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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 computationWed, 23 May 2012 11:18:57 -0400
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/May/23/t1337786412ag9kesqnnbbmh1u.htm/, Retrieved Sun, 28 Apr 2024 20:54:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167205, Retrieved Sun, 28 Apr 2024 20:54:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 oef 2] [2012-05-23 15:18:57] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
34,74
34,89
34,98
34,93
35,01
35,03
35,03
34,98
34,92
35,04
35,21
35,21
35,21
35,26
35,45
35,53
35,53
35,57
35,57
35,57
35,63
35,92
36,05
36,1
36,1
36,02
36,07
36,17
36,52
36,49
36,49
36,48
36,62
36,63
36,7
36,7
36,7
36,69
36,86
36,85
36,83
36,88
36,88
36,92
36,93
37,06
37,1
37,09
37,09
37,15
37,27
37,43
37,42
37,4
37,4
37,39
37,42
37,7
37,85
37,88




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167205&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167205&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.121705741499882
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.121705741499882 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167205&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.121705741499882[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167205&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
alpha1
beta0.121705741499882
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
334.9835.04-0.0600000000000023
434.9335.12269765551-0.192697655510003
535.0135.0492452444609-0.0392452444608722
635.0335.1244688728834-0.0944688728834109
735.0335.1329714686605-0.102971468660485
834.9835.1204392497138-0.140439249713829
934.9235.0533469866917-0.133346986691713
1035.0434.97711789279960.062882107200366
1135.2135.10477100628350.10522899371648
1235.2135.2875779789911-0.0775779789910729
1335.2135.2781362935339-0.0681362935339038
1435.2635.2698437154063-0.00984371540631201
1535.4535.31864567872370.131354321276341
1635.5335.52463225379380.00536774620618274
1735.5335.605285539326-0.0752855393260248
1835.5735.5961228569381-0.0261228569381302
1935.5735.6329435552644-0.0629435552643827
2035.5735.6252829631983-0.0552829631982874
2135.6335.61855470916990.0114452908300677
2235.9235.67994766677710.240052333222913
2336.0535.99916341399080.0508365860092397
2436.136.1353505183863-0.0353505183863305
2536.136.1810481573337-0.0810481573337185
2636.0236.1711841312482-0.151184131248222
2736.0736.0727841544516-0.00278415445164626
2836.1736.12244530686970.0475546931303441
2936.5236.22823298605890.291767013941119
3036.4936.6137427068358-0.123742706835792
3136.4936.5686825089451-0.0786825089451426
3236.4836.5591063958509-0.0791063958509071
3336.6236.53947869328650.0805213067135142
3436.6336.6892785986266-0.0592785986265838
3536.736.69206405282570.00793594717433166
3636.736.763029903161-0.0630299031610235
3736.736.7553588020602-0.0553588020601481
3836.6936.7486213180069-0.0586213180068782
3936.8636.73148676703110.128513232968857
4036.8536.9171275653422-0.0671275653421617
4136.8336.8989577552271-0.0689577552271174
4236.8836.8705652004950.00943479950497306
4336.8836.9217134697647-0.0417134697646873
4436.9236.91663670099640.00336329900355281
4536.9336.9570460337956-0.0270460337955569
4637.0636.96375437619780.0962456238021687
4737.137.1054680212088-0.00546802120879875
4837.0937.144802531633-0.0548025316330438
4937.0937.1281327488846-0.0381327488845713
5037.1537.12349177440620.0265082255938438
5137.2737.18671797765790.0832820223421109
5237.4337.31685387794070.113146122059348
5337.4237.4906244106237-0.0706244106237151
5437.437.4720290143608-0.0720290143607727
5537.437.4432626697585-0.0432626697584837
5637.3937.4379973544563-0.047997354456264
5737.4237.4221558008421-0.00215580084213229
5837.737.45189342750210.248106572497889
5937.8537.7620894218790.0879105781210328
6037.8837.9227886439749-0.0427886439748661

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 34.98 & 35.04 & -0.0600000000000023 \tabularnewline
4 & 34.93 & 35.12269765551 & -0.192697655510003 \tabularnewline
5 & 35.01 & 35.0492452444609 & -0.0392452444608722 \tabularnewline
6 & 35.03 & 35.1244688728834 & -0.0944688728834109 \tabularnewline
7 & 35.03 & 35.1329714686605 & -0.102971468660485 \tabularnewline
8 & 34.98 & 35.1204392497138 & -0.140439249713829 \tabularnewline
9 & 34.92 & 35.0533469866917 & -0.133346986691713 \tabularnewline
10 & 35.04 & 34.9771178927996 & 0.062882107200366 \tabularnewline
11 & 35.21 & 35.1047710062835 & 0.10522899371648 \tabularnewline
12 & 35.21 & 35.2875779789911 & -0.0775779789910729 \tabularnewline
13 & 35.21 & 35.2781362935339 & -0.0681362935339038 \tabularnewline
14 & 35.26 & 35.2698437154063 & -0.00984371540631201 \tabularnewline
15 & 35.45 & 35.3186456787237 & 0.131354321276341 \tabularnewline
16 & 35.53 & 35.5246322537938 & 0.00536774620618274 \tabularnewline
17 & 35.53 & 35.605285539326 & -0.0752855393260248 \tabularnewline
18 & 35.57 & 35.5961228569381 & -0.0261228569381302 \tabularnewline
19 & 35.57 & 35.6329435552644 & -0.0629435552643827 \tabularnewline
20 & 35.57 & 35.6252829631983 & -0.0552829631982874 \tabularnewline
21 & 35.63 & 35.6185547091699 & 0.0114452908300677 \tabularnewline
22 & 35.92 & 35.6799476667771 & 0.240052333222913 \tabularnewline
23 & 36.05 & 35.9991634139908 & 0.0508365860092397 \tabularnewline
24 & 36.1 & 36.1353505183863 & -0.0353505183863305 \tabularnewline
25 & 36.1 & 36.1810481573337 & -0.0810481573337185 \tabularnewline
26 & 36.02 & 36.1711841312482 & -0.151184131248222 \tabularnewline
27 & 36.07 & 36.0727841544516 & -0.00278415445164626 \tabularnewline
28 & 36.17 & 36.1224453068697 & 0.0475546931303441 \tabularnewline
29 & 36.52 & 36.2282329860589 & 0.291767013941119 \tabularnewline
30 & 36.49 & 36.6137427068358 & -0.123742706835792 \tabularnewline
31 & 36.49 & 36.5686825089451 & -0.0786825089451426 \tabularnewline
32 & 36.48 & 36.5591063958509 & -0.0791063958509071 \tabularnewline
33 & 36.62 & 36.5394786932865 & 0.0805213067135142 \tabularnewline
34 & 36.63 & 36.6892785986266 & -0.0592785986265838 \tabularnewline
35 & 36.7 & 36.6920640528257 & 0.00793594717433166 \tabularnewline
36 & 36.7 & 36.763029903161 & -0.0630299031610235 \tabularnewline
37 & 36.7 & 36.7553588020602 & -0.0553588020601481 \tabularnewline
38 & 36.69 & 36.7486213180069 & -0.0586213180068782 \tabularnewline
39 & 36.86 & 36.7314867670311 & 0.128513232968857 \tabularnewline
40 & 36.85 & 36.9171275653422 & -0.0671275653421617 \tabularnewline
41 & 36.83 & 36.8989577552271 & -0.0689577552271174 \tabularnewline
42 & 36.88 & 36.870565200495 & 0.00943479950497306 \tabularnewline
43 & 36.88 & 36.9217134697647 & -0.0417134697646873 \tabularnewline
44 & 36.92 & 36.9166367009964 & 0.00336329900355281 \tabularnewline
45 & 36.93 & 36.9570460337956 & -0.0270460337955569 \tabularnewline
46 & 37.06 & 36.9637543761978 & 0.0962456238021687 \tabularnewline
47 & 37.1 & 37.1054680212088 & -0.00546802120879875 \tabularnewline
48 & 37.09 & 37.144802531633 & -0.0548025316330438 \tabularnewline
49 & 37.09 & 37.1281327488846 & -0.0381327488845713 \tabularnewline
50 & 37.15 & 37.1234917744062 & 0.0265082255938438 \tabularnewline
51 & 37.27 & 37.1867179776579 & 0.0832820223421109 \tabularnewline
52 & 37.43 & 37.3168538779407 & 0.113146122059348 \tabularnewline
53 & 37.42 & 37.4906244106237 & -0.0706244106237151 \tabularnewline
54 & 37.4 & 37.4720290143608 & -0.0720290143607727 \tabularnewline
55 & 37.4 & 37.4432626697585 & -0.0432626697584837 \tabularnewline
56 & 37.39 & 37.4379973544563 & -0.047997354456264 \tabularnewline
57 & 37.42 & 37.4221558008421 & -0.00215580084213229 \tabularnewline
58 & 37.7 & 37.4518934275021 & 0.248106572497889 \tabularnewline
59 & 37.85 & 37.762089421879 & 0.0879105781210328 \tabularnewline
60 & 37.88 & 37.9227886439749 & -0.0427886439748661 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167205&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]3[/C][C]34.98[/C][C]35.04[/C][C]-0.0600000000000023[/C][/ROW]
[ROW][C]4[/C][C]34.93[/C][C]35.12269765551[/C][C]-0.192697655510003[/C][/ROW]
[ROW][C]5[/C][C]35.01[/C][C]35.0492452444609[/C][C]-0.0392452444608722[/C][/ROW]
[ROW][C]6[/C][C]35.03[/C][C]35.1244688728834[/C][C]-0.0944688728834109[/C][/ROW]
[ROW][C]7[/C][C]35.03[/C][C]35.1329714686605[/C][C]-0.102971468660485[/C][/ROW]
[ROW][C]8[/C][C]34.98[/C][C]35.1204392497138[/C][C]-0.140439249713829[/C][/ROW]
[ROW][C]9[/C][C]34.92[/C][C]35.0533469866917[/C][C]-0.133346986691713[/C][/ROW]
[ROW][C]10[/C][C]35.04[/C][C]34.9771178927996[/C][C]0.062882107200366[/C][/ROW]
[ROW][C]11[/C][C]35.21[/C][C]35.1047710062835[/C][C]0.10522899371648[/C][/ROW]
[ROW][C]12[/C][C]35.21[/C][C]35.2875779789911[/C][C]-0.0775779789910729[/C][/ROW]
[ROW][C]13[/C][C]35.21[/C][C]35.2781362935339[/C][C]-0.0681362935339038[/C][/ROW]
[ROW][C]14[/C][C]35.26[/C][C]35.2698437154063[/C][C]-0.00984371540631201[/C][/ROW]
[ROW][C]15[/C][C]35.45[/C][C]35.3186456787237[/C][C]0.131354321276341[/C][/ROW]
[ROW][C]16[/C][C]35.53[/C][C]35.5246322537938[/C][C]0.00536774620618274[/C][/ROW]
[ROW][C]17[/C][C]35.53[/C][C]35.605285539326[/C][C]-0.0752855393260248[/C][/ROW]
[ROW][C]18[/C][C]35.57[/C][C]35.5961228569381[/C][C]-0.0261228569381302[/C][/ROW]
[ROW][C]19[/C][C]35.57[/C][C]35.6329435552644[/C][C]-0.0629435552643827[/C][/ROW]
[ROW][C]20[/C][C]35.57[/C][C]35.6252829631983[/C][C]-0.0552829631982874[/C][/ROW]
[ROW][C]21[/C][C]35.63[/C][C]35.6185547091699[/C][C]0.0114452908300677[/C][/ROW]
[ROW][C]22[/C][C]35.92[/C][C]35.6799476667771[/C][C]0.240052333222913[/C][/ROW]
[ROW][C]23[/C][C]36.05[/C][C]35.9991634139908[/C][C]0.0508365860092397[/C][/ROW]
[ROW][C]24[/C][C]36.1[/C][C]36.1353505183863[/C][C]-0.0353505183863305[/C][/ROW]
[ROW][C]25[/C][C]36.1[/C][C]36.1810481573337[/C][C]-0.0810481573337185[/C][/ROW]
[ROW][C]26[/C][C]36.02[/C][C]36.1711841312482[/C][C]-0.151184131248222[/C][/ROW]
[ROW][C]27[/C][C]36.07[/C][C]36.0727841544516[/C][C]-0.00278415445164626[/C][/ROW]
[ROW][C]28[/C][C]36.17[/C][C]36.1224453068697[/C][C]0.0475546931303441[/C][/ROW]
[ROW][C]29[/C][C]36.52[/C][C]36.2282329860589[/C][C]0.291767013941119[/C][/ROW]
[ROW][C]30[/C][C]36.49[/C][C]36.6137427068358[/C][C]-0.123742706835792[/C][/ROW]
[ROW][C]31[/C][C]36.49[/C][C]36.5686825089451[/C][C]-0.0786825089451426[/C][/ROW]
[ROW][C]32[/C][C]36.48[/C][C]36.5591063958509[/C][C]-0.0791063958509071[/C][/ROW]
[ROW][C]33[/C][C]36.62[/C][C]36.5394786932865[/C][C]0.0805213067135142[/C][/ROW]
[ROW][C]34[/C][C]36.63[/C][C]36.6892785986266[/C][C]-0.0592785986265838[/C][/ROW]
[ROW][C]35[/C][C]36.7[/C][C]36.6920640528257[/C][C]0.00793594717433166[/C][/ROW]
[ROW][C]36[/C][C]36.7[/C][C]36.763029903161[/C][C]-0.0630299031610235[/C][/ROW]
[ROW][C]37[/C][C]36.7[/C][C]36.7553588020602[/C][C]-0.0553588020601481[/C][/ROW]
[ROW][C]38[/C][C]36.69[/C][C]36.7486213180069[/C][C]-0.0586213180068782[/C][/ROW]
[ROW][C]39[/C][C]36.86[/C][C]36.7314867670311[/C][C]0.128513232968857[/C][/ROW]
[ROW][C]40[/C][C]36.85[/C][C]36.9171275653422[/C][C]-0.0671275653421617[/C][/ROW]
[ROW][C]41[/C][C]36.83[/C][C]36.8989577552271[/C][C]-0.0689577552271174[/C][/ROW]
[ROW][C]42[/C][C]36.88[/C][C]36.870565200495[/C][C]0.00943479950497306[/C][/ROW]
[ROW][C]43[/C][C]36.88[/C][C]36.9217134697647[/C][C]-0.0417134697646873[/C][/ROW]
[ROW][C]44[/C][C]36.92[/C][C]36.9166367009964[/C][C]0.00336329900355281[/C][/ROW]
[ROW][C]45[/C][C]36.93[/C][C]36.9570460337956[/C][C]-0.0270460337955569[/C][/ROW]
[ROW][C]46[/C][C]37.06[/C][C]36.9637543761978[/C][C]0.0962456238021687[/C][/ROW]
[ROW][C]47[/C][C]37.1[/C][C]37.1054680212088[/C][C]-0.00546802120879875[/C][/ROW]
[ROW][C]48[/C][C]37.09[/C][C]37.144802531633[/C][C]-0.0548025316330438[/C][/ROW]
[ROW][C]49[/C][C]37.09[/C][C]37.1281327488846[/C][C]-0.0381327488845713[/C][/ROW]
[ROW][C]50[/C][C]37.15[/C][C]37.1234917744062[/C][C]0.0265082255938438[/C][/ROW]
[ROW][C]51[/C][C]37.27[/C][C]37.1867179776579[/C][C]0.0832820223421109[/C][/ROW]
[ROW][C]52[/C][C]37.43[/C][C]37.3168538779407[/C][C]0.113146122059348[/C][/ROW]
[ROW][C]53[/C][C]37.42[/C][C]37.4906244106237[/C][C]-0.0706244106237151[/C][/ROW]
[ROW][C]54[/C][C]37.4[/C][C]37.4720290143608[/C][C]-0.0720290143607727[/C][/ROW]
[ROW][C]55[/C][C]37.4[/C][C]37.4432626697585[/C][C]-0.0432626697584837[/C][/ROW]
[ROW][C]56[/C][C]37.39[/C][C]37.4379973544563[/C][C]-0.047997354456264[/C][/ROW]
[ROW][C]57[/C][C]37.42[/C][C]37.4221558008421[/C][C]-0.00215580084213229[/C][/ROW]
[ROW][C]58[/C][C]37.7[/C][C]37.4518934275021[/C][C]0.248106572497889[/C][/ROW]
[ROW][C]59[/C][C]37.85[/C][C]37.762089421879[/C][C]0.0879105781210328[/C][/ROW]
[ROW][C]60[/C][C]37.88[/C][C]37.9227886439749[/C][C]-0.0427886439748661[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167205&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167205&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
334.9835.04-0.0600000000000023
434.9335.12269765551-0.192697655510003
535.0135.0492452444609-0.0392452444608722
635.0335.1244688728834-0.0944688728834109
735.0335.1329714686605-0.102971468660485
834.9835.1204392497138-0.140439249713829
934.9235.0533469866917-0.133346986691713
1035.0434.97711789279960.062882107200366
1135.2135.10477100628350.10522899371648
1235.2135.2875779789911-0.0775779789910729
1335.2135.2781362935339-0.0681362935339038
1435.2635.2698437154063-0.00984371540631201
1535.4535.31864567872370.131354321276341
1635.5335.52463225379380.00536774620618274
1735.5335.605285539326-0.0752855393260248
1835.5735.5961228569381-0.0261228569381302
1935.5735.6329435552644-0.0629435552643827
2035.5735.6252829631983-0.0552829631982874
2135.6335.61855470916990.0114452908300677
2235.9235.67994766677710.240052333222913
2336.0535.99916341399080.0508365860092397
2436.136.1353505183863-0.0353505183863305
2536.136.1810481573337-0.0810481573337185
2636.0236.1711841312482-0.151184131248222
2736.0736.0727841544516-0.00278415445164626
2836.1736.12244530686970.0475546931303441
2936.5236.22823298605890.291767013941119
3036.4936.6137427068358-0.123742706835792
3136.4936.5686825089451-0.0786825089451426
3236.4836.5591063958509-0.0791063958509071
3336.6236.53947869328650.0805213067135142
3436.6336.6892785986266-0.0592785986265838
3536.736.69206405282570.00793594717433166
3636.736.763029903161-0.0630299031610235
3736.736.7553588020602-0.0553588020601481
3836.6936.7486213180069-0.0586213180068782
3936.8636.73148676703110.128513232968857
4036.8536.9171275653422-0.0671275653421617
4136.8336.8989577552271-0.0689577552271174
4236.8836.8705652004950.00943479950497306
4336.8836.9217134697647-0.0417134697646873
4436.9236.91663670099640.00336329900355281
4536.9336.9570460337956-0.0270460337955569
4637.0636.96375437619780.0962456238021687
4737.137.1054680212088-0.00546802120879875
4837.0937.144802531633-0.0548025316330438
4937.0937.1281327488846-0.0381327488845713
5037.1537.12349177440620.0265082255938438
5137.2737.18671797765790.0832820223421109
5237.4337.31685387794070.113146122059348
5337.4237.4906244106237-0.0706244106237151
5437.437.4720290143608-0.0720290143607727
5537.437.4432626697585-0.0432626697584837
5637.3937.4379973544563-0.047997354456264
5737.4237.4221558008421-0.00215580084213229
5837.737.45189342750210.248106572497889
5937.8537.7620894218790.0879105781210328
6037.8837.9227886439749-0.0427886439748661







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6137.947581020332137.759919007257738.1352430334066
6238.015162040664337.733155060480438.2971690208482
6338.082743060996437.716715730397338.4487703915955
6438.150324081328537.703552853123438.5970953095336
6538.217905101660737.691163421827738.7446467814936
6638.285486121992837.678381438193438.8925908057922
6738.353067142324937.664586409560939.041547875089
6838.420648162657137.649422544732539.1918737805817
6938.488229182989237.632677261864339.343781104114
7038.555810203321337.614221430575739.497398976067
7138.623391223653437.593977203452939.652805243854
7238.690972243985637.571899501311439.8100449866598

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 37.9475810203321 & 37.7599190072577 & 38.1352430334066 \tabularnewline
62 & 38.0151620406643 & 37.7331550604804 & 38.2971690208482 \tabularnewline
63 & 38.0827430609964 & 37.7167157303973 & 38.4487703915955 \tabularnewline
64 & 38.1503240813285 & 37.7035528531234 & 38.5970953095336 \tabularnewline
65 & 38.2179051016607 & 37.6911634218277 & 38.7446467814936 \tabularnewline
66 & 38.2854861219928 & 37.6783814381934 & 38.8925908057922 \tabularnewline
67 & 38.3530671423249 & 37.6645864095609 & 39.041547875089 \tabularnewline
68 & 38.4206481626571 & 37.6494225447325 & 39.1918737805817 \tabularnewline
69 & 38.4882291829892 & 37.6326772618643 & 39.343781104114 \tabularnewline
70 & 38.5558102033213 & 37.6142214305757 & 39.497398976067 \tabularnewline
71 & 38.6233912236534 & 37.5939772034529 & 39.652805243854 \tabularnewline
72 & 38.6909722439856 & 37.5718995013114 & 39.8100449866598 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167205&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]61[/C][C]37.9475810203321[/C][C]37.7599190072577[/C][C]38.1352430334066[/C][/ROW]
[ROW][C]62[/C][C]38.0151620406643[/C][C]37.7331550604804[/C][C]38.2971690208482[/C][/ROW]
[ROW][C]63[/C][C]38.0827430609964[/C][C]37.7167157303973[/C][C]38.4487703915955[/C][/ROW]
[ROW][C]64[/C][C]38.1503240813285[/C][C]37.7035528531234[/C][C]38.5970953095336[/C][/ROW]
[ROW][C]65[/C][C]38.2179051016607[/C][C]37.6911634218277[/C][C]38.7446467814936[/C][/ROW]
[ROW][C]66[/C][C]38.2854861219928[/C][C]37.6783814381934[/C][C]38.8925908057922[/C][/ROW]
[ROW][C]67[/C][C]38.3530671423249[/C][C]37.6645864095609[/C][C]39.041547875089[/C][/ROW]
[ROW][C]68[/C][C]38.4206481626571[/C][C]37.6494225447325[/C][C]39.1918737805817[/C][/ROW]
[ROW][C]69[/C][C]38.4882291829892[/C][C]37.6326772618643[/C][C]39.343781104114[/C][/ROW]
[ROW][C]70[/C][C]38.5558102033213[/C][C]37.6142214305757[/C][C]39.497398976067[/C][/ROW]
[ROW][C]71[/C][C]38.6233912236534[/C][C]37.5939772034529[/C][C]39.652805243854[/C][/ROW]
[ROW][C]72[/C][C]38.6909722439856[/C][C]37.5718995013114[/C][C]39.8100449866598[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167205&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167205&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
6137.947581020332137.759919007257738.1352430334066
6238.015162040664337.733155060480438.2971690208482
6338.082743060996437.716715730397338.4487703915955
6438.150324081328537.703552853123438.5970953095336
6538.217905101660737.691163421827738.7446467814936
6638.285486121992837.678381438193438.8925908057922
6738.353067142324937.664586409560939.041547875089
6838.420648162657137.649422544732539.1918737805817
6938.488229182989237.632677261864339.343781104114
7038.555810203321337.614221430575739.497398976067
7138.623391223653437.593977203452939.652805243854
7238.690972243985637.571899501311439.8100449866598



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
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')