Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 08 Aug 2013 07:43:34 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/08/t13759622951or98fn6dufm5aw.htm/, Retrieved Mon, 29 Apr 2024 10:00:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210999, Retrieved Mon, 29 Apr 2024 10:00:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact167
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2013-08-08 11:43:34] [4d26c4233714d8e4ecf99606d744931b] [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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210999&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210999&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210999&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.275592474736482
beta0.0326929527336248
gamma0.870729222265356

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.275592474736482 \tabularnewline
beta & 0.0326929527336248 \tabularnewline
gamma & 0.870729222265356 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210999&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]0.275592474736482[/C][/ROW]
[ROW][C]beta[/C][C]0.0326929527336248[/C][/ROW]
[ROW][C]gamma[/C][C]0.870729222265356[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210999&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210999&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
alpha0.275592474736482
beta0.0326929527336248
gamma0.870729222265356







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115111.0818087088673.91819129113323
14126122.3314521410863.66854785891375
15141137.4390125699013.56098743009872
16135132.3233803453822.67661965461849
17125123.4796804627291.52031953727052
18149147.6672883148711.33271168512874
19170162.4432437124737.55675628752655
20170165.5295896133234.47041038667743
21158153.8877122942514.11228770574891
22133136.318641448734-3.31864144873435
23114119.090610790114-5.09061079011437
24140133.9887199504976.01128004950252
25145134.8303682899210.16963171008
26150149.7051434413660.294856558633825
27178166.5408259996611.4591740003399
28163161.749728378191.25027162181047
29172149.75750799304222.2424920069584
30178185.647723596326-7.64772359632616
31199206.262153619029-7.26215361902862
32199203.180886325984-4.18088632598446
33184186.419252204205-2.41925220420524
34162158.147799136753.85220086325032
35146138.3687281983267.63127180167447
36166169.141340932278-3.14134093227756
37171170.3609415353520.639058464648485
38180177.4381904723682.56180952763228
39193206.247937478342-13.2479374783417
40181185.960743337434-4.96074333743397
41183184.798362273962-1.79836227396243
42218195.68439550541322.3156044945871
43230227.4983977187982.50160228120185
44242229.0047717894412.99522821056
45209215.630984242779-6.63098424277877
46191186.2865973703114.71340262968926
47172166.0376427611415.9623572388594
48194192.8425176702151.15748232978453
49196198.309951792615-2.30995179261473
50196206.984490574542-10.9844905745421
51236224.19296559617111.8070344038292
52235214.06542383627120.9345761637294
53229222.6752396896286.32476031037231
54243256.737994926104-13.7379949261037
55264268.358000825087-4.35800082508734
56272275.595138563008-3.59513856300828
57237240.950054518824-3.95005451882361
58211216.418708751082-5.41870875108208
59180191.302349202138-11.3023492021381
60201212.165209086808-11.1652090868085
61204211.884606924298-7.88460692429757
62188213.278507450619-25.2785074506189
63235241.844292266095-6.84429226609501
64227231.126648633709-4.12664863370898
65234222.84757726495111.1524227350493
66264244.40358955612919.5964104438712
67302270.92543012229431.0745698777057
68293288.4632810039964.5367189960038
69259253.3255645210375.67443547896278
70229228.4572337108620.542766289138285
71203198.7667231438084.23327685619248
72229226.3253681439922.67463185600812
73242232.5076924006819.49230759931945
74233226.1554874965546.84451250344586
75267284.984109809789-17.9841098097895
76269271.954044414962-2.95404441496231
77270274.414349879446-4.41434987944558
78315301.11087591275613.8891240872443
79364337.48148021720726.5185197827932
80347335.98553316203711.0144668379627
81312297.83666607185414.1633339281457
82274267.3004454650886.69955453491195
83237236.9925431354410.00745686455874761
84278266.90068916338711.0993108366132
85284281.6339259082842.36607409171592
86277269.96724589067.03275410939972
87317320.174999871827-3.17499987182669
88313321.276899149147-8.27689914914714
89318322.045741325618-4.04574132561817
90374367.9511784742516.04882152574879
91413417.203225397334-4.20322539733377
92405394.60624771341610.3937522865844
93355352.3066553368652.69334466313461
94306308.44980888123-2.44980888123007
95271266.696337801514.30366219848986
96306309.394161372703-3.39416137270325
97315315.103179025905-0.103179025904751
98301304.405357956349-3.40535795634855
99356349.0582018178686.941798182132
100348349.292551021804-1.29255102180434
101355355.073176743194-0.073176743193585
102422414.3609222660967.63907773390383
103465462.0911466439342.90885335606589
104467448.97970596848818.0202940315119
105404397.6350103800216.36498961997916
106347345.4509781177961.54902188220382
107305304.2430386145010.756961385498755
108336345.615242815442-9.61524281544212
109340352.616294292296-12.6162942922957
110318334.810889595363-16.8108895953633
111362386.941371143569-24.9413711435694
112348372.190854481381-24.1908544813805
113363372.090123849995-9.09012384999534
114435435.498537075608-0.49853707560834
115491478.41838352541212.5816164745884
116505476.29773642868928.7022635713109
117404417.219138602201-13.219138602201
118359354.4369064406424.56309355935804
119310311.87647452998-1.8764745299797
120337345.975126181844-8.97512618184402
121360350.6430688312539.35693116874671
122342334.9945865126537.00541348734674
123406390.68587883978515.3141211602154
124396386.4988634128159.50113658718476
125420407.130739664612.8692603354004
126472491.604975308889-19.6049753088889
127548543.7800223198784.21997768012193
128559549.9352939996059.06470600039495
129463449.63876988831813.3612301116821
130407399.9130272672647.08697273273566
131362348.39721511660913.6027848833913
132405386.65209391144118.3479060885589
133417413.9167645634693.08323543653114
134391392.451160571743-1.45116057174295
135419460.170501367301-41.1705013673007
136461435.42179027207125.5782097279285
137472465.0951127316976.90488726830318
138535534.3527108703280.647289129672004
139622616.7353556376065.26464436239382
140606627.551048082553-21.5510480825526
141508510.133147348624-2.13314734862428
142461446.16280294352414.8371970564757
143390395.452817646611-5.45281764661138
144432434.572462781258-2.57246278125848

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 111.081808708867 & 3.91819129113323 \tabularnewline
14 & 126 & 122.331452141086 & 3.66854785891375 \tabularnewline
15 & 141 & 137.439012569901 & 3.56098743009872 \tabularnewline
16 & 135 & 132.323380345382 & 2.67661965461849 \tabularnewline
17 & 125 & 123.479680462729 & 1.52031953727052 \tabularnewline
18 & 149 & 147.667288314871 & 1.33271168512874 \tabularnewline
19 & 170 & 162.443243712473 & 7.55675628752655 \tabularnewline
20 & 170 & 165.529589613323 & 4.47041038667743 \tabularnewline
21 & 158 & 153.887712294251 & 4.11228770574891 \tabularnewline
22 & 133 & 136.318641448734 & -3.31864144873435 \tabularnewline
23 & 114 & 119.090610790114 & -5.09061079011437 \tabularnewline
24 & 140 & 133.988719950497 & 6.01128004950252 \tabularnewline
25 & 145 & 134.83036828992 & 10.16963171008 \tabularnewline
26 & 150 & 149.705143441366 & 0.294856558633825 \tabularnewline
27 & 178 & 166.54082599966 & 11.4591740003399 \tabularnewline
28 & 163 & 161.74972837819 & 1.25027162181047 \tabularnewline
29 & 172 & 149.757507993042 & 22.2424920069584 \tabularnewline
30 & 178 & 185.647723596326 & -7.64772359632616 \tabularnewline
31 & 199 & 206.262153619029 & -7.26215361902862 \tabularnewline
32 & 199 & 203.180886325984 & -4.18088632598446 \tabularnewline
33 & 184 & 186.419252204205 & -2.41925220420524 \tabularnewline
34 & 162 & 158.14779913675 & 3.85220086325032 \tabularnewline
35 & 146 & 138.368728198326 & 7.63127180167447 \tabularnewline
36 & 166 & 169.141340932278 & -3.14134093227756 \tabularnewline
37 & 171 & 170.360941535352 & 0.639058464648485 \tabularnewline
38 & 180 & 177.438190472368 & 2.56180952763228 \tabularnewline
39 & 193 & 206.247937478342 & -13.2479374783417 \tabularnewline
40 & 181 & 185.960743337434 & -4.96074333743397 \tabularnewline
41 & 183 & 184.798362273962 & -1.79836227396243 \tabularnewline
42 & 218 & 195.684395505413 & 22.3156044945871 \tabularnewline
43 & 230 & 227.498397718798 & 2.50160228120185 \tabularnewline
44 & 242 & 229.00477178944 & 12.99522821056 \tabularnewline
45 & 209 & 215.630984242779 & -6.63098424277877 \tabularnewline
46 & 191 & 186.286597370311 & 4.71340262968926 \tabularnewline
47 & 172 & 166.037642761141 & 5.9623572388594 \tabularnewline
48 & 194 & 192.842517670215 & 1.15748232978453 \tabularnewline
49 & 196 & 198.309951792615 & -2.30995179261473 \tabularnewline
50 & 196 & 206.984490574542 & -10.9844905745421 \tabularnewline
51 & 236 & 224.192965596171 & 11.8070344038292 \tabularnewline
52 & 235 & 214.065423836271 & 20.9345761637294 \tabularnewline
53 & 229 & 222.675239689628 & 6.32476031037231 \tabularnewline
54 & 243 & 256.737994926104 & -13.7379949261037 \tabularnewline
55 & 264 & 268.358000825087 & -4.35800082508734 \tabularnewline
56 & 272 & 275.595138563008 & -3.59513856300828 \tabularnewline
57 & 237 & 240.950054518824 & -3.95005451882361 \tabularnewline
58 & 211 & 216.418708751082 & -5.41870875108208 \tabularnewline
59 & 180 & 191.302349202138 & -11.3023492021381 \tabularnewline
60 & 201 & 212.165209086808 & -11.1652090868085 \tabularnewline
61 & 204 & 211.884606924298 & -7.88460692429757 \tabularnewline
62 & 188 & 213.278507450619 & -25.2785074506189 \tabularnewline
63 & 235 & 241.844292266095 & -6.84429226609501 \tabularnewline
64 & 227 & 231.126648633709 & -4.12664863370898 \tabularnewline
65 & 234 & 222.847577264951 & 11.1524227350493 \tabularnewline
66 & 264 & 244.403589556129 & 19.5964104438712 \tabularnewline
67 & 302 & 270.925430122294 & 31.0745698777057 \tabularnewline
68 & 293 & 288.463281003996 & 4.5367189960038 \tabularnewline
69 & 259 & 253.325564521037 & 5.67443547896278 \tabularnewline
70 & 229 & 228.457233710862 & 0.542766289138285 \tabularnewline
71 & 203 & 198.766723143808 & 4.23327685619248 \tabularnewline
72 & 229 & 226.325368143992 & 2.67463185600812 \tabularnewline
73 & 242 & 232.507692400681 & 9.49230759931945 \tabularnewline
74 & 233 & 226.155487496554 & 6.84451250344586 \tabularnewline
75 & 267 & 284.984109809789 & -17.9841098097895 \tabularnewline
76 & 269 & 271.954044414962 & -2.95404441496231 \tabularnewline
77 & 270 & 274.414349879446 & -4.41434987944558 \tabularnewline
78 & 315 & 301.110875912756 & 13.8891240872443 \tabularnewline
79 & 364 & 337.481480217207 & 26.5185197827932 \tabularnewline
80 & 347 & 335.985533162037 & 11.0144668379627 \tabularnewline
81 & 312 & 297.836666071854 & 14.1633339281457 \tabularnewline
82 & 274 & 267.300445465088 & 6.69955453491195 \tabularnewline
83 & 237 & 236.992543135441 & 0.00745686455874761 \tabularnewline
84 & 278 & 266.900689163387 & 11.0993108366132 \tabularnewline
85 & 284 & 281.633925908284 & 2.36607409171592 \tabularnewline
86 & 277 & 269.9672458906 & 7.03275410939972 \tabularnewline
87 & 317 & 320.174999871827 & -3.17499987182669 \tabularnewline
88 & 313 & 321.276899149147 & -8.27689914914714 \tabularnewline
89 & 318 & 322.045741325618 & -4.04574132561817 \tabularnewline
90 & 374 & 367.951178474251 & 6.04882152574879 \tabularnewline
91 & 413 & 417.203225397334 & -4.20322539733377 \tabularnewline
92 & 405 & 394.606247713416 & 10.3937522865844 \tabularnewline
93 & 355 & 352.306655336865 & 2.69334466313461 \tabularnewline
94 & 306 & 308.44980888123 & -2.44980888123007 \tabularnewline
95 & 271 & 266.69633780151 & 4.30366219848986 \tabularnewline
96 & 306 & 309.394161372703 & -3.39416137270325 \tabularnewline
97 & 315 & 315.103179025905 & -0.103179025904751 \tabularnewline
98 & 301 & 304.405357956349 & -3.40535795634855 \tabularnewline
99 & 356 & 349.058201817868 & 6.941798182132 \tabularnewline
100 & 348 & 349.292551021804 & -1.29255102180434 \tabularnewline
101 & 355 & 355.073176743194 & -0.073176743193585 \tabularnewline
102 & 422 & 414.360922266096 & 7.63907773390383 \tabularnewline
103 & 465 & 462.091146643934 & 2.90885335606589 \tabularnewline
104 & 467 & 448.979705968488 & 18.0202940315119 \tabularnewline
105 & 404 & 397.635010380021 & 6.36498961997916 \tabularnewline
106 & 347 & 345.450978117796 & 1.54902188220382 \tabularnewline
107 & 305 & 304.243038614501 & 0.756961385498755 \tabularnewline
108 & 336 & 345.615242815442 & -9.61524281544212 \tabularnewline
109 & 340 & 352.616294292296 & -12.6162942922957 \tabularnewline
110 & 318 & 334.810889595363 & -16.8108895953633 \tabularnewline
111 & 362 & 386.941371143569 & -24.9413711435694 \tabularnewline
112 & 348 & 372.190854481381 & -24.1908544813805 \tabularnewline
113 & 363 & 372.090123849995 & -9.09012384999534 \tabularnewline
114 & 435 & 435.498537075608 & -0.49853707560834 \tabularnewline
115 & 491 & 478.418383525412 & 12.5816164745884 \tabularnewline
116 & 505 & 476.297736428689 & 28.7022635713109 \tabularnewline
117 & 404 & 417.219138602201 & -13.219138602201 \tabularnewline
118 & 359 & 354.436906440642 & 4.56309355935804 \tabularnewline
119 & 310 & 311.87647452998 & -1.8764745299797 \tabularnewline
120 & 337 & 345.975126181844 & -8.97512618184402 \tabularnewline
121 & 360 & 350.643068831253 & 9.35693116874671 \tabularnewline
122 & 342 & 334.994586512653 & 7.00541348734674 \tabularnewline
123 & 406 & 390.685878839785 & 15.3141211602154 \tabularnewline
124 & 396 & 386.498863412815 & 9.50113658718476 \tabularnewline
125 & 420 & 407.1307396646 & 12.8692603354004 \tabularnewline
126 & 472 & 491.604975308889 & -19.6049753088889 \tabularnewline
127 & 548 & 543.780022319878 & 4.21997768012193 \tabularnewline
128 & 559 & 549.935293999605 & 9.06470600039495 \tabularnewline
129 & 463 & 449.638769888318 & 13.3612301116821 \tabularnewline
130 & 407 & 399.913027267264 & 7.08697273273566 \tabularnewline
131 & 362 & 348.397215116609 & 13.6027848833913 \tabularnewline
132 & 405 & 386.652093911441 & 18.3479060885589 \tabularnewline
133 & 417 & 413.916764563469 & 3.08323543653114 \tabularnewline
134 & 391 & 392.451160571743 & -1.45116057174295 \tabularnewline
135 & 419 & 460.170501367301 & -41.1705013673007 \tabularnewline
136 & 461 & 435.421790272071 & 25.5782097279285 \tabularnewline
137 & 472 & 465.095112731697 & 6.90488726830318 \tabularnewline
138 & 535 & 534.352710870328 & 0.647289129672004 \tabularnewline
139 & 622 & 616.735355637606 & 5.26464436239382 \tabularnewline
140 & 606 & 627.551048082553 & -21.5510480825526 \tabularnewline
141 & 508 & 510.133147348624 & -2.13314734862428 \tabularnewline
142 & 461 & 446.162802943524 & 14.8371970564757 \tabularnewline
143 & 390 & 395.452817646611 & -5.45281764661138 \tabularnewline
144 & 432 & 434.572462781258 & -2.57246278125848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210999&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]111.081808708867[/C][C]3.91819129113323[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.331452141086[/C][C]3.66854785891375[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.439012569901[/C][C]3.56098743009872[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.323380345382[/C][C]2.67661965461849[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.479680462729[/C][C]1.52031953727052[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.667288314871[/C][C]1.33271168512874[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]162.443243712473[/C][C]7.55675628752655[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]165.529589613323[/C][C]4.47041038667743[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.887712294251[/C][C]4.11228770574891[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]136.318641448734[/C][C]-3.31864144873435[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]119.090610790114[/C][C]-5.09061079011437[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]133.988719950497[/C][C]6.01128004950252[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]134.83036828992[/C][C]10.16963171008[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.705143441366[/C][C]0.294856558633825[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]166.54082599966[/C][C]11.4591740003399[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]161.74972837819[/C][C]1.25027162181047[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]149.757507993042[/C][C]22.2424920069584[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]185.647723596326[/C][C]-7.64772359632616[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]206.262153619029[/C][C]-7.26215361902862[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]203.180886325984[/C][C]-4.18088632598446[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]186.419252204205[/C][C]-2.41925220420524[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]158.14779913675[/C][C]3.85220086325032[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]138.368728198326[/C][C]7.63127180167447[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]169.141340932278[/C][C]-3.14134093227756[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]170.360941535352[/C][C]0.639058464648485[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.438190472368[/C][C]2.56180952763228[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]206.247937478342[/C][C]-13.2479374783417[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]185.960743337434[/C][C]-4.96074333743397[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]184.798362273962[/C][C]-1.79836227396243[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]195.684395505413[/C][C]22.3156044945871[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]227.498397718798[/C][C]2.50160228120185[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]229.00477178944[/C][C]12.99522821056[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]215.630984242779[/C][C]-6.63098424277877[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.286597370311[/C][C]4.71340262968926[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]166.037642761141[/C][C]5.9623572388594[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]192.842517670215[/C][C]1.15748232978453[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.309951792615[/C][C]-2.30995179261473[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]206.984490574542[/C][C]-10.9844905745421[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]224.192965596171[/C][C]11.8070344038292[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.065423836271[/C][C]20.9345761637294[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.675239689628[/C][C]6.32476031037231[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]256.737994926104[/C][C]-13.7379949261037[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]268.358000825087[/C][C]-4.35800082508734[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]275.595138563008[/C][C]-3.59513856300828[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]240.950054518824[/C][C]-3.95005451882361[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]216.418708751082[/C][C]-5.41870875108208[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.302349202138[/C][C]-11.3023492021381[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]212.165209086808[/C][C]-11.1652090868085[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.884606924298[/C][C]-7.88460692429757[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.278507450619[/C][C]-25.2785074506189[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]241.844292266095[/C][C]-6.84429226609501[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]231.126648633709[/C][C]-4.12664863370898[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]222.847577264951[/C][C]11.1524227350493[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]244.403589556129[/C][C]19.5964104438712[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]270.925430122294[/C][C]31.0745698777057[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]288.463281003996[/C][C]4.5367189960038[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]253.325564521037[/C][C]5.67443547896278[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.457233710862[/C][C]0.542766289138285[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]198.766723143808[/C][C]4.23327685619248[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.325368143992[/C][C]2.67463185600812[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.507692400681[/C][C]9.49230759931945[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]226.155487496554[/C][C]6.84451250344586[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.984109809789[/C][C]-17.9841098097895[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.954044414962[/C][C]-2.95404441496231[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.414349879446[/C][C]-4.41434987944558[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.110875912756[/C][C]13.8891240872443[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.481480217207[/C][C]26.5185197827932[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]335.985533162037[/C][C]11.0144668379627[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]297.836666071854[/C][C]14.1633339281457[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.300445465088[/C][C]6.69955453491195[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]236.992543135441[/C][C]0.00745686455874761[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.900689163387[/C][C]11.0993108366132[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.633925908284[/C][C]2.36607409171592[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.9672458906[/C][C]7.03275410939972[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]320.174999871827[/C][C]-3.17499987182669[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]321.276899149147[/C][C]-8.27689914914714[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]322.045741325618[/C][C]-4.04574132561817[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]367.951178474251[/C][C]6.04882152574879[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]417.203225397334[/C][C]-4.20322539733377[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]394.606247713416[/C][C]10.3937522865844[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]352.306655336865[/C][C]2.69334466313461[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.44980888123[/C][C]-2.44980888123007[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.69633780151[/C][C]4.30366219848986[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.394161372703[/C][C]-3.39416137270325[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]315.103179025905[/C][C]-0.103179025904751[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.405357956349[/C][C]-3.40535795634855[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]349.058201817868[/C][C]6.941798182132[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]349.292551021804[/C][C]-1.29255102180434[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]355.073176743194[/C][C]-0.073176743193585[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]414.360922266096[/C][C]7.63907773390383[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]462.091146643934[/C][C]2.90885335606589[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]448.979705968488[/C][C]18.0202940315119[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]397.635010380021[/C][C]6.36498961997916[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]345.450978117796[/C][C]1.54902188220382[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]304.243038614501[/C][C]0.756961385498755[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.615242815442[/C][C]-9.61524281544212[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.616294292296[/C][C]-12.6162942922957[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.810889595363[/C][C]-16.8108895953633[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.941371143569[/C][C]-24.9413711435694[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]372.190854481381[/C][C]-24.1908544813805[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]372.090123849995[/C][C]-9.09012384999534[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.498537075608[/C][C]-0.49853707560834[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.418383525412[/C][C]12.5816164745884[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.297736428689[/C][C]28.7022635713109[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.219138602201[/C][C]-13.219138602201[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.436906440642[/C][C]4.56309355935804[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]311.87647452998[/C][C]-1.8764745299797[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]345.975126181844[/C][C]-8.97512618184402[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]350.643068831253[/C][C]9.35693116874671[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]334.994586512653[/C][C]7.00541348734674[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.685878839785[/C][C]15.3141211602154[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.498863412815[/C][C]9.50113658718476[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.1307396646[/C][C]12.8692603354004[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.604975308889[/C][C]-19.6049753088889[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.780022319878[/C][C]4.21997768012193[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.935293999605[/C][C]9.06470600039495[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.638769888318[/C][C]13.3612301116821[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.913027267264[/C][C]7.08697273273566[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]348.397215116609[/C][C]13.6027848833913[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.652093911441[/C][C]18.3479060885589[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.916764563469[/C][C]3.08323543653114[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]392.451160571743[/C][C]-1.45116057174295[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]460.170501367301[/C][C]-41.1705013673007[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]435.421790272071[/C][C]25.5782097279285[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]465.095112731697[/C][C]6.90488726830318[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]534.352710870328[/C][C]0.647289129672004[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]616.735355637606[/C][C]5.26464436239382[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]627.551048082553[/C][C]-21.5510480825526[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.133147348624[/C][C]-2.13314734862428[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]446.162802943524[/C][C]14.8371970564757[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]395.452817646611[/C][C]-5.45281764661138[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]434.572462781258[/C][C]-2.57246278125848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210999&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210999&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
13115111.0818087088673.91819129113323
14126122.3314521410863.66854785891375
15141137.4390125699013.56098743009872
16135132.3233803453822.67661965461849
17125123.4796804627291.52031953727052
18149147.6672883148711.33271168512874
19170162.4432437124737.55675628752655
20170165.5295896133234.47041038667743
21158153.8877122942514.11228770574891
22133136.318641448734-3.31864144873435
23114119.090610790114-5.09061079011437
24140133.9887199504976.01128004950252
25145134.8303682899210.16963171008
26150149.7051434413660.294856558633825
27178166.5408259996611.4591740003399
28163161.749728378191.25027162181047
29172149.75750799304222.2424920069584
30178185.647723596326-7.64772359632616
31199206.262153619029-7.26215361902862
32199203.180886325984-4.18088632598446
33184186.419252204205-2.41925220420524
34162158.147799136753.85220086325032
35146138.3687281983267.63127180167447
36166169.141340932278-3.14134093227756
37171170.3609415353520.639058464648485
38180177.4381904723682.56180952763228
39193206.247937478342-13.2479374783417
40181185.960743337434-4.96074333743397
41183184.798362273962-1.79836227396243
42218195.68439550541322.3156044945871
43230227.4983977187982.50160228120185
44242229.0047717894412.99522821056
45209215.630984242779-6.63098424277877
46191186.2865973703114.71340262968926
47172166.0376427611415.9623572388594
48194192.8425176702151.15748232978453
49196198.309951792615-2.30995179261473
50196206.984490574542-10.9844905745421
51236224.19296559617111.8070344038292
52235214.06542383627120.9345761637294
53229222.6752396896286.32476031037231
54243256.737994926104-13.7379949261037
55264268.358000825087-4.35800082508734
56272275.595138563008-3.59513856300828
57237240.950054518824-3.95005451882361
58211216.418708751082-5.41870875108208
59180191.302349202138-11.3023492021381
60201212.165209086808-11.1652090868085
61204211.884606924298-7.88460692429757
62188213.278507450619-25.2785074506189
63235241.844292266095-6.84429226609501
64227231.126648633709-4.12664863370898
65234222.84757726495111.1524227350493
66264244.40358955612919.5964104438712
67302270.92543012229431.0745698777057
68293288.4632810039964.5367189960038
69259253.3255645210375.67443547896278
70229228.4572337108620.542766289138285
71203198.7667231438084.23327685619248
72229226.3253681439922.67463185600812
73242232.5076924006819.49230759931945
74233226.1554874965546.84451250344586
75267284.984109809789-17.9841098097895
76269271.954044414962-2.95404441496231
77270274.414349879446-4.41434987944558
78315301.11087591275613.8891240872443
79364337.48148021720726.5185197827932
80347335.98553316203711.0144668379627
81312297.83666607185414.1633339281457
82274267.3004454650886.69955453491195
83237236.9925431354410.00745686455874761
84278266.90068916338711.0993108366132
85284281.6339259082842.36607409171592
86277269.96724589067.03275410939972
87317320.174999871827-3.17499987182669
88313321.276899149147-8.27689914914714
89318322.045741325618-4.04574132561817
90374367.9511784742516.04882152574879
91413417.203225397334-4.20322539733377
92405394.60624771341610.3937522865844
93355352.3066553368652.69334466313461
94306308.44980888123-2.44980888123007
95271266.696337801514.30366219848986
96306309.394161372703-3.39416137270325
97315315.103179025905-0.103179025904751
98301304.405357956349-3.40535795634855
99356349.0582018178686.941798182132
100348349.292551021804-1.29255102180434
101355355.073176743194-0.073176743193585
102422414.3609222660967.63907773390383
103465462.0911466439342.90885335606589
104467448.97970596848818.0202940315119
105404397.6350103800216.36498961997916
106347345.4509781177961.54902188220382
107305304.2430386145010.756961385498755
108336345.615242815442-9.61524281544212
109340352.616294292296-12.6162942922957
110318334.810889595363-16.8108895953633
111362386.941371143569-24.9413711435694
112348372.190854481381-24.1908544813805
113363372.090123849995-9.09012384999534
114435435.498537075608-0.49853707560834
115491478.41838352541212.5816164745884
116505476.29773642868928.7022635713109
117404417.219138602201-13.219138602201
118359354.4369064406424.56309355935804
119310311.87647452998-1.8764745299797
120337345.975126181844-8.97512618184402
121360350.6430688312539.35693116874671
122342334.9945865126537.00541348734674
123406390.68587883978515.3141211602154
124396386.4988634128159.50113658718476
125420407.130739664612.8692603354004
126472491.604975308889-19.6049753088889
127548543.7800223198784.21997768012193
128559549.9352939996059.06470600039495
129463449.63876988831813.3612301116821
130407399.9130272672647.08697273273566
131362348.39721511660913.6027848833913
132405386.65209391144118.3479060885589
133417413.9167645634693.08323543653114
134391392.451160571743-1.45116057174295
135419460.170501367301-41.1705013673007
136461435.42179027207125.5782097279285
137472465.0951127316976.90488726830318
138535534.3527108703280.647289129672004
139622616.7353556376065.26464436239382
140606627.551048082553-21.5510480825526
141508510.133147348624-2.13314734862428
142461446.16280294352414.8371970564757
143390395.452817646611-5.45281764661138
144432434.572462781258-2.57246278125848







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145447.055931344911427.306133026705466.805729663116
146419.712279855693399.13258524496440.291974466426
147464.867131095755442.963034360712486.771227830798
148496.083937621018472.832900505225519.334974736812
149507.532637500565483.137513327865531.927761673266
150575.450895961042548.708256350197602.193535571886
151666.59229342041636.628829419511696.555757421308
152657.913718340461627.182084719986688.645351960936
153550.308766448997521.639795163257578.977737734737
154492.985309235293465.015309913885520.955308556702
155420.207279555455393.468778537186446.945780573724
156465.6345009368443.300414442841487.96858743076

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 447.055931344911 & 427.306133026705 & 466.805729663116 \tabularnewline
146 & 419.712279855693 & 399.13258524496 & 440.291974466426 \tabularnewline
147 & 464.867131095755 & 442.963034360712 & 486.771227830798 \tabularnewline
148 & 496.083937621018 & 472.832900505225 & 519.334974736812 \tabularnewline
149 & 507.532637500565 & 483.137513327865 & 531.927761673266 \tabularnewline
150 & 575.450895961042 & 548.708256350197 & 602.193535571886 \tabularnewline
151 & 666.59229342041 & 636.628829419511 & 696.555757421308 \tabularnewline
152 & 657.913718340461 & 627.182084719986 & 688.645351960936 \tabularnewline
153 & 550.308766448997 & 521.639795163257 & 578.977737734737 \tabularnewline
154 & 492.985309235293 & 465.015309913885 & 520.955308556702 \tabularnewline
155 & 420.207279555455 & 393.468778537186 & 446.945780573724 \tabularnewline
156 & 465.6345009368 & 443.300414442841 & 487.96858743076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210999&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]447.055931344911[/C][C]427.306133026705[/C][C]466.805729663116[/C][/ROW]
[ROW][C]146[/C][C]419.712279855693[/C][C]399.13258524496[/C][C]440.291974466426[/C][/ROW]
[ROW][C]147[/C][C]464.867131095755[/C][C]442.963034360712[/C][C]486.771227830798[/C][/ROW]
[ROW][C]148[/C][C]496.083937621018[/C][C]472.832900505225[/C][C]519.334974736812[/C][/ROW]
[ROW][C]149[/C][C]507.532637500565[/C][C]483.137513327865[/C][C]531.927761673266[/C][/ROW]
[ROW][C]150[/C][C]575.450895961042[/C][C]548.708256350197[/C][C]602.193535571886[/C][/ROW]
[ROW][C]151[/C][C]666.59229342041[/C][C]636.628829419511[/C][C]696.555757421308[/C][/ROW]
[ROW][C]152[/C][C]657.913718340461[/C][C]627.182084719986[/C][C]688.645351960936[/C][/ROW]
[ROW][C]153[/C][C]550.308766448997[/C][C]521.639795163257[/C][C]578.977737734737[/C][/ROW]
[ROW][C]154[/C][C]492.985309235293[/C][C]465.015309913885[/C][C]520.955308556702[/C][/ROW]
[ROW][C]155[/C][C]420.207279555455[/C][C]393.468778537186[/C][C]446.945780573724[/C][/ROW]
[ROW][C]156[/C][C]465.6345009368[/C][C]443.300414442841[/C][C]487.96858743076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210999&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210999&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
145447.055931344911427.306133026705466.805729663116
146419.712279855693399.13258524496440.291974466426
147464.867131095755442.963034360712486.771227830798
148496.083937621018472.832900505225519.334974736812
149507.532637500565483.137513327865531.927761673266
150575.450895961042548.708256350197602.193535571886
151666.59229342041636.628829419511696.555757421308
152657.913718340461627.182084719986688.645351960936
153550.308766448997521.639795163257578.977737734737
154492.985309235293465.015309913885520.955308556702
155420.207279555455393.468778537186446.945780573724
156465.6345009368443.300414442841487.96858743076



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