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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Mon, 28 Nov 2016 09:34:24 +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/28/t1480325680rrteb08kv9l4jh8.htm/, Retrieved Sat, 02 May 2026 16:47:20 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 02 May 2026 16:47:20 +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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.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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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	'Sir Maurice George Kendall' @ kendall.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	99.57	NA	NA	0.262479	NA
2	98.97	NA	NA	0.302146	NA
3	99	NA	NA	0.237146	NA
4	98.88	NA	NA	0.138146	NA
5	98.9	NA	NA	0.0443125	NA
6	98.92	NA	NA	-0.0483542	NA
7	98.8	98.8089	98.9292	-0.120271	-0.00889583
8	98.83	98.7787	98.9171	-0.138354	0.0512708
9	98.88	98.7982	98.9321	-0.133854	0.0817708
10	98.88	98.7867	98.9392	-0.152438	0.0932708
11	98.89	98.7582	98.9442	-0.185937	0.131771
12	98.89	98.7454	98.9504	-0.205021	0.144604
13	99.05	99.2275	98.965	0.262479	-0.177479
14	99.2	99.2901	98.9879	0.302146	-0.0900625
15	99.13	99.2455	99.0083	0.237146	-0.115479
16	98.92	99.1631	99.025	0.138146	-0.243146
17	98.98	99.0835	99.0392	0.0443125	-0.103479
18	98.99	99.0066	99.055	-0.0483542	-0.0166458
19	99.08	98.9731	99.0933	-0.120271	0.106938
20	99.1	99.0091	99.1475	-0.138354	0.0908542
21	99.1	99.0728	99.2067	-0.133854	0.0271875
22	99.06	99.1205	99.2729	-0.152438	-0.0604792
23	99.05	99.1428	99.3287	-0.185937	-0.0928125
24	99.11	99.1537	99.3587	-0.205021	-0.0437292
25	99.75	99.6262	99.3637	0.262479	0.123771
26	99.8	99.6605	99.3583	0.302146	0.139521
27	99.95	99.5884	99.3512	0.237146	0.361604
28	99.69	99.4906	99.3525	0.138146	0.199354
29	99.55	99.3993	99.355	0.0443125	0.150688
30	99.14	99.3004	99.3488	-0.0483542	-0.160396
31	99.05	99.2301	99.3504	-0.120271	-0.180146
32	99	99.2341	99.3725	-0.138354	-0.234146
33	99.03	99.2649	99.3988	-0.133854	-0.234896
34	99.16	99.2751	99.4275	-0.152438	-0.115062
35	99.01	99.2724	99.4583	-0.185937	-0.262396
36	99	99.2966	99.5017	-0.205021	-0.296646
37	99.9	99.8296	99.5671	0.262479	0.0704375
38	100.18	99.9409	99.6388	0.302146	0.239104
39	100.2	99.9517	99.7146	0.237146	0.248271
40	100.13	99.9286	99.7904	0.138146	0.201437
41	99.85	99.9147	99.8704	0.0443125	-0.0647292
42	99.88	99.9091	99.9575	-0.0483542	-0.0291458
43	99.88	99.8739	99.9942	-0.120271	0.00610417
44	99.89	99.8283	99.9667	-0.138354	0.0616875
45	99.96	99.7891	99.9229	-0.133854	0.170937
46	100.05	99.7301	99.8825	-0.152438	0.319937
47	100.04	99.6766	99.8625	-0.185937	0.363438
48	100.06	99.6491	99.8542	-0.205021	0.410854
49	99.72	100.1	99.8379	0.262479	-0.380396
50	99.7	100.117	99.815	0.302146	-0.417146
51	99.63	100.025	99.7879	0.237146	-0.395062
52	99.73	99.8844	99.7463	0.138146	-0.154396
53	99.77	99.7426	99.6983	0.0443125	0.0273542
54	99.76	99.6033	99.6517	-0.0483542	0.156688
55	99.61	99.541	99.6612	-0.120271	0.0690208
56	99.61	99.5866	99.725	-0.138354	0.0233542
57	99.59	99.642	99.7758	-0.133854	-0.0519792
58	99.42	99.6646	99.8171	-0.152438	-0.244646
59	99.52	99.667	99.8529	-0.185937	-0.146979
60	99.46	99.6821	99.8871	-0.205021	-0.222062
61	100.55	100.193	99.9308	0.262479	0.356688
62	100.4	100.278	99.9762	0.302146	0.121604
63	100.15	100.256	100.019	0.237146	-0.106312
64	100.2	100.21	100.072	0.138146	-0.0102292
65	100.16	100.177	100.132	0.0443125	-0.0168125
66	100.19	100.147	100.196	-0.0483542	0.0425208
67	100.23	NA	NA	-0.120271	NA
68	100.08	NA	NA	-0.138354	NA
69	100.15	NA	NA	-0.133854	NA
70	100.13	NA	NA	-0.152438	NA
71	100.26	NA	NA	-0.185937	NA
72	100.24	NA	NA	-0.205021	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 99.57 & NA & NA & 0.262479 & NA \tabularnewline
2 & 98.97 & NA & NA & 0.302146 & NA \tabularnewline
3 & 99 & NA & NA & 0.237146 & NA \tabularnewline
4 & 98.88 & NA & NA & 0.138146 & NA \tabularnewline
5 & 98.9 & NA & NA & 0.0443125 & NA \tabularnewline
6 & 98.92 & NA & NA & -0.0483542 & NA \tabularnewline
7 & 98.8 & 98.8089 & 98.9292 & -0.120271 & -0.00889583 \tabularnewline
8 & 98.83 & 98.7787 & 98.9171 & -0.138354 & 0.0512708 \tabularnewline
9 & 98.88 & 98.7982 & 98.9321 & -0.133854 & 0.0817708 \tabularnewline
10 & 98.88 & 98.7867 & 98.9392 & -0.152438 & 0.0932708 \tabularnewline
11 & 98.89 & 98.7582 & 98.9442 & -0.185937 & 0.131771 \tabularnewline
12 & 98.89 & 98.7454 & 98.9504 & -0.205021 & 0.144604 \tabularnewline
13 & 99.05 & 99.2275 & 98.965 & 0.262479 & -0.177479 \tabularnewline
14 & 99.2 & 99.2901 & 98.9879 & 0.302146 & -0.0900625 \tabularnewline
15 & 99.13 & 99.2455 & 99.0083 & 0.237146 & -0.115479 \tabularnewline
16 & 98.92 & 99.1631 & 99.025 & 0.138146 & -0.243146 \tabularnewline
17 & 98.98 & 99.0835 & 99.0392 & 0.0443125 & -0.103479 \tabularnewline
18 & 98.99 & 99.0066 & 99.055 & -0.0483542 & -0.0166458 \tabularnewline
19 & 99.08 & 98.9731 & 99.0933 & -0.120271 & 0.106938 \tabularnewline
20 & 99.1 & 99.0091 & 99.1475 & -0.138354 & 0.0908542 \tabularnewline
21 & 99.1 & 99.0728 & 99.2067 & -0.133854 & 0.0271875 \tabularnewline
22 & 99.06 & 99.1205 & 99.2729 & -0.152438 & -0.0604792 \tabularnewline
23 & 99.05 & 99.1428 & 99.3287 & -0.185937 & -0.0928125 \tabularnewline
24 & 99.11 & 99.1537 & 99.3587 & -0.205021 & -0.0437292 \tabularnewline
25 & 99.75 & 99.6262 & 99.3637 & 0.262479 & 0.123771 \tabularnewline
26 & 99.8 & 99.6605 & 99.3583 & 0.302146 & 0.139521 \tabularnewline
27 & 99.95 & 99.5884 & 99.3512 & 0.237146 & 0.361604 \tabularnewline
28 & 99.69 & 99.4906 & 99.3525 & 0.138146 & 0.199354 \tabularnewline
29 & 99.55 & 99.3993 & 99.355 & 0.0443125 & 0.150688 \tabularnewline
30 & 99.14 & 99.3004 & 99.3488 & -0.0483542 & -0.160396 \tabularnewline
31 & 99.05 & 99.2301 & 99.3504 & -0.120271 & -0.180146 \tabularnewline
32 & 99 & 99.2341 & 99.3725 & -0.138354 & -0.234146 \tabularnewline
33 & 99.03 & 99.2649 & 99.3988 & -0.133854 & -0.234896 \tabularnewline
34 & 99.16 & 99.2751 & 99.4275 & -0.152438 & -0.115062 \tabularnewline
35 & 99.01 & 99.2724 & 99.4583 & -0.185937 & -0.262396 \tabularnewline
36 & 99 & 99.2966 & 99.5017 & -0.205021 & -0.296646 \tabularnewline
37 & 99.9 & 99.8296 & 99.5671 & 0.262479 & 0.0704375 \tabularnewline
38 & 100.18 & 99.9409 & 99.6388 & 0.302146 & 0.239104 \tabularnewline
39 & 100.2 & 99.9517 & 99.7146 & 0.237146 & 0.248271 \tabularnewline
40 & 100.13 & 99.9286 & 99.7904 & 0.138146 & 0.201437 \tabularnewline
41 & 99.85 & 99.9147 & 99.8704 & 0.0443125 & -0.0647292 \tabularnewline
42 & 99.88 & 99.9091 & 99.9575 & -0.0483542 & -0.0291458 \tabularnewline
43 & 99.88 & 99.8739 & 99.9942 & -0.120271 & 0.00610417 \tabularnewline
44 & 99.89 & 99.8283 & 99.9667 & -0.138354 & 0.0616875 \tabularnewline
45 & 99.96 & 99.7891 & 99.9229 & -0.133854 & 0.170937 \tabularnewline
46 & 100.05 & 99.7301 & 99.8825 & -0.152438 & 0.319937 \tabularnewline
47 & 100.04 & 99.6766 & 99.8625 & -0.185937 & 0.363438 \tabularnewline
48 & 100.06 & 99.6491 & 99.8542 & -0.205021 & 0.410854 \tabularnewline
49 & 99.72 & 100.1 & 99.8379 & 0.262479 & -0.380396 \tabularnewline
50 & 99.7 & 100.117 & 99.815 & 0.302146 & -0.417146 \tabularnewline
51 & 99.63 & 100.025 & 99.7879 & 0.237146 & -0.395062 \tabularnewline
52 & 99.73 & 99.8844 & 99.7463 & 0.138146 & -0.154396 \tabularnewline
53 & 99.77 & 99.7426 & 99.6983 & 0.0443125 & 0.0273542 \tabularnewline
54 & 99.76 & 99.6033 & 99.6517 & -0.0483542 & 0.156688 \tabularnewline
55 & 99.61 & 99.541 & 99.6612 & -0.120271 & 0.0690208 \tabularnewline
56 & 99.61 & 99.5866 & 99.725 & -0.138354 & 0.0233542 \tabularnewline
57 & 99.59 & 99.642 & 99.7758 & -0.133854 & -0.0519792 \tabularnewline
58 & 99.42 & 99.6646 & 99.8171 & -0.152438 & -0.244646 \tabularnewline
59 & 99.52 & 99.667 & 99.8529 & -0.185937 & -0.146979 \tabularnewline
60 & 99.46 & 99.6821 & 99.8871 & -0.205021 & -0.222062 \tabularnewline
61 & 100.55 & 100.193 & 99.9308 & 0.262479 & 0.356688 \tabularnewline
62 & 100.4 & 100.278 & 99.9762 & 0.302146 & 0.121604 \tabularnewline
63 & 100.15 & 100.256 & 100.019 & 0.237146 & -0.106312 \tabularnewline
64 & 100.2 & 100.21 & 100.072 & 0.138146 & -0.0102292 \tabularnewline
65 & 100.16 & 100.177 & 100.132 & 0.0443125 & -0.0168125 \tabularnewline
66 & 100.19 & 100.147 & 100.196 & -0.0483542 & 0.0425208 \tabularnewline
67 & 100.23 & NA & NA & -0.120271 & NA \tabularnewline
68 & 100.08 & NA & NA & -0.138354 & NA \tabularnewline
69 & 100.15 & NA & NA & -0.133854 & NA \tabularnewline
70 & 100.13 & NA & NA & -0.152438 & NA \tabularnewline
71 & 100.26 & NA & NA & -0.185937 & NA \tabularnewline
72 & 100.24 & NA & NA & -0.205021 & 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]99.57[/C][C]NA[/C][C]NA[/C][C]0.262479[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]98.97[/C][C]NA[/C][C]NA[/C][C]0.302146[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]99[/C][C]NA[/C][C]NA[/C][C]0.237146[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]98.88[/C][C]NA[/C][C]NA[/C][C]0.138146[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]98.9[/C][C]NA[/C][C]NA[/C][C]0.0443125[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]98.92[/C][C]NA[/C][C]NA[/C][C]-0.0483542[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]98.8[/C][C]98.8089[/C][C]98.9292[/C][C]-0.120271[/C][C]-0.00889583[/C][/ROW]
[ROW][C]8[/C][C]98.83[/C][C]98.7787[/C][C]98.9171[/C][C]-0.138354[/C][C]0.0512708[/C][/ROW]
[ROW][C]9[/C][C]98.88[/C][C]98.7982[/C][C]98.9321[/C][C]-0.133854[/C][C]0.0817708[/C][/ROW]
[ROW][C]10[/C][C]98.88[/C][C]98.7867[/C][C]98.9392[/C][C]-0.152438[/C][C]0.0932708[/C][/ROW]
[ROW][C]11[/C][C]98.89[/C][C]98.7582[/C][C]98.9442[/C][C]-0.185937[/C][C]0.131771[/C][/ROW]
[ROW][C]12[/C][C]98.89[/C][C]98.7454[/C][C]98.9504[/C][C]-0.205021[/C][C]0.144604[/C][/ROW]
[ROW][C]13[/C][C]99.05[/C][C]99.2275[/C][C]98.965[/C][C]0.262479[/C][C]-0.177479[/C][/ROW]
[ROW][C]14[/C][C]99.2[/C][C]99.2901[/C][C]98.9879[/C][C]0.302146[/C][C]-0.0900625[/C][/ROW]
[ROW][C]15[/C][C]99.13[/C][C]99.2455[/C][C]99.0083[/C][C]0.237146[/C][C]-0.115479[/C][/ROW]
[ROW][C]16[/C][C]98.92[/C][C]99.1631[/C][C]99.025[/C][C]0.138146[/C][C]-0.243146[/C][/ROW]
[ROW][C]17[/C][C]98.98[/C][C]99.0835[/C][C]99.0392[/C][C]0.0443125[/C][C]-0.103479[/C][/ROW]
[ROW][C]18[/C][C]98.99[/C][C]99.0066[/C][C]99.055[/C][C]-0.0483542[/C][C]-0.0166458[/C][/ROW]
[ROW][C]19[/C][C]99.08[/C][C]98.9731[/C][C]99.0933[/C][C]-0.120271[/C][C]0.106938[/C][/ROW]
[ROW][C]20[/C][C]99.1[/C][C]99.0091[/C][C]99.1475[/C][C]-0.138354[/C][C]0.0908542[/C][/ROW]
[ROW][C]21[/C][C]99.1[/C][C]99.0728[/C][C]99.2067[/C][C]-0.133854[/C][C]0.0271875[/C][/ROW]
[ROW][C]22[/C][C]99.06[/C][C]99.1205[/C][C]99.2729[/C][C]-0.152438[/C][C]-0.0604792[/C][/ROW]
[ROW][C]23[/C][C]99.05[/C][C]99.1428[/C][C]99.3287[/C][C]-0.185937[/C][C]-0.0928125[/C][/ROW]
[ROW][C]24[/C][C]99.11[/C][C]99.1537[/C][C]99.3587[/C][C]-0.205021[/C][C]-0.0437292[/C][/ROW]
[ROW][C]25[/C][C]99.75[/C][C]99.6262[/C][C]99.3637[/C][C]0.262479[/C][C]0.123771[/C][/ROW]
[ROW][C]26[/C][C]99.8[/C][C]99.6605[/C][C]99.3583[/C][C]0.302146[/C][C]0.139521[/C][/ROW]
[ROW][C]27[/C][C]99.95[/C][C]99.5884[/C][C]99.3512[/C][C]0.237146[/C][C]0.361604[/C][/ROW]
[ROW][C]28[/C][C]99.69[/C][C]99.4906[/C][C]99.3525[/C][C]0.138146[/C][C]0.199354[/C][/ROW]
[ROW][C]29[/C][C]99.55[/C][C]99.3993[/C][C]99.355[/C][C]0.0443125[/C][C]0.150688[/C][/ROW]
[ROW][C]30[/C][C]99.14[/C][C]99.3004[/C][C]99.3488[/C][C]-0.0483542[/C][C]-0.160396[/C][/ROW]
[ROW][C]31[/C][C]99.05[/C][C]99.2301[/C][C]99.3504[/C][C]-0.120271[/C][C]-0.180146[/C][/ROW]
[ROW][C]32[/C][C]99[/C][C]99.2341[/C][C]99.3725[/C][C]-0.138354[/C][C]-0.234146[/C][/ROW]
[ROW][C]33[/C][C]99.03[/C][C]99.2649[/C][C]99.3988[/C][C]-0.133854[/C][C]-0.234896[/C][/ROW]
[ROW][C]34[/C][C]99.16[/C][C]99.2751[/C][C]99.4275[/C][C]-0.152438[/C][C]-0.115062[/C][/ROW]
[ROW][C]35[/C][C]99.01[/C][C]99.2724[/C][C]99.4583[/C][C]-0.185937[/C][C]-0.262396[/C][/ROW]
[ROW][C]36[/C][C]99[/C][C]99.2966[/C][C]99.5017[/C][C]-0.205021[/C][C]-0.296646[/C][/ROW]
[ROW][C]37[/C][C]99.9[/C][C]99.8296[/C][C]99.5671[/C][C]0.262479[/C][C]0.0704375[/C][/ROW]
[ROW][C]38[/C][C]100.18[/C][C]99.9409[/C][C]99.6388[/C][C]0.302146[/C][C]0.239104[/C][/ROW]
[ROW][C]39[/C][C]100.2[/C][C]99.9517[/C][C]99.7146[/C][C]0.237146[/C][C]0.248271[/C][/ROW]
[ROW][C]40[/C][C]100.13[/C][C]99.9286[/C][C]99.7904[/C][C]0.138146[/C][C]0.201437[/C][/ROW]
[ROW][C]41[/C][C]99.85[/C][C]99.9147[/C][C]99.8704[/C][C]0.0443125[/C][C]-0.0647292[/C][/ROW]
[ROW][C]42[/C][C]99.88[/C][C]99.9091[/C][C]99.9575[/C][C]-0.0483542[/C][C]-0.0291458[/C][/ROW]
[ROW][C]43[/C][C]99.88[/C][C]99.8739[/C][C]99.9942[/C][C]-0.120271[/C][C]0.00610417[/C][/ROW]
[ROW][C]44[/C][C]99.89[/C][C]99.8283[/C][C]99.9667[/C][C]-0.138354[/C][C]0.0616875[/C][/ROW]
[ROW][C]45[/C][C]99.96[/C][C]99.7891[/C][C]99.9229[/C][C]-0.133854[/C][C]0.170937[/C][/ROW]
[ROW][C]46[/C][C]100.05[/C][C]99.7301[/C][C]99.8825[/C][C]-0.152438[/C][C]0.319937[/C][/ROW]
[ROW][C]47[/C][C]100.04[/C][C]99.6766[/C][C]99.8625[/C][C]-0.185937[/C][C]0.363438[/C][/ROW]
[ROW][C]48[/C][C]100.06[/C][C]99.6491[/C][C]99.8542[/C][C]-0.205021[/C][C]0.410854[/C][/ROW]
[ROW][C]49[/C][C]99.72[/C][C]100.1[/C][C]99.8379[/C][C]0.262479[/C][C]-0.380396[/C][/ROW]
[ROW][C]50[/C][C]99.7[/C][C]100.117[/C][C]99.815[/C][C]0.302146[/C][C]-0.417146[/C][/ROW]
[ROW][C]51[/C][C]99.63[/C][C]100.025[/C][C]99.7879[/C][C]0.237146[/C][C]-0.395062[/C][/ROW]
[ROW][C]52[/C][C]99.73[/C][C]99.8844[/C][C]99.7463[/C][C]0.138146[/C][C]-0.154396[/C][/ROW]
[ROW][C]53[/C][C]99.77[/C][C]99.7426[/C][C]99.6983[/C][C]0.0443125[/C][C]0.0273542[/C][/ROW]
[ROW][C]54[/C][C]99.76[/C][C]99.6033[/C][C]99.6517[/C][C]-0.0483542[/C][C]0.156688[/C][/ROW]
[ROW][C]55[/C][C]99.61[/C][C]99.541[/C][C]99.6612[/C][C]-0.120271[/C][C]0.0690208[/C][/ROW]
[ROW][C]56[/C][C]99.61[/C][C]99.5866[/C][C]99.725[/C][C]-0.138354[/C][C]0.0233542[/C][/ROW]
[ROW][C]57[/C][C]99.59[/C][C]99.642[/C][C]99.7758[/C][C]-0.133854[/C][C]-0.0519792[/C][/ROW]
[ROW][C]58[/C][C]99.42[/C][C]99.6646[/C][C]99.8171[/C][C]-0.152438[/C][C]-0.244646[/C][/ROW]
[ROW][C]59[/C][C]99.52[/C][C]99.667[/C][C]99.8529[/C][C]-0.185937[/C][C]-0.146979[/C][/ROW]
[ROW][C]60[/C][C]99.46[/C][C]99.6821[/C][C]99.8871[/C][C]-0.205021[/C][C]-0.222062[/C][/ROW]
[ROW][C]61[/C][C]100.55[/C][C]100.193[/C][C]99.9308[/C][C]0.262479[/C][C]0.356688[/C][/ROW]
[ROW][C]62[/C][C]100.4[/C][C]100.278[/C][C]99.9762[/C][C]0.302146[/C][C]0.121604[/C][/ROW]
[ROW][C]63[/C][C]100.15[/C][C]100.256[/C][C]100.019[/C][C]0.237146[/C][C]-0.106312[/C][/ROW]
[ROW][C]64[/C][C]100.2[/C][C]100.21[/C][C]100.072[/C][C]0.138146[/C][C]-0.0102292[/C][/ROW]
[ROW][C]65[/C][C]100.16[/C][C]100.177[/C][C]100.132[/C][C]0.0443125[/C][C]-0.0168125[/C][/ROW]
[ROW][C]66[/C][C]100.19[/C][C]100.147[/C][C]100.196[/C][C]-0.0483542[/C][C]0.0425208[/C][/ROW]
[ROW][C]67[/C][C]100.23[/C][C]NA[/C][C]NA[/C][C]-0.120271[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]100.08[/C][C]NA[/C][C]NA[/C][C]-0.138354[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]100.15[/C][C]NA[/C][C]NA[/C][C]-0.133854[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]100.13[/C][C]NA[/C][C]NA[/C][C]-0.152438[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]100.26[/C][C]NA[/C][C]NA[/C][C]-0.185937[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]100.24[/C][C]NA[/C][C]NA[/C][C]-0.205021[/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	99.57	NA	NA	0.262479	NA
2	98.97	NA	NA	0.302146	NA
3	99	NA	NA	0.237146	NA
4	98.88	NA	NA	0.138146	NA
5	98.9	NA	NA	0.0443125	NA
6	98.92	NA	NA	-0.0483542	NA
7	98.8	98.8089	98.9292	-0.120271	-0.00889583
8	98.83	98.7787	98.9171	-0.138354	0.0512708
9	98.88	98.7982	98.9321	-0.133854	0.0817708
10	98.88	98.7867	98.9392	-0.152438	0.0932708
11	98.89	98.7582	98.9442	-0.185937	0.131771
12	98.89	98.7454	98.9504	-0.205021	0.144604
13	99.05	99.2275	98.965	0.262479	-0.177479
14	99.2	99.2901	98.9879	0.302146	-0.0900625
15	99.13	99.2455	99.0083	0.237146	-0.115479
16	98.92	99.1631	99.025	0.138146	-0.243146
17	98.98	99.0835	99.0392	0.0443125	-0.103479
18	98.99	99.0066	99.055	-0.0483542	-0.0166458
19	99.08	98.9731	99.0933	-0.120271	0.106938
20	99.1	99.0091	99.1475	-0.138354	0.0908542
21	99.1	99.0728	99.2067	-0.133854	0.0271875
22	99.06	99.1205	99.2729	-0.152438	-0.0604792
23	99.05	99.1428	99.3287	-0.185937	-0.0928125
24	99.11	99.1537	99.3587	-0.205021	-0.0437292
25	99.75	99.6262	99.3637	0.262479	0.123771
26	99.8	99.6605	99.3583	0.302146	0.139521
27	99.95	99.5884	99.3512	0.237146	0.361604
28	99.69	99.4906	99.3525	0.138146	0.199354
29	99.55	99.3993	99.355	0.0443125	0.150688
30	99.14	99.3004	99.3488	-0.0483542	-0.160396
31	99.05	99.2301	99.3504	-0.120271	-0.180146
32	99	99.2341	99.3725	-0.138354	-0.234146
33	99.03	99.2649	99.3988	-0.133854	-0.234896
34	99.16	99.2751	99.4275	-0.152438	-0.115062
35	99.01	99.2724	99.4583	-0.185937	-0.262396
36	99	99.2966	99.5017	-0.205021	-0.296646
37	99.9	99.8296	99.5671	0.262479	0.0704375
38	100.18	99.9409	99.6388	0.302146	0.239104
39	100.2	99.9517	99.7146	0.237146	0.248271
40	100.13	99.9286	99.7904	0.138146	0.201437
41	99.85	99.9147	99.8704	0.0443125	-0.0647292
42	99.88	99.9091	99.9575	-0.0483542	-0.0291458
43	99.88	99.8739	99.9942	-0.120271	0.00610417
44	99.89	99.8283	99.9667	-0.138354	0.0616875
45	99.96	99.7891	99.9229	-0.133854	0.170937
46	100.05	99.7301	99.8825	-0.152438	0.319937
47	100.04	99.6766	99.8625	-0.185937	0.363438
48	100.06	99.6491	99.8542	-0.205021	0.410854
49	99.72	100.1	99.8379	0.262479	-0.380396
50	99.7	100.117	99.815	0.302146	-0.417146
51	99.63	100.025	99.7879	0.237146	-0.395062
52	99.73	99.8844	99.7463	0.138146	-0.154396
53	99.77	99.7426	99.6983	0.0443125	0.0273542
54	99.76	99.6033	99.6517	-0.0483542	0.156688
55	99.61	99.541	99.6612	-0.120271	0.0690208
56	99.61	99.5866	99.725	-0.138354	0.0233542
57	99.59	99.642	99.7758	-0.133854	-0.0519792
58	99.42	99.6646	99.8171	-0.152438	-0.244646
59	99.52	99.667	99.8529	-0.185937	-0.146979
60	99.46	99.6821	99.8871	-0.205021	-0.222062
61	100.55	100.193	99.9308	0.262479	0.356688
62	100.4	100.278	99.9762	0.302146	0.121604
63	100.15	100.256	100.019	0.237146	-0.106312
64	100.2	100.21	100.072	0.138146	-0.0102292
65	100.16	100.177	100.132	0.0443125	-0.0168125
66	100.19	100.147	100.196	-0.0483542	0.0425208
67	100.23	NA	NA	-0.120271	NA
68	100.08	NA	NA	-0.138354	NA
69	100.15	NA	NA	-0.133854	NA
70	100.13	NA	NA	-0.152438	NA
71	100.26	NA	NA	-0.185937	NA
72	100.24	NA	NA	-0.205021	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