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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 25 May 2008 11:52:53 -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/2008/May/25/t1211738212qeuc2k34huhw7nk.htm/, Retrieved Wed, 15 May 2024 07:51:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13189, Retrieved Wed, 15 May 2024 07:51:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Bierprijzen - Qui...] [2008-05-25 17:52:53] [4c7a5669b420c0879a97a0998c00f1a1] [Current]
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Dataseries X:
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,41
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,42
0,43
0,43
0,43
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,44
0,45
0,45
0,46
0,46
0,46
0,46
0,46
0,46
0,46
0,46
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47
0,47




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 6 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13189&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13189&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13189&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 time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.910118454309823
beta0.000748304930753182
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.910118454309823 \tabularnewline
beta & 0.000748304930753182 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13189&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]0.910118454309823[/C][/ROW]
[ROW][C]beta[/C][C]0.000748304930753182[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13189&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13189&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
alpha0.910118454309823
beta0.000748304930753182
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.410.4078902777777780.00210972222222183
140.410.410350036361519-0.000350036361519312
150.410.410570884874142-0.000570884874142252
160.410.410173679614221-0.000173679614221101
170.410.4097211932410080.000278806758992112
180.410.4096807129466430.000319287053356931
190.410.4096772919644270.000322708035573382
200.410.4096772042603150.000322795739684967
210.410.4096774162161220.000322583783877783
220.420.4196776549614740.000322345038525573
230.420.4196778959521160.000322104047884297
240.420.4196781369804410.000321863019558666
250.420.4177846696089790.00221533039102056
260.420.420121945245926-0.000121945245926514
270.420.420533176840395-0.000533176840395111
280.420.42020866081545-0.000208660815449846
290.420.419767652791130.000232347208870221
300.420.4196911408042080.000308859195791766
310.420.4196811431876610.00031885681233923
320.420.4196801621424410.000319837857558902
330.420.4196802648550180.000319735144982181
340.420.429680489433479-0.00968048943347943
350.420.420572732014195-0.000572732014194943
360.430.4197537226392710.0102462773607287
370.430.4270647727403650.0029352272596353
380.430.4298495891970380.000150410802962131
390.440.430474347754780.00952565224521962
400.440.43934318906630.000656810933700125
410.440.439739554116610.000260445883389582
420.440.439705564185210.000294435814789828
430.440.4396934002793310.000306599720668654
440.440.4396914057536660.000308594246334448
450.440.439691312305810.000308687694190513
460.440.448792685318849-0.00879268531884875
470.440.441322197324049-0.00132219732404926
480.440.440803647806101-0.000803647806101315
490.440.4374034358825620.00259656411743775
500.440.4396321017830630.000367898216937002
510.440.441299985587779-0.00129998558777922
520.450.439514220949420.0104857790505797
530.450.4488223313341830.00117766866581731
540.460.4496286484902150.0103713515097847
550.460.4587980983148030.00120190168519702
560.460.4596210571254850.000378942874515287
570.460.4596949887974710.000305011202529348
580.460.467984958925288-0.00798495892528828
590.460.461931595366267-0.00193159536626680
600.460.460915153179023-0.000915153179023076
610.460.4577291222236490.0022708777763506
620.470.4594708849938790.0105291150061207
630.470.470253513954647-0.000253513954647178
640.470.470496944112175-0.000496944112174658
650.470.4689828272858530.00101717271414709
660.470.470479286400635-0.000479286400634993
670.470.4689516861752350.00104831382476461
680.470.4695632685061010.000436731493899445
690.470.4696855644070630.000314435592936646
700.470.477241417769122-0.00724141776912202
710.470.472411778048425-0.00241177804842480
720.470.471052272746296-0.00105227274629632

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.41 & 0.407890277777778 & 0.00210972222222183 \tabularnewline
14 & 0.41 & 0.410350036361519 & -0.000350036361519312 \tabularnewline
15 & 0.41 & 0.410570884874142 & -0.000570884874142252 \tabularnewline
16 & 0.41 & 0.410173679614221 & -0.000173679614221101 \tabularnewline
17 & 0.41 & 0.409721193241008 & 0.000278806758992112 \tabularnewline
18 & 0.41 & 0.409680712946643 & 0.000319287053356931 \tabularnewline
19 & 0.41 & 0.409677291964427 & 0.000322708035573382 \tabularnewline
20 & 0.41 & 0.409677204260315 & 0.000322795739684967 \tabularnewline
21 & 0.41 & 0.409677416216122 & 0.000322583783877783 \tabularnewline
22 & 0.42 & 0.419677654961474 & 0.000322345038525573 \tabularnewline
23 & 0.42 & 0.419677895952116 & 0.000322104047884297 \tabularnewline
24 & 0.42 & 0.419678136980441 & 0.000321863019558666 \tabularnewline
25 & 0.42 & 0.417784669608979 & 0.00221533039102056 \tabularnewline
26 & 0.42 & 0.420121945245926 & -0.000121945245926514 \tabularnewline
27 & 0.42 & 0.420533176840395 & -0.000533176840395111 \tabularnewline
28 & 0.42 & 0.42020866081545 & -0.000208660815449846 \tabularnewline
29 & 0.42 & 0.41976765279113 & 0.000232347208870221 \tabularnewline
30 & 0.42 & 0.419691140804208 & 0.000308859195791766 \tabularnewline
31 & 0.42 & 0.419681143187661 & 0.00031885681233923 \tabularnewline
32 & 0.42 & 0.419680162142441 & 0.000319837857558902 \tabularnewline
33 & 0.42 & 0.419680264855018 & 0.000319735144982181 \tabularnewline
34 & 0.42 & 0.429680489433479 & -0.00968048943347943 \tabularnewline
35 & 0.42 & 0.420572732014195 & -0.000572732014194943 \tabularnewline
36 & 0.43 & 0.419753722639271 & 0.0102462773607287 \tabularnewline
37 & 0.43 & 0.427064772740365 & 0.0029352272596353 \tabularnewline
38 & 0.43 & 0.429849589197038 & 0.000150410802962131 \tabularnewline
39 & 0.44 & 0.43047434775478 & 0.00952565224521962 \tabularnewline
40 & 0.44 & 0.4393431890663 & 0.000656810933700125 \tabularnewline
41 & 0.44 & 0.43973955411661 & 0.000260445883389582 \tabularnewline
42 & 0.44 & 0.43970556418521 & 0.000294435814789828 \tabularnewline
43 & 0.44 & 0.439693400279331 & 0.000306599720668654 \tabularnewline
44 & 0.44 & 0.439691405753666 & 0.000308594246334448 \tabularnewline
45 & 0.44 & 0.43969131230581 & 0.000308687694190513 \tabularnewline
46 & 0.44 & 0.448792685318849 & -0.00879268531884875 \tabularnewline
47 & 0.44 & 0.441322197324049 & -0.00132219732404926 \tabularnewline
48 & 0.44 & 0.440803647806101 & -0.000803647806101315 \tabularnewline
49 & 0.44 & 0.437403435882562 & 0.00259656411743775 \tabularnewline
50 & 0.44 & 0.439632101783063 & 0.000367898216937002 \tabularnewline
51 & 0.44 & 0.441299985587779 & -0.00129998558777922 \tabularnewline
52 & 0.45 & 0.43951422094942 & 0.0104857790505797 \tabularnewline
53 & 0.45 & 0.448822331334183 & 0.00117766866581731 \tabularnewline
54 & 0.46 & 0.449628648490215 & 0.0103713515097847 \tabularnewline
55 & 0.46 & 0.458798098314803 & 0.00120190168519702 \tabularnewline
56 & 0.46 & 0.459621057125485 & 0.000378942874515287 \tabularnewline
57 & 0.46 & 0.459694988797471 & 0.000305011202529348 \tabularnewline
58 & 0.46 & 0.467984958925288 & -0.00798495892528828 \tabularnewline
59 & 0.46 & 0.461931595366267 & -0.00193159536626680 \tabularnewline
60 & 0.46 & 0.460915153179023 & -0.000915153179023076 \tabularnewline
61 & 0.46 & 0.457729122223649 & 0.0022708777763506 \tabularnewline
62 & 0.47 & 0.459470884993879 & 0.0105291150061207 \tabularnewline
63 & 0.47 & 0.470253513954647 & -0.000253513954647178 \tabularnewline
64 & 0.47 & 0.470496944112175 & -0.000496944112174658 \tabularnewline
65 & 0.47 & 0.468982827285853 & 0.00101717271414709 \tabularnewline
66 & 0.47 & 0.470479286400635 & -0.000479286400634993 \tabularnewline
67 & 0.47 & 0.468951686175235 & 0.00104831382476461 \tabularnewline
68 & 0.47 & 0.469563268506101 & 0.000436731493899445 \tabularnewline
69 & 0.47 & 0.469685564407063 & 0.000314435592936646 \tabularnewline
70 & 0.47 & 0.477241417769122 & -0.00724141776912202 \tabularnewline
71 & 0.47 & 0.472411778048425 & -0.00241177804842480 \tabularnewline
72 & 0.47 & 0.471052272746296 & -0.00105227274629632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13189&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]0.41[/C][C]0.407890277777778[/C][C]0.00210972222222183[/C][/ROW]
[ROW][C]14[/C][C]0.41[/C][C]0.410350036361519[/C][C]-0.000350036361519312[/C][/ROW]
[ROW][C]15[/C][C]0.41[/C][C]0.410570884874142[/C][C]-0.000570884874142252[/C][/ROW]
[ROW][C]16[/C][C]0.41[/C][C]0.410173679614221[/C][C]-0.000173679614221101[/C][/ROW]
[ROW][C]17[/C][C]0.41[/C][C]0.409721193241008[/C][C]0.000278806758992112[/C][/ROW]
[ROW][C]18[/C][C]0.41[/C][C]0.409680712946643[/C][C]0.000319287053356931[/C][/ROW]
[ROW][C]19[/C][C]0.41[/C][C]0.409677291964427[/C][C]0.000322708035573382[/C][/ROW]
[ROW][C]20[/C][C]0.41[/C][C]0.409677204260315[/C][C]0.000322795739684967[/C][/ROW]
[ROW][C]21[/C][C]0.41[/C][C]0.409677416216122[/C][C]0.000322583783877783[/C][/ROW]
[ROW][C]22[/C][C]0.42[/C][C]0.419677654961474[/C][C]0.000322345038525573[/C][/ROW]
[ROW][C]23[/C][C]0.42[/C][C]0.419677895952116[/C][C]0.000322104047884297[/C][/ROW]
[ROW][C]24[/C][C]0.42[/C][C]0.419678136980441[/C][C]0.000321863019558666[/C][/ROW]
[ROW][C]25[/C][C]0.42[/C][C]0.417784669608979[/C][C]0.00221533039102056[/C][/ROW]
[ROW][C]26[/C][C]0.42[/C][C]0.420121945245926[/C][C]-0.000121945245926514[/C][/ROW]
[ROW][C]27[/C][C]0.42[/C][C]0.420533176840395[/C][C]-0.000533176840395111[/C][/ROW]
[ROW][C]28[/C][C]0.42[/C][C]0.42020866081545[/C][C]-0.000208660815449846[/C][/ROW]
[ROW][C]29[/C][C]0.42[/C][C]0.41976765279113[/C][C]0.000232347208870221[/C][/ROW]
[ROW][C]30[/C][C]0.42[/C][C]0.419691140804208[/C][C]0.000308859195791766[/C][/ROW]
[ROW][C]31[/C][C]0.42[/C][C]0.419681143187661[/C][C]0.00031885681233923[/C][/ROW]
[ROW][C]32[/C][C]0.42[/C][C]0.419680162142441[/C][C]0.000319837857558902[/C][/ROW]
[ROW][C]33[/C][C]0.42[/C][C]0.419680264855018[/C][C]0.000319735144982181[/C][/ROW]
[ROW][C]34[/C][C]0.42[/C][C]0.429680489433479[/C][C]-0.00968048943347943[/C][/ROW]
[ROW][C]35[/C][C]0.42[/C][C]0.420572732014195[/C][C]-0.000572732014194943[/C][/ROW]
[ROW][C]36[/C][C]0.43[/C][C]0.419753722639271[/C][C]0.0102462773607287[/C][/ROW]
[ROW][C]37[/C][C]0.43[/C][C]0.427064772740365[/C][C]0.0029352272596353[/C][/ROW]
[ROW][C]38[/C][C]0.43[/C][C]0.429849589197038[/C][C]0.000150410802962131[/C][/ROW]
[ROW][C]39[/C][C]0.44[/C][C]0.43047434775478[/C][C]0.00952565224521962[/C][/ROW]
[ROW][C]40[/C][C]0.44[/C][C]0.4393431890663[/C][C]0.000656810933700125[/C][/ROW]
[ROW][C]41[/C][C]0.44[/C][C]0.43973955411661[/C][C]0.000260445883389582[/C][/ROW]
[ROW][C]42[/C][C]0.44[/C][C]0.43970556418521[/C][C]0.000294435814789828[/C][/ROW]
[ROW][C]43[/C][C]0.44[/C][C]0.439693400279331[/C][C]0.000306599720668654[/C][/ROW]
[ROW][C]44[/C][C]0.44[/C][C]0.439691405753666[/C][C]0.000308594246334448[/C][/ROW]
[ROW][C]45[/C][C]0.44[/C][C]0.43969131230581[/C][C]0.000308687694190513[/C][/ROW]
[ROW][C]46[/C][C]0.44[/C][C]0.448792685318849[/C][C]-0.00879268531884875[/C][/ROW]
[ROW][C]47[/C][C]0.44[/C][C]0.441322197324049[/C][C]-0.00132219732404926[/C][/ROW]
[ROW][C]48[/C][C]0.44[/C][C]0.440803647806101[/C][C]-0.000803647806101315[/C][/ROW]
[ROW][C]49[/C][C]0.44[/C][C]0.437403435882562[/C][C]0.00259656411743775[/C][/ROW]
[ROW][C]50[/C][C]0.44[/C][C]0.439632101783063[/C][C]0.000367898216937002[/C][/ROW]
[ROW][C]51[/C][C]0.44[/C][C]0.441299985587779[/C][C]-0.00129998558777922[/C][/ROW]
[ROW][C]52[/C][C]0.45[/C][C]0.43951422094942[/C][C]0.0104857790505797[/C][/ROW]
[ROW][C]53[/C][C]0.45[/C][C]0.448822331334183[/C][C]0.00117766866581731[/C][/ROW]
[ROW][C]54[/C][C]0.46[/C][C]0.449628648490215[/C][C]0.0103713515097847[/C][/ROW]
[ROW][C]55[/C][C]0.46[/C][C]0.458798098314803[/C][C]0.00120190168519702[/C][/ROW]
[ROW][C]56[/C][C]0.46[/C][C]0.459621057125485[/C][C]0.000378942874515287[/C][/ROW]
[ROW][C]57[/C][C]0.46[/C][C]0.459694988797471[/C][C]0.000305011202529348[/C][/ROW]
[ROW][C]58[/C][C]0.46[/C][C]0.467984958925288[/C][C]-0.00798495892528828[/C][/ROW]
[ROW][C]59[/C][C]0.46[/C][C]0.461931595366267[/C][C]-0.00193159536626680[/C][/ROW]
[ROW][C]60[/C][C]0.46[/C][C]0.460915153179023[/C][C]-0.000915153179023076[/C][/ROW]
[ROW][C]61[/C][C]0.46[/C][C]0.457729122223649[/C][C]0.0022708777763506[/C][/ROW]
[ROW][C]62[/C][C]0.47[/C][C]0.459470884993879[/C][C]0.0105291150061207[/C][/ROW]
[ROW][C]63[/C][C]0.47[/C][C]0.470253513954647[/C][C]-0.000253513954647178[/C][/ROW]
[ROW][C]64[/C][C]0.47[/C][C]0.470496944112175[/C][C]-0.000496944112174658[/C][/ROW]
[ROW][C]65[/C][C]0.47[/C][C]0.468982827285853[/C][C]0.00101717271414709[/C][/ROW]
[ROW][C]66[/C][C]0.47[/C][C]0.470479286400635[/C][C]-0.000479286400634993[/C][/ROW]
[ROW][C]67[/C][C]0.47[/C][C]0.468951686175235[/C][C]0.00104831382476461[/C][/ROW]
[ROW][C]68[/C][C]0.47[/C][C]0.469563268506101[/C][C]0.000436731493899445[/C][/ROW]
[ROW][C]69[/C][C]0.47[/C][C]0.469685564407063[/C][C]0.000314435592936646[/C][/ROW]
[ROW][C]70[/C][C]0.47[/C][C]0.477241417769122[/C][C]-0.00724141776912202[/C][/ROW]
[ROW][C]71[/C][C]0.47[/C][C]0.472411778048425[/C][C]-0.00241177804842480[/C][/ROW]
[ROW][C]72[/C][C]0.47[/C][C]0.471052272746296[/C][C]-0.00105227274629632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13189&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13189&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
130.410.4078902777777780.00210972222222183
140.410.410350036361519-0.000350036361519312
150.410.410570884874142-0.000570884874142252
160.410.410173679614221-0.000173679614221101
170.410.4097211932410080.000278806758992112
180.410.4096807129466430.000319287053356931
190.410.4096772919644270.000322708035573382
200.410.4096772042603150.000322795739684967
210.410.4096774162161220.000322583783877783
220.420.4196776549614740.000322345038525573
230.420.4196778959521160.000322104047884297
240.420.4196781369804410.000321863019558666
250.420.4177846696089790.00221533039102056
260.420.420121945245926-0.000121945245926514
270.420.420533176840395-0.000533176840395111
280.420.42020866081545-0.000208660815449846
290.420.419767652791130.000232347208870221
300.420.4196911408042080.000308859195791766
310.420.4196811431876610.00031885681233923
320.420.4196801621424410.000319837857558902
330.420.4196802648550180.000319735144982181
340.420.429680489433479-0.00968048943347943
350.420.420572732014195-0.000572732014194943
360.430.4197537226392710.0102462773607287
370.430.4270647727403650.0029352272596353
380.430.4298495891970380.000150410802962131
390.440.430474347754780.00952565224521962
400.440.43934318906630.000656810933700125
410.440.439739554116610.000260445883389582
420.440.439705564185210.000294435814789828
430.440.4396934002793310.000306599720668654
440.440.4396914057536660.000308594246334448
450.440.439691312305810.000308687694190513
460.440.448792685318849-0.00879268531884875
470.440.441322197324049-0.00132219732404926
480.440.440803647806101-0.000803647806101315
490.440.4374034358825620.00259656411743775
500.440.4396321017830630.000367898216937002
510.440.441299985587779-0.00129998558777922
520.450.439514220949420.0104857790505797
530.450.4488223313341830.00117766866581731
540.460.4496286484902150.0103713515097847
550.460.4587980983148030.00120190168519702
560.460.4596210571254850.000378942874515287
570.460.4596949887974710.000305011202529348
580.460.467984958925288-0.00798495892528828
590.460.461931595366267-0.00193159536626680
600.460.460915153179023-0.000915153179023076
610.460.4577291222236490.0022708777763506
620.470.4594708849938790.0105291150061207
630.470.470253513954647-0.000253513954647178
640.470.470496944112175-0.000496944112174658
650.470.4689828272858530.00101717271414709
660.470.470479286400635-0.000479286400634993
670.470.4689516861752350.00104831382476461
680.470.4695632685061010.000436731493899445
690.470.4696855644070630.000314435592936646
700.470.477241417769122-0.00724141776912202
710.470.472411778048425-0.00241177804842480
720.470.471052272746296-0.00105227274629632







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.4680303193551290.4605798457564870.475480792953771
740.4684485381339360.4583709477575820.47852612851029
750.468673055702920.4565208958432760.480825215562563
760.4691192962053010.4551958953018010.483042697108801
770.4681878494839290.4526921665469720.483683532420886
780.4686176650775030.4516931168815540.485542213273451
790.4676575099312790.4494137830621420.485901236800417
800.4672532532006360.4477777312181010.48672877518317
810.4669600027920530.4463244135739140.487595592010192
820.4735432598211950.4518078421985280.495278677443862
830.4757359043523890.4529521707132020.498519637991576
840.4766928805514820.4529055307242710.500480230378693

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.468030319355129 & 0.460579845756487 & 0.475480792953771 \tabularnewline
74 & 0.468448538133936 & 0.458370947757582 & 0.47852612851029 \tabularnewline
75 & 0.46867305570292 & 0.456520895843276 & 0.480825215562563 \tabularnewline
76 & 0.469119296205301 & 0.455195895301801 & 0.483042697108801 \tabularnewline
77 & 0.468187849483929 & 0.452692166546972 & 0.483683532420886 \tabularnewline
78 & 0.468617665077503 & 0.451693116881554 & 0.485542213273451 \tabularnewline
79 & 0.467657509931279 & 0.449413783062142 & 0.485901236800417 \tabularnewline
80 & 0.467253253200636 & 0.447777731218101 & 0.48672877518317 \tabularnewline
81 & 0.466960002792053 & 0.446324413573914 & 0.487595592010192 \tabularnewline
82 & 0.473543259821195 & 0.451807842198528 & 0.495278677443862 \tabularnewline
83 & 0.475735904352389 & 0.452952170713202 & 0.498519637991576 \tabularnewline
84 & 0.476692880551482 & 0.452905530724271 & 0.500480230378693 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13189&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]0.468030319355129[/C][C]0.460579845756487[/C][C]0.475480792953771[/C][/ROW]
[ROW][C]74[/C][C]0.468448538133936[/C][C]0.458370947757582[/C][C]0.47852612851029[/C][/ROW]
[ROW][C]75[/C][C]0.46867305570292[/C][C]0.456520895843276[/C][C]0.480825215562563[/C][/ROW]
[ROW][C]76[/C][C]0.469119296205301[/C][C]0.455195895301801[/C][C]0.483042697108801[/C][/ROW]
[ROW][C]77[/C][C]0.468187849483929[/C][C]0.452692166546972[/C][C]0.483683532420886[/C][/ROW]
[ROW][C]78[/C][C]0.468617665077503[/C][C]0.451693116881554[/C][C]0.485542213273451[/C][/ROW]
[ROW][C]79[/C][C]0.467657509931279[/C][C]0.449413783062142[/C][C]0.485901236800417[/C][/ROW]
[ROW][C]80[/C][C]0.467253253200636[/C][C]0.447777731218101[/C][C]0.48672877518317[/C][/ROW]
[ROW][C]81[/C][C]0.466960002792053[/C][C]0.446324413573914[/C][C]0.487595592010192[/C][/ROW]
[ROW][C]82[/C][C]0.473543259821195[/C][C]0.451807842198528[/C][C]0.495278677443862[/C][/ROW]
[ROW][C]83[/C][C]0.475735904352389[/C][C]0.452952170713202[/C][C]0.498519637991576[/C][/ROW]
[ROW][C]84[/C][C]0.476692880551482[/C][C]0.452905530724271[/C][C]0.500480230378693[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13189&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13189&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
730.4680303193551290.4605798457564870.475480792953771
740.4684485381339360.4583709477575820.47852612851029
750.468673055702920.4565208958432760.480825215562563
760.4691192962053010.4551958953018010.483042697108801
770.4681878494839290.4526921665469720.483683532420886
780.4686176650775030.4516931168815540.485542213273451
790.4676575099312790.4494137830621420.485901236800417
800.4672532532006360.4477777312181010.48672877518317
810.4669600027920530.4463244135739140.487595592010192
820.4735432598211950.4518078421985280.495278677443862
830.4757359043523890.4529521707132020.498519637991576
840.4766928805514820.4529055307242710.500480230378693



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')