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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 25 May 2008 09:06:28 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/25/t1211728039tdghlmm5c82g2v2.htm/, Retrieved Wed, 15 May 2024 03:03:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13163, Retrieved Wed, 15 May 2024 03:03:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exp smoothing] [2008-05-25 15:06:28] [15ccabfe3b960eee2f000db554701399] [Current]
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Dataseries X:
41086
39690
43129
37863
35953
29133
24693
22205
21725
27192
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13163&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13163&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13163&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.269020114715571
beta0.000794515688686379
gamma0.647545306845453

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.269020114715571 \tabularnewline
beta & 0.000794515688686379 \tabularnewline
gamma & 0.647545306845453 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13163&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]0.269020114715571[/C][/ROW]
[ROW][C]beta[/C][C]0.000794515688686379[/C][/ROW]
[ROW][C]gamma[/C][C]0.647545306845453[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13163&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13163&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
alpha0.269020114715571
beta0.000794515688686379
gamma0.647545306845453







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133770239185.4976388889-1483.49763888889
143036431314.6139080394-950.613908039413
153260933267.3834347094-658.383434709365
163021230598.0864468339-386.086446833942
172996530082.9186368187-117.918636818729
182835228311.20149113840.7985088619971
192581425711.1495038309102.850496169132
202241422088.4793992713325.52060072868
212050619881.5316087857624.468391214261
222880627980.1819281694825.818071830643
232222821483.9675393312744.032460668841
241397113659.7018726830311.298127316957
253684537372.9275490279-527.927549027881
263533830011.41931965465326.58068034544
273502233792.61863564651229.38136435346
283477731761.87465609183015.12534390822
292688732291.1799993497-5404.17999934965
302397029173.8934320634-5203.89343206336
312278025192.5782927589-2412.57829275888
321735120998.3614692089-3647.36146920886
332138217863.03902201093518.96097798915
342456126835.1979309961-2274.19793099609
351740919465.1661502300-2056.16615023002
361151410681.0225058456832.977494154407
373151434135.7240364325-2621.72403643249
382707128980.0578886706-1909.05788867064
392946228871.7267237739590.273276226129
402610527510.5626871544-1405.56268715436
412239722860.697502806-463.697502806011
422384321163.65955446192679.34044553812
432170520622.38150185541082.61849814457
441808916782.75476943981306.24523056019
452076418372.02393105982391.97606894016
462531624298.45759066261017.54240933738
471770417917.4827076927-213.482707692710
481554810997.31538337674550.68461662326
492802933818.39481305-5789.39481305002
502938328148.71697942561234.28302057439
513643830070.5397302846367.46026971597
523203429321.5679356722712.43206432803
532267926228.9581711376-3549.95817113758
542431925192.3351898115-873.335189811492
551800422941.7075003799-4937.7075003799
561753717589.2453249500-52.2453249499558
572036619327.58677840971038.4132215903
582278224239.6284255707-1457.62842557074
591916916609.87874748872559.12125251132
601380712691.06616616071115.93383383932
612974329693.379567063949.6204329361317
622559128920.0192473718-3329.01924737185
632909632043.8970469941-2947.89704699406
642648227056.7588683261-574.758868326102
652240520112.80261829022292.19738170978
662704421913.27540155665130.72459844344
671797019353.7820862739-1383.78208627392
681873017270.41634559931459.58365440071
691968419932.5701622099-248.570162209897
701978523317.474294791-3532.474294791
711847917030.97430772521448.02569227476
721069812130.0213606700-1432.02136066998

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 37702 & 39185.4976388889 & -1483.49763888889 \tabularnewline
14 & 30364 & 31314.6139080394 & -950.613908039413 \tabularnewline
15 & 32609 & 33267.3834347094 & -658.383434709365 \tabularnewline
16 & 30212 & 30598.0864468339 & -386.086446833942 \tabularnewline
17 & 29965 & 30082.9186368187 & -117.918636818729 \tabularnewline
18 & 28352 & 28311.201491138 & 40.7985088619971 \tabularnewline
19 & 25814 & 25711.1495038309 & 102.850496169132 \tabularnewline
20 & 22414 & 22088.4793992713 & 325.52060072868 \tabularnewline
21 & 20506 & 19881.5316087857 & 624.468391214261 \tabularnewline
22 & 28806 & 27980.1819281694 & 825.818071830643 \tabularnewline
23 & 22228 & 21483.9675393312 & 744.032460668841 \tabularnewline
24 & 13971 & 13659.7018726830 & 311.298127316957 \tabularnewline
25 & 36845 & 37372.9275490279 & -527.927549027881 \tabularnewline
26 & 35338 & 30011.4193196546 & 5326.58068034544 \tabularnewline
27 & 35022 & 33792.6186356465 & 1229.38136435346 \tabularnewline
28 & 34777 & 31761.8746560918 & 3015.12534390822 \tabularnewline
29 & 26887 & 32291.1799993497 & -5404.17999934965 \tabularnewline
30 & 23970 & 29173.8934320634 & -5203.89343206336 \tabularnewline
31 & 22780 & 25192.5782927589 & -2412.57829275888 \tabularnewline
32 & 17351 & 20998.3614692089 & -3647.36146920886 \tabularnewline
33 & 21382 & 17863.0390220109 & 3518.96097798915 \tabularnewline
34 & 24561 & 26835.1979309961 & -2274.19793099609 \tabularnewline
35 & 17409 & 19465.1661502300 & -2056.16615023002 \tabularnewline
36 & 11514 & 10681.0225058456 & 832.977494154407 \tabularnewline
37 & 31514 & 34135.7240364325 & -2621.72403643249 \tabularnewline
38 & 27071 & 28980.0578886706 & -1909.05788867064 \tabularnewline
39 & 29462 & 28871.7267237739 & 590.273276226129 \tabularnewline
40 & 26105 & 27510.5626871544 & -1405.56268715436 \tabularnewline
41 & 22397 & 22860.697502806 & -463.697502806011 \tabularnewline
42 & 23843 & 21163.6595544619 & 2679.34044553812 \tabularnewline
43 & 21705 & 20622.3815018554 & 1082.61849814457 \tabularnewline
44 & 18089 & 16782.7547694398 & 1306.24523056019 \tabularnewline
45 & 20764 & 18372.0239310598 & 2391.97606894016 \tabularnewline
46 & 25316 & 24298.4575906626 & 1017.54240933738 \tabularnewline
47 & 17704 & 17917.4827076927 & -213.482707692710 \tabularnewline
48 & 15548 & 10997.3153833767 & 4550.68461662326 \tabularnewline
49 & 28029 & 33818.39481305 & -5789.39481305002 \tabularnewline
50 & 29383 & 28148.7169794256 & 1234.28302057439 \tabularnewline
51 & 36438 & 30070.539730284 & 6367.46026971597 \tabularnewline
52 & 32034 & 29321.567935672 & 2712.43206432803 \tabularnewline
53 & 22679 & 26228.9581711376 & -3549.95817113758 \tabularnewline
54 & 24319 & 25192.3351898115 & -873.335189811492 \tabularnewline
55 & 18004 & 22941.7075003799 & -4937.7075003799 \tabularnewline
56 & 17537 & 17589.2453249500 & -52.2453249499558 \tabularnewline
57 & 20366 & 19327.5867784097 & 1038.4132215903 \tabularnewline
58 & 22782 & 24239.6284255707 & -1457.62842557074 \tabularnewline
59 & 19169 & 16609.8787474887 & 2559.12125251132 \tabularnewline
60 & 13807 & 12691.0661661607 & 1115.93383383932 \tabularnewline
61 & 29743 & 29693.3795670639 & 49.6204329361317 \tabularnewline
62 & 25591 & 28920.0192473718 & -3329.01924737185 \tabularnewline
63 & 29096 & 32043.8970469941 & -2947.89704699406 \tabularnewline
64 & 26482 & 27056.7588683261 & -574.758868326102 \tabularnewline
65 & 22405 & 20112.8026182902 & 2292.19738170978 \tabularnewline
66 & 27044 & 21913.2754015566 & 5130.72459844344 \tabularnewline
67 & 17970 & 19353.7820862739 & -1383.78208627392 \tabularnewline
68 & 18730 & 17270.4163455993 & 1459.58365440071 \tabularnewline
69 & 19684 & 19932.5701622099 & -248.570162209897 \tabularnewline
70 & 19785 & 23317.474294791 & -3532.474294791 \tabularnewline
71 & 18479 & 17030.9743077252 & 1448.02569227476 \tabularnewline
72 & 10698 & 12130.0213606700 & -1432.02136066998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13163&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]37702[/C][C]39185.4976388889[/C][C]-1483.49763888889[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]31314.6139080394[/C][C]-950.613908039413[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]33267.3834347094[/C][C]-658.383434709365[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]30598.0864468339[/C][C]-386.086446833942[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]30082.9186368187[/C][C]-117.918636818729[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]28311.201491138[/C][C]40.7985088619971[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]25711.1495038309[/C][C]102.850496169132[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]22088.4793992713[/C][C]325.52060072868[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]19881.5316087857[/C][C]624.468391214261[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]27980.1819281694[/C][C]825.818071830643[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]21483.9675393312[/C][C]744.032460668841[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]13659.7018726830[/C][C]311.298127316957[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]37372.9275490279[/C][C]-527.927549027881[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]30011.4193196546[/C][C]5326.58068034544[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]33792.6186356465[/C][C]1229.38136435346[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]31761.8746560918[/C][C]3015.12534390822[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]32291.1799993497[/C][C]-5404.17999934965[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]29173.8934320634[/C][C]-5203.89343206336[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]25192.5782927589[/C][C]-2412.57829275888[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]20998.3614692089[/C][C]-3647.36146920886[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]17863.0390220109[/C][C]3518.96097798915[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]26835.1979309961[/C][C]-2274.19793099609[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]19465.1661502300[/C][C]-2056.16615023002[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]10681.0225058456[/C][C]832.977494154407[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]34135.7240364325[/C][C]-2621.72403643249[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]28980.0578886706[/C][C]-1909.05788867064[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]28871.7267237739[/C][C]590.273276226129[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]27510.5626871544[/C][C]-1405.56268715436[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]22860.697502806[/C][C]-463.697502806011[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]21163.6595544619[/C][C]2679.34044553812[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]20622.3815018554[/C][C]1082.61849814457[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]16782.7547694398[/C][C]1306.24523056019[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]18372.0239310598[/C][C]2391.97606894016[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]24298.4575906626[/C][C]1017.54240933738[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]17917.4827076927[/C][C]-213.482707692710[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]10997.3153833767[/C][C]4550.68461662326[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]33818.39481305[/C][C]-5789.39481305002[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]28148.7169794256[/C][C]1234.28302057439[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]30070.539730284[/C][C]6367.46026971597[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]29321.567935672[/C][C]2712.43206432803[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]26228.9581711376[/C][C]-3549.95817113758[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]25192.3351898115[/C][C]-873.335189811492[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]22941.7075003799[/C][C]-4937.7075003799[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]17589.2453249500[/C][C]-52.2453249499558[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]19327.5867784097[/C][C]1038.4132215903[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]24239.6284255707[/C][C]-1457.62842557074[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]16609.8787474887[/C][C]2559.12125251132[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]12691.0661661607[/C][C]1115.93383383932[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]29693.3795670639[/C][C]49.6204329361317[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]28920.0192473718[/C][C]-3329.01924737185[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]32043.8970469941[/C][C]-2947.89704699406[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]27056.7588683261[/C][C]-574.758868326102[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]20112.8026182902[/C][C]2292.19738170978[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]21913.2754015566[/C][C]5130.72459844344[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]19353.7820862739[/C][C]-1383.78208627392[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]17270.4163455993[/C][C]1459.58365440071[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]19932.5701622099[/C][C]-248.570162209897[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]23317.474294791[/C][C]-3532.474294791[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]17030.9743077252[/C][C]1448.02569227476[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]12130.0213606700[/C][C]-1432.02136066998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13163&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13163&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
133770239185.4976388889-1483.49763888889
143036431314.6139080394-950.613908039413
153260933267.3834347094-658.383434709365
163021230598.0864468339-386.086446833942
172996530082.9186368187-117.918636818729
182835228311.20149113840.7985088619971
192581425711.1495038309102.850496169132
202241422088.4793992713325.52060072868
212050619881.5316087857624.468391214261
222880627980.1819281694825.818071830643
232222821483.9675393312744.032460668841
241397113659.7018726830311.298127316957
253684537372.9275490279-527.927549027881
263533830011.41931965465326.58068034544
273502233792.61863564651229.38136435346
283477731761.87465609183015.12534390822
292688732291.1799993497-5404.17999934965
302397029173.8934320634-5203.89343206336
312278025192.5782927589-2412.57829275888
321735120998.3614692089-3647.36146920886
332138217863.03902201093518.96097798915
342456126835.1979309961-2274.19793099609
351740919465.1661502300-2056.16615023002
361151410681.0225058456832.977494154407
373151434135.7240364325-2621.72403643249
382707128980.0578886706-1909.05788867064
392946228871.7267237739590.273276226129
402610527510.5626871544-1405.56268715436
412239722860.697502806-463.697502806011
422384321163.65955446192679.34044553812
432170520622.38150185541082.61849814457
441808916782.75476943981306.24523056019
452076418372.02393105982391.97606894016
462531624298.45759066261017.54240933738
471770417917.4827076927-213.482707692710
481554810997.31538337674550.68461662326
492802933818.39481305-5789.39481305002
502938328148.71697942561234.28302057439
513643830070.5397302846367.46026971597
523203429321.5679356722712.43206432803
532267926228.9581711376-3549.95817113758
542431925192.3351898115-873.335189811492
551800422941.7075003799-4937.7075003799
561753717589.2453249500-52.2453249499558
572036619327.58677840971038.4132215903
582278224239.6284255707-1457.62842557074
591916916609.87874748872559.12125251132
601380712691.06616616071115.93383383932
612974329693.379567063949.6204329361317
622559128920.0192473718-3329.01924737185
632909632043.8970469941-2947.89704699406
642648227056.7588683261-574.758868326102
652240520112.80261829022292.19738170978
662704421913.27540155665130.72459844344
671797019353.7820862739-1383.78208627392
681873017270.41634559931459.58365440071
691968419932.5701622099-248.570162209897
701978523317.474294791-3532.474294791
711847917030.97430772521448.02569227476
721069812130.0213606700-1432.02136066998







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7327941.496175697522858.463400957733024.5289504373
7425554.866448847620290.829829796430818.9030678989
7529754.763864457124315.470186565835194.0575423484
7626684.651859974721075.309018541632293.9947014077
7721253.167855348815478.523443557827027.8122671398
7823780.897376507717845.302125416429716.492627599
7916756.753907220410664.213535591022849.2942788498
8016391.046727959410145.264789014622636.8286669043
8117851.19648140711455.610121089824246.7828417242
8219747.807673844413205.617739964226289.9976077246
8316769.100531434410083.297131268823454.9039316000
8410115.04452206953288.428876148616941.6601679904

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 27941.4961756975 & 22858.4634009577 & 33024.5289504373 \tabularnewline
74 & 25554.8664488476 & 20290.8298297964 & 30818.9030678989 \tabularnewline
75 & 29754.7638644571 & 24315.4701865658 & 35194.0575423484 \tabularnewline
76 & 26684.6518599747 & 21075.3090185416 & 32293.9947014077 \tabularnewline
77 & 21253.1678553488 & 15478.5234435578 & 27027.8122671398 \tabularnewline
78 & 23780.8973765077 & 17845.3021254164 & 29716.492627599 \tabularnewline
79 & 16756.7539072204 & 10664.2135355910 & 22849.2942788498 \tabularnewline
80 & 16391.0467279594 & 10145.2647890146 & 22636.8286669043 \tabularnewline
81 & 17851.196481407 & 11455.6101210898 & 24246.7828417242 \tabularnewline
82 & 19747.8076738444 & 13205.6177399642 & 26289.9976077246 \tabularnewline
83 & 16769.1005314344 & 10083.2971312688 & 23454.9039316000 \tabularnewline
84 & 10115.0445220695 & 3288.4288761486 & 16941.6601679904 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13163&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]27941.4961756975[/C][C]22858.4634009577[/C][C]33024.5289504373[/C][/ROW]
[ROW][C]74[/C][C]25554.8664488476[/C][C]20290.8298297964[/C][C]30818.9030678989[/C][/ROW]
[ROW][C]75[/C][C]29754.7638644571[/C][C]24315.4701865658[/C][C]35194.0575423484[/C][/ROW]
[ROW][C]76[/C][C]26684.6518599747[/C][C]21075.3090185416[/C][C]32293.9947014077[/C][/ROW]
[ROW][C]77[/C][C]21253.1678553488[/C][C]15478.5234435578[/C][C]27027.8122671398[/C][/ROW]
[ROW][C]78[/C][C]23780.8973765077[/C][C]17845.3021254164[/C][C]29716.492627599[/C][/ROW]
[ROW][C]79[/C][C]16756.7539072204[/C][C]10664.2135355910[/C][C]22849.2942788498[/C][/ROW]
[ROW][C]80[/C][C]16391.0467279594[/C][C]10145.2647890146[/C][C]22636.8286669043[/C][/ROW]
[ROW][C]81[/C][C]17851.196481407[/C][C]11455.6101210898[/C][C]24246.7828417242[/C][/ROW]
[ROW][C]82[/C][C]19747.8076738444[/C][C]13205.6177399642[/C][C]26289.9976077246[/C][/ROW]
[ROW][C]83[/C][C]16769.1005314344[/C][C]10083.2971312688[/C][C]23454.9039316000[/C][/ROW]
[ROW][C]84[/C][C]10115.0445220695[/C][C]3288.4288761486[/C][C]16941.6601679904[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13163&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13163&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
7327941.496175697522858.463400957733024.5289504373
7425554.866448847620290.829829796430818.9030678989
7529754.763864457124315.470186565835194.0575423484
7626684.651859974721075.309018541632293.9947014077
7721253.167855348815478.523443557827027.8122671398
7823780.897376507717845.302125416429716.492627599
7916756.753907220410664.213535591022849.2942788498
8016391.046727959410145.264789014622636.8286669043
8117851.19648140711455.610121089824246.7828417242
8219747.807673844413205.617739964226289.9976077246
8316769.100531434410083.297131268823454.9039316000
8410115.04452206953288.428876148616941.6601679904



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')