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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 04 Dec 2009 07:52:58 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259938469akt76117z9mdlil.htm/, Retrieved Sat, 27 Apr 2024 23:27:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63677, Retrieved Sat, 27 Apr 2024 23:27:09 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS9
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
- R PD      [Classical Decomposition] [] [2009-12-04 14:52:58] [804cfcbb1316ddd20a1b05c1540f0b0b] [Current]
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Dataseries X:
106370
109375
116476
123297
114813
117925
126466
131235
120546
123791
129813
133463
122987
125418
130199
133016
121454
122044
128313
131556
120027
123001
130111
132524
123742
124931
133646
136557
127509
128945
137191
139716
129083
131604
139413
143125
133948
137116
144864
149277
138796
143258
150034
154708
144888
148762
156500
161088
152772
158011
163318
169969
162269
165765
170600
174681
166364
170240
176150
182056
172218
177856
182253
188090
176863
183273
187969
194650
183036
189516
193805
200499
188142
193732
197126
205140
191751
196700
199784
207360
196101
200824
205743
212489
200810
203683
207286
210910
194915
217920




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63677&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63677&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63677&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'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1106370NANA-5397.39880952381NA
2109375NANA-2732.01190476190NA
3116476117118.321428571114934.8752183.44642857143-642.321428571435
4123297123004.9642857141170595945.96428571429292.03571428571
5114813113979.101190476119376.5-5397.39880952381833.898809523816
6117925118885.488095238121617.5-2732.01190476190-960.488095238092
7126466125509.821428571123326.3752183.44642857143956.178571428565
8131235130722.214285714124776.255945.96428571429512.78571428571
9120546120530.476190476125927.875-5397.3988095238115.5238095238165
10123791123892.738095238126624.75-2732.01190476190-101.738095238092
11129813129391.821428571127208.3752183.44642857143421.178571428565
12133463133662.839285714127716.8755945.96428571429-199.83928571429
13122987122571.101190476127968.5-5397.39880952381415.898809523816
14125418125228.863095238127960.875-2732.01190476190189.136904761908
15130199129896.821428571127713.3752183.44642857143302.178571428565
16133016133045.9642857141271005945.96428571429-29.9642857142899
17121454121045.101190476126442.5-5397.39880952381408.898809523816
18122044123292.238095238126024.25-2732.01190476190-1248.23809523809
19128313127846.821428571125663.3752183.44642857143466.178571428565
20131556131550.589285714125604.6255945.964285714295.41071428571013
21120027120551.601190476125949-5397.39880952381-524.601190476184
22123001123562.738095238126294.75-2732.01190476190-561.738095238092
23130111129063.571428571126880.1252183.446428571431047.42857142857
24132524133531.714285714127585.755945.96428571429-1007.71428571429
25123742122871.476190476128268.875-5397.39880952381870.523809523816
26124931126482.863095238129214.875-2732.01190476190-1551.86309523809
27133646132373.321428571130189.8752183.446428571431272.67857142858
28136557137108.464285714131162.55945.96428571429-551.46428571429
29127509126709.976190476132107.375-5397.39880952381799.023809523816
30128945130213.363095238132945.375-2732.01190476190-1268.36309523811
31137191135720.4464285711335372183.446428571431470.55357142858
32139716140012.089285714134066.1255945.96428571429-296.08928571429
33129083129278.851190476134676.25-5397.39880952381-195.851190476184
34131604132648.113095238135380.125-2732.01190476190-1044.11309523811
35139413138597.821428571136414.3752183.44642857143815.17857142858
36143125143657.464285714137711.55945.96428571429-532.46428571429
37133948133684.476190476139081.875-5397.39880952381263.523809523816
38137116137800.238095238140532.25-2732.01190476190-684.238095238106
39144864144090.696428571141907.252183.44642857143773.30357142858
40149277149226.9642857141432815945.9642857142950.0357142857101
41138796139297.601190476144695-5397.39880952381-501.601190476184
42143258143288.113095238146020.125-2732.01190476190-30.1130952381063
43150034149643.946428571147460.52183.44642857143390.05357142858
44154708154855.9642857141489105945.96428571429-147.96428571429
45144888145008.851190476150406.25-5397.39880952381-120.851190476184
46148762149279.988095238152012-2732.01190476190-517.988095238106
47156500155978.4464285711537952183.44642857143521.55357142858
48161088161882.589285714155936.6255945.96428571429-794.58928571429
49152772152547.601190476157945-5397.39880952381224.398809523816
50158011157175.363095238159907.375-2732.01190476190835.636904761894
51163318164388.071428571162204.6252183.44642857143-1070.07142857142
52169969170306.9642857141643615945.96428571429-337.96428571429
53162269160843.101190476166240.5-5397.398809523811425.89880952382
54165765165007.738095238167739.75-2732.01190476190757.261904761894
55170600171024.071428571168840.6252183.44642857143-424.07142857142
56174681175857.839285714169911.8755945.96428571429-1176.83928571429
57166364165767.601190476171165-5397.39880952381596.398809523816
58170240170048.613095238172780.625-2732.01190476190191.386904761894
59176150176617.696428571174434.252183.44642857143-467.69642857142
60182056182063.9642857141761185945.96428571429-7.96428571428987
61172218172435.476190476177832.875-5397.39880952381-217.476190476184
62177856176617.988095238179350-2732.011904761901238.01190476189
63182253182868.321428571180684.8752183.44642857143-615.32142857142
64188090187888.589285714181942.6255945.96428571429201.41071428571
65176863177936.851190476183334.25-5397.39880952381-1073.85119047618
66183273182136.738095238184868.75-2732.011904761901136.26190476189
67187969188643.821428571186460.3752183.44642857143-674.82142857142
68194650193958.339285714188012.3755945.96428571429691.66071428571
69183036184124.851190476189522.25-5397.39880952381-1088.85119047618
70189516188250.863095238190982.875-2732.011904761901265.13690476189
71193805194535.696428571192352.252183.44642857143-730.69642857142
72200499199463.464285714193517.55945.964285714291035.53571428571
73188142189062.226190476194459.625-5397.39880952381-920.226190476184
74193732192722.863095238195454.875-2732.011904761901009.13690476189
75197126198669.571428571196486.1252183.44642857143-1543.57142857142
76205140203254.214285714197308.255945.964285714291885.78571428571
77191751192614.101190476198011.5-5397.39880952381-863.101190476184
78196700195889.238095238198621.25-2732.01190476190810.761904761894
79199784201625.946428571199442.52183.44642857143-1841.94642857142
80207360206447.714285714200501.755945.96428571429912.28571428571
81196101196364.726190476201762.125-5397.39880952381-263.726190476184
82200824200416.113095238203148.125-2732.01190476190407.886904761894
83205743206561.321428571204377.8752183.44642857143-818.32142857142
84212489211269.839285714205323.8755945.964285714291219.16071428571
85200810200476.726190476205874.125-5397.39880952381333.273809523816
86203683203137.613095238205869.625-2732.01190476190545.386904761894
87207286207118.821428571204935.3752183.44642857143167.178571428580
88210910211924.089285714205978.1255945.96428571429-1014.08928571429
89194915NANANANA
90217920NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 106370 & NA & NA & -5397.39880952381 & NA \tabularnewline
2 & 109375 & NA & NA & -2732.01190476190 & NA \tabularnewline
3 & 116476 & 117118.321428571 & 114934.875 & 2183.44642857143 & -642.321428571435 \tabularnewline
4 & 123297 & 123004.964285714 & 117059 & 5945.96428571429 & 292.03571428571 \tabularnewline
5 & 114813 & 113979.101190476 & 119376.5 & -5397.39880952381 & 833.898809523816 \tabularnewline
6 & 117925 & 118885.488095238 & 121617.5 & -2732.01190476190 & -960.488095238092 \tabularnewline
7 & 126466 & 125509.821428571 & 123326.375 & 2183.44642857143 & 956.178571428565 \tabularnewline
8 & 131235 & 130722.214285714 & 124776.25 & 5945.96428571429 & 512.78571428571 \tabularnewline
9 & 120546 & 120530.476190476 & 125927.875 & -5397.39880952381 & 15.5238095238165 \tabularnewline
10 & 123791 & 123892.738095238 & 126624.75 & -2732.01190476190 & -101.738095238092 \tabularnewline
11 & 129813 & 129391.821428571 & 127208.375 & 2183.44642857143 & 421.178571428565 \tabularnewline
12 & 133463 & 133662.839285714 & 127716.875 & 5945.96428571429 & -199.83928571429 \tabularnewline
13 & 122987 & 122571.101190476 & 127968.5 & -5397.39880952381 & 415.898809523816 \tabularnewline
14 & 125418 & 125228.863095238 & 127960.875 & -2732.01190476190 & 189.136904761908 \tabularnewline
15 & 130199 & 129896.821428571 & 127713.375 & 2183.44642857143 & 302.178571428565 \tabularnewline
16 & 133016 & 133045.964285714 & 127100 & 5945.96428571429 & -29.9642857142899 \tabularnewline
17 & 121454 & 121045.101190476 & 126442.5 & -5397.39880952381 & 408.898809523816 \tabularnewline
18 & 122044 & 123292.238095238 & 126024.25 & -2732.01190476190 & -1248.23809523809 \tabularnewline
19 & 128313 & 127846.821428571 & 125663.375 & 2183.44642857143 & 466.178571428565 \tabularnewline
20 & 131556 & 131550.589285714 & 125604.625 & 5945.96428571429 & 5.41071428571013 \tabularnewline
21 & 120027 & 120551.601190476 & 125949 & -5397.39880952381 & -524.601190476184 \tabularnewline
22 & 123001 & 123562.738095238 & 126294.75 & -2732.01190476190 & -561.738095238092 \tabularnewline
23 & 130111 & 129063.571428571 & 126880.125 & 2183.44642857143 & 1047.42857142857 \tabularnewline
24 & 132524 & 133531.714285714 & 127585.75 & 5945.96428571429 & -1007.71428571429 \tabularnewline
25 & 123742 & 122871.476190476 & 128268.875 & -5397.39880952381 & 870.523809523816 \tabularnewline
26 & 124931 & 126482.863095238 & 129214.875 & -2732.01190476190 & -1551.86309523809 \tabularnewline
27 & 133646 & 132373.321428571 & 130189.875 & 2183.44642857143 & 1272.67857142858 \tabularnewline
28 & 136557 & 137108.464285714 & 131162.5 & 5945.96428571429 & -551.46428571429 \tabularnewline
29 & 127509 & 126709.976190476 & 132107.375 & -5397.39880952381 & 799.023809523816 \tabularnewline
30 & 128945 & 130213.363095238 & 132945.375 & -2732.01190476190 & -1268.36309523811 \tabularnewline
31 & 137191 & 135720.446428571 & 133537 & 2183.44642857143 & 1470.55357142858 \tabularnewline
32 & 139716 & 140012.089285714 & 134066.125 & 5945.96428571429 & -296.08928571429 \tabularnewline
33 & 129083 & 129278.851190476 & 134676.25 & -5397.39880952381 & -195.851190476184 \tabularnewline
34 & 131604 & 132648.113095238 & 135380.125 & -2732.01190476190 & -1044.11309523811 \tabularnewline
35 & 139413 & 138597.821428571 & 136414.375 & 2183.44642857143 & 815.17857142858 \tabularnewline
36 & 143125 & 143657.464285714 & 137711.5 & 5945.96428571429 & -532.46428571429 \tabularnewline
37 & 133948 & 133684.476190476 & 139081.875 & -5397.39880952381 & 263.523809523816 \tabularnewline
38 & 137116 & 137800.238095238 & 140532.25 & -2732.01190476190 & -684.238095238106 \tabularnewline
39 & 144864 & 144090.696428571 & 141907.25 & 2183.44642857143 & 773.30357142858 \tabularnewline
40 & 149277 & 149226.964285714 & 143281 & 5945.96428571429 & 50.0357142857101 \tabularnewline
41 & 138796 & 139297.601190476 & 144695 & -5397.39880952381 & -501.601190476184 \tabularnewline
42 & 143258 & 143288.113095238 & 146020.125 & -2732.01190476190 & -30.1130952381063 \tabularnewline
43 & 150034 & 149643.946428571 & 147460.5 & 2183.44642857143 & 390.05357142858 \tabularnewline
44 & 154708 & 154855.964285714 & 148910 & 5945.96428571429 & -147.96428571429 \tabularnewline
45 & 144888 & 145008.851190476 & 150406.25 & -5397.39880952381 & -120.851190476184 \tabularnewline
46 & 148762 & 149279.988095238 & 152012 & -2732.01190476190 & -517.988095238106 \tabularnewline
47 & 156500 & 155978.446428571 & 153795 & 2183.44642857143 & 521.55357142858 \tabularnewline
48 & 161088 & 161882.589285714 & 155936.625 & 5945.96428571429 & -794.58928571429 \tabularnewline
49 & 152772 & 152547.601190476 & 157945 & -5397.39880952381 & 224.398809523816 \tabularnewline
50 & 158011 & 157175.363095238 & 159907.375 & -2732.01190476190 & 835.636904761894 \tabularnewline
51 & 163318 & 164388.071428571 & 162204.625 & 2183.44642857143 & -1070.07142857142 \tabularnewline
52 & 169969 & 170306.964285714 & 164361 & 5945.96428571429 & -337.96428571429 \tabularnewline
53 & 162269 & 160843.101190476 & 166240.5 & -5397.39880952381 & 1425.89880952382 \tabularnewline
54 & 165765 & 165007.738095238 & 167739.75 & -2732.01190476190 & 757.261904761894 \tabularnewline
55 & 170600 & 171024.071428571 & 168840.625 & 2183.44642857143 & -424.07142857142 \tabularnewline
56 & 174681 & 175857.839285714 & 169911.875 & 5945.96428571429 & -1176.83928571429 \tabularnewline
57 & 166364 & 165767.601190476 & 171165 & -5397.39880952381 & 596.398809523816 \tabularnewline
58 & 170240 & 170048.613095238 & 172780.625 & -2732.01190476190 & 191.386904761894 \tabularnewline
59 & 176150 & 176617.696428571 & 174434.25 & 2183.44642857143 & -467.69642857142 \tabularnewline
60 & 182056 & 182063.964285714 & 176118 & 5945.96428571429 & -7.96428571428987 \tabularnewline
61 & 172218 & 172435.476190476 & 177832.875 & -5397.39880952381 & -217.476190476184 \tabularnewline
62 & 177856 & 176617.988095238 & 179350 & -2732.01190476190 & 1238.01190476189 \tabularnewline
63 & 182253 & 182868.321428571 & 180684.875 & 2183.44642857143 & -615.32142857142 \tabularnewline
64 & 188090 & 187888.589285714 & 181942.625 & 5945.96428571429 & 201.41071428571 \tabularnewline
65 & 176863 & 177936.851190476 & 183334.25 & -5397.39880952381 & -1073.85119047618 \tabularnewline
66 & 183273 & 182136.738095238 & 184868.75 & -2732.01190476190 & 1136.26190476189 \tabularnewline
67 & 187969 & 188643.821428571 & 186460.375 & 2183.44642857143 & -674.82142857142 \tabularnewline
68 & 194650 & 193958.339285714 & 188012.375 & 5945.96428571429 & 691.66071428571 \tabularnewline
69 & 183036 & 184124.851190476 & 189522.25 & -5397.39880952381 & -1088.85119047618 \tabularnewline
70 & 189516 & 188250.863095238 & 190982.875 & -2732.01190476190 & 1265.13690476189 \tabularnewline
71 & 193805 & 194535.696428571 & 192352.25 & 2183.44642857143 & -730.69642857142 \tabularnewline
72 & 200499 & 199463.464285714 & 193517.5 & 5945.96428571429 & 1035.53571428571 \tabularnewline
73 & 188142 & 189062.226190476 & 194459.625 & -5397.39880952381 & -920.226190476184 \tabularnewline
74 & 193732 & 192722.863095238 & 195454.875 & -2732.01190476190 & 1009.13690476189 \tabularnewline
75 & 197126 & 198669.571428571 & 196486.125 & 2183.44642857143 & -1543.57142857142 \tabularnewline
76 & 205140 & 203254.214285714 & 197308.25 & 5945.96428571429 & 1885.78571428571 \tabularnewline
77 & 191751 & 192614.101190476 & 198011.5 & -5397.39880952381 & -863.101190476184 \tabularnewline
78 & 196700 & 195889.238095238 & 198621.25 & -2732.01190476190 & 810.761904761894 \tabularnewline
79 & 199784 & 201625.946428571 & 199442.5 & 2183.44642857143 & -1841.94642857142 \tabularnewline
80 & 207360 & 206447.714285714 & 200501.75 & 5945.96428571429 & 912.28571428571 \tabularnewline
81 & 196101 & 196364.726190476 & 201762.125 & -5397.39880952381 & -263.726190476184 \tabularnewline
82 & 200824 & 200416.113095238 & 203148.125 & -2732.01190476190 & 407.886904761894 \tabularnewline
83 & 205743 & 206561.321428571 & 204377.875 & 2183.44642857143 & -818.32142857142 \tabularnewline
84 & 212489 & 211269.839285714 & 205323.875 & 5945.96428571429 & 1219.16071428571 \tabularnewline
85 & 200810 & 200476.726190476 & 205874.125 & -5397.39880952381 & 333.273809523816 \tabularnewline
86 & 203683 & 203137.613095238 & 205869.625 & -2732.01190476190 & 545.386904761894 \tabularnewline
87 & 207286 & 207118.821428571 & 204935.375 & 2183.44642857143 & 167.178571428580 \tabularnewline
88 & 210910 & 211924.089285714 & 205978.125 & 5945.96428571429 & -1014.08928571429 \tabularnewline
89 & 194915 & NA & NA & NA & NA \tabularnewline
90 & 217920 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63677&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]106370[/C][C]NA[/C][C]NA[/C][C]-5397.39880952381[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]109375[/C][C]NA[/C][C]NA[/C][C]-2732.01190476190[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]116476[/C][C]117118.321428571[/C][C]114934.875[/C][C]2183.44642857143[/C][C]-642.321428571435[/C][/ROW]
[ROW][C]4[/C][C]123297[/C][C]123004.964285714[/C][C]117059[/C][C]5945.96428571429[/C][C]292.03571428571[/C][/ROW]
[ROW][C]5[/C][C]114813[/C][C]113979.101190476[/C][C]119376.5[/C][C]-5397.39880952381[/C][C]833.898809523816[/C][/ROW]
[ROW][C]6[/C][C]117925[/C][C]118885.488095238[/C][C]121617.5[/C][C]-2732.01190476190[/C][C]-960.488095238092[/C][/ROW]
[ROW][C]7[/C][C]126466[/C][C]125509.821428571[/C][C]123326.375[/C][C]2183.44642857143[/C][C]956.178571428565[/C][/ROW]
[ROW][C]8[/C][C]131235[/C][C]130722.214285714[/C][C]124776.25[/C][C]5945.96428571429[/C][C]512.78571428571[/C][/ROW]
[ROW][C]9[/C][C]120546[/C][C]120530.476190476[/C][C]125927.875[/C][C]-5397.39880952381[/C][C]15.5238095238165[/C][/ROW]
[ROW][C]10[/C][C]123791[/C][C]123892.738095238[/C][C]126624.75[/C][C]-2732.01190476190[/C][C]-101.738095238092[/C][/ROW]
[ROW][C]11[/C][C]129813[/C][C]129391.821428571[/C][C]127208.375[/C][C]2183.44642857143[/C][C]421.178571428565[/C][/ROW]
[ROW][C]12[/C][C]133463[/C][C]133662.839285714[/C][C]127716.875[/C][C]5945.96428571429[/C][C]-199.83928571429[/C][/ROW]
[ROW][C]13[/C][C]122987[/C][C]122571.101190476[/C][C]127968.5[/C][C]-5397.39880952381[/C][C]415.898809523816[/C][/ROW]
[ROW][C]14[/C][C]125418[/C][C]125228.863095238[/C][C]127960.875[/C][C]-2732.01190476190[/C][C]189.136904761908[/C][/ROW]
[ROW][C]15[/C][C]130199[/C][C]129896.821428571[/C][C]127713.375[/C][C]2183.44642857143[/C][C]302.178571428565[/C][/ROW]
[ROW][C]16[/C][C]133016[/C][C]133045.964285714[/C][C]127100[/C][C]5945.96428571429[/C][C]-29.9642857142899[/C][/ROW]
[ROW][C]17[/C][C]121454[/C][C]121045.101190476[/C][C]126442.5[/C][C]-5397.39880952381[/C][C]408.898809523816[/C][/ROW]
[ROW][C]18[/C][C]122044[/C][C]123292.238095238[/C][C]126024.25[/C][C]-2732.01190476190[/C][C]-1248.23809523809[/C][/ROW]
[ROW][C]19[/C][C]128313[/C][C]127846.821428571[/C][C]125663.375[/C][C]2183.44642857143[/C][C]466.178571428565[/C][/ROW]
[ROW][C]20[/C][C]131556[/C][C]131550.589285714[/C][C]125604.625[/C][C]5945.96428571429[/C][C]5.41071428571013[/C][/ROW]
[ROW][C]21[/C][C]120027[/C][C]120551.601190476[/C][C]125949[/C][C]-5397.39880952381[/C][C]-524.601190476184[/C][/ROW]
[ROW][C]22[/C][C]123001[/C][C]123562.738095238[/C][C]126294.75[/C][C]-2732.01190476190[/C][C]-561.738095238092[/C][/ROW]
[ROW][C]23[/C][C]130111[/C][C]129063.571428571[/C][C]126880.125[/C][C]2183.44642857143[/C][C]1047.42857142857[/C][/ROW]
[ROW][C]24[/C][C]132524[/C][C]133531.714285714[/C][C]127585.75[/C][C]5945.96428571429[/C][C]-1007.71428571429[/C][/ROW]
[ROW][C]25[/C][C]123742[/C][C]122871.476190476[/C][C]128268.875[/C][C]-5397.39880952381[/C][C]870.523809523816[/C][/ROW]
[ROW][C]26[/C][C]124931[/C][C]126482.863095238[/C][C]129214.875[/C][C]-2732.01190476190[/C][C]-1551.86309523809[/C][/ROW]
[ROW][C]27[/C][C]133646[/C][C]132373.321428571[/C][C]130189.875[/C][C]2183.44642857143[/C][C]1272.67857142858[/C][/ROW]
[ROW][C]28[/C][C]136557[/C][C]137108.464285714[/C][C]131162.5[/C][C]5945.96428571429[/C][C]-551.46428571429[/C][/ROW]
[ROW][C]29[/C][C]127509[/C][C]126709.976190476[/C][C]132107.375[/C][C]-5397.39880952381[/C][C]799.023809523816[/C][/ROW]
[ROW][C]30[/C][C]128945[/C][C]130213.363095238[/C][C]132945.375[/C][C]-2732.01190476190[/C][C]-1268.36309523811[/C][/ROW]
[ROW][C]31[/C][C]137191[/C][C]135720.446428571[/C][C]133537[/C][C]2183.44642857143[/C][C]1470.55357142858[/C][/ROW]
[ROW][C]32[/C][C]139716[/C][C]140012.089285714[/C][C]134066.125[/C][C]5945.96428571429[/C][C]-296.08928571429[/C][/ROW]
[ROW][C]33[/C][C]129083[/C][C]129278.851190476[/C][C]134676.25[/C][C]-5397.39880952381[/C][C]-195.851190476184[/C][/ROW]
[ROW][C]34[/C][C]131604[/C][C]132648.113095238[/C][C]135380.125[/C][C]-2732.01190476190[/C][C]-1044.11309523811[/C][/ROW]
[ROW][C]35[/C][C]139413[/C][C]138597.821428571[/C][C]136414.375[/C][C]2183.44642857143[/C][C]815.17857142858[/C][/ROW]
[ROW][C]36[/C][C]143125[/C][C]143657.464285714[/C][C]137711.5[/C][C]5945.96428571429[/C][C]-532.46428571429[/C][/ROW]
[ROW][C]37[/C][C]133948[/C][C]133684.476190476[/C][C]139081.875[/C][C]-5397.39880952381[/C][C]263.523809523816[/C][/ROW]
[ROW][C]38[/C][C]137116[/C][C]137800.238095238[/C][C]140532.25[/C][C]-2732.01190476190[/C][C]-684.238095238106[/C][/ROW]
[ROW][C]39[/C][C]144864[/C][C]144090.696428571[/C][C]141907.25[/C][C]2183.44642857143[/C][C]773.30357142858[/C][/ROW]
[ROW][C]40[/C][C]149277[/C][C]149226.964285714[/C][C]143281[/C][C]5945.96428571429[/C][C]50.0357142857101[/C][/ROW]
[ROW][C]41[/C][C]138796[/C][C]139297.601190476[/C][C]144695[/C][C]-5397.39880952381[/C][C]-501.601190476184[/C][/ROW]
[ROW][C]42[/C][C]143258[/C][C]143288.113095238[/C][C]146020.125[/C][C]-2732.01190476190[/C][C]-30.1130952381063[/C][/ROW]
[ROW][C]43[/C][C]150034[/C][C]149643.946428571[/C][C]147460.5[/C][C]2183.44642857143[/C][C]390.05357142858[/C][/ROW]
[ROW][C]44[/C][C]154708[/C][C]154855.964285714[/C][C]148910[/C][C]5945.96428571429[/C][C]-147.96428571429[/C][/ROW]
[ROW][C]45[/C][C]144888[/C][C]145008.851190476[/C][C]150406.25[/C][C]-5397.39880952381[/C][C]-120.851190476184[/C][/ROW]
[ROW][C]46[/C][C]148762[/C][C]149279.988095238[/C][C]152012[/C][C]-2732.01190476190[/C][C]-517.988095238106[/C][/ROW]
[ROW][C]47[/C][C]156500[/C][C]155978.446428571[/C][C]153795[/C][C]2183.44642857143[/C][C]521.55357142858[/C][/ROW]
[ROW][C]48[/C][C]161088[/C][C]161882.589285714[/C][C]155936.625[/C][C]5945.96428571429[/C][C]-794.58928571429[/C][/ROW]
[ROW][C]49[/C][C]152772[/C][C]152547.601190476[/C][C]157945[/C][C]-5397.39880952381[/C][C]224.398809523816[/C][/ROW]
[ROW][C]50[/C][C]158011[/C][C]157175.363095238[/C][C]159907.375[/C][C]-2732.01190476190[/C][C]835.636904761894[/C][/ROW]
[ROW][C]51[/C][C]163318[/C][C]164388.071428571[/C][C]162204.625[/C][C]2183.44642857143[/C][C]-1070.07142857142[/C][/ROW]
[ROW][C]52[/C][C]169969[/C][C]170306.964285714[/C][C]164361[/C][C]5945.96428571429[/C][C]-337.96428571429[/C][/ROW]
[ROW][C]53[/C][C]162269[/C][C]160843.101190476[/C][C]166240.5[/C][C]-5397.39880952381[/C][C]1425.89880952382[/C][/ROW]
[ROW][C]54[/C][C]165765[/C][C]165007.738095238[/C][C]167739.75[/C][C]-2732.01190476190[/C][C]757.261904761894[/C][/ROW]
[ROW][C]55[/C][C]170600[/C][C]171024.071428571[/C][C]168840.625[/C][C]2183.44642857143[/C][C]-424.07142857142[/C][/ROW]
[ROW][C]56[/C][C]174681[/C][C]175857.839285714[/C][C]169911.875[/C][C]5945.96428571429[/C][C]-1176.83928571429[/C][/ROW]
[ROW][C]57[/C][C]166364[/C][C]165767.601190476[/C][C]171165[/C][C]-5397.39880952381[/C][C]596.398809523816[/C][/ROW]
[ROW][C]58[/C][C]170240[/C][C]170048.613095238[/C][C]172780.625[/C][C]-2732.01190476190[/C][C]191.386904761894[/C][/ROW]
[ROW][C]59[/C][C]176150[/C][C]176617.696428571[/C][C]174434.25[/C][C]2183.44642857143[/C][C]-467.69642857142[/C][/ROW]
[ROW][C]60[/C][C]182056[/C][C]182063.964285714[/C][C]176118[/C][C]5945.96428571429[/C][C]-7.96428571428987[/C][/ROW]
[ROW][C]61[/C][C]172218[/C][C]172435.476190476[/C][C]177832.875[/C][C]-5397.39880952381[/C][C]-217.476190476184[/C][/ROW]
[ROW][C]62[/C][C]177856[/C][C]176617.988095238[/C][C]179350[/C][C]-2732.01190476190[/C][C]1238.01190476189[/C][/ROW]
[ROW][C]63[/C][C]182253[/C][C]182868.321428571[/C][C]180684.875[/C][C]2183.44642857143[/C][C]-615.32142857142[/C][/ROW]
[ROW][C]64[/C][C]188090[/C][C]187888.589285714[/C][C]181942.625[/C][C]5945.96428571429[/C][C]201.41071428571[/C][/ROW]
[ROW][C]65[/C][C]176863[/C][C]177936.851190476[/C][C]183334.25[/C][C]-5397.39880952381[/C][C]-1073.85119047618[/C][/ROW]
[ROW][C]66[/C][C]183273[/C][C]182136.738095238[/C][C]184868.75[/C][C]-2732.01190476190[/C][C]1136.26190476189[/C][/ROW]
[ROW][C]67[/C][C]187969[/C][C]188643.821428571[/C][C]186460.375[/C][C]2183.44642857143[/C][C]-674.82142857142[/C][/ROW]
[ROW][C]68[/C][C]194650[/C][C]193958.339285714[/C][C]188012.375[/C][C]5945.96428571429[/C][C]691.66071428571[/C][/ROW]
[ROW][C]69[/C][C]183036[/C][C]184124.851190476[/C][C]189522.25[/C][C]-5397.39880952381[/C][C]-1088.85119047618[/C][/ROW]
[ROW][C]70[/C][C]189516[/C][C]188250.863095238[/C][C]190982.875[/C][C]-2732.01190476190[/C][C]1265.13690476189[/C][/ROW]
[ROW][C]71[/C][C]193805[/C][C]194535.696428571[/C][C]192352.25[/C][C]2183.44642857143[/C][C]-730.69642857142[/C][/ROW]
[ROW][C]72[/C][C]200499[/C][C]199463.464285714[/C][C]193517.5[/C][C]5945.96428571429[/C][C]1035.53571428571[/C][/ROW]
[ROW][C]73[/C][C]188142[/C][C]189062.226190476[/C][C]194459.625[/C][C]-5397.39880952381[/C][C]-920.226190476184[/C][/ROW]
[ROW][C]74[/C][C]193732[/C][C]192722.863095238[/C][C]195454.875[/C][C]-2732.01190476190[/C][C]1009.13690476189[/C][/ROW]
[ROW][C]75[/C][C]197126[/C][C]198669.571428571[/C][C]196486.125[/C][C]2183.44642857143[/C][C]-1543.57142857142[/C][/ROW]
[ROW][C]76[/C][C]205140[/C][C]203254.214285714[/C][C]197308.25[/C][C]5945.96428571429[/C][C]1885.78571428571[/C][/ROW]
[ROW][C]77[/C][C]191751[/C][C]192614.101190476[/C][C]198011.5[/C][C]-5397.39880952381[/C][C]-863.101190476184[/C][/ROW]
[ROW][C]78[/C][C]196700[/C][C]195889.238095238[/C][C]198621.25[/C][C]-2732.01190476190[/C][C]810.761904761894[/C][/ROW]
[ROW][C]79[/C][C]199784[/C][C]201625.946428571[/C][C]199442.5[/C][C]2183.44642857143[/C][C]-1841.94642857142[/C][/ROW]
[ROW][C]80[/C][C]207360[/C][C]206447.714285714[/C][C]200501.75[/C][C]5945.96428571429[/C][C]912.28571428571[/C][/ROW]
[ROW][C]81[/C][C]196101[/C][C]196364.726190476[/C][C]201762.125[/C][C]-5397.39880952381[/C][C]-263.726190476184[/C][/ROW]
[ROW][C]82[/C][C]200824[/C][C]200416.113095238[/C][C]203148.125[/C][C]-2732.01190476190[/C][C]407.886904761894[/C][/ROW]
[ROW][C]83[/C][C]205743[/C][C]206561.321428571[/C][C]204377.875[/C][C]2183.44642857143[/C][C]-818.32142857142[/C][/ROW]
[ROW][C]84[/C][C]212489[/C][C]211269.839285714[/C][C]205323.875[/C][C]5945.96428571429[/C][C]1219.16071428571[/C][/ROW]
[ROW][C]85[/C][C]200810[/C][C]200476.726190476[/C][C]205874.125[/C][C]-5397.39880952381[/C][C]333.273809523816[/C][/ROW]
[ROW][C]86[/C][C]203683[/C][C]203137.613095238[/C][C]205869.625[/C][C]-2732.01190476190[/C][C]545.386904761894[/C][/ROW]
[ROW][C]87[/C][C]207286[/C][C]207118.821428571[/C][C]204935.375[/C][C]2183.44642857143[/C][C]167.178571428580[/C][/ROW]
[ROW][C]88[/C][C]210910[/C][C]211924.089285714[/C][C]205978.125[/C][C]5945.96428571429[/C][C]-1014.08928571429[/C][/ROW]
[ROW][C]89[/C][C]194915[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]90[/C][C]217920[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63677&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63677&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
1106370NANA-5397.39880952381NA
2109375NANA-2732.01190476190NA
3116476117118.321428571114934.8752183.44642857143-642.321428571435
4123297123004.9642857141170595945.96428571429292.03571428571
5114813113979.101190476119376.5-5397.39880952381833.898809523816
6117925118885.488095238121617.5-2732.01190476190-960.488095238092
7126466125509.821428571123326.3752183.44642857143956.178571428565
8131235130722.214285714124776.255945.96428571429512.78571428571
9120546120530.476190476125927.875-5397.3988095238115.5238095238165
10123791123892.738095238126624.75-2732.01190476190-101.738095238092
11129813129391.821428571127208.3752183.44642857143421.178571428565
12133463133662.839285714127716.8755945.96428571429-199.83928571429
13122987122571.101190476127968.5-5397.39880952381415.898809523816
14125418125228.863095238127960.875-2732.01190476190189.136904761908
15130199129896.821428571127713.3752183.44642857143302.178571428565
16133016133045.9642857141271005945.96428571429-29.9642857142899
17121454121045.101190476126442.5-5397.39880952381408.898809523816
18122044123292.238095238126024.25-2732.01190476190-1248.23809523809
19128313127846.821428571125663.3752183.44642857143466.178571428565
20131556131550.589285714125604.6255945.964285714295.41071428571013
21120027120551.601190476125949-5397.39880952381-524.601190476184
22123001123562.738095238126294.75-2732.01190476190-561.738095238092
23130111129063.571428571126880.1252183.446428571431047.42857142857
24132524133531.714285714127585.755945.96428571429-1007.71428571429
25123742122871.476190476128268.875-5397.39880952381870.523809523816
26124931126482.863095238129214.875-2732.01190476190-1551.86309523809
27133646132373.321428571130189.8752183.446428571431272.67857142858
28136557137108.464285714131162.55945.96428571429-551.46428571429
29127509126709.976190476132107.375-5397.39880952381799.023809523816
30128945130213.363095238132945.375-2732.01190476190-1268.36309523811
31137191135720.4464285711335372183.446428571431470.55357142858
32139716140012.089285714134066.1255945.96428571429-296.08928571429
33129083129278.851190476134676.25-5397.39880952381-195.851190476184
34131604132648.113095238135380.125-2732.01190476190-1044.11309523811
35139413138597.821428571136414.3752183.44642857143815.17857142858
36143125143657.464285714137711.55945.96428571429-532.46428571429
37133948133684.476190476139081.875-5397.39880952381263.523809523816
38137116137800.238095238140532.25-2732.01190476190-684.238095238106
39144864144090.696428571141907.252183.44642857143773.30357142858
40149277149226.9642857141432815945.9642857142950.0357142857101
41138796139297.601190476144695-5397.39880952381-501.601190476184
42143258143288.113095238146020.125-2732.01190476190-30.1130952381063
43150034149643.946428571147460.52183.44642857143390.05357142858
44154708154855.9642857141489105945.96428571429-147.96428571429
45144888145008.851190476150406.25-5397.39880952381-120.851190476184
46148762149279.988095238152012-2732.01190476190-517.988095238106
47156500155978.4464285711537952183.44642857143521.55357142858
48161088161882.589285714155936.6255945.96428571429-794.58928571429
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Parameters (Session):
par1 = additive ; par2 = 4 ;
Parameters (R input):
par1 = additive ; par2 = 4 ;
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')