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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 25 Nov 2015 20:40:42 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/25/t14484841590ocpvfihaev0bfs.htm/, Retrieved Wed, 15 May 2024 13:21:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284158, Retrieved Wed, 15 May 2024 13:21:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-25 20:40:42] [30eae7c09eb039ed7d9b26159bd388f7] [Current]
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Dataseries X:
88.52
90.15
88.63
88.32
88.51
88.53
88.35
88.4
88.41
88.47
88.46
89.28
89.11
90.74
89.49
88.62
89.09
89.14
89.45
89.33
89.44
89.54
89.52
90.48
90.04
91.93
91.25
89.27
90.57
90.79
90.83
90.76
91.29
91.48
91.63
92.63
91.7
93.86
92.45
92.03
92.71
93.15
92.98
92.73
93.29
93.2
93.34
93.95
93.43
95.67
94.02
93.51
94.6
94.27
94.05
94.1
94.51
94.53
94.2
93.58
94.94
96.24
95.77
94.41
95.09
95.37
95.17
95.05
95.33
95.42
95.95
96.12
96.94
98.73
98.03
97.42
98.39
98.77
98.46
98.3
98.25
98.33
98.61
98.99
98.8
100.26
100.85
98.87
99.81
100.44
100.07
99.8
99.77
99.9
100.58
100.86
101.05
101.3
101.45
101.13
101.38
101.03
100.79
100.84
101.17
101.36
101.14
101.24




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284158&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284158&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284158&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
188.52NANA-0.0958464NA
290.15NANA1.36457NA
388.63NANA0.55582NA
488.32NANA-0.584023NA
588.51NANA0.0802995NA
688.53NANA0.116966NA
788.3588.544188.6938-0.149648-0.194102
888.488.358788.7429-0.3842320.0413151
988.4188.521888.8033-0.281576-0.111758
1088.4788.509188.8517-0.342565-0.0391016
1188.4688.589588.8883-0.298815-0.129518
1289.2888.95788.93790.01904950.323034
1389.1188.913389.0092-0.09584640.19668
1490.7490.458389.09381.364570.28168
1589.4989.731289.17540.55582-0.241237
1688.6288.678989.2629-0.584023-0.0588932
1789.0989.43289.35170.0802995-0.341966
1889.1489.562889.44580.116966-0.422799
1989.4589.384989.5346-0.1496480.0650651
2089.3389.238789.6229-0.3842320.0913151
2189.4489.464389.7458-0.281576-0.0242578
2289.5489.503789.8462-0.3425650.0363151
2389.5289.636289.935-0.298815-0.116185
2490.4890.084590.06540.01904950.395534
2590.0490.095890.1917-0.0958464-0.0558203
2691.9391.673390.30881.364570.25668
2791.2591.001290.44540.555820.248763
2889.2790.019390.6033-0.584023-0.74931
2990.5790.852490.77210.0802995-0.282383
3090.7991.066590.94960.116966-0.276549
3190.8390.958791.1083-0.149648-0.128685
3290.7690.873791.2579-0.384232-0.113685
3391.2991.106891.3883-0.2815760.183242
3491.4891.210891.5533-0.3425650.269232
3591.6391.458791.7575-0.2988150.171315
3692.6391.96491.9450.01904950.665951
3791.792.037192.1329-0.0958464-0.33707
3893.8693.669292.30461.364570.190846
3992.4593.025892.470.55582-0.57582
4092.0392.04192.625-0.584023-0.0109766
4192.7192.848292.76790.0802995-0.138216
4293.1593.011192.89420.1169660.138867
4392.9892.871693.0213-0.1496480.108398
4492.7392.784593.1687-0.384232-0.0545182
4593.2993.02893.3096-0.2815760.261992
4693.293.094193.4367-0.3425650.105898
4793.3493.278393.5771-0.2988150.0617318
4893.9593.721593.70250.01904950.228451
4993.4393.697993.7938-0.0958464-0.267904
5095.6795.2693.89541.364570.410013
5194.0294.559294.00330.55582-0.539154
5293.5193.525694.1096-0.584023-0.0155599
5394.694.281194.20080.08029950.318867
5494.2794.338294.22120.116966-0.0682161
5594.0594.119194.2688-0.149648-0.0691016
5694.193.971294.3554-0.3842320.128815
5794.5194.170594.4521-0.2815760.339492
5894.5394.219994.5625-0.3425650.310065
5994.294.321694.6204-0.298815-0.121602
6093.5894.705794.68670.0190495-1.12572
6194.9494.683394.7792-0.09584640.25668
6296.2496.2394.86541.364570.010013
6395.7795.49594.93920.555820.275013
6494.4194.426495.0104-0.584023-0.0163932
6595.0995.200795.12040.0802995-0.110716
6695.3795.416195.29920.116966-0.0461328
6795.1795.338795.4883-0.149648-0.168685
6895.0595.291295.6754-0.384232-0.241185
6995.3395.591895.8733-0.281576-0.261758
7095.4295.750496.0929-0.342565-0.330352
7195.9596.05796.3558-0.298815-0.107018
7296.1296.65496.6350.0190495-0.534049
7396.9496.817996.9137-0.09584640.122096
7498.7398.550897.18621.364570.17918
7598.0397.999297.44330.555820.0308464
7697.4297.102297.6862-0.5840230.317773
7798.3997.998697.91830.08029950.391367
7898.7798.265798.14870.1169660.504284
7998.4698.196298.3458-0.1496480.263815
8098.398.102998.4871-0.3842320.197148
8198.2598.386898.6683-0.281576-0.136758
8298.3398.503798.8463-0.342565-0.173685
8398.6198.66798.9658-0.298815-0.0570182
8498.9999.113699.09460.0190495-0.123633
8598.899.135499.2312-0.0958464-0.335404
86100.26100.72599.36081.36457-0.465404
87100.85100.04299.48670.555820.807513
8898.8799.031499.6154-0.584023-0.161393
8999.8199.843299.76290.0802995-0.0332161
90100.44100.0499.92290.1169660.400117
91100.0799.9449100.095-0.1496480.125065
9299.899.8474100.232-0.384232-0.0474349
9399.77100.018100.3-0.281576-0.248424
9499.9100.077100.419-0.342565-0.176602
95100.58100.28100.579-0.2988150.300065
96100.86100.688100.6690.01904950.172201
97101.05100.627100.723-0.09584640.422513
98101.3102.161100.7971.36457-0.861237
99101.45101.454100.8980.55582-0.00415365
100101.13100.433101.017-0.5840230.696523
101101.38101.182101.1020.08029950.198034
102101.03101.258101.1410.116966-0.227799
103100.79NANA-0.149648NA
104100.84NANA-0.384232NA
105101.17NANA-0.281576NA
106101.36NANA-0.342565NA
107101.14NANA-0.298815NA
108101.24NANA0.0190495NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 88.52 & NA & NA & -0.0958464 & NA \tabularnewline
2 & 90.15 & NA & NA & 1.36457 & NA \tabularnewline
3 & 88.63 & NA & NA & 0.55582 & NA \tabularnewline
4 & 88.32 & NA & NA & -0.584023 & NA \tabularnewline
5 & 88.51 & NA & NA & 0.0802995 & NA \tabularnewline
6 & 88.53 & NA & NA & 0.116966 & NA \tabularnewline
7 & 88.35 & 88.5441 & 88.6938 & -0.149648 & -0.194102 \tabularnewline
8 & 88.4 & 88.3587 & 88.7429 & -0.384232 & 0.0413151 \tabularnewline
9 & 88.41 & 88.5218 & 88.8033 & -0.281576 & -0.111758 \tabularnewline
10 & 88.47 & 88.5091 & 88.8517 & -0.342565 & -0.0391016 \tabularnewline
11 & 88.46 & 88.5895 & 88.8883 & -0.298815 & -0.129518 \tabularnewline
12 & 89.28 & 88.957 & 88.9379 & 0.0190495 & 0.323034 \tabularnewline
13 & 89.11 & 88.9133 & 89.0092 & -0.0958464 & 0.19668 \tabularnewline
14 & 90.74 & 90.4583 & 89.0938 & 1.36457 & 0.28168 \tabularnewline
15 & 89.49 & 89.7312 & 89.1754 & 0.55582 & -0.241237 \tabularnewline
16 & 88.62 & 88.6789 & 89.2629 & -0.584023 & -0.0588932 \tabularnewline
17 & 89.09 & 89.432 & 89.3517 & 0.0802995 & -0.341966 \tabularnewline
18 & 89.14 & 89.5628 & 89.4458 & 0.116966 & -0.422799 \tabularnewline
19 & 89.45 & 89.3849 & 89.5346 & -0.149648 & 0.0650651 \tabularnewline
20 & 89.33 & 89.2387 & 89.6229 & -0.384232 & 0.0913151 \tabularnewline
21 & 89.44 & 89.4643 & 89.7458 & -0.281576 & -0.0242578 \tabularnewline
22 & 89.54 & 89.5037 & 89.8462 & -0.342565 & 0.0363151 \tabularnewline
23 & 89.52 & 89.6362 & 89.935 & -0.298815 & -0.116185 \tabularnewline
24 & 90.48 & 90.0845 & 90.0654 & 0.0190495 & 0.395534 \tabularnewline
25 & 90.04 & 90.0958 & 90.1917 & -0.0958464 & -0.0558203 \tabularnewline
26 & 91.93 & 91.6733 & 90.3088 & 1.36457 & 0.25668 \tabularnewline
27 & 91.25 & 91.0012 & 90.4454 & 0.55582 & 0.248763 \tabularnewline
28 & 89.27 & 90.0193 & 90.6033 & -0.584023 & -0.74931 \tabularnewline
29 & 90.57 & 90.8524 & 90.7721 & 0.0802995 & -0.282383 \tabularnewline
30 & 90.79 & 91.0665 & 90.9496 & 0.116966 & -0.276549 \tabularnewline
31 & 90.83 & 90.9587 & 91.1083 & -0.149648 & -0.128685 \tabularnewline
32 & 90.76 & 90.8737 & 91.2579 & -0.384232 & -0.113685 \tabularnewline
33 & 91.29 & 91.1068 & 91.3883 & -0.281576 & 0.183242 \tabularnewline
34 & 91.48 & 91.2108 & 91.5533 & -0.342565 & 0.269232 \tabularnewline
35 & 91.63 & 91.4587 & 91.7575 & -0.298815 & 0.171315 \tabularnewline
36 & 92.63 & 91.964 & 91.945 & 0.0190495 & 0.665951 \tabularnewline
37 & 91.7 & 92.0371 & 92.1329 & -0.0958464 & -0.33707 \tabularnewline
38 & 93.86 & 93.6692 & 92.3046 & 1.36457 & 0.190846 \tabularnewline
39 & 92.45 & 93.0258 & 92.47 & 0.55582 & -0.57582 \tabularnewline
40 & 92.03 & 92.041 & 92.625 & -0.584023 & -0.0109766 \tabularnewline
41 & 92.71 & 92.8482 & 92.7679 & 0.0802995 & -0.138216 \tabularnewline
42 & 93.15 & 93.0111 & 92.8942 & 0.116966 & 0.138867 \tabularnewline
43 & 92.98 & 92.8716 & 93.0213 & -0.149648 & 0.108398 \tabularnewline
44 & 92.73 & 92.7845 & 93.1687 & -0.384232 & -0.0545182 \tabularnewline
45 & 93.29 & 93.028 & 93.3096 & -0.281576 & 0.261992 \tabularnewline
46 & 93.2 & 93.0941 & 93.4367 & -0.342565 & 0.105898 \tabularnewline
47 & 93.34 & 93.2783 & 93.5771 & -0.298815 & 0.0617318 \tabularnewline
48 & 93.95 & 93.7215 & 93.7025 & 0.0190495 & 0.228451 \tabularnewline
49 & 93.43 & 93.6979 & 93.7938 & -0.0958464 & -0.267904 \tabularnewline
50 & 95.67 & 95.26 & 93.8954 & 1.36457 & 0.410013 \tabularnewline
51 & 94.02 & 94.5592 & 94.0033 & 0.55582 & -0.539154 \tabularnewline
52 & 93.51 & 93.5256 & 94.1096 & -0.584023 & -0.0155599 \tabularnewline
53 & 94.6 & 94.2811 & 94.2008 & 0.0802995 & 0.318867 \tabularnewline
54 & 94.27 & 94.3382 & 94.2212 & 0.116966 & -0.0682161 \tabularnewline
55 & 94.05 & 94.1191 & 94.2688 & -0.149648 & -0.0691016 \tabularnewline
56 & 94.1 & 93.9712 & 94.3554 & -0.384232 & 0.128815 \tabularnewline
57 & 94.51 & 94.1705 & 94.4521 & -0.281576 & 0.339492 \tabularnewline
58 & 94.53 & 94.2199 & 94.5625 & -0.342565 & 0.310065 \tabularnewline
59 & 94.2 & 94.3216 & 94.6204 & -0.298815 & -0.121602 \tabularnewline
60 & 93.58 & 94.7057 & 94.6867 & 0.0190495 & -1.12572 \tabularnewline
61 & 94.94 & 94.6833 & 94.7792 & -0.0958464 & 0.25668 \tabularnewline
62 & 96.24 & 96.23 & 94.8654 & 1.36457 & 0.010013 \tabularnewline
63 & 95.77 & 95.495 & 94.9392 & 0.55582 & 0.275013 \tabularnewline
64 & 94.41 & 94.4264 & 95.0104 & -0.584023 & -0.0163932 \tabularnewline
65 & 95.09 & 95.2007 & 95.1204 & 0.0802995 & -0.110716 \tabularnewline
66 & 95.37 & 95.4161 & 95.2992 & 0.116966 & -0.0461328 \tabularnewline
67 & 95.17 & 95.3387 & 95.4883 & -0.149648 & -0.168685 \tabularnewline
68 & 95.05 & 95.2912 & 95.6754 & -0.384232 & -0.241185 \tabularnewline
69 & 95.33 & 95.5918 & 95.8733 & -0.281576 & -0.261758 \tabularnewline
70 & 95.42 & 95.7504 & 96.0929 & -0.342565 & -0.330352 \tabularnewline
71 & 95.95 & 96.057 & 96.3558 & -0.298815 & -0.107018 \tabularnewline
72 & 96.12 & 96.654 & 96.635 & 0.0190495 & -0.534049 \tabularnewline
73 & 96.94 & 96.8179 & 96.9137 & -0.0958464 & 0.122096 \tabularnewline
74 & 98.73 & 98.5508 & 97.1862 & 1.36457 & 0.17918 \tabularnewline
75 & 98.03 & 97.9992 & 97.4433 & 0.55582 & 0.0308464 \tabularnewline
76 & 97.42 & 97.1022 & 97.6862 & -0.584023 & 0.317773 \tabularnewline
77 & 98.39 & 97.9986 & 97.9183 & 0.0802995 & 0.391367 \tabularnewline
78 & 98.77 & 98.2657 & 98.1487 & 0.116966 & 0.504284 \tabularnewline
79 & 98.46 & 98.1962 & 98.3458 & -0.149648 & 0.263815 \tabularnewline
80 & 98.3 & 98.1029 & 98.4871 & -0.384232 & 0.197148 \tabularnewline
81 & 98.25 & 98.3868 & 98.6683 & -0.281576 & -0.136758 \tabularnewline
82 & 98.33 & 98.5037 & 98.8463 & -0.342565 & -0.173685 \tabularnewline
83 & 98.61 & 98.667 & 98.9658 & -0.298815 & -0.0570182 \tabularnewline
84 & 98.99 & 99.1136 & 99.0946 & 0.0190495 & -0.123633 \tabularnewline
85 & 98.8 & 99.1354 & 99.2312 & -0.0958464 & -0.335404 \tabularnewline
86 & 100.26 & 100.725 & 99.3608 & 1.36457 & -0.465404 \tabularnewline
87 & 100.85 & 100.042 & 99.4867 & 0.55582 & 0.807513 \tabularnewline
88 & 98.87 & 99.0314 & 99.6154 & -0.584023 & -0.161393 \tabularnewline
89 & 99.81 & 99.8432 & 99.7629 & 0.0802995 & -0.0332161 \tabularnewline
90 & 100.44 & 100.04 & 99.9229 & 0.116966 & 0.400117 \tabularnewline
91 & 100.07 & 99.9449 & 100.095 & -0.149648 & 0.125065 \tabularnewline
92 & 99.8 & 99.8474 & 100.232 & -0.384232 & -0.0474349 \tabularnewline
93 & 99.77 & 100.018 & 100.3 & -0.281576 & -0.248424 \tabularnewline
94 & 99.9 & 100.077 & 100.419 & -0.342565 & -0.176602 \tabularnewline
95 & 100.58 & 100.28 & 100.579 & -0.298815 & 0.300065 \tabularnewline
96 & 100.86 & 100.688 & 100.669 & 0.0190495 & 0.172201 \tabularnewline
97 & 101.05 & 100.627 & 100.723 & -0.0958464 & 0.422513 \tabularnewline
98 & 101.3 & 102.161 & 100.797 & 1.36457 & -0.861237 \tabularnewline
99 & 101.45 & 101.454 & 100.898 & 0.55582 & -0.00415365 \tabularnewline
100 & 101.13 & 100.433 & 101.017 & -0.584023 & 0.696523 \tabularnewline
101 & 101.38 & 101.182 & 101.102 & 0.0802995 & 0.198034 \tabularnewline
102 & 101.03 & 101.258 & 101.141 & 0.116966 & -0.227799 \tabularnewline
103 & 100.79 & NA & NA & -0.149648 & NA \tabularnewline
104 & 100.84 & NA & NA & -0.384232 & NA \tabularnewline
105 & 101.17 & NA & NA & -0.281576 & NA \tabularnewline
106 & 101.36 & NA & NA & -0.342565 & NA \tabularnewline
107 & 101.14 & NA & NA & -0.298815 & NA \tabularnewline
108 & 101.24 & NA & NA & 0.0190495 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284158&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]88.52[/C][C]NA[/C][C]NA[/C][C]-0.0958464[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]90.15[/C][C]NA[/C][C]NA[/C][C]1.36457[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]88.63[/C][C]NA[/C][C]NA[/C][C]0.55582[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]88.32[/C][C]NA[/C][C]NA[/C][C]-0.584023[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]88.51[/C][C]NA[/C][C]NA[/C][C]0.0802995[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]88.53[/C][C]NA[/C][C]NA[/C][C]0.116966[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]88.35[/C][C]88.5441[/C][C]88.6938[/C][C]-0.149648[/C][C]-0.194102[/C][/ROW]
[ROW][C]8[/C][C]88.4[/C][C]88.3587[/C][C]88.7429[/C][C]-0.384232[/C][C]0.0413151[/C][/ROW]
[ROW][C]9[/C][C]88.41[/C][C]88.5218[/C][C]88.8033[/C][C]-0.281576[/C][C]-0.111758[/C][/ROW]
[ROW][C]10[/C][C]88.47[/C][C]88.5091[/C][C]88.8517[/C][C]-0.342565[/C][C]-0.0391016[/C][/ROW]
[ROW][C]11[/C][C]88.46[/C][C]88.5895[/C][C]88.8883[/C][C]-0.298815[/C][C]-0.129518[/C][/ROW]
[ROW][C]12[/C][C]89.28[/C][C]88.957[/C][C]88.9379[/C][C]0.0190495[/C][C]0.323034[/C][/ROW]
[ROW][C]13[/C][C]89.11[/C][C]88.9133[/C][C]89.0092[/C][C]-0.0958464[/C][C]0.19668[/C][/ROW]
[ROW][C]14[/C][C]90.74[/C][C]90.4583[/C][C]89.0938[/C][C]1.36457[/C][C]0.28168[/C][/ROW]
[ROW][C]15[/C][C]89.49[/C][C]89.7312[/C][C]89.1754[/C][C]0.55582[/C][C]-0.241237[/C][/ROW]
[ROW][C]16[/C][C]88.62[/C][C]88.6789[/C][C]89.2629[/C][C]-0.584023[/C][C]-0.0588932[/C][/ROW]
[ROW][C]17[/C][C]89.09[/C][C]89.432[/C][C]89.3517[/C][C]0.0802995[/C][C]-0.341966[/C][/ROW]
[ROW][C]18[/C][C]89.14[/C][C]89.5628[/C][C]89.4458[/C][C]0.116966[/C][C]-0.422799[/C][/ROW]
[ROW][C]19[/C][C]89.45[/C][C]89.3849[/C][C]89.5346[/C][C]-0.149648[/C][C]0.0650651[/C][/ROW]
[ROW][C]20[/C][C]89.33[/C][C]89.2387[/C][C]89.6229[/C][C]-0.384232[/C][C]0.0913151[/C][/ROW]
[ROW][C]21[/C][C]89.44[/C][C]89.4643[/C][C]89.7458[/C][C]-0.281576[/C][C]-0.0242578[/C][/ROW]
[ROW][C]22[/C][C]89.54[/C][C]89.5037[/C][C]89.8462[/C][C]-0.342565[/C][C]0.0363151[/C][/ROW]
[ROW][C]23[/C][C]89.52[/C][C]89.6362[/C][C]89.935[/C][C]-0.298815[/C][C]-0.116185[/C][/ROW]
[ROW][C]24[/C][C]90.48[/C][C]90.0845[/C][C]90.0654[/C][C]0.0190495[/C][C]0.395534[/C][/ROW]
[ROW][C]25[/C][C]90.04[/C][C]90.0958[/C][C]90.1917[/C][C]-0.0958464[/C][C]-0.0558203[/C][/ROW]
[ROW][C]26[/C][C]91.93[/C][C]91.6733[/C][C]90.3088[/C][C]1.36457[/C][C]0.25668[/C][/ROW]
[ROW][C]27[/C][C]91.25[/C][C]91.0012[/C][C]90.4454[/C][C]0.55582[/C][C]0.248763[/C][/ROW]
[ROW][C]28[/C][C]89.27[/C][C]90.0193[/C][C]90.6033[/C][C]-0.584023[/C][C]-0.74931[/C][/ROW]
[ROW][C]29[/C][C]90.57[/C][C]90.8524[/C][C]90.7721[/C][C]0.0802995[/C][C]-0.282383[/C][/ROW]
[ROW][C]30[/C][C]90.79[/C][C]91.0665[/C][C]90.9496[/C][C]0.116966[/C][C]-0.276549[/C][/ROW]
[ROW][C]31[/C][C]90.83[/C][C]90.9587[/C][C]91.1083[/C][C]-0.149648[/C][C]-0.128685[/C][/ROW]
[ROW][C]32[/C][C]90.76[/C][C]90.8737[/C][C]91.2579[/C][C]-0.384232[/C][C]-0.113685[/C][/ROW]
[ROW][C]33[/C][C]91.29[/C][C]91.1068[/C][C]91.3883[/C][C]-0.281576[/C][C]0.183242[/C][/ROW]
[ROW][C]34[/C][C]91.48[/C][C]91.2108[/C][C]91.5533[/C][C]-0.342565[/C][C]0.269232[/C][/ROW]
[ROW][C]35[/C][C]91.63[/C][C]91.4587[/C][C]91.7575[/C][C]-0.298815[/C][C]0.171315[/C][/ROW]
[ROW][C]36[/C][C]92.63[/C][C]91.964[/C][C]91.945[/C][C]0.0190495[/C][C]0.665951[/C][/ROW]
[ROW][C]37[/C][C]91.7[/C][C]92.0371[/C][C]92.1329[/C][C]-0.0958464[/C][C]-0.33707[/C][/ROW]
[ROW][C]38[/C][C]93.86[/C][C]93.6692[/C][C]92.3046[/C][C]1.36457[/C][C]0.190846[/C][/ROW]
[ROW][C]39[/C][C]92.45[/C][C]93.0258[/C][C]92.47[/C][C]0.55582[/C][C]-0.57582[/C][/ROW]
[ROW][C]40[/C][C]92.03[/C][C]92.041[/C][C]92.625[/C][C]-0.584023[/C][C]-0.0109766[/C][/ROW]
[ROW][C]41[/C][C]92.71[/C][C]92.8482[/C][C]92.7679[/C][C]0.0802995[/C][C]-0.138216[/C][/ROW]
[ROW][C]42[/C][C]93.15[/C][C]93.0111[/C][C]92.8942[/C][C]0.116966[/C][C]0.138867[/C][/ROW]
[ROW][C]43[/C][C]92.98[/C][C]92.8716[/C][C]93.0213[/C][C]-0.149648[/C][C]0.108398[/C][/ROW]
[ROW][C]44[/C][C]92.73[/C][C]92.7845[/C][C]93.1687[/C][C]-0.384232[/C][C]-0.0545182[/C][/ROW]
[ROW][C]45[/C][C]93.29[/C][C]93.028[/C][C]93.3096[/C][C]-0.281576[/C][C]0.261992[/C][/ROW]
[ROW][C]46[/C][C]93.2[/C][C]93.0941[/C][C]93.4367[/C][C]-0.342565[/C][C]0.105898[/C][/ROW]
[ROW][C]47[/C][C]93.34[/C][C]93.2783[/C][C]93.5771[/C][C]-0.298815[/C][C]0.0617318[/C][/ROW]
[ROW][C]48[/C][C]93.95[/C][C]93.7215[/C][C]93.7025[/C][C]0.0190495[/C][C]0.228451[/C][/ROW]
[ROW][C]49[/C][C]93.43[/C][C]93.6979[/C][C]93.7938[/C][C]-0.0958464[/C][C]-0.267904[/C][/ROW]
[ROW][C]50[/C][C]95.67[/C][C]95.26[/C][C]93.8954[/C][C]1.36457[/C][C]0.410013[/C][/ROW]
[ROW][C]51[/C][C]94.02[/C][C]94.5592[/C][C]94.0033[/C][C]0.55582[/C][C]-0.539154[/C][/ROW]
[ROW][C]52[/C][C]93.51[/C][C]93.5256[/C][C]94.1096[/C][C]-0.584023[/C][C]-0.0155599[/C][/ROW]
[ROW][C]53[/C][C]94.6[/C][C]94.2811[/C][C]94.2008[/C][C]0.0802995[/C][C]0.318867[/C][/ROW]
[ROW][C]54[/C][C]94.27[/C][C]94.3382[/C][C]94.2212[/C][C]0.116966[/C][C]-0.0682161[/C][/ROW]
[ROW][C]55[/C][C]94.05[/C][C]94.1191[/C][C]94.2688[/C][C]-0.149648[/C][C]-0.0691016[/C][/ROW]
[ROW][C]56[/C][C]94.1[/C][C]93.9712[/C][C]94.3554[/C][C]-0.384232[/C][C]0.128815[/C][/ROW]
[ROW][C]57[/C][C]94.51[/C][C]94.1705[/C][C]94.4521[/C][C]-0.281576[/C][C]0.339492[/C][/ROW]
[ROW][C]58[/C][C]94.53[/C][C]94.2199[/C][C]94.5625[/C][C]-0.342565[/C][C]0.310065[/C][/ROW]
[ROW][C]59[/C][C]94.2[/C][C]94.3216[/C][C]94.6204[/C][C]-0.298815[/C][C]-0.121602[/C][/ROW]
[ROW][C]60[/C][C]93.58[/C][C]94.7057[/C][C]94.6867[/C][C]0.0190495[/C][C]-1.12572[/C][/ROW]
[ROW][C]61[/C][C]94.94[/C][C]94.6833[/C][C]94.7792[/C][C]-0.0958464[/C][C]0.25668[/C][/ROW]
[ROW][C]62[/C][C]96.24[/C][C]96.23[/C][C]94.8654[/C][C]1.36457[/C][C]0.010013[/C][/ROW]
[ROW][C]63[/C][C]95.77[/C][C]95.495[/C][C]94.9392[/C][C]0.55582[/C][C]0.275013[/C][/ROW]
[ROW][C]64[/C][C]94.41[/C][C]94.4264[/C][C]95.0104[/C][C]-0.584023[/C][C]-0.0163932[/C][/ROW]
[ROW][C]65[/C][C]95.09[/C][C]95.2007[/C][C]95.1204[/C][C]0.0802995[/C][C]-0.110716[/C][/ROW]
[ROW][C]66[/C][C]95.37[/C][C]95.4161[/C][C]95.2992[/C][C]0.116966[/C][C]-0.0461328[/C][/ROW]
[ROW][C]67[/C][C]95.17[/C][C]95.3387[/C][C]95.4883[/C][C]-0.149648[/C][C]-0.168685[/C][/ROW]
[ROW][C]68[/C][C]95.05[/C][C]95.2912[/C][C]95.6754[/C][C]-0.384232[/C][C]-0.241185[/C][/ROW]
[ROW][C]69[/C][C]95.33[/C][C]95.5918[/C][C]95.8733[/C][C]-0.281576[/C][C]-0.261758[/C][/ROW]
[ROW][C]70[/C][C]95.42[/C][C]95.7504[/C][C]96.0929[/C][C]-0.342565[/C][C]-0.330352[/C][/ROW]
[ROW][C]71[/C][C]95.95[/C][C]96.057[/C][C]96.3558[/C][C]-0.298815[/C][C]-0.107018[/C][/ROW]
[ROW][C]72[/C][C]96.12[/C][C]96.654[/C][C]96.635[/C][C]0.0190495[/C][C]-0.534049[/C][/ROW]
[ROW][C]73[/C][C]96.94[/C][C]96.8179[/C][C]96.9137[/C][C]-0.0958464[/C][C]0.122096[/C][/ROW]
[ROW][C]74[/C][C]98.73[/C][C]98.5508[/C][C]97.1862[/C][C]1.36457[/C][C]0.17918[/C][/ROW]
[ROW][C]75[/C][C]98.03[/C][C]97.9992[/C][C]97.4433[/C][C]0.55582[/C][C]0.0308464[/C][/ROW]
[ROW][C]76[/C][C]97.42[/C][C]97.1022[/C][C]97.6862[/C][C]-0.584023[/C][C]0.317773[/C][/ROW]
[ROW][C]77[/C][C]98.39[/C][C]97.9986[/C][C]97.9183[/C][C]0.0802995[/C][C]0.391367[/C][/ROW]
[ROW][C]78[/C][C]98.77[/C][C]98.2657[/C][C]98.1487[/C][C]0.116966[/C][C]0.504284[/C][/ROW]
[ROW][C]79[/C][C]98.46[/C][C]98.1962[/C][C]98.3458[/C][C]-0.149648[/C][C]0.263815[/C][/ROW]
[ROW][C]80[/C][C]98.3[/C][C]98.1029[/C][C]98.4871[/C][C]-0.384232[/C][C]0.197148[/C][/ROW]
[ROW][C]81[/C][C]98.25[/C][C]98.3868[/C][C]98.6683[/C][C]-0.281576[/C][C]-0.136758[/C][/ROW]
[ROW][C]82[/C][C]98.33[/C][C]98.5037[/C][C]98.8463[/C][C]-0.342565[/C][C]-0.173685[/C][/ROW]
[ROW][C]83[/C][C]98.61[/C][C]98.667[/C][C]98.9658[/C][C]-0.298815[/C][C]-0.0570182[/C][/ROW]
[ROW][C]84[/C][C]98.99[/C][C]99.1136[/C][C]99.0946[/C][C]0.0190495[/C][C]-0.123633[/C][/ROW]
[ROW][C]85[/C][C]98.8[/C][C]99.1354[/C][C]99.2312[/C][C]-0.0958464[/C][C]-0.335404[/C][/ROW]
[ROW][C]86[/C][C]100.26[/C][C]100.725[/C][C]99.3608[/C][C]1.36457[/C][C]-0.465404[/C][/ROW]
[ROW][C]87[/C][C]100.85[/C][C]100.042[/C][C]99.4867[/C][C]0.55582[/C][C]0.807513[/C][/ROW]
[ROW][C]88[/C][C]98.87[/C][C]99.0314[/C][C]99.6154[/C][C]-0.584023[/C][C]-0.161393[/C][/ROW]
[ROW][C]89[/C][C]99.81[/C][C]99.8432[/C][C]99.7629[/C][C]0.0802995[/C][C]-0.0332161[/C][/ROW]
[ROW][C]90[/C][C]100.44[/C][C]100.04[/C][C]99.9229[/C][C]0.116966[/C][C]0.400117[/C][/ROW]
[ROW][C]91[/C][C]100.07[/C][C]99.9449[/C][C]100.095[/C][C]-0.149648[/C][C]0.125065[/C][/ROW]
[ROW][C]92[/C][C]99.8[/C][C]99.8474[/C][C]100.232[/C][C]-0.384232[/C][C]-0.0474349[/C][/ROW]
[ROW][C]93[/C][C]99.77[/C][C]100.018[/C][C]100.3[/C][C]-0.281576[/C][C]-0.248424[/C][/ROW]
[ROW][C]94[/C][C]99.9[/C][C]100.077[/C][C]100.419[/C][C]-0.342565[/C][C]-0.176602[/C][/ROW]
[ROW][C]95[/C][C]100.58[/C][C]100.28[/C][C]100.579[/C][C]-0.298815[/C][C]0.300065[/C][/ROW]
[ROW][C]96[/C][C]100.86[/C][C]100.688[/C][C]100.669[/C][C]0.0190495[/C][C]0.172201[/C][/ROW]
[ROW][C]97[/C][C]101.05[/C][C]100.627[/C][C]100.723[/C][C]-0.0958464[/C][C]0.422513[/C][/ROW]
[ROW][C]98[/C][C]101.3[/C][C]102.161[/C][C]100.797[/C][C]1.36457[/C][C]-0.861237[/C][/ROW]
[ROW][C]99[/C][C]101.45[/C][C]101.454[/C][C]100.898[/C][C]0.55582[/C][C]-0.00415365[/C][/ROW]
[ROW][C]100[/C][C]101.13[/C][C]100.433[/C][C]101.017[/C][C]-0.584023[/C][C]0.696523[/C][/ROW]
[ROW][C]101[/C][C]101.38[/C][C]101.182[/C][C]101.102[/C][C]0.0802995[/C][C]0.198034[/C][/ROW]
[ROW][C]102[/C][C]101.03[/C][C]101.258[/C][C]101.141[/C][C]0.116966[/C][C]-0.227799[/C][/ROW]
[ROW][C]103[/C][C]100.79[/C][C]NA[/C][C]NA[/C][C]-0.149648[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]100.84[/C][C]NA[/C][C]NA[/C][C]-0.384232[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]101.17[/C][C]NA[/C][C]NA[/C][C]-0.281576[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]101.36[/C][C]NA[/C][C]NA[/C][C]-0.342565[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]101.14[/C][C]NA[/C][C]NA[/C][C]-0.298815[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]101.24[/C][C]NA[/C][C]NA[/C][C]0.0190495[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284158&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284158&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
tObservationsFitTrendSeasonalRandom
188.52NANA-0.0958464NA
290.15NANA1.36457NA
388.63NANA0.55582NA
488.32NANA-0.584023NA
588.51NANA0.0802995NA
688.53NANA0.116966NA
788.3588.544188.6938-0.149648-0.194102
888.488.358788.7429-0.3842320.0413151
988.4188.521888.8033-0.281576-0.111758
1088.4788.509188.8517-0.342565-0.0391016
1188.4688.589588.8883-0.298815-0.129518
1289.2888.95788.93790.01904950.323034
1389.1188.913389.0092-0.09584640.19668
1490.7490.458389.09381.364570.28168
1589.4989.731289.17540.55582-0.241237
1688.6288.678989.2629-0.584023-0.0588932
1789.0989.43289.35170.0802995-0.341966
1889.1489.562889.44580.116966-0.422799
1989.4589.384989.5346-0.1496480.0650651
2089.3389.238789.6229-0.3842320.0913151
2189.4489.464389.7458-0.281576-0.0242578
2289.5489.503789.8462-0.3425650.0363151
2389.5289.636289.935-0.298815-0.116185
2490.4890.084590.06540.01904950.395534
2590.0490.095890.1917-0.0958464-0.0558203
2691.9391.673390.30881.364570.25668
2791.2591.001290.44540.555820.248763
2889.2790.019390.6033-0.584023-0.74931
2990.5790.852490.77210.0802995-0.282383
3090.7991.066590.94960.116966-0.276549
3190.8390.958791.1083-0.149648-0.128685
3290.7690.873791.2579-0.384232-0.113685
3391.2991.106891.3883-0.2815760.183242
3491.4891.210891.5533-0.3425650.269232
3591.6391.458791.7575-0.2988150.171315
3692.6391.96491.9450.01904950.665951
3791.792.037192.1329-0.0958464-0.33707
3893.8693.669292.30461.364570.190846
3992.4593.025892.470.55582-0.57582
4092.0392.04192.625-0.584023-0.0109766
4192.7192.848292.76790.0802995-0.138216
4293.1593.011192.89420.1169660.138867
4392.9892.871693.0213-0.1496480.108398
4492.7392.784593.1687-0.384232-0.0545182
4593.2993.02893.3096-0.2815760.261992
4693.293.094193.4367-0.3425650.105898
4793.3493.278393.5771-0.2988150.0617318
4893.9593.721593.70250.01904950.228451
4993.4393.697993.7938-0.0958464-0.267904
5095.6795.2693.89541.364570.410013
5194.0294.559294.00330.55582-0.539154
5293.5193.525694.1096-0.584023-0.0155599
5394.694.281194.20080.08029950.318867
5494.2794.338294.22120.116966-0.0682161
5594.0594.119194.2688-0.149648-0.0691016
5694.193.971294.3554-0.3842320.128815
5794.5194.170594.4521-0.2815760.339492
5894.5394.219994.5625-0.3425650.310065
5994.294.321694.6204-0.298815-0.121602
6093.5894.705794.68670.0190495-1.12572
6194.9494.683394.7792-0.09584640.25668
6296.2496.2394.86541.364570.010013
6395.7795.49594.93920.555820.275013
6494.4194.426495.0104-0.584023-0.0163932
6595.0995.200795.12040.0802995-0.110716
6695.3795.416195.29920.116966-0.0461328
6795.1795.338795.4883-0.149648-0.168685
6895.0595.291295.6754-0.384232-0.241185
6995.3395.591895.8733-0.281576-0.261758
7095.4295.750496.0929-0.342565-0.330352
7195.9596.05796.3558-0.298815-0.107018
7296.1296.65496.6350.0190495-0.534049
7396.9496.817996.9137-0.09584640.122096
7498.7398.550897.18621.364570.17918
7598.0397.999297.44330.555820.0308464
7697.4297.102297.6862-0.5840230.317773
7798.3997.998697.91830.08029950.391367
7898.7798.265798.14870.1169660.504284
7998.4698.196298.3458-0.1496480.263815
8098.398.102998.4871-0.3842320.197148
8198.2598.386898.6683-0.281576-0.136758
8298.3398.503798.8463-0.342565-0.173685
8398.6198.66798.9658-0.298815-0.0570182
8498.9999.113699.09460.0190495-0.123633
8598.899.135499.2312-0.0958464-0.335404
86100.26100.72599.36081.36457-0.465404
87100.85100.04299.48670.555820.807513
8898.8799.031499.6154-0.584023-0.161393
8999.8199.843299.76290.0802995-0.0332161
90100.44100.0499.92290.1169660.400117
91100.0799.9449100.095-0.1496480.125065
9299.899.8474100.232-0.384232-0.0474349
9399.77100.018100.3-0.281576-0.248424
9499.9100.077100.419-0.342565-0.176602
95100.58100.28100.579-0.2988150.300065
96100.86100.688100.6690.01904950.172201
97101.05100.627100.723-0.09584640.422513
98101.3102.161100.7971.36457-0.861237
99101.45101.454100.8980.55582-0.00415365
100101.13100.433101.017-0.5840230.696523
101101.38101.182101.1020.08029950.198034
102101.03101.258101.1410.116966-0.227799
103100.79NANA-0.149648NA
104100.84NANA-0.384232NA
105101.17NANA-0.281576NA
106101.36NANA-0.342565NA
107101.14NANA-0.298815NA
108101.24NANA0.0190495NA



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 <- 'multiplicative'
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')