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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 08 Dec 2012 07:40:51 -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/2012/Dec/08/t135497051109hplfnmimmkrl4.htm/, Retrieved Fri, 26 Apr 2024 09:54:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=197566, Retrieved Fri, 26 Apr 2024 09:54:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [multiplicatief de...] [2012-12-08 12:40:51] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
104.42
104.42
104.42
104.42
104.42
104.42
104.42
104.44
104.44
104.44
105.19
105.19
105.19
106.38
106.38
106.38
106.38
106.38
106.38
106.72
106.73
106.72
108.6
108.6
109.65
109.65
109.65
109.65
109.65
109.65
109.65
109.65
112.27
112.27
112.27
112.27
112.27
114.98
114.98
114.98
114.98
114.98
114.98
116.04
116.59
116.59
116.59
116.59
118.75
118.75
118.75
118.75
118.75
118.75
118.75
119.31
119.31
119.31
119.31
119.31
121.19
121.19
121.19
121.19
121.19
122.91
122.91
122.91
122.91
122.91
122.91
122.91




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197566&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197566&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197566&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'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1104.42NANA1.00294096657075NA
2104.42NANA1.00725713816934NA
3104.42NANA1.00453046767489NA
4104.42NANA1.00181052867244NA
5104.42NANA0.999159938492833NA
6104.42NANA0.999396166700581NA
7104.42104.108321990893104.5854166666670.9954382294302591.00299378573343
8104.44104.322060332759104.6991666666670.9963981916388321.00113053429797
9104.44104.818772901391104.86250.9995830053774360.996386402064182
10104.44104.718441851239105.0258333333330.9970731821653970.997341042835274
11105.19105.136848911658105.1891666666670.9995026317189661.00050554195691
12105.19105.026913723339105.35250.9969095533882781.00155280461817
13105.19105.826151871851105.5158333333331.002940966570750.993988708267296
14106.38106.459525075963105.69251.007257138169340.999253001777843
15106.38106.362615797948105.8829166666671.004530467674891.00016344278412
16106.38106.265382144715106.0733333333331.001810528672441.00107860013272
17106.38106.221109377814106.3104166666670.9991599384928331.00149584788858
18106.38106.530217974379106.5945833333330.9993961667005810.99858990268456
19106.38106.434744086257106.92250.9954382294302590.999485655866167
20106.72106.858308896393107.2445833333330.9963981916388320.99870567953188
21106.73107.47224928775107.5170833333330.9995830053774360.993093572595077
22106.72107.474102858449107.7895833333330.9970731821653970.992983399364197
23108.6108.008336680701108.0620833333330.9995026317189661.00547794121715
24108.6107.999781087339108.3345833333330.9969095533882781.00555759378971
25109.65108.926493134763108.6070833333331.002940966570751.00664215696673
26109.65109.65546803728108.8654166666671.007257138169340.999950134385655
27109.65109.713143462005109.2183333333331.004530467674890.999424467661645
28109.65109.878996205847109.6804166666671.001810528672440.997915923754729
29109.65109.972122313573110.0645833333330.9991599384928330.99707087299221
30109.65110.303771333813110.3704166666670.9993961667005810.994072992011904
31109.65110.127819917443110.63250.9954382294302590.995661224222896
32109.65110.564079837463110.963750.9963981916388320.991732578620406
33112.27111.361460164506111.4079166666670.9995830053774361.00815847631804
34112.27111.524712660996111.8520833333330.9970731821653971.00668271023723
35112.27112.240397407171112.296250.9995026317189661.00026374276564
36112.27112.391998427975112.7404166666670.9969095533882780.998914527460305
37112.27113.517455409241113.1845833333331.002940966570750.989010893481154
38114.98114.497856729029113.6729166666671.007257138169341.00421093708428
39114.98114.636179862335114.1191666666671.004530467674891.00299922884798
40114.98114.686434480314114.4791666666671.001810528672441.00255972313567
41114.98114.742694703235114.8391666666670.9991599384928331.00206815167954
42114.98115.129605573768115.1991666666670.9993961667005810.99870054645786
43114.98115.121601701752115.6491666666670.9954382294302590.99876998148342
44116.04115.658165592217116.076250.9963981916388321.00330140466804
45116.59116.341882488799116.3904166666670.9995830053774361.00213265855678
46116.59116.363010277453116.7045833333330.9970731821653971.00195070342375
47116.59116.960548585464117.018750.9995026317189660.996831849799397
48116.59116.970305551911117.3329166666670.9969095533882780.996748700021631
49118.75117.993079472563117.6470833333331.002940966570751.00641495696884
50118.75118.796326566167117.9404166666671.007257138169340.999610033681126
51118.75118.725455974495118.191.004530467674891.00020672925872
52118.75118.631063436961118.4166666666671.001810528672441.00100257520748
53118.75118.543665635918118.6433333333330.9991599384928331.00174057688342
54118.75118.798222335698118.870.9993961667005810.999594082009394
55118.75118.541761551702119.0850.9954382294302591.00175666740203
56119.31118.858679616944119.2883333333330.9963981916388321.00379711758965
57119.31119.441839284225119.4916666666670.9995830053774360.998896205173869
58119.31119.344674539287119.6950.9970731821653970.999709458847485
59119.31119.838699705384119.8983333333330.9995026317189660.995588238968846
60119.31119.801944062514120.1733333333330.9969095533882780.995893688818127
61121.19120.874445291106120.521.002940966570751.00261059902392
62121.19121.720310100177120.8433333333331.007257138169340.995643207779039
63121.19121.692169289028121.1433333333331.004530467674890.995873446155477
64121.19121.66320997041121.4433333333331.001810528672440.996110492477347
65121.19121.641061445246121.7433333333330.9991599384928330.996291865264191
66122.91121.969639504695122.0433333333330.9993961667005811.00770979154423
67122.91NANA0.995438229430259NA
68122.91NANA0.996398191638832NA
69122.91NANA0.999583005377436NA
70122.91NANA0.997073182165397NA
71122.91NANA0.999502631718966NA
72122.91NANA0.996909553388278NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 104.42 & NA & NA & 1.00294096657075 & NA \tabularnewline
2 & 104.42 & NA & NA & 1.00725713816934 & NA \tabularnewline
3 & 104.42 & NA & NA & 1.00453046767489 & NA \tabularnewline
4 & 104.42 & NA & NA & 1.00181052867244 & NA \tabularnewline
5 & 104.42 & NA & NA & 0.999159938492833 & NA \tabularnewline
6 & 104.42 & NA & NA & 0.999396166700581 & NA \tabularnewline
7 & 104.42 & 104.108321990893 & 104.585416666667 & 0.995438229430259 & 1.00299378573343 \tabularnewline
8 & 104.44 & 104.322060332759 & 104.699166666667 & 0.996398191638832 & 1.00113053429797 \tabularnewline
9 & 104.44 & 104.818772901391 & 104.8625 & 0.999583005377436 & 0.996386402064182 \tabularnewline
10 & 104.44 & 104.718441851239 & 105.025833333333 & 0.997073182165397 & 0.997341042835274 \tabularnewline
11 & 105.19 & 105.136848911658 & 105.189166666667 & 0.999502631718966 & 1.00050554195691 \tabularnewline
12 & 105.19 & 105.026913723339 & 105.3525 & 0.996909553388278 & 1.00155280461817 \tabularnewline
13 & 105.19 & 105.826151871851 & 105.515833333333 & 1.00294096657075 & 0.993988708267296 \tabularnewline
14 & 106.38 & 106.459525075963 & 105.6925 & 1.00725713816934 & 0.999253001777843 \tabularnewline
15 & 106.38 & 106.362615797948 & 105.882916666667 & 1.00453046767489 & 1.00016344278412 \tabularnewline
16 & 106.38 & 106.265382144715 & 106.073333333333 & 1.00181052867244 & 1.00107860013272 \tabularnewline
17 & 106.38 & 106.221109377814 & 106.310416666667 & 0.999159938492833 & 1.00149584788858 \tabularnewline
18 & 106.38 & 106.530217974379 & 106.594583333333 & 0.999396166700581 & 0.99858990268456 \tabularnewline
19 & 106.38 & 106.434744086257 & 106.9225 & 0.995438229430259 & 0.999485655866167 \tabularnewline
20 & 106.72 & 106.858308896393 & 107.244583333333 & 0.996398191638832 & 0.99870567953188 \tabularnewline
21 & 106.73 & 107.47224928775 & 107.517083333333 & 0.999583005377436 & 0.993093572595077 \tabularnewline
22 & 106.72 & 107.474102858449 & 107.789583333333 & 0.997073182165397 & 0.992983399364197 \tabularnewline
23 & 108.6 & 108.008336680701 & 108.062083333333 & 0.999502631718966 & 1.00547794121715 \tabularnewline
24 & 108.6 & 107.999781087339 & 108.334583333333 & 0.996909553388278 & 1.00555759378971 \tabularnewline
25 & 109.65 & 108.926493134763 & 108.607083333333 & 1.00294096657075 & 1.00664215696673 \tabularnewline
26 & 109.65 & 109.65546803728 & 108.865416666667 & 1.00725713816934 & 0.999950134385655 \tabularnewline
27 & 109.65 & 109.713143462005 & 109.218333333333 & 1.00453046767489 & 0.999424467661645 \tabularnewline
28 & 109.65 & 109.878996205847 & 109.680416666667 & 1.00181052867244 & 0.997915923754729 \tabularnewline
29 & 109.65 & 109.972122313573 & 110.064583333333 & 0.999159938492833 & 0.99707087299221 \tabularnewline
30 & 109.65 & 110.303771333813 & 110.370416666667 & 0.999396166700581 & 0.994072992011904 \tabularnewline
31 & 109.65 & 110.127819917443 & 110.6325 & 0.995438229430259 & 0.995661224222896 \tabularnewline
32 & 109.65 & 110.564079837463 & 110.96375 & 0.996398191638832 & 0.991732578620406 \tabularnewline
33 & 112.27 & 111.361460164506 & 111.407916666667 & 0.999583005377436 & 1.00815847631804 \tabularnewline
34 & 112.27 & 111.524712660996 & 111.852083333333 & 0.997073182165397 & 1.00668271023723 \tabularnewline
35 & 112.27 & 112.240397407171 & 112.29625 & 0.999502631718966 & 1.00026374276564 \tabularnewline
36 & 112.27 & 112.391998427975 & 112.740416666667 & 0.996909553388278 & 0.998914527460305 \tabularnewline
37 & 112.27 & 113.517455409241 & 113.184583333333 & 1.00294096657075 & 0.989010893481154 \tabularnewline
38 & 114.98 & 114.497856729029 & 113.672916666667 & 1.00725713816934 & 1.00421093708428 \tabularnewline
39 & 114.98 & 114.636179862335 & 114.119166666667 & 1.00453046767489 & 1.00299922884798 \tabularnewline
40 & 114.98 & 114.686434480314 & 114.479166666667 & 1.00181052867244 & 1.00255972313567 \tabularnewline
41 & 114.98 & 114.742694703235 & 114.839166666667 & 0.999159938492833 & 1.00206815167954 \tabularnewline
42 & 114.98 & 115.129605573768 & 115.199166666667 & 0.999396166700581 & 0.99870054645786 \tabularnewline
43 & 114.98 & 115.121601701752 & 115.649166666667 & 0.995438229430259 & 0.99876998148342 \tabularnewline
44 & 116.04 & 115.658165592217 & 116.07625 & 0.996398191638832 & 1.00330140466804 \tabularnewline
45 & 116.59 & 116.341882488799 & 116.390416666667 & 0.999583005377436 & 1.00213265855678 \tabularnewline
46 & 116.59 & 116.363010277453 & 116.704583333333 & 0.997073182165397 & 1.00195070342375 \tabularnewline
47 & 116.59 & 116.960548585464 & 117.01875 & 0.999502631718966 & 0.996831849799397 \tabularnewline
48 & 116.59 & 116.970305551911 & 117.332916666667 & 0.996909553388278 & 0.996748700021631 \tabularnewline
49 & 118.75 & 117.993079472563 & 117.647083333333 & 1.00294096657075 & 1.00641495696884 \tabularnewline
50 & 118.75 & 118.796326566167 & 117.940416666667 & 1.00725713816934 & 0.999610033681126 \tabularnewline
51 & 118.75 & 118.725455974495 & 118.19 & 1.00453046767489 & 1.00020672925872 \tabularnewline
52 & 118.75 & 118.631063436961 & 118.416666666667 & 1.00181052867244 & 1.00100257520748 \tabularnewline
53 & 118.75 & 118.543665635918 & 118.643333333333 & 0.999159938492833 & 1.00174057688342 \tabularnewline
54 & 118.75 & 118.798222335698 & 118.87 & 0.999396166700581 & 0.999594082009394 \tabularnewline
55 & 118.75 & 118.541761551702 & 119.085 & 0.995438229430259 & 1.00175666740203 \tabularnewline
56 & 119.31 & 118.858679616944 & 119.288333333333 & 0.996398191638832 & 1.00379711758965 \tabularnewline
57 & 119.31 & 119.441839284225 & 119.491666666667 & 0.999583005377436 & 0.998896205173869 \tabularnewline
58 & 119.31 & 119.344674539287 & 119.695 & 0.997073182165397 & 0.999709458847485 \tabularnewline
59 & 119.31 & 119.838699705384 & 119.898333333333 & 0.999502631718966 & 0.995588238968846 \tabularnewline
60 & 119.31 & 119.801944062514 & 120.173333333333 & 0.996909553388278 & 0.995893688818127 \tabularnewline
61 & 121.19 & 120.874445291106 & 120.52 & 1.00294096657075 & 1.00261059902392 \tabularnewline
62 & 121.19 & 121.720310100177 & 120.843333333333 & 1.00725713816934 & 0.995643207779039 \tabularnewline
63 & 121.19 & 121.692169289028 & 121.143333333333 & 1.00453046767489 & 0.995873446155477 \tabularnewline
64 & 121.19 & 121.66320997041 & 121.443333333333 & 1.00181052867244 & 0.996110492477347 \tabularnewline
65 & 121.19 & 121.641061445246 & 121.743333333333 & 0.999159938492833 & 0.996291865264191 \tabularnewline
66 & 122.91 & 121.969639504695 & 122.043333333333 & 0.999396166700581 & 1.00770979154423 \tabularnewline
67 & 122.91 & NA & NA & 0.995438229430259 & NA \tabularnewline
68 & 122.91 & NA & NA & 0.996398191638832 & NA \tabularnewline
69 & 122.91 & NA & NA & 0.999583005377436 & NA \tabularnewline
70 & 122.91 & NA & NA & 0.997073182165397 & NA \tabularnewline
71 & 122.91 & NA & NA & 0.999502631718966 & NA \tabularnewline
72 & 122.91 & NA & NA & 0.996909553388278 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=197566&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]104.42[/C][C]NA[/C][C]NA[/C][C]1.00294096657075[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]104.42[/C][C]NA[/C][C]NA[/C][C]1.00725713816934[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104.42[/C][C]NA[/C][C]NA[/C][C]1.00453046767489[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]104.42[/C][C]NA[/C][C]NA[/C][C]1.00181052867244[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]104.42[/C][C]NA[/C][C]NA[/C][C]0.999159938492833[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]104.42[/C][C]NA[/C][C]NA[/C][C]0.999396166700581[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]104.42[/C][C]104.108321990893[/C][C]104.585416666667[/C][C]0.995438229430259[/C][C]1.00299378573343[/C][/ROW]
[ROW][C]8[/C][C]104.44[/C][C]104.322060332759[/C][C]104.699166666667[/C][C]0.996398191638832[/C][C]1.00113053429797[/C][/ROW]
[ROW][C]9[/C][C]104.44[/C][C]104.818772901391[/C][C]104.8625[/C][C]0.999583005377436[/C][C]0.996386402064182[/C][/ROW]
[ROW][C]10[/C][C]104.44[/C][C]104.718441851239[/C][C]105.025833333333[/C][C]0.997073182165397[/C][C]0.997341042835274[/C][/ROW]
[ROW][C]11[/C][C]105.19[/C][C]105.136848911658[/C][C]105.189166666667[/C][C]0.999502631718966[/C][C]1.00050554195691[/C][/ROW]
[ROW][C]12[/C][C]105.19[/C][C]105.026913723339[/C][C]105.3525[/C][C]0.996909553388278[/C][C]1.00155280461817[/C][/ROW]
[ROW][C]13[/C][C]105.19[/C][C]105.826151871851[/C][C]105.515833333333[/C][C]1.00294096657075[/C][C]0.993988708267296[/C][/ROW]
[ROW][C]14[/C][C]106.38[/C][C]106.459525075963[/C][C]105.6925[/C][C]1.00725713816934[/C][C]0.999253001777843[/C][/ROW]
[ROW][C]15[/C][C]106.38[/C][C]106.362615797948[/C][C]105.882916666667[/C][C]1.00453046767489[/C][C]1.00016344278412[/C][/ROW]
[ROW][C]16[/C][C]106.38[/C][C]106.265382144715[/C][C]106.073333333333[/C][C]1.00181052867244[/C][C]1.00107860013272[/C][/ROW]
[ROW][C]17[/C][C]106.38[/C][C]106.221109377814[/C][C]106.310416666667[/C][C]0.999159938492833[/C][C]1.00149584788858[/C][/ROW]
[ROW][C]18[/C][C]106.38[/C][C]106.530217974379[/C][C]106.594583333333[/C][C]0.999396166700581[/C][C]0.99858990268456[/C][/ROW]
[ROW][C]19[/C][C]106.38[/C][C]106.434744086257[/C][C]106.9225[/C][C]0.995438229430259[/C][C]0.999485655866167[/C][/ROW]
[ROW][C]20[/C][C]106.72[/C][C]106.858308896393[/C][C]107.244583333333[/C][C]0.996398191638832[/C][C]0.99870567953188[/C][/ROW]
[ROW][C]21[/C][C]106.73[/C][C]107.47224928775[/C][C]107.517083333333[/C][C]0.999583005377436[/C][C]0.993093572595077[/C][/ROW]
[ROW][C]22[/C][C]106.72[/C][C]107.474102858449[/C][C]107.789583333333[/C][C]0.997073182165397[/C][C]0.992983399364197[/C][/ROW]
[ROW][C]23[/C][C]108.6[/C][C]108.008336680701[/C][C]108.062083333333[/C][C]0.999502631718966[/C][C]1.00547794121715[/C][/ROW]
[ROW][C]24[/C][C]108.6[/C][C]107.999781087339[/C][C]108.334583333333[/C][C]0.996909553388278[/C][C]1.00555759378971[/C][/ROW]
[ROW][C]25[/C][C]109.65[/C][C]108.926493134763[/C][C]108.607083333333[/C][C]1.00294096657075[/C][C]1.00664215696673[/C][/ROW]
[ROW][C]26[/C][C]109.65[/C][C]109.65546803728[/C][C]108.865416666667[/C][C]1.00725713816934[/C][C]0.999950134385655[/C][/ROW]
[ROW][C]27[/C][C]109.65[/C][C]109.713143462005[/C][C]109.218333333333[/C][C]1.00453046767489[/C][C]0.999424467661645[/C][/ROW]
[ROW][C]28[/C][C]109.65[/C][C]109.878996205847[/C][C]109.680416666667[/C][C]1.00181052867244[/C][C]0.997915923754729[/C][/ROW]
[ROW][C]29[/C][C]109.65[/C][C]109.972122313573[/C][C]110.064583333333[/C][C]0.999159938492833[/C][C]0.99707087299221[/C][/ROW]
[ROW][C]30[/C][C]109.65[/C][C]110.303771333813[/C][C]110.370416666667[/C][C]0.999396166700581[/C][C]0.994072992011904[/C][/ROW]
[ROW][C]31[/C][C]109.65[/C][C]110.127819917443[/C][C]110.6325[/C][C]0.995438229430259[/C][C]0.995661224222896[/C][/ROW]
[ROW][C]32[/C][C]109.65[/C][C]110.564079837463[/C][C]110.96375[/C][C]0.996398191638832[/C][C]0.991732578620406[/C][/ROW]
[ROW][C]33[/C][C]112.27[/C][C]111.361460164506[/C][C]111.407916666667[/C][C]0.999583005377436[/C][C]1.00815847631804[/C][/ROW]
[ROW][C]34[/C][C]112.27[/C][C]111.524712660996[/C][C]111.852083333333[/C][C]0.997073182165397[/C][C]1.00668271023723[/C][/ROW]
[ROW][C]35[/C][C]112.27[/C][C]112.240397407171[/C][C]112.29625[/C][C]0.999502631718966[/C][C]1.00026374276564[/C][/ROW]
[ROW][C]36[/C][C]112.27[/C][C]112.391998427975[/C][C]112.740416666667[/C][C]0.996909553388278[/C][C]0.998914527460305[/C][/ROW]
[ROW][C]37[/C][C]112.27[/C][C]113.517455409241[/C][C]113.184583333333[/C][C]1.00294096657075[/C][C]0.989010893481154[/C][/ROW]
[ROW][C]38[/C][C]114.98[/C][C]114.497856729029[/C][C]113.672916666667[/C][C]1.00725713816934[/C][C]1.00421093708428[/C][/ROW]
[ROW][C]39[/C][C]114.98[/C][C]114.636179862335[/C][C]114.119166666667[/C][C]1.00453046767489[/C][C]1.00299922884798[/C][/ROW]
[ROW][C]40[/C][C]114.98[/C][C]114.686434480314[/C][C]114.479166666667[/C][C]1.00181052867244[/C][C]1.00255972313567[/C][/ROW]
[ROW][C]41[/C][C]114.98[/C][C]114.742694703235[/C][C]114.839166666667[/C][C]0.999159938492833[/C][C]1.00206815167954[/C][/ROW]
[ROW][C]42[/C][C]114.98[/C][C]115.129605573768[/C][C]115.199166666667[/C][C]0.999396166700581[/C][C]0.99870054645786[/C][/ROW]
[ROW][C]43[/C][C]114.98[/C][C]115.121601701752[/C][C]115.649166666667[/C][C]0.995438229430259[/C][C]0.99876998148342[/C][/ROW]
[ROW][C]44[/C][C]116.04[/C][C]115.658165592217[/C][C]116.07625[/C][C]0.996398191638832[/C][C]1.00330140466804[/C][/ROW]
[ROW][C]45[/C][C]116.59[/C][C]116.341882488799[/C][C]116.390416666667[/C][C]0.999583005377436[/C][C]1.00213265855678[/C][/ROW]
[ROW][C]46[/C][C]116.59[/C][C]116.363010277453[/C][C]116.704583333333[/C][C]0.997073182165397[/C][C]1.00195070342375[/C][/ROW]
[ROW][C]47[/C][C]116.59[/C][C]116.960548585464[/C][C]117.01875[/C][C]0.999502631718966[/C][C]0.996831849799397[/C][/ROW]
[ROW][C]48[/C][C]116.59[/C][C]116.970305551911[/C][C]117.332916666667[/C][C]0.996909553388278[/C][C]0.996748700021631[/C][/ROW]
[ROW][C]49[/C][C]118.75[/C][C]117.993079472563[/C][C]117.647083333333[/C][C]1.00294096657075[/C][C]1.00641495696884[/C][/ROW]
[ROW][C]50[/C][C]118.75[/C][C]118.796326566167[/C][C]117.940416666667[/C][C]1.00725713816934[/C][C]0.999610033681126[/C][/ROW]
[ROW][C]51[/C][C]118.75[/C][C]118.725455974495[/C][C]118.19[/C][C]1.00453046767489[/C][C]1.00020672925872[/C][/ROW]
[ROW][C]52[/C][C]118.75[/C][C]118.631063436961[/C][C]118.416666666667[/C][C]1.00181052867244[/C][C]1.00100257520748[/C][/ROW]
[ROW][C]53[/C][C]118.75[/C][C]118.543665635918[/C][C]118.643333333333[/C][C]0.999159938492833[/C][C]1.00174057688342[/C][/ROW]
[ROW][C]54[/C][C]118.75[/C][C]118.798222335698[/C][C]118.87[/C][C]0.999396166700581[/C][C]0.999594082009394[/C][/ROW]
[ROW][C]55[/C][C]118.75[/C][C]118.541761551702[/C][C]119.085[/C][C]0.995438229430259[/C][C]1.00175666740203[/C][/ROW]
[ROW][C]56[/C][C]119.31[/C][C]118.858679616944[/C][C]119.288333333333[/C][C]0.996398191638832[/C][C]1.00379711758965[/C][/ROW]
[ROW][C]57[/C][C]119.31[/C][C]119.441839284225[/C][C]119.491666666667[/C][C]0.999583005377436[/C][C]0.998896205173869[/C][/ROW]
[ROW][C]58[/C][C]119.31[/C][C]119.344674539287[/C][C]119.695[/C][C]0.997073182165397[/C][C]0.999709458847485[/C][/ROW]
[ROW][C]59[/C][C]119.31[/C][C]119.838699705384[/C][C]119.898333333333[/C][C]0.999502631718966[/C][C]0.995588238968846[/C][/ROW]
[ROW][C]60[/C][C]119.31[/C][C]119.801944062514[/C][C]120.173333333333[/C][C]0.996909553388278[/C][C]0.995893688818127[/C][/ROW]
[ROW][C]61[/C][C]121.19[/C][C]120.874445291106[/C][C]120.52[/C][C]1.00294096657075[/C][C]1.00261059902392[/C][/ROW]
[ROW][C]62[/C][C]121.19[/C][C]121.720310100177[/C][C]120.843333333333[/C][C]1.00725713816934[/C][C]0.995643207779039[/C][/ROW]
[ROW][C]63[/C][C]121.19[/C][C]121.692169289028[/C][C]121.143333333333[/C][C]1.00453046767489[/C][C]0.995873446155477[/C][/ROW]
[ROW][C]64[/C][C]121.19[/C][C]121.66320997041[/C][C]121.443333333333[/C][C]1.00181052867244[/C][C]0.996110492477347[/C][/ROW]
[ROW][C]65[/C][C]121.19[/C][C]121.641061445246[/C][C]121.743333333333[/C][C]0.999159938492833[/C][C]0.996291865264191[/C][/ROW]
[ROW][C]66[/C][C]122.91[/C][C]121.969639504695[/C][C]122.043333333333[/C][C]0.999396166700581[/C][C]1.00770979154423[/C][/ROW]
[ROW][C]67[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.995438229430259[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.996398191638832[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.999583005377436[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.997073182165397[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.999502631718966[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]122.91[/C][C]NA[/C][C]NA[/C][C]0.996909553388278[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=197566&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=197566&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
1104.42NANA1.00294096657075NA
2104.42NANA1.00725713816934NA
3104.42NANA1.00453046767489NA
4104.42NANA1.00181052867244NA
5104.42NANA0.999159938492833NA
6104.42NANA0.999396166700581NA
7104.42104.108321990893104.5854166666670.9954382294302591.00299378573343
8104.44104.322060332759104.6991666666670.9963981916388321.00113053429797
9104.44104.818772901391104.86250.9995830053774360.996386402064182
10104.44104.718441851239105.0258333333330.9970731821653970.997341042835274
11105.19105.136848911658105.1891666666670.9995026317189661.00050554195691
12105.19105.026913723339105.35250.9969095533882781.00155280461817
13105.19105.826151871851105.5158333333331.002940966570750.993988708267296
14106.38106.459525075963105.69251.007257138169340.999253001777843
15106.38106.362615797948105.8829166666671.004530467674891.00016344278412
16106.38106.265382144715106.0733333333331.001810528672441.00107860013272
17106.38106.221109377814106.3104166666670.9991599384928331.00149584788858
18106.38106.530217974379106.5945833333330.9993961667005810.99858990268456
19106.38106.434744086257106.92250.9954382294302590.999485655866167
20106.72106.858308896393107.2445833333330.9963981916388320.99870567953188
21106.73107.47224928775107.5170833333330.9995830053774360.993093572595077
22106.72107.474102858449107.7895833333330.9970731821653970.992983399364197
23108.6108.008336680701108.0620833333330.9995026317189661.00547794121715
24108.6107.999781087339108.3345833333330.9969095533882781.00555759378971
25109.65108.926493134763108.6070833333331.002940966570751.00664215696673
26109.65109.65546803728108.8654166666671.007257138169340.999950134385655
27109.65109.713143462005109.2183333333331.004530467674890.999424467661645
28109.65109.878996205847109.6804166666671.001810528672440.997915923754729
29109.65109.972122313573110.0645833333330.9991599384928330.99707087299221
30109.65110.303771333813110.3704166666670.9993961667005810.994072992011904
31109.65110.127819917443110.63250.9954382294302590.995661224222896
32109.65110.564079837463110.963750.9963981916388320.991732578620406
33112.27111.361460164506111.4079166666670.9995830053774361.00815847631804
34112.27111.524712660996111.8520833333330.9970731821653971.00668271023723
35112.27112.240397407171112.296250.9995026317189661.00026374276564
36112.27112.391998427975112.7404166666670.9969095533882780.998914527460305
37112.27113.517455409241113.1845833333331.002940966570750.989010893481154
38114.98114.497856729029113.6729166666671.007257138169341.00421093708428
39114.98114.636179862335114.1191666666671.004530467674891.00299922884798
40114.98114.686434480314114.4791666666671.001810528672441.00255972313567
41114.98114.742694703235114.8391666666670.9991599384928331.00206815167954
42114.98115.129605573768115.1991666666670.9993961667005810.99870054645786
43114.98115.121601701752115.6491666666670.9954382294302590.99876998148342
44116.04115.658165592217116.076250.9963981916388321.00330140466804
45116.59116.341882488799116.3904166666670.9995830053774361.00213265855678
46116.59116.363010277453116.7045833333330.9970731821653971.00195070342375
47116.59116.960548585464117.018750.9995026317189660.996831849799397
48116.59116.970305551911117.3329166666670.9969095533882780.996748700021631
49118.75117.993079472563117.6470833333331.002940966570751.00641495696884
50118.75118.796326566167117.9404166666671.007257138169340.999610033681126
51118.75118.725455974495118.191.004530467674891.00020672925872
52118.75118.631063436961118.4166666666671.001810528672441.00100257520748
53118.75118.543665635918118.6433333333330.9991599384928331.00174057688342
54118.75118.798222335698118.870.9993961667005810.999594082009394
55118.75118.541761551702119.0850.9954382294302591.00175666740203
56119.31118.858679616944119.2883333333330.9963981916388321.00379711758965
57119.31119.441839284225119.4916666666670.9995830053774360.998896205173869
58119.31119.344674539287119.6950.9970731821653970.999709458847485
59119.31119.838699705384119.8983333333330.9995026317189660.995588238968846
60119.31119.801944062514120.1733333333330.9969095533882780.995893688818127
61121.19120.874445291106120.521.002940966570751.00261059902392
62121.19121.720310100177120.8433333333331.007257138169340.995643207779039
63121.19121.692169289028121.1433333333331.004530467674890.995873446155477
64121.19121.66320997041121.4433333333331.001810528672440.996110492477347
65121.19121.641061445246121.7433333333330.9991599384928330.996291865264191
66122.91121.969639504695122.0433333333330.9993961667005811.00770979154423
67122.91NANA0.995438229430259NA
68122.91NANA0.996398191638832NA
69122.91NANA0.999583005377436NA
70122.91NANA0.997073182165397NA
71122.91NANA0.999502631718966NA
72122.91NANA0.996909553388278NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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')