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Author's title

opgave 10 oef 2 exponential smoothing inschrijving personenwagens. umran ce...

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 07 Jun 2009 18:00:12 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/08/t12444192660ptoqdxd84v6wem.htm/, Retrieved Fri, 10 May 2024 04:32:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42271, Retrieved Fri, 10 May 2024 04:32:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact231
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opgave 10 oef 2 e...] [2009-06-08 00:00:12] [35929c65abb99b6a5fe7f94d9e3dcf69] [Current]
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Dataseries X:
580
579
572
560
551
537
541
588
607
599
578
563
566
561
554
540
526
512
505
554
584
569
540
522
526
527
516
503
489
479
475
524
552
532
511
492
492
493
481
462
457
442
439
488
521
501
485
464
460
467
460
448
443
436
431
484
510
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42271&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42271&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.562890117745326
beta0.154656619933915
gamma0.776809761193287

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.562890117745326 \tabularnewline
beta & 0.154656619933915 \tabularnewline
gamma & 0.776809761193287 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42271&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]0.562890117745326[/C][/ROW]
[ROW][C]beta[/C][C]0.154656619933915[/C][/ROW]
[ROW][C]gamma[/C][C]0.776809761193287[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42271&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
alpha0.562890117745326
beta0.154656619933915
gamma0.776809761193287







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13566577.284722222222-11.2847222222224
14561565.620730231435-4.62073023143523
15554554.763910604782-0.7639106047817
16540538.8448879696881.15511203031224
17526524.7316221232521.26837787674833
18512511.2508640697760.749135930223645
19505512.709712313483-7.70971231348324
20554552.6109919117921.38900808820767
21584569.92143763381714.0785623661826
22569568.6836461747910.316353825209148
23540547.018450278338-7.0184502783377
24522526.821910005568-4.8219100055685
25526522.0686027973063.93139720269426
26527521.0542001181925.94579988180806
27516518.196449047451-2.19644904745087
28503502.7396473370860.260352662914386
29489488.7002730228050.299726977195405
30479474.9527192964324.04728070356828
31475476.137724903373-1.13772490337323
32524524.141791723735-0.141791723734968
33552546.0800545571325.9199454428682
34532536.047373222968-4.04737322296751
35511509.5259436241731.47405637582733
36492495.685508668418-3.68550866841815
37492495.472915080809-3.47291508080895
38493491.2589593918481.74104060815216
39481483.187904618284-2.18790461828382
40462468.489090665015-6.4890906650146
41457449.9952885046887.00471149531182
42442441.2094885639070.790511436093254
43439438.4322967305430.567703269456729
44488487.5145488468350.485451153164888
45521511.6988014983169.30119850168381
46501500.3139834955620.686016504438442
47485478.8728087588836.12719124111743
48464466.845786380568-2.84578638056831
49460468.19729790819-8.19729790818974
50467463.7024065209973.29759347900307
51460455.916914710814.08308528919019
52448444.5768979522113.42310204778857
53443438.3967028702934.60329712970696
54436428.0923716418747.90762835812563
55431431.808498521782-0.808498521782383
56484482.5311853489271.46881465107339
57510512.790981695035-2.79098169503459
58513493.15023876146419.8497612385362
59503487.4879372049615.5120627950404
60471481.658010883794-10.6580108837944
61471480.076125558585-9.0761255585847
62476482.194288543984-6.19428854398382
63475471.7109454091853.28905459081528
64470462.009074969537.99092503047007
65461461.507645838878-0.507645838877579
66455451.7103203626953.28967963730537
67456451.7273792682864.27262073171414
68517508.3856788787548.61432112124561
69525544.145477438642-19.1454774386422
70523524.487193281545-1.48719328154527
71519504.98472911118614.0152708888141
72509488.93895918344320.0610408165567
73512507.3726591879994.62734081200085
74519521.562853780641-2.56285378064138
75517520.039778076327-3.03977807632668
76510511.517129536238-1.51712953623803
77509505.0954230455663.90457695443445
78501501.772598073284-0.772598073283518
79507502.1846769384044.81532306159608
80569563.017809872155.98219012784955
81580590.03611688648-10.0361168864803
82578584.460288781853-6.46028878185257
83565569.948462752511-4.94846275251086
84547546.1562250965480.843774903451617
85555547.7344132800257.26558671997498
86562560.4001116816261.59988831837416
87561560.8525489619440.147451038056374
88555554.7127274102850.287272589715030
89544551.376479813433-7.37647981343298
90537539.362281843572-2.36228184357162
91543539.8853023409173.11469765908271
92594599.117707236083-5.11770723608333
93611612.44298398353-1.44298398352976
94613611.6604227467481.33957725325195
95611601.4735219403199.5264780596807
96594588.4770735222515.52292647774937
97595595.958212719471-0.958212719470794
98591602.443669385527-11.4436693855271
99589594.297985819751-5.29798581975149
100584583.9035532143490.0964467856509827
101573576.604137836547-3.60413783654667
102567567.490813657033-0.490813657033186
103569570.164782978349-1.16478297834851
104621623.058241317121-2.05824131712086
105629638.485012763114-9.48501276311413
106628632.551993596952-4.55199359695166
107612619.747267657183-7.74726765718276
108595592.0830368767642.91696312323563
109597592.0846142334134.91538576658729
110593595.015223981243-2.01522398124337
111590591.783596033258-1.78359603325805
112580583.025111488851-3.02511148885139
113574570.2663640954653.73363590453494
114573564.5336211658788.46637883412166
115573570.9935119599472.00648804005334
116620624.61759998127-4.61759998127036
117626635.108087678417-9.10808767841718
118620630.12118498376-10.1211849837600
119588611.670769216-23.6707692159998
120566575.852306177444-9.85230617744355
121557565.421026998575-8.4210269985748
122561553.4066797028367.59332029716415
123549551.413999630308-2.41399963030847
124532537.575973156142-5.5759731561418
125526521.1511115465674.84888845343323
126511513.225029526732-2.2250295267321
127499506.114518842905-7.11451884290454
128555546.2023891268848.79761087311567
129565557.7343968707657.26560312923539
130542558.060471976212-16.0604719762122
131527527.589457089726-0.589457089726466
132510507.3879936266572.61200637334269
133514503.47650322793510.5234967720652
134517508.2304996982428.76950030175811
135508504.2712413179753.72875868202453
136493494.121376006402-1.12137600640199
137490485.4356463569364.56435364306395
138469476.614583647384-7.61458364738417
139478466.00806685263211.9919331473678
140528525.1150120990642.8849879009357
141534535.145205022292-1.14520502229232
142518524.430859087689-6.43085908768876
143506507.086100147311-1.08610014731079
144502490.10154693003811.8984530699624
145516497.32149540172118.6785045982786

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 566 & 577.284722222222 & -11.2847222222224 \tabularnewline
14 & 561 & 565.620730231435 & -4.62073023143523 \tabularnewline
15 & 554 & 554.763910604782 & -0.7639106047817 \tabularnewline
16 & 540 & 538.844887969688 & 1.15511203031224 \tabularnewline
17 & 526 & 524.731622123252 & 1.26837787674833 \tabularnewline
18 & 512 & 511.250864069776 & 0.749135930223645 \tabularnewline
19 & 505 & 512.709712313483 & -7.70971231348324 \tabularnewline
20 & 554 & 552.610991911792 & 1.38900808820767 \tabularnewline
21 & 584 & 569.921437633817 & 14.0785623661826 \tabularnewline
22 & 569 & 568.683646174791 & 0.316353825209148 \tabularnewline
23 & 540 & 547.018450278338 & -7.0184502783377 \tabularnewline
24 & 522 & 526.821910005568 & -4.8219100055685 \tabularnewline
25 & 526 & 522.068602797306 & 3.93139720269426 \tabularnewline
26 & 527 & 521.054200118192 & 5.94579988180806 \tabularnewline
27 & 516 & 518.196449047451 & -2.19644904745087 \tabularnewline
28 & 503 & 502.739647337086 & 0.260352662914386 \tabularnewline
29 & 489 & 488.700273022805 & 0.299726977195405 \tabularnewline
30 & 479 & 474.952719296432 & 4.04728070356828 \tabularnewline
31 & 475 & 476.137724903373 & -1.13772490337323 \tabularnewline
32 & 524 & 524.141791723735 & -0.141791723734968 \tabularnewline
33 & 552 & 546.080054557132 & 5.9199454428682 \tabularnewline
34 & 532 & 536.047373222968 & -4.04737322296751 \tabularnewline
35 & 511 & 509.525943624173 & 1.47405637582733 \tabularnewline
36 & 492 & 495.685508668418 & -3.68550866841815 \tabularnewline
37 & 492 & 495.472915080809 & -3.47291508080895 \tabularnewline
38 & 493 & 491.258959391848 & 1.74104060815216 \tabularnewline
39 & 481 & 483.187904618284 & -2.18790461828382 \tabularnewline
40 & 462 & 468.489090665015 & -6.4890906650146 \tabularnewline
41 & 457 & 449.995288504688 & 7.00471149531182 \tabularnewline
42 & 442 & 441.209488563907 & 0.790511436093254 \tabularnewline
43 & 439 & 438.432296730543 & 0.567703269456729 \tabularnewline
44 & 488 & 487.514548846835 & 0.485451153164888 \tabularnewline
45 & 521 & 511.698801498316 & 9.30119850168381 \tabularnewline
46 & 501 & 500.313983495562 & 0.686016504438442 \tabularnewline
47 & 485 & 478.872808758883 & 6.12719124111743 \tabularnewline
48 & 464 & 466.845786380568 & -2.84578638056831 \tabularnewline
49 & 460 & 468.19729790819 & -8.19729790818974 \tabularnewline
50 & 467 & 463.702406520997 & 3.29759347900307 \tabularnewline
51 & 460 & 455.91691471081 & 4.08308528919019 \tabularnewline
52 & 448 & 444.576897952211 & 3.42310204778857 \tabularnewline
53 & 443 & 438.396702870293 & 4.60329712970696 \tabularnewline
54 & 436 & 428.092371641874 & 7.90762835812563 \tabularnewline
55 & 431 & 431.808498521782 & -0.808498521782383 \tabularnewline
56 & 484 & 482.531185348927 & 1.46881465107339 \tabularnewline
57 & 510 & 512.790981695035 & -2.79098169503459 \tabularnewline
58 & 513 & 493.150238761464 & 19.8497612385362 \tabularnewline
59 & 503 & 487.48793720496 & 15.5120627950404 \tabularnewline
60 & 471 & 481.658010883794 & -10.6580108837944 \tabularnewline
61 & 471 & 480.076125558585 & -9.0761255585847 \tabularnewline
62 & 476 & 482.194288543984 & -6.19428854398382 \tabularnewline
63 & 475 & 471.710945409185 & 3.28905459081528 \tabularnewline
64 & 470 & 462.00907496953 & 7.99092503047007 \tabularnewline
65 & 461 & 461.507645838878 & -0.507645838877579 \tabularnewline
66 & 455 & 451.710320362695 & 3.28967963730537 \tabularnewline
67 & 456 & 451.727379268286 & 4.27262073171414 \tabularnewline
68 & 517 & 508.385678878754 & 8.61432112124561 \tabularnewline
69 & 525 & 544.145477438642 & -19.1454774386422 \tabularnewline
70 & 523 & 524.487193281545 & -1.48719328154527 \tabularnewline
71 & 519 & 504.984729111186 & 14.0152708888141 \tabularnewline
72 & 509 & 488.938959183443 & 20.0610408165567 \tabularnewline
73 & 512 & 507.372659187999 & 4.62734081200085 \tabularnewline
74 & 519 & 521.562853780641 & -2.56285378064138 \tabularnewline
75 & 517 & 520.039778076327 & -3.03977807632668 \tabularnewline
76 & 510 & 511.517129536238 & -1.51712953623803 \tabularnewline
77 & 509 & 505.095423045566 & 3.90457695443445 \tabularnewline
78 & 501 & 501.772598073284 & -0.772598073283518 \tabularnewline
79 & 507 & 502.184676938404 & 4.81532306159608 \tabularnewline
80 & 569 & 563.01780987215 & 5.98219012784955 \tabularnewline
81 & 580 & 590.03611688648 & -10.0361168864803 \tabularnewline
82 & 578 & 584.460288781853 & -6.46028878185257 \tabularnewline
83 & 565 & 569.948462752511 & -4.94846275251086 \tabularnewline
84 & 547 & 546.156225096548 & 0.843774903451617 \tabularnewline
85 & 555 & 547.734413280025 & 7.26558671997498 \tabularnewline
86 & 562 & 560.400111681626 & 1.59988831837416 \tabularnewline
87 & 561 & 560.852548961944 & 0.147451038056374 \tabularnewline
88 & 555 & 554.712727410285 & 0.287272589715030 \tabularnewline
89 & 544 & 551.376479813433 & -7.37647981343298 \tabularnewline
90 & 537 & 539.362281843572 & -2.36228184357162 \tabularnewline
91 & 543 & 539.885302340917 & 3.11469765908271 \tabularnewline
92 & 594 & 599.117707236083 & -5.11770723608333 \tabularnewline
93 & 611 & 612.44298398353 & -1.44298398352976 \tabularnewline
94 & 613 & 611.660422746748 & 1.33957725325195 \tabularnewline
95 & 611 & 601.473521940319 & 9.5264780596807 \tabularnewline
96 & 594 & 588.477073522251 & 5.52292647774937 \tabularnewline
97 & 595 & 595.958212719471 & -0.958212719470794 \tabularnewline
98 & 591 & 602.443669385527 & -11.4436693855271 \tabularnewline
99 & 589 & 594.297985819751 & -5.29798581975149 \tabularnewline
100 & 584 & 583.903553214349 & 0.0964467856509827 \tabularnewline
101 & 573 & 576.604137836547 & -3.60413783654667 \tabularnewline
102 & 567 & 567.490813657033 & -0.490813657033186 \tabularnewline
103 & 569 & 570.164782978349 & -1.16478297834851 \tabularnewline
104 & 621 & 623.058241317121 & -2.05824131712086 \tabularnewline
105 & 629 & 638.485012763114 & -9.48501276311413 \tabularnewline
106 & 628 & 632.551993596952 & -4.55199359695166 \tabularnewline
107 & 612 & 619.747267657183 & -7.74726765718276 \tabularnewline
108 & 595 & 592.083036876764 & 2.91696312323563 \tabularnewline
109 & 597 & 592.084614233413 & 4.91538576658729 \tabularnewline
110 & 593 & 595.015223981243 & -2.01522398124337 \tabularnewline
111 & 590 & 591.783596033258 & -1.78359603325805 \tabularnewline
112 & 580 & 583.025111488851 & -3.02511148885139 \tabularnewline
113 & 574 & 570.266364095465 & 3.73363590453494 \tabularnewline
114 & 573 & 564.533621165878 & 8.46637883412166 \tabularnewline
115 & 573 & 570.993511959947 & 2.00648804005334 \tabularnewline
116 & 620 & 624.61759998127 & -4.61759998127036 \tabularnewline
117 & 626 & 635.108087678417 & -9.10808767841718 \tabularnewline
118 & 620 & 630.12118498376 & -10.1211849837600 \tabularnewline
119 & 588 & 611.670769216 & -23.6707692159998 \tabularnewline
120 & 566 & 575.852306177444 & -9.85230617744355 \tabularnewline
121 & 557 & 565.421026998575 & -8.4210269985748 \tabularnewline
122 & 561 & 553.406679702836 & 7.59332029716415 \tabularnewline
123 & 549 & 551.413999630308 & -2.41399963030847 \tabularnewline
124 & 532 & 537.575973156142 & -5.5759731561418 \tabularnewline
125 & 526 & 521.151111546567 & 4.84888845343323 \tabularnewline
126 & 511 & 513.225029526732 & -2.2250295267321 \tabularnewline
127 & 499 & 506.114518842905 & -7.11451884290454 \tabularnewline
128 & 555 & 546.202389126884 & 8.79761087311567 \tabularnewline
129 & 565 & 557.734396870765 & 7.26560312923539 \tabularnewline
130 & 542 & 558.060471976212 & -16.0604719762122 \tabularnewline
131 & 527 & 527.589457089726 & -0.589457089726466 \tabularnewline
132 & 510 & 507.387993626657 & 2.61200637334269 \tabularnewline
133 & 514 & 503.476503227935 & 10.5234967720652 \tabularnewline
134 & 517 & 508.230499698242 & 8.76950030175811 \tabularnewline
135 & 508 & 504.271241317975 & 3.72875868202453 \tabularnewline
136 & 493 & 494.121376006402 & -1.12137600640199 \tabularnewline
137 & 490 & 485.435646356936 & 4.56435364306395 \tabularnewline
138 & 469 & 476.614583647384 & -7.61458364738417 \tabularnewline
139 & 478 & 466.008066852632 & 11.9919331473678 \tabularnewline
140 & 528 & 525.115012099064 & 2.8849879009357 \tabularnewline
141 & 534 & 535.145205022292 & -1.14520502229232 \tabularnewline
142 & 518 & 524.430859087689 & -6.43085908768876 \tabularnewline
143 & 506 & 507.086100147311 & -1.08610014731079 \tabularnewline
144 & 502 & 490.101546930038 & 11.8984530699624 \tabularnewline
145 & 516 & 497.321495401721 & 18.6785045982786 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42271&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]13[/C][C]566[/C][C]577.284722222222[/C][C]-11.2847222222224[/C][/ROW]
[ROW][C]14[/C][C]561[/C][C]565.620730231435[/C][C]-4.62073023143523[/C][/ROW]
[ROW][C]15[/C][C]554[/C][C]554.763910604782[/C][C]-0.7639106047817[/C][/ROW]
[ROW][C]16[/C][C]540[/C][C]538.844887969688[/C][C]1.15511203031224[/C][/ROW]
[ROW][C]17[/C][C]526[/C][C]524.731622123252[/C][C]1.26837787674833[/C][/ROW]
[ROW][C]18[/C][C]512[/C][C]511.250864069776[/C][C]0.749135930223645[/C][/ROW]
[ROW][C]19[/C][C]505[/C][C]512.709712313483[/C][C]-7.70971231348324[/C][/ROW]
[ROW][C]20[/C][C]554[/C][C]552.610991911792[/C][C]1.38900808820767[/C][/ROW]
[ROW][C]21[/C][C]584[/C][C]569.921437633817[/C][C]14.0785623661826[/C][/ROW]
[ROW][C]22[/C][C]569[/C][C]568.683646174791[/C][C]0.316353825209148[/C][/ROW]
[ROW][C]23[/C][C]540[/C][C]547.018450278338[/C][C]-7.0184502783377[/C][/ROW]
[ROW][C]24[/C][C]522[/C][C]526.821910005568[/C][C]-4.8219100055685[/C][/ROW]
[ROW][C]25[/C][C]526[/C][C]522.068602797306[/C][C]3.93139720269426[/C][/ROW]
[ROW][C]26[/C][C]527[/C][C]521.054200118192[/C][C]5.94579988180806[/C][/ROW]
[ROW][C]27[/C][C]516[/C][C]518.196449047451[/C][C]-2.19644904745087[/C][/ROW]
[ROW][C]28[/C][C]503[/C][C]502.739647337086[/C][C]0.260352662914386[/C][/ROW]
[ROW][C]29[/C][C]489[/C][C]488.700273022805[/C][C]0.299726977195405[/C][/ROW]
[ROW][C]30[/C][C]479[/C][C]474.952719296432[/C][C]4.04728070356828[/C][/ROW]
[ROW][C]31[/C][C]475[/C][C]476.137724903373[/C][C]-1.13772490337323[/C][/ROW]
[ROW][C]32[/C][C]524[/C][C]524.141791723735[/C][C]-0.141791723734968[/C][/ROW]
[ROW][C]33[/C][C]552[/C][C]546.080054557132[/C][C]5.9199454428682[/C][/ROW]
[ROW][C]34[/C][C]532[/C][C]536.047373222968[/C][C]-4.04737322296751[/C][/ROW]
[ROW][C]35[/C][C]511[/C][C]509.525943624173[/C][C]1.47405637582733[/C][/ROW]
[ROW][C]36[/C][C]492[/C][C]495.685508668418[/C][C]-3.68550866841815[/C][/ROW]
[ROW][C]37[/C][C]492[/C][C]495.472915080809[/C][C]-3.47291508080895[/C][/ROW]
[ROW][C]38[/C][C]493[/C][C]491.258959391848[/C][C]1.74104060815216[/C][/ROW]
[ROW][C]39[/C][C]481[/C][C]483.187904618284[/C][C]-2.18790461828382[/C][/ROW]
[ROW][C]40[/C][C]462[/C][C]468.489090665015[/C][C]-6.4890906650146[/C][/ROW]
[ROW][C]41[/C][C]457[/C][C]449.995288504688[/C][C]7.00471149531182[/C][/ROW]
[ROW][C]42[/C][C]442[/C][C]441.209488563907[/C][C]0.790511436093254[/C][/ROW]
[ROW][C]43[/C][C]439[/C][C]438.432296730543[/C][C]0.567703269456729[/C][/ROW]
[ROW][C]44[/C][C]488[/C][C]487.514548846835[/C][C]0.485451153164888[/C][/ROW]
[ROW][C]45[/C][C]521[/C][C]511.698801498316[/C][C]9.30119850168381[/C][/ROW]
[ROW][C]46[/C][C]501[/C][C]500.313983495562[/C][C]0.686016504438442[/C][/ROW]
[ROW][C]47[/C][C]485[/C][C]478.872808758883[/C][C]6.12719124111743[/C][/ROW]
[ROW][C]48[/C][C]464[/C][C]466.845786380568[/C][C]-2.84578638056831[/C][/ROW]
[ROW][C]49[/C][C]460[/C][C]468.19729790819[/C][C]-8.19729790818974[/C][/ROW]
[ROW][C]50[/C][C]467[/C][C]463.702406520997[/C][C]3.29759347900307[/C][/ROW]
[ROW][C]51[/C][C]460[/C][C]455.91691471081[/C][C]4.08308528919019[/C][/ROW]
[ROW][C]52[/C][C]448[/C][C]444.576897952211[/C][C]3.42310204778857[/C][/ROW]
[ROW][C]53[/C][C]443[/C][C]438.396702870293[/C][C]4.60329712970696[/C][/ROW]
[ROW][C]54[/C][C]436[/C][C]428.092371641874[/C][C]7.90762835812563[/C][/ROW]
[ROW][C]55[/C][C]431[/C][C]431.808498521782[/C][C]-0.808498521782383[/C][/ROW]
[ROW][C]56[/C][C]484[/C][C]482.531185348927[/C][C]1.46881465107339[/C][/ROW]
[ROW][C]57[/C][C]510[/C][C]512.790981695035[/C][C]-2.79098169503459[/C][/ROW]
[ROW][C]58[/C][C]513[/C][C]493.150238761464[/C][C]19.8497612385362[/C][/ROW]
[ROW][C]59[/C][C]503[/C][C]487.48793720496[/C][C]15.5120627950404[/C][/ROW]
[ROW][C]60[/C][C]471[/C][C]481.658010883794[/C][C]-10.6580108837944[/C][/ROW]
[ROW][C]61[/C][C]471[/C][C]480.076125558585[/C][C]-9.0761255585847[/C][/ROW]
[ROW][C]62[/C][C]476[/C][C]482.194288543984[/C][C]-6.19428854398382[/C][/ROW]
[ROW][C]63[/C][C]475[/C][C]471.710945409185[/C][C]3.28905459081528[/C][/ROW]
[ROW][C]64[/C][C]470[/C][C]462.00907496953[/C][C]7.99092503047007[/C][/ROW]
[ROW][C]65[/C][C]461[/C][C]461.507645838878[/C][C]-0.507645838877579[/C][/ROW]
[ROW][C]66[/C][C]455[/C][C]451.710320362695[/C][C]3.28967963730537[/C][/ROW]
[ROW][C]67[/C][C]456[/C][C]451.727379268286[/C][C]4.27262073171414[/C][/ROW]
[ROW][C]68[/C][C]517[/C][C]508.385678878754[/C][C]8.61432112124561[/C][/ROW]
[ROW][C]69[/C][C]525[/C][C]544.145477438642[/C][C]-19.1454774386422[/C][/ROW]
[ROW][C]70[/C][C]523[/C][C]524.487193281545[/C][C]-1.48719328154527[/C][/ROW]
[ROW][C]71[/C][C]519[/C][C]504.984729111186[/C][C]14.0152708888141[/C][/ROW]
[ROW][C]72[/C][C]509[/C][C]488.938959183443[/C][C]20.0610408165567[/C][/ROW]
[ROW][C]73[/C][C]512[/C][C]507.372659187999[/C][C]4.62734081200085[/C][/ROW]
[ROW][C]74[/C][C]519[/C][C]521.562853780641[/C][C]-2.56285378064138[/C][/ROW]
[ROW][C]75[/C][C]517[/C][C]520.039778076327[/C][C]-3.03977807632668[/C][/ROW]
[ROW][C]76[/C][C]510[/C][C]511.517129536238[/C][C]-1.51712953623803[/C][/ROW]
[ROW][C]77[/C][C]509[/C][C]505.095423045566[/C][C]3.90457695443445[/C][/ROW]
[ROW][C]78[/C][C]501[/C][C]501.772598073284[/C][C]-0.772598073283518[/C][/ROW]
[ROW][C]79[/C][C]507[/C][C]502.184676938404[/C][C]4.81532306159608[/C][/ROW]
[ROW][C]80[/C][C]569[/C][C]563.01780987215[/C][C]5.98219012784955[/C][/ROW]
[ROW][C]81[/C][C]580[/C][C]590.03611688648[/C][C]-10.0361168864803[/C][/ROW]
[ROW][C]82[/C][C]578[/C][C]584.460288781853[/C][C]-6.46028878185257[/C][/ROW]
[ROW][C]83[/C][C]565[/C][C]569.948462752511[/C][C]-4.94846275251086[/C][/ROW]
[ROW][C]84[/C][C]547[/C][C]546.156225096548[/C][C]0.843774903451617[/C][/ROW]
[ROW][C]85[/C][C]555[/C][C]547.734413280025[/C][C]7.26558671997498[/C][/ROW]
[ROW][C]86[/C][C]562[/C][C]560.400111681626[/C][C]1.59988831837416[/C][/ROW]
[ROW][C]87[/C][C]561[/C][C]560.852548961944[/C][C]0.147451038056374[/C][/ROW]
[ROW][C]88[/C][C]555[/C][C]554.712727410285[/C][C]0.287272589715030[/C][/ROW]
[ROW][C]89[/C][C]544[/C][C]551.376479813433[/C][C]-7.37647981343298[/C][/ROW]
[ROW][C]90[/C][C]537[/C][C]539.362281843572[/C][C]-2.36228184357162[/C][/ROW]
[ROW][C]91[/C][C]543[/C][C]539.885302340917[/C][C]3.11469765908271[/C][/ROW]
[ROW][C]92[/C][C]594[/C][C]599.117707236083[/C][C]-5.11770723608333[/C][/ROW]
[ROW][C]93[/C][C]611[/C][C]612.44298398353[/C][C]-1.44298398352976[/C][/ROW]
[ROW][C]94[/C][C]613[/C][C]611.660422746748[/C][C]1.33957725325195[/C][/ROW]
[ROW][C]95[/C][C]611[/C][C]601.473521940319[/C][C]9.5264780596807[/C][/ROW]
[ROW][C]96[/C][C]594[/C][C]588.477073522251[/C][C]5.52292647774937[/C][/ROW]
[ROW][C]97[/C][C]595[/C][C]595.958212719471[/C][C]-0.958212719470794[/C][/ROW]
[ROW][C]98[/C][C]591[/C][C]602.443669385527[/C][C]-11.4436693855271[/C][/ROW]
[ROW][C]99[/C][C]589[/C][C]594.297985819751[/C][C]-5.29798581975149[/C][/ROW]
[ROW][C]100[/C][C]584[/C][C]583.903553214349[/C][C]0.0964467856509827[/C][/ROW]
[ROW][C]101[/C][C]573[/C][C]576.604137836547[/C][C]-3.60413783654667[/C][/ROW]
[ROW][C]102[/C][C]567[/C][C]567.490813657033[/C][C]-0.490813657033186[/C][/ROW]
[ROW][C]103[/C][C]569[/C][C]570.164782978349[/C][C]-1.16478297834851[/C][/ROW]
[ROW][C]104[/C][C]621[/C][C]623.058241317121[/C][C]-2.05824131712086[/C][/ROW]
[ROW][C]105[/C][C]629[/C][C]638.485012763114[/C][C]-9.48501276311413[/C][/ROW]
[ROW][C]106[/C][C]628[/C][C]632.551993596952[/C][C]-4.55199359695166[/C][/ROW]
[ROW][C]107[/C][C]612[/C][C]619.747267657183[/C][C]-7.74726765718276[/C][/ROW]
[ROW][C]108[/C][C]595[/C][C]592.083036876764[/C][C]2.91696312323563[/C][/ROW]
[ROW][C]109[/C][C]597[/C][C]592.084614233413[/C][C]4.91538576658729[/C][/ROW]
[ROW][C]110[/C][C]593[/C][C]595.015223981243[/C][C]-2.01522398124337[/C][/ROW]
[ROW][C]111[/C][C]590[/C][C]591.783596033258[/C][C]-1.78359603325805[/C][/ROW]
[ROW][C]112[/C][C]580[/C][C]583.025111488851[/C][C]-3.02511148885139[/C][/ROW]
[ROW][C]113[/C][C]574[/C][C]570.266364095465[/C][C]3.73363590453494[/C][/ROW]
[ROW][C]114[/C][C]573[/C][C]564.533621165878[/C][C]8.46637883412166[/C][/ROW]
[ROW][C]115[/C][C]573[/C][C]570.993511959947[/C][C]2.00648804005334[/C][/ROW]
[ROW][C]116[/C][C]620[/C][C]624.61759998127[/C][C]-4.61759998127036[/C][/ROW]
[ROW][C]117[/C][C]626[/C][C]635.108087678417[/C][C]-9.10808767841718[/C][/ROW]
[ROW][C]118[/C][C]620[/C][C]630.12118498376[/C][C]-10.1211849837600[/C][/ROW]
[ROW][C]119[/C][C]588[/C][C]611.670769216[/C][C]-23.6707692159998[/C][/ROW]
[ROW][C]120[/C][C]566[/C][C]575.852306177444[/C][C]-9.85230617744355[/C][/ROW]
[ROW][C]121[/C][C]557[/C][C]565.421026998575[/C][C]-8.4210269985748[/C][/ROW]
[ROW][C]122[/C][C]561[/C][C]553.406679702836[/C][C]7.59332029716415[/C][/ROW]
[ROW][C]123[/C][C]549[/C][C]551.413999630308[/C][C]-2.41399963030847[/C][/ROW]
[ROW][C]124[/C][C]532[/C][C]537.575973156142[/C][C]-5.5759731561418[/C][/ROW]
[ROW][C]125[/C][C]526[/C][C]521.151111546567[/C][C]4.84888845343323[/C][/ROW]
[ROW][C]126[/C][C]511[/C][C]513.225029526732[/C][C]-2.2250295267321[/C][/ROW]
[ROW][C]127[/C][C]499[/C][C]506.114518842905[/C][C]-7.11451884290454[/C][/ROW]
[ROW][C]128[/C][C]555[/C][C]546.202389126884[/C][C]8.79761087311567[/C][/ROW]
[ROW][C]129[/C][C]565[/C][C]557.734396870765[/C][C]7.26560312923539[/C][/ROW]
[ROW][C]130[/C][C]542[/C][C]558.060471976212[/C][C]-16.0604719762122[/C][/ROW]
[ROW][C]131[/C][C]527[/C][C]527.589457089726[/C][C]-0.589457089726466[/C][/ROW]
[ROW][C]132[/C][C]510[/C][C]507.387993626657[/C][C]2.61200637334269[/C][/ROW]
[ROW][C]133[/C][C]514[/C][C]503.476503227935[/C][C]10.5234967720652[/C][/ROW]
[ROW][C]134[/C][C]517[/C][C]508.230499698242[/C][C]8.76950030175811[/C][/ROW]
[ROW][C]135[/C][C]508[/C][C]504.271241317975[/C][C]3.72875868202453[/C][/ROW]
[ROW][C]136[/C][C]493[/C][C]494.121376006402[/C][C]-1.12137600640199[/C][/ROW]
[ROW][C]137[/C][C]490[/C][C]485.435646356936[/C][C]4.56435364306395[/C][/ROW]
[ROW][C]138[/C][C]469[/C][C]476.614583647384[/C][C]-7.61458364738417[/C][/ROW]
[ROW][C]139[/C][C]478[/C][C]466.008066852632[/C][C]11.9919331473678[/C][/ROW]
[ROW][C]140[/C][C]528[/C][C]525.115012099064[/C][C]2.8849879009357[/C][/ROW]
[ROW][C]141[/C][C]534[/C][C]535.145205022292[/C][C]-1.14520502229232[/C][/ROW]
[ROW][C]142[/C][C]518[/C][C]524.430859087689[/C][C]-6.43085908768876[/C][/ROW]
[ROW][C]143[/C][C]506[/C][C]507.086100147311[/C][C]-1.08610014731079[/C][/ROW]
[ROW][C]144[/C][C]502[/C][C]490.101546930038[/C][C]11.8984530699624[/C][/ROW]
[ROW][C]145[/C][C]516[/C][C]497.321495401721[/C][C]18.6785045982786[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42271&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42271&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
13566577.284722222222-11.2847222222224
14561565.620730231435-4.62073023143523
15554554.763910604782-0.7639106047817
16540538.8448879696881.15511203031224
17526524.7316221232521.26837787674833
18512511.2508640697760.749135930223645
19505512.709712313483-7.70971231348324
20554552.6109919117921.38900808820767
21584569.92143763381714.0785623661826
22569568.6836461747910.316353825209148
23540547.018450278338-7.0184502783377
24522526.821910005568-4.8219100055685
25526522.0686027973063.93139720269426
26527521.0542001181925.94579988180806
27516518.196449047451-2.19644904745087
28503502.7396473370860.260352662914386
29489488.7002730228050.299726977195405
30479474.9527192964324.04728070356828
31475476.137724903373-1.13772490337323
32524524.141791723735-0.141791723734968
33552546.0800545571325.9199454428682
34532536.047373222968-4.04737322296751
35511509.5259436241731.47405637582733
36492495.685508668418-3.68550866841815
37492495.472915080809-3.47291508080895
38493491.2589593918481.74104060815216
39481483.187904618284-2.18790461828382
40462468.489090665015-6.4890906650146
41457449.9952885046887.00471149531182
42442441.2094885639070.790511436093254
43439438.4322967305430.567703269456729
44488487.5145488468350.485451153164888
45521511.6988014983169.30119850168381
46501500.3139834955620.686016504438442
47485478.8728087588836.12719124111743
48464466.845786380568-2.84578638056831
49460468.19729790819-8.19729790818974
50467463.7024065209973.29759347900307
51460455.916914710814.08308528919019
52448444.5768979522113.42310204778857
53443438.3967028702934.60329712970696
54436428.0923716418747.90762835812563
55431431.808498521782-0.808498521782383
56484482.5311853489271.46881465107339
57510512.790981695035-2.79098169503459
58513493.15023876146419.8497612385362
59503487.4879372049615.5120627950404
60471481.658010883794-10.6580108837944
61471480.076125558585-9.0761255585847
62476482.194288543984-6.19428854398382
63475471.7109454091853.28905459081528
64470462.009074969537.99092503047007
65461461.507645838878-0.507645838877579
66455451.7103203626953.28967963730537
67456451.7273792682864.27262073171414
68517508.3856788787548.61432112124561
69525544.145477438642-19.1454774386422
70523524.487193281545-1.48719328154527
71519504.98472911118614.0152708888141
72509488.93895918344320.0610408165567
73512507.3726591879994.62734081200085
74519521.562853780641-2.56285378064138
75517520.039778076327-3.03977807632668
76510511.517129536238-1.51712953623803
77509505.0954230455663.90457695443445
78501501.772598073284-0.772598073283518
79507502.1846769384044.81532306159608
80569563.017809872155.98219012784955
81580590.03611688648-10.0361168864803
82578584.460288781853-6.46028878185257
83565569.948462752511-4.94846275251086
84547546.1562250965480.843774903451617
85555547.7344132800257.26558671997498
86562560.4001116816261.59988831837416
87561560.8525489619440.147451038056374
88555554.7127274102850.287272589715030
89544551.376479813433-7.37647981343298
90537539.362281843572-2.36228184357162
91543539.8853023409173.11469765908271
92594599.117707236083-5.11770723608333
93611612.44298398353-1.44298398352976
94613611.6604227467481.33957725325195
95611601.4735219403199.5264780596807
96594588.4770735222515.52292647774937
97595595.958212719471-0.958212719470794
98591602.443669385527-11.4436693855271
99589594.297985819751-5.29798581975149
100584583.9035532143490.0964467856509827
101573576.604137836547-3.60413783654667
102567567.490813657033-0.490813657033186
103569570.164782978349-1.16478297834851
104621623.058241317121-2.05824131712086
105629638.485012763114-9.48501276311413
106628632.551993596952-4.55199359695166
107612619.747267657183-7.74726765718276
108595592.0830368767642.91696312323563
109597592.0846142334134.91538576658729
110593595.015223981243-2.01522398124337
111590591.783596033258-1.78359603325805
112580583.025111488851-3.02511148885139
113574570.2663640954653.73363590453494
114573564.5336211658788.46637883412166
115573570.9935119599472.00648804005334
116620624.61759998127-4.61759998127036
117626635.108087678417-9.10808767841718
118620630.12118498376-10.1211849837600
119588611.670769216-23.6707692159998
120566575.852306177444-9.85230617744355
121557565.421026998575-8.4210269985748
122561553.4066797028367.59332029716415
123549551.413999630308-2.41399963030847
124532537.575973156142-5.5759731561418
125526521.1511115465674.84888845343323
126511513.225029526732-2.2250295267321
127499506.114518842905-7.11451884290454
128555546.2023891268848.79761087311567
129565557.7343968707657.26560312923539
130542558.060471976212-16.0604719762122
131527527.589457089726-0.589457089726466
132510507.3879936266572.61200637334269
133514503.47650322793510.5234967720652
134517508.2304996982428.76950030175811
135508504.2712413179753.72875868202453
136493494.121376006402-1.12137600640199
137490485.4356463569364.56435364306395
138469476.614583647384-7.61458364738417
139478466.00806685263211.9919331473678
140528525.1150120990642.8849879009357
141534535.145205022292-1.14520502229232
142518524.430859087689-6.43085908768876
143506507.086100147311-1.08610014731079
144502490.10154693003811.8984530699624
145516497.32149540172118.6785045982786







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
146509.998058714981496.139657338332523.856460091631
147502.555284399856486.026979372301519.08358942741
148491.499401708899472.069960130277510.928843287521
149488.312834222588465.775725346407510.849943098768
150475.327174772423449.494054843463501.160294701384
151478.867139664298449.563545768332508.170733560265
152530.290606951614497.353031824949563.22818207828
153539.236197152081502.510037617764575.962356686397
154529.379206357434488.717277962108570.04113475276
155520.036451135329475.297880258004564.775022012653
156510.734041243188461.783416191436559.68466629494
157515.184694152273461.891398925546568.477989378999

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
146 & 509.998058714981 & 496.139657338332 & 523.856460091631 \tabularnewline
147 & 502.555284399856 & 486.026979372301 & 519.08358942741 \tabularnewline
148 & 491.499401708899 & 472.069960130277 & 510.928843287521 \tabularnewline
149 & 488.312834222588 & 465.775725346407 & 510.849943098768 \tabularnewline
150 & 475.327174772423 & 449.494054843463 & 501.160294701384 \tabularnewline
151 & 478.867139664298 & 449.563545768332 & 508.170733560265 \tabularnewline
152 & 530.290606951614 & 497.353031824949 & 563.22818207828 \tabularnewline
153 & 539.236197152081 & 502.510037617764 & 575.962356686397 \tabularnewline
154 & 529.379206357434 & 488.717277962108 & 570.04113475276 \tabularnewline
155 & 520.036451135329 & 475.297880258004 & 564.775022012653 \tabularnewline
156 & 510.734041243188 & 461.783416191436 & 559.68466629494 \tabularnewline
157 & 515.184694152273 & 461.891398925546 & 568.477989378999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42271&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]146[/C][C]509.998058714981[/C][C]496.139657338332[/C][C]523.856460091631[/C][/ROW]
[ROW][C]147[/C][C]502.555284399856[/C][C]486.026979372301[/C][C]519.08358942741[/C][/ROW]
[ROW][C]148[/C][C]491.499401708899[/C][C]472.069960130277[/C][C]510.928843287521[/C][/ROW]
[ROW][C]149[/C][C]488.312834222588[/C][C]465.775725346407[/C][C]510.849943098768[/C][/ROW]
[ROW][C]150[/C][C]475.327174772423[/C][C]449.494054843463[/C][C]501.160294701384[/C][/ROW]
[ROW][C]151[/C][C]478.867139664298[/C][C]449.563545768332[/C][C]508.170733560265[/C][/ROW]
[ROW][C]152[/C][C]530.290606951614[/C][C]497.353031824949[/C][C]563.22818207828[/C][/ROW]
[ROW][C]153[/C][C]539.236197152081[/C][C]502.510037617764[/C][C]575.962356686397[/C][/ROW]
[ROW][C]154[/C][C]529.379206357434[/C][C]488.717277962108[/C][C]570.04113475276[/C][/ROW]
[ROW][C]155[/C][C]520.036451135329[/C][C]475.297880258004[/C][C]564.775022012653[/C][/ROW]
[ROW][C]156[/C][C]510.734041243188[/C][C]461.783416191436[/C][C]559.68466629494[/C][/ROW]
[ROW][C]157[/C][C]515.184694152273[/C][C]461.891398925546[/C][C]568.477989378999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42271&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42271&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
146509.998058714981496.139657338332523.856460091631
147502.555284399856486.026979372301519.08358942741
148491.499401708899472.069960130277510.928843287521
149488.312834222588465.775725346407510.849943098768
150475.327174772423449.494054843463501.160294701384
151478.867139664298449.563545768332508.170733560265
152530.290606951614497.353031824949563.22818207828
153539.236197152081502.510037617764575.962356686397
154529.379206357434488.717277962108570.04113475276
155520.036451135329475.297880258004564.775022012653
156510.734041243188461.783416191436559.68466629494
157515.184694152273461.891398925546568.477989378999



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; 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')