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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 12:16:05 +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/t14814556913uof65mmn51di7d.htm/, Retrieved Thu, 02 May 2024 10:54:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298764, Retrieved Thu, 02 May 2024 10:54:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Expontential Smoo...] [2016-12-11 11:16:05] [e1e79d437a44c5123ccedd8a903518e8] [Current]
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Dataseries X:
4730
4760
4815
4995
4960
5065
5075
5085
5095
5140
5140
5140
5365
5085
5105
5200
5205
5160
5140
5150
5210
5205
5200
5095
5140
5165
5190
5050
5055
4985
4995
5010
5010
5020
5170
5155
5155
5150
5130
5170
5180
5175
5185
5200
5205
5210
5195
5195
5210
5205
5235
5235
5205
5195
5200
5165
5170
5255
5240
5265
5275
5285
5320
5335
5335
5325
5355
5375
5445
5415
5415
5450
5535
5570
5590
5575
5575
5595
5650
5680
5665
5675
5700
5700
5710
5745
5745
5765
5740
5725
5765
5900
5900
5900
5890
5935
5945
6000
6000
5995
6065
6065
6065
6075
6070
6085
6095
6095
6065
6115
6190
6200
6205
6210
6230
6235
6235
6235
6225
6225
6255
6310
6305
6320
6320
6330




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298764&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298764&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298764&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.847462478456332
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.847462478456332 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298764&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]0.847462478456332[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298764&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298764&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
alpha0.847462478456332
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
24760473030
348154755.4238743536959.5761256463102
449954805.91240545074189.087594549263
549604966.1570469728-6.15704697280125
650654960.93918068526104.060819314741
750755049.1268205319325.8731794680743
850855071.0533693294813.9466306705153
950955082.8726155236312.1273844763655
1051405093.1501188291746.8498811708314
1151405132.853635241597.14636475841326
1251405138.909911231711.09008876829466
1353655139.83372056102225.166279438978
1450855330.65369379917-245.65369379917
1551055122.47140561017-17.471405610172
1652005107.6650449096692.3349550903395
1752055185.9154547986719.0845452013264
1851605202.0888907752-42.0888907752014
1951405166.42013508337-26.4201350833719
2051505144.030061924475.96993807553372
2152105149.0893604421960.910639557811
2252055200.708842006214.29115799378815
2352005204.34543739508-4.34543739507535
2450955200.66284225027-105.662842250268
2551405111.1175480761228.8824519238842
2651655135.5943423674329.4056576325729
2751905160.5145338653729.4854661346344
2850505185.50236007426-135.502360074263
2950555070.66919416905-15.669194169046
3049855057.39014004313-72.3901400431323
3149954996.04221254638-1.04221254637832
3250104995.1589765187514.8410234812536
3350105007.7361870612.26381293900158
3450205009.6546835850510.3453164149541
3551705018.42195107448151.578048925522
3651555146.878660096488.12133990352413
3751555153.76119093951.23880906049726
3851505154.81103513625-4.81103513624657
3951305150.73386337574-20.7338633757427
4051705133.1626921313636.8373078686391
4151805164.3809283573815.6190716426227
4251755177.61750552282-2.61750552282138
4351855175.399267805089.60073219492187
4452005183.5355281059816.4644718940181
4552055197.488550263767.51144973623923
4652105203.854222074036.14577792596538
4751955209.06253826722-14.0625382672151
4851955197.14506473389-2.14506473389429
4952105195.3272028580614.6727971419414
5052055207.76184788985-2.76184788985483
5152355205.42128543229.5787145680006
5252355230.488136189354.51186381065054
5352055234.31177147678-29.3117714767805
5451955209.47114497312-14.4711449731221
5552005197.20739258812.79260741190046
5651655199.57402258674-34.5740225867439
5751705170.27383571518-0.273835715176574
5852555170.041770221384.9582297786965
5952405242.04068219482-2.04068219481996
6052655240.3112806042624.6887193957436
6152755261.2340439332913.7659560667144
6252855272.900175179912.0998248200958
6353205283.1543227108336.8456772891705
6453355314.3796517067120.6203482932879
6553355331.854623177973.14537682202536
6653255334.52021201525-9.52021201524803
6753555326.4521895453828.5478104546237
6853755350.6453877477524.3546122522466
6954455371.2850078088873.714992191115
7054155433.75569779056-18.755697790556
7154155417.86094765579-2.8609476557931
7254505415.4364018646834.5635981353189
7355355444.7277544048190.2722455951935
7455705521.2300953927348.7699046072721
7555905562.5607596252927.4392403747142
7655755585.8144862802-10.8144862802001
7755755576.64961493395-1.64961493395003
7855955575.2516281735319.7483718264739
7956505591.9876323070758.0123676929325
8056805641.1509372132438.8490627867595
8156655674.07406024821-9.07406024821285
8256755666.38413466068.61586533939953
8357005673.6857572551726.3142427448265
8457005695.986090630414.01390936959433
8557105699.3877282130610.6122717869393
8657455708.3812303636736.6187696363277
8757455739.41426363775.58573636230358
8857655744.147965619320.8520343807013
8957405761.81928235642-21.819282356425
9057255743.32825925251-18.3282592525102
9157655727.7957472405937.2042527594131
9259005759.3249554932140.675044506805
9359005878.5417773678921.4582226321136
9459005896.726815902963.27318409703548
9558905899.50071661028-9.50071661028232
9659355891.4492157646243.5507842353791
9759455928.3568713114516.6431286885481
9860005942.4612983991257.5387016008835
9960005991.223189064968.77681093503907
10059955998.66120701291-3.6612070129122
10160655995.5584714436169.4415285563919
10260656054.407561341810.5924386581955
10360656063.384255659981.61574434002432
10460756064.7535383629210.2464616370753
10560706073.43703013729-3.43703013728828
10660856070.5242760586114.4757239413875
10760956082.7919089474312.2080910525692
10860956093.137808048061.86219195193826
10960656094.71594585501-29.7159458550123
11061156069.5327967310545.4672032689505
11161906108.0645455018381.9354544981679
11262006177.501768844322.4982311557042
11362056196.568175580398.43182441960744
11462106203.713830400946.28616959905776
11562306209.0411232693620.9588767306432
11662356226.802984889178.19701511083167
11762356233.749647630941.25035236906206
11862356234.809274348570.19072565143324
11962256234.97090718184-9.97090718183608
12062256226.52093746906-1.52093746905939
12162556225.2320000319529.7679999680468
12263106250.4592630635659.5407369364375
12363056300.917803556834.08219644316796
12463206304.377311872115.6226881278953
12563206317.616953873122.38304612687898
12663306319.6364960500810.3635039499186

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 4760 & 4730 & 30 \tabularnewline
3 & 4815 & 4755.42387435369 & 59.5761256463102 \tabularnewline
4 & 4995 & 4805.91240545074 & 189.087594549263 \tabularnewline
5 & 4960 & 4966.1570469728 & -6.15704697280125 \tabularnewline
6 & 5065 & 4960.93918068526 & 104.060819314741 \tabularnewline
7 & 5075 & 5049.12682053193 & 25.8731794680743 \tabularnewline
8 & 5085 & 5071.05336932948 & 13.9466306705153 \tabularnewline
9 & 5095 & 5082.87261552363 & 12.1273844763655 \tabularnewline
10 & 5140 & 5093.15011882917 & 46.8498811708314 \tabularnewline
11 & 5140 & 5132.85363524159 & 7.14636475841326 \tabularnewline
12 & 5140 & 5138.90991123171 & 1.09008876829466 \tabularnewline
13 & 5365 & 5139.83372056102 & 225.166279438978 \tabularnewline
14 & 5085 & 5330.65369379917 & -245.65369379917 \tabularnewline
15 & 5105 & 5122.47140561017 & -17.471405610172 \tabularnewline
16 & 5200 & 5107.66504490966 & 92.3349550903395 \tabularnewline
17 & 5205 & 5185.91545479867 & 19.0845452013264 \tabularnewline
18 & 5160 & 5202.0888907752 & -42.0888907752014 \tabularnewline
19 & 5140 & 5166.42013508337 & -26.4201350833719 \tabularnewline
20 & 5150 & 5144.03006192447 & 5.96993807553372 \tabularnewline
21 & 5210 & 5149.08936044219 & 60.910639557811 \tabularnewline
22 & 5205 & 5200.70884200621 & 4.29115799378815 \tabularnewline
23 & 5200 & 5204.34543739508 & -4.34543739507535 \tabularnewline
24 & 5095 & 5200.66284225027 & -105.662842250268 \tabularnewline
25 & 5140 & 5111.11754807612 & 28.8824519238842 \tabularnewline
26 & 5165 & 5135.59434236743 & 29.4056576325729 \tabularnewline
27 & 5190 & 5160.51453386537 & 29.4854661346344 \tabularnewline
28 & 5050 & 5185.50236007426 & -135.502360074263 \tabularnewline
29 & 5055 & 5070.66919416905 & -15.669194169046 \tabularnewline
30 & 4985 & 5057.39014004313 & -72.3901400431323 \tabularnewline
31 & 4995 & 4996.04221254638 & -1.04221254637832 \tabularnewline
32 & 5010 & 4995.15897651875 & 14.8410234812536 \tabularnewline
33 & 5010 & 5007.736187061 & 2.26381293900158 \tabularnewline
34 & 5020 & 5009.65468358505 & 10.3453164149541 \tabularnewline
35 & 5170 & 5018.42195107448 & 151.578048925522 \tabularnewline
36 & 5155 & 5146.87866009648 & 8.12133990352413 \tabularnewline
37 & 5155 & 5153.7611909395 & 1.23880906049726 \tabularnewline
38 & 5150 & 5154.81103513625 & -4.81103513624657 \tabularnewline
39 & 5130 & 5150.73386337574 & -20.7338633757427 \tabularnewline
40 & 5170 & 5133.16269213136 & 36.8373078686391 \tabularnewline
41 & 5180 & 5164.38092835738 & 15.6190716426227 \tabularnewline
42 & 5175 & 5177.61750552282 & -2.61750552282138 \tabularnewline
43 & 5185 & 5175.39926780508 & 9.60073219492187 \tabularnewline
44 & 5200 & 5183.53552810598 & 16.4644718940181 \tabularnewline
45 & 5205 & 5197.48855026376 & 7.51144973623923 \tabularnewline
46 & 5210 & 5203.85422207403 & 6.14577792596538 \tabularnewline
47 & 5195 & 5209.06253826722 & -14.0625382672151 \tabularnewline
48 & 5195 & 5197.14506473389 & -2.14506473389429 \tabularnewline
49 & 5210 & 5195.32720285806 & 14.6727971419414 \tabularnewline
50 & 5205 & 5207.76184788985 & -2.76184788985483 \tabularnewline
51 & 5235 & 5205.421285432 & 29.5787145680006 \tabularnewline
52 & 5235 & 5230.48813618935 & 4.51186381065054 \tabularnewline
53 & 5205 & 5234.31177147678 & -29.3117714767805 \tabularnewline
54 & 5195 & 5209.47114497312 & -14.4711449731221 \tabularnewline
55 & 5200 & 5197.2073925881 & 2.79260741190046 \tabularnewline
56 & 5165 & 5199.57402258674 & -34.5740225867439 \tabularnewline
57 & 5170 & 5170.27383571518 & -0.273835715176574 \tabularnewline
58 & 5255 & 5170.0417702213 & 84.9582297786965 \tabularnewline
59 & 5240 & 5242.04068219482 & -2.04068219481996 \tabularnewline
60 & 5265 & 5240.31128060426 & 24.6887193957436 \tabularnewline
61 & 5275 & 5261.23404393329 & 13.7659560667144 \tabularnewline
62 & 5285 & 5272.9001751799 & 12.0998248200958 \tabularnewline
63 & 5320 & 5283.15432271083 & 36.8456772891705 \tabularnewline
64 & 5335 & 5314.37965170671 & 20.6203482932879 \tabularnewline
65 & 5335 & 5331.85462317797 & 3.14537682202536 \tabularnewline
66 & 5325 & 5334.52021201525 & -9.52021201524803 \tabularnewline
67 & 5355 & 5326.45218954538 & 28.5478104546237 \tabularnewline
68 & 5375 & 5350.64538774775 & 24.3546122522466 \tabularnewline
69 & 5445 & 5371.28500780888 & 73.714992191115 \tabularnewline
70 & 5415 & 5433.75569779056 & -18.755697790556 \tabularnewline
71 & 5415 & 5417.86094765579 & -2.8609476557931 \tabularnewline
72 & 5450 & 5415.43640186468 & 34.5635981353189 \tabularnewline
73 & 5535 & 5444.72775440481 & 90.2722455951935 \tabularnewline
74 & 5570 & 5521.23009539273 & 48.7699046072721 \tabularnewline
75 & 5590 & 5562.56075962529 & 27.4392403747142 \tabularnewline
76 & 5575 & 5585.8144862802 & -10.8144862802001 \tabularnewline
77 & 5575 & 5576.64961493395 & -1.64961493395003 \tabularnewline
78 & 5595 & 5575.25162817353 & 19.7483718264739 \tabularnewline
79 & 5650 & 5591.98763230707 & 58.0123676929325 \tabularnewline
80 & 5680 & 5641.15093721324 & 38.8490627867595 \tabularnewline
81 & 5665 & 5674.07406024821 & -9.07406024821285 \tabularnewline
82 & 5675 & 5666.3841346606 & 8.61586533939953 \tabularnewline
83 & 5700 & 5673.68575725517 & 26.3142427448265 \tabularnewline
84 & 5700 & 5695.98609063041 & 4.01390936959433 \tabularnewline
85 & 5710 & 5699.38772821306 & 10.6122717869393 \tabularnewline
86 & 5745 & 5708.38123036367 & 36.6187696363277 \tabularnewline
87 & 5745 & 5739.4142636377 & 5.58573636230358 \tabularnewline
88 & 5765 & 5744.1479656193 & 20.8520343807013 \tabularnewline
89 & 5740 & 5761.81928235642 & -21.819282356425 \tabularnewline
90 & 5725 & 5743.32825925251 & -18.3282592525102 \tabularnewline
91 & 5765 & 5727.79574724059 & 37.2042527594131 \tabularnewline
92 & 5900 & 5759.3249554932 & 140.675044506805 \tabularnewline
93 & 5900 & 5878.54177736789 & 21.4582226321136 \tabularnewline
94 & 5900 & 5896.72681590296 & 3.27318409703548 \tabularnewline
95 & 5890 & 5899.50071661028 & -9.50071661028232 \tabularnewline
96 & 5935 & 5891.44921576462 & 43.5507842353791 \tabularnewline
97 & 5945 & 5928.35687131145 & 16.6431286885481 \tabularnewline
98 & 6000 & 5942.46129839912 & 57.5387016008835 \tabularnewline
99 & 6000 & 5991.22318906496 & 8.77681093503907 \tabularnewline
100 & 5995 & 5998.66120701291 & -3.6612070129122 \tabularnewline
101 & 6065 & 5995.55847144361 & 69.4415285563919 \tabularnewline
102 & 6065 & 6054.4075613418 & 10.5924386581955 \tabularnewline
103 & 6065 & 6063.38425565998 & 1.61574434002432 \tabularnewline
104 & 6075 & 6064.75353836292 & 10.2464616370753 \tabularnewline
105 & 6070 & 6073.43703013729 & -3.43703013728828 \tabularnewline
106 & 6085 & 6070.52427605861 & 14.4757239413875 \tabularnewline
107 & 6095 & 6082.79190894743 & 12.2080910525692 \tabularnewline
108 & 6095 & 6093.13780804806 & 1.86219195193826 \tabularnewline
109 & 6065 & 6094.71594585501 & -29.7159458550123 \tabularnewline
110 & 6115 & 6069.53279673105 & 45.4672032689505 \tabularnewline
111 & 6190 & 6108.06454550183 & 81.9354544981679 \tabularnewline
112 & 6200 & 6177.5017688443 & 22.4982311557042 \tabularnewline
113 & 6205 & 6196.56817558039 & 8.43182441960744 \tabularnewline
114 & 6210 & 6203.71383040094 & 6.28616959905776 \tabularnewline
115 & 6230 & 6209.04112326936 & 20.9588767306432 \tabularnewline
116 & 6235 & 6226.80298488917 & 8.19701511083167 \tabularnewline
117 & 6235 & 6233.74964763094 & 1.25035236906206 \tabularnewline
118 & 6235 & 6234.80927434857 & 0.19072565143324 \tabularnewline
119 & 6225 & 6234.97090718184 & -9.97090718183608 \tabularnewline
120 & 6225 & 6226.52093746906 & -1.52093746905939 \tabularnewline
121 & 6255 & 6225.23200003195 & 29.7679999680468 \tabularnewline
122 & 6310 & 6250.45926306356 & 59.5407369364375 \tabularnewline
123 & 6305 & 6300.91780355683 & 4.08219644316796 \tabularnewline
124 & 6320 & 6304.3773118721 & 15.6226881278953 \tabularnewline
125 & 6320 & 6317.61695387312 & 2.38304612687898 \tabularnewline
126 & 6330 & 6319.63649605008 & 10.3635039499186 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298764&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]2[/C][C]4760[/C][C]4730[/C][C]30[/C][/ROW]
[ROW][C]3[/C][C]4815[/C][C]4755.42387435369[/C][C]59.5761256463102[/C][/ROW]
[ROW][C]4[/C][C]4995[/C][C]4805.91240545074[/C][C]189.087594549263[/C][/ROW]
[ROW][C]5[/C][C]4960[/C][C]4966.1570469728[/C][C]-6.15704697280125[/C][/ROW]
[ROW][C]6[/C][C]5065[/C][C]4960.93918068526[/C][C]104.060819314741[/C][/ROW]
[ROW][C]7[/C][C]5075[/C][C]5049.12682053193[/C][C]25.8731794680743[/C][/ROW]
[ROW][C]8[/C][C]5085[/C][C]5071.05336932948[/C][C]13.9466306705153[/C][/ROW]
[ROW][C]9[/C][C]5095[/C][C]5082.87261552363[/C][C]12.1273844763655[/C][/ROW]
[ROW][C]10[/C][C]5140[/C][C]5093.15011882917[/C][C]46.8498811708314[/C][/ROW]
[ROW][C]11[/C][C]5140[/C][C]5132.85363524159[/C][C]7.14636475841326[/C][/ROW]
[ROW][C]12[/C][C]5140[/C][C]5138.90991123171[/C][C]1.09008876829466[/C][/ROW]
[ROW][C]13[/C][C]5365[/C][C]5139.83372056102[/C][C]225.166279438978[/C][/ROW]
[ROW][C]14[/C][C]5085[/C][C]5330.65369379917[/C][C]-245.65369379917[/C][/ROW]
[ROW][C]15[/C][C]5105[/C][C]5122.47140561017[/C][C]-17.471405610172[/C][/ROW]
[ROW][C]16[/C][C]5200[/C][C]5107.66504490966[/C][C]92.3349550903395[/C][/ROW]
[ROW][C]17[/C][C]5205[/C][C]5185.91545479867[/C][C]19.0845452013264[/C][/ROW]
[ROW][C]18[/C][C]5160[/C][C]5202.0888907752[/C][C]-42.0888907752014[/C][/ROW]
[ROW][C]19[/C][C]5140[/C][C]5166.42013508337[/C][C]-26.4201350833719[/C][/ROW]
[ROW][C]20[/C][C]5150[/C][C]5144.03006192447[/C][C]5.96993807553372[/C][/ROW]
[ROW][C]21[/C][C]5210[/C][C]5149.08936044219[/C][C]60.910639557811[/C][/ROW]
[ROW][C]22[/C][C]5205[/C][C]5200.70884200621[/C][C]4.29115799378815[/C][/ROW]
[ROW][C]23[/C][C]5200[/C][C]5204.34543739508[/C][C]-4.34543739507535[/C][/ROW]
[ROW][C]24[/C][C]5095[/C][C]5200.66284225027[/C][C]-105.662842250268[/C][/ROW]
[ROW][C]25[/C][C]5140[/C][C]5111.11754807612[/C][C]28.8824519238842[/C][/ROW]
[ROW][C]26[/C][C]5165[/C][C]5135.59434236743[/C][C]29.4056576325729[/C][/ROW]
[ROW][C]27[/C][C]5190[/C][C]5160.51453386537[/C][C]29.4854661346344[/C][/ROW]
[ROW][C]28[/C][C]5050[/C][C]5185.50236007426[/C][C]-135.502360074263[/C][/ROW]
[ROW][C]29[/C][C]5055[/C][C]5070.66919416905[/C][C]-15.669194169046[/C][/ROW]
[ROW][C]30[/C][C]4985[/C][C]5057.39014004313[/C][C]-72.3901400431323[/C][/ROW]
[ROW][C]31[/C][C]4995[/C][C]4996.04221254638[/C][C]-1.04221254637832[/C][/ROW]
[ROW][C]32[/C][C]5010[/C][C]4995.15897651875[/C][C]14.8410234812536[/C][/ROW]
[ROW][C]33[/C][C]5010[/C][C]5007.736187061[/C][C]2.26381293900158[/C][/ROW]
[ROW][C]34[/C][C]5020[/C][C]5009.65468358505[/C][C]10.3453164149541[/C][/ROW]
[ROW][C]35[/C][C]5170[/C][C]5018.42195107448[/C][C]151.578048925522[/C][/ROW]
[ROW][C]36[/C][C]5155[/C][C]5146.87866009648[/C][C]8.12133990352413[/C][/ROW]
[ROW][C]37[/C][C]5155[/C][C]5153.7611909395[/C][C]1.23880906049726[/C][/ROW]
[ROW][C]38[/C][C]5150[/C][C]5154.81103513625[/C][C]-4.81103513624657[/C][/ROW]
[ROW][C]39[/C][C]5130[/C][C]5150.73386337574[/C][C]-20.7338633757427[/C][/ROW]
[ROW][C]40[/C][C]5170[/C][C]5133.16269213136[/C][C]36.8373078686391[/C][/ROW]
[ROW][C]41[/C][C]5180[/C][C]5164.38092835738[/C][C]15.6190716426227[/C][/ROW]
[ROW][C]42[/C][C]5175[/C][C]5177.61750552282[/C][C]-2.61750552282138[/C][/ROW]
[ROW][C]43[/C][C]5185[/C][C]5175.39926780508[/C][C]9.60073219492187[/C][/ROW]
[ROW][C]44[/C][C]5200[/C][C]5183.53552810598[/C][C]16.4644718940181[/C][/ROW]
[ROW][C]45[/C][C]5205[/C][C]5197.48855026376[/C][C]7.51144973623923[/C][/ROW]
[ROW][C]46[/C][C]5210[/C][C]5203.85422207403[/C][C]6.14577792596538[/C][/ROW]
[ROW][C]47[/C][C]5195[/C][C]5209.06253826722[/C][C]-14.0625382672151[/C][/ROW]
[ROW][C]48[/C][C]5195[/C][C]5197.14506473389[/C][C]-2.14506473389429[/C][/ROW]
[ROW][C]49[/C][C]5210[/C][C]5195.32720285806[/C][C]14.6727971419414[/C][/ROW]
[ROW][C]50[/C][C]5205[/C][C]5207.76184788985[/C][C]-2.76184788985483[/C][/ROW]
[ROW][C]51[/C][C]5235[/C][C]5205.421285432[/C][C]29.5787145680006[/C][/ROW]
[ROW][C]52[/C][C]5235[/C][C]5230.48813618935[/C][C]4.51186381065054[/C][/ROW]
[ROW][C]53[/C][C]5205[/C][C]5234.31177147678[/C][C]-29.3117714767805[/C][/ROW]
[ROW][C]54[/C][C]5195[/C][C]5209.47114497312[/C][C]-14.4711449731221[/C][/ROW]
[ROW][C]55[/C][C]5200[/C][C]5197.2073925881[/C][C]2.79260741190046[/C][/ROW]
[ROW][C]56[/C][C]5165[/C][C]5199.57402258674[/C][C]-34.5740225867439[/C][/ROW]
[ROW][C]57[/C][C]5170[/C][C]5170.27383571518[/C][C]-0.273835715176574[/C][/ROW]
[ROW][C]58[/C][C]5255[/C][C]5170.0417702213[/C][C]84.9582297786965[/C][/ROW]
[ROW][C]59[/C][C]5240[/C][C]5242.04068219482[/C][C]-2.04068219481996[/C][/ROW]
[ROW][C]60[/C][C]5265[/C][C]5240.31128060426[/C][C]24.6887193957436[/C][/ROW]
[ROW][C]61[/C][C]5275[/C][C]5261.23404393329[/C][C]13.7659560667144[/C][/ROW]
[ROW][C]62[/C][C]5285[/C][C]5272.9001751799[/C][C]12.0998248200958[/C][/ROW]
[ROW][C]63[/C][C]5320[/C][C]5283.15432271083[/C][C]36.8456772891705[/C][/ROW]
[ROW][C]64[/C][C]5335[/C][C]5314.37965170671[/C][C]20.6203482932879[/C][/ROW]
[ROW][C]65[/C][C]5335[/C][C]5331.85462317797[/C][C]3.14537682202536[/C][/ROW]
[ROW][C]66[/C][C]5325[/C][C]5334.52021201525[/C][C]-9.52021201524803[/C][/ROW]
[ROW][C]67[/C][C]5355[/C][C]5326.45218954538[/C][C]28.5478104546237[/C][/ROW]
[ROW][C]68[/C][C]5375[/C][C]5350.64538774775[/C][C]24.3546122522466[/C][/ROW]
[ROW][C]69[/C][C]5445[/C][C]5371.28500780888[/C][C]73.714992191115[/C][/ROW]
[ROW][C]70[/C][C]5415[/C][C]5433.75569779056[/C][C]-18.755697790556[/C][/ROW]
[ROW][C]71[/C][C]5415[/C][C]5417.86094765579[/C][C]-2.8609476557931[/C][/ROW]
[ROW][C]72[/C][C]5450[/C][C]5415.43640186468[/C][C]34.5635981353189[/C][/ROW]
[ROW][C]73[/C][C]5535[/C][C]5444.72775440481[/C][C]90.2722455951935[/C][/ROW]
[ROW][C]74[/C][C]5570[/C][C]5521.23009539273[/C][C]48.7699046072721[/C][/ROW]
[ROW][C]75[/C][C]5590[/C][C]5562.56075962529[/C][C]27.4392403747142[/C][/ROW]
[ROW][C]76[/C][C]5575[/C][C]5585.8144862802[/C][C]-10.8144862802001[/C][/ROW]
[ROW][C]77[/C][C]5575[/C][C]5576.64961493395[/C][C]-1.64961493395003[/C][/ROW]
[ROW][C]78[/C][C]5595[/C][C]5575.25162817353[/C][C]19.7483718264739[/C][/ROW]
[ROW][C]79[/C][C]5650[/C][C]5591.98763230707[/C][C]58.0123676929325[/C][/ROW]
[ROW][C]80[/C][C]5680[/C][C]5641.15093721324[/C][C]38.8490627867595[/C][/ROW]
[ROW][C]81[/C][C]5665[/C][C]5674.07406024821[/C][C]-9.07406024821285[/C][/ROW]
[ROW][C]82[/C][C]5675[/C][C]5666.3841346606[/C][C]8.61586533939953[/C][/ROW]
[ROW][C]83[/C][C]5700[/C][C]5673.68575725517[/C][C]26.3142427448265[/C][/ROW]
[ROW][C]84[/C][C]5700[/C][C]5695.98609063041[/C][C]4.01390936959433[/C][/ROW]
[ROW][C]85[/C][C]5710[/C][C]5699.38772821306[/C][C]10.6122717869393[/C][/ROW]
[ROW][C]86[/C][C]5745[/C][C]5708.38123036367[/C][C]36.6187696363277[/C][/ROW]
[ROW][C]87[/C][C]5745[/C][C]5739.4142636377[/C][C]5.58573636230358[/C][/ROW]
[ROW][C]88[/C][C]5765[/C][C]5744.1479656193[/C][C]20.8520343807013[/C][/ROW]
[ROW][C]89[/C][C]5740[/C][C]5761.81928235642[/C][C]-21.819282356425[/C][/ROW]
[ROW][C]90[/C][C]5725[/C][C]5743.32825925251[/C][C]-18.3282592525102[/C][/ROW]
[ROW][C]91[/C][C]5765[/C][C]5727.79574724059[/C][C]37.2042527594131[/C][/ROW]
[ROW][C]92[/C][C]5900[/C][C]5759.3249554932[/C][C]140.675044506805[/C][/ROW]
[ROW][C]93[/C][C]5900[/C][C]5878.54177736789[/C][C]21.4582226321136[/C][/ROW]
[ROW][C]94[/C][C]5900[/C][C]5896.72681590296[/C][C]3.27318409703548[/C][/ROW]
[ROW][C]95[/C][C]5890[/C][C]5899.50071661028[/C][C]-9.50071661028232[/C][/ROW]
[ROW][C]96[/C][C]5935[/C][C]5891.44921576462[/C][C]43.5507842353791[/C][/ROW]
[ROW][C]97[/C][C]5945[/C][C]5928.35687131145[/C][C]16.6431286885481[/C][/ROW]
[ROW][C]98[/C][C]6000[/C][C]5942.46129839912[/C][C]57.5387016008835[/C][/ROW]
[ROW][C]99[/C][C]6000[/C][C]5991.22318906496[/C][C]8.77681093503907[/C][/ROW]
[ROW][C]100[/C][C]5995[/C][C]5998.66120701291[/C][C]-3.6612070129122[/C][/ROW]
[ROW][C]101[/C][C]6065[/C][C]5995.55847144361[/C][C]69.4415285563919[/C][/ROW]
[ROW][C]102[/C][C]6065[/C][C]6054.4075613418[/C][C]10.5924386581955[/C][/ROW]
[ROW][C]103[/C][C]6065[/C][C]6063.38425565998[/C][C]1.61574434002432[/C][/ROW]
[ROW][C]104[/C][C]6075[/C][C]6064.75353836292[/C][C]10.2464616370753[/C][/ROW]
[ROW][C]105[/C][C]6070[/C][C]6073.43703013729[/C][C]-3.43703013728828[/C][/ROW]
[ROW][C]106[/C][C]6085[/C][C]6070.52427605861[/C][C]14.4757239413875[/C][/ROW]
[ROW][C]107[/C][C]6095[/C][C]6082.79190894743[/C][C]12.2080910525692[/C][/ROW]
[ROW][C]108[/C][C]6095[/C][C]6093.13780804806[/C][C]1.86219195193826[/C][/ROW]
[ROW][C]109[/C][C]6065[/C][C]6094.71594585501[/C][C]-29.7159458550123[/C][/ROW]
[ROW][C]110[/C][C]6115[/C][C]6069.53279673105[/C][C]45.4672032689505[/C][/ROW]
[ROW][C]111[/C][C]6190[/C][C]6108.06454550183[/C][C]81.9354544981679[/C][/ROW]
[ROW][C]112[/C][C]6200[/C][C]6177.5017688443[/C][C]22.4982311557042[/C][/ROW]
[ROW][C]113[/C][C]6205[/C][C]6196.56817558039[/C][C]8.43182441960744[/C][/ROW]
[ROW][C]114[/C][C]6210[/C][C]6203.71383040094[/C][C]6.28616959905776[/C][/ROW]
[ROW][C]115[/C][C]6230[/C][C]6209.04112326936[/C][C]20.9588767306432[/C][/ROW]
[ROW][C]116[/C][C]6235[/C][C]6226.80298488917[/C][C]8.19701511083167[/C][/ROW]
[ROW][C]117[/C][C]6235[/C][C]6233.74964763094[/C][C]1.25035236906206[/C][/ROW]
[ROW][C]118[/C][C]6235[/C][C]6234.80927434857[/C][C]0.19072565143324[/C][/ROW]
[ROW][C]119[/C][C]6225[/C][C]6234.97090718184[/C][C]-9.97090718183608[/C][/ROW]
[ROW][C]120[/C][C]6225[/C][C]6226.52093746906[/C][C]-1.52093746905939[/C][/ROW]
[ROW][C]121[/C][C]6255[/C][C]6225.23200003195[/C][C]29.7679999680468[/C][/ROW]
[ROW][C]122[/C][C]6310[/C][C]6250.45926306356[/C][C]59.5407369364375[/C][/ROW]
[ROW][C]123[/C][C]6305[/C][C]6300.91780355683[/C][C]4.08219644316796[/C][/ROW]
[ROW][C]124[/C][C]6320[/C][C]6304.3773118721[/C][C]15.6226881278953[/C][/ROW]
[ROW][C]125[/C][C]6320[/C][C]6317.61695387312[/C][C]2.38304612687898[/C][/ROW]
[ROW][C]126[/C][C]6330[/C][C]6319.63649605008[/C][C]10.3635039499186[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298764&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298764&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
24760473030
348154755.4238743536959.5761256463102
449954805.91240545074189.087594549263
549604966.1570469728-6.15704697280125
650654960.93918068526104.060819314741
750755049.1268205319325.8731794680743
850855071.0533693294813.9466306705153
950955082.8726155236312.1273844763655
1051405093.1501188291746.8498811708314
1151405132.853635241597.14636475841326
1251405138.909911231711.09008876829466
1353655139.83372056102225.166279438978
1450855330.65369379917-245.65369379917
1551055122.47140561017-17.471405610172
1652005107.6650449096692.3349550903395
1752055185.9154547986719.0845452013264
1851605202.0888907752-42.0888907752014
1951405166.42013508337-26.4201350833719
2051505144.030061924475.96993807553372
2152105149.0893604421960.910639557811
2252055200.708842006214.29115799378815
2352005204.34543739508-4.34543739507535
2450955200.66284225027-105.662842250268
2551405111.1175480761228.8824519238842
2651655135.5943423674329.4056576325729
2751905160.5145338653729.4854661346344
2850505185.50236007426-135.502360074263
2950555070.66919416905-15.669194169046
3049855057.39014004313-72.3901400431323
3149954996.04221254638-1.04221254637832
3250104995.1589765187514.8410234812536
3350105007.7361870612.26381293900158
3450205009.6546835850510.3453164149541
3551705018.42195107448151.578048925522
3651555146.878660096488.12133990352413
3751555153.76119093951.23880906049726
3851505154.81103513625-4.81103513624657
3951305150.73386337574-20.7338633757427
4051705133.1626921313636.8373078686391
4151805164.3809283573815.6190716426227
4251755177.61750552282-2.61750552282138
4351855175.399267805089.60073219492187
4452005183.5355281059816.4644718940181
4552055197.488550263767.51144973623923
4652105203.854222074036.14577792596538
4751955209.06253826722-14.0625382672151
4851955197.14506473389-2.14506473389429
4952105195.3272028580614.6727971419414
5052055207.76184788985-2.76184788985483
5152355205.42128543229.5787145680006
5252355230.488136189354.51186381065054
5352055234.31177147678-29.3117714767805
5451955209.47114497312-14.4711449731221
5552005197.20739258812.79260741190046
5651655199.57402258674-34.5740225867439
5751705170.27383571518-0.273835715176574
5852555170.041770221384.9582297786965
5952405242.04068219482-2.04068219481996
6052655240.3112806042624.6887193957436
6152755261.2340439332913.7659560667144
6252855272.900175179912.0998248200958
6353205283.1543227108336.8456772891705
6453355314.3796517067120.6203482932879
6553355331.854623177973.14537682202536
6653255334.52021201525-9.52021201524803
6753555326.4521895453828.5478104546237
6853755350.6453877477524.3546122522466
6954455371.2850078088873.714992191115
7054155433.75569779056-18.755697790556
7154155417.86094765579-2.8609476557931
7254505415.4364018646834.5635981353189
7355355444.7277544048190.2722455951935
7455705521.2300953927348.7699046072721
7555905562.5607596252927.4392403747142
7655755585.8144862802-10.8144862802001
7755755576.64961493395-1.64961493395003
7855955575.2516281735319.7483718264739
7956505591.9876323070758.0123676929325
8056805641.1509372132438.8490627867595
8156655674.07406024821-9.07406024821285
8256755666.38413466068.61586533939953
8357005673.6857572551726.3142427448265
8457005695.986090630414.01390936959433
8557105699.3877282130610.6122717869393
8657455708.3812303636736.6187696363277
8757455739.41426363775.58573636230358
8857655744.147965619320.8520343807013
8957405761.81928235642-21.819282356425
9057255743.32825925251-18.3282592525102
9157655727.7957472405937.2042527594131
9259005759.3249554932140.675044506805
9359005878.5417773678921.4582226321136
9459005896.726815902963.27318409703548
9558905899.50071661028-9.50071661028232
9659355891.4492157646243.5507842353791
9759455928.3568713114516.6431286885481
9860005942.4612983991257.5387016008835
9960005991.223189064968.77681093503907
10059955998.66120701291-3.6612070129122
10160655995.5584714436169.4415285563919
10260656054.407561341810.5924386581955
10360656063.384255659981.61574434002432
10460756064.7535383629210.2464616370753
10560706073.43703013729-3.43703013728828
10660856070.5242760586114.4757239413875
10760956082.7919089474312.2080910525692
10860956093.137808048061.86219195193826
10960656094.71594585501-29.7159458550123
11061156069.5327967310545.4672032689505
11161906108.0645455018381.9354544981679
11262006177.501768844322.4982311557042
11362056196.568175580398.43182441960744
11462106203.713830400946.28616959905776
11562306209.0411232693620.9588767306432
11662356226.802984889178.19701511083167
11762356233.749647630941.25035236906206
11862356234.809274348570.19072565143324
11962256234.97090718184-9.97090718183608
12062256226.52093746906-1.52093746905939
12162556225.2320000319529.7679999680468
12263106250.4592630635659.5407369364375
12363056300.917803556834.08219644316796
12463206304.377311872115.6226881278953
12563206317.616953873122.38304612687898
12663306319.6364960500810.3635039499186







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1276328.419176792976230.966383467756425.8719701182
1286328.419176792976200.678203533816456.16015005213
1296328.419176792976176.305845452476480.53250813347
1306328.419176792976155.331988087946501.506365498
1316328.419176792976136.638353413476520.20000017247
1326328.419176792976119.611625352836537.22672823311
1336328.419176792976103.872293357166552.96606022878
1346328.419176792976089.166147171526567.67220641442
1356328.419176792976075.313030077116581.52532350883
1366328.419176792976062.179752913536594.65860067241
1376328.419176792976049.664553243936607.17380034201
1386328.419176792976037.687600468226619.15075311772

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 6328.41917679297 & 6230.96638346775 & 6425.8719701182 \tabularnewline
128 & 6328.41917679297 & 6200.67820353381 & 6456.16015005213 \tabularnewline
129 & 6328.41917679297 & 6176.30584545247 & 6480.53250813347 \tabularnewline
130 & 6328.41917679297 & 6155.33198808794 & 6501.506365498 \tabularnewline
131 & 6328.41917679297 & 6136.63835341347 & 6520.20000017247 \tabularnewline
132 & 6328.41917679297 & 6119.61162535283 & 6537.22672823311 \tabularnewline
133 & 6328.41917679297 & 6103.87229335716 & 6552.96606022878 \tabularnewline
134 & 6328.41917679297 & 6089.16614717152 & 6567.67220641442 \tabularnewline
135 & 6328.41917679297 & 6075.31303007711 & 6581.52532350883 \tabularnewline
136 & 6328.41917679297 & 6062.17975291353 & 6594.65860067241 \tabularnewline
137 & 6328.41917679297 & 6049.66455324393 & 6607.17380034201 \tabularnewline
138 & 6328.41917679297 & 6037.68760046822 & 6619.15075311772 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298764&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]6328.41917679297[/C][C]6230.96638346775[/C][C]6425.8719701182[/C][/ROW]
[ROW][C]128[/C][C]6328.41917679297[/C][C]6200.67820353381[/C][C]6456.16015005213[/C][/ROW]
[ROW][C]129[/C][C]6328.41917679297[/C][C]6176.30584545247[/C][C]6480.53250813347[/C][/ROW]
[ROW][C]130[/C][C]6328.41917679297[/C][C]6155.33198808794[/C][C]6501.506365498[/C][/ROW]
[ROW][C]131[/C][C]6328.41917679297[/C][C]6136.63835341347[/C][C]6520.20000017247[/C][/ROW]
[ROW][C]132[/C][C]6328.41917679297[/C][C]6119.61162535283[/C][C]6537.22672823311[/C][/ROW]
[ROW][C]133[/C][C]6328.41917679297[/C][C]6103.87229335716[/C][C]6552.96606022878[/C][/ROW]
[ROW][C]134[/C][C]6328.41917679297[/C][C]6089.16614717152[/C][C]6567.67220641442[/C][/ROW]
[ROW][C]135[/C][C]6328.41917679297[/C][C]6075.31303007711[/C][C]6581.52532350883[/C][/ROW]
[ROW][C]136[/C][C]6328.41917679297[/C][C]6062.17975291353[/C][C]6594.65860067241[/C][/ROW]
[ROW][C]137[/C][C]6328.41917679297[/C][C]6049.66455324393[/C][C]6607.17380034201[/C][/ROW]
[ROW][C]138[/C][C]6328.41917679297[/C][C]6037.68760046822[/C][C]6619.15075311772[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298764&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298764&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
1276328.419176792976230.966383467756425.8719701182
1286328.419176792976200.678203533816456.16015005213
1296328.419176792976176.305845452476480.53250813347
1306328.419176792976155.331988087946501.506365498
1316328.419176792976136.638353413476520.20000017247
1326328.419176792976119.611625352836537.22672823311
1336328.419176792976103.872293357166552.96606022878
1346328.419176792976089.166147171526567.67220641442
1356328.419176792976075.313030077116581.52532350883
1366328.419176792976062.179752913536594.65860067241
1376328.419176792976049.664553243936607.17380034201
1386328.419176792976037.687600468226619.15075311772



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
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')