Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 07 Jan 2014 06:10:11 -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/2014/Jan/07/t1389093046s8yy7q1d811ocif.htm/, Retrieved Sun, 19 May 2024 05:43:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232793, Retrieved Sun, 19 May 2024 05:43:18 +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] [] [2014-01-07 11:10:11] [5a94ebd483a44bd494e9b6ff8c23b38b] [Current]
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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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232793&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232793&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232793&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.752852073905999
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.752852073905999 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232793&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]0.752852073905999[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232793&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232793&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
alpha0.752852073905999
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
130.730.7295993589743590.00040064102564108
140.750.750504129254552-0.000504129254551566
150.690.690311074686226-0.000311074686226043
160.650.650263361650042-0.000263361650041483
170.640.640668236138767-0.00066823613876732
180.640.641184966695651-0.00118496669565082
190.640.650896008914468-0.0108960089144675
200.640.6382960728590590.0017039271409407
210.650.6364320247940480.0135679752059521
220.650.656416516586368-0.00641651658636766
230.670.672188975620215-0.00218897562021525
240.70.711144147637953-0.0111441476379535
250.690.713456417428548-0.0234564174285476
260.70.716176739675866-0.0161767396758665
270.710.6442322408845180.0657677591154822
280.690.653943907095180.0360560929048201
290.690.6715918943784510.018408105621549
300.690.6863425795066450.00365742049335482
310.690.697299159018769-0.00729915901876876
320.690.690521166931877-0.000521166931877204
330.70.6899141270538560.010085872946144
340.70.702337985237812-0.00233798523781203
350.70.722225803038172-0.0222258030381723
360.740.743882955787806-0.00388295578780584
370.720.748618876977558-0.0286188769775578
380.740.749251788106156-0.00925178810615634
390.690.702773166396857-0.0127731663968569
400.660.6460119572642950.0139880427357045
410.660.6426843037538930.0173156962461075
420.660.6529669649803320.00703303501966768
430.660.663756986985792-0.0037569869857923
440.660.661320893147416-0.00132089314741579
450.660.662733285637319-0.00273328563731867
460.670.6624356829117340.00756431708826577
470.70.6848632366308320.0151367633691679
480.720.739182271643269-0.0191822716432695
490.710.726286639539821-0.0162866395398208
500.70.740990437048366-0.0409904370483659
510.710.669747006318410.0402529936815896
520.670.6595206291090590.0104793708909408
530.70.6543738873875260.0456261126124741
540.690.6834287658916850.00657123410831462
550.690.691204388562143-0.00120438856214344
560.690.691292099280785-0.00129209928078533
570.690.692377099418186-0.00237709941818642
580.690.694892683383741-0.0048926833837406
590.710.7098134728566240.000186527143376414
600.750.7443953131922180.00560468680778203
610.740.750876243633564-0.0108762436335638
620.750.763547776599904-0.0135477765999039
630.720.733043755115741-0.0130437551157413
640.640.675334320916859-0.0353343209168586
650.650.6443830906299720.00561690937002834
660.640.6336646252715730.00633537472842705
670.640.6393409517016390.00065904829836072
680.640.640809877203096-0.00080987720309611
690.640.641989763697998-0.00198976369799841
700.650.6441752328037920.00582476719620806
710.660.668419993520746-0.00841999352074607
720.70.6978614838495450.00213851615045479
730.680.697659672744332-0.0176596727443319
740.690.704564023204313-0.0145640232043134
750.680.6734194862209390.00658051377906144
760.670.6249751564491890.0450248435508108
770.680.6646435014255430.0153564985744575
780.680.6614350732219890.0185649267780107
790.680.6749155509705030.00508444902949745
800.680.6793531066989890.000646893301010865
810.680.681338119388872-0.00133811938887196
820.70.6859455253681410.0140544746318588
830.690.712865475326764-0.0228654753267641
840.750.7340411684872120.0159588315127882

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 0.73 & 0.729599358974359 & 0.00040064102564108 \tabularnewline
14 & 0.75 & 0.750504129254552 & -0.000504129254551566 \tabularnewline
15 & 0.69 & 0.690311074686226 & -0.000311074686226043 \tabularnewline
16 & 0.65 & 0.650263361650042 & -0.000263361650041483 \tabularnewline
17 & 0.64 & 0.640668236138767 & -0.00066823613876732 \tabularnewline
18 & 0.64 & 0.641184966695651 & -0.00118496669565082 \tabularnewline
19 & 0.64 & 0.650896008914468 & -0.0108960089144675 \tabularnewline
20 & 0.64 & 0.638296072859059 & 0.0017039271409407 \tabularnewline
21 & 0.65 & 0.636432024794048 & 0.0135679752059521 \tabularnewline
22 & 0.65 & 0.656416516586368 & -0.00641651658636766 \tabularnewline
23 & 0.67 & 0.672188975620215 & -0.00218897562021525 \tabularnewline
24 & 0.7 & 0.711144147637953 & -0.0111441476379535 \tabularnewline
25 & 0.69 & 0.713456417428548 & -0.0234564174285476 \tabularnewline
26 & 0.7 & 0.716176739675866 & -0.0161767396758665 \tabularnewline
27 & 0.71 & 0.644232240884518 & 0.0657677591154822 \tabularnewline
28 & 0.69 & 0.65394390709518 & 0.0360560929048201 \tabularnewline
29 & 0.69 & 0.671591894378451 & 0.018408105621549 \tabularnewline
30 & 0.69 & 0.686342579506645 & 0.00365742049335482 \tabularnewline
31 & 0.69 & 0.697299159018769 & -0.00729915901876876 \tabularnewline
32 & 0.69 & 0.690521166931877 & -0.000521166931877204 \tabularnewline
33 & 0.7 & 0.689914127053856 & 0.010085872946144 \tabularnewline
34 & 0.7 & 0.702337985237812 & -0.00233798523781203 \tabularnewline
35 & 0.7 & 0.722225803038172 & -0.0222258030381723 \tabularnewline
36 & 0.74 & 0.743882955787806 & -0.00388295578780584 \tabularnewline
37 & 0.72 & 0.748618876977558 & -0.0286188769775578 \tabularnewline
38 & 0.74 & 0.749251788106156 & -0.00925178810615634 \tabularnewline
39 & 0.69 & 0.702773166396857 & -0.0127731663968569 \tabularnewline
40 & 0.66 & 0.646011957264295 & 0.0139880427357045 \tabularnewline
41 & 0.66 & 0.642684303753893 & 0.0173156962461075 \tabularnewline
42 & 0.66 & 0.652966964980332 & 0.00703303501966768 \tabularnewline
43 & 0.66 & 0.663756986985792 & -0.0037569869857923 \tabularnewline
44 & 0.66 & 0.661320893147416 & -0.00132089314741579 \tabularnewline
45 & 0.66 & 0.662733285637319 & -0.00273328563731867 \tabularnewline
46 & 0.67 & 0.662435682911734 & 0.00756431708826577 \tabularnewline
47 & 0.7 & 0.684863236630832 & 0.0151367633691679 \tabularnewline
48 & 0.72 & 0.739182271643269 & -0.0191822716432695 \tabularnewline
49 & 0.71 & 0.726286639539821 & -0.0162866395398208 \tabularnewline
50 & 0.7 & 0.740990437048366 & -0.0409904370483659 \tabularnewline
51 & 0.71 & 0.66974700631841 & 0.0402529936815896 \tabularnewline
52 & 0.67 & 0.659520629109059 & 0.0104793708909408 \tabularnewline
53 & 0.7 & 0.654373887387526 & 0.0456261126124741 \tabularnewline
54 & 0.69 & 0.683428765891685 & 0.00657123410831462 \tabularnewline
55 & 0.69 & 0.691204388562143 & -0.00120438856214344 \tabularnewline
56 & 0.69 & 0.691292099280785 & -0.00129209928078533 \tabularnewline
57 & 0.69 & 0.692377099418186 & -0.00237709941818642 \tabularnewline
58 & 0.69 & 0.694892683383741 & -0.0048926833837406 \tabularnewline
59 & 0.71 & 0.709813472856624 & 0.000186527143376414 \tabularnewline
60 & 0.75 & 0.744395313192218 & 0.00560468680778203 \tabularnewline
61 & 0.74 & 0.750876243633564 & -0.0108762436335638 \tabularnewline
62 & 0.75 & 0.763547776599904 & -0.0135477765999039 \tabularnewline
63 & 0.72 & 0.733043755115741 & -0.0130437551157413 \tabularnewline
64 & 0.64 & 0.675334320916859 & -0.0353343209168586 \tabularnewline
65 & 0.65 & 0.644383090629972 & 0.00561690937002834 \tabularnewline
66 & 0.64 & 0.633664625271573 & 0.00633537472842705 \tabularnewline
67 & 0.64 & 0.639340951701639 & 0.00065904829836072 \tabularnewline
68 & 0.64 & 0.640809877203096 & -0.00080987720309611 \tabularnewline
69 & 0.64 & 0.641989763697998 & -0.00198976369799841 \tabularnewline
70 & 0.65 & 0.644175232803792 & 0.00582476719620806 \tabularnewline
71 & 0.66 & 0.668419993520746 & -0.00841999352074607 \tabularnewline
72 & 0.7 & 0.697861483849545 & 0.00213851615045479 \tabularnewline
73 & 0.68 & 0.697659672744332 & -0.0176596727443319 \tabularnewline
74 & 0.69 & 0.704564023204313 & -0.0145640232043134 \tabularnewline
75 & 0.68 & 0.673419486220939 & 0.00658051377906144 \tabularnewline
76 & 0.67 & 0.624975156449189 & 0.0450248435508108 \tabularnewline
77 & 0.68 & 0.664643501425543 & 0.0153564985744575 \tabularnewline
78 & 0.68 & 0.661435073221989 & 0.0185649267780107 \tabularnewline
79 & 0.68 & 0.674915550970503 & 0.00508444902949745 \tabularnewline
80 & 0.68 & 0.679353106698989 & 0.000646893301010865 \tabularnewline
81 & 0.68 & 0.681338119388872 & -0.00133811938887196 \tabularnewline
82 & 0.7 & 0.685945525368141 & 0.0140544746318588 \tabularnewline
83 & 0.69 & 0.712865475326764 & -0.0228654753267641 \tabularnewline
84 & 0.75 & 0.734041168487212 & 0.0159588315127882 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232793&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]13[/C][C]0.73[/C][C]0.729599358974359[/C][C]0.00040064102564108[/C][/ROW]
[ROW][C]14[/C][C]0.75[/C][C]0.750504129254552[/C][C]-0.000504129254551566[/C][/ROW]
[ROW][C]15[/C][C]0.69[/C][C]0.690311074686226[/C][C]-0.000311074686226043[/C][/ROW]
[ROW][C]16[/C][C]0.65[/C][C]0.650263361650042[/C][C]-0.000263361650041483[/C][/ROW]
[ROW][C]17[/C][C]0.64[/C][C]0.640668236138767[/C][C]-0.00066823613876732[/C][/ROW]
[ROW][C]18[/C][C]0.64[/C][C]0.641184966695651[/C][C]-0.00118496669565082[/C][/ROW]
[ROW][C]19[/C][C]0.64[/C][C]0.650896008914468[/C][C]-0.0108960089144675[/C][/ROW]
[ROW][C]20[/C][C]0.64[/C][C]0.638296072859059[/C][C]0.0017039271409407[/C][/ROW]
[ROW][C]21[/C][C]0.65[/C][C]0.636432024794048[/C][C]0.0135679752059521[/C][/ROW]
[ROW][C]22[/C][C]0.65[/C][C]0.656416516586368[/C][C]-0.00641651658636766[/C][/ROW]
[ROW][C]23[/C][C]0.67[/C][C]0.672188975620215[/C][C]-0.00218897562021525[/C][/ROW]
[ROW][C]24[/C][C]0.7[/C][C]0.711144147637953[/C][C]-0.0111441476379535[/C][/ROW]
[ROW][C]25[/C][C]0.69[/C][C]0.713456417428548[/C][C]-0.0234564174285476[/C][/ROW]
[ROW][C]26[/C][C]0.7[/C][C]0.716176739675866[/C][C]-0.0161767396758665[/C][/ROW]
[ROW][C]27[/C][C]0.71[/C][C]0.644232240884518[/C][C]0.0657677591154822[/C][/ROW]
[ROW][C]28[/C][C]0.69[/C][C]0.65394390709518[/C][C]0.0360560929048201[/C][/ROW]
[ROW][C]29[/C][C]0.69[/C][C]0.671591894378451[/C][C]0.018408105621549[/C][/ROW]
[ROW][C]30[/C][C]0.69[/C][C]0.686342579506645[/C][C]0.00365742049335482[/C][/ROW]
[ROW][C]31[/C][C]0.69[/C][C]0.697299159018769[/C][C]-0.00729915901876876[/C][/ROW]
[ROW][C]32[/C][C]0.69[/C][C]0.690521166931877[/C][C]-0.000521166931877204[/C][/ROW]
[ROW][C]33[/C][C]0.7[/C][C]0.689914127053856[/C][C]0.010085872946144[/C][/ROW]
[ROW][C]34[/C][C]0.7[/C][C]0.702337985237812[/C][C]-0.00233798523781203[/C][/ROW]
[ROW][C]35[/C][C]0.7[/C][C]0.722225803038172[/C][C]-0.0222258030381723[/C][/ROW]
[ROW][C]36[/C][C]0.74[/C][C]0.743882955787806[/C][C]-0.00388295578780584[/C][/ROW]
[ROW][C]37[/C][C]0.72[/C][C]0.748618876977558[/C][C]-0.0286188769775578[/C][/ROW]
[ROW][C]38[/C][C]0.74[/C][C]0.749251788106156[/C][C]-0.00925178810615634[/C][/ROW]
[ROW][C]39[/C][C]0.69[/C][C]0.702773166396857[/C][C]-0.0127731663968569[/C][/ROW]
[ROW][C]40[/C][C]0.66[/C][C]0.646011957264295[/C][C]0.0139880427357045[/C][/ROW]
[ROW][C]41[/C][C]0.66[/C][C]0.642684303753893[/C][C]0.0173156962461075[/C][/ROW]
[ROW][C]42[/C][C]0.66[/C][C]0.652966964980332[/C][C]0.00703303501966768[/C][/ROW]
[ROW][C]43[/C][C]0.66[/C][C]0.663756986985792[/C][C]-0.0037569869857923[/C][/ROW]
[ROW][C]44[/C][C]0.66[/C][C]0.661320893147416[/C][C]-0.00132089314741579[/C][/ROW]
[ROW][C]45[/C][C]0.66[/C][C]0.662733285637319[/C][C]-0.00273328563731867[/C][/ROW]
[ROW][C]46[/C][C]0.67[/C][C]0.662435682911734[/C][C]0.00756431708826577[/C][/ROW]
[ROW][C]47[/C][C]0.7[/C][C]0.684863236630832[/C][C]0.0151367633691679[/C][/ROW]
[ROW][C]48[/C][C]0.72[/C][C]0.739182271643269[/C][C]-0.0191822716432695[/C][/ROW]
[ROW][C]49[/C][C]0.71[/C][C]0.726286639539821[/C][C]-0.0162866395398208[/C][/ROW]
[ROW][C]50[/C][C]0.7[/C][C]0.740990437048366[/C][C]-0.0409904370483659[/C][/ROW]
[ROW][C]51[/C][C]0.71[/C][C]0.66974700631841[/C][C]0.0402529936815896[/C][/ROW]
[ROW][C]52[/C][C]0.67[/C][C]0.659520629109059[/C][C]0.0104793708909408[/C][/ROW]
[ROW][C]53[/C][C]0.7[/C][C]0.654373887387526[/C][C]0.0456261126124741[/C][/ROW]
[ROW][C]54[/C][C]0.69[/C][C]0.683428765891685[/C][C]0.00657123410831462[/C][/ROW]
[ROW][C]55[/C][C]0.69[/C][C]0.691204388562143[/C][C]-0.00120438856214344[/C][/ROW]
[ROW][C]56[/C][C]0.69[/C][C]0.691292099280785[/C][C]-0.00129209928078533[/C][/ROW]
[ROW][C]57[/C][C]0.69[/C][C]0.692377099418186[/C][C]-0.00237709941818642[/C][/ROW]
[ROW][C]58[/C][C]0.69[/C][C]0.694892683383741[/C][C]-0.0048926833837406[/C][/ROW]
[ROW][C]59[/C][C]0.71[/C][C]0.709813472856624[/C][C]0.000186527143376414[/C][/ROW]
[ROW][C]60[/C][C]0.75[/C][C]0.744395313192218[/C][C]0.00560468680778203[/C][/ROW]
[ROW][C]61[/C][C]0.74[/C][C]0.750876243633564[/C][C]-0.0108762436335638[/C][/ROW]
[ROW][C]62[/C][C]0.75[/C][C]0.763547776599904[/C][C]-0.0135477765999039[/C][/ROW]
[ROW][C]63[/C][C]0.72[/C][C]0.733043755115741[/C][C]-0.0130437551157413[/C][/ROW]
[ROW][C]64[/C][C]0.64[/C][C]0.675334320916859[/C][C]-0.0353343209168586[/C][/ROW]
[ROW][C]65[/C][C]0.65[/C][C]0.644383090629972[/C][C]0.00561690937002834[/C][/ROW]
[ROW][C]66[/C][C]0.64[/C][C]0.633664625271573[/C][C]0.00633537472842705[/C][/ROW]
[ROW][C]67[/C][C]0.64[/C][C]0.639340951701639[/C][C]0.00065904829836072[/C][/ROW]
[ROW][C]68[/C][C]0.64[/C][C]0.640809877203096[/C][C]-0.00080987720309611[/C][/ROW]
[ROW][C]69[/C][C]0.64[/C][C]0.641989763697998[/C][C]-0.00198976369799841[/C][/ROW]
[ROW][C]70[/C][C]0.65[/C][C]0.644175232803792[/C][C]0.00582476719620806[/C][/ROW]
[ROW][C]71[/C][C]0.66[/C][C]0.668419993520746[/C][C]-0.00841999352074607[/C][/ROW]
[ROW][C]72[/C][C]0.7[/C][C]0.697861483849545[/C][C]0.00213851615045479[/C][/ROW]
[ROW][C]73[/C][C]0.68[/C][C]0.697659672744332[/C][C]-0.0176596727443319[/C][/ROW]
[ROW][C]74[/C][C]0.69[/C][C]0.704564023204313[/C][C]-0.0145640232043134[/C][/ROW]
[ROW][C]75[/C][C]0.68[/C][C]0.673419486220939[/C][C]0.00658051377906144[/C][/ROW]
[ROW][C]76[/C][C]0.67[/C][C]0.624975156449189[/C][C]0.0450248435508108[/C][/ROW]
[ROW][C]77[/C][C]0.68[/C][C]0.664643501425543[/C][C]0.0153564985744575[/C][/ROW]
[ROW][C]78[/C][C]0.68[/C][C]0.661435073221989[/C][C]0.0185649267780107[/C][/ROW]
[ROW][C]79[/C][C]0.68[/C][C]0.674915550970503[/C][C]0.00508444902949745[/C][/ROW]
[ROW][C]80[/C][C]0.68[/C][C]0.679353106698989[/C][C]0.000646893301010865[/C][/ROW]
[ROW][C]81[/C][C]0.68[/C][C]0.681338119388872[/C][C]-0.00133811938887196[/C][/ROW]
[ROW][C]82[/C][C]0.7[/C][C]0.685945525368141[/C][C]0.0140544746318588[/C][/ROW]
[ROW][C]83[/C][C]0.69[/C][C]0.712865475326764[/C][C]-0.0228654753267641[/C][/ROW]
[ROW][C]84[/C][C]0.75[/C][C]0.734041168487212[/C][C]0.0159588315127882[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232793&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232793&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
130.730.7295993589743590.00040064102564108
140.750.750504129254552-0.000504129254551566
150.690.690311074686226-0.000311074686226043
160.650.650263361650042-0.000263361650041483
170.640.640668236138767-0.00066823613876732
180.640.641184966695651-0.00118496669565082
190.640.650896008914468-0.0108960089144675
200.640.6382960728590590.0017039271409407
210.650.6364320247940480.0135679752059521
220.650.656416516586368-0.00641651658636766
230.670.672188975620215-0.00218897562021525
240.70.711144147637953-0.0111441476379535
250.690.713456417428548-0.0234564174285476
260.70.716176739675866-0.0161767396758665
270.710.6442322408845180.0657677591154822
280.690.653943907095180.0360560929048201
290.690.6715918943784510.018408105621549
300.690.6863425795066450.00365742049335482
310.690.697299159018769-0.00729915901876876
320.690.690521166931877-0.000521166931877204
330.70.6899141270538560.010085872946144
340.70.702337985237812-0.00233798523781203
350.70.722225803038172-0.0222258030381723
360.740.743882955787806-0.00388295578780584
370.720.748618876977558-0.0286188769775578
380.740.749251788106156-0.00925178810615634
390.690.702773166396857-0.0127731663968569
400.660.6460119572642950.0139880427357045
410.660.6426843037538930.0173156962461075
420.660.6529669649803320.00703303501966768
430.660.663756986985792-0.0037569869857923
440.660.661320893147416-0.00132089314741579
450.660.662733285637319-0.00273328563731867
460.670.6624356829117340.00756431708826577
470.70.6848632366308320.0151367633691679
480.720.739182271643269-0.0191822716432695
490.710.726286639539821-0.0162866395398208
500.70.740990437048366-0.0409904370483659
510.710.669747006318410.0402529936815896
520.670.6595206291090590.0104793708909408
530.70.6543738873875260.0456261126124741
540.690.6834287658916850.00657123410831462
550.690.691204388562143-0.00120438856214344
560.690.691292099280785-0.00129209928078533
570.690.692377099418186-0.00237709941818642
580.690.694892683383741-0.0048926833837406
590.710.7098134728566240.000186527143376414
600.750.7443953131922180.00560468680778203
610.740.750876243633564-0.0108762436335638
620.750.763547776599904-0.0135477765999039
630.720.733043755115741-0.0130437551157413
640.640.675334320916859-0.0353343209168586
650.650.6443830906299720.00561690937002834
660.640.6336646252715730.00633537472842705
670.640.6393409517016390.00065904829836072
680.640.640809877203096-0.00080987720309611
690.640.641989763697998-0.00198976369799841
700.650.6441752328037920.00582476719620806
710.660.668419993520746-0.00841999352074607
720.70.6978614838495450.00213851615045479
730.680.697659672744332-0.0176596727443319
740.690.704564023204313-0.0145640232043134
750.680.6734194862209390.00658051377906144
760.670.6249751564491890.0450248435508108
770.680.6646435014255430.0153564985744575
780.680.6614350732219890.0185649267780107
790.680.6749155509705030.00508444902949745
800.680.6793531066989890.000646893301010865
810.680.681338119388872-0.00133811938887196
820.70.6859455253681410.0140544746318588
830.690.712865475326764-0.0228654753267641
840.750.7340411684872120.0159588315127882







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
850.7393509291388020.7047593964295990.773942461848006
860.7603154842125850.7170168018269630.803614166598207
870.7453613307666510.6948343314742930.79588833005901
880.701464283922130.6446208197538630.758307748090397
890.6999031121224150.6373780677017340.762428156543096
900.6859264684956770.6181947702963320.753658166695022
910.682098630499150.6095329037259260.754664357272375
920.6816116155358890.6045143622561170.75870886881566
930.6826190214929350.6012421929454650.763995850040405
940.692038081118680.6065957614778640.777480400759497
950.6992524016392810.6099294384844320.78857536479413
960.7472377622377620.6541958710923130.840279653383211

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
85 & 0.739350929138802 & 0.704759396429599 & 0.773942461848006 \tabularnewline
86 & 0.760315484212585 & 0.717016801826963 & 0.803614166598207 \tabularnewline
87 & 0.745361330766651 & 0.694834331474293 & 0.79588833005901 \tabularnewline
88 & 0.70146428392213 & 0.644620819753863 & 0.758307748090397 \tabularnewline
89 & 0.699903112122415 & 0.637378067701734 & 0.762428156543096 \tabularnewline
90 & 0.685926468495677 & 0.618194770296332 & 0.753658166695022 \tabularnewline
91 & 0.68209863049915 & 0.609532903725926 & 0.754664357272375 \tabularnewline
92 & 0.681611615535889 & 0.604514362256117 & 0.75870886881566 \tabularnewline
93 & 0.682619021492935 & 0.601242192945465 & 0.763995850040405 \tabularnewline
94 & 0.69203808111868 & 0.606595761477864 & 0.777480400759497 \tabularnewline
95 & 0.699252401639281 & 0.609929438484432 & 0.78857536479413 \tabularnewline
96 & 0.747237762237762 & 0.654195871092313 & 0.840279653383211 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232793&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]0.739350929138802[/C][C]0.704759396429599[/C][C]0.773942461848006[/C][/ROW]
[ROW][C]86[/C][C]0.760315484212585[/C][C]0.717016801826963[/C][C]0.803614166598207[/C][/ROW]
[ROW][C]87[/C][C]0.745361330766651[/C][C]0.694834331474293[/C][C]0.79588833005901[/C][/ROW]
[ROW][C]88[/C][C]0.70146428392213[/C][C]0.644620819753863[/C][C]0.758307748090397[/C][/ROW]
[ROW][C]89[/C][C]0.699903112122415[/C][C]0.637378067701734[/C][C]0.762428156543096[/C][/ROW]
[ROW][C]90[/C][C]0.685926468495677[/C][C]0.618194770296332[/C][C]0.753658166695022[/C][/ROW]
[ROW][C]91[/C][C]0.68209863049915[/C][C]0.609532903725926[/C][C]0.754664357272375[/C][/ROW]
[ROW][C]92[/C][C]0.681611615535889[/C][C]0.604514362256117[/C][C]0.75870886881566[/C][/ROW]
[ROW][C]93[/C][C]0.682619021492935[/C][C]0.601242192945465[/C][C]0.763995850040405[/C][/ROW]
[ROW][C]94[/C][C]0.69203808111868[/C][C]0.606595761477864[/C][C]0.777480400759497[/C][/ROW]
[ROW][C]95[/C][C]0.699252401639281[/C][C]0.609929438484432[/C][C]0.78857536479413[/C][/ROW]
[ROW][C]96[/C][C]0.747237762237762[/C][C]0.654195871092313[/C][C]0.840279653383211[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232793&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232793&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
850.7393509291388020.7047593964295990.773942461848006
860.7603154842125850.7170168018269630.803614166598207
870.7453613307666510.6948343314742930.79588833005901
880.701464283922130.6446208197538630.758307748090397
890.6999031121224150.6373780677017340.762428156543096
900.6859264684956770.6181947702963320.753658166695022
910.682098630499150.6095329037259260.754664357272375
920.6816116155358890.6045143622561170.75870886881566
930.6826190214929350.6012421929454650.763995850040405
940.692038081118680.6065957614778640.777480400759497
950.6992524016392810.6099294384844320.78857536479413
960.7472377622377620.6541958710923130.840279653383211



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')