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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 30 Nov 2014 21:31:05 +0000
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/Nov/30/t1417383077lube3ozsrihww8r.htm/, Retrieved Sun, 19 May 2024 20:47:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261679, Retrieved Sun, 19 May 2024 20:47:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [] [2014-11-28 09:37:57] [ff75f90af5b40beed49c921323a87bd7]
- RMPD    [Exponential Smoothing] [] [2014-11-30 21:31:05] [a4941b106213b8203102126a01fbfecf] [Current]
- R PD      [Exponential Smoothing] [] [2014-11-30 21:32:20] [ff75f90af5b40beed49c921323a87bd7]
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Dataseries X:
44,91
44,86
44,76
44,89
44,89
45
45,01
45,11
45,05
44,67
44,48
44,48
44,48
44,58
44,79
44,79
44,41
44,41
44,44
44,43
44,36
44,39
44,39
44,41
44,32
44,43
44,82
44,97
44,91
44,79
44,76
44,8
44,65
44,49
44,56
44,4
44,45
44,46
44,39
44,5
44,44
44,41
44,4
44,42
44,49
44,46
44,49
44,5
44,5
44,5
44,55
44,53
44,49
44,49
44,62
44,59
44,56
44,57
44,04
44,06
44,07
44,1
44,21
44,48
44,51
44,24
44,25
44,27
44,45
44,39
44,23
44,23




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=261679&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=261679&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261679&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
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261679&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]0.999933893038648[/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=261679&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261679&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
244.8644.91-0.0499999999999972
344.7644.8600033053481-0.100003305348068
444.8944.76000661091460.129993389085357
544.8944.8899914065328.5934679532329e-06
64544.88999999943190.110000000568093
745.0144.99999272823420.0100072717657866
845.1145.00999933844970.100000661550325
945.0545.1099933892601-0.0599933892601356
1044.6745.0500039659807-0.380003965980663
1144.4844.6700251209075-0.190025120907499
1244.4844.4800125619833-1.25619833255541e-05
1344.4844.4800000008304-8.30439716992259e-10
1444.5844.48000000000010.0999999999999446
1544.7944.57999338930390.210006610696141
1644.7944.78998611710111.38828988909268e-05
1744.4144.7899999990822-0.379999999082251
1844.4144.4100251206453-2.51206452546171e-05
1944.4444.41000000166060.0299999983393491
2044.4344.4399980167913-0.00999801679126477
2144.3644.4300006609385-0.0700006609385113
2244.3944.3600046275310.029995372469017
2344.3944.38999801709711.98290292985348e-06
2444.4144.38999999986890.0200000001310769
2544.3244.4099986778608-0.0899986778607627
2644.4344.32000594953910.109994050460884
2744.8244.42999272862760.39000727137244
2844.9744.81997421780440.150025782195613
2944.9144.9699900822514-0.0599900822514172
3044.7944.910003965762-0.120003965762045
3144.7644.7900079330975-0.0300079330975294
3244.844.76000198373330.0399980162667219
3344.6544.7999973558527-0.149997355852683
3444.4944.6500099158694-0.160009915869402
3544.5644.49001057776930.0699894222306767
3644.444.559995373212-0.15999537321197
3744.4544.4000105768080.0499894231920521
3844.4644.44999669535110.0100033046488619
3944.3944.4599993387119-0.0699993387119306
4044.544.39000462744360.109995372556419
4144.4444.4999927285402-0.0599927285401591
4244.4144.440003965937-0.0300039659369915
4344.444.410001983471-0.0100019834710139
4444.4244.40000066120070.0199993387992663
4544.4944.41999867790450.0700013220955142
4644.4644.4899953724253-0.0299953724253115
4744.4944.46000198290290.0299980170970713
4844.544.48999801692230.0100019830777498
4944.544.49999933879936.6120070840725e-07
5044.544.49999999995634.37054836766038e-11
5144.5544.50.0499999999999972
5244.5344.5499966946519-0.0199966946519226
5344.4944.5300013219207-0.0400013219207196
5444.4944.4900026443658-2.64436584274108e-06
5544.6244.49000000017480.129999999825181
5644.5944.619991406095-0.0299914060950286
5744.5644.5900019826407-0.0300019826407194
5844.5744.56000198333990.00999801666009148
5944.0444.5699993390615-0.529999339061497
6044.0644.04003503664580.0199649633541839
6144.0744.05999868017690.0100013198230613
6244.144.06999933884310.030000661156862
6344.2144.09999801674750.110001983252545
6444.4844.20999272810310.270007271896851
6544.5144.47998215063970.0300178493602843
6644.2444.5099980156112-0.269998015611193
6744.2544.24001784874840.00998215125161295
6844.2744.24999934011030.0200006598896891
6944.4544.26999867781710.180001322182854
7044.3944.4499881006596-0.0599881006595524
7144.2344.3900039656311-0.160003965631056
7244.2344.230010577376-1.05773759742078e-05

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 44.86 & 44.91 & -0.0499999999999972 \tabularnewline
3 & 44.76 & 44.8600033053481 & -0.100003305348068 \tabularnewline
4 & 44.89 & 44.7600066109146 & 0.129993389085357 \tabularnewline
5 & 44.89 & 44.889991406532 & 8.5934679532329e-06 \tabularnewline
6 & 45 & 44.8899999994319 & 0.110000000568093 \tabularnewline
7 & 45.01 & 44.9999927282342 & 0.0100072717657866 \tabularnewline
8 & 45.11 & 45.0099993384497 & 0.100000661550325 \tabularnewline
9 & 45.05 & 45.1099933892601 & -0.0599933892601356 \tabularnewline
10 & 44.67 & 45.0500039659807 & -0.380003965980663 \tabularnewline
11 & 44.48 & 44.6700251209075 & -0.190025120907499 \tabularnewline
12 & 44.48 & 44.4800125619833 & -1.25619833255541e-05 \tabularnewline
13 & 44.48 & 44.4800000008304 & -8.30439716992259e-10 \tabularnewline
14 & 44.58 & 44.4800000000001 & 0.0999999999999446 \tabularnewline
15 & 44.79 & 44.5799933893039 & 0.210006610696141 \tabularnewline
16 & 44.79 & 44.7899861171011 & 1.38828988909268e-05 \tabularnewline
17 & 44.41 & 44.7899999990822 & -0.379999999082251 \tabularnewline
18 & 44.41 & 44.4100251206453 & -2.51206452546171e-05 \tabularnewline
19 & 44.44 & 44.4100000016606 & 0.0299999983393491 \tabularnewline
20 & 44.43 & 44.4399980167913 & -0.00999801679126477 \tabularnewline
21 & 44.36 & 44.4300006609385 & -0.0700006609385113 \tabularnewline
22 & 44.39 & 44.360004627531 & 0.029995372469017 \tabularnewline
23 & 44.39 & 44.3899980170971 & 1.98290292985348e-06 \tabularnewline
24 & 44.41 & 44.3899999998689 & 0.0200000001310769 \tabularnewline
25 & 44.32 & 44.4099986778608 & -0.0899986778607627 \tabularnewline
26 & 44.43 & 44.3200059495391 & 0.109994050460884 \tabularnewline
27 & 44.82 & 44.4299927286276 & 0.39000727137244 \tabularnewline
28 & 44.97 & 44.8199742178044 & 0.150025782195613 \tabularnewline
29 & 44.91 & 44.9699900822514 & -0.0599900822514172 \tabularnewline
30 & 44.79 & 44.910003965762 & -0.120003965762045 \tabularnewline
31 & 44.76 & 44.7900079330975 & -0.0300079330975294 \tabularnewline
32 & 44.8 & 44.7600019837333 & 0.0399980162667219 \tabularnewline
33 & 44.65 & 44.7999973558527 & -0.149997355852683 \tabularnewline
34 & 44.49 & 44.6500099158694 & -0.160009915869402 \tabularnewline
35 & 44.56 & 44.4900105777693 & 0.0699894222306767 \tabularnewline
36 & 44.4 & 44.559995373212 & -0.15999537321197 \tabularnewline
37 & 44.45 & 44.400010576808 & 0.0499894231920521 \tabularnewline
38 & 44.46 & 44.4499966953511 & 0.0100033046488619 \tabularnewline
39 & 44.39 & 44.4599993387119 & -0.0699993387119306 \tabularnewline
40 & 44.5 & 44.3900046274436 & 0.109995372556419 \tabularnewline
41 & 44.44 & 44.4999927285402 & -0.0599927285401591 \tabularnewline
42 & 44.41 & 44.440003965937 & -0.0300039659369915 \tabularnewline
43 & 44.4 & 44.410001983471 & -0.0100019834710139 \tabularnewline
44 & 44.42 & 44.4000006612007 & 0.0199993387992663 \tabularnewline
45 & 44.49 & 44.4199986779045 & 0.0700013220955142 \tabularnewline
46 & 44.46 & 44.4899953724253 & -0.0299953724253115 \tabularnewline
47 & 44.49 & 44.4600019829029 & 0.0299980170970713 \tabularnewline
48 & 44.5 & 44.4899980169223 & 0.0100019830777498 \tabularnewline
49 & 44.5 & 44.4999993387993 & 6.6120070840725e-07 \tabularnewline
50 & 44.5 & 44.4999999999563 & 4.37054836766038e-11 \tabularnewline
51 & 44.55 & 44.5 & 0.0499999999999972 \tabularnewline
52 & 44.53 & 44.5499966946519 & -0.0199966946519226 \tabularnewline
53 & 44.49 & 44.5300013219207 & -0.0400013219207196 \tabularnewline
54 & 44.49 & 44.4900026443658 & -2.64436584274108e-06 \tabularnewline
55 & 44.62 & 44.4900000001748 & 0.129999999825181 \tabularnewline
56 & 44.59 & 44.619991406095 & -0.0299914060950286 \tabularnewline
57 & 44.56 & 44.5900019826407 & -0.0300019826407194 \tabularnewline
58 & 44.57 & 44.5600019833399 & 0.00999801666009148 \tabularnewline
59 & 44.04 & 44.5699993390615 & -0.529999339061497 \tabularnewline
60 & 44.06 & 44.0400350366458 & 0.0199649633541839 \tabularnewline
61 & 44.07 & 44.0599986801769 & 0.0100013198230613 \tabularnewline
62 & 44.1 & 44.0699993388431 & 0.030000661156862 \tabularnewline
63 & 44.21 & 44.0999980167475 & 0.110001983252545 \tabularnewline
64 & 44.48 & 44.2099927281031 & 0.270007271896851 \tabularnewline
65 & 44.51 & 44.4799821506397 & 0.0300178493602843 \tabularnewline
66 & 44.24 & 44.5099980156112 & -0.269998015611193 \tabularnewline
67 & 44.25 & 44.2400178487484 & 0.00998215125161295 \tabularnewline
68 & 44.27 & 44.2499993401103 & 0.0200006598896891 \tabularnewline
69 & 44.45 & 44.2699986778171 & 0.180001322182854 \tabularnewline
70 & 44.39 & 44.4499881006596 & -0.0599881006595524 \tabularnewline
71 & 44.23 & 44.3900039656311 & -0.160003965631056 \tabularnewline
72 & 44.23 & 44.230010577376 & -1.05773759742078e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261679&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]44.86[/C][C]44.91[/C][C]-0.0499999999999972[/C][/ROW]
[ROW][C]3[/C][C]44.76[/C][C]44.8600033053481[/C][C]-0.100003305348068[/C][/ROW]
[ROW][C]4[/C][C]44.89[/C][C]44.7600066109146[/C][C]0.129993389085357[/C][/ROW]
[ROW][C]5[/C][C]44.89[/C][C]44.889991406532[/C][C]8.5934679532329e-06[/C][/ROW]
[ROW][C]6[/C][C]45[/C][C]44.8899999994319[/C][C]0.110000000568093[/C][/ROW]
[ROW][C]7[/C][C]45.01[/C][C]44.9999927282342[/C][C]0.0100072717657866[/C][/ROW]
[ROW][C]8[/C][C]45.11[/C][C]45.0099993384497[/C][C]0.100000661550325[/C][/ROW]
[ROW][C]9[/C][C]45.05[/C][C]45.1099933892601[/C][C]-0.0599933892601356[/C][/ROW]
[ROW][C]10[/C][C]44.67[/C][C]45.0500039659807[/C][C]-0.380003965980663[/C][/ROW]
[ROW][C]11[/C][C]44.48[/C][C]44.6700251209075[/C][C]-0.190025120907499[/C][/ROW]
[ROW][C]12[/C][C]44.48[/C][C]44.4800125619833[/C][C]-1.25619833255541e-05[/C][/ROW]
[ROW][C]13[/C][C]44.48[/C][C]44.4800000008304[/C][C]-8.30439716992259e-10[/C][/ROW]
[ROW][C]14[/C][C]44.58[/C][C]44.4800000000001[/C][C]0.0999999999999446[/C][/ROW]
[ROW][C]15[/C][C]44.79[/C][C]44.5799933893039[/C][C]0.210006610696141[/C][/ROW]
[ROW][C]16[/C][C]44.79[/C][C]44.7899861171011[/C][C]1.38828988909268e-05[/C][/ROW]
[ROW][C]17[/C][C]44.41[/C][C]44.7899999990822[/C][C]-0.379999999082251[/C][/ROW]
[ROW][C]18[/C][C]44.41[/C][C]44.4100251206453[/C][C]-2.51206452546171e-05[/C][/ROW]
[ROW][C]19[/C][C]44.44[/C][C]44.4100000016606[/C][C]0.0299999983393491[/C][/ROW]
[ROW][C]20[/C][C]44.43[/C][C]44.4399980167913[/C][C]-0.00999801679126477[/C][/ROW]
[ROW][C]21[/C][C]44.36[/C][C]44.4300006609385[/C][C]-0.0700006609385113[/C][/ROW]
[ROW][C]22[/C][C]44.39[/C][C]44.360004627531[/C][C]0.029995372469017[/C][/ROW]
[ROW][C]23[/C][C]44.39[/C][C]44.3899980170971[/C][C]1.98290292985348e-06[/C][/ROW]
[ROW][C]24[/C][C]44.41[/C][C]44.3899999998689[/C][C]0.0200000001310769[/C][/ROW]
[ROW][C]25[/C][C]44.32[/C][C]44.4099986778608[/C][C]-0.0899986778607627[/C][/ROW]
[ROW][C]26[/C][C]44.43[/C][C]44.3200059495391[/C][C]0.109994050460884[/C][/ROW]
[ROW][C]27[/C][C]44.82[/C][C]44.4299927286276[/C][C]0.39000727137244[/C][/ROW]
[ROW][C]28[/C][C]44.97[/C][C]44.8199742178044[/C][C]0.150025782195613[/C][/ROW]
[ROW][C]29[/C][C]44.91[/C][C]44.9699900822514[/C][C]-0.0599900822514172[/C][/ROW]
[ROW][C]30[/C][C]44.79[/C][C]44.910003965762[/C][C]-0.120003965762045[/C][/ROW]
[ROW][C]31[/C][C]44.76[/C][C]44.7900079330975[/C][C]-0.0300079330975294[/C][/ROW]
[ROW][C]32[/C][C]44.8[/C][C]44.7600019837333[/C][C]0.0399980162667219[/C][/ROW]
[ROW][C]33[/C][C]44.65[/C][C]44.7999973558527[/C][C]-0.149997355852683[/C][/ROW]
[ROW][C]34[/C][C]44.49[/C][C]44.6500099158694[/C][C]-0.160009915869402[/C][/ROW]
[ROW][C]35[/C][C]44.56[/C][C]44.4900105777693[/C][C]0.0699894222306767[/C][/ROW]
[ROW][C]36[/C][C]44.4[/C][C]44.559995373212[/C][C]-0.15999537321197[/C][/ROW]
[ROW][C]37[/C][C]44.45[/C][C]44.400010576808[/C][C]0.0499894231920521[/C][/ROW]
[ROW][C]38[/C][C]44.46[/C][C]44.4499966953511[/C][C]0.0100033046488619[/C][/ROW]
[ROW][C]39[/C][C]44.39[/C][C]44.4599993387119[/C][C]-0.0699993387119306[/C][/ROW]
[ROW][C]40[/C][C]44.5[/C][C]44.3900046274436[/C][C]0.109995372556419[/C][/ROW]
[ROW][C]41[/C][C]44.44[/C][C]44.4999927285402[/C][C]-0.0599927285401591[/C][/ROW]
[ROW][C]42[/C][C]44.41[/C][C]44.440003965937[/C][C]-0.0300039659369915[/C][/ROW]
[ROW][C]43[/C][C]44.4[/C][C]44.410001983471[/C][C]-0.0100019834710139[/C][/ROW]
[ROW][C]44[/C][C]44.42[/C][C]44.4000006612007[/C][C]0.0199993387992663[/C][/ROW]
[ROW][C]45[/C][C]44.49[/C][C]44.4199986779045[/C][C]0.0700013220955142[/C][/ROW]
[ROW][C]46[/C][C]44.46[/C][C]44.4899953724253[/C][C]-0.0299953724253115[/C][/ROW]
[ROW][C]47[/C][C]44.49[/C][C]44.4600019829029[/C][C]0.0299980170970713[/C][/ROW]
[ROW][C]48[/C][C]44.5[/C][C]44.4899980169223[/C][C]0.0100019830777498[/C][/ROW]
[ROW][C]49[/C][C]44.5[/C][C]44.4999993387993[/C][C]6.6120070840725e-07[/C][/ROW]
[ROW][C]50[/C][C]44.5[/C][C]44.4999999999563[/C][C]4.37054836766038e-11[/C][/ROW]
[ROW][C]51[/C][C]44.55[/C][C]44.5[/C][C]0.0499999999999972[/C][/ROW]
[ROW][C]52[/C][C]44.53[/C][C]44.5499966946519[/C][C]-0.0199966946519226[/C][/ROW]
[ROW][C]53[/C][C]44.49[/C][C]44.5300013219207[/C][C]-0.0400013219207196[/C][/ROW]
[ROW][C]54[/C][C]44.49[/C][C]44.4900026443658[/C][C]-2.64436584274108e-06[/C][/ROW]
[ROW][C]55[/C][C]44.62[/C][C]44.4900000001748[/C][C]0.129999999825181[/C][/ROW]
[ROW][C]56[/C][C]44.59[/C][C]44.619991406095[/C][C]-0.0299914060950286[/C][/ROW]
[ROW][C]57[/C][C]44.56[/C][C]44.5900019826407[/C][C]-0.0300019826407194[/C][/ROW]
[ROW][C]58[/C][C]44.57[/C][C]44.5600019833399[/C][C]0.00999801666009148[/C][/ROW]
[ROW][C]59[/C][C]44.04[/C][C]44.5699993390615[/C][C]-0.529999339061497[/C][/ROW]
[ROW][C]60[/C][C]44.06[/C][C]44.0400350366458[/C][C]0.0199649633541839[/C][/ROW]
[ROW][C]61[/C][C]44.07[/C][C]44.0599986801769[/C][C]0.0100013198230613[/C][/ROW]
[ROW][C]62[/C][C]44.1[/C][C]44.0699993388431[/C][C]0.030000661156862[/C][/ROW]
[ROW][C]63[/C][C]44.21[/C][C]44.0999980167475[/C][C]0.110001983252545[/C][/ROW]
[ROW][C]64[/C][C]44.48[/C][C]44.2099927281031[/C][C]0.270007271896851[/C][/ROW]
[ROW][C]65[/C][C]44.51[/C][C]44.4799821506397[/C][C]0.0300178493602843[/C][/ROW]
[ROW][C]66[/C][C]44.24[/C][C]44.5099980156112[/C][C]-0.269998015611193[/C][/ROW]
[ROW][C]67[/C][C]44.25[/C][C]44.2400178487484[/C][C]0.00998215125161295[/C][/ROW]
[ROW][C]68[/C][C]44.27[/C][C]44.2499993401103[/C][C]0.0200006598896891[/C][/ROW]
[ROW][C]69[/C][C]44.45[/C][C]44.2699986778171[/C][C]0.180001322182854[/C][/ROW]
[ROW][C]70[/C][C]44.39[/C][C]44.4499881006596[/C][C]-0.0599881006595524[/C][/ROW]
[ROW][C]71[/C][C]44.23[/C][C]44.3900039656311[/C][C]-0.160003965631056[/C][/ROW]
[ROW][C]72[/C][C]44.23[/C][C]44.230010577376[/C][C]-1.05773759742078e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261679&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261679&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
244.8644.91-0.0499999999999972
344.7644.8600033053481-0.100003305348068
444.8944.76000661091460.129993389085357
544.8944.8899914065328.5934679532329e-06
64544.88999999943190.110000000568093
745.0144.99999272823420.0100072717657866
845.1145.00999933844970.100000661550325
945.0545.1099933892601-0.0599933892601356
1044.6745.0500039659807-0.380003965980663
1144.4844.6700251209075-0.190025120907499
1244.4844.4800125619833-1.25619833255541e-05
1344.4844.4800000008304-8.30439716992259e-10
1444.5844.48000000000010.0999999999999446
1544.7944.57999338930390.210006610696141
1644.7944.78998611710111.38828988909268e-05
1744.4144.7899999990822-0.379999999082251
1844.4144.4100251206453-2.51206452546171e-05
1944.4444.41000000166060.0299999983393491
2044.4344.4399980167913-0.00999801679126477
2144.3644.4300006609385-0.0700006609385113
2244.3944.3600046275310.029995372469017
2344.3944.38999801709711.98290292985348e-06
2444.4144.38999999986890.0200000001310769
2544.3244.4099986778608-0.0899986778607627
2644.4344.32000594953910.109994050460884
2744.8244.42999272862760.39000727137244
2844.9744.81997421780440.150025782195613
2944.9144.9699900822514-0.0599900822514172
3044.7944.910003965762-0.120003965762045
3144.7644.7900079330975-0.0300079330975294
3244.844.76000198373330.0399980162667219
3344.6544.7999973558527-0.149997355852683
3444.4944.6500099158694-0.160009915869402
3544.5644.49001057776930.0699894222306767
3644.444.559995373212-0.15999537321197
3744.4544.4000105768080.0499894231920521
3844.4644.44999669535110.0100033046488619
3944.3944.4599993387119-0.0699993387119306
4044.544.39000462744360.109995372556419
4144.4444.4999927285402-0.0599927285401591
4244.4144.440003965937-0.0300039659369915
4344.444.410001983471-0.0100019834710139
4444.4244.40000066120070.0199993387992663
4544.4944.41999867790450.0700013220955142
4644.4644.4899953724253-0.0299953724253115
4744.4944.46000198290290.0299980170970713
4844.544.48999801692230.0100019830777498
4944.544.49999933879936.6120070840725e-07
5044.544.49999999995634.37054836766038e-11
5144.5544.50.0499999999999972
5244.5344.5499966946519-0.0199966946519226
5344.4944.5300013219207-0.0400013219207196
5444.4944.4900026443658-2.64436584274108e-06
5544.6244.49000000017480.129999999825181
5644.5944.619991406095-0.0299914060950286
5744.5644.5900019826407-0.0300019826407194
5844.5744.56000198333990.00999801666009148
5944.0444.5699993390615-0.529999339061497
6044.0644.04003503664580.0199649633541839
6144.0744.05999868017690.0100013198230613
6244.144.06999933884310.030000661156862
6344.2144.09999801674750.110001983252545
6444.4844.20999272810310.270007271896851
6544.5144.47998215063970.0300178493602843
6644.2444.5099980156112-0.269998015611193
6744.2544.24001784874840.00998215125161295
6844.2744.24999934011030.0200006598896891
6944.4544.26999867781710.180001322182854
7044.3944.4499881006596-0.0599881006595524
7144.2344.3900039656311-0.160003965631056
7244.2344.230010577376-1.05773759742078e-05







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7344.230000000699243.964270688919144.4957293124794
7444.230000000699243.854214425286244.6057855761123
7544.230000000699243.769763615525444.6902363858731
7644.230000000699243.698567726757244.7614322746413
7744.230000000699243.635842619749944.8241573816486
7844.230000000699243.579134634524444.8808653668741
7944.230000000699243.52698616268844.9330138387105
8044.230000000699243.478447482251844.9815525191466
8144.230000000699243.432858909339645.0271410920588
8244.230000000699243.389740129538345.0702598718601
8344.230000000699243.348728542729245.1112714586693
8444.230000000699243.309542443729845.1504575576686

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 44.2300000006992 & 43.9642706889191 & 44.4957293124794 \tabularnewline
74 & 44.2300000006992 & 43.8542144252862 & 44.6057855761123 \tabularnewline
75 & 44.2300000006992 & 43.7697636155254 & 44.6902363858731 \tabularnewline
76 & 44.2300000006992 & 43.6985677267572 & 44.7614322746413 \tabularnewline
77 & 44.2300000006992 & 43.6358426197499 & 44.8241573816486 \tabularnewline
78 & 44.2300000006992 & 43.5791346345244 & 44.8808653668741 \tabularnewline
79 & 44.2300000006992 & 43.526986162688 & 44.9330138387105 \tabularnewline
80 & 44.2300000006992 & 43.4784474822518 & 44.9815525191466 \tabularnewline
81 & 44.2300000006992 & 43.4328589093396 & 45.0271410920588 \tabularnewline
82 & 44.2300000006992 & 43.3897401295383 & 45.0702598718601 \tabularnewline
83 & 44.2300000006992 & 43.3487285427292 & 45.1112714586693 \tabularnewline
84 & 44.2300000006992 & 43.3095424437298 & 45.1504575576686 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261679&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]44.2300000006992[/C][C]43.9642706889191[/C][C]44.4957293124794[/C][/ROW]
[ROW][C]74[/C][C]44.2300000006992[/C][C]43.8542144252862[/C][C]44.6057855761123[/C][/ROW]
[ROW][C]75[/C][C]44.2300000006992[/C][C]43.7697636155254[/C][C]44.6902363858731[/C][/ROW]
[ROW][C]76[/C][C]44.2300000006992[/C][C]43.6985677267572[/C][C]44.7614322746413[/C][/ROW]
[ROW][C]77[/C][C]44.2300000006992[/C][C]43.6358426197499[/C][C]44.8241573816486[/C][/ROW]
[ROW][C]78[/C][C]44.2300000006992[/C][C]43.5791346345244[/C][C]44.8808653668741[/C][/ROW]
[ROW][C]79[/C][C]44.2300000006992[/C][C]43.526986162688[/C][C]44.9330138387105[/C][/ROW]
[ROW][C]80[/C][C]44.2300000006992[/C][C]43.4784474822518[/C][C]44.9815525191466[/C][/ROW]
[ROW][C]81[/C][C]44.2300000006992[/C][C]43.4328589093396[/C][C]45.0271410920588[/C][/ROW]
[ROW][C]82[/C][C]44.2300000006992[/C][C]43.3897401295383[/C][C]45.0702598718601[/C][/ROW]
[ROW][C]83[/C][C]44.2300000006992[/C][C]43.3487285427292[/C][C]45.1112714586693[/C][/ROW]
[ROW][C]84[/C][C]44.2300000006992[/C][C]43.3095424437298[/C][C]45.1504575576686[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261679&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261679&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
7344.230000000699243.964270688919144.4957293124794
7444.230000000699243.854214425286244.6057855761123
7544.230000000699243.769763615525444.6902363858731
7644.230000000699243.698567726757244.7614322746413
7744.230000000699243.635842619749944.8241573816486
7844.230000000699243.579134634524444.8808653668741
7944.230000000699243.52698616268844.9330138387105
8044.230000000699243.478447482251844.9815525191466
8144.230000000699243.432858909339645.0271410920588
8244.230000000699243.389740129538345.0702598718601
8344.230000000699243.348728542729245.1112714586693
8444.230000000699243.309542443729845.1504575576686



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = multiplicative ;
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')