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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 21 Dec 2012 04:03:09 -0500
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/Dec/21/t135608080750t9fcgfm3r3v9p.htm/, Retrieved Fri, 26 Apr 2024 03:27:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=203316, Retrieved Fri, 26 Apr 2024 03:27:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2012-12-21 09:03:09] [62859712c843b354ac43f7004f4dfb59] [Current]
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Dataseries X:
2,25
2,25
2,45
2,5
2,5
2,64
2,75
2,93
3
3,17
3,25
3,39
3,5
3,5
3,65
3,75
3,75
3,9
4
4
4
4
4
4
4
4
4
4
4
4
4,18
4,25
4,25
3,97
3,42
2,75
2,31
2
1,66
1,31
1,09
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1,14
1,25
1,25
1,4
1,5
1,5
1,5
1,32
1,11




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203316&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]3 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=203316&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203316&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999924023649956
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999924023649956 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203316&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]0.999924023649956[/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=203316&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203316&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
alpha0.999924023649956
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
22.252.250
32.452.250.2
42.52.449984804729990.0500151952700087
52.52.499996200028023.79997198329818e-06
62.642.499999999711290.140000000288708
72.752.639989363310970.110010636689028
82.932.749991641793360.180008358206642
932.929986323621970.0700136763780339
103.172.999994680616420.170005319383584
113.253.169987083616350.0800129163836547
123.393.249993920910660.140006079089343
133.53.389989362849130.110010637150873
143.53.499991641793328.35820667655085e-06
153.653.499999999364970.150000000635026
163.753.649988603547440.100011396452555
173.753.749992401499137.59850086540226e-06
183.93.749999999422690.150000000577306
1943.899988603547450.100011396452551
2043.999992401499137.59850086540226e-06
2143.999999999422695.77306202842465e-10
2243.999999999999964.39648317751562e-14
23440
24440
25440
26440
27440
28440
29440
30440
314.1840.18
324.254.179986324256990.0700136757430085
334.254.249994680616465.31938353631745e-06
343.974.24999999959585-0.279999999595853
353.423.97002127337798-0.550021273377982
362.753.4200417886088-0.670041788608798
372.312.75005090732948-0.440050907329475
3822.31003343346177-0.310033433461772
391.662.00002355520867-0.340023555208666
401.311.66002583374865-0.350025833748653
411.091.31002659368527-0.220026593685269
4211.0900167168175-0.0900167168175008
4311.00000683914159-6.83914158661203e-06
4411.00000000051961-5.19613019278609e-10
4511.00000000000004-3.95239396766556e-14
46110
47110
48110
49110
50110
51110
52110
53110
54110
55110
56110
57110
58110
59110
60110
61110
62110
63110
641.1410.14
651.251.139989363310990.110010636689006
661.251.249991641793368.35820664168985e-06
671.41.249999999364970.150000000635026
681.51.399988603547450.100011396452555
691.51.499992401499137.59850086518021e-06
701.51.499999999422695.7730642488707e-10
711.321.49999999999996-0.179999999999956
721.111.32001367574301-0.210013675743008

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 2.25 & 2.25 & 0 \tabularnewline
3 & 2.45 & 2.25 & 0.2 \tabularnewline
4 & 2.5 & 2.44998480472999 & 0.0500151952700087 \tabularnewline
5 & 2.5 & 2.49999620002802 & 3.79997198329818e-06 \tabularnewline
6 & 2.64 & 2.49999999971129 & 0.140000000288708 \tabularnewline
7 & 2.75 & 2.63998936331097 & 0.110010636689028 \tabularnewline
8 & 2.93 & 2.74999164179336 & 0.180008358206642 \tabularnewline
9 & 3 & 2.92998632362197 & 0.0700136763780339 \tabularnewline
10 & 3.17 & 2.99999468061642 & 0.170005319383584 \tabularnewline
11 & 3.25 & 3.16998708361635 & 0.0800129163836547 \tabularnewline
12 & 3.39 & 3.24999392091066 & 0.140006079089343 \tabularnewline
13 & 3.5 & 3.38998936284913 & 0.110010637150873 \tabularnewline
14 & 3.5 & 3.49999164179332 & 8.35820667655085e-06 \tabularnewline
15 & 3.65 & 3.49999999936497 & 0.150000000635026 \tabularnewline
16 & 3.75 & 3.64998860354744 & 0.100011396452555 \tabularnewline
17 & 3.75 & 3.74999240149913 & 7.59850086540226e-06 \tabularnewline
18 & 3.9 & 3.74999999942269 & 0.150000000577306 \tabularnewline
19 & 4 & 3.89998860354745 & 0.100011396452551 \tabularnewline
20 & 4 & 3.99999240149913 & 7.59850086540226e-06 \tabularnewline
21 & 4 & 3.99999999942269 & 5.77306202842465e-10 \tabularnewline
22 & 4 & 3.99999999999996 & 4.39648317751562e-14 \tabularnewline
23 & 4 & 4 & 0 \tabularnewline
24 & 4 & 4 & 0 \tabularnewline
25 & 4 & 4 & 0 \tabularnewline
26 & 4 & 4 & 0 \tabularnewline
27 & 4 & 4 & 0 \tabularnewline
28 & 4 & 4 & 0 \tabularnewline
29 & 4 & 4 & 0 \tabularnewline
30 & 4 & 4 & 0 \tabularnewline
31 & 4.18 & 4 & 0.18 \tabularnewline
32 & 4.25 & 4.17998632425699 & 0.0700136757430085 \tabularnewline
33 & 4.25 & 4.24999468061646 & 5.31938353631745e-06 \tabularnewline
34 & 3.97 & 4.24999999959585 & -0.279999999595853 \tabularnewline
35 & 3.42 & 3.97002127337798 & -0.550021273377982 \tabularnewline
36 & 2.75 & 3.4200417886088 & -0.670041788608798 \tabularnewline
37 & 2.31 & 2.75005090732948 & -0.440050907329475 \tabularnewline
38 & 2 & 2.31003343346177 & -0.310033433461772 \tabularnewline
39 & 1.66 & 2.00002355520867 & -0.340023555208666 \tabularnewline
40 & 1.31 & 1.66002583374865 & -0.350025833748653 \tabularnewline
41 & 1.09 & 1.31002659368527 & -0.220026593685269 \tabularnewline
42 & 1 & 1.0900167168175 & -0.0900167168175008 \tabularnewline
43 & 1 & 1.00000683914159 & -6.83914158661203e-06 \tabularnewline
44 & 1 & 1.00000000051961 & -5.19613019278609e-10 \tabularnewline
45 & 1 & 1.00000000000004 & -3.95239396766556e-14 \tabularnewline
46 & 1 & 1 & 0 \tabularnewline
47 & 1 & 1 & 0 \tabularnewline
48 & 1 & 1 & 0 \tabularnewline
49 & 1 & 1 & 0 \tabularnewline
50 & 1 & 1 & 0 \tabularnewline
51 & 1 & 1 & 0 \tabularnewline
52 & 1 & 1 & 0 \tabularnewline
53 & 1 & 1 & 0 \tabularnewline
54 & 1 & 1 & 0 \tabularnewline
55 & 1 & 1 & 0 \tabularnewline
56 & 1 & 1 & 0 \tabularnewline
57 & 1 & 1 & 0 \tabularnewline
58 & 1 & 1 & 0 \tabularnewline
59 & 1 & 1 & 0 \tabularnewline
60 & 1 & 1 & 0 \tabularnewline
61 & 1 & 1 & 0 \tabularnewline
62 & 1 & 1 & 0 \tabularnewline
63 & 1 & 1 & 0 \tabularnewline
64 & 1.14 & 1 & 0.14 \tabularnewline
65 & 1.25 & 1.13998936331099 & 0.110010636689006 \tabularnewline
66 & 1.25 & 1.24999164179336 & 8.35820664168985e-06 \tabularnewline
67 & 1.4 & 1.24999999936497 & 0.150000000635026 \tabularnewline
68 & 1.5 & 1.39998860354745 & 0.100011396452555 \tabularnewline
69 & 1.5 & 1.49999240149913 & 7.59850086518021e-06 \tabularnewline
70 & 1.5 & 1.49999999942269 & 5.7730642488707e-10 \tabularnewline
71 & 1.32 & 1.49999999999996 & -0.179999999999956 \tabularnewline
72 & 1.11 & 1.32001367574301 & -0.210013675743008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203316&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]2.25[/C][C]2.25[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]2.45[/C][C]2.25[/C][C]0.2[/C][/ROW]
[ROW][C]4[/C][C]2.5[/C][C]2.44998480472999[/C][C]0.0500151952700087[/C][/ROW]
[ROW][C]5[/C][C]2.5[/C][C]2.49999620002802[/C][C]3.79997198329818e-06[/C][/ROW]
[ROW][C]6[/C][C]2.64[/C][C]2.49999999971129[/C][C]0.140000000288708[/C][/ROW]
[ROW][C]7[/C][C]2.75[/C][C]2.63998936331097[/C][C]0.110010636689028[/C][/ROW]
[ROW][C]8[/C][C]2.93[/C][C]2.74999164179336[/C][C]0.180008358206642[/C][/ROW]
[ROW][C]9[/C][C]3[/C][C]2.92998632362197[/C][C]0.0700136763780339[/C][/ROW]
[ROW][C]10[/C][C]3.17[/C][C]2.99999468061642[/C][C]0.170005319383584[/C][/ROW]
[ROW][C]11[/C][C]3.25[/C][C]3.16998708361635[/C][C]0.0800129163836547[/C][/ROW]
[ROW][C]12[/C][C]3.39[/C][C]3.24999392091066[/C][C]0.140006079089343[/C][/ROW]
[ROW][C]13[/C][C]3.5[/C][C]3.38998936284913[/C][C]0.110010637150873[/C][/ROW]
[ROW][C]14[/C][C]3.5[/C][C]3.49999164179332[/C][C]8.35820667655085e-06[/C][/ROW]
[ROW][C]15[/C][C]3.65[/C][C]3.49999999936497[/C][C]0.150000000635026[/C][/ROW]
[ROW][C]16[/C][C]3.75[/C][C]3.64998860354744[/C][C]0.100011396452555[/C][/ROW]
[ROW][C]17[/C][C]3.75[/C][C]3.74999240149913[/C][C]7.59850086540226e-06[/C][/ROW]
[ROW][C]18[/C][C]3.9[/C][C]3.74999999942269[/C][C]0.150000000577306[/C][/ROW]
[ROW][C]19[/C][C]4[/C][C]3.89998860354745[/C][C]0.100011396452551[/C][/ROW]
[ROW][C]20[/C][C]4[/C][C]3.99999240149913[/C][C]7.59850086540226e-06[/C][/ROW]
[ROW][C]21[/C][C]4[/C][C]3.99999999942269[/C][C]5.77306202842465e-10[/C][/ROW]
[ROW][C]22[/C][C]4[/C][C]3.99999999999996[/C][C]4.39648317751562e-14[/C][/ROW]
[ROW][C]23[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]27[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]28[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]29[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]30[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]4.18[/C][C]4[/C][C]0.18[/C][/ROW]
[ROW][C]32[/C][C]4.25[/C][C]4.17998632425699[/C][C]0.0700136757430085[/C][/ROW]
[ROW][C]33[/C][C]4.25[/C][C]4.24999468061646[/C][C]5.31938353631745e-06[/C][/ROW]
[ROW][C]34[/C][C]3.97[/C][C]4.24999999959585[/C][C]-0.279999999595853[/C][/ROW]
[ROW][C]35[/C][C]3.42[/C][C]3.97002127337798[/C][C]-0.550021273377982[/C][/ROW]
[ROW][C]36[/C][C]2.75[/C][C]3.4200417886088[/C][C]-0.670041788608798[/C][/ROW]
[ROW][C]37[/C][C]2.31[/C][C]2.75005090732948[/C][C]-0.440050907329475[/C][/ROW]
[ROW][C]38[/C][C]2[/C][C]2.31003343346177[/C][C]-0.310033433461772[/C][/ROW]
[ROW][C]39[/C][C]1.66[/C][C]2.00002355520867[/C][C]-0.340023555208666[/C][/ROW]
[ROW][C]40[/C][C]1.31[/C][C]1.66002583374865[/C][C]-0.350025833748653[/C][/ROW]
[ROW][C]41[/C][C]1.09[/C][C]1.31002659368527[/C][C]-0.220026593685269[/C][/ROW]
[ROW][C]42[/C][C]1[/C][C]1.0900167168175[/C][C]-0.0900167168175008[/C][/ROW]
[ROW][C]43[/C][C]1[/C][C]1.00000683914159[/C][C]-6.83914158661203e-06[/C][/ROW]
[ROW][C]44[/C][C]1[/C][C]1.00000000051961[/C][C]-5.19613019278609e-10[/C][/ROW]
[ROW][C]45[/C][C]1[/C][C]1.00000000000004[/C][C]-3.95239396766556e-14[/C][/ROW]
[ROW][C]46[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]47[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]48[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]49[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]51[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]52[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]53[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]54[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]55[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]57[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]58[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]59[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]60[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]61[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]62[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]63[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]64[/C][C]1.14[/C][C]1[/C][C]0.14[/C][/ROW]
[ROW][C]65[/C][C]1.25[/C][C]1.13998936331099[/C][C]0.110010636689006[/C][/ROW]
[ROW][C]66[/C][C]1.25[/C][C]1.24999164179336[/C][C]8.35820664168985e-06[/C][/ROW]
[ROW][C]67[/C][C]1.4[/C][C]1.24999999936497[/C][C]0.150000000635026[/C][/ROW]
[ROW][C]68[/C][C]1.5[/C][C]1.39998860354745[/C][C]0.100011396452555[/C][/ROW]
[ROW][C]69[/C][C]1.5[/C][C]1.49999240149913[/C][C]7.59850086518021e-06[/C][/ROW]
[ROW][C]70[/C][C]1.5[/C][C]1.49999999942269[/C][C]5.7730642488707e-10[/C][/ROW]
[ROW][C]71[/C][C]1.32[/C][C]1.49999999999996[/C][C]-0.179999999999956[/C][/ROW]
[ROW][C]72[/C][C]1.11[/C][C]1.32001367574301[/C][C]-0.210013675743008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203316&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203316&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
22.252.250
32.452.250.2
42.52.449984804729990.0500151952700087
52.52.499996200028023.79997198329818e-06
62.642.499999999711290.140000000288708
72.752.639989363310970.110010636689028
82.932.749991641793360.180008358206642
932.929986323621970.0700136763780339
103.172.999994680616420.170005319383584
113.253.169987083616350.0800129163836547
123.393.249993920910660.140006079089343
133.53.389989362849130.110010637150873
143.53.499991641793328.35820667655085e-06
153.653.499999999364970.150000000635026
163.753.649988603547440.100011396452555
173.753.749992401499137.59850086540226e-06
183.93.749999999422690.150000000577306
1943.899988603547450.100011396452551
2043.999992401499137.59850086540226e-06
2143.999999999422695.77306202842465e-10
2243.999999999999964.39648317751562e-14
23440
24440
25440
26440
27440
28440
29440
30440
314.1840.18
324.254.179986324256990.0700136757430085
334.254.249994680616465.31938353631745e-06
343.974.24999999959585-0.279999999595853
353.423.97002127337798-0.550021273377982
362.753.4200417886088-0.670041788608798
372.312.75005090732948-0.440050907329475
3822.31003343346177-0.310033433461772
391.662.00002355520867-0.340023555208666
401.311.66002583374865-0.350025833748653
411.091.31002659368527-0.220026593685269
4211.0900167168175-0.0900167168175008
4311.00000683914159-6.83914158661203e-06
4411.00000000051961-5.19613019278609e-10
4511.00000000000004-3.95239396766556e-14
46110
47110
48110
49110
50110
51110
52110
53110
54110
55110
56110
57110
58110
59110
60110
61110
62110
63110
641.1410.14
651.251.139989363310990.110010636689006
661.251.249991641793368.35820664168985e-06
671.41.249999999364970.150000000635026
681.51.399988603547450.100011396452555
691.51.499992401499137.59850086518021e-06
701.51.499999999422695.7730642488707e-10
711.321.49999999999996-0.179999999999956
721.111.32001367574301-0.210013675743008







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
731.110015956072540.794196584819221.42583532732586
741.110015956072540.6633968845516531.55663502759343
751.110015956072540.5630284655085281.65700344663656
761.110015956072540.478413205428711.74161870671637
771.110015956072540.4038652962214081.81616661592368
781.110015956072540.3364686244919021.88356328765318
791.110015956072540.27449085532281.94554105682228
801.110015956072540.2168032637253042.00322864841978
811.110015956072540.162621828184082.057410083961
821.110015956072540.1113757038571222.10865620828796
831.110015956072540.06263394690291072.15739796524217
841.110015956072540.01606175551405852.20397015663103

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 1.11001595607254 & 0.79419658481922 & 1.42583532732586 \tabularnewline
74 & 1.11001595607254 & 0.663396884551653 & 1.55663502759343 \tabularnewline
75 & 1.11001595607254 & 0.563028465508528 & 1.65700344663656 \tabularnewline
76 & 1.11001595607254 & 0.47841320542871 & 1.74161870671637 \tabularnewline
77 & 1.11001595607254 & 0.403865296221408 & 1.81616661592368 \tabularnewline
78 & 1.11001595607254 & 0.336468624491902 & 1.88356328765318 \tabularnewline
79 & 1.11001595607254 & 0.2744908553228 & 1.94554105682228 \tabularnewline
80 & 1.11001595607254 & 0.216803263725304 & 2.00322864841978 \tabularnewline
81 & 1.11001595607254 & 0.16262182818408 & 2.057410083961 \tabularnewline
82 & 1.11001595607254 & 0.111375703857122 & 2.10865620828796 \tabularnewline
83 & 1.11001595607254 & 0.0626339469029107 & 2.15739796524217 \tabularnewline
84 & 1.11001595607254 & 0.0160617555140585 & 2.20397015663103 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203316&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]1.11001595607254[/C][C]0.79419658481922[/C][C]1.42583532732586[/C][/ROW]
[ROW][C]74[/C][C]1.11001595607254[/C][C]0.663396884551653[/C][C]1.55663502759343[/C][/ROW]
[ROW][C]75[/C][C]1.11001595607254[/C][C]0.563028465508528[/C][C]1.65700344663656[/C][/ROW]
[ROW][C]76[/C][C]1.11001595607254[/C][C]0.47841320542871[/C][C]1.74161870671637[/C][/ROW]
[ROW][C]77[/C][C]1.11001595607254[/C][C]0.403865296221408[/C][C]1.81616661592368[/C][/ROW]
[ROW][C]78[/C][C]1.11001595607254[/C][C]0.336468624491902[/C][C]1.88356328765318[/C][/ROW]
[ROW][C]79[/C][C]1.11001595607254[/C][C]0.2744908553228[/C][C]1.94554105682228[/C][/ROW]
[ROW][C]80[/C][C]1.11001595607254[/C][C]0.216803263725304[/C][C]2.00322864841978[/C][/ROW]
[ROW][C]81[/C][C]1.11001595607254[/C][C]0.16262182818408[/C][C]2.057410083961[/C][/ROW]
[ROW][C]82[/C][C]1.11001595607254[/C][C]0.111375703857122[/C][C]2.10865620828796[/C][/ROW]
[ROW][C]83[/C][C]1.11001595607254[/C][C]0.0626339469029107[/C][C]2.15739796524217[/C][/ROW]
[ROW][C]84[/C][C]1.11001595607254[/C][C]0.0160617555140585[/C][C]2.20397015663103[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203316&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203316&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
731.110015956072540.794196584819221.42583532732586
741.110015956072540.6633968845516531.55663502759343
751.110015956072540.5630284655085281.65700344663656
761.110015956072540.478413205428711.74161870671637
771.110015956072540.4038652962214081.81616661592368
781.110015956072540.3364686244919021.88356328765318
791.110015956072540.27449085532281.94554105682228
801.110015956072540.2168032637253042.00322864841978
811.110015956072540.162621828184082.057410083961
821.110015956072540.1113757038571222.10865620828796
831.110015956072540.06263394690291072.15739796524217
841.110015956072540.01606175551405852.20397015663103



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')