Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 09 Aug 2013 09:31:06 -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/2013/Aug/09/t137605508979p82h1ubvquzxh.htm/, Retrieved Fri, 03 May 2024 22:27:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211009, Retrieved Fri, 03 May 2024 22:27:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsNick Hollevoet
Estimated Impact188
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [TIJDREEKS (A) - S...] [2013-08-09 13:31:06] [3f9aa5867cfe47c4a12580af2904c765] [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 time7 seconds
R Server'George Udny Yule' @ yule.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 & 7 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211009&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211009&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211009&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 time7 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.698224135846065
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.698224135846065 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211009&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]0.698224135846065[/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=211009&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211009&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
alpha0.698224135846065
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
28441284728-316
38409284507.3611730726-415.361173072641
48343084217.34597694-787.345976939992
58998183667.60201257926313.39798742082
68963588075.76886659841559.23113340163
78472889164.461677302-4436.46167730201
88146686066.8170564536-4600.81705645363
98178182854.4155430255-1073.41554302546
108178182104.9309030928-323.930903092769
118213381878.754528207254.245471793009
128276482056.2748530424707.725146957557
138374682550.42563219341195.57436780659
148374683385.2045119949360.795488005126
158311583637.1206298244-522.120629824407
168146683272.5634042579-1806.56340425786
178998182011.17723246887969.82276753121
189127987575.89984717463703.10015282544
198931990161.4937513325-842.493751332528
208472889573.2442798527-4845.24427985266
218669286190.1777795894501.822220410555
228374686540.562165784-2794.56216578397
238507584589.3314125114485.668587488646
248571084928.4369423182781.563057681808
258637285474.1431328773897.856867122726
268472886101.0484680375-1373.04846803749
278507585142.3528879673-67.3528879672522
288276485095.3254759696-2331.32547596958
298998183467.53776013486513.4622398652
309226188015.39430393074245.60569606934
319030190979.7786722118-678.778672211803
328669290505.839020376-3813.83902037598
339061787842.9245661182774.07543388204
348637289779.850988712-3407.85098871205
359030187400.40717702642900.59282297359
368998189425.6710942884555.328905711562
379096489813.41513958921150.58486041076
388735590616.7812594671-3261.78125946711
399127988339.32685825682939.6731417432
409096490391.8775973203572.12240267967
419685290791.34726752956060.65273247048
429552395023.0412843218499.958715678193
439030195372.1245265349-5071.12452653493
448767091831.3429862273-4161.34298622729
459127988925.79287570972353.20712429035
468637290568.8588865341-4196.85888653409
478998187638.51071721592342.48928278405
489061789274.09327241651342.90672758348
499194690211.74316180541734.25683819463
508900491422.6431439889-2418.64314398894
519061789733.8881248573883.111875142742
529159990350.49815073421248.5018492658
539520891222.232275543985.76772445998
549226194005.1915006342-1744.19150063423
558833792787.3548973538-4450.35489735384
568409289680.0096949407-5588.00969494066
578802185778.32645459132242.67354540872
587722187344.2152528191-10123.2152528191
598244880275.94203093582172.05796906422
608539081792.52532939323597.4746706068
618833784304.36897250574032.63102749425
628409287120.049286864-3028.04928686396
638409285005.7921902441-913.792190244072
648409284367.760427868-275.760427868023
658637284175.21784141932196.78215858067
668311585709.0641657364-2594.06416573637
677883983897.8259552859-5058.82595528585
687526180365.6315742607-5104.63157426074
697785776801.454604511055.54539549
706772477538.4618761223-9814.4618761223
717393370685.76771387273247.23228612734
727754172953.06367074544587.93632925463
737820476156.4715495562047.52845044405
747459577586.1053324875-2991.10533248748
757491075497.6433964868-587.643396486848
767393375087.3365937892-1154.33659378916
777722174281.35092311522939.64907688476
787491076333.8848595138-1423.88485951378
797035575339.6940839355-4984.69408393548
806706271859.2603647226-4797.26036472264
817263068509.69739213564120.3026078644
826053771386.592119936-10849.592119936
836839063811.14503771144578.85496228859
847196867008.21208691984959.78791308017
857196870471.255716511496.74428349001
866772471516.3187004323-3792.31870043234
876379968868.4302529701-5069.43025297009
886348465328.8316953582-1844.83169535815
896706264040.72567908533021.27432091472
906379966150.2523309599-2351.25233095986
915759564508.5512040194-6913.55120401936
925331959681.3428889654-6362.34288896542
935791155239.00152336122671.99847663882
944711557104.6553506943-9989.65535069432
955692850129.63687605586798.36312394424
966215054876.41809343957273.58190656052
976379959955.00853465333843.99146534673
986019162638.9761537446-2447.97615374464
995563160929.7401192245-5298.74011922452
1005889357230.03187840611662.9681215939
1016019158391.15635804561799.84364195445
1025920859647.8506296072-439.85062960723
1034939159340.7363038484-9949.73630384837
1044483552393.5902711976-7558.59027119762
1054809347116.0001108762976.999889123814
1063828047798.1650141814-9518.16501418137
1074841341152.35247231437260.64752768567
1085202246221.91181801555800.08818198447
1095496450271.67337671264692.32662328739
1105005753547.9690783649-3490.96907836493
1114546651110.4902103582-5644.49021035824
1124809347169.3709109393923.629089060712
1134939147814.2710334911576.72896650901
1144679548915.1812535952-2120.1812535952
1153698247434.8195299667-10452.8195299667
1163270640136.4086465008-7430.40864650082
1173663134948.31799031471682.68200968535
1182583536123.2071824309-10288.2071824309
1193761328939.73261307288673.26738692719
1204483534995.61723927199839.38276072809

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 84412 & 84728 & -316 \tabularnewline
3 & 84092 & 84507.3611730726 & -415.361173072641 \tabularnewline
4 & 83430 & 84217.34597694 & -787.345976939992 \tabularnewline
5 & 89981 & 83667.6020125792 & 6313.39798742082 \tabularnewline
6 & 89635 & 88075.7688665984 & 1559.23113340163 \tabularnewline
7 & 84728 & 89164.461677302 & -4436.46167730201 \tabularnewline
8 & 81466 & 86066.8170564536 & -4600.81705645363 \tabularnewline
9 & 81781 & 82854.4155430255 & -1073.41554302546 \tabularnewline
10 & 81781 & 82104.9309030928 & -323.930903092769 \tabularnewline
11 & 82133 & 81878.754528207 & 254.245471793009 \tabularnewline
12 & 82764 & 82056.2748530424 & 707.725146957557 \tabularnewline
13 & 83746 & 82550.4256321934 & 1195.57436780659 \tabularnewline
14 & 83746 & 83385.2045119949 & 360.795488005126 \tabularnewline
15 & 83115 & 83637.1206298244 & -522.120629824407 \tabularnewline
16 & 81466 & 83272.5634042579 & -1806.56340425786 \tabularnewline
17 & 89981 & 82011.1772324688 & 7969.82276753121 \tabularnewline
18 & 91279 & 87575.8998471746 & 3703.10015282544 \tabularnewline
19 & 89319 & 90161.4937513325 & -842.493751332528 \tabularnewline
20 & 84728 & 89573.2442798527 & -4845.24427985266 \tabularnewline
21 & 86692 & 86190.1777795894 & 501.822220410555 \tabularnewline
22 & 83746 & 86540.562165784 & -2794.56216578397 \tabularnewline
23 & 85075 & 84589.3314125114 & 485.668587488646 \tabularnewline
24 & 85710 & 84928.4369423182 & 781.563057681808 \tabularnewline
25 & 86372 & 85474.1431328773 & 897.856867122726 \tabularnewline
26 & 84728 & 86101.0484680375 & -1373.04846803749 \tabularnewline
27 & 85075 & 85142.3528879673 & -67.3528879672522 \tabularnewline
28 & 82764 & 85095.3254759696 & -2331.32547596958 \tabularnewline
29 & 89981 & 83467.5377601348 & 6513.4622398652 \tabularnewline
30 & 92261 & 88015.3943039307 & 4245.60569606934 \tabularnewline
31 & 90301 & 90979.7786722118 & -678.778672211803 \tabularnewline
32 & 86692 & 90505.839020376 & -3813.83902037598 \tabularnewline
33 & 90617 & 87842.924566118 & 2774.07543388204 \tabularnewline
34 & 86372 & 89779.850988712 & -3407.85098871205 \tabularnewline
35 & 90301 & 87400.4071770264 & 2900.59282297359 \tabularnewline
36 & 89981 & 89425.6710942884 & 555.328905711562 \tabularnewline
37 & 90964 & 89813.4151395892 & 1150.58486041076 \tabularnewline
38 & 87355 & 90616.7812594671 & -3261.78125946711 \tabularnewline
39 & 91279 & 88339.3268582568 & 2939.6731417432 \tabularnewline
40 & 90964 & 90391.8775973203 & 572.12240267967 \tabularnewline
41 & 96852 & 90791.3472675295 & 6060.65273247048 \tabularnewline
42 & 95523 & 95023.0412843218 & 499.958715678193 \tabularnewline
43 & 90301 & 95372.1245265349 & -5071.12452653493 \tabularnewline
44 & 87670 & 91831.3429862273 & -4161.34298622729 \tabularnewline
45 & 91279 & 88925.7928757097 & 2353.20712429035 \tabularnewline
46 & 86372 & 90568.8588865341 & -4196.85888653409 \tabularnewline
47 & 89981 & 87638.5107172159 & 2342.48928278405 \tabularnewline
48 & 90617 & 89274.0932724165 & 1342.90672758348 \tabularnewline
49 & 91946 & 90211.7431618054 & 1734.25683819463 \tabularnewline
50 & 89004 & 91422.6431439889 & -2418.64314398894 \tabularnewline
51 & 90617 & 89733.8881248573 & 883.111875142742 \tabularnewline
52 & 91599 & 90350.4981507342 & 1248.5018492658 \tabularnewline
53 & 95208 & 91222.23227554 & 3985.76772445998 \tabularnewline
54 & 92261 & 94005.1915006342 & -1744.19150063423 \tabularnewline
55 & 88337 & 92787.3548973538 & -4450.35489735384 \tabularnewline
56 & 84092 & 89680.0096949407 & -5588.00969494066 \tabularnewline
57 & 88021 & 85778.3264545913 & 2242.67354540872 \tabularnewline
58 & 77221 & 87344.2152528191 & -10123.2152528191 \tabularnewline
59 & 82448 & 80275.9420309358 & 2172.05796906422 \tabularnewline
60 & 85390 & 81792.5253293932 & 3597.4746706068 \tabularnewline
61 & 88337 & 84304.3689725057 & 4032.63102749425 \tabularnewline
62 & 84092 & 87120.049286864 & -3028.04928686396 \tabularnewline
63 & 84092 & 85005.7921902441 & -913.792190244072 \tabularnewline
64 & 84092 & 84367.760427868 & -275.760427868023 \tabularnewline
65 & 86372 & 84175.2178414193 & 2196.78215858067 \tabularnewline
66 & 83115 & 85709.0641657364 & -2594.06416573637 \tabularnewline
67 & 78839 & 83897.8259552859 & -5058.82595528585 \tabularnewline
68 & 75261 & 80365.6315742607 & -5104.63157426074 \tabularnewline
69 & 77857 & 76801.45460451 & 1055.54539549 \tabularnewline
70 & 67724 & 77538.4618761223 & -9814.4618761223 \tabularnewline
71 & 73933 & 70685.7677138727 & 3247.23228612734 \tabularnewline
72 & 77541 & 72953.0636707454 & 4587.93632925463 \tabularnewline
73 & 78204 & 76156.471549556 & 2047.52845044405 \tabularnewline
74 & 74595 & 77586.1053324875 & -2991.10533248748 \tabularnewline
75 & 74910 & 75497.6433964868 & -587.643396486848 \tabularnewline
76 & 73933 & 75087.3365937892 & -1154.33659378916 \tabularnewline
77 & 77221 & 74281.3509231152 & 2939.64907688476 \tabularnewline
78 & 74910 & 76333.8848595138 & -1423.88485951378 \tabularnewline
79 & 70355 & 75339.6940839355 & -4984.69408393548 \tabularnewline
80 & 67062 & 71859.2603647226 & -4797.26036472264 \tabularnewline
81 & 72630 & 68509.6973921356 & 4120.3026078644 \tabularnewline
82 & 60537 & 71386.592119936 & -10849.592119936 \tabularnewline
83 & 68390 & 63811.1450377114 & 4578.85496228859 \tabularnewline
84 & 71968 & 67008.2120869198 & 4959.78791308017 \tabularnewline
85 & 71968 & 70471.25571651 & 1496.74428349001 \tabularnewline
86 & 67724 & 71516.3187004323 & -3792.31870043234 \tabularnewline
87 & 63799 & 68868.4302529701 & -5069.43025297009 \tabularnewline
88 & 63484 & 65328.8316953582 & -1844.83169535815 \tabularnewline
89 & 67062 & 64040.7256790853 & 3021.27432091472 \tabularnewline
90 & 63799 & 66150.2523309599 & -2351.25233095986 \tabularnewline
91 & 57595 & 64508.5512040194 & -6913.55120401936 \tabularnewline
92 & 53319 & 59681.3428889654 & -6362.34288896542 \tabularnewline
93 & 57911 & 55239.0015233612 & 2671.99847663882 \tabularnewline
94 & 47115 & 57104.6553506943 & -9989.65535069432 \tabularnewline
95 & 56928 & 50129.6368760558 & 6798.36312394424 \tabularnewline
96 & 62150 & 54876.4180934395 & 7273.58190656052 \tabularnewline
97 & 63799 & 59955.0085346533 & 3843.99146534673 \tabularnewline
98 & 60191 & 62638.9761537446 & -2447.97615374464 \tabularnewline
99 & 55631 & 60929.7401192245 & -5298.74011922452 \tabularnewline
100 & 58893 & 57230.0318784061 & 1662.9681215939 \tabularnewline
101 & 60191 & 58391.1563580456 & 1799.84364195445 \tabularnewline
102 & 59208 & 59647.8506296072 & -439.85062960723 \tabularnewline
103 & 49391 & 59340.7363038484 & -9949.73630384837 \tabularnewline
104 & 44835 & 52393.5902711976 & -7558.59027119762 \tabularnewline
105 & 48093 & 47116.0001108762 & 976.999889123814 \tabularnewline
106 & 38280 & 47798.1650141814 & -9518.16501418137 \tabularnewline
107 & 48413 & 41152.3524723143 & 7260.64752768567 \tabularnewline
108 & 52022 & 46221.9118180155 & 5800.08818198447 \tabularnewline
109 & 54964 & 50271.6733767126 & 4692.32662328739 \tabularnewline
110 & 50057 & 53547.9690783649 & -3490.96907836493 \tabularnewline
111 & 45466 & 51110.4902103582 & -5644.49021035824 \tabularnewline
112 & 48093 & 47169.3709109393 & 923.629089060712 \tabularnewline
113 & 49391 & 47814.271033491 & 1576.72896650901 \tabularnewline
114 & 46795 & 48915.1812535952 & -2120.1812535952 \tabularnewline
115 & 36982 & 47434.8195299667 & -10452.8195299667 \tabularnewline
116 & 32706 & 40136.4086465008 & -7430.40864650082 \tabularnewline
117 & 36631 & 34948.3179903147 & 1682.68200968535 \tabularnewline
118 & 25835 & 36123.2071824309 & -10288.2071824309 \tabularnewline
119 & 37613 & 28939.7326130728 & 8673.26738692719 \tabularnewline
120 & 44835 & 34995.6172392719 & 9839.38276072809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211009&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]84412[/C][C]84728[/C][C]-316[/C][/ROW]
[ROW][C]3[/C][C]84092[/C][C]84507.3611730726[/C][C]-415.361173072641[/C][/ROW]
[ROW][C]4[/C][C]83430[/C][C]84217.34597694[/C][C]-787.345976939992[/C][/ROW]
[ROW][C]5[/C][C]89981[/C][C]83667.6020125792[/C][C]6313.39798742082[/C][/ROW]
[ROW][C]6[/C][C]89635[/C][C]88075.7688665984[/C][C]1559.23113340163[/C][/ROW]
[ROW][C]7[/C][C]84728[/C][C]89164.461677302[/C][C]-4436.46167730201[/C][/ROW]
[ROW][C]8[/C][C]81466[/C][C]86066.8170564536[/C][C]-4600.81705645363[/C][/ROW]
[ROW][C]9[/C][C]81781[/C][C]82854.4155430255[/C][C]-1073.41554302546[/C][/ROW]
[ROW][C]10[/C][C]81781[/C][C]82104.9309030928[/C][C]-323.930903092769[/C][/ROW]
[ROW][C]11[/C][C]82133[/C][C]81878.754528207[/C][C]254.245471793009[/C][/ROW]
[ROW][C]12[/C][C]82764[/C][C]82056.2748530424[/C][C]707.725146957557[/C][/ROW]
[ROW][C]13[/C][C]83746[/C][C]82550.4256321934[/C][C]1195.57436780659[/C][/ROW]
[ROW][C]14[/C][C]83746[/C][C]83385.2045119949[/C][C]360.795488005126[/C][/ROW]
[ROW][C]15[/C][C]83115[/C][C]83637.1206298244[/C][C]-522.120629824407[/C][/ROW]
[ROW][C]16[/C][C]81466[/C][C]83272.5634042579[/C][C]-1806.56340425786[/C][/ROW]
[ROW][C]17[/C][C]89981[/C][C]82011.1772324688[/C][C]7969.82276753121[/C][/ROW]
[ROW][C]18[/C][C]91279[/C][C]87575.8998471746[/C][C]3703.10015282544[/C][/ROW]
[ROW][C]19[/C][C]89319[/C][C]90161.4937513325[/C][C]-842.493751332528[/C][/ROW]
[ROW][C]20[/C][C]84728[/C][C]89573.2442798527[/C][C]-4845.24427985266[/C][/ROW]
[ROW][C]21[/C][C]86692[/C][C]86190.1777795894[/C][C]501.822220410555[/C][/ROW]
[ROW][C]22[/C][C]83746[/C][C]86540.562165784[/C][C]-2794.56216578397[/C][/ROW]
[ROW][C]23[/C][C]85075[/C][C]84589.3314125114[/C][C]485.668587488646[/C][/ROW]
[ROW][C]24[/C][C]85710[/C][C]84928.4369423182[/C][C]781.563057681808[/C][/ROW]
[ROW][C]25[/C][C]86372[/C][C]85474.1431328773[/C][C]897.856867122726[/C][/ROW]
[ROW][C]26[/C][C]84728[/C][C]86101.0484680375[/C][C]-1373.04846803749[/C][/ROW]
[ROW][C]27[/C][C]85075[/C][C]85142.3528879673[/C][C]-67.3528879672522[/C][/ROW]
[ROW][C]28[/C][C]82764[/C][C]85095.3254759696[/C][C]-2331.32547596958[/C][/ROW]
[ROW][C]29[/C][C]89981[/C][C]83467.5377601348[/C][C]6513.4622398652[/C][/ROW]
[ROW][C]30[/C][C]92261[/C][C]88015.3943039307[/C][C]4245.60569606934[/C][/ROW]
[ROW][C]31[/C][C]90301[/C][C]90979.7786722118[/C][C]-678.778672211803[/C][/ROW]
[ROW][C]32[/C][C]86692[/C][C]90505.839020376[/C][C]-3813.83902037598[/C][/ROW]
[ROW][C]33[/C][C]90617[/C][C]87842.924566118[/C][C]2774.07543388204[/C][/ROW]
[ROW][C]34[/C][C]86372[/C][C]89779.850988712[/C][C]-3407.85098871205[/C][/ROW]
[ROW][C]35[/C][C]90301[/C][C]87400.4071770264[/C][C]2900.59282297359[/C][/ROW]
[ROW][C]36[/C][C]89981[/C][C]89425.6710942884[/C][C]555.328905711562[/C][/ROW]
[ROW][C]37[/C][C]90964[/C][C]89813.4151395892[/C][C]1150.58486041076[/C][/ROW]
[ROW][C]38[/C][C]87355[/C][C]90616.7812594671[/C][C]-3261.78125946711[/C][/ROW]
[ROW][C]39[/C][C]91279[/C][C]88339.3268582568[/C][C]2939.6731417432[/C][/ROW]
[ROW][C]40[/C][C]90964[/C][C]90391.8775973203[/C][C]572.12240267967[/C][/ROW]
[ROW][C]41[/C][C]96852[/C][C]90791.3472675295[/C][C]6060.65273247048[/C][/ROW]
[ROW][C]42[/C][C]95523[/C][C]95023.0412843218[/C][C]499.958715678193[/C][/ROW]
[ROW][C]43[/C][C]90301[/C][C]95372.1245265349[/C][C]-5071.12452653493[/C][/ROW]
[ROW][C]44[/C][C]87670[/C][C]91831.3429862273[/C][C]-4161.34298622729[/C][/ROW]
[ROW][C]45[/C][C]91279[/C][C]88925.7928757097[/C][C]2353.20712429035[/C][/ROW]
[ROW][C]46[/C][C]86372[/C][C]90568.8588865341[/C][C]-4196.85888653409[/C][/ROW]
[ROW][C]47[/C][C]89981[/C][C]87638.5107172159[/C][C]2342.48928278405[/C][/ROW]
[ROW][C]48[/C][C]90617[/C][C]89274.0932724165[/C][C]1342.90672758348[/C][/ROW]
[ROW][C]49[/C][C]91946[/C][C]90211.7431618054[/C][C]1734.25683819463[/C][/ROW]
[ROW][C]50[/C][C]89004[/C][C]91422.6431439889[/C][C]-2418.64314398894[/C][/ROW]
[ROW][C]51[/C][C]90617[/C][C]89733.8881248573[/C][C]883.111875142742[/C][/ROW]
[ROW][C]52[/C][C]91599[/C][C]90350.4981507342[/C][C]1248.5018492658[/C][/ROW]
[ROW][C]53[/C][C]95208[/C][C]91222.23227554[/C][C]3985.76772445998[/C][/ROW]
[ROW][C]54[/C][C]92261[/C][C]94005.1915006342[/C][C]-1744.19150063423[/C][/ROW]
[ROW][C]55[/C][C]88337[/C][C]92787.3548973538[/C][C]-4450.35489735384[/C][/ROW]
[ROW][C]56[/C][C]84092[/C][C]89680.0096949407[/C][C]-5588.00969494066[/C][/ROW]
[ROW][C]57[/C][C]88021[/C][C]85778.3264545913[/C][C]2242.67354540872[/C][/ROW]
[ROW][C]58[/C][C]77221[/C][C]87344.2152528191[/C][C]-10123.2152528191[/C][/ROW]
[ROW][C]59[/C][C]82448[/C][C]80275.9420309358[/C][C]2172.05796906422[/C][/ROW]
[ROW][C]60[/C][C]85390[/C][C]81792.5253293932[/C][C]3597.4746706068[/C][/ROW]
[ROW][C]61[/C][C]88337[/C][C]84304.3689725057[/C][C]4032.63102749425[/C][/ROW]
[ROW][C]62[/C][C]84092[/C][C]87120.049286864[/C][C]-3028.04928686396[/C][/ROW]
[ROW][C]63[/C][C]84092[/C][C]85005.7921902441[/C][C]-913.792190244072[/C][/ROW]
[ROW][C]64[/C][C]84092[/C][C]84367.760427868[/C][C]-275.760427868023[/C][/ROW]
[ROW][C]65[/C][C]86372[/C][C]84175.2178414193[/C][C]2196.78215858067[/C][/ROW]
[ROW][C]66[/C][C]83115[/C][C]85709.0641657364[/C][C]-2594.06416573637[/C][/ROW]
[ROW][C]67[/C][C]78839[/C][C]83897.8259552859[/C][C]-5058.82595528585[/C][/ROW]
[ROW][C]68[/C][C]75261[/C][C]80365.6315742607[/C][C]-5104.63157426074[/C][/ROW]
[ROW][C]69[/C][C]77857[/C][C]76801.45460451[/C][C]1055.54539549[/C][/ROW]
[ROW][C]70[/C][C]67724[/C][C]77538.4618761223[/C][C]-9814.4618761223[/C][/ROW]
[ROW][C]71[/C][C]73933[/C][C]70685.7677138727[/C][C]3247.23228612734[/C][/ROW]
[ROW][C]72[/C][C]77541[/C][C]72953.0636707454[/C][C]4587.93632925463[/C][/ROW]
[ROW][C]73[/C][C]78204[/C][C]76156.471549556[/C][C]2047.52845044405[/C][/ROW]
[ROW][C]74[/C][C]74595[/C][C]77586.1053324875[/C][C]-2991.10533248748[/C][/ROW]
[ROW][C]75[/C][C]74910[/C][C]75497.6433964868[/C][C]-587.643396486848[/C][/ROW]
[ROW][C]76[/C][C]73933[/C][C]75087.3365937892[/C][C]-1154.33659378916[/C][/ROW]
[ROW][C]77[/C][C]77221[/C][C]74281.3509231152[/C][C]2939.64907688476[/C][/ROW]
[ROW][C]78[/C][C]74910[/C][C]76333.8848595138[/C][C]-1423.88485951378[/C][/ROW]
[ROW][C]79[/C][C]70355[/C][C]75339.6940839355[/C][C]-4984.69408393548[/C][/ROW]
[ROW][C]80[/C][C]67062[/C][C]71859.2603647226[/C][C]-4797.26036472264[/C][/ROW]
[ROW][C]81[/C][C]72630[/C][C]68509.6973921356[/C][C]4120.3026078644[/C][/ROW]
[ROW][C]82[/C][C]60537[/C][C]71386.592119936[/C][C]-10849.592119936[/C][/ROW]
[ROW][C]83[/C][C]68390[/C][C]63811.1450377114[/C][C]4578.85496228859[/C][/ROW]
[ROW][C]84[/C][C]71968[/C][C]67008.2120869198[/C][C]4959.78791308017[/C][/ROW]
[ROW][C]85[/C][C]71968[/C][C]70471.25571651[/C][C]1496.74428349001[/C][/ROW]
[ROW][C]86[/C][C]67724[/C][C]71516.3187004323[/C][C]-3792.31870043234[/C][/ROW]
[ROW][C]87[/C][C]63799[/C][C]68868.4302529701[/C][C]-5069.43025297009[/C][/ROW]
[ROW][C]88[/C][C]63484[/C][C]65328.8316953582[/C][C]-1844.83169535815[/C][/ROW]
[ROW][C]89[/C][C]67062[/C][C]64040.7256790853[/C][C]3021.27432091472[/C][/ROW]
[ROW][C]90[/C][C]63799[/C][C]66150.2523309599[/C][C]-2351.25233095986[/C][/ROW]
[ROW][C]91[/C][C]57595[/C][C]64508.5512040194[/C][C]-6913.55120401936[/C][/ROW]
[ROW][C]92[/C][C]53319[/C][C]59681.3428889654[/C][C]-6362.34288896542[/C][/ROW]
[ROW][C]93[/C][C]57911[/C][C]55239.0015233612[/C][C]2671.99847663882[/C][/ROW]
[ROW][C]94[/C][C]47115[/C][C]57104.6553506943[/C][C]-9989.65535069432[/C][/ROW]
[ROW][C]95[/C][C]56928[/C][C]50129.6368760558[/C][C]6798.36312394424[/C][/ROW]
[ROW][C]96[/C][C]62150[/C][C]54876.4180934395[/C][C]7273.58190656052[/C][/ROW]
[ROW][C]97[/C][C]63799[/C][C]59955.0085346533[/C][C]3843.99146534673[/C][/ROW]
[ROW][C]98[/C][C]60191[/C][C]62638.9761537446[/C][C]-2447.97615374464[/C][/ROW]
[ROW][C]99[/C][C]55631[/C][C]60929.7401192245[/C][C]-5298.74011922452[/C][/ROW]
[ROW][C]100[/C][C]58893[/C][C]57230.0318784061[/C][C]1662.9681215939[/C][/ROW]
[ROW][C]101[/C][C]60191[/C][C]58391.1563580456[/C][C]1799.84364195445[/C][/ROW]
[ROW][C]102[/C][C]59208[/C][C]59647.8506296072[/C][C]-439.85062960723[/C][/ROW]
[ROW][C]103[/C][C]49391[/C][C]59340.7363038484[/C][C]-9949.73630384837[/C][/ROW]
[ROW][C]104[/C][C]44835[/C][C]52393.5902711976[/C][C]-7558.59027119762[/C][/ROW]
[ROW][C]105[/C][C]48093[/C][C]47116.0001108762[/C][C]976.999889123814[/C][/ROW]
[ROW][C]106[/C][C]38280[/C][C]47798.1650141814[/C][C]-9518.16501418137[/C][/ROW]
[ROW][C]107[/C][C]48413[/C][C]41152.3524723143[/C][C]7260.64752768567[/C][/ROW]
[ROW][C]108[/C][C]52022[/C][C]46221.9118180155[/C][C]5800.08818198447[/C][/ROW]
[ROW][C]109[/C][C]54964[/C][C]50271.6733767126[/C][C]4692.32662328739[/C][/ROW]
[ROW][C]110[/C][C]50057[/C][C]53547.9690783649[/C][C]-3490.96907836493[/C][/ROW]
[ROW][C]111[/C][C]45466[/C][C]51110.4902103582[/C][C]-5644.49021035824[/C][/ROW]
[ROW][C]112[/C][C]48093[/C][C]47169.3709109393[/C][C]923.629089060712[/C][/ROW]
[ROW][C]113[/C][C]49391[/C][C]47814.271033491[/C][C]1576.72896650901[/C][/ROW]
[ROW][C]114[/C][C]46795[/C][C]48915.1812535952[/C][C]-2120.1812535952[/C][/ROW]
[ROW][C]115[/C][C]36982[/C][C]47434.8195299667[/C][C]-10452.8195299667[/C][/ROW]
[ROW][C]116[/C][C]32706[/C][C]40136.4086465008[/C][C]-7430.40864650082[/C][/ROW]
[ROW][C]117[/C][C]36631[/C][C]34948.3179903147[/C][C]1682.68200968535[/C][/ROW]
[ROW][C]118[/C][C]25835[/C][C]36123.2071824309[/C][C]-10288.2071824309[/C][/ROW]
[ROW][C]119[/C][C]37613[/C][C]28939.7326130728[/C][C]8673.26738692719[/C][/ROW]
[ROW][C]120[/C][C]44835[/C][C]34995.6172392719[/C][C]9839.38276072809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211009&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211009&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
28441284728-316
38409284507.3611730726-415.361173072641
48343084217.34597694-787.345976939992
58998183667.60201257926313.39798742082
68963588075.76886659841559.23113340163
78472889164.461677302-4436.46167730201
88146686066.8170564536-4600.81705645363
98178182854.4155430255-1073.41554302546
108178182104.9309030928-323.930903092769
118213381878.754528207254.245471793009
128276482056.2748530424707.725146957557
138374682550.42563219341195.57436780659
148374683385.2045119949360.795488005126
158311583637.1206298244-522.120629824407
168146683272.5634042579-1806.56340425786
178998182011.17723246887969.82276753121
189127987575.89984717463703.10015282544
198931990161.4937513325-842.493751332528
208472889573.2442798527-4845.24427985266
218669286190.1777795894501.822220410555
228374686540.562165784-2794.56216578397
238507584589.3314125114485.668587488646
248571084928.4369423182781.563057681808
258637285474.1431328773897.856867122726
268472886101.0484680375-1373.04846803749
278507585142.3528879673-67.3528879672522
288276485095.3254759696-2331.32547596958
298998183467.53776013486513.4622398652
309226188015.39430393074245.60569606934
319030190979.7786722118-678.778672211803
328669290505.839020376-3813.83902037598
339061787842.9245661182774.07543388204
348637289779.850988712-3407.85098871205
359030187400.40717702642900.59282297359
368998189425.6710942884555.328905711562
379096489813.41513958921150.58486041076
388735590616.7812594671-3261.78125946711
399127988339.32685825682939.6731417432
409096490391.8775973203572.12240267967
419685290791.34726752956060.65273247048
429552395023.0412843218499.958715678193
439030195372.1245265349-5071.12452653493
448767091831.3429862273-4161.34298622729
459127988925.79287570972353.20712429035
468637290568.8588865341-4196.85888653409
478998187638.51071721592342.48928278405
489061789274.09327241651342.90672758348
499194690211.74316180541734.25683819463
508900491422.6431439889-2418.64314398894
519061789733.8881248573883.111875142742
529159990350.49815073421248.5018492658
539520891222.232275543985.76772445998
549226194005.1915006342-1744.19150063423
558833792787.3548973538-4450.35489735384
568409289680.0096949407-5588.00969494066
578802185778.32645459132242.67354540872
587722187344.2152528191-10123.2152528191
598244880275.94203093582172.05796906422
608539081792.52532939323597.4746706068
618833784304.36897250574032.63102749425
628409287120.049286864-3028.04928686396
638409285005.7921902441-913.792190244072
648409284367.760427868-275.760427868023
658637284175.21784141932196.78215858067
668311585709.0641657364-2594.06416573637
677883983897.8259552859-5058.82595528585
687526180365.6315742607-5104.63157426074
697785776801.454604511055.54539549
706772477538.4618761223-9814.4618761223
717393370685.76771387273247.23228612734
727754172953.06367074544587.93632925463
737820476156.4715495562047.52845044405
747459577586.1053324875-2991.10533248748
757491075497.6433964868-587.643396486848
767393375087.3365937892-1154.33659378916
777722174281.35092311522939.64907688476
787491076333.8848595138-1423.88485951378
797035575339.6940839355-4984.69408393548
806706271859.2603647226-4797.26036472264
817263068509.69739213564120.3026078644
826053771386.592119936-10849.592119936
836839063811.14503771144578.85496228859
847196867008.21208691984959.78791308017
857196870471.255716511496.74428349001
866772471516.3187004323-3792.31870043234
876379968868.4302529701-5069.43025297009
886348465328.8316953582-1844.83169535815
896706264040.72567908533021.27432091472
906379966150.2523309599-2351.25233095986
915759564508.5512040194-6913.55120401936
925331959681.3428889654-6362.34288896542
935791155239.00152336122671.99847663882
944711557104.6553506943-9989.65535069432
955692850129.63687605586798.36312394424
966215054876.41809343957273.58190656052
976379959955.00853465333843.99146534673
986019162638.9761537446-2447.97615374464
995563160929.7401192245-5298.74011922452
1005889357230.03187840611662.9681215939
1016019158391.15635804561799.84364195445
1025920859647.8506296072-439.85062960723
1034939159340.7363038484-9949.73630384837
1044483552393.5902711976-7558.59027119762
1054809347116.0001108762976.999889123814
1063828047798.1650141814-9518.16501418137
1074841341152.35247231437260.64752768567
1085202246221.91181801555800.08818198447
1095496450271.67337671264692.32662328739
1105005753547.9690783649-3490.96907836493
1114546651110.4902103582-5644.49021035824
1124809347169.3709109393923.629089060712
1134939147814.2710334911576.72896650901
1144679548915.1812535952-2120.1812535952
1153698247434.8195299667-10452.8195299667
1163270640136.4086465008-7430.40864650082
1173663134948.31799031471682.68200968535
1182583536123.2071824309-10288.2071824309
1193761328939.73261307288673.26738692719
1204483534995.61723927199839.38276072809







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12141865.711764639933111.627078590450619.7964506894
12241865.711764639931188.897093152952542.526436127
12341865.711764639929563.080161278254168.3433680017
12441865.711764639928128.349674093255603.0738551867
12541865.711764639926829.904834330456901.5186949495
12641865.711764639925635.004359098458096.4191701815
12741865.711764639924522.233574753859209.1899545261
12841865.711764639923476.676755651360254.7467736286
12941865.711764639922487.451228653661243.9723006263
13041865.711764639921546.328057467162185.0954718128
13141865.711764639920646.905787910863084.5177413691
13241865.711764639919784.088184911363947.3353443686

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 41865.7117646399 & 33111.6270785904 & 50619.7964506894 \tabularnewline
122 & 41865.7117646399 & 31188.8970931529 & 52542.526436127 \tabularnewline
123 & 41865.7117646399 & 29563.0801612782 & 54168.3433680017 \tabularnewline
124 & 41865.7117646399 & 28128.3496740932 & 55603.0738551867 \tabularnewline
125 & 41865.7117646399 & 26829.9048343304 & 56901.5186949495 \tabularnewline
126 & 41865.7117646399 & 25635.0043590984 & 58096.4191701815 \tabularnewline
127 & 41865.7117646399 & 24522.2335747538 & 59209.1899545261 \tabularnewline
128 & 41865.7117646399 & 23476.6767556513 & 60254.7467736286 \tabularnewline
129 & 41865.7117646399 & 22487.4512286536 & 61243.9723006263 \tabularnewline
130 & 41865.7117646399 & 21546.3280574671 & 62185.0954718128 \tabularnewline
131 & 41865.7117646399 & 20646.9057879108 & 63084.5177413691 \tabularnewline
132 & 41865.7117646399 & 19784.0881849113 & 63947.3353443686 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211009&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]41865.7117646399[/C][C]33111.6270785904[/C][C]50619.7964506894[/C][/ROW]
[ROW][C]122[/C][C]41865.7117646399[/C][C]31188.8970931529[/C][C]52542.526436127[/C][/ROW]
[ROW][C]123[/C][C]41865.7117646399[/C][C]29563.0801612782[/C][C]54168.3433680017[/C][/ROW]
[ROW][C]124[/C][C]41865.7117646399[/C][C]28128.3496740932[/C][C]55603.0738551867[/C][/ROW]
[ROW][C]125[/C][C]41865.7117646399[/C][C]26829.9048343304[/C][C]56901.5186949495[/C][/ROW]
[ROW][C]126[/C][C]41865.7117646399[/C][C]25635.0043590984[/C][C]58096.4191701815[/C][/ROW]
[ROW][C]127[/C][C]41865.7117646399[/C][C]24522.2335747538[/C][C]59209.1899545261[/C][/ROW]
[ROW][C]128[/C][C]41865.7117646399[/C][C]23476.6767556513[/C][C]60254.7467736286[/C][/ROW]
[ROW][C]129[/C][C]41865.7117646399[/C][C]22487.4512286536[/C][C]61243.9723006263[/C][/ROW]
[ROW][C]130[/C][C]41865.7117646399[/C][C]21546.3280574671[/C][C]62185.0954718128[/C][/ROW]
[ROW][C]131[/C][C]41865.7117646399[/C][C]20646.9057879108[/C][C]63084.5177413691[/C][/ROW]
[ROW][C]132[/C][C]41865.7117646399[/C][C]19784.0881849113[/C][C]63947.3353443686[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211009&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211009&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
12141865.711764639933111.627078590450619.7964506894
12241865.711764639931188.897093152952542.526436127
12341865.711764639929563.080161278254168.3433680017
12441865.711764639928128.349674093255603.0738551867
12541865.711764639926829.904834330456901.5186949495
12641865.711764639925635.004359098458096.4191701815
12741865.711764639924522.233574753859209.1899545261
12841865.711764639923476.676755651360254.7467736286
12941865.711764639922487.451228653661243.9723006263
13041865.711764639921546.328057467162185.0954718128
13141865.711764639920646.905787910863084.5177413691
13241865.711764639919784.088184911363947.3353443686



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')