0125	-0.152821	0.120321
36	92.11	91.9029	92.0342	-0.131311	0.207144
37	92.28	92.0039	92.0046	-0.000633681	0.27605
38	92.53	92.2473	91.9717	0.275668	0.282665
39	91.97	92.1337	91.9404	0.193273	-0.163689
40	92.05	92.0014	91.8942	0.107283	0.0485503
41	91.87	91.9648	91.86	0.104835	-0.0948351
42	91.49	91.8492	91.8383	0.0108247	-0.359158
43	91.48	91.8867	91.8254	0.0612934	-0.40671
44	91.63	91.7265	91.8275	-0.100998	-0.0965017
45	91.46	91.6746	91.8683	-0.193759	-0.214575
46	91.61	91.7709	91.9446	-0.173655	-0.160929
47	91.7	91.893	92.0458	-0.152821	-0.193012
48	91.87	92.0529	92.1842	-0.131311	-0.182856
49	92.21	92.3431	92.3438	-0.000633681	-0.133116
50	92.65	92.7798	92.5042	0.275668	-0.129835
51	92.83	92.8733	92.68	0.193273	-0.0432726
52	93.02	92.9819	92.8746	0.107283	0.0381337
53	93.33	93.1732	93.0683	0.104835	0.156832
54	93.35	93.2754	93.2646	0.0108247	0.074592
55	93.45	93.5296	93.4683	0.0612934	-0.0796267
56	93.51	93.5803	93.6812	-0.100998	-0.0702517
57	93.8	93.7092	93.9029	-0.193759	0.090842
58	93.94	93.9534	94.1271	-0.173655	-0.0134288
59	94.02	94.198	94.3508	-0.152821	-0.178012
60	94.26	94.4591	94.5904	-0.131311	-0.199106
61	94.71	94.846	94.8467	-0.000633681	-0.136033
62	95.26	95.374	95.0983	0.275668	-0.114002
63	95.54	95.5329	95.3396	0.193273	0.0071441
64	95.69	95.6864	95.5792	0.107283	0.00355035
65	96.03	95.9378	95.8329	0.104835	0.0922483
66	96.4	96.1037	96.0929	0.0108247	0.296259
67	96.55	96.4146	96.3533	0.0612934	0.135373
68	96.45	96.5211	96.6221	-0.100998	-0.0710851
69	96.65	96.6887	96.8825	-0.193759	-0.0387413
70	96.84	96.9518	97.1254	-0.173655	-0.111762
71	97.21	97.2001	97.3529	-0.152821	0.00990451
72	97.31	97.4199	97.5512	-0.131311	-0.109939
73	97.91	97.7294	97.73	-0.000633681	0.180634
74	98.51	98.1986	97.9229	0.275668	0.311415
75	98.54	98.3154	98.1221	0.193273	0.224644
76	98.52	98.426	98.3187	0.107283	0.093967
77	98.66	98.6119	98.5071	0.104835	0.0480816
78	98.53	98.6933	98.6825	0.0108247	-0.163325
79	98.71	98.8917	98.8304	0.0612934	-0.18171
80	98.92	98.8344	98.9354	-0.100998	0.0855816
81	98.96	98.8375	99.0312	-0.193759	0.122509
82	99.25	98.9609	99.1346	-0.173655	0.289071
83	99.32	99.0909	99.2437	-0.152821	0.229071
84	99.41	99.2391	99.3704	-0.131311	0.170894
85	99.36	99.5031	99.5037	-0.000633681	-0.143116
86	99.58	99.8923	99.6167	0.275668	-0.312335
87	99.77	99.9037	99.7104	0.193273	-0.133689
88	99.77	99.901	99.7938	0.107283	-0.131033
89	100.03	99.9778	99.8729	0.104835	0.0522483
90	100.2	99.9658	99.955	0.0108247	0.234175
91	100.24	100.11	100.048	0.0612934	0.130373
92	100.1	100.048	100.149	-0.100998	0.0522483
93	100.03	100.046	100.24	-0.193759	-0.0162413
94	100.18	100.137	100.31	-0.173655	0.0432378
95	100.29	100.196	100.349	-0.152821	0.0936545
96	100.41	100.235	100.366	-0.131311	0.175477
97	100.6	100.38	100.381	-0.000633681	0.2198
98	100.75	100.667	100.391	0.275668	0.0834983
99	100.79	100.586	100.393	0.193273	0.203811
100	100.44	100.506	100.398	0.107283	-0.0656163
101	100.29	100.507	100.402	0.104835	-0.216918
102	100.34	100.412	100.401	0.0108247	-0.0720747
103	100.46	NA	NA	0.0612934	NA
104	100.12	NA	NA	-0.100998	NA
105	100.06	NA	NA	-0.193759	NA
106	100.28	NA	NA	-0.173655	NA
107	100.28	NA	NA	-0.152821	NA
108	100.4	NA	NA	-0.131311	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 85.13 & NA & NA & -0.000633681 & NA \tabularnewline
2 & 85.54 & NA & NA & 0.275668 & NA \tabularnewline
3 & 85.47 & NA & NA & 0.193273 & NA \tabularnewline
4 & 85.78 & NA & NA & 0.107283 & NA \tabularnewline
5 & 86.07 & NA & NA & 0.104835 & NA \tabularnewline
6 & 86.05 & NA & NA & 0.0108247 & NA \tabularnewline
7 & 86.32 & 86.2046 & 86.1433 & 0.0612934 & 0.115373 \tabularnewline
8 & 86.43 & 86.189 & 86.29 & -0.100998 & 0.240998 \tabularnewline
9 & 86.41 & 86.2396 & 86.4333 & -0.193759 & 0.170425 \tabularnewline
10 & 86.38 & 86.3972 & 86.5708 & -0.173655 & -0.0171788 \tabularnewline
11 & 86.59 & 86.5343 & 86.6871 & -0.152821 & 0.0557378 \tabularnewline
12 & 86.68 & 86.6504 & 86.7817 & -0.131311 & 0.0296441 \tabularnewline
13 & 86.87 & 86.8777 & 86.8783 & -0.000633681 & -0.00769965 \tabularnewline
14 & 87.32 & 87.2482 & 86.9725 & 0.275668 & 0.0718316 \tabularnewline
15 & 87.13 & 87.2566 & 87.0633 & 0.193273 & -0.126606 \tabularnewline
16 & 87.42 & 87.2819 & 87.1746 & 0.107283 & 0.138134 \tabularnewline
17 & 87.22 & 87.4253 & 87.3204 & 0.104835 & -0.205252 \tabularnewline
18 & 87.17 & 87.5075 & 87.4967 & 0.0108247 & -0.337491 \tabularnewline
19 & 87.52 & 87.7542 & 87.6929 & 0.0612934 & -0.23421 \tabularnewline
20 & 87.49 & 87.8053 & 87.9062 & -0.100998 & -0.315252 \tabularnewline
21 & 87.53 & 87.9658 & 88.1596 & -0.193759 & -0.435825 \tabularnewline
22 & 87.93 & 88.2613 & 88.435 & -0.173655 & -0.331345 \tabularnewline
23 & 88.54 & 88.5843 & 88.7371 & -0.152821 & -0.0442622 \tabularnewline
24 & 88.96 & 88.9579 & 89.0892 & -0.131311 & 0.0021441 \tabularnewline
25 & 89.3 & 89.4631 & 89.4638 & -0.000633681 & -0.163116 \tabularnewline
26 & 90.01 & 90.1098 & 89.8342 & 0.275668 & -0.0998351 \tabularnewline
27 & 90.52 & 90.3949 & 90.2017 & 0.193273 & 0.125061 \tabularnewline
28 & 90.64 & 90.6723 & 90.565 & 0.107283 & -0.032283 \tabularnewline
29 & 91.25 & 90.989 & 90.8842 & 0.104835 & 0.260998 \tabularnewline
30 & 91.59 & 91.1696 & 91.1587 & 0.0108247 & 0.420425 \tabularnewline
31 & 92.09 & 91.4755 & 91.4142 & 0.0612934 & 0.61454 \tabularnewline
32 & 91.81 & 91.5423 & 91.6433 & -0.100998 & 0.267665 \tabularnewline
33 & 92.03 & 91.615 & 91.8087 & -0.193759 & 0.415009 \tabularnewline
34 & 92.15 & 91.7543 & 91.9279 & -0.173655 & 0.395738 \tabularnewline
35 & 91.98 & 91.8597 & 92.0125 & -0.152821 & 0.120321 \tabularnewline
36 & 92.11 & 91.9029 & 92.0342 & -0.131311 & 0.207144 \tabularnewline
37 & 92.28 & 92.0039 & 92.0046 & -0.000633681 & 0.27605 \tabularnewline
38 & 92.53 & 92.2473 & 91.9717 & 0.275668 & 0.282665 \tabularnewline
39 & 91.97 & 92.1337 & 91.9404 & 0.193273 & -0.163689 \tabularnewline
40 & 92.05 & 92.0014 & 91.8942 & 0.107283 & 0.0485503 \tabularnewline
41 & 91.87 & 91.9648 & 91.86 & 0.104835 & -0.0948351 \tabularnewline
42 & 91.49 & 91.8492 & 91.8383 & 0.0108247 & -0.359158 \tabularnewline
43 & 91.48 & 91.8867 & 91.8254 & 0.0612934 & -0.40671 \tabularnewline
44 & 91.63 & 91.7265 & 91.8275 & -0.100998 & -0.0965017 \tabularnewline
45 & 91.46 & 91.6746 & 91.8683 & -0.193759 & -0.214575 \tabularnewline
46 & 91.61 & 91.7709 & 91.9446 & -0.173655 & -0.160929 \tabularnewline
47 & 91.7 & 91.893 & 92.0458 & -0.152821 & -0.193012 \tabularnewline
48 & 91.87 & 92.0529 & 92.1842 & -0.131311 & -0.182856 \tabularnewline
49 & 92.21 & 92.3431 & 92.3438 & -0.000633681 & -0.133116 \tabularnewline
50 & 92.65 & 92.7798 & 92.5042 & 0.275668 & -0.129835 \tabularnewline
51 & 92.83 & 92.8733 & 92.68 & 0.193273 & -0.0432726 \tabularnewline
52 & 93.02 & 92.9819 & 92.8746 & 0.107283 & 0.0381337 \tabularnewline
53 & 93.33 & 93.1732 & 93.0683 & 0.104835 & 0.156832 \tabularnewline
54 & 93.35 & 93.2754 & 93.2646 & 0.0108247 & 0.074592 \tabularnewline
55 & 93.45 & 93.5296 & 93.4683 & 0.0612934 & -0.0796267 \tabularnewline
56 & 93.51 & 93.5803 & 93.6812 & -0.100998 & -0.0702517 \tabularnewline
57 & 93.8 & 93.7092 & 93.9029 & -0.193759 & 0.090842 \tabularnewline
58 & 93.94 & 93.9534 & 94.1271 & -0.173655 & -0.0134288 \tabularnewline
59 & 94.02 & 94.198 & 94.3508 & -0.152821 & -0.178012 \tabularnewline
60 & 94.26 & 94.4591 & 94.5904 & -0.131311 & -0.199106 \tabularnewline
61 & 94.71 & 94.846 & 94.8467 & -0.000633681 & -0.136033 \tabularnewline
62 & 95.26 & 95.374 & 95.0983 & 0.275668 & -0.114002 \tabularnewline
63 & 95.54 & 95.5329 & 95.3396 & 0.193273 & 0.0071441 \tabularnewline
64 & 95.69 & 95.6864 & 95.5792 & 0.107283 & 0.00355035 \tabularnewline
65 & 96.03 & 95.9378 & 95.8329 & 0.104835 & 0.0922483 \tabularnewline
66 & 96.4 & 96.1037 & 96.0929 & 0.0108247 & 0.296259 \tabularnewline
67 & 96.55 & 96.4146 & 96.3533 & 0.0612934 & 0.135373 \tabularnewline
68 & 96.45 & 96.5211 & 96.6221 & -0.100998 & -0.0710851 \tabularnewline
69 & 96.65 & 96.6887 & 96.8825 & -0.193759 & -0.0387413 \tabularnewline
70 & 96.84 & 96.9518 & 97.1254 & -0.173655 & -0.111762 \tabularnewline
71 & 97.21 & 97.2001 & 97.3529 & -0.152821 & 0.00990451 \tabularnewline
72 & 97.31 & 97.4199 & 97.5512 & -0.131311 & -0.109939 \tabularnewline
73 & 97.91 & 97.7294 & 97.73 & -0.000633681 & 0.180634 \tabularnewline
74 & 98.51 & 98.1986 & 97.9229 & 0.275668 & 0.311415 \tabularnewline
75 & 98.54 & 98.3154 & 98.1221 & 0.193273 & 0.224644 \tabularnewline
76 & 98.52 & 98.426 & 98.3187 & 0.107283 & 0.093967 \tabularnewline
77 & 98.66 & 98.6119 & 98.5071 & 0.104835 & 0.0480816 \tabularnewline
78 & 98.53 & 98.6933 & 98.6825 & 0.0108247 & -0.163325 \tabularnewline
79 & 98.71 & 98.8917 & 98.8304 & 0.0612934 & -0.18171 \tabularnewline
80 & 98.92 & 98.8344 & 98.9354 & -0.100998 & 0.0855816 \tabularnewline
81 & 98.96 & 98.8375 & 99.0312 & -0.193759 & 0.122509 \tabularnewline
82 & 99.25 & 98.9609 & 99.1346 & -0.173655 & 0.289071 \tabularnewline
83 & 99.32 & 99.0909 & 99.2437 & -0.152821 & 0.229071 \tabularnewline
84 & 99.41 & 99.2391 & 99.3704 & -0.131311 & 0.170894 \tabularnewline
85 & 99.36 & 99.5031 & 99.5037 & -0.000633681 & -0.143116 \tabularnewline
86 & 99.58 & 99.8923 & 99.6167 & 0.275668 & -0.312335 \tabularnewline
87 & 99.77 & 99.9037 & 99.7104 & 0.193273 & -0.133689 \tabularnewline
88 & 99.77 & 99.901 & 99.7938 & 0.107283 & -0.131033 \tabularnewline
89 & 100.03 & 99.9778 & 99.8729 & 0.104835 & 0.0522483 \tabularnewline
90 & 100.2 & 99.9658 & 99.955 & 0.0108247 & 0.234175 \tabularnewline
91 & 100.24 & 100.11 & 100.048 & 0.0612934 & 0.130373 \tabularnewline
92 & 100.1 & 100.048 & 100.149 & -0.100998 & 0.0522483 \tabularnewline
93 & 100.03 & 100.046 & 100.24 & -0.193759 & -0.0162413 \tabularnewline
94 & 100.18 & 100.137 & 100.31 & -0.173655 & 0.0432378 \tabularnewline
95 & 100.29 & 100.196 & 100.349 & -0.152821 & 0.0936545 \tabularnewline
96 & 100.41 & 100.235 & 100.366 & -0.131311 & 0.175477 \tabularnewline
97 & 100.6 & 100.38 & 100.381 & -0.000633681 & 0.2198 \tabularnewline
98 & 100.75 & 100.667 & 100.391 & 0.275668 & 0.0834983 \tabularnewline
99 & 100.79 & 100.586 & 100.393 & 0.193273 & 0.203811 \tabularnewline
100 & 100.44 & 100.506 & 100.398 & 0.107283 & -0.0656163 \tabularnewline
101 & 100.29 & 100.507 & 100.402 & 0.104835 & -0.216918 \tabularnewline
102 & 100.34 & 100.412 & 100.401 & 0.0108247 & -0.0720747 \tabularnewline
103 & 100.46 & NA & NA & 0.0612934 & NA \tabularnewline
104 & 100.12 & NA & NA & -0.100998 & NA \tabularnewline
105 & 100.06 & NA & NA & -0.193759 & NA \tabularnewline
106 & 100.28 & NA & NA & -0.173655 & NA \tabularnewline
107 & 100.28 & NA & NA & -0.152821 & NA \tabularnewline
108 & 100.4 & NA & NA & -0.131311 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284012&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]85.13[/C][C]NA[/C][C]NA[/C][C]-0.000633681[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]85.54[/C][C]NA[/C][C]NA[/C][C]0.275668[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]85.47[/C][C]NA[/C][C]NA[/C][C]0.193273[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]85.78[/C][C]NA[/C][C]NA[/C][C]0.107283[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]86.07[/C][C]NA[/C][C]NA[/C][C]0.104835[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]86.05[/C][C]NA[/C][C]NA[/C][C]0.0108247[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]86.32[/C][C]86.2046[/C][C]86.1433[/C][C]0.0612934[/C][C]0.115373[/C][/ROW]
[ROW][C]8[/C][C]86.43[/C][C]86.189[/C][C]86.29[/C][C]-0.100998[/C][C]0.240998[/C][/ROW]
[ROW][C]9[/C][C]86.41[/C][C]86.2396[/C][C]86.4333[/C][C]-0.193759[/C][C]0.170425[/C][/ROW]
[ROW][C]10[/C][C]86.38[/C][C]86.3972[/C][C]86.5708[/C][C]-0.173655[/C][C]-0.0171788[/C][/ROW]
[ROW][C]11[/C][C]86.59[/C][C]86.5343[/C][C]86.6871[/C][C]-0.152821[/C][C]0.0557378[/C][/ROW]
[ROW][C]12[/C][C]86.68[/C][C]86.6504[/C][C]86.7817[/C][C]-0.131311[/C][C]0.0296441[/C][/ROW]
[ROW][C]13[/C][C]86.87[/C][C]86.8777[/C][C]86.8783[/C][C]-0.000633681[/C][C]-0.00769965[/C][/ROW]
[ROW][C]14[/C][C]87.32[/C][C]87.2482[/C][C]86.9725[/C][C]0.275668[/C][C]0.0718316[/C][/ROW]
[ROW][C]15[/C][C]87.13[/C][C]87.2566[/C][C]87.0633[/C][C]0.193273[/C][C]-0.126606[/C][/ROW]
[ROW][C]16[/C][C]87.42[/C][C]87.2819[/C][C]87.1746[/C][C]0.107283[/C][C]0.138134[/C][/ROW]
[ROW][C]17[/C][C]87.22[/C][C]87.4253[/C][C]87.3204[/C][C]0.104835[/C][C]-0.205252[/C][/ROW]
[ROW][C]18[/C][C]87.17[/C][C]87.5075[/C][C]87.4967[/C][C]0.0108247[/C][C]-0.337491[/C][/ROW]
[ROW][C]19[/C][C]87.52[/C][C]87.7542[/C][C]87.6929[/C][C]0.0612934[/C][C]-0.23421[/C][/ROW]
[ROW][C]20[/C][C]87.49[/C][C]87.8053[/C][C]87.9062[/C][C]-0.100998[/C][C]-0.315252[/C][/ROW]
[ROW][C]21[/C][C]87.53[/C][C]87.9658[/C][C]88.1596[/C][C]-0.193759[/C][C]-0.435825[/C][/ROW]
[ROW][C]22[/C][C]87.93[/C][C]88.2613[/C][C]88.435[/C][C]-0.173655[/C][C]-0.331345[/C][/ROW]
[ROW][C]23[/C][C]88.54[/C][C]88.5843[/C][C]88.7371[/C][C]-0.152821[/C][C]-0.0442622[/C][/ROW]
[ROW][C]24[/C][C]88.96[/C][C]88.9579[/C][C]89.0892[/C][C]-0.131311[/C][C]0.0021441[/C][/ROW]
[ROW][C]25[/C][C]89.3[/C][C]89.4631[/C][C]89.4638[/C][C]-0.000633681[/C][C]-0.163116[/C][/ROW]
[ROW][C]26[/C][C]90.01[/C][C]90.1098[/C][C]89.8342[/C][C]0.275668[/C][C]-0.0998351[/C][/ROW]
[ROW][C]27[/C][C]90.52[/C][C]90.3949[/C][C]90.2017[/C][C]0.193273[/C][C]0.125061[/C][/ROW]
[ROW][C]28[/C][C]90.64[/C][C]90.6723[/C][C]90.565[/C][C]0.107283[/C][C]-0.032283[/C][/ROW]
[ROW][C]29[/C][C]91.25[/C][C]90.989[/C][C]90.8842[/C][C]0.104835[/C][C]0.260998[/C][/ROW]
[ROW][C]30[/C][C]91.59[/C][C]91.1696[/C][C]91.1587[/C][C]0.0108247[/C][C]0.420425[/C][/ROW]
[ROW][C]31[/C][C]92.09[/C][C]91.4755[/C][C]91.4142[/C][C]0.0612934[/C][C]0.61454[/C][/ROW]
[ROW][C]32[/C][C]91.81[/C][C]91.5423[/C][C]91.6433[/C][C]-0.100998[/C][C]0.267665[/C][/ROW]
[ROW][C]33[/C][C]92.03[/C][C]91.615[/C][C]91.8087[/C][C]-0.193759[/C][C]0.415009[/C][/ROW]
[ROW][C]34[/C][C]92.15[/C][C]91.7543[/C][C]91.9279[/C][C]-0.173655[/C][C]0.395738[/C][/ROW]
[ROW][C]35[/C][C]91.98[/C][C]91.8597[/C][C]92.0125[/C][C]-0.152821[/C][C]0.120321[/C][/ROW]
[ROW][C]36[/C][C]92.11[/C][C]91.9029[/C][C]92.0342[/C][C]-0.131311[/C][C]0.207144[/C][/ROW]
[ROW][C]37[/C][C]92.28[/C][C]92.0039[/C][C]92.0046[/C][C]-0.000633681[/C][C]0.27605[/C][/ROW]
[ROW][C]38[/C][C]92.53[/C][C]92.2473[/C][C]91.9717[/C][C]0.275668[/C][C]0.282665[/C][/ROW]
[ROW][C]39[/C][C]91.97[/C][C]92.1337[/C][C]91.9404[/C][C]0.193273[/C][C]-0.163689[/C][/ROW]
[ROW][C]40[/C][C]92.05[/C][C]92.0014[/C][C]91.8942[/C][C]0.107283[/C][C]0.0485503[/C][/ROW]
[ROW][C]41[/C][C]91.87[/C][C]91.9648[/C][C]91.86[/C][C]0.104835[/C][C]-0.0948351[/C][/ROW]
[ROW][C]42[/C][C]91.49[/C][C]91.8492[/C][C]91.8383[/C][C]0.0108247[/C][C]-0.359158[/C][/ROW]
[ROW][C]43[/C][C]91.48[/C][C]91.8867[/C][C]91.8254[/C][C]0.0612934[/C][C]-0.40671[/C][/ROW]
[ROW][C]44[/C][C]91.63[/C][C]91.7265[/C][C]91.8275[/C][C]-0.100998[/C][C]-0.0965017[/C][/ROW]
[ROW][C]45[/C][C]91.46[/C][C]91.6746[/C][C]91.8683[/C][C]-0.193759[/C][C]-0.214575[/C][/ROW]
[ROW][C]46[/C][C]91.61[/C][C]91.7709[/C][C]91.9446[/C][C]-0.173655[/C][C]-0.160929[/C][/ROW]
[ROW][C]47[/C][C]91.7[/C][C]91.893[/C][C]92.0458[/C][C]-0.152821[/C][C]-0.193012[/C][/ROW]
[ROW][C]48[/C][C]91.87[/C][C]92.0529[/C][C]92.1842[/C][C]-0.131311[/C][C]-0.182856[/C][/ROW]
[ROW][C]49[/C][C]92.21[/C][C]92.3431[/C][C]92.3438[/C][C]-0.000633681[/C][C]-0.133116[/C][/ROW]
[ROW][C]50[/C][C]92.65[/C][C]92.7798[/C][C]92.5042[/C][C]0.275668[/C][C]-0.129835[/C][/ROW]
[ROW][C]51[/C][C]92.83[/C][C]92.8733[/C][C]92.68[/C][C]0.193273[/C][C]-0.0432726[/C][/ROW]
[ROW][C]52[/C][C]93.02[/C][C]92.9819[/C][C]92.8746[/C][C]0.107283[/C][C]0.0381337[/C][/ROW]
[ROW][C]53[/C][C]93.33[/C][C]93.1732[/C][C]93.0683[/C][C]0.104835[/C][C]0.156832[/C][/ROW]
[ROW][C]54[/C][C]93.35[/C][C]93.2754[/C][C]93.2646[/C][C]0.0108247[/C][C]0.074592[/C][/ROW]
[ROW][C]55[/C][C]93.45[/C][C]93.5296[/C][C]93.4683[/C][C]0.0612934[/C][C]-0.0796267[/C][/ROW]
[ROW][C]56[/C][C]93.51[/C][C]93.5803[/C][C]93.6812[/C][C]-0.100998[/C][C]-0.0702517[/C][/ROW]
[ROW][C]57[/C][C]93.8[/C][C]93.7092[/C][C]93.9029[/C][C]-0.193759[/C][C]0.090842[/C][/ROW]
[ROW][C]58[/C][C]93.94[/C][C]93.9534[/C][C]94.1271[/C][C]-0.173655[/C][C]-0.0134288[/C][/ROW]
[ROW][C]59[/C][C]94.02[/C][C]94.198[/C][C]94.3508[/C][C]-0.152821[/C][C]-0.178012[/C][/ROW]
[ROW][C]60[/C][C]94.26[/C][C]94.4591[/C][C]94.5904[/C][C]-0.131311[/C][C]-0.199106[/C][/ROW]
[ROW][C]61[/C][C]94.71[/C][C]94.846[/C][C]94.8467[/C][C]-0.000633681[/C][C]-0.136033[/C][/ROW]
[ROW][C]62[/C][C]95.26[/C][C]95.374[/C][C]95.0983[/C][C]0.275668[/C][C]-0.114002[/C][/ROW]
[ROW][C]63[/C][C]95.54[/C][C]95.5329[/C][C]95.3396[/C][C]0.193273[/C][C]0.0071441[/C][/ROW]
[ROW][C]64[/C][C]95.69[/C][C]95.6864[/C][C]95.5792[/C][C]0.107283[/C][C]0.00355035[/C][/ROW]
[ROW][C]65[/C][C]96.03[/C][C]95.9378[/C][C]95.8329[/C][C]0.104835[/C][C]0.0922483[/C][/ROW]
[ROW][C]66[/C][C]96.4[/C][C]96.1037[/C][C]96.0929[/C][C]0.0108247[/C][C]0.296259[/C][/ROW]
[ROW][C]67[/C][C]96.55[/C][C]96.4146[/C][C]96.3533[/C][C]0.0612934[/C][C]0.135373[/C][/ROW]
[ROW][C]68[/C][C]96.45[/C][C]96.5211[/C][C]96.6221[/C][C]-0.100998[/C][C]-0.0710851[/C][/ROW]
[ROW][C]69[/C][C]96.65[/C][C]96.6887[/C][C]96.8825[/C][C]-0.193759[/C][C]-0.0387413[/C][/ROW]
[ROW][C]70[/C][C]96.84[/C][C]96.9518[/C][C]97.1254[/C][C]-0.173655[/C][C]-0.111762[/C][/ROW]
[ROW][C]71[/C][C]97.21[/C][C]97.2001[/C][C]97.3529[/C][C]-0.152821[/C][C]0.00990451[/C][/ROW]
[ROW][C]72[/C][C]97.31[/C][C]97.4199[/C][C]97.5512[/C][C]-0.131311[/C][C]-0.109939[/C][/ROW]
[ROW][C]73[/C][C]97.91[/C][C]97.7294[/C][C]97.73[/C][C]-0.000633681[/C][C]0.180634[/C][/ROW]
[ROW][C]74[/C][C]98.51[/C][C]98.1986[/C][C]97.9229[/C][C]0.275668[/C][C]0.311415[/C][/ROW]
[ROW][C]75[/C][C]98.54[/C][C]98.3154[/C][C]98.1221[/C][C]0.193273[/C][C]0.224644[/C][/ROW]
[ROW][C]76[/C][C]98.52[/C][C]98.426[/C][C]98.3187[/C][C]0.107283[/C][C]0.093967[/C][/ROW]
[ROW][C]77[/C][C]98.66[/C][C]98.6119[/C][C]98.5071[/C][C]0.104835[/C][C]0.0480816[/C][/ROW]
[ROW][C]78[/C][C]98.53[/C][C]98.6933[/C][C]98.6825[/C][C]0.0108247[/C][C]-0.163325[/C][/ROW]
[ROW][C]79[/C][C]98.71[/C][C]98.8917[/C][C]98.8304[/C][C]0.0612934[/C][C]-0.18171[/C][/ROW]
[ROW][C]80[/C][C]98.92[/C][C]98.8344[/C][C]98.9354[/C][C]-0.100998[/C][C]0.0855816[/C][/ROW]
[ROW][C]81[/C][C]98.96[/C][C]98.8375[/C][C]99.0312[/C][C]-0.193759[/C][C]0.122509[/C][/ROW]
[ROW][C]82[/C][C]99.25[/C][C]98.9609[/C][C]99.1346[/C][C]-0.173655[/C][C]0.289071[/C][/ROW]
[ROW][C]83[/C][C]99.32[/C][C]99.0909[/C][C]99.2437[/C][C]-0.152821[/C][C]0.229071[/C][/ROW]
[ROW][C]84[/C][C]99.41[/C][C]99.2391[/C][C]99.3704[/C][C]-0.131311[/C][C]0.170894[/C][/ROW]
[ROW][C]85[/C][C]99.36[/C][C]99.5031[/C][C]99.5037[/C][C]-0.000633681[/C][C]-0.143116[/C][/ROW]
[ROW][C]86[/C][C]99.58[/C][C]99.8923[/C][C]99.6167[/C][C]0.275668[/C][C]-0.312335[/C][/ROW]
[ROW][C]87[/C][C]99.77[/C][C]99.9037[/C][C]99.7104[/C][C]0.193273[/C][C]-0.133689[/C][/ROW]
[ROW][C]88[/C][C]99.77[/C][C]99.901[/C][C]99.7938[/C][C]0.107283[/C][C]-0.131033[/C][/ROW]
[ROW][C]89[/C][C]100.03[/C][C]99.9778[/C][C]99.8729[/C][C]0.104835[/C][C]0.0522483[/C][/ROW]
[ROW][C]90[/C][C]100.2[/C][C]99.9658[/C][C]99.955[/C][C]0.0108247[/C][C]0.234175[/C][/ROW]
[ROW][C]91[/C][C]100.24[/C][C]100.11[/C][C]100.048[/C][C]0.0612934[/C][C]0.130373[/C][/ROW]
[ROW][C]92[/C][C]100.1[/C][C]100.048[/C][C]100.149[/C][C]-0.100998[/C][C]0.0522483[/C][/ROW]
[ROW][C]93[/C][C]100.03[/C][C]100.046[/C][C]100.24[/C][C]-0.193759[/C][C]-0.0162413[/C][/ROW]
[ROW][C]94[/C][C]100.18[/C][C]100.137[/C][C]100.31[/C][C]-0.173655[/C][C]0.0432378[/C][/ROW]
[ROW][C]95[/C][C]100.29[/C][C]100.196[/C][C]100.349[/C][C]-0.152821[/C][C]0.0936545[/C][/ROW]
[ROW][C]96[/C][C]100.41[/C][C]100.235[/C][C]100.366[/C][C]-0.131311[/C][C]0.175477[/C][/ROW]
[ROW][C]97[/C][C]100.6[/C][C]100.38[/C][C]100.381[/C][C]-0.000633681[/C][C]0.2198[/C][/ROW]
[ROW][C]98[/C][C]100.75[/C][C]100.667[/C][C]100.391[/C][C]0.275668[/C][C]0.0834983[/C][/ROW]
[ROW][C]99[/C][C]100.79[/C][C]100.586[/C][C]100.393[/C][C]0.193273[/C][C]0.203811[/C][/ROW]
[ROW][C]100[/C][C]100.44[/C][C]100.506[/C][C]100.398[/C][C]0.107283[/C][C]-0.0656163[/C][/ROW]
[ROW][C]101[/C][C]100.29[/C][C]100.507[/C][C]100.402[/C][C]0.104835[/C][C]-0.216918[/C][/ROW]
[ROW][C]102[/C][C]100.34[/C][C]100.412[/C][C]100.401[/C][C]0.0108247[/C][C]-0.0720747[/C][/ROW]
[ROW][C]103[/C][C]100.46[/C][C]NA[/C][C]NA[/C][C]0.0612934[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]100.12[/C][C]NA[/C][C]NA[/C][C]-0.100998[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]100.06[/C][C]NA[/C][C]NA[/C][C]-0.193759[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]100.28[/C][C]NA[/C][C]NA[/C][C]-0.173655[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]100.28[/C][C]NA[/C][C]NA[/C][C]-0.152821[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]100.4[/C][C]NA[/C][C]NA[/C][C]-0.131311[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284012&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284012&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	85.13	NA	NA	-0.000633681	NA
2	85.54	NA	NA	0.275668	NA
3	85.47	NA	NA	0.193273	NA
4	85.78	NA	NA	0.107283	NA
5	86.07	NA	NA	0.104835	NA
6	86.05	NA	NA	0.0108247	NA
7	86.32	86.2046	86.1433	0.0612934	0.115373
8	86.43	86.189	86.29	-0.100998	0.240998
9	86.41	86.2396	86.4333	-0.193759	0.170425
10	86.38	86.3972	86.5708	-0.173655	-0.0171788
11	86.59	86.5343	86.6871	-0.152821	0.0557378
12	86.68	86.6504	86.7817	-0.131311	0.0296441
13	86.87	86.8777	86.8783	-0.000633681	-0.00769965
14	87.32	87.2482	86.9725	0.275668	0.0718316
15	87.13	87.2566	87.0633	0.193273	-0.126606
16	87.42	87.2819	87.1746	0.107283	0.138134
17	87.22	87.4253	87.3204	0.104835	-0.205252
18	87.17	87.5075	87.4967	0.0108247	-0.337491
19	87.52	87.7542	87.6929	0.0612934	-0.23421
20	87.49	87.8053	87.9062	-0.100998	-0.315252
21	87.53	87.9658	88.1596	-0.193759	-0.435825
22	87.93	88.2613	88.435	-0.173655	-0.331345
23	88.54	88.5843	88.7371	-0.152821	-0.0442622
24	88.96	88.9579	89.0892	-0.131311	0.0021441
25	89.3	89.4631	89.4638	-0.000633681	-0.163116
26	90.01	90.1098	89.8342	0.275668	-0.0998351
27	90.52	90.3949	90.2017	0.193273	0.125061
28	90.64	90.6723	90.565	0.107283	-0.032283
29	91.25	90.989	90.8842	0.104835	0.260998
30	91.59	91.1696	91.1587	0.0108247	0.420425
31	92.09	91.4755	91.4142	0.0612934	0.61454
32	91.81	91.5423	91.6433	-0.100998	0.267665
33	92.03	91.615	91.8087	-0.193759	0.415009
34	92.15	91.7543	91.9279	-0.173655	0.395738
35	91.98	91.8597	92.0125	-0.152821	0.120321
36	92.11	91.9029	92.0342	-0.131311	0.207144
37	92.28	92.0039	92.0046	-0.000633681	0.27605
38	92.53	92.2473	91.9717	0.275668	0.282665
39	91.97	92.1337	91.9404	0.193273	-0.163689
40	92.05	92.0014	91.8942	0.107283	0.0485503
41	91.87	91.9648	91.86	0.104835	-0.0948351
42	91.49	91.8492	91.8383	0.0108247	-0.359158
43	91.48	91.8867	91.8254	0.0612934	-0.40671
44	91.63	91.7265	91.8275	-0.100998	-0.0965017
45	91.46	91.6746	91.8683	-0.193759	-0.214575
46	91.61	91.7709	91.9446	-0.173655	-0.160929
47	91.7	91.893	92.0458	-0.152821	-0.193012
48	91.87	92.0529	92.1842	-0.131311	-0.182856
49	92.21	92.3431	92.3438	-0.000633681	-0.133116
50	92.65	92.7798	92.5042	0.275668	-0.129835
51	92.83	92.8733	92.68	0.193273	-0.0432726
52	93.02	92.9819	92.8746	0.107283	0.0381337
53	93.33	93.1732	93.0683	0.104835	0.156832
54	93.35	93.2754	93.2646	0.0108247	0.074592
55	93.45	93.5296	93.4683	0.0612934	-0.0796267
56	93.51	93.5803	93.6812	-0.100998	-0.0702517
57	93.8	93.7092	93.9029	-0.193759	0.090842
58	93.94	93.9534	94.1271	-0.173655	-0.0134288
59	94.02	94.198	94.3508	-0.152821	-0.178012
60	94.26	94.4591	94.5904	-0.131311	-0.199106
61	94.71	94.846	94.8467	-0.000633681	-0.136033
62	95.26	95.374	95.0983	0.275668	-0.114002
63	95.54	95.5329	95.3396	0.193273	0.0071441
64	95.69	95.6864	95.5792	0.107283	0.00355035
65	96.03	95.9378	95.8329	0.104835	0.0922483
66	96.4	96.1037	96.0929	0.0108247	0.296259
67	96.55	96.4146	96.3533	0.0612934	0.135373
68	96.45	96.5211	96.6221	-0.100998	-0.0710851
69	96.65	96.6887	96.8825	-0.193759	-0.0387413
70	96.84	96.9518	97.1254	-0.173655	-0.111762
71	97.21	97.2001	97.3529	-0.152821	0.00990451
72	97.31	97.4199	97.5512	-0.131311	-0.109939
73	97.91	97.7294	97.73	-0.000633681	0.180634
74	98.51	98.1986	97.9229	0.275668	0.311415
75	98.54	98.3154	98.1221	0.193273	0.224644
76	98.52	98.426	98.3187	0.107283	0.093967
77	98.66	98.6119	98.5071	0.104835	0.0480816
78	98.53	98.6933	98.6825	0.0108247	-0.163325
79	98.71	98.8917	98.8304	0.0612934	-0.18171
80	98.92	98.8344	98.9354	-0.100998	0.0855816
81	98.96	98.8375	99.0312	-0.193759	0.122509
82	99.25	98.9609	99.1346	-0.173655	0.289071
83	99.32	99.0909	99.2437	-0.152821	0.229071
84	99.41	99.2391	99.3704	-0.131311	0.170894
85	99.36	99.5031	99.5037	-0.000633681	-0.143116
86	99.58	99.8923	99.6167	0.275668	-0.312335
87	99.77	99.9037	99.7104	0.193273	-0.133689
88	99.77	99.901	99.7938	0.107283	-0.131033
89	100.03	99.9778	99.8729	0.104835	0.0522483
90	100.2	99.9658	99.955	0.0108247	0.234175
91	100.24	100.11	100.048	0.0612934	0.130373
92	100.1	100.048	100.149	-0.100998	0.0522483
93	100.03	100.046	100.24	-0.193759	-0.0162413
94	100.18	100.137	100.31	-0.173655	0.0432378
95	100.29	100.196	100.349	-0.152821	0.0936545
96	100.41	100.235	100.366	-0.131311	0.175477
97	100.6	100.38	100.381	-0.000633681	0.2198
98	100.75	100.667	100.391	0.275668	0.0834983
99	100.79	100.586	100.393	0.193273	0.203811
100	100.44	100.506	100.398	0.107283	-0.0656163
101	100.29	100.507	100.402	0.104835	-0.216918
102	100.34	100.412	100.401	0.0108247	-0.0720747
103	100.46	NA	NA	0.0612934	NA
104	100.12	NA	NA	-0.100998	NA
105	100.06	NA	NA	-0.193759	NA
106	100.28	NA	NA	-0.173655	NA
107	100.28	NA	NA	-0.152821	NA
108	100.4	NA	NA	-0.131311	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 <- '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