Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 18 Aug 2011 09:34:12 -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/18/t1313674624drp03aoo0tqc5ty.htm/, Retrieved Wed, 15 May 2024 21:36:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=124065, Retrieved Wed, 15 May 2024 21:36:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsVan Haute Stijn
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Tijdreeks 1 - Stap 3] [2011-08-18 10:51:53] [18cea68e60534000eb88d48deba8b2ad]
- RMP   [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2011-08-18 12:29:46] [18cea68e60534000eb88d48deba8b2ad]
- RM        [Exponential Smoothing] [Tijdreeks 1 - Sta...] [2011-08-18 13:34:12] [5f5c8efbe9c9fa44487a38aca3b7b49a] [Current]
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Dataseries X:
84728
84412
84092
83430
89981
89635
84728
81466
81781
81781
82133
82764
83746
83746
83115
81466
89981
91279
89319
84728
86692
83746
85075
85710
86372
84728
85075
82764
89981
92261
90301
86692
90617
86372
90301
89981
90964
87355
91279
90964
96852
95523
90301
87670
91279
86372
89981
90617
91946
89004
90617
91599
95208
92261
88337
84092
88021
77221
82448
85390
88337
84092
84092
84092
86372
83115
78839
75261
77857
67724
73933
77541
78204
74595
74910
73933
77221
74910
70355
67062
72630
60537
68390
71968
71968
67724
63799
63484
67062
63799
57595
53319
57911
47115
56928
62150
63799
60191
55631
58893
60191
59208
49391
44835
48093
38280
48413
52022
54964
50057
45466
48093
49391
46795
36982
32706
36631
25835
37613
44835




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

\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
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=124065&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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=124065&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124065&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







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.658976127668363
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.658976127668363 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=124065&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]0.658976127668363[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=124065&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124065&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
alpha0.658976127668363
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
38409284096-4
48343083777.3640954893-347.36409548932
58998183232.45944895286748.54055104725
68963587363.58656869482271.41343130522
78472888544.3937959902-3816.3937959902
88146685713.481390651-4247.48139065101
98178182598.4925514964-817.492551496369
108178181743.784475513637.2155244864407
118213381452.3086177288680.691382271223
128276481584.86798895511179.1320110449
138374682045.88783560331700.11216439672
148374682850.2211662993895.778833700693
158311583124.5180333787-9.51803337867022
168146682802.2458765998-1336.24587659977
178998181605.69174322528375.30825677476
189127986808.81994630354470.18005369646
198931989438.5618880688-119.561888068783
208472889043.7734580525-4315.7734580525
218669285883.7817767712808.218223228832
228374686100.3782918255-2354.3782918255
238507584232.8992020119842.100797988125
248571084471.82352497651238.17647502347
258637284971.75226385761400.24773614244
268472885578.4820947971-850.482094797102
278507584702.0346973164372.965302683573
288276484631.8099282335-1867.8099282335
298998183084.96777450576896.03222549433
309226187313.28838673824947.71161326184
319030190257.712226465243.2877735347574
328669289970.2378358446-3278.23783584456
339061787493.95736120383123.04263879621
348637289235.9679058609-2863.9679058609
359030187032.68142549023268.31857450979
368998188870.42534370731110.57465629274
379096489286.26753019771677.73246980233
388735590075.8531764115-2720.85317641149
399127987966.87588626573312.12411373432
409096489833.48660909131130.51339090867
419685290262.46794570956589.53205429045
429552394288.81226199241234.18773800757
439030194786.1125184004-4485.11251840043
448767091514.530438868-3844.53043886802
459127988665.07665755962613.92334244038
468637290071.5897397829-3699.58973978292
478998187317.64841909922663.35158090084
489061788756.73353050061860.26646949939
499194689666.60472500262279.39527499738
508900490852.671796746-1848.67179674596
519061789318.44121479661298.55878520341
529159989858.16045461971740.83954538034
539520890689.33215712644518.66784287365
549226193351.0263944428-1090.02639444279
558833792316.7250219766-3979.72502197657
568409289378.1812378096-5286.18123780956
578802185578.71399556472442.28600443533
587722186872.1221694261-9651.1221694261
598244880196.26305456342251.7369454366
608539081364.1039473954025.89605260501
618833783701.0733385364635.92666146401
628409286440.0383380621-2348.03833806206
638409284576.7371264291-484.73712642907
648409283941.3069319177150.693068082255
658637283724.61006638912647.38993361095
668311585153.1768332682-2038.1768332682
677883983494.0669561777-4655.06695617775
687526180110.4889593588-4849.48895935879
697785776598.791503751258.20849624995
706772477111.9208664083-9387.92086640827
717393370609.50512700553323.49487299447
727754172483.60890873715057.39109126292
737820475500.3089061622703.691093838
747459576965.9767935908-2370.9767935908
757491075087.5596873588-177.559687358778
767393374654.5520921531-721.552092153084
777722173863.0664885553357.93351144496
787491075759.8645108949-849.864510894869
797035574883.8240864626-4528.8240864626
806706271583.4371270743-4521.43712707427
817263068287.91799757894342.0820024211
826053770833.2463815528-10296.2463815528
836839063732.26581151784657.73418848224
847196866485.60145075235482.39854924766
857196869782.37121707022185.62878292979
866772470906.6484089658-3182.6484089658
876379968493.3590846956-4694.35908469564
886348465083.8885131781-1599.88851317811
896706263713.60017606293348.3998239371
906379965604.1157259264-1805.1157259264
915759564098.5875548622-6503.58755486216
925331959496.8786120069-6177.87861200693
935791155109.80408706142801.19591293859
944711556639.7253226101-9524.72532261012
955692850047.15871241176880.84128758829
966215054265.46885920727884.53114079277
976379959145.18665884754653.81334115253
986019161895.9385532915-1704.93855329153
995563160456.424747531-4825.42474753097
1005889356960.58503304791932.41496695208
1016019157918.00036501842272.99963498161
1025920859099.8528626702108.147137329826
1034939158855.1192444462-9464.1192444462
1044483552302.4905929494-7467.49059294941
1054809347065.59255860771027.40744139232
1063828047426.6295358741-9146.62953587405
1074841341083.21902310677329.78097689331
1085202245597.36970791716424.63029208293
1095496449515.04769949475448.95230050525
1105005752789.7771863313-2732.77718633132
1114546650672.9422583023-5206.94225830226
1124809346925.69161193351167.30838806652
1134939147378.91997329642012.08002670365
1144679548388.8326778524-1593.83267785238
1153698247022.5349916499-10040.5349916499
1163270640090.0621231338-7384.06212313376
1173663134908.14145876841722.85854123156
1182583535727.4641087896-9892.46410878958
1193761328892.56641728128720.43358271884
1204483534323.123971210410511.8760287896

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 84092 & 84096 & -4 \tabularnewline
4 & 83430 & 83777.3640954893 & -347.36409548932 \tabularnewline
5 & 89981 & 83232.4594489528 & 6748.54055104725 \tabularnewline
6 & 89635 & 87363.5865686948 & 2271.41343130522 \tabularnewline
7 & 84728 & 88544.3937959902 & -3816.3937959902 \tabularnewline
8 & 81466 & 85713.481390651 & -4247.48139065101 \tabularnewline
9 & 81781 & 82598.4925514964 & -817.492551496369 \tabularnewline
10 & 81781 & 81743.7844755136 & 37.2155244864407 \tabularnewline
11 & 82133 & 81452.3086177288 & 680.691382271223 \tabularnewline
12 & 82764 & 81584.8679889551 & 1179.1320110449 \tabularnewline
13 & 83746 & 82045.8878356033 & 1700.11216439672 \tabularnewline
14 & 83746 & 82850.2211662993 & 895.778833700693 \tabularnewline
15 & 83115 & 83124.5180333787 & -9.51803337867022 \tabularnewline
16 & 81466 & 82802.2458765998 & -1336.24587659977 \tabularnewline
17 & 89981 & 81605.6917432252 & 8375.30825677476 \tabularnewline
18 & 91279 & 86808.8199463035 & 4470.18005369646 \tabularnewline
19 & 89319 & 89438.5618880688 & -119.561888068783 \tabularnewline
20 & 84728 & 89043.7734580525 & -4315.7734580525 \tabularnewline
21 & 86692 & 85883.7817767712 & 808.218223228832 \tabularnewline
22 & 83746 & 86100.3782918255 & -2354.3782918255 \tabularnewline
23 & 85075 & 84232.8992020119 & 842.100797988125 \tabularnewline
24 & 85710 & 84471.8235249765 & 1238.17647502347 \tabularnewline
25 & 86372 & 84971.7522638576 & 1400.24773614244 \tabularnewline
26 & 84728 & 85578.4820947971 & -850.482094797102 \tabularnewline
27 & 85075 & 84702.0346973164 & 372.965302683573 \tabularnewline
28 & 82764 & 84631.8099282335 & -1867.8099282335 \tabularnewline
29 & 89981 & 83084.9677745057 & 6896.03222549433 \tabularnewline
30 & 92261 & 87313.2883867382 & 4947.71161326184 \tabularnewline
31 & 90301 & 90257.7122264652 & 43.2877735347574 \tabularnewline
32 & 86692 & 89970.2378358446 & -3278.23783584456 \tabularnewline
33 & 90617 & 87493.9573612038 & 3123.04263879621 \tabularnewline
34 & 86372 & 89235.9679058609 & -2863.9679058609 \tabularnewline
35 & 90301 & 87032.6814254902 & 3268.31857450979 \tabularnewline
36 & 89981 & 88870.4253437073 & 1110.57465629274 \tabularnewline
37 & 90964 & 89286.2675301977 & 1677.73246980233 \tabularnewline
38 & 87355 & 90075.8531764115 & -2720.85317641149 \tabularnewline
39 & 91279 & 87966.8758862657 & 3312.12411373432 \tabularnewline
40 & 90964 & 89833.4866090913 & 1130.51339090867 \tabularnewline
41 & 96852 & 90262.4679457095 & 6589.53205429045 \tabularnewline
42 & 95523 & 94288.8122619924 & 1234.18773800757 \tabularnewline
43 & 90301 & 94786.1125184004 & -4485.11251840043 \tabularnewline
44 & 87670 & 91514.530438868 & -3844.53043886802 \tabularnewline
45 & 91279 & 88665.0766575596 & 2613.92334244038 \tabularnewline
46 & 86372 & 90071.5897397829 & -3699.58973978292 \tabularnewline
47 & 89981 & 87317.6484190992 & 2663.35158090084 \tabularnewline
48 & 90617 & 88756.7335305006 & 1860.26646949939 \tabularnewline
49 & 91946 & 89666.6047250026 & 2279.39527499738 \tabularnewline
50 & 89004 & 90852.671796746 & -1848.67179674596 \tabularnewline
51 & 90617 & 89318.4412147966 & 1298.55878520341 \tabularnewline
52 & 91599 & 89858.1604546197 & 1740.83954538034 \tabularnewline
53 & 95208 & 90689.3321571264 & 4518.66784287365 \tabularnewline
54 & 92261 & 93351.0263944428 & -1090.02639444279 \tabularnewline
55 & 88337 & 92316.7250219766 & -3979.72502197657 \tabularnewline
56 & 84092 & 89378.1812378096 & -5286.18123780956 \tabularnewline
57 & 88021 & 85578.7139955647 & 2442.28600443533 \tabularnewline
58 & 77221 & 86872.1221694261 & -9651.1221694261 \tabularnewline
59 & 82448 & 80196.2630545634 & 2251.7369454366 \tabularnewline
60 & 85390 & 81364.103947395 & 4025.89605260501 \tabularnewline
61 & 88337 & 83701.073338536 & 4635.92666146401 \tabularnewline
62 & 84092 & 86440.0383380621 & -2348.03833806206 \tabularnewline
63 & 84092 & 84576.7371264291 & -484.73712642907 \tabularnewline
64 & 84092 & 83941.3069319177 & 150.693068082255 \tabularnewline
65 & 86372 & 83724.6100663891 & 2647.38993361095 \tabularnewline
66 & 83115 & 85153.1768332682 & -2038.1768332682 \tabularnewline
67 & 78839 & 83494.0669561777 & -4655.06695617775 \tabularnewline
68 & 75261 & 80110.4889593588 & -4849.48895935879 \tabularnewline
69 & 77857 & 76598.79150375 & 1258.20849624995 \tabularnewline
70 & 67724 & 77111.9208664083 & -9387.92086640827 \tabularnewline
71 & 73933 & 70609.5051270055 & 3323.49487299447 \tabularnewline
72 & 77541 & 72483.6089087371 & 5057.39109126292 \tabularnewline
73 & 78204 & 75500.308906162 & 2703.691093838 \tabularnewline
74 & 74595 & 76965.9767935908 & -2370.9767935908 \tabularnewline
75 & 74910 & 75087.5596873588 & -177.559687358778 \tabularnewline
76 & 73933 & 74654.5520921531 & -721.552092153084 \tabularnewline
77 & 77221 & 73863.066488555 & 3357.93351144496 \tabularnewline
78 & 74910 & 75759.8645108949 & -849.864510894869 \tabularnewline
79 & 70355 & 74883.8240864626 & -4528.8240864626 \tabularnewline
80 & 67062 & 71583.4371270743 & -4521.43712707427 \tabularnewline
81 & 72630 & 68287.9179975789 & 4342.0820024211 \tabularnewline
82 & 60537 & 70833.2463815528 & -10296.2463815528 \tabularnewline
83 & 68390 & 63732.2658115178 & 4657.73418848224 \tabularnewline
84 & 71968 & 66485.6014507523 & 5482.39854924766 \tabularnewline
85 & 71968 & 69782.3712170702 & 2185.62878292979 \tabularnewline
86 & 67724 & 70906.6484089658 & -3182.6484089658 \tabularnewline
87 & 63799 & 68493.3590846956 & -4694.35908469564 \tabularnewline
88 & 63484 & 65083.8885131781 & -1599.88851317811 \tabularnewline
89 & 67062 & 63713.6001760629 & 3348.3998239371 \tabularnewline
90 & 63799 & 65604.1157259264 & -1805.1157259264 \tabularnewline
91 & 57595 & 64098.5875548622 & -6503.58755486216 \tabularnewline
92 & 53319 & 59496.8786120069 & -6177.87861200693 \tabularnewline
93 & 57911 & 55109.8040870614 & 2801.19591293859 \tabularnewline
94 & 47115 & 56639.7253226101 & -9524.72532261012 \tabularnewline
95 & 56928 & 50047.1587124117 & 6880.84128758829 \tabularnewline
96 & 62150 & 54265.4688592072 & 7884.53114079277 \tabularnewline
97 & 63799 & 59145.1866588475 & 4653.81334115253 \tabularnewline
98 & 60191 & 61895.9385532915 & -1704.93855329153 \tabularnewline
99 & 55631 & 60456.424747531 & -4825.42474753097 \tabularnewline
100 & 58893 & 56960.5850330479 & 1932.41496695208 \tabularnewline
101 & 60191 & 57918.0003650184 & 2272.99963498161 \tabularnewline
102 & 59208 & 59099.8528626702 & 108.147137329826 \tabularnewline
103 & 49391 & 58855.1192444462 & -9464.1192444462 \tabularnewline
104 & 44835 & 52302.4905929494 & -7467.49059294941 \tabularnewline
105 & 48093 & 47065.5925586077 & 1027.40744139232 \tabularnewline
106 & 38280 & 47426.6295358741 & -9146.62953587405 \tabularnewline
107 & 48413 & 41083.2190231067 & 7329.78097689331 \tabularnewline
108 & 52022 & 45597.3697079171 & 6424.63029208293 \tabularnewline
109 & 54964 & 49515.0476994947 & 5448.95230050525 \tabularnewline
110 & 50057 & 52789.7771863313 & -2732.77718633132 \tabularnewline
111 & 45466 & 50672.9422583023 & -5206.94225830226 \tabularnewline
112 & 48093 & 46925.6916119335 & 1167.30838806652 \tabularnewline
113 & 49391 & 47378.9199732964 & 2012.08002670365 \tabularnewline
114 & 46795 & 48388.8326778524 & -1593.83267785238 \tabularnewline
115 & 36982 & 47022.5349916499 & -10040.5349916499 \tabularnewline
116 & 32706 & 40090.0621231338 & -7384.06212313376 \tabularnewline
117 & 36631 & 34908.1414587684 & 1722.85854123156 \tabularnewline
118 & 25835 & 35727.4641087896 & -9892.46410878958 \tabularnewline
119 & 37613 & 28892.5664172812 & 8720.43358271884 \tabularnewline
120 & 44835 & 34323.1239712104 & 10511.8760287896 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=124065&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]84092[/C][C]84096[/C][C]-4[/C][/ROW]
[ROW][C]4[/C][C]83430[/C][C]83777.3640954893[/C][C]-347.36409548932[/C][/ROW]
[ROW][C]5[/C][C]89981[/C][C]83232.4594489528[/C][C]6748.54055104725[/C][/ROW]
[ROW][C]6[/C][C]89635[/C][C]87363.5865686948[/C][C]2271.41343130522[/C][/ROW]
[ROW][C]7[/C][C]84728[/C][C]88544.3937959902[/C][C]-3816.3937959902[/C][/ROW]
[ROW][C]8[/C][C]81466[/C][C]85713.481390651[/C][C]-4247.48139065101[/C][/ROW]
[ROW][C]9[/C][C]81781[/C][C]82598.4925514964[/C][C]-817.492551496369[/C][/ROW]
[ROW][C]10[/C][C]81781[/C][C]81743.7844755136[/C][C]37.2155244864407[/C][/ROW]
[ROW][C]11[/C][C]82133[/C][C]81452.3086177288[/C][C]680.691382271223[/C][/ROW]
[ROW][C]12[/C][C]82764[/C][C]81584.8679889551[/C][C]1179.1320110449[/C][/ROW]
[ROW][C]13[/C][C]83746[/C][C]82045.8878356033[/C][C]1700.11216439672[/C][/ROW]
[ROW][C]14[/C][C]83746[/C][C]82850.2211662993[/C][C]895.778833700693[/C][/ROW]
[ROW][C]15[/C][C]83115[/C][C]83124.5180333787[/C][C]-9.51803337867022[/C][/ROW]
[ROW][C]16[/C][C]81466[/C][C]82802.2458765998[/C][C]-1336.24587659977[/C][/ROW]
[ROW][C]17[/C][C]89981[/C][C]81605.6917432252[/C][C]8375.30825677476[/C][/ROW]
[ROW][C]18[/C][C]91279[/C][C]86808.8199463035[/C][C]4470.18005369646[/C][/ROW]
[ROW][C]19[/C][C]89319[/C][C]89438.5618880688[/C][C]-119.561888068783[/C][/ROW]
[ROW][C]20[/C][C]84728[/C][C]89043.7734580525[/C][C]-4315.7734580525[/C][/ROW]
[ROW][C]21[/C][C]86692[/C][C]85883.7817767712[/C][C]808.218223228832[/C][/ROW]
[ROW][C]22[/C][C]83746[/C][C]86100.3782918255[/C][C]-2354.3782918255[/C][/ROW]
[ROW][C]23[/C][C]85075[/C][C]84232.8992020119[/C][C]842.100797988125[/C][/ROW]
[ROW][C]24[/C][C]85710[/C][C]84471.8235249765[/C][C]1238.17647502347[/C][/ROW]
[ROW][C]25[/C][C]86372[/C][C]84971.7522638576[/C][C]1400.24773614244[/C][/ROW]
[ROW][C]26[/C][C]84728[/C][C]85578.4820947971[/C][C]-850.482094797102[/C][/ROW]
[ROW][C]27[/C][C]85075[/C][C]84702.0346973164[/C][C]372.965302683573[/C][/ROW]
[ROW][C]28[/C][C]82764[/C][C]84631.8099282335[/C][C]-1867.8099282335[/C][/ROW]
[ROW][C]29[/C][C]89981[/C][C]83084.9677745057[/C][C]6896.03222549433[/C][/ROW]
[ROW][C]30[/C][C]92261[/C][C]87313.2883867382[/C][C]4947.71161326184[/C][/ROW]
[ROW][C]31[/C][C]90301[/C][C]90257.7122264652[/C][C]43.2877735347574[/C][/ROW]
[ROW][C]32[/C][C]86692[/C][C]89970.2378358446[/C][C]-3278.23783584456[/C][/ROW]
[ROW][C]33[/C][C]90617[/C][C]87493.9573612038[/C][C]3123.04263879621[/C][/ROW]
[ROW][C]34[/C][C]86372[/C][C]89235.9679058609[/C][C]-2863.9679058609[/C][/ROW]
[ROW][C]35[/C][C]90301[/C][C]87032.6814254902[/C][C]3268.31857450979[/C][/ROW]
[ROW][C]36[/C][C]89981[/C][C]88870.4253437073[/C][C]1110.57465629274[/C][/ROW]
[ROW][C]37[/C][C]90964[/C][C]89286.2675301977[/C][C]1677.73246980233[/C][/ROW]
[ROW][C]38[/C][C]87355[/C][C]90075.8531764115[/C][C]-2720.85317641149[/C][/ROW]
[ROW][C]39[/C][C]91279[/C][C]87966.8758862657[/C][C]3312.12411373432[/C][/ROW]
[ROW][C]40[/C][C]90964[/C][C]89833.4866090913[/C][C]1130.51339090867[/C][/ROW]
[ROW][C]41[/C][C]96852[/C][C]90262.4679457095[/C][C]6589.53205429045[/C][/ROW]
[ROW][C]42[/C][C]95523[/C][C]94288.8122619924[/C][C]1234.18773800757[/C][/ROW]
[ROW][C]43[/C][C]90301[/C][C]94786.1125184004[/C][C]-4485.11251840043[/C][/ROW]
[ROW][C]44[/C][C]87670[/C][C]91514.530438868[/C][C]-3844.53043886802[/C][/ROW]
[ROW][C]45[/C][C]91279[/C][C]88665.0766575596[/C][C]2613.92334244038[/C][/ROW]
[ROW][C]46[/C][C]86372[/C][C]90071.5897397829[/C][C]-3699.58973978292[/C][/ROW]
[ROW][C]47[/C][C]89981[/C][C]87317.6484190992[/C][C]2663.35158090084[/C][/ROW]
[ROW][C]48[/C][C]90617[/C][C]88756.7335305006[/C][C]1860.26646949939[/C][/ROW]
[ROW][C]49[/C][C]91946[/C][C]89666.6047250026[/C][C]2279.39527499738[/C][/ROW]
[ROW][C]50[/C][C]89004[/C][C]90852.671796746[/C][C]-1848.67179674596[/C][/ROW]
[ROW][C]51[/C][C]90617[/C][C]89318.4412147966[/C][C]1298.55878520341[/C][/ROW]
[ROW][C]52[/C][C]91599[/C][C]89858.1604546197[/C][C]1740.83954538034[/C][/ROW]
[ROW][C]53[/C][C]95208[/C][C]90689.3321571264[/C][C]4518.66784287365[/C][/ROW]
[ROW][C]54[/C][C]92261[/C][C]93351.0263944428[/C][C]-1090.02639444279[/C][/ROW]
[ROW][C]55[/C][C]88337[/C][C]92316.7250219766[/C][C]-3979.72502197657[/C][/ROW]
[ROW][C]56[/C][C]84092[/C][C]89378.1812378096[/C][C]-5286.18123780956[/C][/ROW]
[ROW][C]57[/C][C]88021[/C][C]85578.7139955647[/C][C]2442.28600443533[/C][/ROW]
[ROW][C]58[/C][C]77221[/C][C]86872.1221694261[/C][C]-9651.1221694261[/C][/ROW]
[ROW][C]59[/C][C]82448[/C][C]80196.2630545634[/C][C]2251.7369454366[/C][/ROW]
[ROW][C]60[/C][C]85390[/C][C]81364.103947395[/C][C]4025.89605260501[/C][/ROW]
[ROW][C]61[/C][C]88337[/C][C]83701.073338536[/C][C]4635.92666146401[/C][/ROW]
[ROW][C]62[/C][C]84092[/C][C]86440.0383380621[/C][C]-2348.03833806206[/C][/ROW]
[ROW][C]63[/C][C]84092[/C][C]84576.7371264291[/C][C]-484.73712642907[/C][/ROW]
[ROW][C]64[/C][C]84092[/C][C]83941.3069319177[/C][C]150.693068082255[/C][/ROW]
[ROW][C]65[/C][C]86372[/C][C]83724.6100663891[/C][C]2647.38993361095[/C][/ROW]
[ROW][C]66[/C][C]83115[/C][C]85153.1768332682[/C][C]-2038.1768332682[/C][/ROW]
[ROW][C]67[/C][C]78839[/C][C]83494.0669561777[/C][C]-4655.06695617775[/C][/ROW]
[ROW][C]68[/C][C]75261[/C][C]80110.4889593588[/C][C]-4849.48895935879[/C][/ROW]
[ROW][C]69[/C][C]77857[/C][C]76598.79150375[/C][C]1258.20849624995[/C][/ROW]
[ROW][C]70[/C][C]67724[/C][C]77111.9208664083[/C][C]-9387.92086640827[/C][/ROW]
[ROW][C]71[/C][C]73933[/C][C]70609.5051270055[/C][C]3323.49487299447[/C][/ROW]
[ROW][C]72[/C][C]77541[/C][C]72483.6089087371[/C][C]5057.39109126292[/C][/ROW]
[ROW][C]73[/C][C]78204[/C][C]75500.308906162[/C][C]2703.691093838[/C][/ROW]
[ROW][C]74[/C][C]74595[/C][C]76965.9767935908[/C][C]-2370.9767935908[/C][/ROW]
[ROW][C]75[/C][C]74910[/C][C]75087.5596873588[/C][C]-177.559687358778[/C][/ROW]
[ROW][C]76[/C][C]73933[/C][C]74654.5520921531[/C][C]-721.552092153084[/C][/ROW]
[ROW][C]77[/C][C]77221[/C][C]73863.066488555[/C][C]3357.93351144496[/C][/ROW]
[ROW][C]78[/C][C]74910[/C][C]75759.8645108949[/C][C]-849.864510894869[/C][/ROW]
[ROW][C]79[/C][C]70355[/C][C]74883.8240864626[/C][C]-4528.8240864626[/C][/ROW]
[ROW][C]80[/C][C]67062[/C][C]71583.4371270743[/C][C]-4521.43712707427[/C][/ROW]
[ROW][C]81[/C][C]72630[/C][C]68287.9179975789[/C][C]4342.0820024211[/C][/ROW]
[ROW][C]82[/C][C]60537[/C][C]70833.2463815528[/C][C]-10296.2463815528[/C][/ROW]
[ROW][C]83[/C][C]68390[/C][C]63732.2658115178[/C][C]4657.73418848224[/C][/ROW]
[ROW][C]84[/C][C]71968[/C][C]66485.6014507523[/C][C]5482.39854924766[/C][/ROW]
[ROW][C]85[/C][C]71968[/C][C]69782.3712170702[/C][C]2185.62878292979[/C][/ROW]
[ROW][C]86[/C][C]67724[/C][C]70906.6484089658[/C][C]-3182.6484089658[/C][/ROW]
[ROW][C]87[/C][C]63799[/C][C]68493.3590846956[/C][C]-4694.35908469564[/C][/ROW]
[ROW][C]88[/C][C]63484[/C][C]65083.8885131781[/C][C]-1599.88851317811[/C][/ROW]
[ROW][C]89[/C][C]67062[/C][C]63713.6001760629[/C][C]3348.3998239371[/C][/ROW]
[ROW][C]90[/C][C]63799[/C][C]65604.1157259264[/C][C]-1805.1157259264[/C][/ROW]
[ROW][C]91[/C][C]57595[/C][C]64098.5875548622[/C][C]-6503.58755486216[/C][/ROW]
[ROW][C]92[/C][C]53319[/C][C]59496.8786120069[/C][C]-6177.87861200693[/C][/ROW]
[ROW][C]93[/C][C]57911[/C][C]55109.8040870614[/C][C]2801.19591293859[/C][/ROW]
[ROW][C]94[/C][C]47115[/C][C]56639.7253226101[/C][C]-9524.72532261012[/C][/ROW]
[ROW][C]95[/C][C]56928[/C][C]50047.1587124117[/C][C]6880.84128758829[/C][/ROW]
[ROW][C]96[/C][C]62150[/C][C]54265.4688592072[/C][C]7884.53114079277[/C][/ROW]
[ROW][C]97[/C][C]63799[/C][C]59145.1866588475[/C][C]4653.81334115253[/C][/ROW]
[ROW][C]98[/C][C]60191[/C][C]61895.9385532915[/C][C]-1704.93855329153[/C][/ROW]
[ROW][C]99[/C][C]55631[/C][C]60456.424747531[/C][C]-4825.42474753097[/C][/ROW]
[ROW][C]100[/C][C]58893[/C][C]56960.5850330479[/C][C]1932.41496695208[/C][/ROW]
[ROW][C]101[/C][C]60191[/C][C]57918.0003650184[/C][C]2272.99963498161[/C][/ROW]
[ROW][C]102[/C][C]59208[/C][C]59099.8528626702[/C][C]108.147137329826[/C][/ROW]
[ROW][C]103[/C][C]49391[/C][C]58855.1192444462[/C][C]-9464.1192444462[/C][/ROW]
[ROW][C]104[/C][C]44835[/C][C]52302.4905929494[/C][C]-7467.49059294941[/C][/ROW]
[ROW][C]105[/C][C]48093[/C][C]47065.5925586077[/C][C]1027.40744139232[/C][/ROW]
[ROW][C]106[/C][C]38280[/C][C]47426.6295358741[/C][C]-9146.62953587405[/C][/ROW]
[ROW][C]107[/C][C]48413[/C][C]41083.2190231067[/C][C]7329.78097689331[/C][/ROW]
[ROW][C]108[/C][C]52022[/C][C]45597.3697079171[/C][C]6424.63029208293[/C][/ROW]
[ROW][C]109[/C][C]54964[/C][C]49515.0476994947[/C][C]5448.95230050525[/C][/ROW]
[ROW][C]110[/C][C]50057[/C][C]52789.7771863313[/C][C]-2732.77718633132[/C][/ROW]
[ROW][C]111[/C][C]45466[/C][C]50672.9422583023[/C][C]-5206.94225830226[/C][/ROW]
[ROW][C]112[/C][C]48093[/C][C]46925.6916119335[/C][C]1167.30838806652[/C][/ROW]
[ROW][C]113[/C][C]49391[/C][C]47378.9199732964[/C][C]2012.08002670365[/C][/ROW]
[ROW][C]114[/C][C]46795[/C][C]48388.8326778524[/C][C]-1593.83267785238[/C][/ROW]
[ROW][C]115[/C][C]36982[/C][C]47022.5349916499[/C][C]-10040.5349916499[/C][/ROW]
[ROW][C]116[/C][C]32706[/C][C]40090.0621231338[/C][C]-7384.06212313376[/C][/ROW]
[ROW][C]117[/C][C]36631[/C][C]34908.1414587684[/C][C]1722.85854123156[/C][/ROW]
[ROW][C]118[/C][C]25835[/C][C]35727.4641087896[/C][C]-9892.46410878958[/C][/ROW]
[ROW][C]119[/C][C]37613[/C][C]28892.5664172812[/C][C]8720.43358271884[/C][/ROW]
[ROW][C]120[/C][C]44835[/C][C]34323.1239712104[/C][C]10511.8760287896[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=124065&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124065&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
38409284096-4
48343083777.3640954893-347.36409548932
58998183232.45944895286748.54055104725
68963587363.58656869482271.41343130522
78472888544.3937959902-3816.3937959902
88146685713.481390651-4247.48139065101
98178182598.4925514964-817.492551496369
108178181743.784475513637.2155244864407
118213381452.3086177288680.691382271223
128276481584.86798895511179.1320110449
138374682045.88783560331700.11216439672
148374682850.2211662993895.778833700693
158311583124.5180333787-9.51803337867022
168146682802.2458765998-1336.24587659977
178998181605.69174322528375.30825677476
189127986808.81994630354470.18005369646
198931989438.5618880688-119.561888068783
208472889043.7734580525-4315.7734580525
218669285883.7817767712808.218223228832
228374686100.3782918255-2354.3782918255
238507584232.8992020119842.100797988125
248571084471.82352497651238.17647502347
258637284971.75226385761400.24773614244
268472885578.4820947971-850.482094797102
278507584702.0346973164372.965302683573
288276484631.8099282335-1867.8099282335
298998183084.96777450576896.03222549433
309226187313.28838673824947.71161326184
319030190257.712226465243.2877735347574
328669289970.2378358446-3278.23783584456
339061787493.95736120383123.04263879621
348637289235.9679058609-2863.9679058609
359030187032.68142549023268.31857450979
368998188870.42534370731110.57465629274
379096489286.26753019771677.73246980233
388735590075.8531764115-2720.85317641149
399127987966.87588626573312.12411373432
409096489833.48660909131130.51339090867
419685290262.46794570956589.53205429045
429552394288.81226199241234.18773800757
439030194786.1125184004-4485.11251840043
448767091514.530438868-3844.53043886802
459127988665.07665755962613.92334244038
468637290071.5897397829-3699.58973978292
478998187317.64841909922663.35158090084
489061788756.73353050061860.26646949939
499194689666.60472500262279.39527499738
508900490852.671796746-1848.67179674596
519061789318.44121479661298.55878520341
529159989858.16045461971740.83954538034
539520890689.33215712644518.66784287365
549226193351.0263944428-1090.02639444279
558833792316.7250219766-3979.72502197657
568409289378.1812378096-5286.18123780956
578802185578.71399556472442.28600443533
587722186872.1221694261-9651.1221694261
598244880196.26305456342251.7369454366
608539081364.1039473954025.89605260501
618833783701.0733385364635.92666146401
628409286440.0383380621-2348.03833806206
638409284576.7371264291-484.73712642907
648409283941.3069319177150.693068082255
658637283724.61006638912647.38993361095
668311585153.1768332682-2038.1768332682
677883983494.0669561777-4655.06695617775
687526180110.4889593588-4849.48895935879
697785776598.791503751258.20849624995
706772477111.9208664083-9387.92086640827
717393370609.50512700553323.49487299447
727754172483.60890873715057.39109126292
737820475500.3089061622703.691093838
747459576965.9767935908-2370.9767935908
757491075087.5596873588-177.559687358778
767393374654.5520921531-721.552092153084
777722173863.0664885553357.93351144496
787491075759.8645108949-849.864510894869
797035574883.8240864626-4528.8240864626
806706271583.4371270743-4521.43712707427
817263068287.91799757894342.0820024211
826053770833.2463815528-10296.2463815528
836839063732.26581151784657.73418848224
847196866485.60145075235482.39854924766
857196869782.37121707022185.62878292979
866772470906.6484089658-3182.6484089658
876379968493.3590846956-4694.35908469564
886348465083.8885131781-1599.88851317811
896706263713.60017606293348.3998239371
906379965604.1157259264-1805.1157259264
915759564098.5875548622-6503.58755486216
925331959496.8786120069-6177.87861200693
935791155109.80408706142801.19591293859
944711556639.7253226101-9524.72532261012
955692850047.15871241176880.84128758829
966215054265.46885920727884.53114079277
976379959145.18665884754653.81334115253
986019161895.9385532915-1704.93855329153
995563160456.424747531-4825.42474753097
1005889356960.58503304791932.41496695208
1016019157918.00036501842272.99963498161
1025920859099.8528626702108.147137329826
1034939158855.1192444462-9464.1192444462
1044483552302.4905929494-7467.49059294941
1054809347065.59255860771027.40744139232
1063828047426.6295358741-9146.62953587405
1074841341083.21902310677329.78097689331
1085202245597.36970791716424.63029208293
1095496449515.04769949475448.95230050525
1105005752789.7771863313-2732.77718633132
1114546650672.9422583023-5206.94225830226
1124809346925.69161193351167.30838806652
1134939147378.91997329642012.08002670365
1144679548388.8326778524-1593.83267785238
1153698247022.5349916499-10040.5349916499
1163270640090.0621231338-7384.06212313376
1173663134908.14145876841722.85854123156
1182583535727.4641087896-9892.46410878958
1193761328892.56641728128720.43358271884
1204483534323.123971210410511.8760287896







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12140934.199331192132147.117492964449721.2811694198
12240618.199331192130094.776265955651141.6223964285
12340302.199331192128290.868897464552313.5297649196
12439986.199331192126651.969523421853320.4291389623
12539670.199331192125132.960585657654207.4380767265
12639354.199331192123706.166351839555002.2323105446
12739038.199331192122353.159268275155723.239394109
12838722.199331192121060.936984480256383.4616779039
12938406.199331192119819.919083180556992.4795792036
13038090.199331192118622.805072178857557.5935902053
13137774.199331192117463.880155607958084.5185067762
13237458.199331192116338.57123805758577.8274243271

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 40934.1993311921 & 32147.1174929644 & 49721.2811694198 \tabularnewline
122 & 40618.1993311921 & 30094.7762659556 & 51141.6223964285 \tabularnewline
123 & 40302.1993311921 & 28290.8688974645 & 52313.5297649196 \tabularnewline
124 & 39986.1993311921 & 26651.9695234218 & 53320.4291389623 \tabularnewline
125 & 39670.1993311921 & 25132.9605856576 & 54207.4380767265 \tabularnewline
126 & 39354.1993311921 & 23706.1663518395 & 55002.2323105446 \tabularnewline
127 & 39038.1993311921 & 22353.1592682751 & 55723.239394109 \tabularnewline
128 & 38722.1993311921 & 21060.9369844802 & 56383.4616779039 \tabularnewline
129 & 38406.1993311921 & 19819.9190831805 & 56992.4795792036 \tabularnewline
130 & 38090.1993311921 & 18622.8050721788 & 57557.5935902053 \tabularnewline
131 & 37774.1993311921 & 17463.8801556079 & 58084.5185067762 \tabularnewline
132 & 37458.1993311921 & 16338.571238057 & 58577.8274243271 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=124065&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]40934.1993311921[/C][C]32147.1174929644[/C][C]49721.2811694198[/C][/ROW]
[ROW][C]122[/C][C]40618.1993311921[/C][C]30094.7762659556[/C][C]51141.6223964285[/C][/ROW]
[ROW][C]123[/C][C]40302.1993311921[/C][C]28290.8688974645[/C][C]52313.5297649196[/C][/ROW]
[ROW][C]124[/C][C]39986.1993311921[/C][C]26651.9695234218[/C][C]53320.4291389623[/C][/ROW]
[ROW][C]125[/C][C]39670.1993311921[/C][C]25132.9605856576[/C][C]54207.4380767265[/C][/ROW]
[ROW][C]126[/C][C]39354.1993311921[/C][C]23706.1663518395[/C][C]55002.2323105446[/C][/ROW]
[ROW][C]127[/C][C]39038.1993311921[/C][C]22353.1592682751[/C][C]55723.239394109[/C][/ROW]
[ROW][C]128[/C][C]38722.1993311921[/C][C]21060.9369844802[/C][C]56383.4616779039[/C][/ROW]
[ROW][C]129[/C][C]38406.1993311921[/C][C]19819.9190831805[/C][C]56992.4795792036[/C][/ROW]
[ROW][C]130[/C][C]38090.1993311921[/C][C]18622.8050721788[/C][C]57557.5935902053[/C][/ROW]
[ROW][C]131[/C][C]37774.1993311921[/C][C]17463.8801556079[/C][C]58084.5185067762[/C][/ROW]
[ROW][C]132[/C][C]37458.1993311921[/C][C]16338.571238057[/C][C]58577.8274243271[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=124065&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=124065&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
12140934.199331192132147.117492964449721.2811694198
12240618.199331192130094.776265955651141.6223964285
12340302.199331192128290.868897464552313.5297649196
12439986.199331192126651.969523421853320.4291389623
12539670.199331192125132.960585657654207.4380767265
12639354.199331192123706.166351839555002.2323105446
12739038.199331192122353.159268275155723.239394109
12838722.199331192121060.936984480256383.4616779039
12938406.199331192119819.919083180556992.4795792036
13038090.199331192118622.805072178857557.5935902053
13137774.199331192117463.880155607958084.5185067762
13237458.199331192116338.57123805758577.8274243271



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