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, 02 Dec 2015 10:33:58 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/02/t14490524619k95uop99aajvee.htm/, Retrieved Fri, 17 May 2024 18:23:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284820, Retrieved Fri, 17 May 2024 18:23:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2015-12-02 10:33:58] [9bb4c1f5bf1774a1f2ccfa1e3d807630] [Current]
Feedback Forum

Post a new message
Dataseries X:
589
561
640
656
727
697
640
599
568
577
553
582
600
566
653
673
742
716
660
617
583
587
565
598
628
618
688
705
770
736
678
639
604
611
594
634
658
622
709
722
782
756
702
653
615
621
602
635
677
635
736
755
811
798
735
697
661
667
645
688
713
667
762
784
837
817
767
722
681
687
660
698
717
696
775
796
858
826
783
740
701
706
677
711
734
690
785
805
871
845
801
764
725
723
690
734
750
707
807
824
886
859
819
783
740
747
711
751
804
756
860
878
942
913
869
834
790
800
763
800
826
799
890
900
961
935
894
855
809
810
766
805
821
773
883
898
957
924
881
837
784
791
760
802
828
778
889
902
969
947
908
867
815
812
773
813
834
782
892
903
966
937
896
858
817
827
797
843




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284820&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284820&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284820&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.689329983928729
beta0
gamma0.836259241912938

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.689329983928729 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.836259241912938 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284820&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]0.689329983928729[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.836259241912938[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284820&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284820&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
alpha0.689329983928729
beta0
gamma0.836259241912938







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13600592.3800747863257.6199252136754
14566563.327502093692.67249790631024
15653652.0728527481140.92714725188614
16673672.9484141973070.0515858026928981
17742742.345424886799-0.345424886799378
18716716.218764204084-0.218764204084437
19660654.4710811944165.52891880558354
20617617.893781754763-0.893781754763495
21583586.805788907734-3.80578890773438
22587593.210462216747-6.21046221674726
23565564.8741887789710.125811221028698
24598593.8223652748924.17763472510785
25628616.33491356048211.6650864395176
26618588.78544685090429.2145531490959
27688695.37358874616-7.37358874616018
28705710.299732530236-5.2997325302365
29770775.904775395322-5.90477539532219
30736745.978794246414-9.97879424641417
31678678.996481793595-0.996481793595422
32639636.2524061413472.74759385865286
33604606.917981271819-2.91798127181858
34611613.309911262307-2.30991126230697
35594589.3085726491694.69142735083051
36634622.45663170816211.5433682918376
37658651.9918459828366.00815401716432
38622625.102249384052-3.10224938405167
39709699.9078264523199.09217354768134
40722726.72310313257-4.72310313257026
41782792.568443388069-10.5684433880685
42756758.369223220909-2.36922322090868
43702698.9660270532843.03397294671618
44653659.97297807334-6.97297807334041
45615622.465951283283-7.46595128328261
46621625.88080617603-4.88080617603021
47602601.92622509080.0737749091998694
48635633.6713367282491.32866327175134
49677654.72719616667422.2728038333258
50635636.682421437307-1.68242143730686
51736715.63484775512420.3651522448762
52755746.6317084924228.36829150757842
53811819.982716277641-8.98271627764132
54798789.0067482643558.99325173564466
55735738.839800771893-3.83980077189324
56697692.508640864044.49135913596001
57661662.77625068694-1.77625068694033
58667670.784809236728-3.78480923672828
59645648.872935200093-3.8729352000928
60688678.2234820613649.77651793863618
61713710.544002816522.45599718348046
62667672.615325451483-5.61532545148316
63762754.5846575697687.41534243023216
64784773.53803363271910.4619663672811
65837843.824470790686-6.82447079068606
66817819.006414676184-2.00641467618357
67767757.9230316459639.07696835403726
68722722.660228935738-0.660228935738246
69681687.748365391362-6.74836539136163
70687691.807671330622-4.80767133062204
71660669.167812598728-9.16781259872778
72698698.414578807471-0.414578807471457
73717721.808194793923-4.80819479392346
74696676.77515704434819.2248429556519
75775779.252938325415-4.25293832541524
76796790.9545335491575.04546645084304
77858853.0161869144924.9838130855079
78826837.589669151475-11.5896691514752
79783772.77973182848510.220268171515
80740735.7753095625724.22469043742763
81701702.649065468035-1.64906546803456
82706710.727665362859-4.7276653628586
83677687.010189511424-10.0101895114236
84711717.950376078711-6.95037607871109
85734735.697206650879-1.69720665087914
86690699.052465668492-9.05246566849235
87785775.9383068933099.06169310669065
88805799.2338085987225.76619140127764
89871861.7762616968059.2237383031952
90845844.9666496913380.0333503086619658
91801793.8350445615217.16495543847907
92764753.16684849335510.8331515066453
93725723.0700090293181.92999097068196
94723732.815937519644-9.81593751964385
95690704.218559779834-14.2185597798341
96734733.0527321240270.947267875972557
97750757.608422424689-7.6084224246888
98707714.978001931514-7.9780019315142
99807797.3105738516439.68942614835714
100824820.1826172065253.81738279347542
101886882.2799711073323.7200288926681
102859859.28881820429-0.288818204290351
103819809.7879284646739.21207153532703
104783771.48387070664311.5161292933575
105740739.5447812180650.455218781934832
106747745.2225049027071.77749509729347
107711723.4730236601-12.4730236600997
108751757.450538607965-6.45053860796463
109804774.68392499334229.316075006658
110756757.410650716817-1.41065071681726
111860848.86030443409511.1396955659048
112878871.2065011729236.79349882707731
113942935.3300884824796.66991151752086
114913913.330876951583-0.330876951583491
115869866.2693323965072.73066760349298
116834824.0960443244619.90395567553935
117790788.1720032366421.82799676335787
118800795.1395522206214.86044777937946
119763771.812948349511-8.81294834951063
120800809.878108616808-9.87810861680839
121826834.040958479783-8.0409584797834
122799783.0335369152715.9664630847296
123890889.7223446097470.277655390252903
124900903.451866534925-3.4518665349251
125961960.480908238060.519091761940444
126935932.4229426742242.57705732577597
127894888.1613157409745.83868425902551
128855849.9941018025995.00589819740071
129809808.5955432786560.40445672134399
130810815.369636240499-5.36963624049918
131766781.438771211862-15.4387712118621
132805814.659823758576-9.65982375857584
133821839.450436759762-18.4504367597616
134773787.50459395825-14.5045939582495
135883869.11282560713613.8871743928644
136898891.2548647447966.7451352552041
137957956.3446631625470.655336837453319
138924928.915276251119-4.91527625111905
139881880.3363320031990.66366799680145
140837838.385465809407-1.38546580940726
141784791.385690849146-7.38569084914582
142791791.289688279023-0.289688279022698
143760758.2446156637531.75538433624695
144802804.819489610651-2.81948961065075
145828832.041542873995-4.04154287399535
146778791.053315275121-13.0533152751211
147889881.0381573357567.96184266424359
148902897.2401810798484.75981892015182
149969959.3793076982279.62069230177258
150947936.68276010037610.317239899624
151908900.0534594311987.94654056880199
152867862.5905293302924.40947066970796
153815818.026515341823-3.02651534182269
154812822.778969391223-10.7789693912227
155773783.034632035448-10.0346320354475
156813820.293738860035-7.29373886003521
157834844.114067701019-10.1140677010193
158782796.598602133877-14.5986021338773
159892890.9779837864581.02201621354243
160903901.5642891539451.43571084605549
161966962.6748665786883.32513342131153
162937935.8195650130351.18043498696488
163896892.27608148073.72391851929956
164858850.9834382531377.01656174686343
165817806.28469615127710.7153038487231
166827818.4957054297968.50429457020368
167797792.2372794559634.76272054403739
168843840.4087309855492.5912690144512

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 600 & 592.380074786325 & 7.6199252136754 \tabularnewline
14 & 566 & 563.32750209369 & 2.67249790631024 \tabularnewline
15 & 653 & 652.072852748114 & 0.92714725188614 \tabularnewline
16 & 673 & 672.948414197307 & 0.0515858026928981 \tabularnewline
17 & 742 & 742.345424886799 & -0.345424886799378 \tabularnewline
18 & 716 & 716.218764204084 & -0.218764204084437 \tabularnewline
19 & 660 & 654.471081194416 & 5.52891880558354 \tabularnewline
20 & 617 & 617.893781754763 & -0.893781754763495 \tabularnewline
21 & 583 & 586.805788907734 & -3.80578890773438 \tabularnewline
22 & 587 & 593.210462216747 & -6.21046221674726 \tabularnewline
23 & 565 & 564.874188778971 & 0.125811221028698 \tabularnewline
24 & 598 & 593.822365274892 & 4.17763472510785 \tabularnewline
25 & 628 & 616.334913560482 & 11.6650864395176 \tabularnewline
26 & 618 & 588.785446850904 & 29.2145531490959 \tabularnewline
27 & 688 & 695.37358874616 & -7.37358874616018 \tabularnewline
28 & 705 & 710.299732530236 & -5.2997325302365 \tabularnewline
29 & 770 & 775.904775395322 & -5.90477539532219 \tabularnewline
30 & 736 & 745.978794246414 & -9.97879424641417 \tabularnewline
31 & 678 & 678.996481793595 & -0.996481793595422 \tabularnewline
32 & 639 & 636.252406141347 & 2.74759385865286 \tabularnewline
33 & 604 & 606.917981271819 & -2.91798127181858 \tabularnewline
34 & 611 & 613.309911262307 & -2.30991126230697 \tabularnewline
35 & 594 & 589.308572649169 & 4.69142735083051 \tabularnewline
36 & 634 & 622.456631708162 & 11.5433682918376 \tabularnewline
37 & 658 & 651.991845982836 & 6.00815401716432 \tabularnewline
38 & 622 & 625.102249384052 & -3.10224938405167 \tabularnewline
39 & 709 & 699.907826452319 & 9.09217354768134 \tabularnewline
40 & 722 & 726.72310313257 & -4.72310313257026 \tabularnewline
41 & 782 & 792.568443388069 & -10.5684433880685 \tabularnewline
42 & 756 & 758.369223220909 & -2.36922322090868 \tabularnewline
43 & 702 & 698.966027053284 & 3.03397294671618 \tabularnewline
44 & 653 & 659.97297807334 & -6.97297807334041 \tabularnewline
45 & 615 & 622.465951283283 & -7.46595128328261 \tabularnewline
46 & 621 & 625.88080617603 & -4.88080617603021 \tabularnewline
47 & 602 & 601.9262250908 & 0.0737749091998694 \tabularnewline
48 & 635 & 633.671336728249 & 1.32866327175134 \tabularnewline
49 & 677 & 654.727196166674 & 22.2728038333258 \tabularnewline
50 & 635 & 636.682421437307 & -1.68242143730686 \tabularnewline
51 & 736 & 715.634847755124 & 20.3651522448762 \tabularnewline
52 & 755 & 746.631708492422 & 8.36829150757842 \tabularnewline
53 & 811 & 819.982716277641 & -8.98271627764132 \tabularnewline
54 & 798 & 789.006748264355 & 8.99325173564466 \tabularnewline
55 & 735 & 738.839800771893 & -3.83980077189324 \tabularnewline
56 & 697 & 692.50864086404 & 4.49135913596001 \tabularnewline
57 & 661 & 662.77625068694 & -1.77625068694033 \tabularnewline
58 & 667 & 670.784809236728 & -3.78480923672828 \tabularnewline
59 & 645 & 648.872935200093 & -3.8729352000928 \tabularnewline
60 & 688 & 678.223482061364 & 9.77651793863618 \tabularnewline
61 & 713 & 710.54400281652 & 2.45599718348046 \tabularnewline
62 & 667 & 672.615325451483 & -5.61532545148316 \tabularnewline
63 & 762 & 754.584657569768 & 7.41534243023216 \tabularnewline
64 & 784 & 773.538033632719 & 10.4619663672811 \tabularnewline
65 & 837 & 843.824470790686 & -6.82447079068606 \tabularnewline
66 & 817 & 819.006414676184 & -2.00641467618357 \tabularnewline
67 & 767 & 757.923031645963 & 9.07696835403726 \tabularnewline
68 & 722 & 722.660228935738 & -0.660228935738246 \tabularnewline
69 & 681 & 687.748365391362 & -6.74836539136163 \tabularnewline
70 & 687 & 691.807671330622 & -4.80767133062204 \tabularnewline
71 & 660 & 669.167812598728 & -9.16781259872778 \tabularnewline
72 & 698 & 698.414578807471 & -0.414578807471457 \tabularnewline
73 & 717 & 721.808194793923 & -4.80819479392346 \tabularnewline
74 & 696 & 676.775157044348 & 19.2248429556519 \tabularnewline
75 & 775 & 779.252938325415 & -4.25293832541524 \tabularnewline
76 & 796 & 790.954533549157 & 5.04546645084304 \tabularnewline
77 & 858 & 853.016186914492 & 4.9838130855079 \tabularnewline
78 & 826 & 837.589669151475 & -11.5896691514752 \tabularnewline
79 & 783 & 772.779731828485 & 10.220268171515 \tabularnewline
80 & 740 & 735.775309562572 & 4.22469043742763 \tabularnewline
81 & 701 & 702.649065468035 & -1.64906546803456 \tabularnewline
82 & 706 & 710.727665362859 & -4.7276653628586 \tabularnewline
83 & 677 & 687.010189511424 & -10.0101895114236 \tabularnewline
84 & 711 & 717.950376078711 & -6.95037607871109 \tabularnewline
85 & 734 & 735.697206650879 & -1.69720665087914 \tabularnewline
86 & 690 & 699.052465668492 & -9.05246566849235 \tabularnewline
87 & 785 & 775.938306893309 & 9.06169310669065 \tabularnewline
88 & 805 & 799.233808598722 & 5.76619140127764 \tabularnewline
89 & 871 & 861.776261696805 & 9.2237383031952 \tabularnewline
90 & 845 & 844.966649691338 & 0.0333503086619658 \tabularnewline
91 & 801 & 793.835044561521 & 7.16495543847907 \tabularnewline
92 & 764 & 753.166848493355 & 10.8331515066453 \tabularnewline
93 & 725 & 723.070009029318 & 1.92999097068196 \tabularnewline
94 & 723 & 732.815937519644 & -9.81593751964385 \tabularnewline
95 & 690 & 704.218559779834 & -14.2185597798341 \tabularnewline
96 & 734 & 733.052732124027 & 0.947267875972557 \tabularnewline
97 & 750 & 757.608422424689 & -7.6084224246888 \tabularnewline
98 & 707 & 714.978001931514 & -7.9780019315142 \tabularnewline
99 & 807 & 797.310573851643 & 9.68942614835714 \tabularnewline
100 & 824 & 820.182617206525 & 3.81738279347542 \tabularnewline
101 & 886 & 882.279971107332 & 3.7200288926681 \tabularnewline
102 & 859 & 859.28881820429 & -0.288818204290351 \tabularnewline
103 & 819 & 809.787928464673 & 9.21207153532703 \tabularnewline
104 & 783 & 771.483870706643 & 11.5161292933575 \tabularnewline
105 & 740 & 739.544781218065 & 0.455218781934832 \tabularnewline
106 & 747 & 745.222504902707 & 1.77749509729347 \tabularnewline
107 & 711 & 723.4730236601 & -12.4730236600997 \tabularnewline
108 & 751 & 757.450538607965 & -6.45053860796463 \tabularnewline
109 & 804 & 774.683924993342 & 29.316075006658 \tabularnewline
110 & 756 & 757.410650716817 & -1.41065071681726 \tabularnewline
111 & 860 & 848.860304434095 & 11.1396955659048 \tabularnewline
112 & 878 & 871.206501172923 & 6.79349882707731 \tabularnewline
113 & 942 & 935.330088482479 & 6.66991151752086 \tabularnewline
114 & 913 & 913.330876951583 & -0.330876951583491 \tabularnewline
115 & 869 & 866.269332396507 & 2.73066760349298 \tabularnewline
116 & 834 & 824.096044324461 & 9.90395567553935 \tabularnewline
117 & 790 & 788.172003236642 & 1.82799676335787 \tabularnewline
118 & 800 & 795.139552220621 & 4.86044777937946 \tabularnewline
119 & 763 & 771.812948349511 & -8.81294834951063 \tabularnewline
120 & 800 & 809.878108616808 & -9.87810861680839 \tabularnewline
121 & 826 & 834.040958479783 & -8.0409584797834 \tabularnewline
122 & 799 & 783.03353691527 & 15.9664630847296 \tabularnewline
123 & 890 & 889.722344609747 & 0.277655390252903 \tabularnewline
124 & 900 & 903.451866534925 & -3.4518665349251 \tabularnewline
125 & 961 & 960.48090823806 & 0.519091761940444 \tabularnewline
126 & 935 & 932.422942674224 & 2.57705732577597 \tabularnewline
127 & 894 & 888.161315740974 & 5.83868425902551 \tabularnewline
128 & 855 & 849.994101802599 & 5.00589819740071 \tabularnewline
129 & 809 & 808.595543278656 & 0.40445672134399 \tabularnewline
130 & 810 & 815.369636240499 & -5.36963624049918 \tabularnewline
131 & 766 & 781.438771211862 & -15.4387712118621 \tabularnewline
132 & 805 & 814.659823758576 & -9.65982375857584 \tabularnewline
133 & 821 & 839.450436759762 & -18.4504367597616 \tabularnewline
134 & 773 & 787.50459395825 & -14.5045939582495 \tabularnewline
135 & 883 & 869.112825607136 & 13.8871743928644 \tabularnewline
136 & 898 & 891.254864744796 & 6.7451352552041 \tabularnewline
137 & 957 & 956.344663162547 & 0.655336837453319 \tabularnewline
138 & 924 & 928.915276251119 & -4.91527625111905 \tabularnewline
139 & 881 & 880.336332003199 & 0.66366799680145 \tabularnewline
140 & 837 & 838.385465809407 & -1.38546580940726 \tabularnewline
141 & 784 & 791.385690849146 & -7.38569084914582 \tabularnewline
142 & 791 & 791.289688279023 & -0.289688279022698 \tabularnewline
143 & 760 & 758.244615663753 & 1.75538433624695 \tabularnewline
144 & 802 & 804.819489610651 & -2.81948961065075 \tabularnewline
145 & 828 & 832.041542873995 & -4.04154287399535 \tabularnewline
146 & 778 & 791.053315275121 & -13.0533152751211 \tabularnewline
147 & 889 & 881.038157335756 & 7.96184266424359 \tabularnewline
148 & 902 & 897.240181079848 & 4.75981892015182 \tabularnewline
149 & 969 & 959.379307698227 & 9.62069230177258 \tabularnewline
150 & 947 & 936.682760100376 & 10.317239899624 \tabularnewline
151 & 908 & 900.053459431198 & 7.94654056880199 \tabularnewline
152 & 867 & 862.590529330292 & 4.40947066970796 \tabularnewline
153 & 815 & 818.026515341823 & -3.02651534182269 \tabularnewline
154 & 812 & 822.778969391223 & -10.7789693912227 \tabularnewline
155 & 773 & 783.034632035448 & -10.0346320354475 \tabularnewline
156 & 813 & 820.293738860035 & -7.29373886003521 \tabularnewline
157 & 834 & 844.114067701019 & -10.1140677010193 \tabularnewline
158 & 782 & 796.598602133877 & -14.5986021338773 \tabularnewline
159 & 892 & 890.977983786458 & 1.02201621354243 \tabularnewline
160 & 903 & 901.564289153945 & 1.43571084605549 \tabularnewline
161 & 966 & 962.674866578688 & 3.32513342131153 \tabularnewline
162 & 937 & 935.819565013035 & 1.18043498696488 \tabularnewline
163 & 896 & 892.2760814807 & 3.72391851929956 \tabularnewline
164 & 858 & 850.983438253137 & 7.01656174686343 \tabularnewline
165 & 817 & 806.284696151277 & 10.7153038487231 \tabularnewline
166 & 827 & 818.495705429796 & 8.50429457020368 \tabularnewline
167 & 797 & 792.237279455963 & 4.76272054403739 \tabularnewline
168 & 843 & 840.408730985549 & 2.5912690144512 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284820&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]600[/C][C]592.380074786325[/C][C]7.6199252136754[/C][/ROW]
[ROW][C]14[/C][C]566[/C][C]563.32750209369[/C][C]2.67249790631024[/C][/ROW]
[ROW][C]15[/C][C]653[/C][C]652.072852748114[/C][C]0.92714725188614[/C][/ROW]
[ROW][C]16[/C][C]673[/C][C]672.948414197307[/C][C]0.0515858026928981[/C][/ROW]
[ROW][C]17[/C][C]742[/C][C]742.345424886799[/C][C]-0.345424886799378[/C][/ROW]
[ROW][C]18[/C][C]716[/C][C]716.218764204084[/C][C]-0.218764204084437[/C][/ROW]
[ROW][C]19[/C][C]660[/C][C]654.471081194416[/C][C]5.52891880558354[/C][/ROW]
[ROW][C]20[/C][C]617[/C][C]617.893781754763[/C][C]-0.893781754763495[/C][/ROW]
[ROW][C]21[/C][C]583[/C][C]586.805788907734[/C][C]-3.80578890773438[/C][/ROW]
[ROW][C]22[/C][C]587[/C][C]593.210462216747[/C][C]-6.21046221674726[/C][/ROW]
[ROW][C]23[/C][C]565[/C][C]564.874188778971[/C][C]0.125811221028698[/C][/ROW]
[ROW][C]24[/C][C]598[/C][C]593.822365274892[/C][C]4.17763472510785[/C][/ROW]
[ROW][C]25[/C][C]628[/C][C]616.334913560482[/C][C]11.6650864395176[/C][/ROW]
[ROW][C]26[/C][C]618[/C][C]588.785446850904[/C][C]29.2145531490959[/C][/ROW]
[ROW][C]27[/C][C]688[/C][C]695.37358874616[/C][C]-7.37358874616018[/C][/ROW]
[ROW][C]28[/C][C]705[/C][C]710.299732530236[/C][C]-5.2997325302365[/C][/ROW]
[ROW][C]29[/C][C]770[/C][C]775.904775395322[/C][C]-5.90477539532219[/C][/ROW]
[ROW][C]30[/C][C]736[/C][C]745.978794246414[/C][C]-9.97879424641417[/C][/ROW]
[ROW][C]31[/C][C]678[/C][C]678.996481793595[/C][C]-0.996481793595422[/C][/ROW]
[ROW][C]32[/C][C]639[/C][C]636.252406141347[/C][C]2.74759385865286[/C][/ROW]
[ROW][C]33[/C][C]604[/C][C]606.917981271819[/C][C]-2.91798127181858[/C][/ROW]
[ROW][C]34[/C][C]611[/C][C]613.309911262307[/C][C]-2.30991126230697[/C][/ROW]
[ROW][C]35[/C][C]594[/C][C]589.308572649169[/C][C]4.69142735083051[/C][/ROW]
[ROW][C]36[/C][C]634[/C][C]622.456631708162[/C][C]11.5433682918376[/C][/ROW]
[ROW][C]37[/C][C]658[/C][C]651.991845982836[/C][C]6.00815401716432[/C][/ROW]
[ROW][C]38[/C][C]622[/C][C]625.102249384052[/C][C]-3.10224938405167[/C][/ROW]
[ROW][C]39[/C][C]709[/C][C]699.907826452319[/C][C]9.09217354768134[/C][/ROW]
[ROW][C]40[/C][C]722[/C][C]726.72310313257[/C][C]-4.72310313257026[/C][/ROW]
[ROW][C]41[/C][C]782[/C][C]792.568443388069[/C][C]-10.5684433880685[/C][/ROW]
[ROW][C]42[/C][C]756[/C][C]758.369223220909[/C][C]-2.36922322090868[/C][/ROW]
[ROW][C]43[/C][C]702[/C][C]698.966027053284[/C][C]3.03397294671618[/C][/ROW]
[ROW][C]44[/C][C]653[/C][C]659.97297807334[/C][C]-6.97297807334041[/C][/ROW]
[ROW][C]45[/C][C]615[/C][C]622.465951283283[/C][C]-7.46595128328261[/C][/ROW]
[ROW][C]46[/C][C]621[/C][C]625.88080617603[/C][C]-4.88080617603021[/C][/ROW]
[ROW][C]47[/C][C]602[/C][C]601.9262250908[/C][C]0.0737749091998694[/C][/ROW]
[ROW][C]48[/C][C]635[/C][C]633.671336728249[/C][C]1.32866327175134[/C][/ROW]
[ROW][C]49[/C][C]677[/C][C]654.727196166674[/C][C]22.2728038333258[/C][/ROW]
[ROW][C]50[/C][C]635[/C][C]636.682421437307[/C][C]-1.68242143730686[/C][/ROW]
[ROW][C]51[/C][C]736[/C][C]715.634847755124[/C][C]20.3651522448762[/C][/ROW]
[ROW][C]52[/C][C]755[/C][C]746.631708492422[/C][C]8.36829150757842[/C][/ROW]
[ROW][C]53[/C][C]811[/C][C]819.982716277641[/C][C]-8.98271627764132[/C][/ROW]
[ROW][C]54[/C][C]798[/C][C]789.006748264355[/C][C]8.99325173564466[/C][/ROW]
[ROW][C]55[/C][C]735[/C][C]738.839800771893[/C][C]-3.83980077189324[/C][/ROW]
[ROW][C]56[/C][C]697[/C][C]692.50864086404[/C][C]4.49135913596001[/C][/ROW]
[ROW][C]57[/C][C]661[/C][C]662.77625068694[/C][C]-1.77625068694033[/C][/ROW]
[ROW][C]58[/C][C]667[/C][C]670.784809236728[/C][C]-3.78480923672828[/C][/ROW]
[ROW][C]59[/C][C]645[/C][C]648.872935200093[/C][C]-3.8729352000928[/C][/ROW]
[ROW][C]60[/C][C]688[/C][C]678.223482061364[/C][C]9.77651793863618[/C][/ROW]
[ROW][C]61[/C][C]713[/C][C]710.54400281652[/C][C]2.45599718348046[/C][/ROW]
[ROW][C]62[/C][C]667[/C][C]672.615325451483[/C][C]-5.61532545148316[/C][/ROW]
[ROW][C]63[/C][C]762[/C][C]754.584657569768[/C][C]7.41534243023216[/C][/ROW]
[ROW][C]64[/C][C]784[/C][C]773.538033632719[/C][C]10.4619663672811[/C][/ROW]
[ROW][C]65[/C][C]837[/C][C]843.824470790686[/C][C]-6.82447079068606[/C][/ROW]
[ROW][C]66[/C][C]817[/C][C]819.006414676184[/C][C]-2.00641467618357[/C][/ROW]
[ROW][C]67[/C][C]767[/C][C]757.923031645963[/C][C]9.07696835403726[/C][/ROW]
[ROW][C]68[/C][C]722[/C][C]722.660228935738[/C][C]-0.660228935738246[/C][/ROW]
[ROW][C]69[/C][C]681[/C][C]687.748365391362[/C][C]-6.74836539136163[/C][/ROW]
[ROW][C]70[/C][C]687[/C][C]691.807671330622[/C][C]-4.80767133062204[/C][/ROW]
[ROW][C]71[/C][C]660[/C][C]669.167812598728[/C][C]-9.16781259872778[/C][/ROW]
[ROW][C]72[/C][C]698[/C][C]698.414578807471[/C][C]-0.414578807471457[/C][/ROW]
[ROW][C]73[/C][C]717[/C][C]721.808194793923[/C][C]-4.80819479392346[/C][/ROW]
[ROW][C]74[/C][C]696[/C][C]676.775157044348[/C][C]19.2248429556519[/C][/ROW]
[ROW][C]75[/C][C]775[/C][C]779.252938325415[/C][C]-4.25293832541524[/C][/ROW]
[ROW][C]76[/C][C]796[/C][C]790.954533549157[/C][C]5.04546645084304[/C][/ROW]
[ROW][C]77[/C][C]858[/C][C]853.016186914492[/C][C]4.9838130855079[/C][/ROW]
[ROW][C]78[/C][C]826[/C][C]837.589669151475[/C][C]-11.5896691514752[/C][/ROW]
[ROW][C]79[/C][C]783[/C][C]772.779731828485[/C][C]10.220268171515[/C][/ROW]
[ROW][C]80[/C][C]740[/C][C]735.775309562572[/C][C]4.22469043742763[/C][/ROW]
[ROW][C]81[/C][C]701[/C][C]702.649065468035[/C][C]-1.64906546803456[/C][/ROW]
[ROW][C]82[/C][C]706[/C][C]710.727665362859[/C][C]-4.7276653628586[/C][/ROW]
[ROW][C]83[/C][C]677[/C][C]687.010189511424[/C][C]-10.0101895114236[/C][/ROW]
[ROW][C]84[/C][C]711[/C][C]717.950376078711[/C][C]-6.95037607871109[/C][/ROW]
[ROW][C]85[/C][C]734[/C][C]735.697206650879[/C][C]-1.69720665087914[/C][/ROW]
[ROW][C]86[/C][C]690[/C][C]699.052465668492[/C][C]-9.05246566849235[/C][/ROW]
[ROW][C]87[/C][C]785[/C][C]775.938306893309[/C][C]9.06169310669065[/C][/ROW]
[ROW][C]88[/C][C]805[/C][C]799.233808598722[/C][C]5.76619140127764[/C][/ROW]
[ROW][C]89[/C][C]871[/C][C]861.776261696805[/C][C]9.2237383031952[/C][/ROW]
[ROW][C]90[/C][C]845[/C][C]844.966649691338[/C][C]0.0333503086619658[/C][/ROW]
[ROW][C]91[/C][C]801[/C][C]793.835044561521[/C][C]7.16495543847907[/C][/ROW]
[ROW][C]92[/C][C]764[/C][C]753.166848493355[/C][C]10.8331515066453[/C][/ROW]
[ROW][C]93[/C][C]725[/C][C]723.070009029318[/C][C]1.92999097068196[/C][/ROW]
[ROW][C]94[/C][C]723[/C][C]732.815937519644[/C][C]-9.81593751964385[/C][/ROW]
[ROW][C]95[/C][C]690[/C][C]704.218559779834[/C][C]-14.2185597798341[/C][/ROW]
[ROW][C]96[/C][C]734[/C][C]733.052732124027[/C][C]0.947267875972557[/C][/ROW]
[ROW][C]97[/C][C]750[/C][C]757.608422424689[/C][C]-7.6084224246888[/C][/ROW]
[ROW][C]98[/C][C]707[/C][C]714.978001931514[/C][C]-7.9780019315142[/C][/ROW]
[ROW][C]99[/C][C]807[/C][C]797.310573851643[/C][C]9.68942614835714[/C][/ROW]
[ROW][C]100[/C][C]824[/C][C]820.182617206525[/C][C]3.81738279347542[/C][/ROW]
[ROW][C]101[/C][C]886[/C][C]882.279971107332[/C][C]3.7200288926681[/C][/ROW]
[ROW][C]102[/C][C]859[/C][C]859.28881820429[/C][C]-0.288818204290351[/C][/ROW]
[ROW][C]103[/C][C]819[/C][C]809.787928464673[/C][C]9.21207153532703[/C][/ROW]
[ROW][C]104[/C][C]783[/C][C]771.483870706643[/C][C]11.5161292933575[/C][/ROW]
[ROW][C]105[/C][C]740[/C][C]739.544781218065[/C][C]0.455218781934832[/C][/ROW]
[ROW][C]106[/C][C]747[/C][C]745.222504902707[/C][C]1.77749509729347[/C][/ROW]
[ROW][C]107[/C][C]711[/C][C]723.4730236601[/C][C]-12.4730236600997[/C][/ROW]
[ROW][C]108[/C][C]751[/C][C]757.450538607965[/C][C]-6.45053860796463[/C][/ROW]
[ROW][C]109[/C][C]804[/C][C]774.683924993342[/C][C]29.316075006658[/C][/ROW]
[ROW][C]110[/C][C]756[/C][C]757.410650716817[/C][C]-1.41065071681726[/C][/ROW]
[ROW][C]111[/C][C]860[/C][C]848.860304434095[/C][C]11.1396955659048[/C][/ROW]
[ROW][C]112[/C][C]878[/C][C]871.206501172923[/C][C]6.79349882707731[/C][/ROW]
[ROW][C]113[/C][C]942[/C][C]935.330088482479[/C][C]6.66991151752086[/C][/ROW]
[ROW][C]114[/C][C]913[/C][C]913.330876951583[/C][C]-0.330876951583491[/C][/ROW]
[ROW][C]115[/C][C]869[/C][C]866.269332396507[/C][C]2.73066760349298[/C][/ROW]
[ROW][C]116[/C][C]834[/C][C]824.096044324461[/C][C]9.90395567553935[/C][/ROW]
[ROW][C]117[/C][C]790[/C][C]788.172003236642[/C][C]1.82799676335787[/C][/ROW]
[ROW][C]118[/C][C]800[/C][C]795.139552220621[/C][C]4.86044777937946[/C][/ROW]
[ROW][C]119[/C][C]763[/C][C]771.812948349511[/C][C]-8.81294834951063[/C][/ROW]
[ROW][C]120[/C][C]800[/C][C]809.878108616808[/C][C]-9.87810861680839[/C][/ROW]
[ROW][C]121[/C][C]826[/C][C]834.040958479783[/C][C]-8.0409584797834[/C][/ROW]
[ROW][C]122[/C][C]799[/C][C]783.03353691527[/C][C]15.9664630847296[/C][/ROW]
[ROW][C]123[/C][C]890[/C][C]889.722344609747[/C][C]0.277655390252903[/C][/ROW]
[ROW][C]124[/C][C]900[/C][C]903.451866534925[/C][C]-3.4518665349251[/C][/ROW]
[ROW][C]125[/C][C]961[/C][C]960.48090823806[/C][C]0.519091761940444[/C][/ROW]
[ROW][C]126[/C][C]935[/C][C]932.422942674224[/C][C]2.57705732577597[/C][/ROW]
[ROW][C]127[/C][C]894[/C][C]888.161315740974[/C][C]5.83868425902551[/C][/ROW]
[ROW][C]128[/C][C]855[/C][C]849.994101802599[/C][C]5.00589819740071[/C][/ROW]
[ROW][C]129[/C][C]809[/C][C]808.595543278656[/C][C]0.40445672134399[/C][/ROW]
[ROW][C]130[/C][C]810[/C][C]815.369636240499[/C][C]-5.36963624049918[/C][/ROW]
[ROW][C]131[/C][C]766[/C][C]781.438771211862[/C][C]-15.4387712118621[/C][/ROW]
[ROW][C]132[/C][C]805[/C][C]814.659823758576[/C][C]-9.65982375857584[/C][/ROW]
[ROW][C]133[/C][C]821[/C][C]839.450436759762[/C][C]-18.4504367597616[/C][/ROW]
[ROW][C]134[/C][C]773[/C][C]787.50459395825[/C][C]-14.5045939582495[/C][/ROW]
[ROW][C]135[/C][C]883[/C][C]869.112825607136[/C][C]13.8871743928644[/C][/ROW]
[ROW][C]136[/C][C]898[/C][C]891.254864744796[/C][C]6.7451352552041[/C][/ROW]
[ROW][C]137[/C][C]957[/C][C]956.344663162547[/C][C]0.655336837453319[/C][/ROW]
[ROW][C]138[/C][C]924[/C][C]928.915276251119[/C][C]-4.91527625111905[/C][/ROW]
[ROW][C]139[/C][C]881[/C][C]880.336332003199[/C][C]0.66366799680145[/C][/ROW]
[ROW][C]140[/C][C]837[/C][C]838.385465809407[/C][C]-1.38546580940726[/C][/ROW]
[ROW][C]141[/C][C]784[/C][C]791.385690849146[/C][C]-7.38569084914582[/C][/ROW]
[ROW][C]142[/C][C]791[/C][C]791.289688279023[/C][C]-0.289688279022698[/C][/ROW]
[ROW][C]143[/C][C]760[/C][C]758.244615663753[/C][C]1.75538433624695[/C][/ROW]
[ROW][C]144[/C][C]802[/C][C]804.819489610651[/C][C]-2.81948961065075[/C][/ROW]
[ROW][C]145[/C][C]828[/C][C]832.041542873995[/C][C]-4.04154287399535[/C][/ROW]
[ROW][C]146[/C][C]778[/C][C]791.053315275121[/C][C]-13.0533152751211[/C][/ROW]
[ROW][C]147[/C][C]889[/C][C]881.038157335756[/C][C]7.96184266424359[/C][/ROW]
[ROW][C]148[/C][C]902[/C][C]897.240181079848[/C][C]4.75981892015182[/C][/ROW]
[ROW][C]149[/C][C]969[/C][C]959.379307698227[/C][C]9.62069230177258[/C][/ROW]
[ROW][C]150[/C][C]947[/C][C]936.682760100376[/C][C]10.317239899624[/C][/ROW]
[ROW][C]151[/C][C]908[/C][C]900.053459431198[/C][C]7.94654056880199[/C][/ROW]
[ROW][C]152[/C][C]867[/C][C]862.590529330292[/C][C]4.40947066970796[/C][/ROW]
[ROW][C]153[/C][C]815[/C][C]818.026515341823[/C][C]-3.02651534182269[/C][/ROW]
[ROW][C]154[/C][C]812[/C][C]822.778969391223[/C][C]-10.7789693912227[/C][/ROW]
[ROW][C]155[/C][C]773[/C][C]783.034632035448[/C][C]-10.0346320354475[/C][/ROW]
[ROW][C]156[/C][C]813[/C][C]820.293738860035[/C][C]-7.29373886003521[/C][/ROW]
[ROW][C]157[/C][C]834[/C][C]844.114067701019[/C][C]-10.1140677010193[/C][/ROW]
[ROW][C]158[/C][C]782[/C][C]796.598602133877[/C][C]-14.5986021338773[/C][/ROW]
[ROW][C]159[/C][C]892[/C][C]890.977983786458[/C][C]1.02201621354243[/C][/ROW]
[ROW][C]160[/C][C]903[/C][C]901.564289153945[/C][C]1.43571084605549[/C][/ROW]
[ROW][C]161[/C][C]966[/C][C]962.674866578688[/C][C]3.32513342131153[/C][/ROW]
[ROW][C]162[/C][C]937[/C][C]935.819565013035[/C][C]1.18043498696488[/C][/ROW]
[ROW][C]163[/C][C]896[/C][C]892.2760814807[/C][C]3.72391851929956[/C][/ROW]
[ROW][C]164[/C][C]858[/C][C]850.983438253137[/C][C]7.01656174686343[/C][/ROW]
[ROW][C]165[/C][C]817[/C][C]806.284696151277[/C][C]10.7153038487231[/C][/ROW]
[ROW][C]166[/C][C]827[/C][C]818.495705429796[/C][C]8.50429457020368[/C][/ROW]
[ROW][C]167[/C][C]797[/C][C]792.237279455963[/C][C]4.76272054403739[/C][/ROW]
[ROW][C]168[/C][C]843[/C][C]840.408730985549[/C][C]2.5912690144512[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284820&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284820&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
13600592.3800747863257.6199252136754
14566563.327502093692.67249790631024
15653652.0728527481140.92714725188614
16673672.9484141973070.0515858026928981
17742742.345424886799-0.345424886799378
18716716.218764204084-0.218764204084437
19660654.4710811944165.52891880558354
20617617.893781754763-0.893781754763495
21583586.805788907734-3.80578890773438
22587593.210462216747-6.21046221674726
23565564.8741887789710.125811221028698
24598593.8223652748924.17763472510785
25628616.33491356048211.6650864395176
26618588.78544685090429.2145531490959
27688695.37358874616-7.37358874616018
28705710.299732530236-5.2997325302365
29770775.904775395322-5.90477539532219
30736745.978794246414-9.97879424641417
31678678.996481793595-0.996481793595422
32639636.2524061413472.74759385865286
33604606.917981271819-2.91798127181858
34611613.309911262307-2.30991126230697
35594589.3085726491694.69142735083051
36634622.45663170816211.5433682918376
37658651.9918459828366.00815401716432
38622625.102249384052-3.10224938405167
39709699.9078264523199.09217354768134
40722726.72310313257-4.72310313257026
41782792.568443388069-10.5684433880685
42756758.369223220909-2.36922322090868
43702698.9660270532843.03397294671618
44653659.97297807334-6.97297807334041
45615622.465951283283-7.46595128328261
46621625.88080617603-4.88080617603021
47602601.92622509080.0737749091998694
48635633.6713367282491.32866327175134
49677654.72719616667422.2728038333258
50635636.682421437307-1.68242143730686
51736715.63484775512420.3651522448762
52755746.6317084924228.36829150757842
53811819.982716277641-8.98271627764132
54798789.0067482643558.99325173564466
55735738.839800771893-3.83980077189324
56697692.508640864044.49135913596001
57661662.77625068694-1.77625068694033
58667670.784809236728-3.78480923672828
59645648.872935200093-3.8729352000928
60688678.2234820613649.77651793863618
61713710.544002816522.45599718348046
62667672.615325451483-5.61532545148316
63762754.5846575697687.41534243023216
64784773.53803363271910.4619663672811
65837843.824470790686-6.82447079068606
66817819.006414676184-2.00641467618357
67767757.9230316459639.07696835403726
68722722.660228935738-0.660228935738246
69681687.748365391362-6.74836539136163
70687691.807671330622-4.80767133062204
71660669.167812598728-9.16781259872778
72698698.414578807471-0.414578807471457
73717721.808194793923-4.80819479392346
74696676.77515704434819.2248429556519
75775779.252938325415-4.25293832541524
76796790.9545335491575.04546645084304
77858853.0161869144924.9838130855079
78826837.589669151475-11.5896691514752
79783772.77973182848510.220268171515
80740735.7753095625724.22469043742763
81701702.649065468035-1.64906546803456
82706710.727665362859-4.7276653628586
83677687.010189511424-10.0101895114236
84711717.950376078711-6.95037607871109
85734735.697206650879-1.69720665087914
86690699.052465668492-9.05246566849235
87785775.9383068933099.06169310669065
88805799.2338085987225.76619140127764
89871861.7762616968059.2237383031952
90845844.9666496913380.0333503086619658
91801793.8350445615217.16495543847907
92764753.16684849335510.8331515066453
93725723.0700090293181.92999097068196
94723732.815937519644-9.81593751964385
95690704.218559779834-14.2185597798341
96734733.0527321240270.947267875972557
97750757.608422424689-7.6084224246888
98707714.978001931514-7.9780019315142
99807797.3105738516439.68942614835714
100824820.1826172065253.81738279347542
101886882.2799711073323.7200288926681
102859859.28881820429-0.288818204290351
103819809.7879284646739.21207153532703
104783771.48387070664311.5161292933575
105740739.5447812180650.455218781934832
106747745.2225049027071.77749509729347
107711723.4730236601-12.4730236600997
108751757.450538607965-6.45053860796463
109804774.68392499334229.316075006658
110756757.410650716817-1.41065071681726
111860848.86030443409511.1396955659048
112878871.2065011729236.79349882707731
113942935.3300884824796.66991151752086
114913913.330876951583-0.330876951583491
115869866.2693323965072.73066760349298
116834824.0960443244619.90395567553935
117790788.1720032366421.82799676335787
118800795.1395522206214.86044777937946
119763771.812948349511-8.81294834951063
120800809.878108616808-9.87810861680839
121826834.040958479783-8.0409584797834
122799783.0335369152715.9664630847296
123890889.7223446097470.277655390252903
124900903.451866534925-3.4518665349251
125961960.480908238060.519091761940444
126935932.4229426742242.57705732577597
127894888.1613157409745.83868425902551
128855849.9941018025995.00589819740071
129809808.5955432786560.40445672134399
130810815.369636240499-5.36963624049918
131766781.438771211862-15.4387712118621
132805814.659823758576-9.65982375857584
133821839.450436759762-18.4504367597616
134773787.50459395825-14.5045939582495
135883869.11282560713613.8871743928644
136898891.2548647447966.7451352552041
137957956.3446631625470.655336837453319
138924928.915276251119-4.91527625111905
139881880.3363320031990.66366799680145
140837838.385465809407-1.38546580940726
141784791.385690849146-7.38569084914582
142791791.289688279023-0.289688279022698
143760758.2446156637531.75538433624695
144802804.819489610651-2.81948961065075
145828832.041542873995-4.04154287399535
146778791.053315275121-13.0533152751211
147889881.0381573357567.96184266424359
148902897.2401810798484.75981892015182
149969959.3793076982279.62069230177258
150947936.68276010037610.317239899624
151908900.0534594311987.94654056880199
152867862.5905293302924.40947066970796
153815818.026515341823-3.02651534182269
154812822.778969391223-10.7789693912227
155773783.034632035448-10.0346320354475
156813820.293738860035-7.29373886003521
157834844.114067701019-10.1140677010193
158782796.598602133877-14.5986021338773
159892890.9779837864581.02201621354243
160903901.5642891539451.43571084605549
161966962.6748665786883.32513342131153
162937935.8195650130351.18043498696488
163896892.27608148073.72391851929956
164858850.9834382531377.01656174686343
165817806.28469615127710.7153038487231
166827818.4957054297968.50429457020368
167797792.2372794559634.76272054403739
168843840.4087309855492.5912690144512







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
169870.310368817287854.206205338534886.41453229604
170828.601748316119809.042144035434848.161352596805
171937.102631288693914.612363218177959.592899359208
172947.091908379705922.011115008077972.172701751333
1731007.70368052499980.2759530504641035.13140799952
174977.999070696715948.4099802631871007.58816113024
175934.302676665026902.699697201847965.905656128206
176891.29845566799857.802450694012924.794460641969
177842.72392285401807.436299138557878.011546569463
178846.974130206064809.981557630613883.966702781515
179813.881375546024775.259044388821852.503706703227
180858.205596432659818.019547830149898.391645035169

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
169 & 870.310368817287 & 854.206205338534 & 886.41453229604 \tabularnewline
170 & 828.601748316119 & 809.042144035434 & 848.161352596805 \tabularnewline
171 & 937.102631288693 & 914.612363218177 & 959.592899359208 \tabularnewline
172 & 947.091908379705 & 922.011115008077 & 972.172701751333 \tabularnewline
173 & 1007.70368052499 & 980.275953050464 & 1035.13140799952 \tabularnewline
174 & 977.999070696715 & 948.409980263187 & 1007.58816113024 \tabularnewline
175 & 934.302676665026 & 902.699697201847 & 965.905656128206 \tabularnewline
176 & 891.29845566799 & 857.802450694012 & 924.794460641969 \tabularnewline
177 & 842.72392285401 & 807.436299138557 & 878.011546569463 \tabularnewline
178 & 846.974130206064 & 809.981557630613 & 883.966702781515 \tabularnewline
179 & 813.881375546024 & 775.259044388821 & 852.503706703227 \tabularnewline
180 & 858.205596432659 & 818.019547830149 & 898.391645035169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284820&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]169[/C][C]870.310368817287[/C][C]854.206205338534[/C][C]886.41453229604[/C][/ROW]
[ROW][C]170[/C][C]828.601748316119[/C][C]809.042144035434[/C][C]848.161352596805[/C][/ROW]
[ROW][C]171[/C][C]937.102631288693[/C][C]914.612363218177[/C][C]959.592899359208[/C][/ROW]
[ROW][C]172[/C][C]947.091908379705[/C][C]922.011115008077[/C][C]972.172701751333[/C][/ROW]
[ROW][C]173[/C][C]1007.70368052499[/C][C]980.275953050464[/C][C]1035.13140799952[/C][/ROW]
[ROW][C]174[/C][C]977.999070696715[/C][C]948.409980263187[/C][C]1007.58816113024[/C][/ROW]
[ROW][C]175[/C][C]934.302676665026[/C][C]902.699697201847[/C][C]965.905656128206[/C][/ROW]
[ROW][C]176[/C][C]891.29845566799[/C][C]857.802450694012[/C][C]924.794460641969[/C][/ROW]
[ROW][C]177[/C][C]842.72392285401[/C][C]807.436299138557[/C][C]878.011546569463[/C][/ROW]
[ROW][C]178[/C][C]846.974130206064[/C][C]809.981557630613[/C][C]883.966702781515[/C][/ROW]
[ROW][C]179[/C][C]813.881375546024[/C][C]775.259044388821[/C][C]852.503706703227[/C][/ROW]
[ROW][C]180[/C][C]858.205596432659[/C][C]818.019547830149[/C][C]898.391645035169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284820&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284820&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
169870.310368817287854.206205338534886.41453229604
170828.601748316119809.042144035434848.161352596805
171937.102631288693914.612363218177959.592899359208
172947.091908379705922.011115008077972.172701751333
1731007.70368052499980.2759530504641035.13140799952
174977.999070696715948.4099802631871007.58816113024
175934.302676665026902.699697201847965.905656128206
176891.29845566799857.802450694012924.794460641969
177842.72392285401807.436299138557878.011546569463
178846.974130206064809.981557630613883.966702781515
179813.881375546024775.259044388821852.503706703227
180858.205596432659818.019547830149898.391645035169



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=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')