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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 12 Dec 2010 11:16:02 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292152457zozx1t8ecrqzh0w.htm/, Retrieved Tue, 07 May 2024 11:58:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108377, Retrieved Tue, 07 May 2024 11:58:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Exponential Smoothing] [Unemployment] [2010-11-30 13:37:23] [b98453cac15ba1066b407e146608df68]
-    D      [Exponential Smoothing] [Exponential Smoot...] [2010-12-12 11:16:02] [18ef3d986e8801a4b28404e69e5bf56b] [Current]
-   PD        [Exponential Smoothing] [Exponential Smoot...] [2010-12-24 14:38:01] [aeb27d5c05332f2e597ad139ee63fbe4]
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Dataseries X:
43880
43110
44496
44164
40399
36763
37903
35532
35533
32110
33374
35462
33508
36080
34560
38737
38144
37594
36424
36843
37246
38661
40454
44928
48441
48140
45998
47369
49554
47510
44873
45344
42413
36912
43452
42142
44382
43636
44167
44423
42868
43908
42013
38846
35087
33026
34646
37135
37985
43121
43722
43630
42234
39351
39327
35704
30466
28155
29257
29998
32529
34787
33855
34556
31348
30805
28353
24514
21106
21346
23335
24379
26290
30084
29429
30632
27349
27264
27474
24482
21453
18788
19282
19713
21917
23812
23785
24696
24562
23580
24939
23899
21454
19761
19815
20780
23462
25005
24725
26198
27543
26471
26558
25317
22896
22248
23406
25073
27691
30599
31948
32946
34012
32936
32974
30951
29812
29010
31068
32447
34844
35676
35387
36488
35652
33488
32914
29781
27951




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108377&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108377&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108377&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.859273893725624
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.859273893725624 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108377&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]0.859273893725624[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108377&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108377&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
alpha0.859273893725624
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
133350835364.6626602564-1856.66266025641
143608036276.0354231599-196.035423159919
153456034389.3418181102170.658181889841
163873738296.4051215425440.594878457545
173814437441.7929812939702.207018706089
183759436733.5189901093860.48100989069
193642436951.8290409387-527.829040938726
203684334780.11717536022062.8828246398
213724637188.369715371857.6302846281615
223866134382.76943075784278.23056924218
234045439570.7791198969883.220880103108
244492842404.79561421322523.2043857868
254844142312.39288092796128.6071190721
264814050318.9931046143-2178.99310461434
274599846779.9990947625-781.999094762476
284736949906.4560109482-2537.45601094823
294955446529.69814509823024.30185490179
304751047839.0129079156-329.012907915567
314487346839.8504206739-1966.85042067385
324534443796.20584429761547.79415570242
334241345479.6647560848-3066.66475608481
343691240583.3879508839-3671.38795088395
354345238462.73148628464989.26851371542
364214245055.7560116669-2913.7560116669
374438240798.88943583583583.11056416423
384363645449.1146913578-1813.11469135783
394416742421.10397779011745.89602220988
404442347472.6765575195-3049.67655751946
414286844438.4654766729-1570.46547667287
424390841327.71769404112580.2823059589
434201342597.950137342-584.950137342043
443884641236.3386443366-2390.33864433663
453508738886.4880158068-3799.4880158068
463302633275.414974234-249.414974234031
473464635313.9510155476-667.951015547573
483713535933.71261911151201.28738088851
493798536127.07413825221857.9258617478
504312138535.5034483444585.49655165605
514372241506.49805190652215.50194809349
524363046286.728487585-2656.72848758502
534223443798.3310405884-1564.33104058842
543935141276.9729923135-1925.97299231351
553932738229.66706214711097.33293785288
563570438059.5322026113-2355.53220261131
573046635541.2857365836-5075.28573658355
582815529333.5409760028-1178.54097600283
592925730514.8043525852-1257.80435258523
602999830890.7710237347-892.771023734749
613252929377.16900048723151.83099951279
623478733281.25761919681505.74238080323
633385533272.3797522023582.62024779775
643455635963.8675531898-1407.86755318978
653134834702.3125432327-3354.3125432327
663080530591.9776557521213.02234424794
672835329808.1126487223-1455.11264872232
682451426958.8196647792-2444.8196647792
692110623981.1104886117-2875.11048861168
702134620212.29259753611133.70740246391
712333523369.2562151878-34.2562151877719
722437924847.955577549-468.955577549048
732629024267.70819712762022.29180287235
743008426969.56563033073114.4343696693
752942928213.08740902081215.91259097921
763063231168.6331897809-536.633189780856
772734930381.7914990917-3032.79149909172
782726427049.7483996167214.251600383279
792747426032.1895179921441.81048200796
802448225532.8693376932-1050.86933769324
812145323692.3921345374-2239.39213453744
821878821033.9757614542-2245.97576145418
831928221122.5028951048-1840.50289510477
841971320987.9680911197-1274.96809111973
852191720065.71874338381851.28125661619
862381222774.3242495591037.67575044097
872378521966.16998558441818.83001441562
882469625193.1580245817-497.158024581724
892456224088.961673285473.038326715036
902358024226.3303512646-646.330351264558
912493922642.0454468112296.95455318899
922389922526.74311703711372.25688296295
932145422601.1388310749-1147.13883107493
941976120880.3407188114-1119.34071881143
951981521994.0165500426-2179.01655004265
962078021648.1913106273-868.191310627306
972346221515.4195288921946.58047110803
982500524191.4176272452813.582372754849
992472523300.63457203681424.36542796319
1002619825862.7495109902335.250489009817
1012754325610.35201917721932.64798082282
1022647126844.4007724239-373.40077242392
1032655825908.8341541536649.165845846434
1042531724247.50090317241069.49909682764
1052289623707.2000064611-811.200006461102
1062224822278.9772761778-30.9772761777567
1072340624178.7313469072-772.731346907207
1082507325225.7576016279-152.757601627884
1092769126103.85120162171587.14879837835
1103059928311.55663622262287.44336377743
1113194828773.17697471833174.82302528166
1123294632686.147524477259.85247552301
1133401232593.75801723131418.2419827687
1143293633061.269863651-125.269863650959
1153297432482.817476111491.182523889034
1163095130744.885142676206.11485732405
1172981229198.0372468256613.96275317443
1182901029104.2173770665-94.2173770665431
1193106830845.2467178788222.753282121241
1203244732834.9134170942-387.913417094212
1213484433755.79401685481088.20598314525
1223567635633.320643297642.6793567023851
1233538734290.95135748941096.04864251056
1243648836007.4728938153480.527106184723
1253565236267.7189806085-615.718980608523
1263348834770.2888582061-1282.28885820611
1273291433284.3911983022-370.391198302248
1282978130766.0145951278-985.01459512784
1292795128253.0551030731-302.055103073071

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 33508 & 35364.6626602564 & -1856.66266025641 \tabularnewline
14 & 36080 & 36276.0354231599 & -196.035423159919 \tabularnewline
15 & 34560 & 34389.3418181102 & 170.658181889841 \tabularnewline
16 & 38737 & 38296.4051215425 & 440.594878457545 \tabularnewline
17 & 38144 & 37441.7929812939 & 702.207018706089 \tabularnewline
18 & 37594 & 36733.5189901093 & 860.48100989069 \tabularnewline
19 & 36424 & 36951.8290409387 & -527.829040938726 \tabularnewline
20 & 36843 & 34780.1171753602 & 2062.8828246398 \tabularnewline
21 & 37246 & 37188.3697153718 & 57.6302846281615 \tabularnewline
22 & 38661 & 34382.7694307578 & 4278.23056924218 \tabularnewline
23 & 40454 & 39570.7791198969 & 883.220880103108 \tabularnewline
24 & 44928 & 42404.7956142132 & 2523.2043857868 \tabularnewline
25 & 48441 & 42312.3928809279 & 6128.6071190721 \tabularnewline
26 & 48140 & 50318.9931046143 & -2178.99310461434 \tabularnewline
27 & 45998 & 46779.9990947625 & -781.999094762476 \tabularnewline
28 & 47369 & 49906.4560109482 & -2537.45601094823 \tabularnewline
29 & 49554 & 46529.6981450982 & 3024.30185490179 \tabularnewline
30 & 47510 & 47839.0129079156 & -329.012907915567 \tabularnewline
31 & 44873 & 46839.8504206739 & -1966.85042067385 \tabularnewline
32 & 45344 & 43796.2058442976 & 1547.79415570242 \tabularnewline
33 & 42413 & 45479.6647560848 & -3066.66475608481 \tabularnewline
34 & 36912 & 40583.3879508839 & -3671.38795088395 \tabularnewline
35 & 43452 & 38462.7314862846 & 4989.26851371542 \tabularnewline
36 & 42142 & 45055.7560116669 & -2913.7560116669 \tabularnewline
37 & 44382 & 40798.8894358358 & 3583.11056416423 \tabularnewline
38 & 43636 & 45449.1146913578 & -1813.11469135783 \tabularnewline
39 & 44167 & 42421.1039777901 & 1745.89602220988 \tabularnewline
40 & 44423 & 47472.6765575195 & -3049.67655751946 \tabularnewline
41 & 42868 & 44438.4654766729 & -1570.46547667287 \tabularnewline
42 & 43908 & 41327.7176940411 & 2580.2823059589 \tabularnewline
43 & 42013 & 42597.950137342 & -584.950137342043 \tabularnewline
44 & 38846 & 41236.3386443366 & -2390.33864433663 \tabularnewline
45 & 35087 & 38886.4880158068 & -3799.4880158068 \tabularnewline
46 & 33026 & 33275.414974234 & -249.414974234031 \tabularnewline
47 & 34646 & 35313.9510155476 & -667.951015547573 \tabularnewline
48 & 37135 & 35933.7126191115 & 1201.28738088851 \tabularnewline
49 & 37985 & 36127.0741382522 & 1857.9258617478 \tabularnewline
50 & 43121 & 38535.503448344 & 4585.49655165605 \tabularnewline
51 & 43722 & 41506.4980519065 & 2215.50194809349 \tabularnewline
52 & 43630 & 46286.728487585 & -2656.72848758502 \tabularnewline
53 & 42234 & 43798.3310405884 & -1564.33104058842 \tabularnewline
54 & 39351 & 41276.9729923135 & -1925.97299231351 \tabularnewline
55 & 39327 & 38229.6670621471 & 1097.33293785288 \tabularnewline
56 & 35704 & 38059.5322026113 & -2355.53220261131 \tabularnewline
57 & 30466 & 35541.2857365836 & -5075.28573658355 \tabularnewline
58 & 28155 & 29333.5409760028 & -1178.54097600283 \tabularnewline
59 & 29257 & 30514.8043525852 & -1257.80435258523 \tabularnewline
60 & 29998 & 30890.7710237347 & -892.771023734749 \tabularnewline
61 & 32529 & 29377.1690004872 & 3151.83099951279 \tabularnewline
62 & 34787 & 33281.2576191968 & 1505.74238080323 \tabularnewline
63 & 33855 & 33272.3797522023 & 582.62024779775 \tabularnewline
64 & 34556 & 35963.8675531898 & -1407.86755318978 \tabularnewline
65 & 31348 & 34702.3125432327 & -3354.3125432327 \tabularnewline
66 & 30805 & 30591.9776557521 & 213.02234424794 \tabularnewline
67 & 28353 & 29808.1126487223 & -1455.11264872232 \tabularnewline
68 & 24514 & 26958.8196647792 & -2444.8196647792 \tabularnewline
69 & 21106 & 23981.1104886117 & -2875.11048861168 \tabularnewline
70 & 21346 & 20212.2925975361 & 1133.70740246391 \tabularnewline
71 & 23335 & 23369.2562151878 & -34.2562151877719 \tabularnewline
72 & 24379 & 24847.955577549 & -468.955577549048 \tabularnewline
73 & 26290 & 24267.7081971276 & 2022.29180287235 \tabularnewline
74 & 30084 & 26969.5656303307 & 3114.4343696693 \tabularnewline
75 & 29429 & 28213.0874090208 & 1215.91259097921 \tabularnewline
76 & 30632 & 31168.6331897809 & -536.633189780856 \tabularnewline
77 & 27349 & 30381.7914990917 & -3032.79149909172 \tabularnewline
78 & 27264 & 27049.7483996167 & 214.251600383279 \tabularnewline
79 & 27474 & 26032.189517992 & 1441.81048200796 \tabularnewline
80 & 24482 & 25532.8693376932 & -1050.86933769324 \tabularnewline
81 & 21453 & 23692.3921345374 & -2239.39213453744 \tabularnewline
82 & 18788 & 21033.9757614542 & -2245.97576145418 \tabularnewline
83 & 19282 & 21122.5028951048 & -1840.50289510477 \tabularnewline
84 & 19713 & 20987.9680911197 & -1274.96809111973 \tabularnewline
85 & 21917 & 20065.7187433838 & 1851.28125661619 \tabularnewline
86 & 23812 & 22774.324249559 & 1037.67575044097 \tabularnewline
87 & 23785 & 21966.1699855844 & 1818.83001441562 \tabularnewline
88 & 24696 & 25193.1580245817 & -497.158024581724 \tabularnewline
89 & 24562 & 24088.961673285 & 473.038326715036 \tabularnewline
90 & 23580 & 24226.3303512646 & -646.330351264558 \tabularnewline
91 & 24939 & 22642.045446811 & 2296.95455318899 \tabularnewline
92 & 23899 & 22526.7431170371 & 1372.25688296295 \tabularnewline
93 & 21454 & 22601.1388310749 & -1147.13883107493 \tabularnewline
94 & 19761 & 20880.3407188114 & -1119.34071881143 \tabularnewline
95 & 19815 & 21994.0165500426 & -2179.01655004265 \tabularnewline
96 & 20780 & 21648.1913106273 & -868.191310627306 \tabularnewline
97 & 23462 & 21515.419528892 & 1946.58047110803 \tabularnewline
98 & 25005 & 24191.4176272452 & 813.582372754849 \tabularnewline
99 & 24725 & 23300.6345720368 & 1424.36542796319 \tabularnewline
100 & 26198 & 25862.7495109902 & 335.250489009817 \tabularnewline
101 & 27543 & 25610.3520191772 & 1932.64798082282 \tabularnewline
102 & 26471 & 26844.4007724239 & -373.40077242392 \tabularnewline
103 & 26558 & 25908.8341541536 & 649.165845846434 \tabularnewline
104 & 25317 & 24247.5009031724 & 1069.49909682764 \tabularnewline
105 & 22896 & 23707.2000064611 & -811.200006461102 \tabularnewline
106 & 22248 & 22278.9772761778 & -30.9772761777567 \tabularnewline
107 & 23406 & 24178.7313469072 & -772.731346907207 \tabularnewline
108 & 25073 & 25225.7576016279 & -152.757601627884 \tabularnewline
109 & 27691 & 26103.8512016217 & 1587.14879837835 \tabularnewline
110 & 30599 & 28311.5566362226 & 2287.44336377743 \tabularnewline
111 & 31948 & 28773.1769747183 & 3174.82302528166 \tabularnewline
112 & 32946 & 32686.147524477 & 259.85247552301 \tabularnewline
113 & 34012 & 32593.7580172313 & 1418.2419827687 \tabularnewline
114 & 32936 & 33061.269863651 & -125.269863650959 \tabularnewline
115 & 32974 & 32482.817476111 & 491.182523889034 \tabularnewline
116 & 30951 & 30744.885142676 & 206.11485732405 \tabularnewline
117 & 29812 & 29198.0372468256 & 613.96275317443 \tabularnewline
118 & 29010 & 29104.2173770665 & -94.2173770665431 \tabularnewline
119 & 31068 & 30845.2467178788 & 222.753282121241 \tabularnewline
120 & 32447 & 32834.9134170942 & -387.913417094212 \tabularnewline
121 & 34844 & 33755.7940168548 & 1088.20598314525 \tabularnewline
122 & 35676 & 35633.3206432976 & 42.6793567023851 \tabularnewline
123 & 35387 & 34290.9513574894 & 1096.04864251056 \tabularnewline
124 & 36488 & 36007.4728938153 & 480.527106184723 \tabularnewline
125 & 35652 & 36267.7189806085 & -615.718980608523 \tabularnewline
126 & 33488 & 34770.2888582061 & -1282.28885820611 \tabularnewline
127 & 32914 & 33284.3911983022 & -370.391198302248 \tabularnewline
128 & 29781 & 30766.0145951278 & -985.01459512784 \tabularnewline
129 & 27951 & 28253.0551030731 & -302.055103073071 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108377&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]13[/C][C]33508[/C][C]35364.6626602564[/C][C]-1856.66266025641[/C][/ROW]
[ROW][C]14[/C][C]36080[/C][C]36276.0354231599[/C][C]-196.035423159919[/C][/ROW]
[ROW][C]15[/C][C]34560[/C][C]34389.3418181102[/C][C]170.658181889841[/C][/ROW]
[ROW][C]16[/C][C]38737[/C][C]38296.4051215425[/C][C]440.594878457545[/C][/ROW]
[ROW][C]17[/C][C]38144[/C][C]37441.7929812939[/C][C]702.207018706089[/C][/ROW]
[ROW][C]18[/C][C]37594[/C][C]36733.5189901093[/C][C]860.48100989069[/C][/ROW]
[ROW][C]19[/C][C]36424[/C][C]36951.8290409387[/C][C]-527.829040938726[/C][/ROW]
[ROW][C]20[/C][C]36843[/C][C]34780.1171753602[/C][C]2062.8828246398[/C][/ROW]
[ROW][C]21[/C][C]37246[/C][C]37188.3697153718[/C][C]57.6302846281615[/C][/ROW]
[ROW][C]22[/C][C]38661[/C][C]34382.7694307578[/C][C]4278.23056924218[/C][/ROW]
[ROW][C]23[/C][C]40454[/C][C]39570.7791198969[/C][C]883.220880103108[/C][/ROW]
[ROW][C]24[/C][C]44928[/C][C]42404.7956142132[/C][C]2523.2043857868[/C][/ROW]
[ROW][C]25[/C][C]48441[/C][C]42312.3928809279[/C][C]6128.6071190721[/C][/ROW]
[ROW][C]26[/C][C]48140[/C][C]50318.9931046143[/C][C]-2178.99310461434[/C][/ROW]
[ROW][C]27[/C][C]45998[/C][C]46779.9990947625[/C][C]-781.999094762476[/C][/ROW]
[ROW][C]28[/C][C]47369[/C][C]49906.4560109482[/C][C]-2537.45601094823[/C][/ROW]
[ROW][C]29[/C][C]49554[/C][C]46529.6981450982[/C][C]3024.30185490179[/C][/ROW]
[ROW][C]30[/C][C]47510[/C][C]47839.0129079156[/C][C]-329.012907915567[/C][/ROW]
[ROW][C]31[/C][C]44873[/C][C]46839.8504206739[/C][C]-1966.85042067385[/C][/ROW]
[ROW][C]32[/C][C]45344[/C][C]43796.2058442976[/C][C]1547.79415570242[/C][/ROW]
[ROW][C]33[/C][C]42413[/C][C]45479.6647560848[/C][C]-3066.66475608481[/C][/ROW]
[ROW][C]34[/C][C]36912[/C][C]40583.3879508839[/C][C]-3671.38795088395[/C][/ROW]
[ROW][C]35[/C][C]43452[/C][C]38462.7314862846[/C][C]4989.26851371542[/C][/ROW]
[ROW][C]36[/C][C]42142[/C][C]45055.7560116669[/C][C]-2913.7560116669[/C][/ROW]
[ROW][C]37[/C][C]44382[/C][C]40798.8894358358[/C][C]3583.11056416423[/C][/ROW]
[ROW][C]38[/C][C]43636[/C][C]45449.1146913578[/C][C]-1813.11469135783[/C][/ROW]
[ROW][C]39[/C][C]44167[/C][C]42421.1039777901[/C][C]1745.89602220988[/C][/ROW]
[ROW][C]40[/C][C]44423[/C][C]47472.6765575195[/C][C]-3049.67655751946[/C][/ROW]
[ROW][C]41[/C][C]42868[/C][C]44438.4654766729[/C][C]-1570.46547667287[/C][/ROW]
[ROW][C]42[/C][C]43908[/C][C]41327.7176940411[/C][C]2580.2823059589[/C][/ROW]
[ROW][C]43[/C][C]42013[/C][C]42597.950137342[/C][C]-584.950137342043[/C][/ROW]
[ROW][C]44[/C][C]38846[/C][C]41236.3386443366[/C][C]-2390.33864433663[/C][/ROW]
[ROW][C]45[/C][C]35087[/C][C]38886.4880158068[/C][C]-3799.4880158068[/C][/ROW]
[ROW][C]46[/C][C]33026[/C][C]33275.414974234[/C][C]-249.414974234031[/C][/ROW]
[ROW][C]47[/C][C]34646[/C][C]35313.9510155476[/C][C]-667.951015547573[/C][/ROW]
[ROW][C]48[/C][C]37135[/C][C]35933.7126191115[/C][C]1201.28738088851[/C][/ROW]
[ROW][C]49[/C][C]37985[/C][C]36127.0741382522[/C][C]1857.9258617478[/C][/ROW]
[ROW][C]50[/C][C]43121[/C][C]38535.503448344[/C][C]4585.49655165605[/C][/ROW]
[ROW][C]51[/C][C]43722[/C][C]41506.4980519065[/C][C]2215.50194809349[/C][/ROW]
[ROW][C]52[/C][C]43630[/C][C]46286.728487585[/C][C]-2656.72848758502[/C][/ROW]
[ROW][C]53[/C][C]42234[/C][C]43798.3310405884[/C][C]-1564.33104058842[/C][/ROW]
[ROW][C]54[/C][C]39351[/C][C]41276.9729923135[/C][C]-1925.97299231351[/C][/ROW]
[ROW][C]55[/C][C]39327[/C][C]38229.6670621471[/C][C]1097.33293785288[/C][/ROW]
[ROW][C]56[/C][C]35704[/C][C]38059.5322026113[/C][C]-2355.53220261131[/C][/ROW]
[ROW][C]57[/C][C]30466[/C][C]35541.2857365836[/C][C]-5075.28573658355[/C][/ROW]
[ROW][C]58[/C][C]28155[/C][C]29333.5409760028[/C][C]-1178.54097600283[/C][/ROW]
[ROW][C]59[/C][C]29257[/C][C]30514.8043525852[/C][C]-1257.80435258523[/C][/ROW]
[ROW][C]60[/C][C]29998[/C][C]30890.7710237347[/C][C]-892.771023734749[/C][/ROW]
[ROW][C]61[/C][C]32529[/C][C]29377.1690004872[/C][C]3151.83099951279[/C][/ROW]
[ROW][C]62[/C][C]34787[/C][C]33281.2576191968[/C][C]1505.74238080323[/C][/ROW]
[ROW][C]63[/C][C]33855[/C][C]33272.3797522023[/C][C]582.62024779775[/C][/ROW]
[ROW][C]64[/C][C]34556[/C][C]35963.8675531898[/C][C]-1407.86755318978[/C][/ROW]
[ROW][C]65[/C][C]31348[/C][C]34702.3125432327[/C][C]-3354.3125432327[/C][/ROW]
[ROW][C]66[/C][C]30805[/C][C]30591.9776557521[/C][C]213.02234424794[/C][/ROW]
[ROW][C]67[/C][C]28353[/C][C]29808.1126487223[/C][C]-1455.11264872232[/C][/ROW]
[ROW][C]68[/C][C]24514[/C][C]26958.8196647792[/C][C]-2444.8196647792[/C][/ROW]
[ROW][C]69[/C][C]21106[/C][C]23981.1104886117[/C][C]-2875.11048861168[/C][/ROW]
[ROW][C]70[/C][C]21346[/C][C]20212.2925975361[/C][C]1133.70740246391[/C][/ROW]
[ROW][C]71[/C][C]23335[/C][C]23369.2562151878[/C][C]-34.2562151877719[/C][/ROW]
[ROW][C]72[/C][C]24379[/C][C]24847.955577549[/C][C]-468.955577549048[/C][/ROW]
[ROW][C]73[/C][C]26290[/C][C]24267.7081971276[/C][C]2022.29180287235[/C][/ROW]
[ROW][C]74[/C][C]30084[/C][C]26969.5656303307[/C][C]3114.4343696693[/C][/ROW]
[ROW][C]75[/C][C]29429[/C][C]28213.0874090208[/C][C]1215.91259097921[/C][/ROW]
[ROW][C]76[/C][C]30632[/C][C]31168.6331897809[/C][C]-536.633189780856[/C][/ROW]
[ROW][C]77[/C][C]27349[/C][C]30381.7914990917[/C][C]-3032.79149909172[/C][/ROW]
[ROW][C]78[/C][C]27264[/C][C]27049.7483996167[/C][C]214.251600383279[/C][/ROW]
[ROW][C]79[/C][C]27474[/C][C]26032.189517992[/C][C]1441.81048200796[/C][/ROW]
[ROW][C]80[/C][C]24482[/C][C]25532.8693376932[/C][C]-1050.86933769324[/C][/ROW]
[ROW][C]81[/C][C]21453[/C][C]23692.3921345374[/C][C]-2239.39213453744[/C][/ROW]
[ROW][C]82[/C][C]18788[/C][C]21033.9757614542[/C][C]-2245.97576145418[/C][/ROW]
[ROW][C]83[/C][C]19282[/C][C]21122.5028951048[/C][C]-1840.50289510477[/C][/ROW]
[ROW][C]84[/C][C]19713[/C][C]20987.9680911197[/C][C]-1274.96809111973[/C][/ROW]
[ROW][C]85[/C][C]21917[/C][C]20065.7187433838[/C][C]1851.28125661619[/C][/ROW]
[ROW][C]86[/C][C]23812[/C][C]22774.324249559[/C][C]1037.67575044097[/C][/ROW]
[ROW][C]87[/C][C]23785[/C][C]21966.1699855844[/C][C]1818.83001441562[/C][/ROW]
[ROW][C]88[/C][C]24696[/C][C]25193.1580245817[/C][C]-497.158024581724[/C][/ROW]
[ROW][C]89[/C][C]24562[/C][C]24088.961673285[/C][C]473.038326715036[/C][/ROW]
[ROW][C]90[/C][C]23580[/C][C]24226.3303512646[/C][C]-646.330351264558[/C][/ROW]
[ROW][C]91[/C][C]24939[/C][C]22642.045446811[/C][C]2296.95455318899[/C][/ROW]
[ROW][C]92[/C][C]23899[/C][C]22526.7431170371[/C][C]1372.25688296295[/C][/ROW]
[ROW][C]93[/C][C]21454[/C][C]22601.1388310749[/C][C]-1147.13883107493[/C][/ROW]
[ROW][C]94[/C][C]19761[/C][C]20880.3407188114[/C][C]-1119.34071881143[/C][/ROW]
[ROW][C]95[/C][C]19815[/C][C]21994.0165500426[/C][C]-2179.01655004265[/C][/ROW]
[ROW][C]96[/C][C]20780[/C][C]21648.1913106273[/C][C]-868.191310627306[/C][/ROW]
[ROW][C]97[/C][C]23462[/C][C]21515.419528892[/C][C]1946.58047110803[/C][/ROW]
[ROW][C]98[/C][C]25005[/C][C]24191.4176272452[/C][C]813.582372754849[/C][/ROW]
[ROW][C]99[/C][C]24725[/C][C]23300.6345720368[/C][C]1424.36542796319[/C][/ROW]
[ROW][C]100[/C][C]26198[/C][C]25862.7495109902[/C][C]335.250489009817[/C][/ROW]
[ROW][C]101[/C][C]27543[/C][C]25610.3520191772[/C][C]1932.64798082282[/C][/ROW]
[ROW][C]102[/C][C]26471[/C][C]26844.4007724239[/C][C]-373.40077242392[/C][/ROW]
[ROW][C]103[/C][C]26558[/C][C]25908.8341541536[/C][C]649.165845846434[/C][/ROW]
[ROW][C]104[/C][C]25317[/C][C]24247.5009031724[/C][C]1069.49909682764[/C][/ROW]
[ROW][C]105[/C][C]22896[/C][C]23707.2000064611[/C][C]-811.200006461102[/C][/ROW]
[ROW][C]106[/C][C]22248[/C][C]22278.9772761778[/C][C]-30.9772761777567[/C][/ROW]
[ROW][C]107[/C][C]23406[/C][C]24178.7313469072[/C][C]-772.731346907207[/C][/ROW]
[ROW][C]108[/C][C]25073[/C][C]25225.7576016279[/C][C]-152.757601627884[/C][/ROW]
[ROW][C]109[/C][C]27691[/C][C]26103.8512016217[/C][C]1587.14879837835[/C][/ROW]
[ROW][C]110[/C][C]30599[/C][C]28311.5566362226[/C][C]2287.44336377743[/C][/ROW]
[ROW][C]111[/C][C]31948[/C][C]28773.1769747183[/C][C]3174.82302528166[/C][/ROW]
[ROW][C]112[/C][C]32946[/C][C]32686.147524477[/C][C]259.85247552301[/C][/ROW]
[ROW][C]113[/C][C]34012[/C][C]32593.7580172313[/C][C]1418.2419827687[/C][/ROW]
[ROW][C]114[/C][C]32936[/C][C]33061.269863651[/C][C]-125.269863650959[/C][/ROW]
[ROW][C]115[/C][C]32974[/C][C]32482.817476111[/C][C]491.182523889034[/C][/ROW]
[ROW][C]116[/C][C]30951[/C][C]30744.885142676[/C][C]206.11485732405[/C][/ROW]
[ROW][C]117[/C][C]29812[/C][C]29198.0372468256[/C][C]613.96275317443[/C][/ROW]
[ROW][C]118[/C][C]29010[/C][C]29104.2173770665[/C][C]-94.2173770665431[/C][/ROW]
[ROW][C]119[/C][C]31068[/C][C]30845.2467178788[/C][C]222.753282121241[/C][/ROW]
[ROW][C]120[/C][C]32447[/C][C]32834.9134170942[/C][C]-387.913417094212[/C][/ROW]
[ROW][C]121[/C][C]34844[/C][C]33755.7940168548[/C][C]1088.20598314525[/C][/ROW]
[ROW][C]122[/C][C]35676[/C][C]35633.3206432976[/C][C]42.6793567023851[/C][/ROW]
[ROW][C]123[/C][C]35387[/C][C]34290.9513574894[/C][C]1096.04864251056[/C][/ROW]
[ROW][C]124[/C][C]36488[/C][C]36007.4728938153[/C][C]480.527106184723[/C][/ROW]
[ROW][C]125[/C][C]35652[/C][C]36267.7189806085[/C][C]-615.718980608523[/C][/ROW]
[ROW][C]126[/C][C]33488[/C][C]34770.2888582061[/C][C]-1282.28885820611[/C][/ROW]
[ROW][C]127[/C][C]32914[/C][C]33284.3911983022[/C][C]-370.391198302248[/C][/ROW]
[ROW][C]128[/C][C]29781[/C][C]30766.0145951278[/C][C]-985.01459512784[/C][/ROW]
[ROW][C]129[/C][C]27951[/C][C]28253.0551030731[/C][C]-302.055103073071[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108377&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108377&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
133350835364.6626602564-1856.66266025641
143608036276.0354231599-196.035423159919
153456034389.3418181102170.658181889841
163873738296.4051215425440.594878457545
173814437441.7929812939702.207018706089
183759436733.5189901093860.48100989069
193642436951.8290409387-527.829040938726
203684334780.11717536022062.8828246398
213724637188.369715371857.6302846281615
223866134382.76943075784278.23056924218
234045439570.7791198969883.220880103108
244492842404.79561421322523.2043857868
254844142312.39288092796128.6071190721
264814050318.9931046143-2178.99310461434
274599846779.9990947625-781.999094762476
284736949906.4560109482-2537.45601094823
294955446529.69814509823024.30185490179
304751047839.0129079156-329.012907915567
314487346839.8504206739-1966.85042067385
324534443796.20584429761547.79415570242
334241345479.6647560848-3066.66475608481
343691240583.3879508839-3671.38795088395
354345238462.73148628464989.26851371542
364214245055.7560116669-2913.7560116669
374438240798.88943583583583.11056416423
384363645449.1146913578-1813.11469135783
394416742421.10397779011745.89602220988
404442347472.6765575195-3049.67655751946
414286844438.4654766729-1570.46547667287
424390841327.71769404112580.2823059589
434201342597.950137342-584.950137342043
443884641236.3386443366-2390.33864433663
453508738886.4880158068-3799.4880158068
463302633275.414974234-249.414974234031
473464635313.9510155476-667.951015547573
483713535933.71261911151201.28738088851
493798536127.07413825221857.9258617478
504312138535.5034483444585.49655165605
514372241506.49805190652215.50194809349
524363046286.728487585-2656.72848758502
534223443798.3310405884-1564.33104058842
543935141276.9729923135-1925.97299231351
553932738229.66706214711097.33293785288
563570438059.5322026113-2355.53220261131
573046635541.2857365836-5075.28573658355
582815529333.5409760028-1178.54097600283
592925730514.8043525852-1257.80435258523
602999830890.7710237347-892.771023734749
613252929377.16900048723151.83099951279
623478733281.25761919681505.74238080323
633385533272.3797522023582.62024779775
643455635963.8675531898-1407.86755318978
653134834702.3125432327-3354.3125432327
663080530591.9776557521213.02234424794
672835329808.1126487223-1455.11264872232
682451426958.8196647792-2444.8196647792
692110623981.1104886117-2875.11048861168
702134620212.29259753611133.70740246391
712333523369.2562151878-34.2562151877719
722437924847.955577549-468.955577549048
732629024267.70819712762022.29180287235
743008426969.56563033073114.4343696693
752942928213.08740902081215.91259097921
763063231168.6331897809-536.633189780856
772734930381.7914990917-3032.79149909172
782726427049.7483996167214.251600383279
792747426032.1895179921441.81048200796
802448225532.8693376932-1050.86933769324
812145323692.3921345374-2239.39213453744
821878821033.9757614542-2245.97576145418
831928221122.5028951048-1840.50289510477
841971320987.9680911197-1274.96809111973
852191720065.71874338381851.28125661619
862381222774.3242495591037.67575044097
872378521966.16998558441818.83001441562
882469625193.1580245817-497.158024581724
892456224088.961673285473.038326715036
902358024226.3303512646-646.330351264558
912493922642.0454468112296.95455318899
922389922526.74311703711372.25688296295
932145422601.1388310749-1147.13883107493
941976120880.3407188114-1119.34071881143
951981521994.0165500426-2179.01655004265
962078021648.1913106273-868.191310627306
972346221515.4195288921946.58047110803
982500524191.4176272452813.582372754849
992472523300.63457203681424.36542796319
1002619825862.7495109902335.250489009817
1012754325610.35201917721932.64798082282
1022647126844.4007724239-373.40077242392
1032655825908.8341541536649.165845846434
1042531724247.50090317241069.49909682764
1052289623707.2000064611-811.200006461102
1062224822278.9772761778-30.9772761777567
1072340624178.7313469072-772.731346907207
1082507325225.7576016279-152.757601627884
1092769126103.85120162171587.14879837835
1103059928311.55663622262287.44336377743
1113194828773.17697471833174.82302528166
1123294632686.147524477259.85247552301
1133401232593.75801723131418.2419827687
1143293633061.269863651-125.269863650959
1153297432482.817476111491.182523889034
1163095130744.885142676206.11485732405
1172981229198.0372468256613.96275317443
1182901029104.2173770665-94.2173770665431
1193106830845.2467178788222.753282121241
1203244732834.9134170942-387.913417094212
1213484433755.79401685481088.20598314525
1223567635633.320643297642.6793567023851
1233538734290.95135748941096.04864251056
1243648836007.4728938153480.527106184723
1253565236267.7189806085-615.718980608523
1263348834770.2888582061-1282.28885820611
1273291433284.3911983022-370.391198302248
1282978130766.0145951278-985.01459512784
1292795128253.0551030731-302.055103073071







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13027272.465570984423431.318867587431113.6122743814
13129139.059490915924074.639572579534203.4794092523
13230851.383363250824806.361426031236896.4053004705
13332313.316370938125425.919813915139200.7129279611
13433108.643113922725471.223887121340746.0623407242
13531877.8371291623557.734151543640197.9401067764
13632565.932731587923615.063797771241516.8016654047
13732259.003977496222718.983234196441799.024720796
13831196.84131756821101.994270939941291.688364196
13930941.108804734820320.380110005841561.8374994638
14028654.506131266917532.733830088239776.2784324456
14127084.054195804215482.857695809538685.2506957989

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
130 & 27272.4655709844 & 23431.3188675874 & 31113.6122743814 \tabularnewline
131 & 29139.0594909159 & 24074.6395725795 & 34203.4794092523 \tabularnewline
132 & 30851.3833632508 & 24806.3614260312 & 36896.4053004705 \tabularnewline
133 & 32313.3163709381 & 25425.9198139151 & 39200.7129279611 \tabularnewline
134 & 33108.6431139227 & 25471.2238871213 & 40746.0623407242 \tabularnewline
135 & 31877.83712916 & 23557.7341515436 & 40197.9401067764 \tabularnewline
136 & 32565.9327315879 & 23615.0637977712 & 41516.8016654047 \tabularnewline
137 & 32259.0039774962 & 22718.9832341964 & 41799.024720796 \tabularnewline
138 & 31196.841317568 & 21101.9942709399 & 41291.688364196 \tabularnewline
139 & 30941.1088047348 & 20320.3801100058 & 41561.8374994638 \tabularnewline
140 & 28654.5061312669 & 17532.7338300882 & 39776.2784324456 \tabularnewline
141 & 27084.0541958042 & 15482.8576958095 & 38685.2506957989 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108377&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]130[/C][C]27272.4655709844[/C][C]23431.3188675874[/C][C]31113.6122743814[/C][/ROW]
[ROW][C]131[/C][C]29139.0594909159[/C][C]24074.6395725795[/C][C]34203.4794092523[/C][/ROW]
[ROW][C]132[/C][C]30851.3833632508[/C][C]24806.3614260312[/C][C]36896.4053004705[/C][/ROW]
[ROW][C]133[/C][C]32313.3163709381[/C][C]25425.9198139151[/C][C]39200.7129279611[/C][/ROW]
[ROW][C]134[/C][C]33108.6431139227[/C][C]25471.2238871213[/C][C]40746.0623407242[/C][/ROW]
[ROW][C]135[/C][C]31877.83712916[/C][C]23557.7341515436[/C][C]40197.9401067764[/C][/ROW]
[ROW][C]136[/C][C]32565.9327315879[/C][C]23615.0637977712[/C][C]41516.8016654047[/C][/ROW]
[ROW][C]137[/C][C]32259.0039774962[/C][C]22718.9832341964[/C][C]41799.024720796[/C][/ROW]
[ROW][C]138[/C][C]31196.841317568[/C][C]21101.9942709399[/C][C]41291.688364196[/C][/ROW]
[ROW][C]139[/C][C]30941.1088047348[/C][C]20320.3801100058[/C][C]41561.8374994638[/C][/ROW]
[ROW][C]140[/C][C]28654.5061312669[/C][C]17532.7338300882[/C][C]39776.2784324456[/C][/ROW]
[ROW][C]141[/C][C]27084.0541958042[/C][C]15482.8576958095[/C][C]38685.2506957989[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108377&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108377&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
13027272.465570984423431.318867587431113.6122743814
13129139.059490915924074.639572579534203.4794092523
13230851.383363250824806.361426031236896.4053004705
13332313.316370938125425.919813915139200.7129279611
13433108.643113922725471.223887121340746.0623407242
13531877.8371291623557.734151543640197.9401067764
13632565.932731587923615.063797771241516.8016654047
13732259.003977496222718.983234196441799.024720796
13831196.84131756821101.994270939941291.688364196
13930941.108804734820320.380110005841561.8374994638
14028654.506131266917532.733830088239776.2784324456
14127084.054195804215482.857695809538685.2506957989



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')