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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 computationTue, 26 Apr 2016 19:18:06 +0100
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/Apr/26/t1461695253463r1m01p8q79lf.htm/, Retrieved Sat, 04 May 2024 02:44:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294954, Retrieved Sat, 04 May 2024 02:44:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [CPI Wijnen - Sing...] [2016-04-26 18:18:06] [25a5f245cb671e152cfd8b6d35402e87] [Current]
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Dataseries X:
110,27
110,91
110,27
109,41
111,47
110,77
110,83
110,52
110,44
109,99
110,55
109,99
111,2
111,81
110,36
111,24
112,6
111,75
112,49
111,94
113,22
112,85
114,37
113,68
118
118,27
119,2
117,98
117,59
117,41
118,31
118,4
117,92
118,94
118,81
117,44
120,21
119,74
118,79
118,19
119,16
118,88
119,59
119,44
119,84
119,31
118,15
118,23
119,89
118,83
118,95
119,86
119,07
119,52
119,92
119,68
119,81
120,09
119,98
118,96




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=294954&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=294954&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294954&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
alpha0.69747583476661
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.69747583476661 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294954&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]0.69747583476661[/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=294954&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294954&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
alpha0.69747583476661
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2110.91110.270.640000000000001
3110.27110.716384534251-0.44638453425064
4109.41110.405042108597-0.995042108597275
5111.47109.7110242832751.75897571672454
6110.77110.937867339632-0.16786733963211
7110.83110.8207839267920.00921607320783835
8110.52110.827211915146-0.307211915146056
9110.44110.612939028179-0.172939028179314
10109.99110.492318235136-0.502318235136229
11110.55110.1419634047660.408036595233909
12109.99110.426559069642-0.436559069642186
13111.2110.1220696681191.07793033188143
14111.81110.8739000261680.936099973832171
15110.36111.526807136841-1.16680713684143
16111.24110.7129873550610.527012644938694
17112.6111.0805659395221.51943406047752
18111.75112.140334479227-0.390334479226851
19112.49111.868085612490.621914387510074
20111.94112.301855869072-0.361855869071888
21113.22112.0494701447261.17052985527422
22112.85112.865886432652-0.0158864326524224
23114.37112.8548060297771.51519397022329
24113.68113.911617208992-0.231617208991523
25118113.7500698028044.24993019719615
26118.27116.7142934147931.55570658520695
27119.2117.7993611639621.40063883603783
28117.98118.776272905334-0.796272905334192
29117.59118.220891795984-0.630891795984184
30117.41117.780860013933-0.370860013932713
31118.31117.5221941161330.787805883866568
32118.4118.0716696826170.328330317382694
33117.92118.300672144813-0.380672144812991
34118.94118.0351625228370.904837477162829
35118.81118.6662647975490.143735202450586
36117.44118.766516627864-1.32651662786398
37120.21117.8413033355132.36869666448723
38119.74119.4934120188850.246587981115113
39118.79119.665401176857-0.875401176856556
40118.19119.054830010273-0.864830010272868
41119.16118.4516319769270.708368023073405
42118.88118.945701555142-0.0657015551416862
43119.59118.8998763081240.690123691876238
44119.44119.3812209062070.0587790937926371
45119.84119.4222179037170.417782096282792
46119.31119.713610820073-0.403610820072586
47118.15119.432102026422-1.28210202642161
48118.23118.537866845287-0.307866845287222
49119.89118.3231371603741.56686283962644
50118.83119.415986127407-0.585986127406798
51118.95119.007274964032-0.0572749640320893
52119.86118.9673270606830.892672939317407
53119.07119.589944864207-0.519944864206565
54119.52119.2272958860110.292704113988535
55119.92119.4314499322550.488550067744768
56119.68119.772201798581-0.0922017985807884
57119.81119.7078932721490.102106727851321
58120.09119.7791102473920.31088975260792
59119.98119.995948337113-0.0159483371126754
60118.96119.984824757372-1.02482475737189

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 110.91 & 110.27 & 0.640000000000001 \tabularnewline
3 & 110.27 & 110.716384534251 & -0.44638453425064 \tabularnewline
4 & 109.41 & 110.405042108597 & -0.995042108597275 \tabularnewline
5 & 111.47 & 109.711024283275 & 1.75897571672454 \tabularnewline
6 & 110.77 & 110.937867339632 & -0.16786733963211 \tabularnewline
7 & 110.83 & 110.820783926792 & 0.00921607320783835 \tabularnewline
8 & 110.52 & 110.827211915146 & -0.307211915146056 \tabularnewline
9 & 110.44 & 110.612939028179 & -0.172939028179314 \tabularnewline
10 & 109.99 & 110.492318235136 & -0.502318235136229 \tabularnewline
11 & 110.55 & 110.141963404766 & 0.408036595233909 \tabularnewline
12 & 109.99 & 110.426559069642 & -0.436559069642186 \tabularnewline
13 & 111.2 & 110.122069668119 & 1.07793033188143 \tabularnewline
14 & 111.81 & 110.873900026168 & 0.936099973832171 \tabularnewline
15 & 110.36 & 111.526807136841 & -1.16680713684143 \tabularnewline
16 & 111.24 & 110.712987355061 & 0.527012644938694 \tabularnewline
17 & 112.6 & 111.080565939522 & 1.51943406047752 \tabularnewline
18 & 111.75 & 112.140334479227 & -0.390334479226851 \tabularnewline
19 & 112.49 & 111.86808561249 & 0.621914387510074 \tabularnewline
20 & 111.94 & 112.301855869072 & -0.361855869071888 \tabularnewline
21 & 113.22 & 112.049470144726 & 1.17052985527422 \tabularnewline
22 & 112.85 & 112.865886432652 & -0.0158864326524224 \tabularnewline
23 & 114.37 & 112.854806029777 & 1.51519397022329 \tabularnewline
24 & 113.68 & 113.911617208992 & -0.231617208991523 \tabularnewline
25 & 118 & 113.750069802804 & 4.24993019719615 \tabularnewline
26 & 118.27 & 116.714293414793 & 1.55570658520695 \tabularnewline
27 & 119.2 & 117.799361163962 & 1.40063883603783 \tabularnewline
28 & 117.98 & 118.776272905334 & -0.796272905334192 \tabularnewline
29 & 117.59 & 118.220891795984 & -0.630891795984184 \tabularnewline
30 & 117.41 & 117.780860013933 & -0.370860013932713 \tabularnewline
31 & 118.31 & 117.522194116133 & 0.787805883866568 \tabularnewline
32 & 118.4 & 118.071669682617 & 0.328330317382694 \tabularnewline
33 & 117.92 & 118.300672144813 & -0.380672144812991 \tabularnewline
34 & 118.94 & 118.035162522837 & 0.904837477162829 \tabularnewline
35 & 118.81 & 118.666264797549 & 0.143735202450586 \tabularnewline
36 & 117.44 & 118.766516627864 & -1.32651662786398 \tabularnewline
37 & 120.21 & 117.841303335513 & 2.36869666448723 \tabularnewline
38 & 119.74 & 119.493412018885 & 0.246587981115113 \tabularnewline
39 & 118.79 & 119.665401176857 & -0.875401176856556 \tabularnewline
40 & 118.19 & 119.054830010273 & -0.864830010272868 \tabularnewline
41 & 119.16 & 118.451631976927 & 0.708368023073405 \tabularnewline
42 & 118.88 & 118.945701555142 & -0.0657015551416862 \tabularnewline
43 & 119.59 & 118.899876308124 & 0.690123691876238 \tabularnewline
44 & 119.44 & 119.381220906207 & 0.0587790937926371 \tabularnewline
45 & 119.84 & 119.422217903717 & 0.417782096282792 \tabularnewline
46 & 119.31 & 119.713610820073 & -0.403610820072586 \tabularnewline
47 & 118.15 & 119.432102026422 & -1.28210202642161 \tabularnewline
48 & 118.23 & 118.537866845287 & -0.307866845287222 \tabularnewline
49 & 119.89 & 118.323137160374 & 1.56686283962644 \tabularnewline
50 & 118.83 & 119.415986127407 & -0.585986127406798 \tabularnewline
51 & 118.95 & 119.007274964032 & -0.0572749640320893 \tabularnewline
52 & 119.86 & 118.967327060683 & 0.892672939317407 \tabularnewline
53 & 119.07 & 119.589944864207 & -0.519944864206565 \tabularnewline
54 & 119.52 & 119.227295886011 & 0.292704113988535 \tabularnewline
55 & 119.92 & 119.431449932255 & 0.488550067744768 \tabularnewline
56 & 119.68 & 119.772201798581 & -0.0922017985807884 \tabularnewline
57 & 119.81 & 119.707893272149 & 0.102106727851321 \tabularnewline
58 & 120.09 & 119.779110247392 & 0.31088975260792 \tabularnewline
59 & 119.98 & 119.995948337113 & -0.0159483371126754 \tabularnewline
60 & 118.96 & 119.984824757372 & -1.02482475737189 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294954&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]110.91[/C][C]110.27[/C][C]0.640000000000001[/C][/ROW]
[ROW][C]3[/C][C]110.27[/C][C]110.716384534251[/C][C]-0.44638453425064[/C][/ROW]
[ROW][C]4[/C][C]109.41[/C][C]110.405042108597[/C][C]-0.995042108597275[/C][/ROW]
[ROW][C]5[/C][C]111.47[/C][C]109.711024283275[/C][C]1.75897571672454[/C][/ROW]
[ROW][C]6[/C][C]110.77[/C][C]110.937867339632[/C][C]-0.16786733963211[/C][/ROW]
[ROW][C]7[/C][C]110.83[/C][C]110.820783926792[/C][C]0.00921607320783835[/C][/ROW]
[ROW][C]8[/C][C]110.52[/C][C]110.827211915146[/C][C]-0.307211915146056[/C][/ROW]
[ROW][C]9[/C][C]110.44[/C][C]110.612939028179[/C][C]-0.172939028179314[/C][/ROW]
[ROW][C]10[/C][C]109.99[/C][C]110.492318235136[/C][C]-0.502318235136229[/C][/ROW]
[ROW][C]11[/C][C]110.55[/C][C]110.141963404766[/C][C]0.408036595233909[/C][/ROW]
[ROW][C]12[/C][C]109.99[/C][C]110.426559069642[/C][C]-0.436559069642186[/C][/ROW]
[ROW][C]13[/C][C]111.2[/C][C]110.122069668119[/C][C]1.07793033188143[/C][/ROW]
[ROW][C]14[/C][C]111.81[/C][C]110.873900026168[/C][C]0.936099973832171[/C][/ROW]
[ROW][C]15[/C][C]110.36[/C][C]111.526807136841[/C][C]-1.16680713684143[/C][/ROW]
[ROW][C]16[/C][C]111.24[/C][C]110.712987355061[/C][C]0.527012644938694[/C][/ROW]
[ROW][C]17[/C][C]112.6[/C][C]111.080565939522[/C][C]1.51943406047752[/C][/ROW]
[ROW][C]18[/C][C]111.75[/C][C]112.140334479227[/C][C]-0.390334479226851[/C][/ROW]
[ROW][C]19[/C][C]112.49[/C][C]111.86808561249[/C][C]0.621914387510074[/C][/ROW]
[ROW][C]20[/C][C]111.94[/C][C]112.301855869072[/C][C]-0.361855869071888[/C][/ROW]
[ROW][C]21[/C][C]113.22[/C][C]112.049470144726[/C][C]1.17052985527422[/C][/ROW]
[ROW][C]22[/C][C]112.85[/C][C]112.865886432652[/C][C]-0.0158864326524224[/C][/ROW]
[ROW][C]23[/C][C]114.37[/C][C]112.854806029777[/C][C]1.51519397022329[/C][/ROW]
[ROW][C]24[/C][C]113.68[/C][C]113.911617208992[/C][C]-0.231617208991523[/C][/ROW]
[ROW][C]25[/C][C]118[/C][C]113.750069802804[/C][C]4.24993019719615[/C][/ROW]
[ROW][C]26[/C][C]118.27[/C][C]116.714293414793[/C][C]1.55570658520695[/C][/ROW]
[ROW][C]27[/C][C]119.2[/C][C]117.799361163962[/C][C]1.40063883603783[/C][/ROW]
[ROW][C]28[/C][C]117.98[/C][C]118.776272905334[/C][C]-0.796272905334192[/C][/ROW]
[ROW][C]29[/C][C]117.59[/C][C]118.220891795984[/C][C]-0.630891795984184[/C][/ROW]
[ROW][C]30[/C][C]117.41[/C][C]117.780860013933[/C][C]-0.370860013932713[/C][/ROW]
[ROW][C]31[/C][C]118.31[/C][C]117.522194116133[/C][C]0.787805883866568[/C][/ROW]
[ROW][C]32[/C][C]118.4[/C][C]118.071669682617[/C][C]0.328330317382694[/C][/ROW]
[ROW][C]33[/C][C]117.92[/C][C]118.300672144813[/C][C]-0.380672144812991[/C][/ROW]
[ROW][C]34[/C][C]118.94[/C][C]118.035162522837[/C][C]0.904837477162829[/C][/ROW]
[ROW][C]35[/C][C]118.81[/C][C]118.666264797549[/C][C]0.143735202450586[/C][/ROW]
[ROW][C]36[/C][C]117.44[/C][C]118.766516627864[/C][C]-1.32651662786398[/C][/ROW]
[ROW][C]37[/C][C]120.21[/C][C]117.841303335513[/C][C]2.36869666448723[/C][/ROW]
[ROW][C]38[/C][C]119.74[/C][C]119.493412018885[/C][C]0.246587981115113[/C][/ROW]
[ROW][C]39[/C][C]118.79[/C][C]119.665401176857[/C][C]-0.875401176856556[/C][/ROW]
[ROW][C]40[/C][C]118.19[/C][C]119.054830010273[/C][C]-0.864830010272868[/C][/ROW]
[ROW][C]41[/C][C]119.16[/C][C]118.451631976927[/C][C]0.708368023073405[/C][/ROW]
[ROW][C]42[/C][C]118.88[/C][C]118.945701555142[/C][C]-0.0657015551416862[/C][/ROW]
[ROW][C]43[/C][C]119.59[/C][C]118.899876308124[/C][C]0.690123691876238[/C][/ROW]
[ROW][C]44[/C][C]119.44[/C][C]119.381220906207[/C][C]0.0587790937926371[/C][/ROW]
[ROW][C]45[/C][C]119.84[/C][C]119.422217903717[/C][C]0.417782096282792[/C][/ROW]
[ROW][C]46[/C][C]119.31[/C][C]119.713610820073[/C][C]-0.403610820072586[/C][/ROW]
[ROW][C]47[/C][C]118.15[/C][C]119.432102026422[/C][C]-1.28210202642161[/C][/ROW]
[ROW][C]48[/C][C]118.23[/C][C]118.537866845287[/C][C]-0.307866845287222[/C][/ROW]
[ROW][C]49[/C][C]119.89[/C][C]118.323137160374[/C][C]1.56686283962644[/C][/ROW]
[ROW][C]50[/C][C]118.83[/C][C]119.415986127407[/C][C]-0.585986127406798[/C][/ROW]
[ROW][C]51[/C][C]118.95[/C][C]119.007274964032[/C][C]-0.0572749640320893[/C][/ROW]
[ROW][C]52[/C][C]119.86[/C][C]118.967327060683[/C][C]0.892672939317407[/C][/ROW]
[ROW][C]53[/C][C]119.07[/C][C]119.589944864207[/C][C]-0.519944864206565[/C][/ROW]
[ROW][C]54[/C][C]119.52[/C][C]119.227295886011[/C][C]0.292704113988535[/C][/ROW]
[ROW][C]55[/C][C]119.92[/C][C]119.431449932255[/C][C]0.488550067744768[/C][/ROW]
[ROW][C]56[/C][C]119.68[/C][C]119.772201798581[/C][C]-0.0922017985807884[/C][/ROW]
[ROW][C]57[/C][C]119.81[/C][C]119.707893272149[/C][C]0.102106727851321[/C][/ROW]
[ROW][C]58[/C][C]120.09[/C][C]119.779110247392[/C][C]0.31088975260792[/C][/ROW]
[ROW][C]59[/C][C]119.98[/C][C]119.995948337113[/C][C]-0.0159483371126754[/C][/ROW]
[ROW][C]60[/C][C]118.96[/C][C]119.984824757372[/C][C]-1.02482475737189[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294954&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294954&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
2110.91110.270.640000000000001
3110.27110.716384534251-0.44638453425064
4109.41110.405042108597-0.995042108597275
5111.47109.7110242832751.75897571672454
6110.77110.937867339632-0.16786733963211
7110.83110.8207839267920.00921607320783835
8110.52110.827211915146-0.307211915146056
9110.44110.612939028179-0.172939028179314
10109.99110.492318235136-0.502318235136229
11110.55110.1419634047660.408036595233909
12109.99110.426559069642-0.436559069642186
13111.2110.1220696681191.07793033188143
14111.81110.8739000261680.936099973832171
15110.36111.526807136841-1.16680713684143
16111.24110.7129873550610.527012644938694
17112.6111.0805659395221.51943406047752
18111.75112.140334479227-0.390334479226851
19112.49111.868085612490.621914387510074
20111.94112.301855869072-0.361855869071888
21113.22112.0494701447261.17052985527422
22112.85112.865886432652-0.0158864326524224
23114.37112.8548060297771.51519397022329
24113.68113.911617208992-0.231617208991523
25118113.7500698028044.24993019719615
26118.27116.7142934147931.55570658520695
27119.2117.7993611639621.40063883603783
28117.98118.776272905334-0.796272905334192
29117.59118.220891795984-0.630891795984184
30117.41117.780860013933-0.370860013932713
31118.31117.5221941161330.787805883866568
32118.4118.0716696826170.328330317382694
33117.92118.300672144813-0.380672144812991
34118.94118.0351625228370.904837477162829
35118.81118.6662647975490.143735202450586
36117.44118.766516627864-1.32651662786398
37120.21117.8413033355132.36869666448723
38119.74119.4934120188850.246587981115113
39118.79119.665401176857-0.875401176856556
40118.19119.054830010273-0.864830010272868
41119.16118.4516319769270.708368023073405
42118.88118.945701555142-0.0657015551416862
43119.59118.8998763081240.690123691876238
44119.44119.3812209062070.0587790937926371
45119.84119.4222179037170.417782096282792
46119.31119.713610820073-0.403610820072586
47118.15119.432102026422-1.28210202642161
48118.23118.537866845287-0.307866845287222
49119.89118.3231371603741.56686283962644
50118.83119.415986127407-0.585986127406798
51118.95119.007274964032-0.0572749640320893
52119.86118.9673270606830.892672939317407
53119.07119.589944864207-0.519944864206565
54119.52119.2272958860110.292704113988535
55119.92119.4314499322550.488550067744768
56119.68119.772201798581-0.0922017985807884
57119.81119.7078932721490.102106727851321
58120.09119.7791102473920.31088975260792
59119.98119.995948337113-0.0159483371126754
60118.96119.984824757372-1.02482475737189







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61119.270034254234117.349295134139121.19077337433
62119.270034254234116.928250292882121.611818215587
63119.270034254234116.572134056705121.967934451764
64119.270034254234116.257829276147122.282239232322
65119.270034254234115.97335529137122.566713217099
66119.270034254234115.711550653264122.828517855205
67119.270034254234115.467729835522123.072338672947
68119.270034254234115.238628513461123.301439995008
69119.270034254234115.021864577665123.518203930804
70119.270034254234114.815636544655123.724431963814
71119.270034254234114.618542847245123.921525661223
72119.270034254234114.429467586635124.110600921834

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 119.270034254234 & 117.349295134139 & 121.19077337433 \tabularnewline
62 & 119.270034254234 & 116.928250292882 & 121.611818215587 \tabularnewline
63 & 119.270034254234 & 116.572134056705 & 121.967934451764 \tabularnewline
64 & 119.270034254234 & 116.257829276147 & 122.282239232322 \tabularnewline
65 & 119.270034254234 & 115.97335529137 & 122.566713217099 \tabularnewline
66 & 119.270034254234 & 115.711550653264 & 122.828517855205 \tabularnewline
67 & 119.270034254234 & 115.467729835522 & 123.072338672947 \tabularnewline
68 & 119.270034254234 & 115.238628513461 & 123.301439995008 \tabularnewline
69 & 119.270034254234 & 115.021864577665 & 123.518203930804 \tabularnewline
70 & 119.270034254234 & 114.815636544655 & 123.724431963814 \tabularnewline
71 & 119.270034254234 & 114.618542847245 & 123.921525661223 \tabularnewline
72 & 119.270034254234 & 114.429467586635 & 124.110600921834 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294954&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]119.270034254234[/C][C]117.349295134139[/C][C]121.19077337433[/C][/ROW]
[ROW][C]62[/C][C]119.270034254234[/C][C]116.928250292882[/C][C]121.611818215587[/C][/ROW]
[ROW][C]63[/C][C]119.270034254234[/C][C]116.572134056705[/C][C]121.967934451764[/C][/ROW]
[ROW][C]64[/C][C]119.270034254234[/C][C]116.257829276147[/C][C]122.282239232322[/C][/ROW]
[ROW][C]65[/C][C]119.270034254234[/C][C]115.97335529137[/C][C]122.566713217099[/C][/ROW]
[ROW][C]66[/C][C]119.270034254234[/C][C]115.711550653264[/C][C]122.828517855205[/C][/ROW]
[ROW][C]67[/C][C]119.270034254234[/C][C]115.467729835522[/C][C]123.072338672947[/C][/ROW]
[ROW][C]68[/C][C]119.270034254234[/C][C]115.238628513461[/C][C]123.301439995008[/C][/ROW]
[ROW][C]69[/C][C]119.270034254234[/C][C]115.021864577665[/C][C]123.518203930804[/C][/ROW]
[ROW][C]70[/C][C]119.270034254234[/C][C]114.815636544655[/C][C]123.724431963814[/C][/ROW]
[ROW][C]71[/C][C]119.270034254234[/C][C]114.618542847245[/C][C]123.921525661223[/C][/ROW]
[ROW][C]72[/C][C]119.270034254234[/C][C]114.429467586635[/C][C]124.110600921834[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294954&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294954&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
61119.270034254234117.349295134139121.19077337433
62119.270034254234116.928250292882121.611818215587
63119.270034254234116.572134056705121.967934451764
64119.270034254234116.257829276147122.282239232322
65119.270034254234115.97335529137122.566713217099
66119.270034254234115.711550653264122.828517855205
67119.270034254234115.467729835522123.072338672947
68119.270034254234115.238628513461123.301439995008
69119.270034254234115.021864577665123.518203930804
70119.270034254234114.815636544655123.724431963814
71119.270034254234114.618542847245123.921525661223
72119.270034254234114.429467586635124.110600921834



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')