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Agneta Peers - Exponential Smoothing Aantal werklozen jonger dan 25 jaar in...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 02 Jun 2009 02:59:24 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/02/t12439332322ecvnrqpg6yfjvg.htm/, Retrieved Fri, 10 May 2024 18:51:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41178, Retrieved Fri, 10 May 2024 18:51:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Agneta Peers - Ex...] [2009-06-02 08:59:24] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
122.860
117.702
113.537
108.366
111.078
150.739
159.129
157.928
147.768
137.507
136.919
136.151
133.001
125.554
119.647
114.158
116.193
152.803
161.761
160.942
149.470
139.208
134.588
130.322
126.611
122.401
117.352
112.135
112.879
148.729
157.230
157.221
146.681
136.524
132.111
125.326
122.716
116.615
113.719
110.737
112.093
143.565
149.946
149.147
134.339
122.683
115.614
116.566
111.272
104.609
101.802
94.542
93.051
124.129
130.374
123.946
114.971
105.531
104.919
104.782
101.281
94.545
93.248
84.031
87.486
115.867
120.327
117.008
108.811
104.519
106.758
109.337




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41178&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41178&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41178&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.023925778219556
gamma0.515582745538204

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.023925778219556 \tabularnewline
gamma & 0.515582745538204 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41178&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]0.023925778219556[/C][/ROW]
[ROW][C]gamma[/C][C]0.515582745538204[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41178&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41178&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
beta0.023925778219556
gamma0.515582745538204







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13133.001130.6012839209402.39971607905983
14125.554125.653831887052-0.0998318870517636
15119.647119.783193331463-0.136193331462991
16114.158114.345643133353-0.187643133352751
17116.193116.544195292026-0.351195292026333
18152.803153.459542671358-0.656542671357613
19161.761162.413751043678-0.652751043677682
20160.942160.0955084669740.846491533025926
21149.47150.505719768991-1.03571976899133
22139.208138.9937727008340.214227299165827
23134.588138.451356589016-3.86335658901589
24130.322133.714256109417-3.39225610941739
25126.611127.088552075413-0.477552075412873
26122.401119.0295429370353.37145706296515
27117.352116.4789576710000.873042328999816
28112.135111.9235542214730.211445778526539
29112.879114.403654892943-1.52465489294254
30148.729149.999926338113-1.27092633811267
31157.23158.179435103080-0.949435103080276
32157.221155.397094129371.82390587062989
33146.681146.6406908300570.0403091699425318
34136.524136.0864885916510.437511408348911
35132.111135.654414725909-3.54341472590909
36125.326131.131969104370-5.80596910437043
37122.716121.9295151085630.786484891436984
38116.615115.0017490383151.61325096168483
39113.719110.5180973230373.20090267696301
40110.737108.1713897439222.56561025607827
41112.093112.942815632573-0.849815632573069
42143.565149.167233132221-5.60223313222068
43149.946152.865112011432-2.91911201143157
44149.147147.9156449848481.23135501515196
45134.339138.355064445183-4.01606444518342
46122.683123.435810311286-0.752810311285842
47115.614121.47625707207-5.86225707206995
48116.566114.2423313428312.32366865716905
49111.272112.971385257111-1.69938525711143
50104.609103.3001428090071.30885719099318
51101.80298.24720823587963.55479176412038
5294.54295.997967728578-1.45596772857803
5393.05196.3951742342758-3.34417423427584
54124.129129.712912263219-5.58391226321903
55130.374133.017229483478-2.64322948347845
56123.946127.938363161073-3.99236316107338
57114.971112.6238010988432.34719890115706
58105.531103.6897929925231.84120700747745
59104.919104.0083036363730.910696363626926
60104.782103.3934260889281.38857391107207
61101.281101.0111071336990.269892866300978
6294.54593.17998119722781.36501880277220
6393.24888.05539033436855.19260966563151
6484.03187.3553358949425-3.32433589494245
6587.48685.75084023825941.73515976174063
66115.867124.136105285894-8.26910528589431
67120.327124.679177173416-4.35217717341649
68117.008117.774422947593-0.766422947593142
69108.811105.646044015463.16495598454003
70104.51997.5096013837547.00939861624592
71106.758103.0997650338323.65823496616784
72109.337105.4016244856413.93537551435894

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 133.001 & 130.601283920940 & 2.39971607905983 \tabularnewline
14 & 125.554 & 125.653831887052 & -0.0998318870517636 \tabularnewline
15 & 119.647 & 119.783193331463 & -0.136193331462991 \tabularnewline
16 & 114.158 & 114.345643133353 & -0.187643133352751 \tabularnewline
17 & 116.193 & 116.544195292026 & -0.351195292026333 \tabularnewline
18 & 152.803 & 153.459542671358 & -0.656542671357613 \tabularnewline
19 & 161.761 & 162.413751043678 & -0.652751043677682 \tabularnewline
20 & 160.942 & 160.095508466974 & 0.846491533025926 \tabularnewline
21 & 149.47 & 150.505719768991 & -1.03571976899133 \tabularnewline
22 & 139.208 & 138.993772700834 & 0.214227299165827 \tabularnewline
23 & 134.588 & 138.451356589016 & -3.86335658901589 \tabularnewline
24 & 130.322 & 133.714256109417 & -3.39225610941739 \tabularnewline
25 & 126.611 & 127.088552075413 & -0.477552075412873 \tabularnewline
26 & 122.401 & 119.029542937035 & 3.37145706296515 \tabularnewline
27 & 117.352 & 116.478957671000 & 0.873042328999816 \tabularnewline
28 & 112.135 & 111.923554221473 & 0.211445778526539 \tabularnewline
29 & 112.879 & 114.403654892943 & -1.52465489294254 \tabularnewline
30 & 148.729 & 149.999926338113 & -1.27092633811267 \tabularnewline
31 & 157.23 & 158.179435103080 & -0.949435103080276 \tabularnewline
32 & 157.221 & 155.39709412937 & 1.82390587062989 \tabularnewline
33 & 146.681 & 146.640690830057 & 0.0403091699425318 \tabularnewline
34 & 136.524 & 136.086488591651 & 0.437511408348911 \tabularnewline
35 & 132.111 & 135.654414725909 & -3.54341472590909 \tabularnewline
36 & 125.326 & 131.131969104370 & -5.80596910437043 \tabularnewline
37 & 122.716 & 121.929515108563 & 0.786484891436984 \tabularnewline
38 & 116.615 & 115.001749038315 & 1.61325096168483 \tabularnewline
39 & 113.719 & 110.518097323037 & 3.20090267696301 \tabularnewline
40 & 110.737 & 108.171389743922 & 2.56561025607827 \tabularnewline
41 & 112.093 & 112.942815632573 & -0.849815632573069 \tabularnewline
42 & 143.565 & 149.167233132221 & -5.60223313222068 \tabularnewline
43 & 149.946 & 152.865112011432 & -2.91911201143157 \tabularnewline
44 & 149.147 & 147.915644984848 & 1.23135501515196 \tabularnewline
45 & 134.339 & 138.355064445183 & -4.01606444518342 \tabularnewline
46 & 122.683 & 123.435810311286 & -0.752810311285842 \tabularnewline
47 & 115.614 & 121.47625707207 & -5.86225707206995 \tabularnewline
48 & 116.566 & 114.242331342831 & 2.32366865716905 \tabularnewline
49 & 111.272 & 112.971385257111 & -1.69938525711143 \tabularnewline
50 & 104.609 & 103.300142809007 & 1.30885719099318 \tabularnewline
51 & 101.802 & 98.2472082358796 & 3.55479176412038 \tabularnewline
52 & 94.542 & 95.997967728578 & -1.45596772857803 \tabularnewline
53 & 93.051 & 96.3951742342758 & -3.34417423427584 \tabularnewline
54 & 124.129 & 129.712912263219 & -5.58391226321903 \tabularnewline
55 & 130.374 & 133.017229483478 & -2.64322948347845 \tabularnewline
56 & 123.946 & 127.938363161073 & -3.99236316107338 \tabularnewline
57 & 114.971 & 112.623801098843 & 2.34719890115706 \tabularnewline
58 & 105.531 & 103.689792992523 & 1.84120700747745 \tabularnewline
59 & 104.919 & 104.008303636373 & 0.910696363626926 \tabularnewline
60 & 104.782 & 103.393426088928 & 1.38857391107207 \tabularnewline
61 & 101.281 & 101.011107133699 & 0.269892866300978 \tabularnewline
62 & 94.545 & 93.1799811972278 & 1.36501880277220 \tabularnewline
63 & 93.248 & 88.0553903343685 & 5.19260966563151 \tabularnewline
64 & 84.031 & 87.3553358949425 & -3.32433589494245 \tabularnewline
65 & 87.486 & 85.7508402382594 & 1.73515976174063 \tabularnewline
66 & 115.867 & 124.136105285894 & -8.26910528589431 \tabularnewline
67 & 120.327 & 124.679177173416 & -4.35217717341649 \tabularnewline
68 & 117.008 & 117.774422947593 & -0.766422947593142 \tabularnewline
69 & 108.811 & 105.64604401546 & 3.16495598454003 \tabularnewline
70 & 104.519 & 97.509601383754 & 7.00939861624592 \tabularnewline
71 & 106.758 & 103.099765033832 & 3.65823496616784 \tabularnewline
72 & 109.337 & 105.401624485641 & 3.93537551435894 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41178&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]13[/C][C]133.001[/C][C]130.601283920940[/C][C]2.39971607905983[/C][/ROW]
[ROW][C]14[/C][C]125.554[/C][C]125.653831887052[/C][C]-0.0998318870517636[/C][/ROW]
[ROW][C]15[/C][C]119.647[/C][C]119.783193331463[/C][C]-0.136193331462991[/C][/ROW]
[ROW][C]16[/C][C]114.158[/C][C]114.345643133353[/C][C]-0.187643133352751[/C][/ROW]
[ROW][C]17[/C][C]116.193[/C][C]116.544195292026[/C][C]-0.351195292026333[/C][/ROW]
[ROW][C]18[/C][C]152.803[/C][C]153.459542671358[/C][C]-0.656542671357613[/C][/ROW]
[ROW][C]19[/C][C]161.761[/C][C]162.413751043678[/C][C]-0.652751043677682[/C][/ROW]
[ROW][C]20[/C][C]160.942[/C][C]160.095508466974[/C][C]0.846491533025926[/C][/ROW]
[ROW][C]21[/C][C]149.47[/C][C]150.505719768991[/C][C]-1.03571976899133[/C][/ROW]
[ROW][C]22[/C][C]139.208[/C][C]138.993772700834[/C][C]0.214227299165827[/C][/ROW]
[ROW][C]23[/C][C]134.588[/C][C]138.451356589016[/C][C]-3.86335658901589[/C][/ROW]
[ROW][C]24[/C][C]130.322[/C][C]133.714256109417[/C][C]-3.39225610941739[/C][/ROW]
[ROW][C]25[/C][C]126.611[/C][C]127.088552075413[/C][C]-0.477552075412873[/C][/ROW]
[ROW][C]26[/C][C]122.401[/C][C]119.029542937035[/C][C]3.37145706296515[/C][/ROW]
[ROW][C]27[/C][C]117.352[/C][C]116.478957671000[/C][C]0.873042328999816[/C][/ROW]
[ROW][C]28[/C][C]112.135[/C][C]111.923554221473[/C][C]0.211445778526539[/C][/ROW]
[ROW][C]29[/C][C]112.879[/C][C]114.403654892943[/C][C]-1.52465489294254[/C][/ROW]
[ROW][C]30[/C][C]148.729[/C][C]149.999926338113[/C][C]-1.27092633811267[/C][/ROW]
[ROW][C]31[/C][C]157.23[/C][C]158.179435103080[/C][C]-0.949435103080276[/C][/ROW]
[ROW][C]32[/C][C]157.221[/C][C]155.39709412937[/C][C]1.82390587062989[/C][/ROW]
[ROW][C]33[/C][C]146.681[/C][C]146.640690830057[/C][C]0.0403091699425318[/C][/ROW]
[ROW][C]34[/C][C]136.524[/C][C]136.086488591651[/C][C]0.437511408348911[/C][/ROW]
[ROW][C]35[/C][C]132.111[/C][C]135.654414725909[/C][C]-3.54341472590909[/C][/ROW]
[ROW][C]36[/C][C]125.326[/C][C]131.131969104370[/C][C]-5.80596910437043[/C][/ROW]
[ROW][C]37[/C][C]122.716[/C][C]121.929515108563[/C][C]0.786484891436984[/C][/ROW]
[ROW][C]38[/C][C]116.615[/C][C]115.001749038315[/C][C]1.61325096168483[/C][/ROW]
[ROW][C]39[/C][C]113.719[/C][C]110.518097323037[/C][C]3.20090267696301[/C][/ROW]
[ROW][C]40[/C][C]110.737[/C][C]108.171389743922[/C][C]2.56561025607827[/C][/ROW]
[ROW][C]41[/C][C]112.093[/C][C]112.942815632573[/C][C]-0.849815632573069[/C][/ROW]
[ROW][C]42[/C][C]143.565[/C][C]149.167233132221[/C][C]-5.60223313222068[/C][/ROW]
[ROW][C]43[/C][C]149.946[/C][C]152.865112011432[/C][C]-2.91911201143157[/C][/ROW]
[ROW][C]44[/C][C]149.147[/C][C]147.915644984848[/C][C]1.23135501515196[/C][/ROW]
[ROW][C]45[/C][C]134.339[/C][C]138.355064445183[/C][C]-4.01606444518342[/C][/ROW]
[ROW][C]46[/C][C]122.683[/C][C]123.435810311286[/C][C]-0.752810311285842[/C][/ROW]
[ROW][C]47[/C][C]115.614[/C][C]121.47625707207[/C][C]-5.86225707206995[/C][/ROW]
[ROW][C]48[/C][C]116.566[/C][C]114.242331342831[/C][C]2.32366865716905[/C][/ROW]
[ROW][C]49[/C][C]111.272[/C][C]112.971385257111[/C][C]-1.69938525711143[/C][/ROW]
[ROW][C]50[/C][C]104.609[/C][C]103.300142809007[/C][C]1.30885719099318[/C][/ROW]
[ROW][C]51[/C][C]101.802[/C][C]98.2472082358796[/C][C]3.55479176412038[/C][/ROW]
[ROW][C]52[/C][C]94.542[/C][C]95.997967728578[/C][C]-1.45596772857803[/C][/ROW]
[ROW][C]53[/C][C]93.051[/C][C]96.3951742342758[/C][C]-3.34417423427584[/C][/ROW]
[ROW][C]54[/C][C]124.129[/C][C]129.712912263219[/C][C]-5.58391226321903[/C][/ROW]
[ROW][C]55[/C][C]130.374[/C][C]133.017229483478[/C][C]-2.64322948347845[/C][/ROW]
[ROW][C]56[/C][C]123.946[/C][C]127.938363161073[/C][C]-3.99236316107338[/C][/ROW]
[ROW][C]57[/C][C]114.971[/C][C]112.623801098843[/C][C]2.34719890115706[/C][/ROW]
[ROW][C]58[/C][C]105.531[/C][C]103.689792992523[/C][C]1.84120700747745[/C][/ROW]
[ROW][C]59[/C][C]104.919[/C][C]104.008303636373[/C][C]0.910696363626926[/C][/ROW]
[ROW][C]60[/C][C]104.782[/C][C]103.393426088928[/C][C]1.38857391107207[/C][/ROW]
[ROW][C]61[/C][C]101.281[/C][C]101.011107133699[/C][C]0.269892866300978[/C][/ROW]
[ROW][C]62[/C][C]94.545[/C][C]93.1799811972278[/C][C]1.36501880277220[/C][/ROW]
[ROW][C]63[/C][C]93.248[/C][C]88.0553903343685[/C][C]5.19260966563151[/C][/ROW]
[ROW][C]64[/C][C]84.031[/C][C]87.3553358949425[/C][C]-3.32433589494245[/C][/ROW]
[ROW][C]65[/C][C]87.486[/C][C]85.7508402382594[/C][C]1.73515976174063[/C][/ROW]
[ROW][C]66[/C][C]115.867[/C][C]124.136105285894[/C][C]-8.26910528589431[/C][/ROW]
[ROW][C]67[/C][C]120.327[/C][C]124.679177173416[/C][C]-4.35217717341649[/C][/ROW]
[ROW][C]68[/C][C]117.008[/C][C]117.774422947593[/C][C]-0.766422947593142[/C][/ROW]
[ROW][C]69[/C][C]108.811[/C][C]105.64604401546[/C][C]3.16495598454003[/C][/ROW]
[ROW][C]70[/C][C]104.519[/C][C]97.509601383754[/C][C]7.00939861624592[/C][/ROW]
[ROW][C]71[/C][C]106.758[/C][C]103.099765033832[/C][C]3.65823496616784[/C][/ROW]
[ROW][C]72[/C][C]109.337[/C][C]105.401624485641[/C][C]3.93537551435894[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41178&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41178&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
13133.001130.6012839209402.39971607905983
14125.554125.653831887052-0.0998318870517636
15119.647119.783193331463-0.136193331462991
16114.158114.345643133353-0.187643133352751
17116.193116.544195292026-0.351195292026333
18152.803153.459542671358-0.656542671357613
19161.761162.413751043678-0.652751043677682
20160.942160.0955084669740.846491533025926
21149.47150.505719768991-1.03571976899133
22139.208138.9937727008340.214227299165827
23134.588138.451356589016-3.86335658901589
24130.322133.714256109417-3.39225610941739
25126.611127.088552075413-0.477552075412873
26122.401119.0295429370353.37145706296515
27117.352116.4789576710000.873042328999816
28112.135111.9235542214730.211445778526539
29112.879114.403654892943-1.52465489294254
30148.729149.999926338113-1.27092633811267
31157.23158.179435103080-0.949435103080276
32157.221155.397094129371.82390587062989
33146.681146.6406908300570.0403091699425318
34136.524136.0864885916510.437511408348911
35132.111135.654414725909-3.54341472590909
36125.326131.131969104370-5.80596910437043
37122.716121.9295151085630.786484891436984
38116.615115.0017490383151.61325096168483
39113.719110.5180973230373.20090267696301
40110.737108.1713897439222.56561025607827
41112.093112.942815632573-0.849815632573069
42143.565149.167233132221-5.60223313222068
43149.946152.865112011432-2.91911201143157
44149.147147.9156449848481.23135501515196
45134.339138.355064445183-4.01606444518342
46122.683123.435810311286-0.752810311285842
47115.614121.47625707207-5.86225707206995
48116.566114.2423313428312.32366865716905
49111.272112.971385257111-1.69938525711143
50104.609103.3001428090071.30885719099318
51101.80298.24720823587963.55479176412038
5294.54295.997967728578-1.45596772857803
5393.05196.3951742342758-3.34417423427584
54124.129129.712912263219-5.58391226321903
55130.374133.017229483478-2.64322948347845
56123.946127.938363161073-3.99236316107338
57114.971112.6238010988432.34719890115706
58105.531103.6897929925231.84120700747745
59104.919104.0083036363730.910696363626926
60104.782103.3934260889281.38857391107207
61101.281101.0111071336990.269892866300978
6294.54593.17998119722781.36501880277220
6393.24888.05539033436855.19260966563151
6484.03187.3553358949425-3.32433589494245
6587.48685.75084023825941.73515976174063
66115.867124.136105285894-8.26910528589431
67120.327124.679177173416-4.35217717341649
68117.008117.774422947593-0.766422947593142
69108.811105.646044015463.16495598454003
70104.51997.5096013837547.00939861624592
71106.758103.0997650338323.65823496616784
72109.337105.4016244856413.93537551435894







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73105.79623974074299.9250108133906111.667468668093
7497.918896148149989.5158075581217106.321984738178
7591.620302555558281.2058332010404102.034771910076
7685.794417296299873.626483326104497.9623512664951
7787.66057370370873.8967188989998101.424428508416
78124.415480111116109.162418660540139.668541561692
79133.530303185191116.864930809346150.195675561037
80131.384501259266113.364528361134149.404474157398
81120.447657666674101.117636719474139.777678613875
82109.49564740741688.8906732053528130.100621609479
83108.25809548149186.4062158111396130.109975151842
84106.99587688889983.9197371482194130.072016629579

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 105.796239740742 & 99.9250108133906 & 111.667468668093 \tabularnewline
74 & 97.9188961481499 & 89.5158075581217 & 106.321984738178 \tabularnewline
75 & 91.6203025555582 & 81.2058332010404 & 102.034771910076 \tabularnewline
76 & 85.7944172962998 & 73.6264833261044 & 97.9623512664951 \tabularnewline
77 & 87.660573703708 & 73.8967188989998 & 101.424428508416 \tabularnewline
78 & 124.415480111116 & 109.162418660540 & 139.668541561692 \tabularnewline
79 & 133.530303185191 & 116.864930809346 & 150.195675561037 \tabularnewline
80 & 131.384501259266 & 113.364528361134 & 149.404474157398 \tabularnewline
81 & 120.447657666674 & 101.117636719474 & 139.777678613875 \tabularnewline
82 & 109.495647407416 & 88.8906732053528 & 130.100621609479 \tabularnewline
83 & 108.258095481491 & 86.4062158111396 & 130.109975151842 \tabularnewline
84 & 106.995876888899 & 83.9197371482194 & 130.072016629579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41178&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]73[/C][C]105.796239740742[/C][C]99.9250108133906[/C][C]111.667468668093[/C][/ROW]
[ROW][C]74[/C][C]97.9188961481499[/C][C]89.5158075581217[/C][C]106.321984738178[/C][/ROW]
[ROW][C]75[/C][C]91.6203025555582[/C][C]81.2058332010404[/C][C]102.034771910076[/C][/ROW]
[ROW][C]76[/C][C]85.7944172962998[/C][C]73.6264833261044[/C][C]97.9623512664951[/C][/ROW]
[ROW][C]77[/C][C]87.660573703708[/C][C]73.8967188989998[/C][C]101.424428508416[/C][/ROW]
[ROW][C]78[/C][C]124.415480111116[/C][C]109.162418660540[/C][C]139.668541561692[/C][/ROW]
[ROW][C]79[/C][C]133.530303185191[/C][C]116.864930809346[/C][C]150.195675561037[/C][/ROW]
[ROW][C]80[/C][C]131.384501259266[/C][C]113.364528361134[/C][C]149.404474157398[/C][/ROW]
[ROW][C]81[/C][C]120.447657666674[/C][C]101.117636719474[/C][C]139.777678613875[/C][/ROW]
[ROW][C]82[/C][C]109.495647407416[/C][C]88.8906732053528[/C][C]130.100621609479[/C][/ROW]
[ROW][C]83[/C][C]108.258095481491[/C][C]86.4062158111396[/C][C]130.109975151842[/C][/ROW]
[ROW][C]84[/C][C]106.995876888899[/C][C]83.9197371482194[/C][C]130.072016629579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41178&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41178&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
73105.79623974074299.9250108133906111.667468668093
7497.918896148149989.5158075581217106.321984738178
7591.620302555558281.2058332010404102.034771910076
7685.794417296299873.626483326104497.9623512664951
7787.66057370370873.8967188989998101.424428508416
78124.415480111116109.162418660540139.668541561692
79133.530303185191116.864930809346150.195675561037
80131.384501259266113.364528361134149.404474157398
81120.447657666674101.117636719474139.777678613875
82109.49564740741688.8906732053528130.100621609479
83108.25809548149186.4062158111396130.109975151842
84106.99587688889983.9197371482194130.072016629579



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')