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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 computationThu, 03 Jun 2010 12:04:55 +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/2010/Jun/03/t1275566780mj1r5qmzqchoddb.htm/, Retrieved Sun, 05 May 2024 13:51:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77361, Retrieved Sun, 05 May 2024 13:51:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact182
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Triple exponentia...] [2010-06-03 12:04:55] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,46
0,46
0,46
0,45
0,45
0,46
0,46
0,46
0,46
0,46
0,44
0,44
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
0,43
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
0,41
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77361&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77361&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77361&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.731166173353888
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.731166173353888 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77361&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]0.731166173353888[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77361&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77361&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
alpha0.731166173353888
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.460.466830516713388-0.00683051671338769
140.460.461427505600215-0.00142750560021521
150.450.449972241469992.77585300099692e-05
160.450.450404624744055-0.000404624744055115
170.460.461375566736432-0.00137556673643241
180.460.461642562585364-0.00164256258536388
190.460.4541468750940090.00585312490599121
200.460.4579908247943750.00200917520562460
210.460.4594351189137580.000564881086241864
220.440.460236399386104-0.0202363993861041
230.440.445377537437643-0.00537753743764258
240.430.431592291510087-0.00159229151008661
250.440.4282538417944430.0117461582055569
260.440.4377700755170250.00222992448297515
270.440.4297743882757880.0102256117242123
280.440.4375037725917210.00249622740827943
290.440.450043144789146-0.0100431447891458
300.440.443807166053091-0.00380716605309078
310.440.4368546144696460.00314538553035443
320.440.4376934890968540.00230651090314604
330.440.4389289984797390.00107100152026091
340.440.4345101319146430.00548986808535729
350.440.442425766086351-0.00242576608635148
360.430.431803936589844-0.00180393658984418
370.430.431837409477797-0.00183740947779731
380.420.428869689010611-0.00886968901061114
390.420.415112972282290.00488702771771032
400.420.4168874958303280.00311250416967246
410.420.426056944620637-0.00605694462063683
420.420.424236971520616-0.00423697152061631
430.420.4188797223171820.00112027768281830
440.420.4180300096710730.00196999032892742
450.420.4186647337426060.00133526625739361
460.420.4157420950061350.00425790499386514
470.420.420480813730523-0.000480813730522611
480.420.4117830379481390.00821696205186068
490.420.4190595054603760.000940494539623749
500.420.4162509578515640.0037490421484358
510.420.415413339090620.00458666090938031
520.410.416489742659472-0.00648974265947211
530.410.416045043366751-0.00604504336675132
540.410.414628009118193-0.00462800911819339
550.410.410415342127111-0.000415342127110863
560.410.4086738116636320.00132618833636827
570.410.4086594194658730.00134058053412711
580.410.4065639807533930.00343601924660725
590.410.4093858957913720.000614104208627952
600.410.4039112804136890.00608871958631058
610.410.4076596645728260.00234033542717355
620.410.4066612356821440.00333876431785562
630.410.4057942075558570.00420579244414276
640.410.4037017376234760.00629826237652359
650.410.412685999968824-0.00268599996882368
660.410.414103841193898-0.00410384119389845
670.410.411411052462003-0.00141105246200296
680.410.4094090966564360.000590903343563487
690.410.4088599880647250.00114001193527502
700.410.4071764963436240.00282350365637624
710.410.408790257229720.00120974277028024
720.410.4052076257377020.00479237426229845

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.46 & 0.466830516713388 & -0.00683051671338769 \tabularnewline
14 & 0.46 & 0.461427505600215 & -0.00142750560021521 \tabularnewline
15 & 0.45 & 0.44997224146999 & 2.77585300099692e-05 \tabularnewline
16 & 0.45 & 0.450404624744055 & -0.000404624744055115 \tabularnewline
17 & 0.46 & 0.461375566736432 & -0.00137556673643241 \tabularnewline
18 & 0.46 & 0.461642562585364 & -0.00164256258536388 \tabularnewline
19 & 0.46 & 0.454146875094009 & 0.00585312490599121 \tabularnewline
20 & 0.46 & 0.457990824794375 & 0.00200917520562460 \tabularnewline
21 & 0.46 & 0.459435118913758 & 0.000564881086241864 \tabularnewline
22 & 0.44 & 0.460236399386104 & -0.0202363993861041 \tabularnewline
23 & 0.44 & 0.445377537437643 & -0.00537753743764258 \tabularnewline
24 & 0.43 & 0.431592291510087 & -0.00159229151008661 \tabularnewline
25 & 0.44 & 0.428253841794443 & 0.0117461582055569 \tabularnewline
26 & 0.44 & 0.437770075517025 & 0.00222992448297515 \tabularnewline
27 & 0.44 & 0.429774388275788 & 0.0102256117242123 \tabularnewline
28 & 0.44 & 0.437503772591721 & 0.00249622740827943 \tabularnewline
29 & 0.44 & 0.450043144789146 & -0.0100431447891458 \tabularnewline
30 & 0.44 & 0.443807166053091 & -0.00380716605309078 \tabularnewline
31 & 0.44 & 0.436854614469646 & 0.00314538553035443 \tabularnewline
32 & 0.44 & 0.437693489096854 & 0.00230651090314604 \tabularnewline
33 & 0.44 & 0.438928998479739 & 0.00107100152026091 \tabularnewline
34 & 0.44 & 0.434510131914643 & 0.00548986808535729 \tabularnewline
35 & 0.44 & 0.442425766086351 & -0.00242576608635148 \tabularnewline
36 & 0.43 & 0.431803936589844 & -0.00180393658984418 \tabularnewline
37 & 0.43 & 0.431837409477797 & -0.00183740947779731 \tabularnewline
38 & 0.42 & 0.428869689010611 & -0.00886968901061114 \tabularnewline
39 & 0.42 & 0.41511297228229 & 0.00488702771771032 \tabularnewline
40 & 0.42 & 0.416887495830328 & 0.00311250416967246 \tabularnewline
41 & 0.42 & 0.426056944620637 & -0.00605694462063683 \tabularnewline
42 & 0.42 & 0.424236971520616 & -0.00423697152061631 \tabularnewline
43 & 0.42 & 0.418879722317182 & 0.00112027768281830 \tabularnewline
44 & 0.42 & 0.418030009671073 & 0.00196999032892742 \tabularnewline
45 & 0.42 & 0.418664733742606 & 0.00133526625739361 \tabularnewline
46 & 0.42 & 0.415742095006135 & 0.00425790499386514 \tabularnewline
47 & 0.42 & 0.420480813730523 & -0.000480813730522611 \tabularnewline
48 & 0.42 & 0.411783037948139 & 0.00821696205186068 \tabularnewline
49 & 0.42 & 0.419059505460376 & 0.000940494539623749 \tabularnewline
50 & 0.42 & 0.416250957851564 & 0.0037490421484358 \tabularnewline
51 & 0.42 & 0.41541333909062 & 0.00458666090938031 \tabularnewline
52 & 0.41 & 0.416489742659472 & -0.00648974265947211 \tabularnewline
53 & 0.41 & 0.416045043366751 & -0.00604504336675132 \tabularnewline
54 & 0.41 & 0.414628009118193 & -0.00462800911819339 \tabularnewline
55 & 0.41 & 0.410415342127111 & -0.000415342127110863 \tabularnewline
56 & 0.41 & 0.408673811663632 & 0.00132618833636827 \tabularnewline
57 & 0.41 & 0.408659419465873 & 0.00134058053412711 \tabularnewline
58 & 0.41 & 0.406563980753393 & 0.00343601924660725 \tabularnewline
59 & 0.41 & 0.409385895791372 & 0.000614104208627952 \tabularnewline
60 & 0.41 & 0.403911280413689 & 0.00608871958631058 \tabularnewline
61 & 0.41 & 0.407659664572826 & 0.00234033542717355 \tabularnewline
62 & 0.41 & 0.406661235682144 & 0.00333876431785562 \tabularnewline
63 & 0.41 & 0.405794207555857 & 0.00420579244414276 \tabularnewline
64 & 0.41 & 0.403701737623476 & 0.00629826237652359 \tabularnewline
65 & 0.41 & 0.412685999968824 & -0.00268599996882368 \tabularnewline
66 & 0.41 & 0.414103841193898 & -0.00410384119389845 \tabularnewline
67 & 0.41 & 0.411411052462003 & -0.00141105246200296 \tabularnewline
68 & 0.41 & 0.409409096656436 & 0.000590903343563487 \tabularnewline
69 & 0.41 & 0.408859988064725 & 0.00114001193527502 \tabularnewline
70 & 0.41 & 0.407176496343624 & 0.00282350365637624 \tabularnewline
71 & 0.41 & 0.40879025722972 & 0.00120974277028024 \tabularnewline
72 & 0.41 & 0.405207625737702 & 0.00479237426229845 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77361&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]0.46[/C][C]0.466830516713388[/C][C]-0.00683051671338769[/C][/ROW]
[ROW][C]14[/C][C]0.46[/C][C]0.461427505600215[/C][C]-0.00142750560021521[/C][/ROW]
[ROW][C]15[/C][C]0.45[/C][C]0.44997224146999[/C][C]2.77585300099692e-05[/C][/ROW]
[ROW][C]16[/C][C]0.45[/C][C]0.450404624744055[/C][C]-0.000404624744055115[/C][/ROW]
[ROW][C]17[/C][C]0.46[/C][C]0.461375566736432[/C][C]-0.00137556673643241[/C][/ROW]
[ROW][C]18[/C][C]0.46[/C][C]0.461642562585364[/C][C]-0.00164256258536388[/C][/ROW]
[ROW][C]19[/C][C]0.46[/C][C]0.454146875094009[/C][C]0.00585312490599121[/C][/ROW]
[ROW][C]20[/C][C]0.46[/C][C]0.457990824794375[/C][C]0.00200917520562460[/C][/ROW]
[ROW][C]21[/C][C]0.46[/C][C]0.459435118913758[/C][C]0.000564881086241864[/C][/ROW]
[ROW][C]22[/C][C]0.44[/C][C]0.460236399386104[/C][C]-0.0202363993861041[/C][/ROW]
[ROW][C]23[/C][C]0.44[/C][C]0.445377537437643[/C][C]-0.00537753743764258[/C][/ROW]
[ROW][C]24[/C][C]0.43[/C][C]0.431592291510087[/C][C]-0.00159229151008661[/C][/ROW]
[ROW][C]25[/C][C]0.44[/C][C]0.428253841794443[/C][C]0.0117461582055569[/C][/ROW]
[ROW][C]26[/C][C]0.44[/C][C]0.437770075517025[/C][C]0.00222992448297515[/C][/ROW]
[ROW][C]27[/C][C]0.44[/C][C]0.429774388275788[/C][C]0.0102256117242123[/C][/ROW]
[ROW][C]28[/C][C]0.44[/C][C]0.437503772591721[/C][C]0.00249622740827943[/C][/ROW]
[ROW][C]29[/C][C]0.44[/C][C]0.450043144789146[/C][C]-0.0100431447891458[/C][/ROW]
[ROW][C]30[/C][C]0.44[/C][C]0.443807166053091[/C][C]-0.00380716605309078[/C][/ROW]
[ROW][C]31[/C][C]0.44[/C][C]0.436854614469646[/C][C]0.00314538553035443[/C][/ROW]
[ROW][C]32[/C][C]0.44[/C][C]0.437693489096854[/C][C]0.00230651090314604[/C][/ROW]
[ROW][C]33[/C][C]0.44[/C][C]0.438928998479739[/C][C]0.00107100152026091[/C][/ROW]
[ROW][C]34[/C][C]0.44[/C][C]0.434510131914643[/C][C]0.00548986808535729[/C][/ROW]
[ROW][C]35[/C][C]0.44[/C][C]0.442425766086351[/C][C]-0.00242576608635148[/C][/ROW]
[ROW][C]36[/C][C]0.43[/C][C]0.431803936589844[/C][C]-0.00180393658984418[/C][/ROW]
[ROW][C]37[/C][C]0.43[/C][C]0.431837409477797[/C][C]-0.00183740947779731[/C][/ROW]
[ROW][C]38[/C][C]0.42[/C][C]0.428869689010611[/C][C]-0.00886968901061114[/C][/ROW]
[ROW][C]39[/C][C]0.42[/C][C]0.41511297228229[/C][C]0.00488702771771032[/C][/ROW]
[ROW][C]40[/C][C]0.42[/C][C]0.416887495830328[/C][C]0.00311250416967246[/C][/ROW]
[ROW][C]41[/C][C]0.42[/C][C]0.426056944620637[/C][C]-0.00605694462063683[/C][/ROW]
[ROW][C]42[/C][C]0.42[/C][C]0.424236971520616[/C][C]-0.00423697152061631[/C][/ROW]
[ROW][C]43[/C][C]0.42[/C][C]0.418879722317182[/C][C]0.00112027768281830[/C][/ROW]
[ROW][C]44[/C][C]0.42[/C][C]0.418030009671073[/C][C]0.00196999032892742[/C][/ROW]
[ROW][C]45[/C][C]0.42[/C][C]0.418664733742606[/C][C]0.00133526625739361[/C][/ROW]
[ROW][C]46[/C][C]0.42[/C][C]0.415742095006135[/C][C]0.00425790499386514[/C][/ROW]
[ROW][C]47[/C][C]0.42[/C][C]0.420480813730523[/C][C]-0.000480813730522611[/C][/ROW]
[ROW][C]48[/C][C]0.42[/C][C]0.411783037948139[/C][C]0.00821696205186068[/C][/ROW]
[ROW][C]49[/C][C]0.42[/C][C]0.419059505460376[/C][C]0.000940494539623749[/C][/ROW]
[ROW][C]50[/C][C]0.42[/C][C]0.416250957851564[/C][C]0.0037490421484358[/C][/ROW]
[ROW][C]51[/C][C]0.42[/C][C]0.41541333909062[/C][C]0.00458666090938031[/C][/ROW]
[ROW][C]52[/C][C]0.41[/C][C]0.416489742659472[/C][C]-0.00648974265947211[/C][/ROW]
[ROW][C]53[/C][C]0.41[/C][C]0.416045043366751[/C][C]-0.00604504336675132[/C][/ROW]
[ROW][C]54[/C][C]0.41[/C][C]0.414628009118193[/C][C]-0.00462800911819339[/C][/ROW]
[ROW][C]55[/C][C]0.41[/C][C]0.410415342127111[/C][C]-0.000415342127110863[/C][/ROW]
[ROW][C]56[/C][C]0.41[/C][C]0.408673811663632[/C][C]0.00132618833636827[/C][/ROW]
[ROW][C]57[/C][C]0.41[/C][C]0.408659419465873[/C][C]0.00134058053412711[/C][/ROW]
[ROW][C]58[/C][C]0.41[/C][C]0.406563980753393[/C][C]0.00343601924660725[/C][/ROW]
[ROW][C]59[/C][C]0.41[/C][C]0.409385895791372[/C][C]0.000614104208627952[/C][/ROW]
[ROW][C]60[/C][C]0.41[/C][C]0.403911280413689[/C][C]0.00608871958631058[/C][/ROW]
[ROW][C]61[/C][C]0.41[/C][C]0.407659664572826[/C][C]0.00234033542717355[/C][/ROW]
[ROW][C]62[/C][C]0.41[/C][C]0.406661235682144[/C][C]0.00333876431785562[/C][/ROW]
[ROW][C]63[/C][C]0.41[/C][C]0.405794207555857[/C][C]0.00420579244414276[/C][/ROW]
[ROW][C]64[/C][C]0.41[/C][C]0.403701737623476[/C][C]0.00629826237652359[/C][/ROW]
[ROW][C]65[/C][C]0.41[/C][C]0.412685999968824[/C][C]-0.00268599996882368[/C][/ROW]
[ROW][C]66[/C][C]0.41[/C][C]0.414103841193898[/C][C]-0.00410384119389845[/C][/ROW]
[ROW][C]67[/C][C]0.41[/C][C]0.411411052462003[/C][C]-0.00141105246200296[/C][/ROW]
[ROW][C]68[/C][C]0.41[/C][C]0.409409096656436[/C][C]0.000590903343563487[/C][/ROW]
[ROW][C]69[/C][C]0.41[/C][C]0.408859988064725[/C][C]0.00114001193527502[/C][/ROW]
[ROW][C]70[/C][C]0.41[/C][C]0.407176496343624[/C][C]0.00282350365637624[/C][/ROW]
[ROW][C]71[/C][C]0.41[/C][C]0.40879025722972[/C][C]0.00120974277028024[/C][/ROW]
[ROW][C]72[/C][C]0.41[/C][C]0.405207625737702[/C][C]0.00479237426229845[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77361&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77361&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
130.460.466830516713388-0.00683051671338769
140.460.461427505600215-0.00142750560021521
150.450.449972241469992.77585300099692e-05
160.450.450404624744055-0.000404624744055115
170.460.461375566736432-0.00137556673643241
180.460.461642562585364-0.00164256258536388
190.460.4541468750940090.00585312490599121
200.460.4579908247943750.00200917520562460
210.460.4594351189137580.000564881086241864
220.440.460236399386104-0.0202363993861041
230.440.445377537437643-0.00537753743764258
240.430.431592291510087-0.00159229151008661
250.440.4282538417944430.0117461582055569
260.440.4377700755170250.00222992448297515
270.440.4297743882757880.0102256117242123
280.440.4375037725917210.00249622740827943
290.440.450043144789146-0.0100431447891458
300.440.443807166053091-0.00380716605309078
310.440.4368546144696460.00314538553035443
320.440.4376934890968540.00230651090314604
330.440.4389289984797390.00107100152026091
340.440.4345101319146430.00548986808535729
350.440.442425766086351-0.00242576608635148
360.430.431803936589844-0.00180393658984418
370.430.431837409477797-0.00183740947779731
380.420.428869689010611-0.00886968901061114
390.420.415112972282290.00488702771771032
400.420.4168874958303280.00311250416967246
410.420.426056944620637-0.00605694462063683
420.420.424236971520616-0.00423697152061631
430.420.4188797223171820.00112027768281830
440.420.4180300096710730.00196999032892742
450.420.4186647337426060.00133526625739361
460.420.4157420950061350.00425790499386514
470.420.420480813730523-0.000480813730522611
480.420.4117830379481390.00821696205186068
490.420.4190595054603760.000940494539623749
500.420.4162509578515640.0037490421484358
510.420.415413339090620.00458666090938031
520.410.416489742659472-0.00648974265947211
530.410.416045043366751-0.00604504336675132
540.410.414628009118193-0.00462800911819339
550.410.410415342127111-0.000415342127110863
560.410.4086738116636320.00132618833636827
570.410.4086594194658730.00134058053412711
580.410.4065639807533930.00343601924660725
590.410.4093858957913720.000614104208627952
600.410.4039112804136890.00608871958631058
610.410.4076596645728260.00234033542717355
620.410.4066612356821440.00333876431785562
630.410.4057942075558570.00420579244414276
640.410.4037017376234760.00629826237652359
650.410.412685999968824-0.00268599996882368
660.410.414103841193898-0.00410384119389845
670.410.411411052462003-0.00141105246200296
680.410.4094090966564360.000590903343563487
690.410.4088599880647250.00114001193527502
700.410.4071764963436240.00282350365637624
710.410.408790257229720.00120974277028024
720.410.4052076257377020.00479237426229845







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.4069993132016950.3969881261708020.417010500232588
740.4045615778591240.3921724816276390.416950674090608
750.4015024369181960.3871459251733210.415858948663071
760.3969486802992990.3809156648395110.412981695759087
770.3988073819228210.3810892685206660.416525495324976
780.4016841292967610.3823690957234460.420999162870076
790.4026685086845830.3819247876008680.423412229768297
800.4022215173964030.380189041679570.424253993113235
810.4013792804699370.3781430676243790.424615493315496
820.3993280525347510.3750062060721740.423649898997329
830.3984331124943450.3730141269883990.42385209800029
840.394981904427651-7.66118020577148.4511440146267

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.406999313201695 & 0.396988126170802 & 0.417010500232588 \tabularnewline
74 & 0.404561577859124 & 0.392172481627639 & 0.416950674090608 \tabularnewline
75 & 0.401502436918196 & 0.387145925173321 & 0.415858948663071 \tabularnewline
76 & 0.396948680299299 & 0.380915664839511 & 0.412981695759087 \tabularnewline
77 & 0.398807381922821 & 0.381089268520666 & 0.416525495324976 \tabularnewline
78 & 0.401684129296761 & 0.382369095723446 & 0.420999162870076 \tabularnewline
79 & 0.402668508684583 & 0.381924787600868 & 0.423412229768297 \tabularnewline
80 & 0.402221517396403 & 0.38018904167957 & 0.424253993113235 \tabularnewline
81 & 0.401379280469937 & 0.378143067624379 & 0.424615493315496 \tabularnewline
82 & 0.399328052534751 & 0.375006206072174 & 0.423649898997329 \tabularnewline
83 & 0.398433112494345 & 0.373014126988399 & 0.42385209800029 \tabularnewline
84 & 0.394981904427651 & -7.6611802057714 & 8.4511440146267 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77361&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]0.406999313201695[/C][C]0.396988126170802[/C][C]0.417010500232588[/C][/ROW]
[ROW][C]74[/C][C]0.404561577859124[/C][C]0.392172481627639[/C][C]0.416950674090608[/C][/ROW]
[ROW][C]75[/C][C]0.401502436918196[/C][C]0.387145925173321[/C][C]0.415858948663071[/C][/ROW]
[ROW][C]76[/C][C]0.396948680299299[/C][C]0.380915664839511[/C][C]0.412981695759087[/C][/ROW]
[ROW][C]77[/C][C]0.398807381922821[/C][C]0.381089268520666[/C][C]0.416525495324976[/C][/ROW]
[ROW][C]78[/C][C]0.401684129296761[/C][C]0.382369095723446[/C][C]0.420999162870076[/C][/ROW]
[ROW][C]79[/C][C]0.402668508684583[/C][C]0.381924787600868[/C][C]0.423412229768297[/C][/ROW]
[ROW][C]80[/C][C]0.402221517396403[/C][C]0.38018904167957[/C][C]0.424253993113235[/C][/ROW]
[ROW][C]81[/C][C]0.401379280469937[/C][C]0.378143067624379[/C][C]0.424615493315496[/C][/ROW]
[ROW][C]82[/C][C]0.399328052534751[/C][C]0.375006206072174[/C][C]0.423649898997329[/C][/ROW]
[ROW][C]83[/C][C]0.398433112494345[/C][C]0.373014126988399[/C][C]0.42385209800029[/C][/ROW]
[ROW][C]84[/C][C]0.394981904427651[/C][C]-7.6611802057714[/C][C]8.4511440146267[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77361&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77361&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
730.4069993132016950.3969881261708020.417010500232588
740.4045615778591240.3921724816276390.416950674090608
750.4015024369181960.3871459251733210.415858948663071
760.3969486802992990.3809156648395110.412981695759087
770.3988073819228210.3810892685206660.416525495324976
780.4016841292967610.3823690957234460.420999162870076
790.4026685086845830.3819247876008680.423412229768297
800.4022215173964030.380189041679570.424253993113235
810.4013792804699370.3781430676243790.424615493315496
820.3993280525347510.3750062060721740.423649898997329
830.3984331124943450.3730141269883990.42385209800029
840.394981904427651-7.66118020577148.4511440146267



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')