Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 12 Aug 2008 07:12:52 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Aug/12/t12185468305rth8rsdn8ch1kk.htm/, Retrieved Wed, 15 May 2024 11:15:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=14004, Retrieved Wed, 15 May 2024 11:15:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact284
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential smoot...] [2008-08-12 13:12:52] [a3a2988ef7dc4a3ac06bf68b078ac3cb] [Current]
Feedback Forum

Post a new message
Dataseries X:
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14004&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14004&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14004&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.280899310506867
beta0.014993451758652
gamma0.883505174307315

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.280899310506867 \tabularnewline
beta & 0.014993451758652 \tabularnewline
gamma & 0.883505174307315 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14004&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]0.280899310506867[/C][/ROW]
[ROW][C]beta[/C][C]0.014993451758652[/C][/ROW]
[ROW][C]gamma[/C][C]0.883505174307315[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14004&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14004&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
alpha0.280899310506867
beta0.014993451758652
gamma0.883505174307315







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13126116.2813758040179.7186241959834
14141133.5520474226187.44795257738187
15135130.5403266507734.45967334922665
16125123.0867084068711.91329159312913
17149148.2485786619670.751421338033111
18170169.3717439911360.62825600886444
19170169.4380755179780.561924482021908
20158157.2098158342830.790184165716823
21133132.0357444231480.964255576852054
22114112.6926202466651.30737975333479
23140137.9655130201142.03448697988628
24145143.2874759249201.71252407508027
25150157.327613275899-7.32761327589944
26178170.9533144827167.04668551728417
27163163.840823888383-0.840823888382772
28172150.66703189593721.3329681040634
29178186.183939345429-8.18393934542874
30199209.112336697547-10.1123366975472
31199205.608117997012-6.60811799701239
32184188.644928165252-4.64492816525157
33162156.9939629361755.00603706382546
34146134.99166894310111.0083310568994
35166168.489901774244-2.48990177424432
36171172.894857765863-1.89485776586304
37180181.233088070878-1.23308807087810
38193210.229388144907-17.2293881449072
39181188.694053944275-7.69405394427463
40183186.893392341417-3.89339234141659
41218197.09742107178220.9025789282179
42230229.7196568284240.28034317157622
43242231.15252228098310.8474777190172
44209217.558308348151-8.55830834815114
45191186.5672209675494.43277903245126
46172164.5969780056597.40302199434089
47194191.4553928631392.54460713686089
48196198.212886575579-2.21288657557881
49196208.015022257809-12.0150222578093
50236225.80555483670110.194445163299
51235215.80915272770719.1908472722926
52229224.3080750226514.69192497734937
53243258.173038248152-15.1730382481524
54264269.606808068124-5.60680806812354
55272276.989796426739-4.98979642673891
56237242.093421287755-5.09342128775486
57211217.038312353546-6.03831235354647
58180190.937337132638-10.9373371326384
59201211.341411677736-10.3414116777360
60204211.370213527733-7.37021352773255
61188213.326199359853-25.3261993598532
62235242.666972805517-7.66697280551733
63227232.514056296515-5.51405629651512
64234224.5051151385159.49488486148536
65264246.39055034269817.6094496573021
66302273.31612210562728.6838778943728
67293290.9448060028522.05519399714774
68259255.2879780762693.71202192373082
69229229.892913843582-0.892913843582363
70203199.434408716913.56559128309021
71229226.5594402957582.44055970424199
72242232.4377346100379.56226538996273
73233225.8592071658847.1407928341163
74267284.847268353404-17.8472683534038
75269271.816279104082-2.81627910408235
76270274.497764248186-4.497764248186
77315301.38522072830613.6147792716945
78364338.15791596963325.8420840303668
79347336.75705788531510.2429421146852
80312298.66887292348513.3311270765146
81274267.9704135400256.02958645997461
82237237.336073764774-0.336073764773971
83278266.86660151594711.1333984840530
84284281.2843175330782.71568246692181
85277269.2633705263387.73662947366165
86317319.087689493591-2.0876894935908
87313320.224938768331-7.22493876833119
88318320.927108670734-2.92710867073379
89374366.8277737396447.17222626035584
90413416.153800041502-3.15380004150177
91405393.70482555379011.2951744462105
92355351.8727074979623.12729250203773
93306308.216218194239-2.21621819423927
94271266.5328839425274.46711605747328
95306309.233289147014-3.23328914701398
96315314.7363171558280.263682844172308
97301303.931795754729-2.93179575472885
98356348.2812865203587.71871347964168
99348348.496910117826-0.496910117826019
100355354.2156112687750.78438873122542
101422413.3656798968998.63432010310055
102465460.9193743925774.08062560742263
103467447.93760506267419.0623949373261
104404396.7984992395587.20150076044183
105347344.7876638176162.21233618238364
106305303.7467148117141.25328518828644
107336345.027015350703-9.02701535070304
108340351.992313564864-11.9923135648640
109318334.161008973001-16.1610089730015
110362386.192197615529-24.1921976155287
111348371.450293921487-23.4502939214871
112363371.517324667406-8.51732466740555
113435435.144372189276-0.144372189276396
114491478.24153087272412.7584691272763
115505476.44992174376828.5500782562323
116404417.42838144451-13.4283814445097
117359354.6478641140734.35213588592723
118310312.197102861513-2.1971028615132
119337346.353464954916-9.35346495491575
120360351.0881495724428.91185042755842
121342335.4308276351796.56917236482116
122406391.09249208826914.9075079117309
123396386.7209331697899.27906683021143
124420407.17531319350812.8246868064923
125472491.329832090014-19.3298320900138
126548543.1005814864484.8994185135524
127559549.2230471931359.77695280686498
128463448.84668113559814.1533188644022
129407399.4372737479627.56272625203832
130362347.96599794037414.0340020596257
131405386.15829711720318.8417028827972
132417413.4707595069243.52924049307609
133391391.831406431631-0.831406431631422
134419459.328420854134-40.3284208541342
135461434.43413363760526.5658663623951
136472464.2384287856547.76157121434602
137535533.126901553661.87309844634001
138622615.4160980560336.58390194396657
139606626.05270305136-20.0527030513606
140508508.720515758472-0.72051575847189
141461444.98923902332416.0107609766756
142390394.565358759392-4.56535875939153
143432433.629003574392-1.62900357439185

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 126 & 116.281375804017 & 9.7186241959834 \tabularnewline
14 & 141 & 133.552047422618 & 7.44795257738187 \tabularnewline
15 & 135 & 130.540326650773 & 4.45967334922665 \tabularnewline
16 & 125 & 123.086708406871 & 1.91329159312913 \tabularnewline
17 & 149 & 148.248578661967 & 0.751421338033111 \tabularnewline
18 & 170 & 169.371743991136 & 0.62825600886444 \tabularnewline
19 & 170 & 169.438075517978 & 0.561924482021908 \tabularnewline
20 & 158 & 157.209815834283 & 0.790184165716823 \tabularnewline
21 & 133 & 132.035744423148 & 0.964255576852054 \tabularnewline
22 & 114 & 112.692620246665 & 1.30737975333479 \tabularnewline
23 & 140 & 137.965513020114 & 2.03448697988628 \tabularnewline
24 & 145 & 143.287475924920 & 1.71252407508027 \tabularnewline
25 & 150 & 157.327613275899 & -7.32761327589944 \tabularnewline
26 & 178 & 170.953314482716 & 7.04668551728417 \tabularnewline
27 & 163 & 163.840823888383 & -0.840823888382772 \tabularnewline
28 & 172 & 150.667031895937 & 21.3329681040634 \tabularnewline
29 & 178 & 186.183939345429 & -8.18393934542874 \tabularnewline
30 & 199 & 209.112336697547 & -10.1123366975472 \tabularnewline
31 & 199 & 205.608117997012 & -6.60811799701239 \tabularnewline
32 & 184 & 188.644928165252 & -4.64492816525157 \tabularnewline
33 & 162 & 156.993962936175 & 5.00603706382546 \tabularnewline
34 & 146 & 134.991668943101 & 11.0083310568994 \tabularnewline
35 & 166 & 168.489901774244 & -2.48990177424432 \tabularnewline
36 & 171 & 172.894857765863 & -1.89485776586304 \tabularnewline
37 & 180 & 181.233088070878 & -1.23308807087810 \tabularnewline
38 & 193 & 210.229388144907 & -17.2293881449072 \tabularnewline
39 & 181 & 188.694053944275 & -7.69405394427463 \tabularnewline
40 & 183 & 186.893392341417 & -3.89339234141659 \tabularnewline
41 & 218 & 197.097421071782 & 20.9025789282179 \tabularnewline
42 & 230 & 229.719656828424 & 0.28034317157622 \tabularnewline
43 & 242 & 231.152522280983 & 10.8474777190172 \tabularnewline
44 & 209 & 217.558308348151 & -8.55830834815114 \tabularnewline
45 & 191 & 186.567220967549 & 4.43277903245126 \tabularnewline
46 & 172 & 164.596978005659 & 7.40302199434089 \tabularnewline
47 & 194 & 191.455392863139 & 2.54460713686089 \tabularnewline
48 & 196 & 198.212886575579 & -2.21288657557881 \tabularnewline
49 & 196 & 208.015022257809 & -12.0150222578093 \tabularnewline
50 & 236 & 225.805554836701 & 10.194445163299 \tabularnewline
51 & 235 & 215.809152727707 & 19.1908472722926 \tabularnewline
52 & 229 & 224.308075022651 & 4.69192497734937 \tabularnewline
53 & 243 & 258.173038248152 & -15.1730382481524 \tabularnewline
54 & 264 & 269.606808068124 & -5.60680806812354 \tabularnewline
55 & 272 & 276.989796426739 & -4.98979642673891 \tabularnewline
56 & 237 & 242.093421287755 & -5.09342128775486 \tabularnewline
57 & 211 & 217.038312353546 & -6.03831235354647 \tabularnewline
58 & 180 & 190.937337132638 & -10.9373371326384 \tabularnewline
59 & 201 & 211.341411677736 & -10.3414116777360 \tabularnewline
60 & 204 & 211.370213527733 & -7.37021352773255 \tabularnewline
61 & 188 & 213.326199359853 & -25.3261993598532 \tabularnewline
62 & 235 & 242.666972805517 & -7.66697280551733 \tabularnewline
63 & 227 & 232.514056296515 & -5.51405629651512 \tabularnewline
64 & 234 & 224.505115138515 & 9.49488486148536 \tabularnewline
65 & 264 & 246.390550342698 & 17.6094496573021 \tabularnewline
66 & 302 & 273.316122105627 & 28.6838778943728 \tabularnewline
67 & 293 & 290.944806002852 & 2.05519399714774 \tabularnewline
68 & 259 & 255.287978076269 & 3.71202192373082 \tabularnewline
69 & 229 & 229.892913843582 & -0.892913843582363 \tabularnewline
70 & 203 & 199.43440871691 & 3.56559128309021 \tabularnewline
71 & 229 & 226.559440295758 & 2.44055970424199 \tabularnewline
72 & 242 & 232.437734610037 & 9.56226538996273 \tabularnewline
73 & 233 & 225.859207165884 & 7.1407928341163 \tabularnewline
74 & 267 & 284.847268353404 & -17.8472683534038 \tabularnewline
75 & 269 & 271.816279104082 & -2.81627910408235 \tabularnewline
76 & 270 & 274.497764248186 & -4.497764248186 \tabularnewline
77 & 315 & 301.385220728306 & 13.6147792716945 \tabularnewline
78 & 364 & 338.157915969633 & 25.8420840303668 \tabularnewline
79 & 347 & 336.757057885315 & 10.2429421146852 \tabularnewline
80 & 312 & 298.668872923485 & 13.3311270765146 \tabularnewline
81 & 274 & 267.970413540025 & 6.02958645997461 \tabularnewline
82 & 237 & 237.336073764774 & -0.336073764773971 \tabularnewline
83 & 278 & 266.866601515947 & 11.1333984840530 \tabularnewline
84 & 284 & 281.284317533078 & 2.71568246692181 \tabularnewline
85 & 277 & 269.263370526338 & 7.73662947366165 \tabularnewline
86 & 317 & 319.087689493591 & -2.0876894935908 \tabularnewline
87 & 313 & 320.224938768331 & -7.22493876833119 \tabularnewline
88 & 318 & 320.927108670734 & -2.92710867073379 \tabularnewline
89 & 374 & 366.827773739644 & 7.17222626035584 \tabularnewline
90 & 413 & 416.153800041502 & -3.15380004150177 \tabularnewline
91 & 405 & 393.704825553790 & 11.2951744462105 \tabularnewline
92 & 355 & 351.872707497962 & 3.12729250203773 \tabularnewline
93 & 306 & 308.216218194239 & -2.21621819423927 \tabularnewline
94 & 271 & 266.532883942527 & 4.46711605747328 \tabularnewline
95 & 306 & 309.233289147014 & -3.23328914701398 \tabularnewline
96 & 315 & 314.736317155828 & 0.263682844172308 \tabularnewline
97 & 301 & 303.931795754729 & -2.93179575472885 \tabularnewline
98 & 356 & 348.281286520358 & 7.71871347964168 \tabularnewline
99 & 348 & 348.496910117826 & -0.496910117826019 \tabularnewline
100 & 355 & 354.215611268775 & 0.78438873122542 \tabularnewline
101 & 422 & 413.365679896899 & 8.63432010310055 \tabularnewline
102 & 465 & 460.919374392577 & 4.08062560742263 \tabularnewline
103 & 467 & 447.937605062674 & 19.0623949373261 \tabularnewline
104 & 404 & 396.798499239558 & 7.20150076044183 \tabularnewline
105 & 347 & 344.787663817616 & 2.21233618238364 \tabularnewline
106 & 305 & 303.746714811714 & 1.25328518828644 \tabularnewline
107 & 336 & 345.027015350703 & -9.02701535070304 \tabularnewline
108 & 340 & 351.992313564864 & -11.9923135648640 \tabularnewline
109 & 318 & 334.161008973001 & -16.1610089730015 \tabularnewline
110 & 362 & 386.192197615529 & -24.1921976155287 \tabularnewline
111 & 348 & 371.450293921487 & -23.4502939214871 \tabularnewline
112 & 363 & 371.517324667406 & -8.51732466740555 \tabularnewline
113 & 435 & 435.144372189276 & -0.144372189276396 \tabularnewline
114 & 491 & 478.241530872724 & 12.7584691272763 \tabularnewline
115 & 505 & 476.449921743768 & 28.5500782562323 \tabularnewline
116 & 404 & 417.42838144451 & -13.4283814445097 \tabularnewline
117 & 359 & 354.647864114073 & 4.35213588592723 \tabularnewline
118 & 310 & 312.197102861513 & -2.1971028615132 \tabularnewline
119 & 337 & 346.353464954916 & -9.35346495491575 \tabularnewline
120 & 360 & 351.088149572442 & 8.91185042755842 \tabularnewline
121 & 342 & 335.430827635179 & 6.56917236482116 \tabularnewline
122 & 406 & 391.092492088269 & 14.9075079117309 \tabularnewline
123 & 396 & 386.720933169789 & 9.27906683021143 \tabularnewline
124 & 420 & 407.175313193508 & 12.8246868064923 \tabularnewline
125 & 472 & 491.329832090014 & -19.3298320900138 \tabularnewline
126 & 548 & 543.100581486448 & 4.8994185135524 \tabularnewline
127 & 559 & 549.223047193135 & 9.77695280686498 \tabularnewline
128 & 463 & 448.846681135598 & 14.1533188644022 \tabularnewline
129 & 407 & 399.437273747962 & 7.56272625203832 \tabularnewline
130 & 362 & 347.965997940374 & 14.0340020596257 \tabularnewline
131 & 405 & 386.158297117203 & 18.8417028827972 \tabularnewline
132 & 417 & 413.470759506924 & 3.52924049307609 \tabularnewline
133 & 391 & 391.831406431631 & -0.831406431631422 \tabularnewline
134 & 419 & 459.328420854134 & -40.3284208541342 \tabularnewline
135 & 461 & 434.434133637605 & 26.5658663623951 \tabularnewline
136 & 472 & 464.238428785654 & 7.76157121434602 \tabularnewline
137 & 535 & 533.12690155366 & 1.87309844634001 \tabularnewline
138 & 622 & 615.416098056033 & 6.58390194396657 \tabularnewline
139 & 606 & 626.05270305136 & -20.0527030513606 \tabularnewline
140 & 508 & 508.720515758472 & -0.72051575847189 \tabularnewline
141 & 461 & 444.989239023324 & 16.0107609766756 \tabularnewline
142 & 390 & 394.565358759392 & -4.56535875939153 \tabularnewline
143 & 432 & 433.629003574392 & -1.62900357439185 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14004&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]126[/C][C]116.281375804017[/C][C]9.7186241959834[/C][/ROW]
[ROW][C]14[/C][C]141[/C][C]133.552047422618[/C][C]7.44795257738187[/C][/ROW]
[ROW][C]15[/C][C]135[/C][C]130.540326650773[/C][C]4.45967334922665[/C][/ROW]
[ROW][C]16[/C][C]125[/C][C]123.086708406871[/C][C]1.91329159312913[/C][/ROW]
[ROW][C]17[/C][C]149[/C][C]148.248578661967[/C][C]0.751421338033111[/C][/ROW]
[ROW][C]18[/C][C]170[/C][C]169.371743991136[/C][C]0.62825600886444[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]169.438075517978[/C][C]0.561924482021908[/C][/ROW]
[ROW][C]20[/C][C]158[/C][C]157.209815834283[/C][C]0.790184165716823[/C][/ROW]
[ROW][C]21[/C][C]133[/C][C]132.035744423148[/C][C]0.964255576852054[/C][/ROW]
[ROW][C]22[/C][C]114[/C][C]112.692620246665[/C][C]1.30737975333479[/C][/ROW]
[ROW][C]23[/C][C]140[/C][C]137.965513020114[/C][C]2.03448697988628[/C][/ROW]
[ROW][C]24[/C][C]145[/C][C]143.287475924920[/C][C]1.71252407508027[/C][/ROW]
[ROW][C]25[/C][C]150[/C][C]157.327613275899[/C][C]-7.32761327589944[/C][/ROW]
[ROW][C]26[/C][C]178[/C][C]170.953314482716[/C][C]7.04668551728417[/C][/ROW]
[ROW][C]27[/C][C]163[/C][C]163.840823888383[/C][C]-0.840823888382772[/C][/ROW]
[ROW][C]28[/C][C]172[/C][C]150.667031895937[/C][C]21.3329681040634[/C][/ROW]
[ROW][C]29[/C][C]178[/C][C]186.183939345429[/C][C]-8.18393934542874[/C][/ROW]
[ROW][C]30[/C][C]199[/C][C]209.112336697547[/C][C]-10.1123366975472[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]205.608117997012[/C][C]-6.60811799701239[/C][/ROW]
[ROW][C]32[/C][C]184[/C][C]188.644928165252[/C][C]-4.64492816525157[/C][/ROW]
[ROW][C]33[/C][C]162[/C][C]156.993962936175[/C][C]5.00603706382546[/C][/ROW]
[ROW][C]34[/C][C]146[/C][C]134.991668943101[/C][C]11.0083310568994[/C][/ROW]
[ROW][C]35[/C][C]166[/C][C]168.489901774244[/C][C]-2.48990177424432[/C][/ROW]
[ROW][C]36[/C][C]171[/C][C]172.894857765863[/C][C]-1.89485776586304[/C][/ROW]
[ROW][C]37[/C][C]180[/C][C]181.233088070878[/C][C]-1.23308807087810[/C][/ROW]
[ROW][C]38[/C][C]193[/C][C]210.229388144907[/C][C]-17.2293881449072[/C][/ROW]
[ROW][C]39[/C][C]181[/C][C]188.694053944275[/C][C]-7.69405394427463[/C][/ROW]
[ROW][C]40[/C][C]183[/C][C]186.893392341417[/C][C]-3.89339234141659[/C][/ROW]
[ROW][C]41[/C][C]218[/C][C]197.097421071782[/C][C]20.9025789282179[/C][/ROW]
[ROW][C]42[/C][C]230[/C][C]229.719656828424[/C][C]0.28034317157622[/C][/ROW]
[ROW][C]43[/C][C]242[/C][C]231.152522280983[/C][C]10.8474777190172[/C][/ROW]
[ROW][C]44[/C][C]209[/C][C]217.558308348151[/C][C]-8.55830834815114[/C][/ROW]
[ROW][C]45[/C][C]191[/C][C]186.567220967549[/C][C]4.43277903245126[/C][/ROW]
[ROW][C]46[/C][C]172[/C][C]164.596978005659[/C][C]7.40302199434089[/C][/ROW]
[ROW][C]47[/C][C]194[/C][C]191.455392863139[/C][C]2.54460713686089[/C][/ROW]
[ROW][C]48[/C][C]196[/C][C]198.212886575579[/C][C]-2.21288657557881[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]208.015022257809[/C][C]-12.0150222578093[/C][/ROW]
[ROW][C]50[/C][C]236[/C][C]225.805554836701[/C][C]10.194445163299[/C][/ROW]
[ROW][C]51[/C][C]235[/C][C]215.809152727707[/C][C]19.1908472722926[/C][/ROW]
[ROW][C]52[/C][C]229[/C][C]224.308075022651[/C][C]4.69192497734937[/C][/ROW]
[ROW][C]53[/C][C]243[/C][C]258.173038248152[/C][C]-15.1730382481524[/C][/ROW]
[ROW][C]54[/C][C]264[/C][C]269.606808068124[/C][C]-5.60680806812354[/C][/ROW]
[ROW][C]55[/C][C]272[/C][C]276.989796426739[/C][C]-4.98979642673891[/C][/ROW]
[ROW][C]56[/C][C]237[/C][C]242.093421287755[/C][C]-5.09342128775486[/C][/ROW]
[ROW][C]57[/C][C]211[/C][C]217.038312353546[/C][C]-6.03831235354647[/C][/ROW]
[ROW][C]58[/C][C]180[/C][C]190.937337132638[/C][C]-10.9373371326384[/C][/ROW]
[ROW][C]59[/C][C]201[/C][C]211.341411677736[/C][C]-10.3414116777360[/C][/ROW]
[ROW][C]60[/C][C]204[/C][C]211.370213527733[/C][C]-7.37021352773255[/C][/ROW]
[ROW][C]61[/C][C]188[/C][C]213.326199359853[/C][C]-25.3261993598532[/C][/ROW]
[ROW][C]62[/C][C]235[/C][C]242.666972805517[/C][C]-7.66697280551733[/C][/ROW]
[ROW][C]63[/C][C]227[/C][C]232.514056296515[/C][C]-5.51405629651512[/C][/ROW]
[ROW][C]64[/C][C]234[/C][C]224.505115138515[/C][C]9.49488486148536[/C][/ROW]
[ROW][C]65[/C][C]264[/C][C]246.390550342698[/C][C]17.6094496573021[/C][/ROW]
[ROW][C]66[/C][C]302[/C][C]273.316122105627[/C][C]28.6838778943728[/C][/ROW]
[ROW][C]67[/C][C]293[/C][C]290.944806002852[/C][C]2.05519399714774[/C][/ROW]
[ROW][C]68[/C][C]259[/C][C]255.287978076269[/C][C]3.71202192373082[/C][/ROW]
[ROW][C]69[/C][C]229[/C][C]229.892913843582[/C][C]-0.892913843582363[/C][/ROW]
[ROW][C]70[/C][C]203[/C][C]199.43440871691[/C][C]3.56559128309021[/C][/ROW]
[ROW][C]71[/C][C]229[/C][C]226.559440295758[/C][C]2.44055970424199[/C][/ROW]
[ROW][C]72[/C][C]242[/C][C]232.437734610037[/C][C]9.56226538996273[/C][/ROW]
[ROW][C]73[/C][C]233[/C][C]225.859207165884[/C][C]7.1407928341163[/C][/ROW]
[ROW][C]74[/C][C]267[/C][C]284.847268353404[/C][C]-17.8472683534038[/C][/ROW]
[ROW][C]75[/C][C]269[/C][C]271.816279104082[/C][C]-2.81627910408235[/C][/ROW]
[ROW][C]76[/C][C]270[/C][C]274.497764248186[/C][C]-4.497764248186[/C][/ROW]
[ROW][C]77[/C][C]315[/C][C]301.385220728306[/C][C]13.6147792716945[/C][/ROW]
[ROW][C]78[/C][C]364[/C][C]338.157915969633[/C][C]25.8420840303668[/C][/ROW]
[ROW][C]79[/C][C]347[/C][C]336.757057885315[/C][C]10.2429421146852[/C][/ROW]
[ROW][C]80[/C][C]312[/C][C]298.668872923485[/C][C]13.3311270765146[/C][/ROW]
[ROW][C]81[/C][C]274[/C][C]267.970413540025[/C][C]6.02958645997461[/C][/ROW]
[ROW][C]82[/C][C]237[/C][C]237.336073764774[/C][C]-0.336073764773971[/C][/ROW]
[ROW][C]83[/C][C]278[/C][C]266.866601515947[/C][C]11.1333984840530[/C][/ROW]
[ROW][C]84[/C][C]284[/C][C]281.284317533078[/C][C]2.71568246692181[/C][/ROW]
[ROW][C]85[/C][C]277[/C][C]269.263370526338[/C][C]7.73662947366165[/C][/ROW]
[ROW][C]86[/C][C]317[/C][C]319.087689493591[/C][C]-2.0876894935908[/C][/ROW]
[ROW][C]87[/C][C]313[/C][C]320.224938768331[/C][C]-7.22493876833119[/C][/ROW]
[ROW][C]88[/C][C]318[/C][C]320.927108670734[/C][C]-2.92710867073379[/C][/ROW]
[ROW][C]89[/C][C]374[/C][C]366.827773739644[/C][C]7.17222626035584[/C][/ROW]
[ROW][C]90[/C][C]413[/C][C]416.153800041502[/C][C]-3.15380004150177[/C][/ROW]
[ROW][C]91[/C][C]405[/C][C]393.704825553790[/C][C]11.2951744462105[/C][/ROW]
[ROW][C]92[/C][C]355[/C][C]351.872707497962[/C][C]3.12729250203773[/C][/ROW]
[ROW][C]93[/C][C]306[/C][C]308.216218194239[/C][C]-2.21621819423927[/C][/ROW]
[ROW][C]94[/C][C]271[/C][C]266.532883942527[/C][C]4.46711605747328[/C][/ROW]
[ROW][C]95[/C][C]306[/C][C]309.233289147014[/C][C]-3.23328914701398[/C][/ROW]
[ROW][C]96[/C][C]315[/C][C]314.736317155828[/C][C]0.263682844172308[/C][/ROW]
[ROW][C]97[/C][C]301[/C][C]303.931795754729[/C][C]-2.93179575472885[/C][/ROW]
[ROW][C]98[/C][C]356[/C][C]348.281286520358[/C][C]7.71871347964168[/C][/ROW]
[ROW][C]99[/C][C]348[/C][C]348.496910117826[/C][C]-0.496910117826019[/C][/ROW]
[ROW][C]100[/C][C]355[/C][C]354.215611268775[/C][C]0.78438873122542[/C][/ROW]
[ROW][C]101[/C][C]422[/C][C]413.365679896899[/C][C]8.63432010310055[/C][/ROW]
[ROW][C]102[/C][C]465[/C][C]460.919374392577[/C][C]4.08062560742263[/C][/ROW]
[ROW][C]103[/C][C]467[/C][C]447.937605062674[/C][C]19.0623949373261[/C][/ROW]
[ROW][C]104[/C][C]404[/C][C]396.798499239558[/C][C]7.20150076044183[/C][/ROW]
[ROW][C]105[/C][C]347[/C][C]344.787663817616[/C][C]2.21233618238364[/C][/ROW]
[ROW][C]106[/C][C]305[/C][C]303.746714811714[/C][C]1.25328518828644[/C][/ROW]
[ROW][C]107[/C][C]336[/C][C]345.027015350703[/C][C]-9.02701535070304[/C][/ROW]
[ROW][C]108[/C][C]340[/C][C]351.992313564864[/C][C]-11.9923135648640[/C][/ROW]
[ROW][C]109[/C][C]318[/C][C]334.161008973001[/C][C]-16.1610089730015[/C][/ROW]
[ROW][C]110[/C][C]362[/C][C]386.192197615529[/C][C]-24.1921976155287[/C][/ROW]
[ROW][C]111[/C][C]348[/C][C]371.450293921487[/C][C]-23.4502939214871[/C][/ROW]
[ROW][C]112[/C][C]363[/C][C]371.517324667406[/C][C]-8.51732466740555[/C][/ROW]
[ROW][C]113[/C][C]435[/C][C]435.144372189276[/C][C]-0.144372189276396[/C][/ROW]
[ROW][C]114[/C][C]491[/C][C]478.241530872724[/C][C]12.7584691272763[/C][/ROW]
[ROW][C]115[/C][C]505[/C][C]476.449921743768[/C][C]28.5500782562323[/C][/ROW]
[ROW][C]116[/C][C]404[/C][C]417.42838144451[/C][C]-13.4283814445097[/C][/ROW]
[ROW][C]117[/C][C]359[/C][C]354.647864114073[/C][C]4.35213588592723[/C][/ROW]
[ROW][C]118[/C][C]310[/C][C]312.197102861513[/C][C]-2.1971028615132[/C][/ROW]
[ROW][C]119[/C][C]337[/C][C]346.353464954916[/C][C]-9.35346495491575[/C][/ROW]
[ROW][C]120[/C][C]360[/C][C]351.088149572442[/C][C]8.91185042755842[/C][/ROW]
[ROW][C]121[/C][C]342[/C][C]335.430827635179[/C][C]6.56917236482116[/C][/ROW]
[ROW][C]122[/C][C]406[/C][C]391.092492088269[/C][C]14.9075079117309[/C][/ROW]
[ROW][C]123[/C][C]396[/C][C]386.720933169789[/C][C]9.27906683021143[/C][/ROW]
[ROW][C]124[/C][C]420[/C][C]407.175313193508[/C][C]12.8246868064923[/C][/ROW]
[ROW][C]125[/C][C]472[/C][C]491.329832090014[/C][C]-19.3298320900138[/C][/ROW]
[ROW][C]126[/C][C]548[/C][C]543.100581486448[/C][C]4.8994185135524[/C][/ROW]
[ROW][C]127[/C][C]559[/C][C]549.223047193135[/C][C]9.77695280686498[/C][/ROW]
[ROW][C]128[/C][C]463[/C][C]448.846681135598[/C][C]14.1533188644022[/C][/ROW]
[ROW][C]129[/C][C]407[/C][C]399.437273747962[/C][C]7.56272625203832[/C][/ROW]
[ROW][C]130[/C][C]362[/C][C]347.965997940374[/C][C]14.0340020596257[/C][/ROW]
[ROW][C]131[/C][C]405[/C][C]386.158297117203[/C][C]18.8417028827972[/C][/ROW]
[ROW][C]132[/C][C]417[/C][C]413.470759506924[/C][C]3.52924049307609[/C][/ROW]
[ROW][C]133[/C][C]391[/C][C]391.831406431631[/C][C]-0.831406431631422[/C][/ROW]
[ROW][C]134[/C][C]419[/C][C]459.328420854134[/C][C]-40.3284208541342[/C][/ROW]
[ROW][C]135[/C][C]461[/C][C]434.434133637605[/C][C]26.5658663623951[/C][/ROW]
[ROW][C]136[/C][C]472[/C][C]464.238428785654[/C][C]7.76157121434602[/C][/ROW]
[ROW][C]137[/C][C]535[/C][C]533.12690155366[/C][C]1.87309844634001[/C][/ROW]
[ROW][C]138[/C][C]622[/C][C]615.416098056033[/C][C]6.58390194396657[/C][/ROW]
[ROW][C]139[/C][C]606[/C][C]626.05270305136[/C][C]-20.0527030513606[/C][/ROW]
[ROW][C]140[/C][C]508[/C][C]508.720515758472[/C][C]-0.72051575847189[/C][/ROW]
[ROW][C]141[/C][C]461[/C][C]444.989239023324[/C][C]16.0107609766756[/C][/ROW]
[ROW][C]142[/C][C]390[/C][C]394.565358759392[/C][C]-4.56535875939153[/C][/ROW]
[ROW][C]143[/C][C]432[/C][C]433.629003574392[/C][C]-1.62900357439185[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14004&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14004&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
13126116.2813758040179.7186241959834
14141133.5520474226187.44795257738187
15135130.5403266507734.45967334922665
16125123.0867084068711.91329159312913
17149148.2485786619670.751421338033111
18170169.3717439911360.62825600886444
19170169.4380755179780.561924482021908
20158157.2098158342830.790184165716823
21133132.0357444231480.964255576852054
22114112.6926202466651.30737975333479
23140137.9655130201142.03448697988628
24145143.2874759249201.71252407508027
25150157.327613275899-7.32761327589944
26178170.9533144827167.04668551728417
27163163.840823888383-0.840823888382772
28172150.66703189593721.3329681040634
29178186.183939345429-8.18393934542874
30199209.112336697547-10.1123366975472
31199205.608117997012-6.60811799701239
32184188.644928165252-4.64492816525157
33162156.9939629361755.00603706382546
34146134.99166894310111.0083310568994
35166168.489901774244-2.48990177424432
36171172.894857765863-1.89485776586304
37180181.233088070878-1.23308807087810
38193210.229388144907-17.2293881449072
39181188.694053944275-7.69405394427463
40183186.893392341417-3.89339234141659
41218197.09742107178220.9025789282179
42230229.7196568284240.28034317157622
43242231.15252228098310.8474777190172
44209217.558308348151-8.55830834815114
45191186.5672209675494.43277903245126
46172164.5969780056597.40302199434089
47194191.4553928631392.54460713686089
48196198.212886575579-2.21288657557881
49196208.015022257809-12.0150222578093
50236225.80555483670110.194445163299
51235215.80915272770719.1908472722926
52229224.3080750226514.69192497734937
53243258.173038248152-15.1730382481524
54264269.606808068124-5.60680806812354
55272276.989796426739-4.98979642673891
56237242.093421287755-5.09342128775486
57211217.038312353546-6.03831235354647
58180190.937337132638-10.9373371326384
59201211.341411677736-10.3414116777360
60204211.370213527733-7.37021352773255
61188213.326199359853-25.3261993598532
62235242.666972805517-7.66697280551733
63227232.514056296515-5.51405629651512
64234224.5051151385159.49488486148536
65264246.39055034269817.6094496573021
66302273.31612210562728.6838778943728
67293290.9448060028522.05519399714774
68259255.2879780762693.71202192373082
69229229.892913843582-0.892913843582363
70203199.434408716913.56559128309021
71229226.5594402957582.44055970424199
72242232.4377346100379.56226538996273
73233225.8592071658847.1407928341163
74267284.847268353404-17.8472683534038
75269271.816279104082-2.81627910408235
76270274.497764248186-4.497764248186
77315301.38522072830613.6147792716945
78364338.15791596963325.8420840303668
79347336.75705788531510.2429421146852
80312298.66887292348513.3311270765146
81274267.9704135400256.02958645997461
82237237.336073764774-0.336073764773971
83278266.86660151594711.1333984840530
84284281.2843175330782.71568246692181
85277269.2633705263387.73662947366165
86317319.087689493591-2.0876894935908
87313320.224938768331-7.22493876833119
88318320.927108670734-2.92710867073379
89374366.8277737396447.17222626035584
90413416.153800041502-3.15380004150177
91405393.70482555379011.2951744462105
92355351.8727074979623.12729250203773
93306308.216218194239-2.21621819423927
94271266.5328839425274.46711605747328
95306309.233289147014-3.23328914701398
96315314.7363171558280.263682844172308
97301303.931795754729-2.93179575472885
98356348.2812865203587.71871347964168
99348348.496910117826-0.496910117826019
100355354.2156112687750.78438873122542
101422413.3656798968998.63432010310055
102465460.9193743925774.08062560742263
103467447.93760506267419.0623949373261
104404396.7984992395587.20150076044183
105347344.7876638176162.21233618238364
106305303.7467148117141.25328518828644
107336345.027015350703-9.02701535070304
108340351.992313564864-11.9923135648640
109318334.161008973001-16.1610089730015
110362386.192197615529-24.1921976155287
111348371.450293921487-23.4502939214871
112363371.517324667406-8.51732466740555
113435435.144372189276-0.144372189276396
114491478.24153087272412.7584691272763
115505476.44992174376828.5500782562323
116404417.42838144451-13.4283814445097
117359354.6478641140734.35213588592723
118310312.197102861513-2.1971028615132
119337346.353464954916-9.35346495491575
120360351.0881495724428.91185042755842
121342335.4308276351796.56917236482116
122406391.09249208826914.9075079117309
123396386.7209331697899.27906683021143
124420407.17531319350812.8246868064923
125472491.329832090014-19.3298320900138
126548543.1005814864484.8994185135524
127559549.2230471931359.77695280686498
128463448.84668113559814.1533188644022
129407399.4372737479627.56272625203832
130362347.96599794037414.0340020596257
131405386.15829711720318.8417028827972
132417413.4707595069243.52924049307609
133391391.831406431631-0.831406431631422
134419459.328420854134-40.3284208541342
135461434.43413363760526.5658663623951
136472464.2384287856547.76157121434602
137535533.126901553661.87309844634001
138622615.4160980560336.58390194396657
139606626.05270305136-20.0527030513606
140508508.720515758472-0.72051575847189
141461444.98923902332416.0107609766756
142390394.565358759392-4.56535875939153
143432433.629003574392-1.62900357439185







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
144446.165888018917426.272188876449466.059587161386
145418.776549113291398.061024816972439.49207340961
146463.532987574271441.537567359875485.528407788667
147494.864017931474471.602976717914518.125059145034
148505.864488625518481.576901417936530.1520758331
149573.207351846183546.787097108086599.62760658428
150663.756003594139634.448819995664693.063187192614
151654.658689744205624.810890191196684.506489297214
152547.365267589531519.539966541438575.190568637624
153490.097466150254462.992972841699517.201959458808
154417.412520574714391.467173654527443.3578674949
155462.363954417815441.514377669981483.213531165649

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
144 & 446.165888018917 & 426.272188876449 & 466.059587161386 \tabularnewline
145 & 418.776549113291 & 398.061024816972 & 439.49207340961 \tabularnewline
146 & 463.532987574271 & 441.537567359875 & 485.528407788667 \tabularnewline
147 & 494.864017931474 & 471.602976717914 & 518.125059145034 \tabularnewline
148 & 505.864488625518 & 481.576901417936 & 530.1520758331 \tabularnewline
149 & 573.207351846183 & 546.787097108086 & 599.62760658428 \tabularnewline
150 & 663.756003594139 & 634.448819995664 & 693.063187192614 \tabularnewline
151 & 654.658689744205 & 624.810890191196 & 684.506489297214 \tabularnewline
152 & 547.365267589531 & 519.539966541438 & 575.190568637624 \tabularnewline
153 & 490.097466150254 & 462.992972841699 & 517.201959458808 \tabularnewline
154 & 417.412520574714 & 391.467173654527 & 443.3578674949 \tabularnewline
155 & 462.363954417815 & 441.514377669981 & 483.213531165649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=14004&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]144[/C][C]446.165888018917[/C][C]426.272188876449[/C][C]466.059587161386[/C][/ROW]
[ROW][C]145[/C][C]418.776549113291[/C][C]398.061024816972[/C][C]439.49207340961[/C][/ROW]
[ROW][C]146[/C][C]463.532987574271[/C][C]441.537567359875[/C][C]485.528407788667[/C][/ROW]
[ROW][C]147[/C][C]494.864017931474[/C][C]471.602976717914[/C][C]518.125059145034[/C][/ROW]
[ROW][C]148[/C][C]505.864488625518[/C][C]481.576901417936[/C][C]530.1520758331[/C][/ROW]
[ROW][C]149[/C][C]573.207351846183[/C][C]546.787097108086[/C][C]599.62760658428[/C][/ROW]
[ROW][C]150[/C][C]663.756003594139[/C][C]634.448819995664[/C][C]693.063187192614[/C][/ROW]
[ROW][C]151[/C][C]654.658689744205[/C][C]624.810890191196[/C][C]684.506489297214[/C][/ROW]
[ROW][C]152[/C][C]547.365267589531[/C][C]519.539966541438[/C][C]575.190568637624[/C][/ROW]
[ROW][C]153[/C][C]490.097466150254[/C][C]462.992972841699[/C][C]517.201959458808[/C][/ROW]
[ROW][C]154[/C][C]417.412520574714[/C][C]391.467173654527[/C][C]443.3578674949[/C][/ROW]
[ROW][C]155[/C][C]462.363954417815[/C][C]441.514377669981[/C][C]483.213531165649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=14004&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=14004&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
144446.165888018917426.272188876449466.059587161386
145418.776549113291398.061024816972439.49207340961
146463.532987574271441.537567359875485.528407788667
147494.864017931474471.602976717914518.125059145034
148505.864488625518481.576901417936530.1520758331
149573.207351846183546.787097108086599.62760658428
150663.756003594139634.448819995664693.063187192614
151654.658689744205624.810890191196684.506489297214
152547.365267589531519.539966541438575.190568637624
153490.097466150254462.992972841699517.201959458808
154417.412520574714391.467173654527443.3578674949
155462.363954417815441.514377669981483.213531165649



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')