Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 07 Dec 2010 09:58:27 +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/2010/Dec/07/t1291715832kj14sro727vjbq6.htm/, Retrieved Fri, 03 May 2024 19:37:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106107, Retrieved Fri, 03 May 2024 19:37:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Exponential Smoothing] [] [2009-11-27 15:04:36] [b98453cac15ba1066b407e146608df68]
-   PD    [Exponential Smoothing] [WS9-ExpSm] [2009-12-04 14:00:32] [a94022e7c2399c0f4d62eea578db3411]
-    D        [Exponential Smoothing] [] [2010-12-07 09:58:27] [7cc6e89f95359dcad314da35cb7f084f] [Current]
Feedback Forum

Post a new message
Dataseries X:
46
62
66
59
58
61
41
27
58
70
49
59
44
36
72
45
56
54
53
35
61
52
47
51
52
63
74
45
51
64
36
30
55
64
39
40
63
45
59
55
40
64
27
28
45
57
45
69
60
56
58
50
51
53
37
22
55
70
62
58
39
49
58
47
42
62
39
40
72
70
54
65




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106107&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106107&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106107&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0052078015322195
beta0.748150948749452
gamma0.25528536166977

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0052078015322195 \tabularnewline
beta & 0.748150948749452 \tabularnewline
gamma & 0.25528536166977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106107&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]0.0052078015322195[/C][/ROW]
[ROW][C]beta[/C][C]0.748150948749452[/C][/ROW]
[ROW][C]gamma[/C][C]0.25528536166977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106107&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106107&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
alpha0.0052078015322195
beta0.748150948749452
gamma0.25528536166977







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
134446.6829275162342-2.68292751623424
143637.4190430644953-1.41904306449529
157273.8530991176902-1.85309911769019
164546.4992868689191-1.49928686891911
175658.5280218489155-2.52802184891554
185456.6166500130302-2.61665001303023
195339.825039805973913.1749601940261
203526.74601746280038.25398253719967
216158.31243667050482.68756332949519
225270.6780753105334-18.6780753105334
234749.8765178806111-2.8765178806111
245160.2589543160451-9.2589543160451
255243.88207271917888.11792728082122
266335.418266243847427.5817337561526
277470.70268774381393.2973122561861
284544.63472079251720.365279207482814
295156.2770561007029-5.27705610070291
306454.60763547858419.39236452141591
313642.3875265574203-6.38752655742034
323028.33724819233721.66275180766281
335558.0193961688328-3.01939616883282
346464.9214476290073-0.921447629007304
353948.5935132205767-9.5935132205767
364057.3421270504528-17.3421270504528
376345.535706491793817.4642935082062
384542.16704545379122.83295454620884
395970.871765996104-11.8717659961041
405544.209867064611110.7901329353889
414054.3550646421634-14.3550646421634
426456.28766261938567.71233738061445
432740.2125612602168-13.2125612602168
442828.295078420808-0.295078420808014
454556.1952612606278-11.1952612606278
465763.2805438281635-6.28054382816352
474544.99887790736510.00112209263485852
486951.546725302810717.4532746971893
496048.834228794391811.1657712056082
505641.873031577775114.1269684222249
515866.3961330276469-8.3961330276469
525045.99095018140544.00904981859455
535149.64827465318911.35172534681087
545357.2022581602745-4.20225816027445
553736.17564932645230.824350673547698
562227.8097452358259-5.80974523582585
575552.58509862837722.41490137162282
587061.01439609709288.98560390290722
596244.709966828124317.2900331718757
605855.98672915131622.01327084868375
613951.7821660569171-12.7821660569171
624945.52007181477993.47992818522015
635864.3110080261975-6.31100802619751
644747.0876940994298-0.0876940994297968
654250.0740054724618-8.07400547246176
666256.15509613229575.84490386770427
673936.44605171361482.55394828638519
684026.398537237622313.6014627623777
697253.714171540275218.2858284597248
707064.29639572690395.70360427309613
715450.06746924521993.9325307547801
726557.70447279388587.29552720611421

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 44 & 46.6829275162342 & -2.68292751623424 \tabularnewline
14 & 36 & 37.4190430644953 & -1.41904306449529 \tabularnewline
15 & 72 & 73.8530991176902 & -1.85309911769019 \tabularnewline
16 & 45 & 46.4992868689191 & -1.49928686891911 \tabularnewline
17 & 56 & 58.5280218489155 & -2.52802184891554 \tabularnewline
18 & 54 & 56.6166500130302 & -2.61665001303023 \tabularnewline
19 & 53 & 39.8250398059739 & 13.1749601940261 \tabularnewline
20 & 35 & 26.7460174628003 & 8.25398253719967 \tabularnewline
21 & 61 & 58.3124366705048 & 2.68756332949519 \tabularnewline
22 & 52 & 70.6780753105334 & -18.6780753105334 \tabularnewline
23 & 47 & 49.8765178806111 & -2.8765178806111 \tabularnewline
24 & 51 & 60.2589543160451 & -9.2589543160451 \tabularnewline
25 & 52 & 43.8820727191788 & 8.11792728082122 \tabularnewline
26 & 63 & 35.4182662438474 & 27.5817337561526 \tabularnewline
27 & 74 & 70.7026877438139 & 3.2973122561861 \tabularnewline
28 & 45 & 44.6347207925172 & 0.365279207482814 \tabularnewline
29 & 51 & 56.2770561007029 & -5.27705610070291 \tabularnewline
30 & 64 & 54.6076354785841 & 9.39236452141591 \tabularnewline
31 & 36 & 42.3875265574203 & -6.38752655742034 \tabularnewline
32 & 30 & 28.3372481923372 & 1.66275180766281 \tabularnewline
33 & 55 & 58.0193961688328 & -3.01939616883282 \tabularnewline
34 & 64 & 64.9214476290073 & -0.921447629007304 \tabularnewline
35 & 39 & 48.5935132205767 & -9.5935132205767 \tabularnewline
36 & 40 & 57.3421270504528 & -17.3421270504528 \tabularnewline
37 & 63 & 45.5357064917938 & 17.4642935082062 \tabularnewline
38 & 45 & 42.1670454537912 & 2.83295454620884 \tabularnewline
39 & 59 & 70.871765996104 & -11.8717659961041 \tabularnewline
40 & 55 & 44.2098670646111 & 10.7901329353889 \tabularnewline
41 & 40 & 54.3550646421634 & -14.3550646421634 \tabularnewline
42 & 64 & 56.2876626193856 & 7.71233738061445 \tabularnewline
43 & 27 & 40.2125612602168 & -13.2125612602168 \tabularnewline
44 & 28 & 28.295078420808 & -0.295078420808014 \tabularnewline
45 & 45 & 56.1952612606278 & -11.1952612606278 \tabularnewline
46 & 57 & 63.2805438281635 & -6.28054382816352 \tabularnewline
47 & 45 & 44.9988779073651 & 0.00112209263485852 \tabularnewline
48 & 69 & 51.5467253028107 & 17.4532746971893 \tabularnewline
49 & 60 & 48.8342287943918 & 11.1657712056082 \tabularnewline
50 & 56 & 41.8730315777751 & 14.1269684222249 \tabularnewline
51 & 58 & 66.3961330276469 & -8.3961330276469 \tabularnewline
52 & 50 & 45.9909501814054 & 4.00904981859455 \tabularnewline
53 & 51 & 49.6482746531891 & 1.35172534681087 \tabularnewline
54 & 53 & 57.2022581602745 & -4.20225816027445 \tabularnewline
55 & 37 & 36.1756493264523 & 0.824350673547698 \tabularnewline
56 & 22 & 27.8097452358259 & -5.80974523582585 \tabularnewline
57 & 55 & 52.5850986283772 & 2.41490137162282 \tabularnewline
58 & 70 & 61.0143960970928 & 8.98560390290722 \tabularnewline
59 & 62 & 44.7099668281243 & 17.2900331718757 \tabularnewline
60 & 58 & 55.9867291513162 & 2.01327084868375 \tabularnewline
61 & 39 & 51.7821660569171 & -12.7821660569171 \tabularnewline
62 & 49 & 45.5200718147799 & 3.47992818522015 \tabularnewline
63 & 58 & 64.3110080261975 & -6.31100802619751 \tabularnewline
64 & 47 & 47.0876940994298 & -0.0876940994297968 \tabularnewline
65 & 42 & 50.0740054724618 & -8.07400547246176 \tabularnewline
66 & 62 & 56.1550961322957 & 5.84490386770427 \tabularnewline
67 & 39 & 36.4460517136148 & 2.55394828638519 \tabularnewline
68 & 40 & 26.3985372376223 & 13.6014627623777 \tabularnewline
69 & 72 & 53.7141715402752 & 18.2858284597248 \tabularnewline
70 & 70 & 64.2963957269039 & 5.70360427309613 \tabularnewline
71 & 54 & 50.0674692452199 & 3.9325307547801 \tabularnewline
72 & 65 & 57.7044727938858 & 7.29552720611421 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106107&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]44[/C][C]46.6829275162342[/C][C]-2.68292751623424[/C][/ROW]
[ROW][C]14[/C][C]36[/C][C]37.4190430644953[/C][C]-1.41904306449529[/C][/ROW]
[ROW][C]15[/C][C]72[/C][C]73.8530991176902[/C][C]-1.85309911769019[/C][/ROW]
[ROW][C]16[/C][C]45[/C][C]46.4992868689191[/C][C]-1.49928686891911[/C][/ROW]
[ROW][C]17[/C][C]56[/C][C]58.5280218489155[/C][C]-2.52802184891554[/C][/ROW]
[ROW][C]18[/C][C]54[/C][C]56.6166500130302[/C][C]-2.61665001303023[/C][/ROW]
[ROW][C]19[/C][C]53[/C][C]39.8250398059739[/C][C]13.1749601940261[/C][/ROW]
[ROW][C]20[/C][C]35[/C][C]26.7460174628003[/C][C]8.25398253719967[/C][/ROW]
[ROW][C]21[/C][C]61[/C][C]58.3124366705048[/C][C]2.68756332949519[/C][/ROW]
[ROW][C]22[/C][C]52[/C][C]70.6780753105334[/C][C]-18.6780753105334[/C][/ROW]
[ROW][C]23[/C][C]47[/C][C]49.8765178806111[/C][C]-2.8765178806111[/C][/ROW]
[ROW][C]24[/C][C]51[/C][C]60.2589543160451[/C][C]-9.2589543160451[/C][/ROW]
[ROW][C]25[/C][C]52[/C][C]43.8820727191788[/C][C]8.11792728082122[/C][/ROW]
[ROW][C]26[/C][C]63[/C][C]35.4182662438474[/C][C]27.5817337561526[/C][/ROW]
[ROW][C]27[/C][C]74[/C][C]70.7026877438139[/C][C]3.2973122561861[/C][/ROW]
[ROW][C]28[/C][C]45[/C][C]44.6347207925172[/C][C]0.365279207482814[/C][/ROW]
[ROW][C]29[/C][C]51[/C][C]56.2770561007029[/C][C]-5.27705610070291[/C][/ROW]
[ROW][C]30[/C][C]64[/C][C]54.6076354785841[/C][C]9.39236452141591[/C][/ROW]
[ROW][C]31[/C][C]36[/C][C]42.3875265574203[/C][C]-6.38752655742034[/C][/ROW]
[ROW][C]32[/C][C]30[/C][C]28.3372481923372[/C][C]1.66275180766281[/C][/ROW]
[ROW][C]33[/C][C]55[/C][C]58.0193961688328[/C][C]-3.01939616883282[/C][/ROW]
[ROW][C]34[/C][C]64[/C][C]64.9214476290073[/C][C]-0.921447629007304[/C][/ROW]
[ROW][C]35[/C][C]39[/C][C]48.5935132205767[/C][C]-9.5935132205767[/C][/ROW]
[ROW][C]36[/C][C]40[/C][C]57.3421270504528[/C][C]-17.3421270504528[/C][/ROW]
[ROW][C]37[/C][C]63[/C][C]45.5357064917938[/C][C]17.4642935082062[/C][/ROW]
[ROW][C]38[/C][C]45[/C][C]42.1670454537912[/C][C]2.83295454620884[/C][/ROW]
[ROW][C]39[/C][C]59[/C][C]70.871765996104[/C][C]-11.8717659961041[/C][/ROW]
[ROW][C]40[/C][C]55[/C][C]44.2098670646111[/C][C]10.7901329353889[/C][/ROW]
[ROW][C]41[/C][C]40[/C][C]54.3550646421634[/C][C]-14.3550646421634[/C][/ROW]
[ROW][C]42[/C][C]64[/C][C]56.2876626193856[/C][C]7.71233738061445[/C][/ROW]
[ROW][C]43[/C][C]27[/C][C]40.2125612602168[/C][C]-13.2125612602168[/C][/ROW]
[ROW][C]44[/C][C]28[/C][C]28.295078420808[/C][C]-0.295078420808014[/C][/ROW]
[ROW][C]45[/C][C]45[/C][C]56.1952612606278[/C][C]-11.1952612606278[/C][/ROW]
[ROW][C]46[/C][C]57[/C][C]63.2805438281635[/C][C]-6.28054382816352[/C][/ROW]
[ROW][C]47[/C][C]45[/C][C]44.9988779073651[/C][C]0.00112209263485852[/C][/ROW]
[ROW][C]48[/C][C]69[/C][C]51.5467253028107[/C][C]17.4532746971893[/C][/ROW]
[ROW][C]49[/C][C]60[/C][C]48.8342287943918[/C][C]11.1657712056082[/C][/ROW]
[ROW][C]50[/C][C]56[/C][C]41.8730315777751[/C][C]14.1269684222249[/C][/ROW]
[ROW][C]51[/C][C]58[/C][C]66.3961330276469[/C][C]-8.3961330276469[/C][/ROW]
[ROW][C]52[/C][C]50[/C][C]45.9909501814054[/C][C]4.00904981859455[/C][/ROW]
[ROW][C]53[/C][C]51[/C][C]49.6482746531891[/C][C]1.35172534681087[/C][/ROW]
[ROW][C]54[/C][C]53[/C][C]57.2022581602745[/C][C]-4.20225816027445[/C][/ROW]
[ROW][C]55[/C][C]37[/C][C]36.1756493264523[/C][C]0.824350673547698[/C][/ROW]
[ROW][C]56[/C][C]22[/C][C]27.8097452358259[/C][C]-5.80974523582585[/C][/ROW]
[ROW][C]57[/C][C]55[/C][C]52.5850986283772[/C][C]2.41490137162282[/C][/ROW]
[ROW][C]58[/C][C]70[/C][C]61.0143960970928[/C][C]8.98560390290722[/C][/ROW]
[ROW][C]59[/C][C]62[/C][C]44.7099668281243[/C][C]17.2900331718757[/C][/ROW]
[ROW][C]60[/C][C]58[/C][C]55.9867291513162[/C][C]2.01327084868375[/C][/ROW]
[ROW][C]61[/C][C]39[/C][C]51.7821660569171[/C][C]-12.7821660569171[/C][/ROW]
[ROW][C]62[/C][C]49[/C][C]45.5200718147799[/C][C]3.47992818522015[/C][/ROW]
[ROW][C]63[/C][C]58[/C][C]64.3110080261975[/C][C]-6.31100802619751[/C][/ROW]
[ROW][C]64[/C][C]47[/C][C]47.0876940994298[/C][C]-0.0876940994297968[/C][/ROW]
[ROW][C]65[/C][C]42[/C][C]50.0740054724618[/C][C]-8.07400547246176[/C][/ROW]
[ROW][C]66[/C][C]62[/C][C]56.1550961322957[/C][C]5.84490386770427[/C][/ROW]
[ROW][C]67[/C][C]39[/C][C]36.4460517136148[/C][C]2.55394828638519[/C][/ROW]
[ROW][C]68[/C][C]40[/C][C]26.3985372376223[/C][C]13.6014627623777[/C][/ROW]
[ROW][C]69[/C][C]72[/C][C]53.7141715402752[/C][C]18.2858284597248[/C][/ROW]
[ROW][C]70[/C][C]70[/C][C]64.2963957269039[/C][C]5.70360427309613[/C][/ROW]
[ROW][C]71[/C][C]54[/C][C]50.0674692452199[/C][C]3.9325307547801[/C][/ROW]
[ROW][C]72[/C][C]65[/C][C]57.7044727938858[/C][C]7.29552720611421[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106107&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106107&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
134446.6829275162342-2.68292751623424
143637.4190430644953-1.41904306449529
157273.8530991176902-1.85309911769019
164546.4992868689191-1.49928686891911
175658.5280218489155-2.52802184891554
185456.6166500130302-2.61665001303023
195339.825039805973913.1749601940261
203526.74601746280038.25398253719967
216158.31243667050482.68756332949519
225270.6780753105334-18.6780753105334
234749.8765178806111-2.8765178806111
245160.2589543160451-9.2589543160451
255243.88207271917888.11792728082122
266335.418266243847427.5817337561526
277470.70268774381393.2973122561861
284544.63472079251720.365279207482814
295156.2770561007029-5.27705610070291
306454.60763547858419.39236452141591
313642.3875265574203-6.38752655742034
323028.33724819233721.66275180766281
335558.0193961688328-3.01939616883282
346464.9214476290073-0.921447629007304
353948.5935132205767-9.5935132205767
364057.3421270504528-17.3421270504528
376345.535706491793817.4642935082062
384542.16704545379122.83295454620884
395970.871765996104-11.8717659961041
405544.209867064611110.7901329353889
414054.3550646421634-14.3550646421634
426456.28766261938567.71233738061445
432740.2125612602168-13.2125612602168
442828.295078420808-0.295078420808014
454556.1952612606278-11.1952612606278
465763.2805438281635-6.28054382816352
474544.99887790736510.00112209263485852
486951.546725302810717.4532746971893
496048.834228794391811.1657712056082
505641.873031577775114.1269684222249
515866.3961330276469-8.3961330276469
525045.99095018140544.00904981859455
535149.64827465318911.35172534681087
545357.2022581602745-4.20225816027445
553736.17564932645230.824350673547698
562227.8097452358259-5.80974523582585
575552.58509862837722.41490137162282
587061.01439609709288.98560390290722
596244.709966828124317.2900331718757
605855.98672915131622.01327084868375
613951.7821660569171-12.7821660569171
624945.52007181477993.47992818522015
635864.3110080261975-6.31100802619751
644747.0876940994298-0.0876940994297968
654250.0740054724618-8.07400547246176
666256.15509613229575.84490386770427
673936.44605171361482.55394828638519
684026.398537237622313.6014627623777
697253.714171540275218.2858284597248
707064.29639572690395.70360427309613
715450.06746924521993.9325307547801
726557.70447279388587.29552720611421







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7349.760097916772944.9339930730154.5862027605359
7447.845822211215843.016990788617152.6746536338144
7564.89066218895760.04902146626469.73230291165
7648.942461021049644.09882489178953.7860971503103
7750.155622280434945.296804001159955.0144405597099
7860.550248970572955.647712920462865.452785020683
7939.124302006699634.250606090119843.9979979232794
8031.598956329719826.727908195786336.4700044636533
8161.754062659104556.688978963750866.8191463544582
8269.518974377173764.290732528406474.747216225941
8354.002255584012848.856273588146859.1482375798789
8462.969937369239238.867976012579487.071898725899

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 49.7600979167729 & 44.93399307301 & 54.5862027605359 \tabularnewline
74 & 47.8458222112158 & 43.0169907886171 & 52.6746536338144 \tabularnewline
75 & 64.890662188957 & 60.049021466264 & 69.73230291165 \tabularnewline
76 & 48.9424610210496 & 44.098824891789 & 53.7860971503103 \tabularnewline
77 & 50.1556222804349 & 45.2968040011599 & 55.0144405597099 \tabularnewline
78 & 60.5502489705729 & 55.6477129204628 & 65.452785020683 \tabularnewline
79 & 39.1243020066996 & 34.2506060901198 & 43.9979979232794 \tabularnewline
80 & 31.5989563297198 & 26.7279081957863 & 36.4700044636533 \tabularnewline
81 & 61.7540626591045 & 56.6889789637508 & 66.8191463544582 \tabularnewline
82 & 69.5189743771737 & 64.2907325284064 & 74.747216225941 \tabularnewline
83 & 54.0022555840128 & 48.8562735881468 & 59.1482375798789 \tabularnewline
84 & 62.9699373692392 & 38.8679760125794 & 87.071898725899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106107&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]49.7600979167729[/C][C]44.93399307301[/C][C]54.5862027605359[/C][/ROW]
[ROW][C]74[/C][C]47.8458222112158[/C][C]43.0169907886171[/C][C]52.6746536338144[/C][/ROW]
[ROW][C]75[/C][C]64.890662188957[/C][C]60.049021466264[/C][C]69.73230291165[/C][/ROW]
[ROW][C]76[/C][C]48.9424610210496[/C][C]44.098824891789[/C][C]53.7860971503103[/C][/ROW]
[ROW][C]77[/C][C]50.1556222804349[/C][C]45.2968040011599[/C][C]55.0144405597099[/C][/ROW]
[ROW][C]78[/C][C]60.5502489705729[/C][C]55.6477129204628[/C][C]65.452785020683[/C][/ROW]
[ROW][C]79[/C][C]39.1243020066996[/C][C]34.2506060901198[/C][C]43.9979979232794[/C][/ROW]
[ROW][C]80[/C][C]31.5989563297198[/C][C]26.7279081957863[/C][C]36.4700044636533[/C][/ROW]
[ROW][C]81[/C][C]61.7540626591045[/C][C]56.6889789637508[/C][C]66.8191463544582[/C][/ROW]
[ROW][C]82[/C][C]69.5189743771737[/C][C]64.2907325284064[/C][C]74.747216225941[/C][/ROW]
[ROW][C]83[/C][C]54.0022555840128[/C][C]48.8562735881468[/C][C]59.1482375798789[/C][/ROW]
[ROW][C]84[/C][C]62.9699373692392[/C][C]38.8679760125794[/C][C]87.071898725899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106107&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106107&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
7349.760097916772944.9339930730154.5862027605359
7447.845822211215843.016990788617152.6746536338144
7564.89066218895760.04902146626469.73230291165
7648.942461021049644.09882489178953.7860971503103
7750.155622280434945.296804001159955.0144405597099
7860.550248970572955.647712920462865.452785020683
7939.124302006699634.250606090119843.9979979232794
8031.598956329719826.727908195786336.4700044636533
8161.754062659104556.688978963750866.8191463544582
8269.518974377173764.290732528406474.747216225941
8354.002255584012848.856273588146859.1482375798789
8462.969937369239238.867976012579487.071898725899



Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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=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')