Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 27 Nov 2012 15:57:52 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/27/t1354049993iz5qakxe3530dc5.htm/, Retrieved Sat, 04 May 2024 17:11:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=194037, Retrieved Sat, 04 May 2024 17:11:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Workshop 8 - Doub...] [2012-11-27 20:57:52] [729cfeb7382ca95684eaaf6b24800101] [Current]
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Dataseries X:
178421
139871
118159
109763
97415
119190
97903
96953
87888
84637
90549
95680
99371
79984
86752
85733
84906
78356
108895
101768
73285
65724
67457
67203
69273
80807
75129
74991
68157
73858
71349
85634
91624
116014
120033
108651
105378
138939
132974
135277
152741
158417
157460
193997
154089
147570
162924
153629
155907
197675
250708
266652
209842
165826
137152
150581
145973
126532
115437
119526
110856
97243
103876
116370
109616
98365
90440
88899
92358
88394
98219
113546
107168
77540
74944
75641
75910
87384
84615
80420
80784
79933
82118
91420
112426
114528
131025
116460
111258
155318
155078
134794
139985
198778
172436
169585
203702
282392
220658
194472
269246
215340
218319
195724
174614
172085
152347
189615
173804
145683
133550
121156
112040
120767
127019
136295
113425
107815
100298
97048
98750
98235
101254
139589
134921
80355
80396
82183
79709
90781




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194037&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194037&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.945564968612526
beta0.13497582304194
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.945564968612526 \tabularnewline
beta & 0.13497582304194 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194037&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]0.945564968612526[/C][/ROW]
[ROW][C]beta[/C][C]0.13497582304194[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194037&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
alpha0.945564968612526
beta0.13497582304194
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
311815910132116838
410976380841.430107025228921.5698929748
59741575478.874577247121936.1254227529
611919066310.800272831752879.1997271683
79790393150.3012286514752.69877134904
89695375089.648205567221863.3517944328
98788875998.614095324411889.3859046756
108463768993.970659031815643.0293409682
119054967535.135921224123013.8640787759
129568075983.127178444619696.8728215554
139937183808.568259429715562.4317405703
147998489710.8351063283-9726.83510632828
158675270459.036643138216292.9633568618
168573377890.09310253727842.90689746282
178490678332.04992727576573.95007272433
187835678413.1484262595-57.1484262594895
1910889572216.818718414636678.1812815854
20101768105437.307846928-3669.30784692836
2173285100038.316758188-26753.3167581881
226572469397.4122310085-3673.41223100848
236745760111.22514178127345.77485821882
246720362181.92491119165021.07508880836
256927362695.30184556916577.69815443088
268080765520.068176241615286.9318237584
277512978531.0275686722-3402.02756867219
287499173436.16629084731554.83370915274
296815773226.7803455296-5069.78034552955
307385866106.34341559497751.65658440511
317134972098.7396976701-749.739697670127
328563469956.825385686115677.1746143139
339162485348.47865692026275.52134307985
3411601492651.192758007323362.8072419927
35120033119092.803752357940.196247642627
36108651124452.375037684-15801.3750376839
37105378111964.998626129-6586.99862612916
38138939107349.72559642831589.2744035719
39132974142864.28783713-9890.28783713045
40135277137894.947399752-2617.94739975204
41152741139467.95285600813273.0471439919
42158417157760.943970466656.056029533996
43157460164207.481665637-6747.48166563737
44193997162792.32311678531204.6768832146
45154089201245.999466321-47156.9994663209
46147570159585.046921474-12015.0469214739
47162924149619.6322984813304.3677015204
48153629165293.384462943-11664.384462943
49155907155868.85242950938.1475704906334
50197675157514.69344471940160.3065552811
51250708202224.23852691648483.7614730837
52266652260992.0563789325659.94362106762
53209842279989.541852195-70147.5418521949
54165826218353.305479884-52527.3054798841
55137152166674.170886324-29522.1708863238
56150581132980.01793627917600.9820637209
57145973146090.252979452-117.252979452431
58126532142431.780848837-15899.7808488372
59115437121820.639501633-6383.63950163346
60119526109392.89428988210133.1057101177
61110856113876.076914771-3020.07691477073
6297243105536.62320946-8293.62320945995
6310387691152.186925183212723.8130748168
6411637098265.022151689418104.9778483106
65109616112776.807812001-3160.80781200125
6698365106777.002646924-8412.0026469236
679044094738.2410808671-4298.2410808671
688889986040.73066647442858.26933352558
699235884474.96216748347883.03783251661
708839488666.538320099-272.538320099047
719821985111.703731524513107.2962684755
7211354695881.23539628317664.764603717
73107168113214.67528165-6046.67528165005
7477540107355.680704806-29815.680704806
757494475216.2193432769-272.219343276913
767564170977.2771748474663.72282515303
777591072000.81253626823909.18746373177
788738472809.809072261614574.1909277384
798461585563.340087318-948.340087318036
808042083518.2744129676-3098.27441296761
818078479044.87831877231739.12168122771
827993379367.5158453107565.484154689271
838211878652.57468437963465.42531562036
849142081122.003018846510297.9969811535
8511242691366.388745410121059.6112545899
86114528114474.3846317353.615368269966
87131025117726.68952132413298.3104786757
88116460135199.956347731-18739.9563477305
89111258119987.20957818-8729.20957818034
90155318113126.17912561242191.820874388
91155078159799.166242704-4721.16624270377
92134794161510.321228576-26716.3212285763
93139985139013.866584409971.133415591117
94198778142821.64333542655956.3566645742
95172436205763.141805692-33327.1418056917
96169585180027.801732862-10442.8017328616
97203702174598.29378287829103.7062171219
98282392210277.03812740672114.9618725936
99220658295829.636988005-75171.6369880053
100194472232519.151123223-38047.1511232232
101269246199456.38117168169789.6188283189
102215340277267.421291702-61927.4212917024
103218319222627.74419759-4308.74419758952
104195724221920.351530957-26196.3515309569
105174614197173.405432642-22559.4054326417
106172085172986.207114462-901.207114461839
107152347169163.222778226-16816.222778226
108189615148145.32938207441469.6706179258
109173804187533.243064742-13729.2430647423
110145683172974.75620243-27291.7562024298
111133550142108.828583876-8558.82858387585
112121156127863.751398401-6707.75139840128
113112040114512.888308874-2472.88830887376
114120767104850.75260100615916.247398994
115127019114608.1047683212410.8952316802
116136295122634.90154715513660.0984528453
117113425133586.317774916-20161.3177749162
118107815109984.230700184-2169.23070018354
119100298103117.975410621-2819.97541062113
1209704895276.48974180611771.51025819388
1219875092002.64711264516747.35288735492
1229823594294.94088284713940.05911715291
12310125494435.61948728986818.38051271015
12413958998168.157034560541420.8429654395
125134921139906.047228352-4985.0472283519
12680355137127.919666693-56772.9196666928
1278039678135.15666716712260.84333283288
1288218375251.19976492026931.80023507976
1297970977668.63072093282040.36927906722
1309078175721.305005204515059.6949947955

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 118159 & 101321 & 16838 \tabularnewline
4 & 109763 & 80841.4301070252 & 28921.5698929748 \tabularnewline
5 & 97415 & 75478.8745772471 & 21936.1254227529 \tabularnewline
6 & 119190 & 66310.8002728317 & 52879.1997271683 \tabularnewline
7 & 97903 & 93150.301228651 & 4752.69877134904 \tabularnewline
8 & 96953 & 75089.6482055672 & 21863.3517944328 \tabularnewline
9 & 87888 & 75998.6140953244 & 11889.3859046756 \tabularnewline
10 & 84637 & 68993.9706590318 & 15643.0293409682 \tabularnewline
11 & 90549 & 67535.1359212241 & 23013.8640787759 \tabularnewline
12 & 95680 & 75983.1271784446 & 19696.8728215554 \tabularnewline
13 & 99371 & 83808.5682594297 & 15562.4317405703 \tabularnewline
14 & 79984 & 89710.8351063283 & -9726.83510632828 \tabularnewline
15 & 86752 & 70459.0366431382 & 16292.9633568618 \tabularnewline
16 & 85733 & 77890.0931025372 & 7842.90689746282 \tabularnewline
17 & 84906 & 78332.0499272757 & 6573.95007272433 \tabularnewline
18 & 78356 & 78413.1484262595 & -57.1484262594895 \tabularnewline
19 & 108895 & 72216.8187184146 & 36678.1812815854 \tabularnewline
20 & 101768 & 105437.307846928 & -3669.30784692836 \tabularnewline
21 & 73285 & 100038.316758188 & -26753.3167581881 \tabularnewline
22 & 65724 & 69397.4122310085 & -3673.41223100848 \tabularnewline
23 & 67457 & 60111.2251417812 & 7345.77485821882 \tabularnewline
24 & 67203 & 62181.9249111916 & 5021.07508880836 \tabularnewline
25 & 69273 & 62695.3018455691 & 6577.69815443088 \tabularnewline
26 & 80807 & 65520.0681762416 & 15286.9318237584 \tabularnewline
27 & 75129 & 78531.0275686722 & -3402.02756867219 \tabularnewline
28 & 74991 & 73436.1662908473 & 1554.83370915274 \tabularnewline
29 & 68157 & 73226.7803455296 & -5069.78034552955 \tabularnewline
30 & 73858 & 66106.3434155949 & 7751.65658440511 \tabularnewline
31 & 71349 & 72098.7396976701 & -749.739697670127 \tabularnewline
32 & 85634 & 69956.8253856861 & 15677.1746143139 \tabularnewline
33 & 91624 & 85348.4786569202 & 6275.52134307985 \tabularnewline
34 & 116014 & 92651.1927580073 & 23362.8072419927 \tabularnewline
35 & 120033 & 119092.803752357 & 940.196247642627 \tabularnewline
36 & 108651 & 124452.375037684 & -15801.3750376839 \tabularnewline
37 & 105378 & 111964.998626129 & -6586.99862612916 \tabularnewline
38 & 138939 & 107349.725596428 & 31589.2744035719 \tabularnewline
39 & 132974 & 142864.28783713 & -9890.28783713045 \tabularnewline
40 & 135277 & 137894.947399752 & -2617.94739975204 \tabularnewline
41 & 152741 & 139467.952856008 & 13273.0471439919 \tabularnewline
42 & 158417 & 157760.943970466 & 656.056029533996 \tabularnewline
43 & 157460 & 164207.481665637 & -6747.48166563737 \tabularnewline
44 & 193997 & 162792.323116785 & 31204.6768832146 \tabularnewline
45 & 154089 & 201245.999466321 & -47156.9994663209 \tabularnewline
46 & 147570 & 159585.046921474 & -12015.0469214739 \tabularnewline
47 & 162924 & 149619.63229848 & 13304.3677015204 \tabularnewline
48 & 153629 & 165293.384462943 & -11664.384462943 \tabularnewline
49 & 155907 & 155868.852429509 & 38.1475704906334 \tabularnewline
50 & 197675 & 157514.693444719 & 40160.3065552811 \tabularnewline
51 & 250708 & 202224.238526916 & 48483.7614730837 \tabularnewline
52 & 266652 & 260992.056378932 & 5659.94362106762 \tabularnewline
53 & 209842 & 279989.541852195 & -70147.5418521949 \tabularnewline
54 & 165826 & 218353.305479884 & -52527.3054798841 \tabularnewline
55 & 137152 & 166674.170886324 & -29522.1708863238 \tabularnewline
56 & 150581 & 132980.017936279 & 17600.9820637209 \tabularnewline
57 & 145973 & 146090.252979452 & -117.252979452431 \tabularnewline
58 & 126532 & 142431.780848837 & -15899.7808488372 \tabularnewline
59 & 115437 & 121820.639501633 & -6383.63950163346 \tabularnewline
60 & 119526 & 109392.894289882 & 10133.1057101177 \tabularnewline
61 & 110856 & 113876.076914771 & -3020.07691477073 \tabularnewline
62 & 97243 & 105536.62320946 & -8293.62320945995 \tabularnewline
63 & 103876 & 91152.1869251832 & 12723.8130748168 \tabularnewline
64 & 116370 & 98265.0221516894 & 18104.9778483106 \tabularnewline
65 & 109616 & 112776.807812001 & -3160.80781200125 \tabularnewline
66 & 98365 & 106777.002646924 & -8412.0026469236 \tabularnewline
67 & 90440 & 94738.2410808671 & -4298.2410808671 \tabularnewline
68 & 88899 & 86040.7306664744 & 2858.26933352558 \tabularnewline
69 & 92358 & 84474.9621674834 & 7883.03783251661 \tabularnewline
70 & 88394 & 88666.538320099 & -272.538320099047 \tabularnewline
71 & 98219 & 85111.7037315245 & 13107.2962684755 \tabularnewline
72 & 113546 & 95881.235396283 & 17664.764603717 \tabularnewline
73 & 107168 & 113214.67528165 & -6046.67528165005 \tabularnewline
74 & 77540 & 107355.680704806 & -29815.680704806 \tabularnewline
75 & 74944 & 75216.2193432769 & -272.219343276913 \tabularnewline
76 & 75641 & 70977.277174847 & 4663.72282515303 \tabularnewline
77 & 75910 & 72000.8125362682 & 3909.18746373177 \tabularnewline
78 & 87384 & 72809.8090722616 & 14574.1909277384 \tabularnewline
79 & 84615 & 85563.340087318 & -948.340087318036 \tabularnewline
80 & 80420 & 83518.2744129676 & -3098.27441296761 \tabularnewline
81 & 80784 & 79044.8783187723 & 1739.12168122771 \tabularnewline
82 & 79933 & 79367.5158453107 & 565.484154689271 \tabularnewline
83 & 82118 & 78652.5746843796 & 3465.42531562036 \tabularnewline
84 & 91420 & 81122.0030188465 & 10297.9969811535 \tabularnewline
85 & 112426 & 91366.3887454101 & 21059.6112545899 \tabularnewline
86 & 114528 & 114474.38463173 & 53.615368269966 \tabularnewline
87 & 131025 & 117726.689521324 & 13298.3104786757 \tabularnewline
88 & 116460 & 135199.956347731 & -18739.9563477305 \tabularnewline
89 & 111258 & 119987.20957818 & -8729.20957818034 \tabularnewline
90 & 155318 & 113126.179125612 & 42191.820874388 \tabularnewline
91 & 155078 & 159799.166242704 & -4721.16624270377 \tabularnewline
92 & 134794 & 161510.321228576 & -26716.3212285763 \tabularnewline
93 & 139985 & 139013.866584409 & 971.133415591117 \tabularnewline
94 & 198778 & 142821.643335426 & 55956.3566645742 \tabularnewline
95 & 172436 & 205763.141805692 & -33327.1418056917 \tabularnewline
96 & 169585 & 180027.801732862 & -10442.8017328616 \tabularnewline
97 & 203702 & 174598.293782878 & 29103.7062171219 \tabularnewline
98 & 282392 & 210277.038127406 & 72114.9618725936 \tabularnewline
99 & 220658 & 295829.636988005 & -75171.6369880053 \tabularnewline
100 & 194472 & 232519.151123223 & -38047.1511232232 \tabularnewline
101 & 269246 & 199456.381171681 & 69789.6188283189 \tabularnewline
102 & 215340 & 277267.421291702 & -61927.4212917024 \tabularnewline
103 & 218319 & 222627.74419759 & -4308.74419758952 \tabularnewline
104 & 195724 & 221920.351530957 & -26196.3515309569 \tabularnewline
105 & 174614 & 197173.405432642 & -22559.4054326417 \tabularnewline
106 & 172085 & 172986.207114462 & -901.207114461839 \tabularnewline
107 & 152347 & 169163.222778226 & -16816.222778226 \tabularnewline
108 & 189615 & 148145.329382074 & 41469.6706179258 \tabularnewline
109 & 173804 & 187533.243064742 & -13729.2430647423 \tabularnewline
110 & 145683 & 172974.75620243 & -27291.7562024298 \tabularnewline
111 & 133550 & 142108.828583876 & -8558.82858387585 \tabularnewline
112 & 121156 & 127863.751398401 & -6707.75139840128 \tabularnewline
113 & 112040 & 114512.888308874 & -2472.88830887376 \tabularnewline
114 & 120767 & 104850.752601006 & 15916.247398994 \tabularnewline
115 & 127019 & 114608.10476832 & 12410.8952316802 \tabularnewline
116 & 136295 & 122634.901547155 & 13660.0984528453 \tabularnewline
117 & 113425 & 133586.317774916 & -20161.3177749162 \tabularnewline
118 & 107815 & 109984.230700184 & -2169.23070018354 \tabularnewline
119 & 100298 & 103117.975410621 & -2819.97541062113 \tabularnewline
120 & 97048 & 95276.4897418061 & 1771.51025819388 \tabularnewline
121 & 98750 & 92002.6471126451 & 6747.35288735492 \tabularnewline
122 & 98235 & 94294.9408828471 & 3940.05911715291 \tabularnewline
123 & 101254 & 94435.6194872898 & 6818.38051271015 \tabularnewline
124 & 139589 & 98168.1570345605 & 41420.8429654395 \tabularnewline
125 & 134921 & 139906.047228352 & -4985.0472283519 \tabularnewline
126 & 80355 & 137127.919666693 & -56772.9196666928 \tabularnewline
127 & 80396 & 78135.1566671671 & 2260.84333283288 \tabularnewline
128 & 82183 & 75251.1997649202 & 6931.80023507976 \tabularnewline
129 & 79709 & 77668.6307209328 & 2040.36927906722 \tabularnewline
130 & 90781 & 75721.3050052045 & 15059.6949947955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194037&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]118159[/C][C]101321[/C][C]16838[/C][/ROW]
[ROW][C]4[/C][C]109763[/C][C]80841.4301070252[/C][C]28921.5698929748[/C][/ROW]
[ROW][C]5[/C][C]97415[/C][C]75478.8745772471[/C][C]21936.1254227529[/C][/ROW]
[ROW][C]6[/C][C]119190[/C][C]66310.8002728317[/C][C]52879.1997271683[/C][/ROW]
[ROW][C]7[/C][C]97903[/C][C]93150.301228651[/C][C]4752.69877134904[/C][/ROW]
[ROW][C]8[/C][C]96953[/C][C]75089.6482055672[/C][C]21863.3517944328[/C][/ROW]
[ROW][C]9[/C][C]87888[/C][C]75998.6140953244[/C][C]11889.3859046756[/C][/ROW]
[ROW][C]10[/C][C]84637[/C][C]68993.9706590318[/C][C]15643.0293409682[/C][/ROW]
[ROW][C]11[/C][C]90549[/C][C]67535.1359212241[/C][C]23013.8640787759[/C][/ROW]
[ROW][C]12[/C][C]95680[/C][C]75983.1271784446[/C][C]19696.8728215554[/C][/ROW]
[ROW][C]13[/C][C]99371[/C][C]83808.5682594297[/C][C]15562.4317405703[/C][/ROW]
[ROW][C]14[/C][C]79984[/C][C]89710.8351063283[/C][C]-9726.83510632828[/C][/ROW]
[ROW][C]15[/C][C]86752[/C][C]70459.0366431382[/C][C]16292.9633568618[/C][/ROW]
[ROW][C]16[/C][C]85733[/C][C]77890.0931025372[/C][C]7842.90689746282[/C][/ROW]
[ROW][C]17[/C][C]84906[/C][C]78332.0499272757[/C][C]6573.95007272433[/C][/ROW]
[ROW][C]18[/C][C]78356[/C][C]78413.1484262595[/C][C]-57.1484262594895[/C][/ROW]
[ROW][C]19[/C][C]108895[/C][C]72216.8187184146[/C][C]36678.1812815854[/C][/ROW]
[ROW][C]20[/C][C]101768[/C][C]105437.307846928[/C][C]-3669.30784692836[/C][/ROW]
[ROW][C]21[/C][C]73285[/C][C]100038.316758188[/C][C]-26753.3167581881[/C][/ROW]
[ROW][C]22[/C][C]65724[/C][C]69397.4122310085[/C][C]-3673.41223100848[/C][/ROW]
[ROW][C]23[/C][C]67457[/C][C]60111.2251417812[/C][C]7345.77485821882[/C][/ROW]
[ROW][C]24[/C][C]67203[/C][C]62181.9249111916[/C][C]5021.07508880836[/C][/ROW]
[ROW][C]25[/C][C]69273[/C][C]62695.3018455691[/C][C]6577.69815443088[/C][/ROW]
[ROW][C]26[/C][C]80807[/C][C]65520.0681762416[/C][C]15286.9318237584[/C][/ROW]
[ROW][C]27[/C][C]75129[/C][C]78531.0275686722[/C][C]-3402.02756867219[/C][/ROW]
[ROW][C]28[/C][C]74991[/C][C]73436.1662908473[/C][C]1554.83370915274[/C][/ROW]
[ROW][C]29[/C][C]68157[/C][C]73226.7803455296[/C][C]-5069.78034552955[/C][/ROW]
[ROW][C]30[/C][C]73858[/C][C]66106.3434155949[/C][C]7751.65658440511[/C][/ROW]
[ROW][C]31[/C][C]71349[/C][C]72098.7396976701[/C][C]-749.739697670127[/C][/ROW]
[ROW][C]32[/C][C]85634[/C][C]69956.8253856861[/C][C]15677.1746143139[/C][/ROW]
[ROW][C]33[/C][C]91624[/C][C]85348.4786569202[/C][C]6275.52134307985[/C][/ROW]
[ROW][C]34[/C][C]116014[/C][C]92651.1927580073[/C][C]23362.8072419927[/C][/ROW]
[ROW][C]35[/C][C]120033[/C][C]119092.803752357[/C][C]940.196247642627[/C][/ROW]
[ROW][C]36[/C][C]108651[/C][C]124452.375037684[/C][C]-15801.3750376839[/C][/ROW]
[ROW][C]37[/C][C]105378[/C][C]111964.998626129[/C][C]-6586.99862612916[/C][/ROW]
[ROW][C]38[/C][C]138939[/C][C]107349.725596428[/C][C]31589.2744035719[/C][/ROW]
[ROW][C]39[/C][C]132974[/C][C]142864.28783713[/C][C]-9890.28783713045[/C][/ROW]
[ROW][C]40[/C][C]135277[/C][C]137894.947399752[/C][C]-2617.94739975204[/C][/ROW]
[ROW][C]41[/C][C]152741[/C][C]139467.952856008[/C][C]13273.0471439919[/C][/ROW]
[ROW][C]42[/C][C]158417[/C][C]157760.943970466[/C][C]656.056029533996[/C][/ROW]
[ROW][C]43[/C][C]157460[/C][C]164207.481665637[/C][C]-6747.48166563737[/C][/ROW]
[ROW][C]44[/C][C]193997[/C][C]162792.323116785[/C][C]31204.6768832146[/C][/ROW]
[ROW][C]45[/C][C]154089[/C][C]201245.999466321[/C][C]-47156.9994663209[/C][/ROW]
[ROW][C]46[/C][C]147570[/C][C]159585.046921474[/C][C]-12015.0469214739[/C][/ROW]
[ROW][C]47[/C][C]162924[/C][C]149619.63229848[/C][C]13304.3677015204[/C][/ROW]
[ROW][C]48[/C][C]153629[/C][C]165293.384462943[/C][C]-11664.384462943[/C][/ROW]
[ROW][C]49[/C][C]155907[/C][C]155868.852429509[/C][C]38.1475704906334[/C][/ROW]
[ROW][C]50[/C][C]197675[/C][C]157514.693444719[/C][C]40160.3065552811[/C][/ROW]
[ROW][C]51[/C][C]250708[/C][C]202224.238526916[/C][C]48483.7614730837[/C][/ROW]
[ROW][C]52[/C][C]266652[/C][C]260992.056378932[/C][C]5659.94362106762[/C][/ROW]
[ROW][C]53[/C][C]209842[/C][C]279989.541852195[/C][C]-70147.5418521949[/C][/ROW]
[ROW][C]54[/C][C]165826[/C][C]218353.305479884[/C][C]-52527.3054798841[/C][/ROW]
[ROW][C]55[/C][C]137152[/C][C]166674.170886324[/C][C]-29522.1708863238[/C][/ROW]
[ROW][C]56[/C][C]150581[/C][C]132980.017936279[/C][C]17600.9820637209[/C][/ROW]
[ROW][C]57[/C][C]145973[/C][C]146090.252979452[/C][C]-117.252979452431[/C][/ROW]
[ROW][C]58[/C][C]126532[/C][C]142431.780848837[/C][C]-15899.7808488372[/C][/ROW]
[ROW][C]59[/C][C]115437[/C][C]121820.639501633[/C][C]-6383.63950163346[/C][/ROW]
[ROW][C]60[/C][C]119526[/C][C]109392.894289882[/C][C]10133.1057101177[/C][/ROW]
[ROW][C]61[/C][C]110856[/C][C]113876.076914771[/C][C]-3020.07691477073[/C][/ROW]
[ROW][C]62[/C][C]97243[/C][C]105536.62320946[/C][C]-8293.62320945995[/C][/ROW]
[ROW][C]63[/C][C]103876[/C][C]91152.1869251832[/C][C]12723.8130748168[/C][/ROW]
[ROW][C]64[/C][C]116370[/C][C]98265.0221516894[/C][C]18104.9778483106[/C][/ROW]
[ROW][C]65[/C][C]109616[/C][C]112776.807812001[/C][C]-3160.80781200125[/C][/ROW]
[ROW][C]66[/C][C]98365[/C][C]106777.002646924[/C][C]-8412.0026469236[/C][/ROW]
[ROW][C]67[/C][C]90440[/C][C]94738.2410808671[/C][C]-4298.2410808671[/C][/ROW]
[ROW][C]68[/C][C]88899[/C][C]86040.7306664744[/C][C]2858.26933352558[/C][/ROW]
[ROW][C]69[/C][C]92358[/C][C]84474.9621674834[/C][C]7883.03783251661[/C][/ROW]
[ROW][C]70[/C][C]88394[/C][C]88666.538320099[/C][C]-272.538320099047[/C][/ROW]
[ROW][C]71[/C][C]98219[/C][C]85111.7037315245[/C][C]13107.2962684755[/C][/ROW]
[ROW][C]72[/C][C]113546[/C][C]95881.235396283[/C][C]17664.764603717[/C][/ROW]
[ROW][C]73[/C][C]107168[/C][C]113214.67528165[/C][C]-6046.67528165005[/C][/ROW]
[ROW][C]74[/C][C]77540[/C][C]107355.680704806[/C][C]-29815.680704806[/C][/ROW]
[ROW][C]75[/C][C]74944[/C][C]75216.2193432769[/C][C]-272.219343276913[/C][/ROW]
[ROW][C]76[/C][C]75641[/C][C]70977.277174847[/C][C]4663.72282515303[/C][/ROW]
[ROW][C]77[/C][C]75910[/C][C]72000.8125362682[/C][C]3909.18746373177[/C][/ROW]
[ROW][C]78[/C][C]87384[/C][C]72809.8090722616[/C][C]14574.1909277384[/C][/ROW]
[ROW][C]79[/C][C]84615[/C][C]85563.340087318[/C][C]-948.340087318036[/C][/ROW]
[ROW][C]80[/C][C]80420[/C][C]83518.2744129676[/C][C]-3098.27441296761[/C][/ROW]
[ROW][C]81[/C][C]80784[/C][C]79044.8783187723[/C][C]1739.12168122771[/C][/ROW]
[ROW][C]82[/C][C]79933[/C][C]79367.5158453107[/C][C]565.484154689271[/C][/ROW]
[ROW][C]83[/C][C]82118[/C][C]78652.5746843796[/C][C]3465.42531562036[/C][/ROW]
[ROW][C]84[/C][C]91420[/C][C]81122.0030188465[/C][C]10297.9969811535[/C][/ROW]
[ROW][C]85[/C][C]112426[/C][C]91366.3887454101[/C][C]21059.6112545899[/C][/ROW]
[ROW][C]86[/C][C]114528[/C][C]114474.38463173[/C][C]53.615368269966[/C][/ROW]
[ROW][C]87[/C][C]131025[/C][C]117726.689521324[/C][C]13298.3104786757[/C][/ROW]
[ROW][C]88[/C][C]116460[/C][C]135199.956347731[/C][C]-18739.9563477305[/C][/ROW]
[ROW][C]89[/C][C]111258[/C][C]119987.20957818[/C][C]-8729.20957818034[/C][/ROW]
[ROW][C]90[/C][C]155318[/C][C]113126.179125612[/C][C]42191.820874388[/C][/ROW]
[ROW][C]91[/C][C]155078[/C][C]159799.166242704[/C][C]-4721.16624270377[/C][/ROW]
[ROW][C]92[/C][C]134794[/C][C]161510.321228576[/C][C]-26716.3212285763[/C][/ROW]
[ROW][C]93[/C][C]139985[/C][C]139013.866584409[/C][C]971.133415591117[/C][/ROW]
[ROW][C]94[/C][C]198778[/C][C]142821.643335426[/C][C]55956.3566645742[/C][/ROW]
[ROW][C]95[/C][C]172436[/C][C]205763.141805692[/C][C]-33327.1418056917[/C][/ROW]
[ROW][C]96[/C][C]169585[/C][C]180027.801732862[/C][C]-10442.8017328616[/C][/ROW]
[ROW][C]97[/C][C]203702[/C][C]174598.293782878[/C][C]29103.7062171219[/C][/ROW]
[ROW][C]98[/C][C]282392[/C][C]210277.038127406[/C][C]72114.9618725936[/C][/ROW]
[ROW][C]99[/C][C]220658[/C][C]295829.636988005[/C][C]-75171.6369880053[/C][/ROW]
[ROW][C]100[/C][C]194472[/C][C]232519.151123223[/C][C]-38047.1511232232[/C][/ROW]
[ROW][C]101[/C][C]269246[/C][C]199456.381171681[/C][C]69789.6188283189[/C][/ROW]
[ROW][C]102[/C][C]215340[/C][C]277267.421291702[/C][C]-61927.4212917024[/C][/ROW]
[ROW][C]103[/C][C]218319[/C][C]222627.74419759[/C][C]-4308.74419758952[/C][/ROW]
[ROW][C]104[/C][C]195724[/C][C]221920.351530957[/C][C]-26196.3515309569[/C][/ROW]
[ROW][C]105[/C][C]174614[/C][C]197173.405432642[/C][C]-22559.4054326417[/C][/ROW]
[ROW][C]106[/C][C]172085[/C][C]172986.207114462[/C][C]-901.207114461839[/C][/ROW]
[ROW][C]107[/C][C]152347[/C][C]169163.222778226[/C][C]-16816.222778226[/C][/ROW]
[ROW][C]108[/C][C]189615[/C][C]148145.329382074[/C][C]41469.6706179258[/C][/ROW]
[ROW][C]109[/C][C]173804[/C][C]187533.243064742[/C][C]-13729.2430647423[/C][/ROW]
[ROW][C]110[/C][C]145683[/C][C]172974.75620243[/C][C]-27291.7562024298[/C][/ROW]
[ROW][C]111[/C][C]133550[/C][C]142108.828583876[/C][C]-8558.82858387585[/C][/ROW]
[ROW][C]112[/C][C]121156[/C][C]127863.751398401[/C][C]-6707.75139840128[/C][/ROW]
[ROW][C]113[/C][C]112040[/C][C]114512.888308874[/C][C]-2472.88830887376[/C][/ROW]
[ROW][C]114[/C][C]120767[/C][C]104850.752601006[/C][C]15916.247398994[/C][/ROW]
[ROW][C]115[/C][C]127019[/C][C]114608.10476832[/C][C]12410.8952316802[/C][/ROW]
[ROW][C]116[/C][C]136295[/C][C]122634.901547155[/C][C]13660.0984528453[/C][/ROW]
[ROW][C]117[/C][C]113425[/C][C]133586.317774916[/C][C]-20161.3177749162[/C][/ROW]
[ROW][C]118[/C][C]107815[/C][C]109984.230700184[/C][C]-2169.23070018354[/C][/ROW]
[ROW][C]119[/C][C]100298[/C][C]103117.975410621[/C][C]-2819.97541062113[/C][/ROW]
[ROW][C]120[/C][C]97048[/C][C]95276.4897418061[/C][C]1771.51025819388[/C][/ROW]
[ROW][C]121[/C][C]98750[/C][C]92002.6471126451[/C][C]6747.35288735492[/C][/ROW]
[ROW][C]122[/C][C]98235[/C][C]94294.9408828471[/C][C]3940.05911715291[/C][/ROW]
[ROW][C]123[/C][C]101254[/C][C]94435.6194872898[/C][C]6818.38051271015[/C][/ROW]
[ROW][C]124[/C][C]139589[/C][C]98168.1570345605[/C][C]41420.8429654395[/C][/ROW]
[ROW][C]125[/C][C]134921[/C][C]139906.047228352[/C][C]-4985.0472283519[/C][/ROW]
[ROW][C]126[/C][C]80355[/C][C]137127.919666693[/C][C]-56772.9196666928[/C][/ROW]
[ROW][C]127[/C][C]80396[/C][C]78135.1566671671[/C][C]2260.84333283288[/C][/ROW]
[ROW][C]128[/C][C]82183[/C][C]75251.1997649202[/C][C]6931.80023507976[/C][/ROW]
[ROW][C]129[/C][C]79709[/C][C]77668.6307209328[/C][C]2040.36927906722[/C][/ROW]
[ROW][C]130[/C][C]90781[/C][C]75721.3050052045[/C][C]15059.6949947955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194037&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194037&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
311815910132116838
410976380841.430107025228921.5698929748
59741575478.874577247121936.1254227529
611919066310.800272831752879.1997271683
79790393150.3012286514752.69877134904
89695375089.648205567221863.3517944328
98788875998.614095324411889.3859046756
108463768993.970659031815643.0293409682
119054967535.135921224123013.8640787759
129568075983.127178444619696.8728215554
139937183808.568259429715562.4317405703
147998489710.8351063283-9726.83510632828
158675270459.036643138216292.9633568618
168573377890.09310253727842.90689746282
178490678332.04992727576573.95007272433
187835678413.1484262595-57.1484262594895
1910889572216.818718414636678.1812815854
20101768105437.307846928-3669.30784692836
2173285100038.316758188-26753.3167581881
226572469397.4122310085-3673.41223100848
236745760111.22514178127345.77485821882
246720362181.92491119165021.07508880836
256927362695.30184556916577.69815443088
268080765520.068176241615286.9318237584
277512978531.0275686722-3402.02756867219
287499173436.16629084731554.83370915274
296815773226.7803455296-5069.78034552955
307385866106.34341559497751.65658440511
317134972098.7396976701-749.739697670127
328563469956.825385686115677.1746143139
339162485348.47865692026275.52134307985
3411601492651.192758007323362.8072419927
35120033119092.803752357940.196247642627
36108651124452.375037684-15801.3750376839
37105378111964.998626129-6586.99862612916
38138939107349.72559642831589.2744035719
39132974142864.28783713-9890.28783713045
40135277137894.947399752-2617.94739975204
41152741139467.95285600813273.0471439919
42158417157760.943970466656.056029533996
43157460164207.481665637-6747.48166563737
44193997162792.32311678531204.6768832146
45154089201245.999466321-47156.9994663209
46147570159585.046921474-12015.0469214739
47162924149619.6322984813304.3677015204
48153629165293.384462943-11664.384462943
49155907155868.85242950938.1475704906334
50197675157514.69344471940160.3065552811
51250708202224.23852691648483.7614730837
52266652260992.0563789325659.94362106762
53209842279989.541852195-70147.5418521949
54165826218353.305479884-52527.3054798841
55137152166674.170886324-29522.1708863238
56150581132980.01793627917600.9820637209
57145973146090.252979452-117.252979452431
58126532142431.780848837-15899.7808488372
59115437121820.639501633-6383.63950163346
60119526109392.89428988210133.1057101177
61110856113876.076914771-3020.07691477073
6297243105536.62320946-8293.62320945995
6310387691152.186925183212723.8130748168
6411637098265.022151689418104.9778483106
65109616112776.807812001-3160.80781200125
6698365106777.002646924-8412.0026469236
679044094738.2410808671-4298.2410808671
688889986040.73066647442858.26933352558
699235884474.96216748347883.03783251661
708839488666.538320099-272.538320099047
719821985111.703731524513107.2962684755
7211354695881.23539628317664.764603717
73107168113214.67528165-6046.67528165005
7477540107355.680704806-29815.680704806
757494475216.2193432769-272.219343276913
767564170977.2771748474663.72282515303
777591072000.81253626823909.18746373177
788738472809.809072261614574.1909277384
798461585563.340087318-948.340087318036
808042083518.2744129676-3098.27441296761
818078479044.87831877231739.12168122771
827993379367.5158453107565.484154689271
838211878652.57468437963465.42531562036
849142081122.003018846510297.9969811535
8511242691366.388745410121059.6112545899
86114528114474.3846317353.615368269966
87131025117726.68952132413298.3104786757
88116460135199.956347731-18739.9563477305
89111258119987.20957818-8729.20957818034
90155318113126.17912561242191.820874388
91155078159799.166242704-4721.16624270377
92134794161510.321228576-26716.3212285763
93139985139013.866584409971.133415591117
94198778142821.64333542655956.3566645742
95172436205763.141805692-33327.1418056917
96169585180027.801732862-10442.8017328616
97203702174598.29378287829103.7062171219
98282392210277.03812740672114.9618725936
99220658295829.636988005-75171.6369880053
100194472232519.151123223-38047.1511232232
101269246199456.38117168169789.6188283189
102215340277267.421291702-61927.4212917024
103218319222627.74419759-4308.74419758952
104195724221920.351530957-26196.3515309569
105174614197173.405432642-22559.4054326417
106172085172986.207114462-901.207114461839
107152347169163.222778226-16816.222778226
108189615148145.32938207441469.6706179258
109173804187533.243064742-13729.2430647423
110145683172974.75620243-27291.7562024298
111133550142108.828583876-8558.82858387585
112121156127863.751398401-6707.75139840128
113112040114512.888308874-2472.88830887376
114120767104850.75260100615916.247398994
115127019114608.1047683212410.8952316802
116136295122634.90154715513660.0984528453
117113425133586.317774916-20161.3177749162
118107815109984.230700184-2169.23070018354
119100298103117.975410621-2819.97541062113
1209704895276.48974180611771.51025819388
1219875092002.64711264516747.35288735492
1229823594294.94088284713940.05911715291
12310125494435.61948728986818.38051271015
12413958998168.157034560541420.8429654395
125134921139906.047228352-4985.0472283519
12680355137127.919666693-56772.9196666928
1278039678135.15666716712260.84333283288
1288218375251.19976492026931.80023507976
1297970977668.63072093282040.36927906722
1309078175721.305005204515059.6949947955







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13188006.6425266641628.7064264755134384.578626845
13286052.060023047518021.0809840664154083.039062029
13384097.477519435-3821.64695383461172016.601992705
13482142.8950158225-25214.7337955928189500.523827238

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
131 & 88006.64252666 & 41628.7064264755 & 134384.578626845 \tabularnewline
132 & 86052.0600230475 & 18021.0809840664 & 154083.039062029 \tabularnewline
133 & 84097.477519435 & -3821.64695383461 & 172016.601992705 \tabularnewline
134 & 82142.8950158225 & -25214.7337955928 & 189500.523827238 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=194037&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]131[/C][C]88006.64252666[/C][C]41628.7064264755[/C][C]134384.578626845[/C][/ROW]
[ROW][C]132[/C][C]86052.0600230475[/C][C]18021.0809840664[/C][C]154083.039062029[/C][/ROW]
[ROW][C]133[/C][C]84097.477519435[/C][C]-3821.64695383461[/C][C]172016.601992705[/C][/ROW]
[ROW][C]134[/C][C]82142.8950158225[/C][C]-25214.7337955928[/C][C]189500.523827238[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=194037&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=194037&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
13188006.6425266641628.7064264755134384.578626845
13286052.060023047518021.0809840664154083.039062029
13384097.477519435-3821.64695383461172016.601992705
13482142.8950158225-25214.7337955928189500.523827238



Parameters (Session):
par1 = 4 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 4 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')