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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 17 Aug 2011 03:08:39 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Aug/17/t1313564999kpq91tkr9a1vw3p.htm/, Retrieved Tue, 21 May 2024 18:20:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123909, Retrieved Tue, 21 May 2024 18:20:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsAnouk Rosa
Estimated Impact147
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2011-08-17 07:08:39] [28a0ae8c0382a867cd62299aa3b77f4e] [Current]
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Dataseries X:
161949
161634
161287
160652
167176
166856
161949
158687
159007
159007
159323
159990
159990
157043
155745
157043
161634
160967
154763
149510
148527
146563
147892
149510
148874
147545
144950
147545
149856
149190
141656
138394
135132
132505
132190
134150
131523
130541
129559
135132
135768
132505
123670
119745
113541
110910
112208
114172
114172
112559
112208
117465
121710
119745
113190
109932
103061
98817
102079
105341
105341
101097
100781
106319
109932
108630
102079
97835
88652
85075
86372
91946
92261
84092
87039
94226
97488
95523
86692
80484
73297
67724
70004
74910
73613
66426
68706
75893
79821
77541
68706
64782
58893
52684
53666
58573
59208
53319
54302
62502
64462
61173
49075
42871
34671
26502
29129
32706
32075
25835
29444
38280
42204
40244
32391
26186
19631
12093
13427
15707





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=123909&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=123909&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123909&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123909&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]0.999933893038648[/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=123909&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123909&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2161634161949-315
3161287161634.020823693-347.020823692816
4160652161287.022940492-635.02294049217
5167176160652.0419794376523.958020563
6166856167175.568720959-319.568720959272
7161949166856.021125717-4907.02112571709
8158687161949.324388256-3262.32438825592
9159007158687.215662352319.784337647754
10159007159006.9788600290.0211399708641693
11159323159006.999998602316.000001397508
12159990159322.9791102667.020889799867
13159990159989.9559052760.0440947241731919
14157043159989.999997085-2946.99999708502
15155745157043.194817215-1298.19481721491
16157043155745.0858197151297.91418028538
17161634157042.9141988374591.08580116255
18160967161633.696497268-666.696497268393
19154763160967.04407328-6204.04407327957
20149510154763.410130502-5253.41013050178
21148527149510.34728698-983.347286980454
22146563148527.065006101-1964.0650061011
23147892146563.1298383691328.87016163056
24149510147891.9121524321618.08784756841
25148874149509.893033129-635.893033129192
26147545148874.042036956-1329.04203695618
27144950147545.087858931-2595.08785893058
28147545144950.1715533732594.82844662722
29149856147544.8284637762311.17153622385
30149190149855.847215473-665.847215472575
31141656149190.044017136-7534.04401713613
32138394141656.498052757-3262.49805275665
33135132138394.215673833-3262.21567383269
34132505135132.215655165-2627.21565516546
35132190132505.173677244-315.173677243787
36134150132190.0208351741959.9791648259
37131523134149.870431733-2626.87043173311
38130541131523.173654422-982.173654422106
39129559130541.064928516-982.064928515814
40135132129559.0649213285572.93507867173
41135768135131.631590196636.368409803865
42132505135767.957931618-3262.95793161812
43123670132505.215704234-8835.21570423388
44119745123670.584069263-3925.5840692631
45113541119745.259508434-6204.25950843435
46110910113541.410144744-2631.41014474354
47112208110910.1739545291297.82604547126
48114172112207.9142046641964.08579533623
49114172114171.8701602560.129839743764023
50112559114171.999991417-1612.99999141668
51112208112559.106630528-351.106630528098
52117465112208.0232105925256.97678940755
53121710117464.6524772394245.34752276144
54119745121709.719352975-1964.71935297539
55113190119745.129881626-6555.12988162633
56109932113190.433339718-3258.43333971774
57103061109932.215405127-6871.21540512686
5898817103061.454235171-4244.45423517123
5910207998817.28058797213261.71941202792
60105341102078.7843776413262.21562235912
61105341105340.7843448380.215655162071926
62101097105340.999985744-4243.99998574369
63100781101097.280557943-316.280557943028
64106319100781.0209083475537.97909165338
65109932106318.633901033613.36609896978
66108630109931.761131347-1301.76113134694
67102079108630.086055473-6551.0860554728
6897835102079.433072393-4244.43307239268
698865297835.2805865731-9183.28058657308
708507588652.6070787748-3577.60707877482
718637285075.23650473291296.76349526711
729194686371.91427490575574.08572509426
739226191945.6315141304315.368485869607
748409292260.9791519477-8168.97915194769
758703984092.54002638912946.45997361092
769422687038.80521848447187.1947815156
779748894225.52487639233262.47512360766
789552397487.7843276831-1964.7843276831
798669295523.1298859216-8831.12988592162
808048486692.5837991621-6208.58379916206
817329780484.4104306093-7187.41043060926
826772473297.4751378636-5573.47513786356
837000467724.36844550552279.63155449447
847491070003.84930048494906.15069951507
857361374909.6756692853-1296.67566928532
866642673613.0857192884-7187.08571928836
876870666426.47511639792279.52488360212
887589368705.84930753667187.15069246339
897982175892.52487930693928.47512069305
907754179820.740300447-2279.74030044703
916870677541.1507067039-8835.15070670393
926478268706.5840649663-3924.5840649663
935889364782.2594423271-5889.25944232711
945268458893.3893210463-6209.38932104634
955366652684.4104838599981.589516140135
965857353665.93511009984907.0648899002
975920858572.675608851635.324391149028
985331959207.958000635-5888.95800063503
995430253319.389301119982.61069888105
1006250254301.93504259258200.06495740749
1016446262501.45791862281960.54208137722
1026117364461.8703945204-3288.8703945204
1034907561173.2174172281-12098.2174172281
1044287149075.7997763912-6204.79977639123
1053467142871.410180459-8200.41018045902
1062650234671.5421041989-8169.54210419887
1072912926502.54006360412626.45993639586
1083270629128.82637271453577.17362728551
1093207532705.7635239213-630.763523921272
1102583532075.0416978599-6240.0416978599
1112944425835.41251019543608.58748980465
1123828029443.76144724638836.23855275372
1134220438279.41586311953924.5841368805
1144024442203.7405576681-1959.74055766814
1153239140244.1295524933-7853.12955249331
1162618632391.5191465318-6205.51914653182
1171963126186.4102280144-6555.41022801439
1181209319631.4333582506-7538.43335825059
1191342712093.49834292271333.50165707733
1201570713426.91184625752280.08815374251

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 161634 & 161949 & -315 \tabularnewline
3 & 161287 & 161634.020823693 & -347.020823692816 \tabularnewline
4 & 160652 & 161287.022940492 & -635.02294049217 \tabularnewline
5 & 167176 & 160652.041979437 & 6523.958020563 \tabularnewline
6 & 166856 & 167175.568720959 & -319.568720959272 \tabularnewline
7 & 161949 & 166856.021125717 & -4907.02112571709 \tabularnewline
8 & 158687 & 161949.324388256 & -3262.32438825592 \tabularnewline
9 & 159007 & 158687.215662352 & 319.784337647754 \tabularnewline
10 & 159007 & 159006.978860029 & 0.0211399708641693 \tabularnewline
11 & 159323 & 159006.999998602 & 316.000001397508 \tabularnewline
12 & 159990 & 159322.9791102 & 667.020889799867 \tabularnewline
13 & 159990 & 159989.955905276 & 0.0440947241731919 \tabularnewline
14 & 157043 & 159989.999997085 & -2946.99999708502 \tabularnewline
15 & 155745 & 157043.194817215 & -1298.19481721491 \tabularnewline
16 & 157043 & 155745.085819715 & 1297.91418028538 \tabularnewline
17 & 161634 & 157042.914198837 & 4591.08580116255 \tabularnewline
18 & 160967 & 161633.696497268 & -666.696497268393 \tabularnewline
19 & 154763 & 160967.04407328 & -6204.04407327957 \tabularnewline
20 & 149510 & 154763.410130502 & -5253.41013050178 \tabularnewline
21 & 148527 & 149510.34728698 & -983.347286980454 \tabularnewline
22 & 146563 & 148527.065006101 & -1964.0650061011 \tabularnewline
23 & 147892 & 146563.129838369 & 1328.87016163056 \tabularnewline
24 & 149510 & 147891.912152432 & 1618.08784756841 \tabularnewline
25 & 148874 & 149509.893033129 & -635.893033129192 \tabularnewline
26 & 147545 & 148874.042036956 & -1329.04203695618 \tabularnewline
27 & 144950 & 147545.087858931 & -2595.08785893058 \tabularnewline
28 & 147545 & 144950.171553373 & 2594.82844662722 \tabularnewline
29 & 149856 & 147544.828463776 & 2311.17153622385 \tabularnewline
30 & 149190 & 149855.847215473 & -665.847215472575 \tabularnewline
31 & 141656 & 149190.044017136 & -7534.04401713613 \tabularnewline
32 & 138394 & 141656.498052757 & -3262.49805275665 \tabularnewline
33 & 135132 & 138394.215673833 & -3262.21567383269 \tabularnewline
34 & 132505 & 135132.215655165 & -2627.21565516546 \tabularnewline
35 & 132190 & 132505.173677244 & -315.173677243787 \tabularnewline
36 & 134150 & 132190.020835174 & 1959.9791648259 \tabularnewline
37 & 131523 & 134149.870431733 & -2626.87043173311 \tabularnewline
38 & 130541 & 131523.173654422 & -982.173654422106 \tabularnewline
39 & 129559 & 130541.064928516 & -982.064928515814 \tabularnewline
40 & 135132 & 129559.064921328 & 5572.93507867173 \tabularnewline
41 & 135768 & 135131.631590196 & 636.368409803865 \tabularnewline
42 & 132505 & 135767.957931618 & -3262.95793161812 \tabularnewline
43 & 123670 & 132505.215704234 & -8835.21570423388 \tabularnewline
44 & 119745 & 123670.584069263 & -3925.5840692631 \tabularnewline
45 & 113541 & 119745.259508434 & -6204.25950843435 \tabularnewline
46 & 110910 & 113541.410144744 & -2631.41014474354 \tabularnewline
47 & 112208 & 110910.173954529 & 1297.82604547126 \tabularnewline
48 & 114172 & 112207.914204664 & 1964.08579533623 \tabularnewline
49 & 114172 & 114171.870160256 & 0.129839743764023 \tabularnewline
50 & 112559 & 114171.999991417 & -1612.99999141668 \tabularnewline
51 & 112208 & 112559.106630528 & -351.106630528098 \tabularnewline
52 & 117465 & 112208.023210592 & 5256.97678940755 \tabularnewline
53 & 121710 & 117464.652477239 & 4245.34752276144 \tabularnewline
54 & 119745 & 121709.719352975 & -1964.71935297539 \tabularnewline
55 & 113190 & 119745.129881626 & -6555.12988162633 \tabularnewline
56 & 109932 & 113190.433339718 & -3258.43333971774 \tabularnewline
57 & 103061 & 109932.215405127 & -6871.21540512686 \tabularnewline
58 & 98817 & 103061.454235171 & -4244.45423517123 \tabularnewline
59 & 102079 & 98817.2805879721 & 3261.71941202792 \tabularnewline
60 & 105341 & 102078.784377641 & 3262.21562235912 \tabularnewline
61 & 105341 & 105340.784344838 & 0.215655162071926 \tabularnewline
62 & 101097 & 105340.999985744 & -4243.99998574369 \tabularnewline
63 & 100781 & 101097.280557943 & -316.280557943028 \tabularnewline
64 & 106319 & 100781.020908347 & 5537.97909165338 \tabularnewline
65 & 109932 & 106318.63390103 & 3613.36609896978 \tabularnewline
66 & 108630 & 109931.761131347 & -1301.76113134694 \tabularnewline
67 & 102079 & 108630.086055473 & -6551.0860554728 \tabularnewline
68 & 97835 & 102079.433072393 & -4244.43307239268 \tabularnewline
69 & 88652 & 97835.2805865731 & -9183.28058657308 \tabularnewline
70 & 85075 & 88652.6070787748 & -3577.60707877482 \tabularnewline
71 & 86372 & 85075.2365047329 & 1296.76349526711 \tabularnewline
72 & 91946 & 86371.9142749057 & 5574.08572509426 \tabularnewline
73 & 92261 & 91945.6315141304 & 315.368485869607 \tabularnewline
74 & 84092 & 92260.9791519477 & -8168.97915194769 \tabularnewline
75 & 87039 & 84092.5400263891 & 2946.45997361092 \tabularnewline
76 & 94226 & 87038.8052184844 & 7187.1947815156 \tabularnewline
77 & 97488 & 94225.5248763923 & 3262.47512360766 \tabularnewline
78 & 95523 & 97487.7843276831 & -1964.7843276831 \tabularnewline
79 & 86692 & 95523.1298859216 & -8831.12988592162 \tabularnewline
80 & 80484 & 86692.5837991621 & -6208.58379916206 \tabularnewline
81 & 73297 & 80484.4104306093 & -7187.41043060926 \tabularnewline
82 & 67724 & 73297.4751378636 & -5573.47513786356 \tabularnewline
83 & 70004 & 67724.3684455055 & 2279.63155449447 \tabularnewline
84 & 74910 & 70003.8493004849 & 4906.15069951507 \tabularnewline
85 & 73613 & 74909.6756692853 & -1296.67566928532 \tabularnewline
86 & 66426 & 73613.0857192884 & -7187.08571928836 \tabularnewline
87 & 68706 & 66426.4751163979 & 2279.52488360212 \tabularnewline
88 & 75893 & 68705.8493075366 & 7187.15069246339 \tabularnewline
89 & 79821 & 75892.5248793069 & 3928.47512069305 \tabularnewline
90 & 77541 & 79820.740300447 & -2279.74030044703 \tabularnewline
91 & 68706 & 77541.1507067039 & -8835.15070670393 \tabularnewline
92 & 64782 & 68706.5840649663 & -3924.5840649663 \tabularnewline
93 & 58893 & 64782.2594423271 & -5889.25944232711 \tabularnewline
94 & 52684 & 58893.3893210463 & -6209.38932104634 \tabularnewline
95 & 53666 & 52684.4104838599 & 981.589516140135 \tabularnewline
96 & 58573 & 53665.9351100998 & 4907.0648899002 \tabularnewline
97 & 59208 & 58572.675608851 & 635.324391149028 \tabularnewline
98 & 53319 & 59207.958000635 & -5888.95800063503 \tabularnewline
99 & 54302 & 53319.389301119 & 982.61069888105 \tabularnewline
100 & 62502 & 54301.9350425925 & 8200.06495740749 \tabularnewline
101 & 64462 & 62501.4579186228 & 1960.54208137722 \tabularnewline
102 & 61173 & 64461.8703945204 & -3288.8703945204 \tabularnewline
103 & 49075 & 61173.2174172281 & -12098.2174172281 \tabularnewline
104 & 42871 & 49075.7997763912 & -6204.79977639123 \tabularnewline
105 & 34671 & 42871.410180459 & -8200.41018045902 \tabularnewline
106 & 26502 & 34671.5421041989 & -8169.54210419887 \tabularnewline
107 & 29129 & 26502.5400636041 & 2626.45993639586 \tabularnewline
108 & 32706 & 29128.8263727145 & 3577.17362728551 \tabularnewline
109 & 32075 & 32705.7635239213 & -630.763523921272 \tabularnewline
110 & 25835 & 32075.0416978599 & -6240.0416978599 \tabularnewline
111 & 29444 & 25835.4125101954 & 3608.58748980465 \tabularnewline
112 & 38280 & 29443.7614472463 & 8836.23855275372 \tabularnewline
113 & 42204 & 38279.4158631195 & 3924.5841368805 \tabularnewline
114 & 40244 & 42203.7405576681 & -1959.74055766814 \tabularnewline
115 & 32391 & 40244.1295524933 & -7853.12955249331 \tabularnewline
116 & 26186 & 32391.5191465318 & -6205.51914653182 \tabularnewline
117 & 19631 & 26186.4102280144 & -6555.41022801439 \tabularnewline
118 & 12093 & 19631.4333582506 & -7538.43335825059 \tabularnewline
119 & 13427 & 12093.4983429227 & 1333.50165707733 \tabularnewline
120 & 15707 & 13426.9118462575 & 2280.08815374251 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123909&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]161634[/C][C]161949[/C][C]-315[/C][/ROW]
[ROW][C]3[/C][C]161287[/C][C]161634.020823693[/C][C]-347.020823692816[/C][/ROW]
[ROW][C]4[/C][C]160652[/C][C]161287.022940492[/C][C]-635.02294049217[/C][/ROW]
[ROW][C]5[/C][C]167176[/C][C]160652.041979437[/C][C]6523.958020563[/C][/ROW]
[ROW][C]6[/C][C]166856[/C][C]167175.568720959[/C][C]-319.568720959272[/C][/ROW]
[ROW][C]7[/C][C]161949[/C][C]166856.021125717[/C][C]-4907.02112571709[/C][/ROW]
[ROW][C]8[/C][C]158687[/C][C]161949.324388256[/C][C]-3262.32438825592[/C][/ROW]
[ROW][C]9[/C][C]159007[/C][C]158687.215662352[/C][C]319.784337647754[/C][/ROW]
[ROW][C]10[/C][C]159007[/C][C]159006.978860029[/C][C]0.0211399708641693[/C][/ROW]
[ROW][C]11[/C][C]159323[/C][C]159006.999998602[/C][C]316.000001397508[/C][/ROW]
[ROW][C]12[/C][C]159990[/C][C]159322.9791102[/C][C]667.020889799867[/C][/ROW]
[ROW][C]13[/C][C]159990[/C][C]159989.955905276[/C][C]0.0440947241731919[/C][/ROW]
[ROW][C]14[/C][C]157043[/C][C]159989.999997085[/C][C]-2946.99999708502[/C][/ROW]
[ROW][C]15[/C][C]155745[/C][C]157043.194817215[/C][C]-1298.19481721491[/C][/ROW]
[ROW][C]16[/C][C]157043[/C][C]155745.085819715[/C][C]1297.91418028538[/C][/ROW]
[ROW][C]17[/C][C]161634[/C][C]157042.914198837[/C][C]4591.08580116255[/C][/ROW]
[ROW][C]18[/C][C]160967[/C][C]161633.696497268[/C][C]-666.696497268393[/C][/ROW]
[ROW][C]19[/C][C]154763[/C][C]160967.04407328[/C][C]-6204.04407327957[/C][/ROW]
[ROW][C]20[/C][C]149510[/C][C]154763.410130502[/C][C]-5253.41013050178[/C][/ROW]
[ROW][C]21[/C][C]148527[/C][C]149510.34728698[/C][C]-983.347286980454[/C][/ROW]
[ROW][C]22[/C][C]146563[/C][C]148527.065006101[/C][C]-1964.0650061011[/C][/ROW]
[ROW][C]23[/C][C]147892[/C][C]146563.129838369[/C][C]1328.87016163056[/C][/ROW]
[ROW][C]24[/C][C]149510[/C][C]147891.912152432[/C][C]1618.08784756841[/C][/ROW]
[ROW][C]25[/C][C]148874[/C][C]149509.893033129[/C][C]-635.893033129192[/C][/ROW]
[ROW][C]26[/C][C]147545[/C][C]148874.042036956[/C][C]-1329.04203695618[/C][/ROW]
[ROW][C]27[/C][C]144950[/C][C]147545.087858931[/C][C]-2595.08785893058[/C][/ROW]
[ROW][C]28[/C][C]147545[/C][C]144950.171553373[/C][C]2594.82844662722[/C][/ROW]
[ROW][C]29[/C][C]149856[/C][C]147544.828463776[/C][C]2311.17153622385[/C][/ROW]
[ROW][C]30[/C][C]149190[/C][C]149855.847215473[/C][C]-665.847215472575[/C][/ROW]
[ROW][C]31[/C][C]141656[/C][C]149190.044017136[/C][C]-7534.04401713613[/C][/ROW]
[ROW][C]32[/C][C]138394[/C][C]141656.498052757[/C][C]-3262.49805275665[/C][/ROW]
[ROW][C]33[/C][C]135132[/C][C]138394.215673833[/C][C]-3262.21567383269[/C][/ROW]
[ROW][C]34[/C][C]132505[/C][C]135132.215655165[/C][C]-2627.21565516546[/C][/ROW]
[ROW][C]35[/C][C]132190[/C][C]132505.173677244[/C][C]-315.173677243787[/C][/ROW]
[ROW][C]36[/C][C]134150[/C][C]132190.020835174[/C][C]1959.9791648259[/C][/ROW]
[ROW][C]37[/C][C]131523[/C][C]134149.870431733[/C][C]-2626.87043173311[/C][/ROW]
[ROW][C]38[/C][C]130541[/C][C]131523.173654422[/C][C]-982.173654422106[/C][/ROW]
[ROW][C]39[/C][C]129559[/C][C]130541.064928516[/C][C]-982.064928515814[/C][/ROW]
[ROW][C]40[/C][C]135132[/C][C]129559.064921328[/C][C]5572.93507867173[/C][/ROW]
[ROW][C]41[/C][C]135768[/C][C]135131.631590196[/C][C]636.368409803865[/C][/ROW]
[ROW][C]42[/C][C]132505[/C][C]135767.957931618[/C][C]-3262.95793161812[/C][/ROW]
[ROW][C]43[/C][C]123670[/C][C]132505.215704234[/C][C]-8835.21570423388[/C][/ROW]
[ROW][C]44[/C][C]119745[/C][C]123670.584069263[/C][C]-3925.5840692631[/C][/ROW]
[ROW][C]45[/C][C]113541[/C][C]119745.259508434[/C][C]-6204.25950843435[/C][/ROW]
[ROW][C]46[/C][C]110910[/C][C]113541.410144744[/C][C]-2631.41014474354[/C][/ROW]
[ROW][C]47[/C][C]112208[/C][C]110910.173954529[/C][C]1297.82604547126[/C][/ROW]
[ROW][C]48[/C][C]114172[/C][C]112207.914204664[/C][C]1964.08579533623[/C][/ROW]
[ROW][C]49[/C][C]114172[/C][C]114171.870160256[/C][C]0.129839743764023[/C][/ROW]
[ROW][C]50[/C][C]112559[/C][C]114171.999991417[/C][C]-1612.99999141668[/C][/ROW]
[ROW][C]51[/C][C]112208[/C][C]112559.106630528[/C][C]-351.106630528098[/C][/ROW]
[ROW][C]52[/C][C]117465[/C][C]112208.023210592[/C][C]5256.97678940755[/C][/ROW]
[ROW][C]53[/C][C]121710[/C][C]117464.652477239[/C][C]4245.34752276144[/C][/ROW]
[ROW][C]54[/C][C]119745[/C][C]121709.719352975[/C][C]-1964.71935297539[/C][/ROW]
[ROW][C]55[/C][C]113190[/C][C]119745.129881626[/C][C]-6555.12988162633[/C][/ROW]
[ROW][C]56[/C][C]109932[/C][C]113190.433339718[/C][C]-3258.43333971774[/C][/ROW]
[ROW][C]57[/C][C]103061[/C][C]109932.215405127[/C][C]-6871.21540512686[/C][/ROW]
[ROW][C]58[/C][C]98817[/C][C]103061.454235171[/C][C]-4244.45423517123[/C][/ROW]
[ROW][C]59[/C][C]102079[/C][C]98817.2805879721[/C][C]3261.71941202792[/C][/ROW]
[ROW][C]60[/C][C]105341[/C][C]102078.784377641[/C][C]3262.21562235912[/C][/ROW]
[ROW][C]61[/C][C]105341[/C][C]105340.784344838[/C][C]0.215655162071926[/C][/ROW]
[ROW][C]62[/C][C]101097[/C][C]105340.999985744[/C][C]-4243.99998574369[/C][/ROW]
[ROW][C]63[/C][C]100781[/C][C]101097.280557943[/C][C]-316.280557943028[/C][/ROW]
[ROW][C]64[/C][C]106319[/C][C]100781.020908347[/C][C]5537.97909165338[/C][/ROW]
[ROW][C]65[/C][C]109932[/C][C]106318.63390103[/C][C]3613.36609896978[/C][/ROW]
[ROW][C]66[/C][C]108630[/C][C]109931.761131347[/C][C]-1301.76113134694[/C][/ROW]
[ROW][C]67[/C][C]102079[/C][C]108630.086055473[/C][C]-6551.0860554728[/C][/ROW]
[ROW][C]68[/C][C]97835[/C][C]102079.433072393[/C][C]-4244.43307239268[/C][/ROW]
[ROW][C]69[/C][C]88652[/C][C]97835.2805865731[/C][C]-9183.28058657308[/C][/ROW]
[ROW][C]70[/C][C]85075[/C][C]88652.6070787748[/C][C]-3577.60707877482[/C][/ROW]
[ROW][C]71[/C][C]86372[/C][C]85075.2365047329[/C][C]1296.76349526711[/C][/ROW]
[ROW][C]72[/C][C]91946[/C][C]86371.9142749057[/C][C]5574.08572509426[/C][/ROW]
[ROW][C]73[/C][C]92261[/C][C]91945.6315141304[/C][C]315.368485869607[/C][/ROW]
[ROW][C]74[/C][C]84092[/C][C]92260.9791519477[/C][C]-8168.97915194769[/C][/ROW]
[ROW][C]75[/C][C]87039[/C][C]84092.5400263891[/C][C]2946.45997361092[/C][/ROW]
[ROW][C]76[/C][C]94226[/C][C]87038.8052184844[/C][C]7187.1947815156[/C][/ROW]
[ROW][C]77[/C][C]97488[/C][C]94225.5248763923[/C][C]3262.47512360766[/C][/ROW]
[ROW][C]78[/C][C]95523[/C][C]97487.7843276831[/C][C]-1964.7843276831[/C][/ROW]
[ROW][C]79[/C][C]86692[/C][C]95523.1298859216[/C][C]-8831.12988592162[/C][/ROW]
[ROW][C]80[/C][C]80484[/C][C]86692.5837991621[/C][C]-6208.58379916206[/C][/ROW]
[ROW][C]81[/C][C]73297[/C][C]80484.4104306093[/C][C]-7187.41043060926[/C][/ROW]
[ROW][C]82[/C][C]67724[/C][C]73297.4751378636[/C][C]-5573.47513786356[/C][/ROW]
[ROW][C]83[/C][C]70004[/C][C]67724.3684455055[/C][C]2279.63155449447[/C][/ROW]
[ROW][C]84[/C][C]74910[/C][C]70003.8493004849[/C][C]4906.15069951507[/C][/ROW]
[ROW][C]85[/C][C]73613[/C][C]74909.6756692853[/C][C]-1296.67566928532[/C][/ROW]
[ROW][C]86[/C][C]66426[/C][C]73613.0857192884[/C][C]-7187.08571928836[/C][/ROW]
[ROW][C]87[/C][C]68706[/C][C]66426.4751163979[/C][C]2279.52488360212[/C][/ROW]
[ROW][C]88[/C][C]75893[/C][C]68705.8493075366[/C][C]7187.15069246339[/C][/ROW]
[ROW][C]89[/C][C]79821[/C][C]75892.5248793069[/C][C]3928.47512069305[/C][/ROW]
[ROW][C]90[/C][C]77541[/C][C]79820.740300447[/C][C]-2279.74030044703[/C][/ROW]
[ROW][C]91[/C][C]68706[/C][C]77541.1507067039[/C][C]-8835.15070670393[/C][/ROW]
[ROW][C]92[/C][C]64782[/C][C]68706.5840649663[/C][C]-3924.5840649663[/C][/ROW]
[ROW][C]93[/C][C]58893[/C][C]64782.2594423271[/C][C]-5889.25944232711[/C][/ROW]
[ROW][C]94[/C][C]52684[/C][C]58893.3893210463[/C][C]-6209.38932104634[/C][/ROW]
[ROW][C]95[/C][C]53666[/C][C]52684.4104838599[/C][C]981.589516140135[/C][/ROW]
[ROW][C]96[/C][C]58573[/C][C]53665.9351100998[/C][C]4907.0648899002[/C][/ROW]
[ROW][C]97[/C][C]59208[/C][C]58572.675608851[/C][C]635.324391149028[/C][/ROW]
[ROW][C]98[/C][C]53319[/C][C]59207.958000635[/C][C]-5888.95800063503[/C][/ROW]
[ROW][C]99[/C][C]54302[/C][C]53319.389301119[/C][C]982.61069888105[/C][/ROW]
[ROW][C]100[/C][C]62502[/C][C]54301.9350425925[/C][C]8200.06495740749[/C][/ROW]
[ROW][C]101[/C][C]64462[/C][C]62501.4579186228[/C][C]1960.54208137722[/C][/ROW]
[ROW][C]102[/C][C]61173[/C][C]64461.8703945204[/C][C]-3288.8703945204[/C][/ROW]
[ROW][C]103[/C][C]49075[/C][C]61173.2174172281[/C][C]-12098.2174172281[/C][/ROW]
[ROW][C]104[/C][C]42871[/C][C]49075.7997763912[/C][C]-6204.79977639123[/C][/ROW]
[ROW][C]105[/C][C]34671[/C][C]42871.410180459[/C][C]-8200.41018045902[/C][/ROW]
[ROW][C]106[/C][C]26502[/C][C]34671.5421041989[/C][C]-8169.54210419887[/C][/ROW]
[ROW][C]107[/C][C]29129[/C][C]26502.5400636041[/C][C]2626.45993639586[/C][/ROW]
[ROW][C]108[/C][C]32706[/C][C]29128.8263727145[/C][C]3577.17362728551[/C][/ROW]
[ROW][C]109[/C][C]32075[/C][C]32705.7635239213[/C][C]-630.763523921272[/C][/ROW]
[ROW][C]110[/C][C]25835[/C][C]32075.0416978599[/C][C]-6240.0416978599[/C][/ROW]
[ROW][C]111[/C][C]29444[/C][C]25835.4125101954[/C][C]3608.58748980465[/C][/ROW]
[ROW][C]112[/C][C]38280[/C][C]29443.7614472463[/C][C]8836.23855275372[/C][/ROW]
[ROW][C]113[/C][C]42204[/C][C]38279.4158631195[/C][C]3924.5841368805[/C][/ROW]
[ROW][C]114[/C][C]40244[/C][C]42203.7405576681[/C][C]-1959.74055766814[/C][/ROW]
[ROW][C]115[/C][C]32391[/C][C]40244.1295524933[/C][C]-7853.12955249331[/C][/ROW]
[ROW][C]116[/C][C]26186[/C][C]32391.5191465318[/C][C]-6205.51914653182[/C][/ROW]
[ROW][C]117[/C][C]19631[/C][C]26186.4102280144[/C][C]-6555.41022801439[/C][/ROW]
[ROW][C]118[/C][C]12093[/C][C]19631.4333582506[/C][C]-7538.43335825059[/C][/ROW]
[ROW][C]119[/C][C]13427[/C][C]12093.4983429227[/C][C]1333.50165707733[/C][/ROW]
[ROW][C]120[/C][C]15707[/C][C]13426.9118462575[/C][C]2280.08815374251[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123909&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123909&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
2161634161949-315
3161287161634.020823693-347.020823692816
4160652161287.022940492-635.02294049217
5167176160652.0419794376523.958020563
6166856167175.568720959-319.568720959272
7161949166856.021125717-4907.02112571709
8158687161949.324388256-3262.32438825592
9159007158687.215662352319.784337647754
10159007159006.9788600290.0211399708641693
11159323159006.999998602316.000001397508
12159990159322.9791102667.020889799867
13159990159989.9559052760.0440947241731919
14157043159989.999997085-2946.99999708502
15155745157043.194817215-1298.19481721491
16157043155745.0858197151297.91418028538
17161634157042.9141988374591.08580116255
18160967161633.696497268-666.696497268393
19154763160967.04407328-6204.04407327957
20149510154763.410130502-5253.41013050178
21148527149510.34728698-983.347286980454
22146563148527.065006101-1964.0650061011
23147892146563.1298383691328.87016163056
24149510147891.9121524321618.08784756841
25148874149509.893033129-635.893033129192
26147545148874.042036956-1329.04203695618
27144950147545.087858931-2595.08785893058
28147545144950.1715533732594.82844662722
29149856147544.8284637762311.17153622385
30149190149855.847215473-665.847215472575
31141656149190.044017136-7534.04401713613
32138394141656.498052757-3262.49805275665
33135132138394.215673833-3262.21567383269
34132505135132.215655165-2627.21565516546
35132190132505.173677244-315.173677243787
36134150132190.0208351741959.9791648259
37131523134149.870431733-2626.87043173311
38130541131523.173654422-982.173654422106
39129559130541.064928516-982.064928515814
40135132129559.0649213285572.93507867173
41135768135131.631590196636.368409803865
42132505135767.957931618-3262.95793161812
43123670132505.215704234-8835.21570423388
44119745123670.584069263-3925.5840692631
45113541119745.259508434-6204.25950843435
46110910113541.410144744-2631.41014474354
47112208110910.1739545291297.82604547126
48114172112207.9142046641964.08579533623
49114172114171.8701602560.129839743764023
50112559114171.999991417-1612.99999141668
51112208112559.106630528-351.106630528098
52117465112208.0232105925256.97678940755
53121710117464.6524772394245.34752276144
54119745121709.719352975-1964.71935297539
55113190119745.129881626-6555.12988162633
56109932113190.433339718-3258.43333971774
57103061109932.215405127-6871.21540512686
5898817103061.454235171-4244.45423517123
5910207998817.28058797213261.71941202792
60105341102078.7843776413262.21562235912
61105341105340.7843448380.215655162071926
62101097105340.999985744-4243.99998574369
63100781101097.280557943-316.280557943028
64106319100781.0209083475537.97909165338
65109932106318.633901033613.36609896978
66108630109931.761131347-1301.76113134694
67102079108630.086055473-6551.0860554728
6897835102079.433072393-4244.43307239268
698865297835.2805865731-9183.28058657308
708507588652.6070787748-3577.60707877482
718637285075.23650473291296.76349526711
729194686371.91427490575574.08572509426
739226191945.6315141304315.368485869607
748409292260.9791519477-8168.97915194769
758703984092.54002638912946.45997361092
769422687038.80521848447187.1947815156
779748894225.52487639233262.47512360766
789552397487.7843276831-1964.7843276831
798669295523.1298859216-8831.12988592162
808048486692.5837991621-6208.58379916206
817329780484.4104306093-7187.41043060926
826772473297.4751378636-5573.47513786356
837000467724.36844550552279.63155449447
847491070003.84930048494906.15069951507
857361374909.6756692853-1296.67566928532
866642673613.0857192884-7187.08571928836
876870666426.47511639792279.52488360212
887589368705.84930753667187.15069246339
897982175892.52487930693928.47512069305
907754179820.740300447-2279.74030044703
916870677541.1507067039-8835.15070670393
926478268706.5840649663-3924.5840649663
935889364782.2594423271-5889.25944232711
945268458893.3893210463-6209.38932104634
955366652684.4104838599981.589516140135
965857353665.93511009984907.0648899002
975920858572.675608851635.324391149028
985331959207.958000635-5888.95800063503
995430253319.389301119982.61069888105
1006250254301.93504259258200.06495740749
1016446262501.45791862281960.54208137722
1026117364461.8703945204-3288.8703945204
1034907561173.2174172281-12098.2174172281
1044287149075.7997763912-6204.79977639123
1053467142871.410180459-8200.41018045902
1062650234671.5421041989-8169.54210419887
1072912926502.54006360412626.45993639586
1083270629128.82637271453577.17362728551
1093207532705.7635239213-630.763523921272
1102583532075.0416978599-6240.0416978599
1112944425835.41251019543608.58748980465
1123828029443.76144724638836.23855275372
1134220438279.41586311953924.5841368805
1144024442203.7405576681-1959.74055766814
1153239140244.1295524933-7853.12955249331
1162618632391.5191465318-6205.51914653182
1171963126186.4102280144-6555.41022801439
1181209319631.4333582506-7538.43335825059
1191342712093.49834292271333.50165707733
1201570713426.91184625752280.08815374251







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12115706.84927030057117.8537665530124295.8447740481
12215706.84927030053560.5768249556827853.1217156454
12315706.8492703005830.92829478806230582.770245813
12415706.8492703005-1470.2900556419632883.988596243
12515706.8492703005-3497.7128433220734911.4113839232
12615706.8492703005-5330.6481219544936744.3466625556
12715706.8492703005-7016.2092184303738429.9077590314
12815706.8492703005-8585.0933781463739998.7919187475
12915706.8492703005-10058.623133452941472.321674054
13015706.8492703005-11452.323374346342866.0219149473
13115706.8492703005-12777.914188343144191.6127289442
13215706.8492703005-14044.50094860645458.199489207

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 15706.8492703005 & 7117.85376655301 & 24295.8447740481 \tabularnewline
122 & 15706.8492703005 & 3560.57682495568 & 27853.1217156454 \tabularnewline
123 & 15706.8492703005 & 830.928294788062 & 30582.770245813 \tabularnewline
124 & 15706.8492703005 & -1470.29005564196 & 32883.988596243 \tabularnewline
125 & 15706.8492703005 & -3497.71284332207 & 34911.4113839232 \tabularnewline
126 & 15706.8492703005 & -5330.64812195449 & 36744.3466625556 \tabularnewline
127 & 15706.8492703005 & -7016.20921843037 & 38429.9077590314 \tabularnewline
128 & 15706.8492703005 & -8585.09337814637 & 39998.7919187475 \tabularnewline
129 & 15706.8492703005 & -10058.6231334529 & 41472.321674054 \tabularnewline
130 & 15706.8492703005 & -11452.3233743463 & 42866.0219149473 \tabularnewline
131 & 15706.8492703005 & -12777.9141883431 & 44191.6127289442 \tabularnewline
132 & 15706.8492703005 & -14044.500948606 & 45458.199489207 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123909&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]121[/C][C]15706.8492703005[/C][C]7117.85376655301[/C][C]24295.8447740481[/C][/ROW]
[ROW][C]122[/C][C]15706.8492703005[/C][C]3560.57682495568[/C][C]27853.1217156454[/C][/ROW]
[ROW][C]123[/C][C]15706.8492703005[/C][C]830.928294788062[/C][C]30582.770245813[/C][/ROW]
[ROW][C]124[/C][C]15706.8492703005[/C][C]-1470.29005564196[/C][C]32883.988596243[/C][/ROW]
[ROW][C]125[/C][C]15706.8492703005[/C][C]-3497.71284332207[/C][C]34911.4113839232[/C][/ROW]
[ROW][C]126[/C][C]15706.8492703005[/C][C]-5330.64812195449[/C][C]36744.3466625556[/C][/ROW]
[ROW][C]127[/C][C]15706.8492703005[/C][C]-7016.20921843037[/C][C]38429.9077590314[/C][/ROW]
[ROW][C]128[/C][C]15706.8492703005[/C][C]-8585.09337814637[/C][C]39998.7919187475[/C][/ROW]
[ROW][C]129[/C][C]15706.8492703005[/C][C]-10058.6231334529[/C][C]41472.321674054[/C][/ROW]
[ROW][C]130[/C][C]15706.8492703005[/C][C]-11452.3233743463[/C][C]42866.0219149473[/C][/ROW]
[ROW][C]131[/C][C]15706.8492703005[/C][C]-12777.9141883431[/C][C]44191.6127289442[/C][/ROW]
[ROW][C]132[/C][C]15706.8492703005[/C][C]-14044.500948606[/C][C]45458.199489207[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123909&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123909&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
12115706.84927030057117.8537665530124295.8447740481
12215706.84927030053560.5768249556827853.1217156454
12315706.8492703005830.92829478806230582.770245813
12415706.8492703005-1470.2900556419632883.988596243
12515706.8492703005-3497.7128433220734911.4113839232
12615706.8492703005-5330.6481219544936744.3466625556
12715706.8492703005-7016.2092184303738429.9077590314
12815706.8492703005-8585.0933781463739998.7919187475
12915706.8492703005-10058.623133452941472.321674054
13015706.8492703005-11452.323374346342866.0219149473
13115706.8492703005-12777.914188343144191.6127289442
13215706.8492703005-14044.50094860645458.199489207



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')