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 14:49:54 +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/t1420469585pqjgk4bx7fqisqm.htm/, Retrieved Tue, 14 May 2024 11:20:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271972, Retrieved Tue, 14 May 2024 11:20:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-01-05 14:49:54] [229d99e8f34a98f85c8272b25a5711b7] [Current]
Feedback Forum

Post a new message
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 time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271972&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]1 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=271972&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271972&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.228387939872536
beta0.261235441366081
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.228387939872536 \tabularnewline
beta & 0.261235441366081 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271972&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]0.228387939872536[/C][/ROW]
[ROW][C]beta[/C][C]0.261235441366081[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271972&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271972&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
alpha0.228387939872536
beta0.261235441366081
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
316514619
412397.472968318808725.5270316811913
516251.9596518676386110.040348132361
614532.3134976144295112.68650238557
714519.9949106070238125.005089392976
816117.9479219913683143.052078008632
915528.5575675294053126.442432470595
1017342.9177082589171130.082291741083
1116065.870251878575594.1297481214245
124786.2277335749583-39.2277335749583
1323273.7875295395674158.212470460433
14143115.87972141756727.1202785824328
15161129.65011549859231.3498845014081
16159146.25692948195912.7430705180409
17243159.37446167773383.6255383222667
18192193.670047191352-1.67004719135161
19157208.385509583174-51.3855095831745
20143208.680745033859-65.6807450338592
21221201.79240922459519.2075907754051
22227215.43752850471911.5624714952808
23132228.026446759882-96.0264467598815
2441210.314125397528-169.314125397528
25273165.761989319339107.238010680661
26182190.769169901871-8.76916990187132
27188188.758514304008-0.758514304008315
28162188.532140577836-26.5321405778364
29140180.836393696569-40.8363936965694
30186167.43730516566618.5626948343341
31178168.7117586071579.28824139284259
32236168.42220330539967.5777966946011
33202185.47717517975616.522824820244
34184191.857608905825-7.85760890582506
35119192.201036889104-73.2010368891043
3616173.253418730182-157.253418730182
37340125.727035702124214.272964297876
38151175.836970972583-24.8369709725826
39240169.85523192150470.1447680784964
40235189.75122557846345.2487744215367
41174206.66095325977-32.6609532597696
42309203.82838749272105.17161250728
43174238.749973938647-64.7499739386465
44207231.000340049389-24.0003400493888
45209231.125498223677-22.1254982236767
46171230.358773522504-59.3587735225038
47117217.5468938355-100.5468938355
4810189.329212435276-179.329212435276
49339132.419276436873206.580723563127
50139175.971746422241-36.9717464222414
51186161.69392333249424.3060766675062
52155162.861390060338-7.86139006033787
53153156.213161025284-3.21316102528382
54222150.4348245393571.5651754606505
55102166.004753071307-64.0047530713074
56107146.793427780957-39.793427780957
57188130.73748094756157.2625190524388
58162140.26439692811321.7356030718869
59185142.97420557155842.0257944284418
6024152.825435211719-128.825435211719
61394115.970189421362278.029810578638
62209188.62387438120720.3761256187931
63248203.64826630993644.351733690064
64254226.79455653705627.2054434629445
65202247.647999896496-45.6479998964964
66258249.1390976885118.86090231148913
67215263.608039590232-48.6080395902321
68309262.05166559831846.9483344016816
69240285.120294619199-45.1202946191994
70258284.469545897939-26.4695458979391
71276286.499150094743-10.4991500947431
7248291.549789041015-243.549789041015
73455228.843555696574226.156444303426
74345286.90573875744758.0942612425527
75311310.0506253773360.949374622663754
76346320.20095162901725.7990483709826
77310337.565892923819-27.5658929238192
78297341.098260676198-44.0982606761985
79300338.223799419175-38.2237994191746
80274334.410446793863-60.4104467938633
81292321.925661528425-29.9256615284249
82304314.617778096992-10.617778096992
83186311.086093633413-125.086093633413
8414273.948211762839-259.948211762839
85321190.500152097114130.499847902886
86206204.0117359990251.98826400097488
87160188.291449847178-28.2914498471778
88217163.96768877060653.0323112293944
89204161.38136202125242.6186379787477
90246158.95943472398487.0405652760161
91234171.87604324630462.1239567536957
92175182.808502019474-7.80850201947445
93364177.303351757678186.696648242322
94328227.359718714968100.640281285032
95158263.766352855349-105.766352855349
9640246.721860570466-206.721860570466
97556194.286696474293361.713303525707
98193293.256178066101-100.256178066101
99221280.735814687468-59.7358146874678
100278273.9057942619644.09420573803584
101230281.8980533998-51.8980533997996
102253274.005961004503-21.005961004503
103240271.915970788383-31.9159707883828
104252265.430062573816-13.4300625738163
105228262.364834703687-34.3648347036871
106306252.46804738797353.5319526120268
107206265.839704436905-59.8397044369049
10848249.74842455405-201.74842455405
109557189.209983282022367.790016717978
110279280.690717985982-1.69071798598219
111399287.685635520074111.314364479926
112364327.13090266383536.8690973361653
113306351.773490460747-45.7734904607472
114471354.810523012463116.189476987537
115293401.770159621376-108.770159621376
116333390.862171596788-57.8621715967881
117316388.128721931591-72.1287219315909
118329377.83354653879-48.83354653879
119265369.945151190328-104.945151190328
12061342.980196949516-281.980196949516
121679258.758781986773420.241218013227
122428359.98913131354968.0108686864515
123394384.8320509064229.16794909357799
124352396.782944886719-44.7829448867186
125387393.740219408678-6.7402194086784
126590398.983851755503191.016148244497
127177460.789254596997-283.789254596997
128199397.223104457085-198.223104457085
129203341.372641177305-138.372641177305
130255290.935571656812-35.9355716568123
131261261.749868526578-0.749868526578211
132115240.55541622312-125.55541622312

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 165 & 146 & 19 \tabularnewline
4 & 123 & 97.4729683188087 & 25.5270316811913 \tabularnewline
5 & 162 & 51.9596518676386 & 110.040348132361 \tabularnewline
6 & 145 & 32.3134976144295 & 112.68650238557 \tabularnewline
7 & 145 & 19.9949106070238 & 125.005089392976 \tabularnewline
8 & 161 & 17.9479219913683 & 143.052078008632 \tabularnewline
9 & 155 & 28.5575675294053 & 126.442432470595 \tabularnewline
10 & 173 & 42.9177082589171 & 130.082291741083 \tabularnewline
11 & 160 & 65.8702518785755 & 94.1297481214245 \tabularnewline
12 & 47 & 86.2277335749583 & -39.2277335749583 \tabularnewline
13 & 232 & 73.7875295395674 & 158.212470460433 \tabularnewline
14 & 143 & 115.879721417567 & 27.1202785824328 \tabularnewline
15 & 161 & 129.650115498592 & 31.3498845014081 \tabularnewline
16 & 159 & 146.256929481959 & 12.7430705180409 \tabularnewline
17 & 243 & 159.374461677733 & 83.6255383222667 \tabularnewline
18 & 192 & 193.670047191352 & -1.67004719135161 \tabularnewline
19 & 157 & 208.385509583174 & -51.3855095831745 \tabularnewline
20 & 143 & 208.680745033859 & -65.6807450338592 \tabularnewline
21 & 221 & 201.792409224595 & 19.2075907754051 \tabularnewline
22 & 227 & 215.437528504719 & 11.5624714952808 \tabularnewline
23 & 132 & 228.026446759882 & -96.0264467598815 \tabularnewline
24 & 41 & 210.314125397528 & -169.314125397528 \tabularnewline
25 & 273 & 165.761989319339 & 107.238010680661 \tabularnewline
26 & 182 & 190.769169901871 & -8.76916990187132 \tabularnewline
27 & 188 & 188.758514304008 & -0.758514304008315 \tabularnewline
28 & 162 & 188.532140577836 & -26.5321405778364 \tabularnewline
29 & 140 & 180.836393696569 & -40.8363936965694 \tabularnewline
30 & 186 & 167.437305165666 & 18.5626948343341 \tabularnewline
31 & 178 & 168.711758607157 & 9.28824139284259 \tabularnewline
32 & 236 & 168.422203305399 & 67.5777966946011 \tabularnewline
33 & 202 & 185.477175179756 & 16.522824820244 \tabularnewline
34 & 184 & 191.857608905825 & -7.85760890582506 \tabularnewline
35 & 119 & 192.201036889104 & -73.2010368891043 \tabularnewline
36 & 16 & 173.253418730182 & -157.253418730182 \tabularnewline
37 & 340 & 125.727035702124 & 214.272964297876 \tabularnewline
38 & 151 & 175.836970972583 & -24.8369709725826 \tabularnewline
39 & 240 & 169.855231921504 & 70.1447680784964 \tabularnewline
40 & 235 & 189.751225578463 & 45.2487744215367 \tabularnewline
41 & 174 & 206.66095325977 & -32.6609532597696 \tabularnewline
42 & 309 & 203.82838749272 & 105.17161250728 \tabularnewline
43 & 174 & 238.749973938647 & -64.7499739386465 \tabularnewline
44 & 207 & 231.000340049389 & -24.0003400493888 \tabularnewline
45 & 209 & 231.125498223677 & -22.1254982236767 \tabularnewline
46 & 171 & 230.358773522504 & -59.3587735225038 \tabularnewline
47 & 117 & 217.5468938355 & -100.5468938355 \tabularnewline
48 & 10 & 189.329212435276 & -179.329212435276 \tabularnewline
49 & 339 & 132.419276436873 & 206.580723563127 \tabularnewline
50 & 139 & 175.971746422241 & -36.9717464222414 \tabularnewline
51 & 186 & 161.693923332494 & 24.3060766675062 \tabularnewline
52 & 155 & 162.861390060338 & -7.86139006033787 \tabularnewline
53 & 153 & 156.213161025284 & -3.21316102528382 \tabularnewline
54 & 222 & 150.43482453935 & 71.5651754606505 \tabularnewline
55 & 102 & 166.004753071307 & -64.0047530713074 \tabularnewline
56 & 107 & 146.793427780957 & -39.793427780957 \tabularnewline
57 & 188 & 130.737480947561 & 57.2625190524388 \tabularnewline
58 & 162 & 140.264396928113 & 21.7356030718869 \tabularnewline
59 & 185 & 142.974205571558 & 42.0257944284418 \tabularnewline
60 & 24 & 152.825435211719 & -128.825435211719 \tabularnewline
61 & 394 & 115.970189421362 & 278.029810578638 \tabularnewline
62 & 209 & 188.623874381207 & 20.3761256187931 \tabularnewline
63 & 248 & 203.648266309936 & 44.351733690064 \tabularnewline
64 & 254 & 226.794556537056 & 27.2054434629445 \tabularnewline
65 & 202 & 247.647999896496 & -45.6479998964964 \tabularnewline
66 & 258 & 249.139097688511 & 8.86090231148913 \tabularnewline
67 & 215 & 263.608039590232 & -48.6080395902321 \tabularnewline
68 & 309 & 262.051665598318 & 46.9483344016816 \tabularnewline
69 & 240 & 285.120294619199 & -45.1202946191994 \tabularnewline
70 & 258 & 284.469545897939 & -26.4695458979391 \tabularnewline
71 & 276 & 286.499150094743 & -10.4991500947431 \tabularnewline
72 & 48 & 291.549789041015 & -243.549789041015 \tabularnewline
73 & 455 & 228.843555696574 & 226.156444303426 \tabularnewline
74 & 345 & 286.905738757447 & 58.0942612425527 \tabularnewline
75 & 311 & 310.050625377336 & 0.949374622663754 \tabularnewline
76 & 346 & 320.200951629017 & 25.7990483709826 \tabularnewline
77 & 310 & 337.565892923819 & -27.5658929238192 \tabularnewline
78 & 297 & 341.098260676198 & -44.0982606761985 \tabularnewline
79 & 300 & 338.223799419175 & -38.2237994191746 \tabularnewline
80 & 274 & 334.410446793863 & -60.4104467938633 \tabularnewline
81 & 292 & 321.925661528425 & -29.9256615284249 \tabularnewline
82 & 304 & 314.617778096992 & -10.617778096992 \tabularnewline
83 & 186 & 311.086093633413 & -125.086093633413 \tabularnewline
84 & 14 & 273.948211762839 & -259.948211762839 \tabularnewline
85 & 321 & 190.500152097114 & 130.499847902886 \tabularnewline
86 & 206 & 204.011735999025 & 1.98826400097488 \tabularnewline
87 & 160 & 188.291449847178 & -28.2914498471778 \tabularnewline
88 & 217 & 163.967688770606 & 53.0323112293944 \tabularnewline
89 & 204 & 161.381362021252 & 42.6186379787477 \tabularnewline
90 & 246 & 158.959434723984 & 87.0405652760161 \tabularnewline
91 & 234 & 171.876043246304 & 62.1239567536957 \tabularnewline
92 & 175 & 182.808502019474 & -7.80850201947445 \tabularnewline
93 & 364 & 177.303351757678 & 186.696648242322 \tabularnewline
94 & 328 & 227.359718714968 & 100.640281285032 \tabularnewline
95 & 158 & 263.766352855349 & -105.766352855349 \tabularnewline
96 & 40 & 246.721860570466 & -206.721860570466 \tabularnewline
97 & 556 & 194.286696474293 & 361.713303525707 \tabularnewline
98 & 193 & 293.256178066101 & -100.256178066101 \tabularnewline
99 & 221 & 280.735814687468 & -59.7358146874678 \tabularnewline
100 & 278 & 273.905794261964 & 4.09420573803584 \tabularnewline
101 & 230 & 281.8980533998 & -51.8980533997996 \tabularnewline
102 & 253 & 274.005961004503 & -21.005961004503 \tabularnewline
103 & 240 & 271.915970788383 & -31.9159707883828 \tabularnewline
104 & 252 & 265.430062573816 & -13.4300625738163 \tabularnewline
105 & 228 & 262.364834703687 & -34.3648347036871 \tabularnewline
106 & 306 & 252.468047387973 & 53.5319526120268 \tabularnewline
107 & 206 & 265.839704436905 & -59.8397044369049 \tabularnewline
108 & 48 & 249.74842455405 & -201.74842455405 \tabularnewline
109 & 557 & 189.209983282022 & 367.790016717978 \tabularnewline
110 & 279 & 280.690717985982 & -1.69071798598219 \tabularnewline
111 & 399 & 287.685635520074 & 111.314364479926 \tabularnewline
112 & 364 & 327.130902663835 & 36.8690973361653 \tabularnewline
113 & 306 & 351.773490460747 & -45.7734904607472 \tabularnewline
114 & 471 & 354.810523012463 & 116.189476987537 \tabularnewline
115 & 293 & 401.770159621376 & -108.770159621376 \tabularnewline
116 & 333 & 390.862171596788 & -57.8621715967881 \tabularnewline
117 & 316 & 388.128721931591 & -72.1287219315909 \tabularnewline
118 & 329 & 377.83354653879 & -48.83354653879 \tabularnewline
119 & 265 & 369.945151190328 & -104.945151190328 \tabularnewline
120 & 61 & 342.980196949516 & -281.980196949516 \tabularnewline
121 & 679 & 258.758781986773 & 420.241218013227 \tabularnewline
122 & 428 & 359.989131313549 & 68.0108686864515 \tabularnewline
123 & 394 & 384.832050906422 & 9.16794909357799 \tabularnewline
124 & 352 & 396.782944886719 & -44.7829448867186 \tabularnewline
125 & 387 & 393.740219408678 & -6.7402194086784 \tabularnewline
126 & 590 & 398.983851755503 & 191.016148244497 \tabularnewline
127 & 177 & 460.789254596997 & -283.789254596997 \tabularnewline
128 & 199 & 397.223104457085 & -198.223104457085 \tabularnewline
129 & 203 & 341.372641177305 & -138.372641177305 \tabularnewline
130 & 255 & 290.935571656812 & -35.9355716568123 \tabularnewline
131 & 261 & 261.749868526578 & -0.749868526578211 \tabularnewline
132 & 115 & 240.55541622312 & -125.55541622312 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271972&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]3[/C][C]165[/C][C]146[/C][C]19[/C][/ROW]
[ROW][C]4[/C][C]123[/C][C]97.4729683188087[/C][C]25.5270316811913[/C][/ROW]
[ROW][C]5[/C][C]162[/C][C]51.9596518676386[/C][C]110.040348132361[/C][/ROW]
[ROW][C]6[/C][C]145[/C][C]32.3134976144295[/C][C]112.68650238557[/C][/ROW]
[ROW][C]7[/C][C]145[/C][C]19.9949106070238[/C][C]125.005089392976[/C][/ROW]
[ROW][C]8[/C][C]161[/C][C]17.9479219913683[/C][C]143.052078008632[/C][/ROW]
[ROW][C]9[/C][C]155[/C][C]28.5575675294053[/C][C]126.442432470595[/C][/ROW]
[ROW][C]10[/C][C]173[/C][C]42.9177082589171[/C][C]130.082291741083[/C][/ROW]
[ROW][C]11[/C][C]160[/C][C]65.8702518785755[/C][C]94.1297481214245[/C][/ROW]
[ROW][C]12[/C][C]47[/C][C]86.2277335749583[/C][C]-39.2277335749583[/C][/ROW]
[ROW][C]13[/C][C]232[/C][C]73.7875295395674[/C][C]158.212470460433[/C][/ROW]
[ROW][C]14[/C][C]143[/C][C]115.879721417567[/C][C]27.1202785824328[/C][/ROW]
[ROW][C]15[/C][C]161[/C][C]129.650115498592[/C][C]31.3498845014081[/C][/ROW]
[ROW][C]16[/C][C]159[/C][C]146.256929481959[/C][C]12.7430705180409[/C][/ROW]
[ROW][C]17[/C][C]243[/C][C]159.374461677733[/C][C]83.6255383222667[/C][/ROW]
[ROW][C]18[/C][C]192[/C][C]193.670047191352[/C][C]-1.67004719135161[/C][/ROW]
[ROW][C]19[/C][C]157[/C][C]208.385509583174[/C][C]-51.3855095831745[/C][/ROW]
[ROW][C]20[/C][C]143[/C][C]208.680745033859[/C][C]-65.6807450338592[/C][/ROW]
[ROW][C]21[/C][C]221[/C][C]201.792409224595[/C][C]19.2075907754051[/C][/ROW]
[ROW][C]22[/C][C]227[/C][C]215.437528504719[/C][C]11.5624714952808[/C][/ROW]
[ROW][C]23[/C][C]132[/C][C]228.026446759882[/C][C]-96.0264467598815[/C][/ROW]
[ROW][C]24[/C][C]41[/C][C]210.314125397528[/C][C]-169.314125397528[/C][/ROW]
[ROW][C]25[/C][C]273[/C][C]165.761989319339[/C][C]107.238010680661[/C][/ROW]
[ROW][C]26[/C][C]182[/C][C]190.769169901871[/C][C]-8.76916990187132[/C][/ROW]
[ROW][C]27[/C][C]188[/C][C]188.758514304008[/C][C]-0.758514304008315[/C][/ROW]
[ROW][C]28[/C][C]162[/C][C]188.532140577836[/C][C]-26.5321405778364[/C][/ROW]
[ROW][C]29[/C][C]140[/C][C]180.836393696569[/C][C]-40.8363936965694[/C][/ROW]
[ROW][C]30[/C][C]186[/C][C]167.437305165666[/C][C]18.5626948343341[/C][/ROW]
[ROW][C]31[/C][C]178[/C][C]168.711758607157[/C][C]9.28824139284259[/C][/ROW]
[ROW][C]32[/C][C]236[/C][C]168.422203305399[/C][C]67.5777966946011[/C][/ROW]
[ROW][C]33[/C][C]202[/C][C]185.477175179756[/C][C]16.522824820244[/C][/ROW]
[ROW][C]34[/C][C]184[/C][C]191.857608905825[/C][C]-7.85760890582506[/C][/ROW]
[ROW][C]35[/C][C]119[/C][C]192.201036889104[/C][C]-73.2010368891043[/C][/ROW]
[ROW][C]36[/C][C]16[/C][C]173.253418730182[/C][C]-157.253418730182[/C][/ROW]
[ROW][C]37[/C][C]340[/C][C]125.727035702124[/C][C]214.272964297876[/C][/ROW]
[ROW][C]38[/C][C]151[/C][C]175.836970972583[/C][C]-24.8369709725826[/C][/ROW]
[ROW][C]39[/C][C]240[/C][C]169.855231921504[/C][C]70.1447680784964[/C][/ROW]
[ROW][C]40[/C][C]235[/C][C]189.751225578463[/C][C]45.2487744215367[/C][/ROW]
[ROW][C]41[/C][C]174[/C][C]206.66095325977[/C][C]-32.6609532597696[/C][/ROW]
[ROW][C]42[/C][C]309[/C][C]203.82838749272[/C][C]105.17161250728[/C][/ROW]
[ROW][C]43[/C][C]174[/C][C]238.749973938647[/C][C]-64.7499739386465[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]231.000340049389[/C][C]-24.0003400493888[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]231.125498223677[/C][C]-22.1254982236767[/C][/ROW]
[ROW][C]46[/C][C]171[/C][C]230.358773522504[/C][C]-59.3587735225038[/C][/ROW]
[ROW][C]47[/C][C]117[/C][C]217.5468938355[/C][C]-100.5468938355[/C][/ROW]
[ROW][C]48[/C][C]10[/C][C]189.329212435276[/C][C]-179.329212435276[/C][/ROW]
[ROW][C]49[/C][C]339[/C][C]132.419276436873[/C][C]206.580723563127[/C][/ROW]
[ROW][C]50[/C][C]139[/C][C]175.971746422241[/C][C]-36.9717464222414[/C][/ROW]
[ROW][C]51[/C][C]186[/C][C]161.693923332494[/C][C]24.3060766675062[/C][/ROW]
[ROW][C]52[/C][C]155[/C][C]162.861390060338[/C][C]-7.86139006033787[/C][/ROW]
[ROW][C]53[/C][C]153[/C][C]156.213161025284[/C][C]-3.21316102528382[/C][/ROW]
[ROW][C]54[/C][C]222[/C][C]150.43482453935[/C][C]71.5651754606505[/C][/ROW]
[ROW][C]55[/C][C]102[/C][C]166.004753071307[/C][C]-64.0047530713074[/C][/ROW]
[ROW][C]56[/C][C]107[/C][C]146.793427780957[/C][C]-39.793427780957[/C][/ROW]
[ROW][C]57[/C][C]188[/C][C]130.737480947561[/C][C]57.2625190524388[/C][/ROW]
[ROW][C]58[/C][C]162[/C][C]140.264396928113[/C][C]21.7356030718869[/C][/ROW]
[ROW][C]59[/C][C]185[/C][C]142.974205571558[/C][C]42.0257944284418[/C][/ROW]
[ROW][C]60[/C][C]24[/C][C]152.825435211719[/C][C]-128.825435211719[/C][/ROW]
[ROW][C]61[/C][C]394[/C][C]115.970189421362[/C][C]278.029810578638[/C][/ROW]
[ROW][C]62[/C][C]209[/C][C]188.623874381207[/C][C]20.3761256187931[/C][/ROW]
[ROW][C]63[/C][C]248[/C][C]203.648266309936[/C][C]44.351733690064[/C][/ROW]
[ROW][C]64[/C][C]254[/C][C]226.794556537056[/C][C]27.2054434629445[/C][/ROW]
[ROW][C]65[/C][C]202[/C][C]247.647999896496[/C][C]-45.6479998964964[/C][/ROW]
[ROW][C]66[/C][C]258[/C][C]249.139097688511[/C][C]8.86090231148913[/C][/ROW]
[ROW][C]67[/C][C]215[/C][C]263.608039590232[/C][C]-48.6080395902321[/C][/ROW]
[ROW][C]68[/C][C]309[/C][C]262.051665598318[/C][C]46.9483344016816[/C][/ROW]
[ROW][C]69[/C][C]240[/C][C]285.120294619199[/C][C]-45.1202946191994[/C][/ROW]
[ROW][C]70[/C][C]258[/C][C]284.469545897939[/C][C]-26.4695458979391[/C][/ROW]
[ROW][C]71[/C][C]276[/C][C]286.499150094743[/C][C]-10.4991500947431[/C][/ROW]
[ROW][C]72[/C][C]48[/C][C]291.549789041015[/C][C]-243.549789041015[/C][/ROW]
[ROW][C]73[/C][C]455[/C][C]228.843555696574[/C][C]226.156444303426[/C][/ROW]
[ROW][C]74[/C][C]345[/C][C]286.905738757447[/C][C]58.0942612425527[/C][/ROW]
[ROW][C]75[/C][C]311[/C][C]310.050625377336[/C][C]0.949374622663754[/C][/ROW]
[ROW][C]76[/C][C]346[/C][C]320.200951629017[/C][C]25.7990483709826[/C][/ROW]
[ROW][C]77[/C][C]310[/C][C]337.565892923819[/C][C]-27.5658929238192[/C][/ROW]
[ROW][C]78[/C][C]297[/C][C]341.098260676198[/C][C]-44.0982606761985[/C][/ROW]
[ROW][C]79[/C][C]300[/C][C]338.223799419175[/C][C]-38.2237994191746[/C][/ROW]
[ROW][C]80[/C][C]274[/C][C]334.410446793863[/C][C]-60.4104467938633[/C][/ROW]
[ROW][C]81[/C][C]292[/C][C]321.925661528425[/C][C]-29.9256615284249[/C][/ROW]
[ROW][C]82[/C][C]304[/C][C]314.617778096992[/C][C]-10.617778096992[/C][/ROW]
[ROW][C]83[/C][C]186[/C][C]311.086093633413[/C][C]-125.086093633413[/C][/ROW]
[ROW][C]84[/C][C]14[/C][C]273.948211762839[/C][C]-259.948211762839[/C][/ROW]
[ROW][C]85[/C][C]321[/C][C]190.500152097114[/C][C]130.499847902886[/C][/ROW]
[ROW][C]86[/C][C]206[/C][C]204.011735999025[/C][C]1.98826400097488[/C][/ROW]
[ROW][C]87[/C][C]160[/C][C]188.291449847178[/C][C]-28.2914498471778[/C][/ROW]
[ROW][C]88[/C][C]217[/C][C]163.967688770606[/C][C]53.0323112293944[/C][/ROW]
[ROW][C]89[/C][C]204[/C][C]161.381362021252[/C][C]42.6186379787477[/C][/ROW]
[ROW][C]90[/C][C]246[/C][C]158.959434723984[/C][C]87.0405652760161[/C][/ROW]
[ROW][C]91[/C][C]234[/C][C]171.876043246304[/C][C]62.1239567536957[/C][/ROW]
[ROW][C]92[/C][C]175[/C][C]182.808502019474[/C][C]-7.80850201947445[/C][/ROW]
[ROW][C]93[/C][C]364[/C][C]177.303351757678[/C][C]186.696648242322[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]227.359718714968[/C][C]100.640281285032[/C][/ROW]
[ROW][C]95[/C][C]158[/C][C]263.766352855349[/C][C]-105.766352855349[/C][/ROW]
[ROW][C]96[/C][C]40[/C][C]246.721860570466[/C][C]-206.721860570466[/C][/ROW]
[ROW][C]97[/C][C]556[/C][C]194.286696474293[/C][C]361.713303525707[/C][/ROW]
[ROW][C]98[/C][C]193[/C][C]293.256178066101[/C][C]-100.256178066101[/C][/ROW]
[ROW][C]99[/C][C]221[/C][C]280.735814687468[/C][C]-59.7358146874678[/C][/ROW]
[ROW][C]100[/C][C]278[/C][C]273.905794261964[/C][C]4.09420573803584[/C][/ROW]
[ROW][C]101[/C][C]230[/C][C]281.8980533998[/C][C]-51.8980533997996[/C][/ROW]
[ROW][C]102[/C][C]253[/C][C]274.005961004503[/C][C]-21.005961004503[/C][/ROW]
[ROW][C]103[/C][C]240[/C][C]271.915970788383[/C][C]-31.9159707883828[/C][/ROW]
[ROW][C]104[/C][C]252[/C][C]265.430062573816[/C][C]-13.4300625738163[/C][/ROW]
[ROW][C]105[/C][C]228[/C][C]262.364834703687[/C][C]-34.3648347036871[/C][/ROW]
[ROW][C]106[/C][C]306[/C][C]252.468047387973[/C][C]53.5319526120268[/C][/ROW]
[ROW][C]107[/C][C]206[/C][C]265.839704436905[/C][C]-59.8397044369049[/C][/ROW]
[ROW][C]108[/C][C]48[/C][C]249.74842455405[/C][C]-201.74842455405[/C][/ROW]
[ROW][C]109[/C][C]557[/C][C]189.209983282022[/C][C]367.790016717978[/C][/ROW]
[ROW][C]110[/C][C]279[/C][C]280.690717985982[/C][C]-1.69071798598219[/C][/ROW]
[ROW][C]111[/C][C]399[/C][C]287.685635520074[/C][C]111.314364479926[/C][/ROW]
[ROW][C]112[/C][C]364[/C][C]327.130902663835[/C][C]36.8690973361653[/C][/ROW]
[ROW][C]113[/C][C]306[/C][C]351.773490460747[/C][C]-45.7734904607472[/C][/ROW]
[ROW][C]114[/C][C]471[/C][C]354.810523012463[/C][C]116.189476987537[/C][/ROW]
[ROW][C]115[/C][C]293[/C][C]401.770159621376[/C][C]-108.770159621376[/C][/ROW]
[ROW][C]116[/C][C]333[/C][C]390.862171596788[/C][C]-57.8621715967881[/C][/ROW]
[ROW][C]117[/C][C]316[/C][C]388.128721931591[/C][C]-72.1287219315909[/C][/ROW]
[ROW][C]118[/C][C]329[/C][C]377.83354653879[/C][C]-48.83354653879[/C][/ROW]
[ROW][C]119[/C][C]265[/C][C]369.945151190328[/C][C]-104.945151190328[/C][/ROW]
[ROW][C]120[/C][C]61[/C][C]342.980196949516[/C][C]-281.980196949516[/C][/ROW]
[ROW][C]121[/C][C]679[/C][C]258.758781986773[/C][C]420.241218013227[/C][/ROW]
[ROW][C]122[/C][C]428[/C][C]359.989131313549[/C][C]68.0108686864515[/C][/ROW]
[ROW][C]123[/C][C]394[/C][C]384.832050906422[/C][C]9.16794909357799[/C][/ROW]
[ROW][C]124[/C][C]352[/C][C]396.782944886719[/C][C]-44.7829448867186[/C][/ROW]
[ROW][C]125[/C][C]387[/C][C]393.740219408678[/C][C]-6.7402194086784[/C][/ROW]
[ROW][C]126[/C][C]590[/C][C]398.983851755503[/C][C]191.016148244497[/C][/ROW]
[ROW][C]127[/C][C]177[/C][C]460.789254596997[/C][C]-283.789254596997[/C][/ROW]
[ROW][C]128[/C][C]199[/C][C]397.223104457085[/C][C]-198.223104457085[/C][/ROW]
[ROW][C]129[/C][C]203[/C][C]341.372641177305[/C][C]-138.372641177305[/C][/ROW]
[ROW][C]130[/C][C]255[/C][C]290.935571656812[/C][C]-35.9355716568123[/C][/ROW]
[ROW][C]131[/C][C]261[/C][C]261.749868526578[/C][C]-0.749868526578211[/C][/ROW]
[ROW][C]132[/C][C]115[/C][C]240.55541622312[/C][C]-125.55541622312[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271972&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271972&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
316514619
412397.472968318808725.5270316811913
516251.9596518676386110.040348132361
614532.3134976144295112.68650238557
714519.9949106070238125.005089392976
816117.9479219913683143.052078008632
915528.5575675294053126.442432470595
1017342.9177082589171130.082291741083
1116065.870251878575594.1297481214245
124786.2277335749583-39.2277335749583
1323273.7875295395674158.212470460433
14143115.87972141756727.1202785824328
15161129.65011549859231.3498845014081
16159146.25692948195912.7430705180409
17243159.37446167773383.6255383222667
18192193.670047191352-1.67004719135161
19157208.385509583174-51.3855095831745
20143208.680745033859-65.6807450338592
21221201.79240922459519.2075907754051
22227215.43752850471911.5624714952808
23132228.026446759882-96.0264467598815
2441210.314125397528-169.314125397528
25273165.761989319339107.238010680661
26182190.769169901871-8.76916990187132
27188188.758514304008-0.758514304008315
28162188.532140577836-26.5321405778364
29140180.836393696569-40.8363936965694
30186167.43730516566618.5626948343341
31178168.7117586071579.28824139284259
32236168.42220330539967.5777966946011
33202185.47717517975616.522824820244
34184191.857608905825-7.85760890582506
35119192.201036889104-73.2010368891043
3616173.253418730182-157.253418730182
37340125.727035702124214.272964297876
38151175.836970972583-24.8369709725826
39240169.85523192150470.1447680784964
40235189.75122557846345.2487744215367
41174206.66095325977-32.6609532597696
42309203.82838749272105.17161250728
43174238.749973938647-64.7499739386465
44207231.000340049389-24.0003400493888
45209231.125498223677-22.1254982236767
46171230.358773522504-59.3587735225038
47117217.5468938355-100.5468938355
4810189.329212435276-179.329212435276
49339132.419276436873206.580723563127
50139175.971746422241-36.9717464222414
51186161.69392333249424.3060766675062
52155162.861390060338-7.86139006033787
53153156.213161025284-3.21316102528382
54222150.4348245393571.5651754606505
55102166.004753071307-64.0047530713074
56107146.793427780957-39.793427780957
57188130.73748094756157.2625190524388
58162140.26439692811321.7356030718869
59185142.97420557155842.0257944284418
6024152.825435211719-128.825435211719
61394115.970189421362278.029810578638
62209188.62387438120720.3761256187931
63248203.64826630993644.351733690064
64254226.79455653705627.2054434629445
65202247.647999896496-45.6479998964964
66258249.1390976885118.86090231148913
67215263.608039590232-48.6080395902321
68309262.05166559831846.9483344016816
69240285.120294619199-45.1202946191994
70258284.469545897939-26.4695458979391
71276286.499150094743-10.4991500947431
7248291.549789041015-243.549789041015
73455228.843555696574226.156444303426
74345286.90573875744758.0942612425527
75311310.0506253773360.949374622663754
76346320.20095162901725.7990483709826
77310337.565892923819-27.5658929238192
78297341.098260676198-44.0982606761985
79300338.223799419175-38.2237994191746
80274334.410446793863-60.4104467938633
81292321.925661528425-29.9256615284249
82304314.617778096992-10.617778096992
83186311.086093633413-125.086093633413
8414273.948211762839-259.948211762839
85321190.500152097114130.499847902886
86206204.0117359990251.98826400097488
87160188.291449847178-28.2914498471778
88217163.96768877060653.0323112293944
89204161.38136202125242.6186379787477
90246158.95943472398487.0405652760161
91234171.87604324630462.1239567536957
92175182.808502019474-7.80850201947445
93364177.303351757678186.696648242322
94328227.359718714968100.640281285032
95158263.766352855349-105.766352855349
9640246.721860570466-206.721860570466
97556194.286696474293361.713303525707
98193293.256178066101-100.256178066101
99221280.735814687468-59.7358146874678
100278273.9057942619644.09420573803584
101230281.8980533998-51.8980533997996
102253274.005961004503-21.005961004503
103240271.915970788383-31.9159707883828
104252265.430062573816-13.4300625738163
105228262.364834703687-34.3648347036871
106306252.46804738797353.5319526120268
107206265.839704436905-59.8397044369049
10848249.74842455405-201.74842455405
109557189.209983282022367.790016717978
110279280.690717985982-1.69071798598219
111399287.685635520074111.314364479926
112364327.13090266383536.8690973361653
113306351.773490460747-45.7734904607472
114471354.810523012463116.189476987537
115293401.770159621376-108.770159621376
116333390.862171596788-57.8621715967881
117316388.128721931591-72.1287219315909
118329377.83354653879-48.83354653879
119265369.945151190328-104.945151190328
12061342.980196949516-281.980196949516
121679258.758781986773420.241218013227
122428359.98913131354968.0108686864515
123394384.8320509064229.16794909357799
124352396.782944886719-44.7829448867186
125387393.740219408678-6.7402194086784
126590398.983851755503191.016148244497
127177460.789254596997-283.789254596997
128199397.223104457085-198.223104457085
129203341.372641177305-138.372641177305
130255290.935571656812-35.9355716568123
131261261.749868526578-0.749868526578211
132115240.55541622312-125.55541622312







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133183.365866150571-42.0991620587087408.830894359851
134154.851658929059-79.7807905807484389.484108438867
135126.337451707548-121.045914632898373.720818047993
13697.8232444860358-166.060855601447361.707344573519
13769.3090372645239-214.809177517307353.427252046355
13840.7948300430121-267.142604534415348.732264620439
13912.2806228215003-322.836726484099347.3979721271
140-16.2335844000116-381.636911070638349.169742270615
141-44.7477916215234-443.289172433942353.793589190895
142-73.2619988430353-507.557370262107361.033372576037
143-101.776206064547-574.23066099871370.678248869616
144-130.290413286059-643.125053174867382.544226602749

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 183.365866150571 & -42.0991620587087 & 408.830894359851 \tabularnewline
134 & 154.851658929059 & -79.7807905807484 & 389.484108438867 \tabularnewline
135 & 126.337451707548 & -121.045914632898 & 373.720818047993 \tabularnewline
136 & 97.8232444860358 & -166.060855601447 & 361.707344573519 \tabularnewline
137 & 69.3090372645239 & -214.809177517307 & 353.427252046355 \tabularnewline
138 & 40.7948300430121 & -267.142604534415 & 348.732264620439 \tabularnewline
139 & 12.2806228215003 & -322.836726484099 & 347.3979721271 \tabularnewline
140 & -16.2335844000116 & -381.636911070638 & 349.169742270615 \tabularnewline
141 & -44.7477916215234 & -443.289172433942 & 353.793589190895 \tabularnewline
142 & -73.2619988430353 & -507.557370262107 & 361.033372576037 \tabularnewline
143 & -101.776206064547 & -574.23066099871 & 370.678248869616 \tabularnewline
144 & -130.290413286059 & -643.125053174867 & 382.544226602749 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271972&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]183.365866150571[/C][C]-42.0991620587087[/C][C]408.830894359851[/C][/ROW]
[ROW][C]134[/C][C]154.851658929059[/C][C]-79.7807905807484[/C][C]389.484108438867[/C][/ROW]
[ROW][C]135[/C][C]126.337451707548[/C][C]-121.045914632898[/C][C]373.720818047993[/C][/ROW]
[ROW][C]136[/C][C]97.8232444860358[/C][C]-166.060855601447[/C][C]361.707344573519[/C][/ROW]
[ROW][C]137[/C][C]69.3090372645239[/C][C]-214.809177517307[/C][C]353.427252046355[/C][/ROW]
[ROW][C]138[/C][C]40.7948300430121[/C][C]-267.142604534415[/C][C]348.732264620439[/C][/ROW]
[ROW][C]139[/C][C]12.2806228215003[/C][C]-322.836726484099[/C][C]347.3979721271[/C][/ROW]
[ROW][C]140[/C][C]-16.2335844000116[/C][C]-381.636911070638[/C][C]349.169742270615[/C][/ROW]
[ROW][C]141[/C][C]-44.7477916215234[/C][C]-443.289172433942[/C][C]353.793589190895[/C][/ROW]
[ROW][C]142[/C][C]-73.2619988430353[/C][C]-507.557370262107[/C][C]361.033372576037[/C][/ROW]
[ROW][C]143[/C][C]-101.776206064547[/C][C]-574.23066099871[/C][C]370.678248869616[/C][/ROW]
[ROW][C]144[/C][C]-130.290413286059[/C][C]-643.125053174867[/C][C]382.544226602749[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271972&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271972&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
133183.365866150571-42.0991620587087408.830894359851
134154.851658929059-79.7807905807484389.484108438867
135126.337451707548-121.045914632898373.720818047993
13697.8232444860358-166.060855601447361.707344573519
13769.3090372645239-214.809177517307353.427252046355
13840.7948300430121-267.142604534415348.732264620439
13912.2806228215003-322.836726484099347.3979721271
140-16.2335844000116-381.636911070638349.169742270615
141-44.7477916215234-443.289172433942353.793589190895
142-73.2619988430353-507.557370262107361.033372576037
143-101.776206064547-574.23066099871370.678248869616
144-130.290413286059-643.125053174867382.544226602749



Parameters (Session):
par1 = grey ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')