Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 24 Nov 2016 16:04:08 +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/2016/Nov/24/t1480003653o9msr944lucyd0k.htm/, Retrieved Tue, 07 May 2024 19:23:48 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 07 May 2024 19:23:48 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
90,89
91,1
91,35
91,52
91,45
91,88
91,9
91,92
92
92
92,2
92,34
92,29
92,37
92,58
92,73
92,78
92,82
92,82
92,99
93,18
93,88
94,29
94,04
93,6
95,99
98,1
98,7
99,31
99,58
99,68
102,38
102,69
103,01
103,35
103,61
102,59
102,75
102,88
102,85
103,16
103,17
103,04
103,09
103,12
103,68
103,75
103,81
104,23
104,58
104,76
104,83
104,88
105,7
105,34
105,57
105,66
105,7
105,76
105,76




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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999952310898133
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999952310898133 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.999952310898133[/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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha0.999952310898133
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
291.190.890.209999999999994
391.3591.09998998528860.250010014711393
491.5291.34998807724690.170011922753062
591.4591.5199918922841-0.0699918922840794
691.8891.45000333785050.429996662149506
791.991.87997949384540.020020506154637
891.9291.89999904524010.0200009547599507
99291.91999904617240.0800009538275646
109291.99999618482643.81517364189676e-06
1192.291.99999999981810.200000000181944
1292.3492.19999046217960.14000953782039
1392.2992.3399933230709-0.0499933230708933
1492.3792.29000238413670.07999761586332
1592.5892.36999618498560.210003815014446
1692.7392.57998998510670.150010014893326
1792.7892.72999284615710.0500071538428841
1892.8292.77999761520380.0400023847962387
1992.8292.81999809232221.90767781305112e-06
2092.9992.8199999999090.17000000009098
2193.1892.98999189285270.190008107147335
2293.8893.1799909386840.700009061315967
2394.2993.87996661719660.410033382803448
2494.0494.2899804458763-0.249980445876247
2593.694.040011921343-0.440011921342958
2695.9993.60002098377332.38997901622666
2798.195.98988602404722.11011397595276
2898.798.09989937055960.600100629440362
2999.3198.699971381740.610028618260046
3099.5899.30997090828310.270029091716907
3199.6899.57998712255510.100012877444868
32102.3899.67999523047572.70000476952428
33102.69102.3798712391970.310128760802499
34103.01102.6899852102380.32001478976207
35103.35103.0099847387820.3400152612179
36103.61103.3499837849780.260016215022432
37102.59103.60998760006-1.01998760006023
38102.75102.5900486422930.159951357707428
39102.88102.7499923720630.130007627936592
40102.85102.879993800053-0.029993800052992
41103.16102.8500014303770.309998569622621
42103.17103.1599852164470.0100147835533733
43103.04103.169999522404-0.129999522403963
44103.09103.040006199560.0499938004395233
45103.12103.0899976158410.0300023841594452
46103.68103.1199985692130.560001430786755
47103.75103.6799732940350.0700267059652617
48103.81103.7499966604890.0600033395107147
49104.23103.8099971384950.420002861505381
50104.58104.2299799704410.350020029559246
51104.76104.5799833078590.180016692140853
52104.83104.7599914151660.0700085848343548
53104.88104.8299966613530.0500033386465333
54105.7104.8799976153860.820002384614327
55105.34105.699960894823-0.359960894822748
56105.57105.3400171662120.229982833788213
57105.66105.5699890323250.090010967674786
58105.7105.6599957074580.0400042925422071
59105.76105.6999980922310.060001907768779
60105.76105.7599971385632.86143709615772e-06

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 91.1 & 90.89 & 0.209999999999994 \tabularnewline
3 & 91.35 & 91.0999899852886 & 0.250010014711393 \tabularnewline
4 & 91.52 & 91.3499880772469 & 0.170011922753062 \tabularnewline
5 & 91.45 & 91.5199918922841 & -0.0699918922840794 \tabularnewline
6 & 91.88 & 91.4500033378505 & 0.429996662149506 \tabularnewline
7 & 91.9 & 91.8799794938454 & 0.020020506154637 \tabularnewline
8 & 91.92 & 91.8999990452401 & 0.0200009547599507 \tabularnewline
9 & 92 & 91.9199990461724 & 0.0800009538275646 \tabularnewline
10 & 92 & 91.9999961848264 & 3.81517364189676e-06 \tabularnewline
11 & 92.2 & 91.9999999998181 & 0.200000000181944 \tabularnewline
12 & 92.34 & 92.1999904621796 & 0.14000953782039 \tabularnewline
13 & 92.29 & 92.3399933230709 & -0.0499933230708933 \tabularnewline
14 & 92.37 & 92.2900023841367 & 0.07999761586332 \tabularnewline
15 & 92.58 & 92.3699961849856 & 0.210003815014446 \tabularnewline
16 & 92.73 & 92.5799899851067 & 0.150010014893326 \tabularnewline
17 & 92.78 & 92.7299928461571 & 0.0500071538428841 \tabularnewline
18 & 92.82 & 92.7799976152038 & 0.0400023847962387 \tabularnewline
19 & 92.82 & 92.8199980923222 & 1.90767781305112e-06 \tabularnewline
20 & 92.99 & 92.819999999909 & 0.17000000009098 \tabularnewline
21 & 93.18 & 92.9899918928527 & 0.190008107147335 \tabularnewline
22 & 93.88 & 93.179990938684 & 0.700009061315967 \tabularnewline
23 & 94.29 & 93.8799666171966 & 0.410033382803448 \tabularnewline
24 & 94.04 & 94.2899804458763 & -0.249980445876247 \tabularnewline
25 & 93.6 & 94.040011921343 & -0.440011921342958 \tabularnewline
26 & 95.99 & 93.6000209837733 & 2.38997901622666 \tabularnewline
27 & 98.1 & 95.9898860240472 & 2.11011397595276 \tabularnewline
28 & 98.7 & 98.0998993705596 & 0.600100629440362 \tabularnewline
29 & 99.31 & 98.69997138174 & 0.610028618260046 \tabularnewline
30 & 99.58 & 99.3099709082831 & 0.270029091716907 \tabularnewline
31 & 99.68 & 99.5799871225551 & 0.100012877444868 \tabularnewline
32 & 102.38 & 99.6799952304757 & 2.70000476952428 \tabularnewline
33 & 102.69 & 102.379871239197 & 0.310128760802499 \tabularnewline
34 & 103.01 & 102.689985210238 & 0.32001478976207 \tabularnewline
35 & 103.35 & 103.009984738782 & 0.3400152612179 \tabularnewline
36 & 103.61 & 103.349983784978 & 0.260016215022432 \tabularnewline
37 & 102.59 & 103.60998760006 & -1.01998760006023 \tabularnewline
38 & 102.75 & 102.590048642293 & 0.159951357707428 \tabularnewline
39 & 102.88 & 102.749992372063 & 0.130007627936592 \tabularnewline
40 & 102.85 & 102.879993800053 & -0.029993800052992 \tabularnewline
41 & 103.16 & 102.850001430377 & 0.309998569622621 \tabularnewline
42 & 103.17 & 103.159985216447 & 0.0100147835533733 \tabularnewline
43 & 103.04 & 103.169999522404 & -0.129999522403963 \tabularnewline
44 & 103.09 & 103.04000619956 & 0.0499938004395233 \tabularnewline
45 & 103.12 & 103.089997615841 & 0.0300023841594452 \tabularnewline
46 & 103.68 & 103.119998569213 & 0.560001430786755 \tabularnewline
47 & 103.75 & 103.679973294035 & 0.0700267059652617 \tabularnewline
48 & 103.81 & 103.749996660489 & 0.0600033395107147 \tabularnewline
49 & 104.23 & 103.809997138495 & 0.420002861505381 \tabularnewline
50 & 104.58 & 104.229979970441 & 0.350020029559246 \tabularnewline
51 & 104.76 & 104.579983307859 & 0.180016692140853 \tabularnewline
52 & 104.83 & 104.759991415166 & 0.0700085848343548 \tabularnewline
53 & 104.88 & 104.829996661353 & 0.0500033386465333 \tabularnewline
54 & 105.7 & 104.879997615386 & 0.820002384614327 \tabularnewline
55 & 105.34 & 105.699960894823 & -0.359960894822748 \tabularnewline
56 & 105.57 & 105.340017166212 & 0.229982833788213 \tabularnewline
57 & 105.66 & 105.569989032325 & 0.090010967674786 \tabularnewline
58 & 105.7 & 105.659995707458 & 0.0400042925422071 \tabularnewline
59 & 105.76 & 105.699998092231 & 0.060001907768779 \tabularnewline
60 & 105.76 & 105.759997138563 & 2.86143709615772e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]91.1[/C][C]90.89[/C][C]0.209999999999994[/C][/ROW]
[ROW][C]3[/C][C]91.35[/C][C]91.0999899852886[/C][C]0.250010014711393[/C][/ROW]
[ROW][C]4[/C][C]91.52[/C][C]91.3499880772469[/C][C]0.170011922753062[/C][/ROW]
[ROW][C]5[/C][C]91.45[/C][C]91.5199918922841[/C][C]-0.0699918922840794[/C][/ROW]
[ROW][C]6[/C][C]91.88[/C][C]91.4500033378505[/C][C]0.429996662149506[/C][/ROW]
[ROW][C]7[/C][C]91.9[/C][C]91.8799794938454[/C][C]0.020020506154637[/C][/ROW]
[ROW][C]8[/C][C]91.92[/C][C]91.8999990452401[/C][C]0.0200009547599507[/C][/ROW]
[ROW][C]9[/C][C]92[/C][C]91.9199990461724[/C][C]0.0800009538275646[/C][/ROW]
[ROW][C]10[/C][C]92[/C][C]91.9999961848264[/C][C]3.81517364189676e-06[/C][/ROW]
[ROW][C]11[/C][C]92.2[/C][C]91.9999999998181[/C][C]0.200000000181944[/C][/ROW]
[ROW][C]12[/C][C]92.34[/C][C]92.1999904621796[/C][C]0.14000953782039[/C][/ROW]
[ROW][C]13[/C][C]92.29[/C][C]92.3399933230709[/C][C]-0.0499933230708933[/C][/ROW]
[ROW][C]14[/C][C]92.37[/C][C]92.2900023841367[/C][C]0.07999761586332[/C][/ROW]
[ROW][C]15[/C][C]92.58[/C][C]92.3699961849856[/C][C]0.210003815014446[/C][/ROW]
[ROW][C]16[/C][C]92.73[/C][C]92.5799899851067[/C][C]0.150010014893326[/C][/ROW]
[ROW][C]17[/C][C]92.78[/C][C]92.7299928461571[/C][C]0.0500071538428841[/C][/ROW]
[ROW][C]18[/C][C]92.82[/C][C]92.7799976152038[/C][C]0.0400023847962387[/C][/ROW]
[ROW][C]19[/C][C]92.82[/C][C]92.8199980923222[/C][C]1.90767781305112e-06[/C][/ROW]
[ROW][C]20[/C][C]92.99[/C][C]92.819999999909[/C][C]0.17000000009098[/C][/ROW]
[ROW][C]21[/C][C]93.18[/C][C]92.9899918928527[/C][C]0.190008107147335[/C][/ROW]
[ROW][C]22[/C][C]93.88[/C][C]93.179990938684[/C][C]0.700009061315967[/C][/ROW]
[ROW][C]23[/C][C]94.29[/C][C]93.8799666171966[/C][C]0.410033382803448[/C][/ROW]
[ROW][C]24[/C][C]94.04[/C][C]94.2899804458763[/C][C]-0.249980445876247[/C][/ROW]
[ROW][C]25[/C][C]93.6[/C][C]94.040011921343[/C][C]-0.440011921342958[/C][/ROW]
[ROW][C]26[/C][C]95.99[/C][C]93.6000209837733[/C][C]2.38997901622666[/C][/ROW]
[ROW][C]27[/C][C]98.1[/C][C]95.9898860240472[/C][C]2.11011397595276[/C][/ROW]
[ROW][C]28[/C][C]98.7[/C][C]98.0998993705596[/C][C]0.600100629440362[/C][/ROW]
[ROW][C]29[/C][C]99.31[/C][C]98.69997138174[/C][C]0.610028618260046[/C][/ROW]
[ROW][C]30[/C][C]99.58[/C][C]99.3099709082831[/C][C]0.270029091716907[/C][/ROW]
[ROW][C]31[/C][C]99.68[/C][C]99.5799871225551[/C][C]0.100012877444868[/C][/ROW]
[ROW][C]32[/C][C]102.38[/C][C]99.6799952304757[/C][C]2.70000476952428[/C][/ROW]
[ROW][C]33[/C][C]102.69[/C][C]102.379871239197[/C][C]0.310128760802499[/C][/ROW]
[ROW][C]34[/C][C]103.01[/C][C]102.689985210238[/C][C]0.32001478976207[/C][/ROW]
[ROW][C]35[/C][C]103.35[/C][C]103.009984738782[/C][C]0.3400152612179[/C][/ROW]
[ROW][C]36[/C][C]103.61[/C][C]103.349983784978[/C][C]0.260016215022432[/C][/ROW]
[ROW][C]37[/C][C]102.59[/C][C]103.60998760006[/C][C]-1.01998760006023[/C][/ROW]
[ROW][C]38[/C][C]102.75[/C][C]102.590048642293[/C][C]0.159951357707428[/C][/ROW]
[ROW][C]39[/C][C]102.88[/C][C]102.749992372063[/C][C]0.130007627936592[/C][/ROW]
[ROW][C]40[/C][C]102.85[/C][C]102.879993800053[/C][C]-0.029993800052992[/C][/ROW]
[ROW][C]41[/C][C]103.16[/C][C]102.850001430377[/C][C]0.309998569622621[/C][/ROW]
[ROW][C]42[/C][C]103.17[/C][C]103.159985216447[/C][C]0.0100147835533733[/C][/ROW]
[ROW][C]43[/C][C]103.04[/C][C]103.169999522404[/C][C]-0.129999522403963[/C][/ROW]
[ROW][C]44[/C][C]103.09[/C][C]103.04000619956[/C][C]0.0499938004395233[/C][/ROW]
[ROW][C]45[/C][C]103.12[/C][C]103.089997615841[/C][C]0.0300023841594452[/C][/ROW]
[ROW][C]46[/C][C]103.68[/C][C]103.119998569213[/C][C]0.560001430786755[/C][/ROW]
[ROW][C]47[/C][C]103.75[/C][C]103.679973294035[/C][C]0.0700267059652617[/C][/ROW]
[ROW][C]48[/C][C]103.81[/C][C]103.749996660489[/C][C]0.0600033395107147[/C][/ROW]
[ROW][C]49[/C][C]104.23[/C][C]103.809997138495[/C][C]0.420002861505381[/C][/ROW]
[ROW][C]50[/C][C]104.58[/C][C]104.229979970441[/C][C]0.350020029559246[/C][/ROW]
[ROW][C]51[/C][C]104.76[/C][C]104.579983307859[/C][C]0.180016692140853[/C][/ROW]
[ROW][C]52[/C][C]104.83[/C][C]104.759991415166[/C][C]0.0700085848343548[/C][/ROW]
[ROW][C]53[/C][C]104.88[/C][C]104.829996661353[/C][C]0.0500033386465333[/C][/ROW]
[ROW][C]54[/C][C]105.7[/C][C]104.879997615386[/C][C]0.820002384614327[/C][/ROW]
[ROW][C]55[/C][C]105.34[/C][C]105.699960894823[/C][C]-0.359960894822748[/C][/ROW]
[ROW][C]56[/C][C]105.57[/C][C]105.340017166212[/C][C]0.229982833788213[/C][/ROW]
[ROW][C]57[/C][C]105.66[/C][C]105.569989032325[/C][C]0.090010967674786[/C][/ROW]
[ROW][C]58[/C][C]105.7[/C][C]105.659995707458[/C][C]0.0400042925422071[/C][/ROW]
[ROW][C]59[/C][C]105.76[/C][C]105.699998092231[/C][C]0.060001907768779[/C][/ROW]
[ROW][C]60[/C][C]105.76[/C][C]105.759997138563[/C][C]2.86143709615772e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
291.190.890.209999999999994
391.3591.09998998528860.250010014711393
491.5291.34998807724690.170011922753062
591.4591.5199918922841-0.0699918922840794
691.8891.45000333785050.429996662149506
791.991.87997949384540.020020506154637
891.9291.89999904524010.0200009547599507
99291.91999904617240.0800009538275646
109291.99999618482643.81517364189676e-06
1192.291.99999999981810.200000000181944
1292.3492.19999046217960.14000953782039
1392.2992.3399933230709-0.0499933230708933
1492.3792.29000238413670.07999761586332
1592.5892.36999618498560.210003815014446
1692.7392.57998998510670.150010014893326
1792.7892.72999284615710.0500071538428841
1892.8292.77999761520380.0400023847962387
1992.8292.81999809232221.90767781305112e-06
2092.9992.8199999999090.17000000009098
2193.1892.98999189285270.190008107147335
2293.8893.1799909386840.700009061315967
2394.2993.87996661719660.410033382803448
2494.0494.2899804458763-0.249980445876247
2593.694.040011921343-0.440011921342958
2695.9993.60002098377332.38997901622666
2798.195.98988602404722.11011397595276
2898.798.09989937055960.600100629440362
2999.3198.699971381740.610028618260046
3099.5899.30997090828310.270029091716907
3199.6899.57998712255510.100012877444868
32102.3899.67999523047572.70000476952428
33102.69102.3798712391970.310128760802499
34103.01102.6899852102380.32001478976207
35103.35103.0099847387820.3400152612179
36103.61103.3499837849780.260016215022432
37102.59103.60998760006-1.01998760006023
38102.75102.5900486422930.159951357707428
39102.88102.7499923720630.130007627936592
40102.85102.879993800053-0.029993800052992
41103.16102.8500014303770.309998569622621
42103.17103.1599852164470.0100147835533733
43103.04103.169999522404-0.129999522403963
44103.09103.040006199560.0499938004395233
45103.12103.0899976158410.0300023841594452
46103.68103.1199985692130.560001430786755
47103.75103.6799732940350.0700267059652617
48103.81103.7499966604890.0600033395107147
49104.23103.8099971384950.420002861505381
50104.58104.2299799704410.350020029559246
51104.76104.5799833078590.180016692140853
52104.83104.7599914151660.0700085848343548
53104.88104.8299966613530.0500033386465333
54105.7104.8799976153860.820002384614327
55105.34105.699960894823-0.359960894822748
56105.57105.3400171662120.229982833788213
57105.66105.5699890323250.090010967674786
58105.7105.6599957074580.0400042925422071
59105.76105.6999980922310.060001907768779
60105.76105.7599971385632.86143709615772e-06







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61105.759999999864104.635743448463106.884256551264
62105.759999999864104.170099048212107.349900951515
63105.759999999864103.812792440624107.707207559103
64105.759999999864103.51156731876108.008432680967
65105.759999999864103.246181835368108.27381816436
66105.759999999864103.006254549237108.51374545049
67105.759999999864102.785618341512108.734381658216
68105.759999999864102.580254964136108.939745035591
69105.759999999864102.387373318042109.132626681685
70105.759999999864102.20494121306109.315058786667
71105.759999999864102.031424505077109.48857549465
72105.759999999864101.865631313797109.65436868593

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 105.759999999864 & 104.635743448463 & 106.884256551264 \tabularnewline
62 & 105.759999999864 & 104.170099048212 & 107.349900951515 \tabularnewline
63 & 105.759999999864 & 103.812792440624 & 107.707207559103 \tabularnewline
64 & 105.759999999864 & 103.51156731876 & 108.008432680967 \tabularnewline
65 & 105.759999999864 & 103.246181835368 & 108.27381816436 \tabularnewline
66 & 105.759999999864 & 103.006254549237 & 108.51374545049 \tabularnewline
67 & 105.759999999864 & 102.785618341512 & 108.734381658216 \tabularnewline
68 & 105.759999999864 & 102.580254964136 & 108.939745035591 \tabularnewline
69 & 105.759999999864 & 102.387373318042 & 109.132626681685 \tabularnewline
70 & 105.759999999864 & 102.20494121306 & 109.315058786667 \tabularnewline
71 & 105.759999999864 & 102.031424505077 & 109.48857549465 \tabularnewline
72 & 105.759999999864 & 101.865631313797 & 109.65436868593 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]105.759999999864[/C][C]104.635743448463[/C][C]106.884256551264[/C][/ROW]
[ROW][C]62[/C][C]105.759999999864[/C][C]104.170099048212[/C][C]107.349900951515[/C][/ROW]
[ROW][C]63[/C][C]105.759999999864[/C][C]103.812792440624[/C][C]107.707207559103[/C][/ROW]
[ROW][C]64[/C][C]105.759999999864[/C][C]103.51156731876[/C][C]108.008432680967[/C][/ROW]
[ROW][C]65[/C][C]105.759999999864[/C][C]103.246181835368[/C][C]108.27381816436[/C][/ROW]
[ROW][C]66[/C][C]105.759999999864[/C][C]103.006254549237[/C][C]108.51374545049[/C][/ROW]
[ROW][C]67[/C][C]105.759999999864[/C][C]102.785618341512[/C][C]108.734381658216[/C][/ROW]
[ROW][C]68[/C][C]105.759999999864[/C][C]102.580254964136[/C][C]108.939745035591[/C][/ROW]
[ROW][C]69[/C][C]105.759999999864[/C][C]102.387373318042[/C][C]109.132626681685[/C][/ROW]
[ROW][C]70[/C][C]105.759999999864[/C][C]102.20494121306[/C][C]109.315058786667[/C][/ROW]
[ROW][C]71[/C][C]105.759999999864[/C][C]102.031424505077[/C][C]109.48857549465[/C][/ROW]
[ROW][C]72[/C][C]105.759999999864[/C][C]101.865631313797[/C][C]109.65436868593[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
61105.759999999864104.635743448463106.884256551264
62105.759999999864104.170099048212107.349900951515
63105.759999999864103.812792440624107.707207559103
64105.759999999864103.51156731876108.008432680967
65105.759999999864103.246181835368108.27381816436
66105.759999999864103.006254549237108.51374545049
67105.759999999864102.785618341512108.734381658216
68105.759999999864102.580254964136108.939745035591
69105.759999999864102.387373318042109.132626681685
70105.759999999864102.20494121306109.315058786667
71105.759999999864102.031424505077109.48857549465
72105.759999999864101.865631313797109.65436868593



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')