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Author's title

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 06:48:34 -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/t13846890927pl09225lj5gaib.htm/, Retrieved Sun, 28 Apr 2024 22:27:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=225707, Retrieved Sun, 28 Apr 2024 22:27:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classic deco; multi] [2013-11-17 11:48:34] [749a420f200698d17bb72e93ba1c9c74] [Current]
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Dataseries X:
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432




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=225707&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=225707&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225707&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
1112NANA0.91023NA
2118NANA0.883625NA
3132NANA1.00737NA
4129NANA0.975906NA
5121NANA0.981378NA
6135NANA1.11278NA
7148155.517126.7921.226560.951664
8148155.234127.251.219910.953401
9136135.699127.9581.060491.00222
10119118.523128.5830.9217571.00403
11104103.3521290.8011781.00627
12118116.622129.750.8988241.01181
13115119.468131.250.910230.962603
14126117.596133.0830.8836251.07147
15141135.911134.9171.007371.03745
16135133.13136.4170.9759061.01405
17125134.858137.4170.9813780.926903
18149154.398138.751.112780.965041
19170172.842140.9171.226560.983557
20170174.651143.1671.219910.973372
21158154.523145.7081.060491.0225
22133136.804148.4170.9217570.972193
23114121.412151.5420.8011780.938953
24140139.056154.7080.8988241.00679
25145143.02157.1250.910231.01384
26150140.975159.5420.8836251.06402
27178163.025161.8331.007371.09185
28163160.171164.1250.9759061.01767
29172163.563166.6670.9813781.05158
30178188.152169.0831.112780.946044
31199210.048171.251.226560.947404
32199211.756173.5831.219910.93976
33184186.072175.4581.060490.988864
34162162.997176.8330.9217570.993881
35146142.643178.0420.8011781.02353
36166161.938180.1670.8988241.02508
37171166.686183.1250.910231.02588
38180164.538186.2080.8836251.09397
39193190.434189.0421.007371.01347
40181186.683191.2920.9759060.96956
41183189.978193.5830.9813780.963267
42218217.919195.8331.112781.00037
43230242.909198.0421.226560.946856
44242243.677199.751.219910.993117
45209214.44202.2081.060490.97463
46191190.112206.250.9217571.00467
47172168.581210.4170.8011781.02028
48194191.787213.3750.8988241.01154
49196196.458215.8330.910230.997668
50196193.072218.50.8836251.01516
51236222.544220.9171.007371.06046
52235217.546222.9170.9759061.08023
53229219.91224.0830.9813781.04133
54243250.05224.7081.112780.971806
55264276.384225.3331.226560.955193
56272274.887225.3331.219910.989499
57237238.566224.9581.060490.993434
58211207.011224.5830.9217571.01927
59180179.831224.4580.8011781.00094
60201202.722225.5420.8988240.991504
61204207.5332280.910230.982978
62188203.639230.4580.8836250.923203
63235233.961232.251.007371.00444
64227228.281233.9170.9759060.99439
65234231.237235.6250.9813781.01195
66264264.562237.751.112780.997874
67302294.987240.51.226561.02378
68293297.607243.9581.219910.984518
69259262.118247.1671.060490.988104
70229230.67250.250.9217570.992761
71203203.099253.50.8011780.999514
72229231.11257.1250.8988240.990869
73242238.329261.8330.910231.0154
74233235.633266.6670.8836250.988824
75267273.122271.1251.007370.977584
76269268.577275.2080.9759061.00157
77270273.314278.50.9813780.987876
78315313.756281.9581.112781.00396
79364350.488285.751.226561.03855
80347352.961289.3331.219910.983112
81312310.989293.251.060491.00325
82274273.916297.1670.9217571.00031
83237241.1553010.8011780.982772
84278274.553305.4580.8988241.01255
85284282.133309.9580.910231.00662
86277277.827314.4170.8836250.997025
87317320.972318.6251.007370.987625
88313313.998321.750.9759060.996822
89318318.457324.50.9813780.998564
90374363.97327.0831.112781.02756
91413404.201329.5421.226561.02177
92405404.807331.8331.219911.00048
93355354.69334.4581.060491.00087
94306311.131337.5420.9217570.983507
95271272.835340.5420.8011780.993276
96306309.27344.0830.8988240.989425
97315316.988348.250.910230.993729
98301311.923530.8836250.964992
99356360.259357.6251.007370.988177
100348352.668361.3750.9759060.986764
101355357.712364.50.9813780.992418
102422408.574367.1671.112781.03286
103465453.161369.4581.226561.02612
104467452.841371.2081.219911.03127
105404394.68372.1671.060491.02361
106347343.278372.4170.9217571.01084
107305298.639372.750.8011781.0213
108336335.823373.6250.8988241.00053
109340341.564375.250.910230.995421
110318333.937377.9170.8836250.952276
111362382.296379.51.007370.946911
112348370.8443800.9759060.938399
113363373.619380.7080.9813780.971579
114435423.921380.9581.112781.02613
115491468.34381.8331.226561.04838
116505468.039383.6671.219911.07897
117404409.88386.51.060490.985654
118359359.793390.3330.9217570.997797
119310316.232394.7080.8011780.980294
120337358.294398.6250.8988240.940569
121360366.406402.5420.910230.982518
122342359.783407.1670.8836250.950574
123406414.909411.8751.007370.978528
124396406.302416.3330.9759060.974644
125420412.669420.50.9813781.01776
126472473.486425.51.112780.996861
127548528.288430.7081.226561.03731
128559530.814435.1251.219911.0531
129463464.186437.7081.060490.997445
130407406.457440.9580.9217571.00134
131362357.192445.8330.8011781.01346
132405405.033450.6250.8988240.999919
133417415.368456.3330.910231.00393
134391407.683461.3750.8836250.959079
135419468.635465.2081.007370.894086
136461458.025469.3330.9759061.00649
137472463.946472.750.9813781.01736
138535528.615475.0421.112781.01208
139622NANA1.22656NA
140606NANA1.21991NA
141508NANA1.06049NA
142461NANA0.921757NA
143390NANA0.801178NA
144432NANA0.898824NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 112 & NA & NA & 0.91023 & NA \tabularnewline
2 & 118 & NA & NA & 0.883625 & NA \tabularnewline
3 & 132 & NA & NA & 1.00737 & NA \tabularnewline
4 & 129 & NA & NA & 0.975906 & NA \tabularnewline
5 & 121 & NA & NA & 0.981378 & NA \tabularnewline
6 & 135 & NA & NA & 1.11278 & NA \tabularnewline
7 & 148 & 155.517 & 126.792 & 1.22656 & 0.951664 \tabularnewline
8 & 148 & 155.234 & 127.25 & 1.21991 & 0.953401 \tabularnewline
9 & 136 & 135.699 & 127.958 & 1.06049 & 1.00222 \tabularnewline
10 & 119 & 118.523 & 128.583 & 0.921757 & 1.00403 \tabularnewline
11 & 104 & 103.352 & 129 & 0.801178 & 1.00627 \tabularnewline
12 & 118 & 116.622 & 129.75 & 0.898824 & 1.01181 \tabularnewline
13 & 115 & 119.468 & 131.25 & 0.91023 & 0.962603 \tabularnewline
14 & 126 & 117.596 & 133.083 & 0.883625 & 1.07147 \tabularnewline
15 & 141 & 135.911 & 134.917 & 1.00737 & 1.03745 \tabularnewline
16 & 135 & 133.13 & 136.417 & 0.975906 & 1.01405 \tabularnewline
17 & 125 & 134.858 & 137.417 & 0.981378 & 0.926903 \tabularnewline
18 & 149 & 154.398 & 138.75 & 1.11278 & 0.965041 \tabularnewline
19 & 170 & 172.842 & 140.917 & 1.22656 & 0.983557 \tabularnewline
20 & 170 & 174.651 & 143.167 & 1.21991 & 0.973372 \tabularnewline
21 & 158 & 154.523 & 145.708 & 1.06049 & 1.0225 \tabularnewline
22 & 133 & 136.804 & 148.417 & 0.921757 & 0.972193 \tabularnewline
23 & 114 & 121.412 & 151.542 & 0.801178 & 0.938953 \tabularnewline
24 & 140 & 139.056 & 154.708 & 0.898824 & 1.00679 \tabularnewline
25 & 145 & 143.02 & 157.125 & 0.91023 & 1.01384 \tabularnewline
26 & 150 & 140.975 & 159.542 & 0.883625 & 1.06402 \tabularnewline
27 & 178 & 163.025 & 161.833 & 1.00737 & 1.09185 \tabularnewline
28 & 163 & 160.171 & 164.125 & 0.975906 & 1.01767 \tabularnewline
29 & 172 & 163.563 & 166.667 & 0.981378 & 1.05158 \tabularnewline
30 & 178 & 188.152 & 169.083 & 1.11278 & 0.946044 \tabularnewline
31 & 199 & 210.048 & 171.25 & 1.22656 & 0.947404 \tabularnewline
32 & 199 & 211.756 & 173.583 & 1.21991 & 0.93976 \tabularnewline
33 & 184 & 186.072 & 175.458 & 1.06049 & 0.988864 \tabularnewline
34 & 162 & 162.997 & 176.833 & 0.921757 & 0.993881 \tabularnewline
35 & 146 & 142.643 & 178.042 & 0.801178 & 1.02353 \tabularnewline
36 & 166 & 161.938 & 180.167 & 0.898824 & 1.02508 \tabularnewline
37 & 171 & 166.686 & 183.125 & 0.91023 & 1.02588 \tabularnewline
38 & 180 & 164.538 & 186.208 & 0.883625 & 1.09397 \tabularnewline
39 & 193 & 190.434 & 189.042 & 1.00737 & 1.01347 \tabularnewline
40 & 181 & 186.683 & 191.292 & 0.975906 & 0.96956 \tabularnewline
41 & 183 & 189.978 & 193.583 & 0.981378 & 0.963267 \tabularnewline
42 & 218 & 217.919 & 195.833 & 1.11278 & 1.00037 \tabularnewline
43 & 230 & 242.909 & 198.042 & 1.22656 & 0.946856 \tabularnewline
44 & 242 & 243.677 & 199.75 & 1.21991 & 0.993117 \tabularnewline
45 & 209 & 214.44 & 202.208 & 1.06049 & 0.97463 \tabularnewline
46 & 191 & 190.112 & 206.25 & 0.921757 & 1.00467 \tabularnewline
47 & 172 & 168.581 & 210.417 & 0.801178 & 1.02028 \tabularnewline
48 & 194 & 191.787 & 213.375 & 0.898824 & 1.01154 \tabularnewline
49 & 196 & 196.458 & 215.833 & 0.91023 & 0.997668 \tabularnewline
50 & 196 & 193.072 & 218.5 & 0.883625 & 1.01516 \tabularnewline
51 & 236 & 222.544 & 220.917 & 1.00737 & 1.06046 \tabularnewline
52 & 235 & 217.546 & 222.917 & 0.975906 & 1.08023 \tabularnewline
53 & 229 & 219.91 & 224.083 & 0.981378 & 1.04133 \tabularnewline
54 & 243 & 250.05 & 224.708 & 1.11278 & 0.971806 \tabularnewline
55 & 264 & 276.384 & 225.333 & 1.22656 & 0.955193 \tabularnewline
56 & 272 & 274.887 & 225.333 & 1.21991 & 0.989499 \tabularnewline
57 & 237 & 238.566 & 224.958 & 1.06049 & 0.993434 \tabularnewline
58 & 211 & 207.011 & 224.583 & 0.921757 & 1.01927 \tabularnewline
59 & 180 & 179.831 & 224.458 & 0.801178 & 1.00094 \tabularnewline
60 & 201 & 202.722 & 225.542 & 0.898824 & 0.991504 \tabularnewline
61 & 204 & 207.533 & 228 & 0.91023 & 0.982978 \tabularnewline
62 & 188 & 203.639 & 230.458 & 0.883625 & 0.923203 \tabularnewline
63 & 235 & 233.961 & 232.25 & 1.00737 & 1.00444 \tabularnewline
64 & 227 & 228.281 & 233.917 & 0.975906 & 0.99439 \tabularnewline
65 & 234 & 231.237 & 235.625 & 0.981378 & 1.01195 \tabularnewline
66 & 264 & 264.562 & 237.75 & 1.11278 & 0.997874 \tabularnewline
67 & 302 & 294.987 & 240.5 & 1.22656 & 1.02378 \tabularnewline
68 & 293 & 297.607 & 243.958 & 1.21991 & 0.984518 \tabularnewline
69 & 259 & 262.118 & 247.167 & 1.06049 & 0.988104 \tabularnewline
70 & 229 & 230.67 & 250.25 & 0.921757 & 0.992761 \tabularnewline
71 & 203 & 203.099 & 253.5 & 0.801178 & 0.999514 \tabularnewline
72 & 229 & 231.11 & 257.125 & 0.898824 & 0.990869 \tabularnewline
73 & 242 & 238.329 & 261.833 & 0.91023 & 1.0154 \tabularnewline
74 & 233 & 235.633 & 266.667 & 0.883625 & 0.988824 \tabularnewline
75 & 267 & 273.122 & 271.125 & 1.00737 & 0.977584 \tabularnewline
76 & 269 & 268.577 & 275.208 & 0.975906 & 1.00157 \tabularnewline
77 & 270 & 273.314 & 278.5 & 0.981378 & 0.987876 \tabularnewline
78 & 315 & 313.756 & 281.958 & 1.11278 & 1.00396 \tabularnewline
79 & 364 & 350.488 & 285.75 & 1.22656 & 1.03855 \tabularnewline
80 & 347 & 352.961 & 289.333 & 1.21991 & 0.983112 \tabularnewline
81 & 312 & 310.989 & 293.25 & 1.06049 & 1.00325 \tabularnewline
82 & 274 & 273.916 & 297.167 & 0.921757 & 1.00031 \tabularnewline
83 & 237 & 241.155 & 301 & 0.801178 & 0.982772 \tabularnewline
84 & 278 & 274.553 & 305.458 & 0.898824 & 1.01255 \tabularnewline
85 & 284 & 282.133 & 309.958 & 0.91023 & 1.00662 \tabularnewline
86 & 277 & 277.827 & 314.417 & 0.883625 & 0.997025 \tabularnewline
87 & 317 & 320.972 & 318.625 & 1.00737 & 0.987625 \tabularnewline
88 & 313 & 313.998 & 321.75 & 0.975906 & 0.996822 \tabularnewline
89 & 318 & 318.457 & 324.5 & 0.981378 & 0.998564 \tabularnewline
90 & 374 & 363.97 & 327.083 & 1.11278 & 1.02756 \tabularnewline
91 & 413 & 404.201 & 329.542 & 1.22656 & 1.02177 \tabularnewline
92 & 405 & 404.807 & 331.833 & 1.21991 & 1.00048 \tabularnewline
93 & 355 & 354.69 & 334.458 & 1.06049 & 1.00087 \tabularnewline
94 & 306 & 311.131 & 337.542 & 0.921757 & 0.983507 \tabularnewline
95 & 271 & 272.835 & 340.542 & 0.801178 & 0.993276 \tabularnewline
96 & 306 & 309.27 & 344.083 & 0.898824 & 0.989425 \tabularnewline
97 & 315 & 316.988 & 348.25 & 0.91023 & 0.993729 \tabularnewline
98 & 301 & 311.92 & 353 & 0.883625 & 0.964992 \tabularnewline
99 & 356 & 360.259 & 357.625 & 1.00737 & 0.988177 \tabularnewline
100 & 348 & 352.668 & 361.375 & 0.975906 & 0.986764 \tabularnewline
101 & 355 & 357.712 & 364.5 & 0.981378 & 0.992418 \tabularnewline
102 & 422 & 408.574 & 367.167 & 1.11278 & 1.03286 \tabularnewline
103 & 465 & 453.161 & 369.458 & 1.22656 & 1.02612 \tabularnewline
104 & 467 & 452.841 & 371.208 & 1.21991 & 1.03127 \tabularnewline
105 & 404 & 394.68 & 372.167 & 1.06049 & 1.02361 \tabularnewline
106 & 347 & 343.278 & 372.417 & 0.921757 & 1.01084 \tabularnewline
107 & 305 & 298.639 & 372.75 & 0.801178 & 1.0213 \tabularnewline
108 & 336 & 335.823 & 373.625 & 0.898824 & 1.00053 \tabularnewline
109 & 340 & 341.564 & 375.25 & 0.91023 & 0.995421 \tabularnewline
110 & 318 & 333.937 & 377.917 & 0.883625 & 0.952276 \tabularnewline
111 & 362 & 382.296 & 379.5 & 1.00737 & 0.946911 \tabularnewline
112 & 348 & 370.844 & 380 & 0.975906 & 0.938399 \tabularnewline
113 & 363 & 373.619 & 380.708 & 0.981378 & 0.971579 \tabularnewline
114 & 435 & 423.921 & 380.958 & 1.11278 & 1.02613 \tabularnewline
115 & 491 & 468.34 & 381.833 & 1.22656 & 1.04838 \tabularnewline
116 & 505 & 468.039 & 383.667 & 1.21991 & 1.07897 \tabularnewline
117 & 404 & 409.88 & 386.5 & 1.06049 & 0.985654 \tabularnewline
118 & 359 & 359.793 & 390.333 & 0.921757 & 0.997797 \tabularnewline
119 & 310 & 316.232 & 394.708 & 0.801178 & 0.980294 \tabularnewline
120 & 337 & 358.294 & 398.625 & 0.898824 & 0.940569 \tabularnewline
121 & 360 & 366.406 & 402.542 & 0.91023 & 0.982518 \tabularnewline
122 & 342 & 359.783 & 407.167 & 0.883625 & 0.950574 \tabularnewline
123 & 406 & 414.909 & 411.875 & 1.00737 & 0.978528 \tabularnewline
124 & 396 & 406.302 & 416.333 & 0.975906 & 0.974644 \tabularnewline
125 & 420 & 412.669 & 420.5 & 0.981378 & 1.01776 \tabularnewline
126 & 472 & 473.486 & 425.5 & 1.11278 & 0.996861 \tabularnewline
127 & 548 & 528.288 & 430.708 & 1.22656 & 1.03731 \tabularnewline
128 & 559 & 530.814 & 435.125 & 1.21991 & 1.0531 \tabularnewline
129 & 463 & 464.186 & 437.708 & 1.06049 & 0.997445 \tabularnewline
130 & 407 & 406.457 & 440.958 & 0.921757 & 1.00134 \tabularnewline
131 & 362 & 357.192 & 445.833 & 0.801178 & 1.01346 \tabularnewline
132 & 405 & 405.033 & 450.625 & 0.898824 & 0.999919 \tabularnewline
133 & 417 & 415.368 & 456.333 & 0.91023 & 1.00393 \tabularnewline
134 & 391 & 407.683 & 461.375 & 0.883625 & 0.959079 \tabularnewline
135 & 419 & 468.635 & 465.208 & 1.00737 & 0.894086 \tabularnewline
136 & 461 & 458.025 & 469.333 & 0.975906 & 1.00649 \tabularnewline
137 & 472 & 463.946 & 472.75 & 0.981378 & 1.01736 \tabularnewline
138 & 535 & 528.615 & 475.042 & 1.11278 & 1.01208 \tabularnewline
139 & 622 & NA & NA & 1.22656 & NA \tabularnewline
140 & 606 & NA & NA & 1.21991 & NA \tabularnewline
141 & 508 & NA & NA & 1.06049 & NA \tabularnewline
142 & 461 & NA & NA & 0.921757 & NA \tabularnewline
143 & 390 & NA & NA & 0.801178 & NA \tabularnewline
144 & 432 & NA & NA & 0.898824 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225707&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]112[/C][C]NA[/C][C]NA[/C][C]0.91023[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]118[/C][C]NA[/C][C]NA[/C][C]0.883625[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]132[/C][C]NA[/C][C]NA[/C][C]1.00737[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]129[/C][C]NA[/C][C]NA[/C][C]0.975906[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]121[/C][C]NA[/C][C]NA[/C][C]0.981378[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]135[/C][C]NA[/C][C]NA[/C][C]1.11278[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]155.517[/C][C]126.792[/C][C]1.22656[/C][C]0.951664[/C][/ROW]
[ROW][C]8[/C][C]148[/C][C]155.234[/C][C]127.25[/C][C]1.21991[/C][C]0.953401[/C][/ROW]
[ROW][C]9[/C][C]136[/C][C]135.699[/C][C]127.958[/C][C]1.06049[/C][C]1.00222[/C][/ROW]
[ROW][C]10[/C][C]119[/C][C]118.523[/C][C]128.583[/C][C]0.921757[/C][C]1.00403[/C][/ROW]
[ROW][C]11[/C][C]104[/C][C]103.352[/C][C]129[/C][C]0.801178[/C][C]1.00627[/C][/ROW]
[ROW][C]12[/C][C]118[/C][C]116.622[/C][C]129.75[/C][C]0.898824[/C][C]1.01181[/C][/ROW]
[ROW][C]13[/C][C]115[/C][C]119.468[/C][C]131.25[/C][C]0.91023[/C][C]0.962603[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]117.596[/C][C]133.083[/C][C]0.883625[/C][C]1.07147[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]135.911[/C][C]134.917[/C][C]1.00737[/C][C]1.03745[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]133.13[/C][C]136.417[/C][C]0.975906[/C][C]1.01405[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]134.858[/C][C]137.417[/C][C]0.981378[/C][C]0.926903[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]154.398[/C][C]138.75[/C][C]1.11278[/C][C]0.965041[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]172.842[/C][C]140.917[/C][C]1.22656[/C][C]0.983557[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]174.651[/C][C]143.167[/C][C]1.21991[/C][C]0.973372[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]154.523[/C][C]145.708[/C][C]1.06049[/C][C]1.0225[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]136.804[/C][C]148.417[/C][C]0.921757[/C][C]0.972193[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]121.412[/C][C]151.542[/C][C]0.801178[/C][C]0.938953[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]139.056[/C][C]154.708[/C][C]0.898824[/C][C]1.00679[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]143.02[/C][C]157.125[/C][C]0.91023[/C][C]1.01384[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]140.975[/C][C]159.542[/C][C]0.883625[/C][C]1.06402[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]163.025[/C][C]161.833[/C][C]1.00737[/C][C]1.09185[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]160.171[/C][C]164.125[/C][C]0.975906[/C][C]1.01767[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]163.563[/C][C]166.667[/C][C]0.981378[/C][C]1.05158[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]188.152[/C][C]169.083[/C][C]1.11278[/C][C]0.946044[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]210.048[/C][C]171.25[/C][C]1.22656[/C][C]0.947404[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]211.756[/C][C]173.583[/C][C]1.21991[/C][C]0.93976[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]186.072[/C][C]175.458[/C][C]1.06049[/C][C]0.988864[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]162.997[/C][C]176.833[/C][C]0.921757[/C][C]0.993881[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]142.643[/C][C]178.042[/C][C]0.801178[/C][C]1.02353[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]161.938[/C][C]180.167[/C][C]0.898824[/C][C]1.02508[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]166.686[/C][C]183.125[/C][C]0.91023[/C][C]1.02588[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]164.538[/C][C]186.208[/C][C]0.883625[/C][C]1.09397[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]190.434[/C][C]189.042[/C][C]1.00737[/C][C]1.01347[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]186.683[/C][C]191.292[/C][C]0.975906[/C][C]0.96956[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]189.978[/C][C]193.583[/C][C]0.981378[/C][C]0.963267[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]217.919[/C][C]195.833[/C][C]1.11278[/C][C]1.00037[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]242.909[/C][C]198.042[/C][C]1.22656[/C][C]0.946856[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]243.677[/C][C]199.75[/C][C]1.21991[/C][C]0.993117[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]214.44[/C][C]202.208[/C][C]1.06049[/C][C]0.97463[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]190.112[/C][C]206.25[/C][C]0.921757[/C][C]1.00467[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]168.581[/C][C]210.417[/C][C]0.801178[/C][C]1.02028[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]191.787[/C][C]213.375[/C][C]0.898824[/C][C]1.01154[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]196.458[/C][C]215.833[/C][C]0.91023[/C][C]0.997668[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]193.072[/C][C]218.5[/C][C]0.883625[/C][C]1.01516[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]222.544[/C][C]220.917[/C][C]1.00737[/C][C]1.06046[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]217.546[/C][C]222.917[/C][C]0.975906[/C][C]1.08023[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]219.91[/C][C]224.083[/C][C]0.981378[/C][C]1.04133[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]250.05[/C][C]224.708[/C][C]1.11278[/C][C]0.971806[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]276.384[/C][C]225.333[/C][C]1.22656[/C][C]0.955193[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]274.887[/C][C]225.333[/C][C]1.21991[/C][C]0.989499[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]238.566[/C][C]224.958[/C][C]1.06049[/C][C]0.993434[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]207.011[/C][C]224.583[/C][C]0.921757[/C][C]1.01927[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]179.831[/C][C]224.458[/C][C]0.801178[/C][C]1.00094[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]202.722[/C][C]225.542[/C][C]0.898824[/C][C]0.991504[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]207.533[/C][C]228[/C][C]0.91023[/C][C]0.982978[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]203.639[/C][C]230.458[/C][C]0.883625[/C][C]0.923203[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]233.961[/C][C]232.25[/C][C]1.00737[/C][C]1.00444[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]228.281[/C][C]233.917[/C][C]0.975906[/C][C]0.99439[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]231.237[/C][C]235.625[/C][C]0.981378[/C][C]1.01195[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]264.562[/C][C]237.75[/C][C]1.11278[/C][C]0.997874[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]294.987[/C][C]240.5[/C][C]1.22656[/C][C]1.02378[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]297.607[/C][C]243.958[/C][C]1.21991[/C][C]0.984518[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]262.118[/C][C]247.167[/C][C]1.06049[/C][C]0.988104[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]230.67[/C][C]250.25[/C][C]0.921757[/C][C]0.992761[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]203.099[/C][C]253.5[/C][C]0.801178[/C][C]0.999514[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]231.11[/C][C]257.125[/C][C]0.898824[/C][C]0.990869[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]238.329[/C][C]261.833[/C][C]0.91023[/C][C]1.0154[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]235.633[/C][C]266.667[/C][C]0.883625[/C][C]0.988824[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]273.122[/C][C]271.125[/C][C]1.00737[/C][C]0.977584[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]268.577[/C][C]275.208[/C][C]0.975906[/C][C]1.00157[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]273.314[/C][C]278.5[/C][C]0.981378[/C][C]0.987876[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]313.756[/C][C]281.958[/C][C]1.11278[/C][C]1.00396[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]350.488[/C][C]285.75[/C][C]1.22656[/C][C]1.03855[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]352.961[/C][C]289.333[/C][C]1.21991[/C][C]0.983112[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]310.989[/C][C]293.25[/C][C]1.06049[/C][C]1.00325[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]273.916[/C][C]297.167[/C][C]0.921757[/C][C]1.00031[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]241.155[/C][C]301[/C][C]0.801178[/C][C]0.982772[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]274.553[/C][C]305.458[/C][C]0.898824[/C][C]1.01255[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]282.133[/C][C]309.958[/C][C]0.91023[/C][C]1.00662[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]277.827[/C][C]314.417[/C][C]0.883625[/C][C]0.997025[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]320.972[/C][C]318.625[/C][C]1.00737[/C][C]0.987625[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]313.998[/C][C]321.75[/C][C]0.975906[/C][C]0.996822[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.457[/C][C]324.5[/C][C]0.981378[/C][C]0.998564[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]363.97[/C][C]327.083[/C][C]1.11278[/C][C]1.02756[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]404.201[/C][C]329.542[/C][C]1.22656[/C][C]1.02177[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]404.807[/C][C]331.833[/C][C]1.21991[/C][C]1.00048[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]354.69[/C][C]334.458[/C][C]1.06049[/C][C]1.00087[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]311.131[/C][C]337.542[/C][C]0.921757[/C][C]0.983507[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]272.835[/C][C]340.542[/C][C]0.801178[/C][C]0.993276[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.27[/C][C]344.083[/C][C]0.898824[/C][C]0.989425[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]316.988[/C][C]348.25[/C][C]0.91023[/C][C]0.993729[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]311.92[/C][C]353[/C][C]0.883625[/C][C]0.964992[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]360.259[/C][C]357.625[/C][C]1.00737[/C][C]0.988177[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]352.668[/C][C]361.375[/C][C]0.975906[/C][C]0.986764[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]357.712[/C][C]364.5[/C][C]0.981378[/C][C]0.992418[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]408.574[/C][C]367.167[/C][C]1.11278[/C][C]1.03286[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]453.161[/C][C]369.458[/C][C]1.22656[/C][C]1.02612[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]452.841[/C][C]371.208[/C][C]1.21991[/C][C]1.03127[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]394.68[/C][C]372.167[/C][C]1.06049[/C][C]1.02361[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]343.278[/C][C]372.417[/C][C]0.921757[/C][C]1.01084[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]298.639[/C][C]372.75[/C][C]0.801178[/C][C]1.0213[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]335.823[/C][C]373.625[/C][C]0.898824[/C][C]1.00053[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]341.564[/C][C]375.25[/C][C]0.91023[/C][C]0.995421[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]333.937[/C][C]377.917[/C][C]0.883625[/C][C]0.952276[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]382.296[/C][C]379.5[/C][C]1.00737[/C][C]0.946911[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]370.844[/C][C]380[/C][C]0.975906[/C][C]0.938399[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]373.619[/C][C]380.708[/C][C]0.981378[/C][C]0.971579[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]423.921[/C][C]380.958[/C][C]1.11278[/C][C]1.02613[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]468.34[/C][C]381.833[/C][C]1.22656[/C][C]1.04838[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]468.039[/C][C]383.667[/C][C]1.21991[/C][C]1.07897[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]409.88[/C][C]386.5[/C][C]1.06049[/C][C]0.985654[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]359.793[/C][C]390.333[/C][C]0.921757[/C][C]0.997797[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]316.232[/C][C]394.708[/C][C]0.801178[/C][C]0.980294[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]358.294[/C][C]398.625[/C][C]0.898824[/C][C]0.940569[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]366.406[/C][C]402.542[/C][C]0.91023[/C][C]0.982518[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]359.783[/C][C]407.167[/C][C]0.883625[/C][C]0.950574[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]414.909[/C][C]411.875[/C][C]1.00737[/C][C]0.978528[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]406.302[/C][C]416.333[/C][C]0.975906[/C][C]0.974644[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]412.669[/C][C]420.5[/C][C]0.981378[/C][C]1.01776[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]473.486[/C][C]425.5[/C][C]1.11278[/C][C]0.996861[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]528.288[/C][C]430.708[/C][C]1.22656[/C][C]1.03731[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]530.814[/C][C]435.125[/C][C]1.21991[/C][C]1.0531[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]464.186[/C][C]437.708[/C][C]1.06049[/C][C]0.997445[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]406.457[/C][C]440.958[/C][C]0.921757[/C][C]1.00134[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]357.192[/C][C]445.833[/C][C]0.801178[/C][C]1.01346[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]405.033[/C][C]450.625[/C][C]0.898824[/C][C]0.999919[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]415.368[/C][C]456.333[/C][C]0.91023[/C][C]1.00393[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]407.683[/C][C]461.375[/C][C]0.883625[/C][C]0.959079[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]468.635[/C][C]465.208[/C][C]1.00737[/C][C]0.894086[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]458.025[/C][C]469.333[/C][C]0.975906[/C][C]1.00649[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]463.946[/C][C]472.75[/C][C]0.981378[/C][C]1.01736[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]528.615[/C][C]475.042[/C][C]1.11278[/C][C]1.01208[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]NA[/C][C]NA[/C][C]1.22656[/C][C]NA[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]NA[/C][C]NA[/C][C]1.21991[/C][C]NA[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]NA[/C][C]NA[/C][C]1.06049[/C][C]NA[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]NA[/C][C]NA[/C][C]0.921757[/C][C]NA[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]NA[/C][C]NA[/C][C]0.801178[/C][C]NA[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]NA[/C][C]NA[/C][C]0.898824[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225707&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225707&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
1112NANA0.91023NA
2118NANA0.883625NA
3132NANA1.00737NA
4129NANA0.975906NA
5121NANA0.981378NA
6135NANA1.11278NA
7148155.517126.7921.226560.951664
8148155.234127.251.219910.953401
9136135.699127.9581.060491.00222
10119118.523128.5830.9217571.00403
11104103.3521290.8011781.00627
12118116.622129.750.8988241.01181
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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')