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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 28 May 2012 06:35:48 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/28/t1338201527dl5abv6y3yqccbs.htm/, Retrieved Thu, 02 May 2024 02:30:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167778, Retrieved Thu, 02 May 2024 02:30:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [opdracht 10 deel 2] [2012-05-21 17:42:08] [a23b71380c738c5ecd118524e86d7af0]
- R P     [Exponential Smoothing] [opdracht 10 deel ...] [2012-05-28 10:35:48] [e5023936a4a44f1411ffe7f6ed888868] [Current]
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Dataseries X:
128.27
128.38
128.47
128.52
128.71
128.92
128.92
128.82
128.97
129.04
128.95
129.39
129.39
129.48
130.16
129.89
129.85
129.9
129.9
129.57
129.54
129.57
128.97
129.01
129.01
128.72
128.32
128.39
128.33
128.44
128.44
128.6
128.3
128.56
128.01
128.01
128.01
128.26
128.38
128.36
128.48
128.46
128.46
129.56
129.66
129.47
129.41
129.48
129.48
130.17
129.77
129.87
129.97
130.05
130.05
129.89
130.33
130.6
131.46
131.73




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167778&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167778&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167778&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.854791909129612
beta0.144241866423662
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.854791909129612 \tabularnewline
beta & 0.144241866423662 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167778&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]0.854791909129612[/C][/ROW]
[ROW][C]beta[/C][C]0.144241866423662[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167778&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167778&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
alpha0.854791909129612
beta0.144241866423662
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3128.47128.49-0.0199999999999818
4128.52128.58043822621-0.0604382262098682
5128.71128.6288583451330.0811416548673662
6128.92128.8083043056950.111695694304643
7128.92129.02763933145-0.107639331449974
8128.82129.046216968791-0.226216968791107
9128.97128.9355435772110.0344564227891624
10129.04129.051940057672-0.0119400576719499
11128.95129.127205031354-0.177205031354362
12129.39129.0393540328380.350645967162023
13129.39129.445939315883-0.0559393158825401
14129.48129.498081651065-0.018081651064648
15130.16129.5803550024710.579644997528533
16129.89130.245028618924-0.355028618923626
17129.85130.066976904701-0.216976904700687
18129.9129.980178125071-0.080178125071285
19129.9130.00042813077-0.100428130769956
20129.57129.990986130254-0.42098613025442
21129.54129.655627510929-0.115627510929158
22129.57129.5670304689660.00296953103440956
23128.97129.580175352535-0.610175352534952
24129.01128.9939762940720.0160237059277506
25129.01128.9450227956390.0649772043613552
26128.72128.945925831685-0.225925831685288
27128.32128.670311378527-0.350311378527294
28128.39128.2451809012140.144819098785632
29128.33128.2611396784890.068860321510698
30128.44128.220659763460.21934023653975
31128.44128.3358528072570.104147192743028
32128.6128.3654207827790.234579217221295
33128.3128.535403859743-0.235403859742519
34128.56128.2746246670950.285375332904664
35128.01128.494189174512-0.484189174512096
36128.01127.9962372011250.0137627988749074
37128.01127.9256274545150.0843725454853228
38128.26127.9257772112230.334222788776941
39128.38128.1807055281760.199294471824118
40128.36128.3448705782080.0151294217922384
41128.48128.3534782425240.126521757476098
42128.46128.472902899466-0.0129028994660132
43128.46128.471557601759-0.011557601759165
44129.56128.4699372385621.09006276143825
45129.66129.5443742776520.115625722348227
46129.47129.800126699066-0.330126699065687
47129.41129.634149998069-0.224149998068867
48129.48129.531124350557-0.0511243505570462
49129.48129.569696158788-0.0896961587876888
50130.17129.5642378498320.605762150168374
51129.77130.227940199298-0.45794019929798
52129.87129.92593583454-0.055935834539838
53129.97129.9606648399050.00933516009470736
54130.05130.052337958569-0.00233795856914298
55130.05130.133744727081-0.0837447270806138
56129.89130.135240193298-0.245240193297576
57130.33129.9684533153790.36154668462143
58130.6130.364920493440.235079506559515
59131.46130.6822690972160.7777309027841
60131.73131.5593634402750.170636559725239

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 128.47 & 128.49 & -0.0199999999999818 \tabularnewline
4 & 128.52 & 128.58043822621 & -0.0604382262098682 \tabularnewline
5 & 128.71 & 128.628858345133 & 0.0811416548673662 \tabularnewline
6 & 128.92 & 128.808304305695 & 0.111695694304643 \tabularnewline
7 & 128.92 & 129.02763933145 & -0.107639331449974 \tabularnewline
8 & 128.82 & 129.046216968791 & -0.226216968791107 \tabularnewline
9 & 128.97 & 128.935543577211 & 0.0344564227891624 \tabularnewline
10 & 129.04 & 129.051940057672 & -0.0119400576719499 \tabularnewline
11 & 128.95 & 129.127205031354 & -0.177205031354362 \tabularnewline
12 & 129.39 & 129.039354032838 & 0.350645967162023 \tabularnewline
13 & 129.39 & 129.445939315883 & -0.0559393158825401 \tabularnewline
14 & 129.48 & 129.498081651065 & -0.018081651064648 \tabularnewline
15 & 130.16 & 129.580355002471 & 0.579644997528533 \tabularnewline
16 & 129.89 & 130.245028618924 & -0.355028618923626 \tabularnewline
17 & 129.85 & 130.066976904701 & -0.216976904700687 \tabularnewline
18 & 129.9 & 129.980178125071 & -0.080178125071285 \tabularnewline
19 & 129.9 & 130.00042813077 & -0.100428130769956 \tabularnewline
20 & 129.57 & 129.990986130254 & -0.42098613025442 \tabularnewline
21 & 129.54 & 129.655627510929 & -0.115627510929158 \tabularnewline
22 & 129.57 & 129.567030468966 & 0.00296953103440956 \tabularnewline
23 & 128.97 & 129.580175352535 & -0.610175352534952 \tabularnewline
24 & 129.01 & 128.993976294072 & 0.0160237059277506 \tabularnewline
25 & 129.01 & 128.945022795639 & 0.0649772043613552 \tabularnewline
26 & 128.72 & 128.945925831685 & -0.225925831685288 \tabularnewline
27 & 128.32 & 128.670311378527 & -0.350311378527294 \tabularnewline
28 & 128.39 & 128.245180901214 & 0.144819098785632 \tabularnewline
29 & 128.33 & 128.261139678489 & 0.068860321510698 \tabularnewline
30 & 128.44 & 128.22065976346 & 0.21934023653975 \tabularnewline
31 & 128.44 & 128.335852807257 & 0.104147192743028 \tabularnewline
32 & 128.6 & 128.365420782779 & 0.234579217221295 \tabularnewline
33 & 128.3 & 128.535403859743 & -0.235403859742519 \tabularnewline
34 & 128.56 & 128.274624667095 & 0.285375332904664 \tabularnewline
35 & 128.01 & 128.494189174512 & -0.484189174512096 \tabularnewline
36 & 128.01 & 127.996237201125 & 0.0137627988749074 \tabularnewline
37 & 128.01 & 127.925627454515 & 0.0843725454853228 \tabularnewline
38 & 128.26 & 127.925777211223 & 0.334222788776941 \tabularnewline
39 & 128.38 & 128.180705528176 & 0.199294471824118 \tabularnewline
40 & 128.36 & 128.344870578208 & 0.0151294217922384 \tabularnewline
41 & 128.48 & 128.353478242524 & 0.126521757476098 \tabularnewline
42 & 128.46 & 128.472902899466 & -0.0129028994660132 \tabularnewline
43 & 128.46 & 128.471557601759 & -0.011557601759165 \tabularnewline
44 & 129.56 & 128.469937238562 & 1.09006276143825 \tabularnewline
45 & 129.66 & 129.544374277652 & 0.115625722348227 \tabularnewline
46 & 129.47 & 129.800126699066 & -0.330126699065687 \tabularnewline
47 & 129.41 & 129.634149998069 & -0.224149998068867 \tabularnewline
48 & 129.48 & 129.531124350557 & -0.0511243505570462 \tabularnewline
49 & 129.48 & 129.569696158788 & -0.0896961587876888 \tabularnewline
50 & 130.17 & 129.564237849832 & 0.605762150168374 \tabularnewline
51 & 129.77 & 130.227940199298 & -0.45794019929798 \tabularnewline
52 & 129.87 & 129.92593583454 & -0.055935834539838 \tabularnewline
53 & 129.97 & 129.960664839905 & 0.00933516009470736 \tabularnewline
54 & 130.05 & 130.052337958569 & -0.00233795856914298 \tabularnewline
55 & 130.05 & 130.133744727081 & -0.0837447270806138 \tabularnewline
56 & 129.89 & 130.135240193298 & -0.245240193297576 \tabularnewline
57 & 130.33 & 129.968453315379 & 0.36154668462143 \tabularnewline
58 & 130.6 & 130.36492049344 & 0.235079506559515 \tabularnewline
59 & 131.46 & 130.682269097216 & 0.7777309027841 \tabularnewline
60 & 131.73 & 131.559363440275 & 0.170636559725239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167778&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]3[/C][C]128.47[/C][C]128.49[/C][C]-0.0199999999999818[/C][/ROW]
[ROW][C]4[/C][C]128.52[/C][C]128.58043822621[/C][C]-0.0604382262098682[/C][/ROW]
[ROW][C]5[/C][C]128.71[/C][C]128.628858345133[/C][C]0.0811416548673662[/C][/ROW]
[ROW][C]6[/C][C]128.92[/C][C]128.808304305695[/C][C]0.111695694304643[/C][/ROW]
[ROW][C]7[/C][C]128.92[/C][C]129.02763933145[/C][C]-0.107639331449974[/C][/ROW]
[ROW][C]8[/C][C]128.82[/C][C]129.046216968791[/C][C]-0.226216968791107[/C][/ROW]
[ROW][C]9[/C][C]128.97[/C][C]128.935543577211[/C][C]0.0344564227891624[/C][/ROW]
[ROW][C]10[/C][C]129.04[/C][C]129.051940057672[/C][C]-0.0119400576719499[/C][/ROW]
[ROW][C]11[/C][C]128.95[/C][C]129.127205031354[/C][C]-0.177205031354362[/C][/ROW]
[ROW][C]12[/C][C]129.39[/C][C]129.039354032838[/C][C]0.350645967162023[/C][/ROW]
[ROW][C]13[/C][C]129.39[/C][C]129.445939315883[/C][C]-0.0559393158825401[/C][/ROW]
[ROW][C]14[/C][C]129.48[/C][C]129.498081651065[/C][C]-0.018081651064648[/C][/ROW]
[ROW][C]15[/C][C]130.16[/C][C]129.580355002471[/C][C]0.579644997528533[/C][/ROW]
[ROW][C]16[/C][C]129.89[/C][C]130.245028618924[/C][C]-0.355028618923626[/C][/ROW]
[ROW][C]17[/C][C]129.85[/C][C]130.066976904701[/C][C]-0.216976904700687[/C][/ROW]
[ROW][C]18[/C][C]129.9[/C][C]129.980178125071[/C][C]-0.080178125071285[/C][/ROW]
[ROW][C]19[/C][C]129.9[/C][C]130.00042813077[/C][C]-0.100428130769956[/C][/ROW]
[ROW][C]20[/C][C]129.57[/C][C]129.990986130254[/C][C]-0.42098613025442[/C][/ROW]
[ROW][C]21[/C][C]129.54[/C][C]129.655627510929[/C][C]-0.115627510929158[/C][/ROW]
[ROW][C]22[/C][C]129.57[/C][C]129.567030468966[/C][C]0.00296953103440956[/C][/ROW]
[ROW][C]23[/C][C]128.97[/C][C]129.580175352535[/C][C]-0.610175352534952[/C][/ROW]
[ROW][C]24[/C][C]129.01[/C][C]128.993976294072[/C][C]0.0160237059277506[/C][/ROW]
[ROW][C]25[/C][C]129.01[/C][C]128.945022795639[/C][C]0.0649772043613552[/C][/ROW]
[ROW][C]26[/C][C]128.72[/C][C]128.945925831685[/C][C]-0.225925831685288[/C][/ROW]
[ROW][C]27[/C][C]128.32[/C][C]128.670311378527[/C][C]-0.350311378527294[/C][/ROW]
[ROW][C]28[/C][C]128.39[/C][C]128.245180901214[/C][C]0.144819098785632[/C][/ROW]
[ROW][C]29[/C][C]128.33[/C][C]128.261139678489[/C][C]0.068860321510698[/C][/ROW]
[ROW][C]30[/C][C]128.44[/C][C]128.22065976346[/C][C]0.21934023653975[/C][/ROW]
[ROW][C]31[/C][C]128.44[/C][C]128.335852807257[/C][C]0.104147192743028[/C][/ROW]
[ROW][C]32[/C][C]128.6[/C][C]128.365420782779[/C][C]0.234579217221295[/C][/ROW]
[ROW][C]33[/C][C]128.3[/C][C]128.535403859743[/C][C]-0.235403859742519[/C][/ROW]
[ROW][C]34[/C][C]128.56[/C][C]128.274624667095[/C][C]0.285375332904664[/C][/ROW]
[ROW][C]35[/C][C]128.01[/C][C]128.494189174512[/C][C]-0.484189174512096[/C][/ROW]
[ROW][C]36[/C][C]128.01[/C][C]127.996237201125[/C][C]0.0137627988749074[/C][/ROW]
[ROW][C]37[/C][C]128.01[/C][C]127.925627454515[/C][C]0.0843725454853228[/C][/ROW]
[ROW][C]38[/C][C]128.26[/C][C]127.925777211223[/C][C]0.334222788776941[/C][/ROW]
[ROW][C]39[/C][C]128.38[/C][C]128.180705528176[/C][C]0.199294471824118[/C][/ROW]
[ROW][C]40[/C][C]128.36[/C][C]128.344870578208[/C][C]0.0151294217922384[/C][/ROW]
[ROW][C]41[/C][C]128.48[/C][C]128.353478242524[/C][C]0.126521757476098[/C][/ROW]
[ROW][C]42[/C][C]128.46[/C][C]128.472902899466[/C][C]-0.0129028994660132[/C][/ROW]
[ROW][C]43[/C][C]128.46[/C][C]128.471557601759[/C][C]-0.011557601759165[/C][/ROW]
[ROW][C]44[/C][C]129.56[/C][C]128.469937238562[/C][C]1.09006276143825[/C][/ROW]
[ROW][C]45[/C][C]129.66[/C][C]129.544374277652[/C][C]0.115625722348227[/C][/ROW]
[ROW][C]46[/C][C]129.47[/C][C]129.800126699066[/C][C]-0.330126699065687[/C][/ROW]
[ROW][C]47[/C][C]129.41[/C][C]129.634149998069[/C][C]-0.224149998068867[/C][/ROW]
[ROW][C]48[/C][C]129.48[/C][C]129.531124350557[/C][C]-0.0511243505570462[/C][/ROW]
[ROW][C]49[/C][C]129.48[/C][C]129.569696158788[/C][C]-0.0896961587876888[/C][/ROW]
[ROW][C]50[/C][C]130.17[/C][C]129.564237849832[/C][C]0.605762150168374[/C][/ROW]
[ROW][C]51[/C][C]129.77[/C][C]130.227940199298[/C][C]-0.45794019929798[/C][/ROW]
[ROW][C]52[/C][C]129.87[/C][C]129.92593583454[/C][C]-0.055935834539838[/C][/ROW]
[ROW][C]53[/C][C]129.97[/C][C]129.960664839905[/C][C]0.00933516009470736[/C][/ROW]
[ROW][C]54[/C][C]130.05[/C][C]130.052337958569[/C][C]-0.00233795856914298[/C][/ROW]
[ROW][C]55[/C][C]130.05[/C][C]130.133744727081[/C][C]-0.0837447270806138[/C][/ROW]
[ROW][C]56[/C][C]129.89[/C][C]130.135240193298[/C][C]-0.245240193297576[/C][/ROW]
[ROW][C]57[/C][C]130.33[/C][C]129.968453315379[/C][C]0.36154668462143[/C][/ROW]
[ROW][C]58[/C][C]130.6[/C][C]130.36492049344[/C][C]0.235079506559515[/C][/ROW]
[ROW][C]59[/C][C]131.46[/C][C]130.682269097216[/C][C]0.7777309027841[/C][/ROW]
[ROW][C]60[/C][C]131.73[/C][C]131.559363440275[/C][C]0.170636559725239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167778&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167778&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
3128.47128.49-0.0199999999999818
4128.52128.58043822621-0.0604382262098682
5128.71128.6288583451330.0811416548673662
6128.92128.8083043056950.111695694304643
7128.92129.02763933145-0.107639331449974
8128.82129.046216968791-0.226216968791107
9128.97128.9355435772110.0344564227891624
10129.04129.051940057672-0.0119400576719499
11128.95129.127205031354-0.177205031354362
12129.39129.0393540328380.350645967162023
13129.39129.445939315883-0.0559393158825401
14129.48129.498081651065-0.018081651064648
15130.16129.5803550024710.579644997528533
16129.89130.245028618924-0.355028618923626
17129.85130.066976904701-0.216976904700687
18129.9129.980178125071-0.080178125071285
19129.9130.00042813077-0.100428130769956
20129.57129.990986130254-0.42098613025442
21129.54129.655627510929-0.115627510929158
22129.57129.5670304689660.00296953103440956
23128.97129.580175352535-0.610175352534952
24129.01128.9939762940720.0160237059277506
25129.01128.9450227956390.0649772043613552
26128.72128.945925831685-0.225925831685288
27128.32128.670311378527-0.350311378527294
28128.39128.2451809012140.144819098785632
29128.33128.2611396784890.068860321510698
30128.44128.220659763460.21934023653975
31128.44128.3358528072570.104147192743028
32128.6128.3654207827790.234579217221295
33128.3128.535403859743-0.235403859742519
34128.56128.2746246670950.285375332904664
35128.01128.494189174512-0.484189174512096
36128.01127.9962372011250.0137627988749074
37128.01127.9256274545150.0843725454853228
38128.26127.9257772112230.334222788776941
39128.38128.1807055281760.199294471824118
40128.36128.3448705782080.0151294217922384
41128.48128.3534782425240.126521757476098
42128.46128.472902899466-0.0129028994660132
43128.46128.471557601759-0.011557601759165
44129.56128.4699372385621.09006276143825
45129.66129.5443742776520.115625722348227
46129.47129.800126699066-0.330126699065687
47129.41129.634149998069-0.224149998068867
48129.48129.531124350557-0.0511243505570462
49129.48129.569696158788-0.0896961587876888
50130.17129.5642378498320.605762150168374
51129.77130.227940199298-0.45794019929798
52129.87129.92593583454-0.055935834539838
53129.97129.9606648399050.00933516009470736
54130.05130.052337958569-0.00233795856914298
55130.05130.133744727081-0.0837447270806138
56129.89130.135240193298-0.245240193297576
57130.33129.9684533153790.36154668462143
58130.6130.364920493440.235079506559515
59131.46130.6822690972160.7777309027841
60131.73131.5593634402750.170636559725239







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61131.938557389237131.356947120778132.520167657696
62132.171892587545131.358332808433132.985452366657
63132.405227785852131.369747929112133.440707642593
64132.63856298416131.381752575086133.895373393234
65132.871898182468131.390606189812134.353190175124
66133.105233380775131.394542273484134.815924488067
67133.338568579083131.392657086509135.284480071657
68133.57190377739131.384477612693135.759329942088
69133.805238975698131.369764900046136.24071305135
70134.038574174006131.348414583973136.728733764038
71134.271909372313131.320402637201137.223416107426
72134.505244570621131.285754086511137.724735054731

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 131.938557389237 & 131.356947120778 & 132.520167657696 \tabularnewline
62 & 132.171892587545 & 131.358332808433 & 132.985452366657 \tabularnewline
63 & 132.405227785852 & 131.369747929112 & 133.440707642593 \tabularnewline
64 & 132.63856298416 & 131.381752575086 & 133.895373393234 \tabularnewline
65 & 132.871898182468 & 131.390606189812 & 134.353190175124 \tabularnewline
66 & 133.105233380775 & 131.394542273484 & 134.815924488067 \tabularnewline
67 & 133.338568579083 & 131.392657086509 & 135.284480071657 \tabularnewline
68 & 133.57190377739 & 131.384477612693 & 135.759329942088 \tabularnewline
69 & 133.805238975698 & 131.369764900046 & 136.24071305135 \tabularnewline
70 & 134.038574174006 & 131.348414583973 & 136.728733764038 \tabularnewline
71 & 134.271909372313 & 131.320402637201 & 137.223416107426 \tabularnewline
72 & 134.505244570621 & 131.285754086511 & 137.724735054731 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167778&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]61[/C][C]131.938557389237[/C][C]131.356947120778[/C][C]132.520167657696[/C][/ROW]
[ROW][C]62[/C][C]132.171892587545[/C][C]131.358332808433[/C][C]132.985452366657[/C][/ROW]
[ROW][C]63[/C][C]132.405227785852[/C][C]131.369747929112[/C][C]133.440707642593[/C][/ROW]
[ROW][C]64[/C][C]132.63856298416[/C][C]131.381752575086[/C][C]133.895373393234[/C][/ROW]
[ROW][C]65[/C][C]132.871898182468[/C][C]131.390606189812[/C][C]134.353190175124[/C][/ROW]
[ROW][C]66[/C][C]133.105233380775[/C][C]131.394542273484[/C][C]134.815924488067[/C][/ROW]
[ROW][C]67[/C][C]133.338568579083[/C][C]131.392657086509[/C][C]135.284480071657[/C][/ROW]
[ROW][C]68[/C][C]133.57190377739[/C][C]131.384477612693[/C][C]135.759329942088[/C][/ROW]
[ROW][C]69[/C][C]133.805238975698[/C][C]131.369764900046[/C][C]136.24071305135[/C][/ROW]
[ROW][C]70[/C][C]134.038574174006[/C][C]131.348414583973[/C][C]136.728733764038[/C][/ROW]
[ROW][C]71[/C][C]134.271909372313[/C][C]131.320402637201[/C][C]137.223416107426[/C][/ROW]
[ROW][C]72[/C][C]134.505244570621[/C][C]131.285754086511[/C][C]137.724735054731[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167778&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167778&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
61131.938557389237131.356947120778132.520167657696
62132.171892587545131.358332808433132.985452366657
63132.405227785852131.369747929112133.440707642593
64132.63856298416131.381752575086133.895373393234
65132.871898182468131.390606189812134.353190175124
66133.105233380775131.394542273484134.815924488067
67133.338568579083131.392657086509135.284480071657
68133.57190377739131.384477612693135.759329942088
69133.805238975698131.369764900046136.24071305135
70134.038574174006131.348414583973136.728733764038
71134.271909372313131.320402637201137.223416107426
72134.505244570621131.285754086511137.724735054731



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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=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')