Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 29 Nov 2014 10:42:03 +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/2014/Nov/29/t1417257771jly5i7i0ph6bf4e.htm/, Retrieved Sun, 19 May 2024 22:00:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261077, Retrieved Sun, 19 May 2024 22:00:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-11-29 10:42:03] [beda3c52974d0e45a2203fe962302ec0] [Current]
Feedback Forum

Post a new message
Dataseries X:
101.1
101.35
101.45
101.49
101.68
101.92
102.04
102.55
104.02
105.41
105.48
105.54
105.16
105.16
105.16
105.16
105.16
105.17
105.17
105.54
106.9
107.27
107.31
107.39
107.41
107.46
113.14
117
119.28
119.39
119.5
119.67
119.67
119.73
119.77
119.77
119.78
119.78
119.78
121.28
122.44
122.72
122.75
122.8
122.81
122.83
122.83
122.83
122.84
122.85
123.61
124.74
125.1
125.29
125.45
125.51
125.55
125.57
125.81
127.41
127.75
127.76
127.8
128.23
130.01
130.07
130.17
130.21
130.22
130.23
130.23
130.23
130.23
130.24
130.13
130.14
130.79
131.38
131.61
131.72
131.89
131.89
131.96
131.99
132
132.06
132.11
132.88
135.48
136.56
136.96
137.4
138.32
138.82
138.96
138.94
139
139.19
139.22
139.37
140.74
141.17
141.51
142.94
144.81
145.41
146.11
146.23




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261077&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261077&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261077&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'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1101.1NANA-0.65747NA
2101.35NANA-1.03216NA
3101.45NANA-0.64872NA
4101.49NANA-0.0882509NA
5101.68NANA0.766801NA
6101.92NANA0.68701NA
7102.04103.433103.0050.428416-1.39342
8102.55103.586103.3330.252687-1.0356
9104.02104.003103.6460.3563850.0173655
10105.41104.212103.9540.2586241.19763
11105.48104.185104.252-0.0671051.29544
12105.54104.276104.532-0.256221.26414
13105.16104.14104.798-0.657471.01955
14105.16104.021105.053-1.032161.13924
15105.16104.649105.298-0.648720.51122
16105.16105.407105.495-0.0882509-0.246749
17105.16106.416105.6490.766801-1.25555
18105.17106.489105.8020.68701-1.31909
19105.17106.401105.9730.428416-1.23133
20105.54106.415106.1620.252687-0.875187
21106.9106.947106.5910.356385-0.0472179
22107.27107.675107.4170.258624-0.405291
23107.31108.431108.498-0.067105-1.12123
24107.39109.423109.679-0.25622-2.03295
25107.41110.211110.869-0.65747-2.80128
26107.46111.022112.055-1.03216-3.56243
27113.14112.527113.175-0.648720.613303
28117114.138114.227-0.08825092.86158
29119.28116.032115.2650.7668013.2482
30119.39116.987116.30.687012.40299
31119.5117.76117.3310.4284161.74033
32119.67118.613118.360.2526871.05731
33119.67119.506119.150.3563850.163615
34119.73119.864119.6050.258624-0.133624
35119.77119.848119.915-0.067105-0.077895
36119.77119.929120.185-0.25622-0.159197
37119.78119.802120.46-0.65747-0.0221137
38119.78119.693120.725-1.032160.0867405
39119.78120.338120.987-0.64872-0.557947
40121.28121.158121.247-0.08825090.121584
41122.44122.27121.5030.7668010.169865
42122.72122.445121.7580.687010.274657
43122.75122.442122.0130.4284160.308251
44122.8122.521122.2690.2526870.278563
45122.81122.913122.5560.356385-0.102635
46122.83123.119122.860.258624-0.288624
47122.83123.048123.115-0.067105-0.217895
48122.83123.077123.333-0.25622-0.246697
49122.84122.895123.552-0.65747-0.0550304
50122.85122.746123.778-1.032160.10424
51123.61123.356124.005-0.648720.25372
52124.74124.145124.233-0.08825090.594918
53125.1125.238124.4720.766801-0.138468
54125.29125.474124.7870.68701-0.183676
55125.45125.61125.1820.428416-0.160499
56125.51125.844125.5910.252687-0.333937
57125.55126.327125.970.356385-0.776801
58125.57126.549126.290.258624-0.979041
59125.81126.573126.64-0.067105-0.763312
60127.41126.788127.044-0.256220.622053
61127.75126.783127.44-0.657470.96747
62127.76126.8127.832-1.032160.959657
63127.8127.574128.223-0.648720.225803
64128.23128.523128.612-0.0882509-0.293416
65130.01129.757128.990.7668010.253199
66130.07129.979129.2920.687010.0913238
67130.17129.941129.5120.4284160.229084
68130.21129.972129.7190.2526870.238147
69130.22130.276129.920.356385-0.0559679
70130.23130.355130.0960.258624-0.124874
71130.23130.141130.208-0.0671050.0887717
72130.23130.039130.295-0.256220.190803
73130.23129.753130.41-0.657470.47747
74130.24129.501130.533-1.032160.73924
75130.13130.017130.665-0.648720.113303
76130.14130.716130.804-0.0882509-0.575916
77130.79131.712130.9450.766801-0.922218
78131.38131.778131.0910.68701-0.397843
79131.61131.666131.2380.428416-0.0563325
80131.72131.64131.3880.2526870.0798134
81131.89131.902131.5460.356385-0.0122179
82131.89132.001131.7420.258624-0.111124
83131.96131.985132.052-0.067105-0.0249783
84131.99132.207132.463-0.25622-0.217114
85132132.245132.902-0.65747-0.244614
86132.06132.33133.362-1.03216-0.26951
87132.11133.218133.866-0.64872-1.10753
88132.88134.335134.423-0.0882509-1.45467
89135.48135.77135.0030.766801-0.290135
90136.56136.272135.5850.687010.288407
91136.96136.594136.1660.4284160.365751
92137.4137.007136.7550.2526870.39273
93138.32137.704137.3480.3563850.615699
94138.82138.173137.9150.2586240.646793
95138.96138.337138.404-0.0671050.622938
96138.94138.559138.815-0.256220.380803
97139138.54139.197-0.657470.460386
98139.19138.585139.617-1.032160.604657
99139.22139.47140.119-0.64872-0.25003
100139.37140.575140.664-0.0882509-1.2055
101140.74142.003141.2360.766801-1.26305
102141.17142.525141.8380.68701-1.35493
103141.51NANA0.428416NA
104142.94NANA0.252687NA
105144.81NANA0.356385NA
106145.41NANA0.258624NA
107146.11NANA-0.067105NA
108146.23NANA-0.25622NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.1 & NA & NA & -0.65747 & NA \tabularnewline
2 & 101.35 & NA & NA & -1.03216 & NA \tabularnewline
3 & 101.45 & NA & NA & -0.64872 & NA \tabularnewline
4 & 101.49 & NA & NA & -0.0882509 & NA \tabularnewline
5 & 101.68 & NA & NA & 0.766801 & NA \tabularnewline
6 & 101.92 & NA & NA & 0.68701 & NA \tabularnewline
7 & 102.04 & 103.433 & 103.005 & 0.428416 & -1.39342 \tabularnewline
8 & 102.55 & 103.586 & 103.333 & 0.252687 & -1.0356 \tabularnewline
9 & 104.02 & 104.003 & 103.646 & 0.356385 & 0.0173655 \tabularnewline
10 & 105.41 & 104.212 & 103.954 & 0.258624 & 1.19763 \tabularnewline
11 & 105.48 & 104.185 & 104.252 & -0.067105 & 1.29544 \tabularnewline
12 & 105.54 & 104.276 & 104.532 & -0.25622 & 1.26414 \tabularnewline
13 & 105.16 & 104.14 & 104.798 & -0.65747 & 1.01955 \tabularnewline
14 & 105.16 & 104.021 & 105.053 & -1.03216 & 1.13924 \tabularnewline
15 & 105.16 & 104.649 & 105.298 & -0.64872 & 0.51122 \tabularnewline
16 & 105.16 & 105.407 & 105.495 & -0.0882509 & -0.246749 \tabularnewline
17 & 105.16 & 106.416 & 105.649 & 0.766801 & -1.25555 \tabularnewline
18 & 105.17 & 106.489 & 105.802 & 0.68701 & -1.31909 \tabularnewline
19 & 105.17 & 106.401 & 105.973 & 0.428416 & -1.23133 \tabularnewline
20 & 105.54 & 106.415 & 106.162 & 0.252687 & -0.875187 \tabularnewline
21 & 106.9 & 106.947 & 106.591 & 0.356385 & -0.0472179 \tabularnewline
22 & 107.27 & 107.675 & 107.417 & 0.258624 & -0.405291 \tabularnewline
23 & 107.31 & 108.431 & 108.498 & -0.067105 & -1.12123 \tabularnewline
24 & 107.39 & 109.423 & 109.679 & -0.25622 & -2.03295 \tabularnewline
25 & 107.41 & 110.211 & 110.869 & -0.65747 & -2.80128 \tabularnewline
26 & 107.46 & 111.022 & 112.055 & -1.03216 & -3.56243 \tabularnewline
27 & 113.14 & 112.527 & 113.175 & -0.64872 & 0.613303 \tabularnewline
28 & 117 & 114.138 & 114.227 & -0.0882509 & 2.86158 \tabularnewline
29 & 119.28 & 116.032 & 115.265 & 0.766801 & 3.2482 \tabularnewline
30 & 119.39 & 116.987 & 116.3 & 0.68701 & 2.40299 \tabularnewline
31 & 119.5 & 117.76 & 117.331 & 0.428416 & 1.74033 \tabularnewline
32 & 119.67 & 118.613 & 118.36 & 0.252687 & 1.05731 \tabularnewline
33 & 119.67 & 119.506 & 119.15 & 0.356385 & 0.163615 \tabularnewline
34 & 119.73 & 119.864 & 119.605 & 0.258624 & -0.133624 \tabularnewline
35 & 119.77 & 119.848 & 119.915 & -0.067105 & -0.077895 \tabularnewline
36 & 119.77 & 119.929 & 120.185 & -0.25622 & -0.159197 \tabularnewline
37 & 119.78 & 119.802 & 120.46 & -0.65747 & -0.0221137 \tabularnewline
38 & 119.78 & 119.693 & 120.725 & -1.03216 & 0.0867405 \tabularnewline
39 & 119.78 & 120.338 & 120.987 & -0.64872 & -0.557947 \tabularnewline
40 & 121.28 & 121.158 & 121.247 & -0.0882509 & 0.121584 \tabularnewline
41 & 122.44 & 122.27 & 121.503 & 0.766801 & 0.169865 \tabularnewline
42 & 122.72 & 122.445 & 121.758 & 0.68701 & 0.274657 \tabularnewline
43 & 122.75 & 122.442 & 122.013 & 0.428416 & 0.308251 \tabularnewline
44 & 122.8 & 122.521 & 122.269 & 0.252687 & 0.278563 \tabularnewline
45 & 122.81 & 122.913 & 122.556 & 0.356385 & -0.102635 \tabularnewline
46 & 122.83 & 123.119 & 122.86 & 0.258624 & -0.288624 \tabularnewline
47 & 122.83 & 123.048 & 123.115 & -0.067105 & -0.217895 \tabularnewline
48 & 122.83 & 123.077 & 123.333 & -0.25622 & -0.246697 \tabularnewline
49 & 122.84 & 122.895 & 123.552 & -0.65747 & -0.0550304 \tabularnewline
50 & 122.85 & 122.746 & 123.778 & -1.03216 & 0.10424 \tabularnewline
51 & 123.61 & 123.356 & 124.005 & -0.64872 & 0.25372 \tabularnewline
52 & 124.74 & 124.145 & 124.233 & -0.0882509 & 0.594918 \tabularnewline
53 & 125.1 & 125.238 & 124.472 & 0.766801 & -0.138468 \tabularnewline
54 & 125.29 & 125.474 & 124.787 & 0.68701 & -0.183676 \tabularnewline
55 & 125.45 & 125.61 & 125.182 & 0.428416 & -0.160499 \tabularnewline
56 & 125.51 & 125.844 & 125.591 & 0.252687 & -0.333937 \tabularnewline
57 & 125.55 & 126.327 & 125.97 & 0.356385 & -0.776801 \tabularnewline
58 & 125.57 & 126.549 & 126.29 & 0.258624 & -0.979041 \tabularnewline
59 & 125.81 & 126.573 & 126.64 & -0.067105 & -0.763312 \tabularnewline
60 & 127.41 & 126.788 & 127.044 & -0.25622 & 0.622053 \tabularnewline
61 & 127.75 & 126.783 & 127.44 & -0.65747 & 0.96747 \tabularnewline
62 & 127.76 & 126.8 & 127.832 & -1.03216 & 0.959657 \tabularnewline
63 & 127.8 & 127.574 & 128.223 & -0.64872 & 0.225803 \tabularnewline
64 & 128.23 & 128.523 & 128.612 & -0.0882509 & -0.293416 \tabularnewline
65 & 130.01 & 129.757 & 128.99 & 0.766801 & 0.253199 \tabularnewline
66 & 130.07 & 129.979 & 129.292 & 0.68701 & 0.0913238 \tabularnewline
67 & 130.17 & 129.941 & 129.512 & 0.428416 & 0.229084 \tabularnewline
68 & 130.21 & 129.972 & 129.719 & 0.252687 & 0.238147 \tabularnewline
69 & 130.22 & 130.276 & 129.92 & 0.356385 & -0.0559679 \tabularnewline
70 & 130.23 & 130.355 & 130.096 & 0.258624 & -0.124874 \tabularnewline
71 & 130.23 & 130.141 & 130.208 & -0.067105 & 0.0887717 \tabularnewline
72 & 130.23 & 130.039 & 130.295 & -0.25622 & 0.190803 \tabularnewline
73 & 130.23 & 129.753 & 130.41 & -0.65747 & 0.47747 \tabularnewline
74 & 130.24 & 129.501 & 130.533 & -1.03216 & 0.73924 \tabularnewline
75 & 130.13 & 130.017 & 130.665 & -0.64872 & 0.113303 \tabularnewline
76 & 130.14 & 130.716 & 130.804 & -0.0882509 & -0.575916 \tabularnewline
77 & 130.79 & 131.712 & 130.945 & 0.766801 & -0.922218 \tabularnewline
78 & 131.38 & 131.778 & 131.091 & 0.68701 & -0.397843 \tabularnewline
79 & 131.61 & 131.666 & 131.238 & 0.428416 & -0.0563325 \tabularnewline
80 & 131.72 & 131.64 & 131.388 & 0.252687 & 0.0798134 \tabularnewline
81 & 131.89 & 131.902 & 131.546 & 0.356385 & -0.0122179 \tabularnewline
82 & 131.89 & 132.001 & 131.742 & 0.258624 & -0.111124 \tabularnewline
83 & 131.96 & 131.985 & 132.052 & -0.067105 & -0.0249783 \tabularnewline
84 & 131.99 & 132.207 & 132.463 & -0.25622 & -0.217114 \tabularnewline
85 & 132 & 132.245 & 132.902 & -0.65747 & -0.244614 \tabularnewline
86 & 132.06 & 132.33 & 133.362 & -1.03216 & -0.26951 \tabularnewline
87 & 132.11 & 133.218 & 133.866 & -0.64872 & -1.10753 \tabularnewline
88 & 132.88 & 134.335 & 134.423 & -0.0882509 & -1.45467 \tabularnewline
89 & 135.48 & 135.77 & 135.003 & 0.766801 & -0.290135 \tabularnewline
90 & 136.56 & 136.272 & 135.585 & 0.68701 & 0.288407 \tabularnewline
91 & 136.96 & 136.594 & 136.166 & 0.428416 & 0.365751 \tabularnewline
92 & 137.4 & 137.007 & 136.755 & 0.252687 & 0.39273 \tabularnewline
93 & 138.32 & 137.704 & 137.348 & 0.356385 & 0.615699 \tabularnewline
94 & 138.82 & 138.173 & 137.915 & 0.258624 & 0.646793 \tabularnewline
95 & 138.96 & 138.337 & 138.404 & -0.067105 & 0.622938 \tabularnewline
96 & 138.94 & 138.559 & 138.815 & -0.25622 & 0.380803 \tabularnewline
97 & 139 & 138.54 & 139.197 & -0.65747 & 0.460386 \tabularnewline
98 & 139.19 & 138.585 & 139.617 & -1.03216 & 0.604657 \tabularnewline
99 & 139.22 & 139.47 & 140.119 & -0.64872 & -0.25003 \tabularnewline
100 & 139.37 & 140.575 & 140.664 & -0.0882509 & -1.2055 \tabularnewline
101 & 140.74 & 142.003 & 141.236 & 0.766801 & -1.26305 \tabularnewline
102 & 141.17 & 142.525 & 141.838 & 0.68701 & -1.35493 \tabularnewline
103 & 141.51 & NA & NA & 0.428416 & NA \tabularnewline
104 & 142.94 & NA & NA & 0.252687 & NA \tabularnewline
105 & 144.81 & NA & NA & 0.356385 & NA \tabularnewline
106 & 145.41 & NA & NA & 0.258624 & NA \tabularnewline
107 & 146.11 & NA & NA & -0.067105 & NA \tabularnewline
108 & 146.23 & NA & NA & -0.25622 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261077&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]101.1[/C][C]NA[/C][C]NA[/C][C]-0.65747[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]101.35[/C][C]NA[/C][C]NA[/C][C]-1.03216[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]101.45[/C][C]NA[/C][C]NA[/C][C]-0.64872[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]101.49[/C][C]NA[/C][C]NA[/C][C]-0.0882509[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]101.68[/C][C]NA[/C][C]NA[/C][C]0.766801[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.92[/C][C]NA[/C][C]NA[/C][C]0.68701[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]102.04[/C][C]103.433[/C][C]103.005[/C][C]0.428416[/C][C]-1.39342[/C][/ROW]
[ROW][C]8[/C][C]102.55[/C][C]103.586[/C][C]103.333[/C][C]0.252687[/C][C]-1.0356[/C][/ROW]
[ROW][C]9[/C][C]104.02[/C][C]104.003[/C][C]103.646[/C][C]0.356385[/C][C]0.0173655[/C][/ROW]
[ROW][C]10[/C][C]105.41[/C][C]104.212[/C][C]103.954[/C][C]0.258624[/C][C]1.19763[/C][/ROW]
[ROW][C]11[/C][C]105.48[/C][C]104.185[/C][C]104.252[/C][C]-0.067105[/C][C]1.29544[/C][/ROW]
[ROW][C]12[/C][C]105.54[/C][C]104.276[/C][C]104.532[/C][C]-0.25622[/C][C]1.26414[/C][/ROW]
[ROW][C]13[/C][C]105.16[/C][C]104.14[/C][C]104.798[/C][C]-0.65747[/C][C]1.01955[/C][/ROW]
[ROW][C]14[/C][C]105.16[/C][C]104.021[/C][C]105.053[/C][C]-1.03216[/C][C]1.13924[/C][/ROW]
[ROW][C]15[/C][C]105.16[/C][C]104.649[/C][C]105.298[/C][C]-0.64872[/C][C]0.51122[/C][/ROW]
[ROW][C]16[/C][C]105.16[/C][C]105.407[/C][C]105.495[/C][C]-0.0882509[/C][C]-0.246749[/C][/ROW]
[ROW][C]17[/C][C]105.16[/C][C]106.416[/C][C]105.649[/C][C]0.766801[/C][C]-1.25555[/C][/ROW]
[ROW][C]18[/C][C]105.17[/C][C]106.489[/C][C]105.802[/C][C]0.68701[/C][C]-1.31909[/C][/ROW]
[ROW][C]19[/C][C]105.17[/C][C]106.401[/C][C]105.973[/C][C]0.428416[/C][C]-1.23133[/C][/ROW]
[ROW][C]20[/C][C]105.54[/C][C]106.415[/C][C]106.162[/C][C]0.252687[/C][C]-0.875187[/C][/ROW]
[ROW][C]21[/C][C]106.9[/C][C]106.947[/C][C]106.591[/C][C]0.356385[/C][C]-0.0472179[/C][/ROW]
[ROW][C]22[/C][C]107.27[/C][C]107.675[/C][C]107.417[/C][C]0.258624[/C][C]-0.405291[/C][/ROW]
[ROW][C]23[/C][C]107.31[/C][C]108.431[/C][C]108.498[/C][C]-0.067105[/C][C]-1.12123[/C][/ROW]
[ROW][C]24[/C][C]107.39[/C][C]109.423[/C][C]109.679[/C][C]-0.25622[/C][C]-2.03295[/C][/ROW]
[ROW][C]25[/C][C]107.41[/C][C]110.211[/C][C]110.869[/C][C]-0.65747[/C][C]-2.80128[/C][/ROW]
[ROW][C]26[/C][C]107.46[/C][C]111.022[/C][C]112.055[/C][C]-1.03216[/C][C]-3.56243[/C][/ROW]
[ROW][C]27[/C][C]113.14[/C][C]112.527[/C][C]113.175[/C][C]-0.64872[/C][C]0.613303[/C][/ROW]
[ROW][C]28[/C][C]117[/C][C]114.138[/C][C]114.227[/C][C]-0.0882509[/C][C]2.86158[/C][/ROW]
[ROW][C]29[/C][C]119.28[/C][C]116.032[/C][C]115.265[/C][C]0.766801[/C][C]3.2482[/C][/ROW]
[ROW][C]30[/C][C]119.39[/C][C]116.987[/C][C]116.3[/C][C]0.68701[/C][C]2.40299[/C][/ROW]
[ROW][C]31[/C][C]119.5[/C][C]117.76[/C][C]117.331[/C][C]0.428416[/C][C]1.74033[/C][/ROW]
[ROW][C]32[/C][C]119.67[/C][C]118.613[/C][C]118.36[/C][C]0.252687[/C][C]1.05731[/C][/ROW]
[ROW][C]33[/C][C]119.67[/C][C]119.506[/C][C]119.15[/C][C]0.356385[/C][C]0.163615[/C][/ROW]
[ROW][C]34[/C][C]119.73[/C][C]119.864[/C][C]119.605[/C][C]0.258624[/C][C]-0.133624[/C][/ROW]
[ROW][C]35[/C][C]119.77[/C][C]119.848[/C][C]119.915[/C][C]-0.067105[/C][C]-0.077895[/C][/ROW]
[ROW][C]36[/C][C]119.77[/C][C]119.929[/C][C]120.185[/C][C]-0.25622[/C][C]-0.159197[/C][/ROW]
[ROW][C]37[/C][C]119.78[/C][C]119.802[/C][C]120.46[/C][C]-0.65747[/C][C]-0.0221137[/C][/ROW]
[ROW][C]38[/C][C]119.78[/C][C]119.693[/C][C]120.725[/C][C]-1.03216[/C][C]0.0867405[/C][/ROW]
[ROW][C]39[/C][C]119.78[/C][C]120.338[/C][C]120.987[/C][C]-0.64872[/C][C]-0.557947[/C][/ROW]
[ROW][C]40[/C][C]121.28[/C][C]121.158[/C][C]121.247[/C][C]-0.0882509[/C][C]0.121584[/C][/ROW]
[ROW][C]41[/C][C]122.44[/C][C]122.27[/C][C]121.503[/C][C]0.766801[/C][C]0.169865[/C][/ROW]
[ROW][C]42[/C][C]122.72[/C][C]122.445[/C][C]121.758[/C][C]0.68701[/C][C]0.274657[/C][/ROW]
[ROW][C]43[/C][C]122.75[/C][C]122.442[/C][C]122.013[/C][C]0.428416[/C][C]0.308251[/C][/ROW]
[ROW][C]44[/C][C]122.8[/C][C]122.521[/C][C]122.269[/C][C]0.252687[/C][C]0.278563[/C][/ROW]
[ROW][C]45[/C][C]122.81[/C][C]122.913[/C][C]122.556[/C][C]0.356385[/C][C]-0.102635[/C][/ROW]
[ROW][C]46[/C][C]122.83[/C][C]123.119[/C][C]122.86[/C][C]0.258624[/C][C]-0.288624[/C][/ROW]
[ROW][C]47[/C][C]122.83[/C][C]123.048[/C][C]123.115[/C][C]-0.067105[/C][C]-0.217895[/C][/ROW]
[ROW][C]48[/C][C]122.83[/C][C]123.077[/C][C]123.333[/C][C]-0.25622[/C][C]-0.246697[/C][/ROW]
[ROW][C]49[/C][C]122.84[/C][C]122.895[/C][C]123.552[/C][C]-0.65747[/C][C]-0.0550304[/C][/ROW]
[ROW][C]50[/C][C]122.85[/C][C]122.746[/C][C]123.778[/C][C]-1.03216[/C][C]0.10424[/C][/ROW]
[ROW][C]51[/C][C]123.61[/C][C]123.356[/C][C]124.005[/C][C]-0.64872[/C][C]0.25372[/C][/ROW]
[ROW][C]52[/C][C]124.74[/C][C]124.145[/C][C]124.233[/C][C]-0.0882509[/C][C]0.594918[/C][/ROW]
[ROW][C]53[/C][C]125.1[/C][C]125.238[/C][C]124.472[/C][C]0.766801[/C][C]-0.138468[/C][/ROW]
[ROW][C]54[/C][C]125.29[/C][C]125.474[/C][C]124.787[/C][C]0.68701[/C][C]-0.183676[/C][/ROW]
[ROW][C]55[/C][C]125.45[/C][C]125.61[/C][C]125.182[/C][C]0.428416[/C][C]-0.160499[/C][/ROW]
[ROW][C]56[/C][C]125.51[/C][C]125.844[/C][C]125.591[/C][C]0.252687[/C][C]-0.333937[/C][/ROW]
[ROW][C]57[/C][C]125.55[/C][C]126.327[/C][C]125.97[/C][C]0.356385[/C][C]-0.776801[/C][/ROW]
[ROW][C]58[/C][C]125.57[/C][C]126.549[/C][C]126.29[/C][C]0.258624[/C][C]-0.979041[/C][/ROW]
[ROW][C]59[/C][C]125.81[/C][C]126.573[/C][C]126.64[/C][C]-0.067105[/C][C]-0.763312[/C][/ROW]
[ROW][C]60[/C][C]127.41[/C][C]126.788[/C][C]127.044[/C][C]-0.25622[/C][C]0.622053[/C][/ROW]
[ROW][C]61[/C][C]127.75[/C][C]126.783[/C][C]127.44[/C][C]-0.65747[/C][C]0.96747[/C][/ROW]
[ROW][C]62[/C][C]127.76[/C][C]126.8[/C][C]127.832[/C][C]-1.03216[/C][C]0.959657[/C][/ROW]
[ROW][C]63[/C][C]127.8[/C][C]127.574[/C][C]128.223[/C][C]-0.64872[/C][C]0.225803[/C][/ROW]
[ROW][C]64[/C][C]128.23[/C][C]128.523[/C][C]128.612[/C][C]-0.0882509[/C][C]-0.293416[/C][/ROW]
[ROW][C]65[/C][C]130.01[/C][C]129.757[/C][C]128.99[/C][C]0.766801[/C][C]0.253199[/C][/ROW]
[ROW][C]66[/C][C]130.07[/C][C]129.979[/C][C]129.292[/C][C]0.68701[/C][C]0.0913238[/C][/ROW]
[ROW][C]67[/C][C]130.17[/C][C]129.941[/C][C]129.512[/C][C]0.428416[/C][C]0.229084[/C][/ROW]
[ROW][C]68[/C][C]130.21[/C][C]129.972[/C][C]129.719[/C][C]0.252687[/C][C]0.238147[/C][/ROW]
[ROW][C]69[/C][C]130.22[/C][C]130.276[/C][C]129.92[/C][C]0.356385[/C][C]-0.0559679[/C][/ROW]
[ROW][C]70[/C][C]130.23[/C][C]130.355[/C][C]130.096[/C][C]0.258624[/C][C]-0.124874[/C][/ROW]
[ROW][C]71[/C][C]130.23[/C][C]130.141[/C][C]130.208[/C][C]-0.067105[/C][C]0.0887717[/C][/ROW]
[ROW][C]72[/C][C]130.23[/C][C]130.039[/C][C]130.295[/C][C]-0.25622[/C][C]0.190803[/C][/ROW]
[ROW][C]73[/C][C]130.23[/C][C]129.753[/C][C]130.41[/C][C]-0.65747[/C][C]0.47747[/C][/ROW]
[ROW][C]74[/C][C]130.24[/C][C]129.501[/C][C]130.533[/C][C]-1.03216[/C][C]0.73924[/C][/ROW]
[ROW][C]75[/C][C]130.13[/C][C]130.017[/C][C]130.665[/C][C]-0.64872[/C][C]0.113303[/C][/ROW]
[ROW][C]76[/C][C]130.14[/C][C]130.716[/C][C]130.804[/C][C]-0.0882509[/C][C]-0.575916[/C][/ROW]
[ROW][C]77[/C][C]130.79[/C][C]131.712[/C][C]130.945[/C][C]0.766801[/C][C]-0.922218[/C][/ROW]
[ROW][C]78[/C][C]131.38[/C][C]131.778[/C][C]131.091[/C][C]0.68701[/C][C]-0.397843[/C][/ROW]
[ROW][C]79[/C][C]131.61[/C][C]131.666[/C][C]131.238[/C][C]0.428416[/C][C]-0.0563325[/C][/ROW]
[ROW][C]80[/C][C]131.72[/C][C]131.64[/C][C]131.388[/C][C]0.252687[/C][C]0.0798134[/C][/ROW]
[ROW][C]81[/C][C]131.89[/C][C]131.902[/C][C]131.546[/C][C]0.356385[/C][C]-0.0122179[/C][/ROW]
[ROW][C]82[/C][C]131.89[/C][C]132.001[/C][C]131.742[/C][C]0.258624[/C][C]-0.111124[/C][/ROW]
[ROW][C]83[/C][C]131.96[/C][C]131.985[/C][C]132.052[/C][C]-0.067105[/C][C]-0.0249783[/C][/ROW]
[ROW][C]84[/C][C]131.99[/C][C]132.207[/C][C]132.463[/C][C]-0.25622[/C][C]-0.217114[/C][/ROW]
[ROW][C]85[/C][C]132[/C][C]132.245[/C][C]132.902[/C][C]-0.65747[/C][C]-0.244614[/C][/ROW]
[ROW][C]86[/C][C]132.06[/C][C]132.33[/C][C]133.362[/C][C]-1.03216[/C][C]-0.26951[/C][/ROW]
[ROW][C]87[/C][C]132.11[/C][C]133.218[/C][C]133.866[/C][C]-0.64872[/C][C]-1.10753[/C][/ROW]
[ROW][C]88[/C][C]132.88[/C][C]134.335[/C][C]134.423[/C][C]-0.0882509[/C][C]-1.45467[/C][/ROW]
[ROW][C]89[/C][C]135.48[/C][C]135.77[/C][C]135.003[/C][C]0.766801[/C][C]-0.290135[/C][/ROW]
[ROW][C]90[/C][C]136.56[/C][C]136.272[/C][C]135.585[/C][C]0.68701[/C][C]0.288407[/C][/ROW]
[ROW][C]91[/C][C]136.96[/C][C]136.594[/C][C]136.166[/C][C]0.428416[/C][C]0.365751[/C][/ROW]
[ROW][C]92[/C][C]137.4[/C][C]137.007[/C][C]136.755[/C][C]0.252687[/C][C]0.39273[/C][/ROW]
[ROW][C]93[/C][C]138.32[/C][C]137.704[/C][C]137.348[/C][C]0.356385[/C][C]0.615699[/C][/ROW]
[ROW][C]94[/C][C]138.82[/C][C]138.173[/C][C]137.915[/C][C]0.258624[/C][C]0.646793[/C][/ROW]
[ROW][C]95[/C][C]138.96[/C][C]138.337[/C][C]138.404[/C][C]-0.067105[/C][C]0.622938[/C][/ROW]
[ROW][C]96[/C][C]138.94[/C][C]138.559[/C][C]138.815[/C][C]-0.25622[/C][C]0.380803[/C][/ROW]
[ROW][C]97[/C][C]139[/C][C]138.54[/C][C]139.197[/C][C]-0.65747[/C][C]0.460386[/C][/ROW]
[ROW][C]98[/C][C]139.19[/C][C]138.585[/C][C]139.617[/C][C]-1.03216[/C][C]0.604657[/C][/ROW]
[ROW][C]99[/C][C]139.22[/C][C]139.47[/C][C]140.119[/C][C]-0.64872[/C][C]-0.25003[/C][/ROW]
[ROW][C]100[/C][C]139.37[/C][C]140.575[/C][C]140.664[/C][C]-0.0882509[/C][C]-1.2055[/C][/ROW]
[ROW][C]101[/C][C]140.74[/C][C]142.003[/C][C]141.236[/C][C]0.766801[/C][C]-1.26305[/C][/ROW]
[ROW][C]102[/C][C]141.17[/C][C]142.525[/C][C]141.838[/C][C]0.68701[/C][C]-1.35493[/C][/ROW]
[ROW][C]103[/C][C]141.51[/C][C]NA[/C][C]NA[/C][C]0.428416[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]142.94[/C][C]NA[/C][C]NA[/C][C]0.252687[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]144.81[/C][C]NA[/C][C]NA[/C][C]0.356385[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]145.41[/C][C]NA[/C][C]NA[/C][C]0.258624[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]146.11[/C][C]NA[/C][C]NA[/C][C]-0.067105[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]146.23[/C][C]NA[/C][C]NA[/C][C]-0.25622[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261077&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261077&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
1101.1NANA-0.65747NA
2101.35NANA-1.03216NA
3101.45NANA-0.64872NA
4101.49NANA-0.0882509NA
5101.68NANA0.766801NA
6101.92NANA0.68701NA
7102.04103.433103.0050.428416-1.39342
8102.55103.586103.3330.252687-1.0356
9104.02104.003103.6460.3563850.0173655
10105.41104.212103.9540.2586241.19763
11105.48104.185104.252-0.0671051.29544
12105.54104.276104.532-0.256221.26414
13105.16104.14104.798-0.657471.01955
14105.16104.021105.053-1.032161.13924
15105.16104.649105.298-0.648720.51122
16105.16105.407105.495-0.0882509-0.246749
17105.16106.416105.6490.766801-1.25555
18105.17106.489105.8020.68701-1.31909
19105.17106.401105.9730.428416-1.23133
20105.54106.415106.1620.252687-0.875187
21106.9106.947106.5910.356385-0.0472179
22107.27107.675107.4170.258624-0.405291
23107.31108.431108.498-0.067105-1.12123
24107.39109.423109.679-0.25622-2.03295
25107.41110.211110.869-0.65747-2.80128
26107.46111.022112.055-1.03216-3.56243
27113.14112.527113.175-0.648720.613303
28117114.138114.227-0.08825092.86158
29119.28116.032115.2650.7668013.2482
30119.39116.987116.30.687012.40299
31119.5117.76117.3310.4284161.74033
32119.67118.613118.360.2526871.05731
33119.67119.506119.150.3563850.163615
34119.73119.864119.6050.258624-0.133624
35119.77119.848119.915-0.067105-0.077895
36119.77119.929120.185-0.25622-0.159197
37119.78119.802120.46-0.65747-0.0221137
38119.78119.693120.725-1.032160.0867405
39119.78120.338120.987-0.64872-0.557947
40121.28121.158121.247-0.08825090.121584
41122.44122.27121.5030.7668010.169865
42122.72122.445121.7580.687010.274657
43122.75122.442122.0130.4284160.308251
44122.8122.521122.2690.2526870.278563
45122.81122.913122.5560.356385-0.102635
46122.83123.119122.860.258624-0.288624
47122.83123.048123.115-0.067105-0.217895
48122.83123.077123.333-0.25622-0.246697
49122.84122.895123.552-0.65747-0.0550304
50122.85122.746123.778-1.032160.10424
51123.61123.356124.005-0.648720.25372
52124.74124.145124.233-0.08825090.594918
53125.1125.238124.4720.766801-0.138468
54125.29125.474124.7870.68701-0.183676
55125.45125.61125.1820.428416-0.160499
56125.51125.844125.5910.252687-0.333937
57125.55126.327125.970.356385-0.776801
58125.57126.549126.290.258624-0.979041
59125.81126.573126.64-0.067105-0.763312
60127.41126.788127.044-0.256220.622053
61127.75126.783127.44-0.657470.96747
62127.76126.8127.832-1.032160.959657
63127.8127.574128.223-0.648720.225803
64128.23128.523128.612-0.0882509-0.293416
65130.01129.757128.990.7668010.253199
66130.07129.979129.2920.687010.0913238
67130.17129.941129.5120.4284160.229084
68130.21129.972129.7190.2526870.238147
69130.22130.276129.920.356385-0.0559679
70130.23130.355130.0960.258624-0.124874
71130.23130.141130.208-0.0671050.0887717
72130.23130.039130.295-0.256220.190803
73130.23129.753130.41-0.657470.47747
74130.24129.501130.533-1.032160.73924
75130.13130.017130.665-0.648720.113303
76130.14130.716130.804-0.0882509-0.575916
77130.79131.712130.9450.766801-0.922218
78131.38131.778131.0910.68701-0.397843
79131.61131.666131.2380.428416-0.0563325
80131.72131.64131.3880.2526870.0798134
81131.89131.902131.5460.356385-0.0122179
82131.89132.001131.7420.258624-0.111124
83131.96131.985132.052-0.067105-0.0249783
84131.99132.207132.463-0.25622-0.217114
85132132.245132.902-0.65747-0.244614
86132.06132.33133.362-1.03216-0.26951
87132.11133.218133.866-0.64872-1.10753
88132.88134.335134.423-0.0882509-1.45467
89135.48135.77135.0030.766801-0.290135
90136.56136.272135.5850.687010.288407
91136.96136.594136.1660.4284160.365751
92137.4137.007136.7550.2526870.39273
93138.32137.704137.3480.3563850.615699
94138.82138.173137.9150.2586240.646793
95138.96138.337138.404-0.0671050.622938
96138.94138.559138.815-0.256220.380803
97139138.54139.197-0.657470.460386
98139.19138.585139.617-1.032160.604657
99139.22139.47140.119-0.64872-0.25003
100139.37140.575140.664-0.0882509-1.2055
101140.74142.003141.2360.766801-1.26305
102141.17142.525141.8380.68701-1.35493
103141.51NANA0.428416NA
104142.94NANA0.252687NA
105144.81NANA0.356385NA
106145.41NANA0.258624NA
107146.11NANA-0.067105NA
108146.23NANA-0.25622NA



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')