Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 26 May 2010 16:43:38 +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/2010/May/26/t12748923288ikkzvfiau5wq66.htm/, Retrieved Fri, 03 May 2024 05:24:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76519, Retrieved Fri, 03 May 2024 05:24:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential smoot...] [2010-05-26 16:43:38] [d4eb12efc488666eba544481d350541e] [Current]
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Dataseries X:
1.1591
1.1203
1.0886
1.0701
1.0630
1.0377
1.0370
1.0605
1.0497
1.0706
1.0328
1.0110
1.0131
0.9834
0.9643
0.9449
0.9059
0.9505
0.9386
0.9045
0.8695
0.8525
0.8552
0.8983
0.9376
0.9205
0.9083
0.8925
0.8753
0.8530
0.8615
0.9014
0.9114
0.9050
0.8883
0.8912
0.8832
0.8707
0.8766
0.8860
0.9170
0.9561
0.9935
0.9781
0.9806
0.9812
1.0013
1.0194
1.0622
1.0785
1.0797
1.0862
1.1556
1.1674
1.1365
1.1155
1.1267
1.1714
1.1710
1.2298
1.2638
1.2640
1.2261
1.1989
1.2000
1.2146
1.2266
1.2191
1.2224
1.2507
1.2997
1.3406
1.3123
1.3013
1.3185
1.2943
1.2697
1.2155
1.2041
1.2295
1.2234
1.2022
1.1789
1.1861
1.2126
1.1940
1.2028
1.2273
1.2767
1.2661
1.2681
1.2810
1.2722
1.2617
1.2888
1.3205
1.2993
1.3080
1.3246
1.3513
1.3518
1.3421
1.3726
1.3626
1.3910
1.4233
1.4683
1.4559
1.4728
1.4759
1.5520
1.5754
1.5554
1.5562
1.5759
1.4955
1.4342
1.3266
1.2744
1.3511
1.3244
1.2797
1.3050
1.3199
1.3646
1.4014
1.4092
1.4266
1.4575
1.4821
1.4908
1.4579




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76519&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76519&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76519&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.140884622689867
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.140884622689867 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76519&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]0.140884622689867[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76519&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76519&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
beta0.140884622689867
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31.08861.08150.00709999999999988
41.07011.050800280821100.0192997191789019
51.0631.035019314475640.0279806855243618
61.03771.031861362798340.00583863720165856
71.0371.007383936997520.0296160630024795
81.06051.010856384859180.0496436151408162
91.04971.041350406847260.0083495931527413
101.07061.031726736128200.0388732638718032
111.03281.0581033812415-0.0253033812414993
121.0111.01673852392251-0.00573852392251273
131.01310.9941300541448930.0189699458551071
140.98340.998902627809137-0.0155026278091366
150.96430.967018545939545-0.00271854593954513
160.94490.947535544620587-0.00263554462058735
170.90590.927764236911133-0.0218642369111334
180.95050.8856839021435070.0648160978564933
190.93860.939415493634248-0.000815493634248154
200.90450.927400603121281-0.0229006031212812
210.86950.890074260291169-0.0205742602911689
220.85250.8521756633929250.000324336607075426
230.85520.8352213574334370.019978642566563
240.89830.8407360409532830.0575639590467172
250.93760.8919459176041150.0456540823958854
260.92050.937677875776711-0.0171778757767109
270.90830.918157777229296-0.0098577772292956
280.89250.904568968003786-0.0120689680037857
290.87530.887068636000316-0.0117686360003162
300.8530.868210616157837-0.0152106161578373
310.86150.843767674239560.0177323257604401
320.90140.8547658862637330.0466341137362666
330.91140.9012359157819440.0101640842180564
340.9050.912667878951993-0.0076678789519925
350.88830.90518759271901-0.0168875927190095
360.89120.8861083905906520.00509160940934827
370.88320.889725720061172-0.00652572006117191
380.87070.880806346452574-0.0101063464525739
390.87660.866882517645830.00971748235417003
400.8860.8741515614807930.0118484385192072
410.9170.8852208242710350.0317791757289647
420.95610.9206980214530050.0354019785469945
430.99350.9647856158430740.0287143841569265
440.97811.00623103102079-0.0281310310207941
450.98060.986867801329553-0.00626780132955251
460.98120.988484764504143-0.0072847645041435
471.00130.9880584532055930.0132415467944075
481.01941.010023983529550.00937601647044706
491.06221.029444920072330.0327550799276741
501.07851.076859607149110.00164039285088724
511.07971.09339071327697-0.0136907132769730
521.08621.09266190230259-0.00646190230259158
531.15561.098251519634830.0573484803651678
541.16741.17573103865292-0.00833103865291607
551.13651.18635732341569-0.0498573234156852
561.11551.14843319321794-0.03293319321794
571.12671.122793412717460.00390658728254212
581.17141.134543790792760.0368562092072362
591.1711.18443626392070-0.0134362639207042
601.22981.182143300947870.0476566990521257
611.26381.247657397012480.0161426029875225
621.2641.28393164154361-0.0199316415436070
631.22611.28132357974515-0.0552235797451464
641.19891.23564342654917-0.0367434265491673
651.21.20326684276346-0.00326684276345524
661.21461.203906594853340.0106934051466612
671.22661.220013131202700.00658686879730408
681.21911.23294111972791-0.0138411197279116
691.22241.22349111879744-0.00109111879743984
701.25071.226637396937350.0240626030626474
711.29971.258327447690770.0413725523092305
721.34061.313156204112570.0274437958874276
731.31231.35792261294135-0.0456226129413504
741.30131.32319508833098-0.0218950883309825
751.31851.309110407072710.00938959292728958
761.29431.32763325632948-0.0333332563294833
771.26971.29873711308848-0.0290371130884792
781.21551.27004623036701-0.0545462303670059
791.20411.20816150528260-0.00406150528259586
801.22951.196189301643300.0333106983566958
811.22341.22628226681282-0.00288226681282344
821.20221.21977619974041-0.0175761997404074
831.17891.19609998347166-0.0171999834716581
841.18611.170376770289980.0157232297100180
851.21261.179791931575140.0328080684248562
861.1941.21091408391636-0.0169140839163628
871.20281.189931149585660.0128688504143388
881.22731.200544172720740.0267558272792621
891.27671.228813657351730.0478863426482679
901.26611.28496010666773-0.0188601066677307
911.26811.27170300765596-0.003603007655957
921.2811.27319539928180.0078046007182011
931.27221.28719494750923-0.0149949475092275
941.26171.27628238998714-0.0145823899871356
951.28881.263727955475880.0250720445241184
961.32051.294360221008730.0261397789912745
971.29931.32974291390911-0.0304429139091078
981.3081.304253975469440.00374602453055717
991.32461.313481732722020.0111182672779824
1001.35131.331648125612440.0196518743875587
1011.35181.36111677252068-0.00931677252068108
1021.34211.36030418253942-0.0182041825394175
1031.37261.348039493150970.0245605068490258
1041.36261.38199969089147-0.0193996908914711
1051.3911.369266572759930.0217334272400738
1061.42331.400728478456400.0225715215435984
1071.46831.436208458752610.0320915412473921
1081.45591.48572966343278-0.0298296634327828
1091.47281.469127122555090.00367287744491063
1101.47591.48654457450810-0.0106445745081021
1111.5521.488144917644830.0638550823551662
1121.57541.573241116829270.00215888317072821
1131.55541.59694527027021-0.0415452702702113
1141.55621.57109218054364-0.0148921805436439
1151.57591.569794101306720.00610589869327671
1161.49551.59035432854031-0.0948543285403083
1171.43421.49659081225341-0.0623908122534063
1181.32661.42650090620977-0.0999009062097707
1191.27441.30482640473203-0.0304264047320315
1201.35111.248339792181550.10276020781845
1211.32441.33951712528758-0.0151171252875846
1221.27971.31068735479529-0.0309873547952877
1231.3051.261621713006800.0433782869932031
1241.31991.293033046602770.0268669533972332
1251.36461.311718187194960.0528818128050377
1261.40141.363868421439160.0375315785608437
1271.40921.405956043723660.00324395627634422
1281.42661.414213067279670.0123869327203292
1291.45751.433358195622260.0241418043777406
1301.48211.467659404623070.01444059537693
1311.49081.49429386245417-0.00349386245416583
1321.45791.50250163096058-0.0446016309605801

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 1.0886 & 1.0815 & 0.00709999999999988 \tabularnewline
4 & 1.0701 & 1.05080028082110 & 0.0192997191789019 \tabularnewline
5 & 1.063 & 1.03501931447564 & 0.0279806855243618 \tabularnewline
6 & 1.0377 & 1.03186136279834 & 0.00583863720165856 \tabularnewline
7 & 1.037 & 1.00738393699752 & 0.0296160630024795 \tabularnewline
8 & 1.0605 & 1.01085638485918 & 0.0496436151408162 \tabularnewline
9 & 1.0497 & 1.04135040684726 & 0.0083495931527413 \tabularnewline
10 & 1.0706 & 1.03172673612820 & 0.0388732638718032 \tabularnewline
11 & 1.0328 & 1.0581033812415 & -0.0253033812414993 \tabularnewline
12 & 1.011 & 1.01673852392251 & -0.00573852392251273 \tabularnewline
13 & 1.0131 & 0.994130054144893 & 0.0189699458551071 \tabularnewline
14 & 0.9834 & 0.998902627809137 & -0.0155026278091366 \tabularnewline
15 & 0.9643 & 0.967018545939545 & -0.00271854593954513 \tabularnewline
16 & 0.9449 & 0.947535544620587 & -0.00263554462058735 \tabularnewline
17 & 0.9059 & 0.927764236911133 & -0.0218642369111334 \tabularnewline
18 & 0.9505 & 0.885683902143507 & 0.0648160978564933 \tabularnewline
19 & 0.9386 & 0.939415493634248 & -0.000815493634248154 \tabularnewline
20 & 0.9045 & 0.927400603121281 & -0.0229006031212812 \tabularnewline
21 & 0.8695 & 0.890074260291169 & -0.0205742602911689 \tabularnewline
22 & 0.8525 & 0.852175663392925 & 0.000324336607075426 \tabularnewline
23 & 0.8552 & 0.835221357433437 & 0.019978642566563 \tabularnewline
24 & 0.8983 & 0.840736040953283 & 0.0575639590467172 \tabularnewline
25 & 0.9376 & 0.891945917604115 & 0.0456540823958854 \tabularnewline
26 & 0.9205 & 0.937677875776711 & -0.0171778757767109 \tabularnewline
27 & 0.9083 & 0.918157777229296 & -0.0098577772292956 \tabularnewline
28 & 0.8925 & 0.904568968003786 & -0.0120689680037857 \tabularnewline
29 & 0.8753 & 0.887068636000316 & -0.0117686360003162 \tabularnewline
30 & 0.853 & 0.868210616157837 & -0.0152106161578373 \tabularnewline
31 & 0.8615 & 0.84376767423956 & 0.0177323257604401 \tabularnewline
32 & 0.9014 & 0.854765886263733 & 0.0466341137362666 \tabularnewline
33 & 0.9114 & 0.901235915781944 & 0.0101640842180564 \tabularnewline
34 & 0.905 & 0.912667878951993 & -0.0076678789519925 \tabularnewline
35 & 0.8883 & 0.90518759271901 & -0.0168875927190095 \tabularnewline
36 & 0.8912 & 0.886108390590652 & 0.00509160940934827 \tabularnewline
37 & 0.8832 & 0.889725720061172 & -0.00652572006117191 \tabularnewline
38 & 0.8707 & 0.880806346452574 & -0.0101063464525739 \tabularnewline
39 & 0.8766 & 0.86688251764583 & 0.00971748235417003 \tabularnewline
40 & 0.886 & 0.874151561480793 & 0.0118484385192072 \tabularnewline
41 & 0.917 & 0.885220824271035 & 0.0317791757289647 \tabularnewline
42 & 0.9561 & 0.920698021453005 & 0.0354019785469945 \tabularnewline
43 & 0.9935 & 0.964785615843074 & 0.0287143841569265 \tabularnewline
44 & 0.9781 & 1.00623103102079 & -0.0281310310207941 \tabularnewline
45 & 0.9806 & 0.986867801329553 & -0.00626780132955251 \tabularnewline
46 & 0.9812 & 0.988484764504143 & -0.0072847645041435 \tabularnewline
47 & 1.0013 & 0.988058453205593 & 0.0132415467944075 \tabularnewline
48 & 1.0194 & 1.01002398352955 & 0.00937601647044706 \tabularnewline
49 & 1.0622 & 1.02944492007233 & 0.0327550799276741 \tabularnewline
50 & 1.0785 & 1.07685960714911 & 0.00164039285088724 \tabularnewline
51 & 1.0797 & 1.09339071327697 & -0.0136907132769730 \tabularnewline
52 & 1.0862 & 1.09266190230259 & -0.00646190230259158 \tabularnewline
53 & 1.1556 & 1.09825151963483 & 0.0573484803651678 \tabularnewline
54 & 1.1674 & 1.17573103865292 & -0.00833103865291607 \tabularnewline
55 & 1.1365 & 1.18635732341569 & -0.0498573234156852 \tabularnewline
56 & 1.1155 & 1.14843319321794 & -0.03293319321794 \tabularnewline
57 & 1.1267 & 1.12279341271746 & 0.00390658728254212 \tabularnewline
58 & 1.1714 & 1.13454379079276 & 0.0368562092072362 \tabularnewline
59 & 1.171 & 1.18443626392070 & -0.0134362639207042 \tabularnewline
60 & 1.2298 & 1.18214330094787 & 0.0476566990521257 \tabularnewline
61 & 1.2638 & 1.24765739701248 & 0.0161426029875225 \tabularnewline
62 & 1.264 & 1.28393164154361 & -0.0199316415436070 \tabularnewline
63 & 1.2261 & 1.28132357974515 & -0.0552235797451464 \tabularnewline
64 & 1.1989 & 1.23564342654917 & -0.0367434265491673 \tabularnewline
65 & 1.2 & 1.20326684276346 & -0.00326684276345524 \tabularnewline
66 & 1.2146 & 1.20390659485334 & 0.0106934051466612 \tabularnewline
67 & 1.2266 & 1.22001313120270 & 0.00658686879730408 \tabularnewline
68 & 1.2191 & 1.23294111972791 & -0.0138411197279116 \tabularnewline
69 & 1.2224 & 1.22349111879744 & -0.00109111879743984 \tabularnewline
70 & 1.2507 & 1.22663739693735 & 0.0240626030626474 \tabularnewline
71 & 1.2997 & 1.25832744769077 & 0.0413725523092305 \tabularnewline
72 & 1.3406 & 1.31315620411257 & 0.0274437958874276 \tabularnewline
73 & 1.3123 & 1.35792261294135 & -0.0456226129413504 \tabularnewline
74 & 1.3013 & 1.32319508833098 & -0.0218950883309825 \tabularnewline
75 & 1.3185 & 1.30911040707271 & 0.00938959292728958 \tabularnewline
76 & 1.2943 & 1.32763325632948 & -0.0333332563294833 \tabularnewline
77 & 1.2697 & 1.29873711308848 & -0.0290371130884792 \tabularnewline
78 & 1.2155 & 1.27004623036701 & -0.0545462303670059 \tabularnewline
79 & 1.2041 & 1.20816150528260 & -0.00406150528259586 \tabularnewline
80 & 1.2295 & 1.19618930164330 & 0.0333106983566958 \tabularnewline
81 & 1.2234 & 1.22628226681282 & -0.00288226681282344 \tabularnewline
82 & 1.2022 & 1.21977619974041 & -0.0175761997404074 \tabularnewline
83 & 1.1789 & 1.19609998347166 & -0.0171999834716581 \tabularnewline
84 & 1.1861 & 1.17037677028998 & 0.0157232297100180 \tabularnewline
85 & 1.2126 & 1.17979193157514 & 0.0328080684248562 \tabularnewline
86 & 1.194 & 1.21091408391636 & -0.0169140839163628 \tabularnewline
87 & 1.2028 & 1.18993114958566 & 0.0128688504143388 \tabularnewline
88 & 1.2273 & 1.20054417272074 & 0.0267558272792621 \tabularnewline
89 & 1.2767 & 1.22881365735173 & 0.0478863426482679 \tabularnewline
90 & 1.2661 & 1.28496010666773 & -0.0188601066677307 \tabularnewline
91 & 1.2681 & 1.27170300765596 & -0.003603007655957 \tabularnewline
92 & 1.281 & 1.2731953992818 & 0.0078046007182011 \tabularnewline
93 & 1.2722 & 1.28719494750923 & -0.0149949475092275 \tabularnewline
94 & 1.2617 & 1.27628238998714 & -0.0145823899871356 \tabularnewline
95 & 1.2888 & 1.26372795547588 & 0.0250720445241184 \tabularnewline
96 & 1.3205 & 1.29436022100873 & 0.0261397789912745 \tabularnewline
97 & 1.2993 & 1.32974291390911 & -0.0304429139091078 \tabularnewline
98 & 1.308 & 1.30425397546944 & 0.00374602453055717 \tabularnewline
99 & 1.3246 & 1.31348173272202 & 0.0111182672779824 \tabularnewline
100 & 1.3513 & 1.33164812561244 & 0.0196518743875587 \tabularnewline
101 & 1.3518 & 1.36111677252068 & -0.00931677252068108 \tabularnewline
102 & 1.3421 & 1.36030418253942 & -0.0182041825394175 \tabularnewline
103 & 1.3726 & 1.34803949315097 & 0.0245605068490258 \tabularnewline
104 & 1.3626 & 1.38199969089147 & -0.0193996908914711 \tabularnewline
105 & 1.391 & 1.36926657275993 & 0.0217334272400738 \tabularnewline
106 & 1.4233 & 1.40072847845640 & 0.0225715215435984 \tabularnewline
107 & 1.4683 & 1.43620845875261 & 0.0320915412473921 \tabularnewline
108 & 1.4559 & 1.48572966343278 & -0.0298296634327828 \tabularnewline
109 & 1.4728 & 1.46912712255509 & 0.00367287744491063 \tabularnewline
110 & 1.4759 & 1.48654457450810 & -0.0106445745081021 \tabularnewline
111 & 1.552 & 1.48814491764483 & 0.0638550823551662 \tabularnewline
112 & 1.5754 & 1.57324111682927 & 0.00215888317072821 \tabularnewline
113 & 1.5554 & 1.59694527027021 & -0.0415452702702113 \tabularnewline
114 & 1.5562 & 1.57109218054364 & -0.0148921805436439 \tabularnewline
115 & 1.5759 & 1.56979410130672 & 0.00610589869327671 \tabularnewline
116 & 1.4955 & 1.59035432854031 & -0.0948543285403083 \tabularnewline
117 & 1.4342 & 1.49659081225341 & -0.0623908122534063 \tabularnewline
118 & 1.3266 & 1.42650090620977 & -0.0999009062097707 \tabularnewline
119 & 1.2744 & 1.30482640473203 & -0.0304264047320315 \tabularnewline
120 & 1.3511 & 1.24833979218155 & 0.10276020781845 \tabularnewline
121 & 1.3244 & 1.33951712528758 & -0.0151171252875846 \tabularnewline
122 & 1.2797 & 1.31068735479529 & -0.0309873547952877 \tabularnewline
123 & 1.305 & 1.26162171300680 & 0.0433782869932031 \tabularnewline
124 & 1.3199 & 1.29303304660277 & 0.0268669533972332 \tabularnewline
125 & 1.3646 & 1.31171818719496 & 0.0528818128050377 \tabularnewline
126 & 1.4014 & 1.36386842143916 & 0.0375315785608437 \tabularnewline
127 & 1.4092 & 1.40595604372366 & 0.00324395627634422 \tabularnewline
128 & 1.4266 & 1.41421306727967 & 0.0123869327203292 \tabularnewline
129 & 1.4575 & 1.43335819562226 & 0.0241418043777406 \tabularnewline
130 & 1.4821 & 1.46765940462307 & 0.01444059537693 \tabularnewline
131 & 1.4908 & 1.49429386245417 & -0.00349386245416583 \tabularnewline
132 & 1.4579 & 1.50250163096058 & -0.0446016309605801 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76519&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]1.0886[/C][C]1.0815[/C][C]0.00709999999999988[/C][/ROW]
[ROW][C]4[/C][C]1.0701[/C][C]1.05080028082110[/C][C]0.0192997191789019[/C][/ROW]
[ROW][C]5[/C][C]1.063[/C][C]1.03501931447564[/C][C]0.0279806855243618[/C][/ROW]
[ROW][C]6[/C][C]1.0377[/C][C]1.03186136279834[/C][C]0.00583863720165856[/C][/ROW]
[ROW][C]7[/C][C]1.037[/C][C]1.00738393699752[/C][C]0.0296160630024795[/C][/ROW]
[ROW][C]8[/C][C]1.0605[/C][C]1.01085638485918[/C][C]0.0496436151408162[/C][/ROW]
[ROW][C]9[/C][C]1.0497[/C][C]1.04135040684726[/C][C]0.0083495931527413[/C][/ROW]
[ROW][C]10[/C][C]1.0706[/C][C]1.03172673612820[/C][C]0.0388732638718032[/C][/ROW]
[ROW][C]11[/C][C]1.0328[/C][C]1.0581033812415[/C][C]-0.0253033812414993[/C][/ROW]
[ROW][C]12[/C][C]1.011[/C][C]1.01673852392251[/C][C]-0.00573852392251273[/C][/ROW]
[ROW][C]13[/C][C]1.0131[/C][C]0.994130054144893[/C][C]0.0189699458551071[/C][/ROW]
[ROW][C]14[/C][C]0.9834[/C][C]0.998902627809137[/C][C]-0.0155026278091366[/C][/ROW]
[ROW][C]15[/C][C]0.9643[/C][C]0.967018545939545[/C][C]-0.00271854593954513[/C][/ROW]
[ROW][C]16[/C][C]0.9449[/C][C]0.947535544620587[/C][C]-0.00263554462058735[/C][/ROW]
[ROW][C]17[/C][C]0.9059[/C][C]0.927764236911133[/C][C]-0.0218642369111334[/C][/ROW]
[ROW][C]18[/C][C]0.9505[/C][C]0.885683902143507[/C][C]0.0648160978564933[/C][/ROW]
[ROW][C]19[/C][C]0.9386[/C][C]0.939415493634248[/C][C]-0.000815493634248154[/C][/ROW]
[ROW][C]20[/C][C]0.9045[/C][C]0.927400603121281[/C][C]-0.0229006031212812[/C][/ROW]
[ROW][C]21[/C][C]0.8695[/C][C]0.890074260291169[/C][C]-0.0205742602911689[/C][/ROW]
[ROW][C]22[/C][C]0.8525[/C][C]0.852175663392925[/C][C]0.000324336607075426[/C][/ROW]
[ROW][C]23[/C][C]0.8552[/C][C]0.835221357433437[/C][C]0.019978642566563[/C][/ROW]
[ROW][C]24[/C][C]0.8983[/C][C]0.840736040953283[/C][C]0.0575639590467172[/C][/ROW]
[ROW][C]25[/C][C]0.9376[/C][C]0.891945917604115[/C][C]0.0456540823958854[/C][/ROW]
[ROW][C]26[/C][C]0.9205[/C][C]0.937677875776711[/C][C]-0.0171778757767109[/C][/ROW]
[ROW][C]27[/C][C]0.9083[/C][C]0.918157777229296[/C][C]-0.0098577772292956[/C][/ROW]
[ROW][C]28[/C][C]0.8925[/C][C]0.904568968003786[/C][C]-0.0120689680037857[/C][/ROW]
[ROW][C]29[/C][C]0.8753[/C][C]0.887068636000316[/C][C]-0.0117686360003162[/C][/ROW]
[ROW][C]30[/C][C]0.853[/C][C]0.868210616157837[/C][C]-0.0152106161578373[/C][/ROW]
[ROW][C]31[/C][C]0.8615[/C][C]0.84376767423956[/C][C]0.0177323257604401[/C][/ROW]
[ROW][C]32[/C][C]0.9014[/C][C]0.854765886263733[/C][C]0.0466341137362666[/C][/ROW]
[ROW][C]33[/C][C]0.9114[/C][C]0.901235915781944[/C][C]0.0101640842180564[/C][/ROW]
[ROW][C]34[/C][C]0.905[/C][C]0.912667878951993[/C][C]-0.0076678789519925[/C][/ROW]
[ROW][C]35[/C][C]0.8883[/C][C]0.90518759271901[/C][C]-0.0168875927190095[/C][/ROW]
[ROW][C]36[/C][C]0.8912[/C][C]0.886108390590652[/C][C]0.00509160940934827[/C][/ROW]
[ROW][C]37[/C][C]0.8832[/C][C]0.889725720061172[/C][C]-0.00652572006117191[/C][/ROW]
[ROW][C]38[/C][C]0.8707[/C][C]0.880806346452574[/C][C]-0.0101063464525739[/C][/ROW]
[ROW][C]39[/C][C]0.8766[/C][C]0.86688251764583[/C][C]0.00971748235417003[/C][/ROW]
[ROW][C]40[/C][C]0.886[/C][C]0.874151561480793[/C][C]0.0118484385192072[/C][/ROW]
[ROW][C]41[/C][C]0.917[/C][C]0.885220824271035[/C][C]0.0317791757289647[/C][/ROW]
[ROW][C]42[/C][C]0.9561[/C][C]0.920698021453005[/C][C]0.0354019785469945[/C][/ROW]
[ROW][C]43[/C][C]0.9935[/C][C]0.964785615843074[/C][C]0.0287143841569265[/C][/ROW]
[ROW][C]44[/C][C]0.9781[/C][C]1.00623103102079[/C][C]-0.0281310310207941[/C][/ROW]
[ROW][C]45[/C][C]0.9806[/C][C]0.986867801329553[/C][C]-0.00626780132955251[/C][/ROW]
[ROW][C]46[/C][C]0.9812[/C][C]0.988484764504143[/C][C]-0.0072847645041435[/C][/ROW]
[ROW][C]47[/C][C]1.0013[/C][C]0.988058453205593[/C][C]0.0132415467944075[/C][/ROW]
[ROW][C]48[/C][C]1.0194[/C][C]1.01002398352955[/C][C]0.00937601647044706[/C][/ROW]
[ROW][C]49[/C][C]1.0622[/C][C]1.02944492007233[/C][C]0.0327550799276741[/C][/ROW]
[ROW][C]50[/C][C]1.0785[/C][C]1.07685960714911[/C][C]0.00164039285088724[/C][/ROW]
[ROW][C]51[/C][C]1.0797[/C][C]1.09339071327697[/C][C]-0.0136907132769730[/C][/ROW]
[ROW][C]52[/C][C]1.0862[/C][C]1.09266190230259[/C][C]-0.00646190230259158[/C][/ROW]
[ROW][C]53[/C][C]1.1556[/C][C]1.09825151963483[/C][C]0.0573484803651678[/C][/ROW]
[ROW][C]54[/C][C]1.1674[/C][C]1.17573103865292[/C][C]-0.00833103865291607[/C][/ROW]
[ROW][C]55[/C][C]1.1365[/C][C]1.18635732341569[/C][C]-0.0498573234156852[/C][/ROW]
[ROW][C]56[/C][C]1.1155[/C][C]1.14843319321794[/C][C]-0.03293319321794[/C][/ROW]
[ROW][C]57[/C][C]1.1267[/C][C]1.12279341271746[/C][C]0.00390658728254212[/C][/ROW]
[ROW][C]58[/C][C]1.1714[/C][C]1.13454379079276[/C][C]0.0368562092072362[/C][/ROW]
[ROW][C]59[/C][C]1.171[/C][C]1.18443626392070[/C][C]-0.0134362639207042[/C][/ROW]
[ROW][C]60[/C][C]1.2298[/C][C]1.18214330094787[/C][C]0.0476566990521257[/C][/ROW]
[ROW][C]61[/C][C]1.2638[/C][C]1.24765739701248[/C][C]0.0161426029875225[/C][/ROW]
[ROW][C]62[/C][C]1.264[/C][C]1.28393164154361[/C][C]-0.0199316415436070[/C][/ROW]
[ROW][C]63[/C][C]1.2261[/C][C]1.28132357974515[/C][C]-0.0552235797451464[/C][/ROW]
[ROW][C]64[/C][C]1.1989[/C][C]1.23564342654917[/C][C]-0.0367434265491673[/C][/ROW]
[ROW][C]65[/C][C]1.2[/C][C]1.20326684276346[/C][C]-0.00326684276345524[/C][/ROW]
[ROW][C]66[/C][C]1.2146[/C][C]1.20390659485334[/C][C]0.0106934051466612[/C][/ROW]
[ROW][C]67[/C][C]1.2266[/C][C]1.22001313120270[/C][C]0.00658686879730408[/C][/ROW]
[ROW][C]68[/C][C]1.2191[/C][C]1.23294111972791[/C][C]-0.0138411197279116[/C][/ROW]
[ROW][C]69[/C][C]1.2224[/C][C]1.22349111879744[/C][C]-0.00109111879743984[/C][/ROW]
[ROW][C]70[/C][C]1.2507[/C][C]1.22663739693735[/C][C]0.0240626030626474[/C][/ROW]
[ROW][C]71[/C][C]1.2997[/C][C]1.25832744769077[/C][C]0.0413725523092305[/C][/ROW]
[ROW][C]72[/C][C]1.3406[/C][C]1.31315620411257[/C][C]0.0274437958874276[/C][/ROW]
[ROW][C]73[/C][C]1.3123[/C][C]1.35792261294135[/C][C]-0.0456226129413504[/C][/ROW]
[ROW][C]74[/C][C]1.3013[/C][C]1.32319508833098[/C][C]-0.0218950883309825[/C][/ROW]
[ROW][C]75[/C][C]1.3185[/C][C]1.30911040707271[/C][C]0.00938959292728958[/C][/ROW]
[ROW][C]76[/C][C]1.2943[/C][C]1.32763325632948[/C][C]-0.0333332563294833[/C][/ROW]
[ROW][C]77[/C][C]1.2697[/C][C]1.29873711308848[/C][C]-0.0290371130884792[/C][/ROW]
[ROW][C]78[/C][C]1.2155[/C][C]1.27004623036701[/C][C]-0.0545462303670059[/C][/ROW]
[ROW][C]79[/C][C]1.2041[/C][C]1.20816150528260[/C][C]-0.00406150528259586[/C][/ROW]
[ROW][C]80[/C][C]1.2295[/C][C]1.19618930164330[/C][C]0.0333106983566958[/C][/ROW]
[ROW][C]81[/C][C]1.2234[/C][C]1.22628226681282[/C][C]-0.00288226681282344[/C][/ROW]
[ROW][C]82[/C][C]1.2022[/C][C]1.21977619974041[/C][C]-0.0175761997404074[/C][/ROW]
[ROW][C]83[/C][C]1.1789[/C][C]1.19609998347166[/C][C]-0.0171999834716581[/C][/ROW]
[ROW][C]84[/C][C]1.1861[/C][C]1.17037677028998[/C][C]0.0157232297100180[/C][/ROW]
[ROW][C]85[/C][C]1.2126[/C][C]1.17979193157514[/C][C]0.0328080684248562[/C][/ROW]
[ROW][C]86[/C][C]1.194[/C][C]1.21091408391636[/C][C]-0.0169140839163628[/C][/ROW]
[ROW][C]87[/C][C]1.2028[/C][C]1.18993114958566[/C][C]0.0128688504143388[/C][/ROW]
[ROW][C]88[/C][C]1.2273[/C][C]1.20054417272074[/C][C]0.0267558272792621[/C][/ROW]
[ROW][C]89[/C][C]1.2767[/C][C]1.22881365735173[/C][C]0.0478863426482679[/C][/ROW]
[ROW][C]90[/C][C]1.2661[/C][C]1.28496010666773[/C][C]-0.0188601066677307[/C][/ROW]
[ROW][C]91[/C][C]1.2681[/C][C]1.27170300765596[/C][C]-0.003603007655957[/C][/ROW]
[ROW][C]92[/C][C]1.281[/C][C]1.2731953992818[/C][C]0.0078046007182011[/C][/ROW]
[ROW][C]93[/C][C]1.2722[/C][C]1.28719494750923[/C][C]-0.0149949475092275[/C][/ROW]
[ROW][C]94[/C][C]1.2617[/C][C]1.27628238998714[/C][C]-0.0145823899871356[/C][/ROW]
[ROW][C]95[/C][C]1.2888[/C][C]1.26372795547588[/C][C]0.0250720445241184[/C][/ROW]
[ROW][C]96[/C][C]1.3205[/C][C]1.29436022100873[/C][C]0.0261397789912745[/C][/ROW]
[ROW][C]97[/C][C]1.2993[/C][C]1.32974291390911[/C][C]-0.0304429139091078[/C][/ROW]
[ROW][C]98[/C][C]1.308[/C][C]1.30425397546944[/C][C]0.00374602453055717[/C][/ROW]
[ROW][C]99[/C][C]1.3246[/C][C]1.31348173272202[/C][C]0.0111182672779824[/C][/ROW]
[ROW][C]100[/C][C]1.3513[/C][C]1.33164812561244[/C][C]0.0196518743875587[/C][/ROW]
[ROW][C]101[/C][C]1.3518[/C][C]1.36111677252068[/C][C]-0.00931677252068108[/C][/ROW]
[ROW][C]102[/C][C]1.3421[/C][C]1.36030418253942[/C][C]-0.0182041825394175[/C][/ROW]
[ROW][C]103[/C][C]1.3726[/C][C]1.34803949315097[/C][C]0.0245605068490258[/C][/ROW]
[ROW][C]104[/C][C]1.3626[/C][C]1.38199969089147[/C][C]-0.0193996908914711[/C][/ROW]
[ROW][C]105[/C][C]1.391[/C][C]1.36926657275993[/C][C]0.0217334272400738[/C][/ROW]
[ROW][C]106[/C][C]1.4233[/C][C]1.40072847845640[/C][C]0.0225715215435984[/C][/ROW]
[ROW][C]107[/C][C]1.4683[/C][C]1.43620845875261[/C][C]0.0320915412473921[/C][/ROW]
[ROW][C]108[/C][C]1.4559[/C][C]1.48572966343278[/C][C]-0.0298296634327828[/C][/ROW]
[ROW][C]109[/C][C]1.4728[/C][C]1.46912712255509[/C][C]0.00367287744491063[/C][/ROW]
[ROW][C]110[/C][C]1.4759[/C][C]1.48654457450810[/C][C]-0.0106445745081021[/C][/ROW]
[ROW][C]111[/C][C]1.552[/C][C]1.48814491764483[/C][C]0.0638550823551662[/C][/ROW]
[ROW][C]112[/C][C]1.5754[/C][C]1.57324111682927[/C][C]0.00215888317072821[/C][/ROW]
[ROW][C]113[/C][C]1.5554[/C][C]1.59694527027021[/C][C]-0.0415452702702113[/C][/ROW]
[ROW][C]114[/C][C]1.5562[/C][C]1.57109218054364[/C][C]-0.0148921805436439[/C][/ROW]
[ROW][C]115[/C][C]1.5759[/C][C]1.56979410130672[/C][C]0.00610589869327671[/C][/ROW]
[ROW][C]116[/C][C]1.4955[/C][C]1.59035432854031[/C][C]-0.0948543285403083[/C][/ROW]
[ROW][C]117[/C][C]1.4342[/C][C]1.49659081225341[/C][C]-0.0623908122534063[/C][/ROW]
[ROW][C]118[/C][C]1.3266[/C][C]1.42650090620977[/C][C]-0.0999009062097707[/C][/ROW]
[ROW][C]119[/C][C]1.2744[/C][C]1.30482640473203[/C][C]-0.0304264047320315[/C][/ROW]
[ROW][C]120[/C][C]1.3511[/C][C]1.24833979218155[/C][C]0.10276020781845[/C][/ROW]
[ROW][C]121[/C][C]1.3244[/C][C]1.33951712528758[/C][C]-0.0151171252875846[/C][/ROW]
[ROW][C]122[/C][C]1.2797[/C][C]1.31068735479529[/C][C]-0.0309873547952877[/C][/ROW]
[ROW][C]123[/C][C]1.305[/C][C]1.26162171300680[/C][C]0.0433782869932031[/C][/ROW]
[ROW][C]124[/C][C]1.3199[/C][C]1.29303304660277[/C][C]0.0268669533972332[/C][/ROW]
[ROW][C]125[/C][C]1.3646[/C][C]1.31171818719496[/C][C]0.0528818128050377[/C][/ROW]
[ROW][C]126[/C][C]1.4014[/C][C]1.36386842143916[/C][C]0.0375315785608437[/C][/ROW]
[ROW][C]127[/C][C]1.4092[/C][C]1.40595604372366[/C][C]0.00324395627634422[/C][/ROW]
[ROW][C]128[/C][C]1.4266[/C][C]1.41421306727967[/C][C]0.0123869327203292[/C][/ROW]
[ROW][C]129[/C][C]1.4575[/C][C]1.43335819562226[/C][C]0.0241418043777406[/C][/ROW]
[ROW][C]130[/C][C]1.4821[/C][C]1.46765940462307[/C][C]0.01444059537693[/C][/ROW]
[ROW][C]131[/C][C]1.4908[/C][C]1.49429386245417[/C][C]-0.00349386245416583[/C][/ROW]
[ROW][C]132[/C][C]1.4579[/C][C]1.50250163096058[/C][C]-0.0446016309605801[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76519&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76519&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
31.08861.08150.00709999999999988
41.07011.050800280821100.0192997191789019
51.0631.035019314475640.0279806855243618
61.03771.031861362798340.00583863720165856
71.0371.007383936997520.0296160630024795
81.06051.010856384859180.0496436151408162
91.04971.041350406847260.0083495931527413
101.07061.031726736128200.0388732638718032
111.03281.0581033812415-0.0253033812414993
121.0111.01673852392251-0.00573852392251273
131.01310.9941300541448930.0189699458551071
140.98340.998902627809137-0.0155026278091366
150.96430.967018545939545-0.00271854593954513
160.94490.947535544620587-0.00263554462058735
170.90590.927764236911133-0.0218642369111334
180.95050.8856839021435070.0648160978564933
190.93860.939415493634248-0.000815493634248154
200.90450.927400603121281-0.0229006031212812
210.86950.890074260291169-0.0205742602911689
220.85250.8521756633929250.000324336607075426
230.85520.8352213574334370.019978642566563
240.89830.8407360409532830.0575639590467172
250.93760.8919459176041150.0456540823958854
260.92050.937677875776711-0.0171778757767109
270.90830.918157777229296-0.0098577772292956
280.89250.904568968003786-0.0120689680037857
290.87530.887068636000316-0.0117686360003162
300.8530.868210616157837-0.0152106161578373
310.86150.843767674239560.0177323257604401
320.90140.8547658862637330.0466341137362666
330.91140.9012359157819440.0101640842180564
340.9050.912667878951993-0.0076678789519925
350.88830.90518759271901-0.0168875927190095
360.89120.8861083905906520.00509160940934827
370.88320.889725720061172-0.00652572006117191
380.87070.880806346452574-0.0101063464525739
390.87660.866882517645830.00971748235417003
400.8860.8741515614807930.0118484385192072
410.9170.8852208242710350.0317791757289647
420.95610.9206980214530050.0354019785469945
430.99350.9647856158430740.0287143841569265
440.97811.00623103102079-0.0281310310207941
450.98060.986867801329553-0.00626780132955251
460.98120.988484764504143-0.0072847645041435
471.00130.9880584532055930.0132415467944075
481.01941.010023983529550.00937601647044706
491.06221.029444920072330.0327550799276741
501.07851.076859607149110.00164039285088724
511.07971.09339071327697-0.0136907132769730
521.08621.09266190230259-0.00646190230259158
531.15561.098251519634830.0573484803651678
541.16741.17573103865292-0.00833103865291607
551.13651.18635732341569-0.0498573234156852
561.11551.14843319321794-0.03293319321794
571.12671.122793412717460.00390658728254212
581.17141.134543790792760.0368562092072362
591.1711.18443626392070-0.0134362639207042
601.22981.182143300947870.0476566990521257
611.26381.247657397012480.0161426029875225
621.2641.28393164154361-0.0199316415436070
631.22611.28132357974515-0.0552235797451464
641.19891.23564342654917-0.0367434265491673
651.21.20326684276346-0.00326684276345524
661.21461.203906594853340.0106934051466612
671.22661.220013131202700.00658686879730408
681.21911.23294111972791-0.0138411197279116
691.22241.22349111879744-0.00109111879743984
701.25071.226637396937350.0240626030626474
711.29971.258327447690770.0413725523092305
721.34061.313156204112570.0274437958874276
731.31231.35792261294135-0.0456226129413504
741.30131.32319508833098-0.0218950883309825
751.31851.309110407072710.00938959292728958
761.29431.32763325632948-0.0333332563294833
771.26971.29873711308848-0.0290371130884792
781.21551.27004623036701-0.0545462303670059
791.20411.20816150528260-0.00406150528259586
801.22951.196189301643300.0333106983566958
811.22341.22628226681282-0.00288226681282344
821.20221.21977619974041-0.0175761997404074
831.17891.19609998347166-0.0171999834716581
841.18611.170376770289980.0157232297100180
851.21261.179791931575140.0328080684248562
861.1941.21091408391636-0.0169140839163628
871.20281.189931149585660.0128688504143388
881.22731.200544172720740.0267558272792621
891.27671.228813657351730.0478863426482679
901.26611.28496010666773-0.0188601066677307
911.26811.27170300765596-0.003603007655957
921.2811.27319539928180.0078046007182011
931.27221.28719494750923-0.0149949475092275
941.26171.27628238998714-0.0145823899871356
951.28881.263727955475880.0250720445241184
961.32051.294360221008730.0261397789912745
971.29931.32974291390911-0.0304429139091078
981.3081.304253975469440.00374602453055717
991.32461.313481732722020.0111182672779824
1001.35131.331648125612440.0196518743875587
1011.35181.36111677252068-0.00931677252068108
1021.34211.36030418253942-0.0182041825394175
1031.37261.348039493150970.0245605068490258
1041.36261.38199969089147-0.0193996908914711
1051.3911.369266572759930.0217334272400738
1061.42331.400728478456400.0225715215435984
1071.46831.436208458752610.0320915412473921
1081.45591.48572966343278-0.0298296634327828
1091.47281.469127122555090.00367287744491063
1101.47591.48654457450810-0.0106445745081021
1111.5521.488144917644830.0638550823551662
1121.57541.573241116829270.00215888317072821
1131.55541.59694527027021-0.0415452702702113
1141.55621.57109218054364-0.0148921805436439
1151.57591.569794101306720.00610589869327671
1161.49551.59035432854031-0.0948543285403083
1171.43421.49659081225341-0.0623908122534063
1181.32661.42650090620977-0.0999009062097707
1191.27441.30482640473203-0.0304264047320315
1201.35111.248339792181550.10276020781845
1211.32441.33951712528758-0.0151171252875846
1221.27971.31068735479529-0.0309873547952877
1231.3051.261621713006800.0433782869932031
1241.31991.293033046602770.0268669533972332
1251.36461.311718187194960.0528818128050377
1261.40141.363868421439160.0375315785608437
1271.40921.405956043723660.00324395627634422
1281.42661.414213067279670.0123869327203292
1291.45751.433358195622260.0241418043777406
1301.48211.467659404623070.01444059537693
1311.49081.49429386245417-0.00349386245416583
1321.45791.50250163096058-0.0446016309605801







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331.463317947011351.403376100245201.52325979377749
1341.468735894022691.377797618240641.55967416980475
1351.474153841034041.355103989405881.5932036926622
1361.479571788045381.333130848918341.62601272717243
1371.484989735056731.311125861326051.65885360878741
1381.490407682068081.288748084903391.69206727923276
1391.495825629079421.265822541231411.72582871692743
1401.501243576090771.242253690942951.76023346123859
1411.506661523102121.217988272100821.79533477410342
1421.512079470113461.192997179361981.83116176086494
1431.517497417124811.167265807987671.86772902626195
1441.522915364136151.140788561499061.90504216677325

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1.46331794701135 & 1.40337610024520 & 1.52325979377749 \tabularnewline
134 & 1.46873589402269 & 1.37779761824064 & 1.55967416980475 \tabularnewline
135 & 1.47415384103404 & 1.35510398940588 & 1.5932036926622 \tabularnewline
136 & 1.47957178804538 & 1.33313084891834 & 1.62601272717243 \tabularnewline
137 & 1.48498973505673 & 1.31112586132605 & 1.65885360878741 \tabularnewline
138 & 1.49040768206808 & 1.28874808490339 & 1.69206727923276 \tabularnewline
139 & 1.49582562907942 & 1.26582254123141 & 1.72582871692743 \tabularnewline
140 & 1.50124357609077 & 1.24225369094295 & 1.76023346123859 \tabularnewline
141 & 1.50666152310212 & 1.21798827210082 & 1.79533477410342 \tabularnewline
142 & 1.51207947011346 & 1.19299717936198 & 1.83116176086494 \tabularnewline
143 & 1.51749741712481 & 1.16726580798767 & 1.86772902626195 \tabularnewline
144 & 1.52291536413615 & 1.14078856149906 & 1.90504216677325 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76519&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]133[/C][C]1.46331794701135[/C][C]1.40337610024520[/C][C]1.52325979377749[/C][/ROW]
[ROW][C]134[/C][C]1.46873589402269[/C][C]1.37779761824064[/C][C]1.55967416980475[/C][/ROW]
[ROW][C]135[/C][C]1.47415384103404[/C][C]1.35510398940588[/C][C]1.5932036926622[/C][/ROW]
[ROW][C]136[/C][C]1.47957178804538[/C][C]1.33313084891834[/C][C]1.62601272717243[/C][/ROW]
[ROW][C]137[/C][C]1.48498973505673[/C][C]1.31112586132605[/C][C]1.65885360878741[/C][/ROW]
[ROW][C]138[/C][C]1.49040768206808[/C][C]1.28874808490339[/C][C]1.69206727923276[/C][/ROW]
[ROW][C]139[/C][C]1.49582562907942[/C][C]1.26582254123141[/C][C]1.72582871692743[/C][/ROW]
[ROW][C]140[/C][C]1.50124357609077[/C][C]1.24225369094295[/C][C]1.76023346123859[/C][/ROW]
[ROW][C]141[/C][C]1.50666152310212[/C][C]1.21798827210082[/C][C]1.79533477410342[/C][/ROW]
[ROW][C]142[/C][C]1.51207947011346[/C][C]1.19299717936198[/C][C]1.83116176086494[/C][/ROW]
[ROW][C]143[/C][C]1.51749741712481[/C][C]1.16726580798767[/C][C]1.86772902626195[/C][/ROW]
[ROW][C]144[/C][C]1.52291536413615[/C][C]1.14078856149906[/C][C]1.90504216677325[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76519&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76519&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
1331.463317947011351.403376100245201.52325979377749
1341.468735894022691.377797618240641.55967416980475
1351.474153841034041.355103989405881.5932036926622
1361.479571788045381.333130848918341.62601272717243
1371.484989735056731.311125861326051.65885360878741
1381.490407682068081.288748084903391.69206727923276
1391.495825629079421.265822541231411.72582871692743
1401.501243576090771.242253690942951.76023346123859
1411.506661523102121.217988272100821.79533477410342
1421.512079470113461.192997179361981.83116176086494
1431.517497417124811.167265807987671.86772902626195
1441.522915364136151.140788561499061.90504216677325



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