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 15:29:25 +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/t1480174281o1ptb2y8n06ccvx.htm/, Retrieved Sat, 04 May 2024 02:23:46 +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 02:23:46 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
95,31
93,47
98,92
101,21
95,19
90,95
93,09
90,16
91,86
88,82
91,58
94,9
99,85
98,03
93,46
94,15
93,47
88,98
89,26
84,62
82,7
84,37
89,52
89,82
93,08
98,02
97,49
97,35
99,33
96,92
96,42
93,94
89,95
94,38
95,13
96,01
100,37
99,57
100,53
106,51
106,22
106,93
103,24
98,54
95,6
91,97
93,99
96,53
102,37
98,81
96,88
100,4
91,54
90,36
94,28
84,17
86,65
84,09
90,2
92,47
96,92
98,3
94,27
105,58
99,89
97,46
99,21
97,72
99,31
102,57
102,16
99,12




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=&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=&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.740392917352119
beta0.00722895023246155
gamma0.504366620155425

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.740392917352119 \tabularnewline
beta & 0.00722895023246155 \tabularnewline
gamma & 0.504366620155425 \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]0.740392917352119[/C][/ROW]
[ROW][C]beta[/C][C]0.00722895023246155[/C][/ROW]
[ROW][C]gamma[/C][C]0.504366620155425[/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
alpha0.740392917352119
beta0.00722895023246155
gamma0.504366620155425







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1399.85101.159425747863-1.30942574786327
1498.0398.4256332262229-0.39563322622287
1593.4693.838372015571-0.378372015571031
1694.1594.476449069616-0.326449069616004
1793.4793.4853889303039-0.0153889303039136
1888.9888.94080314939830.039196850601698
1989.2689.6593420859382-0.399342085938159
2084.6285.7118858491228-1.09188584912275
2182.786.2924977209226-3.59249772092257
2284.3780.74661294584953.62338705415051
2389.5286.20687813980093.31312186019908
2489.8291.8030745496921-1.98307454969215
2593.0895.013854906399-1.93385490639899
2698.0291.92057849428356.09942150571648
2797.4992.16242283366015.32757716633986
2897.3597.08043553001040.269564469989547
2999.3396.62307158159942.70692841840059
3096.9294.16747081118482.75252918881525
3196.4296.9182964463237-0.498296446323678
3293.9492.88714145779931.05285854220072
3389.9594.8200092001204-4.87000920012044
3494.3889.35797905779685.0220209422032
3595.1395.9055312137358-0.775531213735761
3696.0197.8515390268827-1.84153902688271
37100.37101.244803525054-0.874803525054006
3899.57100.064411433275-0.494411433275332
39100.5395.36478942437585.16521057562416
40106.5199.54106022056356.96893977943648
41106.22104.4396195302411.7803804697589
42106.93101.3756326740895.55436732591147
43103.24105.861914382341-2.62191438234105
4498.54100.536834154851-1.99683415485094
4595.699.4951674933103-3.8951674933103
4691.9796.1143149317574-4.14431493175741
4793.9995.1311788273496-1.14117882734959
4896.5396.680043509948-0.150043509948048
49102.37101.474474021140.895525978859681
5098.81101.686317204885-2.87631720488493
5196.8895.98314359776470.896856402235272
52100.497.23142480120223.1685751987978
5391.5498.612599837304-7.07259983730395
5490.3689.41645454921220.943545450787781
5594.2889.32202947911484.95797052088517
5684.1789.6351501913808-5.46515019138083
5786.6585.7027028301770.947297169823003
5884.0985.8261705801388-1.73617058013879
5990.286.98373502110253.21626497889754
6092.4791.87642430424430.593575695755703
6196.9297.3501367782507-0.430136778250727
6298.396.07130664856852.22869335143155
6394.2794.6539310365034-0.383931036503384
64105.5895.256559306880710.3234406931193
6599.89100.6376712034-0.747671203400444
6697.4697.25139751967820.208602480321815
6799.2197.21185768437591.99814231562407
6897.7294.02632152888483.69367847111518
6999.3197.82120672649131.48879327350875
70102.5798.10370009952484.46629990047519
71102.16104.644656147089-2.48465614708871
7299.12105.085172132662-5.96517213266154

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 99.85 & 101.159425747863 & -1.30942574786327 \tabularnewline
14 & 98.03 & 98.4256332262229 & -0.39563322622287 \tabularnewline
15 & 93.46 & 93.838372015571 & -0.378372015571031 \tabularnewline
16 & 94.15 & 94.476449069616 & -0.326449069616004 \tabularnewline
17 & 93.47 & 93.4853889303039 & -0.0153889303039136 \tabularnewline
18 & 88.98 & 88.9408031493983 & 0.039196850601698 \tabularnewline
19 & 89.26 & 89.6593420859382 & -0.399342085938159 \tabularnewline
20 & 84.62 & 85.7118858491228 & -1.09188584912275 \tabularnewline
21 & 82.7 & 86.2924977209226 & -3.59249772092257 \tabularnewline
22 & 84.37 & 80.7466129458495 & 3.62338705415051 \tabularnewline
23 & 89.52 & 86.2068781398009 & 3.31312186019908 \tabularnewline
24 & 89.82 & 91.8030745496921 & -1.98307454969215 \tabularnewline
25 & 93.08 & 95.013854906399 & -1.93385490639899 \tabularnewline
26 & 98.02 & 91.9205784942835 & 6.09942150571648 \tabularnewline
27 & 97.49 & 92.1624228336601 & 5.32757716633986 \tabularnewline
28 & 97.35 & 97.0804355300104 & 0.269564469989547 \tabularnewline
29 & 99.33 & 96.6230715815994 & 2.70692841840059 \tabularnewline
30 & 96.92 & 94.1674708111848 & 2.75252918881525 \tabularnewline
31 & 96.42 & 96.9182964463237 & -0.498296446323678 \tabularnewline
32 & 93.94 & 92.8871414577993 & 1.05285854220072 \tabularnewline
33 & 89.95 & 94.8200092001204 & -4.87000920012044 \tabularnewline
34 & 94.38 & 89.3579790577968 & 5.0220209422032 \tabularnewline
35 & 95.13 & 95.9055312137358 & -0.775531213735761 \tabularnewline
36 & 96.01 & 97.8515390268827 & -1.84153902688271 \tabularnewline
37 & 100.37 & 101.244803525054 & -0.874803525054006 \tabularnewline
38 & 99.57 & 100.064411433275 & -0.494411433275332 \tabularnewline
39 & 100.53 & 95.3647894243758 & 5.16521057562416 \tabularnewline
40 & 106.51 & 99.5410602205635 & 6.96893977943648 \tabularnewline
41 & 106.22 & 104.439619530241 & 1.7803804697589 \tabularnewline
42 & 106.93 & 101.375632674089 & 5.55436732591147 \tabularnewline
43 & 103.24 & 105.861914382341 & -2.62191438234105 \tabularnewline
44 & 98.54 & 100.536834154851 & -1.99683415485094 \tabularnewline
45 & 95.6 & 99.4951674933103 & -3.8951674933103 \tabularnewline
46 & 91.97 & 96.1143149317574 & -4.14431493175741 \tabularnewline
47 & 93.99 & 95.1311788273496 & -1.14117882734959 \tabularnewline
48 & 96.53 & 96.680043509948 & -0.150043509948048 \tabularnewline
49 & 102.37 & 101.47447402114 & 0.895525978859681 \tabularnewline
50 & 98.81 & 101.686317204885 & -2.87631720488493 \tabularnewline
51 & 96.88 & 95.9831435977647 & 0.896856402235272 \tabularnewline
52 & 100.4 & 97.2314248012022 & 3.1685751987978 \tabularnewline
53 & 91.54 & 98.612599837304 & -7.07259983730395 \tabularnewline
54 & 90.36 & 89.4164545492122 & 0.943545450787781 \tabularnewline
55 & 94.28 & 89.3220294791148 & 4.95797052088517 \tabularnewline
56 & 84.17 & 89.6351501913808 & -5.46515019138083 \tabularnewline
57 & 86.65 & 85.702702830177 & 0.947297169823003 \tabularnewline
58 & 84.09 & 85.8261705801388 & -1.73617058013879 \tabularnewline
59 & 90.2 & 86.9837350211025 & 3.21626497889754 \tabularnewline
60 & 92.47 & 91.8764243042443 & 0.593575695755703 \tabularnewline
61 & 96.92 & 97.3501367782507 & -0.430136778250727 \tabularnewline
62 & 98.3 & 96.0713066485685 & 2.22869335143155 \tabularnewline
63 & 94.27 & 94.6539310365034 & -0.383931036503384 \tabularnewline
64 & 105.58 & 95.2565593068807 & 10.3234406931193 \tabularnewline
65 & 99.89 & 100.6376712034 & -0.747671203400444 \tabularnewline
66 & 97.46 & 97.2513975196782 & 0.208602480321815 \tabularnewline
67 & 99.21 & 97.2118576843759 & 1.99814231562407 \tabularnewline
68 & 97.72 & 94.0263215288848 & 3.69367847111518 \tabularnewline
69 & 99.31 & 97.8212067264913 & 1.48879327350875 \tabularnewline
70 & 102.57 & 98.1037000995248 & 4.46629990047519 \tabularnewline
71 & 102.16 & 104.644656147089 & -2.48465614708871 \tabularnewline
72 & 99.12 & 105.085172132662 & -5.96517213266154 \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]99.85[/C][C]101.159425747863[/C][C]-1.30942574786327[/C][/ROW]
[ROW][C]14[/C][C]98.03[/C][C]98.4256332262229[/C][C]-0.39563322622287[/C][/ROW]
[ROW][C]15[/C][C]93.46[/C][C]93.838372015571[/C][C]-0.378372015571031[/C][/ROW]
[ROW][C]16[/C][C]94.15[/C][C]94.476449069616[/C][C]-0.326449069616004[/C][/ROW]
[ROW][C]17[/C][C]93.47[/C][C]93.4853889303039[/C][C]-0.0153889303039136[/C][/ROW]
[ROW][C]18[/C][C]88.98[/C][C]88.9408031493983[/C][C]0.039196850601698[/C][/ROW]
[ROW][C]19[/C][C]89.26[/C][C]89.6593420859382[/C][C]-0.399342085938159[/C][/ROW]
[ROW][C]20[/C][C]84.62[/C][C]85.7118858491228[/C][C]-1.09188584912275[/C][/ROW]
[ROW][C]21[/C][C]82.7[/C][C]86.2924977209226[/C][C]-3.59249772092257[/C][/ROW]
[ROW][C]22[/C][C]84.37[/C][C]80.7466129458495[/C][C]3.62338705415051[/C][/ROW]
[ROW][C]23[/C][C]89.52[/C][C]86.2068781398009[/C][C]3.31312186019908[/C][/ROW]
[ROW][C]24[/C][C]89.82[/C][C]91.8030745496921[/C][C]-1.98307454969215[/C][/ROW]
[ROW][C]25[/C][C]93.08[/C][C]95.013854906399[/C][C]-1.93385490639899[/C][/ROW]
[ROW][C]26[/C][C]98.02[/C][C]91.9205784942835[/C][C]6.09942150571648[/C][/ROW]
[ROW][C]27[/C][C]97.49[/C][C]92.1624228336601[/C][C]5.32757716633986[/C][/ROW]
[ROW][C]28[/C][C]97.35[/C][C]97.0804355300104[/C][C]0.269564469989547[/C][/ROW]
[ROW][C]29[/C][C]99.33[/C][C]96.6230715815994[/C][C]2.70692841840059[/C][/ROW]
[ROW][C]30[/C][C]96.92[/C][C]94.1674708111848[/C][C]2.75252918881525[/C][/ROW]
[ROW][C]31[/C][C]96.42[/C][C]96.9182964463237[/C][C]-0.498296446323678[/C][/ROW]
[ROW][C]32[/C][C]93.94[/C][C]92.8871414577993[/C][C]1.05285854220072[/C][/ROW]
[ROW][C]33[/C][C]89.95[/C][C]94.8200092001204[/C][C]-4.87000920012044[/C][/ROW]
[ROW][C]34[/C][C]94.38[/C][C]89.3579790577968[/C][C]5.0220209422032[/C][/ROW]
[ROW][C]35[/C][C]95.13[/C][C]95.9055312137358[/C][C]-0.775531213735761[/C][/ROW]
[ROW][C]36[/C][C]96.01[/C][C]97.8515390268827[/C][C]-1.84153902688271[/C][/ROW]
[ROW][C]37[/C][C]100.37[/C][C]101.244803525054[/C][C]-0.874803525054006[/C][/ROW]
[ROW][C]38[/C][C]99.57[/C][C]100.064411433275[/C][C]-0.494411433275332[/C][/ROW]
[ROW][C]39[/C][C]100.53[/C][C]95.3647894243758[/C][C]5.16521057562416[/C][/ROW]
[ROW][C]40[/C][C]106.51[/C][C]99.5410602205635[/C][C]6.96893977943648[/C][/ROW]
[ROW][C]41[/C][C]106.22[/C][C]104.439619530241[/C][C]1.7803804697589[/C][/ROW]
[ROW][C]42[/C][C]106.93[/C][C]101.375632674089[/C][C]5.55436732591147[/C][/ROW]
[ROW][C]43[/C][C]103.24[/C][C]105.861914382341[/C][C]-2.62191438234105[/C][/ROW]
[ROW][C]44[/C][C]98.54[/C][C]100.536834154851[/C][C]-1.99683415485094[/C][/ROW]
[ROW][C]45[/C][C]95.6[/C][C]99.4951674933103[/C][C]-3.8951674933103[/C][/ROW]
[ROW][C]46[/C][C]91.97[/C][C]96.1143149317574[/C][C]-4.14431493175741[/C][/ROW]
[ROW][C]47[/C][C]93.99[/C][C]95.1311788273496[/C][C]-1.14117882734959[/C][/ROW]
[ROW][C]48[/C][C]96.53[/C][C]96.680043509948[/C][C]-0.150043509948048[/C][/ROW]
[ROW][C]49[/C][C]102.37[/C][C]101.47447402114[/C][C]0.895525978859681[/C][/ROW]
[ROW][C]50[/C][C]98.81[/C][C]101.686317204885[/C][C]-2.87631720488493[/C][/ROW]
[ROW][C]51[/C][C]96.88[/C][C]95.9831435977647[/C][C]0.896856402235272[/C][/ROW]
[ROW][C]52[/C][C]100.4[/C][C]97.2314248012022[/C][C]3.1685751987978[/C][/ROW]
[ROW][C]53[/C][C]91.54[/C][C]98.612599837304[/C][C]-7.07259983730395[/C][/ROW]
[ROW][C]54[/C][C]90.36[/C][C]89.4164545492122[/C][C]0.943545450787781[/C][/ROW]
[ROW][C]55[/C][C]94.28[/C][C]89.3220294791148[/C][C]4.95797052088517[/C][/ROW]
[ROW][C]56[/C][C]84.17[/C][C]89.6351501913808[/C][C]-5.46515019138083[/C][/ROW]
[ROW][C]57[/C][C]86.65[/C][C]85.702702830177[/C][C]0.947297169823003[/C][/ROW]
[ROW][C]58[/C][C]84.09[/C][C]85.8261705801388[/C][C]-1.73617058013879[/C][/ROW]
[ROW][C]59[/C][C]90.2[/C][C]86.9837350211025[/C][C]3.21626497889754[/C][/ROW]
[ROW][C]60[/C][C]92.47[/C][C]91.8764243042443[/C][C]0.593575695755703[/C][/ROW]
[ROW][C]61[/C][C]96.92[/C][C]97.3501367782507[/C][C]-0.430136778250727[/C][/ROW]
[ROW][C]62[/C][C]98.3[/C][C]96.0713066485685[/C][C]2.22869335143155[/C][/ROW]
[ROW][C]63[/C][C]94.27[/C][C]94.6539310365034[/C][C]-0.383931036503384[/C][/ROW]
[ROW][C]64[/C][C]105.58[/C][C]95.2565593068807[/C][C]10.3234406931193[/C][/ROW]
[ROW][C]65[/C][C]99.89[/C][C]100.6376712034[/C][C]-0.747671203400444[/C][/ROW]
[ROW][C]66[/C][C]97.46[/C][C]97.2513975196782[/C][C]0.208602480321815[/C][/ROW]
[ROW][C]67[/C][C]99.21[/C][C]97.2118576843759[/C][C]1.99814231562407[/C][/ROW]
[ROW][C]68[/C][C]97.72[/C][C]94.0263215288848[/C][C]3.69367847111518[/C][/ROW]
[ROW][C]69[/C][C]99.31[/C][C]97.8212067264913[/C][C]1.48879327350875[/C][/ROW]
[ROW][C]70[/C][C]102.57[/C][C]98.1037000995248[/C][C]4.46629990047519[/C][/ROW]
[ROW][C]71[/C][C]102.16[/C][C]104.644656147089[/C][C]-2.48465614708871[/C][/ROW]
[ROW][C]72[/C][C]99.12[/C][C]105.085172132662[/C][C]-5.96517213266154[/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
1399.85101.159425747863-1.30942574786327
1498.0398.4256332262229-0.39563322622287
1593.4693.838372015571-0.378372015571031
1694.1594.476449069616-0.326449069616004
1793.4793.4853889303039-0.0153889303039136
1888.9888.94080314939830.039196850601698
1989.2689.6593420859382-0.399342085938159
2084.6285.7118858491228-1.09188584912275
2182.786.2924977209226-3.59249772092257
2284.3780.74661294584953.62338705415051
2389.5286.20687813980093.31312186019908
2489.8291.8030745496921-1.98307454969215
2593.0895.013854906399-1.93385490639899
2698.0291.92057849428356.09942150571648
2797.4992.16242283366015.32757716633986
2897.3597.08043553001040.269564469989547
2999.3396.62307158159942.70692841840059
3096.9294.16747081118482.75252918881525
3196.4296.9182964463237-0.498296446323678
3293.9492.88714145779931.05285854220072
3389.9594.8200092001204-4.87000920012044
3494.3889.35797905779685.0220209422032
3595.1395.9055312137358-0.775531213735761
3696.0197.8515390268827-1.84153902688271
37100.37101.244803525054-0.874803525054006
3899.57100.064411433275-0.494411433275332
39100.5395.36478942437585.16521057562416
40106.5199.54106022056356.96893977943648
41106.22104.4396195302411.7803804697589
42106.93101.3756326740895.55436732591147
43103.24105.861914382341-2.62191438234105
4498.54100.536834154851-1.99683415485094
4595.699.4951674933103-3.8951674933103
4691.9796.1143149317574-4.14431493175741
4793.9995.1311788273496-1.14117882734959
4896.5396.680043509948-0.150043509948048
49102.37101.474474021140.895525978859681
5098.81101.686317204885-2.87631720488493
5196.8895.98314359776470.896856402235272
52100.497.23142480120223.1685751987978
5391.5498.612599837304-7.07259983730395
5490.3689.41645454921220.943545450787781
5594.2889.32202947911484.95797052088517
5684.1789.6351501913808-5.46515019138083
5786.6585.7027028301770.947297169823003
5884.0985.8261705801388-1.73617058013879
5990.286.98373502110253.21626497889754
6092.4791.87642430424430.593575695755703
6196.9297.3501367782507-0.430136778250727
6298.396.07130664856852.22869335143155
6394.2794.6539310365034-0.383931036503384
64105.5895.256559306880710.3234406931193
6599.89100.6376712034-0.747671203400444
6697.4697.25139751967820.208602480321815
6799.2197.21185768437591.99814231562407
6897.7294.02632152888483.69367847111518
6999.3197.82120672649131.48879327350875
70102.5798.10370009952484.46629990047519
71102.16104.644656147089-2.48465614708871
7299.12105.085172132662-5.96517213266154







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73105.64584380861299.0962396610757112.195447956148
74105.11297737089996.9426621988044113.283292542994
75101.77082868589992.2338240614649111.307833310332
76104.12918966356293.3820507973379114.876328529786
77100.4315057913688.5826190269077112.280392555812
7897.74224245950784.872033207814110.6124517112
7997.799683710592683.9706578077425111.628709613443
8093.363162864197278.6255379195198108.100787808875
8194.121220826143378.5163613688348109.726080283452
8293.669967532759477.2326148209029110.107320244616
8395.948742706615878.7085332177493113.188952195482
8497.741224499467379.7237642579241115.75868474101

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 105.645843808612 & 99.0962396610757 & 112.195447956148 \tabularnewline
74 & 105.112977370899 & 96.9426621988044 & 113.283292542994 \tabularnewline
75 & 101.770828685899 & 92.2338240614649 & 111.307833310332 \tabularnewline
76 & 104.129189663562 & 93.3820507973379 & 114.876328529786 \tabularnewline
77 & 100.43150579136 & 88.5826190269077 & 112.280392555812 \tabularnewline
78 & 97.742242459507 & 84.872033207814 & 110.6124517112 \tabularnewline
79 & 97.7996837105926 & 83.9706578077425 & 111.628709613443 \tabularnewline
80 & 93.3631628641972 & 78.6255379195198 & 108.100787808875 \tabularnewline
81 & 94.1212208261433 & 78.5163613688348 & 109.726080283452 \tabularnewline
82 & 93.6699675327594 & 77.2326148209029 & 110.107320244616 \tabularnewline
83 & 95.9487427066158 & 78.7085332177493 & 113.188952195482 \tabularnewline
84 & 97.7412244994673 & 79.7237642579241 & 115.75868474101 \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]105.645843808612[/C][C]99.0962396610757[/C][C]112.195447956148[/C][/ROW]
[ROW][C]74[/C][C]105.112977370899[/C][C]96.9426621988044[/C][C]113.283292542994[/C][/ROW]
[ROW][C]75[/C][C]101.770828685899[/C][C]92.2338240614649[/C][C]111.307833310332[/C][/ROW]
[ROW][C]76[/C][C]104.129189663562[/C][C]93.3820507973379[/C][C]114.876328529786[/C][/ROW]
[ROW][C]77[/C][C]100.43150579136[/C][C]88.5826190269077[/C][C]112.280392555812[/C][/ROW]
[ROW][C]78[/C][C]97.742242459507[/C][C]84.872033207814[/C][C]110.6124517112[/C][/ROW]
[ROW][C]79[/C][C]97.7996837105926[/C][C]83.9706578077425[/C][C]111.628709613443[/C][/ROW]
[ROW][C]80[/C][C]93.3631628641972[/C][C]78.6255379195198[/C][C]108.100787808875[/C][/ROW]
[ROW][C]81[/C][C]94.1212208261433[/C][C]78.5163613688348[/C][C]109.726080283452[/C][/ROW]
[ROW][C]82[/C][C]93.6699675327594[/C][C]77.2326148209029[/C][C]110.107320244616[/C][/ROW]
[ROW][C]83[/C][C]95.9487427066158[/C][C]78.7085332177493[/C][C]113.188952195482[/C][/ROW]
[ROW][C]84[/C][C]97.7412244994673[/C][C]79.7237642579241[/C][C]115.75868474101[/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
73105.64584380861299.0962396610757112.195447956148
74105.11297737089996.9426621988044113.283292542994
75101.77082868589992.2338240614649111.307833310332
76104.12918966356293.3820507973379114.876328529786
77100.4315057913688.5826190269077112.280392555812
7897.74224245950784.872033207814110.6124517112
7997.799683710592683.9706578077425111.628709613443
8093.363162864197278.6255379195198108.100787808875
8194.121220826143378.5163613688348109.726080283452
8293.669967532759477.2326148209029110.107320244616
8395.948742706615878.7085332177493113.188952195482
8497.741224499467379.7237642579241115.75868474101



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')