Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 17 May 2014 08:39:15 -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/2014/May/17/t14003303659ftegjk8tcanlgm.htm/, Retrieved Wed, 15 May 2024 00:44:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234908, Retrieved Wed, 15 May 2024 00:44:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-05-17 12:39:15] [4a624b09294e96d11d180424866ab9d8] [Current]
Feedback Forum

Post a new message
Dataseries X:
0.69
0.69
0.68
0.66
0.65
0.65
0.65
0.65
0.65
0.66
0.68
0.72
0.73
0.75
0.69
0.65
0.64
0.64
0.64
0.64
0.65
0.65
0.67
0.7
0.69
0.7
0.71
0.69
0.69
0.69
0.69
0.69
0.7
0.7
0.7
0.74
0.72
0.74
0.69
0.66
0.66
0.66
0.66
0.66
0.66
0.67
0.7
0.72
0.71
0.7
0.71
0.67
0.7
0.69
0.69
0.69
0.69
0.69
0.71
0.75
0.74
0.75
0.72
0.64
0.65
0.64
0.64
0.64
0.64
0.65
0.66
0.7
0.68
0.69
0.68
0.67
0.68
0.68
0.68
0.68
0.68
0.7
0.69
0.75




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=234908&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=234908&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234908&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
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=234908&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=234908&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234908&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
30.680.69-0.0099999999999999
40.660.68-0.02
50.650.66-0.01
60.650.650
70.650.650
80.650.650
90.650.650
100.660.650.01
110.680.660.02
120.720.680.0399999999999999
130.730.720.01
140.750.730.02
150.690.75-0.0600000000000001
160.650.69-0.0399999999999999
170.640.65-0.01
180.640.640
190.640.640
200.640.640
210.650.640.01
220.650.650
230.670.650.02
240.70.670.0299999999999999
250.690.7-0.01
260.70.690.01
270.710.70.01
280.690.71-0.02
290.690.690
300.690.690
310.690.690
320.690.690
330.70.690.01
340.70.70
350.70.70
360.740.70.04
370.720.74-0.02
380.740.720.02
390.690.74-0.05
400.660.69-0.0299999999999999
410.660.660
420.660.660
430.660.660
440.660.660
450.660.660
460.670.660.01
470.70.670.0299999999999999
480.720.70.02
490.710.72-0.01
500.70.71-0.01
510.710.70.01
520.670.71-0.0399999999999999
530.70.670.0299999999999999
540.690.7-0.01
550.690.690
560.690.690
570.690.690
580.690.690
590.710.690.02
600.750.710.04
610.740.75-0.01
620.750.740.01
630.720.75-0.03
640.640.72-0.08
650.650.640.01
660.640.65-0.01
670.640.640
680.640.640
690.640.640
700.650.640.01
710.660.650.01
720.70.660.0399999999999999
730.680.7-0.0199999999999999
740.690.680.0099999999999999
750.680.69-0.0099999999999999
760.670.68-0.01
770.680.670.01
780.680.680
790.680.680
800.680.680
810.680.680
820.70.680.0199999999999999
830.690.7-0.01
840.750.690.0600000000000001

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 0.68 & 0.69 & -0.0099999999999999 \tabularnewline
4 & 0.66 & 0.68 & -0.02 \tabularnewline
5 & 0.65 & 0.66 & -0.01 \tabularnewline
6 & 0.65 & 0.65 & 0 \tabularnewline
7 & 0.65 & 0.65 & 0 \tabularnewline
8 & 0.65 & 0.65 & 0 \tabularnewline
9 & 0.65 & 0.65 & 0 \tabularnewline
10 & 0.66 & 0.65 & 0.01 \tabularnewline
11 & 0.68 & 0.66 & 0.02 \tabularnewline
12 & 0.72 & 0.68 & 0.0399999999999999 \tabularnewline
13 & 0.73 & 0.72 & 0.01 \tabularnewline
14 & 0.75 & 0.73 & 0.02 \tabularnewline
15 & 0.69 & 0.75 & -0.0600000000000001 \tabularnewline
16 & 0.65 & 0.69 & -0.0399999999999999 \tabularnewline
17 & 0.64 & 0.65 & -0.01 \tabularnewline
18 & 0.64 & 0.64 & 0 \tabularnewline
19 & 0.64 & 0.64 & 0 \tabularnewline
20 & 0.64 & 0.64 & 0 \tabularnewline
21 & 0.65 & 0.64 & 0.01 \tabularnewline
22 & 0.65 & 0.65 & 0 \tabularnewline
23 & 0.67 & 0.65 & 0.02 \tabularnewline
24 & 0.7 & 0.67 & 0.0299999999999999 \tabularnewline
25 & 0.69 & 0.7 & -0.01 \tabularnewline
26 & 0.7 & 0.69 & 0.01 \tabularnewline
27 & 0.71 & 0.7 & 0.01 \tabularnewline
28 & 0.69 & 0.71 & -0.02 \tabularnewline
29 & 0.69 & 0.69 & 0 \tabularnewline
30 & 0.69 & 0.69 & 0 \tabularnewline
31 & 0.69 & 0.69 & 0 \tabularnewline
32 & 0.69 & 0.69 & 0 \tabularnewline
33 & 0.7 & 0.69 & 0.01 \tabularnewline
34 & 0.7 & 0.7 & 0 \tabularnewline
35 & 0.7 & 0.7 & 0 \tabularnewline
36 & 0.74 & 0.7 & 0.04 \tabularnewline
37 & 0.72 & 0.74 & -0.02 \tabularnewline
38 & 0.74 & 0.72 & 0.02 \tabularnewline
39 & 0.69 & 0.74 & -0.05 \tabularnewline
40 & 0.66 & 0.69 & -0.0299999999999999 \tabularnewline
41 & 0.66 & 0.66 & 0 \tabularnewline
42 & 0.66 & 0.66 & 0 \tabularnewline
43 & 0.66 & 0.66 & 0 \tabularnewline
44 & 0.66 & 0.66 & 0 \tabularnewline
45 & 0.66 & 0.66 & 0 \tabularnewline
46 & 0.67 & 0.66 & 0.01 \tabularnewline
47 & 0.7 & 0.67 & 0.0299999999999999 \tabularnewline
48 & 0.72 & 0.7 & 0.02 \tabularnewline
49 & 0.71 & 0.72 & -0.01 \tabularnewline
50 & 0.7 & 0.71 & -0.01 \tabularnewline
51 & 0.71 & 0.7 & 0.01 \tabularnewline
52 & 0.67 & 0.71 & -0.0399999999999999 \tabularnewline
53 & 0.7 & 0.67 & 0.0299999999999999 \tabularnewline
54 & 0.69 & 0.7 & -0.01 \tabularnewline
55 & 0.69 & 0.69 & 0 \tabularnewline
56 & 0.69 & 0.69 & 0 \tabularnewline
57 & 0.69 & 0.69 & 0 \tabularnewline
58 & 0.69 & 0.69 & 0 \tabularnewline
59 & 0.71 & 0.69 & 0.02 \tabularnewline
60 & 0.75 & 0.71 & 0.04 \tabularnewline
61 & 0.74 & 0.75 & -0.01 \tabularnewline
62 & 0.75 & 0.74 & 0.01 \tabularnewline
63 & 0.72 & 0.75 & -0.03 \tabularnewline
64 & 0.64 & 0.72 & -0.08 \tabularnewline
65 & 0.65 & 0.64 & 0.01 \tabularnewline
66 & 0.64 & 0.65 & -0.01 \tabularnewline
67 & 0.64 & 0.64 & 0 \tabularnewline
68 & 0.64 & 0.64 & 0 \tabularnewline
69 & 0.64 & 0.64 & 0 \tabularnewline
70 & 0.65 & 0.64 & 0.01 \tabularnewline
71 & 0.66 & 0.65 & 0.01 \tabularnewline
72 & 0.7 & 0.66 & 0.0399999999999999 \tabularnewline
73 & 0.68 & 0.7 & -0.0199999999999999 \tabularnewline
74 & 0.69 & 0.68 & 0.0099999999999999 \tabularnewline
75 & 0.68 & 0.69 & -0.0099999999999999 \tabularnewline
76 & 0.67 & 0.68 & -0.01 \tabularnewline
77 & 0.68 & 0.67 & 0.01 \tabularnewline
78 & 0.68 & 0.68 & 0 \tabularnewline
79 & 0.68 & 0.68 & 0 \tabularnewline
80 & 0.68 & 0.68 & 0 \tabularnewline
81 & 0.68 & 0.68 & 0 \tabularnewline
82 & 0.7 & 0.68 & 0.0199999999999999 \tabularnewline
83 & 0.69 & 0.7 & -0.01 \tabularnewline
84 & 0.75 & 0.69 & 0.0600000000000001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234908&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]0.68[/C][C]0.69[/C][C]-0.0099999999999999[/C][/ROW]
[ROW][C]4[/C][C]0.66[/C][C]0.68[/C][C]-0.02[/C][/ROW]
[ROW][C]5[/C][C]0.65[/C][C]0.66[/C][C]-0.01[/C][/ROW]
[ROW][C]6[/C][C]0.65[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.65[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.65[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.65[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.66[/C][C]0.65[/C][C]0.01[/C][/ROW]
[ROW][C]11[/C][C]0.68[/C][C]0.66[/C][C]0.02[/C][/ROW]
[ROW][C]12[/C][C]0.72[/C][C]0.68[/C][C]0.0399999999999999[/C][/ROW]
[ROW][C]13[/C][C]0.73[/C][C]0.72[/C][C]0.01[/C][/ROW]
[ROW][C]14[/C][C]0.75[/C][C]0.73[/C][C]0.02[/C][/ROW]
[ROW][C]15[/C][C]0.69[/C][C]0.75[/C][C]-0.0600000000000001[/C][/ROW]
[ROW][C]16[/C][C]0.65[/C][C]0.69[/C][C]-0.0399999999999999[/C][/ROW]
[ROW][C]17[/C][C]0.64[/C][C]0.65[/C][C]-0.01[/C][/ROW]
[ROW][C]18[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]0.65[/C][C]0.64[/C][C]0.01[/C][/ROW]
[ROW][C]22[/C][C]0.65[/C][C]0.65[/C][C]0[/C][/ROW]
[ROW][C]23[/C][C]0.67[/C][C]0.65[/C][C]0.02[/C][/ROW]
[ROW][C]24[/C][C]0.7[/C][C]0.67[/C][C]0.0299999999999999[/C][/ROW]
[ROW][C]25[/C][C]0.69[/C][C]0.7[/C][C]-0.01[/C][/ROW]
[ROW][C]26[/C][C]0.7[/C][C]0.69[/C][C]0.01[/C][/ROW]
[ROW][C]27[/C][C]0.71[/C][C]0.7[/C][C]0.01[/C][/ROW]
[ROW][C]28[/C][C]0.69[/C][C]0.71[/C][C]-0.02[/C][/ROW]
[ROW][C]29[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]30[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]32[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]33[/C][C]0.7[/C][C]0.69[/C][C]0.01[/C][/ROW]
[ROW][C]34[/C][C]0.7[/C][C]0.7[/C][C]0[/C][/ROW]
[ROW][C]35[/C][C]0.7[/C][C]0.7[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]0.74[/C][C]0.7[/C][C]0.04[/C][/ROW]
[ROW][C]37[/C][C]0.72[/C][C]0.74[/C][C]-0.02[/C][/ROW]
[ROW][C]38[/C][C]0.74[/C][C]0.72[/C][C]0.02[/C][/ROW]
[ROW][C]39[/C][C]0.69[/C][C]0.74[/C][C]-0.05[/C][/ROW]
[ROW][C]40[/C][C]0.66[/C][C]0.69[/C][C]-0.0299999999999999[/C][/ROW]
[ROW][C]41[/C][C]0.66[/C][C]0.66[/C][C]0[/C][/ROW]
[ROW][C]42[/C][C]0.66[/C][C]0.66[/C][C]0[/C][/ROW]
[ROW][C]43[/C][C]0.66[/C][C]0.66[/C][C]0[/C][/ROW]
[ROW][C]44[/C][C]0.66[/C][C]0.66[/C][C]0[/C][/ROW]
[ROW][C]45[/C][C]0.66[/C][C]0.66[/C][C]0[/C][/ROW]
[ROW][C]46[/C][C]0.67[/C][C]0.66[/C][C]0.01[/C][/ROW]
[ROW][C]47[/C][C]0.7[/C][C]0.67[/C][C]0.0299999999999999[/C][/ROW]
[ROW][C]48[/C][C]0.72[/C][C]0.7[/C][C]0.02[/C][/ROW]
[ROW][C]49[/C][C]0.71[/C][C]0.72[/C][C]-0.01[/C][/ROW]
[ROW][C]50[/C][C]0.7[/C][C]0.71[/C][C]-0.01[/C][/ROW]
[ROW][C]51[/C][C]0.71[/C][C]0.7[/C][C]0.01[/C][/ROW]
[ROW][C]52[/C][C]0.67[/C][C]0.71[/C][C]-0.0399999999999999[/C][/ROW]
[ROW][C]53[/C][C]0.7[/C][C]0.67[/C][C]0.0299999999999999[/C][/ROW]
[ROW][C]54[/C][C]0.69[/C][C]0.7[/C][C]-0.01[/C][/ROW]
[ROW][C]55[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]57[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]58[/C][C]0.69[/C][C]0.69[/C][C]0[/C][/ROW]
[ROW][C]59[/C][C]0.71[/C][C]0.69[/C][C]0.02[/C][/ROW]
[ROW][C]60[/C][C]0.75[/C][C]0.71[/C][C]0.04[/C][/ROW]
[ROW][C]61[/C][C]0.74[/C][C]0.75[/C][C]-0.01[/C][/ROW]
[ROW][C]62[/C][C]0.75[/C][C]0.74[/C][C]0.01[/C][/ROW]
[ROW][C]63[/C][C]0.72[/C][C]0.75[/C][C]-0.03[/C][/ROW]
[ROW][C]64[/C][C]0.64[/C][C]0.72[/C][C]-0.08[/C][/ROW]
[ROW][C]65[/C][C]0.65[/C][C]0.64[/C][C]0.01[/C][/ROW]
[ROW][C]66[/C][C]0.64[/C][C]0.65[/C][C]-0.01[/C][/ROW]
[ROW][C]67[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]68[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]69[/C][C]0.64[/C][C]0.64[/C][C]0[/C][/ROW]
[ROW][C]70[/C][C]0.65[/C][C]0.64[/C][C]0.01[/C][/ROW]
[ROW][C]71[/C][C]0.66[/C][C]0.65[/C][C]0.01[/C][/ROW]
[ROW][C]72[/C][C]0.7[/C][C]0.66[/C][C]0.0399999999999999[/C][/ROW]
[ROW][C]73[/C][C]0.68[/C][C]0.7[/C][C]-0.0199999999999999[/C][/ROW]
[ROW][C]74[/C][C]0.69[/C][C]0.68[/C][C]0.0099999999999999[/C][/ROW]
[ROW][C]75[/C][C]0.68[/C][C]0.69[/C][C]-0.0099999999999999[/C][/ROW]
[ROW][C]76[/C][C]0.67[/C][C]0.68[/C][C]-0.01[/C][/ROW]
[ROW][C]77[/C][C]0.68[/C][C]0.67[/C][C]0.01[/C][/ROW]
[ROW][C]78[/C][C]0.68[/C][C]0.68[/C][C]0[/C][/ROW]
[ROW][C]79[/C][C]0.68[/C][C]0.68[/C][C]0[/C][/ROW]
[ROW][C]80[/C][C]0.68[/C][C]0.68[/C][C]0[/C][/ROW]
[ROW][C]81[/C][C]0.68[/C][C]0.68[/C][C]0[/C][/ROW]
[ROW][C]82[/C][C]0.7[/C][C]0.68[/C][C]0.0199999999999999[/C][/ROW]
[ROW][C]83[/C][C]0.69[/C][C]0.7[/C][C]-0.01[/C][/ROW]
[ROW][C]84[/C][C]0.75[/C][C]0.69[/C][C]0.0600000000000001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234908&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234908&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
30.680.69-0.0099999999999999
40.660.68-0.02
50.650.66-0.01
60.650.650
70.650.650
80.650.650
90.650.650
100.660.650.01
110.680.660.02
120.720.680.0399999999999999
130.730.720.01
140.750.730.02
150.690.75-0.0600000000000001
160.650.69-0.0399999999999999
170.640.65-0.01
180.640.640
190.640.640
200.640.640
210.650.640.01
220.650.650
230.670.650.02
240.70.670.0299999999999999
250.690.7-0.01
260.70.690.01
270.710.70.01
280.690.71-0.02
290.690.690
300.690.690
310.690.690
320.690.690
330.70.690.01
340.70.70
350.70.70
360.740.70.04
370.720.74-0.02
380.740.720.02
390.690.74-0.05
400.660.69-0.0299999999999999
410.660.660
420.660.660
430.660.660
440.660.660
450.660.660
460.670.660.01
470.70.670.0299999999999999
480.720.70.02
490.710.72-0.01
500.70.71-0.01
510.710.70.01
520.670.71-0.0399999999999999
530.70.670.0299999999999999
540.690.7-0.01
550.690.690
560.690.690
570.690.690
580.690.690
590.710.690.02
600.750.710.04
610.740.75-0.01
620.750.740.01
630.720.75-0.03
640.640.72-0.08
650.650.640.01
660.640.65-0.01
670.640.640
680.640.640
690.640.640
700.650.640.01
710.660.650.01
720.70.660.0399999999999999
730.680.7-0.0199999999999999
740.690.680.0099999999999999
750.680.69-0.0099999999999999
760.670.68-0.01
770.680.670.01
780.680.680
790.680.680
800.680.680
810.680.680
820.70.680.0199999999999999
830.690.7-0.01
840.750.690.0600000000000001







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
850.750.7080221077117350.791977892288265
860.750.6906342954060980.809365704593902
870.750.6772921577620710.822707842237929
880.750.6660442154234690.833955784576531
890.750.6561345792912750.843865420708725
900.750.6471755834162370.852824416583763
910.750.6389369364425940.861063063557406
920.750.6312685908121970.868731409187803
930.750.6240663231352040.875933676864796
940.750.6172542489958640.882745751004136
950.750.6107750817898710.889224918210129
960.750.6045843155241420.895415684475858

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
85 & 0.75 & 0.708022107711735 & 0.791977892288265 \tabularnewline
86 & 0.75 & 0.690634295406098 & 0.809365704593902 \tabularnewline
87 & 0.75 & 0.677292157762071 & 0.822707842237929 \tabularnewline
88 & 0.75 & 0.666044215423469 & 0.833955784576531 \tabularnewline
89 & 0.75 & 0.656134579291275 & 0.843865420708725 \tabularnewline
90 & 0.75 & 0.647175583416237 & 0.852824416583763 \tabularnewline
91 & 0.75 & 0.638936936442594 & 0.861063063557406 \tabularnewline
92 & 0.75 & 0.631268590812197 & 0.868731409187803 \tabularnewline
93 & 0.75 & 0.624066323135204 & 0.875933676864796 \tabularnewline
94 & 0.75 & 0.617254248995864 & 0.882745751004136 \tabularnewline
95 & 0.75 & 0.610775081789871 & 0.889224918210129 \tabularnewline
96 & 0.75 & 0.604584315524142 & 0.895415684475858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234908&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]85[/C][C]0.75[/C][C]0.708022107711735[/C][C]0.791977892288265[/C][/ROW]
[ROW][C]86[/C][C]0.75[/C][C]0.690634295406098[/C][C]0.809365704593902[/C][/ROW]
[ROW][C]87[/C][C]0.75[/C][C]0.677292157762071[/C][C]0.822707842237929[/C][/ROW]
[ROW][C]88[/C][C]0.75[/C][C]0.666044215423469[/C][C]0.833955784576531[/C][/ROW]
[ROW][C]89[/C][C]0.75[/C][C]0.656134579291275[/C][C]0.843865420708725[/C][/ROW]
[ROW][C]90[/C][C]0.75[/C][C]0.647175583416237[/C][C]0.852824416583763[/C][/ROW]
[ROW][C]91[/C][C]0.75[/C][C]0.638936936442594[/C][C]0.861063063557406[/C][/ROW]
[ROW][C]92[/C][C]0.75[/C][C]0.631268590812197[/C][C]0.868731409187803[/C][/ROW]
[ROW][C]93[/C][C]0.75[/C][C]0.624066323135204[/C][C]0.875933676864796[/C][/ROW]
[ROW][C]94[/C][C]0.75[/C][C]0.617254248995864[/C][C]0.882745751004136[/C][/ROW]
[ROW][C]95[/C][C]0.75[/C][C]0.610775081789871[/C][C]0.889224918210129[/C][/ROW]
[ROW][C]96[/C][C]0.75[/C][C]0.604584315524142[/C][C]0.895415684475858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234908&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234908&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
850.750.7080221077117350.791977892288265
860.750.6906342954060980.809365704593902
870.750.6772921577620710.822707842237929
880.750.6660442154234690.833955784576531
890.750.6561345792912750.843865420708725
900.750.6471755834162370.852824416583763
910.750.6389369364425940.861063063557406
920.750.6312685908121970.868731409187803
930.750.6240663231352040.875933676864796
940.750.6172542489958640.882745751004136
950.750.6107750817898710.889224918210129
960.750.6045843155241420.895415684475858



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')