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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 23 Nov 2012 17:00:51 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/23/t13537080774qfbzd8folmdmhm.htm/, Retrieved Tue, 30 Apr 2024 04:56:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192299, Retrieved Tue, 30 Apr 2024 04:56:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:43:04] [74be16979710d4c4e7c6647856088456]
- RM D  [Exponential Smoothing] [ws8] [2012-11-23 21:24:16] [74be16979710d4c4e7c6647856088456]
- R P     [Exponential Smoothing] [ws8] [2012-11-23 21:53:38] [74be16979710d4c4e7c6647856088456]
-             [Exponential Smoothing] [ws8] [2012-11-23 22:00:51] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-   PD          [Exponential Smoothing] [Deel 4: tijdreeks...] [2012-12-18 19:07:23] [5e6119a0aa181aac6bb71d6b937f8665]
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Dataseries X:
88.1
101.7
114.8
103.4
96.4
110
71.1
79.4
119.2
99.1
113.2
103.6
97.5
102.4
120.8
89.5
101.7
112.5
72.4
84.7
117.2
112.8
111.3
102.3
95.2
103
116.4
95.1
100.7
112.4
75.3
93.3
118.6
118.7
110.7
113.3
89.5
106.3
115.1
105.7
95.8
114.7
79.6
80.6
125
127.5
99.5
104.3
90
96
108.9
95.8
87.2
108.4
74.9
80.8
119.1
107.9
106.9
96.8
93.7
95.2
112.7
98.5
91.5
112
76.7
84.7
114.9
108.4
104.6
111.3
90.8
109.1
121
95.2
110.5
102.4
86.7
99.1
126
110.3
104.6
103.1
102




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192299&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192299&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.105912321246482
beta0
gamma0.571454096039101

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.105912321246482 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.571454096039101 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192299&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]0.105912321246482[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.571454096039101[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192299&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
alpha0.105912321246482
beta0
gamma0.571454096039101







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1397.597.25446047008540.245539529914566
14102.4102.0540238239640.345976176035862
15120.8120.5017246561720.298275343828223
1689.588.89437338251490.6056266174851
17101.7100.8154077290220.884592270977564
18112.5111.9909879754390.509012024560604
1972.472.5476229794773-0.147622979477319
2084.780.55971224602594.14028775397406
21117.2120.667610758319-3.46761075831873
22112.8100.678072412712.1219275872997
23111.3116.568824927094-5.268824927094
24102.3106.234349141132-3.93434914113185
2595.299.833330978259-4.63333097825904
26103104.167477933812-1.16747793381195
27116.4122.430513538786-6.03051353878593
2895.190.30990055050154.79009944949853
29100.7102.816654067658-2.11665406765849
30112.4113.482470107537-1.08247010753708
3175.373.53505297863251.76494702136752
3293.383.94052948859819.35947051140185
33118.6120.714099670893-2.11409967089317
34118.7108.8330786859839.86692131401746
35110.7115.599539917374-4.8995399173738
36113.3105.9859997657127.31400023428765
3789.5100.419189559036-10.9191895590364
38106.3105.8583951668560.44160483314424
39115.1121.80718135897-6.70718135897026
40105.795.143477422018210.5565225779818
4195.8104.732098165966-8.93209816596554
42114.7115.204470380318-0.504470380317812
4379.676.77310156649212.82689843350792
4480.691.1713222054066-10.5713222054066
45125119.9717838935125.02821610648789
46127.5114.96868599712412.531314002876
4799.5114.472710227793-14.9727102277928
48104.3110.032562104979-5.73256210497891
499093.7680753277621-3.76807532776215
5096105.769243474671-9.7692434746707
51108.9116.984045217923-8.08404521792335
5295.898.9950598297148-3.19505982971476
5387.297.1698962723845-9.96989627238453
54108.4111.838281303083-3.43828130308292
5574.974.79828225305270.101717746947344
5680.882.0623189210747-1.26231892107475
57119.1119.818991898553-0.718991898552574
58107.9118.040752166884-10.1407521668844
59106.9101.0908923199695.8091076800313
6096.8103.572864263967-6.77286426396741
6193.788.20191202950895.49808797049108
6295.298.1183038015563-2.91830380155632
63112.7110.9197229252591.78027707474141
6498.596.47342043684212.0265795631579
6591.591.7398251958925-0.23982519589255
66112110.7759431091271.2240568908734
6776.776.03843506878220.661564931217796
6884.782.66483910648492.03516089351508
69114.9121.048357936998-6.14835793699758
70108.4113.881220847288-5.48122084728787
71104.6105.574125726483-0.974125726483223
72111.3100.90916191604210.3908380839583
7390.893.6256556764374-2.82565567643742
74109.198.360272831768910.7397271682311
75121115.0088919575075.99110804249305
7695.2101.134411697984-5.93441169798375
77110.594.399675059471416.1003249405286
78102.4115.914357574731-13.5143575747313
7986.779.32847579263477.37152420736533
8099.187.367358668749511.7326413312504
81126122.59675434453.40324565549965
82110.3116.782110160336-6.48211016033601
83104.6110.671818937706-6.0718189377064
84103.1111.273648318766-8.17364831876623
8510295.27123019901756.72876980098255

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 97.5 & 97.2544604700854 & 0.245539529914566 \tabularnewline
14 & 102.4 & 102.054023823964 & 0.345976176035862 \tabularnewline
15 & 120.8 & 120.501724656172 & 0.298275343828223 \tabularnewline
16 & 89.5 & 88.8943733825149 & 0.6056266174851 \tabularnewline
17 & 101.7 & 100.815407729022 & 0.884592270977564 \tabularnewline
18 & 112.5 & 111.990987975439 & 0.509012024560604 \tabularnewline
19 & 72.4 & 72.5476229794773 & -0.147622979477319 \tabularnewline
20 & 84.7 & 80.5597122460259 & 4.14028775397406 \tabularnewline
21 & 117.2 & 120.667610758319 & -3.46761075831873 \tabularnewline
22 & 112.8 & 100.6780724127 & 12.1219275872997 \tabularnewline
23 & 111.3 & 116.568824927094 & -5.268824927094 \tabularnewline
24 & 102.3 & 106.234349141132 & -3.93434914113185 \tabularnewline
25 & 95.2 & 99.833330978259 & -4.63333097825904 \tabularnewline
26 & 103 & 104.167477933812 & -1.16747793381195 \tabularnewline
27 & 116.4 & 122.430513538786 & -6.03051353878593 \tabularnewline
28 & 95.1 & 90.3099005505015 & 4.79009944949853 \tabularnewline
29 & 100.7 & 102.816654067658 & -2.11665406765849 \tabularnewline
30 & 112.4 & 113.482470107537 & -1.08247010753708 \tabularnewline
31 & 75.3 & 73.5350529786325 & 1.76494702136752 \tabularnewline
32 & 93.3 & 83.9405294885981 & 9.35947051140185 \tabularnewline
33 & 118.6 & 120.714099670893 & -2.11409967089317 \tabularnewline
34 & 118.7 & 108.833078685983 & 9.86692131401746 \tabularnewline
35 & 110.7 & 115.599539917374 & -4.8995399173738 \tabularnewline
36 & 113.3 & 105.985999765712 & 7.31400023428765 \tabularnewline
37 & 89.5 & 100.419189559036 & -10.9191895590364 \tabularnewline
38 & 106.3 & 105.858395166856 & 0.44160483314424 \tabularnewline
39 & 115.1 & 121.80718135897 & -6.70718135897026 \tabularnewline
40 & 105.7 & 95.1434774220182 & 10.5565225779818 \tabularnewline
41 & 95.8 & 104.732098165966 & -8.93209816596554 \tabularnewline
42 & 114.7 & 115.204470380318 & -0.504470380317812 \tabularnewline
43 & 79.6 & 76.7731015664921 & 2.82689843350792 \tabularnewline
44 & 80.6 & 91.1713222054066 & -10.5713222054066 \tabularnewline
45 & 125 & 119.971783893512 & 5.02821610648789 \tabularnewline
46 & 127.5 & 114.968685997124 & 12.531314002876 \tabularnewline
47 & 99.5 & 114.472710227793 & -14.9727102277928 \tabularnewline
48 & 104.3 & 110.032562104979 & -5.73256210497891 \tabularnewline
49 & 90 & 93.7680753277621 & -3.76807532776215 \tabularnewline
50 & 96 & 105.769243474671 & -9.7692434746707 \tabularnewline
51 & 108.9 & 116.984045217923 & -8.08404521792335 \tabularnewline
52 & 95.8 & 98.9950598297148 & -3.19505982971476 \tabularnewline
53 & 87.2 & 97.1698962723845 & -9.96989627238453 \tabularnewline
54 & 108.4 & 111.838281303083 & -3.43828130308292 \tabularnewline
55 & 74.9 & 74.7982822530527 & 0.101717746947344 \tabularnewline
56 & 80.8 & 82.0623189210747 & -1.26231892107475 \tabularnewline
57 & 119.1 & 119.818991898553 & -0.718991898552574 \tabularnewline
58 & 107.9 & 118.040752166884 & -10.1407521668844 \tabularnewline
59 & 106.9 & 101.090892319969 & 5.8091076800313 \tabularnewline
60 & 96.8 & 103.572864263967 & -6.77286426396741 \tabularnewline
61 & 93.7 & 88.2019120295089 & 5.49808797049108 \tabularnewline
62 & 95.2 & 98.1183038015563 & -2.91830380155632 \tabularnewline
63 & 112.7 & 110.919722925259 & 1.78027707474141 \tabularnewline
64 & 98.5 & 96.4734204368421 & 2.0265795631579 \tabularnewline
65 & 91.5 & 91.7398251958925 & -0.23982519589255 \tabularnewline
66 & 112 & 110.775943109127 & 1.2240568908734 \tabularnewline
67 & 76.7 & 76.0384350687822 & 0.661564931217796 \tabularnewline
68 & 84.7 & 82.6648391064849 & 2.03516089351508 \tabularnewline
69 & 114.9 & 121.048357936998 & -6.14835793699758 \tabularnewline
70 & 108.4 & 113.881220847288 & -5.48122084728787 \tabularnewline
71 & 104.6 & 105.574125726483 & -0.974125726483223 \tabularnewline
72 & 111.3 & 100.909161916042 & 10.3908380839583 \tabularnewline
73 & 90.8 & 93.6256556764374 & -2.82565567643742 \tabularnewline
74 & 109.1 & 98.3602728317689 & 10.7397271682311 \tabularnewline
75 & 121 & 115.008891957507 & 5.99110804249305 \tabularnewline
76 & 95.2 & 101.134411697984 & -5.93441169798375 \tabularnewline
77 & 110.5 & 94.3996750594714 & 16.1003249405286 \tabularnewline
78 & 102.4 & 115.914357574731 & -13.5143575747313 \tabularnewline
79 & 86.7 & 79.3284757926347 & 7.37152420736533 \tabularnewline
80 & 99.1 & 87.3673586687495 & 11.7326413312504 \tabularnewline
81 & 126 & 122.5967543445 & 3.40324565549965 \tabularnewline
82 & 110.3 & 116.782110160336 & -6.48211016033601 \tabularnewline
83 & 104.6 & 110.671818937706 & -6.0718189377064 \tabularnewline
84 & 103.1 & 111.273648318766 & -8.17364831876623 \tabularnewline
85 & 102 & 95.2712301990175 & 6.72876980098255 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192299&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]97.5[/C][C]97.2544604700854[/C][C]0.245539529914566[/C][/ROW]
[ROW][C]14[/C][C]102.4[/C][C]102.054023823964[/C][C]0.345976176035862[/C][/ROW]
[ROW][C]15[/C][C]120.8[/C][C]120.501724656172[/C][C]0.298275343828223[/C][/ROW]
[ROW][C]16[/C][C]89.5[/C][C]88.8943733825149[/C][C]0.6056266174851[/C][/ROW]
[ROW][C]17[/C][C]101.7[/C][C]100.815407729022[/C][C]0.884592270977564[/C][/ROW]
[ROW][C]18[/C][C]112.5[/C][C]111.990987975439[/C][C]0.509012024560604[/C][/ROW]
[ROW][C]19[/C][C]72.4[/C][C]72.5476229794773[/C][C]-0.147622979477319[/C][/ROW]
[ROW][C]20[/C][C]84.7[/C][C]80.5597122460259[/C][C]4.14028775397406[/C][/ROW]
[ROW][C]21[/C][C]117.2[/C][C]120.667610758319[/C][C]-3.46761075831873[/C][/ROW]
[ROW][C]22[/C][C]112.8[/C][C]100.6780724127[/C][C]12.1219275872997[/C][/ROW]
[ROW][C]23[/C][C]111.3[/C][C]116.568824927094[/C][C]-5.268824927094[/C][/ROW]
[ROW][C]24[/C][C]102.3[/C][C]106.234349141132[/C][C]-3.93434914113185[/C][/ROW]
[ROW][C]25[/C][C]95.2[/C][C]99.833330978259[/C][C]-4.63333097825904[/C][/ROW]
[ROW][C]26[/C][C]103[/C][C]104.167477933812[/C][C]-1.16747793381195[/C][/ROW]
[ROW][C]27[/C][C]116.4[/C][C]122.430513538786[/C][C]-6.03051353878593[/C][/ROW]
[ROW][C]28[/C][C]95.1[/C][C]90.3099005505015[/C][C]4.79009944949853[/C][/ROW]
[ROW][C]29[/C][C]100.7[/C][C]102.816654067658[/C][C]-2.11665406765849[/C][/ROW]
[ROW][C]30[/C][C]112.4[/C][C]113.482470107537[/C][C]-1.08247010753708[/C][/ROW]
[ROW][C]31[/C][C]75.3[/C][C]73.5350529786325[/C][C]1.76494702136752[/C][/ROW]
[ROW][C]32[/C][C]93.3[/C][C]83.9405294885981[/C][C]9.35947051140185[/C][/ROW]
[ROW][C]33[/C][C]118.6[/C][C]120.714099670893[/C][C]-2.11409967089317[/C][/ROW]
[ROW][C]34[/C][C]118.7[/C][C]108.833078685983[/C][C]9.86692131401746[/C][/ROW]
[ROW][C]35[/C][C]110.7[/C][C]115.599539917374[/C][C]-4.8995399173738[/C][/ROW]
[ROW][C]36[/C][C]113.3[/C][C]105.985999765712[/C][C]7.31400023428765[/C][/ROW]
[ROW][C]37[/C][C]89.5[/C][C]100.419189559036[/C][C]-10.9191895590364[/C][/ROW]
[ROW][C]38[/C][C]106.3[/C][C]105.858395166856[/C][C]0.44160483314424[/C][/ROW]
[ROW][C]39[/C][C]115.1[/C][C]121.80718135897[/C][C]-6.70718135897026[/C][/ROW]
[ROW][C]40[/C][C]105.7[/C][C]95.1434774220182[/C][C]10.5565225779818[/C][/ROW]
[ROW][C]41[/C][C]95.8[/C][C]104.732098165966[/C][C]-8.93209816596554[/C][/ROW]
[ROW][C]42[/C][C]114.7[/C][C]115.204470380318[/C][C]-0.504470380317812[/C][/ROW]
[ROW][C]43[/C][C]79.6[/C][C]76.7731015664921[/C][C]2.82689843350792[/C][/ROW]
[ROW][C]44[/C][C]80.6[/C][C]91.1713222054066[/C][C]-10.5713222054066[/C][/ROW]
[ROW][C]45[/C][C]125[/C][C]119.971783893512[/C][C]5.02821610648789[/C][/ROW]
[ROW][C]46[/C][C]127.5[/C][C]114.968685997124[/C][C]12.531314002876[/C][/ROW]
[ROW][C]47[/C][C]99.5[/C][C]114.472710227793[/C][C]-14.9727102277928[/C][/ROW]
[ROW][C]48[/C][C]104.3[/C][C]110.032562104979[/C][C]-5.73256210497891[/C][/ROW]
[ROW][C]49[/C][C]90[/C][C]93.7680753277621[/C][C]-3.76807532776215[/C][/ROW]
[ROW][C]50[/C][C]96[/C][C]105.769243474671[/C][C]-9.7692434746707[/C][/ROW]
[ROW][C]51[/C][C]108.9[/C][C]116.984045217923[/C][C]-8.08404521792335[/C][/ROW]
[ROW][C]52[/C][C]95.8[/C][C]98.9950598297148[/C][C]-3.19505982971476[/C][/ROW]
[ROW][C]53[/C][C]87.2[/C][C]97.1698962723845[/C][C]-9.96989627238453[/C][/ROW]
[ROW][C]54[/C][C]108.4[/C][C]111.838281303083[/C][C]-3.43828130308292[/C][/ROW]
[ROW][C]55[/C][C]74.9[/C][C]74.7982822530527[/C][C]0.101717746947344[/C][/ROW]
[ROW][C]56[/C][C]80.8[/C][C]82.0623189210747[/C][C]-1.26231892107475[/C][/ROW]
[ROW][C]57[/C][C]119.1[/C][C]119.818991898553[/C][C]-0.718991898552574[/C][/ROW]
[ROW][C]58[/C][C]107.9[/C][C]118.040752166884[/C][C]-10.1407521668844[/C][/ROW]
[ROW][C]59[/C][C]106.9[/C][C]101.090892319969[/C][C]5.8091076800313[/C][/ROW]
[ROW][C]60[/C][C]96.8[/C][C]103.572864263967[/C][C]-6.77286426396741[/C][/ROW]
[ROW][C]61[/C][C]93.7[/C][C]88.2019120295089[/C][C]5.49808797049108[/C][/ROW]
[ROW][C]62[/C][C]95.2[/C][C]98.1183038015563[/C][C]-2.91830380155632[/C][/ROW]
[ROW][C]63[/C][C]112.7[/C][C]110.919722925259[/C][C]1.78027707474141[/C][/ROW]
[ROW][C]64[/C][C]98.5[/C][C]96.4734204368421[/C][C]2.0265795631579[/C][/ROW]
[ROW][C]65[/C][C]91.5[/C][C]91.7398251958925[/C][C]-0.23982519589255[/C][/ROW]
[ROW][C]66[/C][C]112[/C][C]110.775943109127[/C][C]1.2240568908734[/C][/ROW]
[ROW][C]67[/C][C]76.7[/C][C]76.0384350687822[/C][C]0.661564931217796[/C][/ROW]
[ROW][C]68[/C][C]84.7[/C][C]82.6648391064849[/C][C]2.03516089351508[/C][/ROW]
[ROW][C]69[/C][C]114.9[/C][C]121.048357936998[/C][C]-6.14835793699758[/C][/ROW]
[ROW][C]70[/C][C]108.4[/C][C]113.881220847288[/C][C]-5.48122084728787[/C][/ROW]
[ROW][C]71[/C][C]104.6[/C][C]105.574125726483[/C][C]-0.974125726483223[/C][/ROW]
[ROW][C]72[/C][C]111.3[/C][C]100.909161916042[/C][C]10.3908380839583[/C][/ROW]
[ROW][C]73[/C][C]90.8[/C][C]93.6256556764374[/C][C]-2.82565567643742[/C][/ROW]
[ROW][C]74[/C][C]109.1[/C][C]98.3602728317689[/C][C]10.7397271682311[/C][/ROW]
[ROW][C]75[/C][C]121[/C][C]115.008891957507[/C][C]5.99110804249305[/C][/ROW]
[ROW][C]76[/C][C]95.2[/C][C]101.134411697984[/C][C]-5.93441169798375[/C][/ROW]
[ROW][C]77[/C][C]110.5[/C][C]94.3996750594714[/C][C]16.1003249405286[/C][/ROW]
[ROW][C]78[/C][C]102.4[/C][C]115.914357574731[/C][C]-13.5143575747313[/C][/ROW]
[ROW][C]79[/C][C]86.7[/C][C]79.3284757926347[/C][C]7.37152420736533[/C][/ROW]
[ROW][C]80[/C][C]99.1[/C][C]87.3673586687495[/C][C]11.7326413312504[/C][/ROW]
[ROW][C]81[/C][C]126[/C][C]122.5967543445[/C][C]3.40324565549965[/C][/ROW]
[ROW][C]82[/C][C]110.3[/C][C]116.782110160336[/C][C]-6.48211016033601[/C][/ROW]
[ROW][C]83[/C][C]104.6[/C][C]110.671818937706[/C][C]-6.0718189377064[/C][/ROW]
[ROW][C]84[/C][C]103.1[/C][C]111.273648318766[/C][C]-8.17364831876623[/C][/ROW]
[ROW][C]85[/C][C]102[/C][C]95.2712301990175[/C][C]6.72876980098255[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192299&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192299&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
1397.597.25446047008540.245539529914566
14102.4102.0540238239640.345976176035862
15120.8120.5017246561720.298275343828223
1689.588.89437338251490.6056266174851
17101.7100.8154077290220.884592270977564
18112.5111.9909879754390.509012024560604
1972.472.5476229794773-0.147622979477319
2084.780.55971224602594.14028775397406
21117.2120.667610758319-3.46761075831873
22112.8100.678072412712.1219275872997
23111.3116.568824927094-5.268824927094
24102.3106.234349141132-3.93434914113185
2595.299.833330978259-4.63333097825904
26103104.167477933812-1.16747793381195
27116.4122.430513538786-6.03051353878593
2895.190.30990055050154.79009944949853
29100.7102.816654067658-2.11665406765849
30112.4113.482470107537-1.08247010753708
3175.373.53505297863251.76494702136752
3293.383.94052948859819.35947051140185
33118.6120.714099670893-2.11409967089317
34118.7108.8330786859839.86692131401746
35110.7115.599539917374-4.8995399173738
36113.3105.9859997657127.31400023428765
3789.5100.419189559036-10.9191895590364
38106.3105.8583951668560.44160483314424
39115.1121.80718135897-6.70718135897026
40105.795.143477422018210.5565225779818
4195.8104.732098165966-8.93209816596554
42114.7115.204470380318-0.504470380317812
4379.676.77310156649212.82689843350792
4480.691.1713222054066-10.5713222054066
45125119.9717838935125.02821610648789
46127.5114.96868599712412.531314002876
4799.5114.472710227793-14.9727102277928
48104.3110.032562104979-5.73256210497891
499093.7680753277621-3.76807532776215
5096105.769243474671-9.7692434746707
51108.9116.984045217923-8.08404521792335
5295.898.9950598297148-3.19505982971476
5387.297.1698962723845-9.96989627238453
54108.4111.838281303083-3.43828130308292
5574.974.79828225305270.101717746947344
5680.882.0623189210747-1.26231892107475
57119.1119.818991898553-0.718991898552574
58107.9118.040752166884-10.1407521668844
59106.9101.0908923199695.8091076800313
6096.8103.572864263967-6.77286426396741
6193.788.20191202950895.49808797049108
6295.298.1183038015563-2.91830380155632
63112.7110.9197229252591.78027707474141
6498.596.47342043684212.0265795631579
6591.591.7398251958925-0.23982519589255
66112110.7759431091271.2240568908734
6776.776.03843506878220.661564931217796
6884.782.66483910648492.03516089351508
69114.9121.048357936998-6.14835793699758
70108.4113.881220847288-5.48122084728787
71104.6105.574125726483-0.974125726483223
72111.3100.90916191604210.3908380839583
7390.893.6256556764374-2.82565567643742
74109.198.360272831768910.7397271682311
75121115.0088919575075.99110804249305
7695.2101.134411697984-5.93441169798375
77110.594.399675059471416.1003249405286
78102.4115.914357574731-13.5143575747313
7986.779.32847579263477.37152420736533
8099.187.367358668749511.7326413312504
81126122.59675434453.40324565549965
82110.3116.782110160336-6.48211016033601
83104.6110.671818937706-6.0718189377064
84103.1111.273648318766-8.17364831876623
8510295.27123019901756.72876980098255







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
86107.94874069026194.8437395742058121.053741806316
87121.033678097587107.855379810144134.21197638503
88100.43155908747587.1803690558646113.682749119086
89105.58355921746492.2598762148222118.907242220106
90110.26198724619996.866203571627123.657770920771
9185.778667407441972.311169059309199.2461657555747
9295.265040904624981.7262077474436108.803874061806
93124.996066618265111.386272543444138.605860693086
94113.770251285146100.089864365908127.450638204384
95108.5561255177394.8055081584587122.306742877001
96108.72714751177794.9066565920546122.547638431499
97101.20451293560787.3144999491784115.094525922035

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
86 & 107.948740690261 & 94.8437395742058 & 121.053741806316 \tabularnewline
87 & 121.033678097587 & 107.855379810144 & 134.21197638503 \tabularnewline
88 & 100.431559087475 & 87.1803690558646 & 113.682749119086 \tabularnewline
89 & 105.583559217464 & 92.2598762148222 & 118.907242220106 \tabularnewline
90 & 110.261987246199 & 96.866203571627 & 123.657770920771 \tabularnewline
91 & 85.7786674074419 & 72.3111690593091 & 99.2461657555747 \tabularnewline
92 & 95.2650409046249 & 81.7262077474436 & 108.803874061806 \tabularnewline
93 & 124.996066618265 & 111.386272543444 & 138.605860693086 \tabularnewline
94 & 113.770251285146 & 100.089864365908 & 127.450638204384 \tabularnewline
95 & 108.55612551773 & 94.8055081584587 & 122.306742877001 \tabularnewline
96 & 108.727147511777 & 94.9066565920546 & 122.547638431499 \tabularnewline
97 & 101.204512935607 & 87.3144999491784 & 115.094525922035 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192299&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]86[/C][C]107.948740690261[/C][C]94.8437395742058[/C][C]121.053741806316[/C][/ROW]
[ROW][C]87[/C][C]121.033678097587[/C][C]107.855379810144[/C][C]134.21197638503[/C][/ROW]
[ROW][C]88[/C][C]100.431559087475[/C][C]87.1803690558646[/C][C]113.682749119086[/C][/ROW]
[ROW][C]89[/C][C]105.583559217464[/C][C]92.2598762148222[/C][C]118.907242220106[/C][/ROW]
[ROW][C]90[/C][C]110.261987246199[/C][C]96.866203571627[/C][C]123.657770920771[/C][/ROW]
[ROW][C]91[/C][C]85.7786674074419[/C][C]72.3111690593091[/C][C]99.2461657555747[/C][/ROW]
[ROW][C]92[/C][C]95.2650409046249[/C][C]81.7262077474436[/C][C]108.803874061806[/C][/ROW]
[ROW][C]93[/C][C]124.996066618265[/C][C]111.386272543444[/C][C]138.605860693086[/C][/ROW]
[ROW][C]94[/C][C]113.770251285146[/C][C]100.089864365908[/C][C]127.450638204384[/C][/ROW]
[ROW][C]95[/C][C]108.55612551773[/C][C]94.8055081584587[/C][C]122.306742877001[/C][/ROW]
[ROW][C]96[/C][C]108.727147511777[/C][C]94.9066565920546[/C][C]122.547638431499[/C][/ROW]
[ROW][C]97[/C][C]101.204512935607[/C][C]87.3144999491784[/C][C]115.094525922035[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192299&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192299&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
86107.94874069026194.8437395742058121.053741806316
87121.033678097587107.855379810144134.21197638503
88100.43155908747587.1803690558646113.682749119086
89105.58355921746492.2598762148222118.907242220106
90110.26198724619996.866203571627123.657770920771
9185.778667407441972.311169059309199.2461657555747
9295.265040904624981.7262077474436108.803874061806
93124.996066618265111.386272543444138.605860693086
94113.770251285146100.089864365908127.450638204384
95108.5561255177394.8055081584587122.306742877001
96108.72714751177794.9066565920546122.547638431499
97101.20451293560787.3144999491784115.094525922035



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