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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 29 Jul 2010 12:47:58 +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/Jul/29/t1280407660apkm2jh5ssxqof0.htm/, Retrieved Mon, 29 Apr 2024 03:30:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78175, Retrieved Mon, 29 Apr 2024 03:30:12 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsHabimana Christelle
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Standard Deviation-Mean Plot] [] [2010-05-26 18:42:57] [5a3034bcadf7735f2909fd8cdba599d5]
- RMPD    [Classical Decomposition] [Tijdreeks 2 - Sta...] [2010-07-29 12:47:58] [ac302f869d0778eba7cafda3b14e71eb] [Current]
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Dataseries X:
376
375
374
372
370
369
370
372
373
373
374
376
371
374
369
363
357
366
362
366
361
362
358
363
360
360
348
345
332
333
323
327
332
337
336
337
343
337
326
321
309
302
293
287
292
292
289
302
310
295
276
264
257
243
227
226
226
229
224
240
244
226
208
199
193
180
167
164
166
173
169
191
193
166
143
147
139
129
115
108
106
116
108
135




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78175&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]1 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=78175&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78175&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1376NANA18.6950231481481NA
2375NANA11.7991898148148NA
3374NANA0.820023148148155NA
4372NANA-0.707754629629636NA
5370NANA-5.74247685185185NA
6369NANA-7.8883101851852NA
7370359.333912037037372.625-13.291087962963010.6660879629629
8372361.806134259259372.375-10.568865740740710.1938657407408
9373365.945023148148372.125-6.179976851851847.0549768518519
10373371.195023148148371.541666666667-0.3466435185185121.80497685185190
11374370.778356481481370.6250.1533564814814783.22164351851853
12376383.215856481481369.95833333333313.2575231481482-7.21585648148141
13371388.195023148148369.518.6950231481481-17.1950231481481
14374380.715856481481368.91666666666711.7991898148148-6.71585648148147
15369368.986689814815368.1666666666670.8200231481481550.0133101851852189
16363366.500578703704367.208333333333-0.707754629629636-3.50057870370375
17357360.340856481481366.083333333333-5.74247685185185-3.34085648148147
18366356.986689814815364.875-7.88831018518529.01331018518516
19362350.583912037037363.875-13.291087962963011.416087962963
20366352.264467592593362.833333333333-10.568865740740713.7355324074074
21361355.195023148148361.375-6.179976851851845.80497685185185
22362359.403356481481359.75-0.3466435185185122.59664351851853
23358358.111689814815357.9583333333330.153356481481478-0.111689814814781
24363368.799189814815355.54166666666713.2575231481482-5.79918981481484
25360371.236689814815352.54166666666718.6950231481481-11.2366898148148
26360361.090856481481349.29166666666711.7991898148148-1.09085648148147
27348347.278356481481346.4583333333330.8200231481481550.721643518518533
28345343.500578703704344.208333333333-0.7077546296296361.49942129629636
29332336.507523148148342.25-5.74247685185185-4.50752314814815
30333332.361689814815340.25-7.88831018518520.638310185185219
31323325.167245370370338.458333333333-13.2910879629630-2.16724537037032
32327326.222800925926336.791666666667-10.56886574074070.777199074074133
33332328.736689814815334.916666666667-6.179976851851843.26331018518516
34337332.653356481481333-0.3466435185185124.34664351851853
35336331.195023148148331.0416666666670.1533564814814784.8049768518519
36337342.049189814815328.79166666666713.2575231481482-5.04918981481484
37343344.945023148148326.2518.6950231481481-1.94502314814815
38337335.132523148148323.33333333333311.79918981481481.86747685185179
39326320.8200231481483200.8200231481481555.17997685185185
40321315.750578703704316.458333333333-0.7077546296296365.24942129629625
41309306.882523148148312.625-5.742476851851852.11747685185190
42302301.320023148148309.208333333333-7.88831018518520.679976851851904
43293293.083912037037306.375-13.2910879629630-0.0839120370369528
44287292.681134259259303.25-10.5688657407407-5.68113425925924
45292293.236689814815299.416666666667-6.17997685185184-1.23668981481472
46292294.611689814815294.958333333333-0.346643518518512-2.61168981481478
47289290.570023148148290.4166666666670.153356481481478-1.57002314814815
48302299.049189814815285.79166666666713.25752314814822.95081018518522
49310299.278356481481280.58333333333318.695023148148110.7216435185185
50295287.090856481482275.29166666666711.79918981481487.90914351851848
51276270.8200231481482700.8200231481481555.17997685185185
52264263.917245370370264.625-0.7077546296296360.0827546296296191
53257253.549189814815259.291666666667-5.742476851851853.45081018518516
54243246.111689814815254-7.8883101851852-3.11168981481481
55227235.375578703704248.666666666667-13.2910879629630-8.37557870370367
56226232.472800925926243.041666666667-10.5688657407407-6.4728009259259
57226231.153356481481237.333333333333-6.17997685185184-5.15335648148147
58229231.445023148148231.791666666667-0.346643518518512-2.44502314814812
59224226.570023148148226.4166666666670.153356481481478-2.57002314814815
60240234.382523148148221.12513.25752314814825.61747685185185
61244234.69502314814821618.69502314814819.30497685185182
62226222.715856481481210.91666666666711.79918981481483.28414351851856
63208206.653356481481205.8333333333330.8200231481481551.34664351851853
64199200.292245370370201-0.707754629629636-1.29224537037032
65193190.632523148148196.375-5.742476851851852.36747685185185
66180184.153356481481192.041666666667-7.8883101851852-4.15335648148147
67167174.583912037037187.875-13.2910879629630-7.58391203703704
68164172.681134259259183.25-10.5688657407407-8.6811342592593
69166171.861689814815178.041666666667-6.17997685185184-5.86168981481484
70173172.820023148148173.166666666667-0.3466435185185120.179976851851848
71169168.903356481481168.750.1533564814814780.0966435185185617
72191177.632523148148164.37513.257523148148213.3674768518519
73193178.778356481481160.08333333333318.695023148148114.2216435185185
74166167.382523148148155.58333333333311.7991898148148-1.38252314814815
75143151.570023148148150.750.820023148148155-8.57002314814812
76147145.167245370370145.875-0.7077546296296361.83275462962965
77139135.215856481481140.958333333333-5.742476851851853.78414351851853
78129128.195023148148136.083333333333-7.88831018518520.804976851851848
79115NANA-13.2910879629630NA
80108NANA-10.5688657407407NA
81106NANA-6.17997685185184NA
82116NANA-0.346643518518512NA
83108NANA0.153356481481478NA
84135NANA13.2575231481482NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 376 & NA & NA & 18.6950231481481 & NA \tabularnewline
2 & 375 & NA & NA & 11.7991898148148 & NA \tabularnewline
3 & 374 & NA & NA & 0.820023148148155 & NA \tabularnewline
4 & 372 & NA & NA & -0.707754629629636 & NA \tabularnewline
5 & 370 & NA & NA & -5.74247685185185 & NA \tabularnewline
6 & 369 & NA & NA & -7.8883101851852 & NA \tabularnewline
7 & 370 & 359.333912037037 & 372.625 & -13.2910879629630 & 10.6660879629629 \tabularnewline
8 & 372 & 361.806134259259 & 372.375 & -10.5688657407407 & 10.1938657407408 \tabularnewline
9 & 373 & 365.945023148148 & 372.125 & -6.17997685185184 & 7.0549768518519 \tabularnewline
10 & 373 & 371.195023148148 & 371.541666666667 & -0.346643518518512 & 1.80497685185190 \tabularnewline
11 & 374 & 370.778356481481 & 370.625 & 0.153356481481478 & 3.22164351851853 \tabularnewline
12 & 376 & 383.215856481481 & 369.958333333333 & 13.2575231481482 & -7.21585648148141 \tabularnewline
13 & 371 & 388.195023148148 & 369.5 & 18.6950231481481 & -17.1950231481481 \tabularnewline
14 & 374 & 380.715856481481 & 368.916666666667 & 11.7991898148148 & -6.71585648148147 \tabularnewline
15 & 369 & 368.986689814815 & 368.166666666667 & 0.820023148148155 & 0.0133101851852189 \tabularnewline
16 & 363 & 366.500578703704 & 367.208333333333 & -0.707754629629636 & -3.50057870370375 \tabularnewline
17 & 357 & 360.340856481481 & 366.083333333333 & -5.74247685185185 & -3.34085648148147 \tabularnewline
18 & 366 & 356.986689814815 & 364.875 & -7.8883101851852 & 9.01331018518516 \tabularnewline
19 & 362 & 350.583912037037 & 363.875 & -13.2910879629630 & 11.416087962963 \tabularnewline
20 & 366 & 352.264467592593 & 362.833333333333 & -10.5688657407407 & 13.7355324074074 \tabularnewline
21 & 361 & 355.195023148148 & 361.375 & -6.17997685185184 & 5.80497685185185 \tabularnewline
22 & 362 & 359.403356481481 & 359.75 & -0.346643518518512 & 2.59664351851853 \tabularnewline
23 & 358 & 358.111689814815 & 357.958333333333 & 0.153356481481478 & -0.111689814814781 \tabularnewline
24 & 363 & 368.799189814815 & 355.541666666667 & 13.2575231481482 & -5.79918981481484 \tabularnewline
25 & 360 & 371.236689814815 & 352.541666666667 & 18.6950231481481 & -11.2366898148148 \tabularnewline
26 & 360 & 361.090856481481 & 349.291666666667 & 11.7991898148148 & -1.09085648148147 \tabularnewline
27 & 348 & 347.278356481481 & 346.458333333333 & 0.820023148148155 & 0.721643518518533 \tabularnewline
28 & 345 & 343.500578703704 & 344.208333333333 & -0.707754629629636 & 1.49942129629636 \tabularnewline
29 & 332 & 336.507523148148 & 342.25 & -5.74247685185185 & -4.50752314814815 \tabularnewline
30 & 333 & 332.361689814815 & 340.25 & -7.8883101851852 & 0.638310185185219 \tabularnewline
31 & 323 & 325.167245370370 & 338.458333333333 & -13.2910879629630 & -2.16724537037032 \tabularnewline
32 & 327 & 326.222800925926 & 336.791666666667 & -10.5688657407407 & 0.777199074074133 \tabularnewline
33 & 332 & 328.736689814815 & 334.916666666667 & -6.17997685185184 & 3.26331018518516 \tabularnewline
34 & 337 & 332.653356481481 & 333 & -0.346643518518512 & 4.34664351851853 \tabularnewline
35 & 336 & 331.195023148148 & 331.041666666667 & 0.153356481481478 & 4.8049768518519 \tabularnewline
36 & 337 & 342.049189814815 & 328.791666666667 & 13.2575231481482 & -5.04918981481484 \tabularnewline
37 & 343 & 344.945023148148 & 326.25 & 18.6950231481481 & -1.94502314814815 \tabularnewline
38 & 337 & 335.132523148148 & 323.333333333333 & 11.7991898148148 & 1.86747685185179 \tabularnewline
39 & 326 & 320.820023148148 & 320 & 0.820023148148155 & 5.17997685185185 \tabularnewline
40 & 321 & 315.750578703704 & 316.458333333333 & -0.707754629629636 & 5.24942129629625 \tabularnewline
41 & 309 & 306.882523148148 & 312.625 & -5.74247685185185 & 2.11747685185190 \tabularnewline
42 & 302 & 301.320023148148 & 309.208333333333 & -7.8883101851852 & 0.679976851851904 \tabularnewline
43 & 293 & 293.083912037037 & 306.375 & -13.2910879629630 & -0.0839120370369528 \tabularnewline
44 & 287 & 292.681134259259 & 303.25 & -10.5688657407407 & -5.68113425925924 \tabularnewline
45 & 292 & 293.236689814815 & 299.416666666667 & -6.17997685185184 & -1.23668981481472 \tabularnewline
46 & 292 & 294.611689814815 & 294.958333333333 & -0.346643518518512 & -2.61168981481478 \tabularnewline
47 & 289 & 290.570023148148 & 290.416666666667 & 0.153356481481478 & -1.57002314814815 \tabularnewline
48 & 302 & 299.049189814815 & 285.791666666667 & 13.2575231481482 & 2.95081018518522 \tabularnewline
49 & 310 & 299.278356481481 & 280.583333333333 & 18.6950231481481 & 10.7216435185185 \tabularnewline
50 & 295 & 287.090856481482 & 275.291666666667 & 11.7991898148148 & 7.90914351851848 \tabularnewline
51 & 276 & 270.820023148148 & 270 & 0.820023148148155 & 5.17997685185185 \tabularnewline
52 & 264 & 263.917245370370 & 264.625 & -0.707754629629636 & 0.0827546296296191 \tabularnewline
53 & 257 & 253.549189814815 & 259.291666666667 & -5.74247685185185 & 3.45081018518516 \tabularnewline
54 & 243 & 246.111689814815 & 254 & -7.8883101851852 & -3.11168981481481 \tabularnewline
55 & 227 & 235.375578703704 & 248.666666666667 & -13.2910879629630 & -8.37557870370367 \tabularnewline
56 & 226 & 232.472800925926 & 243.041666666667 & -10.5688657407407 & -6.4728009259259 \tabularnewline
57 & 226 & 231.153356481481 & 237.333333333333 & -6.17997685185184 & -5.15335648148147 \tabularnewline
58 & 229 & 231.445023148148 & 231.791666666667 & -0.346643518518512 & -2.44502314814812 \tabularnewline
59 & 224 & 226.570023148148 & 226.416666666667 & 0.153356481481478 & -2.57002314814815 \tabularnewline
60 & 240 & 234.382523148148 & 221.125 & 13.2575231481482 & 5.61747685185185 \tabularnewline
61 & 244 & 234.695023148148 & 216 & 18.6950231481481 & 9.30497685185182 \tabularnewline
62 & 226 & 222.715856481481 & 210.916666666667 & 11.7991898148148 & 3.28414351851856 \tabularnewline
63 & 208 & 206.653356481481 & 205.833333333333 & 0.820023148148155 & 1.34664351851853 \tabularnewline
64 & 199 & 200.292245370370 & 201 & -0.707754629629636 & -1.29224537037032 \tabularnewline
65 & 193 & 190.632523148148 & 196.375 & -5.74247685185185 & 2.36747685185185 \tabularnewline
66 & 180 & 184.153356481481 & 192.041666666667 & -7.8883101851852 & -4.15335648148147 \tabularnewline
67 & 167 & 174.583912037037 & 187.875 & -13.2910879629630 & -7.58391203703704 \tabularnewline
68 & 164 & 172.681134259259 & 183.25 & -10.5688657407407 & -8.6811342592593 \tabularnewline
69 & 166 & 171.861689814815 & 178.041666666667 & -6.17997685185184 & -5.86168981481484 \tabularnewline
70 & 173 & 172.820023148148 & 173.166666666667 & -0.346643518518512 & 0.179976851851848 \tabularnewline
71 & 169 & 168.903356481481 & 168.75 & 0.153356481481478 & 0.0966435185185617 \tabularnewline
72 & 191 & 177.632523148148 & 164.375 & 13.2575231481482 & 13.3674768518519 \tabularnewline
73 & 193 & 178.778356481481 & 160.083333333333 & 18.6950231481481 & 14.2216435185185 \tabularnewline
74 & 166 & 167.382523148148 & 155.583333333333 & 11.7991898148148 & -1.38252314814815 \tabularnewline
75 & 143 & 151.570023148148 & 150.75 & 0.820023148148155 & -8.57002314814812 \tabularnewline
76 & 147 & 145.167245370370 & 145.875 & -0.707754629629636 & 1.83275462962965 \tabularnewline
77 & 139 & 135.215856481481 & 140.958333333333 & -5.74247685185185 & 3.78414351851853 \tabularnewline
78 & 129 & 128.195023148148 & 136.083333333333 & -7.8883101851852 & 0.804976851851848 \tabularnewline
79 & 115 & NA & NA & -13.2910879629630 & NA \tabularnewline
80 & 108 & NA & NA & -10.5688657407407 & NA \tabularnewline
81 & 106 & NA & NA & -6.17997685185184 & NA \tabularnewline
82 & 116 & NA & NA & -0.346643518518512 & NA \tabularnewline
83 & 108 & NA & NA & 0.153356481481478 & NA \tabularnewline
84 & 135 & NA & NA & 13.2575231481482 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78175&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]376[/C][C]NA[/C][C]NA[/C][C]18.6950231481481[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]375[/C][C]NA[/C][C]NA[/C][C]11.7991898148148[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]374[/C][C]NA[/C][C]NA[/C][C]0.820023148148155[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]372[/C][C]NA[/C][C]NA[/C][C]-0.707754629629636[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]370[/C][C]NA[/C][C]NA[/C][C]-5.74247685185185[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]369[/C][C]NA[/C][C]NA[/C][C]-7.8883101851852[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]370[/C][C]359.333912037037[/C][C]372.625[/C][C]-13.2910879629630[/C][C]10.6660879629629[/C][/ROW]
[ROW][C]8[/C][C]372[/C][C]361.806134259259[/C][C]372.375[/C][C]-10.5688657407407[/C][C]10.1938657407408[/C][/ROW]
[ROW][C]9[/C][C]373[/C][C]365.945023148148[/C][C]372.125[/C][C]-6.17997685185184[/C][C]7.0549768518519[/C][/ROW]
[ROW][C]10[/C][C]373[/C][C]371.195023148148[/C][C]371.541666666667[/C][C]-0.346643518518512[/C][C]1.80497685185190[/C][/ROW]
[ROW][C]11[/C][C]374[/C][C]370.778356481481[/C][C]370.625[/C][C]0.153356481481478[/C][C]3.22164351851853[/C][/ROW]
[ROW][C]12[/C][C]376[/C][C]383.215856481481[/C][C]369.958333333333[/C][C]13.2575231481482[/C][C]-7.21585648148141[/C][/ROW]
[ROW][C]13[/C][C]371[/C][C]388.195023148148[/C][C]369.5[/C][C]18.6950231481481[/C][C]-17.1950231481481[/C][/ROW]
[ROW][C]14[/C][C]374[/C][C]380.715856481481[/C][C]368.916666666667[/C][C]11.7991898148148[/C][C]-6.71585648148147[/C][/ROW]
[ROW][C]15[/C][C]369[/C][C]368.986689814815[/C][C]368.166666666667[/C][C]0.820023148148155[/C][C]0.0133101851852189[/C][/ROW]
[ROW][C]16[/C][C]363[/C][C]366.500578703704[/C][C]367.208333333333[/C][C]-0.707754629629636[/C][C]-3.50057870370375[/C][/ROW]
[ROW][C]17[/C][C]357[/C][C]360.340856481481[/C][C]366.083333333333[/C][C]-5.74247685185185[/C][C]-3.34085648148147[/C][/ROW]
[ROW][C]18[/C][C]366[/C][C]356.986689814815[/C][C]364.875[/C][C]-7.8883101851852[/C][C]9.01331018518516[/C][/ROW]
[ROW][C]19[/C][C]362[/C][C]350.583912037037[/C][C]363.875[/C][C]-13.2910879629630[/C][C]11.416087962963[/C][/ROW]
[ROW][C]20[/C][C]366[/C][C]352.264467592593[/C][C]362.833333333333[/C][C]-10.5688657407407[/C][C]13.7355324074074[/C][/ROW]
[ROW][C]21[/C][C]361[/C][C]355.195023148148[/C][C]361.375[/C][C]-6.17997685185184[/C][C]5.80497685185185[/C][/ROW]
[ROW][C]22[/C][C]362[/C][C]359.403356481481[/C][C]359.75[/C][C]-0.346643518518512[/C][C]2.59664351851853[/C][/ROW]
[ROW][C]23[/C][C]358[/C][C]358.111689814815[/C][C]357.958333333333[/C][C]0.153356481481478[/C][C]-0.111689814814781[/C][/ROW]
[ROW][C]24[/C][C]363[/C][C]368.799189814815[/C][C]355.541666666667[/C][C]13.2575231481482[/C][C]-5.79918981481484[/C][/ROW]
[ROW][C]25[/C][C]360[/C][C]371.236689814815[/C][C]352.541666666667[/C][C]18.6950231481481[/C][C]-11.2366898148148[/C][/ROW]
[ROW][C]26[/C][C]360[/C][C]361.090856481481[/C][C]349.291666666667[/C][C]11.7991898148148[/C][C]-1.09085648148147[/C][/ROW]
[ROW][C]27[/C][C]348[/C][C]347.278356481481[/C][C]346.458333333333[/C][C]0.820023148148155[/C][C]0.721643518518533[/C][/ROW]
[ROW][C]28[/C][C]345[/C][C]343.500578703704[/C][C]344.208333333333[/C][C]-0.707754629629636[/C][C]1.49942129629636[/C][/ROW]
[ROW][C]29[/C][C]332[/C][C]336.507523148148[/C][C]342.25[/C][C]-5.74247685185185[/C][C]-4.50752314814815[/C][/ROW]
[ROW][C]30[/C][C]333[/C][C]332.361689814815[/C][C]340.25[/C][C]-7.8883101851852[/C][C]0.638310185185219[/C][/ROW]
[ROW][C]31[/C][C]323[/C][C]325.167245370370[/C][C]338.458333333333[/C][C]-13.2910879629630[/C][C]-2.16724537037032[/C][/ROW]
[ROW][C]32[/C][C]327[/C][C]326.222800925926[/C][C]336.791666666667[/C][C]-10.5688657407407[/C][C]0.777199074074133[/C][/ROW]
[ROW][C]33[/C][C]332[/C][C]328.736689814815[/C][C]334.916666666667[/C][C]-6.17997685185184[/C][C]3.26331018518516[/C][/ROW]
[ROW][C]34[/C][C]337[/C][C]332.653356481481[/C][C]333[/C][C]-0.346643518518512[/C][C]4.34664351851853[/C][/ROW]
[ROW][C]35[/C][C]336[/C][C]331.195023148148[/C][C]331.041666666667[/C][C]0.153356481481478[/C][C]4.8049768518519[/C][/ROW]
[ROW][C]36[/C][C]337[/C][C]342.049189814815[/C][C]328.791666666667[/C][C]13.2575231481482[/C][C]-5.04918981481484[/C][/ROW]
[ROW][C]37[/C][C]343[/C][C]344.945023148148[/C][C]326.25[/C][C]18.6950231481481[/C][C]-1.94502314814815[/C][/ROW]
[ROW][C]38[/C][C]337[/C][C]335.132523148148[/C][C]323.333333333333[/C][C]11.7991898148148[/C][C]1.86747685185179[/C][/ROW]
[ROW][C]39[/C][C]326[/C][C]320.820023148148[/C][C]320[/C][C]0.820023148148155[/C][C]5.17997685185185[/C][/ROW]
[ROW][C]40[/C][C]321[/C][C]315.750578703704[/C][C]316.458333333333[/C][C]-0.707754629629636[/C][C]5.24942129629625[/C][/ROW]
[ROW][C]41[/C][C]309[/C][C]306.882523148148[/C][C]312.625[/C][C]-5.74247685185185[/C][C]2.11747685185190[/C][/ROW]
[ROW][C]42[/C][C]302[/C][C]301.320023148148[/C][C]309.208333333333[/C][C]-7.8883101851852[/C][C]0.679976851851904[/C][/ROW]
[ROW][C]43[/C][C]293[/C][C]293.083912037037[/C][C]306.375[/C][C]-13.2910879629630[/C][C]-0.0839120370369528[/C][/ROW]
[ROW][C]44[/C][C]287[/C][C]292.681134259259[/C][C]303.25[/C][C]-10.5688657407407[/C][C]-5.68113425925924[/C][/ROW]
[ROW][C]45[/C][C]292[/C][C]293.236689814815[/C][C]299.416666666667[/C][C]-6.17997685185184[/C][C]-1.23668981481472[/C][/ROW]
[ROW][C]46[/C][C]292[/C][C]294.611689814815[/C][C]294.958333333333[/C][C]-0.346643518518512[/C][C]-2.61168981481478[/C][/ROW]
[ROW][C]47[/C][C]289[/C][C]290.570023148148[/C][C]290.416666666667[/C][C]0.153356481481478[/C][C]-1.57002314814815[/C][/ROW]
[ROW][C]48[/C][C]302[/C][C]299.049189814815[/C][C]285.791666666667[/C][C]13.2575231481482[/C][C]2.95081018518522[/C][/ROW]
[ROW][C]49[/C][C]310[/C][C]299.278356481481[/C][C]280.583333333333[/C][C]18.6950231481481[/C][C]10.7216435185185[/C][/ROW]
[ROW][C]50[/C][C]295[/C][C]287.090856481482[/C][C]275.291666666667[/C][C]11.7991898148148[/C][C]7.90914351851848[/C][/ROW]
[ROW][C]51[/C][C]276[/C][C]270.820023148148[/C][C]270[/C][C]0.820023148148155[/C][C]5.17997685185185[/C][/ROW]
[ROW][C]52[/C][C]264[/C][C]263.917245370370[/C][C]264.625[/C][C]-0.707754629629636[/C][C]0.0827546296296191[/C][/ROW]
[ROW][C]53[/C][C]257[/C][C]253.549189814815[/C][C]259.291666666667[/C][C]-5.74247685185185[/C][C]3.45081018518516[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]246.111689814815[/C][C]254[/C][C]-7.8883101851852[/C][C]-3.11168981481481[/C][/ROW]
[ROW][C]55[/C][C]227[/C][C]235.375578703704[/C][C]248.666666666667[/C][C]-13.2910879629630[/C][C]-8.37557870370367[/C][/ROW]
[ROW][C]56[/C][C]226[/C][C]232.472800925926[/C][C]243.041666666667[/C][C]-10.5688657407407[/C][C]-6.4728009259259[/C][/ROW]
[ROW][C]57[/C][C]226[/C][C]231.153356481481[/C][C]237.333333333333[/C][C]-6.17997685185184[/C][C]-5.15335648148147[/C][/ROW]
[ROW][C]58[/C][C]229[/C][C]231.445023148148[/C][C]231.791666666667[/C][C]-0.346643518518512[/C][C]-2.44502314814812[/C][/ROW]
[ROW][C]59[/C][C]224[/C][C]226.570023148148[/C][C]226.416666666667[/C][C]0.153356481481478[/C][C]-2.57002314814815[/C][/ROW]
[ROW][C]60[/C][C]240[/C][C]234.382523148148[/C][C]221.125[/C][C]13.2575231481482[/C][C]5.61747685185185[/C][/ROW]
[ROW][C]61[/C][C]244[/C][C]234.695023148148[/C][C]216[/C][C]18.6950231481481[/C][C]9.30497685185182[/C][/ROW]
[ROW][C]62[/C][C]226[/C][C]222.715856481481[/C][C]210.916666666667[/C][C]11.7991898148148[/C][C]3.28414351851856[/C][/ROW]
[ROW][C]63[/C][C]208[/C][C]206.653356481481[/C][C]205.833333333333[/C][C]0.820023148148155[/C][C]1.34664351851853[/C][/ROW]
[ROW][C]64[/C][C]199[/C][C]200.292245370370[/C][C]201[/C][C]-0.707754629629636[/C][C]-1.29224537037032[/C][/ROW]
[ROW][C]65[/C][C]193[/C][C]190.632523148148[/C][C]196.375[/C][C]-5.74247685185185[/C][C]2.36747685185185[/C][/ROW]
[ROW][C]66[/C][C]180[/C][C]184.153356481481[/C][C]192.041666666667[/C][C]-7.8883101851852[/C][C]-4.15335648148147[/C][/ROW]
[ROW][C]67[/C][C]167[/C][C]174.583912037037[/C][C]187.875[/C][C]-13.2910879629630[/C][C]-7.58391203703704[/C][/ROW]
[ROW][C]68[/C][C]164[/C][C]172.681134259259[/C][C]183.25[/C][C]-10.5688657407407[/C][C]-8.6811342592593[/C][/ROW]
[ROW][C]69[/C][C]166[/C][C]171.861689814815[/C][C]178.041666666667[/C][C]-6.17997685185184[/C][C]-5.86168981481484[/C][/ROW]
[ROW][C]70[/C][C]173[/C][C]172.820023148148[/C][C]173.166666666667[/C][C]-0.346643518518512[/C][C]0.179976851851848[/C][/ROW]
[ROW][C]71[/C][C]169[/C][C]168.903356481481[/C][C]168.75[/C][C]0.153356481481478[/C][C]0.0966435185185617[/C][/ROW]
[ROW][C]72[/C][C]191[/C][C]177.632523148148[/C][C]164.375[/C][C]13.2575231481482[/C][C]13.3674768518519[/C][/ROW]
[ROW][C]73[/C][C]193[/C][C]178.778356481481[/C][C]160.083333333333[/C][C]18.6950231481481[/C][C]14.2216435185185[/C][/ROW]
[ROW][C]74[/C][C]166[/C][C]167.382523148148[/C][C]155.583333333333[/C][C]11.7991898148148[/C][C]-1.38252314814815[/C][/ROW]
[ROW][C]75[/C][C]143[/C][C]151.570023148148[/C][C]150.75[/C][C]0.820023148148155[/C][C]-8.57002314814812[/C][/ROW]
[ROW][C]76[/C][C]147[/C][C]145.167245370370[/C][C]145.875[/C][C]-0.707754629629636[/C][C]1.83275462962965[/C][/ROW]
[ROW][C]77[/C][C]139[/C][C]135.215856481481[/C][C]140.958333333333[/C][C]-5.74247685185185[/C][C]3.78414351851853[/C][/ROW]
[ROW][C]78[/C][C]129[/C][C]128.195023148148[/C][C]136.083333333333[/C][C]-7.8883101851852[/C][C]0.804976851851848[/C][/ROW]
[ROW][C]79[/C][C]115[/C][C]NA[/C][C]NA[/C][C]-13.2910879629630[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]108[/C][C]NA[/C][C]NA[/C][C]-10.5688657407407[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]106[/C][C]NA[/C][C]NA[/C][C]-6.17997685185184[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]116[/C][C]NA[/C][C]NA[/C][C]-0.346643518518512[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]108[/C][C]NA[/C][C]NA[/C][C]0.153356481481478[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]135[/C][C]NA[/C][C]NA[/C][C]13.2575231481482[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78175&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78175&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
1376NANA18.6950231481481NA
2375NANA11.7991898148148NA
3374NANA0.820023148148155NA
4372NANA-0.707754629629636NA
5370NANA-5.74247685185185NA
6369NANA-7.8883101851852NA
7370359.333912037037372.625-13.291087962963010.6660879629629
8372361.806134259259372.375-10.568865740740710.1938657407408
9373365.945023148148372.125-6.179976851851847.0549768518519
10373371.195023148148371.541666666667-0.3466435185185121.80497685185190
11374370.778356481481370.6250.1533564814814783.22164351851853
12376383.215856481481369.95833333333313.2575231481482-7.21585648148141
13371388.195023148148369.518.6950231481481-17.1950231481481
14374380.715856481481368.91666666666711.7991898148148-6.71585648148147
15369368.986689814815368.1666666666670.8200231481481550.0133101851852189
16363366.500578703704367.208333333333-0.707754629629636-3.50057870370375
17357360.340856481481366.083333333333-5.74247685185185-3.34085648148147
18366356.986689814815364.875-7.88831018518529.01331018518516
19362350.583912037037363.875-13.291087962963011.416087962963
20366352.264467592593362.833333333333-10.568865740740713.7355324074074
21361355.195023148148361.375-6.179976851851845.80497685185185
22362359.403356481481359.75-0.3466435185185122.59664351851853
23358358.111689814815357.9583333333330.153356481481478-0.111689814814781
24363368.799189814815355.54166666666713.2575231481482-5.79918981481484
25360371.236689814815352.54166666666718.6950231481481-11.2366898148148
26360361.090856481481349.29166666666711.7991898148148-1.09085648148147
27348347.278356481481346.4583333333330.8200231481481550.721643518518533
28345343.500578703704344.208333333333-0.7077546296296361.49942129629636
29332336.507523148148342.25-5.74247685185185-4.50752314814815
30333332.361689814815340.25-7.88831018518520.638310185185219
31323325.167245370370338.458333333333-13.2910879629630-2.16724537037032
32327326.222800925926336.791666666667-10.56886574074070.777199074074133
33332328.736689814815334.916666666667-6.179976851851843.26331018518516
34337332.653356481481333-0.3466435185185124.34664351851853
35336331.195023148148331.0416666666670.1533564814814784.8049768518519
36337342.049189814815328.79166666666713.2575231481482-5.04918981481484
37343344.945023148148326.2518.6950231481481-1.94502314814815
38337335.132523148148323.33333333333311.79918981481481.86747685185179
39326320.8200231481483200.8200231481481555.17997685185185
40321315.750578703704316.458333333333-0.7077546296296365.24942129629625
41309306.882523148148312.625-5.742476851851852.11747685185190
42302301.320023148148309.208333333333-7.88831018518520.679976851851904
43293293.083912037037306.375-13.2910879629630-0.0839120370369528
44287292.681134259259303.25-10.5688657407407-5.68113425925924
45292293.236689814815299.416666666667-6.17997685185184-1.23668981481472
46292294.611689814815294.958333333333-0.346643518518512-2.61168981481478
47289290.570023148148290.4166666666670.153356481481478-1.57002314814815
48302299.049189814815285.79166666666713.25752314814822.95081018518522
49310299.278356481481280.58333333333318.695023148148110.7216435185185
50295287.090856481482275.29166666666711.79918981481487.90914351851848
51276270.8200231481482700.8200231481481555.17997685185185
52264263.917245370370264.625-0.7077546296296360.0827546296296191
53257253.549189814815259.291666666667-5.742476851851853.45081018518516
54243246.111689814815254-7.8883101851852-3.11168981481481
55227235.375578703704248.666666666667-13.2910879629630-8.37557870370367
56226232.472800925926243.041666666667-10.5688657407407-6.4728009259259
57226231.153356481481237.333333333333-6.17997685185184-5.15335648148147
58229231.445023148148231.791666666667-0.346643518518512-2.44502314814812
59224226.570023148148226.4166666666670.153356481481478-2.57002314814815
60240234.382523148148221.12513.25752314814825.61747685185185
61244234.69502314814821618.69502314814819.30497685185182
62226222.715856481481210.91666666666711.79918981481483.28414351851856
63208206.653356481481205.8333333333330.8200231481481551.34664351851853
64199200.292245370370201-0.707754629629636-1.29224537037032
65193190.632523148148196.375-5.742476851851852.36747685185185
66180184.153356481481192.041666666667-7.8883101851852-4.15335648148147
67167174.583912037037187.875-13.2910879629630-7.58391203703704
68164172.681134259259183.25-10.5688657407407-8.6811342592593
69166171.861689814815178.041666666667-6.17997685185184-5.86168981481484
70173172.820023148148173.166666666667-0.3466435185185120.179976851851848
71169168.903356481481168.750.1533564814814780.0966435185185617
72191177.632523148148164.37513.257523148148213.3674768518519
73193178.778356481481160.08333333333318.695023148148114.2216435185185
74166167.382523148148155.58333333333311.7991898148148-1.38252314814815
75143151.570023148148150.750.820023148148155-8.57002314814812
76147145.167245370370145.875-0.7077546296296361.83275462962965
77139135.215856481481140.958333333333-5.742476851851853.78414351851853
78129128.195023148148136.083333333333-7.88831018518520.804976851851848
79115NANA-13.2910879629630NA
80108NANA-10.5688657407407NA
81106NANA-6.17997685185184NA
82116NANA-0.346643518518512NA
83108NANA0.153356481481478NA
84135NANA13.2575231481482NA



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')