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Author's title

Voorspelling van de tijdreeksen in verband met de evolutie van de prijzen v...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 23 May 2012 07:01:14 -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/23/t1337771088i34ttrlb73z8t1q.htm/, Retrieved Mon, 29 Apr 2024 03:36:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167164, Retrieved Mon, 29 Apr 2024 03:36:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Voorspelling van ...] [2012-05-23 11:01:14] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
369,82
373,1
374,55
375,01
374,81
375,31
375,31
375,39
375,59
376,26
377,18
377,26
377,26
381,87
387,09
387,14
388,78
389,16
389,16
389,42
389,49
388,97
388,97
389,09
389,09
391,76
390,96
391,76
392,8
393,06
393,06
393,26
393,87
394,47
394,57
394,57
394,57
399,57
406,13
407,03
409,46
409,9
409,9
410,14
410,54
410,69
410,79
410,97
410,97
413,8
423,31
423,85
426,6
426,26
426,26
426,32
427,14
427,55
428,29
428,8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167164&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167164&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167164&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.270520241331294
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.270520241331294 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167164&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]0.270520241331294[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167164&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167164&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
beta0.270520241331294
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3374.55376.38-1.83000000000004
4375.01377.334947958364-2.32494795836379
5374.81377.166002475584-2.35600247558449
6375.31376.328656117312-1.01865611731228
7375.31376.553089018623-1.24308901862332
8375.39376.216808277309-0.826808277309112
9375.59376.073139902597-0.48313990259669
10376.26376.1424407795490.117559220450573
11377.18376.8442429282360.335757071763567
12377.26377.855072012319-0.595072012318667
13377.26377.774092987937-0.514092987936692
14381.87377.6350204287734.23497957122669
15387.09383.3906681244153.6993318755853
16387.14389.611412276163-2.47141227616254
17388.78388.992845230786-0.212845230785945
18389.16390.575266287588-1.41526628758749
19389.16390.572408109921-1.41240810992133
20389.42390.190323127167-0.770323127167103
21389.49390.241935128903-0.751935128902801
22388.97390.108521456367-1.1385214563665
23388.97389.280528357229-0.31052835722943
24389.09389.196524151092-0.106524151091548
25389.09389.287707212031-0.197707212030593
26391.76389.2342234093192.52577659068089
27390.96392.587497102179-1.62749710217906
28391.76391.3472261933320.412773806668383
29392.8392.2588898631270.541110136873272
30393.06393.445271107941-0.385271107940525
31393.06393.601047474842-0.541047474842458
32393.26393.454683181376-0.194683181376433
33393.87393.6020174401670.267982559832717
34394.47394.2845121469260.185487853074164
35394.57394.934690365703-0.364690365703495
36394.57394.936034239962-0.366034239962175
37394.57394.837014569032-0.267014569032085
38399.57394.7647817233794.80521827662142
39406.13401.064690531225.06530946878024
40407.03408.994959271132-1.96495927113187
41409.46409.3633980148990.0966019851009037
42409.9411.819530807222-1.91953080722169
43409.9411.740258870009-1.84025887000922
44410.14411.242431596382-1.10243159638225
45410.54411.184201534878-0.644201534877652
46410.69411.409931980197-0.719931980196634
47410.79411.365175807172-0.575175807171661
48410.97411.309579109008-0.339579109007673
49410.97411.397716086488-0.427716086487862
50413.8411.282010227552.51798977245011
51423.31414.7931774284638.51682257153715
52423.85426.607150325891-2.75715032589085
53426.6426.4012853543440.198714645655798
54426.26429.205041688243-2.94504168824312
55426.26428.068348300009-1.80834830000884
56426.32427.579153481479-1.25915348147942
57427.14427.298526977796-0.158526977796441
58427.55428.075642221505-0.525642221505393
59428.29428.34344536089-0.0534453608898957
60428.8429.068987308964-0.268987308963915

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 374.55 & 376.38 & -1.83000000000004 \tabularnewline
4 & 375.01 & 377.334947958364 & -2.32494795836379 \tabularnewline
5 & 374.81 & 377.166002475584 & -2.35600247558449 \tabularnewline
6 & 375.31 & 376.328656117312 & -1.01865611731228 \tabularnewline
7 & 375.31 & 376.553089018623 & -1.24308901862332 \tabularnewline
8 & 375.39 & 376.216808277309 & -0.826808277309112 \tabularnewline
9 & 375.59 & 376.073139902597 & -0.48313990259669 \tabularnewline
10 & 376.26 & 376.142440779549 & 0.117559220450573 \tabularnewline
11 & 377.18 & 376.844242928236 & 0.335757071763567 \tabularnewline
12 & 377.26 & 377.855072012319 & -0.595072012318667 \tabularnewline
13 & 377.26 & 377.774092987937 & -0.514092987936692 \tabularnewline
14 & 381.87 & 377.635020428773 & 4.23497957122669 \tabularnewline
15 & 387.09 & 383.390668124415 & 3.6993318755853 \tabularnewline
16 & 387.14 & 389.611412276163 & -2.47141227616254 \tabularnewline
17 & 388.78 & 388.992845230786 & -0.212845230785945 \tabularnewline
18 & 389.16 & 390.575266287588 & -1.41526628758749 \tabularnewline
19 & 389.16 & 390.572408109921 & -1.41240810992133 \tabularnewline
20 & 389.42 & 390.190323127167 & -0.770323127167103 \tabularnewline
21 & 389.49 & 390.241935128903 & -0.751935128902801 \tabularnewline
22 & 388.97 & 390.108521456367 & -1.1385214563665 \tabularnewline
23 & 388.97 & 389.280528357229 & -0.31052835722943 \tabularnewline
24 & 389.09 & 389.196524151092 & -0.106524151091548 \tabularnewline
25 & 389.09 & 389.287707212031 & -0.197707212030593 \tabularnewline
26 & 391.76 & 389.234223409319 & 2.52577659068089 \tabularnewline
27 & 390.96 & 392.587497102179 & -1.62749710217906 \tabularnewline
28 & 391.76 & 391.347226193332 & 0.412773806668383 \tabularnewline
29 & 392.8 & 392.258889863127 & 0.541110136873272 \tabularnewline
30 & 393.06 & 393.445271107941 & -0.385271107940525 \tabularnewline
31 & 393.06 & 393.601047474842 & -0.541047474842458 \tabularnewline
32 & 393.26 & 393.454683181376 & -0.194683181376433 \tabularnewline
33 & 393.87 & 393.602017440167 & 0.267982559832717 \tabularnewline
34 & 394.47 & 394.284512146926 & 0.185487853074164 \tabularnewline
35 & 394.57 & 394.934690365703 & -0.364690365703495 \tabularnewline
36 & 394.57 & 394.936034239962 & -0.366034239962175 \tabularnewline
37 & 394.57 & 394.837014569032 & -0.267014569032085 \tabularnewline
38 & 399.57 & 394.764781723379 & 4.80521827662142 \tabularnewline
39 & 406.13 & 401.06469053122 & 5.06530946878024 \tabularnewline
40 & 407.03 & 408.994959271132 & -1.96495927113187 \tabularnewline
41 & 409.46 & 409.363398014899 & 0.0966019851009037 \tabularnewline
42 & 409.9 & 411.819530807222 & -1.91953080722169 \tabularnewline
43 & 409.9 & 411.740258870009 & -1.84025887000922 \tabularnewline
44 & 410.14 & 411.242431596382 & -1.10243159638225 \tabularnewline
45 & 410.54 & 411.184201534878 & -0.644201534877652 \tabularnewline
46 & 410.69 & 411.409931980197 & -0.719931980196634 \tabularnewline
47 & 410.79 & 411.365175807172 & -0.575175807171661 \tabularnewline
48 & 410.97 & 411.309579109008 & -0.339579109007673 \tabularnewline
49 & 410.97 & 411.397716086488 & -0.427716086487862 \tabularnewline
50 & 413.8 & 411.28201022755 & 2.51798977245011 \tabularnewline
51 & 423.31 & 414.793177428463 & 8.51682257153715 \tabularnewline
52 & 423.85 & 426.607150325891 & -2.75715032589085 \tabularnewline
53 & 426.6 & 426.401285354344 & 0.198714645655798 \tabularnewline
54 & 426.26 & 429.205041688243 & -2.94504168824312 \tabularnewline
55 & 426.26 & 428.068348300009 & -1.80834830000884 \tabularnewline
56 & 426.32 & 427.579153481479 & -1.25915348147942 \tabularnewline
57 & 427.14 & 427.298526977796 & -0.158526977796441 \tabularnewline
58 & 427.55 & 428.075642221505 & -0.525642221505393 \tabularnewline
59 & 428.29 & 428.34344536089 & -0.0534453608898957 \tabularnewline
60 & 428.8 & 429.068987308964 & -0.268987308963915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167164&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]374.55[/C][C]376.38[/C][C]-1.83000000000004[/C][/ROW]
[ROW][C]4[/C][C]375.01[/C][C]377.334947958364[/C][C]-2.32494795836379[/C][/ROW]
[ROW][C]5[/C][C]374.81[/C][C]377.166002475584[/C][C]-2.35600247558449[/C][/ROW]
[ROW][C]6[/C][C]375.31[/C][C]376.328656117312[/C][C]-1.01865611731228[/C][/ROW]
[ROW][C]7[/C][C]375.31[/C][C]376.553089018623[/C][C]-1.24308901862332[/C][/ROW]
[ROW][C]8[/C][C]375.39[/C][C]376.216808277309[/C][C]-0.826808277309112[/C][/ROW]
[ROW][C]9[/C][C]375.59[/C][C]376.073139902597[/C][C]-0.48313990259669[/C][/ROW]
[ROW][C]10[/C][C]376.26[/C][C]376.142440779549[/C][C]0.117559220450573[/C][/ROW]
[ROW][C]11[/C][C]377.18[/C][C]376.844242928236[/C][C]0.335757071763567[/C][/ROW]
[ROW][C]12[/C][C]377.26[/C][C]377.855072012319[/C][C]-0.595072012318667[/C][/ROW]
[ROW][C]13[/C][C]377.26[/C][C]377.774092987937[/C][C]-0.514092987936692[/C][/ROW]
[ROW][C]14[/C][C]381.87[/C][C]377.635020428773[/C][C]4.23497957122669[/C][/ROW]
[ROW][C]15[/C][C]387.09[/C][C]383.390668124415[/C][C]3.6993318755853[/C][/ROW]
[ROW][C]16[/C][C]387.14[/C][C]389.611412276163[/C][C]-2.47141227616254[/C][/ROW]
[ROW][C]17[/C][C]388.78[/C][C]388.992845230786[/C][C]-0.212845230785945[/C][/ROW]
[ROW][C]18[/C][C]389.16[/C][C]390.575266287588[/C][C]-1.41526628758749[/C][/ROW]
[ROW][C]19[/C][C]389.16[/C][C]390.572408109921[/C][C]-1.41240810992133[/C][/ROW]
[ROW][C]20[/C][C]389.42[/C][C]390.190323127167[/C][C]-0.770323127167103[/C][/ROW]
[ROW][C]21[/C][C]389.49[/C][C]390.241935128903[/C][C]-0.751935128902801[/C][/ROW]
[ROW][C]22[/C][C]388.97[/C][C]390.108521456367[/C][C]-1.1385214563665[/C][/ROW]
[ROW][C]23[/C][C]388.97[/C][C]389.280528357229[/C][C]-0.31052835722943[/C][/ROW]
[ROW][C]24[/C][C]389.09[/C][C]389.196524151092[/C][C]-0.106524151091548[/C][/ROW]
[ROW][C]25[/C][C]389.09[/C][C]389.287707212031[/C][C]-0.197707212030593[/C][/ROW]
[ROW][C]26[/C][C]391.76[/C][C]389.234223409319[/C][C]2.52577659068089[/C][/ROW]
[ROW][C]27[/C][C]390.96[/C][C]392.587497102179[/C][C]-1.62749710217906[/C][/ROW]
[ROW][C]28[/C][C]391.76[/C][C]391.347226193332[/C][C]0.412773806668383[/C][/ROW]
[ROW][C]29[/C][C]392.8[/C][C]392.258889863127[/C][C]0.541110136873272[/C][/ROW]
[ROW][C]30[/C][C]393.06[/C][C]393.445271107941[/C][C]-0.385271107940525[/C][/ROW]
[ROW][C]31[/C][C]393.06[/C][C]393.601047474842[/C][C]-0.541047474842458[/C][/ROW]
[ROW][C]32[/C][C]393.26[/C][C]393.454683181376[/C][C]-0.194683181376433[/C][/ROW]
[ROW][C]33[/C][C]393.87[/C][C]393.602017440167[/C][C]0.267982559832717[/C][/ROW]
[ROW][C]34[/C][C]394.47[/C][C]394.284512146926[/C][C]0.185487853074164[/C][/ROW]
[ROW][C]35[/C][C]394.57[/C][C]394.934690365703[/C][C]-0.364690365703495[/C][/ROW]
[ROW][C]36[/C][C]394.57[/C][C]394.936034239962[/C][C]-0.366034239962175[/C][/ROW]
[ROW][C]37[/C][C]394.57[/C][C]394.837014569032[/C][C]-0.267014569032085[/C][/ROW]
[ROW][C]38[/C][C]399.57[/C][C]394.764781723379[/C][C]4.80521827662142[/C][/ROW]
[ROW][C]39[/C][C]406.13[/C][C]401.06469053122[/C][C]5.06530946878024[/C][/ROW]
[ROW][C]40[/C][C]407.03[/C][C]408.994959271132[/C][C]-1.96495927113187[/C][/ROW]
[ROW][C]41[/C][C]409.46[/C][C]409.363398014899[/C][C]0.0966019851009037[/C][/ROW]
[ROW][C]42[/C][C]409.9[/C][C]411.819530807222[/C][C]-1.91953080722169[/C][/ROW]
[ROW][C]43[/C][C]409.9[/C][C]411.740258870009[/C][C]-1.84025887000922[/C][/ROW]
[ROW][C]44[/C][C]410.14[/C][C]411.242431596382[/C][C]-1.10243159638225[/C][/ROW]
[ROW][C]45[/C][C]410.54[/C][C]411.184201534878[/C][C]-0.644201534877652[/C][/ROW]
[ROW][C]46[/C][C]410.69[/C][C]411.409931980197[/C][C]-0.719931980196634[/C][/ROW]
[ROW][C]47[/C][C]410.79[/C][C]411.365175807172[/C][C]-0.575175807171661[/C][/ROW]
[ROW][C]48[/C][C]410.97[/C][C]411.309579109008[/C][C]-0.339579109007673[/C][/ROW]
[ROW][C]49[/C][C]410.97[/C][C]411.397716086488[/C][C]-0.427716086487862[/C][/ROW]
[ROW][C]50[/C][C]413.8[/C][C]411.28201022755[/C][C]2.51798977245011[/C][/ROW]
[ROW][C]51[/C][C]423.31[/C][C]414.793177428463[/C][C]8.51682257153715[/C][/ROW]
[ROW][C]52[/C][C]423.85[/C][C]426.607150325891[/C][C]-2.75715032589085[/C][/ROW]
[ROW][C]53[/C][C]426.6[/C][C]426.401285354344[/C][C]0.198714645655798[/C][/ROW]
[ROW][C]54[/C][C]426.26[/C][C]429.205041688243[/C][C]-2.94504168824312[/C][/ROW]
[ROW][C]55[/C][C]426.26[/C][C]428.068348300009[/C][C]-1.80834830000884[/C][/ROW]
[ROW][C]56[/C][C]426.32[/C][C]427.579153481479[/C][C]-1.25915348147942[/C][/ROW]
[ROW][C]57[/C][C]427.14[/C][C]427.298526977796[/C][C]-0.158526977796441[/C][/ROW]
[ROW][C]58[/C][C]427.55[/C][C]428.075642221505[/C][C]-0.525642221505393[/C][/ROW]
[ROW][C]59[/C][C]428.29[/C][C]428.34344536089[/C][C]-0.0534453608898957[/C][/ROW]
[ROW][C]60[/C][C]428.8[/C][C]429.068987308964[/C][C]-0.268987308963915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167164&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167164&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
3374.55376.38-1.83000000000004
4375.01377.334947958364-2.32494795836379
5374.81377.166002475584-2.35600247558449
6375.31376.328656117312-1.01865611731228
7375.31376.553089018623-1.24308901862332
8375.39376.216808277309-0.826808277309112
9375.59376.073139902597-0.48313990259669
10376.26376.1424407795490.117559220450573
11377.18376.8442429282360.335757071763567
12377.26377.855072012319-0.595072012318667
13377.26377.774092987937-0.514092987936692
14381.87377.6350204287734.23497957122669
15387.09383.3906681244153.6993318755853
16387.14389.611412276163-2.47141227616254
17388.78388.992845230786-0.212845230785945
18389.16390.575266287588-1.41526628758749
19389.16390.572408109921-1.41240810992133
20389.42390.190323127167-0.770323127167103
21389.49390.241935128903-0.751935128902801
22388.97390.108521456367-1.1385214563665
23388.97389.280528357229-0.31052835722943
24389.09389.196524151092-0.106524151091548
25389.09389.287707212031-0.197707212030593
26391.76389.2342234093192.52577659068089
27390.96392.587497102179-1.62749710217906
28391.76391.3472261933320.412773806668383
29392.8392.2588898631270.541110136873272
30393.06393.445271107941-0.385271107940525
31393.06393.601047474842-0.541047474842458
32393.26393.454683181376-0.194683181376433
33393.87393.6020174401670.267982559832717
34394.47394.2845121469260.185487853074164
35394.57394.934690365703-0.364690365703495
36394.57394.936034239962-0.366034239962175
37394.57394.837014569032-0.267014569032085
38399.57394.7647817233794.80521827662142
39406.13401.064690531225.06530946878024
40407.03408.994959271132-1.96495927113187
41409.46409.3633980148990.0966019851009037
42409.9411.819530807222-1.91953080722169
43409.9411.740258870009-1.84025887000922
44410.14411.242431596382-1.10243159638225
45410.54411.184201534878-0.644201534877652
46410.69411.409931980197-0.719931980196634
47410.79411.365175807172-0.575175807171661
48410.97411.309579109008-0.339579109007673
49410.97411.397716086488-0.427716086487862
50413.8411.282010227552.51798977245011
51423.31414.7931774284638.51682257153715
52423.85426.607150325891-2.75715032589085
53426.6426.4012853543440.198714645655798
54426.26429.205041688243-2.94504168824312
55426.26428.068348300009-1.80834830000884
56426.32427.579153481479-1.25915348147942
57427.14427.298526977796-0.158526977796441
58427.55428.075642221505-0.525642221505393
59428.29428.34344536089-0.0534453608898957
60428.8429.068987308964-0.268987308963915







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61429.506220797228425.529389385238433.483052209218
62430.212441594456423.782479883227436.642403305685
63430.918662391684422.035959677989439.801365105378
64431.624883188912420.187928320162443.061838057662
65432.33110398614418.211481327153446.450726645126
66433.037324783368416.099303101326449.975346465409
67433.743545580596413.850904001567453.636187159624
68434.449766377823411.468462576304457.431070179343
69435.155987175051408.955209826012461.35676452409
70435.862207972279406.314734886843465.409681057716
71436.568428769507403.550670374149469.586187164866
72437.274649566735400.666548089503473.882751043968

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 429.506220797228 & 425.529389385238 & 433.483052209218 \tabularnewline
62 & 430.212441594456 & 423.782479883227 & 436.642403305685 \tabularnewline
63 & 430.918662391684 & 422.035959677989 & 439.801365105378 \tabularnewline
64 & 431.624883188912 & 420.187928320162 & 443.061838057662 \tabularnewline
65 & 432.33110398614 & 418.211481327153 & 446.450726645126 \tabularnewline
66 & 433.037324783368 & 416.099303101326 & 449.975346465409 \tabularnewline
67 & 433.743545580596 & 413.850904001567 & 453.636187159624 \tabularnewline
68 & 434.449766377823 & 411.468462576304 & 457.431070179343 \tabularnewline
69 & 435.155987175051 & 408.955209826012 & 461.35676452409 \tabularnewline
70 & 435.862207972279 & 406.314734886843 & 465.409681057716 \tabularnewline
71 & 436.568428769507 & 403.550670374149 & 469.586187164866 \tabularnewline
72 & 437.274649566735 & 400.666548089503 & 473.882751043968 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167164&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]429.506220797228[/C][C]425.529389385238[/C][C]433.483052209218[/C][/ROW]
[ROW][C]62[/C][C]430.212441594456[/C][C]423.782479883227[/C][C]436.642403305685[/C][/ROW]
[ROW][C]63[/C][C]430.918662391684[/C][C]422.035959677989[/C][C]439.801365105378[/C][/ROW]
[ROW][C]64[/C][C]431.624883188912[/C][C]420.187928320162[/C][C]443.061838057662[/C][/ROW]
[ROW][C]65[/C][C]432.33110398614[/C][C]418.211481327153[/C][C]446.450726645126[/C][/ROW]
[ROW][C]66[/C][C]433.037324783368[/C][C]416.099303101326[/C][C]449.975346465409[/C][/ROW]
[ROW][C]67[/C][C]433.743545580596[/C][C]413.850904001567[/C][C]453.636187159624[/C][/ROW]
[ROW][C]68[/C][C]434.449766377823[/C][C]411.468462576304[/C][C]457.431070179343[/C][/ROW]
[ROW][C]69[/C][C]435.155987175051[/C][C]408.955209826012[/C][C]461.35676452409[/C][/ROW]
[ROW][C]70[/C][C]435.862207972279[/C][C]406.314734886843[/C][C]465.409681057716[/C][/ROW]
[ROW][C]71[/C][C]436.568428769507[/C][C]403.550670374149[/C][C]469.586187164866[/C][/ROW]
[ROW][C]72[/C][C]437.274649566735[/C][C]400.666548089503[/C][C]473.882751043968[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167164&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167164&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
61429.506220797228425.529389385238433.483052209218
62430.212441594456423.782479883227436.642403305685
63430.918662391684422.035959677989439.801365105378
64431.624883188912420.187928320162443.061838057662
65432.33110398614418.211481327153446.450726645126
66433.037324783368416.099303101326449.975346465409
67433.743545580596413.850904001567453.636187159624
68434.449766377823411.468462576304457.431070179343
69435.155987175051408.955209826012461.35676452409
70435.862207972279406.314734886843465.409681057716
71436.568428769507403.550670374149469.586187164866
72437.274649566735400.666548089503473.882751043968



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')