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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 02 Apr 2015 17:52:45 +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/2015/Apr/02/t1427993654quuzqmm7a748ptl.htm/, Retrieved Thu, 09 May 2024 05:50:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278593, Retrieved Thu, 09 May 2024 05:50:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [multiplicatief mo...] [2015-04-02 16:52:45] [09743efd8c85782f9ae22fefb9801b71] [Current]
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Dataseries X:
551.91
551.46
550.12
549.95
548.01
548.92
548.92
549.06
547.07
546.5
544.95
544.23
544.23
541.6
541.37
540.43
540.47
540.52
540.52
539.7
540.89
540.51
537.43
538.14
538.14
537.74
540.33
540.02
539.21
539.84
539.84
537.3
536.27
536.75
536.21
536.99
536.99
536.57
536.91
536.97
540.45
542.42
542.42
542.98
540.19
537.16
537.35
537.03
537.03
536.27
534.71
537.12
537.07
537.33
537.33
538.79
539.24
537.17
536.46
532.3
532.3
532.89
533.47
532.54
533.8
534.15
534.15
534.15
534.28
535.63
534.21
533.78
533.78
534.55
536.93
536.09
533.91
533.99
533.99
533.76
532.5
529.5
528.62
528.7
521.27
521.19
519.43
516.81
516.78
515.45
516.22
517.01
518.19
516.79
516.87
514.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278593&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278593&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278593&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'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1551.91NANA0.997701NA
2551.46NANA0.997655NA
3550.12NANA0.998949NA
4549.95NANA0.99874NA
5548.01NANA0.999839NA
6548.92NANA1.00101NA
7548.92549.414548.1051.002390.9991
8549.06548.844547.3741.002681.00039
9547.07547.67546.5991.001960.998905
10546.5546.244545.8381.000741.00047
11544.95544.768545.1270.9993411.00033
12544.23543.909544.4620.9989841.00059
13544.23542.512543.7620.9977011.00317
14541.6541.749543.0220.9976550.999724
15541.37541.805542.3750.9989490.999198
16540.43541.185541.8680.998740.998604
17540.47541.218541.3050.9998390.998619
18540.52541.286540.7381.001010.998585
19540.52541.521540.231.002390.998152
20539.7541.265539.8161.002680.997109
21540.89540.669539.6121.001961.00041
22540.51539.953539.5511.000741.00103
23537.43539.126539.4820.9993410.996853
24538.14538.853539.4010.9989840.998678
25538.14538.104539.3440.9977011.00007
26537.74537.952539.2160.9976550.999607
27540.33538.357538.9230.9989491.00367
28540.02537.896538.5740.998741.00395
29539.21538.28538.3670.9998391.00173
30539.84538.813538.2681.001011.00191
31539.84539.458538.1721.002391.00071
32537.3539.52538.0751.002680.995885
33536.27538.938537.8841.001960.995049
34536.75538.015537.6151.000740.997649
35536.21537.185537.5390.9993410.998185
36536.99537.152537.6980.9989840.999699
37536.99536.677537.9130.9977011.00058
38536.57536.996538.2570.9976550.999208
39536.91538.091538.6580.9989490.997805
40536.97538.159538.8380.998740.99779
41540.45538.816538.9020.9998391.00303
42542.42539.498538.9521.001011.00542
43542.42540.242538.9551.002391.00403
44542.98540.391538.9441.002681.00479
45540.19539.896538.841.001961.00054
46537.16539.156538.7551.000740.996298
47537.35538.265538.620.9993410.9983
48537.03537.72538.2670.9989840.998717
49537.03536.607537.8430.9977011.00079
50536.27536.196537.4560.9976551.00014
51534.71536.677537.2420.9989490.996334
52537.12536.526537.2030.998741.00111
53537.07537.08537.1660.9998390.999982
54537.33537.476536.9321.001010.999728
55537.33537.82536.5381.002390.99909
56538.79537.639536.21.002681.00214
57539.24537.058536.0081.001961.00406
58537.17536.164535.7651.000741.00188
59536.46535.085535.4380.9993411.00257
60532.3534.625535.1690.9989840.995651
61532.3533.675534.9040.9977010.997424
62532.89533.325534.5780.9976550.999184
63533.47533.617534.1780.9989490.999725
64532.54533.235533.9080.998740.998697
65533.8533.663533.750.9998391.00026
66534.15534.258533.7181.001010.999798
67534.15535.116533.8411.002390.998195
68534.15535.405533.9721.002680.997656
69534.28535.232534.1851.001960.998222
70535.63534.875534.4771.000741.00141
71534.21534.277534.630.9993410.999874
72533.78534.084534.6270.9989840.999431
73533.78533.385534.6140.9977011.00074
74534.55533.338534.5910.9976551.00227
75536.93533.939534.5010.9989491.0056
76536.09533.498534.1710.998741.00486
77533.91533.597533.6830.9998391.00059
78533.99533.779533.2381.001011.0004
79533.99533.777532.5051.002391.0004
80533.76532.854531.4281.002681.0017
81532.5531.181530.1421.001961.00248
82529.5529.003528.6091.000741.00094
83528.62526.745527.0920.9993411.00356
84528.7525.072525.6060.9989841.00691
85521.27522.888524.0930.9977010.996905
86521.19521.429522.6550.9976550.999541
87519.43520.812521.360.9989490.997346
88516.81519.579520.2350.998740.99467
89516.78519.132519.2150.9998390.99547
90515.45518.642518.1171.001010.993845
91516.22NANA1.00239NA
92517.01NANA1.00268NA
93518.19NANA1.00196NA
94516.79NANA1.00074NA
95516.87NANA0.999341NA
96514.1NANA0.998984NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 551.91 & NA & NA & 0.997701 & NA \tabularnewline
2 & 551.46 & NA & NA & 0.997655 & NA \tabularnewline
3 & 550.12 & NA & NA & 0.998949 & NA \tabularnewline
4 & 549.95 & NA & NA & 0.99874 & NA \tabularnewline
5 & 548.01 & NA & NA & 0.999839 & NA \tabularnewline
6 & 548.92 & NA & NA & 1.00101 & NA \tabularnewline
7 & 548.92 & 549.414 & 548.105 & 1.00239 & 0.9991 \tabularnewline
8 & 549.06 & 548.844 & 547.374 & 1.00268 & 1.00039 \tabularnewline
9 & 547.07 & 547.67 & 546.599 & 1.00196 & 0.998905 \tabularnewline
10 & 546.5 & 546.244 & 545.838 & 1.00074 & 1.00047 \tabularnewline
11 & 544.95 & 544.768 & 545.127 & 0.999341 & 1.00033 \tabularnewline
12 & 544.23 & 543.909 & 544.462 & 0.998984 & 1.00059 \tabularnewline
13 & 544.23 & 542.512 & 543.762 & 0.997701 & 1.00317 \tabularnewline
14 & 541.6 & 541.749 & 543.022 & 0.997655 & 0.999724 \tabularnewline
15 & 541.37 & 541.805 & 542.375 & 0.998949 & 0.999198 \tabularnewline
16 & 540.43 & 541.185 & 541.868 & 0.99874 & 0.998604 \tabularnewline
17 & 540.47 & 541.218 & 541.305 & 0.999839 & 0.998619 \tabularnewline
18 & 540.52 & 541.286 & 540.738 & 1.00101 & 0.998585 \tabularnewline
19 & 540.52 & 541.521 & 540.23 & 1.00239 & 0.998152 \tabularnewline
20 & 539.7 & 541.265 & 539.816 & 1.00268 & 0.997109 \tabularnewline
21 & 540.89 & 540.669 & 539.612 & 1.00196 & 1.00041 \tabularnewline
22 & 540.51 & 539.953 & 539.551 & 1.00074 & 1.00103 \tabularnewline
23 & 537.43 & 539.126 & 539.482 & 0.999341 & 0.996853 \tabularnewline
24 & 538.14 & 538.853 & 539.401 & 0.998984 & 0.998678 \tabularnewline
25 & 538.14 & 538.104 & 539.344 & 0.997701 & 1.00007 \tabularnewline
26 & 537.74 & 537.952 & 539.216 & 0.997655 & 0.999607 \tabularnewline
27 & 540.33 & 538.357 & 538.923 & 0.998949 & 1.00367 \tabularnewline
28 & 540.02 & 537.896 & 538.574 & 0.99874 & 1.00395 \tabularnewline
29 & 539.21 & 538.28 & 538.367 & 0.999839 & 1.00173 \tabularnewline
30 & 539.84 & 538.813 & 538.268 & 1.00101 & 1.00191 \tabularnewline
31 & 539.84 & 539.458 & 538.172 & 1.00239 & 1.00071 \tabularnewline
32 & 537.3 & 539.52 & 538.075 & 1.00268 & 0.995885 \tabularnewline
33 & 536.27 & 538.938 & 537.884 & 1.00196 & 0.995049 \tabularnewline
34 & 536.75 & 538.015 & 537.615 & 1.00074 & 0.997649 \tabularnewline
35 & 536.21 & 537.185 & 537.539 & 0.999341 & 0.998185 \tabularnewline
36 & 536.99 & 537.152 & 537.698 & 0.998984 & 0.999699 \tabularnewline
37 & 536.99 & 536.677 & 537.913 & 0.997701 & 1.00058 \tabularnewline
38 & 536.57 & 536.996 & 538.257 & 0.997655 & 0.999208 \tabularnewline
39 & 536.91 & 538.091 & 538.658 & 0.998949 & 0.997805 \tabularnewline
40 & 536.97 & 538.159 & 538.838 & 0.99874 & 0.99779 \tabularnewline
41 & 540.45 & 538.816 & 538.902 & 0.999839 & 1.00303 \tabularnewline
42 & 542.42 & 539.498 & 538.952 & 1.00101 & 1.00542 \tabularnewline
43 & 542.42 & 540.242 & 538.955 & 1.00239 & 1.00403 \tabularnewline
44 & 542.98 & 540.391 & 538.944 & 1.00268 & 1.00479 \tabularnewline
45 & 540.19 & 539.896 & 538.84 & 1.00196 & 1.00054 \tabularnewline
46 & 537.16 & 539.156 & 538.755 & 1.00074 & 0.996298 \tabularnewline
47 & 537.35 & 538.265 & 538.62 & 0.999341 & 0.9983 \tabularnewline
48 & 537.03 & 537.72 & 538.267 & 0.998984 & 0.998717 \tabularnewline
49 & 537.03 & 536.607 & 537.843 & 0.997701 & 1.00079 \tabularnewline
50 & 536.27 & 536.196 & 537.456 & 0.997655 & 1.00014 \tabularnewline
51 & 534.71 & 536.677 & 537.242 & 0.998949 & 0.996334 \tabularnewline
52 & 537.12 & 536.526 & 537.203 & 0.99874 & 1.00111 \tabularnewline
53 & 537.07 & 537.08 & 537.166 & 0.999839 & 0.999982 \tabularnewline
54 & 537.33 & 537.476 & 536.932 & 1.00101 & 0.999728 \tabularnewline
55 & 537.33 & 537.82 & 536.538 & 1.00239 & 0.99909 \tabularnewline
56 & 538.79 & 537.639 & 536.2 & 1.00268 & 1.00214 \tabularnewline
57 & 539.24 & 537.058 & 536.008 & 1.00196 & 1.00406 \tabularnewline
58 & 537.17 & 536.164 & 535.765 & 1.00074 & 1.00188 \tabularnewline
59 & 536.46 & 535.085 & 535.438 & 0.999341 & 1.00257 \tabularnewline
60 & 532.3 & 534.625 & 535.169 & 0.998984 & 0.995651 \tabularnewline
61 & 532.3 & 533.675 & 534.904 & 0.997701 & 0.997424 \tabularnewline
62 & 532.89 & 533.325 & 534.578 & 0.997655 & 0.999184 \tabularnewline
63 & 533.47 & 533.617 & 534.178 & 0.998949 & 0.999725 \tabularnewline
64 & 532.54 & 533.235 & 533.908 & 0.99874 & 0.998697 \tabularnewline
65 & 533.8 & 533.663 & 533.75 & 0.999839 & 1.00026 \tabularnewline
66 & 534.15 & 534.258 & 533.718 & 1.00101 & 0.999798 \tabularnewline
67 & 534.15 & 535.116 & 533.841 & 1.00239 & 0.998195 \tabularnewline
68 & 534.15 & 535.405 & 533.972 & 1.00268 & 0.997656 \tabularnewline
69 & 534.28 & 535.232 & 534.185 & 1.00196 & 0.998222 \tabularnewline
70 & 535.63 & 534.875 & 534.477 & 1.00074 & 1.00141 \tabularnewline
71 & 534.21 & 534.277 & 534.63 & 0.999341 & 0.999874 \tabularnewline
72 & 533.78 & 534.084 & 534.627 & 0.998984 & 0.999431 \tabularnewline
73 & 533.78 & 533.385 & 534.614 & 0.997701 & 1.00074 \tabularnewline
74 & 534.55 & 533.338 & 534.591 & 0.997655 & 1.00227 \tabularnewline
75 & 536.93 & 533.939 & 534.501 & 0.998949 & 1.0056 \tabularnewline
76 & 536.09 & 533.498 & 534.171 & 0.99874 & 1.00486 \tabularnewline
77 & 533.91 & 533.597 & 533.683 & 0.999839 & 1.00059 \tabularnewline
78 & 533.99 & 533.779 & 533.238 & 1.00101 & 1.0004 \tabularnewline
79 & 533.99 & 533.777 & 532.505 & 1.00239 & 1.0004 \tabularnewline
80 & 533.76 & 532.854 & 531.428 & 1.00268 & 1.0017 \tabularnewline
81 & 532.5 & 531.181 & 530.142 & 1.00196 & 1.00248 \tabularnewline
82 & 529.5 & 529.003 & 528.609 & 1.00074 & 1.00094 \tabularnewline
83 & 528.62 & 526.745 & 527.092 & 0.999341 & 1.00356 \tabularnewline
84 & 528.7 & 525.072 & 525.606 & 0.998984 & 1.00691 \tabularnewline
85 & 521.27 & 522.888 & 524.093 & 0.997701 & 0.996905 \tabularnewline
86 & 521.19 & 521.429 & 522.655 & 0.997655 & 0.999541 \tabularnewline
87 & 519.43 & 520.812 & 521.36 & 0.998949 & 0.997346 \tabularnewline
88 & 516.81 & 519.579 & 520.235 & 0.99874 & 0.99467 \tabularnewline
89 & 516.78 & 519.132 & 519.215 & 0.999839 & 0.99547 \tabularnewline
90 & 515.45 & 518.642 & 518.117 & 1.00101 & 0.993845 \tabularnewline
91 & 516.22 & NA & NA & 1.00239 & NA \tabularnewline
92 & 517.01 & NA & NA & 1.00268 & NA \tabularnewline
93 & 518.19 & NA & NA & 1.00196 & NA \tabularnewline
94 & 516.79 & NA & NA & 1.00074 & NA \tabularnewline
95 & 516.87 & NA & NA & 0.999341 & NA \tabularnewline
96 & 514.1 & NA & NA & 0.998984 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278593&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]551.91[/C][C]NA[/C][C]NA[/C][C]0.997701[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]551.46[/C][C]NA[/C][C]NA[/C][C]0.997655[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]550.12[/C][C]NA[/C][C]NA[/C][C]0.998949[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]549.95[/C][C]NA[/C][C]NA[/C][C]0.99874[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]548.01[/C][C]NA[/C][C]NA[/C][C]0.999839[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]548.92[/C][C]NA[/C][C]NA[/C][C]1.00101[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]548.92[/C][C]549.414[/C][C]548.105[/C][C]1.00239[/C][C]0.9991[/C][/ROW]
[ROW][C]8[/C][C]549.06[/C][C]548.844[/C][C]547.374[/C][C]1.00268[/C][C]1.00039[/C][/ROW]
[ROW][C]9[/C][C]547.07[/C][C]547.67[/C][C]546.599[/C][C]1.00196[/C][C]0.998905[/C][/ROW]
[ROW][C]10[/C][C]546.5[/C][C]546.244[/C][C]545.838[/C][C]1.00074[/C][C]1.00047[/C][/ROW]
[ROW][C]11[/C][C]544.95[/C][C]544.768[/C][C]545.127[/C][C]0.999341[/C][C]1.00033[/C][/ROW]
[ROW][C]12[/C][C]544.23[/C][C]543.909[/C][C]544.462[/C][C]0.998984[/C][C]1.00059[/C][/ROW]
[ROW][C]13[/C][C]544.23[/C][C]542.512[/C][C]543.762[/C][C]0.997701[/C][C]1.00317[/C][/ROW]
[ROW][C]14[/C][C]541.6[/C][C]541.749[/C][C]543.022[/C][C]0.997655[/C][C]0.999724[/C][/ROW]
[ROW][C]15[/C][C]541.37[/C][C]541.805[/C][C]542.375[/C][C]0.998949[/C][C]0.999198[/C][/ROW]
[ROW][C]16[/C][C]540.43[/C][C]541.185[/C][C]541.868[/C][C]0.99874[/C][C]0.998604[/C][/ROW]
[ROW][C]17[/C][C]540.47[/C][C]541.218[/C][C]541.305[/C][C]0.999839[/C][C]0.998619[/C][/ROW]
[ROW][C]18[/C][C]540.52[/C][C]541.286[/C][C]540.738[/C][C]1.00101[/C][C]0.998585[/C][/ROW]
[ROW][C]19[/C][C]540.52[/C][C]541.521[/C][C]540.23[/C][C]1.00239[/C][C]0.998152[/C][/ROW]
[ROW][C]20[/C][C]539.7[/C][C]541.265[/C][C]539.816[/C][C]1.00268[/C][C]0.997109[/C][/ROW]
[ROW][C]21[/C][C]540.89[/C][C]540.669[/C][C]539.612[/C][C]1.00196[/C][C]1.00041[/C][/ROW]
[ROW][C]22[/C][C]540.51[/C][C]539.953[/C][C]539.551[/C][C]1.00074[/C][C]1.00103[/C][/ROW]
[ROW][C]23[/C][C]537.43[/C][C]539.126[/C][C]539.482[/C][C]0.999341[/C][C]0.996853[/C][/ROW]
[ROW][C]24[/C][C]538.14[/C][C]538.853[/C][C]539.401[/C][C]0.998984[/C][C]0.998678[/C][/ROW]
[ROW][C]25[/C][C]538.14[/C][C]538.104[/C][C]539.344[/C][C]0.997701[/C][C]1.00007[/C][/ROW]
[ROW][C]26[/C][C]537.74[/C][C]537.952[/C][C]539.216[/C][C]0.997655[/C][C]0.999607[/C][/ROW]
[ROW][C]27[/C][C]540.33[/C][C]538.357[/C][C]538.923[/C][C]0.998949[/C][C]1.00367[/C][/ROW]
[ROW][C]28[/C][C]540.02[/C][C]537.896[/C][C]538.574[/C][C]0.99874[/C][C]1.00395[/C][/ROW]
[ROW][C]29[/C][C]539.21[/C][C]538.28[/C][C]538.367[/C][C]0.999839[/C][C]1.00173[/C][/ROW]
[ROW][C]30[/C][C]539.84[/C][C]538.813[/C][C]538.268[/C][C]1.00101[/C][C]1.00191[/C][/ROW]
[ROW][C]31[/C][C]539.84[/C][C]539.458[/C][C]538.172[/C][C]1.00239[/C][C]1.00071[/C][/ROW]
[ROW][C]32[/C][C]537.3[/C][C]539.52[/C][C]538.075[/C][C]1.00268[/C][C]0.995885[/C][/ROW]
[ROW][C]33[/C][C]536.27[/C][C]538.938[/C][C]537.884[/C][C]1.00196[/C][C]0.995049[/C][/ROW]
[ROW][C]34[/C][C]536.75[/C][C]538.015[/C][C]537.615[/C][C]1.00074[/C][C]0.997649[/C][/ROW]
[ROW][C]35[/C][C]536.21[/C][C]537.185[/C][C]537.539[/C][C]0.999341[/C][C]0.998185[/C][/ROW]
[ROW][C]36[/C][C]536.99[/C][C]537.152[/C][C]537.698[/C][C]0.998984[/C][C]0.999699[/C][/ROW]
[ROW][C]37[/C][C]536.99[/C][C]536.677[/C][C]537.913[/C][C]0.997701[/C][C]1.00058[/C][/ROW]
[ROW][C]38[/C][C]536.57[/C][C]536.996[/C][C]538.257[/C][C]0.997655[/C][C]0.999208[/C][/ROW]
[ROW][C]39[/C][C]536.91[/C][C]538.091[/C][C]538.658[/C][C]0.998949[/C][C]0.997805[/C][/ROW]
[ROW][C]40[/C][C]536.97[/C][C]538.159[/C][C]538.838[/C][C]0.99874[/C][C]0.99779[/C][/ROW]
[ROW][C]41[/C][C]540.45[/C][C]538.816[/C][C]538.902[/C][C]0.999839[/C][C]1.00303[/C][/ROW]
[ROW][C]42[/C][C]542.42[/C][C]539.498[/C][C]538.952[/C][C]1.00101[/C][C]1.00542[/C][/ROW]
[ROW][C]43[/C][C]542.42[/C][C]540.242[/C][C]538.955[/C][C]1.00239[/C][C]1.00403[/C][/ROW]
[ROW][C]44[/C][C]542.98[/C][C]540.391[/C][C]538.944[/C][C]1.00268[/C][C]1.00479[/C][/ROW]
[ROW][C]45[/C][C]540.19[/C][C]539.896[/C][C]538.84[/C][C]1.00196[/C][C]1.00054[/C][/ROW]
[ROW][C]46[/C][C]537.16[/C][C]539.156[/C][C]538.755[/C][C]1.00074[/C][C]0.996298[/C][/ROW]
[ROW][C]47[/C][C]537.35[/C][C]538.265[/C][C]538.62[/C][C]0.999341[/C][C]0.9983[/C][/ROW]
[ROW][C]48[/C][C]537.03[/C][C]537.72[/C][C]538.267[/C][C]0.998984[/C][C]0.998717[/C][/ROW]
[ROW][C]49[/C][C]537.03[/C][C]536.607[/C][C]537.843[/C][C]0.997701[/C][C]1.00079[/C][/ROW]
[ROW][C]50[/C][C]536.27[/C][C]536.196[/C][C]537.456[/C][C]0.997655[/C][C]1.00014[/C][/ROW]
[ROW][C]51[/C][C]534.71[/C][C]536.677[/C][C]537.242[/C][C]0.998949[/C][C]0.996334[/C][/ROW]
[ROW][C]52[/C][C]537.12[/C][C]536.526[/C][C]537.203[/C][C]0.99874[/C][C]1.00111[/C][/ROW]
[ROW][C]53[/C][C]537.07[/C][C]537.08[/C][C]537.166[/C][C]0.999839[/C][C]0.999982[/C][/ROW]
[ROW][C]54[/C][C]537.33[/C][C]537.476[/C][C]536.932[/C][C]1.00101[/C][C]0.999728[/C][/ROW]
[ROW][C]55[/C][C]537.33[/C][C]537.82[/C][C]536.538[/C][C]1.00239[/C][C]0.99909[/C][/ROW]
[ROW][C]56[/C][C]538.79[/C][C]537.639[/C][C]536.2[/C][C]1.00268[/C][C]1.00214[/C][/ROW]
[ROW][C]57[/C][C]539.24[/C][C]537.058[/C][C]536.008[/C][C]1.00196[/C][C]1.00406[/C][/ROW]
[ROW][C]58[/C][C]537.17[/C][C]536.164[/C][C]535.765[/C][C]1.00074[/C][C]1.00188[/C][/ROW]
[ROW][C]59[/C][C]536.46[/C][C]535.085[/C][C]535.438[/C][C]0.999341[/C][C]1.00257[/C][/ROW]
[ROW][C]60[/C][C]532.3[/C][C]534.625[/C][C]535.169[/C][C]0.998984[/C][C]0.995651[/C][/ROW]
[ROW][C]61[/C][C]532.3[/C][C]533.675[/C][C]534.904[/C][C]0.997701[/C][C]0.997424[/C][/ROW]
[ROW][C]62[/C][C]532.89[/C][C]533.325[/C][C]534.578[/C][C]0.997655[/C][C]0.999184[/C][/ROW]
[ROW][C]63[/C][C]533.47[/C][C]533.617[/C][C]534.178[/C][C]0.998949[/C][C]0.999725[/C][/ROW]
[ROW][C]64[/C][C]532.54[/C][C]533.235[/C][C]533.908[/C][C]0.99874[/C][C]0.998697[/C][/ROW]
[ROW][C]65[/C][C]533.8[/C][C]533.663[/C][C]533.75[/C][C]0.999839[/C][C]1.00026[/C][/ROW]
[ROW][C]66[/C][C]534.15[/C][C]534.258[/C][C]533.718[/C][C]1.00101[/C][C]0.999798[/C][/ROW]
[ROW][C]67[/C][C]534.15[/C][C]535.116[/C][C]533.841[/C][C]1.00239[/C][C]0.998195[/C][/ROW]
[ROW][C]68[/C][C]534.15[/C][C]535.405[/C][C]533.972[/C][C]1.00268[/C][C]0.997656[/C][/ROW]
[ROW][C]69[/C][C]534.28[/C][C]535.232[/C][C]534.185[/C][C]1.00196[/C][C]0.998222[/C][/ROW]
[ROW][C]70[/C][C]535.63[/C][C]534.875[/C][C]534.477[/C][C]1.00074[/C][C]1.00141[/C][/ROW]
[ROW][C]71[/C][C]534.21[/C][C]534.277[/C][C]534.63[/C][C]0.999341[/C][C]0.999874[/C][/ROW]
[ROW][C]72[/C][C]533.78[/C][C]534.084[/C][C]534.627[/C][C]0.998984[/C][C]0.999431[/C][/ROW]
[ROW][C]73[/C][C]533.78[/C][C]533.385[/C][C]534.614[/C][C]0.997701[/C][C]1.00074[/C][/ROW]
[ROW][C]74[/C][C]534.55[/C][C]533.338[/C][C]534.591[/C][C]0.997655[/C][C]1.00227[/C][/ROW]
[ROW][C]75[/C][C]536.93[/C][C]533.939[/C][C]534.501[/C][C]0.998949[/C][C]1.0056[/C][/ROW]
[ROW][C]76[/C][C]536.09[/C][C]533.498[/C][C]534.171[/C][C]0.99874[/C][C]1.00486[/C][/ROW]
[ROW][C]77[/C][C]533.91[/C][C]533.597[/C][C]533.683[/C][C]0.999839[/C][C]1.00059[/C][/ROW]
[ROW][C]78[/C][C]533.99[/C][C]533.779[/C][C]533.238[/C][C]1.00101[/C][C]1.0004[/C][/ROW]
[ROW][C]79[/C][C]533.99[/C][C]533.777[/C][C]532.505[/C][C]1.00239[/C][C]1.0004[/C][/ROW]
[ROW][C]80[/C][C]533.76[/C][C]532.854[/C][C]531.428[/C][C]1.00268[/C][C]1.0017[/C][/ROW]
[ROW][C]81[/C][C]532.5[/C][C]531.181[/C][C]530.142[/C][C]1.00196[/C][C]1.00248[/C][/ROW]
[ROW][C]82[/C][C]529.5[/C][C]529.003[/C][C]528.609[/C][C]1.00074[/C][C]1.00094[/C][/ROW]
[ROW][C]83[/C][C]528.62[/C][C]526.745[/C][C]527.092[/C][C]0.999341[/C][C]1.00356[/C][/ROW]
[ROW][C]84[/C][C]528.7[/C][C]525.072[/C][C]525.606[/C][C]0.998984[/C][C]1.00691[/C][/ROW]
[ROW][C]85[/C][C]521.27[/C][C]522.888[/C][C]524.093[/C][C]0.997701[/C][C]0.996905[/C][/ROW]
[ROW][C]86[/C][C]521.19[/C][C]521.429[/C][C]522.655[/C][C]0.997655[/C][C]0.999541[/C][/ROW]
[ROW][C]87[/C][C]519.43[/C][C]520.812[/C][C]521.36[/C][C]0.998949[/C][C]0.997346[/C][/ROW]
[ROW][C]88[/C][C]516.81[/C][C]519.579[/C][C]520.235[/C][C]0.99874[/C][C]0.99467[/C][/ROW]
[ROW][C]89[/C][C]516.78[/C][C]519.132[/C][C]519.215[/C][C]0.999839[/C][C]0.99547[/C][/ROW]
[ROW][C]90[/C][C]515.45[/C][C]518.642[/C][C]518.117[/C][C]1.00101[/C][C]0.993845[/C][/ROW]
[ROW][C]91[/C][C]516.22[/C][C]NA[/C][C]NA[/C][C]1.00239[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]517.01[/C][C]NA[/C][C]NA[/C][C]1.00268[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]518.19[/C][C]NA[/C][C]NA[/C][C]1.00196[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]516.79[/C][C]NA[/C][C]NA[/C][C]1.00074[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]516.87[/C][C]NA[/C][C]NA[/C][C]0.999341[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]514.1[/C][C]NA[/C][C]NA[/C][C]0.998984[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278593&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278593&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
1551.91NANA0.997701NA
2551.46NANA0.997655NA
3550.12NANA0.998949NA
4549.95NANA0.99874NA
5548.01NANA0.999839NA
6548.92NANA1.00101NA
7548.92549.414548.1051.002390.9991
8549.06548.844547.3741.002681.00039
9547.07547.67546.5991.001960.998905
10546.5546.244545.8381.000741.00047
11544.95544.768545.1270.9993411.00033
12544.23543.909544.4620.9989841.00059
13544.23542.512543.7620.9977011.00317
14541.6541.749543.0220.9976550.999724
15541.37541.805542.3750.9989490.999198
16540.43541.185541.8680.998740.998604
17540.47541.218541.3050.9998390.998619
18540.52541.286540.7381.001010.998585
19540.52541.521540.231.002390.998152
20539.7541.265539.8161.002680.997109
21540.89540.669539.6121.001961.00041
22540.51539.953539.5511.000741.00103
23537.43539.126539.4820.9993410.996853
24538.14538.853539.4010.9989840.998678
25538.14538.104539.3440.9977011.00007
26537.74537.952539.2160.9976550.999607
27540.33538.357538.9230.9989491.00367
28540.02537.896538.5740.998741.00395
29539.21538.28538.3670.9998391.00173
30539.84538.813538.2681.001011.00191
31539.84539.458538.1721.002391.00071
32537.3539.52538.0751.002680.995885
33536.27538.938537.8841.001960.995049
34536.75538.015537.6151.000740.997649
35536.21537.185537.5390.9993410.998185
36536.99537.152537.6980.9989840.999699
37536.99536.677537.9130.9977011.00058
38536.57536.996538.2570.9976550.999208
39536.91538.091538.6580.9989490.997805
40536.97538.159538.8380.998740.99779
41540.45538.816538.9020.9998391.00303
42542.42539.498538.9521.001011.00542
43542.42540.242538.9551.002391.00403
44542.98540.391538.9441.002681.00479
45540.19539.896538.841.001961.00054
46537.16539.156538.7551.000740.996298
47537.35538.265538.620.9993410.9983
48537.03537.72538.2670.9989840.998717
49537.03536.607537.8430.9977011.00079
50536.27536.196537.4560.9976551.00014
51534.71536.677537.2420.9989490.996334
52537.12536.526537.2030.998741.00111
53537.07537.08537.1660.9998390.999982
54537.33537.476536.9321.001010.999728
55537.33537.82536.5381.002390.99909
56538.79537.639536.21.002681.00214
57539.24537.058536.0081.001961.00406
58537.17536.164535.7651.000741.00188
59536.46535.085535.4380.9993411.00257
60532.3534.625535.1690.9989840.995651
61532.3533.675534.9040.9977010.997424
62532.89533.325534.5780.9976550.999184
63533.47533.617534.1780.9989490.999725
64532.54533.235533.9080.998740.998697
65533.8533.663533.750.9998391.00026
66534.15534.258533.7181.001010.999798
67534.15535.116533.8411.002390.998195
68534.15535.405533.9721.002680.997656
69534.28535.232534.1851.001960.998222
70535.63534.875534.4771.000741.00141
71534.21534.277534.630.9993410.999874
72533.78534.084534.6270.9989840.999431
73533.78533.385534.6140.9977011.00074
74534.55533.338534.5910.9976551.00227
75536.93533.939534.5010.9989491.0056
76536.09533.498534.1710.998741.00486
77533.91533.597533.6830.9998391.00059
78533.99533.779533.2381.001011.0004
79533.99533.777532.5051.002391.0004
80533.76532.854531.4281.002681.0017
81532.5531.181530.1421.001961.00248
82529.5529.003528.6091.000741.00094
83528.62526.745527.0920.9993411.00356
84528.7525.072525.6060.9989841.00691
85521.27522.888524.0930.9977010.996905
86521.19521.429522.6550.9976550.999541
87519.43520.812521.360.9989490.997346
88516.81519.579520.2350.998740.99467
89516.78519.132519.2150.9998390.99547
90515.45518.642518.1171.001010.993845
91516.22NANA1.00239NA
92517.01NANA1.00268NA
93518.19NANA1.00196NA
94516.79NANA1.00074NA
95516.87NANA0.999341NA
96514.1NANA0.998984NA



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')