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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 10 Apr 2015 08:11:20 +0100
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/Apr/10/t142864990348n71h8xy2rt77u.htm/, Retrieved Thu, 09 May 2024 05:47:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278698, Retrieved Thu, 09 May 2024 05:47:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Multiplicatief de...] [2015-04-10 07:11:20] [c5b33e4153b13210102bee47a487e864] [Current]
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Dataseries X:
100.64
100.93
101.41
102.07
102.42
102.53
102.43
102.6
102.65
102.74
102.82
103.2
102.75
103.09
103.71
104.3
104.58
104.71
104.44
104.57
104.95
105.49
106.03
106.48
106.25
106.7
107.6
108.05
108.72
109.17
109.08
109.04
109.34
109.37
108.96
108.77
108.11
108.67
109.05
109.43
109.62
109.85
109.34
109.65
109.69
109.91
110.09
110.44
109.9
110.25
111.26
111.74
111.91
111.95
111.63
111.85
112.16
112.49
112.66
113.39
112.92
113.44
114.68
115.38
115.48
115.41
114.92
115.16
115.89
116.25
116.43
116.83
116.17
116.78
117.98
118.53
118.43
118.29
117.85
118.27
119
119.33
119.17
119.57
118.62
119.09
120.19
120.17
120.29
120.35
119.88
120.04
120.52
120.43
120.34
120.75




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278698&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278698&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278698&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'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1100.64NANA0.993473NA
2100.93NANA0.995831NA
3101.41NANA1.00212NA
4102.07NANA1.00426NA
5102.42NANA1.00426NA
6102.53NANA1.00332NA
7102.43102.155102.2910.9986731.00269
8102.6102.323102.4690.9985721.00271
9102.65102.633102.6550.9997861.00017
10102.74102.868102.8441.000240.998754
11102.82102.932103.0270.9990810.998912
12103.2103.248103.2071.000390.999538
13102.75102.707103.3820.9934731.00042
14103.09103.116103.5480.9958310.999746
15103.71103.946103.7261.002120.997727
16104.3104.379103.9361.004260.999242
17104.58104.628104.1851.004260.999542
18104.71104.801104.4551.003320.999128
19104.44104.598104.7380.9986730.998485
20104.57104.884105.0340.9985720.997008
21104.95105.324105.3460.9997860.996452
22105.49105.69105.6651.000240.99811
23106.03105.896105.9930.9990811.00127
24106.48106.393106.3521.000391.00082
25106.25106.034106.7310.9934731.00203
26106.7106.664107.110.9958311.00034
27107.6107.708107.481.002120.998998
28108.05108.284107.8241.004260.997843
29108.72108.568108.1081.004261.0014
30109.17108.685108.3251.003321.00447
31109.08108.354108.4980.9986731.0067
32109.04108.503108.6580.9985721.00495
33109.34108.777108.80.9997861.00517
34109.37108.944108.9181.000241.00391
35108.96108.913109.0130.9990811.00043
36108.77109.122109.0791.000390.996777
37108.11108.406109.1180.9934730.997268
38108.67108.699109.1550.9958310.999729
39109.05109.427109.1951.002120.996558
40109.43109.697109.2321.004260.997565
41109.62109.766109.3011.004260.998667
42109.85109.781109.4181.003321.00063
43109.34109.417109.5620.9986730.999299
44109.65109.546109.7030.9985721.00095
45109.69109.837109.860.9997860.998662
46109.91110.075110.0491.000240.998502
47110.09110.139110.240.9990810.999554
48110.44110.466110.4231.000390.999762
49109.9109.884110.6060.9934731.00014
50110.25110.331110.7930.9958310.999262
51111.26111.224110.9881.002121.00033
52111.74111.672111.1981.004261.00061
53111.91111.887111.4131.004261.00021
54111.95112.013111.6431.003320.999437
55111.63111.743111.8920.9986730.998987
56111.85111.99112.150.9985720.998747
57112.16112.402112.4260.9997860.997849
58112.49112.747112.721.000240.997722
59112.66112.917113.020.9990810.997728
60113.39113.357113.3131.000391.00029
61112.92112.853113.5950.9934731.00059
62113.44113.395113.870.9958311.0004
63114.68114.405114.1631.002121.0024
64115.38114.963114.4751.004261.00363
65115.48115.277114.7891.004261.00176
66115.41115.471115.0891.003320.999474
67114.92115.215115.3680.9986730.997441
68115.16115.477115.6430.9985720.997251
69115.89115.894115.9190.9997860.999962
70116.25116.216116.1881.000241.0003
71116.43116.335116.4420.9990811.00082
72116.83116.73116.6851.000391.00085
73116.17116.164116.9270.9934731.00005
74116.78116.69117.1790.9958311.00077
75117.98117.687117.4381.002121.00249
76118.53118.197117.6961.004261.00281
77118.43118.44117.9381.004260.999914
78118.29118.558118.1671.003320.997735
79117.85118.226118.3830.9986730.996821
80118.27118.412118.5810.9985720.998801
81119118.744118.770.9997861.00215
82119.33118.958118.931.000241.00312
83119.17118.966119.0760.9990811.00171
84119.57119.286119.2391.000391.00238
85118.62118.63119.410.9934730.999914
86119.09119.069119.5680.9958311.00017
87120.19119.959119.7051.002121.00192
88120.17120.325119.8141.004260.998715
89120.29120.419119.9091.004260.998929
90120.35120.405120.0071.003320.999547
91119.88NANA0.998673NA
92120.04NANA0.998572NA
93120.52NANA0.999786NA
94120.43NANA1.00024NA
95120.34NANA0.999081NA
96120.75NANA1.00039NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 100.64 & NA & NA & 0.993473 & NA \tabularnewline
2 & 100.93 & NA & NA & 0.995831 & NA \tabularnewline
3 & 101.41 & NA & NA & 1.00212 & NA \tabularnewline
4 & 102.07 & NA & NA & 1.00426 & NA \tabularnewline
5 & 102.42 & NA & NA & 1.00426 & NA \tabularnewline
6 & 102.53 & NA & NA & 1.00332 & NA \tabularnewline
7 & 102.43 & 102.155 & 102.291 & 0.998673 & 1.00269 \tabularnewline
8 & 102.6 & 102.323 & 102.469 & 0.998572 & 1.00271 \tabularnewline
9 & 102.65 & 102.633 & 102.655 & 0.999786 & 1.00017 \tabularnewline
10 & 102.74 & 102.868 & 102.844 & 1.00024 & 0.998754 \tabularnewline
11 & 102.82 & 102.932 & 103.027 & 0.999081 & 0.998912 \tabularnewline
12 & 103.2 & 103.248 & 103.207 & 1.00039 & 0.999538 \tabularnewline
13 & 102.75 & 102.707 & 103.382 & 0.993473 & 1.00042 \tabularnewline
14 & 103.09 & 103.116 & 103.548 & 0.995831 & 0.999746 \tabularnewline
15 & 103.71 & 103.946 & 103.726 & 1.00212 & 0.997727 \tabularnewline
16 & 104.3 & 104.379 & 103.936 & 1.00426 & 0.999242 \tabularnewline
17 & 104.58 & 104.628 & 104.185 & 1.00426 & 0.999542 \tabularnewline
18 & 104.71 & 104.801 & 104.455 & 1.00332 & 0.999128 \tabularnewline
19 & 104.44 & 104.598 & 104.738 & 0.998673 & 0.998485 \tabularnewline
20 & 104.57 & 104.884 & 105.034 & 0.998572 & 0.997008 \tabularnewline
21 & 104.95 & 105.324 & 105.346 & 0.999786 & 0.996452 \tabularnewline
22 & 105.49 & 105.69 & 105.665 & 1.00024 & 0.99811 \tabularnewline
23 & 106.03 & 105.896 & 105.993 & 0.999081 & 1.00127 \tabularnewline
24 & 106.48 & 106.393 & 106.352 & 1.00039 & 1.00082 \tabularnewline
25 & 106.25 & 106.034 & 106.731 & 0.993473 & 1.00203 \tabularnewline
26 & 106.7 & 106.664 & 107.11 & 0.995831 & 1.00034 \tabularnewline
27 & 107.6 & 107.708 & 107.48 & 1.00212 & 0.998998 \tabularnewline
28 & 108.05 & 108.284 & 107.824 & 1.00426 & 0.997843 \tabularnewline
29 & 108.72 & 108.568 & 108.108 & 1.00426 & 1.0014 \tabularnewline
30 & 109.17 & 108.685 & 108.325 & 1.00332 & 1.00447 \tabularnewline
31 & 109.08 & 108.354 & 108.498 & 0.998673 & 1.0067 \tabularnewline
32 & 109.04 & 108.503 & 108.658 & 0.998572 & 1.00495 \tabularnewline
33 & 109.34 & 108.777 & 108.8 & 0.999786 & 1.00517 \tabularnewline
34 & 109.37 & 108.944 & 108.918 & 1.00024 & 1.00391 \tabularnewline
35 & 108.96 & 108.913 & 109.013 & 0.999081 & 1.00043 \tabularnewline
36 & 108.77 & 109.122 & 109.079 & 1.00039 & 0.996777 \tabularnewline
37 & 108.11 & 108.406 & 109.118 & 0.993473 & 0.997268 \tabularnewline
38 & 108.67 & 108.699 & 109.155 & 0.995831 & 0.999729 \tabularnewline
39 & 109.05 & 109.427 & 109.195 & 1.00212 & 0.996558 \tabularnewline
40 & 109.43 & 109.697 & 109.232 & 1.00426 & 0.997565 \tabularnewline
41 & 109.62 & 109.766 & 109.301 & 1.00426 & 0.998667 \tabularnewline
42 & 109.85 & 109.781 & 109.418 & 1.00332 & 1.00063 \tabularnewline
43 & 109.34 & 109.417 & 109.562 & 0.998673 & 0.999299 \tabularnewline
44 & 109.65 & 109.546 & 109.703 & 0.998572 & 1.00095 \tabularnewline
45 & 109.69 & 109.837 & 109.86 & 0.999786 & 0.998662 \tabularnewline
46 & 109.91 & 110.075 & 110.049 & 1.00024 & 0.998502 \tabularnewline
47 & 110.09 & 110.139 & 110.24 & 0.999081 & 0.999554 \tabularnewline
48 & 110.44 & 110.466 & 110.423 & 1.00039 & 0.999762 \tabularnewline
49 & 109.9 & 109.884 & 110.606 & 0.993473 & 1.00014 \tabularnewline
50 & 110.25 & 110.331 & 110.793 & 0.995831 & 0.999262 \tabularnewline
51 & 111.26 & 111.224 & 110.988 & 1.00212 & 1.00033 \tabularnewline
52 & 111.74 & 111.672 & 111.198 & 1.00426 & 1.00061 \tabularnewline
53 & 111.91 & 111.887 & 111.413 & 1.00426 & 1.00021 \tabularnewline
54 & 111.95 & 112.013 & 111.643 & 1.00332 & 0.999437 \tabularnewline
55 & 111.63 & 111.743 & 111.892 & 0.998673 & 0.998987 \tabularnewline
56 & 111.85 & 111.99 & 112.15 & 0.998572 & 0.998747 \tabularnewline
57 & 112.16 & 112.402 & 112.426 & 0.999786 & 0.997849 \tabularnewline
58 & 112.49 & 112.747 & 112.72 & 1.00024 & 0.997722 \tabularnewline
59 & 112.66 & 112.917 & 113.02 & 0.999081 & 0.997728 \tabularnewline
60 & 113.39 & 113.357 & 113.313 & 1.00039 & 1.00029 \tabularnewline
61 & 112.92 & 112.853 & 113.595 & 0.993473 & 1.00059 \tabularnewline
62 & 113.44 & 113.395 & 113.87 & 0.995831 & 1.0004 \tabularnewline
63 & 114.68 & 114.405 & 114.163 & 1.00212 & 1.0024 \tabularnewline
64 & 115.38 & 114.963 & 114.475 & 1.00426 & 1.00363 \tabularnewline
65 & 115.48 & 115.277 & 114.789 & 1.00426 & 1.00176 \tabularnewline
66 & 115.41 & 115.471 & 115.089 & 1.00332 & 0.999474 \tabularnewline
67 & 114.92 & 115.215 & 115.368 & 0.998673 & 0.997441 \tabularnewline
68 & 115.16 & 115.477 & 115.643 & 0.998572 & 0.997251 \tabularnewline
69 & 115.89 & 115.894 & 115.919 & 0.999786 & 0.999962 \tabularnewline
70 & 116.25 & 116.216 & 116.188 & 1.00024 & 1.0003 \tabularnewline
71 & 116.43 & 116.335 & 116.442 & 0.999081 & 1.00082 \tabularnewline
72 & 116.83 & 116.73 & 116.685 & 1.00039 & 1.00085 \tabularnewline
73 & 116.17 & 116.164 & 116.927 & 0.993473 & 1.00005 \tabularnewline
74 & 116.78 & 116.69 & 117.179 & 0.995831 & 1.00077 \tabularnewline
75 & 117.98 & 117.687 & 117.438 & 1.00212 & 1.00249 \tabularnewline
76 & 118.53 & 118.197 & 117.696 & 1.00426 & 1.00281 \tabularnewline
77 & 118.43 & 118.44 & 117.938 & 1.00426 & 0.999914 \tabularnewline
78 & 118.29 & 118.558 & 118.167 & 1.00332 & 0.997735 \tabularnewline
79 & 117.85 & 118.226 & 118.383 & 0.998673 & 0.996821 \tabularnewline
80 & 118.27 & 118.412 & 118.581 & 0.998572 & 0.998801 \tabularnewline
81 & 119 & 118.744 & 118.77 & 0.999786 & 1.00215 \tabularnewline
82 & 119.33 & 118.958 & 118.93 & 1.00024 & 1.00312 \tabularnewline
83 & 119.17 & 118.966 & 119.076 & 0.999081 & 1.00171 \tabularnewline
84 & 119.57 & 119.286 & 119.239 & 1.00039 & 1.00238 \tabularnewline
85 & 118.62 & 118.63 & 119.41 & 0.993473 & 0.999914 \tabularnewline
86 & 119.09 & 119.069 & 119.568 & 0.995831 & 1.00017 \tabularnewline
87 & 120.19 & 119.959 & 119.705 & 1.00212 & 1.00192 \tabularnewline
88 & 120.17 & 120.325 & 119.814 & 1.00426 & 0.998715 \tabularnewline
89 & 120.29 & 120.419 & 119.909 & 1.00426 & 0.998929 \tabularnewline
90 & 120.35 & 120.405 & 120.007 & 1.00332 & 0.999547 \tabularnewline
91 & 119.88 & NA & NA & 0.998673 & NA \tabularnewline
92 & 120.04 & NA & NA & 0.998572 & NA \tabularnewline
93 & 120.52 & NA & NA & 0.999786 & NA \tabularnewline
94 & 120.43 & NA & NA & 1.00024 & NA \tabularnewline
95 & 120.34 & NA & NA & 0.999081 & NA \tabularnewline
96 & 120.75 & NA & NA & 1.00039 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278698&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]100.64[/C][C]NA[/C][C]NA[/C][C]0.993473[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]100.93[/C][C]NA[/C][C]NA[/C][C]0.995831[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]101.41[/C][C]NA[/C][C]NA[/C][C]1.00212[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102.07[/C][C]NA[/C][C]NA[/C][C]1.00426[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]102.42[/C][C]NA[/C][C]NA[/C][C]1.00426[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]102.53[/C][C]NA[/C][C]NA[/C][C]1.00332[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]102.43[/C][C]102.155[/C][C]102.291[/C][C]0.998673[/C][C]1.00269[/C][/ROW]
[ROW][C]8[/C][C]102.6[/C][C]102.323[/C][C]102.469[/C][C]0.998572[/C][C]1.00271[/C][/ROW]
[ROW][C]9[/C][C]102.65[/C][C]102.633[/C][C]102.655[/C][C]0.999786[/C][C]1.00017[/C][/ROW]
[ROW][C]10[/C][C]102.74[/C][C]102.868[/C][C]102.844[/C][C]1.00024[/C][C]0.998754[/C][/ROW]
[ROW][C]11[/C][C]102.82[/C][C]102.932[/C][C]103.027[/C][C]0.999081[/C][C]0.998912[/C][/ROW]
[ROW][C]12[/C][C]103.2[/C][C]103.248[/C][C]103.207[/C][C]1.00039[/C][C]0.999538[/C][/ROW]
[ROW][C]13[/C][C]102.75[/C][C]102.707[/C][C]103.382[/C][C]0.993473[/C][C]1.00042[/C][/ROW]
[ROW][C]14[/C][C]103.09[/C][C]103.116[/C][C]103.548[/C][C]0.995831[/C][C]0.999746[/C][/ROW]
[ROW][C]15[/C][C]103.71[/C][C]103.946[/C][C]103.726[/C][C]1.00212[/C][C]0.997727[/C][/ROW]
[ROW][C]16[/C][C]104.3[/C][C]104.379[/C][C]103.936[/C][C]1.00426[/C][C]0.999242[/C][/ROW]
[ROW][C]17[/C][C]104.58[/C][C]104.628[/C][C]104.185[/C][C]1.00426[/C][C]0.999542[/C][/ROW]
[ROW][C]18[/C][C]104.71[/C][C]104.801[/C][C]104.455[/C][C]1.00332[/C][C]0.999128[/C][/ROW]
[ROW][C]19[/C][C]104.44[/C][C]104.598[/C][C]104.738[/C][C]0.998673[/C][C]0.998485[/C][/ROW]
[ROW][C]20[/C][C]104.57[/C][C]104.884[/C][C]105.034[/C][C]0.998572[/C][C]0.997008[/C][/ROW]
[ROW][C]21[/C][C]104.95[/C][C]105.324[/C][C]105.346[/C][C]0.999786[/C][C]0.996452[/C][/ROW]
[ROW][C]22[/C][C]105.49[/C][C]105.69[/C][C]105.665[/C][C]1.00024[/C][C]0.99811[/C][/ROW]
[ROW][C]23[/C][C]106.03[/C][C]105.896[/C][C]105.993[/C][C]0.999081[/C][C]1.00127[/C][/ROW]
[ROW][C]24[/C][C]106.48[/C][C]106.393[/C][C]106.352[/C][C]1.00039[/C][C]1.00082[/C][/ROW]
[ROW][C]25[/C][C]106.25[/C][C]106.034[/C][C]106.731[/C][C]0.993473[/C][C]1.00203[/C][/ROW]
[ROW][C]26[/C][C]106.7[/C][C]106.664[/C][C]107.11[/C][C]0.995831[/C][C]1.00034[/C][/ROW]
[ROW][C]27[/C][C]107.6[/C][C]107.708[/C][C]107.48[/C][C]1.00212[/C][C]0.998998[/C][/ROW]
[ROW][C]28[/C][C]108.05[/C][C]108.284[/C][C]107.824[/C][C]1.00426[/C][C]0.997843[/C][/ROW]
[ROW][C]29[/C][C]108.72[/C][C]108.568[/C][C]108.108[/C][C]1.00426[/C][C]1.0014[/C][/ROW]
[ROW][C]30[/C][C]109.17[/C][C]108.685[/C][C]108.325[/C][C]1.00332[/C][C]1.00447[/C][/ROW]
[ROW][C]31[/C][C]109.08[/C][C]108.354[/C][C]108.498[/C][C]0.998673[/C][C]1.0067[/C][/ROW]
[ROW][C]32[/C][C]109.04[/C][C]108.503[/C][C]108.658[/C][C]0.998572[/C][C]1.00495[/C][/ROW]
[ROW][C]33[/C][C]109.34[/C][C]108.777[/C][C]108.8[/C][C]0.999786[/C][C]1.00517[/C][/ROW]
[ROW][C]34[/C][C]109.37[/C][C]108.944[/C][C]108.918[/C][C]1.00024[/C][C]1.00391[/C][/ROW]
[ROW][C]35[/C][C]108.96[/C][C]108.913[/C][C]109.013[/C][C]0.999081[/C][C]1.00043[/C][/ROW]
[ROW][C]36[/C][C]108.77[/C][C]109.122[/C][C]109.079[/C][C]1.00039[/C][C]0.996777[/C][/ROW]
[ROW][C]37[/C][C]108.11[/C][C]108.406[/C][C]109.118[/C][C]0.993473[/C][C]0.997268[/C][/ROW]
[ROW][C]38[/C][C]108.67[/C][C]108.699[/C][C]109.155[/C][C]0.995831[/C][C]0.999729[/C][/ROW]
[ROW][C]39[/C][C]109.05[/C][C]109.427[/C][C]109.195[/C][C]1.00212[/C][C]0.996558[/C][/ROW]
[ROW][C]40[/C][C]109.43[/C][C]109.697[/C][C]109.232[/C][C]1.00426[/C][C]0.997565[/C][/ROW]
[ROW][C]41[/C][C]109.62[/C][C]109.766[/C][C]109.301[/C][C]1.00426[/C][C]0.998667[/C][/ROW]
[ROW][C]42[/C][C]109.85[/C][C]109.781[/C][C]109.418[/C][C]1.00332[/C][C]1.00063[/C][/ROW]
[ROW][C]43[/C][C]109.34[/C][C]109.417[/C][C]109.562[/C][C]0.998673[/C][C]0.999299[/C][/ROW]
[ROW][C]44[/C][C]109.65[/C][C]109.546[/C][C]109.703[/C][C]0.998572[/C][C]1.00095[/C][/ROW]
[ROW][C]45[/C][C]109.69[/C][C]109.837[/C][C]109.86[/C][C]0.999786[/C][C]0.998662[/C][/ROW]
[ROW][C]46[/C][C]109.91[/C][C]110.075[/C][C]110.049[/C][C]1.00024[/C][C]0.998502[/C][/ROW]
[ROW][C]47[/C][C]110.09[/C][C]110.139[/C][C]110.24[/C][C]0.999081[/C][C]0.999554[/C][/ROW]
[ROW][C]48[/C][C]110.44[/C][C]110.466[/C][C]110.423[/C][C]1.00039[/C][C]0.999762[/C][/ROW]
[ROW][C]49[/C][C]109.9[/C][C]109.884[/C][C]110.606[/C][C]0.993473[/C][C]1.00014[/C][/ROW]
[ROW][C]50[/C][C]110.25[/C][C]110.331[/C][C]110.793[/C][C]0.995831[/C][C]0.999262[/C][/ROW]
[ROW][C]51[/C][C]111.26[/C][C]111.224[/C][C]110.988[/C][C]1.00212[/C][C]1.00033[/C][/ROW]
[ROW][C]52[/C][C]111.74[/C][C]111.672[/C][C]111.198[/C][C]1.00426[/C][C]1.00061[/C][/ROW]
[ROW][C]53[/C][C]111.91[/C][C]111.887[/C][C]111.413[/C][C]1.00426[/C][C]1.00021[/C][/ROW]
[ROW][C]54[/C][C]111.95[/C][C]112.013[/C][C]111.643[/C][C]1.00332[/C][C]0.999437[/C][/ROW]
[ROW][C]55[/C][C]111.63[/C][C]111.743[/C][C]111.892[/C][C]0.998673[/C][C]0.998987[/C][/ROW]
[ROW][C]56[/C][C]111.85[/C][C]111.99[/C][C]112.15[/C][C]0.998572[/C][C]0.998747[/C][/ROW]
[ROW][C]57[/C][C]112.16[/C][C]112.402[/C][C]112.426[/C][C]0.999786[/C][C]0.997849[/C][/ROW]
[ROW][C]58[/C][C]112.49[/C][C]112.747[/C][C]112.72[/C][C]1.00024[/C][C]0.997722[/C][/ROW]
[ROW][C]59[/C][C]112.66[/C][C]112.917[/C][C]113.02[/C][C]0.999081[/C][C]0.997728[/C][/ROW]
[ROW][C]60[/C][C]113.39[/C][C]113.357[/C][C]113.313[/C][C]1.00039[/C][C]1.00029[/C][/ROW]
[ROW][C]61[/C][C]112.92[/C][C]112.853[/C][C]113.595[/C][C]0.993473[/C][C]1.00059[/C][/ROW]
[ROW][C]62[/C][C]113.44[/C][C]113.395[/C][C]113.87[/C][C]0.995831[/C][C]1.0004[/C][/ROW]
[ROW][C]63[/C][C]114.68[/C][C]114.405[/C][C]114.163[/C][C]1.00212[/C][C]1.0024[/C][/ROW]
[ROW][C]64[/C][C]115.38[/C][C]114.963[/C][C]114.475[/C][C]1.00426[/C][C]1.00363[/C][/ROW]
[ROW][C]65[/C][C]115.48[/C][C]115.277[/C][C]114.789[/C][C]1.00426[/C][C]1.00176[/C][/ROW]
[ROW][C]66[/C][C]115.41[/C][C]115.471[/C][C]115.089[/C][C]1.00332[/C][C]0.999474[/C][/ROW]
[ROW][C]67[/C][C]114.92[/C][C]115.215[/C][C]115.368[/C][C]0.998673[/C][C]0.997441[/C][/ROW]
[ROW][C]68[/C][C]115.16[/C][C]115.477[/C][C]115.643[/C][C]0.998572[/C][C]0.997251[/C][/ROW]
[ROW][C]69[/C][C]115.89[/C][C]115.894[/C][C]115.919[/C][C]0.999786[/C][C]0.999962[/C][/ROW]
[ROW][C]70[/C][C]116.25[/C][C]116.216[/C][C]116.188[/C][C]1.00024[/C][C]1.0003[/C][/ROW]
[ROW][C]71[/C][C]116.43[/C][C]116.335[/C][C]116.442[/C][C]0.999081[/C][C]1.00082[/C][/ROW]
[ROW][C]72[/C][C]116.83[/C][C]116.73[/C][C]116.685[/C][C]1.00039[/C][C]1.00085[/C][/ROW]
[ROW][C]73[/C][C]116.17[/C][C]116.164[/C][C]116.927[/C][C]0.993473[/C][C]1.00005[/C][/ROW]
[ROW][C]74[/C][C]116.78[/C][C]116.69[/C][C]117.179[/C][C]0.995831[/C][C]1.00077[/C][/ROW]
[ROW][C]75[/C][C]117.98[/C][C]117.687[/C][C]117.438[/C][C]1.00212[/C][C]1.00249[/C][/ROW]
[ROW][C]76[/C][C]118.53[/C][C]118.197[/C][C]117.696[/C][C]1.00426[/C][C]1.00281[/C][/ROW]
[ROW][C]77[/C][C]118.43[/C][C]118.44[/C][C]117.938[/C][C]1.00426[/C][C]0.999914[/C][/ROW]
[ROW][C]78[/C][C]118.29[/C][C]118.558[/C][C]118.167[/C][C]1.00332[/C][C]0.997735[/C][/ROW]
[ROW][C]79[/C][C]117.85[/C][C]118.226[/C][C]118.383[/C][C]0.998673[/C][C]0.996821[/C][/ROW]
[ROW][C]80[/C][C]118.27[/C][C]118.412[/C][C]118.581[/C][C]0.998572[/C][C]0.998801[/C][/ROW]
[ROW][C]81[/C][C]119[/C][C]118.744[/C][C]118.77[/C][C]0.999786[/C][C]1.00215[/C][/ROW]
[ROW][C]82[/C][C]119.33[/C][C]118.958[/C][C]118.93[/C][C]1.00024[/C][C]1.00312[/C][/ROW]
[ROW][C]83[/C][C]119.17[/C][C]118.966[/C][C]119.076[/C][C]0.999081[/C][C]1.00171[/C][/ROW]
[ROW][C]84[/C][C]119.57[/C][C]119.286[/C][C]119.239[/C][C]1.00039[/C][C]1.00238[/C][/ROW]
[ROW][C]85[/C][C]118.62[/C][C]118.63[/C][C]119.41[/C][C]0.993473[/C][C]0.999914[/C][/ROW]
[ROW][C]86[/C][C]119.09[/C][C]119.069[/C][C]119.568[/C][C]0.995831[/C][C]1.00017[/C][/ROW]
[ROW][C]87[/C][C]120.19[/C][C]119.959[/C][C]119.705[/C][C]1.00212[/C][C]1.00192[/C][/ROW]
[ROW][C]88[/C][C]120.17[/C][C]120.325[/C][C]119.814[/C][C]1.00426[/C][C]0.998715[/C][/ROW]
[ROW][C]89[/C][C]120.29[/C][C]120.419[/C][C]119.909[/C][C]1.00426[/C][C]0.998929[/C][/ROW]
[ROW][C]90[/C][C]120.35[/C][C]120.405[/C][C]120.007[/C][C]1.00332[/C][C]0.999547[/C][/ROW]
[ROW][C]91[/C][C]119.88[/C][C]NA[/C][C]NA[/C][C]0.998673[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]120.04[/C][C]NA[/C][C]NA[/C][C]0.998572[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]120.52[/C][C]NA[/C][C]NA[/C][C]0.999786[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]120.43[/C][C]NA[/C][C]NA[/C][C]1.00024[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]120.34[/C][C]NA[/C][C]NA[/C][C]0.999081[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]120.75[/C][C]NA[/C][C]NA[/C][C]1.00039[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278698&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278698&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
1100.64NANA0.993473NA
2100.93NANA0.995831NA
3101.41NANA1.00212NA
4102.07NANA1.00426NA
5102.42NANA1.00426NA
6102.53NANA1.00332NA
7102.43102.155102.2910.9986731.00269
8102.6102.323102.4690.9985721.00271
9102.65102.633102.6550.9997861.00017
10102.74102.868102.8441.000240.998754
11102.82102.932103.0270.9990810.998912
12103.2103.248103.2071.000390.999538
13102.75102.707103.3820.9934731.00042
14103.09103.116103.5480.9958310.999746
15103.71103.946103.7261.002120.997727
16104.3104.379103.9361.004260.999242
17104.58104.628104.1851.004260.999542
18104.71104.801104.4551.003320.999128
19104.44104.598104.7380.9986730.998485
20104.57104.884105.0340.9985720.997008
21104.95105.324105.3460.9997860.996452
22105.49105.69105.6651.000240.99811
23106.03105.896105.9930.9990811.00127
24106.48106.393106.3521.000391.00082
25106.25106.034106.7310.9934731.00203
26106.7106.664107.110.9958311.00034
27107.6107.708107.481.002120.998998
28108.05108.284107.8241.004260.997843
29108.72108.568108.1081.004261.0014
30109.17108.685108.3251.003321.00447
31109.08108.354108.4980.9986731.0067
32109.04108.503108.6580.9985721.00495
33109.34108.777108.80.9997861.00517
34109.37108.944108.9181.000241.00391
35108.96108.913109.0130.9990811.00043
36108.77109.122109.0791.000390.996777
37108.11108.406109.1180.9934730.997268
38108.67108.699109.1550.9958310.999729
39109.05109.427109.1951.002120.996558
40109.43109.697109.2321.004260.997565
41109.62109.766109.3011.004260.998667
42109.85109.781109.4181.003321.00063
43109.34109.417109.5620.9986730.999299
44109.65109.546109.7030.9985721.00095
45109.69109.837109.860.9997860.998662
46109.91110.075110.0491.000240.998502
47110.09110.139110.240.9990810.999554
48110.44110.466110.4231.000390.999762
49109.9109.884110.6060.9934731.00014
50110.25110.331110.7930.9958310.999262
51111.26111.224110.9881.002121.00033
52111.74111.672111.1981.004261.00061
53111.91111.887111.4131.004261.00021
54111.95112.013111.6431.003320.999437
55111.63111.743111.8920.9986730.998987
56111.85111.99112.150.9985720.998747
57112.16112.402112.4260.9997860.997849
58112.49112.747112.721.000240.997722
59112.66112.917113.020.9990810.997728
60113.39113.357113.3131.000391.00029
61112.92112.853113.5950.9934731.00059
62113.44113.395113.870.9958311.0004
63114.68114.405114.1631.002121.0024
64115.38114.963114.4751.004261.00363
65115.48115.277114.7891.004261.00176
66115.41115.471115.0891.003320.999474
67114.92115.215115.3680.9986730.997441
68115.16115.477115.6430.9985720.997251
69115.89115.894115.9190.9997860.999962
70116.25116.216116.1881.000241.0003
71116.43116.335116.4420.9990811.00082
72116.83116.73116.6851.000391.00085
73116.17116.164116.9270.9934731.00005
74116.78116.69117.1790.9958311.00077
75117.98117.687117.4381.002121.00249
76118.53118.197117.6961.004261.00281
77118.43118.44117.9381.004260.999914
78118.29118.558118.1671.003320.997735
79117.85118.226118.3830.9986730.996821
80118.27118.412118.5810.9985720.998801
81119118.744118.770.9997861.00215
82119.33118.958118.931.000241.00312
83119.17118.966119.0760.9990811.00171
84119.57119.286119.2391.000391.00238
85118.62118.63119.410.9934730.999914
86119.09119.069119.5680.9958311.00017
87120.19119.959119.7051.002121.00192
88120.17120.325119.8141.004260.998715
89120.29120.419119.9091.004260.998929
90120.35120.405120.0071.003320.999547
91119.88NANA0.998673NA
92120.04NANA0.998572NA
93120.52NANA0.999786NA
94120.43NANA1.00024NA
95120.34NANA0.999081NA
96120.75NANA1.00039NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')