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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 computationSun, 17 Nov 2013 08:24:44 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/17/t1384694692k3muvsrtfeipgqe.htm/, Retrieved Sun, 28 Apr 2024 20:10:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=225735, Retrieved Sun, 28 Apr 2024 20:10:53 +0000
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Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-11-17 13:24:44] [a6c86ecfac1c17167d9b343b3a96f19f] [Current]
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Dataseries X:
41
39
50
40
43
38
44
35
39
35
29
49
50
59
63
32
39
47
53
60
57
52
70
90
74
62
55
84
94
70
108
139
120
97
126
149
158
124
140
109
114
77
120
133
110
92
97
78
99
107
112
90
98
125
155
190
236
189
174
178
136
161
171
149
184
155
276
224
213
279
268
287
238
213
257
293
212
246
353
339
308
247
257
322
298
273
312
249
286
279
309
401
309
328
353
354
327
324
285
243
241
287
355
460
364
487
452
391
500
451
375
372
302
316
398
394
431
431




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225735&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225735&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225735&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
141NANA1.05343NA
239NANA0.991123NA
350NANA0.990745NA
440NANA0.84949NA
543NANA0.861401NA
638NANA0.821821NA
74444.333240.54171.093520.992484
83548.569241.751.163340.720621
93945.644843.1251.058430.854424
103543.185843.33330.9965950.810451
112943.506842.83331.015720.666562
124947.534743.04171.104391.03083
135046.131343.79171.053431.08386
145944.80745.20830.9911231.31676
156346.565470.9907451.35295
163241.164848.45830.849490.777362
173943.823850.8750.8614010.889928
184744.61854.29170.8218211.05339
195362.3307571.093520.850303
206067.618958.1251.163340.887326
215761.300757.91671.058430.929842
225259.546659.750.9965950.873266
237065.217964.20831.015721.07332
249074.500167.45831.104391.20805
257474.486170.70831.053430.993474
266275.614576.29170.9911230.819949
275581.447582.20830.9907450.675282
288473.657886.70830.849491.14041
299478.315790.91670.8614011.20027
307078.655195.70830.8218210.889962
31108111.175101.6671.093520.971444
32139125.349107.751.163341.1089
33120120.529113.8751.058430.995613
3497118.055118.4580.9965950.821651
35126122.225120.3331.015721.03088
36149134.137121.4581.104391.1108
37158128.782122.251.053431.22688
38124121.413122.50.9911231.02131
39140120.706121.8330.9907451.15985
40109102.965121.2080.849491.05861
41114103.189119.7920.8614011.10477
427795.023115.6250.8218210.81033
43120120.515110.2081.093520.995725
44133124.525107.0421.163341.06806
45110111.312105.1671.058430.988217
4692102.857103.2080.9965950.894446
4797103.35101.751.015720.938559
4878113.844103.0831.104390.685149
4999112.234106.5421.053430.882086
50107109.395110.3750.9911230.978105
51112116.9081180.9907450.958019
5290108.133127.2920.849490.832309
5398115.894134.5420.8614010.845598
54125116.63141.9170.8218211.07177
55155161.431147.6251.093520.960162
56190176.148151.4171.163341.07864
57236165.247156.1251.058431.42816
58189160.493161.0420.9965951.17762
59174169.71167.0831.015721.02528
60178189.863171.9171.104390.93752
61136187.73178.2081.053430.724446
62161183.027184.6670.9911230.879649
63171183.412185.1250.9907450.932329
64149159.633187.9170.849490.93339
65184168.476195.5830.8614011.09215
66155167.686204.0420.8218210.924349
67276232.738212.8331.093521.18588
68224255.061219.251.163340.878221
69213238.1472251.058430.894406
70279233.785234.5830.9965951.19341
71268245.551241.751.015721.09142
72287272.461246.7081.104391.05336
73238267.263253.7081.053430.890507
74213259.385261.7080.9911230.821172
75257267.955270.4580.9907450.959116
76293231.981273.0830.849491.26303
77212233.691271.2920.8614010.907181
78246223.775272.2920.8218211.09932
79353302.085276.251.093521.16854
80339327.188281.251.163341.0361
81308302.755286.0421.058431.01732
82247285.525286.50.9965950.865074
83257292.274287.751.015720.87931
84322322.711292.2081.104390.997797
85298307.337291.751.053430.969618
86273289.904292.50.9911230.941692
87312292.393295.1250.9907451.06706
88249253.608298.5420.849490.98183
89286263.517305.9170.8614011.08532
90279255.792311.250.8218211.09073
91309343.138313.7921.093520.900512
92401368.923317.1251.163341.08695
93309336.713318.1251.058430.917695
94328315.672316.750.9965951.03905
95353319.572314.6251.015721.1046
96354345.765313.0831.104391.02382
97327332.181315.3331.053430.984404
98324316.87319.7080.9911231.0225
99285321.455324.4580.9907450.886593
100243283.199333.3750.849490.858055
101241296.43344.1250.8614010.813009
102287287.466349.7920.8218210.998379
103355392.073358.5421.093520.905443
104460431.646371.0421.163341.06569
105364402.292380.0831.058430.904816
106487387.883389.2080.9965951.25553
107452403.369397.1251.015721.12056
108391442.721400.8751.104390.883174
109500425.453403.8751.053431.17522
110451399.34402.9170.9911231.12936
111375399.229402.9580.9907450.939311
112372342.698403.4170.849491.0855
113302NANA0.861401NA
114316NANA0.821821NA
115398NANA1.09352NA
116394NANA1.16334NA
117431NANA1.05843NA
118431NANA0.996595NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 41 & NA & NA & 1.05343 & NA \tabularnewline
2 & 39 & NA & NA & 0.991123 & NA \tabularnewline
3 & 50 & NA & NA & 0.990745 & NA \tabularnewline
4 & 40 & NA & NA & 0.84949 & NA \tabularnewline
5 & 43 & NA & NA & 0.861401 & NA \tabularnewline
6 & 38 & NA & NA & 0.821821 & NA \tabularnewline
7 & 44 & 44.3332 & 40.5417 & 1.09352 & 0.992484 \tabularnewline
8 & 35 & 48.5692 & 41.75 & 1.16334 & 0.720621 \tabularnewline
9 & 39 & 45.6448 & 43.125 & 1.05843 & 0.854424 \tabularnewline
10 & 35 & 43.1858 & 43.3333 & 0.996595 & 0.810451 \tabularnewline
11 & 29 & 43.5068 & 42.8333 & 1.01572 & 0.666562 \tabularnewline
12 & 49 & 47.5347 & 43.0417 & 1.10439 & 1.03083 \tabularnewline
13 & 50 & 46.1313 & 43.7917 & 1.05343 & 1.08386 \tabularnewline
14 & 59 & 44.807 & 45.2083 & 0.991123 & 1.31676 \tabularnewline
15 & 63 & 46.565 & 47 & 0.990745 & 1.35295 \tabularnewline
16 & 32 & 41.1648 & 48.4583 & 0.84949 & 0.777362 \tabularnewline
17 & 39 & 43.8238 & 50.875 & 0.861401 & 0.889928 \tabularnewline
18 & 47 & 44.618 & 54.2917 & 0.821821 & 1.05339 \tabularnewline
19 & 53 & 62.3307 & 57 & 1.09352 & 0.850303 \tabularnewline
20 & 60 & 67.6189 & 58.125 & 1.16334 & 0.887326 \tabularnewline
21 & 57 & 61.3007 & 57.9167 & 1.05843 & 0.929842 \tabularnewline
22 & 52 & 59.5466 & 59.75 & 0.996595 & 0.873266 \tabularnewline
23 & 70 & 65.2179 & 64.2083 & 1.01572 & 1.07332 \tabularnewline
24 & 90 & 74.5001 & 67.4583 & 1.10439 & 1.20805 \tabularnewline
25 & 74 & 74.4861 & 70.7083 & 1.05343 & 0.993474 \tabularnewline
26 & 62 & 75.6145 & 76.2917 & 0.991123 & 0.819949 \tabularnewline
27 & 55 & 81.4475 & 82.2083 & 0.990745 & 0.675282 \tabularnewline
28 & 84 & 73.6578 & 86.7083 & 0.84949 & 1.14041 \tabularnewline
29 & 94 & 78.3157 & 90.9167 & 0.861401 & 1.20027 \tabularnewline
30 & 70 & 78.6551 & 95.7083 & 0.821821 & 0.889962 \tabularnewline
31 & 108 & 111.175 & 101.667 & 1.09352 & 0.971444 \tabularnewline
32 & 139 & 125.349 & 107.75 & 1.16334 & 1.1089 \tabularnewline
33 & 120 & 120.529 & 113.875 & 1.05843 & 0.995613 \tabularnewline
34 & 97 & 118.055 & 118.458 & 0.996595 & 0.821651 \tabularnewline
35 & 126 & 122.225 & 120.333 & 1.01572 & 1.03088 \tabularnewline
36 & 149 & 134.137 & 121.458 & 1.10439 & 1.1108 \tabularnewline
37 & 158 & 128.782 & 122.25 & 1.05343 & 1.22688 \tabularnewline
38 & 124 & 121.413 & 122.5 & 0.991123 & 1.02131 \tabularnewline
39 & 140 & 120.706 & 121.833 & 0.990745 & 1.15985 \tabularnewline
40 & 109 & 102.965 & 121.208 & 0.84949 & 1.05861 \tabularnewline
41 & 114 & 103.189 & 119.792 & 0.861401 & 1.10477 \tabularnewline
42 & 77 & 95.023 & 115.625 & 0.821821 & 0.81033 \tabularnewline
43 & 120 & 120.515 & 110.208 & 1.09352 & 0.995725 \tabularnewline
44 & 133 & 124.525 & 107.042 & 1.16334 & 1.06806 \tabularnewline
45 & 110 & 111.312 & 105.167 & 1.05843 & 0.988217 \tabularnewline
46 & 92 & 102.857 & 103.208 & 0.996595 & 0.894446 \tabularnewline
47 & 97 & 103.35 & 101.75 & 1.01572 & 0.938559 \tabularnewline
48 & 78 & 113.844 & 103.083 & 1.10439 & 0.685149 \tabularnewline
49 & 99 & 112.234 & 106.542 & 1.05343 & 0.882086 \tabularnewline
50 & 107 & 109.395 & 110.375 & 0.991123 & 0.978105 \tabularnewline
51 & 112 & 116.908 & 118 & 0.990745 & 0.958019 \tabularnewline
52 & 90 & 108.133 & 127.292 & 0.84949 & 0.832309 \tabularnewline
53 & 98 & 115.894 & 134.542 & 0.861401 & 0.845598 \tabularnewline
54 & 125 & 116.63 & 141.917 & 0.821821 & 1.07177 \tabularnewline
55 & 155 & 161.431 & 147.625 & 1.09352 & 0.960162 \tabularnewline
56 & 190 & 176.148 & 151.417 & 1.16334 & 1.07864 \tabularnewline
57 & 236 & 165.247 & 156.125 & 1.05843 & 1.42816 \tabularnewline
58 & 189 & 160.493 & 161.042 & 0.996595 & 1.17762 \tabularnewline
59 & 174 & 169.71 & 167.083 & 1.01572 & 1.02528 \tabularnewline
60 & 178 & 189.863 & 171.917 & 1.10439 & 0.93752 \tabularnewline
61 & 136 & 187.73 & 178.208 & 1.05343 & 0.724446 \tabularnewline
62 & 161 & 183.027 & 184.667 & 0.991123 & 0.879649 \tabularnewline
63 & 171 & 183.412 & 185.125 & 0.990745 & 0.932329 \tabularnewline
64 & 149 & 159.633 & 187.917 & 0.84949 & 0.93339 \tabularnewline
65 & 184 & 168.476 & 195.583 & 0.861401 & 1.09215 \tabularnewline
66 & 155 & 167.686 & 204.042 & 0.821821 & 0.924349 \tabularnewline
67 & 276 & 232.738 & 212.833 & 1.09352 & 1.18588 \tabularnewline
68 & 224 & 255.061 & 219.25 & 1.16334 & 0.878221 \tabularnewline
69 & 213 & 238.147 & 225 & 1.05843 & 0.894406 \tabularnewline
70 & 279 & 233.785 & 234.583 & 0.996595 & 1.19341 \tabularnewline
71 & 268 & 245.551 & 241.75 & 1.01572 & 1.09142 \tabularnewline
72 & 287 & 272.461 & 246.708 & 1.10439 & 1.05336 \tabularnewline
73 & 238 & 267.263 & 253.708 & 1.05343 & 0.890507 \tabularnewline
74 & 213 & 259.385 & 261.708 & 0.991123 & 0.821172 \tabularnewline
75 & 257 & 267.955 & 270.458 & 0.990745 & 0.959116 \tabularnewline
76 & 293 & 231.981 & 273.083 & 0.84949 & 1.26303 \tabularnewline
77 & 212 & 233.691 & 271.292 & 0.861401 & 0.907181 \tabularnewline
78 & 246 & 223.775 & 272.292 & 0.821821 & 1.09932 \tabularnewline
79 & 353 & 302.085 & 276.25 & 1.09352 & 1.16854 \tabularnewline
80 & 339 & 327.188 & 281.25 & 1.16334 & 1.0361 \tabularnewline
81 & 308 & 302.755 & 286.042 & 1.05843 & 1.01732 \tabularnewline
82 & 247 & 285.525 & 286.5 & 0.996595 & 0.865074 \tabularnewline
83 & 257 & 292.274 & 287.75 & 1.01572 & 0.87931 \tabularnewline
84 & 322 & 322.711 & 292.208 & 1.10439 & 0.997797 \tabularnewline
85 & 298 & 307.337 & 291.75 & 1.05343 & 0.969618 \tabularnewline
86 & 273 & 289.904 & 292.5 & 0.991123 & 0.941692 \tabularnewline
87 & 312 & 292.393 & 295.125 & 0.990745 & 1.06706 \tabularnewline
88 & 249 & 253.608 & 298.542 & 0.84949 & 0.98183 \tabularnewline
89 & 286 & 263.517 & 305.917 & 0.861401 & 1.08532 \tabularnewline
90 & 279 & 255.792 & 311.25 & 0.821821 & 1.09073 \tabularnewline
91 & 309 & 343.138 & 313.792 & 1.09352 & 0.900512 \tabularnewline
92 & 401 & 368.923 & 317.125 & 1.16334 & 1.08695 \tabularnewline
93 & 309 & 336.713 & 318.125 & 1.05843 & 0.917695 \tabularnewline
94 & 328 & 315.672 & 316.75 & 0.996595 & 1.03905 \tabularnewline
95 & 353 & 319.572 & 314.625 & 1.01572 & 1.1046 \tabularnewline
96 & 354 & 345.765 & 313.083 & 1.10439 & 1.02382 \tabularnewline
97 & 327 & 332.181 & 315.333 & 1.05343 & 0.984404 \tabularnewline
98 & 324 & 316.87 & 319.708 & 0.991123 & 1.0225 \tabularnewline
99 & 285 & 321.455 & 324.458 & 0.990745 & 0.886593 \tabularnewline
100 & 243 & 283.199 & 333.375 & 0.84949 & 0.858055 \tabularnewline
101 & 241 & 296.43 & 344.125 & 0.861401 & 0.813009 \tabularnewline
102 & 287 & 287.466 & 349.792 & 0.821821 & 0.998379 \tabularnewline
103 & 355 & 392.073 & 358.542 & 1.09352 & 0.905443 \tabularnewline
104 & 460 & 431.646 & 371.042 & 1.16334 & 1.06569 \tabularnewline
105 & 364 & 402.292 & 380.083 & 1.05843 & 0.904816 \tabularnewline
106 & 487 & 387.883 & 389.208 & 0.996595 & 1.25553 \tabularnewline
107 & 452 & 403.369 & 397.125 & 1.01572 & 1.12056 \tabularnewline
108 & 391 & 442.721 & 400.875 & 1.10439 & 0.883174 \tabularnewline
109 & 500 & 425.453 & 403.875 & 1.05343 & 1.17522 \tabularnewline
110 & 451 & 399.34 & 402.917 & 0.991123 & 1.12936 \tabularnewline
111 & 375 & 399.229 & 402.958 & 0.990745 & 0.939311 \tabularnewline
112 & 372 & 342.698 & 403.417 & 0.84949 & 1.0855 \tabularnewline
113 & 302 & NA & NA & 0.861401 & NA \tabularnewline
114 & 316 & NA & NA & 0.821821 & NA \tabularnewline
115 & 398 & NA & NA & 1.09352 & NA \tabularnewline
116 & 394 & NA & NA & 1.16334 & NA \tabularnewline
117 & 431 & NA & NA & 1.05843 & NA \tabularnewline
118 & 431 & NA & NA & 0.996595 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225735&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]41[/C][C]NA[/C][C]NA[/C][C]1.05343[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]39[/C][C]NA[/C][C]NA[/C][C]0.991123[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]50[/C][C]NA[/C][C]NA[/C][C]0.990745[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]40[/C][C]NA[/C][C]NA[/C][C]0.84949[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]43[/C][C]NA[/C][C]NA[/C][C]0.861401[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]38[/C][C]NA[/C][C]NA[/C][C]0.821821[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]44.3332[/C][C]40.5417[/C][C]1.09352[/C][C]0.992484[/C][/ROW]
[ROW][C]8[/C][C]35[/C][C]48.5692[/C][C]41.75[/C][C]1.16334[/C][C]0.720621[/C][/ROW]
[ROW][C]9[/C][C]39[/C][C]45.6448[/C][C]43.125[/C][C]1.05843[/C][C]0.854424[/C][/ROW]
[ROW][C]10[/C][C]35[/C][C]43.1858[/C][C]43.3333[/C][C]0.996595[/C][C]0.810451[/C][/ROW]
[ROW][C]11[/C][C]29[/C][C]43.5068[/C][C]42.8333[/C][C]1.01572[/C][C]0.666562[/C][/ROW]
[ROW][C]12[/C][C]49[/C][C]47.5347[/C][C]43.0417[/C][C]1.10439[/C][C]1.03083[/C][/ROW]
[ROW][C]13[/C][C]50[/C][C]46.1313[/C][C]43.7917[/C][C]1.05343[/C][C]1.08386[/C][/ROW]
[ROW][C]14[/C][C]59[/C][C]44.807[/C][C]45.2083[/C][C]0.991123[/C][C]1.31676[/C][/ROW]
[ROW][C]15[/C][C]63[/C][C]46.565[/C][C]47[/C][C]0.990745[/C][C]1.35295[/C][/ROW]
[ROW][C]16[/C][C]32[/C][C]41.1648[/C][C]48.4583[/C][C]0.84949[/C][C]0.777362[/C][/ROW]
[ROW][C]17[/C][C]39[/C][C]43.8238[/C][C]50.875[/C][C]0.861401[/C][C]0.889928[/C][/ROW]
[ROW][C]18[/C][C]47[/C][C]44.618[/C][C]54.2917[/C][C]0.821821[/C][C]1.05339[/C][/ROW]
[ROW][C]19[/C][C]53[/C][C]62.3307[/C][C]57[/C][C]1.09352[/C][C]0.850303[/C][/ROW]
[ROW][C]20[/C][C]60[/C][C]67.6189[/C][C]58.125[/C][C]1.16334[/C][C]0.887326[/C][/ROW]
[ROW][C]21[/C][C]57[/C][C]61.3007[/C][C]57.9167[/C][C]1.05843[/C][C]0.929842[/C][/ROW]
[ROW][C]22[/C][C]52[/C][C]59.5466[/C][C]59.75[/C][C]0.996595[/C][C]0.873266[/C][/ROW]
[ROW][C]23[/C][C]70[/C][C]65.2179[/C][C]64.2083[/C][C]1.01572[/C][C]1.07332[/C][/ROW]
[ROW][C]24[/C][C]90[/C][C]74.5001[/C][C]67.4583[/C][C]1.10439[/C][C]1.20805[/C][/ROW]
[ROW][C]25[/C][C]74[/C][C]74.4861[/C][C]70.7083[/C][C]1.05343[/C][C]0.993474[/C][/ROW]
[ROW][C]26[/C][C]62[/C][C]75.6145[/C][C]76.2917[/C][C]0.991123[/C][C]0.819949[/C][/ROW]
[ROW][C]27[/C][C]55[/C][C]81.4475[/C][C]82.2083[/C][C]0.990745[/C][C]0.675282[/C][/ROW]
[ROW][C]28[/C][C]84[/C][C]73.6578[/C][C]86.7083[/C][C]0.84949[/C][C]1.14041[/C][/ROW]
[ROW][C]29[/C][C]94[/C][C]78.3157[/C][C]90.9167[/C][C]0.861401[/C][C]1.20027[/C][/ROW]
[ROW][C]30[/C][C]70[/C][C]78.6551[/C][C]95.7083[/C][C]0.821821[/C][C]0.889962[/C][/ROW]
[ROW][C]31[/C][C]108[/C][C]111.175[/C][C]101.667[/C][C]1.09352[/C][C]0.971444[/C][/ROW]
[ROW][C]32[/C][C]139[/C][C]125.349[/C][C]107.75[/C][C]1.16334[/C][C]1.1089[/C][/ROW]
[ROW][C]33[/C][C]120[/C][C]120.529[/C][C]113.875[/C][C]1.05843[/C][C]0.995613[/C][/ROW]
[ROW][C]34[/C][C]97[/C][C]118.055[/C][C]118.458[/C][C]0.996595[/C][C]0.821651[/C][/ROW]
[ROW][C]35[/C][C]126[/C][C]122.225[/C][C]120.333[/C][C]1.01572[/C][C]1.03088[/C][/ROW]
[ROW][C]36[/C][C]149[/C][C]134.137[/C][C]121.458[/C][C]1.10439[/C][C]1.1108[/C][/ROW]
[ROW][C]37[/C][C]158[/C][C]128.782[/C][C]122.25[/C][C]1.05343[/C][C]1.22688[/C][/ROW]
[ROW][C]38[/C][C]124[/C][C]121.413[/C][C]122.5[/C][C]0.991123[/C][C]1.02131[/C][/ROW]
[ROW][C]39[/C][C]140[/C][C]120.706[/C][C]121.833[/C][C]0.990745[/C][C]1.15985[/C][/ROW]
[ROW][C]40[/C][C]109[/C][C]102.965[/C][C]121.208[/C][C]0.84949[/C][C]1.05861[/C][/ROW]
[ROW][C]41[/C][C]114[/C][C]103.189[/C][C]119.792[/C][C]0.861401[/C][C]1.10477[/C][/ROW]
[ROW][C]42[/C][C]77[/C][C]95.023[/C][C]115.625[/C][C]0.821821[/C][C]0.81033[/C][/ROW]
[ROW][C]43[/C][C]120[/C][C]120.515[/C][C]110.208[/C][C]1.09352[/C][C]0.995725[/C][/ROW]
[ROW][C]44[/C][C]133[/C][C]124.525[/C][C]107.042[/C][C]1.16334[/C][C]1.06806[/C][/ROW]
[ROW][C]45[/C][C]110[/C][C]111.312[/C][C]105.167[/C][C]1.05843[/C][C]0.988217[/C][/ROW]
[ROW][C]46[/C][C]92[/C][C]102.857[/C][C]103.208[/C][C]0.996595[/C][C]0.894446[/C][/ROW]
[ROW][C]47[/C][C]97[/C][C]103.35[/C][C]101.75[/C][C]1.01572[/C][C]0.938559[/C][/ROW]
[ROW][C]48[/C][C]78[/C][C]113.844[/C][C]103.083[/C][C]1.10439[/C][C]0.685149[/C][/ROW]
[ROW][C]49[/C][C]99[/C][C]112.234[/C][C]106.542[/C][C]1.05343[/C][C]0.882086[/C][/ROW]
[ROW][C]50[/C][C]107[/C][C]109.395[/C][C]110.375[/C][C]0.991123[/C][C]0.978105[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]116.908[/C][C]118[/C][C]0.990745[/C][C]0.958019[/C][/ROW]
[ROW][C]52[/C][C]90[/C][C]108.133[/C][C]127.292[/C][C]0.84949[/C][C]0.832309[/C][/ROW]
[ROW][C]53[/C][C]98[/C][C]115.894[/C][C]134.542[/C][C]0.861401[/C][C]0.845598[/C][/ROW]
[ROW][C]54[/C][C]125[/C][C]116.63[/C][C]141.917[/C][C]0.821821[/C][C]1.07177[/C][/ROW]
[ROW][C]55[/C][C]155[/C][C]161.431[/C][C]147.625[/C][C]1.09352[/C][C]0.960162[/C][/ROW]
[ROW][C]56[/C][C]190[/C][C]176.148[/C][C]151.417[/C][C]1.16334[/C][C]1.07864[/C][/ROW]
[ROW][C]57[/C][C]236[/C][C]165.247[/C][C]156.125[/C][C]1.05843[/C][C]1.42816[/C][/ROW]
[ROW][C]58[/C][C]189[/C][C]160.493[/C][C]161.042[/C][C]0.996595[/C][C]1.17762[/C][/ROW]
[ROW][C]59[/C][C]174[/C][C]169.71[/C][C]167.083[/C][C]1.01572[/C][C]1.02528[/C][/ROW]
[ROW][C]60[/C][C]178[/C][C]189.863[/C][C]171.917[/C][C]1.10439[/C][C]0.93752[/C][/ROW]
[ROW][C]61[/C][C]136[/C][C]187.73[/C][C]178.208[/C][C]1.05343[/C][C]0.724446[/C][/ROW]
[ROW][C]62[/C][C]161[/C][C]183.027[/C][C]184.667[/C][C]0.991123[/C][C]0.879649[/C][/ROW]
[ROW][C]63[/C][C]171[/C][C]183.412[/C][C]185.125[/C][C]0.990745[/C][C]0.932329[/C][/ROW]
[ROW][C]64[/C][C]149[/C][C]159.633[/C][C]187.917[/C][C]0.84949[/C][C]0.93339[/C][/ROW]
[ROW][C]65[/C][C]184[/C][C]168.476[/C][C]195.583[/C][C]0.861401[/C][C]1.09215[/C][/ROW]
[ROW][C]66[/C][C]155[/C][C]167.686[/C][C]204.042[/C][C]0.821821[/C][C]0.924349[/C][/ROW]
[ROW][C]67[/C][C]276[/C][C]232.738[/C][C]212.833[/C][C]1.09352[/C][C]1.18588[/C][/ROW]
[ROW][C]68[/C][C]224[/C][C]255.061[/C][C]219.25[/C][C]1.16334[/C][C]0.878221[/C][/ROW]
[ROW][C]69[/C][C]213[/C][C]238.147[/C][C]225[/C][C]1.05843[/C][C]0.894406[/C][/ROW]
[ROW][C]70[/C][C]279[/C][C]233.785[/C][C]234.583[/C][C]0.996595[/C][C]1.19341[/C][/ROW]
[ROW][C]71[/C][C]268[/C][C]245.551[/C][C]241.75[/C][C]1.01572[/C][C]1.09142[/C][/ROW]
[ROW][C]72[/C][C]287[/C][C]272.461[/C][C]246.708[/C][C]1.10439[/C][C]1.05336[/C][/ROW]
[ROW][C]73[/C][C]238[/C][C]267.263[/C][C]253.708[/C][C]1.05343[/C][C]0.890507[/C][/ROW]
[ROW][C]74[/C][C]213[/C][C]259.385[/C][C]261.708[/C][C]0.991123[/C][C]0.821172[/C][/ROW]
[ROW][C]75[/C][C]257[/C][C]267.955[/C][C]270.458[/C][C]0.990745[/C][C]0.959116[/C][/ROW]
[ROW][C]76[/C][C]293[/C][C]231.981[/C][C]273.083[/C][C]0.84949[/C][C]1.26303[/C][/ROW]
[ROW][C]77[/C][C]212[/C][C]233.691[/C][C]271.292[/C][C]0.861401[/C][C]0.907181[/C][/ROW]
[ROW][C]78[/C][C]246[/C][C]223.775[/C][C]272.292[/C][C]0.821821[/C][C]1.09932[/C][/ROW]
[ROW][C]79[/C][C]353[/C][C]302.085[/C][C]276.25[/C][C]1.09352[/C][C]1.16854[/C][/ROW]
[ROW][C]80[/C][C]339[/C][C]327.188[/C][C]281.25[/C][C]1.16334[/C][C]1.0361[/C][/ROW]
[ROW][C]81[/C][C]308[/C][C]302.755[/C][C]286.042[/C][C]1.05843[/C][C]1.01732[/C][/ROW]
[ROW][C]82[/C][C]247[/C][C]285.525[/C][C]286.5[/C][C]0.996595[/C][C]0.865074[/C][/ROW]
[ROW][C]83[/C][C]257[/C][C]292.274[/C][C]287.75[/C][C]1.01572[/C][C]0.87931[/C][/ROW]
[ROW][C]84[/C][C]322[/C][C]322.711[/C][C]292.208[/C][C]1.10439[/C][C]0.997797[/C][/ROW]
[ROW][C]85[/C][C]298[/C][C]307.337[/C][C]291.75[/C][C]1.05343[/C][C]0.969618[/C][/ROW]
[ROW][C]86[/C][C]273[/C][C]289.904[/C][C]292.5[/C][C]0.991123[/C][C]0.941692[/C][/ROW]
[ROW][C]87[/C][C]312[/C][C]292.393[/C][C]295.125[/C][C]0.990745[/C][C]1.06706[/C][/ROW]
[ROW][C]88[/C][C]249[/C][C]253.608[/C][C]298.542[/C][C]0.84949[/C][C]0.98183[/C][/ROW]
[ROW][C]89[/C][C]286[/C][C]263.517[/C][C]305.917[/C][C]0.861401[/C][C]1.08532[/C][/ROW]
[ROW][C]90[/C][C]279[/C][C]255.792[/C][C]311.25[/C][C]0.821821[/C][C]1.09073[/C][/ROW]
[ROW][C]91[/C][C]309[/C][C]343.138[/C][C]313.792[/C][C]1.09352[/C][C]0.900512[/C][/ROW]
[ROW][C]92[/C][C]401[/C][C]368.923[/C][C]317.125[/C][C]1.16334[/C][C]1.08695[/C][/ROW]
[ROW][C]93[/C][C]309[/C][C]336.713[/C][C]318.125[/C][C]1.05843[/C][C]0.917695[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]315.672[/C][C]316.75[/C][C]0.996595[/C][C]1.03905[/C][/ROW]
[ROW][C]95[/C][C]353[/C][C]319.572[/C][C]314.625[/C][C]1.01572[/C][C]1.1046[/C][/ROW]
[ROW][C]96[/C][C]354[/C][C]345.765[/C][C]313.083[/C][C]1.10439[/C][C]1.02382[/C][/ROW]
[ROW][C]97[/C][C]327[/C][C]332.181[/C][C]315.333[/C][C]1.05343[/C][C]0.984404[/C][/ROW]
[ROW][C]98[/C][C]324[/C][C]316.87[/C][C]319.708[/C][C]0.991123[/C][C]1.0225[/C][/ROW]
[ROW][C]99[/C][C]285[/C][C]321.455[/C][C]324.458[/C][C]0.990745[/C][C]0.886593[/C][/ROW]
[ROW][C]100[/C][C]243[/C][C]283.199[/C][C]333.375[/C][C]0.84949[/C][C]0.858055[/C][/ROW]
[ROW][C]101[/C][C]241[/C][C]296.43[/C][C]344.125[/C][C]0.861401[/C][C]0.813009[/C][/ROW]
[ROW][C]102[/C][C]287[/C][C]287.466[/C][C]349.792[/C][C]0.821821[/C][C]0.998379[/C][/ROW]
[ROW][C]103[/C][C]355[/C][C]392.073[/C][C]358.542[/C][C]1.09352[/C][C]0.905443[/C][/ROW]
[ROW][C]104[/C][C]460[/C][C]431.646[/C][C]371.042[/C][C]1.16334[/C][C]1.06569[/C][/ROW]
[ROW][C]105[/C][C]364[/C][C]402.292[/C][C]380.083[/C][C]1.05843[/C][C]0.904816[/C][/ROW]
[ROW][C]106[/C][C]487[/C][C]387.883[/C][C]389.208[/C][C]0.996595[/C][C]1.25553[/C][/ROW]
[ROW][C]107[/C][C]452[/C][C]403.369[/C][C]397.125[/C][C]1.01572[/C][C]1.12056[/C][/ROW]
[ROW][C]108[/C][C]391[/C][C]442.721[/C][C]400.875[/C][C]1.10439[/C][C]0.883174[/C][/ROW]
[ROW][C]109[/C][C]500[/C][C]425.453[/C][C]403.875[/C][C]1.05343[/C][C]1.17522[/C][/ROW]
[ROW][C]110[/C][C]451[/C][C]399.34[/C][C]402.917[/C][C]0.991123[/C][C]1.12936[/C][/ROW]
[ROW][C]111[/C][C]375[/C][C]399.229[/C][C]402.958[/C][C]0.990745[/C][C]0.939311[/C][/ROW]
[ROW][C]112[/C][C]372[/C][C]342.698[/C][C]403.417[/C][C]0.84949[/C][C]1.0855[/C][/ROW]
[ROW][C]113[/C][C]302[/C][C]NA[/C][C]NA[/C][C]0.861401[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]316[/C][C]NA[/C][C]NA[/C][C]0.821821[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]398[/C][C]NA[/C][C]NA[/C][C]1.09352[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]394[/C][C]NA[/C][C]NA[/C][C]1.16334[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]431[/C][C]NA[/C][C]NA[/C][C]1.05843[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]431[/C][C]NA[/C][C]NA[/C][C]0.996595[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225735&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225735&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
141NANA1.05343NA
239NANA0.991123NA
350NANA0.990745NA
440NANA0.84949NA
543NANA0.861401NA
638NANA0.821821NA
74444.333240.54171.093520.992484
83548.569241.751.163340.720621
93945.644843.1251.058430.854424
103543.185843.33330.9965950.810451
112943.506842.83331.015720.666562
124947.534743.04171.104391.03083
135046.131343.79171.053431.08386
145944.80745.20830.9911231.31676
156346.565470.9907451.35295
163241.164848.45830.849490.777362
173943.823850.8750.8614010.889928
184744.61854.29170.8218211.05339
195362.3307571.093520.850303
206067.618958.1251.163340.887326
215761.300757.91671.058430.929842
225259.546659.750.9965950.873266
237065.217964.20831.015721.07332
249074.500167.45831.104391.20805
257474.486170.70831.053430.993474
266275.614576.29170.9911230.819949
275581.447582.20830.9907450.675282
288473.657886.70830.849491.14041
299478.315790.91670.8614011.20027
307078.655195.70830.8218210.889962
31108111.175101.6671.093520.971444
32139125.349107.751.163341.1089
33120120.529113.8751.058430.995613
3497118.055118.4580.9965950.821651
35126122.225120.3331.015721.03088
36149134.137121.4581.104391.1108
37158128.782122.251.053431.22688
38124121.413122.50.9911231.02131
39140120.706121.8330.9907451.15985
40109102.965121.2080.849491.05861
41114103.189119.7920.8614011.10477
427795.023115.6250.8218210.81033
43120120.515110.2081.093520.995725
44133124.525107.0421.163341.06806
45110111.312105.1671.058430.988217
4692102.857103.2080.9965950.894446
4797103.35101.751.015720.938559
4878113.844103.0831.104390.685149
4999112.234106.5421.053430.882086
50107109.395110.3750.9911230.978105
51112116.9081180.9907450.958019
5290108.133127.2920.849490.832309
5398115.894134.5420.8614010.845598
54125116.63141.9170.8218211.07177
55155161.431147.6251.093520.960162
56190176.148151.4171.163341.07864
57236165.247156.1251.058431.42816
58189160.493161.0420.9965951.17762
59174169.71167.0831.015721.02528
60178189.863171.9171.104390.93752
61136187.73178.2081.053430.724446
62161183.027184.6670.9911230.879649
63171183.412185.1250.9907450.932329
64149159.633187.9170.849490.93339
65184168.476195.5830.8614011.09215
66155167.686204.0420.8218210.924349
67276232.738212.8331.093521.18588
68224255.061219.251.163340.878221
69213238.1472251.058430.894406
70279233.785234.5830.9965951.19341
71268245.551241.751.015721.09142
72287272.461246.7081.104391.05336
73238267.263253.7081.053430.890507
74213259.385261.7080.9911230.821172
75257267.955270.4580.9907450.959116
76293231.981273.0830.849491.26303
77212233.691271.2920.8614010.907181
78246223.775272.2920.8218211.09932
79353302.085276.251.093521.16854
80339327.188281.251.163341.0361
81308302.755286.0421.058431.01732
82247285.525286.50.9965950.865074
83257292.274287.751.015720.87931
84322322.711292.2081.104390.997797
85298307.337291.751.053430.969618
86273289.904292.50.9911230.941692
87312292.393295.1250.9907451.06706
88249253.608298.5420.849490.98183
89286263.517305.9170.8614011.08532
90279255.792311.250.8218211.09073
91309343.138313.7921.093520.900512
92401368.923317.1251.163341.08695
93309336.713318.1251.058430.917695
94328315.672316.750.9965951.03905
95353319.572314.6251.015721.1046
96354345.765313.0831.104391.02382
97327332.181315.3331.053430.984404
98324316.87319.7080.9911231.0225
99285321.455324.4580.9907450.886593
100243283.199333.3750.849490.858055
101241296.43344.1250.8614010.813009
102287287.466349.7920.8218210.998379
103355392.073358.5421.093520.905443
104460431.646371.0421.163341.06569
105364402.292380.0831.058430.904816
106487387.883389.2080.9965951.25553
107452403.369397.1251.015721.12056
108391442.721400.8751.104390.883174
109500425.453403.8751.053431.17522
110451399.34402.9170.9911231.12936
111375399.229402.9580.9907450.939311
112372342.698403.4170.849491.0855
113302NANA0.861401NA
114316NANA0.821821NA
115398NANA1.09352NA
116394NANA1.16334NA
117431NANA1.05843NA
118431NANA0.996595NA



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