Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 01 Aug 2013 09:22:07 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/01/t1375363352ebely01zek4s6ym.htm/, Retrieved Sat, 04 May 2024 22:07:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210879, Retrieved Sat, 04 May 2024 22:07:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsVan Camp Stef
Estimated Impact172
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [] [2013-08-01 12:04:45] [6decc077dded9d451dc0be9ee2a4b58b]
- RM      [Exponential Smoothing] [] [2013-08-01 13:22:07] [941d89646656d1688f5e273fb31a8e6b] [Current]
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Dataseries X:
69731
68504
67277
64823
89654
88427
69731
57316
58542
58542
59770
62357
54862
47354
41207
41207
64823
67277
48581
27431
38620
38620
47354
52396
51168
38620
44900
42434
63584
58542
38620
23738
37392
41207
44900
49808
39846
31246
34939
36166
68504
68504
49808
47354
54862
51168
61130
73546
76012
58542
53622
48581
82280
84746
78466
84746
83507
73546
84746
97162
102203
87200
77238
84746
117084
127046
124592
129499
128273
115858
137008
142049
149423
127046
118312
128273
152010
173160
168119
168119
170585
161971
184361
184361
180546
159384
163199
165665
181895
203045
188041
195550
189269
185587
214246
207965
199230
186815
199230
205511
213006
222967
213006
219154
211657
210431
241542
244129
234168
216700
231581
237850
245357
256546
245357
254092
250277
236622
265279
265279





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=210879&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=210879&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210879&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999952898936118
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999952898936118 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210879&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]0.999952898936118[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210879&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210879&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
alpha0.999952898936118
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
26850469731-1227
36727768504.0577930054-1227.05779300538
46482367277.0577957275-2454.05779572749
58965464823.11558873324830.884411267
68842789652.8304389271-1225.83043892711
76973188427.0577379178-18696.0577379178
85731669731.8806042099-12415.8806042099
95854257316.58480118551225.41519881451
105854258541.94228164040.057718359559658
115977058541.99999728141228.0000027186
126235759769.94215989342587.05784010657
135486262356.8781468234-7494.87814682341
144735454862.3530167344-7508.35301673438
154120747354.3536514151-6147.35365141509
164120741207.289546897-0.289546897038235
176482341207.00001363823615.999986362
186727764821.8876612762455.11233872399
194858167276.8843615969-18695.8843615969
202743148581.8805960436-21150.8805960436
213862027431.996228978111188.0037710219
223862038619.47303311970.526966880330292
234735438619.99997517938734.0000248207
245239647353.58861930695042.41138069311
255116852395.7624970594-1227.76249705944
263862051168.0578289198-12548.0578289198
274490038620.59102687346279.40897312661
284243444899.7042331568-2465.70423315682
296358442434.116137292621149.8838627074
305854263583.0038179691-5041.00381796909
313862058542.2374366429-19922.2374366429
322373838620.9383585782-14882.9383585782
333739223738.701002230413653.2989977696
344120737391.35691509173815.64308490829
354490041206.82027915133693.17972084869
364980844899.8260473064908.17395269396
373984649807.7688197851-9961.76881978511
383124639846.4692099096-8600.46920990956
393493931246.40509124973692.59490875033
403616634938.82607485131227.17392514869
416850436165.942198802632338.0578011974
426850468502.47684307371.52315692631237
434980868503.9999282577-18695.9999282577
444735449808.880601487-2454.88060148696
455486247354.1156274887507.88437251197
465116854861.6463706586-3693.64637065856
476113051168.17397467379961.82602532634
487354661129.53078739612416.469212604
497601273545.41517109042466.58482890957
505854276011.8838212304-17469.8838212304
515362258542.8228501139-4920.82285011387
524858153622.2317759914-5041.23177599141
538228048581.237447379933698.7625526201
548474682278.41275243232467.58724756773
557846684745.8837740154-6279.88377401541
568474678466.29578920686279.70421079319
578350784745.7042192508-1238.70421925081
587354683507.0583442866-9961.05834428656
598474673546.469176445411199.5308235546
609716284745.472490183212416.5275098168
6110220397161.41516834465041.58483165543
6287200102202.762535991-15002.7625359908
637723887200.7066460766-9962.70664607661
648474677238.46925408227507.53074591783
6511708484745.646387314732338.3536126853
66127046117082.4768291419963.52317085935
67124592127045.530707459-2453.53070745865
68129499124592.1155639074906.88443609342
69128273129498.768880523-1225.76888052271
70115858128273.057735018-12415.0577350183
71137008115858.58476242721149.4152375725
72142049137007.0038400425041.99615995816
73149423142048.7625166177374.23748338321
74127046149422.652665569-22376.6526655692
75118312127047.053964147-8735.05396414666
76128273118312.4114303359960.58856966523
77152010128272.53084568123737.4691543185
78173160152008.88193994921151.118060051
79168119173159.003759837-5040.00375983707
80168119168119.237389539-0.237389539048309
81170585168119.0000111812465.99998881869
82161971170584.883848777-8613.88384877698
83184361161971.40572309322389.5942769066
84184361184359.945426291.05457371033845
85180546184360.999950328-3814.99995032846
86159384180546.179690556-21162.1796905564
87163199159384.9967611773814.00323882251
88165665163198.820356392466.1796436102
89181895165664.88384031516230.1161596849
90203045181894.23554426221150.764455738
91188041203044.003776492-15003.0037764922
92195550188041.7066574397508.2933425607
93189269195549.646351396-6280.64635139564
94185587189269.295825125-3682.29582512501
95214246185587.17344005128658.8265599491
96207965214244.650138779-6279.65013877943
97199230207965.295778202-8735.29577820233
98186815199230.411441724-12415.4114417245
99199230186815.58477908712414.4152209126
100205511199229.4152678366281.58473216437
101213006205510.7041306767495.29586932375
102222967213005.646963599961.35303640956
103213006222966.530809674-9960.5308096743
104219154213006.4691515986147.53084840204
105211657219153.710444757-7496.71044475678
106210431211657.353103038-1226.35310303757
107241542210431.05776253631110.9422374642
108244129241540.5346415222588.46535847776
109234168244128.878080528-9960.87808052779
110216700234168.469167955-17468.4691679548
111231581216700.82278348214880.1772165178
112237850231580.2991278226269.70087217764
113245357237849.7046904197507.2953095813
114256546245356.64639840411189.353601596
115245357256545.472969541-11188.4729695412
116254092245357.526988988734.47301101993
117250277254091.588597029-3814.58859702872
118236622250277.179671181-13655.1796711812
119265279236622.6431734928656.35682651
120265279265277.6502551071.34974489349406

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 68504 & 69731 & -1227 \tabularnewline
3 & 67277 & 68504.0577930054 & -1227.05779300538 \tabularnewline
4 & 64823 & 67277.0577957275 & -2454.05779572749 \tabularnewline
5 & 89654 & 64823.115588733 & 24830.884411267 \tabularnewline
6 & 88427 & 89652.8304389271 & -1225.83043892711 \tabularnewline
7 & 69731 & 88427.0577379178 & -18696.0577379178 \tabularnewline
8 & 57316 & 69731.8806042099 & -12415.8806042099 \tabularnewline
9 & 58542 & 57316.5848011855 & 1225.41519881451 \tabularnewline
10 & 58542 & 58541.9422816404 & 0.057718359559658 \tabularnewline
11 & 59770 & 58541.9999972814 & 1228.0000027186 \tabularnewline
12 & 62357 & 59769.9421598934 & 2587.05784010657 \tabularnewline
13 & 54862 & 62356.8781468234 & -7494.87814682341 \tabularnewline
14 & 47354 & 54862.3530167344 & -7508.35301673438 \tabularnewline
15 & 41207 & 47354.3536514151 & -6147.35365141509 \tabularnewline
16 & 41207 & 41207.289546897 & -0.289546897038235 \tabularnewline
17 & 64823 & 41207.000013638 & 23615.999986362 \tabularnewline
18 & 67277 & 64821.887661276 & 2455.11233872399 \tabularnewline
19 & 48581 & 67276.8843615969 & -18695.8843615969 \tabularnewline
20 & 27431 & 48581.8805960436 & -21150.8805960436 \tabularnewline
21 & 38620 & 27431.9962289781 & 11188.0037710219 \tabularnewline
22 & 38620 & 38619.4730331197 & 0.526966880330292 \tabularnewline
23 & 47354 & 38619.9999751793 & 8734.0000248207 \tabularnewline
24 & 52396 & 47353.5886193069 & 5042.41138069311 \tabularnewline
25 & 51168 & 52395.7624970594 & -1227.76249705944 \tabularnewline
26 & 38620 & 51168.0578289198 & -12548.0578289198 \tabularnewline
27 & 44900 & 38620.5910268734 & 6279.40897312661 \tabularnewline
28 & 42434 & 44899.7042331568 & -2465.70423315682 \tabularnewline
29 & 63584 & 42434.1161372926 & 21149.8838627074 \tabularnewline
30 & 58542 & 63583.0038179691 & -5041.00381796909 \tabularnewline
31 & 38620 & 58542.2374366429 & -19922.2374366429 \tabularnewline
32 & 23738 & 38620.9383585782 & -14882.9383585782 \tabularnewline
33 & 37392 & 23738.7010022304 & 13653.2989977696 \tabularnewline
34 & 41207 & 37391.3569150917 & 3815.64308490829 \tabularnewline
35 & 44900 & 41206.8202791513 & 3693.17972084869 \tabularnewline
36 & 49808 & 44899.826047306 & 4908.17395269396 \tabularnewline
37 & 39846 & 49807.7688197851 & -9961.76881978511 \tabularnewline
38 & 31246 & 39846.4692099096 & -8600.46920990956 \tabularnewline
39 & 34939 & 31246.4050912497 & 3692.59490875033 \tabularnewline
40 & 36166 & 34938.8260748513 & 1227.17392514869 \tabularnewline
41 & 68504 & 36165.9421988026 & 32338.0578011974 \tabularnewline
42 & 68504 & 68502.4768430737 & 1.52315692631237 \tabularnewline
43 & 49808 & 68503.9999282577 & -18695.9999282577 \tabularnewline
44 & 47354 & 49808.880601487 & -2454.88060148696 \tabularnewline
45 & 54862 & 47354.115627488 & 7507.88437251197 \tabularnewline
46 & 51168 & 54861.6463706586 & -3693.64637065856 \tabularnewline
47 & 61130 & 51168.1739746737 & 9961.82602532634 \tabularnewline
48 & 73546 & 61129.530787396 & 12416.469212604 \tabularnewline
49 & 76012 & 73545.4151710904 & 2466.58482890957 \tabularnewline
50 & 58542 & 76011.8838212304 & -17469.8838212304 \tabularnewline
51 & 53622 & 58542.8228501139 & -4920.82285011387 \tabularnewline
52 & 48581 & 53622.2317759914 & -5041.23177599141 \tabularnewline
53 & 82280 & 48581.2374473799 & 33698.7625526201 \tabularnewline
54 & 84746 & 82278.4127524323 & 2467.58724756773 \tabularnewline
55 & 78466 & 84745.8837740154 & -6279.88377401541 \tabularnewline
56 & 84746 & 78466.2957892068 & 6279.70421079319 \tabularnewline
57 & 83507 & 84745.7042192508 & -1238.70421925081 \tabularnewline
58 & 73546 & 83507.0583442866 & -9961.05834428656 \tabularnewline
59 & 84746 & 73546.4691764454 & 11199.5308235546 \tabularnewline
60 & 97162 & 84745.4724901832 & 12416.5275098168 \tabularnewline
61 & 102203 & 97161.4151683446 & 5041.58483165543 \tabularnewline
62 & 87200 & 102202.762535991 & -15002.7625359908 \tabularnewline
63 & 77238 & 87200.7066460766 & -9962.70664607661 \tabularnewline
64 & 84746 & 77238.4692540822 & 7507.53074591783 \tabularnewline
65 & 117084 & 84745.6463873147 & 32338.3536126853 \tabularnewline
66 & 127046 & 117082.476829141 & 9963.52317085935 \tabularnewline
67 & 124592 & 127045.530707459 & -2453.53070745865 \tabularnewline
68 & 129499 & 124592.115563907 & 4906.88443609342 \tabularnewline
69 & 128273 & 129498.768880523 & -1225.76888052271 \tabularnewline
70 & 115858 & 128273.057735018 & -12415.0577350183 \tabularnewline
71 & 137008 & 115858.584762427 & 21149.4152375725 \tabularnewline
72 & 142049 & 137007.003840042 & 5041.99615995816 \tabularnewline
73 & 149423 & 142048.762516617 & 7374.23748338321 \tabularnewline
74 & 127046 & 149422.652665569 & -22376.6526655692 \tabularnewline
75 & 118312 & 127047.053964147 & -8735.05396414666 \tabularnewline
76 & 128273 & 118312.411430335 & 9960.58856966523 \tabularnewline
77 & 152010 & 128272.530845681 & 23737.4691543185 \tabularnewline
78 & 173160 & 152008.881939949 & 21151.118060051 \tabularnewline
79 & 168119 & 173159.003759837 & -5040.00375983707 \tabularnewline
80 & 168119 & 168119.237389539 & -0.237389539048309 \tabularnewline
81 & 170585 & 168119.000011181 & 2465.99998881869 \tabularnewline
82 & 161971 & 170584.883848777 & -8613.88384877698 \tabularnewline
83 & 184361 & 161971.405723093 & 22389.5942769066 \tabularnewline
84 & 184361 & 184359.94542629 & 1.05457371033845 \tabularnewline
85 & 180546 & 184360.999950328 & -3814.99995032846 \tabularnewline
86 & 159384 & 180546.179690556 & -21162.1796905564 \tabularnewline
87 & 163199 & 159384.996761177 & 3814.00323882251 \tabularnewline
88 & 165665 & 163198.82035639 & 2466.1796436102 \tabularnewline
89 & 181895 & 165664.883840315 & 16230.1161596849 \tabularnewline
90 & 203045 & 181894.235544262 & 21150.764455738 \tabularnewline
91 & 188041 & 203044.003776492 & -15003.0037764922 \tabularnewline
92 & 195550 & 188041.706657439 & 7508.2933425607 \tabularnewline
93 & 189269 & 195549.646351396 & -6280.64635139564 \tabularnewline
94 & 185587 & 189269.295825125 & -3682.29582512501 \tabularnewline
95 & 214246 & 185587.173440051 & 28658.8265599491 \tabularnewline
96 & 207965 & 214244.650138779 & -6279.65013877943 \tabularnewline
97 & 199230 & 207965.295778202 & -8735.29577820233 \tabularnewline
98 & 186815 & 199230.411441724 & -12415.4114417245 \tabularnewline
99 & 199230 & 186815.584779087 & 12414.4152209126 \tabularnewline
100 & 205511 & 199229.415267836 & 6281.58473216437 \tabularnewline
101 & 213006 & 205510.704130676 & 7495.29586932375 \tabularnewline
102 & 222967 & 213005.64696359 & 9961.35303640956 \tabularnewline
103 & 213006 & 222966.530809674 & -9960.5308096743 \tabularnewline
104 & 219154 & 213006.469151598 & 6147.53084840204 \tabularnewline
105 & 211657 & 219153.710444757 & -7496.71044475678 \tabularnewline
106 & 210431 & 211657.353103038 & -1226.35310303757 \tabularnewline
107 & 241542 & 210431.057762536 & 31110.9422374642 \tabularnewline
108 & 244129 & 241540.534641522 & 2588.46535847776 \tabularnewline
109 & 234168 & 244128.878080528 & -9960.87808052779 \tabularnewline
110 & 216700 & 234168.469167955 & -17468.4691679548 \tabularnewline
111 & 231581 & 216700.822783482 & 14880.1772165178 \tabularnewline
112 & 237850 & 231580.299127822 & 6269.70087217764 \tabularnewline
113 & 245357 & 237849.704690419 & 7507.2953095813 \tabularnewline
114 & 256546 & 245356.646398404 & 11189.353601596 \tabularnewline
115 & 245357 & 256545.472969541 & -11188.4729695412 \tabularnewline
116 & 254092 & 245357.52698898 & 8734.47301101993 \tabularnewline
117 & 250277 & 254091.588597029 & -3814.58859702872 \tabularnewline
118 & 236622 & 250277.179671181 & -13655.1796711812 \tabularnewline
119 & 265279 & 236622.64317349 & 28656.35682651 \tabularnewline
120 & 265279 & 265277.650255107 & 1.34974489349406 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210879&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]2[/C][C]68504[/C][C]69731[/C][C]-1227[/C][/ROW]
[ROW][C]3[/C][C]67277[/C][C]68504.0577930054[/C][C]-1227.05779300538[/C][/ROW]
[ROW][C]4[/C][C]64823[/C][C]67277.0577957275[/C][C]-2454.05779572749[/C][/ROW]
[ROW][C]5[/C][C]89654[/C][C]64823.115588733[/C][C]24830.884411267[/C][/ROW]
[ROW][C]6[/C][C]88427[/C][C]89652.8304389271[/C][C]-1225.83043892711[/C][/ROW]
[ROW][C]7[/C][C]69731[/C][C]88427.0577379178[/C][C]-18696.0577379178[/C][/ROW]
[ROW][C]8[/C][C]57316[/C][C]69731.8806042099[/C][C]-12415.8806042099[/C][/ROW]
[ROW][C]9[/C][C]58542[/C][C]57316.5848011855[/C][C]1225.41519881451[/C][/ROW]
[ROW][C]10[/C][C]58542[/C][C]58541.9422816404[/C][C]0.057718359559658[/C][/ROW]
[ROW][C]11[/C][C]59770[/C][C]58541.9999972814[/C][C]1228.0000027186[/C][/ROW]
[ROW][C]12[/C][C]62357[/C][C]59769.9421598934[/C][C]2587.05784010657[/C][/ROW]
[ROW][C]13[/C][C]54862[/C][C]62356.8781468234[/C][C]-7494.87814682341[/C][/ROW]
[ROW][C]14[/C][C]47354[/C][C]54862.3530167344[/C][C]-7508.35301673438[/C][/ROW]
[ROW][C]15[/C][C]41207[/C][C]47354.3536514151[/C][C]-6147.35365141509[/C][/ROW]
[ROW][C]16[/C][C]41207[/C][C]41207.289546897[/C][C]-0.289546897038235[/C][/ROW]
[ROW][C]17[/C][C]64823[/C][C]41207.000013638[/C][C]23615.999986362[/C][/ROW]
[ROW][C]18[/C][C]67277[/C][C]64821.887661276[/C][C]2455.11233872399[/C][/ROW]
[ROW][C]19[/C][C]48581[/C][C]67276.8843615969[/C][C]-18695.8843615969[/C][/ROW]
[ROW][C]20[/C][C]27431[/C][C]48581.8805960436[/C][C]-21150.8805960436[/C][/ROW]
[ROW][C]21[/C][C]38620[/C][C]27431.9962289781[/C][C]11188.0037710219[/C][/ROW]
[ROW][C]22[/C][C]38620[/C][C]38619.4730331197[/C][C]0.526966880330292[/C][/ROW]
[ROW][C]23[/C][C]47354[/C][C]38619.9999751793[/C][C]8734.0000248207[/C][/ROW]
[ROW][C]24[/C][C]52396[/C][C]47353.5886193069[/C][C]5042.41138069311[/C][/ROW]
[ROW][C]25[/C][C]51168[/C][C]52395.7624970594[/C][C]-1227.76249705944[/C][/ROW]
[ROW][C]26[/C][C]38620[/C][C]51168.0578289198[/C][C]-12548.0578289198[/C][/ROW]
[ROW][C]27[/C][C]44900[/C][C]38620.5910268734[/C][C]6279.40897312661[/C][/ROW]
[ROW][C]28[/C][C]42434[/C][C]44899.7042331568[/C][C]-2465.70423315682[/C][/ROW]
[ROW][C]29[/C][C]63584[/C][C]42434.1161372926[/C][C]21149.8838627074[/C][/ROW]
[ROW][C]30[/C][C]58542[/C][C]63583.0038179691[/C][C]-5041.00381796909[/C][/ROW]
[ROW][C]31[/C][C]38620[/C][C]58542.2374366429[/C][C]-19922.2374366429[/C][/ROW]
[ROW][C]32[/C][C]23738[/C][C]38620.9383585782[/C][C]-14882.9383585782[/C][/ROW]
[ROW][C]33[/C][C]37392[/C][C]23738.7010022304[/C][C]13653.2989977696[/C][/ROW]
[ROW][C]34[/C][C]41207[/C][C]37391.3569150917[/C][C]3815.64308490829[/C][/ROW]
[ROW][C]35[/C][C]44900[/C][C]41206.8202791513[/C][C]3693.17972084869[/C][/ROW]
[ROW][C]36[/C][C]49808[/C][C]44899.826047306[/C][C]4908.17395269396[/C][/ROW]
[ROW][C]37[/C][C]39846[/C][C]49807.7688197851[/C][C]-9961.76881978511[/C][/ROW]
[ROW][C]38[/C][C]31246[/C][C]39846.4692099096[/C][C]-8600.46920990956[/C][/ROW]
[ROW][C]39[/C][C]34939[/C][C]31246.4050912497[/C][C]3692.59490875033[/C][/ROW]
[ROW][C]40[/C][C]36166[/C][C]34938.8260748513[/C][C]1227.17392514869[/C][/ROW]
[ROW][C]41[/C][C]68504[/C][C]36165.9421988026[/C][C]32338.0578011974[/C][/ROW]
[ROW][C]42[/C][C]68504[/C][C]68502.4768430737[/C][C]1.52315692631237[/C][/ROW]
[ROW][C]43[/C][C]49808[/C][C]68503.9999282577[/C][C]-18695.9999282577[/C][/ROW]
[ROW][C]44[/C][C]47354[/C][C]49808.880601487[/C][C]-2454.88060148696[/C][/ROW]
[ROW][C]45[/C][C]54862[/C][C]47354.115627488[/C][C]7507.88437251197[/C][/ROW]
[ROW][C]46[/C][C]51168[/C][C]54861.6463706586[/C][C]-3693.64637065856[/C][/ROW]
[ROW][C]47[/C][C]61130[/C][C]51168.1739746737[/C][C]9961.82602532634[/C][/ROW]
[ROW][C]48[/C][C]73546[/C][C]61129.530787396[/C][C]12416.469212604[/C][/ROW]
[ROW][C]49[/C][C]76012[/C][C]73545.4151710904[/C][C]2466.58482890957[/C][/ROW]
[ROW][C]50[/C][C]58542[/C][C]76011.8838212304[/C][C]-17469.8838212304[/C][/ROW]
[ROW][C]51[/C][C]53622[/C][C]58542.8228501139[/C][C]-4920.82285011387[/C][/ROW]
[ROW][C]52[/C][C]48581[/C][C]53622.2317759914[/C][C]-5041.23177599141[/C][/ROW]
[ROW][C]53[/C][C]82280[/C][C]48581.2374473799[/C][C]33698.7625526201[/C][/ROW]
[ROW][C]54[/C][C]84746[/C][C]82278.4127524323[/C][C]2467.58724756773[/C][/ROW]
[ROW][C]55[/C][C]78466[/C][C]84745.8837740154[/C][C]-6279.88377401541[/C][/ROW]
[ROW][C]56[/C][C]84746[/C][C]78466.2957892068[/C][C]6279.70421079319[/C][/ROW]
[ROW][C]57[/C][C]83507[/C][C]84745.7042192508[/C][C]-1238.70421925081[/C][/ROW]
[ROW][C]58[/C][C]73546[/C][C]83507.0583442866[/C][C]-9961.05834428656[/C][/ROW]
[ROW][C]59[/C][C]84746[/C][C]73546.4691764454[/C][C]11199.5308235546[/C][/ROW]
[ROW][C]60[/C][C]97162[/C][C]84745.4724901832[/C][C]12416.5275098168[/C][/ROW]
[ROW][C]61[/C][C]102203[/C][C]97161.4151683446[/C][C]5041.58483165543[/C][/ROW]
[ROW][C]62[/C][C]87200[/C][C]102202.762535991[/C][C]-15002.7625359908[/C][/ROW]
[ROW][C]63[/C][C]77238[/C][C]87200.7066460766[/C][C]-9962.70664607661[/C][/ROW]
[ROW][C]64[/C][C]84746[/C][C]77238.4692540822[/C][C]7507.53074591783[/C][/ROW]
[ROW][C]65[/C][C]117084[/C][C]84745.6463873147[/C][C]32338.3536126853[/C][/ROW]
[ROW][C]66[/C][C]127046[/C][C]117082.476829141[/C][C]9963.52317085935[/C][/ROW]
[ROW][C]67[/C][C]124592[/C][C]127045.530707459[/C][C]-2453.53070745865[/C][/ROW]
[ROW][C]68[/C][C]129499[/C][C]124592.115563907[/C][C]4906.88443609342[/C][/ROW]
[ROW][C]69[/C][C]128273[/C][C]129498.768880523[/C][C]-1225.76888052271[/C][/ROW]
[ROW][C]70[/C][C]115858[/C][C]128273.057735018[/C][C]-12415.0577350183[/C][/ROW]
[ROW][C]71[/C][C]137008[/C][C]115858.584762427[/C][C]21149.4152375725[/C][/ROW]
[ROW][C]72[/C][C]142049[/C][C]137007.003840042[/C][C]5041.99615995816[/C][/ROW]
[ROW][C]73[/C][C]149423[/C][C]142048.762516617[/C][C]7374.23748338321[/C][/ROW]
[ROW][C]74[/C][C]127046[/C][C]149422.652665569[/C][C]-22376.6526655692[/C][/ROW]
[ROW][C]75[/C][C]118312[/C][C]127047.053964147[/C][C]-8735.05396414666[/C][/ROW]
[ROW][C]76[/C][C]128273[/C][C]118312.411430335[/C][C]9960.58856966523[/C][/ROW]
[ROW][C]77[/C][C]152010[/C][C]128272.530845681[/C][C]23737.4691543185[/C][/ROW]
[ROW][C]78[/C][C]173160[/C][C]152008.881939949[/C][C]21151.118060051[/C][/ROW]
[ROW][C]79[/C][C]168119[/C][C]173159.003759837[/C][C]-5040.00375983707[/C][/ROW]
[ROW][C]80[/C][C]168119[/C][C]168119.237389539[/C][C]-0.237389539048309[/C][/ROW]
[ROW][C]81[/C][C]170585[/C][C]168119.000011181[/C][C]2465.99998881869[/C][/ROW]
[ROW][C]82[/C][C]161971[/C][C]170584.883848777[/C][C]-8613.88384877698[/C][/ROW]
[ROW][C]83[/C][C]184361[/C][C]161971.405723093[/C][C]22389.5942769066[/C][/ROW]
[ROW][C]84[/C][C]184361[/C][C]184359.94542629[/C][C]1.05457371033845[/C][/ROW]
[ROW][C]85[/C][C]180546[/C][C]184360.999950328[/C][C]-3814.99995032846[/C][/ROW]
[ROW][C]86[/C][C]159384[/C][C]180546.179690556[/C][C]-21162.1796905564[/C][/ROW]
[ROW][C]87[/C][C]163199[/C][C]159384.996761177[/C][C]3814.00323882251[/C][/ROW]
[ROW][C]88[/C][C]165665[/C][C]163198.82035639[/C][C]2466.1796436102[/C][/ROW]
[ROW][C]89[/C][C]181895[/C][C]165664.883840315[/C][C]16230.1161596849[/C][/ROW]
[ROW][C]90[/C][C]203045[/C][C]181894.235544262[/C][C]21150.764455738[/C][/ROW]
[ROW][C]91[/C][C]188041[/C][C]203044.003776492[/C][C]-15003.0037764922[/C][/ROW]
[ROW][C]92[/C][C]195550[/C][C]188041.706657439[/C][C]7508.2933425607[/C][/ROW]
[ROW][C]93[/C][C]189269[/C][C]195549.646351396[/C][C]-6280.64635139564[/C][/ROW]
[ROW][C]94[/C][C]185587[/C][C]189269.295825125[/C][C]-3682.29582512501[/C][/ROW]
[ROW][C]95[/C][C]214246[/C][C]185587.173440051[/C][C]28658.8265599491[/C][/ROW]
[ROW][C]96[/C][C]207965[/C][C]214244.650138779[/C][C]-6279.65013877943[/C][/ROW]
[ROW][C]97[/C][C]199230[/C][C]207965.295778202[/C][C]-8735.29577820233[/C][/ROW]
[ROW][C]98[/C][C]186815[/C][C]199230.411441724[/C][C]-12415.4114417245[/C][/ROW]
[ROW][C]99[/C][C]199230[/C][C]186815.584779087[/C][C]12414.4152209126[/C][/ROW]
[ROW][C]100[/C][C]205511[/C][C]199229.415267836[/C][C]6281.58473216437[/C][/ROW]
[ROW][C]101[/C][C]213006[/C][C]205510.704130676[/C][C]7495.29586932375[/C][/ROW]
[ROW][C]102[/C][C]222967[/C][C]213005.64696359[/C][C]9961.35303640956[/C][/ROW]
[ROW][C]103[/C][C]213006[/C][C]222966.530809674[/C][C]-9960.5308096743[/C][/ROW]
[ROW][C]104[/C][C]219154[/C][C]213006.469151598[/C][C]6147.53084840204[/C][/ROW]
[ROW][C]105[/C][C]211657[/C][C]219153.710444757[/C][C]-7496.71044475678[/C][/ROW]
[ROW][C]106[/C][C]210431[/C][C]211657.353103038[/C][C]-1226.35310303757[/C][/ROW]
[ROW][C]107[/C][C]241542[/C][C]210431.057762536[/C][C]31110.9422374642[/C][/ROW]
[ROW][C]108[/C][C]244129[/C][C]241540.534641522[/C][C]2588.46535847776[/C][/ROW]
[ROW][C]109[/C][C]234168[/C][C]244128.878080528[/C][C]-9960.87808052779[/C][/ROW]
[ROW][C]110[/C][C]216700[/C][C]234168.469167955[/C][C]-17468.4691679548[/C][/ROW]
[ROW][C]111[/C][C]231581[/C][C]216700.822783482[/C][C]14880.1772165178[/C][/ROW]
[ROW][C]112[/C][C]237850[/C][C]231580.299127822[/C][C]6269.70087217764[/C][/ROW]
[ROW][C]113[/C][C]245357[/C][C]237849.704690419[/C][C]7507.2953095813[/C][/ROW]
[ROW][C]114[/C][C]256546[/C][C]245356.646398404[/C][C]11189.353601596[/C][/ROW]
[ROW][C]115[/C][C]245357[/C][C]256545.472969541[/C][C]-11188.4729695412[/C][/ROW]
[ROW][C]116[/C][C]254092[/C][C]245357.52698898[/C][C]8734.47301101993[/C][/ROW]
[ROW][C]117[/C][C]250277[/C][C]254091.588597029[/C][C]-3814.58859702872[/C][/ROW]
[ROW][C]118[/C][C]236622[/C][C]250277.179671181[/C][C]-13655.1796711812[/C][/ROW]
[ROW][C]119[/C][C]265279[/C][C]236622.64317349[/C][C]28656.35682651[/C][/ROW]
[ROW][C]120[/C][C]265279[/C][C]265277.650255107[/C][C]1.34974489349406[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210879&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210879&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
26850469731-1227
36727768504.0577930054-1227.05779300538
46482367277.0577957275-2454.05779572749
58965464823.11558873324830.884411267
68842789652.8304389271-1225.83043892711
76973188427.0577379178-18696.0577379178
85731669731.8806042099-12415.8806042099
95854257316.58480118551225.41519881451
105854258541.94228164040.057718359559658
115977058541.99999728141228.0000027186
126235759769.94215989342587.05784010657
135486262356.8781468234-7494.87814682341
144735454862.3530167344-7508.35301673438
154120747354.3536514151-6147.35365141509
164120741207.289546897-0.289546897038235
176482341207.00001363823615.999986362
186727764821.8876612762455.11233872399
194858167276.8843615969-18695.8843615969
202743148581.8805960436-21150.8805960436
213862027431.996228978111188.0037710219
223862038619.47303311970.526966880330292
234735438619.99997517938734.0000248207
245239647353.58861930695042.41138069311
255116852395.7624970594-1227.76249705944
263862051168.0578289198-12548.0578289198
274490038620.59102687346279.40897312661
284243444899.7042331568-2465.70423315682
296358442434.116137292621149.8838627074
305854263583.0038179691-5041.00381796909
313862058542.2374366429-19922.2374366429
322373838620.9383585782-14882.9383585782
333739223738.701002230413653.2989977696
344120737391.35691509173815.64308490829
354490041206.82027915133693.17972084869
364980844899.8260473064908.17395269396
373984649807.7688197851-9961.76881978511
383124639846.4692099096-8600.46920990956
393493931246.40509124973692.59490875033
403616634938.82607485131227.17392514869
416850436165.942198802632338.0578011974
426850468502.47684307371.52315692631237
434980868503.9999282577-18695.9999282577
444735449808.880601487-2454.88060148696
455486247354.1156274887507.88437251197
465116854861.6463706586-3693.64637065856
476113051168.17397467379961.82602532634
487354661129.53078739612416.469212604
497601273545.41517109042466.58482890957
505854276011.8838212304-17469.8838212304
515362258542.8228501139-4920.82285011387
524858153622.2317759914-5041.23177599141
538228048581.237447379933698.7625526201
548474682278.41275243232467.58724756773
557846684745.8837740154-6279.88377401541
568474678466.29578920686279.70421079319
578350784745.7042192508-1238.70421925081
587354683507.0583442866-9961.05834428656
598474673546.469176445411199.5308235546
609716284745.472490183212416.5275098168
6110220397161.41516834465041.58483165543
6287200102202.762535991-15002.7625359908
637723887200.7066460766-9962.70664607661
648474677238.46925408227507.53074591783
6511708484745.646387314732338.3536126853
66127046117082.4768291419963.52317085935
67124592127045.530707459-2453.53070745865
68129499124592.1155639074906.88443609342
69128273129498.768880523-1225.76888052271
70115858128273.057735018-12415.0577350183
71137008115858.58476242721149.4152375725
72142049137007.0038400425041.99615995816
73149423142048.7625166177374.23748338321
74127046149422.652665569-22376.6526655692
75118312127047.053964147-8735.05396414666
76128273118312.4114303359960.58856966523
77152010128272.53084568123737.4691543185
78173160152008.88193994921151.118060051
79168119173159.003759837-5040.00375983707
80168119168119.237389539-0.237389539048309
81170585168119.0000111812465.99998881869
82161971170584.883848777-8613.88384877698
83184361161971.40572309322389.5942769066
84184361184359.945426291.05457371033845
85180546184360.999950328-3814.99995032846
86159384180546.179690556-21162.1796905564
87163199159384.9967611773814.00323882251
88165665163198.820356392466.1796436102
89181895165664.88384031516230.1161596849
90203045181894.23554426221150.764455738
91188041203044.003776492-15003.0037764922
92195550188041.7066574397508.2933425607
93189269195549.646351396-6280.64635139564
94185587189269.295825125-3682.29582512501
95214246185587.17344005128658.8265599491
96207965214244.650138779-6279.65013877943
97199230207965.295778202-8735.29577820233
98186815199230.411441724-12415.4114417245
99199230186815.58477908712414.4152209126
100205511199229.4152678366281.58473216437
101213006205510.7041306767495.29586932375
102222967213005.646963599961.35303640956
103213006222966.530809674-9960.5308096743
104219154213006.4691515986147.53084840204
105211657219153.710444757-7496.71044475678
106210431211657.353103038-1226.35310303757
107241542210431.05776253631110.9422374642
108244129241540.5346415222588.46535847776
109234168244128.878080528-9960.87808052779
110216700234168.469167955-17468.4691679548
111231581216700.82278348214880.1772165178
112237850231580.2991278226269.70087217764
113245357237849.7046904197507.2953095813
114256546245356.64639840411189.353601596
115245357256545.472969541-11188.4729695412
116254092245357.526988988734.47301101993
117250277254091.588597029-3814.58859702872
118236622250277.179671181-13655.1796711812
119265279236622.6431734928656.35682651
120265279265277.6502551071.34974489349406







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121265278.999936426240584.339845943289973.660026909
122265278.999936426230356.299176135300201.700696716
123265278.999936426222507.937057405308050.062815446
124265278.999936426215891.42446233314666.575410521
125265278.999936426210062.141979659320495.857893192
126265278.999936426204792.057593255325765.942279596
127265278.999936426199945.708381244330612.291491607
128265278.999936426195434.832128063335123.167744788
129265278.999936426191198.121376226339359.878496625
130265278.999936426187190.938367071343367.06150578
131265278.999936426183379.585096833347178.414776018
132265278.999936426179737.881505136350820.118367715

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 265278.999936426 & 240584.339845943 & 289973.660026909 \tabularnewline
122 & 265278.999936426 & 230356.299176135 & 300201.700696716 \tabularnewline
123 & 265278.999936426 & 222507.937057405 & 308050.062815446 \tabularnewline
124 & 265278.999936426 & 215891.42446233 & 314666.575410521 \tabularnewline
125 & 265278.999936426 & 210062.141979659 & 320495.857893192 \tabularnewline
126 & 265278.999936426 & 204792.057593255 & 325765.942279596 \tabularnewline
127 & 265278.999936426 & 199945.708381244 & 330612.291491607 \tabularnewline
128 & 265278.999936426 & 195434.832128063 & 335123.167744788 \tabularnewline
129 & 265278.999936426 & 191198.121376226 & 339359.878496625 \tabularnewline
130 & 265278.999936426 & 187190.938367071 & 343367.06150578 \tabularnewline
131 & 265278.999936426 & 183379.585096833 & 347178.414776018 \tabularnewline
132 & 265278.999936426 & 179737.881505136 & 350820.118367715 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210879&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]121[/C][C]265278.999936426[/C][C]240584.339845943[/C][C]289973.660026909[/C][/ROW]
[ROW][C]122[/C][C]265278.999936426[/C][C]230356.299176135[/C][C]300201.700696716[/C][/ROW]
[ROW][C]123[/C][C]265278.999936426[/C][C]222507.937057405[/C][C]308050.062815446[/C][/ROW]
[ROW][C]124[/C][C]265278.999936426[/C][C]215891.42446233[/C][C]314666.575410521[/C][/ROW]
[ROW][C]125[/C][C]265278.999936426[/C][C]210062.141979659[/C][C]320495.857893192[/C][/ROW]
[ROW][C]126[/C][C]265278.999936426[/C][C]204792.057593255[/C][C]325765.942279596[/C][/ROW]
[ROW][C]127[/C][C]265278.999936426[/C][C]199945.708381244[/C][C]330612.291491607[/C][/ROW]
[ROW][C]128[/C][C]265278.999936426[/C][C]195434.832128063[/C][C]335123.167744788[/C][/ROW]
[ROW][C]129[/C][C]265278.999936426[/C][C]191198.121376226[/C][C]339359.878496625[/C][/ROW]
[ROW][C]130[/C][C]265278.999936426[/C][C]187190.938367071[/C][C]343367.06150578[/C][/ROW]
[ROW][C]131[/C][C]265278.999936426[/C][C]183379.585096833[/C][C]347178.414776018[/C][/ROW]
[ROW][C]132[/C][C]265278.999936426[/C][C]179737.881505136[/C][C]350820.118367715[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210879&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210879&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
121265278.999936426240584.339845943289973.660026909
122265278.999936426230356.299176135300201.700696716
123265278.999936426222507.937057405308050.062815446
124265278.999936426215891.42446233314666.575410521
125265278.999936426210062.141979659320495.857893192
126265278.999936426204792.057593255325765.942279596
127265278.999936426199945.708381244330612.291491607
128265278.999936426195434.832128063335123.167744788
129265278.999936426191198.121376226339359.878496625
130265278.999936426187190.938367071343367.06150578
131265278.999936426183379.585096833347178.414776018
132265278.999936426179737.881505136350820.118367715



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')