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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, 29 Dec 2010 09:43:45 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/29/t1293615798ewh7702p1aybc9d.htm/, Retrieved Fri, 03 May 2024 03:55:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116651, Retrieved Fri, 03 May 2024 03:55:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [] [2010-12-28 13:04:20] [14bb7b0a8b81eed6207eeab240457b45]
-         [Exponential Smoothing] [Exponential Smoot...] [2010-12-29 09:43:45] [186d70462ffc26ec970915be294cb975] [Current]
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Dataseries X:
1775
2197
2920
4240
5415
6136
6719
6234
7152
3646
2165
2803
1615
2350
3350
3536
5834
6767
5993
7276
5641
3477
2247
2466
1567
2237
2598
3729
5715
5776
5852
6878
5488
3583
2054
2282
1552
2261
2446
3519
5161
5085
5711
6057
5224
3363
1899
2115
1491
2061
2419
3430
4778
4862
6176
5664
5529
3418
1941
2402
1579
2146
2462
3695
4831
5134
6250
5760
6249
2917
1741
2359
1511
2059
2635
2867
4403
5720
4502
5749
5627
2846
1762
2429
1169
2154
2249
2687
4359
5382
4459
6398
4596
3024
1887
2070
1351
2218
2461
3028
4784
4975
4607
6249
4809
3157
1910
2228
1594
2467
2222
3607
4685
4962
5770
5480
5000
3228
1993
2288
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116651&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116651&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116651&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0535977728080357
beta0.000530028422734916
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0535977728080357 \tabularnewline
beta & 0.000530028422734916 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116651&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]0.0535977728080357[/C][/ROW]
[ROW][C]beta[/C][C]0.000530028422734916[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116651&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116651&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
alpha0.0535977728080357
beta0.000530028422734916
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1316151538.1907051282176.8092948717931
1423502260.434111538589.5658884614995
1533503281.0721207056368.9278792943678
1635363537.06427000638-1.06427000638359
1758345834.92996575642-0.929965756420643
1867676774.80283349635-7.80283349634556
1959936672.55710916704-679.557109167037
2072766147.704213362741128.29578663726
2156417098.19692601847-1457.19692601847
2234773521.77992444771-44.7799244477064
2322472046.52238964722200.477610352776
2424662647.79080771315-181.790807713152
2515671522.9661466493244.0338533506792
2622372255.50181624142-18.5018162414208
2725983250.78879452445-652.788794524454
2837293401.81032399214327.189676007861
2957155717.35864362219-2.35864362219036
3057766650.61223710473-874.612237104733
3158525866.09488908419-14.0948890841892
3268787087.82137027955-209.821370279547
3354885519.59598532189-31.5959853218883
3435833356.2611774559226.738822544102
3520542127.63499569831-73.6349956983131
3622822352.39039501135-70.3903950113454
3715521447.21916351783104.780836482169
3822612123.79021822474137.209781775262
3924462527.10018503946-81.1001850394614
4035193636.20080115686-117.200801156859
4151615616.01693622107-455.016936221075
4250855699.46486948967-614.464869489669
4357115743.25232569529-32.2523256952891
4460576778.73506519813-721.735065198128
4552245351.69603916262-127.696039162623
4633633427.64728149998-64.6472814999765
4718991899.06888669762-0.068886697616108
4821152130.77993654896-15.7799365489645
4914911394.2616726443596.7383273556547
5020612101.03578936866-40.0357893686601
5124192288.17501080885130.824989191147
5234303374.4129225040255.5870774959753
5347785043.72935077699-265.729350776988
5448624986.37536557658-124.375365576579
5561765607.40626614289568.593733857108
5656646022.55057533152-358.550575331516
5755295177.17316318898351.826836811018
5834183338.5047476517279.4952523482793
5919411878.7828024395962.217197560411
6024022098.97863869733303.021361302675
6115791486.0593700856592.940629914353
6221462063.2109223095982.78907769041
6324622418.6641060036843.3358939963173
6436953429.03278599895265.967214001049
6548314805.5618303769225.4381696230757
6651344897.6310664831236.368933516904
6762506193.8743695440256.1256304559829
6857605704.1353446718155.8646553281851
6962495553.31945782004695.680542179962
7029173475.4024122172-558.4024122172
7117411965.17725698159-224.177256981593
7223592397.95112283166-38.9511228316551
7315111567.90284137867-56.9028413786732
7420592127.43223157852-68.4322315785166
7526352437.45397897118197.546021028818
7628673666.80340626359-799.803406263588
7744034758.55866983873-355.558669838734
7857205029.80821921765690.191780782354
7945026179.78119562558-1677.78119562558
8057495596.80082469422152.199175305781
8156276056.61335608884-429.613356088836
8228462731.42611714609114.573882853915
8317621573.51149640558188.488503594418
8424292203.64254960891225.357450391094
8511691370.71937694711-201.719376947109
8621541911.51967316080242.480326839205
8722492489.88107473489-240.881074734888
8826872751.77863475017-64.7786347501728
8943594303.3252457164455.6747542835556
9053825586.28967745597-204.289677455972
9144594447.2132615139811.7867384860228
9263985686.68318588384711.316814116162
9345965625.84610379992-1029.84610379992
9430242783.50229160411240.497708395894
9518871702.28799668004184.712003319959
9620702367.10751149119-297.107511491186
9713511101.97809781242249.021902187579
9822182087.32469437971130.675305620286
9924612202.23209534194258.767904658057
10030282657.58046995612370.419530043876
10147844346.46945290073437.530547099273
10249755403.89979933126-428.899799331258
10346074457.30381344760149.696186552395
10462496366.22994747587-117.229947475873
10548094613.14835207163195.85164792837
10631573038.7944538962118.205546103800
10719101898.2654130246511.7345869753472
10822282097.84930476264130.150695237362
10915941372.52085362760221.479146372397
11024672244.42973561878222.570264381223
11122222485.53423166698-263.534231666984
11236073018.58549318573588.414506814272
11346854782.7085014647-97.7085014647
11449624991.48037623507-29.4803762350712
11557704613.909017205551156.09098279445
11654806324.21687882173-844.216878821731
11750004828.51156540994171.488434590063
11832283179.4067606328048.593239367196
11919931934.4196758106558.5803241893482
12022882248.6223676341439.3776323658581
12115881604.89825765683-16.8982576568255
12221052465.09263190931-360.092631909306
12321912214.93011791436-23.9301179143608
12435913567.1294177977323.8705822022721
12546684651.6493561046716.3506438953264
12648854931.11260714286-46.1126071428598
12758225674.68351019995147.316489800049
12855995437.80517075069161.194829249307
12953404957.25969883867382.740301161328
13030823203.18148086508-121.181480865077
13120101958.5540691836251.4459308163841
13223012254.2081211312646.7918788687393

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1615 & 1538.19070512821 & 76.8092948717931 \tabularnewline
14 & 2350 & 2260.4341115385 & 89.5658884614995 \tabularnewline
15 & 3350 & 3281.07212070563 & 68.9278792943678 \tabularnewline
16 & 3536 & 3537.06427000638 & -1.06427000638359 \tabularnewline
17 & 5834 & 5834.92996575642 & -0.929965756420643 \tabularnewline
18 & 6767 & 6774.80283349635 & -7.80283349634556 \tabularnewline
19 & 5993 & 6672.55710916704 & -679.557109167037 \tabularnewline
20 & 7276 & 6147.70421336274 & 1128.29578663726 \tabularnewline
21 & 5641 & 7098.19692601847 & -1457.19692601847 \tabularnewline
22 & 3477 & 3521.77992444771 & -44.7799244477064 \tabularnewline
23 & 2247 & 2046.52238964722 & 200.477610352776 \tabularnewline
24 & 2466 & 2647.79080771315 & -181.790807713152 \tabularnewline
25 & 1567 & 1522.96614664932 & 44.0338533506792 \tabularnewline
26 & 2237 & 2255.50181624142 & -18.5018162414208 \tabularnewline
27 & 2598 & 3250.78879452445 & -652.788794524454 \tabularnewline
28 & 3729 & 3401.81032399214 & 327.189676007861 \tabularnewline
29 & 5715 & 5717.35864362219 & -2.35864362219036 \tabularnewline
30 & 5776 & 6650.61223710473 & -874.612237104733 \tabularnewline
31 & 5852 & 5866.09488908419 & -14.0948890841892 \tabularnewline
32 & 6878 & 7087.82137027955 & -209.821370279547 \tabularnewline
33 & 5488 & 5519.59598532189 & -31.5959853218883 \tabularnewline
34 & 3583 & 3356.2611774559 & 226.738822544102 \tabularnewline
35 & 2054 & 2127.63499569831 & -73.6349956983131 \tabularnewline
36 & 2282 & 2352.39039501135 & -70.3903950113454 \tabularnewline
37 & 1552 & 1447.21916351783 & 104.780836482169 \tabularnewline
38 & 2261 & 2123.79021822474 & 137.209781775262 \tabularnewline
39 & 2446 & 2527.10018503946 & -81.1001850394614 \tabularnewline
40 & 3519 & 3636.20080115686 & -117.200801156859 \tabularnewline
41 & 5161 & 5616.01693622107 & -455.016936221075 \tabularnewline
42 & 5085 & 5699.46486948967 & -614.464869489669 \tabularnewline
43 & 5711 & 5743.25232569529 & -32.2523256952891 \tabularnewline
44 & 6057 & 6778.73506519813 & -721.735065198128 \tabularnewline
45 & 5224 & 5351.69603916262 & -127.696039162623 \tabularnewline
46 & 3363 & 3427.64728149998 & -64.6472814999765 \tabularnewline
47 & 1899 & 1899.06888669762 & -0.068886697616108 \tabularnewline
48 & 2115 & 2130.77993654896 & -15.7799365489645 \tabularnewline
49 & 1491 & 1394.26167264435 & 96.7383273556547 \tabularnewline
50 & 2061 & 2101.03578936866 & -40.0357893686601 \tabularnewline
51 & 2419 & 2288.17501080885 & 130.824989191147 \tabularnewline
52 & 3430 & 3374.41292250402 & 55.5870774959753 \tabularnewline
53 & 4778 & 5043.72935077699 & -265.729350776988 \tabularnewline
54 & 4862 & 4986.37536557658 & -124.375365576579 \tabularnewline
55 & 6176 & 5607.40626614289 & 568.593733857108 \tabularnewline
56 & 5664 & 6022.55057533152 & -358.550575331516 \tabularnewline
57 & 5529 & 5177.17316318898 & 351.826836811018 \tabularnewline
58 & 3418 & 3338.50474765172 & 79.4952523482793 \tabularnewline
59 & 1941 & 1878.78280243959 & 62.217197560411 \tabularnewline
60 & 2402 & 2098.97863869733 & 303.021361302675 \tabularnewline
61 & 1579 & 1486.05937008565 & 92.940629914353 \tabularnewline
62 & 2146 & 2063.21092230959 & 82.78907769041 \tabularnewline
63 & 2462 & 2418.66410600368 & 43.3358939963173 \tabularnewline
64 & 3695 & 3429.03278599895 & 265.967214001049 \tabularnewline
65 & 4831 & 4805.56183037692 & 25.4381696230757 \tabularnewline
66 & 5134 & 4897.6310664831 & 236.368933516904 \tabularnewline
67 & 6250 & 6193.87436954402 & 56.1256304559829 \tabularnewline
68 & 5760 & 5704.13534467181 & 55.8646553281851 \tabularnewline
69 & 6249 & 5553.31945782004 & 695.680542179962 \tabularnewline
70 & 2917 & 3475.4024122172 & -558.4024122172 \tabularnewline
71 & 1741 & 1965.17725698159 & -224.177256981593 \tabularnewline
72 & 2359 & 2397.95112283166 & -38.9511228316551 \tabularnewline
73 & 1511 & 1567.90284137867 & -56.9028413786732 \tabularnewline
74 & 2059 & 2127.43223157852 & -68.4322315785166 \tabularnewline
75 & 2635 & 2437.45397897118 & 197.546021028818 \tabularnewline
76 & 2867 & 3666.80340626359 & -799.803406263588 \tabularnewline
77 & 4403 & 4758.55866983873 & -355.558669838734 \tabularnewline
78 & 5720 & 5029.80821921765 & 690.191780782354 \tabularnewline
79 & 4502 & 6179.78119562558 & -1677.78119562558 \tabularnewline
80 & 5749 & 5596.80082469422 & 152.199175305781 \tabularnewline
81 & 5627 & 6056.61335608884 & -429.613356088836 \tabularnewline
82 & 2846 & 2731.42611714609 & 114.573882853915 \tabularnewline
83 & 1762 & 1573.51149640558 & 188.488503594418 \tabularnewline
84 & 2429 & 2203.64254960891 & 225.357450391094 \tabularnewline
85 & 1169 & 1370.71937694711 & -201.719376947109 \tabularnewline
86 & 2154 & 1911.51967316080 & 242.480326839205 \tabularnewline
87 & 2249 & 2489.88107473489 & -240.881074734888 \tabularnewline
88 & 2687 & 2751.77863475017 & -64.7786347501728 \tabularnewline
89 & 4359 & 4303.32524571644 & 55.6747542835556 \tabularnewline
90 & 5382 & 5586.28967745597 & -204.289677455972 \tabularnewline
91 & 4459 & 4447.21326151398 & 11.7867384860228 \tabularnewline
92 & 6398 & 5686.68318588384 & 711.316814116162 \tabularnewline
93 & 4596 & 5625.84610379992 & -1029.84610379992 \tabularnewline
94 & 3024 & 2783.50229160411 & 240.497708395894 \tabularnewline
95 & 1887 & 1702.28799668004 & 184.712003319959 \tabularnewline
96 & 2070 & 2367.10751149119 & -297.107511491186 \tabularnewline
97 & 1351 & 1101.97809781242 & 249.021902187579 \tabularnewline
98 & 2218 & 2087.32469437971 & 130.675305620286 \tabularnewline
99 & 2461 & 2202.23209534194 & 258.767904658057 \tabularnewline
100 & 3028 & 2657.58046995612 & 370.419530043876 \tabularnewline
101 & 4784 & 4346.46945290073 & 437.530547099273 \tabularnewline
102 & 4975 & 5403.89979933126 & -428.899799331258 \tabularnewline
103 & 4607 & 4457.30381344760 & 149.696186552395 \tabularnewline
104 & 6249 & 6366.22994747587 & -117.229947475873 \tabularnewline
105 & 4809 & 4613.14835207163 & 195.85164792837 \tabularnewline
106 & 3157 & 3038.7944538962 & 118.205546103800 \tabularnewline
107 & 1910 & 1898.26541302465 & 11.7345869753472 \tabularnewline
108 & 2228 & 2097.84930476264 & 130.150695237362 \tabularnewline
109 & 1594 & 1372.52085362760 & 221.479146372397 \tabularnewline
110 & 2467 & 2244.42973561878 & 222.570264381223 \tabularnewline
111 & 2222 & 2485.53423166698 & -263.534231666984 \tabularnewline
112 & 3607 & 3018.58549318573 & 588.414506814272 \tabularnewline
113 & 4685 & 4782.7085014647 & -97.7085014647 \tabularnewline
114 & 4962 & 4991.48037623507 & -29.4803762350712 \tabularnewline
115 & 5770 & 4613.90901720555 & 1156.09098279445 \tabularnewline
116 & 5480 & 6324.21687882173 & -844.216878821731 \tabularnewline
117 & 5000 & 4828.51156540994 & 171.488434590063 \tabularnewline
118 & 3228 & 3179.40676063280 & 48.593239367196 \tabularnewline
119 & 1993 & 1934.41967581065 & 58.5803241893482 \tabularnewline
120 & 2288 & 2248.62236763414 & 39.3776323658581 \tabularnewline
121 & 1588 & 1604.89825765683 & -16.8982576568255 \tabularnewline
122 & 2105 & 2465.09263190931 & -360.092631909306 \tabularnewline
123 & 2191 & 2214.93011791436 & -23.9301179143608 \tabularnewline
124 & 3591 & 3567.12941779773 & 23.8705822022721 \tabularnewline
125 & 4668 & 4651.64935610467 & 16.3506438953264 \tabularnewline
126 & 4885 & 4931.11260714286 & -46.1126071428598 \tabularnewline
127 & 5822 & 5674.68351019995 & 147.316489800049 \tabularnewline
128 & 5599 & 5437.80517075069 & 161.194829249307 \tabularnewline
129 & 5340 & 4957.25969883867 & 382.740301161328 \tabularnewline
130 & 3082 & 3203.18148086508 & -121.181480865077 \tabularnewline
131 & 2010 & 1958.55406918362 & 51.4459308163841 \tabularnewline
132 & 2301 & 2254.20812113126 & 46.7918788687393 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116651&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]1615[/C][C]1538.19070512821[/C][C]76.8092948717931[/C][/ROW]
[ROW][C]14[/C][C]2350[/C][C]2260.4341115385[/C][C]89.5658884614995[/C][/ROW]
[ROW][C]15[/C][C]3350[/C][C]3281.07212070563[/C][C]68.9278792943678[/C][/ROW]
[ROW][C]16[/C][C]3536[/C][C]3537.06427000638[/C][C]-1.06427000638359[/C][/ROW]
[ROW][C]17[/C][C]5834[/C][C]5834.92996575642[/C][C]-0.929965756420643[/C][/ROW]
[ROW][C]18[/C][C]6767[/C][C]6774.80283349635[/C][C]-7.80283349634556[/C][/ROW]
[ROW][C]19[/C][C]5993[/C][C]6672.55710916704[/C][C]-679.557109167037[/C][/ROW]
[ROW][C]20[/C][C]7276[/C][C]6147.70421336274[/C][C]1128.29578663726[/C][/ROW]
[ROW][C]21[/C][C]5641[/C][C]7098.19692601847[/C][C]-1457.19692601847[/C][/ROW]
[ROW][C]22[/C][C]3477[/C][C]3521.77992444771[/C][C]-44.7799244477064[/C][/ROW]
[ROW][C]23[/C][C]2247[/C][C]2046.52238964722[/C][C]200.477610352776[/C][/ROW]
[ROW][C]24[/C][C]2466[/C][C]2647.79080771315[/C][C]-181.790807713152[/C][/ROW]
[ROW][C]25[/C][C]1567[/C][C]1522.96614664932[/C][C]44.0338533506792[/C][/ROW]
[ROW][C]26[/C][C]2237[/C][C]2255.50181624142[/C][C]-18.5018162414208[/C][/ROW]
[ROW][C]27[/C][C]2598[/C][C]3250.78879452445[/C][C]-652.788794524454[/C][/ROW]
[ROW][C]28[/C][C]3729[/C][C]3401.81032399214[/C][C]327.189676007861[/C][/ROW]
[ROW][C]29[/C][C]5715[/C][C]5717.35864362219[/C][C]-2.35864362219036[/C][/ROW]
[ROW][C]30[/C][C]5776[/C][C]6650.61223710473[/C][C]-874.612237104733[/C][/ROW]
[ROW][C]31[/C][C]5852[/C][C]5866.09488908419[/C][C]-14.0948890841892[/C][/ROW]
[ROW][C]32[/C][C]6878[/C][C]7087.82137027955[/C][C]-209.821370279547[/C][/ROW]
[ROW][C]33[/C][C]5488[/C][C]5519.59598532189[/C][C]-31.5959853218883[/C][/ROW]
[ROW][C]34[/C][C]3583[/C][C]3356.2611774559[/C][C]226.738822544102[/C][/ROW]
[ROW][C]35[/C][C]2054[/C][C]2127.63499569831[/C][C]-73.6349956983131[/C][/ROW]
[ROW][C]36[/C][C]2282[/C][C]2352.39039501135[/C][C]-70.3903950113454[/C][/ROW]
[ROW][C]37[/C][C]1552[/C][C]1447.21916351783[/C][C]104.780836482169[/C][/ROW]
[ROW][C]38[/C][C]2261[/C][C]2123.79021822474[/C][C]137.209781775262[/C][/ROW]
[ROW][C]39[/C][C]2446[/C][C]2527.10018503946[/C][C]-81.1001850394614[/C][/ROW]
[ROW][C]40[/C][C]3519[/C][C]3636.20080115686[/C][C]-117.200801156859[/C][/ROW]
[ROW][C]41[/C][C]5161[/C][C]5616.01693622107[/C][C]-455.016936221075[/C][/ROW]
[ROW][C]42[/C][C]5085[/C][C]5699.46486948967[/C][C]-614.464869489669[/C][/ROW]
[ROW][C]43[/C][C]5711[/C][C]5743.25232569529[/C][C]-32.2523256952891[/C][/ROW]
[ROW][C]44[/C][C]6057[/C][C]6778.73506519813[/C][C]-721.735065198128[/C][/ROW]
[ROW][C]45[/C][C]5224[/C][C]5351.69603916262[/C][C]-127.696039162623[/C][/ROW]
[ROW][C]46[/C][C]3363[/C][C]3427.64728149998[/C][C]-64.6472814999765[/C][/ROW]
[ROW][C]47[/C][C]1899[/C][C]1899.06888669762[/C][C]-0.068886697616108[/C][/ROW]
[ROW][C]48[/C][C]2115[/C][C]2130.77993654896[/C][C]-15.7799365489645[/C][/ROW]
[ROW][C]49[/C][C]1491[/C][C]1394.26167264435[/C][C]96.7383273556547[/C][/ROW]
[ROW][C]50[/C][C]2061[/C][C]2101.03578936866[/C][C]-40.0357893686601[/C][/ROW]
[ROW][C]51[/C][C]2419[/C][C]2288.17501080885[/C][C]130.824989191147[/C][/ROW]
[ROW][C]52[/C][C]3430[/C][C]3374.41292250402[/C][C]55.5870774959753[/C][/ROW]
[ROW][C]53[/C][C]4778[/C][C]5043.72935077699[/C][C]-265.729350776988[/C][/ROW]
[ROW][C]54[/C][C]4862[/C][C]4986.37536557658[/C][C]-124.375365576579[/C][/ROW]
[ROW][C]55[/C][C]6176[/C][C]5607.40626614289[/C][C]568.593733857108[/C][/ROW]
[ROW][C]56[/C][C]5664[/C][C]6022.55057533152[/C][C]-358.550575331516[/C][/ROW]
[ROW][C]57[/C][C]5529[/C][C]5177.17316318898[/C][C]351.826836811018[/C][/ROW]
[ROW][C]58[/C][C]3418[/C][C]3338.50474765172[/C][C]79.4952523482793[/C][/ROW]
[ROW][C]59[/C][C]1941[/C][C]1878.78280243959[/C][C]62.217197560411[/C][/ROW]
[ROW][C]60[/C][C]2402[/C][C]2098.97863869733[/C][C]303.021361302675[/C][/ROW]
[ROW][C]61[/C][C]1579[/C][C]1486.05937008565[/C][C]92.940629914353[/C][/ROW]
[ROW][C]62[/C][C]2146[/C][C]2063.21092230959[/C][C]82.78907769041[/C][/ROW]
[ROW][C]63[/C][C]2462[/C][C]2418.66410600368[/C][C]43.3358939963173[/C][/ROW]
[ROW][C]64[/C][C]3695[/C][C]3429.03278599895[/C][C]265.967214001049[/C][/ROW]
[ROW][C]65[/C][C]4831[/C][C]4805.56183037692[/C][C]25.4381696230757[/C][/ROW]
[ROW][C]66[/C][C]5134[/C][C]4897.6310664831[/C][C]236.368933516904[/C][/ROW]
[ROW][C]67[/C][C]6250[/C][C]6193.87436954402[/C][C]56.1256304559829[/C][/ROW]
[ROW][C]68[/C][C]5760[/C][C]5704.13534467181[/C][C]55.8646553281851[/C][/ROW]
[ROW][C]69[/C][C]6249[/C][C]5553.31945782004[/C][C]695.680542179962[/C][/ROW]
[ROW][C]70[/C][C]2917[/C][C]3475.4024122172[/C][C]-558.4024122172[/C][/ROW]
[ROW][C]71[/C][C]1741[/C][C]1965.17725698159[/C][C]-224.177256981593[/C][/ROW]
[ROW][C]72[/C][C]2359[/C][C]2397.95112283166[/C][C]-38.9511228316551[/C][/ROW]
[ROW][C]73[/C][C]1511[/C][C]1567.90284137867[/C][C]-56.9028413786732[/C][/ROW]
[ROW][C]74[/C][C]2059[/C][C]2127.43223157852[/C][C]-68.4322315785166[/C][/ROW]
[ROW][C]75[/C][C]2635[/C][C]2437.45397897118[/C][C]197.546021028818[/C][/ROW]
[ROW][C]76[/C][C]2867[/C][C]3666.80340626359[/C][C]-799.803406263588[/C][/ROW]
[ROW][C]77[/C][C]4403[/C][C]4758.55866983873[/C][C]-355.558669838734[/C][/ROW]
[ROW][C]78[/C][C]5720[/C][C]5029.80821921765[/C][C]690.191780782354[/C][/ROW]
[ROW][C]79[/C][C]4502[/C][C]6179.78119562558[/C][C]-1677.78119562558[/C][/ROW]
[ROW][C]80[/C][C]5749[/C][C]5596.80082469422[/C][C]152.199175305781[/C][/ROW]
[ROW][C]81[/C][C]5627[/C][C]6056.61335608884[/C][C]-429.613356088836[/C][/ROW]
[ROW][C]82[/C][C]2846[/C][C]2731.42611714609[/C][C]114.573882853915[/C][/ROW]
[ROW][C]83[/C][C]1762[/C][C]1573.51149640558[/C][C]188.488503594418[/C][/ROW]
[ROW][C]84[/C][C]2429[/C][C]2203.64254960891[/C][C]225.357450391094[/C][/ROW]
[ROW][C]85[/C][C]1169[/C][C]1370.71937694711[/C][C]-201.719376947109[/C][/ROW]
[ROW][C]86[/C][C]2154[/C][C]1911.51967316080[/C][C]242.480326839205[/C][/ROW]
[ROW][C]87[/C][C]2249[/C][C]2489.88107473489[/C][C]-240.881074734888[/C][/ROW]
[ROW][C]88[/C][C]2687[/C][C]2751.77863475017[/C][C]-64.7786347501728[/C][/ROW]
[ROW][C]89[/C][C]4359[/C][C]4303.32524571644[/C][C]55.6747542835556[/C][/ROW]
[ROW][C]90[/C][C]5382[/C][C]5586.28967745597[/C][C]-204.289677455972[/C][/ROW]
[ROW][C]91[/C][C]4459[/C][C]4447.21326151398[/C][C]11.7867384860228[/C][/ROW]
[ROW][C]92[/C][C]6398[/C][C]5686.68318588384[/C][C]711.316814116162[/C][/ROW]
[ROW][C]93[/C][C]4596[/C][C]5625.84610379992[/C][C]-1029.84610379992[/C][/ROW]
[ROW][C]94[/C][C]3024[/C][C]2783.50229160411[/C][C]240.497708395894[/C][/ROW]
[ROW][C]95[/C][C]1887[/C][C]1702.28799668004[/C][C]184.712003319959[/C][/ROW]
[ROW][C]96[/C][C]2070[/C][C]2367.10751149119[/C][C]-297.107511491186[/C][/ROW]
[ROW][C]97[/C][C]1351[/C][C]1101.97809781242[/C][C]249.021902187579[/C][/ROW]
[ROW][C]98[/C][C]2218[/C][C]2087.32469437971[/C][C]130.675305620286[/C][/ROW]
[ROW][C]99[/C][C]2461[/C][C]2202.23209534194[/C][C]258.767904658057[/C][/ROW]
[ROW][C]100[/C][C]3028[/C][C]2657.58046995612[/C][C]370.419530043876[/C][/ROW]
[ROW][C]101[/C][C]4784[/C][C]4346.46945290073[/C][C]437.530547099273[/C][/ROW]
[ROW][C]102[/C][C]4975[/C][C]5403.89979933126[/C][C]-428.899799331258[/C][/ROW]
[ROW][C]103[/C][C]4607[/C][C]4457.30381344760[/C][C]149.696186552395[/C][/ROW]
[ROW][C]104[/C][C]6249[/C][C]6366.22994747587[/C][C]-117.229947475873[/C][/ROW]
[ROW][C]105[/C][C]4809[/C][C]4613.14835207163[/C][C]195.85164792837[/C][/ROW]
[ROW][C]106[/C][C]3157[/C][C]3038.7944538962[/C][C]118.205546103800[/C][/ROW]
[ROW][C]107[/C][C]1910[/C][C]1898.26541302465[/C][C]11.7345869753472[/C][/ROW]
[ROW][C]108[/C][C]2228[/C][C]2097.84930476264[/C][C]130.150695237362[/C][/ROW]
[ROW][C]109[/C][C]1594[/C][C]1372.52085362760[/C][C]221.479146372397[/C][/ROW]
[ROW][C]110[/C][C]2467[/C][C]2244.42973561878[/C][C]222.570264381223[/C][/ROW]
[ROW][C]111[/C][C]2222[/C][C]2485.53423166698[/C][C]-263.534231666984[/C][/ROW]
[ROW][C]112[/C][C]3607[/C][C]3018.58549318573[/C][C]588.414506814272[/C][/ROW]
[ROW][C]113[/C][C]4685[/C][C]4782.7085014647[/C][C]-97.7085014647[/C][/ROW]
[ROW][C]114[/C][C]4962[/C][C]4991.48037623507[/C][C]-29.4803762350712[/C][/ROW]
[ROW][C]115[/C][C]5770[/C][C]4613.90901720555[/C][C]1156.09098279445[/C][/ROW]
[ROW][C]116[/C][C]5480[/C][C]6324.21687882173[/C][C]-844.216878821731[/C][/ROW]
[ROW][C]117[/C][C]5000[/C][C]4828.51156540994[/C][C]171.488434590063[/C][/ROW]
[ROW][C]118[/C][C]3228[/C][C]3179.40676063280[/C][C]48.593239367196[/C][/ROW]
[ROW][C]119[/C][C]1993[/C][C]1934.41967581065[/C][C]58.5803241893482[/C][/ROW]
[ROW][C]120[/C][C]2288[/C][C]2248.62236763414[/C][C]39.3776323658581[/C][/ROW]
[ROW][C]121[/C][C]1588[/C][C]1604.89825765683[/C][C]-16.8982576568255[/C][/ROW]
[ROW][C]122[/C][C]2105[/C][C]2465.09263190931[/C][C]-360.092631909306[/C][/ROW]
[ROW][C]123[/C][C]2191[/C][C]2214.93011791436[/C][C]-23.9301179143608[/C][/ROW]
[ROW][C]124[/C][C]3591[/C][C]3567.12941779773[/C][C]23.8705822022721[/C][/ROW]
[ROW][C]125[/C][C]4668[/C][C]4651.64935610467[/C][C]16.3506438953264[/C][/ROW]
[ROW][C]126[/C][C]4885[/C][C]4931.11260714286[/C][C]-46.1126071428598[/C][/ROW]
[ROW][C]127[/C][C]5822[/C][C]5674.68351019995[/C][C]147.316489800049[/C][/ROW]
[ROW][C]128[/C][C]5599[/C][C]5437.80517075069[/C][C]161.194829249307[/C][/ROW]
[ROW][C]129[/C][C]5340[/C][C]4957.25969883867[/C][C]382.740301161328[/C][/ROW]
[ROW][C]130[/C][C]3082[/C][C]3203.18148086508[/C][C]-121.181480865077[/C][/ROW]
[ROW][C]131[/C][C]2010[/C][C]1958.55406918362[/C][C]51.4459308163841[/C][/ROW]
[ROW][C]132[/C][C]2301[/C][C]2254.20812113126[/C][C]46.7918788687393[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116651&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116651&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
1316151538.1907051282176.8092948717931
1423502260.434111538589.5658884614995
1533503281.0721207056368.9278792943678
1635363537.06427000638-1.06427000638359
1758345834.92996575642-0.929965756420643
1867676774.80283349635-7.80283349634556
1959936672.55710916704-679.557109167037
2072766147.704213362741128.29578663726
2156417098.19692601847-1457.19692601847
2234773521.77992444771-44.7799244477064
2322472046.52238964722200.477610352776
2424662647.79080771315-181.790807713152
2515671522.9661466493244.0338533506792
2622372255.50181624142-18.5018162414208
2725983250.78879452445-652.788794524454
2837293401.81032399214327.189676007861
2957155717.35864362219-2.35864362219036
3057766650.61223710473-874.612237104733
3158525866.09488908419-14.0948890841892
3268787087.82137027955-209.821370279547
3354885519.59598532189-31.5959853218883
3435833356.2611774559226.738822544102
3520542127.63499569831-73.6349956983131
3622822352.39039501135-70.3903950113454
3715521447.21916351783104.780836482169
3822612123.79021822474137.209781775262
3924462527.10018503946-81.1001850394614
4035193636.20080115686-117.200801156859
4151615616.01693622107-455.016936221075
4250855699.46486948967-614.464869489669
4357115743.25232569529-32.2523256952891
4460576778.73506519813-721.735065198128
4552245351.69603916262-127.696039162623
4633633427.64728149998-64.6472814999765
4718991899.06888669762-0.068886697616108
4821152130.77993654896-15.7799365489645
4914911394.2616726443596.7383273556547
5020612101.03578936866-40.0357893686601
5124192288.17501080885130.824989191147
5234303374.4129225040255.5870774959753
5347785043.72935077699-265.729350776988
5448624986.37536557658-124.375365576579
5561765607.40626614289568.593733857108
5656646022.55057533152-358.550575331516
5755295177.17316318898351.826836811018
5834183338.5047476517279.4952523482793
5919411878.7828024395962.217197560411
6024022098.97863869733303.021361302675
6115791486.0593700856592.940629914353
6221462063.2109223095982.78907769041
6324622418.6641060036843.3358939963173
6436953429.03278599895265.967214001049
6548314805.5618303769225.4381696230757
6651344897.6310664831236.368933516904
6762506193.8743695440256.1256304559829
6857605704.1353446718155.8646553281851
6962495553.31945782004695.680542179962
7029173475.4024122172-558.4024122172
7117411965.17725698159-224.177256981593
7223592397.95112283166-38.9511228316551
7315111567.90284137867-56.9028413786732
7420592127.43223157852-68.4322315785166
7526352437.45397897118197.546021028818
7628673666.80340626359-799.803406263588
7744034758.55866983873-355.558669838734
7857205029.80821921765690.191780782354
7945026179.78119562558-1677.78119562558
8057495596.80082469422152.199175305781
8156276056.61335608884-429.613356088836
8228462731.42611714609114.573882853915
8317621573.51149640558188.488503594418
8424292203.64254960891225.357450391094
8511691370.71937694711-201.719376947109
8621541911.51967316080242.480326839205
8722492489.88107473489-240.881074734888
8826872751.77863475017-64.7786347501728
8943594303.3252457164455.6747542835556
9053825586.28967745597-204.289677455972
9144594447.2132615139811.7867384860228
9263985686.68318588384711.316814116162
9345965625.84610379992-1029.84610379992
9430242783.50229160411240.497708395894
9518871702.28799668004184.712003319959
9620702367.10751149119-297.107511491186
9713511101.97809781242249.021902187579
9822182087.32469437971130.675305620286
9924612202.23209534194258.767904658057
10030282657.58046995612370.419530043876
10147844346.46945290073437.530547099273
10249755403.89979933126-428.899799331258
10346074457.30381344760149.696186552395
10462496366.22994747587-117.229947475873
10548094613.14835207163195.85164792837
10631573038.7944538962118.205546103800
10719101898.2654130246511.7345869753472
10822282097.84930476264130.150695237362
10915941372.52085362760221.479146372397
11024672244.42973561878222.570264381223
11122222485.53423166698-263.534231666984
11236073018.58549318573588.414506814272
11346854782.7085014647-97.7085014647
11449624991.48037623507-29.4803762350712
11557704613.909017205551156.09098279445
11654806324.21687882173-844.216878821731
11750004828.51156540994171.488434590063
11832283179.4067606328048.593239367196
11919931934.4196758106558.5803241893482
12022882248.6223676341439.3776323658581
12115881604.89825765683-16.8982576568255
12221052465.09263190931-360.092631909306
12321912214.93011791436-23.9301179143608
12435913567.1294177977323.8705822022721
12546684651.6493561046716.3506438953264
12648854931.11260714286-46.1126071428598
12758225674.68351019995147.316489800049
12855995437.80517075069161.194829249307
12953404957.25969883867382.740301161328
13030823203.18148086508-121.181480865077
13120101958.5540691836251.4459308163841
13223012254.2081211312646.7918788687393







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331557.62919925444787.2136130653212328.04478544356
1342093.937271036441322.414712147992865.45982992488
1352181.238010401741408.608894189852953.86712661364
1363579.977418517132806.242157956434353.71267907784
1374656.119200453743881.278206132015430.96019477547
1384875.608409033644099.662089166085651.55472890121
1395804.73155880395027.680319247236581.78279836057
1405573.106675472034794.950919738566351.2624312055
1415293.602868991974514.342998263526072.86273972043
1423042.097274680242261.733687821933822.46086153855
1431967.342678141841185.875771715802748.80958456788
1442255.836066928711473.266235207693038.40589864974

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1557.62919925444 & 787.213613065321 & 2328.04478544356 \tabularnewline
134 & 2093.93727103644 & 1322.41471214799 & 2865.45982992488 \tabularnewline
135 & 2181.23801040174 & 1408.60889418985 & 2953.86712661364 \tabularnewline
136 & 3579.97741851713 & 2806.24215795643 & 4353.71267907784 \tabularnewline
137 & 4656.11920045374 & 3881.27820613201 & 5430.96019477547 \tabularnewline
138 & 4875.60840903364 & 4099.66208916608 & 5651.55472890121 \tabularnewline
139 & 5804.7315588039 & 5027.68031924723 & 6581.78279836057 \tabularnewline
140 & 5573.10667547203 & 4794.95091973856 & 6351.2624312055 \tabularnewline
141 & 5293.60286899197 & 4514.34299826352 & 6072.86273972043 \tabularnewline
142 & 3042.09727468024 & 2261.73368782193 & 3822.46086153855 \tabularnewline
143 & 1967.34267814184 & 1185.87577171580 & 2748.80958456788 \tabularnewline
144 & 2255.83606692871 & 1473.26623520769 & 3038.40589864974 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116651&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]133[/C][C]1557.62919925444[/C][C]787.213613065321[/C][C]2328.04478544356[/C][/ROW]
[ROW][C]134[/C][C]2093.93727103644[/C][C]1322.41471214799[/C][C]2865.45982992488[/C][/ROW]
[ROW][C]135[/C][C]2181.23801040174[/C][C]1408.60889418985[/C][C]2953.86712661364[/C][/ROW]
[ROW][C]136[/C][C]3579.97741851713[/C][C]2806.24215795643[/C][C]4353.71267907784[/C][/ROW]
[ROW][C]137[/C][C]4656.11920045374[/C][C]3881.27820613201[/C][C]5430.96019477547[/C][/ROW]
[ROW][C]138[/C][C]4875.60840903364[/C][C]4099.66208916608[/C][C]5651.55472890121[/C][/ROW]
[ROW][C]139[/C][C]5804.7315588039[/C][C]5027.68031924723[/C][C]6581.78279836057[/C][/ROW]
[ROW][C]140[/C][C]5573.10667547203[/C][C]4794.95091973856[/C][C]6351.2624312055[/C][/ROW]
[ROW][C]141[/C][C]5293.60286899197[/C][C]4514.34299826352[/C][C]6072.86273972043[/C][/ROW]
[ROW][C]142[/C][C]3042.09727468024[/C][C]2261.73368782193[/C][C]3822.46086153855[/C][/ROW]
[ROW][C]143[/C][C]1967.34267814184[/C][C]1185.87577171580[/C][C]2748.80958456788[/C][/ROW]
[ROW][C]144[/C][C]2255.83606692871[/C][C]1473.26623520769[/C][C]3038.40589864974[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116651&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116651&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
1331557.62919925444787.2136130653212328.04478544356
1342093.937271036441322.414712147992865.45982992488
1352181.238010401741408.608894189852953.86712661364
1363579.977418517132806.242157956434353.71267907784
1374656.119200453743881.278206132015430.96019477547
1384875.608409033644099.662089166085651.55472890121
1395804.73155880395027.680319247236581.78279836057
1405573.106675472034794.950919738566351.2624312055
1415293.602868991974514.342998263526072.86273972043
1423042.097274680242261.733687821933822.46086153855
1431967.342678141841185.875771715802748.80958456788
1442255.836066928711473.266235207693038.40589864974



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')