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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 26 Apr 2016 17:56:46 +0100
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/Apr/26/t1461689852ramirmp1mr7pef4.htm/, Retrieved Fri, 03 May 2024 16:11:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294922, Retrieved Fri, 03 May 2024 16:11:41 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2016-04-26 16:56:46] [60c466f2753cef60360c0cd0685abd02] [Current]
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Dataseries X:
93,91
94,27
94,55
94,66
94,78
94,91
95,2
95,48
95,56
95,75
95,91
96,16
96,32
96,58
97,08
97,22
97,49
97,62
97,83
98,12
98,29
98,47
98,64
98,67
98,82
99,17
99,38
99,53
99,54
99,76
100,02
100,22
100,55
100,94
100,99
101,07
101,19
101,94
102,25
102,49
102,58
102,74
103,01
103,19
103,44
103,62
103,74
103,82
103,96
104,7
105,13
105,26
105,44
105,73
105,83
105,97
106,13
106,49
106,74
106,82




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294922&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]1 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=294922&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294922&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999949012034124
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999949012034124 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294922&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]0.999949012034124[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294922&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294922&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
alpha0.999949012034124
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
294.2793.910.359999999999999
394.5594.26998164433230.280018355667721
494.6694.54998572243360.110014277566364
594.7894.65999439059580.120005609404231
694.9194.77999388115810.130006118841919
795.294.90999337125250.290006628747548
895.4895.19998521315190.280014786848085
995.5695.47998572261560.0800142773844073
1095.7595.55999592023480.190004079765245
1195.9195.74999031207850.16000968792153
1296.1695.90999184143150.250008158568505
1396.3296.15998725259250.160012747407464
1496.5896.31999184127550.260008158724503
1597.0896.57998674271290.500013257287122
1697.2297.07997450534110.140025494658914
1797.4997.21999286038490.270007139615132
1897.6297.48998623288520.130013767114832
1997.8397.61999337086250.21000662913751
2098.1297.82998929218920.29001070781085
2198.2998.11998521294390.170014787056076
2298.4798.28999133129180.180008668708155
2398.6498.46999082172410.170009178275862
2498.6798.63999133157780.0300086684221696
2598.8298.66999846991910.150001530080942
2699.1798.81999235172710.350007648272907
2799.3899.1699821538220.210017846178019
2899.5399.37998929161720.15001070838278
2999.5499.52999235125910.0100076487408813
3099.7699.53999948973030.220000510269657
31100.0299.75998878262150.260011217378505
32100.22100.0199867425570.200013257443089
33100.55100.2199898017310.33001019826915
34100.94100.5499831734510.390016826548731
35100.99100.9399801138350.0500198861646339
36101.07100.9899974495880.0800025504122459
37101.19101.0699959208330.120004079167316
38101.94101.1899938812360.750006118763892
39102.25101.9399617587140.310038241286392
40102.49102.2499841917810.240015808219269
41102.58102.4899877620820.090012237917847
42102.74102.5799954104590.160004589540904
43103.01102.7399918416910.270008158308571
44103.19103.0099862328330.180013767166756
45103.44103.1899908214640.250009178535819
46103.62103.4399872525410.180012747459472
47103.74103.6199908215160.120009178483812
48103.82103.7399938809760.0800061190239063
49103.96103.8199959206510.140004079349268
50104.7103.9599928614770.740007138523239
51105.13104.6999622685410.430037731458711
52105.26105.1299780732510.13002192674918
53105.44105.2599933704460.18000662955356
54105.73105.4399908218280.290009178171886
55105.83105.7299852130220.100014786978079
56105.97105.8299949004490.14000509955055
57106.13105.9699928614250.160007138575239
58106.49106.1299918415610.360008158438518
59106.74106.4899816439160.2500183560837
60106.82106.7399872520730.0800127479273982

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 94.27 & 93.91 & 0.359999999999999 \tabularnewline
3 & 94.55 & 94.2699816443323 & 0.280018355667721 \tabularnewline
4 & 94.66 & 94.5499857224336 & 0.110014277566364 \tabularnewline
5 & 94.78 & 94.6599943905958 & 0.120005609404231 \tabularnewline
6 & 94.91 & 94.7799938811581 & 0.130006118841919 \tabularnewline
7 & 95.2 & 94.9099933712525 & 0.290006628747548 \tabularnewline
8 & 95.48 & 95.1999852131519 & 0.280014786848085 \tabularnewline
9 & 95.56 & 95.4799857226156 & 0.0800142773844073 \tabularnewline
10 & 95.75 & 95.5599959202348 & 0.190004079765245 \tabularnewline
11 & 95.91 & 95.7499903120785 & 0.16000968792153 \tabularnewline
12 & 96.16 & 95.9099918414315 & 0.250008158568505 \tabularnewline
13 & 96.32 & 96.1599872525925 & 0.160012747407464 \tabularnewline
14 & 96.58 & 96.3199918412755 & 0.260008158724503 \tabularnewline
15 & 97.08 & 96.5799867427129 & 0.500013257287122 \tabularnewline
16 & 97.22 & 97.0799745053411 & 0.140025494658914 \tabularnewline
17 & 97.49 & 97.2199928603849 & 0.270007139615132 \tabularnewline
18 & 97.62 & 97.4899862328852 & 0.130013767114832 \tabularnewline
19 & 97.83 & 97.6199933708625 & 0.21000662913751 \tabularnewline
20 & 98.12 & 97.8299892921892 & 0.29001070781085 \tabularnewline
21 & 98.29 & 98.1199852129439 & 0.170014787056076 \tabularnewline
22 & 98.47 & 98.2899913312918 & 0.180008668708155 \tabularnewline
23 & 98.64 & 98.4699908217241 & 0.170009178275862 \tabularnewline
24 & 98.67 & 98.6399913315778 & 0.0300086684221696 \tabularnewline
25 & 98.82 & 98.6699984699191 & 0.150001530080942 \tabularnewline
26 & 99.17 & 98.8199923517271 & 0.350007648272907 \tabularnewline
27 & 99.38 & 99.169982153822 & 0.210017846178019 \tabularnewline
28 & 99.53 & 99.3799892916172 & 0.15001070838278 \tabularnewline
29 & 99.54 & 99.5299923512591 & 0.0100076487408813 \tabularnewline
30 & 99.76 & 99.5399994897303 & 0.220000510269657 \tabularnewline
31 & 100.02 & 99.7599887826215 & 0.260011217378505 \tabularnewline
32 & 100.22 & 100.019986742557 & 0.200013257443089 \tabularnewline
33 & 100.55 & 100.219989801731 & 0.33001019826915 \tabularnewline
34 & 100.94 & 100.549983173451 & 0.390016826548731 \tabularnewline
35 & 100.99 & 100.939980113835 & 0.0500198861646339 \tabularnewline
36 & 101.07 & 100.989997449588 & 0.0800025504122459 \tabularnewline
37 & 101.19 & 101.069995920833 & 0.120004079167316 \tabularnewline
38 & 101.94 & 101.189993881236 & 0.750006118763892 \tabularnewline
39 & 102.25 & 101.939961758714 & 0.310038241286392 \tabularnewline
40 & 102.49 & 102.249984191781 & 0.240015808219269 \tabularnewline
41 & 102.58 & 102.489987762082 & 0.090012237917847 \tabularnewline
42 & 102.74 & 102.579995410459 & 0.160004589540904 \tabularnewline
43 & 103.01 & 102.739991841691 & 0.270008158308571 \tabularnewline
44 & 103.19 & 103.009986232833 & 0.180013767166756 \tabularnewline
45 & 103.44 & 103.189990821464 & 0.250009178535819 \tabularnewline
46 & 103.62 & 103.439987252541 & 0.180012747459472 \tabularnewline
47 & 103.74 & 103.619990821516 & 0.120009178483812 \tabularnewline
48 & 103.82 & 103.739993880976 & 0.0800061190239063 \tabularnewline
49 & 103.96 & 103.819995920651 & 0.140004079349268 \tabularnewline
50 & 104.7 & 103.959992861477 & 0.740007138523239 \tabularnewline
51 & 105.13 & 104.699962268541 & 0.430037731458711 \tabularnewline
52 & 105.26 & 105.129978073251 & 0.13002192674918 \tabularnewline
53 & 105.44 & 105.259993370446 & 0.18000662955356 \tabularnewline
54 & 105.73 & 105.439990821828 & 0.290009178171886 \tabularnewline
55 & 105.83 & 105.729985213022 & 0.100014786978079 \tabularnewline
56 & 105.97 & 105.829994900449 & 0.14000509955055 \tabularnewline
57 & 106.13 & 105.969992861425 & 0.160007138575239 \tabularnewline
58 & 106.49 & 106.129991841561 & 0.360008158438518 \tabularnewline
59 & 106.74 & 106.489981643916 & 0.2500183560837 \tabularnewline
60 & 106.82 & 106.739987252073 & 0.0800127479273982 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294922&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]2[/C][C]94.27[/C][C]93.91[/C][C]0.359999999999999[/C][/ROW]
[ROW][C]3[/C][C]94.55[/C][C]94.2699816443323[/C][C]0.280018355667721[/C][/ROW]
[ROW][C]4[/C][C]94.66[/C][C]94.5499857224336[/C][C]0.110014277566364[/C][/ROW]
[ROW][C]5[/C][C]94.78[/C][C]94.6599943905958[/C][C]0.120005609404231[/C][/ROW]
[ROW][C]6[/C][C]94.91[/C][C]94.7799938811581[/C][C]0.130006118841919[/C][/ROW]
[ROW][C]7[/C][C]95.2[/C][C]94.9099933712525[/C][C]0.290006628747548[/C][/ROW]
[ROW][C]8[/C][C]95.48[/C][C]95.1999852131519[/C][C]0.280014786848085[/C][/ROW]
[ROW][C]9[/C][C]95.56[/C][C]95.4799857226156[/C][C]0.0800142773844073[/C][/ROW]
[ROW][C]10[/C][C]95.75[/C][C]95.5599959202348[/C][C]0.190004079765245[/C][/ROW]
[ROW][C]11[/C][C]95.91[/C][C]95.7499903120785[/C][C]0.16000968792153[/C][/ROW]
[ROW][C]12[/C][C]96.16[/C][C]95.9099918414315[/C][C]0.250008158568505[/C][/ROW]
[ROW][C]13[/C][C]96.32[/C][C]96.1599872525925[/C][C]0.160012747407464[/C][/ROW]
[ROW][C]14[/C][C]96.58[/C][C]96.3199918412755[/C][C]0.260008158724503[/C][/ROW]
[ROW][C]15[/C][C]97.08[/C][C]96.5799867427129[/C][C]0.500013257287122[/C][/ROW]
[ROW][C]16[/C][C]97.22[/C][C]97.0799745053411[/C][C]0.140025494658914[/C][/ROW]
[ROW][C]17[/C][C]97.49[/C][C]97.2199928603849[/C][C]0.270007139615132[/C][/ROW]
[ROW][C]18[/C][C]97.62[/C][C]97.4899862328852[/C][C]0.130013767114832[/C][/ROW]
[ROW][C]19[/C][C]97.83[/C][C]97.6199933708625[/C][C]0.21000662913751[/C][/ROW]
[ROW][C]20[/C][C]98.12[/C][C]97.8299892921892[/C][C]0.29001070781085[/C][/ROW]
[ROW][C]21[/C][C]98.29[/C][C]98.1199852129439[/C][C]0.170014787056076[/C][/ROW]
[ROW][C]22[/C][C]98.47[/C][C]98.2899913312918[/C][C]0.180008668708155[/C][/ROW]
[ROW][C]23[/C][C]98.64[/C][C]98.4699908217241[/C][C]0.170009178275862[/C][/ROW]
[ROW][C]24[/C][C]98.67[/C][C]98.6399913315778[/C][C]0.0300086684221696[/C][/ROW]
[ROW][C]25[/C][C]98.82[/C][C]98.6699984699191[/C][C]0.150001530080942[/C][/ROW]
[ROW][C]26[/C][C]99.17[/C][C]98.8199923517271[/C][C]0.350007648272907[/C][/ROW]
[ROW][C]27[/C][C]99.38[/C][C]99.169982153822[/C][C]0.210017846178019[/C][/ROW]
[ROW][C]28[/C][C]99.53[/C][C]99.3799892916172[/C][C]0.15001070838278[/C][/ROW]
[ROW][C]29[/C][C]99.54[/C][C]99.5299923512591[/C][C]0.0100076487408813[/C][/ROW]
[ROW][C]30[/C][C]99.76[/C][C]99.5399994897303[/C][C]0.220000510269657[/C][/ROW]
[ROW][C]31[/C][C]100.02[/C][C]99.7599887826215[/C][C]0.260011217378505[/C][/ROW]
[ROW][C]32[/C][C]100.22[/C][C]100.019986742557[/C][C]0.200013257443089[/C][/ROW]
[ROW][C]33[/C][C]100.55[/C][C]100.219989801731[/C][C]0.33001019826915[/C][/ROW]
[ROW][C]34[/C][C]100.94[/C][C]100.549983173451[/C][C]0.390016826548731[/C][/ROW]
[ROW][C]35[/C][C]100.99[/C][C]100.939980113835[/C][C]0.0500198861646339[/C][/ROW]
[ROW][C]36[/C][C]101.07[/C][C]100.989997449588[/C][C]0.0800025504122459[/C][/ROW]
[ROW][C]37[/C][C]101.19[/C][C]101.069995920833[/C][C]0.120004079167316[/C][/ROW]
[ROW][C]38[/C][C]101.94[/C][C]101.189993881236[/C][C]0.750006118763892[/C][/ROW]
[ROW][C]39[/C][C]102.25[/C][C]101.939961758714[/C][C]0.310038241286392[/C][/ROW]
[ROW][C]40[/C][C]102.49[/C][C]102.249984191781[/C][C]0.240015808219269[/C][/ROW]
[ROW][C]41[/C][C]102.58[/C][C]102.489987762082[/C][C]0.090012237917847[/C][/ROW]
[ROW][C]42[/C][C]102.74[/C][C]102.579995410459[/C][C]0.160004589540904[/C][/ROW]
[ROW][C]43[/C][C]103.01[/C][C]102.739991841691[/C][C]0.270008158308571[/C][/ROW]
[ROW][C]44[/C][C]103.19[/C][C]103.009986232833[/C][C]0.180013767166756[/C][/ROW]
[ROW][C]45[/C][C]103.44[/C][C]103.189990821464[/C][C]0.250009178535819[/C][/ROW]
[ROW][C]46[/C][C]103.62[/C][C]103.439987252541[/C][C]0.180012747459472[/C][/ROW]
[ROW][C]47[/C][C]103.74[/C][C]103.619990821516[/C][C]0.120009178483812[/C][/ROW]
[ROW][C]48[/C][C]103.82[/C][C]103.739993880976[/C][C]0.0800061190239063[/C][/ROW]
[ROW][C]49[/C][C]103.96[/C][C]103.819995920651[/C][C]0.140004079349268[/C][/ROW]
[ROW][C]50[/C][C]104.7[/C][C]103.959992861477[/C][C]0.740007138523239[/C][/ROW]
[ROW][C]51[/C][C]105.13[/C][C]104.699962268541[/C][C]0.430037731458711[/C][/ROW]
[ROW][C]52[/C][C]105.26[/C][C]105.129978073251[/C][C]0.13002192674918[/C][/ROW]
[ROW][C]53[/C][C]105.44[/C][C]105.259993370446[/C][C]0.18000662955356[/C][/ROW]
[ROW][C]54[/C][C]105.73[/C][C]105.439990821828[/C][C]0.290009178171886[/C][/ROW]
[ROW][C]55[/C][C]105.83[/C][C]105.729985213022[/C][C]0.100014786978079[/C][/ROW]
[ROW][C]56[/C][C]105.97[/C][C]105.829994900449[/C][C]0.14000509955055[/C][/ROW]
[ROW][C]57[/C][C]106.13[/C][C]105.969992861425[/C][C]0.160007138575239[/C][/ROW]
[ROW][C]58[/C][C]106.49[/C][C]106.129991841561[/C][C]0.360008158438518[/C][/ROW]
[ROW][C]59[/C][C]106.74[/C][C]106.489981643916[/C][C]0.2500183560837[/C][/ROW]
[ROW][C]60[/C][C]106.82[/C][C]106.739987252073[/C][C]0.0800127479273982[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294922&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294922&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
294.2793.910.359999999999999
394.5594.26998164433230.280018355667721
494.6694.54998572243360.110014277566364
594.7894.65999439059580.120005609404231
694.9194.77999388115810.130006118841919
795.294.90999337125250.290006628747548
895.4895.19998521315190.280014786848085
995.5695.47998572261560.0800142773844073
1095.7595.55999592023480.190004079765245
1195.9195.74999031207850.16000968792153
1296.1695.90999184143150.250008158568505
1396.3296.15998725259250.160012747407464
1496.5896.31999184127550.260008158724503
1597.0896.57998674271290.500013257287122
1697.2297.07997450534110.140025494658914
1797.4997.21999286038490.270007139615132
1897.6297.48998623288520.130013767114832
1997.8397.61999337086250.21000662913751
2098.1297.82998929218920.29001070781085
2198.2998.11998521294390.170014787056076
2298.4798.28999133129180.180008668708155
2398.6498.46999082172410.170009178275862
2498.6798.63999133157780.0300086684221696
2598.8298.66999846991910.150001530080942
2699.1798.81999235172710.350007648272907
2799.3899.1699821538220.210017846178019
2899.5399.37998929161720.15001070838278
2999.5499.52999235125910.0100076487408813
3099.7699.53999948973030.220000510269657
31100.0299.75998878262150.260011217378505
32100.22100.0199867425570.200013257443089
33100.55100.2199898017310.33001019826915
34100.94100.5499831734510.390016826548731
35100.99100.9399801138350.0500198861646339
36101.07100.9899974495880.0800025504122459
37101.19101.0699959208330.120004079167316
38101.94101.1899938812360.750006118763892
39102.25101.9399617587140.310038241286392
40102.49102.2499841917810.240015808219269
41102.58102.4899877620820.090012237917847
42102.74102.5799954104590.160004589540904
43103.01102.7399918416910.270008158308571
44103.19103.0099862328330.180013767166756
45103.44103.1899908214640.250009178535819
46103.62103.4399872525410.180012747459472
47103.74103.6199908215160.120009178483812
48103.82103.7399938809760.0800061190239063
49103.96103.8199959206510.140004079349268
50104.7103.9599928614770.740007138523239
51105.13104.6999622685410.430037731458711
52105.26105.1299780732510.13002192674918
53105.44105.2599933704460.18000662955356
54105.73105.4399908218280.290009178171886
55105.83105.7299852130220.100014786978079
56105.97105.8299949004490.14000509955055
57106.13105.9699928614250.160007138575239
58106.49106.1299918415610.360008158438518
59106.74106.4899816439160.2500183560837
60106.82106.7399872520730.0800127479273982







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61106.819995920313106.543577788726107.0964140519
62106.819995920313106.429091615571107.210900225054
63106.819995920313106.34124194648107.298749894146
64106.819995920313106.267180798001107.372811042624
65106.819995920313106.201931399853107.438060440773
66106.819995920313106.142941311402107.497050529223
67106.819995920313106.088694248332107.551297592294
68106.819995920313106.038202259915107.60178958071
69106.819995920313105.990779109441107.649212731185
70106.819995920313105.94592515005107.694066690576
71106.819995920313105.903263187493107.736728653133
72106.819995920313105.862500178589107.777491662036

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 106.819995920313 & 106.543577788726 & 107.0964140519 \tabularnewline
62 & 106.819995920313 & 106.429091615571 & 107.210900225054 \tabularnewline
63 & 106.819995920313 & 106.34124194648 & 107.298749894146 \tabularnewline
64 & 106.819995920313 & 106.267180798001 & 107.372811042624 \tabularnewline
65 & 106.819995920313 & 106.201931399853 & 107.438060440773 \tabularnewline
66 & 106.819995920313 & 106.142941311402 & 107.497050529223 \tabularnewline
67 & 106.819995920313 & 106.088694248332 & 107.551297592294 \tabularnewline
68 & 106.819995920313 & 106.038202259915 & 107.60178958071 \tabularnewline
69 & 106.819995920313 & 105.990779109441 & 107.649212731185 \tabularnewline
70 & 106.819995920313 & 105.94592515005 & 107.694066690576 \tabularnewline
71 & 106.819995920313 & 105.903263187493 & 107.736728653133 \tabularnewline
72 & 106.819995920313 & 105.862500178589 & 107.777491662036 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294922&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]106.819995920313[/C][C]106.543577788726[/C][C]107.0964140519[/C][/ROW]
[ROW][C]62[/C][C]106.819995920313[/C][C]106.429091615571[/C][C]107.210900225054[/C][/ROW]
[ROW][C]63[/C][C]106.819995920313[/C][C]106.34124194648[/C][C]107.298749894146[/C][/ROW]
[ROW][C]64[/C][C]106.819995920313[/C][C]106.267180798001[/C][C]107.372811042624[/C][/ROW]
[ROW][C]65[/C][C]106.819995920313[/C][C]106.201931399853[/C][C]107.438060440773[/C][/ROW]
[ROW][C]66[/C][C]106.819995920313[/C][C]106.142941311402[/C][C]107.497050529223[/C][/ROW]
[ROW][C]67[/C][C]106.819995920313[/C][C]106.088694248332[/C][C]107.551297592294[/C][/ROW]
[ROW][C]68[/C][C]106.819995920313[/C][C]106.038202259915[/C][C]107.60178958071[/C][/ROW]
[ROW][C]69[/C][C]106.819995920313[/C][C]105.990779109441[/C][C]107.649212731185[/C][/ROW]
[ROW][C]70[/C][C]106.819995920313[/C][C]105.94592515005[/C][C]107.694066690576[/C][/ROW]
[ROW][C]71[/C][C]106.819995920313[/C][C]105.903263187493[/C][C]107.736728653133[/C][/ROW]
[ROW][C]72[/C][C]106.819995920313[/C][C]105.862500178589[/C][C]107.777491662036[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294922&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294922&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
61106.819995920313106.543577788726107.0964140519
62106.819995920313106.429091615571107.210900225054
63106.819995920313106.34124194648107.298749894146
64106.819995920313106.267180798001107.372811042624
65106.819995920313106.201931399853107.438060440773
66106.819995920313106.142941311402107.497050529223
67106.819995920313106.088694248332107.551297592294
68106.819995920313106.038202259915107.60178958071
69106.819995920313105.990779109441107.649212731185
70106.819995920313105.94592515005107.694066690576
71106.819995920313105.903263187493107.736728653133
72106.819995920313105.862500178589107.777491662036



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