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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Thu, 24 Nov 2016 16:18:46 +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/t1480005843c3ksq90ll9g3s6v.htm/, Retrieved Wed, 08 May 2024 02:52:07 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Wed, 08 May 2024 02:52:07 +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	'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.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]'George Udny Yule' @ yule.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	'George Udny Yule' @ yule.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	70.99	NA	NA	-0.909931	NA
2	70.99	NA	NA	-0.923194	NA
3	72.03	NA	NA	0.0259722	NA
4	72.31	NA	NA	0.825903	NA
5	72.33	NA	NA	0.875486	NA
6	72.33	NA	NA	0.503264	NA
7	73.14	73.0962	72.6387	0.4575	0.04375
8	73.28	73.1088	72.8296	0.279236	0.171181
9	73.28	73.0555	73.0208	0.0346528	0.224514
10	73.28	73.071	73.2583	-0.187292	0.208958
11	73.28	73.2919	73.58	-0.288056	-0.0119444
12	73.28	73.2465	73.94	-0.693542	0.0335417
13	73.28	73.3567	74.2667	-0.909931	-0.0767361
14	73.28	73.631	74.5542	-0.923194	-0.350972
15	74.33	74.8618	74.8358	0.0259722	-0.531806
16	75.71	75.9434	75.1175	0.825903	-0.233403
17	76.65	76.2747	75.3992	0.875486	0.375347
18	76.65	76.1637	75.6604	0.503264	0.486319
19	76.66	76.3537	75.8962	0.4575	0.30625
20	76.66	76.4067	76.1275	0.279236	0.253264
21	76.66	76.3509	76.3163	0.0346528	0.309097
22	76.66	76.3398	76.5271	-0.187292	0.320208
23	76.66	76.5253	76.8133	-0.288056	0.134722
24	76.17	76.3994	77.0929	-0.693542	-0.229375
25	76.05	76.4626	77.3725	-0.909931	-0.412569
26	76.06	76.7901	77.7133	-0.923194	-0.730139
27	76.08	78.1585	78.1325	0.0259722	-2.07847
28	79.02	79.413	78.5871	0.825903	-0.392986
29	80.21	79.918	79.0425	0.875486	0.292014
30	79.8	80.0216	79.5183	0.503264	-0.221597
31	80.22	80.4775	80.02	0.4575	-0.2575
32	81.28	80.8055	80.5262	0.279236	0.474514
33	82.1	81.0659	81.0312	0.0346528	1.0341
34	82.13	81.2485	81.4358	-0.187292	0.881458
35	82.12	81.4503	81.7383	-0.288056	0.669722
36	82.13	81.3915	82.085	-0.693542	0.738542
37	82.13	81.5513	82.4613	-0.909931	0.578681
38	82.13	81.8547	82.7779	-0.923194	0.275278
39	82.13	83.0447	83.0188	0.0259722	-0.914722
40	82.68	84.0797	83.2538	0.825903	-1.39965
41	83.81	84.443	83.5675	0.875486	-0.632986
42	84.52	84.4474	83.9442	0.503264	0.0725694
43	84.53	84.7917	84.3342	0.4575	-0.261667
44	84.57	85.0726	84.7933	0.279236	-0.502569
45	84.59	85.5709	85.5363	0.0346528	-0.980903
46	85.28	86.3731	86.5604	-0.187292	-1.09312
47	86.5	87.3207	87.6088	-0.288056	-0.820694
48	86.79	87.8977	88.5912	-0.693542	-1.10771
49	86.83	88.6376	89.5475	-0.909931	-1.80757
50	88.45	89.5764	90.4996	-0.923194	-1.12639
51	93.64	91.4756	91.4496	0.0259722	2.16444
52	95.75	93.1984	92.3725	0.825903	2.5516
53	95.9	94.093	93.2175	0.875486	1.80701
54	96.01	94.5037	94.0004	0.503264	1.50632
55	95.99	95.2271	94.7696	0.4575	0.762917
56	95.96	95.7488	95.4696	0.279236	0.211181
57	96	95.9242	95.8896	0.0346528	0.0757639
58	96.02	95.8235	96.0108	-0.187292	0.196458
59	96.04	95.7524	96.0404	-0.288056	0.287639
60	96.04	95.3652	96.0587	-0.693542	0.674792
61	96.04	95.1742	96.0842	-0.909931	0.865764
62	96.04	95.2014	96.1246	-0.923194	0.838611
63	96.13	96.1914	96.1654	0.0259722	-0.0613889
64	96.17	97.0417	96.2158	0.825903	-0.871736
65	96.19	97.1722	96.2967	0.875486	-0.982153
66	96.16	96.9008	96.3975	0.503264	-0.740764
67	96.45	97	96.5425	0.4575	-0.55
68	96.47	97.0338	96.7546	0.279236	-0.563819
69	96.47	97.0888	97.0542	0.0346528	-0.618819
70	96.76	97.2302	97.4175	-0.187292	-0.470208
71	97.24	97.4557	97.7438	-0.288056	-0.215694
72	97.26	97.326	98.0196	-0.693542	-0.0660417
73	98.3	97.4038	98.3137	-0.909931	0.896181
74	98.87	97.7326	98.6558	-0.923194	1.13736
75	100.49	99.0243	98.9983	0.0259722	1.46569
76	100.53	100.14	99.3142	0.825903	0.389931
77	99.66	100.475	99.6	0.875486	-0.815486
78	99.31	100.369	99.8658	0.503264	-1.0591
79	100.36	NA	NA	0.4575	NA
80	100.77	NA	NA	0.279236	NA
81	100.39	NA	NA	0.0346528	NA
82	100.42	NA	NA	-0.187292	NA
83	100.44	NA	NA	-0.288056	NA
84	100.44	NA	NA	-0.693542	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 70.99 & NA & NA & -0.909931 & NA \tabularnewline
2 & 70.99 & NA & NA & -0.923194 & NA \tabularnewline
3 & 72.03 & NA & NA & 0.0259722 & NA \tabularnewline
4 & 72.31 & NA & NA & 0.825903 & NA \tabularnewline
5 & 72.33 & NA & NA & 0.875486 & NA \tabularnewline
6 & 72.33 & NA & NA & 0.503264 & NA \tabularnewline
7 & 73.14 & 73.0962 & 72.6387 & 0.4575 & 0.04375 \tabularnewline
8 & 73.28 & 73.1088 & 72.8296 & 0.279236 & 0.171181 \tabularnewline
9 & 73.28 & 73.0555 & 73.0208 & 0.0346528 & 0.224514 \tabularnewline
10 & 73.28 & 73.071 & 73.2583 & -0.187292 & 0.208958 \tabularnewline
11 & 73.28 & 73.2919 & 73.58 & -0.288056 & -0.0119444 \tabularnewline
12 & 73.28 & 73.2465 & 73.94 & -0.693542 & 0.0335417 \tabularnewline
13 & 73.28 & 73.3567 & 74.2667 & -0.909931 & -0.0767361 \tabularnewline
14 & 73.28 & 73.631 & 74.5542 & -0.923194 & -0.350972 \tabularnewline
15 & 74.33 & 74.8618 & 74.8358 & 0.0259722 & -0.531806 \tabularnewline
16 & 75.71 & 75.9434 & 75.1175 & 0.825903 & -0.233403 \tabularnewline
17 & 76.65 & 76.2747 & 75.3992 & 0.875486 & 0.375347 \tabularnewline
18 & 76.65 & 76.1637 & 75.6604 & 0.503264 & 0.486319 \tabularnewline
19 & 76.66 & 76.3537 & 75.8962 & 0.4575 & 0.30625 \tabularnewline
20 & 76.66 & 76.4067 & 76.1275 & 0.279236 & 0.253264 \tabularnewline
21 & 76.66 & 76.3509 & 76.3163 & 0.0346528 & 0.309097 \tabularnewline
22 & 76.66 & 76.3398 & 76.5271 & -0.187292 & 0.320208 \tabularnewline
23 & 76.66 & 76.5253 & 76.8133 & -0.288056 & 0.134722 \tabularnewline
24 & 76.17 & 76.3994 & 77.0929 & -0.693542 & -0.229375 \tabularnewline
25 & 76.05 & 76.4626 & 77.3725 & -0.909931 & -0.412569 \tabularnewline
26 & 76.06 & 76.7901 & 77.7133 & -0.923194 & -0.730139 \tabularnewline
27 & 76.08 & 78.1585 & 78.1325 & 0.0259722 & -2.07847 \tabularnewline
28 & 79.02 & 79.413 & 78.5871 & 0.825903 & -0.392986 \tabularnewline
29 & 80.21 & 79.918 & 79.0425 & 0.875486 & 0.292014 \tabularnewline
30 & 79.8 & 80.0216 & 79.5183 & 0.503264 & -0.221597 \tabularnewline
31 & 80.22 & 80.4775 & 80.02 & 0.4575 & -0.2575 \tabularnewline
32 & 81.28 & 80.8055 & 80.5262 & 0.279236 & 0.474514 \tabularnewline
33 & 82.1 & 81.0659 & 81.0312 & 0.0346528 & 1.0341 \tabularnewline
34 & 82.13 & 81.2485 & 81.4358 & -0.187292 & 0.881458 \tabularnewline
35 & 82.12 & 81.4503 & 81.7383 & -0.288056 & 0.669722 \tabularnewline
36 & 82.13 & 81.3915 & 82.085 & -0.693542 & 0.738542 \tabularnewline
37 & 82.13 & 81.5513 & 82.4613 & -0.909931 & 0.578681 \tabularnewline
38 & 82.13 & 81.8547 & 82.7779 & -0.923194 & 0.275278 \tabularnewline
39 & 82.13 & 83.0447 & 83.0188 & 0.0259722 & -0.914722 \tabularnewline
40 & 82.68 & 84.0797 & 83.2538 & 0.825903 & -1.39965 \tabularnewline
41 & 83.81 & 84.443 & 83.5675 & 0.875486 & -0.632986 \tabularnewline
42 & 84.52 & 84.4474 & 83.9442 & 0.503264 & 0.0725694 \tabularnewline
43 & 84.53 & 84.7917 & 84.3342 & 0.4575 & -0.261667 \tabularnewline
44 & 84.57 & 85.0726 & 84.7933 & 0.279236 & -0.502569 \tabularnewline
45 & 84.59 & 85.5709 & 85.5363 & 0.0346528 & -0.980903 \tabularnewline
46 & 85.28 & 86.3731 & 86.5604 & -0.187292 & -1.09312 \tabularnewline
47 & 86.5 & 87.3207 & 87.6088 & -0.288056 & -0.820694 \tabularnewline
48 & 86.79 & 87.8977 & 88.5912 & -0.693542 & -1.10771 \tabularnewline
49 & 86.83 & 88.6376 & 89.5475 & -0.909931 & -1.80757 \tabularnewline
50 & 88.45 & 89.5764 & 90.4996 & -0.923194 & -1.12639 \tabularnewline
51 & 93.64 & 91.4756 & 91.4496 & 0.0259722 & 2.16444 \tabularnewline
52 & 95.75 & 93.1984 & 92.3725 & 0.825903 & 2.5516 \tabularnewline
53 & 95.9 & 94.093 & 93.2175 & 0.875486 & 1.80701 \tabularnewline
54 & 96.01 & 94.5037 & 94.0004 & 0.503264 & 1.50632 \tabularnewline
55 & 95.99 & 95.2271 & 94.7696 & 0.4575 & 0.762917 \tabularnewline
56 & 95.96 & 95.7488 & 95.4696 & 0.279236 & 0.211181 \tabularnewline
57 & 96 & 95.9242 & 95.8896 & 0.0346528 & 0.0757639 \tabularnewline
58 & 96.02 & 95.8235 & 96.0108 & -0.187292 & 0.196458 \tabularnewline
59 & 96.04 & 95.7524 & 96.0404 & -0.288056 & 0.287639 \tabularnewline
60 & 96.04 & 95.3652 & 96.0587 & -0.693542 & 0.674792 \tabularnewline
61 & 96.04 & 95.1742 & 96.0842 & -0.909931 & 0.865764 \tabularnewline
62 & 96.04 & 95.2014 & 96.1246 & -0.923194 & 0.838611 \tabularnewline
63 & 96.13 & 96.1914 & 96.1654 & 0.0259722 & -0.0613889 \tabularnewline
64 & 96.17 & 97.0417 & 96.2158 & 0.825903 & -0.871736 \tabularnewline
65 & 96.19 & 97.1722 & 96.2967 & 0.875486 & -0.982153 \tabularnewline
66 & 96.16 & 96.9008 & 96.3975 & 0.503264 & -0.740764 \tabularnewline
67 & 96.45 & 97 & 96.5425 & 0.4575 & -0.55 \tabularnewline
68 & 96.47 & 97.0338 & 96.7546 & 0.279236 & -0.563819 \tabularnewline
69 & 96.47 & 97.0888 & 97.0542 & 0.0346528 & -0.618819 \tabularnewline
70 & 96.76 & 97.2302 & 97.4175 & -0.187292 & -0.470208 \tabularnewline
71 & 97.24 & 97.4557 & 97.7438 & -0.288056 & -0.215694 \tabularnewline
72 & 97.26 & 97.326 & 98.0196 & -0.693542 & -0.0660417 \tabularnewline
73 & 98.3 & 97.4038 & 98.3137 & -0.909931 & 0.896181 \tabularnewline
74 & 98.87 & 97.7326 & 98.6558 & -0.923194 & 1.13736 \tabularnewline
75 & 100.49 & 99.0243 & 98.9983 & 0.0259722 & 1.46569 \tabularnewline
76 & 100.53 & 100.14 & 99.3142 & 0.825903 & 0.389931 \tabularnewline
77 & 99.66 & 100.475 & 99.6 & 0.875486 & -0.815486 \tabularnewline
78 & 99.31 & 100.369 & 99.8658 & 0.503264 & -1.0591 \tabularnewline
79 & 100.36 & NA & NA & 0.4575 & NA \tabularnewline
80 & 100.77 & NA & NA & 0.279236 & NA \tabularnewline
81 & 100.39 & NA & NA & 0.0346528 & NA \tabularnewline
82 & 100.42 & NA & NA & -0.187292 & NA \tabularnewline
83 & 100.44 & NA & NA & -0.288056 & NA \tabularnewline
84 & 100.44 & NA & NA & -0.693542 & 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]70.99[/C][C]NA[/C][C]NA[/C][C]-0.909931[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]70.99[/C][C]NA[/C][C]NA[/C][C]-0.923194[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]72.03[/C][C]NA[/C][C]NA[/C][C]0.0259722[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]72.31[/C][C]NA[/C][C]NA[/C][C]0.825903[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]72.33[/C][C]NA[/C][C]NA[/C][C]0.875486[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]72.33[/C][C]NA[/C][C]NA[/C][C]0.503264[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]73.14[/C][C]73.0962[/C][C]72.6387[/C][C]0.4575[/C][C]0.04375[/C][/ROW]
[ROW][C]8[/C][C]73.28[/C][C]73.1088[/C][C]72.8296[/C][C]0.279236[/C][C]0.171181[/C][/ROW]
[ROW][C]9[/C][C]73.28[/C][C]73.0555[/C][C]73.0208[/C][C]0.0346528[/C][C]0.224514[/C][/ROW]
[ROW][C]10[/C][C]73.28[/C][C]73.071[/C][C]73.2583[/C][C]-0.187292[/C][C]0.208958[/C][/ROW]
[ROW][C]11[/C][C]73.28[/C][C]73.2919[/C][C]73.58[/C][C]-0.288056[/C][C]-0.0119444[/C][/ROW]
[ROW][C]12[/C][C]73.28[/C][C]73.2465[/C][C]73.94[/C][C]-0.693542[/C][C]0.0335417[/C][/ROW]
[ROW][C]13[/C][C]73.28[/C][C]73.3567[/C][C]74.2667[/C][C]-0.909931[/C][C]-0.0767361[/C][/ROW]
[ROW][C]14[/C][C]73.28[/C][C]73.631[/C][C]74.5542[/C][C]-0.923194[/C][C]-0.350972[/C][/ROW]
[ROW][C]15[/C][C]74.33[/C][C]74.8618[/C][C]74.8358[/C][C]0.0259722[/C][C]-0.531806[/C][/ROW]
[ROW][C]16[/C][C]75.71[/C][C]75.9434[/C][C]75.1175[/C][C]0.825903[/C][C]-0.233403[/C][/ROW]
[ROW][C]17[/C][C]76.65[/C][C]76.2747[/C][C]75.3992[/C][C]0.875486[/C][C]0.375347[/C][/ROW]
[ROW][C]18[/C][C]76.65[/C][C]76.1637[/C][C]75.6604[/C][C]0.503264[/C][C]0.486319[/C][/ROW]
[ROW][C]19[/C][C]76.66[/C][C]76.3537[/C][C]75.8962[/C][C]0.4575[/C][C]0.30625[/C][/ROW]
[ROW][C]20[/C][C]76.66[/C][C]76.4067[/C][C]76.1275[/C][C]0.279236[/C][C]0.253264[/C][/ROW]
[ROW][C]21[/C][C]76.66[/C][C]76.3509[/C][C]76.3163[/C][C]0.0346528[/C][C]0.309097[/C][/ROW]
[ROW][C]22[/C][C]76.66[/C][C]76.3398[/C][C]76.5271[/C][C]-0.187292[/C][C]0.320208[/C][/ROW]
[ROW][C]23[/C][C]76.66[/C][C]76.5253[/C][C]76.8133[/C][C]-0.288056[/C][C]0.134722[/C][/ROW]
[ROW][C]24[/C][C]76.17[/C][C]76.3994[/C][C]77.0929[/C][C]-0.693542[/C][C]-0.229375[/C][/ROW]
[ROW][C]25[/C][C]76.05[/C][C]76.4626[/C][C]77.3725[/C][C]-0.909931[/C][C]-0.412569[/C][/ROW]
[ROW][C]26[/C][C]76.06[/C][C]76.7901[/C][C]77.7133[/C][C]-0.923194[/C][C]-0.730139[/C][/ROW]
[ROW][C]27[/C][C]76.08[/C][C]78.1585[/C][C]78.1325[/C][C]0.0259722[/C][C]-2.07847[/C][/ROW]
[ROW][C]28[/C][C]79.02[/C][C]79.413[/C][C]78.5871[/C][C]0.825903[/C][C]-0.392986[/C][/ROW]
[ROW][C]29[/C][C]80.21[/C][C]79.918[/C][C]79.0425[/C][C]0.875486[/C][C]0.292014[/C][/ROW]
[ROW][C]30[/C][C]79.8[/C][C]80.0216[/C][C]79.5183[/C][C]0.503264[/C][C]-0.221597[/C][/ROW]
[ROW][C]31[/C][C]80.22[/C][C]80.4775[/C][C]80.02[/C][C]0.4575[/C][C]-0.2575[/C][/ROW]
[ROW][C]32[/C][C]81.28[/C][C]80.8055[/C][C]80.5262[/C][C]0.279236[/C][C]0.474514[/C][/ROW]
[ROW][C]33[/C][C]82.1[/C][C]81.0659[/C][C]81.0312[/C][C]0.0346528[/C][C]1.0341[/C][/ROW]
[ROW][C]34[/C][C]82.13[/C][C]81.2485[/C][C]81.4358[/C][C]-0.187292[/C][C]0.881458[/C][/ROW]
[ROW][C]35[/C][C]82.12[/C][C]81.4503[/C][C]81.7383[/C][C]-0.288056[/C][C]0.669722[/C][/ROW]
[ROW][C]36[/C][C]82.13[/C][C]81.3915[/C][C]82.085[/C][C]-0.693542[/C][C]0.738542[/C][/ROW]
[ROW][C]37[/C][C]82.13[/C][C]81.5513[/C][C]82.4613[/C][C]-0.909931[/C][C]0.578681[/C][/ROW]
[ROW][C]38[/C][C]82.13[/C][C]81.8547[/C][C]82.7779[/C][C]-0.923194[/C][C]0.275278[/C][/ROW]
[ROW][C]39[/C][C]82.13[/C][C]83.0447[/C][C]83.0188[/C][C]0.0259722[/C][C]-0.914722[/C][/ROW]
[ROW][C]40[/C][C]82.68[/C][C]84.0797[/C][C]83.2538[/C][C]0.825903[/C][C]-1.39965[/C][/ROW]
[ROW][C]41[/C][C]83.81[/C][C]84.443[/C][C]83.5675[/C][C]0.875486[/C][C]-0.632986[/C][/ROW]
[ROW][C]42[/C][C]84.52[/C][C]84.4474[/C][C]83.9442[/C][C]0.503264[/C][C]0.0725694[/C][/ROW]
[ROW][C]43[/C][C]84.53[/C][C]84.7917[/C][C]84.3342[/C][C]0.4575[/C][C]-0.261667[/C][/ROW]
[ROW][C]44[/C][C]84.57[/C][C]85.0726[/C][C]84.7933[/C][C]0.279236[/C][C]-0.502569[/C][/ROW]
[ROW][C]45[/C][C]84.59[/C][C]85.5709[/C][C]85.5363[/C][C]0.0346528[/C][C]-0.980903[/C][/ROW]
[ROW][C]46[/C][C]85.28[/C][C]86.3731[/C][C]86.5604[/C][C]-0.187292[/C][C]-1.09312[/C][/ROW]
[ROW][C]47[/C][C]86.5[/C][C]87.3207[/C][C]87.6088[/C][C]-0.288056[/C][C]-0.820694[/C][/ROW]
[ROW][C]48[/C][C]86.79[/C][C]87.8977[/C][C]88.5912[/C][C]-0.693542[/C][C]-1.10771[/C][/ROW]
[ROW][C]49[/C][C]86.83[/C][C]88.6376[/C][C]89.5475[/C][C]-0.909931[/C][C]-1.80757[/C][/ROW]
[ROW][C]50[/C][C]88.45[/C][C]89.5764[/C][C]90.4996[/C][C]-0.923194[/C][C]-1.12639[/C][/ROW]
[ROW][C]51[/C][C]93.64[/C][C]91.4756[/C][C]91.4496[/C][C]0.0259722[/C][C]2.16444[/C][/ROW]
[ROW][C]52[/C][C]95.75[/C][C]93.1984[/C][C]92.3725[/C][C]0.825903[/C][C]2.5516[/C][/ROW]
[ROW][C]53[/C][C]95.9[/C][C]94.093[/C][C]93.2175[/C][C]0.875486[/C][C]1.80701[/C][/ROW]
[ROW][C]54[/C][C]96.01[/C][C]94.5037[/C][C]94.0004[/C][C]0.503264[/C][C]1.50632[/C][/ROW]
[ROW][C]55[/C][C]95.99[/C][C]95.2271[/C][C]94.7696[/C][C]0.4575[/C][C]0.762917[/C][/ROW]
[ROW][C]56[/C][C]95.96[/C][C]95.7488[/C][C]95.4696[/C][C]0.279236[/C][C]0.211181[/C][/ROW]
[ROW][C]57[/C][C]96[/C][C]95.9242[/C][C]95.8896[/C][C]0.0346528[/C][C]0.0757639[/C][/ROW]
[ROW][C]58[/C][C]96.02[/C][C]95.8235[/C][C]96.0108[/C][C]-0.187292[/C][C]0.196458[/C][/ROW]
[ROW][C]59[/C][C]96.04[/C][C]95.7524[/C][C]96.0404[/C][C]-0.288056[/C][C]0.287639[/C][/ROW]
[ROW][C]60[/C][C]96.04[/C][C]95.3652[/C][C]96.0587[/C][C]-0.693542[/C][C]0.674792[/C][/ROW]
[ROW][C]61[/C][C]96.04[/C][C]95.1742[/C][C]96.0842[/C][C]-0.909931[/C][C]0.865764[/C][/ROW]
[ROW][C]62[/C][C]96.04[/C][C]95.2014[/C][C]96.1246[/C][C]-0.923194[/C][C]0.838611[/C][/ROW]
[ROW][C]63[/C][C]96.13[/C][C]96.1914[/C][C]96.1654[/C][C]0.0259722[/C][C]-0.0613889[/C][/ROW]
[ROW][C]64[/C][C]96.17[/C][C]97.0417[/C][C]96.2158[/C][C]0.825903[/C][C]-0.871736[/C][/ROW]
[ROW][C]65[/C][C]96.19[/C][C]97.1722[/C][C]96.2967[/C][C]0.875486[/C][C]-0.982153[/C][/ROW]
[ROW][C]66[/C][C]96.16[/C][C]96.9008[/C][C]96.3975[/C][C]0.503264[/C][C]-0.740764[/C][/ROW]
[ROW][C]67[/C][C]96.45[/C][C]97[/C][C]96.5425[/C][C]0.4575[/C][C]-0.55[/C][/ROW]
[ROW][C]68[/C][C]96.47[/C][C]97.0338[/C][C]96.7546[/C][C]0.279236[/C][C]-0.563819[/C][/ROW]
[ROW][C]69[/C][C]96.47[/C][C]97.0888[/C][C]97.0542[/C][C]0.0346528[/C][C]-0.618819[/C][/ROW]
[ROW][C]70[/C][C]96.76[/C][C]97.2302[/C][C]97.4175[/C][C]-0.187292[/C][C]-0.470208[/C][/ROW]
[ROW][C]71[/C][C]97.24[/C][C]97.4557[/C][C]97.7438[/C][C]-0.288056[/C][C]-0.215694[/C][/ROW]
[ROW][C]72[/C][C]97.26[/C][C]97.326[/C][C]98.0196[/C][C]-0.693542[/C][C]-0.0660417[/C][/ROW]
[ROW][C]73[/C][C]98.3[/C][C]97.4038[/C][C]98.3137[/C][C]-0.909931[/C][C]0.896181[/C][/ROW]
[ROW][C]74[/C][C]98.87[/C][C]97.7326[/C][C]98.6558[/C][C]-0.923194[/C][C]1.13736[/C][/ROW]
[ROW][C]75[/C][C]100.49[/C][C]99.0243[/C][C]98.9983[/C][C]0.0259722[/C][C]1.46569[/C][/ROW]
[ROW][C]76[/C][C]100.53[/C][C]100.14[/C][C]99.3142[/C][C]0.825903[/C][C]0.389931[/C][/ROW]
[ROW][C]77[/C][C]99.66[/C][C]100.475[/C][C]99.6[/C][C]0.875486[/C][C]-0.815486[/C][/ROW]
[ROW][C]78[/C][C]99.31[/C][C]100.369[/C][C]99.8658[/C][C]0.503264[/C][C]-1.0591[/C][/ROW]
[ROW][C]79[/C][C]100.36[/C][C]NA[/C][C]NA[/C][C]0.4575[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]100.77[/C][C]NA[/C][C]NA[/C][C]0.279236[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]100.39[/C][C]NA[/C][C]NA[/C][C]0.0346528[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]100.42[/C][C]NA[/C][C]NA[/C][C]-0.187292[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]100.44[/C][C]NA[/C][C]NA[/C][C]-0.288056[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]100.44[/C][C]NA[/C][C]NA[/C][C]-0.693542[/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	70.99	NA	NA	-0.909931	NA
2	70.99	NA	NA	-0.923194	NA
3	72.03	NA	NA	0.0259722	NA
4	72.31	NA	NA	0.825903	NA
5	72.33	NA	NA	0.875486	NA
6	72.33	NA	NA	0.503264	NA
7	73.14	73.0962	72.6387	0.4575	0.04375
8	73.28	73.1088	72.8296	0.279236	0.171181
9	73.28	73.0555	73.0208	0.0346528	0.224514
10	73.28	73.071	73.2583	-0.187292	0.208958
11	73.28	73.2919	73.58	-0.288056	-0.0119444
12	73.28	73.2465	73.94	-0.693542	0.0335417
13	73.28	73.3567	74.2667	-0.909931	-0.0767361
14	73.28	73.631	74.5542	-0.923194	-0.350972
15	74.33	74.8618	74.8358	0.0259722	-0.531806
16	75.71	75.9434	75.1175	0.825903	-0.233403
17	76.65	76.2747	75.3992	0.875486	0.375347
18	76.65	76.1637	75.6604	0.503264	0.486319
19	76.66	76.3537	75.8962	0.4575	0.30625
20	76.66	76.4067	76.1275	0.279236	0.253264
21	76.66	76.3509	76.3163	0.0346528	0.309097
22	76.66	76.3398	76.5271	-0.187292	0.320208
23	76.66	76.5253	76.8133	-0.288056	0.134722
24	76.17	76.3994	77.0929	-0.693542	-0.229375
25	76.05	76.4626	77.3725	-0.909931	-0.412569
26	76.06	76.7901	77.7133	-0.923194	-0.730139
27	76.08	78.1585	78.1325	0.0259722	-2.07847
28	79.02	79.413	78.5871	0.825903	-0.392986
29	80.21	79.918	79.0425	0.875486	0.292014
30	79.8	80.0216	79.5183	0.503264	-0.221597
31	80.22	80.4775	80.02	0.4575	-0.2575
32	81.28	80.8055	80.5262	0.279236	0.474514
33	82.1	81.0659	81.0312	0.0346528	1.0341
34	82.13	81.2485	81.4358	-0.187292	0.881458
35	82.12	81.4503	81.7383	-0.288056	0.669722
36	82.13	81.3915	82.085	-0.693542	0.738542
37	82.13	81.5513	82.4613	-0.909931	0.578681
38	82.13	81.8547	82.7779	-0.923194	0.275278
39	82.13	83.0447	83.0188	0.0259722	-0.914722
40	82.68	84.0797	83.2538	0.825903	-1.39965
41	83.81	84.443	83.5675	0.875486	-0.632986
42	84.52	84.4474	83.9442	0.503264	0.0725694
43	84.53	84.7917	84.3342	0.4575	-0.261667
44	84.57	85.0726	84.7933	0.279236	-0.502569
45	84.59	85.5709	85.5363	0.0346528	-0.980903
46	85.28	86.3731	86.5604	-0.187292	-1.09312
47	86.5	87.3207	87.6088	-0.288056	-0.820694
48	86.79	87.8977	88.5912	-0.693542	-1.10771
49	86.83	88.6376	89.5475	-0.909931	-1.80757
50	88.45	89.5764	90.4996	-0.923194	-1.12639
51	93.64	91.4756	91.4496	0.0259722	2.16444
52	95.75	93.1984	92.3725	0.825903	2.5516
53	95.9	94.093	93.2175	0.875486	1.80701
54	96.01	94.5037	94.0004	0.503264	1.50632
55	95.99	95.2271	94.7696	0.4575	0.762917
56	95.96	95.7488	95.4696	0.279236	0.211181
57	96	95.9242	95.8896	0.0346528	0.0757639
58	96.02	95.8235	96.0108	-0.187292	0.196458
59	96.04	95.7524	96.0404	-0.288056	0.287639
60	96.04	95.3652	96.0587	-0.693542	0.674792
61	96.04	95.1742	96.0842	-0.909931	0.865764
62	96.04	95.2014	96.1246	-0.923194	0.838611
63	96.13	96.1914	96.1654	0.0259722	-0.0613889
64	96.17	97.0417	96.2158	0.825903	-0.871736
65	96.19	97.1722	96.2967	0.875486	-0.982153
66	96.16	96.9008	96.3975	0.503264	-0.740764
67	96.45	97	96.5425	0.4575	-0.55
68	96.47	97.0338	96.7546	0.279236	-0.563819
69	96.47	97.0888	97.0542	0.0346528	-0.618819
70	96.76	97.2302	97.4175	-0.187292	-0.470208
71	97.24	97.4557	97.7438	-0.288056	-0.215694
72	97.26	97.326	98.0196	-0.693542	-0.0660417
73	98.3	97.4038	98.3137	-0.909931	0.896181
74	98.87	97.7326	98.6558	-0.923194	1.13736
75	100.49	99.0243	98.9983	0.0259722	1.46569
76	100.53	100.14	99.3142	0.825903	0.389931
77	99.66	100.475	99.6	0.875486	-0.815486
78	99.31	100.369	99.8658	0.503264	-1.0591
79	100.36	NA	NA	0.4575	NA
80	100.77	NA	NA	0.279236	NA
81	100.39	NA	NA	0.0346528	NA
82	100.42	NA	NA	-0.187292	NA
83	100.44	NA	NA	-0.288056	NA
84	100.44	NA	NA	-0.693542	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