Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 11 May 2014 16:29:18 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/May/11/t13998403752oqev2u0y30kww3.htm/, Retrieved Mon, 13 May 2024 22:04:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234800, Retrieved Mon, 13 May 2024 22:04:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-05-11 20:29:18] [76c30f62b7052b57088120e90a652e05] [Current]
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Dataseries X:
254
200
165
123
162
145
145
161
155
173
160
47
232
143
161
159
243
192
157
143
221
227
132
41
273
182
188
162
140
186
178
236
202
184
119
16
340
151
240
235
174
309
174
207
209
171
117
10
339
139
186
155
153
222
102
107
188
162
185
24
394
209
248
254
202
258
215
309
240
258
276
48
455
345
311
346
310
297
300
274
292
304
186
14
321
206
160
217
204
246
234
175
364
328
158
40
556
193
221
278
230
253
240
252
228
306
206
48
557
279
399
364
306
471
293
333
316
329
265
61
679
428
394
352
387
590
177
199
203
255
261
115




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234800&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234800&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234800&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.115025757299311
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.115025757299311 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234800&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]0.115025757299311[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234800&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234800&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
alpha0.115025757299311
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2200254-54
3165247.788609105837-82.7886091058372
4123238.265786647682-115.265786647682
5162225.007252247831-63.0072522478314
6145217.759795342676-72.7597953426759
7145209.390544782442-64.3905447824417
8161201.983973605926-40.9839736059262
9155197.26976100477-42.2697610047696
10173192.407649734335-19.4076497343351
11160190.175270126243-30.1752701262434
1247186.704336828261-139.704336828261
13232170.63473968659261.3652603134077
14143177.693325226011-34.6933252260114
15161173.702699218658-12.7026992186582
16159172.241561621287-13.2415616212866
17243170.71844096797372.2815590320273
18192179.03268203440612.9673179655936
19157180.52425760354-23.5242576035398
20143177.818362057789-34.8183620577886
21221173.8133535941747.1866464058301
22227179.24103333141547.7589666685847
23132184.734544640302-52.7345446403017
2441178.668713707217-137.668713707217
25273162.833265656622110.166734343378
26182175.5052777036616.49472229633884
27188176.25233805424611.7476619457537
28162177.603621766053-15.6036217660529
29140175.808803355801-35.8088033558006
30186171.68986863181814.3101313681824
31178173.3359023294954.66409767050462
32236173.87239369616362.1276063038369
33202181.01866866045520.9813313395446
34184183.4320621869340.567937813065754
35119183.497389663981-64.497389663981
3616176.078528574053-160.078528574053
37340157.665374597463182.334625402537
38151178.638552966276-27.638552966276
39240175.45940748067364.540592519327
40235182.88323801175552.1167619882452
41174188.878008027441-14.8780080274406
42309187.166653886979121.833346113021
43174201.180626787938-27.1806267879383
44207198.0541546077868.94584539221421
45209199.0831572487089.91684275129222
46171200.223849596193-29.2238495961933
47117196.86235416519-79.8623541651901
4810187.676126397633-177.676126397633
49339167.238795404738171.761204595262
50139186.995758037949-47.9957580379494
51186181.475009622484.5249903775202
52155181.995500067426-26.9955000674261
53153178.890322228497-25.8903222284969
54222175.91226830744146.0877316925591
55102181.213544547585-79.2135445475849
56107172.101946597636-65.1019465976363
57188164.61354588858423.3864541114161
58162167.303590483295-5.30359048329512
59185166.69354097154918.3064590284513
6024168.799255284765-144.799255284765
61394152.143611289259241.856388710741
62209179.96332555838829.0366744416118
63248183.30329102548864.6967089745118
64254190.74507897005463.2549210299455
65202198.0210241644323.97897583556795
66258198.47870887319459.5212911268061
67215205.3251904604889.67480953951249
68309206.438042754497102.561957245503
69240218.2353095567621.7646904432399
70258220.73880955737937.2611904426212
71276225.02480620591550.9751937940848
7248230.888266475559-182.888266475559
73455209.85140512305245.14859487695
74345238.049807899633106.950192100367
75311250.35183473928460.6481652607158
76346257.32793587721288.6720641227882
77310267.52750720422942.4724927957715
78297272.41293785245224.5870621475484
79300275.24108329573924.7589167042614
80274278.088996439557-4.08899643955687
81292277.61865652750314.3813434724973
82304279.27288145140824.7271185485918
83186282.11713698829-96.1171369882898
8414271.06119051677-257.06119051677
85321241.49253240531679.5074675946836
86206250.637939076345-44.6379390763452
87160245.503426329808-85.5034263298081
88217235.668329964536-18.6683299645361
89204233.520991172852-29.520991172852
90246230.12531680696815.8746831930316
91234231.9513142631332.0486857368665
92175232.186965891485-57.1869658914849
93364225.608991832167138.391008167833
94328241.52752235008786.4724776499129
95158251.474084577316-93.474084577316
9640240.72215721095-200.72215721095
97556217.63393907101338.36606092899
98193256.554751473751-63.5547514737514
99221249.244318055514-28.2443180555136
100278245.99549398177632.0045060182244
101230249.676836523512-19.6768365235122
102253247.413493501145.58650649885951
103240248.056085641829-8.05608564182933
104252247.129428290014.8705717099902
105228247.689669489432-19.689669489432
106306245.42485034543760.575149654563
107206252.392552807972-46.3925528079722
10848247.056214288187-199.056214288187
109557224.159622494554332.840377505446
110279262.44483897690716.5551610230934
111399264.3491089108134.6508910892
112364279.83742962936284.1625703706378
113306289.51829302250116.4817069774987
114471291.414113849173179.585886150827
115293312.07111640394-19.07111640394
116333309.87744679703423.1225532029665
117316312.5371359898983.46286401010167
118329312.93545454508516.0645454549152
119265314.783291051706-49.7832910517056
12061309.056930297631-248.056930297631
121679280.523994036804398.476005963196
122428326.358998388325101.641001611675
123394338.05033157136855.9496684286316
124352344.4859845530177.51401544698291
125387345.35028987016541.649710129835
126590350.141079319146239.858920680854
127177377.731033315457-200.731033315457
128199354.641794194873-155.641794194873
129203336.738978950184-133.738978950184
130255321.355551616003-66.3555516160029
131261313.722954040359-52.7229540403586
132115307.65845632481-192.65845632481

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 200 & 254 & -54 \tabularnewline
3 & 165 & 247.788609105837 & -82.7886091058372 \tabularnewline
4 & 123 & 238.265786647682 & -115.265786647682 \tabularnewline
5 & 162 & 225.007252247831 & -63.0072522478314 \tabularnewline
6 & 145 & 217.759795342676 & -72.7597953426759 \tabularnewline
7 & 145 & 209.390544782442 & -64.3905447824417 \tabularnewline
8 & 161 & 201.983973605926 & -40.9839736059262 \tabularnewline
9 & 155 & 197.26976100477 & -42.2697610047696 \tabularnewline
10 & 173 & 192.407649734335 & -19.4076497343351 \tabularnewline
11 & 160 & 190.175270126243 & -30.1752701262434 \tabularnewline
12 & 47 & 186.704336828261 & -139.704336828261 \tabularnewline
13 & 232 & 170.634739686592 & 61.3652603134077 \tabularnewline
14 & 143 & 177.693325226011 & -34.6933252260114 \tabularnewline
15 & 161 & 173.702699218658 & -12.7026992186582 \tabularnewline
16 & 159 & 172.241561621287 & -13.2415616212866 \tabularnewline
17 & 243 & 170.718440967973 & 72.2815590320273 \tabularnewline
18 & 192 & 179.032682034406 & 12.9673179655936 \tabularnewline
19 & 157 & 180.52425760354 & -23.5242576035398 \tabularnewline
20 & 143 & 177.818362057789 & -34.8183620577886 \tabularnewline
21 & 221 & 173.81335359417 & 47.1866464058301 \tabularnewline
22 & 227 & 179.241033331415 & 47.7589666685847 \tabularnewline
23 & 132 & 184.734544640302 & -52.7345446403017 \tabularnewline
24 & 41 & 178.668713707217 & -137.668713707217 \tabularnewline
25 & 273 & 162.833265656622 & 110.166734343378 \tabularnewline
26 & 182 & 175.505277703661 & 6.49472229633884 \tabularnewline
27 & 188 & 176.252338054246 & 11.7476619457537 \tabularnewline
28 & 162 & 177.603621766053 & -15.6036217660529 \tabularnewline
29 & 140 & 175.808803355801 & -35.8088033558006 \tabularnewline
30 & 186 & 171.689868631818 & 14.3101313681824 \tabularnewline
31 & 178 & 173.335902329495 & 4.66409767050462 \tabularnewline
32 & 236 & 173.872393696163 & 62.1276063038369 \tabularnewline
33 & 202 & 181.018668660455 & 20.9813313395446 \tabularnewline
34 & 184 & 183.432062186934 & 0.567937813065754 \tabularnewline
35 & 119 & 183.497389663981 & -64.497389663981 \tabularnewline
36 & 16 & 176.078528574053 & -160.078528574053 \tabularnewline
37 & 340 & 157.665374597463 & 182.334625402537 \tabularnewline
38 & 151 & 178.638552966276 & -27.638552966276 \tabularnewline
39 & 240 & 175.459407480673 & 64.540592519327 \tabularnewline
40 & 235 & 182.883238011755 & 52.1167619882452 \tabularnewline
41 & 174 & 188.878008027441 & -14.8780080274406 \tabularnewline
42 & 309 & 187.166653886979 & 121.833346113021 \tabularnewline
43 & 174 & 201.180626787938 & -27.1806267879383 \tabularnewline
44 & 207 & 198.054154607786 & 8.94584539221421 \tabularnewline
45 & 209 & 199.083157248708 & 9.91684275129222 \tabularnewline
46 & 171 & 200.223849596193 & -29.2238495961933 \tabularnewline
47 & 117 & 196.86235416519 & -79.8623541651901 \tabularnewline
48 & 10 & 187.676126397633 & -177.676126397633 \tabularnewline
49 & 339 & 167.238795404738 & 171.761204595262 \tabularnewline
50 & 139 & 186.995758037949 & -47.9957580379494 \tabularnewline
51 & 186 & 181.47500962248 & 4.5249903775202 \tabularnewline
52 & 155 & 181.995500067426 & -26.9955000674261 \tabularnewline
53 & 153 & 178.890322228497 & -25.8903222284969 \tabularnewline
54 & 222 & 175.912268307441 & 46.0877316925591 \tabularnewline
55 & 102 & 181.213544547585 & -79.2135445475849 \tabularnewline
56 & 107 & 172.101946597636 & -65.1019465976363 \tabularnewline
57 & 188 & 164.613545888584 & 23.3864541114161 \tabularnewline
58 & 162 & 167.303590483295 & -5.30359048329512 \tabularnewline
59 & 185 & 166.693540971549 & 18.3064590284513 \tabularnewline
60 & 24 & 168.799255284765 & -144.799255284765 \tabularnewline
61 & 394 & 152.143611289259 & 241.856388710741 \tabularnewline
62 & 209 & 179.963325558388 & 29.0366744416118 \tabularnewline
63 & 248 & 183.303291025488 & 64.6967089745118 \tabularnewline
64 & 254 & 190.745078970054 & 63.2549210299455 \tabularnewline
65 & 202 & 198.021024164432 & 3.97897583556795 \tabularnewline
66 & 258 & 198.478708873194 & 59.5212911268061 \tabularnewline
67 & 215 & 205.325190460488 & 9.67480953951249 \tabularnewline
68 & 309 & 206.438042754497 & 102.561957245503 \tabularnewline
69 & 240 & 218.23530955676 & 21.7646904432399 \tabularnewline
70 & 258 & 220.738809557379 & 37.2611904426212 \tabularnewline
71 & 276 & 225.024806205915 & 50.9751937940848 \tabularnewline
72 & 48 & 230.888266475559 & -182.888266475559 \tabularnewline
73 & 455 & 209.85140512305 & 245.14859487695 \tabularnewline
74 & 345 & 238.049807899633 & 106.950192100367 \tabularnewline
75 & 311 & 250.351834739284 & 60.6481652607158 \tabularnewline
76 & 346 & 257.327935877212 & 88.6720641227882 \tabularnewline
77 & 310 & 267.527507204229 & 42.4724927957715 \tabularnewline
78 & 297 & 272.412937852452 & 24.5870621475484 \tabularnewline
79 & 300 & 275.241083295739 & 24.7589167042614 \tabularnewline
80 & 274 & 278.088996439557 & -4.08899643955687 \tabularnewline
81 & 292 & 277.618656527503 & 14.3813434724973 \tabularnewline
82 & 304 & 279.272881451408 & 24.7271185485918 \tabularnewline
83 & 186 & 282.11713698829 & -96.1171369882898 \tabularnewline
84 & 14 & 271.06119051677 & -257.06119051677 \tabularnewline
85 & 321 & 241.492532405316 & 79.5074675946836 \tabularnewline
86 & 206 & 250.637939076345 & -44.6379390763452 \tabularnewline
87 & 160 & 245.503426329808 & -85.5034263298081 \tabularnewline
88 & 217 & 235.668329964536 & -18.6683299645361 \tabularnewline
89 & 204 & 233.520991172852 & -29.520991172852 \tabularnewline
90 & 246 & 230.125316806968 & 15.8746831930316 \tabularnewline
91 & 234 & 231.951314263133 & 2.0486857368665 \tabularnewline
92 & 175 & 232.186965891485 & -57.1869658914849 \tabularnewline
93 & 364 & 225.608991832167 & 138.391008167833 \tabularnewline
94 & 328 & 241.527522350087 & 86.4724776499129 \tabularnewline
95 & 158 & 251.474084577316 & -93.474084577316 \tabularnewline
96 & 40 & 240.72215721095 & -200.72215721095 \tabularnewline
97 & 556 & 217.63393907101 & 338.36606092899 \tabularnewline
98 & 193 & 256.554751473751 & -63.5547514737514 \tabularnewline
99 & 221 & 249.244318055514 & -28.2443180555136 \tabularnewline
100 & 278 & 245.995493981776 & 32.0045060182244 \tabularnewline
101 & 230 & 249.676836523512 & -19.6768365235122 \tabularnewline
102 & 253 & 247.41349350114 & 5.58650649885951 \tabularnewline
103 & 240 & 248.056085641829 & -8.05608564182933 \tabularnewline
104 & 252 & 247.12942829001 & 4.8705717099902 \tabularnewline
105 & 228 & 247.689669489432 & -19.689669489432 \tabularnewline
106 & 306 & 245.424850345437 & 60.575149654563 \tabularnewline
107 & 206 & 252.392552807972 & -46.3925528079722 \tabularnewline
108 & 48 & 247.056214288187 & -199.056214288187 \tabularnewline
109 & 557 & 224.159622494554 & 332.840377505446 \tabularnewline
110 & 279 & 262.444838976907 & 16.5551610230934 \tabularnewline
111 & 399 & 264.3491089108 & 134.6508910892 \tabularnewline
112 & 364 & 279.837429629362 & 84.1625703706378 \tabularnewline
113 & 306 & 289.518293022501 & 16.4817069774987 \tabularnewline
114 & 471 & 291.414113849173 & 179.585886150827 \tabularnewline
115 & 293 & 312.07111640394 & -19.07111640394 \tabularnewline
116 & 333 & 309.877446797034 & 23.1225532029665 \tabularnewline
117 & 316 & 312.537135989898 & 3.46286401010167 \tabularnewline
118 & 329 & 312.935454545085 & 16.0645454549152 \tabularnewline
119 & 265 & 314.783291051706 & -49.7832910517056 \tabularnewline
120 & 61 & 309.056930297631 & -248.056930297631 \tabularnewline
121 & 679 & 280.523994036804 & 398.476005963196 \tabularnewline
122 & 428 & 326.358998388325 & 101.641001611675 \tabularnewline
123 & 394 & 338.050331571368 & 55.9496684286316 \tabularnewline
124 & 352 & 344.485984553017 & 7.51401544698291 \tabularnewline
125 & 387 & 345.350289870165 & 41.649710129835 \tabularnewline
126 & 590 & 350.141079319146 & 239.858920680854 \tabularnewline
127 & 177 & 377.731033315457 & -200.731033315457 \tabularnewline
128 & 199 & 354.641794194873 & -155.641794194873 \tabularnewline
129 & 203 & 336.738978950184 & -133.738978950184 \tabularnewline
130 & 255 & 321.355551616003 & -66.3555516160029 \tabularnewline
131 & 261 & 313.722954040359 & -52.7229540403586 \tabularnewline
132 & 115 & 307.65845632481 & -192.65845632481 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234800&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]2[/C][C]200[/C][C]254[/C][C]-54[/C][/ROW]
[ROW][C]3[/C][C]165[/C][C]247.788609105837[/C][C]-82.7886091058372[/C][/ROW]
[ROW][C]4[/C][C]123[/C][C]238.265786647682[/C][C]-115.265786647682[/C][/ROW]
[ROW][C]5[/C][C]162[/C][C]225.007252247831[/C][C]-63.0072522478314[/C][/ROW]
[ROW][C]6[/C][C]145[/C][C]217.759795342676[/C][C]-72.7597953426759[/C][/ROW]
[ROW][C]7[/C][C]145[/C][C]209.390544782442[/C][C]-64.3905447824417[/C][/ROW]
[ROW][C]8[/C][C]161[/C][C]201.983973605926[/C][C]-40.9839736059262[/C][/ROW]
[ROW][C]9[/C][C]155[/C][C]197.26976100477[/C][C]-42.2697610047696[/C][/ROW]
[ROW][C]10[/C][C]173[/C][C]192.407649734335[/C][C]-19.4076497343351[/C][/ROW]
[ROW][C]11[/C][C]160[/C][C]190.175270126243[/C][C]-30.1752701262434[/C][/ROW]
[ROW][C]12[/C][C]47[/C][C]186.704336828261[/C][C]-139.704336828261[/C][/ROW]
[ROW][C]13[/C][C]232[/C][C]170.634739686592[/C][C]61.3652603134077[/C][/ROW]
[ROW][C]14[/C][C]143[/C][C]177.693325226011[/C][C]-34.6933252260114[/C][/ROW]
[ROW][C]15[/C][C]161[/C][C]173.702699218658[/C][C]-12.7026992186582[/C][/ROW]
[ROW][C]16[/C][C]159[/C][C]172.241561621287[/C][C]-13.2415616212866[/C][/ROW]
[ROW][C]17[/C][C]243[/C][C]170.718440967973[/C][C]72.2815590320273[/C][/ROW]
[ROW][C]18[/C][C]192[/C][C]179.032682034406[/C][C]12.9673179655936[/C][/ROW]
[ROW][C]19[/C][C]157[/C][C]180.52425760354[/C][C]-23.5242576035398[/C][/ROW]
[ROW][C]20[/C][C]143[/C][C]177.818362057789[/C][C]-34.8183620577886[/C][/ROW]
[ROW][C]21[/C][C]221[/C][C]173.81335359417[/C][C]47.1866464058301[/C][/ROW]
[ROW][C]22[/C][C]227[/C][C]179.241033331415[/C][C]47.7589666685847[/C][/ROW]
[ROW][C]23[/C][C]132[/C][C]184.734544640302[/C][C]-52.7345446403017[/C][/ROW]
[ROW][C]24[/C][C]41[/C][C]178.668713707217[/C][C]-137.668713707217[/C][/ROW]
[ROW][C]25[/C][C]273[/C][C]162.833265656622[/C][C]110.166734343378[/C][/ROW]
[ROW][C]26[/C][C]182[/C][C]175.505277703661[/C][C]6.49472229633884[/C][/ROW]
[ROW][C]27[/C][C]188[/C][C]176.252338054246[/C][C]11.7476619457537[/C][/ROW]
[ROW][C]28[/C][C]162[/C][C]177.603621766053[/C][C]-15.6036217660529[/C][/ROW]
[ROW][C]29[/C][C]140[/C][C]175.808803355801[/C][C]-35.8088033558006[/C][/ROW]
[ROW][C]30[/C][C]186[/C][C]171.689868631818[/C][C]14.3101313681824[/C][/ROW]
[ROW][C]31[/C][C]178[/C][C]173.335902329495[/C][C]4.66409767050462[/C][/ROW]
[ROW][C]32[/C][C]236[/C][C]173.872393696163[/C][C]62.1276063038369[/C][/ROW]
[ROW][C]33[/C][C]202[/C][C]181.018668660455[/C][C]20.9813313395446[/C][/ROW]
[ROW][C]34[/C][C]184[/C][C]183.432062186934[/C][C]0.567937813065754[/C][/ROW]
[ROW][C]35[/C][C]119[/C][C]183.497389663981[/C][C]-64.497389663981[/C][/ROW]
[ROW][C]36[/C][C]16[/C][C]176.078528574053[/C][C]-160.078528574053[/C][/ROW]
[ROW][C]37[/C][C]340[/C][C]157.665374597463[/C][C]182.334625402537[/C][/ROW]
[ROW][C]38[/C][C]151[/C][C]178.638552966276[/C][C]-27.638552966276[/C][/ROW]
[ROW][C]39[/C][C]240[/C][C]175.459407480673[/C][C]64.540592519327[/C][/ROW]
[ROW][C]40[/C][C]235[/C][C]182.883238011755[/C][C]52.1167619882452[/C][/ROW]
[ROW][C]41[/C][C]174[/C][C]188.878008027441[/C][C]-14.8780080274406[/C][/ROW]
[ROW][C]42[/C][C]309[/C][C]187.166653886979[/C][C]121.833346113021[/C][/ROW]
[ROW][C]43[/C][C]174[/C][C]201.180626787938[/C][C]-27.1806267879383[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]198.054154607786[/C][C]8.94584539221421[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]199.083157248708[/C][C]9.91684275129222[/C][/ROW]
[ROW][C]46[/C][C]171[/C][C]200.223849596193[/C][C]-29.2238495961933[/C][/ROW]
[ROW][C]47[/C][C]117[/C][C]196.86235416519[/C][C]-79.8623541651901[/C][/ROW]
[ROW][C]48[/C][C]10[/C][C]187.676126397633[/C][C]-177.676126397633[/C][/ROW]
[ROW][C]49[/C][C]339[/C][C]167.238795404738[/C][C]171.761204595262[/C][/ROW]
[ROW][C]50[/C][C]139[/C][C]186.995758037949[/C][C]-47.9957580379494[/C][/ROW]
[ROW][C]51[/C][C]186[/C][C]181.47500962248[/C][C]4.5249903775202[/C][/ROW]
[ROW][C]52[/C][C]155[/C][C]181.995500067426[/C][C]-26.9955000674261[/C][/ROW]
[ROW][C]53[/C][C]153[/C][C]178.890322228497[/C][C]-25.8903222284969[/C][/ROW]
[ROW][C]54[/C][C]222[/C][C]175.912268307441[/C][C]46.0877316925591[/C][/ROW]
[ROW][C]55[/C][C]102[/C][C]181.213544547585[/C][C]-79.2135445475849[/C][/ROW]
[ROW][C]56[/C][C]107[/C][C]172.101946597636[/C][C]-65.1019465976363[/C][/ROW]
[ROW][C]57[/C][C]188[/C][C]164.613545888584[/C][C]23.3864541114161[/C][/ROW]
[ROW][C]58[/C][C]162[/C][C]167.303590483295[/C][C]-5.30359048329512[/C][/ROW]
[ROW][C]59[/C][C]185[/C][C]166.693540971549[/C][C]18.3064590284513[/C][/ROW]
[ROW][C]60[/C][C]24[/C][C]168.799255284765[/C][C]-144.799255284765[/C][/ROW]
[ROW][C]61[/C][C]394[/C][C]152.143611289259[/C][C]241.856388710741[/C][/ROW]
[ROW][C]62[/C][C]209[/C][C]179.963325558388[/C][C]29.0366744416118[/C][/ROW]
[ROW][C]63[/C][C]248[/C][C]183.303291025488[/C][C]64.6967089745118[/C][/ROW]
[ROW][C]64[/C][C]254[/C][C]190.745078970054[/C][C]63.2549210299455[/C][/ROW]
[ROW][C]65[/C][C]202[/C][C]198.021024164432[/C][C]3.97897583556795[/C][/ROW]
[ROW][C]66[/C][C]258[/C][C]198.478708873194[/C][C]59.5212911268061[/C][/ROW]
[ROW][C]67[/C][C]215[/C][C]205.325190460488[/C][C]9.67480953951249[/C][/ROW]
[ROW][C]68[/C][C]309[/C][C]206.438042754497[/C][C]102.561957245503[/C][/ROW]
[ROW][C]69[/C][C]240[/C][C]218.23530955676[/C][C]21.7646904432399[/C][/ROW]
[ROW][C]70[/C][C]258[/C][C]220.738809557379[/C][C]37.2611904426212[/C][/ROW]
[ROW][C]71[/C][C]276[/C][C]225.024806205915[/C][C]50.9751937940848[/C][/ROW]
[ROW][C]72[/C][C]48[/C][C]230.888266475559[/C][C]-182.888266475559[/C][/ROW]
[ROW][C]73[/C][C]455[/C][C]209.85140512305[/C][C]245.14859487695[/C][/ROW]
[ROW][C]74[/C][C]345[/C][C]238.049807899633[/C][C]106.950192100367[/C][/ROW]
[ROW][C]75[/C][C]311[/C][C]250.351834739284[/C][C]60.6481652607158[/C][/ROW]
[ROW][C]76[/C][C]346[/C][C]257.327935877212[/C][C]88.6720641227882[/C][/ROW]
[ROW][C]77[/C][C]310[/C][C]267.527507204229[/C][C]42.4724927957715[/C][/ROW]
[ROW][C]78[/C][C]297[/C][C]272.412937852452[/C][C]24.5870621475484[/C][/ROW]
[ROW][C]79[/C][C]300[/C][C]275.241083295739[/C][C]24.7589167042614[/C][/ROW]
[ROW][C]80[/C][C]274[/C][C]278.088996439557[/C][C]-4.08899643955687[/C][/ROW]
[ROW][C]81[/C][C]292[/C][C]277.618656527503[/C][C]14.3813434724973[/C][/ROW]
[ROW][C]82[/C][C]304[/C][C]279.272881451408[/C][C]24.7271185485918[/C][/ROW]
[ROW][C]83[/C][C]186[/C][C]282.11713698829[/C][C]-96.1171369882898[/C][/ROW]
[ROW][C]84[/C][C]14[/C][C]271.06119051677[/C][C]-257.06119051677[/C][/ROW]
[ROW][C]85[/C][C]321[/C][C]241.492532405316[/C][C]79.5074675946836[/C][/ROW]
[ROW][C]86[/C][C]206[/C][C]250.637939076345[/C][C]-44.6379390763452[/C][/ROW]
[ROW][C]87[/C][C]160[/C][C]245.503426329808[/C][C]-85.5034263298081[/C][/ROW]
[ROW][C]88[/C][C]217[/C][C]235.668329964536[/C][C]-18.6683299645361[/C][/ROW]
[ROW][C]89[/C][C]204[/C][C]233.520991172852[/C][C]-29.520991172852[/C][/ROW]
[ROW][C]90[/C][C]246[/C][C]230.125316806968[/C][C]15.8746831930316[/C][/ROW]
[ROW][C]91[/C][C]234[/C][C]231.951314263133[/C][C]2.0486857368665[/C][/ROW]
[ROW][C]92[/C][C]175[/C][C]232.186965891485[/C][C]-57.1869658914849[/C][/ROW]
[ROW][C]93[/C][C]364[/C][C]225.608991832167[/C][C]138.391008167833[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]241.527522350087[/C][C]86.4724776499129[/C][/ROW]
[ROW][C]95[/C][C]158[/C][C]251.474084577316[/C][C]-93.474084577316[/C][/ROW]
[ROW][C]96[/C][C]40[/C][C]240.72215721095[/C][C]-200.72215721095[/C][/ROW]
[ROW][C]97[/C][C]556[/C][C]217.63393907101[/C][C]338.36606092899[/C][/ROW]
[ROW][C]98[/C][C]193[/C][C]256.554751473751[/C][C]-63.5547514737514[/C][/ROW]
[ROW][C]99[/C][C]221[/C][C]249.244318055514[/C][C]-28.2443180555136[/C][/ROW]
[ROW][C]100[/C][C]278[/C][C]245.995493981776[/C][C]32.0045060182244[/C][/ROW]
[ROW][C]101[/C][C]230[/C][C]249.676836523512[/C][C]-19.6768365235122[/C][/ROW]
[ROW][C]102[/C][C]253[/C][C]247.41349350114[/C][C]5.58650649885951[/C][/ROW]
[ROW][C]103[/C][C]240[/C][C]248.056085641829[/C][C]-8.05608564182933[/C][/ROW]
[ROW][C]104[/C][C]252[/C][C]247.12942829001[/C][C]4.8705717099902[/C][/ROW]
[ROW][C]105[/C][C]228[/C][C]247.689669489432[/C][C]-19.689669489432[/C][/ROW]
[ROW][C]106[/C][C]306[/C][C]245.424850345437[/C][C]60.575149654563[/C][/ROW]
[ROW][C]107[/C][C]206[/C][C]252.392552807972[/C][C]-46.3925528079722[/C][/ROW]
[ROW][C]108[/C][C]48[/C][C]247.056214288187[/C][C]-199.056214288187[/C][/ROW]
[ROW][C]109[/C][C]557[/C][C]224.159622494554[/C][C]332.840377505446[/C][/ROW]
[ROW][C]110[/C][C]279[/C][C]262.444838976907[/C][C]16.5551610230934[/C][/ROW]
[ROW][C]111[/C][C]399[/C][C]264.3491089108[/C][C]134.6508910892[/C][/ROW]
[ROW][C]112[/C][C]364[/C][C]279.837429629362[/C][C]84.1625703706378[/C][/ROW]
[ROW][C]113[/C][C]306[/C][C]289.518293022501[/C][C]16.4817069774987[/C][/ROW]
[ROW][C]114[/C][C]471[/C][C]291.414113849173[/C][C]179.585886150827[/C][/ROW]
[ROW][C]115[/C][C]293[/C][C]312.07111640394[/C][C]-19.07111640394[/C][/ROW]
[ROW][C]116[/C][C]333[/C][C]309.877446797034[/C][C]23.1225532029665[/C][/ROW]
[ROW][C]117[/C][C]316[/C][C]312.537135989898[/C][C]3.46286401010167[/C][/ROW]
[ROW][C]118[/C][C]329[/C][C]312.935454545085[/C][C]16.0645454549152[/C][/ROW]
[ROW][C]119[/C][C]265[/C][C]314.783291051706[/C][C]-49.7832910517056[/C][/ROW]
[ROW][C]120[/C][C]61[/C][C]309.056930297631[/C][C]-248.056930297631[/C][/ROW]
[ROW][C]121[/C][C]679[/C][C]280.523994036804[/C][C]398.476005963196[/C][/ROW]
[ROW][C]122[/C][C]428[/C][C]326.358998388325[/C][C]101.641001611675[/C][/ROW]
[ROW][C]123[/C][C]394[/C][C]338.050331571368[/C][C]55.9496684286316[/C][/ROW]
[ROW][C]124[/C][C]352[/C][C]344.485984553017[/C][C]7.51401544698291[/C][/ROW]
[ROW][C]125[/C][C]387[/C][C]345.350289870165[/C][C]41.649710129835[/C][/ROW]
[ROW][C]126[/C][C]590[/C][C]350.141079319146[/C][C]239.858920680854[/C][/ROW]
[ROW][C]127[/C][C]177[/C][C]377.731033315457[/C][C]-200.731033315457[/C][/ROW]
[ROW][C]128[/C][C]199[/C][C]354.641794194873[/C][C]-155.641794194873[/C][/ROW]
[ROW][C]129[/C][C]203[/C][C]336.738978950184[/C][C]-133.738978950184[/C][/ROW]
[ROW][C]130[/C][C]255[/C][C]321.355551616003[/C][C]-66.3555516160029[/C][/ROW]
[ROW][C]131[/C][C]261[/C][C]313.722954040359[/C][C]-52.7229540403586[/C][/ROW]
[ROW][C]132[/C][C]115[/C][C]307.65845632481[/C][C]-192.65845632481[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234800&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234800&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
2200254-54
3165247.788609105837-82.7886091058372
4123238.265786647682-115.265786647682
5162225.007252247831-63.0072522478314
6145217.759795342676-72.7597953426759
7145209.390544782442-64.3905447824417
8161201.983973605926-40.9839736059262
9155197.26976100477-42.2697610047696
10173192.407649734335-19.4076497343351
11160190.175270126243-30.1752701262434
1247186.704336828261-139.704336828261
13232170.63473968659261.3652603134077
14143177.693325226011-34.6933252260114
15161173.702699218658-12.7026992186582
16159172.241561621287-13.2415616212866
17243170.71844096797372.2815590320273
18192179.03268203440612.9673179655936
19157180.52425760354-23.5242576035398
20143177.818362057789-34.8183620577886
21221173.8133535941747.1866464058301
22227179.24103333141547.7589666685847
23132184.734544640302-52.7345446403017
2441178.668713707217-137.668713707217
25273162.833265656622110.166734343378
26182175.5052777036616.49472229633884
27188176.25233805424611.7476619457537
28162177.603621766053-15.6036217660529
29140175.808803355801-35.8088033558006
30186171.68986863181814.3101313681824
31178173.3359023294954.66409767050462
32236173.87239369616362.1276063038369
33202181.01866866045520.9813313395446
34184183.4320621869340.567937813065754
35119183.497389663981-64.497389663981
3616176.078528574053-160.078528574053
37340157.665374597463182.334625402537
38151178.638552966276-27.638552966276
39240175.45940748067364.540592519327
40235182.88323801175552.1167619882452
41174188.878008027441-14.8780080274406
42309187.166653886979121.833346113021
43174201.180626787938-27.1806267879383
44207198.0541546077868.94584539221421
45209199.0831572487089.91684275129222
46171200.223849596193-29.2238495961933
47117196.86235416519-79.8623541651901
4810187.676126397633-177.676126397633
49339167.238795404738171.761204595262
50139186.995758037949-47.9957580379494
51186181.475009622484.5249903775202
52155181.995500067426-26.9955000674261
53153178.890322228497-25.8903222284969
54222175.91226830744146.0877316925591
55102181.213544547585-79.2135445475849
56107172.101946597636-65.1019465976363
57188164.61354588858423.3864541114161
58162167.303590483295-5.30359048329512
59185166.69354097154918.3064590284513
6024168.799255284765-144.799255284765
61394152.143611289259241.856388710741
62209179.96332555838829.0366744416118
63248183.30329102548864.6967089745118
64254190.74507897005463.2549210299455
65202198.0210241644323.97897583556795
66258198.47870887319459.5212911268061
67215205.3251904604889.67480953951249
68309206.438042754497102.561957245503
69240218.2353095567621.7646904432399
70258220.73880955737937.2611904426212
71276225.02480620591550.9751937940848
7248230.888266475559-182.888266475559
73455209.85140512305245.14859487695
74345238.049807899633106.950192100367
75311250.35183473928460.6481652607158
76346257.32793587721288.6720641227882
77310267.52750720422942.4724927957715
78297272.41293785245224.5870621475484
79300275.24108329573924.7589167042614
80274278.088996439557-4.08899643955687
81292277.61865652750314.3813434724973
82304279.27288145140824.7271185485918
83186282.11713698829-96.1171369882898
8414271.06119051677-257.06119051677
85321241.49253240531679.5074675946836
86206250.637939076345-44.6379390763452
87160245.503426329808-85.5034263298081
88217235.668329964536-18.6683299645361
89204233.520991172852-29.520991172852
90246230.12531680696815.8746831930316
91234231.9513142631332.0486857368665
92175232.186965891485-57.1869658914849
93364225.608991832167138.391008167833
94328241.52752235008786.4724776499129
95158251.474084577316-93.474084577316
9640240.72215721095-200.72215721095
97556217.63393907101338.36606092899
98193256.554751473751-63.5547514737514
99221249.244318055514-28.2443180555136
100278245.99549398177632.0045060182244
101230249.676836523512-19.6768365235122
102253247.413493501145.58650649885951
103240248.056085641829-8.05608564182933
104252247.129428290014.8705717099902
105228247.689669489432-19.689669489432
106306245.42485034543760.575149654563
107206252.392552807972-46.3925528079722
10848247.056214288187-199.056214288187
109557224.159622494554332.840377505446
110279262.44483897690716.5551610230934
111399264.3491089108134.6508910892
112364279.83742962936284.1625703706378
113306289.51829302250116.4817069774987
114471291.414113849173179.585886150827
115293312.07111640394-19.07111640394
116333309.87744679703423.1225532029665
117316312.5371359898983.46286401010167
118329312.93545454508516.0645454549152
119265314.783291051706-49.7832910517056
12061309.056930297631-248.056930297631
121679280.523994036804398.476005963196
122428326.358998388325101.641001611675
123394338.05033157136855.9496684286316
124352344.4859845530177.51401544698291
125387345.35028987016541.649710129835
126590350.141079319146239.858920680854
127177377.731033315457-200.731033315457
128199354.641794194873-155.641794194873
129203336.738978950184-133.738978950184
130255321.355551616003-66.3555516160029
131261313.722954040359-52.7229540403586
132115307.65845632481-192.65845632481







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133285.49777148593278.6982117171258492.297331254739
134285.49777148593277.3346325330431493.660910438821
135285.49777148593275.9799275755208495.015615396344
136285.49777148593274.6339258057986496.361617166066
137285.49777148593273.2964616097609497.699081362103
138285.49777148593271.9673745600834499.028168411781
139285.49777148593270.6465091916226500.349033780242
140285.49777148593269.3337147891587501.661828182706
141285.49777148593268.0288451866708502.966697785194
142285.49777148593266.7317585773882504.263784394476
143285.49777148593265.4423173339187505.553225637946
144285.49777148593264.1603878378087506.835155134056

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 285.497771485932 & 78.6982117171258 & 492.297331254739 \tabularnewline
134 & 285.497771485932 & 77.3346325330431 & 493.660910438821 \tabularnewline
135 & 285.497771485932 & 75.9799275755208 & 495.015615396344 \tabularnewline
136 & 285.497771485932 & 74.6339258057986 & 496.361617166066 \tabularnewline
137 & 285.497771485932 & 73.2964616097609 & 497.699081362103 \tabularnewline
138 & 285.497771485932 & 71.9673745600834 & 499.028168411781 \tabularnewline
139 & 285.497771485932 & 70.6465091916226 & 500.349033780242 \tabularnewline
140 & 285.497771485932 & 69.3337147891587 & 501.661828182706 \tabularnewline
141 & 285.497771485932 & 68.0288451866708 & 502.966697785194 \tabularnewline
142 & 285.497771485932 & 66.7317585773882 & 504.263784394476 \tabularnewline
143 & 285.497771485932 & 65.4423173339187 & 505.553225637946 \tabularnewline
144 & 285.497771485932 & 64.1603878378087 & 506.835155134056 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234800&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]133[/C][C]285.497771485932[/C][C]78.6982117171258[/C][C]492.297331254739[/C][/ROW]
[ROW][C]134[/C][C]285.497771485932[/C][C]77.3346325330431[/C][C]493.660910438821[/C][/ROW]
[ROW][C]135[/C][C]285.497771485932[/C][C]75.9799275755208[/C][C]495.015615396344[/C][/ROW]
[ROW][C]136[/C][C]285.497771485932[/C][C]74.6339258057986[/C][C]496.361617166066[/C][/ROW]
[ROW][C]137[/C][C]285.497771485932[/C][C]73.2964616097609[/C][C]497.699081362103[/C][/ROW]
[ROW][C]138[/C][C]285.497771485932[/C][C]71.9673745600834[/C][C]499.028168411781[/C][/ROW]
[ROW][C]139[/C][C]285.497771485932[/C][C]70.6465091916226[/C][C]500.349033780242[/C][/ROW]
[ROW][C]140[/C][C]285.497771485932[/C][C]69.3337147891587[/C][C]501.661828182706[/C][/ROW]
[ROW][C]141[/C][C]285.497771485932[/C][C]68.0288451866708[/C][C]502.966697785194[/C][/ROW]
[ROW][C]142[/C][C]285.497771485932[/C][C]66.7317585773882[/C][C]504.263784394476[/C][/ROW]
[ROW][C]143[/C][C]285.497771485932[/C][C]65.4423173339187[/C][C]505.553225637946[/C][/ROW]
[ROW][C]144[/C][C]285.497771485932[/C][C]64.1603878378087[/C][C]506.835155134056[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234800&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234800&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
133285.49777148593278.6982117171258492.297331254739
134285.49777148593277.3346325330431493.660910438821
135285.49777148593275.9799275755208495.015615396344
136285.49777148593274.6339258057986496.361617166066
137285.49777148593273.2964616097609497.699081362103
138285.49777148593271.9673745600834499.028168411781
139285.49777148593270.6465091916226500.349033780242
140285.49777148593269.3337147891587501.661828182706
141285.49777148593268.0288451866708502.966697785194
142285.49777148593266.7317585773882504.263784394476
143285.49777148593265.4423173339187505.553225637946
144285.49777148593264.1603878378087506.835155134056



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; 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')