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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 03 Jan 2015 15:06:07 +0000
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/Jan/03/t1420297577sz2j8y2a0cjnvht.htm/, Retrieved Tue, 14 May 2024 04:10:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271906, Retrieved Tue, 14 May 2024 04:10:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-01-03 15:06:07] [062c419fa600f620f2df94d64c8876ba] [Current]
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Dataseries X:
53
47
49
44
48
51
47
44
33
47
41
36
46
24
17
22
30
24
18
24
24
28
19
22
26
14
16
21
15
23
29
17
24
18
22
8
26
22
34
25
20
35
38
24
14
25
31
17
32
27
30
19
36
27
28
38
26
25
30
27
30
50
48
34
41
26
39
33
38
28
36
20
39
22
32
32
31
28
44
40
32
35
32
31
41
23
36
36
42
36
64
30
25
51
38
27




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271906&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]3 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=271906&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271906&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
153NANA1.17577NA
247NANA0.880786NA
349NANA1.03612NA
444NANA0.926979NA
548NANA1.03276NA
651NANA1.00286NA
74752.42744.70831.172640.896485
84445.452643.45831.045890.968041
93338.489541.16670.9349690.857376
104738.758438.91670.9959331.21264
114138.072537.251.022081.07689
123627.352235.3750.7732071.31616
134638.849433.04171.175771.18406
142427.3044310.8807860.87898
151730.867829.79171.036120.550735
162226.534828.6250.9269790.829101
173027.798526.91671.032761.07919
182425.489225.41671.002860.941574
191828.1435241.172640.63958
202423.79422.751.045891.00866
212420.84222.29170.9349691.15152
222822.11822.20830.9959331.26594
231922.017321.54171.022080.862958
242216.140720.8750.7732071.36301
252625.034121.29171.175771.03858
261418.900221.45830.8807860.740733
271621.931321.16671.036120.729552
282119.234820.750.9269791.09177
291521.128620.45831.032760.709938
302320.0571201.002861.14673
312922.768819.41671.172641.27367
321720.656319.751.045890.822992
332419.478520.83330.9349691.23213
341821.661521.750.9959330.830966
352222.613522.1251.022080.97287
36817.654922.83330.7732070.453132
372627.875623.70831.175770.932717
382221.469224.3750.8807861.02473
393425.12624.251.036121.35318
402522.363424.1250.9269791.1179
412025.603924.79171.032760.78113
423525.614625.54171.002861.36641
433830.684226.16671.172641.23842
442427.846826.6251.045890.861858
451424.932526.66670.9349690.561516
462526.143226.250.9959330.95627
473127.255526.66671.022081.13739
481720.8766270.7732070.814309
493230.86426.251.175771.03681
502723.267426.41670.8807861.16042
513028.493427.51.036121.05288
521925.9554280.9269790.732024
533628.874327.95831.032761.24678
542728.414228.33331.002860.950228
552833.615828.66671.172640.832942
563830.897329.54171.045891.22988
572629.217831.250.9349690.889869
582532.492332.6250.9959330.769413
593034.197133.45831.022080.877268
602725.999133.6250.7732071.0385
613040.025234.04171.175770.749528
625030.203634.29170.8807861.65543
634835.832634.58331.036121.33956
643432.637435.20830.9269791.04175
654136.749235.58331.032761.11567
662635.643235.54171.002860.729453
673941.775435.6251.172640.933563
683336.431834.83331.045890.905801
693830.854330.9349691.23161
702832.118832.250.9959330.871763
713632.45131.751.022081.10936
722024.291631.41670.7732070.82333
733937.281731.70831.175771.04609
742228.368632.20830.8807860.775504
753233.41532.251.036120.957655
763229.933732.29170.9269791.06903
773133.478732.41671.032760.925961
782832.801732.70831.002860.853613
794438.990433.251.172641.12848
804034.906633.3751.045891.14592
813231.399433.58330.9349691.01913
823533.778733.91670.9959331.03616
833235.304334.54171.022080.906404
843127.3235.33330.7732071.1347
854142.915636.51.175770.955363
862332.515736.91670.8807860.707351
873637.516336.20831.036120.959583
883633.91236.58330.9269791.06157
894238.728637.51.032761.08447
903637.690737.58331.002860.955144
9164NANA1.17264NA
9230NANA1.04589NA
9325NANA0.934969NA
9451NANA0.995933NA
9538NANA1.02208NA
9627NANA0.773207NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 53 & NA & NA & 1.17577 & NA \tabularnewline
2 & 47 & NA & NA & 0.880786 & NA \tabularnewline
3 & 49 & NA & NA & 1.03612 & NA \tabularnewline
4 & 44 & NA & NA & 0.926979 & NA \tabularnewline
5 & 48 & NA & NA & 1.03276 & NA \tabularnewline
6 & 51 & NA & NA & 1.00286 & NA \tabularnewline
7 & 47 & 52.427 & 44.7083 & 1.17264 & 0.896485 \tabularnewline
8 & 44 & 45.4526 & 43.4583 & 1.04589 & 0.968041 \tabularnewline
9 & 33 & 38.4895 & 41.1667 & 0.934969 & 0.857376 \tabularnewline
10 & 47 & 38.7584 & 38.9167 & 0.995933 & 1.21264 \tabularnewline
11 & 41 & 38.0725 & 37.25 & 1.02208 & 1.07689 \tabularnewline
12 & 36 & 27.3522 & 35.375 & 0.773207 & 1.31616 \tabularnewline
13 & 46 & 38.8494 & 33.0417 & 1.17577 & 1.18406 \tabularnewline
14 & 24 & 27.3044 & 31 & 0.880786 & 0.87898 \tabularnewline
15 & 17 & 30.8678 & 29.7917 & 1.03612 & 0.550735 \tabularnewline
16 & 22 & 26.5348 & 28.625 & 0.926979 & 0.829101 \tabularnewline
17 & 30 & 27.7985 & 26.9167 & 1.03276 & 1.07919 \tabularnewline
18 & 24 & 25.4892 & 25.4167 & 1.00286 & 0.941574 \tabularnewline
19 & 18 & 28.1435 & 24 & 1.17264 & 0.63958 \tabularnewline
20 & 24 & 23.794 & 22.75 & 1.04589 & 1.00866 \tabularnewline
21 & 24 & 20.842 & 22.2917 & 0.934969 & 1.15152 \tabularnewline
22 & 28 & 22.118 & 22.2083 & 0.995933 & 1.26594 \tabularnewline
23 & 19 & 22.0173 & 21.5417 & 1.02208 & 0.862958 \tabularnewline
24 & 22 & 16.1407 & 20.875 & 0.773207 & 1.36301 \tabularnewline
25 & 26 & 25.0341 & 21.2917 & 1.17577 & 1.03858 \tabularnewline
26 & 14 & 18.9002 & 21.4583 & 0.880786 & 0.740733 \tabularnewline
27 & 16 & 21.9313 & 21.1667 & 1.03612 & 0.729552 \tabularnewline
28 & 21 & 19.2348 & 20.75 & 0.926979 & 1.09177 \tabularnewline
29 & 15 & 21.1286 & 20.4583 & 1.03276 & 0.709938 \tabularnewline
30 & 23 & 20.0571 & 20 & 1.00286 & 1.14673 \tabularnewline
31 & 29 & 22.7688 & 19.4167 & 1.17264 & 1.27367 \tabularnewline
32 & 17 & 20.6563 & 19.75 & 1.04589 & 0.822992 \tabularnewline
33 & 24 & 19.4785 & 20.8333 & 0.934969 & 1.23213 \tabularnewline
34 & 18 & 21.6615 & 21.75 & 0.995933 & 0.830966 \tabularnewline
35 & 22 & 22.6135 & 22.125 & 1.02208 & 0.97287 \tabularnewline
36 & 8 & 17.6549 & 22.8333 & 0.773207 & 0.453132 \tabularnewline
37 & 26 & 27.8756 & 23.7083 & 1.17577 & 0.932717 \tabularnewline
38 & 22 & 21.4692 & 24.375 & 0.880786 & 1.02473 \tabularnewline
39 & 34 & 25.126 & 24.25 & 1.03612 & 1.35318 \tabularnewline
40 & 25 & 22.3634 & 24.125 & 0.926979 & 1.1179 \tabularnewline
41 & 20 & 25.6039 & 24.7917 & 1.03276 & 0.78113 \tabularnewline
42 & 35 & 25.6146 & 25.5417 & 1.00286 & 1.36641 \tabularnewline
43 & 38 & 30.6842 & 26.1667 & 1.17264 & 1.23842 \tabularnewline
44 & 24 & 27.8468 & 26.625 & 1.04589 & 0.861858 \tabularnewline
45 & 14 & 24.9325 & 26.6667 & 0.934969 & 0.561516 \tabularnewline
46 & 25 & 26.1432 & 26.25 & 0.995933 & 0.95627 \tabularnewline
47 & 31 & 27.2555 & 26.6667 & 1.02208 & 1.13739 \tabularnewline
48 & 17 & 20.8766 & 27 & 0.773207 & 0.814309 \tabularnewline
49 & 32 & 30.864 & 26.25 & 1.17577 & 1.03681 \tabularnewline
50 & 27 & 23.2674 & 26.4167 & 0.880786 & 1.16042 \tabularnewline
51 & 30 & 28.4934 & 27.5 & 1.03612 & 1.05288 \tabularnewline
52 & 19 & 25.9554 & 28 & 0.926979 & 0.732024 \tabularnewline
53 & 36 & 28.8743 & 27.9583 & 1.03276 & 1.24678 \tabularnewline
54 & 27 & 28.4142 & 28.3333 & 1.00286 & 0.950228 \tabularnewline
55 & 28 & 33.6158 & 28.6667 & 1.17264 & 0.832942 \tabularnewline
56 & 38 & 30.8973 & 29.5417 & 1.04589 & 1.22988 \tabularnewline
57 & 26 & 29.2178 & 31.25 & 0.934969 & 0.889869 \tabularnewline
58 & 25 & 32.4923 & 32.625 & 0.995933 & 0.769413 \tabularnewline
59 & 30 & 34.1971 & 33.4583 & 1.02208 & 0.877268 \tabularnewline
60 & 27 & 25.9991 & 33.625 & 0.773207 & 1.0385 \tabularnewline
61 & 30 & 40.0252 & 34.0417 & 1.17577 & 0.749528 \tabularnewline
62 & 50 & 30.2036 & 34.2917 & 0.880786 & 1.65543 \tabularnewline
63 & 48 & 35.8326 & 34.5833 & 1.03612 & 1.33956 \tabularnewline
64 & 34 & 32.6374 & 35.2083 & 0.926979 & 1.04175 \tabularnewline
65 & 41 & 36.7492 & 35.5833 & 1.03276 & 1.11567 \tabularnewline
66 & 26 & 35.6432 & 35.5417 & 1.00286 & 0.729453 \tabularnewline
67 & 39 & 41.7754 & 35.625 & 1.17264 & 0.933563 \tabularnewline
68 & 33 & 36.4318 & 34.8333 & 1.04589 & 0.905801 \tabularnewline
69 & 38 & 30.854 & 33 & 0.934969 & 1.23161 \tabularnewline
70 & 28 & 32.1188 & 32.25 & 0.995933 & 0.871763 \tabularnewline
71 & 36 & 32.451 & 31.75 & 1.02208 & 1.10936 \tabularnewline
72 & 20 & 24.2916 & 31.4167 & 0.773207 & 0.82333 \tabularnewline
73 & 39 & 37.2817 & 31.7083 & 1.17577 & 1.04609 \tabularnewline
74 & 22 & 28.3686 & 32.2083 & 0.880786 & 0.775504 \tabularnewline
75 & 32 & 33.415 & 32.25 & 1.03612 & 0.957655 \tabularnewline
76 & 32 & 29.9337 & 32.2917 & 0.926979 & 1.06903 \tabularnewline
77 & 31 & 33.4787 & 32.4167 & 1.03276 & 0.925961 \tabularnewline
78 & 28 & 32.8017 & 32.7083 & 1.00286 & 0.853613 \tabularnewline
79 & 44 & 38.9904 & 33.25 & 1.17264 & 1.12848 \tabularnewline
80 & 40 & 34.9066 & 33.375 & 1.04589 & 1.14592 \tabularnewline
81 & 32 & 31.3994 & 33.5833 & 0.934969 & 1.01913 \tabularnewline
82 & 35 & 33.7787 & 33.9167 & 0.995933 & 1.03616 \tabularnewline
83 & 32 & 35.3043 & 34.5417 & 1.02208 & 0.906404 \tabularnewline
84 & 31 & 27.32 & 35.3333 & 0.773207 & 1.1347 \tabularnewline
85 & 41 & 42.9156 & 36.5 & 1.17577 & 0.955363 \tabularnewline
86 & 23 & 32.5157 & 36.9167 & 0.880786 & 0.707351 \tabularnewline
87 & 36 & 37.5163 & 36.2083 & 1.03612 & 0.959583 \tabularnewline
88 & 36 & 33.912 & 36.5833 & 0.926979 & 1.06157 \tabularnewline
89 & 42 & 38.7286 & 37.5 & 1.03276 & 1.08447 \tabularnewline
90 & 36 & 37.6907 & 37.5833 & 1.00286 & 0.955144 \tabularnewline
91 & 64 & NA & NA & 1.17264 & NA \tabularnewline
92 & 30 & NA & NA & 1.04589 & NA \tabularnewline
93 & 25 & NA & NA & 0.934969 & NA \tabularnewline
94 & 51 & NA & NA & 0.995933 & NA \tabularnewline
95 & 38 & NA & NA & 1.02208 & NA \tabularnewline
96 & 27 & NA & NA & 0.773207 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271906&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]53[/C][C]NA[/C][C]NA[/C][C]1.17577[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]47[/C][C]NA[/C][C]NA[/C][C]0.880786[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]49[/C][C]NA[/C][C]NA[/C][C]1.03612[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]44[/C][C]NA[/C][C]NA[/C][C]0.926979[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]48[/C][C]NA[/C][C]NA[/C][C]1.03276[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]51[/C][C]NA[/C][C]NA[/C][C]1.00286[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]47[/C][C]52.427[/C][C]44.7083[/C][C]1.17264[/C][C]0.896485[/C][/ROW]
[ROW][C]8[/C][C]44[/C][C]45.4526[/C][C]43.4583[/C][C]1.04589[/C][C]0.968041[/C][/ROW]
[ROW][C]9[/C][C]33[/C][C]38.4895[/C][C]41.1667[/C][C]0.934969[/C][C]0.857376[/C][/ROW]
[ROW][C]10[/C][C]47[/C][C]38.7584[/C][C]38.9167[/C][C]0.995933[/C][C]1.21264[/C][/ROW]
[ROW][C]11[/C][C]41[/C][C]38.0725[/C][C]37.25[/C][C]1.02208[/C][C]1.07689[/C][/ROW]
[ROW][C]12[/C][C]36[/C][C]27.3522[/C][C]35.375[/C][C]0.773207[/C][C]1.31616[/C][/ROW]
[ROW][C]13[/C][C]46[/C][C]38.8494[/C][C]33.0417[/C][C]1.17577[/C][C]1.18406[/C][/ROW]
[ROW][C]14[/C][C]24[/C][C]27.3044[/C][C]31[/C][C]0.880786[/C][C]0.87898[/C][/ROW]
[ROW][C]15[/C][C]17[/C][C]30.8678[/C][C]29.7917[/C][C]1.03612[/C][C]0.550735[/C][/ROW]
[ROW][C]16[/C][C]22[/C][C]26.5348[/C][C]28.625[/C][C]0.926979[/C][C]0.829101[/C][/ROW]
[ROW][C]17[/C][C]30[/C][C]27.7985[/C][C]26.9167[/C][C]1.03276[/C][C]1.07919[/C][/ROW]
[ROW][C]18[/C][C]24[/C][C]25.4892[/C][C]25.4167[/C][C]1.00286[/C][C]0.941574[/C][/ROW]
[ROW][C]19[/C][C]18[/C][C]28.1435[/C][C]24[/C][C]1.17264[/C][C]0.63958[/C][/ROW]
[ROW][C]20[/C][C]24[/C][C]23.794[/C][C]22.75[/C][C]1.04589[/C][C]1.00866[/C][/ROW]
[ROW][C]21[/C][C]24[/C][C]20.842[/C][C]22.2917[/C][C]0.934969[/C][C]1.15152[/C][/ROW]
[ROW][C]22[/C][C]28[/C][C]22.118[/C][C]22.2083[/C][C]0.995933[/C][C]1.26594[/C][/ROW]
[ROW][C]23[/C][C]19[/C][C]22.0173[/C][C]21.5417[/C][C]1.02208[/C][C]0.862958[/C][/ROW]
[ROW][C]24[/C][C]22[/C][C]16.1407[/C][C]20.875[/C][C]0.773207[/C][C]1.36301[/C][/ROW]
[ROW][C]25[/C][C]26[/C][C]25.0341[/C][C]21.2917[/C][C]1.17577[/C][C]1.03858[/C][/ROW]
[ROW][C]26[/C][C]14[/C][C]18.9002[/C][C]21.4583[/C][C]0.880786[/C][C]0.740733[/C][/ROW]
[ROW][C]27[/C][C]16[/C][C]21.9313[/C][C]21.1667[/C][C]1.03612[/C][C]0.729552[/C][/ROW]
[ROW][C]28[/C][C]21[/C][C]19.2348[/C][C]20.75[/C][C]0.926979[/C][C]1.09177[/C][/ROW]
[ROW][C]29[/C][C]15[/C][C]21.1286[/C][C]20.4583[/C][C]1.03276[/C][C]0.709938[/C][/ROW]
[ROW][C]30[/C][C]23[/C][C]20.0571[/C][C]20[/C][C]1.00286[/C][C]1.14673[/C][/ROW]
[ROW][C]31[/C][C]29[/C][C]22.7688[/C][C]19.4167[/C][C]1.17264[/C][C]1.27367[/C][/ROW]
[ROW][C]32[/C][C]17[/C][C]20.6563[/C][C]19.75[/C][C]1.04589[/C][C]0.822992[/C][/ROW]
[ROW][C]33[/C][C]24[/C][C]19.4785[/C][C]20.8333[/C][C]0.934969[/C][C]1.23213[/C][/ROW]
[ROW][C]34[/C][C]18[/C][C]21.6615[/C][C]21.75[/C][C]0.995933[/C][C]0.830966[/C][/ROW]
[ROW][C]35[/C][C]22[/C][C]22.6135[/C][C]22.125[/C][C]1.02208[/C][C]0.97287[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]17.6549[/C][C]22.8333[/C][C]0.773207[/C][C]0.453132[/C][/ROW]
[ROW][C]37[/C][C]26[/C][C]27.8756[/C][C]23.7083[/C][C]1.17577[/C][C]0.932717[/C][/ROW]
[ROW][C]38[/C][C]22[/C][C]21.4692[/C][C]24.375[/C][C]0.880786[/C][C]1.02473[/C][/ROW]
[ROW][C]39[/C][C]34[/C][C]25.126[/C][C]24.25[/C][C]1.03612[/C][C]1.35318[/C][/ROW]
[ROW][C]40[/C][C]25[/C][C]22.3634[/C][C]24.125[/C][C]0.926979[/C][C]1.1179[/C][/ROW]
[ROW][C]41[/C][C]20[/C][C]25.6039[/C][C]24.7917[/C][C]1.03276[/C][C]0.78113[/C][/ROW]
[ROW][C]42[/C][C]35[/C][C]25.6146[/C][C]25.5417[/C][C]1.00286[/C][C]1.36641[/C][/ROW]
[ROW][C]43[/C][C]38[/C][C]30.6842[/C][C]26.1667[/C][C]1.17264[/C][C]1.23842[/C][/ROW]
[ROW][C]44[/C][C]24[/C][C]27.8468[/C][C]26.625[/C][C]1.04589[/C][C]0.861858[/C][/ROW]
[ROW][C]45[/C][C]14[/C][C]24.9325[/C][C]26.6667[/C][C]0.934969[/C][C]0.561516[/C][/ROW]
[ROW][C]46[/C][C]25[/C][C]26.1432[/C][C]26.25[/C][C]0.995933[/C][C]0.95627[/C][/ROW]
[ROW][C]47[/C][C]31[/C][C]27.2555[/C][C]26.6667[/C][C]1.02208[/C][C]1.13739[/C][/ROW]
[ROW][C]48[/C][C]17[/C][C]20.8766[/C][C]27[/C][C]0.773207[/C][C]0.814309[/C][/ROW]
[ROW][C]49[/C][C]32[/C][C]30.864[/C][C]26.25[/C][C]1.17577[/C][C]1.03681[/C][/ROW]
[ROW][C]50[/C][C]27[/C][C]23.2674[/C][C]26.4167[/C][C]0.880786[/C][C]1.16042[/C][/ROW]
[ROW][C]51[/C][C]30[/C][C]28.4934[/C][C]27.5[/C][C]1.03612[/C][C]1.05288[/C][/ROW]
[ROW][C]52[/C][C]19[/C][C]25.9554[/C][C]28[/C][C]0.926979[/C][C]0.732024[/C][/ROW]
[ROW][C]53[/C][C]36[/C][C]28.8743[/C][C]27.9583[/C][C]1.03276[/C][C]1.24678[/C][/ROW]
[ROW][C]54[/C][C]27[/C][C]28.4142[/C][C]28.3333[/C][C]1.00286[/C][C]0.950228[/C][/ROW]
[ROW][C]55[/C][C]28[/C][C]33.6158[/C][C]28.6667[/C][C]1.17264[/C][C]0.832942[/C][/ROW]
[ROW][C]56[/C][C]38[/C][C]30.8973[/C][C]29.5417[/C][C]1.04589[/C][C]1.22988[/C][/ROW]
[ROW][C]57[/C][C]26[/C][C]29.2178[/C][C]31.25[/C][C]0.934969[/C][C]0.889869[/C][/ROW]
[ROW][C]58[/C][C]25[/C][C]32.4923[/C][C]32.625[/C][C]0.995933[/C][C]0.769413[/C][/ROW]
[ROW][C]59[/C][C]30[/C][C]34.1971[/C][C]33.4583[/C][C]1.02208[/C][C]0.877268[/C][/ROW]
[ROW][C]60[/C][C]27[/C][C]25.9991[/C][C]33.625[/C][C]0.773207[/C][C]1.0385[/C][/ROW]
[ROW][C]61[/C][C]30[/C][C]40.0252[/C][C]34.0417[/C][C]1.17577[/C][C]0.749528[/C][/ROW]
[ROW][C]62[/C][C]50[/C][C]30.2036[/C][C]34.2917[/C][C]0.880786[/C][C]1.65543[/C][/ROW]
[ROW][C]63[/C][C]48[/C][C]35.8326[/C][C]34.5833[/C][C]1.03612[/C][C]1.33956[/C][/ROW]
[ROW][C]64[/C][C]34[/C][C]32.6374[/C][C]35.2083[/C][C]0.926979[/C][C]1.04175[/C][/ROW]
[ROW][C]65[/C][C]41[/C][C]36.7492[/C][C]35.5833[/C][C]1.03276[/C][C]1.11567[/C][/ROW]
[ROW][C]66[/C][C]26[/C][C]35.6432[/C][C]35.5417[/C][C]1.00286[/C][C]0.729453[/C][/ROW]
[ROW][C]67[/C][C]39[/C][C]41.7754[/C][C]35.625[/C][C]1.17264[/C][C]0.933563[/C][/ROW]
[ROW][C]68[/C][C]33[/C][C]36.4318[/C][C]34.8333[/C][C]1.04589[/C][C]0.905801[/C][/ROW]
[ROW][C]69[/C][C]38[/C][C]30.854[/C][C]33[/C][C]0.934969[/C][C]1.23161[/C][/ROW]
[ROW][C]70[/C][C]28[/C][C]32.1188[/C][C]32.25[/C][C]0.995933[/C][C]0.871763[/C][/ROW]
[ROW][C]71[/C][C]36[/C][C]32.451[/C][C]31.75[/C][C]1.02208[/C][C]1.10936[/C][/ROW]
[ROW][C]72[/C][C]20[/C][C]24.2916[/C][C]31.4167[/C][C]0.773207[/C][C]0.82333[/C][/ROW]
[ROW][C]73[/C][C]39[/C][C]37.2817[/C][C]31.7083[/C][C]1.17577[/C][C]1.04609[/C][/ROW]
[ROW][C]74[/C][C]22[/C][C]28.3686[/C][C]32.2083[/C][C]0.880786[/C][C]0.775504[/C][/ROW]
[ROW][C]75[/C][C]32[/C][C]33.415[/C][C]32.25[/C][C]1.03612[/C][C]0.957655[/C][/ROW]
[ROW][C]76[/C][C]32[/C][C]29.9337[/C][C]32.2917[/C][C]0.926979[/C][C]1.06903[/C][/ROW]
[ROW][C]77[/C][C]31[/C][C]33.4787[/C][C]32.4167[/C][C]1.03276[/C][C]0.925961[/C][/ROW]
[ROW][C]78[/C][C]28[/C][C]32.8017[/C][C]32.7083[/C][C]1.00286[/C][C]0.853613[/C][/ROW]
[ROW][C]79[/C][C]44[/C][C]38.9904[/C][C]33.25[/C][C]1.17264[/C][C]1.12848[/C][/ROW]
[ROW][C]80[/C][C]40[/C][C]34.9066[/C][C]33.375[/C][C]1.04589[/C][C]1.14592[/C][/ROW]
[ROW][C]81[/C][C]32[/C][C]31.3994[/C][C]33.5833[/C][C]0.934969[/C][C]1.01913[/C][/ROW]
[ROW][C]82[/C][C]35[/C][C]33.7787[/C][C]33.9167[/C][C]0.995933[/C][C]1.03616[/C][/ROW]
[ROW][C]83[/C][C]32[/C][C]35.3043[/C][C]34.5417[/C][C]1.02208[/C][C]0.906404[/C][/ROW]
[ROW][C]84[/C][C]31[/C][C]27.32[/C][C]35.3333[/C][C]0.773207[/C][C]1.1347[/C][/ROW]
[ROW][C]85[/C][C]41[/C][C]42.9156[/C][C]36.5[/C][C]1.17577[/C][C]0.955363[/C][/ROW]
[ROW][C]86[/C][C]23[/C][C]32.5157[/C][C]36.9167[/C][C]0.880786[/C][C]0.707351[/C][/ROW]
[ROW][C]87[/C][C]36[/C][C]37.5163[/C][C]36.2083[/C][C]1.03612[/C][C]0.959583[/C][/ROW]
[ROW][C]88[/C][C]36[/C][C]33.912[/C][C]36.5833[/C][C]0.926979[/C][C]1.06157[/C][/ROW]
[ROW][C]89[/C][C]42[/C][C]38.7286[/C][C]37.5[/C][C]1.03276[/C][C]1.08447[/C][/ROW]
[ROW][C]90[/C][C]36[/C][C]37.6907[/C][C]37.5833[/C][C]1.00286[/C][C]0.955144[/C][/ROW]
[ROW][C]91[/C][C]64[/C][C]NA[/C][C]NA[/C][C]1.17264[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]30[/C][C]NA[/C][C]NA[/C][C]1.04589[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]25[/C][C]NA[/C][C]NA[/C][C]0.934969[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]51[/C][C]NA[/C][C]NA[/C][C]0.995933[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]38[/C][C]NA[/C][C]NA[/C][C]1.02208[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]27[/C][C]NA[/C][C]NA[/C][C]0.773207[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271906&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271906&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
153NANA1.17577NA
247NANA0.880786NA
349NANA1.03612NA
444NANA0.926979NA
548NANA1.03276NA
651NANA1.00286NA
74752.42744.70831.172640.896485
84445.452643.45831.045890.968041
93338.489541.16670.9349690.857376
104738.758438.91670.9959331.21264
114138.072537.251.022081.07689
123627.352235.3750.7732071.31616
134638.849433.04171.175771.18406
142427.3044310.8807860.87898
151730.867829.79171.036120.550735
162226.534828.6250.9269790.829101
173027.798526.91671.032761.07919
182425.489225.41671.002860.941574
191828.1435241.172640.63958
202423.79422.751.045891.00866
212420.84222.29170.9349691.15152
222822.11822.20830.9959331.26594
231922.017321.54171.022080.862958
242216.140720.8750.7732071.36301
252625.034121.29171.175771.03858
261418.900221.45830.8807860.740733
271621.931321.16671.036120.729552
282119.234820.750.9269791.09177
291521.128620.45831.032760.709938
302320.0571201.002861.14673
312922.768819.41671.172641.27367
321720.656319.751.045890.822992
332419.478520.83330.9349691.23213
341821.661521.750.9959330.830966
352222.613522.1251.022080.97287
36817.654922.83330.7732070.453132
372627.875623.70831.175770.932717
382221.469224.3750.8807861.02473
393425.12624.251.036121.35318
402522.363424.1250.9269791.1179
412025.603924.79171.032760.78113
423525.614625.54171.002861.36641
433830.684226.16671.172641.23842
442427.846826.6251.045890.861858
451424.932526.66670.9349690.561516
462526.143226.250.9959330.95627
473127.255526.66671.022081.13739
481720.8766270.7732070.814309
493230.86426.251.175771.03681
502723.267426.41670.8807861.16042
513028.493427.51.036121.05288
521925.9554280.9269790.732024
533628.874327.95831.032761.24678
542728.414228.33331.002860.950228
552833.615828.66671.172640.832942
563830.897329.54171.045891.22988
572629.217831.250.9349690.889869
582532.492332.6250.9959330.769413
593034.197133.45831.022080.877268
602725.999133.6250.7732071.0385
613040.025234.04171.175770.749528
625030.203634.29170.8807861.65543
634835.832634.58331.036121.33956
643432.637435.20830.9269791.04175
654136.749235.58331.032761.11567
662635.643235.54171.002860.729453
673941.775435.6251.172640.933563
683336.431834.83331.045890.905801
693830.854330.9349691.23161
702832.118832.250.9959330.871763
713632.45131.751.022081.10936
722024.291631.41670.7732070.82333
733937.281731.70831.175771.04609
742228.368632.20830.8807860.775504
753233.41532.251.036120.957655
763229.933732.29170.9269791.06903
773133.478732.41671.032760.925961
782832.801732.70831.002860.853613
794438.990433.251.172641.12848
804034.906633.3751.045891.14592
813231.399433.58330.9349691.01913
823533.778733.91670.9959331.03616
833235.304334.54171.022080.906404
843127.3235.33330.7732071.1347
854142.915636.51.175770.955363
862332.515736.91670.8807860.707351
873637.516336.20831.036120.959583
883633.91236.58330.9269791.06157
894238.728637.51.032761.08447
903637.690737.58331.002860.955144
9164NANA1.17264NA
9230NANA1.04589NA
9325NANA0.934969NA
9451NANA0.995933NA
9538NANA1.02208NA
9627NANA0.773207NA



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')