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 13:25:05 -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/t13998291404ryipfvcbw7ndg4.htm/, Retrieved Tue, 14 May 2024 15:26:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234796, Retrieved Tue, 14 May 2024 15:26:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [] [2014-05-11 16:46:15] [4512ef39545e98c37276c02512a09398]
- RMP     [Exponential Smoothing] [] [2014-05-11 17:25:05] [5f7d0cda5d8a9348873c82369b6851b6] [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'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234796&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234796&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234796&T=0

As an alternative you can also use a QR Code:  

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

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







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.228387939872519
beta0.261235441366214
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.228387939872519 \tabularnewline
beta & 0.261235441366214 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234796&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]0.228387939872519[/C][/ROW]
[ROW][C]beta[/C][C]0.261235441366214[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234796&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234796&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
alpha0.228387939872519
beta0.261235441366214
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
316514619
412397.472968318808925.5270316811911
516251.9596518676394110.040348132361
614532.3134976144323112.686502385568
714519.9949106070308125.005089392969
816117.9479219913812143.052078008619
915528.5575675294255126.442432470575
1017342.9177082589452130.082291741055
1116065.870251878611394.1297481213887
124786.227733575001-39.227733575001
1323273.787529539614158.212470460386
14143115.87972141761527.120278582385
15161129.65011549864131.3498845013595
16159146.25692948200612.7430705179937
17243159.37446167777783.6255383222229
18192193.670047191391-1.67004719139129
19157208.38550958321-51.38550958321
20143208.680745033889-65.6807450338888
21221201.79240922461719.2075907753834
22227215.43752850473311.5624714952672
23132228.026446759888-96.0264467598884
2441210.314125397528-169.314125397528
25273165.761989319332107.238010680668
26182190.769169901856-8.76916990185623
27188188.75851430399-0.758514303989955
28162188.532140577816-26.5321405778165
29140180.836393696549-40.8363936965491
30186167.43730516564618.5626948343543
31178168.7117586071389.28824139286192
32236168.42220330538267.5777966946182
33202185.47717517974216.5228248202576
34184191.857608905816-7.85760890581622
35119192.2010368891-73.2010368890999
3616173.25341873018-157.25341873018
37340125.727035702122214.272964297878
38151175.83697097258-24.8369709725799
39240169.85523192150470.1447680784963
40235189.75122557846645.2487744215341
41174206.660953259776-32.6609532597756
42309203.828387492729105.171612507271
43174238.749973938657-64.7499739386572
44207231.000340049401-24.0003400494014
45209231.125498223689-22.1254982236889
46171230.358773522514-59.3587735225142
47117217.546893835508-100.546893835508
4810189.329212435279-179.329212435279
49339132.419276436869206.580723563131
50139175.971746422231-36.971746422231
51186161.69392333248224.3060766675177
52155162.861390060326-7.86139006032582
53153156.213161025272-3.21316102527237
54222150.43482453933971.5651754606609
55102166.004753071299-64.0047530712989
56107146.793427780951-39.7934277809512
57188130.73748094755657.2625190524437
58162140.26439692810921.7356030718909
59185142.97420557155642.0257944284437
6024152.825435211719-128.825435211719
61394115.970189421364278.029810578636
62209188.6238743812120.3761256187897
63248203.64826630994544.3517336900549
64254226.79455653706927.2054434629308
65202247.647999896514-45.6479998965138
66258249.139097688538.86090231146983
67215263.608039590251-48.608039590251
68309262.05166559833546.9483344016645
69240285.120294619214-45.1202946192138
70258284.469545897951-26.4695458979509
71276286.499150094751-10.4991500947511
7248291.549789041019-243.549789041019
73455228.843555696572226.156444303428
74345286.90573875743958.0942612425605
75311310.0506253773280.949374622671598
76346320.20095162901125.7990483709889
77310337.565892923815-27.5658929238145
78297341.098260676196-44.0982606761955
79300338.223799419172-38.2237994191722
80274334.410446793861-60.4104467938605
81292321.925661528421-29.9256615284207
82304314.617778096986-10.6177780969858
83186311.086093633405-125.086093633405
8414273.948211762829-259.948211762829
85321190.500152097098130.499847902902
86206204.0117359990031.98826400099745
87160188.291449847154-28.2914498471538
88217163.96768877058253.0323112294184
89204161.3813620212342.6186379787702
90246158.95943472396587.0405652760348
91234171.87604324629162.1239567537088
92175182.808502019468-7.80850201946836
93364177.303351757678186.696648242322
94328227.359718714975100.640281285025
95158263.766352855365-105.766352855365
9640246.721860570489-206.721860570489
97556194.286696474316361.713303525684
98193293.256178066123-100.256178066123
99221280.735814687492-59.7358146874919
100278273.9057942619874.09420573801333
101230281.898053399819-51.8980533998187
102253274.005961004518-21.0059610045178
103240271.915970788392-31.9159707883923
104252265.43006257382-13.4300625738205
105228262.364834703686-34.3648347036863
106306252.46804738796853.5319526120319
107206265.839704436897-59.8397044368966
10848249.74842455404-201.74842455404
109557189.209983282009367.790016717991
110279280.690717985967-1.69071798596707
111399287.685635520064111.314364479936
112364327.13090266383136.8690973361689
113306351.773490460751-45.7734904607506
114471354.810523012472116.189476987528
115293401.770159621389-108.770159621389
116333390.862171596804-57.8621715968039
117316388.128721931606-72.1287219316059
118329377.833546538802-48.8335465388018
119265369.945151190335-104.945151190335
12061342.980196949517-281.980196949517
121679258.758781986765420.241218013235
122428359.98913131353368.0108686864666
123394384.832050906419.16794909359021
124352396.782944886711-44.7829448867107
125387393.740219408674-6.74021940867379
126590398.983851755501191.016148244499
127177460.789254596998-283.789254596998
128199397.223104457089-198.223104457089
129203341.372641177304-138.372641177304
130255290.935571656804-35.9355716568039
131261261.749868526561-0.749868526561443
132115240.555416223098-125.555416223098

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 165 & 146 & 19 \tabularnewline
4 & 123 & 97.4729683188089 & 25.5270316811911 \tabularnewline
5 & 162 & 51.9596518676394 & 110.040348132361 \tabularnewline
6 & 145 & 32.3134976144323 & 112.686502385568 \tabularnewline
7 & 145 & 19.9949106070308 & 125.005089392969 \tabularnewline
8 & 161 & 17.9479219913812 & 143.052078008619 \tabularnewline
9 & 155 & 28.5575675294255 & 126.442432470575 \tabularnewline
10 & 173 & 42.9177082589452 & 130.082291741055 \tabularnewline
11 & 160 & 65.8702518786113 & 94.1297481213887 \tabularnewline
12 & 47 & 86.227733575001 & -39.227733575001 \tabularnewline
13 & 232 & 73.787529539614 & 158.212470460386 \tabularnewline
14 & 143 & 115.879721417615 & 27.120278582385 \tabularnewline
15 & 161 & 129.650115498641 & 31.3498845013595 \tabularnewline
16 & 159 & 146.256929482006 & 12.7430705179937 \tabularnewline
17 & 243 & 159.374461677777 & 83.6255383222229 \tabularnewline
18 & 192 & 193.670047191391 & -1.67004719139129 \tabularnewline
19 & 157 & 208.38550958321 & -51.38550958321 \tabularnewline
20 & 143 & 208.680745033889 & -65.6807450338888 \tabularnewline
21 & 221 & 201.792409224617 & 19.2075907753834 \tabularnewline
22 & 227 & 215.437528504733 & 11.5624714952672 \tabularnewline
23 & 132 & 228.026446759888 & -96.0264467598884 \tabularnewline
24 & 41 & 210.314125397528 & -169.314125397528 \tabularnewline
25 & 273 & 165.761989319332 & 107.238010680668 \tabularnewline
26 & 182 & 190.769169901856 & -8.76916990185623 \tabularnewline
27 & 188 & 188.75851430399 & -0.758514303989955 \tabularnewline
28 & 162 & 188.532140577816 & -26.5321405778165 \tabularnewline
29 & 140 & 180.836393696549 & -40.8363936965491 \tabularnewline
30 & 186 & 167.437305165646 & 18.5626948343543 \tabularnewline
31 & 178 & 168.711758607138 & 9.28824139286192 \tabularnewline
32 & 236 & 168.422203305382 & 67.5777966946182 \tabularnewline
33 & 202 & 185.477175179742 & 16.5228248202576 \tabularnewline
34 & 184 & 191.857608905816 & -7.85760890581622 \tabularnewline
35 & 119 & 192.2010368891 & -73.2010368890999 \tabularnewline
36 & 16 & 173.25341873018 & -157.25341873018 \tabularnewline
37 & 340 & 125.727035702122 & 214.272964297878 \tabularnewline
38 & 151 & 175.83697097258 & -24.8369709725799 \tabularnewline
39 & 240 & 169.855231921504 & 70.1447680784963 \tabularnewline
40 & 235 & 189.751225578466 & 45.2487744215341 \tabularnewline
41 & 174 & 206.660953259776 & -32.6609532597756 \tabularnewline
42 & 309 & 203.828387492729 & 105.171612507271 \tabularnewline
43 & 174 & 238.749973938657 & -64.7499739386572 \tabularnewline
44 & 207 & 231.000340049401 & -24.0003400494014 \tabularnewline
45 & 209 & 231.125498223689 & -22.1254982236889 \tabularnewline
46 & 171 & 230.358773522514 & -59.3587735225142 \tabularnewline
47 & 117 & 217.546893835508 & -100.546893835508 \tabularnewline
48 & 10 & 189.329212435279 & -179.329212435279 \tabularnewline
49 & 339 & 132.419276436869 & 206.580723563131 \tabularnewline
50 & 139 & 175.971746422231 & -36.971746422231 \tabularnewline
51 & 186 & 161.693923332482 & 24.3060766675177 \tabularnewline
52 & 155 & 162.861390060326 & -7.86139006032582 \tabularnewline
53 & 153 & 156.213161025272 & -3.21316102527237 \tabularnewline
54 & 222 & 150.434824539339 & 71.5651754606609 \tabularnewline
55 & 102 & 166.004753071299 & -64.0047530712989 \tabularnewline
56 & 107 & 146.793427780951 & -39.7934277809512 \tabularnewline
57 & 188 & 130.737480947556 & 57.2625190524437 \tabularnewline
58 & 162 & 140.264396928109 & 21.7356030718909 \tabularnewline
59 & 185 & 142.974205571556 & 42.0257944284437 \tabularnewline
60 & 24 & 152.825435211719 & -128.825435211719 \tabularnewline
61 & 394 & 115.970189421364 & 278.029810578636 \tabularnewline
62 & 209 & 188.62387438121 & 20.3761256187897 \tabularnewline
63 & 248 & 203.648266309945 & 44.3517336900549 \tabularnewline
64 & 254 & 226.794556537069 & 27.2054434629308 \tabularnewline
65 & 202 & 247.647999896514 & -45.6479998965138 \tabularnewline
66 & 258 & 249.13909768853 & 8.86090231146983 \tabularnewline
67 & 215 & 263.608039590251 & -48.608039590251 \tabularnewline
68 & 309 & 262.051665598335 & 46.9483344016645 \tabularnewline
69 & 240 & 285.120294619214 & -45.1202946192138 \tabularnewline
70 & 258 & 284.469545897951 & -26.4695458979509 \tabularnewline
71 & 276 & 286.499150094751 & -10.4991500947511 \tabularnewline
72 & 48 & 291.549789041019 & -243.549789041019 \tabularnewline
73 & 455 & 228.843555696572 & 226.156444303428 \tabularnewline
74 & 345 & 286.905738757439 & 58.0942612425605 \tabularnewline
75 & 311 & 310.050625377328 & 0.949374622671598 \tabularnewline
76 & 346 & 320.200951629011 & 25.7990483709889 \tabularnewline
77 & 310 & 337.565892923815 & -27.5658929238145 \tabularnewline
78 & 297 & 341.098260676196 & -44.0982606761955 \tabularnewline
79 & 300 & 338.223799419172 & -38.2237994191722 \tabularnewline
80 & 274 & 334.410446793861 & -60.4104467938605 \tabularnewline
81 & 292 & 321.925661528421 & -29.9256615284207 \tabularnewline
82 & 304 & 314.617778096986 & -10.6177780969858 \tabularnewline
83 & 186 & 311.086093633405 & -125.086093633405 \tabularnewline
84 & 14 & 273.948211762829 & -259.948211762829 \tabularnewline
85 & 321 & 190.500152097098 & 130.499847902902 \tabularnewline
86 & 206 & 204.011735999003 & 1.98826400099745 \tabularnewline
87 & 160 & 188.291449847154 & -28.2914498471538 \tabularnewline
88 & 217 & 163.967688770582 & 53.0323112294184 \tabularnewline
89 & 204 & 161.38136202123 & 42.6186379787702 \tabularnewline
90 & 246 & 158.959434723965 & 87.0405652760348 \tabularnewline
91 & 234 & 171.876043246291 & 62.1239567537088 \tabularnewline
92 & 175 & 182.808502019468 & -7.80850201946836 \tabularnewline
93 & 364 & 177.303351757678 & 186.696648242322 \tabularnewline
94 & 328 & 227.359718714975 & 100.640281285025 \tabularnewline
95 & 158 & 263.766352855365 & -105.766352855365 \tabularnewline
96 & 40 & 246.721860570489 & -206.721860570489 \tabularnewline
97 & 556 & 194.286696474316 & 361.713303525684 \tabularnewline
98 & 193 & 293.256178066123 & -100.256178066123 \tabularnewline
99 & 221 & 280.735814687492 & -59.7358146874919 \tabularnewline
100 & 278 & 273.905794261987 & 4.09420573801333 \tabularnewline
101 & 230 & 281.898053399819 & -51.8980533998187 \tabularnewline
102 & 253 & 274.005961004518 & -21.0059610045178 \tabularnewline
103 & 240 & 271.915970788392 & -31.9159707883923 \tabularnewline
104 & 252 & 265.43006257382 & -13.4300625738205 \tabularnewline
105 & 228 & 262.364834703686 & -34.3648347036863 \tabularnewline
106 & 306 & 252.468047387968 & 53.5319526120319 \tabularnewline
107 & 206 & 265.839704436897 & -59.8397044368966 \tabularnewline
108 & 48 & 249.74842455404 & -201.74842455404 \tabularnewline
109 & 557 & 189.209983282009 & 367.790016717991 \tabularnewline
110 & 279 & 280.690717985967 & -1.69071798596707 \tabularnewline
111 & 399 & 287.685635520064 & 111.314364479936 \tabularnewline
112 & 364 & 327.130902663831 & 36.8690973361689 \tabularnewline
113 & 306 & 351.773490460751 & -45.7734904607506 \tabularnewline
114 & 471 & 354.810523012472 & 116.189476987528 \tabularnewline
115 & 293 & 401.770159621389 & -108.770159621389 \tabularnewline
116 & 333 & 390.862171596804 & -57.8621715968039 \tabularnewline
117 & 316 & 388.128721931606 & -72.1287219316059 \tabularnewline
118 & 329 & 377.833546538802 & -48.8335465388018 \tabularnewline
119 & 265 & 369.945151190335 & -104.945151190335 \tabularnewline
120 & 61 & 342.980196949517 & -281.980196949517 \tabularnewline
121 & 679 & 258.758781986765 & 420.241218013235 \tabularnewline
122 & 428 & 359.989131313533 & 68.0108686864666 \tabularnewline
123 & 394 & 384.83205090641 & 9.16794909359021 \tabularnewline
124 & 352 & 396.782944886711 & -44.7829448867107 \tabularnewline
125 & 387 & 393.740219408674 & -6.74021940867379 \tabularnewline
126 & 590 & 398.983851755501 & 191.016148244499 \tabularnewline
127 & 177 & 460.789254596998 & -283.789254596998 \tabularnewline
128 & 199 & 397.223104457089 & -198.223104457089 \tabularnewline
129 & 203 & 341.372641177304 & -138.372641177304 \tabularnewline
130 & 255 & 290.935571656804 & -35.9355716568039 \tabularnewline
131 & 261 & 261.749868526561 & -0.749868526561443 \tabularnewline
132 & 115 & 240.555416223098 & -125.555416223098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234796&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]97.4729683188089[/C][C]25.5270316811911[/C][/ROW]
[ROW][C]5[/C][C]162[/C][C]51.9596518676394[/C][C]110.040348132361[/C][/ROW]
[ROW][C]6[/C][C]145[/C][C]32.3134976144323[/C][C]112.686502385568[/C][/ROW]
[ROW][C]7[/C][C]145[/C][C]19.9949106070308[/C][C]125.005089392969[/C][/ROW]
[ROW][C]8[/C][C]161[/C][C]17.9479219913812[/C][C]143.052078008619[/C][/ROW]
[ROW][C]9[/C][C]155[/C][C]28.5575675294255[/C][C]126.442432470575[/C][/ROW]
[ROW][C]10[/C][C]173[/C][C]42.9177082589452[/C][C]130.082291741055[/C][/ROW]
[ROW][C]11[/C][C]160[/C][C]65.8702518786113[/C][C]94.1297481213887[/C][/ROW]
[ROW][C]12[/C][C]47[/C][C]86.227733575001[/C][C]-39.227733575001[/C][/ROW]
[ROW][C]13[/C][C]232[/C][C]73.787529539614[/C][C]158.212470460386[/C][/ROW]
[ROW][C]14[/C][C]143[/C][C]115.879721417615[/C][C]27.120278582385[/C][/ROW]
[ROW][C]15[/C][C]161[/C][C]129.650115498641[/C][C]31.3498845013595[/C][/ROW]
[ROW][C]16[/C][C]159[/C][C]146.256929482006[/C][C]12.7430705179937[/C][/ROW]
[ROW][C]17[/C][C]243[/C][C]159.374461677777[/C][C]83.6255383222229[/C][/ROW]
[ROW][C]18[/C][C]192[/C][C]193.670047191391[/C][C]-1.67004719139129[/C][/ROW]
[ROW][C]19[/C][C]157[/C][C]208.38550958321[/C][C]-51.38550958321[/C][/ROW]
[ROW][C]20[/C][C]143[/C][C]208.680745033889[/C][C]-65.6807450338888[/C][/ROW]
[ROW][C]21[/C][C]221[/C][C]201.792409224617[/C][C]19.2075907753834[/C][/ROW]
[ROW][C]22[/C][C]227[/C][C]215.437528504733[/C][C]11.5624714952672[/C][/ROW]
[ROW][C]23[/C][C]132[/C][C]228.026446759888[/C][C]-96.0264467598884[/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]165.761989319332[/C][C]107.238010680668[/C][/ROW]
[ROW][C]26[/C][C]182[/C][C]190.769169901856[/C][C]-8.76916990185623[/C][/ROW]
[ROW][C]27[/C][C]188[/C][C]188.75851430399[/C][C]-0.758514303989955[/C][/ROW]
[ROW][C]28[/C][C]162[/C][C]188.532140577816[/C][C]-26.5321405778165[/C][/ROW]
[ROW][C]29[/C][C]140[/C][C]180.836393696549[/C][C]-40.8363936965491[/C][/ROW]
[ROW][C]30[/C][C]186[/C][C]167.437305165646[/C][C]18.5626948343543[/C][/ROW]
[ROW][C]31[/C][C]178[/C][C]168.711758607138[/C][C]9.28824139286192[/C][/ROW]
[ROW][C]32[/C][C]236[/C][C]168.422203305382[/C][C]67.5777966946182[/C][/ROW]
[ROW][C]33[/C][C]202[/C][C]185.477175179742[/C][C]16.5228248202576[/C][/ROW]
[ROW][C]34[/C][C]184[/C][C]191.857608905816[/C][C]-7.85760890581622[/C][/ROW]
[ROW][C]35[/C][C]119[/C][C]192.2010368891[/C][C]-73.2010368890999[/C][/ROW]
[ROW][C]36[/C][C]16[/C][C]173.25341873018[/C][C]-157.25341873018[/C][/ROW]
[ROW][C]37[/C][C]340[/C][C]125.727035702122[/C][C]214.272964297878[/C][/ROW]
[ROW][C]38[/C][C]151[/C][C]175.83697097258[/C][C]-24.8369709725799[/C][/ROW]
[ROW][C]39[/C][C]240[/C][C]169.855231921504[/C][C]70.1447680784963[/C][/ROW]
[ROW][C]40[/C][C]235[/C][C]189.751225578466[/C][C]45.2487744215341[/C][/ROW]
[ROW][C]41[/C][C]174[/C][C]206.660953259776[/C][C]-32.6609532597756[/C][/ROW]
[ROW][C]42[/C][C]309[/C][C]203.828387492729[/C][C]105.171612507271[/C][/ROW]
[ROW][C]43[/C][C]174[/C][C]238.749973938657[/C][C]-64.7499739386572[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]231.000340049401[/C][C]-24.0003400494014[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]231.125498223689[/C][C]-22.1254982236889[/C][/ROW]
[ROW][C]46[/C][C]171[/C][C]230.358773522514[/C][C]-59.3587735225142[/C][/ROW]
[ROW][C]47[/C][C]117[/C][C]217.546893835508[/C][C]-100.546893835508[/C][/ROW]
[ROW][C]48[/C][C]10[/C][C]189.329212435279[/C][C]-179.329212435279[/C][/ROW]
[ROW][C]49[/C][C]339[/C][C]132.419276436869[/C][C]206.580723563131[/C][/ROW]
[ROW][C]50[/C][C]139[/C][C]175.971746422231[/C][C]-36.971746422231[/C][/ROW]
[ROW][C]51[/C][C]186[/C][C]161.693923332482[/C][C]24.3060766675177[/C][/ROW]
[ROW][C]52[/C][C]155[/C][C]162.861390060326[/C][C]-7.86139006032582[/C][/ROW]
[ROW][C]53[/C][C]153[/C][C]156.213161025272[/C][C]-3.21316102527237[/C][/ROW]
[ROW][C]54[/C][C]222[/C][C]150.434824539339[/C][C]71.5651754606609[/C][/ROW]
[ROW][C]55[/C][C]102[/C][C]166.004753071299[/C][C]-64.0047530712989[/C][/ROW]
[ROW][C]56[/C][C]107[/C][C]146.793427780951[/C][C]-39.7934277809512[/C][/ROW]
[ROW][C]57[/C][C]188[/C][C]130.737480947556[/C][C]57.2625190524437[/C][/ROW]
[ROW][C]58[/C][C]162[/C][C]140.264396928109[/C][C]21.7356030718909[/C][/ROW]
[ROW][C]59[/C][C]185[/C][C]142.974205571556[/C][C]42.0257944284437[/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]115.970189421364[/C][C]278.029810578636[/C][/ROW]
[ROW][C]62[/C][C]209[/C][C]188.62387438121[/C][C]20.3761256187897[/C][/ROW]
[ROW][C]63[/C][C]248[/C][C]203.648266309945[/C][C]44.3517336900549[/C][/ROW]
[ROW][C]64[/C][C]254[/C][C]226.794556537069[/C][C]27.2054434629308[/C][/ROW]
[ROW][C]65[/C][C]202[/C][C]247.647999896514[/C][C]-45.6479998965138[/C][/ROW]
[ROW][C]66[/C][C]258[/C][C]249.13909768853[/C][C]8.86090231146983[/C][/ROW]
[ROW][C]67[/C][C]215[/C][C]263.608039590251[/C][C]-48.608039590251[/C][/ROW]
[ROW][C]68[/C][C]309[/C][C]262.051665598335[/C][C]46.9483344016645[/C][/ROW]
[ROW][C]69[/C][C]240[/C][C]285.120294619214[/C][C]-45.1202946192138[/C][/ROW]
[ROW][C]70[/C][C]258[/C][C]284.469545897951[/C][C]-26.4695458979509[/C][/ROW]
[ROW][C]71[/C][C]276[/C][C]286.499150094751[/C][C]-10.4991500947511[/C][/ROW]
[ROW][C]72[/C][C]48[/C][C]291.549789041019[/C][C]-243.549789041019[/C][/ROW]
[ROW][C]73[/C][C]455[/C][C]228.843555696572[/C][C]226.156444303428[/C][/ROW]
[ROW][C]74[/C][C]345[/C][C]286.905738757439[/C][C]58.0942612425605[/C][/ROW]
[ROW][C]75[/C][C]311[/C][C]310.050625377328[/C][C]0.949374622671598[/C][/ROW]
[ROW][C]76[/C][C]346[/C][C]320.200951629011[/C][C]25.7990483709889[/C][/ROW]
[ROW][C]77[/C][C]310[/C][C]337.565892923815[/C][C]-27.5658929238145[/C][/ROW]
[ROW][C]78[/C][C]297[/C][C]341.098260676196[/C][C]-44.0982606761955[/C][/ROW]
[ROW][C]79[/C][C]300[/C][C]338.223799419172[/C][C]-38.2237994191722[/C][/ROW]
[ROW][C]80[/C][C]274[/C][C]334.410446793861[/C][C]-60.4104467938605[/C][/ROW]
[ROW][C]81[/C][C]292[/C][C]321.925661528421[/C][C]-29.9256615284207[/C][/ROW]
[ROW][C]82[/C][C]304[/C][C]314.617778096986[/C][C]-10.6177780969858[/C][/ROW]
[ROW][C]83[/C][C]186[/C][C]311.086093633405[/C][C]-125.086093633405[/C][/ROW]
[ROW][C]84[/C][C]14[/C][C]273.948211762829[/C][C]-259.948211762829[/C][/ROW]
[ROW][C]85[/C][C]321[/C][C]190.500152097098[/C][C]130.499847902902[/C][/ROW]
[ROW][C]86[/C][C]206[/C][C]204.011735999003[/C][C]1.98826400099745[/C][/ROW]
[ROW][C]87[/C][C]160[/C][C]188.291449847154[/C][C]-28.2914498471538[/C][/ROW]
[ROW][C]88[/C][C]217[/C][C]163.967688770582[/C][C]53.0323112294184[/C][/ROW]
[ROW][C]89[/C][C]204[/C][C]161.38136202123[/C][C]42.6186379787702[/C][/ROW]
[ROW][C]90[/C][C]246[/C][C]158.959434723965[/C][C]87.0405652760348[/C][/ROW]
[ROW][C]91[/C][C]234[/C][C]171.876043246291[/C][C]62.1239567537088[/C][/ROW]
[ROW][C]92[/C][C]175[/C][C]182.808502019468[/C][C]-7.80850201946836[/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]227.359718714975[/C][C]100.640281285025[/C][/ROW]
[ROW][C]95[/C][C]158[/C][C]263.766352855365[/C][C]-105.766352855365[/C][/ROW]
[ROW][C]96[/C][C]40[/C][C]246.721860570489[/C][C]-206.721860570489[/C][/ROW]
[ROW][C]97[/C][C]556[/C][C]194.286696474316[/C][C]361.713303525684[/C][/ROW]
[ROW][C]98[/C][C]193[/C][C]293.256178066123[/C][C]-100.256178066123[/C][/ROW]
[ROW][C]99[/C][C]221[/C][C]280.735814687492[/C][C]-59.7358146874919[/C][/ROW]
[ROW][C]100[/C][C]278[/C][C]273.905794261987[/C][C]4.09420573801333[/C][/ROW]
[ROW][C]101[/C][C]230[/C][C]281.898053399819[/C][C]-51.8980533998187[/C][/ROW]
[ROW][C]102[/C][C]253[/C][C]274.005961004518[/C][C]-21.0059610045178[/C][/ROW]
[ROW][C]103[/C][C]240[/C][C]271.915970788392[/C][C]-31.9159707883923[/C][/ROW]
[ROW][C]104[/C][C]252[/C][C]265.43006257382[/C][C]-13.4300625738205[/C][/ROW]
[ROW][C]105[/C][C]228[/C][C]262.364834703686[/C][C]-34.3648347036863[/C][/ROW]
[ROW][C]106[/C][C]306[/C][C]252.468047387968[/C][C]53.5319526120319[/C][/ROW]
[ROW][C]107[/C][C]206[/C][C]265.839704436897[/C][C]-59.8397044368966[/C][/ROW]
[ROW][C]108[/C][C]48[/C][C]249.74842455404[/C][C]-201.74842455404[/C][/ROW]
[ROW][C]109[/C][C]557[/C][C]189.209983282009[/C][C]367.790016717991[/C][/ROW]
[ROW][C]110[/C][C]279[/C][C]280.690717985967[/C][C]-1.69071798596707[/C][/ROW]
[ROW][C]111[/C][C]399[/C][C]287.685635520064[/C][C]111.314364479936[/C][/ROW]
[ROW][C]112[/C][C]364[/C][C]327.130902663831[/C][C]36.8690973361689[/C][/ROW]
[ROW][C]113[/C][C]306[/C][C]351.773490460751[/C][C]-45.7734904607506[/C][/ROW]
[ROW][C]114[/C][C]471[/C][C]354.810523012472[/C][C]116.189476987528[/C][/ROW]
[ROW][C]115[/C][C]293[/C][C]401.770159621389[/C][C]-108.770159621389[/C][/ROW]
[ROW][C]116[/C][C]333[/C][C]390.862171596804[/C][C]-57.8621715968039[/C][/ROW]
[ROW][C]117[/C][C]316[/C][C]388.128721931606[/C][C]-72.1287219316059[/C][/ROW]
[ROW][C]118[/C][C]329[/C][C]377.833546538802[/C][C]-48.8335465388018[/C][/ROW]
[ROW][C]119[/C][C]265[/C][C]369.945151190335[/C][C]-104.945151190335[/C][/ROW]
[ROW][C]120[/C][C]61[/C][C]342.980196949517[/C][C]-281.980196949517[/C][/ROW]
[ROW][C]121[/C][C]679[/C][C]258.758781986765[/C][C]420.241218013235[/C][/ROW]
[ROW][C]122[/C][C]428[/C][C]359.989131313533[/C][C]68.0108686864666[/C][/ROW]
[ROW][C]123[/C][C]394[/C][C]384.83205090641[/C][C]9.16794909359021[/C][/ROW]
[ROW][C]124[/C][C]352[/C][C]396.782944886711[/C][C]-44.7829448867107[/C][/ROW]
[ROW][C]125[/C][C]387[/C][C]393.740219408674[/C][C]-6.74021940867379[/C][/ROW]
[ROW][C]126[/C][C]590[/C][C]398.983851755501[/C][C]191.016148244499[/C][/ROW]
[ROW][C]127[/C][C]177[/C][C]460.789254596998[/C][C]-283.789254596998[/C][/ROW]
[ROW][C]128[/C][C]199[/C][C]397.223104457089[/C][C]-198.223104457089[/C][/ROW]
[ROW][C]129[/C][C]203[/C][C]341.372641177304[/C][C]-138.372641177304[/C][/ROW]
[ROW][C]130[/C][C]255[/C][C]290.935571656804[/C][C]-35.9355716568039[/C][/ROW]
[ROW][C]131[/C][C]261[/C][C]261.749868526561[/C][C]-0.749868526561443[/C][/ROW]
[ROW][C]132[/C][C]115[/C][C]240.555416223098[/C][C]-125.555416223098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234796&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234796&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
412397.472968318808925.5270316811911
516251.9596518676394110.040348132361
614532.3134976144323112.686502385568
714519.9949106070308125.005089392969
816117.9479219913812143.052078008619
915528.5575675294255126.442432470575
1017342.9177082589452130.082291741055
1116065.870251878611394.1297481213887
124786.227733575001-39.227733575001
1323273.787529539614158.212470460386
14143115.87972141761527.120278582385
15161129.65011549864131.3498845013595
16159146.25692948200612.7430705179937
17243159.37446167777783.6255383222229
18192193.670047191391-1.67004719139129
19157208.38550958321-51.38550958321
20143208.680745033889-65.6807450338888
21221201.79240922461719.2075907753834
22227215.43752850473311.5624714952672
23132228.026446759888-96.0264467598884
2441210.314125397528-169.314125397528
25273165.761989319332107.238010680668
26182190.769169901856-8.76916990185623
27188188.75851430399-0.758514303989955
28162188.532140577816-26.5321405778165
29140180.836393696549-40.8363936965491
30186167.43730516564618.5626948343543
31178168.7117586071389.28824139286192
32236168.42220330538267.5777966946182
33202185.47717517974216.5228248202576
34184191.857608905816-7.85760890581622
35119192.2010368891-73.2010368890999
3616173.25341873018-157.25341873018
37340125.727035702122214.272964297878
38151175.83697097258-24.8369709725799
39240169.85523192150470.1447680784963
40235189.75122557846645.2487744215341
41174206.660953259776-32.6609532597756
42309203.828387492729105.171612507271
43174238.749973938657-64.7499739386572
44207231.000340049401-24.0003400494014
45209231.125498223689-22.1254982236889
46171230.358773522514-59.3587735225142
47117217.546893835508-100.546893835508
4810189.329212435279-179.329212435279
49339132.419276436869206.580723563131
50139175.971746422231-36.971746422231
51186161.69392333248224.3060766675177
52155162.861390060326-7.86139006032582
53153156.213161025272-3.21316102527237
54222150.43482453933971.5651754606609
55102166.004753071299-64.0047530712989
56107146.793427780951-39.7934277809512
57188130.73748094755657.2625190524437
58162140.26439692810921.7356030718909
59185142.97420557155642.0257944284437
6024152.825435211719-128.825435211719
61394115.970189421364278.029810578636
62209188.6238743812120.3761256187897
63248203.64826630994544.3517336900549
64254226.79455653706927.2054434629308
65202247.647999896514-45.6479998965138
66258249.139097688538.86090231146983
67215263.608039590251-48.608039590251
68309262.05166559833546.9483344016645
69240285.120294619214-45.1202946192138
70258284.469545897951-26.4695458979509
71276286.499150094751-10.4991500947511
7248291.549789041019-243.549789041019
73455228.843555696572226.156444303428
74345286.90573875743958.0942612425605
75311310.0506253773280.949374622671598
76346320.20095162901125.7990483709889
77310337.565892923815-27.5658929238145
78297341.098260676196-44.0982606761955
79300338.223799419172-38.2237994191722
80274334.410446793861-60.4104467938605
81292321.925661528421-29.9256615284207
82304314.617778096986-10.6177780969858
83186311.086093633405-125.086093633405
8414273.948211762829-259.948211762829
85321190.500152097098130.499847902902
86206204.0117359990031.98826400099745
87160188.291449847154-28.2914498471538
88217163.96768877058253.0323112294184
89204161.3813620212342.6186379787702
90246158.95943472396587.0405652760348
91234171.87604324629162.1239567537088
92175182.808502019468-7.80850201946836
93364177.303351757678186.696648242322
94328227.359718714975100.640281285025
95158263.766352855365-105.766352855365
9640246.721860570489-206.721860570489
97556194.286696474316361.713303525684
98193293.256178066123-100.256178066123
99221280.735814687492-59.7358146874919
100278273.9057942619874.09420573801333
101230281.898053399819-51.8980533998187
102253274.005961004518-21.0059610045178
103240271.915970788392-31.9159707883923
104252265.43006257382-13.4300625738205
105228262.364834703686-34.3648347036863
106306252.46804738796853.5319526120319
107206265.839704436897-59.8397044368966
10848249.74842455404-201.74842455404
109557189.209983282009367.790016717991
110279280.690717985967-1.69071798596707
111399287.685635520064111.314364479936
112364327.13090266383136.8690973361689
113306351.773490460751-45.7734904607506
114471354.810523012472116.189476987528
115293401.770159621389-108.770159621389
116333390.862171596804-57.8621715968039
117316388.128721931606-72.1287219316059
118329377.833546538802-48.8335465388018
119265369.945151190335-104.945151190335
12061342.980196949517-281.980196949517
121679258.758781986765420.241218013235
122428359.98913131353368.0108686864666
123394384.832050906419.16794909359021
124352396.782944886711-44.7829448867107
125387393.740219408674-6.74021940867379
126590398.983851755501191.016148244499
127177460.789254596998-283.789254596998
128199397.223104457089-198.223104457089
129203341.372641177304-138.372641177304
130255290.935571656804-35.9355716568039
131261261.749868526561-0.749868526561443
132115240.555416223098-125.555416223098







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133183.365866150544-42.0991620587361408.830894359824
134154.851658929021-79.7807905807881389.484108438829
135126.337451707497-121.045914632952373.720818047946
13697.8232444859734-166.060855601517361.707344573464
13769.3090372644498-214.809177517396353.427252046296
13840.7948300429262-267.142604534524348.732264620377
13912.2806228214027-322.836726484231347.397972127037
140-16.2335844001209-381.636911070794349.169742270552
141-44.7477916216444-443.289172434123353.793589190834
142-73.261998843168-507.557370262315361.033372575979
143-101.776206064692-574.230660998944370.678248869561
144-130.290413286215-643.12505317513382.544226602699

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 183.365866150544 & -42.0991620587361 & 408.830894359824 \tabularnewline
134 & 154.851658929021 & -79.7807905807881 & 389.484108438829 \tabularnewline
135 & 126.337451707497 & -121.045914632952 & 373.720818047946 \tabularnewline
136 & 97.8232444859734 & -166.060855601517 & 361.707344573464 \tabularnewline
137 & 69.3090372644498 & -214.809177517396 & 353.427252046296 \tabularnewline
138 & 40.7948300429262 & -267.142604534524 & 348.732264620377 \tabularnewline
139 & 12.2806228214027 & -322.836726484231 & 347.397972127037 \tabularnewline
140 & -16.2335844001209 & -381.636911070794 & 349.169742270552 \tabularnewline
141 & -44.7477916216444 & -443.289172434123 & 353.793589190834 \tabularnewline
142 & -73.261998843168 & -507.557370262315 & 361.033372575979 \tabularnewline
143 & -101.776206064692 & -574.230660998944 & 370.678248869561 \tabularnewline
144 & -130.290413286215 & -643.12505317513 & 382.544226602699 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234796&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]183.365866150544[/C][C]-42.0991620587361[/C][C]408.830894359824[/C][/ROW]
[ROW][C]134[/C][C]154.851658929021[/C][C]-79.7807905807881[/C][C]389.484108438829[/C][/ROW]
[ROW][C]135[/C][C]126.337451707497[/C][C]-121.045914632952[/C][C]373.720818047946[/C][/ROW]
[ROW][C]136[/C][C]97.8232444859734[/C][C]-166.060855601517[/C][C]361.707344573464[/C][/ROW]
[ROW][C]137[/C][C]69.3090372644498[/C][C]-214.809177517396[/C][C]353.427252046296[/C][/ROW]
[ROW][C]138[/C][C]40.7948300429262[/C][C]-267.142604534524[/C][C]348.732264620377[/C][/ROW]
[ROW][C]139[/C][C]12.2806228214027[/C][C]-322.836726484231[/C][C]347.397972127037[/C][/ROW]
[ROW][C]140[/C][C]-16.2335844001209[/C][C]-381.636911070794[/C][C]349.169742270552[/C][/ROW]
[ROW][C]141[/C][C]-44.7477916216444[/C][C]-443.289172434123[/C][C]353.793589190834[/C][/ROW]
[ROW][C]142[/C][C]-73.261998843168[/C][C]-507.557370262315[/C][C]361.033372575979[/C][/ROW]
[ROW][C]143[/C][C]-101.776206064692[/C][C]-574.230660998944[/C][C]370.678248869561[/C][/ROW]
[ROW][C]144[/C][C]-130.290413286215[/C][C]-643.12505317513[/C][C]382.544226602699[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234796&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234796&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
133183.365866150544-42.0991620587361408.830894359824
134154.851658929021-79.7807905807881389.484108438829
135126.337451707497-121.045914632952373.720818047946
13697.8232444859734-166.060855601517361.707344573464
13769.3090372644498-214.809177517396353.427252046296
13840.7948300429262-267.142604534524348.732264620377
13912.2806228214027-322.836726484231347.397972127037
140-16.2335844001209-381.636911070794349.169742270552
141-44.7477916216444-443.289172434123353.793589190834
142-73.261998843168-507.557370262315361.033372575979
143-101.776206064692-574.230660998944370.678248869561
144-130.290413286215-643.12505317513382.544226602699



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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')