Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 28 Nov 2016 22:53:55 +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/2016/Nov/28/t14803736602ext7qlp54wfic5.htm/, Retrieved Sat, 04 May 2024 10:29:43 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 10:29:43 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
662
670
659
663
673
699
712
700
692
699
700
702
693
696
696
694
695
715
731
715
707
712
699
703
695
694
691
694
699
720
732
712
705
707
700
687
674
676
666
669
669
688
705
684
679
689
691
685
690
685
688
696
693
721
726
704
700
707
696
687




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999954668531326
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999954668531326 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.999954668531326[/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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha0.999954668531326
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
26706628
3659669.999637348251-10.9996373482506
4663659.0004986297163.99950137028418
5673662.99981869672910.0001813032711
6699672.99954667709426.0004533229055
7712698.99882136126513.0011786387353
8700711.999410637478-11.9994106374778
9692700.000543950907-8.0005439509074
10699692.0003626764086.99963732359242
11700698.999682696161.00031730384001
12702699.9999546541472.00004534585253
13693701.999909335007-8.99990933500715
14696693.0004079791082.9995920208919
15696695.9998640240880.000135975911803143
16694695.999999993836-1.99999999383601
17695694.0000906629370.999909337062945
18715694.99995467264120.0000453273587
19731714.99909336857216.0009066314283
20715730.999274655402-15.9992746554022
21707715.000725270618-8.00072527061786
22712707.0003626846274.99963731537309
23699711.999773359098-12.9997733590977
24703699.0005892988193.9994107011812
25695702.999818700839-7.999818700839
26694695.000362643531-1.00036264353082
27691694.000045347908-3.00004534790787
28694691.0001359964622.99986400353828
29699693.9998640117595.00013598824114
30720698.99977333649221.0002266635079
31732719.99904802888312.0009519711172
32712731.999455979222-19.9994559792217
33705712.000906604712-7.00090660471221
34707705.0003173613791.99968263862149
35700706.999909351449-6.99990935144911
36687700.000317316172-13.0003173161715
37674687.000589323477-13.0005893234771
38676674.0005893358081.99941066419228
39666675.999909363778-9.9999093637781
40669666.0004533105782.999546689422
41669668.9998640261430.000135973856799865
42688668.99999999383619.000000006164
43705687.99913870209517.0008612979051
44684704.999229325989-20.9992293259886
45679684.000951925906-5.00095192590641
46689679.0002267004969.99977329950445
47691688.999546695592.00045330441014
48685690.999909316514-5.99990931651371
49690685.0002719847014.99972801529873
50685689.999773354986-4.99977335498602
51688685.0002266470692.99977335293079
52696687.9998640158688.0001359841317
53693695.999637342086-2.9996373420862
54721693.00013597796627.9998640220339
55726720.9987307250415.00126927495876
56704725.999773285119-21.9997732851185
57700704.000997282033-4.0009972820335
58707700.0001813710836.99981862891707
59696706.999682687941-10.9996826879411
60687696.000498631771-9.00049863177117

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 670 & 662 & 8 \tabularnewline
3 & 659 & 669.999637348251 & -10.9996373482506 \tabularnewline
4 & 663 & 659.000498629716 & 3.99950137028418 \tabularnewline
5 & 673 & 662.999818696729 & 10.0001813032711 \tabularnewline
6 & 699 & 672.999546677094 & 26.0004533229055 \tabularnewline
7 & 712 & 698.998821361265 & 13.0011786387353 \tabularnewline
8 & 700 & 711.999410637478 & -11.9994106374778 \tabularnewline
9 & 692 & 700.000543950907 & -8.0005439509074 \tabularnewline
10 & 699 & 692.000362676408 & 6.99963732359242 \tabularnewline
11 & 700 & 698.99968269616 & 1.00031730384001 \tabularnewline
12 & 702 & 699.999954654147 & 2.00004534585253 \tabularnewline
13 & 693 & 701.999909335007 & -8.99990933500715 \tabularnewline
14 & 696 & 693.000407979108 & 2.9995920208919 \tabularnewline
15 & 696 & 695.999864024088 & 0.000135975911803143 \tabularnewline
16 & 694 & 695.999999993836 & -1.99999999383601 \tabularnewline
17 & 695 & 694.000090662937 & 0.999909337062945 \tabularnewline
18 & 715 & 694.999954672641 & 20.0000453273587 \tabularnewline
19 & 731 & 714.999093368572 & 16.0009066314283 \tabularnewline
20 & 715 & 730.999274655402 & -15.9992746554022 \tabularnewline
21 & 707 & 715.000725270618 & -8.00072527061786 \tabularnewline
22 & 712 & 707.000362684627 & 4.99963731537309 \tabularnewline
23 & 699 & 711.999773359098 & -12.9997733590977 \tabularnewline
24 & 703 & 699.000589298819 & 3.9994107011812 \tabularnewline
25 & 695 & 702.999818700839 & -7.999818700839 \tabularnewline
26 & 694 & 695.000362643531 & -1.00036264353082 \tabularnewline
27 & 691 & 694.000045347908 & -3.00004534790787 \tabularnewline
28 & 694 & 691.000135996462 & 2.99986400353828 \tabularnewline
29 & 699 & 693.999864011759 & 5.00013598824114 \tabularnewline
30 & 720 & 698.999773336492 & 21.0002266635079 \tabularnewline
31 & 732 & 719.999048028883 & 12.0009519711172 \tabularnewline
32 & 712 & 731.999455979222 & -19.9994559792217 \tabularnewline
33 & 705 & 712.000906604712 & -7.00090660471221 \tabularnewline
34 & 707 & 705.000317361379 & 1.99968263862149 \tabularnewline
35 & 700 & 706.999909351449 & -6.99990935144911 \tabularnewline
36 & 687 & 700.000317316172 & -13.0003173161715 \tabularnewline
37 & 674 & 687.000589323477 & -13.0005893234771 \tabularnewline
38 & 676 & 674.000589335808 & 1.99941066419228 \tabularnewline
39 & 666 & 675.999909363778 & -9.9999093637781 \tabularnewline
40 & 669 & 666.000453310578 & 2.999546689422 \tabularnewline
41 & 669 & 668.999864026143 & 0.000135973856799865 \tabularnewline
42 & 688 & 668.999999993836 & 19.000000006164 \tabularnewline
43 & 705 & 687.999138702095 & 17.0008612979051 \tabularnewline
44 & 684 & 704.999229325989 & -20.9992293259886 \tabularnewline
45 & 679 & 684.000951925906 & -5.00095192590641 \tabularnewline
46 & 689 & 679.000226700496 & 9.99977329950445 \tabularnewline
47 & 691 & 688.99954669559 & 2.00045330441014 \tabularnewline
48 & 685 & 690.999909316514 & -5.99990931651371 \tabularnewline
49 & 690 & 685.000271984701 & 4.99972801529873 \tabularnewline
50 & 685 & 689.999773354986 & -4.99977335498602 \tabularnewline
51 & 688 & 685.000226647069 & 2.99977335293079 \tabularnewline
52 & 696 & 687.999864015868 & 8.0001359841317 \tabularnewline
53 & 693 & 695.999637342086 & -2.9996373420862 \tabularnewline
54 & 721 & 693.000135977966 & 27.9998640220339 \tabularnewline
55 & 726 & 720.998730725041 & 5.00126927495876 \tabularnewline
56 & 704 & 725.999773285119 & -21.9997732851185 \tabularnewline
57 & 700 & 704.000997282033 & -4.0009972820335 \tabularnewline
58 & 707 & 700.000181371083 & 6.99981862891707 \tabularnewline
59 & 696 & 706.999682687941 & -10.9996826879411 \tabularnewline
60 & 687 & 696.000498631771 & -9.00049863177117 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]670[/C][C]662[/C][C]8[/C][/ROW]
[ROW][C]3[/C][C]659[/C][C]669.999637348251[/C][C]-10.9996373482506[/C][/ROW]
[ROW][C]4[/C][C]663[/C][C]659.000498629716[/C][C]3.99950137028418[/C][/ROW]
[ROW][C]5[/C][C]673[/C][C]662.999818696729[/C][C]10.0001813032711[/C][/ROW]
[ROW][C]6[/C][C]699[/C][C]672.999546677094[/C][C]26.0004533229055[/C][/ROW]
[ROW][C]7[/C][C]712[/C][C]698.998821361265[/C][C]13.0011786387353[/C][/ROW]
[ROW][C]8[/C][C]700[/C][C]711.999410637478[/C][C]-11.9994106374778[/C][/ROW]
[ROW][C]9[/C][C]692[/C][C]700.000543950907[/C][C]-8.0005439509074[/C][/ROW]
[ROW][C]10[/C][C]699[/C][C]692.000362676408[/C][C]6.99963732359242[/C][/ROW]
[ROW][C]11[/C][C]700[/C][C]698.99968269616[/C][C]1.00031730384001[/C][/ROW]
[ROW][C]12[/C][C]702[/C][C]699.999954654147[/C][C]2.00004534585253[/C][/ROW]
[ROW][C]13[/C][C]693[/C][C]701.999909335007[/C][C]-8.99990933500715[/C][/ROW]
[ROW][C]14[/C][C]696[/C][C]693.000407979108[/C][C]2.9995920208919[/C][/ROW]
[ROW][C]15[/C][C]696[/C][C]695.999864024088[/C][C]0.000135975911803143[/C][/ROW]
[ROW][C]16[/C][C]694[/C][C]695.999999993836[/C][C]-1.99999999383601[/C][/ROW]
[ROW][C]17[/C][C]695[/C][C]694.000090662937[/C][C]0.999909337062945[/C][/ROW]
[ROW][C]18[/C][C]715[/C][C]694.999954672641[/C][C]20.0000453273587[/C][/ROW]
[ROW][C]19[/C][C]731[/C][C]714.999093368572[/C][C]16.0009066314283[/C][/ROW]
[ROW][C]20[/C][C]715[/C][C]730.999274655402[/C][C]-15.9992746554022[/C][/ROW]
[ROW][C]21[/C][C]707[/C][C]715.000725270618[/C][C]-8.00072527061786[/C][/ROW]
[ROW][C]22[/C][C]712[/C][C]707.000362684627[/C][C]4.99963731537309[/C][/ROW]
[ROW][C]23[/C][C]699[/C][C]711.999773359098[/C][C]-12.9997733590977[/C][/ROW]
[ROW][C]24[/C][C]703[/C][C]699.000589298819[/C][C]3.9994107011812[/C][/ROW]
[ROW][C]25[/C][C]695[/C][C]702.999818700839[/C][C]-7.999818700839[/C][/ROW]
[ROW][C]26[/C][C]694[/C][C]695.000362643531[/C][C]-1.00036264353082[/C][/ROW]
[ROW][C]27[/C][C]691[/C][C]694.000045347908[/C][C]-3.00004534790787[/C][/ROW]
[ROW][C]28[/C][C]694[/C][C]691.000135996462[/C][C]2.99986400353828[/C][/ROW]
[ROW][C]29[/C][C]699[/C][C]693.999864011759[/C][C]5.00013598824114[/C][/ROW]
[ROW][C]30[/C][C]720[/C][C]698.999773336492[/C][C]21.0002266635079[/C][/ROW]
[ROW][C]31[/C][C]732[/C][C]719.999048028883[/C][C]12.0009519711172[/C][/ROW]
[ROW][C]32[/C][C]712[/C][C]731.999455979222[/C][C]-19.9994559792217[/C][/ROW]
[ROW][C]33[/C][C]705[/C][C]712.000906604712[/C][C]-7.00090660471221[/C][/ROW]
[ROW][C]34[/C][C]707[/C][C]705.000317361379[/C][C]1.99968263862149[/C][/ROW]
[ROW][C]35[/C][C]700[/C][C]706.999909351449[/C][C]-6.99990935144911[/C][/ROW]
[ROW][C]36[/C][C]687[/C][C]700.000317316172[/C][C]-13.0003173161715[/C][/ROW]
[ROW][C]37[/C][C]674[/C][C]687.000589323477[/C][C]-13.0005893234771[/C][/ROW]
[ROW][C]38[/C][C]676[/C][C]674.000589335808[/C][C]1.99941066419228[/C][/ROW]
[ROW][C]39[/C][C]666[/C][C]675.999909363778[/C][C]-9.9999093637781[/C][/ROW]
[ROW][C]40[/C][C]669[/C][C]666.000453310578[/C][C]2.999546689422[/C][/ROW]
[ROW][C]41[/C][C]669[/C][C]668.999864026143[/C][C]0.000135973856799865[/C][/ROW]
[ROW][C]42[/C][C]688[/C][C]668.999999993836[/C][C]19.000000006164[/C][/ROW]
[ROW][C]43[/C][C]705[/C][C]687.999138702095[/C][C]17.0008612979051[/C][/ROW]
[ROW][C]44[/C][C]684[/C][C]704.999229325989[/C][C]-20.9992293259886[/C][/ROW]
[ROW][C]45[/C][C]679[/C][C]684.000951925906[/C][C]-5.00095192590641[/C][/ROW]
[ROW][C]46[/C][C]689[/C][C]679.000226700496[/C][C]9.99977329950445[/C][/ROW]
[ROW][C]47[/C][C]691[/C][C]688.99954669559[/C][C]2.00045330441014[/C][/ROW]
[ROW][C]48[/C][C]685[/C][C]690.999909316514[/C][C]-5.99990931651371[/C][/ROW]
[ROW][C]49[/C][C]690[/C][C]685.000271984701[/C][C]4.99972801529873[/C][/ROW]
[ROW][C]50[/C][C]685[/C][C]689.999773354986[/C][C]-4.99977335498602[/C][/ROW]
[ROW][C]51[/C][C]688[/C][C]685.000226647069[/C][C]2.99977335293079[/C][/ROW]
[ROW][C]52[/C][C]696[/C][C]687.999864015868[/C][C]8.0001359841317[/C][/ROW]
[ROW][C]53[/C][C]693[/C][C]695.999637342086[/C][C]-2.9996373420862[/C][/ROW]
[ROW][C]54[/C][C]721[/C][C]693.000135977966[/C][C]27.9998640220339[/C][/ROW]
[ROW][C]55[/C][C]726[/C][C]720.998730725041[/C][C]5.00126927495876[/C][/ROW]
[ROW][C]56[/C][C]704[/C][C]725.999773285119[/C][C]-21.9997732851185[/C][/ROW]
[ROW][C]57[/C][C]700[/C][C]704.000997282033[/C][C]-4.0009972820335[/C][/ROW]
[ROW][C]58[/C][C]707[/C][C]700.000181371083[/C][C]6.99981862891707[/C][/ROW]
[ROW][C]59[/C][C]696[/C][C]706.999682687941[/C][C]-10.9996826879411[/C][/ROW]
[ROW][C]60[/C][C]687[/C][C]696.000498631771[/C][C]-9.00049863177117[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
26706628
3659669.999637348251-10.9996373482506
4663659.0004986297163.99950137028418
5673662.99981869672910.0001813032711
6699672.99954667709426.0004533229055
7712698.99882136126513.0011786387353
8700711.999410637478-11.9994106374778
9692700.000543950907-8.0005439509074
10699692.0003626764086.99963732359242
11700698.999682696161.00031730384001
12702699.9999546541472.00004534585253
13693701.999909335007-8.99990933500715
14696693.0004079791082.9995920208919
15696695.9998640240880.000135975911803143
16694695.999999993836-1.99999999383601
17695694.0000906629370.999909337062945
18715694.99995467264120.0000453273587
19731714.99909336857216.0009066314283
20715730.999274655402-15.9992746554022
21707715.000725270618-8.00072527061786
22712707.0003626846274.99963731537309
23699711.999773359098-12.9997733590977
24703699.0005892988193.9994107011812
25695702.999818700839-7.999818700839
26694695.000362643531-1.00036264353082
27691694.000045347908-3.00004534790787
28694691.0001359964622.99986400353828
29699693.9998640117595.00013598824114
30720698.99977333649221.0002266635079
31732719.99904802888312.0009519711172
32712731.999455979222-19.9994559792217
33705712.000906604712-7.00090660471221
34707705.0003173613791.99968263862149
35700706.999909351449-6.99990935144911
36687700.000317316172-13.0003173161715
37674687.000589323477-13.0005893234771
38676674.0005893358081.99941066419228
39666675.999909363778-9.9999093637781
40669666.0004533105782.999546689422
41669668.9998640261430.000135973856799865
42688668.99999999383619.000000006164
43705687.99913870209517.0008612979051
44684704.999229325989-20.9992293259886
45679684.000951925906-5.00095192590641
46689679.0002267004969.99977329950445
47691688.999546695592.00045330441014
48685690.999909316514-5.99990931651371
49690685.0002719847014.99972801529873
50685689.999773354986-4.99977335498602
51688685.0002266470692.99977335293079
52696687.9998640158688.0001359841317
53693695.999637342086-2.9996373420862
54721693.00013597796627.9998640220339
55726720.9987307250415.00126927495876
56704725.999773285119-21.9997732851185
57700704.000997282033-4.0009972820335
58707700.0001813710836.99981862891707
59696706.999682687941-10.9996826879411
60687696.000498631771-9.00049863177117







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
61687.000408005822665.053402078473708.94741393317
62687.000408005822655.963358055384718.03745795626
63687.000408005822648.988227456991725.012588554653
64687.000408005822643.107888477685730.892927533958
65687.000408005822637.927190554968736.073625456675
66687.000408005822633.24347290504740.757343106603
67687.000408005822628.936344490765745.064471520879
68687.000408005822624.927363354125749.073452657518
69687.000408005822621.162043257125752.838772754518
70687.000408005822617.600712954379756.400103057265
71687.000408005822614.21342377317759.787392238473
72687.000408005822610.976908519576763.023907492067

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 687.000408005822 & 665.053402078473 & 708.94741393317 \tabularnewline
62 & 687.000408005822 & 655.963358055384 & 718.03745795626 \tabularnewline
63 & 687.000408005822 & 648.988227456991 & 725.012588554653 \tabularnewline
64 & 687.000408005822 & 643.107888477685 & 730.892927533958 \tabularnewline
65 & 687.000408005822 & 637.927190554968 & 736.073625456675 \tabularnewline
66 & 687.000408005822 & 633.24347290504 & 740.757343106603 \tabularnewline
67 & 687.000408005822 & 628.936344490765 & 745.064471520879 \tabularnewline
68 & 687.000408005822 & 624.927363354125 & 749.073452657518 \tabularnewline
69 & 687.000408005822 & 621.162043257125 & 752.838772754518 \tabularnewline
70 & 687.000408005822 & 617.600712954379 & 756.400103057265 \tabularnewline
71 & 687.000408005822 & 614.21342377317 & 759.787392238473 \tabularnewline
72 & 687.000408005822 & 610.976908519576 & 763.023907492067 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]61[/C][C]687.000408005822[/C][C]665.053402078473[/C][C]708.94741393317[/C][/ROW]
[ROW][C]62[/C][C]687.000408005822[/C][C]655.963358055384[/C][C]718.03745795626[/C][/ROW]
[ROW][C]63[/C][C]687.000408005822[/C][C]648.988227456991[/C][C]725.012588554653[/C][/ROW]
[ROW][C]64[/C][C]687.000408005822[/C][C]643.107888477685[/C][C]730.892927533958[/C][/ROW]
[ROW][C]65[/C][C]687.000408005822[/C][C]637.927190554968[/C][C]736.073625456675[/C][/ROW]
[ROW][C]66[/C][C]687.000408005822[/C][C]633.24347290504[/C][C]740.757343106603[/C][/ROW]
[ROW][C]67[/C][C]687.000408005822[/C][C]628.936344490765[/C][C]745.064471520879[/C][/ROW]
[ROW][C]68[/C][C]687.000408005822[/C][C]624.927363354125[/C][C]749.073452657518[/C][/ROW]
[ROW][C]69[/C][C]687.000408005822[/C][C]621.162043257125[/C][C]752.838772754518[/C][/ROW]
[ROW][C]70[/C][C]687.000408005822[/C][C]617.600712954379[/C][C]756.400103057265[/C][/ROW]
[ROW][C]71[/C][C]687.000408005822[/C][C]614.21342377317[/C][C]759.787392238473[/C][/ROW]
[ROW][C]72[/C][C]687.000408005822[/C][C]610.976908519576[/C][C]763.023907492067[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
61687.000408005822665.053402078473708.94741393317
62687.000408005822655.963358055384718.03745795626
63687.000408005822648.988227456991725.012588554653
64687.000408005822643.107888477685730.892927533958
65687.000408005822637.927190554968736.073625456675
66687.000408005822633.24347290504740.757343106603
67687.000408005822628.936344490765745.064471520879
68687.000408005822624.927363354125749.073452657518
69687.000408005822621.162043257125752.838772754518
70687.000408005822617.600712954379756.400103057265
71687.000408005822614.21342377317759.787392238473
72687.000408005822610.976908519576763.023907492067



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')