Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 30 Nov 2014 17:07:58 +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/2014/Nov/30/t1417367305hl0bjaf6i4zch2l.htm/, Retrieved Sun, 19 May 2024 14:38:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261543, Retrieved Sun, 19 May 2024 14:38:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Eigen reeks] [2014-11-30 17:07:58] [2cf7618d5ff65529ef2e27cea5366de0] [Current]
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Dataseries X:
332
369
384
373
378
426
423
397
422
409
430
412
470
491
504
484
474
508
492
452
457
457
471
451
493
514
522
490
484
506
501
462
465
454
464
427
460
473
465
422
415
413
420
363
376
380
384
346
389
407
393
346
348
353
364
305
307
312
312
286
324
336
327
302
299
311
315
264
278
278
287
279
324
354
354
360
363
385
412
370
389
395
417
404
456
478
468
437
432
441
449
386
396
394
403
373
409
430
415
392
401
400
447
392
427
444
448
427
480
490
482
490
485
498
544
483
508
529
547
543
608
638
661
650
654
678
725
644
670
662
641
642




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261543&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261543&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261543&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.773908003813094
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.773908003813094 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261543&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]0.773908003813094[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261543&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261543&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
alpha0.773908003813094
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
236933237
3384360.63459614108423.3654038589156
4373378.717269199824-5.7172691998245
5378374.2926288061263.70737119387377
6426377.16179304617148.8382069538287
7423414.958072299628.04192770038043
8397421.18178451303-24.1817845130302
9422402.46730793191319.5326920680874
10409417.583814659422-8.58381465942193
11430410.94073179124719.0592682087529
12412425.690852004821-13.6908520048214
13470415.0953920592754.9046079407304
14491457.58650759082133.4134924091792
15504483.44547680163320.5545231983674
16484499.352786819411-15.3527868194111
17474487.471142219033-13.4711422190327
18508477.04571743521930.9542825647812
19492501.001484464395-9.00148446439511
20452494.035163591201-42.0351635912005
21457461.503814046378-4.50381404637767
22457458.0182763082-1.01827630820014
23471457.23022412319113.7697758768091
24451467.886763884966-16.8867638849659
25493454.81796215588938.1820378441111
26514484.36734684534129.6326531546591
27522507.30029429594914.6997057040511
28490518.676514194011-28.676514194011
29484496.483530337806-12.4835303378061
30506486.82242629353419.1775737064656
31501501.664104078684-0.664104078683692
32462501.150148616825-39.1501486168254
33465470.851535251792-5.85153525179209
34454466.322985285836-12.3229852858357
35464456.7861283422567.21387165774354
36427462.369001356665-35.3690013566646
37460434.99664811986625.0033518801343
38473454.34694226205718.6530577379432
39465468.782692941039-3.78269294103882
40422465.855236598002-43.8552365980016
41415431.915317985691-16.9153179856912
42413418.824418009521-5.8244180095212
43420414.31685429445.6831457056004
44363418.7150862428-55.7150862427998
45376375.596735066360.403264933639775
46380375.9088250261614.0911749738388
47384379.0750180834154.92498191658512
48346382.886501007295-36.8865010072948
49389354.3397426450934.6602573549104
50407381.16359322627625.8364067737236
51393401.158595218232-8.15859521823194
52346394.844593078971-48.844593078971
53348357.043371552162-9.04337155216172
54353350.0446339264882.95536607351187
55364352.33181538497711.6681846150234
56305361.361916848512-56.361916848512
57307317.7429782892-10.7429782892005
58312309.4289014063982.57109859360207
59312311.4186951865790.581304813420843
60286311.868571634341-25.8685716343406
61324291.84867699931232.151323000688
62336316.73084320272419.2691567972755
63327331.643397874866-4.64339787486551
64302328.049835094618-26.0498350946184
65299307.889659216882-8.88965921688202
66311301.0098807977669.99011920223381
67315308.7413140074226.25868599257819
68264313.584961190431-49.5849611904309
69278275.2107628563952.78923714360519
70278277.3693758063640.630624193636379
71287277.8574209172179.14257908278302
72279284.932936044877-5.9329360448769
73324280.34138935363543.6586106463645
74354314.12913756821639.8708624317835
75354344.9855171231059.01448287689544
76360351.961897571778.03810242822999
77363358.1826493764474.81735062355335
78385361.91083558118923.0891644188114
79412379.77972472626332.2202752737368
80370404.715253645669-34.7152536456692
81389377.84884099488411.1511590051159
82395386.4788122007368.52118779926423
83417393.07342764058123.9265723594192
84404411.590393493348-7.59039349334842
85456405.71612721675550.2838727832448
86478444.63121882642833.3687811735722
87468470.455585654143-2.45558565414296
88437468.555188262353-31.5551882623531
89432444.134375504289-12.1343755042891
90441434.7434851802466.25651481975376
91449439.5854520752299.41454792477106
92386446.871446066491-60.8714460664912
93396399.762546751957-3.76254675195656
94394396.850681705896-2.85068170589642
95403394.644516317388.35548368262039
96373401.110892015089-28.1108920150892
97409379.35564769028629.6443523097139
98430402.29764921062927.7023507893712
99415423.736720210961-8.73672021096115
100392416.975302512623-24.9753025126226
101401397.6467160004513.35328399954926
102400400.24184932676-0.241849326760303
103447400.05468019706446.9453198029363
104392436.386038934121-44.3860389341214
105427402.03532814544524.9646718545548
106444421.35568750625322.6443124937473
107448438.8803021860099.11969781399148
108427445.938109316613-18.9381093166133
109480431.28175493939948.718245060601
110490468.98519472352621.0148052764742
111482485.248720725563-3.24872072556286
112490482.7345097538967.26549024610375
113485488.357330806982-3.35733080698191
114498485.7590656240112.2409343759897
115544495.2324227117448.7675772882604
116483532.974041101698-49.9740411016979
117508494.29873071020913.7012692897906
118529504.90225267597724.0977473240231
119547523.55169220390423.4483077960961
120543541.6985252831761.30147471682437
121608542.70574698328665.2942530167136
122638593.23749199591844.7625080040817
123661627.87955521102533.1204447889752
124650653.511732523062-3.51173252306239
125654650.7939746162143.20602538378637
126678653.27514332115424.7248566788462
127725672.40990779804552.5900922019555
128644713.109801074406-69.1098010744064
129670659.62517288099310.3748271190075
130662667.654334626569-5.65433462656949
131641663.27839980283-22.2783998028299
132642646.036967883272-4.0369678832717

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 369 & 332 & 37 \tabularnewline
3 & 384 & 360.634596141084 & 23.3654038589156 \tabularnewline
4 & 373 & 378.717269199824 & -5.7172691998245 \tabularnewline
5 & 378 & 374.292628806126 & 3.70737119387377 \tabularnewline
6 & 426 & 377.161793046171 & 48.8382069538287 \tabularnewline
7 & 423 & 414.95807229962 & 8.04192770038043 \tabularnewline
8 & 397 & 421.18178451303 & -24.1817845130302 \tabularnewline
9 & 422 & 402.467307931913 & 19.5326920680874 \tabularnewline
10 & 409 & 417.583814659422 & -8.58381465942193 \tabularnewline
11 & 430 & 410.940731791247 & 19.0592682087529 \tabularnewline
12 & 412 & 425.690852004821 & -13.6908520048214 \tabularnewline
13 & 470 & 415.09539205927 & 54.9046079407304 \tabularnewline
14 & 491 & 457.586507590821 & 33.4134924091792 \tabularnewline
15 & 504 & 483.445476801633 & 20.5545231983674 \tabularnewline
16 & 484 & 499.352786819411 & -15.3527868194111 \tabularnewline
17 & 474 & 487.471142219033 & -13.4711422190327 \tabularnewline
18 & 508 & 477.045717435219 & 30.9542825647812 \tabularnewline
19 & 492 & 501.001484464395 & -9.00148446439511 \tabularnewline
20 & 452 & 494.035163591201 & -42.0351635912005 \tabularnewline
21 & 457 & 461.503814046378 & -4.50381404637767 \tabularnewline
22 & 457 & 458.0182763082 & -1.01827630820014 \tabularnewline
23 & 471 & 457.230224123191 & 13.7697758768091 \tabularnewline
24 & 451 & 467.886763884966 & -16.8867638849659 \tabularnewline
25 & 493 & 454.817962155889 & 38.1820378441111 \tabularnewline
26 & 514 & 484.367346845341 & 29.6326531546591 \tabularnewline
27 & 522 & 507.300294295949 & 14.6997057040511 \tabularnewline
28 & 490 & 518.676514194011 & -28.676514194011 \tabularnewline
29 & 484 & 496.483530337806 & -12.4835303378061 \tabularnewline
30 & 506 & 486.822426293534 & 19.1775737064656 \tabularnewline
31 & 501 & 501.664104078684 & -0.664104078683692 \tabularnewline
32 & 462 & 501.150148616825 & -39.1501486168254 \tabularnewline
33 & 465 & 470.851535251792 & -5.85153525179209 \tabularnewline
34 & 454 & 466.322985285836 & -12.3229852858357 \tabularnewline
35 & 464 & 456.786128342256 & 7.21387165774354 \tabularnewline
36 & 427 & 462.369001356665 & -35.3690013566646 \tabularnewline
37 & 460 & 434.996648119866 & 25.0033518801343 \tabularnewline
38 & 473 & 454.346942262057 & 18.6530577379432 \tabularnewline
39 & 465 & 468.782692941039 & -3.78269294103882 \tabularnewline
40 & 422 & 465.855236598002 & -43.8552365980016 \tabularnewline
41 & 415 & 431.915317985691 & -16.9153179856912 \tabularnewline
42 & 413 & 418.824418009521 & -5.8244180095212 \tabularnewline
43 & 420 & 414.3168542944 & 5.6831457056004 \tabularnewline
44 & 363 & 418.7150862428 & -55.7150862427998 \tabularnewline
45 & 376 & 375.59673506636 & 0.403264933639775 \tabularnewline
46 & 380 & 375.908825026161 & 4.0911749738388 \tabularnewline
47 & 384 & 379.075018083415 & 4.92498191658512 \tabularnewline
48 & 346 & 382.886501007295 & -36.8865010072948 \tabularnewline
49 & 389 & 354.33974264509 & 34.6602573549104 \tabularnewline
50 & 407 & 381.163593226276 & 25.8364067737236 \tabularnewline
51 & 393 & 401.158595218232 & -8.15859521823194 \tabularnewline
52 & 346 & 394.844593078971 & -48.844593078971 \tabularnewline
53 & 348 & 357.043371552162 & -9.04337155216172 \tabularnewline
54 & 353 & 350.044633926488 & 2.95536607351187 \tabularnewline
55 & 364 & 352.331815384977 & 11.6681846150234 \tabularnewline
56 & 305 & 361.361916848512 & -56.361916848512 \tabularnewline
57 & 307 & 317.7429782892 & -10.7429782892005 \tabularnewline
58 & 312 & 309.428901406398 & 2.57109859360207 \tabularnewline
59 & 312 & 311.418695186579 & 0.581304813420843 \tabularnewline
60 & 286 & 311.868571634341 & -25.8685716343406 \tabularnewline
61 & 324 & 291.848676999312 & 32.151323000688 \tabularnewline
62 & 336 & 316.730843202724 & 19.2691567972755 \tabularnewline
63 & 327 & 331.643397874866 & -4.64339787486551 \tabularnewline
64 & 302 & 328.049835094618 & -26.0498350946184 \tabularnewline
65 & 299 & 307.889659216882 & -8.88965921688202 \tabularnewline
66 & 311 & 301.009880797766 & 9.99011920223381 \tabularnewline
67 & 315 & 308.741314007422 & 6.25868599257819 \tabularnewline
68 & 264 & 313.584961190431 & -49.5849611904309 \tabularnewline
69 & 278 & 275.210762856395 & 2.78923714360519 \tabularnewline
70 & 278 & 277.369375806364 & 0.630624193636379 \tabularnewline
71 & 287 & 277.857420917217 & 9.14257908278302 \tabularnewline
72 & 279 & 284.932936044877 & -5.9329360448769 \tabularnewline
73 & 324 & 280.341389353635 & 43.6586106463645 \tabularnewline
74 & 354 & 314.129137568216 & 39.8708624317835 \tabularnewline
75 & 354 & 344.985517123105 & 9.01448287689544 \tabularnewline
76 & 360 & 351.96189757177 & 8.03810242822999 \tabularnewline
77 & 363 & 358.182649376447 & 4.81735062355335 \tabularnewline
78 & 385 & 361.910835581189 & 23.0891644188114 \tabularnewline
79 & 412 & 379.779724726263 & 32.2202752737368 \tabularnewline
80 & 370 & 404.715253645669 & -34.7152536456692 \tabularnewline
81 & 389 & 377.848840994884 & 11.1511590051159 \tabularnewline
82 & 395 & 386.478812200736 & 8.52118779926423 \tabularnewline
83 & 417 & 393.073427640581 & 23.9265723594192 \tabularnewline
84 & 404 & 411.590393493348 & -7.59039349334842 \tabularnewline
85 & 456 & 405.716127216755 & 50.2838727832448 \tabularnewline
86 & 478 & 444.631218826428 & 33.3687811735722 \tabularnewline
87 & 468 & 470.455585654143 & -2.45558565414296 \tabularnewline
88 & 437 & 468.555188262353 & -31.5551882623531 \tabularnewline
89 & 432 & 444.134375504289 & -12.1343755042891 \tabularnewline
90 & 441 & 434.743485180246 & 6.25651481975376 \tabularnewline
91 & 449 & 439.585452075229 & 9.41454792477106 \tabularnewline
92 & 386 & 446.871446066491 & -60.8714460664912 \tabularnewline
93 & 396 & 399.762546751957 & -3.76254675195656 \tabularnewline
94 & 394 & 396.850681705896 & -2.85068170589642 \tabularnewline
95 & 403 & 394.64451631738 & 8.35548368262039 \tabularnewline
96 & 373 & 401.110892015089 & -28.1108920150892 \tabularnewline
97 & 409 & 379.355647690286 & 29.6443523097139 \tabularnewline
98 & 430 & 402.297649210629 & 27.7023507893712 \tabularnewline
99 & 415 & 423.736720210961 & -8.73672021096115 \tabularnewline
100 & 392 & 416.975302512623 & -24.9753025126226 \tabularnewline
101 & 401 & 397.646716000451 & 3.35328399954926 \tabularnewline
102 & 400 & 400.24184932676 & -0.241849326760303 \tabularnewline
103 & 447 & 400.054680197064 & 46.9453198029363 \tabularnewline
104 & 392 & 436.386038934121 & -44.3860389341214 \tabularnewline
105 & 427 & 402.035328145445 & 24.9646718545548 \tabularnewline
106 & 444 & 421.355687506253 & 22.6443124937473 \tabularnewline
107 & 448 & 438.880302186009 & 9.11969781399148 \tabularnewline
108 & 427 & 445.938109316613 & -18.9381093166133 \tabularnewline
109 & 480 & 431.281754939399 & 48.718245060601 \tabularnewline
110 & 490 & 468.985194723526 & 21.0148052764742 \tabularnewline
111 & 482 & 485.248720725563 & -3.24872072556286 \tabularnewline
112 & 490 & 482.734509753896 & 7.26549024610375 \tabularnewline
113 & 485 & 488.357330806982 & -3.35733080698191 \tabularnewline
114 & 498 & 485.75906562401 & 12.2409343759897 \tabularnewline
115 & 544 & 495.23242271174 & 48.7675772882604 \tabularnewline
116 & 483 & 532.974041101698 & -49.9740411016979 \tabularnewline
117 & 508 & 494.298730710209 & 13.7012692897906 \tabularnewline
118 & 529 & 504.902252675977 & 24.0977473240231 \tabularnewline
119 & 547 & 523.551692203904 & 23.4483077960961 \tabularnewline
120 & 543 & 541.698525283176 & 1.30147471682437 \tabularnewline
121 & 608 & 542.705746983286 & 65.2942530167136 \tabularnewline
122 & 638 & 593.237491995918 & 44.7625080040817 \tabularnewline
123 & 661 & 627.879555211025 & 33.1204447889752 \tabularnewline
124 & 650 & 653.511732523062 & -3.51173252306239 \tabularnewline
125 & 654 & 650.793974616214 & 3.20602538378637 \tabularnewline
126 & 678 & 653.275143321154 & 24.7248566788462 \tabularnewline
127 & 725 & 672.409907798045 & 52.5900922019555 \tabularnewline
128 & 644 & 713.109801074406 & -69.1098010744064 \tabularnewline
129 & 670 & 659.625172880993 & 10.3748271190075 \tabularnewline
130 & 662 & 667.654334626569 & -5.65433462656949 \tabularnewline
131 & 641 & 663.27839980283 & -22.2783998028299 \tabularnewline
132 & 642 & 646.036967883272 & -4.0369678832717 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261543&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]369[/C][C]332[/C][C]37[/C][/ROW]
[ROW][C]3[/C][C]384[/C][C]360.634596141084[/C][C]23.3654038589156[/C][/ROW]
[ROW][C]4[/C][C]373[/C][C]378.717269199824[/C][C]-5.7172691998245[/C][/ROW]
[ROW][C]5[/C][C]378[/C][C]374.292628806126[/C][C]3.70737119387377[/C][/ROW]
[ROW][C]6[/C][C]426[/C][C]377.161793046171[/C][C]48.8382069538287[/C][/ROW]
[ROW][C]7[/C][C]423[/C][C]414.95807229962[/C][C]8.04192770038043[/C][/ROW]
[ROW][C]8[/C][C]397[/C][C]421.18178451303[/C][C]-24.1817845130302[/C][/ROW]
[ROW][C]9[/C][C]422[/C][C]402.467307931913[/C][C]19.5326920680874[/C][/ROW]
[ROW][C]10[/C][C]409[/C][C]417.583814659422[/C][C]-8.58381465942193[/C][/ROW]
[ROW][C]11[/C][C]430[/C][C]410.940731791247[/C][C]19.0592682087529[/C][/ROW]
[ROW][C]12[/C][C]412[/C][C]425.690852004821[/C][C]-13.6908520048214[/C][/ROW]
[ROW][C]13[/C][C]470[/C][C]415.09539205927[/C][C]54.9046079407304[/C][/ROW]
[ROW][C]14[/C][C]491[/C][C]457.586507590821[/C][C]33.4134924091792[/C][/ROW]
[ROW][C]15[/C][C]504[/C][C]483.445476801633[/C][C]20.5545231983674[/C][/ROW]
[ROW][C]16[/C][C]484[/C][C]499.352786819411[/C][C]-15.3527868194111[/C][/ROW]
[ROW][C]17[/C][C]474[/C][C]487.471142219033[/C][C]-13.4711422190327[/C][/ROW]
[ROW][C]18[/C][C]508[/C][C]477.045717435219[/C][C]30.9542825647812[/C][/ROW]
[ROW][C]19[/C][C]492[/C][C]501.001484464395[/C][C]-9.00148446439511[/C][/ROW]
[ROW][C]20[/C][C]452[/C][C]494.035163591201[/C][C]-42.0351635912005[/C][/ROW]
[ROW][C]21[/C][C]457[/C][C]461.503814046378[/C][C]-4.50381404637767[/C][/ROW]
[ROW][C]22[/C][C]457[/C][C]458.0182763082[/C][C]-1.01827630820014[/C][/ROW]
[ROW][C]23[/C][C]471[/C][C]457.230224123191[/C][C]13.7697758768091[/C][/ROW]
[ROW][C]24[/C][C]451[/C][C]467.886763884966[/C][C]-16.8867638849659[/C][/ROW]
[ROW][C]25[/C][C]493[/C][C]454.817962155889[/C][C]38.1820378441111[/C][/ROW]
[ROW][C]26[/C][C]514[/C][C]484.367346845341[/C][C]29.6326531546591[/C][/ROW]
[ROW][C]27[/C][C]522[/C][C]507.300294295949[/C][C]14.6997057040511[/C][/ROW]
[ROW][C]28[/C][C]490[/C][C]518.676514194011[/C][C]-28.676514194011[/C][/ROW]
[ROW][C]29[/C][C]484[/C][C]496.483530337806[/C][C]-12.4835303378061[/C][/ROW]
[ROW][C]30[/C][C]506[/C][C]486.822426293534[/C][C]19.1775737064656[/C][/ROW]
[ROW][C]31[/C][C]501[/C][C]501.664104078684[/C][C]-0.664104078683692[/C][/ROW]
[ROW][C]32[/C][C]462[/C][C]501.150148616825[/C][C]-39.1501486168254[/C][/ROW]
[ROW][C]33[/C][C]465[/C][C]470.851535251792[/C][C]-5.85153525179209[/C][/ROW]
[ROW][C]34[/C][C]454[/C][C]466.322985285836[/C][C]-12.3229852858357[/C][/ROW]
[ROW][C]35[/C][C]464[/C][C]456.786128342256[/C][C]7.21387165774354[/C][/ROW]
[ROW][C]36[/C][C]427[/C][C]462.369001356665[/C][C]-35.3690013566646[/C][/ROW]
[ROW][C]37[/C][C]460[/C][C]434.996648119866[/C][C]25.0033518801343[/C][/ROW]
[ROW][C]38[/C][C]473[/C][C]454.346942262057[/C][C]18.6530577379432[/C][/ROW]
[ROW][C]39[/C][C]465[/C][C]468.782692941039[/C][C]-3.78269294103882[/C][/ROW]
[ROW][C]40[/C][C]422[/C][C]465.855236598002[/C][C]-43.8552365980016[/C][/ROW]
[ROW][C]41[/C][C]415[/C][C]431.915317985691[/C][C]-16.9153179856912[/C][/ROW]
[ROW][C]42[/C][C]413[/C][C]418.824418009521[/C][C]-5.8244180095212[/C][/ROW]
[ROW][C]43[/C][C]420[/C][C]414.3168542944[/C][C]5.6831457056004[/C][/ROW]
[ROW][C]44[/C][C]363[/C][C]418.7150862428[/C][C]-55.7150862427998[/C][/ROW]
[ROW][C]45[/C][C]376[/C][C]375.59673506636[/C][C]0.403264933639775[/C][/ROW]
[ROW][C]46[/C][C]380[/C][C]375.908825026161[/C][C]4.0911749738388[/C][/ROW]
[ROW][C]47[/C][C]384[/C][C]379.075018083415[/C][C]4.92498191658512[/C][/ROW]
[ROW][C]48[/C][C]346[/C][C]382.886501007295[/C][C]-36.8865010072948[/C][/ROW]
[ROW][C]49[/C][C]389[/C][C]354.33974264509[/C][C]34.6602573549104[/C][/ROW]
[ROW][C]50[/C][C]407[/C][C]381.163593226276[/C][C]25.8364067737236[/C][/ROW]
[ROW][C]51[/C][C]393[/C][C]401.158595218232[/C][C]-8.15859521823194[/C][/ROW]
[ROW][C]52[/C][C]346[/C][C]394.844593078971[/C][C]-48.844593078971[/C][/ROW]
[ROW][C]53[/C][C]348[/C][C]357.043371552162[/C][C]-9.04337155216172[/C][/ROW]
[ROW][C]54[/C][C]353[/C][C]350.044633926488[/C][C]2.95536607351187[/C][/ROW]
[ROW][C]55[/C][C]364[/C][C]352.331815384977[/C][C]11.6681846150234[/C][/ROW]
[ROW][C]56[/C][C]305[/C][C]361.361916848512[/C][C]-56.361916848512[/C][/ROW]
[ROW][C]57[/C][C]307[/C][C]317.7429782892[/C][C]-10.7429782892005[/C][/ROW]
[ROW][C]58[/C][C]312[/C][C]309.428901406398[/C][C]2.57109859360207[/C][/ROW]
[ROW][C]59[/C][C]312[/C][C]311.418695186579[/C][C]0.581304813420843[/C][/ROW]
[ROW][C]60[/C][C]286[/C][C]311.868571634341[/C][C]-25.8685716343406[/C][/ROW]
[ROW][C]61[/C][C]324[/C][C]291.848676999312[/C][C]32.151323000688[/C][/ROW]
[ROW][C]62[/C][C]336[/C][C]316.730843202724[/C][C]19.2691567972755[/C][/ROW]
[ROW][C]63[/C][C]327[/C][C]331.643397874866[/C][C]-4.64339787486551[/C][/ROW]
[ROW][C]64[/C][C]302[/C][C]328.049835094618[/C][C]-26.0498350946184[/C][/ROW]
[ROW][C]65[/C][C]299[/C][C]307.889659216882[/C][C]-8.88965921688202[/C][/ROW]
[ROW][C]66[/C][C]311[/C][C]301.009880797766[/C][C]9.99011920223381[/C][/ROW]
[ROW][C]67[/C][C]315[/C][C]308.741314007422[/C][C]6.25868599257819[/C][/ROW]
[ROW][C]68[/C][C]264[/C][C]313.584961190431[/C][C]-49.5849611904309[/C][/ROW]
[ROW][C]69[/C][C]278[/C][C]275.210762856395[/C][C]2.78923714360519[/C][/ROW]
[ROW][C]70[/C][C]278[/C][C]277.369375806364[/C][C]0.630624193636379[/C][/ROW]
[ROW][C]71[/C][C]287[/C][C]277.857420917217[/C][C]9.14257908278302[/C][/ROW]
[ROW][C]72[/C][C]279[/C][C]284.932936044877[/C][C]-5.9329360448769[/C][/ROW]
[ROW][C]73[/C][C]324[/C][C]280.341389353635[/C][C]43.6586106463645[/C][/ROW]
[ROW][C]74[/C][C]354[/C][C]314.129137568216[/C][C]39.8708624317835[/C][/ROW]
[ROW][C]75[/C][C]354[/C][C]344.985517123105[/C][C]9.01448287689544[/C][/ROW]
[ROW][C]76[/C][C]360[/C][C]351.96189757177[/C][C]8.03810242822999[/C][/ROW]
[ROW][C]77[/C][C]363[/C][C]358.182649376447[/C][C]4.81735062355335[/C][/ROW]
[ROW][C]78[/C][C]385[/C][C]361.910835581189[/C][C]23.0891644188114[/C][/ROW]
[ROW][C]79[/C][C]412[/C][C]379.779724726263[/C][C]32.2202752737368[/C][/ROW]
[ROW][C]80[/C][C]370[/C][C]404.715253645669[/C][C]-34.7152536456692[/C][/ROW]
[ROW][C]81[/C][C]389[/C][C]377.848840994884[/C][C]11.1511590051159[/C][/ROW]
[ROW][C]82[/C][C]395[/C][C]386.478812200736[/C][C]8.52118779926423[/C][/ROW]
[ROW][C]83[/C][C]417[/C][C]393.073427640581[/C][C]23.9265723594192[/C][/ROW]
[ROW][C]84[/C][C]404[/C][C]411.590393493348[/C][C]-7.59039349334842[/C][/ROW]
[ROW][C]85[/C][C]456[/C][C]405.716127216755[/C][C]50.2838727832448[/C][/ROW]
[ROW][C]86[/C][C]478[/C][C]444.631218826428[/C][C]33.3687811735722[/C][/ROW]
[ROW][C]87[/C][C]468[/C][C]470.455585654143[/C][C]-2.45558565414296[/C][/ROW]
[ROW][C]88[/C][C]437[/C][C]468.555188262353[/C][C]-31.5551882623531[/C][/ROW]
[ROW][C]89[/C][C]432[/C][C]444.134375504289[/C][C]-12.1343755042891[/C][/ROW]
[ROW][C]90[/C][C]441[/C][C]434.743485180246[/C][C]6.25651481975376[/C][/ROW]
[ROW][C]91[/C][C]449[/C][C]439.585452075229[/C][C]9.41454792477106[/C][/ROW]
[ROW][C]92[/C][C]386[/C][C]446.871446066491[/C][C]-60.8714460664912[/C][/ROW]
[ROW][C]93[/C][C]396[/C][C]399.762546751957[/C][C]-3.76254675195656[/C][/ROW]
[ROW][C]94[/C][C]394[/C][C]396.850681705896[/C][C]-2.85068170589642[/C][/ROW]
[ROW][C]95[/C][C]403[/C][C]394.64451631738[/C][C]8.35548368262039[/C][/ROW]
[ROW][C]96[/C][C]373[/C][C]401.110892015089[/C][C]-28.1108920150892[/C][/ROW]
[ROW][C]97[/C][C]409[/C][C]379.355647690286[/C][C]29.6443523097139[/C][/ROW]
[ROW][C]98[/C][C]430[/C][C]402.297649210629[/C][C]27.7023507893712[/C][/ROW]
[ROW][C]99[/C][C]415[/C][C]423.736720210961[/C][C]-8.73672021096115[/C][/ROW]
[ROW][C]100[/C][C]392[/C][C]416.975302512623[/C][C]-24.9753025126226[/C][/ROW]
[ROW][C]101[/C][C]401[/C][C]397.646716000451[/C][C]3.35328399954926[/C][/ROW]
[ROW][C]102[/C][C]400[/C][C]400.24184932676[/C][C]-0.241849326760303[/C][/ROW]
[ROW][C]103[/C][C]447[/C][C]400.054680197064[/C][C]46.9453198029363[/C][/ROW]
[ROW][C]104[/C][C]392[/C][C]436.386038934121[/C][C]-44.3860389341214[/C][/ROW]
[ROW][C]105[/C][C]427[/C][C]402.035328145445[/C][C]24.9646718545548[/C][/ROW]
[ROW][C]106[/C][C]444[/C][C]421.355687506253[/C][C]22.6443124937473[/C][/ROW]
[ROW][C]107[/C][C]448[/C][C]438.880302186009[/C][C]9.11969781399148[/C][/ROW]
[ROW][C]108[/C][C]427[/C][C]445.938109316613[/C][C]-18.9381093166133[/C][/ROW]
[ROW][C]109[/C][C]480[/C][C]431.281754939399[/C][C]48.718245060601[/C][/ROW]
[ROW][C]110[/C][C]490[/C][C]468.985194723526[/C][C]21.0148052764742[/C][/ROW]
[ROW][C]111[/C][C]482[/C][C]485.248720725563[/C][C]-3.24872072556286[/C][/ROW]
[ROW][C]112[/C][C]490[/C][C]482.734509753896[/C][C]7.26549024610375[/C][/ROW]
[ROW][C]113[/C][C]485[/C][C]488.357330806982[/C][C]-3.35733080698191[/C][/ROW]
[ROW][C]114[/C][C]498[/C][C]485.75906562401[/C][C]12.2409343759897[/C][/ROW]
[ROW][C]115[/C][C]544[/C][C]495.23242271174[/C][C]48.7675772882604[/C][/ROW]
[ROW][C]116[/C][C]483[/C][C]532.974041101698[/C][C]-49.9740411016979[/C][/ROW]
[ROW][C]117[/C][C]508[/C][C]494.298730710209[/C][C]13.7012692897906[/C][/ROW]
[ROW][C]118[/C][C]529[/C][C]504.902252675977[/C][C]24.0977473240231[/C][/ROW]
[ROW][C]119[/C][C]547[/C][C]523.551692203904[/C][C]23.4483077960961[/C][/ROW]
[ROW][C]120[/C][C]543[/C][C]541.698525283176[/C][C]1.30147471682437[/C][/ROW]
[ROW][C]121[/C][C]608[/C][C]542.705746983286[/C][C]65.2942530167136[/C][/ROW]
[ROW][C]122[/C][C]638[/C][C]593.237491995918[/C][C]44.7625080040817[/C][/ROW]
[ROW][C]123[/C][C]661[/C][C]627.879555211025[/C][C]33.1204447889752[/C][/ROW]
[ROW][C]124[/C][C]650[/C][C]653.511732523062[/C][C]-3.51173252306239[/C][/ROW]
[ROW][C]125[/C][C]654[/C][C]650.793974616214[/C][C]3.20602538378637[/C][/ROW]
[ROW][C]126[/C][C]678[/C][C]653.275143321154[/C][C]24.7248566788462[/C][/ROW]
[ROW][C]127[/C][C]725[/C][C]672.409907798045[/C][C]52.5900922019555[/C][/ROW]
[ROW][C]128[/C][C]644[/C][C]713.109801074406[/C][C]-69.1098010744064[/C][/ROW]
[ROW][C]129[/C][C]670[/C][C]659.625172880993[/C][C]10.3748271190075[/C][/ROW]
[ROW][C]130[/C][C]662[/C][C]667.654334626569[/C][C]-5.65433462656949[/C][/ROW]
[ROW][C]131[/C][C]641[/C][C]663.27839980283[/C][C]-22.2783998028299[/C][/ROW]
[ROW][C]132[/C][C]642[/C][C]646.036967883272[/C][C]-4.0369678832717[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261543&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261543&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
236933237
3384360.63459614108423.3654038589156
4373378.717269199824-5.7172691998245
5378374.2926288061263.70737119387377
6426377.16179304617148.8382069538287
7423414.958072299628.04192770038043
8397421.18178451303-24.1817845130302
9422402.46730793191319.5326920680874
10409417.583814659422-8.58381465942193
11430410.94073179124719.0592682087529
12412425.690852004821-13.6908520048214
13470415.0953920592754.9046079407304
14491457.58650759082133.4134924091792
15504483.44547680163320.5545231983674
16484499.352786819411-15.3527868194111
17474487.471142219033-13.4711422190327
18508477.04571743521930.9542825647812
19492501.001484464395-9.00148446439511
20452494.035163591201-42.0351635912005
21457461.503814046378-4.50381404637767
22457458.0182763082-1.01827630820014
23471457.23022412319113.7697758768091
24451467.886763884966-16.8867638849659
25493454.81796215588938.1820378441111
26514484.36734684534129.6326531546591
27522507.30029429594914.6997057040511
28490518.676514194011-28.676514194011
29484496.483530337806-12.4835303378061
30506486.82242629353419.1775737064656
31501501.664104078684-0.664104078683692
32462501.150148616825-39.1501486168254
33465470.851535251792-5.85153525179209
34454466.322985285836-12.3229852858357
35464456.7861283422567.21387165774354
36427462.369001356665-35.3690013566646
37460434.99664811986625.0033518801343
38473454.34694226205718.6530577379432
39465468.782692941039-3.78269294103882
40422465.855236598002-43.8552365980016
41415431.915317985691-16.9153179856912
42413418.824418009521-5.8244180095212
43420414.31685429445.6831457056004
44363418.7150862428-55.7150862427998
45376375.596735066360.403264933639775
46380375.9088250261614.0911749738388
47384379.0750180834154.92498191658512
48346382.886501007295-36.8865010072948
49389354.3397426450934.6602573549104
50407381.16359322627625.8364067737236
51393401.158595218232-8.15859521823194
52346394.844593078971-48.844593078971
53348357.043371552162-9.04337155216172
54353350.0446339264882.95536607351187
55364352.33181538497711.6681846150234
56305361.361916848512-56.361916848512
57307317.7429782892-10.7429782892005
58312309.4289014063982.57109859360207
59312311.4186951865790.581304813420843
60286311.868571634341-25.8685716343406
61324291.84867699931232.151323000688
62336316.73084320272419.2691567972755
63327331.643397874866-4.64339787486551
64302328.049835094618-26.0498350946184
65299307.889659216882-8.88965921688202
66311301.0098807977669.99011920223381
67315308.7413140074226.25868599257819
68264313.584961190431-49.5849611904309
69278275.2107628563952.78923714360519
70278277.3693758063640.630624193636379
71287277.8574209172179.14257908278302
72279284.932936044877-5.9329360448769
73324280.34138935363543.6586106463645
74354314.12913756821639.8708624317835
75354344.9855171231059.01448287689544
76360351.961897571778.03810242822999
77363358.1826493764474.81735062355335
78385361.91083558118923.0891644188114
79412379.77972472626332.2202752737368
80370404.715253645669-34.7152536456692
81389377.84884099488411.1511590051159
82395386.4788122007368.52118779926423
83417393.07342764058123.9265723594192
84404411.590393493348-7.59039349334842
85456405.71612721675550.2838727832448
86478444.63121882642833.3687811735722
87468470.455585654143-2.45558565414296
88437468.555188262353-31.5551882623531
89432444.134375504289-12.1343755042891
90441434.7434851802466.25651481975376
91449439.5854520752299.41454792477106
92386446.871446066491-60.8714460664912
93396399.762546751957-3.76254675195656
94394396.850681705896-2.85068170589642
95403394.644516317388.35548368262039
96373401.110892015089-28.1108920150892
97409379.35564769028629.6443523097139
98430402.29764921062927.7023507893712
99415423.736720210961-8.73672021096115
100392416.975302512623-24.9753025126226
101401397.6467160004513.35328399954926
102400400.24184932676-0.241849326760303
103447400.05468019706446.9453198029363
104392436.386038934121-44.3860389341214
105427402.03532814544524.9646718545548
106444421.35568750625322.6443124937473
107448438.8803021860099.11969781399148
108427445.938109316613-18.9381093166133
109480431.28175493939948.718245060601
110490468.98519472352621.0148052764742
111482485.248720725563-3.24872072556286
112490482.7345097538967.26549024610375
113485488.357330806982-3.35733080698191
114498485.7590656240112.2409343759897
115544495.2324227117448.7675772882604
116483532.974041101698-49.9740411016979
117508494.29873071020913.7012692897906
118529504.90225267597724.0977473240231
119547523.55169220390423.4483077960961
120543541.6985252831761.30147471682437
121608542.70574698328665.2942530167136
122638593.23749199591844.7625080040817
123661627.87955521102533.1204447889752
124650653.511732523062-3.51173252306239
125654650.7939746162143.20602538378637
126678653.27514332115424.7248566788462
127725672.40990779804552.5900922019555
128644713.109801074406-69.1098010744064
129670659.62517288099310.3748271190075
130662667.654334626569-5.65433462656949
131641663.27839980283-22.2783998028299
132642646.036967883272-4.0369678832717







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133642.912726127271590.923739773768694.901712480775
134642.912726127271577.173200766703708.65225148784
135642.912726127271565.83798521171719.987467042832
136642.912726127271555.968225554959729.857226699584
137642.912726127271547.109925164372738.715527090171
138642.912726127271539.004077955404746.821374299139
139642.912726127271531.486348381815754.339103872727
140642.912726127271524.44472137476761.380730879783
141642.912726127271517.798783488535768.026668766008
142642.912726127271511.488492687707774.336959566836
143642.912726127271505.46761116226780.357841092283
144642.912726127271499.699632730357786.125819524185

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 642.912726127271 & 590.923739773768 & 694.901712480775 \tabularnewline
134 & 642.912726127271 & 577.173200766703 & 708.65225148784 \tabularnewline
135 & 642.912726127271 & 565.83798521171 & 719.987467042832 \tabularnewline
136 & 642.912726127271 & 555.968225554959 & 729.857226699584 \tabularnewline
137 & 642.912726127271 & 547.109925164372 & 738.715527090171 \tabularnewline
138 & 642.912726127271 & 539.004077955404 & 746.821374299139 \tabularnewline
139 & 642.912726127271 & 531.486348381815 & 754.339103872727 \tabularnewline
140 & 642.912726127271 & 524.44472137476 & 761.380730879783 \tabularnewline
141 & 642.912726127271 & 517.798783488535 & 768.026668766008 \tabularnewline
142 & 642.912726127271 & 511.488492687707 & 774.336959566836 \tabularnewline
143 & 642.912726127271 & 505.46761116226 & 780.357841092283 \tabularnewline
144 & 642.912726127271 & 499.699632730357 & 786.125819524185 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261543&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]642.912726127271[/C][C]590.923739773768[/C][C]694.901712480775[/C][/ROW]
[ROW][C]134[/C][C]642.912726127271[/C][C]577.173200766703[/C][C]708.65225148784[/C][/ROW]
[ROW][C]135[/C][C]642.912726127271[/C][C]565.83798521171[/C][C]719.987467042832[/C][/ROW]
[ROW][C]136[/C][C]642.912726127271[/C][C]555.968225554959[/C][C]729.857226699584[/C][/ROW]
[ROW][C]137[/C][C]642.912726127271[/C][C]547.109925164372[/C][C]738.715527090171[/C][/ROW]
[ROW][C]138[/C][C]642.912726127271[/C][C]539.004077955404[/C][C]746.821374299139[/C][/ROW]
[ROW][C]139[/C][C]642.912726127271[/C][C]531.486348381815[/C][C]754.339103872727[/C][/ROW]
[ROW][C]140[/C][C]642.912726127271[/C][C]524.44472137476[/C][C]761.380730879783[/C][/ROW]
[ROW][C]141[/C][C]642.912726127271[/C][C]517.798783488535[/C][C]768.026668766008[/C][/ROW]
[ROW][C]142[/C][C]642.912726127271[/C][C]511.488492687707[/C][C]774.336959566836[/C][/ROW]
[ROW][C]143[/C][C]642.912726127271[/C][C]505.46761116226[/C][C]780.357841092283[/C][/ROW]
[ROW][C]144[/C][C]642.912726127271[/C][C]499.699632730357[/C][C]786.125819524185[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261543&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261543&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
133642.912726127271590.923739773768694.901712480775
134642.912726127271577.173200766703708.65225148784
135642.912726127271565.83798521171719.987467042832
136642.912726127271555.968225554959729.857226699584
137642.912726127271547.109925164372738.715527090171
138642.912726127271539.004077955404746.821374299139
139642.912726127271531.486348381815754.339103872727
140642.912726127271524.44472137476761.380730879783
141642.912726127271517.798783488535768.026668766008
142642.912726127271511.488492687707774.336959566836
143642.912726127271505.46761116226780.357841092283
144642.912726127271499.699632730357786.125819524185



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