Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 05 Jan 2015 14:48:21 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Jan/05/t1420469537hq1pya8y4qe6yr8.htm/, Retrieved Tue, 14 May 2024 00:18:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271971, Retrieved Tue, 14 May 2024 00:18:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Verkopen Mini Ned...] [2015-01-05 14:48:21] [8f795c08ce5b45f0e59533fe19a9a846] [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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271971&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271971&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271971&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'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.115025757299245
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.115025757299245 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271971&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]0.115025757299245[/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=271971&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271971&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
alpha0.115025757299245
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2200254-54
3165247.788609105841-82.7886091058408
4123238.26578664769-115.26578664769
5162225.007252247846-63.0072522478465
6145217.759795342693-72.7597953426934
7145209.390544782462-64.390544782462
8161201.983973605948-40.9839736059484
9155197.269761004792-42.2697610047919
10173192.407649734358-19.4076497343576
11160190.175270126265-30.1752701262646
1247186.704336828282-139.704336828282
13232170.6347396866261.3652603133802
14143177.693325226032-34.6933252260316
15161173.702699218678-12.7026992186783
16159172.241561621305-13.2415616213053
17243170.7184409679972.2815590320099
18192179.03268203441712.9673179655829
19157180.524257603548-23.5242576035484
20143177.818362057798-34.8183620577977
21221173.8133535941847.1866464058198
22227179.24103333142147.7589666685787
23132184.734544640304-52.734544640304
2441178.668713707222-137.668713707222
25273162.833265656636110.166734343364
26182175.5052777036666.4947222963338
27188176.2523380542511.7476619457497
28162177.603621766056-15.6036217660557
29140175.808803355804-35.8088033558041
30186171.68986863182314.310131368177
31178173.3359023294994.66409767050075
32236173.87239369616662.1276063038337
33202181.01866866045420.9813313395459
34184183.4320621869320.567937813068227
35119183.497389663979-64.4973896639788
3616176.078528574055-160.078528574055
37340157.665374597476182.334625402524
38151178.638552966275-27.6385529662751
39240175.45940748067464.5405925193259
40235182.88323801175252.1167619882485
41174188.878008027434-14.8780080274343
42309187.166653886974121.833346113026
43174201.180626787926-27.1806267879262
44207198.0541546077778.94584539222313
45209199.0831572486999.91684275130072
46171200.223849596185-29.2238495961852
47117196.862354165185-79.8623541651847
4810187.676126397634-177.676126397634
49339167.23879540475171.76120459525
50139186.995758037949-47.9957580379489
51186181.4750096224824.52499037751753
52155181.995500067428-26.9955000674282
53153178.8903222285-25.8903222285005
54222175.91226830744646.0877316925543
55102181.213544547586-79.2135445475862
56107172.101946597643-65.1019465976426
57188164.61354588859423.3864541114062
58162167.303590483302-5.30359048330232
59185166.69354097155518.3064590284446
6024168.79925528477-144.79925528477
61394152.143611289272241.856388710728
62209179.96332555838529.0366744416155
63248183.30329102548364.696708974517
64254190.74507897004663.2549210299543
65202198.021024164423.97897583557989
66258198.47870887318359.5212911268169
67215205.3251904604749.67480953952594
68309206.438042754484102.561957245516
69240218.23530955674221.7646904432577
70258220.73880955736237.2611904426384
71276225.02480620589850.9751937941025
7248230.88826647554-182.88826647554
73455209.851405123045245.148594876955
74345238.049807899612106.950192100388
75311250.35183473925960.6481652607407
76346257.32793587718688.6720641228143
77310267.527507204242.4724927958003
78297272.41293785242324.5870621475767
79300275.24108329571224.758916704288
80274278.088996439532-4.08899643953163
81292277.61865652748114.3813434725194
82304279.27288145138824.7271185486123
83186282.11713698827-96.11713698827
8414271.061190516759-257.061190516759
85321241.49253240532379.5074675946767
86206250.637939076346-44.6379390763461
87160245.503426329812-85.5034263298118
88217235.668329964545-18.668329964545
89204233.520991172861-29.520991172861
90246230.12531680697815.8746831930216
91234231.9513142631412.04868573685872
92175232.186965891492-57.1869658914916
93364225.608991832177138.391008167823
94328241.52752235008786.4724776499134
95158251.47408457731-93.4740845773099
9640240.722157210951-200.722157210951
97556217.633939071023338.366060928977
98193256.554751473741-63.5547514737414
99221249.244318055509-28.244318055509
100278245.99549398177332.0045060182266
101230249.676836523508-19.6768365235081
102253247.4134935011385.58650649886184
103240248.056085641827-8.05608564182691
104252247.1294282900084.87057170999179
105228247.68966948943-19.6896694894303
106306245.42485034543760.5751496545633
107206252.392552807968-46.392552807968
10848247.056214288186-199.056214288186
109557224.159622494567332.840377505433
110279262.44483897689616.5551610231041
111399264.349108910789134.650891089211
112364279.83742962934484.1625703706559
113306289.5182930224816.4817069775202
114471291.414113849153179.585886150847
115293312.07111640391-19.0711164039104
116333309.87744679700923.1225532029914
117316312.5371359898753.46286401012526
118329312.93545454506416.0645454549363
119265314.783291051686-49.7832910516859
12061309.056930297617-248.056930297617
121679280.523994036808398.476005963192
122428326.358998388302101.641001611698
123394338.05033157134255.9496684286584
124352344.485984552997.51401544701025
125387345.3502898701441.6497101298597
126590350.141079319122239.858920680878
127177377.731033315419-200.731033315419
128199354.641794194853-155.641794194853
129203336.738978950177-133.738978950177
130255321.355551616005-66.355551616005
131261313.722954040365-52.7229540403648
132115307.658456324819-192.658456324819

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 200 & 254 & -54 \tabularnewline
3 & 165 & 247.788609105841 & -82.7886091058408 \tabularnewline
4 & 123 & 238.26578664769 & -115.26578664769 \tabularnewline
5 & 162 & 225.007252247846 & -63.0072522478465 \tabularnewline
6 & 145 & 217.759795342693 & -72.7597953426934 \tabularnewline
7 & 145 & 209.390544782462 & -64.390544782462 \tabularnewline
8 & 161 & 201.983973605948 & -40.9839736059484 \tabularnewline
9 & 155 & 197.269761004792 & -42.2697610047919 \tabularnewline
10 & 173 & 192.407649734358 & -19.4076497343576 \tabularnewline
11 & 160 & 190.175270126265 & -30.1752701262646 \tabularnewline
12 & 47 & 186.704336828282 & -139.704336828282 \tabularnewline
13 & 232 & 170.63473968662 & 61.3652603133802 \tabularnewline
14 & 143 & 177.693325226032 & -34.6933252260316 \tabularnewline
15 & 161 & 173.702699218678 & -12.7026992186783 \tabularnewline
16 & 159 & 172.241561621305 & -13.2415616213053 \tabularnewline
17 & 243 & 170.71844096799 & 72.2815590320099 \tabularnewline
18 & 192 & 179.032682034417 & 12.9673179655829 \tabularnewline
19 & 157 & 180.524257603548 & -23.5242576035484 \tabularnewline
20 & 143 & 177.818362057798 & -34.8183620577977 \tabularnewline
21 & 221 & 173.81335359418 & 47.1866464058198 \tabularnewline
22 & 227 & 179.241033331421 & 47.7589666685787 \tabularnewline
23 & 132 & 184.734544640304 & -52.734544640304 \tabularnewline
24 & 41 & 178.668713707222 & -137.668713707222 \tabularnewline
25 & 273 & 162.833265656636 & 110.166734343364 \tabularnewline
26 & 182 & 175.505277703666 & 6.4947222963338 \tabularnewline
27 & 188 & 176.25233805425 & 11.7476619457497 \tabularnewline
28 & 162 & 177.603621766056 & -15.6036217660557 \tabularnewline
29 & 140 & 175.808803355804 & -35.8088033558041 \tabularnewline
30 & 186 & 171.689868631823 & 14.310131368177 \tabularnewline
31 & 178 & 173.335902329499 & 4.66409767050075 \tabularnewline
32 & 236 & 173.872393696166 & 62.1276063038337 \tabularnewline
33 & 202 & 181.018668660454 & 20.9813313395459 \tabularnewline
34 & 184 & 183.432062186932 & 0.567937813068227 \tabularnewline
35 & 119 & 183.497389663979 & -64.4973896639788 \tabularnewline
36 & 16 & 176.078528574055 & -160.078528574055 \tabularnewline
37 & 340 & 157.665374597476 & 182.334625402524 \tabularnewline
38 & 151 & 178.638552966275 & -27.6385529662751 \tabularnewline
39 & 240 & 175.459407480674 & 64.5405925193259 \tabularnewline
40 & 235 & 182.883238011752 & 52.1167619882485 \tabularnewline
41 & 174 & 188.878008027434 & -14.8780080274343 \tabularnewline
42 & 309 & 187.166653886974 & 121.833346113026 \tabularnewline
43 & 174 & 201.180626787926 & -27.1806267879262 \tabularnewline
44 & 207 & 198.054154607777 & 8.94584539222313 \tabularnewline
45 & 209 & 199.083157248699 & 9.91684275130072 \tabularnewline
46 & 171 & 200.223849596185 & -29.2238495961852 \tabularnewline
47 & 117 & 196.862354165185 & -79.8623541651847 \tabularnewline
48 & 10 & 187.676126397634 & -177.676126397634 \tabularnewline
49 & 339 & 167.23879540475 & 171.76120459525 \tabularnewline
50 & 139 & 186.995758037949 & -47.9957580379489 \tabularnewline
51 & 186 & 181.475009622482 & 4.52499037751753 \tabularnewline
52 & 155 & 181.995500067428 & -26.9955000674282 \tabularnewline
53 & 153 & 178.8903222285 & -25.8903222285005 \tabularnewline
54 & 222 & 175.912268307446 & 46.0877316925543 \tabularnewline
55 & 102 & 181.213544547586 & -79.2135445475862 \tabularnewline
56 & 107 & 172.101946597643 & -65.1019465976426 \tabularnewline
57 & 188 & 164.613545888594 & 23.3864541114062 \tabularnewline
58 & 162 & 167.303590483302 & -5.30359048330232 \tabularnewline
59 & 185 & 166.693540971555 & 18.3064590284446 \tabularnewline
60 & 24 & 168.79925528477 & -144.79925528477 \tabularnewline
61 & 394 & 152.143611289272 & 241.856388710728 \tabularnewline
62 & 209 & 179.963325558385 & 29.0366744416155 \tabularnewline
63 & 248 & 183.303291025483 & 64.696708974517 \tabularnewline
64 & 254 & 190.745078970046 & 63.2549210299543 \tabularnewline
65 & 202 & 198.02102416442 & 3.97897583557989 \tabularnewline
66 & 258 & 198.478708873183 & 59.5212911268169 \tabularnewline
67 & 215 & 205.325190460474 & 9.67480953952594 \tabularnewline
68 & 309 & 206.438042754484 & 102.561957245516 \tabularnewline
69 & 240 & 218.235309556742 & 21.7646904432577 \tabularnewline
70 & 258 & 220.738809557362 & 37.2611904426384 \tabularnewline
71 & 276 & 225.024806205898 & 50.9751937941025 \tabularnewline
72 & 48 & 230.88826647554 & -182.88826647554 \tabularnewline
73 & 455 & 209.851405123045 & 245.148594876955 \tabularnewline
74 & 345 & 238.049807899612 & 106.950192100388 \tabularnewline
75 & 311 & 250.351834739259 & 60.6481652607407 \tabularnewline
76 & 346 & 257.327935877186 & 88.6720641228143 \tabularnewline
77 & 310 & 267.5275072042 & 42.4724927958003 \tabularnewline
78 & 297 & 272.412937852423 & 24.5870621475767 \tabularnewline
79 & 300 & 275.241083295712 & 24.758916704288 \tabularnewline
80 & 274 & 278.088996439532 & -4.08899643953163 \tabularnewline
81 & 292 & 277.618656527481 & 14.3813434725194 \tabularnewline
82 & 304 & 279.272881451388 & 24.7271185486123 \tabularnewline
83 & 186 & 282.11713698827 & -96.11713698827 \tabularnewline
84 & 14 & 271.061190516759 & -257.061190516759 \tabularnewline
85 & 321 & 241.492532405323 & 79.5074675946767 \tabularnewline
86 & 206 & 250.637939076346 & -44.6379390763461 \tabularnewline
87 & 160 & 245.503426329812 & -85.5034263298118 \tabularnewline
88 & 217 & 235.668329964545 & -18.668329964545 \tabularnewline
89 & 204 & 233.520991172861 & -29.520991172861 \tabularnewline
90 & 246 & 230.125316806978 & 15.8746831930216 \tabularnewline
91 & 234 & 231.951314263141 & 2.04868573685872 \tabularnewline
92 & 175 & 232.186965891492 & -57.1869658914916 \tabularnewline
93 & 364 & 225.608991832177 & 138.391008167823 \tabularnewline
94 & 328 & 241.527522350087 & 86.4724776499134 \tabularnewline
95 & 158 & 251.47408457731 & -93.4740845773099 \tabularnewline
96 & 40 & 240.722157210951 & -200.722157210951 \tabularnewline
97 & 556 & 217.633939071023 & 338.366060928977 \tabularnewline
98 & 193 & 256.554751473741 & -63.5547514737414 \tabularnewline
99 & 221 & 249.244318055509 & -28.244318055509 \tabularnewline
100 & 278 & 245.995493981773 & 32.0045060182266 \tabularnewline
101 & 230 & 249.676836523508 & -19.6768365235081 \tabularnewline
102 & 253 & 247.413493501138 & 5.58650649886184 \tabularnewline
103 & 240 & 248.056085641827 & -8.05608564182691 \tabularnewline
104 & 252 & 247.129428290008 & 4.87057170999179 \tabularnewline
105 & 228 & 247.68966948943 & -19.6896694894303 \tabularnewline
106 & 306 & 245.424850345437 & 60.5751496545633 \tabularnewline
107 & 206 & 252.392552807968 & -46.392552807968 \tabularnewline
108 & 48 & 247.056214288186 & -199.056214288186 \tabularnewline
109 & 557 & 224.159622494567 & 332.840377505433 \tabularnewline
110 & 279 & 262.444838976896 & 16.5551610231041 \tabularnewline
111 & 399 & 264.349108910789 & 134.650891089211 \tabularnewline
112 & 364 & 279.837429629344 & 84.1625703706559 \tabularnewline
113 & 306 & 289.51829302248 & 16.4817069775202 \tabularnewline
114 & 471 & 291.414113849153 & 179.585886150847 \tabularnewline
115 & 293 & 312.07111640391 & -19.0711164039104 \tabularnewline
116 & 333 & 309.877446797009 & 23.1225532029914 \tabularnewline
117 & 316 & 312.537135989875 & 3.46286401012526 \tabularnewline
118 & 329 & 312.935454545064 & 16.0645454549363 \tabularnewline
119 & 265 & 314.783291051686 & -49.7832910516859 \tabularnewline
120 & 61 & 309.056930297617 & -248.056930297617 \tabularnewline
121 & 679 & 280.523994036808 & 398.476005963192 \tabularnewline
122 & 428 & 326.358998388302 & 101.641001611698 \tabularnewline
123 & 394 & 338.050331571342 & 55.9496684286584 \tabularnewline
124 & 352 & 344.48598455299 & 7.51401544701025 \tabularnewline
125 & 387 & 345.35028987014 & 41.6497101298597 \tabularnewline
126 & 590 & 350.141079319122 & 239.858920680878 \tabularnewline
127 & 177 & 377.731033315419 & -200.731033315419 \tabularnewline
128 & 199 & 354.641794194853 & -155.641794194853 \tabularnewline
129 & 203 & 336.738978950177 & -133.738978950177 \tabularnewline
130 & 255 & 321.355551616005 & -66.355551616005 \tabularnewline
131 & 261 & 313.722954040365 & -52.7229540403648 \tabularnewline
132 & 115 & 307.658456324819 & -192.658456324819 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271971&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]247.788609105841[/C][C]-82.7886091058408[/C][/ROW]
[ROW][C]4[/C][C]123[/C][C]238.26578664769[/C][C]-115.26578664769[/C][/ROW]
[ROW][C]5[/C][C]162[/C][C]225.007252247846[/C][C]-63.0072522478465[/C][/ROW]
[ROW][C]6[/C][C]145[/C][C]217.759795342693[/C][C]-72.7597953426934[/C][/ROW]
[ROW][C]7[/C][C]145[/C][C]209.390544782462[/C][C]-64.390544782462[/C][/ROW]
[ROW][C]8[/C][C]161[/C][C]201.983973605948[/C][C]-40.9839736059484[/C][/ROW]
[ROW][C]9[/C][C]155[/C][C]197.269761004792[/C][C]-42.2697610047919[/C][/ROW]
[ROW][C]10[/C][C]173[/C][C]192.407649734358[/C][C]-19.4076497343576[/C][/ROW]
[ROW][C]11[/C][C]160[/C][C]190.175270126265[/C][C]-30.1752701262646[/C][/ROW]
[ROW][C]12[/C][C]47[/C][C]186.704336828282[/C][C]-139.704336828282[/C][/ROW]
[ROW][C]13[/C][C]232[/C][C]170.63473968662[/C][C]61.3652603133802[/C][/ROW]
[ROW][C]14[/C][C]143[/C][C]177.693325226032[/C][C]-34.6933252260316[/C][/ROW]
[ROW][C]15[/C][C]161[/C][C]173.702699218678[/C][C]-12.7026992186783[/C][/ROW]
[ROW][C]16[/C][C]159[/C][C]172.241561621305[/C][C]-13.2415616213053[/C][/ROW]
[ROW][C]17[/C][C]243[/C][C]170.71844096799[/C][C]72.2815590320099[/C][/ROW]
[ROW][C]18[/C][C]192[/C][C]179.032682034417[/C][C]12.9673179655829[/C][/ROW]
[ROW][C]19[/C][C]157[/C][C]180.524257603548[/C][C]-23.5242576035484[/C][/ROW]
[ROW][C]20[/C][C]143[/C][C]177.818362057798[/C][C]-34.8183620577977[/C][/ROW]
[ROW][C]21[/C][C]221[/C][C]173.81335359418[/C][C]47.1866464058198[/C][/ROW]
[ROW][C]22[/C][C]227[/C][C]179.241033331421[/C][C]47.7589666685787[/C][/ROW]
[ROW][C]23[/C][C]132[/C][C]184.734544640304[/C][C]-52.734544640304[/C][/ROW]
[ROW][C]24[/C][C]41[/C][C]178.668713707222[/C][C]-137.668713707222[/C][/ROW]
[ROW][C]25[/C][C]273[/C][C]162.833265656636[/C][C]110.166734343364[/C][/ROW]
[ROW][C]26[/C][C]182[/C][C]175.505277703666[/C][C]6.4947222963338[/C][/ROW]
[ROW][C]27[/C][C]188[/C][C]176.25233805425[/C][C]11.7476619457497[/C][/ROW]
[ROW][C]28[/C][C]162[/C][C]177.603621766056[/C][C]-15.6036217660557[/C][/ROW]
[ROW][C]29[/C][C]140[/C][C]175.808803355804[/C][C]-35.8088033558041[/C][/ROW]
[ROW][C]30[/C][C]186[/C][C]171.689868631823[/C][C]14.310131368177[/C][/ROW]
[ROW][C]31[/C][C]178[/C][C]173.335902329499[/C][C]4.66409767050075[/C][/ROW]
[ROW][C]32[/C][C]236[/C][C]173.872393696166[/C][C]62.1276063038337[/C][/ROW]
[ROW][C]33[/C][C]202[/C][C]181.018668660454[/C][C]20.9813313395459[/C][/ROW]
[ROW][C]34[/C][C]184[/C][C]183.432062186932[/C][C]0.567937813068227[/C][/ROW]
[ROW][C]35[/C][C]119[/C][C]183.497389663979[/C][C]-64.4973896639788[/C][/ROW]
[ROW][C]36[/C][C]16[/C][C]176.078528574055[/C][C]-160.078528574055[/C][/ROW]
[ROW][C]37[/C][C]340[/C][C]157.665374597476[/C][C]182.334625402524[/C][/ROW]
[ROW][C]38[/C][C]151[/C][C]178.638552966275[/C][C]-27.6385529662751[/C][/ROW]
[ROW][C]39[/C][C]240[/C][C]175.459407480674[/C][C]64.5405925193259[/C][/ROW]
[ROW][C]40[/C][C]235[/C][C]182.883238011752[/C][C]52.1167619882485[/C][/ROW]
[ROW][C]41[/C][C]174[/C][C]188.878008027434[/C][C]-14.8780080274343[/C][/ROW]
[ROW][C]42[/C][C]309[/C][C]187.166653886974[/C][C]121.833346113026[/C][/ROW]
[ROW][C]43[/C][C]174[/C][C]201.180626787926[/C][C]-27.1806267879262[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]198.054154607777[/C][C]8.94584539222313[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]199.083157248699[/C][C]9.91684275130072[/C][/ROW]
[ROW][C]46[/C][C]171[/C][C]200.223849596185[/C][C]-29.2238495961852[/C][/ROW]
[ROW][C]47[/C][C]117[/C][C]196.862354165185[/C][C]-79.8623541651847[/C][/ROW]
[ROW][C]48[/C][C]10[/C][C]187.676126397634[/C][C]-177.676126397634[/C][/ROW]
[ROW][C]49[/C][C]339[/C][C]167.23879540475[/C][C]171.76120459525[/C][/ROW]
[ROW][C]50[/C][C]139[/C][C]186.995758037949[/C][C]-47.9957580379489[/C][/ROW]
[ROW][C]51[/C][C]186[/C][C]181.475009622482[/C][C]4.52499037751753[/C][/ROW]
[ROW][C]52[/C][C]155[/C][C]181.995500067428[/C][C]-26.9955000674282[/C][/ROW]
[ROW][C]53[/C][C]153[/C][C]178.8903222285[/C][C]-25.8903222285005[/C][/ROW]
[ROW][C]54[/C][C]222[/C][C]175.912268307446[/C][C]46.0877316925543[/C][/ROW]
[ROW][C]55[/C][C]102[/C][C]181.213544547586[/C][C]-79.2135445475862[/C][/ROW]
[ROW][C]56[/C][C]107[/C][C]172.101946597643[/C][C]-65.1019465976426[/C][/ROW]
[ROW][C]57[/C][C]188[/C][C]164.613545888594[/C][C]23.3864541114062[/C][/ROW]
[ROW][C]58[/C][C]162[/C][C]167.303590483302[/C][C]-5.30359048330232[/C][/ROW]
[ROW][C]59[/C][C]185[/C][C]166.693540971555[/C][C]18.3064590284446[/C][/ROW]
[ROW][C]60[/C][C]24[/C][C]168.79925528477[/C][C]-144.79925528477[/C][/ROW]
[ROW][C]61[/C][C]394[/C][C]152.143611289272[/C][C]241.856388710728[/C][/ROW]
[ROW][C]62[/C][C]209[/C][C]179.963325558385[/C][C]29.0366744416155[/C][/ROW]
[ROW][C]63[/C][C]248[/C][C]183.303291025483[/C][C]64.696708974517[/C][/ROW]
[ROW][C]64[/C][C]254[/C][C]190.745078970046[/C][C]63.2549210299543[/C][/ROW]
[ROW][C]65[/C][C]202[/C][C]198.02102416442[/C][C]3.97897583557989[/C][/ROW]
[ROW][C]66[/C][C]258[/C][C]198.478708873183[/C][C]59.5212911268169[/C][/ROW]
[ROW][C]67[/C][C]215[/C][C]205.325190460474[/C][C]9.67480953952594[/C][/ROW]
[ROW][C]68[/C][C]309[/C][C]206.438042754484[/C][C]102.561957245516[/C][/ROW]
[ROW][C]69[/C][C]240[/C][C]218.235309556742[/C][C]21.7646904432577[/C][/ROW]
[ROW][C]70[/C][C]258[/C][C]220.738809557362[/C][C]37.2611904426384[/C][/ROW]
[ROW][C]71[/C][C]276[/C][C]225.024806205898[/C][C]50.9751937941025[/C][/ROW]
[ROW][C]72[/C][C]48[/C][C]230.88826647554[/C][C]-182.88826647554[/C][/ROW]
[ROW][C]73[/C][C]455[/C][C]209.851405123045[/C][C]245.148594876955[/C][/ROW]
[ROW][C]74[/C][C]345[/C][C]238.049807899612[/C][C]106.950192100388[/C][/ROW]
[ROW][C]75[/C][C]311[/C][C]250.351834739259[/C][C]60.6481652607407[/C][/ROW]
[ROW][C]76[/C][C]346[/C][C]257.327935877186[/C][C]88.6720641228143[/C][/ROW]
[ROW][C]77[/C][C]310[/C][C]267.5275072042[/C][C]42.4724927958003[/C][/ROW]
[ROW][C]78[/C][C]297[/C][C]272.412937852423[/C][C]24.5870621475767[/C][/ROW]
[ROW][C]79[/C][C]300[/C][C]275.241083295712[/C][C]24.758916704288[/C][/ROW]
[ROW][C]80[/C][C]274[/C][C]278.088996439532[/C][C]-4.08899643953163[/C][/ROW]
[ROW][C]81[/C][C]292[/C][C]277.618656527481[/C][C]14.3813434725194[/C][/ROW]
[ROW][C]82[/C][C]304[/C][C]279.272881451388[/C][C]24.7271185486123[/C][/ROW]
[ROW][C]83[/C][C]186[/C][C]282.11713698827[/C][C]-96.11713698827[/C][/ROW]
[ROW][C]84[/C][C]14[/C][C]271.061190516759[/C][C]-257.061190516759[/C][/ROW]
[ROW][C]85[/C][C]321[/C][C]241.492532405323[/C][C]79.5074675946767[/C][/ROW]
[ROW][C]86[/C][C]206[/C][C]250.637939076346[/C][C]-44.6379390763461[/C][/ROW]
[ROW][C]87[/C][C]160[/C][C]245.503426329812[/C][C]-85.5034263298118[/C][/ROW]
[ROW][C]88[/C][C]217[/C][C]235.668329964545[/C][C]-18.668329964545[/C][/ROW]
[ROW][C]89[/C][C]204[/C][C]233.520991172861[/C][C]-29.520991172861[/C][/ROW]
[ROW][C]90[/C][C]246[/C][C]230.125316806978[/C][C]15.8746831930216[/C][/ROW]
[ROW][C]91[/C][C]234[/C][C]231.951314263141[/C][C]2.04868573685872[/C][/ROW]
[ROW][C]92[/C][C]175[/C][C]232.186965891492[/C][C]-57.1869658914916[/C][/ROW]
[ROW][C]93[/C][C]364[/C][C]225.608991832177[/C][C]138.391008167823[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]241.527522350087[/C][C]86.4724776499134[/C][/ROW]
[ROW][C]95[/C][C]158[/C][C]251.47408457731[/C][C]-93.4740845773099[/C][/ROW]
[ROW][C]96[/C][C]40[/C][C]240.722157210951[/C][C]-200.722157210951[/C][/ROW]
[ROW][C]97[/C][C]556[/C][C]217.633939071023[/C][C]338.366060928977[/C][/ROW]
[ROW][C]98[/C][C]193[/C][C]256.554751473741[/C][C]-63.5547514737414[/C][/ROW]
[ROW][C]99[/C][C]221[/C][C]249.244318055509[/C][C]-28.244318055509[/C][/ROW]
[ROW][C]100[/C][C]278[/C][C]245.995493981773[/C][C]32.0045060182266[/C][/ROW]
[ROW][C]101[/C][C]230[/C][C]249.676836523508[/C][C]-19.6768365235081[/C][/ROW]
[ROW][C]102[/C][C]253[/C][C]247.413493501138[/C][C]5.58650649886184[/C][/ROW]
[ROW][C]103[/C][C]240[/C][C]248.056085641827[/C][C]-8.05608564182691[/C][/ROW]
[ROW][C]104[/C][C]252[/C][C]247.129428290008[/C][C]4.87057170999179[/C][/ROW]
[ROW][C]105[/C][C]228[/C][C]247.68966948943[/C][C]-19.6896694894303[/C][/ROW]
[ROW][C]106[/C][C]306[/C][C]245.424850345437[/C][C]60.5751496545633[/C][/ROW]
[ROW][C]107[/C][C]206[/C][C]252.392552807968[/C][C]-46.392552807968[/C][/ROW]
[ROW][C]108[/C][C]48[/C][C]247.056214288186[/C][C]-199.056214288186[/C][/ROW]
[ROW][C]109[/C][C]557[/C][C]224.159622494567[/C][C]332.840377505433[/C][/ROW]
[ROW][C]110[/C][C]279[/C][C]262.444838976896[/C][C]16.5551610231041[/C][/ROW]
[ROW][C]111[/C][C]399[/C][C]264.349108910789[/C][C]134.650891089211[/C][/ROW]
[ROW][C]112[/C][C]364[/C][C]279.837429629344[/C][C]84.1625703706559[/C][/ROW]
[ROW][C]113[/C][C]306[/C][C]289.51829302248[/C][C]16.4817069775202[/C][/ROW]
[ROW][C]114[/C][C]471[/C][C]291.414113849153[/C][C]179.585886150847[/C][/ROW]
[ROW][C]115[/C][C]293[/C][C]312.07111640391[/C][C]-19.0711164039104[/C][/ROW]
[ROW][C]116[/C][C]333[/C][C]309.877446797009[/C][C]23.1225532029914[/C][/ROW]
[ROW][C]117[/C][C]316[/C][C]312.537135989875[/C][C]3.46286401012526[/C][/ROW]
[ROW][C]118[/C][C]329[/C][C]312.935454545064[/C][C]16.0645454549363[/C][/ROW]
[ROW][C]119[/C][C]265[/C][C]314.783291051686[/C][C]-49.7832910516859[/C][/ROW]
[ROW][C]120[/C][C]61[/C][C]309.056930297617[/C][C]-248.056930297617[/C][/ROW]
[ROW][C]121[/C][C]679[/C][C]280.523994036808[/C][C]398.476005963192[/C][/ROW]
[ROW][C]122[/C][C]428[/C][C]326.358998388302[/C][C]101.641001611698[/C][/ROW]
[ROW][C]123[/C][C]394[/C][C]338.050331571342[/C][C]55.9496684286584[/C][/ROW]
[ROW][C]124[/C][C]352[/C][C]344.48598455299[/C][C]7.51401544701025[/C][/ROW]
[ROW][C]125[/C][C]387[/C][C]345.35028987014[/C][C]41.6497101298597[/C][/ROW]
[ROW][C]126[/C][C]590[/C][C]350.141079319122[/C][C]239.858920680878[/C][/ROW]
[ROW][C]127[/C][C]177[/C][C]377.731033315419[/C][C]-200.731033315419[/C][/ROW]
[ROW][C]128[/C][C]199[/C][C]354.641794194853[/C][C]-155.641794194853[/C][/ROW]
[ROW][C]129[/C][C]203[/C][C]336.738978950177[/C][C]-133.738978950177[/C][/ROW]
[ROW][C]130[/C][C]255[/C][C]321.355551616005[/C][C]-66.355551616005[/C][/ROW]
[ROW][C]131[/C][C]261[/C][C]313.722954040365[/C][C]-52.7229540403648[/C][/ROW]
[ROW][C]132[/C][C]115[/C][C]307.658456324819[/C][C]-192.658456324819[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271971&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271971&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
3165247.788609105841-82.7886091058408
4123238.26578664769-115.26578664769
5162225.007252247846-63.0072522478465
6145217.759795342693-72.7597953426934
7145209.390544782462-64.390544782462
8161201.983973605948-40.9839736059484
9155197.269761004792-42.2697610047919
10173192.407649734358-19.4076497343576
11160190.175270126265-30.1752701262646
1247186.704336828282-139.704336828282
13232170.6347396866261.3652603133802
14143177.693325226032-34.6933252260316
15161173.702699218678-12.7026992186783
16159172.241561621305-13.2415616213053
17243170.7184409679972.2815590320099
18192179.03268203441712.9673179655829
19157180.524257603548-23.5242576035484
20143177.818362057798-34.8183620577977
21221173.8133535941847.1866464058198
22227179.24103333142147.7589666685787
23132184.734544640304-52.734544640304
2441178.668713707222-137.668713707222
25273162.833265656636110.166734343364
26182175.5052777036666.4947222963338
27188176.2523380542511.7476619457497
28162177.603621766056-15.6036217660557
29140175.808803355804-35.8088033558041
30186171.68986863182314.310131368177
31178173.3359023294994.66409767050075
32236173.87239369616662.1276063038337
33202181.01866866045420.9813313395459
34184183.4320621869320.567937813068227
35119183.497389663979-64.4973896639788
3616176.078528574055-160.078528574055
37340157.665374597476182.334625402524
38151178.638552966275-27.6385529662751
39240175.45940748067464.5405925193259
40235182.88323801175252.1167619882485
41174188.878008027434-14.8780080274343
42309187.166653886974121.833346113026
43174201.180626787926-27.1806267879262
44207198.0541546077778.94584539222313
45209199.0831572486999.91684275130072
46171200.223849596185-29.2238495961852
47117196.862354165185-79.8623541651847
4810187.676126397634-177.676126397634
49339167.23879540475171.76120459525
50139186.995758037949-47.9957580379489
51186181.4750096224824.52499037751753
52155181.995500067428-26.9955000674282
53153178.8903222285-25.8903222285005
54222175.91226830744646.0877316925543
55102181.213544547586-79.2135445475862
56107172.101946597643-65.1019465976426
57188164.61354588859423.3864541114062
58162167.303590483302-5.30359048330232
59185166.69354097155518.3064590284446
6024168.79925528477-144.79925528477
61394152.143611289272241.856388710728
62209179.96332555838529.0366744416155
63248183.30329102548364.696708974517
64254190.74507897004663.2549210299543
65202198.021024164423.97897583557989
66258198.47870887318359.5212911268169
67215205.3251904604749.67480953952594
68309206.438042754484102.561957245516
69240218.23530955674221.7646904432577
70258220.73880955736237.2611904426384
71276225.02480620589850.9751937941025
7248230.88826647554-182.88826647554
73455209.851405123045245.148594876955
74345238.049807899612106.950192100388
75311250.35183473925960.6481652607407
76346257.32793587718688.6720641228143
77310267.527507204242.4724927958003
78297272.41293785242324.5870621475767
79300275.24108329571224.758916704288
80274278.088996439532-4.08899643953163
81292277.61865652748114.3813434725194
82304279.27288145138824.7271185486123
83186282.11713698827-96.11713698827
8414271.061190516759-257.061190516759
85321241.49253240532379.5074675946767
86206250.637939076346-44.6379390763461
87160245.503426329812-85.5034263298118
88217235.668329964545-18.668329964545
89204233.520991172861-29.520991172861
90246230.12531680697815.8746831930216
91234231.9513142631412.04868573685872
92175232.186965891492-57.1869658914916
93364225.608991832177138.391008167823
94328241.52752235008786.4724776499134
95158251.47408457731-93.4740845773099
9640240.722157210951-200.722157210951
97556217.633939071023338.366060928977
98193256.554751473741-63.5547514737414
99221249.244318055509-28.244318055509
100278245.99549398177332.0045060182266
101230249.676836523508-19.6768365235081
102253247.4134935011385.58650649886184
103240248.056085641827-8.05608564182691
104252247.1294282900084.87057170999179
105228247.68966948943-19.6896694894303
106306245.42485034543760.5751496545633
107206252.392552807968-46.392552807968
10848247.056214288186-199.056214288186
109557224.159622494567332.840377505433
110279262.44483897689616.5551610231041
111399264.349108910789134.650891089211
112364279.83742962934484.1625703706559
113306289.5182930224816.4817069775202
114471291.414113849153179.585886150847
115293312.07111640391-19.0711164039104
116333309.87744679700923.1225532029914
117316312.5371359898753.46286401012526
118329312.93545454506416.0645454549363
119265314.783291051686-49.7832910516859
12061309.056930297617-248.056930297617
121679280.523994036808398.476005963192
122428326.358998388302101.641001611698
123394338.05033157134255.9496684286584
124352344.485984552997.51401544701025
125387345.3502898701441.6497101298597
126590350.141079319122239.858920680878
127177377.731033315419-200.731033315419
128199354.641794194853-155.641794194853
129203336.738978950177-133.738978950177
130255321.355551616005-66.355551616005
131261313.722954040365-52.7229540403648
132115307.658456324819-192.658456324819







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133285.49777148595378.6982117171464492.297331254759
134285.49777148595377.3346325330653493.66091043884
135285.49777148595375.9799275755445495.015615396361
136285.49777148595374.6339258058238496.361617166082
137285.49777148595373.2964616097877497.699081362118
138285.49777148595371.9673745601116499.028168411794
139285.49777148595370.6465091916522500.349033780253
140285.49777148595369.3337147891898501.661828182716
141285.49777148595368.0288451867033502.966697785202
142285.49777148595366.731758577422504.263784394483
143285.49777148595365.4423173339539505.553225637952
144285.49777148595364.1603878378453506.83515513406

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 285.497771485953 & 78.6982117171464 & 492.297331254759 \tabularnewline
134 & 285.497771485953 & 77.3346325330653 & 493.66091043884 \tabularnewline
135 & 285.497771485953 & 75.9799275755445 & 495.015615396361 \tabularnewline
136 & 285.497771485953 & 74.6339258058238 & 496.361617166082 \tabularnewline
137 & 285.497771485953 & 73.2964616097877 & 497.699081362118 \tabularnewline
138 & 285.497771485953 & 71.9673745601116 & 499.028168411794 \tabularnewline
139 & 285.497771485953 & 70.6465091916522 & 500.349033780253 \tabularnewline
140 & 285.497771485953 & 69.3337147891898 & 501.661828182716 \tabularnewline
141 & 285.497771485953 & 68.0288451867033 & 502.966697785202 \tabularnewline
142 & 285.497771485953 & 66.731758577422 & 504.263784394483 \tabularnewline
143 & 285.497771485953 & 65.4423173339539 & 505.553225637952 \tabularnewline
144 & 285.497771485953 & 64.1603878378453 & 506.83515513406 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271971&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]285.497771485953[/C][C]78.6982117171464[/C][C]492.297331254759[/C][/ROW]
[ROW][C]134[/C][C]285.497771485953[/C][C]77.3346325330653[/C][C]493.66091043884[/C][/ROW]
[ROW][C]135[/C][C]285.497771485953[/C][C]75.9799275755445[/C][C]495.015615396361[/C][/ROW]
[ROW][C]136[/C][C]285.497771485953[/C][C]74.6339258058238[/C][C]496.361617166082[/C][/ROW]
[ROW][C]137[/C][C]285.497771485953[/C][C]73.2964616097877[/C][C]497.699081362118[/C][/ROW]
[ROW][C]138[/C][C]285.497771485953[/C][C]71.9673745601116[/C][C]499.028168411794[/C][/ROW]
[ROW][C]139[/C][C]285.497771485953[/C][C]70.6465091916522[/C][C]500.349033780253[/C][/ROW]
[ROW][C]140[/C][C]285.497771485953[/C][C]69.3337147891898[/C][C]501.661828182716[/C][/ROW]
[ROW][C]141[/C][C]285.497771485953[/C][C]68.0288451867033[/C][C]502.966697785202[/C][/ROW]
[ROW][C]142[/C][C]285.497771485953[/C][C]66.731758577422[/C][C]504.263784394483[/C][/ROW]
[ROW][C]143[/C][C]285.497771485953[/C][C]65.4423173339539[/C][C]505.553225637952[/C][/ROW]
[ROW][C]144[/C][C]285.497771485953[/C][C]64.1603878378453[/C][C]506.83515513406[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271971&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271971&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
133285.49777148595378.6982117171464492.297331254759
134285.49777148595377.3346325330653493.66091043884
135285.49777148595375.9799275755445495.015615396361
136285.49777148595374.6339258058238496.361617166082
137285.49777148595373.2964616097877497.699081362118
138285.49777148595371.9673745601116499.028168411794
139285.49777148595370.6465091916522500.349033780253
140285.49777148595369.3337147891898501.661828182716
141285.49777148595368.0288451867033502.966697785202
142285.49777148595366.731758577422504.263784394483
143285.49777148595365.4423173339539505.553225637952
144285.49777148595364.1603878378453506.83515513406



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