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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 17 May 2012 13:26:12 -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/17/t1337275666mul3ngdmme21zh6.htm/, Retrieved Mon, 29 Apr 2024 17:49:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166638, Retrieved Mon, 29 Apr 2024 17:49:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Korte sigaretten ...] [2012-05-17 17:26:12] [b2a0b9abf574629544aa46a6a9e51555] [Current]
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Dataseries X:
4,69
4,69
4,69
4,69
4,69
4,69
4,69
4,73
4,78
4,79
4,79
4,8
4,8
4,81
5,16
5,26
5,29
5,29
5,29
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,3
5,35
5,44
5,47
5,47
5,48
5,48
5,48
5,48
5,48
5,48
5,48
5,5
5,55
5,57
5,58
5,58
5,58
5,59
5,59
5,59
5,55
5,61
5,61
5,61
5,63
5,69
5,7
5,7
5,7
5,7
5,7
5,7
5,7




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=166638&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=166638&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166638&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
alpha1
beta0.0500039611236148
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0500039611236148 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166638&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]0.0500039611236148[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166638&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166638&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
beta0.0500039611236148
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
34.694.690
44.694.690
54.694.690
64.694.690
74.694.690
84.734.690.04
94.784.732000158444950.0479998415550549
104.794.7844003406560.00559965934399642
114.794.79468034580415-0.00468034580414578
124.84.794446309974510.00555369002548911
134.84.80472401647464-0.00472401647463716
144.814.804487796938490.00551220306150757
155.164.814763428926080.345236571073915
165.265.182026625004520.0779733749954836
175.295.285925602616470.00407439738353332
185.295.31612933862483-0.0261293386248349
195.295.31482276819205-0.0248227681920534
205.35.3135815314564-0.0135815314563974
215.35.32290240108545-0.0229024010854522
225.35.32175719031194-0.0217571903119378
235.35.32066924461342-0.0206692446134209
245.35.31963570050932-0.0196357005093164
255.35.31865383770441-0.0186538377044139
265.35.31772107192904-0.0177210719290359
275.35.31683494813723-0.0168349481372276
285.355.315993134045060.034006865954944
295.445.36769361204820.072306387951798
305.475.461309217860330.00869078213966556
315.475.49174379139258-0.0217437913925789
325.485.4906565156931-0.0106565156931042
335.485.50012364769667-0.020123647696674
345.485.49911738559958-0.0191173855995839
355.485.49816144059328-0.0181614405932766
365.485.4972532966239-0.0172532966239016
375.485.49639056345027-0.0163905634502663
385.485.49557097035271-0.0155709703527052
395.55.494792360156530.00520763984346839
405.555.515052762776810.0349472372231903
415.575.56680026306830.0031997369317045
425.585.58696026258944-0.00696026258943494
435.585.5966122218895-0.0166122218895026
445.585.59578154499196-0.0157815449919632
455.595.59499240522971-0.00499240522971434
465.595.60474276519269-0.0147427651926941
475.595.60400556853514-0.0140055685351443
485.555.6033052346306-0.0533052346305984
495.615.560639761750450.0493602382495553
505.615.62310796918493-0.0131079691849285
515.615.6224525188034-0.0124525188033955
525.635.621829843537260.00817015646274033
535.695.64223838372340.0477616162766044
545.75.70462665372689-0.00462665372689308
555.75.7143953027138-0.0143953027138002
565.75.71367548055654-0.0136754805565369
575.75.71299165235844-0.0129916523584415
585.75.71234201827898-0.0123420182789777
595.75.71172486847677-0.0117248684767688
605.75.71113857860928-0.0111385786092777

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 4.69 & 4.69 & 0 \tabularnewline
4 & 4.69 & 4.69 & 0 \tabularnewline
5 & 4.69 & 4.69 & 0 \tabularnewline
6 & 4.69 & 4.69 & 0 \tabularnewline
7 & 4.69 & 4.69 & 0 \tabularnewline
8 & 4.73 & 4.69 & 0.04 \tabularnewline
9 & 4.78 & 4.73200015844495 & 0.0479998415550549 \tabularnewline
10 & 4.79 & 4.784400340656 & 0.00559965934399642 \tabularnewline
11 & 4.79 & 4.79468034580415 & -0.00468034580414578 \tabularnewline
12 & 4.8 & 4.79444630997451 & 0.00555369002548911 \tabularnewline
13 & 4.8 & 4.80472401647464 & -0.00472401647463716 \tabularnewline
14 & 4.81 & 4.80448779693849 & 0.00551220306150757 \tabularnewline
15 & 5.16 & 4.81476342892608 & 0.345236571073915 \tabularnewline
16 & 5.26 & 5.18202662500452 & 0.0779733749954836 \tabularnewline
17 & 5.29 & 5.28592560261647 & 0.00407439738353332 \tabularnewline
18 & 5.29 & 5.31612933862483 & -0.0261293386248349 \tabularnewline
19 & 5.29 & 5.31482276819205 & -0.0248227681920534 \tabularnewline
20 & 5.3 & 5.3135815314564 & -0.0135815314563974 \tabularnewline
21 & 5.3 & 5.32290240108545 & -0.0229024010854522 \tabularnewline
22 & 5.3 & 5.32175719031194 & -0.0217571903119378 \tabularnewline
23 & 5.3 & 5.32066924461342 & -0.0206692446134209 \tabularnewline
24 & 5.3 & 5.31963570050932 & -0.0196357005093164 \tabularnewline
25 & 5.3 & 5.31865383770441 & -0.0186538377044139 \tabularnewline
26 & 5.3 & 5.31772107192904 & -0.0177210719290359 \tabularnewline
27 & 5.3 & 5.31683494813723 & -0.0168349481372276 \tabularnewline
28 & 5.35 & 5.31599313404506 & 0.034006865954944 \tabularnewline
29 & 5.44 & 5.3676936120482 & 0.072306387951798 \tabularnewline
30 & 5.47 & 5.46130921786033 & 0.00869078213966556 \tabularnewline
31 & 5.47 & 5.49174379139258 & -0.0217437913925789 \tabularnewline
32 & 5.48 & 5.4906565156931 & -0.0106565156931042 \tabularnewline
33 & 5.48 & 5.50012364769667 & -0.020123647696674 \tabularnewline
34 & 5.48 & 5.49911738559958 & -0.0191173855995839 \tabularnewline
35 & 5.48 & 5.49816144059328 & -0.0181614405932766 \tabularnewline
36 & 5.48 & 5.4972532966239 & -0.0172532966239016 \tabularnewline
37 & 5.48 & 5.49639056345027 & -0.0163905634502663 \tabularnewline
38 & 5.48 & 5.49557097035271 & -0.0155709703527052 \tabularnewline
39 & 5.5 & 5.49479236015653 & 0.00520763984346839 \tabularnewline
40 & 5.55 & 5.51505276277681 & 0.0349472372231903 \tabularnewline
41 & 5.57 & 5.5668002630683 & 0.0031997369317045 \tabularnewline
42 & 5.58 & 5.58696026258944 & -0.00696026258943494 \tabularnewline
43 & 5.58 & 5.5966122218895 & -0.0166122218895026 \tabularnewline
44 & 5.58 & 5.59578154499196 & -0.0157815449919632 \tabularnewline
45 & 5.59 & 5.59499240522971 & -0.00499240522971434 \tabularnewline
46 & 5.59 & 5.60474276519269 & -0.0147427651926941 \tabularnewline
47 & 5.59 & 5.60400556853514 & -0.0140055685351443 \tabularnewline
48 & 5.55 & 5.6033052346306 & -0.0533052346305984 \tabularnewline
49 & 5.61 & 5.56063976175045 & 0.0493602382495553 \tabularnewline
50 & 5.61 & 5.62310796918493 & -0.0131079691849285 \tabularnewline
51 & 5.61 & 5.6224525188034 & -0.0124525188033955 \tabularnewline
52 & 5.63 & 5.62182984353726 & 0.00817015646274033 \tabularnewline
53 & 5.69 & 5.6422383837234 & 0.0477616162766044 \tabularnewline
54 & 5.7 & 5.70462665372689 & -0.00462665372689308 \tabularnewline
55 & 5.7 & 5.7143953027138 & -0.0143953027138002 \tabularnewline
56 & 5.7 & 5.71367548055654 & -0.0136754805565369 \tabularnewline
57 & 5.7 & 5.71299165235844 & -0.0129916523584415 \tabularnewline
58 & 5.7 & 5.71234201827898 & -0.0123420182789777 \tabularnewline
59 & 5.7 & 5.71172486847677 & -0.0117248684767688 \tabularnewline
60 & 5.7 & 5.71113857860928 & -0.0111385786092777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166638&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]4.69[/C][C]4.69[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]4.69[/C][C]4.69[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]4.69[/C][C]4.69[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]4.69[/C][C]4.69[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]4.69[/C][C]4.69[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]4.73[/C][C]4.69[/C][C]0.04[/C][/ROW]
[ROW][C]9[/C][C]4.78[/C][C]4.73200015844495[/C][C]0.0479998415550549[/C][/ROW]
[ROW][C]10[/C][C]4.79[/C][C]4.784400340656[/C][C]0.00559965934399642[/C][/ROW]
[ROW][C]11[/C][C]4.79[/C][C]4.79468034580415[/C][C]-0.00468034580414578[/C][/ROW]
[ROW][C]12[/C][C]4.8[/C][C]4.79444630997451[/C][C]0.00555369002548911[/C][/ROW]
[ROW][C]13[/C][C]4.8[/C][C]4.80472401647464[/C][C]-0.00472401647463716[/C][/ROW]
[ROW][C]14[/C][C]4.81[/C][C]4.80448779693849[/C][C]0.00551220306150757[/C][/ROW]
[ROW][C]15[/C][C]5.16[/C][C]4.81476342892608[/C][C]0.345236571073915[/C][/ROW]
[ROW][C]16[/C][C]5.26[/C][C]5.18202662500452[/C][C]0.0779733749954836[/C][/ROW]
[ROW][C]17[/C][C]5.29[/C][C]5.28592560261647[/C][C]0.00407439738353332[/C][/ROW]
[ROW][C]18[/C][C]5.29[/C][C]5.31612933862483[/C][C]-0.0261293386248349[/C][/ROW]
[ROW][C]19[/C][C]5.29[/C][C]5.31482276819205[/C][C]-0.0248227681920534[/C][/ROW]
[ROW][C]20[/C][C]5.3[/C][C]5.3135815314564[/C][C]-0.0135815314563974[/C][/ROW]
[ROW][C]21[/C][C]5.3[/C][C]5.32290240108545[/C][C]-0.0229024010854522[/C][/ROW]
[ROW][C]22[/C][C]5.3[/C][C]5.32175719031194[/C][C]-0.0217571903119378[/C][/ROW]
[ROW][C]23[/C][C]5.3[/C][C]5.32066924461342[/C][C]-0.0206692446134209[/C][/ROW]
[ROW][C]24[/C][C]5.3[/C][C]5.31963570050932[/C][C]-0.0196357005093164[/C][/ROW]
[ROW][C]25[/C][C]5.3[/C][C]5.31865383770441[/C][C]-0.0186538377044139[/C][/ROW]
[ROW][C]26[/C][C]5.3[/C][C]5.31772107192904[/C][C]-0.0177210719290359[/C][/ROW]
[ROW][C]27[/C][C]5.3[/C][C]5.31683494813723[/C][C]-0.0168349481372276[/C][/ROW]
[ROW][C]28[/C][C]5.35[/C][C]5.31599313404506[/C][C]0.034006865954944[/C][/ROW]
[ROW][C]29[/C][C]5.44[/C][C]5.3676936120482[/C][C]0.072306387951798[/C][/ROW]
[ROW][C]30[/C][C]5.47[/C][C]5.46130921786033[/C][C]0.00869078213966556[/C][/ROW]
[ROW][C]31[/C][C]5.47[/C][C]5.49174379139258[/C][C]-0.0217437913925789[/C][/ROW]
[ROW][C]32[/C][C]5.48[/C][C]5.4906565156931[/C][C]-0.0106565156931042[/C][/ROW]
[ROW][C]33[/C][C]5.48[/C][C]5.50012364769667[/C][C]-0.020123647696674[/C][/ROW]
[ROW][C]34[/C][C]5.48[/C][C]5.49911738559958[/C][C]-0.0191173855995839[/C][/ROW]
[ROW][C]35[/C][C]5.48[/C][C]5.49816144059328[/C][C]-0.0181614405932766[/C][/ROW]
[ROW][C]36[/C][C]5.48[/C][C]5.4972532966239[/C][C]-0.0172532966239016[/C][/ROW]
[ROW][C]37[/C][C]5.48[/C][C]5.49639056345027[/C][C]-0.0163905634502663[/C][/ROW]
[ROW][C]38[/C][C]5.48[/C][C]5.49557097035271[/C][C]-0.0155709703527052[/C][/ROW]
[ROW][C]39[/C][C]5.5[/C][C]5.49479236015653[/C][C]0.00520763984346839[/C][/ROW]
[ROW][C]40[/C][C]5.55[/C][C]5.51505276277681[/C][C]0.0349472372231903[/C][/ROW]
[ROW][C]41[/C][C]5.57[/C][C]5.5668002630683[/C][C]0.0031997369317045[/C][/ROW]
[ROW][C]42[/C][C]5.58[/C][C]5.58696026258944[/C][C]-0.00696026258943494[/C][/ROW]
[ROW][C]43[/C][C]5.58[/C][C]5.5966122218895[/C][C]-0.0166122218895026[/C][/ROW]
[ROW][C]44[/C][C]5.58[/C][C]5.59578154499196[/C][C]-0.0157815449919632[/C][/ROW]
[ROW][C]45[/C][C]5.59[/C][C]5.59499240522971[/C][C]-0.00499240522971434[/C][/ROW]
[ROW][C]46[/C][C]5.59[/C][C]5.60474276519269[/C][C]-0.0147427651926941[/C][/ROW]
[ROW][C]47[/C][C]5.59[/C][C]5.60400556853514[/C][C]-0.0140055685351443[/C][/ROW]
[ROW][C]48[/C][C]5.55[/C][C]5.6033052346306[/C][C]-0.0533052346305984[/C][/ROW]
[ROW][C]49[/C][C]5.61[/C][C]5.56063976175045[/C][C]0.0493602382495553[/C][/ROW]
[ROW][C]50[/C][C]5.61[/C][C]5.62310796918493[/C][C]-0.0131079691849285[/C][/ROW]
[ROW][C]51[/C][C]5.61[/C][C]5.6224525188034[/C][C]-0.0124525188033955[/C][/ROW]
[ROW][C]52[/C][C]5.63[/C][C]5.62182984353726[/C][C]0.00817015646274033[/C][/ROW]
[ROW][C]53[/C][C]5.69[/C][C]5.6422383837234[/C][C]0.0477616162766044[/C][/ROW]
[ROW][C]54[/C][C]5.7[/C][C]5.70462665372689[/C][C]-0.00462665372689308[/C][/ROW]
[ROW][C]55[/C][C]5.7[/C][C]5.7143953027138[/C][C]-0.0143953027138002[/C][/ROW]
[ROW][C]56[/C][C]5.7[/C][C]5.71367548055654[/C][C]-0.0136754805565369[/C][/ROW]
[ROW][C]57[/C][C]5.7[/C][C]5.71299165235844[/C][C]-0.0129916523584415[/C][/ROW]
[ROW][C]58[/C][C]5.7[/C][C]5.71234201827898[/C][C]-0.0123420182789777[/C][/ROW]
[ROW][C]59[/C][C]5.7[/C][C]5.71172486847677[/C][C]-0.0117248684767688[/C][/ROW]
[ROW][C]60[/C][C]5.7[/C][C]5.71113857860928[/C][C]-0.0111385786092777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166638&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166638&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
34.694.690
44.694.690
54.694.690
64.694.690
74.694.690
84.734.690.04
94.784.732000158444950.0479998415550549
104.794.7844003406560.00559965934399642
114.794.79468034580415-0.00468034580414578
124.84.794446309974510.00555369002548911
134.84.80472401647464-0.00472401647463716
144.814.804487796938490.00551220306150757
155.164.814763428926080.345236571073915
165.265.182026625004520.0779733749954836
175.295.285925602616470.00407439738353332
185.295.31612933862483-0.0261293386248349
195.295.31482276819205-0.0248227681920534
205.35.3135815314564-0.0135815314563974
215.35.32290240108545-0.0229024010854522
225.35.32175719031194-0.0217571903119378
235.35.32066924461342-0.0206692446134209
245.35.31963570050932-0.0196357005093164
255.35.31865383770441-0.0186538377044139
265.35.31772107192904-0.0177210719290359
275.35.31683494813723-0.0168349481372276
285.355.315993134045060.034006865954944
295.445.36769361204820.072306387951798
305.475.461309217860330.00869078213966556
315.475.49174379139258-0.0217437913925789
325.485.4906565156931-0.0106565156931042
335.485.50012364769667-0.020123647696674
345.485.49911738559958-0.0191173855995839
355.485.49816144059328-0.0181614405932766
365.485.4972532966239-0.0172532966239016
375.485.49639056345027-0.0163905634502663
385.485.49557097035271-0.0155709703527052
395.55.494792360156530.00520763984346839
405.555.515052762776810.0349472372231903
415.575.56680026306830.0031997369317045
425.585.58696026258944-0.00696026258943494
435.585.5966122218895-0.0166122218895026
445.585.59578154499196-0.0157815449919632
455.595.59499240522971-0.00499240522971434
465.595.60474276519269-0.0147427651926941
475.595.60400556853514-0.0140055685351443
485.555.6033052346306-0.0533052346305984
495.615.560639761750450.0493602382495553
505.615.62310796918493-0.0131079691849285
515.615.6224525188034-0.0124525188033955
525.635.621829843537260.00817015646274033
535.695.64223838372340.0477616162766044
545.75.70462665372689-0.00462665372689308
555.75.7143953027138-0.0143953027138002
565.75.71367548055654-0.0136754805565369
575.75.71299165235844-0.0129916523584415
585.75.71234201827898-0.0123420182789777
595.75.71172486847677-0.0117248684767688
605.75.71113857860928-0.0111385786092777







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
615.710581605557535.609047042988955.8121161681261
625.721163211115055.573937804148635.86838861808147
635.731744816672585.546948405219685.91654122812548
645.742326422230115.523730901715915.96092194274431
655.752908027787635.502648684965036.00316737061024
665.763489633345165.482885856760076.04409340993025
675.774071238902695.463971612355236.08417086545014
685.784652844460215.445608319319736.12369736960069
695.795234450017745.427595675040246.16287322499524
705.805816055575275.409792610048236.20183950110231
715.816397661132795.392096298711296.2406990235543
725.826979266690325.374429762648596.27952877073206

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 5.71058160555753 & 5.60904704298895 & 5.8121161681261 \tabularnewline
62 & 5.72116321111505 & 5.57393780414863 & 5.86838861808147 \tabularnewline
63 & 5.73174481667258 & 5.54694840521968 & 5.91654122812548 \tabularnewline
64 & 5.74232642223011 & 5.52373090171591 & 5.96092194274431 \tabularnewline
65 & 5.75290802778763 & 5.50264868496503 & 6.00316737061024 \tabularnewline
66 & 5.76348963334516 & 5.48288585676007 & 6.04409340993025 \tabularnewline
67 & 5.77407123890269 & 5.46397161235523 & 6.08417086545014 \tabularnewline
68 & 5.78465284446021 & 5.44560831931973 & 6.12369736960069 \tabularnewline
69 & 5.79523445001774 & 5.42759567504024 & 6.16287322499524 \tabularnewline
70 & 5.80581605557527 & 5.40979261004823 & 6.20183950110231 \tabularnewline
71 & 5.81639766113279 & 5.39209629871129 & 6.2406990235543 \tabularnewline
72 & 5.82697926669032 & 5.37442976264859 & 6.27952877073206 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166638&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]5.71058160555753[/C][C]5.60904704298895[/C][C]5.8121161681261[/C][/ROW]
[ROW][C]62[/C][C]5.72116321111505[/C][C]5.57393780414863[/C][C]5.86838861808147[/C][/ROW]
[ROW][C]63[/C][C]5.73174481667258[/C][C]5.54694840521968[/C][C]5.91654122812548[/C][/ROW]
[ROW][C]64[/C][C]5.74232642223011[/C][C]5.52373090171591[/C][C]5.96092194274431[/C][/ROW]
[ROW][C]65[/C][C]5.75290802778763[/C][C]5.50264868496503[/C][C]6.00316737061024[/C][/ROW]
[ROW][C]66[/C][C]5.76348963334516[/C][C]5.48288585676007[/C][C]6.04409340993025[/C][/ROW]
[ROW][C]67[/C][C]5.77407123890269[/C][C]5.46397161235523[/C][C]6.08417086545014[/C][/ROW]
[ROW][C]68[/C][C]5.78465284446021[/C][C]5.44560831931973[/C][C]6.12369736960069[/C][/ROW]
[ROW][C]69[/C][C]5.79523445001774[/C][C]5.42759567504024[/C][C]6.16287322499524[/C][/ROW]
[ROW][C]70[/C][C]5.80581605557527[/C][C]5.40979261004823[/C][C]6.20183950110231[/C][/ROW]
[ROW][C]71[/C][C]5.81639766113279[/C][C]5.39209629871129[/C][C]6.2406990235543[/C][/ROW]
[ROW][C]72[/C][C]5.82697926669032[/C][C]5.37442976264859[/C][C]6.27952877073206[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166638&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166638&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
615.710581605557535.609047042988955.8121161681261
625.721163211115055.573937804148635.86838861808147
635.731744816672585.546948405219685.91654122812548
645.742326422230115.523730901715915.96092194274431
655.752908027787635.502648684965036.00316737061024
665.763489633345165.482885856760076.04409340993025
675.774071238902695.463971612355236.08417086545014
685.784652844460215.445608319319736.12369736960069
695.795234450017745.427595675040246.16287322499524
705.805816055575275.409792610048236.20183950110231
715.816397661132795.392096298711296.2406990235543
725.826979266690325.374429762648596.27952877073206



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')