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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 08 Jan 2012 03:40:40 -0500
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/Jan/08/t1326012168v5ozfsyofhpyenf.htm/, Retrieved Fri, 03 May 2024 18:07:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=161016, Retrieved Fri, 03 May 2024 18:07:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact183
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2012-01-08 08:40:40] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
478,34
485,7
485,75
485,85
485,84
485,85
485,84
486
488,79
489,71
489,71
489,71
498,1
498,76
498,88
498,88
498,88
498,88
499,48
501,21
502,05
502,05
502,05
504,1
506,81
516,88
520,43
520,68
520,68
520,68
521,03
521,25
521,25
521,25
521,65
521,65
522,77
518,72
519,27
519,38
521,29
521,29
521,29
523,47
523,86
524,14
524,14
524,14
534,6
534,99
535,39
535,39
535,39
535,39
535,39
535,64
536,08
537,8
537,8
537,8
537,85
544,39
545,15
544,65
544,65
544,65
545,73
548,94
550,94
551,22
551,22
551,22




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161016&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161016&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161016&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.861988975717109
beta0
gamma0.0747324977131723

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.861988975717109 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.0747324977131723 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161016&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]0.861988975717109[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.0747324977131723[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161016&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161016&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
alpha0.861988975717109
beta0
gamma0.0747324977131723







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13498.1491.4774225427356.62257745726498
14498.76497.7653688192130.994631180787394
15498.88498.6779207827720.202079217228345
16498.88498.906885024393-0.0268850243931524
17498.88498.976817947237-0.0968179472368433
18498.88498.901052794883-0.0210527948829053
19499.48499.3939297019350.0860702980651809
20501.21499.382062200821.82793779918046
21502.05503.777915282826-1.72791528282556
22502.05503.239912208873-1.18991220887256
23502.05502.249411853569-0.199411853569018
24504.1502.1127118849811.98728811501894
25506.81512.29422784082-5.48422784082021
26516.88508.0881952959388.79180470406226
27520.43515.7136505698354.71634943016534
28520.68519.8315044521650.848495547834773
29520.68520.6552844960550.0247155039450035
30520.68520.685061273654-0.00506127365383691
31521.03521.192827553495-0.162827553495163
32521.25520.9843783103790.265621689620616
33521.25523.996857385831-2.74685738583105
34521.25522.586086366701-1.33608636670124
35521.65521.4798014289050.170198571095398
36521.65521.684254995204-0.0342549952042646
37522.77530.046162543746-7.2761625437463
38518.72524.442743733956-5.72274373395567
39519.27519.514784393748-0.244784393747523
40519.38519.3163029215550.0636970784447612
41521.29519.4550989446281.83490105537214
42521.29521.0449285965980.245071403401994
43521.29521.766679299544-0.476679299544458
44523.47521.2921122976392.17788770236075
45523.86525.921873160999-2.06187316099852
46524.14525.1161015555-0.976101555500122
47524.14524.335655241493-0.195655241493
48524.14524.222638139231-0.0826381392305393
49534.6532.468147578782.13185242121983
50534.99534.990355771726-0.00035577172639023
51535.39535.0515309414480.33846905855205
52535.39535.3589891648820.0310108351176268
53535.39535.487878042402-0.0978780424023853
54535.39535.395276061943-0.00527606194339114
55535.39535.893785938913-0.503785938912642
56535.64535.4232322740180.216767725981526
57536.08538.318800831834-2.2388008318336
58537.8537.3717180736280.428281926371483
59537.8537.80988429059-0.00988429058998008
60537.8537.858165348072-0.0581653480725208
61537.85546.147610116945-8.29761011694541
62544.39539.6577451790134.73225482098712
63545.15543.8018731143321.34812688566831
64544.65544.976474157985-0.326474157985331
65544.65544.79588556437-0.145885564369678
66544.65544.662856717582-0.0128567175820535
67545.73545.1496905676760.580309432323702
68548.94545.6210468860243.31895311397636
69550.94551.165338539361-0.225338539361246
70551.22551.981346127971-0.761346127970569
71551.22551.389546870591-0.169546870591034
72551.22551.299702577866-0.0797025778661009

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 498.1 & 491.477422542735 & 6.62257745726498 \tabularnewline
14 & 498.76 & 497.765368819213 & 0.994631180787394 \tabularnewline
15 & 498.88 & 498.677920782772 & 0.202079217228345 \tabularnewline
16 & 498.88 & 498.906885024393 & -0.0268850243931524 \tabularnewline
17 & 498.88 & 498.976817947237 & -0.0968179472368433 \tabularnewline
18 & 498.88 & 498.901052794883 & -0.0210527948829053 \tabularnewline
19 & 499.48 & 499.393929701935 & 0.0860702980651809 \tabularnewline
20 & 501.21 & 499.38206220082 & 1.82793779918046 \tabularnewline
21 & 502.05 & 503.777915282826 & -1.72791528282556 \tabularnewline
22 & 502.05 & 503.239912208873 & -1.18991220887256 \tabularnewline
23 & 502.05 & 502.249411853569 & -0.199411853569018 \tabularnewline
24 & 504.1 & 502.112711884981 & 1.98728811501894 \tabularnewline
25 & 506.81 & 512.29422784082 & -5.48422784082021 \tabularnewline
26 & 516.88 & 508.088195295938 & 8.79180470406226 \tabularnewline
27 & 520.43 & 515.713650569835 & 4.71634943016534 \tabularnewline
28 & 520.68 & 519.831504452165 & 0.848495547834773 \tabularnewline
29 & 520.68 & 520.655284496055 & 0.0247155039450035 \tabularnewline
30 & 520.68 & 520.685061273654 & -0.00506127365383691 \tabularnewline
31 & 521.03 & 521.192827553495 & -0.162827553495163 \tabularnewline
32 & 521.25 & 520.984378310379 & 0.265621689620616 \tabularnewline
33 & 521.25 & 523.996857385831 & -2.74685738583105 \tabularnewline
34 & 521.25 & 522.586086366701 & -1.33608636670124 \tabularnewline
35 & 521.65 & 521.479801428905 & 0.170198571095398 \tabularnewline
36 & 521.65 & 521.684254995204 & -0.0342549952042646 \tabularnewline
37 & 522.77 & 530.046162543746 & -7.2761625437463 \tabularnewline
38 & 518.72 & 524.442743733956 & -5.72274373395567 \tabularnewline
39 & 519.27 & 519.514784393748 & -0.244784393747523 \tabularnewline
40 & 519.38 & 519.316302921555 & 0.0636970784447612 \tabularnewline
41 & 521.29 & 519.455098944628 & 1.83490105537214 \tabularnewline
42 & 521.29 & 521.044928596598 & 0.245071403401994 \tabularnewline
43 & 521.29 & 521.766679299544 & -0.476679299544458 \tabularnewline
44 & 523.47 & 521.292112297639 & 2.17788770236075 \tabularnewline
45 & 523.86 & 525.921873160999 & -2.06187316099852 \tabularnewline
46 & 524.14 & 525.1161015555 & -0.976101555500122 \tabularnewline
47 & 524.14 & 524.335655241493 & -0.195655241493 \tabularnewline
48 & 524.14 & 524.222638139231 & -0.0826381392305393 \tabularnewline
49 & 534.6 & 532.46814757878 & 2.13185242121983 \tabularnewline
50 & 534.99 & 534.990355771726 & -0.00035577172639023 \tabularnewline
51 & 535.39 & 535.051530941448 & 0.33846905855205 \tabularnewline
52 & 535.39 & 535.358989164882 & 0.0310108351176268 \tabularnewline
53 & 535.39 & 535.487878042402 & -0.0978780424023853 \tabularnewline
54 & 535.39 & 535.395276061943 & -0.00527606194339114 \tabularnewline
55 & 535.39 & 535.893785938913 & -0.503785938912642 \tabularnewline
56 & 535.64 & 535.423232274018 & 0.216767725981526 \tabularnewline
57 & 536.08 & 538.318800831834 & -2.2388008318336 \tabularnewline
58 & 537.8 & 537.371718073628 & 0.428281926371483 \tabularnewline
59 & 537.8 & 537.80988429059 & -0.00988429058998008 \tabularnewline
60 & 537.8 & 537.858165348072 & -0.0581653480725208 \tabularnewline
61 & 537.85 & 546.147610116945 & -8.29761011694541 \tabularnewline
62 & 544.39 & 539.657745179013 & 4.73225482098712 \tabularnewline
63 & 545.15 & 543.801873114332 & 1.34812688566831 \tabularnewline
64 & 544.65 & 544.976474157985 & -0.326474157985331 \tabularnewline
65 & 544.65 & 544.79588556437 & -0.145885564369678 \tabularnewline
66 & 544.65 & 544.662856717582 & -0.0128567175820535 \tabularnewline
67 & 545.73 & 545.149690567676 & 0.580309432323702 \tabularnewline
68 & 548.94 & 545.621046886024 & 3.31895311397636 \tabularnewline
69 & 550.94 & 551.165338539361 & -0.225338539361246 \tabularnewline
70 & 551.22 & 551.981346127971 & -0.761346127970569 \tabularnewline
71 & 551.22 & 551.389546870591 & -0.169546870591034 \tabularnewline
72 & 551.22 & 551.299702577866 & -0.0797025778661009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161016&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]498.1[/C][C]491.477422542735[/C][C]6.62257745726498[/C][/ROW]
[ROW][C]14[/C][C]498.76[/C][C]497.765368819213[/C][C]0.994631180787394[/C][/ROW]
[ROW][C]15[/C][C]498.88[/C][C]498.677920782772[/C][C]0.202079217228345[/C][/ROW]
[ROW][C]16[/C][C]498.88[/C][C]498.906885024393[/C][C]-0.0268850243931524[/C][/ROW]
[ROW][C]17[/C][C]498.88[/C][C]498.976817947237[/C][C]-0.0968179472368433[/C][/ROW]
[ROW][C]18[/C][C]498.88[/C][C]498.901052794883[/C][C]-0.0210527948829053[/C][/ROW]
[ROW][C]19[/C][C]499.48[/C][C]499.393929701935[/C][C]0.0860702980651809[/C][/ROW]
[ROW][C]20[/C][C]501.21[/C][C]499.38206220082[/C][C]1.82793779918046[/C][/ROW]
[ROW][C]21[/C][C]502.05[/C][C]503.777915282826[/C][C]-1.72791528282556[/C][/ROW]
[ROW][C]22[/C][C]502.05[/C][C]503.239912208873[/C][C]-1.18991220887256[/C][/ROW]
[ROW][C]23[/C][C]502.05[/C][C]502.249411853569[/C][C]-0.199411853569018[/C][/ROW]
[ROW][C]24[/C][C]504.1[/C][C]502.112711884981[/C][C]1.98728811501894[/C][/ROW]
[ROW][C]25[/C][C]506.81[/C][C]512.29422784082[/C][C]-5.48422784082021[/C][/ROW]
[ROW][C]26[/C][C]516.88[/C][C]508.088195295938[/C][C]8.79180470406226[/C][/ROW]
[ROW][C]27[/C][C]520.43[/C][C]515.713650569835[/C][C]4.71634943016534[/C][/ROW]
[ROW][C]28[/C][C]520.68[/C][C]519.831504452165[/C][C]0.848495547834773[/C][/ROW]
[ROW][C]29[/C][C]520.68[/C][C]520.655284496055[/C][C]0.0247155039450035[/C][/ROW]
[ROW][C]30[/C][C]520.68[/C][C]520.685061273654[/C][C]-0.00506127365383691[/C][/ROW]
[ROW][C]31[/C][C]521.03[/C][C]521.192827553495[/C][C]-0.162827553495163[/C][/ROW]
[ROW][C]32[/C][C]521.25[/C][C]520.984378310379[/C][C]0.265621689620616[/C][/ROW]
[ROW][C]33[/C][C]521.25[/C][C]523.996857385831[/C][C]-2.74685738583105[/C][/ROW]
[ROW][C]34[/C][C]521.25[/C][C]522.586086366701[/C][C]-1.33608636670124[/C][/ROW]
[ROW][C]35[/C][C]521.65[/C][C]521.479801428905[/C][C]0.170198571095398[/C][/ROW]
[ROW][C]36[/C][C]521.65[/C][C]521.684254995204[/C][C]-0.0342549952042646[/C][/ROW]
[ROW][C]37[/C][C]522.77[/C][C]530.046162543746[/C][C]-7.2761625437463[/C][/ROW]
[ROW][C]38[/C][C]518.72[/C][C]524.442743733956[/C][C]-5.72274373395567[/C][/ROW]
[ROW][C]39[/C][C]519.27[/C][C]519.514784393748[/C][C]-0.244784393747523[/C][/ROW]
[ROW][C]40[/C][C]519.38[/C][C]519.316302921555[/C][C]0.0636970784447612[/C][/ROW]
[ROW][C]41[/C][C]521.29[/C][C]519.455098944628[/C][C]1.83490105537214[/C][/ROW]
[ROW][C]42[/C][C]521.29[/C][C]521.044928596598[/C][C]0.245071403401994[/C][/ROW]
[ROW][C]43[/C][C]521.29[/C][C]521.766679299544[/C][C]-0.476679299544458[/C][/ROW]
[ROW][C]44[/C][C]523.47[/C][C]521.292112297639[/C][C]2.17788770236075[/C][/ROW]
[ROW][C]45[/C][C]523.86[/C][C]525.921873160999[/C][C]-2.06187316099852[/C][/ROW]
[ROW][C]46[/C][C]524.14[/C][C]525.1161015555[/C][C]-0.976101555500122[/C][/ROW]
[ROW][C]47[/C][C]524.14[/C][C]524.335655241493[/C][C]-0.195655241493[/C][/ROW]
[ROW][C]48[/C][C]524.14[/C][C]524.222638139231[/C][C]-0.0826381392305393[/C][/ROW]
[ROW][C]49[/C][C]534.6[/C][C]532.46814757878[/C][C]2.13185242121983[/C][/ROW]
[ROW][C]50[/C][C]534.99[/C][C]534.990355771726[/C][C]-0.00035577172639023[/C][/ROW]
[ROW][C]51[/C][C]535.39[/C][C]535.051530941448[/C][C]0.33846905855205[/C][/ROW]
[ROW][C]52[/C][C]535.39[/C][C]535.358989164882[/C][C]0.0310108351176268[/C][/ROW]
[ROW][C]53[/C][C]535.39[/C][C]535.487878042402[/C][C]-0.0978780424023853[/C][/ROW]
[ROW][C]54[/C][C]535.39[/C][C]535.395276061943[/C][C]-0.00527606194339114[/C][/ROW]
[ROW][C]55[/C][C]535.39[/C][C]535.893785938913[/C][C]-0.503785938912642[/C][/ROW]
[ROW][C]56[/C][C]535.64[/C][C]535.423232274018[/C][C]0.216767725981526[/C][/ROW]
[ROW][C]57[/C][C]536.08[/C][C]538.318800831834[/C][C]-2.2388008318336[/C][/ROW]
[ROW][C]58[/C][C]537.8[/C][C]537.371718073628[/C][C]0.428281926371483[/C][/ROW]
[ROW][C]59[/C][C]537.8[/C][C]537.80988429059[/C][C]-0.00988429058998008[/C][/ROW]
[ROW][C]60[/C][C]537.8[/C][C]537.858165348072[/C][C]-0.0581653480725208[/C][/ROW]
[ROW][C]61[/C][C]537.85[/C][C]546.147610116945[/C][C]-8.29761011694541[/C][/ROW]
[ROW][C]62[/C][C]544.39[/C][C]539.657745179013[/C][C]4.73225482098712[/C][/ROW]
[ROW][C]63[/C][C]545.15[/C][C]543.801873114332[/C][C]1.34812688566831[/C][/ROW]
[ROW][C]64[/C][C]544.65[/C][C]544.976474157985[/C][C]-0.326474157985331[/C][/ROW]
[ROW][C]65[/C][C]544.65[/C][C]544.79588556437[/C][C]-0.145885564369678[/C][/ROW]
[ROW][C]66[/C][C]544.65[/C][C]544.662856717582[/C][C]-0.0128567175820535[/C][/ROW]
[ROW][C]67[/C][C]545.73[/C][C]545.149690567676[/C][C]0.580309432323702[/C][/ROW]
[ROW][C]68[/C][C]548.94[/C][C]545.621046886024[/C][C]3.31895311397636[/C][/ROW]
[ROW][C]69[/C][C]550.94[/C][C]551.165338539361[/C][C]-0.225338539361246[/C][/ROW]
[ROW][C]70[/C][C]551.22[/C][C]551.981346127971[/C][C]-0.761346127970569[/C][/ROW]
[ROW][C]71[/C][C]551.22[/C][C]551.389546870591[/C][C]-0.169546870591034[/C][/ROW]
[ROW][C]72[/C][C]551.22[/C][C]551.299702577866[/C][C]-0.0797025778661009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161016&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161016&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
13498.1491.4774225427356.62257745726498
14498.76497.7653688192130.994631180787394
15498.88498.6779207827720.202079217228345
16498.88498.906885024393-0.0268850243931524
17498.88498.976817947237-0.0968179472368433
18498.88498.901052794883-0.0210527948829053
19499.48499.3939297019350.0860702980651809
20501.21499.382062200821.82793779918046
21502.05503.777915282826-1.72791528282556
22502.05503.239912208873-1.18991220887256
23502.05502.249411853569-0.199411853569018
24504.1502.1127118849811.98728811501894
25506.81512.29422784082-5.48422784082021
26516.88508.0881952959388.79180470406226
27520.43515.7136505698354.71634943016534
28520.68519.8315044521650.848495547834773
29520.68520.6552844960550.0247155039450035
30520.68520.685061273654-0.00506127365383691
31521.03521.192827553495-0.162827553495163
32521.25520.9843783103790.265621689620616
33521.25523.996857385831-2.74685738583105
34521.25522.586086366701-1.33608636670124
35521.65521.4798014289050.170198571095398
36521.65521.684254995204-0.0342549952042646
37522.77530.046162543746-7.2761625437463
38518.72524.442743733956-5.72274373395567
39519.27519.514784393748-0.244784393747523
40519.38519.3163029215550.0636970784447612
41521.29519.4550989446281.83490105537214
42521.29521.0449285965980.245071403401994
43521.29521.766679299544-0.476679299544458
44523.47521.2921122976392.17788770236075
45523.86525.921873160999-2.06187316099852
46524.14525.1161015555-0.976101555500122
47524.14524.335655241493-0.195655241493
48524.14524.222638139231-0.0826381392305393
49534.6532.468147578782.13185242121983
50534.99534.990355771726-0.00035577172639023
51535.39535.0515309414480.33846905855205
52535.39535.3589891648820.0310108351176268
53535.39535.487878042402-0.0978780424023853
54535.39535.395276061943-0.00527606194339114
55535.39535.893785938913-0.503785938912642
56535.64535.4232322740180.216767725981526
57536.08538.318800831834-2.2388008318336
58537.8537.3717180736280.428281926371483
59537.8537.80988429059-0.00988429058998008
60537.8537.858165348072-0.0581653480725208
61537.85546.147610116945-8.29761011694541
62544.39539.6577451790134.73225482098712
63545.15543.8018731143321.34812688566831
64544.65544.976474157985-0.326474157985331
65544.65544.79588556437-0.145885564369678
66544.65544.662856717582-0.0128567175820535
67545.73545.1496905676760.580309432323702
68548.94545.6210468860243.31895311397636
69550.94551.165338539361-0.225338539361246
70551.22551.981346127971-0.761346127970569
71551.22551.389546870591-0.169546870591034
72551.22551.299702577866-0.0797025778661009







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73559.485601612186554.31135180355564.659851420822
74560.282573955334553.451339364573567.113808546096
75560.312646818609552.154297047616568.470996589602
76560.307905666916551.009971706207569.605839627625
77560.410596772581550.0982507306570.722942814562
78560.404691721357549.169150530947571.640232911768
79560.9087257817548.820289539024572.997162024377
80560.908107887382548.023109022613573.793106752151
81563.554943045539549.919837593181577.190048497898
82564.559661637628550.213616689671578.905706585584
83564.630238112688549.606859311612579.653616913765
84564.6874679991549.016002989329580.358933008871

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 559.485601612186 & 554.31135180355 & 564.659851420822 \tabularnewline
74 & 560.282573955334 & 553.451339364573 & 567.113808546096 \tabularnewline
75 & 560.312646818609 & 552.154297047616 & 568.470996589602 \tabularnewline
76 & 560.307905666916 & 551.009971706207 & 569.605839627625 \tabularnewline
77 & 560.410596772581 & 550.0982507306 & 570.722942814562 \tabularnewline
78 & 560.404691721357 & 549.169150530947 & 571.640232911768 \tabularnewline
79 & 560.9087257817 & 548.820289539024 & 572.997162024377 \tabularnewline
80 & 560.908107887382 & 548.023109022613 & 573.793106752151 \tabularnewline
81 & 563.554943045539 & 549.919837593181 & 577.190048497898 \tabularnewline
82 & 564.559661637628 & 550.213616689671 & 578.905706585584 \tabularnewline
83 & 564.630238112688 & 549.606859311612 & 579.653616913765 \tabularnewline
84 & 564.6874679991 & 549.016002989329 & 580.358933008871 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161016&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]559.485601612186[/C][C]554.31135180355[/C][C]564.659851420822[/C][/ROW]
[ROW][C]74[/C][C]560.282573955334[/C][C]553.451339364573[/C][C]567.113808546096[/C][/ROW]
[ROW][C]75[/C][C]560.312646818609[/C][C]552.154297047616[/C][C]568.470996589602[/C][/ROW]
[ROW][C]76[/C][C]560.307905666916[/C][C]551.009971706207[/C][C]569.605839627625[/C][/ROW]
[ROW][C]77[/C][C]560.410596772581[/C][C]550.0982507306[/C][C]570.722942814562[/C][/ROW]
[ROW][C]78[/C][C]560.404691721357[/C][C]549.169150530947[/C][C]571.640232911768[/C][/ROW]
[ROW][C]79[/C][C]560.9087257817[/C][C]548.820289539024[/C][C]572.997162024377[/C][/ROW]
[ROW][C]80[/C][C]560.908107887382[/C][C]548.023109022613[/C][C]573.793106752151[/C][/ROW]
[ROW][C]81[/C][C]563.554943045539[/C][C]549.919837593181[/C][C]577.190048497898[/C][/ROW]
[ROW][C]82[/C][C]564.559661637628[/C][C]550.213616689671[/C][C]578.905706585584[/C][/ROW]
[ROW][C]83[/C][C]564.630238112688[/C][C]549.606859311612[/C][C]579.653616913765[/C][/ROW]
[ROW][C]84[/C][C]564.6874679991[/C][C]549.016002989329[/C][C]580.358933008871[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161016&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161016&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
73559.485601612186554.31135180355564.659851420822
74560.282573955334553.451339364573567.113808546096
75560.312646818609552.154297047616568.470996589602
76560.307905666916551.009971706207569.605839627625
77560.410596772581550.0982507306570.722942814562
78560.404691721357549.169150530947571.640232911768
79560.9087257817548.820289539024572.997162024377
80560.908107887382548.023109022613573.793106752151
81563.554943045539549.919837593181577.190048497898
82564.559661637628550.213616689671578.905706585584
83564.630238112688549.606859311612579.653616913765
84564.6874679991549.016002989329580.358933008871



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=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')