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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 computationThu, 01 Feb 2018 09:41:53 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Feb/01/t151747452426z8zeonbbjou5y.htm/, Retrieved Sun, 28 Apr 2024 22:17:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=313742, Retrieved Sun, 28 Apr 2024 22:17:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact53
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-02-01 08:41:53] [7cf2415a899268efc6470e899f2215a7] [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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313742&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=313742&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313742&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.247959489735621
beta0.0345337296488465
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.247959489735621 \tabularnewline
beta & 0.0345337296488465 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313742&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]0.247959489735621[/C][/ROW]
[ROW][C]beta[/C][C]0.0345337296488465[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313742&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313742&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
alpha0.247959489735621
beta0.0345337296488465
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115110.6431623931624.35683760683766
14126122.0731433875873.92685661241272
15141137.4301320536283.56986794637163
16135132.0625039833162.9374960166837
17125123.063226970461.93677302954006
18149147.4990623845791.50093761542098
19170160.1313474162149.86865258378634
20170163.5063250513586.49367494864239
21158153.8500500719084.14994992809187
22133138.731495445679-5.73149544567858
23114123.321997399522-9.32199739952222
24140135.6090430410434.39095695895742
25145136.8604638401148.13953615988564
26150149.1778641595620.822135840438364
27178163.74277873872514.2572212612748
28163160.887368307282.1126316927203
29172151.2616671194820.7383328805204
30178180.523451938488-2.52345193848808
31199198.9079414187760.0920585812235686
32199197.6941126433421.30588735665759
33184185.317990243194-1.31799024319366
34162161.6946288593070.305371140692898
35146145.4157878514150.584212148585237
36166170.890657487435-4.89065748743522
37171172.999007307477-1.99900730747714
38180177.5519720772152.44802792278534
39193202.890186966572-9.89018696657155
40181184.973617184964-3.9736171849643
41183187.853581322794-4.8535813227945
42218193.06418760533624.9358123946635
43230220.2479488461139.75205115388661
44242222.44849022136719.5515097786334
45209212.885752351812-3.88575235181227
46191190.0870074036010.912992596399391
47172174.41421857194-2.41421857193995
48194195.248286577791-1.24828657779145
49196200.685635881057-4.6856358810567
50196208.144971709426-12.1449717094261
51236220.68911254080815.310887459192
52235213.78992052088921.2100794791114
53229222.7873317405286.21266825947168
54243253.774189579802-10.7741895798022
55264261.008168974432.99183102556992
56272269.1678075187862.83219248121378
57237237.95618678454-0.956186784540307
58211219.640392882199-8.6403928821988
59180199.162435425533-19.1624354255327
60201216.642919355326-15.6429193553264
61204215.725163322482-11.7251633224824
62188215.568185948207-27.5681859482071
63235244.542771479218-9.54277147921769
64227235.311347905093-8.31134790509267
65234224.8512269469919.14877305300945
66264242.95770303988721.0422969601127
67302267.8723192988734.1276807011296
68293283.3377797468769.66222025312373
69259250.7346469911798.26535300882136
70229228.769483300910.230516699089975
71203202.497007296170.502992703829761
72229227.5877912857471.41220871425273
73242234.0786217080017.92137829199925
74233227.2801229710165.71987702898392
75267278.751213081092-11.7512130810916
76269270.565926630948-1.5659266309483
77270275.634536741208-5.63453674120785
78315299.61859526655515.3814047334445
79364333.52063681328730.4793631867127
80347330.20156310420716.7984368957933
81312298.89764756239913.1023524376011
82274272.7109857773541.28901422264624
83237247.53659554364-10.5365955436402
84278271.1099527898396.89004721016096
85284284.437307658672-0.437307658672239
86277274.4220833394942.57791666050576
87317312.4597305930044.54026940699589
88313316.597926811575-3.59792681157455
89318318.70963058687-0.709630586870162
90374360.36858449974613.6314155002536
91413405.8248697102657.17513028973451
92405386.87301988306118.126980116939
93355353.5646406373531.43535936264681
94306315.946740877587-9.94674087758744
95271279.342602124885-8.34260212488471
96306316.83391044474-10.8339104447402
97315320.372592752746-5.3725927527455
98301311.475546446946-10.4755464469461
99356347.7148140007468.28518599925422
100348346.6559937740831.3440062259167
101355352.2021792990652.79782070093495
102422405.58288763546716.4171123645332
103465446.96537959720918.034620402791
104467439.1263223763727.8736776236296
105404395.9492591677768.05074083222434
106347351.735857721495-4.73585772149539
107305317.998757010999-12.9987570109991
108336352.790665052808-16.7906650528075
109340359.237140476179-19.2371404761793
110318343.223593245563-25.2235932455625
111362389.947459573453-27.9474595734534
112348374.406789879841-26.4067898798411
113363373.650027638874-10.6500276388742
114435433.3081180437261.69188195627368
115491471.49933393927619.5006660607241
116505470.67927294531634.3207270546843
117404413.504477870092-9.50447787009193
118359354.4830410564354.51695894356527
119310316.066448406359-6.06644840635863
120337349.025200176063-12.0252001760634
121360354.1538562087515.84614379124918
122342339.4130666563942.58693334360578
123406390.77767404240615.2223259575936
124396387.2629846674838.73701533251727
125420407.53409746255812.4659025374422
126472482.867470544423-10.867470544423
127548531.89171001552216.1082899844778
128559541.90102173974517.0989782602554
129463447.87539022493815.1246097750618
130407406.0943450300010.905654969998693
131362359.3809078701012.61909212989923
132405390.64423675049114.3557632495089
133417416.6123145742660.387685425733935
134391398.878286514509-7.87828651450872
135419457.871953443463-38.8719534434628
136461436.32533337469524.6746666253047
137472463.7475613898478.25243861015269
138535520.84739366095314.1526063390472
139622596.93557876272325.0644212372767
140606610.560492406651-4.56049240665084
141508510.14372167159-2.14372167158962
142461453.7040688180897.29593118191099
143390410.234924183382-20.2349241833816
144432444.833325554046-12.833325554046

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 110.643162393162 & 4.35683760683766 \tabularnewline
14 & 126 & 122.073143387587 & 3.92685661241272 \tabularnewline
15 & 141 & 137.430132053628 & 3.56986794637163 \tabularnewline
16 & 135 & 132.062503983316 & 2.9374960166837 \tabularnewline
17 & 125 & 123.06322697046 & 1.93677302954006 \tabularnewline
18 & 149 & 147.499062384579 & 1.50093761542098 \tabularnewline
19 & 170 & 160.131347416214 & 9.86865258378634 \tabularnewline
20 & 170 & 163.506325051358 & 6.49367494864239 \tabularnewline
21 & 158 & 153.850050071908 & 4.14994992809187 \tabularnewline
22 & 133 & 138.731495445679 & -5.73149544567858 \tabularnewline
23 & 114 & 123.321997399522 & -9.32199739952222 \tabularnewline
24 & 140 & 135.609043041043 & 4.39095695895742 \tabularnewline
25 & 145 & 136.860463840114 & 8.13953615988564 \tabularnewline
26 & 150 & 149.177864159562 & 0.822135840438364 \tabularnewline
27 & 178 & 163.742778738725 & 14.2572212612748 \tabularnewline
28 & 163 & 160.88736830728 & 2.1126316927203 \tabularnewline
29 & 172 & 151.26166711948 & 20.7383328805204 \tabularnewline
30 & 178 & 180.523451938488 & -2.52345193848808 \tabularnewline
31 & 199 & 198.907941418776 & 0.0920585812235686 \tabularnewline
32 & 199 & 197.694112643342 & 1.30588735665759 \tabularnewline
33 & 184 & 185.317990243194 & -1.31799024319366 \tabularnewline
34 & 162 & 161.694628859307 & 0.305371140692898 \tabularnewline
35 & 146 & 145.415787851415 & 0.584212148585237 \tabularnewline
36 & 166 & 170.890657487435 & -4.89065748743522 \tabularnewline
37 & 171 & 172.999007307477 & -1.99900730747714 \tabularnewline
38 & 180 & 177.551972077215 & 2.44802792278534 \tabularnewline
39 & 193 & 202.890186966572 & -9.89018696657155 \tabularnewline
40 & 181 & 184.973617184964 & -3.9736171849643 \tabularnewline
41 & 183 & 187.853581322794 & -4.8535813227945 \tabularnewline
42 & 218 & 193.064187605336 & 24.9358123946635 \tabularnewline
43 & 230 & 220.247948846113 & 9.75205115388661 \tabularnewline
44 & 242 & 222.448490221367 & 19.5515097786334 \tabularnewline
45 & 209 & 212.885752351812 & -3.88575235181227 \tabularnewline
46 & 191 & 190.087007403601 & 0.912992596399391 \tabularnewline
47 & 172 & 174.41421857194 & -2.41421857193995 \tabularnewline
48 & 194 & 195.248286577791 & -1.24828657779145 \tabularnewline
49 & 196 & 200.685635881057 & -4.6856358810567 \tabularnewline
50 & 196 & 208.144971709426 & -12.1449717094261 \tabularnewline
51 & 236 & 220.689112540808 & 15.310887459192 \tabularnewline
52 & 235 & 213.789920520889 & 21.2100794791114 \tabularnewline
53 & 229 & 222.787331740528 & 6.21266825947168 \tabularnewline
54 & 243 & 253.774189579802 & -10.7741895798022 \tabularnewline
55 & 264 & 261.00816897443 & 2.99183102556992 \tabularnewline
56 & 272 & 269.167807518786 & 2.83219248121378 \tabularnewline
57 & 237 & 237.95618678454 & -0.956186784540307 \tabularnewline
58 & 211 & 219.640392882199 & -8.6403928821988 \tabularnewline
59 & 180 & 199.162435425533 & -19.1624354255327 \tabularnewline
60 & 201 & 216.642919355326 & -15.6429193553264 \tabularnewline
61 & 204 & 215.725163322482 & -11.7251633224824 \tabularnewline
62 & 188 & 215.568185948207 & -27.5681859482071 \tabularnewline
63 & 235 & 244.542771479218 & -9.54277147921769 \tabularnewline
64 & 227 & 235.311347905093 & -8.31134790509267 \tabularnewline
65 & 234 & 224.851226946991 & 9.14877305300945 \tabularnewline
66 & 264 & 242.957703039887 & 21.0422969601127 \tabularnewline
67 & 302 & 267.87231929887 & 34.1276807011296 \tabularnewline
68 & 293 & 283.337779746876 & 9.66222025312373 \tabularnewline
69 & 259 & 250.734646991179 & 8.26535300882136 \tabularnewline
70 & 229 & 228.76948330091 & 0.230516699089975 \tabularnewline
71 & 203 & 202.49700729617 & 0.502992703829761 \tabularnewline
72 & 229 & 227.587791285747 & 1.41220871425273 \tabularnewline
73 & 242 & 234.078621708001 & 7.92137829199925 \tabularnewline
74 & 233 & 227.280122971016 & 5.71987702898392 \tabularnewline
75 & 267 & 278.751213081092 & -11.7512130810916 \tabularnewline
76 & 269 & 270.565926630948 & -1.5659266309483 \tabularnewline
77 & 270 & 275.634536741208 & -5.63453674120785 \tabularnewline
78 & 315 & 299.618595266555 & 15.3814047334445 \tabularnewline
79 & 364 & 333.520636813287 & 30.4793631867127 \tabularnewline
80 & 347 & 330.201563104207 & 16.7984368957933 \tabularnewline
81 & 312 & 298.897647562399 & 13.1023524376011 \tabularnewline
82 & 274 & 272.710985777354 & 1.28901422264624 \tabularnewline
83 & 237 & 247.53659554364 & -10.5365955436402 \tabularnewline
84 & 278 & 271.109952789839 & 6.89004721016096 \tabularnewline
85 & 284 & 284.437307658672 & -0.437307658672239 \tabularnewline
86 & 277 & 274.422083339494 & 2.57791666050576 \tabularnewline
87 & 317 & 312.459730593004 & 4.54026940699589 \tabularnewline
88 & 313 & 316.597926811575 & -3.59792681157455 \tabularnewline
89 & 318 & 318.70963058687 & -0.709630586870162 \tabularnewline
90 & 374 & 360.368584499746 & 13.6314155002536 \tabularnewline
91 & 413 & 405.824869710265 & 7.17513028973451 \tabularnewline
92 & 405 & 386.873019883061 & 18.126980116939 \tabularnewline
93 & 355 & 353.564640637353 & 1.43535936264681 \tabularnewline
94 & 306 & 315.946740877587 & -9.94674087758744 \tabularnewline
95 & 271 & 279.342602124885 & -8.34260212488471 \tabularnewline
96 & 306 & 316.83391044474 & -10.8339104447402 \tabularnewline
97 & 315 & 320.372592752746 & -5.3725927527455 \tabularnewline
98 & 301 & 311.475546446946 & -10.4755464469461 \tabularnewline
99 & 356 & 347.714814000746 & 8.28518599925422 \tabularnewline
100 & 348 & 346.655993774083 & 1.3440062259167 \tabularnewline
101 & 355 & 352.202179299065 & 2.79782070093495 \tabularnewline
102 & 422 & 405.582887635467 & 16.4171123645332 \tabularnewline
103 & 465 & 446.965379597209 & 18.034620402791 \tabularnewline
104 & 467 & 439.12632237637 & 27.8736776236296 \tabularnewline
105 & 404 & 395.949259167776 & 8.05074083222434 \tabularnewline
106 & 347 & 351.735857721495 & -4.73585772149539 \tabularnewline
107 & 305 & 317.998757010999 & -12.9987570109991 \tabularnewline
108 & 336 & 352.790665052808 & -16.7906650528075 \tabularnewline
109 & 340 & 359.237140476179 & -19.2371404761793 \tabularnewline
110 & 318 & 343.223593245563 & -25.2235932455625 \tabularnewline
111 & 362 & 389.947459573453 & -27.9474595734534 \tabularnewline
112 & 348 & 374.406789879841 & -26.4067898798411 \tabularnewline
113 & 363 & 373.650027638874 & -10.6500276388742 \tabularnewline
114 & 435 & 433.308118043726 & 1.69188195627368 \tabularnewline
115 & 491 & 471.499333939276 & 19.5006660607241 \tabularnewline
116 & 505 & 470.679272945316 & 34.3207270546843 \tabularnewline
117 & 404 & 413.504477870092 & -9.50447787009193 \tabularnewline
118 & 359 & 354.483041056435 & 4.51695894356527 \tabularnewline
119 & 310 & 316.066448406359 & -6.06644840635863 \tabularnewline
120 & 337 & 349.025200176063 & -12.0252001760634 \tabularnewline
121 & 360 & 354.153856208751 & 5.84614379124918 \tabularnewline
122 & 342 & 339.413066656394 & 2.58693334360578 \tabularnewline
123 & 406 & 390.777674042406 & 15.2223259575936 \tabularnewline
124 & 396 & 387.262984667483 & 8.73701533251727 \tabularnewline
125 & 420 & 407.534097462558 & 12.4659025374422 \tabularnewline
126 & 472 & 482.867470544423 & -10.867470544423 \tabularnewline
127 & 548 & 531.891710015522 & 16.1082899844778 \tabularnewline
128 & 559 & 541.901021739745 & 17.0989782602554 \tabularnewline
129 & 463 & 447.875390224938 & 15.1246097750618 \tabularnewline
130 & 407 & 406.094345030001 & 0.905654969998693 \tabularnewline
131 & 362 & 359.380907870101 & 2.61909212989923 \tabularnewline
132 & 405 & 390.644236750491 & 14.3557632495089 \tabularnewline
133 & 417 & 416.612314574266 & 0.387685425733935 \tabularnewline
134 & 391 & 398.878286514509 & -7.87828651450872 \tabularnewline
135 & 419 & 457.871953443463 & -38.8719534434628 \tabularnewline
136 & 461 & 436.325333374695 & 24.6746666253047 \tabularnewline
137 & 472 & 463.747561389847 & 8.25243861015269 \tabularnewline
138 & 535 & 520.847393660953 & 14.1526063390472 \tabularnewline
139 & 622 & 596.935578762723 & 25.0644212372767 \tabularnewline
140 & 606 & 610.560492406651 & -4.56049240665084 \tabularnewline
141 & 508 & 510.14372167159 & -2.14372167158962 \tabularnewline
142 & 461 & 453.704068818089 & 7.29593118191099 \tabularnewline
143 & 390 & 410.234924183382 & -20.2349241833816 \tabularnewline
144 & 432 & 444.833325554046 & -12.833325554046 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313742&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]4.35683760683766[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.073143387587[/C][C]3.92685661241272[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.430132053628[/C][C]3.56986794637163[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.062503983316[/C][C]2.9374960166837[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.06322697046[/C][C]1.93677302954006[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.499062384579[/C][C]1.50093761542098[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]160.131347416214[/C][C]9.86865258378634[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]163.506325051358[/C][C]6.49367494864239[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.850050071908[/C][C]4.14994992809187[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]138.731495445679[/C][C]-5.73149544567858[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]123.321997399522[/C][C]-9.32199739952222[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]135.609043041043[/C][C]4.39095695895742[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]136.860463840114[/C][C]8.13953615988564[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.177864159562[/C][C]0.822135840438364[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]163.742778738725[/C][C]14.2572212612748[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]160.88736830728[/C][C]2.1126316927203[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]151.26166711948[/C][C]20.7383328805204[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]180.523451938488[/C][C]-2.52345193848808[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]198.907941418776[/C][C]0.0920585812235686[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]197.694112643342[/C][C]1.30588735665759[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]185.317990243194[/C][C]-1.31799024319366[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]161.694628859307[/C][C]0.305371140692898[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]145.415787851415[/C][C]0.584212148585237[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]170.890657487435[/C][C]-4.89065748743522[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.999007307477[/C][C]-1.99900730747714[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.551972077215[/C][C]2.44802792278534[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]202.890186966572[/C][C]-9.89018696657155[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]184.973617184964[/C][C]-3.9736171849643[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]187.853581322794[/C][C]-4.8535813227945[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]193.064187605336[/C][C]24.9358123946635[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]220.247948846113[/C][C]9.75205115388661[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]222.448490221367[/C][C]19.5515097786334[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]212.885752351812[/C][C]-3.88575235181227[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]190.087007403601[/C][C]0.912992596399391[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]174.41421857194[/C][C]-2.41421857193995[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]195.248286577791[/C][C]-1.24828657779145[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]200.685635881057[/C][C]-4.6856358810567[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]208.144971709426[/C][C]-12.1449717094261[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]220.689112540808[/C][C]15.310887459192[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]213.789920520889[/C][C]21.2100794791114[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.787331740528[/C][C]6.21266825947168[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]253.774189579802[/C][C]-10.7741895798022[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.00816897443[/C][C]2.99183102556992[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]269.167807518786[/C][C]2.83219248121378[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]237.95618678454[/C][C]-0.956186784540307[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.640392882199[/C][C]-8.6403928821988[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]199.162435425533[/C][C]-19.1624354255327[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]216.642919355326[/C][C]-15.6429193553264[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]215.725163322482[/C][C]-11.7251633224824[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]215.568185948207[/C][C]-27.5681859482071[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]244.542771479218[/C][C]-9.54277147921769[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]235.311347905093[/C][C]-8.31134790509267[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.851226946991[/C][C]9.14877305300945[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]242.957703039887[/C][C]21.0422969601127[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]267.87231929887[/C][C]34.1276807011296[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]283.337779746876[/C][C]9.66222025312373[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]250.734646991179[/C][C]8.26535300882136[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.76948330091[/C][C]0.230516699089975[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]202.49700729617[/C][C]0.502992703829761[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]227.587791285747[/C][C]1.41220871425273[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]234.078621708001[/C][C]7.92137829199925[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]227.280122971016[/C][C]5.71987702898392[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]278.751213081092[/C][C]-11.7512130810916[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]270.565926630948[/C][C]-1.5659266309483[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]275.634536741208[/C][C]-5.63453674120785[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]299.618595266555[/C][C]15.3814047334445[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]333.520636813287[/C][C]30.4793631867127[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]330.201563104207[/C][C]16.7984368957933[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.897647562399[/C][C]13.1023524376011[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]272.710985777354[/C][C]1.28901422264624[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]247.53659554364[/C][C]-10.5365955436402[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]271.109952789839[/C][C]6.89004721016096[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]284.437307658672[/C][C]-0.437307658672239[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]274.422083339494[/C][C]2.57791666050576[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]312.459730593004[/C][C]4.54026940699589[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.597926811575[/C][C]-3.59792681157455[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.70963058687[/C][C]-0.709630586870162[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]360.368584499746[/C][C]13.6314155002536[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]405.824869710265[/C][C]7.17513028973451[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]386.873019883061[/C][C]18.126980116939[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]353.564640637353[/C][C]1.43535936264681[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]315.946740877587[/C][C]-9.94674087758744[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]279.342602124885[/C][C]-8.34260212488471[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]316.83391044474[/C][C]-10.8339104447402[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]320.372592752746[/C][C]-5.3725927527455[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]311.475546446946[/C][C]-10.4755464469461[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]347.714814000746[/C][C]8.28518599925422[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]346.655993774083[/C][C]1.3440062259167[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]352.202179299065[/C][C]2.79782070093495[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]405.582887635467[/C][C]16.4171123645332[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]446.965379597209[/C][C]18.034620402791[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]439.12632237637[/C][C]27.8736776236296[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]395.949259167776[/C][C]8.05074083222434[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]351.735857721495[/C][C]-4.73585772149539[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]317.998757010999[/C][C]-12.9987570109991[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]352.790665052808[/C][C]-16.7906650528075[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]359.237140476179[/C][C]-19.2371404761793[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]343.223593245563[/C][C]-25.2235932455625[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]389.947459573453[/C][C]-27.9474595734534[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]374.406789879841[/C][C]-26.4067898798411[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]373.650027638874[/C][C]-10.6500276388742[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]433.308118043726[/C][C]1.69188195627368[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]471.499333939276[/C][C]19.5006660607241[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]470.679272945316[/C][C]34.3207270546843[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]413.504477870092[/C][C]-9.50447787009193[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.483041056435[/C][C]4.51695894356527[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]316.066448406359[/C][C]-6.06644840635863[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]349.025200176063[/C][C]-12.0252001760634[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]354.153856208751[/C][C]5.84614379124918[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]339.413066656394[/C][C]2.58693334360578[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.777674042406[/C][C]15.2223259575936[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]387.262984667483[/C][C]8.73701533251727[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.534097462558[/C][C]12.4659025374422[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]482.867470544423[/C][C]-10.867470544423[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]531.891710015522[/C][C]16.1082899844778[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]541.901021739745[/C][C]17.0989782602554[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]447.875390224938[/C][C]15.1246097750618[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]406.094345030001[/C][C]0.905654969998693[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]359.380907870101[/C][C]2.61909212989923[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]390.644236750491[/C][C]14.3557632495089[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]416.612314574266[/C][C]0.387685425733935[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]398.878286514509[/C][C]-7.87828651450872[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]457.871953443463[/C][C]-38.8719534434628[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]436.325333374695[/C][C]24.6746666253047[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]463.747561389847[/C][C]8.25243861015269[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]520.847393660953[/C][C]14.1526063390472[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]596.935578762723[/C][C]25.0644212372767[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]610.560492406651[/C][C]-4.56049240665084[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.14372167159[/C][C]-2.14372167158962[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]453.704068818089[/C][C]7.29593118191099[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]410.234924183382[/C][C]-20.2349241833816[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]444.833325554046[/C][C]-12.833325554046[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313742&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313742&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
13115110.6431623931624.35683760683766
14126122.0731433875873.92685661241272
15141137.4301320536283.56986794637163
16135132.0625039833162.9374960166837
17125123.063226970461.93677302954006
18149147.4990623845791.50093761542098
19170160.1313474162149.86865258378634
20170163.5063250513586.49367494864239
21158153.8500500719084.14994992809187
22133138.731495445679-5.73149544567858
23114123.321997399522-9.32199739952222
24140135.6090430410434.39095695895742
25145136.8604638401148.13953615988564
26150149.1778641595620.822135840438364
27178163.74277873872514.2572212612748
28163160.887368307282.1126316927203
29172151.2616671194820.7383328805204
30178180.523451938488-2.52345193848808
31199198.9079414187760.0920585812235686
32199197.6941126433421.30588735665759
33184185.317990243194-1.31799024319366
34162161.6946288593070.305371140692898
35146145.4157878514150.584212148585237
36166170.890657487435-4.89065748743522
37171172.999007307477-1.99900730747714
38180177.5519720772152.44802792278534
39193202.890186966572-9.89018696657155
40181184.973617184964-3.9736171849643
41183187.853581322794-4.8535813227945
42218193.06418760533624.9358123946635
43230220.2479488461139.75205115388661
44242222.44849022136719.5515097786334
45209212.885752351812-3.88575235181227
46191190.0870074036010.912992596399391
47172174.41421857194-2.41421857193995
48194195.248286577791-1.24828657779145
49196200.685635881057-4.6856358810567
50196208.144971709426-12.1449717094261
51236220.68911254080815.310887459192
52235213.78992052088921.2100794791114
53229222.7873317405286.21266825947168
54243253.774189579802-10.7741895798022
55264261.008168974432.99183102556992
56272269.1678075187862.83219248121378
57237237.95618678454-0.956186784540307
58211219.640392882199-8.6403928821988
59180199.162435425533-19.1624354255327
60201216.642919355326-15.6429193553264
61204215.725163322482-11.7251633224824
62188215.568185948207-27.5681859482071
63235244.542771479218-9.54277147921769
64227235.311347905093-8.31134790509267
65234224.8512269469919.14877305300945
66264242.95770303988721.0422969601127
67302267.8723192988734.1276807011296
68293283.3377797468769.66222025312373
69259250.7346469911798.26535300882136
70229228.769483300910.230516699089975
71203202.497007296170.502992703829761
72229227.5877912857471.41220871425273
73242234.0786217080017.92137829199925
74233227.2801229710165.71987702898392
75267278.751213081092-11.7512130810916
76269270.565926630948-1.5659266309483
77270275.634536741208-5.63453674120785
78315299.61859526655515.3814047334445
79364333.52063681328730.4793631867127
80347330.20156310420716.7984368957933
81312298.89764756239913.1023524376011
82274272.7109857773541.28901422264624
83237247.53659554364-10.5365955436402
84278271.1099527898396.89004721016096
85284284.437307658672-0.437307658672239
86277274.4220833394942.57791666050576
87317312.4597305930044.54026940699589
88313316.597926811575-3.59792681157455
89318318.70963058687-0.709630586870162
90374360.36858449974613.6314155002536
91413405.8248697102657.17513028973451
92405386.87301988306118.126980116939
93355353.5646406373531.43535936264681
94306315.946740877587-9.94674087758744
95271279.342602124885-8.34260212488471
96306316.83391044474-10.8339104447402
97315320.372592752746-5.3725927527455
98301311.475546446946-10.4755464469461
99356347.7148140007468.28518599925422
100348346.6559937740831.3440062259167
101355352.2021792990652.79782070093495
102422405.58288763546716.4171123645332
103465446.96537959720918.034620402791
104467439.1263223763727.8736776236296
105404395.9492591677768.05074083222434
106347351.735857721495-4.73585772149539
107305317.998757010999-12.9987570109991
108336352.790665052808-16.7906650528075
109340359.237140476179-19.2371404761793
110318343.223593245563-25.2235932455625
111362389.947459573453-27.9474595734534
112348374.406789879841-26.4067898798411
113363373.650027638874-10.6500276388742
114435433.3081180437261.69188195627368
115491471.49933393927619.5006660607241
116505470.67927294531634.3207270546843
117404413.504477870092-9.50447787009193
118359354.4830410564354.51695894356527
119310316.066448406359-6.06644840635863
120337349.025200176063-12.0252001760634
121360354.1538562087515.84614379124918
122342339.4130666563942.58693334360578
123406390.77767404240615.2223259575936
124396387.2629846674838.73701533251727
125420407.53409746255812.4659025374422
126472482.867470544423-10.867470544423
127548531.89171001552216.1082899844778
128559541.90102173974517.0989782602554
129463447.87539022493815.1246097750618
130407406.0943450300010.905654969998693
131362359.3809078701012.61909212989923
132405390.64423675049114.3557632495089
133417416.6123145742660.387685425733935
134391398.878286514509-7.87828651450872
135419457.871953443463-38.8719534434628
136461436.32533337469524.6746666253047
137472463.7475613898478.25243861015269
138535520.84739366095314.1526063390472
139622596.93557876272325.0644212372767
140606610.560492406651-4.56049240665084
141508510.14372167159-2.14372167158962
142461453.7040688180897.29593118191099
143390410.234924183382-20.2349241833816
144432444.833325554046-12.833325554046







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145453.497721751322428.415266965021478.580176537623
146429.390569251949403.49600160324455.285136900659
147467.036052088739440.301472551841493.770631625637
148503.25740665386475.655792079981530.859021227739
149512.339520167483.844695250902540.834345083098
150571.887965749639542.474571456702601.301360042575
151652.609534991379622.252994696779682.966075285979
152637.462256917306606.138741269289668.785772565324
153539.754768946301507.441160256026572.068377636576
154490.72498608621457.398842867375524.051129305044
155424.459265263961390.098787394926458.819743132996
156469.531518789793434.115513646617504.947523932969

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 453.497721751322 & 428.415266965021 & 478.580176537623 \tabularnewline
146 & 429.390569251949 & 403.49600160324 & 455.285136900659 \tabularnewline
147 & 467.036052088739 & 440.301472551841 & 493.770631625637 \tabularnewline
148 & 503.25740665386 & 475.655792079981 & 530.859021227739 \tabularnewline
149 & 512.339520167 & 483.844695250902 & 540.834345083098 \tabularnewline
150 & 571.887965749639 & 542.474571456702 & 601.301360042575 \tabularnewline
151 & 652.609534991379 & 622.252994696779 & 682.966075285979 \tabularnewline
152 & 637.462256917306 & 606.138741269289 & 668.785772565324 \tabularnewline
153 & 539.754768946301 & 507.441160256026 & 572.068377636576 \tabularnewline
154 & 490.72498608621 & 457.398842867375 & 524.051129305044 \tabularnewline
155 & 424.459265263961 & 390.098787394926 & 458.819743132996 \tabularnewline
156 & 469.531518789793 & 434.115513646617 & 504.947523932969 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313742&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]428.415266965021[/C][C]478.580176537623[/C][/ROW]
[ROW][C]146[/C][C]429.390569251949[/C][C]403.49600160324[/C][C]455.285136900659[/C][/ROW]
[ROW][C]147[/C][C]467.036052088739[/C][C]440.301472551841[/C][C]493.770631625637[/C][/ROW]
[ROW][C]148[/C][C]503.25740665386[/C][C]475.655792079981[/C][C]530.859021227739[/C][/ROW]
[ROW][C]149[/C][C]512.339520167[/C][C]483.844695250902[/C][C]540.834345083098[/C][/ROW]
[ROW][C]150[/C][C]571.887965749639[/C][C]542.474571456702[/C][C]601.301360042575[/C][/ROW]
[ROW][C]151[/C][C]652.609534991379[/C][C]622.252994696779[/C][C]682.966075285979[/C][/ROW]
[ROW][C]152[/C][C]637.462256917306[/C][C]606.138741269289[/C][C]668.785772565324[/C][/ROW]
[ROW][C]153[/C][C]539.754768946301[/C][C]507.441160256026[/C][C]572.068377636576[/C][/ROW]
[ROW][C]154[/C][C]490.72498608621[/C][C]457.398842867375[/C][C]524.051129305044[/C][/ROW]
[ROW][C]155[/C][C]424.459265263961[/C][C]390.098787394926[/C][C]458.819743132996[/C][/ROW]
[ROW][C]156[/C][C]469.531518789793[/C][C]434.115513646617[/C][C]504.947523932969[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313742&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313742&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
145453.497721751322428.415266965021478.580176537623
146429.390569251949403.49600160324455.285136900659
147467.036052088739440.301472551841493.770631625637
148503.25740665386475.655792079981530.859021227739
149512.339520167483.844695250902540.834345083098
150571.887965749639542.474571456702601.301360042575
151652.609534991379622.252994696779682.966075285979
152637.462256917306606.138741269289668.785772565324
153539.754768946301507.441160256026572.068377636576
154490.72498608621457.398842867375524.051129305044
155424.459265263961390.098787394926458.819743132996
156469.531518789793434.115513646617504.947523932969



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')