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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 computationWed, 21 Dec 2016 10:52:30 +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/21/t1482314037wmf3faqeg64zfzl.htm/, Retrieved Mon, 06 May 2024 16:29:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301959, Retrieved Mon, 06 May 2024 16:29:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact50
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponentional Smo...] [2016-12-21 09:52:30] [dc40abf8f837a2863894b5e0c13dd016] [Current]
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Dataseries X:
4998
4480
4824
4814
4602
4499
4594
4600
4507
4606
4503
4801
4564
4142
4818
4408
4496
4587
4656
4799
4652
4638
4650
5185
5208
4477
4976
4670
4842
4713
4804
4996
4574
4841
4688
4766
4994
4514
4766
4642
4806
4645
4784
4979
4530
4942
4651
5150
4987
4532
5046
4783
4958
4815
5055
5152
4773
5147
4866
5311
5172
4734
5011
4957
4968
5049
5305
5067
5001
5252
4903
5408
5395
5150
5460
4968
5021
5118
5175
5420
5121
5450
5286
5693
5353
5017
5577
4987
5129
5249
5100
5382
5039
5364
5193
5846
5259
4809
5297
5034
5243
5150
5296
5596
4954
5250
5009
5113
5237
4575
5026
4842
5019
5063
5261
5327
5054
5269
5019
5315
5274
4899
5216
5029
5110
5093




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=301959&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=301959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301959&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
alpha0.428164171474519
beta0.415100477961583
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.428164171474519 \tabularnewline
beta & 0.415100477961583 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301959&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]0.428164171474519[/C][/ROW]
[ROW][C]beta[/C][C]0.415100477961583[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301959&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
alpha0.428164171474519
beta0.415100477961583
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
348243962862
448143966.28176902907847.71823097093
546024115.1145342073486.885465792697
644994195.98635227913303.013647720872
745944251.98581045808342.014189541923
846004385.47047929751214.529520702487
945074502.499359428364.50064057164218
1046064530.4013021468175.5986978531919
1145034602.18112933083-99.1811293308265
1248014581.49892022319219.501079776815
1345644736.27719496517-172.277194965174
1441424692.69102493727-550.691024937274
1548184389.20666054275428.793339457252
1644084581.31234178964-173.312341789636
1744964484.8149406842511.1850593157533
1845874469.30064994224117.699350057756
1946564520.3108033479135.689196652102
2047994603.13976178105195.86023821895
2146524746.54227018717-94.5422701871657
2246384748.80172257311-110.801722573115
2346504724.40654217816-74.4065421781588
2451854702.37011356826482.629886431735
2552085004.61509170903203.384908290968
2644775223.44520924149-746.445209241486
2749764902.9255343477273.0744656522811
2846704946.28243104052-276.282431040522
2948424790.9532267035651.0467732964407
3047134784.8472617763-71.8472617762964
3148044713.3529775232490.6470224767645
3249964727.5437236073268.4562763927
3345744865.57906490012-291.579064900118
3448414712.00465512243128.995344877568
3546884761.43163032736-73.431630327359
3647664711.1355391417354.8644608582727
3749944725.52236138656268.47763861344
3845144879.08753295841-365.087532958413
3947664696.4953698733769.5046301266257
4046424712.33313822235-70.333138222345
4148064655.79699464947150.20300535053
4246454720.38227947828-75.3822794782818
4347844674.98224834249109.017751657508
4449794727.91155437291251.088445627087
4545304886.29668012934-356.296680129339
4649424721.29623725695220.703762743046
4746514842.57264500019-191.57264500019
4851504753.27863927286396.721360727141
4949874986.380793645540.619206354459493
5045325049.99624953081-517.996249530814
5150464799.4950781557246.504921844302
5247834920.13752120225-137.137521202255
5349584852.14440582275105.855594177248
5448154907.00607308632-92.0060730863197
5550554860.79811813808194.201881861924
5651524971.64987931727180.350120682732
5747735108.62464740059-335.624647400586
5851474965.0265511081181.973448891896
5948665075.38776561741-209.387765617414
6053114980.96740112406330.032598875939
6151725176.16458414055-4.16458414055251
6247345227.53033084383-493.530330843832
6350114981.6514837029829.3485162970173
6449574964.86677054731-7.86677054731354
6549684930.7496347400937.2503652599089
6650494922.57059034352126.429409656479
6753054975.04526225728329.954737742719
6850675173.30542336631-106.30542336631
6950015165.88082866408-164.880828664081
7052525104.07188442545147.928115574548
7149035202.48795705413-299.487957054128
7254085056.10815795659351.891842043408
7353955251.16799339988143.832006600121
7451505382.70749004335-232.707490043354
7554605311.66689474223148.333105257774
7649685430.13764393695-462.137643936954
7750215205.09043464979-184.090434649786
7851185066.3744732939451.6255267060642
7951755037.75910558103137.24089441897
8054205070.19315314789349.806846852107
8151215255.81189956923-134.811899569235
8254505209.97398770397240.026012296033
8352865367.2883395391-81.2883395391018
8456935372.57992788912320.420072110876
8553535606.81729409992-253.817294099918
8650175550.07555404232-533.075554042323
8755775279.0213000461297.978699953901
8849875416.75479984389-429.754799843887
8951295166.51807289598-37.5180728959822
9052495077.55492883854171.445071161464
9151005108.533446266-8.53344626599846
9253825060.93495165861321.065048341388
9350395211.52198439497-172.521984394967
9453645120.11020313852243.889796861483
9551935250.3378418081-57.3378418081002
9658465241.39987745084604.600122549159
9752595623.33630958623-364.336309586234
9848095525.6549649447-716.6549649447
9952975149.75148246913147.248517530868
10050345169.91116748587-135.911167485867
10152435044.6763721749198.323627825097
10251505097.7972279630352.2027720369697
10352965097.63242742096198.367572579039
10455965195.30625484029400.693745159705
10549545450.82466132686-496.824661326864
10652505233.7566234055116.2433765944879
10750095239.25289088898-230.252890888979
10851135098.2851766329714.7148233670332
10952375064.8191433012172.180856698801
11045755129.37632571849-554.376325718489
11150264784.31781096096241.682189039044
11248424823.0574845500118.9425154499886
11350194769.79468543927249.205314560726
11450634859.41371462868203.586285371315
11552614965.68393505801295.31606494199
11653275163.71642504948163.283574950524
11750545334.23791127142-280.237911271419
11852695265.052380946573.94761905342784
11950195318.24652764122-299.246527641221
12053155188.4383735634126.561626436601
12152745263.4399586774610.5600413225393
12248995290.65066952323-391.650669523229
12352165076.04063983745139.959360162553
12450295113.922116406-84.922116406
12551105040.4240962813869.5759037186199
12650935045.4423984728847.5576015271154

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 4824 & 3962 & 862 \tabularnewline
4 & 4814 & 3966.28176902907 & 847.71823097093 \tabularnewline
5 & 4602 & 4115.1145342073 & 486.885465792697 \tabularnewline
6 & 4499 & 4195.98635227913 & 303.013647720872 \tabularnewline
7 & 4594 & 4251.98581045808 & 342.014189541923 \tabularnewline
8 & 4600 & 4385.47047929751 & 214.529520702487 \tabularnewline
9 & 4507 & 4502.49935942836 & 4.50064057164218 \tabularnewline
10 & 4606 & 4530.40130214681 & 75.5986978531919 \tabularnewline
11 & 4503 & 4602.18112933083 & -99.1811293308265 \tabularnewline
12 & 4801 & 4581.49892022319 & 219.501079776815 \tabularnewline
13 & 4564 & 4736.27719496517 & -172.277194965174 \tabularnewline
14 & 4142 & 4692.69102493727 & -550.691024937274 \tabularnewline
15 & 4818 & 4389.20666054275 & 428.793339457252 \tabularnewline
16 & 4408 & 4581.31234178964 & -173.312341789636 \tabularnewline
17 & 4496 & 4484.81494068425 & 11.1850593157533 \tabularnewline
18 & 4587 & 4469.30064994224 & 117.699350057756 \tabularnewline
19 & 4656 & 4520.3108033479 & 135.689196652102 \tabularnewline
20 & 4799 & 4603.13976178105 & 195.86023821895 \tabularnewline
21 & 4652 & 4746.54227018717 & -94.5422701871657 \tabularnewline
22 & 4638 & 4748.80172257311 & -110.801722573115 \tabularnewline
23 & 4650 & 4724.40654217816 & -74.4065421781588 \tabularnewline
24 & 5185 & 4702.37011356826 & 482.629886431735 \tabularnewline
25 & 5208 & 5004.61509170903 & 203.384908290968 \tabularnewline
26 & 4477 & 5223.44520924149 & -746.445209241486 \tabularnewline
27 & 4976 & 4902.92553434772 & 73.0744656522811 \tabularnewline
28 & 4670 & 4946.28243104052 & -276.282431040522 \tabularnewline
29 & 4842 & 4790.95322670356 & 51.0467732964407 \tabularnewline
30 & 4713 & 4784.8472617763 & -71.8472617762964 \tabularnewline
31 & 4804 & 4713.35297752324 & 90.6470224767645 \tabularnewline
32 & 4996 & 4727.5437236073 & 268.4562763927 \tabularnewline
33 & 4574 & 4865.57906490012 & -291.579064900118 \tabularnewline
34 & 4841 & 4712.00465512243 & 128.995344877568 \tabularnewline
35 & 4688 & 4761.43163032736 & -73.431630327359 \tabularnewline
36 & 4766 & 4711.13553914173 & 54.8644608582727 \tabularnewline
37 & 4994 & 4725.52236138656 & 268.47763861344 \tabularnewline
38 & 4514 & 4879.08753295841 & -365.087532958413 \tabularnewline
39 & 4766 & 4696.49536987337 & 69.5046301266257 \tabularnewline
40 & 4642 & 4712.33313822235 & -70.333138222345 \tabularnewline
41 & 4806 & 4655.79699464947 & 150.20300535053 \tabularnewline
42 & 4645 & 4720.38227947828 & -75.3822794782818 \tabularnewline
43 & 4784 & 4674.98224834249 & 109.017751657508 \tabularnewline
44 & 4979 & 4727.91155437291 & 251.088445627087 \tabularnewline
45 & 4530 & 4886.29668012934 & -356.296680129339 \tabularnewline
46 & 4942 & 4721.29623725695 & 220.703762743046 \tabularnewline
47 & 4651 & 4842.57264500019 & -191.57264500019 \tabularnewline
48 & 5150 & 4753.27863927286 & 396.721360727141 \tabularnewline
49 & 4987 & 4986.38079364554 & 0.619206354459493 \tabularnewline
50 & 4532 & 5049.99624953081 & -517.996249530814 \tabularnewline
51 & 5046 & 4799.4950781557 & 246.504921844302 \tabularnewline
52 & 4783 & 4920.13752120225 & -137.137521202255 \tabularnewline
53 & 4958 & 4852.14440582275 & 105.855594177248 \tabularnewline
54 & 4815 & 4907.00607308632 & -92.0060730863197 \tabularnewline
55 & 5055 & 4860.79811813808 & 194.201881861924 \tabularnewline
56 & 5152 & 4971.64987931727 & 180.350120682732 \tabularnewline
57 & 4773 & 5108.62464740059 & -335.624647400586 \tabularnewline
58 & 5147 & 4965.0265511081 & 181.973448891896 \tabularnewline
59 & 4866 & 5075.38776561741 & -209.387765617414 \tabularnewline
60 & 5311 & 4980.96740112406 & 330.032598875939 \tabularnewline
61 & 5172 & 5176.16458414055 & -4.16458414055251 \tabularnewline
62 & 4734 & 5227.53033084383 & -493.530330843832 \tabularnewline
63 & 5011 & 4981.65148370298 & 29.3485162970173 \tabularnewline
64 & 4957 & 4964.86677054731 & -7.86677054731354 \tabularnewline
65 & 4968 & 4930.74963474009 & 37.2503652599089 \tabularnewline
66 & 5049 & 4922.57059034352 & 126.429409656479 \tabularnewline
67 & 5305 & 4975.04526225728 & 329.954737742719 \tabularnewline
68 & 5067 & 5173.30542336631 & -106.30542336631 \tabularnewline
69 & 5001 & 5165.88082866408 & -164.880828664081 \tabularnewline
70 & 5252 & 5104.07188442545 & 147.928115574548 \tabularnewline
71 & 4903 & 5202.48795705413 & -299.487957054128 \tabularnewline
72 & 5408 & 5056.10815795659 & 351.891842043408 \tabularnewline
73 & 5395 & 5251.16799339988 & 143.832006600121 \tabularnewline
74 & 5150 & 5382.70749004335 & -232.707490043354 \tabularnewline
75 & 5460 & 5311.66689474223 & 148.333105257774 \tabularnewline
76 & 4968 & 5430.13764393695 & -462.137643936954 \tabularnewline
77 & 5021 & 5205.09043464979 & -184.090434649786 \tabularnewline
78 & 5118 & 5066.37447329394 & 51.6255267060642 \tabularnewline
79 & 5175 & 5037.75910558103 & 137.24089441897 \tabularnewline
80 & 5420 & 5070.19315314789 & 349.806846852107 \tabularnewline
81 & 5121 & 5255.81189956923 & -134.811899569235 \tabularnewline
82 & 5450 & 5209.97398770397 & 240.026012296033 \tabularnewline
83 & 5286 & 5367.2883395391 & -81.2883395391018 \tabularnewline
84 & 5693 & 5372.57992788912 & 320.420072110876 \tabularnewline
85 & 5353 & 5606.81729409992 & -253.817294099918 \tabularnewline
86 & 5017 & 5550.07555404232 & -533.075554042323 \tabularnewline
87 & 5577 & 5279.0213000461 & 297.978699953901 \tabularnewline
88 & 4987 & 5416.75479984389 & -429.754799843887 \tabularnewline
89 & 5129 & 5166.51807289598 & -37.5180728959822 \tabularnewline
90 & 5249 & 5077.55492883854 & 171.445071161464 \tabularnewline
91 & 5100 & 5108.533446266 & -8.53344626599846 \tabularnewline
92 & 5382 & 5060.93495165861 & 321.065048341388 \tabularnewline
93 & 5039 & 5211.52198439497 & -172.521984394967 \tabularnewline
94 & 5364 & 5120.11020313852 & 243.889796861483 \tabularnewline
95 & 5193 & 5250.3378418081 & -57.3378418081002 \tabularnewline
96 & 5846 & 5241.39987745084 & 604.600122549159 \tabularnewline
97 & 5259 & 5623.33630958623 & -364.336309586234 \tabularnewline
98 & 4809 & 5525.6549649447 & -716.6549649447 \tabularnewline
99 & 5297 & 5149.75148246913 & 147.248517530868 \tabularnewline
100 & 5034 & 5169.91116748587 & -135.911167485867 \tabularnewline
101 & 5243 & 5044.6763721749 & 198.323627825097 \tabularnewline
102 & 5150 & 5097.79722796303 & 52.2027720369697 \tabularnewline
103 & 5296 & 5097.63242742096 & 198.367572579039 \tabularnewline
104 & 5596 & 5195.30625484029 & 400.693745159705 \tabularnewline
105 & 4954 & 5450.82466132686 & -496.824661326864 \tabularnewline
106 & 5250 & 5233.75662340551 & 16.2433765944879 \tabularnewline
107 & 5009 & 5239.25289088898 & -230.252890888979 \tabularnewline
108 & 5113 & 5098.28517663297 & 14.7148233670332 \tabularnewline
109 & 5237 & 5064.8191433012 & 172.180856698801 \tabularnewline
110 & 4575 & 5129.37632571849 & -554.376325718489 \tabularnewline
111 & 5026 & 4784.31781096096 & 241.682189039044 \tabularnewline
112 & 4842 & 4823.05748455001 & 18.9425154499886 \tabularnewline
113 & 5019 & 4769.79468543927 & 249.205314560726 \tabularnewline
114 & 5063 & 4859.41371462868 & 203.586285371315 \tabularnewline
115 & 5261 & 4965.68393505801 & 295.31606494199 \tabularnewline
116 & 5327 & 5163.71642504948 & 163.283574950524 \tabularnewline
117 & 5054 & 5334.23791127142 & -280.237911271419 \tabularnewline
118 & 5269 & 5265.05238094657 & 3.94761905342784 \tabularnewline
119 & 5019 & 5318.24652764122 & -299.246527641221 \tabularnewline
120 & 5315 & 5188.4383735634 & 126.561626436601 \tabularnewline
121 & 5274 & 5263.43995867746 & 10.5600413225393 \tabularnewline
122 & 4899 & 5290.65066952323 & -391.650669523229 \tabularnewline
123 & 5216 & 5076.04063983745 & 139.959360162553 \tabularnewline
124 & 5029 & 5113.922116406 & -84.922116406 \tabularnewline
125 & 5110 & 5040.42409628138 & 69.5759037186199 \tabularnewline
126 & 5093 & 5045.44239847288 & 47.5576015271154 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301959&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]4824[/C][C]3962[/C][C]862[/C][/ROW]
[ROW][C]4[/C][C]4814[/C][C]3966.28176902907[/C][C]847.71823097093[/C][/ROW]
[ROW][C]5[/C][C]4602[/C][C]4115.1145342073[/C][C]486.885465792697[/C][/ROW]
[ROW][C]6[/C][C]4499[/C][C]4195.98635227913[/C][C]303.013647720872[/C][/ROW]
[ROW][C]7[/C][C]4594[/C][C]4251.98581045808[/C][C]342.014189541923[/C][/ROW]
[ROW][C]8[/C][C]4600[/C][C]4385.47047929751[/C][C]214.529520702487[/C][/ROW]
[ROW][C]9[/C][C]4507[/C][C]4502.49935942836[/C][C]4.50064057164218[/C][/ROW]
[ROW][C]10[/C][C]4606[/C][C]4530.40130214681[/C][C]75.5986978531919[/C][/ROW]
[ROW][C]11[/C][C]4503[/C][C]4602.18112933083[/C][C]-99.1811293308265[/C][/ROW]
[ROW][C]12[/C][C]4801[/C][C]4581.49892022319[/C][C]219.501079776815[/C][/ROW]
[ROW][C]13[/C][C]4564[/C][C]4736.27719496517[/C][C]-172.277194965174[/C][/ROW]
[ROW][C]14[/C][C]4142[/C][C]4692.69102493727[/C][C]-550.691024937274[/C][/ROW]
[ROW][C]15[/C][C]4818[/C][C]4389.20666054275[/C][C]428.793339457252[/C][/ROW]
[ROW][C]16[/C][C]4408[/C][C]4581.31234178964[/C][C]-173.312341789636[/C][/ROW]
[ROW][C]17[/C][C]4496[/C][C]4484.81494068425[/C][C]11.1850593157533[/C][/ROW]
[ROW][C]18[/C][C]4587[/C][C]4469.30064994224[/C][C]117.699350057756[/C][/ROW]
[ROW][C]19[/C][C]4656[/C][C]4520.3108033479[/C][C]135.689196652102[/C][/ROW]
[ROW][C]20[/C][C]4799[/C][C]4603.13976178105[/C][C]195.86023821895[/C][/ROW]
[ROW][C]21[/C][C]4652[/C][C]4746.54227018717[/C][C]-94.5422701871657[/C][/ROW]
[ROW][C]22[/C][C]4638[/C][C]4748.80172257311[/C][C]-110.801722573115[/C][/ROW]
[ROW][C]23[/C][C]4650[/C][C]4724.40654217816[/C][C]-74.4065421781588[/C][/ROW]
[ROW][C]24[/C][C]5185[/C][C]4702.37011356826[/C][C]482.629886431735[/C][/ROW]
[ROW][C]25[/C][C]5208[/C][C]5004.61509170903[/C][C]203.384908290968[/C][/ROW]
[ROW][C]26[/C][C]4477[/C][C]5223.44520924149[/C][C]-746.445209241486[/C][/ROW]
[ROW][C]27[/C][C]4976[/C][C]4902.92553434772[/C][C]73.0744656522811[/C][/ROW]
[ROW][C]28[/C][C]4670[/C][C]4946.28243104052[/C][C]-276.282431040522[/C][/ROW]
[ROW][C]29[/C][C]4842[/C][C]4790.95322670356[/C][C]51.0467732964407[/C][/ROW]
[ROW][C]30[/C][C]4713[/C][C]4784.8472617763[/C][C]-71.8472617762964[/C][/ROW]
[ROW][C]31[/C][C]4804[/C][C]4713.35297752324[/C][C]90.6470224767645[/C][/ROW]
[ROW][C]32[/C][C]4996[/C][C]4727.5437236073[/C][C]268.4562763927[/C][/ROW]
[ROW][C]33[/C][C]4574[/C][C]4865.57906490012[/C][C]-291.579064900118[/C][/ROW]
[ROW][C]34[/C][C]4841[/C][C]4712.00465512243[/C][C]128.995344877568[/C][/ROW]
[ROW][C]35[/C][C]4688[/C][C]4761.43163032736[/C][C]-73.431630327359[/C][/ROW]
[ROW][C]36[/C][C]4766[/C][C]4711.13553914173[/C][C]54.8644608582727[/C][/ROW]
[ROW][C]37[/C][C]4994[/C][C]4725.52236138656[/C][C]268.47763861344[/C][/ROW]
[ROW][C]38[/C][C]4514[/C][C]4879.08753295841[/C][C]-365.087532958413[/C][/ROW]
[ROW][C]39[/C][C]4766[/C][C]4696.49536987337[/C][C]69.5046301266257[/C][/ROW]
[ROW][C]40[/C][C]4642[/C][C]4712.33313822235[/C][C]-70.333138222345[/C][/ROW]
[ROW][C]41[/C][C]4806[/C][C]4655.79699464947[/C][C]150.20300535053[/C][/ROW]
[ROW][C]42[/C][C]4645[/C][C]4720.38227947828[/C][C]-75.3822794782818[/C][/ROW]
[ROW][C]43[/C][C]4784[/C][C]4674.98224834249[/C][C]109.017751657508[/C][/ROW]
[ROW][C]44[/C][C]4979[/C][C]4727.91155437291[/C][C]251.088445627087[/C][/ROW]
[ROW][C]45[/C][C]4530[/C][C]4886.29668012934[/C][C]-356.296680129339[/C][/ROW]
[ROW][C]46[/C][C]4942[/C][C]4721.29623725695[/C][C]220.703762743046[/C][/ROW]
[ROW][C]47[/C][C]4651[/C][C]4842.57264500019[/C][C]-191.57264500019[/C][/ROW]
[ROW][C]48[/C][C]5150[/C][C]4753.27863927286[/C][C]396.721360727141[/C][/ROW]
[ROW][C]49[/C][C]4987[/C][C]4986.38079364554[/C][C]0.619206354459493[/C][/ROW]
[ROW][C]50[/C][C]4532[/C][C]5049.99624953081[/C][C]-517.996249530814[/C][/ROW]
[ROW][C]51[/C][C]5046[/C][C]4799.4950781557[/C][C]246.504921844302[/C][/ROW]
[ROW][C]52[/C][C]4783[/C][C]4920.13752120225[/C][C]-137.137521202255[/C][/ROW]
[ROW][C]53[/C][C]4958[/C][C]4852.14440582275[/C][C]105.855594177248[/C][/ROW]
[ROW][C]54[/C][C]4815[/C][C]4907.00607308632[/C][C]-92.0060730863197[/C][/ROW]
[ROW][C]55[/C][C]5055[/C][C]4860.79811813808[/C][C]194.201881861924[/C][/ROW]
[ROW][C]56[/C][C]5152[/C][C]4971.64987931727[/C][C]180.350120682732[/C][/ROW]
[ROW][C]57[/C][C]4773[/C][C]5108.62464740059[/C][C]-335.624647400586[/C][/ROW]
[ROW][C]58[/C][C]5147[/C][C]4965.0265511081[/C][C]181.973448891896[/C][/ROW]
[ROW][C]59[/C][C]4866[/C][C]5075.38776561741[/C][C]-209.387765617414[/C][/ROW]
[ROW][C]60[/C][C]5311[/C][C]4980.96740112406[/C][C]330.032598875939[/C][/ROW]
[ROW][C]61[/C][C]5172[/C][C]5176.16458414055[/C][C]-4.16458414055251[/C][/ROW]
[ROW][C]62[/C][C]4734[/C][C]5227.53033084383[/C][C]-493.530330843832[/C][/ROW]
[ROW][C]63[/C][C]5011[/C][C]4981.65148370298[/C][C]29.3485162970173[/C][/ROW]
[ROW][C]64[/C][C]4957[/C][C]4964.86677054731[/C][C]-7.86677054731354[/C][/ROW]
[ROW][C]65[/C][C]4968[/C][C]4930.74963474009[/C][C]37.2503652599089[/C][/ROW]
[ROW][C]66[/C][C]5049[/C][C]4922.57059034352[/C][C]126.429409656479[/C][/ROW]
[ROW][C]67[/C][C]5305[/C][C]4975.04526225728[/C][C]329.954737742719[/C][/ROW]
[ROW][C]68[/C][C]5067[/C][C]5173.30542336631[/C][C]-106.30542336631[/C][/ROW]
[ROW][C]69[/C][C]5001[/C][C]5165.88082866408[/C][C]-164.880828664081[/C][/ROW]
[ROW][C]70[/C][C]5252[/C][C]5104.07188442545[/C][C]147.928115574548[/C][/ROW]
[ROW][C]71[/C][C]4903[/C][C]5202.48795705413[/C][C]-299.487957054128[/C][/ROW]
[ROW][C]72[/C][C]5408[/C][C]5056.10815795659[/C][C]351.891842043408[/C][/ROW]
[ROW][C]73[/C][C]5395[/C][C]5251.16799339988[/C][C]143.832006600121[/C][/ROW]
[ROW][C]74[/C][C]5150[/C][C]5382.70749004335[/C][C]-232.707490043354[/C][/ROW]
[ROW][C]75[/C][C]5460[/C][C]5311.66689474223[/C][C]148.333105257774[/C][/ROW]
[ROW][C]76[/C][C]4968[/C][C]5430.13764393695[/C][C]-462.137643936954[/C][/ROW]
[ROW][C]77[/C][C]5021[/C][C]5205.09043464979[/C][C]-184.090434649786[/C][/ROW]
[ROW][C]78[/C][C]5118[/C][C]5066.37447329394[/C][C]51.6255267060642[/C][/ROW]
[ROW][C]79[/C][C]5175[/C][C]5037.75910558103[/C][C]137.24089441897[/C][/ROW]
[ROW][C]80[/C][C]5420[/C][C]5070.19315314789[/C][C]349.806846852107[/C][/ROW]
[ROW][C]81[/C][C]5121[/C][C]5255.81189956923[/C][C]-134.811899569235[/C][/ROW]
[ROW][C]82[/C][C]5450[/C][C]5209.97398770397[/C][C]240.026012296033[/C][/ROW]
[ROW][C]83[/C][C]5286[/C][C]5367.2883395391[/C][C]-81.2883395391018[/C][/ROW]
[ROW][C]84[/C][C]5693[/C][C]5372.57992788912[/C][C]320.420072110876[/C][/ROW]
[ROW][C]85[/C][C]5353[/C][C]5606.81729409992[/C][C]-253.817294099918[/C][/ROW]
[ROW][C]86[/C][C]5017[/C][C]5550.07555404232[/C][C]-533.075554042323[/C][/ROW]
[ROW][C]87[/C][C]5577[/C][C]5279.0213000461[/C][C]297.978699953901[/C][/ROW]
[ROW][C]88[/C][C]4987[/C][C]5416.75479984389[/C][C]-429.754799843887[/C][/ROW]
[ROW][C]89[/C][C]5129[/C][C]5166.51807289598[/C][C]-37.5180728959822[/C][/ROW]
[ROW][C]90[/C][C]5249[/C][C]5077.55492883854[/C][C]171.445071161464[/C][/ROW]
[ROW][C]91[/C][C]5100[/C][C]5108.533446266[/C][C]-8.53344626599846[/C][/ROW]
[ROW][C]92[/C][C]5382[/C][C]5060.93495165861[/C][C]321.065048341388[/C][/ROW]
[ROW][C]93[/C][C]5039[/C][C]5211.52198439497[/C][C]-172.521984394967[/C][/ROW]
[ROW][C]94[/C][C]5364[/C][C]5120.11020313852[/C][C]243.889796861483[/C][/ROW]
[ROW][C]95[/C][C]5193[/C][C]5250.3378418081[/C][C]-57.3378418081002[/C][/ROW]
[ROW][C]96[/C][C]5846[/C][C]5241.39987745084[/C][C]604.600122549159[/C][/ROW]
[ROW][C]97[/C][C]5259[/C][C]5623.33630958623[/C][C]-364.336309586234[/C][/ROW]
[ROW][C]98[/C][C]4809[/C][C]5525.6549649447[/C][C]-716.6549649447[/C][/ROW]
[ROW][C]99[/C][C]5297[/C][C]5149.75148246913[/C][C]147.248517530868[/C][/ROW]
[ROW][C]100[/C][C]5034[/C][C]5169.91116748587[/C][C]-135.911167485867[/C][/ROW]
[ROW][C]101[/C][C]5243[/C][C]5044.6763721749[/C][C]198.323627825097[/C][/ROW]
[ROW][C]102[/C][C]5150[/C][C]5097.79722796303[/C][C]52.2027720369697[/C][/ROW]
[ROW][C]103[/C][C]5296[/C][C]5097.63242742096[/C][C]198.367572579039[/C][/ROW]
[ROW][C]104[/C][C]5596[/C][C]5195.30625484029[/C][C]400.693745159705[/C][/ROW]
[ROW][C]105[/C][C]4954[/C][C]5450.82466132686[/C][C]-496.824661326864[/C][/ROW]
[ROW][C]106[/C][C]5250[/C][C]5233.75662340551[/C][C]16.2433765944879[/C][/ROW]
[ROW][C]107[/C][C]5009[/C][C]5239.25289088898[/C][C]-230.252890888979[/C][/ROW]
[ROW][C]108[/C][C]5113[/C][C]5098.28517663297[/C][C]14.7148233670332[/C][/ROW]
[ROW][C]109[/C][C]5237[/C][C]5064.8191433012[/C][C]172.180856698801[/C][/ROW]
[ROW][C]110[/C][C]4575[/C][C]5129.37632571849[/C][C]-554.376325718489[/C][/ROW]
[ROW][C]111[/C][C]5026[/C][C]4784.31781096096[/C][C]241.682189039044[/C][/ROW]
[ROW][C]112[/C][C]4842[/C][C]4823.05748455001[/C][C]18.9425154499886[/C][/ROW]
[ROW][C]113[/C][C]5019[/C][C]4769.79468543927[/C][C]249.205314560726[/C][/ROW]
[ROW][C]114[/C][C]5063[/C][C]4859.41371462868[/C][C]203.586285371315[/C][/ROW]
[ROW][C]115[/C][C]5261[/C][C]4965.68393505801[/C][C]295.31606494199[/C][/ROW]
[ROW][C]116[/C][C]5327[/C][C]5163.71642504948[/C][C]163.283574950524[/C][/ROW]
[ROW][C]117[/C][C]5054[/C][C]5334.23791127142[/C][C]-280.237911271419[/C][/ROW]
[ROW][C]118[/C][C]5269[/C][C]5265.05238094657[/C][C]3.94761905342784[/C][/ROW]
[ROW][C]119[/C][C]5019[/C][C]5318.24652764122[/C][C]-299.246527641221[/C][/ROW]
[ROW][C]120[/C][C]5315[/C][C]5188.4383735634[/C][C]126.561626436601[/C][/ROW]
[ROW][C]121[/C][C]5274[/C][C]5263.43995867746[/C][C]10.5600413225393[/C][/ROW]
[ROW][C]122[/C][C]4899[/C][C]5290.65066952323[/C][C]-391.650669523229[/C][/ROW]
[ROW][C]123[/C][C]5216[/C][C]5076.04063983745[/C][C]139.959360162553[/C][/ROW]
[ROW][C]124[/C][C]5029[/C][C]5113.922116406[/C][C]-84.922116406[/C][/ROW]
[ROW][C]125[/C][C]5110[/C][C]5040.42409628138[/C][C]69.5759037186199[/C][/ROW]
[ROW][C]126[/C][C]5093[/C][C]5045.44239847288[/C][C]47.5576015271154[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301959&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301959&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
348243962862
448143966.28176902907847.71823097093
546024115.1145342073486.885465792697
644994195.98635227913303.013647720872
745944251.98581045808342.014189541923
846004385.47047929751214.529520702487
945074502.499359428364.50064057164218
1046064530.4013021468175.5986978531919
1145034602.18112933083-99.1811293308265
1248014581.49892022319219.501079776815
1345644736.27719496517-172.277194965174
1441424692.69102493727-550.691024937274
1548184389.20666054275428.793339457252
1644084581.31234178964-173.312341789636
1744964484.8149406842511.1850593157533
1845874469.30064994224117.699350057756
1946564520.3108033479135.689196652102
2047994603.13976178105195.86023821895
2146524746.54227018717-94.5422701871657
2246384748.80172257311-110.801722573115
2346504724.40654217816-74.4065421781588
2451854702.37011356826482.629886431735
2552085004.61509170903203.384908290968
2644775223.44520924149-746.445209241486
2749764902.9255343477273.0744656522811
2846704946.28243104052-276.282431040522
2948424790.9532267035651.0467732964407
3047134784.8472617763-71.8472617762964
3148044713.3529775232490.6470224767645
3249964727.5437236073268.4562763927
3345744865.57906490012-291.579064900118
3448414712.00465512243128.995344877568
3546884761.43163032736-73.431630327359
3647664711.1355391417354.8644608582727
3749944725.52236138656268.47763861344
3845144879.08753295841-365.087532958413
3947664696.4953698733769.5046301266257
4046424712.33313822235-70.333138222345
4148064655.79699464947150.20300535053
4246454720.38227947828-75.3822794782818
4347844674.98224834249109.017751657508
4449794727.91155437291251.088445627087
4545304886.29668012934-356.296680129339
4649424721.29623725695220.703762743046
4746514842.57264500019-191.57264500019
4851504753.27863927286396.721360727141
4949874986.380793645540.619206354459493
5045325049.99624953081-517.996249530814
5150464799.4950781557246.504921844302
5247834920.13752120225-137.137521202255
5349584852.14440582275105.855594177248
5448154907.00607308632-92.0060730863197
5550554860.79811813808194.201881861924
5651524971.64987931727180.350120682732
5747735108.62464740059-335.624647400586
5851474965.0265511081181.973448891896
5948665075.38776561741-209.387765617414
6053114980.96740112406330.032598875939
6151725176.16458414055-4.16458414055251
6247345227.53033084383-493.530330843832
6350114981.6514837029829.3485162970173
6449574964.86677054731-7.86677054731354
6549684930.7496347400937.2503652599089
6650494922.57059034352126.429409656479
6753054975.04526225728329.954737742719
6850675173.30542336631-106.30542336631
6950015165.88082866408-164.880828664081
7052525104.07188442545147.928115574548
7149035202.48795705413-299.487957054128
7254085056.10815795659351.891842043408
7353955251.16799339988143.832006600121
7451505382.70749004335-232.707490043354
7554605311.66689474223148.333105257774
7649685430.13764393695-462.137643936954
7750215205.09043464979-184.090434649786
7851185066.3744732939451.6255267060642
7951755037.75910558103137.24089441897
8054205070.19315314789349.806846852107
8151215255.81189956923-134.811899569235
8254505209.97398770397240.026012296033
8352865367.2883395391-81.2883395391018
8456935372.57992788912320.420072110876
8553535606.81729409992-253.817294099918
8650175550.07555404232-533.075554042323
8755775279.0213000461297.978699953901
8849875416.75479984389-429.754799843887
8951295166.51807289598-37.5180728959822
9052495077.55492883854171.445071161464
9151005108.533446266-8.53344626599846
9253825060.93495165861321.065048341388
9350395211.52198439497-172.521984394967
9453645120.11020313852243.889796861483
9551935250.3378418081-57.3378418081002
9658465241.39987745084604.600122549159
9752595623.33630958623-364.336309586234
9848095525.6549649447-716.6549649447
9952975149.75148246913147.248517530868
10050345169.91116748587-135.911167485867
10152435044.6763721749198.323627825097
10251505097.7972279630352.2027720369697
10352965097.63242742096198.367572579039
10455965195.30625484029400.693745159705
10549545450.82466132686-496.824661326864
10652505233.7566234055116.2433765944879
10750095239.25289088898-230.252890888979
10851135098.2851766329714.7148233670332
10952375064.8191433012172.180856698801
11045755129.37632571849-554.376325718489
11150264784.31781096096241.682189039044
11248424823.0574845500118.9425154499886
11350194769.79468543927249.205314560726
11450634859.41371462868203.586285371315
11552614965.68393505801295.31606494199
11653275163.71642504948163.283574950524
11750545334.23791127142-280.237911271419
11852695265.052380946573.94761905342784
11950195318.24652764122-299.246527641221
12053155188.4383735634126.561626436601
12152745263.4399586774610.5600413225393
12248995290.65066952323-391.650669523229
12352165076.04063983745139.959360162553
12450295113.922116406-84.922116406
12551105040.4240962813869.5759037186199
12650935045.4423984728847.5576015271154







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1275049.485719865764494.040865575855604.93057415568
1285033.166580203474383.721334742995682.61182566396
1295016.847440541184235.034470146435798.66041093593
1305000.528300878894053.761493917515947.29510784026
1314984.209161216593845.491485829786122.92683660341
1324967.89002155433614.503745493776321.27629761483
1334951.570881892013363.871914875986539.26984890803
1344935.251742229713095.803467265016774.70001719442
1354918.932602567422811.922524144057025.94268099079
1364902.613462905132513.462196887687291.76472892257
1374886.294323242842201.388723523557571.19992296212
1384869.975183580541876.48130314937863.46906401179

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 5049.48571986576 & 4494.04086557585 & 5604.93057415568 \tabularnewline
128 & 5033.16658020347 & 4383.72133474299 & 5682.61182566396 \tabularnewline
129 & 5016.84744054118 & 4235.03447014643 & 5798.66041093593 \tabularnewline
130 & 5000.52830087889 & 4053.76149391751 & 5947.29510784026 \tabularnewline
131 & 4984.20916121659 & 3845.49148582978 & 6122.92683660341 \tabularnewline
132 & 4967.8900215543 & 3614.50374549377 & 6321.27629761483 \tabularnewline
133 & 4951.57088189201 & 3363.87191487598 & 6539.26984890803 \tabularnewline
134 & 4935.25174222971 & 3095.80346726501 & 6774.70001719442 \tabularnewline
135 & 4918.93260256742 & 2811.92252414405 & 7025.94268099079 \tabularnewline
136 & 4902.61346290513 & 2513.46219688768 & 7291.76472892257 \tabularnewline
137 & 4886.29432324284 & 2201.38872352355 & 7571.19992296212 \tabularnewline
138 & 4869.97518358054 & 1876.4813031493 & 7863.46906401179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301959&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]5049.48571986576[/C][C]4494.04086557585[/C][C]5604.93057415568[/C][/ROW]
[ROW][C]128[/C][C]5033.16658020347[/C][C]4383.72133474299[/C][C]5682.61182566396[/C][/ROW]
[ROW][C]129[/C][C]5016.84744054118[/C][C]4235.03447014643[/C][C]5798.66041093593[/C][/ROW]
[ROW][C]130[/C][C]5000.52830087889[/C][C]4053.76149391751[/C][C]5947.29510784026[/C][/ROW]
[ROW][C]131[/C][C]4984.20916121659[/C][C]3845.49148582978[/C][C]6122.92683660341[/C][/ROW]
[ROW][C]132[/C][C]4967.8900215543[/C][C]3614.50374549377[/C][C]6321.27629761483[/C][/ROW]
[ROW][C]133[/C][C]4951.57088189201[/C][C]3363.87191487598[/C][C]6539.26984890803[/C][/ROW]
[ROW][C]134[/C][C]4935.25174222971[/C][C]3095.80346726501[/C][C]6774.70001719442[/C][/ROW]
[ROW][C]135[/C][C]4918.93260256742[/C][C]2811.92252414405[/C][C]7025.94268099079[/C][/ROW]
[ROW][C]136[/C][C]4902.61346290513[/C][C]2513.46219688768[/C][C]7291.76472892257[/C][/ROW]
[ROW][C]137[/C][C]4886.29432324284[/C][C]2201.38872352355[/C][C]7571.19992296212[/C][/ROW]
[ROW][C]138[/C][C]4869.97518358054[/C][C]1876.4813031493[/C][C]7863.46906401179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301959&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301959&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
1275049.485719865764494.040865575855604.93057415568
1285033.166580203474383.721334742995682.61182566396
1295016.847440541184235.034470146435798.66041093593
1305000.528300878894053.761493917515947.29510784026
1314984.209161216593845.491485829786122.92683660341
1324967.89002155433614.503745493776321.27629761483
1334951.570881892013363.871914875986539.26984890803
1344935.251742229713095.803467265016774.70001719442
1354918.932602567422811.922524144057025.94268099079
1364902.613462905132513.462196887687291.76472892257
1374886.294323242842201.388723523557571.19992296212
1384869.975183580541876.48130314937863.46906401179



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