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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 16 Aug 2017 18:34:32 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/16/t1502901292wptvpdbst56y6al.htm/, Retrieved Sat, 11 May 2024 13:22:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307445, Retrieved Sat, 11 May 2024 13:22:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Aantal verkochte ...] [2017-08-16 16:34:32] [6bb7048e855cced252efb5418d255fa6] [Current]
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Dataseries X:
503334
503737
504101
504504
504894
505297
505687
506090
506493
506883
507286
507676
508079
508482
508846
509249
509639
510042
510432
510835
511238
511628
512031
512421
512824
513227
513604
514007
514397
514800
515190
515593
515996
516386
516789
517179
517582
517985
518349
518752
519142
519545
519935
520338
520741
521131
521534
521924
522327
522730
523094
523497
523887
524290
524680
525083
525486
525876
526279
526669
527072
527475
527839
528242
528632
529035
529425
529828
530231
530621
531024
531414
531817
532220
532597
533000
533390
533793
534183
534586
534989
535379
535782
536172
536575
536978
537342
537745
538135
538538
538928
539331
539734
540124
540527
540917
541320
541723
542087
542490
542880
543283
543673
544076
544479
544869
545272
545662




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307445&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307445&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307445&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[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307445&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
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13508079505706.52372.49999999994
14508482508482-5.82076609134674e-11
155088465088460
16509249509249-5.82076609134674e-11
175096395096395.82076609134674e-11
185100425100420
19510432510432-5.82076609134674e-11
205108355108350
21511238511238-5.82076609134674e-11
22511628511628-5.82076609134674e-11
235120315120310
245124215124210
255128245128240
26513227513227-5.82076609134674e-11
2751360451359113
28514007514007-5.82076609134674e-11
295143975143975.82076609134674e-11
305148005148000
31515190515190-5.82076609134674e-11
325155935155930
33515996515996-5.82076609134674e-11
34516386516386-5.82076609134674e-11
355167895167890
365171795171790
375175825175820
38517985517985-5.82076609134674e-11
395183495183490
40518752518752-5.82076609134674e-11
415191425191425.82076609134674e-11
425195455195450
43519935519935-5.82076609134674e-11
445203385203380
45520741520741-5.82076609134674e-11
46521131521131-5.82076609134674e-11
475215345215340
485219245219240
495223275223270
50522730522730-5.82076609134674e-11
515230945230940
52523497523497-5.82076609134674e-11
535238875238875.82076609134674e-11
545242905242900
555246805246800
565250835250830
575254865254860
585258765258760
595262795262791.16415321826935e-10
605266695266690
615270725270721.16415321826935e-10
625274755274750
635278395278390
645282425282420
655286325286321.16415321826935e-10
665290355290351.16415321826935e-10
675294255294250
685298285298280
695302315302310
705306215306210
715310245310241.16415321826935e-10
725314145314140
735318175318171.16415321826935e-10
745322205322200
7553259753258413
765330005330000
775333905333901.16415321826935e-10
785337935337931.16415321826935e-10
795341835341830
805345865345860
815349895349890
825353795353790
835357825357821.16415321826935e-10
845361725361720
855365755365751.16415321826935e-10
865369785369780
875373425373420
885377455377450
895381355381351.16415321826935e-10
905385385385381.16415321826935e-10
915389285389280
925393315393310
935397345397340
945401245401240
955405275405271.16415321826935e-10
965409175409170
975413205413201.16415321826935e-10
985417235417230
995420875420870
1005424905424900
1015428805428801.16415321826935e-10
1025432835432831.16415321826935e-10
1035436735436730
1045440765440760
1055444795444790
1065448695448690
1075452725452721.16415321826935e-10
1085456625456620

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 508079 & 505706.5 & 2372.49999999994 \tabularnewline
14 & 508482 & 508482 & -5.82076609134674e-11 \tabularnewline
15 & 508846 & 508846 & 0 \tabularnewline
16 & 509249 & 509249 & -5.82076609134674e-11 \tabularnewline
17 & 509639 & 509639 & 5.82076609134674e-11 \tabularnewline
18 & 510042 & 510042 & 0 \tabularnewline
19 & 510432 & 510432 & -5.82076609134674e-11 \tabularnewline
20 & 510835 & 510835 & 0 \tabularnewline
21 & 511238 & 511238 & -5.82076609134674e-11 \tabularnewline
22 & 511628 & 511628 & -5.82076609134674e-11 \tabularnewline
23 & 512031 & 512031 & 0 \tabularnewline
24 & 512421 & 512421 & 0 \tabularnewline
25 & 512824 & 512824 & 0 \tabularnewline
26 & 513227 & 513227 & -5.82076609134674e-11 \tabularnewline
27 & 513604 & 513591 & 13 \tabularnewline
28 & 514007 & 514007 & -5.82076609134674e-11 \tabularnewline
29 & 514397 & 514397 & 5.82076609134674e-11 \tabularnewline
30 & 514800 & 514800 & 0 \tabularnewline
31 & 515190 & 515190 & -5.82076609134674e-11 \tabularnewline
32 & 515593 & 515593 & 0 \tabularnewline
33 & 515996 & 515996 & -5.82076609134674e-11 \tabularnewline
34 & 516386 & 516386 & -5.82076609134674e-11 \tabularnewline
35 & 516789 & 516789 & 0 \tabularnewline
36 & 517179 & 517179 & 0 \tabularnewline
37 & 517582 & 517582 & 0 \tabularnewline
38 & 517985 & 517985 & -5.82076609134674e-11 \tabularnewline
39 & 518349 & 518349 & 0 \tabularnewline
40 & 518752 & 518752 & -5.82076609134674e-11 \tabularnewline
41 & 519142 & 519142 & 5.82076609134674e-11 \tabularnewline
42 & 519545 & 519545 & 0 \tabularnewline
43 & 519935 & 519935 & -5.82076609134674e-11 \tabularnewline
44 & 520338 & 520338 & 0 \tabularnewline
45 & 520741 & 520741 & -5.82076609134674e-11 \tabularnewline
46 & 521131 & 521131 & -5.82076609134674e-11 \tabularnewline
47 & 521534 & 521534 & 0 \tabularnewline
48 & 521924 & 521924 & 0 \tabularnewline
49 & 522327 & 522327 & 0 \tabularnewline
50 & 522730 & 522730 & -5.82076609134674e-11 \tabularnewline
51 & 523094 & 523094 & 0 \tabularnewline
52 & 523497 & 523497 & -5.82076609134674e-11 \tabularnewline
53 & 523887 & 523887 & 5.82076609134674e-11 \tabularnewline
54 & 524290 & 524290 & 0 \tabularnewline
55 & 524680 & 524680 & 0 \tabularnewline
56 & 525083 & 525083 & 0 \tabularnewline
57 & 525486 & 525486 & 0 \tabularnewline
58 & 525876 & 525876 & 0 \tabularnewline
59 & 526279 & 526279 & 1.16415321826935e-10 \tabularnewline
60 & 526669 & 526669 & 0 \tabularnewline
61 & 527072 & 527072 & 1.16415321826935e-10 \tabularnewline
62 & 527475 & 527475 & 0 \tabularnewline
63 & 527839 & 527839 & 0 \tabularnewline
64 & 528242 & 528242 & 0 \tabularnewline
65 & 528632 & 528632 & 1.16415321826935e-10 \tabularnewline
66 & 529035 & 529035 & 1.16415321826935e-10 \tabularnewline
67 & 529425 & 529425 & 0 \tabularnewline
68 & 529828 & 529828 & 0 \tabularnewline
69 & 530231 & 530231 & 0 \tabularnewline
70 & 530621 & 530621 & 0 \tabularnewline
71 & 531024 & 531024 & 1.16415321826935e-10 \tabularnewline
72 & 531414 & 531414 & 0 \tabularnewline
73 & 531817 & 531817 & 1.16415321826935e-10 \tabularnewline
74 & 532220 & 532220 & 0 \tabularnewline
75 & 532597 & 532584 & 13 \tabularnewline
76 & 533000 & 533000 & 0 \tabularnewline
77 & 533390 & 533390 & 1.16415321826935e-10 \tabularnewline
78 & 533793 & 533793 & 1.16415321826935e-10 \tabularnewline
79 & 534183 & 534183 & 0 \tabularnewline
80 & 534586 & 534586 & 0 \tabularnewline
81 & 534989 & 534989 & 0 \tabularnewline
82 & 535379 & 535379 & 0 \tabularnewline
83 & 535782 & 535782 & 1.16415321826935e-10 \tabularnewline
84 & 536172 & 536172 & 0 \tabularnewline
85 & 536575 & 536575 & 1.16415321826935e-10 \tabularnewline
86 & 536978 & 536978 & 0 \tabularnewline
87 & 537342 & 537342 & 0 \tabularnewline
88 & 537745 & 537745 & 0 \tabularnewline
89 & 538135 & 538135 & 1.16415321826935e-10 \tabularnewline
90 & 538538 & 538538 & 1.16415321826935e-10 \tabularnewline
91 & 538928 & 538928 & 0 \tabularnewline
92 & 539331 & 539331 & 0 \tabularnewline
93 & 539734 & 539734 & 0 \tabularnewline
94 & 540124 & 540124 & 0 \tabularnewline
95 & 540527 & 540527 & 1.16415321826935e-10 \tabularnewline
96 & 540917 & 540917 & 0 \tabularnewline
97 & 541320 & 541320 & 1.16415321826935e-10 \tabularnewline
98 & 541723 & 541723 & 0 \tabularnewline
99 & 542087 & 542087 & 0 \tabularnewline
100 & 542490 & 542490 & 0 \tabularnewline
101 & 542880 & 542880 & 1.16415321826935e-10 \tabularnewline
102 & 543283 & 543283 & 1.16415321826935e-10 \tabularnewline
103 & 543673 & 543673 & 0 \tabularnewline
104 & 544076 & 544076 & 0 \tabularnewline
105 & 544479 & 544479 & 0 \tabularnewline
106 & 544869 & 544869 & 0 \tabularnewline
107 & 545272 & 545272 & 1.16415321826935e-10 \tabularnewline
108 & 545662 & 545662 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307445&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]508079[/C][C]505706.5[/C][C]2372.49999999994[/C][/ROW]
[ROW][C]14[/C][C]508482[/C][C]508482[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]15[/C][C]508846[/C][C]508846[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]509249[/C][C]509249[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]17[/C][C]509639[/C][C]509639[/C][C]5.82076609134674e-11[/C][/ROW]
[ROW][C]18[/C][C]510042[/C][C]510042[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]510432[/C][C]510432[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]20[/C][C]510835[/C][C]510835[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]511238[/C][C]511238[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]22[/C][C]511628[/C][C]511628[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]23[/C][C]512031[/C][C]512031[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]512421[/C][C]512421[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]512824[/C][C]512824[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]513227[/C][C]513227[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]27[/C][C]513604[/C][C]513591[/C][C]13[/C][/ROW]
[ROW][C]28[/C][C]514007[/C][C]514007[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]29[/C][C]514397[/C][C]514397[/C][C]5.82076609134674e-11[/C][/ROW]
[ROW][C]30[/C][C]514800[/C][C]514800[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]515190[/C][C]515190[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]32[/C][C]515593[/C][C]515593[/C][C]0[/C][/ROW]
[ROW][C]33[/C][C]515996[/C][C]515996[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]34[/C][C]516386[/C][C]516386[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]35[/C][C]516789[/C][C]516789[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]517179[/C][C]517179[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]517582[/C][C]517582[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]517985[/C][C]517985[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]39[/C][C]518349[/C][C]518349[/C][C]0[/C][/ROW]
[ROW][C]40[/C][C]518752[/C][C]518752[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]41[/C][C]519142[/C][C]519142[/C][C]5.82076609134674e-11[/C][/ROW]
[ROW][C]42[/C][C]519545[/C][C]519545[/C][C]0[/C][/ROW]
[ROW][C]43[/C][C]519935[/C][C]519935[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]44[/C][C]520338[/C][C]520338[/C][C]0[/C][/ROW]
[ROW][C]45[/C][C]520741[/C][C]520741[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]46[/C][C]521131[/C][C]521131[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]47[/C][C]521534[/C][C]521534[/C][C]0[/C][/ROW]
[ROW][C]48[/C][C]521924[/C][C]521924[/C][C]0[/C][/ROW]
[ROW][C]49[/C][C]522327[/C][C]522327[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]522730[/C][C]522730[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]51[/C][C]523094[/C][C]523094[/C][C]0[/C][/ROW]
[ROW][C]52[/C][C]523497[/C][C]523497[/C][C]-5.82076609134674e-11[/C][/ROW]
[ROW][C]53[/C][C]523887[/C][C]523887[/C][C]5.82076609134674e-11[/C][/ROW]
[ROW][C]54[/C][C]524290[/C][C]524290[/C][C]0[/C][/ROW]
[ROW][C]55[/C][C]524680[/C][C]524680[/C][C]0[/C][/ROW]
[ROW][C]56[/C][C]525083[/C][C]525083[/C][C]0[/C][/ROW]
[ROW][C]57[/C][C]525486[/C][C]525486[/C][C]0[/C][/ROW]
[ROW][C]58[/C][C]525876[/C][C]525876[/C][C]0[/C][/ROW]
[ROW][C]59[/C][C]526279[/C][C]526279[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]60[/C][C]526669[/C][C]526669[/C][C]0[/C][/ROW]
[ROW][C]61[/C][C]527072[/C][C]527072[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]62[/C][C]527475[/C][C]527475[/C][C]0[/C][/ROW]
[ROW][C]63[/C][C]527839[/C][C]527839[/C][C]0[/C][/ROW]
[ROW][C]64[/C][C]528242[/C][C]528242[/C][C]0[/C][/ROW]
[ROW][C]65[/C][C]528632[/C][C]528632[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]66[/C][C]529035[/C][C]529035[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]67[/C][C]529425[/C][C]529425[/C][C]0[/C][/ROW]
[ROW][C]68[/C][C]529828[/C][C]529828[/C][C]0[/C][/ROW]
[ROW][C]69[/C][C]530231[/C][C]530231[/C][C]0[/C][/ROW]
[ROW][C]70[/C][C]530621[/C][C]530621[/C][C]0[/C][/ROW]
[ROW][C]71[/C][C]531024[/C][C]531024[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]72[/C][C]531414[/C][C]531414[/C][C]0[/C][/ROW]
[ROW][C]73[/C][C]531817[/C][C]531817[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]74[/C][C]532220[/C][C]532220[/C][C]0[/C][/ROW]
[ROW][C]75[/C][C]532597[/C][C]532584[/C][C]13[/C][/ROW]
[ROW][C]76[/C][C]533000[/C][C]533000[/C][C]0[/C][/ROW]
[ROW][C]77[/C][C]533390[/C][C]533390[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]78[/C][C]533793[/C][C]533793[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]79[/C][C]534183[/C][C]534183[/C][C]0[/C][/ROW]
[ROW][C]80[/C][C]534586[/C][C]534586[/C][C]0[/C][/ROW]
[ROW][C]81[/C][C]534989[/C][C]534989[/C][C]0[/C][/ROW]
[ROW][C]82[/C][C]535379[/C][C]535379[/C][C]0[/C][/ROW]
[ROW][C]83[/C][C]535782[/C][C]535782[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]84[/C][C]536172[/C][C]536172[/C][C]0[/C][/ROW]
[ROW][C]85[/C][C]536575[/C][C]536575[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]86[/C][C]536978[/C][C]536978[/C][C]0[/C][/ROW]
[ROW][C]87[/C][C]537342[/C][C]537342[/C][C]0[/C][/ROW]
[ROW][C]88[/C][C]537745[/C][C]537745[/C][C]0[/C][/ROW]
[ROW][C]89[/C][C]538135[/C][C]538135[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]90[/C][C]538538[/C][C]538538[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]91[/C][C]538928[/C][C]538928[/C][C]0[/C][/ROW]
[ROW][C]92[/C][C]539331[/C][C]539331[/C][C]0[/C][/ROW]
[ROW][C]93[/C][C]539734[/C][C]539734[/C][C]0[/C][/ROW]
[ROW][C]94[/C][C]540124[/C][C]540124[/C][C]0[/C][/ROW]
[ROW][C]95[/C][C]540527[/C][C]540527[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]96[/C][C]540917[/C][C]540917[/C][C]0[/C][/ROW]
[ROW][C]97[/C][C]541320[/C][C]541320[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]98[/C][C]541723[/C][C]541723[/C][C]0[/C][/ROW]
[ROW][C]99[/C][C]542087[/C][C]542087[/C][C]0[/C][/ROW]
[ROW][C]100[/C][C]542490[/C][C]542490[/C][C]0[/C][/ROW]
[ROW][C]101[/C][C]542880[/C][C]542880[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]102[/C][C]543283[/C][C]543283[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]103[/C][C]543673[/C][C]543673[/C][C]0[/C][/ROW]
[ROW][C]104[/C][C]544076[/C][C]544076[/C][C]0[/C][/ROW]
[ROW][C]105[/C][C]544479[/C][C]544479[/C][C]0[/C][/ROW]
[ROW][C]106[/C][C]544869[/C][C]544869[/C][C]0[/C][/ROW]
[ROW][C]107[/C][C]545272[/C][C]545272[/C][C]1.16415321826935e-10[/C][/ROW]
[ROW][C]108[/C][C]545662[/C][C]545662[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307445&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307445&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
13508079505706.52372.49999999994
14508482508482-5.82076609134674e-11
155088465088460
16509249509249-5.82076609134674e-11
175096395096395.82076609134674e-11
185100425100420
19510432510432-5.82076609134674e-11
205108355108350
21511238511238-5.82076609134674e-11
22511628511628-5.82076609134674e-11
235120315120310
245124215124210
255128245128240
26513227513227-5.82076609134674e-11
2751360451359113
28514007514007-5.82076609134674e-11
295143975143975.82076609134674e-11
305148005148000
31515190515190-5.82076609134674e-11
325155935155930
33515996515996-5.82076609134674e-11
34516386516386-5.82076609134674e-11
355167895167890
365171795171790
375175825175820
38517985517985-5.82076609134674e-11
395183495183490
40518752518752-5.82076609134674e-11
415191425191425.82076609134674e-11
425195455195450
43519935519935-5.82076609134674e-11
445203385203380
45520741520741-5.82076609134674e-11
46521131521131-5.82076609134674e-11
475215345215340
485219245219240
495223275223270
50522730522730-5.82076609134674e-11
515230945230940
52523497523497-5.82076609134674e-11
535238875238875.82076609134674e-11
545242905242900
555246805246800
565250835250830
575254865254860
585258765258760
595262795262791.16415321826935e-10
605266695266690
615270725270721.16415321826935e-10
625274755274750
635278395278390
645282425282420
655286325286321.16415321826935e-10
665290355290351.16415321826935e-10
675294255294250
685298285298280
695302315302310
705306215306210
715310245310241.16415321826935e-10
725314145314140
735318175318171.16415321826935e-10
745322205322200
7553259753258413
765330005330000
775333905333901.16415321826935e-10
785337935337931.16415321826935e-10
795341835341830
805345865345860
815349895349890
825353795353790
835357825357821.16415321826935e-10
845361725361720
855365755365751.16415321826935e-10
865369785369780
875373425373420
885377455377450
895381355381351.16415321826935e-10
905385385385381.16415321826935e-10
915389285389280
925393315393310
935397345397340
945401245401240
955405275405271.16415321826935e-10
965409175409170
975413205413201.16415321826935e-10
985417235417230
995420875420870
1005424905424900
1015428805428801.16415321826935e-10
1025432835432831.16415321826935e-10
1035436735436730
1045440765440760
1055444795444790
1065448695448690
1075452725452721.16415321826935e-10
1085456625456620







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
109546065545590.450526684546539.549473316
110546468545796.88569882547139.11430118
111546832546010.056201512547653.943798488
112547235546285.901053368548184.098946632
113547625546563.875118979548686.124881021
114548028546865.595932669549190.40406733
115548418547162.460108809549673.53989119
116548821547478.771397639550163.22860236
117549224547800.351580052550647.648419947
118549614548113.342801889551114.657198111
119550017548443.09745255551590.902547449
120550407548763.112403024552050.887596976

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
109 & 546065 & 545590.450526684 & 546539.549473316 \tabularnewline
110 & 546468 & 545796.88569882 & 547139.11430118 \tabularnewline
111 & 546832 & 546010.056201512 & 547653.943798488 \tabularnewline
112 & 547235 & 546285.901053368 & 548184.098946632 \tabularnewline
113 & 547625 & 546563.875118979 & 548686.124881021 \tabularnewline
114 & 548028 & 546865.595932669 & 549190.40406733 \tabularnewline
115 & 548418 & 547162.460108809 & 549673.53989119 \tabularnewline
116 & 548821 & 547478.771397639 & 550163.22860236 \tabularnewline
117 & 549224 & 547800.351580052 & 550647.648419947 \tabularnewline
118 & 549614 & 548113.342801889 & 551114.657198111 \tabularnewline
119 & 550017 & 548443.09745255 & 551590.902547449 \tabularnewline
120 & 550407 & 548763.112403024 & 552050.887596976 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307445&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]109[/C][C]546065[/C][C]545590.450526684[/C][C]546539.549473316[/C][/ROW]
[ROW][C]110[/C][C]546468[/C][C]545796.88569882[/C][C]547139.11430118[/C][/ROW]
[ROW][C]111[/C][C]546832[/C][C]546010.056201512[/C][C]547653.943798488[/C][/ROW]
[ROW][C]112[/C][C]547235[/C][C]546285.901053368[/C][C]548184.098946632[/C][/ROW]
[ROW][C]113[/C][C]547625[/C][C]546563.875118979[/C][C]548686.124881021[/C][/ROW]
[ROW][C]114[/C][C]548028[/C][C]546865.595932669[/C][C]549190.40406733[/C][/ROW]
[ROW][C]115[/C][C]548418[/C][C]547162.460108809[/C][C]549673.53989119[/C][/ROW]
[ROW][C]116[/C][C]548821[/C][C]547478.771397639[/C][C]550163.22860236[/C][/ROW]
[ROW][C]117[/C][C]549224[/C][C]547800.351580052[/C][C]550647.648419947[/C][/ROW]
[ROW][C]118[/C][C]549614[/C][C]548113.342801889[/C][C]551114.657198111[/C][/ROW]
[ROW][C]119[/C][C]550017[/C][C]548443.09745255[/C][C]551590.902547449[/C][/ROW]
[ROW][C]120[/C][C]550407[/C][C]548763.112403024[/C][C]552050.887596976[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307445&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307445&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
109546065545590.450526684546539.549473316
110546468545796.88569882547139.11430118
111546832546010.056201512547653.943798488
112547235546285.901053368548184.098946632
113547625546563.875118979548686.124881021
114548028546865.595932669549190.40406733
115548418547162.460108809549673.53989119
116548821547478.771397639550163.22860236
117549224547800.351580052550647.648419947
118549614548113.342801889551114.657198111
119550017548443.09745255551590.902547449
120550407548763.112403024552050.887596976



Parameters (Session):
par1 = Aantal verkochte exemplaren van 'La Libre' ; par2 = Niet gekend ; par3 = Cijferreeks verkochte exemplaren La Libre. ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')