Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 27 Apr 2008 00:47:51 -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/Apr/27/t1209278907v07s9z7j2trz19g.htm/, Retrieved Sat, 11 May 2024 08:16:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10750, Retrieved Sat, 11 May 2024 08:16:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact224
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2008-04-27 06:47:51] [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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10750&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10750&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10750&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.274854973274752
beta0.0174528263411903
gamma0.87662614165094

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.274854973274752 \tabularnewline
beta & 0.0174528263411903 \tabularnewline
gamma & 0.87662614165094 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10750&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]0.274854973274752[/C][/ROW]
[ROW][C]beta[/C][C]0.0174528263411903[/C][/ROW]
[ROW][C]gamma[/C][C]0.87662614165094[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10750&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10750&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
alpha0.274854973274752
beta0.0174528263411903
gamma0.87662614165094







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115107.3710849890807.62891501092015
14126120.1781008443225.82189915567754
15141136.5427254544134.45727454558738
16135132.4815836295792.51841637042088
17125124.2856610060300.714338993970415
18149149.172962641139-0.172962641138525
19170170.015932902319-0.0159329023193209
20170169.7893416367740.210658363226145
21158157.3423952026480.657604797352178
22133132.0310020846690.968997915330988
23114112.6179698856741.38203011432574
24140137.8117996926172.18820030738303
25145141.8692702960473.13072970395265
26150154.230670503883-4.23067050388335
27178169.5787368905648.42126310943615
28163163.535279134548-0.53527913454775
29172150.88028004562921.1197199543707
30178186.563274816568-8.56327481656808
31199209.729942557624-10.7299425576245
32199206.262536204416-7.26253620441608
33184189.192943072255-5.19294307225505
34162157.3731264624384.62687353756198
35146135.20215911860310.7978408813968
36166168.589898544461-2.58989854446054
37171172.425057807298-1.4250578072984
38180179.7981101951030.201889804897291
39193208.778128013111-15.7781280131105
40181187.887029385977-6.88702938597666
41183186.514735444686-3.51473544468621
42218197.08357156043520.9164284395648
43230229.7187916738410.281208326158975
44242231.30786852375710.6921314762426
45209217.760016067638-8.760016067638
46191186.8598417157944.14015828420614
47172164.8817908293737.11820917062684
48194191.7605206334022.23947936659772
49196198.225633501461-2.22563350146129
50196207.499397891270-11.4993978912703
51236225.08580303630310.9141969636969
52235214.99358547569520.0064145243045
53229223.5146820648135.48531793518654
54243257.580294276997-14.580294276997
55264269.438427422852-5.43842742285165
56272277.013533669516-5.01353366951633
57237242.283067701004-5.28306770100352
58211217.26966644941-6.2696664494101
59180191.255685703346-11.2556857033463
60201211.817969221856-10.8179692218559
61204211.761924088343-7.76192408834271
62188213.438092509385-25.438092509385
63235242.602402461502-7.60240246150227
64227232.273607722294-5.27360772229409
65234224.1929959038389.80700409616168
66264245.92177605952318.0782239404773
67302272.68729581374229.3127041862583
68293290.2644898893452.73551011065513
69259254.8770266754484.12297332455199
70229229.645523391416-0.645523391416248
71203199.3508463414093.64915365859133
72229226.5492854935682.45071450643229
73242232.4776402707379.52235972926283
74233225.8292127073557.17078729264486
75267284.583524923987-17.5835249239866
76269271.656501420331-2.65650142033064
77270274.320820653381-4.32082065338085
78315301.24096612443413.7590338755660
79364337.92534612548426.0746538745155
80347336.45047330856410.5495266914356
81312298.36579357378913.6342064262112
82274267.7050699402846.29493005971631
83237237.161751900662-0.161751900661926
84278266.80556411888111.1944358811188
85284281.2623727120952.73762728790541
86277269.3240123721397.67598762786082
87317319.086032989223-2.08603298922259
88313320.134667969163-7.1346679691627
89318320.883864334419-2.8838643344194
90374366.8082359971347.1917640028663
91413416.186680240357-3.18668024035730
92405393.84100233643711.1589976635631
93355351.8953684848453.10463151515455
94306308.227400182515-2.22740018251483
95271266.5483211972814.45167880271862
96306309.229239358864-3.22923935886399
97315314.8295796156570.170420384342776
98301304.046984776360-3.04698477636032
99356348.4407522274577.55924777254279
100348348.516511754091-0.5165117540908
101355354.1833144430220.81668555697837
102422413.3211771205668.67882287943371
103465460.9013714789584.09862852104231
104467447.95627861335819.0437213866424
105404396.7880429355457.21195706445536
106347344.7787899643792.22121003562074
107305303.7409768961751.25902310382537
108336345.057657654639-9.05765765463929
109340352.101440452606-12.1014404526057
110318334.349057334057-16.3490573340572
111362386.496757849826-24.4967578498258
112348371.824983369092-23.8249833690921
113363371.88300074848-8.88300074847996
114435435.460725333532-0.460725333531684
115491478.48539730247112.5146026975285
116505476.53277246475528.4672275352454
117404417.38054896059-13.3805489605897
118359354.6728320995374.3271679004626
119310312.158635349119-2.15863534911881
120337346.306881338648-9.30688133864777
121360351.0434157992188.95658420078223
122342335.30444725836.69555274170017
123406390.8940042128815.1059957871199
124396386.4590190260989.5409809739022
125420406.89634079588713.1036592041131
126472491.070479548327-19.0704795483272
127548543.1420149335894.85798506641106
128559549.3777111992749.62228880072553
129463449.02975219735513.9702478026455
130407399.455417885037.5445821149699
131362347.97506066183214.0249393381676
132405386.0853246755418.9146753244597
133417413.286872743853.7131272561499
134391391.752860004379-0.752860004379386
135419459.317214052471-40.3172140524709
136461434.69335819941526.3066418005853
137472464.2798745525527.72012544744837
138535533.1585030241461.84149697585428
139622615.3871343920816.61286560791859
140606626.140064584157-20.1400645841572
141508509.020761738341-1.02076173834143
142461445.27071573458415.7292842654155
143390394.727036901138-4.72703690113809
144432433.867514911904-1.86751491190398

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 107.371084989080 & 7.62891501092015 \tabularnewline
14 & 126 & 120.178100844322 & 5.82189915567754 \tabularnewline
15 & 141 & 136.542725454413 & 4.45727454558738 \tabularnewline
16 & 135 & 132.481583629579 & 2.51841637042088 \tabularnewline
17 & 125 & 124.285661006030 & 0.714338993970415 \tabularnewline
18 & 149 & 149.172962641139 & -0.172962641138525 \tabularnewline
19 & 170 & 170.015932902319 & -0.0159329023193209 \tabularnewline
20 & 170 & 169.789341636774 & 0.210658363226145 \tabularnewline
21 & 158 & 157.342395202648 & 0.657604797352178 \tabularnewline
22 & 133 & 132.031002084669 & 0.968997915330988 \tabularnewline
23 & 114 & 112.617969885674 & 1.38203011432574 \tabularnewline
24 & 140 & 137.811799692617 & 2.18820030738303 \tabularnewline
25 & 145 & 141.869270296047 & 3.13072970395265 \tabularnewline
26 & 150 & 154.230670503883 & -4.23067050388335 \tabularnewline
27 & 178 & 169.578736890564 & 8.42126310943615 \tabularnewline
28 & 163 & 163.535279134548 & -0.53527913454775 \tabularnewline
29 & 172 & 150.880280045629 & 21.1197199543707 \tabularnewline
30 & 178 & 186.563274816568 & -8.56327481656808 \tabularnewline
31 & 199 & 209.729942557624 & -10.7299425576245 \tabularnewline
32 & 199 & 206.262536204416 & -7.26253620441608 \tabularnewline
33 & 184 & 189.192943072255 & -5.19294307225505 \tabularnewline
34 & 162 & 157.373126462438 & 4.62687353756198 \tabularnewline
35 & 146 & 135.202159118603 & 10.7978408813968 \tabularnewline
36 & 166 & 168.589898544461 & -2.58989854446054 \tabularnewline
37 & 171 & 172.425057807298 & -1.4250578072984 \tabularnewline
38 & 180 & 179.798110195103 & 0.201889804897291 \tabularnewline
39 & 193 & 208.778128013111 & -15.7781280131105 \tabularnewline
40 & 181 & 187.887029385977 & -6.88702938597666 \tabularnewline
41 & 183 & 186.514735444686 & -3.51473544468621 \tabularnewline
42 & 218 & 197.083571560435 & 20.9164284395648 \tabularnewline
43 & 230 & 229.718791673841 & 0.281208326158975 \tabularnewline
44 & 242 & 231.307868523757 & 10.6921314762426 \tabularnewline
45 & 209 & 217.760016067638 & -8.760016067638 \tabularnewline
46 & 191 & 186.859841715794 & 4.14015828420614 \tabularnewline
47 & 172 & 164.881790829373 & 7.11820917062684 \tabularnewline
48 & 194 & 191.760520633402 & 2.23947936659772 \tabularnewline
49 & 196 & 198.225633501461 & -2.22563350146129 \tabularnewline
50 & 196 & 207.499397891270 & -11.4993978912703 \tabularnewline
51 & 236 & 225.085803036303 & 10.9141969636969 \tabularnewline
52 & 235 & 214.993585475695 & 20.0064145243045 \tabularnewline
53 & 229 & 223.514682064813 & 5.48531793518654 \tabularnewline
54 & 243 & 257.580294276997 & -14.580294276997 \tabularnewline
55 & 264 & 269.438427422852 & -5.43842742285165 \tabularnewline
56 & 272 & 277.013533669516 & -5.01353366951633 \tabularnewline
57 & 237 & 242.283067701004 & -5.28306770100352 \tabularnewline
58 & 211 & 217.26966644941 & -6.2696664494101 \tabularnewline
59 & 180 & 191.255685703346 & -11.2556857033463 \tabularnewline
60 & 201 & 211.817969221856 & -10.8179692218559 \tabularnewline
61 & 204 & 211.761924088343 & -7.76192408834271 \tabularnewline
62 & 188 & 213.438092509385 & -25.438092509385 \tabularnewline
63 & 235 & 242.602402461502 & -7.60240246150227 \tabularnewline
64 & 227 & 232.273607722294 & -5.27360772229409 \tabularnewline
65 & 234 & 224.192995903838 & 9.80700409616168 \tabularnewline
66 & 264 & 245.921776059523 & 18.0782239404773 \tabularnewline
67 & 302 & 272.687295813742 & 29.3127041862583 \tabularnewline
68 & 293 & 290.264489889345 & 2.73551011065513 \tabularnewline
69 & 259 & 254.877026675448 & 4.12297332455199 \tabularnewline
70 & 229 & 229.645523391416 & -0.645523391416248 \tabularnewline
71 & 203 & 199.350846341409 & 3.64915365859133 \tabularnewline
72 & 229 & 226.549285493568 & 2.45071450643229 \tabularnewline
73 & 242 & 232.477640270737 & 9.52235972926283 \tabularnewline
74 & 233 & 225.829212707355 & 7.17078729264486 \tabularnewline
75 & 267 & 284.583524923987 & -17.5835249239866 \tabularnewline
76 & 269 & 271.656501420331 & -2.65650142033064 \tabularnewline
77 & 270 & 274.320820653381 & -4.32082065338085 \tabularnewline
78 & 315 & 301.240966124434 & 13.7590338755660 \tabularnewline
79 & 364 & 337.925346125484 & 26.0746538745155 \tabularnewline
80 & 347 & 336.450473308564 & 10.5495266914356 \tabularnewline
81 & 312 & 298.365793573789 & 13.6342064262112 \tabularnewline
82 & 274 & 267.705069940284 & 6.29493005971631 \tabularnewline
83 & 237 & 237.161751900662 & -0.161751900661926 \tabularnewline
84 & 278 & 266.805564118881 & 11.1944358811188 \tabularnewline
85 & 284 & 281.262372712095 & 2.73762728790541 \tabularnewline
86 & 277 & 269.324012372139 & 7.67598762786082 \tabularnewline
87 & 317 & 319.086032989223 & -2.08603298922259 \tabularnewline
88 & 313 & 320.134667969163 & -7.1346679691627 \tabularnewline
89 & 318 & 320.883864334419 & -2.8838643344194 \tabularnewline
90 & 374 & 366.808235997134 & 7.1917640028663 \tabularnewline
91 & 413 & 416.186680240357 & -3.18668024035730 \tabularnewline
92 & 405 & 393.841002336437 & 11.1589976635631 \tabularnewline
93 & 355 & 351.895368484845 & 3.10463151515455 \tabularnewline
94 & 306 & 308.227400182515 & -2.22740018251483 \tabularnewline
95 & 271 & 266.548321197281 & 4.45167880271862 \tabularnewline
96 & 306 & 309.229239358864 & -3.22923935886399 \tabularnewline
97 & 315 & 314.829579615657 & 0.170420384342776 \tabularnewline
98 & 301 & 304.046984776360 & -3.04698477636032 \tabularnewline
99 & 356 & 348.440752227457 & 7.55924777254279 \tabularnewline
100 & 348 & 348.516511754091 & -0.5165117540908 \tabularnewline
101 & 355 & 354.183314443022 & 0.81668555697837 \tabularnewline
102 & 422 & 413.321177120566 & 8.67882287943371 \tabularnewline
103 & 465 & 460.901371478958 & 4.09862852104231 \tabularnewline
104 & 467 & 447.956278613358 & 19.0437213866424 \tabularnewline
105 & 404 & 396.788042935545 & 7.21195706445536 \tabularnewline
106 & 347 & 344.778789964379 & 2.22121003562074 \tabularnewline
107 & 305 & 303.740976896175 & 1.25902310382537 \tabularnewline
108 & 336 & 345.057657654639 & -9.05765765463929 \tabularnewline
109 & 340 & 352.101440452606 & -12.1014404526057 \tabularnewline
110 & 318 & 334.349057334057 & -16.3490573340572 \tabularnewline
111 & 362 & 386.496757849826 & -24.4967578498258 \tabularnewline
112 & 348 & 371.824983369092 & -23.8249833690921 \tabularnewline
113 & 363 & 371.88300074848 & -8.88300074847996 \tabularnewline
114 & 435 & 435.460725333532 & -0.460725333531684 \tabularnewline
115 & 491 & 478.485397302471 & 12.5146026975285 \tabularnewline
116 & 505 & 476.532772464755 & 28.4672275352454 \tabularnewline
117 & 404 & 417.38054896059 & -13.3805489605897 \tabularnewline
118 & 359 & 354.672832099537 & 4.3271679004626 \tabularnewline
119 & 310 & 312.158635349119 & -2.15863534911881 \tabularnewline
120 & 337 & 346.306881338648 & -9.30688133864777 \tabularnewline
121 & 360 & 351.043415799218 & 8.95658420078223 \tabularnewline
122 & 342 & 335.3044472583 & 6.69555274170017 \tabularnewline
123 & 406 & 390.89400421288 & 15.1059957871199 \tabularnewline
124 & 396 & 386.459019026098 & 9.5409809739022 \tabularnewline
125 & 420 & 406.896340795887 & 13.1036592041131 \tabularnewline
126 & 472 & 491.070479548327 & -19.0704795483272 \tabularnewline
127 & 548 & 543.142014933589 & 4.85798506641106 \tabularnewline
128 & 559 & 549.377711199274 & 9.62228880072553 \tabularnewline
129 & 463 & 449.029752197355 & 13.9702478026455 \tabularnewline
130 & 407 & 399.45541788503 & 7.5445821149699 \tabularnewline
131 & 362 & 347.975060661832 & 14.0249393381676 \tabularnewline
132 & 405 & 386.08532467554 & 18.9146753244597 \tabularnewline
133 & 417 & 413.28687274385 & 3.7131272561499 \tabularnewline
134 & 391 & 391.752860004379 & -0.752860004379386 \tabularnewline
135 & 419 & 459.317214052471 & -40.3172140524709 \tabularnewline
136 & 461 & 434.693358199415 & 26.3066418005853 \tabularnewline
137 & 472 & 464.279874552552 & 7.72012544744837 \tabularnewline
138 & 535 & 533.158503024146 & 1.84149697585428 \tabularnewline
139 & 622 & 615.387134392081 & 6.61286560791859 \tabularnewline
140 & 606 & 626.140064584157 & -20.1400645841572 \tabularnewline
141 & 508 & 509.020761738341 & -1.02076173834143 \tabularnewline
142 & 461 & 445.270715734584 & 15.7292842654155 \tabularnewline
143 & 390 & 394.727036901138 & -4.72703690113809 \tabularnewline
144 & 432 & 433.867514911904 & -1.86751491190398 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10750&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]7.62891501092015[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]120.178100844322[/C][C]5.82189915567754[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]136.542725454413[/C][C]4.45727454558738[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.481583629579[/C][C]2.51841637042088[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]124.285661006030[/C][C]0.714338993970415[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]149.172962641139[/C][C]-0.172962641138525[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]170.015932902319[/C][C]-0.0159329023193209[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]169.789341636774[/C][C]0.210658363226145[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]157.342395202648[/C][C]0.657604797352178[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]132.031002084669[/C][C]0.968997915330988[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]112.617969885674[/C][C]1.38203011432574[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]137.811799692617[/C][C]2.18820030738303[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]141.869270296047[/C][C]3.13072970395265[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]154.230670503883[/C][C]-4.23067050388335[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]169.578736890564[/C][C]8.42126310943615[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]163.535279134548[/C][C]-0.53527913454775[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]150.880280045629[/C][C]21.1197199543707[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]186.563274816568[/C][C]-8.56327481656808[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]209.729942557624[/C][C]-10.7299425576245[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]206.262536204416[/C][C]-7.26253620441608[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]189.192943072255[/C][C]-5.19294307225505[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]157.373126462438[/C][C]4.62687353756198[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]135.202159118603[/C][C]10.7978408813968[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]168.589898544461[/C][C]-2.58989854446054[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.425057807298[/C][C]-1.4250578072984[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]179.798110195103[/C][C]0.201889804897291[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]208.778128013111[/C][C]-15.7781280131105[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]187.887029385977[/C][C]-6.88702938597666[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]186.514735444686[/C][C]-3.51473544468621[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]197.083571560435[/C][C]20.9164284395648[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]229.718791673841[/C][C]0.281208326158975[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]231.307868523757[/C][C]10.6921314762426[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]217.760016067638[/C][C]-8.760016067638[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.859841715794[/C][C]4.14015828420614[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]164.881790829373[/C][C]7.11820917062684[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]191.760520633402[/C][C]2.23947936659772[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.225633501461[/C][C]-2.22563350146129[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]207.499397891270[/C][C]-11.4993978912703[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]225.085803036303[/C][C]10.9141969636969[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.993585475695[/C][C]20.0064145243045[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]223.514682064813[/C][C]5.48531793518654[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]257.580294276997[/C][C]-14.580294276997[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]269.438427422852[/C][C]-5.43842742285165[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]277.013533669516[/C][C]-5.01353366951633[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]242.283067701004[/C][C]-5.28306770100352[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]217.26966644941[/C][C]-6.2696664494101[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.255685703346[/C][C]-11.2556857033463[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]211.817969221856[/C][C]-10.8179692218559[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.761924088343[/C][C]-7.76192408834271[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.438092509385[/C][C]-25.438092509385[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]242.602402461502[/C][C]-7.60240246150227[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]232.273607722294[/C][C]-5.27360772229409[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.192995903838[/C][C]9.80700409616168[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]245.921776059523[/C][C]18.0782239404773[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]272.687295813742[/C][C]29.3127041862583[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]290.264489889345[/C][C]2.73551011065513[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]254.877026675448[/C][C]4.12297332455199[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]229.645523391416[/C][C]-0.645523391416248[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]199.350846341409[/C][C]3.64915365859133[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.549285493568[/C][C]2.45071450643229[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.477640270737[/C][C]9.52235972926283[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]225.829212707355[/C][C]7.17078729264486[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.583524923987[/C][C]-17.5835249239866[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.656501420331[/C][C]-2.65650142033064[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.320820653381[/C][C]-4.32082065338085[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.240966124434[/C][C]13.7590338755660[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.925346125484[/C][C]26.0746538745155[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]336.450473308564[/C][C]10.5495266914356[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.365793573789[/C][C]13.6342064262112[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.705069940284[/C][C]6.29493005971631[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]237.161751900662[/C][C]-0.161751900661926[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.805564118881[/C][C]11.1944358811188[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.262372712095[/C][C]2.73762728790541[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.324012372139[/C][C]7.67598762786082[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]319.086032989223[/C][C]-2.08603298922259[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]320.134667969163[/C][C]-7.1346679691627[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]320.883864334419[/C][C]-2.8838643344194[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]366.808235997134[/C][C]7.1917640028663[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]416.186680240357[/C][C]-3.18668024035730[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]393.841002336437[/C][C]11.1589976635631[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]351.895368484845[/C][C]3.10463151515455[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.227400182515[/C][C]-2.22740018251483[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.548321197281[/C][C]4.45167880271862[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.229239358864[/C][C]-3.22923935886399[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]314.829579615657[/C][C]0.170420384342776[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.046984776360[/C][C]-3.04698477636032[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]348.440752227457[/C][C]7.55924777254279[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]348.516511754091[/C][C]-0.5165117540908[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]354.183314443022[/C][C]0.81668555697837[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]413.321177120566[/C][C]8.67882287943371[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]460.901371478958[/C][C]4.09862852104231[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]447.956278613358[/C][C]19.0437213866424[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]396.788042935545[/C][C]7.21195706445536[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]344.778789964379[/C][C]2.22121003562074[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]303.740976896175[/C][C]1.25902310382537[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.057657654639[/C][C]-9.05765765463929[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.101440452606[/C][C]-12.1014404526057[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.349057334057[/C][C]-16.3490573340572[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.496757849826[/C][C]-24.4967578498258[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]371.824983369092[/C][C]-23.8249833690921[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]371.88300074848[/C][C]-8.88300074847996[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.460725333532[/C][C]-0.460725333531684[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.485397302471[/C][C]12.5146026975285[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.532772464755[/C][C]28.4672275352454[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.38054896059[/C][C]-13.3805489605897[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.672832099537[/C][C]4.3271679004626[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]312.158635349119[/C][C]-2.15863534911881[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]346.306881338648[/C][C]-9.30688133864777[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]351.043415799218[/C][C]8.95658420078223[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]335.3044472583[/C][C]6.69555274170017[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.89400421288[/C][C]15.1059957871199[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.459019026098[/C][C]9.5409809739022[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]406.896340795887[/C][C]13.1036592041131[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.070479548327[/C][C]-19.0704795483272[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.142014933589[/C][C]4.85798506641106[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.377711199274[/C][C]9.62228880072553[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.029752197355[/C][C]13.9702478026455[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.45541788503[/C][C]7.5445821149699[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]347.975060661832[/C][C]14.0249393381676[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.08532467554[/C][C]18.9146753244597[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.28687274385[/C][C]3.7131272561499[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]391.752860004379[/C][C]-0.752860004379386[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]459.317214052471[/C][C]-40.3172140524709[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]434.693358199415[/C][C]26.3066418005853[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]464.279874552552[/C][C]7.72012544744837[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]533.158503024146[/C][C]1.84149697585428[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]615.387134392081[/C][C]6.61286560791859[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]626.140064584157[/C][C]-20.1400645841572[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]509.020761738341[/C][C]-1.02076173834143[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]445.270715734584[/C][C]15.7292842654155[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]394.727036901138[/C][C]-4.72703690113809[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]433.867514911904[/C][C]-1.86751491190398[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10750&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10750&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
13115107.3710849890807.62891501092015
14126120.1781008443225.82189915567754
15141136.5427254544134.45727454558738
16135132.4815836295792.51841637042088
17125124.2856610060300.714338993970415
18149149.172962641139-0.172962641138525
19170170.015932902319-0.0159329023193209
20170169.7893416367740.210658363226145
21158157.3423952026480.657604797352178
22133132.0310020846690.968997915330988
23114112.6179698856741.38203011432574
24140137.8117996926172.18820030738303
25145141.8692702960473.13072970395265
26150154.230670503883-4.23067050388335
27178169.5787368905648.42126310943615
28163163.535279134548-0.53527913454775
29172150.88028004562921.1197199543707
30178186.563274816568-8.56327481656808
31199209.729942557624-10.7299425576245
32199206.262536204416-7.26253620441608
33184189.192943072255-5.19294307225505
34162157.3731264624384.62687353756198
35146135.20215911860310.7978408813968
36166168.589898544461-2.58989854446054
37171172.425057807298-1.4250578072984
38180179.7981101951030.201889804897291
39193208.778128013111-15.7781280131105
40181187.887029385977-6.88702938597666
41183186.514735444686-3.51473544468621
42218197.08357156043520.9164284395648
43230229.7187916738410.281208326158975
44242231.30786852375710.6921314762426
45209217.760016067638-8.760016067638
46191186.8598417157944.14015828420614
47172164.8817908293737.11820917062684
48194191.7605206334022.23947936659772
49196198.225633501461-2.22563350146129
50196207.499397891270-11.4993978912703
51236225.08580303630310.9141969636969
52235214.99358547569520.0064145243045
53229223.5146820648135.48531793518654
54243257.580294276997-14.580294276997
55264269.438427422852-5.43842742285165
56272277.013533669516-5.01353366951633
57237242.283067701004-5.28306770100352
58211217.26966644941-6.2696664494101
59180191.255685703346-11.2556857033463
60201211.817969221856-10.8179692218559
61204211.761924088343-7.76192408834271
62188213.438092509385-25.438092509385
63235242.602402461502-7.60240246150227
64227232.273607722294-5.27360772229409
65234224.1929959038389.80700409616168
66264245.92177605952318.0782239404773
67302272.68729581374229.3127041862583
68293290.2644898893452.73551011065513
69259254.8770266754484.12297332455199
70229229.645523391416-0.645523391416248
71203199.3508463414093.64915365859133
72229226.5492854935682.45071450643229
73242232.4776402707379.52235972926283
74233225.8292127073557.17078729264486
75267284.583524923987-17.5835249239866
76269271.656501420331-2.65650142033064
77270274.320820653381-4.32082065338085
78315301.24096612443413.7590338755660
79364337.92534612548426.0746538745155
80347336.45047330856410.5495266914356
81312298.36579357378913.6342064262112
82274267.7050699402846.29493005971631
83237237.161751900662-0.161751900661926
84278266.80556411888111.1944358811188
85284281.2623727120952.73762728790541
86277269.3240123721397.67598762786082
87317319.086032989223-2.08603298922259
88313320.134667969163-7.1346679691627
89318320.883864334419-2.8838643344194
90374366.8082359971347.1917640028663
91413416.186680240357-3.18668024035730
92405393.84100233643711.1589976635631
93355351.8953684848453.10463151515455
94306308.227400182515-2.22740018251483
95271266.5483211972814.45167880271862
96306309.229239358864-3.22923935886399
97315314.8295796156570.170420384342776
98301304.046984776360-3.04698477636032
99356348.4407522274577.55924777254279
100348348.516511754091-0.5165117540908
101355354.1833144430220.81668555697837
102422413.3211771205668.67882287943371
103465460.9013714789584.09862852104231
104467447.95627861335819.0437213866424
105404396.7880429355457.21195706445536
106347344.7787899643792.22121003562074
107305303.7409768961751.25902310382537
108336345.057657654639-9.05765765463929
109340352.101440452606-12.1014404526057
110318334.349057334057-16.3490573340572
111362386.496757849826-24.4967578498258
112348371.824983369092-23.8249833690921
113363371.88300074848-8.88300074847996
114435435.460725333532-0.460725333531684
115491478.48539730247112.5146026975285
116505476.53277246475528.4672275352454
117404417.38054896059-13.3805489605897
118359354.6728320995374.3271679004626
119310312.158635349119-2.15863534911881
120337346.306881338648-9.30688133864777
121360351.0434157992188.95658420078223
122342335.30444725836.69555274170017
123406390.8940042128815.1059957871199
124396386.4590190260989.5409809739022
125420406.89634079588713.1036592041131
126472491.070479548327-19.0704795483272
127548543.1420149335894.85798506641106
128559549.3777111992749.62228880072553
129463449.02975219735513.9702478026455
130407399.455417885037.5445821149699
131362347.97506066183214.0249393381676
132405386.0853246755418.9146753244597
133417413.286872743853.7131272561499
134391391.752860004379-0.752860004379386
135419459.317214052471-40.3172140524709
136461434.69335819941526.3066418005853
137472464.2798745525527.72012544744837
138535533.1585030241461.84149697585428
139622615.3871343920816.61286560791859
140606626.140064584157-20.1400645841572
141508509.020761738341-1.02076173834143
142461445.27071573458415.7292842654155
143390394.727036901138-4.72703690113809
144432433.867514911904-1.86751491190398







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145446.397513472092426.688822667634466.10620427655
146418.986547994825398.484502103232439.488593886419
147463.749707173368442.006591734538485.492822612197
148494.965042338409471.988876595052517.941208081766
149506.122949107584482.136276962898530.109621252269
150573.550385932582547.468799011193599.631972853971
151664.139122101699635.212683081081693.065561122317
152655.087901982859625.606479534423684.569324431296
153547.726606144639520.214971584962575.238240704316
154490.510674033967463.69427880187517.327069266064
155417.874494194049392.190619526104443.558368861994
156462.91197975764442.309981214744483.513978300535

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 446.397513472092 & 426.688822667634 & 466.10620427655 \tabularnewline
146 & 418.986547994825 & 398.484502103232 & 439.488593886419 \tabularnewline
147 & 463.749707173368 & 442.006591734538 & 485.492822612197 \tabularnewline
148 & 494.965042338409 & 471.988876595052 & 517.941208081766 \tabularnewline
149 & 506.122949107584 & 482.136276962898 & 530.109621252269 \tabularnewline
150 & 573.550385932582 & 547.468799011193 & 599.631972853971 \tabularnewline
151 & 664.139122101699 & 635.212683081081 & 693.065561122317 \tabularnewline
152 & 655.087901982859 & 625.606479534423 & 684.569324431296 \tabularnewline
153 & 547.726606144639 & 520.214971584962 & 575.238240704316 \tabularnewline
154 & 490.510674033967 & 463.69427880187 & 517.327069266064 \tabularnewline
155 & 417.874494194049 & 392.190619526104 & 443.558368861994 \tabularnewline
156 & 462.91197975764 & 442.309981214744 & 483.513978300535 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10750&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]446.397513472092[/C][C]426.688822667634[/C][C]466.10620427655[/C][/ROW]
[ROW][C]146[/C][C]418.986547994825[/C][C]398.484502103232[/C][C]439.488593886419[/C][/ROW]
[ROW][C]147[/C][C]463.749707173368[/C][C]442.006591734538[/C][C]485.492822612197[/C][/ROW]
[ROW][C]148[/C][C]494.965042338409[/C][C]471.988876595052[/C][C]517.941208081766[/C][/ROW]
[ROW][C]149[/C][C]506.122949107584[/C][C]482.136276962898[/C][C]530.109621252269[/C][/ROW]
[ROW][C]150[/C][C]573.550385932582[/C][C]547.468799011193[/C][C]599.631972853971[/C][/ROW]
[ROW][C]151[/C][C]664.139122101699[/C][C]635.212683081081[/C][C]693.065561122317[/C][/ROW]
[ROW][C]152[/C][C]655.087901982859[/C][C]625.606479534423[/C][C]684.569324431296[/C][/ROW]
[ROW][C]153[/C][C]547.726606144639[/C][C]520.214971584962[/C][C]575.238240704316[/C][/ROW]
[ROW][C]154[/C][C]490.510674033967[/C][C]463.69427880187[/C][C]517.327069266064[/C][/ROW]
[ROW][C]155[/C][C]417.874494194049[/C][C]392.190619526104[/C][C]443.558368861994[/C][/ROW]
[ROW][C]156[/C][C]462.91197975764[/C][C]442.309981214744[/C][C]483.513978300535[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10750&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10750&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
145446.397513472092426.688822667634466.10620427655
146418.986547994825398.484502103232439.488593886419
147463.749707173368442.006591734538485.492822612197
148494.965042338409471.988876595052517.941208081766
149506.122949107584482.136276962898530.109621252269
150573.550385932582547.468799011193599.631972853971
151664.139122101699635.212683081081693.065561122317
152655.087901982859625.606479534423684.569324431296
153547.726606144639520.214971584962575.238240704316
154490.510674033967463.69427880187517.327069266064
155417.874494194049392.190619526104443.558368861994
156462.91197975764442.309981214744483.513978300535



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')