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Author's title

Exponential Smoothing - Omzetcijfers Carrefour Burcht - Jeroen Van Eeckhove...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 02 Jun 2009 09:04:55 -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/2009/Jun/02/t12439551843430551rrilgdgp.htm/, Retrieved Fri, 10 May 2024 19:39:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41257, Retrieved Fri, 10 May 2024 19:39:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2009-06-02 15:04:55] [751eeebd45dfb39bfd78c701631ea18c] [Current]
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Dataseries X:
2291180
1971664
2193270
2197733
2345324
2195121
2170583
2241521
2154945
2912568
2392562
3336621
4080642
3735329
4018383
4171360
3855698
4101316
4199346
3959646
3960841
4784025
4105467
5929558
4048642
3828808
4268127
4171816
4004783
4295447
3968177
3918480
4040260
4530715
4103330
6025506
4632308
4133863
4519182
4151573
4486595
4504699
4180443
4222193
4373727
4734738
4403232
5903985
4414074
4061816
4504697
3994176
4114925
4485120
4171230
4476075
4179369
4823185
4585751
6110454
4279575
3782118
4098678
4065616
4413733
4481214
4345018
4294488
4361269
4535031
4318397
6040168




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41257&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41257&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41257&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.538050873276852
beta0.0438182063827687
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.538050873276852 \tabularnewline
beta & 0.0438182063827687 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41257&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]0.538050873276852[/C][/ROW]
[ROW][C]beta[/C][C]0.0438182063827687[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41257&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41257&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
alpha0.538050873276852
beta0.0438182063827687
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1340806423176369.41212607904272.587873931
1437353293335539.4904987399789.509501302
1540183833870350.74007012148032.25992988
1641713604136728.0196793534631.9803206502
1738556983878142.30307426-22444.3030742551
1841013164119535.8192681-18219.8192680990
1941993464058108.47280823141237.527191766
2039596464247154.58338358-287508.583383575
2139608414039735.59209069-78894.5920906914
2247840254778152.071953075872.92804693151
2341054674297801.37769399-192334.377693994
2459295585173145.17927921756412.820720788
2540486426772887.1396508-2724245.13965080
2638288084703358.88601399-874550.886013987
2742681274362841.05907513-94714.0590751283
2841718164367130.14716556-195314.147165559
2940047833873940.90668424130842.093315756
3042954474118861.27412441176585.725875588
3139681774159602.69666782-191425.696667817
3239184803887449.4618603331030.5381396674
3340402603871149.0717204169110.928279602
3445307154711369.80119669-180654.801196693
3541033303963904.7315582139425.268441805
3660255065388655.47043412636850.529565884
3746323085245991.50930802-613683.509308024
3841338635146088.50435656-1012225.50435656
3945191825068064.86997888-548882.869978877
4041515734747133.43335462-595560.433354619
4144865954145440.0667464341154.933253599
4245046994485790.2444390218908.7555609755
4341804434229112.99294911-48669.9929491067
4442221934097320.83443356124872.165566443
4543737274158298.36137719215428.638622811
4647347384825958.63990418-91220.6399041796
4744032324240675.18306797162556.816932035
4859039855874403.1715625129581.8284374904
4944140744779743.55854506-365669.558545060
5040618164587454.74218423-525638.742184228
5145046974955028.43373544-450331.433735436
5239941764637631.68256575-643455.682565747
5341149254413825.54093354-298900.540933545
5444851204216784.21208906268335.787910937
5541712304024826.28750856146403.712491442
5644760754044493.33376011431581.666239887
5741793694285891.75095349-106522.750953489
5848231854604642.06612746218542.933872543
5945857514276535.19204577309215.807954230
6061104545904478.94031623205975.059683773
6142795754703033.98939944-423458.989399437
6237821184385283.58952102-603165.589521022
6340986784723633.92759812-624955.92759812
6440656164196651.60483322-131035.604833215
6544137334393386.3813400920346.6186599061
6644812144623343.19976922-142129.199769218
6743450184137723.12519333207294.874806668
6842944884306841.32790667-12353.3279066654
6943612694035287.77517791325981.224822092
7045350314721592.44561686-186561.445616863
7143183974192535.55285227125861.447147725
7260401685644941.00494496395226.995055038

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 4080642 & 3176369.41212607 & 904272.587873931 \tabularnewline
14 & 3735329 & 3335539.4904987 & 399789.509501302 \tabularnewline
15 & 4018383 & 3870350.74007012 & 148032.25992988 \tabularnewline
16 & 4171360 & 4136728.01967935 & 34631.9803206502 \tabularnewline
17 & 3855698 & 3878142.30307426 & -22444.3030742551 \tabularnewline
18 & 4101316 & 4119535.8192681 & -18219.8192680990 \tabularnewline
19 & 4199346 & 4058108.47280823 & 141237.527191766 \tabularnewline
20 & 3959646 & 4247154.58338358 & -287508.583383575 \tabularnewline
21 & 3960841 & 4039735.59209069 & -78894.5920906914 \tabularnewline
22 & 4784025 & 4778152.07195307 & 5872.92804693151 \tabularnewline
23 & 4105467 & 4297801.37769399 & -192334.377693994 \tabularnewline
24 & 5929558 & 5173145.17927921 & 756412.820720788 \tabularnewline
25 & 4048642 & 6772887.1396508 & -2724245.13965080 \tabularnewline
26 & 3828808 & 4703358.88601399 & -874550.886013987 \tabularnewline
27 & 4268127 & 4362841.05907513 & -94714.0590751283 \tabularnewline
28 & 4171816 & 4367130.14716556 & -195314.147165559 \tabularnewline
29 & 4004783 & 3873940.90668424 & 130842.093315756 \tabularnewline
30 & 4295447 & 4118861.27412441 & 176585.725875588 \tabularnewline
31 & 3968177 & 4159602.69666782 & -191425.696667817 \tabularnewline
32 & 3918480 & 3887449.46186033 & 31030.5381396674 \tabularnewline
33 & 4040260 & 3871149.0717204 & 169110.928279602 \tabularnewline
34 & 4530715 & 4711369.80119669 & -180654.801196693 \tabularnewline
35 & 4103330 & 3963904.7315582 & 139425.268441805 \tabularnewline
36 & 6025506 & 5388655.47043412 & 636850.529565884 \tabularnewline
37 & 4632308 & 5245991.50930802 & -613683.509308024 \tabularnewline
38 & 4133863 & 5146088.50435656 & -1012225.50435656 \tabularnewline
39 & 4519182 & 5068064.86997888 & -548882.869978877 \tabularnewline
40 & 4151573 & 4747133.43335462 & -595560.433354619 \tabularnewline
41 & 4486595 & 4145440.0667464 & 341154.933253599 \tabularnewline
42 & 4504699 & 4485790.24443902 & 18908.7555609755 \tabularnewline
43 & 4180443 & 4229112.99294911 & -48669.9929491067 \tabularnewline
44 & 4222193 & 4097320.83443356 & 124872.165566443 \tabularnewline
45 & 4373727 & 4158298.36137719 & 215428.638622811 \tabularnewline
46 & 4734738 & 4825958.63990418 & -91220.6399041796 \tabularnewline
47 & 4403232 & 4240675.18306797 & 162556.816932035 \tabularnewline
48 & 5903985 & 5874403.17156251 & 29581.8284374904 \tabularnewline
49 & 4414074 & 4779743.55854506 & -365669.558545060 \tabularnewline
50 & 4061816 & 4587454.74218423 & -525638.742184228 \tabularnewline
51 & 4504697 & 4955028.43373544 & -450331.433735436 \tabularnewline
52 & 3994176 & 4637631.68256575 & -643455.682565747 \tabularnewline
53 & 4114925 & 4413825.54093354 & -298900.540933545 \tabularnewline
54 & 4485120 & 4216784.21208906 & 268335.787910937 \tabularnewline
55 & 4171230 & 4024826.28750856 & 146403.712491442 \tabularnewline
56 & 4476075 & 4044493.33376011 & 431581.666239887 \tabularnewline
57 & 4179369 & 4285891.75095349 & -106522.750953489 \tabularnewline
58 & 4823185 & 4604642.06612746 & 218542.933872543 \tabularnewline
59 & 4585751 & 4276535.19204577 & 309215.807954230 \tabularnewline
60 & 6110454 & 5904478.94031623 & 205975.059683773 \tabularnewline
61 & 4279575 & 4703033.98939944 & -423458.989399437 \tabularnewline
62 & 3782118 & 4385283.58952102 & -603165.589521022 \tabularnewline
63 & 4098678 & 4723633.92759812 & -624955.92759812 \tabularnewline
64 & 4065616 & 4196651.60483322 & -131035.604833215 \tabularnewline
65 & 4413733 & 4393386.38134009 & 20346.6186599061 \tabularnewline
66 & 4481214 & 4623343.19976922 & -142129.199769218 \tabularnewline
67 & 4345018 & 4137723.12519333 & 207294.874806668 \tabularnewline
68 & 4294488 & 4306841.32790667 & -12353.3279066654 \tabularnewline
69 & 4361269 & 4035287.77517791 & 325981.224822092 \tabularnewline
70 & 4535031 & 4721592.44561686 & -186561.445616863 \tabularnewline
71 & 4318397 & 4192535.55285227 & 125861.447147725 \tabularnewline
72 & 6040168 & 5644941.00494496 & 395226.995055038 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41257&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]4080642[/C][C]3176369.41212607[/C][C]904272.587873931[/C][/ROW]
[ROW][C]14[/C][C]3735329[/C][C]3335539.4904987[/C][C]399789.509501302[/C][/ROW]
[ROW][C]15[/C][C]4018383[/C][C]3870350.74007012[/C][C]148032.25992988[/C][/ROW]
[ROW][C]16[/C][C]4171360[/C][C]4136728.01967935[/C][C]34631.9803206502[/C][/ROW]
[ROW][C]17[/C][C]3855698[/C][C]3878142.30307426[/C][C]-22444.3030742551[/C][/ROW]
[ROW][C]18[/C][C]4101316[/C][C]4119535.8192681[/C][C]-18219.8192680990[/C][/ROW]
[ROW][C]19[/C][C]4199346[/C][C]4058108.47280823[/C][C]141237.527191766[/C][/ROW]
[ROW][C]20[/C][C]3959646[/C][C]4247154.58338358[/C][C]-287508.583383575[/C][/ROW]
[ROW][C]21[/C][C]3960841[/C][C]4039735.59209069[/C][C]-78894.5920906914[/C][/ROW]
[ROW][C]22[/C][C]4784025[/C][C]4778152.07195307[/C][C]5872.92804693151[/C][/ROW]
[ROW][C]23[/C][C]4105467[/C][C]4297801.37769399[/C][C]-192334.377693994[/C][/ROW]
[ROW][C]24[/C][C]5929558[/C][C]5173145.17927921[/C][C]756412.820720788[/C][/ROW]
[ROW][C]25[/C][C]4048642[/C][C]6772887.1396508[/C][C]-2724245.13965080[/C][/ROW]
[ROW][C]26[/C][C]3828808[/C][C]4703358.88601399[/C][C]-874550.886013987[/C][/ROW]
[ROW][C]27[/C][C]4268127[/C][C]4362841.05907513[/C][C]-94714.0590751283[/C][/ROW]
[ROW][C]28[/C][C]4171816[/C][C]4367130.14716556[/C][C]-195314.147165559[/C][/ROW]
[ROW][C]29[/C][C]4004783[/C][C]3873940.90668424[/C][C]130842.093315756[/C][/ROW]
[ROW][C]30[/C][C]4295447[/C][C]4118861.27412441[/C][C]176585.725875588[/C][/ROW]
[ROW][C]31[/C][C]3968177[/C][C]4159602.69666782[/C][C]-191425.696667817[/C][/ROW]
[ROW][C]32[/C][C]3918480[/C][C]3887449.46186033[/C][C]31030.5381396674[/C][/ROW]
[ROW][C]33[/C][C]4040260[/C][C]3871149.0717204[/C][C]169110.928279602[/C][/ROW]
[ROW][C]34[/C][C]4530715[/C][C]4711369.80119669[/C][C]-180654.801196693[/C][/ROW]
[ROW][C]35[/C][C]4103330[/C][C]3963904.7315582[/C][C]139425.268441805[/C][/ROW]
[ROW][C]36[/C][C]6025506[/C][C]5388655.47043412[/C][C]636850.529565884[/C][/ROW]
[ROW][C]37[/C][C]4632308[/C][C]5245991.50930802[/C][C]-613683.509308024[/C][/ROW]
[ROW][C]38[/C][C]4133863[/C][C]5146088.50435656[/C][C]-1012225.50435656[/C][/ROW]
[ROW][C]39[/C][C]4519182[/C][C]5068064.86997888[/C][C]-548882.869978877[/C][/ROW]
[ROW][C]40[/C][C]4151573[/C][C]4747133.43335462[/C][C]-595560.433354619[/C][/ROW]
[ROW][C]41[/C][C]4486595[/C][C]4145440.0667464[/C][C]341154.933253599[/C][/ROW]
[ROW][C]42[/C][C]4504699[/C][C]4485790.24443902[/C][C]18908.7555609755[/C][/ROW]
[ROW][C]43[/C][C]4180443[/C][C]4229112.99294911[/C][C]-48669.9929491067[/C][/ROW]
[ROW][C]44[/C][C]4222193[/C][C]4097320.83443356[/C][C]124872.165566443[/C][/ROW]
[ROW][C]45[/C][C]4373727[/C][C]4158298.36137719[/C][C]215428.638622811[/C][/ROW]
[ROW][C]46[/C][C]4734738[/C][C]4825958.63990418[/C][C]-91220.6399041796[/C][/ROW]
[ROW][C]47[/C][C]4403232[/C][C]4240675.18306797[/C][C]162556.816932035[/C][/ROW]
[ROW][C]48[/C][C]5903985[/C][C]5874403.17156251[/C][C]29581.8284374904[/C][/ROW]
[ROW][C]49[/C][C]4414074[/C][C]4779743.55854506[/C][C]-365669.558545060[/C][/ROW]
[ROW][C]50[/C][C]4061816[/C][C]4587454.74218423[/C][C]-525638.742184228[/C][/ROW]
[ROW][C]51[/C][C]4504697[/C][C]4955028.43373544[/C][C]-450331.433735436[/C][/ROW]
[ROW][C]52[/C][C]3994176[/C][C]4637631.68256575[/C][C]-643455.682565747[/C][/ROW]
[ROW][C]53[/C][C]4114925[/C][C]4413825.54093354[/C][C]-298900.540933545[/C][/ROW]
[ROW][C]54[/C][C]4485120[/C][C]4216784.21208906[/C][C]268335.787910937[/C][/ROW]
[ROW][C]55[/C][C]4171230[/C][C]4024826.28750856[/C][C]146403.712491442[/C][/ROW]
[ROW][C]56[/C][C]4476075[/C][C]4044493.33376011[/C][C]431581.666239887[/C][/ROW]
[ROW][C]57[/C][C]4179369[/C][C]4285891.75095349[/C][C]-106522.750953489[/C][/ROW]
[ROW][C]58[/C][C]4823185[/C][C]4604642.06612746[/C][C]218542.933872543[/C][/ROW]
[ROW][C]59[/C][C]4585751[/C][C]4276535.19204577[/C][C]309215.807954230[/C][/ROW]
[ROW][C]60[/C][C]6110454[/C][C]5904478.94031623[/C][C]205975.059683773[/C][/ROW]
[ROW][C]61[/C][C]4279575[/C][C]4703033.98939944[/C][C]-423458.989399437[/C][/ROW]
[ROW][C]62[/C][C]3782118[/C][C]4385283.58952102[/C][C]-603165.589521022[/C][/ROW]
[ROW][C]63[/C][C]4098678[/C][C]4723633.92759812[/C][C]-624955.92759812[/C][/ROW]
[ROW][C]64[/C][C]4065616[/C][C]4196651.60483322[/C][C]-131035.604833215[/C][/ROW]
[ROW][C]65[/C][C]4413733[/C][C]4393386.38134009[/C][C]20346.6186599061[/C][/ROW]
[ROW][C]66[/C][C]4481214[/C][C]4623343.19976922[/C][C]-142129.199769218[/C][/ROW]
[ROW][C]67[/C][C]4345018[/C][C]4137723.12519333[/C][C]207294.874806668[/C][/ROW]
[ROW][C]68[/C][C]4294488[/C][C]4306841.32790667[/C][C]-12353.3279066654[/C][/ROW]
[ROW][C]69[/C][C]4361269[/C][C]4035287.77517791[/C][C]325981.224822092[/C][/ROW]
[ROW][C]70[/C][C]4535031[/C][C]4721592.44561686[/C][C]-186561.445616863[/C][/ROW]
[ROW][C]71[/C][C]4318397[/C][C]4192535.55285227[/C][C]125861.447147725[/C][/ROW]
[ROW][C]72[/C][C]6040168[/C][C]5644941.00494496[/C][C]395226.995055038[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41257&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41257&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
1340806423176369.41212607904272.587873931
1437353293335539.4904987399789.509501302
1540183833870350.74007012148032.25992988
1641713604136728.0196793534631.9803206502
1738556983878142.30307426-22444.3030742551
1841013164119535.8192681-18219.8192680990
1941993464058108.47280823141237.527191766
2039596464247154.58338358-287508.583383575
2139608414039735.59209069-78894.5920906914
2247840254778152.071953075872.92804693151
2341054674297801.37769399-192334.377693994
2459295585173145.17927921756412.820720788
2540486426772887.1396508-2724245.13965080
2638288084703358.88601399-874550.886013987
2742681274362841.05907513-94714.0590751283
2841718164367130.14716556-195314.147165559
2940047833873940.90668424130842.093315756
3042954474118861.27412441176585.725875588
3139681774159602.69666782-191425.696667817
3239184803887449.4618603331030.5381396674
3340402603871149.0717204169110.928279602
3445307154711369.80119669-180654.801196693
3541033303963904.7315582139425.268441805
3660255065388655.47043412636850.529565884
3746323085245991.50930802-613683.509308024
3841338635146088.50435656-1012225.50435656
3945191825068064.86997888-548882.869978877
4041515734747133.43335462-595560.433354619
4144865954145440.0667464341154.933253599
4245046994485790.2444390218908.7555609755
4341804434229112.99294911-48669.9929491067
4442221934097320.83443356124872.165566443
4543737274158298.36137719215428.638622811
4647347384825958.63990418-91220.6399041796
4744032324240675.18306797162556.816932035
4859039855874403.1715625129581.8284374904
4944140744779743.55854506-365669.558545060
5040618164587454.74218423-525638.742184228
5145046974955028.43373544-450331.433735436
5239941764637631.68256575-643455.682565747
5341149254413825.54093354-298900.540933545
5444851204216784.21208906268335.787910937
5541712304024826.28750856146403.712491442
5644760754044493.33376011431581.666239887
5741793694285891.75095349-106522.750953489
5848231854604642.06612746218542.933872543
5945857514276535.19204577309215.807954230
6061104545904478.94031623205975.059683773
6142795754703033.98939944-423458.989399437
6237821184385283.58952102-603165.589521022
6340986784723633.92759812-624955.92759812
6440656164196651.60483322-131035.604833215
6544137334393386.3813400920346.6186599061
6644812144623343.19976922-142129.199769218
6743450184137723.12519333207294.874806668
6842944884306841.32790667-12353.3279066654
6943612694035287.77517791325981.224822092
7045350314721592.44561686-186561.445616863
7143183974192535.55285227125861.447147725
7260401685644941.00494496395226.995055038







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
734229826.249010103231984.9678045227667.53021619
744042156.205141792897712.198229645186600.21205395
754694447.95951213409637.268239385979258.65078482
764746097.678950973324917.39274696167277.96515503
775100564.411846893545603.426330626655525.39736315
785261335.700222213574238.727544586948432.67289985
795033772.958434373215521.630048366852024.28682037
805005170.852025193056264.578902386954077.12514799
814912129.791359692832707.659853136991551.92286626
825194158.290474742984084.306874967404232.2740745
834922089.831089142581014.352076437263165.31010186
846440526.640551733967931.756950538913121.52415293

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 4229826.24901010 & 3231984.967804 & 5227667.53021619 \tabularnewline
74 & 4042156.20514179 & 2897712.19822964 & 5186600.21205395 \tabularnewline
75 & 4694447.9595121 & 3409637.26823938 & 5979258.65078482 \tabularnewline
76 & 4746097.67895097 & 3324917.3927469 & 6167277.96515503 \tabularnewline
77 & 5100564.41184689 & 3545603.42633062 & 6655525.39736315 \tabularnewline
78 & 5261335.70022221 & 3574238.72754458 & 6948432.67289985 \tabularnewline
79 & 5033772.95843437 & 3215521.63004836 & 6852024.28682037 \tabularnewline
80 & 5005170.85202519 & 3056264.57890238 & 6954077.12514799 \tabularnewline
81 & 4912129.79135969 & 2832707.65985313 & 6991551.92286626 \tabularnewline
82 & 5194158.29047474 & 2984084.30687496 & 7404232.2740745 \tabularnewline
83 & 4922089.83108914 & 2581014.35207643 & 7263165.31010186 \tabularnewline
84 & 6440526.64055173 & 3967931.75695053 & 8913121.52415293 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41257&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]4229826.24901010[/C][C]3231984.967804[/C][C]5227667.53021619[/C][/ROW]
[ROW][C]74[/C][C]4042156.20514179[/C][C]2897712.19822964[/C][C]5186600.21205395[/C][/ROW]
[ROW][C]75[/C][C]4694447.9595121[/C][C]3409637.26823938[/C][C]5979258.65078482[/C][/ROW]
[ROW][C]76[/C][C]4746097.67895097[/C][C]3324917.3927469[/C][C]6167277.96515503[/C][/ROW]
[ROW][C]77[/C][C]5100564.41184689[/C][C]3545603.42633062[/C][C]6655525.39736315[/C][/ROW]
[ROW][C]78[/C][C]5261335.70022221[/C][C]3574238.72754458[/C][C]6948432.67289985[/C][/ROW]
[ROW][C]79[/C][C]5033772.95843437[/C][C]3215521.63004836[/C][C]6852024.28682037[/C][/ROW]
[ROW][C]80[/C][C]5005170.85202519[/C][C]3056264.57890238[/C][C]6954077.12514799[/C][/ROW]
[ROW][C]81[/C][C]4912129.79135969[/C][C]2832707.65985313[/C][C]6991551.92286626[/C][/ROW]
[ROW][C]82[/C][C]5194158.29047474[/C][C]2984084.30687496[/C][C]7404232.2740745[/C][/ROW]
[ROW][C]83[/C][C]4922089.83108914[/C][C]2581014.35207643[/C][C]7263165.31010186[/C][/ROW]
[ROW][C]84[/C][C]6440526.64055173[/C][C]3967931.75695053[/C][C]8913121.52415293[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41257&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41257&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
734229826.249010103231984.9678045227667.53021619
744042156.205141792897712.198229645186600.21205395
754694447.95951213409637.268239385979258.65078482
764746097.678950973324917.39274696167277.96515503
775100564.411846893545603.426330626655525.39736315
785261335.700222213574238.727544586948432.67289985
795033772.958434373215521.630048366852024.28682037
805005170.852025193056264.578902386954077.12514799
814912129.791359692832707.659853136991551.92286626
825194158.290474742984084.306874967404232.2740745
834922089.831089142581014.352076437263165.31010186
846440526.640551733967931.756950538913121.52415293



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')