Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 18 May 2017 15:36:14 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/May/18/t1495118268e7jo8zjhltjd4nn.htm/, Retrieved Fri, 17 May 2024 07:34:00 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 07:34:00 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
78,46
78,59
81,37
83,61
84,65
84,56
83,85
84,08
85,41
85,75
86,38
88,87
90,37
92,21
95,75
97,29
98,29
99,51
99,04
98,9
100,74
100,3
101,68
101,3
103,13
104,17
105,98
106,25
104,01
101,68
101,93
104,41
105,51
104,71
103,14
102,66
102,68
101,89
101,37
101,16
99,34
99,35
99,88
99,31
99,91
98,39
98,02
98,7
98,01
98,42
98,2
93,5
93,17
93,42
93,13
92,31
92,09
92,62
91,43
89,38
86,21
86,65
88,62
87,3
88,33
88,67
88,23
88,85
90,38
89,65
89,2
87,87




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=&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=&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'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=&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=&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
alpha1
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
381.3778.722.64999999999999
483.6181.52.10999999999999
584.6583.740.909999999999997
684.5684.78-0.220000000000013
783.8584.69-0.840000000000018
884.0883.980.0999999999999943
985.4184.211.19999999999999
1085.7585.540.209999999999994
1186.3885.880.499999999999986
1288.8786.512.36
1390.37891.36999999999999
1492.2190.51.70999999999998
1595.7592.343.41
1697.2995.881.41
1798.2997.420.86999999999999
1899.5198.421.08999999999999
1999.0499.64-0.600000000000009
2098.999.17-0.27000000000001
21100.7499.031.70999999999998
22100.3100.87-0.570000000000007
23101.68100.431.25
24101.3101.81-0.510000000000019
25103.13101.431.69999999999999
26104.17103.260.909999999999997
27105.98104.31.67999999999999
28106.25106.110.139999999999986
29104.01106.38-2.37
30101.68104.14-2.46000000000001
31101.93101.810.11999999999999
32104.41102.062.34999999999998
33105.51104.540.969999999999999
34104.71105.64-0.930000000000021
35103.14104.84-1.7
36102.66103.27-0.610000000000014
37102.68102.79-0.109999999999999
38101.89102.81-0.920000000000016
39101.37102.02-0.650000000000006
40101.16101.5-0.340000000000018
4199.34101.29-1.95
4299.3599.47-0.120000000000019
4399.8899.480.399999999999991
4499.31100.01-0.700000000000003
4599.9199.440.469999999999985
4698.39100.04-1.65000000000001
4798.0298.52-0.500000000000014
4898.798.150.549999999999997
4998.0198.83-0.820000000000007
5098.4298.140.279999999999987
5198.298.55-0.350000000000009
5293.598.33-4.83000000000001
5393.1793.63-0.460000000000008
5493.4293.30.11999999999999
5593.1393.55-0.420000000000016
5692.3193.26-0.950000000000003
5792.0992.44-0.350000000000009
5892.6292.220.399999999999991
5991.4392.75-1.32000000000001
6089.3891.56-2.18000000000002
6186.2189.51-3.30000000000001
6286.6586.340.310000000000002
6388.6286.781.83999999999999
6487.388.75-1.45000000000002
6588.3387.430.899999999999991
6688.6788.460.209999999999994
6788.2388.8-0.570000000000007
6888.8588.360.489999999999981
6990.3888.981.39999999999999
7089.6590.51-0.859999999999999
7189.289.78-0.580000000000013
7287.8789.33-1.46000000000001

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 81.37 & 78.72 & 2.64999999999999 \tabularnewline
4 & 83.61 & 81.5 & 2.10999999999999 \tabularnewline
5 & 84.65 & 83.74 & 0.909999999999997 \tabularnewline
6 & 84.56 & 84.78 & -0.220000000000013 \tabularnewline
7 & 83.85 & 84.69 & -0.840000000000018 \tabularnewline
8 & 84.08 & 83.98 & 0.0999999999999943 \tabularnewline
9 & 85.41 & 84.21 & 1.19999999999999 \tabularnewline
10 & 85.75 & 85.54 & 0.209999999999994 \tabularnewline
11 & 86.38 & 85.88 & 0.499999999999986 \tabularnewline
12 & 88.87 & 86.51 & 2.36 \tabularnewline
13 & 90.37 & 89 & 1.36999999999999 \tabularnewline
14 & 92.21 & 90.5 & 1.70999999999998 \tabularnewline
15 & 95.75 & 92.34 & 3.41 \tabularnewline
16 & 97.29 & 95.88 & 1.41 \tabularnewline
17 & 98.29 & 97.42 & 0.86999999999999 \tabularnewline
18 & 99.51 & 98.42 & 1.08999999999999 \tabularnewline
19 & 99.04 & 99.64 & -0.600000000000009 \tabularnewline
20 & 98.9 & 99.17 & -0.27000000000001 \tabularnewline
21 & 100.74 & 99.03 & 1.70999999999998 \tabularnewline
22 & 100.3 & 100.87 & -0.570000000000007 \tabularnewline
23 & 101.68 & 100.43 & 1.25 \tabularnewline
24 & 101.3 & 101.81 & -0.510000000000019 \tabularnewline
25 & 103.13 & 101.43 & 1.69999999999999 \tabularnewline
26 & 104.17 & 103.26 & 0.909999999999997 \tabularnewline
27 & 105.98 & 104.3 & 1.67999999999999 \tabularnewline
28 & 106.25 & 106.11 & 0.139999999999986 \tabularnewline
29 & 104.01 & 106.38 & -2.37 \tabularnewline
30 & 101.68 & 104.14 & -2.46000000000001 \tabularnewline
31 & 101.93 & 101.81 & 0.11999999999999 \tabularnewline
32 & 104.41 & 102.06 & 2.34999999999998 \tabularnewline
33 & 105.51 & 104.54 & 0.969999999999999 \tabularnewline
34 & 104.71 & 105.64 & -0.930000000000021 \tabularnewline
35 & 103.14 & 104.84 & -1.7 \tabularnewline
36 & 102.66 & 103.27 & -0.610000000000014 \tabularnewline
37 & 102.68 & 102.79 & -0.109999999999999 \tabularnewline
38 & 101.89 & 102.81 & -0.920000000000016 \tabularnewline
39 & 101.37 & 102.02 & -0.650000000000006 \tabularnewline
40 & 101.16 & 101.5 & -0.340000000000018 \tabularnewline
41 & 99.34 & 101.29 & -1.95 \tabularnewline
42 & 99.35 & 99.47 & -0.120000000000019 \tabularnewline
43 & 99.88 & 99.48 & 0.399999999999991 \tabularnewline
44 & 99.31 & 100.01 & -0.700000000000003 \tabularnewline
45 & 99.91 & 99.44 & 0.469999999999985 \tabularnewline
46 & 98.39 & 100.04 & -1.65000000000001 \tabularnewline
47 & 98.02 & 98.52 & -0.500000000000014 \tabularnewline
48 & 98.7 & 98.15 & 0.549999999999997 \tabularnewline
49 & 98.01 & 98.83 & -0.820000000000007 \tabularnewline
50 & 98.42 & 98.14 & 0.279999999999987 \tabularnewline
51 & 98.2 & 98.55 & -0.350000000000009 \tabularnewline
52 & 93.5 & 98.33 & -4.83000000000001 \tabularnewline
53 & 93.17 & 93.63 & -0.460000000000008 \tabularnewline
54 & 93.42 & 93.3 & 0.11999999999999 \tabularnewline
55 & 93.13 & 93.55 & -0.420000000000016 \tabularnewline
56 & 92.31 & 93.26 & -0.950000000000003 \tabularnewline
57 & 92.09 & 92.44 & -0.350000000000009 \tabularnewline
58 & 92.62 & 92.22 & 0.399999999999991 \tabularnewline
59 & 91.43 & 92.75 & -1.32000000000001 \tabularnewline
60 & 89.38 & 91.56 & -2.18000000000002 \tabularnewline
61 & 86.21 & 89.51 & -3.30000000000001 \tabularnewline
62 & 86.65 & 86.34 & 0.310000000000002 \tabularnewline
63 & 88.62 & 86.78 & 1.83999999999999 \tabularnewline
64 & 87.3 & 88.75 & -1.45000000000002 \tabularnewline
65 & 88.33 & 87.43 & 0.899999999999991 \tabularnewline
66 & 88.67 & 88.46 & 0.209999999999994 \tabularnewline
67 & 88.23 & 88.8 & -0.570000000000007 \tabularnewline
68 & 88.85 & 88.36 & 0.489999999999981 \tabularnewline
69 & 90.38 & 88.98 & 1.39999999999999 \tabularnewline
70 & 89.65 & 90.51 & -0.859999999999999 \tabularnewline
71 & 89.2 & 89.78 & -0.580000000000013 \tabularnewline
72 & 87.87 & 89.33 & -1.46000000000001 \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]3[/C][C]81.37[/C][C]78.72[/C][C]2.64999999999999[/C][/ROW]
[ROW][C]4[/C][C]83.61[/C][C]81.5[/C][C]2.10999999999999[/C][/ROW]
[ROW][C]5[/C][C]84.65[/C][C]83.74[/C][C]0.909999999999997[/C][/ROW]
[ROW][C]6[/C][C]84.56[/C][C]84.78[/C][C]-0.220000000000013[/C][/ROW]
[ROW][C]7[/C][C]83.85[/C][C]84.69[/C][C]-0.840000000000018[/C][/ROW]
[ROW][C]8[/C][C]84.08[/C][C]83.98[/C][C]0.0999999999999943[/C][/ROW]
[ROW][C]9[/C][C]85.41[/C][C]84.21[/C][C]1.19999999999999[/C][/ROW]
[ROW][C]10[/C][C]85.75[/C][C]85.54[/C][C]0.209999999999994[/C][/ROW]
[ROW][C]11[/C][C]86.38[/C][C]85.88[/C][C]0.499999999999986[/C][/ROW]
[ROW][C]12[/C][C]88.87[/C][C]86.51[/C][C]2.36[/C][/ROW]
[ROW][C]13[/C][C]90.37[/C][C]89[/C][C]1.36999999999999[/C][/ROW]
[ROW][C]14[/C][C]92.21[/C][C]90.5[/C][C]1.70999999999998[/C][/ROW]
[ROW][C]15[/C][C]95.75[/C][C]92.34[/C][C]3.41[/C][/ROW]
[ROW][C]16[/C][C]97.29[/C][C]95.88[/C][C]1.41[/C][/ROW]
[ROW][C]17[/C][C]98.29[/C][C]97.42[/C][C]0.86999999999999[/C][/ROW]
[ROW][C]18[/C][C]99.51[/C][C]98.42[/C][C]1.08999999999999[/C][/ROW]
[ROW][C]19[/C][C]99.04[/C][C]99.64[/C][C]-0.600000000000009[/C][/ROW]
[ROW][C]20[/C][C]98.9[/C][C]99.17[/C][C]-0.27000000000001[/C][/ROW]
[ROW][C]21[/C][C]100.74[/C][C]99.03[/C][C]1.70999999999998[/C][/ROW]
[ROW][C]22[/C][C]100.3[/C][C]100.87[/C][C]-0.570000000000007[/C][/ROW]
[ROW][C]23[/C][C]101.68[/C][C]100.43[/C][C]1.25[/C][/ROW]
[ROW][C]24[/C][C]101.3[/C][C]101.81[/C][C]-0.510000000000019[/C][/ROW]
[ROW][C]25[/C][C]103.13[/C][C]101.43[/C][C]1.69999999999999[/C][/ROW]
[ROW][C]26[/C][C]104.17[/C][C]103.26[/C][C]0.909999999999997[/C][/ROW]
[ROW][C]27[/C][C]105.98[/C][C]104.3[/C][C]1.67999999999999[/C][/ROW]
[ROW][C]28[/C][C]106.25[/C][C]106.11[/C][C]0.139999999999986[/C][/ROW]
[ROW][C]29[/C][C]104.01[/C][C]106.38[/C][C]-2.37[/C][/ROW]
[ROW][C]30[/C][C]101.68[/C][C]104.14[/C][C]-2.46000000000001[/C][/ROW]
[ROW][C]31[/C][C]101.93[/C][C]101.81[/C][C]0.11999999999999[/C][/ROW]
[ROW][C]32[/C][C]104.41[/C][C]102.06[/C][C]2.34999999999998[/C][/ROW]
[ROW][C]33[/C][C]105.51[/C][C]104.54[/C][C]0.969999999999999[/C][/ROW]
[ROW][C]34[/C][C]104.71[/C][C]105.64[/C][C]-0.930000000000021[/C][/ROW]
[ROW][C]35[/C][C]103.14[/C][C]104.84[/C][C]-1.7[/C][/ROW]
[ROW][C]36[/C][C]102.66[/C][C]103.27[/C][C]-0.610000000000014[/C][/ROW]
[ROW][C]37[/C][C]102.68[/C][C]102.79[/C][C]-0.109999999999999[/C][/ROW]
[ROW][C]38[/C][C]101.89[/C][C]102.81[/C][C]-0.920000000000016[/C][/ROW]
[ROW][C]39[/C][C]101.37[/C][C]102.02[/C][C]-0.650000000000006[/C][/ROW]
[ROW][C]40[/C][C]101.16[/C][C]101.5[/C][C]-0.340000000000018[/C][/ROW]
[ROW][C]41[/C][C]99.34[/C][C]101.29[/C][C]-1.95[/C][/ROW]
[ROW][C]42[/C][C]99.35[/C][C]99.47[/C][C]-0.120000000000019[/C][/ROW]
[ROW][C]43[/C][C]99.88[/C][C]99.48[/C][C]0.399999999999991[/C][/ROW]
[ROW][C]44[/C][C]99.31[/C][C]100.01[/C][C]-0.700000000000003[/C][/ROW]
[ROW][C]45[/C][C]99.91[/C][C]99.44[/C][C]0.469999999999985[/C][/ROW]
[ROW][C]46[/C][C]98.39[/C][C]100.04[/C][C]-1.65000000000001[/C][/ROW]
[ROW][C]47[/C][C]98.02[/C][C]98.52[/C][C]-0.500000000000014[/C][/ROW]
[ROW][C]48[/C][C]98.7[/C][C]98.15[/C][C]0.549999999999997[/C][/ROW]
[ROW][C]49[/C][C]98.01[/C][C]98.83[/C][C]-0.820000000000007[/C][/ROW]
[ROW][C]50[/C][C]98.42[/C][C]98.14[/C][C]0.279999999999987[/C][/ROW]
[ROW][C]51[/C][C]98.2[/C][C]98.55[/C][C]-0.350000000000009[/C][/ROW]
[ROW][C]52[/C][C]93.5[/C][C]98.33[/C][C]-4.83000000000001[/C][/ROW]
[ROW][C]53[/C][C]93.17[/C][C]93.63[/C][C]-0.460000000000008[/C][/ROW]
[ROW][C]54[/C][C]93.42[/C][C]93.3[/C][C]0.11999999999999[/C][/ROW]
[ROW][C]55[/C][C]93.13[/C][C]93.55[/C][C]-0.420000000000016[/C][/ROW]
[ROW][C]56[/C][C]92.31[/C][C]93.26[/C][C]-0.950000000000003[/C][/ROW]
[ROW][C]57[/C][C]92.09[/C][C]92.44[/C][C]-0.350000000000009[/C][/ROW]
[ROW][C]58[/C][C]92.62[/C][C]92.22[/C][C]0.399999999999991[/C][/ROW]
[ROW][C]59[/C][C]91.43[/C][C]92.75[/C][C]-1.32000000000001[/C][/ROW]
[ROW][C]60[/C][C]89.38[/C][C]91.56[/C][C]-2.18000000000002[/C][/ROW]
[ROW][C]61[/C][C]86.21[/C][C]89.51[/C][C]-3.30000000000001[/C][/ROW]
[ROW][C]62[/C][C]86.65[/C][C]86.34[/C][C]0.310000000000002[/C][/ROW]
[ROW][C]63[/C][C]88.62[/C][C]86.78[/C][C]1.83999999999999[/C][/ROW]
[ROW][C]64[/C][C]87.3[/C][C]88.75[/C][C]-1.45000000000002[/C][/ROW]
[ROW][C]65[/C][C]88.33[/C][C]87.43[/C][C]0.899999999999991[/C][/ROW]
[ROW][C]66[/C][C]88.67[/C][C]88.46[/C][C]0.209999999999994[/C][/ROW]
[ROW][C]67[/C][C]88.23[/C][C]88.8[/C][C]-0.570000000000007[/C][/ROW]
[ROW][C]68[/C][C]88.85[/C][C]88.36[/C][C]0.489999999999981[/C][/ROW]
[ROW][C]69[/C][C]90.38[/C][C]88.98[/C][C]1.39999999999999[/C][/ROW]
[ROW][C]70[/C][C]89.65[/C][C]90.51[/C][C]-0.859999999999999[/C][/ROW]
[ROW][C]71[/C][C]89.2[/C][C]89.78[/C][C]-0.580000000000013[/C][/ROW]
[ROW][C]72[/C][C]87.87[/C][C]89.33[/C][C]-1.46000000000001[/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
381.3778.722.64999999999999
483.6181.52.10999999999999
584.6583.740.909999999999997
684.5684.78-0.220000000000013
783.8584.69-0.840000000000018
884.0883.980.0999999999999943
985.4184.211.19999999999999
1085.7585.540.209999999999994
1186.3885.880.499999999999986
1288.8786.512.36
1390.37891.36999999999999
1492.2190.51.70999999999998
1595.7592.343.41
1697.2995.881.41
1798.2997.420.86999999999999
1899.5198.421.08999999999999
1999.0499.64-0.600000000000009
2098.999.17-0.27000000000001
21100.7499.031.70999999999998
22100.3100.87-0.570000000000007
23101.68100.431.25
24101.3101.81-0.510000000000019
25103.13101.431.69999999999999
26104.17103.260.909999999999997
27105.98104.31.67999999999999
28106.25106.110.139999999999986
29104.01106.38-2.37
30101.68104.14-2.46000000000001
31101.93101.810.11999999999999
32104.41102.062.34999999999998
33105.51104.540.969999999999999
34104.71105.64-0.930000000000021
35103.14104.84-1.7
36102.66103.27-0.610000000000014
37102.68102.79-0.109999999999999
38101.89102.81-0.920000000000016
39101.37102.02-0.650000000000006
40101.16101.5-0.340000000000018
4199.34101.29-1.95
4299.3599.47-0.120000000000019
4399.8899.480.399999999999991
4499.31100.01-0.700000000000003
4599.9199.440.469999999999985
4698.39100.04-1.65000000000001
4798.0298.52-0.500000000000014
4898.798.150.549999999999997
4998.0198.83-0.820000000000007
5098.4298.140.279999999999987
5198.298.55-0.350000000000009
5293.598.33-4.83000000000001
5393.1793.63-0.460000000000008
5493.4293.30.11999999999999
5593.1393.55-0.420000000000016
5692.3193.26-0.950000000000003
5792.0992.44-0.350000000000009
5892.6292.220.399999999999991
5991.4392.75-1.32000000000001
6089.3891.56-2.18000000000002
6186.2189.51-3.30000000000001
6286.6586.340.310000000000002
6388.6286.781.83999999999999
6487.388.75-1.45000000000002
6588.3387.430.899999999999991
6688.6788.460.209999999999994
6788.2388.8-0.570000000000007
6888.8588.360.489999999999981
6990.3888.981.39999999999999
7089.6590.51-0.859999999999999
7189.289.78-0.580000000000013
7287.8789.33-1.46000000000001







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
738885.210425992451890.7895740075483
7488.1384.184946605281892.0750533947182
7588.2683.428316087452993.0916839125471
7688.3982.810851984903593.9691480150966
7788.520000000000182.282322890855694.7576771091445
7888.650000000000181.81696708177695.4830329182241
7988.780000000000181.399480912217696.1605190877826
8088.910000000000181.019893210563796.8001067894365
8189.040000000000180.671277977355397.4087220226449
8289.170000000000180.348592434543997.9914075654563
8389.300000000000180.048029692034598.5519703079657
8489.430000000000179.766632174905999.0933678250943

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 88 & 85.2104259924518 & 90.7895740075483 \tabularnewline
74 & 88.13 & 84.1849466052818 & 92.0750533947182 \tabularnewline
75 & 88.26 & 83.4283160874529 & 93.0916839125471 \tabularnewline
76 & 88.39 & 82.8108519849035 & 93.9691480150966 \tabularnewline
77 & 88.5200000000001 & 82.2823228908556 & 94.7576771091445 \tabularnewline
78 & 88.6500000000001 & 81.816967081776 & 95.4830329182241 \tabularnewline
79 & 88.7800000000001 & 81.3994809122176 & 96.1605190877826 \tabularnewline
80 & 88.9100000000001 & 81.0198932105637 & 96.8001067894365 \tabularnewline
81 & 89.0400000000001 & 80.6712779773553 & 97.4087220226449 \tabularnewline
82 & 89.1700000000001 & 80.3485924345439 & 97.9914075654563 \tabularnewline
83 & 89.3000000000001 & 80.0480296920345 & 98.5519703079657 \tabularnewline
84 & 89.4300000000001 & 79.7666321749059 & 99.0933678250943 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]73[/C][C]88[/C][C]85.2104259924518[/C][C]90.7895740075483[/C][/ROW]
[ROW][C]74[/C][C]88.13[/C][C]84.1849466052818[/C][C]92.0750533947182[/C][/ROW]
[ROW][C]75[/C][C]88.26[/C][C]83.4283160874529[/C][C]93.0916839125471[/C][/ROW]
[ROW][C]76[/C][C]88.39[/C][C]82.8108519849035[/C][C]93.9691480150966[/C][/ROW]
[ROW][C]77[/C][C]88.5200000000001[/C][C]82.2823228908556[/C][C]94.7576771091445[/C][/ROW]
[ROW][C]78[/C][C]88.6500000000001[/C][C]81.816967081776[/C][C]95.4830329182241[/C][/ROW]
[ROW][C]79[/C][C]88.7800000000001[/C][C]81.3994809122176[/C][C]96.1605190877826[/C][/ROW]
[ROW][C]80[/C][C]88.9100000000001[/C][C]81.0198932105637[/C][C]96.8001067894365[/C][/ROW]
[ROW][C]81[/C][C]89.0400000000001[/C][C]80.6712779773553[/C][C]97.4087220226449[/C][/ROW]
[ROW][C]82[/C][C]89.1700000000001[/C][C]80.3485924345439[/C][C]97.9914075654563[/C][/ROW]
[ROW][C]83[/C][C]89.3000000000001[/C][C]80.0480296920345[/C][C]98.5519703079657[/C][/ROW]
[ROW][C]84[/C][C]89.4300000000001[/C][C]79.7666321749059[/C][C]99.0933678250943[/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
738885.210425992451890.7895740075483
7488.1384.184946605281892.0750533947182
7588.2683.428316087452993.0916839125471
7688.3982.810851984903593.9691480150966
7788.520000000000182.282322890855694.7576771091445
7888.650000000000181.81696708177695.4830329182241
7988.780000000000181.399480912217696.1605190877826
8088.910000000000181.019893210563796.8001067894365
8189.040000000000180.671277977355397.4087220226449
8289.170000000000180.348592434543997.9914075654563
8389.300000000000180.048029692034598.5519703079657
8489.430000000000179.766632174905999.0933678250943



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