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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 13 Jan 2012 11:26:54 -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/Jan/13/t1326473150jjg97t4552jqf02.htm/, Retrieved Thu, 02 May 2024 02:19:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=161030, Retrieved Thu, 02 May 2024 02:19:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact202
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2012-01-13 16:26:54] [ded1bbd321fb25f4a0a8bacc8426c40e] [Current]
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Dataseries X:
2.98
2.98
2.98
3.03
3.07
3.08
3.08
3.08
3.08
3.08
3.08
3.08
3.08
3.08
3.12
3.15
3.15
3.15
3.15
3.16
3.19
3.20
3.20
3.20
3.21
3.21
3.21
3.21
3.21
3.28
3.30
3.30
3.30
3.30
3.30
3.30
3.30
3.45
3.49
3.50
3.54
3.64
3.67
3.67
3.68
3.68
3.68
3.68
3.70
3.83
3.87
3.87
3.87
3.87
3.87
3.87
3.87
3.87
3.87
3.88
3.88
3.88
3.88
3.88
3.88
3.89
3.89
3.91
3.95
3.99
3.99
3.99
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.00
4.06
4.07
4.07
4.07
4.07
4.07
4.30
4.44
4.52
4.52
4.52
4.53
4.53
4.53
4.53
4.53
4.53
4.53
4.53
4.61
4.63
4.63
4.63
4.63
4.63
4.63
4.63
4.63
4.63
4.63
4.66
4.73
4.73
4.72
4.7
4.74
4.74
4.74
4.76
4.88
4.88
4.88
4.88
4.89
4.97
4.97
4.97
4.97
4.97
4.97
4.97
4.97




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'AstonUniversity' @ aston.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 & 1 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161030&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161030&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'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.0130335039696298
gamma0.0308664218947129

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.0130335039696298 \tabularnewline
gamma & 0.0308664218947129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161030&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]0.0130335039696298[/C][/ROW]
[ROW][C]gamma[/C][C]0.0308664218947129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161030&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
beta0.0130335039696298
gamma0.0308664218947129







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133.083.032180571624210.0478194283757856
143.083.08246649036668-0.00246649036667934
153.123.12079191661507-0.000791916615074495
163.153.149108035426050.000891964573948911
173.153.148704140018470.00129585998152715
183.153.148725093063090.00127490693691046
193.153.18293944053139-0.032939440531389
203.163.149793089850890.0102069101491069
213.193.158185109053850.0318148909461526
223.23.187645228833910.0123547711660899
233.23.2003647284997-0.000364728499704814
243.23.20251123242575-0.00251123242574591
253.213.202903431918680.00709656808131864
263.213.2125410833097-0.00254108330970437
273.213.25248422247078-0.0424842224707787
283.213.23948861739089-0.0294886173908946
293.213.207912487772960.0020875122270394
303.283.207946241216580.0720537587834156
313.33.31427181590677-0.0142718159067727
323.33.299963484489053.65155109496307e-05
333.33.298174004481110.0018259955188924
343.33.297312243750460.00268775624953799
353.33.30002288844722-2.28884472170954e-05
363.33.30224177791105-0.00224177791105307
373.33.30265141378619-0.0026514137861855
383.453.302169475431440.147830524568556
393.493.49677136490936-0.00677136490936459
403.53.52358240681175-0.0235824068117516
413.543.49932540230760.0406745976923988
423.643.539728908833840.100271091166165
433.673.68025209206461-0.0102520920646101
443.673.67222354583628-0.00222354583627737
453.683.670196644227630.00980335577237179
463.683.679296249435910.000703750564091443
473.683.68228303519008-0.00228303519008399
483.683.68472351472424-0.00472351472423505
493.73.685147214931130.0148527850688702
503.833.70479683949560.1252031605044
513.873.88389801885099-0.0138980188509885
523.873.90915680429249-0.0391568042924852
533.873.87103005854955-0.00103005854955374
543.873.87101340330666-0.00101340330665911
553.873.9130340483556-0.0430340483555995
563.873.87227106006814-0.00227106006813704
573.873.87013489726787-0.00013489726786986
583.873.869086725351880.000913274648122187
593.873.87223043814726-0.00223043814725754
603.883.874799481977570.00520051802242572
613.883.88535885354171-0.00535885354171484
623.883.88475855135544-0.00475855135543934
633.883.93303408528552-0.0530340852855167
643.883.91731490317212-0.0373149031721192
653.883.879121076237480.000878923762524852
663.893.879135287748810.0108647122511947
673.893.93148272425073-0.0414827242507316
683.913.890536955891150.0194630441088517
693.953.908612844117230.0413871558827714
703.993.94795794501310.0420420549869052
713.993.99159618089583-0.00159618089583091
723.993.99425545364198-0.0042554536419841
7343.994727738879620.00527226112037615
7444.00423215335856-0.00423215335855698
7544.05400260025072-0.0540026002507217
7644.03780168903112-0.037801689031121
7743.998437405836490.00156259416350935
7843.998462671764670.00153732823532815
7944.04190901541045-0.0419090154104484
8043.999817135695110.000182864304889563
814.063.997650320731560.0623496792684435
824.074.057176464058450.0128235359415481
834.074.0706068244638-0.000606824463798006
844.074.07333476158405-0.00333476158404533
854.074.07383149420065-0.0038314942006501
864.074.07322867278492-0.00322867278491668
874.34.123873070372980.176126929627021
884.444.34191298034740.0980870196525983
894.524.4409483882420.079051611757996
904.524.52171825116025-0.00171825116025204
914.524.57079369999249-0.0507936999924867
924.534.523175856936190.00682414306380963
934.534.53076976889402-0.000769768894016032
944.534.529532742440670.000467257559325418
954.534.53320314825944-0.0032031482594439
964.534.53620142408918-0.00620142408918056
974.534.53671722978527-0.0067172297852709
984.534.53600944424753-0.00600944424752736
994.534.59237112466514-0.0623711246651402
1004.614.574015589605190.035984410394807
1014.634.610200417028390.0197995829716069
1024.634.63039347584545-0.000393475845447355
1034.634.68067072117882-0.0506707211788235
1044.634.63191540081129-0.00191540081128938
1054.634.629372756677520.00062724332248365
1064.634.628131755608790.00186824439121125
1074.634.63190501075581-0.00190501075581295
1084.634.63499004019986-0.00499004019986504
1094.634.63553730615135-0.00553730615135173
1104.634.6348338418347-0.00483384183470204
1114.664.69244331279933-0.0324433127993347
1124.734.704280391166460.0257196088335361
1134.734.729103425037910.000896574962086838
1144.724.72911792195537-0.00911792195536698
1154.74.77028018605993-0.0702801860599287
1164.744.700393220661260.0396067793387447
1174.744.738226790474760.00177320952523896
1184.744.736974969521420.00302503047858238
1194.764.740855327814610.0191446721853863
1204.884.764249897352860.115750102647141
1214.884.8861611822491-0.00616118224910434
1224.884.88541485510655-0.00541485510654738
1234.884.94613410725646-0.066134107256457
1244.894.92636734020113-0.0363673402011271
1254.974.888436928675230.081563071324771
1264.974.969247399934740.000752600065259124
1274.975.02322314410244-0.0532231441024447
1284.974.97090588781563-0.00090588781563472
1294.974.968195212203070.00180478779692539
1304.974.96688175016770.00311824983229414
1314.974.97094955525345-0.000949555253451528
1324.974.97427758840914-0.00427758840913928

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 3.08 & 3.03218057162421 & 0.0478194283757856 \tabularnewline
14 & 3.08 & 3.08246649036668 & -0.00246649036667934 \tabularnewline
15 & 3.12 & 3.12079191661507 & -0.000791916615074495 \tabularnewline
16 & 3.15 & 3.14910803542605 & 0.000891964573948911 \tabularnewline
17 & 3.15 & 3.14870414001847 & 0.00129585998152715 \tabularnewline
18 & 3.15 & 3.14872509306309 & 0.00127490693691046 \tabularnewline
19 & 3.15 & 3.18293944053139 & -0.032939440531389 \tabularnewline
20 & 3.16 & 3.14979308985089 & 0.0102069101491069 \tabularnewline
21 & 3.19 & 3.15818510905385 & 0.0318148909461526 \tabularnewline
22 & 3.2 & 3.18764522883391 & 0.0123547711660899 \tabularnewline
23 & 3.2 & 3.2003647284997 & -0.000364728499704814 \tabularnewline
24 & 3.2 & 3.20251123242575 & -0.00251123242574591 \tabularnewline
25 & 3.21 & 3.20290343191868 & 0.00709656808131864 \tabularnewline
26 & 3.21 & 3.2125410833097 & -0.00254108330970437 \tabularnewline
27 & 3.21 & 3.25248422247078 & -0.0424842224707787 \tabularnewline
28 & 3.21 & 3.23948861739089 & -0.0294886173908946 \tabularnewline
29 & 3.21 & 3.20791248777296 & 0.0020875122270394 \tabularnewline
30 & 3.28 & 3.20794624121658 & 0.0720537587834156 \tabularnewline
31 & 3.3 & 3.31427181590677 & -0.0142718159067727 \tabularnewline
32 & 3.3 & 3.29996348448905 & 3.65155109496307e-05 \tabularnewline
33 & 3.3 & 3.29817400448111 & 0.0018259955188924 \tabularnewline
34 & 3.3 & 3.29731224375046 & 0.00268775624953799 \tabularnewline
35 & 3.3 & 3.30002288844722 & -2.28884472170954e-05 \tabularnewline
36 & 3.3 & 3.30224177791105 & -0.00224177791105307 \tabularnewline
37 & 3.3 & 3.30265141378619 & -0.0026514137861855 \tabularnewline
38 & 3.45 & 3.30216947543144 & 0.147830524568556 \tabularnewline
39 & 3.49 & 3.49677136490936 & -0.00677136490936459 \tabularnewline
40 & 3.5 & 3.52358240681175 & -0.0235824068117516 \tabularnewline
41 & 3.54 & 3.4993254023076 & 0.0406745976923988 \tabularnewline
42 & 3.64 & 3.53972890883384 & 0.100271091166165 \tabularnewline
43 & 3.67 & 3.68025209206461 & -0.0102520920646101 \tabularnewline
44 & 3.67 & 3.67222354583628 & -0.00222354583627737 \tabularnewline
45 & 3.68 & 3.67019664422763 & 0.00980335577237179 \tabularnewline
46 & 3.68 & 3.67929624943591 & 0.000703750564091443 \tabularnewline
47 & 3.68 & 3.68228303519008 & -0.00228303519008399 \tabularnewline
48 & 3.68 & 3.68472351472424 & -0.00472351472423505 \tabularnewline
49 & 3.7 & 3.68514721493113 & 0.0148527850688702 \tabularnewline
50 & 3.83 & 3.7047968394956 & 0.1252031605044 \tabularnewline
51 & 3.87 & 3.88389801885099 & -0.0138980188509885 \tabularnewline
52 & 3.87 & 3.90915680429249 & -0.0391568042924852 \tabularnewline
53 & 3.87 & 3.87103005854955 & -0.00103005854955374 \tabularnewline
54 & 3.87 & 3.87101340330666 & -0.00101340330665911 \tabularnewline
55 & 3.87 & 3.9130340483556 & -0.0430340483555995 \tabularnewline
56 & 3.87 & 3.87227106006814 & -0.00227106006813704 \tabularnewline
57 & 3.87 & 3.87013489726787 & -0.00013489726786986 \tabularnewline
58 & 3.87 & 3.86908672535188 & 0.000913274648122187 \tabularnewline
59 & 3.87 & 3.87223043814726 & -0.00223043814725754 \tabularnewline
60 & 3.88 & 3.87479948197757 & 0.00520051802242572 \tabularnewline
61 & 3.88 & 3.88535885354171 & -0.00535885354171484 \tabularnewline
62 & 3.88 & 3.88475855135544 & -0.00475855135543934 \tabularnewline
63 & 3.88 & 3.93303408528552 & -0.0530340852855167 \tabularnewline
64 & 3.88 & 3.91731490317212 & -0.0373149031721192 \tabularnewline
65 & 3.88 & 3.87912107623748 & 0.000878923762524852 \tabularnewline
66 & 3.89 & 3.87913528774881 & 0.0108647122511947 \tabularnewline
67 & 3.89 & 3.93148272425073 & -0.0414827242507316 \tabularnewline
68 & 3.91 & 3.89053695589115 & 0.0194630441088517 \tabularnewline
69 & 3.95 & 3.90861284411723 & 0.0413871558827714 \tabularnewline
70 & 3.99 & 3.9479579450131 & 0.0420420549869052 \tabularnewline
71 & 3.99 & 3.99159618089583 & -0.00159618089583091 \tabularnewline
72 & 3.99 & 3.99425545364198 & -0.0042554536419841 \tabularnewline
73 & 4 & 3.99472773887962 & 0.00527226112037615 \tabularnewline
74 & 4 & 4.00423215335856 & -0.00423215335855698 \tabularnewline
75 & 4 & 4.05400260025072 & -0.0540026002507217 \tabularnewline
76 & 4 & 4.03780168903112 & -0.037801689031121 \tabularnewline
77 & 4 & 3.99843740583649 & 0.00156259416350935 \tabularnewline
78 & 4 & 3.99846267176467 & 0.00153732823532815 \tabularnewline
79 & 4 & 4.04190901541045 & -0.0419090154104484 \tabularnewline
80 & 4 & 3.99981713569511 & 0.000182864304889563 \tabularnewline
81 & 4.06 & 3.99765032073156 & 0.0623496792684435 \tabularnewline
82 & 4.07 & 4.05717646405845 & 0.0128235359415481 \tabularnewline
83 & 4.07 & 4.0706068244638 & -0.000606824463798006 \tabularnewline
84 & 4.07 & 4.07333476158405 & -0.00333476158404533 \tabularnewline
85 & 4.07 & 4.07383149420065 & -0.0038314942006501 \tabularnewline
86 & 4.07 & 4.07322867278492 & -0.00322867278491668 \tabularnewline
87 & 4.3 & 4.12387307037298 & 0.176126929627021 \tabularnewline
88 & 4.44 & 4.3419129803474 & 0.0980870196525983 \tabularnewline
89 & 4.52 & 4.440948388242 & 0.079051611757996 \tabularnewline
90 & 4.52 & 4.52171825116025 & -0.00171825116025204 \tabularnewline
91 & 4.52 & 4.57079369999249 & -0.0507936999924867 \tabularnewline
92 & 4.53 & 4.52317585693619 & 0.00682414306380963 \tabularnewline
93 & 4.53 & 4.53076976889402 & -0.000769768894016032 \tabularnewline
94 & 4.53 & 4.52953274244067 & 0.000467257559325418 \tabularnewline
95 & 4.53 & 4.53320314825944 & -0.0032031482594439 \tabularnewline
96 & 4.53 & 4.53620142408918 & -0.00620142408918056 \tabularnewline
97 & 4.53 & 4.53671722978527 & -0.0067172297852709 \tabularnewline
98 & 4.53 & 4.53600944424753 & -0.00600944424752736 \tabularnewline
99 & 4.53 & 4.59237112466514 & -0.0623711246651402 \tabularnewline
100 & 4.61 & 4.57401558960519 & 0.035984410394807 \tabularnewline
101 & 4.63 & 4.61020041702839 & 0.0197995829716069 \tabularnewline
102 & 4.63 & 4.63039347584545 & -0.000393475845447355 \tabularnewline
103 & 4.63 & 4.68067072117882 & -0.0506707211788235 \tabularnewline
104 & 4.63 & 4.63191540081129 & -0.00191540081128938 \tabularnewline
105 & 4.63 & 4.62937275667752 & 0.00062724332248365 \tabularnewline
106 & 4.63 & 4.62813175560879 & 0.00186824439121125 \tabularnewline
107 & 4.63 & 4.63190501075581 & -0.00190501075581295 \tabularnewline
108 & 4.63 & 4.63499004019986 & -0.00499004019986504 \tabularnewline
109 & 4.63 & 4.63553730615135 & -0.00553730615135173 \tabularnewline
110 & 4.63 & 4.6348338418347 & -0.00483384183470204 \tabularnewline
111 & 4.66 & 4.69244331279933 & -0.0324433127993347 \tabularnewline
112 & 4.73 & 4.70428039116646 & 0.0257196088335361 \tabularnewline
113 & 4.73 & 4.72910342503791 & 0.000896574962086838 \tabularnewline
114 & 4.72 & 4.72911792195537 & -0.00911792195536698 \tabularnewline
115 & 4.7 & 4.77028018605993 & -0.0702801860599287 \tabularnewline
116 & 4.74 & 4.70039322066126 & 0.0396067793387447 \tabularnewline
117 & 4.74 & 4.73822679047476 & 0.00177320952523896 \tabularnewline
118 & 4.74 & 4.73697496952142 & 0.00302503047858238 \tabularnewline
119 & 4.76 & 4.74085532781461 & 0.0191446721853863 \tabularnewline
120 & 4.88 & 4.76424989735286 & 0.115750102647141 \tabularnewline
121 & 4.88 & 4.8861611822491 & -0.00616118224910434 \tabularnewline
122 & 4.88 & 4.88541485510655 & -0.00541485510654738 \tabularnewline
123 & 4.88 & 4.94613410725646 & -0.066134107256457 \tabularnewline
124 & 4.89 & 4.92636734020113 & -0.0363673402011271 \tabularnewline
125 & 4.97 & 4.88843692867523 & 0.081563071324771 \tabularnewline
126 & 4.97 & 4.96924739993474 & 0.000752600065259124 \tabularnewline
127 & 4.97 & 5.02322314410244 & -0.0532231441024447 \tabularnewline
128 & 4.97 & 4.97090588781563 & -0.00090588781563472 \tabularnewline
129 & 4.97 & 4.96819521220307 & 0.00180478779692539 \tabularnewline
130 & 4.97 & 4.9668817501677 & 0.00311824983229414 \tabularnewline
131 & 4.97 & 4.97094955525345 & -0.000949555253451528 \tabularnewline
132 & 4.97 & 4.97427758840914 & -0.00427758840913928 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161030&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]3.08[/C][C]3.03218057162421[/C][C]0.0478194283757856[/C][/ROW]
[ROW][C]14[/C][C]3.08[/C][C]3.08246649036668[/C][C]-0.00246649036667934[/C][/ROW]
[ROW][C]15[/C][C]3.12[/C][C]3.12079191661507[/C][C]-0.000791916615074495[/C][/ROW]
[ROW][C]16[/C][C]3.15[/C][C]3.14910803542605[/C][C]0.000891964573948911[/C][/ROW]
[ROW][C]17[/C][C]3.15[/C][C]3.14870414001847[/C][C]0.00129585998152715[/C][/ROW]
[ROW][C]18[/C][C]3.15[/C][C]3.14872509306309[/C][C]0.00127490693691046[/C][/ROW]
[ROW][C]19[/C][C]3.15[/C][C]3.18293944053139[/C][C]-0.032939440531389[/C][/ROW]
[ROW][C]20[/C][C]3.16[/C][C]3.14979308985089[/C][C]0.0102069101491069[/C][/ROW]
[ROW][C]21[/C][C]3.19[/C][C]3.15818510905385[/C][C]0.0318148909461526[/C][/ROW]
[ROW][C]22[/C][C]3.2[/C][C]3.18764522883391[/C][C]0.0123547711660899[/C][/ROW]
[ROW][C]23[/C][C]3.2[/C][C]3.2003647284997[/C][C]-0.000364728499704814[/C][/ROW]
[ROW][C]24[/C][C]3.2[/C][C]3.20251123242575[/C][C]-0.00251123242574591[/C][/ROW]
[ROW][C]25[/C][C]3.21[/C][C]3.20290343191868[/C][C]0.00709656808131864[/C][/ROW]
[ROW][C]26[/C][C]3.21[/C][C]3.2125410833097[/C][C]-0.00254108330970437[/C][/ROW]
[ROW][C]27[/C][C]3.21[/C][C]3.25248422247078[/C][C]-0.0424842224707787[/C][/ROW]
[ROW][C]28[/C][C]3.21[/C][C]3.23948861739089[/C][C]-0.0294886173908946[/C][/ROW]
[ROW][C]29[/C][C]3.21[/C][C]3.20791248777296[/C][C]0.0020875122270394[/C][/ROW]
[ROW][C]30[/C][C]3.28[/C][C]3.20794624121658[/C][C]0.0720537587834156[/C][/ROW]
[ROW][C]31[/C][C]3.3[/C][C]3.31427181590677[/C][C]-0.0142718159067727[/C][/ROW]
[ROW][C]32[/C][C]3.3[/C][C]3.29996348448905[/C][C]3.65155109496307e-05[/C][/ROW]
[ROW][C]33[/C][C]3.3[/C][C]3.29817400448111[/C][C]0.0018259955188924[/C][/ROW]
[ROW][C]34[/C][C]3.3[/C][C]3.29731224375046[/C][C]0.00268775624953799[/C][/ROW]
[ROW][C]35[/C][C]3.3[/C][C]3.30002288844722[/C][C]-2.28884472170954e-05[/C][/ROW]
[ROW][C]36[/C][C]3.3[/C][C]3.30224177791105[/C][C]-0.00224177791105307[/C][/ROW]
[ROW][C]37[/C][C]3.3[/C][C]3.30265141378619[/C][C]-0.0026514137861855[/C][/ROW]
[ROW][C]38[/C][C]3.45[/C][C]3.30216947543144[/C][C]0.147830524568556[/C][/ROW]
[ROW][C]39[/C][C]3.49[/C][C]3.49677136490936[/C][C]-0.00677136490936459[/C][/ROW]
[ROW][C]40[/C][C]3.5[/C][C]3.52358240681175[/C][C]-0.0235824068117516[/C][/ROW]
[ROW][C]41[/C][C]3.54[/C][C]3.4993254023076[/C][C]0.0406745976923988[/C][/ROW]
[ROW][C]42[/C][C]3.64[/C][C]3.53972890883384[/C][C]0.100271091166165[/C][/ROW]
[ROW][C]43[/C][C]3.67[/C][C]3.68025209206461[/C][C]-0.0102520920646101[/C][/ROW]
[ROW][C]44[/C][C]3.67[/C][C]3.67222354583628[/C][C]-0.00222354583627737[/C][/ROW]
[ROW][C]45[/C][C]3.68[/C][C]3.67019664422763[/C][C]0.00980335577237179[/C][/ROW]
[ROW][C]46[/C][C]3.68[/C][C]3.67929624943591[/C][C]0.000703750564091443[/C][/ROW]
[ROW][C]47[/C][C]3.68[/C][C]3.68228303519008[/C][C]-0.00228303519008399[/C][/ROW]
[ROW][C]48[/C][C]3.68[/C][C]3.68472351472424[/C][C]-0.00472351472423505[/C][/ROW]
[ROW][C]49[/C][C]3.7[/C][C]3.68514721493113[/C][C]0.0148527850688702[/C][/ROW]
[ROW][C]50[/C][C]3.83[/C][C]3.7047968394956[/C][C]0.1252031605044[/C][/ROW]
[ROW][C]51[/C][C]3.87[/C][C]3.88389801885099[/C][C]-0.0138980188509885[/C][/ROW]
[ROW][C]52[/C][C]3.87[/C][C]3.90915680429249[/C][C]-0.0391568042924852[/C][/ROW]
[ROW][C]53[/C][C]3.87[/C][C]3.87103005854955[/C][C]-0.00103005854955374[/C][/ROW]
[ROW][C]54[/C][C]3.87[/C][C]3.87101340330666[/C][C]-0.00101340330665911[/C][/ROW]
[ROW][C]55[/C][C]3.87[/C][C]3.9130340483556[/C][C]-0.0430340483555995[/C][/ROW]
[ROW][C]56[/C][C]3.87[/C][C]3.87227106006814[/C][C]-0.00227106006813704[/C][/ROW]
[ROW][C]57[/C][C]3.87[/C][C]3.87013489726787[/C][C]-0.00013489726786986[/C][/ROW]
[ROW][C]58[/C][C]3.87[/C][C]3.86908672535188[/C][C]0.000913274648122187[/C][/ROW]
[ROW][C]59[/C][C]3.87[/C][C]3.87223043814726[/C][C]-0.00223043814725754[/C][/ROW]
[ROW][C]60[/C][C]3.88[/C][C]3.87479948197757[/C][C]0.00520051802242572[/C][/ROW]
[ROW][C]61[/C][C]3.88[/C][C]3.88535885354171[/C][C]-0.00535885354171484[/C][/ROW]
[ROW][C]62[/C][C]3.88[/C][C]3.88475855135544[/C][C]-0.00475855135543934[/C][/ROW]
[ROW][C]63[/C][C]3.88[/C][C]3.93303408528552[/C][C]-0.0530340852855167[/C][/ROW]
[ROW][C]64[/C][C]3.88[/C][C]3.91731490317212[/C][C]-0.0373149031721192[/C][/ROW]
[ROW][C]65[/C][C]3.88[/C][C]3.87912107623748[/C][C]0.000878923762524852[/C][/ROW]
[ROW][C]66[/C][C]3.89[/C][C]3.87913528774881[/C][C]0.0108647122511947[/C][/ROW]
[ROW][C]67[/C][C]3.89[/C][C]3.93148272425073[/C][C]-0.0414827242507316[/C][/ROW]
[ROW][C]68[/C][C]3.91[/C][C]3.89053695589115[/C][C]0.0194630441088517[/C][/ROW]
[ROW][C]69[/C][C]3.95[/C][C]3.90861284411723[/C][C]0.0413871558827714[/C][/ROW]
[ROW][C]70[/C][C]3.99[/C][C]3.9479579450131[/C][C]0.0420420549869052[/C][/ROW]
[ROW][C]71[/C][C]3.99[/C][C]3.99159618089583[/C][C]-0.00159618089583091[/C][/ROW]
[ROW][C]72[/C][C]3.99[/C][C]3.99425545364198[/C][C]-0.0042554536419841[/C][/ROW]
[ROW][C]73[/C][C]4[/C][C]3.99472773887962[/C][C]0.00527226112037615[/C][/ROW]
[ROW][C]74[/C][C]4[/C][C]4.00423215335856[/C][C]-0.00423215335855698[/C][/ROW]
[ROW][C]75[/C][C]4[/C][C]4.05400260025072[/C][C]-0.0540026002507217[/C][/ROW]
[ROW][C]76[/C][C]4[/C][C]4.03780168903112[/C][C]-0.037801689031121[/C][/ROW]
[ROW][C]77[/C][C]4[/C][C]3.99843740583649[/C][C]0.00156259416350935[/C][/ROW]
[ROW][C]78[/C][C]4[/C][C]3.99846267176467[/C][C]0.00153732823532815[/C][/ROW]
[ROW][C]79[/C][C]4[/C][C]4.04190901541045[/C][C]-0.0419090154104484[/C][/ROW]
[ROW][C]80[/C][C]4[/C][C]3.99981713569511[/C][C]0.000182864304889563[/C][/ROW]
[ROW][C]81[/C][C]4.06[/C][C]3.99765032073156[/C][C]0.0623496792684435[/C][/ROW]
[ROW][C]82[/C][C]4.07[/C][C]4.05717646405845[/C][C]0.0128235359415481[/C][/ROW]
[ROW][C]83[/C][C]4.07[/C][C]4.0706068244638[/C][C]-0.000606824463798006[/C][/ROW]
[ROW][C]84[/C][C]4.07[/C][C]4.07333476158405[/C][C]-0.00333476158404533[/C][/ROW]
[ROW][C]85[/C][C]4.07[/C][C]4.07383149420065[/C][C]-0.0038314942006501[/C][/ROW]
[ROW][C]86[/C][C]4.07[/C][C]4.07322867278492[/C][C]-0.00322867278491668[/C][/ROW]
[ROW][C]87[/C][C]4.3[/C][C]4.12387307037298[/C][C]0.176126929627021[/C][/ROW]
[ROW][C]88[/C][C]4.44[/C][C]4.3419129803474[/C][C]0.0980870196525983[/C][/ROW]
[ROW][C]89[/C][C]4.52[/C][C]4.440948388242[/C][C]0.079051611757996[/C][/ROW]
[ROW][C]90[/C][C]4.52[/C][C]4.52171825116025[/C][C]-0.00171825116025204[/C][/ROW]
[ROW][C]91[/C][C]4.52[/C][C]4.57079369999249[/C][C]-0.0507936999924867[/C][/ROW]
[ROW][C]92[/C][C]4.53[/C][C]4.52317585693619[/C][C]0.00682414306380963[/C][/ROW]
[ROW][C]93[/C][C]4.53[/C][C]4.53076976889402[/C][C]-0.000769768894016032[/C][/ROW]
[ROW][C]94[/C][C]4.53[/C][C]4.52953274244067[/C][C]0.000467257559325418[/C][/ROW]
[ROW][C]95[/C][C]4.53[/C][C]4.53320314825944[/C][C]-0.0032031482594439[/C][/ROW]
[ROW][C]96[/C][C]4.53[/C][C]4.53620142408918[/C][C]-0.00620142408918056[/C][/ROW]
[ROW][C]97[/C][C]4.53[/C][C]4.53671722978527[/C][C]-0.0067172297852709[/C][/ROW]
[ROW][C]98[/C][C]4.53[/C][C]4.53600944424753[/C][C]-0.00600944424752736[/C][/ROW]
[ROW][C]99[/C][C]4.53[/C][C]4.59237112466514[/C][C]-0.0623711246651402[/C][/ROW]
[ROW][C]100[/C][C]4.61[/C][C]4.57401558960519[/C][C]0.035984410394807[/C][/ROW]
[ROW][C]101[/C][C]4.63[/C][C]4.61020041702839[/C][C]0.0197995829716069[/C][/ROW]
[ROW][C]102[/C][C]4.63[/C][C]4.63039347584545[/C][C]-0.000393475845447355[/C][/ROW]
[ROW][C]103[/C][C]4.63[/C][C]4.68067072117882[/C][C]-0.0506707211788235[/C][/ROW]
[ROW][C]104[/C][C]4.63[/C][C]4.63191540081129[/C][C]-0.00191540081128938[/C][/ROW]
[ROW][C]105[/C][C]4.63[/C][C]4.62937275667752[/C][C]0.00062724332248365[/C][/ROW]
[ROW][C]106[/C][C]4.63[/C][C]4.62813175560879[/C][C]0.00186824439121125[/C][/ROW]
[ROW][C]107[/C][C]4.63[/C][C]4.63190501075581[/C][C]-0.00190501075581295[/C][/ROW]
[ROW][C]108[/C][C]4.63[/C][C]4.63499004019986[/C][C]-0.00499004019986504[/C][/ROW]
[ROW][C]109[/C][C]4.63[/C][C]4.63553730615135[/C][C]-0.00553730615135173[/C][/ROW]
[ROW][C]110[/C][C]4.63[/C][C]4.6348338418347[/C][C]-0.00483384183470204[/C][/ROW]
[ROW][C]111[/C][C]4.66[/C][C]4.69244331279933[/C][C]-0.0324433127993347[/C][/ROW]
[ROW][C]112[/C][C]4.73[/C][C]4.70428039116646[/C][C]0.0257196088335361[/C][/ROW]
[ROW][C]113[/C][C]4.73[/C][C]4.72910342503791[/C][C]0.000896574962086838[/C][/ROW]
[ROW][C]114[/C][C]4.72[/C][C]4.72911792195537[/C][C]-0.00911792195536698[/C][/ROW]
[ROW][C]115[/C][C]4.7[/C][C]4.77028018605993[/C][C]-0.0702801860599287[/C][/ROW]
[ROW][C]116[/C][C]4.74[/C][C]4.70039322066126[/C][C]0.0396067793387447[/C][/ROW]
[ROW][C]117[/C][C]4.74[/C][C]4.73822679047476[/C][C]0.00177320952523896[/C][/ROW]
[ROW][C]118[/C][C]4.74[/C][C]4.73697496952142[/C][C]0.00302503047858238[/C][/ROW]
[ROW][C]119[/C][C]4.76[/C][C]4.74085532781461[/C][C]0.0191446721853863[/C][/ROW]
[ROW][C]120[/C][C]4.88[/C][C]4.76424989735286[/C][C]0.115750102647141[/C][/ROW]
[ROW][C]121[/C][C]4.88[/C][C]4.8861611822491[/C][C]-0.00616118224910434[/C][/ROW]
[ROW][C]122[/C][C]4.88[/C][C]4.88541485510655[/C][C]-0.00541485510654738[/C][/ROW]
[ROW][C]123[/C][C]4.88[/C][C]4.94613410725646[/C][C]-0.066134107256457[/C][/ROW]
[ROW][C]124[/C][C]4.89[/C][C]4.92636734020113[/C][C]-0.0363673402011271[/C][/ROW]
[ROW][C]125[/C][C]4.97[/C][C]4.88843692867523[/C][C]0.081563071324771[/C][/ROW]
[ROW][C]126[/C][C]4.97[/C][C]4.96924739993474[/C][C]0.000752600065259124[/C][/ROW]
[ROW][C]127[/C][C]4.97[/C][C]5.02322314410244[/C][C]-0.0532231441024447[/C][/ROW]
[ROW][C]128[/C][C]4.97[/C][C]4.97090588781563[/C][C]-0.00090588781563472[/C][/ROW]
[ROW][C]129[/C][C]4.97[/C][C]4.96819521220307[/C][C]0.00180478779692539[/C][/ROW]
[ROW][C]130[/C][C]4.97[/C][C]4.9668817501677[/C][C]0.00311824983229414[/C][/ROW]
[ROW][C]131[/C][C]4.97[/C][C]4.97094955525345[/C][C]-0.000949555253451528[/C][/ROW]
[ROW][C]132[/C][C]4.97[/C][C]4.97427758840914[/C][C]-0.00427758840913928[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161030&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161030&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
133.083.032180571624210.0478194283757856
143.083.08246649036668-0.00246649036667934
153.123.12079191661507-0.000791916615074495
163.153.149108035426050.000891964573948911
173.153.148704140018470.00129585998152715
183.153.148725093063090.00127490693691046
193.153.18293944053139-0.032939440531389
203.163.149793089850890.0102069101491069
213.193.158185109053850.0318148909461526
223.23.187645228833910.0123547711660899
233.23.2003647284997-0.000364728499704814
243.23.20251123242575-0.00251123242574591
253.213.202903431918680.00709656808131864
263.213.2125410833097-0.00254108330970437
273.213.25248422247078-0.0424842224707787
283.213.23948861739089-0.0294886173908946
293.213.207912487772960.0020875122270394
303.283.207946241216580.0720537587834156
313.33.31427181590677-0.0142718159067727
323.33.299963484489053.65155109496307e-05
333.33.298174004481110.0018259955188924
343.33.297312243750460.00268775624953799
353.33.30002288844722-2.28884472170954e-05
363.33.30224177791105-0.00224177791105307
373.33.30265141378619-0.0026514137861855
383.453.302169475431440.147830524568556
393.493.49677136490936-0.00677136490936459
403.53.52358240681175-0.0235824068117516
413.543.49932540230760.0406745976923988
423.643.539728908833840.100271091166165
433.673.68025209206461-0.0102520920646101
443.673.67222354583628-0.00222354583627737
453.683.670196644227630.00980335577237179
463.683.679296249435910.000703750564091443
473.683.68228303519008-0.00228303519008399
483.683.68472351472424-0.00472351472423505
493.73.685147214931130.0148527850688702
503.833.70479683949560.1252031605044
513.873.88389801885099-0.0138980188509885
523.873.90915680429249-0.0391568042924852
533.873.87103005854955-0.00103005854955374
543.873.87101340330666-0.00101340330665911
553.873.9130340483556-0.0430340483555995
563.873.87227106006814-0.00227106006813704
573.873.87013489726787-0.00013489726786986
583.873.869086725351880.000913274648122187
593.873.87223043814726-0.00223043814725754
603.883.874799481977570.00520051802242572
613.883.88535885354171-0.00535885354171484
623.883.88475855135544-0.00475855135543934
633.883.93303408528552-0.0530340852855167
643.883.91731490317212-0.0373149031721192
653.883.879121076237480.000878923762524852
663.893.879135287748810.0108647122511947
673.893.93148272425073-0.0414827242507316
683.913.890536955891150.0194630441088517
693.953.908612844117230.0413871558827714
703.993.94795794501310.0420420549869052
713.993.99159618089583-0.00159618089583091
723.993.99425545364198-0.0042554536419841
7343.994727738879620.00527226112037615
7444.00423215335856-0.00423215335855698
7544.05400260025072-0.0540026002507217
7644.03780168903112-0.037801689031121
7743.998437405836490.00156259416350935
7843.998462671764670.00153732823532815
7944.04190901541045-0.0419090154104484
8043.999817135695110.000182864304889563
814.063.997650320731560.0623496792684435
824.074.057176464058450.0128235359415481
834.074.0706068244638-0.000606824463798006
844.074.07333476158405-0.00333476158404533
854.074.07383149420065-0.0038314942006501
864.074.07322867278492-0.00322867278491668
874.34.123873070372980.176126929627021
884.444.34191298034740.0980870196525983
894.524.4409483882420.079051611757996
904.524.52171825116025-0.00171825116025204
914.524.57079369999249-0.0507936999924867
924.534.523175856936190.00682414306380963
934.534.53076976889402-0.000769768894016032
944.534.529532742440670.000467257559325418
954.534.53320314825944-0.0032031482594439
964.534.53620142408918-0.00620142408918056
974.534.53671722978527-0.0067172297852709
984.534.53600944424753-0.00600944424752736
994.534.59237112466514-0.0623711246651402
1004.614.574015589605190.035984410394807
1014.634.610200417028390.0197995829716069
1024.634.63039347584545-0.000393475845447355
1034.634.68067072117882-0.0506707211788235
1044.634.63191540081129-0.00191540081128938
1054.634.629372756677520.00062724332248365
1064.634.628131755608790.00186824439121125
1074.634.63190501075581-0.00190501075581295
1084.634.63499004019986-0.00499004019986504
1094.634.63553730615135-0.00553730615135173
1104.634.6348338418347-0.00483384183470204
1114.664.69244331279933-0.0324433127993347
1124.734.704280391166460.0257196088335361
1134.734.729103425037910.000896574962086838
1144.724.72911792195537-0.00911792195536698
1154.74.77028018605993-0.0702801860599287
1164.744.700393220661260.0396067793387447
1174.744.738226790474760.00177320952523896
1184.744.736974969521420.00302503047858238
1194.764.740855327814610.0191446721853863
1204.884.764249897352860.115750102647141
1214.884.8861611822491-0.00616118224910434
1224.884.88541485510655-0.00541485510654738
1234.884.94613410725646-0.066134107256457
1244.894.92636734020113-0.0363673402011271
1254.974.888436928675230.081563071324771
1264.974.969247399934740.000752600065259124
1274.975.02322314410244-0.0532231441024447
1284.974.97090588781563-0.00090588781563472
1294.974.968195212203070.00180478779692539
1304.974.96688175016770.00311824983229414
1314.974.97094955525345-0.000949555253451528
1324.974.97427758840914-0.00427758840913928







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1334.974881105377694.898582192233075.0511800185223
1344.979076729356484.870578808899715.08757464981325
1355.04527475928344.910541453706465.18000806486034
1365.092613284258984.935488124002495.24973844451547
1375.090770568153554.914748758355645.26679237795146
1385.088939561125844.895560844787215.28231827746447
1395.142363639523694.930808096025435.35391918302195
1405.142784330839054.915943678690845.36962498298726
1415.140412826908794.899114677845475.38171097597211
1425.13666804588974.881565473056715.39177061872269
1435.137100120423474.868493126527885.40570711431906
1445.14098483490256-0.15782991615275110.4397995859579

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 4.97488110537769 & 4.89858219223307 & 5.0511800185223 \tabularnewline
134 & 4.97907672935648 & 4.87057880889971 & 5.08757464981325 \tabularnewline
135 & 5.0452747592834 & 4.91054145370646 & 5.18000806486034 \tabularnewline
136 & 5.09261328425898 & 4.93548812400249 & 5.24973844451547 \tabularnewline
137 & 5.09077056815355 & 4.91474875835564 & 5.26679237795146 \tabularnewline
138 & 5.08893956112584 & 4.89556084478721 & 5.28231827746447 \tabularnewline
139 & 5.14236363952369 & 4.93080809602543 & 5.35391918302195 \tabularnewline
140 & 5.14278433083905 & 4.91594367869084 & 5.36962498298726 \tabularnewline
141 & 5.14041282690879 & 4.89911467784547 & 5.38171097597211 \tabularnewline
142 & 5.1366680458897 & 4.88156547305671 & 5.39177061872269 \tabularnewline
143 & 5.13710012042347 & 4.86849312652788 & 5.40570711431906 \tabularnewline
144 & 5.14098483490256 & -0.157829916152751 & 10.4397995859579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=161030&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]4.97488110537769[/C][C]4.89858219223307[/C][C]5.0511800185223[/C][/ROW]
[ROW][C]134[/C][C]4.97907672935648[/C][C]4.87057880889971[/C][C]5.08757464981325[/C][/ROW]
[ROW][C]135[/C][C]5.0452747592834[/C][C]4.91054145370646[/C][C]5.18000806486034[/C][/ROW]
[ROW][C]136[/C][C]5.09261328425898[/C][C]4.93548812400249[/C][C]5.24973844451547[/C][/ROW]
[ROW][C]137[/C][C]5.09077056815355[/C][C]4.91474875835564[/C][C]5.26679237795146[/C][/ROW]
[ROW][C]138[/C][C]5.08893956112584[/C][C]4.89556084478721[/C][C]5.28231827746447[/C][/ROW]
[ROW][C]139[/C][C]5.14236363952369[/C][C]4.93080809602543[/C][C]5.35391918302195[/C][/ROW]
[ROW][C]140[/C][C]5.14278433083905[/C][C]4.91594367869084[/C][C]5.36962498298726[/C][/ROW]
[ROW][C]141[/C][C]5.14041282690879[/C][C]4.89911467784547[/C][C]5.38171097597211[/C][/ROW]
[ROW][C]142[/C][C]5.1366680458897[/C][C]4.88156547305671[/C][C]5.39177061872269[/C][/ROW]
[ROW][C]143[/C][C]5.13710012042347[/C][C]4.86849312652788[/C][C]5.40570711431906[/C][/ROW]
[ROW][C]144[/C][C]5.14098483490256[/C][C]-0.157829916152751[/C][C]10.4397995859579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=161030&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=161030&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
1334.974881105377694.898582192233075.0511800185223
1344.979076729356484.870578808899715.08757464981325
1355.04527475928344.910541453706465.18000806486034
1365.092613284258984.935488124002495.24973844451547
1375.090770568153554.914748758355645.26679237795146
1385.088939561125844.895560844787215.28231827746447
1395.142363639523694.930808096025435.35391918302195
1405.142784330839054.915943678690845.36962498298726
1415.140412826908794.899114677845475.38171097597211
1425.13666804588974.881565473056715.39177061872269
1435.137100120423474.868493126527885.40570711431906
1445.14098483490256-0.15782991615275110.4397995859579



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')