Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 28 May 2012 11:08:07 -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/2012/May/28/t1338217809sm9fb0g0gslffjx.htm/, Retrieved Thu, 02 May 2024 04:13:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167811, Retrieved Thu, 02 May 2024 04:13:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2012-05-28 15:08:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message
Dataseries X:
97,81
97,81
97,34
97,02
96,96
96,89
96,89
96,87
96,63
96,35
96,34
96,39
96,39
96,31
96,28
96,28
96,7
96,66
96,66
96,66
96,72
96,88
96,77
96,74
96,74
96,62
97,04
96,93
96,24
96,21
96,21
96,18
96,2
96,51
96,69
96,77
96,77
96,66
96,75
96,98
96,33
96,37
96,37
96,37
96,44
96,65
97,31
97,41
97,41
97,48
97,29
97,15
97,23
97,15
97,15
97,26
96,99
97,71
97,89
97,81
97,81
97,78
98
98,72
98,85
98,93
98,93
98,95
99,41
99,47
99,57
99,63




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167811&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167811&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167811&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167811&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167811&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167811&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
397.3497.81-0.469999999999999
497.0297.34-0.320000000000007
596.9697.02-0.0600000000000023
696.8996.96-0.0699999999999932
796.8996.890
896.8796.89-0.019999999999996
996.6396.87-0.240000000000009
1096.3596.63-0.280000000000001
1196.3496.35-0.00999999999999091
1296.3996.340.0499999999999972
1396.3996.390
1496.3196.39-0.0799999999999983
1596.2896.31-0.0300000000000011
1696.2896.280
1796.796.280.420000000000002
1896.6696.7-0.0400000000000063
1996.6696.660
2096.6696.660
2196.7296.660.0600000000000023
2296.8896.720.159999999999997
2396.7796.88-0.109999999999999
2496.7496.77-0.0300000000000011
2596.7496.740
2696.6296.74-0.11999999999999
2797.0496.620.420000000000002
2896.9397.04-0.109999999999999
2996.2496.93-0.690000000000012
3096.2196.24-0.0300000000000011
3196.2196.210
3296.1896.21-0.0299999999999869
3396.296.180.019999999999996
3496.5196.20.310000000000002
3596.6996.510.179999999999993
3696.7796.690.0799999999999983
3796.7796.770
3896.6696.77-0.109999999999999
3996.7596.660.0900000000000034
4096.9896.750.230000000000004
4196.3396.98-0.650000000000006
4296.3796.330.0400000000000063
4396.3796.370
4496.3796.370
4596.4496.370.0699999999999932
4696.6596.440.210000000000008
4797.3196.650.659999999999997
4897.4197.310.0999999999999943
4997.4197.410
5097.4897.410.0700000000000074
5197.2997.48-0.189999999999998
5297.1597.29-0.140000000000001
5397.2397.150.0799999999999983
5497.1597.23-0.0799999999999983
5597.1597.150
5697.2697.150.109999999999999
5796.9997.26-0.27000000000001
5897.7196.990.719999999999999
5997.8997.710.180000000000007
6097.8197.89-0.0799999999999983
6197.8197.810
6297.7897.81-0.0300000000000011
639897.780.219999999999999
6498.72980.719999999999999
6598.8598.720.129999999999995
6698.9398.850.0800000000000125
6798.9398.930
6898.9598.930.019999999999996
6999.4198.950.459999999999994
7099.4799.410.0600000000000023
7199.5799.470.0999999999999943
7299.6399.570.0600000000000023

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 97.34 & 97.81 & -0.469999999999999 \tabularnewline
4 & 97.02 & 97.34 & -0.320000000000007 \tabularnewline
5 & 96.96 & 97.02 & -0.0600000000000023 \tabularnewline
6 & 96.89 & 96.96 & -0.0699999999999932 \tabularnewline
7 & 96.89 & 96.89 & 0 \tabularnewline
8 & 96.87 & 96.89 & -0.019999999999996 \tabularnewline
9 & 96.63 & 96.87 & -0.240000000000009 \tabularnewline
10 & 96.35 & 96.63 & -0.280000000000001 \tabularnewline
11 & 96.34 & 96.35 & -0.00999999999999091 \tabularnewline
12 & 96.39 & 96.34 & 0.0499999999999972 \tabularnewline
13 & 96.39 & 96.39 & 0 \tabularnewline
14 & 96.31 & 96.39 & -0.0799999999999983 \tabularnewline
15 & 96.28 & 96.31 & -0.0300000000000011 \tabularnewline
16 & 96.28 & 96.28 & 0 \tabularnewline
17 & 96.7 & 96.28 & 0.420000000000002 \tabularnewline
18 & 96.66 & 96.7 & -0.0400000000000063 \tabularnewline
19 & 96.66 & 96.66 & 0 \tabularnewline
20 & 96.66 & 96.66 & 0 \tabularnewline
21 & 96.72 & 96.66 & 0.0600000000000023 \tabularnewline
22 & 96.88 & 96.72 & 0.159999999999997 \tabularnewline
23 & 96.77 & 96.88 & -0.109999999999999 \tabularnewline
24 & 96.74 & 96.77 & -0.0300000000000011 \tabularnewline
25 & 96.74 & 96.74 & 0 \tabularnewline
26 & 96.62 & 96.74 & -0.11999999999999 \tabularnewline
27 & 97.04 & 96.62 & 0.420000000000002 \tabularnewline
28 & 96.93 & 97.04 & -0.109999999999999 \tabularnewline
29 & 96.24 & 96.93 & -0.690000000000012 \tabularnewline
30 & 96.21 & 96.24 & -0.0300000000000011 \tabularnewline
31 & 96.21 & 96.21 & 0 \tabularnewline
32 & 96.18 & 96.21 & -0.0299999999999869 \tabularnewline
33 & 96.2 & 96.18 & 0.019999999999996 \tabularnewline
34 & 96.51 & 96.2 & 0.310000000000002 \tabularnewline
35 & 96.69 & 96.51 & 0.179999999999993 \tabularnewline
36 & 96.77 & 96.69 & 0.0799999999999983 \tabularnewline
37 & 96.77 & 96.77 & 0 \tabularnewline
38 & 96.66 & 96.77 & -0.109999999999999 \tabularnewline
39 & 96.75 & 96.66 & 0.0900000000000034 \tabularnewline
40 & 96.98 & 96.75 & 0.230000000000004 \tabularnewline
41 & 96.33 & 96.98 & -0.650000000000006 \tabularnewline
42 & 96.37 & 96.33 & 0.0400000000000063 \tabularnewline
43 & 96.37 & 96.37 & 0 \tabularnewline
44 & 96.37 & 96.37 & 0 \tabularnewline
45 & 96.44 & 96.37 & 0.0699999999999932 \tabularnewline
46 & 96.65 & 96.44 & 0.210000000000008 \tabularnewline
47 & 97.31 & 96.65 & 0.659999999999997 \tabularnewline
48 & 97.41 & 97.31 & 0.0999999999999943 \tabularnewline
49 & 97.41 & 97.41 & 0 \tabularnewline
50 & 97.48 & 97.41 & 0.0700000000000074 \tabularnewline
51 & 97.29 & 97.48 & -0.189999999999998 \tabularnewline
52 & 97.15 & 97.29 & -0.140000000000001 \tabularnewline
53 & 97.23 & 97.15 & 0.0799999999999983 \tabularnewline
54 & 97.15 & 97.23 & -0.0799999999999983 \tabularnewline
55 & 97.15 & 97.15 & 0 \tabularnewline
56 & 97.26 & 97.15 & 0.109999999999999 \tabularnewline
57 & 96.99 & 97.26 & -0.27000000000001 \tabularnewline
58 & 97.71 & 96.99 & 0.719999999999999 \tabularnewline
59 & 97.89 & 97.71 & 0.180000000000007 \tabularnewline
60 & 97.81 & 97.89 & -0.0799999999999983 \tabularnewline
61 & 97.81 & 97.81 & 0 \tabularnewline
62 & 97.78 & 97.81 & -0.0300000000000011 \tabularnewline
63 & 98 & 97.78 & 0.219999999999999 \tabularnewline
64 & 98.72 & 98 & 0.719999999999999 \tabularnewline
65 & 98.85 & 98.72 & 0.129999999999995 \tabularnewline
66 & 98.93 & 98.85 & 0.0800000000000125 \tabularnewline
67 & 98.93 & 98.93 & 0 \tabularnewline
68 & 98.95 & 98.93 & 0.019999999999996 \tabularnewline
69 & 99.41 & 98.95 & 0.459999999999994 \tabularnewline
70 & 99.47 & 99.41 & 0.0600000000000023 \tabularnewline
71 & 99.57 & 99.47 & 0.0999999999999943 \tabularnewline
72 & 99.63 & 99.57 & 0.0600000000000023 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167811&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]97.34[/C][C]97.81[/C][C]-0.469999999999999[/C][/ROW]
[ROW][C]4[/C][C]97.02[/C][C]97.34[/C][C]-0.320000000000007[/C][/ROW]
[ROW][C]5[/C][C]96.96[/C][C]97.02[/C][C]-0.0600000000000023[/C][/ROW]
[ROW][C]6[/C][C]96.89[/C][C]96.96[/C][C]-0.0699999999999932[/C][/ROW]
[ROW][C]7[/C][C]96.89[/C][C]96.89[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]96.87[/C][C]96.89[/C][C]-0.019999999999996[/C][/ROW]
[ROW][C]9[/C][C]96.63[/C][C]96.87[/C][C]-0.240000000000009[/C][/ROW]
[ROW][C]10[/C][C]96.35[/C][C]96.63[/C][C]-0.280000000000001[/C][/ROW]
[ROW][C]11[/C][C]96.34[/C][C]96.35[/C][C]-0.00999999999999091[/C][/ROW]
[ROW][C]12[/C][C]96.39[/C][C]96.34[/C][C]0.0499999999999972[/C][/ROW]
[ROW][C]13[/C][C]96.39[/C][C]96.39[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]96.31[/C][C]96.39[/C][C]-0.0799999999999983[/C][/ROW]
[ROW][C]15[/C][C]96.28[/C][C]96.31[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]16[/C][C]96.28[/C][C]96.28[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]96.7[/C][C]96.28[/C][C]0.420000000000002[/C][/ROW]
[ROW][C]18[/C][C]96.66[/C][C]96.7[/C][C]-0.0400000000000063[/C][/ROW]
[ROW][C]19[/C][C]96.66[/C][C]96.66[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]96.66[/C][C]96.66[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]96.72[/C][C]96.66[/C][C]0.0600000000000023[/C][/ROW]
[ROW][C]22[/C][C]96.88[/C][C]96.72[/C][C]0.159999999999997[/C][/ROW]
[ROW][C]23[/C][C]96.77[/C][C]96.88[/C][C]-0.109999999999999[/C][/ROW]
[ROW][C]24[/C][C]96.74[/C][C]96.77[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]25[/C][C]96.74[/C][C]96.74[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]96.62[/C][C]96.74[/C][C]-0.11999999999999[/C][/ROW]
[ROW][C]27[/C][C]97.04[/C][C]96.62[/C][C]0.420000000000002[/C][/ROW]
[ROW][C]28[/C][C]96.93[/C][C]97.04[/C][C]-0.109999999999999[/C][/ROW]
[ROW][C]29[/C][C]96.24[/C][C]96.93[/C][C]-0.690000000000012[/C][/ROW]
[ROW][C]30[/C][C]96.21[/C][C]96.24[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]31[/C][C]96.21[/C][C]96.21[/C][C]0[/C][/ROW]
[ROW][C]32[/C][C]96.18[/C][C]96.21[/C][C]-0.0299999999999869[/C][/ROW]
[ROW][C]33[/C][C]96.2[/C][C]96.18[/C][C]0.019999999999996[/C][/ROW]
[ROW][C]34[/C][C]96.51[/C][C]96.2[/C][C]0.310000000000002[/C][/ROW]
[ROW][C]35[/C][C]96.69[/C][C]96.51[/C][C]0.179999999999993[/C][/ROW]
[ROW][C]36[/C][C]96.77[/C][C]96.69[/C][C]0.0799999999999983[/C][/ROW]
[ROW][C]37[/C][C]96.77[/C][C]96.77[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]96.66[/C][C]96.77[/C][C]-0.109999999999999[/C][/ROW]
[ROW][C]39[/C][C]96.75[/C][C]96.66[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]40[/C][C]96.98[/C][C]96.75[/C][C]0.230000000000004[/C][/ROW]
[ROW][C]41[/C][C]96.33[/C][C]96.98[/C][C]-0.650000000000006[/C][/ROW]
[ROW][C]42[/C][C]96.37[/C][C]96.33[/C][C]0.0400000000000063[/C][/ROW]
[ROW][C]43[/C][C]96.37[/C][C]96.37[/C][C]0[/C][/ROW]
[ROW][C]44[/C][C]96.37[/C][C]96.37[/C][C]0[/C][/ROW]
[ROW][C]45[/C][C]96.44[/C][C]96.37[/C][C]0.0699999999999932[/C][/ROW]
[ROW][C]46[/C][C]96.65[/C][C]96.44[/C][C]0.210000000000008[/C][/ROW]
[ROW][C]47[/C][C]97.31[/C][C]96.65[/C][C]0.659999999999997[/C][/ROW]
[ROW][C]48[/C][C]97.41[/C][C]97.31[/C][C]0.0999999999999943[/C][/ROW]
[ROW][C]49[/C][C]97.41[/C][C]97.41[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]97.48[/C][C]97.41[/C][C]0.0700000000000074[/C][/ROW]
[ROW][C]51[/C][C]97.29[/C][C]97.48[/C][C]-0.189999999999998[/C][/ROW]
[ROW][C]52[/C][C]97.15[/C][C]97.29[/C][C]-0.140000000000001[/C][/ROW]
[ROW][C]53[/C][C]97.23[/C][C]97.15[/C][C]0.0799999999999983[/C][/ROW]
[ROW][C]54[/C][C]97.15[/C][C]97.23[/C][C]-0.0799999999999983[/C][/ROW]
[ROW][C]55[/C][C]97.15[/C][C]97.15[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]97.26[/C][C]97.15[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]57[/C][C]96.99[/C][C]97.26[/C][C]-0.27000000000001[/C][/ROW]
[ROW][C]58[/C][C]97.71[/C][C]96.99[/C][C]0.719999999999999[/C][/ROW]
[ROW][C]59[/C][C]97.89[/C][C]97.71[/C][C]0.180000000000007[/C][/ROW]
[ROW][C]60[/C][C]97.81[/C][C]97.89[/C][C]-0.0799999999999983[/C][/ROW]
[ROW][C]61[/C][C]97.81[/C][C]97.81[/C][C]0[/C][/ROW]
[ROW][C]62[/C][C]97.78[/C][C]97.81[/C][C]-0.0300000000000011[/C][/ROW]
[ROW][C]63[/C][C]98[/C][C]97.78[/C][C]0.219999999999999[/C][/ROW]
[ROW][C]64[/C][C]98.72[/C][C]98[/C][C]0.719999999999999[/C][/ROW]
[ROW][C]65[/C][C]98.85[/C][C]98.72[/C][C]0.129999999999995[/C][/ROW]
[ROW][C]66[/C][C]98.93[/C][C]98.85[/C][C]0.0800000000000125[/C][/ROW]
[ROW][C]67[/C][C]98.93[/C][C]98.93[/C][C]0[/C][/ROW]
[ROW][C]68[/C][C]98.95[/C][C]98.93[/C][C]0.019999999999996[/C][/ROW]
[ROW][C]69[/C][C]99.41[/C][C]98.95[/C][C]0.459999999999994[/C][/ROW]
[ROW][C]70[/C][C]99.47[/C][C]99.41[/C][C]0.0600000000000023[/C][/ROW]
[ROW][C]71[/C][C]99.57[/C][C]99.47[/C][C]0.0999999999999943[/C][/ROW]
[ROW][C]72[/C][C]99.63[/C][C]99.57[/C][C]0.0600000000000023[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167811&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167811&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
397.3497.81-0.469999999999999
497.0297.34-0.320000000000007
596.9697.02-0.0600000000000023
696.8996.96-0.0699999999999932
796.8996.890
896.8796.89-0.019999999999996
996.6396.87-0.240000000000009
1096.3596.63-0.280000000000001
1196.3496.35-0.00999999999999091
1296.3996.340.0499999999999972
1396.3996.390
1496.3196.39-0.0799999999999983
1596.2896.31-0.0300000000000011
1696.2896.280
1796.796.280.420000000000002
1896.6696.7-0.0400000000000063
1996.6696.660
2096.6696.660
2196.7296.660.0600000000000023
2296.8896.720.159999999999997
2396.7796.88-0.109999999999999
2496.7496.77-0.0300000000000011
2596.7496.740
2696.6296.74-0.11999999999999
2797.0496.620.420000000000002
2896.9397.04-0.109999999999999
2996.2496.93-0.690000000000012
3096.2196.24-0.0300000000000011
3196.2196.210
3296.1896.21-0.0299999999999869
3396.296.180.019999999999996
3496.5196.20.310000000000002
3596.6996.510.179999999999993
3696.7796.690.0799999999999983
3796.7796.770
3896.6696.77-0.109999999999999
3996.7596.660.0900000000000034
4096.9896.750.230000000000004
4196.3396.98-0.650000000000006
4296.3796.330.0400000000000063
4396.3796.370
4496.3796.370
4596.4496.370.0699999999999932
4696.6596.440.210000000000008
4797.3196.650.659999999999997
4897.4197.310.0999999999999943
4997.4197.410
5097.4897.410.0700000000000074
5197.2997.48-0.189999999999998
5297.1597.29-0.140000000000001
5397.2397.150.0799999999999983
5497.1597.23-0.0799999999999983
5597.1597.150
5697.2697.150.109999999999999
5796.9997.26-0.27000000000001
5897.7196.990.719999999999999
5997.8997.710.180000000000007
6097.8197.89-0.0799999999999983
6197.8197.810
6297.7897.81-0.0300000000000011
639897.780.219999999999999
6498.72980.719999999999999
6598.8598.720.129999999999995
6698.9398.850.0800000000000125
6798.9398.930
6898.9598.930.019999999999996
6999.4198.950.459999999999994
7099.4799.410.0600000000000023
7199.5799.470.0999999999999943
7299.6399.570.0600000000000023







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.6399.1584100478961100.101589952104
7499.6398.9630710938558100.296928906144
7599.6398.813182242617100.446817757383
7699.6398.6868200957922100.573179904208
7799.6398.5754928095898100.68450719041
7899.6398.4748452495218100.785154750478
7999.6398.3822902659362100.877709734064
8099.6398.2961421877115100.963857812288
8199.6398.2152301436883101.044769856312
8299.6398.1387016297019101.121298370298
8399.6398.0659130739697101.19408692603
8499.6397.9963644852341101.263635514766

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 99.63 & 99.1584100478961 & 100.101589952104 \tabularnewline
74 & 99.63 & 98.9630710938558 & 100.296928906144 \tabularnewline
75 & 99.63 & 98.813182242617 & 100.446817757383 \tabularnewline
76 & 99.63 & 98.6868200957922 & 100.573179904208 \tabularnewline
77 & 99.63 & 98.5754928095898 & 100.68450719041 \tabularnewline
78 & 99.63 & 98.4748452495218 & 100.785154750478 \tabularnewline
79 & 99.63 & 98.3822902659362 & 100.877709734064 \tabularnewline
80 & 99.63 & 98.2961421877115 & 100.963857812288 \tabularnewline
81 & 99.63 & 98.2152301436883 & 101.044769856312 \tabularnewline
82 & 99.63 & 98.1387016297019 & 101.121298370298 \tabularnewline
83 & 99.63 & 98.0659130739697 & 101.19408692603 \tabularnewline
84 & 99.63 & 97.9963644852341 & 101.263635514766 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167811&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]73[/C][C]99.63[/C][C]99.1584100478961[/C][C]100.101589952104[/C][/ROW]
[ROW][C]74[/C][C]99.63[/C][C]98.9630710938558[/C][C]100.296928906144[/C][/ROW]
[ROW][C]75[/C][C]99.63[/C][C]98.813182242617[/C][C]100.446817757383[/C][/ROW]
[ROW][C]76[/C][C]99.63[/C][C]98.6868200957922[/C][C]100.573179904208[/C][/ROW]
[ROW][C]77[/C][C]99.63[/C][C]98.5754928095898[/C][C]100.68450719041[/C][/ROW]
[ROW][C]78[/C][C]99.63[/C][C]98.4748452495218[/C][C]100.785154750478[/C][/ROW]
[ROW][C]79[/C][C]99.63[/C][C]98.3822902659362[/C][C]100.877709734064[/C][/ROW]
[ROW][C]80[/C][C]99.63[/C][C]98.2961421877115[/C][C]100.963857812288[/C][/ROW]
[ROW][C]81[/C][C]99.63[/C][C]98.2152301436883[/C][C]101.044769856312[/C][/ROW]
[ROW][C]82[/C][C]99.63[/C][C]98.1387016297019[/C][C]101.121298370298[/C][/ROW]
[ROW][C]83[/C][C]99.63[/C][C]98.0659130739697[/C][C]101.19408692603[/C][/ROW]
[ROW][C]84[/C][C]99.63[/C][C]97.9963644852341[/C][C]101.263635514766[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167811&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167811&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.6399.1584100478961100.101589952104
7499.6398.9630710938558100.296928906144
7599.6398.813182242617100.446817757383
7699.6398.6868200957922100.573179904208
7799.6398.5754928095898100.68450719041
7899.6398.4748452495218100.785154750478
7999.6398.3822902659362100.877709734064
8099.6398.2961421877115100.963857812288
8199.6398.2152301436883101.044769856312
8299.6398.1387016297019101.121298370298
8399.6398.0659130739697101.19408692603
8499.6397.9963644852341101.263635514766



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')