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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 12 May 2012 13:32:03 -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/12/t1336843970k8gxcz8asyp64p3.htm/, Retrieved Sun, 05 May 2024 10:32:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166427, Retrieved Sun, 05 May 2024 10:32:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Additief Single e...] [2012-05-12 17:32:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
62.11
62.15
62.2
62.22
62.02
62.02
62.02
62.07
62.31
62.71
62.77
62.82
62.82
62.82
62.55
62.6
62.47
62.47
62.47
62.72
63.13
64.09
64.31
64.29
64.29
64.29
64.35
64.42
64.24
64.23
64.23
64.2
65.35
65.83
66.15
66.19
66.19
66.56
66.59
66.48
66.4
66.4
66.4
66.49
66.65
67.69
67.91
68.14
68.14
68.16
67.94
68
68.1
68.12
68.12
68.24
68.42
68.97
69.13
69.2




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=166427&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=166427&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166427&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
alpha0.999943005425893
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999943005425893 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166427&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]0.999943005425893[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166427&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166427&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
alpha0.999943005425893
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
262.1562.110.0399999999999991
362.262.1499977202170.0500022797829658
462.2262.19999715014140.0200028498586349
562.0262.2199988599461-0.199998859946085
662.0262.0200113988498-1.1398849842692e-05
762.0262.0200000006497-6.49670539587532e-10
862.0762.020.0499999999999616
962.3162.06999715027130.240002849728704
1062.7162.30998632113980.400013678860205
1162.7762.70997720139070.0600227986092676
1262.8262.76999657902620.0500034209738374
1362.8262.81999715007632.84992368193571e-06
1462.8262.81999999983761.62430069394759e-10
1562.5562.82-0.269999999999996
1662.662.5500153885350.0499846114649927
1762.4762.5999971511484-0.129997151148359
1862.4762.4700074091323-7.4091322659342e-06
1962.4762.4700000004223-4.22282653289585e-10
2062.7262.470.249999999999979
2163.1362.71998575135650.410014248643527
2264.0963.12997663141250.960023368587478
2364.3164.0899452838770.22005471612303
2464.2964.3099874580752-0.019987458075164
2564.2964.2900011391767-1.13917666055841e-06
2664.2964.2900000000649-6.4929395193758e-11
2764.3564.290.0599999999999881
2864.4264.34999658032560.0700034196744497
2964.2464.4199960101849-0.179996010184922
3064.2364.2400102587959-0.0100102587959299
3164.2364.2300005705304-5.7053043178712e-07
3264.264.2300000000325-0.0300000000325156
3365.3564.20000170983721.14999829016277
3465.8365.34993445633720.480065543662775
3566.1565.82997263886880.32002736113121
3666.1966.14998176017690.0400182398231408
3766.1966.18999771917752.28082252817785e-06
3866.5666.189999999870.370000000130005
3966.5966.55997891200760.0300210879924236
4066.4866.5899982889609-0.109998288960881
4166.466.4800062693056-0.0800062693056276
4266.466.4000045599232-4.5599232407767e-06
4366.466.4000000002599-2.59888111031614e-10
4466.4966.40.089999999999975
4566.6566.48999487048830.160005129511674
4667.6966.64999088057581.0400091194242
4767.9167.68994072512320.220059274876832
4868.1467.90998745781530.230012542184653
4968.1468.13998689053311.31094668773812e-05
5068.1668.13999999925280.0200000007471601
5167.9468.1599988601085-0.219998860108475
526867.94001253874130.0599874612586717
5368.167.99999658104020.100003418959801
5468.1268.09999430034770.0200056996522875
5568.1268.11999885978371.14021632668937e-06
5668.2468.1199999999350.120000000064977
5768.4268.23999316065110.180006839348906
5868.9768.41998974058690.550010259413142
5969.1368.96996865239950.16003134760048
6069.269.12999087908150.0700091209185132

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 62.15 & 62.11 & 0.0399999999999991 \tabularnewline
3 & 62.2 & 62.149997720217 & 0.0500022797829658 \tabularnewline
4 & 62.22 & 62.1999971501414 & 0.0200028498586349 \tabularnewline
5 & 62.02 & 62.2199988599461 & -0.199998859946085 \tabularnewline
6 & 62.02 & 62.0200113988498 & -1.1398849842692e-05 \tabularnewline
7 & 62.02 & 62.0200000006497 & -6.49670539587532e-10 \tabularnewline
8 & 62.07 & 62.02 & 0.0499999999999616 \tabularnewline
9 & 62.31 & 62.0699971502713 & 0.240002849728704 \tabularnewline
10 & 62.71 & 62.3099863211398 & 0.400013678860205 \tabularnewline
11 & 62.77 & 62.7099772013907 & 0.0600227986092676 \tabularnewline
12 & 62.82 & 62.7699965790262 & 0.0500034209738374 \tabularnewline
13 & 62.82 & 62.8199971500763 & 2.84992368193571e-06 \tabularnewline
14 & 62.82 & 62.8199999998376 & 1.62430069394759e-10 \tabularnewline
15 & 62.55 & 62.82 & -0.269999999999996 \tabularnewline
16 & 62.6 & 62.550015388535 & 0.0499846114649927 \tabularnewline
17 & 62.47 & 62.5999971511484 & -0.129997151148359 \tabularnewline
18 & 62.47 & 62.4700074091323 & -7.4091322659342e-06 \tabularnewline
19 & 62.47 & 62.4700000004223 & -4.22282653289585e-10 \tabularnewline
20 & 62.72 & 62.47 & 0.249999999999979 \tabularnewline
21 & 63.13 & 62.7199857513565 & 0.410014248643527 \tabularnewline
22 & 64.09 & 63.1299766314125 & 0.960023368587478 \tabularnewline
23 & 64.31 & 64.089945283877 & 0.22005471612303 \tabularnewline
24 & 64.29 & 64.3099874580752 & -0.019987458075164 \tabularnewline
25 & 64.29 & 64.2900011391767 & -1.13917666055841e-06 \tabularnewline
26 & 64.29 & 64.2900000000649 & -6.4929395193758e-11 \tabularnewline
27 & 64.35 & 64.29 & 0.0599999999999881 \tabularnewline
28 & 64.42 & 64.3499965803256 & 0.0700034196744497 \tabularnewline
29 & 64.24 & 64.4199960101849 & -0.179996010184922 \tabularnewline
30 & 64.23 & 64.2400102587959 & -0.0100102587959299 \tabularnewline
31 & 64.23 & 64.2300005705304 & -5.7053043178712e-07 \tabularnewline
32 & 64.2 & 64.2300000000325 & -0.0300000000325156 \tabularnewline
33 & 65.35 & 64.2000017098372 & 1.14999829016277 \tabularnewline
34 & 65.83 & 65.3499344563372 & 0.480065543662775 \tabularnewline
35 & 66.15 & 65.8299726388688 & 0.32002736113121 \tabularnewline
36 & 66.19 & 66.1499817601769 & 0.0400182398231408 \tabularnewline
37 & 66.19 & 66.1899977191775 & 2.28082252817785e-06 \tabularnewline
38 & 66.56 & 66.18999999987 & 0.370000000130005 \tabularnewline
39 & 66.59 & 66.5599789120076 & 0.0300210879924236 \tabularnewline
40 & 66.48 & 66.5899982889609 & -0.109998288960881 \tabularnewline
41 & 66.4 & 66.4800062693056 & -0.0800062693056276 \tabularnewline
42 & 66.4 & 66.4000045599232 & -4.5599232407767e-06 \tabularnewline
43 & 66.4 & 66.4000000002599 & -2.59888111031614e-10 \tabularnewline
44 & 66.49 & 66.4 & 0.089999999999975 \tabularnewline
45 & 66.65 & 66.4899948704883 & 0.160005129511674 \tabularnewline
46 & 67.69 & 66.6499908805758 & 1.0400091194242 \tabularnewline
47 & 67.91 & 67.6899407251232 & 0.220059274876832 \tabularnewline
48 & 68.14 & 67.9099874578153 & 0.230012542184653 \tabularnewline
49 & 68.14 & 68.1399868905331 & 1.31094668773812e-05 \tabularnewline
50 & 68.16 & 68.1399999992528 & 0.0200000007471601 \tabularnewline
51 & 67.94 & 68.1599988601085 & -0.219998860108475 \tabularnewline
52 & 68 & 67.9400125387413 & 0.0599874612586717 \tabularnewline
53 & 68.1 & 67.9999965810402 & 0.100003418959801 \tabularnewline
54 & 68.12 & 68.0999943003477 & 0.0200056996522875 \tabularnewline
55 & 68.12 & 68.1199988597837 & 1.14021632668937e-06 \tabularnewline
56 & 68.24 & 68.119999999935 & 0.120000000064977 \tabularnewline
57 & 68.42 & 68.2399931606511 & 0.180006839348906 \tabularnewline
58 & 68.97 & 68.4199897405869 & 0.550010259413142 \tabularnewline
59 & 69.13 & 68.9699686523995 & 0.16003134760048 \tabularnewline
60 & 69.2 & 69.1299908790815 & 0.0700091209185132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166427&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]62.15[/C][C]62.11[/C][C]0.0399999999999991[/C][/ROW]
[ROW][C]3[/C][C]62.2[/C][C]62.149997720217[/C][C]0.0500022797829658[/C][/ROW]
[ROW][C]4[/C][C]62.22[/C][C]62.1999971501414[/C][C]0.0200028498586349[/C][/ROW]
[ROW][C]5[/C][C]62.02[/C][C]62.2199988599461[/C][C]-0.199998859946085[/C][/ROW]
[ROW][C]6[/C][C]62.02[/C][C]62.0200113988498[/C][C]-1.1398849842692e-05[/C][/ROW]
[ROW][C]7[/C][C]62.02[/C][C]62.0200000006497[/C][C]-6.49670539587532e-10[/C][/ROW]
[ROW][C]8[/C][C]62.07[/C][C]62.02[/C][C]0.0499999999999616[/C][/ROW]
[ROW][C]9[/C][C]62.31[/C][C]62.0699971502713[/C][C]0.240002849728704[/C][/ROW]
[ROW][C]10[/C][C]62.71[/C][C]62.3099863211398[/C][C]0.400013678860205[/C][/ROW]
[ROW][C]11[/C][C]62.77[/C][C]62.7099772013907[/C][C]0.0600227986092676[/C][/ROW]
[ROW][C]12[/C][C]62.82[/C][C]62.7699965790262[/C][C]0.0500034209738374[/C][/ROW]
[ROW][C]13[/C][C]62.82[/C][C]62.8199971500763[/C][C]2.84992368193571e-06[/C][/ROW]
[ROW][C]14[/C][C]62.82[/C][C]62.8199999998376[/C][C]1.62430069394759e-10[/C][/ROW]
[ROW][C]15[/C][C]62.55[/C][C]62.82[/C][C]-0.269999999999996[/C][/ROW]
[ROW][C]16[/C][C]62.6[/C][C]62.550015388535[/C][C]0.0499846114649927[/C][/ROW]
[ROW][C]17[/C][C]62.47[/C][C]62.5999971511484[/C][C]-0.129997151148359[/C][/ROW]
[ROW][C]18[/C][C]62.47[/C][C]62.4700074091323[/C][C]-7.4091322659342e-06[/C][/ROW]
[ROW][C]19[/C][C]62.47[/C][C]62.4700000004223[/C][C]-4.22282653289585e-10[/C][/ROW]
[ROW][C]20[/C][C]62.72[/C][C]62.47[/C][C]0.249999999999979[/C][/ROW]
[ROW][C]21[/C][C]63.13[/C][C]62.7199857513565[/C][C]0.410014248643527[/C][/ROW]
[ROW][C]22[/C][C]64.09[/C][C]63.1299766314125[/C][C]0.960023368587478[/C][/ROW]
[ROW][C]23[/C][C]64.31[/C][C]64.089945283877[/C][C]0.22005471612303[/C][/ROW]
[ROW][C]24[/C][C]64.29[/C][C]64.3099874580752[/C][C]-0.019987458075164[/C][/ROW]
[ROW][C]25[/C][C]64.29[/C][C]64.2900011391767[/C][C]-1.13917666055841e-06[/C][/ROW]
[ROW][C]26[/C][C]64.29[/C][C]64.2900000000649[/C][C]-6.4929395193758e-11[/C][/ROW]
[ROW][C]27[/C][C]64.35[/C][C]64.29[/C][C]0.0599999999999881[/C][/ROW]
[ROW][C]28[/C][C]64.42[/C][C]64.3499965803256[/C][C]0.0700034196744497[/C][/ROW]
[ROW][C]29[/C][C]64.24[/C][C]64.4199960101849[/C][C]-0.179996010184922[/C][/ROW]
[ROW][C]30[/C][C]64.23[/C][C]64.2400102587959[/C][C]-0.0100102587959299[/C][/ROW]
[ROW][C]31[/C][C]64.23[/C][C]64.2300005705304[/C][C]-5.7053043178712e-07[/C][/ROW]
[ROW][C]32[/C][C]64.2[/C][C]64.2300000000325[/C][C]-0.0300000000325156[/C][/ROW]
[ROW][C]33[/C][C]65.35[/C][C]64.2000017098372[/C][C]1.14999829016277[/C][/ROW]
[ROW][C]34[/C][C]65.83[/C][C]65.3499344563372[/C][C]0.480065543662775[/C][/ROW]
[ROW][C]35[/C][C]66.15[/C][C]65.8299726388688[/C][C]0.32002736113121[/C][/ROW]
[ROW][C]36[/C][C]66.19[/C][C]66.1499817601769[/C][C]0.0400182398231408[/C][/ROW]
[ROW][C]37[/C][C]66.19[/C][C]66.1899977191775[/C][C]2.28082252817785e-06[/C][/ROW]
[ROW][C]38[/C][C]66.56[/C][C]66.18999999987[/C][C]0.370000000130005[/C][/ROW]
[ROW][C]39[/C][C]66.59[/C][C]66.5599789120076[/C][C]0.0300210879924236[/C][/ROW]
[ROW][C]40[/C][C]66.48[/C][C]66.5899982889609[/C][C]-0.109998288960881[/C][/ROW]
[ROW][C]41[/C][C]66.4[/C][C]66.4800062693056[/C][C]-0.0800062693056276[/C][/ROW]
[ROW][C]42[/C][C]66.4[/C][C]66.4000045599232[/C][C]-4.5599232407767e-06[/C][/ROW]
[ROW][C]43[/C][C]66.4[/C][C]66.4000000002599[/C][C]-2.59888111031614e-10[/C][/ROW]
[ROW][C]44[/C][C]66.49[/C][C]66.4[/C][C]0.089999999999975[/C][/ROW]
[ROW][C]45[/C][C]66.65[/C][C]66.4899948704883[/C][C]0.160005129511674[/C][/ROW]
[ROW][C]46[/C][C]67.69[/C][C]66.6499908805758[/C][C]1.0400091194242[/C][/ROW]
[ROW][C]47[/C][C]67.91[/C][C]67.6899407251232[/C][C]0.220059274876832[/C][/ROW]
[ROW][C]48[/C][C]68.14[/C][C]67.9099874578153[/C][C]0.230012542184653[/C][/ROW]
[ROW][C]49[/C][C]68.14[/C][C]68.1399868905331[/C][C]1.31094668773812e-05[/C][/ROW]
[ROW][C]50[/C][C]68.16[/C][C]68.1399999992528[/C][C]0.0200000007471601[/C][/ROW]
[ROW][C]51[/C][C]67.94[/C][C]68.1599988601085[/C][C]-0.219998860108475[/C][/ROW]
[ROW][C]52[/C][C]68[/C][C]67.9400125387413[/C][C]0.0599874612586717[/C][/ROW]
[ROW][C]53[/C][C]68.1[/C][C]67.9999965810402[/C][C]0.100003418959801[/C][/ROW]
[ROW][C]54[/C][C]68.12[/C][C]68.0999943003477[/C][C]0.0200056996522875[/C][/ROW]
[ROW][C]55[/C][C]68.12[/C][C]68.1199988597837[/C][C]1.14021632668937e-06[/C][/ROW]
[ROW][C]56[/C][C]68.24[/C][C]68.119999999935[/C][C]0.120000000064977[/C][/ROW]
[ROW][C]57[/C][C]68.42[/C][C]68.2399931606511[/C][C]0.180006839348906[/C][/ROW]
[ROW][C]58[/C][C]68.97[/C][C]68.4199897405869[/C][C]0.550010259413142[/C][/ROW]
[ROW][C]59[/C][C]69.13[/C][C]68.9699686523995[/C][C]0.16003134760048[/C][/ROW]
[ROW][C]60[/C][C]69.2[/C][C]69.1299908790815[/C][C]0.0700091209185132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166427&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166427&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
262.1562.110.0399999999999991
362.262.1499977202170.0500022797829658
462.2262.19999715014140.0200028498586349
562.0262.2199988599461-0.199998859946085
662.0262.0200113988498-1.1398849842692e-05
762.0262.0200000006497-6.49670539587532e-10
862.0762.020.0499999999999616
962.3162.06999715027130.240002849728704
1062.7162.30998632113980.400013678860205
1162.7762.70997720139070.0600227986092676
1262.8262.76999657902620.0500034209738374
1362.8262.81999715007632.84992368193571e-06
1462.8262.81999999983761.62430069394759e-10
1562.5562.82-0.269999999999996
1662.662.5500153885350.0499846114649927
1762.4762.5999971511484-0.129997151148359
1862.4762.4700074091323-7.4091322659342e-06
1962.4762.4700000004223-4.22282653289585e-10
2062.7262.470.249999999999979
2163.1362.71998575135650.410014248643527
2264.0963.12997663141250.960023368587478
2364.3164.0899452838770.22005471612303
2464.2964.3099874580752-0.019987458075164
2564.2964.2900011391767-1.13917666055841e-06
2664.2964.2900000000649-6.4929395193758e-11
2764.3564.290.0599999999999881
2864.4264.34999658032560.0700034196744497
2964.2464.4199960101849-0.179996010184922
3064.2364.2400102587959-0.0100102587959299
3164.2364.2300005705304-5.7053043178712e-07
3264.264.2300000000325-0.0300000000325156
3365.3564.20000170983721.14999829016277
3465.8365.34993445633720.480065543662775
3566.1565.82997263886880.32002736113121
3666.1966.14998176017690.0400182398231408
3766.1966.18999771917752.28082252817785e-06
3866.5666.189999999870.370000000130005
3966.5966.55997891200760.0300210879924236
4066.4866.5899982889609-0.109998288960881
4166.466.4800062693056-0.0800062693056276
4266.466.4000045599232-4.5599232407767e-06
4366.466.4000000002599-2.59888111031614e-10
4466.4966.40.089999999999975
4566.6566.48999487048830.160005129511674
4667.6966.64999088057581.0400091194242
4767.9167.68994072512320.220059274876832
4868.1467.90998745781530.230012542184653
4968.1468.13998689053311.31094668773812e-05
5068.1668.13999999925280.0200000007471601
5167.9468.1599988601085-0.219998860108475
526867.94001253874130.0599874612586717
5368.167.99999658104020.100003418959801
5468.1268.09999430034770.0200056996522875
5568.1268.11999885978371.14021632668937e-06
5668.2468.1199999999350.120000000064977
5768.4268.23999316065110.180006839348906
5868.9768.41998974058690.550010259413142
5969.1368.96996865239950.16003134760048
6069.269.12999087908150.0700091209185132







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
6169.1999960098668.670915208318569.7290768114014
6269.1999960098668.451784087042669.9482079326774
6369.1999960098668.283635999638870.1163560200811
6469.1999960098668.141879638557270.2581123811627
6569.1999960098668.016989314145570.3830027055744
6669.1999960098667.904079566183370.4959124535366
6769.1999960098667.800248169755270.5997438499648
6869.1999960098667.703604148493370.6963878712266
6969.1999960098667.612834017607570.7871580021124
7069.1999960098667.526981432357170.8730105873628
7169.1999960098667.445324427077870.9546675926422
7269.1999960098667.367302104618371.0326899151016

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 69.19999600986 & 68.6709152083185 & 69.7290768114014 \tabularnewline
62 & 69.19999600986 & 68.4517840870426 & 69.9482079326774 \tabularnewline
63 & 69.19999600986 & 68.2836359996388 & 70.1163560200811 \tabularnewline
64 & 69.19999600986 & 68.1418796385572 & 70.2581123811627 \tabularnewline
65 & 69.19999600986 & 68.0169893141455 & 70.3830027055744 \tabularnewline
66 & 69.19999600986 & 67.9040795661833 & 70.4959124535366 \tabularnewline
67 & 69.19999600986 & 67.8002481697552 & 70.5997438499648 \tabularnewline
68 & 69.19999600986 & 67.7036041484933 & 70.6963878712266 \tabularnewline
69 & 69.19999600986 & 67.6128340176075 & 70.7871580021124 \tabularnewline
70 & 69.19999600986 & 67.5269814323571 & 70.8730105873628 \tabularnewline
71 & 69.19999600986 & 67.4453244270778 & 70.9546675926422 \tabularnewline
72 & 69.19999600986 & 67.3673021046183 & 71.0326899151016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166427&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]69.19999600986[/C][C]68.6709152083185[/C][C]69.7290768114014[/C][/ROW]
[ROW][C]62[/C][C]69.19999600986[/C][C]68.4517840870426[/C][C]69.9482079326774[/C][/ROW]
[ROW][C]63[/C][C]69.19999600986[/C][C]68.2836359996388[/C][C]70.1163560200811[/C][/ROW]
[ROW][C]64[/C][C]69.19999600986[/C][C]68.1418796385572[/C][C]70.2581123811627[/C][/ROW]
[ROW][C]65[/C][C]69.19999600986[/C][C]68.0169893141455[/C][C]70.3830027055744[/C][/ROW]
[ROW][C]66[/C][C]69.19999600986[/C][C]67.9040795661833[/C][C]70.4959124535366[/C][/ROW]
[ROW][C]67[/C][C]69.19999600986[/C][C]67.8002481697552[/C][C]70.5997438499648[/C][/ROW]
[ROW][C]68[/C][C]69.19999600986[/C][C]67.7036041484933[/C][C]70.6963878712266[/C][/ROW]
[ROW][C]69[/C][C]69.19999600986[/C][C]67.6128340176075[/C][C]70.7871580021124[/C][/ROW]
[ROW][C]70[/C][C]69.19999600986[/C][C]67.5269814323571[/C][C]70.8730105873628[/C][/ROW]
[ROW][C]71[/C][C]69.19999600986[/C][C]67.4453244270778[/C][C]70.9546675926422[/C][/ROW]
[ROW][C]72[/C][C]69.19999600986[/C][C]67.3673021046183[/C][C]71.0326899151016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166427&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166427&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
6169.1999960098668.670915208318569.7290768114014
6269.1999960098668.451784087042669.9482079326774
6369.1999960098668.283635999638870.1163560200811
6469.1999960098668.141879638557270.2581123811627
6569.1999960098668.016989314145570.3830027055744
6669.1999960098667.904079566183370.4959124535366
6769.1999960098667.800248169755270.5997438499648
6869.1999960098667.703604148493370.6963878712266
6969.1999960098667.612834017607570.7871580021124
7069.1999960098667.526981432357170.8730105873628
7169.1999960098667.445324427077870.9546675926422
7269.1999960098667.367302104618371.0326899151016



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')