Free Statistics

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 16:40:10 +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/t14814719549ou292bi23f7xxt.htm/, Retrieved Thu, 02 May 2024 11:08:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298817, Retrieved Thu, 02 May 2024 11:08:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
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 15:40:10] [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=298817&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=298817&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298817&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
alpha0.126940489283227
beta0.0839484722423645
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.126940489283227 \tabularnewline
beta & 0.0839484722423645 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298817&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]0.126940489283227[/C][/ROW]
[ROW][C]beta[/C][C]0.0839484722423645[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298817&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298817&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
alpha0.126940489283227
beta0.0839484722423645
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1246285752.75694002967-1124.75694002967
1341445129.6460730719-985.646073071905
1437784655.32687317589-877.326873175888
1543204969.40856665879-649.40856665879
1649485461.1382886181-513.1382886181
1751325633.65253408171-501.652534081711
1854605897.18803752096-437.188037520962
1955985975.92963698087-377.929636980874
2055834588.80249832325994.197501676747
2159175828.993930688.0060693999967
2264584309.727175886372148.27282411363
2350792231.450385600122847.54961439988
2444862252.534923179962233.46507682004
2537632334.221506522941428.77849347706
2635313217.40363983158313.596360168423
2750144037.9880153472976.011984652804
2851624513.07081757419648.929182425811
2948805094.7115423165-214.711542316496
3047205371.56981243985-651.569812439854
3146315262.87855404357-631.878554043575
3243155603.39108274614-1288.39108274614
3342685791.36679854726-1523.36679854726
3441723901.62136282047270.378637179535
3534323076.06352222068355.936477779318
3627052213.50593569855491.494064301455
3723591990.72972701738368.270272982621
3827293383.80669686662-654.806696866623
3940433336.15507226278706.844927737224
4043013141.60032411461159.3996758854
4145763196.591261106791379.40873889321
4249843369.653680208061614.34631979194
4348543452.814018229521401.18598177048
4448473836.404981764461010.59501823554
4550383920.718277117381117.28172288262
4649503372.738669786571577.26133021343
4745662891.956352120671674.04364787933
4839432832.703510076781110.29648992322
4933283555.6655919014-227.665591901397
5031064884.48920111594-1778.48920111594
5148214876.51811734617-55.5181173461715
5248765063.38704482784-187.387044827841
5356915319.99687784508371.003122154918
5465765123.298072247051452.70192775295
5558505237.04142793443612.958572065572
5664995424.407091751371074.59290824863
5762445332.52789600683911.472103993167
5858554904.56151444782950.43848555218
5953044306.3928149223997.607185077697
6040353890.85242541722144.147574582777
6141673960.79797530667206.202024693333
6247915778.05573800084-987.05573800084
6352155790.65338910901-575.653389109012
6459496540.45478984811-591.454789848112
6564597210.68258302966-751.682583029661
6666806332.67747851662347.322521483381
6764136907.74979120516-494.749791205162
6866266475.91202928929150.087970710712
6966425978.87021717028663.129782829717
7065295375.904872169071153.09512783093
7156914227.131499398181463.86850060182
7247434524.9941818092218.005818190803
7335355308.30495662757-1773.30495662757
7433145578.23551845573-2264.23551845573
7555646079.85864394629-515.858643946289
7662876600.56656711741-313.566567117408
7767386723.1140656683714.885934331629
7863556502.70595960371-147.705959603713
7967456663.5005967221781.4994032778341
8070056590.53398476302414.466015236977
8165756365.9880012868209.011998713197
8267195340.851276196861378.14872380314
8351964511.36228812904684.637711870962
8443043591.58928112918712.410718870821
8549673751.149688967171215.85031103283
8641756260.76254498635-2085.76254498635
8755796781.8583760812-1202.8583760812
8870097091.85987041087-82.8598704108736
8969976729.63239334427267.367606655733
9070627160.19073758084-98.1907375808396
9172147370.16312127759-156.163121277588
9269186902.7760089571115.2239910428852
9368746880.66897842999-6.66897842998696
9471755262.060216177651912.93978382235
9553754527.69136241146847.308637588541
9646755150.58143568723-475.58143568723
9744224551.62687217013-129.62687217013
9845676101.35714485244-1534.35714485244
9959717353.06450768701-1382.06450768701
10065607123.80100266616-563.801002666164
10164157112.95510725852-697.955107258517
10267277173.04730182647-446.047301826467
10370776792.27169335989284.728306640108
10465896761.91216444206-172.912164442056
10568006773.0118908111126.988109188891
10669824823.661225972462158.33877402754
10761184426.764510924751691.23548907525
10845004396.7484329684103.251567031595
10931954743.95170690425-1548.95170690425
11044826120.93586060653-1638.93586060653
11166196564.889272786454.1107272135996
11262376513.3731865999-276.373186599895
11365206849.42058155154-329.420581551535
11470437125.21192893381-82.2119289338079
11561886648.56688495487-460.566884954867
11667746794.45245812979-20.4524581297919
11761186696.14612724305-578.146127243052
11863085511.17896638966796.821033610344
11952303938.798973727261291.20102627274
12045872964.566647275991622.43335272401
12149764669.59948538934306.400514610665
12245616863.38870842598-2302.38870842598
12354566223.85679846503-767.856798465034
12456916445.6155067258-754.615506725803
12561636873.14321094807-710.143210948066
12661335969.65328871786163.346711282138

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
12 & 4628 & 5752.75694002967 & -1124.75694002967 \tabularnewline
13 & 4144 & 5129.6460730719 & -985.646073071905 \tabularnewline
14 & 3778 & 4655.32687317589 & -877.326873175888 \tabularnewline
15 & 4320 & 4969.40856665879 & -649.40856665879 \tabularnewline
16 & 4948 & 5461.1382886181 & -513.1382886181 \tabularnewline
17 & 5132 & 5633.65253408171 & -501.652534081711 \tabularnewline
18 & 5460 & 5897.18803752096 & -437.188037520962 \tabularnewline
19 & 5598 & 5975.92963698087 & -377.929636980874 \tabularnewline
20 & 5583 & 4588.80249832325 & 994.197501676747 \tabularnewline
21 & 5917 & 5828.9939306 & 88.0060693999967 \tabularnewline
22 & 6458 & 4309.72717588637 & 2148.27282411363 \tabularnewline
23 & 5079 & 2231.45038560012 & 2847.54961439988 \tabularnewline
24 & 4486 & 2252.53492317996 & 2233.46507682004 \tabularnewline
25 & 3763 & 2334.22150652294 & 1428.77849347706 \tabularnewline
26 & 3531 & 3217.40363983158 & 313.596360168423 \tabularnewline
27 & 5014 & 4037.9880153472 & 976.011984652804 \tabularnewline
28 & 5162 & 4513.07081757419 & 648.929182425811 \tabularnewline
29 & 4880 & 5094.7115423165 & -214.711542316496 \tabularnewline
30 & 4720 & 5371.56981243985 & -651.569812439854 \tabularnewline
31 & 4631 & 5262.87855404357 & -631.878554043575 \tabularnewline
32 & 4315 & 5603.39108274614 & -1288.39108274614 \tabularnewline
33 & 4268 & 5791.36679854726 & -1523.36679854726 \tabularnewline
34 & 4172 & 3901.62136282047 & 270.378637179535 \tabularnewline
35 & 3432 & 3076.06352222068 & 355.936477779318 \tabularnewline
36 & 2705 & 2213.50593569855 & 491.494064301455 \tabularnewline
37 & 2359 & 1990.72972701738 & 368.270272982621 \tabularnewline
38 & 2729 & 3383.80669686662 & -654.806696866623 \tabularnewline
39 & 4043 & 3336.15507226278 & 706.844927737224 \tabularnewline
40 & 4301 & 3141.6003241146 & 1159.3996758854 \tabularnewline
41 & 4576 & 3196.59126110679 & 1379.40873889321 \tabularnewline
42 & 4984 & 3369.65368020806 & 1614.34631979194 \tabularnewline
43 & 4854 & 3452.81401822952 & 1401.18598177048 \tabularnewline
44 & 4847 & 3836.40498176446 & 1010.59501823554 \tabularnewline
45 & 5038 & 3920.71827711738 & 1117.28172288262 \tabularnewline
46 & 4950 & 3372.73866978657 & 1577.26133021343 \tabularnewline
47 & 4566 & 2891.95635212067 & 1674.04364787933 \tabularnewline
48 & 3943 & 2832.70351007678 & 1110.29648992322 \tabularnewline
49 & 3328 & 3555.6655919014 & -227.665591901397 \tabularnewline
50 & 3106 & 4884.48920111594 & -1778.48920111594 \tabularnewline
51 & 4821 & 4876.51811734617 & -55.5181173461715 \tabularnewline
52 & 4876 & 5063.38704482784 & -187.387044827841 \tabularnewline
53 & 5691 & 5319.99687784508 & 371.003122154918 \tabularnewline
54 & 6576 & 5123.29807224705 & 1452.70192775295 \tabularnewline
55 & 5850 & 5237.04142793443 & 612.958572065572 \tabularnewline
56 & 6499 & 5424.40709175137 & 1074.59290824863 \tabularnewline
57 & 6244 & 5332.52789600683 & 911.472103993167 \tabularnewline
58 & 5855 & 4904.56151444782 & 950.43848555218 \tabularnewline
59 & 5304 & 4306.3928149223 & 997.607185077697 \tabularnewline
60 & 4035 & 3890.85242541722 & 144.147574582777 \tabularnewline
61 & 4167 & 3960.79797530667 & 206.202024693333 \tabularnewline
62 & 4791 & 5778.05573800084 & -987.05573800084 \tabularnewline
63 & 5215 & 5790.65338910901 & -575.653389109012 \tabularnewline
64 & 5949 & 6540.45478984811 & -591.454789848112 \tabularnewline
65 & 6459 & 7210.68258302966 & -751.682583029661 \tabularnewline
66 & 6680 & 6332.67747851662 & 347.322521483381 \tabularnewline
67 & 6413 & 6907.74979120516 & -494.749791205162 \tabularnewline
68 & 6626 & 6475.91202928929 & 150.087970710712 \tabularnewline
69 & 6642 & 5978.87021717028 & 663.129782829717 \tabularnewline
70 & 6529 & 5375.90487216907 & 1153.09512783093 \tabularnewline
71 & 5691 & 4227.13149939818 & 1463.86850060182 \tabularnewline
72 & 4743 & 4524.9941818092 & 218.005818190803 \tabularnewline
73 & 3535 & 5308.30495662757 & -1773.30495662757 \tabularnewline
74 & 3314 & 5578.23551845573 & -2264.23551845573 \tabularnewline
75 & 5564 & 6079.85864394629 & -515.858643946289 \tabularnewline
76 & 6287 & 6600.56656711741 & -313.566567117408 \tabularnewline
77 & 6738 & 6723.11406566837 & 14.885934331629 \tabularnewline
78 & 6355 & 6502.70595960371 & -147.705959603713 \tabularnewline
79 & 6745 & 6663.50059672217 & 81.4994032778341 \tabularnewline
80 & 7005 & 6590.53398476302 & 414.466015236977 \tabularnewline
81 & 6575 & 6365.9880012868 & 209.011998713197 \tabularnewline
82 & 6719 & 5340.85127619686 & 1378.14872380314 \tabularnewline
83 & 5196 & 4511.36228812904 & 684.637711870962 \tabularnewline
84 & 4304 & 3591.58928112918 & 712.410718870821 \tabularnewline
85 & 4967 & 3751.14968896717 & 1215.85031103283 \tabularnewline
86 & 4175 & 6260.76254498635 & -2085.76254498635 \tabularnewline
87 & 5579 & 6781.8583760812 & -1202.8583760812 \tabularnewline
88 & 7009 & 7091.85987041087 & -82.8598704108736 \tabularnewline
89 & 6997 & 6729.63239334427 & 267.367606655733 \tabularnewline
90 & 7062 & 7160.19073758084 & -98.1907375808396 \tabularnewline
91 & 7214 & 7370.16312127759 & -156.163121277588 \tabularnewline
92 & 6918 & 6902.77600895711 & 15.2239910428852 \tabularnewline
93 & 6874 & 6880.66897842999 & -6.66897842998696 \tabularnewline
94 & 7175 & 5262.06021617765 & 1912.93978382235 \tabularnewline
95 & 5375 & 4527.69136241146 & 847.308637588541 \tabularnewline
96 & 4675 & 5150.58143568723 & -475.58143568723 \tabularnewline
97 & 4422 & 4551.62687217013 & -129.62687217013 \tabularnewline
98 & 4567 & 6101.35714485244 & -1534.35714485244 \tabularnewline
99 & 5971 & 7353.06450768701 & -1382.06450768701 \tabularnewline
100 & 6560 & 7123.80100266616 & -563.801002666164 \tabularnewline
101 & 6415 & 7112.95510725852 & -697.955107258517 \tabularnewline
102 & 6727 & 7173.04730182647 & -446.047301826467 \tabularnewline
103 & 7077 & 6792.27169335989 & 284.728306640108 \tabularnewline
104 & 6589 & 6761.91216444206 & -172.912164442056 \tabularnewline
105 & 6800 & 6773.01189081111 & 26.988109188891 \tabularnewline
106 & 6982 & 4823.66122597246 & 2158.33877402754 \tabularnewline
107 & 6118 & 4426.76451092475 & 1691.23548907525 \tabularnewline
108 & 4500 & 4396.7484329684 & 103.251567031595 \tabularnewline
109 & 3195 & 4743.95170690425 & -1548.95170690425 \tabularnewline
110 & 4482 & 6120.93586060653 & -1638.93586060653 \tabularnewline
111 & 6619 & 6564.8892727864 & 54.1107272135996 \tabularnewline
112 & 6237 & 6513.3731865999 & -276.373186599895 \tabularnewline
113 & 6520 & 6849.42058155154 & -329.420581551535 \tabularnewline
114 & 7043 & 7125.21192893381 & -82.2119289338079 \tabularnewline
115 & 6188 & 6648.56688495487 & -460.566884954867 \tabularnewline
116 & 6774 & 6794.45245812979 & -20.4524581297919 \tabularnewline
117 & 6118 & 6696.14612724305 & -578.146127243052 \tabularnewline
118 & 6308 & 5511.17896638966 & 796.821033610344 \tabularnewline
119 & 5230 & 3938.79897372726 & 1291.20102627274 \tabularnewline
120 & 4587 & 2964.56664727599 & 1622.43335272401 \tabularnewline
121 & 4976 & 4669.59948538934 & 306.400514610665 \tabularnewline
122 & 4561 & 6863.38870842598 & -2302.38870842598 \tabularnewline
123 & 5456 & 6223.85679846503 & -767.856798465034 \tabularnewline
124 & 5691 & 6445.6155067258 & -754.615506725803 \tabularnewline
125 & 6163 & 6873.14321094807 & -710.143210948066 \tabularnewline
126 & 6133 & 5969.65328871786 & 163.346711282138 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298817&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]12[/C][C]4628[/C][C]5752.75694002967[/C][C]-1124.75694002967[/C][/ROW]
[ROW][C]13[/C][C]4144[/C][C]5129.6460730719[/C][C]-985.646073071905[/C][/ROW]
[ROW][C]14[/C][C]3778[/C][C]4655.32687317589[/C][C]-877.326873175888[/C][/ROW]
[ROW][C]15[/C][C]4320[/C][C]4969.40856665879[/C][C]-649.40856665879[/C][/ROW]
[ROW][C]16[/C][C]4948[/C][C]5461.1382886181[/C][C]-513.1382886181[/C][/ROW]
[ROW][C]17[/C][C]5132[/C][C]5633.65253408171[/C][C]-501.652534081711[/C][/ROW]
[ROW][C]18[/C][C]5460[/C][C]5897.18803752096[/C][C]-437.188037520962[/C][/ROW]
[ROW][C]19[/C][C]5598[/C][C]5975.92963698087[/C][C]-377.929636980874[/C][/ROW]
[ROW][C]20[/C][C]5583[/C][C]4588.80249832325[/C][C]994.197501676747[/C][/ROW]
[ROW][C]21[/C][C]5917[/C][C]5828.9939306[/C][C]88.0060693999967[/C][/ROW]
[ROW][C]22[/C][C]6458[/C][C]4309.72717588637[/C][C]2148.27282411363[/C][/ROW]
[ROW][C]23[/C][C]5079[/C][C]2231.45038560012[/C][C]2847.54961439988[/C][/ROW]
[ROW][C]24[/C][C]4486[/C][C]2252.53492317996[/C][C]2233.46507682004[/C][/ROW]
[ROW][C]25[/C][C]3763[/C][C]2334.22150652294[/C][C]1428.77849347706[/C][/ROW]
[ROW][C]26[/C][C]3531[/C][C]3217.40363983158[/C][C]313.596360168423[/C][/ROW]
[ROW][C]27[/C][C]5014[/C][C]4037.9880153472[/C][C]976.011984652804[/C][/ROW]
[ROW][C]28[/C][C]5162[/C][C]4513.07081757419[/C][C]648.929182425811[/C][/ROW]
[ROW][C]29[/C][C]4880[/C][C]5094.7115423165[/C][C]-214.711542316496[/C][/ROW]
[ROW][C]30[/C][C]4720[/C][C]5371.56981243985[/C][C]-651.569812439854[/C][/ROW]
[ROW][C]31[/C][C]4631[/C][C]5262.87855404357[/C][C]-631.878554043575[/C][/ROW]
[ROW][C]32[/C][C]4315[/C][C]5603.39108274614[/C][C]-1288.39108274614[/C][/ROW]
[ROW][C]33[/C][C]4268[/C][C]5791.36679854726[/C][C]-1523.36679854726[/C][/ROW]
[ROW][C]34[/C][C]4172[/C][C]3901.62136282047[/C][C]270.378637179535[/C][/ROW]
[ROW][C]35[/C][C]3432[/C][C]3076.06352222068[/C][C]355.936477779318[/C][/ROW]
[ROW][C]36[/C][C]2705[/C][C]2213.50593569855[/C][C]491.494064301455[/C][/ROW]
[ROW][C]37[/C][C]2359[/C][C]1990.72972701738[/C][C]368.270272982621[/C][/ROW]
[ROW][C]38[/C][C]2729[/C][C]3383.80669686662[/C][C]-654.806696866623[/C][/ROW]
[ROW][C]39[/C][C]4043[/C][C]3336.15507226278[/C][C]706.844927737224[/C][/ROW]
[ROW][C]40[/C][C]4301[/C][C]3141.6003241146[/C][C]1159.3996758854[/C][/ROW]
[ROW][C]41[/C][C]4576[/C][C]3196.59126110679[/C][C]1379.40873889321[/C][/ROW]
[ROW][C]42[/C][C]4984[/C][C]3369.65368020806[/C][C]1614.34631979194[/C][/ROW]
[ROW][C]43[/C][C]4854[/C][C]3452.81401822952[/C][C]1401.18598177048[/C][/ROW]
[ROW][C]44[/C][C]4847[/C][C]3836.40498176446[/C][C]1010.59501823554[/C][/ROW]
[ROW][C]45[/C][C]5038[/C][C]3920.71827711738[/C][C]1117.28172288262[/C][/ROW]
[ROW][C]46[/C][C]4950[/C][C]3372.73866978657[/C][C]1577.26133021343[/C][/ROW]
[ROW][C]47[/C][C]4566[/C][C]2891.95635212067[/C][C]1674.04364787933[/C][/ROW]
[ROW][C]48[/C][C]3943[/C][C]2832.70351007678[/C][C]1110.29648992322[/C][/ROW]
[ROW][C]49[/C][C]3328[/C][C]3555.6655919014[/C][C]-227.665591901397[/C][/ROW]
[ROW][C]50[/C][C]3106[/C][C]4884.48920111594[/C][C]-1778.48920111594[/C][/ROW]
[ROW][C]51[/C][C]4821[/C][C]4876.51811734617[/C][C]-55.5181173461715[/C][/ROW]
[ROW][C]52[/C][C]4876[/C][C]5063.38704482784[/C][C]-187.387044827841[/C][/ROW]
[ROW][C]53[/C][C]5691[/C][C]5319.99687784508[/C][C]371.003122154918[/C][/ROW]
[ROW][C]54[/C][C]6576[/C][C]5123.29807224705[/C][C]1452.70192775295[/C][/ROW]
[ROW][C]55[/C][C]5850[/C][C]5237.04142793443[/C][C]612.958572065572[/C][/ROW]
[ROW][C]56[/C][C]6499[/C][C]5424.40709175137[/C][C]1074.59290824863[/C][/ROW]
[ROW][C]57[/C][C]6244[/C][C]5332.52789600683[/C][C]911.472103993167[/C][/ROW]
[ROW][C]58[/C][C]5855[/C][C]4904.56151444782[/C][C]950.43848555218[/C][/ROW]
[ROW][C]59[/C][C]5304[/C][C]4306.3928149223[/C][C]997.607185077697[/C][/ROW]
[ROW][C]60[/C][C]4035[/C][C]3890.85242541722[/C][C]144.147574582777[/C][/ROW]
[ROW][C]61[/C][C]4167[/C][C]3960.79797530667[/C][C]206.202024693333[/C][/ROW]
[ROW][C]62[/C][C]4791[/C][C]5778.05573800084[/C][C]-987.05573800084[/C][/ROW]
[ROW][C]63[/C][C]5215[/C][C]5790.65338910901[/C][C]-575.653389109012[/C][/ROW]
[ROW][C]64[/C][C]5949[/C][C]6540.45478984811[/C][C]-591.454789848112[/C][/ROW]
[ROW][C]65[/C][C]6459[/C][C]7210.68258302966[/C][C]-751.682583029661[/C][/ROW]
[ROW][C]66[/C][C]6680[/C][C]6332.67747851662[/C][C]347.322521483381[/C][/ROW]
[ROW][C]67[/C][C]6413[/C][C]6907.74979120516[/C][C]-494.749791205162[/C][/ROW]
[ROW][C]68[/C][C]6626[/C][C]6475.91202928929[/C][C]150.087970710712[/C][/ROW]
[ROW][C]69[/C][C]6642[/C][C]5978.87021717028[/C][C]663.129782829717[/C][/ROW]
[ROW][C]70[/C][C]6529[/C][C]5375.90487216907[/C][C]1153.09512783093[/C][/ROW]
[ROW][C]71[/C][C]5691[/C][C]4227.13149939818[/C][C]1463.86850060182[/C][/ROW]
[ROW][C]72[/C][C]4743[/C][C]4524.9941818092[/C][C]218.005818190803[/C][/ROW]
[ROW][C]73[/C][C]3535[/C][C]5308.30495662757[/C][C]-1773.30495662757[/C][/ROW]
[ROW][C]74[/C][C]3314[/C][C]5578.23551845573[/C][C]-2264.23551845573[/C][/ROW]
[ROW][C]75[/C][C]5564[/C][C]6079.85864394629[/C][C]-515.858643946289[/C][/ROW]
[ROW][C]76[/C][C]6287[/C][C]6600.56656711741[/C][C]-313.566567117408[/C][/ROW]
[ROW][C]77[/C][C]6738[/C][C]6723.11406566837[/C][C]14.885934331629[/C][/ROW]
[ROW][C]78[/C][C]6355[/C][C]6502.70595960371[/C][C]-147.705959603713[/C][/ROW]
[ROW][C]79[/C][C]6745[/C][C]6663.50059672217[/C][C]81.4994032778341[/C][/ROW]
[ROW][C]80[/C][C]7005[/C][C]6590.53398476302[/C][C]414.466015236977[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]6365.9880012868[/C][C]209.011998713197[/C][/ROW]
[ROW][C]82[/C][C]6719[/C][C]5340.85127619686[/C][C]1378.14872380314[/C][/ROW]
[ROW][C]83[/C][C]5196[/C][C]4511.36228812904[/C][C]684.637711870962[/C][/ROW]
[ROW][C]84[/C][C]4304[/C][C]3591.58928112918[/C][C]712.410718870821[/C][/ROW]
[ROW][C]85[/C][C]4967[/C][C]3751.14968896717[/C][C]1215.85031103283[/C][/ROW]
[ROW][C]86[/C][C]4175[/C][C]6260.76254498635[/C][C]-2085.76254498635[/C][/ROW]
[ROW][C]87[/C][C]5579[/C][C]6781.8583760812[/C][C]-1202.8583760812[/C][/ROW]
[ROW][C]88[/C][C]7009[/C][C]7091.85987041087[/C][C]-82.8598704108736[/C][/ROW]
[ROW][C]89[/C][C]6997[/C][C]6729.63239334427[/C][C]267.367606655733[/C][/ROW]
[ROW][C]90[/C][C]7062[/C][C]7160.19073758084[/C][C]-98.1907375808396[/C][/ROW]
[ROW][C]91[/C][C]7214[/C][C]7370.16312127759[/C][C]-156.163121277588[/C][/ROW]
[ROW][C]92[/C][C]6918[/C][C]6902.77600895711[/C][C]15.2239910428852[/C][/ROW]
[ROW][C]93[/C][C]6874[/C][C]6880.66897842999[/C][C]-6.66897842998696[/C][/ROW]
[ROW][C]94[/C][C]7175[/C][C]5262.06021617765[/C][C]1912.93978382235[/C][/ROW]
[ROW][C]95[/C][C]5375[/C][C]4527.69136241146[/C][C]847.308637588541[/C][/ROW]
[ROW][C]96[/C][C]4675[/C][C]5150.58143568723[/C][C]-475.58143568723[/C][/ROW]
[ROW][C]97[/C][C]4422[/C][C]4551.62687217013[/C][C]-129.62687217013[/C][/ROW]
[ROW][C]98[/C][C]4567[/C][C]6101.35714485244[/C][C]-1534.35714485244[/C][/ROW]
[ROW][C]99[/C][C]5971[/C][C]7353.06450768701[/C][C]-1382.06450768701[/C][/ROW]
[ROW][C]100[/C][C]6560[/C][C]7123.80100266616[/C][C]-563.801002666164[/C][/ROW]
[ROW][C]101[/C][C]6415[/C][C]7112.95510725852[/C][C]-697.955107258517[/C][/ROW]
[ROW][C]102[/C][C]6727[/C][C]7173.04730182647[/C][C]-446.047301826467[/C][/ROW]
[ROW][C]103[/C][C]7077[/C][C]6792.27169335989[/C][C]284.728306640108[/C][/ROW]
[ROW][C]104[/C][C]6589[/C][C]6761.91216444206[/C][C]-172.912164442056[/C][/ROW]
[ROW][C]105[/C][C]6800[/C][C]6773.01189081111[/C][C]26.988109188891[/C][/ROW]
[ROW][C]106[/C][C]6982[/C][C]4823.66122597246[/C][C]2158.33877402754[/C][/ROW]
[ROW][C]107[/C][C]6118[/C][C]4426.76451092475[/C][C]1691.23548907525[/C][/ROW]
[ROW][C]108[/C][C]4500[/C][C]4396.7484329684[/C][C]103.251567031595[/C][/ROW]
[ROW][C]109[/C][C]3195[/C][C]4743.95170690425[/C][C]-1548.95170690425[/C][/ROW]
[ROW][C]110[/C][C]4482[/C][C]6120.93586060653[/C][C]-1638.93586060653[/C][/ROW]
[ROW][C]111[/C][C]6619[/C][C]6564.8892727864[/C][C]54.1107272135996[/C][/ROW]
[ROW][C]112[/C][C]6237[/C][C]6513.3731865999[/C][C]-276.373186599895[/C][/ROW]
[ROW][C]113[/C][C]6520[/C][C]6849.42058155154[/C][C]-329.420581551535[/C][/ROW]
[ROW][C]114[/C][C]7043[/C][C]7125.21192893381[/C][C]-82.2119289338079[/C][/ROW]
[ROW][C]115[/C][C]6188[/C][C]6648.56688495487[/C][C]-460.566884954867[/C][/ROW]
[ROW][C]116[/C][C]6774[/C][C]6794.45245812979[/C][C]-20.4524581297919[/C][/ROW]
[ROW][C]117[/C][C]6118[/C][C]6696.14612724305[/C][C]-578.146127243052[/C][/ROW]
[ROW][C]118[/C][C]6308[/C][C]5511.17896638966[/C][C]796.821033610344[/C][/ROW]
[ROW][C]119[/C][C]5230[/C][C]3938.79897372726[/C][C]1291.20102627274[/C][/ROW]
[ROW][C]120[/C][C]4587[/C][C]2964.56664727599[/C][C]1622.43335272401[/C][/ROW]
[ROW][C]121[/C][C]4976[/C][C]4669.59948538934[/C][C]306.400514610665[/C][/ROW]
[ROW][C]122[/C][C]4561[/C][C]6863.38870842598[/C][C]-2302.38870842598[/C][/ROW]
[ROW][C]123[/C][C]5456[/C][C]6223.85679846503[/C][C]-767.856798465034[/C][/ROW]
[ROW][C]124[/C][C]5691[/C][C]6445.6155067258[/C][C]-754.615506725803[/C][/ROW]
[ROW][C]125[/C][C]6163[/C][C]6873.14321094807[/C][C]-710.143210948066[/C][/ROW]
[ROW][C]126[/C][C]6133[/C][C]5969.65328871786[/C][C]163.346711282138[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298817&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298817&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
1246285752.75694002967-1124.75694002967
1341445129.6460730719-985.646073071905
1437784655.32687317589-877.326873175888
1543204969.40856665879-649.40856665879
1649485461.1382886181-513.1382886181
1751325633.65253408171-501.652534081711
1854605897.18803752096-437.188037520962
1955985975.92963698087-377.929636980874
2055834588.80249832325994.197501676747
2159175828.993930688.0060693999967
2264584309.727175886372148.27282411363
2350792231.450385600122847.54961439988
2444862252.534923179962233.46507682004
2537632334.221506522941428.77849347706
2635313217.40363983158313.596360168423
2750144037.9880153472976.011984652804
2851624513.07081757419648.929182425811
2948805094.7115423165-214.711542316496
3047205371.56981243985-651.569812439854
3146315262.87855404357-631.878554043575
3243155603.39108274614-1288.39108274614
3342685791.36679854726-1523.36679854726
3441723901.62136282047270.378637179535
3534323076.06352222068355.936477779318
3627052213.50593569855491.494064301455
3723591990.72972701738368.270272982621
3827293383.80669686662-654.806696866623
3940433336.15507226278706.844927737224
4043013141.60032411461159.3996758854
4145763196.591261106791379.40873889321
4249843369.653680208061614.34631979194
4348543452.814018229521401.18598177048
4448473836.404981764461010.59501823554
4550383920.718277117381117.28172288262
4649503372.738669786571577.26133021343
4745662891.956352120671674.04364787933
4839432832.703510076781110.29648992322
4933283555.6655919014-227.665591901397
5031064884.48920111594-1778.48920111594
5148214876.51811734617-55.5181173461715
5248765063.38704482784-187.387044827841
5356915319.99687784508371.003122154918
5465765123.298072247051452.70192775295
5558505237.04142793443612.958572065572
5664995424.407091751371074.59290824863
5762445332.52789600683911.472103993167
5858554904.56151444782950.43848555218
5953044306.3928149223997.607185077697
6040353890.85242541722144.147574582777
6141673960.79797530667206.202024693333
6247915778.05573800084-987.05573800084
6352155790.65338910901-575.653389109012
6459496540.45478984811-591.454789848112
6564597210.68258302966-751.682583029661
6666806332.67747851662347.322521483381
6764136907.74979120516-494.749791205162
6866266475.91202928929150.087970710712
6966425978.87021717028663.129782829717
7065295375.904872169071153.09512783093
7156914227.131499398181463.86850060182
7247434524.9941818092218.005818190803
7335355308.30495662757-1773.30495662757
7433145578.23551845573-2264.23551845573
7555646079.85864394629-515.858643946289
7662876600.56656711741-313.566567117408
7767386723.1140656683714.885934331629
7863556502.70595960371-147.705959603713
7967456663.5005967221781.4994032778341
8070056590.53398476302414.466015236977
8165756365.9880012868209.011998713197
8267195340.851276196861378.14872380314
8351964511.36228812904684.637711870962
8443043591.58928112918712.410718870821
8549673751.149688967171215.85031103283
8641756260.76254498635-2085.76254498635
8755796781.8583760812-1202.8583760812
8870097091.85987041087-82.8598704108736
8969976729.63239334427267.367606655733
9070627160.19073758084-98.1907375808396
9172147370.16312127759-156.163121277588
9269186902.7760089571115.2239910428852
9368746880.66897842999-6.66897842998696
9471755262.060216177651912.93978382235
9553754527.69136241146847.308637588541
9646755150.58143568723-475.58143568723
9744224551.62687217013-129.62687217013
9845676101.35714485244-1534.35714485244
9959717353.06450768701-1382.06450768701
10065607123.80100266616-563.801002666164
10164157112.95510725852-697.955107258517
10267277173.04730182647-446.047301826467
10370776792.27169335989284.728306640108
10465896761.91216444206-172.912164442056
10568006773.0118908111126.988109188891
10669824823.661225972462158.33877402754
10761184426.764510924751691.23548907525
10845004396.7484329684103.251567031595
10931954743.95170690425-1548.95170690425
11044826120.93586060653-1638.93586060653
11166196564.889272786454.1107272135996
11262376513.3731865999-276.373186599895
11365206849.42058155154-329.420581551535
11470437125.21192893381-82.2119289338079
11561886648.56688495487-460.566884954867
11667746794.45245812979-20.4524581297919
11761186696.14612724305-578.146127243052
11863085511.17896638966796.821033610344
11952303938.798973727261291.20102627274
12045872964.566647275991622.43335272401
12149764669.59948538934306.400514610665
12245616863.38870842598-2302.38870842598
12354566223.85679846503-767.856798465034
12456916445.6155067258-754.615506725803
12561636873.14321094807-710.143210948066
12661335969.65328871786163.346711282138







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1276568.824974287494567.680372295898569.96957627909
1285976.27320643643956.273674881547996.27273799125
1296061.343425598864019.673751231148103.01309996658
1304807.165515016722740.878967942046873.4520620914
1313932.181178577911838.217775139926026.14458201589
1324238.965298167232114.170601856796363.75999447766
1334069.645253294491910.789325840166228.50118074882
1345040.066290451072843.862406852477236.27017404966
1355356.989106922393120.111870406197593.86634343858
1365913.308118477353632.410651354878194.20558559984
1375864.313504742343536.043444704928192.58356477976
1386300.138479029833072.24607069939528.03088736035
1395707.586711178742439.664489661838975.50893269564
1405792.65693034122481.834496483439103.47936419897
1414538.479019759061181.860550376167895.09748914195
1423663.49468332025258.167643435217068.82172320528
1433970.27880290956513.3222210974477427.23538472168
1443800.95875803682289.4509978037747312.46651826988

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 6568.82497428749 & 4567.68037229589 & 8569.96957627909 \tabularnewline
128 & 5976.2732064364 & 3956.27367488154 & 7996.27273799125 \tabularnewline
129 & 6061.34342559886 & 4019.67375123114 & 8103.01309996658 \tabularnewline
130 & 4807.16551501672 & 2740.87896794204 & 6873.4520620914 \tabularnewline
131 & 3932.18117857791 & 1838.21777513992 & 6026.14458201589 \tabularnewline
132 & 4238.96529816723 & 2114.17060185679 & 6363.75999447766 \tabularnewline
133 & 4069.64525329449 & 1910.78932584016 & 6228.50118074882 \tabularnewline
134 & 5040.06629045107 & 2843.86240685247 & 7236.27017404966 \tabularnewline
135 & 5356.98910692239 & 3120.11187040619 & 7593.86634343858 \tabularnewline
136 & 5913.30811847735 & 3632.41065135487 & 8194.20558559984 \tabularnewline
137 & 5864.31350474234 & 3536.04344470492 & 8192.58356477976 \tabularnewline
138 & 6300.13847902983 & 3072.2460706993 & 9528.03088736035 \tabularnewline
139 & 5707.58671117874 & 2439.66448966183 & 8975.50893269564 \tabularnewline
140 & 5792.6569303412 & 2481.83449648343 & 9103.47936419897 \tabularnewline
141 & 4538.47901975906 & 1181.86055037616 & 7895.09748914195 \tabularnewline
142 & 3663.49468332025 & 258.16764343521 & 7068.82172320528 \tabularnewline
143 & 3970.27880290956 & 513.322221097447 & 7427.23538472168 \tabularnewline
144 & 3800.95875803682 & 289.450997803774 & 7312.46651826988 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298817&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]6568.82497428749[/C][C]4567.68037229589[/C][C]8569.96957627909[/C][/ROW]
[ROW][C]128[/C][C]5976.2732064364[/C][C]3956.27367488154[/C][C]7996.27273799125[/C][/ROW]
[ROW][C]129[/C][C]6061.34342559886[/C][C]4019.67375123114[/C][C]8103.01309996658[/C][/ROW]
[ROW][C]130[/C][C]4807.16551501672[/C][C]2740.87896794204[/C][C]6873.4520620914[/C][/ROW]
[ROW][C]131[/C][C]3932.18117857791[/C][C]1838.21777513992[/C][C]6026.14458201589[/C][/ROW]
[ROW][C]132[/C][C]4238.96529816723[/C][C]2114.17060185679[/C][C]6363.75999447766[/C][/ROW]
[ROW][C]133[/C][C]4069.64525329449[/C][C]1910.78932584016[/C][C]6228.50118074882[/C][/ROW]
[ROW][C]134[/C][C]5040.06629045107[/C][C]2843.86240685247[/C][C]7236.27017404966[/C][/ROW]
[ROW][C]135[/C][C]5356.98910692239[/C][C]3120.11187040619[/C][C]7593.86634343858[/C][/ROW]
[ROW][C]136[/C][C]5913.30811847735[/C][C]3632.41065135487[/C][C]8194.20558559984[/C][/ROW]
[ROW][C]137[/C][C]5864.31350474234[/C][C]3536.04344470492[/C][C]8192.58356477976[/C][/ROW]
[ROW][C]138[/C][C]6300.13847902983[/C][C]3072.2460706993[/C][C]9528.03088736035[/C][/ROW]
[ROW][C]139[/C][C]5707.58671117874[/C][C]2439.66448966183[/C][C]8975.50893269564[/C][/ROW]
[ROW][C]140[/C][C]5792.6569303412[/C][C]2481.83449648343[/C][C]9103.47936419897[/C][/ROW]
[ROW][C]141[/C][C]4538.47901975906[/C][C]1181.86055037616[/C][C]7895.09748914195[/C][/ROW]
[ROW][C]142[/C][C]3663.49468332025[/C][C]258.16764343521[/C][C]7068.82172320528[/C][/ROW]
[ROW][C]143[/C][C]3970.27880290956[/C][C]513.322221097447[/C][C]7427.23538472168[/C][/ROW]
[ROW][C]144[/C][C]3800.95875803682[/C][C]289.450997803774[/C][C]7312.46651826988[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298817&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298817&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
1276568.824974287494567.680372295898569.96957627909
1285976.27320643643956.273674881547996.27273799125
1296061.343425598864019.673751231148103.01309996658
1304807.165515016722740.878967942046873.4520620914
1313932.181178577911838.217775139926026.14458201589
1324238.965298167232114.170601856796363.75999447766
1334069.645253294491910.789325840166228.50118074882
1345040.066290451072843.862406852477236.27017404966
1355356.989106922393120.111870406197593.86634343858
1365913.308118477353632.410651354878194.20558559984
1375864.313504742343536.043444704928192.58356477976
1386300.138479029833072.24607069939528.03088736035
1395707.586711178742439.664489661838975.50893269564
1405792.65693034122481.834496483439103.47936419897
1414538.479019759061181.860550376167895.09748914195
1423663.49468332025258.167643435217068.82172320528
1433970.27880290956513.3222210974477427.23538472168
1443800.95875803682289.4509978037747312.46651826988



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 11 ; par2 = Triple ; par3 = additive ; par4 = 18 ;
R code (references can be found in the software module):
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')