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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Sat, 28 Nov 2015 16:28:49 +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/28/t1448728178i5m1r19n9oqdqy2.htm/, Retrieved Tue, 14 May 2024 16:01:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284381, Retrieved Tue, 14 May 2024 16:01:31 +0000

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-       [Classical Decomposition] [] [2015-11-28 16:28:49] [9337274ae6f8d164202b783ce953e57d] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284381&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284381&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284381&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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	80.44	NA	NA	-0.76822	NA
2	80.9	NA	NA	-0.375356	NA
3	81.03	NA	NA	-0.313273	NA
4	81.6	NA	NA	-0.0383247	NA
5	81.56	NA	NA	-0.216293	NA
6	82.08	NA	NA	-0.0453559	NA
7	83.44	83.5947	82.1329	1.46178	-0.154696
8	83.55	83.5289	82.3162	1.21261	0.0211372
9	82.63	82.4672	82.5125	-0.0453038	0.162804
10	82.43	82.5734	82.7067	-0.13322	-0.143446
11	82.42	82.3874	82.9017	-0.514314	0.0326476
12	82.48	82.8703	83.095	-0.224731	-0.390269
13	82.51	82.5193	83.2875	-0.76822	-0.00927951
14	83.23	83.1017	83.4771	-0.375356	0.128273
15	83.41	83.3263	83.6396	-0.313273	0.0836892
16	83.88	83.7538	83.7921	-0.0383247	0.126241
17	83.96	83.737	83.9533	-0.216293	0.22296
18	84.32	84.0971	84.1425	-0.0453559	0.222856
19	85.82	85.8143	84.3525	1.46178	0.00572049
20	85.72	85.7664	84.5537	1.21261	-0.0463628
21	84.36	84.7251	84.7704	-0.0453038	-0.365113
22	84.36	84.8593	84.9925	-0.13322	-0.49928
23	84.36	84.6978	85.2121	-0.514314	-0.337769
24	85.08	85.2349	85.4596	-0.224731	-0.154852
25	84.95	84.9659	85.7342	-0.76822	-0.0159462
26	85.62	85.6551	86.0304	-0.375356	-0.0350608
27	86.22	86.0334	86.3467	-0.313273	0.186606
28	86.4	86.6592	86.6975	-0.0383247	-0.259175
29	86.71	86.8545	87.0708	-0.216293	-0.14454
30	87.51	87.3834	87.4288	-0.0453559	0.126606
31	89.22	89.2247	87.7629	1.46178	-0.00469618
32	89.43	89.2959	88.0833	1.21261	0.134054
33	88.24	88.3414	88.3867	-0.0453038	-0.101363
34	88.9	88.5589	88.6921	-0.13322	0.341137
35	88.78	88.4803	88.9946	-0.514314	0.299731
36	89.25	89.0315	89.2562	-0.224731	0.218481
37	88.8	88.7309	89.4992	-0.76822	0.0690538
38	89.46	89.3563	89.7317	-0.375356	0.103689
39	89.66	89.6588	89.9721	-0.313273	0.00118924
40	90.29	90.16	90.1983	-0.0383247	0.129991
41	90.08	90.1708	90.3871	-0.216293	-0.0907899
42	90.42	90.5267	90.5721	-0.0453559	-0.106727
43	92.14	92.2176	90.7558	1.46178	-0.0776128
44	92.09	92.1451	90.9325	1.21261	-0.0551128
45	91.35	91.0547	91.1	-0.0453038	0.295304
46	91.22	91.1247	91.2579	-0.13322	0.0953038
47	90.99	90.9107	91.425	-0.514314	0.0793142
48	91.48	91.3644	91.5892	-0.224731	0.115564
49	90.98	90.9768	91.745	-0.76822	0.00322049
50	91.52	91.5242	91.8996	-0.375356	-0.00422743
51	91.62	91.7355	92.0488	-0.313273	-0.115477
52	92.12	92.1758	92.2142	-0.0383247	-0.055842
53	92.26	92.1745	92.3908	-0.216293	0.0854601
54	92.18	92.5234	92.5688	-0.0453559	-0.343394
55	94.12	94.2164	92.7546	1.46178	-0.0963628
56	93.82	94.1539	92.9412	1.21261	-0.333863
57	93.2	93.0934	93.1388	-0.0453038	0.106554
58	93.34	93.2251	93.3583	-0.13322	0.114887
59	93.11	93.0507	93.565	-0.514314	0.0593142
60	93.63	93.5494	93.7742	-0.224731	0.0805642
61	93.29	93.2355	94.0038	-0.76822	0.0544705
62	93.69	93.8588	94.2342	-0.375356	-0.168811
63	94.19	94.1296	94.4429	-0.313273	0.0603559
64	94.82	94.59	94.6283	-0.0383247	0.229991
65	94.52	94.5987	94.815	-0.216293	-0.0787066
66	94.94	94.9626	95.0079	-0.0453559	-0.0225608
67	96.87	96.6647	95.2029	1.46178	0.205304
68	96.6	96.6151	95.4025	1.21261	-0.0151128
69	95.43	95.5468	95.5921	-0.0453038	-0.11678
70	95.56	95.6443	95.7775	-0.13322	-0.0842795
71	95.37	95.4753	95.9896	-0.514314	-0.105269
72	96	95.9944	96.2192	-0.224731	0.00556424
73	95.6	95.6718	96.44	-0.76822	-0.0717795
74	96.17	96.2842	96.6596	-0.375356	-0.114227
75	96.26	96.578	96.8913	-0.313273	-0.317977
76	97.2	97.0821	97.1204	-0.0383247	0.117908
77	97.23	97.1258	97.3421	-0.216293	0.10421
78	97.74	97.5109	97.5562	-0.0453559	0.229106
79	99.37	99.2226	97.7608	1.46178	0.147387
80	99.37	99.1751	97.9625	1.21261	0.194887
81	98.22	98.123	98.1683	-0.0453038	0.0969705
82	98.27	98.2289	98.3621	-0.13322	0.0411372
83	97.98	98.0332	98.5475	-0.514314	-0.0531858
84	98.53	98.4978	98.7225	-0.224731	0.0322309
85	97.98	98.128	98.8962	-0.76822	-0.14803
86	98.63	98.7121	99.0875	-0.375356	-0.0821441
87	98.74	98.9663	99.2796	-0.313273	-0.226311
88	99.37	99.4417	99.48	-0.0383247	-0.0716753
89	99.51	99.4737	99.69	-0.216293	0.0362934
90	99.66	99.8521	99.8975	-0.0453559	-0.192144
91	101.62	101.573	100.111	1.46178	0.0473872
92	101.71	101.537	100.325	1.21261	0.172804
93	100.49	100.496	100.541	-0.0453038	-0.00594618
94	100.81	100.603	100.736	-0.13322	0.20697
95	100.48	100.382	100.897	-0.514314	0.0976476
96	101.01	100.845	101.07	-0.224731	0.165148
97	100.62	100.429	101.197	-0.76822	0.19072
98	101.12	100.875	101.25	-0.375356	0.244939
99	101.45	101.05	101.363	-0.313273	0.400356
100	101.34	101.485	101.523	-0.0383247	-0.145009
101	101.39	101.452	101.669	-0.216293	-0.0624566
102	101.93	101.771	101.817	-0.0453559	0.158689
103	102.42	NA	NA	1.46178	NA
104	102.18	NA	NA	1.21261	NA
105	102.72	NA	NA	-0.0453038	NA
106	102.43	NA	NA	-0.13322	NA
107	102.35	NA	NA	-0.514314	NA
108	102.69	NA	NA	-0.224731	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 80.44 & NA & NA & -0.76822 & NA \tabularnewline
2 & 80.9 & NA & NA & -0.375356 & NA \tabularnewline
3 & 81.03 & NA & NA & -0.313273 & NA \tabularnewline
4 & 81.6 & NA & NA & -0.0383247 & NA \tabularnewline
5 & 81.56 & NA & NA & -0.216293 & NA \tabularnewline
6 & 82.08 & NA & NA & -0.0453559 & NA \tabularnewline
7 & 83.44 & 83.5947 & 82.1329 & 1.46178 & -0.154696 \tabularnewline
8 & 83.55 & 83.5289 & 82.3162 & 1.21261 & 0.0211372 \tabularnewline
9 & 82.63 & 82.4672 & 82.5125 & -0.0453038 & 0.162804 \tabularnewline
10 & 82.43 & 82.5734 & 82.7067 & -0.13322 & -0.143446 \tabularnewline
11 & 82.42 & 82.3874 & 82.9017 & -0.514314 & 0.0326476 \tabularnewline
12 & 82.48 & 82.8703 & 83.095 & -0.224731 & -0.390269 \tabularnewline
13 & 82.51 & 82.5193 & 83.2875 & -0.76822 & -0.00927951 \tabularnewline
14 & 83.23 & 83.1017 & 83.4771 & -0.375356 & 0.128273 \tabularnewline
15 & 83.41 & 83.3263 & 83.6396 & -0.313273 & 0.0836892 \tabularnewline
16 & 83.88 & 83.7538 & 83.7921 & -0.0383247 & 0.126241 \tabularnewline
17 & 83.96 & 83.737 & 83.9533 & -0.216293 & 0.22296 \tabularnewline
18 & 84.32 & 84.0971 & 84.1425 & -0.0453559 & 0.222856 \tabularnewline
19 & 85.82 & 85.8143 & 84.3525 & 1.46178 & 0.00572049 \tabularnewline
20 & 85.72 & 85.7664 & 84.5537 & 1.21261 & -0.0463628 \tabularnewline
21 & 84.36 & 84.7251 & 84.7704 & -0.0453038 & -0.365113 \tabularnewline
22 & 84.36 & 84.8593 & 84.9925 & -0.13322 & -0.49928 \tabularnewline
23 & 84.36 & 84.6978 & 85.2121 & -0.514314 & -0.337769 \tabularnewline
24 & 85.08 & 85.2349 & 85.4596 & -0.224731 & -0.154852 \tabularnewline
25 & 84.95 & 84.9659 & 85.7342 & -0.76822 & -0.0159462 \tabularnewline
26 & 85.62 & 85.6551 & 86.0304 & -0.375356 & -0.0350608 \tabularnewline
27 & 86.22 & 86.0334 & 86.3467 & -0.313273 & 0.186606 \tabularnewline
28 & 86.4 & 86.6592 & 86.6975 & -0.0383247 & -0.259175 \tabularnewline
29 & 86.71 & 86.8545 & 87.0708 & -0.216293 & -0.14454 \tabularnewline
30 & 87.51 & 87.3834 & 87.4288 & -0.0453559 & 0.126606 \tabularnewline
31 & 89.22 & 89.2247 & 87.7629 & 1.46178 & -0.00469618 \tabularnewline
32 & 89.43 & 89.2959 & 88.0833 & 1.21261 & 0.134054 \tabularnewline
33 & 88.24 & 88.3414 & 88.3867 & -0.0453038 & -0.101363 \tabularnewline
34 & 88.9 & 88.5589 & 88.6921 & -0.13322 & 0.341137 \tabularnewline
35 & 88.78 & 88.4803 & 88.9946 & -0.514314 & 0.299731 \tabularnewline
36 & 89.25 & 89.0315 & 89.2562 & -0.224731 & 0.218481 \tabularnewline
37 & 88.8 & 88.7309 & 89.4992 & -0.76822 & 0.0690538 \tabularnewline
38 & 89.46 & 89.3563 & 89.7317 & -0.375356 & 0.103689 \tabularnewline
39 & 89.66 & 89.6588 & 89.9721 & -0.313273 & 0.00118924 \tabularnewline
40 & 90.29 & 90.16 & 90.1983 & -0.0383247 & 0.129991 \tabularnewline
41 & 90.08 & 90.1708 & 90.3871 & -0.216293 & -0.0907899 \tabularnewline
42 & 90.42 & 90.5267 & 90.5721 & -0.0453559 & -0.106727 \tabularnewline
43 & 92.14 & 92.2176 & 90.7558 & 1.46178 & -0.0776128 \tabularnewline
44 & 92.09 & 92.1451 & 90.9325 & 1.21261 & -0.0551128 \tabularnewline
45 & 91.35 & 91.0547 & 91.1 & -0.0453038 & 0.295304 \tabularnewline
46 & 91.22 & 91.1247 & 91.2579 & -0.13322 & 0.0953038 \tabularnewline
47 & 90.99 & 90.9107 & 91.425 & -0.514314 & 0.0793142 \tabularnewline
48 & 91.48 & 91.3644 & 91.5892 & -0.224731 & 0.115564 \tabularnewline
49 & 90.98 & 90.9768 & 91.745 & -0.76822 & 0.00322049 \tabularnewline
50 & 91.52 & 91.5242 & 91.8996 & -0.375356 & -0.00422743 \tabularnewline
51 & 91.62 & 91.7355 & 92.0488 & -0.313273 & -0.115477 \tabularnewline
52 & 92.12 & 92.1758 & 92.2142 & -0.0383247 & -0.055842 \tabularnewline
53 & 92.26 & 92.1745 & 92.3908 & -0.216293 & 0.0854601 \tabularnewline
54 & 92.18 & 92.5234 & 92.5688 & -0.0453559 & -0.343394 \tabularnewline
55 & 94.12 & 94.2164 & 92.7546 & 1.46178 & -0.0963628 \tabularnewline
56 & 93.82 & 94.1539 & 92.9412 & 1.21261 & -0.333863 \tabularnewline
57 & 93.2 & 93.0934 & 93.1388 & -0.0453038 & 0.106554 \tabularnewline
58 & 93.34 & 93.2251 & 93.3583 & -0.13322 & 0.114887 \tabularnewline
59 & 93.11 & 93.0507 & 93.565 & -0.514314 & 0.0593142 \tabularnewline
60 & 93.63 & 93.5494 & 93.7742 & -0.224731 & 0.0805642 \tabularnewline
61 & 93.29 & 93.2355 & 94.0038 & -0.76822 & 0.0544705 \tabularnewline
62 & 93.69 & 93.8588 & 94.2342 & -0.375356 & -0.168811 \tabularnewline
63 & 94.19 & 94.1296 & 94.4429 & -0.313273 & 0.0603559 \tabularnewline
64 & 94.82 & 94.59 & 94.6283 & -0.0383247 & 0.229991 \tabularnewline
65 & 94.52 & 94.5987 & 94.815 & -0.216293 & -0.0787066 \tabularnewline
66 & 94.94 & 94.9626 & 95.0079 & -0.0453559 & -0.0225608 \tabularnewline
67 & 96.87 & 96.6647 & 95.2029 & 1.46178 & 0.205304 \tabularnewline
68 & 96.6 & 96.6151 & 95.4025 & 1.21261 & -0.0151128 \tabularnewline
69 & 95.43 & 95.5468 & 95.5921 & -0.0453038 & -0.11678 \tabularnewline
70 & 95.56 & 95.6443 & 95.7775 & -0.13322 & -0.0842795 \tabularnewline
71 & 95.37 & 95.4753 & 95.9896 & -0.514314 & -0.105269 \tabularnewline
72 & 96 & 95.9944 & 96.2192 & -0.224731 & 0.00556424 \tabularnewline
73 & 95.6 & 95.6718 & 96.44 & -0.76822 & -0.0717795 \tabularnewline
74 & 96.17 & 96.2842 & 96.6596 & -0.375356 & -0.114227 \tabularnewline
75 & 96.26 & 96.578 & 96.8913 & -0.313273 & -0.317977 \tabularnewline
76 & 97.2 & 97.0821 & 97.1204 & -0.0383247 & 0.117908 \tabularnewline
77 & 97.23 & 97.1258 & 97.3421 & -0.216293 & 0.10421 \tabularnewline
78 & 97.74 & 97.5109 & 97.5562 & -0.0453559 & 0.229106 \tabularnewline
79 & 99.37 & 99.2226 & 97.7608 & 1.46178 & 0.147387 \tabularnewline
80 & 99.37 & 99.1751 & 97.9625 & 1.21261 & 0.194887 \tabularnewline
81 & 98.22 & 98.123 & 98.1683 & -0.0453038 & 0.0969705 \tabularnewline
82 & 98.27 & 98.2289 & 98.3621 & -0.13322 & 0.0411372 \tabularnewline
83 & 97.98 & 98.0332 & 98.5475 & -0.514314 & -0.0531858 \tabularnewline
84 & 98.53 & 98.4978 & 98.7225 & -0.224731 & 0.0322309 \tabularnewline
85 & 97.98 & 98.128 & 98.8962 & -0.76822 & -0.14803 \tabularnewline
86 & 98.63 & 98.7121 & 99.0875 & -0.375356 & -0.0821441 \tabularnewline
87 & 98.74 & 98.9663 & 99.2796 & -0.313273 & -0.226311 \tabularnewline
88 & 99.37 & 99.4417 & 99.48 & -0.0383247 & -0.0716753 \tabularnewline
89 & 99.51 & 99.4737 & 99.69 & -0.216293 & 0.0362934 \tabularnewline
90 & 99.66 & 99.8521 & 99.8975 & -0.0453559 & -0.192144 \tabularnewline
91 & 101.62 & 101.573 & 100.111 & 1.46178 & 0.0473872 \tabularnewline
92 & 101.71 & 101.537 & 100.325 & 1.21261 & 0.172804 \tabularnewline
93 & 100.49 & 100.496 & 100.541 & -0.0453038 & -0.00594618 \tabularnewline
94 & 100.81 & 100.603 & 100.736 & -0.13322 & 0.20697 \tabularnewline
95 & 100.48 & 100.382 & 100.897 & -0.514314 & 0.0976476 \tabularnewline
96 & 101.01 & 100.845 & 101.07 & -0.224731 & 0.165148 \tabularnewline
97 & 100.62 & 100.429 & 101.197 & -0.76822 & 0.19072 \tabularnewline
98 & 101.12 & 100.875 & 101.25 & -0.375356 & 0.244939 \tabularnewline
99 & 101.45 & 101.05 & 101.363 & -0.313273 & 0.400356 \tabularnewline
100 & 101.34 & 101.485 & 101.523 & -0.0383247 & -0.145009 \tabularnewline
101 & 101.39 & 101.452 & 101.669 & -0.216293 & -0.0624566 \tabularnewline
102 & 101.93 & 101.771 & 101.817 & -0.0453559 & 0.158689 \tabularnewline
103 & 102.42 & NA & NA & 1.46178 & NA \tabularnewline
104 & 102.18 & NA & NA & 1.21261 & NA \tabularnewline
105 & 102.72 & NA & NA & -0.0453038 & NA \tabularnewline
106 & 102.43 & NA & NA & -0.13322 & NA \tabularnewline
107 & 102.35 & NA & NA & -0.514314 & NA \tabularnewline
108 & 102.69 & NA & NA & -0.224731 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284381&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]80.44[/C][C]NA[/C][C]NA[/C][C]-0.76822[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]80.9[/C][C]NA[/C][C]NA[/C][C]-0.375356[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]81.03[/C][C]NA[/C][C]NA[/C][C]-0.313273[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]81.6[/C][C]NA[/C][C]NA[/C][C]-0.0383247[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]81.56[/C][C]NA[/C][C]NA[/C][C]-0.216293[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]82.08[/C][C]NA[/C][C]NA[/C][C]-0.0453559[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]83.44[/C][C]83.5947[/C][C]82.1329[/C][C]1.46178[/C][C]-0.154696[/C][/ROW]
[ROW][C]8[/C][C]83.55[/C][C]83.5289[/C][C]82.3162[/C][C]1.21261[/C][C]0.0211372[/C][/ROW]
[ROW][C]9[/C][C]82.63[/C][C]82.4672[/C][C]82.5125[/C][C]-0.0453038[/C][C]0.162804[/C][/ROW]
[ROW][C]10[/C][C]82.43[/C][C]82.5734[/C][C]82.7067[/C][C]-0.13322[/C][C]-0.143446[/C][/ROW]
[ROW][C]11[/C][C]82.42[/C][C]82.3874[/C][C]82.9017[/C][C]-0.514314[/C][C]0.0326476[/C][/ROW]
[ROW][C]12[/C][C]82.48[/C][C]82.8703[/C][C]83.095[/C][C]-0.224731[/C][C]-0.390269[/C][/ROW]
[ROW][C]13[/C][C]82.51[/C][C]82.5193[/C][C]83.2875[/C][C]-0.76822[/C][C]-0.00927951[/C][/ROW]
[ROW][C]14[/C][C]83.23[/C][C]83.1017[/C][C]83.4771[/C][C]-0.375356[/C][C]0.128273[/C][/ROW]
[ROW][C]15[/C][C]83.41[/C][C]83.3263[/C][C]83.6396[/C][C]-0.313273[/C][C]0.0836892[/C][/ROW]
[ROW][C]16[/C][C]83.88[/C][C]83.7538[/C][C]83.7921[/C][C]-0.0383247[/C][C]0.126241[/C][/ROW]
[ROW][C]17[/C][C]83.96[/C][C]83.737[/C][C]83.9533[/C][C]-0.216293[/C][C]0.22296[/C][/ROW]
[ROW][C]18[/C][C]84.32[/C][C]84.0971[/C][C]84.1425[/C][C]-0.0453559[/C][C]0.222856[/C][/ROW]
[ROW][C]19[/C][C]85.82[/C][C]85.8143[/C][C]84.3525[/C][C]1.46178[/C][C]0.00572049[/C][/ROW]
[ROW][C]20[/C][C]85.72[/C][C]85.7664[/C][C]84.5537[/C][C]1.21261[/C][C]-0.0463628[/C][/ROW]
[ROW][C]21[/C][C]84.36[/C][C]84.7251[/C][C]84.7704[/C][C]-0.0453038[/C][C]-0.365113[/C][/ROW]
[ROW][C]22[/C][C]84.36[/C][C]84.8593[/C][C]84.9925[/C][C]-0.13322[/C][C]-0.49928[/C][/ROW]
[ROW][C]23[/C][C]84.36[/C][C]84.6978[/C][C]85.2121[/C][C]-0.514314[/C][C]-0.337769[/C][/ROW]
[ROW][C]24[/C][C]85.08[/C][C]85.2349[/C][C]85.4596[/C][C]-0.224731[/C][C]-0.154852[/C][/ROW]
[ROW][C]25[/C][C]84.95[/C][C]84.9659[/C][C]85.7342[/C][C]-0.76822[/C][C]-0.0159462[/C][/ROW]
[ROW][C]26[/C][C]85.62[/C][C]85.6551[/C][C]86.0304[/C][C]-0.375356[/C][C]-0.0350608[/C][/ROW]
[ROW][C]27[/C][C]86.22[/C][C]86.0334[/C][C]86.3467[/C][C]-0.313273[/C][C]0.186606[/C][/ROW]
[ROW][C]28[/C][C]86.4[/C][C]86.6592[/C][C]86.6975[/C][C]-0.0383247[/C][C]-0.259175[/C][/ROW]
[ROW][C]29[/C][C]86.71[/C][C]86.8545[/C][C]87.0708[/C][C]-0.216293[/C][C]-0.14454[/C][/ROW]
[ROW][C]30[/C][C]87.51[/C][C]87.3834[/C][C]87.4288[/C][C]-0.0453559[/C][C]0.126606[/C][/ROW]
[ROW][C]31[/C][C]89.22[/C][C]89.2247[/C][C]87.7629[/C][C]1.46178[/C][C]-0.00469618[/C][/ROW]
[ROW][C]32[/C][C]89.43[/C][C]89.2959[/C][C]88.0833[/C][C]1.21261[/C][C]0.134054[/C][/ROW]
[ROW][C]33[/C][C]88.24[/C][C]88.3414[/C][C]88.3867[/C][C]-0.0453038[/C][C]-0.101363[/C][/ROW]
[ROW][C]34[/C][C]88.9[/C][C]88.5589[/C][C]88.6921[/C][C]-0.13322[/C][C]0.341137[/C][/ROW]
[ROW][C]35[/C][C]88.78[/C][C]88.4803[/C][C]88.9946[/C][C]-0.514314[/C][C]0.299731[/C][/ROW]
[ROW][C]36[/C][C]89.25[/C][C]89.0315[/C][C]89.2562[/C][C]-0.224731[/C][C]0.218481[/C][/ROW]
[ROW][C]37[/C][C]88.8[/C][C]88.7309[/C][C]89.4992[/C][C]-0.76822[/C][C]0.0690538[/C][/ROW]
[ROW][C]38[/C][C]89.46[/C][C]89.3563[/C][C]89.7317[/C][C]-0.375356[/C][C]0.103689[/C][/ROW]
[ROW][C]39[/C][C]89.66[/C][C]89.6588[/C][C]89.9721[/C][C]-0.313273[/C][C]0.00118924[/C][/ROW]
[ROW][C]40[/C][C]90.29[/C][C]90.16[/C][C]90.1983[/C][C]-0.0383247[/C][C]0.129991[/C][/ROW]
[ROW][C]41[/C][C]90.08[/C][C]90.1708[/C][C]90.3871[/C][C]-0.216293[/C][C]-0.0907899[/C][/ROW]
[ROW][C]42[/C][C]90.42[/C][C]90.5267[/C][C]90.5721[/C][C]-0.0453559[/C][C]-0.106727[/C][/ROW]
[ROW][C]43[/C][C]92.14[/C][C]92.2176[/C][C]90.7558[/C][C]1.46178[/C][C]-0.0776128[/C][/ROW]
[ROW][C]44[/C][C]92.09[/C][C]92.1451[/C][C]90.9325[/C][C]1.21261[/C][C]-0.0551128[/C][/ROW]
[ROW][C]45[/C][C]91.35[/C][C]91.0547[/C][C]91.1[/C][C]-0.0453038[/C][C]0.295304[/C][/ROW]
[ROW][C]46[/C][C]91.22[/C][C]91.1247[/C][C]91.2579[/C][C]-0.13322[/C][C]0.0953038[/C][/ROW]
[ROW][C]47[/C][C]90.99[/C][C]90.9107[/C][C]91.425[/C][C]-0.514314[/C][C]0.0793142[/C][/ROW]
[ROW][C]48[/C][C]91.48[/C][C]91.3644[/C][C]91.5892[/C][C]-0.224731[/C][C]0.115564[/C][/ROW]
[ROW][C]49[/C][C]90.98[/C][C]90.9768[/C][C]91.745[/C][C]-0.76822[/C][C]0.00322049[/C][/ROW]
[ROW][C]50[/C][C]91.52[/C][C]91.5242[/C][C]91.8996[/C][C]-0.375356[/C][C]-0.00422743[/C][/ROW]
[ROW][C]51[/C][C]91.62[/C][C]91.7355[/C][C]92.0488[/C][C]-0.313273[/C][C]-0.115477[/C][/ROW]
[ROW][C]52[/C][C]92.12[/C][C]92.1758[/C][C]92.2142[/C][C]-0.0383247[/C][C]-0.055842[/C][/ROW]
[ROW][C]53[/C][C]92.26[/C][C]92.1745[/C][C]92.3908[/C][C]-0.216293[/C][C]0.0854601[/C][/ROW]
[ROW][C]54[/C][C]92.18[/C][C]92.5234[/C][C]92.5688[/C][C]-0.0453559[/C][C]-0.343394[/C][/ROW]
[ROW][C]55[/C][C]94.12[/C][C]94.2164[/C][C]92.7546[/C][C]1.46178[/C][C]-0.0963628[/C][/ROW]
[ROW][C]56[/C][C]93.82[/C][C]94.1539[/C][C]92.9412[/C][C]1.21261[/C][C]-0.333863[/C][/ROW]
[ROW][C]57[/C][C]93.2[/C][C]93.0934[/C][C]93.1388[/C][C]-0.0453038[/C][C]0.106554[/C][/ROW]
[ROW][C]58[/C][C]93.34[/C][C]93.2251[/C][C]93.3583[/C][C]-0.13322[/C][C]0.114887[/C][/ROW]
[ROW][C]59[/C][C]93.11[/C][C]93.0507[/C][C]93.565[/C][C]-0.514314[/C][C]0.0593142[/C][/ROW]
[ROW][C]60[/C][C]93.63[/C][C]93.5494[/C][C]93.7742[/C][C]-0.224731[/C][C]0.0805642[/C][/ROW]
[ROW][C]61[/C][C]93.29[/C][C]93.2355[/C][C]94.0038[/C][C]-0.76822[/C][C]0.0544705[/C][/ROW]
[ROW][C]62[/C][C]93.69[/C][C]93.8588[/C][C]94.2342[/C][C]-0.375356[/C][C]-0.168811[/C][/ROW]
[ROW][C]63[/C][C]94.19[/C][C]94.1296[/C][C]94.4429[/C][C]-0.313273[/C][C]0.0603559[/C][/ROW]
[ROW][C]64[/C][C]94.82[/C][C]94.59[/C][C]94.6283[/C][C]-0.0383247[/C][C]0.229991[/C][/ROW]
[ROW][C]65[/C][C]94.52[/C][C]94.5987[/C][C]94.815[/C][C]-0.216293[/C][C]-0.0787066[/C][/ROW]
[ROW][C]66[/C][C]94.94[/C][C]94.9626[/C][C]95.0079[/C][C]-0.0453559[/C][C]-0.0225608[/C][/ROW]
[ROW][C]67[/C][C]96.87[/C][C]96.6647[/C][C]95.2029[/C][C]1.46178[/C][C]0.205304[/C][/ROW]
[ROW][C]68[/C][C]96.6[/C][C]96.6151[/C][C]95.4025[/C][C]1.21261[/C][C]-0.0151128[/C][/ROW]
[ROW][C]69[/C][C]95.43[/C][C]95.5468[/C][C]95.5921[/C][C]-0.0453038[/C][C]-0.11678[/C][/ROW]
[ROW][C]70[/C][C]95.56[/C][C]95.6443[/C][C]95.7775[/C][C]-0.13322[/C][C]-0.0842795[/C][/ROW]
[ROW][C]71[/C][C]95.37[/C][C]95.4753[/C][C]95.9896[/C][C]-0.514314[/C][C]-0.105269[/C][/ROW]
[ROW][C]72[/C][C]96[/C][C]95.9944[/C][C]96.2192[/C][C]-0.224731[/C][C]0.00556424[/C][/ROW]
[ROW][C]73[/C][C]95.6[/C][C]95.6718[/C][C]96.44[/C][C]-0.76822[/C][C]-0.0717795[/C][/ROW]
[ROW][C]74[/C][C]96.17[/C][C]96.2842[/C][C]96.6596[/C][C]-0.375356[/C][C]-0.114227[/C][/ROW]
[ROW][C]75[/C][C]96.26[/C][C]96.578[/C][C]96.8913[/C][C]-0.313273[/C][C]-0.317977[/C][/ROW]
[ROW][C]76[/C][C]97.2[/C][C]97.0821[/C][C]97.1204[/C][C]-0.0383247[/C][C]0.117908[/C][/ROW]
[ROW][C]77[/C][C]97.23[/C][C]97.1258[/C][C]97.3421[/C][C]-0.216293[/C][C]0.10421[/C][/ROW]
[ROW][C]78[/C][C]97.74[/C][C]97.5109[/C][C]97.5562[/C][C]-0.0453559[/C][C]0.229106[/C][/ROW]
[ROW][C]79[/C][C]99.37[/C][C]99.2226[/C][C]97.7608[/C][C]1.46178[/C][C]0.147387[/C][/ROW]
[ROW][C]80[/C][C]99.37[/C][C]99.1751[/C][C]97.9625[/C][C]1.21261[/C][C]0.194887[/C][/ROW]
[ROW][C]81[/C][C]98.22[/C][C]98.123[/C][C]98.1683[/C][C]-0.0453038[/C][C]0.0969705[/C][/ROW]
[ROW][C]82[/C][C]98.27[/C][C]98.2289[/C][C]98.3621[/C][C]-0.13322[/C][C]0.0411372[/C][/ROW]
[ROW][C]83[/C][C]97.98[/C][C]98.0332[/C][C]98.5475[/C][C]-0.514314[/C][C]-0.0531858[/C][/ROW]
[ROW][C]84[/C][C]98.53[/C][C]98.4978[/C][C]98.7225[/C][C]-0.224731[/C][C]0.0322309[/C][/ROW]
[ROW][C]85[/C][C]97.98[/C][C]98.128[/C][C]98.8962[/C][C]-0.76822[/C][C]-0.14803[/C][/ROW]
[ROW][C]86[/C][C]98.63[/C][C]98.7121[/C][C]99.0875[/C][C]-0.375356[/C][C]-0.0821441[/C][/ROW]
[ROW][C]87[/C][C]98.74[/C][C]98.9663[/C][C]99.2796[/C][C]-0.313273[/C][C]-0.226311[/C][/ROW]
[ROW][C]88[/C][C]99.37[/C][C]99.4417[/C][C]99.48[/C][C]-0.0383247[/C][C]-0.0716753[/C][/ROW]
[ROW][C]89[/C][C]99.51[/C][C]99.4737[/C][C]99.69[/C][C]-0.216293[/C][C]0.0362934[/C][/ROW]
[ROW][C]90[/C][C]99.66[/C][C]99.8521[/C][C]99.8975[/C][C]-0.0453559[/C][C]-0.192144[/C][/ROW]
[ROW][C]91[/C][C]101.62[/C][C]101.573[/C][C]100.111[/C][C]1.46178[/C][C]0.0473872[/C][/ROW]
[ROW][C]92[/C][C]101.71[/C][C]101.537[/C][C]100.325[/C][C]1.21261[/C][C]0.172804[/C][/ROW]
[ROW][C]93[/C][C]100.49[/C][C]100.496[/C][C]100.541[/C][C]-0.0453038[/C][C]-0.00594618[/C][/ROW]
[ROW][C]94[/C][C]100.81[/C][C]100.603[/C][C]100.736[/C][C]-0.13322[/C][C]0.20697[/C][/ROW]
[ROW][C]95[/C][C]100.48[/C][C]100.382[/C][C]100.897[/C][C]-0.514314[/C][C]0.0976476[/C][/ROW]
[ROW][C]96[/C][C]101.01[/C][C]100.845[/C][C]101.07[/C][C]-0.224731[/C][C]0.165148[/C][/ROW]
[ROW][C]97[/C][C]100.62[/C][C]100.429[/C][C]101.197[/C][C]-0.76822[/C][C]0.19072[/C][/ROW]
[ROW][C]98[/C][C]101.12[/C][C]100.875[/C][C]101.25[/C][C]-0.375356[/C][C]0.244939[/C][/ROW]
[ROW][C]99[/C][C]101.45[/C][C]101.05[/C][C]101.363[/C][C]-0.313273[/C][C]0.400356[/C][/ROW]
[ROW][C]100[/C][C]101.34[/C][C]101.485[/C][C]101.523[/C][C]-0.0383247[/C][C]-0.145009[/C][/ROW]
[ROW][C]101[/C][C]101.39[/C][C]101.452[/C][C]101.669[/C][C]-0.216293[/C][C]-0.0624566[/C][/ROW]
[ROW][C]102[/C][C]101.93[/C][C]101.771[/C][C]101.817[/C][C]-0.0453559[/C][C]0.158689[/C][/ROW]
[ROW][C]103[/C][C]102.42[/C][C]NA[/C][C]NA[/C][C]1.46178[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]102.18[/C][C]NA[/C][C]NA[/C][C]1.21261[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]102.72[/C][C]NA[/C][C]NA[/C][C]-0.0453038[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]102.43[/C][C]NA[/C][C]NA[/C][C]-0.13322[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]102.35[/C][C]NA[/C][C]NA[/C][C]-0.514314[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]102.69[/C][C]NA[/C][C]NA[/C][C]-0.224731[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284381&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284381&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	80.44	NA	NA	-0.76822	NA
2	80.9	NA	NA	-0.375356	NA
3	81.03	NA	NA	-0.313273	NA
4	81.6	NA	NA	-0.0383247	NA
5	81.56	NA	NA	-0.216293	NA
6	82.08	NA	NA	-0.0453559	NA
7	83.44	83.5947	82.1329	1.46178	-0.154696
8	83.55	83.5289	82.3162	1.21261	0.0211372
9	82.63	82.4672	82.5125	-0.0453038	0.162804
10	82.43	82.5734	82.7067	-0.13322	-0.143446
11	82.42	82.3874	82.9017	-0.514314	0.0326476
12	82.48	82.8703	83.095	-0.224731	-0.390269
13	82.51	82.5193	83.2875	-0.76822	-0.00927951
14	83.23	83.1017	83.4771	-0.375356	0.128273
15	83.41	83.3263	83.6396	-0.313273	0.0836892
16	83.88	83.7538	83.7921	-0.0383247	0.126241
17	83.96	83.737	83.9533	-0.216293	0.22296
18	84.32	84.0971	84.1425	-0.0453559	0.222856
19	85.82	85.8143	84.3525	1.46178	0.00572049
20	85.72	85.7664	84.5537	1.21261	-0.0463628
21	84.36	84.7251	84.7704	-0.0453038	-0.365113
22	84.36	84.8593	84.9925	-0.13322	-0.49928
23	84.36	84.6978	85.2121	-0.514314	-0.337769
24	85.08	85.2349	85.4596	-0.224731	-0.154852
25	84.95	84.9659	85.7342	-0.76822	-0.0159462
26	85.62	85.6551	86.0304	-0.375356	-0.0350608
27	86.22	86.0334	86.3467	-0.313273	0.186606
28	86.4	86.6592	86.6975	-0.0383247	-0.259175
29	86.71	86.8545	87.0708	-0.216293	-0.14454
30	87.51	87.3834	87.4288	-0.0453559	0.126606
31	89.22	89.2247	87.7629	1.46178	-0.00469618
32	89.43	89.2959	88.0833	1.21261	0.134054
33	88.24	88.3414	88.3867	-0.0453038	-0.101363
34	88.9	88.5589	88.6921	-0.13322	0.341137
35	88.78	88.4803	88.9946	-0.514314	0.299731
36	89.25	89.0315	89.2562	-0.224731	0.218481
37	88.8	88.7309	89.4992	-0.76822	0.0690538
38	89.46	89.3563	89.7317	-0.375356	0.103689
39	89.66	89.6588	89.9721	-0.313273	0.00118924
40	90.29	90.16	90.1983	-0.0383247	0.129991
41	90.08	90.1708	90.3871	-0.216293	-0.0907899
42	90.42	90.5267	90.5721	-0.0453559	-0.106727
43	92.14	92.2176	90.7558	1.46178	-0.0776128
44	92.09	92.1451	90.9325	1.21261	-0.0551128
45	91.35	91.0547	91.1	-0.0453038	0.295304
46	91.22	91.1247	91.2579	-0.13322	0.0953038
47	90.99	90.9107	91.425	-0.514314	0.0793142
48	91.48	91.3644	91.5892	-0.224731	0.115564
49	90.98	90.9768	91.745	-0.76822	0.00322049
50	91.52	91.5242	91.8996	-0.375356	-0.00422743
51	91.62	91.7355	92.0488	-0.313273	-0.115477
52	92.12	92.1758	92.2142	-0.0383247	-0.055842
53	92.26	92.1745	92.3908	-0.216293	0.0854601
54	92.18	92.5234	92.5688	-0.0453559	-0.343394
55	94.12	94.2164	92.7546	1.46178	-0.0963628
56	93.82	94.1539	92.9412	1.21261	-0.333863
57	93.2	93.0934	93.1388	-0.0453038	0.106554
58	93.34	93.2251	93.3583	-0.13322	0.114887
59	93.11	93.0507	93.565	-0.514314	0.0593142
60	93.63	93.5494	93.7742	-0.224731	0.0805642
61	93.29	93.2355	94.0038	-0.76822	0.0544705
62	93.69	93.8588	94.2342	-0.375356	-0.168811
63	94.19	94.1296	94.4429	-0.313273	0.0603559
64	94.82	94.59	94.6283	-0.0383247	0.229991
65	94.52	94.5987	94.815	-0.216293	-0.0787066
66	94.94	94.9626	95.0079	-0.0453559	-0.0225608
67	96.87	96.6647	95.2029	1.46178	0.205304
68	96.6	96.6151	95.4025	1.21261	-0.0151128
69	95.43	95.5468	95.5921	-0.0453038	-0.11678
70	95.56	95.6443	95.7775	-0.13322	-0.0842795
71	95.37	95.4753	95.9896	-0.514314	-0.105269
72	96	95.9944	96.2192	-0.224731	0.00556424
73	95.6	95.6718	96.44	-0.76822	-0.0717795
74	96.17	96.2842	96.6596	-0.375356	-0.114227
75	96.26	96.578	96.8913	-0.313273	-0.317977
76	97.2	97.0821	97.1204	-0.0383247	0.117908
77	97.23	97.1258	97.3421	-0.216293	0.10421
78	97.74	97.5109	97.5562	-0.0453559	0.229106
79	99.37	99.2226	97.7608	1.46178	0.147387
80	99.37	99.1751	97.9625	1.21261	0.194887
81	98.22	98.123	98.1683	-0.0453038	0.0969705
82	98.27	98.2289	98.3621	-0.13322	0.0411372
83	97.98	98.0332	98.5475	-0.514314	-0.0531858
84	98.53	98.4978	98.7225	-0.224731	0.0322309
85	97.98	98.128	98.8962	-0.76822	-0.14803
86	98.63	98.7121	99.0875	-0.375356	-0.0821441
87	98.74	98.9663	99.2796	-0.313273	-0.226311
88	99.37	99.4417	99.48	-0.0383247	-0.0716753
89	99.51	99.4737	99.69	-0.216293	0.0362934
90	99.66	99.8521	99.8975	-0.0453559	-0.192144
91	101.62	101.573	100.111	1.46178	0.0473872
92	101.71	101.537	100.325	1.21261	0.172804
93	100.49	100.496	100.541	-0.0453038	-0.00594618
94	100.81	100.603	100.736	-0.13322	0.20697
95	100.48	100.382	100.897	-0.514314	0.0976476
96	101.01	100.845	101.07	-0.224731	0.165148
97	100.62	100.429	101.197	-0.76822	0.19072
98	101.12	100.875	101.25	-0.375356	0.244939
99	101.45	101.05	101.363	-0.313273	0.400356
100	101.34	101.485	101.523	-0.0383247	-0.145009
101	101.39	101.452	101.669	-0.216293	-0.0624566
102	101.93	101.771	101.817	-0.0453559	0.158689
103	102.42	NA	NA	1.46178	NA
104	102.18	NA	NA	1.21261	NA
105	102.72	NA	NA	-0.0453038	NA
106	102.43	NA	NA	-0.13322	NA
107	102.35	NA	NA	-0.514314	NA
108	102.69	NA	NA	-0.224731	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