Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 25 Dec 2011 07:22:40 -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/2011/Dec/25/t1324815856acwtk0l8gus565m.htm/, Retrieved Sun, 05 May 2024 09:13:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160773, Retrieved Sun, 05 May 2024 09:13:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact171
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [voorspelling eige...] [2011-12-25 12:22:40] [21349f6090e9c032390fa9064759562c] [Current]
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Dataseries X:
589,85
589,85
589,85
589,85
589,85
589,85
589,85
589,85
589,85
599,12
599,12
599,12
599
599
599
599
599
599
599
599
599
617,06
617,06
617,06
617,06
617,06
617,06
617,06
617,06
617,06
617,06
617,06
617,06
628,18
628,18
628,18
628,18
628,18
628,18
628,18
628,18
628,18
628,18
628,18
628,18
641,08
641,08
641,08
641,08
641,08
641,08
641,08
641,08
641,08
641,08
641,08
641,08
668,21
668,21
668,21
668,21
668,21
668,21
668,21
668,21
668,21
668,21
668,21
668,21
665,27
665,27
665,27




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160773&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160773&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160773&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.987770941319912
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.987770941319912 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160773&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]0.987770941319912[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160773&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160773&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
alpha0.987770941319912
beta0
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13599594.3475240384614.65247596153858
14599599.057077500557-0.0570775005567157
15599599.114670906202-0.114670906201695
16599598.7491252193390.25087478066132
17599598.3784049396840.621595060316054
18599598.373871379630.626128620369855
19599600.937565938458-1.93756593845831
20599599.137667509656-0.137667509655898
21599599.115656446152-0.115656446152002
22617.06608.3853872715658.67461272843536
23617.06617.067890554015-0.00789055401480709
24617.06617.174069396146-0.114069396145965
25617.06617.0553678634370.00463213656303196
26617.06617.173916255428-0.113916255428194
27617.06617.17536599067-0.115365990670284
28617.06616.8091337195670.250866280432547
29617.06616.4384050436340.621594956366266
30617.06616.4338713809010.626128619098722
31617.06618.997565938474-1.93756593847388
32617.06617.197667509656-0.137667509656012
33617.06617.175656446152-0.115656446152002
34628.18626.4453872715651.73461272843542
35628.18628.272760221255-0.0927602212547072
36628.18628.295107272287-0.115107272286878
37628.18628.1753805556850.00461944431481243
38628.18628.293916410642-0.113916410642446
39628.18628.295365992568-0.1153659925684
40628.18627.9291337195910.250866280409355
41628.18627.5584050436340.621594956366039
42628.18627.5538713809010.626128619098722
43628.18630.117565938474-1.93756593847388
44628.18628.317667509656-0.137667509656012
45628.18628.295656446152-0.115656446152002
46641.08637.5653872715653.51461272843551
47641.08641.150992496804-0.0709924968041378
48641.08641.194841073507-0.114841073507137
49641.08641.0753773003250.00462269967522388
50641.08641.193916370833-0.113916370832499
51641.08641.195365992082-0.115365992081593
52641.08640.8291337195850.250866280415266
53641.08640.4584050436340.621594956366039
54641.08640.4538713809010.626128619098722
55641.08643.017565938474-1.93756593847388
56641.08641.217667509656-0.137667509656012
57641.08641.195656446152-0.115656446152002
58668.21650.46538727156517.7446127284354
59668.21668.1069729917870.10302700821353
60668.21668.322712978769-0.112712978768855
61668.21668.2053512757290.00464872427073715
62668.21668.323916052576-0.113916052576087
63668.21668.32536598819-0.115365988189637
64668.21667.9591337195370.250866280462901
65668.21667.5884050436330.621594956366721
66668.21667.5838713809010.626128619098722
67668.21670.147565938474-1.93756593847388
68668.21668.347667509656-0.137667509656012
69668.21668.325656446152-0.115656446152002
70665.27677.595387271565-12.3253872715646
71665.27665.534700786297-0.264700786296657
72665.27665.387209943546-0.117209943546186

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 599 & 594.347524038461 & 4.65247596153858 \tabularnewline
14 & 599 & 599.057077500557 & -0.0570775005567157 \tabularnewline
15 & 599 & 599.114670906202 & -0.114670906201695 \tabularnewline
16 & 599 & 598.749125219339 & 0.25087478066132 \tabularnewline
17 & 599 & 598.378404939684 & 0.621595060316054 \tabularnewline
18 & 599 & 598.37387137963 & 0.626128620369855 \tabularnewline
19 & 599 & 600.937565938458 & -1.93756593845831 \tabularnewline
20 & 599 & 599.137667509656 & -0.137667509655898 \tabularnewline
21 & 599 & 599.115656446152 & -0.115656446152002 \tabularnewline
22 & 617.06 & 608.385387271565 & 8.67461272843536 \tabularnewline
23 & 617.06 & 617.067890554015 & -0.00789055401480709 \tabularnewline
24 & 617.06 & 617.174069396146 & -0.114069396145965 \tabularnewline
25 & 617.06 & 617.055367863437 & 0.00463213656303196 \tabularnewline
26 & 617.06 & 617.173916255428 & -0.113916255428194 \tabularnewline
27 & 617.06 & 617.17536599067 & -0.115365990670284 \tabularnewline
28 & 617.06 & 616.809133719567 & 0.250866280432547 \tabularnewline
29 & 617.06 & 616.438405043634 & 0.621594956366266 \tabularnewline
30 & 617.06 & 616.433871380901 & 0.626128619098722 \tabularnewline
31 & 617.06 & 618.997565938474 & -1.93756593847388 \tabularnewline
32 & 617.06 & 617.197667509656 & -0.137667509656012 \tabularnewline
33 & 617.06 & 617.175656446152 & -0.115656446152002 \tabularnewline
34 & 628.18 & 626.445387271565 & 1.73461272843542 \tabularnewline
35 & 628.18 & 628.272760221255 & -0.0927602212547072 \tabularnewline
36 & 628.18 & 628.295107272287 & -0.115107272286878 \tabularnewline
37 & 628.18 & 628.175380555685 & 0.00461944431481243 \tabularnewline
38 & 628.18 & 628.293916410642 & -0.113916410642446 \tabularnewline
39 & 628.18 & 628.295365992568 & -0.1153659925684 \tabularnewline
40 & 628.18 & 627.929133719591 & 0.250866280409355 \tabularnewline
41 & 628.18 & 627.558405043634 & 0.621594956366039 \tabularnewline
42 & 628.18 & 627.553871380901 & 0.626128619098722 \tabularnewline
43 & 628.18 & 630.117565938474 & -1.93756593847388 \tabularnewline
44 & 628.18 & 628.317667509656 & -0.137667509656012 \tabularnewline
45 & 628.18 & 628.295656446152 & -0.115656446152002 \tabularnewline
46 & 641.08 & 637.565387271565 & 3.51461272843551 \tabularnewline
47 & 641.08 & 641.150992496804 & -0.0709924968041378 \tabularnewline
48 & 641.08 & 641.194841073507 & -0.114841073507137 \tabularnewline
49 & 641.08 & 641.075377300325 & 0.00462269967522388 \tabularnewline
50 & 641.08 & 641.193916370833 & -0.113916370832499 \tabularnewline
51 & 641.08 & 641.195365992082 & -0.115365992081593 \tabularnewline
52 & 641.08 & 640.829133719585 & 0.250866280415266 \tabularnewline
53 & 641.08 & 640.458405043634 & 0.621594956366039 \tabularnewline
54 & 641.08 & 640.453871380901 & 0.626128619098722 \tabularnewline
55 & 641.08 & 643.017565938474 & -1.93756593847388 \tabularnewline
56 & 641.08 & 641.217667509656 & -0.137667509656012 \tabularnewline
57 & 641.08 & 641.195656446152 & -0.115656446152002 \tabularnewline
58 & 668.21 & 650.465387271565 & 17.7446127284354 \tabularnewline
59 & 668.21 & 668.106972991787 & 0.10302700821353 \tabularnewline
60 & 668.21 & 668.322712978769 & -0.112712978768855 \tabularnewline
61 & 668.21 & 668.205351275729 & 0.00464872427073715 \tabularnewline
62 & 668.21 & 668.323916052576 & -0.113916052576087 \tabularnewline
63 & 668.21 & 668.32536598819 & -0.115365988189637 \tabularnewline
64 & 668.21 & 667.959133719537 & 0.250866280462901 \tabularnewline
65 & 668.21 & 667.588405043633 & 0.621594956366721 \tabularnewline
66 & 668.21 & 667.583871380901 & 0.626128619098722 \tabularnewline
67 & 668.21 & 670.147565938474 & -1.93756593847388 \tabularnewline
68 & 668.21 & 668.347667509656 & -0.137667509656012 \tabularnewline
69 & 668.21 & 668.325656446152 & -0.115656446152002 \tabularnewline
70 & 665.27 & 677.595387271565 & -12.3253872715646 \tabularnewline
71 & 665.27 & 665.534700786297 & -0.264700786296657 \tabularnewline
72 & 665.27 & 665.387209943546 & -0.117209943546186 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160773&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]599[/C][C]594.347524038461[/C][C]4.65247596153858[/C][/ROW]
[ROW][C]14[/C][C]599[/C][C]599.057077500557[/C][C]-0.0570775005567157[/C][/ROW]
[ROW][C]15[/C][C]599[/C][C]599.114670906202[/C][C]-0.114670906201695[/C][/ROW]
[ROW][C]16[/C][C]599[/C][C]598.749125219339[/C][C]0.25087478066132[/C][/ROW]
[ROW][C]17[/C][C]599[/C][C]598.378404939684[/C][C]0.621595060316054[/C][/ROW]
[ROW][C]18[/C][C]599[/C][C]598.37387137963[/C][C]0.626128620369855[/C][/ROW]
[ROW][C]19[/C][C]599[/C][C]600.937565938458[/C][C]-1.93756593845831[/C][/ROW]
[ROW][C]20[/C][C]599[/C][C]599.137667509656[/C][C]-0.137667509655898[/C][/ROW]
[ROW][C]21[/C][C]599[/C][C]599.115656446152[/C][C]-0.115656446152002[/C][/ROW]
[ROW][C]22[/C][C]617.06[/C][C]608.385387271565[/C][C]8.67461272843536[/C][/ROW]
[ROW][C]23[/C][C]617.06[/C][C]617.067890554015[/C][C]-0.00789055401480709[/C][/ROW]
[ROW][C]24[/C][C]617.06[/C][C]617.174069396146[/C][C]-0.114069396145965[/C][/ROW]
[ROW][C]25[/C][C]617.06[/C][C]617.055367863437[/C][C]0.00463213656303196[/C][/ROW]
[ROW][C]26[/C][C]617.06[/C][C]617.173916255428[/C][C]-0.113916255428194[/C][/ROW]
[ROW][C]27[/C][C]617.06[/C][C]617.17536599067[/C][C]-0.115365990670284[/C][/ROW]
[ROW][C]28[/C][C]617.06[/C][C]616.809133719567[/C][C]0.250866280432547[/C][/ROW]
[ROW][C]29[/C][C]617.06[/C][C]616.438405043634[/C][C]0.621594956366266[/C][/ROW]
[ROW][C]30[/C][C]617.06[/C][C]616.433871380901[/C][C]0.626128619098722[/C][/ROW]
[ROW][C]31[/C][C]617.06[/C][C]618.997565938474[/C][C]-1.93756593847388[/C][/ROW]
[ROW][C]32[/C][C]617.06[/C][C]617.197667509656[/C][C]-0.137667509656012[/C][/ROW]
[ROW][C]33[/C][C]617.06[/C][C]617.175656446152[/C][C]-0.115656446152002[/C][/ROW]
[ROW][C]34[/C][C]628.18[/C][C]626.445387271565[/C][C]1.73461272843542[/C][/ROW]
[ROW][C]35[/C][C]628.18[/C][C]628.272760221255[/C][C]-0.0927602212547072[/C][/ROW]
[ROW][C]36[/C][C]628.18[/C][C]628.295107272287[/C][C]-0.115107272286878[/C][/ROW]
[ROW][C]37[/C][C]628.18[/C][C]628.175380555685[/C][C]0.00461944431481243[/C][/ROW]
[ROW][C]38[/C][C]628.18[/C][C]628.293916410642[/C][C]-0.113916410642446[/C][/ROW]
[ROW][C]39[/C][C]628.18[/C][C]628.295365992568[/C][C]-0.1153659925684[/C][/ROW]
[ROW][C]40[/C][C]628.18[/C][C]627.929133719591[/C][C]0.250866280409355[/C][/ROW]
[ROW][C]41[/C][C]628.18[/C][C]627.558405043634[/C][C]0.621594956366039[/C][/ROW]
[ROW][C]42[/C][C]628.18[/C][C]627.553871380901[/C][C]0.626128619098722[/C][/ROW]
[ROW][C]43[/C][C]628.18[/C][C]630.117565938474[/C][C]-1.93756593847388[/C][/ROW]
[ROW][C]44[/C][C]628.18[/C][C]628.317667509656[/C][C]-0.137667509656012[/C][/ROW]
[ROW][C]45[/C][C]628.18[/C][C]628.295656446152[/C][C]-0.115656446152002[/C][/ROW]
[ROW][C]46[/C][C]641.08[/C][C]637.565387271565[/C][C]3.51461272843551[/C][/ROW]
[ROW][C]47[/C][C]641.08[/C][C]641.150992496804[/C][C]-0.0709924968041378[/C][/ROW]
[ROW][C]48[/C][C]641.08[/C][C]641.194841073507[/C][C]-0.114841073507137[/C][/ROW]
[ROW][C]49[/C][C]641.08[/C][C]641.075377300325[/C][C]0.00462269967522388[/C][/ROW]
[ROW][C]50[/C][C]641.08[/C][C]641.193916370833[/C][C]-0.113916370832499[/C][/ROW]
[ROW][C]51[/C][C]641.08[/C][C]641.195365992082[/C][C]-0.115365992081593[/C][/ROW]
[ROW][C]52[/C][C]641.08[/C][C]640.829133719585[/C][C]0.250866280415266[/C][/ROW]
[ROW][C]53[/C][C]641.08[/C][C]640.458405043634[/C][C]0.621594956366039[/C][/ROW]
[ROW][C]54[/C][C]641.08[/C][C]640.453871380901[/C][C]0.626128619098722[/C][/ROW]
[ROW][C]55[/C][C]641.08[/C][C]643.017565938474[/C][C]-1.93756593847388[/C][/ROW]
[ROW][C]56[/C][C]641.08[/C][C]641.217667509656[/C][C]-0.137667509656012[/C][/ROW]
[ROW][C]57[/C][C]641.08[/C][C]641.195656446152[/C][C]-0.115656446152002[/C][/ROW]
[ROW][C]58[/C][C]668.21[/C][C]650.465387271565[/C][C]17.7446127284354[/C][/ROW]
[ROW][C]59[/C][C]668.21[/C][C]668.106972991787[/C][C]0.10302700821353[/C][/ROW]
[ROW][C]60[/C][C]668.21[/C][C]668.322712978769[/C][C]-0.112712978768855[/C][/ROW]
[ROW][C]61[/C][C]668.21[/C][C]668.205351275729[/C][C]0.00464872427073715[/C][/ROW]
[ROW][C]62[/C][C]668.21[/C][C]668.323916052576[/C][C]-0.113916052576087[/C][/ROW]
[ROW][C]63[/C][C]668.21[/C][C]668.32536598819[/C][C]-0.115365988189637[/C][/ROW]
[ROW][C]64[/C][C]668.21[/C][C]667.959133719537[/C][C]0.250866280462901[/C][/ROW]
[ROW][C]65[/C][C]668.21[/C][C]667.588405043633[/C][C]0.621594956366721[/C][/ROW]
[ROW][C]66[/C][C]668.21[/C][C]667.583871380901[/C][C]0.626128619098722[/C][/ROW]
[ROW][C]67[/C][C]668.21[/C][C]670.147565938474[/C][C]-1.93756593847388[/C][/ROW]
[ROW][C]68[/C][C]668.21[/C][C]668.347667509656[/C][C]-0.137667509656012[/C][/ROW]
[ROW][C]69[/C][C]668.21[/C][C]668.325656446152[/C][C]-0.115656446152002[/C][/ROW]
[ROW][C]70[/C][C]665.27[/C][C]677.595387271565[/C][C]-12.3253872715646[/C][/ROW]
[ROW][C]71[/C][C]665.27[/C][C]665.534700786297[/C][C]-0.264700786296657[/C][/ROW]
[ROW][C]72[/C][C]665.27[/C][C]665.387209943546[/C][C]-0.117209943546186[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160773&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160773&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
13599594.3475240384614.65247596153858
14599599.057077500557-0.0570775005567157
15599599.114670906202-0.114670906201695
16599598.7491252193390.25087478066132
17599598.3784049396840.621595060316054
18599598.373871379630.626128620369855
19599600.937565938458-1.93756593845831
20599599.137667509656-0.137667509655898
21599599.115656446152-0.115656446152002
22617.06608.3853872715658.67461272843536
23617.06617.067890554015-0.00789055401480709
24617.06617.174069396146-0.114069396145965
25617.06617.0553678634370.00463213656303196
26617.06617.173916255428-0.113916255428194
27617.06617.17536599067-0.115365990670284
28617.06616.8091337195670.250866280432547
29617.06616.4384050436340.621594956366266
30617.06616.4338713809010.626128619098722
31617.06618.997565938474-1.93756593847388
32617.06617.197667509656-0.137667509656012
33617.06617.175656446152-0.115656446152002
34628.18626.4453872715651.73461272843542
35628.18628.272760221255-0.0927602212547072
36628.18628.295107272287-0.115107272286878
37628.18628.1753805556850.00461944431481243
38628.18628.293916410642-0.113916410642446
39628.18628.295365992568-0.1153659925684
40628.18627.9291337195910.250866280409355
41628.18627.5584050436340.621594956366039
42628.18627.5538713809010.626128619098722
43628.18630.117565938474-1.93756593847388
44628.18628.317667509656-0.137667509656012
45628.18628.295656446152-0.115656446152002
46641.08637.5653872715653.51461272843551
47641.08641.150992496804-0.0709924968041378
48641.08641.194841073507-0.114841073507137
49641.08641.0753773003250.00462269967522388
50641.08641.193916370833-0.113916370832499
51641.08641.195365992082-0.115365992081593
52641.08640.8291337195850.250866280415266
53641.08640.4584050436340.621594956366039
54641.08640.4538713809010.626128619098722
55641.08643.017565938474-1.93756593847388
56641.08641.217667509656-0.137667509656012
57641.08641.195656446152-0.115656446152002
58668.21650.46538727156517.7446127284354
59668.21668.1069729917870.10302700821353
60668.21668.322712978769-0.112712978768855
61668.21668.2053512757290.00464872427073715
62668.21668.323916052576-0.113916052576087
63668.21668.32536598819-0.115365988189637
64668.21667.9591337195370.250866280462901
65668.21667.5884050436330.621594956366721
66668.21667.5838713809010.626128619098722
67668.21670.147565938474-1.93756593847388
68668.21668.347667509656-0.137667509656012
69668.21668.325656446152-0.115656446152002
70665.27677.595387271565-12.3253872715646
71665.27665.534700786297-0.264700786296657
72665.27665.387209943546-0.117209943546186







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73665.265406269375659.03223618477671.498576353981
74665.379379171473656.618079485139674.140678857808
75665.493352073571654.785021901041676.201682246101
76665.241074975669652.888897112067677.593252839271
77664.622547877767650.820944316434678.424151439101
78664.004020779865648.891369663851679.116671895879
79665.949243681963649.630537034544682.267950329382
80666.063216584061648.621652734031683.504780434091
81666.177189486159647.680808423237684.673570549081
82675.561162388257656.06695618962695.055368586893
83675.675135290355655.23174911768696.118521463029
84675.789108192453654.438698334671697.139518050234

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 665.265406269375 & 659.03223618477 & 671.498576353981 \tabularnewline
74 & 665.379379171473 & 656.618079485139 & 674.140678857808 \tabularnewline
75 & 665.493352073571 & 654.785021901041 & 676.201682246101 \tabularnewline
76 & 665.241074975669 & 652.888897112067 & 677.593252839271 \tabularnewline
77 & 664.622547877767 & 650.820944316434 & 678.424151439101 \tabularnewline
78 & 664.004020779865 & 648.891369663851 & 679.116671895879 \tabularnewline
79 & 665.949243681963 & 649.630537034544 & 682.267950329382 \tabularnewline
80 & 666.063216584061 & 648.621652734031 & 683.504780434091 \tabularnewline
81 & 666.177189486159 & 647.680808423237 & 684.673570549081 \tabularnewline
82 & 675.561162388257 & 656.06695618962 & 695.055368586893 \tabularnewline
83 & 675.675135290355 & 655.23174911768 & 696.118521463029 \tabularnewline
84 & 675.789108192453 & 654.438698334671 & 697.139518050234 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160773&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]665.265406269375[/C][C]659.03223618477[/C][C]671.498576353981[/C][/ROW]
[ROW][C]74[/C][C]665.379379171473[/C][C]656.618079485139[/C][C]674.140678857808[/C][/ROW]
[ROW][C]75[/C][C]665.493352073571[/C][C]654.785021901041[/C][C]676.201682246101[/C][/ROW]
[ROW][C]76[/C][C]665.241074975669[/C][C]652.888897112067[/C][C]677.593252839271[/C][/ROW]
[ROW][C]77[/C][C]664.622547877767[/C][C]650.820944316434[/C][C]678.424151439101[/C][/ROW]
[ROW][C]78[/C][C]664.004020779865[/C][C]648.891369663851[/C][C]679.116671895879[/C][/ROW]
[ROW][C]79[/C][C]665.949243681963[/C][C]649.630537034544[/C][C]682.267950329382[/C][/ROW]
[ROW][C]80[/C][C]666.063216584061[/C][C]648.621652734031[/C][C]683.504780434091[/C][/ROW]
[ROW][C]81[/C][C]666.177189486159[/C][C]647.680808423237[/C][C]684.673570549081[/C][/ROW]
[ROW][C]82[/C][C]675.561162388257[/C][C]656.06695618962[/C][C]695.055368586893[/C][/ROW]
[ROW][C]83[/C][C]675.675135290355[/C][C]655.23174911768[/C][C]696.118521463029[/C][/ROW]
[ROW][C]84[/C][C]675.789108192453[/C][C]654.438698334671[/C][C]697.139518050234[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160773&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160773&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
73665.265406269375659.03223618477671.498576353981
74665.379379171473656.618079485139674.140678857808
75665.493352073571654.785021901041676.201682246101
76665.241074975669652.888897112067677.593252839271
77664.622547877767650.820944316434678.424151439101
78664.004020779865648.891369663851679.116671895879
79665.949243681963649.630537034544682.267950329382
80666.063216584061648.621652734031683.504780434091
81666.177189486159647.680808423237684.673570549081
82675.561162388257656.06695618962695.055368586893
83675.675135290355655.23174911768696.118521463029
84675.789108192453654.438698334671697.139518050234



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')