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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 30 Jan 2018 10:21:50 +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/2018/Jan/30/t1517304173xd3ixb7iheikkbw.htm/, Retrieved Fri, 03 May 2024 02:42:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=312878, Retrieved Fri, 03 May 2024 02:42:42 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2018-01-30 09:21:50] [3c3f1142cbd5b1dfc6913e0ceac18617] [Current]
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Dataseries X:
56
55
54
52
72
71
56
46
47
47
48
50
44
38
33
33
52
54
39
22
31
31
38
42
41
31
36
34
51
47
31
19
30
33
36
40
32
25
28
29
55
55
40
38
44
41
49
59
61
47
43
39
66
68
63
68
67
59
68
78
82
70
62
68
94
102
100
104
103
93
110
114
120
102
95
103
122
139
135
135
137
130
148
148
145
128
131
133
146
163
151
157
152
149
172
167
160
150
160
165
171
179
171
176
170
169
194
196
188
174
186
191
197
206
197
204
201
190
213
213




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312878&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=312878&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312878&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
156NANA3.88272NA
255NANA-9.50154NA
354NANA-9.94599NA
452NANA-8.98765NA
572NANA7.25309NA
671NANA12.2901NA
75655.4985541.498460.501543
84650.794852.7917-1.99691-4.79475
94749.827251.2083-1.38117-2.82716
104743.683649.5417-5.858023.31636
114853.169847.91675.25309-5.16975
125053.868846.3757.49383-3.86883
134448.84144.95833.88272-4.84105
143833.748543.25-9.501544.25154
153331.637341.5833-9.945991.36265
163331.262340.25-8.987651.73765
175246.419839.16677.253095.58025
185450.706838.416712.29013.29321
193939.456837.95831.49846-0.45679
202235.544837.5417-1.99691-13.5448
213135.993837.375-1.38117-4.99383
223131.683637.5417-5.85802-0.683642
233842.794837.54175.25309-4.79475
244244.702237.20837.49383-2.70216
254140.46636.58333.882720.533951
263126.623536.125-9.501544.37654
273626.012335.9583-9.945999.98765
283427.012336-8.987656.98765
295143.2531367.253097.74691
304748.123535.833312.2901-1.12346
313136.873535.3751.49846-5.87346
321932.753134.75-1.99691-13.7531
333032.785534.1667-1.38117-2.78549
343327.76733.625-5.858025.23302
353638.836433.58335.25309-2.83642
364041.577234.08337.49383-1.57716
373238.674434.79173.88272-6.67438
382526.456835.9583-9.50154-1.45679
392827.387337.3333-9.945990.612654
402929.262338.25-8.98765-0.262346
415546.378139.1257.253098.62191
425552.748540.458312.29012.25154
434043.956842.45831.49846-3.95679
443842.586444.5833-1.99691-4.58642
454444.743846.125-1.38117-0.743827
464141.308647.1667-5.85802-0.308642
474953.294848.04175.25309-4.29475
485956.535549.04177.493832.46451
496154.424450.54173.882726.57562
504743.248552.75-9.501543.75154
514345.012354.9583-9.94599-2.01235
523947.67956.6667-8.98765-8.67901
536665.461458.20837.253090.53858
546872.081859.791712.2901-4.08179
556362.956861.45831.498460.0432099
566861.294863.2917-1.996916.70525
576763.660565.0417-1.381173.33951
585961.183667.0417-5.85802-2.18364
596874.669869.41675.25309-6.66975
607879.4938727.49383-1.49383
618278.84174.95833.882723.15895
627068.498578-9.501541.50154
636271.05481-9.94599-9.05401
646874.92983.9167-8.98765-6.92901
659494.336487.08337.25309-0.33642
66102102.62390.333312.2901-0.623457
6710094.915193.41671.498465.08488
6810494.336496.3333-1.996919.66358
6910397.660599.0417-1.381175.33951
709396.017101.875-5.85802-3.01698
71110109.753104.55.253090.246914
72114114.702107.2087.49383-0.70216
73120114.091110.2083.882725.90895
74102103.457112.958-9.50154-1.45679
7595105.721115.667-9.94599-10.7207
76103109.637118.625-8.98765-6.63735
77122129.003121.757.25309-7.00309
78139137.04124.7512.29011.95988
79135128.707127.2081.498466.29321
80135127.336129.333-1.996917.66358
81137130.535131.917-1.381176.46451
82130128.809134.667-5.858021.19136
83148142.17136.9175.253095.83025
84148146.41138.9177.493831.58951
85145144.466140.5833.882720.533951
86128132.665142.167-9.50154-4.66512
87131133.762143.708-9.94599-2.76235
88133136.137145.125-8.98765-3.13735
89146154.17146.9177.25309-8.16975
90163160.998148.70812.29012.00154
91151151.623150.1251.49846-0.623457
92157149.67151.667-1.996917.33025
93152152.41153.792-1.38117-0.410494
94149150.475156.333-5.85802-1.47531
95172163.961158.7085.253098.03858
96167167.91160.4177.49383-0.910494
97160165.799161.9173.88272-5.79938
98150154.04163.542-9.50154-4.04012
99160155.137165.083-9.945994.86265
100165157.679166.667-8.987657.32099
101171175.67168.4177.25309-4.66975
102179182.832170.54212.2901-3.83179
103171174.415172.9171.49846-3.41512
104176173.086175.083-1.996912.91358
105170175.785177.167-1.38117-5.78549
106169173.475179.333-5.85802-4.47531
107194186.753181.55.253097.24691
108196191.202183.7087.493834.79784
109188189.799185.9173.88272-1.79938
110174178.665188.167-9.50154-4.66512
111186180.679190.625-9.945995.32099
112191183.804192.792-8.987657.19599
113197201.711194.4587.25309-4.71142
114206208.248195.95812.2901-2.24846
115197NANA1.49846NA
116204NANA-1.99691NA
117201NANA-1.38117NA
118190NANA-5.85802NA
119213NANA5.25309NA
120213NANA7.49383NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 56 & NA & NA & 3.88272 & NA \tabularnewline
2 & 55 & NA & NA & -9.50154 & NA \tabularnewline
3 & 54 & NA & NA & -9.94599 & NA \tabularnewline
4 & 52 & NA & NA & -8.98765 & NA \tabularnewline
5 & 72 & NA & NA & 7.25309 & NA \tabularnewline
6 & 71 & NA & NA & 12.2901 & NA \tabularnewline
7 & 56 & 55.4985 & 54 & 1.49846 & 0.501543 \tabularnewline
8 & 46 & 50.7948 & 52.7917 & -1.99691 & -4.79475 \tabularnewline
9 & 47 & 49.8272 & 51.2083 & -1.38117 & -2.82716 \tabularnewline
10 & 47 & 43.6836 & 49.5417 & -5.85802 & 3.31636 \tabularnewline
11 & 48 & 53.1698 & 47.9167 & 5.25309 & -5.16975 \tabularnewline
12 & 50 & 53.8688 & 46.375 & 7.49383 & -3.86883 \tabularnewline
13 & 44 & 48.841 & 44.9583 & 3.88272 & -4.84105 \tabularnewline
14 & 38 & 33.7485 & 43.25 & -9.50154 & 4.25154 \tabularnewline
15 & 33 & 31.6373 & 41.5833 & -9.94599 & 1.36265 \tabularnewline
16 & 33 & 31.2623 & 40.25 & -8.98765 & 1.73765 \tabularnewline
17 & 52 & 46.4198 & 39.1667 & 7.25309 & 5.58025 \tabularnewline
18 & 54 & 50.7068 & 38.4167 & 12.2901 & 3.29321 \tabularnewline
19 & 39 & 39.4568 & 37.9583 & 1.49846 & -0.45679 \tabularnewline
20 & 22 & 35.5448 & 37.5417 & -1.99691 & -13.5448 \tabularnewline
21 & 31 & 35.9938 & 37.375 & -1.38117 & -4.99383 \tabularnewline
22 & 31 & 31.6836 & 37.5417 & -5.85802 & -0.683642 \tabularnewline
23 & 38 & 42.7948 & 37.5417 & 5.25309 & -4.79475 \tabularnewline
24 & 42 & 44.7022 & 37.2083 & 7.49383 & -2.70216 \tabularnewline
25 & 41 & 40.466 & 36.5833 & 3.88272 & 0.533951 \tabularnewline
26 & 31 & 26.6235 & 36.125 & -9.50154 & 4.37654 \tabularnewline
27 & 36 & 26.0123 & 35.9583 & -9.94599 & 9.98765 \tabularnewline
28 & 34 & 27.0123 & 36 & -8.98765 & 6.98765 \tabularnewline
29 & 51 & 43.2531 & 36 & 7.25309 & 7.74691 \tabularnewline
30 & 47 & 48.1235 & 35.8333 & 12.2901 & -1.12346 \tabularnewline
31 & 31 & 36.8735 & 35.375 & 1.49846 & -5.87346 \tabularnewline
32 & 19 & 32.7531 & 34.75 & -1.99691 & -13.7531 \tabularnewline
33 & 30 & 32.7855 & 34.1667 & -1.38117 & -2.78549 \tabularnewline
34 & 33 & 27.767 & 33.625 & -5.85802 & 5.23302 \tabularnewline
35 & 36 & 38.8364 & 33.5833 & 5.25309 & -2.83642 \tabularnewline
36 & 40 & 41.5772 & 34.0833 & 7.49383 & -1.57716 \tabularnewline
37 & 32 & 38.6744 & 34.7917 & 3.88272 & -6.67438 \tabularnewline
38 & 25 & 26.4568 & 35.9583 & -9.50154 & -1.45679 \tabularnewline
39 & 28 & 27.3873 & 37.3333 & -9.94599 & 0.612654 \tabularnewline
40 & 29 & 29.2623 & 38.25 & -8.98765 & -0.262346 \tabularnewline
41 & 55 & 46.3781 & 39.125 & 7.25309 & 8.62191 \tabularnewline
42 & 55 & 52.7485 & 40.4583 & 12.2901 & 2.25154 \tabularnewline
43 & 40 & 43.9568 & 42.4583 & 1.49846 & -3.95679 \tabularnewline
44 & 38 & 42.5864 & 44.5833 & -1.99691 & -4.58642 \tabularnewline
45 & 44 & 44.7438 & 46.125 & -1.38117 & -0.743827 \tabularnewline
46 & 41 & 41.3086 & 47.1667 & -5.85802 & -0.308642 \tabularnewline
47 & 49 & 53.2948 & 48.0417 & 5.25309 & -4.29475 \tabularnewline
48 & 59 & 56.5355 & 49.0417 & 7.49383 & 2.46451 \tabularnewline
49 & 61 & 54.4244 & 50.5417 & 3.88272 & 6.57562 \tabularnewline
50 & 47 & 43.2485 & 52.75 & -9.50154 & 3.75154 \tabularnewline
51 & 43 & 45.0123 & 54.9583 & -9.94599 & -2.01235 \tabularnewline
52 & 39 & 47.679 & 56.6667 & -8.98765 & -8.67901 \tabularnewline
53 & 66 & 65.4614 & 58.2083 & 7.25309 & 0.53858 \tabularnewline
54 & 68 & 72.0818 & 59.7917 & 12.2901 & -4.08179 \tabularnewline
55 & 63 & 62.9568 & 61.4583 & 1.49846 & 0.0432099 \tabularnewline
56 & 68 & 61.2948 & 63.2917 & -1.99691 & 6.70525 \tabularnewline
57 & 67 & 63.6605 & 65.0417 & -1.38117 & 3.33951 \tabularnewline
58 & 59 & 61.1836 & 67.0417 & -5.85802 & -2.18364 \tabularnewline
59 & 68 & 74.6698 & 69.4167 & 5.25309 & -6.66975 \tabularnewline
60 & 78 & 79.4938 & 72 & 7.49383 & -1.49383 \tabularnewline
61 & 82 & 78.841 & 74.9583 & 3.88272 & 3.15895 \tabularnewline
62 & 70 & 68.4985 & 78 & -9.50154 & 1.50154 \tabularnewline
63 & 62 & 71.054 & 81 & -9.94599 & -9.05401 \tabularnewline
64 & 68 & 74.929 & 83.9167 & -8.98765 & -6.92901 \tabularnewline
65 & 94 & 94.3364 & 87.0833 & 7.25309 & -0.33642 \tabularnewline
66 & 102 & 102.623 & 90.3333 & 12.2901 & -0.623457 \tabularnewline
67 & 100 & 94.9151 & 93.4167 & 1.49846 & 5.08488 \tabularnewline
68 & 104 & 94.3364 & 96.3333 & -1.99691 & 9.66358 \tabularnewline
69 & 103 & 97.6605 & 99.0417 & -1.38117 & 5.33951 \tabularnewline
70 & 93 & 96.017 & 101.875 & -5.85802 & -3.01698 \tabularnewline
71 & 110 & 109.753 & 104.5 & 5.25309 & 0.246914 \tabularnewline
72 & 114 & 114.702 & 107.208 & 7.49383 & -0.70216 \tabularnewline
73 & 120 & 114.091 & 110.208 & 3.88272 & 5.90895 \tabularnewline
74 & 102 & 103.457 & 112.958 & -9.50154 & -1.45679 \tabularnewline
75 & 95 & 105.721 & 115.667 & -9.94599 & -10.7207 \tabularnewline
76 & 103 & 109.637 & 118.625 & -8.98765 & -6.63735 \tabularnewline
77 & 122 & 129.003 & 121.75 & 7.25309 & -7.00309 \tabularnewline
78 & 139 & 137.04 & 124.75 & 12.2901 & 1.95988 \tabularnewline
79 & 135 & 128.707 & 127.208 & 1.49846 & 6.29321 \tabularnewline
80 & 135 & 127.336 & 129.333 & -1.99691 & 7.66358 \tabularnewline
81 & 137 & 130.535 & 131.917 & -1.38117 & 6.46451 \tabularnewline
82 & 130 & 128.809 & 134.667 & -5.85802 & 1.19136 \tabularnewline
83 & 148 & 142.17 & 136.917 & 5.25309 & 5.83025 \tabularnewline
84 & 148 & 146.41 & 138.917 & 7.49383 & 1.58951 \tabularnewline
85 & 145 & 144.466 & 140.583 & 3.88272 & 0.533951 \tabularnewline
86 & 128 & 132.665 & 142.167 & -9.50154 & -4.66512 \tabularnewline
87 & 131 & 133.762 & 143.708 & -9.94599 & -2.76235 \tabularnewline
88 & 133 & 136.137 & 145.125 & -8.98765 & -3.13735 \tabularnewline
89 & 146 & 154.17 & 146.917 & 7.25309 & -8.16975 \tabularnewline
90 & 163 & 160.998 & 148.708 & 12.2901 & 2.00154 \tabularnewline
91 & 151 & 151.623 & 150.125 & 1.49846 & -0.623457 \tabularnewline
92 & 157 & 149.67 & 151.667 & -1.99691 & 7.33025 \tabularnewline
93 & 152 & 152.41 & 153.792 & -1.38117 & -0.410494 \tabularnewline
94 & 149 & 150.475 & 156.333 & -5.85802 & -1.47531 \tabularnewline
95 & 172 & 163.961 & 158.708 & 5.25309 & 8.03858 \tabularnewline
96 & 167 & 167.91 & 160.417 & 7.49383 & -0.910494 \tabularnewline
97 & 160 & 165.799 & 161.917 & 3.88272 & -5.79938 \tabularnewline
98 & 150 & 154.04 & 163.542 & -9.50154 & -4.04012 \tabularnewline
99 & 160 & 155.137 & 165.083 & -9.94599 & 4.86265 \tabularnewline
100 & 165 & 157.679 & 166.667 & -8.98765 & 7.32099 \tabularnewline
101 & 171 & 175.67 & 168.417 & 7.25309 & -4.66975 \tabularnewline
102 & 179 & 182.832 & 170.542 & 12.2901 & -3.83179 \tabularnewline
103 & 171 & 174.415 & 172.917 & 1.49846 & -3.41512 \tabularnewline
104 & 176 & 173.086 & 175.083 & -1.99691 & 2.91358 \tabularnewline
105 & 170 & 175.785 & 177.167 & -1.38117 & -5.78549 \tabularnewline
106 & 169 & 173.475 & 179.333 & -5.85802 & -4.47531 \tabularnewline
107 & 194 & 186.753 & 181.5 & 5.25309 & 7.24691 \tabularnewline
108 & 196 & 191.202 & 183.708 & 7.49383 & 4.79784 \tabularnewline
109 & 188 & 189.799 & 185.917 & 3.88272 & -1.79938 \tabularnewline
110 & 174 & 178.665 & 188.167 & -9.50154 & -4.66512 \tabularnewline
111 & 186 & 180.679 & 190.625 & -9.94599 & 5.32099 \tabularnewline
112 & 191 & 183.804 & 192.792 & -8.98765 & 7.19599 \tabularnewline
113 & 197 & 201.711 & 194.458 & 7.25309 & -4.71142 \tabularnewline
114 & 206 & 208.248 & 195.958 & 12.2901 & -2.24846 \tabularnewline
115 & 197 & NA & NA & 1.49846 & NA \tabularnewline
116 & 204 & NA & NA & -1.99691 & NA \tabularnewline
117 & 201 & NA & NA & -1.38117 & NA \tabularnewline
118 & 190 & NA & NA & -5.85802 & NA \tabularnewline
119 & 213 & NA & NA & 5.25309 & NA \tabularnewline
120 & 213 & NA & NA & 7.49383 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312878&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]56[/C][C]NA[/C][C]NA[/C][C]3.88272[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]55[/C][C]NA[/C][C]NA[/C][C]-9.50154[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]54[/C][C]NA[/C][C]NA[/C][C]-9.94599[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]52[/C][C]NA[/C][C]NA[/C][C]-8.98765[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]72[/C][C]NA[/C][C]NA[/C][C]7.25309[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]71[/C][C]NA[/C][C]NA[/C][C]12.2901[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]56[/C][C]55.4985[/C][C]54[/C][C]1.49846[/C][C]0.501543[/C][/ROW]
[ROW][C]8[/C][C]46[/C][C]50.7948[/C][C]52.7917[/C][C]-1.99691[/C][C]-4.79475[/C][/ROW]
[ROW][C]9[/C][C]47[/C][C]49.8272[/C][C]51.2083[/C][C]-1.38117[/C][C]-2.82716[/C][/ROW]
[ROW][C]10[/C][C]47[/C][C]43.6836[/C][C]49.5417[/C][C]-5.85802[/C][C]3.31636[/C][/ROW]
[ROW][C]11[/C][C]48[/C][C]53.1698[/C][C]47.9167[/C][C]5.25309[/C][C]-5.16975[/C][/ROW]
[ROW][C]12[/C][C]50[/C][C]53.8688[/C][C]46.375[/C][C]7.49383[/C][C]-3.86883[/C][/ROW]
[ROW][C]13[/C][C]44[/C][C]48.841[/C][C]44.9583[/C][C]3.88272[/C][C]-4.84105[/C][/ROW]
[ROW][C]14[/C][C]38[/C][C]33.7485[/C][C]43.25[/C][C]-9.50154[/C][C]4.25154[/C][/ROW]
[ROW][C]15[/C][C]33[/C][C]31.6373[/C][C]41.5833[/C][C]-9.94599[/C][C]1.36265[/C][/ROW]
[ROW][C]16[/C][C]33[/C][C]31.2623[/C][C]40.25[/C][C]-8.98765[/C][C]1.73765[/C][/ROW]
[ROW][C]17[/C][C]52[/C][C]46.4198[/C][C]39.1667[/C][C]7.25309[/C][C]5.58025[/C][/ROW]
[ROW][C]18[/C][C]54[/C][C]50.7068[/C][C]38.4167[/C][C]12.2901[/C][C]3.29321[/C][/ROW]
[ROW][C]19[/C][C]39[/C][C]39.4568[/C][C]37.9583[/C][C]1.49846[/C][C]-0.45679[/C][/ROW]
[ROW][C]20[/C][C]22[/C][C]35.5448[/C][C]37.5417[/C][C]-1.99691[/C][C]-13.5448[/C][/ROW]
[ROW][C]21[/C][C]31[/C][C]35.9938[/C][C]37.375[/C][C]-1.38117[/C][C]-4.99383[/C][/ROW]
[ROW][C]22[/C][C]31[/C][C]31.6836[/C][C]37.5417[/C][C]-5.85802[/C][C]-0.683642[/C][/ROW]
[ROW][C]23[/C][C]38[/C][C]42.7948[/C][C]37.5417[/C][C]5.25309[/C][C]-4.79475[/C][/ROW]
[ROW][C]24[/C][C]42[/C][C]44.7022[/C][C]37.2083[/C][C]7.49383[/C][C]-2.70216[/C][/ROW]
[ROW][C]25[/C][C]41[/C][C]40.466[/C][C]36.5833[/C][C]3.88272[/C][C]0.533951[/C][/ROW]
[ROW][C]26[/C][C]31[/C][C]26.6235[/C][C]36.125[/C][C]-9.50154[/C][C]4.37654[/C][/ROW]
[ROW][C]27[/C][C]36[/C][C]26.0123[/C][C]35.9583[/C][C]-9.94599[/C][C]9.98765[/C][/ROW]
[ROW][C]28[/C][C]34[/C][C]27.0123[/C][C]36[/C][C]-8.98765[/C][C]6.98765[/C][/ROW]
[ROW][C]29[/C][C]51[/C][C]43.2531[/C][C]36[/C][C]7.25309[/C][C]7.74691[/C][/ROW]
[ROW][C]30[/C][C]47[/C][C]48.1235[/C][C]35.8333[/C][C]12.2901[/C][C]-1.12346[/C][/ROW]
[ROW][C]31[/C][C]31[/C][C]36.8735[/C][C]35.375[/C][C]1.49846[/C][C]-5.87346[/C][/ROW]
[ROW][C]32[/C][C]19[/C][C]32.7531[/C][C]34.75[/C][C]-1.99691[/C][C]-13.7531[/C][/ROW]
[ROW][C]33[/C][C]30[/C][C]32.7855[/C][C]34.1667[/C][C]-1.38117[/C][C]-2.78549[/C][/ROW]
[ROW][C]34[/C][C]33[/C][C]27.767[/C][C]33.625[/C][C]-5.85802[/C][C]5.23302[/C][/ROW]
[ROW][C]35[/C][C]36[/C][C]38.8364[/C][C]33.5833[/C][C]5.25309[/C][C]-2.83642[/C][/ROW]
[ROW][C]36[/C][C]40[/C][C]41.5772[/C][C]34.0833[/C][C]7.49383[/C][C]-1.57716[/C][/ROW]
[ROW][C]37[/C][C]32[/C][C]38.6744[/C][C]34.7917[/C][C]3.88272[/C][C]-6.67438[/C][/ROW]
[ROW][C]38[/C][C]25[/C][C]26.4568[/C][C]35.9583[/C][C]-9.50154[/C][C]-1.45679[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]27.3873[/C][C]37.3333[/C][C]-9.94599[/C][C]0.612654[/C][/ROW]
[ROW][C]40[/C][C]29[/C][C]29.2623[/C][C]38.25[/C][C]-8.98765[/C][C]-0.262346[/C][/ROW]
[ROW][C]41[/C][C]55[/C][C]46.3781[/C][C]39.125[/C][C]7.25309[/C][C]8.62191[/C][/ROW]
[ROW][C]42[/C][C]55[/C][C]52.7485[/C][C]40.4583[/C][C]12.2901[/C][C]2.25154[/C][/ROW]
[ROW][C]43[/C][C]40[/C][C]43.9568[/C][C]42.4583[/C][C]1.49846[/C][C]-3.95679[/C][/ROW]
[ROW][C]44[/C][C]38[/C][C]42.5864[/C][C]44.5833[/C][C]-1.99691[/C][C]-4.58642[/C][/ROW]
[ROW][C]45[/C][C]44[/C][C]44.7438[/C][C]46.125[/C][C]-1.38117[/C][C]-0.743827[/C][/ROW]
[ROW][C]46[/C][C]41[/C][C]41.3086[/C][C]47.1667[/C][C]-5.85802[/C][C]-0.308642[/C][/ROW]
[ROW][C]47[/C][C]49[/C][C]53.2948[/C][C]48.0417[/C][C]5.25309[/C][C]-4.29475[/C][/ROW]
[ROW][C]48[/C][C]59[/C][C]56.5355[/C][C]49.0417[/C][C]7.49383[/C][C]2.46451[/C][/ROW]
[ROW][C]49[/C][C]61[/C][C]54.4244[/C][C]50.5417[/C][C]3.88272[/C][C]6.57562[/C][/ROW]
[ROW][C]50[/C][C]47[/C][C]43.2485[/C][C]52.75[/C][C]-9.50154[/C][C]3.75154[/C][/ROW]
[ROW][C]51[/C][C]43[/C][C]45.0123[/C][C]54.9583[/C][C]-9.94599[/C][C]-2.01235[/C][/ROW]
[ROW][C]52[/C][C]39[/C][C]47.679[/C][C]56.6667[/C][C]-8.98765[/C][C]-8.67901[/C][/ROW]
[ROW][C]53[/C][C]66[/C][C]65.4614[/C][C]58.2083[/C][C]7.25309[/C][C]0.53858[/C][/ROW]
[ROW][C]54[/C][C]68[/C][C]72.0818[/C][C]59.7917[/C][C]12.2901[/C][C]-4.08179[/C][/ROW]
[ROW][C]55[/C][C]63[/C][C]62.9568[/C][C]61.4583[/C][C]1.49846[/C][C]0.0432099[/C][/ROW]
[ROW][C]56[/C][C]68[/C][C]61.2948[/C][C]63.2917[/C][C]-1.99691[/C][C]6.70525[/C][/ROW]
[ROW][C]57[/C][C]67[/C][C]63.6605[/C][C]65.0417[/C][C]-1.38117[/C][C]3.33951[/C][/ROW]
[ROW][C]58[/C][C]59[/C][C]61.1836[/C][C]67.0417[/C][C]-5.85802[/C][C]-2.18364[/C][/ROW]
[ROW][C]59[/C][C]68[/C][C]74.6698[/C][C]69.4167[/C][C]5.25309[/C][C]-6.66975[/C][/ROW]
[ROW][C]60[/C][C]78[/C][C]79.4938[/C][C]72[/C][C]7.49383[/C][C]-1.49383[/C][/ROW]
[ROW][C]61[/C][C]82[/C][C]78.841[/C][C]74.9583[/C][C]3.88272[/C][C]3.15895[/C][/ROW]
[ROW][C]62[/C][C]70[/C][C]68.4985[/C][C]78[/C][C]-9.50154[/C][C]1.50154[/C][/ROW]
[ROW][C]63[/C][C]62[/C][C]71.054[/C][C]81[/C][C]-9.94599[/C][C]-9.05401[/C][/ROW]
[ROW][C]64[/C][C]68[/C][C]74.929[/C][C]83.9167[/C][C]-8.98765[/C][C]-6.92901[/C][/ROW]
[ROW][C]65[/C][C]94[/C][C]94.3364[/C][C]87.0833[/C][C]7.25309[/C][C]-0.33642[/C][/ROW]
[ROW][C]66[/C][C]102[/C][C]102.623[/C][C]90.3333[/C][C]12.2901[/C][C]-0.623457[/C][/ROW]
[ROW][C]67[/C][C]100[/C][C]94.9151[/C][C]93.4167[/C][C]1.49846[/C][C]5.08488[/C][/ROW]
[ROW][C]68[/C][C]104[/C][C]94.3364[/C][C]96.3333[/C][C]-1.99691[/C][C]9.66358[/C][/ROW]
[ROW][C]69[/C][C]103[/C][C]97.6605[/C][C]99.0417[/C][C]-1.38117[/C][C]5.33951[/C][/ROW]
[ROW][C]70[/C][C]93[/C][C]96.017[/C][C]101.875[/C][C]-5.85802[/C][C]-3.01698[/C][/ROW]
[ROW][C]71[/C][C]110[/C][C]109.753[/C][C]104.5[/C][C]5.25309[/C][C]0.246914[/C][/ROW]
[ROW][C]72[/C][C]114[/C][C]114.702[/C][C]107.208[/C][C]7.49383[/C][C]-0.70216[/C][/ROW]
[ROW][C]73[/C][C]120[/C][C]114.091[/C][C]110.208[/C][C]3.88272[/C][C]5.90895[/C][/ROW]
[ROW][C]74[/C][C]102[/C][C]103.457[/C][C]112.958[/C][C]-9.50154[/C][C]-1.45679[/C][/ROW]
[ROW][C]75[/C][C]95[/C][C]105.721[/C][C]115.667[/C][C]-9.94599[/C][C]-10.7207[/C][/ROW]
[ROW][C]76[/C][C]103[/C][C]109.637[/C][C]118.625[/C][C]-8.98765[/C][C]-6.63735[/C][/ROW]
[ROW][C]77[/C][C]122[/C][C]129.003[/C][C]121.75[/C][C]7.25309[/C][C]-7.00309[/C][/ROW]
[ROW][C]78[/C][C]139[/C][C]137.04[/C][C]124.75[/C][C]12.2901[/C][C]1.95988[/C][/ROW]
[ROW][C]79[/C][C]135[/C][C]128.707[/C][C]127.208[/C][C]1.49846[/C][C]6.29321[/C][/ROW]
[ROW][C]80[/C][C]135[/C][C]127.336[/C][C]129.333[/C][C]-1.99691[/C][C]7.66358[/C][/ROW]
[ROW][C]81[/C][C]137[/C][C]130.535[/C][C]131.917[/C][C]-1.38117[/C][C]6.46451[/C][/ROW]
[ROW][C]82[/C][C]130[/C][C]128.809[/C][C]134.667[/C][C]-5.85802[/C][C]1.19136[/C][/ROW]
[ROW][C]83[/C][C]148[/C][C]142.17[/C][C]136.917[/C][C]5.25309[/C][C]5.83025[/C][/ROW]
[ROW][C]84[/C][C]148[/C][C]146.41[/C][C]138.917[/C][C]7.49383[/C][C]1.58951[/C][/ROW]
[ROW][C]85[/C][C]145[/C][C]144.466[/C][C]140.583[/C][C]3.88272[/C][C]0.533951[/C][/ROW]
[ROW][C]86[/C][C]128[/C][C]132.665[/C][C]142.167[/C][C]-9.50154[/C][C]-4.66512[/C][/ROW]
[ROW][C]87[/C][C]131[/C][C]133.762[/C][C]143.708[/C][C]-9.94599[/C][C]-2.76235[/C][/ROW]
[ROW][C]88[/C][C]133[/C][C]136.137[/C][C]145.125[/C][C]-8.98765[/C][C]-3.13735[/C][/ROW]
[ROW][C]89[/C][C]146[/C][C]154.17[/C][C]146.917[/C][C]7.25309[/C][C]-8.16975[/C][/ROW]
[ROW][C]90[/C][C]163[/C][C]160.998[/C][C]148.708[/C][C]12.2901[/C][C]2.00154[/C][/ROW]
[ROW][C]91[/C][C]151[/C][C]151.623[/C][C]150.125[/C][C]1.49846[/C][C]-0.623457[/C][/ROW]
[ROW][C]92[/C][C]157[/C][C]149.67[/C][C]151.667[/C][C]-1.99691[/C][C]7.33025[/C][/ROW]
[ROW][C]93[/C][C]152[/C][C]152.41[/C][C]153.792[/C][C]-1.38117[/C][C]-0.410494[/C][/ROW]
[ROW][C]94[/C][C]149[/C][C]150.475[/C][C]156.333[/C][C]-5.85802[/C][C]-1.47531[/C][/ROW]
[ROW][C]95[/C][C]172[/C][C]163.961[/C][C]158.708[/C][C]5.25309[/C][C]8.03858[/C][/ROW]
[ROW][C]96[/C][C]167[/C][C]167.91[/C][C]160.417[/C][C]7.49383[/C][C]-0.910494[/C][/ROW]
[ROW][C]97[/C][C]160[/C][C]165.799[/C][C]161.917[/C][C]3.88272[/C][C]-5.79938[/C][/ROW]
[ROW][C]98[/C][C]150[/C][C]154.04[/C][C]163.542[/C][C]-9.50154[/C][C]-4.04012[/C][/ROW]
[ROW][C]99[/C][C]160[/C][C]155.137[/C][C]165.083[/C][C]-9.94599[/C][C]4.86265[/C][/ROW]
[ROW][C]100[/C][C]165[/C][C]157.679[/C][C]166.667[/C][C]-8.98765[/C][C]7.32099[/C][/ROW]
[ROW][C]101[/C][C]171[/C][C]175.67[/C][C]168.417[/C][C]7.25309[/C][C]-4.66975[/C][/ROW]
[ROW][C]102[/C][C]179[/C][C]182.832[/C][C]170.542[/C][C]12.2901[/C][C]-3.83179[/C][/ROW]
[ROW][C]103[/C][C]171[/C][C]174.415[/C][C]172.917[/C][C]1.49846[/C][C]-3.41512[/C][/ROW]
[ROW][C]104[/C][C]176[/C][C]173.086[/C][C]175.083[/C][C]-1.99691[/C][C]2.91358[/C][/ROW]
[ROW][C]105[/C][C]170[/C][C]175.785[/C][C]177.167[/C][C]-1.38117[/C][C]-5.78549[/C][/ROW]
[ROW][C]106[/C][C]169[/C][C]173.475[/C][C]179.333[/C][C]-5.85802[/C][C]-4.47531[/C][/ROW]
[ROW][C]107[/C][C]194[/C][C]186.753[/C][C]181.5[/C][C]5.25309[/C][C]7.24691[/C][/ROW]
[ROW][C]108[/C][C]196[/C][C]191.202[/C][C]183.708[/C][C]7.49383[/C][C]4.79784[/C][/ROW]
[ROW][C]109[/C][C]188[/C][C]189.799[/C][C]185.917[/C][C]3.88272[/C][C]-1.79938[/C][/ROW]
[ROW][C]110[/C][C]174[/C][C]178.665[/C][C]188.167[/C][C]-9.50154[/C][C]-4.66512[/C][/ROW]
[ROW][C]111[/C][C]186[/C][C]180.679[/C][C]190.625[/C][C]-9.94599[/C][C]5.32099[/C][/ROW]
[ROW][C]112[/C][C]191[/C][C]183.804[/C][C]192.792[/C][C]-8.98765[/C][C]7.19599[/C][/ROW]
[ROW][C]113[/C][C]197[/C][C]201.711[/C][C]194.458[/C][C]7.25309[/C][C]-4.71142[/C][/ROW]
[ROW][C]114[/C][C]206[/C][C]208.248[/C][C]195.958[/C][C]12.2901[/C][C]-2.24846[/C][/ROW]
[ROW][C]115[/C][C]197[/C][C]NA[/C][C]NA[/C][C]1.49846[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]204[/C][C]NA[/C][C]NA[/C][C]-1.99691[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]201[/C][C]NA[/C][C]NA[/C][C]-1.38117[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]190[/C][C]NA[/C][C]NA[/C][C]-5.85802[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]213[/C][C]NA[/C][C]NA[/C][C]5.25309[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]213[/C][C]NA[/C][C]NA[/C][C]7.49383[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312878&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312878&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
156NANA3.88272NA
255NANA-9.50154NA
354NANA-9.94599NA
452NANA-8.98765NA
572NANA7.25309NA
671NANA12.2901NA
75655.4985541.498460.501543
84650.794852.7917-1.99691-4.79475
94749.827251.2083-1.38117-2.82716
104743.683649.5417-5.858023.31636
114853.169847.91675.25309-5.16975
125053.868846.3757.49383-3.86883
134448.84144.95833.88272-4.84105
143833.748543.25-9.501544.25154
153331.637341.5833-9.945991.36265
163331.262340.25-8.987651.73765
175246.419839.16677.253095.58025
185450.706838.416712.29013.29321
193939.456837.95831.49846-0.45679
202235.544837.5417-1.99691-13.5448
213135.993837.375-1.38117-4.99383
223131.683637.5417-5.85802-0.683642
233842.794837.54175.25309-4.79475
244244.702237.20837.49383-2.70216
254140.46636.58333.882720.533951
263126.623536.125-9.501544.37654
273626.012335.9583-9.945999.98765
283427.012336-8.987656.98765
295143.2531367.253097.74691
304748.123535.833312.2901-1.12346
313136.873535.3751.49846-5.87346
321932.753134.75-1.99691-13.7531
333032.785534.1667-1.38117-2.78549
343327.76733.625-5.858025.23302
353638.836433.58335.25309-2.83642
364041.577234.08337.49383-1.57716
373238.674434.79173.88272-6.67438
382526.456835.9583-9.50154-1.45679
392827.387337.3333-9.945990.612654
402929.262338.25-8.98765-0.262346
415546.378139.1257.253098.62191
425552.748540.458312.29012.25154
434043.956842.45831.49846-3.95679
443842.586444.5833-1.99691-4.58642
454444.743846.125-1.38117-0.743827
464141.308647.1667-5.85802-0.308642
474953.294848.04175.25309-4.29475
485956.535549.04177.493832.46451
496154.424450.54173.882726.57562
504743.248552.75-9.501543.75154
514345.012354.9583-9.94599-2.01235
523947.67956.6667-8.98765-8.67901
536665.461458.20837.253090.53858
546872.081859.791712.2901-4.08179
556362.956861.45831.498460.0432099
566861.294863.2917-1.996916.70525
576763.660565.0417-1.381173.33951
585961.183667.0417-5.85802-2.18364
596874.669869.41675.25309-6.66975
607879.4938727.49383-1.49383
618278.84174.95833.882723.15895
627068.498578-9.501541.50154
636271.05481-9.94599-9.05401
646874.92983.9167-8.98765-6.92901
659494.336487.08337.25309-0.33642
66102102.62390.333312.2901-0.623457
6710094.915193.41671.498465.08488
6810494.336496.3333-1.996919.66358
6910397.660599.0417-1.381175.33951
709396.017101.875-5.85802-3.01698
71110109.753104.55.253090.246914
72114114.702107.2087.49383-0.70216
73120114.091110.2083.882725.90895
74102103.457112.958-9.50154-1.45679
7595105.721115.667-9.94599-10.7207
76103109.637118.625-8.98765-6.63735
77122129.003121.757.25309-7.00309
78139137.04124.7512.29011.95988
79135128.707127.2081.498466.29321
80135127.336129.333-1.996917.66358
81137130.535131.917-1.381176.46451
82130128.809134.667-5.858021.19136
83148142.17136.9175.253095.83025
84148146.41138.9177.493831.58951
85145144.466140.5833.882720.533951
86128132.665142.167-9.50154-4.66512
87131133.762143.708-9.94599-2.76235
88133136.137145.125-8.98765-3.13735
89146154.17146.9177.25309-8.16975
90163160.998148.70812.29012.00154
91151151.623150.1251.49846-0.623457
92157149.67151.667-1.996917.33025
93152152.41153.792-1.38117-0.410494
94149150.475156.333-5.85802-1.47531
95172163.961158.7085.253098.03858
96167167.91160.4177.49383-0.910494
97160165.799161.9173.88272-5.79938
98150154.04163.542-9.50154-4.04012
99160155.137165.083-9.945994.86265
100165157.679166.667-8.987657.32099
101171175.67168.4177.25309-4.66975
102179182.832170.54212.2901-3.83179
103171174.415172.9171.49846-3.41512
104176173.086175.083-1.996912.91358
105170175.785177.167-1.38117-5.78549
106169173.475179.333-5.85802-4.47531
107194186.753181.55.253097.24691
108196191.202183.7087.493834.79784
109188189.799185.9173.88272-1.79938
110174178.665188.167-9.50154-4.66512
111186180.679190.625-9.945995.32099
112191183.804192.792-8.987657.19599
113197201.711194.4587.25309-4.71142
114206208.248195.95812.2901-2.24846
115197NANA1.49846NA
116204NANA-1.99691NA
117201NANA-1.38117NA
118190NANA-5.85802NA
119213NANA5.25309NA
120213NANA7.49383NA



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