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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 computationWed, 18 May 2011 14:37:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/18/t1305729207lg3m6wvuik6shqo.htm/, Retrieved Mon, 13 May 2024 22:53:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121872, Retrieved Mon, 13 May 2024 22:53:35 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave 10 oefening 2] [2011-05-18 14:37:15] [58d8a931f127f4dbe815c0a9b73ee0dc] [Current]
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Dataseries X:
10407
10463
10556
10646
10702
11353
11346
11451
11964
12574
13031
13812
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745
19394
20148
20108
18584
18441
18391
19178
18079
18483
19644
19195
19650
20830
23595
22937
21814
21928
21777
21383
21467
22052
22680
24320
24977
25204
25739
26434
27525
30695
32436
30160
30236
31293
31077
32226
33865
32810




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ www.wessa.org

\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' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121872&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' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121872&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121872&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' @ www.wessa.org







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.750102276552439
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.750102276552439 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121872&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]0.750102276552439[/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=121872&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121872&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
alpha0.750102276552439
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131454412099.21868267272444.78131732733
141493114291.259502767639.740497233011
151488614765.9690523822120.030947617797
161600516100.4734136235-95.4734136235274
171706417248.8405028966-184.840502896604
181516815385.4286115819-217.428611581863
191605015329.3374432133720.66255678666
201583915873.6076945031-34.6076945031036
211513716406.8319429242-1269.83194292422
221495416074.9307559364-1120.93075593644
231564815552.010210990195.9897890098891
241530516401.9298589301-1096.92985893007
251557917070.6652162102-1491.6652162102
261634815808.8014881881539.198511811861
271592816036.041507764-108.041507763966
281617117204.1981776734-1033.19817767338
291593717647.8114703688-1710.81147036876
301571314716.2093422803996.790657719728
311559415799.0279129557-205.027912955695
321568315473.2452562242209.754743775791
331643815862.8434427541575.156557245855
341703216959.92613674572.0738632550274
351769617674.182561174721.8174388253137
361774518171.4009909518-426.400990951781
371939419384.32379927939.67620072072168
382014819750.8963904935397.103609506477
392010819552.9503332592555.049666740753
401858421137.1105538536-2553.1105538536
411844120357.3900045254-1916.39000452539
421839117686.5619729097704.438027090298
431917818200.1027579782977.897242021772
441807918778.4634748238-699.463474823802
451848318571.2639401369-88.263940136887
461964419070.336672515573.663327484977
471919520192.2929897825-997.292989782534
481965019813.3870639623-163.387063962331
492083021472.1276817113-642.127681711321
502359521452.03865763462142.96134236536
512293722482.4865559503454.513444049659
522181423147.2133687415-1333.21336874153
532192823575.1447561781-1647.14475617815
542177721558.0800507517218.919949248277
552138321711.350736046-328.350736046024
562146720777.1487256761689.851274323933
572205221789.0561450684262.943854931636
582268022787.2031352412-107.203135241176
592432022988.47359475571331.52640524428
602497724622.8935853504354.106414649643
612520426890.8567459665-1686.85674596648
622573926916.3592139628-1177.35921396278
632643424892.25437702441541.74562297558
642752525844.54319850531680.45680149475
653069528665.03772166082029.96227833919
663243629619.82495952582816.17504047418
673016031357.4522765505-1197.45227655049
683023629694.2412564194541.758743580576
693129330509.0212752618783.978724738154
703107731956.4878608999-879.48786089995
713222632031.7211939538194.278806046157
723386532582.61460566721282.38539433278
733281035397.227656543-2587.22765654298

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 14544 & 12099.2186826727 & 2444.78131732733 \tabularnewline
14 & 14931 & 14291.259502767 & 639.740497233011 \tabularnewline
15 & 14886 & 14765.9690523822 & 120.030947617797 \tabularnewline
16 & 16005 & 16100.4734136235 & -95.4734136235274 \tabularnewline
17 & 17064 & 17248.8405028966 & -184.840502896604 \tabularnewline
18 & 15168 & 15385.4286115819 & -217.428611581863 \tabularnewline
19 & 16050 & 15329.3374432133 & 720.66255678666 \tabularnewline
20 & 15839 & 15873.6076945031 & -34.6076945031036 \tabularnewline
21 & 15137 & 16406.8319429242 & -1269.83194292422 \tabularnewline
22 & 14954 & 16074.9307559364 & -1120.93075593644 \tabularnewline
23 & 15648 & 15552.0102109901 & 95.9897890098891 \tabularnewline
24 & 15305 & 16401.9298589301 & -1096.92985893007 \tabularnewline
25 & 15579 & 17070.6652162102 & -1491.6652162102 \tabularnewline
26 & 16348 & 15808.8014881881 & 539.198511811861 \tabularnewline
27 & 15928 & 16036.041507764 & -108.041507763966 \tabularnewline
28 & 16171 & 17204.1981776734 & -1033.19817767338 \tabularnewline
29 & 15937 & 17647.8114703688 & -1710.81147036876 \tabularnewline
30 & 15713 & 14716.2093422803 & 996.790657719728 \tabularnewline
31 & 15594 & 15799.0279129557 & -205.027912955695 \tabularnewline
32 & 15683 & 15473.2452562242 & 209.754743775791 \tabularnewline
33 & 16438 & 15862.8434427541 & 575.156557245855 \tabularnewline
34 & 17032 & 16959.926136745 & 72.0738632550274 \tabularnewline
35 & 17696 & 17674.1825611747 & 21.8174388253137 \tabularnewline
36 & 17745 & 18171.4009909518 & -426.400990951781 \tabularnewline
37 & 19394 & 19384.3237992793 & 9.67620072072168 \tabularnewline
38 & 20148 & 19750.8963904935 & 397.103609506477 \tabularnewline
39 & 20108 & 19552.9503332592 & 555.049666740753 \tabularnewline
40 & 18584 & 21137.1105538536 & -2553.1105538536 \tabularnewline
41 & 18441 & 20357.3900045254 & -1916.39000452539 \tabularnewline
42 & 18391 & 17686.5619729097 & 704.438027090298 \tabularnewline
43 & 19178 & 18200.1027579782 & 977.897242021772 \tabularnewline
44 & 18079 & 18778.4634748238 & -699.463474823802 \tabularnewline
45 & 18483 & 18571.2639401369 & -88.263940136887 \tabularnewline
46 & 19644 & 19070.336672515 & 573.663327484977 \tabularnewline
47 & 19195 & 20192.2929897825 & -997.292989782534 \tabularnewline
48 & 19650 & 19813.3870639623 & -163.387063962331 \tabularnewline
49 & 20830 & 21472.1276817113 & -642.127681711321 \tabularnewline
50 & 23595 & 21452.0386576346 & 2142.96134236536 \tabularnewline
51 & 22937 & 22482.4865559503 & 454.513444049659 \tabularnewline
52 & 21814 & 23147.2133687415 & -1333.21336874153 \tabularnewline
53 & 21928 & 23575.1447561781 & -1647.14475617815 \tabularnewline
54 & 21777 & 21558.0800507517 & 218.919949248277 \tabularnewline
55 & 21383 & 21711.350736046 & -328.350736046024 \tabularnewline
56 & 21467 & 20777.1487256761 & 689.851274323933 \tabularnewline
57 & 22052 & 21789.0561450684 & 262.943854931636 \tabularnewline
58 & 22680 & 22787.2031352412 & -107.203135241176 \tabularnewline
59 & 24320 & 22988.4735947557 & 1331.52640524428 \tabularnewline
60 & 24977 & 24622.8935853504 & 354.106414649643 \tabularnewline
61 & 25204 & 26890.8567459665 & -1686.85674596648 \tabularnewline
62 & 25739 & 26916.3592139628 & -1177.35921396278 \tabularnewline
63 & 26434 & 24892.2543770244 & 1541.74562297558 \tabularnewline
64 & 27525 & 25844.5431985053 & 1680.45680149475 \tabularnewline
65 & 30695 & 28665.0377216608 & 2029.96227833919 \tabularnewline
66 & 32436 & 29619.8249595258 & 2816.17504047418 \tabularnewline
67 & 30160 & 31357.4522765505 & -1197.45227655049 \tabularnewline
68 & 30236 & 29694.2412564194 & 541.758743580576 \tabularnewline
69 & 31293 & 30509.0212752618 & 783.978724738154 \tabularnewline
70 & 31077 & 31956.4878608999 & -879.48786089995 \tabularnewline
71 & 32226 & 32031.7211939538 & 194.278806046157 \tabularnewline
72 & 33865 & 32582.6146056672 & 1282.38539433278 \tabularnewline
73 & 32810 & 35397.227656543 & -2587.22765654298 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121872&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]14544[/C][C]12099.2186826727[/C][C]2444.78131732733[/C][/ROW]
[ROW][C]14[/C][C]14931[/C][C]14291.259502767[/C][C]639.740497233011[/C][/ROW]
[ROW][C]15[/C][C]14886[/C][C]14765.9690523822[/C][C]120.030947617797[/C][/ROW]
[ROW][C]16[/C][C]16005[/C][C]16100.4734136235[/C][C]-95.4734136235274[/C][/ROW]
[ROW][C]17[/C][C]17064[/C][C]17248.8405028966[/C][C]-184.840502896604[/C][/ROW]
[ROW][C]18[/C][C]15168[/C][C]15385.4286115819[/C][C]-217.428611581863[/C][/ROW]
[ROW][C]19[/C][C]16050[/C][C]15329.3374432133[/C][C]720.66255678666[/C][/ROW]
[ROW][C]20[/C][C]15839[/C][C]15873.6076945031[/C][C]-34.6076945031036[/C][/ROW]
[ROW][C]21[/C][C]15137[/C][C]16406.8319429242[/C][C]-1269.83194292422[/C][/ROW]
[ROW][C]22[/C][C]14954[/C][C]16074.9307559364[/C][C]-1120.93075593644[/C][/ROW]
[ROW][C]23[/C][C]15648[/C][C]15552.0102109901[/C][C]95.9897890098891[/C][/ROW]
[ROW][C]24[/C][C]15305[/C][C]16401.9298589301[/C][C]-1096.92985893007[/C][/ROW]
[ROW][C]25[/C][C]15579[/C][C]17070.6652162102[/C][C]-1491.6652162102[/C][/ROW]
[ROW][C]26[/C][C]16348[/C][C]15808.8014881881[/C][C]539.198511811861[/C][/ROW]
[ROW][C]27[/C][C]15928[/C][C]16036.041507764[/C][C]-108.041507763966[/C][/ROW]
[ROW][C]28[/C][C]16171[/C][C]17204.1981776734[/C][C]-1033.19817767338[/C][/ROW]
[ROW][C]29[/C][C]15937[/C][C]17647.8114703688[/C][C]-1710.81147036876[/C][/ROW]
[ROW][C]30[/C][C]15713[/C][C]14716.2093422803[/C][C]996.790657719728[/C][/ROW]
[ROW][C]31[/C][C]15594[/C][C]15799.0279129557[/C][C]-205.027912955695[/C][/ROW]
[ROW][C]32[/C][C]15683[/C][C]15473.2452562242[/C][C]209.754743775791[/C][/ROW]
[ROW][C]33[/C][C]16438[/C][C]15862.8434427541[/C][C]575.156557245855[/C][/ROW]
[ROW][C]34[/C][C]17032[/C][C]16959.926136745[/C][C]72.0738632550274[/C][/ROW]
[ROW][C]35[/C][C]17696[/C][C]17674.1825611747[/C][C]21.8174388253137[/C][/ROW]
[ROW][C]36[/C][C]17745[/C][C]18171.4009909518[/C][C]-426.400990951781[/C][/ROW]
[ROW][C]37[/C][C]19394[/C][C]19384.3237992793[/C][C]9.67620072072168[/C][/ROW]
[ROW][C]38[/C][C]20148[/C][C]19750.8963904935[/C][C]397.103609506477[/C][/ROW]
[ROW][C]39[/C][C]20108[/C][C]19552.9503332592[/C][C]555.049666740753[/C][/ROW]
[ROW][C]40[/C][C]18584[/C][C]21137.1105538536[/C][C]-2553.1105538536[/C][/ROW]
[ROW][C]41[/C][C]18441[/C][C]20357.3900045254[/C][C]-1916.39000452539[/C][/ROW]
[ROW][C]42[/C][C]18391[/C][C]17686.5619729097[/C][C]704.438027090298[/C][/ROW]
[ROW][C]43[/C][C]19178[/C][C]18200.1027579782[/C][C]977.897242021772[/C][/ROW]
[ROW][C]44[/C][C]18079[/C][C]18778.4634748238[/C][C]-699.463474823802[/C][/ROW]
[ROW][C]45[/C][C]18483[/C][C]18571.2639401369[/C][C]-88.263940136887[/C][/ROW]
[ROW][C]46[/C][C]19644[/C][C]19070.336672515[/C][C]573.663327484977[/C][/ROW]
[ROW][C]47[/C][C]19195[/C][C]20192.2929897825[/C][C]-997.292989782534[/C][/ROW]
[ROW][C]48[/C][C]19650[/C][C]19813.3870639623[/C][C]-163.387063962331[/C][/ROW]
[ROW][C]49[/C][C]20830[/C][C]21472.1276817113[/C][C]-642.127681711321[/C][/ROW]
[ROW][C]50[/C][C]23595[/C][C]21452.0386576346[/C][C]2142.96134236536[/C][/ROW]
[ROW][C]51[/C][C]22937[/C][C]22482.4865559503[/C][C]454.513444049659[/C][/ROW]
[ROW][C]52[/C][C]21814[/C][C]23147.2133687415[/C][C]-1333.21336874153[/C][/ROW]
[ROW][C]53[/C][C]21928[/C][C]23575.1447561781[/C][C]-1647.14475617815[/C][/ROW]
[ROW][C]54[/C][C]21777[/C][C]21558.0800507517[/C][C]218.919949248277[/C][/ROW]
[ROW][C]55[/C][C]21383[/C][C]21711.350736046[/C][C]-328.350736046024[/C][/ROW]
[ROW][C]56[/C][C]21467[/C][C]20777.1487256761[/C][C]689.851274323933[/C][/ROW]
[ROW][C]57[/C][C]22052[/C][C]21789.0561450684[/C][C]262.943854931636[/C][/ROW]
[ROW][C]58[/C][C]22680[/C][C]22787.2031352412[/C][C]-107.203135241176[/C][/ROW]
[ROW][C]59[/C][C]24320[/C][C]22988.4735947557[/C][C]1331.52640524428[/C][/ROW]
[ROW][C]60[/C][C]24977[/C][C]24622.8935853504[/C][C]354.106414649643[/C][/ROW]
[ROW][C]61[/C][C]25204[/C][C]26890.8567459665[/C][C]-1686.85674596648[/C][/ROW]
[ROW][C]62[/C][C]25739[/C][C]26916.3592139628[/C][C]-1177.35921396278[/C][/ROW]
[ROW][C]63[/C][C]26434[/C][C]24892.2543770244[/C][C]1541.74562297558[/C][/ROW]
[ROW][C]64[/C][C]27525[/C][C]25844.5431985053[/C][C]1680.45680149475[/C][/ROW]
[ROW][C]65[/C][C]30695[/C][C]28665.0377216608[/C][C]2029.96227833919[/C][/ROW]
[ROW][C]66[/C][C]32436[/C][C]29619.8249595258[/C][C]2816.17504047418[/C][/ROW]
[ROW][C]67[/C][C]30160[/C][C]31357.4522765505[/C][C]-1197.45227655049[/C][/ROW]
[ROW][C]68[/C][C]30236[/C][C]29694.2412564194[/C][C]541.758743580576[/C][/ROW]
[ROW][C]69[/C][C]31293[/C][C]30509.0212752618[/C][C]783.978724738154[/C][/ROW]
[ROW][C]70[/C][C]31077[/C][C]31956.4878608999[/C][C]-879.48786089995[/C][/ROW]
[ROW][C]71[/C][C]32226[/C][C]32031.7211939538[/C][C]194.278806046157[/C][/ROW]
[ROW][C]72[/C][C]33865[/C][C]32582.6146056672[/C][C]1282.38539433278[/C][/ROW]
[ROW][C]73[/C][C]32810[/C][C]35397.227656543[/C][C]-2587.22765654298[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121872&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121872&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
131454412099.21868267272444.78131732733
141493114291.259502767639.740497233011
151488614765.9690523822120.030947617797
161600516100.4734136235-95.4734136235274
171706417248.8405028966-184.840502896604
181516815385.4286115819-217.428611581863
191605015329.3374432133720.66255678666
201583915873.6076945031-34.6076945031036
211513716406.8319429242-1269.83194292422
221495416074.9307559364-1120.93075593644
231564815552.010210990195.9897890098891
241530516401.9298589301-1096.92985893007
251557917070.6652162102-1491.6652162102
261634815808.8014881881539.198511811861
271592816036.041507764-108.041507763966
281617117204.1981776734-1033.19817767338
291593717647.8114703688-1710.81147036876
301571314716.2093422803996.790657719728
311559415799.0279129557-205.027912955695
321568315473.2452562242209.754743775791
331643815862.8434427541575.156557245855
341703216959.92613674572.0738632550274
351769617674.182561174721.8174388253137
361774518171.4009909518-426.400990951781
371939419384.32379927939.67620072072168
382014819750.8963904935397.103609506477
392010819552.9503332592555.049666740753
401858421137.1105538536-2553.1105538536
411844120357.3900045254-1916.39000452539
421839117686.5619729097704.438027090298
431917818200.1027579782977.897242021772
441807918778.4634748238-699.463474823802
451848318571.2639401369-88.263940136887
461964419070.336672515573.663327484977
471919520192.2929897825-997.292989782534
481965019813.3870639623-163.387063962331
492083021472.1276817113-642.127681711321
502359521452.03865763462142.96134236536
512293722482.4865559503454.513444049659
522181423147.2133687415-1333.21336874153
532192823575.1447561781-1647.14475617815
542177721558.0800507517218.919949248277
552138321711.350736046-328.350736046024
562146720777.1487256761689.851274323933
572205221789.0561450684262.943854931636
582268022787.2031352412-107.203135241176
592432022988.47359475571331.52640524428
602497724622.8935853504354.106414649643
612520426890.8567459665-1686.85674596648
622573926916.3592139628-1177.35921396278
632643424892.25437702441541.74562297558
642752525844.54319850531680.45680149475
653069528665.03772166082029.96227833919
663243629619.82495952582816.17504047418
673016031357.4522765505-1197.45227655049
683023629694.2412564194541.758743580576
693129330509.0212752618783.978724738154
703107731956.4878608999-879.48786089995
713222632031.7211939538194.278806046157
723386532582.61460566721282.38539433278
733281035397.227656543-2587.22765654298







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7435202.996799278632961.990767370237444.002831187
7534415.090438142131646.315537312337183.8653389719
7634061.710927828430857.200037518237266.2218181387
7735980.379737451632259.539332933839701.2201419693
7835427.765921405331417.064266667439438.4675761432
7933881.653084496229701.946599430438061.3595695621
8033467.111585056629036.841462251437897.3817078617
8133946.099536255529191.97018195438700.228890557
8234393.776833389329338.085032536839449.4686342417
8335467.088207369730046.198410869640887.9780038697
8436167.134963855330444.027823937141890.2421037734
8537048.962458201131440.280385403642657.6445309987

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
74 & 35202.9967992786 & 32961.9907673702 & 37444.002831187 \tabularnewline
75 & 34415.0904381421 & 31646.3155373123 & 37183.8653389719 \tabularnewline
76 & 34061.7109278284 & 30857.2000375182 & 37266.2218181387 \tabularnewline
77 & 35980.3797374516 & 32259.5393329338 & 39701.2201419693 \tabularnewline
78 & 35427.7659214053 & 31417.0642666674 & 39438.4675761432 \tabularnewline
79 & 33881.6530844962 & 29701.9465994304 & 38061.3595695621 \tabularnewline
80 & 33467.1115850566 & 29036.8414622514 & 37897.3817078617 \tabularnewline
81 & 33946.0995362555 & 29191.970181954 & 38700.228890557 \tabularnewline
82 & 34393.7768333893 & 29338.0850325368 & 39449.4686342417 \tabularnewline
83 & 35467.0882073697 & 30046.1984108696 & 40887.9780038697 \tabularnewline
84 & 36167.1349638553 & 30444.0278239371 & 41890.2421037734 \tabularnewline
85 & 37048.9624582011 & 31440.2803854036 & 42657.6445309987 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121872&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]74[/C][C]35202.9967992786[/C][C]32961.9907673702[/C][C]37444.002831187[/C][/ROW]
[ROW][C]75[/C][C]34415.0904381421[/C][C]31646.3155373123[/C][C]37183.8653389719[/C][/ROW]
[ROW][C]76[/C][C]34061.7109278284[/C][C]30857.2000375182[/C][C]37266.2218181387[/C][/ROW]
[ROW][C]77[/C][C]35980.3797374516[/C][C]32259.5393329338[/C][C]39701.2201419693[/C][/ROW]
[ROW][C]78[/C][C]35427.7659214053[/C][C]31417.0642666674[/C][C]39438.4675761432[/C][/ROW]
[ROW][C]79[/C][C]33881.6530844962[/C][C]29701.9465994304[/C][C]38061.3595695621[/C][/ROW]
[ROW][C]80[/C][C]33467.1115850566[/C][C]29036.8414622514[/C][C]37897.3817078617[/C][/ROW]
[ROW][C]81[/C][C]33946.0995362555[/C][C]29191.970181954[/C][C]38700.228890557[/C][/ROW]
[ROW][C]82[/C][C]34393.7768333893[/C][C]29338.0850325368[/C][C]39449.4686342417[/C][/ROW]
[ROW][C]83[/C][C]35467.0882073697[/C][C]30046.1984108696[/C][C]40887.9780038697[/C][/ROW]
[ROW][C]84[/C][C]36167.1349638553[/C][C]30444.0278239371[/C][C]41890.2421037734[/C][/ROW]
[ROW][C]85[/C][C]37048.9624582011[/C][C]31440.2803854036[/C][C]42657.6445309987[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121872&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121872&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
7435202.996799278632961.990767370237444.002831187
7534415.090438142131646.315537312337183.8653389719
7634061.710927828430857.200037518237266.2218181387
7735980.379737451632259.539332933839701.2201419693
7835427.765921405331417.064266667439438.4675761432
7933881.653084496229701.946599430438061.3595695621
8033467.111585056629036.841462251437897.3817078617
8133946.099536255529191.97018195438700.228890557
8234393.776833389329338.085032536839449.4686342417
8335467.088207369730046.198410869640887.9780038697
8436167.134963855330444.027823937141890.2421037734
8537048.962458201131440.280385403642657.6445309987



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=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')