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 computationFri, 16 Dec 2016 14:42:25 +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/16/t1481895781h55m3ygjebuhd1x.htm/, Retrieved Fri, 03 May 2024 03:46:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300262, Retrieved Fri, 03 May 2024 03:46:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Backward Selection] [] [2016-12-16 13:36:55] [683f400e1b95307fc738e729f07c4fce]
- RM      [Exponential Smoothing] [] [2016-12-16 13:42:25] [404ac5ee4f7301873f6a96ef36861981] [Current]
- RMP       [ARIMA Backward Selection] [] [2016-12-18 21:37:02] [683f400e1b95307fc738e729f07c4fce]
- RMP       [ARIMA Backward Selection] [] [2016-12-18 22:30:58] [683f400e1b95307fc738e729f07c4fce]
- RM          [ARIMA Forecasting] [] [2016-12-18 22:55:26] [683f400e1b95307fc738e729f07c4fce]
- R P           [ARIMA Forecasting] [] [2016-12-19 19:52:13] [683f400e1b95307fc738e729f07c4fce]
Feedback Forum

Post a new message
Dataseries X:
6086
6090.5
6103.5
6144
6190.5
6225
6272
6294
6366
6426
6477
6500
6538
6581
6615.5
6639.5
6651
6665
6684
6684.5
6666.5
6666.5
6651
6652
6647
6618.5
6604.5
6572
6556
6535
6515.5
6515
6489
6491
6483.5
6486.5
6486.5
6478.5
6461
6458.5
6446
6420
6397.5
6408
6408.5
6401.5
6408.5
6417.5
6406.5
6426.5
6431.5
6441.5
6446
6450
6468
6488.5
6512
6525
6551
6567.5
6560.5
6572
6574.5
6583.5
6589.5
6600
6601
6586
6590
6616
6641.5
6647
6662
6663.5
6663
6653.5
6642.5
6624.5
6605.5
6604.5
6575
6566
6562.5
6560.5
6502
6552.5
6542.5
6536
6516.5
6506.5
6491.5
6469.5
6445
6426
6355.5
6340
6307.5
6254.5
6230.5
6213
6212.5
6203
6204
6220.5
6205
6199.5
6184.5
6169
6140.5
6144.5
6145.5
6148.5
6145
6133
6138
6104.5
6090.5




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=300262&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=300262&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300262&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
alpha0.773880567221623
beta0.615392368500653
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.773880567221623 \tabularnewline
beta & 0.615392368500653 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300262&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]0.773880567221623[/C][/ROW]
[ROW][C]beta[/C][C]0.615392368500653[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300262&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300262&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
alpha0.773880567221623
beta0.615392368500653
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
36103.560958.5
461446110.1260264805833.8739735194231
56190.56161.0206257420929.4793742579086
662256222.553592985332.44640701467051
762726264.331349558897.66865044111
862946313.80261842046-19.8026184204609
963666332.5836032911333.4163967088734
1064266408.4639810685417.536018931457
1164776480.40620016281-3.40620016281264
1265006534.5194734351-34.5194734351044
1365386548.11522837241-10.1152283724077
1465816575.779675986895.22032401311299
156615.56617.79813770714-2.29813770713736
166639.56652.90374245645-13.4037424564458
1766516673.03153457916-22.0315345791632
1866656675.99014371156-10.990143711565
1966846682.259522485041.74047751496255
206684.56699.20976698584-14.7097669858431
216666.56696.42410464076-29.9241046407606
226666.56667.61330060611-1.11330060611272
2366516660.56841944194-9.56841944194002
2466526642.423420174399.57657982560522
2566476643.655116044963.34488395503831
266618.56641.65719176813-23.1571917681267
276604.56608.12144057018-3.62144057018213
2865726587.97935202636-15.9793520263574
2965566550.663706226965.33629377303532
3065356532.385182077612.61481792238828
316515.56513.245842051052.25415794895071
3265156494.9009149012920.0990850987146
3364896499.93782230695-10.9378223069452
3464916475.7468395741915.2531604258056
356483.56479.088717513354.41128248665336
366486.56476.1411068357210.3588931642762
376486.56482.729557785513.77044221448523
386478.56486.01497071338-7.51497071338235
3964616476.98789076384-15.9878907638449
406458.56453.789706421444.71029357856332
4164466448.85267585169-2.85267585168913
4264206436.70425130493-16.7042513049291
436397.56405.88112578739-8.38112578738856
4464086377.5076763854430.4923236145569
456408.56393.7393042068114.7606957931921
466401.56404.82616761228-3.3261676122811
476408.56400.331904193338.16809580666995
486417.56408.622803410218.87719658979495
496406.56421.69013978009-15.1901397800875
506426.56408.8980770945617.6019229054391
516431.56429.865897680841.63410231915714
526441.56439.254757421972.24524257803023
5364466450.18584149692-4.18584149691742
5464506454.14656860853-4.14656860852938
5564686456.1629256017511.8370743982487
566488.56476.1860039333412.313996066664
5765126502.442582566669.55741743333692
5865256531.11752490769-6.11752490769231
5965516544.74852272256.25147727749572
606567.56570.92885572327-3.42885572327305
616560.56587.98480821155-27.4848082115523
6265726573.33495611546-1.33495611546459
636574.56578.28620663125-3.7862066312473
646583.56579.537338222343.96266177765574
656589.56588.672347311550.827652688451963
6666006595.775395266464.22460473354022
6766016607.51920497979-6.51920497978972
6865866607.84388168593-21.843881685928
6965906585.906154412224.09384558778038
7066166585.9907840553730.0092159446331
716641.56620.4224100692821.07758993072
7266476657.98001982027-10.9800198202674
7366626665.4997415709-3.49974157089582
746663.56677.14158768725-13.6415876872534
7566636674.43818379541-11.4381837954061
766653.56667.99262847375-14.4926284737521
776642.56652.28132555859-9.78132555858519
786624.56635.55774802243-11.0577480224329
796605.56612.58022786928-7.08022786927631
806604.56589.3089441658615.1910558341378
8165756590.50756552333-15.5075655233304
8265666560.563794339865.43620566013578
836562.56549.4169403243413.083059675655
846560.56550.4185169255510.0814830744484
8565026553.89843919133-51.8984391913291
866552.56484.6971812467167.8028187532936
876542.56540.420828335532.07917166446987
8865366546.27240725472-10.2724072547207
896516.56537.67320603769-21.1732060376926
906506.56510.55455669895-4.05455669894764
916491.56494.75275454678-3.25275454678467
926469.56478.02235903864-8.52235903864221
9364456453.15522908519-8.15522908518778
9464266424.688365976931.31163402306811
956355.56404.17237710388-48.6723771038787
9663406321.7949909751418.205009024864
976307.56299.842671409617.65732859039235
986254.56273.37443458917-18.8744345891691
996230.56217.3850174169213.1149825830771
10062136192.3974704164220.602529583578
1016212.56183.0161432462529.4838567537545
10262036194.549300279848.45069972016245
10362046193.8298687021110.1701312978876
1046220.56199.2844971235621.2155028764373
10562056223.39059919852-18.3905991985175
1066199.56208.08796598214-8.58796598213848
1076184.56196.28146552382-11.7814655238171
10861696176.39277038797-7.39277038796536
1096140.56156.37966672058-15.8796667205834
1106144.56122.2361833266622.2638166733441
1116145.56128.2141248958217.2858751041795
1126148.56138.571962753659.9280372463536
11361456147.96384327268-2.9638432726797
11461336145.96744668437-12.9674466843699
11561386130.053836473367.94616352663797
1166104.56134.10914526411-29.6091452641122
1176090.56095.00006526543-4.50006526543348

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 6103.5 & 6095 & 8.5 \tabularnewline
4 & 6144 & 6110.12602648058 & 33.8739735194231 \tabularnewline
5 & 6190.5 & 6161.02062574209 & 29.4793742579086 \tabularnewline
6 & 6225 & 6222.55359298533 & 2.44640701467051 \tabularnewline
7 & 6272 & 6264.33134955889 & 7.66865044111 \tabularnewline
8 & 6294 & 6313.80261842046 & -19.8026184204609 \tabularnewline
9 & 6366 & 6332.58360329113 & 33.4163967088734 \tabularnewline
10 & 6426 & 6408.46398106854 & 17.536018931457 \tabularnewline
11 & 6477 & 6480.40620016281 & -3.40620016281264 \tabularnewline
12 & 6500 & 6534.5194734351 & -34.5194734351044 \tabularnewline
13 & 6538 & 6548.11522837241 & -10.1152283724077 \tabularnewline
14 & 6581 & 6575.77967598689 & 5.22032401311299 \tabularnewline
15 & 6615.5 & 6617.79813770714 & -2.29813770713736 \tabularnewline
16 & 6639.5 & 6652.90374245645 & -13.4037424564458 \tabularnewline
17 & 6651 & 6673.03153457916 & -22.0315345791632 \tabularnewline
18 & 6665 & 6675.99014371156 & -10.990143711565 \tabularnewline
19 & 6684 & 6682.25952248504 & 1.74047751496255 \tabularnewline
20 & 6684.5 & 6699.20976698584 & -14.7097669858431 \tabularnewline
21 & 6666.5 & 6696.42410464076 & -29.9241046407606 \tabularnewline
22 & 6666.5 & 6667.61330060611 & -1.11330060611272 \tabularnewline
23 & 6651 & 6660.56841944194 & -9.56841944194002 \tabularnewline
24 & 6652 & 6642.42342017439 & 9.57657982560522 \tabularnewline
25 & 6647 & 6643.65511604496 & 3.34488395503831 \tabularnewline
26 & 6618.5 & 6641.65719176813 & -23.1571917681267 \tabularnewline
27 & 6604.5 & 6608.12144057018 & -3.62144057018213 \tabularnewline
28 & 6572 & 6587.97935202636 & -15.9793520263574 \tabularnewline
29 & 6556 & 6550.66370622696 & 5.33629377303532 \tabularnewline
30 & 6535 & 6532.38518207761 & 2.61481792238828 \tabularnewline
31 & 6515.5 & 6513.24584205105 & 2.25415794895071 \tabularnewline
32 & 6515 & 6494.90091490129 & 20.0990850987146 \tabularnewline
33 & 6489 & 6499.93782230695 & -10.9378223069452 \tabularnewline
34 & 6491 & 6475.74683957419 & 15.2531604258056 \tabularnewline
35 & 6483.5 & 6479.08871751335 & 4.41128248665336 \tabularnewline
36 & 6486.5 & 6476.14110683572 & 10.3588931642762 \tabularnewline
37 & 6486.5 & 6482.72955778551 & 3.77044221448523 \tabularnewline
38 & 6478.5 & 6486.01497071338 & -7.51497071338235 \tabularnewline
39 & 6461 & 6476.98789076384 & -15.9878907638449 \tabularnewline
40 & 6458.5 & 6453.78970642144 & 4.71029357856332 \tabularnewline
41 & 6446 & 6448.85267585169 & -2.85267585168913 \tabularnewline
42 & 6420 & 6436.70425130493 & -16.7042513049291 \tabularnewline
43 & 6397.5 & 6405.88112578739 & -8.38112578738856 \tabularnewline
44 & 6408 & 6377.50767638544 & 30.4923236145569 \tabularnewline
45 & 6408.5 & 6393.73930420681 & 14.7606957931921 \tabularnewline
46 & 6401.5 & 6404.82616761228 & -3.3261676122811 \tabularnewline
47 & 6408.5 & 6400.33190419333 & 8.16809580666995 \tabularnewline
48 & 6417.5 & 6408.62280341021 & 8.87719658979495 \tabularnewline
49 & 6406.5 & 6421.69013978009 & -15.1901397800875 \tabularnewline
50 & 6426.5 & 6408.89807709456 & 17.6019229054391 \tabularnewline
51 & 6431.5 & 6429.86589768084 & 1.63410231915714 \tabularnewline
52 & 6441.5 & 6439.25475742197 & 2.24524257803023 \tabularnewline
53 & 6446 & 6450.18584149692 & -4.18584149691742 \tabularnewline
54 & 6450 & 6454.14656860853 & -4.14656860852938 \tabularnewline
55 & 6468 & 6456.16292560175 & 11.8370743982487 \tabularnewline
56 & 6488.5 & 6476.18600393334 & 12.313996066664 \tabularnewline
57 & 6512 & 6502.44258256666 & 9.55741743333692 \tabularnewline
58 & 6525 & 6531.11752490769 & -6.11752490769231 \tabularnewline
59 & 6551 & 6544.7485227225 & 6.25147727749572 \tabularnewline
60 & 6567.5 & 6570.92885572327 & -3.42885572327305 \tabularnewline
61 & 6560.5 & 6587.98480821155 & -27.4848082115523 \tabularnewline
62 & 6572 & 6573.33495611546 & -1.33495611546459 \tabularnewline
63 & 6574.5 & 6578.28620663125 & -3.7862066312473 \tabularnewline
64 & 6583.5 & 6579.53733822234 & 3.96266177765574 \tabularnewline
65 & 6589.5 & 6588.67234731155 & 0.827652688451963 \tabularnewline
66 & 6600 & 6595.77539526646 & 4.22460473354022 \tabularnewline
67 & 6601 & 6607.51920497979 & -6.51920497978972 \tabularnewline
68 & 6586 & 6607.84388168593 & -21.843881685928 \tabularnewline
69 & 6590 & 6585.90615441222 & 4.09384558778038 \tabularnewline
70 & 6616 & 6585.99078405537 & 30.0092159446331 \tabularnewline
71 & 6641.5 & 6620.42241006928 & 21.07758993072 \tabularnewline
72 & 6647 & 6657.98001982027 & -10.9800198202674 \tabularnewline
73 & 6662 & 6665.4997415709 & -3.49974157089582 \tabularnewline
74 & 6663.5 & 6677.14158768725 & -13.6415876872534 \tabularnewline
75 & 6663 & 6674.43818379541 & -11.4381837954061 \tabularnewline
76 & 6653.5 & 6667.99262847375 & -14.4926284737521 \tabularnewline
77 & 6642.5 & 6652.28132555859 & -9.78132555858519 \tabularnewline
78 & 6624.5 & 6635.55774802243 & -11.0577480224329 \tabularnewline
79 & 6605.5 & 6612.58022786928 & -7.08022786927631 \tabularnewline
80 & 6604.5 & 6589.30894416586 & 15.1910558341378 \tabularnewline
81 & 6575 & 6590.50756552333 & -15.5075655233304 \tabularnewline
82 & 6566 & 6560.56379433986 & 5.43620566013578 \tabularnewline
83 & 6562.5 & 6549.41694032434 & 13.083059675655 \tabularnewline
84 & 6560.5 & 6550.41851692555 & 10.0814830744484 \tabularnewline
85 & 6502 & 6553.89843919133 & -51.8984391913291 \tabularnewline
86 & 6552.5 & 6484.69718124671 & 67.8028187532936 \tabularnewline
87 & 6542.5 & 6540.42082833553 & 2.07917166446987 \tabularnewline
88 & 6536 & 6546.27240725472 & -10.2724072547207 \tabularnewline
89 & 6516.5 & 6537.67320603769 & -21.1732060376926 \tabularnewline
90 & 6506.5 & 6510.55455669895 & -4.05455669894764 \tabularnewline
91 & 6491.5 & 6494.75275454678 & -3.25275454678467 \tabularnewline
92 & 6469.5 & 6478.02235903864 & -8.52235903864221 \tabularnewline
93 & 6445 & 6453.15522908519 & -8.15522908518778 \tabularnewline
94 & 6426 & 6424.68836597693 & 1.31163402306811 \tabularnewline
95 & 6355.5 & 6404.17237710388 & -48.6723771038787 \tabularnewline
96 & 6340 & 6321.79499097514 & 18.205009024864 \tabularnewline
97 & 6307.5 & 6299.84267140961 & 7.65732859039235 \tabularnewline
98 & 6254.5 & 6273.37443458917 & -18.8744345891691 \tabularnewline
99 & 6230.5 & 6217.38501741692 & 13.1149825830771 \tabularnewline
100 & 6213 & 6192.39747041642 & 20.602529583578 \tabularnewline
101 & 6212.5 & 6183.01614324625 & 29.4838567537545 \tabularnewline
102 & 6203 & 6194.54930027984 & 8.45069972016245 \tabularnewline
103 & 6204 & 6193.82986870211 & 10.1701312978876 \tabularnewline
104 & 6220.5 & 6199.28449712356 & 21.2155028764373 \tabularnewline
105 & 6205 & 6223.39059919852 & -18.3905991985175 \tabularnewline
106 & 6199.5 & 6208.08796598214 & -8.58796598213848 \tabularnewline
107 & 6184.5 & 6196.28146552382 & -11.7814655238171 \tabularnewline
108 & 6169 & 6176.39277038797 & -7.39277038796536 \tabularnewline
109 & 6140.5 & 6156.37966672058 & -15.8796667205834 \tabularnewline
110 & 6144.5 & 6122.23618332666 & 22.2638166733441 \tabularnewline
111 & 6145.5 & 6128.21412489582 & 17.2858751041795 \tabularnewline
112 & 6148.5 & 6138.57196275365 & 9.9280372463536 \tabularnewline
113 & 6145 & 6147.96384327268 & -2.9638432726797 \tabularnewline
114 & 6133 & 6145.96744668437 & -12.9674466843699 \tabularnewline
115 & 6138 & 6130.05383647336 & 7.94616352663797 \tabularnewline
116 & 6104.5 & 6134.10914526411 & -29.6091452641122 \tabularnewline
117 & 6090.5 & 6095.00006526543 & -4.50006526543348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300262&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]6103.5[/C][C]6095[/C][C]8.5[/C][/ROW]
[ROW][C]4[/C][C]6144[/C][C]6110.12602648058[/C][C]33.8739735194231[/C][/ROW]
[ROW][C]5[/C][C]6190.5[/C][C]6161.02062574209[/C][C]29.4793742579086[/C][/ROW]
[ROW][C]6[/C][C]6225[/C][C]6222.55359298533[/C][C]2.44640701467051[/C][/ROW]
[ROW][C]7[/C][C]6272[/C][C]6264.33134955889[/C][C]7.66865044111[/C][/ROW]
[ROW][C]8[/C][C]6294[/C][C]6313.80261842046[/C][C]-19.8026184204609[/C][/ROW]
[ROW][C]9[/C][C]6366[/C][C]6332.58360329113[/C][C]33.4163967088734[/C][/ROW]
[ROW][C]10[/C][C]6426[/C][C]6408.46398106854[/C][C]17.536018931457[/C][/ROW]
[ROW][C]11[/C][C]6477[/C][C]6480.40620016281[/C][C]-3.40620016281264[/C][/ROW]
[ROW][C]12[/C][C]6500[/C][C]6534.5194734351[/C][C]-34.5194734351044[/C][/ROW]
[ROW][C]13[/C][C]6538[/C][C]6548.11522837241[/C][C]-10.1152283724077[/C][/ROW]
[ROW][C]14[/C][C]6581[/C][C]6575.77967598689[/C][C]5.22032401311299[/C][/ROW]
[ROW][C]15[/C][C]6615.5[/C][C]6617.79813770714[/C][C]-2.29813770713736[/C][/ROW]
[ROW][C]16[/C][C]6639.5[/C][C]6652.90374245645[/C][C]-13.4037424564458[/C][/ROW]
[ROW][C]17[/C][C]6651[/C][C]6673.03153457916[/C][C]-22.0315345791632[/C][/ROW]
[ROW][C]18[/C][C]6665[/C][C]6675.99014371156[/C][C]-10.990143711565[/C][/ROW]
[ROW][C]19[/C][C]6684[/C][C]6682.25952248504[/C][C]1.74047751496255[/C][/ROW]
[ROW][C]20[/C][C]6684.5[/C][C]6699.20976698584[/C][C]-14.7097669858431[/C][/ROW]
[ROW][C]21[/C][C]6666.5[/C][C]6696.42410464076[/C][C]-29.9241046407606[/C][/ROW]
[ROW][C]22[/C][C]6666.5[/C][C]6667.61330060611[/C][C]-1.11330060611272[/C][/ROW]
[ROW][C]23[/C][C]6651[/C][C]6660.56841944194[/C][C]-9.56841944194002[/C][/ROW]
[ROW][C]24[/C][C]6652[/C][C]6642.42342017439[/C][C]9.57657982560522[/C][/ROW]
[ROW][C]25[/C][C]6647[/C][C]6643.65511604496[/C][C]3.34488395503831[/C][/ROW]
[ROW][C]26[/C][C]6618.5[/C][C]6641.65719176813[/C][C]-23.1571917681267[/C][/ROW]
[ROW][C]27[/C][C]6604.5[/C][C]6608.12144057018[/C][C]-3.62144057018213[/C][/ROW]
[ROW][C]28[/C][C]6572[/C][C]6587.97935202636[/C][C]-15.9793520263574[/C][/ROW]
[ROW][C]29[/C][C]6556[/C][C]6550.66370622696[/C][C]5.33629377303532[/C][/ROW]
[ROW][C]30[/C][C]6535[/C][C]6532.38518207761[/C][C]2.61481792238828[/C][/ROW]
[ROW][C]31[/C][C]6515.5[/C][C]6513.24584205105[/C][C]2.25415794895071[/C][/ROW]
[ROW][C]32[/C][C]6515[/C][C]6494.90091490129[/C][C]20.0990850987146[/C][/ROW]
[ROW][C]33[/C][C]6489[/C][C]6499.93782230695[/C][C]-10.9378223069452[/C][/ROW]
[ROW][C]34[/C][C]6491[/C][C]6475.74683957419[/C][C]15.2531604258056[/C][/ROW]
[ROW][C]35[/C][C]6483.5[/C][C]6479.08871751335[/C][C]4.41128248665336[/C][/ROW]
[ROW][C]36[/C][C]6486.5[/C][C]6476.14110683572[/C][C]10.3588931642762[/C][/ROW]
[ROW][C]37[/C][C]6486.5[/C][C]6482.72955778551[/C][C]3.77044221448523[/C][/ROW]
[ROW][C]38[/C][C]6478.5[/C][C]6486.01497071338[/C][C]-7.51497071338235[/C][/ROW]
[ROW][C]39[/C][C]6461[/C][C]6476.98789076384[/C][C]-15.9878907638449[/C][/ROW]
[ROW][C]40[/C][C]6458.5[/C][C]6453.78970642144[/C][C]4.71029357856332[/C][/ROW]
[ROW][C]41[/C][C]6446[/C][C]6448.85267585169[/C][C]-2.85267585168913[/C][/ROW]
[ROW][C]42[/C][C]6420[/C][C]6436.70425130493[/C][C]-16.7042513049291[/C][/ROW]
[ROW][C]43[/C][C]6397.5[/C][C]6405.88112578739[/C][C]-8.38112578738856[/C][/ROW]
[ROW][C]44[/C][C]6408[/C][C]6377.50767638544[/C][C]30.4923236145569[/C][/ROW]
[ROW][C]45[/C][C]6408.5[/C][C]6393.73930420681[/C][C]14.7606957931921[/C][/ROW]
[ROW][C]46[/C][C]6401.5[/C][C]6404.82616761228[/C][C]-3.3261676122811[/C][/ROW]
[ROW][C]47[/C][C]6408.5[/C][C]6400.33190419333[/C][C]8.16809580666995[/C][/ROW]
[ROW][C]48[/C][C]6417.5[/C][C]6408.62280341021[/C][C]8.87719658979495[/C][/ROW]
[ROW][C]49[/C][C]6406.5[/C][C]6421.69013978009[/C][C]-15.1901397800875[/C][/ROW]
[ROW][C]50[/C][C]6426.5[/C][C]6408.89807709456[/C][C]17.6019229054391[/C][/ROW]
[ROW][C]51[/C][C]6431.5[/C][C]6429.86589768084[/C][C]1.63410231915714[/C][/ROW]
[ROW][C]52[/C][C]6441.5[/C][C]6439.25475742197[/C][C]2.24524257803023[/C][/ROW]
[ROW][C]53[/C][C]6446[/C][C]6450.18584149692[/C][C]-4.18584149691742[/C][/ROW]
[ROW][C]54[/C][C]6450[/C][C]6454.14656860853[/C][C]-4.14656860852938[/C][/ROW]
[ROW][C]55[/C][C]6468[/C][C]6456.16292560175[/C][C]11.8370743982487[/C][/ROW]
[ROW][C]56[/C][C]6488.5[/C][C]6476.18600393334[/C][C]12.313996066664[/C][/ROW]
[ROW][C]57[/C][C]6512[/C][C]6502.44258256666[/C][C]9.55741743333692[/C][/ROW]
[ROW][C]58[/C][C]6525[/C][C]6531.11752490769[/C][C]-6.11752490769231[/C][/ROW]
[ROW][C]59[/C][C]6551[/C][C]6544.7485227225[/C][C]6.25147727749572[/C][/ROW]
[ROW][C]60[/C][C]6567.5[/C][C]6570.92885572327[/C][C]-3.42885572327305[/C][/ROW]
[ROW][C]61[/C][C]6560.5[/C][C]6587.98480821155[/C][C]-27.4848082115523[/C][/ROW]
[ROW][C]62[/C][C]6572[/C][C]6573.33495611546[/C][C]-1.33495611546459[/C][/ROW]
[ROW][C]63[/C][C]6574.5[/C][C]6578.28620663125[/C][C]-3.7862066312473[/C][/ROW]
[ROW][C]64[/C][C]6583.5[/C][C]6579.53733822234[/C][C]3.96266177765574[/C][/ROW]
[ROW][C]65[/C][C]6589.5[/C][C]6588.67234731155[/C][C]0.827652688451963[/C][/ROW]
[ROW][C]66[/C][C]6600[/C][C]6595.77539526646[/C][C]4.22460473354022[/C][/ROW]
[ROW][C]67[/C][C]6601[/C][C]6607.51920497979[/C][C]-6.51920497978972[/C][/ROW]
[ROW][C]68[/C][C]6586[/C][C]6607.84388168593[/C][C]-21.843881685928[/C][/ROW]
[ROW][C]69[/C][C]6590[/C][C]6585.90615441222[/C][C]4.09384558778038[/C][/ROW]
[ROW][C]70[/C][C]6616[/C][C]6585.99078405537[/C][C]30.0092159446331[/C][/ROW]
[ROW][C]71[/C][C]6641.5[/C][C]6620.42241006928[/C][C]21.07758993072[/C][/ROW]
[ROW][C]72[/C][C]6647[/C][C]6657.98001982027[/C][C]-10.9800198202674[/C][/ROW]
[ROW][C]73[/C][C]6662[/C][C]6665.4997415709[/C][C]-3.49974157089582[/C][/ROW]
[ROW][C]74[/C][C]6663.5[/C][C]6677.14158768725[/C][C]-13.6415876872534[/C][/ROW]
[ROW][C]75[/C][C]6663[/C][C]6674.43818379541[/C][C]-11.4381837954061[/C][/ROW]
[ROW][C]76[/C][C]6653.5[/C][C]6667.99262847375[/C][C]-14.4926284737521[/C][/ROW]
[ROW][C]77[/C][C]6642.5[/C][C]6652.28132555859[/C][C]-9.78132555858519[/C][/ROW]
[ROW][C]78[/C][C]6624.5[/C][C]6635.55774802243[/C][C]-11.0577480224329[/C][/ROW]
[ROW][C]79[/C][C]6605.5[/C][C]6612.58022786928[/C][C]-7.08022786927631[/C][/ROW]
[ROW][C]80[/C][C]6604.5[/C][C]6589.30894416586[/C][C]15.1910558341378[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]6590.50756552333[/C][C]-15.5075655233304[/C][/ROW]
[ROW][C]82[/C][C]6566[/C][C]6560.56379433986[/C][C]5.43620566013578[/C][/ROW]
[ROW][C]83[/C][C]6562.5[/C][C]6549.41694032434[/C][C]13.083059675655[/C][/ROW]
[ROW][C]84[/C][C]6560.5[/C][C]6550.41851692555[/C][C]10.0814830744484[/C][/ROW]
[ROW][C]85[/C][C]6502[/C][C]6553.89843919133[/C][C]-51.8984391913291[/C][/ROW]
[ROW][C]86[/C][C]6552.5[/C][C]6484.69718124671[/C][C]67.8028187532936[/C][/ROW]
[ROW][C]87[/C][C]6542.5[/C][C]6540.42082833553[/C][C]2.07917166446987[/C][/ROW]
[ROW][C]88[/C][C]6536[/C][C]6546.27240725472[/C][C]-10.2724072547207[/C][/ROW]
[ROW][C]89[/C][C]6516.5[/C][C]6537.67320603769[/C][C]-21.1732060376926[/C][/ROW]
[ROW][C]90[/C][C]6506.5[/C][C]6510.55455669895[/C][C]-4.05455669894764[/C][/ROW]
[ROW][C]91[/C][C]6491.5[/C][C]6494.75275454678[/C][C]-3.25275454678467[/C][/ROW]
[ROW][C]92[/C][C]6469.5[/C][C]6478.02235903864[/C][C]-8.52235903864221[/C][/ROW]
[ROW][C]93[/C][C]6445[/C][C]6453.15522908519[/C][C]-8.15522908518778[/C][/ROW]
[ROW][C]94[/C][C]6426[/C][C]6424.68836597693[/C][C]1.31163402306811[/C][/ROW]
[ROW][C]95[/C][C]6355.5[/C][C]6404.17237710388[/C][C]-48.6723771038787[/C][/ROW]
[ROW][C]96[/C][C]6340[/C][C]6321.79499097514[/C][C]18.205009024864[/C][/ROW]
[ROW][C]97[/C][C]6307.5[/C][C]6299.84267140961[/C][C]7.65732859039235[/C][/ROW]
[ROW][C]98[/C][C]6254.5[/C][C]6273.37443458917[/C][C]-18.8744345891691[/C][/ROW]
[ROW][C]99[/C][C]6230.5[/C][C]6217.38501741692[/C][C]13.1149825830771[/C][/ROW]
[ROW][C]100[/C][C]6213[/C][C]6192.39747041642[/C][C]20.602529583578[/C][/ROW]
[ROW][C]101[/C][C]6212.5[/C][C]6183.01614324625[/C][C]29.4838567537545[/C][/ROW]
[ROW][C]102[/C][C]6203[/C][C]6194.54930027984[/C][C]8.45069972016245[/C][/ROW]
[ROW][C]103[/C][C]6204[/C][C]6193.82986870211[/C][C]10.1701312978876[/C][/ROW]
[ROW][C]104[/C][C]6220.5[/C][C]6199.28449712356[/C][C]21.2155028764373[/C][/ROW]
[ROW][C]105[/C][C]6205[/C][C]6223.39059919852[/C][C]-18.3905991985175[/C][/ROW]
[ROW][C]106[/C][C]6199.5[/C][C]6208.08796598214[/C][C]-8.58796598213848[/C][/ROW]
[ROW][C]107[/C][C]6184.5[/C][C]6196.28146552382[/C][C]-11.7814655238171[/C][/ROW]
[ROW][C]108[/C][C]6169[/C][C]6176.39277038797[/C][C]-7.39277038796536[/C][/ROW]
[ROW][C]109[/C][C]6140.5[/C][C]6156.37966672058[/C][C]-15.8796667205834[/C][/ROW]
[ROW][C]110[/C][C]6144.5[/C][C]6122.23618332666[/C][C]22.2638166733441[/C][/ROW]
[ROW][C]111[/C][C]6145.5[/C][C]6128.21412489582[/C][C]17.2858751041795[/C][/ROW]
[ROW][C]112[/C][C]6148.5[/C][C]6138.57196275365[/C][C]9.9280372463536[/C][/ROW]
[ROW][C]113[/C][C]6145[/C][C]6147.96384327268[/C][C]-2.9638432726797[/C][/ROW]
[ROW][C]114[/C][C]6133[/C][C]6145.96744668437[/C][C]-12.9674466843699[/C][/ROW]
[ROW][C]115[/C][C]6138[/C][C]6130.05383647336[/C][C]7.94616352663797[/C][/ROW]
[ROW][C]116[/C][C]6104.5[/C][C]6134.10914526411[/C][C]-29.6091452641122[/C][/ROW]
[ROW][C]117[/C][C]6090.5[/C][C]6095.00006526543[/C][C]-4.50006526543348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300262&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300262&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
36103.560958.5
461446110.1260264805833.8739735194231
56190.56161.0206257420929.4793742579086
662256222.553592985332.44640701467051
762726264.331349558897.66865044111
862946313.80261842046-19.8026184204609
963666332.5836032911333.4163967088734
1064266408.4639810685417.536018931457
1164776480.40620016281-3.40620016281264
1265006534.5194734351-34.5194734351044
1365386548.11522837241-10.1152283724077
1465816575.779675986895.22032401311299
156615.56617.79813770714-2.29813770713736
166639.56652.90374245645-13.4037424564458
1766516673.03153457916-22.0315345791632
1866656675.99014371156-10.990143711565
1966846682.259522485041.74047751496255
206684.56699.20976698584-14.7097669858431
216666.56696.42410464076-29.9241046407606
226666.56667.61330060611-1.11330060611272
2366516660.56841944194-9.56841944194002
2466526642.423420174399.57657982560522
2566476643.655116044963.34488395503831
266618.56641.65719176813-23.1571917681267
276604.56608.12144057018-3.62144057018213
2865726587.97935202636-15.9793520263574
2965566550.663706226965.33629377303532
3065356532.385182077612.61481792238828
316515.56513.245842051052.25415794895071
3265156494.9009149012920.0990850987146
3364896499.93782230695-10.9378223069452
3464916475.7468395741915.2531604258056
356483.56479.088717513354.41128248665336
366486.56476.1411068357210.3588931642762
376486.56482.729557785513.77044221448523
386478.56486.01497071338-7.51497071338235
3964616476.98789076384-15.9878907638449
406458.56453.789706421444.71029357856332
4164466448.85267585169-2.85267585168913
4264206436.70425130493-16.7042513049291
436397.56405.88112578739-8.38112578738856
4464086377.5076763854430.4923236145569
456408.56393.7393042068114.7606957931921
466401.56404.82616761228-3.3261676122811
476408.56400.331904193338.16809580666995
486417.56408.622803410218.87719658979495
496406.56421.69013978009-15.1901397800875
506426.56408.8980770945617.6019229054391
516431.56429.865897680841.63410231915714
526441.56439.254757421972.24524257803023
5364466450.18584149692-4.18584149691742
5464506454.14656860853-4.14656860852938
5564686456.1629256017511.8370743982487
566488.56476.1860039333412.313996066664
5765126502.442582566669.55741743333692
5865256531.11752490769-6.11752490769231
5965516544.74852272256.25147727749572
606567.56570.92885572327-3.42885572327305
616560.56587.98480821155-27.4848082115523
6265726573.33495611546-1.33495611546459
636574.56578.28620663125-3.7862066312473
646583.56579.537338222343.96266177765574
656589.56588.672347311550.827652688451963
6666006595.775395266464.22460473354022
6766016607.51920497979-6.51920497978972
6865866607.84388168593-21.843881685928
6965906585.906154412224.09384558778038
7066166585.9907840553730.0092159446331
716641.56620.4224100692821.07758993072
7266476657.98001982027-10.9800198202674
7366626665.4997415709-3.49974157089582
746663.56677.14158768725-13.6415876872534
7566636674.43818379541-11.4381837954061
766653.56667.99262847375-14.4926284737521
776642.56652.28132555859-9.78132555858519
786624.56635.55774802243-11.0577480224329
796605.56612.58022786928-7.08022786927631
806604.56589.3089441658615.1910558341378
8165756590.50756552333-15.5075655233304
8265666560.563794339865.43620566013578
836562.56549.4169403243413.083059675655
846560.56550.4185169255510.0814830744484
8565026553.89843919133-51.8984391913291
866552.56484.6971812467167.8028187532936
876542.56540.420828335532.07917166446987
8865366546.27240725472-10.2724072547207
896516.56537.67320603769-21.1732060376926
906506.56510.55455669895-4.05455669894764
916491.56494.75275454678-3.25275454678467
926469.56478.02235903864-8.52235903864221
9364456453.15522908519-8.15522908518778
9464266424.688365976931.31163402306811
956355.56404.17237710388-48.6723771038787
9663406321.7949909751418.205009024864
976307.56299.842671409617.65732859039235
986254.56273.37443458917-18.8744345891691
996230.56217.3850174169213.1149825830771
10062136192.3974704164220.602529583578
1016212.56183.0161432462529.4838567537545
10262036194.549300279848.45069972016245
10362046193.8298687021110.1701312978876
1046220.56199.2844971235621.2155028764373
10562056223.39059919852-18.3905991985175
1066199.56208.08796598214-8.58796598213848
1076184.56196.28146552382-11.7814655238171
10861696176.39277038797-7.39277038796536
1096140.56156.37966672058-15.8796667205834
1106144.56122.2361833266622.2638166733441
1116145.56128.2141248958217.2858751041795
1126148.56138.571962753659.9280372463536
11361456147.96384327268-2.9638432726797
11461336145.96744668437-12.9674466843699
11561386130.053836473367.94616352663797
1166104.56134.10914526411-29.6091452641122
1176090.56095.00006526543-4.50006526543348







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1186073.179302378136039.996859315356106.3617454409
1196054.841052550976001.72009704256107.96200805943
1206036.502802723815958.3785892936114.62701615461
1216018.164552896655911.182298455126125.14680733817
1225999.826303069495860.733802030116138.91880410886
1235981.488053242335807.397807186446155.57829929822
1245963.149803415175751.426563424246174.8730434061
1255944.811553588015693.009783549776196.61332362625
1265926.473303760855632.298058871316220.64854865039
1275908.135053933695569.415379137296246.85472873009
1285889.796804106535504.466531006826275.12707720624
1295871.458554279375437.541815339526305.37529321923

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
118 & 6073.17930237813 & 6039.99685931535 & 6106.3617454409 \tabularnewline
119 & 6054.84105255097 & 6001.7200970425 & 6107.96200805943 \tabularnewline
120 & 6036.50280272381 & 5958.378589293 & 6114.62701615461 \tabularnewline
121 & 6018.16455289665 & 5911.18229845512 & 6125.14680733817 \tabularnewline
122 & 5999.82630306949 & 5860.73380203011 & 6138.91880410886 \tabularnewline
123 & 5981.48805324233 & 5807.39780718644 & 6155.57829929822 \tabularnewline
124 & 5963.14980341517 & 5751.42656342424 & 6174.8730434061 \tabularnewline
125 & 5944.81155358801 & 5693.00978354977 & 6196.61332362625 \tabularnewline
126 & 5926.47330376085 & 5632.29805887131 & 6220.64854865039 \tabularnewline
127 & 5908.13505393369 & 5569.41537913729 & 6246.85472873009 \tabularnewline
128 & 5889.79680410653 & 5504.46653100682 & 6275.12707720624 \tabularnewline
129 & 5871.45855427937 & 5437.54181533952 & 6305.37529321923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300262&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]118[/C][C]6073.17930237813[/C][C]6039.99685931535[/C][C]6106.3617454409[/C][/ROW]
[ROW][C]119[/C][C]6054.84105255097[/C][C]6001.7200970425[/C][C]6107.96200805943[/C][/ROW]
[ROW][C]120[/C][C]6036.50280272381[/C][C]5958.378589293[/C][C]6114.62701615461[/C][/ROW]
[ROW][C]121[/C][C]6018.16455289665[/C][C]5911.18229845512[/C][C]6125.14680733817[/C][/ROW]
[ROW][C]122[/C][C]5999.82630306949[/C][C]5860.73380203011[/C][C]6138.91880410886[/C][/ROW]
[ROW][C]123[/C][C]5981.48805324233[/C][C]5807.39780718644[/C][C]6155.57829929822[/C][/ROW]
[ROW][C]124[/C][C]5963.14980341517[/C][C]5751.42656342424[/C][C]6174.8730434061[/C][/ROW]
[ROW][C]125[/C][C]5944.81155358801[/C][C]5693.00978354977[/C][C]6196.61332362625[/C][/ROW]
[ROW][C]126[/C][C]5926.47330376085[/C][C]5632.29805887131[/C][C]6220.64854865039[/C][/ROW]
[ROW][C]127[/C][C]5908.13505393369[/C][C]5569.41537913729[/C][C]6246.85472873009[/C][/ROW]
[ROW][C]128[/C][C]5889.79680410653[/C][C]5504.46653100682[/C][C]6275.12707720624[/C][/ROW]
[ROW][C]129[/C][C]5871.45855427937[/C][C]5437.54181533952[/C][C]6305.37529321923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300262&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300262&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
1186073.179302378136039.996859315356106.3617454409
1196054.841052550976001.72009704256107.96200805943
1206036.502802723815958.3785892936114.62701615461
1216018.164552896655911.182298455126125.14680733817
1225999.826303069495860.733802030116138.91880410886
1235981.488053242335807.397807186446155.57829929822
1245963.149803415175751.426563424246174.8730434061
1255944.811553588015693.009783549776196.61332362625
1265926.473303760855632.298058871316220.64854865039
1275908.135053933695569.415379137296246.85472873009
1285889.796804106535504.466531006826275.12707720624
1295871.458554279375437.541815339526305.37529321923



Parameters (Session):
par1 = FALSE ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 1 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 0 ;
Parameters (R input):
par1 = 1 ; par2 = Double ; 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')