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 computationSat, 17 Dec 2016 10:52:49 +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/17/t14819684115cn0pxbspaguv37.htm/, Retrieved Thu, 02 May 2024 05:13:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300654, Retrieved Thu, 02 May 2024 05:13:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2016-12-17 09:52:49] [349958aef20b862f8399a5ba04d6f6e3] [Current]
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Dataseries X:
990
1384
1350
716
2068
1392
734
758
558
1620
3132
1392
918
776
1348
502
1274
1638
912
1250
1614
2840
1150
1652
1526
1412
882
848
820
1226
1212
2110
1178
2548
1568
2088
2178
3016
5514
1358
3604
1962
2036
2246
3434
4316
3032
5296
3850
2098
3992
4860
7336
9614
2988
2756
3540
2710
3730
3508
2640
2788
3502
3700
3250
4866
2836
3498
3468
3924
5738
7028
5608
6030
11976
7774
7906
10940
7626
5930
6286
6788
6932
6660
4910
4182
3550
3184
3872
3226
2504
3648
4448
2954
3842
3982
4864
6796
5844
5656
6118
7068
7696
7016
5820
4904
3860
7222
7738
7142
13804
7964
9716
8462
6884
8072
7320
11700
10792
10930
7112
8196
16818
10524
14878
13696




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=300654&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=300654&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300654&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
alpha0.354124864877795
beta0
gamma0.476946796790862

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.354124864877795 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.476946796790862 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300654&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]0.354124864877795[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.476946796790862[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300654&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300654&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
alpha0.354124864877795
beta0
gamma0.476946796790862







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13918993.691650596905-75.6916505969047
14776802.805622945996-26.8056229459955
1513481316.7925100283631.2074899716411
16502463.45668616760338.5433138323965
1712741244.0360382200229.9639617799799
1816381708.70019332211-70.7001933221118
19912742.945187766602169.054812233398
201250850.409280475994399.590719524006
211614747.207861133639866.792138866361
2228403089.55545568933-249.555455689325
2311506014.84272079239-4864.84272079239
2416521950.35488591041-298.354885910407
2515261174.43709001657351.562909983426
2614121092.29330769053319.706692309472
278822033.4204775985-1151.4204775985
28848576.886586640251271.113413359749
298201722.48155492266-902.481554922663
3012261871.30537081987-645.305370819866
311212782.086891642114429.913108357886
3221101044.417095012781065.58290498722
3311781193.22886698755-15.2288669875477
3425482707.3301925485-159.330192548498
3515683549.6410182629-1981.6410182629
3620881889.15786020684198.842139793156
3721781421.90784984632756.092150153676
3830161417.87463164811598.1253683519
3955142416.090309829313097.90969017069
4013581788.23902369066-430.239023690662
4136042981.87772649291622.122273507088
4219624670.62153988987-2708.62153988987
4320362288.8968530327-252.896853032704
4422462645.38921163604-399.389211636036
4534341699.171787648761734.82821235124
4643165189.04247684642-873.042476846418
4730325223.81612975158-2191.81612975158
4852963866.11371106241429.8862889376
4938503494.51307589331355.486924106686
5020983328.28770973083-1230.28770973083
5139923588.18270010601403.817299893988
5248601372.891653778923487.10834622108
5373365478.62706765131857.3729323487
5496146542.379142327893071.62085767211
5529885849.01672838137-2861.01672838137
5627565728.1838120974-2972.1838120974
5735404103.82893063941-563.828930639408
5827106718.99419405378-4008.99419405378
5937305091.31172444048-1361.31172444048
6035085197.90103069121-1689.90103069121
6126403440.76554211954-800.765542119541
6227882448.77920632857339.22079367143
6335023789.21777707929-287.217777079291
6437001854.053619731681845.94638026832
6532504080.98599280717-830.985992807165
6648664153.31087848199712.689121518012
6728362458.57552980837377.424470191631
6834983020.85221947394477.14778052606
6934683327.12437508174140.87562491826
7039244665.40973492662-741.409734926616
7157385013.07668203901724.923317960991
7270285796.004968961681231.99503103832
7356084843.85161890733764.148381092667
7460304474.773231099251555.22676890075
75119766946.792951407495029.20704859251
7677745510.184436802092263.81556319791
7779067801.99497444789104.005025552108
78109409673.430789660611266.56921033939
7976265617.859680907952008.14031909205
8059307379.09796950899-1449.09796950899
8162866929.95767583234-643.957675832336
8267888662.44578885124-1874.44578885124
83693210006.9080799677-3074.90807996774
8466609978.48244509108-3318.48244509108
8549106744.46795185243-1834.46795185243
8641825583.21612584039-1401.21612584039
8735507559.89421918881-4009.89421918881
8831843657.43689676923-473.436896769227
8938723902.75648657381-30.7564865738141
9032264970.61304847166-1744.61304847166
9125042555.66603738964-51.6660373896402
9236482521.989573841241126.01042615876
9344483061.65494182291386.3450581771
9429544392.38259148593-1438.38259148593
9538424682.41019005216-840.410190052155
9639824854.57006822096-872.570068220963
9748643576.680727176121287.31927282388
9867963727.271403641883068.72859635812
9958446244.53634770393-400.536347703933
10056564359.64827315561296.3517268444
10161185608.20547537046509.794524629538
10270686493.64285737445574.357142625546
10376964455.087734486083240.91226551392
10470166264.65910385961751.340896140391
10558206850.56040013245-1030.56040013245
10649046338.85767672249-1434.85767672249
10738607464.57567431342-3604.57567431342
10872226847.54963123523374.450368764774
10977386408.254878611431329.74512138857
11071426922.95233725498219.047662745024
111138047435.665200779456368.33479922055
11279647648.62965818162315.37034181838
11397168564.432396460731151.56760353927
114846210055.0642565616-1593.06425656164
11568847245.64942450182-361.649424501825
11680726993.852389075311078.14761092469
11773207105.94868003391214.051319966086
118117006820.406268200524879.59373179948
119107929714.104063935381077.89593606462
1201093013833.9171388953-2903.91713889531
121711212249.4518267163-5137.4518267163
12281969999.85425598934-1803.85425598934
1231681811839.39289002214978.60710997791
124105249039.50367153191484.4963284681
1251487810836.93520648654041.06479351351
1261369612540.17379567421155.82620432579

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 918 & 993.691650596905 & -75.6916505969047 \tabularnewline
14 & 776 & 802.805622945996 & -26.8056229459955 \tabularnewline
15 & 1348 & 1316.79251002836 & 31.2074899716411 \tabularnewline
16 & 502 & 463.456686167603 & 38.5433138323965 \tabularnewline
17 & 1274 & 1244.03603822002 & 29.9639617799799 \tabularnewline
18 & 1638 & 1708.70019332211 & -70.7001933221118 \tabularnewline
19 & 912 & 742.945187766602 & 169.054812233398 \tabularnewline
20 & 1250 & 850.409280475994 & 399.590719524006 \tabularnewline
21 & 1614 & 747.207861133639 & 866.792138866361 \tabularnewline
22 & 2840 & 3089.55545568933 & -249.555455689325 \tabularnewline
23 & 1150 & 6014.84272079239 & -4864.84272079239 \tabularnewline
24 & 1652 & 1950.35488591041 & -298.354885910407 \tabularnewline
25 & 1526 & 1174.43709001657 & 351.562909983426 \tabularnewline
26 & 1412 & 1092.29330769053 & 319.706692309472 \tabularnewline
27 & 882 & 2033.4204775985 & -1151.4204775985 \tabularnewline
28 & 848 & 576.886586640251 & 271.113413359749 \tabularnewline
29 & 820 & 1722.48155492266 & -902.481554922663 \tabularnewline
30 & 1226 & 1871.30537081987 & -645.305370819866 \tabularnewline
31 & 1212 & 782.086891642114 & 429.913108357886 \tabularnewline
32 & 2110 & 1044.41709501278 & 1065.58290498722 \tabularnewline
33 & 1178 & 1193.22886698755 & -15.2288669875477 \tabularnewline
34 & 2548 & 2707.3301925485 & -159.330192548498 \tabularnewline
35 & 1568 & 3549.6410182629 & -1981.6410182629 \tabularnewline
36 & 2088 & 1889.15786020684 & 198.842139793156 \tabularnewline
37 & 2178 & 1421.90784984632 & 756.092150153676 \tabularnewline
38 & 3016 & 1417.8746316481 & 1598.1253683519 \tabularnewline
39 & 5514 & 2416.09030982931 & 3097.90969017069 \tabularnewline
40 & 1358 & 1788.23902369066 & -430.239023690662 \tabularnewline
41 & 3604 & 2981.87772649291 & 622.122273507088 \tabularnewline
42 & 1962 & 4670.62153988987 & -2708.62153988987 \tabularnewline
43 & 2036 & 2288.8968530327 & -252.896853032704 \tabularnewline
44 & 2246 & 2645.38921163604 & -399.389211636036 \tabularnewline
45 & 3434 & 1699.17178764876 & 1734.82821235124 \tabularnewline
46 & 4316 & 5189.04247684642 & -873.042476846418 \tabularnewline
47 & 3032 & 5223.81612975158 & -2191.81612975158 \tabularnewline
48 & 5296 & 3866.1137110624 & 1429.8862889376 \tabularnewline
49 & 3850 & 3494.51307589331 & 355.486924106686 \tabularnewline
50 & 2098 & 3328.28770973083 & -1230.28770973083 \tabularnewline
51 & 3992 & 3588.18270010601 & 403.817299893988 \tabularnewline
52 & 4860 & 1372.89165377892 & 3487.10834622108 \tabularnewline
53 & 7336 & 5478.6270676513 & 1857.3729323487 \tabularnewline
54 & 9614 & 6542.37914232789 & 3071.62085767211 \tabularnewline
55 & 2988 & 5849.01672838137 & -2861.01672838137 \tabularnewline
56 & 2756 & 5728.1838120974 & -2972.1838120974 \tabularnewline
57 & 3540 & 4103.82893063941 & -563.828930639408 \tabularnewline
58 & 2710 & 6718.99419405378 & -4008.99419405378 \tabularnewline
59 & 3730 & 5091.31172444048 & -1361.31172444048 \tabularnewline
60 & 3508 & 5197.90103069121 & -1689.90103069121 \tabularnewline
61 & 2640 & 3440.76554211954 & -800.765542119541 \tabularnewline
62 & 2788 & 2448.77920632857 & 339.22079367143 \tabularnewline
63 & 3502 & 3789.21777707929 & -287.217777079291 \tabularnewline
64 & 3700 & 1854.05361973168 & 1845.94638026832 \tabularnewline
65 & 3250 & 4080.98599280717 & -830.985992807165 \tabularnewline
66 & 4866 & 4153.31087848199 & 712.689121518012 \tabularnewline
67 & 2836 & 2458.57552980837 & 377.424470191631 \tabularnewline
68 & 3498 & 3020.85221947394 & 477.14778052606 \tabularnewline
69 & 3468 & 3327.12437508174 & 140.87562491826 \tabularnewline
70 & 3924 & 4665.40973492662 & -741.409734926616 \tabularnewline
71 & 5738 & 5013.07668203901 & 724.923317960991 \tabularnewline
72 & 7028 & 5796.00496896168 & 1231.99503103832 \tabularnewline
73 & 5608 & 4843.85161890733 & 764.148381092667 \tabularnewline
74 & 6030 & 4474.77323109925 & 1555.22676890075 \tabularnewline
75 & 11976 & 6946.79295140749 & 5029.20704859251 \tabularnewline
76 & 7774 & 5510.18443680209 & 2263.81556319791 \tabularnewline
77 & 7906 & 7801.99497444789 & 104.005025552108 \tabularnewline
78 & 10940 & 9673.43078966061 & 1266.56921033939 \tabularnewline
79 & 7626 & 5617.85968090795 & 2008.14031909205 \tabularnewline
80 & 5930 & 7379.09796950899 & -1449.09796950899 \tabularnewline
81 & 6286 & 6929.95767583234 & -643.957675832336 \tabularnewline
82 & 6788 & 8662.44578885124 & -1874.44578885124 \tabularnewline
83 & 6932 & 10006.9080799677 & -3074.90807996774 \tabularnewline
84 & 6660 & 9978.48244509108 & -3318.48244509108 \tabularnewline
85 & 4910 & 6744.46795185243 & -1834.46795185243 \tabularnewline
86 & 4182 & 5583.21612584039 & -1401.21612584039 \tabularnewline
87 & 3550 & 7559.89421918881 & -4009.89421918881 \tabularnewline
88 & 3184 & 3657.43689676923 & -473.436896769227 \tabularnewline
89 & 3872 & 3902.75648657381 & -30.7564865738141 \tabularnewline
90 & 3226 & 4970.61304847166 & -1744.61304847166 \tabularnewline
91 & 2504 & 2555.66603738964 & -51.6660373896402 \tabularnewline
92 & 3648 & 2521.98957384124 & 1126.01042615876 \tabularnewline
93 & 4448 & 3061.6549418229 & 1386.3450581771 \tabularnewline
94 & 2954 & 4392.38259148593 & -1438.38259148593 \tabularnewline
95 & 3842 & 4682.41019005216 & -840.410190052155 \tabularnewline
96 & 3982 & 4854.57006822096 & -872.570068220963 \tabularnewline
97 & 4864 & 3576.68072717612 & 1287.31927282388 \tabularnewline
98 & 6796 & 3727.27140364188 & 3068.72859635812 \tabularnewline
99 & 5844 & 6244.53634770393 & -400.536347703933 \tabularnewline
100 & 5656 & 4359.6482731556 & 1296.3517268444 \tabularnewline
101 & 6118 & 5608.20547537046 & 509.794524629538 \tabularnewline
102 & 7068 & 6493.64285737445 & 574.357142625546 \tabularnewline
103 & 7696 & 4455.08773448608 & 3240.91226551392 \tabularnewline
104 & 7016 & 6264.65910385961 & 751.340896140391 \tabularnewline
105 & 5820 & 6850.56040013245 & -1030.56040013245 \tabularnewline
106 & 4904 & 6338.85767672249 & -1434.85767672249 \tabularnewline
107 & 3860 & 7464.57567431342 & -3604.57567431342 \tabularnewline
108 & 7222 & 6847.54963123523 & 374.450368764774 \tabularnewline
109 & 7738 & 6408.25487861143 & 1329.74512138857 \tabularnewline
110 & 7142 & 6922.95233725498 & 219.047662745024 \tabularnewline
111 & 13804 & 7435.66520077945 & 6368.33479922055 \tabularnewline
112 & 7964 & 7648.62965818162 & 315.37034181838 \tabularnewline
113 & 9716 & 8564.43239646073 & 1151.56760353927 \tabularnewline
114 & 8462 & 10055.0642565616 & -1593.06425656164 \tabularnewline
115 & 6884 & 7245.64942450182 & -361.649424501825 \tabularnewline
116 & 8072 & 6993.85238907531 & 1078.14761092469 \tabularnewline
117 & 7320 & 7105.94868003391 & 214.051319966086 \tabularnewline
118 & 11700 & 6820.40626820052 & 4879.59373179948 \tabularnewline
119 & 10792 & 9714.10406393538 & 1077.89593606462 \tabularnewline
120 & 10930 & 13833.9171388953 & -2903.91713889531 \tabularnewline
121 & 7112 & 12249.4518267163 & -5137.4518267163 \tabularnewline
122 & 8196 & 9999.85425598934 & -1803.85425598934 \tabularnewline
123 & 16818 & 11839.3928900221 & 4978.60710997791 \tabularnewline
124 & 10524 & 9039.5036715319 & 1484.4963284681 \tabularnewline
125 & 14878 & 10836.9352064865 & 4041.06479351351 \tabularnewline
126 & 13696 & 12540.1737956742 & 1155.82620432579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300654&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]918[/C][C]993.691650596905[/C][C]-75.6916505969047[/C][/ROW]
[ROW][C]14[/C][C]776[/C][C]802.805622945996[/C][C]-26.8056229459955[/C][/ROW]
[ROW][C]15[/C][C]1348[/C][C]1316.79251002836[/C][C]31.2074899716411[/C][/ROW]
[ROW][C]16[/C][C]502[/C][C]463.456686167603[/C][C]38.5433138323965[/C][/ROW]
[ROW][C]17[/C][C]1274[/C][C]1244.03603822002[/C][C]29.9639617799799[/C][/ROW]
[ROW][C]18[/C][C]1638[/C][C]1708.70019332211[/C][C]-70.7001933221118[/C][/ROW]
[ROW][C]19[/C][C]912[/C][C]742.945187766602[/C][C]169.054812233398[/C][/ROW]
[ROW][C]20[/C][C]1250[/C][C]850.409280475994[/C][C]399.590719524006[/C][/ROW]
[ROW][C]21[/C][C]1614[/C][C]747.207861133639[/C][C]866.792138866361[/C][/ROW]
[ROW][C]22[/C][C]2840[/C][C]3089.55545568933[/C][C]-249.555455689325[/C][/ROW]
[ROW][C]23[/C][C]1150[/C][C]6014.84272079239[/C][C]-4864.84272079239[/C][/ROW]
[ROW][C]24[/C][C]1652[/C][C]1950.35488591041[/C][C]-298.354885910407[/C][/ROW]
[ROW][C]25[/C][C]1526[/C][C]1174.43709001657[/C][C]351.562909983426[/C][/ROW]
[ROW][C]26[/C][C]1412[/C][C]1092.29330769053[/C][C]319.706692309472[/C][/ROW]
[ROW][C]27[/C][C]882[/C][C]2033.4204775985[/C][C]-1151.4204775985[/C][/ROW]
[ROW][C]28[/C][C]848[/C][C]576.886586640251[/C][C]271.113413359749[/C][/ROW]
[ROW][C]29[/C][C]820[/C][C]1722.48155492266[/C][C]-902.481554922663[/C][/ROW]
[ROW][C]30[/C][C]1226[/C][C]1871.30537081987[/C][C]-645.305370819866[/C][/ROW]
[ROW][C]31[/C][C]1212[/C][C]782.086891642114[/C][C]429.913108357886[/C][/ROW]
[ROW][C]32[/C][C]2110[/C][C]1044.41709501278[/C][C]1065.58290498722[/C][/ROW]
[ROW][C]33[/C][C]1178[/C][C]1193.22886698755[/C][C]-15.2288669875477[/C][/ROW]
[ROW][C]34[/C][C]2548[/C][C]2707.3301925485[/C][C]-159.330192548498[/C][/ROW]
[ROW][C]35[/C][C]1568[/C][C]3549.6410182629[/C][C]-1981.6410182629[/C][/ROW]
[ROW][C]36[/C][C]2088[/C][C]1889.15786020684[/C][C]198.842139793156[/C][/ROW]
[ROW][C]37[/C][C]2178[/C][C]1421.90784984632[/C][C]756.092150153676[/C][/ROW]
[ROW][C]38[/C][C]3016[/C][C]1417.8746316481[/C][C]1598.1253683519[/C][/ROW]
[ROW][C]39[/C][C]5514[/C][C]2416.09030982931[/C][C]3097.90969017069[/C][/ROW]
[ROW][C]40[/C][C]1358[/C][C]1788.23902369066[/C][C]-430.239023690662[/C][/ROW]
[ROW][C]41[/C][C]3604[/C][C]2981.87772649291[/C][C]622.122273507088[/C][/ROW]
[ROW][C]42[/C][C]1962[/C][C]4670.62153988987[/C][C]-2708.62153988987[/C][/ROW]
[ROW][C]43[/C][C]2036[/C][C]2288.8968530327[/C][C]-252.896853032704[/C][/ROW]
[ROW][C]44[/C][C]2246[/C][C]2645.38921163604[/C][C]-399.389211636036[/C][/ROW]
[ROW][C]45[/C][C]3434[/C][C]1699.17178764876[/C][C]1734.82821235124[/C][/ROW]
[ROW][C]46[/C][C]4316[/C][C]5189.04247684642[/C][C]-873.042476846418[/C][/ROW]
[ROW][C]47[/C][C]3032[/C][C]5223.81612975158[/C][C]-2191.81612975158[/C][/ROW]
[ROW][C]48[/C][C]5296[/C][C]3866.1137110624[/C][C]1429.8862889376[/C][/ROW]
[ROW][C]49[/C][C]3850[/C][C]3494.51307589331[/C][C]355.486924106686[/C][/ROW]
[ROW][C]50[/C][C]2098[/C][C]3328.28770973083[/C][C]-1230.28770973083[/C][/ROW]
[ROW][C]51[/C][C]3992[/C][C]3588.18270010601[/C][C]403.817299893988[/C][/ROW]
[ROW][C]52[/C][C]4860[/C][C]1372.89165377892[/C][C]3487.10834622108[/C][/ROW]
[ROW][C]53[/C][C]7336[/C][C]5478.6270676513[/C][C]1857.3729323487[/C][/ROW]
[ROW][C]54[/C][C]9614[/C][C]6542.37914232789[/C][C]3071.62085767211[/C][/ROW]
[ROW][C]55[/C][C]2988[/C][C]5849.01672838137[/C][C]-2861.01672838137[/C][/ROW]
[ROW][C]56[/C][C]2756[/C][C]5728.1838120974[/C][C]-2972.1838120974[/C][/ROW]
[ROW][C]57[/C][C]3540[/C][C]4103.82893063941[/C][C]-563.828930639408[/C][/ROW]
[ROW][C]58[/C][C]2710[/C][C]6718.99419405378[/C][C]-4008.99419405378[/C][/ROW]
[ROW][C]59[/C][C]3730[/C][C]5091.31172444048[/C][C]-1361.31172444048[/C][/ROW]
[ROW][C]60[/C][C]3508[/C][C]5197.90103069121[/C][C]-1689.90103069121[/C][/ROW]
[ROW][C]61[/C][C]2640[/C][C]3440.76554211954[/C][C]-800.765542119541[/C][/ROW]
[ROW][C]62[/C][C]2788[/C][C]2448.77920632857[/C][C]339.22079367143[/C][/ROW]
[ROW][C]63[/C][C]3502[/C][C]3789.21777707929[/C][C]-287.217777079291[/C][/ROW]
[ROW][C]64[/C][C]3700[/C][C]1854.05361973168[/C][C]1845.94638026832[/C][/ROW]
[ROW][C]65[/C][C]3250[/C][C]4080.98599280717[/C][C]-830.985992807165[/C][/ROW]
[ROW][C]66[/C][C]4866[/C][C]4153.31087848199[/C][C]712.689121518012[/C][/ROW]
[ROW][C]67[/C][C]2836[/C][C]2458.57552980837[/C][C]377.424470191631[/C][/ROW]
[ROW][C]68[/C][C]3498[/C][C]3020.85221947394[/C][C]477.14778052606[/C][/ROW]
[ROW][C]69[/C][C]3468[/C][C]3327.12437508174[/C][C]140.87562491826[/C][/ROW]
[ROW][C]70[/C][C]3924[/C][C]4665.40973492662[/C][C]-741.409734926616[/C][/ROW]
[ROW][C]71[/C][C]5738[/C][C]5013.07668203901[/C][C]724.923317960991[/C][/ROW]
[ROW][C]72[/C][C]7028[/C][C]5796.00496896168[/C][C]1231.99503103832[/C][/ROW]
[ROW][C]73[/C][C]5608[/C][C]4843.85161890733[/C][C]764.148381092667[/C][/ROW]
[ROW][C]74[/C][C]6030[/C][C]4474.77323109925[/C][C]1555.22676890075[/C][/ROW]
[ROW][C]75[/C][C]11976[/C][C]6946.79295140749[/C][C]5029.20704859251[/C][/ROW]
[ROW][C]76[/C][C]7774[/C][C]5510.18443680209[/C][C]2263.81556319791[/C][/ROW]
[ROW][C]77[/C][C]7906[/C][C]7801.99497444789[/C][C]104.005025552108[/C][/ROW]
[ROW][C]78[/C][C]10940[/C][C]9673.43078966061[/C][C]1266.56921033939[/C][/ROW]
[ROW][C]79[/C][C]7626[/C][C]5617.85968090795[/C][C]2008.14031909205[/C][/ROW]
[ROW][C]80[/C][C]5930[/C][C]7379.09796950899[/C][C]-1449.09796950899[/C][/ROW]
[ROW][C]81[/C][C]6286[/C][C]6929.95767583234[/C][C]-643.957675832336[/C][/ROW]
[ROW][C]82[/C][C]6788[/C][C]8662.44578885124[/C][C]-1874.44578885124[/C][/ROW]
[ROW][C]83[/C][C]6932[/C][C]10006.9080799677[/C][C]-3074.90807996774[/C][/ROW]
[ROW][C]84[/C][C]6660[/C][C]9978.48244509108[/C][C]-3318.48244509108[/C][/ROW]
[ROW][C]85[/C][C]4910[/C][C]6744.46795185243[/C][C]-1834.46795185243[/C][/ROW]
[ROW][C]86[/C][C]4182[/C][C]5583.21612584039[/C][C]-1401.21612584039[/C][/ROW]
[ROW][C]87[/C][C]3550[/C][C]7559.89421918881[/C][C]-4009.89421918881[/C][/ROW]
[ROW][C]88[/C][C]3184[/C][C]3657.43689676923[/C][C]-473.436896769227[/C][/ROW]
[ROW][C]89[/C][C]3872[/C][C]3902.75648657381[/C][C]-30.7564865738141[/C][/ROW]
[ROW][C]90[/C][C]3226[/C][C]4970.61304847166[/C][C]-1744.61304847166[/C][/ROW]
[ROW][C]91[/C][C]2504[/C][C]2555.66603738964[/C][C]-51.6660373896402[/C][/ROW]
[ROW][C]92[/C][C]3648[/C][C]2521.98957384124[/C][C]1126.01042615876[/C][/ROW]
[ROW][C]93[/C][C]4448[/C][C]3061.6549418229[/C][C]1386.3450581771[/C][/ROW]
[ROW][C]94[/C][C]2954[/C][C]4392.38259148593[/C][C]-1438.38259148593[/C][/ROW]
[ROW][C]95[/C][C]3842[/C][C]4682.41019005216[/C][C]-840.410190052155[/C][/ROW]
[ROW][C]96[/C][C]3982[/C][C]4854.57006822096[/C][C]-872.570068220963[/C][/ROW]
[ROW][C]97[/C][C]4864[/C][C]3576.68072717612[/C][C]1287.31927282388[/C][/ROW]
[ROW][C]98[/C][C]6796[/C][C]3727.27140364188[/C][C]3068.72859635812[/C][/ROW]
[ROW][C]99[/C][C]5844[/C][C]6244.53634770393[/C][C]-400.536347703933[/C][/ROW]
[ROW][C]100[/C][C]5656[/C][C]4359.6482731556[/C][C]1296.3517268444[/C][/ROW]
[ROW][C]101[/C][C]6118[/C][C]5608.20547537046[/C][C]509.794524629538[/C][/ROW]
[ROW][C]102[/C][C]7068[/C][C]6493.64285737445[/C][C]574.357142625546[/C][/ROW]
[ROW][C]103[/C][C]7696[/C][C]4455.08773448608[/C][C]3240.91226551392[/C][/ROW]
[ROW][C]104[/C][C]7016[/C][C]6264.65910385961[/C][C]751.340896140391[/C][/ROW]
[ROW][C]105[/C][C]5820[/C][C]6850.56040013245[/C][C]-1030.56040013245[/C][/ROW]
[ROW][C]106[/C][C]4904[/C][C]6338.85767672249[/C][C]-1434.85767672249[/C][/ROW]
[ROW][C]107[/C][C]3860[/C][C]7464.57567431342[/C][C]-3604.57567431342[/C][/ROW]
[ROW][C]108[/C][C]7222[/C][C]6847.54963123523[/C][C]374.450368764774[/C][/ROW]
[ROW][C]109[/C][C]7738[/C][C]6408.25487861143[/C][C]1329.74512138857[/C][/ROW]
[ROW][C]110[/C][C]7142[/C][C]6922.95233725498[/C][C]219.047662745024[/C][/ROW]
[ROW][C]111[/C][C]13804[/C][C]7435.66520077945[/C][C]6368.33479922055[/C][/ROW]
[ROW][C]112[/C][C]7964[/C][C]7648.62965818162[/C][C]315.37034181838[/C][/ROW]
[ROW][C]113[/C][C]9716[/C][C]8564.43239646073[/C][C]1151.56760353927[/C][/ROW]
[ROW][C]114[/C][C]8462[/C][C]10055.0642565616[/C][C]-1593.06425656164[/C][/ROW]
[ROW][C]115[/C][C]6884[/C][C]7245.64942450182[/C][C]-361.649424501825[/C][/ROW]
[ROW][C]116[/C][C]8072[/C][C]6993.85238907531[/C][C]1078.14761092469[/C][/ROW]
[ROW][C]117[/C][C]7320[/C][C]7105.94868003391[/C][C]214.051319966086[/C][/ROW]
[ROW][C]118[/C][C]11700[/C][C]6820.40626820052[/C][C]4879.59373179948[/C][/ROW]
[ROW][C]119[/C][C]10792[/C][C]9714.10406393538[/C][C]1077.89593606462[/C][/ROW]
[ROW][C]120[/C][C]10930[/C][C]13833.9171388953[/C][C]-2903.91713889531[/C][/ROW]
[ROW][C]121[/C][C]7112[/C][C]12249.4518267163[/C][C]-5137.4518267163[/C][/ROW]
[ROW][C]122[/C][C]8196[/C][C]9999.85425598934[/C][C]-1803.85425598934[/C][/ROW]
[ROW][C]123[/C][C]16818[/C][C]11839.3928900221[/C][C]4978.60710997791[/C][/ROW]
[ROW][C]124[/C][C]10524[/C][C]9039.5036715319[/C][C]1484.4963284681[/C][/ROW]
[ROW][C]125[/C][C]14878[/C][C]10836.9352064865[/C][C]4041.06479351351[/C][/ROW]
[ROW][C]126[/C][C]13696[/C][C]12540.1737956742[/C][C]1155.82620432579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300654&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300654&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
13918993.691650596905-75.6916505969047
14776802.805622945996-26.8056229459955
1513481316.7925100283631.2074899716411
16502463.45668616760338.5433138323965
1712741244.0360382200229.9639617799799
1816381708.70019332211-70.7001933221118
19912742.945187766602169.054812233398
201250850.409280475994399.590719524006
211614747.207861133639866.792138866361
2228403089.55545568933-249.555455689325
2311506014.84272079239-4864.84272079239
2416521950.35488591041-298.354885910407
2515261174.43709001657351.562909983426
2614121092.29330769053319.706692309472
278822033.4204775985-1151.4204775985
28848576.886586640251271.113413359749
298201722.48155492266-902.481554922663
3012261871.30537081987-645.305370819866
311212782.086891642114429.913108357886
3221101044.417095012781065.58290498722
3311781193.22886698755-15.2288669875477
3425482707.3301925485-159.330192548498
3515683549.6410182629-1981.6410182629
3620881889.15786020684198.842139793156
3721781421.90784984632756.092150153676
3830161417.87463164811598.1253683519
3955142416.090309829313097.90969017069
4013581788.23902369066-430.239023690662
4136042981.87772649291622.122273507088
4219624670.62153988987-2708.62153988987
4320362288.8968530327-252.896853032704
4422462645.38921163604-399.389211636036
4534341699.171787648761734.82821235124
4643165189.04247684642-873.042476846418
4730325223.81612975158-2191.81612975158
4852963866.11371106241429.8862889376
4938503494.51307589331355.486924106686
5020983328.28770973083-1230.28770973083
5139923588.18270010601403.817299893988
5248601372.891653778923487.10834622108
5373365478.62706765131857.3729323487
5496146542.379142327893071.62085767211
5529885849.01672838137-2861.01672838137
5627565728.1838120974-2972.1838120974
5735404103.82893063941-563.828930639408
5827106718.99419405378-4008.99419405378
5937305091.31172444048-1361.31172444048
6035085197.90103069121-1689.90103069121
6126403440.76554211954-800.765542119541
6227882448.77920632857339.22079367143
6335023789.21777707929-287.217777079291
6437001854.053619731681845.94638026832
6532504080.98599280717-830.985992807165
6648664153.31087848199712.689121518012
6728362458.57552980837377.424470191631
6834983020.85221947394477.14778052606
6934683327.12437508174140.87562491826
7039244665.40973492662-741.409734926616
7157385013.07668203901724.923317960991
7270285796.004968961681231.99503103832
7356084843.85161890733764.148381092667
7460304474.773231099251555.22676890075
75119766946.792951407495029.20704859251
7677745510.184436802092263.81556319791
7779067801.99497444789104.005025552108
78109409673.430789660611266.56921033939
7976265617.859680907952008.14031909205
8059307379.09796950899-1449.09796950899
8162866929.95767583234-643.957675832336
8267888662.44578885124-1874.44578885124
83693210006.9080799677-3074.90807996774
8466609978.48244509108-3318.48244509108
8549106744.46795185243-1834.46795185243
8641825583.21612584039-1401.21612584039
8735507559.89421918881-4009.89421918881
8831843657.43689676923-473.436896769227
8938723902.75648657381-30.7564865738141
9032264970.61304847166-1744.61304847166
9125042555.66603738964-51.6660373896402
9236482521.989573841241126.01042615876
9344483061.65494182291386.3450581771
9429544392.38259148593-1438.38259148593
9538424682.41019005216-840.410190052155
9639824854.57006822096-872.570068220963
9748643576.680727176121287.31927282388
9867963727.271403641883068.72859635812
9958446244.53634770393-400.536347703933
10056564359.64827315561296.3517268444
10161185608.20547537046509.794524629538
10270686493.64285737445574.357142625546
10376964455.087734486083240.91226551392
10470166264.65910385961751.340896140391
10558206850.56040013245-1030.56040013245
10649046338.85767672249-1434.85767672249
10738607464.57567431342-3604.57567431342
10872226847.54963123523374.450368764774
10977386408.254878611431329.74512138857
11071426922.95233725498219.047662745024
111138047435.665200779456368.33479922055
11279647648.62965818162315.37034181838
11397168564.432396460731151.56760353927
114846210055.0642565616-1593.06425656164
11568847245.64942450182-361.649424501825
11680726993.852389075311078.14761092469
11773207105.94868003391214.051319966086
118117006820.406268200524879.59373179948
119107929714.104063935381077.89593606462
1201093013833.9171388953-2903.91713889531
121711212249.4518267163-5137.4518267163
12281969999.85425598934-1803.85425598934
1231681811839.39289002214978.60710997791
124105249039.50367153191484.4963284681
1251487810836.93520648654041.06479351351
1261369612540.17379567421155.82620432579







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12710260.08303311187726.8578770338612793.3081891897
12810701.24418994277800.8643254152813601.6240544702
1299954.725457986476835.5694530020913073.8814629709
13011013.45377289437447.9896844695214578.917861319
13110993.3687712297183.9351948098114802.8023476483
13213565.05798044778925.6304583109518204.4855025844
13311833.10181458447440.0160405374116226.1875886313
13412578.62646986427779.231943292817378.0209964355
13518816.409063682211911.6617657525721.1563616145
13611773.54798537746949.0976077140916597.9983630407
13714021.05530057158284.5308727465519757.5797283964
13813369.39169015878278.6409098463218460.1424704711
13910309.30750987075179.0615955999115439.5534241414
14010752.56469343925307.6696238805516197.4597629978
14110002.44677183134644.2806279267115360.6129157359
14211066.2293727325158.1909863353916974.2677591285
14311046.02709744854994.0861422831117097.9680526139
14413630.0087927446365.0702341330520894.947351355

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 10260.0830331118 & 7726.85787703386 & 12793.3081891897 \tabularnewline
128 & 10701.2441899427 & 7800.86432541528 & 13601.6240544702 \tabularnewline
129 & 9954.72545798647 & 6835.56945300209 & 13073.8814629709 \tabularnewline
130 & 11013.4537728943 & 7447.98968446952 & 14578.917861319 \tabularnewline
131 & 10993.368771229 & 7183.93519480981 & 14802.8023476483 \tabularnewline
132 & 13565.0579804477 & 8925.63045831095 & 18204.4855025844 \tabularnewline
133 & 11833.1018145844 & 7440.01604053741 & 16226.1875886313 \tabularnewline
134 & 12578.6264698642 & 7779.2319432928 & 17378.0209964355 \tabularnewline
135 & 18816.4090636822 & 11911.66176575 & 25721.1563616145 \tabularnewline
136 & 11773.5479853774 & 6949.09760771409 & 16597.9983630407 \tabularnewline
137 & 14021.0553005715 & 8284.53087274655 & 19757.5797283964 \tabularnewline
138 & 13369.3916901587 & 8278.64090984632 & 18460.1424704711 \tabularnewline
139 & 10309.3075098707 & 5179.06159559991 & 15439.5534241414 \tabularnewline
140 & 10752.5646934392 & 5307.66962388055 & 16197.4597629978 \tabularnewline
141 & 10002.4467718313 & 4644.28062792671 & 15360.6129157359 \tabularnewline
142 & 11066.229372732 & 5158.19098633539 & 16974.2677591285 \tabularnewline
143 & 11046.0270974485 & 4994.08614228311 & 17097.9680526139 \tabularnewline
144 & 13630.008792744 & 6365.07023413305 & 20894.947351355 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300654&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]10260.0830331118[/C][C]7726.85787703386[/C][C]12793.3081891897[/C][/ROW]
[ROW][C]128[/C][C]10701.2441899427[/C][C]7800.86432541528[/C][C]13601.6240544702[/C][/ROW]
[ROW][C]129[/C][C]9954.72545798647[/C][C]6835.56945300209[/C][C]13073.8814629709[/C][/ROW]
[ROW][C]130[/C][C]11013.4537728943[/C][C]7447.98968446952[/C][C]14578.917861319[/C][/ROW]
[ROW][C]131[/C][C]10993.368771229[/C][C]7183.93519480981[/C][C]14802.8023476483[/C][/ROW]
[ROW][C]132[/C][C]13565.0579804477[/C][C]8925.63045831095[/C][C]18204.4855025844[/C][/ROW]
[ROW][C]133[/C][C]11833.1018145844[/C][C]7440.01604053741[/C][C]16226.1875886313[/C][/ROW]
[ROW][C]134[/C][C]12578.6264698642[/C][C]7779.2319432928[/C][C]17378.0209964355[/C][/ROW]
[ROW][C]135[/C][C]18816.4090636822[/C][C]11911.66176575[/C][C]25721.1563616145[/C][/ROW]
[ROW][C]136[/C][C]11773.5479853774[/C][C]6949.09760771409[/C][C]16597.9983630407[/C][/ROW]
[ROW][C]137[/C][C]14021.0553005715[/C][C]8284.53087274655[/C][C]19757.5797283964[/C][/ROW]
[ROW][C]138[/C][C]13369.3916901587[/C][C]8278.64090984632[/C][C]18460.1424704711[/C][/ROW]
[ROW][C]139[/C][C]10309.3075098707[/C][C]5179.06159559991[/C][C]15439.5534241414[/C][/ROW]
[ROW][C]140[/C][C]10752.5646934392[/C][C]5307.66962388055[/C][C]16197.4597629978[/C][/ROW]
[ROW][C]141[/C][C]10002.4467718313[/C][C]4644.28062792671[/C][C]15360.6129157359[/C][/ROW]
[ROW][C]142[/C][C]11066.229372732[/C][C]5158.19098633539[/C][C]16974.2677591285[/C][/ROW]
[ROW][C]143[/C][C]11046.0270974485[/C][C]4994.08614228311[/C][C]17097.9680526139[/C][/ROW]
[ROW][C]144[/C][C]13630.008792744[/C][C]6365.07023413305[/C][C]20894.947351355[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300654&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300654&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
12710260.08303311187726.8578770338612793.3081891897
12810701.24418994277800.8643254152813601.6240544702
1299954.725457986476835.5694530020913073.8814629709
13011013.45377289437447.9896844695214578.917861319
13110993.3687712297183.9351948098114802.8023476483
13213565.05798044778925.6304583109518204.4855025844
13311833.10181458447440.0160405374116226.1875886313
13412578.62646986427779.231943292817378.0209964355
13518816.409063682211911.6617657525721.1563616145
13611773.54798537746949.0976077140916597.9983630407
13714021.05530057158284.5308727465519757.5797283964
13813369.39169015878278.6409098463218460.1424704711
13910309.30750987075179.0615955999115439.5534241414
14010752.56469343925307.6696238805516197.4597629978
14110002.44677183134644.2806279267115360.6129157359
14211066.2293727325158.1909863353916974.2677591285
14311046.02709744854994.0861422831117097.9680526139
14413630.0087927446365.0702341330520894.947351355



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 18 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 18 ;
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')