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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 computationTue, 06 Dec 2011 09:39:17 -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/2011/Dec/06/t13231823713xerhtuqcd3fow1.htm/, Retrieved Sun, 28 Apr 2024 21:18:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151627, Retrieved Sun, 28 Apr 2024 21:18:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Decomposition by Loess] [HPC Retail Sales] [2008-03-06 11:35:25] [74be16979710d4c4e7c6647856088456]
- RMPD    [Exponential Smoothing] [paper] [2011-12-06 14:39:17] [13dfa60174f50d862e8699db2153bfc5] [Current]
- R P       [Exponential Smoothing] [paper Smoothin (3)] [2011-12-09 13:50:20] [7e261c986c934df955dd3ac53e9d45c6]
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Dataseries X:
617
614
647
580
614
636
388
356
639
753
611
639
630
586
695
552
619
681
421
307
754
690
644
643
608
651
691
627
634
731
475
337
803
722
590
724
627
696
825
677
656
785
412
352
839
729
696
641
695
638
762
635
721
854
418
367
824
687
601
676
740
691
683
594
729
731
386
331
706
715
657
653
642
643
718
654
632
731
392
344
792
852
649
629
685
617
715
715
629
916
531
357
917
828
708
858
775
785
1006
789
734
906
532
387
991
841
892
782
811
792
978
773
796
946
594
438
1023
868
791
760
779
852
1001
734
996
869
599
426
1138




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151627&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151627&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151627&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.071392519971865
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.071392519971865 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151627&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]0.071392519971865[/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=151627&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151627&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
alpha0.071392519971865
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2614617-3
3647616.78582244008430.2141775599156
4580618.942888714964-38.9428887149642
5614616.162657754619-2.16265775461898
6636616.0082601676819.9917398323199
7388617.435520852931-229.435520852931
8356601.055540848183-245.055540848183
9639583.56040825396355.439591746037
10753587.518380414924165.481619585076
11611599.33253024612811.667469753872
12639600.16550031355238.8344996864475
13630602.93799310801527.0620068919854
14586604.870017975529-18.8700179755293
15695603.52283984034291.4771601596581
16552610.05362482401-58.0536248240098
17619605.90903025432313.0909697456774
18681606.84362757334274.1563724266581
19421612.137837872853-191.137837872853
20307598.492025965136-291.492025965136
21754577.681675679781176.318324320219
22690590.26948517021899.730514829782
23644597.38949794200846.6105020579924
24643600.71713914108142.2828608589185
25608603.7358191294194.26418087058062
26651604.04024974738646.9597502526141
27691607.39282465516983.6071753448306
28627613.36175159076613.6382484092336
29634614.33542051270419.6645794872961
30731615.739324396489115.260675603511
31475623.968074481483-148.968074481483
32337613.332868248894-276.332868248894
33803593.604768433552209.395231566448
34722608.554021685173113.445978314827
35590616.653215957742-26.6532159577418
36724614.750375705164109.249624294836
37627622.5499816895524.45001831044794
38696622.86767971065673.1323202893441
39825628.088780347502196.911219652498
40677642.14676852922734.853231470773
41656644.63502855308811.3649714469118
42785645.446402504092139.553597495908
43412655.409485500464-243.409485500464
44352638.031868945531-286.031868945531
45839617.611333029247221.388666970753
46729633.41682785750195.5831721424989
47696640.24075138365955.7592486163413
48641644.221544654117-3.221544654117
49695643.99155046305851.0084495369423
50638647.633172215358-9.63317221535772
51762646.94543577558115.05456422442
52635655.159471049826-20.1594710498264
53721653.72023561027967.2797643897206
54854658.523507533175195.476492466825
55418672.479066925643-254.479066925643
56367654.311165057732-287.311165057732
57824633.799296968208190.200703031792
58687647.37820445806839.6217955419316
59601650.206904287617-49.2069042876169
60676646.6938993905129.3061006094904
61740648.7861357635791.2138642364299
62691655.2981233877835.7018766122196
63683657.84697032685125.1530296731487
64594659.642708500145-65.6427085001445
65729654.95631012254174.0436898774593
66731660.24247573090870.7575242690922
67386665.294033695449-279.294033695449
68331645.354528816824-314.354528816824
69706622.91196684002283.0880331599776
70715628.84383090681986.1561690931809
71657634.99473692950322.0052630704967
72653636.5657481127516.4342518872501
73642637.7390307688334.26096923116688
74643638.0432320997694.95676790023128
75718638.39710825108279.6028917489181
76654644.0801592900859.91984070991521
77632644.788361716085-12.7883617160851
78731643.87536834686287.124631653138
79392650.0954153522-258.0954153522
80344631.669333257021-287.669333257021
81792611.131894637176180.868105362824
82852624.044524461565227.955475538435
83649640.3188403016398.68115969836117
84629640.938610168783-11.938610168783
85685640.08628270387244.9137172961281
86617643.292786162946-26.2927861629464
87715641.41567790169273.5843220983077
88715646.66904808671268.3309519132881
89629651.547366935878-22.5473669358779
90916649.937653591595266.062346408405
91531668.932514971318-137.932514971318
92357659.085165141459-302.085165141459
93917637.518543955893279.481456044107
94828657.471429388288170.528570611712
95708669.64589377145838.3541062285418
96858672.384090066382185.615909933618
97775685.63567762341489.3643223765858
98785692.01562179345792.9843782065433
991006698.654010871639307.345989128361
100789720.59621553875868.4037844612421
101734725.4797340870588.5202659129418
102906726.088017341414179.911982658586
103532738.932387156544-206.932387156544
104387724.158962573645-337.158962573645
105991700.088334604413290.911665395587
106841720.857251486216120.142748513784
107892729.434545058961162.565454941039
108782741.04050254757440.9594974524256
109811743.96470428748467.0352957125158
110792748.7505229754643.2494770245402
111978751.838212127707226.161787872293
112773767.9844720852525.01552791474762
113796768.34254326207527.6574567379246
114946770.317078794609175.682921205391
115594782.85952525548-188.85952525548
116438769.376367826801-331.376367826801
1171023745.718573868522277.281426131478
118868765.514393621441102.485606378559
119791772.83109932165118.1689006783489
120760774.128222926197-14.1282229261969
121779773.1195734887715.88042651122851
122852773.53939195591778.4606080440825
1231001779.140892482709221.859107517291
124734794.979973247078-60.9799732470776
125996790.626459289152205.373540710848
126869805.28859389604463.7114061039563
127599809.837111728756-210.837111728756
128426794.78491901885-368.78491901885
1291138768.456434322475369.543565677525

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 614 & 617 & -3 \tabularnewline
3 & 647 & 616.785822440084 & 30.2141775599156 \tabularnewline
4 & 580 & 618.942888714964 & -38.9428887149642 \tabularnewline
5 & 614 & 616.162657754619 & -2.16265775461898 \tabularnewline
6 & 636 & 616.00826016768 & 19.9917398323199 \tabularnewline
7 & 388 & 617.435520852931 & -229.435520852931 \tabularnewline
8 & 356 & 601.055540848183 & -245.055540848183 \tabularnewline
9 & 639 & 583.560408253963 & 55.439591746037 \tabularnewline
10 & 753 & 587.518380414924 & 165.481619585076 \tabularnewline
11 & 611 & 599.332530246128 & 11.667469753872 \tabularnewline
12 & 639 & 600.165500313552 & 38.8344996864475 \tabularnewline
13 & 630 & 602.937993108015 & 27.0620068919854 \tabularnewline
14 & 586 & 604.870017975529 & -18.8700179755293 \tabularnewline
15 & 695 & 603.522839840342 & 91.4771601596581 \tabularnewline
16 & 552 & 610.05362482401 & -58.0536248240098 \tabularnewline
17 & 619 & 605.909030254323 & 13.0909697456774 \tabularnewline
18 & 681 & 606.843627573342 & 74.1563724266581 \tabularnewline
19 & 421 & 612.137837872853 & -191.137837872853 \tabularnewline
20 & 307 & 598.492025965136 & -291.492025965136 \tabularnewline
21 & 754 & 577.681675679781 & 176.318324320219 \tabularnewline
22 & 690 & 590.269485170218 & 99.730514829782 \tabularnewline
23 & 644 & 597.389497942008 & 46.6105020579924 \tabularnewline
24 & 643 & 600.717139141081 & 42.2828608589185 \tabularnewline
25 & 608 & 603.735819129419 & 4.26418087058062 \tabularnewline
26 & 651 & 604.040249747386 & 46.9597502526141 \tabularnewline
27 & 691 & 607.392824655169 & 83.6071753448306 \tabularnewline
28 & 627 & 613.361751590766 & 13.6382484092336 \tabularnewline
29 & 634 & 614.335420512704 & 19.6645794872961 \tabularnewline
30 & 731 & 615.739324396489 & 115.260675603511 \tabularnewline
31 & 475 & 623.968074481483 & -148.968074481483 \tabularnewline
32 & 337 & 613.332868248894 & -276.332868248894 \tabularnewline
33 & 803 & 593.604768433552 & 209.395231566448 \tabularnewline
34 & 722 & 608.554021685173 & 113.445978314827 \tabularnewline
35 & 590 & 616.653215957742 & -26.6532159577418 \tabularnewline
36 & 724 & 614.750375705164 & 109.249624294836 \tabularnewline
37 & 627 & 622.549981689552 & 4.45001831044794 \tabularnewline
38 & 696 & 622.867679710656 & 73.1323202893441 \tabularnewline
39 & 825 & 628.088780347502 & 196.911219652498 \tabularnewline
40 & 677 & 642.146768529227 & 34.853231470773 \tabularnewline
41 & 656 & 644.635028553088 & 11.3649714469118 \tabularnewline
42 & 785 & 645.446402504092 & 139.553597495908 \tabularnewline
43 & 412 & 655.409485500464 & -243.409485500464 \tabularnewline
44 & 352 & 638.031868945531 & -286.031868945531 \tabularnewline
45 & 839 & 617.611333029247 & 221.388666970753 \tabularnewline
46 & 729 & 633.416827857501 & 95.5831721424989 \tabularnewline
47 & 696 & 640.240751383659 & 55.7592486163413 \tabularnewline
48 & 641 & 644.221544654117 & -3.221544654117 \tabularnewline
49 & 695 & 643.991550463058 & 51.0084495369423 \tabularnewline
50 & 638 & 647.633172215358 & -9.63317221535772 \tabularnewline
51 & 762 & 646.94543577558 & 115.05456422442 \tabularnewline
52 & 635 & 655.159471049826 & -20.1594710498264 \tabularnewline
53 & 721 & 653.720235610279 & 67.2797643897206 \tabularnewline
54 & 854 & 658.523507533175 & 195.476492466825 \tabularnewline
55 & 418 & 672.479066925643 & -254.479066925643 \tabularnewline
56 & 367 & 654.311165057732 & -287.311165057732 \tabularnewline
57 & 824 & 633.799296968208 & 190.200703031792 \tabularnewline
58 & 687 & 647.378204458068 & 39.6217955419316 \tabularnewline
59 & 601 & 650.206904287617 & -49.2069042876169 \tabularnewline
60 & 676 & 646.69389939051 & 29.3061006094904 \tabularnewline
61 & 740 & 648.78613576357 & 91.2138642364299 \tabularnewline
62 & 691 & 655.29812338778 & 35.7018766122196 \tabularnewline
63 & 683 & 657.846970326851 & 25.1530296731487 \tabularnewline
64 & 594 & 659.642708500145 & -65.6427085001445 \tabularnewline
65 & 729 & 654.956310122541 & 74.0436898774593 \tabularnewline
66 & 731 & 660.242475730908 & 70.7575242690922 \tabularnewline
67 & 386 & 665.294033695449 & -279.294033695449 \tabularnewline
68 & 331 & 645.354528816824 & -314.354528816824 \tabularnewline
69 & 706 & 622.911966840022 & 83.0880331599776 \tabularnewline
70 & 715 & 628.843830906819 & 86.1561690931809 \tabularnewline
71 & 657 & 634.994736929503 & 22.0052630704967 \tabularnewline
72 & 653 & 636.56574811275 & 16.4342518872501 \tabularnewline
73 & 642 & 637.739030768833 & 4.26096923116688 \tabularnewline
74 & 643 & 638.043232099769 & 4.95676790023128 \tabularnewline
75 & 718 & 638.397108251082 & 79.6028917489181 \tabularnewline
76 & 654 & 644.080159290085 & 9.91984070991521 \tabularnewline
77 & 632 & 644.788361716085 & -12.7883617160851 \tabularnewline
78 & 731 & 643.875368346862 & 87.124631653138 \tabularnewline
79 & 392 & 650.0954153522 & -258.0954153522 \tabularnewline
80 & 344 & 631.669333257021 & -287.669333257021 \tabularnewline
81 & 792 & 611.131894637176 & 180.868105362824 \tabularnewline
82 & 852 & 624.044524461565 & 227.955475538435 \tabularnewline
83 & 649 & 640.318840301639 & 8.68115969836117 \tabularnewline
84 & 629 & 640.938610168783 & -11.938610168783 \tabularnewline
85 & 685 & 640.086282703872 & 44.9137172961281 \tabularnewline
86 & 617 & 643.292786162946 & -26.2927861629464 \tabularnewline
87 & 715 & 641.415677901692 & 73.5843220983077 \tabularnewline
88 & 715 & 646.669048086712 & 68.3309519132881 \tabularnewline
89 & 629 & 651.547366935878 & -22.5473669358779 \tabularnewline
90 & 916 & 649.937653591595 & 266.062346408405 \tabularnewline
91 & 531 & 668.932514971318 & -137.932514971318 \tabularnewline
92 & 357 & 659.085165141459 & -302.085165141459 \tabularnewline
93 & 917 & 637.518543955893 & 279.481456044107 \tabularnewline
94 & 828 & 657.471429388288 & 170.528570611712 \tabularnewline
95 & 708 & 669.645893771458 & 38.3541062285418 \tabularnewline
96 & 858 & 672.384090066382 & 185.615909933618 \tabularnewline
97 & 775 & 685.635677623414 & 89.3643223765858 \tabularnewline
98 & 785 & 692.015621793457 & 92.9843782065433 \tabularnewline
99 & 1006 & 698.654010871639 & 307.345989128361 \tabularnewline
100 & 789 & 720.596215538758 & 68.4037844612421 \tabularnewline
101 & 734 & 725.479734087058 & 8.5202659129418 \tabularnewline
102 & 906 & 726.088017341414 & 179.911982658586 \tabularnewline
103 & 532 & 738.932387156544 & -206.932387156544 \tabularnewline
104 & 387 & 724.158962573645 & -337.158962573645 \tabularnewline
105 & 991 & 700.088334604413 & 290.911665395587 \tabularnewline
106 & 841 & 720.857251486216 & 120.142748513784 \tabularnewline
107 & 892 & 729.434545058961 & 162.565454941039 \tabularnewline
108 & 782 & 741.040502547574 & 40.9594974524256 \tabularnewline
109 & 811 & 743.964704287484 & 67.0352957125158 \tabularnewline
110 & 792 & 748.75052297546 & 43.2494770245402 \tabularnewline
111 & 978 & 751.838212127707 & 226.161787872293 \tabularnewline
112 & 773 & 767.984472085252 & 5.01552791474762 \tabularnewline
113 & 796 & 768.342543262075 & 27.6574567379246 \tabularnewline
114 & 946 & 770.317078794609 & 175.682921205391 \tabularnewline
115 & 594 & 782.85952525548 & -188.85952525548 \tabularnewline
116 & 438 & 769.376367826801 & -331.376367826801 \tabularnewline
117 & 1023 & 745.718573868522 & 277.281426131478 \tabularnewline
118 & 868 & 765.514393621441 & 102.485606378559 \tabularnewline
119 & 791 & 772.831099321651 & 18.1689006783489 \tabularnewline
120 & 760 & 774.128222926197 & -14.1282229261969 \tabularnewline
121 & 779 & 773.119573488771 & 5.88042651122851 \tabularnewline
122 & 852 & 773.539391955917 & 78.4606080440825 \tabularnewline
123 & 1001 & 779.140892482709 & 221.859107517291 \tabularnewline
124 & 734 & 794.979973247078 & -60.9799732470776 \tabularnewline
125 & 996 & 790.626459289152 & 205.373540710848 \tabularnewline
126 & 869 & 805.288593896044 & 63.7114061039563 \tabularnewline
127 & 599 & 809.837111728756 & -210.837111728756 \tabularnewline
128 & 426 & 794.78491901885 & -368.78491901885 \tabularnewline
129 & 1138 & 768.456434322475 & 369.543565677525 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151627&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]614[/C][C]617[/C][C]-3[/C][/ROW]
[ROW][C]3[/C][C]647[/C][C]616.785822440084[/C][C]30.2141775599156[/C][/ROW]
[ROW][C]4[/C][C]580[/C][C]618.942888714964[/C][C]-38.9428887149642[/C][/ROW]
[ROW][C]5[/C][C]614[/C][C]616.162657754619[/C][C]-2.16265775461898[/C][/ROW]
[ROW][C]6[/C][C]636[/C][C]616.00826016768[/C][C]19.9917398323199[/C][/ROW]
[ROW][C]7[/C][C]388[/C][C]617.435520852931[/C][C]-229.435520852931[/C][/ROW]
[ROW][C]8[/C][C]356[/C][C]601.055540848183[/C][C]-245.055540848183[/C][/ROW]
[ROW][C]9[/C][C]639[/C][C]583.560408253963[/C][C]55.439591746037[/C][/ROW]
[ROW][C]10[/C][C]753[/C][C]587.518380414924[/C][C]165.481619585076[/C][/ROW]
[ROW][C]11[/C][C]611[/C][C]599.332530246128[/C][C]11.667469753872[/C][/ROW]
[ROW][C]12[/C][C]639[/C][C]600.165500313552[/C][C]38.8344996864475[/C][/ROW]
[ROW][C]13[/C][C]630[/C][C]602.937993108015[/C][C]27.0620068919854[/C][/ROW]
[ROW][C]14[/C][C]586[/C][C]604.870017975529[/C][C]-18.8700179755293[/C][/ROW]
[ROW][C]15[/C][C]695[/C][C]603.522839840342[/C][C]91.4771601596581[/C][/ROW]
[ROW][C]16[/C][C]552[/C][C]610.05362482401[/C][C]-58.0536248240098[/C][/ROW]
[ROW][C]17[/C][C]619[/C][C]605.909030254323[/C][C]13.0909697456774[/C][/ROW]
[ROW][C]18[/C][C]681[/C][C]606.843627573342[/C][C]74.1563724266581[/C][/ROW]
[ROW][C]19[/C][C]421[/C][C]612.137837872853[/C][C]-191.137837872853[/C][/ROW]
[ROW][C]20[/C][C]307[/C][C]598.492025965136[/C][C]-291.492025965136[/C][/ROW]
[ROW][C]21[/C][C]754[/C][C]577.681675679781[/C][C]176.318324320219[/C][/ROW]
[ROW][C]22[/C][C]690[/C][C]590.269485170218[/C][C]99.730514829782[/C][/ROW]
[ROW][C]23[/C][C]644[/C][C]597.389497942008[/C][C]46.6105020579924[/C][/ROW]
[ROW][C]24[/C][C]643[/C][C]600.717139141081[/C][C]42.2828608589185[/C][/ROW]
[ROW][C]25[/C][C]608[/C][C]603.735819129419[/C][C]4.26418087058062[/C][/ROW]
[ROW][C]26[/C][C]651[/C][C]604.040249747386[/C][C]46.9597502526141[/C][/ROW]
[ROW][C]27[/C][C]691[/C][C]607.392824655169[/C][C]83.6071753448306[/C][/ROW]
[ROW][C]28[/C][C]627[/C][C]613.361751590766[/C][C]13.6382484092336[/C][/ROW]
[ROW][C]29[/C][C]634[/C][C]614.335420512704[/C][C]19.6645794872961[/C][/ROW]
[ROW][C]30[/C][C]731[/C][C]615.739324396489[/C][C]115.260675603511[/C][/ROW]
[ROW][C]31[/C][C]475[/C][C]623.968074481483[/C][C]-148.968074481483[/C][/ROW]
[ROW][C]32[/C][C]337[/C][C]613.332868248894[/C][C]-276.332868248894[/C][/ROW]
[ROW][C]33[/C][C]803[/C][C]593.604768433552[/C][C]209.395231566448[/C][/ROW]
[ROW][C]34[/C][C]722[/C][C]608.554021685173[/C][C]113.445978314827[/C][/ROW]
[ROW][C]35[/C][C]590[/C][C]616.653215957742[/C][C]-26.6532159577418[/C][/ROW]
[ROW][C]36[/C][C]724[/C][C]614.750375705164[/C][C]109.249624294836[/C][/ROW]
[ROW][C]37[/C][C]627[/C][C]622.549981689552[/C][C]4.45001831044794[/C][/ROW]
[ROW][C]38[/C][C]696[/C][C]622.867679710656[/C][C]73.1323202893441[/C][/ROW]
[ROW][C]39[/C][C]825[/C][C]628.088780347502[/C][C]196.911219652498[/C][/ROW]
[ROW][C]40[/C][C]677[/C][C]642.146768529227[/C][C]34.853231470773[/C][/ROW]
[ROW][C]41[/C][C]656[/C][C]644.635028553088[/C][C]11.3649714469118[/C][/ROW]
[ROW][C]42[/C][C]785[/C][C]645.446402504092[/C][C]139.553597495908[/C][/ROW]
[ROW][C]43[/C][C]412[/C][C]655.409485500464[/C][C]-243.409485500464[/C][/ROW]
[ROW][C]44[/C][C]352[/C][C]638.031868945531[/C][C]-286.031868945531[/C][/ROW]
[ROW][C]45[/C][C]839[/C][C]617.611333029247[/C][C]221.388666970753[/C][/ROW]
[ROW][C]46[/C][C]729[/C][C]633.416827857501[/C][C]95.5831721424989[/C][/ROW]
[ROW][C]47[/C][C]696[/C][C]640.240751383659[/C][C]55.7592486163413[/C][/ROW]
[ROW][C]48[/C][C]641[/C][C]644.221544654117[/C][C]-3.221544654117[/C][/ROW]
[ROW][C]49[/C][C]695[/C][C]643.991550463058[/C][C]51.0084495369423[/C][/ROW]
[ROW][C]50[/C][C]638[/C][C]647.633172215358[/C][C]-9.63317221535772[/C][/ROW]
[ROW][C]51[/C][C]762[/C][C]646.94543577558[/C][C]115.05456422442[/C][/ROW]
[ROW][C]52[/C][C]635[/C][C]655.159471049826[/C][C]-20.1594710498264[/C][/ROW]
[ROW][C]53[/C][C]721[/C][C]653.720235610279[/C][C]67.2797643897206[/C][/ROW]
[ROW][C]54[/C][C]854[/C][C]658.523507533175[/C][C]195.476492466825[/C][/ROW]
[ROW][C]55[/C][C]418[/C][C]672.479066925643[/C][C]-254.479066925643[/C][/ROW]
[ROW][C]56[/C][C]367[/C][C]654.311165057732[/C][C]-287.311165057732[/C][/ROW]
[ROW][C]57[/C][C]824[/C][C]633.799296968208[/C][C]190.200703031792[/C][/ROW]
[ROW][C]58[/C][C]687[/C][C]647.378204458068[/C][C]39.6217955419316[/C][/ROW]
[ROW][C]59[/C][C]601[/C][C]650.206904287617[/C][C]-49.2069042876169[/C][/ROW]
[ROW][C]60[/C][C]676[/C][C]646.69389939051[/C][C]29.3061006094904[/C][/ROW]
[ROW][C]61[/C][C]740[/C][C]648.78613576357[/C][C]91.2138642364299[/C][/ROW]
[ROW][C]62[/C][C]691[/C][C]655.29812338778[/C][C]35.7018766122196[/C][/ROW]
[ROW][C]63[/C][C]683[/C][C]657.846970326851[/C][C]25.1530296731487[/C][/ROW]
[ROW][C]64[/C][C]594[/C][C]659.642708500145[/C][C]-65.6427085001445[/C][/ROW]
[ROW][C]65[/C][C]729[/C][C]654.956310122541[/C][C]74.0436898774593[/C][/ROW]
[ROW][C]66[/C][C]731[/C][C]660.242475730908[/C][C]70.7575242690922[/C][/ROW]
[ROW][C]67[/C][C]386[/C][C]665.294033695449[/C][C]-279.294033695449[/C][/ROW]
[ROW][C]68[/C][C]331[/C][C]645.354528816824[/C][C]-314.354528816824[/C][/ROW]
[ROW][C]69[/C][C]706[/C][C]622.911966840022[/C][C]83.0880331599776[/C][/ROW]
[ROW][C]70[/C][C]715[/C][C]628.843830906819[/C][C]86.1561690931809[/C][/ROW]
[ROW][C]71[/C][C]657[/C][C]634.994736929503[/C][C]22.0052630704967[/C][/ROW]
[ROW][C]72[/C][C]653[/C][C]636.56574811275[/C][C]16.4342518872501[/C][/ROW]
[ROW][C]73[/C][C]642[/C][C]637.739030768833[/C][C]4.26096923116688[/C][/ROW]
[ROW][C]74[/C][C]643[/C][C]638.043232099769[/C][C]4.95676790023128[/C][/ROW]
[ROW][C]75[/C][C]718[/C][C]638.397108251082[/C][C]79.6028917489181[/C][/ROW]
[ROW][C]76[/C][C]654[/C][C]644.080159290085[/C][C]9.91984070991521[/C][/ROW]
[ROW][C]77[/C][C]632[/C][C]644.788361716085[/C][C]-12.7883617160851[/C][/ROW]
[ROW][C]78[/C][C]731[/C][C]643.875368346862[/C][C]87.124631653138[/C][/ROW]
[ROW][C]79[/C][C]392[/C][C]650.0954153522[/C][C]-258.0954153522[/C][/ROW]
[ROW][C]80[/C][C]344[/C][C]631.669333257021[/C][C]-287.669333257021[/C][/ROW]
[ROW][C]81[/C][C]792[/C][C]611.131894637176[/C][C]180.868105362824[/C][/ROW]
[ROW][C]82[/C][C]852[/C][C]624.044524461565[/C][C]227.955475538435[/C][/ROW]
[ROW][C]83[/C][C]649[/C][C]640.318840301639[/C][C]8.68115969836117[/C][/ROW]
[ROW][C]84[/C][C]629[/C][C]640.938610168783[/C][C]-11.938610168783[/C][/ROW]
[ROW][C]85[/C][C]685[/C][C]640.086282703872[/C][C]44.9137172961281[/C][/ROW]
[ROW][C]86[/C][C]617[/C][C]643.292786162946[/C][C]-26.2927861629464[/C][/ROW]
[ROW][C]87[/C][C]715[/C][C]641.415677901692[/C][C]73.5843220983077[/C][/ROW]
[ROW][C]88[/C][C]715[/C][C]646.669048086712[/C][C]68.3309519132881[/C][/ROW]
[ROW][C]89[/C][C]629[/C][C]651.547366935878[/C][C]-22.5473669358779[/C][/ROW]
[ROW][C]90[/C][C]916[/C][C]649.937653591595[/C][C]266.062346408405[/C][/ROW]
[ROW][C]91[/C][C]531[/C][C]668.932514971318[/C][C]-137.932514971318[/C][/ROW]
[ROW][C]92[/C][C]357[/C][C]659.085165141459[/C][C]-302.085165141459[/C][/ROW]
[ROW][C]93[/C][C]917[/C][C]637.518543955893[/C][C]279.481456044107[/C][/ROW]
[ROW][C]94[/C][C]828[/C][C]657.471429388288[/C][C]170.528570611712[/C][/ROW]
[ROW][C]95[/C][C]708[/C][C]669.645893771458[/C][C]38.3541062285418[/C][/ROW]
[ROW][C]96[/C][C]858[/C][C]672.384090066382[/C][C]185.615909933618[/C][/ROW]
[ROW][C]97[/C][C]775[/C][C]685.635677623414[/C][C]89.3643223765858[/C][/ROW]
[ROW][C]98[/C][C]785[/C][C]692.015621793457[/C][C]92.9843782065433[/C][/ROW]
[ROW][C]99[/C][C]1006[/C][C]698.654010871639[/C][C]307.345989128361[/C][/ROW]
[ROW][C]100[/C][C]789[/C][C]720.596215538758[/C][C]68.4037844612421[/C][/ROW]
[ROW][C]101[/C][C]734[/C][C]725.479734087058[/C][C]8.5202659129418[/C][/ROW]
[ROW][C]102[/C][C]906[/C][C]726.088017341414[/C][C]179.911982658586[/C][/ROW]
[ROW][C]103[/C][C]532[/C][C]738.932387156544[/C][C]-206.932387156544[/C][/ROW]
[ROW][C]104[/C][C]387[/C][C]724.158962573645[/C][C]-337.158962573645[/C][/ROW]
[ROW][C]105[/C][C]991[/C][C]700.088334604413[/C][C]290.911665395587[/C][/ROW]
[ROW][C]106[/C][C]841[/C][C]720.857251486216[/C][C]120.142748513784[/C][/ROW]
[ROW][C]107[/C][C]892[/C][C]729.434545058961[/C][C]162.565454941039[/C][/ROW]
[ROW][C]108[/C][C]782[/C][C]741.040502547574[/C][C]40.9594974524256[/C][/ROW]
[ROW][C]109[/C][C]811[/C][C]743.964704287484[/C][C]67.0352957125158[/C][/ROW]
[ROW][C]110[/C][C]792[/C][C]748.75052297546[/C][C]43.2494770245402[/C][/ROW]
[ROW][C]111[/C][C]978[/C][C]751.838212127707[/C][C]226.161787872293[/C][/ROW]
[ROW][C]112[/C][C]773[/C][C]767.984472085252[/C][C]5.01552791474762[/C][/ROW]
[ROW][C]113[/C][C]796[/C][C]768.342543262075[/C][C]27.6574567379246[/C][/ROW]
[ROW][C]114[/C][C]946[/C][C]770.317078794609[/C][C]175.682921205391[/C][/ROW]
[ROW][C]115[/C][C]594[/C][C]782.85952525548[/C][C]-188.85952525548[/C][/ROW]
[ROW][C]116[/C][C]438[/C][C]769.376367826801[/C][C]-331.376367826801[/C][/ROW]
[ROW][C]117[/C][C]1023[/C][C]745.718573868522[/C][C]277.281426131478[/C][/ROW]
[ROW][C]118[/C][C]868[/C][C]765.514393621441[/C][C]102.485606378559[/C][/ROW]
[ROW][C]119[/C][C]791[/C][C]772.831099321651[/C][C]18.1689006783489[/C][/ROW]
[ROW][C]120[/C][C]760[/C][C]774.128222926197[/C][C]-14.1282229261969[/C][/ROW]
[ROW][C]121[/C][C]779[/C][C]773.119573488771[/C][C]5.88042651122851[/C][/ROW]
[ROW][C]122[/C][C]852[/C][C]773.539391955917[/C][C]78.4606080440825[/C][/ROW]
[ROW][C]123[/C][C]1001[/C][C]779.140892482709[/C][C]221.859107517291[/C][/ROW]
[ROW][C]124[/C][C]734[/C][C]794.979973247078[/C][C]-60.9799732470776[/C][/ROW]
[ROW][C]125[/C][C]996[/C][C]790.626459289152[/C][C]205.373540710848[/C][/ROW]
[ROW][C]126[/C][C]869[/C][C]805.288593896044[/C][C]63.7114061039563[/C][/ROW]
[ROW][C]127[/C][C]599[/C][C]809.837111728756[/C][C]-210.837111728756[/C][/ROW]
[ROW][C]128[/C][C]426[/C][C]794.78491901885[/C][C]-368.78491901885[/C][/ROW]
[ROW][C]129[/C][C]1138[/C][C]768.456434322475[/C][C]369.543565677525[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151627&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151627&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
2614617-3
3647616.78582244008430.2141775599156
4580618.942888714964-38.9428887149642
5614616.162657754619-2.16265775461898
6636616.0082601676819.9917398323199
7388617.435520852931-229.435520852931
8356601.055540848183-245.055540848183
9639583.56040825396355.439591746037
10753587.518380414924165.481619585076
11611599.33253024612811.667469753872
12639600.16550031355238.8344996864475
13630602.93799310801527.0620068919854
14586604.870017975529-18.8700179755293
15695603.52283984034291.4771601596581
16552610.05362482401-58.0536248240098
17619605.90903025432313.0909697456774
18681606.84362757334274.1563724266581
19421612.137837872853-191.137837872853
20307598.492025965136-291.492025965136
21754577.681675679781176.318324320219
22690590.26948517021899.730514829782
23644597.38949794200846.6105020579924
24643600.71713914108142.2828608589185
25608603.7358191294194.26418087058062
26651604.04024974738646.9597502526141
27691607.39282465516983.6071753448306
28627613.36175159076613.6382484092336
29634614.33542051270419.6645794872961
30731615.739324396489115.260675603511
31475623.968074481483-148.968074481483
32337613.332868248894-276.332868248894
33803593.604768433552209.395231566448
34722608.554021685173113.445978314827
35590616.653215957742-26.6532159577418
36724614.750375705164109.249624294836
37627622.5499816895524.45001831044794
38696622.86767971065673.1323202893441
39825628.088780347502196.911219652498
40677642.14676852922734.853231470773
41656644.63502855308811.3649714469118
42785645.446402504092139.553597495908
43412655.409485500464-243.409485500464
44352638.031868945531-286.031868945531
45839617.611333029247221.388666970753
46729633.41682785750195.5831721424989
47696640.24075138365955.7592486163413
48641644.221544654117-3.221544654117
49695643.99155046305851.0084495369423
50638647.633172215358-9.63317221535772
51762646.94543577558115.05456422442
52635655.159471049826-20.1594710498264
53721653.72023561027967.2797643897206
54854658.523507533175195.476492466825
55418672.479066925643-254.479066925643
56367654.311165057732-287.311165057732
57824633.799296968208190.200703031792
58687647.37820445806839.6217955419316
59601650.206904287617-49.2069042876169
60676646.6938993905129.3061006094904
61740648.7861357635791.2138642364299
62691655.2981233877835.7018766122196
63683657.84697032685125.1530296731487
64594659.642708500145-65.6427085001445
65729654.95631012254174.0436898774593
66731660.24247573090870.7575242690922
67386665.294033695449-279.294033695449
68331645.354528816824-314.354528816824
69706622.91196684002283.0880331599776
70715628.84383090681986.1561690931809
71657634.99473692950322.0052630704967
72653636.5657481127516.4342518872501
73642637.7390307688334.26096923116688
74643638.0432320997694.95676790023128
75718638.39710825108279.6028917489181
76654644.0801592900859.91984070991521
77632644.788361716085-12.7883617160851
78731643.87536834686287.124631653138
79392650.0954153522-258.0954153522
80344631.669333257021-287.669333257021
81792611.131894637176180.868105362824
82852624.044524461565227.955475538435
83649640.3188403016398.68115969836117
84629640.938610168783-11.938610168783
85685640.08628270387244.9137172961281
86617643.292786162946-26.2927861629464
87715641.41567790169273.5843220983077
88715646.66904808671268.3309519132881
89629651.547366935878-22.5473669358779
90916649.937653591595266.062346408405
91531668.932514971318-137.932514971318
92357659.085165141459-302.085165141459
93917637.518543955893279.481456044107
94828657.471429388288170.528570611712
95708669.64589377145838.3541062285418
96858672.384090066382185.615909933618
97775685.63567762341489.3643223765858
98785692.01562179345792.9843782065433
991006698.654010871639307.345989128361
100789720.59621553875868.4037844612421
101734725.4797340870588.5202659129418
102906726.088017341414179.911982658586
103532738.932387156544-206.932387156544
104387724.158962573645-337.158962573645
105991700.088334604413290.911665395587
106841720.857251486216120.142748513784
107892729.434545058961162.565454941039
108782741.04050254757440.9594974524256
109811743.96470428748467.0352957125158
110792748.7505229754643.2494770245402
111978751.838212127707226.161787872293
112773767.9844720852525.01552791474762
113796768.34254326207527.6574567379246
114946770.317078794609175.682921205391
115594782.85952525548-188.85952525548
116438769.376367826801-331.376367826801
1171023745.718573868522277.281426131478
118868765.514393621441102.485606378559
119791772.83109932165118.1689006783489
120760774.128222926197-14.1282229261969
121779773.1195734887715.88042651122851
122852773.53939195591778.4606080440825
1231001779.140892482709221.859107517291
124734794.979973247078-60.9799732470776
125996790.626459289152205.373540710848
126869805.28859389604463.7114061039563
127599809.837111728756-210.837111728756
128426794.78491901885-368.78491901885
1291138768.456434322475369.543565677525







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
130794.839080715582495.1343255156791094.54383591548
131794.839080715582494.3715149003321095.30664653083
132794.839080715582493.6106359689921096.06752546217
133794.839080715582492.8516741206091096.82648731055
134794.839080715582492.0946149371541097.58354649401
135794.839080715582491.3394441804231098.33871725074
136794.839080715582490.5861477889111099.09201364225
137794.839080715582489.8347118747581099.84344955641
138794.839080715582489.0851227207631100.5930387104
139794.839080715582488.3373667774611101.3407946537
140794.839080715582487.5914306602671102.0867307709
141794.839080715582486.8473011466761102.83086028449

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
130 & 794.839080715582 & 495.134325515679 & 1094.54383591548 \tabularnewline
131 & 794.839080715582 & 494.371514900332 & 1095.30664653083 \tabularnewline
132 & 794.839080715582 & 493.610635968992 & 1096.06752546217 \tabularnewline
133 & 794.839080715582 & 492.851674120609 & 1096.82648731055 \tabularnewline
134 & 794.839080715582 & 492.094614937154 & 1097.58354649401 \tabularnewline
135 & 794.839080715582 & 491.339444180423 & 1098.33871725074 \tabularnewline
136 & 794.839080715582 & 490.586147788911 & 1099.09201364225 \tabularnewline
137 & 794.839080715582 & 489.834711874758 & 1099.84344955641 \tabularnewline
138 & 794.839080715582 & 489.085122720763 & 1100.5930387104 \tabularnewline
139 & 794.839080715582 & 488.337366777461 & 1101.3407946537 \tabularnewline
140 & 794.839080715582 & 487.591430660267 & 1102.0867307709 \tabularnewline
141 & 794.839080715582 & 486.847301146676 & 1102.83086028449 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151627&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]130[/C][C]794.839080715582[/C][C]495.134325515679[/C][C]1094.54383591548[/C][/ROW]
[ROW][C]131[/C][C]794.839080715582[/C][C]494.371514900332[/C][C]1095.30664653083[/C][/ROW]
[ROW][C]132[/C][C]794.839080715582[/C][C]493.610635968992[/C][C]1096.06752546217[/C][/ROW]
[ROW][C]133[/C][C]794.839080715582[/C][C]492.851674120609[/C][C]1096.82648731055[/C][/ROW]
[ROW][C]134[/C][C]794.839080715582[/C][C]492.094614937154[/C][C]1097.58354649401[/C][/ROW]
[ROW][C]135[/C][C]794.839080715582[/C][C]491.339444180423[/C][C]1098.33871725074[/C][/ROW]
[ROW][C]136[/C][C]794.839080715582[/C][C]490.586147788911[/C][C]1099.09201364225[/C][/ROW]
[ROW][C]137[/C][C]794.839080715582[/C][C]489.834711874758[/C][C]1099.84344955641[/C][/ROW]
[ROW][C]138[/C][C]794.839080715582[/C][C]489.085122720763[/C][C]1100.5930387104[/C][/ROW]
[ROW][C]139[/C][C]794.839080715582[/C][C]488.337366777461[/C][C]1101.3407946537[/C][/ROW]
[ROW][C]140[/C][C]794.839080715582[/C][C]487.591430660267[/C][C]1102.0867307709[/C][/ROW]
[ROW][C]141[/C][C]794.839080715582[/C][C]486.847301146676[/C][C]1102.83086028449[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151627&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151627&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
130794.839080715582495.1343255156791094.54383591548
131794.839080715582494.3715149003321095.30664653083
132794.839080715582493.6106359689921096.06752546217
133794.839080715582492.8516741206091096.82648731055
134794.839080715582492.0946149371541097.58354649401
135794.839080715582491.3394441804231098.33871725074
136794.839080715582490.5861477889111099.09201364225
137794.839080715582489.8347118747581099.84344955641
138794.839080715582489.0851227207631100.5930387104
139794.839080715582488.3373667774611101.3407946537
140794.839080715582487.5914306602671102.0867307709
141794.839080715582486.8473011466761102.83086028449



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')