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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 13 Aug 2014 11:04:03 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Aug/13/t1407924270wbu8r09b65h9rdk.htm/, Retrieved Wed, 15 May 2024 19:09:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235500, Retrieved Wed, 15 May 2024 19:09:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [] [2014-08-13 09:41:06] [ba0170e6f15797e8c541ec0953bc1848]
- RMP     [Classical Decomposition] [] [2014-08-13 10:04:03] [b3e3d38149b35cb70244b37a39776b3a] [Current]
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Dataseries X:
106
105
104
102
122
121
106
96
97
97
98
100
106
104
107
112
140
140
134
128
133
139
140
143
152
146
146
155
180
182
177
165
174
174
175
180
184
186
186
192
215
221
222
207
215
212
206
219
222
217
218
225
251
264
264
258
267
258
253
272
275
268
286
293
314
328
326
325
333
332
320
338
344
338
363
375
403
414
411
405
410
416
396
412
422
418
444
453
491
498
489
494
497
500
481
499
509
499
528
537
576
582
584
594
594
598
580
589
595
584
616
622
662
669
679
688
689
690
672
690




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235500&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235500&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235500&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1106NANA-6.32022NA
2105NANA-17.1582NA
3104NANA-7.75077NA
4102NANA-5.4591NA
5122NANA18.9159NA
6121NANA20.8603NA
7106116.495104.511.9946-10.4946
896107.416104.4582.95756-11.4159
997108.245104.5423.70293-11.2446
1097104.675105.083-0.408179-7.67515
119892.3789106.25-13.87115.62114
12100100.328107.792-7.46373-0.327932
13106103.43109.75-6.320222.57022
1410495.0918112.25-17.15828.90818
15107107.333115.083-7.75077-0.332562
16112112.874118.333-5.4591-0.874228
17140140.749121.83318.9159-0.749228
18140146.235125.37520.8603-6.23534
19134141.078129.08311.9946-7.07793
20128135.708132.752.95756-7.70756
21133139.828136.1253.70293-6.82793
22139139.133139.542-0.408179-0.133488
23140129.129143-13.871110.8711
24143138.953146.417-7.463734.04707
25152143.638149.958-6.320228.36188
26146136.133153.292-17.15829.86651
27146148.791156.542-7.75077-2.7909
28155154.249159.708-5.45910.750772
29180181.541162.62518.9159-1.5409
30182186.485165.62520.8603-4.48534
31177180.495168.511.9946-3.4946
32165174.458171.52.95756-9.45756
33174178.536174.8333.70293-4.53627
34174177.633178.042-0.408179-3.63349
35175167.171181.042-13.87117.82948
36180176.661184.125-7.463733.33873
37184181.305187.625-6.320222.69522
38186174.092191.25-17.158211.9082
39186186.958194.708-7.75077-0.957562
40192192.541198-5.4591-0.540895
41215219.791200.87518.9159-4.7909
42221224.652203.79220.8603-3.65201
43222218.99520711.99463.0054
44207212.833209.8752.95756-5.83256
45215216.203212.53.70293-1.20293
46212214.8215.208-0.408179-2.80015
47206204.212218.083-13.87111.78781
48219213.911221.375-7.463735.08873
49222218.596224.917-6.320223.40355
50217211.633228.792-17.15825.36651
51218225.333233.083-7.75077-7.33256
52225231.708237.167-5.4591-6.70756
53251259.958241.04218.9159-8.95756
54264266.069245.20820.8603-2.06867
55264261.62249.62511.99462.3804
56258256.916253.9582.957561.0841
57267262.62258.9173.702934.3804
58258264.175264.583-0.408179-6.17515
59253256.171270.042-13.8711-3.17052
60272267.87275.333-7.463734.1304
61275274.263280.583-6.320220.736883
62268268.8285.958-17.1582-0.800154
63286283.749291.5-7.750772.25077
64293291.874297.333-5.45911.12577
65314322.124303.20818.9159-8.12423
66328329.61308.7520.8603-1.61034
67326326.37314.37511.9946-0.369599
68325323.124320.1672.957561.87577
69333329.995326.2923.702933.0054
70332332.508332.917-0.408179-0.508488
71320326.171340.042-13.8711-6.17052
72338339.87347.333-7.46373-1.8696
73344348.138354.458-6.32022-4.13812
74338344.175361.333-17.1582-6.17515
75363360.124367.875-7.750772.87577
76375369.124374.583-5.45915.87577
77403400.166381.2518.91592.8341
78414408.36387.520.86035.63966
79411405.828393.83311.99465.17207
80405403.374400.4172.957561.62577
81410410.828407.1253.70293-0.827932
82416413.342413.75-0.4081792.65818
83396406.796420.667-13.8711-10.7955
84412420.37427.833-7.46373-8.3696
85422428.263434.583-6.32022-6.26312
86418424.383441.542-17.1582-6.38349
87444441.124448.875-7.750772.87577
88453450.541456-5.45912.4591
89491481.958463.04218.91599.04244
90498491.069470.20820.86036.93133
91489489.453477.45811.9946-0.452932
92494487.416484.4582.957566.5841
93497495.036491.3333.702931.96373
94500497.925498.333-0.4081792.07485
95481491.504505.375-13.8711-10.5039
96499504.953512.417-7.46373-5.95293
97509513.555519.875-6.32022-4.55478
98499510.842528-17.1582-11.8418
99528528.458536.208-7.75077-0.457562
100537538.874544.333-5.4591-1.87423
101576571.458552.54218.91594.54244
102582581.277560.41720.86030.722994
103584579.745567.7511.99464.2554
104594577.833574.8752.9575616.1674
105594585.786582.0833.702938.21373
106598588.883589.292-0.4081799.11651
107580582.546596.417-13.8711-2.54552
108589596.161603.625-7.46373-7.16127
109595604.888611.208-6.32022-9.88812
110584601.925619.083-17.1582-17.9252
111616619.208626.958-7.75077-3.20756
112622629.291634.75-5.4591-7.2909
113662661.333642.41718.91590.667438
114669671.319650.45820.8603-2.31867
115679NANA11.9946NA
116688NANA2.95756NA
117689NANA3.70293NA
118690NANA-0.408179NA
119672NANA-13.8711NA
120690NANA-7.46373NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 106 & NA & NA & -6.32022 & NA \tabularnewline
2 & 105 & NA & NA & -17.1582 & NA \tabularnewline
3 & 104 & NA & NA & -7.75077 & NA \tabularnewline
4 & 102 & NA & NA & -5.4591 & NA \tabularnewline
5 & 122 & NA & NA & 18.9159 & NA \tabularnewline
6 & 121 & NA & NA & 20.8603 & NA \tabularnewline
7 & 106 & 116.495 & 104.5 & 11.9946 & -10.4946 \tabularnewline
8 & 96 & 107.416 & 104.458 & 2.95756 & -11.4159 \tabularnewline
9 & 97 & 108.245 & 104.542 & 3.70293 & -11.2446 \tabularnewline
10 & 97 & 104.675 & 105.083 & -0.408179 & -7.67515 \tabularnewline
11 & 98 & 92.3789 & 106.25 & -13.8711 & 5.62114 \tabularnewline
12 & 100 & 100.328 & 107.792 & -7.46373 & -0.327932 \tabularnewline
13 & 106 & 103.43 & 109.75 & -6.32022 & 2.57022 \tabularnewline
14 & 104 & 95.0918 & 112.25 & -17.1582 & 8.90818 \tabularnewline
15 & 107 & 107.333 & 115.083 & -7.75077 & -0.332562 \tabularnewline
16 & 112 & 112.874 & 118.333 & -5.4591 & -0.874228 \tabularnewline
17 & 140 & 140.749 & 121.833 & 18.9159 & -0.749228 \tabularnewline
18 & 140 & 146.235 & 125.375 & 20.8603 & -6.23534 \tabularnewline
19 & 134 & 141.078 & 129.083 & 11.9946 & -7.07793 \tabularnewline
20 & 128 & 135.708 & 132.75 & 2.95756 & -7.70756 \tabularnewline
21 & 133 & 139.828 & 136.125 & 3.70293 & -6.82793 \tabularnewline
22 & 139 & 139.133 & 139.542 & -0.408179 & -0.133488 \tabularnewline
23 & 140 & 129.129 & 143 & -13.8711 & 10.8711 \tabularnewline
24 & 143 & 138.953 & 146.417 & -7.46373 & 4.04707 \tabularnewline
25 & 152 & 143.638 & 149.958 & -6.32022 & 8.36188 \tabularnewline
26 & 146 & 136.133 & 153.292 & -17.1582 & 9.86651 \tabularnewline
27 & 146 & 148.791 & 156.542 & -7.75077 & -2.7909 \tabularnewline
28 & 155 & 154.249 & 159.708 & -5.4591 & 0.750772 \tabularnewline
29 & 180 & 181.541 & 162.625 & 18.9159 & -1.5409 \tabularnewline
30 & 182 & 186.485 & 165.625 & 20.8603 & -4.48534 \tabularnewline
31 & 177 & 180.495 & 168.5 & 11.9946 & -3.4946 \tabularnewline
32 & 165 & 174.458 & 171.5 & 2.95756 & -9.45756 \tabularnewline
33 & 174 & 178.536 & 174.833 & 3.70293 & -4.53627 \tabularnewline
34 & 174 & 177.633 & 178.042 & -0.408179 & -3.63349 \tabularnewline
35 & 175 & 167.171 & 181.042 & -13.8711 & 7.82948 \tabularnewline
36 & 180 & 176.661 & 184.125 & -7.46373 & 3.33873 \tabularnewline
37 & 184 & 181.305 & 187.625 & -6.32022 & 2.69522 \tabularnewline
38 & 186 & 174.092 & 191.25 & -17.1582 & 11.9082 \tabularnewline
39 & 186 & 186.958 & 194.708 & -7.75077 & -0.957562 \tabularnewline
40 & 192 & 192.541 & 198 & -5.4591 & -0.540895 \tabularnewline
41 & 215 & 219.791 & 200.875 & 18.9159 & -4.7909 \tabularnewline
42 & 221 & 224.652 & 203.792 & 20.8603 & -3.65201 \tabularnewline
43 & 222 & 218.995 & 207 & 11.9946 & 3.0054 \tabularnewline
44 & 207 & 212.833 & 209.875 & 2.95756 & -5.83256 \tabularnewline
45 & 215 & 216.203 & 212.5 & 3.70293 & -1.20293 \tabularnewline
46 & 212 & 214.8 & 215.208 & -0.408179 & -2.80015 \tabularnewline
47 & 206 & 204.212 & 218.083 & -13.8711 & 1.78781 \tabularnewline
48 & 219 & 213.911 & 221.375 & -7.46373 & 5.08873 \tabularnewline
49 & 222 & 218.596 & 224.917 & -6.32022 & 3.40355 \tabularnewline
50 & 217 & 211.633 & 228.792 & -17.1582 & 5.36651 \tabularnewline
51 & 218 & 225.333 & 233.083 & -7.75077 & -7.33256 \tabularnewline
52 & 225 & 231.708 & 237.167 & -5.4591 & -6.70756 \tabularnewline
53 & 251 & 259.958 & 241.042 & 18.9159 & -8.95756 \tabularnewline
54 & 264 & 266.069 & 245.208 & 20.8603 & -2.06867 \tabularnewline
55 & 264 & 261.62 & 249.625 & 11.9946 & 2.3804 \tabularnewline
56 & 258 & 256.916 & 253.958 & 2.95756 & 1.0841 \tabularnewline
57 & 267 & 262.62 & 258.917 & 3.70293 & 4.3804 \tabularnewline
58 & 258 & 264.175 & 264.583 & -0.408179 & -6.17515 \tabularnewline
59 & 253 & 256.171 & 270.042 & -13.8711 & -3.17052 \tabularnewline
60 & 272 & 267.87 & 275.333 & -7.46373 & 4.1304 \tabularnewline
61 & 275 & 274.263 & 280.583 & -6.32022 & 0.736883 \tabularnewline
62 & 268 & 268.8 & 285.958 & -17.1582 & -0.800154 \tabularnewline
63 & 286 & 283.749 & 291.5 & -7.75077 & 2.25077 \tabularnewline
64 & 293 & 291.874 & 297.333 & -5.4591 & 1.12577 \tabularnewline
65 & 314 & 322.124 & 303.208 & 18.9159 & -8.12423 \tabularnewline
66 & 328 & 329.61 & 308.75 & 20.8603 & -1.61034 \tabularnewline
67 & 326 & 326.37 & 314.375 & 11.9946 & -0.369599 \tabularnewline
68 & 325 & 323.124 & 320.167 & 2.95756 & 1.87577 \tabularnewline
69 & 333 & 329.995 & 326.292 & 3.70293 & 3.0054 \tabularnewline
70 & 332 & 332.508 & 332.917 & -0.408179 & -0.508488 \tabularnewline
71 & 320 & 326.171 & 340.042 & -13.8711 & -6.17052 \tabularnewline
72 & 338 & 339.87 & 347.333 & -7.46373 & -1.8696 \tabularnewline
73 & 344 & 348.138 & 354.458 & -6.32022 & -4.13812 \tabularnewline
74 & 338 & 344.175 & 361.333 & -17.1582 & -6.17515 \tabularnewline
75 & 363 & 360.124 & 367.875 & -7.75077 & 2.87577 \tabularnewline
76 & 375 & 369.124 & 374.583 & -5.4591 & 5.87577 \tabularnewline
77 & 403 & 400.166 & 381.25 & 18.9159 & 2.8341 \tabularnewline
78 & 414 & 408.36 & 387.5 & 20.8603 & 5.63966 \tabularnewline
79 & 411 & 405.828 & 393.833 & 11.9946 & 5.17207 \tabularnewline
80 & 405 & 403.374 & 400.417 & 2.95756 & 1.62577 \tabularnewline
81 & 410 & 410.828 & 407.125 & 3.70293 & -0.827932 \tabularnewline
82 & 416 & 413.342 & 413.75 & -0.408179 & 2.65818 \tabularnewline
83 & 396 & 406.796 & 420.667 & -13.8711 & -10.7955 \tabularnewline
84 & 412 & 420.37 & 427.833 & -7.46373 & -8.3696 \tabularnewline
85 & 422 & 428.263 & 434.583 & -6.32022 & -6.26312 \tabularnewline
86 & 418 & 424.383 & 441.542 & -17.1582 & -6.38349 \tabularnewline
87 & 444 & 441.124 & 448.875 & -7.75077 & 2.87577 \tabularnewline
88 & 453 & 450.541 & 456 & -5.4591 & 2.4591 \tabularnewline
89 & 491 & 481.958 & 463.042 & 18.9159 & 9.04244 \tabularnewline
90 & 498 & 491.069 & 470.208 & 20.8603 & 6.93133 \tabularnewline
91 & 489 & 489.453 & 477.458 & 11.9946 & -0.452932 \tabularnewline
92 & 494 & 487.416 & 484.458 & 2.95756 & 6.5841 \tabularnewline
93 & 497 & 495.036 & 491.333 & 3.70293 & 1.96373 \tabularnewline
94 & 500 & 497.925 & 498.333 & -0.408179 & 2.07485 \tabularnewline
95 & 481 & 491.504 & 505.375 & -13.8711 & -10.5039 \tabularnewline
96 & 499 & 504.953 & 512.417 & -7.46373 & -5.95293 \tabularnewline
97 & 509 & 513.555 & 519.875 & -6.32022 & -4.55478 \tabularnewline
98 & 499 & 510.842 & 528 & -17.1582 & -11.8418 \tabularnewline
99 & 528 & 528.458 & 536.208 & -7.75077 & -0.457562 \tabularnewline
100 & 537 & 538.874 & 544.333 & -5.4591 & -1.87423 \tabularnewline
101 & 576 & 571.458 & 552.542 & 18.9159 & 4.54244 \tabularnewline
102 & 582 & 581.277 & 560.417 & 20.8603 & 0.722994 \tabularnewline
103 & 584 & 579.745 & 567.75 & 11.9946 & 4.2554 \tabularnewline
104 & 594 & 577.833 & 574.875 & 2.95756 & 16.1674 \tabularnewline
105 & 594 & 585.786 & 582.083 & 3.70293 & 8.21373 \tabularnewline
106 & 598 & 588.883 & 589.292 & -0.408179 & 9.11651 \tabularnewline
107 & 580 & 582.546 & 596.417 & -13.8711 & -2.54552 \tabularnewline
108 & 589 & 596.161 & 603.625 & -7.46373 & -7.16127 \tabularnewline
109 & 595 & 604.888 & 611.208 & -6.32022 & -9.88812 \tabularnewline
110 & 584 & 601.925 & 619.083 & -17.1582 & -17.9252 \tabularnewline
111 & 616 & 619.208 & 626.958 & -7.75077 & -3.20756 \tabularnewline
112 & 622 & 629.291 & 634.75 & -5.4591 & -7.2909 \tabularnewline
113 & 662 & 661.333 & 642.417 & 18.9159 & 0.667438 \tabularnewline
114 & 669 & 671.319 & 650.458 & 20.8603 & -2.31867 \tabularnewline
115 & 679 & NA & NA & 11.9946 & NA \tabularnewline
116 & 688 & NA & NA & 2.95756 & NA \tabularnewline
117 & 689 & NA & NA & 3.70293 & NA \tabularnewline
118 & 690 & NA & NA & -0.408179 & NA \tabularnewline
119 & 672 & NA & NA & -13.8711 & NA \tabularnewline
120 & 690 & NA & NA & -7.46373 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235500&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]106[/C][C]NA[/C][C]NA[/C][C]-6.32022[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]105[/C][C]NA[/C][C]NA[/C][C]-17.1582[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104[/C][C]NA[/C][C]NA[/C][C]-7.75077[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102[/C][C]NA[/C][C]NA[/C][C]-5.4591[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]122[/C][C]NA[/C][C]NA[/C][C]18.9159[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]121[/C][C]NA[/C][C]NA[/C][C]20.8603[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]106[/C][C]116.495[/C][C]104.5[/C][C]11.9946[/C][C]-10.4946[/C][/ROW]
[ROW][C]8[/C][C]96[/C][C]107.416[/C][C]104.458[/C][C]2.95756[/C][C]-11.4159[/C][/ROW]
[ROW][C]9[/C][C]97[/C][C]108.245[/C][C]104.542[/C][C]3.70293[/C][C]-11.2446[/C][/ROW]
[ROW][C]10[/C][C]97[/C][C]104.675[/C][C]105.083[/C][C]-0.408179[/C][C]-7.67515[/C][/ROW]
[ROW][C]11[/C][C]98[/C][C]92.3789[/C][C]106.25[/C][C]-13.8711[/C][C]5.62114[/C][/ROW]
[ROW][C]12[/C][C]100[/C][C]100.328[/C][C]107.792[/C][C]-7.46373[/C][C]-0.327932[/C][/ROW]
[ROW][C]13[/C][C]106[/C][C]103.43[/C][C]109.75[/C][C]-6.32022[/C][C]2.57022[/C][/ROW]
[ROW][C]14[/C][C]104[/C][C]95.0918[/C][C]112.25[/C][C]-17.1582[/C][C]8.90818[/C][/ROW]
[ROW][C]15[/C][C]107[/C][C]107.333[/C][C]115.083[/C][C]-7.75077[/C][C]-0.332562[/C][/ROW]
[ROW][C]16[/C][C]112[/C][C]112.874[/C][C]118.333[/C][C]-5.4591[/C][C]-0.874228[/C][/ROW]
[ROW][C]17[/C][C]140[/C][C]140.749[/C][C]121.833[/C][C]18.9159[/C][C]-0.749228[/C][/ROW]
[ROW][C]18[/C][C]140[/C][C]146.235[/C][C]125.375[/C][C]20.8603[/C][C]-6.23534[/C][/ROW]
[ROW][C]19[/C][C]134[/C][C]141.078[/C][C]129.083[/C][C]11.9946[/C][C]-7.07793[/C][/ROW]
[ROW][C]20[/C][C]128[/C][C]135.708[/C][C]132.75[/C][C]2.95756[/C][C]-7.70756[/C][/ROW]
[ROW][C]21[/C][C]133[/C][C]139.828[/C][C]136.125[/C][C]3.70293[/C][C]-6.82793[/C][/ROW]
[ROW][C]22[/C][C]139[/C][C]139.133[/C][C]139.542[/C][C]-0.408179[/C][C]-0.133488[/C][/ROW]
[ROW][C]23[/C][C]140[/C][C]129.129[/C][C]143[/C][C]-13.8711[/C][C]10.8711[/C][/ROW]
[ROW][C]24[/C][C]143[/C][C]138.953[/C][C]146.417[/C][C]-7.46373[/C][C]4.04707[/C][/ROW]
[ROW][C]25[/C][C]152[/C][C]143.638[/C][C]149.958[/C][C]-6.32022[/C][C]8.36188[/C][/ROW]
[ROW][C]26[/C][C]146[/C][C]136.133[/C][C]153.292[/C][C]-17.1582[/C][C]9.86651[/C][/ROW]
[ROW][C]27[/C][C]146[/C][C]148.791[/C][C]156.542[/C][C]-7.75077[/C][C]-2.7909[/C][/ROW]
[ROW][C]28[/C][C]155[/C][C]154.249[/C][C]159.708[/C][C]-5.4591[/C][C]0.750772[/C][/ROW]
[ROW][C]29[/C][C]180[/C][C]181.541[/C][C]162.625[/C][C]18.9159[/C][C]-1.5409[/C][/ROW]
[ROW][C]30[/C][C]182[/C][C]186.485[/C][C]165.625[/C][C]20.8603[/C][C]-4.48534[/C][/ROW]
[ROW][C]31[/C][C]177[/C][C]180.495[/C][C]168.5[/C][C]11.9946[/C][C]-3.4946[/C][/ROW]
[ROW][C]32[/C][C]165[/C][C]174.458[/C][C]171.5[/C][C]2.95756[/C][C]-9.45756[/C][/ROW]
[ROW][C]33[/C][C]174[/C][C]178.536[/C][C]174.833[/C][C]3.70293[/C][C]-4.53627[/C][/ROW]
[ROW][C]34[/C][C]174[/C][C]177.633[/C][C]178.042[/C][C]-0.408179[/C][C]-3.63349[/C][/ROW]
[ROW][C]35[/C][C]175[/C][C]167.171[/C][C]181.042[/C][C]-13.8711[/C][C]7.82948[/C][/ROW]
[ROW][C]36[/C][C]180[/C][C]176.661[/C][C]184.125[/C][C]-7.46373[/C][C]3.33873[/C][/ROW]
[ROW][C]37[/C][C]184[/C][C]181.305[/C][C]187.625[/C][C]-6.32022[/C][C]2.69522[/C][/ROW]
[ROW][C]38[/C][C]186[/C][C]174.092[/C][C]191.25[/C][C]-17.1582[/C][C]11.9082[/C][/ROW]
[ROW][C]39[/C][C]186[/C][C]186.958[/C][C]194.708[/C][C]-7.75077[/C][C]-0.957562[/C][/ROW]
[ROW][C]40[/C][C]192[/C][C]192.541[/C][C]198[/C][C]-5.4591[/C][C]-0.540895[/C][/ROW]
[ROW][C]41[/C][C]215[/C][C]219.791[/C][C]200.875[/C][C]18.9159[/C][C]-4.7909[/C][/ROW]
[ROW][C]42[/C][C]221[/C][C]224.652[/C][C]203.792[/C][C]20.8603[/C][C]-3.65201[/C][/ROW]
[ROW][C]43[/C][C]222[/C][C]218.995[/C][C]207[/C][C]11.9946[/C][C]3.0054[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]212.833[/C][C]209.875[/C][C]2.95756[/C][C]-5.83256[/C][/ROW]
[ROW][C]45[/C][C]215[/C][C]216.203[/C][C]212.5[/C][C]3.70293[/C][C]-1.20293[/C][/ROW]
[ROW][C]46[/C][C]212[/C][C]214.8[/C][C]215.208[/C][C]-0.408179[/C][C]-2.80015[/C][/ROW]
[ROW][C]47[/C][C]206[/C][C]204.212[/C][C]218.083[/C][C]-13.8711[/C][C]1.78781[/C][/ROW]
[ROW][C]48[/C][C]219[/C][C]213.911[/C][C]221.375[/C][C]-7.46373[/C][C]5.08873[/C][/ROW]
[ROW][C]49[/C][C]222[/C][C]218.596[/C][C]224.917[/C][C]-6.32022[/C][C]3.40355[/C][/ROW]
[ROW][C]50[/C][C]217[/C][C]211.633[/C][C]228.792[/C][C]-17.1582[/C][C]5.36651[/C][/ROW]
[ROW][C]51[/C][C]218[/C][C]225.333[/C][C]233.083[/C][C]-7.75077[/C][C]-7.33256[/C][/ROW]
[ROW][C]52[/C][C]225[/C][C]231.708[/C][C]237.167[/C][C]-5.4591[/C][C]-6.70756[/C][/ROW]
[ROW][C]53[/C][C]251[/C][C]259.958[/C][C]241.042[/C][C]18.9159[/C][C]-8.95756[/C][/ROW]
[ROW][C]54[/C][C]264[/C][C]266.069[/C][C]245.208[/C][C]20.8603[/C][C]-2.06867[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.62[/C][C]249.625[/C][C]11.9946[/C][C]2.3804[/C][/ROW]
[ROW][C]56[/C][C]258[/C][C]256.916[/C][C]253.958[/C][C]2.95756[/C][C]1.0841[/C][/ROW]
[ROW][C]57[/C][C]267[/C][C]262.62[/C][C]258.917[/C][C]3.70293[/C][C]4.3804[/C][/ROW]
[ROW][C]58[/C][C]258[/C][C]264.175[/C][C]264.583[/C][C]-0.408179[/C][C]-6.17515[/C][/ROW]
[ROW][C]59[/C][C]253[/C][C]256.171[/C][C]270.042[/C][C]-13.8711[/C][C]-3.17052[/C][/ROW]
[ROW][C]60[/C][C]272[/C][C]267.87[/C][C]275.333[/C][C]-7.46373[/C][C]4.1304[/C][/ROW]
[ROW][C]61[/C][C]275[/C][C]274.263[/C][C]280.583[/C][C]-6.32022[/C][C]0.736883[/C][/ROW]
[ROW][C]62[/C][C]268[/C][C]268.8[/C][C]285.958[/C][C]-17.1582[/C][C]-0.800154[/C][/ROW]
[ROW][C]63[/C][C]286[/C][C]283.749[/C][C]291.5[/C][C]-7.75077[/C][C]2.25077[/C][/ROW]
[ROW][C]64[/C][C]293[/C][C]291.874[/C][C]297.333[/C][C]-5.4591[/C][C]1.12577[/C][/ROW]
[ROW][C]65[/C][C]314[/C][C]322.124[/C][C]303.208[/C][C]18.9159[/C][C]-8.12423[/C][/ROW]
[ROW][C]66[/C][C]328[/C][C]329.61[/C][C]308.75[/C][C]20.8603[/C][C]-1.61034[/C][/ROW]
[ROW][C]67[/C][C]326[/C][C]326.37[/C][C]314.375[/C][C]11.9946[/C][C]-0.369599[/C][/ROW]
[ROW][C]68[/C][C]325[/C][C]323.124[/C][C]320.167[/C][C]2.95756[/C][C]1.87577[/C][/ROW]
[ROW][C]69[/C][C]333[/C][C]329.995[/C][C]326.292[/C][C]3.70293[/C][C]3.0054[/C][/ROW]
[ROW][C]70[/C][C]332[/C][C]332.508[/C][C]332.917[/C][C]-0.408179[/C][C]-0.508488[/C][/ROW]
[ROW][C]71[/C][C]320[/C][C]326.171[/C][C]340.042[/C][C]-13.8711[/C][C]-6.17052[/C][/ROW]
[ROW][C]72[/C][C]338[/C][C]339.87[/C][C]347.333[/C][C]-7.46373[/C][C]-1.8696[/C][/ROW]
[ROW][C]73[/C][C]344[/C][C]348.138[/C][C]354.458[/C][C]-6.32022[/C][C]-4.13812[/C][/ROW]
[ROW][C]74[/C][C]338[/C][C]344.175[/C][C]361.333[/C][C]-17.1582[/C][C]-6.17515[/C][/ROW]
[ROW][C]75[/C][C]363[/C][C]360.124[/C][C]367.875[/C][C]-7.75077[/C][C]2.87577[/C][/ROW]
[ROW][C]76[/C][C]375[/C][C]369.124[/C][C]374.583[/C][C]-5.4591[/C][C]5.87577[/C][/ROW]
[ROW][C]77[/C][C]403[/C][C]400.166[/C][C]381.25[/C][C]18.9159[/C][C]2.8341[/C][/ROW]
[ROW][C]78[/C][C]414[/C][C]408.36[/C][C]387.5[/C][C]20.8603[/C][C]5.63966[/C][/ROW]
[ROW][C]79[/C][C]411[/C][C]405.828[/C][C]393.833[/C][C]11.9946[/C][C]5.17207[/C][/ROW]
[ROW][C]80[/C][C]405[/C][C]403.374[/C][C]400.417[/C][C]2.95756[/C][C]1.62577[/C][/ROW]
[ROW][C]81[/C][C]410[/C][C]410.828[/C][C]407.125[/C][C]3.70293[/C][C]-0.827932[/C][/ROW]
[ROW][C]82[/C][C]416[/C][C]413.342[/C][C]413.75[/C][C]-0.408179[/C][C]2.65818[/C][/ROW]
[ROW][C]83[/C][C]396[/C][C]406.796[/C][C]420.667[/C][C]-13.8711[/C][C]-10.7955[/C][/ROW]
[ROW][C]84[/C][C]412[/C][C]420.37[/C][C]427.833[/C][C]-7.46373[/C][C]-8.3696[/C][/ROW]
[ROW][C]85[/C][C]422[/C][C]428.263[/C][C]434.583[/C][C]-6.32022[/C][C]-6.26312[/C][/ROW]
[ROW][C]86[/C][C]418[/C][C]424.383[/C][C]441.542[/C][C]-17.1582[/C][C]-6.38349[/C][/ROW]
[ROW][C]87[/C][C]444[/C][C]441.124[/C][C]448.875[/C][C]-7.75077[/C][C]2.87577[/C][/ROW]
[ROW][C]88[/C][C]453[/C][C]450.541[/C][C]456[/C][C]-5.4591[/C][C]2.4591[/C][/ROW]
[ROW][C]89[/C][C]491[/C][C]481.958[/C][C]463.042[/C][C]18.9159[/C][C]9.04244[/C][/ROW]
[ROW][C]90[/C][C]498[/C][C]491.069[/C][C]470.208[/C][C]20.8603[/C][C]6.93133[/C][/ROW]
[ROW][C]91[/C][C]489[/C][C]489.453[/C][C]477.458[/C][C]11.9946[/C][C]-0.452932[/C][/ROW]
[ROW][C]92[/C][C]494[/C][C]487.416[/C][C]484.458[/C][C]2.95756[/C][C]6.5841[/C][/ROW]
[ROW][C]93[/C][C]497[/C][C]495.036[/C][C]491.333[/C][C]3.70293[/C][C]1.96373[/C][/ROW]
[ROW][C]94[/C][C]500[/C][C]497.925[/C][C]498.333[/C][C]-0.408179[/C][C]2.07485[/C][/ROW]
[ROW][C]95[/C][C]481[/C][C]491.504[/C][C]505.375[/C][C]-13.8711[/C][C]-10.5039[/C][/ROW]
[ROW][C]96[/C][C]499[/C][C]504.953[/C][C]512.417[/C][C]-7.46373[/C][C]-5.95293[/C][/ROW]
[ROW][C]97[/C][C]509[/C][C]513.555[/C][C]519.875[/C][C]-6.32022[/C][C]-4.55478[/C][/ROW]
[ROW][C]98[/C][C]499[/C][C]510.842[/C][C]528[/C][C]-17.1582[/C][C]-11.8418[/C][/ROW]
[ROW][C]99[/C][C]528[/C][C]528.458[/C][C]536.208[/C][C]-7.75077[/C][C]-0.457562[/C][/ROW]
[ROW][C]100[/C][C]537[/C][C]538.874[/C][C]544.333[/C][C]-5.4591[/C][C]-1.87423[/C][/ROW]
[ROW][C]101[/C][C]576[/C][C]571.458[/C][C]552.542[/C][C]18.9159[/C][C]4.54244[/C][/ROW]
[ROW][C]102[/C][C]582[/C][C]581.277[/C][C]560.417[/C][C]20.8603[/C][C]0.722994[/C][/ROW]
[ROW][C]103[/C][C]584[/C][C]579.745[/C][C]567.75[/C][C]11.9946[/C][C]4.2554[/C][/ROW]
[ROW][C]104[/C][C]594[/C][C]577.833[/C][C]574.875[/C][C]2.95756[/C][C]16.1674[/C][/ROW]
[ROW][C]105[/C][C]594[/C][C]585.786[/C][C]582.083[/C][C]3.70293[/C][C]8.21373[/C][/ROW]
[ROW][C]106[/C][C]598[/C][C]588.883[/C][C]589.292[/C][C]-0.408179[/C][C]9.11651[/C][/ROW]
[ROW][C]107[/C][C]580[/C][C]582.546[/C][C]596.417[/C][C]-13.8711[/C][C]-2.54552[/C][/ROW]
[ROW][C]108[/C][C]589[/C][C]596.161[/C][C]603.625[/C][C]-7.46373[/C][C]-7.16127[/C][/ROW]
[ROW][C]109[/C][C]595[/C][C]604.888[/C][C]611.208[/C][C]-6.32022[/C][C]-9.88812[/C][/ROW]
[ROW][C]110[/C][C]584[/C][C]601.925[/C][C]619.083[/C][C]-17.1582[/C][C]-17.9252[/C][/ROW]
[ROW][C]111[/C][C]616[/C][C]619.208[/C][C]626.958[/C][C]-7.75077[/C][C]-3.20756[/C][/ROW]
[ROW][C]112[/C][C]622[/C][C]629.291[/C][C]634.75[/C][C]-5.4591[/C][C]-7.2909[/C][/ROW]
[ROW][C]113[/C][C]662[/C][C]661.333[/C][C]642.417[/C][C]18.9159[/C][C]0.667438[/C][/ROW]
[ROW][C]114[/C][C]669[/C][C]671.319[/C][C]650.458[/C][C]20.8603[/C][C]-2.31867[/C][/ROW]
[ROW][C]115[/C][C]679[/C][C]NA[/C][C]NA[/C][C]11.9946[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]688[/C][C]NA[/C][C]NA[/C][C]2.95756[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]689[/C][C]NA[/C][C]NA[/C][C]3.70293[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]690[/C][C]NA[/C][C]NA[/C][C]-0.408179[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]672[/C][C]NA[/C][C]NA[/C][C]-13.8711[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]690[/C][C]NA[/C][C]NA[/C][C]-7.46373[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235500&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235500&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
1106NANA-6.32022NA
2105NANA-17.1582NA
3104NANA-7.75077NA
4102NANA-5.4591NA
5122NANA18.9159NA
6121NANA20.8603NA
7106116.495104.511.9946-10.4946
896107.416104.4582.95756-11.4159
997108.245104.5423.70293-11.2446
1097104.675105.083-0.408179-7.67515
119892.3789106.25-13.87115.62114
12100100.328107.792-7.46373-0.327932
13106103.43109.75-6.320222.57022
1410495.0918112.25-17.15828.90818
15107107.333115.083-7.75077-0.332562
16112112.874118.333-5.4591-0.874228
17140140.749121.83318.9159-0.749228
18140146.235125.37520.8603-6.23534
19134141.078129.08311.9946-7.07793
20128135.708132.752.95756-7.70756
21133139.828136.1253.70293-6.82793
22139139.133139.542-0.408179-0.133488
23140129.129143-13.871110.8711
24143138.953146.417-7.463734.04707
25152143.638149.958-6.320228.36188
26146136.133153.292-17.15829.86651
27146148.791156.542-7.75077-2.7909
28155154.249159.708-5.45910.750772
29180181.541162.62518.9159-1.5409
30182186.485165.62520.8603-4.48534
31177180.495168.511.9946-3.4946
32165174.458171.52.95756-9.45756
33174178.536174.8333.70293-4.53627
34174177.633178.042-0.408179-3.63349
35175167.171181.042-13.87117.82948
36180176.661184.125-7.463733.33873
37184181.305187.625-6.320222.69522
38186174.092191.25-17.158211.9082
39186186.958194.708-7.75077-0.957562
40192192.541198-5.4591-0.540895
41215219.791200.87518.9159-4.7909
42221224.652203.79220.8603-3.65201
43222218.99520711.99463.0054
44207212.833209.8752.95756-5.83256
45215216.203212.53.70293-1.20293
46212214.8215.208-0.408179-2.80015
47206204.212218.083-13.87111.78781
48219213.911221.375-7.463735.08873
49222218.596224.917-6.320223.40355
50217211.633228.792-17.15825.36651
51218225.333233.083-7.75077-7.33256
52225231.708237.167-5.4591-6.70756
53251259.958241.04218.9159-8.95756
54264266.069245.20820.8603-2.06867
55264261.62249.62511.99462.3804
56258256.916253.9582.957561.0841
57267262.62258.9173.702934.3804
58258264.175264.583-0.408179-6.17515
59253256.171270.042-13.8711-3.17052
60272267.87275.333-7.463734.1304
61275274.263280.583-6.320220.736883
62268268.8285.958-17.1582-0.800154
63286283.749291.5-7.750772.25077
64293291.874297.333-5.45911.12577
65314322.124303.20818.9159-8.12423
66328329.61308.7520.8603-1.61034
67326326.37314.37511.9946-0.369599
68325323.124320.1672.957561.87577
69333329.995326.2923.702933.0054
70332332.508332.917-0.408179-0.508488
71320326.171340.042-13.8711-6.17052
72338339.87347.333-7.46373-1.8696
73344348.138354.458-6.32022-4.13812
74338344.175361.333-17.1582-6.17515
75363360.124367.875-7.750772.87577
76375369.124374.583-5.45915.87577
77403400.166381.2518.91592.8341
78414408.36387.520.86035.63966
79411405.828393.83311.99465.17207
80405403.374400.4172.957561.62577
81410410.828407.1253.70293-0.827932
82416413.342413.75-0.4081792.65818
83396406.796420.667-13.8711-10.7955
84412420.37427.833-7.46373-8.3696
85422428.263434.583-6.32022-6.26312
86418424.383441.542-17.1582-6.38349
87444441.124448.875-7.750772.87577
88453450.541456-5.45912.4591
89491481.958463.04218.91599.04244
90498491.069470.20820.86036.93133
91489489.453477.45811.9946-0.452932
92494487.416484.4582.957566.5841
93497495.036491.3333.702931.96373
94500497.925498.333-0.4081792.07485
95481491.504505.375-13.8711-10.5039
96499504.953512.417-7.46373-5.95293
97509513.555519.875-6.32022-4.55478
98499510.842528-17.1582-11.8418
99528528.458536.208-7.75077-0.457562
100537538.874544.333-5.4591-1.87423
101576571.458552.54218.91594.54244
102582581.277560.41720.86030.722994
103584579.745567.7511.99464.2554
104594577.833574.8752.9575616.1674
105594585.786582.0833.702938.21373
106598588.883589.292-0.4081799.11651
107580582.546596.417-13.8711-2.54552
108589596.161603.625-7.46373-7.16127
109595604.888611.208-6.32022-9.88812
110584601.925619.083-17.1582-17.9252
111616619.208626.958-7.75077-3.20756
112622629.291634.75-5.4591-7.2909
113662661.333642.41718.91590.667438
114669671.319650.45820.8603-2.31867
115679NANA11.9946NA
116688NANA2.95756NA
117689NANA3.70293NA
118690NANA-0.408179NA
119672NANA-13.8711NA
120690NANA-7.46373NA



Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = 48 ;
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')