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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 29 Nov 2014 12:38:01 +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/2014/Nov/29/t14172647067kz83kr1gxyq6mx.htm/, Retrieved Sun, 19 May 2024 14:56:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261098, Retrieved Sun, 19 May 2024 14:56:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-11-29 12:38:01] [3bbf952604bb7b6db5ab93a0a8bc191d] [Current]
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Dataseries X:
1,4718
1,4748
1,5527
1,5751
1,5557
1,5553
1,577
1,4975
1,437
1,3322
1,2732
1,3449
1,3239
1,2785
1,305
1,319
1,365
1,4016
1,4088
1,4268
1,4562
1,4816
1,4914
1,4614
1,4272
1,3686
1,3569
1,3406
1,2565
1,2209
1,277
1,2894
1,3067
1,3898
1,3661
1,322
1,336
1,3649
1,3999
1,4442
1,4349
1,4388
1,4264
1,4343
1,377
1,3706
1,3556
1,3179
1,2905
1,3224
1,3201
1,3162
1,2789
1,2526
1,2288
1,24
1,2856
1,2974
1,2828
1,3119
1,3288
1,3359
1,2964
1,3026
1,2982
1,3189
1,308
1,331
1,3348
1,3635
1,3493
1,3704




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' @ 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261098&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' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261098&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261098&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' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999925886092675
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999925886092675 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261098&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]0.999925886092675[/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=261098&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261098&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
alpha0.999925886092675
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
21.47481.47180.00300000000000011
31.55271.474799777658280.077900222341722
41.57511.552694226510140.0224057734898591
51.55571.57509833942058-0.0193983394205799
61.55531.55570143768673-0.000401437686730288
71.5771.555300029752120.0216999702478844
81.49751.57699839173042-0.079498391730416
91.4371.49750589193644-0.0605058919364372
101.33221.43700448432807-0.104804484328068
111.27321.33220776746984-0.0590077674698386
121.34491.273204373296210.0716956267037903
131.32391.34489468635697-0.0209946863569668
141.27851.32390155599824-0.0454015559982393
151.3051.278503364886710.0264966351132865
161.3191.304998036230840.0140019637691593
171.3651.318998962259750.0460010377402453
181.40161.364996590683350.0366034093166479
191.40881.401597287178310.00720271282168605
201.42681.408799466178810.0180005338211906
211.45621.42679866591010.0294013340898953
221.48161.456197820952250.0254021790477501
231.49141.481598117345260.00980188265474369
241.46141.49139927354418-0.0299992735441774
251.42721.46140222336338-0.0342022233633794
261.36861.42720253486041-0.0586025348604127
271.35691.36860434326284-0.0117043432628376
281.34061.35690086745461-0.0163008674546119
291.25651.34060120812098-0.0841012081209798
301.22091.25650623306914-0.0356062330691442
311.2771.220902638917060.0560973610829418
321.28941.276995842405380.0124041575946208
331.30671.289399080679410.0173009193205864
341.38981.306698717761270.0831012822387311
351.36611.38979384103927-0.0236938410392693
361.3221.36610175604314-0.0441017560431389
371.3361.322003268553460.0139967314465397
381.36491.335998962647540.0289010373524572
391.39991.36489785803120.0350021419688038
401.44421.399897405854490.044302594145506
411.43491.44419671656164-0.0092967165616431
421.43881.434900689015990.00389931098401042
431.42641.43879971100683-0.0123997110068272
441.43431.426400918991030.00789908100896763
451.3771.43429941456824-0.0572994145682419
461.37061.3770042466835-0.00640424668350104
471.35561.37060047464375-0.0150004746437453
481.31791.35560111174379-0.0377011117437873
491.29051.3179027941767-0.0274027941767019
501.32241.290502030928150.0318979690718522
511.32011.32239763591688-0.00229763591687648
521.31621.32010017028678-0.00390017028677536
531.27891.31620028905686-0.0373002890568592
541.25261.27890276447017-0.0263027644701663
551.22881.25260194940065-0.0238019494006483
561.241.228801764055470.0111982359445282
571.28561.239999170054980.045600829945021
581.29741.285596620344320.0118033796556845
591.28281.29739912520541-0.0145991252054143
601.31191.282801081998210.0290989180017875
611.32881.311897843365490.0169021566345118
621.33591.328798747315130.00710125268487061
631.29641.33589947369842-0.0394994736984167
641.30261.296402927460330.00619707253966695
651.29821.30259954071074-0.00439954071074
661.31891.298200326067150.0206996739328473
671.3081.31889846586628-0.0108984658662845
681.3311.308000807727890.0229991922721107
691.33481.330998295440.00380170456000473
701.36351.334799718240820.0287002817591793
711.34931.36349787290998-0.0141978729099774
721.37041.349301052259840.0210989477401631

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 1.4748 & 1.4718 & 0.00300000000000011 \tabularnewline
3 & 1.5527 & 1.47479977765828 & 0.077900222341722 \tabularnewline
4 & 1.5751 & 1.55269422651014 & 0.0224057734898591 \tabularnewline
5 & 1.5557 & 1.57509833942058 & -0.0193983394205799 \tabularnewline
6 & 1.5553 & 1.55570143768673 & -0.000401437686730288 \tabularnewline
7 & 1.577 & 1.55530002975212 & 0.0216999702478844 \tabularnewline
8 & 1.4975 & 1.57699839173042 & -0.079498391730416 \tabularnewline
9 & 1.437 & 1.49750589193644 & -0.0605058919364372 \tabularnewline
10 & 1.3322 & 1.43700448432807 & -0.104804484328068 \tabularnewline
11 & 1.2732 & 1.33220776746984 & -0.0590077674698386 \tabularnewline
12 & 1.3449 & 1.27320437329621 & 0.0716956267037903 \tabularnewline
13 & 1.3239 & 1.34489468635697 & -0.0209946863569668 \tabularnewline
14 & 1.2785 & 1.32390155599824 & -0.0454015559982393 \tabularnewline
15 & 1.305 & 1.27850336488671 & 0.0264966351132865 \tabularnewline
16 & 1.319 & 1.30499803623084 & 0.0140019637691593 \tabularnewline
17 & 1.365 & 1.31899896225975 & 0.0460010377402453 \tabularnewline
18 & 1.4016 & 1.36499659068335 & 0.0366034093166479 \tabularnewline
19 & 1.4088 & 1.40159728717831 & 0.00720271282168605 \tabularnewline
20 & 1.4268 & 1.40879946617881 & 0.0180005338211906 \tabularnewline
21 & 1.4562 & 1.4267986659101 & 0.0294013340898953 \tabularnewline
22 & 1.4816 & 1.45619782095225 & 0.0254021790477501 \tabularnewline
23 & 1.4914 & 1.48159811734526 & 0.00980188265474369 \tabularnewline
24 & 1.4614 & 1.49139927354418 & -0.0299992735441774 \tabularnewline
25 & 1.4272 & 1.46140222336338 & -0.0342022233633794 \tabularnewline
26 & 1.3686 & 1.42720253486041 & -0.0586025348604127 \tabularnewline
27 & 1.3569 & 1.36860434326284 & -0.0117043432628376 \tabularnewline
28 & 1.3406 & 1.35690086745461 & -0.0163008674546119 \tabularnewline
29 & 1.2565 & 1.34060120812098 & -0.0841012081209798 \tabularnewline
30 & 1.2209 & 1.25650623306914 & -0.0356062330691442 \tabularnewline
31 & 1.277 & 1.22090263891706 & 0.0560973610829418 \tabularnewline
32 & 1.2894 & 1.27699584240538 & 0.0124041575946208 \tabularnewline
33 & 1.3067 & 1.28939908067941 & 0.0173009193205864 \tabularnewline
34 & 1.3898 & 1.30669871776127 & 0.0831012822387311 \tabularnewline
35 & 1.3661 & 1.38979384103927 & -0.0236938410392693 \tabularnewline
36 & 1.322 & 1.36610175604314 & -0.0441017560431389 \tabularnewline
37 & 1.336 & 1.32200326855346 & 0.0139967314465397 \tabularnewline
38 & 1.3649 & 1.33599896264754 & 0.0289010373524572 \tabularnewline
39 & 1.3999 & 1.3648978580312 & 0.0350021419688038 \tabularnewline
40 & 1.4442 & 1.39989740585449 & 0.044302594145506 \tabularnewline
41 & 1.4349 & 1.44419671656164 & -0.0092967165616431 \tabularnewline
42 & 1.4388 & 1.43490068901599 & 0.00389931098401042 \tabularnewline
43 & 1.4264 & 1.43879971100683 & -0.0123997110068272 \tabularnewline
44 & 1.4343 & 1.42640091899103 & 0.00789908100896763 \tabularnewline
45 & 1.377 & 1.43429941456824 & -0.0572994145682419 \tabularnewline
46 & 1.3706 & 1.3770042466835 & -0.00640424668350104 \tabularnewline
47 & 1.3556 & 1.37060047464375 & -0.0150004746437453 \tabularnewline
48 & 1.3179 & 1.35560111174379 & -0.0377011117437873 \tabularnewline
49 & 1.2905 & 1.3179027941767 & -0.0274027941767019 \tabularnewline
50 & 1.3224 & 1.29050203092815 & 0.0318979690718522 \tabularnewline
51 & 1.3201 & 1.32239763591688 & -0.00229763591687648 \tabularnewline
52 & 1.3162 & 1.32010017028678 & -0.00390017028677536 \tabularnewline
53 & 1.2789 & 1.31620028905686 & -0.0373002890568592 \tabularnewline
54 & 1.2526 & 1.27890276447017 & -0.0263027644701663 \tabularnewline
55 & 1.2288 & 1.25260194940065 & -0.0238019494006483 \tabularnewline
56 & 1.24 & 1.22880176405547 & 0.0111982359445282 \tabularnewline
57 & 1.2856 & 1.23999917005498 & 0.045600829945021 \tabularnewline
58 & 1.2974 & 1.28559662034432 & 0.0118033796556845 \tabularnewline
59 & 1.2828 & 1.29739912520541 & -0.0145991252054143 \tabularnewline
60 & 1.3119 & 1.28280108199821 & 0.0290989180017875 \tabularnewline
61 & 1.3288 & 1.31189784336549 & 0.0169021566345118 \tabularnewline
62 & 1.3359 & 1.32879874731513 & 0.00710125268487061 \tabularnewline
63 & 1.2964 & 1.33589947369842 & -0.0394994736984167 \tabularnewline
64 & 1.3026 & 1.29640292746033 & 0.00619707253966695 \tabularnewline
65 & 1.2982 & 1.30259954071074 & -0.00439954071074 \tabularnewline
66 & 1.3189 & 1.29820032606715 & 0.0206996739328473 \tabularnewline
67 & 1.308 & 1.31889846586628 & -0.0108984658662845 \tabularnewline
68 & 1.331 & 1.30800080772789 & 0.0229991922721107 \tabularnewline
69 & 1.3348 & 1.33099829544 & 0.00380170456000473 \tabularnewline
70 & 1.3635 & 1.33479971824082 & 0.0287002817591793 \tabularnewline
71 & 1.3493 & 1.36349787290998 & -0.0141978729099774 \tabularnewline
72 & 1.3704 & 1.34930105225984 & 0.0210989477401631 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261098&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]1.4748[/C][C]1.4718[/C][C]0.00300000000000011[/C][/ROW]
[ROW][C]3[/C][C]1.5527[/C][C]1.47479977765828[/C][C]0.077900222341722[/C][/ROW]
[ROW][C]4[/C][C]1.5751[/C][C]1.55269422651014[/C][C]0.0224057734898591[/C][/ROW]
[ROW][C]5[/C][C]1.5557[/C][C]1.57509833942058[/C][C]-0.0193983394205799[/C][/ROW]
[ROW][C]6[/C][C]1.5553[/C][C]1.55570143768673[/C][C]-0.000401437686730288[/C][/ROW]
[ROW][C]7[/C][C]1.577[/C][C]1.55530002975212[/C][C]0.0216999702478844[/C][/ROW]
[ROW][C]8[/C][C]1.4975[/C][C]1.57699839173042[/C][C]-0.079498391730416[/C][/ROW]
[ROW][C]9[/C][C]1.437[/C][C]1.49750589193644[/C][C]-0.0605058919364372[/C][/ROW]
[ROW][C]10[/C][C]1.3322[/C][C]1.43700448432807[/C][C]-0.104804484328068[/C][/ROW]
[ROW][C]11[/C][C]1.2732[/C][C]1.33220776746984[/C][C]-0.0590077674698386[/C][/ROW]
[ROW][C]12[/C][C]1.3449[/C][C]1.27320437329621[/C][C]0.0716956267037903[/C][/ROW]
[ROW][C]13[/C][C]1.3239[/C][C]1.34489468635697[/C][C]-0.0209946863569668[/C][/ROW]
[ROW][C]14[/C][C]1.2785[/C][C]1.32390155599824[/C][C]-0.0454015559982393[/C][/ROW]
[ROW][C]15[/C][C]1.305[/C][C]1.27850336488671[/C][C]0.0264966351132865[/C][/ROW]
[ROW][C]16[/C][C]1.319[/C][C]1.30499803623084[/C][C]0.0140019637691593[/C][/ROW]
[ROW][C]17[/C][C]1.365[/C][C]1.31899896225975[/C][C]0.0460010377402453[/C][/ROW]
[ROW][C]18[/C][C]1.4016[/C][C]1.36499659068335[/C][C]0.0366034093166479[/C][/ROW]
[ROW][C]19[/C][C]1.4088[/C][C]1.40159728717831[/C][C]0.00720271282168605[/C][/ROW]
[ROW][C]20[/C][C]1.4268[/C][C]1.40879946617881[/C][C]0.0180005338211906[/C][/ROW]
[ROW][C]21[/C][C]1.4562[/C][C]1.4267986659101[/C][C]0.0294013340898953[/C][/ROW]
[ROW][C]22[/C][C]1.4816[/C][C]1.45619782095225[/C][C]0.0254021790477501[/C][/ROW]
[ROW][C]23[/C][C]1.4914[/C][C]1.48159811734526[/C][C]0.00980188265474369[/C][/ROW]
[ROW][C]24[/C][C]1.4614[/C][C]1.49139927354418[/C][C]-0.0299992735441774[/C][/ROW]
[ROW][C]25[/C][C]1.4272[/C][C]1.46140222336338[/C][C]-0.0342022233633794[/C][/ROW]
[ROW][C]26[/C][C]1.3686[/C][C]1.42720253486041[/C][C]-0.0586025348604127[/C][/ROW]
[ROW][C]27[/C][C]1.3569[/C][C]1.36860434326284[/C][C]-0.0117043432628376[/C][/ROW]
[ROW][C]28[/C][C]1.3406[/C][C]1.35690086745461[/C][C]-0.0163008674546119[/C][/ROW]
[ROW][C]29[/C][C]1.2565[/C][C]1.34060120812098[/C][C]-0.0841012081209798[/C][/ROW]
[ROW][C]30[/C][C]1.2209[/C][C]1.25650623306914[/C][C]-0.0356062330691442[/C][/ROW]
[ROW][C]31[/C][C]1.277[/C][C]1.22090263891706[/C][C]0.0560973610829418[/C][/ROW]
[ROW][C]32[/C][C]1.2894[/C][C]1.27699584240538[/C][C]0.0124041575946208[/C][/ROW]
[ROW][C]33[/C][C]1.3067[/C][C]1.28939908067941[/C][C]0.0173009193205864[/C][/ROW]
[ROW][C]34[/C][C]1.3898[/C][C]1.30669871776127[/C][C]0.0831012822387311[/C][/ROW]
[ROW][C]35[/C][C]1.3661[/C][C]1.38979384103927[/C][C]-0.0236938410392693[/C][/ROW]
[ROW][C]36[/C][C]1.322[/C][C]1.36610175604314[/C][C]-0.0441017560431389[/C][/ROW]
[ROW][C]37[/C][C]1.336[/C][C]1.32200326855346[/C][C]0.0139967314465397[/C][/ROW]
[ROW][C]38[/C][C]1.3649[/C][C]1.33599896264754[/C][C]0.0289010373524572[/C][/ROW]
[ROW][C]39[/C][C]1.3999[/C][C]1.3648978580312[/C][C]0.0350021419688038[/C][/ROW]
[ROW][C]40[/C][C]1.4442[/C][C]1.39989740585449[/C][C]0.044302594145506[/C][/ROW]
[ROW][C]41[/C][C]1.4349[/C][C]1.44419671656164[/C][C]-0.0092967165616431[/C][/ROW]
[ROW][C]42[/C][C]1.4388[/C][C]1.43490068901599[/C][C]0.00389931098401042[/C][/ROW]
[ROW][C]43[/C][C]1.4264[/C][C]1.43879971100683[/C][C]-0.0123997110068272[/C][/ROW]
[ROW][C]44[/C][C]1.4343[/C][C]1.42640091899103[/C][C]0.00789908100896763[/C][/ROW]
[ROW][C]45[/C][C]1.377[/C][C]1.43429941456824[/C][C]-0.0572994145682419[/C][/ROW]
[ROW][C]46[/C][C]1.3706[/C][C]1.3770042466835[/C][C]-0.00640424668350104[/C][/ROW]
[ROW][C]47[/C][C]1.3556[/C][C]1.37060047464375[/C][C]-0.0150004746437453[/C][/ROW]
[ROW][C]48[/C][C]1.3179[/C][C]1.35560111174379[/C][C]-0.0377011117437873[/C][/ROW]
[ROW][C]49[/C][C]1.2905[/C][C]1.3179027941767[/C][C]-0.0274027941767019[/C][/ROW]
[ROW][C]50[/C][C]1.3224[/C][C]1.29050203092815[/C][C]0.0318979690718522[/C][/ROW]
[ROW][C]51[/C][C]1.3201[/C][C]1.32239763591688[/C][C]-0.00229763591687648[/C][/ROW]
[ROW][C]52[/C][C]1.3162[/C][C]1.32010017028678[/C][C]-0.00390017028677536[/C][/ROW]
[ROW][C]53[/C][C]1.2789[/C][C]1.31620028905686[/C][C]-0.0373002890568592[/C][/ROW]
[ROW][C]54[/C][C]1.2526[/C][C]1.27890276447017[/C][C]-0.0263027644701663[/C][/ROW]
[ROW][C]55[/C][C]1.2288[/C][C]1.25260194940065[/C][C]-0.0238019494006483[/C][/ROW]
[ROW][C]56[/C][C]1.24[/C][C]1.22880176405547[/C][C]0.0111982359445282[/C][/ROW]
[ROW][C]57[/C][C]1.2856[/C][C]1.23999917005498[/C][C]0.045600829945021[/C][/ROW]
[ROW][C]58[/C][C]1.2974[/C][C]1.28559662034432[/C][C]0.0118033796556845[/C][/ROW]
[ROW][C]59[/C][C]1.2828[/C][C]1.29739912520541[/C][C]-0.0145991252054143[/C][/ROW]
[ROW][C]60[/C][C]1.3119[/C][C]1.28280108199821[/C][C]0.0290989180017875[/C][/ROW]
[ROW][C]61[/C][C]1.3288[/C][C]1.31189784336549[/C][C]0.0169021566345118[/C][/ROW]
[ROW][C]62[/C][C]1.3359[/C][C]1.32879874731513[/C][C]0.00710125268487061[/C][/ROW]
[ROW][C]63[/C][C]1.2964[/C][C]1.33589947369842[/C][C]-0.0394994736984167[/C][/ROW]
[ROW][C]64[/C][C]1.3026[/C][C]1.29640292746033[/C][C]0.00619707253966695[/C][/ROW]
[ROW][C]65[/C][C]1.2982[/C][C]1.30259954071074[/C][C]-0.00439954071074[/C][/ROW]
[ROW][C]66[/C][C]1.3189[/C][C]1.29820032606715[/C][C]0.0206996739328473[/C][/ROW]
[ROW][C]67[/C][C]1.308[/C][C]1.31889846586628[/C][C]-0.0108984658662845[/C][/ROW]
[ROW][C]68[/C][C]1.331[/C][C]1.30800080772789[/C][C]0.0229991922721107[/C][/ROW]
[ROW][C]69[/C][C]1.3348[/C][C]1.33099829544[/C][C]0.00380170456000473[/C][/ROW]
[ROW][C]70[/C][C]1.3635[/C][C]1.33479971824082[/C][C]0.0287002817591793[/C][/ROW]
[ROW][C]71[/C][C]1.3493[/C][C]1.36349787290998[/C][C]-0.0141978729099774[/C][/ROW]
[ROW][C]72[/C][C]1.3704[/C][C]1.34930105225984[/C][C]0.0210989477401631[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261098&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261098&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
21.47481.47180.00300000000000011
31.55271.474799777658280.077900222341722
41.57511.552694226510140.0224057734898591
51.55571.57509833942058-0.0193983394205799
61.55531.55570143768673-0.000401437686730288
71.5771.555300029752120.0216999702478844
81.49751.57699839173042-0.079498391730416
91.4371.49750589193644-0.0605058919364372
101.33221.43700448432807-0.104804484328068
111.27321.33220776746984-0.0590077674698386
121.34491.273204373296210.0716956267037903
131.32391.34489468635697-0.0209946863569668
141.27851.32390155599824-0.0454015559982393
151.3051.278503364886710.0264966351132865
161.3191.304998036230840.0140019637691593
171.3651.318998962259750.0460010377402453
181.40161.364996590683350.0366034093166479
191.40881.401597287178310.00720271282168605
201.42681.408799466178810.0180005338211906
211.45621.42679866591010.0294013340898953
221.48161.456197820952250.0254021790477501
231.49141.481598117345260.00980188265474369
241.46141.49139927354418-0.0299992735441774
251.42721.46140222336338-0.0342022233633794
261.36861.42720253486041-0.0586025348604127
271.35691.36860434326284-0.0117043432628376
281.34061.35690086745461-0.0163008674546119
291.25651.34060120812098-0.0841012081209798
301.22091.25650623306914-0.0356062330691442
311.2771.220902638917060.0560973610829418
321.28941.276995842405380.0124041575946208
331.30671.289399080679410.0173009193205864
341.38981.306698717761270.0831012822387311
351.36611.38979384103927-0.0236938410392693
361.3221.36610175604314-0.0441017560431389
371.3361.322003268553460.0139967314465397
381.36491.335998962647540.0289010373524572
391.39991.36489785803120.0350021419688038
401.44421.399897405854490.044302594145506
411.43491.44419671656164-0.0092967165616431
421.43881.434900689015990.00389931098401042
431.42641.43879971100683-0.0123997110068272
441.43431.426400918991030.00789908100896763
451.3771.43429941456824-0.0572994145682419
461.37061.3770042466835-0.00640424668350104
471.35561.37060047464375-0.0150004746437453
481.31791.35560111174379-0.0377011117437873
491.29051.3179027941767-0.0274027941767019
501.32241.290502030928150.0318979690718522
511.32011.32239763591688-0.00229763591687648
521.31621.32010017028678-0.00390017028677536
531.27891.31620028905686-0.0373002890568592
541.25261.27890276447017-0.0263027644701663
551.22881.25260194940065-0.0238019494006483
561.241.228801764055470.0111982359445282
571.28561.239999170054980.045600829945021
581.29741.285596620344320.0118033796556845
591.28281.29739912520541-0.0145991252054143
601.31191.282801081998210.0290989180017875
611.32881.311897843365490.0169021566345118
621.33591.328798747315130.00710125268487061
631.29641.33589947369842-0.0394994736984167
641.30261.296402927460330.00619707253966695
651.29821.30259954071074-0.00439954071074
661.31891.298200326067150.0206996739328473
671.3081.31889846586628-0.0108984658662845
681.3311.308000807727890.0229991922721107
691.33481.330998295440.00380170456000473
701.36351.334799718240820.0287002817591793
711.34931.36349787290998-0.0141978729099774
721.37041.349301052259840.0210989477401631







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
731.370398436274541.298258390620421.44253848192867
741.370398436274541.268380785853661.47241608669543
751.370398436274541.245454385564571.49534248698452
761.370398436274541.226126364762981.5146705077861
771.370398436274541.209097954475341.53169891807375
781.370398436274541.193703047995521.54709382455357
791.370398436274541.179545940745941.56125093180314
801.370398436274541.166368806416741.57442806613235
811.370398436274541.153992556801891.5868043157472
821.370398436274541.142286798077911.59851007447118
831.370398436274541.131153092973631.60964377957546
841.370398436274541.120514965229361.62028190731973

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 1.37039843627454 & 1.29825839062042 & 1.44253848192867 \tabularnewline
74 & 1.37039843627454 & 1.26838078585366 & 1.47241608669543 \tabularnewline
75 & 1.37039843627454 & 1.24545438556457 & 1.49534248698452 \tabularnewline
76 & 1.37039843627454 & 1.22612636476298 & 1.5146705077861 \tabularnewline
77 & 1.37039843627454 & 1.20909795447534 & 1.53169891807375 \tabularnewline
78 & 1.37039843627454 & 1.19370304799552 & 1.54709382455357 \tabularnewline
79 & 1.37039843627454 & 1.17954594074594 & 1.56125093180314 \tabularnewline
80 & 1.37039843627454 & 1.16636880641674 & 1.57442806613235 \tabularnewline
81 & 1.37039843627454 & 1.15399255680189 & 1.5868043157472 \tabularnewline
82 & 1.37039843627454 & 1.14228679807791 & 1.59851007447118 \tabularnewline
83 & 1.37039843627454 & 1.13115309297363 & 1.60964377957546 \tabularnewline
84 & 1.37039843627454 & 1.12051496522936 & 1.62028190731973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261098&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]1.37039843627454[/C][C]1.29825839062042[/C][C]1.44253848192867[/C][/ROW]
[ROW][C]74[/C][C]1.37039843627454[/C][C]1.26838078585366[/C][C]1.47241608669543[/C][/ROW]
[ROW][C]75[/C][C]1.37039843627454[/C][C]1.24545438556457[/C][C]1.49534248698452[/C][/ROW]
[ROW][C]76[/C][C]1.37039843627454[/C][C]1.22612636476298[/C][C]1.5146705077861[/C][/ROW]
[ROW][C]77[/C][C]1.37039843627454[/C][C]1.20909795447534[/C][C]1.53169891807375[/C][/ROW]
[ROW][C]78[/C][C]1.37039843627454[/C][C]1.19370304799552[/C][C]1.54709382455357[/C][/ROW]
[ROW][C]79[/C][C]1.37039843627454[/C][C]1.17954594074594[/C][C]1.56125093180314[/C][/ROW]
[ROW][C]80[/C][C]1.37039843627454[/C][C]1.16636880641674[/C][C]1.57442806613235[/C][/ROW]
[ROW][C]81[/C][C]1.37039843627454[/C][C]1.15399255680189[/C][C]1.5868043157472[/C][/ROW]
[ROW][C]82[/C][C]1.37039843627454[/C][C]1.14228679807791[/C][C]1.59851007447118[/C][/ROW]
[ROW][C]83[/C][C]1.37039843627454[/C][C]1.13115309297363[/C][C]1.60964377957546[/C][/ROW]
[ROW][C]84[/C][C]1.37039843627454[/C][C]1.12051496522936[/C][C]1.62028190731973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261098&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261098&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
731.370398436274541.298258390620421.44253848192867
741.370398436274541.268380785853661.47241608669543
751.370398436274541.245454385564571.49534248698452
761.370398436274541.226126364762981.5146705077861
771.370398436274541.209097954475341.53169891807375
781.370398436274541.193703047995521.54709382455357
791.370398436274541.179545940745941.56125093180314
801.370398436274541.166368806416741.57442806613235
811.370398436274541.153992556801891.5868043157472
821.370398436274541.142286798077911.59851007447118
831.370398436274541.131153092973631.60964377957546
841.370398436274541.120514965229361.62028190731973



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')