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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 12 Jan 2016 11:11:20 +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/2016/Jan/12/t1452597096ttu2bbdn4j9yy9h.htm/, Retrieved Sat, 04 May 2024 01:41:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=289716, Retrieved Sat, 04 May 2024 01:41:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2016-01-12 11:11:20] [d1a83db1c928d515dd26931964d56abe] [Current]
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Dataseries X:
90,65
90,93
91,42
91,52
91,76
91,47
91,37
91,35
91,74
91,78
91,88
91,99
92,55
92,94
92,81
93,35
93,72
93,94
94,03
93,66
93,78
94,1
94,85
94,83
95,06
95,87
95,97
95,96
96,3
96,17
96,18
96,55
96,76
97,63
97,86
97,82
98,62
99,24
99,63
100,27
100,84
101,05
100,38
100,02
99,97
99,95
100
100,04
100,51
100,29
100,22
101,29
100,29
100,26
100,39
99,3
98,9
98,76
99,12
99,28




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289716&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289716&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289716&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0814489005891061
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0814489005891061 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289716&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]0.0814489005891061[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289716&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289716&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
beta0.0814489005891061
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
391.4291.210.209999999999994
491.5291.7171042691237-0.197104269123713
591.7691.8010503431022-0.0410503431021567
691.4792.0377068377877-0.567706837787696
791.3791.701467739993-0.331467739992959
891.3591.5744700569898-0.224470056989787
991.7491.53618721763280.203812782367208
1091.7891.9427875446826-0.162787544682601
1191.8891.9695286781386-0.0895286781386204
1291.9992.062236665733-0.0722366657330156
1392.5592.16635306872680.383646931273162
1492.9492.75760068949340.182399310506568
1592.8193.1624569128024-0.352456912802396
1693.3593.00374968474960.346250315250373
1793.7293.57195139225540.148048607744613
1893.9493.9540097885899-0.0140097885899308
1994.0394.1728687067118-0.142868706711795
2093.6694.2512322076215-0.591232207621545
2193.7893.8330769943179-0.053076994317891
2294.193.94875393148410.151246068515874
2394.8594.28107275748320.568927242516835
2494.8395.0774112559014-0.247411255901355
2595.0695.03725988111480.0227401188851815
2695.8795.26911203879730.600887961202716
2795.9796.1280537026145-0.158053702614481
2895.9696.2151804023025-0.255180402302486
2996.396.18439623908310.11560376091694
3096.1796.5338120383137-0.363812038313711
3196.1896.374179947772-0.194179947771971
3296.5596.36836420450950.181635795490493
3396.7696.75315824035980.00684175964018152
3497.6396.96371549416060.666284505839371
3597.8697.8879836346408-0.0279836346407905
3697.8298.1157043983648-0.295704398364819
3798.6298.05161960021860.568380399781375
3899.2498.89791355889720.342086441102765
3999.6399.54577612343150.0842238765685153
40100.2799.94263606558130.327363934418656
41100.84100.6092994981320.230700501867744
42101.05101.198089800375-0.148089800374748
43100.38101.396028048946-1.01602804894577
44100.02100.643273681391-0.623273681391439
4599.97100.232508725276-0.262508725275978
4699.95100.161127678207-0.211127678207205
47100100.123931560933-0.1239315609333
48100.04100.163837471547-0.123837471546977
49100.51100.1937510456380.316248954362251
50100.29100.689509175283-0.399509175283015
51100.22100.436969592181-0.216969592180959
52101.29100.3492976574370.940702342563469
53100.29101.49591682902-1.20591682901994
54100.26100.397696229094-0.13769622909436
55100.39100.3564810226190.0335189773806377
5699.3100.489211106476-1.18921110647588
5798.999.3023511692851-0.402351169285055
5898.7698.8695801088961-0.109580108896054
5999.1298.72065492950.399345070499962
6099.2899.11318114644790.166818853552058

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 91.42 & 91.21 & 0.209999999999994 \tabularnewline
4 & 91.52 & 91.7171042691237 & -0.197104269123713 \tabularnewline
5 & 91.76 & 91.8010503431022 & -0.0410503431021567 \tabularnewline
6 & 91.47 & 92.0377068377877 & -0.567706837787696 \tabularnewline
7 & 91.37 & 91.701467739993 & -0.331467739992959 \tabularnewline
8 & 91.35 & 91.5744700569898 & -0.224470056989787 \tabularnewline
9 & 91.74 & 91.5361872176328 & 0.203812782367208 \tabularnewline
10 & 91.78 & 91.9427875446826 & -0.162787544682601 \tabularnewline
11 & 91.88 & 91.9695286781386 & -0.0895286781386204 \tabularnewline
12 & 91.99 & 92.062236665733 & -0.0722366657330156 \tabularnewline
13 & 92.55 & 92.1663530687268 & 0.383646931273162 \tabularnewline
14 & 92.94 & 92.7576006894934 & 0.182399310506568 \tabularnewline
15 & 92.81 & 93.1624569128024 & -0.352456912802396 \tabularnewline
16 & 93.35 & 93.0037496847496 & 0.346250315250373 \tabularnewline
17 & 93.72 & 93.5719513922554 & 0.148048607744613 \tabularnewline
18 & 93.94 & 93.9540097885899 & -0.0140097885899308 \tabularnewline
19 & 94.03 & 94.1728687067118 & -0.142868706711795 \tabularnewline
20 & 93.66 & 94.2512322076215 & -0.591232207621545 \tabularnewline
21 & 93.78 & 93.8330769943179 & -0.053076994317891 \tabularnewline
22 & 94.1 & 93.9487539314841 & 0.151246068515874 \tabularnewline
23 & 94.85 & 94.2810727574832 & 0.568927242516835 \tabularnewline
24 & 94.83 & 95.0774112559014 & -0.247411255901355 \tabularnewline
25 & 95.06 & 95.0372598811148 & 0.0227401188851815 \tabularnewline
26 & 95.87 & 95.2691120387973 & 0.600887961202716 \tabularnewline
27 & 95.97 & 96.1280537026145 & -0.158053702614481 \tabularnewline
28 & 95.96 & 96.2151804023025 & -0.255180402302486 \tabularnewline
29 & 96.3 & 96.1843962390831 & 0.11560376091694 \tabularnewline
30 & 96.17 & 96.5338120383137 & -0.363812038313711 \tabularnewline
31 & 96.18 & 96.374179947772 & -0.194179947771971 \tabularnewline
32 & 96.55 & 96.3683642045095 & 0.181635795490493 \tabularnewline
33 & 96.76 & 96.7531582403598 & 0.00684175964018152 \tabularnewline
34 & 97.63 & 96.9637154941606 & 0.666284505839371 \tabularnewline
35 & 97.86 & 97.8879836346408 & -0.0279836346407905 \tabularnewline
36 & 97.82 & 98.1157043983648 & -0.295704398364819 \tabularnewline
37 & 98.62 & 98.0516196002186 & 0.568380399781375 \tabularnewline
38 & 99.24 & 98.8979135588972 & 0.342086441102765 \tabularnewline
39 & 99.63 & 99.5457761234315 & 0.0842238765685153 \tabularnewline
40 & 100.27 & 99.9426360655813 & 0.327363934418656 \tabularnewline
41 & 100.84 & 100.609299498132 & 0.230700501867744 \tabularnewline
42 & 101.05 & 101.198089800375 & -0.148089800374748 \tabularnewline
43 & 100.38 & 101.396028048946 & -1.01602804894577 \tabularnewline
44 & 100.02 & 100.643273681391 & -0.623273681391439 \tabularnewline
45 & 99.97 & 100.232508725276 & -0.262508725275978 \tabularnewline
46 & 99.95 & 100.161127678207 & -0.211127678207205 \tabularnewline
47 & 100 & 100.123931560933 & -0.1239315609333 \tabularnewline
48 & 100.04 & 100.163837471547 & -0.123837471546977 \tabularnewline
49 & 100.51 & 100.193751045638 & 0.316248954362251 \tabularnewline
50 & 100.29 & 100.689509175283 & -0.399509175283015 \tabularnewline
51 & 100.22 & 100.436969592181 & -0.216969592180959 \tabularnewline
52 & 101.29 & 100.349297657437 & 0.940702342563469 \tabularnewline
53 & 100.29 & 101.49591682902 & -1.20591682901994 \tabularnewline
54 & 100.26 & 100.397696229094 & -0.13769622909436 \tabularnewline
55 & 100.39 & 100.356481022619 & 0.0335189773806377 \tabularnewline
56 & 99.3 & 100.489211106476 & -1.18921110647588 \tabularnewline
57 & 98.9 & 99.3023511692851 & -0.402351169285055 \tabularnewline
58 & 98.76 & 98.8695801088961 & -0.109580108896054 \tabularnewline
59 & 99.12 & 98.7206549295 & 0.399345070499962 \tabularnewline
60 & 99.28 & 99.1131811464479 & 0.166818853552058 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289716&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]91.42[/C][C]91.21[/C][C]0.209999999999994[/C][/ROW]
[ROW][C]4[/C][C]91.52[/C][C]91.7171042691237[/C][C]-0.197104269123713[/C][/ROW]
[ROW][C]5[/C][C]91.76[/C][C]91.8010503431022[/C][C]-0.0410503431021567[/C][/ROW]
[ROW][C]6[/C][C]91.47[/C][C]92.0377068377877[/C][C]-0.567706837787696[/C][/ROW]
[ROW][C]7[/C][C]91.37[/C][C]91.701467739993[/C][C]-0.331467739992959[/C][/ROW]
[ROW][C]8[/C][C]91.35[/C][C]91.5744700569898[/C][C]-0.224470056989787[/C][/ROW]
[ROW][C]9[/C][C]91.74[/C][C]91.5361872176328[/C][C]0.203812782367208[/C][/ROW]
[ROW][C]10[/C][C]91.78[/C][C]91.9427875446826[/C][C]-0.162787544682601[/C][/ROW]
[ROW][C]11[/C][C]91.88[/C][C]91.9695286781386[/C][C]-0.0895286781386204[/C][/ROW]
[ROW][C]12[/C][C]91.99[/C][C]92.062236665733[/C][C]-0.0722366657330156[/C][/ROW]
[ROW][C]13[/C][C]92.55[/C][C]92.1663530687268[/C][C]0.383646931273162[/C][/ROW]
[ROW][C]14[/C][C]92.94[/C][C]92.7576006894934[/C][C]0.182399310506568[/C][/ROW]
[ROW][C]15[/C][C]92.81[/C][C]93.1624569128024[/C][C]-0.352456912802396[/C][/ROW]
[ROW][C]16[/C][C]93.35[/C][C]93.0037496847496[/C][C]0.346250315250373[/C][/ROW]
[ROW][C]17[/C][C]93.72[/C][C]93.5719513922554[/C][C]0.148048607744613[/C][/ROW]
[ROW][C]18[/C][C]93.94[/C][C]93.9540097885899[/C][C]-0.0140097885899308[/C][/ROW]
[ROW][C]19[/C][C]94.03[/C][C]94.1728687067118[/C][C]-0.142868706711795[/C][/ROW]
[ROW][C]20[/C][C]93.66[/C][C]94.2512322076215[/C][C]-0.591232207621545[/C][/ROW]
[ROW][C]21[/C][C]93.78[/C][C]93.8330769943179[/C][C]-0.053076994317891[/C][/ROW]
[ROW][C]22[/C][C]94.1[/C][C]93.9487539314841[/C][C]0.151246068515874[/C][/ROW]
[ROW][C]23[/C][C]94.85[/C][C]94.2810727574832[/C][C]0.568927242516835[/C][/ROW]
[ROW][C]24[/C][C]94.83[/C][C]95.0774112559014[/C][C]-0.247411255901355[/C][/ROW]
[ROW][C]25[/C][C]95.06[/C][C]95.0372598811148[/C][C]0.0227401188851815[/C][/ROW]
[ROW][C]26[/C][C]95.87[/C][C]95.2691120387973[/C][C]0.600887961202716[/C][/ROW]
[ROW][C]27[/C][C]95.97[/C][C]96.1280537026145[/C][C]-0.158053702614481[/C][/ROW]
[ROW][C]28[/C][C]95.96[/C][C]96.2151804023025[/C][C]-0.255180402302486[/C][/ROW]
[ROW][C]29[/C][C]96.3[/C][C]96.1843962390831[/C][C]0.11560376091694[/C][/ROW]
[ROW][C]30[/C][C]96.17[/C][C]96.5338120383137[/C][C]-0.363812038313711[/C][/ROW]
[ROW][C]31[/C][C]96.18[/C][C]96.374179947772[/C][C]-0.194179947771971[/C][/ROW]
[ROW][C]32[/C][C]96.55[/C][C]96.3683642045095[/C][C]0.181635795490493[/C][/ROW]
[ROW][C]33[/C][C]96.76[/C][C]96.7531582403598[/C][C]0.00684175964018152[/C][/ROW]
[ROW][C]34[/C][C]97.63[/C][C]96.9637154941606[/C][C]0.666284505839371[/C][/ROW]
[ROW][C]35[/C][C]97.86[/C][C]97.8879836346408[/C][C]-0.0279836346407905[/C][/ROW]
[ROW][C]36[/C][C]97.82[/C][C]98.1157043983648[/C][C]-0.295704398364819[/C][/ROW]
[ROW][C]37[/C][C]98.62[/C][C]98.0516196002186[/C][C]0.568380399781375[/C][/ROW]
[ROW][C]38[/C][C]99.24[/C][C]98.8979135588972[/C][C]0.342086441102765[/C][/ROW]
[ROW][C]39[/C][C]99.63[/C][C]99.5457761234315[/C][C]0.0842238765685153[/C][/ROW]
[ROW][C]40[/C][C]100.27[/C][C]99.9426360655813[/C][C]0.327363934418656[/C][/ROW]
[ROW][C]41[/C][C]100.84[/C][C]100.609299498132[/C][C]0.230700501867744[/C][/ROW]
[ROW][C]42[/C][C]101.05[/C][C]101.198089800375[/C][C]-0.148089800374748[/C][/ROW]
[ROW][C]43[/C][C]100.38[/C][C]101.396028048946[/C][C]-1.01602804894577[/C][/ROW]
[ROW][C]44[/C][C]100.02[/C][C]100.643273681391[/C][C]-0.623273681391439[/C][/ROW]
[ROW][C]45[/C][C]99.97[/C][C]100.232508725276[/C][C]-0.262508725275978[/C][/ROW]
[ROW][C]46[/C][C]99.95[/C][C]100.161127678207[/C][C]-0.211127678207205[/C][/ROW]
[ROW][C]47[/C][C]100[/C][C]100.123931560933[/C][C]-0.1239315609333[/C][/ROW]
[ROW][C]48[/C][C]100.04[/C][C]100.163837471547[/C][C]-0.123837471546977[/C][/ROW]
[ROW][C]49[/C][C]100.51[/C][C]100.193751045638[/C][C]0.316248954362251[/C][/ROW]
[ROW][C]50[/C][C]100.29[/C][C]100.689509175283[/C][C]-0.399509175283015[/C][/ROW]
[ROW][C]51[/C][C]100.22[/C][C]100.436969592181[/C][C]-0.216969592180959[/C][/ROW]
[ROW][C]52[/C][C]101.29[/C][C]100.349297657437[/C][C]0.940702342563469[/C][/ROW]
[ROW][C]53[/C][C]100.29[/C][C]101.49591682902[/C][C]-1.20591682901994[/C][/ROW]
[ROW][C]54[/C][C]100.26[/C][C]100.397696229094[/C][C]-0.13769622909436[/C][/ROW]
[ROW][C]55[/C][C]100.39[/C][C]100.356481022619[/C][C]0.0335189773806377[/C][/ROW]
[ROW][C]56[/C][C]99.3[/C][C]100.489211106476[/C][C]-1.18921110647588[/C][/ROW]
[ROW][C]57[/C][C]98.9[/C][C]99.3023511692851[/C][C]-0.402351169285055[/C][/ROW]
[ROW][C]58[/C][C]98.76[/C][C]98.8695801088961[/C][C]-0.109580108896054[/C][/ROW]
[ROW][C]59[/C][C]99.12[/C][C]98.7206549295[/C][C]0.399345070499962[/C][/ROW]
[ROW][C]60[/C][C]99.28[/C][C]99.1131811464479[/C][C]0.166818853552058[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289716&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289716&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
391.4291.210.209999999999994
491.5291.7171042691237-0.197104269123713
591.7691.8010503431022-0.0410503431021567
691.4792.0377068377877-0.567706837787696
791.3791.701467739993-0.331467739992959
891.3591.5744700569898-0.224470056989787
991.7491.53618721763280.203812782367208
1091.7891.9427875446826-0.162787544682601
1191.8891.9695286781386-0.0895286781386204
1291.9992.062236665733-0.0722366657330156
1392.5592.16635306872680.383646931273162
1492.9492.75760068949340.182399310506568
1592.8193.1624569128024-0.352456912802396
1693.3593.00374968474960.346250315250373
1793.7293.57195139225540.148048607744613
1893.9493.9540097885899-0.0140097885899308
1994.0394.1728687067118-0.142868706711795
2093.6694.2512322076215-0.591232207621545
2193.7893.8330769943179-0.053076994317891
2294.193.94875393148410.151246068515874
2394.8594.28107275748320.568927242516835
2494.8395.0774112559014-0.247411255901355
2595.0695.03725988111480.0227401188851815
2695.8795.26911203879730.600887961202716
2795.9796.1280537026145-0.158053702614481
2895.9696.2151804023025-0.255180402302486
2996.396.18439623908310.11560376091694
3096.1796.5338120383137-0.363812038313711
3196.1896.374179947772-0.194179947771971
3296.5596.36836420450950.181635795490493
3396.7696.75315824035980.00684175964018152
3497.6396.96371549416060.666284505839371
3597.8697.8879836346408-0.0279836346407905
3697.8298.1157043983648-0.295704398364819
3798.6298.05161960021860.568380399781375
3899.2498.89791355889720.342086441102765
3999.6399.54577612343150.0842238765685153
40100.2799.94263606558130.327363934418656
41100.84100.6092994981320.230700501867744
42101.05101.198089800375-0.148089800374748
43100.38101.396028048946-1.01602804894577
44100.02100.643273681391-0.623273681391439
4599.97100.232508725276-0.262508725275978
4699.95100.161127678207-0.211127678207205
47100100.123931560933-0.1239315609333
48100.04100.163837471547-0.123837471546977
49100.51100.1937510456380.316248954362251
50100.29100.689509175283-0.399509175283015
51100.22100.436969592181-0.216969592180959
52101.29100.3492976574370.940702342563469
53100.29101.49591682902-1.20591682901994
54100.26100.397696229094-0.13769622909436
55100.39100.3564810226190.0335189773806377
5699.3100.489211106476-1.18921110647588
5798.999.3023511692851-0.402351169285055
5898.7698.8695801088961-0.109580108896054
5999.1298.72065492950.399345070499962
6099.2899.11318114644790.166818853552058







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6199.286768358667398.4858676409831100.087669076352
6299.293536717334698.1138635927766100.473209841893
6399.300305076001997.7972845447675100.803325607236
6499.307073434669297.5036659314214101.110480937917
6599.313841793336597.2210534736923101.406630112981
6699.320610152003796.9436300815829101.697590222425
6799.32737851067196.6681299157766101.986627105565
6899.334146869338396.3925520625526102.275741676124
6999.340915228005696.1155973270197102.566233128992
7099.347683586672995.8363874857376102.858979687608
7199.354451945340295.5543118427865103.154592047894
7299.361220304007595.2689373729454103.45350323507

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 99.2867683586673 & 98.4858676409831 & 100.087669076352 \tabularnewline
62 & 99.2935367173346 & 98.1138635927766 & 100.473209841893 \tabularnewline
63 & 99.3003050760019 & 97.7972845447675 & 100.803325607236 \tabularnewline
64 & 99.3070734346692 & 97.5036659314214 & 101.110480937917 \tabularnewline
65 & 99.3138417933365 & 97.2210534736923 & 101.406630112981 \tabularnewline
66 & 99.3206101520037 & 96.9436300815829 & 101.697590222425 \tabularnewline
67 & 99.327378510671 & 96.6681299157766 & 101.986627105565 \tabularnewline
68 & 99.3341468693383 & 96.3925520625526 & 102.275741676124 \tabularnewline
69 & 99.3409152280056 & 96.1155973270197 & 102.566233128992 \tabularnewline
70 & 99.3476835866729 & 95.8363874857376 & 102.858979687608 \tabularnewline
71 & 99.3544519453402 & 95.5543118427865 & 103.154592047894 \tabularnewline
72 & 99.3612203040075 & 95.2689373729454 & 103.45350323507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=289716&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]99.2867683586673[/C][C]98.4858676409831[/C][C]100.087669076352[/C][/ROW]
[ROW][C]62[/C][C]99.2935367173346[/C][C]98.1138635927766[/C][C]100.473209841893[/C][/ROW]
[ROW][C]63[/C][C]99.3003050760019[/C][C]97.7972845447675[/C][C]100.803325607236[/C][/ROW]
[ROW][C]64[/C][C]99.3070734346692[/C][C]97.5036659314214[/C][C]101.110480937917[/C][/ROW]
[ROW][C]65[/C][C]99.3138417933365[/C][C]97.2210534736923[/C][C]101.406630112981[/C][/ROW]
[ROW][C]66[/C][C]99.3206101520037[/C][C]96.9436300815829[/C][C]101.697590222425[/C][/ROW]
[ROW][C]67[/C][C]99.327378510671[/C][C]96.6681299157766[/C][C]101.986627105565[/C][/ROW]
[ROW][C]68[/C][C]99.3341468693383[/C][C]96.3925520625526[/C][C]102.275741676124[/C][/ROW]
[ROW][C]69[/C][C]99.3409152280056[/C][C]96.1155973270197[/C][C]102.566233128992[/C][/ROW]
[ROW][C]70[/C][C]99.3476835866729[/C][C]95.8363874857376[/C][C]102.858979687608[/C][/ROW]
[ROW][C]71[/C][C]99.3544519453402[/C][C]95.5543118427865[/C][C]103.154592047894[/C][/ROW]
[ROW][C]72[/C][C]99.3612203040075[/C][C]95.2689373729454[/C][C]103.45350323507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=289716&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=289716&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
6199.286768358667398.4858676409831100.087669076352
6299.293536717334698.1138635927766100.473209841893
6399.300305076001997.7972845447675100.803325607236
6499.307073434669297.5036659314214101.110480937917
6599.313841793336597.2210534736923101.406630112981
6699.320610152003796.9436300815829101.697590222425
6799.32737851067196.6681299157766101.986627105565
6899.334146869338396.3925520625526102.275741676124
6999.340915228005696.1155973270197102.566233128992
7099.347683586672995.8363874857376102.858979687608
7199.354451945340295.5543118427865103.154592047894
7299.361220304007595.2689373729454103.45350323507



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')