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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 19 Dec 2010 20:22:31 +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/Dec/19/t12927901002sgovgux0fpje4o.htm/, Retrieved Sun, 05 May 2024 12:36:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112736, Retrieved Sun, 05 May 2024 12:36:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
-  M D  [Exponential Smoothing] [exponential smoot...] [2010-11-29 09:42:21] [95e8426e0df851c9330605aa1e892ab5]
-    D    [Exponential Smoothing] [exponential smoot...] [2010-12-18 19:54:43] [95e8426e0df851c9330605aa1e892ab5]
-   P         [Exponential Smoothing] [ES faillissemten] [2010-12-19 20:22:31] [dc77c696707133dea0955379c56a2acd] [Current]
Feedback Forum

Post a new message
Dataseries X:
46
62
66
59
58
61
41
27
58
70
49
59
44
36
72
45
56
54
53
35
61
52
47
51
52
63
74
45
51
64
36
30
55
64
39
40
63
45
59
55
40
64
27
28
45
57
45
69
60
56
58
50
51
53
37
22
55
70
62
58
39
49
58
47
42
62
39
40
72
70
54
65




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112736&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112736&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112736&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.00799336056445855
beta1
gamma0.270233270298647

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.00799336056445855 \tabularnewline
beta & 1 \tabularnewline
gamma & 0.270233270298647 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112736&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]0.00799336056445855[/C][/ROW]
[ROW][C]beta[/C][C]1[/C][/ROW]
[ROW][C]gamma[/C][C]0.270233270298647[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112736&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112736&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
alpha0.00799336056445855
beta1
gamma0.270233270298647







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
134447.1768162393162-3.17681623931624
143638.0837799467711-2.08377994677107
157273.3578242829707-1.35782428297071
164546.7101511988013-1.71015119880129
175658.2543253167386-2.25432531673864
185456.3594633529885-2.35946335298853
195339.278234275019913.7217657249801
203526.35189794707868.6481020529214
216158.12080006059762.87919993940236
225270.366603742715-18.3666037427151
234749.6291045027929-2.62910450279289
245159.7047187217592-8.70471872175918
255243.22723578714568.7727642128544
266334.479213567512728.5207864324873
277470.39361686125953.60638313874053
284543.93197214049781.06802785950217
295155.6154788027958-4.61547880279583
306453.917689100757910.0823108992421
313641.5904402126777-5.59044021267772
323027.33883387637192.66116612362814
335557.6547491391568-2.65474913915676
346464.258009503665-0.25800950366505
353948.1259311418164-9.12593114181636
364056.71084366957-16.71084366957
376344.980552919329918.0194470806701
384541.80021359595263.19978640404735
395970.8307886969427-11.8307886969427
405543.439344662641911.5606553373581
414053.6410588108799-13.6410588108799
426455.69699511201998.30300488798012
432739.0256436623309-12.0256436623309
442826.75475861516051.24524138483948
454555.4431091661056-10.4431091661056
465762.3731685421579-5.37316854215789
474543.52861596491661.47138403508336
486949.955298265979519.0447017340205
496047.897254941831412.1027450581686
505640.725753456493915.2742465435061
515865.9489512508591-7.94895125085908
525045.01558580513114.98441419486888
535148.51269375128442.48730624871565
545356.812949246775-3.81294924677496
553734.73112159940652.26887840059351
562226.3822645163909-4.38226451639095
575552.09751428032652.90248571967355
587060.80525657069789.19474342930218
596244.340329804143517.6596701958565
605856.16508333957421.83491666042578
613952.5286963972783-13.5286963972783
624946.21779967991592.78220032008407
635865.2310652813551-7.23106528135507
644747.8917032636376-0.891703263637588
654250.7466401113247-8.74664011132474
666257.25257853899724.74742146100277
673936.92238769702052.0776123029795
684026.840315428538613.1596845714614
697254.840156563174717.1598434368253
707065.65413885616044.34586114383961
715451.68640450541462.31359549458541
726559.2903636193935.70963638060702

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 44 & 47.1768162393162 & -3.17681623931624 \tabularnewline
14 & 36 & 38.0837799467711 & -2.08377994677107 \tabularnewline
15 & 72 & 73.3578242829707 & -1.35782428297071 \tabularnewline
16 & 45 & 46.7101511988013 & -1.71015119880129 \tabularnewline
17 & 56 & 58.2543253167386 & -2.25432531673864 \tabularnewline
18 & 54 & 56.3594633529885 & -2.35946335298853 \tabularnewline
19 & 53 & 39.2782342750199 & 13.7217657249801 \tabularnewline
20 & 35 & 26.3518979470786 & 8.6481020529214 \tabularnewline
21 & 61 & 58.1208000605976 & 2.87919993940236 \tabularnewline
22 & 52 & 70.366603742715 & -18.3666037427151 \tabularnewline
23 & 47 & 49.6291045027929 & -2.62910450279289 \tabularnewline
24 & 51 & 59.7047187217592 & -8.70471872175918 \tabularnewline
25 & 52 & 43.2272357871456 & 8.7727642128544 \tabularnewline
26 & 63 & 34.4792135675127 & 28.5207864324873 \tabularnewline
27 & 74 & 70.3936168612595 & 3.60638313874053 \tabularnewline
28 & 45 & 43.9319721404978 & 1.06802785950217 \tabularnewline
29 & 51 & 55.6154788027958 & -4.61547880279583 \tabularnewline
30 & 64 & 53.9176891007579 & 10.0823108992421 \tabularnewline
31 & 36 & 41.5904402126777 & -5.59044021267772 \tabularnewline
32 & 30 & 27.3388338763719 & 2.66116612362814 \tabularnewline
33 & 55 & 57.6547491391568 & -2.65474913915676 \tabularnewline
34 & 64 & 64.258009503665 & -0.25800950366505 \tabularnewline
35 & 39 & 48.1259311418164 & -9.12593114181636 \tabularnewline
36 & 40 & 56.71084366957 & -16.71084366957 \tabularnewline
37 & 63 & 44.9805529193299 & 18.0194470806701 \tabularnewline
38 & 45 & 41.8002135959526 & 3.19978640404735 \tabularnewline
39 & 59 & 70.8307886969427 & -11.8307886969427 \tabularnewline
40 & 55 & 43.4393446626419 & 11.5606553373581 \tabularnewline
41 & 40 & 53.6410588108799 & -13.6410588108799 \tabularnewline
42 & 64 & 55.6969951120199 & 8.30300488798012 \tabularnewline
43 & 27 & 39.0256436623309 & -12.0256436623309 \tabularnewline
44 & 28 & 26.7547586151605 & 1.24524138483948 \tabularnewline
45 & 45 & 55.4431091661056 & -10.4431091661056 \tabularnewline
46 & 57 & 62.3731685421579 & -5.37316854215789 \tabularnewline
47 & 45 & 43.5286159649166 & 1.47138403508336 \tabularnewline
48 & 69 & 49.9552982659795 & 19.0447017340205 \tabularnewline
49 & 60 & 47.8972549418314 & 12.1027450581686 \tabularnewline
50 & 56 & 40.7257534564939 & 15.2742465435061 \tabularnewline
51 & 58 & 65.9489512508591 & -7.94895125085908 \tabularnewline
52 & 50 & 45.0155858051311 & 4.98441419486888 \tabularnewline
53 & 51 & 48.5126937512844 & 2.48730624871565 \tabularnewline
54 & 53 & 56.812949246775 & -3.81294924677496 \tabularnewline
55 & 37 & 34.7311215994065 & 2.26887840059351 \tabularnewline
56 & 22 & 26.3822645163909 & -4.38226451639095 \tabularnewline
57 & 55 & 52.0975142803265 & 2.90248571967355 \tabularnewline
58 & 70 & 60.8052565706978 & 9.19474342930218 \tabularnewline
59 & 62 & 44.3403298041435 & 17.6596701958565 \tabularnewline
60 & 58 & 56.1650833395742 & 1.83491666042578 \tabularnewline
61 & 39 & 52.5286963972783 & -13.5286963972783 \tabularnewline
62 & 49 & 46.2177996799159 & 2.78220032008407 \tabularnewline
63 & 58 & 65.2310652813551 & -7.23106528135507 \tabularnewline
64 & 47 & 47.8917032636376 & -0.891703263637588 \tabularnewline
65 & 42 & 50.7466401113247 & -8.74664011132474 \tabularnewline
66 & 62 & 57.2525785389972 & 4.74742146100277 \tabularnewline
67 & 39 & 36.9223876970205 & 2.0776123029795 \tabularnewline
68 & 40 & 26.8403154285386 & 13.1596845714614 \tabularnewline
69 & 72 & 54.8401565631747 & 17.1598434368253 \tabularnewline
70 & 70 & 65.6541388561604 & 4.34586114383961 \tabularnewline
71 & 54 & 51.6864045054146 & 2.31359549458541 \tabularnewline
72 & 65 & 59.290363619393 & 5.70963638060702 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112736&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]44[/C][C]47.1768162393162[/C][C]-3.17681623931624[/C][/ROW]
[ROW][C]14[/C][C]36[/C][C]38.0837799467711[/C][C]-2.08377994677107[/C][/ROW]
[ROW][C]15[/C][C]72[/C][C]73.3578242829707[/C][C]-1.35782428297071[/C][/ROW]
[ROW][C]16[/C][C]45[/C][C]46.7101511988013[/C][C]-1.71015119880129[/C][/ROW]
[ROW][C]17[/C][C]56[/C][C]58.2543253167386[/C][C]-2.25432531673864[/C][/ROW]
[ROW][C]18[/C][C]54[/C][C]56.3594633529885[/C][C]-2.35946335298853[/C][/ROW]
[ROW][C]19[/C][C]53[/C][C]39.2782342750199[/C][C]13.7217657249801[/C][/ROW]
[ROW][C]20[/C][C]35[/C][C]26.3518979470786[/C][C]8.6481020529214[/C][/ROW]
[ROW][C]21[/C][C]61[/C][C]58.1208000605976[/C][C]2.87919993940236[/C][/ROW]
[ROW][C]22[/C][C]52[/C][C]70.366603742715[/C][C]-18.3666037427151[/C][/ROW]
[ROW][C]23[/C][C]47[/C][C]49.6291045027929[/C][C]-2.62910450279289[/C][/ROW]
[ROW][C]24[/C][C]51[/C][C]59.7047187217592[/C][C]-8.70471872175918[/C][/ROW]
[ROW][C]25[/C][C]52[/C][C]43.2272357871456[/C][C]8.7727642128544[/C][/ROW]
[ROW][C]26[/C][C]63[/C][C]34.4792135675127[/C][C]28.5207864324873[/C][/ROW]
[ROW][C]27[/C][C]74[/C][C]70.3936168612595[/C][C]3.60638313874053[/C][/ROW]
[ROW][C]28[/C][C]45[/C][C]43.9319721404978[/C][C]1.06802785950217[/C][/ROW]
[ROW][C]29[/C][C]51[/C][C]55.6154788027958[/C][C]-4.61547880279583[/C][/ROW]
[ROW][C]30[/C][C]64[/C][C]53.9176891007579[/C][C]10.0823108992421[/C][/ROW]
[ROW][C]31[/C][C]36[/C][C]41.5904402126777[/C][C]-5.59044021267772[/C][/ROW]
[ROW][C]32[/C][C]30[/C][C]27.3388338763719[/C][C]2.66116612362814[/C][/ROW]
[ROW][C]33[/C][C]55[/C][C]57.6547491391568[/C][C]-2.65474913915676[/C][/ROW]
[ROW][C]34[/C][C]64[/C][C]64.258009503665[/C][C]-0.25800950366505[/C][/ROW]
[ROW][C]35[/C][C]39[/C][C]48.1259311418164[/C][C]-9.12593114181636[/C][/ROW]
[ROW][C]36[/C][C]40[/C][C]56.71084366957[/C][C]-16.71084366957[/C][/ROW]
[ROW][C]37[/C][C]63[/C][C]44.9805529193299[/C][C]18.0194470806701[/C][/ROW]
[ROW][C]38[/C][C]45[/C][C]41.8002135959526[/C][C]3.19978640404735[/C][/ROW]
[ROW][C]39[/C][C]59[/C][C]70.8307886969427[/C][C]-11.8307886969427[/C][/ROW]
[ROW][C]40[/C][C]55[/C][C]43.4393446626419[/C][C]11.5606553373581[/C][/ROW]
[ROW][C]41[/C][C]40[/C][C]53.6410588108799[/C][C]-13.6410588108799[/C][/ROW]
[ROW][C]42[/C][C]64[/C][C]55.6969951120199[/C][C]8.30300488798012[/C][/ROW]
[ROW][C]43[/C][C]27[/C][C]39.0256436623309[/C][C]-12.0256436623309[/C][/ROW]
[ROW][C]44[/C][C]28[/C][C]26.7547586151605[/C][C]1.24524138483948[/C][/ROW]
[ROW][C]45[/C][C]45[/C][C]55.4431091661056[/C][C]-10.4431091661056[/C][/ROW]
[ROW][C]46[/C][C]57[/C][C]62.3731685421579[/C][C]-5.37316854215789[/C][/ROW]
[ROW][C]47[/C][C]45[/C][C]43.5286159649166[/C][C]1.47138403508336[/C][/ROW]
[ROW][C]48[/C][C]69[/C][C]49.9552982659795[/C][C]19.0447017340205[/C][/ROW]
[ROW][C]49[/C][C]60[/C][C]47.8972549418314[/C][C]12.1027450581686[/C][/ROW]
[ROW][C]50[/C][C]56[/C][C]40.7257534564939[/C][C]15.2742465435061[/C][/ROW]
[ROW][C]51[/C][C]58[/C][C]65.9489512508591[/C][C]-7.94895125085908[/C][/ROW]
[ROW][C]52[/C][C]50[/C][C]45.0155858051311[/C][C]4.98441419486888[/C][/ROW]
[ROW][C]53[/C][C]51[/C][C]48.5126937512844[/C][C]2.48730624871565[/C][/ROW]
[ROW][C]54[/C][C]53[/C][C]56.812949246775[/C][C]-3.81294924677496[/C][/ROW]
[ROW][C]55[/C][C]37[/C][C]34.7311215994065[/C][C]2.26887840059351[/C][/ROW]
[ROW][C]56[/C][C]22[/C][C]26.3822645163909[/C][C]-4.38226451639095[/C][/ROW]
[ROW][C]57[/C][C]55[/C][C]52.0975142803265[/C][C]2.90248571967355[/C][/ROW]
[ROW][C]58[/C][C]70[/C][C]60.8052565706978[/C][C]9.19474342930218[/C][/ROW]
[ROW][C]59[/C][C]62[/C][C]44.3403298041435[/C][C]17.6596701958565[/C][/ROW]
[ROW][C]60[/C][C]58[/C][C]56.1650833395742[/C][C]1.83491666042578[/C][/ROW]
[ROW][C]61[/C][C]39[/C][C]52.5286963972783[/C][C]-13.5286963972783[/C][/ROW]
[ROW][C]62[/C][C]49[/C][C]46.2177996799159[/C][C]2.78220032008407[/C][/ROW]
[ROW][C]63[/C][C]58[/C][C]65.2310652813551[/C][C]-7.23106528135507[/C][/ROW]
[ROW][C]64[/C][C]47[/C][C]47.8917032636376[/C][C]-0.891703263637588[/C][/ROW]
[ROW][C]65[/C][C]42[/C][C]50.7466401113247[/C][C]-8.74664011132474[/C][/ROW]
[ROW][C]66[/C][C]62[/C][C]57.2525785389972[/C][C]4.74742146100277[/C][/ROW]
[ROW][C]67[/C][C]39[/C][C]36.9223876970205[/C][C]2.0776123029795[/C][/ROW]
[ROW][C]68[/C][C]40[/C][C]26.8403154285386[/C][C]13.1596845714614[/C][/ROW]
[ROW][C]69[/C][C]72[/C][C]54.8401565631747[/C][C]17.1598434368253[/C][/ROW]
[ROW][C]70[/C][C]70[/C][C]65.6541388561604[/C][C]4.34586114383961[/C][/ROW]
[ROW][C]71[/C][C]54[/C][C]51.6864045054146[/C][C]2.31359549458541[/C][/ROW]
[ROW][C]72[/C][C]65[/C][C]59.290363619393[/C][C]5.70963638060702[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112736&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112736&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
134447.1768162393162-3.17681623931624
143638.0837799467711-2.08377994677107
157273.3578242829707-1.35782428297071
164546.7101511988013-1.71015119880129
175658.2543253167386-2.25432531673864
185456.3594633529885-2.35946335298853
195339.278234275019913.7217657249801
203526.35189794707868.6481020529214
216158.12080006059762.87919993940236
225270.366603742715-18.3666037427151
234749.6291045027929-2.62910450279289
245159.7047187217592-8.70471872175918
255243.22723578714568.7727642128544
266334.479213567512728.5207864324873
277470.39361686125953.60638313874053
284543.93197214049781.06802785950217
295155.6154788027958-4.61547880279583
306453.917689100757910.0823108992421
313641.5904402126777-5.59044021267772
323027.33883387637192.66116612362814
335557.6547491391568-2.65474913915676
346464.258009503665-0.25800950366505
353948.1259311418164-9.12593114181636
364056.71084366957-16.71084366957
376344.980552919329918.0194470806701
384541.80021359595263.19978640404735
395970.8307886969427-11.8307886969427
405543.439344662641911.5606553373581
414053.6410588108799-13.6410588108799
426455.69699511201998.30300488798012
432739.0256436623309-12.0256436623309
442826.75475861516051.24524138483948
454555.4431091661056-10.4431091661056
465762.3731685421579-5.37316854215789
474543.52861596491661.47138403508336
486949.955298265979519.0447017340205
496047.897254941831412.1027450581686
505640.725753456493915.2742465435061
515865.9489512508591-7.94895125085908
525045.01558580513114.98441419486888
535148.51269375128442.48730624871565
545356.812949246775-3.81294924677496
553734.73112159940652.26887840059351
562226.3822645163909-4.38226451639095
575552.09751428032652.90248571967355
587060.80525657069789.19474342930218
596244.340329804143517.6596701958565
605856.16508333957421.83491666042578
613952.5286963972783-13.5286963972783
624946.21779967991592.78220032008407
635865.2310652813551-7.23106528135507
644747.8917032636376-0.891703263637588
654250.7466401113247-8.74664011132474
666257.25257853899724.74742146100277
673936.92238769702052.0776123029795
684026.840315428538613.1596845714614
697254.840156563174717.1598434368253
707065.65413885616044.34586114383961
715451.68640450541462.31359549458541
726559.2903636193935.70963638060702







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7351.741412430345233.079435682006270.4033891786842
7450.194346071982931.529984706287168.8587074376786
7566.762021637280948.09229599614885.4317472784138
7651.498610924871332.819352597782770.1778692519598
7752.580842882274433.886699464857971.274986299691
7863.169873097886644.454315948431281.8854302473421
7942.443862768613423.699198459062261.1885270781646
8035.657215492916916.87460160087654.4398293849578
8164.860237340912146.029703159679283.690771522145
8272.200840221775653.311312874753491.0903675687978
8357.717704468757638.757040802516476.6783681349988
8466.259196904013847.21422140183285.3041724061955

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 51.7414124303452 & 33.0794356820062 & 70.4033891786842 \tabularnewline
74 & 50.1943460719829 & 31.5299847062871 & 68.8587074376786 \tabularnewline
75 & 66.7620216372809 & 48.092295996148 & 85.4317472784138 \tabularnewline
76 & 51.4986109248713 & 32.8193525977827 & 70.1778692519598 \tabularnewline
77 & 52.5808428822744 & 33.8866994648579 & 71.274986299691 \tabularnewline
78 & 63.1698730978866 & 44.4543159484312 & 81.8854302473421 \tabularnewline
79 & 42.4438627686134 & 23.6991984590622 & 61.1885270781646 \tabularnewline
80 & 35.6572154929169 & 16.874601600876 & 54.4398293849578 \tabularnewline
81 & 64.8602373409121 & 46.0297031596792 & 83.690771522145 \tabularnewline
82 & 72.2008402217756 & 53.3113128747534 & 91.0903675687978 \tabularnewline
83 & 57.7177044687576 & 38.7570408025164 & 76.6783681349988 \tabularnewline
84 & 66.2591969040138 & 47.214221401832 & 85.3041724061955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112736&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]51.7414124303452[/C][C]33.0794356820062[/C][C]70.4033891786842[/C][/ROW]
[ROW][C]74[/C][C]50.1943460719829[/C][C]31.5299847062871[/C][C]68.8587074376786[/C][/ROW]
[ROW][C]75[/C][C]66.7620216372809[/C][C]48.092295996148[/C][C]85.4317472784138[/C][/ROW]
[ROW][C]76[/C][C]51.4986109248713[/C][C]32.8193525977827[/C][C]70.1778692519598[/C][/ROW]
[ROW][C]77[/C][C]52.5808428822744[/C][C]33.8866994648579[/C][C]71.274986299691[/C][/ROW]
[ROW][C]78[/C][C]63.1698730978866[/C][C]44.4543159484312[/C][C]81.8854302473421[/C][/ROW]
[ROW][C]79[/C][C]42.4438627686134[/C][C]23.6991984590622[/C][C]61.1885270781646[/C][/ROW]
[ROW][C]80[/C][C]35.6572154929169[/C][C]16.874601600876[/C][C]54.4398293849578[/C][/ROW]
[ROW][C]81[/C][C]64.8602373409121[/C][C]46.0297031596792[/C][C]83.690771522145[/C][/ROW]
[ROW][C]82[/C][C]72.2008402217756[/C][C]53.3113128747534[/C][C]91.0903675687978[/C][/ROW]
[ROW][C]83[/C][C]57.7177044687576[/C][C]38.7570408025164[/C][C]76.6783681349988[/C][/ROW]
[ROW][C]84[/C][C]66.2591969040138[/C][C]47.214221401832[/C][C]85.3041724061955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112736&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112736&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
7351.741412430345233.079435682006270.4033891786842
7450.194346071982931.529984706287168.8587074376786
7566.762021637280948.09229599614885.4317472784138
7651.498610924871332.819352597782770.1778692519598
7752.580842882274433.886699464857971.274986299691
7863.169873097886644.454315948431281.8854302473421
7942.443862768613423.699198459062261.1885270781646
8035.657215492916916.87460160087654.4398293849578
8164.860237340912146.029703159679283.690771522145
8272.200840221775653.311312874753491.0903675687978
8357.717704468757638.757040802516476.6783681349988
8466.259196904013847.21422140183285.3041724061955



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')