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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 25 Nov 2015 18:31:11 +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/25/t1448476345dmd2nusozfqqp7y.htm/, Retrieved Wed, 15 May 2024 12:25:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284149, Retrieved Wed, 15 May 2024 12:25:18 +0000

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Estimated Impact

107

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-       [Classical Decomposition] [] [2015-11-25 18:31:11] [45f7fcffe569af381f5269bedb4e9f14] [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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284149&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284149&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284149&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 Ronald Aylmer Fisher' @ fisher.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	79.55	NA	NA	0.158724	NA
2	80.08	NA	NA	0.23138	NA
3	80.15	NA	NA	0.173776	NA
4	80.69	NA	NA	0.603828	NA
5	81.56	NA	NA	0.470703	NA
6	81.23	NA	NA	0.19362	NA
7	81.39	81.4093	81.455	-0.045651	-0.019349
8	81.61	81.2778	81.7329	-0.455078	0.332161
9	82.25	81.5339	81.9875	-0.45362	0.71612
10	82.06	81.9183	82.2625	-0.344193	0.141693
11	82.82	82.3339	82.4992	-0.165286	0.48612
12	82.3	82.3218	82.69	-0.368203	-0.0217969
13	83.09	83.0666	82.9079	0.158724	0.0233594
14	83.21	83.3397	83.1083	0.23138	-0.129714
15	83.13	83.4509	83.2771	0.173776	-0.320859
16	84.31	84.0901	83.4862	0.603828	0.219922
17	83.62	84.224	83.7533	0.470703	-0.604036
18	83.75	84.2674	84.0737	0.19362	-0.51737
19	84.1	84.3906	84.4362	-0.045651	-0.290599
20	83.71	84.3462	84.8012	-0.455078	-0.636172
21	84.2	84.7355	85.1892	-0.45362	-0.535547
22	85.13	85.2487	85.5929	-0.344193	-0.118724
23	86.16	85.8797	86.045	-0.165286	0.280286
24	86.65	86.1676	86.5358	-0.368203	0.48237
25	87.44	87.1841	87.0254	0.158724	0.255859
26	87.62	87.7489	87.5175	0.23138	-0.12888
27	88.03	88.1538	87.98	0.173776	-0.123776
28	89.1	89.0026	88.3987	0.603828	0.0974219
29	89.68	89.217	88.7462	0.470703	0.463047
30	89.47	89.2215	89.0279	0.19362	0.248464
31	90.13	89.2573	89.3029	-0.045651	0.872734
32	89.49	89.1249	89.58	-0.455078	0.365078
33	89.52	89.3701	89.8238	-0.45362	0.14987
34	89.86	89.6658	90.01	-0.344193	0.194193
35	89.77	89.968	90.1333	-0.165286	-0.198047
36	89.8	89.8385	90.2067	-0.368203	-0.0384635
37	90.89	90.3737	90.215	0.158724	0.516276
38	90.82	90.4226	90.1912	0.23138	0.39737
39	90.68	90.3454	90.1717	0.173776	0.334557
40	90.92	90.7463	90.1425	0.603828	0.173672
41	90.82	90.5953	90.1246	0.470703	0.224714
42	90.09	90.307	90.1133	0.19362	-0.216953
43	89.71	90.0485	90.0942	-0.045651	-0.338516
44	89.34	89.6337	90.0888	-0.455078	-0.293672
45	89.2	89.6705	90.1242	-0.45362	-0.470547
46	89.48	89.8358	90.18	-0.344193	-0.355807
47	89.72	90.0789	90.2442	-0.165286	-0.35888
48	89.58	89.9726	90.3408	-0.368203	-0.39263
49	90.65	90.6262	90.4675	0.158724	0.023776
50	90.93	90.8518	90.6204	0.23138	0.0782031
51	91.42	90.9838	90.81	0.173776	0.436224
52	91.52	91.6155	91.0117	0.603828	-0.0954948
53	91.76	91.6682	91.1975	0.470703	0.0917969
54	91.47	91.5815	91.3879	0.19362	-0.111536
55	91.37	91.5218	91.5675	-0.045651	-0.151849
56	91.35	91.2753	91.7304	-0.455078	0.0746615
57	91.74	91.4185	91.8721	-0.45362	0.321536
58	91.78	91.6621	92.0062	-0.344193	0.117943
59	91.88	91.9989	92.1642	-0.165286	-0.11888
60	91.99	91.9805	92.3487	-0.368203	0.00945313
61	92.55	92.7212	92.5625	0.158724	-0.171224
62	92.94	93.001	92.7696	0.23138	-0.0609635
63	92.81	93.1246	92.9508	0.173776	-0.314609
64	93.35	93.7363	93.1325	0.603828	-0.386328
65	93.72	93.8236	93.3529	0.470703	-0.10362
66	93.94	93.7886	93.595	0.19362	0.15138
67	94.03	93.7723	93.8179	-0.045651	0.257734
68	93.66	93.5895	94.0446	-0.455078	0.0704948
69	93.78	93.8447	94.2983	-0.45362	-0.0647135
70	94.1	94.1946	94.5388	-0.344193	-0.0945573
71	94.85	94.5897	94.755	-0.165286	0.260286
72	94.83	94.5872	94.9554	-0.368203	0.242786
73	95.06	95.2966	95.1379	0.158724	-0.236641
74	95.87	95.5793	95.3479	0.23138	0.290703
75	95.97	95.7663	95.5925	0.173776	0.203724
76	95.96	96.4676	95.8638	0.603828	-0.507578
77	96.3	96.607	96.1362	0.470703	-0.306953
78	96.17	96.5799	96.3862	0.19362	-0.40987
79	96.18	96.6135	96.6592	-0.045651	-0.433516
80	96.55	96.4928	96.9479	-0.455078	0.0571615
81	96.76	96.7872	97.2408	-0.45362	-0.0272135
82	97.63	97.2287	97.5729	-0.344193	0.401276
83	97.86	97.7764	97.9417	-0.165286	0.0836198
84	97.82	97.966	98.3342	-0.368203	-0.145964
85	98.62	98.8712	98.7125	0.158724	-0.251224
86	99.24	99.2635	99.0321	0.23138	-0.0234635
87	99.63	99.4842	99.3104	0.173776	0.145807
88	100.27	100.145	99.5408	0.603828	0.125339
89	100.84	100.197	99.7267	0.470703	0.64263
90	101.05	100.102	99.9083	0.19362	0.948047
91	100.38	100.034	100.08	-0.045651	0.346068
92	100.02	99.747	100.202	-0.455078	0.272995
93	99.97	99.8168	100.27	-0.45362	0.153203
94	99.95	99.9933	100.337	-0.344193	-0.0433073
95	100	100.192	100.357	-0.165286	-0.191797
96	100.04	99.933	100.301	-0.368203	0.106953
97	100.51	100.427	100.269	0.158724	0.082526
98	100.29	100.471	100.239	0.23138	-0.180547
99	100.22	100.338	100.165	0.173776	-0.118359
100	101.29	100.674	100.07	0.603828	0.615755
101	100.29	100.455	99.9842	0.470703	-0.16487
102	100.26	100.109	99.9158	0.19362	0.150547
103	100.39	NA	NA	-0.045651	NA
104	99.3	NA	NA	-0.455078	NA
105	98.9	NA	NA	-0.45362	NA
106	98.76	NA	NA	-0.344193	NA
107	99.12	NA	NA	-0.165286	NA
108	99.28	NA	NA	-0.368203	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 79.55 & NA & NA & 0.158724 & NA \tabularnewline
2 & 80.08 & NA & NA & 0.23138 & NA \tabularnewline
3 & 80.15 & NA & NA & 0.173776 & NA \tabularnewline
4 & 80.69 & NA & NA & 0.603828 & NA \tabularnewline
5 & 81.56 & NA & NA & 0.470703 & NA \tabularnewline
6 & 81.23 & NA & NA & 0.19362 & NA \tabularnewline
7 & 81.39 & 81.4093 & 81.455 & -0.045651 & -0.019349 \tabularnewline
8 & 81.61 & 81.2778 & 81.7329 & -0.455078 & 0.332161 \tabularnewline
9 & 82.25 & 81.5339 & 81.9875 & -0.45362 & 0.71612 \tabularnewline
10 & 82.06 & 81.9183 & 82.2625 & -0.344193 & 0.141693 \tabularnewline
11 & 82.82 & 82.3339 & 82.4992 & -0.165286 & 0.48612 \tabularnewline
12 & 82.3 & 82.3218 & 82.69 & -0.368203 & -0.0217969 \tabularnewline
13 & 83.09 & 83.0666 & 82.9079 & 0.158724 & 0.0233594 \tabularnewline
14 & 83.21 & 83.3397 & 83.1083 & 0.23138 & -0.129714 \tabularnewline
15 & 83.13 & 83.4509 & 83.2771 & 0.173776 & -0.320859 \tabularnewline
16 & 84.31 & 84.0901 & 83.4862 & 0.603828 & 0.219922 \tabularnewline
17 & 83.62 & 84.224 & 83.7533 & 0.470703 & -0.604036 \tabularnewline
18 & 83.75 & 84.2674 & 84.0737 & 0.19362 & -0.51737 \tabularnewline
19 & 84.1 & 84.3906 & 84.4362 & -0.045651 & -0.290599 \tabularnewline
20 & 83.71 & 84.3462 & 84.8012 & -0.455078 & -0.636172 \tabularnewline
21 & 84.2 & 84.7355 & 85.1892 & -0.45362 & -0.535547 \tabularnewline
22 & 85.13 & 85.2487 & 85.5929 & -0.344193 & -0.118724 \tabularnewline
23 & 86.16 & 85.8797 & 86.045 & -0.165286 & 0.280286 \tabularnewline
24 & 86.65 & 86.1676 & 86.5358 & -0.368203 & 0.48237 \tabularnewline
25 & 87.44 & 87.1841 & 87.0254 & 0.158724 & 0.255859 \tabularnewline
26 & 87.62 & 87.7489 & 87.5175 & 0.23138 & -0.12888 \tabularnewline
27 & 88.03 & 88.1538 & 87.98 & 0.173776 & -0.123776 \tabularnewline
28 & 89.1 & 89.0026 & 88.3987 & 0.603828 & 0.0974219 \tabularnewline
29 & 89.68 & 89.217 & 88.7462 & 0.470703 & 0.463047 \tabularnewline
30 & 89.47 & 89.2215 & 89.0279 & 0.19362 & 0.248464 \tabularnewline
31 & 90.13 & 89.2573 & 89.3029 & -0.045651 & 0.872734 \tabularnewline
32 & 89.49 & 89.1249 & 89.58 & -0.455078 & 0.365078 \tabularnewline
33 & 89.52 & 89.3701 & 89.8238 & -0.45362 & 0.14987 \tabularnewline
34 & 89.86 & 89.6658 & 90.01 & -0.344193 & 0.194193 \tabularnewline
35 & 89.77 & 89.968 & 90.1333 & -0.165286 & -0.198047 \tabularnewline
36 & 89.8 & 89.8385 & 90.2067 & -0.368203 & -0.0384635 \tabularnewline
37 & 90.89 & 90.3737 & 90.215 & 0.158724 & 0.516276 \tabularnewline
38 & 90.82 & 90.4226 & 90.1912 & 0.23138 & 0.39737 \tabularnewline
39 & 90.68 & 90.3454 & 90.1717 & 0.173776 & 0.334557 \tabularnewline
40 & 90.92 & 90.7463 & 90.1425 & 0.603828 & 0.173672 \tabularnewline
41 & 90.82 & 90.5953 & 90.1246 & 0.470703 & 0.224714 \tabularnewline
42 & 90.09 & 90.307 & 90.1133 & 0.19362 & -0.216953 \tabularnewline
43 & 89.71 & 90.0485 & 90.0942 & -0.045651 & -0.338516 \tabularnewline
44 & 89.34 & 89.6337 & 90.0888 & -0.455078 & -0.293672 \tabularnewline
45 & 89.2 & 89.6705 & 90.1242 & -0.45362 & -0.470547 \tabularnewline
46 & 89.48 & 89.8358 & 90.18 & -0.344193 & -0.355807 \tabularnewline
47 & 89.72 & 90.0789 & 90.2442 & -0.165286 & -0.35888 \tabularnewline
48 & 89.58 & 89.9726 & 90.3408 & -0.368203 & -0.39263 \tabularnewline
49 & 90.65 & 90.6262 & 90.4675 & 0.158724 & 0.023776 \tabularnewline
50 & 90.93 & 90.8518 & 90.6204 & 0.23138 & 0.0782031 \tabularnewline
51 & 91.42 & 90.9838 & 90.81 & 0.173776 & 0.436224 \tabularnewline
52 & 91.52 & 91.6155 & 91.0117 & 0.603828 & -0.0954948 \tabularnewline
53 & 91.76 & 91.6682 & 91.1975 & 0.470703 & 0.0917969 \tabularnewline
54 & 91.47 & 91.5815 & 91.3879 & 0.19362 & -0.111536 \tabularnewline
55 & 91.37 & 91.5218 & 91.5675 & -0.045651 & -0.151849 \tabularnewline
56 & 91.35 & 91.2753 & 91.7304 & -0.455078 & 0.0746615 \tabularnewline
57 & 91.74 & 91.4185 & 91.8721 & -0.45362 & 0.321536 \tabularnewline
58 & 91.78 & 91.6621 & 92.0062 & -0.344193 & 0.117943 \tabularnewline
59 & 91.88 & 91.9989 & 92.1642 & -0.165286 & -0.11888 \tabularnewline
60 & 91.99 & 91.9805 & 92.3487 & -0.368203 & 0.00945313 \tabularnewline
61 & 92.55 & 92.7212 & 92.5625 & 0.158724 & -0.171224 \tabularnewline
62 & 92.94 & 93.001 & 92.7696 & 0.23138 & -0.0609635 \tabularnewline
63 & 92.81 & 93.1246 & 92.9508 & 0.173776 & -0.314609 \tabularnewline
64 & 93.35 & 93.7363 & 93.1325 & 0.603828 & -0.386328 \tabularnewline
65 & 93.72 & 93.8236 & 93.3529 & 0.470703 & -0.10362 \tabularnewline
66 & 93.94 & 93.7886 & 93.595 & 0.19362 & 0.15138 \tabularnewline
67 & 94.03 & 93.7723 & 93.8179 & -0.045651 & 0.257734 \tabularnewline
68 & 93.66 & 93.5895 & 94.0446 & -0.455078 & 0.0704948 \tabularnewline
69 & 93.78 & 93.8447 & 94.2983 & -0.45362 & -0.0647135 \tabularnewline
70 & 94.1 & 94.1946 & 94.5388 & -0.344193 & -0.0945573 \tabularnewline
71 & 94.85 & 94.5897 & 94.755 & -0.165286 & 0.260286 \tabularnewline
72 & 94.83 & 94.5872 & 94.9554 & -0.368203 & 0.242786 \tabularnewline
73 & 95.06 & 95.2966 & 95.1379 & 0.158724 & -0.236641 \tabularnewline
74 & 95.87 & 95.5793 & 95.3479 & 0.23138 & 0.290703 \tabularnewline
75 & 95.97 & 95.7663 & 95.5925 & 0.173776 & 0.203724 \tabularnewline
76 & 95.96 & 96.4676 & 95.8638 & 0.603828 & -0.507578 \tabularnewline
77 & 96.3 & 96.607 & 96.1362 & 0.470703 & -0.306953 \tabularnewline
78 & 96.17 & 96.5799 & 96.3862 & 0.19362 & -0.40987 \tabularnewline
79 & 96.18 & 96.6135 & 96.6592 & -0.045651 & -0.433516 \tabularnewline
80 & 96.55 & 96.4928 & 96.9479 & -0.455078 & 0.0571615 \tabularnewline
81 & 96.76 & 96.7872 & 97.2408 & -0.45362 & -0.0272135 \tabularnewline
82 & 97.63 & 97.2287 & 97.5729 & -0.344193 & 0.401276 \tabularnewline
83 & 97.86 & 97.7764 & 97.9417 & -0.165286 & 0.0836198 \tabularnewline
84 & 97.82 & 97.966 & 98.3342 & -0.368203 & -0.145964 \tabularnewline
85 & 98.62 & 98.8712 & 98.7125 & 0.158724 & -0.251224 \tabularnewline
86 & 99.24 & 99.2635 & 99.0321 & 0.23138 & -0.0234635 \tabularnewline
87 & 99.63 & 99.4842 & 99.3104 & 0.173776 & 0.145807 \tabularnewline
88 & 100.27 & 100.145 & 99.5408 & 0.603828 & 0.125339 \tabularnewline
89 & 100.84 & 100.197 & 99.7267 & 0.470703 & 0.64263 \tabularnewline
90 & 101.05 & 100.102 & 99.9083 & 0.19362 & 0.948047 \tabularnewline
91 & 100.38 & 100.034 & 100.08 & -0.045651 & 0.346068 \tabularnewline
92 & 100.02 & 99.747 & 100.202 & -0.455078 & 0.272995 \tabularnewline
93 & 99.97 & 99.8168 & 100.27 & -0.45362 & 0.153203 \tabularnewline
94 & 99.95 & 99.9933 & 100.337 & -0.344193 & -0.0433073 \tabularnewline
95 & 100 & 100.192 & 100.357 & -0.165286 & -0.191797 \tabularnewline
96 & 100.04 & 99.933 & 100.301 & -0.368203 & 0.106953 \tabularnewline
97 & 100.51 & 100.427 & 100.269 & 0.158724 & 0.082526 \tabularnewline
98 & 100.29 & 100.471 & 100.239 & 0.23138 & -0.180547 \tabularnewline
99 & 100.22 & 100.338 & 100.165 & 0.173776 & -0.118359 \tabularnewline
100 & 101.29 & 100.674 & 100.07 & 0.603828 & 0.615755 \tabularnewline
101 & 100.29 & 100.455 & 99.9842 & 0.470703 & -0.16487 \tabularnewline
102 & 100.26 & 100.109 & 99.9158 & 0.19362 & 0.150547 \tabularnewline
103 & 100.39 & NA & NA & -0.045651 & NA \tabularnewline
104 & 99.3 & NA & NA & -0.455078 & NA \tabularnewline
105 & 98.9 & NA & NA & -0.45362 & NA \tabularnewline
106 & 98.76 & NA & NA & -0.344193 & NA \tabularnewline
107 & 99.12 & NA & NA & -0.165286 & NA \tabularnewline
108 & 99.28 & NA & NA & -0.368203 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284149&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]79.55[/C][C]NA[/C][C]NA[/C][C]0.158724[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]80.08[/C][C]NA[/C][C]NA[/C][C]0.23138[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]80.15[/C][C]NA[/C][C]NA[/C][C]0.173776[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]80.69[/C][C]NA[/C][C]NA[/C][C]0.603828[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]81.56[/C][C]NA[/C][C]NA[/C][C]0.470703[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]81.23[/C][C]NA[/C][C]NA[/C][C]0.19362[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]81.39[/C][C]81.4093[/C][C]81.455[/C][C]-0.045651[/C][C]-0.019349[/C][/ROW]
[ROW][C]8[/C][C]81.61[/C][C]81.2778[/C][C]81.7329[/C][C]-0.455078[/C][C]0.332161[/C][/ROW]
[ROW][C]9[/C][C]82.25[/C][C]81.5339[/C][C]81.9875[/C][C]-0.45362[/C][C]0.71612[/C][/ROW]
[ROW][C]10[/C][C]82.06[/C][C]81.9183[/C][C]82.2625[/C][C]-0.344193[/C][C]0.141693[/C][/ROW]
[ROW][C]11[/C][C]82.82[/C][C]82.3339[/C][C]82.4992[/C][C]-0.165286[/C][C]0.48612[/C][/ROW]
[ROW][C]12[/C][C]82.3[/C][C]82.3218[/C][C]82.69[/C][C]-0.368203[/C][C]-0.0217969[/C][/ROW]
[ROW][C]13[/C][C]83.09[/C][C]83.0666[/C][C]82.9079[/C][C]0.158724[/C][C]0.0233594[/C][/ROW]
[ROW][C]14[/C][C]83.21[/C][C]83.3397[/C][C]83.1083[/C][C]0.23138[/C][C]-0.129714[/C][/ROW]
[ROW][C]15[/C][C]83.13[/C][C]83.4509[/C][C]83.2771[/C][C]0.173776[/C][C]-0.320859[/C][/ROW]
[ROW][C]16[/C][C]84.31[/C][C]84.0901[/C][C]83.4862[/C][C]0.603828[/C][C]0.219922[/C][/ROW]
[ROW][C]17[/C][C]83.62[/C][C]84.224[/C][C]83.7533[/C][C]0.470703[/C][C]-0.604036[/C][/ROW]
[ROW][C]18[/C][C]83.75[/C][C]84.2674[/C][C]84.0737[/C][C]0.19362[/C][C]-0.51737[/C][/ROW]
[ROW][C]19[/C][C]84.1[/C][C]84.3906[/C][C]84.4362[/C][C]-0.045651[/C][C]-0.290599[/C][/ROW]
[ROW][C]20[/C][C]83.71[/C][C]84.3462[/C][C]84.8012[/C][C]-0.455078[/C][C]-0.636172[/C][/ROW]
[ROW][C]21[/C][C]84.2[/C][C]84.7355[/C][C]85.1892[/C][C]-0.45362[/C][C]-0.535547[/C][/ROW]
[ROW][C]22[/C][C]85.13[/C][C]85.2487[/C][C]85.5929[/C][C]-0.344193[/C][C]-0.118724[/C][/ROW]
[ROW][C]23[/C][C]86.16[/C][C]85.8797[/C][C]86.045[/C][C]-0.165286[/C][C]0.280286[/C][/ROW]
[ROW][C]24[/C][C]86.65[/C][C]86.1676[/C][C]86.5358[/C][C]-0.368203[/C][C]0.48237[/C][/ROW]
[ROW][C]25[/C][C]87.44[/C][C]87.1841[/C][C]87.0254[/C][C]0.158724[/C][C]0.255859[/C][/ROW]
[ROW][C]26[/C][C]87.62[/C][C]87.7489[/C][C]87.5175[/C][C]0.23138[/C][C]-0.12888[/C][/ROW]
[ROW][C]27[/C][C]88.03[/C][C]88.1538[/C][C]87.98[/C][C]0.173776[/C][C]-0.123776[/C][/ROW]
[ROW][C]28[/C][C]89.1[/C][C]89.0026[/C][C]88.3987[/C][C]0.603828[/C][C]0.0974219[/C][/ROW]
[ROW][C]29[/C][C]89.68[/C][C]89.217[/C][C]88.7462[/C][C]0.470703[/C][C]0.463047[/C][/ROW]
[ROW][C]30[/C][C]89.47[/C][C]89.2215[/C][C]89.0279[/C][C]0.19362[/C][C]0.248464[/C][/ROW]
[ROW][C]31[/C][C]90.13[/C][C]89.2573[/C][C]89.3029[/C][C]-0.045651[/C][C]0.872734[/C][/ROW]
[ROW][C]32[/C][C]89.49[/C][C]89.1249[/C][C]89.58[/C][C]-0.455078[/C][C]0.365078[/C][/ROW]
[ROW][C]33[/C][C]89.52[/C][C]89.3701[/C][C]89.8238[/C][C]-0.45362[/C][C]0.14987[/C][/ROW]
[ROW][C]34[/C][C]89.86[/C][C]89.6658[/C][C]90.01[/C][C]-0.344193[/C][C]0.194193[/C][/ROW]
[ROW][C]35[/C][C]89.77[/C][C]89.968[/C][C]90.1333[/C][C]-0.165286[/C][C]-0.198047[/C][/ROW]
[ROW][C]36[/C][C]89.8[/C][C]89.8385[/C][C]90.2067[/C][C]-0.368203[/C][C]-0.0384635[/C][/ROW]
[ROW][C]37[/C][C]90.89[/C][C]90.3737[/C][C]90.215[/C][C]0.158724[/C][C]0.516276[/C][/ROW]
[ROW][C]38[/C][C]90.82[/C][C]90.4226[/C][C]90.1912[/C][C]0.23138[/C][C]0.39737[/C][/ROW]
[ROW][C]39[/C][C]90.68[/C][C]90.3454[/C][C]90.1717[/C][C]0.173776[/C][C]0.334557[/C][/ROW]
[ROW][C]40[/C][C]90.92[/C][C]90.7463[/C][C]90.1425[/C][C]0.603828[/C][C]0.173672[/C][/ROW]
[ROW][C]41[/C][C]90.82[/C][C]90.5953[/C][C]90.1246[/C][C]0.470703[/C][C]0.224714[/C][/ROW]
[ROW][C]42[/C][C]90.09[/C][C]90.307[/C][C]90.1133[/C][C]0.19362[/C][C]-0.216953[/C][/ROW]
[ROW][C]43[/C][C]89.71[/C][C]90.0485[/C][C]90.0942[/C][C]-0.045651[/C][C]-0.338516[/C][/ROW]
[ROW][C]44[/C][C]89.34[/C][C]89.6337[/C][C]90.0888[/C][C]-0.455078[/C][C]-0.293672[/C][/ROW]
[ROW][C]45[/C][C]89.2[/C][C]89.6705[/C][C]90.1242[/C][C]-0.45362[/C][C]-0.470547[/C][/ROW]
[ROW][C]46[/C][C]89.48[/C][C]89.8358[/C][C]90.18[/C][C]-0.344193[/C][C]-0.355807[/C][/ROW]
[ROW][C]47[/C][C]89.72[/C][C]90.0789[/C][C]90.2442[/C][C]-0.165286[/C][C]-0.35888[/C][/ROW]
[ROW][C]48[/C][C]89.58[/C][C]89.9726[/C][C]90.3408[/C][C]-0.368203[/C][C]-0.39263[/C][/ROW]
[ROW][C]49[/C][C]90.65[/C][C]90.6262[/C][C]90.4675[/C][C]0.158724[/C][C]0.023776[/C][/ROW]
[ROW][C]50[/C][C]90.93[/C][C]90.8518[/C][C]90.6204[/C][C]0.23138[/C][C]0.0782031[/C][/ROW]
[ROW][C]51[/C][C]91.42[/C][C]90.9838[/C][C]90.81[/C][C]0.173776[/C][C]0.436224[/C][/ROW]
[ROW][C]52[/C][C]91.52[/C][C]91.6155[/C][C]91.0117[/C][C]0.603828[/C][C]-0.0954948[/C][/ROW]
[ROW][C]53[/C][C]91.76[/C][C]91.6682[/C][C]91.1975[/C][C]0.470703[/C][C]0.0917969[/C][/ROW]
[ROW][C]54[/C][C]91.47[/C][C]91.5815[/C][C]91.3879[/C][C]0.19362[/C][C]-0.111536[/C][/ROW]
[ROW][C]55[/C][C]91.37[/C][C]91.5218[/C][C]91.5675[/C][C]-0.045651[/C][C]-0.151849[/C][/ROW]
[ROW][C]56[/C][C]91.35[/C][C]91.2753[/C][C]91.7304[/C][C]-0.455078[/C][C]0.0746615[/C][/ROW]
[ROW][C]57[/C][C]91.74[/C][C]91.4185[/C][C]91.8721[/C][C]-0.45362[/C][C]0.321536[/C][/ROW]
[ROW][C]58[/C][C]91.78[/C][C]91.6621[/C][C]92.0062[/C][C]-0.344193[/C][C]0.117943[/C][/ROW]
[ROW][C]59[/C][C]91.88[/C][C]91.9989[/C][C]92.1642[/C][C]-0.165286[/C][C]-0.11888[/C][/ROW]
[ROW][C]60[/C][C]91.99[/C][C]91.9805[/C][C]92.3487[/C][C]-0.368203[/C][C]0.00945313[/C][/ROW]
[ROW][C]61[/C][C]92.55[/C][C]92.7212[/C][C]92.5625[/C][C]0.158724[/C][C]-0.171224[/C][/ROW]
[ROW][C]62[/C][C]92.94[/C][C]93.001[/C][C]92.7696[/C][C]0.23138[/C][C]-0.0609635[/C][/ROW]
[ROW][C]63[/C][C]92.81[/C][C]93.1246[/C][C]92.9508[/C][C]0.173776[/C][C]-0.314609[/C][/ROW]
[ROW][C]64[/C][C]93.35[/C][C]93.7363[/C][C]93.1325[/C][C]0.603828[/C][C]-0.386328[/C][/ROW]
[ROW][C]65[/C][C]93.72[/C][C]93.8236[/C][C]93.3529[/C][C]0.470703[/C][C]-0.10362[/C][/ROW]
[ROW][C]66[/C][C]93.94[/C][C]93.7886[/C][C]93.595[/C][C]0.19362[/C][C]0.15138[/C][/ROW]
[ROW][C]67[/C][C]94.03[/C][C]93.7723[/C][C]93.8179[/C][C]-0.045651[/C][C]0.257734[/C][/ROW]
[ROW][C]68[/C][C]93.66[/C][C]93.5895[/C][C]94.0446[/C][C]-0.455078[/C][C]0.0704948[/C][/ROW]
[ROW][C]69[/C][C]93.78[/C][C]93.8447[/C][C]94.2983[/C][C]-0.45362[/C][C]-0.0647135[/C][/ROW]
[ROW][C]70[/C][C]94.1[/C][C]94.1946[/C][C]94.5388[/C][C]-0.344193[/C][C]-0.0945573[/C][/ROW]
[ROW][C]71[/C][C]94.85[/C][C]94.5897[/C][C]94.755[/C][C]-0.165286[/C][C]0.260286[/C][/ROW]
[ROW][C]72[/C][C]94.83[/C][C]94.5872[/C][C]94.9554[/C][C]-0.368203[/C][C]0.242786[/C][/ROW]
[ROW][C]73[/C][C]95.06[/C][C]95.2966[/C][C]95.1379[/C][C]0.158724[/C][C]-0.236641[/C][/ROW]
[ROW][C]74[/C][C]95.87[/C][C]95.5793[/C][C]95.3479[/C][C]0.23138[/C][C]0.290703[/C][/ROW]
[ROW][C]75[/C][C]95.97[/C][C]95.7663[/C][C]95.5925[/C][C]0.173776[/C][C]0.203724[/C][/ROW]
[ROW][C]76[/C][C]95.96[/C][C]96.4676[/C][C]95.8638[/C][C]0.603828[/C][C]-0.507578[/C][/ROW]
[ROW][C]77[/C][C]96.3[/C][C]96.607[/C][C]96.1362[/C][C]0.470703[/C][C]-0.306953[/C][/ROW]
[ROW][C]78[/C][C]96.17[/C][C]96.5799[/C][C]96.3862[/C][C]0.19362[/C][C]-0.40987[/C][/ROW]
[ROW][C]79[/C][C]96.18[/C][C]96.6135[/C][C]96.6592[/C][C]-0.045651[/C][C]-0.433516[/C][/ROW]
[ROW][C]80[/C][C]96.55[/C][C]96.4928[/C][C]96.9479[/C][C]-0.455078[/C][C]0.0571615[/C][/ROW]
[ROW][C]81[/C][C]96.76[/C][C]96.7872[/C][C]97.2408[/C][C]-0.45362[/C][C]-0.0272135[/C][/ROW]
[ROW][C]82[/C][C]97.63[/C][C]97.2287[/C][C]97.5729[/C][C]-0.344193[/C][C]0.401276[/C][/ROW]
[ROW][C]83[/C][C]97.86[/C][C]97.7764[/C][C]97.9417[/C][C]-0.165286[/C][C]0.0836198[/C][/ROW]
[ROW][C]84[/C][C]97.82[/C][C]97.966[/C][C]98.3342[/C][C]-0.368203[/C][C]-0.145964[/C][/ROW]
[ROW][C]85[/C][C]98.62[/C][C]98.8712[/C][C]98.7125[/C][C]0.158724[/C][C]-0.251224[/C][/ROW]
[ROW][C]86[/C][C]99.24[/C][C]99.2635[/C][C]99.0321[/C][C]0.23138[/C][C]-0.0234635[/C][/ROW]
[ROW][C]87[/C][C]99.63[/C][C]99.4842[/C][C]99.3104[/C][C]0.173776[/C][C]0.145807[/C][/ROW]
[ROW][C]88[/C][C]100.27[/C][C]100.145[/C][C]99.5408[/C][C]0.603828[/C][C]0.125339[/C][/ROW]
[ROW][C]89[/C][C]100.84[/C][C]100.197[/C][C]99.7267[/C][C]0.470703[/C][C]0.64263[/C][/ROW]
[ROW][C]90[/C][C]101.05[/C][C]100.102[/C][C]99.9083[/C][C]0.19362[/C][C]0.948047[/C][/ROW]
[ROW][C]91[/C][C]100.38[/C][C]100.034[/C][C]100.08[/C][C]-0.045651[/C][C]0.346068[/C][/ROW]
[ROW][C]92[/C][C]100.02[/C][C]99.747[/C][C]100.202[/C][C]-0.455078[/C][C]0.272995[/C][/ROW]
[ROW][C]93[/C][C]99.97[/C][C]99.8168[/C][C]100.27[/C][C]-0.45362[/C][C]0.153203[/C][/ROW]
[ROW][C]94[/C][C]99.95[/C][C]99.9933[/C][C]100.337[/C][C]-0.344193[/C][C]-0.0433073[/C][/ROW]
[ROW][C]95[/C][C]100[/C][C]100.192[/C][C]100.357[/C][C]-0.165286[/C][C]-0.191797[/C][/ROW]
[ROW][C]96[/C][C]100.04[/C][C]99.933[/C][C]100.301[/C][C]-0.368203[/C][C]0.106953[/C][/ROW]
[ROW][C]97[/C][C]100.51[/C][C]100.427[/C][C]100.269[/C][C]0.158724[/C][C]0.082526[/C][/ROW]
[ROW][C]98[/C][C]100.29[/C][C]100.471[/C][C]100.239[/C][C]0.23138[/C][C]-0.180547[/C][/ROW]
[ROW][C]99[/C][C]100.22[/C][C]100.338[/C][C]100.165[/C][C]0.173776[/C][C]-0.118359[/C][/ROW]
[ROW][C]100[/C][C]101.29[/C][C]100.674[/C][C]100.07[/C][C]0.603828[/C][C]0.615755[/C][/ROW]
[ROW][C]101[/C][C]100.29[/C][C]100.455[/C][C]99.9842[/C][C]0.470703[/C][C]-0.16487[/C][/ROW]
[ROW][C]102[/C][C]100.26[/C][C]100.109[/C][C]99.9158[/C][C]0.19362[/C][C]0.150547[/C][/ROW]
[ROW][C]103[/C][C]100.39[/C][C]NA[/C][C]NA[/C][C]-0.045651[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]99.3[/C][C]NA[/C][C]NA[/C][C]-0.455078[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]98.9[/C][C]NA[/C][C]NA[/C][C]-0.45362[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]98.76[/C][C]NA[/C][C]NA[/C][C]-0.344193[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]99.12[/C][C]NA[/C][C]NA[/C][C]-0.165286[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]99.28[/C][C]NA[/C][C]NA[/C][C]-0.368203[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284149&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284149&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	79.55	NA	NA	0.158724	NA
2	80.08	NA	NA	0.23138	NA
3	80.15	NA	NA	0.173776	NA
4	80.69	NA	NA	0.603828	NA
5	81.56	NA	NA	0.470703	NA
6	81.23	NA	NA	0.19362	NA
7	81.39	81.4093	81.455	-0.045651	-0.019349
8	81.61	81.2778	81.7329	-0.455078	0.332161
9	82.25	81.5339	81.9875	-0.45362	0.71612
10	82.06	81.9183	82.2625	-0.344193	0.141693
11	82.82	82.3339	82.4992	-0.165286	0.48612
12	82.3	82.3218	82.69	-0.368203	-0.0217969
13	83.09	83.0666	82.9079	0.158724	0.0233594
14	83.21	83.3397	83.1083	0.23138	-0.129714
15	83.13	83.4509	83.2771	0.173776	-0.320859
16	84.31	84.0901	83.4862	0.603828	0.219922
17	83.62	84.224	83.7533	0.470703	-0.604036
18	83.75	84.2674	84.0737	0.19362	-0.51737
19	84.1	84.3906	84.4362	-0.045651	-0.290599
20	83.71	84.3462	84.8012	-0.455078	-0.636172
21	84.2	84.7355	85.1892	-0.45362	-0.535547
22	85.13	85.2487	85.5929	-0.344193	-0.118724
23	86.16	85.8797	86.045	-0.165286	0.280286
24	86.65	86.1676	86.5358	-0.368203	0.48237
25	87.44	87.1841	87.0254	0.158724	0.255859
26	87.62	87.7489	87.5175	0.23138	-0.12888
27	88.03	88.1538	87.98	0.173776	-0.123776
28	89.1	89.0026	88.3987	0.603828	0.0974219
29	89.68	89.217	88.7462	0.470703	0.463047
30	89.47	89.2215	89.0279	0.19362	0.248464
31	90.13	89.2573	89.3029	-0.045651	0.872734
32	89.49	89.1249	89.58	-0.455078	0.365078
33	89.52	89.3701	89.8238	-0.45362	0.14987
34	89.86	89.6658	90.01	-0.344193	0.194193
35	89.77	89.968	90.1333	-0.165286	-0.198047
36	89.8	89.8385	90.2067	-0.368203	-0.0384635
37	90.89	90.3737	90.215	0.158724	0.516276
38	90.82	90.4226	90.1912	0.23138	0.39737
39	90.68	90.3454	90.1717	0.173776	0.334557
40	90.92	90.7463	90.1425	0.603828	0.173672
41	90.82	90.5953	90.1246	0.470703	0.224714
42	90.09	90.307	90.1133	0.19362	-0.216953
43	89.71	90.0485	90.0942	-0.045651	-0.338516
44	89.34	89.6337	90.0888	-0.455078	-0.293672
45	89.2	89.6705	90.1242	-0.45362	-0.470547
46	89.48	89.8358	90.18	-0.344193	-0.355807
47	89.72	90.0789	90.2442	-0.165286	-0.35888
48	89.58	89.9726	90.3408	-0.368203	-0.39263
49	90.65	90.6262	90.4675	0.158724	0.023776
50	90.93	90.8518	90.6204	0.23138	0.0782031
51	91.42	90.9838	90.81	0.173776	0.436224
52	91.52	91.6155	91.0117	0.603828	-0.0954948
53	91.76	91.6682	91.1975	0.470703	0.0917969
54	91.47	91.5815	91.3879	0.19362	-0.111536
55	91.37	91.5218	91.5675	-0.045651	-0.151849
56	91.35	91.2753	91.7304	-0.455078	0.0746615
57	91.74	91.4185	91.8721	-0.45362	0.321536
58	91.78	91.6621	92.0062	-0.344193	0.117943
59	91.88	91.9989	92.1642	-0.165286	-0.11888
60	91.99	91.9805	92.3487	-0.368203	0.00945313
61	92.55	92.7212	92.5625	0.158724	-0.171224
62	92.94	93.001	92.7696	0.23138	-0.0609635
63	92.81	93.1246	92.9508	0.173776	-0.314609
64	93.35	93.7363	93.1325	0.603828	-0.386328
65	93.72	93.8236	93.3529	0.470703	-0.10362
66	93.94	93.7886	93.595	0.19362	0.15138
67	94.03	93.7723	93.8179	-0.045651	0.257734
68	93.66	93.5895	94.0446	-0.455078	0.0704948
69	93.78	93.8447	94.2983	-0.45362	-0.0647135
70	94.1	94.1946	94.5388	-0.344193	-0.0945573
71	94.85	94.5897	94.755	-0.165286	0.260286
72	94.83	94.5872	94.9554	-0.368203	0.242786
73	95.06	95.2966	95.1379	0.158724	-0.236641
74	95.87	95.5793	95.3479	0.23138	0.290703
75	95.97	95.7663	95.5925	0.173776	0.203724
76	95.96	96.4676	95.8638	0.603828	-0.507578
77	96.3	96.607	96.1362	0.470703	-0.306953
78	96.17	96.5799	96.3862	0.19362	-0.40987
79	96.18	96.6135	96.6592	-0.045651	-0.433516
80	96.55	96.4928	96.9479	-0.455078	0.0571615
81	96.76	96.7872	97.2408	-0.45362	-0.0272135
82	97.63	97.2287	97.5729	-0.344193	0.401276
83	97.86	97.7764	97.9417	-0.165286	0.0836198
84	97.82	97.966	98.3342	-0.368203	-0.145964
85	98.62	98.8712	98.7125	0.158724	-0.251224
86	99.24	99.2635	99.0321	0.23138	-0.0234635
87	99.63	99.4842	99.3104	0.173776	0.145807
88	100.27	100.145	99.5408	0.603828	0.125339
89	100.84	100.197	99.7267	0.470703	0.64263
90	101.05	100.102	99.9083	0.19362	0.948047
91	100.38	100.034	100.08	-0.045651	0.346068
92	100.02	99.747	100.202	-0.455078	0.272995
93	99.97	99.8168	100.27	-0.45362	0.153203
94	99.95	99.9933	100.337	-0.344193	-0.0433073
95	100	100.192	100.357	-0.165286	-0.191797
96	100.04	99.933	100.301	-0.368203	0.106953
97	100.51	100.427	100.269	0.158724	0.082526
98	100.29	100.471	100.239	0.23138	-0.180547
99	100.22	100.338	100.165	0.173776	-0.118359
100	101.29	100.674	100.07	0.603828	0.615755
101	100.29	100.455	99.9842	0.470703	-0.16487
102	100.26	100.109	99.9158	0.19362	0.150547
103	100.39	NA	NA	-0.045651	NA
104	99.3	NA	NA	-0.455078	NA
105	98.9	NA	NA	-0.45362	NA
106	98.76	NA	NA	-0.344193	NA
107	99.12	NA	NA	-0.165286	NA
108	99.28	NA	NA	-0.368203	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 <- 'additive'
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