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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 08:23:36 -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/t1384694624gw8s3xj9bqeolrn.htm/, Retrieved Mon, 29 Apr 2024 03:45:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=225734, Retrieved Mon, 29 Apr 2024 03:45:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-11-17 13:23:36] [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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225734&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225734&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225734&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
141NANA10.2403NA
239NANA-4.8384NA
350NANA-8.75969NA
440NANA-28.9634NA
543NANA-30.8158NA
638NANA-32.5502NA
74457.527340.541716.9857-13.5273
83577.814441.7536.0644-42.8144
93950.777343.1257.65234-11.7773
103553.499643.333310.1662-18.4996
112952.485742.83339.65234-23.4857
124958.207943.041715.1662-9.2079
135054.03243.791710.2403-4.03197
145940.369945.2083-4.838418.6301
156338.240347-8.7596924.7597
163219.494948.4583-28.963412.5051
173920.059250.875-30.815818.9408
184721.741554.2917-32.550225.2585
195373.98575716.9857-20.9857
206094.189458.12536.0644-34.1894
215765.56957.91677.65234-8.56901
225269.916259.7510.1662-17.9162
237073.860764.20839.65234-3.86068
249082.624667.458315.16627.37543
257480.948670.708310.2403-6.94864
266271.453376.2917-4.8384-9.45327
275573.448682.2083-8.75969-18.4486
288457.744986.7083-28.963426.2551
299460.100890.9167-30.815833.8992
307063.158195.7083-32.55026.84187
31108118.652101.66716.9857-10.6523
32139143.814107.7536.0644-4.81438
33120121.527113.8757.65234-1.52734
3497128.625118.45810.1662-31.6246
35126129.986120.3339.65234-3.98568
36149136.625121.45815.166212.3754
37158132.49122.2510.240325.5097
38124117.662122.5-4.83846.3384
39140113.074121.833-8.7596926.9264
4010992.2449121.208-28.963416.7551
4111488.9758119.792-30.815825.0242
427783.0748115.625-32.5502-6.0748
43120127.194110.20816.9857-7.19401
44133143.106107.04236.0644-10.106
45110112.819105.1677.65234-2.81901
4692113.375103.20810.1662-21.3746
4797111.402101.759.65234-14.4023
4878118.25103.08315.1662-40.2496
4999116.782106.54210.2403-17.782
50107105.537110.375-4.83841.4634
51112109.24118-8.759692.75969
529098.3283127.292-28.9634-8.32827
5398103.726134.542-30.8158-5.72584
54125109.366141.917-32.550215.6335
55155164.611147.62516.9857-9.61068
56190187.481151.41736.06442.51895
57236163.777156.1257.6523472.2227
58189171.208161.04210.166217.7921
59174176.736167.0839.65234-2.73568
60178187.083171.91715.1662-9.0829
61136188.449178.20810.2403-52.4486
62161179.828184.667-4.8384-18.8283
63171176.365185.125-8.75969-5.36531
64149158.953187.917-28.9634-9.95327
65184164.768195.583-30.815819.2325
66155171.491204.042-32.5502-16.4915
67276229.819212.83316.985746.181
68224255.314219.2536.0644-31.3144
69213232.6522257.65234-19.6523
70279244.75234.58310.166234.2504
71268251.402241.759.6523416.5977
72287261.875246.70815.166225.1254
73238263.949253.70810.2403-25.9486
74213256.87261.708-4.8384-43.8699
75257261.699270.458-8.75969-4.69864
76293244.12273.083-28.963448.8801
77212240.476271.292-30.8158-28.4758
78246239.741272.292-32.55026.25854
79353293.236276.2516.985759.7643
80339317.314281.2536.064421.6856
81308293.694286.0427.6523414.306
82247296.666286.510.1662-49.6662
83257297.402287.759.65234-40.4023
84322307.375292.20815.166214.6254
85298301.99291.7510.2403-3.99031
86273287.662292.5-4.8384-14.6616
87312286.365295.125-8.7596925.6347
88249269.578298.542-28.9634-20.5783
89286275.101305.917-30.815810.8992
90279278.7311.25-32.55020.300203
91309330.777313.79216.9857-21.7773
92401353.189317.12536.064447.8106
93309325.777318.1257.65234-16.7773
94328326.916316.7510.16621.08377
95353324.277314.6259.6523428.7227
96354328.25313.08315.166225.7504
97327325.574315.33310.24031.42636
98324314.87319.708-4.83849.13006
99285315.699324.458-8.75969-30.6986
100243304.412333.375-28.9634-61.4116
101241313.309344.125-30.8158-72.3092
102287317.241349.792-32.5502-30.2415
103355375.527358.54216.9857-20.5273
104460407.106371.04236.064452.894
105364387.736380.0837.65234-23.7357
106487399.375389.20810.166287.6254
107452406.777397.1259.6523445.2227
108391416.041400.87515.1662-25.0412
109500414.115403.87510.240385.8847
110451398.078402.917-4.838452.9217
111375394.199402.958-8.75969-19.1986
112372374.453403.417-28.9634-2.45327
113302NANA-30.8158NA
114316NANA-32.5502NA
115398NANA16.9857NA
116394NANA36.0644NA
117431NANA7.65234NA
118431NANA10.1662NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 41 & NA & NA & 10.2403 & NA \tabularnewline
2 & 39 & NA & NA & -4.8384 & NA \tabularnewline
3 & 50 & NA & NA & -8.75969 & NA \tabularnewline
4 & 40 & NA & NA & -28.9634 & NA \tabularnewline
5 & 43 & NA & NA & -30.8158 & NA \tabularnewline
6 & 38 & NA & NA & -32.5502 & NA \tabularnewline
7 & 44 & 57.5273 & 40.5417 & 16.9857 & -13.5273 \tabularnewline
8 & 35 & 77.8144 & 41.75 & 36.0644 & -42.8144 \tabularnewline
9 & 39 & 50.7773 & 43.125 & 7.65234 & -11.7773 \tabularnewline
10 & 35 & 53.4996 & 43.3333 & 10.1662 & -18.4996 \tabularnewline
11 & 29 & 52.4857 & 42.8333 & 9.65234 & -23.4857 \tabularnewline
12 & 49 & 58.2079 & 43.0417 & 15.1662 & -9.2079 \tabularnewline
13 & 50 & 54.032 & 43.7917 & 10.2403 & -4.03197 \tabularnewline
14 & 59 & 40.3699 & 45.2083 & -4.8384 & 18.6301 \tabularnewline
15 & 63 & 38.2403 & 47 & -8.75969 & 24.7597 \tabularnewline
16 & 32 & 19.4949 & 48.4583 & -28.9634 & 12.5051 \tabularnewline
17 & 39 & 20.0592 & 50.875 & -30.8158 & 18.9408 \tabularnewline
18 & 47 & 21.7415 & 54.2917 & -32.5502 & 25.2585 \tabularnewline
19 & 53 & 73.9857 & 57 & 16.9857 & -20.9857 \tabularnewline
20 & 60 & 94.1894 & 58.125 & 36.0644 & -34.1894 \tabularnewline
21 & 57 & 65.569 & 57.9167 & 7.65234 & -8.56901 \tabularnewline
22 & 52 & 69.9162 & 59.75 & 10.1662 & -17.9162 \tabularnewline
23 & 70 & 73.8607 & 64.2083 & 9.65234 & -3.86068 \tabularnewline
24 & 90 & 82.6246 & 67.4583 & 15.1662 & 7.37543 \tabularnewline
25 & 74 & 80.9486 & 70.7083 & 10.2403 & -6.94864 \tabularnewline
26 & 62 & 71.4533 & 76.2917 & -4.8384 & -9.45327 \tabularnewline
27 & 55 & 73.4486 & 82.2083 & -8.75969 & -18.4486 \tabularnewline
28 & 84 & 57.7449 & 86.7083 & -28.9634 & 26.2551 \tabularnewline
29 & 94 & 60.1008 & 90.9167 & -30.8158 & 33.8992 \tabularnewline
30 & 70 & 63.1581 & 95.7083 & -32.5502 & 6.84187 \tabularnewline
31 & 108 & 118.652 & 101.667 & 16.9857 & -10.6523 \tabularnewline
32 & 139 & 143.814 & 107.75 & 36.0644 & -4.81438 \tabularnewline
33 & 120 & 121.527 & 113.875 & 7.65234 & -1.52734 \tabularnewline
34 & 97 & 128.625 & 118.458 & 10.1662 & -31.6246 \tabularnewline
35 & 126 & 129.986 & 120.333 & 9.65234 & -3.98568 \tabularnewline
36 & 149 & 136.625 & 121.458 & 15.1662 & 12.3754 \tabularnewline
37 & 158 & 132.49 & 122.25 & 10.2403 & 25.5097 \tabularnewline
38 & 124 & 117.662 & 122.5 & -4.8384 & 6.3384 \tabularnewline
39 & 140 & 113.074 & 121.833 & -8.75969 & 26.9264 \tabularnewline
40 & 109 & 92.2449 & 121.208 & -28.9634 & 16.7551 \tabularnewline
41 & 114 & 88.9758 & 119.792 & -30.8158 & 25.0242 \tabularnewline
42 & 77 & 83.0748 & 115.625 & -32.5502 & -6.0748 \tabularnewline
43 & 120 & 127.194 & 110.208 & 16.9857 & -7.19401 \tabularnewline
44 & 133 & 143.106 & 107.042 & 36.0644 & -10.106 \tabularnewline
45 & 110 & 112.819 & 105.167 & 7.65234 & -2.81901 \tabularnewline
46 & 92 & 113.375 & 103.208 & 10.1662 & -21.3746 \tabularnewline
47 & 97 & 111.402 & 101.75 & 9.65234 & -14.4023 \tabularnewline
48 & 78 & 118.25 & 103.083 & 15.1662 & -40.2496 \tabularnewline
49 & 99 & 116.782 & 106.542 & 10.2403 & -17.782 \tabularnewline
50 & 107 & 105.537 & 110.375 & -4.8384 & 1.4634 \tabularnewline
51 & 112 & 109.24 & 118 & -8.75969 & 2.75969 \tabularnewline
52 & 90 & 98.3283 & 127.292 & -28.9634 & -8.32827 \tabularnewline
53 & 98 & 103.726 & 134.542 & -30.8158 & -5.72584 \tabularnewline
54 & 125 & 109.366 & 141.917 & -32.5502 & 15.6335 \tabularnewline
55 & 155 & 164.611 & 147.625 & 16.9857 & -9.61068 \tabularnewline
56 & 190 & 187.481 & 151.417 & 36.0644 & 2.51895 \tabularnewline
57 & 236 & 163.777 & 156.125 & 7.65234 & 72.2227 \tabularnewline
58 & 189 & 171.208 & 161.042 & 10.1662 & 17.7921 \tabularnewline
59 & 174 & 176.736 & 167.083 & 9.65234 & -2.73568 \tabularnewline
60 & 178 & 187.083 & 171.917 & 15.1662 & -9.0829 \tabularnewline
61 & 136 & 188.449 & 178.208 & 10.2403 & -52.4486 \tabularnewline
62 & 161 & 179.828 & 184.667 & -4.8384 & -18.8283 \tabularnewline
63 & 171 & 176.365 & 185.125 & -8.75969 & -5.36531 \tabularnewline
64 & 149 & 158.953 & 187.917 & -28.9634 & -9.95327 \tabularnewline
65 & 184 & 164.768 & 195.583 & -30.8158 & 19.2325 \tabularnewline
66 & 155 & 171.491 & 204.042 & -32.5502 & -16.4915 \tabularnewline
67 & 276 & 229.819 & 212.833 & 16.9857 & 46.181 \tabularnewline
68 & 224 & 255.314 & 219.25 & 36.0644 & -31.3144 \tabularnewline
69 & 213 & 232.652 & 225 & 7.65234 & -19.6523 \tabularnewline
70 & 279 & 244.75 & 234.583 & 10.1662 & 34.2504 \tabularnewline
71 & 268 & 251.402 & 241.75 & 9.65234 & 16.5977 \tabularnewline
72 & 287 & 261.875 & 246.708 & 15.1662 & 25.1254 \tabularnewline
73 & 238 & 263.949 & 253.708 & 10.2403 & -25.9486 \tabularnewline
74 & 213 & 256.87 & 261.708 & -4.8384 & -43.8699 \tabularnewline
75 & 257 & 261.699 & 270.458 & -8.75969 & -4.69864 \tabularnewline
76 & 293 & 244.12 & 273.083 & -28.9634 & 48.8801 \tabularnewline
77 & 212 & 240.476 & 271.292 & -30.8158 & -28.4758 \tabularnewline
78 & 246 & 239.741 & 272.292 & -32.5502 & 6.25854 \tabularnewline
79 & 353 & 293.236 & 276.25 & 16.9857 & 59.7643 \tabularnewline
80 & 339 & 317.314 & 281.25 & 36.0644 & 21.6856 \tabularnewline
81 & 308 & 293.694 & 286.042 & 7.65234 & 14.306 \tabularnewline
82 & 247 & 296.666 & 286.5 & 10.1662 & -49.6662 \tabularnewline
83 & 257 & 297.402 & 287.75 & 9.65234 & -40.4023 \tabularnewline
84 & 322 & 307.375 & 292.208 & 15.1662 & 14.6254 \tabularnewline
85 & 298 & 301.99 & 291.75 & 10.2403 & -3.99031 \tabularnewline
86 & 273 & 287.662 & 292.5 & -4.8384 & -14.6616 \tabularnewline
87 & 312 & 286.365 & 295.125 & -8.75969 & 25.6347 \tabularnewline
88 & 249 & 269.578 & 298.542 & -28.9634 & -20.5783 \tabularnewline
89 & 286 & 275.101 & 305.917 & -30.8158 & 10.8992 \tabularnewline
90 & 279 & 278.7 & 311.25 & -32.5502 & 0.300203 \tabularnewline
91 & 309 & 330.777 & 313.792 & 16.9857 & -21.7773 \tabularnewline
92 & 401 & 353.189 & 317.125 & 36.0644 & 47.8106 \tabularnewline
93 & 309 & 325.777 & 318.125 & 7.65234 & -16.7773 \tabularnewline
94 & 328 & 326.916 & 316.75 & 10.1662 & 1.08377 \tabularnewline
95 & 353 & 324.277 & 314.625 & 9.65234 & 28.7227 \tabularnewline
96 & 354 & 328.25 & 313.083 & 15.1662 & 25.7504 \tabularnewline
97 & 327 & 325.574 & 315.333 & 10.2403 & 1.42636 \tabularnewline
98 & 324 & 314.87 & 319.708 & -4.8384 & 9.13006 \tabularnewline
99 & 285 & 315.699 & 324.458 & -8.75969 & -30.6986 \tabularnewline
100 & 243 & 304.412 & 333.375 & -28.9634 & -61.4116 \tabularnewline
101 & 241 & 313.309 & 344.125 & -30.8158 & -72.3092 \tabularnewline
102 & 287 & 317.241 & 349.792 & -32.5502 & -30.2415 \tabularnewline
103 & 355 & 375.527 & 358.542 & 16.9857 & -20.5273 \tabularnewline
104 & 460 & 407.106 & 371.042 & 36.0644 & 52.894 \tabularnewline
105 & 364 & 387.736 & 380.083 & 7.65234 & -23.7357 \tabularnewline
106 & 487 & 399.375 & 389.208 & 10.1662 & 87.6254 \tabularnewline
107 & 452 & 406.777 & 397.125 & 9.65234 & 45.2227 \tabularnewline
108 & 391 & 416.041 & 400.875 & 15.1662 & -25.0412 \tabularnewline
109 & 500 & 414.115 & 403.875 & 10.2403 & 85.8847 \tabularnewline
110 & 451 & 398.078 & 402.917 & -4.8384 & 52.9217 \tabularnewline
111 & 375 & 394.199 & 402.958 & -8.75969 & -19.1986 \tabularnewline
112 & 372 & 374.453 & 403.417 & -28.9634 & -2.45327 \tabularnewline
113 & 302 & NA & NA & -30.8158 & NA \tabularnewline
114 & 316 & NA & NA & -32.5502 & NA \tabularnewline
115 & 398 & NA & NA & 16.9857 & NA \tabularnewline
116 & 394 & NA & NA & 36.0644 & NA \tabularnewline
117 & 431 & NA & NA & 7.65234 & NA \tabularnewline
118 & 431 & NA & NA & 10.1662 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225734&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]10.2403[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]39[/C][C]NA[/C][C]NA[/C][C]-4.8384[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]50[/C][C]NA[/C][C]NA[/C][C]-8.75969[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]40[/C][C]NA[/C][C]NA[/C][C]-28.9634[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]43[/C][C]NA[/C][C]NA[/C][C]-30.8158[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]38[/C][C]NA[/C][C]NA[/C][C]-32.5502[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]57.5273[/C][C]40.5417[/C][C]16.9857[/C][C]-13.5273[/C][/ROW]
[ROW][C]8[/C][C]35[/C][C]77.8144[/C][C]41.75[/C][C]36.0644[/C][C]-42.8144[/C][/ROW]
[ROW][C]9[/C][C]39[/C][C]50.7773[/C][C]43.125[/C][C]7.65234[/C][C]-11.7773[/C][/ROW]
[ROW][C]10[/C][C]35[/C][C]53.4996[/C][C]43.3333[/C][C]10.1662[/C][C]-18.4996[/C][/ROW]
[ROW][C]11[/C][C]29[/C][C]52.4857[/C][C]42.8333[/C][C]9.65234[/C][C]-23.4857[/C][/ROW]
[ROW][C]12[/C][C]49[/C][C]58.2079[/C][C]43.0417[/C][C]15.1662[/C][C]-9.2079[/C][/ROW]
[ROW][C]13[/C][C]50[/C][C]54.032[/C][C]43.7917[/C][C]10.2403[/C][C]-4.03197[/C][/ROW]
[ROW][C]14[/C][C]59[/C][C]40.3699[/C][C]45.2083[/C][C]-4.8384[/C][C]18.6301[/C][/ROW]
[ROW][C]15[/C][C]63[/C][C]38.2403[/C][C]47[/C][C]-8.75969[/C][C]24.7597[/C][/ROW]
[ROW][C]16[/C][C]32[/C][C]19.4949[/C][C]48.4583[/C][C]-28.9634[/C][C]12.5051[/C][/ROW]
[ROW][C]17[/C][C]39[/C][C]20.0592[/C][C]50.875[/C][C]-30.8158[/C][C]18.9408[/C][/ROW]
[ROW][C]18[/C][C]47[/C][C]21.7415[/C][C]54.2917[/C][C]-32.5502[/C][C]25.2585[/C][/ROW]
[ROW][C]19[/C][C]53[/C][C]73.9857[/C][C]57[/C][C]16.9857[/C][C]-20.9857[/C][/ROW]
[ROW][C]20[/C][C]60[/C][C]94.1894[/C][C]58.125[/C][C]36.0644[/C][C]-34.1894[/C][/ROW]
[ROW][C]21[/C][C]57[/C][C]65.569[/C][C]57.9167[/C][C]7.65234[/C][C]-8.56901[/C][/ROW]
[ROW][C]22[/C][C]52[/C][C]69.9162[/C][C]59.75[/C][C]10.1662[/C][C]-17.9162[/C][/ROW]
[ROW][C]23[/C][C]70[/C][C]73.8607[/C][C]64.2083[/C][C]9.65234[/C][C]-3.86068[/C][/ROW]
[ROW][C]24[/C][C]90[/C][C]82.6246[/C][C]67.4583[/C][C]15.1662[/C][C]7.37543[/C][/ROW]
[ROW][C]25[/C][C]74[/C][C]80.9486[/C][C]70.7083[/C][C]10.2403[/C][C]-6.94864[/C][/ROW]
[ROW][C]26[/C][C]62[/C][C]71.4533[/C][C]76.2917[/C][C]-4.8384[/C][C]-9.45327[/C][/ROW]
[ROW][C]27[/C][C]55[/C][C]73.4486[/C][C]82.2083[/C][C]-8.75969[/C][C]-18.4486[/C][/ROW]
[ROW][C]28[/C][C]84[/C][C]57.7449[/C][C]86.7083[/C][C]-28.9634[/C][C]26.2551[/C][/ROW]
[ROW][C]29[/C][C]94[/C][C]60.1008[/C][C]90.9167[/C][C]-30.8158[/C][C]33.8992[/C][/ROW]
[ROW][C]30[/C][C]70[/C][C]63.1581[/C][C]95.7083[/C][C]-32.5502[/C][C]6.84187[/C][/ROW]
[ROW][C]31[/C][C]108[/C][C]118.652[/C][C]101.667[/C][C]16.9857[/C][C]-10.6523[/C][/ROW]
[ROW][C]32[/C][C]139[/C][C]143.814[/C][C]107.75[/C][C]36.0644[/C][C]-4.81438[/C][/ROW]
[ROW][C]33[/C][C]120[/C][C]121.527[/C][C]113.875[/C][C]7.65234[/C][C]-1.52734[/C][/ROW]
[ROW][C]34[/C][C]97[/C][C]128.625[/C][C]118.458[/C][C]10.1662[/C][C]-31.6246[/C][/ROW]
[ROW][C]35[/C][C]126[/C][C]129.986[/C][C]120.333[/C][C]9.65234[/C][C]-3.98568[/C][/ROW]
[ROW][C]36[/C][C]149[/C][C]136.625[/C][C]121.458[/C][C]15.1662[/C][C]12.3754[/C][/ROW]
[ROW][C]37[/C][C]158[/C][C]132.49[/C][C]122.25[/C][C]10.2403[/C][C]25.5097[/C][/ROW]
[ROW][C]38[/C][C]124[/C][C]117.662[/C][C]122.5[/C][C]-4.8384[/C][C]6.3384[/C][/ROW]
[ROW][C]39[/C][C]140[/C][C]113.074[/C][C]121.833[/C][C]-8.75969[/C][C]26.9264[/C][/ROW]
[ROW][C]40[/C][C]109[/C][C]92.2449[/C][C]121.208[/C][C]-28.9634[/C][C]16.7551[/C][/ROW]
[ROW][C]41[/C][C]114[/C][C]88.9758[/C][C]119.792[/C][C]-30.8158[/C][C]25.0242[/C][/ROW]
[ROW][C]42[/C][C]77[/C][C]83.0748[/C][C]115.625[/C][C]-32.5502[/C][C]-6.0748[/C][/ROW]
[ROW][C]43[/C][C]120[/C][C]127.194[/C][C]110.208[/C][C]16.9857[/C][C]-7.19401[/C][/ROW]
[ROW][C]44[/C][C]133[/C][C]143.106[/C][C]107.042[/C][C]36.0644[/C][C]-10.106[/C][/ROW]
[ROW][C]45[/C][C]110[/C][C]112.819[/C][C]105.167[/C][C]7.65234[/C][C]-2.81901[/C][/ROW]
[ROW][C]46[/C][C]92[/C][C]113.375[/C][C]103.208[/C][C]10.1662[/C][C]-21.3746[/C][/ROW]
[ROW][C]47[/C][C]97[/C][C]111.402[/C][C]101.75[/C][C]9.65234[/C][C]-14.4023[/C][/ROW]
[ROW][C]48[/C][C]78[/C][C]118.25[/C][C]103.083[/C][C]15.1662[/C][C]-40.2496[/C][/ROW]
[ROW][C]49[/C][C]99[/C][C]116.782[/C][C]106.542[/C][C]10.2403[/C][C]-17.782[/C][/ROW]
[ROW][C]50[/C][C]107[/C][C]105.537[/C][C]110.375[/C][C]-4.8384[/C][C]1.4634[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]109.24[/C][C]118[/C][C]-8.75969[/C][C]2.75969[/C][/ROW]
[ROW][C]52[/C][C]90[/C][C]98.3283[/C][C]127.292[/C][C]-28.9634[/C][C]-8.32827[/C][/ROW]
[ROW][C]53[/C][C]98[/C][C]103.726[/C][C]134.542[/C][C]-30.8158[/C][C]-5.72584[/C][/ROW]
[ROW][C]54[/C][C]125[/C][C]109.366[/C][C]141.917[/C][C]-32.5502[/C][C]15.6335[/C][/ROW]
[ROW][C]55[/C][C]155[/C][C]164.611[/C][C]147.625[/C][C]16.9857[/C][C]-9.61068[/C][/ROW]
[ROW][C]56[/C][C]190[/C][C]187.481[/C][C]151.417[/C][C]36.0644[/C][C]2.51895[/C][/ROW]
[ROW][C]57[/C][C]236[/C][C]163.777[/C][C]156.125[/C][C]7.65234[/C][C]72.2227[/C][/ROW]
[ROW][C]58[/C][C]189[/C][C]171.208[/C][C]161.042[/C][C]10.1662[/C][C]17.7921[/C][/ROW]
[ROW][C]59[/C][C]174[/C][C]176.736[/C][C]167.083[/C][C]9.65234[/C][C]-2.73568[/C][/ROW]
[ROW][C]60[/C][C]178[/C][C]187.083[/C][C]171.917[/C][C]15.1662[/C][C]-9.0829[/C][/ROW]
[ROW][C]61[/C][C]136[/C][C]188.449[/C][C]178.208[/C][C]10.2403[/C][C]-52.4486[/C][/ROW]
[ROW][C]62[/C][C]161[/C][C]179.828[/C][C]184.667[/C][C]-4.8384[/C][C]-18.8283[/C][/ROW]
[ROW][C]63[/C][C]171[/C][C]176.365[/C][C]185.125[/C][C]-8.75969[/C][C]-5.36531[/C][/ROW]
[ROW][C]64[/C][C]149[/C][C]158.953[/C][C]187.917[/C][C]-28.9634[/C][C]-9.95327[/C][/ROW]
[ROW][C]65[/C][C]184[/C][C]164.768[/C][C]195.583[/C][C]-30.8158[/C][C]19.2325[/C][/ROW]
[ROW][C]66[/C][C]155[/C][C]171.491[/C][C]204.042[/C][C]-32.5502[/C][C]-16.4915[/C][/ROW]
[ROW][C]67[/C][C]276[/C][C]229.819[/C][C]212.833[/C][C]16.9857[/C][C]46.181[/C][/ROW]
[ROW][C]68[/C][C]224[/C][C]255.314[/C][C]219.25[/C][C]36.0644[/C][C]-31.3144[/C][/ROW]
[ROW][C]69[/C][C]213[/C][C]232.652[/C][C]225[/C][C]7.65234[/C][C]-19.6523[/C][/ROW]
[ROW][C]70[/C][C]279[/C][C]244.75[/C][C]234.583[/C][C]10.1662[/C][C]34.2504[/C][/ROW]
[ROW][C]71[/C][C]268[/C][C]251.402[/C][C]241.75[/C][C]9.65234[/C][C]16.5977[/C][/ROW]
[ROW][C]72[/C][C]287[/C][C]261.875[/C][C]246.708[/C][C]15.1662[/C][C]25.1254[/C][/ROW]
[ROW][C]73[/C][C]238[/C][C]263.949[/C][C]253.708[/C][C]10.2403[/C][C]-25.9486[/C][/ROW]
[ROW][C]74[/C][C]213[/C][C]256.87[/C][C]261.708[/C][C]-4.8384[/C][C]-43.8699[/C][/ROW]
[ROW][C]75[/C][C]257[/C][C]261.699[/C][C]270.458[/C][C]-8.75969[/C][C]-4.69864[/C][/ROW]
[ROW][C]76[/C][C]293[/C][C]244.12[/C][C]273.083[/C][C]-28.9634[/C][C]48.8801[/C][/ROW]
[ROW][C]77[/C][C]212[/C][C]240.476[/C][C]271.292[/C][C]-30.8158[/C][C]-28.4758[/C][/ROW]
[ROW][C]78[/C][C]246[/C][C]239.741[/C][C]272.292[/C][C]-32.5502[/C][C]6.25854[/C][/ROW]
[ROW][C]79[/C][C]353[/C][C]293.236[/C][C]276.25[/C][C]16.9857[/C][C]59.7643[/C][/ROW]
[ROW][C]80[/C][C]339[/C][C]317.314[/C][C]281.25[/C][C]36.0644[/C][C]21.6856[/C][/ROW]
[ROW][C]81[/C][C]308[/C][C]293.694[/C][C]286.042[/C][C]7.65234[/C][C]14.306[/C][/ROW]
[ROW][C]82[/C][C]247[/C][C]296.666[/C][C]286.5[/C][C]10.1662[/C][C]-49.6662[/C][/ROW]
[ROW][C]83[/C][C]257[/C][C]297.402[/C][C]287.75[/C][C]9.65234[/C][C]-40.4023[/C][/ROW]
[ROW][C]84[/C][C]322[/C][C]307.375[/C][C]292.208[/C][C]15.1662[/C][C]14.6254[/C][/ROW]
[ROW][C]85[/C][C]298[/C][C]301.99[/C][C]291.75[/C][C]10.2403[/C][C]-3.99031[/C][/ROW]
[ROW][C]86[/C][C]273[/C][C]287.662[/C][C]292.5[/C][C]-4.8384[/C][C]-14.6616[/C][/ROW]
[ROW][C]87[/C][C]312[/C][C]286.365[/C][C]295.125[/C][C]-8.75969[/C][C]25.6347[/C][/ROW]
[ROW][C]88[/C][C]249[/C][C]269.578[/C][C]298.542[/C][C]-28.9634[/C][C]-20.5783[/C][/ROW]
[ROW][C]89[/C][C]286[/C][C]275.101[/C][C]305.917[/C][C]-30.8158[/C][C]10.8992[/C][/ROW]
[ROW][C]90[/C][C]279[/C][C]278.7[/C][C]311.25[/C][C]-32.5502[/C][C]0.300203[/C][/ROW]
[ROW][C]91[/C][C]309[/C][C]330.777[/C][C]313.792[/C][C]16.9857[/C][C]-21.7773[/C][/ROW]
[ROW][C]92[/C][C]401[/C][C]353.189[/C][C]317.125[/C][C]36.0644[/C][C]47.8106[/C][/ROW]
[ROW][C]93[/C][C]309[/C][C]325.777[/C][C]318.125[/C][C]7.65234[/C][C]-16.7773[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]326.916[/C][C]316.75[/C][C]10.1662[/C][C]1.08377[/C][/ROW]
[ROW][C]95[/C][C]353[/C][C]324.277[/C][C]314.625[/C][C]9.65234[/C][C]28.7227[/C][/ROW]
[ROW][C]96[/C][C]354[/C][C]328.25[/C][C]313.083[/C][C]15.1662[/C][C]25.7504[/C][/ROW]
[ROW][C]97[/C][C]327[/C][C]325.574[/C][C]315.333[/C][C]10.2403[/C][C]1.42636[/C][/ROW]
[ROW][C]98[/C][C]324[/C][C]314.87[/C][C]319.708[/C][C]-4.8384[/C][C]9.13006[/C][/ROW]
[ROW][C]99[/C][C]285[/C][C]315.699[/C][C]324.458[/C][C]-8.75969[/C][C]-30.6986[/C][/ROW]
[ROW][C]100[/C][C]243[/C][C]304.412[/C][C]333.375[/C][C]-28.9634[/C][C]-61.4116[/C][/ROW]
[ROW][C]101[/C][C]241[/C][C]313.309[/C][C]344.125[/C][C]-30.8158[/C][C]-72.3092[/C][/ROW]
[ROW][C]102[/C][C]287[/C][C]317.241[/C][C]349.792[/C][C]-32.5502[/C][C]-30.2415[/C][/ROW]
[ROW][C]103[/C][C]355[/C][C]375.527[/C][C]358.542[/C][C]16.9857[/C][C]-20.5273[/C][/ROW]
[ROW][C]104[/C][C]460[/C][C]407.106[/C][C]371.042[/C][C]36.0644[/C][C]52.894[/C][/ROW]
[ROW][C]105[/C][C]364[/C][C]387.736[/C][C]380.083[/C][C]7.65234[/C][C]-23.7357[/C][/ROW]
[ROW][C]106[/C][C]487[/C][C]399.375[/C][C]389.208[/C][C]10.1662[/C][C]87.6254[/C][/ROW]
[ROW][C]107[/C][C]452[/C][C]406.777[/C][C]397.125[/C][C]9.65234[/C][C]45.2227[/C][/ROW]
[ROW][C]108[/C][C]391[/C][C]416.041[/C][C]400.875[/C][C]15.1662[/C][C]-25.0412[/C][/ROW]
[ROW][C]109[/C][C]500[/C][C]414.115[/C][C]403.875[/C][C]10.2403[/C][C]85.8847[/C][/ROW]
[ROW][C]110[/C][C]451[/C][C]398.078[/C][C]402.917[/C][C]-4.8384[/C][C]52.9217[/C][/ROW]
[ROW][C]111[/C][C]375[/C][C]394.199[/C][C]402.958[/C][C]-8.75969[/C][C]-19.1986[/C][/ROW]
[ROW][C]112[/C][C]372[/C][C]374.453[/C][C]403.417[/C][C]-28.9634[/C][C]-2.45327[/C][/ROW]
[ROW][C]113[/C][C]302[/C][C]NA[/C][C]NA[/C][C]-30.8158[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]316[/C][C]NA[/C][C]NA[/C][C]-32.5502[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]398[/C][C]NA[/C][C]NA[/C][C]16.9857[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]394[/C][C]NA[/C][C]NA[/C][C]36.0644[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]431[/C][C]NA[/C][C]NA[/C][C]7.65234[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]431[/C][C]NA[/C][C]NA[/C][C]10.1662[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225734&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225734&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
141NANA10.2403NA
239NANA-4.8384NA
350NANA-8.75969NA
440NANA-28.9634NA
543NANA-30.8158NA
638NANA-32.5502NA
74457.527340.541716.9857-13.5273
83577.814441.7536.0644-42.8144
93950.777343.1257.65234-11.7773
103553.499643.333310.1662-18.4996
112952.485742.83339.65234-23.4857
124958.207943.041715.1662-9.2079
135054.03243.791710.2403-4.03197
145940.369945.2083-4.838418.6301
156338.240347-8.7596924.7597
163219.494948.4583-28.963412.5051
173920.059250.875-30.815818.9408
184721.741554.2917-32.550225.2585
195373.98575716.9857-20.9857
206094.189458.12536.0644-34.1894
215765.56957.91677.65234-8.56901
225269.916259.7510.1662-17.9162
237073.860764.20839.65234-3.86068
249082.624667.458315.16627.37543
257480.948670.708310.2403-6.94864
266271.453376.2917-4.8384-9.45327
275573.448682.2083-8.75969-18.4486
288457.744986.7083-28.963426.2551
299460.100890.9167-30.815833.8992
307063.158195.7083-32.55026.84187
31108118.652101.66716.9857-10.6523
32139143.814107.7536.0644-4.81438
33120121.527113.8757.65234-1.52734
3497128.625118.45810.1662-31.6246
35126129.986120.3339.65234-3.98568
36149136.625121.45815.166212.3754
37158132.49122.2510.240325.5097
38124117.662122.5-4.83846.3384
39140113.074121.833-8.7596926.9264
4010992.2449121.208-28.963416.7551
4111488.9758119.792-30.815825.0242
427783.0748115.625-32.5502-6.0748
43120127.194110.20816.9857-7.19401
44133143.106107.04236.0644-10.106
45110112.819105.1677.65234-2.81901
4692113.375103.20810.1662-21.3746
4797111.402101.759.65234-14.4023
4878118.25103.08315.1662-40.2496
4999116.782106.54210.2403-17.782
50107105.537110.375-4.83841.4634
51112109.24118-8.759692.75969
529098.3283127.292-28.9634-8.32827
5398103.726134.542-30.8158-5.72584
54125109.366141.917-32.550215.6335
55155164.611147.62516.9857-9.61068
56190187.481151.41736.06442.51895
57236163.777156.1257.6523472.2227
58189171.208161.04210.166217.7921
59174176.736167.0839.65234-2.73568
60178187.083171.91715.1662-9.0829
61136188.449178.20810.2403-52.4486
62161179.828184.667-4.8384-18.8283
63171176.365185.125-8.75969-5.36531
64149158.953187.917-28.9634-9.95327
65184164.768195.583-30.815819.2325
66155171.491204.042-32.5502-16.4915
67276229.819212.83316.985746.181
68224255.314219.2536.0644-31.3144
69213232.6522257.65234-19.6523
70279244.75234.58310.166234.2504
71268251.402241.759.6523416.5977
72287261.875246.70815.166225.1254
73238263.949253.70810.2403-25.9486
74213256.87261.708-4.8384-43.8699
75257261.699270.458-8.75969-4.69864
76293244.12273.083-28.963448.8801
77212240.476271.292-30.8158-28.4758
78246239.741272.292-32.55026.25854
79353293.236276.2516.985759.7643
80339317.314281.2536.064421.6856
81308293.694286.0427.6523414.306
82247296.666286.510.1662-49.6662
83257297.402287.759.65234-40.4023
84322307.375292.20815.166214.6254
85298301.99291.7510.2403-3.99031
86273287.662292.5-4.8384-14.6616
87312286.365295.125-8.7596925.6347
88249269.578298.542-28.9634-20.5783
89286275.101305.917-30.815810.8992
90279278.7311.25-32.55020.300203
91309330.777313.79216.9857-21.7773
92401353.189317.12536.064447.8106
93309325.777318.1257.65234-16.7773
94328326.916316.7510.16621.08377
95353324.277314.6259.6523428.7227
96354328.25313.08315.166225.7504
97327325.574315.33310.24031.42636
98324314.87319.708-4.83849.13006
99285315.699324.458-8.75969-30.6986
100243304.412333.375-28.9634-61.4116
101241313.309344.125-30.8158-72.3092
102287317.241349.792-32.5502-30.2415
103355375.527358.54216.9857-20.5273
104460407.106371.04236.064452.894
105364387.736380.0837.65234-23.7357
106487399.375389.20810.166287.6254
107452406.777397.1259.6523445.2227
108391416.041400.87515.1662-25.0412
109500414.115403.87510.240385.8847
110451398.078402.917-4.838452.9217
111375394.199402.958-8.75969-19.1986
112372374.453403.417-28.9634-2.45327
113302NANA-30.8158NA
114316NANA-32.5502NA
115398NANA16.9857NA
116394NANA36.0644NA
117431NANA7.65234NA
118431NANA10.1662NA



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