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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 17 May 2011 15:23:40 +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/2011/May/17/t1305645569mmc921u411mjgkp.htm/, Retrieved Thu, 09 May 2024 23:07:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121747, Retrieved Thu, 09 May 2024 23:07:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [maximuprijs 2006 ...] [2010-01-02 20:22:48] [ef87393097b01fda8ad7ae01bd2302b6]
- RMPD  [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-01-06 10:36:22] [6797cdeb32c30e9f935f3913baaaa461]
- RMPD      [Exponential Smoothing] [] [2011-05-17 15:23:40] [fa169e33c07134f82fd2ac8a5210a945] [Current]
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Dataseries X:
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,43
0,43
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,43
0,44
0,44
0,46
0,46
0,46
0,46
0,46
0,45
0,45
0,46
0,46
0,46
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121747&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121747&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121747&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.913882252944706
beta0.0156442872297025
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.913882252944706 \tabularnewline
beta & 0.0156442872297025 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121747&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.913882252944706[/C][/ROW]
[ROW][C]beta[/C][C]0.0156442872297025[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121747&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121747&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.913882252944706
beta0.0156442872297025
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.410.4099105614956268.94385043740398e-05
140.410.41012333698141-0.000123336981409539
150.410.410139897373554-0.000139897373553799
160.410.4097229382994670.000277061700532488
170.410.4092762300445840.000723769955416176
180.410.4092495805599030.000750419440096961
190.410.412170784068899-0.00217078406889887
200.410.410308310797649-0.000308310797648648
210.410.410143510864863-0.000143510864863083
220.420.4101272668858690.0098727331141305
230.420.4194058413457270.00059415865427298
240.420.420213385982037-0.000213385982037462
250.420.42028777462779-0.000287774627789616
260.420.420263393099985-0.000263393099985076
270.420.420274837118587-0.000274837118586724
280.420.4198834528858550.000116547114144716
290.420.4194288879123290.000571112087671355
300.420.4193621986153030.000637801384696601
310.420.422088671475199-0.00208867147519926
320.420.420583058047971-0.000583058047971208
330.420.420295245913563-0.000295245913562947
340.420.421116845638211-0.00111684563821135
350.420.419507220605410.000492779394590026
360.430.4201054090467390.00989459095326095
370.430.429508261323530.000491738676469455
380.440.4303064470604160.00969355293958424
390.440.4396671016444970.000332898355502542
400.440.440107206085745-0.000107206085745326
410.440.4397060759631280.000293924036872228
420.440.439602902813480.000397097186520146
430.440.442200424281174-0.00220042428117367
440.440.440983673304023-0.000983673304022936
450.440.440597952773114-0.000597952773114085
460.440.441347497928141-0.00134749792814121
470.440.4398680145082250.000131985491775288
480.440.441191778795396-0.00119177879539639
490.430.439704532677982-0.00970453267798227
500.440.4318860159340660.00811398406593383
510.440.4389000266238180.00109997337618228
520.460.4399161310144490.0200838689855511
530.460.4581707314051450.00182926859485477
540.460.4596628186033040.000337181396695918
550.460.46227131537547-0.00227131537546976
560.460.461335037728099-0.00133503772809945
570.450.460881477536563-0.0108814775365635
580.450.452257087949292-0.00225708794929202
590.460.4501173866182630.0098826133817374
600.460.460462176689568-0.000462176689567939
610.460.4590256858456960.00097431415430388
620.470.4630082167429760.00699178325702354
630.470.468641172932120.00135882706787982
640.470.471885428322728-0.00188542832272848
650.470.4684698172956790.00153018270432076
660.470.4695657301721290.000434269827870926
670.470.472095823205018-0.0020958232050185
680.470.471443579426219-0.00144357942621898
690.470.470061621557005-6.16215570045653e-05
700.470.472320438823448-0.00232043882344773
710.470.471356374901362-0.00135637490136215
720.470.470557974629451-0.000557974629451452

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.41 & 0.409910561495626 & 8.94385043740398e-05 \tabularnewline
14 & 0.41 & 0.41012333698141 & -0.000123336981409539 \tabularnewline
15 & 0.41 & 0.410139897373554 & -0.000139897373553799 \tabularnewline
16 & 0.41 & 0.409722938299467 & 0.000277061700532488 \tabularnewline
17 & 0.41 & 0.409276230044584 & 0.000723769955416176 \tabularnewline
18 & 0.41 & 0.409249580559903 & 0.000750419440096961 \tabularnewline
19 & 0.41 & 0.412170784068899 & -0.00217078406889887 \tabularnewline
20 & 0.41 & 0.410308310797649 & -0.000308310797648648 \tabularnewline
21 & 0.41 & 0.410143510864863 & -0.000143510864863083 \tabularnewline
22 & 0.42 & 0.410127266885869 & 0.0098727331141305 \tabularnewline
23 & 0.42 & 0.419405841345727 & 0.00059415865427298 \tabularnewline
24 & 0.42 & 0.420213385982037 & -0.000213385982037462 \tabularnewline
25 & 0.42 & 0.42028777462779 & -0.000287774627789616 \tabularnewline
26 & 0.42 & 0.420263393099985 & -0.000263393099985076 \tabularnewline
27 & 0.42 & 0.420274837118587 & -0.000274837118586724 \tabularnewline
28 & 0.42 & 0.419883452885855 & 0.000116547114144716 \tabularnewline
29 & 0.42 & 0.419428887912329 & 0.000571112087671355 \tabularnewline
30 & 0.42 & 0.419362198615303 & 0.000637801384696601 \tabularnewline
31 & 0.42 & 0.422088671475199 & -0.00208867147519926 \tabularnewline
32 & 0.42 & 0.420583058047971 & -0.000583058047971208 \tabularnewline
33 & 0.42 & 0.420295245913563 & -0.000295245913562947 \tabularnewline
34 & 0.42 & 0.421116845638211 & -0.00111684563821135 \tabularnewline
35 & 0.42 & 0.41950722060541 & 0.000492779394590026 \tabularnewline
36 & 0.43 & 0.420105409046739 & 0.00989459095326095 \tabularnewline
37 & 0.43 & 0.42950826132353 & 0.000491738676469455 \tabularnewline
38 & 0.44 & 0.430306447060416 & 0.00969355293958424 \tabularnewline
39 & 0.44 & 0.439667101644497 & 0.000332898355502542 \tabularnewline
40 & 0.44 & 0.440107206085745 & -0.000107206085745326 \tabularnewline
41 & 0.44 & 0.439706075963128 & 0.000293924036872228 \tabularnewline
42 & 0.44 & 0.43960290281348 & 0.000397097186520146 \tabularnewline
43 & 0.44 & 0.442200424281174 & -0.00220042428117367 \tabularnewline
44 & 0.44 & 0.440983673304023 & -0.000983673304022936 \tabularnewline
45 & 0.44 & 0.440597952773114 & -0.000597952773114085 \tabularnewline
46 & 0.44 & 0.441347497928141 & -0.00134749792814121 \tabularnewline
47 & 0.44 & 0.439868014508225 & 0.000131985491775288 \tabularnewline
48 & 0.44 & 0.441191778795396 & -0.00119177879539639 \tabularnewline
49 & 0.43 & 0.439704532677982 & -0.00970453267798227 \tabularnewline
50 & 0.44 & 0.431886015934066 & 0.00811398406593383 \tabularnewline
51 & 0.44 & 0.438900026623818 & 0.00109997337618228 \tabularnewline
52 & 0.46 & 0.439916131014449 & 0.0200838689855511 \tabularnewline
53 & 0.46 & 0.458170731405145 & 0.00182926859485477 \tabularnewline
54 & 0.46 & 0.459662818603304 & 0.000337181396695918 \tabularnewline
55 & 0.46 & 0.46227131537547 & -0.00227131537546976 \tabularnewline
56 & 0.46 & 0.461335037728099 & -0.00133503772809945 \tabularnewline
57 & 0.45 & 0.460881477536563 & -0.0108814775365635 \tabularnewline
58 & 0.45 & 0.452257087949292 & -0.00225708794929202 \tabularnewline
59 & 0.46 & 0.450117386618263 & 0.0098826133817374 \tabularnewline
60 & 0.46 & 0.460462176689568 & -0.000462176689567939 \tabularnewline
61 & 0.46 & 0.459025685845696 & 0.00097431415430388 \tabularnewline
62 & 0.47 & 0.463008216742976 & 0.00699178325702354 \tabularnewline
63 & 0.47 & 0.46864117293212 & 0.00135882706787982 \tabularnewline
64 & 0.47 & 0.471885428322728 & -0.00188542832272848 \tabularnewline
65 & 0.47 & 0.468469817295679 & 0.00153018270432076 \tabularnewline
66 & 0.47 & 0.469565730172129 & 0.000434269827870926 \tabularnewline
67 & 0.47 & 0.472095823205018 & -0.0020958232050185 \tabularnewline
68 & 0.47 & 0.471443579426219 & -0.00144357942621898 \tabularnewline
69 & 0.47 & 0.470061621557005 & -6.16215570045653e-05 \tabularnewline
70 & 0.47 & 0.472320438823448 & -0.00232043882344773 \tabularnewline
71 & 0.47 & 0.471356374901362 & -0.00135637490136215 \tabularnewline
72 & 0.47 & 0.470557974629451 & -0.000557974629451452 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121747&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]0.41[/C][C]0.409910561495626[/C][C]8.94385043740398e-05[/C][/ROW]
[ROW][C]14[/C][C]0.41[/C][C]0.41012333698141[/C][C]-0.000123336981409539[/C][/ROW]
[ROW][C]15[/C][C]0.41[/C][C]0.410139897373554[/C][C]-0.000139897373553799[/C][/ROW]
[ROW][C]16[/C][C]0.41[/C][C]0.409722938299467[/C][C]0.000277061700532488[/C][/ROW]
[ROW][C]17[/C][C]0.41[/C][C]0.409276230044584[/C][C]0.000723769955416176[/C][/ROW]
[ROW][C]18[/C][C]0.41[/C][C]0.409249580559903[/C][C]0.000750419440096961[/C][/ROW]
[ROW][C]19[/C][C]0.41[/C][C]0.412170784068899[/C][C]-0.00217078406889887[/C][/ROW]
[ROW][C]20[/C][C]0.41[/C][C]0.410308310797649[/C][C]-0.000308310797648648[/C][/ROW]
[ROW][C]21[/C][C]0.41[/C][C]0.410143510864863[/C][C]-0.000143510864863083[/C][/ROW]
[ROW][C]22[/C][C]0.42[/C][C]0.410127266885869[/C][C]0.0098727331141305[/C][/ROW]
[ROW][C]23[/C][C]0.42[/C][C]0.419405841345727[/C][C]0.00059415865427298[/C][/ROW]
[ROW][C]24[/C][C]0.42[/C][C]0.420213385982037[/C][C]-0.000213385982037462[/C][/ROW]
[ROW][C]25[/C][C]0.42[/C][C]0.42028777462779[/C][C]-0.000287774627789616[/C][/ROW]
[ROW][C]26[/C][C]0.42[/C][C]0.420263393099985[/C][C]-0.000263393099985076[/C][/ROW]
[ROW][C]27[/C][C]0.42[/C][C]0.420274837118587[/C][C]-0.000274837118586724[/C][/ROW]
[ROW][C]28[/C][C]0.42[/C][C]0.419883452885855[/C][C]0.000116547114144716[/C][/ROW]
[ROW][C]29[/C][C]0.42[/C][C]0.419428887912329[/C][C]0.000571112087671355[/C][/ROW]
[ROW][C]30[/C][C]0.42[/C][C]0.419362198615303[/C][C]0.000637801384696601[/C][/ROW]
[ROW][C]31[/C][C]0.42[/C][C]0.422088671475199[/C][C]-0.00208867147519926[/C][/ROW]
[ROW][C]32[/C][C]0.42[/C][C]0.420583058047971[/C][C]-0.000583058047971208[/C][/ROW]
[ROW][C]33[/C][C]0.42[/C][C]0.420295245913563[/C][C]-0.000295245913562947[/C][/ROW]
[ROW][C]34[/C][C]0.42[/C][C]0.421116845638211[/C][C]-0.00111684563821135[/C][/ROW]
[ROW][C]35[/C][C]0.42[/C][C]0.41950722060541[/C][C]0.000492779394590026[/C][/ROW]
[ROW][C]36[/C][C]0.43[/C][C]0.420105409046739[/C][C]0.00989459095326095[/C][/ROW]
[ROW][C]37[/C][C]0.43[/C][C]0.42950826132353[/C][C]0.000491738676469455[/C][/ROW]
[ROW][C]38[/C][C]0.44[/C][C]0.430306447060416[/C][C]0.00969355293958424[/C][/ROW]
[ROW][C]39[/C][C]0.44[/C][C]0.439667101644497[/C][C]0.000332898355502542[/C][/ROW]
[ROW][C]40[/C][C]0.44[/C][C]0.440107206085745[/C][C]-0.000107206085745326[/C][/ROW]
[ROW][C]41[/C][C]0.44[/C][C]0.439706075963128[/C][C]0.000293924036872228[/C][/ROW]
[ROW][C]42[/C][C]0.44[/C][C]0.43960290281348[/C][C]0.000397097186520146[/C][/ROW]
[ROW][C]43[/C][C]0.44[/C][C]0.442200424281174[/C][C]-0.00220042428117367[/C][/ROW]
[ROW][C]44[/C][C]0.44[/C][C]0.440983673304023[/C][C]-0.000983673304022936[/C][/ROW]
[ROW][C]45[/C][C]0.44[/C][C]0.440597952773114[/C][C]-0.000597952773114085[/C][/ROW]
[ROW][C]46[/C][C]0.44[/C][C]0.441347497928141[/C][C]-0.00134749792814121[/C][/ROW]
[ROW][C]47[/C][C]0.44[/C][C]0.439868014508225[/C][C]0.000131985491775288[/C][/ROW]
[ROW][C]48[/C][C]0.44[/C][C]0.441191778795396[/C][C]-0.00119177879539639[/C][/ROW]
[ROW][C]49[/C][C]0.43[/C][C]0.439704532677982[/C][C]-0.00970453267798227[/C][/ROW]
[ROW][C]50[/C][C]0.44[/C][C]0.431886015934066[/C][C]0.00811398406593383[/C][/ROW]
[ROW][C]51[/C][C]0.44[/C][C]0.438900026623818[/C][C]0.00109997337618228[/C][/ROW]
[ROW][C]52[/C][C]0.46[/C][C]0.439916131014449[/C][C]0.0200838689855511[/C][/ROW]
[ROW][C]53[/C][C]0.46[/C][C]0.458170731405145[/C][C]0.00182926859485477[/C][/ROW]
[ROW][C]54[/C][C]0.46[/C][C]0.459662818603304[/C][C]0.000337181396695918[/C][/ROW]
[ROW][C]55[/C][C]0.46[/C][C]0.46227131537547[/C][C]-0.00227131537546976[/C][/ROW]
[ROW][C]56[/C][C]0.46[/C][C]0.461335037728099[/C][C]-0.00133503772809945[/C][/ROW]
[ROW][C]57[/C][C]0.45[/C][C]0.460881477536563[/C][C]-0.0108814775365635[/C][/ROW]
[ROW][C]58[/C][C]0.45[/C][C]0.452257087949292[/C][C]-0.00225708794929202[/C][/ROW]
[ROW][C]59[/C][C]0.46[/C][C]0.450117386618263[/C][C]0.0098826133817374[/C][/ROW]
[ROW][C]60[/C][C]0.46[/C][C]0.460462176689568[/C][C]-0.000462176689567939[/C][/ROW]
[ROW][C]61[/C][C]0.46[/C][C]0.459025685845696[/C][C]0.00097431415430388[/C][/ROW]
[ROW][C]62[/C][C]0.47[/C][C]0.463008216742976[/C][C]0.00699178325702354[/C][/ROW]
[ROW][C]63[/C][C]0.47[/C][C]0.46864117293212[/C][C]0.00135882706787982[/C][/ROW]
[ROW][C]64[/C][C]0.47[/C][C]0.471885428322728[/C][C]-0.00188542832272848[/C][/ROW]
[ROW][C]65[/C][C]0.47[/C][C]0.468469817295679[/C][C]0.00153018270432076[/C][/ROW]
[ROW][C]66[/C][C]0.47[/C][C]0.469565730172129[/C][C]0.000434269827870926[/C][/ROW]
[ROW][C]67[/C][C]0.47[/C][C]0.472095823205018[/C][C]-0.0020958232050185[/C][/ROW]
[ROW][C]68[/C][C]0.47[/C][C]0.471443579426219[/C][C]-0.00144357942621898[/C][/ROW]
[ROW][C]69[/C][C]0.47[/C][C]0.470061621557005[/C][C]-6.16215570045653e-05[/C][/ROW]
[ROW][C]70[/C][C]0.47[/C][C]0.472320438823448[/C][C]-0.00232043882344773[/C][/ROW]
[ROW][C]71[/C][C]0.47[/C][C]0.471356374901362[/C][C]-0.00135637490136215[/C][/ROW]
[ROW][C]72[/C][C]0.47[/C][C]0.470557974629451[/C][C]-0.000557974629451452[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121747&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121747&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.410.4099105614956268.94385043740398e-05
140.410.41012333698141-0.000123336981409539
150.410.410139897373554-0.000139897373553799
160.410.4097229382994670.000277061700532488
170.410.4092762300445840.000723769955416176
180.410.4092495805599030.000750419440096961
190.410.412170784068899-0.00217078406889887
200.410.410308310797649-0.000308310797648648
210.410.410143510864863-0.000143510864863083
220.420.4101272668858690.0098727331141305
230.420.4194058413457270.00059415865427298
240.420.420213385982037-0.000213385982037462
250.420.42028777462779-0.000287774627789616
260.420.420263393099985-0.000263393099985076
270.420.420274837118587-0.000274837118586724
280.420.4198834528858550.000116547114144716
290.420.4194288879123290.000571112087671355
300.420.4193621986153030.000637801384696601
310.420.422088671475199-0.00208867147519926
320.420.420583058047971-0.000583058047971208
330.420.420295245913563-0.000295245913562947
340.420.421116845638211-0.00111684563821135
350.420.419507220605410.000492779394590026
360.430.4201054090467390.00989459095326095
370.430.429508261323530.000491738676469455
380.440.4303064470604160.00969355293958424
390.440.4396671016444970.000332898355502542
400.440.440107206085745-0.000107206085745326
410.440.4397060759631280.000293924036872228
420.440.439602902813480.000397097186520146
430.440.442200424281174-0.00220042428117367
440.440.440983673304023-0.000983673304022936
450.440.440597952773114-0.000597952773114085
460.440.441347497928141-0.00134749792814121
470.440.4398680145082250.000131985491775288
480.440.441191778795396-0.00119177879539639
490.430.439704532677982-0.00970453267798227
500.440.4318860159340660.00811398406593383
510.440.4389000266238180.00109997337618228
520.460.4399161310144490.0200838689855511
530.460.4581707314051450.00182926859485477
540.460.4596628186033040.000337181396695918
550.460.46227131537547-0.00227131537546976
560.460.461335037728099-0.00133503772809945
570.450.460881477536563-0.0108814775365635
580.450.452257087949292-0.00225708794929202
590.460.4501173866182630.0098826133817374
600.460.460462176689568-0.000462176689567939
610.460.4590256858456960.00097431415430388
620.470.4630082167429760.00699178325702354
630.470.468641172932120.00135882706787982
640.470.471885428322728-0.00188542832272848
650.470.4684698172956790.00153018270432076
660.470.4695657301721290.000434269827870926
670.470.472095823205018-0.0020958232050185
680.470.471443579426219-0.00144357942621898
690.470.470061621557005-6.16215570045653e-05
700.470.472320438823448-0.00232043882344773
710.470.471356374901362-0.00135637490136215
720.470.470557974629451-0.000557974629451452







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.4691464094240260.4604614902495790.477831328598473
740.4728155567061520.4609308546735960.484700258738707
750.4714701715553230.4570775267208870.485862816389758
760.4730846205667320.4564412503792260.489727990754237
770.4715881192708830.4529959618512560.490180276690509
780.4710820191320240.4506575831575760.491506455106472
790.4728874901677060.4506510063413950.495123973994017
800.4741280473158620.4501867758703780.498069318761345
810.4741173561227350.4485968508044760.499637861440995
820.4761888386139870.4490384435033760.503339233724598
830.4774080090885780.4487165776817890.506099440495366
840.477907428000934-12.762181070505513.7179959265073

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.469146409424026 & 0.460461490249579 & 0.477831328598473 \tabularnewline
74 & 0.472815556706152 & 0.460930854673596 & 0.484700258738707 \tabularnewline
75 & 0.471470171555323 & 0.457077526720887 & 0.485862816389758 \tabularnewline
76 & 0.473084620566732 & 0.456441250379226 & 0.489727990754237 \tabularnewline
77 & 0.471588119270883 & 0.452995961851256 & 0.490180276690509 \tabularnewline
78 & 0.471082019132024 & 0.450657583157576 & 0.491506455106472 \tabularnewline
79 & 0.472887490167706 & 0.450651006341395 & 0.495123973994017 \tabularnewline
80 & 0.474128047315862 & 0.450186775870378 & 0.498069318761345 \tabularnewline
81 & 0.474117356122735 & 0.448596850804476 & 0.499637861440995 \tabularnewline
82 & 0.476188838613987 & 0.449038443503376 & 0.503339233724598 \tabularnewline
83 & 0.477408009088578 & 0.448716577681789 & 0.506099440495366 \tabularnewline
84 & 0.477907428000934 & -12.7621810705055 & 13.7179959265073 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121747&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]73[/C][C]0.469146409424026[/C][C]0.460461490249579[/C][C]0.477831328598473[/C][/ROW]
[ROW][C]74[/C][C]0.472815556706152[/C][C]0.460930854673596[/C][C]0.484700258738707[/C][/ROW]
[ROW][C]75[/C][C]0.471470171555323[/C][C]0.457077526720887[/C][C]0.485862816389758[/C][/ROW]
[ROW][C]76[/C][C]0.473084620566732[/C][C]0.456441250379226[/C][C]0.489727990754237[/C][/ROW]
[ROW][C]77[/C][C]0.471588119270883[/C][C]0.452995961851256[/C][C]0.490180276690509[/C][/ROW]
[ROW][C]78[/C][C]0.471082019132024[/C][C]0.450657583157576[/C][C]0.491506455106472[/C][/ROW]
[ROW][C]79[/C][C]0.472887490167706[/C][C]0.450651006341395[/C][C]0.495123973994017[/C][/ROW]
[ROW][C]80[/C][C]0.474128047315862[/C][C]0.450186775870378[/C][C]0.498069318761345[/C][/ROW]
[ROW][C]81[/C][C]0.474117356122735[/C][C]0.448596850804476[/C][C]0.499637861440995[/C][/ROW]
[ROW][C]82[/C][C]0.476188838613987[/C][C]0.449038443503376[/C][C]0.503339233724598[/C][/ROW]
[ROW][C]83[/C][C]0.477408009088578[/C][C]0.448716577681789[/C][C]0.506099440495366[/C][/ROW]
[ROW][C]84[/C][C]0.477907428000934[/C][C]-12.7621810705055[/C][C]13.7179959265073[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121747&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121747&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.4691464094240260.4604614902495790.477831328598473
740.4728155567061520.4609308546735960.484700258738707
750.4714701715553230.4570775267208870.485862816389758
760.4730846205667320.4564412503792260.489727990754237
770.4715881192708830.4529959618512560.490180276690509
780.4710820191320240.4506575831575760.491506455106472
790.4728874901677060.4506510063413950.495123973994017
800.4741280473158620.4501867758703780.498069318761345
810.4741173561227350.4485968508044760.499637861440995
820.4761888386139870.4490384435033760.503339233724598
830.4774080090885780.4487165776817890.506099440495366
840.477907428000934-12.762181070505513.7179959265073



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')