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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 21 May 2014 06:55:07 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/May/21/t14006697325z6sphwf1cbxs14.htm/, Retrieved Tue, 14 May 2024 23:15:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235014, Retrieved Tue, 14 May 2024 23:15:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-05-21 10:55:07] [a9350bbdd7016e8c1644512486dec5d2] [Current]
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Dataseries X:
99,7
107,5
107,5
114,5
118,7
117,8
111,7
112,3
104,9
102,4
100,3
106,6
94,2
96,9
94,7
104,9
108,3
104,7
108,3
105,2
99,2
99,3
92,3
98,6
88,4
89,5
90,5
103,5
105,1
107,1
111,6
104,6
103,3
104,6
94,1
97,7
92,4
89,5
100,1
109,6
105,5
108,9
108,8
103,9
104,3
102,1
96,6
101,4
90,4
91,8
100,4
105,3
105,1
107,6
103,7
102,7
99,2
95,6
96,3
104,1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235014&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235014&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.930978908041891
beta0.182747377688204
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.930978908041891 \tabularnewline
beta & 0.182747377688204 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235014&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]0.930978908041891[/C][/ROW]
[ROW][C]beta[/C][C]0.182747377688204[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235014&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
alpha0.930978908041891
beta0.182747377688204
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3107.5115.3-7.8
4114.5114.511319675077-0.011319675077317
5118.7120.971810593058-2.27181059305818
6117.8124.941320025352-7.14132002535247
7111.7123.162437870065-11.4624378700653
8112.3115.41053626341-3.11053626340994
9104.9114.90487106064-10.0048710606404
10102.4106.278557302586-3.87855730258568
11100.3102.695838147127-2.39583814712707
12106.6100.0858858345296.51411416547056
1394.2106.87918319723-12.6791831972299
1496.993.64676596702623.25323403297381
1594.795.8005787019979-1.10057870199793
16104.993.713837804747211.1861621952528
17108.3104.9689395372053.33106046279545
18104.7109.477833724195-4.77783372419456
19108.3105.6246467118922.67535328810843
20105.2109.165388039329-3.96538803932879
2199.2105.849092110378-6.64909211037823
2299.398.90308796375670.396912036243336
2392.398.5842932777824-6.28429327778242
2498.690.97626569990577.62373430009433
2588.497.613374511191-9.21337451119099
2689.587.00798231031532.4920176896847
2790.587.72404018211512.7759598178849
28103.589.176727206690114.3232727933099
29105.1103.816594092321.28340590768047
30107.1106.5349708655790.565029134421437
31111.6108.6806846557432.91931534425729
32104.6113.514863913622-8.91486391362203
33103.3105.814950840294-2.51495084029416
34104.6103.645343320640.954656679359886
3594.1104.868286736661-10.7682867366614
3697.793.34536589050944.35463410949056
3792.496.6424364999389-4.24243649993889
3889.591.2140332041725-1.71403320417248
39100.187.847904801256212.2520951987438
40109.699.568444770970810.0315552290292
41105.5110.928417021582-5.42841702158211
42108.9106.9719231354261.92807686457441
43108.8110.192201235252-1.39220123525209
44103.9110.084509754212-6.1845097542118
45104.3104.463085022365-0.163085022365294
46102.1104.419733412516-2.31973341251566
4796.6101.97392222138-5.37392222138014
48101.495.77043903131625.62956096868383
4990.4100.7687460738-10.3687460738003
5091.889.10889092647222.69110907352784
51100.490.06533449105710.334665508943
52105.399.89604538706475.40395461293532
53105.1106.055764603462-0.9557646034621
54107.6106.1321113571231.46788864287748
55103.7108.714565862564-5.0145658625642
56102.7104.408844032667-1.70884403266682
5799.2102.889947109992-3.68994710999245
5895.698.898899715326-3.29889971532602
5996.394.71065434429961.58934565570036
60104.195.34366397191228.75633602808782

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 107.5 & 115.3 & -7.8 \tabularnewline
4 & 114.5 & 114.511319675077 & -0.011319675077317 \tabularnewline
5 & 118.7 & 120.971810593058 & -2.27181059305818 \tabularnewline
6 & 117.8 & 124.941320025352 & -7.14132002535247 \tabularnewline
7 & 111.7 & 123.162437870065 & -11.4624378700653 \tabularnewline
8 & 112.3 & 115.41053626341 & -3.11053626340994 \tabularnewline
9 & 104.9 & 114.90487106064 & -10.0048710606404 \tabularnewline
10 & 102.4 & 106.278557302586 & -3.87855730258568 \tabularnewline
11 & 100.3 & 102.695838147127 & -2.39583814712707 \tabularnewline
12 & 106.6 & 100.085885834529 & 6.51411416547056 \tabularnewline
13 & 94.2 & 106.87918319723 & -12.6791831972299 \tabularnewline
14 & 96.9 & 93.6467659670262 & 3.25323403297381 \tabularnewline
15 & 94.7 & 95.8005787019979 & -1.10057870199793 \tabularnewline
16 & 104.9 & 93.7138378047472 & 11.1861621952528 \tabularnewline
17 & 108.3 & 104.968939537205 & 3.33106046279545 \tabularnewline
18 & 104.7 & 109.477833724195 & -4.77783372419456 \tabularnewline
19 & 108.3 & 105.624646711892 & 2.67535328810843 \tabularnewline
20 & 105.2 & 109.165388039329 & -3.96538803932879 \tabularnewline
21 & 99.2 & 105.849092110378 & -6.64909211037823 \tabularnewline
22 & 99.3 & 98.9030879637567 & 0.396912036243336 \tabularnewline
23 & 92.3 & 98.5842932777824 & -6.28429327778242 \tabularnewline
24 & 98.6 & 90.9762656999057 & 7.62373430009433 \tabularnewline
25 & 88.4 & 97.613374511191 & -9.21337451119099 \tabularnewline
26 & 89.5 & 87.0079823103153 & 2.4920176896847 \tabularnewline
27 & 90.5 & 87.7240401821151 & 2.7759598178849 \tabularnewline
28 & 103.5 & 89.1767272066901 & 14.3232727933099 \tabularnewline
29 & 105.1 & 103.81659409232 & 1.28340590768047 \tabularnewline
30 & 107.1 & 106.534970865579 & 0.565029134421437 \tabularnewline
31 & 111.6 & 108.680684655743 & 2.91931534425729 \tabularnewline
32 & 104.6 & 113.514863913622 & -8.91486391362203 \tabularnewline
33 & 103.3 & 105.814950840294 & -2.51495084029416 \tabularnewline
34 & 104.6 & 103.64534332064 & 0.954656679359886 \tabularnewline
35 & 94.1 & 104.868286736661 & -10.7682867366614 \tabularnewline
36 & 97.7 & 93.3453658905094 & 4.35463410949056 \tabularnewline
37 & 92.4 & 96.6424364999389 & -4.24243649993889 \tabularnewline
38 & 89.5 & 91.2140332041725 & -1.71403320417248 \tabularnewline
39 & 100.1 & 87.8479048012562 & 12.2520951987438 \tabularnewline
40 & 109.6 & 99.5684447709708 & 10.0315552290292 \tabularnewline
41 & 105.5 & 110.928417021582 & -5.42841702158211 \tabularnewline
42 & 108.9 & 106.971923135426 & 1.92807686457441 \tabularnewline
43 & 108.8 & 110.192201235252 & -1.39220123525209 \tabularnewline
44 & 103.9 & 110.084509754212 & -6.1845097542118 \tabularnewline
45 & 104.3 & 104.463085022365 & -0.163085022365294 \tabularnewline
46 & 102.1 & 104.419733412516 & -2.31973341251566 \tabularnewline
47 & 96.6 & 101.97392222138 & -5.37392222138014 \tabularnewline
48 & 101.4 & 95.7704390313162 & 5.62956096868383 \tabularnewline
49 & 90.4 & 100.7687460738 & -10.3687460738003 \tabularnewline
50 & 91.8 & 89.1088909264722 & 2.69110907352784 \tabularnewline
51 & 100.4 & 90.065334491057 & 10.334665508943 \tabularnewline
52 & 105.3 & 99.8960453870647 & 5.40395461293532 \tabularnewline
53 & 105.1 & 106.055764603462 & -0.9557646034621 \tabularnewline
54 & 107.6 & 106.132111357123 & 1.46788864287748 \tabularnewline
55 & 103.7 & 108.714565862564 & -5.0145658625642 \tabularnewline
56 & 102.7 & 104.408844032667 & -1.70884403266682 \tabularnewline
57 & 99.2 & 102.889947109992 & -3.68994710999245 \tabularnewline
58 & 95.6 & 98.898899715326 & -3.29889971532602 \tabularnewline
59 & 96.3 & 94.7106543442996 & 1.58934565570036 \tabularnewline
60 & 104.1 & 95.3436639719122 & 8.75633602808782 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235014&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]3[/C][C]107.5[/C][C]115.3[/C][C]-7.8[/C][/ROW]
[ROW][C]4[/C][C]114.5[/C][C]114.511319675077[/C][C]-0.011319675077317[/C][/ROW]
[ROW][C]5[/C][C]118.7[/C][C]120.971810593058[/C][C]-2.27181059305818[/C][/ROW]
[ROW][C]6[/C][C]117.8[/C][C]124.941320025352[/C][C]-7.14132002535247[/C][/ROW]
[ROW][C]7[/C][C]111.7[/C][C]123.162437870065[/C][C]-11.4624378700653[/C][/ROW]
[ROW][C]8[/C][C]112.3[/C][C]115.41053626341[/C][C]-3.11053626340994[/C][/ROW]
[ROW][C]9[/C][C]104.9[/C][C]114.90487106064[/C][C]-10.0048710606404[/C][/ROW]
[ROW][C]10[/C][C]102.4[/C][C]106.278557302586[/C][C]-3.87855730258568[/C][/ROW]
[ROW][C]11[/C][C]100.3[/C][C]102.695838147127[/C][C]-2.39583814712707[/C][/ROW]
[ROW][C]12[/C][C]106.6[/C][C]100.085885834529[/C][C]6.51411416547056[/C][/ROW]
[ROW][C]13[/C][C]94.2[/C][C]106.87918319723[/C][C]-12.6791831972299[/C][/ROW]
[ROW][C]14[/C][C]96.9[/C][C]93.6467659670262[/C][C]3.25323403297381[/C][/ROW]
[ROW][C]15[/C][C]94.7[/C][C]95.8005787019979[/C][C]-1.10057870199793[/C][/ROW]
[ROW][C]16[/C][C]104.9[/C][C]93.7138378047472[/C][C]11.1861621952528[/C][/ROW]
[ROW][C]17[/C][C]108.3[/C][C]104.968939537205[/C][C]3.33106046279545[/C][/ROW]
[ROW][C]18[/C][C]104.7[/C][C]109.477833724195[/C][C]-4.77783372419456[/C][/ROW]
[ROW][C]19[/C][C]108.3[/C][C]105.624646711892[/C][C]2.67535328810843[/C][/ROW]
[ROW][C]20[/C][C]105.2[/C][C]109.165388039329[/C][C]-3.96538803932879[/C][/ROW]
[ROW][C]21[/C][C]99.2[/C][C]105.849092110378[/C][C]-6.64909211037823[/C][/ROW]
[ROW][C]22[/C][C]99.3[/C][C]98.9030879637567[/C][C]0.396912036243336[/C][/ROW]
[ROW][C]23[/C][C]92.3[/C][C]98.5842932777824[/C][C]-6.28429327778242[/C][/ROW]
[ROW][C]24[/C][C]98.6[/C][C]90.9762656999057[/C][C]7.62373430009433[/C][/ROW]
[ROW][C]25[/C][C]88.4[/C][C]97.613374511191[/C][C]-9.21337451119099[/C][/ROW]
[ROW][C]26[/C][C]89.5[/C][C]87.0079823103153[/C][C]2.4920176896847[/C][/ROW]
[ROW][C]27[/C][C]90.5[/C][C]87.7240401821151[/C][C]2.7759598178849[/C][/ROW]
[ROW][C]28[/C][C]103.5[/C][C]89.1767272066901[/C][C]14.3232727933099[/C][/ROW]
[ROW][C]29[/C][C]105.1[/C][C]103.81659409232[/C][C]1.28340590768047[/C][/ROW]
[ROW][C]30[/C][C]107.1[/C][C]106.534970865579[/C][C]0.565029134421437[/C][/ROW]
[ROW][C]31[/C][C]111.6[/C][C]108.680684655743[/C][C]2.91931534425729[/C][/ROW]
[ROW][C]32[/C][C]104.6[/C][C]113.514863913622[/C][C]-8.91486391362203[/C][/ROW]
[ROW][C]33[/C][C]103.3[/C][C]105.814950840294[/C][C]-2.51495084029416[/C][/ROW]
[ROW][C]34[/C][C]104.6[/C][C]103.64534332064[/C][C]0.954656679359886[/C][/ROW]
[ROW][C]35[/C][C]94.1[/C][C]104.868286736661[/C][C]-10.7682867366614[/C][/ROW]
[ROW][C]36[/C][C]97.7[/C][C]93.3453658905094[/C][C]4.35463410949056[/C][/ROW]
[ROW][C]37[/C][C]92.4[/C][C]96.6424364999389[/C][C]-4.24243649993889[/C][/ROW]
[ROW][C]38[/C][C]89.5[/C][C]91.2140332041725[/C][C]-1.71403320417248[/C][/ROW]
[ROW][C]39[/C][C]100.1[/C][C]87.8479048012562[/C][C]12.2520951987438[/C][/ROW]
[ROW][C]40[/C][C]109.6[/C][C]99.5684447709708[/C][C]10.0315552290292[/C][/ROW]
[ROW][C]41[/C][C]105.5[/C][C]110.928417021582[/C][C]-5.42841702158211[/C][/ROW]
[ROW][C]42[/C][C]108.9[/C][C]106.971923135426[/C][C]1.92807686457441[/C][/ROW]
[ROW][C]43[/C][C]108.8[/C][C]110.192201235252[/C][C]-1.39220123525209[/C][/ROW]
[ROW][C]44[/C][C]103.9[/C][C]110.084509754212[/C][C]-6.1845097542118[/C][/ROW]
[ROW][C]45[/C][C]104.3[/C][C]104.463085022365[/C][C]-0.163085022365294[/C][/ROW]
[ROW][C]46[/C][C]102.1[/C][C]104.419733412516[/C][C]-2.31973341251566[/C][/ROW]
[ROW][C]47[/C][C]96.6[/C][C]101.97392222138[/C][C]-5.37392222138014[/C][/ROW]
[ROW][C]48[/C][C]101.4[/C][C]95.7704390313162[/C][C]5.62956096868383[/C][/ROW]
[ROW][C]49[/C][C]90.4[/C][C]100.7687460738[/C][C]-10.3687460738003[/C][/ROW]
[ROW][C]50[/C][C]91.8[/C][C]89.1088909264722[/C][C]2.69110907352784[/C][/ROW]
[ROW][C]51[/C][C]100.4[/C][C]90.065334491057[/C][C]10.334665508943[/C][/ROW]
[ROW][C]52[/C][C]105.3[/C][C]99.8960453870647[/C][C]5.40395461293532[/C][/ROW]
[ROW][C]53[/C][C]105.1[/C][C]106.055764603462[/C][C]-0.9557646034621[/C][/ROW]
[ROW][C]54[/C][C]107.6[/C][C]106.132111357123[/C][C]1.46788864287748[/C][/ROW]
[ROW][C]55[/C][C]103.7[/C][C]108.714565862564[/C][C]-5.0145658625642[/C][/ROW]
[ROW][C]56[/C][C]102.7[/C][C]104.408844032667[/C][C]-1.70884403266682[/C][/ROW]
[ROW][C]57[/C][C]99.2[/C][C]102.889947109992[/C][C]-3.68994710999245[/C][/ROW]
[ROW][C]58[/C][C]95.6[/C][C]98.898899715326[/C][C]-3.29889971532602[/C][/ROW]
[ROW][C]59[/C][C]96.3[/C][C]94.7106543442996[/C][C]1.58934565570036[/C][/ROW]
[ROW][C]60[/C][C]104.1[/C][C]95.3436639719122[/C][C]8.75633602808782[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235014&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235014&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
3107.5115.3-7.8
4114.5114.511319675077-0.011319675077317
5118.7120.971810593058-2.27181059305818
6117.8124.941320025352-7.14132002535247
7111.7123.162437870065-11.4624378700653
8112.3115.41053626341-3.11053626340994
9104.9114.90487106064-10.0048710606404
10102.4106.278557302586-3.87855730258568
11100.3102.695838147127-2.39583814712707
12106.6100.0858858345296.51411416547056
1394.2106.87918319723-12.6791831972299
1496.993.64676596702623.25323403297381
1594.795.8005787019979-1.10057870199793
16104.993.713837804747211.1861621952528
17108.3104.9689395372053.33106046279545
18104.7109.477833724195-4.77783372419456
19108.3105.6246467118922.67535328810843
20105.2109.165388039329-3.96538803932879
2199.2105.849092110378-6.64909211037823
2299.398.90308796375670.396912036243336
2392.398.5842932777824-6.28429327778242
2498.690.97626569990577.62373430009433
2588.497.613374511191-9.21337451119099
2689.587.00798231031532.4920176896847
2790.587.72404018211512.7759598178849
28103.589.176727206690114.3232727933099
29105.1103.816594092321.28340590768047
30107.1106.5349708655790.565029134421437
31111.6108.6806846557432.91931534425729
32104.6113.514863913622-8.91486391362203
33103.3105.814950840294-2.51495084029416
34104.6103.645343320640.954656679359886
3594.1104.868286736661-10.7682867366614
3697.793.34536589050944.35463410949056
3792.496.6424364999389-4.24243649993889
3889.591.2140332041725-1.71403320417248
39100.187.847904801256212.2520951987438
40109.699.568444770970810.0315552290292
41105.5110.928417021582-5.42841702158211
42108.9106.9719231354261.92807686457441
43108.8110.192201235252-1.39220123525209
44103.9110.084509754212-6.1845097542118
45104.3104.463085022365-0.163085022365294
46102.1104.419733412516-2.31973341251566
4796.6101.97392222138-5.37392222138014
48101.495.77043903131625.62956096868383
4990.4100.7687460738-10.3687460738003
5091.889.10889092647222.69110907352784
51100.490.06533449105710.334665508943
52105.399.89604538706475.40395461293532
53105.1106.055764603462-0.9557646034621
54107.6106.1321113571231.46788864287748
55103.7108.714565862564-5.0145658625642
56102.7104.408844032667-1.70884403266682
5799.2102.889947109992-3.68994710999245
5895.698.898899715326-3.29889971532602
5996.394.71065434429961.58934565570036
60104.195.34366397191228.75633602808782







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61104.13874054248691.9069102686131116.370570816359
62104.78185295918386.587855362587122.975850555779
63105.4249653758881.4914334537559129.358497298003
64106.06807779257676.3417189117206135.794436673432
65106.71119020927371.0431306884532142.379249730093
66107.3543026259765.5555268237201149.15307842822
67107.99741504266759.8611551820496156.133674903284
68108.64052745936353.9527082517505163.328346666976
69109.2836398760647.8281815113932170.739098240727
70109.92675229275741.488397344332178.365107241182
71110.56986470945434.935716993704186.204012425204
72111.21297712615128.1733328829786194.252621369322

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 104.138740542486 & 91.9069102686131 & 116.370570816359 \tabularnewline
62 & 104.781852959183 & 86.587855362587 & 122.975850555779 \tabularnewline
63 & 105.42496537588 & 81.4914334537559 & 129.358497298003 \tabularnewline
64 & 106.068077792576 & 76.3417189117206 & 135.794436673432 \tabularnewline
65 & 106.711190209273 & 71.0431306884532 & 142.379249730093 \tabularnewline
66 & 107.35430262597 & 65.5555268237201 & 149.15307842822 \tabularnewline
67 & 107.997415042667 & 59.8611551820496 & 156.133674903284 \tabularnewline
68 & 108.640527459363 & 53.9527082517505 & 163.328346666976 \tabularnewline
69 & 109.28363987606 & 47.8281815113932 & 170.739098240727 \tabularnewline
70 & 109.926752292757 & 41.488397344332 & 178.365107241182 \tabularnewline
71 & 110.569864709454 & 34.935716993704 & 186.204012425204 \tabularnewline
72 & 111.212977126151 & 28.1733328829786 & 194.252621369322 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235014&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]104.138740542486[/C][C]91.9069102686131[/C][C]116.370570816359[/C][/ROW]
[ROW][C]62[/C][C]104.781852959183[/C][C]86.587855362587[/C][C]122.975850555779[/C][/ROW]
[ROW][C]63[/C][C]105.42496537588[/C][C]81.4914334537559[/C][C]129.358497298003[/C][/ROW]
[ROW][C]64[/C][C]106.068077792576[/C][C]76.3417189117206[/C][C]135.794436673432[/C][/ROW]
[ROW][C]65[/C][C]106.711190209273[/C][C]71.0431306884532[/C][C]142.379249730093[/C][/ROW]
[ROW][C]66[/C][C]107.35430262597[/C][C]65.5555268237201[/C][C]149.15307842822[/C][/ROW]
[ROW][C]67[/C][C]107.997415042667[/C][C]59.8611551820496[/C][C]156.133674903284[/C][/ROW]
[ROW][C]68[/C][C]108.640527459363[/C][C]53.9527082517505[/C][C]163.328346666976[/C][/ROW]
[ROW][C]69[/C][C]109.28363987606[/C][C]47.8281815113932[/C][C]170.739098240727[/C][/ROW]
[ROW][C]70[/C][C]109.926752292757[/C][C]41.488397344332[/C][C]178.365107241182[/C][/ROW]
[ROW][C]71[/C][C]110.569864709454[/C][C]34.935716993704[/C][C]186.204012425204[/C][/ROW]
[ROW][C]72[/C][C]111.212977126151[/C][C]28.1733328829786[/C][C]194.252621369322[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235014&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235014&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
61104.13874054248691.9069102686131116.370570816359
62104.78185295918386.587855362587122.975850555779
63105.4249653758881.4914334537559129.358497298003
64106.06807779257676.3417189117206135.794436673432
65106.71119020927371.0431306884532142.379249730093
66107.3543026259765.5555268237201149.15307842822
67107.99741504266759.8611551820496156.133674903284
68108.64052745936353.9527082517505163.328346666976
69109.2836398760647.8281815113932170.739098240727
70109.92675229275741.488397344332178.365107241182
71110.56986470945434.935716993704186.204012425204
72111.21297712615128.1733328829786194.252621369322



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