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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 computationFri, 23 Dec 2011 09:18:19 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/23/t1324650004l5catc2z9jm2xfx.htm/, Retrieved Mon, 29 Apr 2024 21:26:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160443, Retrieved Mon, 29 Apr 2024 21:26:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords KDGP2W102
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [prijs haarsnit heren] [2011-12-23 14:18:19] [d0059bb5ffa81669f18ca7953f72fb2d] [Current]
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Dataseries X:
15,58
15,66
15,73
15,74
15,77
15,78
15,8
15,81
15,82
15,88
15,85
15,89
15,92
16,02
16,1
16,13
16,21
16,25
16,27
16,21
16,21
16,24
16,32
16,32
16,36
16,48
16,54
16,58
16,56
16,55
16,58
16,53
16,6
16,46
16,48
16,48
16,49
16,54
16,67
16,72
16,79
16,86
16,84
16,86
16,96
17,01
17,02
17,04
17,04
17,39
17,54
17,57
17,58
17,56
17,63
17,67
17,71
17,75
17,82
17,86




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160443&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160443&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'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.104119016628758
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.104119016628758 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160443&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]0.104119016628758[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160443&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
beta0.104119016628758
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
315.7315.74-0.00999999999999979
415.7415.8089588098337-0.0689588098337133
515.7715.8117788863659-0.0417788863659379
615.7815.8374289098017-0.0574289098016703
715.815.8414494681871-0.0414494681870572
815.8115.8571337903196-0.0471337903196378
915.8215.8622262664216-0.0422262664215705
1015.8815.86782970908590.0121702909141472
1115.8515.9290968678079-0.0790968678079214
1215.8915.8908613797133-0.00086137971334388
1315.9215.9307716937046-0.0107716937046476
1416.0215.95965015554870.0603498444513075
1516.116.06593372200670.0340662779933396
1616.1316.1494806693715-0.0194806693715321
1716.2116.17745236123330.0325476387667045
1816.2516.2608411893753-0.0108411893752738
1916.2716.2997124153984-0.0297124153984356
2016.2116.3166187879255-0.106618787925484
2116.2116.2455177445725-0.0355177445725339
2216.2416.2418196719348-0.00181967193477206
2316.3216.27163020948230.0483697905176683
2416.3216.3566664245056-0.0366664245055723
2516.3616.35284875244280.00715124755723906
2616.4816.39359333330610.0864066666939145
2716.5416.52258991047240.0174100895275728
2816.5816.5844026318735-0.00440263187345735
2916.5616.6239442341722-0.0639442341722116
3016.5516.5972864233911-0.047286423391121
3116.5816.5823630074877-0.00236300748775164
3216.5316.6121169734718-0.0821169734718339
3316.616.55356703494540.0464329650545778
3416.4616.6284015896061-0.168401589606063
3516.4816.47086778169760.00913221830244026
3616.4816.4918186192868-0.0118186192868492
3716.4916.4905880762688-0.000588076268794424
3816.5416.5005268463460.0394731536540185
3916.6716.55463675228770.115363247712327
4016.7216.69664826019460.0233517398054168
4116.7916.74907962037970.0409203796203066
4216.8616.82334021006580.0366597899341663
4316.8416.8971571913436-0.0571571913435953
4416.8616.8712060407876-0.0112060407876413
4516.9616.89003927884050.0699607211594717
4617.0116.99732352033030.0126764796697074
4717.0217.0486433829278-0.0286433829278181
4817.0417.0556610620645-0.0156610620644528
4917.0417.0740304476829-0.0340304476829374
5017.3917.07048723093480.319512769065248
5117.5417.45375458625020.0862454137498396
5217.5717.6127343739185-0.0427343739185311
5317.5817.6382849129299-0.0582849129298921
5417.5617.6422163451113-0.0822163451113376
5517.6317.61365606010750.0163439398924652
5617.6717.685357775057-0.0153577750569731
5717.7117.7237587386204-0.0137587386204387
5817.7517.7623261922852-0.0123261922852294
5917.8217.80104280126570.018957198734288
6017.8617.873016606156-0.0130166061559613

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 15.73 & 15.74 & -0.00999999999999979 \tabularnewline
4 & 15.74 & 15.8089588098337 & -0.0689588098337133 \tabularnewline
5 & 15.77 & 15.8117788863659 & -0.0417788863659379 \tabularnewline
6 & 15.78 & 15.8374289098017 & -0.0574289098016703 \tabularnewline
7 & 15.8 & 15.8414494681871 & -0.0414494681870572 \tabularnewline
8 & 15.81 & 15.8571337903196 & -0.0471337903196378 \tabularnewline
9 & 15.82 & 15.8622262664216 & -0.0422262664215705 \tabularnewline
10 & 15.88 & 15.8678297090859 & 0.0121702909141472 \tabularnewline
11 & 15.85 & 15.9290968678079 & -0.0790968678079214 \tabularnewline
12 & 15.89 & 15.8908613797133 & -0.00086137971334388 \tabularnewline
13 & 15.92 & 15.9307716937046 & -0.0107716937046476 \tabularnewline
14 & 16.02 & 15.9596501555487 & 0.0603498444513075 \tabularnewline
15 & 16.1 & 16.0659337220067 & 0.0340662779933396 \tabularnewline
16 & 16.13 & 16.1494806693715 & -0.0194806693715321 \tabularnewline
17 & 16.21 & 16.1774523612333 & 0.0325476387667045 \tabularnewline
18 & 16.25 & 16.2608411893753 & -0.0108411893752738 \tabularnewline
19 & 16.27 & 16.2997124153984 & -0.0297124153984356 \tabularnewline
20 & 16.21 & 16.3166187879255 & -0.106618787925484 \tabularnewline
21 & 16.21 & 16.2455177445725 & -0.0355177445725339 \tabularnewline
22 & 16.24 & 16.2418196719348 & -0.00181967193477206 \tabularnewline
23 & 16.32 & 16.2716302094823 & 0.0483697905176683 \tabularnewline
24 & 16.32 & 16.3566664245056 & -0.0366664245055723 \tabularnewline
25 & 16.36 & 16.3528487524428 & 0.00715124755723906 \tabularnewline
26 & 16.48 & 16.3935933333061 & 0.0864066666939145 \tabularnewline
27 & 16.54 & 16.5225899104724 & 0.0174100895275728 \tabularnewline
28 & 16.58 & 16.5844026318735 & -0.00440263187345735 \tabularnewline
29 & 16.56 & 16.6239442341722 & -0.0639442341722116 \tabularnewline
30 & 16.55 & 16.5972864233911 & -0.047286423391121 \tabularnewline
31 & 16.58 & 16.5823630074877 & -0.00236300748775164 \tabularnewline
32 & 16.53 & 16.6121169734718 & -0.0821169734718339 \tabularnewline
33 & 16.6 & 16.5535670349454 & 0.0464329650545778 \tabularnewline
34 & 16.46 & 16.6284015896061 & -0.168401589606063 \tabularnewline
35 & 16.48 & 16.4708677816976 & 0.00913221830244026 \tabularnewline
36 & 16.48 & 16.4918186192868 & -0.0118186192868492 \tabularnewline
37 & 16.49 & 16.4905880762688 & -0.000588076268794424 \tabularnewline
38 & 16.54 & 16.500526846346 & 0.0394731536540185 \tabularnewline
39 & 16.67 & 16.5546367522877 & 0.115363247712327 \tabularnewline
40 & 16.72 & 16.6966482601946 & 0.0233517398054168 \tabularnewline
41 & 16.79 & 16.7490796203797 & 0.0409203796203066 \tabularnewline
42 & 16.86 & 16.8233402100658 & 0.0366597899341663 \tabularnewline
43 & 16.84 & 16.8971571913436 & -0.0571571913435953 \tabularnewline
44 & 16.86 & 16.8712060407876 & -0.0112060407876413 \tabularnewline
45 & 16.96 & 16.8900392788405 & 0.0699607211594717 \tabularnewline
46 & 17.01 & 16.9973235203303 & 0.0126764796697074 \tabularnewline
47 & 17.02 & 17.0486433829278 & -0.0286433829278181 \tabularnewline
48 & 17.04 & 17.0556610620645 & -0.0156610620644528 \tabularnewline
49 & 17.04 & 17.0740304476829 & -0.0340304476829374 \tabularnewline
50 & 17.39 & 17.0704872309348 & 0.319512769065248 \tabularnewline
51 & 17.54 & 17.4537545862502 & 0.0862454137498396 \tabularnewline
52 & 17.57 & 17.6127343739185 & -0.0427343739185311 \tabularnewline
53 & 17.58 & 17.6382849129299 & -0.0582849129298921 \tabularnewline
54 & 17.56 & 17.6422163451113 & -0.0822163451113376 \tabularnewline
55 & 17.63 & 17.6136560601075 & 0.0163439398924652 \tabularnewline
56 & 17.67 & 17.685357775057 & -0.0153577750569731 \tabularnewline
57 & 17.71 & 17.7237587386204 & -0.0137587386204387 \tabularnewline
58 & 17.75 & 17.7623261922852 & -0.0123261922852294 \tabularnewline
59 & 17.82 & 17.8010428012657 & 0.018957198734288 \tabularnewline
60 & 17.86 & 17.873016606156 & -0.0130166061559613 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160443&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]15.73[/C][C]15.74[/C][C]-0.00999999999999979[/C][/ROW]
[ROW][C]4[/C][C]15.74[/C][C]15.8089588098337[/C][C]-0.0689588098337133[/C][/ROW]
[ROW][C]5[/C][C]15.77[/C][C]15.8117788863659[/C][C]-0.0417788863659379[/C][/ROW]
[ROW][C]6[/C][C]15.78[/C][C]15.8374289098017[/C][C]-0.0574289098016703[/C][/ROW]
[ROW][C]7[/C][C]15.8[/C][C]15.8414494681871[/C][C]-0.0414494681870572[/C][/ROW]
[ROW][C]8[/C][C]15.81[/C][C]15.8571337903196[/C][C]-0.0471337903196378[/C][/ROW]
[ROW][C]9[/C][C]15.82[/C][C]15.8622262664216[/C][C]-0.0422262664215705[/C][/ROW]
[ROW][C]10[/C][C]15.88[/C][C]15.8678297090859[/C][C]0.0121702909141472[/C][/ROW]
[ROW][C]11[/C][C]15.85[/C][C]15.9290968678079[/C][C]-0.0790968678079214[/C][/ROW]
[ROW][C]12[/C][C]15.89[/C][C]15.8908613797133[/C][C]-0.00086137971334388[/C][/ROW]
[ROW][C]13[/C][C]15.92[/C][C]15.9307716937046[/C][C]-0.0107716937046476[/C][/ROW]
[ROW][C]14[/C][C]16.02[/C][C]15.9596501555487[/C][C]0.0603498444513075[/C][/ROW]
[ROW][C]15[/C][C]16.1[/C][C]16.0659337220067[/C][C]0.0340662779933396[/C][/ROW]
[ROW][C]16[/C][C]16.13[/C][C]16.1494806693715[/C][C]-0.0194806693715321[/C][/ROW]
[ROW][C]17[/C][C]16.21[/C][C]16.1774523612333[/C][C]0.0325476387667045[/C][/ROW]
[ROW][C]18[/C][C]16.25[/C][C]16.2608411893753[/C][C]-0.0108411893752738[/C][/ROW]
[ROW][C]19[/C][C]16.27[/C][C]16.2997124153984[/C][C]-0.0297124153984356[/C][/ROW]
[ROW][C]20[/C][C]16.21[/C][C]16.3166187879255[/C][C]-0.106618787925484[/C][/ROW]
[ROW][C]21[/C][C]16.21[/C][C]16.2455177445725[/C][C]-0.0355177445725339[/C][/ROW]
[ROW][C]22[/C][C]16.24[/C][C]16.2418196719348[/C][C]-0.00181967193477206[/C][/ROW]
[ROW][C]23[/C][C]16.32[/C][C]16.2716302094823[/C][C]0.0483697905176683[/C][/ROW]
[ROW][C]24[/C][C]16.32[/C][C]16.3566664245056[/C][C]-0.0366664245055723[/C][/ROW]
[ROW][C]25[/C][C]16.36[/C][C]16.3528487524428[/C][C]0.00715124755723906[/C][/ROW]
[ROW][C]26[/C][C]16.48[/C][C]16.3935933333061[/C][C]0.0864066666939145[/C][/ROW]
[ROW][C]27[/C][C]16.54[/C][C]16.5225899104724[/C][C]0.0174100895275728[/C][/ROW]
[ROW][C]28[/C][C]16.58[/C][C]16.5844026318735[/C][C]-0.00440263187345735[/C][/ROW]
[ROW][C]29[/C][C]16.56[/C][C]16.6239442341722[/C][C]-0.0639442341722116[/C][/ROW]
[ROW][C]30[/C][C]16.55[/C][C]16.5972864233911[/C][C]-0.047286423391121[/C][/ROW]
[ROW][C]31[/C][C]16.58[/C][C]16.5823630074877[/C][C]-0.00236300748775164[/C][/ROW]
[ROW][C]32[/C][C]16.53[/C][C]16.6121169734718[/C][C]-0.0821169734718339[/C][/ROW]
[ROW][C]33[/C][C]16.6[/C][C]16.5535670349454[/C][C]0.0464329650545778[/C][/ROW]
[ROW][C]34[/C][C]16.46[/C][C]16.6284015896061[/C][C]-0.168401589606063[/C][/ROW]
[ROW][C]35[/C][C]16.48[/C][C]16.4708677816976[/C][C]0.00913221830244026[/C][/ROW]
[ROW][C]36[/C][C]16.48[/C][C]16.4918186192868[/C][C]-0.0118186192868492[/C][/ROW]
[ROW][C]37[/C][C]16.49[/C][C]16.4905880762688[/C][C]-0.000588076268794424[/C][/ROW]
[ROW][C]38[/C][C]16.54[/C][C]16.500526846346[/C][C]0.0394731536540185[/C][/ROW]
[ROW][C]39[/C][C]16.67[/C][C]16.5546367522877[/C][C]0.115363247712327[/C][/ROW]
[ROW][C]40[/C][C]16.72[/C][C]16.6966482601946[/C][C]0.0233517398054168[/C][/ROW]
[ROW][C]41[/C][C]16.79[/C][C]16.7490796203797[/C][C]0.0409203796203066[/C][/ROW]
[ROW][C]42[/C][C]16.86[/C][C]16.8233402100658[/C][C]0.0366597899341663[/C][/ROW]
[ROW][C]43[/C][C]16.84[/C][C]16.8971571913436[/C][C]-0.0571571913435953[/C][/ROW]
[ROW][C]44[/C][C]16.86[/C][C]16.8712060407876[/C][C]-0.0112060407876413[/C][/ROW]
[ROW][C]45[/C][C]16.96[/C][C]16.8900392788405[/C][C]0.0699607211594717[/C][/ROW]
[ROW][C]46[/C][C]17.01[/C][C]16.9973235203303[/C][C]0.0126764796697074[/C][/ROW]
[ROW][C]47[/C][C]17.02[/C][C]17.0486433829278[/C][C]-0.0286433829278181[/C][/ROW]
[ROW][C]48[/C][C]17.04[/C][C]17.0556610620645[/C][C]-0.0156610620644528[/C][/ROW]
[ROW][C]49[/C][C]17.04[/C][C]17.0740304476829[/C][C]-0.0340304476829374[/C][/ROW]
[ROW][C]50[/C][C]17.39[/C][C]17.0704872309348[/C][C]0.319512769065248[/C][/ROW]
[ROW][C]51[/C][C]17.54[/C][C]17.4537545862502[/C][C]0.0862454137498396[/C][/ROW]
[ROW][C]52[/C][C]17.57[/C][C]17.6127343739185[/C][C]-0.0427343739185311[/C][/ROW]
[ROW][C]53[/C][C]17.58[/C][C]17.6382849129299[/C][C]-0.0582849129298921[/C][/ROW]
[ROW][C]54[/C][C]17.56[/C][C]17.6422163451113[/C][C]-0.0822163451113376[/C][/ROW]
[ROW][C]55[/C][C]17.63[/C][C]17.6136560601075[/C][C]0.0163439398924652[/C][/ROW]
[ROW][C]56[/C][C]17.67[/C][C]17.685357775057[/C][C]-0.0153577750569731[/C][/ROW]
[ROW][C]57[/C][C]17.71[/C][C]17.7237587386204[/C][C]-0.0137587386204387[/C][/ROW]
[ROW][C]58[/C][C]17.75[/C][C]17.7623261922852[/C][C]-0.0123261922852294[/C][/ROW]
[ROW][C]59[/C][C]17.82[/C][C]17.8010428012657[/C][C]0.018957198734288[/C][/ROW]
[ROW][C]60[/C][C]17.86[/C][C]17.873016606156[/C][C]-0.0130166061559613[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160443&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160443&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
315.7315.74-0.00999999999999979
415.7415.8089588098337-0.0689588098337133
515.7715.8117788863659-0.0417788863659379
615.7815.8374289098017-0.0574289098016703
715.815.8414494681871-0.0414494681870572
815.8115.8571337903196-0.0471337903196378
915.8215.8622262664216-0.0422262664215705
1015.8815.86782970908590.0121702909141472
1115.8515.9290968678079-0.0790968678079214
1215.8915.8908613797133-0.00086137971334388
1315.9215.9307716937046-0.0107716937046476
1416.0215.95965015554870.0603498444513075
1516.116.06593372200670.0340662779933396
1616.1316.1494806693715-0.0194806693715321
1716.2116.17745236123330.0325476387667045
1816.2516.2608411893753-0.0108411893752738
1916.2716.2997124153984-0.0297124153984356
2016.2116.3166187879255-0.106618787925484
2116.2116.2455177445725-0.0355177445725339
2216.2416.2418196719348-0.00181967193477206
2316.3216.27163020948230.0483697905176683
2416.3216.3566664245056-0.0366664245055723
2516.3616.35284875244280.00715124755723906
2616.4816.39359333330610.0864066666939145
2716.5416.52258991047240.0174100895275728
2816.5816.5844026318735-0.00440263187345735
2916.5616.6239442341722-0.0639442341722116
3016.5516.5972864233911-0.047286423391121
3116.5816.5823630074877-0.00236300748775164
3216.5316.6121169734718-0.0821169734718339
3316.616.55356703494540.0464329650545778
3416.4616.6284015896061-0.168401589606063
3516.4816.47086778169760.00913221830244026
3616.4816.4918186192868-0.0118186192868492
3716.4916.4905880762688-0.000588076268794424
3816.5416.5005268463460.0394731536540185
3916.6716.55463675228770.115363247712327
4016.7216.69664826019460.0233517398054168
4116.7916.74907962037970.0409203796203066
4216.8616.82334021006580.0366597899341663
4316.8416.8971571913436-0.0571571913435953
4416.8616.8712060407876-0.0112060407876413
4516.9616.89003927884050.0699607211594717
4617.0116.99732352033030.0126764796697074
4717.0217.0486433829278-0.0286433829278181
4817.0417.0556610620645-0.0156610620644528
4917.0417.0740304476829-0.0340304476829374
5017.3917.07048723093480.319512769065248
5117.5417.45375458625020.0862454137498396
5217.5717.6127343739185-0.0427343739185311
5317.5817.6382849129299-0.0582849129298921
5417.5617.6422163451113-0.0822163451113376
5517.6317.61365606010750.0163439398924652
5617.6717.685357775057-0.0153577750569731
5717.7117.7237587386204-0.0137587386204387
5817.7517.7623261922852-0.0123261922852294
5917.8217.80104280126570.018957198734288
6017.8617.873016606156-0.0130166061559613







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6117.911661329923217.782364055987818.0409586038585
6217.963322659846317.770714034833918.1559312848587
6318.014983989769517.766985281186518.2629826983524
6418.066645319692617.766152252470418.3671383869149
6518.118306649615817.766399386673818.4702139125578
6618.16996797953917.766862854838918.573073104239
6718.221629309462117.76707061104618.6761880078782
6818.273290639385317.76674271937918.7798385593915
6918.324951969308417.765704471555418.8841994670614
7018.376613299231617.763843372538618.9893832259246
7118.428274629154717.761085809910719.0954634483988
7218.479935959077917.757383508766919.2024884093889

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 17.9116613299232 & 17.7823640559878 & 18.0409586038585 \tabularnewline
62 & 17.9633226598463 & 17.7707140348339 & 18.1559312848587 \tabularnewline
63 & 18.0149839897695 & 17.7669852811865 & 18.2629826983524 \tabularnewline
64 & 18.0666453196926 & 17.7661522524704 & 18.3671383869149 \tabularnewline
65 & 18.1183066496158 & 17.7663993866738 & 18.4702139125578 \tabularnewline
66 & 18.169967979539 & 17.7668628548389 & 18.573073104239 \tabularnewline
67 & 18.2216293094621 & 17.767070611046 & 18.6761880078782 \tabularnewline
68 & 18.2732906393853 & 17.766742719379 & 18.7798385593915 \tabularnewline
69 & 18.3249519693084 & 17.7657044715554 & 18.8841994670614 \tabularnewline
70 & 18.3766132992316 & 17.7638433725386 & 18.9893832259246 \tabularnewline
71 & 18.4282746291547 & 17.7610858099107 & 19.0954634483988 \tabularnewline
72 & 18.4799359590779 & 17.7573835087669 & 19.2024884093889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160443&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]17.9116613299232[/C][C]17.7823640559878[/C][C]18.0409586038585[/C][/ROW]
[ROW][C]62[/C][C]17.9633226598463[/C][C]17.7707140348339[/C][C]18.1559312848587[/C][/ROW]
[ROW][C]63[/C][C]18.0149839897695[/C][C]17.7669852811865[/C][C]18.2629826983524[/C][/ROW]
[ROW][C]64[/C][C]18.0666453196926[/C][C]17.7661522524704[/C][C]18.3671383869149[/C][/ROW]
[ROW][C]65[/C][C]18.1183066496158[/C][C]17.7663993866738[/C][C]18.4702139125578[/C][/ROW]
[ROW][C]66[/C][C]18.169967979539[/C][C]17.7668628548389[/C][C]18.573073104239[/C][/ROW]
[ROW][C]67[/C][C]18.2216293094621[/C][C]17.767070611046[/C][C]18.6761880078782[/C][/ROW]
[ROW][C]68[/C][C]18.2732906393853[/C][C]17.766742719379[/C][C]18.7798385593915[/C][/ROW]
[ROW][C]69[/C][C]18.3249519693084[/C][C]17.7657044715554[/C][C]18.8841994670614[/C][/ROW]
[ROW][C]70[/C][C]18.3766132992316[/C][C]17.7638433725386[/C][C]18.9893832259246[/C][/ROW]
[ROW][C]71[/C][C]18.4282746291547[/C][C]17.7610858099107[/C][C]19.0954634483988[/C][/ROW]
[ROW][C]72[/C][C]18.4799359590779[/C][C]17.7573835087669[/C][C]19.2024884093889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160443&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160443&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
6117.911661329923217.782364055987818.0409586038585
6217.963322659846317.770714034833918.1559312848587
6318.014983989769517.766985281186518.2629826983524
6418.066645319692617.766152252470418.3671383869149
6518.118306649615817.766399386673818.4702139125578
6618.16996797953917.766862854838918.573073104239
6718.221629309462117.76707061104618.6761880078782
6818.273290639385317.76674271937918.7798385593915
6918.324951969308417.765704471555418.8841994670614
7018.376613299231617.763843372538618.9893832259246
7118.428274629154717.761085809910719.0954634483988
7218.479935959077917.757383508766919.2024884093889



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