Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 26 Nov 2016 19:19:52 +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/Nov/26/t1480188013ypmwrtqoxjvku2e.htm/, Retrieved Sat, 04 May 2024 02:42:32 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 02:42:32 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
97.78
97.73
97.61
97.69
97.68
97.67
97.67
97.96
98.27
99.52
99.59
99.75
99.75
99.8
99.99
100.25
100.08
100.08
100.08
100.06
101
101.81
101.82
101.96
101.96
101.93
102.03
102.11
102.07
102.34
102.34
102.33
102.77
103.08
103.38
103.44
99.1
99.15
99.21
99.01
99.08
99.11
100.11
100.31
100.55
101.38
101.49
101.5
100.69
100.8
100.58
100.34
100.38
100.33
101.06
101.15
101.36
101.98
102.24
102.34
101.91
101.8
101.8
101.73
101.8
101.81
102.28
101.7
101.7
102.37
102.43
102.41




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'Sir Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.924039247655013
beta0.0247732549460181
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.924039247655013 \tabularnewline
beta & 0.0247732549460181 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.924039247655013[/C][/ROW]
[ROW][C]beta[/C][C]0.0247732549460181[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha0.924039247655013
beta0.0247732549460181
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1399.7598.55555555555561.19444444444444
1499.899.74604349660520.0539565033947582
1599.99100.010577628446-0.0205776284462047
16100.25100.267851578554-0.0178515785539304
17100.08100.118069190393-0.0380691903925481
18100.08100.122066809388-0.0420668093879328
19100.08100.0355741675220.0444258324775717
20100.06100.422521093535-0.362521093535037
21101100.4280511178040.571948882195798
22101.81102.229744153617-0.419744153617287
23101.82101.924632012935-0.104632012934644
24101.96102.004550678131-0.0445506781309462
25101.96102.069281256645-0.109281256644735
26101.93101.957250078578-0.0272500785779926
27102.03102.128032454476-0.0980324544755007
28102.11102.299117105869-0.189117105868704
29102.07101.9707973134040.099202686595973
30102.34102.0857326355640.254267364436345
31102.34102.2708147321020.0691852678983906
32102.33102.641475418371-0.311475418370577
33102.77102.7580722671810.01192773281862
34103.08103.947049905561-0.867049905560748
35103.38103.2224022411960.157597758803675
36103.44103.525054544607-0.0850545446070043
3799.1103.522372998569-4.42237299856876
3899.1599.3073059769339-0.157305976933856
3999.2199.2257568011632-0.0157568011631781
4099.0199.3410538218396-0.331053821839546
4199.0898.77533607799250.304663922007478
4299.1198.9684639392650.141536060734964
43100.1198.90929779146121.20070220853883
44100.31100.1964902227980.113509777202367
45100.55100.639965504858-0.0899655048581138
46101.38101.57529899108-0.195298991080193
47101.49101.4718629041460.0181370958537599
48101.5101.546677932122-0.0466779321222361
49100.69101.170332308134-0.480332308133924
50100.8100.932422765164-0.13242276516435
51100.58100.89576791369-0.315767913690493
52100.34100.714174078544-0.374174078544357
53100.38100.1601954233970.219804576602712
54100.33100.2638703497780.0661296502219955
55101.06100.2151063596240.844893640375531
56101.15101.0824143597850.0675856402151567
57101.36101.458427136294-0.0984271362938074
58101.98102.368176167961-0.388176167961447
59102.24102.0885471610520.151452838947648
60102.34102.270499957370.0695000426299117
61101.91101.960098300233-0.0500983002332163
62101.8102.147549692522-0.347549692521937
63101.8101.894637867749-0.0946378677486592
64101.73101.914458073463-0.184458073462935
65101.8101.5867641705550.213235829444912
66101.81101.6784063376320.131593662368417
67102.28101.756498013310.523501986690036
68101.7102.267634337668-0.567634337668224
69101.7102.029379082256-0.329379082256452
70102.37102.683733683835-0.313733683835039
71102.43102.495610963181-0.0656109631805464
72102.41102.447522067584-0.0375220675844474

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 99.75 & 98.5555555555556 & 1.19444444444444 \tabularnewline
14 & 99.8 & 99.7460434966052 & 0.0539565033947582 \tabularnewline
15 & 99.99 & 100.010577628446 & -0.0205776284462047 \tabularnewline
16 & 100.25 & 100.267851578554 & -0.0178515785539304 \tabularnewline
17 & 100.08 & 100.118069190393 & -0.0380691903925481 \tabularnewline
18 & 100.08 & 100.122066809388 & -0.0420668093879328 \tabularnewline
19 & 100.08 & 100.035574167522 & 0.0444258324775717 \tabularnewline
20 & 100.06 & 100.422521093535 & -0.362521093535037 \tabularnewline
21 & 101 & 100.428051117804 & 0.571948882195798 \tabularnewline
22 & 101.81 & 102.229744153617 & -0.419744153617287 \tabularnewline
23 & 101.82 & 101.924632012935 & -0.104632012934644 \tabularnewline
24 & 101.96 & 102.004550678131 & -0.0445506781309462 \tabularnewline
25 & 101.96 & 102.069281256645 & -0.109281256644735 \tabularnewline
26 & 101.93 & 101.957250078578 & -0.0272500785779926 \tabularnewline
27 & 102.03 & 102.128032454476 & -0.0980324544755007 \tabularnewline
28 & 102.11 & 102.299117105869 & -0.189117105868704 \tabularnewline
29 & 102.07 & 101.970797313404 & 0.099202686595973 \tabularnewline
30 & 102.34 & 102.085732635564 & 0.254267364436345 \tabularnewline
31 & 102.34 & 102.270814732102 & 0.0691852678983906 \tabularnewline
32 & 102.33 & 102.641475418371 & -0.311475418370577 \tabularnewline
33 & 102.77 & 102.758072267181 & 0.01192773281862 \tabularnewline
34 & 103.08 & 103.947049905561 & -0.867049905560748 \tabularnewline
35 & 103.38 & 103.222402241196 & 0.157597758803675 \tabularnewline
36 & 103.44 & 103.525054544607 & -0.0850545446070043 \tabularnewline
37 & 99.1 & 103.522372998569 & -4.42237299856876 \tabularnewline
38 & 99.15 & 99.3073059769339 & -0.157305976933856 \tabularnewline
39 & 99.21 & 99.2257568011632 & -0.0157568011631781 \tabularnewline
40 & 99.01 & 99.3410538218396 & -0.331053821839546 \tabularnewline
41 & 99.08 & 98.7753360779925 & 0.304663922007478 \tabularnewline
42 & 99.11 & 98.968463939265 & 0.141536060734964 \tabularnewline
43 & 100.11 & 98.9092977914612 & 1.20070220853883 \tabularnewline
44 & 100.31 & 100.196490222798 & 0.113509777202367 \tabularnewline
45 & 100.55 & 100.639965504858 & -0.0899655048581138 \tabularnewline
46 & 101.38 & 101.57529899108 & -0.195298991080193 \tabularnewline
47 & 101.49 & 101.471862904146 & 0.0181370958537599 \tabularnewline
48 & 101.5 & 101.546677932122 & -0.0466779321222361 \tabularnewline
49 & 100.69 & 101.170332308134 & -0.480332308133924 \tabularnewline
50 & 100.8 & 100.932422765164 & -0.13242276516435 \tabularnewline
51 & 100.58 & 100.89576791369 & -0.315767913690493 \tabularnewline
52 & 100.34 & 100.714174078544 & -0.374174078544357 \tabularnewline
53 & 100.38 & 100.160195423397 & 0.219804576602712 \tabularnewline
54 & 100.33 & 100.263870349778 & 0.0661296502219955 \tabularnewline
55 & 101.06 & 100.215106359624 & 0.844893640375531 \tabularnewline
56 & 101.15 & 101.082414359785 & 0.0675856402151567 \tabularnewline
57 & 101.36 & 101.458427136294 & -0.0984271362938074 \tabularnewline
58 & 101.98 & 102.368176167961 & -0.388176167961447 \tabularnewline
59 & 102.24 & 102.088547161052 & 0.151452838947648 \tabularnewline
60 & 102.34 & 102.27049995737 & 0.0695000426299117 \tabularnewline
61 & 101.91 & 101.960098300233 & -0.0500983002332163 \tabularnewline
62 & 101.8 & 102.147549692522 & -0.347549692521937 \tabularnewline
63 & 101.8 & 101.894637867749 & -0.0946378677486592 \tabularnewline
64 & 101.73 & 101.914458073463 & -0.184458073462935 \tabularnewline
65 & 101.8 & 101.586764170555 & 0.213235829444912 \tabularnewline
66 & 101.81 & 101.678406337632 & 0.131593662368417 \tabularnewline
67 & 102.28 & 101.75649801331 & 0.523501986690036 \tabularnewline
68 & 101.7 & 102.267634337668 & -0.567634337668224 \tabularnewline
69 & 101.7 & 102.029379082256 & -0.329379082256452 \tabularnewline
70 & 102.37 & 102.683733683835 & -0.313733683835039 \tabularnewline
71 & 102.43 & 102.495610963181 & -0.0656109631805464 \tabularnewline
72 & 102.41 & 102.447522067584 & -0.0375220675844474 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]99.75[/C][C]98.5555555555556[/C][C]1.19444444444444[/C][/ROW]
[ROW][C]14[/C][C]99.8[/C][C]99.7460434966052[/C][C]0.0539565033947582[/C][/ROW]
[ROW][C]15[/C][C]99.99[/C][C]100.010577628446[/C][C]-0.0205776284462047[/C][/ROW]
[ROW][C]16[/C][C]100.25[/C][C]100.267851578554[/C][C]-0.0178515785539304[/C][/ROW]
[ROW][C]17[/C][C]100.08[/C][C]100.118069190393[/C][C]-0.0380691903925481[/C][/ROW]
[ROW][C]18[/C][C]100.08[/C][C]100.122066809388[/C][C]-0.0420668093879328[/C][/ROW]
[ROW][C]19[/C][C]100.08[/C][C]100.035574167522[/C][C]0.0444258324775717[/C][/ROW]
[ROW][C]20[/C][C]100.06[/C][C]100.422521093535[/C][C]-0.362521093535037[/C][/ROW]
[ROW][C]21[/C][C]101[/C][C]100.428051117804[/C][C]0.571948882195798[/C][/ROW]
[ROW][C]22[/C][C]101.81[/C][C]102.229744153617[/C][C]-0.419744153617287[/C][/ROW]
[ROW][C]23[/C][C]101.82[/C][C]101.924632012935[/C][C]-0.104632012934644[/C][/ROW]
[ROW][C]24[/C][C]101.96[/C][C]102.004550678131[/C][C]-0.0445506781309462[/C][/ROW]
[ROW][C]25[/C][C]101.96[/C][C]102.069281256645[/C][C]-0.109281256644735[/C][/ROW]
[ROW][C]26[/C][C]101.93[/C][C]101.957250078578[/C][C]-0.0272500785779926[/C][/ROW]
[ROW][C]27[/C][C]102.03[/C][C]102.128032454476[/C][C]-0.0980324544755007[/C][/ROW]
[ROW][C]28[/C][C]102.11[/C][C]102.299117105869[/C][C]-0.189117105868704[/C][/ROW]
[ROW][C]29[/C][C]102.07[/C][C]101.970797313404[/C][C]0.099202686595973[/C][/ROW]
[ROW][C]30[/C][C]102.34[/C][C]102.085732635564[/C][C]0.254267364436345[/C][/ROW]
[ROW][C]31[/C][C]102.34[/C][C]102.270814732102[/C][C]0.0691852678983906[/C][/ROW]
[ROW][C]32[/C][C]102.33[/C][C]102.641475418371[/C][C]-0.311475418370577[/C][/ROW]
[ROW][C]33[/C][C]102.77[/C][C]102.758072267181[/C][C]0.01192773281862[/C][/ROW]
[ROW][C]34[/C][C]103.08[/C][C]103.947049905561[/C][C]-0.867049905560748[/C][/ROW]
[ROW][C]35[/C][C]103.38[/C][C]103.222402241196[/C][C]0.157597758803675[/C][/ROW]
[ROW][C]36[/C][C]103.44[/C][C]103.525054544607[/C][C]-0.0850545446070043[/C][/ROW]
[ROW][C]37[/C][C]99.1[/C][C]103.522372998569[/C][C]-4.42237299856876[/C][/ROW]
[ROW][C]38[/C][C]99.15[/C][C]99.3073059769339[/C][C]-0.157305976933856[/C][/ROW]
[ROW][C]39[/C][C]99.21[/C][C]99.2257568011632[/C][C]-0.0157568011631781[/C][/ROW]
[ROW][C]40[/C][C]99.01[/C][C]99.3410538218396[/C][C]-0.331053821839546[/C][/ROW]
[ROW][C]41[/C][C]99.08[/C][C]98.7753360779925[/C][C]0.304663922007478[/C][/ROW]
[ROW][C]42[/C][C]99.11[/C][C]98.968463939265[/C][C]0.141536060734964[/C][/ROW]
[ROW][C]43[/C][C]100.11[/C][C]98.9092977914612[/C][C]1.20070220853883[/C][/ROW]
[ROW][C]44[/C][C]100.31[/C][C]100.196490222798[/C][C]0.113509777202367[/C][/ROW]
[ROW][C]45[/C][C]100.55[/C][C]100.639965504858[/C][C]-0.0899655048581138[/C][/ROW]
[ROW][C]46[/C][C]101.38[/C][C]101.57529899108[/C][C]-0.195298991080193[/C][/ROW]
[ROW][C]47[/C][C]101.49[/C][C]101.471862904146[/C][C]0.0181370958537599[/C][/ROW]
[ROW][C]48[/C][C]101.5[/C][C]101.546677932122[/C][C]-0.0466779321222361[/C][/ROW]
[ROW][C]49[/C][C]100.69[/C][C]101.170332308134[/C][C]-0.480332308133924[/C][/ROW]
[ROW][C]50[/C][C]100.8[/C][C]100.932422765164[/C][C]-0.13242276516435[/C][/ROW]
[ROW][C]51[/C][C]100.58[/C][C]100.89576791369[/C][C]-0.315767913690493[/C][/ROW]
[ROW][C]52[/C][C]100.34[/C][C]100.714174078544[/C][C]-0.374174078544357[/C][/ROW]
[ROW][C]53[/C][C]100.38[/C][C]100.160195423397[/C][C]0.219804576602712[/C][/ROW]
[ROW][C]54[/C][C]100.33[/C][C]100.263870349778[/C][C]0.0661296502219955[/C][/ROW]
[ROW][C]55[/C][C]101.06[/C][C]100.215106359624[/C][C]0.844893640375531[/C][/ROW]
[ROW][C]56[/C][C]101.15[/C][C]101.082414359785[/C][C]0.0675856402151567[/C][/ROW]
[ROW][C]57[/C][C]101.36[/C][C]101.458427136294[/C][C]-0.0984271362938074[/C][/ROW]
[ROW][C]58[/C][C]101.98[/C][C]102.368176167961[/C][C]-0.388176167961447[/C][/ROW]
[ROW][C]59[/C][C]102.24[/C][C]102.088547161052[/C][C]0.151452838947648[/C][/ROW]
[ROW][C]60[/C][C]102.34[/C][C]102.27049995737[/C][C]0.0695000426299117[/C][/ROW]
[ROW][C]61[/C][C]101.91[/C][C]101.960098300233[/C][C]-0.0500983002332163[/C][/ROW]
[ROW][C]62[/C][C]101.8[/C][C]102.147549692522[/C][C]-0.347549692521937[/C][/ROW]
[ROW][C]63[/C][C]101.8[/C][C]101.894637867749[/C][C]-0.0946378677486592[/C][/ROW]
[ROW][C]64[/C][C]101.73[/C][C]101.914458073463[/C][C]-0.184458073462935[/C][/ROW]
[ROW][C]65[/C][C]101.8[/C][C]101.586764170555[/C][C]0.213235829444912[/C][/ROW]
[ROW][C]66[/C][C]101.81[/C][C]101.678406337632[/C][C]0.131593662368417[/C][/ROW]
[ROW][C]67[/C][C]102.28[/C][C]101.75649801331[/C][C]0.523501986690036[/C][/ROW]
[ROW][C]68[/C][C]101.7[/C][C]102.267634337668[/C][C]-0.567634337668224[/C][/ROW]
[ROW][C]69[/C][C]101.7[/C][C]102.029379082256[/C][C]-0.329379082256452[/C][/ROW]
[ROW][C]70[/C][C]102.37[/C][C]102.683733683835[/C][C]-0.313733683835039[/C][/ROW]
[ROW][C]71[/C][C]102.43[/C][C]102.495610963181[/C][C]-0.0656109631805464[/C][/ROW]
[ROW][C]72[/C][C]102.41[/C][C]102.447522067584[/C][C]-0.0375220675844474[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
1399.7598.55555555555561.19444444444444
1499.899.74604349660520.0539565033947582
1599.99100.010577628446-0.0205776284462047
16100.25100.267851578554-0.0178515785539304
17100.08100.118069190393-0.0380691903925481
18100.08100.122066809388-0.0420668093879328
19100.08100.0355741675220.0444258324775717
20100.06100.422521093535-0.362521093535037
21101100.4280511178040.571948882195798
22101.81102.229744153617-0.419744153617287
23101.82101.924632012935-0.104632012934644
24101.96102.004550678131-0.0445506781309462
25101.96102.069281256645-0.109281256644735
26101.93101.957250078578-0.0272500785779926
27102.03102.128032454476-0.0980324544755007
28102.11102.299117105869-0.189117105868704
29102.07101.9707973134040.099202686595973
30102.34102.0857326355640.254267364436345
31102.34102.2708147321020.0691852678983906
32102.33102.641475418371-0.311475418370577
33102.77102.7580722671810.01192773281862
34103.08103.947049905561-0.867049905560748
35103.38103.2224022411960.157597758803675
36103.44103.525054544607-0.0850545446070043
3799.1103.522372998569-4.42237299856876
3899.1599.3073059769339-0.157305976933856
3999.2199.2257568011632-0.0157568011631781
4099.0199.3410538218396-0.331053821839546
4199.0898.77533607799250.304663922007478
4299.1198.9684639392650.141536060734964
43100.1198.90929779146121.20070220853883
44100.31100.1964902227980.113509777202367
45100.55100.639965504858-0.0899655048581138
46101.38101.57529899108-0.195298991080193
47101.49101.4718629041460.0181370958537599
48101.5101.546677932122-0.0466779321222361
49100.69101.170332308134-0.480332308133924
50100.8100.932422765164-0.13242276516435
51100.58100.89576791369-0.315767913690493
52100.34100.714174078544-0.374174078544357
53100.38100.1601954233970.219804576602712
54100.33100.2638703497780.0661296502219955
55101.06100.2151063596240.844893640375531
56101.15101.0824143597850.0675856402151567
57101.36101.458427136294-0.0984271362938074
58101.98102.368176167961-0.388176167961447
59102.24102.0885471610520.151452838947648
60102.34102.270499957370.0695000426299117
61101.91101.960098300233-0.0500983002332163
62101.8102.147549692522-0.347549692521937
63101.8101.894637867749-0.0946378677486592
64101.73101.914458073463-0.184458073462935
65101.8101.5867641705550.213235829444912
66101.81101.6784063376320.131593662368417
67102.28101.756498013310.523501986690036
68101.7102.267634337668-0.567634337668224
69101.7102.029379082256-0.329379082256452
70102.37102.683733683835-0.313733683835039
71102.43102.495610963181-0.0656109631805464
72102.41102.447522067584-0.0375220675844474







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73102.003452084362100.691517212152103.315386956572
74102.190057548214100.383261830616103.996853265812
75102.260918479616100.051083915415104.470753043818
76102.34694320528299.7818796443639104.9120067662
77102.20970567069399.319227953955105.10018338743
78102.08302742331598.887545654636105.278509191993
79102.05119813174198.5655013814263105.536894882055
80101.96563790369998.2008537679043105.730422039494
81102.25291444735598.2176373998022106.288191494907
82103.20327399686598.904266032943107.502281960786
83103.32154023628698.7641913014552107.878889171116
84103.33535316448398.5239974070149108.146708921951

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 102.003452084362 & 100.691517212152 & 103.315386956572 \tabularnewline
74 & 102.190057548214 & 100.383261830616 & 103.996853265812 \tabularnewline
75 & 102.260918479616 & 100.051083915415 & 104.470753043818 \tabularnewline
76 & 102.346943205282 & 99.7818796443639 & 104.9120067662 \tabularnewline
77 & 102.209705670693 & 99.319227953955 & 105.10018338743 \tabularnewline
78 & 102.083027423315 & 98.887545654636 & 105.278509191993 \tabularnewline
79 & 102.051198131741 & 98.5655013814263 & 105.536894882055 \tabularnewline
80 & 101.965637903699 & 98.2008537679043 & 105.730422039494 \tabularnewline
81 & 102.252914447355 & 98.2176373998022 & 106.288191494907 \tabularnewline
82 & 103.203273996865 & 98.904266032943 & 107.502281960786 \tabularnewline
83 & 103.321540236286 & 98.7641913014552 & 107.878889171116 \tabularnewline
84 & 103.335353164483 & 98.5239974070149 & 108.146708921951 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]102.003452084362[/C][C]100.691517212152[/C][C]103.315386956572[/C][/ROW]
[ROW][C]74[/C][C]102.190057548214[/C][C]100.383261830616[/C][C]103.996853265812[/C][/ROW]
[ROW][C]75[/C][C]102.260918479616[/C][C]100.051083915415[/C][C]104.470753043818[/C][/ROW]
[ROW][C]76[/C][C]102.346943205282[/C][C]99.7818796443639[/C][C]104.9120067662[/C][/ROW]
[ROW][C]77[/C][C]102.209705670693[/C][C]99.319227953955[/C][C]105.10018338743[/C][/ROW]
[ROW][C]78[/C][C]102.083027423315[/C][C]98.887545654636[/C][C]105.278509191993[/C][/ROW]
[ROW][C]79[/C][C]102.051198131741[/C][C]98.5655013814263[/C][C]105.536894882055[/C][/ROW]
[ROW][C]80[/C][C]101.965637903699[/C][C]98.2008537679043[/C][C]105.730422039494[/C][/ROW]
[ROW][C]81[/C][C]102.252914447355[/C][C]98.2176373998022[/C][C]106.288191494907[/C][/ROW]
[ROW][C]82[/C][C]103.203273996865[/C][C]98.904266032943[/C][C]107.502281960786[/C][/ROW]
[ROW][C]83[/C][C]103.321540236286[/C][C]98.7641913014552[/C][C]107.878889171116[/C][/ROW]
[ROW][C]84[/C][C]103.335353164483[/C][C]98.5239974070149[/C][C]108.146708921951[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
73102.003452084362100.691517212152103.315386956572
74102.190057548214100.383261830616103.996853265812
75102.260918479616100.051083915415104.470753043818
76102.34694320528299.7818796443639104.9120067662
77102.20970567069399.319227953955105.10018338743
78102.08302742331598.887545654636105.278509191993
79102.05119813174198.5655013814263105.536894882055
80101.96563790369998.2008537679043105.730422039494
81102.25291444735598.2176373998022106.288191494907
82103.20327399686598.904266032943107.502281960786
83103.32154023628698.7641913014552107.878889171116
84103.33535316448398.5239974070149108.146708921951



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=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')