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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 Dec 2011 16:12:30 -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/2011/Dec/01/t1322773985nywq8ksy9f2do2r.htm/, Retrieved Sat, 27 Apr 2024 00:19:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150001, Retrieved Sat, 27 Apr 2024 00:19:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [] [2011-12-01 20:49:47] [ff74c68cc78961a8924de2f2c00accbc]
- RMP     [Exponential Smoothing] [] [2011-12-01 21:12:30] [0b5336524434486374423216ee0ff518] [Current]
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Dataseries X:
112
118
132
129
121
135
148
148
136
119
104
118
115
126
141
135
125
149
170
170
158
133
114
140
145
150
178
163
172
178
199
199
184
162
146
166
171
180
193
181
183
218
230
242
209
191
172
194
196
196
236
235
229
243
264
272
237
211
180
201
204
188
235
227
234
264
302
293
259
229
203
229
242
233
267
269
270
315
364
347
312
274
237
278
284
277
317
313
318
374
413
405
355
306
271
306
315
301
356
348
355
422
465
467
404
347
305
336
340
318
362
348
363
435
491
505
404
359
310
337
360
342
406
396
420
472
548
559
463
407
362
405
417
391
419
461
472
535
622
606
508
461
390
432




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150001&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150001&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150001&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.247959489735662
beta0.0345337296488508
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.247959489735662 \tabularnewline
beta & 0.0345337296488508 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150001&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]0.247959489735662[/C][/ROW]
[ROW][C]beta[/C][C]0.0345337296488508[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150001&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150001&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
alpha0.247959489735662
beta0.0345337296488508
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115110.6431623931624.35683760683766
14126122.0731433875873.92685661241254
15141137.4301320536293.56986794637123
16135132.0625039833172.93749601668324
17125123.063226970461.93677302953955
18149147.499062384581.50093761542047
19170160.1313474162149.86865258378589
20170163.5063250513586.49367494864154
21158153.8500500719094.1499499280909
22133138.73149544568-5.73149544567951
23114123.321997399523-9.32199739952267
24140135.6090430410434.39095695895742
25145136.8604638401148.13953615988561
26150149.1778641595620.822135840438136
27178163.74277873872514.2572212612747
28163160.887368307282.11263169271956
29172151.2616671194820.7383328805197
30178180.52345193849-2.52345193848967
31199198.9079414187770.0920585812227159
32199197.6941126433431.30588735665697
33184185.317990243194-1.31799024319429
34162161.6946288593080.30537114069196
35146145.4157878514160.584212148583987
36166170.890657487436-4.89065748743607
37171172.999007307477-1.99900730747729
38180177.5519720772152.44802792278526
39193202.890186966571-9.89018696657118
40181184.973617184964-3.97361718496364
41183187.853581322793-4.8535813227931
42218193.06418760533624.9358123946644
43230220.2479488461149.75205115388604
44242222.44849022136819.5515097786324
45209212.885752351814-3.88575235181406
46191190.0870074036020.912992596397913
47172174.414218571941-2.4142185719414
48194195.248286577793-1.24828657779287
49196200.685635881058-4.68563588105786
50196208.144971709427-12.1449717094267
51236220.68911254080815.3108874591918
52235213.78992052088921.2100794791106
53229222.787331740536.21266825947021
54243253.774189579802-10.7741895798024
55264261.008168974432.99183102557049
56272269.1678075187852.83219248121463
57237237.95618678454-0.956186784540336
58211219.640392882199-8.64039288219908
59180199.162435425533-19.162435425533
60201216.642919355326-15.6429193553262
61204215.725163322482-11.725163322482
62188215.568185948207-27.5681859482069
63235244.542771479216-9.5427714792157
64227235.31134790509-8.31134790508995
65234224.8512269469889.14877305301198
66264242.95770303988621.0422969601139
67302267.8723192988734.12768070113
68293283.3377797468779.66222025312294
69259250.734646991188.26535300882028
70229228.7694833009120.230516699088383
71203202.4970072961720.502992703827658
72229227.5877912857491.41220871425051
73242234.0786217080037.92137829199703
74233227.2801229710195.71987702898079
75267278.751213081094-11.7512130810943
76269270.56592663095-1.56592663094966
77270275.634536741208-5.63453674120797
78315299.61859526655415.3814047334458
79364333.52063681328530.4793631867145
80347330.20156310420616.7984368957937
81312298.89764756239913.1023524376007
82274272.7109857773551.28901422264494
83237247.536595543642-10.5365955436419
84278271.109952789846.89004721015959
85284284.437307658674-0.437307658673831
86277274.4220833394962.577916660504
87317312.4597305930074.54026940699327
88313316.597926811577-3.59792681157728
89318318.709630586872-0.709630586872436
90374360.36858449974713.6314155002528
91413405.8248697102657.17513028973497
92405386.8730198830618.1269801169398
93355353.5646406373531.43535936264703
94306315.946740877588-9.94674087758762
95271279.342602124885-8.34260212488516
96306316.83391044474-10.8339104447402
97315320.372592752745-5.37259275274545
98301311.475546446946-10.4755464469461
99356347.7148140007468.28518599925434
100348346.6559937740841.34400622591573
101355352.2021792990662.79782070093353
102422405.58288763546816.4171123645324
103465446.9653795972118.0346204027903
104467439.12632237637127.8736776236293
105404395.9492591677778.05074083222297
106347351.735857721497-4.73585772149727
107305317.998757011001-12.9987570110009
108336352.790665052809-16.7906650528088
109340359.23714047618-19.2371404761798
110318343.223593245562-25.2235932455625
111362389.947459573452-27.9474595734519
112348374.406789879839-26.4067898798388
113363373.650027638871-10.6500276388714
114435433.3081180437231.6918819562768
115491471.49933393927319.5006660607271
116505470.67927294531334.3207270546869
117404413.504477870091-9.50447787009125
118359354.4830410564344.51695894356573
119310316.066448406359-6.06644840635943
120337349.025200176065-12.0252001760647
121360354.1538562087525.84614379124787
122342339.4130666563962.5869333436035
123406390.77767404240915.2223259575909
124396387.2629846674868.73701533251403
125420407.53409746256112.4659025374395
126472482.867470544425-10.8674705444249
127548531.89171001552216.1082899844782
128559541.90102173974317.0989782602572
129463447.87539022493815.1246097750622
130407406.0943450300010.905654969998579
131362359.3809078701012.61909212989866
132405390.64423675049314.3557632495074
133417416.6123145742680.387685425732002
134391398.878286514511-7.87828651451076
135419457.871953443464-38.8719534434642
136461436.32533337469524.6746666253048
137472463.7475613898488.25243861015167
138535520.84739366095514.1526063390452
139622596.93557876272525.0644212372754
140606610.560492406652-4.56049240665175
141508510.143721671589-2.14372167158945
142461453.7040688180897.29593118191116
143390410.234924183382-20.2349241833817
144432444.833325554045-12.8333255540451

\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 & 3.92685661241254 \tabularnewline
15 & 141 & 137.430132053629 & 3.56986794637123 \tabularnewline
16 & 135 & 132.062503983317 & 2.93749601668324 \tabularnewline
17 & 125 & 123.06322697046 & 1.93677302953955 \tabularnewline
18 & 149 & 147.49906238458 & 1.50093761542047 \tabularnewline
19 & 170 & 160.131347416214 & 9.86865258378589 \tabularnewline
20 & 170 & 163.506325051358 & 6.49367494864154 \tabularnewline
21 & 158 & 153.850050071909 & 4.1499499280909 \tabularnewline
22 & 133 & 138.73149544568 & -5.73149544567951 \tabularnewline
23 & 114 & 123.321997399523 & -9.32199739952267 \tabularnewline
24 & 140 & 135.609043041043 & 4.39095695895742 \tabularnewline
25 & 145 & 136.860463840114 & 8.13953615988561 \tabularnewline
26 & 150 & 149.177864159562 & 0.822135840438136 \tabularnewline
27 & 178 & 163.742778738725 & 14.2572212612747 \tabularnewline
28 & 163 & 160.88736830728 & 2.11263169271956 \tabularnewline
29 & 172 & 151.26166711948 & 20.7383328805197 \tabularnewline
30 & 178 & 180.52345193849 & -2.52345193848967 \tabularnewline
31 & 199 & 198.907941418777 & 0.0920585812227159 \tabularnewline
32 & 199 & 197.694112643343 & 1.30588735665697 \tabularnewline
33 & 184 & 185.317990243194 & -1.31799024319429 \tabularnewline
34 & 162 & 161.694628859308 & 0.30537114069196 \tabularnewline
35 & 146 & 145.415787851416 & 0.584212148583987 \tabularnewline
36 & 166 & 170.890657487436 & -4.89065748743607 \tabularnewline
37 & 171 & 172.999007307477 & -1.99900730747729 \tabularnewline
38 & 180 & 177.551972077215 & 2.44802792278526 \tabularnewline
39 & 193 & 202.890186966571 & -9.89018696657118 \tabularnewline
40 & 181 & 184.973617184964 & -3.97361718496364 \tabularnewline
41 & 183 & 187.853581322793 & -4.8535813227931 \tabularnewline
42 & 218 & 193.064187605336 & 24.9358123946644 \tabularnewline
43 & 230 & 220.247948846114 & 9.75205115388604 \tabularnewline
44 & 242 & 222.448490221368 & 19.5515097786324 \tabularnewline
45 & 209 & 212.885752351814 & -3.88575235181406 \tabularnewline
46 & 191 & 190.087007403602 & 0.912992596397913 \tabularnewline
47 & 172 & 174.414218571941 & -2.4142185719414 \tabularnewline
48 & 194 & 195.248286577793 & -1.24828657779287 \tabularnewline
49 & 196 & 200.685635881058 & -4.68563588105786 \tabularnewline
50 & 196 & 208.144971709427 & -12.1449717094267 \tabularnewline
51 & 236 & 220.689112540808 & 15.3108874591918 \tabularnewline
52 & 235 & 213.789920520889 & 21.2100794791106 \tabularnewline
53 & 229 & 222.78733174053 & 6.21266825947021 \tabularnewline
54 & 243 & 253.774189579802 & -10.7741895798024 \tabularnewline
55 & 264 & 261.00816897443 & 2.99183102557049 \tabularnewline
56 & 272 & 269.167807518785 & 2.83219248121463 \tabularnewline
57 & 237 & 237.95618678454 & -0.956186784540336 \tabularnewline
58 & 211 & 219.640392882199 & -8.64039288219908 \tabularnewline
59 & 180 & 199.162435425533 & -19.162435425533 \tabularnewline
60 & 201 & 216.642919355326 & -15.6429193553262 \tabularnewline
61 & 204 & 215.725163322482 & -11.725163322482 \tabularnewline
62 & 188 & 215.568185948207 & -27.5681859482069 \tabularnewline
63 & 235 & 244.542771479216 & -9.5427714792157 \tabularnewline
64 & 227 & 235.31134790509 & -8.31134790508995 \tabularnewline
65 & 234 & 224.851226946988 & 9.14877305301198 \tabularnewline
66 & 264 & 242.957703039886 & 21.0422969601139 \tabularnewline
67 & 302 & 267.87231929887 & 34.12768070113 \tabularnewline
68 & 293 & 283.337779746877 & 9.66222025312294 \tabularnewline
69 & 259 & 250.73464699118 & 8.26535300882028 \tabularnewline
70 & 229 & 228.769483300912 & 0.230516699088383 \tabularnewline
71 & 203 & 202.497007296172 & 0.502992703827658 \tabularnewline
72 & 229 & 227.587791285749 & 1.41220871425051 \tabularnewline
73 & 242 & 234.078621708003 & 7.92137829199703 \tabularnewline
74 & 233 & 227.280122971019 & 5.71987702898079 \tabularnewline
75 & 267 & 278.751213081094 & -11.7512130810943 \tabularnewline
76 & 269 & 270.56592663095 & -1.56592663094966 \tabularnewline
77 & 270 & 275.634536741208 & -5.63453674120797 \tabularnewline
78 & 315 & 299.618595266554 & 15.3814047334458 \tabularnewline
79 & 364 & 333.520636813285 & 30.4793631867145 \tabularnewline
80 & 347 & 330.201563104206 & 16.7984368957937 \tabularnewline
81 & 312 & 298.897647562399 & 13.1023524376007 \tabularnewline
82 & 274 & 272.710985777355 & 1.28901422264494 \tabularnewline
83 & 237 & 247.536595543642 & -10.5365955436419 \tabularnewline
84 & 278 & 271.10995278984 & 6.89004721015959 \tabularnewline
85 & 284 & 284.437307658674 & -0.437307658673831 \tabularnewline
86 & 277 & 274.422083339496 & 2.577916660504 \tabularnewline
87 & 317 & 312.459730593007 & 4.54026940699327 \tabularnewline
88 & 313 & 316.597926811577 & -3.59792681157728 \tabularnewline
89 & 318 & 318.709630586872 & -0.709630586872436 \tabularnewline
90 & 374 & 360.368584499747 & 13.6314155002528 \tabularnewline
91 & 413 & 405.824869710265 & 7.17513028973497 \tabularnewline
92 & 405 & 386.87301988306 & 18.1269801169398 \tabularnewline
93 & 355 & 353.564640637353 & 1.43535936264703 \tabularnewline
94 & 306 & 315.946740877588 & -9.94674087758762 \tabularnewline
95 & 271 & 279.342602124885 & -8.34260212488516 \tabularnewline
96 & 306 & 316.83391044474 & -10.8339104447402 \tabularnewline
97 & 315 & 320.372592752745 & -5.37259275274545 \tabularnewline
98 & 301 & 311.475546446946 & -10.4755464469461 \tabularnewline
99 & 356 & 347.714814000746 & 8.28518599925434 \tabularnewline
100 & 348 & 346.655993774084 & 1.34400622591573 \tabularnewline
101 & 355 & 352.202179299066 & 2.79782070093353 \tabularnewline
102 & 422 & 405.582887635468 & 16.4171123645324 \tabularnewline
103 & 465 & 446.96537959721 & 18.0346204027903 \tabularnewline
104 & 467 & 439.126322376371 & 27.8736776236293 \tabularnewline
105 & 404 & 395.949259167777 & 8.05074083222297 \tabularnewline
106 & 347 & 351.735857721497 & -4.73585772149727 \tabularnewline
107 & 305 & 317.998757011001 & -12.9987570110009 \tabularnewline
108 & 336 & 352.790665052809 & -16.7906650528088 \tabularnewline
109 & 340 & 359.23714047618 & -19.2371404761798 \tabularnewline
110 & 318 & 343.223593245562 & -25.2235932455625 \tabularnewline
111 & 362 & 389.947459573452 & -27.9474595734519 \tabularnewline
112 & 348 & 374.406789879839 & -26.4067898798388 \tabularnewline
113 & 363 & 373.650027638871 & -10.6500276388714 \tabularnewline
114 & 435 & 433.308118043723 & 1.6918819562768 \tabularnewline
115 & 491 & 471.499333939273 & 19.5006660607271 \tabularnewline
116 & 505 & 470.679272945313 & 34.3207270546869 \tabularnewline
117 & 404 & 413.504477870091 & -9.50447787009125 \tabularnewline
118 & 359 & 354.483041056434 & 4.51695894356573 \tabularnewline
119 & 310 & 316.066448406359 & -6.06644840635943 \tabularnewline
120 & 337 & 349.025200176065 & -12.0252001760647 \tabularnewline
121 & 360 & 354.153856208752 & 5.84614379124787 \tabularnewline
122 & 342 & 339.413066656396 & 2.5869333436035 \tabularnewline
123 & 406 & 390.777674042409 & 15.2223259575909 \tabularnewline
124 & 396 & 387.262984667486 & 8.73701533251403 \tabularnewline
125 & 420 & 407.534097462561 & 12.4659025374395 \tabularnewline
126 & 472 & 482.867470544425 & -10.8674705444249 \tabularnewline
127 & 548 & 531.891710015522 & 16.1082899844782 \tabularnewline
128 & 559 & 541.901021739743 & 17.0989782602572 \tabularnewline
129 & 463 & 447.875390224938 & 15.1246097750622 \tabularnewline
130 & 407 & 406.094345030001 & 0.905654969998579 \tabularnewline
131 & 362 & 359.380907870101 & 2.61909212989866 \tabularnewline
132 & 405 & 390.644236750493 & 14.3557632495074 \tabularnewline
133 & 417 & 416.612314574268 & 0.387685425732002 \tabularnewline
134 & 391 & 398.878286514511 & -7.87828651451076 \tabularnewline
135 & 419 & 457.871953443464 & -38.8719534434642 \tabularnewline
136 & 461 & 436.325333374695 & 24.6746666253048 \tabularnewline
137 & 472 & 463.747561389848 & 8.25243861015167 \tabularnewline
138 & 535 & 520.847393660955 & 14.1526063390452 \tabularnewline
139 & 622 & 596.935578762725 & 25.0644212372754 \tabularnewline
140 & 606 & 610.560492406652 & -4.56049240665175 \tabularnewline
141 & 508 & 510.143721671589 & -2.14372167158945 \tabularnewline
142 & 461 & 453.704068818089 & 7.29593118191116 \tabularnewline
143 & 390 & 410.234924183382 & -20.2349241833817 \tabularnewline
144 & 432 & 444.833325554045 & -12.8333255540451 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150001&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]3.92685661241254[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.430132053629[/C][C]3.56986794637123[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.062503983317[/C][C]2.93749601668324[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.06322697046[/C][C]1.93677302953955[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.49906238458[/C][C]1.50093761542047[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]160.131347416214[/C][C]9.86865258378589[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]163.506325051358[/C][C]6.49367494864154[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.850050071909[/C][C]4.1499499280909[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]138.73149544568[/C][C]-5.73149544567951[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]123.321997399523[/C][C]-9.32199739952267[/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]8.13953615988561[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.177864159562[/C][C]0.822135840438136[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]163.742778738725[/C][C]14.2572212612747[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]160.88736830728[/C][C]2.11263169271956[/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]180.52345193849[/C][C]-2.52345193848967[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]198.907941418777[/C][C]0.0920585812227159[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]197.694112643343[/C][C]1.30588735665697[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]185.317990243194[/C][C]-1.31799024319429[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]161.694628859308[/C][C]0.30537114069196[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]145.415787851416[/C][C]0.584212148583987[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]170.890657487436[/C][C]-4.89065748743607[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.999007307477[/C][C]-1.99900730747729[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.551972077215[/C][C]2.44802792278526[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]202.890186966571[/C][C]-9.89018696657118[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]184.973617184964[/C][C]-3.97361718496364[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]187.853581322793[/C][C]-4.8535813227931[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]193.064187605336[/C][C]24.9358123946644[/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]222.448490221368[/C][C]19.5515097786324[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]212.885752351814[/C][C]-3.88575235181406[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]190.087007403602[/C][C]0.912992596397913[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]174.414218571941[/C][C]-2.4142185719414[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]195.248286577793[/C][C]-1.24828657779287[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]200.685635881058[/C][C]-4.68563588105786[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]208.144971709427[/C][C]-12.1449717094267[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]220.689112540808[/C][C]15.3108874591918[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]213.789920520889[/C][C]21.2100794791106[/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]253.774189579802[/C][C]-10.7741895798024[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.00816897443[/C][C]2.99183102557049[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]269.167807518785[/C][C]2.83219248121463[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]237.95618678454[/C][C]-0.956186784540336[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.640392882199[/C][C]-8.64039288219908[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]199.162435425533[/C][C]-19.162435425533[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]216.642919355326[/C][C]-15.6429193553262[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]215.725163322482[/C][C]-11.725163322482[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]215.568185948207[/C][C]-27.5681859482069[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]244.542771479216[/C][C]-9.5427714792157[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]235.31134790509[/C][C]-8.31134790508995[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.851226946988[/C][C]9.14877305301198[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]242.957703039886[/C][C]21.0422969601139[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]267.87231929887[/C][C]34.12768070113[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]283.337779746877[/C][C]9.66222025312294[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]250.73464699118[/C][C]8.26535300882028[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.769483300912[/C][C]0.230516699088383[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]202.497007296172[/C][C]0.502992703827658[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]227.587791285749[/C][C]1.41220871425051[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]234.078621708003[/C][C]7.92137829199703[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]227.280122971019[/C][C]5.71987702898079[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]278.751213081094[/C][C]-11.7512130810943[/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]275.634536741208[/C][C]-5.63453674120797[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]299.618595266554[/C][C]15.3814047334458[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]333.520636813285[/C][C]30.4793631867145[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]330.201563104206[/C][C]16.7984368957937[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.897647562399[/C][C]13.1023524376007[/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]-10.5365955436419[/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]2.577916660504[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]312.459730593007[/C][C]4.54026940699327[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.597926811577[/C][C]-3.59792681157728[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.709630586872[/C][C]-0.709630586872436[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]360.368584499747[/C][C]13.6314155002528[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]405.824869710265[/C][C]7.17513028973497[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]386.87301988306[/C][C]18.1269801169398[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]353.564640637353[/C][C]1.43535936264703[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]315.946740877588[/C][C]-9.94674087758762[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]279.342602124885[/C][C]-8.34260212488516[/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]320.372592752745[/C][C]-5.37259275274545[/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]8.28518599925434[/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]2.79782070093353[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]405.582887635468[/C][C]16.4171123645324[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]446.96537959721[/C][C]18.0346204027903[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]439.126322376371[/C][C]27.8736776236293[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]395.949259167777[/C][C]8.05074083222297[/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]-16.7906650528088[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]359.23714047618[/C][C]-19.2371404761798[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]343.223593245562[/C][C]-25.2235932455625[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]389.947459573452[/C][C]-27.9474595734519[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]374.406789879839[/C][C]-26.4067898798388[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]373.650027638871[/C][C]-10.6500276388714[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]433.308118043723[/C][C]1.6918819562768[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]471.499333939273[/C][C]19.5006660607271[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]470.679272945313[/C][C]34.3207270546869[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]413.504477870091[/C][C]-9.50447787009125[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.483041056434[/C][C]4.51695894356573[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]316.066448406359[/C][C]-6.06644840635943[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]349.025200176065[/C][C]-12.0252001760647[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]354.153856208752[/C][C]5.84614379124787[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]339.413066656396[/C][C]2.5869333436035[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.777674042409[/C][C]15.2223259575909[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]387.262984667486[/C][C]8.73701533251403[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.534097462561[/C][C]12.4659025374395[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]482.867470544425[/C][C]-10.8674705444249[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]531.891710015522[/C][C]16.1082899844782[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]541.901021739743[/C][C]17.0989782602572[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]447.875390224938[/C][C]15.1246097750622[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]406.094345030001[/C][C]0.905654969998579[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]359.380907870101[/C][C]2.61909212989866[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]390.644236750493[/C][C]14.3557632495074[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]416.612314574268[/C][C]0.387685425732002[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]398.878286514511[/C][C]-7.87828651451076[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]457.871953443464[/C][C]-38.8719534434642[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]436.325333374695[/C][C]24.6746666253048[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]463.747561389848[/C][C]8.25243861015167[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]520.847393660955[/C][C]14.1526063390452[/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]-4.56049240665175[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.143721671589[/C][C]-2.14372167158945[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]453.704068818089[/C][C]7.29593118191116[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]410.234924183382[/C][C]-20.2349241833817[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]444.833325554045[/C][C]-12.8333255540451[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150001&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150001&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
14126122.0731433875873.92685661241254
15141137.4301320536293.56986794637123
16135132.0625039833172.93749601668324
17125123.063226970461.93677302953955
18149147.499062384581.50093761542047
19170160.1313474162149.86865258378589
20170163.5063250513586.49367494864154
21158153.8500500719094.1499499280909
22133138.73149544568-5.73149544567951
23114123.321997399523-9.32199739952267
24140135.6090430410434.39095695895742
25145136.8604638401148.13953615988561
26150149.1778641595620.822135840438136
27178163.74277873872514.2572212612747
28163160.887368307282.11263169271956
29172151.2616671194820.7383328805197
30178180.52345193849-2.52345193848967
31199198.9079414187770.0920585812227159
32199197.6941126433431.30588735665697
33184185.317990243194-1.31799024319429
34162161.6946288593080.30537114069196
35146145.4157878514160.584212148583987
36166170.890657487436-4.89065748743607
37171172.999007307477-1.99900730747729
38180177.5519720772152.44802792278526
39193202.890186966571-9.89018696657118
40181184.973617184964-3.97361718496364
41183187.853581322793-4.8535813227931
42218193.06418760533624.9358123946644
43230220.2479488461149.75205115388604
44242222.44849022136819.5515097786324
45209212.885752351814-3.88575235181406
46191190.0870074036020.912992596397913
47172174.414218571941-2.4142185719414
48194195.248286577793-1.24828657779287
49196200.685635881058-4.68563588105786
50196208.144971709427-12.1449717094267
51236220.68911254080815.3108874591918
52235213.78992052088921.2100794791106
53229222.787331740536.21266825947021
54243253.774189579802-10.7741895798024
55264261.008168974432.99183102557049
56272269.1678075187852.83219248121463
57237237.95618678454-0.956186784540336
58211219.640392882199-8.64039288219908
59180199.162435425533-19.162435425533
60201216.642919355326-15.6429193553262
61204215.725163322482-11.725163322482
62188215.568185948207-27.5681859482069
63235244.542771479216-9.5427714792157
64227235.31134790509-8.31134790508995
65234224.8512269469889.14877305301198
66264242.95770303988621.0422969601139
67302267.8723192988734.12768070113
68293283.3377797468779.66222025312294
69259250.734646991188.26535300882028
70229228.7694833009120.230516699088383
71203202.4970072961720.502992703827658
72229227.5877912857491.41220871425051
73242234.0786217080037.92137829199703
74233227.2801229710195.71987702898079
75267278.751213081094-11.7512130810943
76269270.56592663095-1.56592663094966
77270275.634536741208-5.63453674120797
78315299.61859526655415.3814047334458
79364333.52063681328530.4793631867145
80347330.20156310420616.7984368957937
81312298.89764756239913.1023524376007
82274272.7109857773551.28901422264494
83237247.536595543642-10.5365955436419
84278271.109952789846.89004721015959
85284284.437307658674-0.437307658673831
86277274.4220833394962.577916660504
87317312.4597305930074.54026940699327
88313316.597926811577-3.59792681157728
89318318.709630586872-0.709630586872436
90374360.36858449974713.6314155002528
91413405.8248697102657.17513028973497
92405386.8730198830618.1269801169398
93355353.5646406373531.43535936264703
94306315.946740877588-9.94674087758762
95271279.342602124885-8.34260212488516
96306316.83391044474-10.8339104447402
97315320.372592752745-5.37259275274545
98301311.475546446946-10.4755464469461
99356347.7148140007468.28518599925434
100348346.6559937740841.34400622591573
101355352.2021792990662.79782070093353
102422405.58288763546816.4171123645324
103465446.9653795972118.0346204027903
104467439.12632237637127.8736776236293
105404395.9492591677778.05074083222297
106347351.735857721497-4.73585772149727
107305317.998757011001-12.9987570110009
108336352.790665052809-16.7906650528088
109340359.23714047618-19.2371404761798
110318343.223593245562-25.2235932455625
111362389.947459573452-27.9474595734519
112348374.406789879839-26.4067898798388
113363373.650027638871-10.6500276388714
114435433.3081180437231.6918819562768
115491471.49933393927319.5006660607271
116505470.67927294531334.3207270546869
117404413.504477870091-9.50447787009125
118359354.4830410564344.51695894356573
119310316.066448406359-6.06644840635943
120337349.025200176065-12.0252001760647
121360354.1538562087525.84614379124787
122342339.4130666563962.5869333436035
123406390.77767404240915.2223259575909
124396387.2629846674868.73701533251403
125420407.53409746256112.4659025374395
126472482.867470544425-10.8674705444249
127548531.89171001552216.1082899844782
128559541.90102173974317.0989782602572
129463447.87539022493815.1246097750622
130407406.0943450300010.905654969998579
131362359.3809078701012.61909212989866
132405390.64423675049314.3557632495074
133417416.6123145742680.387685425732002
134391398.878286514511-7.87828651451076
135419457.871953443464-38.8719534434642
136461436.32533337469524.6746666253048
137472463.7475613898488.25243861015167
138535520.84739366095514.1526063390452
139622596.93557876272525.0644212372754
140606610.560492406652-4.56049240665175
141508510.143721671589-2.14372167158945
142461453.7040688180897.29593118191116
143390410.234924183382-20.2349241833817
144432444.833325554045-12.8333255540451







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145453.497721751321428.41526696502478.580176537623
146429.390569251949403.49600160324455.285136900659
147467.036052088741440.301472551842493.77063162564
148503.257406653861475.65579207998530.859021227741
149512.339520167001483.844695250901540.8343450831
150571.887965749639542.474571456701601.301360042577
151652.609534991379622.252994696777682.966075285981
152637.462256917307606.138741269287668.785772565326
153539.754768946301507.441160256023572.068377636579
154490.72498608621457.398842867372524.051129305047
155424.459265263962390.098787394924458.819743133
156469.531518789794434.115513646615504.947523932973

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 453.497721751321 & 428.41526696502 & 478.580176537623 \tabularnewline
146 & 429.390569251949 & 403.49600160324 & 455.285136900659 \tabularnewline
147 & 467.036052088741 & 440.301472551842 & 493.77063162564 \tabularnewline
148 & 503.257406653861 & 475.65579207998 & 530.859021227741 \tabularnewline
149 & 512.339520167001 & 483.844695250901 & 540.8343450831 \tabularnewline
150 & 571.887965749639 & 542.474571456701 & 601.301360042577 \tabularnewline
151 & 652.609534991379 & 622.252994696777 & 682.966075285981 \tabularnewline
152 & 637.462256917307 & 606.138741269287 & 668.785772565326 \tabularnewline
153 & 539.754768946301 & 507.441160256023 & 572.068377636579 \tabularnewline
154 & 490.72498608621 & 457.398842867372 & 524.051129305047 \tabularnewline
155 & 424.459265263962 & 390.098787394924 & 458.819743133 \tabularnewline
156 & 469.531518789794 & 434.115513646615 & 504.947523932973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150001&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]453.497721751321[/C][C]428.41526696502[/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]467.036052088741[/C][C]440.301472551842[/C][C]493.77063162564[/C][/ROW]
[ROW][C]148[/C][C]503.257406653861[/C][C]475.65579207998[/C][C]530.859021227741[/C][/ROW]
[ROW][C]149[/C][C]512.339520167001[/C][C]483.844695250901[/C][C]540.8343450831[/C][/ROW]
[ROW][C]150[/C][C]571.887965749639[/C][C]542.474571456701[/C][C]601.301360042577[/C][/ROW]
[ROW][C]151[/C][C]652.609534991379[/C][C]622.252994696777[/C][C]682.966075285981[/C][/ROW]
[ROW][C]152[/C][C]637.462256917307[/C][C]606.138741269287[/C][C]668.785772565326[/C][/ROW]
[ROW][C]153[/C][C]539.754768946301[/C][C]507.441160256023[/C][C]572.068377636579[/C][/ROW]
[ROW][C]154[/C][C]490.72498608621[/C][C]457.398842867372[/C][C]524.051129305047[/C][/ROW]
[ROW][C]155[/C][C]424.459265263962[/C][C]390.098787394924[/C][C]458.819743133[/C][/ROW]
[ROW][C]156[/C][C]469.531518789794[/C][C]434.115513646615[/C][C]504.947523932973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150001&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150001&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
145453.497721751321428.41526696502478.580176537623
146429.390569251949403.49600160324455.285136900659
147467.036052088741440.301472551842493.77063162564
148503.257406653861475.65579207998530.859021227741
149512.339520167001483.844695250901540.8343450831
150571.887965749639542.474571456701601.301360042577
151652.609534991379622.252994696777682.966075285981
152637.462256917307606.138741269287668.785772565326
153539.754768946301507.441160256023572.068377636579
154490.72498608621457.398842867372524.051129305047
155424.459265263962390.098787394924458.819743133
156469.531518789794434.115513646615504.947523932973



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')