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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 30 May 2010 15:34:20 +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/May/30/t1275233741nfvx06s1fzdf6v3.htm/, Retrieved Thu, 02 May 2024 20:08:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76700, Retrieved Thu, 02 May 2024 20:08:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact187
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Paper : Opgave 10...] [2010-05-30 15:34:20] [032b0bef6ff10258e637998f9273e57a] [Current]
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Dataseries X:
121,67
121,65
121,61
121,5
121,41
121,41
121,4
121,38
121,34
121,19
120,96
120,96
120,96
120,9
120,86
120,73
120,53
120,53
120,53
120,52
120,51
120,43
120,29
120,27
120,27
120,24
120,21
120,06
119,86
119,85
119,85
119,83
119,71
119,57
119,2
119,13
119,13
119,09
118,9
118,54
118,12
118,11
118,1
118,08
117,91
117,63
117,28
117,2
117,17
117,14
116,96
116,34
115,99
115,99
115,97
115,92
115,63
115,31
115,13
115,09
115,07
115,01
114,64
113,86
113,34
113,33
113,32
113,26
113,2
112,61
112,28
112,16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76700&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76700&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76700&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0943679107239916
gamma0.561964915342722

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0943679107239916 \tabularnewline
gamma & 0.561964915342722 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76700&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.0943679107239916[/C][/ROW]
[ROW][C]gamma[/C][C]0.561964915342722[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76700&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76700&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
alpha1
beta0.0943679107239916
gamma0.561964915342722







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13120.96121.369898504274-0.409898504273542
14120.9120.8655669862910.0344330137089486
15120.86120.8271496911880.0328503088119732
16120.73120.6960830395310.0339169604693836
17120.53120.4926170455620.0373829544384705
18120.53120.4932281302020.0367718697980735
19120.53120.583364881395-0.0533648813948702
20120.52120.4758289490320.0441710509684299
21120.51120.4516639454930.0583360545073788
22120.43120.338002330410.0919976695903131
23120.29120.1921006249470.0978993750529327
24120.27120.295922517765-0.0259225177653661
25120.27120.273059597256-0.00305959725645266
26120.24120.2119375361220.0280624638776175
27120.21120.2029190655420.00708093445842906
28120.06120.079420611866-0.0194206118657547
29119.86119.8509212626320.00907873736767328
30119.85119.8488613374430.00113866255692585
31119.85119.925635457316-0.075635457316281
32119.83119.8159978972330.014002102767364
33119.71119.778985913083-0.0689859130832389
34119.57119.5433091899290.0266908100705052
35119.2119.331244612578-0.131244612578044
36119.13119.183442666029-0.0534426660286442
37119.13119.1079827266250.0220172733746864
38119.09119.049227117380.0407728826198195
39118.9119.031408102461-0.131408102460512
40118.54118.734840727712-0.194840727712489
41118.12118.279787348648-0.159787348647626
42118.11118.0417918837290.0682081162710233
43118.1118.124895207823-0.0248952078225813
44118.08118.0100458990730.0699541009267364
45117.91117.978313988091-0.0683139880910062
46117.63117.692700673095-0.0627006730949518
47117.28117.332200408241-0.0522004082406511
48117.2117.211857698109-0.0118576981094094
49117.17117.1303220452460.0396779547538557
50117.14117.0432330376050.0967669623952645
51116.96117.040698067006-0.080698067006395
52116.34116.758916092357-0.418916092356895
53115.99116.022717189286-0.0327171892858331
54115.99115.8667130698220.12328693017848
55115.97115.9650140665090.00498593349128384
56115.92115.8429845786350.0770154213647487
57115.63115.78191902971-0.151919029709674
58115.31115.36841608161-0.0584160816100621
59115.13114.9683201447030.161679855297479
60115.09115.0381608681860.0518391318135514
61115.07115.0026361520830.0673638479172212
62115.01114.9281598043360.0818401956643129
63114.64114.894216225947-0.25421622594709
64113.86114.406059705166-0.546059705165703
65113.34113.497862524992-0.157862524991955
66113.33113.160048701660.169951298339782
67113.32113.2527533172760.0672466827239475
68113.26113.1465992462280.113400753772225
69113.2113.0789673051020.121032694897508
70112.61112.921222240983-0.311222240982588
71112.28112.2272695149970.0527304850031243
72112.16112.1368289140310.0231710859685421

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 120.96 & 121.369898504274 & -0.409898504273542 \tabularnewline
14 & 120.9 & 120.865566986291 & 0.0344330137089486 \tabularnewline
15 & 120.86 & 120.827149691188 & 0.0328503088119732 \tabularnewline
16 & 120.73 & 120.696083039531 & 0.0339169604693836 \tabularnewline
17 & 120.53 & 120.492617045562 & 0.0373829544384705 \tabularnewline
18 & 120.53 & 120.493228130202 & 0.0367718697980735 \tabularnewline
19 & 120.53 & 120.583364881395 & -0.0533648813948702 \tabularnewline
20 & 120.52 & 120.475828949032 & 0.0441710509684299 \tabularnewline
21 & 120.51 & 120.451663945493 & 0.0583360545073788 \tabularnewline
22 & 120.43 & 120.33800233041 & 0.0919976695903131 \tabularnewline
23 & 120.29 & 120.192100624947 & 0.0978993750529327 \tabularnewline
24 & 120.27 & 120.295922517765 & -0.0259225177653661 \tabularnewline
25 & 120.27 & 120.273059597256 & -0.00305959725645266 \tabularnewline
26 & 120.24 & 120.211937536122 & 0.0280624638776175 \tabularnewline
27 & 120.21 & 120.202919065542 & 0.00708093445842906 \tabularnewline
28 & 120.06 & 120.079420611866 & -0.0194206118657547 \tabularnewline
29 & 119.86 & 119.850921262632 & 0.00907873736767328 \tabularnewline
30 & 119.85 & 119.848861337443 & 0.00113866255692585 \tabularnewline
31 & 119.85 & 119.925635457316 & -0.075635457316281 \tabularnewline
32 & 119.83 & 119.815997897233 & 0.014002102767364 \tabularnewline
33 & 119.71 & 119.778985913083 & -0.0689859130832389 \tabularnewline
34 & 119.57 & 119.543309189929 & 0.0266908100705052 \tabularnewline
35 & 119.2 & 119.331244612578 & -0.131244612578044 \tabularnewline
36 & 119.13 & 119.183442666029 & -0.0534426660286442 \tabularnewline
37 & 119.13 & 119.107982726625 & 0.0220172733746864 \tabularnewline
38 & 119.09 & 119.04922711738 & 0.0407728826198195 \tabularnewline
39 & 118.9 & 119.031408102461 & -0.131408102460512 \tabularnewline
40 & 118.54 & 118.734840727712 & -0.194840727712489 \tabularnewline
41 & 118.12 & 118.279787348648 & -0.159787348647626 \tabularnewline
42 & 118.11 & 118.041791883729 & 0.0682081162710233 \tabularnewline
43 & 118.1 & 118.124895207823 & -0.0248952078225813 \tabularnewline
44 & 118.08 & 118.010045899073 & 0.0699541009267364 \tabularnewline
45 & 117.91 & 117.978313988091 & -0.0683139880910062 \tabularnewline
46 & 117.63 & 117.692700673095 & -0.0627006730949518 \tabularnewline
47 & 117.28 & 117.332200408241 & -0.0522004082406511 \tabularnewline
48 & 117.2 & 117.211857698109 & -0.0118576981094094 \tabularnewline
49 & 117.17 & 117.130322045246 & 0.0396779547538557 \tabularnewline
50 & 117.14 & 117.043233037605 & 0.0967669623952645 \tabularnewline
51 & 116.96 & 117.040698067006 & -0.080698067006395 \tabularnewline
52 & 116.34 & 116.758916092357 & -0.418916092356895 \tabularnewline
53 & 115.99 & 116.022717189286 & -0.0327171892858331 \tabularnewline
54 & 115.99 & 115.866713069822 & 0.12328693017848 \tabularnewline
55 & 115.97 & 115.965014066509 & 0.00498593349128384 \tabularnewline
56 & 115.92 & 115.842984578635 & 0.0770154213647487 \tabularnewline
57 & 115.63 & 115.78191902971 & -0.151919029709674 \tabularnewline
58 & 115.31 & 115.36841608161 & -0.0584160816100621 \tabularnewline
59 & 115.13 & 114.968320144703 & 0.161679855297479 \tabularnewline
60 & 115.09 & 115.038160868186 & 0.0518391318135514 \tabularnewline
61 & 115.07 & 115.002636152083 & 0.0673638479172212 \tabularnewline
62 & 115.01 & 114.928159804336 & 0.0818401956643129 \tabularnewline
63 & 114.64 & 114.894216225947 & -0.25421622594709 \tabularnewline
64 & 113.86 & 114.406059705166 & -0.546059705165703 \tabularnewline
65 & 113.34 & 113.497862524992 & -0.157862524991955 \tabularnewline
66 & 113.33 & 113.16004870166 & 0.169951298339782 \tabularnewline
67 & 113.32 & 113.252753317276 & 0.0672466827239475 \tabularnewline
68 & 113.26 & 113.146599246228 & 0.113400753772225 \tabularnewline
69 & 113.2 & 113.078967305102 & 0.121032694897508 \tabularnewline
70 & 112.61 & 112.921222240983 & -0.311222240982588 \tabularnewline
71 & 112.28 & 112.227269514997 & 0.0527304850031243 \tabularnewline
72 & 112.16 & 112.136828914031 & 0.0231710859685421 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76700&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]120.96[/C][C]121.369898504274[/C][C]-0.409898504273542[/C][/ROW]
[ROW][C]14[/C][C]120.9[/C][C]120.865566986291[/C][C]0.0344330137089486[/C][/ROW]
[ROW][C]15[/C][C]120.86[/C][C]120.827149691188[/C][C]0.0328503088119732[/C][/ROW]
[ROW][C]16[/C][C]120.73[/C][C]120.696083039531[/C][C]0.0339169604693836[/C][/ROW]
[ROW][C]17[/C][C]120.53[/C][C]120.492617045562[/C][C]0.0373829544384705[/C][/ROW]
[ROW][C]18[/C][C]120.53[/C][C]120.493228130202[/C][C]0.0367718697980735[/C][/ROW]
[ROW][C]19[/C][C]120.53[/C][C]120.583364881395[/C][C]-0.0533648813948702[/C][/ROW]
[ROW][C]20[/C][C]120.52[/C][C]120.475828949032[/C][C]0.0441710509684299[/C][/ROW]
[ROW][C]21[/C][C]120.51[/C][C]120.451663945493[/C][C]0.0583360545073788[/C][/ROW]
[ROW][C]22[/C][C]120.43[/C][C]120.33800233041[/C][C]0.0919976695903131[/C][/ROW]
[ROW][C]23[/C][C]120.29[/C][C]120.192100624947[/C][C]0.0978993750529327[/C][/ROW]
[ROW][C]24[/C][C]120.27[/C][C]120.295922517765[/C][C]-0.0259225177653661[/C][/ROW]
[ROW][C]25[/C][C]120.27[/C][C]120.273059597256[/C][C]-0.00305959725645266[/C][/ROW]
[ROW][C]26[/C][C]120.24[/C][C]120.211937536122[/C][C]0.0280624638776175[/C][/ROW]
[ROW][C]27[/C][C]120.21[/C][C]120.202919065542[/C][C]0.00708093445842906[/C][/ROW]
[ROW][C]28[/C][C]120.06[/C][C]120.079420611866[/C][C]-0.0194206118657547[/C][/ROW]
[ROW][C]29[/C][C]119.86[/C][C]119.850921262632[/C][C]0.00907873736767328[/C][/ROW]
[ROW][C]30[/C][C]119.85[/C][C]119.848861337443[/C][C]0.00113866255692585[/C][/ROW]
[ROW][C]31[/C][C]119.85[/C][C]119.925635457316[/C][C]-0.075635457316281[/C][/ROW]
[ROW][C]32[/C][C]119.83[/C][C]119.815997897233[/C][C]0.014002102767364[/C][/ROW]
[ROW][C]33[/C][C]119.71[/C][C]119.778985913083[/C][C]-0.0689859130832389[/C][/ROW]
[ROW][C]34[/C][C]119.57[/C][C]119.543309189929[/C][C]0.0266908100705052[/C][/ROW]
[ROW][C]35[/C][C]119.2[/C][C]119.331244612578[/C][C]-0.131244612578044[/C][/ROW]
[ROW][C]36[/C][C]119.13[/C][C]119.183442666029[/C][C]-0.0534426660286442[/C][/ROW]
[ROW][C]37[/C][C]119.13[/C][C]119.107982726625[/C][C]0.0220172733746864[/C][/ROW]
[ROW][C]38[/C][C]119.09[/C][C]119.04922711738[/C][C]0.0407728826198195[/C][/ROW]
[ROW][C]39[/C][C]118.9[/C][C]119.031408102461[/C][C]-0.131408102460512[/C][/ROW]
[ROW][C]40[/C][C]118.54[/C][C]118.734840727712[/C][C]-0.194840727712489[/C][/ROW]
[ROW][C]41[/C][C]118.12[/C][C]118.279787348648[/C][C]-0.159787348647626[/C][/ROW]
[ROW][C]42[/C][C]118.11[/C][C]118.041791883729[/C][C]0.0682081162710233[/C][/ROW]
[ROW][C]43[/C][C]118.1[/C][C]118.124895207823[/C][C]-0.0248952078225813[/C][/ROW]
[ROW][C]44[/C][C]118.08[/C][C]118.010045899073[/C][C]0.0699541009267364[/C][/ROW]
[ROW][C]45[/C][C]117.91[/C][C]117.978313988091[/C][C]-0.0683139880910062[/C][/ROW]
[ROW][C]46[/C][C]117.63[/C][C]117.692700673095[/C][C]-0.0627006730949518[/C][/ROW]
[ROW][C]47[/C][C]117.28[/C][C]117.332200408241[/C][C]-0.0522004082406511[/C][/ROW]
[ROW][C]48[/C][C]117.2[/C][C]117.211857698109[/C][C]-0.0118576981094094[/C][/ROW]
[ROW][C]49[/C][C]117.17[/C][C]117.130322045246[/C][C]0.0396779547538557[/C][/ROW]
[ROW][C]50[/C][C]117.14[/C][C]117.043233037605[/C][C]0.0967669623952645[/C][/ROW]
[ROW][C]51[/C][C]116.96[/C][C]117.040698067006[/C][C]-0.080698067006395[/C][/ROW]
[ROW][C]52[/C][C]116.34[/C][C]116.758916092357[/C][C]-0.418916092356895[/C][/ROW]
[ROW][C]53[/C][C]115.99[/C][C]116.022717189286[/C][C]-0.0327171892858331[/C][/ROW]
[ROW][C]54[/C][C]115.99[/C][C]115.866713069822[/C][C]0.12328693017848[/C][/ROW]
[ROW][C]55[/C][C]115.97[/C][C]115.965014066509[/C][C]0.00498593349128384[/C][/ROW]
[ROW][C]56[/C][C]115.92[/C][C]115.842984578635[/C][C]0.0770154213647487[/C][/ROW]
[ROW][C]57[/C][C]115.63[/C][C]115.78191902971[/C][C]-0.151919029709674[/C][/ROW]
[ROW][C]58[/C][C]115.31[/C][C]115.36841608161[/C][C]-0.0584160816100621[/C][/ROW]
[ROW][C]59[/C][C]115.13[/C][C]114.968320144703[/C][C]0.161679855297479[/C][/ROW]
[ROW][C]60[/C][C]115.09[/C][C]115.038160868186[/C][C]0.0518391318135514[/C][/ROW]
[ROW][C]61[/C][C]115.07[/C][C]115.002636152083[/C][C]0.0673638479172212[/C][/ROW]
[ROW][C]62[/C][C]115.01[/C][C]114.928159804336[/C][C]0.0818401956643129[/C][/ROW]
[ROW][C]63[/C][C]114.64[/C][C]114.894216225947[/C][C]-0.25421622594709[/C][/ROW]
[ROW][C]64[/C][C]113.86[/C][C]114.406059705166[/C][C]-0.546059705165703[/C][/ROW]
[ROW][C]65[/C][C]113.34[/C][C]113.497862524992[/C][C]-0.157862524991955[/C][/ROW]
[ROW][C]66[/C][C]113.33[/C][C]113.16004870166[/C][C]0.169951298339782[/C][/ROW]
[ROW][C]67[/C][C]113.32[/C][C]113.252753317276[/C][C]0.0672466827239475[/C][/ROW]
[ROW][C]68[/C][C]113.26[/C][C]113.146599246228[/C][C]0.113400753772225[/C][/ROW]
[ROW][C]69[/C][C]113.2[/C][C]113.078967305102[/C][C]0.121032694897508[/C][/ROW]
[ROW][C]70[/C][C]112.61[/C][C]112.921222240983[/C][C]-0.311222240982588[/C][/ROW]
[ROW][C]71[/C][C]112.28[/C][C]112.227269514997[/C][C]0.0527304850031243[/C][/ROW]
[ROW][C]72[/C][C]112.16[/C][C]112.136828914031[/C][C]0.0231710859685421[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76700&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76700&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
13120.96121.369898504274-0.409898504273542
14120.9120.8655669862910.0344330137089486
15120.86120.8271496911880.0328503088119732
16120.73120.6960830395310.0339169604693836
17120.53120.4926170455620.0373829544384705
18120.53120.4932281302020.0367718697980735
19120.53120.583364881395-0.0533648813948702
20120.52120.4758289490320.0441710509684299
21120.51120.4516639454930.0583360545073788
22120.43120.338002330410.0919976695903131
23120.29120.1921006249470.0978993750529327
24120.27120.295922517765-0.0259225177653661
25120.27120.273059597256-0.00305959725645266
26120.24120.2119375361220.0280624638776175
27120.21120.2029190655420.00708093445842906
28120.06120.079420611866-0.0194206118657547
29119.86119.8509212626320.00907873736767328
30119.85119.8488613374430.00113866255692585
31119.85119.925635457316-0.075635457316281
32119.83119.8159978972330.014002102767364
33119.71119.778985913083-0.0689859130832389
34119.57119.5433091899290.0266908100705052
35119.2119.331244612578-0.131244612578044
36119.13119.183442666029-0.0534426660286442
37119.13119.1079827266250.0220172733746864
38119.09119.049227117380.0407728826198195
39118.9119.031408102461-0.131408102460512
40118.54118.734840727712-0.194840727712489
41118.12118.279787348648-0.159787348647626
42118.11118.0417918837290.0682081162710233
43118.1118.124895207823-0.0248952078225813
44118.08118.0100458990730.0699541009267364
45117.91117.978313988091-0.0683139880910062
46117.63117.692700673095-0.0627006730949518
47117.28117.332200408241-0.0522004082406511
48117.2117.211857698109-0.0118576981094094
49117.17117.1303220452460.0396779547538557
50117.14117.0432330376050.0967669623952645
51116.96117.040698067006-0.080698067006395
52116.34116.758916092357-0.418916092356895
53115.99116.022717189286-0.0327171892858331
54115.99115.8667130698220.12328693017848
55115.97115.9650140665090.00498593349128384
56115.92115.8429845786350.0770154213647487
57115.63115.78191902971-0.151919029709674
58115.31115.36841608161-0.0584160816100621
59115.13114.9683201447030.161679855297479
60115.09115.0381608681860.0518391318135514
61115.07115.0026361520830.0673638479172212
62115.01114.9281598043360.0818401956643129
63114.64114.894216225947-0.25421622594709
64113.86114.406059705166-0.546059705165703
65113.34113.497862524992-0.157862524991955
66113.33113.160048701660.169951298339782
67113.32113.2527533172760.0672466827239475
68113.26113.1465992462280.113400753772225
69113.2113.0789673051020.121032694897508
70112.61112.921222240983-0.311222240982588
71112.28112.2272695149970.0527304850031243
72112.16112.1368289140310.0231710859685421







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73112.018598854337111.747497781139112.289699927535
74111.81636437534111.414472132695112.218256617985
75111.632463229677111.117318829575112.147607629779
76111.354395417347110.732805575737111.975985258958
77110.999660938351110.274521700729111.724800175973
78110.842009792688110.014337329861111.669682255514
79110.771025313691109.840795604924111.701255022458
80110.597540834695109.564103495269111.63097817412
81110.405723022365109.268029311126111.543416733603
82110.104738543368108.861477085018111.348000001718
83109.729170731038108.378853005934111.079488456143
84109.588186252042108.129202804617111.047169699466

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 112.018598854337 & 111.747497781139 & 112.289699927535 \tabularnewline
74 & 111.81636437534 & 111.414472132695 & 112.218256617985 \tabularnewline
75 & 111.632463229677 & 111.117318829575 & 112.147607629779 \tabularnewline
76 & 111.354395417347 & 110.732805575737 & 111.975985258958 \tabularnewline
77 & 110.999660938351 & 110.274521700729 & 111.724800175973 \tabularnewline
78 & 110.842009792688 & 110.014337329861 & 111.669682255514 \tabularnewline
79 & 110.771025313691 & 109.840795604924 & 111.701255022458 \tabularnewline
80 & 110.597540834695 & 109.564103495269 & 111.63097817412 \tabularnewline
81 & 110.405723022365 & 109.268029311126 & 111.543416733603 \tabularnewline
82 & 110.104738543368 & 108.861477085018 & 111.348000001718 \tabularnewline
83 & 109.729170731038 & 108.378853005934 & 111.079488456143 \tabularnewline
84 & 109.588186252042 & 108.129202804617 & 111.047169699466 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76700&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]112.018598854337[/C][C]111.747497781139[/C][C]112.289699927535[/C][/ROW]
[ROW][C]74[/C][C]111.81636437534[/C][C]111.414472132695[/C][C]112.218256617985[/C][/ROW]
[ROW][C]75[/C][C]111.632463229677[/C][C]111.117318829575[/C][C]112.147607629779[/C][/ROW]
[ROW][C]76[/C][C]111.354395417347[/C][C]110.732805575737[/C][C]111.975985258958[/C][/ROW]
[ROW][C]77[/C][C]110.999660938351[/C][C]110.274521700729[/C][C]111.724800175973[/C][/ROW]
[ROW][C]78[/C][C]110.842009792688[/C][C]110.014337329861[/C][C]111.669682255514[/C][/ROW]
[ROW][C]79[/C][C]110.771025313691[/C][C]109.840795604924[/C][C]111.701255022458[/C][/ROW]
[ROW][C]80[/C][C]110.597540834695[/C][C]109.564103495269[/C][C]111.63097817412[/C][/ROW]
[ROW][C]81[/C][C]110.405723022365[/C][C]109.268029311126[/C][C]111.543416733603[/C][/ROW]
[ROW][C]82[/C][C]110.104738543368[/C][C]108.861477085018[/C][C]111.348000001718[/C][/ROW]
[ROW][C]83[/C][C]109.729170731038[/C][C]108.378853005934[/C][C]111.079488456143[/C][/ROW]
[ROW][C]84[/C][C]109.588186252042[/C][C]108.129202804617[/C][C]111.047169699466[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76700&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76700&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
73112.018598854337111.747497781139112.289699927535
74111.81636437534111.414472132695112.218256617985
75111.632463229677111.117318829575112.147607629779
76111.354395417347110.732805575737111.975985258958
77110.999660938351110.274521700729111.724800175973
78110.842009792688110.014337329861111.669682255514
79110.771025313691109.840795604924111.701255022458
80110.597540834695109.564103495269111.63097817412
81110.405723022365109.268029311126111.543416733603
82110.104738543368108.861477085018111.348000001718
83109.729170731038108.378853005934111.079488456143
84109.588186252042108.129202804617111.047169699466



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=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')