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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 26 May 2008 05:36:49 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/26/t1211801917o6bf4wd74dgkr3r.htm/, Retrieved Tue, 14 May 2024 22:36:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13257, Retrieved Tue, 14 May 2024 22:36:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsexponentional smoothing gem prijs kinderfiets
Estimated Impact212
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [hans van de paer ...] [2008-05-26 11:36:49] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
217.8
218.79
218.99
219.53
219.55
219.74
219.74
219.74
219.8
219.97
220.07
220.07
220.1
225.8
233.17
233.83
233.63
233.63
233.65
233.8
233.84
233.74
233.88
233.88
233.81
234.68
236.14
236.91
236.87
236.78
236.78
236.9
236.94
236.97
236.96
236.94
236.99
237.24
237.62
237.54
237.41
237.4
237.41
237.28
237.17
237.18
237.18
237.18
236.77
239.23
240.23
240.33
240.33
240.34
240.34
240.27
240.29
240.29
240.29
240.29
240.31
239.95
242.33
242.11
241.53
241.53
241.53
241.41
241.41
241.66
241.8
241.99




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13257&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13257&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13257&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.695856782322273
beta-2.71050543121376e-19
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.695856782322273 \tabularnewline
beta & -2.71050543121376e-19 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13257&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]0.695856782322273[/C][/ROW]
[ROW][C]beta[/C][C]-2.71050543121376e-19[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13257&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13257&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
alpha0.695856782322273
beta-2.71050543121376e-19
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13220.1213.9154423309186.1845576690821
14225.8222.7535920639453.04640793605475
15233.17231.0726223546362.09737764536393
16233.83232.0333468142541.79665318574635
17233.63231.9343934523701.69560654763046
18233.63231.9634594353551.66654056464509
19233.65231.9964663236121.65353367638826
20233.8232.3558389471251.44416105287522
21233.84232.9070182105340.93298178946631
22233.74233.2041565831840.535843416816363
23233.88233.4536935257050.426306474295274
24233.88233.4840917771910.395908222809027
25233.81231.0189118019312.79108819806879
26234.68236.541245830593-1.86124583059294
27236.14241.156610836188-5.01661083618816
28236.91237.075554856773-0.165554856772701
29236.87235.5804530705221.28954692947772
30236.78235.3181194925991.46188050740125
31236.78235.2047563351061.57524366489443
32236.9235.4459710597241.45402894027634
33236.94235.8485452535251.09145474647548
34236.97236.1351711656030.834828834397086
35236.96236.559444220610.400555779389947
36236.94236.5626782543780.377321745621884
37236.99234.8130424975012.17695750249905
38237.24238.493053675229-1.25305367522944
39237.62242.57195045134-4.95195045134011
40237.54240.011304613983-2.47130461398297
41237.41237.3542905601590.0557094398413369
42237.4236.2857968856921.11420311430825
43237.41235.9649786916411.44502130835923
44237.28236.0787106698791.20128933012143
45237.17236.1951398098420.974860190157841
46237.18236.3225815784860.857418421513955
47237.18236.6304925465980.549507453402271
48237.18236.7303091391760.449690860824319
49236.77235.5783789316871.19162106831268
50239.23237.5295224325531.70047756744691
51240.23242.538659588337-2.30865958833675
52240.33242.571837232544-2.24183723254362
53240.33240.843073797863-0.513073797862575
54240.34239.7007221218120.639277878187926
55240.34239.1500400911161.18995990888425
56240.27239.0121564365081.25784356349192
57240.29239.0990723361271.19092766387297
58240.29239.3411470043900.94885299561028
59240.29239.6190343084250.670965691574679
60240.29239.773009900160.51699009983983
61240.31238.8935633651841.41643663481631
62239.95241.155911555756-1.20591155575553
63242.33242.923266253420-0.593266253419671
64242.11244.170435550383-2.06043555038275
65241.53243.093693380185-1.56369338018550
66241.53241.570740888785-0.040740888785308
67241.53240.7143493917180.815650608282482
68241.41240.336646424741.07335357526009
69241.41240.2748316977531.13516830224674
70241.66240.4044804675271.2555195324733
71241.8240.8112462223490.988753777651482
72241.99241.1395261772070.850473822792964

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 220.1 & 213.915442330918 & 6.1845576690821 \tabularnewline
14 & 225.8 & 222.753592063945 & 3.04640793605475 \tabularnewline
15 & 233.17 & 231.072622354636 & 2.09737764536393 \tabularnewline
16 & 233.83 & 232.033346814254 & 1.79665318574635 \tabularnewline
17 & 233.63 & 231.934393452370 & 1.69560654763046 \tabularnewline
18 & 233.63 & 231.963459435355 & 1.66654056464509 \tabularnewline
19 & 233.65 & 231.996466323612 & 1.65353367638826 \tabularnewline
20 & 233.8 & 232.355838947125 & 1.44416105287522 \tabularnewline
21 & 233.84 & 232.907018210534 & 0.93298178946631 \tabularnewline
22 & 233.74 & 233.204156583184 & 0.535843416816363 \tabularnewline
23 & 233.88 & 233.453693525705 & 0.426306474295274 \tabularnewline
24 & 233.88 & 233.484091777191 & 0.395908222809027 \tabularnewline
25 & 233.81 & 231.018911801931 & 2.79108819806879 \tabularnewline
26 & 234.68 & 236.541245830593 & -1.86124583059294 \tabularnewline
27 & 236.14 & 241.156610836188 & -5.01661083618816 \tabularnewline
28 & 236.91 & 237.075554856773 & -0.165554856772701 \tabularnewline
29 & 236.87 & 235.580453070522 & 1.28954692947772 \tabularnewline
30 & 236.78 & 235.318119492599 & 1.46188050740125 \tabularnewline
31 & 236.78 & 235.204756335106 & 1.57524366489443 \tabularnewline
32 & 236.9 & 235.445971059724 & 1.45402894027634 \tabularnewline
33 & 236.94 & 235.848545253525 & 1.09145474647548 \tabularnewline
34 & 236.97 & 236.135171165603 & 0.834828834397086 \tabularnewline
35 & 236.96 & 236.55944422061 & 0.400555779389947 \tabularnewline
36 & 236.94 & 236.562678254378 & 0.377321745621884 \tabularnewline
37 & 236.99 & 234.813042497501 & 2.17695750249905 \tabularnewline
38 & 237.24 & 238.493053675229 & -1.25305367522944 \tabularnewline
39 & 237.62 & 242.57195045134 & -4.95195045134011 \tabularnewline
40 & 237.54 & 240.011304613983 & -2.47130461398297 \tabularnewline
41 & 237.41 & 237.354290560159 & 0.0557094398413369 \tabularnewline
42 & 237.4 & 236.285796885692 & 1.11420311430825 \tabularnewline
43 & 237.41 & 235.964978691641 & 1.44502130835923 \tabularnewline
44 & 237.28 & 236.078710669879 & 1.20128933012143 \tabularnewline
45 & 237.17 & 236.195139809842 & 0.974860190157841 \tabularnewline
46 & 237.18 & 236.322581578486 & 0.857418421513955 \tabularnewline
47 & 237.18 & 236.630492546598 & 0.549507453402271 \tabularnewline
48 & 237.18 & 236.730309139176 & 0.449690860824319 \tabularnewline
49 & 236.77 & 235.578378931687 & 1.19162106831268 \tabularnewline
50 & 239.23 & 237.529522432553 & 1.70047756744691 \tabularnewline
51 & 240.23 & 242.538659588337 & -2.30865958833675 \tabularnewline
52 & 240.33 & 242.571837232544 & -2.24183723254362 \tabularnewline
53 & 240.33 & 240.843073797863 & -0.513073797862575 \tabularnewline
54 & 240.34 & 239.700722121812 & 0.639277878187926 \tabularnewline
55 & 240.34 & 239.150040091116 & 1.18995990888425 \tabularnewline
56 & 240.27 & 239.012156436508 & 1.25784356349192 \tabularnewline
57 & 240.29 & 239.099072336127 & 1.19092766387297 \tabularnewline
58 & 240.29 & 239.341147004390 & 0.94885299561028 \tabularnewline
59 & 240.29 & 239.619034308425 & 0.670965691574679 \tabularnewline
60 & 240.29 & 239.77300990016 & 0.51699009983983 \tabularnewline
61 & 240.31 & 238.893563365184 & 1.41643663481631 \tabularnewline
62 & 239.95 & 241.155911555756 & -1.20591155575553 \tabularnewline
63 & 242.33 & 242.923266253420 & -0.593266253419671 \tabularnewline
64 & 242.11 & 244.170435550383 & -2.06043555038275 \tabularnewline
65 & 241.53 & 243.093693380185 & -1.56369338018550 \tabularnewline
66 & 241.53 & 241.570740888785 & -0.040740888785308 \tabularnewline
67 & 241.53 & 240.714349391718 & 0.815650608282482 \tabularnewline
68 & 241.41 & 240.33664642474 & 1.07335357526009 \tabularnewline
69 & 241.41 & 240.274831697753 & 1.13516830224674 \tabularnewline
70 & 241.66 & 240.404480467527 & 1.2555195324733 \tabularnewline
71 & 241.8 & 240.811246222349 & 0.988753777651482 \tabularnewline
72 & 241.99 & 241.139526177207 & 0.850473822792964 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13257&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]220.1[/C][C]213.915442330918[/C][C]6.1845576690821[/C][/ROW]
[ROW][C]14[/C][C]225.8[/C][C]222.753592063945[/C][C]3.04640793605475[/C][/ROW]
[ROW][C]15[/C][C]233.17[/C][C]231.072622354636[/C][C]2.09737764536393[/C][/ROW]
[ROW][C]16[/C][C]233.83[/C][C]232.033346814254[/C][C]1.79665318574635[/C][/ROW]
[ROW][C]17[/C][C]233.63[/C][C]231.934393452370[/C][C]1.69560654763046[/C][/ROW]
[ROW][C]18[/C][C]233.63[/C][C]231.963459435355[/C][C]1.66654056464509[/C][/ROW]
[ROW][C]19[/C][C]233.65[/C][C]231.996466323612[/C][C]1.65353367638826[/C][/ROW]
[ROW][C]20[/C][C]233.8[/C][C]232.355838947125[/C][C]1.44416105287522[/C][/ROW]
[ROW][C]21[/C][C]233.84[/C][C]232.907018210534[/C][C]0.93298178946631[/C][/ROW]
[ROW][C]22[/C][C]233.74[/C][C]233.204156583184[/C][C]0.535843416816363[/C][/ROW]
[ROW][C]23[/C][C]233.88[/C][C]233.453693525705[/C][C]0.426306474295274[/C][/ROW]
[ROW][C]24[/C][C]233.88[/C][C]233.484091777191[/C][C]0.395908222809027[/C][/ROW]
[ROW][C]25[/C][C]233.81[/C][C]231.018911801931[/C][C]2.79108819806879[/C][/ROW]
[ROW][C]26[/C][C]234.68[/C][C]236.541245830593[/C][C]-1.86124583059294[/C][/ROW]
[ROW][C]27[/C][C]236.14[/C][C]241.156610836188[/C][C]-5.01661083618816[/C][/ROW]
[ROW][C]28[/C][C]236.91[/C][C]237.075554856773[/C][C]-0.165554856772701[/C][/ROW]
[ROW][C]29[/C][C]236.87[/C][C]235.580453070522[/C][C]1.28954692947772[/C][/ROW]
[ROW][C]30[/C][C]236.78[/C][C]235.318119492599[/C][C]1.46188050740125[/C][/ROW]
[ROW][C]31[/C][C]236.78[/C][C]235.204756335106[/C][C]1.57524366489443[/C][/ROW]
[ROW][C]32[/C][C]236.9[/C][C]235.445971059724[/C][C]1.45402894027634[/C][/ROW]
[ROW][C]33[/C][C]236.94[/C][C]235.848545253525[/C][C]1.09145474647548[/C][/ROW]
[ROW][C]34[/C][C]236.97[/C][C]236.135171165603[/C][C]0.834828834397086[/C][/ROW]
[ROW][C]35[/C][C]236.96[/C][C]236.55944422061[/C][C]0.400555779389947[/C][/ROW]
[ROW][C]36[/C][C]236.94[/C][C]236.562678254378[/C][C]0.377321745621884[/C][/ROW]
[ROW][C]37[/C][C]236.99[/C][C]234.813042497501[/C][C]2.17695750249905[/C][/ROW]
[ROW][C]38[/C][C]237.24[/C][C]238.493053675229[/C][C]-1.25305367522944[/C][/ROW]
[ROW][C]39[/C][C]237.62[/C][C]242.57195045134[/C][C]-4.95195045134011[/C][/ROW]
[ROW][C]40[/C][C]237.54[/C][C]240.011304613983[/C][C]-2.47130461398297[/C][/ROW]
[ROW][C]41[/C][C]237.41[/C][C]237.354290560159[/C][C]0.0557094398413369[/C][/ROW]
[ROW][C]42[/C][C]237.4[/C][C]236.285796885692[/C][C]1.11420311430825[/C][/ROW]
[ROW][C]43[/C][C]237.41[/C][C]235.964978691641[/C][C]1.44502130835923[/C][/ROW]
[ROW][C]44[/C][C]237.28[/C][C]236.078710669879[/C][C]1.20128933012143[/C][/ROW]
[ROW][C]45[/C][C]237.17[/C][C]236.195139809842[/C][C]0.974860190157841[/C][/ROW]
[ROW][C]46[/C][C]237.18[/C][C]236.322581578486[/C][C]0.857418421513955[/C][/ROW]
[ROW][C]47[/C][C]237.18[/C][C]236.630492546598[/C][C]0.549507453402271[/C][/ROW]
[ROW][C]48[/C][C]237.18[/C][C]236.730309139176[/C][C]0.449690860824319[/C][/ROW]
[ROW][C]49[/C][C]236.77[/C][C]235.578378931687[/C][C]1.19162106831268[/C][/ROW]
[ROW][C]50[/C][C]239.23[/C][C]237.529522432553[/C][C]1.70047756744691[/C][/ROW]
[ROW][C]51[/C][C]240.23[/C][C]242.538659588337[/C][C]-2.30865958833675[/C][/ROW]
[ROW][C]52[/C][C]240.33[/C][C]242.571837232544[/C][C]-2.24183723254362[/C][/ROW]
[ROW][C]53[/C][C]240.33[/C][C]240.843073797863[/C][C]-0.513073797862575[/C][/ROW]
[ROW][C]54[/C][C]240.34[/C][C]239.700722121812[/C][C]0.639277878187926[/C][/ROW]
[ROW][C]55[/C][C]240.34[/C][C]239.150040091116[/C][C]1.18995990888425[/C][/ROW]
[ROW][C]56[/C][C]240.27[/C][C]239.012156436508[/C][C]1.25784356349192[/C][/ROW]
[ROW][C]57[/C][C]240.29[/C][C]239.099072336127[/C][C]1.19092766387297[/C][/ROW]
[ROW][C]58[/C][C]240.29[/C][C]239.341147004390[/C][C]0.94885299561028[/C][/ROW]
[ROW][C]59[/C][C]240.29[/C][C]239.619034308425[/C][C]0.670965691574679[/C][/ROW]
[ROW][C]60[/C][C]240.29[/C][C]239.77300990016[/C][C]0.51699009983983[/C][/ROW]
[ROW][C]61[/C][C]240.31[/C][C]238.893563365184[/C][C]1.41643663481631[/C][/ROW]
[ROW][C]62[/C][C]239.95[/C][C]241.155911555756[/C][C]-1.20591155575553[/C][/ROW]
[ROW][C]63[/C][C]242.33[/C][C]242.923266253420[/C][C]-0.593266253419671[/C][/ROW]
[ROW][C]64[/C][C]242.11[/C][C]244.170435550383[/C][C]-2.06043555038275[/C][/ROW]
[ROW][C]65[/C][C]241.53[/C][C]243.093693380185[/C][C]-1.56369338018550[/C][/ROW]
[ROW][C]66[/C][C]241.53[/C][C]241.570740888785[/C][C]-0.040740888785308[/C][/ROW]
[ROW][C]67[/C][C]241.53[/C][C]240.714349391718[/C][C]0.815650608282482[/C][/ROW]
[ROW][C]68[/C][C]241.41[/C][C]240.33664642474[/C][C]1.07335357526009[/C][/ROW]
[ROW][C]69[/C][C]241.41[/C][C]240.274831697753[/C][C]1.13516830224674[/C][/ROW]
[ROW][C]70[/C][C]241.66[/C][C]240.404480467527[/C][C]1.2555195324733[/C][/ROW]
[ROW][C]71[/C][C]241.8[/C][C]240.811246222349[/C][C]0.988753777651482[/C][/ROW]
[ROW][C]72[/C][C]241.99[/C][C]241.139526177207[/C][C]0.850473822792964[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13257&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13257&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
13220.1213.9154423309186.1845576690821
14225.8222.7535920639453.04640793605475
15233.17231.0726223546362.09737764536393
16233.83232.0333468142541.79665318574635
17233.63231.9343934523701.69560654763046
18233.63231.9634594353551.66654056464509
19233.65231.9964663236121.65353367638826
20233.8232.3558389471251.44416105287522
21233.84232.9070182105340.93298178946631
22233.74233.2041565831840.535843416816363
23233.88233.4536935257050.426306474295274
24233.88233.4840917771910.395908222809027
25233.81231.0189118019312.79108819806879
26234.68236.541245830593-1.86124583059294
27236.14241.156610836188-5.01661083618816
28236.91237.075554856773-0.165554856772701
29236.87235.5804530705221.28954692947772
30236.78235.3181194925991.46188050740125
31236.78235.2047563351061.57524366489443
32236.9235.4459710597241.45402894027634
33236.94235.8485452535251.09145474647548
34236.97236.1351711656030.834828834397086
35236.96236.559444220610.400555779389947
36236.94236.5626782543780.377321745621884
37236.99234.8130424975012.17695750249905
38237.24238.493053675229-1.25305367522944
39237.62242.57195045134-4.95195045134011
40237.54240.011304613983-2.47130461398297
41237.41237.3542905601590.0557094398413369
42237.4236.2857968856921.11420311430825
43237.41235.9649786916411.44502130835923
44237.28236.0787106698791.20128933012143
45237.17236.1951398098420.974860190157841
46237.18236.3225815784860.857418421513955
47237.18236.6304925465980.549507453402271
48237.18236.7303091391760.449690860824319
49236.77235.5783789316871.19162106831268
50239.23237.5295224325531.70047756744691
51240.23242.538659588337-2.30865958833675
52240.33242.571837232544-2.24183723254362
53240.33240.843073797863-0.513073797862575
54240.34239.7007221218120.639277878187926
55240.34239.1500400911161.18995990888425
56240.27239.0121564365081.25784356349192
57240.29239.0990723361271.19092766387297
58240.29239.3411470043900.94885299561028
59240.29239.6190343084250.670965691574679
60240.29239.773009900160.51699009983983
61240.31238.8935633651841.41643663481631
62239.95241.155911555756-1.20591155575553
63242.33242.923266253420-0.593266253419671
64242.11244.170435550383-2.06043555038275
65241.53243.093693380185-1.56369338018550
66241.53241.570740888785-0.040740888785308
67241.53240.7143493917180.815650608282482
68241.41240.336646424741.07335357526009
69241.41240.2748316977531.13516830224674
70241.66240.4044804675271.2555195324733
71241.8240.8112462223490.988753777651482
72241.99241.1395261772070.850473822792964







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73240.765697115918237.35521901688244.176175214957
74241.244838850872237.089906891099245.399770810645
75244.037667197037239.252736861424248.822597532650
76245.251435249309239.910306432009250.592564066608
77245.759541893383239.914907108444251.604176678322
78245.787891717162239.479813206582252.095970227742
79245.220315709383238.480586247308251.960045171458
80244.353415344209237.208063572023251.498767116395
81243.563500782013236.034347398358251.092654165669
82242.939839000004235.045521461360250.834156538647
83242.391807977778234.148486552087250.635129403469
84241.99233.411862273571250.568137726429

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 240.765697115918 & 237.35521901688 & 244.176175214957 \tabularnewline
74 & 241.244838850872 & 237.089906891099 & 245.399770810645 \tabularnewline
75 & 244.037667197037 & 239.252736861424 & 248.822597532650 \tabularnewline
76 & 245.251435249309 & 239.910306432009 & 250.592564066608 \tabularnewline
77 & 245.759541893383 & 239.914907108444 & 251.604176678322 \tabularnewline
78 & 245.787891717162 & 239.479813206582 & 252.095970227742 \tabularnewline
79 & 245.220315709383 & 238.480586247308 & 251.960045171458 \tabularnewline
80 & 244.353415344209 & 237.208063572023 & 251.498767116395 \tabularnewline
81 & 243.563500782013 & 236.034347398358 & 251.092654165669 \tabularnewline
82 & 242.939839000004 & 235.045521461360 & 250.834156538647 \tabularnewline
83 & 242.391807977778 & 234.148486552087 & 250.635129403469 \tabularnewline
84 & 241.99 & 233.411862273571 & 250.568137726429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13257&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]240.765697115918[/C][C]237.35521901688[/C][C]244.176175214957[/C][/ROW]
[ROW][C]74[/C][C]241.244838850872[/C][C]237.089906891099[/C][C]245.399770810645[/C][/ROW]
[ROW][C]75[/C][C]244.037667197037[/C][C]239.252736861424[/C][C]248.822597532650[/C][/ROW]
[ROW][C]76[/C][C]245.251435249309[/C][C]239.910306432009[/C][C]250.592564066608[/C][/ROW]
[ROW][C]77[/C][C]245.759541893383[/C][C]239.914907108444[/C][C]251.604176678322[/C][/ROW]
[ROW][C]78[/C][C]245.787891717162[/C][C]239.479813206582[/C][C]252.095970227742[/C][/ROW]
[ROW][C]79[/C][C]245.220315709383[/C][C]238.480586247308[/C][C]251.960045171458[/C][/ROW]
[ROW][C]80[/C][C]244.353415344209[/C][C]237.208063572023[/C][C]251.498767116395[/C][/ROW]
[ROW][C]81[/C][C]243.563500782013[/C][C]236.034347398358[/C][C]251.092654165669[/C][/ROW]
[ROW][C]82[/C][C]242.939839000004[/C][C]235.045521461360[/C][C]250.834156538647[/C][/ROW]
[ROW][C]83[/C][C]242.391807977778[/C][C]234.148486552087[/C][C]250.635129403469[/C][/ROW]
[ROW][C]84[/C][C]241.99[/C][C]233.411862273571[/C][C]250.568137726429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13257&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13257&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
73240.765697115918237.35521901688244.176175214957
74241.244838850872237.089906891099245.399770810645
75244.037667197037239.252736861424248.822597532650
76245.251435249309239.910306432009250.592564066608
77245.759541893383239.914907108444251.604176678322
78245.787891717162239.479813206582252.095970227742
79245.220315709383238.480586247308251.960045171458
80244.353415344209237.208063572023251.498767116395
81243.563500782013236.034347398358251.092654165669
82242.939839000004235.045521461360250.834156538647
83242.391807977778234.148486552087250.635129403469
84241.99233.411862273571250.568137726429



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')