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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 10 Nov 2012 09:36:53 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/10/t1352558240xx6mxjrbhvdsoi3.htm/, Retrieved Wed, 24 Apr 2024 18:33:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=187356, Retrieved Wed, 24 Apr 2024 18:33:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:56:43] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
236.422
250.580
279.515
264.417
283.706
281.288
271.146
283.944
269.155
270.899
276.507
319.957
250.746
247.772
280.449
274.925
296.013
287.881
279.098
294.763
261.924
291.596
287.537
326.201
255.598
253.086
285.261
284.747
300.402
288.854
295.433
307.256
273.189
287.540
290.705
337.006
268.335
259.060
293.703
294.262
312.404
301.014
309.942
317.079
293.912
304.060
301.299
357.634
281.493
282.478
319.111
315.223
328.445
321.081
328.040
326.362
313.566
319.768
324.315
387.243
293.308
295.109
339.190
335.678
345.401
351.002
351.889
355.773
333.363
336.214
343.910
405.788
318.682
314.189
362.141
351.811
373.727
366.795
362.393
376.006
346.423
349.007
357.224
418.473
329.169
323.456
374.439
358.806
391.816
376.944
372.665
388.357
354.241
368.982
378.233
426.699
343.241
344.577
373.623
369.688
398.816
379.387
384.666
383.879
351.578
350.920
336.629
385.504
311.330
300.545
329.718
331.023
348.944
345.650
349.260
354.597
325.769
339.734
340.543
401.585
315.998
312.327
362.217
358.067
367.321
360.372
363.830
364.525
347.945
357.404
368.182
429.343




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187356&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]3 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=187356&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187356&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.109214153332466
beta0
gamma0.19831366914627

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.109214153332466 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.19831366914627 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187356&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]0.109214153332466[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.19831366914627[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187356&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187356&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
alpha0.109214153332466
beta0
gamma0.19831366914627







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
12319.957318.0634965034961.89350349650351
13250.746248.1448854295182.60111457048197
14247.772246.5024645907821.26953540921812
15280.449277.5970710068082.85192899319236
16274.925273.8074062892551.11759371074498
17296.013292.2331457940533.77985420594655
18287.881273.49727818842214.3837218115779
19279.098288.458048459935-9.36004845993483
20294.763276.13948114614218.6235188538581
21261.924279.066933625565-17.1429336255651
22291.596284.207910552477.38808944753038
23287.537328.067610182269-40.5306101822691
24326.201253.64068849310472.5603115068962
25255.598259.40357198598-3.80557198597967
26253.086290.223442598656-37.1374425986561
27285.261281.75999350433.50100649570021
28284.747300.916337071989-16.1693370719893
29300.402281.87496176574918.5270382342512
30288.854293.093784865289-4.23978486528858
31295.433286.2778601594179.15513984058316
32307.256281.85290863263825.4030913673617
33273.189295.974041775152-22.785041775152
34287.54328.073330078303-40.5333300783034
35290.705273.62418920328617.0808107967138
36337.006259.83751011142677.1684898885744
37268.335293.612652408014-25.2776524080138
38259.06293.623445876019-34.5634458760187
39293.703305.147747772582-11.4447477725824
40294.262292.7516530019731.51034699802653
41312.404298.09013922068314.3138607793167
42301.014295.6668157686465.34718423135445
43309.942293.69626362825916.2457363717409
44317.079298.30460887159218.7743911284077
45293.912331.807451410354-37.8954514103542
46304.06287.82423083441316.2357691655869
47301.299284.56005076767216.7389492323284
48357.634293.63780768652463.9961923134757
49281.493301.758186585579-20.2651865855792
50282.478318.92809460184-36.4500946018401
51319.111306.08964444054713.0213555594528
52315.223314.9471005642190.27589943578073
53328.445309.4066247171919.0383752828104
54321.081310.85662824941810.2243717505825
55328.04315.25405478425212.7859452157484
56326.362338.091862690851-11.729862690851
57313.566306.5288460279847.03715397201626
58319.768302.34893627060417.4190637293956
59324.315319.8492000521944.46579994780564
60387.243306.5828228467480.66017715326
61293.308331.916063931288-38.6080639312884
62295.109327.581312483701-32.4723124837014
63339.19329.2186674951979.97133250480277
64335.678328.0515555142997.62644448570097
65345.401326.6981768073618.7028231926399
66351.002332.47408502328418.5279149767159
67351.889351.6081570128280.280842987172036
68355.773324.67216691168431.1008330883163
69333.363324.9543678637028.40863213629751
70336.214339.182306049017-2.96830604901697
71343.91338.5641376938385.34586230616219
72405.788334.60265736569171.1853426343092
73318.682343.342811088997-24.660811088997
74314.189353.331175127708-39.1421751277085
75362.141346.38593677783415.7550632221661
76351.811347.8770160716123.93398392838787
77373.727352.00905959901121.7179404009889
78366.795368.268090835501-1.47309083550061
79362.393346.5850519864515.8079480135498
80376.006341.18836246426434.8176375357356
81346.423356.290744689419-9.86774468941871
82349.007356.387799475893-7.38079947589256
83357.224362.667261590915-5.44326159091491
84418.473346.10678396929772.366216030703
85329.169364.133667120869-34.9646671208695
86323.456367.342543942895-43.8865439428955
87374.439360.23166272972814.2073372702717
88358.806368.627326846995-9.82132684699496
89391.816377.34501186678614.4709881332136
90376.944360.45607418806416.4879258119362
91372.665358.49180475189714.173195248103
92388.357363.44562506221724.911374937783
93354.241367.780383283184-13.539383283184
94368.982373.729516655785-4.74751665578469
95378.233370.990458250347.24254174966023
96426.699362.94437625171263.7546237482878
97343.241375.35870260727-32.1177026072697
98344.577379.795720584117-35.2187205841174
99373.623378.548575748113-4.92557574811337
100369.688392.092305216982-22.4043052169818
101398.816371.53236574128227.2836342587175
102379.387370.3382317126039.04876828739674
103384.666376.6293453080818.03665469191907
104383.879372.32862617909111.5503738209088
105351.578382.571043415268-30.9930434152678
106350.92379.083705909653-28.1637059096534
107336.629377.153902942524-40.5249029425243
108385.504361.24310234061324.2608976593868
109311.33371.289651050947-59.9596510509473
110300.545372.691882235478-72.146882235478
111329.718375.806388506976-46.0883885069759
112331.023361.437435356175-30.4144353561746
113348.944350.720575080979-1.7765750809794
114345.65355.650613028944-10.0006130289441
115349.26350.00068506412-0.740685064120441
116354.597351.3852369270933.21176307290654
117325.769352.133365046417-26.3643650464174
118339.734348.216408186772-8.48240818677192
119340.543347.249837752482-6.70683775248159
120401.585339.03628961182562.5487103881748
121315.998351.665232324248-35.667232324248
122312.327363.367196136422-51.0401961364216
123362.217351.22631785342410.9906821465756
124358.067350.0905039139447.97649608605639
125367.321354.63289776853212.6881022314678
126360.372353.0967112953037.27528870469729
127363.83356.0549407104647.77505928953639
128364.525352.07667416338812.4483258366117
129347.945355.557549739158-7.6125497391576
130357.404354.9996435709932.40435642900707
131368.182360.0155063156348.16649368436595
132429.343349.35480296418779.988197035813

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
12 & 319.957 & 318.063496503496 & 1.89350349650351 \tabularnewline
13 & 250.746 & 248.144885429518 & 2.60111457048197 \tabularnewline
14 & 247.772 & 246.502464590782 & 1.26953540921812 \tabularnewline
15 & 280.449 & 277.597071006808 & 2.85192899319236 \tabularnewline
16 & 274.925 & 273.807406289255 & 1.11759371074498 \tabularnewline
17 & 296.013 & 292.233145794053 & 3.77985420594655 \tabularnewline
18 & 287.881 & 273.497278188422 & 14.3837218115779 \tabularnewline
19 & 279.098 & 288.458048459935 & -9.36004845993483 \tabularnewline
20 & 294.763 & 276.139481146142 & 18.6235188538581 \tabularnewline
21 & 261.924 & 279.066933625565 & -17.1429336255651 \tabularnewline
22 & 291.596 & 284.20791055247 & 7.38808944753038 \tabularnewline
23 & 287.537 & 328.067610182269 & -40.5306101822691 \tabularnewline
24 & 326.201 & 253.640688493104 & 72.5603115068962 \tabularnewline
25 & 255.598 & 259.40357198598 & -3.80557198597967 \tabularnewline
26 & 253.086 & 290.223442598656 & -37.1374425986561 \tabularnewline
27 & 285.261 & 281.7599935043 & 3.50100649570021 \tabularnewline
28 & 284.747 & 300.916337071989 & -16.1693370719893 \tabularnewline
29 & 300.402 & 281.874961765749 & 18.5270382342512 \tabularnewline
30 & 288.854 & 293.093784865289 & -4.23978486528858 \tabularnewline
31 & 295.433 & 286.277860159417 & 9.15513984058316 \tabularnewline
32 & 307.256 & 281.852908632638 & 25.4030913673617 \tabularnewline
33 & 273.189 & 295.974041775152 & -22.785041775152 \tabularnewline
34 & 287.54 & 328.073330078303 & -40.5333300783034 \tabularnewline
35 & 290.705 & 273.624189203286 & 17.0808107967138 \tabularnewline
36 & 337.006 & 259.837510111426 & 77.1684898885744 \tabularnewline
37 & 268.335 & 293.612652408014 & -25.2776524080138 \tabularnewline
38 & 259.06 & 293.623445876019 & -34.5634458760187 \tabularnewline
39 & 293.703 & 305.147747772582 & -11.4447477725824 \tabularnewline
40 & 294.262 & 292.751653001973 & 1.51034699802653 \tabularnewline
41 & 312.404 & 298.090139220683 & 14.3138607793167 \tabularnewline
42 & 301.014 & 295.666815768646 & 5.34718423135445 \tabularnewline
43 & 309.942 & 293.696263628259 & 16.2457363717409 \tabularnewline
44 & 317.079 & 298.304608871592 & 18.7743911284077 \tabularnewline
45 & 293.912 & 331.807451410354 & -37.8954514103542 \tabularnewline
46 & 304.06 & 287.824230834413 & 16.2357691655869 \tabularnewline
47 & 301.299 & 284.560050767672 & 16.7389492323284 \tabularnewline
48 & 357.634 & 293.637807686524 & 63.9961923134757 \tabularnewline
49 & 281.493 & 301.758186585579 & -20.2651865855792 \tabularnewline
50 & 282.478 & 318.92809460184 & -36.4500946018401 \tabularnewline
51 & 319.111 & 306.089644440547 & 13.0213555594528 \tabularnewline
52 & 315.223 & 314.947100564219 & 0.27589943578073 \tabularnewline
53 & 328.445 & 309.40662471719 & 19.0383752828104 \tabularnewline
54 & 321.081 & 310.856628249418 & 10.2243717505825 \tabularnewline
55 & 328.04 & 315.254054784252 & 12.7859452157484 \tabularnewline
56 & 326.362 & 338.091862690851 & -11.729862690851 \tabularnewline
57 & 313.566 & 306.528846027984 & 7.03715397201626 \tabularnewline
58 & 319.768 & 302.348936270604 & 17.4190637293956 \tabularnewline
59 & 324.315 & 319.849200052194 & 4.46579994780564 \tabularnewline
60 & 387.243 & 306.58282284674 & 80.66017715326 \tabularnewline
61 & 293.308 & 331.916063931288 & -38.6080639312884 \tabularnewline
62 & 295.109 & 327.581312483701 & -32.4723124837014 \tabularnewline
63 & 339.19 & 329.218667495197 & 9.97133250480277 \tabularnewline
64 & 335.678 & 328.051555514299 & 7.62644448570097 \tabularnewline
65 & 345.401 & 326.69817680736 & 18.7028231926399 \tabularnewline
66 & 351.002 & 332.474085023284 & 18.5279149767159 \tabularnewline
67 & 351.889 & 351.608157012828 & 0.280842987172036 \tabularnewline
68 & 355.773 & 324.672166911684 & 31.1008330883163 \tabularnewline
69 & 333.363 & 324.954367863702 & 8.40863213629751 \tabularnewline
70 & 336.214 & 339.182306049017 & -2.96830604901697 \tabularnewline
71 & 343.91 & 338.564137693838 & 5.34586230616219 \tabularnewline
72 & 405.788 & 334.602657365691 & 71.1853426343092 \tabularnewline
73 & 318.682 & 343.342811088997 & -24.660811088997 \tabularnewline
74 & 314.189 & 353.331175127708 & -39.1421751277085 \tabularnewline
75 & 362.141 & 346.385936777834 & 15.7550632221661 \tabularnewline
76 & 351.811 & 347.877016071612 & 3.93398392838787 \tabularnewline
77 & 373.727 & 352.009059599011 & 21.7179404009889 \tabularnewline
78 & 366.795 & 368.268090835501 & -1.47309083550061 \tabularnewline
79 & 362.393 & 346.58505198645 & 15.8079480135498 \tabularnewline
80 & 376.006 & 341.188362464264 & 34.8176375357356 \tabularnewline
81 & 346.423 & 356.290744689419 & -9.86774468941871 \tabularnewline
82 & 349.007 & 356.387799475893 & -7.38079947589256 \tabularnewline
83 & 357.224 & 362.667261590915 & -5.44326159091491 \tabularnewline
84 & 418.473 & 346.106783969297 & 72.366216030703 \tabularnewline
85 & 329.169 & 364.133667120869 & -34.9646671208695 \tabularnewline
86 & 323.456 & 367.342543942895 & -43.8865439428955 \tabularnewline
87 & 374.439 & 360.231662729728 & 14.2073372702717 \tabularnewline
88 & 358.806 & 368.627326846995 & -9.82132684699496 \tabularnewline
89 & 391.816 & 377.345011866786 & 14.4709881332136 \tabularnewline
90 & 376.944 & 360.456074188064 & 16.4879258119362 \tabularnewline
91 & 372.665 & 358.491804751897 & 14.173195248103 \tabularnewline
92 & 388.357 & 363.445625062217 & 24.911374937783 \tabularnewline
93 & 354.241 & 367.780383283184 & -13.539383283184 \tabularnewline
94 & 368.982 & 373.729516655785 & -4.74751665578469 \tabularnewline
95 & 378.233 & 370.99045825034 & 7.24254174966023 \tabularnewline
96 & 426.699 & 362.944376251712 & 63.7546237482878 \tabularnewline
97 & 343.241 & 375.35870260727 & -32.1177026072697 \tabularnewline
98 & 344.577 & 379.795720584117 & -35.2187205841174 \tabularnewline
99 & 373.623 & 378.548575748113 & -4.92557574811337 \tabularnewline
100 & 369.688 & 392.092305216982 & -22.4043052169818 \tabularnewline
101 & 398.816 & 371.532365741282 & 27.2836342587175 \tabularnewline
102 & 379.387 & 370.338231712603 & 9.04876828739674 \tabularnewline
103 & 384.666 & 376.629345308081 & 8.03665469191907 \tabularnewline
104 & 383.879 & 372.328626179091 & 11.5503738209088 \tabularnewline
105 & 351.578 & 382.571043415268 & -30.9930434152678 \tabularnewline
106 & 350.92 & 379.083705909653 & -28.1637059096534 \tabularnewline
107 & 336.629 & 377.153902942524 & -40.5249029425243 \tabularnewline
108 & 385.504 & 361.243102340613 & 24.2608976593868 \tabularnewline
109 & 311.33 & 371.289651050947 & -59.9596510509473 \tabularnewline
110 & 300.545 & 372.691882235478 & -72.146882235478 \tabularnewline
111 & 329.718 & 375.806388506976 & -46.0883885069759 \tabularnewline
112 & 331.023 & 361.437435356175 & -30.4144353561746 \tabularnewline
113 & 348.944 & 350.720575080979 & -1.7765750809794 \tabularnewline
114 & 345.65 & 355.650613028944 & -10.0006130289441 \tabularnewline
115 & 349.26 & 350.00068506412 & -0.740685064120441 \tabularnewline
116 & 354.597 & 351.385236927093 & 3.21176307290654 \tabularnewline
117 & 325.769 & 352.133365046417 & -26.3643650464174 \tabularnewline
118 & 339.734 & 348.216408186772 & -8.48240818677192 \tabularnewline
119 & 340.543 & 347.249837752482 & -6.70683775248159 \tabularnewline
120 & 401.585 & 339.036289611825 & 62.5487103881748 \tabularnewline
121 & 315.998 & 351.665232324248 & -35.667232324248 \tabularnewline
122 & 312.327 & 363.367196136422 & -51.0401961364216 \tabularnewline
123 & 362.217 & 351.226317853424 & 10.9906821465756 \tabularnewline
124 & 358.067 & 350.090503913944 & 7.97649608605639 \tabularnewline
125 & 367.321 & 354.632897768532 & 12.6881022314678 \tabularnewline
126 & 360.372 & 353.096711295303 & 7.27528870469729 \tabularnewline
127 & 363.83 & 356.054940710464 & 7.77505928953639 \tabularnewline
128 & 364.525 & 352.076674163388 & 12.4483258366117 \tabularnewline
129 & 347.945 & 355.557549739158 & -7.6125497391576 \tabularnewline
130 & 357.404 & 354.999643570993 & 2.40435642900707 \tabularnewline
131 & 368.182 & 360.015506315634 & 8.16649368436595 \tabularnewline
132 & 429.343 & 349.354802964187 & 79.988197035813 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187356&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]12[/C][C]319.957[/C][C]318.063496503496[/C][C]1.89350349650351[/C][/ROW]
[ROW][C]13[/C][C]250.746[/C][C]248.144885429518[/C][C]2.60111457048197[/C][/ROW]
[ROW][C]14[/C][C]247.772[/C][C]246.502464590782[/C][C]1.26953540921812[/C][/ROW]
[ROW][C]15[/C][C]280.449[/C][C]277.597071006808[/C][C]2.85192899319236[/C][/ROW]
[ROW][C]16[/C][C]274.925[/C][C]273.807406289255[/C][C]1.11759371074498[/C][/ROW]
[ROW][C]17[/C][C]296.013[/C][C]292.233145794053[/C][C]3.77985420594655[/C][/ROW]
[ROW][C]18[/C][C]287.881[/C][C]273.497278188422[/C][C]14.3837218115779[/C][/ROW]
[ROW][C]19[/C][C]279.098[/C][C]288.458048459935[/C][C]-9.36004845993483[/C][/ROW]
[ROW][C]20[/C][C]294.763[/C][C]276.139481146142[/C][C]18.6235188538581[/C][/ROW]
[ROW][C]21[/C][C]261.924[/C][C]279.066933625565[/C][C]-17.1429336255651[/C][/ROW]
[ROW][C]22[/C][C]291.596[/C][C]284.20791055247[/C][C]7.38808944753038[/C][/ROW]
[ROW][C]23[/C][C]287.537[/C][C]328.067610182269[/C][C]-40.5306101822691[/C][/ROW]
[ROW][C]24[/C][C]326.201[/C][C]253.640688493104[/C][C]72.5603115068962[/C][/ROW]
[ROW][C]25[/C][C]255.598[/C][C]259.40357198598[/C][C]-3.80557198597967[/C][/ROW]
[ROW][C]26[/C][C]253.086[/C][C]290.223442598656[/C][C]-37.1374425986561[/C][/ROW]
[ROW][C]27[/C][C]285.261[/C][C]281.7599935043[/C][C]3.50100649570021[/C][/ROW]
[ROW][C]28[/C][C]284.747[/C][C]300.916337071989[/C][C]-16.1693370719893[/C][/ROW]
[ROW][C]29[/C][C]300.402[/C][C]281.874961765749[/C][C]18.5270382342512[/C][/ROW]
[ROW][C]30[/C][C]288.854[/C][C]293.093784865289[/C][C]-4.23978486528858[/C][/ROW]
[ROW][C]31[/C][C]295.433[/C][C]286.277860159417[/C][C]9.15513984058316[/C][/ROW]
[ROW][C]32[/C][C]307.256[/C][C]281.852908632638[/C][C]25.4030913673617[/C][/ROW]
[ROW][C]33[/C][C]273.189[/C][C]295.974041775152[/C][C]-22.785041775152[/C][/ROW]
[ROW][C]34[/C][C]287.54[/C][C]328.073330078303[/C][C]-40.5333300783034[/C][/ROW]
[ROW][C]35[/C][C]290.705[/C][C]273.624189203286[/C][C]17.0808107967138[/C][/ROW]
[ROW][C]36[/C][C]337.006[/C][C]259.837510111426[/C][C]77.1684898885744[/C][/ROW]
[ROW][C]37[/C][C]268.335[/C][C]293.612652408014[/C][C]-25.2776524080138[/C][/ROW]
[ROW][C]38[/C][C]259.06[/C][C]293.623445876019[/C][C]-34.5634458760187[/C][/ROW]
[ROW][C]39[/C][C]293.703[/C][C]305.147747772582[/C][C]-11.4447477725824[/C][/ROW]
[ROW][C]40[/C][C]294.262[/C][C]292.751653001973[/C][C]1.51034699802653[/C][/ROW]
[ROW][C]41[/C][C]312.404[/C][C]298.090139220683[/C][C]14.3138607793167[/C][/ROW]
[ROW][C]42[/C][C]301.014[/C][C]295.666815768646[/C][C]5.34718423135445[/C][/ROW]
[ROW][C]43[/C][C]309.942[/C][C]293.696263628259[/C][C]16.2457363717409[/C][/ROW]
[ROW][C]44[/C][C]317.079[/C][C]298.304608871592[/C][C]18.7743911284077[/C][/ROW]
[ROW][C]45[/C][C]293.912[/C][C]331.807451410354[/C][C]-37.8954514103542[/C][/ROW]
[ROW][C]46[/C][C]304.06[/C][C]287.824230834413[/C][C]16.2357691655869[/C][/ROW]
[ROW][C]47[/C][C]301.299[/C][C]284.560050767672[/C][C]16.7389492323284[/C][/ROW]
[ROW][C]48[/C][C]357.634[/C][C]293.637807686524[/C][C]63.9961923134757[/C][/ROW]
[ROW][C]49[/C][C]281.493[/C][C]301.758186585579[/C][C]-20.2651865855792[/C][/ROW]
[ROW][C]50[/C][C]282.478[/C][C]318.92809460184[/C][C]-36.4500946018401[/C][/ROW]
[ROW][C]51[/C][C]319.111[/C][C]306.089644440547[/C][C]13.0213555594528[/C][/ROW]
[ROW][C]52[/C][C]315.223[/C][C]314.947100564219[/C][C]0.27589943578073[/C][/ROW]
[ROW][C]53[/C][C]328.445[/C][C]309.40662471719[/C][C]19.0383752828104[/C][/ROW]
[ROW][C]54[/C][C]321.081[/C][C]310.856628249418[/C][C]10.2243717505825[/C][/ROW]
[ROW][C]55[/C][C]328.04[/C][C]315.254054784252[/C][C]12.7859452157484[/C][/ROW]
[ROW][C]56[/C][C]326.362[/C][C]338.091862690851[/C][C]-11.729862690851[/C][/ROW]
[ROW][C]57[/C][C]313.566[/C][C]306.528846027984[/C][C]7.03715397201626[/C][/ROW]
[ROW][C]58[/C][C]319.768[/C][C]302.348936270604[/C][C]17.4190637293956[/C][/ROW]
[ROW][C]59[/C][C]324.315[/C][C]319.849200052194[/C][C]4.46579994780564[/C][/ROW]
[ROW][C]60[/C][C]387.243[/C][C]306.58282284674[/C][C]80.66017715326[/C][/ROW]
[ROW][C]61[/C][C]293.308[/C][C]331.916063931288[/C][C]-38.6080639312884[/C][/ROW]
[ROW][C]62[/C][C]295.109[/C][C]327.581312483701[/C][C]-32.4723124837014[/C][/ROW]
[ROW][C]63[/C][C]339.19[/C][C]329.218667495197[/C][C]9.97133250480277[/C][/ROW]
[ROW][C]64[/C][C]335.678[/C][C]328.051555514299[/C][C]7.62644448570097[/C][/ROW]
[ROW][C]65[/C][C]345.401[/C][C]326.69817680736[/C][C]18.7028231926399[/C][/ROW]
[ROW][C]66[/C][C]351.002[/C][C]332.474085023284[/C][C]18.5279149767159[/C][/ROW]
[ROW][C]67[/C][C]351.889[/C][C]351.608157012828[/C][C]0.280842987172036[/C][/ROW]
[ROW][C]68[/C][C]355.773[/C][C]324.672166911684[/C][C]31.1008330883163[/C][/ROW]
[ROW][C]69[/C][C]333.363[/C][C]324.954367863702[/C][C]8.40863213629751[/C][/ROW]
[ROW][C]70[/C][C]336.214[/C][C]339.182306049017[/C][C]-2.96830604901697[/C][/ROW]
[ROW][C]71[/C][C]343.91[/C][C]338.564137693838[/C][C]5.34586230616219[/C][/ROW]
[ROW][C]72[/C][C]405.788[/C][C]334.602657365691[/C][C]71.1853426343092[/C][/ROW]
[ROW][C]73[/C][C]318.682[/C][C]343.342811088997[/C][C]-24.660811088997[/C][/ROW]
[ROW][C]74[/C][C]314.189[/C][C]353.331175127708[/C][C]-39.1421751277085[/C][/ROW]
[ROW][C]75[/C][C]362.141[/C][C]346.385936777834[/C][C]15.7550632221661[/C][/ROW]
[ROW][C]76[/C][C]351.811[/C][C]347.877016071612[/C][C]3.93398392838787[/C][/ROW]
[ROW][C]77[/C][C]373.727[/C][C]352.009059599011[/C][C]21.7179404009889[/C][/ROW]
[ROW][C]78[/C][C]366.795[/C][C]368.268090835501[/C][C]-1.47309083550061[/C][/ROW]
[ROW][C]79[/C][C]362.393[/C][C]346.58505198645[/C][C]15.8079480135498[/C][/ROW]
[ROW][C]80[/C][C]376.006[/C][C]341.188362464264[/C][C]34.8176375357356[/C][/ROW]
[ROW][C]81[/C][C]346.423[/C][C]356.290744689419[/C][C]-9.86774468941871[/C][/ROW]
[ROW][C]82[/C][C]349.007[/C][C]356.387799475893[/C][C]-7.38079947589256[/C][/ROW]
[ROW][C]83[/C][C]357.224[/C][C]362.667261590915[/C][C]-5.44326159091491[/C][/ROW]
[ROW][C]84[/C][C]418.473[/C][C]346.106783969297[/C][C]72.366216030703[/C][/ROW]
[ROW][C]85[/C][C]329.169[/C][C]364.133667120869[/C][C]-34.9646671208695[/C][/ROW]
[ROW][C]86[/C][C]323.456[/C][C]367.342543942895[/C][C]-43.8865439428955[/C][/ROW]
[ROW][C]87[/C][C]374.439[/C][C]360.231662729728[/C][C]14.2073372702717[/C][/ROW]
[ROW][C]88[/C][C]358.806[/C][C]368.627326846995[/C][C]-9.82132684699496[/C][/ROW]
[ROW][C]89[/C][C]391.816[/C][C]377.345011866786[/C][C]14.4709881332136[/C][/ROW]
[ROW][C]90[/C][C]376.944[/C][C]360.456074188064[/C][C]16.4879258119362[/C][/ROW]
[ROW][C]91[/C][C]372.665[/C][C]358.491804751897[/C][C]14.173195248103[/C][/ROW]
[ROW][C]92[/C][C]388.357[/C][C]363.445625062217[/C][C]24.911374937783[/C][/ROW]
[ROW][C]93[/C][C]354.241[/C][C]367.780383283184[/C][C]-13.539383283184[/C][/ROW]
[ROW][C]94[/C][C]368.982[/C][C]373.729516655785[/C][C]-4.74751665578469[/C][/ROW]
[ROW][C]95[/C][C]378.233[/C][C]370.99045825034[/C][C]7.24254174966023[/C][/ROW]
[ROW][C]96[/C][C]426.699[/C][C]362.944376251712[/C][C]63.7546237482878[/C][/ROW]
[ROW][C]97[/C][C]343.241[/C][C]375.35870260727[/C][C]-32.1177026072697[/C][/ROW]
[ROW][C]98[/C][C]344.577[/C][C]379.795720584117[/C][C]-35.2187205841174[/C][/ROW]
[ROW][C]99[/C][C]373.623[/C][C]378.548575748113[/C][C]-4.92557574811337[/C][/ROW]
[ROW][C]100[/C][C]369.688[/C][C]392.092305216982[/C][C]-22.4043052169818[/C][/ROW]
[ROW][C]101[/C][C]398.816[/C][C]371.532365741282[/C][C]27.2836342587175[/C][/ROW]
[ROW][C]102[/C][C]379.387[/C][C]370.338231712603[/C][C]9.04876828739674[/C][/ROW]
[ROW][C]103[/C][C]384.666[/C][C]376.629345308081[/C][C]8.03665469191907[/C][/ROW]
[ROW][C]104[/C][C]383.879[/C][C]372.328626179091[/C][C]11.5503738209088[/C][/ROW]
[ROW][C]105[/C][C]351.578[/C][C]382.571043415268[/C][C]-30.9930434152678[/C][/ROW]
[ROW][C]106[/C][C]350.92[/C][C]379.083705909653[/C][C]-28.1637059096534[/C][/ROW]
[ROW][C]107[/C][C]336.629[/C][C]377.153902942524[/C][C]-40.5249029425243[/C][/ROW]
[ROW][C]108[/C][C]385.504[/C][C]361.243102340613[/C][C]24.2608976593868[/C][/ROW]
[ROW][C]109[/C][C]311.33[/C][C]371.289651050947[/C][C]-59.9596510509473[/C][/ROW]
[ROW][C]110[/C][C]300.545[/C][C]372.691882235478[/C][C]-72.146882235478[/C][/ROW]
[ROW][C]111[/C][C]329.718[/C][C]375.806388506976[/C][C]-46.0883885069759[/C][/ROW]
[ROW][C]112[/C][C]331.023[/C][C]361.437435356175[/C][C]-30.4144353561746[/C][/ROW]
[ROW][C]113[/C][C]348.944[/C][C]350.720575080979[/C][C]-1.7765750809794[/C][/ROW]
[ROW][C]114[/C][C]345.65[/C][C]355.650613028944[/C][C]-10.0006130289441[/C][/ROW]
[ROW][C]115[/C][C]349.26[/C][C]350.00068506412[/C][C]-0.740685064120441[/C][/ROW]
[ROW][C]116[/C][C]354.597[/C][C]351.385236927093[/C][C]3.21176307290654[/C][/ROW]
[ROW][C]117[/C][C]325.769[/C][C]352.133365046417[/C][C]-26.3643650464174[/C][/ROW]
[ROW][C]118[/C][C]339.734[/C][C]348.216408186772[/C][C]-8.48240818677192[/C][/ROW]
[ROW][C]119[/C][C]340.543[/C][C]347.249837752482[/C][C]-6.70683775248159[/C][/ROW]
[ROW][C]120[/C][C]401.585[/C][C]339.036289611825[/C][C]62.5487103881748[/C][/ROW]
[ROW][C]121[/C][C]315.998[/C][C]351.665232324248[/C][C]-35.667232324248[/C][/ROW]
[ROW][C]122[/C][C]312.327[/C][C]363.367196136422[/C][C]-51.0401961364216[/C][/ROW]
[ROW][C]123[/C][C]362.217[/C][C]351.226317853424[/C][C]10.9906821465756[/C][/ROW]
[ROW][C]124[/C][C]358.067[/C][C]350.090503913944[/C][C]7.97649608605639[/C][/ROW]
[ROW][C]125[/C][C]367.321[/C][C]354.632897768532[/C][C]12.6881022314678[/C][/ROW]
[ROW][C]126[/C][C]360.372[/C][C]353.096711295303[/C][C]7.27528870469729[/C][/ROW]
[ROW][C]127[/C][C]363.83[/C][C]356.054940710464[/C][C]7.77505928953639[/C][/ROW]
[ROW][C]128[/C][C]364.525[/C][C]352.076674163388[/C][C]12.4483258366117[/C][/ROW]
[ROW][C]129[/C][C]347.945[/C][C]355.557549739158[/C][C]-7.6125497391576[/C][/ROW]
[ROW][C]130[/C][C]357.404[/C][C]354.999643570993[/C][C]2.40435642900707[/C][/ROW]
[ROW][C]131[/C][C]368.182[/C][C]360.015506315634[/C][C]8.16649368436595[/C][/ROW]
[ROW][C]132[/C][C]429.343[/C][C]349.354802964187[/C][C]79.988197035813[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187356&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187356&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
12319.957318.0634965034961.89350349650351
13250.746248.1448854295182.60111457048197
14247.772246.5024645907821.26953540921812
15280.449277.5970710068082.85192899319236
16274.925273.8074062892551.11759371074498
17296.013292.2331457940533.77985420594655
18287.881273.49727818842214.3837218115779
19279.098288.458048459935-9.36004845993483
20294.763276.13948114614218.6235188538581
21261.924279.066933625565-17.1429336255651
22291.596284.207910552477.38808944753038
23287.537328.067610182269-40.5306101822691
24326.201253.64068849310472.5603115068962
25255.598259.40357198598-3.80557198597967
26253.086290.223442598656-37.1374425986561
27285.261281.75999350433.50100649570021
28284.747300.916337071989-16.1693370719893
29300.402281.87496176574918.5270382342512
30288.854293.093784865289-4.23978486528858
31295.433286.2778601594179.15513984058316
32307.256281.85290863263825.4030913673617
33273.189295.974041775152-22.785041775152
34287.54328.073330078303-40.5333300783034
35290.705273.62418920328617.0808107967138
36337.006259.83751011142677.1684898885744
37268.335293.612652408014-25.2776524080138
38259.06293.623445876019-34.5634458760187
39293.703305.147747772582-11.4447477725824
40294.262292.7516530019731.51034699802653
41312.404298.09013922068314.3138607793167
42301.014295.6668157686465.34718423135445
43309.942293.69626362825916.2457363717409
44317.079298.30460887159218.7743911284077
45293.912331.807451410354-37.8954514103542
46304.06287.82423083441316.2357691655869
47301.299284.56005076767216.7389492323284
48357.634293.63780768652463.9961923134757
49281.493301.758186585579-20.2651865855792
50282.478318.92809460184-36.4500946018401
51319.111306.08964444054713.0213555594528
52315.223314.9471005642190.27589943578073
53328.445309.4066247171919.0383752828104
54321.081310.85662824941810.2243717505825
55328.04315.25405478425212.7859452157484
56326.362338.091862690851-11.729862690851
57313.566306.5288460279847.03715397201626
58319.768302.34893627060417.4190637293956
59324.315319.8492000521944.46579994780564
60387.243306.5828228467480.66017715326
61293.308331.916063931288-38.6080639312884
62295.109327.581312483701-32.4723124837014
63339.19329.2186674951979.97133250480277
64335.678328.0515555142997.62644448570097
65345.401326.6981768073618.7028231926399
66351.002332.47408502328418.5279149767159
67351.889351.6081570128280.280842987172036
68355.773324.67216691168431.1008330883163
69333.363324.9543678637028.40863213629751
70336.214339.182306049017-2.96830604901697
71343.91338.5641376938385.34586230616219
72405.788334.60265736569171.1853426343092
73318.682343.342811088997-24.660811088997
74314.189353.331175127708-39.1421751277085
75362.141346.38593677783415.7550632221661
76351.811347.8770160716123.93398392838787
77373.727352.00905959901121.7179404009889
78366.795368.268090835501-1.47309083550061
79362.393346.5850519864515.8079480135498
80376.006341.18836246426434.8176375357356
81346.423356.290744689419-9.86774468941871
82349.007356.387799475893-7.38079947589256
83357.224362.667261590915-5.44326159091491
84418.473346.10678396929772.366216030703
85329.169364.133667120869-34.9646671208695
86323.456367.342543942895-43.8865439428955
87374.439360.23166272972814.2073372702717
88358.806368.627326846995-9.82132684699496
89391.816377.34501186678614.4709881332136
90376.944360.45607418806416.4879258119362
91372.665358.49180475189714.173195248103
92388.357363.44562506221724.911374937783
93354.241367.780383283184-13.539383283184
94368.982373.729516655785-4.74751665578469
95378.233370.990458250347.24254174966023
96426.699362.94437625171263.7546237482878
97343.241375.35870260727-32.1177026072697
98344.577379.795720584117-35.2187205841174
99373.623378.548575748113-4.92557574811337
100369.688392.092305216982-22.4043052169818
101398.816371.53236574128227.2836342587175
102379.387370.3382317126039.04876828739674
103384.666376.6293453080818.03665469191907
104383.879372.32862617909111.5503738209088
105351.578382.571043415268-30.9930434152678
106350.92379.083705909653-28.1637059096534
107336.629377.153902942524-40.5249029425243
108385.504361.24310234061324.2608976593868
109311.33371.289651050947-59.9596510509473
110300.545372.691882235478-72.146882235478
111329.718375.806388506976-46.0883885069759
112331.023361.437435356175-30.4144353561746
113348.944350.720575080979-1.7765750809794
114345.65355.650613028944-10.0006130289441
115349.26350.00068506412-0.740685064120441
116354.597351.3852369270933.21176307290654
117325.769352.133365046417-26.3643650464174
118339.734348.216408186772-8.48240818677192
119340.543347.249837752482-6.70683775248159
120401.585339.03628961182562.5487103881748
121315.998351.665232324248-35.667232324248
122312.327363.367196136422-51.0401961364216
123362.217351.22631785342410.9906821465756
124358.067350.0905039139447.97649608605639
125367.321354.63289776853212.6881022314678
126360.372353.0967112953037.27528870469729
127363.83356.0549407104647.77505928953639
128364.525352.07667416338812.4483258366117
129347.945355.557549739158-7.6125497391576
130357.404354.9996435709932.40435642900707
131368.182360.0155063156348.16649368436595
132429.343349.35480296418779.988197035813







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133370.972265501231314.075241776786427.869289225676
134375.363764428502318.128420357055432.59910849995
135372.49514137615314.923465065191430.06681768711
136376.998717793349319.092662708143434.904772878554
137373.120610351566314.882096309673431.35912439346
138375.372562248095316.803476374362433.941648121828
139371.370705130697312.472902774737430.268507486656
140369.948193170863310.723498788886429.17288755284
141371.991221833224312.441429835976431.541013830473
142377.762405238763317.889280807241437.635529670285
143378.897468894394318.70274876489439.092189023899

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 370.972265501231 & 314.075241776786 & 427.869289225676 \tabularnewline
134 & 375.363764428502 & 318.128420357055 & 432.59910849995 \tabularnewline
135 & 372.49514137615 & 314.923465065191 & 430.06681768711 \tabularnewline
136 & 376.998717793349 & 319.092662708143 & 434.904772878554 \tabularnewline
137 & 373.120610351566 & 314.882096309673 & 431.35912439346 \tabularnewline
138 & 375.372562248095 & 316.803476374362 & 433.941648121828 \tabularnewline
139 & 371.370705130697 & 312.472902774737 & 430.268507486656 \tabularnewline
140 & 369.948193170863 & 310.723498788886 & 429.17288755284 \tabularnewline
141 & 371.991221833224 & 312.441429835976 & 431.541013830473 \tabularnewline
142 & 377.762405238763 & 317.889280807241 & 437.635529670285 \tabularnewline
143 & 378.897468894394 & 318.70274876489 & 439.092189023899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=187356&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]370.972265501231[/C][C]314.075241776786[/C][C]427.869289225676[/C][/ROW]
[ROW][C]134[/C][C]375.363764428502[/C][C]318.128420357055[/C][C]432.59910849995[/C][/ROW]
[ROW][C]135[/C][C]372.49514137615[/C][C]314.923465065191[/C][C]430.06681768711[/C][/ROW]
[ROW][C]136[/C][C]376.998717793349[/C][C]319.092662708143[/C][C]434.904772878554[/C][/ROW]
[ROW][C]137[/C][C]373.120610351566[/C][C]314.882096309673[/C][C]431.35912439346[/C][/ROW]
[ROW][C]138[/C][C]375.372562248095[/C][C]316.803476374362[/C][C]433.941648121828[/C][/ROW]
[ROW][C]139[/C][C]371.370705130697[/C][C]312.472902774737[/C][C]430.268507486656[/C][/ROW]
[ROW][C]140[/C][C]369.948193170863[/C][C]310.723498788886[/C][C]429.17288755284[/C][/ROW]
[ROW][C]141[/C][C]371.991221833224[/C][C]312.441429835976[/C][C]431.541013830473[/C][/ROW]
[ROW][C]142[/C][C]377.762405238763[/C][C]317.889280807241[/C][C]437.635529670285[/C][/ROW]
[ROW][C]143[/C][C]378.897468894394[/C][C]318.70274876489[/C][C]439.092189023899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=187356&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=187356&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
133370.972265501231314.075241776786427.869289225676
134375.363764428502318.128420357055432.59910849995
135372.49514137615314.923465065191430.06681768711
136376.998717793349319.092662708143434.904772878554
137373.120610351566314.882096309673431.35912439346
138375.372562248095316.803476374362433.941648121828
139371.370705130697312.472902774737430.268507486656
140369.948193170863310.723498788886429.17288755284
141371.991221833224312.441429835976431.541013830473
142377.762405238763317.889280807241437.635529670285
143378.897468894394318.70274876489439.092189023899



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 11 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')