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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, 28 Dec 2010 20:23:35 +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/2010/Dec/28/t1293567711rbrq73mn4nm0ah0.htm/, Retrieved Sat, 04 May 2024 22:41:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116542, Retrieved Sat, 04 May 2024 22:41:39 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Paper] [2010-12-28 20:23:35] [d5e0edb7e0239841e94676417b2a1e2e] [Current]
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Dataseries X:
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330
169362
166827
178037
186413
189226
191563
188906
186005
195309
223532
226899
214126
206903
204442
220375
214320
212588
205816
202196
195722
198563
229139
229527
211868
203555
195770





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=116542&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=116542&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116542&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1235243NANA-2518.29427083334NA
2230354NANA-4661.00260416667NA
3227184NANA-7449.46093750002NA
4221678NANA-8807.7421875NA
5217142NANA-13304.7630208333NA
6219452NANA-8556.58593750002NA
7256446256162.4453125234679.08333333321483.3619791667283.554687500058
8265845256304.341145833233553.79166666722750.54947916679540.65885416669
9248624241517.872395833232486.59031.372395833347106.12760416669
10241114230070.591145833231591.458333333-1520.8671874999911043.4088541667
11229245224099.1640625231053.666666667-6954.502604166665145.8359375
12231805230978.4765625230470.541666667507.934895833342826.5234375
13219277226935.872395833229454.166666667-2518.29427083334-7658.87239583331
14219313223059.5390625227720.541666667-4661.00260416667-3746.5390625
15212610218468.872395833225918.333333333-7449.46093750002-5858.87239583331
16214771215012.1328125223819.875-8807.7421875-241.1328125
17211142207863.361979167221168.125-13304.76302083333278.63802083331
18211457209756.0390625218312.625-8556.585937500021700.96093750003
19240048237216.611979167215733.2521483.36197916672831.38802083334
20240636236053.674479167213303.12522750.54947916674582.32552083334
21230580219495.705729167210464.3333333339031.3723958333411084.2942708333
22208795205749.0078125207269.875-1520.867187499993045.99218750003
23197922196731.9140625203686.416666667-6954.502604166661190.08593750003
24194596200559.184895833200051.25507.934895833342-5963.18489583334
25194581194151.622395833196669.916666667-2518.29427083334429.377604166686
26185686188842.4140625193503.416666667-4661.00260416667-3156.4140625
27178106182457.622395833189907.083333333-7449.46093750002-4351.62239583331
28172608177625.049479167186432.791666667-8807.7421875-5017.04947916666
29167302170344.8203125183649.583333333-13304.7630208333-3042.8203125
30168053172810.622395833181367.208333333-8556.58593750002-4757.62239583331
31202300200843.111979167179359.7521483.36197916671456.88802083337
32202388200177.6328125177427.08333333322750.54947916672210.3671875
33182516184887.7890625175856.4166666679031.37239583334-2371.78906250003
34173476173119.3828125174640.25-1520.86718749999356.6171875
35166444166465.0390625173419.541666667-6954.50260416666-21.0390625
36171297172834.143229167172326.208333333507.934895833342-1537.14322916666
37169701168736.705729167171255-2518.29427083334964.294270833372
38164182165298.622395833169959.625-4661.00260416667-1116.62239583334
39161914161530.7890625168980.25-7449.46093750002383.2109375
40159612159660.0078125168467.75-8807.7421875-48.0078125
41151001155007.528645833168312.291666667-13304.7630208333-4006.52864583331
42158114160052.497395833168609.083333333-8556.58593750002-1938.49739583331
43186530191069.611979167169586.2521483.3619791667-4539.61197916669
44187069194076.6328125171326.08333333322750.5494791667-7007.63281250003
45174330182636.330729167173604.9583333339031.37239583334-8306.33072916666
46169362174540.049479167176060.916666667-1520.86718749999-5178.04947916663
47166827171785.497395833178740-6954.50260416666-4958.49739583334
48178037182256.2265625181748.291666667507.934895833342-4219.2265625
49186413182321.5390625184839.833333333-2518.294270833344091.46093749997
50189226183380.1640625188041.166666667-4661.002604166675845.8359375
51191563183909.455729167191358.916666667-7449.460937500027653.54427083337
52188906185773.549479167194581.291666667-8807.74218753132.45052083334
53186005184408.028645833197712.791666667-13304.76302083331596.97135416669
54195309192487.580729167201044.166666667-8556.585937500022821.41927083334
55223532225454.403645833203971.04166666721483.3619791667-1922.40364583331
56226899228857.799479167206107.2522750.5494791667-1958.79947916666
57214126216705.9140625207674.5416666679031.37239583334-2579.91406249997
58206903207301.299479167208822.166666667-1520.86718749999-398.299479166657
59204442202826.2890625209780.791666667-6954.502604166661615.7109375
60220375210829.184895833210321.25507.9348958333429545.81510416669
61214320NA210690.458333333NANA
62212588NA211033.583333333NANA
63205816NA211049NANA
64202196NA210815.416666667NANA
65195722NA210314.583333333NANA
66198563NANANANA
67229139NANANANA
68229527NANANANA
69211868NANANANA
70203555NANANANA
71195770NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 235243 & NA & NA & -2518.29427083334 & NA \tabularnewline
2 & 230354 & NA & NA & -4661.00260416667 & NA \tabularnewline
3 & 227184 & NA & NA & -7449.46093750002 & NA \tabularnewline
4 & 221678 & NA & NA & -8807.7421875 & NA \tabularnewline
5 & 217142 & NA & NA & -13304.7630208333 & NA \tabularnewline
6 & 219452 & NA & NA & -8556.58593750002 & NA \tabularnewline
7 & 256446 & 256162.4453125 & 234679.083333333 & 21483.3619791667 & 283.554687500058 \tabularnewline
8 & 265845 & 256304.341145833 & 233553.791666667 & 22750.5494791667 & 9540.65885416669 \tabularnewline
9 & 248624 & 241517.872395833 & 232486.5 & 9031.37239583334 & 7106.12760416669 \tabularnewline
10 & 241114 & 230070.591145833 & 231591.458333333 & -1520.86718749999 & 11043.4088541667 \tabularnewline
11 & 229245 & 224099.1640625 & 231053.666666667 & -6954.50260416666 & 5145.8359375 \tabularnewline
12 & 231805 & 230978.4765625 & 230470.541666667 & 507.934895833342 & 826.5234375 \tabularnewline
13 & 219277 & 226935.872395833 & 229454.166666667 & -2518.29427083334 & -7658.87239583331 \tabularnewline
14 & 219313 & 223059.5390625 & 227720.541666667 & -4661.00260416667 & -3746.5390625 \tabularnewline
15 & 212610 & 218468.872395833 & 225918.333333333 & -7449.46093750002 & -5858.87239583331 \tabularnewline
16 & 214771 & 215012.1328125 & 223819.875 & -8807.7421875 & -241.1328125 \tabularnewline
17 & 211142 & 207863.361979167 & 221168.125 & -13304.7630208333 & 3278.63802083331 \tabularnewline
18 & 211457 & 209756.0390625 & 218312.625 & -8556.58593750002 & 1700.96093750003 \tabularnewline
19 & 240048 & 237216.611979167 & 215733.25 & 21483.3619791667 & 2831.38802083334 \tabularnewline
20 & 240636 & 236053.674479167 & 213303.125 & 22750.5494791667 & 4582.32552083334 \tabularnewline
21 & 230580 & 219495.705729167 & 210464.333333333 & 9031.37239583334 & 11084.2942708333 \tabularnewline
22 & 208795 & 205749.0078125 & 207269.875 & -1520.86718749999 & 3045.99218750003 \tabularnewline
23 & 197922 & 196731.9140625 & 203686.416666667 & -6954.50260416666 & 1190.08593750003 \tabularnewline
24 & 194596 & 200559.184895833 & 200051.25 & 507.934895833342 & -5963.18489583334 \tabularnewline
25 & 194581 & 194151.622395833 & 196669.916666667 & -2518.29427083334 & 429.377604166686 \tabularnewline
26 & 185686 & 188842.4140625 & 193503.416666667 & -4661.00260416667 & -3156.4140625 \tabularnewline
27 & 178106 & 182457.622395833 & 189907.083333333 & -7449.46093750002 & -4351.62239583331 \tabularnewline
28 & 172608 & 177625.049479167 & 186432.791666667 & -8807.7421875 & -5017.04947916666 \tabularnewline
29 & 167302 & 170344.8203125 & 183649.583333333 & -13304.7630208333 & -3042.8203125 \tabularnewline
30 & 168053 & 172810.622395833 & 181367.208333333 & -8556.58593750002 & -4757.62239583331 \tabularnewline
31 & 202300 & 200843.111979167 & 179359.75 & 21483.3619791667 & 1456.88802083337 \tabularnewline
32 & 202388 & 200177.6328125 & 177427.083333333 & 22750.5494791667 & 2210.3671875 \tabularnewline
33 & 182516 & 184887.7890625 & 175856.416666667 & 9031.37239583334 & -2371.78906250003 \tabularnewline
34 & 173476 & 173119.3828125 & 174640.25 & -1520.86718749999 & 356.6171875 \tabularnewline
35 & 166444 & 166465.0390625 & 173419.541666667 & -6954.50260416666 & -21.0390625 \tabularnewline
36 & 171297 & 172834.143229167 & 172326.208333333 & 507.934895833342 & -1537.14322916666 \tabularnewline
37 & 169701 & 168736.705729167 & 171255 & -2518.29427083334 & 964.294270833372 \tabularnewline
38 & 164182 & 165298.622395833 & 169959.625 & -4661.00260416667 & -1116.62239583334 \tabularnewline
39 & 161914 & 161530.7890625 & 168980.25 & -7449.46093750002 & 383.2109375 \tabularnewline
40 & 159612 & 159660.0078125 & 168467.75 & -8807.7421875 & -48.0078125 \tabularnewline
41 & 151001 & 155007.528645833 & 168312.291666667 & -13304.7630208333 & -4006.52864583331 \tabularnewline
42 & 158114 & 160052.497395833 & 168609.083333333 & -8556.58593750002 & -1938.49739583331 \tabularnewline
43 & 186530 & 191069.611979167 & 169586.25 & 21483.3619791667 & -4539.61197916669 \tabularnewline
44 & 187069 & 194076.6328125 & 171326.083333333 & 22750.5494791667 & -7007.63281250003 \tabularnewline
45 & 174330 & 182636.330729167 & 173604.958333333 & 9031.37239583334 & -8306.33072916666 \tabularnewline
46 & 169362 & 174540.049479167 & 176060.916666667 & -1520.86718749999 & -5178.04947916663 \tabularnewline
47 & 166827 & 171785.497395833 & 178740 & -6954.50260416666 & -4958.49739583334 \tabularnewline
48 & 178037 & 182256.2265625 & 181748.291666667 & 507.934895833342 & -4219.2265625 \tabularnewline
49 & 186413 & 182321.5390625 & 184839.833333333 & -2518.29427083334 & 4091.46093749997 \tabularnewline
50 & 189226 & 183380.1640625 & 188041.166666667 & -4661.00260416667 & 5845.8359375 \tabularnewline
51 & 191563 & 183909.455729167 & 191358.916666667 & -7449.46093750002 & 7653.54427083337 \tabularnewline
52 & 188906 & 185773.549479167 & 194581.291666667 & -8807.7421875 & 3132.45052083334 \tabularnewline
53 & 186005 & 184408.028645833 & 197712.791666667 & -13304.7630208333 & 1596.97135416669 \tabularnewline
54 & 195309 & 192487.580729167 & 201044.166666667 & -8556.58593750002 & 2821.41927083334 \tabularnewline
55 & 223532 & 225454.403645833 & 203971.041666667 & 21483.3619791667 & -1922.40364583331 \tabularnewline
56 & 226899 & 228857.799479167 & 206107.25 & 22750.5494791667 & -1958.79947916666 \tabularnewline
57 & 214126 & 216705.9140625 & 207674.541666667 & 9031.37239583334 & -2579.91406249997 \tabularnewline
58 & 206903 & 207301.299479167 & 208822.166666667 & -1520.86718749999 & -398.299479166657 \tabularnewline
59 & 204442 & 202826.2890625 & 209780.791666667 & -6954.50260416666 & 1615.7109375 \tabularnewline
60 & 220375 & 210829.184895833 & 210321.25 & 507.934895833342 & 9545.81510416669 \tabularnewline
61 & 214320 & NA & 210690.458333333 & NA & NA \tabularnewline
62 & 212588 & NA & 211033.583333333 & NA & NA \tabularnewline
63 & 205816 & NA & 211049 & NA & NA \tabularnewline
64 & 202196 & NA & 210815.416666667 & NA & NA \tabularnewline
65 & 195722 & NA & 210314.583333333 & NA & NA \tabularnewline
66 & 198563 & NA & NA & NA & NA \tabularnewline
67 & 229139 & NA & NA & NA & NA \tabularnewline
68 & 229527 & NA & NA & NA & NA \tabularnewline
69 & 211868 & NA & NA & NA & NA \tabularnewline
70 & 203555 & NA & NA & NA & NA \tabularnewline
71 & 195770 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116542&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]235243[/C][C]NA[/C][C]NA[/C][C]-2518.29427083334[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]230354[/C][C]NA[/C][C]NA[/C][C]-4661.00260416667[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]227184[/C][C]NA[/C][C]NA[/C][C]-7449.46093750002[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]221678[/C][C]NA[/C][C]NA[/C][C]-8807.7421875[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]217142[/C][C]NA[/C][C]NA[/C][C]-13304.7630208333[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]219452[/C][C]NA[/C][C]NA[/C][C]-8556.58593750002[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]256446[/C][C]256162.4453125[/C][C]234679.083333333[/C][C]21483.3619791667[/C][C]283.554687500058[/C][/ROW]
[ROW][C]8[/C][C]265845[/C][C]256304.341145833[/C][C]233553.791666667[/C][C]22750.5494791667[/C][C]9540.65885416669[/C][/ROW]
[ROW][C]9[/C][C]248624[/C][C]241517.872395833[/C][C]232486.5[/C][C]9031.37239583334[/C][C]7106.12760416669[/C][/ROW]
[ROW][C]10[/C][C]241114[/C][C]230070.591145833[/C][C]231591.458333333[/C][C]-1520.86718749999[/C][C]11043.4088541667[/C][/ROW]
[ROW][C]11[/C][C]229245[/C][C]224099.1640625[/C][C]231053.666666667[/C][C]-6954.50260416666[/C][C]5145.8359375[/C][/ROW]
[ROW][C]12[/C][C]231805[/C][C]230978.4765625[/C][C]230470.541666667[/C][C]507.934895833342[/C][C]826.5234375[/C][/ROW]
[ROW][C]13[/C][C]219277[/C][C]226935.872395833[/C][C]229454.166666667[/C][C]-2518.29427083334[/C][C]-7658.87239583331[/C][/ROW]
[ROW][C]14[/C][C]219313[/C][C]223059.5390625[/C][C]227720.541666667[/C][C]-4661.00260416667[/C][C]-3746.5390625[/C][/ROW]
[ROW][C]15[/C][C]212610[/C][C]218468.872395833[/C][C]225918.333333333[/C][C]-7449.46093750002[/C][C]-5858.87239583331[/C][/ROW]
[ROW][C]16[/C][C]214771[/C][C]215012.1328125[/C][C]223819.875[/C][C]-8807.7421875[/C][C]-241.1328125[/C][/ROW]
[ROW][C]17[/C][C]211142[/C][C]207863.361979167[/C][C]221168.125[/C][C]-13304.7630208333[/C][C]3278.63802083331[/C][/ROW]
[ROW][C]18[/C][C]211457[/C][C]209756.0390625[/C][C]218312.625[/C][C]-8556.58593750002[/C][C]1700.96093750003[/C][/ROW]
[ROW][C]19[/C][C]240048[/C][C]237216.611979167[/C][C]215733.25[/C][C]21483.3619791667[/C][C]2831.38802083334[/C][/ROW]
[ROW][C]20[/C][C]240636[/C][C]236053.674479167[/C][C]213303.125[/C][C]22750.5494791667[/C][C]4582.32552083334[/C][/ROW]
[ROW][C]21[/C][C]230580[/C][C]219495.705729167[/C][C]210464.333333333[/C][C]9031.37239583334[/C][C]11084.2942708333[/C][/ROW]
[ROW][C]22[/C][C]208795[/C][C]205749.0078125[/C][C]207269.875[/C][C]-1520.86718749999[/C][C]3045.99218750003[/C][/ROW]
[ROW][C]23[/C][C]197922[/C][C]196731.9140625[/C][C]203686.416666667[/C][C]-6954.50260416666[/C][C]1190.08593750003[/C][/ROW]
[ROW][C]24[/C][C]194596[/C][C]200559.184895833[/C][C]200051.25[/C][C]507.934895833342[/C][C]-5963.18489583334[/C][/ROW]
[ROW][C]25[/C][C]194581[/C][C]194151.622395833[/C][C]196669.916666667[/C][C]-2518.29427083334[/C][C]429.377604166686[/C][/ROW]
[ROW][C]26[/C][C]185686[/C][C]188842.4140625[/C][C]193503.416666667[/C][C]-4661.00260416667[/C][C]-3156.4140625[/C][/ROW]
[ROW][C]27[/C][C]178106[/C][C]182457.622395833[/C][C]189907.083333333[/C][C]-7449.46093750002[/C][C]-4351.62239583331[/C][/ROW]
[ROW][C]28[/C][C]172608[/C][C]177625.049479167[/C][C]186432.791666667[/C][C]-8807.7421875[/C][C]-5017.04947916666[/C][/ROW]
[ROW][C]29[/C][C]167302[/C][C]170344.8203125[/C][C]183649.583333333[/C][C]-13304.7630208333[/C][C]-3042.8203125[/C][/ROW]
[ROW][C]30[/C][C]168053[/C][C]172810.622395833[/C][C]181367.208333333[/C][C]-8556.58593750002[/C][C]-4757.62239583331[/C][/ROW]
[ROW][C]31[/C][C]202300[/C][C]200843.111979167[/C][C]179359.75[/C][C]21483.3619791667[/C][C]1456.88802083337[/C][/ROW]
[ROW][C]32[/C][C]202388[/C][C]200177.6328125[/C][C]177427.083333333[/C][C]22750.5494791667[/C][C]2210.3671875[/C][/ROW]
[ROW][C]33[/C][C]182516[/C][C]184887.7890625[/C][C]175856.416666667[/C][C]9031.37239583334[/C][C]-2371.78906250003[/C][/ROW]
[ROW][C]34[/C][C]173476[/C][C]173119.3828125[/C][C]174640.25[/C][C]-1520.86718749999[/C][C]356.6171875[/C][/ROW]
[ROW][C]35[/C][C]166444[/C][C]166465.0390625[/C][C]173419.541666667[/C][C]-6954.50260416666[/C][C]-21.0390625[/C][/ROW]
[ROW][C]36[/C][C]171297[/C][C]172834.143229167[/C][C]172326.208333333[/C][C]507.934895833342[/C][C]-1537.14322916666[/C][/ROW]
[ROW][C]37[/C][C]169701[/C][C]168736.705729167[/C][C]171255[/C][C]-2518.29427083334[/C][C]964.294270833372[/C][/ROW]
[ROW][C]38[/C][C]164182[/C][C]165298.622395833[/C][C]169959.625[/C][C]-4661.00260416667[/C][C]-1116.62239583334[/C][/ROW]
[ROW][C]39[/C][C]161914[/C][C]161530.7890625[/C][C]168980.25[/C][C]-7449.46093750002[/C][C]383.2109375[/C][/ROW]
[ROW][C]40[/C][C]159612[/C][C]159660.0078125[/C][C]168467.75[/C][C]-8807.7421875[/C][C]-48.0078125[/C][/ROW]
[ROW][C]41[/C][C]151001[/C][C]155007.528645833[/C][C]168312.291666667[/C][C]-13304.7630208333[/C][C]-4006.52864583331[/C][/ROW]
[ROW][C]42[/C][C]158114[/C][C]160052.497395833[/C][C]168609.083333333[/C][C]-8556.58593750002[/C][C]-1938.49739583331[/C][/ROW]
[ROW][C]43[/C][C]186530[/C][C]191069.611979167[/C][C]169586.25[/C][C]21483.3619791667[/C][C]-4539.61197916669[/C][/ROW]
[ROW][C]44[/C][C]187069[/C][C]194076.6328125[/C][C]171326.083333333[/C][C]22750.5494791667[/C][C]-7007.63281250003[/C][/ROW]
[ROW][C]45[/C][C]174330[/C][C]182636.330729167[/C][C]173604.958333333[/C][C]9031.37239583334[/C][C]-8306.33072916666[/C][/ROW]
[ROW][C]46[/C][C]169362[/C][C]174540.049479167[/C][C]176060.916666667[/C][C]-1520.86718749999[/C][C]-5178.04947916663[/C][/ROW]
[ROW][C]47[/C][C]166827[/C][C]171785.497395833[/C][C]178740[/C][C]-6954.50260416666[/C][C]-4958.49739583334[/C][/ROW]
[ROW][C]48[/C][C]178037[/C][C]182256.2265625[/C][C]181748.291666667[/C][C]507.934895833342[/C][C]-4219.2265625[/C][/ROW]
[ROW][C]49[/C][C]186413[/C][C]182321.5390625[/C][C]184839.833333333[/C][C]-2518.29427083334[/C][C]4091.46093749997[/C][/ROW]
[ROW][C]50[/C][C]189226[/C][C]183380.1640625[/C][C]188041.166666667[/C][C]-4661.00260416667[/C][C]5845.8359375[/C][/ROW]
[ROW][C]51[/C][C]191563[/C][C]183909.455729167[/C][C]191358.916666667[/C][C]-7449.46093750002[/C][C]7653.54427083337[/C][/ROW]
[ROW][C]52[/C][C]188906[/C][C]185773.549479167[/C][C]194581.291666667[/C][C]-8807.7421875[/C][C]3132.45052083334[/C][/ROW]
[ROW][C]53[/C][C]186005[/C][C]184408.028645833[/C][C]197712.791666667[/C][C]-13304.7630208333[/C][C]1596.97135416669[/C][/ROW]
[ROW][C]54[/C][C]195309[/C][C]192487.580729167[/C][C]201044.166666667[/C][C]-8556.58593750002[/C][C]2821.41927083334[/C][/ROW]
[ROW][C]55[/C][C]223532[/C][C]225454.403645833[/C][C]203971.041666667[/C][C]21483.3619791667[/C][C]-1922.40364583331[/C][/ROW]
[ROW][C]56[/C][C]226899[/C][C]228857.799479167[/C][C]206107.25[/C][C]22750.5494791667[/C][C]-1958.79947916666[/C][/ROW]
[ROW][C]57[/C][C]214126[/C][C]216705.9140625[/C][C]207674.541666667[/C][C]9031.37239583334[/C][C]-2579.91406249997[/C][/ROW]
[ROW][C]58[/C][C]206903[/C][C]207301.299479167[/C][C]208822.166666667[/C][C]-1520.86718749999[/C][C]-398.299479166657[/C][/ROW]
[ROW][C]59[/C][C]204442[/C][C]202826.2890625[/C][C]209780.791666667[/C][C]-6954.50260416666[/C][C]1615.7109375[/C][/ROW]
[ROW][C]60[/C][C]220375[/C][C]210829.184895833[/C][C]210321.25[/C][C]507.934895833342[/C][C]9545.81510416669[/C][/ROW]
[ROW][C]61[/C][C]214320[/C][C]NA[/C][C]210690.458333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]62[/C][C]212588[/C][C]NA[/C][C]211033.583333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]63[/C][C]205816[/C][C]NA[/C][C]211049[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]64[/C][C]202196[/C][C]NA[/C][C]210815.416666667[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]65[/C][C]195722[/C][C]NA[/C][C]210314.583333333[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]66[/C][C]198563[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]67[/C][C]229139[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]229527[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]211868[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]203555[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]195770[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116542&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116542&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
1235243NANA-2518.29427083334NA
2230354NANA-4661.00260416667NA
3227184NANA-7449.46093750002NA
4221678NANA-8807.7421875NA
5217142NANA-13304.7630208333NA
6219452NANA-8556.58593750002NA
7256446256162.4453125234679.08333333321483.3619791667283.554687500058
8265845256304.341145833233553.79166666722750.54947916679540.65885416669
9248624241517.872395833232486.59031.372395833347106.12760416669
10241114230070.591145833231591.458333333-1520.8671874999911043.4088541667
11229245224099.1640625231053.666666667-6954.502604166665145.8359375
12231805230978.4765625230470.541666667507.934895833342826.5234375
13219277226935.872395833229454.166666667-2518.29427083334-7658.87239583331
14219313223059.5390625227720.541666667-4661.00260416667-3746.5390625
15212610218468.872395833225918.333333333-7449.46093750002-5858.87239583331
16214771215012.1328125223819.875-8807.7421875-241.1328125
17211142207863.361979167221168.125-13304.76302083333278.63802083331
18211457209756.0390625218312.625-8556.585937500021700.96093750003
19240048237216.611979167215733.2521483.36197916672831.38802083334
20240636236053.674479167213303.12522750.54947916674582.32552083334
21230580219495.705729167210464.3333333339031.3723958333411084.2942708333
22208795205749.0078125207269.875-1520.867187499993045.99218750003
23197922196731.9140625203686.416666667-6954.502604166661190.08593750003
24194596200559.184895833200051.25507.934895833342-5963.18489583334
25194581194151.622395833196669.916666667-2518.29427083334429.377604166686
26185686188842.4140625193503.416666667-4661.00260416667-3156.4140625
27178106182457.622395833189907.083333333-7449.46093750002-4351.62239583331
28172608177625.049479167186432.791666667-8807.7421875-5017.04947916666
29167302170344.8203125183649.583333333-13304.7630208333-3042.8203125
30168053172810.622395833181367.208333333-8556.58593750002-4757.62239583331
31202300200843.111979167179359.7521483.36197916671456.88802083337
32202388200177.6328125177427.08333333322750.54947916672210.3671875
33182516184887.7890625175856.4166666679031.37239583334-2371.78906250003
34173476173119.3828125174640.25-1520.86718749999356.6171875
35166444166465.0390625173419.541666667-6954.50260416666-21.0390625
36171297172834.143229167172326.208333333507.934895833342-1537.14322916666
37169701168736.705729167171255-2518.29427083334964.294270833372
38164182165298.622395833169959.625-4661.00260416667-1116.62239583334
39161914161530.7890625168980.25-7449.46093750002383.2109375
40159612159660.0078125168467.75-8807.7421875-48.0078125
41151001155007.528645833168312.291666667-13304.7630208333-4006.52864583331
42158114160052.497395833168609.083333333-8556.58593750002-1938.49739583331
43186530191069.611979167169586.2521483.3619791667-4539.61197916669
44187069194076.6328125171326.08333333322750.5494791667-7007.63281250003
45174330182636.330729167173604.9583333339031.37239583334-8306.33072916666
46169362174540.049479167176060.916666667-1520.86718749999-5178.04947916663
47166827171785.497395833178740-6954.50260416666-4958.49739583334
48178037182256.2265625181748.291666667507.934895833342-4219.2265625
49186413182321.5390625184839.833333333-2518.294270833344091.46093749997
50189226183380.1640625188041.166666667-4661.002604166675845.8359375
51191563183909.455729167191358.916666667-7449.460937500027653.54427083337
52188906185773.549479167194581.291666667-8807.74218753132.45052083334
53186005184408.028645833197712.791666667-13304.76302083331596.97135416669
54195309192487.580729167201044.166666667-8556.585937500022821.41927083334
55223532225454.403645833203971.04166666721483.3619791667-1922.40364583331
56226899228857.799479167206107.2522750.5494791667-1958.79947916666
57214126216705.9140625207674.5416666679031.37239583334-2579.91406249997
58206903207301.299479167208822.166666667-1520.86718749999-398.299479166657
59204442202826.2890625209780.791666667-6954.502604166661615.7109375
60220375210829.184895833210321.25507.9348958333429545.81510416669
61214320NA210690.458333333NANA
62212588NA211033.583333333NANA
63205816NA211049NANA
64202196NA210815.416666667NANA
65195722NA210314.583333333NANA
66198563NANANANA
67229139NANANANA
68229527NANANANA
69211868NANANANA
70203555NANANANA
71195770NANANANA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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')