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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 computationThu, 16 May 2013 04:22:07 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/May/16/t1368692584curpsb00rp4qevw.htm/, Retrieved Mon, 29 Apr 2024 06:08:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=208980, Retrieved Mon, 29 Apr 2024 06:08:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [eigen cijfers tri...] [2013-05-16 08:22:07] [5f178b5bce8a01d64692a8a5c649399b] [Current]
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Dataseries X:
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
665,27
665,27
665,27
665,27
665,27
665,27
665,27
665,27
665,27
674,3
674,3
674,3




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208980&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]3 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=208980&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208980&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.926648196365542
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.926648196365542 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208980&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]0.926648196365542[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208980&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208980&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
alpha0.926648196365542
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13617.06608.0911698717958.96883012820513
14617.06616.312134702370.747865297630256
15617.06616.9151573003080.144842699692163
16617.06617.248556762166-0.188556762165604
17617.06617.56217888069-0.50217888069028
18617.06617.585183628744-0.525183628743775
19617.06615.5627044018391.49729559816114
20617.06616.8601852360650.199814763934455
21617.06616.9553577954370.104642204562765
22628.18635.022338874324-6.84233887432356
23628.18628.591912466274-0.41191246627443
24628.18628.1202290911050.0597709088946203
25628.18628.743510131187-0.563510131187172
26628.18627.5283264553150.651673544684627
27628.18627.997980343690.18201965630999
28628.18628.341374313486-0.161374313486021
29628.18628.657180250999-0.477180250998913
30628.18628.701662494406-0.521662494405632
31628.18626.8307986193911.34920138060897
32628.18627.8958756546590.284124345340842
33628.18628.0621924566910.117807543309027
34641.08645.63179958103-4.5517995810302
35641.08641.795580652985-0.715580652984841
36641.08641.077102526620.00289747338001689
37641.08641.6019631118-0.521963111799892
38641.08640.514414820880.565585179119921
39641.08640.869845120780.210154879220113
40641.08641.214121977098-0.134121977098175
41641.08641.532016307857-0.452016307856525
42641.08641.596553821006-0.516553821006028
43641.08639.867655128571.2123448714301
44641.08640.72778900490.352210995099995
45641.08640.9449985407240.135001459276054
46668.21658.18801427144810.0219857285521
47668.21668.1379607922540.0720392077455472
48668.21668.2020308556980.00796914430213747
49668.21668.693091625011-0.483091625010729
50668.21667.7213371558930.488662844107239
51668.21667.9794160592290.230583940771112
52668.21668.317370140226-0.107370140226294
53668.21668.636735889845-0.426735889845077
54668.21668.719965513757-0.509965513756583
55668.21667.1239897017421.08601029825832
56668.21667.8039635025080.406036497492323
57668.21668.0551176318230.154882368177368
58665.27686.041784099579-20.7717840995791
59665.27666.726892826485-1.4568928264847
60665.27665.369481123331-0.0994811233306336
61665.27665.724953102819-0.454953102819331
62665.27664.8505530875380.419446912461922
63665.27665.0255626196160.244437380384397
64665.27665.351564424057-0.0815644240573192
65665.27665.671416940266-0.401416940266472
66665.27665.772003280109-0.502003280109193
67665.27664.3004733619110.969526638089064
68665.27664.8226304843650.447369515635273
69665.27665.0936631720170.176336827983391
70674.3681.56520164679-7.26520164678959
71674.3676.18294275452-1.88294275451995
72674.3674.530301250691-0.230301250691241

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 617.06 & 608.091169871795 & 8.96883012820513 \tabularnewline
14 & 617.06 & 616.31213470237 & 0.747865297630256 \tabularnewline
15 & 617.06 & 616.915157300308 & 0.144842699692163 \tabularnewline
16 & 617.06 & 617.248556762166 & -0.188556762165604 \tabularnewline
17 & 617.06 & 617.56217888069 & -0.50217888069028 \tabularnewline
18 & 617.06 & 617.585183628744 & -0.525183628743775 \tabularnewline
19 & 617.06 & 615.562704401839 & 1.49729559816114 \tabularnewline
20 & 617.06 & 616.860185236065 & 0.199814763934455 \tabularnewline
21 & 617.06 & 616.955357795437 & 0.104642204562765 \tabularnewline
22 & 628.18 & 635.022338874324 & -6.84233887432356 \tabularnewline
23 & 628.18 & 628.591912466274 & -0.41191246627443 \tabularnewline
24 & 628.18 & 628.120229091105 & 0.0597709088946203 \tabularnewline
25 & 628.18 & 628.743510131187 & -0.563510131187172 \tabularnewline
26 & 628.18 & 627.528326455315 & 0.651673544684627 \tabularnewline
27 & 628.18 & 627.99798034369 & 0.18201965630999 \tabularnewline
28 & 628.18 & 628.341374313486 & -0.161374313486021 \tabularnewline
29 & 628.18 & 628.657180250999 & -0.477180250998913 \tabularnewline
30 & 628.18 & 628.701662494406 & -0.521662494405632 \tabularnewline
31 & 628.18 & 626.830798619391 & 1.34920138060897 \tabularnewline
32 & 628.18 & 627.895875654659 & 0.284124345340842 \tabularnewline
33 & 628.18 & 628.062192456691 & 0.117807543309027 \tabularnewline
34 & 641.08 & 645.63179958103 & -4.5517995810302 \tabularnewline
35 & 641.08 & 641.795580652985 & -0.715580652984841 \tabularnewline
36 & 641.08 & 641.07710252662 & 0.00289747338001689 \tabularnewline
37 & 641.08 & 641.6019631118 & -0.521963111799892 \tabularnewline
38 & 641.08 & 640.51441482088 & 0.565585179119921 \tabularnewline
39 & 641.08 & 640.86984512078 & 0.210154879220113 \tabularnewline
40 & 641.08 & 641.214121977098 & -0.134121977098175 \tabularnewline
41 & 641.08 & 641.532016307857 & -0.452016307856525 \tabularnewline
42 & 641.08 & 641.596553821006 & -0.516553821006028 \tabularnewline
43 & 641.08 & 639.86765512857 & 1.2123448714301 \tabularnewline
44 & 641.08 & 640.7277890049 & 0.352210995099995 \tabularnewline
45 & 641.08 & 640.944998540724 & 0.135001459276054 \tabularnewline
46 & 668.21 & 658.188014271448 & 10.0219857285521 \tabularnewline
47 & 668.21 & 668.137960792254 & 0.0720392077455472 \tabularnewline
48 & 668.21 & 668.202030855698 & 0.00796914430213747 \tabularnewline
49 & 668.21 & 668.693091625011 & -0.483091625010729 \tabularnewline
50 & 668.21 & 667.721337155893 & 0.488662844107239 \tabularnewline
51 & 668.21 & 667.979416059229 & 0.230583940771112 \tabularnewline
52 & 668.21 & 668.317370140226 & -0.107370140226294 \tabularnewline
53 & 668.21 & 668.636735889845 & -0.426735889845077 \tabularnewline
54 & 668.21 & 668.719965513757 & -0.509965513756583 \tabularnewline
55 & 668.21 & 667.123989701742 & 1.08601029825832 \tabularnewline
56 & 668.21 & 667.803963502508 & 0.406036497492323 \tabularnewline
57 & 668.21 & 668.055117631823 & 0.154882368177368 \tabularnewline
58 & 665.27 & 686.041784099579 & -20.7717840995791 \tabularnewline
59 & 665.27 & 666.726892826485 & -1.4568928264847 \tabularnewline
60 & 665.27 & 665.369481123331 & -0.0994811233306336 \tabularnewline
61 & 665.27 & 665.724953102819 & -0.454953102819331 \tabularnewline
62 & 665.27 & 664.850553087538 & 0.419446912461922 \tabularnewline
63 & 665.27 & 665.025562619616 & 0.244437380384397 \tabularnewline
64 & 665.27 & 665.351564424057 & -0.0815644240573192 \tabularnewline
65 & 665.27 & 665.671416940266 & -0.401416940266472 \tabularnewline
66 & 665.27 & 665.772003280109 & -0.502003280109193 \tabularnewline
67 & 665.27 & 664.300473361911 & 0.969526638089064 \tabularnewline
68 & 665.27 & 664.822630484365 & 0.447369515635273 \tabularnewline
69 & 665.27 & 665.093663172017 & 0.176336827983391 \tabularnewline
70 & 674.3 & 681.56520164679 & -7.26520164678959 \tabularnewline
71 & 674.3 & 676.18294275452 & -1.88294275451995 \tabularnewline
72 & 674.3 & 674.530301250691 & -0.230301250691241 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208980&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]617.06[/C][C]608.091169871795[/C][C]8.96883012820513[/C][/ROW]
[ROW][C]14[/C][C]617.06[/C][C]616.31213470237[/C][C]0.747865297630256[/C][/ROW]
[ROW][C]15[/C][C]617.06[/C][C]616.915157300308[/C][C]0.144842699692163[/C][/ROW]
[ROW][C]16[/C][C]617.06[/C][C]617.248556762166[/C][C]-0.188556762165604[/C][/ROW]
[ROW][C]17[/C][C]617.06[/C][C]617.56217888069[/C][C]-0.50217888069028[/C][/ROW]
[ROW][C]18[/C][C]617.06[/C][C]617.585183628744[/C][C]-0.525183628743775[/C][/ROW]
[ROW][C]19[/C][C]617.06[/C][C]615.562704401839[/C][C]1.49729559816114[/C][/ROW]
[ROW][C]20[/C][C]617.06[/C][C]616.860185236065[/C][C]0.199814763934455[/C][/ROW]
[ROW][C]21[/C][C]617.06[/C][C]616.955357795437[/C][C]0.104642204562765[/C][/ROW]
[ROW][C]22[/C][C]628.18[/C][C]635.022338874324[/C][C]-6.84233887432356[/C][/ROW]
[ROW][C]23[/C][C]628.18[/C][C]628.591912466274[/C][C]-0.41191246627443[/C][/ROW]
[ROW][C]24[/C][C]628.18[/C][C]628.120229091105[/C][C]0.0597709088946203[/C][/ROW]
[ROW][C]25[/C][C]628.18[/C][C]628.743510131187[/C][C]-0.563510131187172[/C][/ROW]
[ROW][C]26[/C][C]628.18[/C][C]627.528326455315[/C][C]0.651673544684627[/C][/ROW]
[ROW][C]27[/C][C]628.18[/C][C]627.99798034369[/C][C]0.18201965630999[/C][/ROW]
[ROW][C]28[/C][C]628.18[/C][C]628.341374313486[/C][C]-0.161374313486021[/C][/ROW]
[ROW][C]29[/C][C]628.18[/C][C]628.657180250999[/C][C]-0.477180250998913[/C][/ROW]
[ROW][C]30[/C][C]628.18[/C][C]628.701662494406[/C][C]-0.521662494405632[/C][/ROW]
[ROW][C]31[/C][C]628.18[/C][C]626.830798619391[/C][C]1.34920138060897[/C][/ROW]
[ROW][C]32[/C][C]628.18[/C][C]627.895875654659[/C][C]0.284124345340842[/C][/ROW]
[ROW][C]33[/C][C]628.18[/C][C]628.062192456691[/C][C]0.117807543309027[/C][/ROW]
[ROW][C]34[/C][C]641.08[/C][C]645.63179958103[/C][C]-4.5517995810302[/C][/ROW]
[ROW][C]35[/C][C]641.08[/C][C]641.795580652985[/C][C]-0.715580652984841[/C][/ROW]
[ROW][C]36[/C][C]641.08[/C][C]641.07710252662[/C][C]0.00289747338001689[/C][/ROW]
[ROW][C]37[/C][C]641.08[/C][C]641.6019631118[/C][C]-0.521963111799892[/C][/ROW]
[ROW][C]38[/C][C]641.08[/C][C]640.51441482088[/C][C]0.565585179119921[/C][/ROW]
[ROW][C]39[/C][C]641.08[/C][C]640.86984512078[/C][C]0.210154879220113[/C][/ROW]
[ROW][C]40[/C][C]641.08[/C][C]641.214121977098[/C][C]-0.134121977098175[/C][/ROW]
[ROW][C]41[/C][C]641.08[/C][C]641.532016307857[/C][C]-0.452016307856525[/C][/ROW]
[ROW][C]42[/C][C]641.08[/C][C]641.596553821006[/C][C]-0.516553821006028[/C][/ROW]
[ROW][C]43[/C][C]641.08[/C][C]639.86765512857[/C][C]1.2123448714301[/C][/ROW]
[ROW][C]44[/C][C]641.08[/C][C]640.7277890049[/C][C]0.352210995099995[/C][/ROW]
[ROW][C]45[/C][C]641.08[/C][C]640.944998540724[/C][C]0.135001459276054[/C][/ROW]
[ROW][C]46[/C][C]668.21[/C][C]658.188014271448[/C][C]10.0219857285521[/C][/ROW]
[ROW][C]47[/C][C]668.21[/C][C]668.137960792254[/C][C]0.0720392077455472[/C][/ROW]
[ROW][C]48[/C][C]668.21[/C][C]668.202030855698[/C][C]0.00796914430213747[/C][/ROW]
[ROW][C]49[/C][C]668.21[/C][C]668.693091625011[/C][C]-0.483091625010729[/C][/ROW]
[ROW][C]50[/C][C]668.21[/C][C]667.721337155893[/C][C]0.488662844107239[/C][/ROW]
[ROW][C]51[/C][C]668.21[/C][C]667.979416059229[/C][C]0.230583940771112[/C][/ROW]
[ROW][C]52[/C][C]668.21[/C][C]668.317370140226[/C][C]-0.107370140226294[/C][/ROW]
[ROW][C]53[/C][C]668.21[/C][C]668.636735889845[/C][C]-0.426735889845077[/C][/ROW]
[ROW][C]54[/C][C]668.21[/C][C]668.719965513757[/C][C]-0.509965513756583[/C][/ROW]
[ROW][C]55[/C][C]668.21[/C][C]667.123989701742[/C][C]1.08601029825832[/C][/ROW]
[ROW][C]56[/C][C]668.21[/C][C]667.803963502508[/C][C]0.406036497492323[/C][/ROW]
[ROW][C]57[/C][C]668.21[/C][C]668.055117631823[/C][C]0.154882368177368[/C][/ROW]
[ROW][C]58[/C][C]665.27[/C][C]686.041784099579[/C][C]-20.7717840995791[/C][/ROW]
[ROW][C]59[/C][C]665.27[/C][C]666.726892826485[/C][C]-1.4568928264847[/C][/ROW]
[ROW][C]60[/C][C]665.27[/C][C]665.369481123331[/C][C]-0.0994811233306336[/C][/ROW]
[ROW][C]61[/C][C]665.27[/C][C]665.724953102819[/C][C]-0.454953102819331[/C][/ROW]
[ROW][C]62[/C][C]665.27[/C][C]664.850553087538[/C][C]0.419446912461922[/C][/ROW]
[ROW][C]63[/C][C]665.27[/C][C]665.025562619616[/C][C]0.244437380384397[/C][/ROW]
[ROW][C]64[/C][C]665.27[/C][C]665.351564424057[/C][C]-0.0815644240573192[/C][/ROW]
[ROW][C]65[/C][C]665.27[/C][C]665.671416940266[/C][C]-0.401416940266472[/C][/ROW]
[ROW][C]66[/C][C]665.27[/C][C]665.772003280109[/C][C]-0.502003280109193[/C][/ROW]
[ROW][C]67[/C][C]665.27[/C][C]664.300473361911[/C][C]0.969526638089064[/C][/ROW]
[ROW][C]68[/C][C]665.27[/C][C]664.822630484365[/C][C]0.447369515635273[/C][/ROW]
[ROW][C]69[/C][C]665.27[/C][C]665.093663172017[/C][C]0.176336827983391[/C][/ROW]
[ROW][C]70[/C][C]674.3[/C][C]681.56520164679[/C][C]-7.26520164678959[/C][/ROW]
[ROW][C]71[/C][C]674.3[/C][C]676.18294275452[/C][C]-1.88294275451995[/C][/ROW]
[ROW][C]72[/C][C]674.3[/C][C]674.530301250691[/C][C]-0.230301250691241[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208980&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208980&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
13617.06608.0911698717958.96883012820513
14617.06616.312134702370.747865297630256
15617.06616.9151573003080.144842699692163
16617.06617.248556762166-0.188556762165604
17617.06617.56217888069-0.50217888069028
18617.06617.585183628744-0.525183628743775
19617.06615.5627044018391.49729559816114
20617.06616.8601852360650.199814763934455
21617.06616.9553577954370.104642204562765
22628.18635.022338874324-6.84233887432356
23628.18628.591912466274-0.41191246627443
24628.18628.1202290911050.0597709088946203
25628.18628.743510131187-0.563510131187172
26628.18627.5283264553150.651673544684627
27628.18627.997980343690.18201965630999
28628.18628.341374313486-0.161374313486021
29628.18628.657180250999-0.477180250998913
30628.18628.701662494406-0.521662494405632
31628.18626.8307986193911.34920138060897
32628.18627.8958756546590.284124345340842
33628.18628.0621924566910.117807543309027
34641.08645.63179958103-4.5517995810302
35641.08641.795580652985-0.715580652984841
36641.08641.077102526620.00289747338001689
37641.08641.6019631118-0.521963111799892
38641.08640.514414820880.565585179119921
39641.08640.869845120780.210154879220113
40641.08641.214121977098-0.134121977098175
41641.08641.532016307857-0.452016307856525
42641.08641.596553821006-0.516553821006028
43641.08639.867655128571.2123448714301
44641.08640.72778900490.352210995099995
45641.08640.9449985407240.135001459276054
46668.21658.18801427144810.0219857285521
47668.21668.1379607922540.0720392077455472
48668.21668.2020308556980.00796914430213747
49668.21668.693091625011-0.483091625010729
50668.21667.7213371558930.488662844107239
51668.21667.9794160592290.230583940771112
52668.21668.317370140226-0.107370140226294
53668.21668.636735889845-0.426735889845077
54668.21668.719965513757-0.509965513756583
55668.21667.1239897017421.08601029825832
56668.21667.8039635025080.406036497492323
57668.21668.0551176318230.154882368177368
58665.27686.041784099579-20.7717840995791
59665.27666.726892826485-1.4568928264847
60665.27665.369481123331-0.0994811233306336
61665.27665.724953102819-0.454953102819331
62665.27664.8505530875380.419446912461922
63665.27665.0255626196160.244437380384397
64665.27665.351564424057-0.0815644240573192
65665.27665.671416940266-0.401416940266472
66665.27665.772003280109-0.502003280109193
67665.27664.3004733619110.969526638089064
68665.27664.8226304843650.447369515635273
69665.27665.0936631720170.176336827983391
70674.3681.56520164679-7.26520164678959
71674.3676.18294275452-1.88294275451995
72674.3674.530301250691-0.230301250691241







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73674.738474484276667.769013043366681.707935925186
74674.349794759372664.848097956792683.851491561952
75674.123287301714662.634549708751685.612024894678
76674.198868828155661.019341490962687.378396165347
77674.570841111843659.894029803401689.247652420285
78675.036021545926659.001133347518691.070909744334
79674.137611435412656.851012901078691.424209969747
80673.72305728064655.269457679503692.176656881777
81673.559655077036654.008588927312693.110721226761
82689.321941079266668.73182119271709.912060965821
83691.066766586601669.487566270219712.645966902983
84691.280174825175668.755283357149713.805066293201

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 674.738474484276 & 667.769013043366 & 681.707935925186 \tabularnewline
74 & 674.349794759372 & 664.848097956792 & 683.851491561952 \tabularnewline
75 & 674.123287301714 & 662.634549708751 & 685.612024894678 \tabularnewline
76 & 674.198868828155 & 661.019341490962 & 687.378396165347 \tabularnewline
77 & 674.570841111843 & 659.894029803401 & 689.247652420285 \tabularnewline
78 & 675.036021545926 & 659.001133347518 & 691.070909744334 \tabularnewline
79 & 674.137611435412 & 656.851012901078 & 691.424209969747 \tabularnewline
80 & 673.72305728064 & 655.269457679503 & 692.176656881777 \tabularnewline
81 & 673.559655077036 & 654.008588927312 & 693.110721226761 \tabularnewline
82 & 689.321941079266 & 668.73182119271 & 709.912060965821 \tabularnewline
83 & 691.066766586601 & 669.487566270219 & 712.645966902983 \tabularnewline
84 & 691.280174825175 & 668.755283357149 & 713.805066293201 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=208980&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]674.738474484276[/C][C]667.769013043366[/C][C]681.707935925186[/C][/ROW]
[ROW][C]74[/C][C]674.349794759372[/C][C]664.848097956792[/C][C]683.851491561952[/C][/ROW]
[ROW][C]75[/C][C]674.123287301714[/C][C]662.634549708751[/C][C]685.612024894678[/C][/ROW]
[ROW][C]76[/C][C]674.198868828155[/C][C]661.019341490962[/C][C]687.378396165347[/C][/ROW]
[ROW][C]77[/C][C]674.570841111843[/C][C]659.894029803401[/C][C]689.247652420285[/C][/ROW]
[ROW][C]78[/C][C]675.036021545926[/C][C]659.001133347518[/C][C]691.070909744334[/C][/ROW]
[ROW][C]79[/C][C]674.137611435412[/C][C]656.851012901078[/C][C]691.424209969747[/C][/ROW]
[ROW][C]80[/C][C]673.72305728064[/C][C]655.269457679503[/C][C]692.176656881777[/C][/ROW]
[ROW][C]81[/C][C]673.559655077036[/C][C]654.008588927312[/C][C]693.110721226761[/C][/ROW]
[ROW][C]82[/C][C]689.321941079266[/C][C]668.73182119271[/C][C]709.912060965821[/C][/ROW]
[ROW][C]83[/C][C]691.066766586601[/C][C]669.487566270219[/C][C]712.645966902983[/C][/ROW]
[ROW][C]84[/C][C]691.280174825175[/C][C]668.755283357149[/C][C]713.805066293201[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=208980&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=208980&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
73674.738474484276667.769013043366681.707935925186
74674.349794759372664.848097956792683.851491561952
75674.123287301714662.634549708751685.612024894678
76674.198868828155661.019341490962687.378396165347
77674.570841111843659.894029803401689.247652420285
78675.036021545926659.001133347518691.070909744334
79674.137611435412656.851012901078691.424209969747
80673.72305728064655.269457679503692.176656881777
81673.559655077036654.008588927312693.110721226761
82689.321941079266668.73182119271709.912060965821
83691.066766586601669.487566270219712.645966902983
84691.280174825175668.755283357149713.805066293201



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')