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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 22:08:25 +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/t1448489396qxef6bc0ut4qc9a.htm/, Retrieved Thu, 16 May 2024 00:59:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284166, Retrieved Thu, 16 May 2024 00:59:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-25 22:08:25] [0bbe3141369311cb51cf1cd235842853] [Current]
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Dataseries X:
76.93
79.32
79.35
80.94
80.13
81.38
81.1
81.53
80.46
79.71
78.66
79.96
80.64
81.8
81.06
81.67
79.72
81.28
81.36
85.26
90
93
95.62
102.15
105.73
109.79
113.77
114.3
114.76
113.69
113.88
114.47
112.57
114.43
112.7
113.48
113.05
112.22
111.44
111.67
111.91
111.7
104.26
101.13
98.55
97.06
96.22
95.15
94.54
94.29
93.98
93.76
94.16
93.83
93.97
94.19
94.14
94.24
94.27
94.21
93.45
95.84
98.59
97
96.45
96.48
96.1
95.49
95.85
95.85
98.52
101.77
101.2
102.85
102.98
102.87
100.48
97.59
97.55
99.06
100.43
102.93
104.22
105.26
105.44
106.97
105.82
104.4
102.03
100.17
98.01
96.49
95.63
95.4
94.97
94.68
95.87
94.99
94.65
94.35
94.1
94.21
95.2
95.55
95.68
95.27
95.3
95.93




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284166&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284166&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284166&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'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
176.93NANA0.663442NA
279.32NANA1.62073NA
379.35NANA1.91094NA
480.94NANA1.46688NA
580.13NANA0.497921NA
681.38NANA-0.254423NA
781.178.726280.1104-1.384272.37385
881.5378.977680.3683-1.390782.55244
980.4678.992180.5429-1.550831.46791
1079.7179.56880.6446-1.076610.142027
1178.6679.758780.6579-0.899214-1.0987
1279.9681.032980.63670.396202-1.07287
1380.6481.306880.64330.663442-0.666775
1481.882.430380.80961.62073-0.630317
1581.0683.273481.36251.91094-2.21344
1681.6783.780682.31371.46688-2.11063
1779.7284.072183.57420.497921-4.35209
1881.2884.95185.2054-0.254423-3.67099
1981.3685.791287.1754-1.38427-4.43115
2085.2687.996389.3871-1.39078-2.73631
219090.365491.9162-1.55083-0.365421
229393.562194.6388-1.07661-0.56214
2395.6296.559197.4583-0.899214-0.939119
24102.15100.665100.2690.3962021.48505
25105.73103.638102.9740.6634422.09239
26109.79107.167105.5461.620732.62302
27113.77109.615107.7041.910944.15531
28114.3111.004109.5371.466883.29604
29114.76111.64111.1420.4979213.12041
30113.69112.071112.325-0.2544231.61901
31113.88111.718113.102-1.384272.16177
32114.47112.118113.509-1.390782.35203
33112.57111.962113.513-1.550830.607912
34114.43112.23113.306-1.076612.20036
35112.7112.179113.078-0.8992140.521298
36113.48113.272112.8760.3962020.207548
37113.05113.056112.3920.663442-0.00594184
38112.22113.057111.4361.62073-0.836567
39111.44112.207110.2961.91094-0.766775
40111.67110.455108.9881.466881.2152
41111.91108.075107.5770.4979213.83458
42111.7105.873106.127-0.2544235.82734
43104.26103.208104.592-1.384271.05218
44101.13101.683103.074-1.39078-0.552973
4598.55100.048101.599-1.55083-1.49834
4697.0699.0488100.125-1.07661-1.98881
4796.2297.740498.6396-0.899214-1.52037
4895.1597.551697.15540.396202-2.40162
4994.5496.645595.98210.663442-2.10553
5094.2996.884995.26421.62073-2.5949
5193.9896.702294.79121.91094-2.72219
5293.7695.956994.491.46688-2.19688
5394.1694.789294.29120.497921-0.629171
5493.8393.916494.1708-0.254423-0.0864106
5593.9792.70294.0862-1.384271.26802
5694.1992.714694.1054-1.390781.47536
5794.1492.811394.3621-1.550831.32875
5894.2493.612694.6892-1.076610.627444
5994.2794.020494.9196-0.8992140.249631
6094.2195.521695.12540.396202-1.31162
6193.4595.98895.32460.663442-2.53803
6295.8497.088295.46751.62073-1.24823
6398.5997.503995.59291.910941.08614
649797.198195.73121.46688-0.198129
6596.4596.473395.97540.497921-0.0233377
6696.4896.213196.4675-0.2544230.266923
6796.195.721297.1054-1.384270.37885
6895.4996.329697.7204-1.39078-0.83964
6995.8596.644698.1954-1.55083-0.794588
7095.8597.546398.6229-1.07661-1.69631
7198.5298.136299.0354-0.8992140.383798
72101.7799.645899.24960.3962022.12421
73101.2100.0299.35620.6634421.18031
74102.85101.18699.56541.620731.66385
75102.98101.81699.9051.910941.16406
76102.87101.858100.3911.466881.01229
77100.48101.421100.9230.497921-0.941254
7897.59101.052101.306-0.254423-3.46183
7997.55100.244101.628-1.38427-2.69407
8099.06100.586101.977-1.39078-1.52589
81100.43100.716102.267-1.55083-0.285838
82102.93101.372102.449-1.076611.55786
83104.22101.678102.577-0.8992142.54213
84105.26103.145102.7490.3962022.11463
85105.44103.539102.8760.6634421.90072
86106.97104.409102.7881.620732.56135
87105.82104.392102.4811.910941.42822
88104.4103.434101.9671.466880.966037
89102.03101.766101.2680.4979210.264162
90100.17100.187100.442-0.254423-0.0172439
9198.0198.217899.6021-1.38427-0.207817
9296.4997.313498.7042-1.39078-0.82339
9395.6396.188897.7396-1.55083-0.558754
9495.495.778896.8554-1.07661-0.378806
9594.9795.20796.1062-0.899214-0.237036
9694.6895.923795.52750.396202-1.2437
9795.8795.825595.16210.6634420.0444748
9894.9996.626695.00581.62073-1.63657
9994.6596.879794.96881.91094-2.22969
10094.3596.432394.96541.46688-2.0823
10194.195.471794.97380.497921-1.37167
10294.2194.785295.0396-0.254423-0.575161
10395.2NANA-1.38427NA
10495.55NANA-1.39078NA
10595.68NANA-1.55083NA
10695.27NANA-1.07661NA
10795.3NANA-0.899214NA
10895.93NANA0.396202NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 76.93 & NA & NA & 0.663442 & NA \tabularnewline
2 & 79.32 & NA & NA & 1.62073 & NA \tabularnewline
3 & 79.35 & NA & NA & 1.91094 & NA \tabularnewline
4 & 80.94 & NA & NA & 1.46688 & NA \tabularnewline
5 & 80.13 & NA & NA & 0.497921 & NA \tabularnewline
6 & 81.38 & NA & NA & -0.254423 & NA \tabularnewline
7 & 81.1 & 78.7262 & 80.1104 & -1.38427 & 2.37385 \tabularnewline
8 & 81.53 & 78.9776 & 80.3683 & -1.39078 & 2.55244 \tabularnewline
9 & 80.46 & 78.9921 & 80.5429 & -1.55083 & 1.46791 \tabularnewline
10 & 79.71 & 79.568 & 80.6446 & -1.07661 & 0.142027 \tabularnewline
11 & 78.66 & 79.7587 & 80.6579 & -0.899214 & -1.0987 \tabularnewline
12 & 79.96 & 81.0329 & 80.6367 & 0.396202 & -1.07287 \tabularnewline
13 & 80.64 & 81.3068 & 80.6433 & 0.663442 & -0.666775 \tabularnewline
14 & 81.8 & 82.4303 & 80.8096 & 1.62073 & -0.630317 \tabularnewline
15 & 81.06 & 83.2734 & 81.3625 & 1.91094 & -2.21344 \tabularnewline
16 & 81.67 & 83.7806 & 82.3137 & 1.46688 & -2.11063 \tabularnewline
17 & 79.72 & 84.0721 & 83.5742 & 0.497921 & -4.35209 \tabularnewline
18 & 81.28 & 84.951 & 85.2054 & -0.254423 & -3.67099 \tabularnewline
19 & 81.36 & 85.7912 & 87.1754 & -1.38427 & -4.43115 \tabularnewline
20 & 85.26 & 87.9963 & 89.3871 & -1.39078 & -2.73631 \tabularnewline
21 & 90 & 90.3654 & 91.9162 & -1.55083 & -0.365421 \tabularnewline
22 & 93 & 93.5621 & 94.6388 & -1.07661 & -0.56214 \tabularnewline
23 & 95.62 & 96.5591 & 97.4583 & -0.899214 & -0.939119 \tabularnewline
24 & 102.15 & 100.665 & 100.269 & 0.396202 & 1.48505 \tabularnewline
25 & 105.73 & 103.638 & 102.974 & 0.663442 & 2.09239 \tabularnewline
26 & 109.79 & 107.167 & 105.546 & 1.62073 & 2.62302 \tabularnewline
27 & 113.77 & 109.615 & 107.704 & 1.91094 & 4.15531 \tabularnewline
28 & 114.3 & 111.004 & 109.537 & 1.46688 & 3.29604 \tabularnewline
29 & 114.76 & 111.64 & 111.142 & 0.497921 & 3.12041 \tabularnewline
30 & 113.69 & 112.071 & 112.325 & -0.254423 & 1.61901 \tabularnewline
31 & 113.88 & 111.718 & 113.102 & -1.38427 & 2.16177 \tabularnewline
32 & 114.47 & 112.118 & 113.509 & -1.39078 & 2.35203 \tabularnewline
33 & 112.57 & 111.962 & 113.513 & -1.55083 & 0.607912 \tabularnewline
34 & 114.43 & 112.23 & 113.306 & -1.07661 & 2.20036 \tabularnewline
35 & 112.7 & 112.179 & 113.078 & -0.899214 & 0.521298 \tabularnewline
36 & 113.48 & 113.272 & 112.876 & 0.396202 & 0.207548 \tabularnewline
37 & 113.05 & 113.056 & 112.392 & 0.663442 & -0.00594184 \tabularnewline
38 & 112.22 & 113.057 & 111.436 & 1.62073 & -0.836567 \tabularnewline
39 & 111.44 & 112.207 & 110.296 & 1.91094 & -0.766775 \tabularnewline
40 & 111.67 & 110.455 & 108.988 & 1.46688 & 1.2152 \tabularnewline
41 & 111.91 & 108.075 & 107.577 & 0.497921 & 3.83458 \tabularnewline
42 & 111.7 & 105.873 & 106.127 & -0.254423 & 5.82734 \tabularnewline
43 & 104.26 & 103.208 & 104.592 & -1.38427 & 1.05218 \tabularnewline
44 & 101.13 & 101.683 & 103.074 & -1.39078 & -0.552973 \tabularnewline
45 & 98.55 & 100.048 & 101.599 & -1.55083 & -1.49834 \tabularnewline
46 & 97.06 & 99.0488 & 100.125 & -1.07661 & -1.98881 \tabularnewline
47 & 96.22 & 97.7404 & 98.6396 & -0.899214 & -1.52037 \tabularnewline
48 & 95.15 & 97.5516 & 97.1554 & 0.396202 & -2.40162 \tabularnewline
49 & 94.54 & 96.6455 & 95.9821 & 0.663442 & -2.10553 \tabularnewline
50 & 94.29 & 96.8849 & 95.2642 & 1.62073 & -2.5949 \tabularnewline
51 & 93.98 & 96.7022 & 94.7912 & 1.91094 & -2.72219 \tabularnewline
52 & 93.76 & 95.9569 & 94.49 & 1.46688 & -2.19688 \tabularnewline
53 & 94.16 & 94.7892 & 94.2912 & 0.497921 & -0.629171 \tabularnewline
54 & 93.83 & 93.9164 & 94.1708 & -0.254423 & -0.0864106 \tabularnewline
55 & 93.97 & 92.702 & 94.0862 & -1.38427 & 1.26802 \tabularnewline
56 & 94.19 & 92.7146 & 94.1054 & -1.39078 & 1.47536 \tabularnewline
57 & 94.14 & 92.8113 & 94.3621 & -1.55083 & 1.32875 \tabularnewline
58 & 94.24 & 93.6126 & 94.6892 & -1.07661 & 0.627444 \tabularnewline
59 & 94.27 & 94.0204 & 94.9196 & -0.899214 & 0.249631 \tabularnewline
60 & 94.21 & 95.5216 & 95.1254 & 0.396202 & -1.31162 \tabularnewline
61 & 93.45 & 95.988 & 95.3246 & 0.663442 & -2.53803 \tabularnewline
62 & 95.84 & 97.0882 & 95.4675 & 1.62073 & -1.24823 \tabularnewline
63 & 98.59 & 97.5039 & 95.5929 & 1.91094 & 1.08614 \tabularnewline
64 & 97 & 97.1981 & 95.7312 & 1.46688 & -0.198129 \tabularnewline
65 & 96.45 & 96.4733 & 95.9754 & 0.497921 & -0.0233377 \tabularnewline
66 & 96.48 & 96.2131 & 96.4675 & -0.254423 & 0.266923 \tabularnewline
67 & 96.1 & 95.7212 & 97.1054 & -1.38427 & 0.37885 \tabularnewline
68 & 95.49 & 96.3296 & 97.7204 & -1.39078 & -0.83964 \tabularnewline
69 & 95.85 & 96.6446 & 98.1954 & -1.55083 & -0.794588 \tabularnewline
70 & 95.85 & 97.5463 & 98.6229 & -1.07661 & -1.69631 \tabularnewline
71 & 98.52 & 98.1362 & 99.0354 & -0.899214 & 0.383798 \tabularnewline
72 & 101.77 & 99.6458 & 99.2496 & 0.396202 & 2.12421 \tabularnewline
73 & 101.2 & 100.02 & 99.3562 & 0.663442 & 1.18031 \tabularnewline
74 & 102.85 & 101.186 & 99.5654 & 1.62073 & 1.66385 \tabularnewline
75 & 102.98 & 101.816 & 99.905 & 1.91094 & 1.16406 \tabularnewline
76 & 102.87 & 101.858 & 100.391 & 1.46688 & 1.01229 \tabularnewline
77 & 100.48 & 101.421 & 100.923 & 0.497921 & -0.941254 \tabularnewline
78 & 97.59 & 101.052 & 101.306 & -0.254423 & -3.46183 \tabularnewline
79 & 97.55 & 100.244 & 101.628 & -1.38427 & -2.69407 \tabularnewline
80 & 99.06 & 100.586 & 101.977 & -1.39078 & -1.52589 \tabularnewline
81 & 100.43 & 100.716 & 102.267 & -1.55083 & -0.285838 \tabularnewline
82 & 102.93 & 101.372 & 102.449 & -1.07661 & 1.55786 \tabularnewline
83 & 104.22 & 101.678 & 102.577 & -0.899214 & 2.54213 \tabularnewline
84 & 105.26 & 103.145 & 102.749 & 0.396202 & 2.11463 \tabularnewline
85 & 105.44 & 103.539 & 102.876 & 0.663442 & 1.90072 \tabularnewline
86 & 106.97 & 104.409 & 102.788 & 1.62073 & 2.56135 \tabularnewline
87 & 105.82 & 104.392 & 102.481 & 1.91094 & 1.42822 \tabularnewline
88 & 104.4 & 103.434 & 101.967 & 1.46688 & 0.966037 \tabularnewline
89 & 102.03 & 101.766 & 101.268 & 0.497921 & 0.264162 \tabularnewline
90 & 100.17 & 100.187 & 100.442 & -0.254423 & -0.0172439 \tabularnewline
91 & 98.01 & 98.2178 & 99.6021 & -1.38427 & -0.207817 \tabularnewline
92 & 96.49 & 97.3134 & 98.7042 & -1.39078 & -0.82339 \tabularnewline
93 & 95.63 & 96.1888 & 97.7396 & -1.55083 & -0.558754 \tabularnewline
94 & 95.4 & 95.7788 & 96.8554 & -1.07661 & -0.378806 \tabularnewline
95 & 94.97 & 95.207 & 96.1062 & -0.899214 & -0.237036 \tabularnewline
96 & 94.68 & 95.9237 & 95.5275 & 0.396202 & -1.2437 \tabularnewline
97 & 95.87 & 95.8255 & 95.1621 & 0.663442 & 0.0444748 \tabularnewline
98 & 94.99 & 96.6266 & 95.0058 & 1.62073 & -1.63657 \tabularnewline
99 & 94.65 & 96.8797 & 94.9688 & 1.91094 & -2.22969 \tabularnewline
100 & 94.35 & 96.4323 & 94.9654 & 1.46688 & -2.0823 \tabularnewline
101 & 94.1 & 95.4717 & 94.9738 & 0.497921 & -1.37167 \tabularnewline
102 & 94.21 & 94.7852 & 95.0396 & -0.254423 & -0.575161 \tabularnewline
103 & 95.2 & NA & NA & -1.38427 & NA \tabularnewline
104 & 95.55 & NA & NA & -1.39078 & NA \tabularnewline
105 & 95.68 & NA & NA & -1.55083 & NA \tabularnewline
106 & 95.27 & NA & NA & -1.07661 & NA \tabularnewline
107 & 95.3 & NA & NA & -0.899214 & NA \tabularnewline
108 & 95.93 & NA & NA & 0.396202 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284166&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]76.93[/C][C]NA[/C][C]NA[/C][C]0.663442[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]79.32[/C][C]NA[/C][C]NA[/C][C]1.62073[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]79.35[/C][C]NA[/C][C]NA[/C][C]1.91094[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]80.94[/C][C]NA[/C][C]NA[/C][C]1.46688[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]80.13[/C][C]NA[/C][C]NA[/C][C]0.497921[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]81.38[/C][C]NA[/C][C]NA[/C][C]-0.254423[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]81.1[/C][C]78.7262[/C][C]80.1104[/C][C]-1.38427[/C][C]2.37385[/C][/ROW]
[ROW][C]8[/C][C]81.53[/C][C]78.9776[/C][C]80.3683[/C][C]-1.39078[/C][C]2.55244[/C][/ROW]
[ROW][C]9[/C][C]80.46[/C][C]78.9921[/C][C]80.5429[/C][C]-1.55083[/C][C]1.46791[/C][/ROW]
[ROW][C]10[/C][C]79.71[/C][C]79.568[/C][C]80.6446[/C][C]-1.07661[/C][C]0.142027[/C][/ROW]
[ROW][C]11[/C][C]78.66[/C][C]79.7587[/C][C]80.6579[/C][C]-0.899214[/C][C]-1.0987[/C][/ROW]
[ROW][C]12[/C][C]79.96[/C][C]81.0329[/C][C]80.6367[/C][C]0.396202[/C][C]-1.07287[/C][/ROW]
[ROW][C]13[/C][C]80.64[/C][C]81.3068[/C][C]80.6433[/C][C]0.663442[/C][C]-0.666775[/C][/ROW]
[ROW][C]14[/C][C]81.8[/C][C]82.4303[/C][C]80.8096[/C][C]1.62073[/C][C]-0.630317[/C][/ROW]
[ROW][C]15[/C][C]81.06[/C][C]83.2734[/C][C]81.3625[/C][C]1.91094[/C][C]-2.21344[/C][/ROW]
[ROW][C]16[/C][C]81.67[/C][C]83.7806[/C][C]82.3137[/C][C]1.46688[/C][C]-2.11063[/C][/ROW]
[ROW][C]17[/C][C]79.72[/C][C]84.0721[/C][C]83.5742[/C][C]0.497921[/C][C]-4.35209[/C][/ROW]
[ROW][C]18[/C][C]81.28[/C][C]84.951[/C][C]85.2054[/C][C]-0.254423[/C][C]-3.67099[/C][/ROW]
[ROW][C]19[/C][C]81.36[/C][C]85.7912[/C][C]87.1754[/C][C]-1.38427[/C][C]-4.43115[/C][/ROW]
[ROW][C]20[/C][C]85.26[/C][C]87.9963[/C][C]89.3871[/C][C]-1.39078[/C][C]-2.73631[/C][/ROW]
[ROW][C]21[/C][C]90[/C][C]90.3654[/C][C]91.9162[/C][C]-1.55083[/C][C]-0.365421[/C][/ROW]
[ROW][C]22[/C][C]93[/C][C]93.5621[/C][C]94.6388[/C][C]-1.07661[/C][C]-0.56214[/C][/ROW]
[ROW][C]23[/C][C]95.62[/C][C]96.5591[/C][C]97.4583[/C][C]-0.899214[/C][C]-0.939119[/C][/ROW]
[ROW][C]24[/C][C]102.15[/C][C]100.665[/C][C]100.269[/C][C]0.396202[/C][C]1.48505[/C][/ROW]
[ROW][C]25[/C][C]105.73[/C][C]103.638[/C][C]102.974[/C][C]0.663442[/C][C]2.09239[/C][/ROW]
[ROW][C]26[/C][C]109.79[/C][C]107.167[/C][C]105.546[/C][C]1.62073[/C][C]2.62302[/C][/ROW]
[ROW][C]27[/C][C]113.77[/C][C]109.615[/C][C]107.704[/C][C]1.91094[/C][C]4.15531[/C][/ROW]
[ROW][C]28[/C][C]114.3[/C][C]111.004[/C][C]109.537[/C][C]1.46688[/C][C]3.29604[/C][/ROW]
[ROW][C]29[/C][C]114.76[/C][C]111.64[/C][C]111.142[/C][C]0.497921[/C][C]3.12041[/C][/ROW]
[ROW][C]30[/C][C]113.69[/C][C]112.071[/C][C]112.325[/C][C]-0.254423[/C][C]1.61901[/C][/ROW]
[ROW][C]31[/C][C]113.88[/C][C]111.718[/C][C]113.102[/C][C]-1.38427[/C][C]2.16177[/C][/ROW]
[ROW][C]32[/C][C]114.47[/C][C]112.118[/C][C]113.509[/C][C]-1.39078[/C][C]2.35203[/C][/ROW]
[ROW][C]33[/C][C]112.57[/C][C]111.962[/C][C]113.513[/C][C]-1.55083[/C][C]0.607912[/C][/ROW]
[ROW][C]34[/C][C]114.43[/C][C]112.23[/C][C]113.306[/C][C]-1.07661[/C][C]2.20036[/C][/ROW]
[ROW][C]35[/C][C]112.7[/C][C]112.179[/C][C]113.078[/C][C]-0.899214[/C][C]0.521298[/C][/ROW]
[ROW][C]36[/C][C]113.48[/C][C]113.272[/C][C]112.876[/C][C]0.396202[/C][C]0.207548[/C][/ROW]
[ROW][C]37[/C][C]113.05[/C][C]113.056[/C][C]112.392[/C][C]0.663442[/C][C]-0.00594184[/C][/ROW]
[ROW][C]38[/C][C]112.22[/C][C]113.057[/C][C]111.436[/C][C]1.62073[/C][C]-0.836567[/C][/ROW]
[ROW][C]39[/C][C]111.44[/C][C]112.207[/C][C]110.296[/C][C]1.91094[/C][C]-0.766775[/C][/ROW]
[ROW][C]40[/C][C]111.67[/C][C]110.455[/C][C]108.988[/C][C]1.46688[/C][C]1.2152[/C][/ROW]
[ROW][C]41[/C][C]111.91[/C][C]108.075[/C][C]107.577[/C][C]0.497921[/C][C]3.83458[/C][/ROW]
[ROW][C]42[/C][C]111.7[/C][C]105.873[/C][C]106.127[/C][C]-0.254423[/C][C]5.82734[/C][/ROW]
[ROW][C]43[/C][C]104.26[/C][C]103.208[/C][C]104.592[/C][C]-1.38427[/C][C]1.05218[/C][/ROW]
[ROW][C]44[/C][C]101.13[/C][C]101.683[/C][C]103.074[/C][C]-1.39078[/C][C]-0.552973[/C][/ROW]
[ROW][C]45[/C][C]98.55[/C][C]100.048[/C][C]101.599[/C][C]-1.55083[/C][C]-1.49834[/C][/ROW]
[ROW][C]46[/C][C]97.06[/C][C]99.0488[/C][C]100.125[/C][C]-1.07661[/C][C]-1.98881[/C][/ROW]
[ROW][C]47[/C][C]96.22[/C][C]97.7404[/C][C]98.6396[/C][C]-0.899214[/C][C]-1.52037[/C][/ROW]
[ROW][C]48[/C][C]95.15[/C][C]97.5516[/C][C]97.1554[/C][C]0.396202[/C][C]-2.40162[/C][/ROW]
[ROW][C]49[/C][C]94.54[/C][C]96.6455[/C][C]95.9821[/C][C]0.663442[/C][C]-2.10553[/C][/ROW]
[ROW][C]50[/C][C]94.29[/C][C]96.8849[/C][C]95.2642[/C][C]1.62073[/C][C]-2.5949[/C][/ROW]
[ROW][C]51[/C][C]93.98[/C][C]96.7022[/C][C]94.7912[/C][C]1.91094[/C][C]-2.72219[/C][/ROW]
[ROW][C]52[/C][C]93.76[/C][C]95.9569[/C][C]94.49[/C][C]1.46688[/C][C]-2.19688[/C][/ROW]
[ROW][C]53[/C][C]94.16[/C][C]94.7892[/C][C]94.2912[/C][C]0.497921[/C][C]-0.629171[/C][/ROW]
[ROW][C]54[/C][C]93.83[/C][C]93.9164[/C][C]94.1708[/C][C]-0.254423[/C][C]-0.0864106[/C][/ROW]
[ROW][C]55[/C][C]93.97[/C][C]92.702[/C][C]94.0862[/C][C]-1.38427[/C][C]1.26802[/C][/ROW]
[ROW][C]56[/C][C]94.19[/C][C]92.7146[/C][C]94.1054[/C][C]-1.39078[/C][C]1.47536[/C][/ROW]
[ROW][C]57[/C][C]94.14[/C][C]92.8113[/C][C]94.3621[/C][C]-1.55083[/C][C]1.32875[/C][/ROW]
[ROW][C]58[/C][C]94.24[/C][C]93.6126[/C][C]94.6892[/C][C]-1.07661[/C][C]0.627444[/C][/ROW]
[ROW][C]59[/C][C]94.27[/C][C]94.0204[/C][C]94.9196[/C][C]-0.899214[/C][C]0.249631[/C][/ROW]
[ROW][C]60[/C][C]94.21[/C][C]95.5216[/C][C]95.1254[/C][C]0.396202[/C][C]-1.31162[/C][/ROW]
[ROW][C]61[/C][C]93.45[/C][C]95.988[/C][C]95.3246[/C][C]0.663442[/C][C]-2.53803[/C][/ROW]
[ROW][C]62[/C][C]95.84[/C][C]97.0882[/C][C]95.4675[/C][C]1.62073[/C][C]-1.24823[/C][/ROW]
[ROW][C]63[/C][C]98.59[/C][C]97.5039[/C][C]95.5929[/C][C]1.91094[/C][C]1.08614[/C][/ROW]
[ROW][C]64[/C][C]97[/C][C]97.1981[/C][C]95.7312[/C][C]1.46688[/C][C]-0.198129[/C][/ROW]
[ROW][C]65[/C][C]96.45[/C][C]96.4733[/C][C]95.9754[/C][C]0.497921[/C][C]-0.0233377[/C][/ROW]
[ROW][C]66[/C][C]96.48[/C][C]96.2131[/C][C]96.4675[/C][C]-0.254423[/C][C]0.266923[/C][/ROW]
[ROW][C]67[/C][C]96.1[/C][C]95.7212[/C][C]97.1054[/C][C]-1.38427[/C][C]0.37885[/C][/ROW]
[ROW][C]68[/C][C]95.49[/C][C]96.3296[/C][C]97.7204[/C][C]-1.39078[/C][C]-0.83964[/C][/ROW]
[ROW][C]69[/C][C]95.85[/C][C]96.6446[/C][C]98.1954[/C][C]-1.55083[/C][C]-0.794588[/C][/ROW]
[ROW][C]70[/C][C]95.85[/C][C]97.5463[/C][C]98.6229[/C][C]-1.07661[/C][C]-1.69631[/C][/ROW]
[ROW][C]71[/C][C]98.52[/C][C]98.1362[/C][C]99.0354[/C][C]-0.899214[/C][C]0.383798[/C][/ROW]
[ROW][C]72[/C][C]101.77[/C][C]99.6458[/C][C]99.2496[/C][C]0.396202[/C][C]2.12421[/C][/ROW]
[ROW][C]73[/C][C]101.2[/C][C]100.02[/C][C]99.3562[/C][C]0.663442[/C][C]1.18031[/C][/ROW]
[ROW][C]74[/C][C]102.85[/C][C]101.186[/C][C]99.5654[/C][C]1.62073[/C][C]1.66385[/C][/ROW]
[ROW][C]75[/C][C]102.98[/C][C]101.816[/C][C]99.905[/C][C]1.91094[/C][C]1.16406[/C][/ROW]
[ROW][C]76[/C][C]102.87[/C][C]101.858[/C][C]100.391[/C][C]1.46688[/C][C]1.01229[/C][/ROW]
[ROW][C]77[/C][C]100.48[/C][C]101.421[/C][C]100.923[/C][C]0.497921[/C][C]-0.941254[/C][/ROW]
[ROW][C]78[/C][C]97.59[/C][C]101.052[/C][C]101.306[/C][C]-0.254423[/C][C]-3.46183[/C][/ROW]
[ROW][C]79[/C][C]97.55[/C][C]100.244[/C][C]101.628[/C][C]-1.38427[/C][C]-2.69407[/C][/ROW]
[ROW][C]80[/C][C]99.06[/C][C]100.586[/C][C]101.977[/C][C]-1.39078[/C][C]-1.52589[/C][/ROW]
[ROW][C]81[/C][C]100.43[/C][C]100.716[/C][C]102.267[/C][C]-1.55083[/C][C]-0.285838[/C][/ROW]
[ROW][C]82[/C][C]102.93[/C][C]101.372[/C][C]102.449[/C][C]-1.07661[/C][C]1.55786[/C][/ROW]
[ROW][C]83[/C][C]104.22[/C][C]101.678[/C][C]102.577[/C][C]-0.899214[/C][C]2.54213[/C][/ROW]
[ROW][C]84[/C][C]105.26[/C][C]103.145[/C][C]102.749[/C][C]0.396202[/C][C]2.11463[/C][/ROW]
[ROW][C]85[/C][C]105.44[/C][C]103.539[/C][C]102.876[/C][C]0.663442[/C][C]1.90072[/C][/ROW]
[ROW][C]86[/C][C]106.97[/C][C]104.409[/C][C]102.788[/C][C]1.62073[/C][C]2.56135[/C][/ROW]
[ROW][C]87[/C][C]105.82[/C][C]104.392[/C][C]102.481[/C][C]1.91094[/C][C]1.42822[/C][/ROW]
[ROW][C]88[/C][C]104.4[/C][C]103.434[/C][C]101.967[/C][C]1.46688[/C][C]0.966037[/C][/ROW]
[ROW][C]89[/C][C]102.03[/C][C]101.766[/C][C]101.268[/C][C]0.497921[/C][C]0.264162[/C][/ROW]
[ROW][C]90[/C][C]100.17[/C][C]100.187[/C][C]100.442[/C][C]-0.254423[/C][C]-0.0172439[/C][/ROW]
[ROW][C]91[/C][C]98.01[/C][C]98.2178[/C][C]99.6021[/C][C]-1.38427[/C][C]-0.207817[/C][/ROW]
[ROW][C]92[/C][C]96.49[/C][C]97.3134[/C][C]98.7042[/C][C]-1.39078[/C][C]-0.82339[/C][/ROW]
[ROW][C]93[/C][C]95.63[/C][C]96.1888[/C][C]97.7396[/C][C]-1.55083[/C][C]-0.558754[/C][/ROW]
[ROW][C]94[/C][C]95.4[/C][C]95.7788[/C][C]96.8554[/C][C]-1.07661[/C][C]-0.378806[/C][/ROW]
[ROW][C]95[/C][C]94.97[/C][C]95.207[/C][C]96.1062[/C][C]-0.899214[/C][C]-0.237036[/C][/ROW]
[ROW][C]96[/C][C]94.68[/C][C]95.9237[/C][C]95.5275[/C][C]0.396202[/C][C]-1.2437[/C][/ROW]
[ROW][C]97[/C][C]95.87[/C][C]95.8255[/C][C]95.1621[/C][C]0.663442[/C][C]0.0444748[/C][/ROW]
[ROW][C]98[/C][C]94.99[/C][C]96.6266[/C][C]95.0058[/C][C]1.62073[/C][C]-1.63657[/C][/ROW]
[ROW][C]99[/C][C]94.65[/C][C]96.8797[/C][C]94.9688[/C][C]1.91094[/C][C]-2.22969[/C][/ROW]
[ROW][C]100[/C][C]94.35[/C][C]96.4323[/C][C]94.9654[/C][C]1.46688[/C][C]-2.0823[/C][/ROW]
[ROW][C]101[/C][C]94.1[/C][C]95.4717[/C][C]94.9738[/C][C]0.497921[/C][C]-1.37167[/C][/ROW]
[ROW][C]102[/C][C]94.21[/C][C]94.7852[/C][C]95.0396[/C][C]-0.254423[/C][C]-0.575161[/C][/ROW]
[ROW][C]103[/C][C]95.2[/C][C]NA[/C][C]NA[/C][C]-1.38427[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]95.55[/C][C]NA[/C][C]NA[/C][C]-1.39078[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]95.68[/C][C]NA[/C][C]NA[/C][C]-1.55083[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]95.27[/C][C]NA[/C][C]NA[/C][C]-1.07661[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]95.3[/C][C]NA[/C][C]NA[/C][C]-0.899214[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]95.93[/C][C]NA[/C][C]NA[/C][C]0.396202[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284166&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284166&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
176.93NANA0.663442NA
279.32NANA1.62073NA
379.35NANA1.91094NA
480.94NANA1.46688NA
580.13NANA0.497921NA
681.38NANA-0.254423NA
781.178.726280.1104-1.384272.37385
881.5378.977680.3683-1.390782.55244
980.4678.992180.5429-1.550831.46791
1079.7179.56880.6446-1.076610.142027
1178.6679.758780.6579-0.899214-1.0987
1279.9681.032980.63670.396202-1.07287
1380.6481.306880.64330.663442-0.666775
1481.882.430380.80961.62073-0.630317
1581.0683.273481.36251.91094-2.21344
1681.6783.780682.31371.46688-2.11063
1779.7284.072183.57420.497921-4.35209
1881.2884.95185.2054-0.254423-3.67099
1981.3685.791287.1754-1.38427-4.43115
2085.2687.996389.3871-1.39078-2.73631
219090.365491.9162-1.55083-0.365421
229393.562194.6388-1.07661-0.56214
2395.6296.559197.4583-0.899214-0.939119
24102.15100.665100.2690.3962021.48505
25105.73103.638102.9740.6634422.09239
26109.79107.167105.5461.620732.62302
27113.77109.615107.7041.910944.15531
28114.3111.004109.5371.466883.29604
29114.76111.64111.1420.4979213.12041
30113.69112.071112.325-0.2544231.61901
31113.88111.718113.102-1.384272.16177
32114.47112.118113.509-1.390782.35203
33112.57111.962113.513-1.550830.607912
34114.43112.23113.306-1.076612.20036
35112.7112.179113.078-0.8992140.521298
36113.48113.272112.8760.3962020.207548
37113.05113.056112.3920.663442-0.00594184
38112.22113.057111.4361.62073-0.836567
39111.44112.207110.2961.91094-0.766775
40111.67110.455108.9881.466881.2152
41111.91108.075107.5770.4979213.83458
42111.7105.873106.127-0.2544235.82734
43104.26103.208104.592-1.384271.05218
44101.13101.683103.074-1.39078-0.552973
4598.55100.048101.599-1.55083-1.49834
4697.0699.0488100.125-1.07661-1.98881
4796.2297.740498.6396-0.899214-1.52037
4895.1597.551697.15540.396202-2.40162
4994.5496.645595.98210.663442-2.10553
5094.2996.884995.26421.62073-2.5949
5193.9896.702294.79121.91094-2.72219
5293.7695.956994.491.46688-2.19688
5394.1694.789294.29120.497921-0.629171
5493.8393.916494.1708-0.254423-0.0864106
5593.9792.70294.0862-1.384271.26802
5694.1992.714694.1054-1.390781.47536
5794.1492.811394.3621-1.550831.32875
5894.2493.612694.6892-1.076610.627444
5994.2794.020494.9196-0.8992140.249631
6094.2195.521695.12540.396202-1.31162
6193.4595.98895.32460.663442-2.53803
6295.8497.088295.46751.62073-1.24823
6398.5997.503995.59291.910941.08614
649797.198195.73121.46688-0.198129
6596.4596.473395.97540.497921-0.0233377
6696.4896.213196.4675-0.2544230.266923
6796.195.721297.1054-1.384270.37885
6895.4996.329697.7204-1.39078-0.83964
6995.8596.644698.1954-1.55083-0.794588
7095.8597.546398.6229-1.07661-1.69631
7198.5298.136299.0354-0.8992140.383798
72101.7799.645899.24960.3962022.12421
73101.2100.0299.35620.6634421.18031
74102.85101.18699.56541.620731.66385
75102.98101.81699.9051.910941.16406
76102.87101.858100.3911.466881.01229
77100.48101.421100.9230.497921-0.941254
7897.59101.052101.306-0.254423-3.46183
7997.55100.244101.628-1.38427-2.69407
8099.06100.586101.977-1.39078-1.52589
81100.43100.716102.267-1.55083-0.285838
82102.93101.372102.449-1.076611.55786
83104.22101.678102.577-0.8992142.54213
84105.26103.145102.7490.3962022.11463
85105.44103.539102.8760.6634421.90072
86106.97104.409102.7881.620732.56135
87105.82104.392102.4811.910941.42822
88104.4103.434101.9671.466880.966037
89102.03101.766101.2680.4979210.264162
90100.17100.187100.442-0.254423-0.0172439
9198.0198.217899.6021-1.38427-0.207817
9296.4997.313498.7042-1.39078-0.82339
9395.6396.188897.7396-1.55083-0.558754
9495.495.778896.8554-1.07661-0.378806
9594.9795.20796.1062-0.899214-0.237036
9694.6895.923795.52750.396202-1.2437
9795.8795.825595.16210.6634420.0444748
9894.9996.626695.00581.62073-1.63657
9994.6596.879794.96881.91094-2.22969
10094.3596.432394.96541.46688-2.0823
10194.195.471794.97380.497921-1.37167
10294.2194.785295.0396-0.254423-0.575161
10395.2NANA-1.38427NA
10495.55NANA-1.39078NA
10595.68NANA-1.55083NA
10695.27NANA-1.07661NA
10795.3NANA-0.899214NA
10895.93NANA0.396202NA



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')