Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 12 Aug 2011 12:15:46 -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/12/t1313165879u88dkyjf0uqe5kh.htm/, Retrieved Wed, 15 May 2024 15:12:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=123654, Retrieved Wed, 15 May 2024 15:12:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsMorel Sarah
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2011-08-12 16:15:46] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
588264
577918
567562
546859
756344
745987
588264
483527
493873
493873
504229
526055
462824
399492
347630
347630
546859
567562
409838
231412
325803
325803
399492
442021
431664
325803
378790
357986
536412
493873
325803
200263
315447
347630
378790
420195
336150
263595
294755
305101
577918
577918
420195
399492
462824
431664
515709
620447
641250
493873
452367
409838
694135
714939
661953
714939
704481
620447
714939
819676
862205
735641
651596
714939
987746
1071790
1051088
1092483
1082137
977399
1155825
1198354
1260562
1071790
998102
1082137
1282389
1460814
1418286
1418286
1439089
1366423
1555307
1555307
1523124
1344597
1376780
1397583
1534503
1712929
1586355
1649698
1596712
1565653
1807421
1754435
1680746
1576009
1680746
1733732
1796963
1880998
1796963
1848826
1785585
1775239
2037699
2059525
1975491
1828123
1953664
2006549
2069882
2164273
2069882
2143570
2111388
1996193
2237951
2237951




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123654&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123654&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123654&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.141142885808595
beta0.189180938227287
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.141142885808595 \tabularnewline
beta & 0.189180938227287 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123654&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]0.141142885808595[/C][/ROW]
[ROW][C]beta[/C][C]0.189180938227287[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123654&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123654&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
alpha0.141142885808595
beta0.189180938227287
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3567562567572-10
4546859557224.321555706-10365.3215557063
5756344545138.293058517211205.706941483
6745987569964.957319309176022.042680691
7588264594525.757913413-6261.75791341264
8483527593191.29825381-109664.29825381
9493873574334.099613673-80461.0996136727
10493873557450.289148115-63577.2891481151
11504229541251.896659409-37022.8966594089
12526055527812.899269533-1757.89926953334
13462824519304.366755375-56480.3667553753
14399492501564.034288417-102072.034288417
15347630474663.281427069-127033.281427069
16347630440847.441413421-93217.4414134209
17546859409315.41707276137543.58292724
18567562414026.295610807153535.704389193
19409838425093.98862117-15255.9886211703
20231412411930.576534792-180518.576534792
21325803370621.401239108-44818.4012391077
22325803347268.619796351-21465.6197963509
23399492326638.75213601872853.247863982
24442021321266.615814891120754.384185109
25431664325879.712557185105784.287442815
26325803331204.490403702-5401.49040370173
27378790320691.95857277758098.0414272235
28357986320693.24129596337292.7587040375
29536412318753.780596594217658.219403406
30493873348083.431947423145789.568052577
31325803371162.140949575-45359.1409495746
32200263366050.410466603-165787.410466603
33315447339514.306728561-24067.3067285613
34347630332338.35317018215291.6468298177
35378790331125.94647339147664.0535266089
36420195335755.37847990784439.621520093
37336150347830.088512598-11680.0885125984
38263595346026.30889597-82431.3088959705
39294755332035.454674646-37280.4546746464
40305101323421.87663036-18320.8766303602
41577918316995.11245953260922.88754047
42577918356948.662855647220969.337144353
43420195397163.27623204623031.7237679541
44399492410055.386221917-10563.3862219173
45462824417923.72672140144900.273278599
46431664434819.274783159-3155.27478315908
47515709444847.87340529670861.1265947036
48620447467215.461973649153231.538026351
49641250505300.566704293135949.433295707
50493873544576.485015698-50703.4850156978
51452367556153.810478174-103786.810478174
52409838557467.534155481-147629.534155481
53694135548651.232854065145483.767145935
54714939585090.429913136129848.570086864
55661953622789.9873896639163.01261034
56714939648735.63646999666203.3635300038
57704481680265.57070761724215.429292383
58620447706515.796077906-86068.7960779064
59714939714902.01791251836.9820874818834
60819676735442.44524100784233.5547589925
61862205770115.78574327492089.2142567262
62735641808356.820862989-72715.8208629888
63651596821395.173071746-169799.173071746
64714939816197.000769326-101258.000769326
65987746817969.182403894169776.817596106
661071790862529.303547921209260.696452079
671051088918249.876898597132838.123101403
681092483966730.930636243125752.069363757
6910821371017569.6126584164567.3873415877
709773991061496.56099844-84097.5609984372
7111558251082194.9748227673630.0251772399
7211983541127121.5506562471232.4493437628
7312605621173611.7420667786950.2579332315
7410717901224642.09644008-152852.096440081
759981021237744.66758191-239642.667581907
7610821371232198.5379242-150061.537924196
7712823891235289.272728647099.7272714013
7814608141267465.55289185193348.447108152
7914182861325446.5014016592839.4985983483
8014182861371720.2847852346565.7152147656
8114390891412706.2293180526382.7706819498
8213664231451547.95551602-85124.9555160233
8315553071472378.1917405982928.8082594112
8415553071519142.3483416536164.6516583534
8515231241560271.72894926-37147.7289492635
8613445971590061.68688968-245464.686889678
8713767801583894.90219375-207114.902193751
8813975831577610.62919681-180027.629196808
8915345031570342.51649609-35839.5164960893
9017129291582468.55971031130460.440289694
9115863551621550.15386454-35195.1538645439
9216496981636310.8744754513387.1255245479
9315967121658286.09511385-61574.0951138514
9415656531668036.94936468-102383.949364677
9518074211669293.97353317138127.026466833
9617544351708185.6157133646249.3842866353
9716807461735344.31228418-54598.3122841762
9815760091746811.21472-170802.214720001
9916807461737316.08024709-56570.080247086
10017337321742433.49042377-8701.4904237662
10117969631754074.868282142888.1317179014
10218809981774142.93360461106855.066395388
10317969631806092.67189395-9129.67189394683
10418488261821428.2131795927397.7868204073
10517855851842650.90859771-57065.9085977073
10617752391850428.40645416-75189.4064541599
10720376991853640.22831042184058.771689583
10820595251898357.73948063161167.260519375
10919754911944147.6913311831343.3086688232
11018281231972450.83069224-144327.830692244
11119536641972105.46263226-18441.4626322577
11220065491989035.6443264117513.3556735895
11320698822011508.226464458373.7735356016
11421642732041306.63575168122966.364248321
11520698822083505.22142557-13623.2214255661
11621435702106061.397765737508.6022343002
11721113882136836.00483033-25448.0048303287
11819961932158045.23368361-161852.233683611
11922379512155680.2715718482270.7284281636
12022379512189968.2842636147982.7157363901

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 567562 & 567572 & -10 \tabularnewline
4 & 546859 & 557224.321555706 & -10365.3215557063 \tabularnewline
5 & 756344 & 545138.293058517 & 211205.706941483 \tabularnewline
6 & 745987 & 569964.957319309 & 176022.042680691 \tabularnewline
7 & 588264 & 594525.757913413 & -6261.75791341264 \tabularnewline
8 & 483527 & 593191.29825381 & -109664.29825381 \tabularnewline
9 & 493873 & 574334.099613673 & -80461.0996136727 \tabularnewline
10 & 493873 & 557450.289148115 & -63577.2891481151 \tabularnewline
11 & 504229 & 541251.896659409 & -37022.8966594089 \tabularnewline
12 & 526055 & 527812.899269533 & -1757.89926953334 \tabularnewline
13 & 462824 & 519304.366755375 & -56480.3667553753 \tabularnewline
14 & 399492 & 501564.034288417 & -102072.034288417 \tabularnewline
15 & 347630 & 474663.281427069 & -127033.281427069 \tabularnewline
16 & 347630 & 440847.441413421 & -93217.4414134209 \tabularnewline
17 & 546859 & 409315.41707276 & 137543.58292724 \tabularnewline
18 & 567562 & 414026.295610807 & 153535.704389193 \tabularnewline
19 & 409838 & 425093.98862117 & -15255.9886211703 \tabularnewline
20 & 231412 & 411930.576534792 & -180518.576534792 \tabularnewline
21 & 325803 & 370621.401239108 & -44818.4012391077 \tabularnewline
22 & 325803 & 347268.619796351 & -21465.6197963509 \tabularnewline
23 & 399492 & 326638.752136018 & 72853.247863982 \tabularnewline
24 & 442021 & 321266.615814891 & 120754.384185109 \tabularnewline
25 & 431664 & 325879.712557185 & 105784.287442815 \tabularnewline
26 & 325803 & 331204.490403702 & -5401.49040370173 \tabularnewline
27 & 378790 & 320691.958572777 & 58098.0414272235 \tabularnewline
28 & 357986 & 320693.241295963 & 37292.7587040375 \tabularnewline
29 & 536412 & 318753.780596594 & 217658.219403406 \tabularnewline
30 & 493873 & 348083.431947423 & 145789.568052577 \tabularnewline
31 & 325803 & 371162.140949575 & -45359.1409495746 \tabularnewline
32 & 200263 & 366050.410466603 & -165787.410466603 \tabularnewline
33 & 315447 & 339514.306728561 & -24067.3067285613 \tabularnewline
34 & 347630 & 332338.353170182 & 15291.6468298177 \tabularnewline
35 & 378790 & 331125.946473391 & 47664.0535266089 \tabularnewline
36 & 420195 & 335755.378479907 & 84439.621520093 \tabularnewline
37 & 336150 & 347830.088512598 & -11680.0885125984 \tabularnewline
38 & 263595 & 346026.30889597 & -82431.3088959705 \tabularnewline
39 & 294755 & 332035.454674646 & -37280.4546746464 \tabularnewline
40 & 305101 & 323421.87663036 & -18320.8766303602 \tabularnewline
41 & 577918 & 316995.11245953 & 260922.88754047 \tabularnewline
42 & 577918 & 356948.662855647 & 220969.337144353 \tabularnewline
43 & 420195 & 397163.276232046 & 23031.7237679541 \tabularnewline
44 & 399492 & 410055.386221917 & -10563.3862219173 \tabularnewline
45 & 462824 & 417923.726721401 & 44900.273278599 \tabularnewline
46 & 431664 & 434819.274783159 & -3155.27478315908 \tabularnewline
47 & 515709 & 444847.873405296 & 70861.1265947036 \tabularnewline
48 & 620447 & 467215.461973649 & 153231.538026351 \tabularnewline
49 & 641250 & 505300.566704293 & 135949.433295707 \tabularnewline
50 & 493873 & 544576.485015698 & -50703.4850156978 \tabularnewline
51 & 452367 & 556153.810478174 & -103786.810478174 \tabularnewline
52 & 409838 & 557467.534155481 & -147629.534155481 \tabularnewline
53 & 694135 & 548651.232854065 & 145483.767145935 \tabularnewline
54 & 714939 & 585090.429913136 & 129848.570086864 \tabularnewline
55 & 661953 & 622789.98738966 & 39163.01261034 \tabularnewline
56 & 714939 & 648735.636469996 & 66203.3635300038 \tabularnewline
57 & 704481 & 680265.570707617 & 24215.429292383 \tabularnewline
58 & 620447 & 706515.796077906 & -86068.7960779064 \tabularnewline
59 & 714939 & 714902.017912518 & 36.9820874818834 \tabularnewline
60 & 819676 & 735442.445241007 & 84233.5547589925 \tabularnewline
61 & 862205 & 770115.785743274 & 92089.2142567262 \tabularnewline
62 & 735641 & 808356.820862989 & -72715.8208629888 \tabularnewline
63 & 651596 & 821395.173071746 & -169799.173071746 \tabularnewline
64 & 714939 & 816197.000769326 & -101258.000769326 \tabularnewline
65 & 987746 & 817969.182403894 & 169776.817596106 \tabularnewline
66 & 1071790 & 862529.303547921 & 209260.696452079 \tabularnewline
67 & 1051088 & 918249.876898597 & 132838.123101403 \tabularnewline
68 & 1092483 & 966730.930636243 & 125752.069363757 \tabularnewline
69 & 1082137 & 1017569.61265841 & 64567.3873415877 \tabularnewline
70 & 977399 & 1061496.56099844 & -84097.5609984372 \tabularnewline
71 & 1155825 & 1082194.97482276 & 73630.0251772399 \tabularnewline
72 & 1198354 & 1127121.55065624 & 71232.4493437628 \tabularnewline
73 & 1260562 & 1173611.74206677 & 86950.2579332315 \tabularnewline
74 & 1071790 & 1224642.09644008 & -152852.096440081 \tabularnewline
75 & 998102 & 1237744.66758191 & -239642.667581907 \tabularnewline
76 & 1082137 & 1232198.5379242 & -150061.537924196 \tabularnewline
77 & 1282389 & 1235289.2727286 & 47099.7272714013 \tabularnewline
78 & 1460814 & 1267465.55289185 & 193348.447108152 \tabularnewline
79 & 1418286 & 1325446.50140165 & 92839.4985983483 \tabularnewline
80 & 1418286 & 1371720.28478523 & 46565.7152147656 \tabularnewline
81 & 1439089 & 1412706.22931805 & 26382.7706819498 \tabularnewline
82 & 1366423 & 1451547.95551602 & -85124.9555160233 \tabularnewline
83 & 1555307 & 1472378.19174059 & 82928.8082594112 \tabularnewline
84 & 1555307 & 1519142.34834165 & 36164.6516583534 \tabularnewline
85 & 1523124 & 1560271.72894926 & -37147.7289492635 \tabularnewline
86 & 1344597 & 1590061.68688968 & -245464.686889678 \tabularnewline
87 & 1376780 & 1583894.90219375 & -207114.902193751 \tabularnewline
88 & 1397583 & 1577610.62919681 & -180027.629196808 \tabularnewline
89 & 1534503 & 1570342.51649609 & -35839.5164960893 \tabularnewline
90 & 1712929 & 1582468.55971031 & 130460.440289694 \tabularnewline
91 & 1586355 & 1621550.15386454 & -35195.1538645439 \tabularnewline
92 & 1649698 & 1636310.87447545 & 13387.1255245479 \tabularnewline
93 & 1596712 & 1658286.09511385 & -61574.0951138514 \tabularnewline
94 & 1565653 & 1668036.94936468 & -102383.949364677 \tabularnewline
95 & 1807421 & 1669293.97353317 & 138127.026466833 \tabularnewline
96 & 1754435 & 1708185.61571336 & 46249.3842866353 \tabularnewline
97 & 1680746 & 1735344.31228418 & -54598.3122841762 \tabularnewline
98 & 1576009 & 1746811.21472 & -170802.214720001 \tabularnewline
99 & 1680746 & 1737316.08024709 & -56570.080247086 \tabularnewline
100 & 1733732 & 1742433.49042377 & -8701.4904237662 \tabularnewline
101 & 1796963 & 1754074.8682821 & 42888.1317179014 \tabularnewline
102 & 1880998 & 1774142.93360461 & 106855.066395388 \tabularnewline
103 & 1796963 & 1806092.67189395 & -9129.67189394683 \tabularnewline
104 & 1848826 & 1821428.21317959 & 27397.7868204073 \tabularnewline
105 & 1785585 & 1842650.90859771 & -57065.9085977073 \tabularnewline
106 & 1775239 & 1850428.40645416 & -75189.4064541599 \tabularnewline
107 & 2037699 & 1853640.22831042 & 184058.771689583 \tabularnewline
108 & 2059525 & 1898357.73948063 & 161167.260519375 \tabularnewline
109 & 1975491 & 1944147.69133118 & 31343.3086688232 \tabularnewline
110 & 1828123 & 1972450.83069224 & -144327.830692244 \tabularnewline
111 & 1953664 & 1972105.46263226 & -18441.4626322577 \tabularnewline
112 & 2006549 & 1989035.64432641 & 17513.3556735895 \tabularnewline
113 & 2069882 & 2011508.2264644 & 58373.7735356016 \tabularnewline
114 & 2164273 & 2041306.63575168 & 122966.364248321 \tabularnewline
115 & 2069882 & 2083505.22142557 & -13623.2214255661 \tabularnewline
116 & 2143570 & 2106061.3977657 & 37508.6022343002 \tabularnewline
117 & 2111388 & 2136836.00483033 & -25448.0048303287 \tabularnewline
118 & 1996193 & 2158045.23368361 & -161852.233683611 \tabularnewline
119 & 2237951 & 2155680.27157184 & 82270.7284281636 \tabularnewline
120 & 2237951 & 2189968.28426361 & 47982.7157363901 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123654&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]567562[/C][C]567572[/C][C]-10[/C][/ROW]
[ROW][C]4[/C][C]546859[/C][C]557224.321555706[/C][C]-10365.3215557063[/C][/ROW]
[ROW][C]5[/C][C]756344[/C][C]545138.293058517[/C][C]211205.706941483[/C][/ROW]
[ROW][C]6[/C][C]745987[/C][C]569964.957319309[/C][C]176022.042680691[/C][/ROW]
[ROW][C]7[/C][C]588264[/C][C]594525.757913413[/C][C]-6261.75791341264[/C][/ROW]
[ROW][C]8[/C][C]483527[/C][C]593191.29825381[/C][C]-109664.29825381[/C][/ROW]
[ROW][C]9[/C][C]493873[/C][C]574334.099613673[/C][C]-80461.0996136727[/C][/ROW]
[ROW][C]10[/C][C]493873[/C][C]557450.289148115[/C][C]-63577.2891481151[/C][/ROW]
[ROW][C]11[/C][C]504229[/C][C]541251.896659409[/C][C]-37022.8966594089[/C][/ROW]
[ROW][C]12[/C][C]526055[/C][C]527812.899269533[/C][C]-1757.89926953334[/C][/ROW]
[ROW][C]13[/C][C]462824[/C][C]519304.366755375[/C][C]-56480.3667553753[/C][/ROW]
[ROW][C]14[/C][C]399492[/C][C]501564.034288417[/C][C]-102072.034288417[/C][/ROW]
[ROW][C]15[/C][C]347630[/C][C]474663.281427069[/C][C]-127033.281427069[/C][/ROW]
[ROW][C]16[/C][C]347630[/C][C]440847.441413421[/C][C]-93217.4414134209[/C][/ROW]
[ROW][C]17[/C][C]546859[/C][C]409315.41707276[/C][C]137543.58292724[/C][/ROW]
[ROW][C]18[/C][C]567562[/C][C]414026.295610807[/C][C]153535.704389193[/C][/ROW]
[ROW][C]19[/C][C]409838[/C][C]425093.98862117[/C][C]-15255.9886211703[/C][/ROW]
[ROW][C]20[/C][C]231412[/C][C]411930.576534792[/C][C]-180518.576534792[/C][/ROW]
[ROW][C]21[/C][C]325803[/C][C]370621.401239108[/C][C]-44818.4012391077[/C][/ROW]
[ROW][C]22[/C][C]325803[/C][C]347268.619796351[/C][C]-21465.6197963509[/C][/ROW]
[ROW][C]23[/C][C]399492[/C][C]326638.752136018[/C][C]72853.247863982[/C][/ROW]
[ROW][C]24[/C][C]442021[/C][C]321266.615814891[/C][C]120754.384185109[/C][/ROW]
[ROW][C]25[/C][C]431664[/C][C]325879.712557185[/C][C]105784.287442815[/C][/ROW]
[ROW][C]26[/C][C]325803[/C][C]331204.490403702[/C][C]-5401.49040370173[/C][/ROW]
[ROW][C]27[/C][C]378790[/C][C]320691.958572777[/C][C]58098.0414272235[/C][/ROW]
[ROW][C]28[/C][C]357986[/C][C]320693.241295963[/C][C]37292.7587040375[/C][/ROW]
[ROW][C]29[/C][C]536412[/C][C]318753.780596594[/C][C]217658.219403406[/C][/ROW]
[ROW][C]30[/C][C]493873[/C][C]348083.431947423[/C][C]145789.568052577[/C][/ROW]
[ROW][C]31[/C][C]325803[/C][C]371162.140949575[/C][C]-45359.1409495746[/C][/ROW]
[ROW][C]32[/C][C]200263[/C][C]366050.410466603[/C][C]-165787.410466603[/C][/ROW]
[ROW][C]33[/C][C]315447[/C][C]339514.306728561[/C][C]-24067.3067285613[/C][/ROW]
[ROW][C]34[/C][C]347630[/C][C]332338.353170182[/C][C]15291.6468298177[/C][/ROW]
[ROW][C]35[/C][C]378790[/C][C]331125.946473391[/C][C]47664.0535266089[/C][/ROW]
[ROW][C]36[/C][C]420195[/C][C]335755.378479907[/C][C]84439.621520093[/C][/ROW]
[ROW][C]37[/C][C]336150[/C][C]347830.088512598[/C][C]-11680.0885125984[/C][/ROW]
[ROW][C]38[/C][C]263595[/C][C]346026.30889597[/C][C]-82431.3088959705[/C][/ROW]
[ROW][C]39[/C][C]294755[/C][C]332035.454674646[/C][C]-37280.4546746464[/C][/ROW]
[ROW][C]40[/C][C]305101[/C][C]323421.87663036[/C][C]-18320.8766303602[/C][/ROW]
[ROW][C]41[/C][C]577918[/C][C]316995.11245953[/C][C]260922.88754047[/C][/ROW]
[ROW][C]42[/C][C]577918[/C][C]356948.662855647[/C][C]220969.337144353[/C][/ROW]
[ROW][C]43[/C][C]420195[/C][C]397163.276232046[/C][C]23031.7237679541[/C][/ROW]
[ROW][C]44[/C][C]399492[/C][C]410055.386221917[/C][C]-10563.3862219173[/C][/ROW]
[ROW][C]45[/C][C]462824[/C][C]417923.726721401[/C][C]44900.273278599[/C][/ROW]
[ROW][C]46[/C][C]431664[/C][C]434819.274783159[/C][C]-3155.27478315908[/C][/ROW]
[ROW][C]47[/C][C]515709[/C][C]444847.873405296[/C][C]70861.1265947036[/C][/ROW]
[ROW][C]48[/C][C]620447[/C][C]467215.461973649[/C][C]153231.538026351[/C][/ROW]
[ROW][C]49[/C][C]641250[/C][C]505300.566704293[/C][C]135949.433295707[/C][/ROW]
[ROW][C]50[/C][C]493873[/C][C]544576.485015698[/C][C]-50703.4850156978[/C][/ROW]
[ROW][C]51[/C][C]452367[/C][C]556153.810478174[/C][C]-103786.810478174[/C][/ROW]
[ROW][C]52[/C][C]409838[/C][C]557467.534155481[/C][C]-147629.534155481[/C][/ROW]
[ROW][C]53[/C][C]694135[/C][C]548651.232854065[/C][C]145483.767145935[/C][/ROW]
[ROW][C]54[/C][C]714939[/C][C]585090.429913136[/C][C]129848.570086864[/C][/ROW]
[ROW][C]55[/C][C]661953[/C][C]622789.98738966[/C][C]39163.01261034[/C][/ROW]
[ROW][C]56[/C][C]714939[/C][C]648735.636469996[/C][C]66203.3635300038[/C][/ROW]
[ROW][C]57[/C][C]704481[/C][C]680265.570707617[/C][C]24215.429292383[/C][/ROW]
[ROW][C]58[/C][C]620447[/C][C]706515.796077906[/C][C]-86068.7960779064[/C][/ROW]
[ROW][C]59[/C][C]714939[/C][C]714902.017912518[/C][C]36.9820874818834[/C][/ROW]
[ROW][C]60[/C][C]819676[/C][C]735442.445241007[/C][C]84233.5547589925[/C][/ROW]
[ROW][C]61[/C][C]862205[/C][C]770115.785743274[/C][C]92089.2142567262[/C][/ROW]
[ROW][C]62[/C][C]735641[/C][C]808356.820862989[/C][C]-72715.8208629888[/C][/ROW]
[ROW][C]63[/C][C]651596[/C][C]821395.173071746[/C][C]-169799.173071746[/C][/ROW]
[ROW][C]64[/C][C]714939[/C][C]816197.000769326[/C][C]-101258.000769326[/C][/ROW]
[ROW][C]65[/C][C]987746[/C][C]817969.182403894[/C][C]169776.817596106[/C][/ROW]
[ROW][C]66[/C][C]1071790[/C][C]862529.303547921[/C][C]209260.696452079[/C][/ROW]
[ROW][C]67[/C][C]1051088[/C][C]918249.876898597[/C][C]132838.123101403[/C][/ROW]
[ROW][C]68[/C][C]1092483[/C][C]966730.930636243[/C][C]125752.069363757[/C][/ROW]
[ROW][C]69[/C][C]1082137[/C][C]1017569.61265841[/C][C]64567.3873415877[/C][/ROW]
[ROW][C]70[/C][C]977399[/C][C]1061496.56099844[/C][C]-84097.5609984372[/C][/ROW]
[ROW][C]71[/C][C]1155825[/C][C]1082194.97482276[/C][C]73630.0251772399[/C][/ROW]
[ROW][C]72[/C][C]1198354[/C][C]1127121.55065624[/C][C]71232.4493437628[/C][/ROW]
[ROW][C]73[/C][C]1260562[/C][C]1173611.74206677[/C][C]86950.2579332315[/C][/ROW]
[ROW][C]74[/C][C]1071790[/C][C]1224642.09644008[/C][C]-152852.096440081[/C][/ROW]
[ROW][C]75[/C][C]998102[/C][C]1237744.66758191[/C][C]-239642.667581907[/C][/ROW]
[ROW][C]76[/C][C]1082137[/C][C]1232198.5379242[/C][C]-150061.537924196[/C][/ROW]
[ROW][C]77[/C][C]1282389[/C][C]1235289.2727286[/C][C]47099.7272714013[/C][/ROW]
[ROW][C]78[/C][C]1460814[/C][C]1267465.55289185[/C][C]193348.447108152[/C][/ROW]
[ROW][C]79[/C][C]1418286[/C][C]1325446.50140165[/C][C]92839.4985983483[/C][/ROW]
[ROW][C]80[/C][C]1418286[/C][C]1371720.28478523[/C][C]46565.7152147656[/C][/ROW]
[ROW][C]81[/C][C]1439089[/C][C]1412706.22931805[/C][C]26382.7706819498[/C][/ROW]
[ROW][C]82[/C][C]1366423[/C][C]1451547.95551602[/C][C]-85124.9555160233[/C][/ROW]
[ROW][C]83[/C][C]1555307[/C][C]1472378.19174059[/C][C]82928.8082594112[/C][/ROW]
[ROW][C]84[/C][C]1555307[/C][C]1519142.34834165[/C][C]36164.6516583534[/C][/ROW]
[ROW][C]85[/C][C]1523124[/C][C]1560271.72894926[/C][C]-37147.7289492635[/C][/ROW]
[ROW][C]86[/C][C]1344597[/C][C]1590061.68688968[/C][C]-245464.686889678[/C][/ROW]
[ROW][C]87[/C][C]1376780[/C][C]1583894.90219375[/C][C]-207114.902193751[/C][/ROW]
[ROW][C]88[/C][C]1397583[/C][C]1577610.62919681[/C][C]-180027.629196808[/C][/ROW]
[ROW][C]89[/C][C]1534503[/C][C]1570342.51649609[/C][C]-35839.5164960893[/C][/ROW]
[ROW][C]90[/C][C]1712929[/C][C]1582468.55971031[/C][C]130460.440289694[/C][/ROW]
[ROW][C]91[/C][C]1586355[/C][C]1621550.15386454[/C][C]-35195.1538645439[/C][/ROW]
[ROW][C]92[/C][C]1649698[/C][C]1636310.87447545[/C][C]13387.1255245479[/C][/ROW]
[ROW][C]93[/C][C]1596712[/C][C]1658286.09511385[/C][C]-61574.0951138514[/C][/ROW]
[ROW][C]94[/C][C]1565653[/C][C]1668036.94936468[/C][C]-102383.949364677[/C][/ROW]
[ROW][C]95[/C][C]1807421[/C][C]1669293.97353317[/C][C]138127.026466833[/C][/ROW]
[ROW][C]96[/C][C]1754435[/C][C]1708185.61571336[/C][C]46249.3842866353[/C][/ROW]
[ROW][C]97[/C][C]1680746[/C][C]1735344.31228418[/C][C]-54598.3122841762[/C][/ROW]
[ROW][C]98[/C][C]1576009[/C][C]1746811.21472[/C][C]-170802.214720001[/C][/ROW]
[ROW][C]99[/C][C]1680746[/C][C]1737316.08024709[/C][C]-56570.080247086[/C][/ROW]
[ROW][C]100[/C][C]1733732[/C][C]1742433.49042377[/C][C]-8701.4904237662[/C][/ROW]
[ROW][C]101[/C][C]1796963[/C][C]1754074.8682821[/C][C]42888.1317179014[/C][/ROW]
[ROW][C]102[/C][C]1880998[/C][C]1774142.93360461[/C][C]106855.066395388[/C][/ROW]
[ROW][C]103[/C][C]1796963[/C][C]1806092.67189395[/C][C]-9129.67189394683[/C][/ROW]
[ROW][C]104[/C][C]1848826[/C][C]1821428.21317959[/C][C]27397.7868204073[/C][/ROW]
[ROW][C]105[/C][C]1785585[/C][C]1842650.90859771[/C][C]-57065.9085977073[/C][/ROW]
[ROW][C]106[/C][C]1775239[/C][C]1850428.40645416[/C][C]-75189.4064541599[/C][/ROW]
[ROW][C]107[/C][C]2037699[/C][C]1853640.22831042[/C][C]184058.771689583[/C][/ROW]
[ROW][C]108[/C][C]2059525[/C][C]1898357.73948063[/C][C]161167.260519375[/C][/ROW]
[ROW][C]109[/C][C]1975491[/C][C]1944147.69133118[/C][C]31343.3086688232[/C][/ROW]
[ROW][C]110[/C][C]1828123[/C][C]1972450.83069224[/C][C]-144327.830692244[/C][/ROW]
[ROW][C]111[/C][C]1953664[/C][C]1972105.46263226[/C][C]-18441.4626322577[/C][/ROW]
[ROW][C]112[/C][C]2006549[/C][C]1989035.64432641[/C][C]17513.3556735895[/C][/ROW]
[ROW][C]113[/C][C]2069882[/C][C]2011508.2264644[/C][C]58373.7735356016[/C][/ROW]
[ROW][C]114[/C][C]2164273[/C][C]2041306.63575168[/C][C]122966.364248321[/C][/ROW]
[ROW][C]115[/C][C]2069882[/C][C]2083505.22142557[/C][C]-13623.2214255661[/C][/ROW]
[ROW][C]116[/C][C]2143570[/C][C]2106061.3977657[/C][C]37508.6022343002[/C][/ROW]
[ROW][C]117[/C][C]2111388[/C][C]2136836.00483033[/C][C]-25448.0048303287[/C][/ROW]
[ROW][C]118[/C][C]1996193[/C][C]2158045.23368361[/C][C]-161852.233683611[/C][/ROW]
[ROW][C]119[/C][C]2237951[/C][C]2155680.27157184[/C][C]82270.7284281636[/C][/ROW]
[ROW][C]120[/C][C]2237951[/C][C]2189968.28426361[/C][C]47982.7157363901[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123654&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123654&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
3567562567572-10
4546859557224.321555706-10365.3215557063
5756344545138.293058517211205.706941483
6745987569964.957319309176022.042680691
7588264594525.757913413-6261.75791341264
8483527593191.29825381-109664.29825381
9493873574334.099613673-80461.0996136727
10493873557450.289148115-63577.2891481151
11504229541251.896659409-37022.8966594089
12526055527812.899269533-1757.89926953334
13462824519304.366755375-56480.3667553753
14399492501564.034288417-102072.034288417
15347630474663.281427069-127033.281427069
16347630440847.441413421-93217.4414134209
17546859409315.41707276137543.58292724
18567562414026.295610807153535.704389193
19409838425093.98862117-15255.9886211703
20231412411930.576534792-180518.576534792
21325803370621.401239108-44818.4012391077
22325803347268.619796351-21465.6197963509
23399492326638.75213601872853.247863982
24442021321266.615814891120754.384185109
25431664325879.712557185105784.287442815
26325803331204.490403702-5401.49040370173
27378790320691.95857277758098.0414272235
28357986320693.24129596337292.7587040375
29536412318753.780596594217658.219403406
30493873348083.431947423145789.568052577
31325803371162.140949575-45359.1409495746
32200263366050.410466603-165787.410466603
33315447339514.306728561-24067.3067285613
34347630332338.35317018215291.6468298177
35378790331125.94647339147664.0535266089
36420195335755.37847990784439.621520093
37336150347830.088512598-11680.0885125984
38263595346026.30889597-82431.3088959705
39294755332035.454674646-37280.4546746464
40305101323421.87663036-18320.8766303602
41577918316995.11245953260922.88754047
42577918356948.662855647220969.337144353
43420195397163.27623204623031.7237679541
44399492410055.386221917-10563.3862219173
45462824417923.72672140144900.273278599
46431664434819.274783159-3155.27478315908
47515709444847.87340529670861.1265947036
48620447467215.461973649153231.538026351
49641250505300.566704293135949.433295707
50493873544576.485015698-50703.4850156978
51452367556153.810478174-103786.810478174
52409838557467.534155481-147629.534155481
53694135548651.232854065145483.767145935
54714939585090.429913136129848.570086864
55661953622789.9873896639163.01261034
56714939648735.63646999666203.3635300038
57704481680265.57070761724215.429292383
58620447706515.796077906-86068.7960779064
59714939714902.01791251836.9820874818834
60819676735442.44524100784233.5547589925
61862205770115.78574327492089.2142567262
62735641808356.820862989-72715.8208629888
63651596821395.173071746-169799.173071746
64714939816197.000769326-101258.000769326
65987746817969.182403894169776.817596106
661071790862529.303547921209260.696452079
671051088918249.876898597132838.123101403
681092483966730.930636243125752.069363757
6910821371017569.6126584164567.3873415877
709773991061496.56099844-84097.5609984372
7111558251082194.9748227673630.0251772399
7211983541127121.5506562471232.4493437628
7312605621173611.7420667786950.2579332315
7410717901224642.09644008-152852.096440081
759981021237744.66758191-239642.667581907
7610821371232198.5379242-150061.537924196
7712823891235289.272728647099.7272714013
7814608141267465.55289185193348.447108152
7914182861325446.5014016592839.4985983483
8014182861371720.2847852346565.7152147656
8114390891412706.2293180526382.7706819498
8213664231451547.95551602-85124.9555160233
8315553071472378.1917405982928.8082594112
8415553071519142.3483416536164.6516583534
8515231241560271.72894926-37147.7289492635
8613445971590061.68688968-245464.686889678
8713767801583894.90219375-207114.902193751
8813975831577610.62919681-180027.629196808
8915345031570342.51649609-35839.5164960893
9017129291582468.55971031130460.440289694
9115863551621550.15386454-35195.1538645439
9216496981636310.8744754513387.1255245479
9315967121658286.09511385-61574.0951138514
9415656531668036.94936468-102383.949364677
9518074211669293.97353317138127.026466833
9617544351708185.6157133646249.3842866353
9716807461735344.31228418-54598.3122841762
9815760091746811.21472-170802.214720001
9916807461737316.08024709-56570.080247086
10017337321742433.49042377-8701.4904237662
10117969631754074.868282142888.1317179014
10218809981774142.93360461106855.066395388
10317969631806092.67189395-9129.67189394683
10418488261821428.2131795927397.7868204073
10517855851842650.90859771-57065.9085977073
10617752391850428.40645416-75189.4064541599
10720376991853640.22831042184058.771689583
10820595251898357.73948063161167.260519375
10919754911944147.6913311831343.3086688232
11018281231972450.83069224-144327.830692244
11119536641972105.46263226-18441.4626322577
11220065491989035.6443264117513.3556735895
11320698822011508.226464458373.7735356016
11421642732041306.63575168122966.364248321
11520698822083505.22142557-13623.2214255661
11621435702106061.397765737508.6022343002
11721113882136836.00483033-25448.0048303287
11819961932158045.23368361-161852.233683611
11922379512155680.2715718482270.7284281636
12022379512189968.2842636147982.7157363901







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1212220698.000469852009190.361264282432205.63967543
1222244655.297708132030189.080433342459121.51498292
1232268612.594946412050234.681870942486990.50802187
1242292569.892184682069234.41476762515905.36960177
1252316527.189422962087117.040685772545937.33816014
1262340484.486661232103833.803458352577135.16986412
1272364441.783899512119357.891419542609525.67637948
1282388399.081137792133682.548200622643115.61407496
1292412356.378376062146818.189813122677894.566939
1302436313.675614342158788.979444632713838.37178404
1312460270.972852612169629.295391122750912.6503141
1322484228.270090892179380.434284892789076.10589689

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 2220698.00046985 & 2009190.36126428 & 2432205.63967543 \tabularnewline
122 & 2244655.29770813 & 2030189.08043334 & 2459121.51498292 \tabularnewline
123 & 2268612.59494641 & 2050234.68187094 & 2486990.50802187 \tabularnewline
124 & 2292569.89218468 & 2069234.4147676 & 2515905.36960177 \tabularnewline
125 & 2316527.18942296 & 2087117.04068577 & 2545937.33816014 \tabularnewline
126 & 2340484.48666123 & 2103833.80345835 & 2577135.16986412 \tabularnewline
127 & 2364441.78389951 & 2119357.89141954 & 2609525.67637948 \tabularnewline
128 & 2388399.08113779 & 2133682.54820062 & 2643115.61407496 \tabularnewline
129 & 2412356.37837606 & 2146818.18981312 & 2677894.566939 \tabularnewline
130 & 2436313.67561434 & 2158788.97944463 & 2713838.37178404 \tabularnewline
131 & 2460270.97285261 & 2169629.29539112 & 2750912.6503141 \tabularnewline
132 & 2484228.27009089 & 2179380.43428489 & 2789076.10589689 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=123654&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]2220698.00046985[/C][C]2009190.36126428[/C][C]2432205.63967543[/C][/ROW]
[ROW][C]122[/C][C]2244655.29770813[/C][C]2030189.08043334[/C][C]2459121.51498292[/C][/ROW]
[ROW][C]123[/C][C]2268612.59494641[/C][C]2050234.68187094[/C][C]2486990.50802187[/C][/ROW]
[ROW][C]124[/C][C]2292569.89218468[/C][C]2069234.4147676[/C][C]2515905.36960177[/C][/ROW]
[ROW][C]125[/C][C]2316527.18942296[/C][C]2087117.04068577[/C][C]2545937.33816014[/C][/ROW]
[ROW][C]126[/C][C]2340484.48666123[/C][C]2103833.80345835[/C][C]2577135.16986412[/C][/ROW]
[ROW][C]127[/C][C]2364441.78389951[/C][C]2119357.89141954[/C][C]2609525.67637948[/C][/ROW]
[ROW][C]128[/C][C]2388399.08113779[/C][C]2133682.54820062[/C][C]2643115.61407496[/C][/ROW]
[ROW][C]129[/C][C]2412356.37837606[/C][C]2146818.18981312[/C][C]2677894.566939[/C][/ROW]
[ROW][C]130[/C][C]2436313.67561434[/C][C]2158788.97944463[/C][C]2713838.37178404[/C][/ROW]
[ROW][C]131[/C][C]2460270.97285261[/C][C]2169629.29539112[/C][C]2750912.6503141[/C][/ROW]
[ROW][C]132[/C][C]2484228.27009089[/C][C]2179380.43428489[/C][C]2789076.10589689[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=123654&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=123654&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
1212220698.000469852009190.361264282432205.63967543
1222244655.297708132030189.080433342459121.51498292
1232268612.594946412050234.681870942486990.50802187
1242292569.892184682069234.41476762515905.36960177
1252316527.189422962087117.040685772545937.33816014
1262340484.486661232103833.803458352577135.16986412
1272364441.783899512119357.891419542609525.67637948
1282388399.081137792133682.548200622643115.61407496
1292412356.378376062146818.189813122677894.566939
1302436313.675614342158788.979444632713838.37178404
1312460270.972852612169629.295391122750912.6503141
1322484228.270090892179380.434284892789076.10589689



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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')