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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 computationTue, 15 Jan 2013 07:01:31 -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/2013/Jan/15/t1358251308f70yzkat7mfyatw.htm/, Retrieved Sun, 28 Apr 2024 02:43:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205440, Retrieved Sun, 28 Apr 2024 02:43:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Mean Plot] [Inschrijvingen ni...] [2011-10-21 07:31:31] [102faec22d2a25d9aaa52ca244269a51]
- RMPD    [Exponential Smoothing] [] [2013-01-15 12:01:31] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
0,51
0,50
0,47
0,47
0,44
0,43
0,45
0,46
0,46
0,45
0,45
0,45
0,44
0,43
0,45
0,45
0,44
0,47
0,46
0,48
0,49
0,52
0,56
0,58
0,58
0,55
0,55
0,53
0,56
0,57
0,61
0,57
0,59
0,53
0,43
0,38
0,40
0,45
0,40
0,37
0,37
0,40
0,41
0,43
0,45
0,44
0,47
0,47
0,52
0,55
0,54
0,54
0,53
0,52
0,50
0,50
0,53
0,54
0,59
0,66
0,67
0,61
0,62
0,65
0,63
0,58
0,60
0,60
0,61
0,61
0,59
0,60




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205440&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205440&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205440&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999954828396838
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999954828396838 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205440&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]0.999954828396838[/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=205440&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205440&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
alpha0.999954828396838
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
20.50.51-0.01
30.470.500000451716032-0.0300004517160316
40.470.4700013551685-1.35516849958384e-06
50.440.470000000061215-0.0300000000612151
60.430.440001355148098-0.0100013551480976
70.450.4300004517772460.0199995482227542
80.460.4499990965883440.0100009034116558
90.460.459999548243164.51756840158524e-07
100.450.459999999979593-0.00999999997959344
110.450.450000451716031-4.51716030691607e-07
120.450.450000000020405-2.04047334584345e-11
130.440.450000000000001-0.010000000000001
140.430.440000451716032-0.0100004517160316
150.450.4300004517364360.0199995482635636
160.450.4499990965883429.03411657593445e-07
170.440.449999999959191-0.00999999995919143
180.470.440000451716030.0299995482839702
190.460.46999864487231-0.00999864487230984
200.480.4600004516548180.0199995483451816
210.490.4799990965883390.0100009034116613
220.520.489999548243160.0300004517568402
230.560.5199986448314990.0400013551685015
240.580.5599981930746580.0200018069253415
250.580.5799990964863159.03513684979984e-07
260.550.579999999959187-0.0299999999591868
270.550.550001355148093-1.35514809307402e-06
280.530.550000000061214-0.0200000000612143
290.560.5300009034320660.029999096567934
300.570.5599986448927150.0100013551072853
310.610.5699995482227560.040000451777244
320.570.609998193115466-0.039998193115466
330.590.5700018067825070.0199981932174934
340.530.589999096649552-0.0599990966495519
350.430.530002710255384-0.100002710255384
360.380.430004517282743-0.0500045172827428
370.40.3800022587842110.019997741215789
380.450.399999096669970.0500009033300303
390.40.449997741379037-0.049997741379037
400.370.400002258478133-0.0300022584781326
410.370.370001355250114-1.35525011396576e-06
420.40.3700000000612190.0299999999387812
430.410.3999986448519080.010001355148092
440.430.4099995482227540.0200004517772459
450.450.4299990965475290.0200009034524707
460.440.449999096527126-0.00999909652712638
470.470.440000451675220.0299995483247797
480.470.4699986448723081.35512769194879e-06
490.520.4699999999387870.0500000000612134
500.550.5199977414198390.0300022585801609
510.540.549998644749881-0.00999864474988144
520.540.540000451654813-4.51654812771984e-07
530.530.540000000020402-0.010000000020402
540.520.530000451716033-0.0100004517160326
550.50.520000451736436-0.0200004517364364
560.50.500000903452469-9.03452468947741e-07
570.530.500000000040810.0299999999591897
580.540.5299986448519070.0100013551480931
590.590.5399995482227540.0500004517772458
600.660.5899977413994340.0700022586005656
610.670.6599968378857540.010003162114246
620.610.669999548141131-0.0599995481411306
630.620.6100027102757790.00999728972422143
640.650.6199995484063960.0300004515936041
650.630.649998644831506-0.0199986448315059
660.580.630000903370848-0.0500009033708482
670.60.5800022586209650.0199977413790352
680.60.5999990966699629.0333003766041e-07
690.610.5999999999591950.0100000000408049
700.610.6099995482839674.51716033467164e-07
710.590.609999999979595-0.0199999999795952
720.60.5900009034320620.00999909656793774

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 0.5 & 0.51 & -0.01 \tabularnewline
3 & 0.47 & 0.500000451716032 & -0.0300004517160316 \tabularnewline
4 & 0.47 & 0.4700013551685 & -1.35516849958384e-06 \tabularnewline
5 & 0.44 & 0.470000000061215 & -0.0300000000612151 \tabularnewline
6 & 0.43 & 0.440001355148098 & -0.0100013551480976 \tabularnewline
7 & 0.45 & 0.430000451777246 & 0.0199995482227542 \tabularnewline
8 & 0.46 & 0.449999096588344 & 0.0100009034116558 \tabularnewline
9 & 0.46 & 0.45999954824316 & 4.51756840158524e-07 \tabularnewline
10 & 0.45 & 0.459999999979593 & -0.00999999997959344 \tabularnewline
11 & 0.45 & 0.450000451716031 & -4.51716030691607e-07 \tabularnewline
12 & 0.45 & 0.450000000020405 & -2.04047334584345e-11 \tabularnewline
13 & 0.44 & 0.450000000000001 & -0.010000000000001 \tabularnewline
14 & 0.43 & 0.440000451716032 & -0.0100004517160316 \tabularnewline
15 & 0.45 & 0.430000451736436 & 0.0199995482635636 \tabularnewline
16 & 0.45 & 0.449999096588342 & 9.03411657593445e-07 \tabularnewline
17 & 0.44 & 0.449999999959191 & -0.00999999995919143 \tabularnewline
18 & 0.47 & 0.44000045171603 & 0.0299995482839702 \tabularnewline
19 & 0.46 & 0.46999864487231 & -0.00999864487230984 \tabularnewline
20 & 0.48 & 0.460000451654818 & 0.0199995483451816 \tabularnewline
21 & 0.49 & 0.479999096588339 & 0.0100009034116613 \tabularnewline
22 & 0.52 & 0.48999954824316 & 0.0300004517568402 \tabularnewline
23 & 0.56 & 0.519998644831499 & 0.0400013551685015 \tabularnewline
24 & 0.58 & 0.559998193074658 & 0.0200018069253415 \tabularnewline
25 & 0.58 & 0.579999096486315 & 9.03513684979984e-07 \tabularnewline
26 & 0.55 & 0.579999999959187 & -0.0299999999591868 \tabularnewline
27 & 0.55 & 0.550001355148093 & -1.35514809307402e-06 \tabularnewline
28 & 0.53 & 0.550000000061214 & -0.0200000000612143 \tabularnewline
29 & 0.56 & 0.530000903432066 & 0.029999096567934 \tabularnewline
30 & 0.57 & 0.559998644892715 & 0.0100013551072853 \tabularnewline
31 & 0.61 & 0.569999548222756 & 0.040000451777244 \tabularnewline
32 & 0.57 & 0.609998193115466 & -0.039998193115466 \tabularnewline
33 & 0.59 & 0.570001806782507 & 0.0199981932174934 \tabularnewline
34 & 0.53 & 0.589999096649552 & -0.0599990966495519 \tabularnewline
35 & 0.43 & 0.530002710255384 & -0.100002710255384 \tabularnewline
36 & 0.38 & 0.430004517282743 & -0.0500045172827428 \tabularnewline
37 & 0.4 & 0.380002258784211 & 0.019997741215789 \tabularnewline
38 & 0.45 & 0.39999909666997 & 0.0500009033300303 \tabularnewline
39 & 0.4 & 0.449997741379037 & -0.049997741379037 \tabularnewline
40 & 0.37 & 0.400002258478133 & -0.0300022584781326 \tabularnewline
41 & 0.37 & 0.370001355250114 & -1.35525011396576e-06 \tabularnewline
42 & 0.4 & 0.370000000061219 & 0.0299999999387812 \tabularnewline
43 & 0.41 & 0.399998644851908 & 0.010001355148092 \tabularnewline
44 & 0.43 & 0.409999548222754 & 0.0200004517772459 \tabularnewline
45 & 0.45 & 0.429999096547529 & 0.0200009034524707 \tabularnewline
46 & 0.44 & 0.449999096527126 & -0.00999909652712638 \tabularnewline
47 & 0.47 & 0.44000045167522 & 0.0299995483247797 \tabularnewline
48 & 0.47 & 0.469998644872308 & 1.35512769194879e-06 \tabularnewline
49 & 0.52 & 0.469999999938787 & 0.0500000000612134 \tabularnewline
50 & 0.55 & 0.519997741419839 & 0.0300022585801609 \tabularnewline
51 & 0.54 & 0.549998644749881 & -0.00999864474988144 \tabularnewline
52 & 0.54 & 0.540000451654813 & -4.51654812771984e-07 \tabularnewline
53 & 0.53 & 0.540000000020402 & -0.010000000020402 \tabularnewline
54 & 0.52 & 0.530000451716033 & -0.0100004517160326 \tabularnewline
55 & 0.5 & 0.520000451736436 & -0.0200004517364364 \tabularnewline
56 & 0.5 & 0.500000903452469 & -9.03452468947741e-07 \tabularnewline
57 & 0.53 & 0.50000000004081 & 0.0299999999591897 \tabularnewline
58 & 0.54 & 0.529998644851907 & 0.0100013551480931 \tabularnewline
59 & 0.59 & 0.539999548222754 & 0.0500004517772458 \tabularnewline
60 & 0.66 & 0.589997741399434 & 0.0700022586005656 \tabularnewline
61 & 0.67 & 0.659996837885754 & 0.010003162114246 \tabularnewline
62 & 0.61 & 0.669999548141131 & -0.0599995481411306 \tabularnewline
63 & 0.62 & 0.610002710275779 & 0.00999728972422143 \tabularnewline
64 & 0.65 & 0.619999548406396 & 0.0300004515936041 \tabularnewline
65 & 0.63 & 0.649998644831506 & -0.0199986448315059 \tabularnewline
66 & 0.58 & 0.630000903370848 & -0.0500009033708482 \tabularnewline
67 & 0.6 & 0.580002258620965 & 0.0199977413790352 \tabularnewline
68 & 0.6 & 0.599999096669962 & 9.0333003766041e-07 \tabularnewline
69 & 0.61 & 0.599999999959195 & 0.0100000000408049 \tabularnewline
70 & 0.61 & 0.609999548283967 & 4.51716033467164e-07 \tabularnewline
71 & 0.59 & 0.609999999979595 & -0.0199999999795952 \tabularnewline
72 & 0.6 & 0.590000903432062 & 0.00999909656793774 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205440&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]0.5[/C][C]0.51[/C][C]-0.01[/C][/ROW]
[ROW][C]3[/C][C]0.47[/C][C]0.500000451716032[/C][C]-0.0300004517160316[/C][/ROW]
[ROW][C]4[/C][C]0.47[/C][C]0.4700013551685[/C][C]-1.35516849958384e-06[/C][/ROW]
[ROW][C]5[/C][C]0.44[/C][C]0.470000000061215[/C][C]-0.0300000000612151[/C][/ROW]
[ROW][C]6[/C][C]0.43[/C][C]0.440001355148098[/C][C]-0.0100013551480976[/C][/ROW]
[ROW][C]7[/C][C]0.45[/C][C]0.430000451777246[/C][C]0.0199995482227542[/C][/ROW]
[ROW][C]8[/C][C]0.46[/C][C]0.449999096588344[/C][C]0.0100009034116558[/C][/ROW]
[ROW][C]9[/C][C]0.46[/C][C]0.45999954824316[/C][C]4.51756840158524e-07[/C][/ROW]
[ROW][C]10[/C][C]0.45[/C][C]0.459999999979593[/C][C]-0.00999999997959344[/C][/ROW]
[ROW][C]11[/C][C]0.45[/C][C]0.450000451716031[/C][C]-4.51716030691607e-07[/C][/ROW]
[ROW][C]12[/C][C]0.45[/C][C]0.450000000020405[/C][C]-2.04047334584345e-11[/C][/ROW]
[ROW][C]13[/C][C]0.44[/C][C]0.450000000000001[/C][C]-0.010000000000001[/C][/ROW]
[ROW][C]14[/C][C]0.43[/C][C]0.440000451716032[/C][C]-0.0100004517160316[/C][/ROW]
[ROW][C]15[/C][C]0.45[/C][C]0.430000451736436[/C][C]0.0199995482635636[/C][/ROW]
[ROW][C]16[/C][C]0.45[/C][C]0.449999096588342[/C][C]9.03411657593445e-07[/C][/ROW]
[ROW][C]17[/C][C]0.44[/C][C]0.449999999959191[/C][C]-0.00999999995919143[/C][/ROW]
[ROW][C]18[/C][C]0.47[/C][C]0.44000045171603[/C][C]0.0299995482839702[/C][/ROW]
[ROW][C]19[/C][C]0.46[/C][C]0.46999864487231[/C][C]-0.00999864487230984[/C][/ROW]
[ROW][C]20[/C][C]0.48[/C][C]0.460000451654818[/C][C]0.0199995483451816[/C][/ROW]
[ROW][C]21[/C][C]0.49[/C][C]0.479999096588339[/C][C]0.0100009034116613[/C][/ROW]
[ROW][C]22[/C][C]0.52[/C][C]0.48999954824316[/C][C]0.0300004517568402[/C][/ROW]
[ROW][C]23[/C][C]0.56[/C][C]0.519998644831499[/C][C]0.0400013551685015[/C][/ROW]
[ROW][C]24[/C][C]0.58[/C][C]0.559998193074658[/C][C]0.0200018069253415[/C][/ROW]
[ROW][C]25[/C][C]0.58[/C][C]0.579999096486315[/C][C]9.03513684979984e-07[/C][/ROW]
[ROW][C]26[/C][C]0.55[/C][C]0.579999999959187[/C][C]-0.0299999999591868[/C][/ROW]
[ROW][C]27[/C][C]0.55[/C][C]0.550001355148093[/C][C]-1.35514809307402e-06[/C][/ROW]
[ROW][C]28[/C][C]0.53[/C][C]0.550000000061214[/C][C]-0.0200000000612143[/C][/ROW]
[ROW][C]29[/C][C]0.56[/C][C]0.530000903432066[/C][C]0.029999096567934[/C][/ROW]
[ROW][C]30[/C][C]0.57[/C][C]0.559998644892715[/C][C]0.0100013551072853[/C][/ROW]
[ROW][C]31[/C][C]0.61[/C][C]0.569999548222756[/C][C]0.040000451777244[/C][/ROW]
[ROW][C]32[/C][C]0.57[/C][C]0.609998193115466[/C][C]-0.039998193115466[/C][/ROW]
[ROW][C]33[/C][C]0.59[/C][C]0.570001806782507[/C][C]0.0199981932174934[/C][/ROW]
[ROW][C]34[/C][C]0.53[/C][C]0.589999096649552[/C][C]-0.0599990966495519[/C][/ROW]
[ROW][C]35[/C][C]0.43[/C][C]0.530002710255384[/C][C]-0.100002710255384[/C][/ROW]
[ROW][C]36[/C][C]0.38[/C][C]0.430004517282743[/C][C]-0.0500045172827428[/C][/ROW]
[ROW][C]37[/C][C]0.4[/C][C]0.380002258784211[/C][C]0.019997741215789[/C][/ROW]
[ROW][C]38[/C][C]0.45[/C][C]0.39999909666997[/C][C]0.0500009033300303[/C][/ROW]
[ROW][C]39[/C][C]0.4[/C][C]0.449997741379037[/C][C]-0.049997741379037[/C][/ROW]
[ROW][C]40[/C][C]0.37[/C][C]0.400002258478133[/C][C]-0.0300022584781326[/C][/ROW]
[ROW][C]41[/C][C]0.37[/C][C]0.370001355250114[/C][C]-1.35525011396576e-06[/C][/ROW]
[ROW][C]42[/C][C]0.4[/C][C]0.370000000061219[/C][C]0.0299999999387812[/C][/ROW]
[ROW][C]43[/C][C]0.41[/C][C]0.399998644851908[/C][C]0.010001355148092[/C][/ROW]
[ROW][C]44[/C][C]0.43[/C][C]0.409999548222754[/C][C]0.0200004517772459[/C][/ROW]
[ROW][C]45[/C][C]0.45[/C][C]0.429999096547529[/C][C]0.0200009034524707[/C][/ROW]
[ROW][C]46[/C][C]0.44[/C][C]0.449999096527126[/C][C]-0.00999909652712638[/C][/ROW]
[ROW][C]47[/C][C]0.47[/C][C]0.44000045167522[/C][C]0.0299995483247797[/C][/ROW]
[ROW][C]48[/C][C]0.47[/C][C]0.469998644872308[/C][C]1.35512769194879e-06[/C][/ROW]
[ROW][C]49[/C][C]0.52[/C][C]0.469999999938787[/C][C]0.0500000000612134[/C][/ROW]
[ROW][C]50[/C][C]0.55[/C][C]0.519997741419839[/C][C]0.0300022585801609[/C][/ROW]
[ROW][C]51[/C][C]0.54[/C][C]0.549998644749881[/C][C]-0.00999864474988144[/C][/ROW]
[ROW][C]52[/C][C]0.54[/C][C]0.540000451654813[/C][C]-4.51654812771984e-07[/C][/ROW]
[ROW][C]53[/C][C]0.53[/C][C]0.540000000020402[/C][C]-0.010000000020402[/C][/ROW]
[ROW][C]54[/C][C]0.52[/C][C]0.530000451716033[/C][C]-0.0100004517160326[/C][/ROW]
[ROW][C]55[/C][C]0.5[/C][C]0.520000451736436[/C][C]-0.0200004517364364[/C][/ROW]
[ROW][C]56[/C][C]0.5[/C][C]0.500000903452469[/C][C]-9.03452468947741e-07[/C][/ROW]
[ROW][C]57[/C][C]0.53[/C][C]0.50000000004081[/C][C]0.0299999999591897[/C][/ROW]
[ROW][C]58[/C][C]0.54[/C][C]0.529998644851907[/C][C]0.0100013551480931[/C][/ROW]
[ROW][C]59[/C][C]0.59[/C][C]0.539999548222754[/C][C]0.0500004517772458[/C][/ROW]
[ROW][C]60[/C][C]0.66[/C][C]0.589997741399434[/C][C]0.0700022586005656[/C][/ROW]
[ROW][C]61[/C][C]0.67[/C][C]0.659996837885754[/C][C]0.010003162114246[/C][/ROW]
[ROW][C]62[/C][C]0.61[/C][C]0.669999548141131[/C][C]-0.0599995481411306[/C][/ROW]
[ROW][C]63[/C][C]0.62[/C][C]0.610002710275779[/C][C]0.00999728972422143[/C][/ROW]
[ROW][C]64[/C][C]0.65[/C][C]0.619999548406396[/C][C]0.0300004515936041[/C][/ROW]
[ROW][C]65[/C][C]0.63[/C][C]0.649998644831506[/C][C]-0.0199986448315059[/C][/ROW]
[ROW][C]66[/C][C]0.58[/C][C]0.630000903370848[/C][C]-0.0500009033708482[/C][/ROW]
[ROW][C]67[/C][C]0.6[/C][C]0.580002258620965[/C][C]0.0199977413790352[/C][/ROW]
[ROW][C]68[/C][C]0.6[/C][C]0.599999096669962[/C][C]9.0333003766041e-07[/C][/ROW]
[ROW][C]69[/C][C]0.61[/C][C]0.599999999959195[/C][C]0.0100000000408049[/C][/ROW]
[ROW][C]70[/C][C]0.61[/C][C]0.609999548283967[/C][C]4.51716033467164e-07[/C][/ROW]
[ROW][C]71[/C][C]0.59[/C][C]0.609999999979595[/C][C]-0.0199999999795952[/C][/ROW]
[ROW][C]72[/C][C]0.6[/C][C]0.590000903432062[/C][C]0.00999909656793774[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205440&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205440&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
20.50.51-0.01
30.470.500000451716032-0.0300004517160316
40.470.4700013551685-1.35516849958384e-06
50.440.470000000061215-0.0300000000612151
60.430.440001355148098-0.0100013551480976
70.450.4300004517772460.0199995482227542
80.460.4499990965883440.0100009034116558
90.460.459999548243164.51756840158524e-07
100.450.459999999979593-0.00999999997959344
110.450.450000451716031-4.51716030691607e-07
120.450.450000000020405-2.04047334584345e-11
130.440.450000000000001-0.010000000000001
140.430.440000451716032-0.0100004517160316
150.450.4300004517364360.0199995482635636
160.450.4499990965883429.03411657593445e-07
170.440.449999999959191-0.00999999995919143
180.470.440000451716030.0299995482839702
190.460.46999864487231-0.00999864487230984
200.480.4600004516548180.0199995483451816
210.490.4799990965883390.0100009034116613
220.520.489999548243160.0300004517568402
230.560.5199986448314990.0400013551685015
240.580.5599981930746580.0200018069253415
250.580.5799990964863159.03513684979984e-07
260.550.579999999959187-0.0299999999591868
270.550.550001355148093-1.35514809307402e-06
280.530.550000000061214-0.0200000000612143
290.560.5300009034320660.029999096567934
300.570.5599986448927150.0100013551072853
310.610.5699995482227560.040000451777244
320.570.609998193115466-0.039998193115466
330.590.5700018067825070.0199981932174934
340.530.589999096649552-0.0599990966495519
350.430.530002710255384-0.100002710255384
360.380.430004517282743-0.0500045172827428
370.40.3800022587842110.019997741215789
380.450.399999096669970.0500009033300303
390.40.449997741379037-0.049997741379037
400.370.400002258478133-0.0300022584781326
410.370.370001355250114-1.35525011396576e-06
420.40.3700000000612190.0299999999387812
430.410.3999986448519080.010001355148092
440.430.4099995482227540.0200004517772459
450.450.4299990965475290.0200009034524707
460.440.449999096527126-0.00999909652712638
470.470.440000451675220.0299995483247797
480.470.4699986448723081.35512769194879e-06
490.520.4699999999387870.0500000000612134
500.550.5199977414198390.0300022585801609
510.540.549998644749881-0.00999864474988144
520.540.540000451654813-4.51654812771984e-07
530.530.540000000020402-0.010000000020402
540.520.530000451716033-0.0100004517160326
550.50.520000451736436-0.0200004517364364
560.50.500000903452469-9.03452468947741e-07
570.530.500000000040810.0299999999591897
580.540.5299986448519070.0100013551480931
590.590.5399995482227540.0500004517772458
600.660.5899977413994340.0700022586005656
610.670.6599968378857540.010003162114246
620.610.669999548141131-0.0599995481411306
630.620.6100027102757790.00999728972422143
640.650.6199995484063960.0300004515936041
650.630.649998644831506-0.0199986448315059
660.580.630000903370848-0.0500009033708482
670.60.5800022586209650.0199977413790352
680.60.5999990966699629.0333003766041e-07
690.610.5999999999591950.0100000000408049
700.610.6099995482839674.51716033467164e-07
710.590.609999999979595-0.0199999999795952
720.60.5900009034320620.00999909656793774







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
730.5999995483247780.5427195441329910.657279552516565
740.5999995483247780.5189952191123320.681003877537224
750.5999995483247780.5007906584907230.699208438158832
760.5999995483247780.4854434210637150.71455567558584
770.5999995483247780.4719221937143710.728076902935185
780.5999995483247780.4596980471391270.740301049510428
790.5999995483247780.4484567698564710.751542326793085
800.5999995483247780.4379936343066730.762005462342882
810.5999995483247780.4281664355444160.77183266110514
820.5999995483247780.4188716346318970.781127462017659
830.5999995483247780.4100310678084480.789968028841107
840.5999995483247780.4015840094659720.798415087183584

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 0.599999548324778 & 0.542719544132991 & 0.657279552516565 \tabularnewline
74 & 0.599999548324778 & 0.518995219112332 & 0.681003877537224 \tabularnewline
75 & 0.599999548324778 & 0.500790658490723 & 0.699208438158832 \tabularnewline
76 & 0.599999548324778 & 0.485443421063715 & 0.71455567558584 \tabularnewline
77 & 0.599999548324778 & 0.471922193714371 & 0.728076902935185 \tabularnewline
78 & 0.599999548324778 & 0.459698047139127 & 0.740301049510428 \tabularnewline
79 & 0.599999548324778 & 0.448456769856471 & 0.751542326793085 \tabularnewline
80 & 0.599999548324778 & 0.437993634306673 & 0.762005462342882 \tabularnewline
81 & 0.599999548324778 & 0.428166435544416 & 0.77183266110514 \tabularnewline
82 & 0.599999548324778 & 0.418871634631897 & 0.781127462017659 \tabularnewline
83 & 0.599999548324778 & 0.410031067808448 & 0.789968028841107 \tabularnewline
84 & 0.599999548324778 & 0.401584009465972 & 0.798415087183584 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205440&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]0.599999548324778[/C][C]0.542719544132991[/C][C]0.657279552516565[/C][/ROW]
[ROW][C]74[/C][C]0.599999548324778[/C][C]0.518995219112332[/C][C]0.681003877537224[/C][/ROW]
[ROW][C]75[/C][C]0.599999548324778[/C][C]0.500790658490723[/C][C]0.699208438158832[/C][/ROW]
[ROW][C]76[/C][C]0.599999548324778[/C][C]0.485443421063715[/C][C]0.71455567558584[/C][/ROW]
[ROW][C]77[/C][C]0.599999548324778[/C][C]0.471922193714371[/C][C]0.728076902935185[/C][/ROW]
[ROW][C]78[/C][C]0.599999548324778[/C][C]0.459698047139127[/C][C]0.740301049510428[/C][/ROW]
[ROW][C]79[/C][C]0.599999548324778[/C][C]0.448456769856471[/C][C]0.751542326793085[/C][/ROW]
[ROW][C]80[/C][C]0.599999548324778[/C][C]0.437993634306673[/C][C]0.762005462342882[/C][/ROW]
[ROW][C]81[/C][C]0.599999548324778[/C][C]0.428166435544416[/C][C]0.77183266110514[/C][/ROW]
[ROW][C]82[/C][C]0.599999548324778[/C][C]0.418871634631897[/C][C]0.781127462017659[/C][/ROW]
[ROW][C]83[/C][C]0.599999548324778[/C][C]0.410031067808448[/C][C]0.789968028841107[/C][/ROW]
[ROW][C]84[/C][C]0.599999548324778[/C][C]0.401584009465972[/C][C]0.798415087183584[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205440&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205440&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
730.5999995483247780.5427195441329910.657279552516565
740.5999995483247780.5189952191123320.681003877537224
750.5999995483247780.5007906584907230.699208438158832
760.5999995483247780.4854434210637150.71455567558584
770.5999995483247780.4719221937143710.728076902935185
780.5999995483247780.4596980471391270.740301049510428
790.5999995483247780.4484567698564710.751542326793085
800.5999995483247780.4379936343066730.762005462342882
810.5999995483247780.4281664355444160.77183266110514
820.5999995483247780.4188716346318970.781127462017659
830.5999995483247780.4100310678084480.789968028841107
840.5999995483247780.4015840094659720.798415087183584



Parameters (Session):
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')