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 computationWed, 21 Dec 2016 13:22:23 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/21/t1482323011evc3uwkpvcucbu6.htm/, Retrieved Mon, 06 May 2024 22:38:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302217, Retrieved Mon, 06 May 2024 22:38:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsN1954
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ML Fitting and QQ Plot- Normal Distribution] [Normal distribution] [2016-12-15 09:27:42] [061bcad4f8cbfaa4a6cadfe6faec1e5a]
- RMPD  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chisquared simula...] [2016-12-15 10:38:18] [061bcad4f8cbfaa4a6cadfe6faec1e5a]
- RMPD      [Exponential Smoothing] [Exponential smoot...] [2016-12-21 12:22:23] [9a9519454d094169f95f881e5b6f16f7] [Current]
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Dataseries X:
1008
738
1618
824
906
868
890
740
154
756
204
842
642
1016
2012
914
794
1848
736
356
464
386
614
1358
280
756
644
620
650
938
492
274
778
522
688
1336
726
872
1522
1334
990
988
1022
554
910
1110
880
1596
402
1150
1842
1062
886
1436
1440
1156
986
1764
952
1336
618
1286
1768
1366
878
692
1874
780
1460
670
1562
1806
1008
1488
2112
2006
2126
1912
1450
1622
1034
1898
1628
1658
1240
1620
2640
2482
2208
2234
2756
2040
3672
2644
970
2322
2110
4366
2830
3306
3104
4094
3112
2798
2646
2624
2428
3384
2576
2194
3724
4330
3336
4930
3682
3262
4012
3890
5410
3902
3782
5424
5566
4102
2948
5134




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302217&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302217&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302217&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.275429339760498
beta0.125302487909366
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.275429339760498 \tabularnewline
beta & 0.125302487909366 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302217&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]0.275429339760498[/C][/ROW]
[ROW][C]beta[/C][C]0.125302487909366[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302217&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302217&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
alpha0.275429339760498
beta0.125302487909366
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
316184681150
4824554.432519467081269.567480532919
5906407.671399298929498.328600701071
6868341.116110877467526.883889122533
7890300.609593734664589.390406265336
8740297.660236145512442.339763854488
9154269.474838959378-115.474838959378
1075683.6656685038169672.334331496183
11204138.04584774474365.9541522552566
1284227.687343056975814.312656943025
13642151.552270583543490.447729416457
141016203.141617921691812.858382078309
152012371.5856719110261640.41432808897
16914824.57686269326989.4231373067313
17794853.465743485773-59.4657434857733
181848839.2939775039491008.70602249605
197361154.14049937998-418.140499379982
203561061.56076861077-705.560768610769
21464865.466762649373-401.466762649373
22386739.273754483517-353.273754483517
23614614.162337453306-0.162337453305781
241358586.302562290432771.697437709568
25280797.668423093933-517.668423093933
26756636.039333097767119.960666902233
27644654.172082690016-10.1720826900159
28620636.111396251084-16.1113962510843
29650615.85881238979534.1411876102047
30938610.625544558391327.374455441609
31492697.455663236361-205.455663236361
32274630.438052070539-356.438052070539
33778509.534077768275268.465922231725
34522570.012283467324-48.0122834673243
35688541.666106882569146.333893117431
361336571.89884201385764.10115798615
37726798.65345207375-72.6534520737499
38872792.43387774831279.5661222516876
391522830.886024818343691.113975181657
4013341061.62810598921272.371894010793
419901186.43642598461-196.43642598461
429881175.34176962695-187.341769626954
4310221160.28651277484-138.286512774841
445541153.9699713566-599.969971356597
45910999.786107201688-89.7861072016881
461110983.023151435357126.976848564643
478801030.3452961108-150.345296110804
481596996.096071497051599.903928502949
494021189.19136876589-787.191368765894
501150973.072390155295176.927609844705
5118421028.60618767447813.393812325528
5210621287.51328333839-225.51328333839
538861252.49197330509-366.491973305087
5414361165.99263156577270.007368434227
5514401264.12237258809175.877627411914
5611561342.39590661498-186.395906614978
579861314.45578826853-328.455788268532
5817641236.0525504185527.947449581499
599521411.74840355922-459.748403559223
6013361299.5370115799236.4629884200756
616181325.25520565747-707.255205657465
6212861121.72280998816164.277190011837
6317681163.905537983604.094462016997
6413661348.0753437280717.9246562719331
658781371.41540229515-493.415402295152
666921236.88866289467-544.888662894674
6718741069.37948985027804.620510149726
687801301.33378551128-521.333785511285
6914601150.08910299696309.910897003039
706701238.48923371572-568.489233715717
7115621065.33250645947496.667493540529
7218061202.69217268915603.307827310852
7310081390.24506422517-382.245064225167
7414881293.15573895555194.844261044454
7521121361.73820706328750.261792936718
7620061609.19198040092396.80801959908
7721261772.98884534981353.011154650188
7819121936.90588314621-24.9058831462069
7914501995.87392935933-545.873929359335
8016221892.51289960797-270.512899607972
8110341855.6584402859-821.658440285898
8218981638.64526767999259.354732320014
8316281728.32568520503-100.325685205035
8416581715.47712461308-57.4771246130811
8512401712.44666531246-472.446665312462
8616201578.816348816141.1836511838976
8726401588.07622068171051.9237793183
8824821912.02755273605569.972447263947
8922082122.9062261701485.0937738298553
9022342203.1718414658130.8281585341851
9127562269.55505500638486.444944993619
9220402478.21667817506-438.216678175063
9336722417.075635075681254.92436492432
9426442865.58523808384-221.585238083841
959702899.77343034463-1929.77343034463
9623222396.87617166773-74.8761716677263
9721102402.28791521923-292.287915219233
9843662337.7306506612028.269349339
9928302982.32253564875-152.322535648751
10033063021.05848493256284.941515067435
10131043190.06367930707-86.0636793070657
10240943253.91292983791840.087070162094
10331123601.84433925034-489.84433925034
10427983566.56811986001-768.568119860013
10526463427.99838485501-781.998384855015
10626243258.74124702658-634.741247026583
10724283108.13686726093-680.136867260925
10833842921.55633079537462.443669204628
10925763065.63584447514-489.635844475144
11021942930.58642308888-736.586423088884
11137242702.098509863561021.90149013644
11243302993.217606892671336.78239310733
11333363417.19915237104-81.1991523710408
11449303447.824633340051482.17536665995
11536823960.20213474064-278.202134740643
11632623978.11871626957-716.11871626957
11740123850.70554697921161.294453020792
11838903970.52429878482-80.5242987848187
11954104020.960018327711389.03998167229
12039024524.0953795439-622.095379543902
12137824451.8353118118-669.835311811799
12254244343.308922155451080.69107784455
12355664754.22565073771811.774349262291
12441025119.09076365228-1017.09076365228
12529484945.13094837131-1997.13094837131
12651344432.31436570075701.685634299254

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 1618 & 468 & 1150 \tabularnewline
4 & 824 & 554.432519467081 & 269.567480532919 \tabularnewline
5 & 906 & 407.671399298929 & 498.328600701071 \tabularnewline
6 & 868 & 341.116110877467 & 526.883889122533 \tabularnewline
7 & 890 & 300.609593734664 & 589.390406265336 \tabularnewline
8 & 740 & 297.660236145512 & 442.339763854488 \tabularnewline
9 & 154 & 269.474838959378 & -115.474838959378 \tabularnewline
10 & 756 & 83.6656685038169 & 672.334331496183 \tabularnewline
11 & 204 & 138.045847744743 & 65.9541522552566 \tabularnewline
12 & 842 & 27.687343056975 & 814.312656943025 \tabularnewline
13 & 642 & 151.552270583543 & 490.447729416457 \tabularnewline
14 & 1016 & 203.141617921691 & 812.858382078309 \tabularnewline
15 & 2012 & 371.585671911026 & 1640.41432808897 \tabularnewline
16 & 914 & 824.576862693269 & 89.4231373067313 \tabularnewline
17 & 794 & 853.465743485773 & -59.4657434857733 \tabularnewline
18 & 1848 & 839.293977503949 & 1008.70602249605 \tabularnewline
19 & 736 & 1154.14049937998 & -418.140499379982 \tabularnewline
20 & 356 & 1061.56076861077 & -705.560768610769 \tabularnewline
21 & 464 & 865.466762649373 & -401.466762649373 \tabularnewline
22 & 386 & 739.273754483517 & -353.273754483517 \tabularnewline
23 & 614 & 614.162337453306 & -0.162337453305781 \tabularnewline
24 & 1358 & 586.302562290432 & 771.697437709568 \tabularnewline
25 & 280 & 797.668423093933 & -517.668423093933 \tabularnewline
26 & 756 & 636.039333097767 & 119.960666902233 \tabularnewline
27 & 644 & 654.172082690016 & -10.1720826900159 \tabularnewline
28 & 620 & 636.111396251084 & -16.1113962510843 \tabularnewline
29 & 650 & 615.858812389795 & 34.1411876102047 \tabularnewline
30 & 938 & 610.625544558391 & 327.374455441609 \tabularnewline
31 & 492 & 697.455663236361 & -205.455663236361 \tabularnewline
32 & 274 & 630.438052070539 & -356.438052070539 \tabularnewline
33 & 778 & 509.534077768275 & 268.465922231725 \tabularnewline
34 & 522 & 570.012283467324 & -48.0122834673243 \tabularnewline
35 & 688 & 541.666106882569 & 146.333893117431 \tabularnewline
36 & 1336 & 571.89884201385 & 764.10115798615 \tabularnewline
37 & 726 & 798.65345207375 & -72.6534520737499 \tabularnewline
38 & 872 & 792.433877748312 & 79.5661222516876 \tabularnewline
39 & 1522 & 830.886024818343 & 691.113975181657 \tabularnewline
40 & 1334 & 1061.62810598921 & 272.371894010793 \tabularnewline
41 & 990 & 1186.43642598461 & -196.43642598461 \tabularnewline
42 & 988 & 1175.34176962695 & -187.341769626954 \tabularnewline
43 & 1022 & 1160.28651277484 & -138.286512774841 \tabularnewline
44 & 554 & 1153.9699713566 & -599.969971356597 \tabularnewline
45 & 910 & 999.786107201688 & -89.7861072016881 \tabularnewline
46 & 1110 & 983.023151435357 & 126.976848564643 \tabularnewline
47 & 880 & 1030.3452961108 & -150.345296110804 \tabularnewline
48 & 1596 & 996.096071497051 & 599.903928502949 \tabularnewline
49 & 402 & 1189.19136876589 & -787.191368765894 \tabularnewline
50 & 1150 & 973.072390155295 & 176.927609844705 \tabularnewline
51 & 1842 & 1028.60618767447 & 813.393812325528 \tabularnewline
52 & 1062 & 1287.51328333839 & -225.51328333839 \tabularnewline
53 & 886 & 1252.49197330509 & -366.491973305087 \tabularnewline
54 & 1436 & 1165.99263156577 & 270.007368434227 \tabularnewline
55 & 1440 & 1264.12237258809 & 175.877627411914 \tabularnewline
56 & 1156 & 1342.39590661498 & -186.395906614978 \tabularnewline
57 & 986 & 1314.45578826853 & -328.455788268532 \tabularnewline
58 & 1764 & 1236.0525504185 & 527.947449581499 \tabularnewline
59 & 952 & 1411.74840355922 & -459.748403559223 \tabularnewline
60 & 1336 & 1299.53701157992 & 36.4629884200756 \tabularnewline
61 & 618 & 1325.25520565747 & -707.255205657465 \tabularnewline
62 & 1286 & 1121.72280998816 & 164.277190011837 \tabularnewline
63 & 1768 & 1163.905537983 & 604.094462016997 \tabularnewline
64 & 1366 & 1348.07534372807 & 17.9246562719331 \tabularnewline
65 & 878 & 1371.41540229515 & -493.415402295152 \tabularnewline
66 & 692 & 1236.88866289467 & -544.888662894674 \tabularnewline
67 & 1874 & 1069.37948985027 & 804.620510149726 \tabularnewline
68 & 780 & 1301.33378551128 & -521.333785511285 \tabularnewline
69 & 1460 & 1150.08910299696 & 309.910897003039 \tabularnewline
70 & 670 & 1238.48923371572 & -568.489233715717 \tabularnewline
71 & 1562 & 1065.33250645947 & 496.667493540529 \tabularnewline
72 & 1806 & 1202.69217268915 & 603.307827310852 \tabularnewline
73 & 1008 & 1390.24506422517 & -382.245064225167 \tabularnewline
74 & 1488 & 1293.15573895555 & 194.844261044454 \tabularnewline
75 & 2112 & 1361.73820706328 & 750.261792936718 \tabularnewline
76 & 2006 & 1609.19198040092 & 396.80801959908 \tabularnewline
77 & 2126 & 1772.98884534981 & 353.011154650188 \tabularnewline
78 & 1912 & 1936.90588314621 & -24.9058831462069 \tabularnewline
79 & 1450 & 1995.87392935933 & -545.873929359335 \tabularnewline
80 & 1622 & 1892.51289960797 & -270.512899607972 \tabularnewline
81 & 1034 & 1855.6584402859 & -821.658440285898 \tabularnewline
82 & 1898 & 1638.64526767999 & 259.354732320014 \tabularnewline
83 & 1628 & 1728.32568520503 & -100.325685205035 \tabularnewline
84 & 1658 & 1715.47712461308 & -57.4771246130811 \tabularnewline
85 & 1240 & 1712.44666531246 & -472.446665312462 \tabularnewline
86 & 1620 & 1578.8163488161 & 41.1836511838976 \tabularnewline
87 & 2640 & 1588.0762206817 & 1051.9237793183 \tabularnewline
88 & 2482 & 1912.02755273605 & 569.972447263947 \tabularnewline
89 & 2208 & 2122.90622617014 & 85.0937738298553 \tabularnewline
90 & 2234 & 2203.17184146581 & 30.8281585341851 \tabularnewline
91 & 2756 & 2269.55505500638 & 486.444944993619 \tabularnewline
92 & 2040 & 2478.21667817506 & -438.216678175063 \tabularnewline
93 & 3672 & 2417.07563507568 & 1254.92436492432 \tabularnewline
94 & 2644 & 2865.58523808384 & -221.585238083841 \tabularnewline
95 & 970 & 2899.77343034463 & -1929.77343034463 \tabularnewline
96 & 2322 & 2396.87617166773 & -74.8761716677263 \tabularnewline
97 & 2110 & 2402.28791521923 & -292.287915219233 \tabularnewline
98 & 4366 & 2337.730650661 & 2028.269349339 \tabularnewline
99 & 2830 & 2982.32253564875 & -152.322535648751 \tabularnewline
100 & 3306 & 3021.05848493256 & 284.941515067435 \tabularnewline
101 & 3104 & 3190.06367930707 & -86.0636793070657 \tabularnewline
102 & 4094 & 3253.91292983791 & 840.087070162094 \tabularnewline
103 & 3112 & 3601.84433925034 & -489.84433925034 \tabularnewline
104 & 2798 & 3566.56811986001 & -768.568119860013 \tabularnewline
105 & 2646 & 3427.99838485501 & -781.998384855015 \tabularnewline
106 & 2624 & 3258.74124702658 & -634.741247026583 \tabularnewline
107 & 2428 & 3108.13686726093 & -680.136867260925 \tabularnewline
108 & 3384 & 2921.55633079537 & 462.443669204628 \tabularnewline
109 & 2576 & 3065.63584447514 & -489.635844475144 \tabularnewline
110 & 2194 & 2930.58642308888 & -736.586423088884 \tabularnewline
111 & 3724 & 2702.09850986356 & 1021.90149013644 \tabularnewline
112 & 4330 & 2993.21760689267 & 1336.78239310733 \tabularnewline
113 & 3336 & 3417.19915237104 & -81.1991523710408 \tabularnewline
114 & 4930 & 3447.82463334005 & 1482.17536665995 \tabularnewline
115 & 3682 & 3960.20213474064 & -278.202134740643 \tabularnewline
116 & 3262 & 3978.11871626957 & -716.11871626957 \tabularnewline
117 & 4012 & 3850.70554697921 & 161.294453020792 \tabularnewline
118 & 3890 & 3970.52429878482 & -80.5242987848187 \tabularnewline
119 & 5410 & 4020.96001832771 & 1389.03998167229 \tabularnewline
120 & 3902 & 4524.0953795439 & -622.095379543902 \tabularnewline
121 & 3782 & 4451.8353118118 & -669.835311811799 \tabularnewline
122 & 5424 & 4343.30892215545 & 1080.69107784455 \tabularnewline
123 & 5566 & 4754.22565073771 & 811.774349262291 \tabularnewline
124 & 4102 & 5119.09076365228 & -1017.09076365228 \tabularnewline
125 & 2948 & 4945.13094837131 & -1997.13094837131 \tabularnewline
126 & 5134 & 4432.31436570075 & 701.685634299254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302217&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]1618[/C][C]468[/C][C]1150[/C][/ROW]
[ROW][C]4[/C][C]824[/C][C]554.432519467081[/C][C]269.567480532919[/C][/ROW]
[ROW][C]5[/C][C]906[/C][C]407.671399298929[/C][C]498.328600701071[/C][/ROW]
[ROW][C]6[/C][C]868[/C][C]341.116110877467[/C][C]526.883889122533[/C][/ROW]
[ROW][C]7[/C][C]890[/C][C]300.609593734664[/C][C]589.390406265336[/C][/ROW]
[ROW][C]8[/C][C]740[/C][C]297.660236145512[/C][C]442.339763854488[/C][/ROW]
[ROW][C]9[/C][C]154[/C][C]269.474838959378[/C][C]-115.474838959378[/C][/ROW]
[ROW][C]10[/C][C]756[/C][C]83.6656685038169[/C][C]672.334331496183[/C][/ROW]
[ROW][C]11[/C][C]204[/C][C]138.045847744743[/C][C]65.9541522552566[/C][/ROW]
[ROW][C]12[/C][C]842[/C][C]27.687343056975[/C][C]814.312656943025[/C][/ROW]
[ROW][C]13[/C][C]642[/C][C]151.552270583543[/C][C]490.447729416457[/C][/ROW]
[ROW][C]14[/C][C]1016[/C][C]203.141617921691[/C][C]812.858382078309[/C][/ROW]
[ROW][C]15[/C][C]2012[/C][C]371.585671911026[/C][C]1640.41432808897[/C][/ROW]
[ROW][C]16[/C][C]914[/C][C]824.576862693269[/C][C]89.4231373067313[/C][/ROW]
[ROW][C]17[/C][C]794[/C][C]853.465743485773[/C][C]-59.4657434857733[/C][/ROW]
[ROW][C]18[/C][C]1848[/C][C]839.293977503949[/C][C]1008.70602249605[/C][/ROW]
[ROW][C]19[/C][C]736[/C][C]1154.14049937998[/C][C]-418.140499379982[/C][/ROW]
[ROW][C]20[/C][C]356[/C][C]1061.56076861077[/C][C]-705.560768610769[/C][/ROW]
[ROW][C]21[/C][C]464[/C][C]865.466762649373[/C][C]-401.466762649373[/C][/ROW]
[ROW][C]22[/C][C]386[/C][C]739.273754483517[/C][C]-353.273754483517[/C][/ROW]
[ROW][C]23[/C][C]614[/C][C]614.162337453306[/C][C]-0.162337453305781[/C][/ROW]
[ROW][C]24[/C][C]1358[/C][C]586.302562290432[/C][C]771.697437709568[/C][/ROW]
[ROW][C]25[/C][C]280[/C][C]797.668423093933[/C][C]-517.668423093933[/C][/ROW]
[ROW][C]26[/C][C]756[/C][C]636.039333097767[/C][C]119.960666902233[/C][/ROW]
[ROW][C]27[/C][C]644[/C][C]654.172082690016[/C][C]-10.1720826900159[/C][/ROW]
[ROW][C]28[/C][C]620[/C][C]636.111396251084[/C][C]-16.1113962510843[/C][/ROW]
[ROW][C]29[/C][C]650[/C][C]615.858812389795[/C][C]34.1411876102047[/C][/ROW]
[ROW][C]30[/C][C]938[/C][C]610.625544558391[/C][C]327.374455441609[/C][/ROW]
[ROW][C]31[/C][C]492[/C][C]697.455663236361[/C][C]-205.455663236361[/C][/ROW]
[ROW][C]32[/C][C]274[/C][C]630.438052070539[/C][C]-356.438052070539[/C][/ROW]
[ROW][C]33[/C][C]778[/C][C]509.534077768275[/C][C]268.465922231725[/C][/ROW]
[ROW][C]34[/C][C]522[/C][C]570.012283467324[/C][C]-48.0122834673243[/C][/ROW]
[ROW][C]35[/C][C]688[/C][C]541.666106882569[/C][C]146.333893117431[/C][/ROW]
[ROW][C]36[/C][C]1336[/C][C]571.89884201385[/C][C]764.10115798615[/C][/ROW]
[ROW][C]37[/C][C]726[/C][C]798.65345207375[/C][C]-72.6534520737499[/C][/ROW]
[ROW][C]38[/C][C]872[/C][C]792.433877748312[/C][C]79.5661222516876[/C][/ROW]
[ROW][C]39[/C][C]1522[/C][C]830.886024818343[/C][C]691.113975181657[/C][/ROW]
[ROW][C]40[/C][C]1334[/C][C]1061.62810598921[/C][C]272.371894010793[/C][/ROW]
[ROW][C]41[/C][C]990[/C][C]1186.43642598461[/C][C]-196.43642598461[/C][/ROW]
[ROW][C]42[/C][C]988[/C][C]1175.34176962695[/C][C]-187.341769626954[/C][/ROW]
[ROW][C]43[/C][C]1022[/C][C]1160.28651277484[/C][C]-138.286512774841[/C][/ROW]
[ROW][C]44[/C][C]554[/C][C]1153.9699713566[/C][C]-599.969971356597[/C][/ROW]
[ROW][C]45[/C][C]910[/C][C]999.786107201688[/C][C]-89.7861072016881[/C][/ROW]
[ROW][C]46[/C][C]1110[/C][C]983.023151435357[/C][C]126.976848564643[/C][/ROW]
[ROW][C]47[/C][C]880[/C][C]1030.3452961108[/C][C]-150.345296110804[/C][/ROW]
[ROW][C]48[/C][C]1596[/C][C]996.096071497051[/C][C]599.903928502949[/C][/ROW]
[ROW][C]49[/C][C]402[/C][C]1189.19136876589[/C][C]-787.191368765894[/C][/ROW]
[ROW][C]50[/C][C]1150[/C][C]973.072390155295[/C][C]176.927609844705[/C][/ROW]
[ROW][C]51[/C][C]1842[/C][C]1028.60618767447[/C][C]813.393812325528[/C][/ROW]
[ROW][C]52[/C][C]1062[/C][C]1287.51328333839[/C][C]-225.51328333839[/C][/ROW]
[ROW][C]53[/C][C]886[/C][C]1252.49197330509[/C][C]-366.491973305087[/C][/ROW]
[ROW][C]54[/C][C]1436[/C][C]1165.99263156577[/C][C]270.007368434227[/C][/ROW]
[ROW][C]55[/C][C]1440[/C][C]1264.12237258809[/C][C]175.877627411914[/C][/ROW]
[ROW][C]56[/C][C]1156[/C][C]1342.39590661498[/C][C]-186.395906614978[/C][/ROW]
[ROW][C]57[/C][C]986[/C][C]1314.45578826853[/C][C]-328.455788268532[/C][/ROW]
[ROW][C]58[/C][C]1764[/C][C]1236.0525504185[/C][C]527.947449581499[/C][/ROW]
[ROW][C]59[/C][C]952[/C][C]1411.74840355922[/C][C]-459.748403559223[/C][/ROW]
[ROW][C]60[/C][C]1336[/C][C]1299.53701157992[/C][C]36.4629884200756[/C][/ROW]
[ROW][C]61[/C][C]618[/C][C]1325.25520565747[/C][C]-707.255205657465[/C][/ROW]
[ROW][C]62[/C][C]1286[/C][C]1121.72280998816[/C][C]164.277190011837[/C][/ROW]
[ROW][C]63[/C][C]1768[/C][C]1163.905537983[/C][C]604.094462016997[/C][/ROW]
[ROW][C]64[/C][C]1366[/C][C]1348.07534372807[/C][C]17.9246562719331[/C][/ROW]
[ROW][C]65[/C][C]878[/C][C]1371.41540229515[/C][C]-493.415402295152[/C][/ROW]
[ROW][C]66[/C][C]692[/C][C]1236.88866289467[/C][C]-544.888662894674[/C][/ROW]
[ROW][C]67[/C][C]1874[/C][C]1069.37948985027[/C][C]804.620510149726[/C][/ROW]
[ROW][C]68[/C][C]780[/C][C]1301.33378551128[/C][C]-521.333785511285[/C][/ROW]
[ROW][C]69[/C][C]1460[/C][C]1150.08910299696[/C][C]309.910897003039[/C][/ROW]
[ROW][C]70[/C][C]670[/C][C]1238.48923371572[/C][C]-568.489233715717[/C][/ROW]
[ROW][C]71[/C][C]1562[/C][C]1065.33250645947[/C][C]496.667493540529[/C][/ROW]
[ROW][C]72[/C][C]1806[/C][C]1202.69217268915[/C][C]603.307827310852[/C][/ROW]
[ROW][C]73[/C][C]1008[/C][C]1390.24506422517[/C][C]-382.245064225167[/C][/ROW]
[ROW][C]74[/C][C]1488[/C][C]1293.15573895555[/C][C]194.844261044454[/C][/ROW]
[ROW][C]75[/C][C]2112[/C][C]1361.73820706328[/C][C]750.261792936718[/C][/ROW]
[ROW][C]76[/C][C]2006[/C][C]1609.19198040092[/C][C]396.80801959908[/C][/ROW]
[ROW][C]77[/C][C]2126[/C][C]1772.98884534981[/C][C]353.011154650188[/C][/ROW]
[ROW][C]78[/C][C]1912[/C][C]1936.90588314621[/C][C]-24.9058831462069[/C][/ROW]
[ROW][C]79[/C][C]1450[/C][C]1995.87392935933[/C][C]-545.873929359335[/C][/ROW]
[ROW][C]80[/C][C]1622[/C][C]1892.51289960797[/C][C]-270.512899607972[/C][/ROW]
[ROW][C]81[/C][C]1034[/C][C]1855.6584402859[/C][C]-821.658440285898[/C][/ROW]
[ROW][C]82[/C][C]1898[/C][C]1638.64526767999[/C][C]259.354732320014[/C][/ROW]
[ROW][C]83[/C][C]1628[/C][C]1728.32568520503[/C][C]-100.325685205035[/C][/ROW]
[ROW][C]84[/C][C]1658[/C][C]1715.47712461308[/C][C]-57.4771246130811[/C][/ROW]
[ROW][C]85[/C][C]1240[/C][C]1712.44666531246[/C][C]-472.446665312462[/C][/ROW]
[ROW][C]86[/C][C]1620[/C][C]1578.8163488161[/C][C]41.1836511838976[/C][/ROW]
[ROW][C]87[/C][C]2640[/C][C]1588.0762206817[/C][C]1051.9237793183[/C][/ROW]
[ROW][C]88[/C][C]2482[/C][C]1912.02755273605[/C][C]569.972447263947[/C][/ROW]
[ROW][C]89[/C][C]2208[/C][C]2122.90622617014[/C][C]85.0937738298553[/C][/ROW]
[ROW][C]90[/C][C]2234[/C][C]2203.17184146581[/C][C]30.8281585341851[/C][/ROW]
[ROW][C]91[/C][C]2756[/C][C]2269.55505500638[/C][C]486.444944993619[/C][/ROW]
[ROW][C]92[/C][C]2040[/C][C]2478.21667817506[/C][C]-438.216678175063[/C][/ROW]
[ROW][C]93[/C][C]3672[/C][C]2417.07563507568[/C][C]1254.92436492432[/C][/ROW]
[ROW][C]94[/C][C]2644[/C][C]2865.58523808384[/C][C]-221.585238083841[/C][/ROW]
[ROW][C]95[/C][C]970[/C][C]2899.77343034463[/C][C]-1929.77343034463[/C][/ROW]
[ROW][C]96[/C][C]2322[/C][C]2396.87617166773[/C][C]-74.8761716677263[/C][/ROW]
[ROW][C]97[/C][C]2110[/C][C]2402.28791521923[/C][C]-292.287915219233[/C][/ROW]
[ROW][C]98[/C][C]4366[/C][C]2337.730650661[/C][C]2028.269349339[/C][/ROW]
[ROW][C]99[/C][C]2830[/C][C]2982.32253564875[/C][C]-152.322535648751[/C][/ROW]
[ROW][C]100[/C][C]3306[/C][C]3021.05848493256[/C][C]284.941515067435[/C][/ROW]
[ROW][C]101[/C][C]3104[/C][C]3190.06367930707[/C][C]-86.0636793070657[/C][/ROW]
[ROW][C]102[/C][C]4094[/C][C]3253.91292983791[/C][C]840.087070162094[/C][/ROW]
[ROW][C]103[/C][C]3112[/C][C]3601.84433925034[/C][C]-489.84433925034[/C][/ROW]
[ROW][C]104[/C][C]2798[/C][C]3566.56811986001[/C][C]-768.568119860013[/C][/ROW]
[ROW][C]105[/C][C]2646[/C][C]3427.99838485501[/C][C]-781.998384855015[/C][/ROW]
[ROW][C]106[/C][C]2624[/C][C]3258.74124702658[/C][C]-634.741247026583[/C][/ROW]
[ROW][C]107[/C][C]2428[/C][C]3108.13686726093[/C][C]-680.136867260925[/C][/ROW]
[ROW][C]108[/C][C]3384[/C][C]2921.55633079537[/C][C]462.443669204628[/C][/ROW]
[ROW][C]109[/C][C]2576[/C][C]3065.63584447514[/C][C]-489.635844475144[/C][/ROW]
[ROW][C]110[/C][C]2194[/C][C]2930.58642308888[/C][C]-736.586423088884[/C][/ROW]
[ROW][C]111[/C][C]3724[/C][C]2702.09850986356[/C][C]1021.90149013644[/C][/ROW]
[ROW][C]112[/C][C]4330[/C][C]2993.21760689267[/C][C]1336.78239310733[/C][/ROW]
[ROW][C]113[/C][C]3336[/C][C]3417.19915237104[/C][C]-81.1991523710408[/C][/ROW]
[ROW][C]114[/C][C]4930[/C][C]3447.82463334005[/C][C]1482.17536665995[/C][/ROW]
[ROW][C]115[/C][C]3682[/C][C]3960.20213474064[/C][C]-278.202134740643[/C][/ROW]
[ROW][C]116[/C][C]3262[/C][C]3978.11871626957[/C][C]-716.11871626957[/C][/ROW]
[ROW][C]117[/C][C]4012[/C][C]3850.70554697921[/C][C]161.294453020792[/C][/ROW]
[ROW][C]118[/C][C]3890[/C][C]3970.52429878482[/C][C]-80.5242987848187[/C][/ROW]
[ROW][C]119[/C][C]5410[/C][C]4020.96001832771[/C][C]1389.03998167229[/C][/ROW]
[ROW][C]120[/C][C]3902[/C][C]4524.0953795439[/C][C]-622.095379543902[/C][/ROW]
[ROW][C]121[/C][C]3782[/C][C]4451.8353118118[/C][C]-669.835311811799[/C][/ROW]
[ROW][C]122[/C][C]5424[/C][C]4343.30892215545[/C][C]1080.69107784455[/C][/ROW]
[ROW][C]123[/C][C]5566[/C][C]4754.22565073771[/C][C]811.774349262291[/C][/ROW]
[ROW][C]124[/C][C]4102[/C][C]5119.09076365228[/C][C]-1017.09076365228[/C][/ROW]
[ROW][C]125[/C][C]2948[/C][C]4945.13094837131[/C][C]-1997.13094837131[/C][/ROW]
[ROW][C]126[/C][C]5134[/C][C]4432.31436570075[/C][C]701.685634299254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302217&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302217&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
316184681150
4824554.432519467081269.567480532919
5906407.671399298929498.328600701071
6868341.116110877467526.883889122533
7890300.609593734664589.390406265336
8740297.660236145512442.339763854488
9154269.474838959378-115.474838959378
1075683.6656685038169672.334331496183
11204138.04584774474365.9541522552566
1284227.687343056975814.312656943025
13642151.552270583543490.447729416457
141016203.141617921691812.858382078309
152012371.5856719110261640.41432808897
16914824.57686269326989.4231373067313
17794853.465743485773-59.4657434857733
181848839.2939775039491008.70602249605
197361154.14049937998-418.140499379982
203561061.56076861077-705.560768610769
21464865.466762649373-401.466762649373
22386739.273754483517-353.273754483517
23614614.162337453306-0.162337453305781
241358586.302562290432771.697437709568
25280797.668423093933-517.668423093933
26756636.039333097767119.960666902233
27644654.172082690016-10.1720826900159
28620636.111396251084-16.1113962510843
29650615.85881238979534.1411876102047
30938610.625544558391327.374455441609
31492697.455663236361-205.455663236361
32274630.438052070539-356.438052070539
33778509.534077768275268.465922231725
34522570.012283467324-48.0122834673243
35688541.666106882569146.333893117431
361336571.89884201385764.10115798615
37726798.65345207375-72.6534520737499
38872792.43387774831279.5661222516876
391522830.886024818343691.113975181657
4013341061.62810598921272.371894010793
419901186.43642598461-196.43642598461
429881175.34176962695-187.341769626954
4310221160.28651277484-138.286512774841
445541153.9699713566-599.969971356597
45910999.786107201688-89.7861072016881
461110983.023151435357126.976848564643
478801030.3452961108-150.345296110804
481596996.096071497051599.903928502949
494021189.19136876589-787.191368765894
501150973.072390155295176.927609844705
5118421028.60618767447813.393812325528
5210621287.51328333839-225.51328333839
538861252.49197330509-366.491973305087
5414361165.99263156577270.007368434227
5514401264.12237258809175.877627411914
5611561342.39590661498-186.395906614978
579861314.45578826853-328.455788268532
5817641236.0525504185527.947449581499
599521411.74840355922-459.748403559223
6013361299.5370115799236.4629884200756
616181325.25520565747-707.255205657465
6212861121.72280998816164.277190011837
6317681163.905537983604.094462016997
6413661348.0753437280717.9246562719331
658781371.41540229515-493.415402295152
666921236.88866289467-544.888662894674
6718741069.37948985027804.620510149726
687801301.33378551128-521.333785511285
6914601150.08910299696309.910897003039
706701238.48923371572-568.489233715717
7115621065.33250645947496.667493540529
7218061202.69217268915603.307827310852
7310081390.24506422517-382.245064225167
7414881293.15573895555194.844261044454
7521121361.73820706328750.261792936718
7620061609.19198040092396.80801959908
7721261772.98884534981353.011154650188
7819121936.90588314621-24.9058831462069
7914501995.87392935933-545.873929359335
8016221892.51289960797-270.512899607972
8110341855.6584402859-821.658440285898
8218981638.64526767999259.354732320014
8316281728.32568520503-100.325685205035
8416581715.47712461308-57.4771246130811
8512401712.44666531246-472.446665312462
8616201578.816348816141.1836511838976
8726401588.07622068171051.9237793183
8824821912.02755273605569.972447263947
8922082122.9062261701485.0937738298553
9022342203.1718414658130.8281585341851
9127562269.55505500638486.444944993619
9220402478.21667817506-438.216678175063
9336722417.075635075681254.92436492432
9426442865.58523808384-221.585238083841
959702899.77343034463-1929.77343034463
9623222396.87617166773-74.8761716677263
9721102402.28791521923-292.287915219233
9843662337.7306506612028.269349339
9928302982.32253564875-152.322535648751
10033063021.05848493256284.941515067435
10131043190.06367930707-86.0636793070657
10240943253.91292983791840.087070162094
10331123601.84433925034-489.84433925034
10427983566.56811986001-768.568119860013
10526463427.99838485501-781.998384855015
10626243258.74124702658-634.741247026583
10724283108.13686726093-680.136867260925
10833842921.55633079537462.443669204628
10925763065.63584447514-489.635844475144
11021942930.58642308888-736.586423088884
11137242702.098509863561021.90149013644
11243302993.217606892671336.78239310733
11333363417.19915237104-81.1991523710408
11449303447.824633340051482.17536665995
11536823960.20213474064-278.202134740643
11632623978.11871626957-716.11871626957
11740123850.70554697921161.294453020792
11838903970.52429878482-80.5242987848187
11954104020.960018327711389.03998167229
12039024524.0953795439-622.095379543902
12137824451.8353118118-669.835311811799
12254244343.308922155451080.69107784455
12355664754.22565073771811.774349262291
12441025119.09076365228-1017.09076365228
12529484945.13094837131-1997.13094837131
12651344432.31436570075701.685634299254







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1274687.047614170253425.015242201065949.07998613945
1284748.516051665293427.255778569416069.77632476118
1294809.984489160333419.048634071436200.92034424923
1304871.452926655373400.588773674046342.31707963669
1314932.921364150413372.235861745146493.60686655567
1324994.389801645453334.45296153826654.3266417527
1335055.858239140483287.755102668216823.96137561276
1345117.326676635523232.670602152077001.98275111898
1355178.795114130563169.714756281747187.87547197938
1365240.26355162563099.373803339017381.15329991219
1375301.731989120643022.09655189457581.36742634677
1385363.200426615682938.291265676747788.10958755461

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 4687.04761417025 & 3425.01524220106 & 5949.07998613945 \tabularnewline
128 & 4748.51605166529 & 3427.25577856941 & 6069.77632476118 \tabularnewline
129 & 4809.98448916033 & 3419.04863407143 & 6200.92034424923 \tabularnewline
130 & 4871.45292665537 & 3400.58877367404 & 6342.31707963669 \tabularnewline
131 & 4932.92136415041 & 3372.23586174514 & 6493.60686655567 \tabularnewline
132 & 4994.38980164545 & 3334.4529615382 & 6654.3266417527 \tabularnewline
133 & 5055.85823914048 & 3287.75510266821 & 6823.96137561276 \tabularnewline
134 & 5117.32667663552 & 3232.67060215207 & 7001.98275111898 \tabularnewline
135 & 5178.79511413056 & 3169.71475628174 & 7187.87547197938 \tabularnewline
136 & 5240.2635516256 & 3099.37380333901 & 7381.15329991219 \tabularnewline
137 & 5301.73198912064 & 3022.0965518945 & 7581.36742634677 \tabularnewline
138 & 5363.20042661568 & 2938.29126567674 & 7788.10958755461 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302217&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]127[/C][C]4687.04761417025[/C][C]3425.01524220106[/C][C]5949.07998613945[/C][/ROW]
[ROW][C]128[/C][C]4748.51605166529[/C][C]3427.25577856941[/C][C]6069.77632476118[/C][/ROW]
[ROW][C]129[/C][C]4809.98448916033[/C][C]3419.04863407143[/C][C]6200.92034424923[/C][/ROW]
[ROW][C]130[/C][C]4871.45292665537[/C][C]3400.58877367404[/C][C]6342.31707963669[/C][/ROW]
[ROW][C]131[/C][C]4932.92136415041[/C][C]3372.23586174514[/C][C]6493.60686655567[/C][/ROW]
[ROW][C]132[/C][C]4994.38980164545[/C][C]3334.4529615382[/C][C]6654.3266417527[/C][/ROW]
[ROW][C]133[/C][C]5055.85823914048[/C][C]3287.75510266821[/C][C]6823.96137561276[/C][/ROW]
[ROW][C]134[/C][C]5117.32667663552[/C][C]3232.67060215207[/C][C]7001.98275111898[/C][/ROW]
[ROW][C]135[/C][C]5178.79511413056[/C][C]3169.71475628174[/C][C]7187.87547197938[/C][/ROW]
[ROW][C]136[/C][C]5240.2635516256[/C][C]3099.37380333901[/C][C]7381.15329991219[/C][/ROW]
[ROW][C]137[/C][C]5301.73198912064[/C][C]3022.0965518945[/C][C]7581.36742634677[/C][/ROW]
[ROW][C]138[/C][C]5363.20042661568[/C][C]2938.29126567674[/C][C]7788.10958755461[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302217&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302217&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
1274687.047614170253425.015242201065949.07998613945
1284748.516051665293427.255778569416069.77632476118
1294809.984489160333419.048634071436200.92034424923
1304871.452926655373400.588773674046342.31707963669
1314932.921364150413372.235861745146493.60686655567
1324994.389801645453334.45296153826654.3266417527
1335055.858239140483287.755102668216823.96137561276
1345117.326676635523232.670602152077001.98275111898
1355178.795114130563169.714756281747187.87547197938
1365240.26355162563099.373803339017381.15329991219
1375301.731989120643022.09655189457581.36742634677
1385363.200426615682938.291265676747788.10958755461



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')