Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 18 Aug 2009 16:37:21 -0600
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/Aug/19/t1250635120lvngcyyyy0quyui.htm/, Retrieved Tue, 07 May 2024 08:19:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42906, Retrieved Tue, 07 May 2024 08:19:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Double Smoothing ...] [2009-08-18 22:37:21] [b3f4824a747975de0748bc1b396f9742] [Current]
- RMPD    [] [Triple Smoothing ...] [-0001-11-30 00:00:00] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
15.22
15.27
15.31
15.33
15.42
15.49
15.65
15.67
15.69
15.83
15.92
15.99
15.94
15.96
16.03
16.09
16.04
16.23
16.2
16.2
16.26
16.28
16.27
16.29
16.3
16.37
16.39
16.42
16.43
16.37
16.37
16.39
16.48
16.51
16.5
16.54
16.52
16.56
16.61
16.75
16.75
16.79
16.82
16.84
17.14
17.25
17.28
17.3
17.34
17.44
17.48
17.55
17.59
17.66
17.67
17.64
17.68
17.72
17.78
17.83
17.88
18.11
18.16
18.27
18.29
18.35
18.35
18.38
18.41
18.41
18.42
18.43
18.48
18.54
18.65
18.66
18.69
18.72
18.72
18.73
18.84
18.83
18.91
18.91
18.94
18.97
19
19.08
19.18
19.24
19.23
19.25
19.3
19.33
19.35
19.35
19.31
19.47
19.7
19.76
19.9
19.97
20.1
20.26
20.44
20.43
20.57
20.6
20.69
20.93
20.98
21.11
21.14
21.16
21.32
21.32
21.48
21.58
21.74
21.75
21.81
21.89
22.21
22.37
22.47
22.51
22.55
22.61
22.58
22.85
22.93
22.98




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42906&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42906&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42906&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.980728633093982
beta0.0666957327863417
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.980728633093982 \tabularnewline
beta & 0.0666957327863417 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42906&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]0.980728633093982[/C][/ROW]
[ROW][C]beta[/C][C]0.0666957327863417[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42906&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42906&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
alpha0.980728633093982
beta0.0666957327863417
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
315.3115.32-0.00999999999999801
415.3315.3595386095206-0.0295386095205714
515.4215.37798301253070.042016987469319
615.4915.46935238694800.0206476130520272
715.6515.54111477293830.108885227061711
815.6715.7065365413768-0.0365365413768028
915.6915.7269491473039-0.0369491473039094
1015.8315.74454023973070.0854597602693374
1115.9215.88777121113230.0322287888676556
1215.9915.98090514316290.00909485683710365
1315.9416.0519458640137-0.111945864013743
1415.9615.9969560587501-0.0369560587500857
1516.0316.01309359156460.0169064084353785
1616.0916.08316144338640.00683855661361221
1716.0416.1438027774779-0.103802777477863
1816.2316.08914520448480.140854795515171
1916.216.2836436892374-0.0836436892374302
2016.216.2524989134944-0.0524989134944427
2116.2616.24846473538310.0115352646168887
2216.2816.3079852356862-0.0279852356861880
2316.2716.3269163238720-0.0569163238719632
2416.2916.3137509451312-0.0237509451312476
2516.316.3315582437749-0.0315582437748745
2616.3716.33964446327440.0303555367256330
2716.3916.410436868344-0.0204368683439853
2816.4216.4300789233815-0.0100789233815313
2916.4316.4592200450642-0.0292200450641538
3016.3716.4676776253735-0.0976776253735459
3116.3716.4026077625241-0.0326077625240622
3216.3916.3992208900486-0.0092208900485744
3316.4816.41816705080500.0618329491950327
3416.5116.510842265057-0.00084226505699192
3516.516.5419950092000-0.0419950091999652
3616.5416.53004116785820.00995883214181248
3716.5216.5696913576613-0.0496913576613132
3816.5616.5475905660360.0124094339639989
3916.6116.58720550511910.0227944948809444
4016.7516.63849636816620.111503631833784
4116.7516.7840803206555-0.0340803206554732
4216.7916.78465671450730.00534328549273155
4316.8216.8242464742492-0.00424647424916458
4416.8416.8541535183854-0.0141535183854096
4517.1416.87341865315880.266581346841246
4617.2517.18544570505550.0645542949445179
4717.2817.3035615657101-0.0235615657101143
4817.317.3337185070034-0.0337185070034458
4917.3417.3517087036146-0.0117087036145769
5017.4417.39051867345720.049481326542832
5117.4817.4925760520314-0.0125760520314486
5217.5517.53294937776260.0170506222373561
5317.5917.6034937195266-0.0134937195265827
5417.6617.64319972095150.0168002790484714
5517.6717.7137148274121-0.0437148274120744
5617.6417.7220216312360-0.0820216312359676
5717.6817.6873947867817-0.0073947867817381
5817.7217.7254729294101-0.00547292941011079
5917.7817.76507790600840.0149220939915935
6017.8317.82566092638780.00433907361222197
6117.8817.87614869626150.00385130373848597
6218.1117.92641001162900.183589988371036
6318.1618.1649548987916-0.00495489879162747
6418.2718.21826431450490.0517356854950961
6518.2918.3305558621057-0.0405558621057125
6618.3518.34968167061700.000318329383031113
6718.3518.4089147911328-0.058914791132807
6818.3818.4062026534025-0.0262026534025352
6918.4118.4338583193649-0.0238583193648516
7018.4118.4622525582762-0.0522525582762121
7118.4218.4593818925585-0.0393818925585343
7218.4318.4665578713074-0.0365578713073837
7318.4818.47411218302950.00588781697050322
7418.5418.52367932114770.0163206788522885
7518.6518.58454580801280.0654541919871505
7618.6618.6978803239053-0.0378803239053127
7718.6918.7073939535739-0.0173939535738796
7818.7218.7358614074955-0.0158614074955281
7918.7218.7647943719934-0.0447943719933797
8018.7318.7624219313129-0.0324219313129213
8118.8418.77006276549170.0699372345083269
8218.8318.8826647879735-0.0526647879735016
8318.9118.87158267090290.0384173290971042
8418.9118.9523402874399-0.0423402874398739
8518.9418.9511271013324-0.0111271013323595
8618.9718.9797977522564-0.00979775225636459
871919.0091312588429-0.00913125884289556
8819.0819.03852113517480.0414788648252191
8919.1819.12025895866810.0597410413319146
9019.2419.22381470786110.0161852921388608
9119.2319.2857127733580-0.0557127733579534
9219.2519.2734541517403-0.0234541517402604
9319.319.29129833821190.00870166178807352
9419.3319.3412478310387-0.0112478310386948
9519.3519.3708965597402-0.0208965597401516
9619.3519.3897156512896-0.0397156512896260
9719.3119.3874805036809-0.0774805036808708
9819.4719.3431402521190.126859747881003
9919.719.5075002848940.192499715106017
10019.7619.74882679922520.0111732007747598
10119.919.81305205271060.0869479472894206
10219.9719.95727907107070.0127209289292693
10320.120.02954160841440.0704583915855892
10420.2620.16303764121050.0969623587894723
10520.4420.32886922164720.111130778352791
10620.4320.5158652871499-0.0858652871498506
10720.5720.50404518655360.065954813446389
10820.620.6454335374001-0.0454335374001111
10920.6920.67460831664890.015391683351055
11020.9320.76444290789590.165557092104077
11120.9821.0123781732829-0.0323781732829325
11221.1121.06407478665940.0459252133406345
11321.1421.1955697606224-0.0555697606223831
11421.1621.2238908664094-0.0638908664093876
11521.3221.23987209741520.0801279025848132
11621.3221.4023378582256-0.082337858225582
11721.4821.40008304204750.0799169579524701
11821.5821.56218357132580.0178164286741840
11921.7421.66454571340130.0754542865987027
12021.7521.8283704492821-0.0783704492820938
12121.8121.8362086186070-0.0262086186070505
12221.8921.8934890722139-0.00348907221392025
12322.2121.97282301383850.237176986161511
12422.3722.30369889498310.0663011050168869
12522.4722.4713286895681-0.00132868956812970
12622.5122.5725450980175-0.0625450980174911
12722.5522.6096337210773-0.0596337210773115
12822.6122.6456769484295-0.0356769484294546
12922.5822.7028816246766-0.122881624676566
13022.8522.66652443994110.183475560058941
13122.9322.9426217307278-0.0126217307277905
13222.9823.0255752009248-0.0455752009248016

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 15.31 & 15.32 & -0.00999999999999801 \tabularnewline
4 & 15.33 & 15.3595386095206 & -0.0295386095205714 \tabularnewline
5 & 15.42 & 15.3779830125307 & 0.042016987469319 \tabularnewline
6 & 15.49 & 15.4693523869480 & 0.0206476130520272 \tabularnewline
7 & 15.65 & 15.5411147729383 & 0.108885227061711 \tabularnewline
8 & 15.67 & 15.7065365413768 & -0.0365365413768028 \tabularnewline
9 & 15.69 & 15.7269491473039 & -0.0369491473039094 \tabularnewline
10 & 15.83 & 15.7445402397307 & 0.0854597602693374 \tabularnewline
11 & 15.92 & 15.8877712111323 & 0.0322287888676556 \tabularnewline
12 & 15.99 & 15.9809051431629 & 0.00909485683710365 \tabularnewline
13 & 15.94 & 16.0519458640137 & -0.111945864013743 \tabularnewline
14 & 15.96 & 15.9969560587501 & -0.0369560587500857 \tabularnewline
15 & 16.03 & 16.0130935915646 & 0.0169064084353785 \tabularnewline
16 & 16.09 & 16.0831614433864 & 0.00683855661361221 \tabularnewline
17 & 16.04 & 16.1438027774779 & -0.103802777477863 \tabularnewline
18 & 16.23 & 16.0891452044848 & 0.140854795515171 \tabularnewline
19 & 16.2 & 16.2836436892374 & -0.0836436892374302 \tabularnewline
20 & 16.2 & 16.2524989134944 & -0.0524989134944427 \tabularnewline
21 & 16.26 & 16.2484647353831 & 0.0115352646168887 \tabularnewline
22 & 16.28 & 16.3079852356862 & -0.0279852356861880 \tabularnewline
23 & 16.27 & 16.3269163238720 & -0.0569163238719632 \tabularnewline
24 & 16.29 & 16.3137509451312 & -0.0237509451312476 \tabularnewline
25 & 16.3 & 16.3315582437749 & -0.0315582437748745 \tabularnewline
26 & 16.37 & 16.3396444632744 & 0.0303555367256330 \tabularnewline
27 & 16.39 & 16.410436868344 & -0.0204368683439853 \tabularnewline
28 & 16.42 & 16.4300789233815 & -0.0100789233815313 \tabularnewline
29 & 16.43 & 16.4592200450642 & -0.0292200450641538 \tabularnewline
30 & 16.37 & 16.4676776253735 & -0.0976776253735459 \tabularnewline
31 & 16.37 & 16.4026077625241 & -0.0326077625240622 \tabularnewline
32 & 16.39 & 16.3992208900486 & -0.0092208900485744 \tabularnewline
33 & 16.48 & 16.4181670508050 & 0.0618329491950327 \tabularnewline
34 & 16.51 & 16.510842265057 & -0.00084226505699192 \tabularnewline
35 & 16.5 & 16.5419950092000 & -0.0419950091999652 \tabularnewline
36 & 16.54 & 16.5300411678582 & 0.00995883214181248 \tabularnewline
37 & 16.52 & 16.5696913576613 & -0.0496913576613132 \tabularnewline
38 & 16.56 & 16.547590566036 & 0.0124094339639989 \tabularnewline
39 & 16.61 & 16.5872055051191 & 0.0227944948809444 \tabularnewline
40 & 16.75 & 16.6384963681662 & 0.111503631833784 \tabularnewline
41 & 16.75 & 16.7840803206555 & -0.0340803206554732 \tabularnewline
42 & 16.79 & 16.7846567145073 & 0.00534328549273155 \tabularnewline
43 & 16.82 & 16.8242464742492 & -0.00424647424916458 \tabularnewline
44 & 16.84 & 16.8541535183854 & -0.0141535183854096 \tabularnewline
45 & 17.14 & 16.8734186531588 & 0.266581346841246 \tabularnewline
46 & 17.25 & 17.1854457050555 & 0.0645542949445179 \tabularnewline
47 & 17.28 & 17.3035615657101 & -0.0235615657101143 \tabularnewline
48 & 17.3 & 17.3337185070034 & -0.0337185070034458 \tabularnewline
49 & 17.34 & 17.3517087036146 & -0.0117087036145769 \tabularnewline
50 & 17.44 & 17.3905186734572 & 0.049481326542832 \tabularnewline
51 & 17.48 & 17.4925760520314 & -0.0125760520314486 \tabularnewline
52 & 17.55 & 17.5329493777626 & 0.0170506222373561 \tabularnewline
53 & 17.59 & 17.6034937195266 & -0.0134937195265827 \tabularnewline
54 & 17.66 & 17.6431997209515 & 0.0168002790484714 \tabularnewline
55 & 17.67 & 17.7137148274121 & -0.0437148274120744 \tabularnewline
56 & 17.64 & 17.7220216312360 & -0.0820216312359676 \tabularnewline
57 & 17.68 & 17.6873947867817 & -0.0073947867817381 \tabularnewline
58 & 17.72 & 17.7254729294101 & -0.00547292941011079 \tabularnewline
59 & 17.78 & 17.7650779060084 & 0.0149220939915935 \tabularnewline
60 & 17.83 & 17.8256609263878 & 0.00433907361222197 \tabularnewline
61 & 17.88 & 17.8761486962615 & 0.00385130373848597 \tabularnewline
62 & 18.11 & 17.9264100116290 & 0.183589988371036 \tabularnewline
63 & 18.16 & 18.1649548987916 & -0.00495489879162747 \tabularnewline
64 & 18.27 & 18.2182643145049 & 0.0517356854950961 \tabularnewline
65 & 18.29 & 18.3305558621057 & -0.0405558621057125 \tabularnewline
66 & 18.35 & 18.3496816706170 & 0.000318329383031113 \tabularnewline
67 & 18.35 & 18.4089147911328 & -0.058914791132807 \tabularnewline
68 & 18.38 & 18.4062026534025 & -0.0262026534025352 \tabularnewline
69 & 18.41 & 18.4338583193649 & -0.0238583193648516 \tabularnewline
70 & 18.41 & 18.4622525582762 & -0.0522525582762121 \tabularnewline
71 & 18.42 & 18.4593818925585 & -0.0393818925585343 \tabularnewline
72 & 18.43 & 18.4665578713074 & -0.0365578713073837 \tabularnewline
73 & 18.48 & 18.4741121830295 & 0.00588781697050322 \tabularnewline
74 & 18.54 & 18.5236793211477 & 0.0163206788522885 \tabularnewline
75 & 18.65 & 18.5845458080128 & 0.0654541919871505 \tabularnewline
76 & 18.66 & 18.6978803239053 & -0.0378803239053127 \tabularnewline
77 & 18.69 & 18.7073939535739 & -0.0173939535738796 \tabularnewline
78 & 18.72 & 18.7358614074955 & -0.0158614074955281 \tabularnewline
79 & 18.72 & 18.7647943719934 & -0.0447943719933797 \tabularnewline
80 & 18.73 & 18.7624219313129 & -0.0324219313129213 \tabularnewline
81 & 18.84 & 18.7700627654917 & 0.0699372345083269 \tabularnewline
82 & 18.83 & 18.8826647879735 & -0.0526647879735016 \tabularnewline
83 & 18.91 & 18.8715826709029 & 0.0384173290971042 \tabularnewline
84 & 18.91 & 18.9523402874399 & -0.0423402874398739 \tabularnewline
85 & 18.94 & 18.9511271013324 & -0.0111271013323595 \tabularnewline
86 & 18.97 & 18.9797977522564 & -0.00979775225636459 \tabularnewline
87 & 19 & 19.0091312588429 & -0.00913125884289556 \tabularnewline
88 & 19.08 & 19.0385211351748 & 0.0414788648252191 \tabularnewline
89 & 19.18 & 19.1202589586681 & 0.0597410413319146 \tabularnewline
90 & 19.24 & 19.2238147078611 & 0.0161852921388608 \tabularnewline
91 & 19.23 & 19.2857127733580 & -0.0557127733579534 \tabularnewline
92 & 19.25 & 19.2734541517403 & -0.0234541517402604 \tabularnewline
93 & 19.3 & 19.2912983382119 & 0.00870166178807352 \tabularnewline
94 & 19.33 & 19.3412478310387 & -0.0112478310386948 \tabularnewline
95 & 19.35 & 19.3708965597402 & -0.0208965597401516 \tabularnewline
96 & 19.35 & 19.3897156512896 & -0.0397156512896260 \tabularnewline
97 & 19.31 & 19.3874805036809 & -0.0774805036808708 \tabularnewline
98 & 19.47 & 19.343140252119 & 0.126859747881003 \tabularnewline
99 & 19.7 & 19.507500284894 & 0.192499715106017 \tabularnewline
100 & 19.76 & 19.7488267992252 & 0.0111732007747598 \tabularnewline
101 & 19.9 & 19.8130520527106 & 0.0869479472894206 \tabularnewline
102 & 19.97 & 19.9572790710707 & 0.0127209289292693 \tabularnewline
103 & 20.1 & 20.0295416084144 & 0.0704583915855892 \tabularnewline
104 & 20.26 & 20.1630376412105 & 0.0969623587894723 \tabularnewline
105 & 20.44 & 20.3288692216472 & 0.111130778352791 \tabularnewline
106 & 20.43 & 20.5158652871499 & -0.0858652871498506 \tabularnewline
107 & 20.57 & 20.5040451865536 & 0.065954813446389 \tabularnewline
108 & 20.6 & 20.6454335374001 & -0.0454335374001111 \tabularnewline
109 & 20.69 & 20.6746083166489 & 0.015391683351055 \tabularnewline
110 & 20.93 & 20.7644429078959 & 0.165557092104077 \tabularnewline
111 & 20.98 & 21.0123781732829 & -0.0323781732829325 \tabularnewline
112 & 21.11 & 21.0640747866594 & 0.0459252133406345 \tabularnewline
113 & 21.14 & 21.1955697606224 & -0.0555697606223831 \tabularnewline
114 & 21.16 & 21.2238908664094 & -0.0638908664093876 \tabularnewline
115 & 21.32 & 21.2398720974152 & 0.0801279025848132 \tabularnewline
116 & 21.32 & 21.4023378582256 & -0.082337858225582 \tabularnewline
117 & 21.48 & 21.4000830420475 & 0.0799169579524701 \tabularnewline
118 & 21.58 & 21.5621835713258 & 0.0178164286741840 \tabularnewline
119 & 21.74 & 21.6645457134013 & 0.0754542865987027 \tabularnewline
120 & 21.75 & 21.8283704492821 & -0.0783704492820938 \tabularnewline
121 & 21.81 & 21.8362086186070 & -0.0262086186070505 \tabularnewline
122 & 21.89 & 21.8934890722139 & -0.00348907221392025 \tabularnewline
123 & 22.21 & 21.9728230138385 & 0.237176986161511 \tabularnewline
124 & 22.37 & 22.3036988949831 & 0.0663011050168869 \tabularnewline
125 & 22.47 & 22.4713286895681 & -0.00132868956812970 \tabularnewline
126 & 22.51 & 22.5725450980175 & -0.0625450980174911 \tabularnewline
127 & 22.55 & 22.6096337210773 & -0.0596337210773115 \tabularnewline
128 & 22.61 & 22.6456769484295 & -0.0356769484294546 \tabularnewline
129 & 22.58 & 22.7028816246766 & -0.122881624676566 \tabularnewline
130 & 22.85 & 22.6665244399411 & 0.183475560058941 \tabularnewline
131 & 22.93 & 22.9426217307278 & -0.0126217307277905 \tabularnewline
132 & 22.98 & 23.0255752009248 & -0.0455752009248016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42906&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]15.31[/C][C]15.32[/C][C]-0.00999999999999801[/C][/ROW]
[ROW][C]4[/C][C]15.33[/C][C]15.3595386095206[/C][C]-0.0295386095205714[/C][/ROW]
[ROW][C]5[/C][C]15.42[/C][C]15.3779830125307[/C][C]0.042016987469319[/C][/ROW]
[ROW][C]6[/C][C]15.49[/C][C]15.4693523869480[/C][C]0.0206476130520272[/C][/ROW]
[ROW][C]7[/C][C]15.65[/C][C]15.5411147729383[/C][C]0.108885227061711[/C][/ROW]
[ROW][C]8[/C][C]15.67[/C][C]15.7065365413768[/C][C]-0.0365365413768028[/C][/ROW]
[ROW][C]9[/C][C]15.69[/C][C]15.7269491473039[/C][C]-0.0369491473039094[/C][/ROW]
[ROW][C]10[/C][C]15.83[/C][C]15.7445402397307[/C][C]0.0854597602693374[/C][/ROW]
[ROW][C]11[/C][C]15.92[/C][C]15.8877712111323[/C][C]0.0322287888676556[/C][/ROW]
[ROW][C]12[/C][C]15.99[/C][C]15.9809051431629[/C][C]0.00909485683710365[/C][/ROW]
[ROW][C]13[/C][C]15.94[/C][C]16.0519458640137[/C][C]-0.111945864013743[/C][/ROW]
[ROW][C]14[/C][C]15.96[/C][C]15.9969560587501[/C][C]-0.0369560587500857[/C][/ROW]
[ROW][C]15[/C][C]16.03[/C][C]16.0130935915646[/C][C]0.0169064084353785[/C][/ROW]
[ROW][C]16[/C][C]16.09[/C][C]16.0831614433864[/C][C]0.00683855661361221[/C][/ROW]
[ROW][C]17[/C][C]16.04[/C][C]16.1438027774779[/C][C]-0.103802777477863[/C][/ROW]
[ROW][C]18[/C][C]16.23[/C][C]16.0891452044848[/C][C]0.140854795515171[/C][/ROW]
[ROW][C]19[/C][C]16.2[/C][C]16.2836436892374[/C][C]-0.0836436892374302[/C][/ROW]
[ROW][C]20[/C][C]16.2[/C][C]16.2524989134944[/C][C]-0.0524989134944427[/C][/ROW]
[ROW][C]21[/C][C]16.26[/C][C]16.2484647353831[/C][C]0.0115352646168887[/C][/ROW]
[ROW][C]22[/C][C]16.28[/C][C]16.3079852356862[/C][C]-0.0279852356861880[/C][/ROW]
[ROW][C]23[/C][C]16.27[/C][C]16.3269163238720[/C][C]-0.0569163238719632[/C][/ROW]
[ROW][C]24[/C][C]16.29[/C][C]16.3137509451312[/C][C]-0.0237509451312476[/C][/ROW]
[ROW][C]25[/C][C]16.3[/C][C]16.3315582437749[/C][C]-0.0315582437748745[/C][/ROW]
[ROW][C]26[/C][C]16.37[/C][C]16.3396444632744[/C][C]0.0303555367256330[/C][/ROW]
[ROW][C]27[/C][C]16.39[/C][C]16.410436868344[/C][C]-0.0204368683439853[/C][/ROW]
[ROW][C]28[/C][C]16.42[/C][C]16.4300789233815[/C][C]-0.0100789233815313[/C][/ROW]
[ROW][C]29[/C][C]16.43[/C][C]16.4592200450642[/C][C]-0.0292200450641538[/C][/ROW]
[ROW][C]30[/C][C]16.37[/C][C]16.4676776253735[/C][C]-0.0976776253735459[/C][/ROW]
[ROW][C]31[/C][C]16.37[/C][C]16.4026077625241[/C][C]-0.0326077625240622[/C][/ROW]
[ROW][C]32[/C][C]16.39[/C][C]16.3992208900486[/C][C]-0.0092208900485744[/C][/ROW]
[ROW][C]33[/C][C]16.48[/C][C]16.4181670508050[/C][C]0.0618329491950327[/C][/ROW]
[ROW][C]34[/C][C]16.51[/C][C]16.510842265057[/C][C]-0.00084226505699192[/C][/ROW]
[ROW][C]35[/C][C]16.5[/C][C]16.5419950092000[/C][C]-0.0419950091999652[/C][/ROW]
[ROW][C]36[/C][C]16.54[/C][C]16.5300411678582[/C][C]0.00995883214181248[/C][/ROW]
[ROW][C]37[/C][C]16.52[/C][C]16.5696913576613[/C][C]-0.0496913576613132[/C][/ROW]
[ROW][C]38[/C][C]16.56[/C][C]16.547590566036[/C][C]0.0124094339639989[/C][/ROW]
[ROW][C]39[/C][C]16.61[/C][C]16.5872055051191[/C][C]0.0227944948809444[/C][/ROW]
[ROW][C]40[/C][C]16.75[/C][C]16.6384963681662[/C][C]0.111503631833784[/C][/ROW]
[ROW][C]41[/C][C]16.75[/C][C]16.7840803206555[/C][C]-0.0340803206554732[/C][/ROW]
[ROW][C]42[/C][C]16.79[/C][C]16.7846567145073[/C][C]0.00534328549273155[/C][/ROW]
[ROW][C]43[/C][C]16.82[/C][C]16.8242464742492[/C][C]-0.00424647424916458[/C][/ROW]
[ROW][C]44[/C][C]16.84[/C][C]16.8541535183854[/C][C]-0.0141535183854096[/C][/ROW]
[ROW][C]45[/C][C]17.14[/C][C]16.8734186531588[/C][C]0.266581346841246[/C][/ROW]
[ROW][C]46[/C][C]17.25[/C][C]17.1854457050555[/C][C]0.0645542949445179[/C][/ROW]
[ROW][C]47[/C][C]17.28[/C][C]17.3035615657101[/C][C]-0.0235615657101143[/C][/ROW]
[ROW][C]48[/C][C]17.3[/C][C]17.3337185070034[/C][C]-0.0337185070034458[/C][/ROW]
[ROW][C]49[/C][C]17.34[/C][C]17.3517087036146[/C][C]-0.0117087036145769[/C][/ROW]
[ROW][C]50[/C][C]17.44[/C][C]17.3905186734572[/C][C]0.049481326542832[/C][/ROW]
[ROW][C]51[/C][C]17.48[/C][C]17.4925760520314[/C][C]-0.0125760520314486[/C][/ROW]
[ROW][C]52[/C][C]17.55[/C][C]17.5329493777626[/C][C]0.0170506222373561[/C][/ROW]
[ROW][C]53[/C][C]17.59[/C][C]17.6034937195266[/C][C]-0.0134937195265827[/C][/ROW]
[ROW][C]54[/C][C]17.66[/C][C]17.6431997209515[/C][C]0.0168002790484714[/C][/ROW]
[ROW][C]55[/C][C]17.67[/C][C]17.7137148274121[/C][C]-0.0437148274120744[/C][/ROW]
[ROW][C]56[/C][C]17.64[/C][C]17.7220216312360[/C][C]-0.0820216312359676[/C][/ROW]
[ROW][C]57[/C][C]17.68[/C][C]17.6873947867817[/C][C]-0.0073947867817381[/C][/ROW]
[ROW][C]58[/C][C]17.72[/C][C]17.7254729294101[/C][C]-0.00547292941011079[/C][/ROW]
[ROW][C]59[/C][C]17.78[/C][C]17.7650779060084[/C][C]0.0149220939915935[/C][/ROW]
[ROW][C]60[/C][C]17.83[/C][C]17.8256609263878[/C][C]0.00433907361222197[/C][/ROW]
[ROW][C]61[/C][C]17.88[/C][C]17.8761486962615[/C][C]0.00385130373848597[/C][/ROW]
[ROW][C]62[/C][C]18.11[/C][C]17.9264100116290[/C][C]0.183589988371036[/C][/ROW]
[ROW][C]63[/C][C]18.16[/C][C]18.1649548987916[/C][C]-0.00495489879162747[/C][/ROW]
[ROW][C]64[/C][C]18.27[/C][C]18.2182643145049[/C][C]0.0517356854950961[/C][/ROW]
[ROW][C]65[/C][C]18.29[/C][C]18.3305558621057[/C][C]-0.0405558621057125[/C][/ROW]
[ROW][C]66[/C][C]18.35[/C][C]18.3496816706170[/C][C]0.000318329383031113[/C][/ROW]
[ROW][C]67[/C][C]18.35[/C][C]18.4089147911328[/C][C]-0.058914791132807[/C][/ROW]
[ROW][C]68[/C][C]18.38[/C][C]18.4062026534025[/C][C]-0.0262026534025352[/C][/ROW]
[ROW][C]69[/C][C]18.41[/C][C]18.4338583193649[/C][C]-0.0238583193648516[/C][/ROW]
[ROW][C]70[/C][C]18.41[/C][C]18.4622525582762[/C][C]-0.0522525582762121[/C][/ROW]
[ROW][C]71[/C][C]18.42[/C][C]18.4593818925585[/C][C]-0.0393818925585343[/C][/ROW]
[ROW][C]72[/C][C]18.43[/C][C]18.4665578713074[/C][C]-0.0365578713073837[/C][/ROW]
[ROW][C]73[/C][C]18.48[/C][C]18.4741121830295[/C][C]0.00588781697050322[/C][/ROW]
[ROW][C]74[/C][C]18.54[/C][C]18.5236793211477[/C][C]0.0163206788522885[/C][/ROW]
[ROW][C]75[/C][C]18.65[/C][C]18.5845458080128[/C][C]0.0654541919871505[/C][/ROW]
[ROW][C]76[/C][C]18.66[/C][C]18.6978803239053[/C][C]-0.0378803239053127[/C][/ROW]
[ROW][C]77[/C][C]18.69[/C][C]18.7073939535739[/C][C]-0.0173939535738796[/C][/ROW]
[ROW][C]78[/C][C]18.72[/C][C]18.7358614074955[/C][C]-0.0158614074955281[/C][/ROW]
[ROW][C]79[/C][C]18.72[/C][C]18.7647943719934[/C][C]-0.0447943719933797[/C][/ROW]
[ROW][C]80[/C][C]18.73[/C][C]18.7624219313129[/C][C]-0.0324219313129213[/C][/ROW]
[ROW][C]81[/C][C]18.84[/C][C]18.7700627654917[/C][C]0.0699372345083269[/C][/ROW]
[ROW][C]82[/C][C]18.83[/C][C]18.8826647879735[/C][C]-0.0526647879735016[/C][/ROW]
[ROW][C]83[/C][C]18.91[/C][C]18.8715826709029[/C][C]0.0384173290971042[/C][/ROW]
[ROW][C]84[/C][C]18.91[/C][C]18.9523402874399[/C][C]-0.0423402874398739[/C][/ROW]
[ROW][C]85[/C][C]18.94[/C][C]18.9511271013324[/C][C]-0.0111271013323595[/C][/ROW]
[ROW][C]86[/C][C]18.97[/C][C]18.9797977522564[/C][C]-0.00979775225636459[/C][/ROW]
[ROW][C]87[/C][C]19[/C][C]19.0091312588429[/C][C]-0.00913125884289556[/C][/ROW]
[ROW][C]88[/C][C]19.08[/C][C]19.0385211351748[/C][C]0.0414788648252191[/C][/ROW]
[ROW][C]89[/C][C]19.18[/C][C]19.1202589586681[/C][C]0.0597410413319146[/C][/ROW]
[ROW][C]90[/C][C]19.24[/C][C]19.2238147078611[/C][C]0.0161852921388608[/C][/ROW]
[ROW][C]91[/C][C]19.23[/C][C]19.2857127733580[/C][C]-0.0557127733579534[/C][/ROW]
[ROW][C]92[/C][C]19.25[/C][C]19.2734541517403[/C][C]-0.0234541517402604[/C][/ROW]
[ROW][C]93[/C][C]19.3[/C][C]19.2912983382119[/C][C]0.00870166178807352[/C][/ROW]
[ROW][C]94[/C][C]19.33[/C][C]19.3412478310387[/C][C]-0.0112478310386948[/C][/ROW]
[ROW][C]95[/C][C]19.35[/C][C]19.3708965597402[/C][C]-0.0208965597401516[/C][/ROW]
[ROW][C]96[/C][C]19.35[/C][C]19.3897156512896[/C][C]-0.0397156512896260[/C][/ROW]
[ROW][C]97[/C][C]19.31[/C][C]19.3874805036809[/C][C]-0.0774805036808708[/C][/ROW]
[ROW][C]98[/C][C]19.47[/C][C]19.343140252119[/C][C]0.126859747881003[/C][/ROW]
[ROW][C]99[/C][C]19.7[/C][C]19.507500284894[/C][C]0.192499715106017[/C][/ROW]
[ROW][C]100[/C][C]19.76[/C][C]19.7488267992252[/C][C]0.0111732007747598[/C][/ROW]
[ROW][C]101[/C][C]19.9[/C][C]19.8130520527106[/C][C]0.0869479472894206[/C][/ROW]
[ROW][C]102[/C][C]19.97[/C][C]19.9572790710707[/C][C]0.0127209289292693[/C][/ROW]
[ROW][C]103[/C][C]20.1[/C][C]20.0295416084144[/C][C]0.0704583915855892[/C][/ROW]
[ROW][C]104[/C][C]20.26[/C][C]20.1630376412105[/C][C]0.0969623587894723[/C][/ROW]
[ROW][C]105[/C][C]20.44[/C][C]20.3288692216472[/C][C]0.111130778352791[/C][/ROW]
[ROW][C]106[/C][C]20.43[/C][C]20.5158652871499[/C][C]-0.0858652871498506[/C][/ROW]
[ROW][C]107[/C][C]20.57[/C][C]20.5040451865536[/C][C]0.065954813446389[/C][/ROW]
[ROW][C]108[/C][C]20.6[/C][C]20.6454335374001[/C][C]-0.0454335374001111[/C][/ROW]
[ROW][C]109[/C][C]20.69[/C][C]20.6746083166489[/C][C]0.015391683351055[/C][/ROW]
[ROW][C]110[/C][C]20.93[/C][C]20.7644429078959[/C][C]0.165557092104077[/C][/ROW]
[ROW][C]111[/C][C]20.98[/C][C]21.0123781732829[/C][C]-0.0323781732829325[/C][/ROW]
[ROW][C]112[/C][C]21.11[/C][C]21.0640747866594[/C][C]0.0459252133406345[/C][/ROW]
[ROW][C]113[/C][C]21.14[/C][C]21.1955697606224[/C][C]-0.0555697606223831[/C][/ROW]
[ROW][C]114[/C][C]21.16[/C][C]21.2238908664094[/C][C]-0.0638908664093876[/C][/ROW]
[ROW][C]115[/C][C]21.32[/C][C]21.2398720974152[/C][C]0.0801279025848132[/C][/ROW]
[ROW][C]116[/C][C]21.32[/C][C]21.4023378582256[/C][C]-0.082337858225582[/C][/ROW]
[ROW][C]117[/C][C]21.48[/C][C]21.4000830420475[/C][C]0.0799169579524701[/C][/ROW]
[ROW][C]118[/C][C]21.58[/C][C]21.5621835713258[/C][C]0.0178164286741840[/C][/ROW]
[ROW][C]119[/C][C]21.74[/C][C]21.6645457134013[/C][C]0.0754542865987027[/C][/ROW]
[ROW][C]120[/C][C]21.75[/C][C]21.8283704492821[/C][C]-0.0783704492820938[/C][/ROW]
[ROW][C]121[/C][C]21.81[/C][C]21.8362086186070[/C][C]-0.0262086186070505[/C][/ROW]
[ROW][C]122[/C][C]21.89[/C][C]21.8934890722139[/C][C]-0.00348907221392025[/C][/ROW]
[ROW][C]123[/C][C]22.21[/C][C]21.9728230138385[/C][C]0.237176986161511[/C][/ROW]
[ROW][C]124[/C][C]22.37[/C][C]22.3036988949831[/C][C]0.0663011050168869[/C][/ROW]
[ROW][C]125[/C][C]22.47[/C][C]22.4713286895681[/C][C]-0.00132868956812970[/C][/ROW]
[ROW][C]126[/C][C]22.51[/C][C]22.5725450980175[/C][C]-0.0625450980174911[/C][/ROW]
[ROW][C]127[/C][C]22.55[/C][C]22.6096337210773[/C][C]-0.0596337210773115[/C][/ROW]
[ROW][C]128[/C][C]22.61[/C][C]22.6456769484295[/C][C]-0.0356769484294546[/C][/ROW]
[ROW][C]129[/C][C]22.58[/C][C]22.7028816246766[/C][C]-0.122881624676566[/C][/ROW]
[ROW][C]130[/C][C]22.85[/C][C]22.6665244399411[/C][C]0.183475560058941[/C][/ROW]
[ROW][C]131[/C][C]22.93[/C][C]22.9426217307278[/C][C]-0.0126217307277905[/C][/ROW]
[ROW][C]132[/C][C]22.98[/C][C]23.0255752009248[/C][C]-0.0455752009248016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42906&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42906&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
315.3115.32-0.00999999999999801
415.3315.3595386095206-0.0295386095205714
515.4215.37798301253070.042016987469319
615.4915.46935238694800.0206476130520272
715.6515.54111477293830.108885227061711
815.6715.7065365413768-0.0365365413768028
915.6915.7269491473039-0.0369491473039094
1015.8315.74454023973070.0854597602693374
1115.9215.88777121113230.0322287888676556
1215.9915.98090514316290.00909485683710365
1315.9416.0519458640137-0.111945864013743
1415.9615.9969560587501-0.0369560587500857
1516.0316.01309359156460.0169064084353785
1616.0916.08316144338640.00683855661361221
1716.0416.1438027774779-0.103802777477863
1816.2316.08914520448480.140854795515171
1916.216.2836436892374-0.0836436892374302
2016.216.2524989134944-0.0524989134944427
2116.2616.24846473538310.0115352646168887
2216.2816.3079852356862-0.0279852356861880
2316.2716.3269163238720-0.0569163238719632
2416.2916.3137509451312-0.0237509451312476
2516.316.3315582437749-0.0315582437748745
2616.3716.33964446327440.0303555367256330
2716.3916.410436868344-0.0204368683439853
2816.4216.4300789233815-0.0100789233815313
2916.4316.4592200450642-0.0292200450641538
3016.3716.4676776253735-0.0976776253735459
3116.3716.4026077625241-0.0326077625240622
3216.3916.3992208900486-0.0092208900485744
3316.4816.41816705080500.0618329491950327
3416.5116.510842265057-0.00084226505699192
3516.516.5419950092000-0.0419950091999652
3616.5416.53004116785820.00995883214181248
3716.5216.5696913576613-0.0496913576613132
3816.5616.5475905660360.0124094339639989
3916.6116.58720550511910.0227944948809444
4016.7516.63849636816620.111503631833784
4116.7516.7840803206555-0.0340803206554732
4216.7916.78465671450730.00534328549273155
4316.8216.8242464742492-0.00424647424916458
4416.8416.8541535183854-0.0141535183854096
4517.1416.87341865315880.266581346841246
4617.2517.18544570505550.0645542949445179
4717.2817.3035615657101-0.0235615657101143
4817.317.3337185070034-0.0337185070034458
4917.3417.3517087036146-0.0117087036145769
5017.4417.39051867345720.049481326542832
5117.4817.4925760520314-0.0125760520314486
5217.5517.53294937776260.0170506222373561
5317.5917.6034937195266-0.0134937195265827
5417.6617.64319972095150.0168002790484714
5517.6717.7137148274121-0.0437148274120744
5617.6417.7220216312360-0.0820216312359676
5717.6817.6873947867817-0.0073947867817381
5817.7217.7254729294101-0.00547292941011079
5917.7817.76507790600840.0149220939915935
6017.8317.82566092638780.00433907361222197
6117.8817.87614869626150.00385130373848597
6218.1117.92641001162900.183589988371036
6318.1618.1649548987916-0.00495489879162747
6418.2718.21826431450490.0517356854950961
6518.2918.3305558621057-0.0405558621057125
6618.3518.34968167061700.000318329383031113
6718.3518.4089147911328-0.058914791132807
6818.3818.4062026534025-0.0262026534025352
6918.4118.4338583193649-0.0238583193648516
7018.4118.4622525582762-0.0522525582762121
7118.4218.4593818925585-0.0393818925585343
7218.4318.4665578713074-0.0365578713073837
7318.4818.47411218302950.00588781697050322
7418.5418.52367932114770.0163206788522885
7518.6518.58454580801280.0654541919871505
7618.6618.6978803239053-0.0378803239053127
7718.6918.7073939535739-0.0173939535738796
7818.7218.7358614074955-0.0158614074955281
7918.7218.7647943719934-0.0447943719933797
8018.7318.7624219313129-0.0324219313129213
8118.8418.77006276549170.0699372345083269
8218.8318.8826647879735-0.0526647879735016
8318.9118.87158267090290.0384173290971042
8418.9118.9523402874399-0.0423402874398739
8518.9418.9511271013324-0.0111271013323595
8618.9718.9797977522564-0.00979775225636459
871919.0091312588429-0.00913125884289556
8819.0819.03852113517480.0414788648252191
8919.1819.12025895866810.0597410413319146
9019.2419.22381470786110.0161852921388608
9119.2319.2857127733580-0.0557127733579534
9219.2519.2734541517403-0.0234541517402604
9319.319.29129833821190.00870166178807352
9419.3319.3412478310387-0.0112478310386948
9519.3519.3708965597402-0.0208965597401516
9619.3519.3897156512896-0.0397156512896260
9719.3119.3874805036809-0.0774805036808708
9819.4719.3431402521190.126859747881003
9919.719.5075002848940.192499715106017
10019.7619.74882679922520.0111732007747598
10119.919.81305205271060.0869479472894206
10219.9719.95727907107070.0127209289292693
10320.120.02954160841440.0704583915855892
10420.2620.16303764121050.0969623587894723
10520.4420.32886922164720.111130778352791
10620.4320.5158652871499-0.0858652871498506
10720.5720.50404518655360.065954813446389
10820.620.6454335374001-0.0454335374001111
10920.6920.67460831664890.015391683351055
11020.9320.76444290789590.165557092104077
11120.9821.0123781732829-0.0323781732829325
11221.1121.06407478665940.0459252133406345
11321.1421.1955697606224-0.0555697606223831
11421.1621.2238908664094-0.0638908664093876
11521.3221.23987209741520.0801279025848132
11621.3221.4023378582256-0.082337858225582
11721.4821.40008304204750.0799169579524701
11821.5821.56218357132580.0178164286741840
11921.7421.66454571340130.0754542865987027
12021.7521.8283704492821-0.0783704492820938
12121.8121.8362086186070-0.0262086186070505
12221.8921.8934890722139-0.00348907221392025
12322.2121.97282301383850.237176986161511
12422.3722.30369889498310.0663011050168869
12522.4722.4713286895681-0.00132868956812970
12622.5122.5725450980175-0.0625450980174911
12722.5522.6096337210773-0.0596337210773115
12822.6122.6456769484295-0.0356769484294546
12922.5822.7028816246766-0.122881624676566
13022.8522.66652443994110.183475560058941
13122.9322.9426217307278-0.0126217307277905
13222.9823.0255752009248-0.0455752009248016







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13323.073229166540522.940984793451023.2054735396300
13423.165580036662122.974195108733923.3569649645904
13523.257930906783823.016609415322523.4992523982451
13623.350281776905523.063120081105223.6374434727057
13723.442632647027123.111792545117723.7734727489365
13823.534983517148823.161666342024523.9083006922730
13923.627334387270423.212192109634324.0424766649066
14023.719685257392123.263026724286724.1763437904974
14123.812036127513723.313942683182524.3101295718449
14223.904386997635423.364782557812724.4439914374581
14323.996737867757023.415433917192624.5780418183215
14424.089088737878723.465814541241124.7123629345162

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 23.0732291665405 & 22.9409847934510 & 23.2054735396300 \tabularnewline
134 & 23.1655800366621 & 22.9741951087339 & 23.3569649645904 \tabularnewline
135 & 23.2579309067838 & 23.0166094153225 & 23.4992523982451 \tabularnewline
136 & 23.3502817769055 & 23.0631200811052 & 23.6374434727057 \tabularnewline
137 & 23.4426326470271 & 23.1117925451177 & 23.7734727489365 \tabularnewline
138 & 23.5349835171488 & 23.1616663420245 & 23.9083006922730 \tabularnewline
139 & 23.6273343872704 & 23.2121921096343 & 24.0424766649066 \tabularnewline
140 & 23.7196852573921 & 23.2630267242867 & 24.1763437904974 \tabularnewline
141 & 23.8120361275137 & 23.3139426831825 & 24.3101295718449 \tabularnewline
142 & 23.9043869976354 & 23.3647825578127 & 24.4439914374581 \tabularnewline
143 & 23.9967378677570 & 23.4154339171926 & 24.5780418183215 \tabularnewline
144 & 24.0890887378787 & 23.4658145412411 & 24.7123629345162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42906&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]23.0732291665405[/C][C]22.9409847934510[/C][C]23.2054735396300[/C][/ROW]
[ROW][C]134[/C][C]23.1655800366621[/C][C]22.9741951087339[/C][C]23.3569649645904[/C][/ROW]
[ROW][C]135[/C][C]23.2579309067838[/C][C]23.0166094153225[/C][C]23.4992523982451[/C][/ROW]
[ROW][C]136[/C][C]23.3502817769055[/C][C]23.0631200811052[/C][C]23.6374434727057[/C][/ROW]
[ROW][C]137[/C][C]23.4426326470271[/C][C]23.1117925451177[/C][C]23.7734727489365[/C][/ROW]
[ROW][C]138[/C][C]23.5349835171488[/C][C]23.1616663420245[/C][C]23.9083006922730[/C][/ROW]
[ROW][C]139[/C][C]23.6273343872704[/C][C]23.2121921096343[/C][C]24.0424766649066[/C][/ROW]
[ROW][C]140[/C][C]23.7196852573921[/C][C]23.2630267242867[/C][C]24.1763437904974[/C][/ROW]
[ROW][C]141[/C][C]23.8120361275137[/C][C]23.3139426831825[/C][C]24.3101295718449[/C][/ROW]
[ROW][C]142[/C][C]23.9043869976354[/C][C]23.3647825578127[/C][C]24.4439914374581[/C][/ROW]
[ROW][C]143[/C][C]23.9967378677570[/C][C]23.4154339171926[/C][C]24.5780418183215[/C][/ROW]
[ROW][C]144[/C][C]24.0890887378787[/C][C]23.4658145412411[/C][C]24.7123629345162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42906&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42906&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
13323.073229166540522.940984793451023.2054735396300
13423.165580036662122.974195108733923.3569649645904
13523.257930906783823.016609415322523.4992523982451
13623.350281776905523.063120081105223.6374434727057
13723.442632647027123.111792545117723.7734727489365
13823.534983517148823.161666342024523.9083006922730
13923.627334387270423.212192109634324.0424766649066
14023.719685257392123.263026724286724.1763437904974
14123.812036127513723.313942683182524.3101295718449
14223.904386997635423.364782557812724.4439914374581
14323.996737867757023.415433917192624.5780418183215
14424.089088737878723.465814541241124.7123629345162



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')