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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 25 May 2012 04:36:01 -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/25/t133793516089m6619pi0v80va.htm/, Retrieved Fri, 03 May 2024 17:39:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167442, Retrieved Fri, 03 May 2024 17:39:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Gem consumptiepri...] [2012-05-25 08:36:01] [5a3c3333b811c6fc66e83f7a2504093f] [Current]
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Dataseries X:
18.49
18.07
17.8
17.88
18.12
18.68
18.8
19.64
19.56
19.3
20.07
19.82
20.29
19.36
18.74
18.87
18.87
18.91
19.31
20.06
20.72
20.42
20.58
20.58
21.18
19.87
19.83
19.48
19.49
19.4
19.89
20.44
20.07
19.75
19.54
19.07
19.55
18.01
17.5
17.41
17.47
17.6
17.64
18.3
18.27
17.99
18.04
17.62
18.22
17.67
17.73
17.99
18.15
18.41
18.36
19.52
19.96
19.6
19.48
19.13




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167442&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167442&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167442&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.986610498495429
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.986610498495429 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167442&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]0.986610498495429[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167442&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167442&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
alpha0.986610498495429
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
218.0718.49-0.419999999999998
317.818.0756235906319-0.27562359063192
417.8817.80369046248150.0763095375185365
518.1217.87897825333260.241021746667421
618.6818.11677283896040.563227161039638
718.818.67245866907980.127541330920156
819.6418.79829228515770.841707714842251
919.5619.6287299532857-0.0687299532857111
1019.319.5609202598129-0.260920259812927
1120.0719.30349359221130.766506407788661
1219.8220.0597368612997-0.239736861299651
1320.2919.82320995706510.466790042934925
1419.3620.2837499140178-0.923749914017804
1518.7419.3723685508636-0.632368550863589
1618.8718.74846709966320.121532900336771
1718.8718.86837273504810.00162726495191379
1818.9118.86997821173350.0400217882665217
1919.3118.90946412820580.400535871794208
2020.0619.3046370243420.755362975658024
2120.7220.04988606630090.670113933699071
2220.4220.7110275084765-0.2910275084765
2320.5820.42389671326260.15610328673738
2420.5820.57790985480740.00209014519263917
2521.1820.57997201399780.600027986002203
2619.8721.1719659243786-1.30196592437864
2719.8319.8874326747034-0.0574326747033709
2819.4819.8307689948844-0.350768994884351
2919.4919.48469662198480.00530337801523828
3019.419.4899289904121-0.089928990412087
3119.8919.40120410435240.488795895647574
3220.4419.88345526661980.556544733380203
3320.0720.432548143455-0.362548143455047
3419.7520.0748543389123-0.324854338912271
3519.5419.7543496376596-0.214349637659634
3619.0719.5428700347959-0.472870034795946
3719.5519.07633149404240.473668505957633
3818.0119.5436578148268-1.53365781482681
3917.518.0305349136191-0.530534913619121
4017.4117.5071035980241-0.0971035980241304
4117.4717.41130016877180.0586998312281537
4217.617.46921403852150.130785961478551
4317.6417.5982488411720.0417511588279922
4418.317.63944097279610.660559027203945
4518.2718.2911554439114-0.0211554439113968
4617.9918.2702832608481-0.280283260848083
4718.0417.99375285314280.0462471468571692
4817.6218.0393807737576-0.41938077375757
4918.2217.62561529950120.594384700498782
5017.6718.2120414851584-0.542041485158375
5117.7317.67725766528110.052742334718932
5217.9917.72929380642990.260706193570073
5318.1517.98650927402890.163490725971059
5418.4118.14781094067860.262189059321376
5518.3618.4064894191957-0.0464894191957335
5619.5218.36062247014831.15937752985173
5719.9619.50447651281970.455523487180315
5819.619.953900767583-0.353900767583031
5919.4819.60473855486-0.124738554860023
6019.1319.481670187068-0.351670187067977

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 18.07 & 18.49 & -0.419999999999998 \tabularnewline
3 & 17.8 & 18.0756235906319 & -0.27562359063192 \tabularnewline
4 & 17.88 & 17.8036904624815 & 0.0763095375185365 \tabularnewline
5 & 18.12 & 17.8789782533326 & 0.241021746667421 \tabularnewline
6 & 18.68 & 18.1167728389604 & 0.563227161039638 \tabularnewline
7 & 18.8 & 18.6724586690798 & 0.127541330920156 \tabularnewline
8 & 19.64 & 18.7982922851577 & 0.841707714842251 \tabularnewline
9 & 19.56 & 19.6287299532857 & -0.0687299532857111 \tabularnewline
10 & 19.3 & 19.5609202598129 & -0.260920259812927 \tabularnewline
11 & 20.07 & 19.3034935922113 & 0.766506407788661 \tabularnewline
12 & 19.82 & 20.0597368612997 & -0.239736861299651 \tabularnewline
13 & 20.29 & 19.8232099570651 & 0.466790042934925 \tabularnewline
14 & 19.36 & 20.2837499140178 & -0.923749914017804 \tabularnewline
15 & 18.74 & 19.3723685508636 & -0.632368550863589 \tabularnewline
16 & 18.87 & 18.7484670996632 & 0.121532900336771 \tabularnewline
17 & 18.87 & 18.8683727350481 & 0.00162726495191379 \tabularnewline
18 & 18.91 & 18.8699782117335 & 0.0400217882665217 \tabularnewline
19 & 19.31 & 18.9094641282058 & 0.400535871794208 \tabularnewline
20 & 20.06 & 19.304637024342 & 0.755362975658024 \tabularnewline
21 & 20.72 & 20.0498860663009 & 0.670113933699071 \tabularnewline
22 & 20.42 & 20.7110275084765 & -0.2910275084765 \tabularnewline
23 & 20.58 & 20.4238967132626 & 0.15610328673738 \tabularnewline
24 & 20.58 & 20.5779098548074 & 0.00209014519263917 \tabularnewline
25 & 21.18 & 20.5799720139978 & 0.600027986002203 \tabularnewline
26 & 19.87 & 21.1719659243786 & -1.30196592437864 \tabularnewline
27 & 19.83 & 19.8874326747034 & -0.0574326747033709 \tabularnewline
28 & 19.48 & 19.8307689948844 & -0.350768994884351 \tabularnewline
29 & 19.49 & 19.4846966219848 & 0.00530337801523828 \tabularnewline
30 & 19.4 & 19.4899289904121 & -0.089928990412087 \tabularnewline
31 & 19.89 & 19.4012041043524 & 0.488795895647574 \tabularnewline
32 & 20.44 & 19.8834552666198 & 0.556544733380203 \tabularnewline
33 & 20.07 & 20.432548143455 & -0.362548143455047 \tabularnewline
34 & 19.75 & 20.0748543389123 & -0.324854338912271 \tabularnewline
35 & 19.54 & 19.7543496376596 & -0.214349637659634 \tabularnewline
36 & 19.07 & 19.5428700347959 & -0.472870034795946 \tabularnewline
37 & 19.55 & 19.0763314940424 & 0.473668505957633 \tabularnewline
38 & 18.01 & 19.5436578148268 & -1.53365781482681 \tabularnewline
39 & 17.5 & 18.0305349136191 & -0.530534913619121 \tabularnewline
40 & 17.41 & 17.5071035980241 & -0.0971035980241304 \tabularnewline
41 & 17.47 & 17.4113001687718 & 0.0586998312281537 \tabularnewline
42 & 17.6 & 17.4692140385215 & 0.130785961478551 \tabularnewline
43 & 17.64 & 17.598248841172 & 0.0417511588279922 \tabularnewline
44 & 18.3 & 17.6394409727961 & 0.660559027203945 \tabularnewline
45 & 18.27 & 18.2911554439114 & -0.0211554439113968 \tabularnewline
46 & 17.99 & 18.2702832608481 & -0.280283260848083 \tabularnewline
47 & 18.04 & 17.9937528531428 & 0.0462471468571692 \tabularnewline
48 & 17.62 & 18.0393807737576 & -0.41938077375757 \tabularnewline
49 & 18.22 & 17.6256152995012 & 0.594384700498782 \tabularnewline
50 & 17.67 & 18.2120414851584 & -0.542041485158375 \tabularnewline
51 & 17.73 & 17.6772576652811 & 0.052742334718932 \tabularnewline
52 & 17.99 & 17.7292938064299 & 0.260706193570073 \tabularnewline
53 & 18.15 & 17.9865092740289 & 0.163490725971059 \tabularnewline
54 & 18.41 & 18.1478109406786 & 0.262189059321376 \tabularnewline
55 & 18.36 & 18.4064894191957 & -0.0464894191957335 \tabularnewline
56 & 19.52 & 18.3606224701483 & 1.15937752985173 \tabularnewline
57 & 19.96 & 19.5044765128197 & 0.455523487180315 \tabularnewline
58 & 19.6 & 19.953900767583 & -0.353900767583031 \tabularnewline
59 & 19.48 & 19.60473855486 & -0.124738554860023 \tabularnewline
60 & 19.13 & 19.481670187068 & -0.351670187067977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167442&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]2[/C][C]18.07[/C][C]18.49[/C][C]-0.419999999999998[/C][/ROW]
[ROW][C]3[/C][C]17.8[/C][C]18.0756235906319[/C][C]-0.27562359063192[/C][/ROW]
[ROW][C]4[/C][C]17.88[/C][C]17.8036904624815[/C][C]0.0763095375185365[/C][/ROW]
[ROW][C]5[/C][C]18.12[/C][C]17.8789782533326[/C][C]0.241021746667421[/C][/ROW]
[ROW][C]6[/C][C]18.68[/C][C]18.1167728389604[/C][C]0.563227161039638[/C][/ROW]
[ROW][C]7[/C][C]18.8[/C][C]18.6724586690798[/C][C]0.127541330920156[/C][/ROW]
[ROW][C]8[/C][C]19.64[/C][C]18.7982922851577[/C][C]0.841707714842251[/C][/ROW]
[ROW][C]9[/C][C]19.56[/C][C]19.6287299532857[/C][C]-0.0687299532857111[/C][/ROW]
[ROW][C]10[/C][C]19.3[/C][C]19.5609202598129[/C][C]-0.260920259812927[/C][/ROW]
[ROW][C]11[/C][C]20.07[/C][C]19.3034935922113[/C][C]0.766506407788661[/C][/ROW]
[ROW][C]12[/C][C]19.82[/C][C]20.0597368612997[/C][C]-0.239736861299651[/C][/ROW]
[ROW][C]13[/C][C]20.29[/C][C]19.8232099570651[/C][C]0.466790042934925[/C][/ROW]
[ROW][C]14[/C][C]19.36[/C][C]20.2837499140178[/C][C]-0.923749914017804[/C][/ROW]
[ROW][C]15[/C][C]18.74[/C][C]19.3723685508636[/C][C]-0.632368550863589[/C][/ROW]
[ROW][C]16[/C][C]18.87[/C][C]18.7484670996632[/C][C]0.121532900336771[/C][/ROW]
[ROW][C]17[/C][C]18.87[/C][C]18.8683727350481[/C][C]0.00162726495191379[/C][/ROW]
[ROW][C]18[/C][C]18.91[/C][C]18.8699782117335[/C][C]0.0400217882665217[/C][/ROW]
[ROW][C]19[/C][C]19.31[/C][C]18.9094641282058[/C][C]0.400535871794208[/C][/ROW]
[ROW][C]20[/C][C]20.06[/C][C]19.304637024342[/C][C]0.755362975658024[/C][/ROW]
[ROW][C]21[/C][C]20.72[/C][C]20.0498860663009[/C][C]0.670113933699071[/C][/ROW]
[ROW][C]22[/C][C]20.42[/C][C]20.7110275084765[/C][C]-0.2910275084765[/C][/ROW]
[ROW][C]23[/C][C]20.58[/C][C]20.4238967132626[/C][C]0.15610328673738[/C][/ROW]
[ROW][C]24[/C][C]20.58[/C][C]20.5779098548074[/C][C]0.00209014519263917[/C][/ROW]
[ROW][C]25[/C][C]21.18[/C][C]20.5799720139978[/C][C]0.600027986002203[/C][/ROW]
[ROW][C]26[/C][C]19.87[/C][C]21.1719659243786[/C][C]-1.30196592437864[/C][/ROW]
[ROW][C]27[/C][C]19.83[/C][C]19.8874326747034[/C][C]-0.0574326747033709[/C][/ROW]
[ROW][C]28[/C][C]19.48[/C][C]19.8307689948844[/C][C]-0.350768994884351[/C][/ROW]
[ROW][C]29[/C][C]19.49[/C][C]19.4846966219848[/C][C]0.00530337801523828[/C][/ROW]
[ROW][C]30[/C][C]19.4[/C][C]19.4899289904121[/C][C]-0.089928990412087[/C][/ROW]
[ROW][C]31[/C][C]19.89[/C][C]19.4012041043524[/C][C]0.488795895647574[/C][/ROW]
[ROW][C]32[/C][C]20.44[/C][C]19.8834552666198[/C][C]0.556544733380203[/C][/ROW]
[ROW][C]33[/C][C]20.07[/C][C]20.432548143455[/C][C]-0.362548143455047[/C][/ROW]
[ROW][C]34[/C][C]19.75[/C][C]20.0748543389123[/C][C]-0.324854338912271[/C][/ROW]
[ROW][C]35[/C][C]19.54[/C][C]19.7543496376596[/C][C]-0.214349637659634[/C][/ROW]
[ROW][C]36[/C][C]19.07[/C][C]19.5428700347959[/C][C]-0.472870034795946[/C][/ROW]
[ROW][C]37[/C][C]19.55[/C][C]19.0763314940424[/C][C]0.473668505957633[/C][/ROW]
[ROW][C]38[/C][C]18.01[/C][C]19.5436578148268[/C][C]-1.53365781482681[/C][/ROW]
[ROW][C]39[/C][C]17.5[/C][C]18.0305349136191[/C][C]-0.530534913619121[/C][/ROW]
[ROW][C]40[/C][C]17.41[/C][C]17.5071035980241[/C][C]-0.0971035980241304[/C][/ROW]
[ROW][C]41[/C][C]17.47[/C][C]17.4113001687718[/C][C]0.0586998312281537[/C][/ROW]
[ROW][C]42[/C][C]17.6[/C][C]17.4692140385215[/C][C]0.130785961478551[/C][/ROW]
[ROW][C]43[/C][C]17.64[/C][C]17.598248841172[/C][C]0.0417511588279922[/C][/ROW]
[ROW][C]44[/C][C]18.3[/C][C]17.6394409727961[/C][C]0.660559027203945[/C][/ROW]
[ROW][C]45[/C][C]18.27[/C][C]18.2911554439114[/C][C]-0.0211554439113968[/C][/ROW]
[ROW][C]46[/C][C]17.99[/C][C]18.2702832608481[/C][C]-0.280283260848083[/C][/ROW]
[ROW][C]47[/C][C]18.04[/C][C]17.9937528531428[/C][C]0.0462471468571692[/C][/ROW]
[ROW][C]48[/C][C]17.62[/C][C]18.0393807737576[/C][C]-0.41938077375757[/C][/ROW]
[ROW][C]49[/C][C]18.22[/C][C]17.6256152995012[/C][C]0.594384700498782[/C][/ROW]
[ROW][C]50[/C][C]17.67[/C][C]18.2120414851584[/C][C]-0.542041485158375[/C][/ROW]
[ROW][C]51[/C][C]17.73[/C][C]17.6772576652811[/C][C]0.052742334718932[/C][/ROW]
[ROW][C]52[/C][C]17.99[/C][C]17.7292938064299[/C][C]0.260706193570073[/C][/ROW]
[ROW][C]53[/C][C]18.15[/C][C]17.9865092740289[/C][C]0.163490725971059[/C][/ROW]
[ROW][C]54[/C][C]18.41[/C][C]18.1478109406786[/C][C]0.262189059321376[/C][/ROW]
[ROW][C]55[/C][C]18.36[/C][C]18.4064894191957[/C][C]-0.0464894191957335[/C][/ROW]
[ROW][C]56[/C][C]19.52[/C][C]18.3606224701483[/C][C]1.15937752985173[/C][/ROW]
[ROW][C]57[/C][C]19.96[/C][C]19.5044765128197[/C][C]0.455523487180315[/C][/ROW]
[ROW][C]58[/C][C]19.6[/C][C]19.953900767583[/C][C]-0.353900767583031[/C][/ROW]
[ROW][C]59[/C][C]19.48[/C][C]19.60473855486[/C][C]-0.124738554860023[/C][/ROW]
[ROW][C]60[/C][C]19.13[/C][C]19.481670187068[/C][C]-0.351670187067977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167442&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167442&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
218.0718.49-0.419999999999998
317.818.0756235906319-0.27562359063192
417.8817.80369046248150.0763095375185365
518.1217.87897825333260.241021746667421
618.6818.11677283896040.563227161039638
718.818.67245866907980.127541330920156
819.6418.79829228515770.841707714842251
919.5619.6287299532857-0.0687299532857111
1019.319.5609202598129-0.260920259812927
1120.0719.30349359221130.766506407788661
1219.8220.0597368612997-0.239736861299651
1320.2919.82320995706510.466790042934925
1419.3620.2837499140178-0.923749914017804
1518.7419.3723685508636-0.632368550863589
1618.8718.74846709966320.121532900336771
1718.8718.86837273504810.00162726495191379
1818.9118.86997821173350.0400217882665217
1919.3118.90946412820580.400535871794208
2020.0619.3046370243420.755362975658024
2120.7220.04988606630090.670113933699071
2220.4220.7110275084765-0.2910275084765
2320.5820.42389671326260.15610328673738
2420.5820.57790985480740.00209014519263917
2521.1820.57997201399780.600027986002203
2619.8721.1719659243786-1.30196592437864
2719.8319.8874326747034-0.0574326747033709
2819.4819.8307689948844-0.350768994884351
2919.4919.48469662198480.00530337801523828
3019.419.4899289904121-0.089928990412087
3119.8919.40120410435240.488795895647574
3220.4419.88345526661980.556544733380203
3320.0720.432548143455-0.362548143455047
3419.7520.0748543389123-0.324854338912271
3519.5419.7543496376596-0.214349637659634
3619.0719.5428700347959-0.472870034795946
3719.5519.07633149404240.473668505957633
3818.0119.5436578148268-1.53365781482681
3917.518.0305349136191-0.530534913619121
4017.4117.5071035980241-0.0971035980241304
4117.4717.41130016877180.0586998312281537
4217.617.46921403852150.130785961478551
4317.6417.5982488411720.0417511588279922
4418.317.63944097279610.660559027203945
4518.2718.2911554439114-0.0211554439113968
4617.9918.2702832608481-0.280283260848083
4718.0417.99375285314280.0462471468571692
4817.6218.0393807737576-0.41938077375757
4918.2217.62561529950120.594384700498782
5017.6718.2120414851584-0.542041485158375
5117.7317.67725766528110.052742334718932
5217.9917.72929380642990.260706193570073
5318.1517.98650927402890.163490725971059
5418.4118.14781094067860.262189059321376
5518.3618.4064894191957-0.0464894191957335
5619.5218.36062247014831.15937752985173
5719.9619.50447651281970.455523487180315
5819.619.953900767583-0.353900767583031
5919.4819.60473855486-0.124738554860023
6019.1319.481670187068-0.351670187067977







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6119.134708688498918.161343813886920.1080735631108
6219.134708688498917.767347457024220.5020699199736
6319.134708688498917.463806448524420.8056109284733
6419.134708688498917.207495193900121.0619221830976
6519.134708688498916.981481015451921.2879363615458
6619.134708688498916.777034629137221.4923827478605
6719.134708688498916.588954472475921.6804629045218
6819.134708688498916.41384447163521.8555729053627
6919.134708688498916.249342222203522.0200751547942
7019.134708688498916.093725754802322.1756916221954
7119.134708688498915.945693987804422.3237233891933
7219.134708688498915.804235400892922.4651819761048

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 19.1347086884989 & 18.1613438138869 & 20.1080735631108 \tabularnewline
62 & 19.1347086884989 & 17.7673474570242 & 20.5020699199736 \tabularnewline
63 & 19.1347086884989 & 17.4638064485244 & 20.8056109284733 \tabularnewline
64 & 19.1347086884989 & 17.2074951939001 & 21.0619221830976 \tabularnewline
65 & 19.1347086884989 & 16.9814810154519 & 21.2879363615458 \tabularnewline
66 & 19.1347086884989 & 16.7770346291372 & 21.4923827478605 \tabularnewline
67 & 19.1347086884989 & 16.5889544724759 & 21.6804629045218 \tabularnewline
68 & 19.1347086884989 & 16.413844471635 & 21.8555729053627 \tabularnewline
69 & 19.1347086884989 & 16.2493422222035 & 22.0200751547942 \tabularnewline
70 & 19.1347086884989 & 16.0937257548023 & 22.1756916221954 \tabularnewline
71 & 19.1347086884989 & 15.9456939878044 & 22.3237233891933 \tabularnewline
72 & 19.1347086884989 & 15.8042354008929 & 22.4651819761048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167442&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]19.1347086884989[/C][C]18.1613438138869[/C][C]20.1080735631108[/C][/ROW]
[ROW][C]62[/C][C]19.1347086884989[/C][C]17.7673474570242[/C][C]20.5020699199736[/C][/ROW]
[ROW][C]63[/C][C]19.1347086884989[/C][C]17.4638064485244[/C][C]20.8056109284733[/C][/ROW]
[ROW][C]64[/C][C]19.1347086884989[/C][C]17.2074951939001[/C][C]21.0619221830976[/C][/ROW]
[ROW][C]65[/C][C]19.1347086884989[/C][C]16.9814810154519[/C][C]21.2879363615458[/C][/ROW]
[ROW][C]66[/C][C]19.1347086884989[/C][C]16.7770346291372[/C][C]21.4923827478605[/C][/ROW]
[ROW][C]67[/C][C]19.1347086884989[/C][C]16.5889544724759[/C][C]21.6804629045218[/C][/ROW]
[ROW][C]68[/C][C]19.1347086884989[/C][C]16.413844471635[/C][C]21.8555729053627[/C][/ROW]
[ROW][C]69[/C][C]19.1347086884989[/C][C]16.2493422222035[/C][C]22.0200751547942[/C][/ROW]
[ROW][C]70[/C][C]19.1347086884989[/C][C]16.0937257548023[/C][C]22.1756916221954[/C][/ROW]
[ROW][C]71[/C][C]19.1347086884989[/C][C]15.9456939878044[/C][C]22.3237233891933[/C][/ROW]
[ROW][C]72[/C][C]19.1347086884989[/C][C]15.8042354008929[/C][C]22.4651819761048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167442&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167442&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
6119.134708688498918.161343813886920.1080735631108
6219.134708688498917.767347457024220.5020699199736
6319.134708688498917.463806448524420.8056109284733
6419.134708688498917.207495193900121.0619221830976
6519.134708688498916.981481015451921.2879363615458
6619.134708688498916.777034629137221.4923827478605
6719.134708688498916.588954472475921.6804629045218
6819.134708688498916.41384447163521.8555729053627
6919.134708688498916.249342222203522.0200751547942
7019.134708688498916.093725754802322.1756916221954
7119.134708688498915.945693987804422.3237233891933
7219.134708688498915.804235400892922.4651819761048



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