Free Statistics

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 computationWed, 30 Nov 2011 08:14:15 -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/Nov/30/t1322658984t8mckq5m6mezqrg.htm/, Retrieved Tue, 23 Apr 2024 08:23:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148928, Retrieved Tue, 23 Apr 2024 08:23:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [het totaal aantal...] [2011-11-30 13:14:15] [4352eab26b4a512b718de67a19830b91] [Current]
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Dataseries X:
547612
563280
581302
572273
518654
520579
530577
540324
547970
555654
551174
548604
563668
586111
604378
600991
544686
537034
551531
563250
574761
580112
575093
557560
564478
580523
596594
586570
536214
523597
536535
536322
532638
528222
516141
501866
506174
517945
533590
528379
477580
469357
490243
492622
507561
516922
514258
509846
527070
541657
564591
555362
498662
511038
525919
531673
548854
560576
557274
565742
587625
619916
625809
619567
572942
572775
574205
579799
590072
593408
597141
595404
612117
628232
628884
620735
569028
567456
573100
584428
589379
590865
595454
594167
611324
612613
610763
593530
542722
536662
543599
555332
560854
562325
554788
547344
565464
577992
579714
569323
506971
500857
509127
509933
517009
519164
512238
509239
518585
522975
525192
516847
455626
454724
461251
470439
474605
476049
471067
470984
502831
512927
509673
484015
431328
436087
442867
447988
460070
467037
460170
464196
485025




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148928&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148928&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148928&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.113814776340215
gamma0.216301434418765

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.113814776340215 \tabularnewline
gamma & 0.216301434418765 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148928&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.113814776340215[/C][/ROW]
[ROW][C]gamma[/C][C]0.216301434418765[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148928&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148928&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
alpha1
beta0.113814776340215
gamma0.216301434418765







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13563668552290.18954721311377.810452787
14586111587547.652051669-1436.65205166943
15604378605425.394514235-1047.3945142345
16600991601842.743817279-851.743817278882
17544686545482.377585225-796.377585225389
18537034538337.182251668-1303.18225166795
19551531553118.048042585-1587.04804258491
20563250562373.086562812876.913437188137
21574761571731.7891443693029.21085563092
22580112583415.25420012-3303.25420011976
23575093575533.895256513-440.895256512798
24557560572984.999320969-15424.999320969
25564478571923.397087964-7445.39708796388
26580523584836.562514319-4313.56251431943
27596594595700.186084085893.813915915205
28586570590403.488805559-3833.48880555865
29536214528785.509672077428.49032793008
30523597527312.050876435-3715.05087643536
31536535536299.629809384235.370190615649
32536322544268.657974212-7946.65797421173
33532638540593.855046736-7955.85504673561
34528222535641.963340722-7419.96334072226
35516141518647.80761801-2506.80761801038
36501866508679.190577941-6813.19057794084
37506174509905.915373264-3731.91537326376
38517945519712.523920857-1767.52392085682
39533590526882.1375303916707.86246960936
40528379524160.036172954218.96382705006
41477580473603.2159978973976.78400210274
42469357466667.4559644972689.54403550323
43490243478387.34195541511855.6580445851
44492622496271.384351445-3649.38435144548
45507561495919.03249335811641.9675066422
46516922512050.234784554871.76521545008
47514258510583.7335318723674.26646812796
48509846510583.579611763-737.579611762601
49527070522656.2008530524413.7991469485
50541657547071.331530476-5414.33153047645
51564591556674.537347687916.46265231993
52555362560387.680840902-5025.68084090203
53498662502003.356602906-3341.35660290555
54511038490549.70995427520488.2900457251
55525919526424.925214376-505.925214376301
56531673536451.713985039-4778.71398503915
57548854539253.5599845929600.44001540844
58560576557431.6643215723144.33567842771
59557274557141.95267643132.047323570005
60565742556270.0566052379471.94339476258
61587625584198.5119829463426.48801705427
62619916614142.9715500185773.02844998229
63625809642812.81821346-17003.8182134597
64619567623906.191071129-4339.19107112929
65572942562652.07535876810289.924641232
66572775567757.5817872375017.41821276303
67574205592169.631276032-17964.6312760318
68579799585947.07091375-6148.0709137501
69590072588206.0832296971865.91677030281
70593408598493.503297603-5085.50329760276
71597141588085.9378096989055.0621903023
72595404595354.80800312749.1919968733564
73612117613009.182838347-892.182838347391
74628232637379.247247959-9147.24724795902
75628884647405.009490788-18521.0094907878
76620735622866.832018274-2131.83201827446
77569028560244.0881076788783.91189232212
78567456560333.3090075577122.69099244301
79573100583296.938908878-10196.9389088777
80584428582250.9567030622177.04329693783
81589379591240.41924412-1861.41924412025
82590865595704.543874355-4839.54387435468
83595454583537.78553244511916.2144675546
84594167591984.0173278992182.98267210135
85611324610251.8606776651072.13932233537
86612613635244.896429347-22631.896429347
87610763628433.206076637-17670.2060766369
88593530602113.471602624-8583.4716026237
89542722532481.807331110240.1926689005
90536662531481.2019766875180.79802331293
91543599548444.563365665-4845.56336566503
92555332549584.5170555135747.48294448678
93560854559504.7884185211349.21158147859
94562325564907.654926503-2582.65492650261
95554788553637.2329358321150.76706416754
96547344548726.92290964-1382.92290963966
97565464558880.6427029296583.35729707149
98577992584844.061303435-6852.06130343536
99579714591760.861718452-12046.861718452
100569323570895.830245027-1572.83024502685
101506971510926.508624314-3955.50862431404
102500857495029.0366482595827.96335174085
103509127510489.212098665-1362.2120986646
104509933513720.758786928-3787.75878692779
105517009511655.0058888355353.994111165
106519164519093.63797356970.3620264307247
107512238509789.2178530212448.78214697872
108509239505455.1794189253783.82058107475
109518585519360.484949895-775.484949895123
110522975534893.864589454-11918.8645894541
111525192533244.490160774-8052.49016077374
112516847515359.8243342821487.1756657181
113455626462473.718855819-6847.71885581937
114454724443158.94082563311565.0591743672
115461251462456.730526806-1205.73052680638
116470439464382.296829026056.70317097974
117474605472139.0040609572465.99593904341
118476049476332.534155845-283.534155845235
119471067467226.5861502523840.41384974844
120470984464792.4758052416191.52419475885
121502831480636.23660939522194.7633906054
122512927521764.502454748-8837.5024547478
123509673526567.86836691-16894.8683669096
124484015502601.392912938-18586.3929129383
125431328433121.889068825-1793.88906882546
126436087420119.43615874815967.5638412522
127442867444743.597497274-1876.59749727434
128447988447054.592172192933.407827807532
129460070450212.9964247059857.00357529486
130467037463272.2993392533764.70066074748
131460170460380.597159224-210.597159224446
132464196455563.8485621488632.15143785201
133485025475588.0006707969436.99932920415

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 563668 & 552290.189547213 & 11377.810452787 \tabularnewline
14 & 586111 & 587547.652051669 & -1436.65205166943 \tabularnewline
15 & 604378 & 605425.394514235 & -1047.3945142345 \tabularnewline
16 & 600991 & 601842.743817279 & -851.743817278882 \tabularnewline
17 & 544686 & 545482.377585225 & -796.377585225389 \tabularnewline
18 & 537034 & 538337.182251668 & -1303.18225166795 \tabularnewline
19 & 551531 & 553118.048042585 & -1587.04804258491 \tabularnewline
20 & 563250 & 562373.086562812 & 876.913437188137 \tabularnewline
21 & 574761 & 571731.789144369 & 3029.21085563092 \tabularnewline
22 & 580112 & 583415.25420012 & -3303.25420011976 \tabularnewline
23 & 575093 & 575533.895256513 & -440.895256512798 \tabularnewline
24 & 557560 & 572984.999320969 & -15424.999320969 \tabularnewline
25 & 564478 & 571923.397087964 & -7445.39708796388 \tabularnewline
26 & 580523 & 584836.562514319 & -4313.56251431943 \tabularnewline
27 & 596594 & 595700.186084085 & 893.813915915205 \tabularnewline
28 & 586570 & 590403.488805559 & -3833.48880555865 \tabularnewline
29 & 536214 & 528785.50967207 & 7428.49032793008 \tabularnewline
30 & 523597 & 527312.050876435 & -3715.05087643536 \tabularnewline
31 & 536535 & 536299.629809384 & 235.370190615649 \tabularnewline
32 & 536322 & 544268.657974212 & -7946.65797421173 \tabularnewline
33 & 532638 & 540593.855046736 & -7955.85504673561 \tabularnewline
34 & 528222 & 535641.963340722 & -7419.96334072226 \tabularnewline
35 & 516141 & 518647.80761801 & -2506.80761801038 \tabularnewline
36 & 501866 & 508679.190577941 & -6813.19057794084 \tabularnewline
37 & 506174 & 509905.915373264 & -3731.91537326376 \tabularnewline
38 & 517945 & 519712.523920857 & -1767.52392085682 \tabularnewline
39 & 533590 & 526882.137530391 & 6707.86246960936 \tabularnewline
40 & 528379 & 524160.03617295 & 4218.96382705006 \tabularnewline
41 & 477580 & 473603.215997897 & 3976.78400210274 \tabularnewline
42 & 469357 & 466667.455964497 & 2689.54403550323 \tabularnewline
43 & 490243 & 478387.341955415 & 11855.6580445851 \tabularnewline
44 & 492622 & 496271.384351445 & -3649.38435144548 \tabularnewline
45 & 507561 & 495919.032493358 & 11641.9675066422 \tabularnewline
46 & 516922 & 512050.23478455 & 4871.76521545008 \tabularnewline
47 & 514258 & 510583.733531872 & 3674.26646812796 \tabularnewline
48 & 509846 & 510583.579611763 & -737.579611762601 \tabularnewline
49 & 527070 & 522656.200853052 & 4413.7991469485 \tabularnewline
50 & 541657 & 547071.331530476 & -5414.33153047645 \tabularnewline
51 & 564591 & 556674.53734768 & 7916.46265231993 \tabularnewline
52 & 555362 & 560387.680840902 & -5025.68084090203 \tabularnewline
53 & 498662 & 502003.356602906 & -3341.35660290555 \tabularnewline
54 & 511038 & 490549.709954275 & 20488.2900457251 \tabularnewline
55 & 525919 & 526424.925214376 & -505.925214376301 \tabularnewline
56 & 531673 & 536451.713985039 & -4778.71398503915 \tabularnewline
57 & 548854 & 539253.559984592 & 9600.44001540844 \tabularnewline
58 & 560576 & 557431.664321572 & 3144.33567842771 \tabularnewline
59 & 557274 & 557141.95267643 & 132.047323570005 \tabularnewline
60 & 565742 & 556270.056605237 & 9471.94339476258 \tabularnewline
61 & 587625 & 584198.511982946 & 3426.48801705427 \tabularnewline
62 & 619916 & 614142.971550018 & 5773.02844998229 \tabularnewline
63 & 625809 & 642812.81821346 & -17003.8182134597 \tabularnewline
64 & 619567 & 623906.191071129 & -4339.19107112929 \tabularnewline
65 & 572942 & 562652.075358768 & 10289.924641232 \tabularnewline
66 & 572775 & 567757.581787237 & 5017.41821276303 \tabularnewline
67 & 574205 & 592169.631276032 & -17964.6312760318 \tabularnewline
68 & 579799 & 585947.07091375 & -6148.0709137501 \tabularnewline
69 & 590072 & 588206.083229697 & 1865.91677030281 \tabularnewline
70 & 593408 & 598493.503297603 & -5085.50329760276 \tabularnewline
71 & 597141 & 588085.937809698 & 9055.0621903023 \tabularnewline
72 & 595404 & 595354.808003127 & 49.1919968733564 \tabularnewline
73 & 612117 & 613009.182838347 & -892.182838347391 \tabularnewline
74 & 628232 & 637379.247247959 & -9147.24724795902 \tabularnewline
75 & 628884 & 647405.009490788 & -18521.0094907878 \tabularnewline
76 & 620735 & 622866.832018274 & -2131.83201827446 \tabularnewline
77 & 569028 & 560244.088107678 & 8783.91189232212 \tabularnewline
78 & 567456 & 560333.309007557 & 7122.69099244301 \tabularnewline
79 & 573100 & 583296.938908878 & -10196.9389088777 \tabularnewline
80 & 584428 & 582250.956703062 & 2177.04329693783 \tabularnewline
81 & 589379 & 591240.41924412 & -1861.41924412025 \tabularnewline
82 & 590865 & 595704.543874355 & -4839.54387435468 \tabularnewline
83 & 595454 & 583537.785532445 & 11916.2144675546 \tabularnewline
84 & 594167 & 591984.017327899 & 2182.98267210135 \tabularnewline
85 & 611324 & 610251.860677665 & 1072.13932233537 \tabularnewline
86 & 612613 & 635244.896429347 & -22631.896429347 \tabularnewline
87 & 610763 & 628433.206076637 & -17670.2060766369 \tabularnewline
88 & 593530 & 602113.471602624 & -8583.4716026237 \tabularnewline
89 & 542722 & 532481.8073311 & 10240.1926689005 \tabularnewline
90 & 536662 & 531481.201976687 & 5180.79802331293 \tabularnewline
91 & 543599 & 548444.563365665 & -4845.56336566503 \tabularnewline
92 & 555332 & 549584.517055513 & 5747.48294448678 \tabularnewline
93 & 560854 & 559504.788418521 & 1349.21158147859 \tabularnewline
94 & 562325 & 564907.654926503 & -2582.65492650261 \tabularnewline
95 & 554788 & 553637.232935832 & 1150.76706416754 \tabularnewline
96 & 547344 & 548726.92290964 & -1382.92290963966 \tabularnewline
97 & 565464 & 558880.642702929 & 6583.35729707149 \tabularnewline
98 & 577992 & 584844.061303435 & -6852.06130343536 \tabularnewline
99 & 579714 & 591760.861718452 & -12046.861718452 \tabularnewline
100 & 569323 & 570895.830245027 & -1572.83024502685 \tabularnewline
101 & 506971 & 510926.508624314 & -3955.50862431404 \tabularnewline
102 & 500857 & 495029.036648259 & 5827.96335174085 \tabularnewline
103 & 509127 & 510489.212098665 & -1362.2120986646 \tabularnewline
104 & 509933 & 513720.758786928 & -3787.75878692779 \tabularnewline
105 & 517009 & 511655.005888835 & 5353.994111165 \tabularnewline
106 & 519164 & 519093.637973569 & 70.3620264307247 \tabularnewline
107 & 512238 & 509789.217853021 & 2448.78214697872 \tabularnewline
108 & 509239 & 505455.179418925 & 3783.82058107475 \tabularnewline
109 & 518585 & 519360.484949895 & -775.484949895123 \tabularnewline
110 & 522975 & 534893.864589454 & -11918.8645894541 \tabularnewline
111 & 525192 & 533244.490160774 & -8052.49016077374 \tabularnewline
112 & 516847 & 515359.824334282 & 1487.1756657181 \tabularnewline
113 & 455626 & 462473.718855819 & -6847.71885581937 \tabularnewline
114 & 454724 & 443158.940825633 & 11565.0591743672 \tabularnewline
115 & 461251 & 462456.730526806 & -1205.73052680638 \tabularnewline
116 & 470439 & 464382.29682902 & 6056.70317097974 \tabularnewline
117 & 474605 & 472139.004060957 & 2465.99593904341 \tabularnewline
118 & 476049 & 476332.534155845 & -283.534155845235 \tabularnewline
119 & 471067 & 467226.586150252 & 3840.41384974844 \tabularnewline
120 & 470984 & 464792.475805241 & 6191.52419475885 \tabularnewline
121 & 502831 & 480636.236609395 & 22194.7633906054 \tabularnewline
122 & 512927 & 521764.502454748 & -8837.5024547478 \tabularnewline
123 & 509673 & 526567.86836691 & -16894.8683669096 \tabularnewline
124 & 484015 & 502601.392912938 & -18586.3929129383 \tabularnewline
125 & 431328 & 433121.889068825 & -1793.88906882546 \tabularnewline
126 & 436087 & 420119.436158748 & 15967.5638412522 \tabularnewline
127 & 442867 & 444743.597497274 & -1876.59749727434 \tabularnewline
128 & 447988 & 447054.592172192 & 933.407827807532 \tabularnewline
129 & 460070 & 450212.996424705 & 9857.00357529486 \tabularnewline
130 & 467037 & 463272.299339253 & 3764.70066074748 \tabularnewline
131 & 460170 & 460380.597159224 & -210.597159224446 \tabularnewline
132 & 464196 & 455563.848562148 & 8632.15143785201 \tabularnewline
133 & 485025 & 475588.000670796 & 9436.99932920415 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148928&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]563668[/C][C]552290.189547213[/C][C]11377.810452787[/C][/ROW]
[ROW][C]14[/C][C]586111[/C][C]587547.652051669[/C][C]-1436.65205166943[/C][/ROW]
[ROW][C]15[/C][C]604378[/C][C]605425.394514235[/C][C]-1047.3945142345[/C][/ROW]
[ROW][C]16[/C][C]600991[/C][C]601842.743817279[/C][C]-851.743817278882[/C][/ROW]
[ROW][C]17[/C][C]544686[/C][C]545482.377585225[/C][C]-796.377585225389[/C][/ROW]
[ROW][C]18[/C][C]537034[/C][C]538337.182251668[/C][C]-1303.18225166795[/C][/ROW]
[ROW][C]19[/C][C]551531[/C][C]553118.048042585[/C][C]-1587.04804258491[/C][/ROW]
[ROW][C]20[/C][C]563250[/C][C]562373.086562812[/C][C]876.913437188137[/C][/ROW]
[ROW][C]21[/C][C]574761[/C][C]571731.789144369[/C][C]3029.21085563092[/C][/ROW]
[ROW][C]22[/C][C]580112[/C][C]583415.25420012[/C][C]-3303.25420011976[/C][/ROW]
[ROW][C]23[/C][C]575093[/C][C]575533.895256513[/C][C]-440.895256512798[/C][/ROW]
[ROW][C]24[/C][C]557560[/C][C]572984.999320969[/C][C]-15424.999320969[/C][/ROW]
[ROW][C]25[/C][C]564478[/C][C]571923.397087964[/C][C]-7445.39708796388[/C][/ROW]
[ROW][C]26[/C][C]580523[/C][C]584836.562514319[/C][C]-4313.56251431943[/C][/ROW]
[ROW][C]27[/C][C]596594[/C][C]595700.186084085[/C][C]893.813915915205[/C][/ROW]
[ROW][C]28[/C][C]586570[/C][C]590403.488805559[/C][C]-3833.48880555865[/C][/ROW]
[ROW][C]29[/C][C]536214[/C][C]528785.50967207[/C][C]7428.49032793008[/C][/ROW]
[ROW][C]30[/C][C]523597[/C][C]527312.050876435[/C][C]-3715.05087643536[/C][/ROW]
[ROW][C]31[/C][C]536535[/C][C]536299.629809384[/C][C]235.370190615649[/C][/ROW]
[ROW][C]32[/C][C]536322[/C][C]544268.657974212[/C][C]-7946.65797421173[/C][/ROW]
[ROW][C]33[/C][C]532638[/C][C]540593.855046736[/C][C]-7955.85504673561[/C][/ROW]
[ROW][C]34[/C][C]528222[/C][C]535641.963340722[/C][C]-7419.96334072226[/C][/ROW]
[ROW][C]35[/C][C]516141[/C][C]518647.80761801[/C][C]-2506.80761801038[/C][/ROW]
[ROW][C]36[/C][C]501866[/C][C]508679.190577941[/C][C]-6813.19057794084[/C][/ROW]
[ROW][C]37[/C][C]506174[/C][C]509905.915373264[/C][C]-3731.91537326376[/C][/ROW]
[ROW][C]38[/C][C]517945[/C][C]519712.523920857[/C][C]-1767.52392085682[/C][/ROW]
[ROW][C]39[/C][C]533590[/C][C]526882.137530391[/C][C]6707.86246960936[/C][/ROW]
[ROW][C]40[/C][C]528379[/C][C]524160.03617295[/C][C]4218.96382705006[/C][/ROW]
[ROW][C]41[/C][C]477580[/C][C]473603.215997897[/C][C]3976.78400210274[/C][/ROW]
[ROW][C]42[/C][C]469357[/C][C]466667.455964497[/C][C]2689.54403550323[/C][/ROW]
[ROW][C]43[/C][C]490243[/C][C]478387.341955415[/C][C]11855.6580445851[/C][/ROW]
[ROW][C]44[/C][C]492622[/C][C]496271.384351445[/C][C]-3649.38435144548[/C][/ROW]
[ROW][C]45[/C][C]507561[/C][C]495919.032493358[/C][C]11641.9675066422[/C][/ROW]
[ROW][C]46[/C][C]516922[/C][C]512050.23478455[/C][C]4871.76521545008[/C][/ROW]
[ROW][C]47[/C][C]514258[/C][C]510583.733531872[/C][C]3674.26646812796[/C][/ROW]
[ROW][C]48[/C][C]509846[/C][C]510583.579611763[/C][C]-737.579611762601[/C][/ROW]
[ROW][C]49[/C][C]527070[/C][C]522656.200853052[/C][C]4413.7991469485[/C][/ROW]
[ROW][C]50[/C][C]541657[/C][C]547071.331530476[/C][C]-5414.33153047645[/C][/ROW]
[ROW][C]51[/C][C]564591[/C][C]556674.53734768[/C][C]7916.46265231993[/C][/ROW]
[ROW][C]52[/C][C]555362[/C][C]560387.680840902[/C][C]-5025.68084090203[/C][/ROW]
[ROW][C]53[/C][C]498662[/C][C]502003.356602906[/C][C]-3341.35660290555[/C][/ROW]
[ROW][C]54[/C][C]511038[/C][C]490549.709954275[/C][C]20488.2900457251[/C][/ROW]
[ROW][C]55[/C][C]525919[/C][C]526424.925214376[/C][C]-505.925214376301[/C][/ROW]
[ROW][C]56[/C][C]531673[/C][C]536451.713985039[/C][C]-4778.71398503915[/C][/ROW]
[ROW][C]57[/C][C]548854[/C][C]539253.559984592[/C][C]9600.44001540844[/C][/ROW]
[ROW][C]58[/C][C]560576[/C][C]557431.664321572[/C][C]3144.33567842771[/C][/ROW]
[ROW][C]59[/C][C]557274[/C][C]557141.95267643[/C][C]132.047323570005[/C][/ROW]
[ROW][C]60[/C][C]565742[/C][C]556270.056605237[/C][C]9471.94339476258[/C][/ROW]
[ROW][C]61[/C][C]587625[/C][C]584198.511982946[/C][C]3426.48801705427[/C][/ROW]
[ROW][C]62[/C][C]619916[/C][C]614142.971550018[/C][C]5773.02844998229[/C][/ROW]
[ROW][C]63[/C][C]625809[/C][C]642812.81821346[/C][C]-17003.8182134597[/C][/ROW]
[ROW][C]64[/C][C]619567[/C][C]623906.191071129[/C][C]-4339.19107112929[/C][/ROW]
[ROW][C]65[/C][C]572942[/C][C]562652.075358768[/C][C]10289.924641232[/C][/ROW]
[ROW][C]66[/C][C]572775[/C][C]567757.581787237[/C][C]5017.41821276303[/C][/ROW]
[ROW][C]67[/C][C]574205[/C][C]592169.631276032[/C][C]-17964.6312760318[/C][/ROW]
[ROW][C]68[/C][C]579799[/C][C]585947.07091375[/C][C]-6148.0709137501[/C][/ROW]
[ROW][C]69[/C][C]590072[/C][C]588206.083229697[/C][C]1865.91677030281[/C][/ROW]
[ROW][C]70[/C][C]593408[/C][C]598493.503297603[/C][C]-5085.50329760276[/C][/ROW]
[ROW][C]71[/C][C]597141[/C][C]588085.937809698[/C][C]9055.0621903023[/C][/ROW]
[ROW][C]72[/C][C]595404[/C][C]595354.808003127[/C][C]49.1919968733564[/C][/ROW]
[ROW][C]73[/C][C]612117[/C][C]613009.182838347[/C][C]-892.182838347391[/C][/ROW]
[ROW][C]74[/C][C]628232[/C][C]637379.247247959[/C][C]-9147.24724795902[/C][/ROW]
[ROW][C]75[/C][C]628884[/C][C]647405.009490788[/C][C]-18521.0094907878[/C][/ROW]
[ROW][C]76[/C][C]620735[/C][C]622866.832018274[/C][C]-2131.83201827446[/C][/ROW]
[ROW][C]77[/C][C]569028[/C][C]560244.088107678[/C][C]8783.91189232212[/C][/ROW]
[ROW][C]78[/C][C]567456[/C][C]560333.309007557[/C][C]7122.69099244301[/C][/ROW]
[ROW][C]79[/C][C]573100[/C][C]583296.938908878[/C][C]-10196.9389088777[/C][/ROW]
[ROW][C]80[/C][C]584428[/C][C]582250.956703062[/C][C]2177.04329693783[/C][/ROW]
[ROW][C]81[/C][C]589379[/C][C]591240.41924412[/C][C]-1861.41924412025[/C][/ROW]
[ROW][C]82[/C][C]590865[/C][C]595704.543874355[/C][C]-4839.54387435468[/C][/ROW]
[ROW][C]83[/C][C]595454[/C][C]583537.785532445[/C][C]11916.2144675546[/C][/ROW]
[ROW][C]84[/C][C]594167[/C][C]591984.017327899[/C][C]2182.98267210135[/C][/ROW]
[ROW][C]85[/C][C]611324[/C][C]610251.860677665[/C][C]1072.13932233537[/C][/ROW]
[ROW][C]86[/C][C]612613[/C][C]635244.896429347[/C][C]-22631.896429347[/C][/ROW]
[ROW][C]87[/C][C]610763[/C][C]628433.206076637[/C][C]-17670.2060766369[/C][/ROW]
[ROW][C]88[/C][C]593530[/C][C]602113.471602624[/C][C]-8583.4716026237[/C][/ROW]
[ROW][C]89[/C][C]542722[/C][C]532481.8073311[/C][C]10240.1926689005[/C][/ROW]
[ROW][C]90[/C][C]536662[/C][C]531481.201976687[/C][C]5180.79802331293[/C][/ROW]
[ROW][C]91[/C][C]543599[/C][C]548444.563365665[/C][C]-4845.56336566503[/C][/ROW]
[ROW][C]92[/C][C]555332[/C][C]549584.517055513[/C][C]5747.48294448678[/C][/ROW]
[ROW][C]93[/C][C]560854[/C][C]559504.788418521[/C][C]1349.21158147859[/C][/ROW]
[ROW][C]94[/C][C]562325[/C][C]564907.654926503[/C][C]-2582.65492650261[/C][/ROW]
[ROW][C]95[/C][C]554788[/C][C]553637.232935832[/C][C]1150.76706416754[/C][/ROW]
[ROW][C]96[/C][C]547344[/C][C]548726.92290964[/C][C]-1382.92290963966[/C][/ROW]
[ROW][C]97[/C][C]565464[/C][C]558880.642702929[/C][C]6583.35729707149[/C][/ROW]
[ROW][C]98[/C][C]577992[/C][C]584844.061303435[/C][C]-6852.06130343536[/C][/ROW]
[ROW][C]99[/C][C]579714[/C][C]591760.861718452[/C][C]-12046.861718452[/C][/ROW]
[ROW][C]100[/C][C]569323[/C][C]570895.830245027[/C][C]-1572.83024502685[/C][/ROW]
[ROW][C]101[/C][C]506971[/C][C]510926.508624314[/C][C]-3955.50862431404[/C][/ROW]
[ROW][C]102[/C][C]500857[/C][C]495029.036648259[/C][C]5827.96335174085[/C][/ROW]
[ROW][C]103[/C][C]509127[/C][C]510489.212098665[/C][C]-1362.2120986646[/C][/ROW]
[ROW][C]104[/C][C]509933[/C][C]513720.758786928[/C][C]-3787.75878692779[/C][/ROW]
[ROW][C]105[/C][C]517009[/C][C]511655.005888835[/C][C]5353.994111165[/C][/ROW]
[ROW][C]106[/C][C]519164[/C][C]519093.637973569[/C][C]70.3620264307247[/C][/ROW]
[ROW][C]107[/C][C]512238[/C][C]509789.217853021[/C][C]2448.78214697872[/C][/ROW]
[ROW][C]108[/C][C]509239[/C][C]505455.179418925[/C][C]3783.82058107475[/C][/ROW]
[ROW][C]109[/C][C]518585[/C][C]519360.484949895[/C][C]-775.484949895123[/C][/ROW]
[ROW][C]110[/C][C]522975[/C][C]534893.864589454[/C][C]-11918.8645894541[/C][/ROW]
[ROW][C]111[/C][C]525192[/C][C]533244.490160774[/C][C]-8052.49016077374[/C][/ROW]
[ROW][C]112[/C][C]516847[/C][C]515359.824334282[/C][C]1487.1756657181[/C][/ROW]
[ROW][C]113[/C][C]455626[/C][C]462473.718855819[/C][C]-6847.71885581937[/C][/ROW]
[ROW][C]114[/C][C]454724[/C][C]443158.940825633[/C][C]11565.0591743672[/C][/ROW]
[ROW][C]115[/C][C]461251[/C][C]462456.730526806[/C][C]-1205.73052680638[/C][/ROW]
[ROW][C]116[/C][C]470439[/C][C]464382.29682902[/C][C]6056.70317097974[/C][/ROW]
[ROW][C]117[/C][C]474605[/C][C]472139.004060957[/C][C]2465.99593904341[/C][/ROW]
[ROW][C]118[/C][C]476049[/C][C]476332.534155845[/C][C]-283.534155845235[/C][/ROW]
[ROW][C]119[/C][C]471067[/C][C]467226.586150252[/C][C]3840.41384974844[/C][/ROW]
[ROW][C]120[/C][C]470984[/C][C]464792.475805241[/C][C]6191.52419475885[/C][/ROW]
[ROW][C]121[/C][C]502831[/C][C]480636.236609395[/C][C]22194.7633906054[/C][/ROW]
[ROW][C]122[/C][C]512927[/C][C]521764.502454748[/C][C]-8837.5024547478[/C][/ROW]
[ROW][C]123[/C][C]509673[/C][C]526567.86836691[/C][C]-16894.8683669096[/C][/ROW]
[ROW][C]124[/C][C]484015[/C][C]502601.392912938[/C][C]-18586.3929129383[/C][/ROW]
[ROW][C]125[/C][C]431328[/C][C]433121.889068825[/C][C]-1793.88906882546[/C][/ROW]
[ROW][C]126[/C][C]436087[/C][C]420119.436158748[/C][C]15967.5638412522[/C][/ROW]
[ROW][C]127[/C][C]442867[/C][C]444743.597497274[/C][C]-1876.59749727434[/C][/ROW]
[ROW][C]128[/C][C]447988[/C][C]447054.592172192[/C][C]933.407827807532[/C][/ROW]
[ROW][C]129[/C][C]460070[/C][C]450212.996424705[/C][C]9857.00357529486[/C][/ROW]
[ROW][C]130[/C][C]467037[/C][C]463272.299339253[/C][C]3764.70066074748[/C][/ROW]
[ROW][C]131[/C][C]460170[/C][C]460380.597159224[/C][C]-210.597159224446[/C][/ROW]
[ROW][C]132[/C][C]464196[/C][C]455563.848562148[/C][C]8632.15143785201[/C][/ROW]
[ROW][C]133[/C][C]485025[/C][C]475588.000670796[/C][C]9436.99932920415[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148928&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148928&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
13563668552290.18954721311377.810452787
14586111587547.652051669-1436.65205166943
15604378605425.394514235-1047.3945142345
16600991601842.743817279-851.743817278882
17544686545482.377585225-796.377585225389
18537034538337.182251668-1303.18225166795
19551531553118.048042585-1587.04804258491
20563250562373.086562812876.913437188137
21574761571731.7891443693029.21085563092
22580112583415.25420012-3303.25420011976
23575093575533.895256513-440.895256512798
24557560572984.999320969-15424.999320969
25564478571923.397087964-7445.39708796388
26580523584836.562514319-4313.56251431943
27596594595700.186084085893.813915915205
28586570590403.488805559-3833.48880555865
29536214528785.509672077428.49032793008
30523597527312.050876435-3715.05087643536
31536535536299.629809384235.370190615649
32536322544268.657974212-7946.65797421173
33532638540593.855046736-7955.85504673561
34528222535641.963340722-7419.96334072226
35516141518647.80761801-2506.80761801038
36501866508679.190577941-6813.19057794084
37506174509905.915373264-3731.91537326376
38517945519712.523920857-1767.52392085682
39533590526882.1375303916707.86246960936
40528379524160.036172954218.96382705006
41477580473603.2159978973976.78400210274
42469357466667.4559644972689.54403550323
43490243478387.34195541511855.6580445851
44492622496271.384351445-3649.38435144548
45507561495919.03249335811641.9675066422
46516922512050.234784554871.76521545008
47514258510583.7335318723674.26646812796
48509846510583.579611763-737.579611762601
49527070522656.2008530524413.7991469485
50541657547071.331530476-5414.33153047645
51564591556674.537347687916.46265231993
52555362560387.680840902-5025.68084090203
53498662502003.356602906-3341.35660290555
54511038490549.70995427520488.2900457251
55525919526424.925214376-505.925214376301
56531673536451.713985039-4778.71398503915
57548854539253.5599845929600.44001540844
58560576557431.6643215723144.33567842771
59557274557141.95267643132.047323570005
60565742556270.0566052379471.94339476258
61587625584198.5119829463426.48801705427
62619916614142.9715500185773.02844998229
63625809642812.81821346-17003.8182134597
64619567623906.191071129-4339.19107112929
65572942562652.07535876810289.924641232
66572775567757.5817872375017.41821276303
67574205592169.631276032-17964.6312760318
68579799585947.07091375-6148.0709137501
69590072588206.0832296971865.91677030281
70593408598493.503297603-5085.50329760276
71597141588085.9378096989055.0621903023
72595404595354.80800312749.1919968733564
73612117613009.182838347-892.182838347391
74628232637379.247247959-9147.24724795902
75628884647405.009490788-18521.0094907878
76620735622866.832018274-2131.83201827446
77569028560244.0881076788783.91189232212
78567456560333.3090075577122.69099244301
79573100583296.938908878-10196.9389088777
80584428582250.9567030622177.04329693783
81589379591240.41924412-1861.41924412025
82590865595704.543874355-4839.54387435468
83595454583537.78553244511916.2144675546
84594167591984.0173278992182.98267210135
85611324610251.8606776651072.13932233537
86612613635244.896429347-22631.896429347
87610763628433.206076637-17670.2060766369
88593530602113.471602624-8583.4716026237
89542722532481.807331110240.1926689005
90536662531481.2019766875180.79802331293
91543599548444.563365665-4845.56336566503
92555332549584.5170555135747.48294448678
93560854559504.7884185211349.21158147859
94562325564907.654926503-2582.65492650261
95554788553637.2329358321150.76706416754
96547344548726.92290964-1382.92290963966
97565464558880.6427029296583.35729707149
98577992584844.061303435-6852.06130343536
99579714591760.861718452-12046.861718452
100569323570895.830245027-1572.83024502685
101506971510926.508624314-3955.50862431404
102500857495029.0366482595827.96335174085
103509127510489.212098665-1362.2120986646
104509933513720.758786928-3787.75878692779
105517009511655.0058888355353.994111165
106519164519093.63797356970.3620264307247
107512238509789.2178530212448.78214697872
108509239505455.1794189253783.82058107475
109518585519360.484949895-775.484949895123
110522975534893.864589454-11918.8645894541
111525192533244.490160774-8052.49016077374
112516847515359.8243342821487.1756657181
113455626462473.718855819-6847.71885581937
114454724443158.94082563311565.0591743672
115461251462456.730526806-1205.73052680638
116470439464382.296829026056.70317097974
117474605472139.0040609572465.99593904341
118476049476332.534155845-283.534155845235
119471067467226.5861502523840.41384974844
120470984464792.4758052416191.52419475885
121502831480636.23660939522194.7633906054
122512927521764.502454748-8837.5024547478
123509673526567.86836691-16894.8683669096
124484015502601.392912938-18586.3929129383
125431328433121.889068825-1793.88906882546
126436087420119.43615874815967.5638412522
127442867444743.597497274-1876.59749727434
128447988447054.592172192933.407827807532
129460070450212.9964247059857.00357529486
130467037463272.2993392533764.70066074748
131460170460380.597159224-210.597159224446
132464196455563.8485621488632.15143785201
133485025475588.0006707969436.99932920415







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
134503781.068027698488311.538964358519250.597091038
135518689.099857012495180.271312358542197.928401667
136514941.425211778484870.837259631545012.013163925
137466039.900320674432366.375813202499713.424828146
138459368.712159174419887.873872825498849.550445523
139471987.009491821425146.520028669518827.498954974
140480264.142931661426265.367724183534262.918139139
141486405.781888832425281.786383217547529.777394446
142492349.538384357423920.546038409560778.530730306
143487408.961679411413044.88918814561773.034170683
144484620.624727362403975.762360161565265.487094563
145497589.134000796409202.63237192585975.635629673

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
134 & 503781.068027698 & 488311.538964358 & 519250.597091038 \tabularnewline
135 & 518689.099857012 & 495180.271312358 & 542197.928401667 \tabularnewline
136 & 514941.425211778 & 484870.837259631 & 545012.013163925 \tabularnewline
137 & 466039.900320674 & 432366.375813202 & 499713.424828146 \tabularnewline
138 & 459368.712159174 & 419887.873872825 & 498849.550445523 \tabularnewline
139 & 471987.009491821 & 425146.520028669 & 518827.498954974 \tabularnewline
140 & 480264.142931661 & 426265.367724183 & 534262.918139139 \tabularnewline
141 & 486405.781888832 & 425281.786383217 & 547529.777394446 \tabularnewline
142 & 492349.538384357 & 423920.546038409 & 560778.530730306 \tabularnewline
143 & 487408.961679411 & 413044.88918814 & 561773.034170683 \tabularnewline
144 & 484620.624727362 & 403975.762360161 & 565265.487094563 \tabularnewline
145 & 497589.134000796 & 409202.63237192 & 585975.635629673 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148928&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]134[/C][C]503781.068027698[/C][C]488311.538964358[/C][C]519250.597091038[/C][/ROW]
[ROW][C]135[/C][C]518689.099857012[/C][C]495180.271312358[/C][C]542197.928401667[/C][/ROW]
[ROW][C]136[/C][C]514941.425211778[/C][C]484870.837259631[/C][C]545012.013163925[/C][/ROW]
[ROW][C]137[/C][C]466039.900320674[/C][C]432366.375813202[/C][C]499713.424828146[/C][/ROW]
[ROW][C]138[/C][C]459368.712159174[/C][C]419887.873872825[/C][C]498849.550445523[/C][/ROW]
[ROW][C]139[/C][C]471987.009491821[/C][C]425146.520028669[/C][C]518827.498954974[/C][/ROW]
[ROW][C]140[/C][C]480264.142931661[/C][C]426265.367724183[/C][C]534262.918139139[/C][/ROW]
[ROW][C]141[/C][C]486405.781888832[/C][C]425281.786383217[/C][C]547529.777394446[/C][/ROW]
[ROW][C]142[/C][C]492349.538384357[/C][C]423920.546038409[/C][C]560778.530730306[/C][/ROW]
[ROW][C]143[/C][C]487408.961679411[/C][C]413044.88918814[/C][C]561773.034170683[/C][/ROW]
[ROW][C]144[/C][C]484620.624727362[/C][C]403975.762360161[/C][C]565265.487094563[/C][/ROW]
[ROW][C]145[/C][C]497589.134000796[/C][C]409202.63237192[/C][C]585975.635629673[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148928&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148928&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
134503781.068027698488311.538964358519250.597091038
135518689.099857012495180.271312358542197.928401667
136514941.425211778484870.837259631545012.013163925
137466039.900320674432366.375813202499713.424828146
138459368.712159174419887.873872825498849.550445523
139471987.009491821425146.520028669518827.498954974
140480264.142931661426265.367724183534262.918139139
141486405.781888832425281.786383217547529.777394446
142492349.538384357423920.546038409560778.530730306
143487408.961679411413044.88918814561773.034170683
144484620.624727362403975.762360161565265.487094563
145497589.134000796409202.63237192585975.635629673



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