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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 11 Dec 2016 17:02:10 +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/Dec/11/t148147216840wrowbcv7ndg3q.htm/, Retrieved Thu, 02 May 2024 07:34:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298818, Retrieved Thu, 02 May 2024 07:34:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [F1 Competitie Exp...] [2016-12-11 16:02:10] [15b172d40fa89b8c3dac8ac54fed18ba] [Current]
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Dataseries X:
4861
3665
6683
6824
7811
7242
7458
7856
6477
7577
5999
4628
4144
3778
4320
4948
5132
5460
5598
5583
5917
6458
5079
4486
3763
3531
5014
5162
4880
4720
4631
4315
4268
4172
3432
2705
2359
2729
4043
4301
4576
4984
4854
4847
5038
4950
4566
3943
3328
3106
4821
4876
5691
6576
5850
6499
6244
5855
5304
4035
4167
4791
5215
5949
6459
6680
6413
6626
6642
6529
5691
4743
3535
3314
5564
6287
6738
6355
6745
7005
6575
6719
5196
4304
4967
4175
5579
7009
6997
7062
7214
6918
6874
7175
5375
4675
4422
4567
5971
6560
6415
6727
7077
6589
6800
6982
6118
4500
3195
4482
6619
6237
6520
7043
6188
6774
6118
6308
5230
4587
4976
4561
5456
5691
6163
6133




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298818&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298818&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298818&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.715436746005467
beta0.0209475235785891
gamma0.789302875590237

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.715436746005467 \tabularnewline
beta & 0.0209475235785891 \tabularnewline
gamma & 0.789302875590237 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298818&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]0.715436746005467[/C][/ROW]
[ROW][C]beta[/C][C]0.0209475235785891[/C][/ROW]
[ROW][C]gamma[/C][C]0.789302875590237[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298818&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298818&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
alpha0.715436746005467
beta0.0209475235785891
gamma0.789302875590237







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1341445077.5186965812-933.518696581198
1437784066.05167357513-288.051673575131
1543204365.89188718853-45.8918871885289
1649484876.2110124080371.78898759197
1751325042.7992346067189.2007653932887
1854605326.47296782212133.527032177881
1955985957.2354610818-359.235461081802
2055835967.61549801921-384.615498019209
2159174245.656967817361671.34303218264
2264586581.52951484607-123.529514846073
2350794966.59966310158112.400336898418
2444863725.23053215613760.769467843867
2537633602.33041605822160.66958394178
2635313545.61362588042-14.613625880419
2750144126.52164577408887.478354225916
2851625376.0776067827-214.077606782698
2948805382.81055360308-502.810553603075
3047205284.77474409548-564.774744095476
3146315326.68472929324-695.684729293242
3243155107.02978093207-792.029780932069
3342683565.64188780086702.358112199142
3441724800.87293113844-628.87293113844
3534322865.56596179729566.434038202706
3627052089.63437269715615.365627302848
3723591720.71866681994638.281333180063
3827291966.28894931216762.711050687844
3940433317.54473177249725.455268227506
4043014212.9438280333688.0561719666384
4145764384.6881629199191.311837080098
4249844793.44311073607190.556889263928
4348545381.7693887839-527.769388783899
4448475298.55152894854-451.551528948543
4550384379.45030289665658.549697103352
4649505326.72602311832-376.726023118324
4745663886.45697525282679.543024747177
4839433250.30212146925692.697878530746
4933282990.88277056286337.117229437139
5031063093.4464894921412.5535105078602
5148213932.91134361707888.088656382929
5248764837.2048631761938.7951368238073
5356915031.86425162083659.135748379165
5465765817.12545788445758.874542115551
5558506701.20082222661-851.200822226613
5664996449.3546906441949.6453093558139
5762446191.3228330384952.6771669615109
5858556516.68401867831-661.684018678315
5953045149.59867504267154.401324957334
6040354172.63084735386-137.630847353856
6141673258.79225621599908.207743784011
6247913725.088884148981065.91111585102
6352155558.65464354464-343.654643544644
6459495416.33634073137532.663659268632
6564596136.44095534277322.559044657233
6666806731.04160606398-51.0416060639845
6764136689.63853529884-276.638535298839
6866267075.40099312617-449.400993126173
6966426477.74466117673164.255338823265
7065296740.88553151515-211.885531515154
7156915904.04446029775-213.044460297748
7247434618.23704699828124.762953001724
7335354150.59624846813-615.596248468128
7433143562.86142164746-248.861421647456
7555644120.22152048611443.7784795139
7662875461.34171083618825.65828916382
7767386356.08185566312381.918144336881
7863556922.33389795092-567.333897950924
7967456466.24519164481278.754808355194
8070057224.23574196104-219.235741961037
8165756946.21162167529-371.211621675286
8267196750.88346231273-31.8834623127259
8351966054.36723689453-858.367236894534
8443044384.87981065825-80.8798106582472
8549673602.877013483751364.12298651625
8641754542.59840077024-367.598400770239
8755795422.1295849087156.870415091298
8870095711.369972703361297.63002729664
8969976858.83773064829138.162269351713
9070627048.5651670002213.4348329997792
9172147217.7961926221-3.79619262209872
9269187677.33226353076-759.33226353076
9368746986.21908579454-112.219085794543
9471757063.73109599222111.268904007785
9553756297.47504894059-922.475048940594
9646754769.26800290277-94.2680029027706
9744224314.55997617111107.440023828891
9845673959.73072753797607.26927246203
9959715662.60977898287308.390221017127
10065606326.83846314009233.161536859912
10164156446.73277755541-31.7327775554086
10267276478.7608299902248.239170009799
10370776807.49261006428269.507389935725
10465897292.34092748933-703.340927489332
10568006786.9502223329213.0497776670818
10669827006.47674089292-24.4767408929201
10761185911.07887681799206.921123182011
10845005393.99127229509-893.991272295088
10931954417.53878467154-1222.53878467154
11044823208.628872352571273.37112764743
11166195316.084184276451302.91581572355
11262376684.99347304832-447.993473048316
11365206257.91654481502262.083455184983
11470436567.2874781536475.712521846404
11561887071.20049953276-883.200499532757
11667746503.23734747679270.762652523206
11761186860.64700245987-742.647002459873
11863086524.75101337908-216.751013379081
11952305334.54445394611-104.544453946109
12045874333.46082571227253.539174287735
12149764107.50754029184868.492459708155
12245614989.84124236046-428.841242360457
12354565895.24198242395-439.241982423953
12456915607.507496488883.4925035112001
12561635711.1540136942451.845986305801
12661336198.10531949891-65.1053194989072

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 4144 & 5077.5186965812 & -933.518696581198 \tabularnewline
14 & 3778 & 4066.05167357513 & -288.051673575131 \tabularnewline
15 & 4320 & 4365.89188718853 & -45.8918871885289 \tabularnewline
16 & 4948 & 4876.21101240803 & 71.78898759197 \tabularnewline
17 & 5132 & 5042.79923460671 & 89.2007653932887 \tabularnewline
18 & 5460 & 5326.47296782212 & 133.527032177881 \tabularnewline
19 & 5598 & 5957.2354610818 & -359.235461081802 \tabularnewline
20 & 5583 & 5967.61549801921 & -384.615498019209 \tabularnewline
21 & 5917 & 4245.65696781736 & 1671.34303218264 \tabularnewline
22 & 6458 & 6581.52951484607 & -123.529514846073 \tabularnewline
23 & 5079 & 4966.59966310158 & 112.400336898418 \tabularnewline
24 & 4486 & 3725.23053215613 & 760.769467843867 \tabularnewline
25 & 3763 & 3602.33041605822 & 160.66958394178 \tabularnewline
26 & 3531 & 3545.61362588042 & -14.613625880419 \tabularnewline
27 & 5014 & 4126.52164577408 & 887.478354225916 \tabularnewline
28 & 5162 & 5376.0776067827 & -214.077606782698 \tabularnewline
29 & 4880 & 5382.81055360308 & -502.810553603075 \tabularnewline
30 & 4720 & 5284.77474409548 & -564.774744095476 \tabularnewline
31 & 4631 & 5326.68472929324 & -695.684729293242 \tabularnewline
32 & 4315 & 5107.02978093207 & -792.029780932069 \tabularnewline
33 & 4268 & 3565.64188780086 & 702.358112199142 \tabularnewline
34 & 4172 & 4800.87293113844 & -628.87293113844 \tabularnewline
35 & 3432 & 2865.56596179729 & 566.434038202706 \tabularnewline
36 & 2705 & 2089.63437269715 & 615.365627302848 \tabularnewline
37 & 2359 & 1720.71866681994 & 638.281333180063 \tabularnewline
38 & 2729 & 1966.28894931216 & 762.711050687844 \tabularnewline
39 & 4043 & 3317.54473177249 & 725.455268227506 \tabularnewline
40 & 4301 & 4212.94382803336 & 88.0561719666384 \tabularnewline
41 & 4576 & 4384.6881629199 & 191.311837080098 \tabularnewline
42 & 4984 & 4793.44311073607 & 190.556889263928 \tabularnewline
43 & 4854 & 5381.7693887839 & -527.769388783899 \tabularnewline
44 & 4847 & 5298.55152894854 & -451.551528948543 \tabularnewline
45 & 5038 & 4379.45030289665 & 658.549697103352 \tabularnewline
46 & 4950 & 5326.72602311832 & -376.726023118324 \tabularnewline
47 & 4566 & 3886.45697525282 & 679.543024747177 \tabularnewline
48 & 3943 & 3250.30212146925 & 692.697878530746 \tabularnewline
49 & 3328 & 2990.88277056286 & 337.117229437139 \tabularnewline
50 & 3106 & 3093.44648949214 & 12.5535105078602 \tabularnewline
51 & 4821 & 3932.91134361707 & 888.088656382929 \tabularnewline
52 & 4876 & 4837.20486317619 & 38.7951368238073 \tabularnewline
53 & 5691 & 5031.86425162083 & 659.135748379165 \tabularnewline
54 & 6576 & 5817.12545788445 & 758.874542115551 \tabularnewline
55 & 5850 & 6701.20082222661 & -851.200822226613 \tabularnewline
56 & 6499 & 6449.35469064419 & 49.6453093558139 \tabularnewline
57 & 6244 & 6191.32283303849 & 52.6771669615109 \tabularnewline
58 & 5855 & 6516.68401867831 & -661.684018678315 \tabularnewline
59 & 5304 & 5149.59867504267 & 154.401324957334 \tabularnewline
60 & 4035 & 4172.63084735386 & -137.630847353856 \tabularnewline
61 & 4167 & 3258.79225621599 & 908.207743784011 \tabularnewline
62 & 4791 & 3725.08888414898 & 1065.91111585102 \tabularnewline
63 & 5215 & 5558.65464354464 & -343.654643544644 \tabularnewline
64 & 5949 & 5416.33634073137 & 532.663659268632 \tabularnewline
65 & 6459 & 6136.44095534277 & 322.559044657233 \tabularnewline
66 & 6680 & 6731.04160606398 & -51.0416060639845 \tabularnewline
67 & 6413 & 6689.63853529884 & -276.638535298839 \tabularnewline
68 & 6626 & 7075.40099312617 & -449.400993126173 \tabularnewline
69 & 6642 & 6477.74466117673 & 164.255338823265 \tabularnewline
70 & 6529 & 6740.88553151515 & -211.885531515154 \tabularnewline
71 & 5691 & 5904.04446029775 & -213.044460297748 \tabularnewline
72 & 4743 & 4618.23704699828 & 124.762953001724 \tabularnewline
73 & 3535 & 4150.59624846813 & -615.596248468128 \tabularnewline
74 & 3314 & 3562.86142164746 & -248.861421647456 \tabularnewline
75 & 5564 & 4120.2215204861 & 1443.7784795139 \tabularnewline
76 & 6287 & 5461.34171083618 & 825.65828916382 \tabularnewline
77 & 6738 & 6356.08185566312 & 381.918144336881 \tabularnewline
78 & 6355 & 6922.33389795092 & -567.333897950924 \tabularnewline
79 & 6745 & 6466.24519164481 & 278.754808355194 \tabularnewline
80 & 7005 & 7224.23574196104 & -219.235741961037 \tabularnewline
81 & 6575 & 6946.21162167529 & -371.211621675286 \tabularnewline
82 & 6719 & 6750.88346231273 & -31.8834623127259 \tabularnewline
83 & 5196 & 6054.36723689453 & -858.367236894534 \tabularnewline
84 & 4304 & 4384.87981065825 & -80.8798106582472 \tabularnewline
85 & 4967 & 3602.87701348375 & 1364.12298651625 \tabularnewline
86 & 4175 & 4542.59840077024 & -367.598400770239 \tabularnewline
87 & 5579 & 5422.1295849087 & 156.870415091298 \tabularnewline
88 & 7009 & 5711.36997270336 & 1297.63002729664 \tabularnewline
89 & 6997 & 6858.83773064829 & 138.162269351713 \tabularnewline
90 & 7062 & 7048.56516700022 & 13.4348329997792 \tabularnewline
91 & 7214 & 7217.7961926221 & -3.79619262209872 \tabularnewline
92 & 6918 & 7677.33226353076 & -759.33226353076 \tabularnewline
93 & 6874 & 6986.21908579454 & -112.219085794543 \tabularnewline
94 & 7175 & 7063.73109599222 & 111.268904007785 \tabularnewline
95 & 5375 & 6297.47504894059 & -922.475048940594 \tabularnewline
96 & 4675 & 4769.26800290277 & -94.2680029027706 \tabularnewline
97 & 4422 & 4314.55997617111 & 107.440023828891 \tabularnewline
98 & 4567 & 3959.73072753797 & 607.26927246203 \tabularnewline
99 & 5971 & 5662.60977898287 & 308.390221017127 \tabularnewline
100 & 6560 & 6326.83846314009 & 233.161536859912 \tabularnewline
101 & 6415 & 6446.73277755541 & -31.7327775554086 \tabularnewline
102 & 6727 & 6478.7608299902 & 248.239170009799 \tabularnewline
103 & 7077 & 6807.49261006428 & 269.507389935725 \tabularnewline
104 & 6589 & 7292.34092748933 & -703.340927489332 \tabularnewline
105 & 6800 & 6786.95022233292 & 13.0497776670818 \tabularnewline
106 & 6982 & 7006.47674089292 & -24.4767408929201 \tabularnewline
107 & 6118 & 5911.07887681799 & 206.921123182011 \tabularnewline
108 & 4500 & 5393.99127229509 & -893.991272295088 \tabularnewline
109 & 3195 & 4417.53878467154 & -1222.53878467154 \tabularnewline
110 & 4482 & 3208.62887235257 & 1273.37112764743 \tabularnewline
111 & 6619 & 5316.08418427645 & 1302.91581572355 \tabularnewline
112 & 6237 & 6684.99347304832 & -447.993473048316 \tabularnewline
113 & 6520 & 6257.91654481502 & 262.083455184983 \tabularnewline
114 & 7043 & 6567.2874781536 & 475.712521846404 \tabularnewline
115 & 6188 & 7071.20049953276 & -883.200499532757 \tabularnewline
116 & 6774 & 6503.23734747679 & 270.762652523206 \tabularnewline
117 & 6118 & 6860.64700245987 & -742.647002459873 \tabularnewline
118 & 6308 & 6524.75101337908 & -216.751013379081 \tabularnewline
119 & 5230 & 5334.54445394611 & -104.544453946109 \tabularnewline
120 & 4587 & 4333.46082571227 & 253.539174287735 \tabularnewline
121 & 4976 & 4107.50754029184 & 868.492459708155 \tabularnewline
122 & 4561 & 4989.84124236046 & -428.841242360457 \tabularnewline
123 & 5456 & 5895.24198242395 & -439.241982423953 \tabularnewline
124 & 5691 & 5607.5074964888 & 83.4925035112001 \tabularnewline
125 & 6163 & 5711.1540136942 & 451.845986305801 \tabularnewline
126 & 6133 & 6198.10531949891 & -65.1053194989072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298818&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]4144[/C][C]5077.5186965812[/C][C]-933.518696581198[/C][/ROW]
[ROW][C]14[/C][C]3778[/C][C]4066.05167357513[/C][C]-288.051673575131[/C][/ROW]
[ROW][C]15[/C][C]4320[/C][C]4365.89188718853[/C][C]-45.8918871885289[/C][/ROW]
[ROW][C]16[/C][C]4948[/C][C]4876.21101240803[/C][C]71.78898759197[/C][/ROW]
[ROW][C]17[/C][C]5132[/C][C]5042.79923460671[/C][C]89.2007653932887[/C][/ROW]
[ROW][C]18[/C][C]5460[/C][C]5326.47296782212[/C][C]133.527032177881[/C][/ROW]
[ROW][C]19[/C][C]5598[/C][C]5957.2354610818[/C][C]-359.235461081802[/C][/ROW]
[ROW][C]20[/C][C]5583[/C][C]5967.61549801921[/C][C]-384.615498019209[/C][/ROW]
[ROW][C]21[/C][C]5917[/C][C]4245.65696781736[/C][C]1671.34303218264[/C][/ROW]
[ROW][C]22[/C][C]6458[/C][C]6581.52951484607[/C][C]-123.529514846073[/C][/ROW]
[ROW][C]23[/C][C]5079[/C][C]4966.59966310158[/C][C]112.400336898418[/C][/ROW]
[ROW][C]24[/C][C]4486[/C][C]3725.23053215613[/C][C]760.769467843867[/C][/ROW]
[ROW][C]25[/C][C]3763[/C][C]3602.33041605822[/C][C]160.66958394178[/C][/ROW]
[ROW][C]26[/C][C]3531[/C][C]3545.61362588042[/C][C]-14.613625880419[/C][/ROW]
[ROW][C]27[/C][C]5014[/C][C]4126.52164577408[/C][C]887.478354225916[/C][/ROW]
[ROW][C]28[/C][C]5162[/C][C]5376.0776067827[/C][C]-214.077606782698[/C][/ROW]
[ROW][C]29[/C][C]4880[/C][C]5382.81055360308[/C][C]-502.810553603075[/C][/ROW]
[ROW][C]30[/C][C]4720[/C][C]5284.77474409548[/C][C]-564.774744095476[/C][/ROW]
[ROW][C]31[/C][C]4631[/C][C]5326.68472929324[/C][C]-695.684729293242[/C][/ROW]
[ROW][C]32[/C][C]4315[/C][C]5107.02978093207[/C][C]-792.029780932069[/C][/ROW]
[ROW][C]33[/C][C]4268[/C][C]3565.64188780086[/C][C]702.358112199142[/C][/ROW]
[ROW][C]34[/C][C]4172[/C][C]4800.87293113844[/C][C]-628.87293113844[/C][/ROW]
[ROW][C]35[/C][C]3432[/C][C]2865.56596179729[/C][C]566.434038202706[/C][/ROW]
[ROW][C]36[/C][C]2705[/C][C]2089.63437269715[/C][C]615.365627302848[/C][/ROW]
[ROW][C]37[/C][C]2359[/C][C]1720.71866681994[/C][C]638.281333180063[/C][/ROW]
[ROW][C]38[/C][C]2729[/C][C]1966.28894931216[/C][C]762.711050687844[/C][/ROW]
[ROW][C]39[/C][C]4043[/C][C]3317.54473177249[/C][C]725.455268227506[/C][/ROW]
[ROW][C]40[/C][C]4301[/C][C]4212.94382803336[/C][C]88.0561719666384[/C][/ROW]
[ROW][C]41[/C][C]4576[/C][C]4384.6881629199[/C][C]191.311837080098[/C][/ROW]
[ROW][C]42[/C][C]4984[/C][C]4793.44311073607[/C][C]190.556889263928[/C][/ROW]
[ROW][C]43[/C][C]4854[/C][C]5381.7693887839[/C][C]-527.769388783899[/C][/ROW]
[ROW][C]44[/C][C]4847[/C][C]5298.55152894854[/C][C]-451.551528948543[/C][/ROW]
[ROW][C]45[/C][C]5038[/C][C]4379.45030289665[/C][C]658.549697103352[/C][/ROW]
[ROW][C]46[/C][C]4950[/C][C]5326.72602311832[/C][C]-376.726023118324[/C][/ROW]
[ROW][C]47[/C][C]4566[/C][C]3886.45697525282[/C][C]679.543024747177[/C][/ROW]
[ROW][C]48[/C][C]3943[/C][C]3250.30212146925[/C][C]692.697878530746[/C][/ROW]
[ROW][C]49[/C][C]3328[/C][C]2990.88277056286[/C][C]337.117229437139[/C][/ROW]
[ROW][C]50[/C][C]3106[/C][C]3093.44648949214[/C][C]12.5535105078602[/C][/ROW]
[ROW][C]51[/C][C]4821[/C][C]3932.91134361707[/C][C]888.088656382929[/C][/ROW]
[ROW][C]52[/C][C]4876[/C][C]4837.20486317619[/C][C]38.7951368238073[/C][/ROW]
[ROW][C]53[/C][C]5691[/C][C]5031.86425162083[/C][C]659.135748379165[/C][/ROW]
[ROW][C]54[/C][C]6576[/C][C]5817.12545788445[/C][C]758.874542115551[/C][/ROW]
[ROW][C]55[/C][C]5850[/C][C]6701.20082222661[/C][C]-851.200822226613[/C][/ROW]
[ROW][C]56[/C][C]6499[/C][C]6449.35469064419[/C][C]49.6453093558139[/C][/ROW]
[ROW][C]57[/C][C]6244[/C][C]6191.32283303849[/C][C]52.6771669615109[/C][/ROW]
[ROW][C]58[/C][C]5855[/C][C]6516.68401867831[/C][C]-661.684018678315[/C][/ROW]
[ROW][C]59[/C][C]5304[/C][C]5149.59867504267[/C][C]154.401324957334[/C][/ROW]
[ROW][C]60[/C][C]4035[/C][C]4172.63084735386[/C][C]-137.630847353856[/C][/ROW]
[ROW][C]61[/C][C]4167[/C][C]3258.79225621599[/C][C]908.207743784011[/C][/ROW]
[ROW][C]62[/C][C]4791[/C][C]3725.08888414898[/C][C]1065.91111585102[/C][/ROW]
[ROW][C]63[/C][C]5215[/C][C]5558.65464354464[/C][C]-343.654643544644[/C][/ROW]
[ROW][C]64[/C][C]5949[/C][C]5416.33634073137[/C][C]532.663659268632[/C][/ROW]
[ROW][C]65[/C][C]6459[/C][C]6136.44095534277[/C][C]322.559044657233[/C][/ROW]
[ROW][C]66[/C][C]6680[/C][C]6731.04160606398[/C][C]-51.0416060639845[/C][/ROW]
[ROW][C]67[/C][C]6413[/C][C]6689.63853529884[/C][C]-276.638535298839[/C][/ROW]
[ROW][C]68[/C][C]6626[/C][C]7075.40099312617[/C][C]-449.400993126173[/C][/ROW]
[ROW][C]69[/C][C]6642[/C][C]6477.74466117673[/C][C]164.255338823265[/C][/ROW]
[ROW][C]70[/C][C]6529[/C][C]6740.88553151515[/C][C]-211.885531515154[/C][/ROW]
[ROW][C]71[/C][C]5691[/C][C]5904.04446029775[/C][C]-213.044460297748[/C][/ROW]
[ROW][C]72[/C][C]4743[/C][C]4618.23704699828[/C][C]124.762953001724[/C][/ROW]
[ROW][C]73[/C][C]3535[/C][C]4150.59624846813[/C][C]-615.596248468128[/C][/ROW]
[ROW][C]74[/C][C]3314[/C][C]3562.86142164746[/C][C]-248.861421647456[/C][/ROW]
[ROW][C]75[/C][C]5564[/C][C]4120.2215204861[/C][C]1443.7784795139[/C][/ROW]
[ROW][C]76[/C][C]6287[/C][C]5461.34171083618[/C][C]825.65828916382[/C][/ROW]
[ROW][C]77[/C][C]6738[/C][C]6356.08185566312[/C][C]381.918144336881[/C][/ROW]
[ROW][C]78[/C][C]6355[/C][C]6922.33389795092[/C][C]-567.333897950924[/C][/ROW]
[ROW][C]79[/C][C]6745[/C][C]6466.24519164481[/C][C]278.754808355194[/C][/ROW]
[ROW][C]80[/C][C]7005[/C][C]7224.23574196104[/C][C]-219.235741961037[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]6946.21162167529[/C][C]-371.211621675286[/C][/ROW]
[ROW][C]82[/C][C]6719[/C][C]6750.88346231273[/C][C]-31.8834623127259[/C][/ROW]
[ROW][C]83[/C][C]5196[/C][C]6054.36723689453[/C][C]-858.367236894534[/C][/ROW]
[ROW][C]84[/C][C]4304[/C][C]4384.87981065825[/C][C]-80.8798106582472[/C][/ROW]
[ROW][C]85[/C][C]4967[/C][C]3602.87701348375[/C][C]1364.12298651625[/C][/ROW]
[ROW][C]86[/C][C]4175[/C][C]4542.59840077024[/C][C]-367.598400770239[/C][/ROW]
[ROW][C]87[/C][C]5579[/C][C]5422.1295849087[/C][C]156.870415091298[/C][/ROW]
[ROW][C]88[/C][C]7009[/C][C]5711.36997270336[/C][C]1297.63002729664[/C][/ROW]
[ROW][C]89[/C][C]6997[/C][C]6858.83773064829[/C][C]138.162269351713[/C][/ROW]
[ROW][C]90[/C][C]7062[/C][C]7048.56516700022[/C][C]13.4348329997792[/C][/ROW]
[ROW][C]91[/C][C]7214[/C][C]7217.7961926221[/C][C]-3.79619262209872[/C][/ROW]
[ROW][C]92[/C][C]6918[/C][C]7677.33226353076[/C][C]-759.33226353076[/C][/ROW]
[ROW][C]93[/C][C]6874[/C][C]6986.21908579454[/C][C]-112.219085794543[/C][/ROW]
[ROW][C]94[/C][C]7175[/C][C]7063.73109599222[/C][C]111.268904007785[/C][/ROW]
[ROW][C]95[/C][C]5375[/C][C]6297.47504894059[/C][C]-922.475048940594[/C][/ROW]
[ROW][C]96[/C][C]4675[/C][C]4769.26800290277[/C][C]-94.2680029027706[/C][/ROW]
[ROW][C]97[/C][C]4422[/C][C]4314.55997617111[/C][C]107.440023828891[/C][/ROW]
[ROW][C]98[/C][C]4567[/C][C]3959.73072753797[/C][C]607.26927246203[/C][/ROW]
[ROW][C]99[/C][C]5971[/C][C]5662.60977898287[/C][C]308.390221017127[/C][/ROW]
[ROW][C]100[/C][C]6560[/C][C]6326.83846314009[/C][C]233.161536859912[/C][/ROW]
[ROW][C]101[/C][C]6415[/C][C]6446.73277755541[/C][C]-31.7327775554086[/C][/ROW]
[ROW][C]102[/C][C]6727[/C][C]6478.7608299902[/C][C]248.239170009799[/C][/ROW]
[ROW][C]103[/C][C]7077[/C][C]6807.49261006428[/C][C]269.507389935725[/C][/ROW]
[ROW][C]104[/C][C]6589[/C][C]7292.34092748933[/C][C]-703.340927489332[/C][/ROW]
[ROW][C]105[/C][C]6800[/C][C]6786.95022233292[/C][C]13.0497776670818[/C][/ROW]
[ROW][C]106[/C][C]6982[/C][C]7006.47674089292[/C][C]-24.4767408929201[/C][/ROW]
[ROW][C]107[/C][C]6118[/C][C]5911.07887681799[/C][C]206.921123182011[/C][/ROW]
[ROW][C]108[/C][C]4500[/C][C]5393.99127229509[/C][C]-893.991272295088[/C][/ROW]
[ROW][C]109[/C][C]3195[/C][C]4417.53878467154[/C][C]-1222.53878467154[/C][/ROW]
[ROW][C]110[/C][C]4482[/C][C]3208.62887235257[/C][C]1273.37112764743[/C][/ROW]
[ROW][C]111[/C][C]6619[/C][C]5316.08418427645[/C][C]1302.91581572355[/C][/ROW]
[ROW][C]112[/C][C]6237[/C][C]6684.99347304832[/C][C]-447.993473048316[/C][/ROW]
[ROW][C]113[/C][C]6520[/C][C]6257.91654481502[/C][C]262.083455184983[/C][/ROW]
[ROW][C]114[/C][C]7043[/C][C]6567.2874781536[/C][C]475.712521846404[/C][/ROW]
[ROW][C]115[/C][C]6188[/C][C]7071.20049953276[/C][C]-883.200499532757[/C][/ROW]
[ROW][C]116[/C][C]6774[/C][C]6503.23734747679[/C][C]270.762652523206[/C][/ROW]
[ROW][C]117[/C][C]6118[/C][C]6860.64700245987[/C][C]-742.647002459873[/C][/ROW]
[ROW][C]118[/C][C]6308[/C][C]6524.75101337908[/C][C]-216.751013379081[/C][/ROW]
[ROW][C]119[/C][C]5230[/C][C]5334.54445394611[/C][C]-104.544453946109[/C][/ROW]
[ROW][C]120[/C][C]4587[/C][C]4333.46082571227[/C][C]253.539174287735[/C][/ROW]
[ROW][C]121[/C][C]4976[/C][C]4107.50754029184[/C][C]868.492459708155[/C][/ROW]
[ROW][C]122[/C][C]4561[/C][C]4989.84124236046[/C][C]-428.841242360457[/C][/ROW]
[ROW][C]123[/C][C]5456[/C][C]5895.24198242395[/C][C]-439.241982423953[/C][/ROW]
[ROW][C]124[/C][C]5691[/C][C]5607.5074964888[/C][C]83.4925035112001[/C][/ROW]
[ROW][C]125[/C][C]6163[/C][C]5711.1540136942[/C][C]451.845986305801[/C][/ROW]
[ROW][C]126[/C][C]6133[/C][C]6198.10531949891[/C][C]-65.1053194989072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298818&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298818&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
1341445077.5186965812-933.518696581198
1437784066.05167357513-288.051673575131
1543204365.89188718853-45.8918871885289
1649484876.2110124080371.78898759197
1751325042.7992346067189.2007653932887
1854605326.47296782212133.527032177881
1955985957.2354610818-359.235461081802
2055835967.61549801921-384.615498019209
2159174245.656967817361671.34303218264
2264586581.52951484607-123.529514846073
2350794966.59966310158112.400336898418
2444863725.23053215613760.769467843867
2537633602.33041605822160.66958394178
2635313545.61362588042-14.613625880419
2750144126.52164577408887.478354225916
2851625376.0776067827-214.077606782698
2948805382.81055360308-502.810553603075
3047205284.77474409548-564.774744095476
3146315326.68472929324-695.684729293242
3243155107.02978093207-792.029780932069
3342683565.64188780086702.358112199142
3441724800.87293113844-628.87293113844
3534322865.56596179729566.434038202706
3627052089.63437269715615.365627302848
3723591720.71866681994638.281333180063
3827291966.28894931216762.711050687844
3940433317.54473177249725.455268227506
4043014212.9438280333688.0561719666384
4145764384.6881629199191.311837080098
4249844793.44311073607190.556889263928
4348545381.7693887839-527.769388783899
4448475298.55152894854-451.551528948543
4550384379.45030289665658.549697103352
4649505326.72602311832-376.726023118324
4745663886.45697525282679.543024747177
4839433250.30212146925692.697878530746
4933282990.88277056286337.117229437139
5031063093.4464894921412.5535105078602
5148213932.91134361707888.088656382929
5248764837.2048631761938.7951368238073
5356915031.86425162083659.135748379165
5465765817.12545788445758.874542115551
5558506701.20082222661-851.200822226613
5664996449.3546906441949.6453093558139
5762446191.3228330384952.6771669615109
5858556516.68401867831-661.684018678315
5953045149.59867504267154.401324957334
6040354172.63084735386-137.630847353856
6141673258.79225621599908.207743784011
6247913725.088884148981065.91111585102
6352155558.65464354464-343.654643544644
6459495416.33634073137532.663659268632
6564596136.44095534277322.559044657233
6666806731.04160606398-51.0416060639845
6764136689.63853529884-276.638535298839
6866267075.40099312617-449.400993126173
6966426477.74466117673164.255338823265
7065296740.88553151515-211.885531515154
7156915904.04446029775-213.044460297748
7247434618.23704699828124.762953001724
7335354150.59624846813-615.596248468128
7433143562.86142164746-248.861421647456
7555644120.22152048611443.7784795139
7662875461.34171083618825.65828916382
7767386356.08185566312381.918144336881
7863556922.33389795092-567.333897950924
7967456466.24519164481278.754808355194
8070057224.23574196104-219.235741961037
8165756946.21162167529-371.211621675286
8267196750.88346231273-31.8834623127259
8351966054.36723689453-858.367236894534
8443044384.87981065825-80.8798106582472
8549673602.877013483751364.12298651625
8641754542.59840077024-367.598400770239
8755795422.1295849087156.870415091298
8870095711.369972703361297.63002729664
8969976858.83773064829138.162269351713
9070627048.5651670002213.4348329997792
9172147217.7961926221-3.79619262209872
9269187677.33226353076-759.33226353076
9368746986.21908579454-112.219085794543
9471757063.73109599222111.268904007785
9553756297.47504894059-922.475048940594
9646754769.26800290277-94.2680029027706
9744224314.55997617111107.440023828891
9845673959.73072753797607.26927246203
9959715662.60977898287308.390221017127
10065606326.83846314009233.161536859912
10164156446.73277755541-31.7327775554086
10267276478.7608299902248.239170009799
10370776807.49261006428269.507389935725
10465897292.34092748933-703.340927489332
10568006786.9502223329213.0497776670818
10669827006.47674089292-24.4767408929201
10761185911.07887681799206.921123182011
10845005393.99127229509-893.991272295088
10931954417.53878467154-1222.53878467154
11044823208.628872352571273.37112764743
11166195316.084184276451302.91581572355
11262376684.99347304832-447.993473048316
11365206257.91654481502262.083455184983
11470436567.2874781536475.712521846404
11561887071.20049953276-883.200499532757
11667746503.23734747679270.762652523206
11761186860.64700245987-742.647002459873
11863086524.75101337908-216.751013379081
11952305334.54445394611-104.544453946109
12045874333.46082571227253.539174287735
12149764107.50754029184868.492459708155
12245614989.84124236046-428.841242360457
12354565895.24198242395-439.241982423953
12456915607.507496488883.4925035112001
12561635711.1540136942451.845986305801
12661336198.10531949891-65.1053194989072







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1275995.606309747774861.02871606447130.18390343115
1286317.670932171484912.66329528537722.67856905766
1296248.656674379764608.74873231947888.56461644012
1306568.235251757754715.237855706668421.23264780884
1315567.588936405193516.362822287547618.81505052283
1324732.581236472012493.906637442036971.25583550199
1334470.412615228962052.44161569346888.38361476452
1344434.042762219441843.122811408877024.96271303001
1355644.380663870122885.56035283268403.20097490763
1365795.352854995942872.711593506458717.99411648542
1375927.796327123882844.669386285629010.92326796213
1385974.394029174762733.531934609519215.25612374001
1395833.096841460812352.063046473819314.1306364478
1406155.161463884512524.156429124419786.16649864462
1416086.147206092792306.437012400159865.85739978544
1426405.725783470792478.3590732048210333.0924937367
1435405.079468118221330.919900088499479.23903614794
1444570.07176818504349.8243687540668790.31916761602

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 5995.60630974777 & 4861.0287160644 & 7130.18390343115 \tabularnewline
128 & 6317.67093217148 & 4912.6632952853 & 7722.67856905766 \tabularnewline
129 & 6248.65667437976 & 4608.7487323194 & 7888.56461644012 \tabularnewline
130 & 6568.23525175775 & 4715.23785570666 & 8421.23264780884 \tabularnewline
131 & 5567.58893640519 & 3516.36282228754 & 7618.81505052283 \tabularnewline
132 & 4732.58123647201 & 2493.90663744203 & 6971.25583550199 \tabularnewline
133 & 4470.41261522896 & 2052.4416156934 & 6888.38361476452 \tabularnewline
134 & 4434.04276221944 & 1843.12281140887 & 7024.96271303001 \tabularnewline
135 & 5644.38066387012 & 2885.5603528326 & 8403.20097490763 \tabularnewline
136 & 5795.35285499594 & 2872.71159350645 & 8717.99411648542 \tabularnewline
137 & 5927.79632712388 & 2844.66938628562 & 9010.92326796213 \tabularnewline
138 & 5974.39402917476 & 2733.53193460951 & 9215.25612374001 \tabularnewline
139 & 5833.09684146081 & 2352.06304647381 & 9314.1306364478 \tabularnewline
140 & 6155.16146388451 & 2524.15642912441 & 9786.16649864462 \tabularnewline
141 & 6086.14720609279 & 2306.43701240015 & 9865.85739978544 \tabularnewline
142 & 6405.72578347079 & 2478.35907320482 & 10333.0924937367 \tabularnewline
143 & 5405.07946811822 & 1330.91990008849 & 9479.23903614794 \tabularnewline
144 & 4570.07176818504 & 349.824368754066 & 8790.31916761602 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298818&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]127[/C][C]5995.60630974777[/C][C]4861.0287160644[/C][C]7130.18390343115[/C][/ROW]
[ROW][C]128[/C][C]6317.67093217148[/C][C]4912.6632952853[/C][C]7722.67856905766[/C][/ROW]
[ROW][C]129[/C][C]6248.65667437976[/C][C]4608.7487323194[/C][C]7888.56461644012[/C][/ROW]
[ROW][C]130[/C][C]6568.23525175775[/C][C]4715.23785570666[/C][C]8421.23264780884[/C][/ROW]
[ROW][C]131[/C][C]5567.58893640519[/C][C]3516.36282228754[/C][C]7618.81505052283[/C][/ROW]
[ROW][C]132[/C][C]4732.58123647201[/C][C]2493.90663744203[/C][C]6971.25583550199[/C][/ROW]
[ROW][C]133[/C][C]4470.41261522896[/C][C]2052.4416156934[/C][C]6888.38361476452[/C][/ROW]
[ROW][C]134[/C][C]4434.04276221944[/C][C]1843.12281140887[/C][C]7024.96271303001[/C][/ROW]
[ROW][C]135[/C][C]5644.38066387012[/C][C]2885.5603528326[/C][C]8403.20097490763[/C][/ROW]
[ROW][C]136[/C][C]5795.35285499594[/C][C]2872.71159350645[/C][C]8717.99411648542[/C][/ROW]
[ROW][C]137[/C][C]5927.79632712388[/C][C]2844.66938628562[/C][C]9010.92326796213[/C][/ROW]
[ROW][C]138[/C][C]5974.39402917476[/C][C]2733.53193460951[/C][C]9215.25612374001[/C][/ROW]
[ROW][C]139[/C][C]5833.09684146081[/C][C]2352.06304647381[/C][C]9314.1306364478[/C][/ROW]
[ROW][C]140[/C][C]6155.16146388451[/C][C]2524.15642912441[/C][C]9786.16649864462[/C][/ROW]
[ROW][C]141[/C][C]6086.14720609279[/C][C]2306.43701240015[/C][C]9865.85739978544[/C][/ROW]
[ROW][C]142[/C][C]6405.72578347079[/C][C]2478.35907320482[/C][C]10333.0924937367[/C][/ROW]
[ROW][C]143[/C][C]5405.07946811822[/C][C]1330.91990008849[/C][C]9479.23903614794[/C][/ROW]
[ROW][C]144[/C][C]4570.07176818504[/C][C]349.824368754066[/C][C]8790.31916761602[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298818&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298818&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
1275995.606309747774861.02871606447130.18390343115
1286317.670932171484912.66329528537722.67856905766
1296248.656674379764608.74873231947888.56461644012
1306568.235251757754715.237855706668421.23264780884
1315567.588936405193516.362822287547618.81505052283
1324732.581236472012493.906637442036971.25583550199
1334470.412615228962052.44161569346888.38361476452
1344434.042762219441843.122811408877024.96271303001
1355644.380663870122885.56035283268403.20097490763
1365795.352854995942872.711593506458717.99411648542
1375927.796327123882844.669386285629010.92326796213
1385974.394029174762733.531934609519215.25612374001
1395833.096841460812352.063046473819314.1306364478
1406155.161463884512524.156429124419786.16649864462
1416086.147206092792306.437012400159865.85739978544
1426405.725783470792478.3590732048210333.0924937367
1435405.079468118221330.919900088499479.23903614794
1444570.07176818504349.8243687540668790.31916761602



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 18 ;
R code (references can be found in the software module):
par4 <- '18'
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '11'
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')