Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 17 Jan 2009 02:32:07 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/17/t123218480192oykeqy9id28j4.htm/, Retrieved Mon, 29 Apr 2024 14:57:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36923, Retrieved Mon, 29 Apr 2024 14:57:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact205
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [Opdracht 7_oefeni...] [2008-12-15 09:21:34] [4047c66d272f0b18d63fe49a1610bba9]
- RMPD    [Exponential Smoothing] [Opdracht 10_Opgav...] [2009-01-17 09:32:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
0.60773
0.58933
0.60039
0.61342
0.6348
0.634
0.62915
0.62168
0.61328
0.6089
0.60857
0.62672
0.62291
0.62393
0.61838
0.62012
0.61659
0.6116
0.61573
0.61407
0.62823
0.64405
0.6387
0.63633
0.63059
0.62994
0.63709
0.64217
0.65711
0.66977
0.68255
0.68902
0.71322
0.70224
0.70045
0.69919
0.69693
0.69763
0.69278
0.70196
0.69215
0.6769
0.67124
0.66532
0.67157
0.66428
0.66576
0.66942
0.6813
0.69144
0.69862
0.695
0.69867
0.68968
0.69233
0.68293
0.68399
0.66895
0.68756
0.68527
0.6776
0.68137
0.67933
0.67922
0.68598
0.68297
0.68935
0.69463
0.6833
0.68666
0.68782
0.67669
0.67511
0.67254
0.67397
0.67286
0.66341
0.668
0.68021
0.67934
0.68136
0.67562
0.6744
0.67766
0.68887
0.69614
0.70896
0.72064




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36923&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36923&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36923&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.313819645669102
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.313819645669102 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36923&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0.313819645669102[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36923&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36923&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.313819645669102
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
30.600390.570930.0294599999999999
40.613420.5912351267614120.0221848732385882
50.63480.6112271758203590.0235728241796407
60.6340.640004791151834-0.00600479115183428
70.629150.637320369720249-0.00817036972024876
80.621680.629906347189655-0.00822634718965465
90.613280.619854757829446-0.00657475782944617
100.60890.609391469657049-0.000491469657049382
110.608570.6048572368234170.00371276317658309
120.626720.6056923748479460.0210276251520545
130.622910.630441256722426-0.00753125672242605
140.623930.624267800406351-0.000337800406351119
150.618380.625181792002523-0.00680179200252318
160.620120.6174972560463770.00262274395362350
170.616590.620060324624583-0.00347032462458341
180.61160.61544126858054-0.00384126858053979
190.615730.6092458030356750.006484196964325
200.614070.615410671429468-0.00134067142946814
210.628230.6133299423965140.0149000576034862
220.644050.6321658731940890.0118841268059111
230.63870.651715345657407-0.0130153456574066
240.636330.642280874494939-0.00595087449493859
250.630590.638043373169516-0.00745337316951555
260.629940.629964358242419-2.43582424185318e-05
270.637090.6293067141474140.00778328585258625
280.642170.6388992621558140.0032707378441863
290.657110.6450056839471530.0121043160528472
300.669770.6637442561219240.00602574387807597
310.682550.6782952529306350.00425474706936535
320.689020.692410476148354-0.00339047614835453
330.713220.6978164781248280.0154035218751717
340.702240.726850405901751-0.024610405901751
350.700450.70814717704189-0.00769717704189066
360.699190.703941651669952-0.00475165166995228
370.696930.701190490026545-0.00426049002654472
380.697630.6975934645560383.65354439620935e-05
390.692780.698304930096116-0.00552493009611643
400.701960.6917210984910060.0102389015089935
410.692150.7041142669346-0.0119642669345997
420.67690.690549644924493-0.0136496449244932
430.671240.671016118190780.000223881809220394
440.665320.665426376700821-0.000106376700820809
450.671570.6594729936022620.0120970063977381
460.664280.669519271863657-0.00523927186365691
470.665760.660585085423840.00517491457616004
480.669420.6636890752824980.00573092471750158
490.68130.6691475520467010.0121524479532990
500.691440.6848412289574180.00659877104258255
510.698620.6970520529478520.00156794705214769
520.6950.704724105536185-0.0097241055361853
530.698670.698052490182370.000617509817629425
540.689680.701916276894536-0.0122362768945363
550.692330.6890862928151840.00324370718481615
560.682930.692754231854577-0.00982423185457715
570.683990.6802711948950030.00371880510499722
580.668950.682498228995365-0.0135482289953653
590.687560.6632065285725960.0243534714274040
600.685270.689459126346756-0.00418912634675639
610.67760.685854496200954-0.00825449620095431
620.681370.6755940731279940.00577592687200623
630.679330.681176672452378-0.00184667245237757
640.679220.6785571503577050.000662849642294572
650.685980.6786551655975820.00732483440241771
660.682970.687713842534334-0.00474384253433391
670.689350.6832151315510990.00613486844890088
680.694630.691520373793960.00310962620604016
690.68330.697776235588103-0.0144762355881026
700.686660.6819033084652220.0047566915347782
710.687820.6867560517172230.00106394828277678
720.676690.688249939590334-0.0115599395903344
730.675110.673492203444140.00161779655586047
740.672540.6724198997860640.000120100213935714
750.673970.6698875895926460.00408241040735358
760.672860.6725987301801580.000261269819842092
770.663410.671570721782445-0.00816072178244476
780.6680.6595597269642740.00844027303572614
790.680210.6667984504576960.0134115495423041
800.679340.683217258182935-0.00387725818293527
810.681360.6811304983937990.000229501606200944
820.675620.683222520506537-0.00760252050653742
830.67440.675096700214984-0.000696700214983803
840.677660.673658062000380.00400193799962001
850.688870.678173948765410.0106960512345895
860.696140.6927405797739080.00339942022609208
870.708960.701077384624740.00788261537525958
880.720640.716371104188750.00426889581124967

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 0.60039 & 0.57093 & 0.0294599999999999 \tabularnewline
4 & 0.61342 & 0.591235126761412 & 0.0221848732385882 \tabularnewline
5 & 0.6348 & 0.611227175820359 & 0.0235728241796407 \tabularnewline
6 & 0.634 & 0.640004791151834 & -0.00600479115183428 \tabularnewline
7 & 0.62915 & 0.637320369720249 & -0.00817036972024876 \tabularnewline
8 & 0.62168 & 0.629906347189655 & -0.00822634718965465 \tabularnewline
9 & 0.61328 & 0.619854757829446 & -0.00657475782944617 \tabularnewline
10 & 0.6089 & 0.609391469657049 & -0.000491469657049382 \tabularnewline
11 & 0.60857 & 0.604857236823417 & 0.00371276317658309 \tabularnewline
12 & 0.62672 & 0.605692374847946 & 0.0210276251520545 \tabularnewline
13 & 0.62291 & 0.630441256722426 & -0.00753125672242605 \tabularnewline
14 & 0.62393 & 0.624267800406351 & -0.000337800406351119 \tabularnewline
15 & 0.61838 & 0.625181792002523 & -0.00680179200252318 \tabularnewline
16 & 0.62012 & 0.617497256046377 & 0.00262274395362350 \tabularnewline
17 & 0.61659 & 0.620060324624583 & -0.00347032462458341 \tabularnewline
18 & 0.6116 & 0.61544126858054 & -0.00384126858053979 \tabularnewline
19 & 0.61573 & 0.609245803035675 & 0.006484196964325 \tabularnewline
20 & 0.61407 & 0.615410671429468 & -0.00134067142946814 \tabularnewline
21 & 0.62823 & 0.613329942396514 & 0.0149000576034862 \tabularnewline
22 & 0.64405 & 0.632165873194089 & 0.0118841268059111 \tabularnewline
23 & 0.6387 & 0.651715345657407 & -0.0130153456574066 \tabularnewline
24 & 0.63633 & 0.642280874494939 & -0.00595087449493859 \tabularnewline
25 & 0.63059 & 0.638043373169516 & -0.00745337316951555 \tabularnewline
26 & 0.62994 & 0.629964358242419 & -2.43582424185318e-05 \tabularnewline
27 & 0.63709 & 0.629306714147414 & 0.00778328585258625 \tabularnewline
28 & 0.64217 & 0.638899262155814 & 0.0032707378441863 \tabularnewline
29 & 0.65711 & 0.645005683947153 & 0.0121043160528472 \tabularnewline
30 & 0.66977 & 0.663744256121924 & 0.00602574387807597 \tabularnewline
31 & 0.68255 & 0.678295252930635 & 0.00425474706936535 \tabularnewline
32 & 0.68902 & 0.692410476148354 & -0.00339047614835453 \tabularnewline
33 & 0.71322 & 0.697816478124828 & 0.0154035218751717 \tabularnewline
34 & 0.70224 & 0.726850405901751 & -0.024610405901751 \tabularnewline
35 & 0.70045 & 0.70814717704189 & -0.00769717704189066 \tabularnewline
36 & 0.69919 & 0.703941651669952 & -0.00475165166995228 \tabularnewline
37 & 0.69693 & 0.701190490026545 & -0.00426049002654472 \tabularnewline
38 & 0.69763 & 0.697593464556038 & 3.65354439620935e-05 \tabularnewline
39 & 0.69278 & 0.698304930096116 & -0.00552493009611643 \tabularnewline
40 & 0.70196 & 0.691721098491006 & 0.0102389015089935 \tabularnewline
41 & 0.69215 & 0.7041142669346 & -0.0119642669345997 \tabularnewline
42 & 0.6769 & 0.690549644924493 & -0.0136496449244932 \tabularnewline
43 & 0.67124 & 0.67101611819078 & 0.000223881809220394 \tabularnewline
44 & 0.66532 & 0.665426376700821 & -0.000106376700820809 \tabularnewline
45 & 0.67157 & 0.659472993602262 & 0.0120970063977381 \tabularnewline
46 & 0.66428 & 0.669519271863657 & -0.00523927186365691 \tabularnewline
47 & 0.66576 & 0.66058508542384 & 0.00517491457616004 \tabularnewline
48 & 0.66942 & 0.663689075282498 & 0.00573092471750158 \tabularnewline
49 & 0.6813 & 0.669147552046701 & 0.0121524479532990 \tabularnewline
50 & 0.69144 & 0.684841228957418 & 0.00659877104258255 \tabularnewline
51 & 0.69862 & 0.697052052947852 & 0.00156794705214769 \tabularnewline
52 & 0.695 & 0.704724105536185 & -0.0097241055361853 \tabularnewline
53 & 0.69867 & 0.69805249018237 & 0.000617509817629425 \tabularnewline
54 & 0.68968 & 0.701916276894536 & -0.0122362768945363 \tabularnewline
55 & 0.69233 & 0.689086292815184 & 0.00324370718481615 \tabularnewline
56 & 0.68293 & 0.692754231854577 & -0.00982423185457715 \tabularnewline
57 & 0.68399 & 0.680271194895003 & 0.00371880510499722 \tabularnewline
58 & 0.66895 & 0.682498228995365 & -0.0135482289953653 \tabularnewline
59 & 0.68756 & 0.663206528572596 & 0.0243534714274040 \tabularnewline
60 & 0.68527 & 0.689459126346756 & -0.00418912634675639 \tabularnewline
61 & 0.6776 & 0.685854496200954 & -0.00825449620095431 \tabularnewline
62 & 0.68137 & 0.675594073127994 & 0.00577592687200623 \tabularnewline
63 & 0.67933 & 0.681176672452378 & -0.00184667245237757 \tabularnewline
64 & 0.67922 & 0.678557150357705 & 0.000662849642294572 \tabularnewline
65 & 0.68598 & 0.678655165597582 & 0.00732483440241771 \tabularnewline
66 & 0.68297 & 0.687713842534334 & -0.00474384253433391 \tabularnewline
67 & 0.68935 & 0.683215131551099 & 0.00613486844890088 \tabularnewline
68 & 0.69463 & 0.69152037379396 & 0.00310962620604016 \tabularnewline
69 & 0.6833 & 0.697776235588103 & -0.0144762355881026 \tabularnewline
70 & 0.68666 & 0.681903308465222 & 0.0047566915347782 \tabularnewline
71 & 0.68782 & 0.686756051717223 & 0.00106394828277678 \tabularnewline
72 & 0.67669 & 0.688249939590334 & -0.0115599395903344 \tabularnewline
73 & 0.67511 & 0.67349220344414 & 0.00161779655586047 \tabularnewline
74 & 0.67254 & 0.672419899786064 & 0.000120100213935714 \tabularnewline
75 & 0.67397 & 0.669887589592646 & 0.00408241040735358 \tabularnewline
76 & 0.67286 & 0.672598730180158 & 0.000261269819842092 \tabularnewline
77 & 0.66341 & 0.671570721782445 & -0.00816072178244476 \tabularnewline
78 & 0.668 & 0.659559726964274 & 0.00844027303572614 \tabularnewline
79 & 0.68021 & 0.666798450457696 & 0.0134115495423041 \tabularnewline
80 & 0.67934 & 0.683217258182935 & -0.00387725818293527 \tabularnewline
81 & 0.68136 & 0.681130498393799 & 0.000229501606200944 \tabularnewline
82 & 0.67562 & 0.683222520506537 & -0.00760252050653742 \tabularnewline
83 & 0.6744 & 0.675096700214984 & -0.000696700214983803 \tabularnewline
84 & 0.67766 & 0.67365806200038 & 0.00400193799962001 \tabularnewline
85 & 0.68887 & 0.67817394876541 & 0.0106960512345895 \tabularnewline
86 & 0.69614 & 0.692740579773908 & 0.00339942022609208 \tabularnewline
87 & 0.70896 & 0.70107738462474 & 0.00788261537525958 \tabularnewline
88 & 0.72064 & 0.71637110418875 & 0.00426889581124967 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36923&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]0.60039[/C][C]0.57093[/C][C]0.0294599999999999[/C][/ROW]
[ROW][C]4[/C][C]0.61342[/C][C]0.591235126761412[/C][C]0.0221848732385882[/C][/ROW]
[ROW][C]5[/C][C]0.6348[/C][C]0.611227175820359[/C][C]0.0235728241796407[/C][/ROW]
[ROW][C]6[/C][C]0.634[/C][C]0.640004791151834[/C][C]-0.00600479115183428[/C][/ROW]
[ROW][C]7[/C][C]0.62915[/C][C]0.637320369720249[/C][C]-0.00817036972024876[/C][/ROW]
[ROW][C]8[/C][C]0.62168[/C][C]0.629906347189655[/C][C]-0.00822634718965465[/C][/ROW]
[ROW][C]9[/C][C]0.61328[/C][C]0.619854757829446[/C][C]-0.00657475782944617[/C][/ROW]
[ROW][C]10[/C][C]0.6089[/C][C]0.609391469657049[/C][C]-0.000491469657049382[/C][/ROW]
[ROW][C]11[/C][C]0.60857[/C][C]0.604857236823417[/C][C]0.00371276317658309[/C][/ROW]
[ROW][C]12[/C][C]0.62672[/C][C]0.605692374847946[/C][C]0.0210276251520545[/C][/ROW]
[ROW][C]13[/C][C]0.62291[/C][C]0.630441256722426[/C][C]-0.00753125672242605[/C][/ROW]
[ROW][C]14[/C][C]0.62393[/C][C]0.624267800406351[/C][C]-0.000337800406351119[/C][/ROW]
[ROW][C]15[/C][C]0.61838[/C][C]0.625181792002523[/C][C]-0.00680179200252318[/C][/ROW]
[ROW][C]16[/C][C]0.62012[/C][C]0.617497256046377[/C][C]0.00262274395362350[/C][/ROW]
[ROW][C]17[/C][C]0.61659[/C][C]0.620060324624583[/C][C]-0.00347032462458341[/C][/ROW]
[ROW][C]18[/C][C]0.6116[/C][C]0.61544126858054[/C][C]-0.00384126858053979[/C][/ROW]
[ROW][C]19[/C][C]0.61573[/C][C]0.609245803035675[/C][C]0.006484196964325[/C][/ROW]
[ROW][C]20[/C][C]0.61407[/C][C]0.615410671429468[/C][C]-0.00134067142946814[/C][/ROW]
[ROW][C]21[/C][C]0.62823[/C][C]0.613329942396514[/C][C]0.0149000576034862[/C][/ROW]
[ROW][C]22[/C][C]0.64405[/C][C]0.632165873194089[/C][C]0.0118841268059111[/C][/ROW]
[ROW][C]23[/C][C]0.6387[/C][C]0.651715345657407[/C][C]-0.0130153456574066[/C][/ROW]
[ROW][C]24[/C][C]0.63633[/C][C]0.642280874494939[/C][C]-0.00595087449493859[/C][/ROW]
[ROW][C]25[/C][C]0.63059[/C][C]0.638043373169516[/C][C]-0.00745337316951555[/C][/ROW]
[ROW][C]26[/C][C]0.62994[/C][C]0.629964358242419[/C][C]-2.43582424185318e-05[/C][/ROW]
[ROW][C]27[/C][C]0.63709[/C][C]0.629306714147414[/C][C]0.00778328585258625[/C][/ROW]
[ROW][C]28[/C][C]0.64217[/C][C]0.638899262155814[/C][C]0.0032707378441863[/C][/ROW]
[ROW][C]29[/C][C]0.65711[/C][C]0.645005683947153[/C][C]0.0121043160528472[/C][/ROW]
[ROW][C]30[/C][C]0.66977[/C][C]0.663744256121924[/C][C]0.00602574387807597[/C][/ROW]
[ROW][C]31[/C][C]0.68255[/C][C]0.678295252930635[/C][C]0.00425474706936535[/C][/ROW]
[ROW][C]32[/C][C]0.68902[/C][C]0.692410476148354[/C][C]-0.00339047614835453[/C][/ROW]
[ROW][C]33[/C][C]0.71322[/C][C]0.697816478124828[/C][C]0.0154035218751717[/C][/ROW]
[ROW][C]34[/C][C]0.70224[/C][C]0.726850405901751[/C][C]-0.024610405901751[/C][/ROW]
[ROW][C]35[/C][C]0.70045[/C][C]0.70814717704189[/C][C]-0.00769717704189066[/C][/ROW]
[ROW][C]36[/C][C]0.69919[/C][C]0.703941651669952[/C][C]-0.00475165166995228[/C][/ROW]
[ROW][C]37[/C][C]0.69693[/C][C]0.701190490026545[/C][C]-0.00426049002654472[/C][/ROW]
[ROW][C]38[/C][C]0.69763[/C][C]0.697593464556038[/C][C]3.65354439620935e-05[/C][/ROW]
[ROW][C]39[/C][C]0.69278[/C][C]0.698304930096116[/C][C]-0.00552493009611643[/C][/ROW]
[ROW][C]40[/C][C]0.70196[/C][C]0.691721098491006[/C][C]0.0102389015089935[/C][/ROW]
[ROW][C]41[/C][C]0.69215[/C][C]0.7041142669346[/C][C]-0.0119642669345997[/C][/ROW]
[ROW][C]42[/C][C]0.6769[/C][C]0.690549644924493[/C][C]-0.0136496449244932[/C][/ROW]
[ROW][C]43[/C][C]0.67124[/C][C]0.67101611819078[/C][C]0.000223881809220394[/C][/ROW]
[ROW][C]44[/C][C]0.66532[/C][C]0.665426376700821[/C][C]-0.000106376700820809[/C][/ROW]
[ROW][C]45[/C][C]0.67157[/C][C]0.659472993602262[/C][C]0.0120970063977381[/C][/ROW]
[ROW][C]46[/C][C]0.66428[/C][C]0.669519271863657[/C][C]-0.00523927186365691[/C][/ROW]
[ROW][C]47[/C][C]0.66576[/C][C]0.66058508542384[/C][C]0.00517491457616004[/C][/ROW]
[ROW][C]48[/C][C]0.66942[/C][C]0.663689075282498[/C][C]0.00573092471750158[/C][/ROW]
[ROW][C]49[/C][C]0.6813[/C][C]0.669147552046701[/C][C]0.0121524479532990[/C][/ROW]
[ROW][C]50[/C][C]0.69144[/C][C]0.684841228957418[/C][C]0.00659877104258255[/C][/ROW]
[ROW][C]51[/C][C]0.69862[/C][C]0.697052052947852[/C][C]0.00156794705214769[/C][/ROW]
[ROW][C]52[/C][C]0.695[/C][C]0.704724105536185[/C][C]-0.0097241055361853[/C][/ROW]
[ROW][C]53[/C][C]0.69867[/C][C]0.69805249018237[/C][C]0.000617509817629425[/C][/ROW]
[ROW][C]54[/C][C]0.68968[/C][C]0.701916276894536[/C][C]-0.0122362768945363[/C][/ROW]
[ROW][C]55[/C][C]0.69233[/C][C]0.689086292815184[/C][C]0.00324370718481615[/C][/ROW]
[ROW][C]56[/C][C]0.68293[/C][C]0.692754231854577[/C][C]-0.00982423185457715[/C][/ROW]
[ROW][C]57[/C][C]0.68399[/C][C]0.680271194895003[/C][C]0.00371880510499722[/C][/ROW]
[ROW][C]58[/C][C]0.66895[/C][C]0.682498228995365[/C][C]-0.0135482289953653[/C][/ROW]
[ROW][C]59[/C][C]0.68756[/C][C]0.663206528572596[/C][C]0.0243534714274040[/C][/ROW]
[ROW][C]60[/C][C]0.68527[/C][C]0.689459126346756[/C][C]-0.00418912634675639[/C][/ROW]
[ROW][C]61[/C][C]0.6776[/C][C]0.685854496200954[/C][C]-0.00825449620095431[/C][/ROW]
[ROW][C]62[/C][C]0.68137[/C][C]0.675594073127994[/C][C]0.00577592687200623[/C][/ROW]
[ROW][C]63[/C][C]0.67933[/C][C]0.681176672452378[/C][C]-0.00184667245237757[/C][/ROW]
[ROW][C]64[/C][C]0.67922[/C][C]0.678557150357705[/C][C]0.000662849642294572[/C][/ROW]
[ROW][C]65[/C][C]0.68598[/C][C]0.678655165597582[/C][C]0.00732483440241771[/C][/ROW]
[ROW][C]66[/C][C]0.68297[/C][C]0.687713842534334[/C][C]-0.00474384253433391[/C][/ROW]
[ROW][C]67[/C][C]0.68935[/C][C]0.683215131551099[/C][C]0.00613486844890088[/C][/ROW]
[ROW][C]68[/C][C]0.69463[/C][C]0.69152037379396[/C][C]0.00310962620604016[/C][/ROW]
[ROW][C]69[/C][C]0.6833[/C][C]0.697776235588103[/C][C]-0.0144762355881026[/C][/ROW]
[ROW][C]70[/C][C]0.68666[/C][C]0.681903308465222[/C][C]0.0047566915347782[/C][/ROW]
[ROW][C]71[/C][C]0.68782[/C][C]0.686756051717223[/C][C]0.00106394828277678[/C][/ROW]
[ROW][C]72[/C][C]0.67669[/C][C]0.688249939590334[/C][C]-0.0115599395903344[/C][/ROW]
[ROW][C]73[/C][C]0.67511[/C][C]0.67349220344414[/C][C]0.00161779655586047[/C][/ROW]
[ROW][C]74[/C][C]0.67254[/C][C]0.672419899786064[/C][C]0.000120100213935714[/C][/ROW]
[ROW][C]75[/C][C]0.67397[/C][C]0.669887589592646[/C][C]0.00408241040735358[/C][/ROW]
[ROW][C]76[/C][C]0.67286[/C][C]0.672598730180158[/C][C]0.000261269819842092[/C][/ROW]
[ROW][C]77[/C][C]0.66341[/C][C]0.671570721782445[/C][C]-0.00816072178244476[/C][/ROW]
[ROW][C]78[/C][C]0.668[/C][C]0.659559726964274[/C][C]0.00844027303572614[/C][/ROW]
[ROW][C]79[/C][C]0.68021[/C][C]0.666798450457696[/C][C]0.0134115495423041[/C][/ROW]
[ROW][C]80[/C][C]0.67934[/C][C]0.683217258182935[/C][C]-0.00387725818293527[/C][/ROW]
[ROW][C]81[/C][C]0.68136[/C][C]0.681130498393799[/C][C]0.000229501606200944[/C][/ROW]
[ROW][C]82[/C][C]0.67562[/C][C]0.683222520506537[/C][C]-0.00760252050653742[/C][/ROW]
[ROW][C]83[/C][C]0.6744[/C][C]0.675096700214984[/C][C]-0.000696700214983803[/C][/ROW]
[ROW][C]84[/C][C]0.67766[/C][C]0.67365806200038[/C][C]0.00400193799962001[/C][/ROW]
[ROW][C]85[/C][C]0.68887[/C][C]0.67817394876541[/C][C]0.0106960512345895[/C][/ROW]
[ROW][C]86[/C][C]0.69614[/C][C]0.692740579773908[/C][C]0.00339942022609208[/C][/ROW]
[ROW][C]87[/C][C]0.70896[/C][C]0.70107738462474[/C][C]0.00788261537525958[/C][/ROW]
[ROW][C]88[/C][C]0.72064[/C][C]0.71637110418875[/C][C]0.00426889581124967[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36923&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36923&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
30.600390.570930.0294599999999999
40.613420.5912351267614120.0221848732385882
50.63480.6112271758203590.0235728241796407
60.6340.640004791151834-0.00600479115183428
70.629150.637320369720249-0.00817036972024876
80.621680.629906347189655-0.00822634718965465
90.613280.619854757829446-0.00657475782944617
100.60890.609391469657049-0.000491469657049382
110.608570.6048572368234170.00371276317658309
120.626720.6056923748479460.0210276251520545
130.622910.630441256722426-0.00753125672242605
140.623930.624267800406351-0.000337800406351119
150.618380.625181792002523-0.00680179200252318
160.620120.6174972560463770.00262274395362350
170.616590.620060324624583-0.00347032462458341
180.61160.61544126858054-0.00384126858053979
190.615730.6092458030356750.006484196964325
200.614070.615410671429468-0.00134067142946814
210.628230.6133299423965140.0149000576034862
220.644050.6321658731940890.0118841268059111
230.63870.651715345657407-0.0130153456574066
240.636330.642280874494939-0.00595087449493859
250.630590.638043373169516-0.00745337316951555
260.629940.629964358242419-2.43582424185318e-05
270.637090.6293067141474140.00778328585258625
280.642170.6388992621558140.0032707378441863
290.657110.6450056839471530.0121043160528472
300.669770.6637442561219240.00602574387807597
310.682550.6782952529306350.00425474706936535
320.689020.692410476148354-0.00339047614835453
330.713220.6978164781248280.0154035218751717
340.702240.726850405901751-0.024610405901751
350.700450.70814717704189-0.00769717704189066
360.699190.703941651669952-0.00475165166995228
370.696930.701190490026545-0.00426049002654472
380.697630.6975934645560383.65354439620935e-05
390.692780.698304930096116-0.00552493009611643
400.701960.6917210984910060.0102389015089935
410.692150.7041142669346-0.0119642669345997
420.67690.690549644924493-0.0136496449244932
430.671240.671016118190780.000223881809220394
440.665320.665426376700821-0.000106376700820809
450.671570.6594729936022620.0120970063977381
460.664280.669519271863657-0.00523927186365691
470.665760.660585085423840.00517491457616004
480.669420.6636890752824980.00573092471750158
490.68130.6691475520467010.0121524479532990
500.691440.6848412289574180.00659877104258255
510.698620.6970520529478520.00156794705214769
520.6950.704724105536185-0.0097241055361853
530.698670.698052490182370.000617509817629425
540.689680.701916276894536-0.0122362768945363
550.692330.6890862928151840.00324370718481615
560.682930.692754231854577-0.00982423185457715
570.683990.6802711948950030.00371880510499722
580.668950.682498228995365-0.0135482289953653
590.687560.6632065285725960.0243534714274040
600.685270.689459126346756-0.00418912634675639
610.67760.685854496200954-0.00825449620095431
620.681370.6755940731279940.00577592687200623
630.679330.681176672452378-0.00184667245237757
640.679220.6785571503577050.000662849642294572
650.685980.6786551655975820.00732483440241771
660.682970.687713842534334-0.00474384253433391
670.689350.6832151315510990.00613486844890088
680.694630.691520373793960.00310962620604016
690.68330.697776235588103-0.0144762355881026
700.686660.6819033084652220.0047566915347782
710.687820.6867560517172230.00106394828277678
720.676690.688249939590334-0.0115599395903344
730.675110.673492203444140.00161779655586047
740.672540.6724198997860640.000120100213935714
750.673970.6698875895926460.00408241040735358
760.672860.6725987301801580.000261269819842092
770.663410.671570721782445-0.00816072178244476
780.6680.6595597269642740.00844027303572614
790.680210.6667984504576960.0134115495423041
800.679340.683217258182935-0.00387725818293527
810.681360.6811304983937990.000229501606200944
820.675620.683222520506537-0.00760252050653742
830.67440.675096700214984-0.000696700214983803
840.677660.673658062000380.00400193799962001
850.688870.678173948765410.0106960512345895
860.696140.6927405797739080.00339942022609208
870.708960.701077384624740.00788261537525958
880.720640.716371104188750.00426889581124967







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
890.7293907675596350.7106038543397480.748177680779522
900.738141535119270.7071225147505820.769160555487957
910.7468923026789050.7033352921793360.790449313178473
920.755643070238540.6988313871076370.812454753369442
930.7643938377981750.6935223994826750.835265276113674
940.773144605357810.6873989811858470.858890229529773
950.7818953729174440.6804767363553380.883314009479551
960.790646140477080.672779424581140.908512856373019
970.7993969080367140.6643328517473860.934460964326043
980.808147675596350.6551624860760230.961132865116676
990.8168984431559840.6452925339786510.988504352333317
1000.825649210715620.6347456291040941.01655279232714

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
89 & 0.729390767559635 & 0.710603854339748 & 0.748177680779522 \tabularnewline
90 & 0.73814153511927 & 0.707122514750582 & 0.769160555487957 \tabularnewline
91 & 0.746892302678905 & 0.703335292179336 & 0.790449313178473 \tabularnewline
92 & 0.75564307023854 & 0.698831387107637 & 0.812454753369442 \tabularnewline
93 & 0.764393837798175 & 0.693522399482675 & 0.835265276113674 \tabularnewline
94 & 0.77314460535781 & 0.687398981185847 & 0.858890229529773 \tabularnewline
95 & 0.781895372917444 & 0.680476736355338 & 0.883314009479551 \tabularnewline
96 & 0.79064614047708 & 0.67277942458114 & 0.908512856373019 \tabularnewline
97 & 0.799396908036714 & 0.664332851747386 & 0.934460964326043 \tabularnewline
98 & 0.80814767559635 & 0.655162486076023 & 0.961132865116676 \tabularnewline
99 & 0.816898443155984 & 0.645292533978651 & 0.988504352333317 \tabularnewline
100 & 0.82564921071562 & 0.634745629104094 & 1.01655279232714 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36923&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]89[/C][C]0.729390767559635[/C][C]0.710603854339748[/C][C]0.748177680779522[/C][/ROW]
[ROW][C]90[/C][C]0.73814153511927[/C][C]0.707122514750582[/C][C]0.769160555487957[/C][/ROW]
[ROW][C]91[/C][C]0.746892302678905[/C][C]0.703335292179336[/C][C]0.790449313178473[/C][/ROW]
[ROW][C]92[/C][C]0.75564307023854[/C][C]0.698831387107637[/C][C]0.812454753369442[/C][/ROW]
[ROW][C]93[/C][C]0.764393837798175[/C][C]0.693522399482675[/C][C]0.835265276113674[/C][/ROW]
[ROW][C]94[/C][C]0.77314460535781[/C][C]0.687398981185847[/C][C]0.858890229529773[/C][/ROW]
[ROW][C]95[/C][C]0.781895372917444[/C][C]0.680476736355338[/C][C]0.883314009479551[/C][/ROW]
[ROW][C]96[/C][C]0.79064614047708[/C][C]0.67277942458114[/C][C]0.908512856373019[/C][/ROW]
[ROW][C]97[/C][C]0.799396908036714[/C][C]0.664332851747386[/C][C]0.934460964326043[/C][/ROW]
[ROW][C]98[/C][C]0.80814767559635[/C][C]0.655162486076023[/C][C]0.961132865116676[/C][/ROW]
[ROW][C]99[/C][C]0.816898443155984[/C][C]0.645292533978651[/C][C]0.988504352333317[/C][/ROW]
[ROW][C]100[/C][C]0.82564921071562[/C][C]0.634745629104094[/C][C]1.01655279232714[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36923&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36923&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
890.7293907675596350.7106038543397480.748177680779522
900.738141535119270.7071225147505820.769160555487957
910.7468923026789050.7033352921793360.790449313178473
920.755643070238540.6988313871076370.812454753369442
930.7643938377981750.6935223994826750.835265276113674
940.773144605357810.6873989811858470.858890229529773
950.7818953729174440.6804767363553380.883314009479551
960.790646140477080.672779424581140.908512856373019
970.7993969080367140.6643328517473860.934460964326043
980.808147675596350.6551624860760230.961132865116676
990.8168984431559840.6452925339786510.988504352333317
1000.825649210715620.6347456291040941.01655279232714



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')