Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 27 Nov 2016 20:07:34 +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/27/t1480277338rtrqlxykr32y2mu.htm/, Retrieved Mon, 29 Apr 2024 19:46:04 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 29 Apr 2024 19:46:04 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
102,54
101,29
101,49
101,71
101,98
102,11
102,11
103,13
103,43
103,8
103,99
104,03
104,03
102,58
102,65
102,81
102,98
103,12
103,12
104,33
104,41
104,66
104,81
104,9
100,15
98,74
98,74
98,96
99,34
99,4
99,5
100,5
100,77
101,08
101,39
101,43
101,43
101,29
101,33
101,15
101,25
101,13
101,07
101,33
101,61
101,29
101,39
101,46
101,81
101,78
101,93
102,01
102,03
102,14
101,81
101,52
101,38
101,5
101,65
101,64




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 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]2 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 time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \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]0.999933893038648[/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=&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2101.29102.54-1.25
3101.49101.2900826337020.199917366298294
4101.71101.489986784070.220013215929612
5101.98101.7099854555950.270014544405171
6102.11101.9799821501590.130017849841053
7102.11102.1099914049158.59508497796924e-06
8103.13102.1099999994321.0200000005682
9103.43103.1299325708990.300067429100622
10103.8103.4299801634540.370019836545936
11103.99103.7999755391130.190024460887031
12104.03103.989987438060.0400125619397045
13104.03104.0299973548912.645108892807e-06
14102.58104.029999999825-1.44999999982514
15102.65102.5800958550940.0699041449060616
16102.81102.6499953788490.160004621150605
17102.98102.8099894225810.170010577419305
18103.12102.9799887611170.140011238882678
19103.12103.1199907442829.25571755772125e-06
20104.33103.1199999993881.21000000061186
21104.41104.3299200105770.0800799894232682
22104.66104.4099947061550.250005293844765
23104.81104.659983472910.150016527090315
24104.9104.8099900828630.0900099171367543
25100.15104.899994049718-4.74999404971788
2698.74100.150314007673-1.41031400767308
2798.7498.7400932315736-9.32315736008604e-05
2898.9698.74000000616330.219999993836737
2999.3498.95998545646890.380014543531104
3099.499.33997487839330.060025121606742
3199.599.39999603192160.100003968078383
32100.599.49999338904151.00000661095847
33100.77100.4999338926020.270066107398378
34101.08100.769982146750.310017853249718
35101.39101.0799795056620.310020494338247
36101.43101.3899795054870.0400204945128451
37101.43101.4299973543672.64563327334599e-06
38101.29101.429999999825-0.139999999825108
39101.33101.2900092549750.0399907450254062
40101.15101.329997356333-0.179997356333359
41101.25101.1500118990780.0999881009217205
42101.13101.24999339009-0.119993390090485
43101.07101.130007932398-0.0600079323984062
44101.33101.0700039669420.259996033057945
45101.61101.3299828124520.280017187547713
46101.29101.609981488915-0.319981488914593
47101.39101.2900211530040.0999788469960663
48101.46101.3899933907020.0700066092977636
49101.81101.4599953720760.350004627924221
50101.78101.809976862258-0.029976862257584
51101.93101.7800019816790.149998018320744
52102.01101.9299900840870.0800099159131946
53102.03102.0099947107880.0200052892124063
54102.14102.0299986775110.11000132248887
55101.81102.139992728147-0.32999272814682
56101.52101.810021814817-0.290021814816527
57101.38101.520019172461-0.14001917246091
58101.5101.3800092562420.119990743757981
59101.65101.4999920677770.15000793222346
60101.64101.649990083431-0.00999008343141838

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 101.29 & 102.54 & -1.25 \tabularnewline
3 & 101.49 & 101.290082633702 & 0.199917366298294 \tabularnewline
4 & 101.71 & 101.48998678407 & 0.220013215929612 \tabularnewline
5 & 101.98 & 101.709985455595 & 0.270014544405171 \tabularnewline
6 & 102.11 & 101.979982150159 & 0.130017849841053 \tabularnewline
7 & 102.11 & 102.109991404915 & 8.59508497796924e-06 \tabularnewline
8 & 103.13 & 102.109999999432 & 1.0200000005682 \tabularnewline
9 & 103.43 & 103.129932570899 & 0.300067429100622 \tabularnewline
10 & 103.8 & 103.429980163454 & 0.370019836545936 \tabularnewline
11 & 103.99 & 103.799975539113 & 0.190024460887031 \tabularnewline
12 & 104.03 & 103.98998743806 & 0.0400125619397045 \tabularnewline
13 & 104.03 & 104.029997354891 & 2.645108892807e-06 \tabularnewline
14 & 102.58 & 104.029999999825 & -1.44999999982514 \tabularnewline
15 & 102.65 & 102.580095855094 & 0.0699041449060616 \tabularnewline
16 & 102.81 & 102.649995378849 & 0.160004621150605 \tabularnewline
17 & 102.98 & 102.809989422581 & 0.170010577419305 \tabularnewline
18 & 103.12 & 102.979988761117 & 0.140011238882678 \tabularnewline
19 & 103.12 & 103.119990744282 & 9.25571755772125e-06 \tabularnewline
20 & 104.33 & 103.119999999388 & 1.21000000061186 \tabularnewline
21 & 104.41 & 104.329920010577 & 0.0800799894232682 \tabularnewline
22 & 104.66 & 104.409994706155 & 0.250005293844765 \tabularnewline
23 & 104.81 & 104.65998347291 & 0.150016527090315 \tabularnewline
24 & 104.9 & 104.809990082863 & 0.0900099171367543 \tabularnewline
25 & 100.15 & 104.899994049718 & -4.74999404971788 \tabularnewline
26 & 98.74 & 100.150314007673 & -1.41031400767308 \tabularnewline
27 & 98.74 & 98.7400932315736 & -9.32315736008604e-05 \tabularnewline
28 & 98.96 & 98.7400000061633 & 0.219999993836737 \tabularnewline
29 & 99.34 & 98.9599854564689 & 0.380014543531104 \tabularnewline
30 & 99.4 & 99.3399748783933 & 0.060025121606742 \tabularnewline
31 & 99.5 & 99.3999960319216 & 0.100003968078383 \tabularnewline
32 & 100.5 & 99.4999933890415 & 1.00000661095847 \tabularnewline
33 & 100.77 & 100.499933892602 & 0.270066107398378 \tabularnewline
34 & 101.08 & 100.76998214675 & 0.310017853249718 \tabularnewline
35 & 101.39 & 101.079979505662 & 0.310020494338247 \tabularnewline
36 & 101.43 & 101.389979505487 & 0.0400204945128451 \tabularnewline
37 & 101.43 & 101.429997354367 & 2.64563327334599e-06 \tabularnewline
38 & 101.29 & 101.429999999825 & -0.139999999825108 \tabularnewline
39 & 101.33 & 101.290009254975 & 0.0399907450254062 \tabularnewline
40 & 101.15 & 101.329997356333 & -0.179997356333359 \tabularnewline
41 & 101.25 & 101.150011899078 & 0.0999881009217205 \tabularnewline
42 & 101.13 & 101.24999339009 & -0.119993390090485 \tabularnewline
43 & 101.07 & 101.130007932398 & -0.0600079323984062 \tabularnewline
44 & 101.33 & 101.070003966942 & 0.259996033057945 \tabularnewline
45 & 101.61 & 101.329982812452 & 0.280017187547713 \tabularnewline
46 & 101.29 & 101.609981488915 & -0.319981488914593 \tabularnewline
47 & 101.39 & 101.290021153004 & 0.0999788469960663 \tabularnewline
48 & 101.46 & 101.389993390702 & 0.0700066092977636 \tabularnewline
49 & 101.81 & 101.459995372076 & 0.350004627924221 \tabularnewline
50 & 101.78 & 101.809976862258 & -0.029976862257584 \tabularnewline
51 & 101.93 & 101.780001981679 & 0.149998018320744 \tabularnewline
52 & 102.01 & 101.929990084087 & 0.0800099159131946 \tabularnewline
53 & 102.03 & 102.009994710788 & 0.0200052892124063 \tabularnewline
54 & 102.14 & 102.029998677511 & 0.11000132248887 \tabularnewline
55 & 101.81 & 102.139992728147 & -0.32999272814682 \tabularnewline
56 & 101.52 & 101.810021814817 & -0.290021814816527 \tabularnewline
57 & 101.38 & 101.520019172461 & -0.14001917246091 \tabularnewline
58 & 101.5 & 101.380009256242 & 0.119990743757981 \tabularnewline
59 & 101.65 & 101.499992067777 & 0.15000793222346 \tabularnewline
60 & 101.64 & 101.649990083431 & -0.00999008343141838 \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]2[/C][C]101.29[/C][C]102.54[/C][C]-1.25[/C][/ROW]
[ROW][C]3[/C][C]101.49[/C][C]101.290082633702[/C][C]0.199917366298294[/C][/ROW]
[ROW][C]4[/C][C]101.71[/C][C]101.48998678407[/C][C]0.220013215929612[/C][/ROW]
[ROW][C]5[/C][C]101.98[/C][C]101.709985455595[/C][C]0.270014544405171[/C][/ROW]
[ROW][C]6[/C][C]102.11[/C][C]101.979982150159[/C][C]0.130017849841053[/C][/ROW]
[ROW][C]7[/C][C]102.11[/C][C]102.109991404915[/C][C]8.59508497796924e-06[/C][/ROW]
[ROW][C]8[/C][C]103.13[/C][C]102.109999999432[/C][C]1.0200000005682[/C][/ROW]
[ROW][C]9[/C][C]103.43[/C][C]103.129932570899[/C][C]0.300067429100622[/C][/ROW]
[ROW][C]10[/C][C]103.8[/C][C]103.429980163454[/C][C]0.370019836545936[/C][/ROW]
[ROW][C]11[/C][C]103.99[/C][C]103.799975539113[/C][C]0.190024460887031[/C][/ROW]
[ROW][C]12[/C][C]104.03[/C][C]103.98998743806[/C][C]0.0400125619397045[/C][/ROW]
[ROW][C]13[/C][C]104.03[/C][C]104.029997354891[/C][C]2.645108892807e-06[/C][/ROW]
[ROW][C]14[/C][C]102.58[/C][C]104.029999999825[/C][C]-1.44999999982514[/C][/ROW]
[ROW][C]15[/C][C]102.65[/C][C]102.580095855094[/C][C]0.0699041449060616[/C][/ROW]
[ROW][C]16[/C][C]102.81[/C][C]102.649995378849[/C][C]0.160004621150605[/C][/ROW]
[ROW][C]17[/C][C]102.98[/C][C]102.809989422581[/C][C]0.170010577419305[/C][/ROW]
[ROW][C]18[/C][C]103.12[/C][C]102.979988761117[/C][C]0.140011238882678[/C][/ROW]
[ROW][C]19[/C][C]103.12[/C][C]103.119990744282[/C][C]9.25571755772125e-06[/C][/ROW]
[ROW][C]20[/C][C]104.33[/C][C]103.119999999388[/C][C]1.21000000061186[/C][/ROW]
[ROW][C]21[/C][C]104.41[/C][C]104.329920010577[/C][C]0.0800799894232682[/C][/ROW]
[ROW][C]22[/C][C]104.66[/C][C]104.409994706155[/C][C]0.250005293844765[/C][/ROW]
[ROW][C]23[/C][C]104.81[/C][C]104.65998347291[/C][C]0.150016527090315[/C][/ROW]
[ROW][C]24[/C][C]104.9[/C][C]104.809990082863[/C][C]0.0900099171367543[/C][/ROW]
[ROW][C]25[/C][C]100.15[/C][C]104.899994049718[/C][C]-4.74999404971788[/C][/ROW]
[ROW][C]26[/C][C]98.74[/C][C]100.150314007673[/C][C]-1.41031400767308[/C][/ROW]
[ROW][C]27[/C][C]98.74[/C][C]98.7400932315736[/C][C]-9.32315736008604e-05[/C][/ROW]
[ROW][C]28[/C][C]98.96[/C][C]98.7400000061633[/C][C]0.219999993836737[/C][/ROW]
[ROW][C]29[/C][C]99.34[/C][C]98.9599854564689[/C][C]0.380014543531104[/C][/ROW]
[ROW][C]30[/C][C]99.4[/C][C]99.3399748783933[/C][C]0.060025121606742[/C][/ROW]
[ROW][C]31[/C][C]99.5[/C][C]99.3999960319216[/C][C]0.100003968078383[/C][/ROW]
[ROW][C]32[/C][C]100.5[/C][C]99.4999933890415[/C][C]1.00000661095847[/C][/ROW]
[ROW][C]33[/C][C]100.77[/C][C]100.499933892602[/C][C]0.270066107398378[/C][/ROW]
[ROW][C]34[/C][C]101.08[/C][C]100.76998214675[/C][C]0.310017853249718[/C][/ROW]
[ROW][C]35[/C][C]101.39[/C][C]101.079979505662[/C][C]0.310020494338247[/C][/ROW]
[ROW][C]36[/C][C]101.43[/C][C]101.389979505487[/C][C]0.0400204945128451[/C][/ROW]
[ROW][C]37[/C][C]101.43[/C][C]101.429997354367[/C][C]2.64563327334599e-06[/C][/ROW]
[ROW][C]38[/C][C]101.29[/C][C]101.429999999825[/C][C]-0.139999999825108[/C][/ROW]
[ROW][C]39[/C][C]101.33[/C][C]101.290009254975[/C][C]0.0399907450254062[/C][/ROW]
[ROW][C]40[/C][C]101.15[/C][C]101.329997356333[/C][C]-0.179997356333359[/C][/ROW]
[ROW][C]41[/C][C]101.25[/C][C]101.150011899078[/C][C]0.0999881009217205[/C][/ROW]
[ROW][C]42[/C][C]101.13[/C][C]101.24999339009[/C][C]-0.119993390090485[/C][/ROW]
[ROW][C]43[/C][C]101.07[/C][C]101.130007932398[/C][C]-0.0600079323984062[/C][/ROW]
[ROW][C]44[/C][C]101.33[/C][C]101.070003966942[/C][C]0.259996033057945[/C][/ROW]
[ROW][C]45[/C][C]101.61[/C][C]101.329982812452[/C][C]0.280017187547713[/C][/ROW]
[ROW][C]46[/C][C]101.29[/C][C]101.609981488915[/C][C]-0.319981488914593[/C][/ROW]
[ROW][C]47[/C][C]101.39[/C][C]101.290021153004[/C][C]0.0999788469960663[/C][/ROW]
[ROW][C]48[/C][C]101.46[/C][C]101.389993390702[/C][C]0.0700066092977636[/C][/ROW]
[ROW][C]49[/C][C]101.81[/C][C]101.459995372076[/C][C]0.350004627924221[/C][/ROW]
[ROW][C]50[/C][C]101.78[/C][C]101.809976862258[/C][C]-0.029976862257584[/C][/ROW]
[ROW][C]51[/C][C]101.93[/C][C]101.780001981679[/C][C]0.149998018320744[/C][/ROW]
[ROW][C]52[/C][C]102.01[/C][C]101.929990084087[/C][C]0.0800099159131946[/C][/ROW]
[ROW][C]53[/C][C]102.03[/C][C]102.009994710788[/C][C]0.0200052892124063[/C][/ROW]
[ROW][C]54[/C][C]102.14[/C][C]102.029998677511[/C][C]0.11000132248887[/C][/ROW]
[ROW][C]55[/C][C]101.81[/C][C]102.139992728147[/C][C]-0.32999272814682[/C][/ROW]
[ROW][C]56[/C][C]101.52[/C][C]101.810021814817[/C][C]-0.290021814816527[/C][/ROW]
[ROW][C]57[/C][C]101.38[/C][C]101.520019172461[/C][C]-0.14001917246091[/C][/ROW]
[ROW][C]58[/C][C]101.5[/C][C]101.380009256242[/C][C]0.119990743757981[/C][/ROW]
[ROW][C]59[/C][C]101.65[/C][C]101.499992067777[/C][C]0.15000793222346[/C][/ROW]
[ROW][C]60[/C][C]101.64[/C][C]101.649990083431[/C][C]-0.00999008343141838[/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
2101.29102.54-1.25
3101.49101.2900826337020.199917366298294
4101.71101.489986784070.220013215929612
5101.98101.7099854555950.270014544405171
6102.11101.9799821501590.130017849841053
7102.11102.1099914049158.59508497796924e-06
8103.13102.1099999994321.0200000005682
9103.43103.1299325708990.300067429100622
10103.8103.4299801634540.370019836545936
11103.99103.7999755391130.190024460887031
12104.03103.989987438060.0400125619397045
13104.03104.0299973548912.645108892807e-06
14102.58104.029999999825-1.44999999982514
15102.65102.5800958550940.0699041449060616
16102.81102.6499953788490.160004621150605
17102.98102.8099894225810.170010577419305
18103.12102.9799887611170.140011238882678
19103.12103.1199907442829.25571755772125e-06
20104.33103.1199999993881.21000000061186
21104.41104.3299200105770.0800799894232682
22104.66104.4099947061550.250005293844765
23104.81104.659983472910.150016527090315
24104.9104.8099900828630.0900099171367543
25100.15104.899994049718-4.74999404971788
2698.74100.150314007673-1.41031400767308
2798.7498.7400932315736-9.32315736008604e-05
2898.9698.74000000616330.219999993836737
2999.3498.95998545646890.380014543531104
3099.499.33997487839330.060025121606742
3199.599.39999603192160.100003968078383
32100.599.49999338904151.00000661095847
33100.77100.4999338926020.270066107398378
34101.08100.769982146750.310017853249718
35101.39101.0799795056620.310020494338247
36101.43101.3899795054870.0400204945128451
37101.43101.4299973543672.64563327334599e-06
38101.29101.429999999825-0.139999999825108
39101.33101.2900092549750.0399907450254062
40101.15101.329997356333-0.179997356333359
41101.25101.1500118990780.0999881009217205
42101.13101.24999339009-0.119993390090485
43101.07101.130007932398-0.0600079323984062
44101.33101.0700039669420.259996033057945
45101.61101.3299828124520.280017187547713
46101.29101.609981488915-0.319981488914593
47101.39101.2900211530040.0999788469960663
48101.46101.3899933907020.0700066092977636
49101.81101.4599953720760.350004627924221
50101.78101.809976862258-0.029976862257584
51101.93101.7800019816790.149998018320744
52102.01101.9299900840870.0800099159131946
53102.03102.0099947107880.0200052892124063
54102.14102.0299986775110.11000132248887
55101.81102.139992728147-0.32999272814682
56101.52101.810021814817-0.290021814816527
57101.38101.520019172461-0.14001917246091
58101.5101.3800092562420.119990743757981
59101.65101.4999920677770.15000793222346
60101.64101.649990083431-0.00999008343141838







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61101.640000660414100.149088948393103.130912372435
62101.64000066041499.5316027880131103.748398532815
63101.64000066041499.057779631213104.222221689615
64101.64000066041498.6583250746148104.621676246213
65101.64000066041498.3063970315681104.97360428926
66101.64000066041497.9882288973436105.291772423484
67101.64000066041497.6956425548585105.58435876597
68101.64000066041497.4233094551958105.856691865632
69101.64000066041497.1675283491002106.112472971728
70101.64000066041496.9256043649408106.354396955887
71101.64000066041496.6955030837056106.584498237123
72101.64000066041496.4756439588123106.804357362016

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 101.640000660414 & 100.149088948393 & 103.130912372435 \tabularnewline
62 & 101.640000660414 & 99.5316027880131 & 103.748398532815 \tabularnewline
63 & 101.640000660414 & 99.057779631213 & 104.222221689615 \tabularnewline
64 & 101.640000660414 & 98.6583250746148 & 104.621676246213 \tabularnewline
65 & 101.640000660414 & 98.3063970315681 & 104.97360428926 \tabularnewline
66 & 101.640000660414 & 97.9882288973436 & 105.291772423484 \tabularnewline
67 & 101.640000660414 & 97.6956425548585 & 105.58435876597 \tabularnewline
68 & 101.640000660414 & 97.4233094551958 & 105.856691865632 \tabularnewline
69 & 101.640000660414 & 97.1675283491002 & 106.112472971728 \tabularnewline
70 & 101.640000660414 & 96.9256043649408 & 106.354396955887 \tabularnewline
71 & 101.640000660414 & 96.6955030837056 & 106.584498237123 \tabularnewline
72 & 101.640000660414 & 96.4756439588123 & 106.804357362016 \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]61[/C][C]101.640000660414[/C][C]100.149088948393[/C][C]103.130912372435[/C][/ROW]
[ROW][C]62[/C][C]101.640000660414[/C][C]99.5316027880131[/C][C]103.748398532815[/C][/ROW]
[ROW][C]63[/C][C]101.640000660414[/C][C]99.057779631213[/C][C]104.222221689615[/C][/ROW]
[ROW][C]64[/C][C]101.640000660414[/C][C]98.6583250746148[/C][C]104.621676246213[/C][/ROW]
[ROW][C]65[/C][C]101.640000660414[/C][C]98.3063970315681[/C][C]104.97360428926[/C][/ROW]
[ROW][C]66[/C][C]101.640000660414[/C][C]97.9882288973436[/C][C]105.291772423484[/C][/ROW]
[ROW][C]67[/C][C]101.640000660414[/C][C]97.6956425548585[/C][C]105.58435876597[/C][/ROW]
[ROW][C]68[/C][C]101.640000660414[/C][C]97.4233094551958[/C][C]105.856691865632[/C][/ROW]
[ROW][C]69[/C][C]101.640000660414[/C][C]97.1675283491002[/C][C]106.112472971728[/C][/ROW]
[ROW][C]70[/C][C]101.640000660414[/C][C]96.9256043649408[/C][C]106.354396955887[/C][/ROW]
[ROW][C]71[/C][C]101.640000660414[/C][C]96.6955030837056[/C][C]106.584498237123[/C][/ROW]
[ROW][C]72[/C][C]101.640000660414[/C][C]96.4756439588123[/C][C]106.804357362016[/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
61101.640000660414100.149088948393103.130912372435
62101.64000066041499.5316027880131103.748398532815
63101.64000066041499.057779631213104.222221689615
64101.64000066041498.6583250746148104.621676246213
65101.64000066041498.3063970315681104.97360428926
66101.64000066041497.9882288973436105.291772423484
67101.64000066041497.6956425548585105.58435876597
68101.64000066041497.4233094551958105.856691865632
69101.64000066041497.1675283491002106.112472971728
70101.64000066041496.9256043649408106.354396955887
71101.64000066041496.6955030837056106.584498237123
72101.64000066041496.4756439588123106.804357362016



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')