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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 18 May 2015 10:21:13 +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/May/18/t1431940957diz9rooj87uwgj9.htm/, Retrieved Wed, 01 May 2024 23:49:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279102, Retrieved Wed, 01 May 2024 23:49:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [] [2015-04-02 19:11:55] [e987c12be1fa9f56fc1f6f99845a7dc4]
- R P     [Classical Decomposition] [] [2015-05-18 09:21:13] [9cc41cf98ef45bbf4afe09924481aae1] [Current]
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Dataseries X:
50
45
43
40
43
47
44
41
31
41
40
31
43
22
17
21
29
23
15
24
24
27
17
22
26
12
13
20
15
23
27
17
22
16
20
8
24
18
28
25
11
33
34
23
13
23
26
15
29
23
26
17
32
25
26
32
24
24
28
26
27
45
47
29
40
25
35
26
32
21
32
16
35
19
28
29
29
26
35
38
27
28
29
26
40
20
28
34
38
32
51
27
23
44
37
26




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279102&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279102&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
150NANA1.21501NA
245NANA0.847248NA
343NANA1.00654NA
440NANA0.957074NA
543NANA1.02562NA
647NANA1.04769NA
74447.228541.04171.150750.93164
84142.170839.79171.059790.972236
93135.342337.750.9362210.877135
104134.622735.8750.9650921.18419
114035.282234.51.022671.13372
123125.22432.91670.7662981.22899
134337.311130.70831.215011.15247
142224.393728.79170.8472480.901873
151727.973427.79171.006540.607721
162125.761226.91670.9570740.815178
172926.02525.3751.025621.11431
182325.188224.04171.047690.913126
191526.419222.95831.150750.567768
202423.138821.83331.059791.03722
212419.894721.250.9362211.20635
222720.307121.04170.9650921.32958
231720.879520.41671.022670.814194
242215.198319.83330.7662981.44753
252624.705320.33331.215011.05241
261217.403920.54170.8472480.689501
271320.298520.16671.006540.640441
282018.782619.6250.9570741.06482
291519.785819.29171.025620.758119
302319.731518.83331.047691.16565
312720.905218.16671.150751.29154
321719.429518.33331.059790.874958
332217.983219.20830.9362211.22336
341619.342120.04170.9650920.827213
352020.538720.08331.022670.973773
36815.581420.33330.7662980.513433
372425.565921.04171.215010.938749
381818.286421.58330.8472480.984336
392821.598621.45831.006541.29638
402520.457521.3750.9570741.22205
411122.478121.91671.025620.489366
423323.529422.45831.047691.4025
433426.419222.95831.150751.28694
442324.772623.3751.059790.928445
451322.001223.50.9362210.590877
462322.277523.08330.9650921.03243
472624.160623.6251.022671.07613
481518.518924.16670.7662980.809984
492928.552823.51.215011.01566
502319.945623.54170.8472481.15314
512624.534424.3751.006541.05974
521723.807224.8750.9570740.714069
533225.6404251.025621.24803
542526.759725.54171.047690.934239
552629.823525.91671.150750.871795
563228.349426.751.059791.12877
572426.721328.54170.9362210.89816
582428.872329.91670.9650920.831245
592831.447230.751.022670.890383
602623.819131.08330.7662981.09156
612738.222331.45831.215010.706393
624526.758931.58330.8472481.68168
634731.873731.66671.006541.47457
642930.506731.8750.9570740.95061
654032.734231.91671.025621.22196
662533.176831.66671.047690.753538
673536.344431.58331.150750.963009
682632.676930.83331.059790.79567
693227.111428.95830.9362211.18032
702127.183428.16670.9650920.77253
713228.336527.70831.022671.12928
721620.913627.29170.7662980.765054
733533.210427.33331.215011.05389
741923.581727.83330.8472480.805708
752828.308928.1251.006540.989089
762926.997528.20830.9570741.07417
772929.101828.3751.025620.996501
782630.033828.66671.047690.865692
793533.707329.29171.150751.03835
803831.30829.54171.059791.21375
812727.696529.58330.9362210.974851
822828.751729.79170.9650920.973855
832931.063730.3751.022670.933567
842623.7553310.7662981.09449
854038.779231.91671.215011.03148
862027.217832.1250.8472480.734812
872831.70631.51.006540.883115
883430.6264320.9570741.11015
893833.8453331.025621.12276
903234.92333.33331.047690.916302
9151NANA1.15075NA
9227NANA1.05979NA
9323NANA0.936221NA
9444NANA0.965092NA
9537NANA1.02267NA
9626NANA0.766298NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 50 & NA & NA & 1.21501 & NA \tabularnewline
2 & 45 & NA & NA & 0.847248 & NA \tabularnewline
3 & 43 & NA & NA & 1.00654 & NA \tabularnewline
4 & 40 & NA & NA & 0.957074 & NA \tabularnewline
5 & 43 & NA & NA & 1.02562 & NA \tabularnewline
6 & 47 & NA & NA & 1.04769 & NA \tabularnewline
7 & 44 & 47.2285 & 41.0417 & 1.15075 & 0.93164 \tabularnewline
8 & 41 & 42.1708 & 39.7917 & 1.05979 & 0.972236 \tabularnewline
9 & 31 & 35.3423 & 37.75 & 0.936221 & 0.877135 \tabularnewline
10 & 41 & 34.6227 & 35.875 & 0.965092 & 1.18419 \tabularnewline
11 & 40 & 35.2822 & 34.5 & 1.02267 & 1.13372 \tabularnewline
12 & 31 & 25.224 & 32.9167 & 0.766298 & 1.22899 \tabularnewline
13 & 43 & 37.3111 & 30.7083 & 1.21501 & 1.15247 \tabularnewline
14 & 22 & 24.3937 & 28.7917 & 0.847248 & 0.901873 \tabularnewline
15 & 17 & 27.9734 & 27.7917 & 1.00654 & 0.607721 \tabularnewline
16 & 21 & 25.7612 & 26.9167 & 0.957074 & 0.815178 \tabularnewline
17 & 29 & 26.025 & 25.375 & 1.02562 & 1.11431 \tabularnewline
18 & 23 & 25.1882 & 24.0417 & 1.04769 & 0.913126 \tabularnewline
19 & 15 & 26.4192 & 22.9583 & 1.15075 & 0.567768 \tabularnewline
20 & 24 & 23.1388 & 21.8333 & 1.05979 & 1.03722 \tabularnewline
21 & 24 & 19.8947 & 21.25 & 0.936221 & 1.20635 \tabularnewline
22 & 27 & 20.3071 & 21.0417 & 0.965092 & 1.32958 \tabularnewline
23 & 17 & 20.8795 & 20.4167 & 1.02267 & 0.814194 \tabularnewline
24 & 22 & 15.1983 & 19.8333 & 0.766298 & 1.44753 \tabularnewline
25 & 26 & 24.7053 & 20.3333 & 1.21501 & 1.05241 \tabularnewline
26 & 12 & 17.4039 & 20.5417 & 0.847248 & 0.689501 \tabularnewline
27 & 13 & 20.2985 & 20.1667 & 1.00654 & 0.640441 \tabularnewline
28 & 20 & 18.7826 & 19.625 & 0.957074 & 1.06482 \tabularnewline
29 & 15 & 19.7858 & 19.2917 & 1.02562 & 0.758119 \tabularnewline
30 & 23 & 19.7315 & 18.8333 & 1.04769 & 1.16565 \tabularnewline
31 & 27 & 20.9052 & 18.1667 & 1.15075 & 1.29154 \tabularnewline
32 & 17 & 19.4295 & 18.3333 & 1.05979 & 0.874958 \tabularnewline
33 & 22 & 17.9832 & 19.2083 & 0.936221 & 1.22336 \tabularnewline
34 & 16 & 19.3421 & 20.0417 & 0.965092 & 0.827213 \tabularnewline
35 & 20 & 20.5387 & 20.0833 & 1.02267 & 0.973773 \tabularnewline
36 & 8 & 15.5814 & 20.3333 & 0.766298 & 0.513433 \tabularnewline
37 & 24 & 25.5659 & 21.0417 & 1.21501 & 0.938749 \tabularnewline
38 & 18 & 18.2864 & 21.5833 & 0.847248 & 0.984336 \tabularnewline
39 & 28 & 21.5986 & 21.4583 & 1.00654 & 1.29638 \tabularnewline
40 & 25 & 20.4575 & 21.375 & 0.957074 & 1.22205 \tabularnewline
41 & 11 & 22.4781 & 21.9167 & 1.02562 & 0.489366 \tabularnewline
42 & 33 & 23.5294 & 22.4583 & 1.04769 & 1.4025 \tabularnewline
43 & 34 & 26.4192 & 22.9583 & 1.15075 & 1.28694 \tabularnewline
44 & 23 & 24.7726 & 23.375 & 1.05979 & 0.928445 \tabularnewline
45 & 13 & 22.0012 & 23.5 & 0.936221 & 0.590877 \tabularnewline
46 & 23 & 22.2775 & 23.0833 & 0.965092 & 1.03243 \tabularnewline
47 & 26 & 24.1606 & 23.625 & 1.02267 & 1.07613 \tabularnewline
48 & 15 & 18.5189 & 24.1667 & 0.766298 & 0.809984 \tabularnewline
49 & 29 & 28.5528 & 23.5 & 1.21501 & 1.01566 \tabularnewline
50 & 23 & 19.9456 & 23.5417 & 0.847248 & 1.15314 \tabularnewline
51 & 26 & 24.5344 & 24.375 & 1.00654 & 1.05974 \tabularnewline
52 & 17 & 23.8072 & 24.875 & 0.957074 & 0.714069 \tabularnewline
53 & 32 & 25.6404 & 25 & 1.02562 & 1.24803 \tabularnewline
54 & 25 & 26.7597 & 25.5417 & 1.04769 & 0.934239 \tabularnewline
55 & 26 & 29.8235 & 25.9167 & 1.15075 & 0.871795 \tabularnewline
56 & 32 & 28.3494 & 26.75 & 1.05979 & 1.12877 \tabularnewline
57 & 24 & 26.7213 & 28.5417 & 0.936221 & 0.89816 \tabularnewline
58 & 24 & 28.8723 & 29.9167 & 0.965092 & 0.831245 \tabularnewline
59 & 28 & 31.4472 & 30.75 & 1.02267 & 0.890383 \tabularnewline
60 & 26 & 23.8191 & 31.0833 & 0.766298 & 1.09156 \tabularnewline
61 & 27 & 38.2223 & 31.4583 & 1.21501 & 0.706393 \tabularnewline
62 & 45 & 26.7589 & 31.5833 & 0.847248 & 1.68168 \tabularnewline
63 & 47 & 31.8737 & 31.6667 & 1.00654 & 1.47457 \tabularnewline
64 & 29 & 30.5067 & 31.875 & 0.957074 & 0.95061 \tabularnewline
65 & 40 & 32.7342 & 31.9167 & 1.02562 & 1.22196 \tabularnewline
66 & 25 & 33.1768 & 31.6667 & 1.04769 & 0.753538 \tabularnewline
67 & 35 & 36.3444 & 31.5833 & 1.15075 & 0.963009 \tabularnewline
68 & 26 & 32.6769 & 30.8333 & 1.05979 & 0.79567 \tabularnewline
69 & 32 & 27.1114 & 28.9583 & 0.936221 & 1.18032 \tabularnewline
70 & 21 & 27.1834 & 28.1667 & 0.965092 & 0.77253 \tabularnewline
71 & 32 & 28.3365 & 27.7083 & 1.02267 & 1.12928 \tabularnewline
72 & 16 & 20.9136 & 27.2917 & 0.766298 & 0.765054 \tabularnewline
73 & 35 & 33.2104 & 27.3333 & 1.21501 & 1.05389 \tabularnewline
74 & 19 & 23.5817 & 27.8333 & 0.847248 & 0.805708 \tabularnewline
75 & 28 & 28.3089 & 28.125 & 1.00654 & 0.989089 \tabularnewline
76 & 29 & 26.9975 & 28.2083 & 0.957074 & 1.07417 \tabularnewline
77 & 29 & 29.1018 & 28.375 & 1.02562 & 0.996501 \tabularnewline
78 & 26 & 30.0338 & 28.6667 & 1.04769 & 0.865692 \tabularnewline
79 & 35 & 33.7073 & 29.2917 & 1.15075 & 1.03835 \tabularnewline
80 & 38 & 31.308 & 29.5417 & 1.05979 & 1.21375 \tabularnewline
81 & 27 & 27.6965 & 29.5833 & 0.936221 & 0.974851 \tabularnewline
82 & 28 & 28.7517 & 29.7917 & 0.965092 & 0.973855 \tabularnewline
83 & 29 & 31.0637 & 30.375 & 1.02267 & 0.933567 \tabularnewline
84 & 26 & 23.7553 & 31 & 0.766298 & 1.09449 \tabularnewline
85 & 40 & 38.7792 & 31.9167 & 1.21501 & 1.03148 \tabularnewline
86 & 20 & 27.2178 & 32.125 & 0.847248 & 0.734812 \tabularnewline
87 & 28 & 31.706 & 31.5 & 1.00654 & 0.883115 \tabularnewline
88 & 34 & 30.6264 & 32 & 0.957074 & 1.11015 \tabularnewline
89 & 38 & 33.8453 & 33 & 1.02562 & 1.12276 \tabularnewline
90 & 32 & 34.923 & 33.3333 & 1.04769 & 0.916302 \tabularnewline
91 & 51 & NA & NA & 1.15075 & NA \tabularnewline
92 & 27 & NA & NA & 1.05979 & NA \tabularnewline
93 & 23 & NA & NA & 0.936221 & NA \tabularnewline
94 & 44 & NA & NA & 0.965092 & NA \tabularnewline
95 & 37 & NA & NA & 1.02267 & NA \tabularnewline
96 & 26 & NA & NA & 0.766298 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279102&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]50[/C][C]NA[/C][C]NA[/C][C]1.21501[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]45[/C][C]NA[/C][C]NA[/C][C]0.847248[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]43[/C][C]NA[/C][C]NA[/C][C]1.00654[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]40[/C][C]NA[/C][C]NA[/C][C]0.957074[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]43[/C][C]NA[/C][C]NA[/C][C]1.02562[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]47[/C][C]NA[/C][C]NA[/C][C]1.04769[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]47.2285[/C][C]41.0417[/C][C]1.15075[/C][C]0.93164[/C][/ROW]
[ROW][C]8[/C][C]41[/C][C]42.1708[/C][C]39.7917[/C][C]1.05979[/C][C]0.972236[/C][/ROW]
[ROW][C]9[/C][C]31[/C][C]35.3423[/C][C]37.75[/C][C]0.936221[/C][C]0.877135[/C][/ROW]
[ROW][C]10[/C][C]41[/C][C]34.6227[/C][C]35.875[/C][C]0.965092[/C][C]1.18419[/C][/ROW]
[ROW][C]11[/C][C]40[/C][C]35.2822[/C][C]34.5[/C][C]1.02267[/C][C]1.13372[/C][/ROW]
[ROW][C]12[/C][C]31[/C][C]25.224[/C][C]32.9167[/C][C]0.766298[/C][C]1.22899[/C][/ROW]
[ROW][C]13[/C][C]43[/C][C]37.3111[/C][C]30.7083[/C][C]1.21501[/C][C]1.15247[/C][/ROW]
[ROW][C]14[/C][C]22[/C][C]24.3937[/C][C]28.7917[/C][C]0.847248[/C][C]0.901873[/C][/ROW]
[ROW][C]15[/C][C]17[/C][C]27.9734[/C][C]27.7917[/C][C]1.00654[/C][C]0.607721[/C][/ROW]
[ROW][C]16[/C][C]21[/C][C]25.7612[/C][C]26.9167[/C][C]0.957074[/C][C]0.815178[/C][/ROW]
[ROW][C]17[/C][C]29[/C][C]26.025[/C][C]25.375[/C][C]1.02562[/C][C]1.11431[/C][/ROW]
[ROW][C]18[/C][C]23[/C][C]25.1882[/C][C]24.0417[/C][C]1.04769[/C][C]0.913126[/C][/ROW]
[ROW][C]19[/C][C]15[/C][C]26.4192[/C][C]22.9583[/C][C]1.15075[/C][C]0.567768[/C][/ROW]
[ROW][C]20[/C][C]24[/C][C]23.1388[/C][C]21.8333[/C][C]1.05979[/C][C]1.03722[/C][/ROW]
[ROW][C]21[/C][C]24[/C][C]19.8947[/C][C]21.25[/C][C]0.936221[/C][C]1.20635[/C][/ROW]
[ROW][C]22[/C][C]27[/C][C]20.3071[/C][C]21.0417[/C][C]0.965092[/C][C]1.32958[/C][/ROW]
[ROW][C]23[/C][C]17[/C][C]20.8795[/C][C]20.4167[/C][C]1.02267[/C][C]0.814194[/C][/ROW]
[ROW][C]24[/C][C]22[/C][C]15.1983[/C][C]19.8333[/C][C]0.766298[/C][C]1.44753[/C][/ROW]
[ROW][C]25[/C][C]26[/C][C]24.7053[/C][C]20.3333[/C][C]1.21501[/C][C]1.05241[/C][/ROW]
[ROW][C]26[/C][C]12[/C][C]17.4039[/C][C]20.5417[/C][C]0.847248[/C][C]0.689501[/C][/ROW]
[ROW][C]27[/C][C]13[/C][C]20.2985[/C][C]20.1667[/C][C]1.00654[/C][C]0.640441[/C][/ROW]
[ROW][C]28[/C][C]20[/C][C]18.7826[/C][C]19.625[/C][C]0.957074[/C][C]1.06482[/C][/ROW]
[ROW][C]29[/C][C]15[/C][C]19.7858[/C][C]19.2917[/C][C]1.02562[/C][C]0.758119[/C][/ROW]
[ROW][C]30[/C][C]23[/C][C]19.7315[/C][C]18.8333[/C][C]1.04769[/C][C]1.16565[/C][/ROW]
[ROW][C]31[/C][C]27[/C][C]20.9052[/C][C]18.1667[/C][C]1.15075[/C][C]1.29154[/C][/ROW]
[ROW][C]32[/C][C]17[/C][C]19.4295[/C][C]18.3333[/C][C]1.05979[/C][C]0.874958[/C][/ROW]
[ROW][C]33[/C][C]22[/C][C]17.9832[/C][C]19.2083[/C][C]0.936221[/C][C]1.22336[/C][/ROW]
[ROW][C]34[/C][C]16[/C][C]19.3421[/C][C]20.0417[/C][C]0.965092[/C][C]0.827213[/C][/ROW]
[ROW][C]35[/C][C]20[/C][C]20.5387[/C][C]20.0833[/C][C]1.02267[/C][C]0.973773[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]15.5814[/C][C]20.3333[/C][C]0.766298[/C][C]0.513433[/C][/ROW]
[ROW][C]37[/C][C]24[/C][C]25.5659[/C][C]21.0417[/C][C]1.21501[/C][C]0.938749[/C][/ROW]
[ROW][C]38[/C][C]18[/C][C]18.2864[/C][C]21.5833[/C][C]0.847248[/C][C]0.984336[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]21.5986[/C][C]21.4583[/C][C]1.00654[/C][C]1.29638[/C][/ROW]
[ROW][C]40[/C][C]25[/C][C]20.4575[/C][C]21.375[/C][C]0.957074[/C][C]1.22205[/C][/ROW]
[ROW][C]41[/C][C]11[/C][C]22.4781[/C][C]21.9167[/C][C]1.02562[/C][C]0.489366[/C][/ROW]
[ROW][C]42[/C][C]33[/C][C]23.5294[/C][C]22.4583[/C][C]1.04769[/C][C]1.4025[/C][/ROW]
[ROW][C]43[/C][C]34[/C][C]26.4192[/C][C]22.9583[/C][C]1.15075[/C][C]1.28694[/C][/ROW]
[ROW][C]44[/C][C]23[/C][C]24.7726[/C][C]23.375[/C][C]1.05979[/C][C]0.928445[/C][/ROW]
[ROW][C]45[/C][C]13[/C][C]22.0012[/C][C]23.5[/C][C]0.936221[/C][C]0.590877[/C][/ROW]
[ROW][C]46[/C][C]23[/C][C]22.2775[/C][C]23.0833[/C][C]0.965092[/C][C]1.03243[/C][/ROW]
[ROW][C]47[/C][C]26[/C][C]24.1606[/C][C]23.625[/C][C]1.02267[/C][C]1.07613[/C][/ROW]
[ROW][C]48[/C][C]15[/C][C]18.5189[/C][C]24.1667[/C][C]0.766298[/C][C]0.809984[/C][/ROW]
[ROW][C]49[/C][C]29[/C][C]28.5528[/C][C]23.5[/C][C]1.21501[/C][C]1.01566[/C][/ROW]
[ROW][C]50[/C][C]23[/C][C]19.9456[/C][C]23.5417[/C][C]0.847248[/C][C]1.15314[/C][/ROW]
[ROW][C]51[/C][C]26[/C][C]24.5344[/C][C]24.375[/C][C]1.00654[/C][C]1.05974[/C][/ROW]
[ROW][C]52[/C][C]17[/C][C]23.8072[/C][C]24.875[/C][C]0.957074[/C][C]0.714069[/C][/ROW]
[ROW][C]53[/C][C]32[/C][C]25.6404[/C][C]25[/C][C]1.02562[/C][C]1.24803[/C][/ROW]
[ROW][C]54[/C][C]25[/C][C]26.7597[/C][C]25.5417[/C][C]1.04769[/C][C]0.934239[/C][/ROW]
[ROW][C]55[/C][C]26[/C][C]29.8235[/C][C]25.9167[/C][C]1.15075[/C][C]0.871795[/C][/ROW]
[ROW][C]56[/C][C]32[/C][C]28.3494[/C][C]26.75[/C][C]1.05979[/C][C]1.12877[/C][/ROW]
[ROW][C]57[/C][C]24[/C][C]26.7213[/C][C]28.5417[/C][C]0.936221[/C][C]0.89816[/C][/ROW]
[ROW][C]58[/C][C]24[/C][C]28.8723[/C][C]29.9167[/C][C]0.965092[/C][C]0.831245[/C][/ROW]
[ROW][C]59[/C][C]28[/C][C]31.4472[/C][C]30.75[/C][C]1.02267[/C][C]0.890383[/C][/ROW]
[ROW][C]60[/C][C]26[/C][C]23.8191[/C][C]31.0833[/C][C]0.766298[/C][C]1.09156[/C][/ROW]
[ROW][C]61[/C][C]27[/C][C]38.2223[/C][C]31.4583[/C][C]1.21501[/C][C]0.706393[/C][/ROW]
[ROW][C]62[/C][C]45[/C][C]26.7589[/C][C]31.5833[/C][C]0.847248[/C][C]1.68168[/C][/ROW]
[ROW][C]63[/C][C]47[/C][C]31.8737[/C][C]31.6667[/C][C]1.00654[/C][C]1.47457[/C][/ROW]
[ROW][C]64[/C][C]29[/C][C]30.5067[/C][C]31.875[/C][C]0.957074[/C][C]0.95061[/C][/ROW]
[ROW][C]65[/C][C]40[/C][C]32.7342[/C][C]31.9167[/C][C]1.02562[/C][C]1.22196[/C][/ROW]
[ROW][C]66[/C][C]25[/C][C]33.1768[/C][C]31.6667[/C][C]1.04769[/C][C]0.753538[/C][/ROW]
[ROW][C]67[/C][C]35[/C][C]36.3444[/C][C]31.5833[/C][C]1.15075[/C][C]0.963009[/C][/ROW]
[ROW][C]68[/C][C]26[/C][C]32.6769[/C][C]30.8333[/C][C]1.05979[/C][C]0.79567[/C][/ROW]
[ROW][C]69[/C][C]32[/C][C]27.1114[/C][C]28.9583[/C][C]0.936221[/C][C]1.18032[/C][/ROW]
[ROW][C]70[/C][C]21[/C][C]27.1834[/C][C]28.1667[/C][C]0.965092[/C][C]0.77253[/C][/ROW]
[ROW][C]71[/C][C]32[/C][C]28.3365[/C][C]27.7083[/C][C]1.02267[/C][C]1.12928[/C][/ROW]
[ROW][C]72[/C][C]16[/C][C]20.9136[/C][C]27.2917[/C][C]0.766298[/C][C]0.765054[/C][/ROW]
[ROW][C]73[/C][C]35[/C][C]33.2104[/C][C]27.3333[/C][C]1.21501[/C][C]1.05389[/C][/ROW]
[ROW][C]74[/C][C]19[/C][C]23.5817[/C][C]27.8333[/C][C]0.847248[/C][C]0.805708[/C][/ROW]
[ROW][C]75[/C][C]28[/C][C]28.3089[/C][C]28.125[/C][C]1.00654[/C][C]0.989089[/C][/ROW]
[ROW][C]76[/C][C]29[/C][C]26.9975[/C][C]28.2083[/C][C]0.957074[/C][C]1.07417[/C][/ROW]
[ROW][C]77[/C][C]29[/C][C]29.1018[/C][C]28.375[/C][C]1.02562[/C][C]0.996501[/C][/ROW]
[ROW][C]78[/C][C]26[/C][C]30.0338[/C][C]28.6667[/C][C]1.04769[/C][C]0.865692[/C][/ROW]
[ROW][C]79[/C][C]35[/C][C]33.7073[/C][C]29.2917[/C][C]1.15075[/C][C]1.03835[/C][/ROW]
[ROW][C]80[/C][C]38[/C][C]31.308[/C][C]29.5417[/C][C]1.05979[/C][C]1.21375[/C][/ROW]
[ROW][C]81[/C][C]27[/C][C]27.6965[/C][C]29.5833[/C][C]0.936221[/C][C]0.974851[/C][/ROW]
[ROW][C]82[/C][C]28[/C][C]28.7517[/C][C]29.7917[/C][C]0.965092[/C][C]0.973855[/C][/ROW]
[ROW][C]83[/C][C]29[/C][C]31.0637[/C][C]30.375[/C][C]1.02267[/C][C]0.933567[/C][/ROW]
[ROW][C]84[/C][C]26[/C][C]23.7553[/C][C]31[/C][C]0.766298[/C][C]1.09449[/C][/ROW]
[ROW][C]85[/C][C]40[/C][C]38.7792[/C][C]31.9167[/C][C]1.21501[/C][C]1.03148[/C][/ROW]
[ROW][C]86[/C][C]20[/C][C]27.2178[/C][C]32.125[/C][C]0.847248[/C][C]0.734812[/C][/ROW]
[ROW][C]87[/C][C]28[/C][C]31.706[/C][C]31.5[/C][C]1.00654[/C][C]0.883115[/C][/ROW]
[ROW][C]88[/C][C]34[/C][C]30.6264[/C][C]32[/C][C]0.957074[/C][C]1.11015[/C][/ROW]
[ROW][C]89[/C][C]38[/C][C]33.8453[/C][C]33[/C][C]1.02562[/C][C]1.12276[/C][/ROW]
[ROW][C]90[/C][C]32[/C][C]34.923[/C][C]33.3333[/C][C]1.04769[/C][C]0.916302[/C][/ROW]
[ROW][C]91[/C][C]51[/C][C]NA[/C][C]NA[/C][C]1.15075[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]27[/C][C]NA[/C][C]NA[/C][C]1.05979[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]23[/C][C]NA[/C][C]NA[/C][C]0.936221[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]44[/C][C]NA[/C][C]NA[/C][C]0.965092[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]37[/C][C]NA[/C][C]NA[/C][C]1.02267[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]26[/C][C]NA[/C][C]NA[/C][C]0.766298[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279102&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
150NANA1.21501NA
245NANA0.847248NA
343NANA1.00654NA
440NANA0.957074NA
543NANA1.02562NA
647NANA1.04769NA
74447.228541.04171.150750.93164
84142.170839.79171.059790.972236
93135.342337.750.9362210.877135
104134.622735.8750.9650921.18419
114035.282234.51.022671.13372
123125.22432.91670.7662981.22899
134337.311130.70831.215011.15247
142224.393728.79170.8472480.901873
151727.973427.79171.006540.607721
162125.761226.91670.9570740.815178
172926.02525.3751.025621.11431
182325.188224.04171.047690.913126
191526.419222.95831.150750.567768
202423.138821.83331.059791.03722
212419.894721.250.9362211.20635
222720.307121.04170.9650921.32958
231720.879520.41671.022670.814194
242215.198319.83330.7662981.44753
252624.705320.33331.215011.05241
261217.403920.54170.8472480.689501
271320.298520.16671.006540.640441
282018.782619.6250.9570741.06482
291519.785819.29171.025620.758119
302319.731518.83331.047691.16565
312720.905218.16671.150751.29154
321719.429518.33331.059790.874958
332217.983219.20830.9362211.22336
341619.342120.04170.9650920.827213
352020.538720.08331.022670.973773
36815.581420.33330.7662980.513433
372425.565921.04171.215010.938749
381818.286421.58330.8472480.984336
392821.598621.45831.006541.29638
402520.457521.3750.9570741.22205
411122.478121.91671.025620.489366
423323.529422.45831.047691.4025
433426.419222.95831.150751.28694
442324.772623.3751.059790.928445
451322.001223.50.9362210.590877
462322.277523.08330.9650921.03243
472624.160623.6251.022671.07613
481518.518924.16670.7662980.809984
492928.552823.51.215011.01566
502319.945623.54170.8472481.15314
512624.534424.3751.006541.05974
521723.807224.8750.9570740.714069
533225.6404251.025621.24803
542526.759725.54171.047690.934239
552629.823525.91671.150750.871795
563228.349426.751.059791.12877
572426.721328.54170.9362210.89816
582428.872329.91670.9650920.831245
592831.447230.751.022670.890383
602623.819131.08330.7662981.09156
612738.222331.45831.215010.706393
624526.758931.58330.8472481.68168
634731.873731.66671.006541.47457
642930.506731.8750.9570740.95061
654032.734231.91671.025621.22196
662533.176831.66671.047690.753538
673536.344431.58331.150750.963009
682632.676930.83331.059790.79567
693227.111428.95830.9362211.18032
702127.183428.16670.9650920.77253
713228.336527.70831.022671.12928
721620.913627.29170.7662980.765054
733533.210427.33331.215011.05389
741923.581727.83330.8472480.805708
752828.308928.1251.006540.989089
762926.997528.20830.9570741.07417
772929.101828.3751.025620.996501
782630.033828.66671.047690.865692
793533.707329.29171.150751.03835
803831.30829.54171.059791.21375
812727.696529.58330.9362210.974851
822828.751729.79170.9650920.973855
832931.063730.3751.022670.933567
842623.7553310.7662981.09449
854038.779231.91671.215011.03148
862027.217832.1250.8472480.734812
872831.70631.51.006540.883115
883430.6264320.9570741.11015
893833.8453331.025621.12276
903234.92333.33331.047690.916302
9151NANA1.15075NA
9227NANA1.05979NA
9323NANA0.936221NA
9444NANA0.965092NA
9537NANA1.02267NA
9626NANA0.766298NA



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')