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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 computationTue, 01 Jun 2010 08:51:23 +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/2010/Jun/01/t1275382486oxlsw8978oqw8m3.htm/, Retrieved Sat, 27 Apr 2024 23:58:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76802, Retrieved Sat, 27 Apr 2024 23:58:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W61
Estimated Impact184
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2010-06-01 08:51:23] [819ef9efcbdcdc4b312cf90f12d3a4d4] [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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76802&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76802&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76802&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.225645293268414
beta0.000987392360328418
gamma0.443424096464601

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.225645293268414 \tabularnewline
beta & 0.000987392360328418 \tabularnewline
gamma & 0.443424096464601 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76802&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]0.225645293268414[/C][/ROW]
[ROW][C]beta[/C][C]0.000987392360328418[/C][/ROW]
[ROW][C]gamma[/C][C]0.443424096464601[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76802&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76802&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
alpha0.225645293268414
beta0.000987392360328418
gamma0.443424096464601







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133770241487.9961256583-3785.99612565827
143036432384.3135659263-2020.31356592626
153260934048.9003449235-1439.90034492352
163021230953.1156725606-741.115672560583
172996530167.1395456752-202.139545675152
182835228194.2073966200157.792603380043
192581422076.43666590613737.56333409386
202241420801.71448943241612.28551056765
212050621128.5686532066-622.568653206636
222880626754.33510888112051.66489111885
232222822075.9028005779152.09719942206
241397113470.7919101912500.208089808842
253684537059.3137240151-214.313724015083
263533829795.39583259385542.60416740621
273502233348.54129285661673.45870714344
283477731163.6755808983613.32441910198
292688731542.0050931576-4655.0050931576
302397028668.5927624311-4698.59276243109
312278022752.574744840727.4252551592508
321735120061.652401461-2710.65240146099
332138218709.35389209042672.64610790961
342456125499.2125262368-938.212526236843
351740920022.3003500512-2613.30035005117
361151411945.8020671156-431.802067115581
373151431811.4261592257-297.426159225743
382707127135.3806512935-64.3806512935298
392946227863.14396409921598.85603590077
402610526585.9642618321-480.964261832112
412239723768.4658044660-1371.46580446604
422384321869.55173426421973.44826573577
432170519509.00931905272195.99068094733
441808916761.20592048311327.79407951686
452076418040.65011360032723.34988639968
462531623196.74519867042119.25480132960
471770418102.2740810686-398.274081068615
481554811461.24841949954086.75158050045
492802933585.7321923070-5556.73219230705
502938327714.33593642431668.66406357568
513643829460.60678135436977.39321864572
523203428524.46033210153509.53966789855
532267925984.4778564577-3305.47785645768
542431924768.9290462077-449.929046207748
551800421739.111569185-3735.11156918499
561753717326.7906944692210.209305530821
572036618791.38806959711574.61193040290
582278223365.1325770413-583.132577041317
591916917096.73422453732072.26577546265
601380712536.81758758111270.18241241892
612974329375.9445157708367.055484229182
622559127375.9606757846-1784.96067578459
632909629846.2377203062-750.237720306224
642648226330.5427575007151.457242499258
652240521404.03647799641000.96352200358
662704422063.41261627184980.58738372821
671797019291.7487681354-1321.74876813540
681873016844.38845099571885.61154900430
691968419126.6572632209557.342736779075
701978522649.0312084711-2864.03120847110
711847916986.41544496441492.58455503558
721069812281.3703145687-1583.37031456868

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 37702 & 41487.9961256583 & -3785.99612565827 \tabularnewline
14 & 30364 & 32384.3135659263 & -2020.31356592626 \tabularnewline
15 & 32609 & 34048.9003449235 & -1439.90034492352 \tabularnewline
16 & 30212 & 30953.1156725606 & -741.115672560583 \tabularnewline
17 & 29965 & 30167.1395456752 & -202.139545675152 \tabularnewline
18 & 28352 & 28194.2073966200 & 157.792603380043 \tabularnewline
19 & 25814 & 22076.4366659061 & 3737.56333409386 \tabularnewline
20 & 22414 & 20801.7144894324 & 1612.28551056765 \tabularnewline
21 & 20506 & 21128.5686532066 & -622.568653206636 \tabularnewline
22 & 28806 & 26754.3351088811 & 2051.66489111885 \tabularnewline
23 & 22228 & 22075.9028005779 & 152.09719942206 \tabularnewline
24 & 13971 & 13470.7919101912 & 500.208089808842 \tabularnewline
25 & 36845 & 37059.3137240151 & -214.313724015083 \tabularnewline
26 & 35338 & 29795.3958325938 & 5542.60416740621 \tabularnewline
27 & 35022 & 33348.5412928566 & 1673.45870714344 \tabularnewline
28 & 34777 & 31163.675580898 & 3613.32441910198 \tabularnewline
29 & 26887 & 31542.0050931576 & -4655.0050931576 \tabularnewline
30 & 23970 & 28668.5927624311 & -4698.59276243109 \tabularnewline
31 & 22780 & 22752.5747448407 & 27.4252551592508 \tabularnewline
32 & 17351 & 20061.652401461 & -2710.65240146099 \tabularnewline
33 & 21382 & 18709.3538920904 & 2672.64610790961 \tabularnewline
34 & 24561 & 25499.2125262368 & -938.212526236843 \tabularnewline
35 & 17409 & 20022.3003500512 & -2613.30035005117 \tabularnewline
36 & 11514 & 11945.8020671156 & -431.802067115581 \tabularnewline
37 & 31514 & 31811.4261592257 & -297.426159225743 \tabularnewline
38 & 27071 & 27135.3806512935 & -64.3806512935298 \tabularnewline
39 & 29462 & 27863.1439640992 & 1598.85603590077 \tabularnewline
40 & 26105 & 26585.9642618321 & -480.964261832112 \tabularnewline
41 & 22397 & 23768.4658044660 & -1371.46580446604 \tabularnewline
42 & 23843 & 21869.5517342642 & 1973.44826573577 \tabularnewline
43 & 21705 & 19509.0093190527 & 2195.99068094733 \tabularnewline
44 & 18089 & 16761.2059204831 & 1327.79407951686 \tabularnewline
45 & 20764 & 18040.6501136003 & 2723.34988639968 \tabularnewline
46 & 25316 & 23196.7451986704 & 2119.25480132960 \tabularnewline
47 & 17704 & 18102.2740810686 & -398.274081068615 \tabularnewline
48 & 15548 & 11461.2484194995 & 4086.75158050045 \tabularnewline
49 & 28029 & 33585.7321923070 & -5556.73219230705 \tabularnewline
50 & 29383 & 27714.3359364243 & 1668.66406357568 \tabularnewline
51 & 36438 & 29460.6067813543 & 6977.39321864572 \tabularnewline
52 & 32034 & 28524.4603321015 & 3509.53966789855 \tabularnewline
53 & 22679 & 25984.4778564577 & -3305.47785645768 \tabularnewline
54 & 24319 & 24768.9290462077 & -449.929046207748 \tabularnewline
55 & 18004 & 21739.111569185 & -3735.11156918499 \tabularnewline
56 & 17537 & 17326.7906944692 & 210.209305530821 \tabularnewline
57 & 20366 & 18791.3880695971 & 1574.61193040290 \tabularnewline
58 & 22782 & 23365.1325770413 & -583.132577041317 \tabularnewline
59 & 19169 & 17096.7342245373 & 2072.26577546265 \tabularnewline
60 & 13807 & 12536.8175875811 & 1270.18241241892 \tabularnewline
61 & 29743 & 29375.9445157708 & 367.055484229182 \tabularnewline
62 & 25591 & 27375.9606757846 & -1784.96067578459 \tabularnewline
63 & 29096 & 29846.2377203062 & -750.237720306224 \tabularnewline
64 & 26482 & 26330.5427575007 & 151.457242499258 \tabularnewline
65 & 22405 & 21404.0364779964 & 1000.96352200358 \tabularnewline
66 & 27044 & 22063.4126162718 & 4980.58738372821 \tabularnewline
67 & 17970 & 19291.7487681354 & -1321.74876813540 \tabularnewline
68 & 18730 & 16844.3884509957 & 1885.61154900430 \tabularnewline
69 & 19684 & 19126.6572632209 & 557.342736779075 \tabularnewline
70 & 19785 & 22649.0312084711 & -2864.03120847110 \tabularnewline
71 & 18479 & 16986.4154449644 & 1492.58455503558 \tabularnewline
72 & 10698 & 12281.3703145687 & -1583.37031456868 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76802&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]41487.9961256583[/C][C]-3785.99612565827[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]32384.3135659263[/C][C]-2020.31356592626[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]34048.9003449235[/C][C]-1439.90034492352[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]30953.1156725606[/C][C]-741.115672560583[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]30167.1395456752[/C][C]-202.139545675152[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]28194.2073966200[/C][C]157.792603380043[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]22076.4366659061[/C][C]3737.56333409386[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]20801.7144894324[/C][C]1612.28551056765[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]21128.5686532066[/C][C]-622.568653206636[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]26754.3351088811[/C][C]2051.66489111885[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]22075.9028005779[/C][C]152.09719942206[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]13470.7919101912[/C][C]500.208089808842[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]37059.3137240151[/C][C]-214.313724015083[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]29795.3958325938[/C][C]5542.60416740621[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]33348.5412928566[/C][C]1673.45870714344[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]31163.675580898[/C][C]3613.32441910198[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]31542.0050931576[/C][C]-4655.0050931576[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]28668.5927624311[/C][C]-4698.59276243109[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]22752.5747448407[/C][C]27.4252551592508[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]20061.652401461[/C][C]-2710.65240146099[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]18709.3538920904[/C][C]2672.64610790961[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]25499.2125262368[/C][C]-938.212526236843[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]20022.3003500512[/C][C]-2613.30035005117[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]11945.8020671156[/C][C]-431.802067115581[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]31811.4261592257[/C][C]-297.426159225743[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]27135.3806512935[/C][C]-64.3806512935298[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]27863.1439640992[/C][C]1598.85603590077[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]26585.9642618321[/C][C]-480.964261832112[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]23768.4658044660[/C][C]-1371.46580446604[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]21869.5517342642[/C][C]1973.44826573577[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]19509.0093190527[/C][C]2195.99068094733[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]16761.2059204831[/C][C]1327.79407951686[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]18040.6501136003[/C][C]2723.34988639968[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]23196.7451986704[/C][C]2119.25480132960[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]18102.2740810686[/C][C]-398.274081068615[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]11461.2484194995[/C][C]4086.75158050045[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]33585.7321923070[/C][C]-5556.73219230705[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]27714.3359364243[/C][C]1668.66406357568[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]29460.6067813543[/C][C]6977.39321864572[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]28524.4603321015[/C][C]3509.53966789855[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]25984.4778564577[/C][C]-3305.47785645768[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]24768.9290462077[/C][C]-449.929046207748[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]21739.111569185[/C][C]-3735.11156918499[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]17326.7906944692[/C][C]210.209305530821[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]18791.3880695971[/C][C]1574.61193040290[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]23365.1325770413[/C][C]-583.132577041317[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]17096.7342245373[/C][C]2072.26577546265[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]12536.8175875811[/C][C]1270.18241241892[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]29375.9445157708[/C][C]367.055484229182[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]27375.9606757846[/C][C]-1784.96067578459[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]29846.2377203062[/C][C]-750.237720306224[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]26330.5427575007[/C][C]151.457242499258[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]21404.0364779964[/C][C]1000.96352200358[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]22063.4126162718[/C][C]4980.58738372821[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]19291.7487681354[/C][C]-1321.74876813540[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]16844.3884509957[/C][C]1885.61154900430[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]19126.6572632209[/C][C]557.342736779075[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]22649.0312084711[/C][C]-2864.03120847110[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]16986.4154449644[/C][C]1492.58455503558[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]12281.3703145687[/C][C]-1583.37031456868[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76802&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76802&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
133770241487.9961256583-3785.99612565827
143036432384.3135659263-2020.31356592626
153260934048.9003449235-1439.90034492352
163021230953.1156725606-741.115672560583
172996530167.1395456752-202.139545675152
182835228194.2073966200157.792603380043
192581422076.43666590613737.56333409386
202241420801.71448943241612.28551056765
212050621128.5686532066-622.568653206636
222880626754.33510888112051.66489111885
232222822075.9028005779152.09719942206
241397113470.7919101912500.208089808842
253684537059.3137240151-214.313724015083
263533829795.39583259385542.60416740621
273502233348.54129285661673.45870714344
283477731163.6755808983613.32441910198
292688731542.0050931576-4655.0050931576
302397028668.5927624311-4698.59276243109
312278022752.574744840727.4252551592508
321735120061.652401461-2710.65240146099
332138218709.35389209042672.64610790961
342456125499.2125262368-938.212526236843
351740920022.3003500512-2613.30035005117
361151411945.8020671156-431.802067115581
373151431811.4261592257-297.426159225743
382707127135.3806512935-64.3806512935298
392946227863.14396409921598.85603590077
402610526585.9642618321-480.964261832112
412239723768.4658044660-1371.46580446604
422384321869.55173426421973.44826573577
432170519509.00931905272195.99068094733
441808916761.20592048311327.79407951686
452076418040.65011360032723.34988639968
462531623196.74519867042119.25480132960
471770418102.2740810686-398.274081068615
481554811461.24841949954086.75158050045
492802933585.7321923070-5556.73219230705
502938327714.33593642431668.66406357568
513643829460.60678135436977.39321864572
523203428524.46033210153509.53966789855
532267925984.4778564577-3305.47785645768
542431924768.9290462077-449.929046207748
551800421739.111569185-3735.11156918499
561753717326.7906944692210.209305530821
572036618791.38806959711574.61193040290
582278223365.1325770413-583.132577041317
591916917096.73422453732072.26577546265
601380712536.81758758111270.18241241892
612974329375.9445157708367.055484229182
622559127375.9606757846-1784.96067578459
632909629846.2377203062-750.237720306224
642648226330.5427575007151.457242499258
652240521404.03647799641000.96352200358
662704422063.41261627184980.58738372821
671797019291.7487681354-1321.74876813540
681873016844.38845099571885.61154900430
691968419126.6572632209557.342736779075
701978522649.0312084711-2864.03120847110
711847916986.41544496441492.58455503558
721069812281.3703145687-1583.37031456868







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7326500.469400026423700.500890167429300.4379098855
7423936.429930691820958.012913894326914.8469474893
7526838.754287560223558.733455948530118.7751191718
7624044.394515092420689.163127062227399.6259031225
7719771.041334130616444.482929762423097.5997384987
7821290.888961754417665.054642664324916.7232808446
7916074.261585842912658.628759715319489.8944119704
8015127.007409125711599.807198068518654.2076201830
8116276.306596022612432.098804288920120.5143877562
8218074.023874609013808.728215261922339.3195339562
8315011.181302335311004.409162770919017.9534418996
849844.603480536377800.629960171711888.5770009010

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 26500.4694000264 & 23700.5008901674 & 29300.4379098855 \tabularnewline
74 & 23936.4299306918 & 20958.0129138943 & 26914.8469474893 \tabularnewline
75 & 26838.7542875602 & 23558.7334559485 & 30118.7751191718 \tabularnewline
76 & 24044.3945150924 & 20689.1631270622 & 27399.6259031225 \tabularnewline
77 & 19771.0413341306 & 16444.4829297624 & 23097.5997384987 \tabularnewline
78 & 21290.8889617544 & 17665.0546426643 & 24916.7232808446 \tabularnewline
79 & 16074.2615858429 & 12658.6287597153 & 19489.8944119704 \tabularnewline
80 & 15127.0074091257 & 11599.8071980685 & 18654.2076201830 \tabularnewline
81 & 16276.3065960226 & 12432.0988042889 & 20120.5143877562 \tabularnewline
82 & 18074.0238746090 & 13808.7282152619 & 22339.3195339562 \tabularnewline
83 & 15011.1813023353 & 11004.4091627709 & 19017.9534418996 \tabularnewline
84 & 9844.60348053637 & 7800.6299601717 & 11888.5770009010 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76802&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]26500.4694000264[/C][C]23700.5008901674[/C][C]29300.4379098855[/C][/ROW]
[ROW][C]74[/C][C]23936.4299306918[/C][C]20958.0129138943[/C][C]26914.8469474893[/C][/ROW]
[ROW][C]75[/C][C]26838.7542875602[/C][C]23558.7334559485[/C][C]30118.7751191718[/C][/ROW]
[ROW][C]76[/C][C]24044.3945150924[/C][C]20689.1631270622[/C][C]27399.6259031225[/C][/ROW]
[ROW][C]77[/C][C]19771.0413341306[/C][C]16444.4829297624[/C][C]23097.5997384987[/C][/ROW]
[ROW][C]78[/C][C]21290.8889617544[/C][C]17665.0546426643[/C][C]24916.7232808446[/C][/ROW]
[ROW][C]79[/C][C]16074.2615858429[/C][C]12658.6287597153[/C][C]19489.8944119704[/C][/ROW]
[ROW][C]80[/C][C]15127.0074091257[/C][C]11599.8071980685[/C][C]18654.2076201830[/C][/ROW]
[ROW][C]81[/C][C]16276.3065960226[/C][C]12432.0988042889[/C][C]20120.5143877562[/C][/ROW]
[ROW][C]82[/C][C]18074.0238746090[/C][C]13808.7282152619[/C][C]22339.3195339562[/C][/ROW]
[ROW][C]83[/C][C]15011.1813023353[/C][C]11004.4091627709[/C][C]19017.9534418996[/C][/ROW]
[ROW][C]84[/C][C]9844.60348053637[/C][C]7800.6299601717[/C][C]11888.5770009010[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76802&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76802&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
7326500.469400026423700.500890167429300.4379098855
7423936.429930691820958.012913894326914.8469474893
7526838.754287560223558.733455948530118.7751191718
7624044.394515092420689.163127062227399.6259031225
7719771.041334130616444.482929762423097.5997384987
7821290.888961754417665.054642664324916.7232808446
7916074.261585842912658.628759715319489.8944119704
8015127.007409125711599.807198068518654.2076201830
8116276.306596022612432.098804288920120.5143877562
8218074.023874609013808.728215261922339.3195339562
8315011.181302335311004.409162770919017.9534418996
849844.603480536377800.629960171711888.5770009010



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')