Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 24 Mar 2008 13:34:42 -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/Mar/24/t1206387327egksb5afnvpjnqt.htm/, Retrieved Sun, 19 May 2024 00:58:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10081, Retrieved Sun, 19 May 2024 00:58:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact311
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Holt Winters] [2008-03-24 19:34:42] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
112
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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10081&T=0

[TABLE]
[ROW][C]Summary of compuational 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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10081&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10081&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.274854973274331
beta0.0174528263412723
gamma0.876626141649071

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.274854973274331 \tabularnewline
beta & 0.0174528263412723 \tabularnewline
gamma & 0.876626141649071 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10081&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]0.274854973274331[/C][/ROW]
[ROW][C]beta[/C][C]0.0174528263412723[/C][/ROW]
[ROW][C]gamma[/C][C]0.876626141649071[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10081&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10081&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
alpha0.274854973274331
beta0.0174528263412723
gamma0.876626141649071







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115107.3710849890807.62891501092011
14126120.1781008443195.82189915568082
15141136.5427254544084.45727454559247
16135132.4815836295742.51841637042585
17125124.2856610060260.714338993974337
18149149.172962641135-0.172962641135285
19170170.015932902317-0.0159329023173029
20170169.7893416367730.210658363227083
21158157.3423952026480.657604797352377
22133132.0310020846690.96899791533096
23114112.6179698856741.3820301143257
24140137.8117996926172.18820030738323
25145141.8692702960383.13072970396246
26150154.230670503881-4.23067050388053
27178169.5787368905688.42126310943237
28163163.535279134550-0.535279134549796
29172150.88028004563321.1197199543671
30178186.563274816562-8.56327481656191
31199209.729942557623-10.7299425576232
32199206.262536204419-7.2625362044194
33184189.19294307226-5.19294307225982
34162157.3731264624434.62687353755743
35146135.20215911860410.7978408813959
36166168.589898544456-2.58989854445630
37171172.425057807292-1.42505780729235
38180179.7981101951090.201889804890783
39193208.7781280131-15.7781280131001
40181187.887029385989-6.88702938598931
41183186.514735444676-3.51473544467646
42218197.08357156046920.9164284395306
43230229.7187916738560.281208326144281
44242231.3078685237610.6921314762400
45209217.760016067632-8.7600160676322
46191186.8598417157824.14015828421770
47172164.8817908293597.11820917064091
48194191.7605206334082.23947936659178
49196198.22563350146-2.22563350145995
50196207.499397891271-11.4993978912709
51236225.08580303632310.9141969636773
52235214.99358547569520.0064145243055
53229223.5146820647925.48531793520823
54243257.580294276965-14.5802942769646
55264269.438427422873-5.43842742287251
56272277.013533669523-5.01353366952281
57237242.283067701032-5.28306770103217
58211217.269666449409-6.26966644940904
59180191.255685703341-11.2556857033409
60201211.81796922187-10.8179692218702
61204211.761924088362-7.76192408836167
62188213.438092509411-25.4380925094107
63235242.602402461512-7.60240246151216
64227232.273607722296-5.27360772229622
65234224.1929959038549.80700409614619
66264245.92177605954218.0782239404579
67302272.68729581374029.3127041862596
68293290.2644898893272.73551011067281
69259254.8770266754444.1229733245558
70229229.645523391408-0.645523391408346
71203199.3508463414063.64915365859432
72229226.5492854935622.45071450643823
73242232.4776402707299.52235972927085
74233225.8292127073737.17078729262732
75267284.583524923957-17.5835249239566
76269271.656501420312-2.65650142031188
77270274.320820653356-4.32082065335635
78315301.24096612442313.7590338755774
79364337.92534612546926.0746538745314
80347336.45047330858010.5495266914203
81312298.36579357379513.6342064262051
82274267.7050699402876.29493005971261
83237237.161751900657-0.161751900657350
84278266.80556411888011.1944358811196
85284281.2623727120812.73762728791922
86277269.3240123721457.67598762785514
87317319.086032989245-2.08603298924544
88313320.134667969150-7.13466796915043
89318320.883864334407-2.88386433440706
90374366.80823599717.1917640028999
91413416.186680240319-3.18668024031871
92405393.84100233644911.1589976635513
93355351.8953684848513.10463151514892
94306308.227400182531-2.22740018253074
95271266.5483211972994.451678802701
96306309.229239358865-3.22923935886462
97315314.8295796156680.170420384331635
98301304.046984776367-3.04698477636731
99356348.4407522274897.55924777251147
100348348.516511754108-0.516511754107626
101355354.1833144430220.816685556977802
102422413.3211771205418.6788228794594
103465460.9013714789374.09862852106295
104467447.95627861333319.0437213866672
105404396.7880429355357.21195706446468
106347344.7787899643842.22121003561637
107305303.7409768961751.2590231038252
108336345.057657654649-9.05765765464884
109340352.101440452616-12.1014404526160
110318334.349057334075-16.3490573340745
111362386.496757849847-24.4967578498465
112348371.824983369132-23.8249833691315
113363371.883000748515-8.88300074851475
114435435.460725333547-0.460725333546861
115491478.48539730248612.5146026975141
116505476.53277246473728.4672275352634
117404417.380548960581-13.3805489605814
118359354.6728320995444.32716790045566
119310312.158635349121-2.15863534912137
120337346.306881338664-9.3068813386638
121360351.0434157992348.9565842007662
122342335.3044472583126.69555274168835
123406390.89400421288915.1059957871106
124396386.45901902619.54098097389965
125420406.89634079586613.1036592041344
126472491.070479548289-19.0704795482891
127548543.1420149335584.8579850664421
128559549.3777111992319.62228880076873
129463449.02975219737513.9702478026250
130407399.4554178850197.54458211498087
131362347.97506066183214.0249393381677
132405386.08532467554818.9146753244521
133417413.2868727438283.71312725617156
134391391.752860004374-0.752860004374384
135419459.317214052468-40.3172140524675
136461434.69335819944226.3066418005576
137472464.2798745525557.72012544744535
138535533.1585030241781.84149697582211
139622615.387134392066.61286560793974
140606626.140064584122-20.1400645841225
141508509.020761738338-1.02076173833785
142461445.27071573458815.7292842654124
143390394.727036901131-4.72703690113093
144432433.867514911908-1.86751491190762

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 107.371084989080 & 7.62891501092011 \tabularnewline
14 & 126 & 120.178100844319 & 5.82189915568082 \tabularnewline
15 & 141 & 136.542725454408 & 4.45727454559247 \tabularnewline
16 & 135 & 132.481583629574 & 2.51841637042585 \tabularnewline
17 & 125 & 124.285661006026 & 0.714338993974337 \tabularnewline
18 & 149 & 149.172962641135 & -0.172962641135285 \tabularnewline
19 & 170 & 170.015932902317 & -0.0159329023173029 \tabularnewline
20 & 170 & 169.789341636773 & 0.210658363227083 \tabularnewline
21 & 158 & 157.342395202648 & 0.657604797352377 \tabularnewline
22 & 133 & 132.031002084669 & 0.96899791533096 \tabularnewline
23 & 114 & 112.617969885674 & 1.3820301143257 \tabularnewline
24 & 140 & 137.811799692617 & 2.18820030738323 \tabularnewline
25 & 145 & 141.869270296038 & 3.13072970396246 \tabularnewline
26 & 150 & 154.230670503881 & -4.23067050388053 \tabularnewline
27 & 178 & 169.578736890568 & 8.42126310943237 \tabularnewline
28 & 163 & 163.535279134550 & -0.535279134549796 \tabularnewline
29 & 172 & 150.880280045633 & 21.1197199543671 \tabularnewline
30 & 178 & 186.563274816562 & -8.56327481656191 \tabularnewline
31 & 199 & 209.729942557623 & -10.7299425576232 \tabularnewline
32 & 199 & 206.262536204419 & -7.2625362044194 \tabularnewline
33 & 184 & 189.19294307226 & -5.19294307225982 \tabularnewline
34 & 162 & 157.373126462443 & 4.62687353755743 \tabularnewline
35 & 146 & 135.202159118604 & 10.7978408813959 \tabularnewline
36 & 166 & 168.589898544456 & -2.58989854445630 \tabularnewline
37 & 171 & 172.425057807292 & -1.42505780729235 \tabularnewline
38 & 180 & 179.798110195109 & 0.201889804890783 \tabularnewline
39 & 193 & 208.7781280131 & -15.7781280131001 \tabularnewline
40 & 181 & 187.887029385989 & -6.88702938598931 \tabularnewline
41 & 183 & 186.514735444676 & -3.51473544467646 \tabularnewline
42 & 218 & 197.083571560469 & 20.9164284395306 \tabularnewline
43 & 230 & 229.718791673856 & 0.281208326144281 \tabularnewline
44 & 242 & 231.30786852376 & 10.6921314762400 \tabularnewline
45 & 209 & 217.760016067632 & -8.7600160676322 \tabularnewline
46 & 191 & 186.859841715782 & 4.14015828421770 \tabularnewline
47 & 172 & 164.881790829359 & 7.11820917064091 \tabularnewline
48 & 194 & 191.760520633408 & 2.23947936659178 \tabularnewline
49 & 196 & 198.22563350146 & -2.22563350145995 \tabularnewline
50 & 196 & 207.499397891271 & -11.4993978912709 \tabularnewline
51 & 236 & 225.085803036323 & 10.9141969636773 \tabularnewline
52 & 235 & 214.993585475695 & 20.0064145243055 \tabularnewline
53 & 229 & 223.514682064792 & 5.48531793520823 \tabularnewline
54 & 243 & 257.580294276965 & -14.5802942769646 \tabularnewline
55 & 264 & 269.438427422873 & -5.43842742287251 \tabularnewline
56 & 272 & 277.013533669523 & -5.01353366952281 \tabularnewline
57 & 237 & 242.283067701032 & -5.28306770103217 \tabularnewline
58 & 211 & 217.269666449409 & -6.26966644940904 \tabularnewline
59 & 180 & 191.255685703341 & -11.2556857033409 \tabularnewline
60 & 201 & 211.81796922187 & -10.8179692218702 \tabularnewline
61 & 204 & 211.761924088362 & -7.76192408836167 \tabularnewline
62 & 188 & 213.438092509411 & -25.4380925094107 \tabularnewline
63 & 235 & 242.602402461512 & -7.60240246151216 \tabularnewline
64 & 227 & 232.273607722296 & -5.27360772229622 \tabularnewline
65 & 234 & 224.192995903854 & 9.80700409614619 \tabularnewline
66 & 264 & 245.921776059542 & 18.0782239404579 \tabularnewline
67 & 302 & 272.687295813740 & 29.3127041862596 \tabularnewline
68 & 293 & 290.264489889327 & 2.73551011067281 \tabularnewline
69 & 259 & 254.877026675444 & 4.1229733245558 \tabularnewline
70 & 229 & 229.645523391408 & -0.645523391408346 \tabularnewline
71 & 203 & 199.350846341406 & 3.64915365859432 \tabularnewline
72 & 229 & 226.549285493562 & 2.45071450643823 \tabularnewline
73 & 242 & 232.477640270729 & 9.52235972927085 \tabularnewline
74 & 233 & 225.829212707373 & 7.17078729262732 \tabularnewline
75 & 267 & 284.583524923957 & -17.5835249239566 \tabularnewline
76 & 269 & 271.656501420312 & -2.65650142031188 \tabularnewline
77 & 270 & 274.320820653356 & -4.32082065335635 \tabularnewline
78 & 315 & 301.240966124423 & 13.7590338755774 \tabularnewline
79 & 364 & 337.925346125469 & 26.0746538745314 \tabularnewline
80 & 347 & 336.450473308580 & 10.5495266914203 \tabularnewline
81 & 312 & 298.365793573795 & 13.6342064262051 \tabularnewline
82 & 274 & 267.705069940287 & 6.29493005971261 \tabularnewline
83 & 237 & 237.161751900657 & -0.161751900657350 \tabularnewline
84 & 278 & 266.805564118880 & 11.1944358811196 \tabularnewline
85 & 284 & 281.262372712081 & 2.73762728791922 \tabularnewline
86 & 277 & 269.324012372145 & 7.67598762785514 \tabularnewline
87 & 317 & 319.086032989245 & -2.08603298924544 \tabularnewline
88 & 313 & 320.134667969150 & -7.13466796915043 \tabularnewline
89 & 318 & 320.883864334407 & -2.88386433440706 \tabularnewline
90 & 374 & 366.8082359971 & 7.1917640028999 \tabularnewline
91 & 413 & 416.186680240319 & -3.18668024031871 \tabularnewline
92 & 405 & 393.841002336449 & 11.1589976635513 \tabularnewline
93 & 355 & 351.895368484851 & 3.10463151514892 \tabularnewline
94 & 306 & 308.227400182531 & -2.22740018253074 \tabularnewline
95 & 271 & 266.548321197299 & 4.451678802701 \tabularnewline
96 & 306 & 309.229239358865 & -3.22923935886462 \tabularnewline
97 & 315 & 314.829579615668 & 0.170420384331635 \tabularnewline
98 & 301 & 304.046984776367 & -3.04698477636731 \tabularnewline
99 & 356 & 348.440752227489 & 7.55924777251147 \tabularnewline
100 & 348 & 348.516511754108 & -0.516511754107626 \tabularnewline
101 & 355 & 354.183314443022 & 0.816685556977802 \tabularnewline
102 & 422 & 413.321177120541 & 8.6788228794594 \tabularnewline
103 & 465 & 460.901371478937 & 4.09862852106295 \tabularnewline
104 & 467 & 447.956278613333 & 19.0437213866672 \tabularnewline
105 & 404 & 396.788042935535 & 7.21195706446468 \tabularnewline
106 & 347 & 344.778789964384 & 2.22121003561637 \tabularnewline
107 & 305 & 303.740976896175 & 1.2590231038252 \tabularnewline
108 & 336 & 345.057657654649 & -9.05765765464884 \tabularnewline
109 & 340 & 352.101440452616 & -12.1014404526160 \tabularnewline
110 & 318 & 334.349057334075 & -16.3490573340745 \tabularnewline
111 & 362 & 386.496757849847 & -24.4967578498465 \tabularnewline
112 & 348 & 371.824983369132 & -23.8249833691315 \tabularnewline
113 & 363 & 371.883000748515 & -8.88300074851475 \tabularnewline
114 & 435 & 435.460725333547 & -0.460725333546861 \tabularnewline
115 & 491 & 478.485397302486 & 12.5146026975141 \tabularnewline
116 & 505 & 476.532772464737 & 28.4672275352634 \tabularnewline
117 & 404 & 417.380548960581 & -13.3805489605814 \tabularnewline
118 & 359 & 354.672832099544 & 4.32716790045566 \tabularnewline
119 & 310 & 312.158635349121 & -2.15863534912137 \tabularnewline
120 & 337 & 346.306881338664 & -9.3068813386638 \tabularnewline
121 & 360 & 351.043415799234 & 8.9565842007662 \tabularnewline
122 & 342 & 335.304447258312 & 6.69555274168835 \tabularnewline
123 & 406 & 390.894004212889 & 15.1059957871106 \tabularnewline
124 & 396 & 386.4590190261 & 9.54098097389965 \tabularnewline
125 & 420 & 406.896340795866 & 13.1036592041344 \tabularnewline
126 & 472 & 491.070479548289 & -19.0704795482891 \tabularnewline
127 & 548 & 543.142014933558 & 4.8579850664421 \tabularnewline
128 & 559 & 549.377711199231 & 9.62228880076873 \tabularnewline
129 & 463 & 449.029752197375 & 13.9702478026250 \tabularnewline
130 & 407 & 399.455417885019 & 7.54458211498087 \tabularnewline
131 & 362 & 347.975060661832 & 14.0249393381677 \tabularnewline
132 & 405 & 386.085324675548 & 18.9146753244521 \tabularnewline
133 & 417 & 413.286872743828 & 3.71312725617156 \tabularnewline
134 & 391 & 391.752860004374 & -0.752860004374384 \tabularnewline
135 & 419 & 459.317214052468 & -40.3172140524675 \tabularnewline
136 & 461 & 434.693358199442 & 26.3066418005576 \tabularnewline
137 & 472 & 464.279874552555 & 7.72012544744535 \tabularnewline
138 & 535 & 533.158503024178 & 1.84149697582211 \tabularnewline
139 & 622 & 615.38713439206 & 6.61286560793974 \tabularnewline
140 & 606 & 626.140064584122 & -20.1400645841225 \tabularnewline
141 & 508 & 509.020761738338 & -1.02076173833785 \tabularnewline
142 & 461 & 445.270715734588 & 15.7292842654124 \tabularnewline
143 & 390 & 394.727036901131 & -4.72703690113093 \tabularnewline
144 & 432 & 433.867514911908 & -1.86751491190762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10081&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]115[/C][C]107.371084989080[/C][C]7.62891501092011[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]120.178100844319[/C][C]5.82189915568082[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]136.542725454408[/C][C]4.45727454559247[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.481583629574[/C][C]2.51841637042585[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]124.285661006026[/C][C]0.714338993974337[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]149.172962641135[/C][C]-0.172962641135285[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]170.015932902317[/C][C]-0.0159329023173029[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]169.789341636773[/C][C]0.210658363227083[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]157.342395202648[/C][C]0.657604797352377[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]132.031002084669[/C][C]0.96899791533096[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]112.617969885674[/C][C]1.3820301143257[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]137.811799692617[/C][C]2.18820030738323[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]141.869270296038[/C][C]3.13072970396246[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]154.230670503881[/C][C]-4.23067050388053[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]169.578736890568[/C][C]8.42126310943237[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]163.535279134550[/C][C]-0.535279134549796[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]150.880280045633[/C][C]21.1197199543671[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]186.563274816562[/C][C]-8.56327481656191[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]209.729942557623[/C][C]-10.7299425576232[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]206.262536204419[/C][C]-7.2625362044194[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]189.19294307226[/C][C]-5.19294307225982[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]157.373126462443[/C][C]4.62687353755743[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]135.202159118604[/C][C]10.7978408813959[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]168.589898544456[/C][C]-2.58989854445630[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.425057807292[/C][C]-1.42505780729235[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]179.798110195109[/C][C]0.201889804890783[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]208.7781280131[/C][C]-15.7781280131001[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]187.887029385989[/C][C]-6.88702938598931[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]186.514735444676[/C][C]-3.51473544467646[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]197.083571560469[/C][C]20.9164284395306[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]229.718791673856[/C][C]0.281208326144281[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]231.30786852376[/C][C]10.6921314762400[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]217.760016067632[/C][C]-8.7600160676322[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.859841715782[/C][C]4.14015828421770[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]164.881790829359[/C][C]7.11820917064091[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]191.760520633408[/C][C]2.23947936659178[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.22563350146[/C][C]-2.22563350145995[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]207.499397891271[/C][C]-11.4993978912709[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]225.085803036323[/C][C]10.9141969636773[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.993585475695[/C][C]20.0064145243055[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]223.514682064792[/C][C]5.48531793520823[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]257.580294276965[/C][C]-14.5802942769646[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]269.438427422873[/C][C]-5.43842742287251[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]277.013533669523[/C][C]-5.01353366952281[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]242.283067701032[/C][C]-5.28306770103217[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]217.269666449409[/C][C]-6.26966644940904[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.255685703341[/C][C]-11.2556857033409[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]211.81796922187[/C][C]-10.8179692218702[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.761924088362[/C][C]-7.76192408836167[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.438092509411[/C][C]-25.4380925094107[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]242.602402461512[/C][C]-7.60240246151216[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]232.273607722296[/C][C]-5.27360772229622[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.192995903854[/C][C]9.80700409614619[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]245.921776059542[/C][C]18.0782239404579[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]272.687295813740[/C][C]29.3127041862596[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]290.264489889327[/C][C]2.73551011067281[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]254.877026675444[/C][C]4.1229733245558[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]229.645523391408[/C][C]-0.645523391408346[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]199.350846341406[/C][C]3.64915365859432[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.549285493562[/C][C]2.45071450643823[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.477640270729[/C][C]9.52235972927085[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]225.829212707373[/C][C]7.17078729262732[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.583524923957[/C][C]-17.5835249239566[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.656501420312[/C][C]-2.65650142031188[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.320820653356[/C][C]-4.32082065335635[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.240966124423[/C][C]13.7590338755774[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.925346125469[/C][C]26.0746538745314[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]336.450473308580[/C][C]10.5495266914203[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.365793573795[/C][C]13.6342064262051[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.705069940287[/C][C]6.29493005971261[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]237.161751900657[/C][C]-0.161751900657350[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.805564118880[/C][C]11.1944358811196[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.262372712081[/C][C]2.73762728791922[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.324012372145[/C][C]7.67598762785514[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]319.086032989245[/C][C]-2.08603298924544[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]320.134667969150[/C][C]-7.13466796915043[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]320.883864334407[/C][C]-2.88386433440706[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]366.8082359971[/C][C]7.1917640028999[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]416.186680240319[/C][C]-3.18668024031871[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]393.841002336449[/C][C]11.1589976635513[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]351.895368484851[/C][C]3.10463151514892[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.227400182531[/C][C]-2.22740018253074[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.548321197299[/C][C]4.451678802701[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.229239358865[/C][C]-3.22923935886462[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]314.829579615668[/C][C]0.170420384331635[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.046984776367[/C][C]-3.04698477636731[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]348.440752227489[/C][C]7.55924777251147[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]348.516511754108[/C][C]-0.516511754107626[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]354.183314443022[/C][C]0.816685556977802[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]413.321177120541[/C][C]8.6788228794594[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]460.901371478937[/C][C]4.09862852106295[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]447.956278613333[/C][C]19.0437213866672[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]396.788042935535[/C][C]7.21195706446468[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]344.778789964384[/C][C]2.22121003561637[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]303.740976896175[/C][C]1.2590231038252[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.057657654649[/C][C]-9.05765765464884[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.101440452616[/C][C]-12.1014404526160[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.349057334075[/C][C]-16.3490573340745[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.496757849847[/C][C]-24.4967578498465[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]371.824983369132[/C][C]-23.8249833691315[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]371.883000748515[/C][C]-8.88300074851475[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.460725333547[/C][C]-0.460725333546861[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.485397302486[/C][C]12.5146026975141[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.532772464737[/C][C]28.4672275352634[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.380548960581[/C][C]-13.3805489605814[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.672832099544[/C][C]4.32716790045566[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]312.158635349121[/C][C]-2.15863534912137[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]346.306881338664[/C][C]-9.3068813386638[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]351.043415799234[/C][C]8.9565842007662[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]335.304447258312[/C][C]6.69555274168835[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.894004212889[/C][C]15.1059957871106[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.4590190261[/C][C]9.54098097389965[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]406.896340795866[/C][C]13.1036592041344[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.070479548289[/C][C]-19.0704795482891[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.142014933558[/C][C]4.8579850664421[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.377711199231[/C][C]9.62228880076873[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.029752197375[/C][C]13.9702478026250[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.455417885019[/C][C]7.54458211498087[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]347.975060661832[/C][C]14.0249393381677[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.085324675548[/C][C]18.9146753244521[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.286872743828[/C][C]3.71312725617156[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]391.752860004374[/C][C]-0.752860004374384[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]459.317214052468[/C][C]-40.3172140524675[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]434.693358199442[/C][C]26.3066418005576[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]464.279874552555[/C][C]7.72012544744535[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]533.158503024178[/C][C]1.84149697582211[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]615.38713439206[/C][C]6.61286560793974[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]626.140064584122[/C][C]-20.1400645841225[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]509.020761738338[/C][C]-1.02076173833785[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]445.270715734588[/C][C]15.7292842654124[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]394.727036901131[/C][C]-4.72703690113093[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]433.867514911908[/C][C]-1.86751491190762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10081&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10081&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
13115107.3710849890807.62891501092011
14126120.1781008443195.82189915568082
15141136.5427254544084.45727454559247
16135132.4815836295742.51841637042585
17125124.2856610060260.714338993974337
18149149.172962641135-0.172962641135285
19170170.015932902317-0.0159329023173029
20170169.7893416367730.210658363227083
21158157.3423952026480.657604797352377
22133132.0310020846690.96899791533096
23114112.6179698856741.3820301143257
24140137.8117996926172.18820030738323
25145141.8692702960383.13072970396246
26150154.230670503881-4.23067050388053
27178169.5787368905688.42126310943237
28163163.535279134550-0.535279134549796
29172150.88028004563321.1197199543671
30178186.563274816562-8.56327481656191
31199209.729942557623-10.7299425576232
32199206.262536204419-7.2625362044194
33184189.19294307226-5.19294307225982
34162157.3731264624434.62687353755743
35146135.20215911860410.7978408813959
36166168.589898544456-2.58989854445630
37171172.425057807292-1.42505780729235
38180179.7981101951090.201889804890783
39193208.7781280131-15.7781280131001
40181187.887029385989-6.88702938598931
41183186.514735444676-3.51473544467646
42218197.08357156046920.9164284395306
43230229.7187916738560.281208326144281
44242231.3078685237610.6921314762400
45209217.760016067632-8.7600160676322
46191186.8598417157824.14015828421770
47172164.8817908293597.11820917064091
48194191.7605206334082.23947936659178
49196198.22563350146-2.22563350145995
50196207.499397891271-11.4993978912709
51236225.08580303632310.9141969636773
52235214.99358547569520.0064145243055
53229223.5146820647925.48531793520823
54243257.580294276965-14.5802942769646
55264269.438427422873-5.43842742287251
56272277.013533669523-5.01353366952281
57237242.283067701032-5.28306770103217
58211217.269666449409-6.26966644940904
59180191.255685703341-11.2556857033409
60201211.81796922187-10.8179692218702
61204211.761924088362-7.76192408836167
62188213.438092509411-25.4380925094107
63235242.602402461512-7.60240246151216
64227232.273607722296-5.27360772229622
65234224.1929959038549.80700409614619
66264245.92177605954218.0782239404579
67302272.68729581374029.3127041862596
68293290.2644898893272.73551011067281
69259254.8770266754444.1229733245558
70229229.645523391408-0.645523391408346
71203199.3508463414063.64915365859432
72229226.5492854935622.45071450643823
73242232.4776402707299.52235972927085
74233225.8292127073737.17078729262732
75267284.583524923957-17.5835249239566
76269271.656501420312-2.65650142031188
77270274.320820653356-4.32082065335635
78315301.24096612442313.7590338755774
79364337.92534612546926.0746538745314
80347336.45047330858010.5495266914203
81312298.36579357379513.6342064262051
82274267.7050699402876.29493005971261
83237237.161751900657-0.161751900657350
84278266.80556411888011.1944358811196
85284281.2623727120812.73762728791922
86277269.3240123721457.67598762785514
87317319.086032989245-2.08603298924544
88313320.134667969150-7.13466796915043
89318320.883864334407-2.88386433440706
90374366.80823599717.1917640028999
91413416.186680240319-3.18668024031871
92405393.84100233644911.1589976635513
93355351.8953684848513.10463151514892
94306308.227400182531-2.22740018253074
95271266.5483211972994.451678802701
96306309.229239358865-3.22923935886462
97315314.8295796156680.170420384331635
98301304.046984776367-3.04698477636731
99356348.4407522274897.55924777251147
100348348.516511754108-0.516511754107626
101355354.1833144430220.816685556977802
102422413.3211771205418.6788228794594
103465460.9013714789374.09862852106295
104467447.95627861333319.0437213866672
105404396.7880429355357.21195706446468
106347344.7787899643842.22121003561637
107305303.7409768961751.2590231038252
108336345.057657654649-9.05765765464884
109340352.101440452616-12.1014404526160
110318334.349057334075-16.3490573340745
111362386.496757849847-24.4967578498465
112348371.824983369132-23.8249833691315
113363371.883000748515-8.88300074851475
114435435.460725333547-0.460725333546861
115491478.48539730248612.5146026975141
116505476.53277246473728.4672275352634
117404417.380548960581-13.3805489605814
118359354.6728320995444.32716790045566
119310312.158635349121-2.15863534912137
120337346.306881338664-9.3068813386638
121360351.0434157992348.9565842007662
122342335.3044472583126.69555274168835
123406390.89400421288915.1059957871106
124396386.45901902619.54098097389965
125420406.89634079586613.1036592041344
126472491.070479548289-19.0704795482891
127548543.1420149335584.8579850664421
128559549.3777111992319.62228880076873
129463449.02975219737513.9702478026250
130407399.4554178850197.54458211498087
131362347.97506066183214.0249393381677
132405386.08532467554818.9146753244521
133417413.2868727438283.71312725617156
134391391.752860004374-0.752860004374384
135419459.317214052468-40.3172140524675
136461434.69335819944226.3066418005576
137472464.2798745525557.72012544744535
138535533.1585030241781.84149697582211
139622615.387134392066.61286560793974
140606626.140064584122-20.1400645841225
141508509.020761738338-1.02076173833785
142461445.27071573458815.7292842654124
143390394.727036901131-4.72703690113093
144432433.867514911908-1.86751491190762







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145446.397513472111426.688822667684466.106204276539
146418.986547994849398.484502103287439.488593886411
147463.749707173436442.00659173464485.492822612233
148494.965042338401471.988876595079517.941208081723
149506.122949107606482.136276962956530.109621252256
150573.55038593263547.468799011279599.631972853982
151664.13912210174635.212683081162693.065561122317
152655.087901982919625.606479534522684.569324431316
153547.726606144666520.214971585026575.238240704305
154490.510674033975463.694278801914517.327069266035
155417.874494194077392.190619526167443.558368861987
156462.911979757667442.309981214797483.513978300537

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 446.397513472111 & 426.688822667684 & 466.106204276539 \tabularnewline
146 & 418.986547994849 & 398.484502103287 & 439.488593886411 \tabularnewline
147 & 463.749707173436 & 442.00659173464 & 485.492822612233 \tabularnewline
148 & 494.965042338401 & 471.988876595079 & 517.941208081723 \tabularnewline
149 & 506.122949107606 & 482.136276962956 & 530.109621252256 \tabularnewline
150 & 573.55038593263 & 547.468799011279 & 599.631972853982 \tabularnewline
151 & 664.13912210174 & 635.212683081162 & 693.065561122317 \tabularnewline
152 & 655.087901982919 & 625.606479534522 & 684.569324431316 \tabularnewline
153 & 547.726606144666 & 520.214971585026 & 575.238240704305 \tabularnewline
154 & 490.510674033975 & 463.694278801914 & 517.327069266035 \tabularnewline
155 & 417.874494194077 & 392.190619526167 & 443.558368861987 \tabularnewline
156 & 462.911979757667 & 442.309981214797 & 483.513978300537 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10081&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]145[/C][C]446.397513472111[/C][C]426.688822667684[/C][C]466.106204276539[/C][/ROW]
[ROW][C]146[/C][C]418.986547994849[/C][C]398.484502103287[/C][C]439.488593886411[/C][/ROW]
[ROW][C]147[/C][C]463.749707173436[/C][C]442.00659173464[/C][C]485.492822612233[/C][/ROW]
[ROW][C]148[/C][C]494.965042338401[/C][C]471.988876595079[/C][C]517.941208081723[/C][/ROW]
[ROW][C]149[/C][C]506.122949107606[/C][C]482.136276962956[/C][C]530.109621252256[/C][/ROW]
[ROW][C]150[/C][C]573.55038593263[/C][C]547.468799011279[/C][C]599.631972853982[/C][/ROW]
[ROW][C]151[/C][C]664.13912210174[/C][C]635.212683081162[/C][C]693.065561122317[/C][/ROW]
[ROW][C]152[/C][C]655.087901982919[/C][C]625.606479534522[/C][C]684.569324431316[/C][/ROW]
[ROW][C]153[/C][C]547.726606144666[/C][C]520.214971585026[/C][C]575.238240704305[/C][/ROW]
[ROW][C]154[/C][C]490.510674033975[/C][C]463.694278801914[/C][C]517.327069266035[/C][/ROW]
[ROW][C]155[/C][C]417.874494194077[/C][C]392.190619526167[/C][C]443.558368861987[/C][/ROW]
[ROW][C]156[/C][C]462.911979757667[/C][C]442.309981214797[/C][C]483.513978300537[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10081&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10081&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
145446.397513472111426.688822667684466.106204276539
146418.986547994849398.484502103287439.488593886411
147463.749707173436442.00659173464485.492822612233
148494.965042338401471.988876595079517.941208081723
149506.122949107606482.136276962956530.109621252256
150573.55038593263547.468799011279599.631972853982
151664.13912210174635.212683081162693.065561122317
152655.087901982919625.606479534522684.569324431316
153547.726606144666520.214971585026575.238240704305
154490.510674033975463.694278801914517.327069266035
155417.874494194077392.190619526167443.558368861987
156462.911979757667442.309981214797483.513978300537



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')