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 computationTue, 27 Nov 2012 15:49:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/27/t1354049430lf652k7ox1enhhm.htm/, Retrieved Sat, 04 May 2024 19:19:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194030, Retrieved Sat, 04 May 2024 19:19:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Workshop 8 - Sing...] [2012-11-27 20:49:07] [729cfeb7382ca95684eaaf6b24800101] [Current]
Feedback Forum

Post a new message
Dataseries X:
178421
139871
118159
109763
97415
119190
97903
96953
87888
84637
90549
95680
99371
79984
86752
85733
84906
78356
108895
101768
73285
65724
67457
67203
69273
80807
75129
74991
68157
73858
71349
85634
91624
116014
120033
108651
105378
138939
132974
135277
152741
158417
157460
193997
154089
147570
162924
153629
155907
197675
250708
266652
209842
165826
137152
150581
145973
126532
115437
119526
110856
97243
103876
116370
109616
98365
90440
88899
92358
88394
98219
113546
107168
77540
74944
75641
75910
87384
84615
80420
80784
79933
82118
91420
112426
114528
131025
116460
111258
155318
155078
134794
139985
198778
172436
169585
203702
282392
220658
194472
269246
215340
218319
195724
174614
172085
152347
189615
173804
145683
133550
121156
112040
120767
127019
136295
113425
107815
100298
97048
98750
98235
101254
139589
134921
80355
80396
82183
79709
90781




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194030&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194030&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.912866565535159
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.912866565535159 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194030&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]0.912866565535159[/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=194030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194030&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
alpha0.912866565535159
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2139871178421-38550
3118159143229.99389862-25070.9938986196
4109763120343.521803834-10580.5218038338
597415110684.917203198-13269.9172031982
611919098571.253460978720618.7465390213
797903117393.417799695-19490.417799695
89695399601.2670420421-2648.26704204209
98788897183.7526027532-9295.75260275317
108463788697.9708502134-4060.97085021337
119054984990.84633744075558.1536625593
129568090064.69898209795615.30101790212
139937195190.71953675634180.28046324373
147998499006.7578062113-19022.7578062113
158675281641.51822064815110.48177935195
168573386306.7061707951-573.706170795078
178490685782.988989035-876.988989035046
187835684982.4150626025-6626.41506260248
1910889578933.382302594129961.6176974059
20101768106284.341347902-4516.34134790246
2173285102161.524332858-28876.5243328583
226572475801.1107405295-10077.1107405295
236745766602.0532683049854.946731695134
246720367382.5055549829-179.505554982912
256927367218.64093551122054.35906448882
268080769093.996639087111713.0033609129
277512979786.4057892654-4657.40578926544
287499175534.8157621151-543.815762115133
296815775038.3845350692-6881.38453506921
307385868756.59866841385101.40133158618
317134973413.4973813954-2064.49738139538
328563471528.886747284614105.1132527154
339162484404.97303877547219.02696122463
3411601490994.981387374225019.0186126258
35120033113834.0069813426198.99301865787
36108651119492.860448061-10841.8604480608
37105378109595.688536828-4217.68853682805
38138939105745.50168771733193.4983122832
39132974136046.736490148-3072.73649014786
40135277133241.7380835922035.26191640797
41152741135099.66063918817641.3393608121
42158417151203.8495129337213.15048706735
43157460157788.49342475-328.493424750079
44193997157488.62276029836508.3772397024
45154089190815.899704367-36726.8997043667
46147570157289.140908487-9719.14090848723
47162924148416.86212740414507.1378725958
48153629161659.943252906-8030.94325290577
49155907154328.7636676181578.23633238208
50197675155769.48284796241905.5171520376
51250708194023.62836751856684.3716324823
52266652245768.8960191820883.1039808196
53209842264832.383427865-54990.3834278648
54165826214633.500970608-48807.5009706084
55137152170078.765187215-32926.7651872152
56150581140021.02213657910559.9778634206
57145973149660.872860887-3687.87286088747
58126532146294.337028239-19762.3370282388
59115437128253.960298322-12816.9602983221
60119526116553.7857701922972.21422980768
61110856119267.020766192-8411.02076619158
6297243111588.881126713-14345.8811267134
6310387698493.00589299495382.99410700513
64116370103406.96123575312963.0387642474
65109616115240.48591137-5624.48591137026
6698365110106.080774557-11741.0807745568
679044099388.0406922163-8948.04069221625
688889991219.673517244-2320.67351724395
699235889101.20825382913256.79174617093
708839492074.2245498194-3680.22454981938
719821988714.67060462769504.32939537242
7211354697390.855137496116155.1448625039
73107168112138.346743853-4970.34674385301
7477540107601.083382273-30061.083382273
757494480159.3254388314-5215.32543883141
767564175398.4292173372242.570782662762
777591075619.8639746058290.136025394226
788738475884.719451645411499.2805483546
798461586382.0281919471-1767.02819194713
808042084768.9672351606-4348.96723516055
818078480798.9404515746-14.9404515745991
827993380785.3018128581-852.301812858146
838211880007.26398415492110.73601584506
849142081934.08432169089485.91567830922
8511242690593.45958790521832.540412095
86114528110523.6557708024004.34422919826
87131025114179.0877345316845.9122654695
88116460129557.157807616-13097.1578076163
89111258117601.200341506-6343.20034150561
90155318111810.70483125443507.2951687461
91155078151527.0599476723550.94005232843
92134794154768.594397662-19974.5943976619
93139985136534.455011913450.54498808956
94198778139684.34216441259093.6578355877
95172436193628.966637695-21192.9666376951
96169585174282.615969641-4697.61596964116
97203702169994.31941323233707.6805867683
98282392200764.93402263181627.065977369
99220658275279.553396104-54621.5533961037
100194472225417.363543207-30945.3635432072
101269246197168.37580628372077.6241937173
102215340262965.629055935-47625.6290559353
103218319219489.784628192-1170.78462819217
104195724218421.014485673-22697.014485673
105174614197701.668824235-23087.6688242349
106172085176625.707878442-4540.70787844242
107152347172480.64747235-20133.6474723502
108189615154101.3138525735513.6861474297
109173804186520.570555468-12716.570555468
110145683174912.038467112-29229.0384671124
111133550148229.826507744-14679.8265077445
112121156134829.103700968-13673.1037009678
113112040122347.384485259-10307.3844852593
114120767112938.117810557828.88218944974
115127019120084.8426068136934.15739318739
116136295126414.8030512129880.19694878819
117113425135434.104506663-22009.104506663
118107815115342.728865161-7527.72886516116
119100298108470.916869742-8172.91686974162
12097048101010.134316456-3962.13431645623
1219875097393.23437080381356.76562919616
1229823598631.7803509643-396.780350964284
12310125498269.57283470772984.42716529232
124139589100993.95661117838595.0433888221
125134921136226.081316212-1305.08131621237
12680355135034.716217337-54679.7162173375
1278039685119.4314695795-4723.43146957947
1288218380807.56880640381375.43119359623
1297970982063.1539562319-2354.15395623188
1309078179914.125519465510866.8744805345

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 139871 & 178421 & -38550 \tabularnewline
3 & 118159 & 143229.99389862 & -25070.9938986196 \tabularnewline
4 & 109763 & 120343.521803834 & -10580.5218038338 \tabularnewline
5 & 97415 & 110684.917203198 & -13269.9172031982 \tabularnewline
6 & 119190 & 98571.2534609787 & 20618.7465390213 \tabularnewline
7 & 97903 & 117393.417799695 & -19490.417799695 \tabularnewline
8 & 96953 & 99601.2670420421 & -2648.26704204209 \tabularnewline
9 & 87888 & 97183.7526027532 & -9295.75260275317 \tabularnewline
10 & 84637 & 88697.9708502134 & -4060.97085021337 \tabularnewline
11 & 90549 & 84990.8463374407 & 5558.1536625593 \tabularnewline
12 & 95680 & 90064.6989820979 & 5615.30101790212 \tabularnewline
13 & 99371 & 95190.7195367563 & 4180.28046324373 \tabularnewline
14 & 79984 & 99006.7578062113 & -19022.7578062113 \tabularnewline
15 & 86752 & 81641.5182206481 & 5110.48177935195 \tabularnewline
16 & 85733 & 86306.7061707951 & -573.706170795078 \tabularnewline
17 & 84906 & 85782.988989035 & -876.988989035046 \tabularnewline
18 & 78356 & 84982.4150626025 & -6626.41506260248 \tabularnewline
19 & 108895 & 78933.3823025941 & 29961.6176974059 \tabularnewline
20 & 101768 & 106284.341347902 & -4516.34134790246 \tabularnewline
21 & 73285 & 102161.524332858 & -28876.5243328583 \tabularnewline
22 & 65724 & 75801.1107405295 & -10077.1107405295 \tabularnewline
23 & 67457 & 66602.0532683049 & 854.946731695134 \tabularnewline
24 & 67203 & 67382.5055549829 & -179.505554982912 \tabularnewline
25 & 69273 & 67218.6409355112 & 2054.35906448882 \tabularnewline
26 & 80807 & 69093.9966390871 & 11713.0033609129 \tabularnewline
27 & 75129 & 79786.4057892654 & -4657.40578926544 \tabularnewline
28 & 74991 & 75534.8157621151 & -543.815762115133 \tabularnewline
29 & 68157 & 75038.3845350692 & -6881.38453506921 \tabularnewline
30 & 73858 & 68756.5986684138 & 5101.40133158618 \tabularnewline
31 & 71349 & 73413.4973813954 & -2064.49738139538 \tabularnewline
32 & 85634 & 71528.8867472846 & 14105.1132527154 \tabularnewline
33 & 91624 & 84404.9730387754 & 7219.02696122463 \tabularnewline
34 & 116014 & 90994.9813873742 & 25019.0186126258 \tabularnewline
35 & 120033 & 113834.006981342 & 6198.99301865787 \tabularnewline
36 & 108651 & 119492.860448061 & -10841.8604480608 \tabularnewline
37 & 105378 & 109595.688536828 & -4217.68853682805 \tabularnewline
38 & 138939 & 105745.501687717 & 33193.4983122832 \tabularnewline
39 & 132974 & 136046.736490148 & -3072.73649014786 \tabularnewline
40 & 135277 & 133241.738083592 & 2035.26191640797 \tabularnewline
41 & 152741 & 135099.660639188 & 17641.3393608121 \tabularnewline
42 & 158417 & 151203.849512933 & 7213.15048706735 \tabularnewline
43 & 157460 & 157788.49342475 & -328.493424750079 \tabularnewline
44 & 193997 & 157488.622760298 & 36508.3772397024 \tabularnewline
45 & 154089 & 190815.899704367 & -36726.8997043667 \tabularnewline
46 & 147570 & 157289.140908487 & -9719.14090848723 \tabularnewline
47 & 162924 & 148416.862127404 & 14507.1378725958 \tabularnewline
48 & 153629 & 161659.943252906 & -8030.94325290577 \tabularnewline
49 & 155907 & 154328.763667618 & 1578.23633238208 \tabularnewline
50 & 197675 & 155769.482847962 & 41905.5171520376 \tabularnewline
51 & 250708 & 194023.628367518 & 56684.3716324823 \tabularnewline
52 & 266652 & 245768.89601918 & 20883.1039808196 \tabularnewline
53 & 209842 & 264832.383427865 & -54990.3834278648 \tabularnewline
54 & 165826 & 214633.500970608 & -48807.5009706084 \tabularnewline
55 & 137152 & 170078.765187215 & -32926.7651872152 \tabularnewline
56 & 150581 & 140021.022136579 & 10559.9778634206 \tabularnewline
57 & 145973 & 149660.872860887 & -3687.87286088747 \tabularnewline
58 & 126532 & 146294.337028239 & -19762.3370282388 \tabularnewline
59 & 115437 & 128253.960298322 & -12816.9602983221 \tabularnewline
60 & 119526 & 116553.785770192 & 2972.21422980768 \tabularnewline
61 & 110856 & 119267.020766192 & -8411.02076619158 \tabularnewline
62 & 97243 & 111588.881126713 & -14345.8811267134 \tabularnewline
63 & 103876 & 98493.0058929949 & 5382.99410700513 \tabularnewline
64 & 116370 & 103406.961235753 & 12963.0387642474 \tabularnewline
65 & 109616 & 115240.48591137 & -5624.48591137026 \tabularnewline
66 & 98365 & 110106.080774557 & -11741.0807745568 \tabularnewline
67 & 90440 & 99388.0406922163 & -8948.04069221625 \tabularnewline
68 & 88899 & 91219.673517244 & -2320.67351724395 \tabularnewline
69 & 92358 & 89101.2082538291 & 3256.79174617093 \tabularnewline
70 & 88394 & 92074.2245498194 & -3680.22454981938 \tabularnewline
71 & 98219 & 88714.6706046276 & 9504.32939537242 \tabularnewline
72 & 113546 & 97390.8551374961 & 16155.1448625039 \tabularnewline
73 & 107168 & 112138.346743853 & -4970.34674385301 \tabularnewline
74 & 77540 & 107601.083382273 & -30061.083382273 \tabularnewline
75 & 74944 & 80159.3254388314 & -5215.32543883141 \tabularnewline
76 & 75641 & 75398.4292173372 & 242.570782662762 \tabularnewline
77 & 75910 & 75619.8639746058 & 290.136025394226 \tabularnewline
78 & 87384 & 75884.7194516454 & 11499.2805483546 \tabularnewline
79 & 84615 & 86382.0281919471 & -1767.02819194713 \tabularnewline
80 & 80420 & 84768.9672351606 & -4348.96723516055 \tabularnewline
81 & 80784 & 80798.9404515746 & -14.9404515745991 \tabularnewline
82 & 79933 & 80785.3018128581 & -852.301812858146 \tabularnewline
83 & 82118 & 80007.2639841549 & 2110.73601584506 \tabularnewline
84 & 91420 & 81934.0843216908 & 9485.91567830922 \tabularnewline
85 & 112426 & 90593.459587905 & 21832.540412095 \tabularnewline
86 & 114528 & 110523.655770802 & 4004.34422919826 \tabularnewline
87 & 131025 & 114179.08773453 & 16845.9122654695 \tabularnewline
88 & 116460 & 129557.157807616 & -13097.1578076163 \tabularnewline
89 & 111258 & 117601.200341506 & -6343.20034150561 \tabularnewline
90 & 155318 & 111810.704831254 & 43507.2951687461 \tabularnewline
91 & 155078 & 151527.059947672 & 3550.94005232843 \tabularnewline
92 & 134794 & 154768.594397662 & -19974.5943976619 \tabularnewline
93 & 139985 & 136534.45501191 & 3450.54498808956 \tabularnewline
94 & 198778 & 139684.342164412 & 59093.6578355877 \tabularnewline
95 & 172436 & 193628.966637695 & -21192.9666376951 \tabularnewline
96 & 169585 & 174282.615969641 & -4697.61596964116 \tabularnewline
97 & 203702 & 169994.319413232 & 33707.6805867683 \tabularnewline
98 & 282392 & 200764.934022631 & 81627.065977369 \tabularnewline
99 & 220658 & 275279.553396104 & -54621.5533961037 \tabularnewline
100 & 194472 & 225417.363543207 & -30945.3635432072 \tabularnewline
101 & 269246 & 197168.375806283 & 72077.6241937173 \tabularnewline
102 & 215340 & 262965.629055935 & -47625.6290559353 \tabularnewline
103 & 218319 & 219489.784628192 & -1170.78462819217 \tabularnewline
104 & 195724 & 218421.014485673 & -22697.014485673 \tabularnewline
105 & 174614 & 197701.668824235 & -23087.6688242349 \tabularnewline
106 & 172085 & 176625.707878442 & -4540.70787844242 \tabularnewline
107 & 152347 & 172480.64747235 & -20133.6474723502 \tabularnewline
108 & 189615 & 154101.31385257 & 35513.6861474297 \tabularnewline
109 & 173804 & 186520.570555468 & -12716.570555468 \tabularnewline
110 & 145683 & 174912.038467112 & -29229.0384671124 \tabularnewline
111 & 133550 & 148229.826507744 & -14679.8265077445 \tabularnewline
112 & 121156 & 134829.103700968 & -13673.1037009678 \tabularnewline
113 & 112040 & 122347.384485259 & -10307.3844852593 \tabularnewline
114 & 120767 & 112938.11781055 & 7828.88218944974 \tabularnewline
115 & 127019 & 120084.842606813 & 6934.15739318739 \tabularnewline
116 & 136295 & 126414.803051212 & 9880.19694878819 \tabularnewline
117 & 113425 & 135434.104506663 & -22009.104506663 \tabularnewline
118 & 107815 & 115342.728865161 & -7527.72886516116 \tabularnewline
119 & 100298 & 108470.916869742 & -8172.91686974162 \tabularnewline
120 & 97048 & 101010.134316456 & -3962.13431645623 \tabularnewline
121 & 98750 & 97393.2343708038 & 1356.76562919616 \tabularnewline
122 & 98235 & 98631.7803509643 & -396.780350964284 \tabularnewline
123 & 101254 & 98269.5728347077 & 2984.42716529232 \tabularnewline
124 & 139589 & 100993.956611178 & 38595.0433888221 \tabularnewline
125 & 134921 & 136226.081316212 & -1305.08131621237 \tabularnewline
126 & 80355 & 135034.716217337 & -54679.7162173375 \tabularnewline
127 & 80396 & 85119.4314695795 & -4723.43146957947 \tabularnewline
128 & 82183 & 80807.5688064038 & 1375.43119359623 \tabularnewline
129 & 79709 & 82063.1539562319 & -2354.15395623188 \tabularnewline
130 & 90781 & 79914.1255194655 & 10866.8744805345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194030&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]139871[/C][C]178421[/C][C]-38550[/C][/ROW]
[ROW][C]3[/C][C]118159[/C][C]143229.99389862[/C][C]-25070.9938986196[/C][/ROW]
[ROW][C]4[/C][C]109763[/C][C]120343.521803834[/C][C]-10580.5218038338[/C][/ROW]
[ROW][C]5[/C][C]97415[/C][C]110684.917203198[/C][C]-13269.9172031982[/C][/ROW]
[ROW][C]6[/C][C]119190[/C][C]98571.2534609787[/C][C]20618.7465390213[/C][/ROW]
[ROW][C]7[/C][C]97903[/C][C]117393.417799695[/C][C]-19490.417799695[/C][/ROW]
[ROW][C]8[/C][C]96953[/C][C]99601.2670420421[/C][C]-2648.26704204209[/C][/ROW]
[ROW][C]9[/C][C]87888[/C][C]97183.7526027532[/C][C]-9295.75260275317[/C][/ROW]
[ROW][C]10[/C][C]84637[/C][C]88697.9708502134[/C][C]-4060.97085021337[/C][/ROW]
[ROW][C]11[/C][C]90549[/C][C]84990.8463374407[/C][C]5558.1536625593[/C][/ROW]
[ROW][C]12[/C][C]95680[/C][C]90064.6989820979[/C][C]5615.30101790212[/C][/ROW]
[ROW][C]13[/C][C]99371[/C][C]95190.7195367563[/C][C]4180.28046324373[/C][/ROW]
[ROW][C]14[/C][C]79984[/C][C]99006.7578062113[/C][C]-19022.7578062113[/C][/ROW]
[ROW][C]15[/C][C]86752[/C][C]81641.5182206481[/C][C]5110.48177935195[/C][/ROW]
[ROW][C]16[/C][C]85733[/C][C]86306.7061707951[/C][C]-573.706170795078[/C][/ROW]
[ROW][C]17[/C][C]84906[/C][C]85782.988989035[/C][C]-876.988989035046[/C][/ROW]
[ROW][C]18[/C][C]78356[/C][C]84982.4150626025[/C][C]-6626.41506260248[/C][/ROW]
[ROW][C]19[/C][C]108895[/C][C]78933.3823025941[/C][C]29961.6176974059[/C][/ROW]
[ROW][C]20[/C][C]101768[/C][C]106284.341347902[/C][C]-4516.34134790246[/C][/ROW]
[ROW][C]21[/C][C]73285[/C][C]102161.524332858[/C][C]-28876.5243328583[/C][/ROW]
[ROW][C]22[/C][C]65724[/C][C]75801.1107405295[/C][C]-10077.1107405295[/C][/ROW]
[ROW][C]23[/C][C]67457[/C][C]66602.0532683049[/C][C]854.946731695134[/C][/ROW]
[ROW][C]24[/C][C]67203[/C][C]67382.5055549829[/C][C]-179.505554982912[/C][/ROW]
[ROW][C]25[/C][C]69273[/C][C]67218.6409355112[/C][C]2054.35906448882[/C][/ROW]
[ROW][C]26[/C][C]80807[/C][C]69093.9966390871[/C][C]11713.0033609129[/C][/ROW]
[ROW][C]27[/C][C]75129[/C][C]79786.4057892654[/C][C]-4657.40578926544[/C][/ROW]
[ROW][C]28[/C][C]74991[/C][C]75534.8157621151[/C][C]-543.815762115133[/C][/ROW]
[ROW][C]29[/C][C]68157[/C][C]75038.3845350692[/C][C]-6881.38453506921[/C][/ROW]
[ROW][C]30[/C][C]73858[/C][C]68756.5986684138[/C][C]5101.40133158618[/C][/ROW]
[ROW][C]31[/C][C]71349[/C][C]73413.4973813954[/C][C]-2064.49738139538[/C][/ROW]
[ROW][C]32[/C][C]85634[/C][C]71528.8867472846[/C][C]14105.1132527154[/C][/ROW]
[ROW][C]33[/C][C]91624[/C][C]84404.9730387754[/C][C]7219.02696122463[/C][/ROW]
[ROW][C]34[/C][C]116014[/C][C]90994.9813873742[/C][C]25019.0186126258[/C][/ROW]
[ROW][C]35[/C][C]120033[/C][C]113834.006981342[/C][C]6198.99301865787[/C][/ROW]
[ROW][C]36[/C][C]108651[/C][C]119492.860448061[/C][C]-10841.8604480608[/C][/ROW]
[ROW][C]37[/C][C]105378[/C][C]109595.688536828[/C][C]-4217.68853682805[/C][/ROW]
[ROW][C]38[/C][C]138939[/C][C]105745.501687717[/C][C]33193.4983122832[/C][/ROW]
[ROW][C]39[/C][C]132974[/C][C]136046.736490148[/C][C]-3072.73649014786[/C][/ROW]
[ROW][C]40[/C][C]135277[/C][C]133241.738083592[/C][C]2035.26191640797[/C][/ROW]
[ROW][C]41[/C][C]152741[/C][C]135099.660639188[/C][C]17641.3393608121[/C][/ROW]
[ROW][C]42[/C][C]158417[/C][C]151203.849512933[/C][C]7213.15048706735[/C][/ROW]
[ROW][C]43[/C][C]157460[/C][C]157788.49342475[/C][C]-328.493424750079[/C][/ROW]
[ROW][C]44[/C][C]193997[/C][C]157488.622760298[/C][C]36508.3772397024[/C][/ROW]
[ROW][C]45[/C][C]154089[/C][C]190815.899704367[/C][C]-36726.8997043667[/C][/ROW]
[ROW][C]46[/C][C]147570[/C][C]157289.140908487[/C][C]-9719.14090848723[/C][/ROW]
[ROW][C]47[/C][C]162924[/C][C]148416.862127404[/C][C]14507.1378725958[/C][/ROW]
[ROW][C]48[/C][C]153629[/C][C]161659.943252906[/C][C]-8030.94325290577[/C][/ROW]
[ROW][C]49[/C][C]155907[/C][C]154328.763667618[/C][C]1578.23633238208[/C][/ROW]
[ROW][C]50[/C][C]197675[/C][C]155769.482847962[/C][C]41905.5171520376[/C][/ROW]
[ROW][C]51[/C][C]250708[/C][C]194023.628367518[/C][C]56684.3716324823[/C][/ROW]
[ROW][C]52[/C][C]266652[/C][C]245768.89601918[/C][C]20883.1039808196[/C][/ROW]
[ROW][C]53[/C][C]209842[/C][C]264832.383427865[/C][C]-54990.3834278648[/C][/ROW]
[ROW][C]54[/C][C]165826[/C][C]214633.500970608[/C][C]-48807.5009706084[/C][/ROW]
[ROW][C]55[/C][C]137152[/C][C]170078.765187215[/C][C]-32926.7651872152[/C][/ROW]
[ROW][C]56[/C][C]150581[/C][C]140021.022136579[/C][C]10559.9778634206[/C][/ROW]
[ROW][C]57[/C][C]145973[/C][C]149660.872860887[/C][C]-3687.87286088747[/C][/ROW]
[ROW][C]58[/C][C]126532[/C][C]146294.337028239[/C][C]-19762.3370282388[/C][/ROW]
[ROW][C]59[/C][C]115437[/C][C]128253.960298322[/C][C]-12816.9602983221[/C][/ROW]
[ROW][C]60[/C][C]119526[/C][C]116553.785770192[/C][C]2972.21422980768[/C][/ROW]
[ROW][C]61[/C][C]110856[/C][C]119267.020766192[/C][C]-8411.02076619158[/C][/ROW]
[ROW][C]62[/C][C]97243[/C][C]111588.881126713[/C][C]-14345.8811267134[/C][/ROW]
[ROW][C]63[/C][C]103876[/C][C]98493.0058929949[/C][C]5382.99410700513[/C][/ROW]
[ROW][C]64[/C][C]116370[/C][C]103406.961235753[/C][C]12963.0387642474[/C][/ROW]
[ROW][C]65[/C][C]109616[/C][C]115240.48591137[/C][C]-5624.48591137026[/C][/ROW]
[ROW][C]66[/C][C]98365[/C][C]110106.080774557[/C][C]-11741.0807745568[/C][/ROW]
[ROW][C]67[/C][C]90440[/C][C]99388.0406922163[/C][C]-8948.04069221625[/C][/ROW]
[ROW][C]68[/C][C]88899[/C][C]91219.673517244[/C][C]-2320.67351724395[/C][/ROW]
[ROW][C]69[/C][C]92358[/C][C]89101.2082538291[/C][C]3256.79174617093[/C][/ROW]
[ROW][C]70[/C][C]88394[/C][C]92074.2245498194[/C][C]-3680.22454981938[/C][/ROW]
[ROW][C]71[/C][C]98219[/C][C]88714.6706046276[/C][C]9504.32939537242[/C][/ROW]
[ROW][C]72[/C][C]113546[/C][C]97390.8551374961[/C][C]16155.1448625039[/C][/ROW]
[ROW][C]73[/C][C]107168[/C][C]112138.346743853[/C][C]-4970.34674385301[/C][/ROW]
[ROW][C]74[/C][C]77540[/C][C]107601.083382273[/C][C]-30061.083382273[/C][/ROW]
[ROW][C]75[/C][C]74944[/C][C]80159.3254388314[/C][C]-5215.32543883141[/C][/ROW]
[ROW][C]76[/C][C]75641[/C][C]75398.4292173372[/C][C]242.570782662762[/C][/ROW]
[ROW][C]77[/C][C]75910[/C][C]75619.8639746058[/C][C]290.136025394226[/C][/ROW]
[ROW][C]78[/C][C]87384[/C][C]75884.7194516454[/C][C]11499.2805483546[/C][/ROW]
[ROW][C]79[/C][C]84615[/C][C]86382.0281919471[/C][C]-1767.02819194713[/C][/ROW]
[ROW][C]80[/C][C]80420[/C][C]84768.9672351606[/C][C]-4348.96723516055[/C][/ROW]
[ROW][C]81[/C][C]80784[/C][C]80798.9404515746[/C][C]-14.9404515745991[/C][/ROW]
[ROW][C]82[/C][C]79933[/C][C]80785.3018128581[/C][C]-852.301812858146[/C][/ROW]
[ROW][C]83[/C][C]82118[/C][C]80007.2639841549[/C][C]2110.73601584506[/C][/ROW]
[ROW][C]84[/C][C]91420[/C][C]81934.0843216908[/C][C]9485.91567830922[/C][/ROW]
[ROW][C]85[/C][C]112426[/C][C]90593.459587905[/C][C]21832.540412095[/C][/ROW]
[ROW][C]86[/C][C]114528[/C][C]110523.655770802[/C][C]4004.34422919826[/C][/ROW]
[ROW][C]87[/C][C]131025[/C][C]114179.08773453[/C][C]16845.9122654695[/C][/ROW]
[ROW][C]88[/C][C]116460[/C][C]129557.157807616[/C][C]-13097.1578076163[/C][/ROW]
[ROW][C]89[/C][C]111258[/C][C]117601.200341506[/C][C]-6343.20034150561[/C][/ROW]
[ROW][C]90[/C][C]155318[/C][C]111810.704831254[/C][C]43507.2951687461[/C][/ROW]
[ROW][C]91[/C][C]155078[/C][C]151527.059947672[/C][C]3550.94005232843[/C][/ROW]
[ROW][C]92[/C][C]134794[/C][C]154768.594397662[/C][C]-19974.5943976619[/C][/ROW]
[ROW][C]93[/C][C]139985[/C][C]136534.45501191[/C][C]3450.54498808956[/C][/ROW]
[ROW][C]94[/C][C]198778[/C][C]139684.342164412[/C][C]59093.6578355877[/C][/ROW]
[ROW][C]95[/C][C]172436[/C][C]193628.966637695[/C][C]-21192.9666376951[/C][/ROW]
[ROW][C]96[/C][C]169585[/C][C]174282.615969641[/C][C]-4697.61596964116[/C][/ROW]
[ROW][C]97[/C][C]203702[/C][C]169994.319413232[/C][C]33707.6805867683[/C][/ROW]
[ROW][C]98[/C][C]282392[/C][C]200764.934022631[/C][C]81627.065977369[/C][/ROW]
[ROW][C]99[/C][C]220658[/C][C]275279.553396104[/C][C]-54621.5533961037[/C][/ROW]
[ROW][C]100[/C][C]194472[/C][C]225417.363543207[/C][C]-30945.3635432072[/C][/ROW]
[ROW][C]101[/C][C]269246[/C][C]197168.375806283[/C][C]72077.6241937173[/C][/ROW]
[ROW][C]102[/C][C]215340[/C][C]262965.629055935[/C][C]-47625.6290559353[/C][/ROW]
[ROW][C]103[/C][C]218319[/C][C]219489.784628192[/C][C]-1170.78462819217[/C][/ROW]
[ROW][C]104[/C][C]195724[/C][C]218421.014485673[/C][C]-22697.014485673[/C][/ROW]
[ROW][C]105[/C][C]174614[/C][C]197701.668824235[/C][C]-23087.6688242349[/C][/ROW]
[ROW][C]106[/C][C]172085[/C][C]176625.707878442[/C][C]-4540.70787844242[/C][/ROW]
[ROW][C]107[/C][C]152347[/C][C]172480.64747235[/C][C]-20133.6474723502[/C][/ROW]
[ROW][C]108[/C][C]189615[/C][C]154101.31385257[/C][C]35513.6861474297[/C][/ROW]
[ROW][C]109[/C][C]173804[/C][C]186520.570555468[/C][C]-12716.570555468[/C][/ROW]
[ROW][C]110[/C][C]145683[/C][C]174912.038467112[/C][C]-29229.0384671124[/C][/ROW]
[ROW][C]111[/C][C]133550[/C][C]148229.826507744[/C][C]-14679.8265077445[/C][/ROW]
[ROW][C]112[/C][C]121156[/C][C]134829.103700968[/C][C]-13673.1037009678[/C][/ROW]
[ROW][C]113[/C][C]112040[/C][C]122347.384485259[/C][C]-10307.3844852593[/C][/ROW]
[ROW][C]114[/C][C]120767[/C][C]112938.11781055[/C][C]7828.88218944974[/C][/ROW]
[ROW][C]115[/C][C]127019[/C][C]120084.842606813[/C][C]6934.15739318739[/C][/ROW]
[ROW][C]116[/C][C]136295[/C][C]126414.803051212[/C][C]9880.19694878819[/C][/ROW]
[ROW][C]117[/C][C]113425[/C][C]135434.104506663[/C][C]-22009.104506663[/C][/ROW]
[ROW][C]118[/C][C]107815[/C][C]115342.728865161[/C][C]-7527.72886516116[/C][/ROW]
[ROW][C]119[/C][C]100298[/C][C]108470.916869742[/C][C]-8172.91686974162[/C][/ROW]
[ROW][C]120[/C][C]97048[/C][C]101010.134316456[/C][C]-3962.13431645623[/C][/ROW]
[ROW][C]121[/C][C]98750[/C][C]97393.2343708038[/C][C]1356.76562919616[/C][/ROW]
[ROW][C]122[/C][C]98235[/C][C]98631.7803509643[/C][C]-396.780350964284[/C][/ROW]
[ROW][C]123[/C][C]101254[/C][C]98269.5728347077[/C][C]2984.42716529232[/C][/ROW]
[ROW][C]124[/C][C]139589[/C][C]100993.956611178[/C][C]38595.0433888221[/C][/ROW]
[ROW][C]125[/C][C]134921[/C][C]136226.081316212[/C][C]-1305.08131621237[/C][/ROW]
[ROW][C]126[/C][C]80355[/C][C]135034.716217337[/C][C]-54679.7162173375[/C][/ROW]
[ROW][C]127[/C][C]80396[/C][C]85119.4314695795[/C][C]-4723.43146957947[/C][/ROW]
[ROW][C]128[/C][C]82183[/C][C]80807.5688064038[/C][C]1375.43119359623[/C][/ROW]
[ROW][C]129[/C][C]79709[/C][C]82063.1539562319[/C][C]-2354.15395623188[/C][/ROW]
[ROW][C]130[/C][C]90781[/C][C]79914.1255194655[/C][C]10866.8744805345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194030&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194030&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
2139871178421-38550
3118159143229.99389862-25070.9938986196
4109763120343.521803834-10580.5218038338
597415110684.917203198-13269.9172031982
611919098571.253460978720618.7465390213
797903117393.417799695-19490.417799695
89695399601.2670420421-2648.26704204209
98788897183.7526027532-9295.75260275317
108463788697.9708502134-4060.97085021337
119054984990.84633744075558.1536625593
129568090064.69898209795615.30101790212
139937195190.71953675634180.28046324373
147998499006.7578062113-19022.7578062113
158675281641.51822064815110.48177935195
168573386306.7061707951-573.706170795078
178490685782.988989035-876.988989035046
187835684982.4150626025-6626.41506260248
1910889578933.382302594129961.6176974059
20101768106284.341347902-4516.34134790246
2173285102161.524332858-28876.5243328583
226572475801.1107405295-10077.1107405295
236745766602.0532683049854.946731695134
246720367382.5055549829-179.505554982912
256927367218.64093551122054.35906448882
268080769093.996639087111713.0033609129
277512979786.4057892654-4657.40578926544
287499175534.8157621151-543.815762115133
296815775038.3845350692-6881.38453506921
307385868756.59866841385101.40133158618
317134973413.4973813954-2064.49738139538
328563471528.886747284614105.1132527154
339162484404.97303877547219.02696122463
3411601490994.981387374225019.0186126258
35120033113834.0069813426198.99301865787
36108651119492.860448061-10841.8604480608
37105378109595.688536828-4217.68853682805
38138939105745.50168771733193.4983122832
39132974136046.736490148-3072.73649014786
40135277133241.7380835922035.26191640797
41152741135099.66063918817641.3393608121
42158417151203.8495129337213.15048706735
43157460157788.49342475-328.493424750079
44193997157488.62276029836508.3772397024
45154089190815.899704367-36726.8997043667
46147570157289.140908487-9719.14090848723
47162924148416.86212740414507.1378725958
48153629161659.943252906-8030.94325290577
49155907154328.7636676181578.23633238208
50197675155769.48284796241905.5171520376
51250708194023.62836751856684.3716324823
52266652245768.8960191820883.1039808196
53209842264832.383427865-54990.3834278648
54165826214633.500970608-48807.5009706084
55137152170078.765187215-32926.7651872152
56150581140021.02213657910559.9778634206
57145973149660.872860887-3687.87286088747
58126532146294.337028239-19762.3370282388
59115437128253.960298322-12816.9602983221
60119526116553.7857701922972.21422980768
61110856119267.020766192-8411.02076619158
6297243111588.881126713-14345.8811267134
6310387698493.00589299495382.99410700513
64116370103406.96123575312963.0387642474
65109616115240.48591137-5624.48591137026
6698365110106.080774557-11741.0807745568
679044099388.0406922163-8948.04069221625
688889991219.673517244-2320.67351724395
699235889101.20825382913256.79174617093
708839492074.2245498194-3680.22454981938
719821988714.67060462769504.32939537242
7211354697390.855137496116155.1448625039
73107168112138.346743853-4970.34674385301
7477540107601.083382273-30061.083382273
757494480159.3254388314-5215.32543883141
767564175398.4292173372242.570782662762
777591075619.8639746058290.136025394226
788738475884.719451645411499.2805483546
798461586382.0281919471-1767.02819194713
808042084768.9672351606-4348.96723516055
818078480798.9404515746-14.9404515745991
827993380785.3018128581-852.301812858146
838211880007.26398415492110.73601584506
849142081934.08432169089485.91567830922
8511242690593.45958790521832.540412095
86114528110523.6557708024004.34422919826
87131025114179.0877345316845.9122654695
88116460129557.157807616-13097.1578076163
89111258117601.200341506-6343.20034150561
90155318111810.70483125443507.2951687461
91155078151527.0599476723550.94005232843
92134794154768.594397662-19974.5943976619
93139985136534.455011913450.54498808956
94198778139684.34216441259093.6578355877
95172436193628.966637695-21192.9666376951
96169585174282.615969641-4697.61596964116
97203702169994.31941323233707.6805867683
98282392200764.93402263181627.065977369
99220658275279.553396104-54621.5533961037
100194472225417.363543207-30945.3635432072
101269246197168.37580628372077.6241937173
102215340262965.629055935-47625.6290559353
103218319219489.784628192-1170.78462819217
104195724218421.014485673-22697.014485673
105174614197701.668824235-23087.6688242349
106172085176625.707878442-4540.70787844242
107152347172480.64747235-20133.6474723502
108189615154101.3138525735513.6861474297
109173804186520.570555468-12716.570555468
110145683174912.038467112-29229.0384671124
111133550148229.826507744-14679.8265077445
112121156134829.103700968-13673.1037009678
113112040122347.384485259-10307.3844852593
114120767112938.117810557828.88218944974
115127019120084.8426068136934.15739318739
116136295126414.8030512129880.19694878819
117113425135434.104506663-22009.104506663
118107815115342.728865161-7527.72886516116
119100298108470.916869742-8172.91686974162
12097048101010.134316456-3962.13431645623
1219875097393.23437080381356.76562919616
1229823598631.7803509643-396.780350964284
12310125498269.57283470772984.42716529232
124139589100993.95661117838595.0433888221
125134921136226.081316212-1305.08131621237
12680355135034.716217337-54679.7162173375
1278039685119.4314695795-4723.43146957947
1288218380807.56880640381375.43119359623
1297970982063.1539562319-2354.15395623188
1309078179914.125519465510866.8744805345







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13189834.131904612746513.2003336315133155.063475594
13289834.131904612731177.4407185927148490.823090633
13389834.131904612719091.5582335438160576.705575682
13489834.13190461278788.36681894587170879.896990279

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
131 & 89834.1319046127 & 46513.2003336315 & 133155.063475594 \tabularnewline
132 & 89834.1319046127 & 31177.4407185927 & 148490.823090633 \tabularnewline
133 & 89834.1319046127 & 19091.5582335438 & 160576.705575682 \tabularnewline
134 & 89834.1319046127 & 8788.36681894587 & 170879.896990279 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194030&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]131[/C][C]89834.1319046127[/C][C]46513.2003336315[/C][C]133155.063475594[/C][/ROW]
[ROW][C]132[/C][C]89834.1319046127[/C][C]31177.4407185927[/C][C]148490.823090633[/C][/ROW]
[ROW][C]133[/C][C]89834.1319046127[/C][C]19091.5582335438[/C][C]160576.705575682[/C][/ROW]
[ROW][C]134[/C][C]89834.1319046127[/C][C]8788.36681894587[/C][C]170879.896990279[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194030&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194030&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
13189834.131904612746513.2003336315133155.063475594
13289834.131904612731177.4407185927148490.823090633
13389834.131904612719091.5582335438160576.705575682
13489834.13190461278788.36681894587170879.896990279



Parameters (Session):
par1 = 4 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 4 ; 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')