Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 22 Nov 2013 05:44:28 -0500
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/Nov/22/t13851171325lremfkhntmafbt.htm/, Retrieved Mon, 29 Apr 2024 17:14:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=227472, Retrieved Mon, 29 Apr 2024 17:14:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2013-11-22 10:44:28] [02b53344bfc7e15f5310bf5039e578c4] [Current]
Feedback Forum

Post a new message
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 time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227472&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227472&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227472&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.247959489735643
beta0.0345337296488601
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.247959489735643 \tabularnewline
beta & 0.0345337296488601 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227472&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]0.247959489735643[/C][/ROW]
[ROW][C]beta[/C][C]0.0345337296488601[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227472&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227472&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
alpha0.247959489735643
beta0.0345337296488601
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115110.6431623931624.35683760683759
14126122.0731433875873.92685661241256
15141137.4301320536293.56986794637135
16135132.0625039833172.93749601668338
17125123.063226970461.93677302953969
18149147.4990623845791.50093761542058
19170160.1313474162149.86865258378597
20170163.5063250513586.49367494864174
21158153.8500500719094.14994992809113
22133138.731495445679-5.73149544567931
23114123.321997399523-9.3219973995227
24140135.6090430410434.39095695895716
25145136.8604638401158.13953615988541
26150149.1778641595620.822135840437994
27178163.74277873872614.2572212612745
28163160.887368307282.11263169271959
29172151.2616671194820.7383328805197
30178180.523451938489-2.52345193848936
31199198.9079414187770.0920585812226307
32199197.6941126433431.30588735665677
33184185.317990243195-1.31799024319454
34162161.6946288593080.305371140691875
35146145.4157878514160.584212148584044
36166170.890657487436-4.89065748743621
37171172.999007307478-1.99900730747771
38180177.5519720772152.4480279227848
39193202.890186966572-9.89018696657183
40181184.973617184964-3.97361718496438
41183187.853581322794-4.8535813227941
42218193.06418760533624.9358123946638
43230220.2479488461149.75205115388604
44242222.44849022136719.5515097786325
45209212.885752351814-3.88575235181364
46191190.0870074036020.912992596398141
47172174.414218571941-2.41421857194126
48194195.248286577793-1.24828657779278
49196200.685635881058-4.68563588105789
50196208.144971709427-12.144971709427
51236220.68911254080915.3108874591913
52235213.7899205208921.2100794791104
53229222.787331740536.21266825947021
54243253.774189579803-10.774189579803
55264261.008168974432.99183102556958
56272269.1678075187862.83219248121361
57237237.956186784541-0.956186784540876
58211219.640392882199-8.64039288219948
59180199.162435425533-19.1624354255333
60201216.642919355327-15.6429193553267
61204215.725163322483-11.7251633224825
62188215.568185948207-27.5681859482072
63235244.542771479217-9.54277147921678
64227235.311347905091-8.31134790509122
65234224.8512269469899.14877305301096
66264242.95770303988621.0422969601136
67302267.8723192988734.1276807011301
68293283.3377797468779.66222025312345
69259250.7346469911798.26535300882082
70229228.7694833009110.230516699089094
71203202.4970072961710.502992703828539
72229227.5877912857491.41220871425136
73242234.0786217080027.92137829199777
74233227.2801229710185.71987702898187
75267278.751213081094-11.7512130810936
76269270.56592663095-1.56592663094966
77270275.634536741209-5.63453674120859
78315299.61859526655515.3814047334446
79364333.52063681328730.4793631867132
80347330.20156310420716.7984368957929
81312298.897647562413.1023524376004
82274272.7109857773551.28901422264494
83237247.536595543642-10.5365955436417
84278271.109952789846.89004721015959
85284284.437307658674-0.437307658673831
86277274.4220833394962.57791666050406
87317312.4597305930064.54026940699367
88313316.597926811577-3.59792681157694
89318318.709630586872-0.709630586872379
90374360.36858449974813.6314155002521
91413405.8248697102667.17513028973366
92405386.87301988306218.1269801169384
93355353.5646406373541.43535936264601
94306315.946740877588-9.94674087758841
95271279.342602124886-8.34260212488573
96306316.833910444741-10.8339104447409
97315320.372592752746-5.37259275274607
98301311.475546446947-10.4755464469467
99356347.7148140007468.28518599925377
100348346.6559937740841.34400622591573
101355352.2021792990662.79782070093364
102422405.58288763546816.4171123645322
103465446.9653795972118.0346204027899
104467439.12632237637127.8736776236287
105404395.9492591677778.0507408322228
106347351.735857721497-4.73585772149727
107305317.998757011001-12.9987570110009
108336352.790665052809-16.7906650528091
109340359.23714047618-19.2371404761804
110318343.223593245563-25.2235932455632
111362389.947459573453-27.9474595734532
112348374.40678987984-26.4067898798402
113363373.650027638873-10.6500276388729
114435433.3081180437251.69188195627532
115491471.49933393927419.5006660607257
116505470.67927294531434.3207270546858
117404413.504477870091-9.50447787009142
118359354.4830410564344.51695894356567
119310316.066448406359-6.06644840635892
120337349.025200176064-12.025200176064
121360354.1538562087515.84614379124855
122342339.4130666563952.58693334360453
123406390.77767404240815.2223259575921
124396387.2629846674858.73701533251534
125420407.5340974625612.4659025374404
126472482.867470544424-10.8674705444245
127548531.89171001552216.1082899844776
128559541.90102173974417.0989782602559
129463447.87539022493815.1246097750616
130407406.0943450300020.905654969998182
131362359.3809078701022.61909212989843
132405390.64423675049214.3557632495076
133417416.6123145742680.387685425732286
134391398.878286514511-7.87828651451053
135419457.871953443464-38.8719534434644
136461436.32533337469624.6746666253042
137472463.7475613898488.25243861015156
138535520.84739366095514.1526063390454
139622596.93557876272525.0644212372754
140606610.560492406652-4.5604924066522
141508510.14372167159-2.1437216715903
142461453.704068818097.29593118191036
143390410.234924183382-20.2349241833824
144432444.833325554046-12.8333255540462

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 110.643162393162 & 4.35683760683759 \tabularnewline
14 & 126 & 122.073143387587 & 3.92685661241256 \tabularnewline
15 & 141 & 137.430132053629 & 3.56986794637135 \tabularnewline
16 & 135 & 132.062503983317 & 2.93749601668338 \tabularnewline
17 & 125 & 123.06322697046 & 1.93677302953969 \tabularnewline
18 & 149 & 147.499062384579 & 1.50093761542058 \tabularnewline
19 & 170 & 160.131347416214 & 9.86865258378597 \tabularnewline
20 & 170 & 163.506325051358 & 6.49367494864174 \tabularnewline
21 & 158 & 153.850050071909 & 4.14994992809113 \tabularnewline
22 & 133 & 138.731495445679 & -5.73149544567931 \tabularnewline
23 & 114 & 123.321997399523 & -9.3219973995227 \tabularnewline
24 & 140 & 135.609043041043 & 4.39095695895716 \tabularnewline
25 & 145 & 136.860463840115 & 8.13953615988541 \tabularnewline
26 & 150 & 149.177864159562 & 0.822135840437994 \tabularnewline
27 & 178 & 163.742778738726 & 14.2572212612745 \tabularnewline
28 & 163 & 160.88736830728 & 2.11263169271959 \tabularnewline
29 & 172 & 151.26166711948 & 20.7383328805197 \tabularnewline
30 & 178 & 180.523451938489 & -2.52345193848936 \tabularnewline
31 & 199 & 198.907941418777 & 0.0920585812226307 \tabularnewline
32 & 199 & 197.694112643343 & 1.30588735665677 \tabularnewline
33 & 184 & 185.317990243195 & -1.31799024319454 \tabularnewline
34 & 162 & 161.694628859308 & 0.305371140691875 \tabularnewline
35 & 146 & 145.415787851416 & 0.584212148584044 \tabularnewline
36 & 166 & 170.890657487436 & -4.89065748743621 \tabularnewline
37 & 171 & 172.999007307478 & -1.99900730747771 \tabularnewline
38 & 180 & 177.551972077215 & 2.4480279227848 \tabularnewline
39 & 193 & 202.890186966572 & -9.89018696657183 \tabularnewline
40 & 181 & 184.973617184964 & -3.97361718496438 \tabularnewline
41 & 183 & 187.853581322794 & -4.8535813227941 \tabularnewline
42 & 218 & 193.064187605336 & 24.9358123946638 \tabularnewline
43 & 230 & 220.247948846114 & 9.75205115388604 \tabularnewline
44 & 242 & 222.448490221367 & 19.5515097786325 \tabularnewline
45 & 209 & 212.885752351814 & -3.88575235181364 \tabularnewline
46 & 191 & 190.087007403602 & 0.912992596398141 \tabularnewline
47 & 172 & 174.414218571941 & -2.41421857194126 \tabularnewline
48 & 194 & 195.248286577793 & -1.24828657779278 \tabularnewline
49 & 196 & 200.685635881058 & -4.68563588105789 \tabularnewline
50 & 196 & 208.144971709427 & -12.144971709427 \tabularnewline
51 & 236 & 220.689112540809 & 15.3108874591913 \tabularnewline
52 & 235 & 213.78992052089 & 21.2100794791104 \tabularnewline
53 & 229 & 222.78733174053 & 6.21266825947021 \tabularnewline
54 & 243 & 253.774189579803 & -10.774189579803 \tabularnewline
55 & 264 & 261.00816897443 & 2.99183102556958 \tabularnewline
56 & 272 & 269.167807518786 & 2.83219248121361 \tabularnewline
57 & 237 & 237.956186784541 & -0.956186784540876 \tabularnewline
58 & 211 & 219.640392882199 & -8.64039288219948 \tabularnewline
59 & 180 & 199.162435425533 & -19.1624354255333 \tabularnewline
60 & 201 & 216.642919355327 & -15.6429193553267 \tabularnewline
61 & 204 & 215.725163322483 & -11.7251633224825 \tabularnewline
62 & 188 & 215.568185948207 & -27.5681859482072 \tabularnewline
63 & 235 & 244.542771479217 & -9.54277147921678 \tabularnewline
64 & 227 & 235.311347905091 & -8.31134790509122 \tabularnewline
65 & 234 & 224.851226946989 & 9.14877305301096 \tabularnewline
66 & 264 & 242.957703039886 & 21.0422969601136 \tabularnewline
67 & 302 & 267.87231929887 & 34.1276807011301 \tabularnewline
68 & 293 & 283.337779746877 & 9.66222025312345 \tabularnewline
69 & 259 & 250.734646991179 & 8.26535300882082 \tabularnewline
70 & 229 & 228.769483300911 & 0.230516699089094 \tabularnewline
71 & 203 & 202.497007296171 & 0.502992703828539 \tabularnewline
72 & 229 & 227.587791285749 & 1.41220871425136 \tabularnewline
73 & 242 & 234.078621708002 & 7.92137829199777 \tabularnewline
74 & 233 & 227.280122971018 & 5.71987702898187 \tabularnewline
75 & 267 & 278.751213081094 & -11.7512130810936 \tabularnewline
76 & 269 & 270.56592663095 & -1.56592663094966 \tabularnewline
77 & 270 & 275.634536741209 & -5.63453674120859 \tabularnewline
78 & 315 & 299.618595266555 & 15.3814047334446 \tabularnewline
79 & 364 & 333.520636813287 & 30.4793631867132 \tabularnewline
80 & 347 & 330.201563104207 & 16.7984368957929 \tabularnewline
81 & 312 & 298.8976475624 & 13.1023524376004 \tabularnewline
82 & 274 & 272.710985777355 & 1.28901422264494 \tabularnewline
83 & 237 & 247.536595543642 & -10.5365955436417 \tabularnewline
84 & 278 & 271.10995278984 & 6.89004721015959 \tabularnewline
85 & 284 & 284.437307658674 & -0.437307658673831 \tabularnewline
86 & 277 & 274.422083339496 & 2.57791666050406 \tabularnewline
87 & 317 & 312.459730593006 & 4.54026940699367 \tabularnewline
88 & 313 & 316.597926811577 & -3.59792681157694 \tabularnewline
89 & 318 & 318.709630586872 & -0.709630586872379 \tabularnewline
90 & 374 & 360.368584499748 & 13.6314155002521 \tabularnewline
91 & 413 & 405.824869710266 & 7.17513028973366 \tabularnewline
92 & 405 & 386.873019883062 & 18.1269801169384 \tabularnewline
93 & 355 & 353.564640637354 & 1.43535936264601 \tabularnewline
94 & 306 & 315.946740877588 & -9.94674087758841 \tabularnewline
95 & 271 & 279.342602124886 & -8.34260212488573 \tabularnewline
96 & 306 & 316.833910444741 & -10.8339104447409 \tabularnewline
97 & 315 & 320.372592752746 & -5.37259275274607 \tabularnewline
98 & 301 & 311.475546446947 & -10.4755464469467 \tabularnewline
99 & 356 & 347.714814000746 & 8.28518599925377 \tabularnewline
100 & 348 & 346.655993774084 & 1.34400622591573 \tabularnewline
101 & 355 & 352.202179299066 & 2.79782070093364 \tabularnewline
102 & 422 & 405.582887635468 & 16.4171123645322 \tabularnewline
103 & 465 & 446.96537959721 & 18.0346204027899 \tabularnewline
104 & 467 & 439.126322376371 & 27.8736776236287 \tabularnewline
105 & 404 & 395.949259167777 & 8.0507408322228 \tabularnewline
106 & 347 & 351.735857721497 & -4.73585772149727 \tabularnewline
107 & 305 & 317.998757011001 & -12.9987570110009 \tabularnewline
108 & 336 & 352.790665052809 & -16.7906650528091 \tabularnewline
109 & 340 & 359.23714047618 & -19.2371404761804 \tabularnewline
110 & 318 & 343.223593245563 & -25.2235932455632 \tabularnewline
111 & 362 & 389.947459573453 & -27.9474595734532 \tabularnewline
112 & 348 & 374.40678987984 & -26.4067898798402 \tabularnewline
113 & 363 & 373.650027638873 & -10.6500276388729 \tabularnewline
114 & 435 & 433.308118043725 & 1.69188195627532 \tabularnewline
115 & 491 & 471.499333939274 & 19.5006660607257 \tabularnewline
116 & 505 & 470.679272945314 & 34.3207270546858 \tabularnewline
117 & 404 & 413.504477870091 & -9.50447787009142 \tabularnewline
118 & 359 & 354.483041056434 & 4.51695894356567 \tabularnewline
119 & 310 & 316.066448406359 & -6.06644840635892 \tabularnewline
120 & 337 & 349.025200176064 & -12.025200176064 \tabularnewline
121 & 360 & 354.153856208751 & 5.84614379124855 \tabularnewline
122 & 342 & 339.413066656395 & 2.58693334360453 \tabularnewline
123 & 406 & 390.777674042408 & 15.2223259575921 \tabularnewline
124 & 396 & 387.262984667485 & 8.73701533251534 \tabularnewline
125 & 420 & 407.53409746256 & 12.4659025374404 \tabularnewline
126 & 472 & 482.867470544424 & -10.8674705444245 \tabularnewline
127 & 548 & 531.891710015522 & 16.1082899844776 \tabularnewline
128 & 559 & 541.901021739744 & 17.0989782602559 \tabularnewline
129 & 463 & 447.875390224938 & 15.1246097750616 \tabularnewline
130 & 407 & 406.094345030002 & 0.905654969998182 \tabularnewline
131 & 362 & 359.380907870102 & 2.61909212989843 \tabularnewline
132 & 405 & 390.644236750492 & 14.3557632495076 \tabularnewline
133 & 417 & 416.612314574268 & 0.387685425732286 \tabularnewline
134 & 391 & 398.878286514511 & -7.87828651451053 \tabularnewline
135 & 419 & 457.871953443464 & -38.8719534434644 \tabularnewline
136 & 461 & 436.325333374696 & 24.6746666253042 \tabularnewline
137 & 472 & 463.747561389848 & 8.25243861015156 \tabularnewline
138 & 535 & 520.847393660955 & 14.1526063390454 \tabularnewline
139 & 622 & 596.935578762725 & 25.0644212372754 \tabularnewline
140 & 606 & 610.560492406652 & -4.5604924066522 \tabularnewline
141 & 508 & 510.14372167159 & -2.1437216715903 \tabularnewline
142 & 461 & 453.70406881809 & 7.29593118191036 \tabularnewline
143 & 390 & 410.234924183382 & -20.2349241833824 \tabularnewline
144 & 432 & 444.833325554046 & -12.8333255540462 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227472&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]110.643162393162[/C][C]4.35683760683759[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.073143387587[/C][C]3.92685661241256[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.430132053629[/C][C]3.56986794637135[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.062503983317[/C][C]2.93749601668338[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.06322697046[/C][C]1.93677302953969[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.499062384579[/C][C]1.50093761542058[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]160.131347416214[/C][C]9.86865258378597[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]163.506325051358[/C][C]6.49367494864174[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.850050071909[/C][C]4.14994992809113[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]138.731495445679[/C][C]-5.73149544567931[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]123.321997399523[/C][C]-9.3219973995227[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]135.609043041043[/C][C]4.39095695895716[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]136.860463840115[/C][C]8.13953615988541[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.177864159562[/C][C]0.822135840437994[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]163.742778738726[/C][C]14.2572212612745[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]160.88736830728[/C][C]2.11263169271959[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]151.26166711948[/C][C]20.7383328805197[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]180.523451938489[/C][C]-2.52345193848936[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]198.907941418777[/C][C]0.0920585812226307[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]197.694112643343[/C][C]1.30588735665677[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]185.317990243195[/C][C]-1.31799024319454[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]161.694628859308[/C][C]0.305371140691875[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]145.415787851416[/C][C]0.584212148584044[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]170.890657487436[/C][C]-4.89065748743621[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.999007307478[/C][C]-1.99900730747771[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.551972077215[/C][C]2.4480279227848[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]202.890186966572[/C][C]-9.89018696657183[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]184.973617184964[/C][C]-3.97361718496438[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]187.853581322794[/C][C]-4.8535813227941[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]193.064187605336[/C][C]24.9358123946638[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]220.247948846114[/C][C]9.75205115388604[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]222.448490221367[/C][C]19.5515097786325[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]212.885752351814[/C][C]-3.88575235181364[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]190.087007403602[/C][C]0.912992596398141[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]174.414218571941[/C][C]-2.41421857194126[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]195.248286577793[/C][C]-1.24828657779278[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]200.685635881058[/C][C]-4.68563588105789[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]208.144971709427[/C][C]-12.144971709427[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]220.689112540809[/C][C]15.3108874591913[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]213.78992052089[/C][C]21.2100794791104[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.78733174053[/C][C]6.21266825947021[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]253.774189579803[/C][C]-10.774189579803[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.00816897443[/C][C]2.99183102556958[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]269.167807518786[/C][C]2.83219248121361[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]237.956186784541[/C][C]-0.956186784540876[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.640392882199[/C][C]-8.64039288219948[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]199.162435425533[/C][C]-19.1624354255333[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]216.642919355327[/C][C]-15.6429193553267[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]215.725163322483[/C][C]-11.7251633224825[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]215.568185948207[/C][C]-27.5681859482072[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]244.542771479217[/C][C]-9.54277147921678[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]235.311347905091[/C][C]-8.31134790509122[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.851226946989[/C][C]9.14877305301096[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]242.957703039886[/C][C]21.0422969601136[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]267.87231929887[/C][C]34.1276807011301[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]283.337779746877[/C][C]9.66222025312345[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]250.734646991179[/C][C]8.26535300882082[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.769483300911[/C][C]0.230516699089094[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]202.497007296171[/C][C]0.502992703828539[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]227.587791285749[/C][C]1.41220871425136[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]234.078621708002[/C][C]7.92137829199777[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]227.280122971018[/C][C]5.71987702898187[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]278.751213081094[/C][C]-11.7512130810936[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]270.56592663095[/C][C]-1.56592663094966[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]275.634536741209[/C][C]-5.63453674120859[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]299.618595266555[/C][C]15.3814047334446[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]333.520636813287[/C][C]30.4793631867132[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]330.201563104207[/C][C]16.7984368957929[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.8976475624[/C][C]13.1023524376004[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]272.710985777355[/C][C]1.28901422264494[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]247.536595543642[/C][C]-10.5365955436417[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]271.10995278984[/C][C]6.89004721015959[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]284.437307658674[/C][C]-0.437307658673831[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]274.422083339496[/C][C]2.57791666050406[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]312.459730593006[/C][C]4.54026940699367[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.597926811577[/C][C]-3.59792681157694[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.709630586872[/C][C]-0.709630586872379[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]360.368584499748[/C][C]13.6314155002521[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]405.824869710266[/C][C]7.17513028973366[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]386.873019883062[/C][C]18.1269801169384[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]353.564640637354[/C][C]1.43535936264601[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]315.946740877588[/C][C]-9.94674087758841[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]279.342602124886[/C][C]-8.34260212488573[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]316.833910444741[/C][C]-10.8339104447409[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]320.372592752746[/C][C]-5.37259275274607[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]311.475546446947[/C][C]-10.4755464469467[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]347.714814000746[/C][C]8.28518599925377[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]346.655993774084[/C][C]1.34400622591573[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]352.202179299066[/C][C]2.79782070093364[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]405.582887635468[/C][C]16.4171123645322[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]446.96537959721[/C][C]18.0346204027899[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]439.126322376371[/C][C]27.8736776236287[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]395.949259167777[/C][C]8.0507408322228[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]351.735857721497[/C][C]-4.73585772149727[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]317.998757011001[/C][C]-12.9987570110009[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]352.790665052809[/C][C]-16.7906650528091[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]359.23714047618[/C][C]-19.2371404761804[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]343.223593245563[/C][C]-25.2235932455632[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]389.947459573453[/C][C]-27.9474595734532[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]374.40678987984[/C][C]-26.4067898798402[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]373.650027638873[/C][C]-10.6500276388729[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]433.308118043725[/C][C]1.69188195627532[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]471.499333939274[/C][C]19.5006660607257[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]470.679272945314[/C][C]34.3207270546858[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]413.504477870091[/C][C]-9.50447787009142[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.483041056434[/C][C]4.51695894356567[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]316.066448406359[/C][C]-6.06644840635892[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]349.025200176064[/C][C]-12.025200176064[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]354.153856208751[/C][C]5.84614379124855[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]339.413066656395[/C][C]2.58693334360453[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.777674042408[/C][C]15.2223259575921[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]387.262984667485[/C][C]8.73701533251534[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.53409746256[/C][C]12.4659025374404[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]482.867470544424[/C][C]-10.8674705444245[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]531.891710015522[/C][C]16.1082899844776[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]541.901021739744[/C][C]17.0989782602559[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]447.875390224938[/C][C]15.1246097750616[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]406.094345030002[/C][C]0.905654969998182[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]359.380907870102[/C][C]2.61909212989843[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]390.644236750492[/C][C]14.3557632495076[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]416.612314574268[/C][C]0.387685425732286[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]398.878286514511[/C][C]-7.87828651451053[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]457.871953443464[/C][C]-38.8719534434644[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]436.325333374696[/C][C]24.6746666253042[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]463.747561389848[/C][C]8.25243861015156[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]520.847393660955[/C][C]14.1526063390454[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]596.935578762725[/C][C]25.0644212372754[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]610.560492406652[/C][C]-4.5604924066522[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.14372167159[/C][C]-2.1437216715903[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]453.70406881809[/C][C]7.29593118191036[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]410.234924183382[/C][C]-20.2349241833824[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]444.833325554046[/C][C]-12.8333255540462[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227472&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227472&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
13115110.6431623931624.35683760683759
14126122.0731433875873.92685661241256
15141137.4301320536293.56986794637135
16135132.0625039833172.93749601668338
17125123.063226970461.93677302953969
18149147.4990623845791.50093761542058
19170160.1313474162149.86865258378597
20170163.5063250513586.49367494864174
21158153.8500500719094.14994992809113
22133138.731495445679-5.73149544567931
23114123.321997399523-9.3219973995227
24140135.6090430410434.39095695895716
25145136.8604638401158.13953615988541
26150149.1778641595620.822135840437994
27178163.74277873872614.2572212612745
28163160.887368307282.11263169271959
29172151.2616671194820.7383328805197
30178180.523451938489-2.52345193848936
31199198.9079414187770.0920585812226307
32199197.6941126433431.30588735665677
33184185.317990243195-1.31799024319454
34162161.6946288593080.305371140691875
35146145.4157878514160.584212148584044
36166170.890657487436-4.89065748743621
37171172.999007307478-1.99900730747771
38180177.5519720772152.4480279227848
39193202.890186966572-9.89018696657183
40181184.973617184964-3.97361718496438
41183187.853581322794-4.8535813227941
42218193.06418760533624.9358123946638
43230220.2479488461149.75205115388604
44242222.44849022136719.5515097786325
45209212.885752351814-3.88575235181364
46191190.0870074036020.912992596398141
47172174.414218571941-2.41421857194126
48194195.248286577793-1.24828657779278
49196200.685635881058-4.68563588105789
50196208.144971709427-12.144971709427
51236220.68911254080915.3108874591913
52235213.7899205208921.2100794791104
53229222.787331740536.21266825947021
54243253.774189579803-10.774189579803
55264261.008168974432.99183102556958
56272269.1678075187862.83219248121361
57237237.956186784541-0.956186784540876
58211219.640392882199-8.64039288219948
59180199.162435425533-19.1624354255333
60201216.642919355327-15.6429193553267
61204215.725163322483-11.7251633224825
62188215.568185948207-27.5681859482072
63235244.542771479217-9.54277147921678
64227235.311347905091-8.31134790509122
65234224.8512269469899.14877305301096
66264242.95770303988621.0422969601136
67302267.8723192988734.1276807011301
68293283.3377797468779.66222025312345
69259250.7346469911798.26535300882082
70229228.7694833009110.230516699089094
71203202.4970072961710.502992703828539
72229227.5877912857491.41220871425136
73242234.0786217080027.92137829199777
74233227.2801229710185.71987702898187
75267278.751213081094-11.7512130810936
76269270.56592663095-1.56592663094966
77270275.634536741209-5.63453674120859
78315299.61859526655515.3814047334446
79364333.52063681328730.4793631867132
80347330.20156310420716.7984368957929
81312298.897647562413.1023524376004
82274272.7109857773551.28901422264494
83237247.536595543642-10.5365955436417
84278271.109952789846.89004721015959
85284284.437307658674-0.437307658673831
86277274.4220833394962.57791666050406
87317312.4597305930064.54026940699367
88313316.597926811577-3.59792681157694
89318318.709630586872-0.709630586872379
90374360.36858449974813.6314155002521
91413405.8248697102667.17513028973366
92405386.87301988306218.1269801169384
93355353.5646406373541.43535936264601
94306315.946740877588-9.94674087758841
95271279.342602124886-8.34260212488573
96306316.833910444741-10.8339104447409
97315320.372592752746-5.37259275274607
98301311.475546446947-10.4755464469467
99356347.7148140007468.28518599925377
100348346.6559937740841.34400622591573
101355352.2021792990662.79782070093364
102422405.58288763546816.4171123645322
103465446.9653795972118.0346204027899
104467439.12632237637127.8736776236287
105404395.9492591677778.0507408322228
106347351.735857721497-4.73585772149727
107305317.998757011001-12.9987570110009
108336352.790665052809-16.7906650528091
109340359.23714047618-19.2371404761804
110318343.223593245563-25.2235932455632
111362389.947459573453-27.9474595734532
112348374.40678987984-26.4067898798402
113363373.650027638873-10.6500276388729
114435433.3081180437251.69188195627532
115491471.49933393927419.5006660607257
116505470.67927294531434.3207270546858
117404413.504477870091-9.50447787009142
118359354.4830410564344.51695894356567
119310316.066448406359-6.06644840635892
120337349.025200176064-12.025200176064
121360354.1538562087515.84614379124855
122342339.4130666563952.58693334360453
123406390.77767404240815.2223259575921
124396387.2629846674858.73701533251534
125420407.5340974625612.4659025374404
126472482.867470544424-10.8674705444245
127548531.89171001552216.1082899844776
128559541.90102173974417.0989782602559
129463447.87539022493815.1246097750616
130407406.0943450300020.905654969998182
131362359.3809078701022.61909212989843
132405390.64423675049214.3557632495076
133417416.6123145742680.387685425732286
134391398.878286514511-7.87828651451053
135419457.871953443464-38.8719534434644
136461436.32533337469624.6746666253042
137472463.7475613898488.25243861015156
138535520.84739366095514.1526063390454
139622596.93557876272525.0644212372754
140606610.560492406652-4.5604924066522
141508510.14372167159-2.1437216715903
142461453.704068818097.29593118191036
143390410.234924183382-20.2349241833824
144432444.833325554046-12.8333255540462







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145453.497721751322428.41526696502478.580176537624
146429.39056925195403.49600160324455.28513690066
147467.036052088741440.301472551842493.770631625639
148503.257406653861475.655792079981530.859021227741
149512.339520167002483.844695250902540.834345083101
150571.88796574964542.474571456703601.301360042578
151652.60953499138622.252994696779682.966075285982
152637.462256917308606.138741269289668.785772565327
153539.754768946303507.441160256025572.06837763658
154490.724986086211457.398842867374524.051129305048
155424.459265263963390.098787394926458.819743133001
156469.531518789795434.115513646617504.947523932974

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 453.497721751322 & 428.41526696502 & 478.580176537624 \tabularnewline
146 & 429.39056925195 & 403.49600160324 & 455.28513690066 \tabularnewline
147 & 467.036052088741 & 440.301472551842 & 493.770631625639 \tabularnewline
148 & 503.257406653861 & 475.655792079981 & 530.859021227741 \tabularnewline
149 & 512.339520167002 & 483.844695250902 & 540.834345083101 \tabularnewline
150 & 571.88796574964 & 542.474571456703 & 601.301360042578 \tabularnewline
151 & 652.60953499138 & 622.252994696779 & 682.966075285982 \tabularnewline
152 & 637.462256917308 & 606.138741269289 & 668.785772565327 \tabularnewline
153 & 539.754768946303 & 507.441160256025 & 572.06837763658 \tabularnewline
154 & 490.724986086211 & 457.398842867374 & 524.051129305048 \tabularnewline
155 & 424.459265263963 & 390.098787394926 & 458.819743133001 \tabularnewline
156 & 469.531518789795 & 434.115513646617 & 504.947523932974 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=227472&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]453.497721751322[/C][C]428.41526696502[/C][C]478.580176537624[/C][/ROW]
[ROW][C]146[/C][C]429.39056925195[/C][C]403.49600160324[/C][C]455.28513690066[/C][/ROW]
[ROW][C]147[/C][C]467.036052088741[/C][C]440.301472551842[/C][C]493.770631625639[/C][/ROW]
[ROW][C]148[/C][C]503.257406653861[/C][C]475.655792079981[/C][C]530.859021227741[/C][/ROW]
[ROW][C]149[/C][C]512.339520167002[/C][C]483.844695250902[/C][C]540.834345083101[/C][/ROW]
[ROW][C]150[/C][C]571.88796574964[/C][C]542.474571456703[/C][C]601.301360042578[/C][/ROW]
[ROW][C]151[/C][C]652.60953499138[/C][C]622.252994696779[/C][C]682.966075285982[/C][/ROW]
[ROW][C]152[/C][C]637.462256917308[/C][C]606.138741269289[/C][C]668.785772565327[/C][/ROW]
[ROW][C]153[/C][C]539.754768946303[/C][C]507.441160256025[/C][C]572.06837763658[/C][/ROW]
[ROW][C]154[/C][C]490.724986086211[/C][C]457.398842867374[/C][C]524.051129305048[/C][/ROW]
[ROW][C]155[/C][C]424.459265263963[/C][C]390.098787394926[/C][C]458.819743133001[/C][/ROW]
[ROW][C]156[/C][C]469.531518789795[/C][C]434.115513646617[/C][C]504.947523932974[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=227472&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=227472&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
145453.497721751322428.41526696502478.580176537624
146429.39056925195403.49600160324455.28513690066
147467.036052088741440.301472551842493.770631625639
148503.257406653861475.655792079981530.859021227741
149512.339520167002483.844695250902540.834345083101
150571.88796574964542.474571456703601.301360042578
151652.60953499138622.252994696779682.966075285982
152637.462256917308606.138741269289668.785772565327
153539.754768946303507.441160256025572.06837763658
154490.724986086211457.398842867374524.051129305048
155424.459265263963390.098787394926458.819743133001
156469.531518789795434.115513646617504.947523932974



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')