Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Dec 2011 11:38:53 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t13238807875hgwo69ieopxy4s.htm/, Retrieved Wed, 01 May 2024 19:28:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155124, Retrieved Wed, 01 May 2024 19:28:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W92
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [opdracht 9 oef2] [2011-12-14 16:38:53] [3a5148fa0f21767f499340b81dfb0928] [Current]
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Dataseries X:
63.6900
63.6900
63.6900
63.6900
63.6900
63.6900
63.6900
63.6900
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
65.0300
101.16
101.16
101.16
101.16
101.16
101.16
101.16
101.16
101.16
101.21
101.21
101.21
103.16
103.16
103.16
103.16
101.13
101.13
100.53
100.53
100.53
100.53
100.53
100.53
100.53
100.53
100.53
99.42
99.42
99.42
99.42
100.31
100.31
102.25
102.25
102.25
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.81
101.94
101.94
101.94
101.94
101.94




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155124&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155124&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155124&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'AstonUniversity' @ aston.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
163.69NANA3.09655671296296NA
263.69NANA2.56620949074074NA
363.69NANA2.0442650462963NA
463.69NANA1.34662615740741NA
563.69NANA0.495653935185185NA
663.69NANA-0.0169849537037015NA
763.6963.48905671296364.1925-0.7034432870370360.200943287037049
863.6963.219612268518564.3041666666666-1.084554398148140.470387731481495
965.0363.02516782407464.4158333333333-1.390665509259262.00483217592596
1065.0362.93905671296364.5275-1.588443287037042.09094328703705
1165.0362.521278935185264.6391666666667-2.117887731481492.50872106481484
1265.0362.103501157407464.7508333333333-2.647332175925932.92649884259259
1365.0367.95905671296364.86253.09655671296296-2.92905671296296
1465.0367.540376157407464.97416666666672.56620949074074-2.51037615740741
1565.0367.074265046296365.032.0442650462963-2.0442650462963
1665.0366.376626157407465.031.34662615740741-1.34662615740741
1765.0365.525653935185265.030.495653935185185-0.495653935185189
1865.0365.013015046296365.03-0.01698495370370150.0169849537036981
1965.0365.831973379629666.5354166666667-0.703443287037036-0.801973379629644
2065.0368.461695601851969.54625-1.08455439814814-3.43169560185186
2165.0371.166417824074172.5570833333333-1.39066550925926-6.13641782407407
2265.0373.979473379629675.5679166666667-1.58844328703704-8.94947337962964
2365.0376.460862268518578.57875-2.11788773148149-11.4308622685185
2465.0378.942251157407481.5895833333333-2.64733217592593-13.9122511574074
25101.1687.696973379629684.60041666666673.0965567129629613.4630266203704
26101.1690.177459490740787.611252.5662094907407410.9825405092593
27101.1692.666348379629690.62208333333332.04426504629638.49365162037036
28101.1694.981626157407493.6351.346626157407416.17837384259259
29101.1697.145653935185296.650.4956539351851854.0143460648148
30101.1699.648015046296399.665-0.01698495370370151.51198495370369
31101.16100.552390046296101.255833333333-0.7034432870370360.607609953703673
32101.16100.337945601852101.4225-1.084554398148140.822054398148126
33101.16100.198501157407101.589166666667-1.390665509259260.961498842592562
34101.21100.167390046296101.755833333333-1.588443287037041.04260995370367
35101.2199.7200289351852101.837916666667-2.117887731481491.48997106481478
36101.2199.1880844907407101.835416666667-2.647332175925932.02191550925924
37103.16104.90447337963101.8079166666673.09655671296296-1.74447337962964
38103.16104.321626157407101.7554166666672.56620949074074-1.16162615740741
39103.16103.747181712963101.7029166666672.0442650462963-0.587181712962973
40103.16102.994959490741101.6483333333331.346626157407410.165040509259271
41101.13102.087320601852101.5916666666670.495653935185185-0.957320601851848
42101.13101.518015046296101.535-0.0169849537037015-0.388015046296289
43100.53100.693640046296101.397083333333-0.703443287037036-0.16364004629628
44100.53100.093362268519101.177916666667-1.084554398148140.436637731481497
45100.5399.5680844907407100.95875-1.390665509259260.961915509259285
46100.5399.1048900462963100.693333333333-1.588443287037041.42510995370372
47100.5398.3483622685185100.46625-2.117887731481492.1816377314815
48100.5397.676417824074100.32375-2.647332175925932.85358217592594
49100.53103.302806712963100.206253.09655671296296-2.77280671296295
50100.53102.717042824074100.1508333333332.56620949074074-2.18704282407407
51100.53102.176765046296100.13252.0442650462963-1.64676504629628
5299.42101.541626157407100.1951.34662615740741-2.12162615740738
5399.42100.833987268518100.3383333333330.495653935185185-1.4139872685185
5499.42100.464681712963100.481666666667-0.0169849537037015-1.04468171296294
5599.4299.9032233796296100.606666666667-0.703443287037036-0.483223379629607
56100.3199.6287789351852100.713333333333-1.084554398148140.681221064814835
57100.3199.4293344907407100.82-1.390665509259260.880665509259288
58102.2599.3844733796296100.972916666667-1.588443287037042.86552662037039
59102.2599.0541956018518101.172083333333-2.117887731481493.19580439814817
60102.2598.723917824074101.37125-2.647332175925933.52608217592594
61101.81104.66697337963101.5704166666673.09655671296296-2.85697337962962
62101.81104.298709490741101.73252.56620949074074-2.48870949074073
63101.81103.901765046296101.85752.0442650462963-2.09176504629629
64101.81103.248292824074101.9016666666671.34662615740741-1.43829282407407
65101.81102.360653935185101.8650.495653935185185-0.550653935185196
66101.81101.81134837963101.828333333333-0.0169849537037015-0.00134837962964696
67101.81101.106556712963101.81-0.7034432870370360.703443287037032
68101.81100.725445601852101.81-1.084554398148141.08455439814814
69101.81100.419334490741101.81-1.390665509259261.39066550925926
70101.81100.221556712963101.81-1.588443287037041.58844328703704
71101.8199.6921122685185101.81-2.117887731481492.11788773148149
72101.8199.162667824074101.81-2.647332175925932.64733217592592
73101.81104.906556712963101.813.09655671296296-3.09655671296296
74101.81104.381626157407101.8154166666672.56620949074074-2.57162615740741
75101.81103.870515046296101.826252.0442650462963-2.06051504629629
76101.81103.183709490741101.8370833333331.34662615740741-1.37370949074074
77101.81102.343570601852101.8479166666670.495653935185185-0.533570601851849
78101.81101.841765046296101.85875-0.0169849537037015-0.031765046296286
79101.81NANA-0.703443287037036NA
80101.94NANA-1.08455439814814NA
81101.94NANA-1.39066550925926NA
82101.94NANA-1.58844328703704NA
83101.94NANA-2.11788773148149NA
84101.94NANA-2.64733217592593NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 63.69 & NA & NA & 3.09655671296296 & NA \tabularnewline
2 & 63.69 & NA & NA & 2.56620949074074 & NA \tabularnewline
3 & 63.69 & NA & NA & 2.0442650462963 & NA \tabularnewline
4 & 63.69 & NA & NA & 1.34662615740741 & NA \tabularnewline
5 & 63.69 & NA & NA & 0.495653935185185 & NA \tabularnewline
6 & 63.69 & NA & NA & -0.0169849537037015 & NA \tabularnewline
7 & 63.69 & 63.489056712963 & 64.1925 & -0.703443287037036 & 0.200943287037049 \tabularnewline
8 & 63.69 & 63.2196122685185 & 64.3041666666666 & -1.08455439814814 & 0.470387731481495 \tabularnewline
9 & 65.03 & 63.025167824074 & 64.4158333333333 & -1.39066550925926 & 2.00483217592596 \tabularnewline
10 & 65.03 & 62.939056712963 & 64.5275 & -1.58844328703704 & 2.09094328703705 \tabularnewline
11 & 65.03 & 62.5212789351852 & 64.6391666666667 & -2.11788773148149 & 2.50872106481484 \tabularnewline
12 & 65.03 & 62.1035011574074 & 64.7508333333333 & -2.64733217592593 & 2.92649884259259 \tabularnewline
13 & 65.03 & 67.959056712963 & 64.8625 & 3.09655671296296 & -2.92905671296296 \tabularnewline
14 & 65.03 & 67.5403761574074 & 64.9741666666667 & 2.56620949074074 & -2.51037615740741 \tabularnewline
15 & 65.03 & 67.0742650462963 & 65.03 & 2.0442650462963 & -2.0442650462963 \tabularnewline
16 & 65.03 & 66.3766261574074 & 65.03 & 1.34662615740741 & -1.34662615740741 \tabularnewline
17 & 65.03 & 65.5256539351852 & 65.03 & 0.495653935185185 & -0.495653935185189 \tabularnewline
18 & 65.03 & 65.0130150462963 & 65.03 & -0.0169849537037015 & 0.0169849537036981 \tabularnewline
19 & 65.03 & 65.8319733796296 & 66.5354166666667 & -0.703443287037036 & -0.801973379629644 \tabularnewline
20 & 65.03 & 68.4616956018519 & 69.54625 & -1.08455439814814 & -3.43169560185186 \tabularnewline
21 & 65.03 & 71.1664178240741 & 72.5570833333333 & -1.39066550925926 & -6.13641782407407 \tabularnewline
22 & 65.03 & 73.9794733796296 & 75.5679166666667 & -1.58844328703704 & -8.94947337962964 \tabularnewline
23 & 65.03 & 76.4608622685185 & 78.57875 & -2.11788773148149 & -11.4308622685185 \tabularnewline
24 & 65.03 & 78.9422511574074 & 81.5895833333333 & -2.64733217592593 & -13.9122511574074 \tabularnewline
25 & 101.16 & 87.6969733796296 & 84.6004166666667 & 3.09655671296296 & 13.4630266203704 \tabularnewline
26 & 101.16 & 90.1774594907407 & 87.61125 & 2.56620949074074 & 10.9825405092593 \tabularnewline
27 & 101.16 & 92.6663483796296 & 90.6220833333333 & 2.0442650462963 & 8.49365162037036 \tabularnewline
28 & 101.16 & 94.9816261574074 & 93.635 & 1.34662615740741 & 6.17837384259259 \tabularnewline
29 & 101.16 & 97.1456539351852 & 96.65 & 0.495653935185185 & 4.0143460648148 \tabularnewline
30 & 101.16 & 99.6480150462963 & 99.665 & -0.0169849537037015 & 1.51198495370369 \tabularnewline
31 & 101.16 & 100.552390046296 & 101.255833333333 & -0.703443287037036 & 0.607609953703673 \tabularnewline
32 & 101.16 & 100.337945601852 & 101.4225 & -1.08455439814814 & 0.822054398148126 \tabularnewline
33 & 101.16 & 100.198501157407 & 101.589166666667 & -1.39066550925926 & 0.961498842592562 \tabularnewline
34 & 101.21 & 100.167390046296 & 101.755833333333 & -1.58844328703704 & 1.04260995370367 \tabularnewline
35 & 101.21 & 99.7200289351852 & 101.837916666667 & -2.11788773148149 & 1.48997106481478 \tabularnewline
36 & 101.21 & 99.1880844907407 & 101.835416666667 & -2.64733217592593 & 2.02191550925924 \tabularnewline
37 & 103.16 & 104.90447337963 & 101.807916666667 & 3.09655671296296 & -1.74447337962964 \tabularnewline
38 & 103.16 & 104.321626157407 & 101.755416666667 & 2.56620949074074 & -1.16162615740741 \tabularnewline
39 & 103.16 & 103.747181712963 & 101.702916666667 & 2.0442650462963 & -0.587181712962973 \tabularnewline
40 & 103.16 & 102.994959490741 & 101.648333333333 & 1.34662615740741 & 0.165040509259271 \tabularnewline
41 & 101.13 & 102.087320601852 & 101.591666666667 & 0.495653935185185 & -0.957320601851848 \tabularnewline
42 & 101.13 & 101.518015046296 & 101.535 & -0.0169849537037015 & -0.388015046296289 \tabularnewline
43 & 100.53 & 100.693640046296 & 101.397083333333 & -0.703443287037036 & -0.16364004629628 \tabularnewline
44 & 100.53 & 100.093362268519 & 101.177916666667 & -1.08455439814814 & 0.436637731481497 \tabularnewline
45 & 100.53 & 99.5680844907407 & 100.95875 & -1.39066550925926 & 0.961915509259285 \tabularnewline
46 & 100.53 & 99.1048900462963 & 100.693333333333 & -1.58844328703704 & 1.42510995370372 \tabularnewline
47 & 100.53 & 98.3483622685185 & 100.46625 & -2.11788773148149 & 2.1816377314815 \tabularnewline
48 & 100.53 & 97.676417824074 & 100.32375 & -2.64733217592593 & 2.85358217592594 \tabularnewline
49 & 100.53 & 103.302806712963 & 100.20625 & 3.09655671296296 & -2.77280671296295 \tabularnewline
50 & 100.53 & 102.717042824074 & 100.150833333333 & 2.56620949074074 & -2.18704282407407 \tabularnewline
51 & 100.53 & 102.176765046296 & 100.1325 & 2.0442650462963 & -1.64676504629628 \tabularnewline
52 & 99.42 & 101.541626157407 & 100.195 & 1.34662615740741 & -2.12162615740738 \tabularnewline
53 & 99.42 & 100.833987268518 & 100.338333333333 & 0.495653935185185 & -1.4139872685185 \tabularnewline
54 & 99.42 & 100.464681712963 & 100.481666666667 & -0.0169849537037015 & -1.04468171296294 \tabularnewline
55 & 99.42 & 99.9032233796296 & 100.606666666667 & -0.703443287037036 & -0.483223379629607 \tabularnewline
56 & 100.31 & 99.6287789351852 & 100.713333333333 & -1.08455439814814 & 0.681221064814835 \tabularnewline
57 & 100.31 & 99.4293344907407 & 100.82 & -1.39066550925926 & 0.880665509259288 \tabularnewline
58 & 102.25 & 99.3844733796296 & 100.972916666667 & -1.58844328703704 & 2.86552662037039 \tabularnewline
59 & 102.25 & 99.0541956018518 & 101.172083333333 & -2.11788773148149 & 3.19580439814817 \tabularnewline
60 & 102.25 & 98.723917824074 & 101.37125 & -2.64733217592593 & 3.52608217592594 \tabularnewline
61 & 101.81 & 104.66697337963 & 101.570416666667 & 3.09655671296296 & -2.85697337962962 \tabularnewline
62 & 101.81 & 104.298709490741 & 101.7325 & 2.56620949074074 & -2.48870949074073 \tabularnewline
63 & 101.81 & 103.901765046296 & 101.8575 & 2.0442650462963 & -2.09176504629629 \tabularnewline
64 & 101.81 & 103.248292824074 & 101.901666666667 & 1.34662615740741 & -1.43829282407407 \tabularnewline
65 & 101.81 & 102.360653935185 & 101.865 & 0.495653935185185 & -0.550653935185196 \tabularnewline
66 & 101.81 & 101.81134837963 & 101.828333333333 & -0.0169849537037015 & -0.00134837962964696 \tabularnewline
67 & 101.81 & 101.106556712963 & 101.81 & -0.703443287037036 & 0.703443287037032 \tabularnewline
68 & 101.81 & 100.725445601852 & 101.81 & -1.08455439814814 & 1.08455439814814 \tabularnewline
69 & 101.81 & 100.419334490741 & 101.81 & -1.39066550925926 & 1.39066550925926 \tabularnewline
70 & 101.81 & 100.221556712963 & 101.81 & -1.58844328703704 & 1.58844328703704 \tabularnewline
71 & 101.81 & 99.6921122685185 & 101.81 & -2.11788773148149 & 2.11788773148149 \tabularnewline
72 & 101.81 & 99.162667824074 & 101.81 & -2.64733217592593 & 2.64733217592592 \tabularnewline
73 & 101.81 & 104.906556712963 & 101.81 & 3.09655671296296 & -3.09655671296296 \tabularnewline
74 & 101.81 & 104.381626157407 & 101.815416666667 & 2.56620949074074 & -2.57162615740741 \tabularnewline
75 & 101.81 & 103.870515046296 & 101.82625 & 2.0442650462963 & -2.06051504629629 \tabularnewline
76 & 101.81 & 103.183709490741 & 101.837083333333 & 1.34662615740741 & -1.37370949074074 \tabularnewline
77 & 101.81 & 102.343570601852 & 101.847916666667 & 0.495653935185185 & -0.533570601851849 \tabularnewline
78 & 101.81 & 101.841765046296 & 101.85875 & -0.0169849537037015 & -0.031765046296286 \tabularnewline
79 & 101.81 & NA & NA & -0.703443287037036 & NA \tabularnewline
80 & 101.94 & NA & NA & -1.08455439814814 & NA \tabularnewline
81 & 101.94 & NA & NA & -1.39066550925926 & NA \tabularnewline
82 & 101.94 & NA & NA & -1.58844328703704 & NA \tabularnewline
83 & 101.94 & NA & NA & -2.11788773148149 & NA \tabularnewline
84 & 101.94 & NA & NA & -2.64733217592593 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155124&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]63.69[/C][C]NA[/C][C]NA[/C][C]3.09655671296296[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]63.69[/C][C]NA[/C][C]NA[/C][C]2.56620949074074[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]63.69[/C][C]NA[/C][C]NA[/C][C]2.0442650462963[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]63.69[/C][C]NA[/C][C]NA[/C][C]1.34662615740741[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]63.69[/C][C]NA[/C][C]NA[/C][C]0.495653935185185[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]63.69[/C][C]NA[/C][C]NA[/C][C]-0.0169849537037015[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]63.69[/C][C]63.489056712963[/C][C]64.1925[/C][C]-0.703443287037036[/C][C]0.200943287037049[/C][/ROW]
[ROW][C]8[/C][C]63.69[/C][C]63.2196122685185[/C][C]64.3041666666666[/C][C]-1.08455439814814[/C][C]0.470387731481495[/C][/ROW]
[ROW][C]9[/C][C]65.03[/C][C]63.025167824074[/C][C]64.4158333333333[/C][C]-1.39066550925926[/C][C]2.00483217592596[/C][/ROW]
[ROW][C]10[/C][C]65.03[/C][C]62.939056712963[/C][C]64.5275[/C][C]-1.58844328703704[/C][C]2.09094328703705[/C][/ROW]
[ROW][C]11[/C][C]65.03[/C][C]62.5212789351852[/C][C]64.6391666666667[/C][C]-2.11788773148149[/C][C]2.50872106481484[/C][/ROW]
[ROW][C]12[/C][C]65.03[/C][C]62.1035011574074[/C][C]64.7508333333333[/C][C]-2.64733217592593[/C][C]2.92649884259259[/C][/ROW]
[ROW][C]13[/C][C]65.03[/C][C]67.959056712963[/C][C]64.8625[/C][C]3.09655671296296[/C][C]-2.92905671296296[/C][/ROW]
[ROW][C]14[/C][C]65.03[/C][C]67.5403761574074[/C][C]64.9741666666667[/C][C]2.56620949074074[/C][C]-2.51037615740741[/C][/ROW]
[ROW][C]15[/C][C]65.03[/C][C]67.0742650462963[/C][C]65.03[/C][C]2.0442650462963[/C][C]-2.0442650462963[/C][/ROW]
[ROW][C]16[/C][C]65.03[/C][C]66.3766261574074[/C][C]65.03[/C][C]1.34662615740741[/C][C]-1.34662615740741[/C][/ROW]
[ROW][C]17[/C][C]65.03[/C][C]65.5256539351852[/C][C]65.03[/C][C]0.495653935185185[/C][C]-0.495653935185189[/C][/ROW]
[ROW][C]18[/C][C]65.03[/C][C]65.0130150462963[/C][C]65.03[/C][C]-0.0169849537037015[/C][C]0.0169849537036981[/C][/ROW]
[ROW][C]19[/C][C]65.03[/C][C]65.8319733796296[/C][C]66.5354166666667[/C][C]-0.703443287037036[/C][C]-0.801973379629644[/C][/ROW]
[ROW][C]20[/C][C]65.03[/C][C]68.4616956018519[/C][C]69.54625[/C][C]-1.08455439814814[/C][C]-3.43169560185186[/C][/ROW]
[ROW][C]21[/C][C]65.03[/C][C]71.1664178240741[/C][C]72.5570833333333[/C][C]-1.39066550925926[/C][C]-6.13641782407407[/C][/ROW]
[ROW][C]22[/C][C]65.03[/C][C]73.9794733796296[/C][C]75.5679166666667[/C][C]-1.58844328703704[/C][C]-8.94947337962964[/C][/ROW]
[ROW][C]23[/C][C]65.03[/C][C]76.4608622685185[/C][C]78.57875[/C][C]-2.11788773148149[/C][C]-11.4308622685185[/C][/ROW]
[ROW][C]24[/C][C]65.03[/C][C]78.9422511574074[/C][C]81.5895833333333[/C][C]-2.64733217592593[/C][C]-13.9122511574074[/C][/ROW]
[ROW][C]25[/C][C]101.16[/C][C]87.6969733796296[/C][C]84.6004166666667[/C][C]3.09655671296296[/C][C]13.4630266203704[/C][/ROW]
[ROW][C]26[/C][C]101.16[/C][C]90.1774594907407[/C][C]87.61125[/C][C]2.56620949074074[/C][C]10.9825405092593[/C][/ROW]
[ROW][C]27[/C][C]101.16[/C][C]92.6663483796296[/C][C]90.6220833333333[/C][C]2.0442650462963[/C][C]8.49365162037036[/C][/ROW]
[ROW][C]28[/C][C]101.16[/C][C]94.9816261574074[/C][C]93.635[/C][C]1.34662615740741[/C][C]6.17837384259259[/C][/ROW]
[ROW][C]29[/C][C]101.16[/C][C]97.1456539351852[/C][C]96.65[/C][C]0.495653935185185[/C][C]4.0143460648148[/C][/ROW]
[ROW][C]30[/C][C]101.16[/C][C]99.6480150462963[/C][C]99.665[/C][C]-0.0169849537037015[/C][C]1.51198495370369[/C][/ROW]
[ROW][C]31[/C][C]101.16[/C][C]100.552390046296[/C][C]101.255833333333[/C][C]-0.703443287037036[/C][C]0.607609953703673[/C][/ROW]
[ROW][C]32[/C][C]101.16[/C][C]100.337945601852[/C][C]101.4225[/C][C]-1.08455439814814[/C][C]0.822054398148126[/C][/ROW]
[ROW][C]33[/C][C]101.16[/C][C]100.198501157407[/C][C]101.589166666667[/C][C]-1.39066550925926[/C][C]0.961498842592562[/C][/ROW]
[ROW][C]34[/C][C]101.21[/C][C]100.167390046296[/C][C]101.755833333333[/C][C]-1.58844328703704[/C][C]1.04260995370367[/C][/ROW]
[ROW][C]35[/C][C]101.21[/C][C]99.7200289351852[/C][C]101.837916666667[/C][C]-2.11788773148149[/C][C]1.48997106481478[/C][/ROW]
[ROW][C]36[/C][C]101.21[/C][C]99.1880844907407[/C][C]101.835416666667[/C][C]-2.64733217592593[/C][C]2.02191550925924[/C][/ROW]
[ROW][C]37[/C][C]103.16[/C][C]104.90447337963[/C][C]101.807916666667[/C][C]3.09655671296296[/C][C]-1.74447337962964[/C][/ROW]
[ROW][C]38[/C][C]103.16[/C][C]104.321626157407[/C][C]101.755416666667[/C][C]2.56620949074074[/C][C]-1.16162615740741[/C][/ROW]
[ROW][C]39[/C][C]103.16[/C][C]103.747181712963[/C][C]101.702916666667[/C][C]2.0442650462963[/C][C]-0.587181712962973[/C][/ROW]
[ROW][C]40[/C][C]103.16[/C][C]102.994959490741[/C][C]101.648333333333[/C][C]1.34662615740741[/C][C]0.165040509259271[/C][/ROW]
[ROW][C]41[/C][C]101.13[/C][C]102.087320601852[/C][C]101.591666666667[/C][C]0.495653935185185[/C][C]-0.957320601851848[/C][/ROW]
[ROW][C]42[/C][C]101.13[/C][C]101.518015046296[/C][C]101.535[/C][C]-0.0169849537037015[/C][C]-0.388015046296289[/C][/ROW]
[ROW][C]43[/C][C]100.53[/C][C]100.693640046296[/C][C]101.397083333333[/C][C]-0.703443287037036[/C][C]-0.16364004629628[/C][/ROW]
[ROW][C]44[/C][C]100.53[/C][C]100.093362268519[/C][C]101.177916666667[/C][C]-1.08455439814814[/C][C]0.436637731481497[/C][/ROW]
[ROW][C]45[/C][C]100.53[/C][C]99.5680844907407[/C][C]100.95875[/C][C]-1.39066550925926[/C][C]0.961915509259285[/C][/ROW]
[ROW][C]46[/C][C]100.53[/C][C]99.1048900462963[/C][C]100.693333333333[/C][C]-1.58844328703704[/C][C]1.42510995370372[/C][/ROW]
[ROW][C]47[/C][C]100.53[/C][C]98.3483622685185[/C][C]100.46625[/C][C]-2.11788773148149[/C][C]2.1816377314815[/C][/ROW]
[ROW][C]48[/C][C]100.53[/C][C]97.676417824074[/C][C]100.32375[/C][C]-2.64733217592593[/C][C]2.85358217592594[/C][/ROW]
[ROW][C]49[/C][C]100.53[/C][C]103.302806712963[/C][C]100.20625[/C][C]3.09655671296296[/C][C]-2.77280671296295[/C][/ROW]
[ROW][C]50[/C][C]100.53[/C][C]102.717042824074[/C][C]100.150833333333[/C][C]2.56620949074074[/C][C]-2.18704282407407[/C][/ROW]
[ROW][C]51[/C][C]100.53[/C][C]102.176765046296[/C][C]100.1325[/C][C]2.0442650462963[/C][C]-1.64676504629628[/C][/ROW]
[ROW][C]52[/C][C]99.42[/C][C]101.541626157407[/C][C]100.195[/C][C]1.34662615740741[/C][C]-2.12162615740738[/C][/ROW]
[ROW][C]53[/C][C]99.42[/C][C]100.833987268518[/C][C]100.338333333333[/C][C]0.495653935185185[/C][C]-1.4139872685185[/C][/ROW]
[ROW][C]54[/C][C]99.42[/C][C]100.464681712963[/C][C]100.481666666667[/C][C]-0.0169849537037015[/C][C]-1.04468171296294[/C][/ROW]
[ROW][C]55[/C][C]99.42[/C][C]99.9032233796296[/C][C]100.606666666667[/C][C]-0.703443287037036[/C][C]-0.483223379629607[/C][/ROW]
[ROW][C]56[/C][C]100.31[/C][C]99.6287789351852[/C][C]100.713333333333[/C][C]-1.08455439814814[/C][C]0.681221064814835[/C][/ROW]
[ROW][C]57[/C][C]100.31[/C][C]99.4293344907407[/C][C]100.82[/C][C]-1.39066550925926[/C][C]0.880665509259288[/C][/ROW]
[ROW][C]58[/C][C]102.25[/C][C]99.3844733796296[/C][C]100.972916666667[/C][C]-1.58844328703704[/C][C]2.86552662037039[/C][/ROW]
[ROW][C]59[/C][C]102.25[/C][C]99.0541956018518[/C][C]101.172083333333[/C][C]-2.11788773148149[/C][C]3.19580439814817[/C][/ROW]
[ROW][C]60[/C][C]102.25[/C][C]98.723917824074[/C][C]101.37125[/C][C]-2.64733217592593[/C][C]3.52608217592594[/C][/ROW]
[ROW][C]61[/C][C]101.81[/C][C]104.66697337963[/C][C]101.570416666667[/C][C]3.09655671296296[/C][C]-2.85697337962962[/C][/ROW]
[ROW][C]62[/C][C]101.81[/C][C]104.298709490741[/C][C]101.7325[/C][C]2.56620949074074[/C][C]-2.48870949074073[/C][/ROW]
[ROW][C]63[/C][C]101.81[/C][C]103.901765046296[/C][C]101.8575[/C][C]2.0442650462963[/C][C]-2.09176504629629[/C][/ROW]
[ROW][C]64[/C][C]101.81[/C][C]103.248292824074[/C][C]101.901666666667[/C][C]1.34662615740741[/C][C]-1.43829282407407[/C][/ROW]
[ROW][C]65[/C][C]101.81[/C][C]102.360653935185[/C][C]101.865[/C][C]0.495653935185185[/C][C]-0.550653935185196[/C][/ROW]
[ROW][C]66[/C][C]101.81[/C][C]101.81134837963[/C][C]101.828333333333[/C][C]-0.0169849537037015[/C][C]-0.00134837962964696[/C][/ROW]
[ROW][C]67[/C][C]101.81[/C][C]101.106556712963[/C][C]101.81[/C][C]-0.703443287037036[/C][C]0.703443287037032[/C][/ROW]
[ROW][C]68[/C][C]101.81[/C][C]100.725445601852[/C][C]101.81[/C][C]-1.08455439814814[/C][C]1.08455439814814[/C][/ROW]
[ROW][C]69[/C][C]101.81[/C][C]100.419334490741[/C][C]101.81[/C][C]-1.39066550925926[/C][C]1.39066550925926[/C][/ROW]
[ROW][C]70[/C][C]101.81[/C][C]100.221556712963[/C][C]101.81[/C][C]-1.58844328703704[/C][C]1.58844328703704[/C][/ROW]
[ROW][C]71[/C][C]101.81[/C][C]99.6921122685185[/C][C]101.81[/C][C]-2.11788773148149[/C][C]2.11788773148149[/C][/ROW]
[ROW][C]72[/C][C]101.81[/C][C]99.162667824074[/C][C]101.81[/C][C]-2.64733217592593[/C][C]2.64733217592592[/C][/ROW]
[ROW][C]73[/C][C]101.81[/C][C]104.906556712963[/C][C]101.81[/C][C]3.09655671296296[/C][C]-3.09655671296296[/C][/ROW]
[ROW][C]74[/C][C]101.81[/C][C]104.381626157407[/C][C]101.815416666667[/C][C]2.56620949074074[/C][C]-2.57162615740741[/C][/ROW]
[ROW][C]75[/C][C]101.81[/C][C]103.870515046296[/C][C]101.82625[/C][C]2.0442650462963[/C][C]-2.06051504629629[/C][/ROW]
[ROW][C]76[/C][C]101.81[/C][C]103.183709490741[/C][C]101.837083333333[/C][C]1.34662615740741[/C][C]-1.37370949074074[/C][/ROW]
[ROW][C]77[/C][C]101.81[/C][C]102.343570601852[/C][C]101.847916666667[/C][C]0.495653935185185[/C][C]-0.533570601851849[/C][/ROW]
[ROW][C]78[/C][C]101.81[/C][C]101.841765046296[/C][C]101.85875[/C][C]-0.0169849537037015[/C][C]-0.031765046296286[/C][/ROW]
[ROW][C]79[/C][C]101.81[/C][C]NA[/C][C]NA[/C][C]-0.703443287037036[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]101.94[/C][C]NA[/C][C]NA[/C][C]-1.08455439814814[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]101.94[/C][C]NA[/C][C]NA[/C][C]-1.39066550925926[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]101.94[/C][C]NA[/C][C]NA[/C][C]-1.58844328703704[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]101.94[/C][C]NA[/C][C]NA[/C][C]-2.11788773148149[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]101.94[/C][C]NA[/C][C]NA[/C][C]-2.64733217592593[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155124&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155124&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
163.69NANA3.09655671296296NA
263.69NANA2.56620949074074NA
363.69NANA2.0442650462963NA
463.69NANA1.34662615740741NA
563.69NANA0.495653935185185NA
663.69NANA-0.0169849537037015NA
763.6963.48905671296364.1925-0.7034432870370360.200943287037049
863.6963.219612268518564.3041666666666-1.084554398148140.470387731481495
965.0363.02516782407464.4158333333333-1.390665509259262.00483217592596
1065.0362.93905671296364.5275-1.588443287037042.09094328703705
1165.0362.521278935185264.6391666666667-2.117887731481492.50872106481484
1265.0362.103501157407464.7508333333333-2.647332175925932.92649884259259
1365.0367.95905671296364.86253.09655671296296-2.92905671296296
1465.0367.540376157407464.97416666666672.56620949074074-2.51037615740741
1565.0367.074265046296365.032.0442650462963-2.0442650462963
1665.0366.376626157407465.031.34662615740741-1.34662615740741
1765.0365.525653935185265.030.495653935185185-0.495653935185189
1865.0365.013015046296365.03-0.01698495370370150.0169849537036981
1965.0365.831973379629666.5354166666667-0.703443287037036-0.801973379629644
2065.0368.461695601851969.54625-1.08455439814814-3.43169560185186
2165.0371.166417824074172.5570833333333-1.39066550925926-6.13641782407407
2265.0373.979473379629675.5679166666667-1.58844328703704-8.94947337962964
2365.0376.460862268518578.57875-2.11788773148149-11.4308622685185
2465.0378.942251157407481.5895833333333-2.64733217592593-13.9122511574074
25101.1687.696973379629684.60041666666673.0965567129629613.4630266203704
26101.1690.177459490740787.611252.5662094907407410.9825405092593
27101.1692.666348379629690.62208333333332.04426504629638.49365162037036
28101.1694.981626157407493.6351.346626157407416.17837384259259
29101.1697.145653935185296.650.4956539351851854.0143460648148
30101.1699.648015046296399.665-0.01698495370370151.51198495370369
31101.16100.552390046296101.255833333333-0.7034432870370360.607609953703673
32101.16100.337945601852101.4225-1.084554398148140.822054398148126
33101.16100.198501157407101.589166666667-1.390665509259260.961498842592562
34101.21100.167390046296101.755833333333-1.588443287037041.04260995370367
35101.2199.7200289351852101.837916666667-2.117887731481491.48997106481478
36101.2199.1880844907407101.835416666667-2.647332175925932.02191550925924
37103.16104.90447337963101.8079166666673.09655671296296-1.74447337962964
38103.16104.321626157407101.7554166666672.56620949074074-1.16162615740741
39103.16103.747181712963101.7029166666672.0442650462963-0.587181712962973
40103.16102.994959490741101.6483333333331.346626157407410.165040509259271
41101.13102.087320601852101.5916666666670.495653935185185-0.957320601851848
42101.13101.518015046296101.535-0.0169849537037015-0.388015046296289
43100.53100.693640046296101.397083333333-0.703443287037036-0.16364004629628
44100.53100.093362268519101.177916666667-1.084554398148140.436637731481497
45100.5399.5680844907407100.95875-1.390665509259260.961915509259285
46100.5399.1048900462963100.693333333333-1.588443287037041.42510995370372
47100.5398.3483622685185100.46625-2.117887731481492.1816377314815
48100.5397.676417824074100.32375-2.647332175925932.85358217592594
49100.53103.302806712963100.206253.09655671296296-2.77280671296295
50100.53102.717042824074100.1508333333332.56620949074074-2.18704282407407
51100.53102.176765046296100.13252.0442650462963-1.64676504629628
5299.42101.541626157407100.1951.34662615740741-2.12162615740738
5399.42100.833987268518100.3383333333330.495653935185185-1.4139872685185
5499.42100.464681712963100.481666666667-0.0169849537037015-1.04468171296294
5599.4299.9032233796296100.606666666667-0.703443287037036-0.483223379629607
56100.3199.6287789351852100.713333333333-1.084554398148140.681221064814835
57100.3199.4293344907407100.82-1.390665509259260.880665509259288
58102.2599.3844733796296100.972916666667-1.588443287037042.86552662037039
59102.2599.0541956018518101.172083333333-2.117887731481493.19580439814817
60102.2598.723917824074101.37125-2.647332175925933.52608217592594
61101.81104.66697337963101.5704166666673.09655671296296-2.85697337962962
62101.81104.298709490741101.73252.56620949074074-2.48870949074073
63101.81103.901765046296101.85752.0442650462963-2.09176504629629
64101.81103.248292824074101.9016666666671.34662615740741-1.43829282407407
65101.81102.360653935185101.8650.495653935185185-0.550653935185196
66101.81101.81134837963101.828333333333-0.0169849537037015-0.00134837962964696
67101.81101.106556712963101.81-0.7034432870370360.703443287037032
68101.81100.725445601852101.81-1.084554398148141.08455439814814
69101.81100.419334490741101.81-1.390665509259261.39066550925926
70101.81100.221556712963101.81-1.588443287037041.58844328703704
71101.8199.6921122685185101.81-2.117887731481492.11788773148149
72101.8199.162667824074101.81-2.647332175925932.64733217592592
73101.81104.906556712963101.813.09655671296296-3.09655671296296
74101.81104.381626157407101.8154166666672.56620949074074-2.57162615740741
75101.81103.870515046296101.826252.0442650462963-2.06051504629629
76101.81103.183709490741101.8370833333331.34662615740741-1.37370949074074
77101.81102.343570601852101.8479166666670.495653935185185-0.533570601851849
78101.81101.841765046296101.85875-0.0169849537037015-0.031765046296286
79101.81NANA-0.703443287037036NA
80101.94NANA-1.08455439814814NA
81101.94NANA-1.39066550925926NA
82101.94NANA-1.58844328703704NA
83101.94NANA-2.11788773148149NA
84101.94NANA-2.64733217592593NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')