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 computationSat, 17 Dec 2016 00:57:19 +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/17/t14819326964a2pt0bp9ovbksp.htm/, Retrieved Wed, 01 May 2024 23:11:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300585, Retrieved Wed, 01 May 2024 23:11:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2016-12-16 23:57:19] [8dbd6448339a84ba150e9d534057ba9c] [Current]
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Dataseries X:
4751.5
4649.2
4664.9
4691.3
4713.7
4772.8
4748.9
4801
4891.9
4891.9
4903.5
4976.4
5009.8
4946.4
4981.9
5013.8
5015.5
5070.7
5000.9
5059.1
5156.8
5002.6
5059.1
5164.1
5087.9
5140.8
5192.8
5177.6
5167.8
5248.4
5097.5
5187.3
5261.5
5179.7
5205.6
5353.3
5425.7
5215.2
5215.6
5216.4
5208.2
5237.5
5175
5300.2
5279.3
5262.6
5220.5
5372.1
5406
5317.2
5258.4
5204.2
5304.2
5300.2
5228.8
5303.3
5296
5341.1
5354.8
5447.8
5405.6
5333.4
5291.9
5414.4
5317.2
5380.5
5431.5
5363.5
5435.4
5499.8
5447.4
5633
5617.4
5567.8
5574
5710.4
5583.1
5610.8
5620.1
5759.4
5838.7
5843.3
5821
5895.1
5881.6
5827.7
5865.9
5918.4
5875.2
6078.4
5986.3
6019.7
6255.7
6128.4
6210
6301.8
6305.7
6261.2
6200.5
6185.5
6237.4
6399
6182.5
6292.3
6419.8
6273.7
6344.8
6490.4
6355.4
6383.1
6377.3
6324.9
6342.2
6364.1
6249.5
6439.2
6409.4




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=300585&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=300585&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300585&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
alpha0.591850558656145
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.591850558656145 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300585&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]0.591850558656145[/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=300585&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300585&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
alpha0.591850558656145
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
24649.24751.5-102.3
34664.94690.95368784948-26.0536878494768
44691.34675.5337981407115.7662018592891
54713.74684.8650335190228.834966480983
64772.84701.9310245396270.868975460382
74748.94743.874867257235.02513274276589
848014746.8489948783654.1510051216392
94891.94778.89829751139113.001702488606
104891.94845.7784182583746.1215817416287
114903.54873.0755021782630.4244978217412
124976.44891.0822582108985.3177417891111
135009.84941.5776113520668.2223886479451
144946.44981.9550701862-35.5550701861985
154981.94960.9117820334420.9882179665619
165013.84973.3336705621440.4663294378561
175015.54997.283690246718.2163097532975
185070.75008.0650233508462.6349766491549
195000.95045.13556927206-44.2355692720621
205059.15018.9547228859240.1452771140812
215156.85042.71472757329114.085272426707
225002.65110.23615979348-107.636159793477
235059.15046.5316384881112.5683615118942
245164.15053.97023027031110.129769729687
255087.95119.1505960095-31.2505960095023
265140.85100.6549133029440.1450866970599
275192.85124.4148052918968.3851947081057
285177.65164.888620983712.7113790163039
295167.85172.41185775579-4.61185775578542
305248.45169.6823271665878.717672833418
315097.55216.27142580915-118.771425809152
325187.35145.9764910916241.3235089083819
335261.55170.4338329246891.0661670753234
345179.75224.33139478288-44.6313947828812
355205.65197.916278847037.68372115297097
365353.35202.46389350397150.836106496027
375425.75291.73632739916133.963672600836
385215.25371.0228018676-155.822801867597
395215.65278.79898953089-63.1989895308934
405216.45241.39463227053-24.9946322705309
415208.25226.60154519781-18.4015451978121
425237.55215.7105803923521.7894196076495
4351755228.60666055993-53.6066605599317
445300.25196.87952855985103.320471440154
455279.35258.0298073023221.2701926976833
465262.65270.61858273316-8.01858273316429
475220.55265.87278006291-45.3727800629113
485372.15239.0188748349133.081125165105
4954065317.7830131104588.2169868895489
505317.25369.99428608399-52.794286083993
515258.45338.74795837133-80.3479583713297
525204.25291.19397432238-86.9939743223777
535304.25239.7065420199664.4934579800401
545300.25277.8770311551122.3229688448873
555228.85291.08889273682-62.2888927368231
565303.35254.2231767724649.0768232275386
5752965283.2693220167512.7306779832506
585341.15290.8039808932150.2960191067923
595354.85320.5717078997434.228292100257
605447.85340.82974170113106.970258298874
615405.65404.140148834911.45985116509291
625333.45405.00416256252-71.6041625625221
635291.95362.62519894779-70.7251989477882
645414.45320.7664504394793.6335495605272
655317.25376.18351905583-58.9835190558288
665380.55341.2740903511339.2259096488688
675431.55364.4899668906167.01003310939
685363.55404.14989242197-40.6498924219686
695435.45380.0912308827155.3087691172859
705499.85412.8257567833686.9742432166377
715447.45464.30151121982-16.9015112198249
7256335454.29834236224178.701657637762
735617.45560.0630182679357.3369817320727
745567.85593.99794293771-26.1979429377106
7555745578.49267577439-4.49267577438513
765710.45575.83368310745134.566316892546
775583.15655.47683293661-72.3768329366067
785610.85612.64056392931-1.84056392931325
795620.15611.551225139518.54877486049372
805759.45616.61082231652142.789177683484
815838.75701.12067689854137.579323101462
825843.35782.5470761356760.7529238643283
8358215818.503728064772.49627193523156
845895.15819.9811480041975.1188519958077
855881.65864.4402825235217.1597174764811
865827.75874.59627089836-46.8962708983563
875865.95846.8406867682719.0593132317263
885918.45858.1209519520760.2790480479271
895875.25893.7971402145-18.5971402144996
906078.45882.79041238914195.609587610858
915986.35998.56205609513-12.2620560951264
926019.75991.3047513449528.395248655047
936255.76008.11049512462247.589504875377
946128.46154.64648190251-26.2464819025136
9562106139.1124869257570.8875130742481
966301.86181.06730114049120.73269885951
976305.76252.5230164085653.1769835914447
986261.26283.9958438548-22.7958438548003
996200.56270.5041109343-70.0041109342983
1006185.56229.07213876961-43.5721387696067
1016237.46203.2839440969734.1160559030277
10263996223.47555084232175.524449157678
1036182.56327.35979413411-144.859794134106
1046292.36241.6244440490250.6755559509793
1056419.86271.61680014882148.183199851182
1066273.76359.3191097642-85.6191097641959
1076344.86308.6453918186136.1546081813858
1086490.46330.04351686876160.356483131238
1096355.46424.95059099412-69.5505909941203
1106383.16383.78703485939-0.687034859384767
1116377.36383.38041289404-6.08041289404173
1126324.96379.78171712584-54.8817171258434
1136342.26347.2999421849-5.09994218490374
1146364.16344.2815385536519.8184614463462
1156249.56356.01110603238-106.51110603238
1166439.26292.97244842403146.227551575967
1176409.46379.5173065151929.8826934848112

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 4649.2 & 4751.5 & -102.3 \tabularnewline
3 & 4664.9 & 4690.95368784948 & -26.0536878494768 \tabularnewline
4 & 4691.3 & 4675.53379814071 & 15.7662018592891 \tabularnewline
5 & 4713.7 & 4684.86503351902 & 28.834966480983 \tabularnewline
6 & 4772.8 & 4701.93102453962 & 70.868975460382 \tabularnewline
7 & 4748.9 & 4743.87486725723 & 5.02513274276589 \tabularnewline
8 & 4801 & 4746.84899487836 & 54.1510051216392 \tabularnewline
9 & 4891.9 & 4778.89829751139 & 113.001702488606 \tabularnewline
10 & 4891.9 & 4845.77841825837 & 46.1215817416287 \tabularnewline
11 & 4903.5 & 4873.07550217826 & 30.4244978217412 \tabularnewline
12 & 4976.4 & 4891.08225821089 & 85.3177417891111 \tabularnewline
13 & 5009.8 & 4941.57761135206 & 68.2223886479451 \tabularnewline
14 & 4946.4 & 4981.9550701862 & -35.5550701861985 \tabularnewline
15 & 4981.9 & 4960.91178203344 & 20.9882179665619 \tabularnewline
16 & 5013.8 & 4973.33367056214 & 40.4663294378561 \tabularnewline
17 & 5015.5 & 4997.2836902467 & 18.2163097532975 \tabularnewline
18 & 5070.7 & 5008.06502335084 & 62.6349766491549 \tabularnewline
19 & 5000.9 & 5045.13556927206 & -44.2355692720621 \tabularnewline
20 & 5059.1 & 5018.95472288592 & 40.1452771140812 \tabularnewline
21 & 5156.8 & 5042.71472757329 & 114.085272426707 \tabularnewline
22 & 5002.6 & 5110.23615979348 & -107.636159793477 \tabularnewline
23 & 5059.1 & 5046.53163848811 & 12.5683615118942 \tabularnewline
24 & 5164.1 & 5053.97023027031 & 110.129769729687 \tabularnewline
25 & 5087.9 & 5119.1505960095 & -31.2505960095023 \tabularnewline
26 & 5140.8 & 5100.65491330294 & 40.1450866970599 \tabularnewline
27 & 5192.8 & 5124.41480529189 & 68.3851947081057 \tabularnewline
28 & 5177.6 & 5164.8886209837 & 12.7113790163039 \tabularnewline
29 & 5167.8 & 5172.41185775579 & -4.61185775578542 \tabularnewline
30 & 5248.4 & 5169.68232716658 & 78.717672833418 \tabularnewline
31 & 5097.5 & 5216.27142580915 & -118.771425809152 \tabularnewline
32 & 5187.3 & 5145.97649109162 & 41.3235089083819 \tabularnewline
33 & 5261.5 & 5170.43383292468 & 91.0661670753234 \tabularnewline
34 & 5179.7 & 5224.33139478288 & -44.6313947828812 \tabularnewline
35 & 5205.6 & 5197.91627884703 & 7.68372115297097 \tabularnewline
36 & 5353.3 & 5202.46389350397 & 150.836106496027 \tabularnewline
37 & 5425.7 & 5291.73632739916 & 133.963672600836 \tabularnewline
38 & 5215.2 & 5371.0228018676 & -155.822801867597 \tabularnewline
39 & 5215.6 & 5278.79898953089 & -63.1989895308934 \tabularnewline
40 & 5216.4 & 5241.39463227053 & -24.9946322705309 \tabularnewline
41 & 5208.2 & 5226.60154519781 & -18.4015451978121 \tabularnewline
42 & 5237.5 & 5215.71058039235 & 21.7894196076495 \tabularnewline
43 & 5175 & 5228.60666055993 & -53.6066605599317 \tabularnewline
44 & 5300.2 & 5196.87952855985 & 103.320471440154 \tabularnewline
45 & 5279.3 & 5258.02980730232 & 21.2701926976833 \tabularnewline
46 & 5262.6 & 5270.61858273316 & -8.01858273316429 \tabularnewline
47 & 5220.5 & 5265.87278006291 & -45.3727800629113 \tabularnewline
48 & 5372.1 & 5239.0188748349 & 133.081125165105 \tabularnewline
49 & 5406 & 5317.78301311045 & 88.2169868895489 \tabularnewline
50 & 5317.2 & 5369.99428608399 & -52.794286083993 \tabularnewline
51 & 5258.4 & 5338.74795837133 & -80.3479583713297 \tabularnewline
52 & 5204.2 & 5291.19397432238 & -86.9939743223777 \tabularnewline
53 & 5304.2 & 5239.70654201996 & 64.4934579800401 \tabularnewline
54 & 5300.2 & 5277.87703115511 & 22.3229688448873 \tabularnewline
55 & 5228.8 & 5291.08889273682 & -62.2888927368231 \tabularnewline
56 & 5303.3 & 5254.22317677246 & 49.0768232275386 \tabularnewline
57 & 5296 & 5283.26932201675 & 12.7306779832506 \tabularnewline
58 & 5341.1 & 5290.80398089321 & 50.2960191067923 \tabularnewline
59 & 5354.8 & 5320.57170789974 & 34.228292100257 \tabularnewline
60 & 5447.8 & 5340.82974170113 & 106.970258298874 \tabularnewline
61 & 5405.6 & 5404.14014883491 & 1.45985116509291 \tabularnewline
62 & 5333.4 & 5405.00416256252 & -71.6041625625221 \tabularnewline
63 & 5291.9 & 5362.62519894779 & -70.7251989477882 \tabularnewline
64 & 5414.4 & 5320.76645043947 & 93.6335495605272 \tabularnewline
65 & 5317.2 & 5376.18351905583 & -58.9835190558288 \tabularnewline
66 & 5380.5 & 5341.27409035113 & 39.2259096488688 \tabularnewline
67 & 5431.5 & 5364.48996689061 & 67.01003310939 \tabularnewline
68 & 5363.5 & 5404.14989242197 & -40.6498924219686 \tabularnewline
69 & 5435.4 & 5380.09123088271 & 55.3087691172859 \tabularnewline
70 & 5499.8 & 5412.82575678336 & 86.9742432166377 \tabularnewline
71 & 5447.4 & 5464.30151121982 & -16.9015112198249 \tabularnewline
72 & 5633 & 5454.29834236224 & 178.701657637762 \tabularnewline
73 & 5617.4 & 5560.06301826793 & 57.3369817320727 \tabularnewline
74 & 5567.8 & 5593.99794293771 & -26.1979429377106 \tabularnewline
75 & 5574 & 5578.49267577439 & -4.49267577438513 \tabularnewline
76 & 5710.4 & 5575.83368310745 & 134.566316892546 \tabularnewline
77 & 5583.1 & 5655.47683293661 & -72.3768329366067 \tabularnewline
78 & 5610.8 & 5612.64056392931 & -1.84056392931325 \tabularnewline
79 & 5620.1 & 5611.55122513951 & 8.54877486049372 \tabularnewline
80 & 5759.4 & 5616.61082231652 & 142.789177683484 \tabularnewline
81 & 5838.7 & 5701.12067689854 & 137.579323101462 \tabularnewline
82 & 5843.3 & 5782.54707613567 & 60.7529238643283 \tabularnewline
83 & 5821 & 5818.50372806477 & 2.49627193523156 \tabularnewline
84 & 5895.1 & 5819.98114800419 & 75.1188519958077 \tabularnewline
85 & 5881.6 & 5864.44028252352 & 17.1597174764811 \tabularnewline
86 & 5827.7 & 5874.59627089836 & -46.8962708983563 \tabularnewline
87 & 5865.9 & 5846.84068676827 & 19.0593132317263 \tabularnewline
88 & 5918.4 & 5858.12095195207 & 60.2790480479271 \tabularnewline
89 & 5875.2 & 5893.7971402145 & -18.5971402144996 \tabularnewline
90 & 6078.4 & 5882.79041238914 & 195.609587610858 \tabularnewline
91 & 5986.3 & 5998.56205609513 & -12.2620560951264 \tabularnewline
92 & 6019.7 & 5991.30475134495 & 28.395248655047 \tabularnewline
93 & 6255.7 & 6008.11049512462 & 247.589504875377 \tabularnewline
94 & 6128.4 & 6154.64648190251 & -26.2464819025136 \tabularnewline
95 & 6210 & 6139.11248692575 & 70.8875130742481 \tabularnewline
96 & 6301.8 & 6181.06730114049 & 120.73269885951 \tabularnewline
97 & 6305.7 & 6252.52301640856 & 53.1769835914447 \tabularnewline
98 & 6261.2 & 6283.9958438548 & -22.7958438548003 \tabularnewline
99 & 6200.5 & 6270.5041109343 & -70.0041109342983 \tabularnewline
100 & 6185.5 & 6229.07213876961 & -43.5721387696067 \tabularnewline
101 & 6237.4 & 6203.28394409697 & 34.1160559030277 \tabularnewline
102 & 6399 & 6223.47555084232 & 175.524449157678 \tabularnewline
103 & 6182.5 & 6327.35979413411 & -144.859794134106 \tabularnewline
104 & 6292.3 & 6241.62444404902 & 50.6755559509793 \tabularnewline
105 & 6419.8 & 6271.61680014882 & 148.183199851182 \tabularnewline
106 & 6273.7 & 6359.3191097642 & -85.6191097641959 \tabularnewline
107 & 6344.8 & 6308.64539181861 & 36.1546081813858 \tabularnewline
108 & 6490.4 & 6330.04351686876 & 160.356483131238 \tabularnewline
109 & 6355.4 & 6424.95059099412 & -69.5505909941203 \tabularnewline
110 & 6383.1 & 6383.78703485939 & -0.687034859384767 \tabularnewline
111 & 6377.3 & 6383.38041289404 & -6.08041289404173 \tabularnewline
112 & 6324.9 & 6379.78171712584 & -54.8817171258434 \tabularnewline
113 & 6342.2 & 6347.2999421849 & -5.09994218490374 \tabularnewline
114 & 6364.1 & 6344.28153855365 & 19.8184614463462 \tabularnewline
115 & 6249.5 & 6356.01110603238 & -106.51110603238 \tabularnewline
116 & 6439.2 & 6292.97244842403 & 146.227551575967 \tabularnewline
117 & 6409.4 & 6379.51730651519 & 29.8826934848112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300585&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]4649.2[/C][C]4751.5[/C][C]-102.3[/C][/ROW]
[ROW][C]3[/C][C]4664.9[/C][C]4690.95368784948[/C][C]-26.0536878494768[/C][/ROW]
[ROW][C]4[/C][C]4691.3[/C][C]4675.53379814071[/C][C]15.7662018592891[/C][/ROW]
[ROW][C]5[/C][C]4713.7[/C][C]4684.86503351902[/C][C]28.834966480983[/C][/ROW]
[ROW][C]6[/C][C]4772.8[/C][C]4701.93102453962[/C][C]70.868975460382[/C][/ROW]
[ROW][C]7[/C][C]4748.9[/C][C]4743.87486725723[/C][C]5.02513274276589[/C][/ROW]
[ROW][C]8[/C][C]4801[/C][C]4746.84899487836[/C][C]54.1510051216392[/C][/ROW]
[ROW][C]9[/C][C]4891.9[/C][C]4778.89829751139[/C][C]113.001702488606[/C][/ROW]
[ROW][C]10[/C][C]4891.9[/C][C]4845.77841825837[/C][C]46.1215817416287[/C][/ROW]
[ROW][C]11[/C][C]4903.5[/C][C]4873.07550217826[/C][C]30.4244978217412[/C][/ROW]
[ROW][C]12[/C][C]4976.4[/C][C]4891.08225821089[/C][C]85.3177417891111[/C][/ROW]
[ROW][C]13[/C][C]5009.8[/C][C]4941.57761135206[/C][C]68.2223886479451[/C][/ROW]
[ROW][C]14[/C][C]4946.4[/C][C]4981.9550701862[/C][C]-35.5550701861985[/C][/ROW]
[ROW][C]15[/C][C]4981.9[/C][C]4960.91178203344[/C][C]20.9882179665619[/C][/ROW]
[ROW][C]16[/C][C]5013.8[/C][C]4973.33367056214[/C][C]40.4663294378561[/C][/ROW]
[ROW][C]17[/C][C]5015.5[/C][C]4997.2836902467[/C][C]18.2163097532975[/C][/ROW]
[ROW][C]18[/C][C]5070.7[/C][C]5008.06502335084[/C][C]62.6349766491549[/C][/ROW]
[ROW][C]19[/C][C]5000.9[/C][C]5045.13556927206[/C][C]-44.2355692720621[/C][/ROW]
[ROW][C]20[/C][C]5059.1[/C][C]5018.95472288592[/C][C]40.1452771140812[/C][/ROW]
[ROW][C]21[/C][C]5156.8[/C][C]5042.71472757329[/C][C]114.085272426707[/C][/ROW]
[ROW][C]22[/C][C]5002.6[/C][C]5110.23615979348[/C][C]-107.636159793477[/C][/ROW]
[ROW][C]23[/C][C]5059.1[/C][C]5046.53163848811[/C][C]12.5683615118942[/C][/ROW]
[ROW][C]24[/C][C]5164.1[/C][C]5053.97023027031[/C][C]110.129769729687[/C][/ROW]
[ROW][C]25[/C][C]5087.9[/C][C]5119.1505960095[/C][C]-31.2505960095023[/C][/ROW]
[ROW][C]26[/C][C]5140.8[/C][C]5100.65491330294[/C][C]40.1450866970599[/C][/ROW]
[ROW][C]27[/C][C]5192.8[/C][C]5124.41480529189[/C][C]68.3851947081057[/C][/ROW]
[ROW][C]28[/C][C]5177.6[/C][C]5164.8886209837[/C][C]12.7113790163039[/C][/ROW]
[ROW][C]29[/C][C]5167.8[/C][C]5172.41185775579[/C][C]-4.61185775578542[/C][/ROW]
[ROW][C]30[/C][C]5248.4[/C][C]5169.68232716658[/C][C]78.717672833418[/C][/ROW]
[ROW][C]31[/C][C]5097.5[/C][C]5216.27142580915[/C][C]-118.771425809152[/C][/ROW]
[ROW][C]32[/C][C]5187.3[/C][C]5145.97649109162[/C][C]41.3235089083819[/C][/ROW]
[ROW][C]33[/C][C]5261.5[/C][C]5170.43383292468[/C][C]91.0661670753234[/C][/ROW]
[ROW][C]34[/C][C]5179.7[/C][C]5224.33139478288[/C][C]-44.6313947828812[/C][/ROW]
[ROW][C]35[/C][C]5205.6[/C][C]5197.91627884703[/C][C]7.68372115297097[/C][/ROW]
[ROW][C]36[/C][C]5353.3[/C][C]5202.46389350397[/C][C]150.836106496027[/C][/ROW]
[ROW][C]37[/C][C]5425.7[/C][C]5291.73632739916[/C][C]133.963672600836[/C][/ROW]
[ROW][C]38[/C][C]5215.2[/C][C]5371.0228018676[/C][C]-155.822801867597[/C][/ROW]
[ROW][C]39[/C][C]5215.6[/C][C]5278.79898953089[/C][C]-63.1989895308934[/C][/ROW]
[ROW][C]40[/C][C]5216.4[/C][C]5241.39463227053[/C][C]-24.9946322705309[/C][/ROW]
[ROW][C]41[/C][C]5208.2[/C][C]5226.60154519781[/C][C]-18.4015451978121[/C][/ROW]
[ROW][C]42[/C][C]5237.5[/C][C]5215.71058039235[/C][C]21.7894196076495[/C][/ROW]
[ROW][C]43[/C][C]5175[/C][C]5228.60666055993[/C][C]-53.6066605599317[/C][/ROW]
[ROW][C]44[/C][C]5300.2[/C][C]5196.87952855985[/C][C]103.320471440154[/C][/ROW]
[ROW][C]45[/C][C]5279.3[/C][C]5258.02980730232[/C][C]21.2701926976833[/C][/ROW]
[ROW][C]46[/C][C]5262.6[/C][C]5270.61858273316[/C][C]-8.01858273316429[/C][/ROW]
[ROW][C]47[/C][C]5220.5[/C][C]5265.87278006291[/C][C]-45.3727800629113[/C][/ROW]
[ROW][C]48[/C][C]5372.1[/C][C]5239.0188748349[/C][C]133.081125165105[/C][/ROW]
[ROW][C]49[/C][C]5406[/C][C]5317.78301311045[/C][C]88.2169868895489[/C][/ROW]
[ROW][C]50[/C][C]5317.2[/C][C]5369.99428608399[/C][C]-52.794286083993[/C][/ROW]
[ROW][C]51[/C][C]5258.4[/C][C]5338.74795837133[/C][C]-80.3479583713297[/C][/ROW]
[ROW][C]52[/C][C]5204.2[/C][C]5291.19397432238[/C][C]-86.9939743223777[/C][/ROW]
[ROW][C]53[/C][C]5304.2[/C][C]5239.70654201996[/C][C]64.4934579800401[/C][/ROW]
[ROW][C]54[/C][C]5300.2[/C][C]5277.87703115511[/C][C]22.3229688448873[/C][/ROW]
[ROW][C]55[/C][C]5228.8[/C][C]5291.08889273682[/C][C]-62.2888927368231[/C][/ROW]
[ROW][C]56[/C][C]5303.3[/C][C]5254.22317677246[/C][C]49.0768232275386[/C][/ROW]
[ROW][C]57[/C][C]5296[/C][C]5283.26932201675[/C][C]12.7306779832506[/C][/ROW]
[ROW][C]58[/C][C]5341.1[/C][C]5290.80398089321[/C][C]50.2960191067923[/C][/ROW]
[ROW][C]59[/C][C]5354.8[/C][C]5320.57170789974[/C][C]34.228292100257[/C][/ROW]
[ROW][C]60[/C][C]5447.8[/C][C]5340.82974170113[/C][C]106.970258298874[/C][/ROW]
[ROW][C]61[/C][C]5405.6[/C][C]5404.14014883491[/C][C]1.45985116509291[/C][/ROW]
[ROW][C]62[/C][C]5333.4[/C][C]5405.00416256252[/C][C]-71.6041625625221[/C][/ROW]
[ROW][C]63[/C][C]5291.9[/C][C]5362.62519894779[/C][C]-70.7251989477882[/C][/ROW]
[ROW][C]64[/C][C]5414.4[/C][C]5320.76645043947[/C][C]93.6335495605272[/C][/ROW]
[ROW][C]65[/C][C]5317.2[/C][C]5376.18351905583[/C][C]-58.9835190558288[/C][/ROW]
[ROW][C]66[/C][C]5380.5[/C][C]5341.27409035113[/C][C]39.2259096488688[/C][/ROW]
[ROW][C]67[/C][C]5431.5[/C][C]5364.48996689061[/C][C]67.01003310939[/C][/ROW]
[ROW][C]68[/C][C]5363.5[/C][C]5404.14989242197[/C][C]-40.6498924219686[/C][/ROW]
[ROW][C]69[/C][C]5435.4[/C][C]5380.09123088271[/C][C]55.3087691172859[/C][/ROW]
[ROW][C]70[/C][C]5499.8[/C][C]5412.82575678336[/C][C]86.9742432166377[/C][/ROW]
[ROW][C]71[/C][C]5447.4[/C][C]5464.30151121982[/C][C]-16.9015112198249[/C][/ROW]
[ROW][C]72[/C][C]5633[/C][C]5454.29834236224[/C][C]178.701657637762[/C][/ROW]
[ROW][C]73[/C][C]5617.4[/C][C]5560.06301826793[/C][C]57.3369817320727[/C][/ROW]
[ROW][C]74[/C][C]5567.8[/C][C]5593.99794293771[/C][C]-26.1979429377106[/C][/ROW]
[ROW][C]75[/C][C]5574[/C][C]5578.49267577439[/C][C]-4.49267577438513[/C][/ROW]
[ROW][C]76[/C][C]5710.4[/C][C]5575.83368310745[/C][C]134.566316892546[/C][/ROW]
[ROW][C]77[/C][C]5583.1[/C][C]5655.47683293661[/C][C]-72.3768329366067[/C][/ROW]
[ROW][C]78[/C][C]5610.8[/C][C]5612.64056392931[/C][C]-1.84056392931325[/C][/ROW]
[ROW][C]79[/C][C]5620.1[/C][C]5611.55122513951[/C][C]8.54877486049372[/C][/ROW]
[ROW][C]80[/C][C]5759.4[/C][C]5616.61082231652[/C][C]142.789177683484[/C][/ROW]
[ROW][C]81[/C][C]5838.7[/C][C]5701.12067689854[/C][C]137.579323101462[/C][/ROW]
[ROW][C]82[/C][C]5843.3[/C][C]5782.54707613567[/C][C]60.7529238643283[/C][/ROW]
[ROW][C]83[/C][C]5821[/C][C]5818.50372806477[/C][C]2.49627193523156[/C][/ROW]
[ROW][C]84[/C][C]5895.1[/C][C]5819.98114800419[/C][C]75.1188519958077[/C][/ROW]
[ROW][C]85[/C][C]5881.6[/C][C]5864.44028252352[/C][C]17.1597174764811[/C][/ROW]
[ROW][C]86[/C][C]5827.7[/C][C]5874.59627089836[/C][C]-46.8962708983563[/C][/ROW]
[ROW][C]87[/C][C]5865.9[/C][C]5846.84068676827[/C][C]19.0593132317263[/C][/ROW]
[ROW][C]88[/C][C]5918.4[/C][C]5858.12095195207[/C][C]60.2790480479271[/C][/ROW]
[ROW][C]89[/C][C]5875.2[/C][C]5893.7971402145[/C][C]-18.5971402144996[/C][/ROW]
[ROW][C]90[/C][C]6078.4[/C][C]5882.79041238914[/C][C]195.609587610858[/C][/ROW]
[ROW][C]91[/C][C]5986.3[/C][C]5998.56205609513[/C][C]-12.2620560951264[/C][/ROW]
[ROW][C]92[/C][C]6019.7[/C][C]5991.30475134495[/C][C]28.395248655047[/C][/ROW]
[ROW][C]93[/C][C]6255.7[/C][C]6008.11049512462[/C][C]247.589504875377[/C][/ROW]
[ROW][C]94[/C][C]6128.4[/C][C]6154.64648190251[/C][C]-26.2464819025136[/C][/ROW]
[ROW][C]95[/C][C]6210[/C][C]6139.11248692575[/C][C]70.8875130742481[/C][/ROW]
[ROW][C]96[/C][C]6301.8[/C][C]6181.06730114049[/C][C]120.73269885951[/C][/ROW]
[ROW][C]97[/C][C]6305.7[/C][C]6252.52301640856[/C][C]53.1769835914447[/C][/ROW]
[ROW][C]98[/C][C]6261.2[/C][C]6283.9958438548[/C][C]-22.7958438548003[/C][/ROW]
[ROW][C]99[/C][C]6200.5[/C][C]6270.5041109343[/C][C]-70.0041109342983[/C][/ROW]
[ROW][C]100[/C][C]6185.5[/C][C]6229.07213876961[/C][C]-43.5721387696067[/C][/ROW]
[ROW][C]101[/C][C]6237.4[/C][C]6203.28394409697[/C][C]34.1160559030277[/C][/ROW]
[ROW][C]102[/C][C]6399[/C][C]6223.47555084232[/C][C]175.524449157678[/C][/ROW]
[ROW][C]103[/C][C]6182.5[/C][C]6327.35979413411[/C][C]-144.859794134106[/C][/ROW]
[ROW][C]104[/C][C]6292.3[/C][C]6241.62444404902[/C][C]50.6755559509793[/C][/ROW]
[ROW][C]105[/C][C]6419.8[/C][C]6271.61680014882[/C][C]148.183199851182[/C][/ROW]
[ROW][C]106[/C][C]6273.7[/C][C]6359.3191097642[/C][C]-85.6191097641959[/C][/ROW]
[ROW][C]107[/C][C]6344.8[/C][C]6308.64539181861[/C][C]36.1546081813858[/C][/ROW]
[ROW][C]108[/C][C]6490.4[/C][C]6330.04351686876[/C][C]160.356483131238[/C][/ROW]
[ROW][C]109[/C][C]6355.4[/C][C]6424.95059099412[/C][C]-69.5505909941203[/C][/ROW]
[ROW][C]110[/C][C]6383.1[/C][C]6383.78703485939[/C][C]-0.687034859384767[/C][/ROW]
[ROW][C]111[/C][C]6377.3[/C][C]6383.38041289404[/C][C]-6.08041289404173[/C][/ROW]
[ROW][C]112[/C][C]6324.9[/C][C]6379.78171712584[/C][C]-54.8817171258434[/C][/ROW]
[ROW][C]113[/C][C]6342.2[/C][C]6347.2999421849[/C][C]-5.09994218490374[/C][/ROW]
[ROW][C]114[/C][C]6364.1[/C][C]6344.28153855365[/C][C]19.8184614463462[/C][/ROW]
[ROW][C]115[/C][C]6249.5[/C][C]6356.01110603238[/C][C]-106.51110603238[/C][/ROW]
[ROW][C]116[/C][C]6439.2[/C][C]6292.97244842403[/C][C]146.227551575967[/C][/ROW]
[ROW][C]117[/C][C]6409.4[/C][C]6379.51730651519[/C][C]29.8826934848112[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300585&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300585&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
24649.24751.5-102.3
34664.94690.95368784948-26.0536878494768
44691.34675.5337981407115.7662018592891
54713.74684.8650335190228.834966480983
64772.84701.9310245396270.868975460382
74748.94743.874867257235.02513274276589
848014746.8489948783654.1510051216392
94891.94778.89829751139113.001702488606
104891.94845.7784182583746.1215817416287
114903.54873.0755021782630.4244978217412
124976.44891.0822582108985.3177417891111
135009.84941.5776113520668.2223886479451
144946.44981.9550701862-35.5550701861985
154981.94960.9117820334420.9882179665619
165013.84973.3336705621440.4663294378561
175015.54997.283690246718.2163097532975
185070.75008.0650233508462.6349766491549
195000.95045.13556927206-44.2355692720621
205059.15018.9547228859240.1452771140812
215156.85042.71472757329114.085272426707
225002.65110.23615979348-107.636159793477
235059.15046.5316384881112.5683615118942
245164.15053.97023027031110.129769729687
255087.95119.1505960095-31.2505960095023
265140.85100.6549133029440.1450866970599
275192.85124.4148052918968.3851947081057
285177.65164.888620983712.7113790163039
295167.85172.41185775579-4.61185775578542
305248.45169.6823271665878.717672833418
315097.55216.27142580915-118.771425809152
325187.35145.9764910916241.3235089083819
335261.55170.4338329246891.0661670753234
345179.75224.33139478288-44.6313947828812
355205.65197.916278847037.68372115297097
365353.35202.46389350397150.836106496027
375425.75291.73632739916133.963672600836
385215.25371.0228018676-155.822801867597
395215.65278.79898953089-63.1989895308934
405216.45241.39463227053-24.9946322705309
415208.25226.60154519781-18.4015451978121
425237.55215.7105803923521.7894196076495
4351755228.60666055993-53.6066605599317
445300.25196.87952855985103.320471440154
455279.35258.0298073023221.2701926976833
465262.65270.61858273316-8.01858273316429
475220.55265.87278006291-45.3727800629113
485372.15239.0188748349133.081125165105
4954065317.7830131104588.2169868895489
505317.25369.99428608399-52.794286083993
515258.45338.74795837133-80.3479583713297
525204.25291.19397432238-86.9939743223777
535304.25239.7065420199664.4934579800401
545300.25277.8770311551122.3229688448873
555228.85291.08889273682-62.2888927368231
565303.35254.2231767724649.0768232275386
5752965283.2693220167512.7306779832506
585341.15290.8039808932150.2960191067923
595354.85320.5717078997434.228292100257
605447.85340.82974170113106.970258298874
615405.65404.140148834911.45985116509291
625333.45405.00416256252-71.6041625625221
635291.95362.62519894779-70.7251989477882
645414.45320.7664504394793.6335495605272
655317.25376.18351905583-58.9835190558288
665380.55341.2740903511339.2259096488688
675431.55364.4899668906167.01003310939
685363.55404.14989242197-40.6498924219686
695435.45380.0912308827155.3087691172859
705499.85412.8257567833686.9742432166377
715447.45464.30151121982-16.9015112198249
7256335454.29834236224178.701657637762
735617.45560.0630182679357.3369817320727
745567.85593.99794293771-26.1979429377106
7555745578.49267577439-4.49267577438513
765710.45575.83368310745134.566316892546
775583.15655.47683293661-72.3768329366067
785610.85612.64056392931-1.84056392931325
795620.15611.551225139518.54877486049372
805759.45616.61082231652142.789177683484
815838.75701.12067689854137.579323101462
825843.35782.5470761356760.7529238643283
8358215818.503728064772.49627193523156
845895.15819.9811480041975.1188519958077
855881.65864.4402825235217.1597174764811
865827.75874.59627089836-46.8962708983563
875865.95846.8406867682719.0593132317263
885918.45858.1209519520760.2790480479271
895875.25893.7971402145-18.5971402144996
906078.45882.79041238914195.609587610858
915986.35998.56205609513-12.2620560951264
926019.75991.3047513449528.395248655047
936255.76008.11049512462247.589504875377
946128.46154.64648190251-26.2464819025136
9562106139.1124869257570.8875130742481
966301.86181.06730114049120.73269885951
976305.76252.5230164085653.1769835914447
986261.26283.9958438548-22.7958438548003
996200.56270.5041109343-70.0041109342983
1006185.56229.07213876961-43.5721387696067
1016237.46203.2839440969734.1160559030277
10263996223.47555084232175.524449157678
1036182.56327.35979413411-144.859794134106
1046292.36241.6244440490250.6755559509793
1056419.86271.61680014882148.183199851182
1066273.76359.3191097642-85.6191097641959
1076344.86308.6453918186136.1546081813858
1086490.46330.04351686876160.356483131238
1096355.46424.95059099412-69.5505909941203
1106383.16383.78703485939-0.687034859384767
1116377.36383.38041289404-6.08041289404173
1126324.96379.78171712584-54.8817171258434
1136342.26347.2999421849-5.09994218490374
1146364.16344.2815385536519.8184614463462
1156249.56356.01110603238-106.51110603238
1166439.26292.97244842403146.227551575967
1176409.46379.5173065151929.8826934848112







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1186397.203395348326248.185154472366546.22163622429
1196397.203395348326224.041436878116570.36535381854
1206397.203395348326202.874571936276591.53221876038
1216397.203395348326183.796930225586610.60986047107
1226397.203395348326166.290106203556628.1166844931
1236397.203395348326150.020113447766644.38667724889
1246397.203395348326134.756824407486659.64996628917
1256397.203395348326120.333696128496674.07309456815
1266397.203395348326106.625594934136687.78119576252
1276397.203395348326093.535672596926700.87111809973
1286397.203395348326080.987150369516713.41964032714
1296397.203395348326068.917938259576725.48885243708

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
118 & 6397.20339534832 & 6248.18515447236 & 6546.22163622429 \tabularnewline
119 & 6397.20339534832 & 6224.04143687811 & 6570.36535381854 \tabularnewline
120 & 6397.20339534832 & 6202.87457193627 & 6591.53221876038 \tabularnewline
121 & 6397.20339534832 & 6183.79693022558 & 6610.60986047107 \tabularnewline
122 & 6397.20339534832 & 6166.29010620355 & 6628.1166844931 \tabularnewline
123 & 6397.20339534832 & 6150.02011344776 & 6644.38667724889 \tabularnewline
124 & 6397.20339534832 & 6134.75682440748 & 6659.64996628917 \tabularnewline
125 & 6397.20339534832 & 6120.33369612849 & 6674.07309456815 \tabularnewline
126 & 6397.20339534832 & 6106.62559493413 & 6687.78119576252 \tabularnewline
127 & 6397.20339534832 & 6093.53567259692 & 6700.87111809973 \tabularnewline
128 & 6397.20339534832 & 6080.98715036951 & 6713.41964032714 \tabularnewline
129 & 6397.20339534832 & 6068.91793825957 & 6725.48885243708 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300585&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]6397.20339534832[/C][C]6248.18515447236[/C][C]6546.22163622429[/C][/ROW]
[ROW][C]119[/C][C]6397.20339534832[/C][C]6224.04143687811[/C][C]6570.36535381854[/C][/ROW]
[ROW][C]120[/C][C]6397.20339534832[/C][C]6202.87457193627[/C][C]6591.53221876038[/C][/ROW]
[ROW][C]121[/C][C]6397.20339534832[/C][C]6183.79693022558[/C][C]6610.60986047107[/C][/ROW]
[ROW][C]122[/C][C]6397.20339534832[/C][C]6166.29010620355[/C][C]6628.1166844931[/C][/ROW]
[ROW][C]123[/C][C]6397.20339534832[/C][C]6150.02011344776[/C][C]6644.38667724889[/C][/ROW]
[ROW][C]124[/C][C]6397.20339534832[/C][C]6134.75682440748[/C][C]6659.64996628917[/C][/ROW]
[ROW][C]125[/C][C]6397.20339534832[/C][C]6120.33369612849[/C][C]6674.07309456815[/C][/ROW]
[ROW][C]126[/C][C]6397.20339534832[/C][C]6106.62559493413[/C][C]6687.78119576252[/C][/ROW]
[ROW][C]127[/C][C]6397.20339534832[/C][C]6093.53567259692[/C][C]6700.87111809973[/C][/ROW]
[ROW][C]128[/C][C]6397.20339534832[/C][C]6080.98715036951[/C][C]6713.41964032714[/C][/ROW]
[ROW][C]129[/C][C]6397.20339534832[/C][C]6068.91793825957[/C][C]6725.48885243708[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300585&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300585&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
1186397.203395348326248.185154472366546.22163622429
1196397.203395348326224.041436878116570.36535381854
1206397.203395348326202.874571936276591.53221876038
1216397.203395348326183.796930225586610.60986047107
1226397.203395348326166.290106203556628.1166844931
1236397.203395348326150.020113447766644.38667724889
1246397.203395348326134.756824407486659.64996628917
1256397.203395348326120.333696128496674.07309456815
1266397.203395348326106.625594934136687.78119576252
1276397.203395348326093.535672596926700.87111809973
1286397.203395348326080.987150369516713.41964032714
1296397.203395348326068.917938259576725.48885243708



Parameters (Session):
par1 = 12 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 2 ; par7 = 1 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
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')