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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 27 May 2008 08:01:47 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/27/t121189696949kz40ecjaci912.htm/, Retrieved Sun, 19 May 2024 11:49:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13355, Retrieved Sun, 19 May 2024 11:49:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact197
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2008-05-27 14:01:47] [b46ff5180a79ecd706507099e9497e04] [Current]
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Dataseries X:
117,99
118,13
117,06
118,03
118,57
118,44
118,02
118,18
116,79
116,91
117,19
117,3
116,35
117,04
116,26
115,91
115,75
115,21
115,07
114,17
113,96
113,59
114,47
113,52
113,56
113,59
113
112,07
111,11
109,61
109,51
109,21
108,86
107,99
108,74
108,74
107,74
107,8
106,96
106,73
106,27
105,69
105,39
105,09
104,94
104,75
104,38
103,65
103,49
103,39
103,48
103,33
103,61
103,21
102,85
103,25
102,88
102,51
101,99
101,6
101,21
100,74
100,36
100,26
100,37
100,23
100,02
99,8
99,58
99,69
99,53
99,37




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13355&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13355&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13355&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13355&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]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13355&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13355&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
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2118.13117.990.140000000000001
3117.06118.13-1.06999999999999
4118.03117.060.969999999999999
5118.57118.030.539999999999992
6118.44118.57-0.129999999999995
7118.02118.44-0.420000000000002
8118.18118.020.160000000000011
9116.79118.18-1.39
10116.91116.790.119999999999990
11117.19116.910.280000000000001
12117.3117.190.109999999999999
13116.35117.3-0.950000000000003
14117.04116.350.690000000000012
15116.26117.04-0.780000000000001
16115.91116.26-0.350000000000009
17115.75115.91-0.159999999999997
18115.21115.75-0.540000000000006
19115.07115.21-0.140000000000001
20114.17115.07-0.899999999999991
21113.96114.17-0.210000000000008
22113.59113.96-0.36999999999999
23114.47113.590.879999999999995
24113.52114.47-0.950000000000003
25113.56113.520.0400000000000063
26113.59113.560.0300000000000011
27113113.59-0.590000000000003
28112.07113-0.930000000000007
29111.11112.07-0.959999999999994
30109.61111.11-1.5
31109.51109.61-0.0999999999999943
32109.21109.51-0.300000000000011
33108.86109.21-0.349999999999994
34107.99108.86-0.870000000000005
35108.74107.990.75
36108.74108.740
37107.74108.74-1
38107.8107.740.0600000000000023
39106.96107.8-0.840000000000003
40106.73106.96-0.229999999999990
41106.27106.73-0.460000000000008
42105.69106.27-0.579999999999998
43105.39105.69-0.299999999999997
44105.09105.39-0.299999999999997
45104.94105.09-0.150000000000006
46104.75104.94-0.189999999999998
47104.38104.75-0.370000000000005
48103.65104.38-0.72999999999999
49103.49103.65-0.160000000000011
50103.39103.49-0.0999999999999943
51103.48103.390.0900000000000034
52103.33103.48-0.150000000000006
53103.61103.330.280000000000001
54103.21103.61-0.400000000000006
55102.85103.21-0.359999999999999
56103.25102.850.400000000000006
57102.88103.25-0.370000000000005
58102.51102.88-0.36999999999999
59101.99102.51-0.52000000000001
60101.6101.99-0.390000000000001
61101.21101.6-0.390000000000001
62100.74101.21-0.469999999999999
63100.36100.74-0.379999999999995
64100.26100.36-0.0999999999999943
65100.37100.260.109999999999999
66100.23100.37-0.140000000000001
67100.02100.23-0.210000000000008
6899.8100.02-0.219999999999999
6999.5899.8-0.219999999999999
7099.6999.580.109999999999999
7199.5399.69-0.159999999999997
7299.3799.53-0.159999999999997

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 118.13 & 117.99 & 0.140000000000001 \tabularnewline
3 & 117.06 & 118.13 & -1.06999999999999 \tabularnewline
4 & 118.03 & 117.06 & 0.969999999999999 \tabularnewline
5 & 118.57 & 118.03 & 0.539999999999992 \tabularnewline
6 & 118.44 & 118.57 & -0.129999999999995 \tabularnewline
7 & 118.02 & 118.44 & -0.420000000000002 \tabularnewline
8 & 118.18 & 118.02 & 0.160000000000011 \tabularnewline
9 & 116.79 & 118.18 & -1.39 \tabularnewline
10 & 116.91 & 116.79 & 0.119999999999990 \tabularnewline
11 & 117.19 & 116.91 & 0.280000000000001 \tabularnewline
12 & 117.3 & 117.19 & 0.109999999999999 \tabularnewline
13 & 116.35 & 117.3 & -0.950000000000003 \tabularnewline
14 & 117.04 & 116.35 & 0.690000000000012 \tabularnewline
15 & 116.26 & 117.04 & -0.780000000000001 \tabularnewline
16 & 115.91 & 116.26 & -0.350000000000009 \tabularnewline
17 & 115.75 & 115.91 & -0.159999999999997 \tabularnewline
18 & 115.21 & 115.75 & -0.540000000000006 \tabularnewline
19 & 115.07 & 115.21 & -0.140000000000001 \tabularnewline
20 & 114.17 & 115.07 & -0.899999999999991 \tabularnewline
21 & 113.96 & 114.17 & -0.210000000000008 \tabularnewline
22 & 113.59 & 113.96 & -0.36999999999999 \tabularnewline
23 & 114.47 & 113.59 & 0.879999999999995 \tabularnewline
24 & 113.52 & 114.47 & -0.950000000000003 \tabularnewline
25 & 113.56 & 113.52 & 0.0400000000000063 \tabularnewline
26 & 113.59 & 113.56 & 0.0300000000000011 \tabularnewline
27 & 113 & 113.59 & -0.590000000000003 \tabularnewline
28 & 112.07 & 113 & -0.930000000000007 \tabularnewline
29 & 111.11 & 112.07 & -0.959999999999994 \tabularnewline
30 & 109.61 & 111.11 & -1.5 \tabularnewline
31 & 109.51 & 109.61 & -0.0999999999999943 \tabularnewline
32 & 109.21 & 109.51 & -0.300000000000011 \tabularnewline
33 & 108.86 & 109.21 & -0.349999999999994 \tabularnewline
34 & 107.99 & 108.86 & -0.870000000000005 \tabularnewline
35 & 108.74 & 107.99 & 0.75 \tabularnewline
36 & 108.74 & 108.74 & 0 \tabularnewline
37 & 107.74 & 108.74 & -1 \tabularnewline
38 & 107.8 & 107.74 & 0.0600000000000023 \tabularnewline
39 & 106.96 & 107.8 & -0.840000000000003 \tabularnewline
40 & 106.73 & 106.96 & -0.229999999999990 \tabularnewline
41 & 106.27 & 106.73 & -0.460000000000008 \tabularnewline
42 & 105.69 & 106.27 & -0.579999999999998 \tabularnewline
43 & 105.39 & 105.69 & -0.299999999999997 \tabularnewline
44 & 105.09 & 105.39 & -0.299999999999997 \tabularnewline
45 & 104.94 & 105.09 & -0.150000000000006 \tabularnewline
46 & 104.75 & 104.94 & -0.189999999999998 \tabularnewline
47 & 104.38 & 104.75 & -0.370000000000005 \tabularnewline
48 & 103.65 & 104.38 & -0.72999999999999 \tabularnewline
49 & 103.49 & 103.65 & -0.160000000000011 \tabularnewline
50 & 103.39 & 103.49 & -0.0999999999999943 \tabularnewline
51 & 103.48 & 103.39 & 0.0900000000000034 \tabularnewline
52 & 103.33 & 103.48 & -0.150000000000006 \tabularnewline
53 & 103.61 & 103.33 & 0.280000000000001 \tabularnewline
54 & 103.21 & 103.61 & -0.400000000000006 \tabularnewline
55 & 102.85 & 103.21 & -0.359999999999999 \tabularnewline
56 & 103.25 & 102.85 & 0.400000000000006 \tabularnewline
57 & 102.88 & 103.25 & -0.370000000000005 \tabularnewline
58 & 102.51 & 102.88 & -0.36999999999999 \tabularnewline
59 & 101.99 & 102.51 & -0.52000000000001 \tabularnewline
60 & 101.6 & 101.99 & -0.390000000000001 \tabularnewline
61 & 101.21 & 101.6 & -0.390000000000001 \tabularnewline
62 & 100.74 & 101.21 & -0.469999999999999 \tabularnewline
63 & 100.36 & 100.74 & -0.379999999999995 \tabularnewline
64 & 100.26 & 100.36 & -0.0999999999999943 \tabularnewline
65 & 100.37 & 100.26 & 0.109999999999999 \tabularnewline
66 & 100.23 & 100.37 & -0.140000000000001 \tabularnewline
67 & 100.02 & 100.23 & -0.210000000000008 \tabularnewline
68 & 99.8 & 100.02 & -0.219999999999999 \tabularnewline
69 & 99.58 & 99.8 & -0.219999999999999 \tabularnewline
70 & 99.69 & 99.58 & 0.109999999999999 \tabularnewline
71 & 99.53 & 99.69 & -0.159999999999997 \tabularnewline
72 & 99.37 & 99.53 & -0.159999999999997 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13355&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]118.13[/C][C]117.99[/C][C]0.140000000000001[/C][/ROW]
[ROW][C]3[/C][C]117.06[/C][C]118.13[/C][C]-1.06999999999999[/C][/ROW]
[ROW][C]4[/C][C]118.03[/C][C]117.06[/C][C]0.969999999999999[/C][/ROW]
[ROW][C]5[/C][C]118.57[/C][C]118.03[/C][C]0.539999999999992[/C][/ROW]
[ROW][C]6[/C][C]118.44[/C][C]118.57[/C][C]-0.129999999999995[/C][/ROW]
[ROW][C]7[/C][C]118.02[/C][C]118.44[/C][C]-0.420000000000002[/C][/ROW]
[ROW][C]8[/C][C]118.18[/C][C]118.02[/C][C]0.160000000000011[/C][/ROW]
[ROW][C]9[/C][C]116.79[/C][C]118.18[/C][C]-1.39[/C][/ROW]
[ROW][C]10[/C][C]116.91[/C][C]116.79[/C][C]0.119999999999990[/C][/ROW]
[ROW][C]11[/C][C]117.19[/C][C]116.91[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]12[/C][C]117.3[/C][C]117.19[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]13[/C][C]116.35[/C][C]117.3[/C][C]-0.950000000000003[/C][/ROW]
[ROW][C]14[/C][C]117.04[/C][C]116.35[/C][C]0.690000000000012[/C][/ROW]
[ROW][C]15[/C][C]116.26[/C][C]117.04[/C][C]-0.780000000000001[/C][/ROW]
[ROW][C]16[/C][C]115.91[/C][C]116.26[/C][C]-0.350000000000009[/C][/ROW]
[ROW][C]17[/C][C]115.75[/C][C]115.91[/C][C]-0.159999999999997[/C][/ROW]
[ROW][C]18[/C][C]115.21[/C][C]115.75[/C][C]-0.540000000000006[/C][/ROW]
[ROW][C]19[/C][C]115.07[/C][C]115.21[/C][C]-0.140000000000001[/C][/ROW]
[ROW][C]20[/C][C]114.17[/C][C]115.07[/C][C]-0.899999999999991[/C][/ROW]
[ROW][C]21[/C][C]113.96[/C][C]114.17[/C][C]-0.210000000000008[/C][/ROW]
[ROW][C]22[/C][C]113.59[/C][C]113.96[/C][C]-0.36999999999999[/C][/ROW]
[ROW][C]23[/C][C]114.47[/C][C]113.59[/C][C]0.879999999999995[/C][/ROW]
[ROW][C]24[/C][C]113.52[/C][C]114.47[/C][C]-0.950000000000003[/C][/ROW]
[ROW][C]25[/C][C]113.56[/C][C]113.52[/C][C]0.0400000000000063[/C][/ROW]
[ROW][C]26[/C][C]113.59[/C][C]113.56[/C][C]0.0300000000000011[/C][/ROW]
[ROW][C]27[/C][C]113[/C][C]113.59[/C][C]-0.590000000000003[/C][/ROW]
[ROW][C]28[/C][C]112.07[/C][C]113[/C][C]-0.930000000000007[/C][/ROW]
[ROW][C]29[/C][C]111.11[/C][C]112.07[/C][C]-0.959999999999994[/C][/ROW]
[ROW][C]30[/C][C]109.61[/C][C]111.11[/C][C]-1.5[/C][/ROW]
[ROW][C]31[/C][C]109.51[/C][C]109.61[/C][C]-0.0999999999999943[/C][/ROW]
[ROW][C]32[/C][C]109.21[/C][C]109.51[/C][C]-0.300000000000011[/C][/ROW]
[ROW][C]33[/C][C]108.86[/C][C]109.21[/C][C]-0.349999999999994[/C][/ROW]
[ROW][C]34[/C][C]107.99[/C][C]108.86[/C][C]-0.870000000000005[/C][/ROW]
[ROW][C]35[/C][C]108.74[/C][C]107.99[/C][C]0.75[/C][/ROW]
[ROW][C]36[/C][C]108.74[/C][C]108.74[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]107.74[/C][C]108.74[/C][C]-1[/C][/ROW]
[ROW][C]38[/C][C]107.8[/C][C]107.74[/C][C]0.0600000000000023[/C][/ROW]
[ROW][C]39[/C][C]106.96[/C][C]107.8[/C][C]-0.840000000000003[/C][/ROW]
[ROW][C]40[/C][C]106.73[/C][C]106.96[/C][C]-0.229999999999990[/C][/ROW]
[ROW][C]41[/C][C]106.27[/C][C]106.73[/C][C]-0.460000000000008[/C][/ROW]
[ROW][C]42[/C][C]105.69[/C][C]106.27[/C][C]-0.579999999999998[/C][/ROW]
[ROW][C]43[/C][C]105.39[/C][C]105.69[/C][C]-0.299999999999997[/C][/ROW]
[ROW][C]44[/C][C]105.09[/C][C]105.39[/C][C]-0.299999999999997[/C][/ROW]
[ROW][C]45[/C][C]104.94[/C][C]105.09[/C][C]-0.150000000000006[/C][/ROW]
[ROW][C]46[/C][C]104.75[/C][C]104.94[/C][C]-0.189999999999998[/C][/ROW]
[ROW][C]47[/C][C]104.38[/C][C]104.75[/C][C]-0.370000000000005[/C][/ROW]
[ROW][C]48[/C][C]103.65[/C][C]104.38[/C][C]-0.72999999999999[/C][/ROW]
[ROW][C]49[/C][C]103.49[/C][C]103.65[/C][C]-0.160000000000011[/C][/ROW]
[ROW][C]50[/C][C]103.39[/C][C]103.49[/C][C]-0.0999999999999943[/C][/ROW]
[ROW][C]51[/C][C]103.48[/C][C]103.39[/C][C]0.0900000000000034[/C][/ROW]
[ROW][C]52[/C][C]103.33[/C][C]103.48[/C][C]-0.150000000000006[/C][/ROW]
[ROW][C]53[/C][C]103.61[/C][C]103.33[/C][C]0.280000000000001[/C][/ROW]
[ROW][C]54[/C][C]103.21[/C][C]103.61[/C][C]-0.400000000000006[/C][/ROW]
[ROW][C]55[/C][C]102.85[/C][C]103.21[/C][C]-0.359999999999999[/C][/ROW]
[ROW][C]56[/C][C]103.25[/C][C]102.85[/C][C]0.400000000000006[/C][/ROW]
[ROW][C]57[/C][C]102.88[/C][C]103.25[/C][C]-0.370000000000005[/C][/ROW]
[ROW][C]58[/C][C]102.51[/C][C]102.88[/C][C]-0.36999999999999[/C][/ROW]
[ROW][C]59[/C][C]101.99[/C][C]102.51[/C][C]-0.52000000000001[/C][/ROW]
[ROW][C]60[/C][C]101.6[/C][C]101.99[/C][C]-0.390000000000001[/C][/ROW]
[ROW][C]61[/C][C]101.21[/C][C]101.6[/C][C]-0.390000000000001[/C][/ROW]
[ROW][C]62[/C][C]100.74[/C][C]101.21[/C][C]-0.469999999999999[/C][/ROW]
[ROW][C]63[/C][C]100.36[/C][C]100.74[/C][C]-0.379999999999995[/C][/ROW]
[ROW][C]64[/C][C]100.26[/C][C]100.36[/C][C]-0.0999999999999943[/C][/ROW]
[ROW][C]65[/C][C]100.37[/C][C]100.26[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]66[/C][C]100.23[/C][C]100.37[/C][C]-0.140000000000001[/C][/ROW]
[ROW][C]67[/C][C]100.02[/C][C]100.23[/C][C]-0.210000000000008[/C][/ROW]
[ROW][C]68[/C][C]99.8[/C][C]100.02[/C][C]-0.219999999999999[/C][/ROW]
[ROW][C]69[/C][C]99.58[/C][C]99.8[/C][C]-0.219999999999999[/C][/ROW]
[ROW][C]70[/C][C]99.69[/C][C]99.58[/C][C]0.109999999999999[/C][/ROW]
[ROW][C]71[/C][C]99.53[/C][C]99.69[/C][C]-0.159999999999997[/C][/ROW]
[ROW][C]72[/C][C]99.37[/C][C]99.53[/C][C]-0.159999999999997[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13355&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13355&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
2118.13117.990.140000000000001
3117.06118.13-1.06999999999999
4118.03117.060.969999999999999
5118.57118.030.539999999999992
6118.44118.57-0.129999999999995
7118.02118.44-0.420000000000002
8118.18118.020.160000000000011
9116.79118.18-1.39
10116.91116.790.119999999999990
11117.19116.910.280000000000001
12117.3117.190.109999999999999
13116.35117.3-0.950000000000003
14117.04116.350.690000000000012
15116.26117.04-0.780000000000001
16115.91116.26-0.350000000000009
17115.75115.91-0.159999999999997
18115.21115.75-0.540000000000006
19115.07115.21-0.140000000000001
20114.17115.07-0.899999999999991
21113.96114.17-0.210000000000008
22113.59113.96-0.36999999999999
23114.47113.590.879999999999995
24113.52114.47-0.950000000000003
25113.56113.520.0400000000000063
26113.59113.560.0300000000000011
27113113.59-0.590000000000003
28112.07113-0.930000000000007
29111.11112.07-0.959999999999994
30109.61111.11-1.5
31109.51109.61-0.0999999999999943
32109.21109.51-0.300000000000011
33108.86109.21-0.349999999999994
34107.99108.86-0.870000000000005
35108.74107.990.75
36108.74108.740
37107.74108.74-1
38107.8107.740.0600000000000023
39106.96107.8-0.840000000000003
40106.73106.96-0.229999999999990
41106.27106.73-0.460000000000008
42105.69106.27-0.579999999999998
43105.39105.69-0.299999999999997
44105.09105.39-0.299999999999997
45104.94105.09-0.150000000000006
46104.75104.94-0.189999999999998
47104.38104.75-0.370000000000005
48103.65104.38-0.72999999999999
49103.49103.65-0.160000000000011
50103.39103.49-0.0999999999999943
51103.48103.390.0900000000000034
52103.33103.48-0.150000000000006
53103.61103.330.280000000000001
54103.21103.61-0.400000000000006
55102.85103.21-0.359999999999999
56103.25102.850.400000000000006
57102.88103.25-0.370000000000005
58102.51102.88-0.36999999999999
59101.99102.51-0.52000000000001
60101.6101.99-0.390000000000001
61101.21101.6-0.390000000000001
62100.74101.21-0.469999999999999
63100.36100.74-0.379999999999995
64100.26100.36-0.0999999999999943
65100.37100.260.109999999999999
66100.23100.37-0.140000000000001
67100.02100.23-0.210000000000008
6899.8100.02-0.219999999999999
6999.5899.8-0.219999999999999
7099.6999.580.109999999999999
7199.5399.69-0.159999999999997
7299.3799.53-0.159999999999997







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7399.3798.4304652753564100.309534724644
7499.3798.0412972500885100.698702749911
7599.3797.742678121442100.997321878558
7699.3797.4909305507128101.249069449287
7799.3797.2691364884754101.470863511525
7899.3797.0686193289969101.671380671003
7999.3796.8842247704835101.855775229517
8099.3796.712594500177102.027405499823
8199.3796.5513958260692102.188604173931
8299.3796.398930329307102.341069670693
8399.3796.2539158408473102.486084159153
8499.3796.115356242884102.624643757116

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 99.37 & 98.4304652753564 & 100.309534724644 \tabularnewline
74 & 99.37 & 98.0412972500885 & 100.698702749911 \tabularnewline
75 & 99.37 & 97.742678121442 & 100.997321878558 \tabularnewline
76 & 99.37 & 97.4909305507128 & 101.249069449287 \tabularnewline
77 & 99.37 & 97.2691364884754 & 101.470863511525 \tabularnewline
78 & 99.37 & 97.0686193289969 & 101.671380671003 \tabularnewline
79 & 99.37 & 96.8842247704835 & 101.855775229517 \tabularnewline
80 & 99.37 & 96.712594500177 & 102.027405499823 \tabularnewline
81 & 99.37 & 96.5513958260692 & 102.188604173931 \tabularnewline
82 & 99.37 & 96.398930329307 & 102.341069670693 \tabularnewline
83 & 99.37 & 96.2539158408473 & 102.486084159153 \tabularnewline
84 & 99.37 & 96.115356242884 & 102.624643757116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13355&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]99.37[/C][C]98.4304652753564[/C][C]100.309534724644[/C][/ROW]
[ROW][C]74[/C][C]99.37[/C][C]98.0412972500885[/C][C]100.698702749911[/C][/ROW]
[ROW][C]75[/C][C]99.37[/C][C]97.742678121442[/C][C]100.997321878558[/C][/ROW]
[ROW][C]76[/C][C]99.37[/C][C]97.4909305507128[/C][C]101.249069449287[/C][/ROW]
[ROW][C]77[/C][C]99.37[/C][C]97.2691364884754[/C][C]101.470863511525[/C][/ROW]
[ROW][C]78[/C][C]99.37[/C][C]97.0686193289969[/C][C]101.671380671003[/C][/ROW]
[ROW][C]79[/C][C]99.37[/C][C]96.8842247704835[/C][C]101.855775229517[/C][/ROW]
[ROW][C]80[/C][C]99.37[/C][C]96.712594500177[/C][C]102.027405499823[/C][/ROW]
[ROW][C]81[/C][C]99.37[/C][C]96.5513958260692[/C][C]102.188604173931[/C][/ROW]
[ROW][C]82[/C][C]99.37[/C][C]96.398930329307[/C][C]102.341069670693[/C][/ROW]
[ROW][C]83[/C][C]99.37[/C][C]96.2539158408473[/C][C]102.486084159153[/C][/ROW]
[ROW][C]84[/C][C]99.37[/C][C]96.115356242884[/C][C]102.624643757116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13355&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13355&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
7399.3798.4304652753564100.309534724644
7499.3798.0412972500885100.698702749911
7599.3797.742678121442100.997321878558
7699.3797.4909305507128101.249069449287
7799.3797.2691364884754101.470863511525
7899.3797.0686193289969101.671380671003
7999.3796.8842247704835101.855775229517
8099.3796.712594500177102.027405499823
8199.3796.5513958260692102.188604173931
8299.3796.398930329307102.341069670693
8399.3796.2539158408473102.486084159153
8499.3796.115356242884102.624643757116



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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')