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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 11 Jan 2013 16:11:16 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/11/t1357938710ikmirtargtcegup.htm/, Retrieved Sat, 04 May 2024 22:29:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205199, Retrieved Sat, 04 May 2024 22:29:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2013-01-11 21:11:16] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
98.68
99.21
99.36
100.72
102.27
102.62
102.97
102.88
102.9
103.01
103.02
103.73
104.18
103.73
103.78
103.61
103.84
103.86
104.14
104.05
104.01
104.49
104.83
104.78
104.95
105.28
105.28
105.91
106.81
106.39
107.02
106.92
107.01
106.79
107.41
107.13
107.54
108.48
108.5
108.27
109.42
110.09
109.98
109.99
109.54
108.85
106.76
107.56
106.24
108.85
111.11
111.85
110.68
106.96
106.74
105.73
105.66
104.01
106.86
108.84
110.66
106.93
103.74
101.64
102.17
101.13
100.64
100.43
99.77
99.79
99.47
99.63




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205199&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205199&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205199&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 time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0313134853583391
gamma0.0896131058144704

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0313134853583391 \tabularnewline
gamma & 0.0896131058144704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205199&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]0.0313134853583391[/C][/ROW]
[ROW][C]gamma[/C][C]0.0896131058144704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205199&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205199&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
beta0.0313134853583391
gamma0.0896131058144704







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13104.18102.9064035536221.27359644637811
14103.73103.837545785461-0.107545785460815
15103.78103.886634803032-0.106634803032009
16103.61103.70012729274-0.0901272927402346
17103.84103.8982464176-0.0582464176002873
18103.86103.934250207149-0.0742502071490208
19104.14105.236951880244-1.09695188024438
20104.05103.7827670095260.267232990474199
21104.01103.8588213217940.151178678206435
22104.49103.9837087916860.506291208314096
23104.83104.4977797762750.332220223724946
24104.78105.630138797072-0.850138797072162
25104.95105.303592773973-0.353592773973489
26105.28104.5575511527830.722448847217308
27105.28105.416012827318-0.136012827318311
28105.91105.1753008090670.734699190932588
29106.81106.2053322701350.604667729865142
30106.39106.927174309219-0.537174309219452
31107.02107.807178102903-0.787178102903155
32106.92106.6695030897870.25049691021286
33107.01106.7393655293920.270634470607817
34106.79107.002126830241-0.212126830240962
35107.41106.7954486472150.614551352784744
36107.13108.235463203393-1.10546320339304
37107.54107.663995815448-0.123995815448083
38108.48107.1435735124281.33642648757231
39108.5108.643472169457-0.143472169456786
40108.27108.41522389482-0.145223894819651
41109.42108.5684389510040.851561048996231
42110.09109.5433975292480.546602470751722
43109.98111.592487897696-1.61248789769624
44109.99109.6320653392340.357934660766205
45109.54109.81933359738-0.279333597380273
46108.85109.530619569642-0.680619569641948
47106.76108.840561401912-2.08056140191204
48107.56107.4853996293680.0746003706318419
49106.24108.035869552339-1.79586955233886
50108.85105.7390703200063.11092967999375
51111.11108.9575649289072.15243507109253
52111.85111.0343428385760.815657161424383
53110.68112.197887476032-1.51788747603241
54106.96110.774261232041-3.81426123204101
55106.74108.260443733178-1.52044373317831
56105.73106.245418263058-0.515418263057512
57105.66105.3845749129890.27542508701103
58104.01105.486272481623-1.4762724816234
59106.86103.812546561853.04745343814989
60108.84107.5500919789141.28990802108584
61110.66109.322355265381.33764473462041
62106.93110.235610819462-3.30561081946229
63103.74106.937292935347-3.19729293534716
64101.64103.416158541542-1.77615854154242
65102.17101.6293391586550.540660841344803
66101.13101.987722447404-0.857722447403745
67100.64102.169730057446-1.52973005744579
68100.4399.98200719184380.447992808156158
6999.7799.9398964229408-0.169896422940852
7099.7999.43092706379140.359072936208619
7199.4799.4809362159269-0.0109362159269324
7299.6399.9017893755851-0.271789375585072

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 104.18 & 102.906403553622 & 1.27359644637811 \tabularnewline
14 & 103.73 & 103.837545785461 & -0.107545785460815 \tabularnewline
15 & 103.78 & 103.886634803032 & -0.106634803032009 \tabularnewline
16 & 103.61 & 103.70012729274 & -0.0901272927402346 \tabularnewline
17 & 103.84 & 103.8982464176 & -0.0582464176002873 \tabularnewline
18 & 103.86 & 103.934250207149 & -0.0742502071490208 \tabularnewline
19 & 104.14 & 105.236951880244 & -1.09695188024438 \tabularnewline
20 & 104.05 & 103.782767009526 & 0.267232990474199 \tabularnewline
21 & 104.01 & 103.858821321794 & 0.151178678206435 \tabularnewline
22 & 104.49 & 103.983708791686 & 0.506291208314096 \tabularnewline
23 & 104.83 & 104.497779776275 & 0.332220223724946 \tabularnewline
24 & 104.78 & 105.630138797072 & -0.850138797072162 \tabularnewline
25 & 104.95 & 105.303592773973 & -0.353592773973489 \tabularnewline
26 & 105.28 & 104.557551152783 & 0.722448847217308 \tabularnewline
27 & 105.28 & 105.416012827318 & -0.136012827318311 \tabularnewline
28 & 105.91 & 105.175300809067 & 0.734699190932588 \tabularnewline
29 & 106.81 & 106.205332270135 & 0.604667729865142 \tabularnewline
30 & 106.39 & 106.927174309219 & -0.537174309219452 \tabularnewline
31 & 107.02 & 107.807178102903 & -0.787178102903155 \tabularnewline
32 & 106.92 & 106.669503089787 & 0.25049691021286 \tabularnewline
33 & 107.01 & 106.739365529392 & 0.270634470607817 \tabularnewline
34 & 106.79 & 107.002126830241 & -0.212126830240962 \tabularnewline
35 & 107.41 & 106.795448647215 & 0.614551352784744 \tabularnewline
36 & 107.13 & 108.235463203393 & -1.10546320339304 \tabularnewline
37 & 107.54 & 107.663995815448 & -0.123995815448083 \tabularnewline
38 & 108.48 & 107.143573512428 & 1.33642648757231 \tabularnewline
39 & 108.5 & 108.643472169457 & -0.143472169456786 \tabularnewline
40 & 108.27 & 108.41522389482 & -0.145223894819651 \tabularnewline
41 & 109.42 & 108.568438951004 & 0.851561048996231 \tabularnewline
42 & 110.09 & 109.543397529248 & 0.546602470751722 \tabularnewline
43 & 109.98 & 111.592487897696 & -1.61248789769624 \tabularnewline
44 & 109.99 & 109.632065339234 & 0.357934660766205 \tabularnewline
45 & 109.54 & 109.81933359738 & -0.279333597380273 \tabularnewline
46 & 108.85 & 109.530619569642 & -0.680619569641948 \tabularnewline
47 & 106.76 & 108.840561401912 & -2.08056140191204 \tabularnewline
48 & 107.56 & 107.485399629368 & 0.0746003706318419 \tabularnewline
49 & 106.24 & 108.035869552339 & -1.79586955233886 \tabularnewline
50 & 108.85 & 105.739070320006 & 3.11092967999375 \tabularnewline
51 & 111.11 & 108.957564928907 & 2.15243507109253 \tabularnewline
52 & 111.85 & 111.034342838576 & 0.815657161424383 \tabularnewline
53 & 110.68 & 112.197887476032 & -1.51788747603241 \tabularnewline
54 & 106.96 & 110.774261232041 & -3.81426123204101 \tabularnewline
55 & 106.74 & 108.260443733178 & -1.52044373317831 \tabularnewline
56 & 105.73 & 106.245418263058 & -0.515418263057512 \tabularnewline
57 & 105.66 & 105.384574912989 & 0.27542508701103 \tabularnewline
58 & 104.01 & 105.486272481623 & -1.4762724816234 \tabularnewline
59 & 106.86 & 103.81254656185 & 3.04745343814989 \tabularnewline
60 & 108.84 & 107.550091978914 & 1.28990802108584 \tabularnewline
61 & 110.66 & 109.32235526538 & 1.33764473462041 \tabularnewline
62 & 106.93 & 110.235610819462 & -3.30561081946229 \tabularnewline
63 & 103.74 & 106.937292935347 & -3.19729293534716 \tabularnewline
64 & 101.64 & 103.416158541542 & -1.77615854154242 \tabularnewline
65 & 102.17 & 101.629339158655 & 0.540660841344803 \tabularnewline
66 & 101.13 & 101.987722447404 & -0.857722447403745 \tabularnewline
67 & 100.64 & 102.169730057446 & -1.52973005744579 \tabularnewline
68 & 100.43 & 99.9820071918438 & 0.447992808156158 \tabularnewline
69 & 99.77 & 99.9398964229408 & -0.169896422940852 \tabularnewline
70 & 99.79 & 99.4309270637914 & 0.359072936208619 \tabularnewline
71 & 99.47 & 99.4809362159269 & -0.0109362159269324 \tabularnewline
72 & 99.63 & 99.9017893755851 & -0.271789375585072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205199&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]104.18[/C][C]102.906403553622[/C][C]1.27359644637811[/C][/ROW]
[ROW][C]14[/C][C]103.73[/C][C]103.837545785461[/C][C]-0.107545785460815[/C][/ROW]
[ROW][C]15[/C][C]103.78[/C][C]103.886634803032[/C][C]-0.106634803032009[/C][/ROW]
[ROW][C]16[/C][C]103.61[/C][C]103.70012729274[/C][C]-0.0901272927402346[/C][/ROW]
[ROW][C]17[/C][C]103.84[/C][C]103.8982464176[/C][C]-0.0582464176002873[/C][/ROW]
[ROW][C]18[/C][C]103.86[/C][C]103.934250207149[/C][C]-0.0742502071490208[/C][/ROW]
[ROW][C]19[/C][C]104.14[/C][C]105.236951880244[/C][C]-1.09695188024438[/C][/ROW]
[ROW][C]20[/C][C]104.05[/C][C]103.782767009526[/C][C]0.267232990474199[/C][/ROW]
[ROW][C]21[/C][C]104.01[/C][C]103.858821321794[/C][C]0.151178678206435[/C][/ROW]
[ROW][C]22[/C][C]104.49[/C][C]103.983708791686[/C][C]0.506291208314096[/C][/ROW]
[ROW][C]23[/C][C]104.83[/C][C]104.497779776275[/C][C]0.332220223724946[/C][/ROW]
[ROW][C]24[/C][C]104.78[/C][C]105.630138797072[/C][C]-0.850138797072162[/C][/ROW]
[ROW][C]25[/C][C]104.95[/C][C]105.303592773973[/C][C]-0.353592773973489[/C][/ROW]
[ROW][C]26[/C][C]105.28[/C][C]104.557551152783[/C][C]0.722448847217308[/C][/ROW]
[ROW][C]27[/C][C]105.28[/C][C]105.416012827318[/C][C]-0.136012827318311[/C][/ROW]
[ROW][C]28[/C][C]105.91[/C][C]105.175300809067[/C][C]0.734699190932588[/C][/ROW]
[ROW][C]29[/C][C]106.81[/C][C]106.205332270135[/C][C]0.604667729865142[/C][/ROW]
[ROW][C]30[/C][C]106.39[/C][C]106.927174309219[/C][C]-0.537174309219452[/C][/ROW]
[ROW][C]31[/C][C]107.02[/C][C]107.807178102903[/C][C]-0.787178102903155[/C][/ROW]
[ROW][C]32[/C][C]106.92[/C][C]106.669503089787[/C][C]0.25049691021286[/C][/ROW]
[ROW][C]33[/C][C]107.01[/C][C]106.739365529392[/C][C]0.270634470607817[/C][/ROW]
[ROW][C]34[/C][C]106.79[/C][C]107.002126830241[/C][C]-0.212126830240962[/C][/ROW]
[ROW][C]35[/C][C]107.41[/C][C]106.795448647215[/C][C]0.614551352784744[/C][/ROW]
[ROW][C]36[/C][C]107.13[/C][C]108.235463203393[/C][C]-1.10546320339304[/C][/ROW]
[ROW][C]37[/C][C]107.54[/C][C]107.663995815448[/C][C]-0.123995815448083[/C][/ROW]
[ROW][C]38[/C][C]108.48[/C][C]107.143573512428[/C][C]1.33642648757231[/C][/ROW]
[ROW][C]39[/C][C]108.5[/C][C]108.643472169457[/C][C]-0.143472169456786[/C][/ROW]
[ROW][C]40[/C][C]108.27[/C][C]108.41522389482[/C][C]-0.145223894819651[/C][/ROW]
[ROW][C]41[/C][C]109.42[/C][C]108.568438951004[/C][C]0.851561048996231[/C][/ROW]
[ROW][C]42[/C][C]110.09[/C][C]109.543397529248[/C][C]0.546602470751722[/C][/ROW]
[ROW][C]43[/C][C]109.98[/C][C]111.592487897696[/C][C]-1.61248789769624[/C][/ROW]
[ROW][C]44[/C][C]109.99[/C][C]109.632065339234[/C][C]0.357934660766205[/C][/ROW]
[ROW][C]45[/C][C]109.54[/C][C]109.81933359738[/C][C]-0.279333597380273[/C][/ROW]
[ROW][C]46[/C][C]108.85[/C][C]109.530619569642[/C][C]-0.680619569641948[/C][/ROW]
[ROW][C]47[/C][C]106.76[/C][C]108.840561401912[/C][C]-2.08056140191204[/C][/ROW]
[ROW][C]48[/C][C]107.56[/C][C]107.485399629368[/C][C]0.0746003706318419[/C][/ROW]
[ROW][C]49[/C][C]106.24[/C][C]108.035869552339[/C][C]-1.79586955233886[/C][/ROW]
[ROW][C]50[/C][C]108.85[/C][C]105.739070320006[/C][C]3.11092967999375[/C][/ROW]
[ROW][C]51[/C][C]111.11[/C][C]108.957564928907[/C][C]2.15243507109253[/C][/ROW]
[ROW][C]52[/C][C]111.85[/C][C]111.034342838576[/C][C]0.815657161424383[/C][/ROW]
[ROW][C]53[/C][C]110.68[/C][C]112.197887476032[/C][C]-1.51788747603241[/C][/ROW]
[ROW][C]54[/C][C]106.96[/C][C]110.774261232041[/C][C]-3.81426123204101[/C][/ROW]
[ROW][C]55[/C][C]106.74[/C][C]108.260443733178[/C][C]-1.52044373317831[/C][/ROW]
[ROW][C]56[/C][C]105.73[/C][C]106.245418263058[/C][C]-0.515418263057512[/C][/ROW]
[ROW][C]57[/C][C]105.66[/C][C]105.384574912989[/C][C]0.27542508701103[/C][/ROW]
[ROW][C]58[/C][C]104.01[/C][C]105.486272481623[/C][C]-1.4762724816234[/C][/ROW]
[ROW][C]59[/C][C]106.86[/C][C]103.81254656185[/C][C]3.04745343814989[/C][/ROW]
[ROW][C]60[/C][C]108.84[/C][C]107.550091978914[/C][C]1.28990802108584[/C][/ROW]
[ROW][C]61[/C][C]110.66[/C][C]109.32235526538[/C][C]1.33764473462041[/C][/ROW]
[ROW][C]62[/C][C]106.93[/C][C]110.235610819462[/C][C]-3.30561081946229[/C][/ROW]
[ROW][C]63[/C][C]103.74[/C][C]106.937292935347[/C][C]-3.19729293534716[/C][/ROW]
[ROW][C]64[/C][C]101.64[/C][C]103.416158541542[/C][C]-1.77615854154242[/C][/ROW]
[ROW][C]65[/C][C]102.17[/C][C]101.629339158655[/C][C]0.540660841344803[/C][/ROW]
[ROW][C]66[/C][C]101.13[/C][C]101.987722447404[/C][C]-0.857722447403745[/C][/ROW]
[ROW][C]67[/C][C]100.64[/C][C]102.169730057446[/C][C]-1.52973005744579[/C][/ROW]
[ROW][C]68[/C][C]100.43[/C][C]99.9820071918438[/C][C]0.447992808156158[/C][/ROW]
[ROW][C]69[/C][C]99.77[/C][C]99.9398964229408[/C][C]-0.169896422940852[/C][/ROW]
[ROW][C]70[/C][C]99.79[/C][C]99.4309270637914[/C][C]0.359072936208619[/C][/ROW]
[ROW][C]71[/C][C]99.47[/C][C]99.4809362159269[/C][C]-0.0109362159269324[/C][/ROW]
[ROW][C]72[/C][C]99.63[/C][C]99.9017893755851[/C][C]-0.271789375585072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205199&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205199&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
13104.18102.9064035536221.27359644637811
14103.73103.837545785461-0.107545785460815
15103.78103.886634803032-0.106634803032009
16103.61103.70012729274-0.0901272927402346
17103.84103.8982464176-0.0582464176002873
18103.86103.934250207149-0.0742502071490208
19104.14105.236951880244-1.09695188024438
20104.05103.7827670095260.267232990474199
21104.01103.8588213217940.151178678206435
22104.49103.9837087916860.506291208314096
23104.83104.4977797762750.332220223724946
24104.78105.630138797072-0.850138797072162
25104.95105.303592773973-0.353592773973489
26105.28104.5575511527830.722448847217308
27105.28105.416012827318-0.136012827318311
28105.91105.1753008090670.734699190932588
29106.81106.2053322701350.604667729865142
30106.39106.927174309219-0.537174309219452
31107.02107.807178102903-0.787178102903155
32106.92106.6695030897870.25049691021286
33107.01106.7393655293920.270634470607817
34106.79107.002126830241-0.212126830240962
35107.41106.7954486472150.614551352784744
36107.13108.235463203393-1.10546320339304
37107.54107.663995815448-0.123995815448083
38108.48107.1435735124281.33642648757231
39108.5108.643472169457-0.143472169456786
40108.27108.41522389482-0.145223894819651
41109.42108.5684389510040.851561048996231
42110.09109.5433975292480.546602470751722
43109.98111.592487897696-1.61248789769624
44109.99109.6320653392340.357934660766205
45109.54109.81933359738-0.279333597380273
46108.85109.530619569642-0.680619569641948
47106.76108.840561401912-2.08056140191204
48107.56107.4853996293680.0746003706318419
49106.24108.035869552339-1.79586955233886
50108.85105.7390703200063.11092967999375
51111.11108.9575649289072.15243507109253
52111.85111.0343428385760.815657161424383
53110.68112.197887476032-1.51788747603241
54106.96110.774261232041-3.81426123204101
55106.74108.260443733178-1.52044373317831
56105.73106.245418263058-0.515418263057512
57105.66105.3845749129890.27542508701103
58104.01105.486272481623-1.4762724816234
59106.86103.812546561853.04745343814989
60108.84107.5500919789141.28990802108584
61110.66109.322355265381.33764473462041
62106.93110.235610819462-3.30561081946229
63103.74106.937292935347-3.19729293534716
64101.64103.416158541542-1.77615854154242
65102.17101.6293391586550.540660841344803
66101.13101.987722447404-0.857722447403745
67100.64102.169730057446-1.52973005744579
68100.4399.98200719184380.447992808156158
6999.7799.9398964229408-0.169896422940852
7099.7999.43092706379140.359072936208619
7199.4799.4809362159269-0.0109362159269324
7299.6399.9017893755851-0.271789375585072







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.815784963599597.2920713163253102.339498610874
7499.142538480976595.526967194978102.758109766975
7598.950953950747394.451200868607103.450707032888
7698.538058189026993.2702670924126103.805849285641
7798.478317992413692.4904282241067104.466207760721
7898.236394513337491.5811248968841104.891664129791
7999.206421143665191.8347762117089106.578066075621
8098.566646743374390.6112577126983106.52203577405
8198.080043075260189.5473726139363106.612713536584
8297.746585609967288.6376449010697106.855526318865
8397.432195737411487.755787969298107.108603505525
8497.843753376453978.115867887128117.57163886578

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 99.8157849635995 & 97.2920713163253 & 102.339498610874 \tabularnewline
74 & 99.1425384809765 & 95.526967194978 & 102.758109766975 \tabularnewline
75 & 98.9509539507473 & 94.451200868607 & 103.450707032888 \tabularnewline
76 & 98.5380581890269 & 93.2702670924126 & 103.805849285641 \tabularnewline
77 & 98.4783179924136 & 92.4904282241067 & 104.466207760721 \tabularnewline
78 & 98.2363945133374 & 91.5811248968841 & 104.891664129791 \tabularnewline
79 & 99.2064211436651 & 91.8347762117089 & 106.578066075621 \tabularnewline
80 & 98.5666467433743 & 90.6112577126983 & 106.52203577405 \tabularnewline
81 & 98.0800430752601 & 89.5473726139363 & 106.612713536584 \tabularnewline
82 & 97.7465856099672 & 88.6376449010697 & 106.855526318865 \tabularnewline
83 & 97.4321957374114 & 87.755787969298 & 107.108603505525 \tabularnewline
84 & 97.8437533764539 & 78.115867887128 & 117.57163886578 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205199&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]99.8157849635995[/C][C]97.2920713163253[/C][C]102.339498610874[/C][/ROW]
[ROW][C]74[/C][C]99.1425384809765[/C][C]95.526967194978[/C][C]102.758109766975[/C][/ROW]
[ROW][C]75[/C][C]98.9509539507473[/C][C]94.451200868607[/C][C]103.450707032888[/C][/ROW]
[ROW][C]76[/C][C]98.5380581890269[/C][C]93.2702670924126[/C][C]103.805849285641[/C][/ROW]
[ROW][C]77[/C][C]98.4783179924136[/C][C]92.4904282241067[/C][C]104.466207760721[/C][/ROW]
[ROW][C]78[/C][C]98.2363945133374[/C][C]91.5811248968841[/C][C]104.891664129791[/C][/ROW]
[ROW][C]79[/C][C]99.2064211436651[/C][C]91.8347762117089[/C][C]106.578066075621[/C][/ROW]
[ROW][C]80[/C][C]98.5666467433743[/C][C]90.6112577126983[/C][C]106.52203577405[/C][/ROW]
[ROW][C]81[/C][C]98.0800430752601[/C][C]89.5473726139363[/C][C]106.612713536584[/C][/ROW]
[ROW][C]82[/C][C]97.7465856099672[/C][C]88.6376449010697[/C][C]106.855526318865[/C][/ROW]
[ROW][C]83[/C][C]97.4321957374114[/C][C]87.755787969298[/C][C]107.108603505525[/C][/ROW]
[ROW][C]84[/C][C]97.8437533764539[/C][C]78.115867887128[/C][C]117.57163886578[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205199&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205199&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
7399.815784963599597.2920713163253102.339498610874
7499.142538480976595.526967194978102.758109766975
7598.950953950747394.451200868607103.450707032888
7698.538058189026993.2702670924126103.805849285641
7798.478317992413692.4904282241067104.466207760721
7898.236394513337491.5811248968841104.891664129791
7999.206421143665191.8347762117089106.578066075621
8098.566646743374390.6112577126983106.52203577405
8198.080043075260189.5473726139363106.612713536584
8297.746585609967288.6376449010697106.855526318865
8397.432195737411487.755787969298107.108603505525
8497.843753376453978.115867887128117.57163886578



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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')