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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Wed, 11 Dec 2013 17:52:30 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/11/t1386802369rvwaxs6eiprhqnz.htm/, Retrieved Fri, 19 Apr 2024 07:37:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232201, Retrieved Fri, 19 Apr 2024 07:37:57 +0000

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-     [Classical Decomposition] [] [2013-12-09 09:09:03] [5672961de3ceaa8bdaf4b329c53f6929]
- R  D    [Classical Decomposition] [] [2013-12-11 22:52:30] [b8fb8add5dd4685cce14e083083037bd] [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	5 seconds
R Server	'George Udny Yule' @ yule.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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232201&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232201&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	5 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	19.31	NA	NA	-0.0100868	NA
2	19.47	NA	NA	0.0477604	NA
3	19.7	NA	NA	0.050816	NA
4	19.76	NA	NA	0.0246354	NA
5	19.9	NA	NA	-0.00529514	NA
6	19.97	NA	NA	-0.048559	NA
7	20.1	20.0483	20.1	-0.051684	0.051684
8	20.26	20.1747	20.2183	-0.0436285	0.0852951
9	20.44	20.3079	20.3325	-0.0246007	0.132101
10	20.43	20.4589	20.4421	0.0168576	-0.028941
11	20.57	20.586	20.55	0.0359549	-0.0159549
12	20.6	20.6591	20.6512	0.00782986	-0.0590799
13	20.69	20.7416	20.7517	-0.0100868	-0.0515799
14	20.93	20.8944	20.8467	0.0477604	0.0355729
15	20.98	20.985	20.9342	0.050816	-0.00498264
16	21.11	21.0501	21.0254	0.0246354	0.0599479
17	21.14	21.1168	21.1221	-0.00529514	0.0232118
18	21.16	21.1702	21.2188	-0.048559	-0.010191
19	21.32	21.2616	21.3133	-0.051684	0.0583507
20	21.32	21.3564	21.4	-0.0436285	-0.0363715
21	21.48	21.4666	21.4912	-0.0246007	0.0133507
22	21.58	21.6119	21.595	0.0168576	-0.0318576
23	21.74	21.7389	21.7029	0.0359549	0.00112847
24	21.75	21.8224	21.8146	0.00782986	-0.0724132
25	21.81	21.912	21.9221	-0.0100868	-0.101997
26	21.89	22.0748	22.0271	0.0477604	-0.184844
27	22.21	22.1775	22.1267	0.050816	0.0325174
28	22.37	22.2501	22.2254	0.0246354	0.119948
29	22.47	22.3226	22.3279	-0.00529514	0.147378
30	22.51	22.3802	22.4288	-0.048559	0.129809
31	22.55	22.4783	22.53	-0.051684	0.071684
32	22.61	22.5872	22.6308	-0.0436285	0.0227951
33	22.58	22.6975	22.7221	-0.0246007	-0.117483
34	22.85	22.8131	22.7962	0.0168576	0.0368924
35	22.93	22.8968	22.8608	0.0359549	0.0332118
36	22.98	22.9291	22.9212	0.00782986	0.0509201
37	23.01	22.9645	22.9746	-0.0100868	0.0455035
38	23.11	23.0686	23.0208	0.0477604	0.0414063
39	23.18	23.1183	23.0675	0.050816	0.061684
40	23.18	23.1313	23.1067	0.0246354	0.0486979
41	23.21	23.128	23.1333	-0.00529514	0.0819618
42	23.22	23.1064	23.155	-0.048559	0.113559
43	23.12	23.1233	23.175	-0.051684	-0.00331597
44	23.15	23.153	23.1967	-0.0436285	-0.00303819
45	23.16	23.1933	23.2179	-0.0246007	-0.033316
46	23.21	23.2556	23.2387	0.0168576	-0.0456076
47	23.21	23.2964	23.2604	0.0359549	-0.0863715
48	23.22	23.2878	23.28	0.00782986	-0.0678299
49	23.25	23.2966	23.3067	-0.0100868	-0.0465799
50	23.39	23.3915	23.3438	0.0477604	-0.00151042
51	23.41	23.4433	23.3925	0.050816	-0.033316
52	23.45	23.4821	23.4575	0.0246354	-0.0321354
53	23.46	23.5264	23.5317	-0.00529514	-0.0663715
54	23.44	23.5589	23.6075	-0.048559	-0.118941
55	23.54	23.6316	23.6833	-0.051684	-0.0916493
56	23.62	23.713	23.7567	-0.0436285	-0.0930382
57	23.86	23.8033	23.8279	-0.0246007	0.056684
58	24.07	23.9089	23.8921	0.0168576	0.161059
59	24.13	23.9843	23.9483	0.0359549	0.145712
60	24.12	24.0149	24.0071	0.00782986	0.105087
61	24.17	24.0549	24.065	-0.0100868	0.115087
62	24.23	24.1711	24.1233	0.0477604	0.0589062
63	24.28	24.225	24.1742	0.050816	0.0550174
64	24.12	24.2317	24.2071	0.0246354	-0.111719
65	24.14	24.2285	24.2338	-0.00529514	-0.0884549
66	24.17	24.2189	24.2675	-0.048559	-0.048941
67	24.2	24.255	24.3067	-0.051684	-0.0549826
68	24.36	24.3039	24.3475	-0.0436285	0.0561285
69	24.34	24.3596	24.3842	-0.0246007	-0.019566
70	24.38	24.4398	24.4229	0.0168576	-0.0597743
71	24.46	24.506	24.47	0.0359549	-0.0459549
72	24.6	24.5249	24.5171	0.00782986	0.0750868
73	24.63	24.5587	24.5688	-0.0100868	0.0713368
74	24.75	24.6678	24.62	0.0477604	0.0822396
75	24.64	24.7191	24.6683	0.050816	-0.0791493
76	24.69	24.743	24.7183	0.0246354	-0.0529687
77	24.7	24.766	24.7712	-0.00529514	-0.0659549
78	24.74	24.7735	24.8221	-0.048559	-0.0335243
79	24.87	NA	NA	-0.051684	NA
80	24.92	NA	NA	-0.0436285	NA
81	24.94	NA	NA	-0.0246007	NA
82	24.98	NA	NA	0.0168576	NA
83	25.13	NA	NA	0.0359549	NA
84	25.15	NA	NA	0.00782986	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 19.31 & NA & NA & -0.0100868 & NA \tabularnewline
2 & 19.47 & NA & NA & 0.0477604 & NA \tabularnewline
3 & 19.7 & NA & NA & 0.050816 & NA \tabularnewline
4 & 19.76 & NA & NA & 0.0246354 & NA \tabularnewline
5 & 19.9 & NA & NA & -0.00529514 & NA \tabularnewline
6 & 19.97 & NA & NA & -0.048559 & NA \tabularnewline
7 & 20.1 & 20.0483 & 20.1 & -0.051684 & 0.051684 \tabularnewline
8 & 20.26 & 20.1747 & 20.2183 & -0.0436285 & 0.0852951 \tabularnewline
9 & 20.44 & 20.3079 & 20.3325 & -0.0246007 & 0.132101 \tabularnewline
10 & 20.43 & 20.4589 & 20.4421 & 0.0168576 & -0.028941 \tabularnewline
11 & 20.57 & 20.586 & 20.55 & 0.0359549 & -0.0159549 \tabularnewline
12 & 20.6 & 20.6591 & 20.6512 & 0.00782986 & -0.0590799 \tabularnewline
13 & 20.69 & 20.7416 & 20.7517 & -0.0100868 & -0.0515799 \tabularnewline
14 & 20.93 & 20.8944 & 20.8467 & 0.0477604 & 0.0355729 \tabularnewline
15 & 20.98 & 20.985 & 20.9342 & 0.050816 & -0.00498264 \tabularnewline
16 & 21.11 & 21.0501 & 21.0254 & 0.0246354 & 0.0599479 \tabularnewline
17 & 21.14 & 21.1168 & 21.1221 & -0.00529514 & 0.0232118 \tabularnewline
18 & 21.16 & 21.1702 & 21.2188 & -0.048559 & -0.010191 \tabularnewline
19 & 21.32 & 21.2616 & 21.3133 & -0.051684 & 0.0583507 \tabularnewline
20 & 21.32 & 21.3564 & 21.4 & -0.0436285 & -0.0363715 \tabularnewline
21 & 21.48 & 21.4666 & 21.4912 & -0.0246007 & 0.0133507 \tabularnewline
22 & 21.58 & 21.6119 & 21.595 & 0.0168576 & -0.0318576 \tabularnewline
23 & 21.74 & 21.7389 & 21.7029 & 0.0359549 & 0.00112847 \tabularnewline
24 & 21.75 & 21.8224 & 21.8146 & 0.00782986 & -0.0724132 \tabularnewline
25 & 21.81 & 21.912 & 21.9221 & -0.0100868 & -0.101997 \tabularnewline
26 & 21.89 & 22.0748 & 22.0271 & 0.0477604 & -0.184844 \tabularnewline
27 & 22.21 & 22.1775 & 22.1267 & 0.050816 & 0.0325174 \tabularnewline
28 & 22.37 & 22.2501 & 22.2254 & 0.0246354 & 0.119948 \tabularnewline
29 & 22.47 & 22.3226 & 22.3279 & -0.00529514 & 0.147378 \tabularnewline
30 & 22.51 & 22.3802 & 22.4288 & -0.048559 & 0.129809 \tabularnewline
31 & 22.55 & 22.4783 & 22.53 & -0.051684 & 0.071684 \tabularnewline
32 & 22.61 & 22.5872 & 22.6308 & -0.0436285 & 0.0227951 \tabularnewline
33 & 22.58 & 22.6975 & 22.7221 & -0.0246007 & -0.117483 \tabularnewline
34 & 22.85 & 22.8131 & 22.7962 & 0.0168576 & 0.0368924 \tabularnewline
35 & 22.93 & 22.8968 & 22.8608 & 0.0359549 & 0.0332118 \tabularnewline
36 & 22.98 & 22.9291 & 22.9212 & 0.00782986 & 0.0509201 \tabularnewline
37 & 23.01 & 22.9645 & 22.9746 & -0.0100868 & 0.0455035 \tabularnewline
38 & 23.11 & 23.0686 & 23.0208 & 0.0477604 & 0.0414063 \tabularnewline
39 & 23.18 & 23.1183 & 23.0675 & 0.050816 & 0.061684 \tabularnewline
40 & 23.18 & 23.1313 & 23.1067 & 0.0246354 & 0.0486979 \tabularnewline
41 & 23.21 & 23.128 & 23.1333 & -0.00529514 & 0.0819618 \tabularnewline
42 & 23.22 & 23.1064 & 23.155 & -0.048559 & 0.113559 \tabularnewline
43 & 23.12 & 23.1233 & 23.175 & -0.051684 & -0.00331597 \tabularnewline
44 & 23.15 & 23.153 & 23.1967 & -0.0436285 & -0.00303819 \tabularnewline
45 & 23.16 & 23.1933 & 23.2179 & -0.0246007 & -0.033316 \tabularnewline
46 & 23.21 & 23.2556 & 23.2387 & 0.0168576 & -0.0456076 \tabularnewline
47 & 23.21 & 23.2964 & 23.2604 & 0.0359549 & -0.0863715 \tabularnewline
48 & 23.22 & 23.2878 & 23.28 & 0.00782986 & -0.0678299 \tabularnewline
49 & 23.25 & 23.2966 & 23.3067 & -0.0100868 & -0.0465799 \tabularnewline
50 & 23.39 & 23.3915 & 23.3438 & 0.0477604 & -0.00151042 \tabularnewline
51 & 23.41 & 23.4433 & 23.3925 & 0.050816 & -0.033316 \tabularnewline
52 & 23.45 & 23.4821 & 23.4575 & 0.0246354 & -0.0321354 \tabularnewline
53 & 23.46 & 23.5264 & 23.5317 & -0.00529514 & -0.0663715 \tabularnewline
54 & 23.44 & 23.5589 & 23.6075 & -0.048559 & -0.118941 \tabularnewline
55 & 23.54 & 23.6316 & 23.6833 & -0.051684 & -0.0916493 \tabularnewline
56 & 23.62 & 23.713 & 23.7567 & -0.0436285 & -0.0930382 \tabularnewline
57 & 23.86 & 23.8033 & 23.8279 & -0.0246007 & 0.056684 \tabularnewline
58 & 24.07 & 23.9089 & 23.8921 & 0.0168576 & 0.161059 \tabularnewline
59 & 24.13 & 23.9843 & 23.9483 & 0.0359549 & 0.145712 \tabularnewline
60 & 24.12 & 24.0149 & 24.0071 & 0.00782986 & 0.105087 \tabularnewline
61 & 24.17 & 24.0549 & 24.065 & -0.0100868 & 0.115087 \tabularnewline
62 & 24.23 & 24.1711 & 24.1233 & 0.0477604 & 0.0589062 \tabularnewline
63 & 24.28 & 24.225 & 24.1742 & 0.050816 & 0.0550174 \tabularnewline
64 & 24.12 & 24.2317 & 24.2071 & 0.0246354 & -0.111719 \tabularnewline
65 & 24.14 & 24.2285 & 24.2338 & -0.00529514 & -0.0884549 \tabularnewline
66 & 24.17 & 24.2189 & 24.2675 & -0.048559 & -0.048941 \tabularnewline
67 & 24.2 & 24.255 & 24.3067 & -0.051684 & -0.0549826 \tabularnewline
68 & 24.36 & 24.3039 & 24.3475 & -0.0436285 & 0.0561285 \tabularnewline
69 & 24.34 & 24.3596 & 24.3842 & -0.0246007 & -0.019566 \tabularnewline
70 & 24.38 & 24.4398 & 24.4229 & 0.0168576 & -0.0597743 \tabularnewline
71 & 24.46 & 24.506 & 24.47 & 0.0359549 & -0.0459549 \tabularnewline
72 & 24.6 & 24.5249 & 24.5171 & 0.00782986 & 0.0750868 \tabularnewline
73 & 24.63 & 24.5587 & 24.5688 & -0.0100868 & 0.0713368 \tabularnewline
74 & 24.75 & 24.6678 & 24.62 & 0.0477604 & 0.0822396 \tabularnewline
75 & 24.64 & 24.7191 & 24.6683 & 0.050816 & -0.0791493 \tabularnewline
76 & 24.69 & 24.743 & 24.7183 & 0.0246354 & -0.0529687 \tabularnewline
77 & 24.7 & 24.766 & 24.7712 & -0.00529514 & -0.0659549 \tabularnewline
78 & 24.74 & 24.7735 & 24.8221 & -0.048559 & -0.0335243 \tabularnewline
79 & 24.87 & NA & NA & -0.051684 & NA \tabularnewline
80 & 24.92 & NA & NA & -0.0436285 & NA \tabularnewline
81 & 24.94 & NA & NA & -0.0246007 & NA \tabularnewline
82 & 24.98 & NA & NA & 0.0168576 & NA \tabularnewline
83 & 25.13 & NA & NA & 0.0359549 & NA \tabularnewline
84 & 25.15 & NA & NA & 0.00782986 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232201&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]19.31[/C][C]NA[/C][C]NA[/C][C]-0.0100868[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]19.47[/C][C]NA[/C][C]NA[/C][C]0.0477604[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]19.7[/C][C]NA[/C][C]NA[/C][C]0.050816[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]19.76[/C][C]NA[/C][C]NA[/C][C]0.0246354[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]19.9[/C][C]NA[/C][C]NA[/C][C]-0.00529514[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]19.97[/C][C]NA[/C][C]NA[/C][C]-0.048559[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]20.1[/C][C]20.0483[/C][C]20.1[/C][C]-0.051684[/C][C]0.051684[/C][/ROW]
[ROW][C]8[/C][C]20.26[/C][C]20.1747[/C][C]20.2183[/C][C]-0.0436285[/C][C]0.0852951[/C][/ROW]
[ROW][C]9[/C][C]20.44[/C][C]20.3079[/C][C]20.3325[/C][C]-0.0246007[/C][C]0.132101[/C][/ROW]
[ROW][C]10[/C][C]20.43[/C][C]20.4589[/C][C]20.4421[/C][C]0.0168576[/C][C]-0.028941[/C][/ROW]
[ROW][C]11[/C][C]20.57[/C][C]20.586[/C][C]20.55[/C][C]0.0359549[/C][C]-0.0159549[/C][/ROW]
[ROW][C]12[/C][C]20.6[/C][C]20.6591[/C][C]20.6512[/C][C]0.00782986[/C][C]-0.0590799[/C][/ROW]
[ROW][C]13[/C][C]20.69[/C][C]20.7416[/C][C]20.7517[/C][C]-0.0100868[/C][C]-0.0515799[/C][/ROW]
[ROW][C]14[/C][C]20.93[/C][C]20.8944[/C][C]20.8467[/C][C]0.0477604[/C][C]0.0355729[/C][/ROW]
[ROW][C]15[/C][C]20.98[/C][C]20.985[/C][C]20.9342[/C][C]0.050816[/C][C]-0.00498264[/C][/ROW]
[ROW][C]16[/C][C]21.11[/C][C]21.0501[/C][C]21.0254[/C][C]0.0246354[/C][C]0.0599479[/C][/ROW]
[ROW][C]17[/C][C]21.14[/C][C]21.1168[/C][C]21.1221[/C][C]-0.00529514[/C][C]0.0232118[/C][/ROW]
[ROW][C]18[/C][C]21.16[/C][C]21.1702[/C][C]21.2188[/C][C]-0.048559[/C][C]-0.010191[/C][/ROW]
[ROW][C]19[/C][C]21.32[/C][C]21.2616[/C][C]21.3133[/C][C]-0.051684[/C][C]0.0583507[/C][/ROW]
[ROW][C]20[/C][C]21.32[/C][C]21.3564[/C][C]21.4[/C][C]-0.0436285[/C][C]-0.0363715[/C][/ROW]
[ROW][C]21[/C][C]21.48[/C][C]21.4666[/C][C]21.4912[/C][C]-0.0246007[/C][C]0.0133507[/C][/ROW]
[ROW][C]22[/C][C]21.58[/C][C]21.6119[/C][C]21.595[/C][C]0.0168576[/C][C]-0.0318576[/C][/ROW]
[ROW][C]23[/C][C]21.74[/C][C]21.7389[/C][C]21.7029[/C][C]0.0359549[/C][C]0.00112847[/C][/ROW]
[ROW][C]24[/C][C]21.75[/C][C]21.8224[/C][C]21.8146[/C][C]0.00782986[/C][C]-0.0724132[/C][/ROW]
[ROW][C]25[/C][C]21.81[/C][C]21.912[/C][C]21.9221[/C][C]-0.0100868[/C][C]-0.101997[/C][/ROW]
[ROW][C]26[/C][C]21.89[/C][C]22.0748[/C][C]22.0271[/C][C]0.0477604[/C][C]-0.184844[/C][/ROW]
[ROW][C]27[/C][C]22.21[/C][C]22.1775[/C][C]22.1267[/C][C]0.050816[/C][C]0.0325174[/C][/ROW]
[ROW][C]28[/C][C]22.37[/C][C]22.2501[/C][C]22.2254[/C][C]0.0246354[/C][C]0.119948[/C][/ROW]
[ROW][C]29[/C][C]22.47[/C][C]22.3226[/C][C]22.3279[/C][C]-0.00529514[/C][C]0.147378[/C][/ROW]
[ROW][C]30[/C][C]22.51[/C][C]22.3802[/C][C]22.4288[/C][C]-0.048559[/C][C]0.129809[/C][/ROW]
[ROW][C]31[/C][C]22.55[/C][C]22.4783[/C][C]22.53[/C][C]-0.051684[/C][C]0.071684[/C][/ROW]
[ROW][C]32[/C][C]22.61[/C][C]22.5872[/C][C]22.6308[/C][C]-0.0436285[/C][C]0.0227951[/C][/ROW]
[ROW][C]33[/C][C]22.58[/C][C]22.6975[/C][C]22.7221[/C][C]-0.0246007[/C][C]-0.117483[/C][/ROW]
[ROW][C]34[/C][C]22.85[/C][C]22.8131[/C][C]22.7962[/C][C]0.0168576[/C][C]0.0368924[/C][/ROW]
[ROW][C]35[/C][C]22.93[/C][C]22.8968[/C][C]22.8608[/C][C]0.0359549[/C][C]0.0332118[/C][/ROW]
[ROW][C]36[/C][C]22.98[/C][C]22.9291[/C][C]22.9212[/C][C]0.00782986[/C][C]0.0509201[/C][/ROW]
[ROW][C]37[/C][C]23.01[/C][C]22.9645[/C][C]22.9746[/C][C]-0.0100868[/C][C]0.0455035[/C][/ROW]
[ROW][C]38[/C][C]23.11[/C][C]23.0686[/C][C]23.0208[/C][C]0.0477604[/C][C]0.0414063[/C][/ROW]
[ROW][C]39[/C][C]23.18[/C][C]23.1183[/C][C]23.0675[/C][C]0.050816[/C][C]0.061684[/C][/ROW]
[ROW][C]40[/C][C]23.18[/C][C]23.1313[/C][C]23.1067[/C][C]0.0246354[/C][C]0.0486979[/C][/ROW]
[ROW][C]41[/C][C]23.21[/C][C]23.128[/C][C]23.1333[/C][C]-0.00529514[/C][C]0.0819618[/C][/ROW]
[ROW][C]42[/C][C]23.22[/C][C]23.1064[/C][C]23.155[/C][C]-0.048559[/C][C]0.113559[/C][/ROW]
[ROW][C]43[/C][C]23.12[/C][C]23.1233[/C][C]23.175[/C][C]-0.051684[/C][C]-0.00331597[/C][/ROW]
[ROW][C]44[/C][C]23.15[/C][C]23.153[/C][C]23.1967[/C][C]-0.0436285[/C][C]-0.00303819[/C][/ROW]
[ROW][C]45[/C][C]23.16[/C][C]23.1933[/C][C]23.2179[/C][C]-0.0246007[/C][C]-0.033316[/C][/ROW]
[ROW][C]46[/C][C]23.21[/C][C]23.2556[/C][C]23.2387[/C][C]0.0168576[/C][C]-0.0456076[/C][/ROW]
[ROW][C]47[/C][C]23.21[/C][C]23.2964[/C][C]23.2604[/C][C]0.0359549[/C][C]-0.0863715[/C][/ROW]
[ROW][C]48[/C][C]23.22[/C][C]23.2878[/C][C]23.28[/C][C]0.00782986[/C][C]-0.0678299[/C][/ROW]
[ROW][C]49[/C][C]23.25[/C][C]23.2966[/C][C]23.3067[/C][C]-0.0100868[/C][C]-0.0465799[/C][/ROW]
[ROW][C]50[/C][C]23.39[/C][C]23.3915[/C][C]23.3438[/C][C]0.0477604[/C][C]-0.00151042[/C][/ROW]
[ROW][C]51[/C][C]23.41[/C][C]23.4433[/C][C]23.3925[/C][C]0.050816[/C][C]-0.033316[/C][/ROW]
[ROW][C]52[/C][C]23.45[/C][C]23.4821[/C][C]23.4575[/C][C]0.0246354[/C][C]-0.0321354[/C][/ROW]
[ROW][C]53[/C][C]23.46[/C][C]23.5264[/C][C]23.5317[/C][C]-0.00529514[/C][C]-0.0663715[/C][/ROW]
[ROW][C]54[/C][C]23.44[/C][C]23.5589[/C][C]23.6075[/C][C]-0.048559[/C][C]-0.118941[/C][/ROW]
[ROW][C]55[/C][C]23.54[/C][C]23.6316[/C][C]23.6833[/C][C]-0.051684[/C][C]-0.0916493[/C][/ROW]
[ROW][C]56[/C][C]23.62[/C][C]23.713[/C][C]23.7567[/C][C]-0.0436285[/C][C]-0.0930382[/C][/ROW]
[ROW][C]57[/C][C]23.86[/C][C]23.8033[/C][C]23.8279[/C][C]-0.0246007[/C][C]0.056684[/C][/ROW]
[ROW][C]58[/C][C]24.07[/C][C]23.9089[/C][C]23.8921[/C][C]0.0168576[/C][C]0.161059[/C][/ROW]
[ROW][C]59[/C][C]24.13[/C][C]23.9843[/C][C]23.9483[/C][C]0.0359549[/C][C]0.145712[/C][/ROW]
[ROW][C]60[/C][C]24.12[/C][C]24.0149[/C][C]24.0071[/C][C]0.00782986[/C][C]0.105087[/C][/ROW]
[ROW][C]61[/C][C]24.17[/C][C]24.0549[/C][C]24.065[/C][C]-0.0100868[/C][C]0.115087[/C][/ROW]
[ROW][C]62[/C][C]24.23[/C][C]24.1711[/C][C]24.1233[/C][C]0.0477604[/C][C]0.0589062[/C][/ROW]
[ROW][C]63[/C][C]24.28[/C][C]24.225[/C][C]24.1742[/C][C]0.050816[/C][C]0.0550174[/C][/ROW]
[ROW][C]64[/C][C]24.12[/C][C]24.2317[/C][C]24.2071[/C][C]0.0246354[/C][C]-0.111719[/C][/ROW]
[ROW][C]65[/C][C]24.14[/C][C]24.2285[/C][C]24.2338[/C][C]-0.00529514[/C][C]-0.0884549[/C][/ROW]
[ROW][C]66[/C][C]24.17[/C][C]24.2189[/C][C]24.2675[/C][C]-0.048559[/C][C]-0.048941[/C][/ROW]
[ROW][C]67[/C][C]24.2[/C][C]24.255[/C][C]24.3067[/C][C]-0.051684[/C][C]-0.0549826[/C][/ROW]
[ROW][C]68[/C][C]24.36[/C][C]24.3039[/C][C]24.3475[/C][C]-0.0436285[/C][C]0.0561285[/C][/ROW]
[ROW][C]69[/C][C]24.34[/C][C]24.3596[/C][C]24.3842[/C][C]-0.0246007[/C][C]-0.019566[/C][/ROW]
[ROW][C]70[/C][C]24.38[/C][C]24.4398[/C][C]24.4229[/C][C]0.0168576[/C][C]-0.0597743[/C][/ROW]
[ROW][C]71[/C][C]24.46[/C][C]24.506[/C][C]24.47[/C][C]0.0359549[/C][C]-0.0459549[/C][/ROW]
[ROW][C]72[/C][C]24.6[/C][C]24.5249[/C][C]24.5171[/C][C]0.00782986[/C][C]0.0750868[/C][/ROW]
[ROW][C]73[/C][C]24.63[/C][C]24.5587[/C][C]24.5688[/C][C]-0.0100868[/C][C]0.0713368[/C][/ROW]
[ROW][C]74[/C][C]24.75[/C][C]24.6678[/C][C]24.62[/C][C]0.0477604[/C][C]0.0822396[/C][/ROW]
[ROW][C]75[/C][C]24.64[/C][C]24.7191[/C][C]24.6683[/C][C]0.050816[/C][C]-0.0791493[/C][/ROW]
[ROW][C]76[/C][C]24.69[/C][C]24.743[/C][C]24.7183[/C][C]0.0246354[/C][C]-0.0529687[/C][/ROW]
[ROW][C]77[/C][C]24.7[/C][C]24.766[/C][C]24.7712[/C][C]-0.00529514[/C][C]-0.0659549[/C][/ROW]
[ROW][C]78[/C][C]24.74[/C][C]24.7735[/C][C]24.8221[/C][C]-0.048559[/C][C]-0.0335243[/C][/ROW]
[ROW][C]79[/C][C]24.87[/C][C]NA[/C][C]NA[/C][C]-0.051684[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]24.92[/C][C]NA[/C][C]NA[/C][C]-0.0436285[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]24.94[/C][C]NA[/C][C]NA[/C][C]-0.0246007[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]24.98[/C][C]NA[/C][C]NA[/C][C]0.0168576[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]25.13[/C][C]NA[/C][C]NA[/C][C]0.0359549[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]25.15[/C][C]NA[/C][C]NA[/C][C]0.00782986[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232201&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	19.31	NA	NA	-0.0100868	NA
2	19.47	NA	NA	0.0477604	NA
3	19.7	NA	NA	0.050816	NA
4	19.76	NA	NA	0.0246354	NA
5	19.9	NA	NA	-0.00529514	NA
6	19.97	NA	NA	-0.048559	NA
7	20.1	20.0483	20.1	-0.051684	0.051684
8	20.26	20.1747	20.2183	-0.0436285	0.0852951
9	20.44	20.3079	20.3325	-0.0246007	0.132101
10	20.43	20.4589	20.4421	0.0168576	-0.028941
11	20.57	20.586	20.55	0.0359549	-0.0159549
12	20.6	20.6591	20.6512	0.00782986	-0.0590799
13	20.69	20.7416	20.7517	-0.0100868	-0.0515799
14	20.93	20.8944	20.8467	0.0477604	0.0355729
15	20.98	20.985	20.9342	0.050816	-0.00498264
16	21.11	21.0501	21.0254	0.0246354	0.0599479
17	21.14	21.1168	21.1221	-0.00529514	0.0232118
18	21.16	21.1702	21.2188	-0.048559	-0.010191
19	21.32	21.2616	21.3133	-0.051684	0.0583507
20	21.32	21.3564	21.4	-0.0436285	-0.0363715
21	21.48	21.4666	21.4912	-0.0246007	0.0133507
22	21.58	21.6119	21.595	0.0168576	-0.0318576
23	21.74	21.7389	21.7029	0.0359549	0.00112847
24	21.75	21.8224	21.8146	0.00782986	-0.0724132
25	21.81	21.912	21.9221	-0.0100868	-0.101997
26	21.89	22.0748	22.0271	0.0477604	-0.184844
27	22.21	22.1775	22.1267	0.050816	0.0325174
28	22.37	22.2501	22.2254	0.0246354	0.119948
29	22.47	22.3226	22.3279	-0.00529514	0.147378
30	22.51	22.3802	22.4288	-0.048559	0.129809
31	22.55	22.4783	22.53	-0.051684	0.071684
32	22.61	22.5872	22.6308	-0.0436285	0.0227951
33	22.58	22.6975	22.7221	-0.0246007	-0.117483
34	22.85	22.8131	22.7962	0.0168576	0.0368924
35	22.93	22.8968	22.8608	0.0359549	0.0332118
36	22.98	22.9291	22.9212	0.00782986	0.0509201
37	23.01	22.9645	22.9746	-0.0100868	0.0455035
38	23.11	23.0686	23.0208	0.0477604	0.0414063
39	23.18	23.1183	23.0675	0.050816	0.061684
40	23.18	23.1313	23.1067	0.0246354	0.0486979
41	23.21	23.128	23.1333	-0.00529514	0.0819618
42	23.22	23.1064	23.155	-0.048559	0.113559
43	23.12	23.1233	23.175	-0.051684	-0.00331597
44	23.15	23.153	23.1967	-0.0436285	-0.00303819
45	23.16	23.1933	23.2179	-0.0246007	-0.033316
46	23.21	23.2556	23.2387	0.0168576	-0.0456076
47	23.21	23.2964	23.2604	0.0359549	-0.0863715
48	23.22	23.2878	23.28	0.00782986	-0.0678299
49	23.25	23.2966	23.3067	-0.0100868	-0.0465799
50	23.39	23.3915	23.3438	0.0477604	-0.00151042
51	23.41	23.4433	23.3925	0.050816	-0.033316
52	23.45	23.4821	23.4575	0.0246354	-0.0321354
53	23.46	23.5264	23.5317	-0.00529514	-0.0663715
54	23.44	23.5589	23.6075	-0.048559	-0.118941
55	23.54	23.6316	23.6833	-0.051684	-0.0916493
56	23.62	23.713	23.7567	-0.0436285	-0.0930382
57	23.86	23.8033	23.8279	-0.0246007	0.056684
58	24.07	23.9089	23.8921	0.0168576	0.161059
59	24.13	23.9843	23.9483	0.0359549	0.145712
60	24.12	24.0149	24.0071	0.00782986	0.105087
61	24.17	24.0549	24.065	-0.0100868	0.115087
62	24.23	24.1711	24.1233	0.0477604	0.0589062
63	24.28	24.225	24.1742	0.050816	0.0550174
64	24.12	24.2317	24.2071	0.0246354	-0.111719
65	24.14	24.2285	24.2338	-0.00529514	-0.0884549
66	24.17	24.2189	24.2675	-0.048559	-0.048941
67	24.2	24.255	24.3067	-0.051684	-0.0549826
68	24.36	24.3039	24.3475	-0.0436285	0.0561285
69	24.34	24.3596	24.3842	-0.0246007	-0.019566
70	24.38	24.4398	24.4229	0.0168576	-0.0597743
71	24.46	24.506	24.47	0.0359549	-0.0459549
72	24.6	24.5249	24.5171	0.00782986	0.0750868
73	24.63	24.5587	24.5688	-0.0100868	0.0713368
74	24.75	24.6678	24.62	0.0477604	0.0822396
75	24.64	24.7191	24.6683	0.050816	-0.0791493
76	24.69	24.743	24.7183	0.0246354	-0.0529687
77	24.7	24.766	24.7712	-0.00529514	-0.0659549
78	24.74	24.7735	24.8221	-0.048559	-0.0335243
79	24.87	NA	NA	-0.051684	NA
80	24.92	NA	NA	-0.0436285	NA
81	24.94	NA	NA	-0.0246007	NA
82	24.98	NA	NA	0.0168576	NA
83	25.13	NA	NA	0.0359549	NA
84	25.15	NA	NA	0.00782986	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