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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 15 Jan 2013 11:23:58 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/15/t1358267057yyq9t4s9fohf8jf.htm/, Retrieved Sat, 27 Apr 2024 15:42:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205488, Retrieved Sat, 27 Apr 2024 15:42:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2013-01-15 16:23:58] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
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
32242
32700
32819
33947
34148
35261
39506
41591
39148
41216
40225




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205488&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205488&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205488&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.809612696837393
beta0.0473915804428729
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.809612696837393 \tabularnewline
beta & 0.0473915804428729 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205488&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]0.809612696837393[/C][/ROW]
[ROW][C]beta[/C][C]0.0473915804428729[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205488&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205488&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
alpha0.809612696837393
beta0.0473915804428729
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
131557915454.8089922599124.191007740068
141634816400.3568648049-52.3568648048931
151592815936.5540171057-8.55401710571641
161617116076.272807386294.7271926137564
171593715798.0691121036138.930887896397
181571315559.5426103057153.457389694258
191559416823.7277073958-1229.72770739577
201568315533.7166358653149.283364134701
211643814883.73722108471554.26277891533
221703215974.98125956491057.01874043512
231769617782.119494987-86.1194949869605
241774517470.5171076639274.482892336076
251939418165.23860962221228.76139037782
262014820284.2813371777-136.281337177661
272010819784.1173922728323.882607727217
281858420388.1215868341-1804.12158683409
291844118583.4361742659-142.436174265898
301839118113.6623134266277.337686573439
311917819399.4258170136-221.425817013573
321807919280.3705972743-1201.37059727426
331848317739.5313206564743.468679343609
341964418045.94404383631598.0559561637
351919520194.7067486545-999.706748654538
361965019187.1453712384462.854628761623
372083020267.1571421582562.842857841795
382359521617.95614056741977.04385943264
392293722906.27079331330.7292066869595
402181422854.2970962679-1040.29709626792
412192822036.523182401-108.523182400986
422177721678.992612230998.0073877691466
432138322953.1198399603-1570.11983996029
442146721533.3512110903-66.351211090263
452205221290.9246274714761.075372528609
462268021772.2164187407907.783581259286
472432022925.12301075011394.87698924988
482497724250.4879120826726.512087917421
492520425855.807168598-651.807168598043
502573926775.2833638674-1036.2833638674
512643425146.21641746111287.78358253885
522752525857.94065959611667.05934040385
533069527545.7759934653149.22400653503
543243629963.69840708322472.30159291681
553016033490.5159313452-3330.5159313452
563023631219.031903182-983.031903181985
573129330567.4040801462725.595919853771
583107731174.6265685892-97.626568589174
593222631914.283426123311.716573876969
603386532338.46545702351526.53454297652
613281034687.7878220401-1877.78782204006
623224235041.5558079968-2799.55580799683
633270032348.1411361482351.858863851827
643281932283.520450614535.479549385975
653394733339.0582727946607.941727205391
663414833376.8975300232771.102469976795
673526134203.20953369031057.79046630974
683950636009.77863269683496.22136730315
694159139512.81408268662078.18591731336
703914841116.2647384111-1968.26473841108
714121640712.1178795365503.882120463517
724022541672.6791013547-1447.67910135468

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 15579 & 15454.8089922599 & 124.191007740068 \tabularnewline
14 & 16348 & 16400.3568648049 & -52.3568648048931 \tabularnewline
15 & 15928 & 15936.5540171057 & -8.55401710571641 \tabularnewline
16 & 16171 & 16076.2728073862 & 94.7271926137564 \tabularnewline
17 & 15937 & 15798.0691121036 & 138.930887896397 \tabularnewline
18 & 15713 & 15559.5426103057 & 153.457389694258 \tabularnewline
19 & 15594 & 16823.7277073958 & -1229.72770739577 \tabularnewline
20 & 15683 & 15533.7166358653 & 149.283364134701 \tabularnewline
21 & 16438 & 14883.7372210847 & 1554.26277891533 \tabularnewline
22 & 17032 & 15974.9812595649 & 1057.01874043512 \tabularnewline
23 & 17696 & 17782.119494987 & -86.1194949869605 \tabularnewline
24 & 17745 & 17470.5171076639 & 274.482892336076 \tabularnewline
25 & 19394 & 18165.2386096222 & 1228.76139037782 \tabularnewline
26 & 20148 & 20284.2813371777 & -136.281337177661 \tabularnewline
27 & 20108 & 19784.1173922728 & 323.882607727217 \tabularnewline
28 & 18584 & 20388.1215868341 & -1804.12158683409 \tabularnewline
29 & 18441 & 18583.4361742659 & -142.436174265898 \tabularnewline
30 & 18391 & 18113.6623134266 & 277.337686573439 \tabularnewline
31 & 19178 & 19399.4258170136 & -221.425817013573 \tabularnewline
32 & 18079 & 19280.3705972743 & -1201.37059727426 \tabularnewline
33 & 18483 & 17739.5313206564 & 743.468679343609 \tabularnewline
34 & 19644 & 18045.9440438363 & 1598.0559561637 \tabularnewline
35 & 19195 & 20194.7067486545 & -999.706748654538 \tabularnewline
36 & 19650 & 19187.1453712384 & 462.854628761623 \tabularnewline
37 & 20830 & 20267.1571421582 & 562.842857841795 \tabularnewline
38 & 23595 & 21617.9561405674 & 1977.04385943264 \tabularnewline
39 & 22937 & 22906.270793313 & 30.7292066869595 \tabularnewline
40 & 21814 & 22854.2970962679 & -1040.29709626792 \tabularnewline
41 & 21928 & 22036.523182401 & -108.523182400986 \tabularnewline
42 & 21777 & 21678.9926122309 & 98.0073877691466 \tabularnewline
43 & 21383 & 22953.1198399603 & -1570.11983996029 \tabularnewline
44 & 21467 & 21533.3512110903 & -66.351211090263 \tabularnewline
45 & 22052 & 21290.9246274714 & 761.075372528609 \tabularnewline
46 & 22680 & 21772.2164187407 & 907.783581259286 \tabularnewline
47 & 24320 & 22925.1230107501 & 1394.87698924988 \tabularnewline
48 & 24977 & 24250.4879120826 & 726.512087917421 \tabularnewline
49 & 25204 & 25855.807168598 & -651.807168598043 \tabularnewline
50 & 25739 & 26775.2833638674 & -1036.2833638674 \tabularnewline
51 & 26434 & 25146.2164174611 & 1287.78358253885 \tabularnewline
52 & 27525 & 25857.9406595961 & 1667.05934040385 \tabularnewline
53 & 30695 & 27545.775993465 & 3149.22400653503 \tabularnewline
54 & 32436 & 29963.6984070832 & 2472.30159291681 \tabularnewline
55 & 30160 & 33490.5159313452 & -3330.5159313452 \tabularnewline
56 & 30236 & 31219.031903182 & -983.031903181985 \tabularnewline
57 & 31293 & 30567.4040801462 & 725.595919853771 \tabularnewline
58 & 31077 & 31174.6265685892 & -97.626568589174 \tabularnewline
59 & 32226 & 31914.283426123 & 311.716573876969 \tabularnewline
60 & 33865 & 32338.4654570235 & 1526.53454297652 \tabularnewline
61 & 32810 & 34687.7878220401 & -1877.78782204006 \tabularnewline
62 & 32242 & 35041.5558079968 & -2799.55580799683 \tabularnewline
63 & 32700 & 32348.1411361482 & 351.858863851827 \tabularnewline
64 & 32819 & 32283.520450614 & 535.479549385975 \tabularnewline
65 & 33947 & 33339.0582727946 & 607.941727205391 \tabularnewline
66 & 34148 & 33376.8975300232 & 771.102469976795 \tabularnewline
67 & 35261 & 34203.2095336903 & 1057.79046630974 \tabularnewline
68 & 39506 & 36009.7786326968 & 3496.22136730315 \tabularnewline
69 & 41591 & 39512.8140826866 & 2078.18591731336 \tabularnewline
70 & 39148 & 41116.2647384111 & -1968.26473841108 \tabularnewline
71 & 41216 & 40712.1178795365 & 503.882120463517 \tabularnewline
72 & 40225 & 41672.6791013547 & -1447.67910135468 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205488&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]15579[/C][C]15454.8089922599[/C][C]124.191007740068[/C][/ROW]
[ROW][C]14[/C][C]16348[/C][C]16400.3568648049[/C][C]-52.3568648048931[/C][/ROW]
[ROW][C]15[/C][C]15928[/C][C]15936.5540171057[/C][C]-8.55401710571641[/C][/ROW]
[ROW][C]16[/C][C]16171[/C][C]16076.2728073862[/C][C]94.7271926137564[/C][/ROW]
[ROW][C]17[/C][C]15937[/C][C]15798.0691121036[/C][C]138.930887896397[/C][/ROW]
[ROW][C]18[/C][C]15713[/C][C]15559.5426103057[/C][C]153.457389694258[/C][/ROW]
[ROW][C]19[/C][C]15594[/C][C]16823.7277073958[/C][C]-1229.72770739577[/C][/ROW]
[ROW][C]20[/C][C]15683[/C][C]15533.7166358653[/C][C]149.283364134701[/C][/ROW]
[ROW][C]21[/C][C]16438[/C][C]14883.7372210847[/C][C]1554.26277891533[/C][/ROW]
[ROW][C]22[/C][C]17032[/C][C]15974.9812595649[/C][C]1057.01874043512[/C][/ROW]
[ROW][C]23[/C][C]17696[/C][C]17782.119494987[/C][C]-86.1194949869605[/C][/ROW]
[ROW][C]24[/C][C]17745[/C][C]17470.5171076639[/C][C]274.482892336076[/C][/ROW]
[ROW][C]25[/C][C]19394[/C][C]18165.2386096222[/C][C]1228.76139037782[/C][/ROW]
[ROW][C]26[/C][C]20148[/C][C]20284.2813371777[/C][C]-136.281337177661[/C][/ROW]
[ROW][C]27[/C][C]20108[/C][C]19784.1173922728[/C][C]323.882607727217[/C][/ROW]
[ROW][C]28[/C][C]18584[/C][C]20388.1215868341[/C][C]-1804.12158683409[/C][/ROW]
[ROW][C]29[/C][C]18441[/C][C]18583.4361742659[/C][C]-142.436174265898[/C][/ROW]
[ROW][C]30[/C][C]18391[/C][C]18113.6623134266[/C][C]277.337686573439[/C][/ROW]
[ROW][C]31[/C][C]19178[/C][C]19399.4258170136[/C][C]-221.425817013573[/C][/ROW]
[ROW][C]32[/C][C]18079[/C][C]19280.3705972743[/C][C]-1201.37059727426[/C][/ROW]
[ROW][C]33[/C][C]18483[/C][C]17739.5313206564[/C][C]743.468679343609[/C][/ROW]
[ROW][C]34[/C][C]19644[/C][C]18045.9440438363[/C][C]1598.0559561637[/C][/ROW]
[ROW][C]35[/C][C]19195[/C][C]20194.7067486545[/C][C]-999.706748654538[/C][/ROW]
[ROW][C]36[/C][C]19650[/C][C]19187.1453712384[/C][C]462.854628761623[/C][/ROW]
[ROW][C]37[/C][C]20830[/C][C]20267.1571421582[/C][C]562.842857841795[/C][/ROW]
[ROW][C]38[/C][C]23595[/C][C]21617.9561405674[/C][C]1977.04385943264[/C][/ROW]
[ROW][C]39[/C][C]22937[/C][C]22906.270793313[/C][C]30.7292066869595[/C][/ROW]
[ROW][C]40[/C][C]21814[/C][C]22854.2970962679[/C][C]-1040.29709626792[/C][/ROW]
[ROW][C]41[/C][C]21928[/C][C]22036.523182401[/C][C]-108.523182400986[/C][/ROW]
[ROW][C]42[/C][C]21777[/C][C]21678.9926122309[/C][C]98.0073877691466[/C][/ROW]
[ROW][C]43[/C][C]21383[/C][C]22953.1198399603[/C][C]-1570.11983996029[/C][/ROW]
[ROW][C]44[/C][C]21467[/C][C]21533.3512110903[/C][C]-66.351211090263[/C][/ROW]
[ROW][C]45[/C][C]22052[/C][C]21290.9246274714[/C][C]761.075372528609[/C][/ROW]
[ROW][C]46[/C][C]22680[/C][C]21772.2164187407[/C][C]907.783581259286[/C][/ROW]
[ROW][C]47[/C][C]24320[/C][C]22925.1230107501[/C][C]1394.87698924988[/C][/ROW]
[ROW][C]48[/C][C]24977[/C][C]24250.4879120826[/C][C]726.512087917421[/C][/ROW]
[ROW][C]49[/C][C]25204[/C][C]25855.807168598[/C][C]-651.807168598043[/C][/ROW]
[ROW][C]50[/C][C]25739[/C][C]26775.2833638674[/C][C]-1036.2833638674[/C][/ROW]
[ROW][C]51[/C][C]26434[/C][C]25146.2164174611[/C][C]1287.78358253885[/C][/ROW]
[ROW][C]52[/C][C]27525[/C][C]25857.9406595961[/C][C]1667.05934040385[/C][/ROW]
[ROW][C]53[/C][C]30695[/C][C]27545.775993465[/C][C]3149.22400653503[/C][/ROW]
[ROW][C]54[/C][C]32436[/C][C]29963.6984070832[/C][C]2472.30159291681[/C][/ROW]
[ROW][C]55[/C][C]30160[/C][C]33490.5159313452[/C][C]-3330.5159313452[/C][/ROW]
[ROW][C]56[/C][C]30236[/C][C]31219.031903182[/C][C]-983.031903181985[/C][/ROW]
[ROW][C]57[/C][C]31293[/C][C]30567.4040801462[/C][C]725.595919853771[/C][/ROW]
[ROW][C]58[/C][C]31077[/C][C]31174.6265685892[/C][C]-97.626568589174[/C][/ROW]
[ROW][C]59[/C][C]32226[/C][C]31914.283426123[/C][C]311.716573876969[/C][/ROW]
[ROW][C]60[/C][C]33865[/C][C]32338.4654570235[/C][C]1526.53454297652[/C][/ROW]
[ROW][C]61[/C][C]32810[/C][C]34687.7878220401[/C][C]-1877.78782204006[/C][/ROW]
[ROW][C]62[/C][C]32242[/C][C]35041.5558079968[/C][C]-2799.55580799683[/C][/ROW]
[ROW][C]63[/C][C]32700[/C][C]32348.1411361482[/C][C]351.858863851827[/C][/ROW]
[ROW][C]64[/C][C]32819[/C][C]32283.520450614[/C][C]535.479549385975[/C][/ROW]
[ROW][C]65[/C][C]33947[/C][C]33339.0582727946[/C][C]607.941727205391[/C][/ROW]
[ROW][C]66[/C][C]34148[/C][C]33376.8975300232[/C][C]771.102469976795[/C][/ROW]
[ROW][C]67[/C][C]35261[/C][C]34203.2095336903[/C][C]1057.79046630974[/C][/ROW]
[ROW][C]68[/C][C]39506[/C][C]36009.7786326968[/C][C]3496.22136730315[/C][/ROW]
[ROW][C]69[/C][C]41591[/C][C]39512.8140826866[/C][C]2078.18591731336[/C][/ROW]
[ROW][C]70[/C][C]39148[/C][C]41116.2647384111[/C][C]-1968.26473841108[/C][/ROW]
[ROW][C]71[/C][C]41216[/C][C]40712.1178795365[/C][C]503.882120463517[/C][/ROW]
[ROW][C]72[/C][C]40225[/C][C]41672.6791013547[/C][C]-1447.67910135468[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205488&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205488&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
131557915454.8089922599124.191007740068
141634816400.3568648049-52.3568648048931
151592815936.5540171057-8.55401710571641
161617116076.272807386294.7271926137564
171593715798.0691121036138.930887896397
181571315559.5426103057153.457389694258
191559416823.7277073958-1229.72770739577
201568315533.7166358653149.283364134701
211643814883.73722108471554.26277891533
221703215974.98125956491057.01874043512
231769617782.119494987-86.1194949869605
241774517470.5171076639274.482892336076
251939418165.23860962221228.76139037782
262014820284.2813371777-136.281337177661
272010819784.1173922728323.882607727217
281858420388.1215868341-1804.12158683409
291844118583.4361742659-142.436174265898
301839118113.6623134266277.337686573439
311917819399.4258170136-221.425817013573
321807919280.3705972743-1201.37059727426
331848317739.5313206564743.468679343609
341964418045.94404383631598.0559561637
351919520194.7067486545-999.706748654538
361965019187.1453712384462.854628761623
372083020267.1571421582562.842857841795
382359521617.95614056741977.04385943264
392293722906.27079331330.7292066869595
402181422854.2970962679-1040.29709626792
412192822036.523182401-108.523182400986
422177721678.992612230998.0073877691466
432138322953.1198399603-1570.11983996029
442146721533.3512110903-66.351211090263
452205221290.9246274714761.075372528609
462268021772.2164187407907.783581259286
472432022925.12301075011394.87698924988
482497724250.4879120826726.512087917421
492520425855.807168598-651.807168598043
502573926775.2833638674-1036.2833638674
512643425146.21641746111287.78358253885
522752525857.94065959611667.05934040385
533069527545.7759934653149.22400653503
543243629963.69840708322472.30159291681
553016033490.5159313452-3330.5159313452
563023631219.031903182-983.031903181985
573129330567.4040801462725.595919853771
583107731174.6265685892-97.626568589174
593222631914.283426123311.716573876969
603386532338.46545702351526.53454297652
613281034687.7878220401-1877.78782204006
623224235041.5558079968-2799.55580799683
633270032348.1411361482351.858863851827
643281932283.520450614535.479549385975
653394733339.0582727946607.941727205391
663414833376.8975300232771.102469976795
673526134203.20953369031057.79046630974
683950636009.77863269683496.22136730315
694159139512.81408268662078.18591731336
703914841116.2647384111-1968.26473841108
714121640712.1178795365503.882120463517
724022541672.6791013547-1447.67910135468







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7340997.301695385338461.312698787643533.290691983
7443097.448395333239719.588845185846475.3079454806
7543455.196548111739405.193853665247505.1992425583
7643144.851821707638527.142256254847762.5613871603
7744066.25624765938810.60536405149321.9071312669
7843575.017678917837847.920162732749302.115195103
7943927.934936052937653.237201326250202.6326707795
8045622.233640900738633.345117859352611.1221639422
8145944.704950827538434.472363885753454.9375377692
8244812.76495237637013.481909625852612.0479951263
8346591.987797545638035.9892901155147.9863049811
8446655.388069711437999.713323647855311.062815775

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 40997.3016953853 & 38461.3126987876 & 43533.290691983 \tabularnewline
74 & 43097.4483953332 & 39719.5888451858 & 46475.3079454806 \tabularnewline
75 & 43455.1965481117 & 39405.1938536652 & 47505.1992425583 \tabularnewline
76 & 43144.8518217076 & 38527.1422562548 & 47762.5613871603 \tabularnewline
77 & 44066.256247659 & 38810.605364051 & 49321.9071312669 \tabularnewline
78 & 43575.0176789178 & 37847.9201627327 & 49302.115195103 \tabularnewline
79 & 43927.9349360529 & 37653.2372013262 & 50202.6326707795 \tabularnewline
80 & 45622.2336409007 & 38633.3451178593 & 52611.1221639422 \tabularnewline
81 & 45944.7049508275 & 38434.4723638857 & 53454.9375377692 \tabularnewline
82 & 44812.764952376 & 37013.4819096258 & 52612.0479951263 \tabularnewline
83 & 46591.9877975456 & 38035.98929011 & 55147.9863049811 \tabularnewline
84 & 46655.3880697114 & 37999.7133236478 & 55311.062815775 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205488&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]40997.3016953853[/C][C]38461.3126987876[/C][C]43533.290691983[/C][/ROW]
[ROW][C]74[/C][C]43097.4483953332[/C][C]39719.5888451858[/C][C]46475.3079454806[/C][/ROW]
[ROW][C]75[/C][C]43455.1965481117[/C][C]39405.1938536652[/C][C]47505.1992425583[/C][/ROW]
[ROW][C]76[/C][C]43144.8518217076[/C][C]38527.1422562548[/C][C]47762.5613871603[/C][/ROW]
[ROW][C]77[/C][C]44066.256247659[/C][C]38810.605364051[/C][C]49321.9071312669[/C][/ROW]
[ROW][C]78[/C][C]43575.0176789178[/C][C]37847.9201627327[/C][C]49302.115195103[/C][/ROW]
[ROW][C]79[/C][C]43927.9349360529[/C][C]37653.2372013262[/C][C]50202.6326707795[/C][/ROW]
[ROW][C]80[/C][C]45622.2336409007[/C][C]38633.3451178593[/C][C]52611.1221639422[/C][/ROW]
[ROW][C]81[/C][C]45944.7049508275[/C][C]38434.4723638857[/C][C]53454.9375377692[/C][/ROW]
[ROW][C]82[/C][C]44812.764952376[/C][C]37013.4819096258[/C][C]52612.0479951263[/C][/ROW]
[ROW][C]83[/C][C]46591.9877975456[/C][C]38035.98929011[/C][C]55147.9863049811[/C][/ROW]
[ROW][C]84[/C][C]46655.3880697114[/C][C]37999.7133236478[/C][C]55311.062815775[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205488&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205488&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
7340997.301695385338461.312698787643533.290691983
7443097.448395333239719.588845185846475.3079454806
7543455.196548111739405.193853665247505.1992425583
7643144.851821707638527.142256254847762.5613871603
7744066.25624765938810.60536405149321.9071312669
7843575.017678917837847.920162732749302.115195103
7943927.934936052937653.237201326250202.6326707795
8045622.233640900738633.345117859352611.1221639422
8145944.704950827538434.472363885753454.9375377692
8244812.76495237637013.481909625852612.0479951263
8346591.987797545638035.9892901155147.9863049811
8446655.388069711437999.713323647855311.062815775



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')