Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 15 May 2016 10:58:07 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/May/15/t14633064645zafozez94w8ovw.htm/, Retrieved Mon, 06 May 2024 12:37:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295370, Retrieved Mon, 06 May 2024 12:37:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2016-05-15 09:58:07] [70e23d918d09c907c02097a361cd6415] [Current]
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Dataseries X:
81.83
82.58
82.6
82.71
82.98
83.11
83.22
83.32
83.39
83.45
83.52
83.59
83.97
84.48
84.8
84.93
85.14
85.22
85.54
85.5
85.61
85.75
85.89
85.94
86.08
86.3
86.97
87.3
87.62
87.59
87.78
87.87
88.17
88.67
88.84
88.9
88.98
89.27
89.69
89.72
89.79
89.82
89.98
90.09
90.31
90.3
90.48
90.52
90.53
91.38
91.87
91.9
92.08
92.14
92.09
92.32
92.67
92.78
92.96
93.12
93.32
94.12
94.34
94.52
94.81
94.95
94.99
95.03
95.16
95.41
95.46
95.62
95.66
95.96
96.18
96.24
97.03
97.11
97.28
97.74
97.83
98.14
98.18
98.21
98.43
98.67
99.51
99.64
99.83
99.84
99.94
100.17
100.56
101.05
101.17
101.21
101.01
101.92
102.33
102.41
102.5
102.69
102.98
103.11
103.36
103.8
104.07
104.15
104.19
104.64
104.98
105.25
105.43
105.59
105.84
105.87
106
106.14
106.24
106.31




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295370&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295370&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295370&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.226903627980521
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.226903627980521 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295370&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]0.226903627980521[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295370&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295370&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
beta0.226903627980521
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
382.683.33-0.730000000000004
482.7183.1843603515742-0.474360351574219
582.9883.1867262668319-0.206726266831907
683.1183.4098193268889-0.299819326888894
783.2283.4717892338791-0.251789233879123
883.3283.5246573432255-0.20465734322552
983.3983.5782198495548-0.188219849554784
1083.4583.6055120828329-0.155512082832857
1183.5283.6302258270433-0.11022582704328
1283.5983.67521518699-0.0852151869899984
1383.9783.72587955190290.244120448097064
1484.4884.16127136724040.318728632759615
1584.884.74359205035480.0564079496451768
1684.9385.0763912187763-0.146391218776245
1785.1485.1731745201314-0.0331745201314391
1885.2285.3756471011571-0.155647101157101
1985.5485.42033020921990.119669790780108
2085.585.7674837189076-0.267483718907584
2185.6185.6667906926617-0.0567906926617212
2285.7585.7639046784612-0.0139046784612447
2385.8985.9007496564725-0.010749656472484
2485.9486.0383105204193-0.0983105204193464
2586.0886.06600350666750.0139964933324705
2686.386.20917936178370.0908206382163144
2786.9786.44978689409050.520213105909534
2887.387.23782513514430.062174864855649
2987.6287.58193283754930.0380671624507016
3087.5987.9105704148163-0.320570414816288
3187.7887.8078318246713-0.027831824671253
3287.8787.99151668268-0.121516682680024
3388.1788.05394410651980.116055893480222
3488.6788.3802776097990.28972239020105
3588.8488.9460166712428-0.106016671242756
3688.989.0919611039114-0.191961103911353
3788.9889.1084044330027-0.128404433002729
3889.2789.15926900130560.110730998694365
3989.6989.47439426663930.215605733360718
4089.7289.9433159897522-0.223315989752237
4189.7989.9226447814914-0.132644781491379
4289.8289.9625471993383-0.142547199338324
4389.9889.960202722650.0197972773500226
4490.0990.1246947967048-0.0346947967048408
4590.3190.22682242146050.0831775785395337
4690.390.4656957157977-0.165695715797725
4790.4890.41809875674240.0619012432576227
4890.5290.6121443734141-0.0921443734140581
4990.5390.6312364807884-0.101236480788401
5091.3890.61826555601350.761734443986455
5191.8791.64110586491180.228894135088225
5291.992.1830427745868-0.283042774586775
5392.0892.1488193421594-0.0688193421593724
5492.1492.3132039837482-0.173203983748166
5592.0992.333903371455-0.243903371455019
5692.3292.22856081159520.0914391884047916
5792.6792.47930869518380.19069130481617
5892.7892.872577244071-0.0925772440709665
5992.9692.9615711315228-0.00157113152283728
6093.1293.1412146360802-0.021214636080245
6193.3293.29640095818740.0235990418126164
6294.1293.50175566639150.618244333608502
6394.3494.4420375486657-0.102037548665677
6494.5294.6388848586832-0.118884858683202
6594.8194.7919094529360.0180905470639772
6694.9595.086014263697-0.136014263696993
6794.9995.1951521338071-0.205152133807061
6895.0395.1886023703583-0.158602370358281
6995.1695.1926149171177-0.0326149171176837
7095.4195.31521447409740.0947855259026085
7195.4695.5867216538047-0.126721653804736
7295.6295.60796805081270.0120319491872607
7395.6695.770698143735-0.110698143735021
7495.9695.78558033331080.174419666689161
7596.1896.12515678847370.0548432115262614
7696.2496.3576009121392-0.117600912139181
7797.0396.3909168385210.639083161479036
7897.1197.3259271264418-0.215927126441827
7997.2897.3569324780728-0.0769324780727629
8097.7497.50947621968850.230523780311472
8197.8398.021782901777-0.191782901776975
8298.1498.06826666557910.0717333344208555
8398.1898.3945432194064-0.21454321940638
8498.2198.3858625845645-0.17586258456447
8598.4398.37595872610070.0540412738992728
8698.6798.60822088720920.0617791127908163
8799.5198.86223879203480.647761207965175
8899.6499.8492181601872-0.209218160187177
8999.8399.9317458006013-0.101745800601293
9099.84100.098659309313-0.258659309313074
9199.94100.049968573619-0.109968573619014
92100.17100.1250163053010.044983694698999
93100.56100.3652232688280.194776731171828
94101.05100.7994188157770.250581184222739
95101.17101.346276595581-0.176276595581044
96101.21101.426278796516-0.216278796515667
97101.01101.417204352931-0.407204352930975
98101.92101.1248082079210.795191792078512
99102.33102.2152401104840.114759889515568
100102.41102.651279545762-0.241279545762168
101102.5102.676532341471-0.17653234147123
102102.69102.726476512736-0.0364765127355184
103102.98102.908199859660.0718001403402582
104103.11103.214491571992-0.104491571992469
105103.36103.3207820552140.0392179447860173
106103.8103.5796807491680.220319250832119
107104.07104.0696719864960.000328013504358182
108104.15104.33974641395-0.189746413949791
109104.19104.376692264228-0.186692264228313
110104.64104.3743311121590.265668887841002
111104.98104.8846123466520.0953876533483253
112105.25105.2462561512610.00374384873903466
113105.43105.517105644122-0.0871056441224454
114105.59105.677341057454-0.0873410574535001
115105.84105.8175230546460.0224769453543558
116105.87106.072623155092-0.202623155092468
117106106.056647226089-0.056647226089126
118106.14106.173793764974-0.0337937649744617
119106.24106.306125837099-0.0661258370986388
120106.31106.391121644758-0.081121644757701

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 82.6 & 83.33 & -0.730000000000004 \tabularnewline
4 & 82.71 & 83.1843603515742 & -0.474360351574219 \tabularnewline
5 & 82.98 & 83.1867262668319 & -0.206726266831907 \tabularnewline
6 & 83.11 & 83.4098193268889 & -0.299819326888894 \tabularnewline
7 & 83.22 & 83.4717892338791 & -0.251789233879123 \tabularnewline
8 & 83.32 & 83.5246573432255 & -0.20465734322552 \tabularnewline
9 & 83.39 & 83.5782198495548 & -0.188219849554784 \tabularnewline
10 & 83.45 & 83.6055120828329 & -0.155512082832857 \tabularnewline
11 & 83.52 & 83.6302258270433 & -0.11022582704328 \tabularnewline
12 & 83.59 & 83.67521518699 & -0.0852151869899984 \tabularnewline
13 & 83.97 & 83.7258795519029 & 0.244120448097064 \tabularnewline
14 & 84.48 & 84.1612713672404 & 0.318728632759615 \tabularnewline
15 & 84.8 & 84.7435920503548 & 0.0564079496451768 \tabularnewline
16 & 84.93 & 85.0763912187763 & -0.146391218776245 \tabularnewline
17 & 85.14 & 85.1731745201314 & -0.0331745201314391 \tabularnewline
18 & 85.22 & 85.3756471011571 & -0.155647101157101 \tabularnewline
19 & 85.54 & 85.4203302092199 & 0.119669790780108 \tabularnewline
20 & 85.5 & 85.7674837189076 & -0.267483718907584 \tabularnewline
21 & 85.61 & 85.6667906926617 & -0.0567906926617212 \tabularnewline
22 & 85.75 & 85.7639046784612 & -0.0139046784612447 \tabularnewline
23 & 85.89 & 85.9007496564725 & -0.010749656472484 \tabularnewline
24 & 85.94 & 86.0383105204193 & -0.0983105204193464 \tabularnewline
25 & 86.08 & 86.0660035066675 & 0.0139964933324705 \tabularnewline
26 & 86.3 & 86.2091793617837 & 0.0908206382163144 \tabularnewline
27 & 86.97 & 86.4497868940905 & 0.520213105909534 \tabularnewline
28 & 87.3 & 87.2378251351443 & 0.062174864855649 \tabularnewline
29 & 87.62 & 87.5819328375493 & 0.0380671624507016 \tabularnewline
30 & 87.59 & 87.9105704148163 & -0.320570414816288 \tabularnewline
31 & 87.78 & 87.8078318246713 & -0.027831824671253 \tabularnewline
32 & 87.87 & 87.99151668268 & -0.121516682680024 \tabularnewline
33 & 88.17 & 88.0539441065198 & 0.116055893480222 \tabularnewline
34 & 88.67 & 88.380277609799 & 0.28972239020105 \tabularnewline
35 & 88.84 & 88.9460166712428 & -0.106016671242756 \tabularnewline
36 & 88.9 & 89.0919611039114 & -0.191961103911353 \tabularnewline
37 & 88.98 & 89.1084044330027 & -0.128404433002729 \tabularnewline
38 & 89.27 & 89.1592690013056 & 0.110730998694365 \tabularnewline
39 & 89.69 & 89.4743942666393 & 0.215605733360718 \tabularnewline
40 & 89.72 & 89.9433159897522 & -0.223315989752237 \tabularnewline
41 & 89.79 & 89.9226447814914 & -0.132644781491379 \tabularnewline
42 & 89.82 & 89.9625471993383 & -0.142547199338324 \tabularnewline
43 & 89.98 & 89.96020272265 & 0.0197972773500226 \tabularnewline
44 & 90.09 & 90.1246947967048 & -0.0346947967048408 \tabularnewline
45 & 90.31 & 90.2268224214605 & 0.0831775785395337 \tabularnewline
46 & 90.3 & 90.4656957157977 & -0.165695715797725 \tabularnewline
47 & 90.48 & 90.4180987567424 & 0.0619012432576227 \tabularnewline
48 & 90.52 & 90.6121443734141 & -0.0921443734140581 \tabularnewline
49 & 90.53 & 90.6312364807884 & -0.101236480788401 \tabularnewline
50 & 91.38 & 90.6182655560135 & 0.761734443986455 \tabularnewline
51 & 91.87 & 91.6411058649118 & 0.228894135088225 \tabularnewline
52 & 91.9 & 92.1830427745868 & -0.283042774586775 \tabularnewline
53 & 92.08 & 92.1488193421594 & -0.0688193421593724 \tabularnewline
54 & 92.14 & 92.3132039837482 & -0.173203983748166 \tabularnewline
55 & 92.09 & 92.333903371455 & -0.243903371455019 \tabularnewline
56 & 92.32 & 92.2285608115952 & 0.0914391884047916 \tabularnewline
57 & 92.67 & 92.4793086951838 & 0.19069130481617 \tabularnewline
58 & 92.78 & 92.872577244071 & -0.0925772440709665 \tabularnewline
59 & 92.96 & 92.9615711315228 & -0.00157113152283728 \tabularnewline
60 & 93.12 & 93.1412146360802 & -0.021214636080245 \tabularnewline
61 & 93.32 & 93.2964009581874 & 0.0235990418126164 \tabularnewline
62 & 94.12 & 93.5017556663915 & 0.618244333608502 \tabularnewline
63 & 94.34 & 94.4420375486657 & -0.102037548665677 \tabularnewline
64 & 94.52 & 94.6388848586832 & -0.118884858683202 \tabularnewline
65 & 94.81 & 94.791909452936 & 0.0180905470639772 \tabularnewline
66 & 94.95 & 95.086014263697 & -0.136014263696993 \tabularnewline
67 & 94.99 & 95.1951521338071 & -0.205152133807061 \tabularnewline
68 & 95.03 & 95.1886023703583 & -0.158602370358281 \tabularnewline
69 & 95.16 & 95.1926149171177 & -0.0326149171176837 \tabularnewline
70 & 95.41 & 95.3152144740974 & 0.0947855259026085 \tabularnewline
71 & 95.46 & 95.5867216538047 & -0.126721653804736 \tabularnewline
72 & 95.62 & 95.6079680508127 & 0.0120319491872607 \tabularnewline
73 & 95.66 & 95.770698143735 & -0.110698143735021 \tabularnewline
74 & 95.96 & 95.7855803333108 & 0.174419666689161 \tabularnewline
75 & 96.18 & 96.1251567884737 & 0.0548432115262614 \tabularnewline
76 & 96.24 & 96.3576009121392 & -0.117600912139181 \tabularnewline
77 & 97.03 & 96.390916838521 & 0.639083161479036 \tabularnewline
78 & 97.11 & 97.3259271264418 & -0.215927126441827 \tabularnewline
79 & 97.28 & 97.3569324780728 & -0.0769324780727629 \tabularnewline
80 & 97.74 & 97.5094762196885 & 0.230523780311472 \tabularnewline
81 & 97.83 & 98.021782901777 & -0.191782901776975 \tabularnewline
82 & 98.14 & 98.0682666655791 & 0.0717333344208555 \tabularnewline
83 & 98.18 & 98.3945432194064 & -0.21454321940638 \tabularnewline
84 & 98.21 & 98.3858625845645 & -0.17586258456447 \tabularnewline
85 & 98.43 & 98.3759587261007 & 0.0540412738992728 \tabularnewline
86 & 98.67 & 98.6082208872092 & 0.0617791127908163 \tabularnewline
87 & 99.51 & 98.8622387920348 & 0.647761207965175 \tabularnewline
88 & 99.64 & 99.8492181601872 & -0.209218160187177 \tabularnewline
89 & 99.83 & 99.9317458006013 & -0.101745800601293 \tabularnewline
90 & 99.84 & 100.098659309313 & -0.258659309313074 \tabularnewline
91 & 99.94 & 100.049968573619 & -0.109968573619014 \tabularnewline
92 & 100.17 & 100.125016305301 & 0.044983694698999 \tabularnewline
93 & 100.56 & 100.365223268828 & 0.194776731171828 \tabularnewline
94 & 101.05 & 100.799418815777 & 0.250581184222739 \tabularnewline
95 & 101.17 & 101.346276595581 & -0.176276595581044 \tabularnewline
96 & 101.21 & 101.426278796516 & -0.216278796515667 \tabularnewline
97 & 101.01 & 101.417204352931 & -0.407204352930975 \tabularnewline
98 & 101.92 & 101.124808207921 & 0.795191792078512 \tabularnewline
99 & 102.33 & 102.215240110484 & 0.114759889515568 \tabularnewline
100 & 102.41 & 102.651279545762 & -0.241279545762168 \tabularnewline
101 & 102.5 & 102.676532341471 & -0.17653234147123 \tabularnewline
102 & 102.69 & 102.726476512736 & -0.0364765127355184 \tabularnewline
103 & 102.98 & 102.90819985966 & 0.0718001403402582 \tabularnewline
104 & 103.11 & 103.214491571992 & -0.104491571992469 \tabularnewline
105 & 103.36 & 103.320782055214 & 0.0392179447860173 \tabularnewline
106 & 103.8 & 103.579680749168 & 0.220319250832119 \tabularnewline
107 & 104.07 & 104.069671986496 & 0.000328013504358182 \tabularnewline
108 & 104.15 & 104.33974641395 & -0.189746413949791 \tabularnewline
109 & 104.19 & 104.376692264228 & -0.186692264228313 \tabularnewline
110 & 104.64 & 104.374331112159 & 0.265668887841002 \tabularnewline
111 & 104.98 & 104.884612346652 & 0.0953876533483253 \tabularnewline
112 & 105.25 & 105.246256151261 & 0.00374384873903466 \tabularnewline
113 & 105.43 & 105.517105644122 & -0.0871056441224454 \tabularnewline
114 & 105.59 & 105.677341057454 & -0.0873410574535001 \tabularnewline
115 & 105.84 & 105.817523054646 & 0.0224769453543558 \tabularnewline
116 & 105.87 & 106.072623155092 & -0.202623155092468 \tabularnewline
117 & 106 & 106.056647226089 & -0.056647226089126 \tabularnewline
118 & 106.14 & 106.173793764974 & -0.0337937649744617 \tabularnewline
119 & 106.24 & 106.306125837099 & -0.0661258370986388 \tabularnewline
120 & 106.31 & 106.391121644758 & -0.081121644757701 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295370&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]82.6[/C][C]83.33[/C][C]-0.730000000000004[/C][/ROW]
[ROW][C]4[/C][C]82.71[/C][C]83.1843603515742[/C][C]-0.474360351574219[/C][/ROW]
[ROW][C]5[/C][C]82.98[/C][C]83.1867262668319[/C][C]-0.206726266831907[/C][/ROW]
[ROW][C]6[/C][C]83.11[/C][C]83.4098193268889[/C][C]-0.299819326888894[/C][/ROW]
[ROW][C]7[/C][C]83.22[/C][C]83.4717892338791[/C][C]-0.251789233879123[/C][/ROW]
[ROW][C]8[/C][C]83.32[/C][C]83.5246573432255[/C][C]-0.20465734322552[/C][/ROW]
[ROW][C]9[/C][C]83.39[/C][C]83.5782198495548[/C][C]-0.188219849554784[/C][/ROW]
[ROW][C]10[/C][C]83.45[/C][C]83.6055120828329[/C][C]-0.155512082832857[/C][/ROW]
[ROW][C]11[/C][C]83.52[/C][C]83.6302258270433[/C][C]-0.11022582704328[/C][/ROW]
[ROW][C]12[/C][C]83.59[/C][C]83.67521518699[/C][C]-0.0852151869899984[/C][/ROW]
[ROW][C]13[/C][C]83.97[/C][C]83.7258795519029[/C][C]0.244120448097064[/C][/ROW]
[ROW][C]14[/C][C]84.48[/C][C]84.1612713672404[/C][C]0.318728632759615[/C][/ROW]
[ROW][C]15[/C][C]84.8[/C][C]84.7435920503548[/C][C]0.0564079496451768[/C][/ROW]
[ROW][C]16[/C][C]84.93[/C][C]85.0763912187763[/C][C]-0.146391218776245[/C][/ROW]
[ROW][C]17[/C][C]85.14[/C][C]85.1731745201314[/C][C]-0.0331745201314391[/C][/ROW]
[ROW][C]18[/C][C]85.22[/C][C]85.3756471011571[/C][C]-0.155647101157101[/C][/ROW]
[ROW][C]19[/C][C]85.54[/C][C]85.4203302092199[/C][C]0.119669790780108[/C][/ROW]
[ROW][C]20[/C][C]85.5[/C][C]85.7674837189076[/C][C]-0.267483718907584[/C][/ROW]
[ROW][C]21[/C][C]85.61[/C][C]85.6667906926617[/C][C]-0.0567906926617212[/C][/ROW]
[ROW][C]22[/C][C]85.75[/C][C]85.7639046784612[/C][C]-0.0139046784612447[/C][/ROW]
[ROW][C]23[/C][C]85.89[/C][C]85.9007496564725[/C][C]-0.010749656472484[/C][/ROW]
[ROW][C]24[/C][C]85.94[/C][C]86.0383105204193[/C][C]-0.0983105204193464[/C][/ROW]
[ROW][C]25[/C][C]86.08[/C][C]86.0660035066675[/C][C]0.0139964933324705[/C][/ROW]
[ROW][C]26[/C][C]86.3[/C][C]86.2091793617837[/C][C]0.0908206382163144[/C][/ROW]
[ROW][C]27[/C][C]86.97[/C][C]86.4497868940905[/C][C]0.520213105909534[/C][/ROW]
[ROW][C]28[/C][C]87.3[/C][C]87.2378251351443[/C][C]0.062174864855649[/C][/ROW]
[ROW][C]29[/C][C]87.62[/C][C]87.5819328375493[/C][C]0.0380671624507016[/C][/ROW]
[ROW][C]30[/C][C]87.59[/C][C]87.9105704148163[/C][C]-0.320570414816288[/C][/ROW]
[ROW][C]31[/C][C]87.78[/C][C]87.8078318246713[/C][C]-0.027831824671253[/C][/ROW]
[ROW][C]32[/C][C]87.87[/C][C]87.99151668268[/C][C]-0.121516682680024[/C][/ROW]
[ROW][C]33[/C][C]88.17[/C][C]88.0539441065198[/C][C]0.116055893480222[/C][/ROW]
[ROW][C]34[/C][C]88.67[/C][C]88.380277609799[/C][C]0.28972239020105[/C][/ROW]
[ROW][C]35[/C][C]88.84[/C][C]88.9460166712428[/C][C]-0.106016671242756[/C][/ROW]
[ROW][C]36[/C][C]88.9[/C][C]89.0919611039114[/C][C]-0.191961103911353[/C][/ROW]
[ROW][C]37[/C][C]88.98[/C][C]89.1084044330027[/C][C]-0.128404433002729[/C][/ROW]
[ROW][C]38[/C][C]89.27[/C][C]89.1592690013056[/C][C]0.110730998694365[/C][/ROW]
[ROW][C]39[/C][C]89.69[/C][C]89.4743942666393[/C][C]0.215605733360718[/C][/ROW]
[ROW][C]40[/C][C]89.72[/C][C]89.9433159897522[/C][C]-0.223315989752237[/C][/ROW]
[ROW][C]41[/C][C]89.79[/C][C]89.9226447814914[/C][C]-0.132644781491379[/C][/ROW]
[ROW][C]42[/C][C]89.82[/C][C]89.9625471993383[/C][C]-0.142547199338324[/C][/ROW]
[ROW][C]43[/C][C]89.98[/C][C]89.96020272265[/C][C]0.0197972773500226[/C][/ROW]
[ROW][C]44[/C][C]90.09[/C][C]90.1246947967048[/C][C]-0.0346947967048408[/C][/ROW]
[ROW][C]45[/C][C]90.31[/C][C]90.2268224214605[/C][C]0.0831775785395337[/C][/ROW]
[ROW][C]46[/C][C]90.3[/C][C]90.4656957157977[/C][C]-0.165695715797725[/C][/ROW]
[ROW][C]47[/C][C]90.48[/C][C]90.4180987567424[/C][C]0.0619012432576227[/C][/ROW]
[ROW][C]48[/C][C]90.52[/C][C]90.6121443734141[/C][C]-0.0921443734140581[/C][/ROW]
[ROW][C]49[/C][C]90.53[/C][C]90.6312364807884[/C][C]-0.101236480788401[/C][/ROW]
[ROW][C]50[/C][C]91.38[/C][C]90.6182655560135[/C][C]0.761734443986455[/C][/ROW]
[ROW][C]51[/C][C]91.87[/C][C]91.6411058649118[/C][C]0.228894135088225[/C][/ROW]
[ROW][C]52[/C][C]91.9[/C][C]92.1830427745868[/C][C]-0.283042774586775[/C][/ROW]
[ROW][C]53[/C][C]92.08[/C][C]92.1488193421594[/C][C]-0.0688193421593724[/C][/ROW]
[ROW][C]54[/C][C]92.14[/C][C]92.3132039837482[/C][C]-0.173203983748166[/C][/ROW]
[ROW][C]55[/C][C]92.09[/C][C]92.333903371455[/C][C]-0.243903371455019[/C][/ROW]
[ROW][C]56[/C][C]92.32[/C][C]92.2285608115952[/C][C]0.0914391884047916[/C][/ROW]
[ROW][C]57[/C][C]92.67[/C][C]92.4793086951838[/C][C]0.19069130481617[/C][/ROW]
[ROW][C]58[/C][C]92.78[/C][C]92.872577244071[/C][C]-0.0925772440709665[/C][/ROW]
[ROW][C]59[/C][C]92.96[/C][C]92.9615711315228[/C][C]-0.00157113152283728[/C][/ROW]
[ROW][C]60[/C][C]93.12[/C][C]93.1412146360802[/C][C]-0.021214636080245[/C][/ROW]
[ROW][C]61[/C][C]93.32[/C][C]93.2964009581874[/C][C]0.0235990418126164[/C][/ROW]
[ROW][C]62[/C][C]94.12[/C][C]93.5017556663915[/C][C]0.618244333608502[/C][/ROW]
[ROW][C]63[/C][C]94.34[/C][C]94.4420375486657[/C][C]-0.102037548665677[/C][/ROW]
[ROW][C]64[/C][C]94.52[/C][C]94.6388848586832[/C][C]-0.118884858683202[/C][/ROW]
[ROW][C]65[/C][C]94.81[/C][C]94.791909452936[/C][C]0.0180905470639772[/C][/ROW]
[ROW][C]66[/C][C]94.95[/C][C]95.086014263697[/C][C]-0.136014263696993[/C][/ROW]
[ROW][C]67[/C][C]94.99[/C][C]95.1951521338071[/C][C]-0.205152133807061[/C][/ROW]
[ROW][C]68[/C][C]95.03[/C][C]95.1886023703583[/C][C]-0.158602370358281[/C][/ROW]
[ROW][C]69[/C][C]95.16[/C][C]95.1926149171177[/C][C]-0.0326149171176837[/C][/ROW]
[ROW][C]70[/C][C]95.41[/C][C]95.3152144740974[/C][C]0.0947855259026085[/C][/ROW]
[ROW][C]71[/C][C]95.46[/C][C]95.5867216538047[/C][C]-0.126721653804736[/C][/ROW]
[ROW][C]72[/C][C]95.62[/C][C]95.6079680508127[/C][C]0.0120319491872607[/C][/ROW]
[ROW][C]73[/C][C]95.66[/C][C]95.770698143735[/C][C]-0.110698143735021[/C][/ROW]
[ROW][C]74[/C][C]95.96[/C][C]95.7855803333108[/C][C]0.174419666689161[/C][/ROW]
[ROW][C]75[/C][C]96.18[/C][C]96.1251567884737[/C][C]0.0548432115262614[/C][/ROW]
[ROW][C]76[/C][C]96.24[/C][C]96.3576009121392[/C][C]-0.117600912139181[/C][/ROW]
[ROW][C]77[/C][C]97.03[/C][C]96.390916838521[/C][C]0.639083161479036[/C][/ROW]
[ROW][C]78[/C][C]97.11[/C][C]97.3259271264418[/C][C]-0.215927126441827[/C][/ROW]
[ROW][C]79[/C][C]97.28[/C][C]97.3569324780728[/C][C]-0.0769324780727629[/C][/ROW]
[ROW][C]80[/C][C]97.74[/C][C]97.5094762196885[/C][C]0.230523780311472[/C][/ROW]
[ROW][C]81[/C][C]97.83[/C][C]98.021782901777[/C][C]-0.191782901776975[/C][/ROW]
[ROW][C]82[/C][C]98.14[/C][C]98.0682666655791[/C][C]0.0717333344208555[/C][/ROW]
[ROW][C]83[/C][C]98.18[/C][C]98.3945432194064[/C][C]-0.21454321940638[/C][/ROW]
[ROW][C]84[/C][C]98.21[/C][C]98.3858625845645[/C][C]-0.17586258456447[/C][/ROW]
[ROW][C]85[/C][C]98.43[/C][C]98.3759587261007[/C][C]0.0540412738992728[/C][/ROW]
[ROW][C]86[/C][C]98.67[/C][C]98.6082208872092[/C][C]0.0617791127908163[/C][/ROW]
[ROW][C]87[/C][C]99.51[/C][C]98.8622387920348[/C][C]0.647761207965175[/C][/ROW]
[ROW][C]88[/C][C]99.64[/C][C]99.8492181601872[/C][C]-0.209218160187177[/C][/ROW]
[ROW][C]89[/C][C]99.83[/C][C]99.9317458006013[/C][C]-0.101745800601293[/C][/ROW]
[ROW][C]90[/C][C]99.84[/C][C]100.098659309313[/C][C]-0.258659309313074[/C][/ROW]
[ROW][C]91[/C][C]99.94[/C][C]100.049968573619[/C][C]-0.109968573619014[/C][/ROW]
[ROW][C]92[/C][C]100.17[/C][C]100.125016305301[/C][C]0.044983694698999[/C][/ROW]
[ROW][C]93[/C][C]100.56[/C][C]100.365223268828[/C][C]0.194776731171828[/C][/ROW]
[ROW][C]94[/C][C]101.05[/C][C]100.799418815777[/C][C]0.250581184222739[/C][/ROW]
[ROW][C]95[/C][C]101.17[/C][C]101.346276595581[/C][C]-0.176276595581044[/C][/ROW]
[ROW][C]96[/C][C]101.21[/C][C]101.426278796516[/C][C]-0.216278796515667[/C][/ROW]
[ROW][C]97[/C][C]101.01[/C][C]101.417204352931[/C][C]-0.407204352930975[/C][/ROW]
[ROW][C]98[/C][C]101.92[/C][C]101.124808207921[/C][C]0.795191792078512[/C][/ROW]
[ROW][C]99[/C][C]102.33[/C][C]102.215240110484[/C][C]0.114759889515568[/C][/ROW]
[ROW][C]100[/C][C]102.41[/C][C]102.651279545762[/C][C]-0.241279545762168[/C][/ROW]
[ROW][C]101[/C][C]102.5[/C][C]102.676532341471[/C][C]-0.17653234147123[/C][/ROW]
[ROW][C]102[/C][C]102.69[/C][C]102.726476512736[/C][C]-0.0364765127355184[/C][/ROW]
[ROW][C]103[/C][C]102.98[/C][C]102.90819985966[/C][C]0.0718001403402582[/C][/ROW]
[ROW][C]104[/C][C]103.11[/C][C]103.214491571992[/C][C]-0.104491571992469[/C][/ROW]
[ROW][C]105[/C][C]103.36[/C][C]103.320782055214[/C][C]0.0392179447860173[/C][/ROW]
[ROW][C]106[/C][C]103.8[/C][C]103.579680749168[/C][C]0.220319250832119[/C][/ROW]
[ROW][C]107[/C][C]104.07[/C][C]104.069671986496[/C][C]0.000328013504358182[/C][/ROW]
[ROW][C]108[/C][C]104.15[/C][C]104.33974641395[/C][C]-0.189746413949791[/C][/ROW]
[ROW][C]109[/C][C]104.19[/C][C]104.376692264228[/C][C]-0.186692264228313[/C][/ROW]
[ROW][C]110[/C][C]104.64[/C][C]104.374331112159[/C][C]0.265668887841002[/C][/ROW]
[ROW][C]111[/C][C]104.98[/C][C]104.884612346652[/C][C]0.0953876533483253[/C][/ROW]
[ROW][C]112[/C][C]105.25[/C][C]105.246256151261[/C][C]0.00374384873903466[/C][/ROW]
[ROW][C]113[/C][C]105.43[/C][C]105.517105644122[/C][C]-0.0871056441224454[/C][/ROW]
[ROW][C]114[/C][C]105.59[/C][C]105.677341057454[/C][C]-0.0873410574535001[/C][/ROW]
[ROW][C]115[/C][C]105.84[/C][C]105.817523054646[/C][C]0.0224769453543558[/C][/ROW]
[ROW][C]116[/C][C]105.87[/C][C]106.072623155092[/C][C]-0.202623155092468[/C][/ROW]
[ROW][C]117[/C][C]106[/C][C]106.056647226089[/C][C]-0.056647226089126[/C][/ROW]
[ROW][C]118[/C][C]106.14[/C][C]106.173793764974[/C][C]-0.0337937649744617[/C][/ROW]
[ROW][C]119[/C][C]106.24[/C][C]106.306125837099[/C][C]-0.0661258370986388[/C][/ROW]
[ROW][C]120[/C][C]106.31[/C][C]106.391121644758[/C][C]-0.081121644757701[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295370&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295370&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
382.683.33-0.730000000000004
482.7183.1843603515742-0.474360351574219
582.9883.1867262668319-0.206726266831907
683.1183.4098193268889-0.299819326888894
783.2283.4717892338791-0.251789233879123
883.3283.5246573432255-0.20465734322552
983.3983.5782198495548-0.188219849554784
1083.4583.6055120828329-0.155512082832857
1183.5283.6302258270433-0.11022582704328
1283.5983.67521518699-0.0852151869899984
1383.9783.72587955190290.244120448097064
1484.4884.16127136724040.318728632759615
1584.884.74359205035480.0564079496451768
1684.9385.0763912187763-0.146391218776245
1785.1485.1731745201314-0.0331745201314391
1885.2285.3756471011571-0.155647101157101
1985.5485.42033020921990.119669790780108
2085.585.7674837189076-0.267483718907584
2185.6185.6667906926617-0.0567906926617212
2285.7585.7639046784612-0.0139046784612447
2385.8985.9007496564725-0.010749656472484
2485.9486.0383105204193-0.0983105204193464
2586.0886.06600350666750.0139964933324705
2686.386.20917936178370.0908206382163144
2786.9786.44978689409050.520213105909534
2887.387.23782513514430.062174864855649
2987.6287.58193283754930.0380671624507016
3087.5987.9105704148163-0.320570414816288
3187.7887.8078318246713-0.027831824671253
3287.8787.99151668268-0.121516682680024
3388.1788.05394410651980.116055893480222
3488.6788.3802776097990.28972239020105
3588.8488.9460166712428-0.106016671242756
3688.989.0919611039114-0.191961103911353
3788.9889.1084044330027-0.128404433002729
3889.2789.15926900130560.110730998694365
3989.6989.47439426663930.215605733360718
4089.7289.9433159897522-0.223315989752237
4189.7989.9226447814914-0.132644781491379
4289.8289.9625471993383-0.142547199338324
4389.9889.960202722650.0197972773500226
4490.0990.1246947967048-0.0346947967048408
4590.3190.22682242146050.0831775785395337
4690.390.4656957157977-0.165695715797725
4790.4890.41809875674240.0619012432576227
4890.5290.6121443734141-0.0921443734140581
4990.5390.6312364807884-0.101236480788401
5091.3890.61826555601350.761734443986455
5191.8791.64110586491180.228894135088225
5291.992.1830427745868-0.283042774586775
5392.0892.1488193421594-0.0688193421593724
5492.1492.3132039837482-0.173203983748166
5592.0992.333903371455-0.243903371455019
5692.3292.22856081159520.0914391884047916
5792.6792.47930869518380.19069130481617
5892.7892.872577244071-0.0925772440709665
5992.9692.9615711315228-0.00157113152283728
6093.1293.1412146360802-0.021214636080245
6193.3293.29640095818740.0235990418126164
6294.1293.50175566639150.618244333608502
6394.3494.4420375486657-0.102037548665677
6494.5294.6388848586832-0.118884858683202
6594.8194.7919094529360.0180905470639772
6694.9595.086014263697-0.136014263696993
6794.9995.1951521338071-0.205152133807061
6895.0395.1886023703583-0.158602370358281
6995.1695.1926149171177-0.0326149171176837
7095.4195.31521447409740.0947855259026085
7195.4695.5867216538047-0.126721653804736
7295.6295.60796805081270.0120319491872607
7395.6695.770698143735-0.110698143735021
7495.9695.78558033331080.174419666689161
7596.1896.12515678847370.0548432115262614
7696.2496.3576009121392-0.117600912139181
7797.0396.3909168385210.639083161479036
7897.1197.3259271264418-0.215927126441827
7997.2897.3569324780728-0.0769324780727629
8097.7497.50947621968850.230523780311472
8197.8398.021782901777-0.191782901776975
8298.1498.06826666557910.0717333344208555
8398.1898.3945432194064-0.21454321940638
8498.2198.3858625845645-0.17586258456447
8598.4398.37595872610070.0540412738992728
8698.6798.60822088720920.0617791127908163
8799.5198.86223879203480.647761207965175
8899.6499.8492181601872-0.209218160187177
8999.8399.9317458006013-0.101745800601293
9099.84100.098659309313-0.258659309313074
9199.94100.049968573619-0.109968573619014
92100.17100.1250163053010.044983694698999
93100.56100.3652232688280.194776731171828
94101.05100.7994188157770.250581184222739
95101.17101.346276595581-0.176276595581044
96101.21101.426278796516-0.216278796515667
97101.01101.417204352931-0.407204352930975
98101.92101.1248082079210.795191792078512
99102.33102.2152401104840.114759889515568
100102.41102.651279545762-0.241279545762168
101102.5102.676532341471-0.17653234147123
102102.69102.726476512736-0.0364765127355184
103102.98102.908199859660.0718001403402582
104103.11103.214491571992-0.104491571992469
105103.36103.3207820552140.0392179447860173
106103.8103.5796807491680.220319250832119
107104.07104.0696719864960.000328013504358182
108104.15104.33974641395-0.189746413949791
109104.19104.376692264228-0.186692264228313
110104.64104.3743311121590.265668887841002
111104.98104.8846123466520.0953876533483253
112105.25105.2462561512610.00374384873903466
113105.43105.517105644122-0.0871056441224454
114105.59105.677341057454-0.0873410574535001
115105.84105.8175230546460.0224769453543558
116105.87106.072623155092-0.202623155092468
117106106.056647226089-0.056647226089126
118106.14106.173793764974-0.0337937649744617
119106.24106.306125837099-0.0661258370986388
120106.31106.391121644758-0.081121644757701







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121106.442714849254105.995341005967106.890088692541
122106.575429698509105.867321196706107.283538200312
123106.708144547763105.74667081023107.669618285296
124106.840859397018105.62028800929108.061430784746
125106.973574246272105.484240567068108.462907925476
126107.106289095527105.337108070775108.875470120278
127107.239003944781105.178406107383109.299601782179
128107.371718794036105.008054367891109.73538322018
129107.50443364329104.826160211003110.182707075577
130107.637148492544104.632919891477110.641377093612
131107.769863341799104.428570012634111.111156670963
132107.902578191053104.213362513677111.591793868429

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 106.442714849254 & 105.995341005967 & 106.890088692541 \tabularnewline
122 & 106.575429698509 & 105.867321196706 & 107.283538200312 \tabularnewline
123 & 106.708144547763 & 105.74667081023 & 107.669618285296 \tabularnewline
124 & 106.840859397018 & 105.62028800929 & 108.061430784746 \tabularnewline
125 & 106.973574246272 & 105.484240567068 & 108.462907925476 \tabularnewline
126 & 107.106289095527 & 105.337108070775 & 108.875470120278 \tabularnewline
127 & 107.239003944781 & 105.178406107383 & 109.299601782179 \tabularnewline
128 & 107.371718794036 & 105.008054367891 & 109.73538322018 \tabularnewline
129 & 107.50443364329 & 104.826160211003 & 110.182707075577 \tabularnewline
130 & 107.637148492544 & 104.632919891477 & 110.641377093612 \tabularnewline
131 & 107.769863341799 & 104.428570012634 & 111.111156670963 \tabularnewline
132 & 107.902578191053 & 104.213362513677 & 111.591793868429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295370&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]121[/C][C]106.442714849254[/C][C]105.995341005967[/C][C]106.890088692541[/C][/ROW]
[ROW][C]122[/C][C]106.575429698509[/C][C]105.867321196706[/C][C]107.283538200312[/C][/ROW]
[ROW][C]123[/C][C]106.708144547763[/C][C]105.74667081023[/C][C]107.669618285296[/C][/ROW]
[ROW][C]124[/C][C]106.840859397018[/C][C]105.62028800929[/C][C]108.061430784746[/C][/ROW]
[ROW][C]125[/C][C]106.973574246272[/C][C]105.484240567068[/C][C]108.462907925476[/C][/ROW]
[ROW][C]126[/C][C]107.106289095527[/C][C]105.337108070775[/C][C]108.875470120278[/C][/ROW]
[ROW][C]127[/C][C]107.239003944781[/C][C]105.178406107383[/C][C]109.299601782179[/C][/ROW]
[ROW][C]128[/C][C]107.371718794036[/C][C]105.008054367891[/C][C]109.73538322018[/C][/ROW]
[ROW][C]129[/C][C]107.50443364329[/C][C]104.826160211003[/C][C]110.182707075577[/C][/ROW]
[ROW][C]130[/C][C]107.637148492544[/C][C]104.632919891477[/C][C]110.641377093612[/C][/ROW]
[ROW][C]131[/C][C]107.769863341799[/C][C]104.428570012634[/C][C]111.111156670963[/C][/ROW]
[ROW][C]132[/C][C]107.902578191053[/C][C]104.213362513677[/C][C]111.591793868429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295370&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295370&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
121106.442714849254105.995341005967106.890088692541
122106.575429698509105.867321196706107.283538200312
123106.708144547763105.74667081023107.669618285296
124106.840859397018105.62028800929108.061430784746
125106.973574246272105.484240567068108.462907925476
126107.106289095527105.337108070775108.875470120278
127107.239003944781105.178406107383109.299601782179
128107.371718794036105.008054367891109.73538322018
129107.50443364329104.826160211003110.182707075577
130107.637148492544104.632919891477110.641377093612
131107.769863341799104.428570012634111.111156670963
132107.902578191053104.213362513677111.591793868429



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=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')