Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 29 May 2010 13:30:09 +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/2010/May/29/t1275139928htg26hdca04i4f3.htm/, Retrieved Sun, 28 Apr 2024 07:41:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76667, Retrieved Sun, 28 Apr 2024 07:41:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact194
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [frederic.ledent@s...] [2010-01-25 19:19:03] [ef87393097b01fda8ad7ae01bd2302b6]
- R  D  [Exponential Smoothing] [Inschrijvingen ni...] [2010-05-28 09:45:39] [f0a5dc1b5eb71665e53a640391152a45]
-    D      [Exponential Smoothing] [Maandelijkse melk...] [2010-05-29 13:30:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76667&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76667&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76667&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.543073214984479
beta0
gamma0.942604207416955

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.543073214984479 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.942604207416955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76667&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]0.543073214984479[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.942604207416955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76667&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76667&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
alpha0.543073214984479
beta0
gamma0.942604207416955







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13600592.9080702004677.09192979953343
14566562.6751091998433.32489080015671
15653651.150879572161.84912042784015
16673672.3851876111590.614812388841187
17742742.118596249891-0.118596249891425
18716716.179878460986-0.179878460985719
19660655.0350589168184.96494108318177
20617616.1720223321510.827977667849382
21583585.175810628719-2.17581062871932
22587593.241738957405-6.24173895740535
23565565.242426375484-0.242426375484001
24598594.5878385673483.41216143265228
25628617.66089416763610.3391058323645
26618586.1220536531731.8779463468305
27688695.083053932834-7.08305393283376
28705712.00928700475-7.00928700475049
29770780.822628390711-10.8226283907111
30736747.829951993133-11.8299519931327
31678680.4307426735-2.43074267349982
32639634.4692472227634.53075277723656
33604603.091534335940.908465664059918
34611611.287395187533-0.287395187532752
35594588.1600010455395.83999895446141
36634623.76870125759910.231298742401
37658654.6924451845533.30755481544702
38622626.86819115501-4.86819115500964
39709699.9169268393319.08307316066873
40722726.108374499949-4.10837449994870
41782796.660131966902-14.660131966902
42756760.41120544434-4.41120544433943
43702699.3697433214132.63025667858676
44653657.709257002431-4.70925700243072
45615618.821664359513-3.82166435951342
46621624.06050307681-3.06050307681016
47602601.6520468788220.347953121177738
48635636.575918895763-1.57591889576349
49677658.16782238842318.8321776115770
50635634.6973772006390.302622799361302
51736718.18007726675817.8199227332416
52755743.81205118111311.1879488188871
53811820.627879480584-9.62787948058406
54798790.4515926077667.54840739223368
55735736.040719264392-1.04071926439156
56697686.94757472814310.0524252718571
57661654.2204402859986.77955971400172
58667665.989966453361.01003354664010
59645645.765238012644-0.765238012643636
60688681.6101286462816.38987135371906
61713718.54573242353-5.54573242353035
62667671.382809275995-4.38280927599465
63762764.55251513966-2.55251513965936
64784776.6643879354167.3356120645841
65837844.467654597554-7.46765459755409
66817822.162171354625-5.16217135462534
67767755.43192665104311.5680733489567
68722716.2948853265165.7051146734841
69681678.45446622172.54553377830007
70687685.5664168324141.43358316758554
71660664.148090676016-4.14809067601630
72698702.220824469723-4.22082446972263
73717728.719095313762-11.7190953137621
74696678.11871989863817.8812801013617
75775787.115225888424-12.115225888424
76796798.673109592635-2.67310959263477
77858855.6071454877722.39285451222838
78826839.201553386458-13.2015533864578
79783774.210737432588.78926256742068
80740730.2401827376519.75981726234852
81701692.4140746782588.58592532174225
82706702.4231288481353.57687115186491
83677679.106348228755-2.10634822875500
84711719.307570259149-8.30757025914886
85734740.89241068307-6.89241068307058
86690704.646437861595-14.6464378615949
87785783.1563893442741.84361065572625
88805806.597028246051-1.59702824605085
89871867.0127916030723.98720839692839
90845844.3681278247550.63187217524478
91801795.2331445930945.76685540690562
92764749.02037255430314.9796274456974
93725712.44322518942812.5567748105716
94723722.4997457116620.500254288338169
95690694.373597821263-4.37359782126293
96734731.4766014922162.52339850778390
97750760.311698581786-10.3116985817862
98707717.75969675123-10.7596967512300
99807808.358064246905-1.35806424690509
100824829.142850633479-5.14285063347859
101886891.680234931396-5.6802349313956
102859861.777433184102-2.77743318410239
103819812.1131805571596.88681944284099
104783769.5319604970413.4680395029595
105740730.224234102099.77576589790942
106747733.53049032399213.4695096760082
107711709.5604075167631.43959248323665
108751753.997723643214-2.99772364321382
109804774.79248954526829.2075104547318
110756751.4066489233724.59335107662798
111860860.92687768821-0.926877688210311
112878881.53297202236-3.53297202236070
113942948.987056508297-6.98705650829743
114913917.823590153726-4.82359015372572
115869868.2329264428880.767073557111758
116834822.38039095415611.6196090458437
117790777.53936453738812.4606354626115
118800783.73687732732316.2631226726775
119763753.789075579489.2109244205193
120800803.260033992059-3.26003399205877
121826839.865356207762-13.8653562077620
122799780.63092110665818.3690788933424
123890900.000836757672-10.0008367576717
124900915.30106789176-15.30106789176
125961977.049767831213-16.0497678312128
126935941.116867018099-6.11686701809879
127894891.9910576257852.00894237421505
128855850.2585258094654.74147419053497
129809800.8033639321538.19663606784673
130810806.240577092713.75942290729017
131766765.970603073730.0293969262697829
132805805.241335560175-0.241335560175344
133821839.068420765764-18.0684207657645
134773791.198102094539-18.1981020945386
135883876.4000246480746.59997535192565
136898898.175914936503-0.175914936502636
137957967.578166740362-10.5781667403616
138924938.875067244273-14.8750672442733
139881888.695391228737-7.69539122873698
140837843.316507441881-6.3165074418813
141784790.232524074934-6.23252407493419
142791785.9765065091125.02349349088797
143760745.9658542356114.0341457643897
144802792.1108501136799.8891498863212
145828823.436074474434.56392552557088
146778787.488837287769-9.48883728776889
147889889.285364221146-0.285364221145642
148902904.502971731331-2.50297173133129
149969968.4975871796440.502412820355744
150947943.5902619655793.40973803442125
151908905.4976532095362.50234679046389
152867865.0196493539611.98035064603869
153815814.7092635002610.290736499738955
154812818.94420448093-6.9442044809307
155773775.022497769282-2.02249776928250
156813811.3015896300451.69841036995535
157834836.172248665732-2.17224866573179
158782790.094904179485-8.0949041794845
159892897.661302294342-5.66130229434202
160903909.08458954487-6.08458954486991
161966972.696941830527-6.69694183052695
162937945.12723725248-8.12723725248054
163896900.649624293677-4.64962429367711
164858856.5301003805421.46989961945769
165817805.80644675437511.1935532456254
166827812.83348452655314.1665154734470
167797782.09239679172214.9076032082784
168843830.00476698447512.9952330155248

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 600 & 592.908070200467 & 7.09192979953343 \tabularnewline
14 & 566 & 562.675109199843 & 3.32489080015671 \tabularnewline
15 & 653 & 651.15087957216 & 1.84912042784015 \tabularnewline
16 & 673 & 672.385187611159 & 0.614812388841187 \tabularnewline
17 & 742 & 742.118596249891 & -0.118596249891425 \tabularnewline
18 & 716 & 716.179878460986 & -0.179878460985719 \tabularnewline
19 & 660 & 655.035058916818 & 4.96494108318177 \tabularnewline
20 & 617 & 616.172022332151 & 0.827977667849382 \tabularnewline
21 & 583 & 585.175810628719 & -2.17581062871932 \tabularnewline
22 & 587 & 593.241738957405 & -6.24173895740535 \tabularnewline
23 & 565 & 565.242426375484 & -0.242426375484001 \tabularnewline
24 & 598 & 594.587838567348 & 3.41216143265228 \tabularnewline
25 & 628 & 617.660894167636 & 10.3391058323645 \tabularnewline
26 & 618 & 586.12205365317 & 31.8779463468305 \tabularnewline
27 & 688 & 695.083053932834 & -7.08305393283376 \tabularnewline
28 & 705 & 712.00928700475 & -7.00928700475049 \tabularnewline
29 & 770 & 780.822628390711 & -10.8226283907111 \tabularnewline
30 & 736 & 747.829951993133 & -11.8299519931327 \tabularnewline
31 & 678 & 680.4307426735 & -2.43074267349982 \tabularnewline
32 & 639 & 634.469247222763 & 4.53075277723656 \tabularnewline
33 & 604 & 603.09153433594 & 0.908465664059918 \tabularnewline
34 & 611 & 611.287395187533 & -0.287395187532752 \tabularnewline
35 & 594 & 588.160001045539 & 5.83999895446141 \tabularnewline
36 & 634 & 623.768701257599 & 10.231298742401 \tabularnewline
37 & 658 & 654.692445184553 & 3.30755481544702 \tabularnewline
38 & 622 & 626.86819115501 & -4.86819115500964 \tabularnewline
39 & 709 & 699.916926839331 & 9.08307316066873 \tabularnewline
40 & 722 & 726.108374499949 & -4.10837449994870 \tabularnewline
41 & 782 & 796.660131966902 & -14.660131966902 \tabularnewline
42 & 756 & 760.41120544434 & -4.41120544433943 \tabularnewline
43 & 702 & 699.369743321413 & 2.63025667858676 \tabularnewline
44 & 653 & 657.709257002431 & -4.70925700243072 \tabularnewline
45 & 615 & 618.821664359513 & -3.82166435951342 \tabularnewline
46 & 621 & 624.06050307681 & -3.06050307681016 \tabularnewline
47 & 602 & 601.652046878822 & 0.347953121177738 \tabularnewline
48 & 635 & 636.575918895763 & -1.57591889576349 \tabularnewline
49 & 677 & 658.167822388423 & 18.8321776115770 \tabularnewline
50 & 635 & 634.697377200639 & 0.302622799361302 \tabularnewline
51 & 736 & 718.180077266758 & 17.8199227332416 \tabularnewline
52 & 755 & 743.812051181113 & 11.1879488188871 \tabularnewline
53 & 811 & 820.627879480584 & -9.62787948058406 \tabularnewline
54 & 798 & 790.451592607766 & 7.54840739223368 \tabularnewline
55 & 735 & 736.040719264392 & -1.04071926439156 \tabularnewline
56 & 697 & 686.947574728143 & 10.0524252718571 \tabularnewline
57 & 661 & 654.220440285998 & 6.77955971400172 \tabularnewline
58 & 667 & 665.98996645336 & 1.01003354664010 \tabularnewline
59 & 645 & 645.765238012644 & -0.765238012643636 \tabularnewline
60 & 688 & 681.610128646281 & 6.38987135371906 \tabularnewline
61 & 713 & 718.54573242353 & -5.54573242353035 \tabularnewline
62 & 667 & 671.382809275995 & -4.38280927599465 \tabularnewline
63 & 762 & 764.55251513966 & -2.55251513965936 \tabularnewline
64 & 784 & 776.664387935416 & 7.3356120645841 \tabularnewline
65 & 837 & 844.467654597554 & -7.46765459755409 \tabularnewline
66 & 817 & 822.162171354625 & -5.16217135462534 \tabularnewline
67 & 767 & 755.431926651043 & 11.5680733489567 \tabularnewline
68 & 722 & 716.294885326516 & 5.7051146734841 \tabularnewline
69 & 681 & 678.4544662217 & 2.54553377830007 \tabularnewline
70 & 687 & 685.566416832414 & 1.43358316758554 \tabularnewline
71 & 660 & 664.148090676016 & -4.14809067601630 \tabularnewline
72 & 698 & 702.220824469723 & -4.22082446972263 \tabularnewline
73 & 717 & 728.719095313762 & -11.7190953137621 \tabularnewline
74 & 696 & 678.118719898638 & 17.8812801013617 \tabularnewline
75 & 775 & 787.115225888424 & -12.115225888424 \tabularnewline
76 & 796 & 798.673109592635 & -2.67310959263477 \tabularnewline
77 & 858 & 855.607145487772 & 2.39285451222838 \tabularnewline
78 & 826 & 839.201553386458 & -13.2015533864578 \tabularnewline
79 & 783 & 774.21073743258 & 8.78926256742068 \tabularnewline
80 & 740 & 730.240182737651 & 9.75981726234852 \tabularnewline
81 & 701 & 692.414074678258 & 8.58592532174225 \tabularnewline
82 & 706 & 702.423128848135 & 3.57687115186491 \tabularnewline
83 & 677 & 679.106348228755 & -2.10634822875500 \tabularnewline
84 & 711 & 719.307570259149 & -8.30757025914886 \tabularnewline
85 & 734 & 740.89241068307 & -6.89241068307058 \tabularnewline
86 & 690 & 704.646437861595 & -14.6464378615949 \tabularnewline
87 & 785 & 783.156389344274 & 1.84361065572625 \tabularnewline
88 & 805 & 806.597028246051 & -1.59702824605085 \tabularnewline
89 & 871 & 867.012791603072 & 3.98720839692839 \tabularnewline
90 & 845 & 844.368127824755 & 0.63187217524478 \tabularnewline
91 & 801 & 795.233144593094 & 5.76685540690562 \tabularnewline
92 & 764 & 749.020372554303 & 14.9796274456974 \tabularnewline
93 & 725 & 712.443225189428 & 12.5567748105716 \tabularnewline
94 & 723 & 722.499745711662 & 0.500254288338169 \tabularnewline
95 & 690 & 694.373597821263 & -4.37359782126293 \tabularnewline
96 & 734 & 731.476601492216 & 2.52339850778390 \tabularnewline
97 & 750 & 760.311698581786 & -10.3116985817862 \tabularnewline
98 & 707 & 717.75969675123 & -10.7596967512300 \tabularnewline
99 & 807 & 808.358064246905 & -1.35806424690509 \tabularnewline
100 & 824 & 829.142850633479 & -5.14285063347859 \tabularnewline
101 & 886 & 891.680234931396 & -5.6802349313956 \tabularnewline
102 & 859 & 861.777433184102 & -2.77743318410239 \tabularnewline
103 & 819 & 812.113180557159 & 6.88681944284099 \tabularnewline
104 & 783 & 769.53196049704 & 13.4680395029595 \tabularnewline
105 & 740 & 730.22423410209 & 9.77576589790942 \tabularnewline
106 & 747 & 733.530490323992 & 13.4695096760082 \tabularnewline
107 & 711 & 709.560407516763 & 1.43959248323665 \tabularnewline
108 & 751 & 753.997723643214 & -2.99772364321382 \tabularnewline
109 & 804 & 774.792489545268 & 29.2075104547318 \tabularnewline
110 & 756 & 751.406648923372 & 4.59335107662798 \tabularnewline
111 & 860 & 860.92687768821 & -0.926877688210311 \tabularnewline
112 & 878 & 881.53297202236 & -3.53297202236070 \tabularnewline
113 & 942 & 948.987056508297 & -6.98705650829743 \tabularnewline
114 & 913 & 917.823590153726 & -4.82359015372572 \tabularnewline
115 & 869 & 868.232926442888 & 0.767073557111758 \tabularnewline
116 & 834 & 822.380390954156 & 11.6196090458437 \tabularnewline
117 & 790 & 777.539364537388 & 12.4606354626115 \tabularnewline
118 & 800 & 783.736877327323 & 16.2631226726775 \tabularnewline
119 & 763 & 753.78907557948 & 9.2109244205193 \tabularnewline
120 & 800 & 803.260033992059 & -3.26003399205877 \tabularnewline
121 & 826 & 839.865356207762 & -13.8653562077620 \tabularnewline
122 & 799 & 780.630921106658 & 18.3690788933424 \tabularnewline
123 & 890 & 900.000836757672 & -10.0008367576717 \tabularnewline
124 & 900 & 915.30106789176 & -15.30106789176 \tabularnewline
125 & 961 & 977.049767831213 & -16.0497678312128 \tabularnewline
126 & 935 & 941.116867018099 & -6.11686701809879 \tabularnewline
127 & 894 & 891.991057625785 & 2.00894237421505 \tabularnewline
128 & 855 & 850.258525809465 & 4.74147419053497 \tabularnewline
129 & 809 & 800.803363932153 & 8.19663606784673 \tabularnewline
130 & 810 & 806.24057709271 & 3.75942290729017 \tabularnewline
131 & 766 & 765.97060307373 & 0.0293969262697829 \tabularnewline
132 & 805 & 805.241335560175 & -0.241335560175344 \tabularnewline
133 & 821 & 839.068420765764 & -18.0684207657645 \tabularnewline
134 & 773 & 791.198102094539 & -18.1981020945386 \tabularnewline
135 & 883 & 876.400024648074 & 6.59997535192565 \tabularnewline
136 & 898 & 898.175914936503 & -0.175914936502636 \tabularnewline
137 & 957 & 967.578166740362 & -10.5781667403616 \tabularnewline
138 & 924 & 938.875067244273 & -14.8750672442733 \tabularnewline
139 & 881 & 888.695391228737 & -7.69539122873698 \tabularnewline
140 & 837 & 843.316507441881 & -6.3165074418813 \tabularnewline
141 & 784 & 790.232524074934 & -6.23252407493419 \tabularnewline
142 & 791 & 785.976506509112 & 5.02349349088797 \tabularnewline
143 & 760 & 745.96585423561 & 14.0341457643897 \tabularnewline
144 & 802 & 792.110850113679 & 9.8891498863212 \tabularnewline
145 & 828 & 823.43607447443 & 4.56392552557088 \tabularnewline
146 & 778 & 787.488837287769 & -9.48883728776889 \tabularnewline
147 & 889 & 889.285364221146 & -0.285364221145642 \tabularnewline
148 & 902 & 904.502971731331 & -2.50297173133129 \tabularnewline
149 & 969 & 968.497587179644 & 0.502412820355744 \tabularnewline
150 & 947 & 943.590261965579 & 3.40973803442125 \tabularnewline
151 & 908 & 905.497653209536 & 2.50234679046389 \tabularnewline
152 & 867 & 865.019649353961 & 1.98035064603869 \tabularnewline
153 & 815 & 814.709263500261 & 0.290736499738955 \tabularnewline
154 & 812 & 818.94420448093 & -6.9442044809307 \tabularnewline
155 & 773 & 775.022497769282 & -2.02249776928250 \tabularnewline
156 & 813 & 811.301589630045 & 1.69841036995535 \tabularnewline
157 & 834 & 836.172248665732 & -2.17224866573179 \tabularnewline
158 & 782 & 790.094904179485 & -8.0949041794845 \tabularnewline
159 & 892 & 897.661302294342 & -5.66130229434202 \tabularnewline
160 & 903 & 909.08458954487 & -6.08458954486991 \tabularnewline
161 & 966 & 972.696941830527 & -6.69694183052695 \tabularnewline
162 & 937 & 945.12723725248 & -8.12723725248054 \tabularnewline
163 & 896 & 900.649624293677 & -4.64962429367711 \tabularnewline
164 & 858 & 856.530100380542 & 1.46989961945769 \tabularnewline
165 & 817 & 805.806446754375 & 11.1935532456254 \tabularnewline
166 & 827 & 812.833484526553 & 14.1665154734470 \tabularnewline
167 & 797 & 782.092396791722 & 14.9076032082784 \tabularnewline
168 & 843 & 830.004766984475 & 12.9952330155248 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76667&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]592.908070200467[/C][C]7.09192979953343[/C][/ROW]
[ROW][C]14[/C][C]566[/C][C]562.675109199843[/C][C]3.32489080015671[/C][/ROW]
[ROW][C]15[/C][C]653[/C][C]651.15087957216[/C][C]1.84912042784015[/C][/ROW]
[ROW][C]16[/C][C]673[/C][C]672.385187611159[/C][C]0.614812388841187[/C][/ROW]
[ROW][C]17[/C][C]742[/C][C]742.118596249891[/C][C]-0.118596249891425[/C][/ROW]
[ROW][C]18[/C][C]716[/C][C]716.179878460986[/C][C]-0.179878460985719[/C][/ROW]
[ROW][C]19[/C][C]660[/C][C]655.035058916818[/C][C]4.96494108318177[/C][/ROW]
[ROW][C]20[/C][C]617[/C][C]616.172022332151[/C][C]0.827977667849382[/C][/ROW]
[ROW][C]21[/C][C]583[/C][C]585.175810628719[/C][C]-2.17581062871932[/C][/ROW]
[ROW][C]22[/C][C]587[/C][C]593.241738957405[/C][C]-6.24173895740535[/C][/ROW]
[ROW][C]23[/C][C]565[/C][C]565.242426375484[/C][C]-0.242426375484001[/C][/ROW]
[ROW][C]24[/C][C]598[/C][C]594.587838567348[/C][C]3.41216143265228[/C][/ROW]
[ROW][C]25[/C][C]628[/C][C]617.660894167636[/C][C]10.3391058323645[/C][/ROW]
[ROW][C]26[/C][C]618[/C][C]586.12205365317[/C][C]31.8779463468305[/C][/ROW]
[ROW][C]27[/C][C]688[/C][C]695.083053932834[/C][C]-7.08305393283376[/C][/ROW]
[ROW][C]28[/C][C]705[/C][C]712.00928700475[/C][C]-7.00928700475049[/C][/ROW]
[ROW][C]29[/C][C]770[/C][C]780.822628390711[/C][C]-10.8226283907111[/C][/ROW]
[ROW][C]30[/C][C]736[/C][C]747.829951993133[/C][C]-11.8299519931327[/C][/ROW]
[ROW][C]31[/C][C]678[/C][C]680.4307426735[/C][C]-2.43074267349982[/C][/ROW]
[ROW][C]32[/C][C]639[/C][C]634.469247222763[/C][C]4.53075277723656[/C][/ROW]
[ROW][C]33[/C][C]604[/C][C]603.09153433594[/C][C]0.908465664059918[/C][/ROW]
[ROW][C]34[/C][C]611[/C][C]611.287395187533[/C][C]-0.287395187532752[/C][/ROW]
[ROW][C]35[/C][C]594[/C][C]588.160001045539[/C][C]5.83999895446141[/C][/ROW]
[ROW][C]36[/C][C]634[/C][C]623.768701257599[/C][C]10.231298742401[/C][/ROW]
[ROW][C]37[/C][C]658[/C][C]654.692445184553[/C][C]3.30755481544702[/C][/ROW]
[ROW][C]38[/C][C]622[/C][C]626.86819115501[/C][C]-4.86819115500964[/C][/ROW]
[ROW][C]39[/C][C]709[/C][C]699.916926839331[/C][C]9.08307316066873[/C][/ROW]
[ROW][C]40[/C][C]722[/C][C]726.108374499949[/C][C]-4.10837449994870[/C][/ROW]
[ROW][C]41[/C][C]782[/C][C]796.660131966902[/C][C]-14.660131966902[/C][/ROW]
[ROW][C]42[/C][C]756[/C][C]760.41120544434[/C][C]-4.41120544433943[/C][/ROW]
[ROW][C]43[/C][C]702[/C][C]699.369743321413[/C][C]2.63025667858676[/C][/ROW]
[ROW][C]44[/C][C]653[/C][C]657.709257002431[/C][C]-4.70925700243072[/C][/ROW]
[ROW][C]45[/C][C]615[/C][C]618.821664359513[/C][C]-3.82166435951342[/C][/ROW]
[ROW][C]46[/C][C]621[/C][C]624.06050307681[/C][C]-3.06050307681016[/C][/ROW]
[ROW][C]47[/C][C]602[/C][C]601.652046878822[/C][C]0.347953121177738[/C][/ROW]
[ROW][C]48[/C][C]635[/C][C]636.575918895763[/C][C]-1.57591889576349[/C][/ROW]
[ROW][C]49[/C][C]677[/C][C]658.167822388423[/C][C]18.8321776115770[/C][/ROW]
[ROW][C]50[/C][C]635[/C][C]634.697377200639[/C][C]0.302622799361302[/C][/ROW]
[ROW][C]51[/C][C]736[/C][C]718.180077266758[/C][C]17.8199227332416[/C][/ROW]
[ROW][C]52[/C][C]755[/C][C]743.812051181113[/C][C]11.1879488188871[/C][/ROW]
[ROW][C]53[/C][C]811[/C][C]820.627879480584[/C][C]-9.62787948058406[/C][/ROW]
[ROW][C]54[/C][C]798[/C][C]790.451592607766[/C][C]7.54840739223368[/C][/ROW]
[ROW][C]55[/C][C]735[/C][C]736.040719264392[/C][C]-1.04071926439156[/C][/ROW]
[ROW][C]56[/C][C]697[/C][C]686.947574728143[/C][C]10.0524252718571[/C][/ROW]
[ROW][C]57[/C][C]661[/C][C]654.220440285998[/C][C]6.77955971400172[/C][/ROW]
[ROW][C]58[/C][C]667[/C][C]665.98996645336[/C][C]1.01003354664010[/C][/ROW]
[ROW][C]59[/C][C]645[/C][C]645.765238012644[/C][C]-0.765238012643636[/C][/ROW]
[ROW][C]60[/C][C]688[/C][C]681.610128646281[/C][C]6.38987135371906[/C][/ROW]
[ROW][C]61[/C][C]713[/C][C]718.54573242353[/C][C]-5.54573242353035[/C][/ROW]
[ROW][C]62[/C][C]667[/C][C]671.382809275995[/C][C]-4.38280927599465[/C][/ROW]
[ROW][C]63[/C][C]762[/C][C]764.55251513966[/C][C]-2.55251513965936[/C][/ROW]
[ROW][C]64[/C][C]784[/C][C]776.664387935416[/C][C]7.3356120645841[/C][/ROW]
[ROW][C]65[/C][C]837[/C][C]844.467654597554[/C][C]-7.46765459755409[/C][/ROW]
[ROW][C]66[/C][C]817[/C][C]822.162171354625[/C][C]-5.16217135462534[/C][/ROW]
[ROW][C]67[/C][C]767[/C][C]755.431926651043[/C][C]11.5680733489567[/C][/ROW]
[ROW][C]68[/C][C]722[/C][C]716.294885326516[/C][C]5.7051146734841[/C][/ROW]
[ROW][C]69[/C][C]681[/C][C]678.4544662217[/C][C]2.54553377830007[/C][/ROW]
[ROW][C]70[/C][C]687[/C][C]685.566416832414[/C][C]1.43358316758554[/C][/ROW]
[ROW][C]71[/C][C]660[/C][C]664.148090676016[/C][C]-4.14809067601630[/C][/ROW]
[ROW][C]72[/C][C]698[/C][C]702.220824469723[/C][C]-4.22082446972263[/C][/ROW]
[ROW][C]73[/C][C]717[/C][C]728.719095313762[/C][C]-11.7190953137621[/C][/ROW]
[ROW][C]74[/C][C]696[/C][C]678.118719898638[/C][C]17.8812801013617[/C][/ROW]
[ROW][C]75[/C][C]775[/C][C]787.115225888424[/C][C]-12.115225888424[/C][/ROW]
[ROW][C]76[/C][C]796[/C][C]798.673109592635[/C][C]-2.67310959263477[/C][/ROW]
[ROW][C]77[/C][C]858[/C][C]855.607145487772[/C][C]2.39285451222838[/C][/ROW]
[ROW][C]78[/C][C]826[/C][C]839.201553386458[/C][C]-13.2015533864578[/C][/ROW]
[ROW][C]79[/C][C]783[/C][C]774.21073743258[/C][C]8.78926256742068[/C][/ROW]
[ROW][C]80[/C][C]740[/C][C]730.240182737651[/C][C]9.75981726234852[/C][/ROW]
[ROW][C]81[/C][C]701[/C][C]692.414074678258[/C][C]8.58592532174225[/C][/ROW]
[ROW][C]82[/C][C]706[/C][C]702.423128848135[/C][C]3.57687115186491[/C][/ROW]
[ROW][C]83[/C][C]677[/C][C]679.106348228755[/C][C]-2.10634822875500[/C][/ROW]
[ROW][C]84[/C][C]711[/C][C]719.307570259149[/C][C]-8.30757025914886[/C][/ROW]
[ROW][C]85[/C][C]734[/C][C]740.89241068307[/C][C]-6.89241068307058[/C][/ROW]
[ROW][C]86[/C][C]690[/C][C]704.646437861595[/C][C]-14.6464378615949[/C][/ROW]
[ROW][C]87[/C][C]785[/C][C]783.156389344274[/C][C]1.84361065572625[/C][/ROW]
[ROW][C]88[/C][C]805[/C][C]806.597028246051[/C][C]-1.59702824605085[/C][/ROW]
[ROW][C]89[/C][C]871[/C][C]867.012791603072[/C][C]3.98720839692839[/C][/ROW]
[ROW][C]90[/C][C]845[/C][C]844.368127824755[/C][C]0.63187217524478[/C][/ROW]
[ROW][C]91[/C][C]801[/C][C]795.233144593094[/C][C]5.76685540690562[/C][/ROW]
[ROW][C]92[/C][C]764[/C][C]749.020372554303[/C][C]14.9796274456974[/C][/ROW]
[ROW][C]93[/C][C]725[/C][C]712.443225189428[/C][C]12.5567748105716[/C][/ROW]
[ROW][C]94[/C][C]723[/C][C]722.499745711662[/C][C]0.500254288338169[/C][/ROW]
[ROW][C]95[/C][C]690[/C][C]694.373597821263[/C][C]-4.37359782126293[/C][/ROW]
[ROW][C]96[/C][C]734[/C][C]731.476601492216[/C][C]2.52339850778390[/C][/ROW]
[ROW][C]97[/C][C]750[/C][C]760.311698581786[/C][C]-10.3116985817862[/C][/ROW]
[ROW][C]98[/C][C]707[/C][C]717.75969675123[/C][C]-10.7596967512300[/C][/ROW]
[ROW][C]99[/C][C]807[/C][C]808.358064246905[/C][C]-1.35806424690509[/C][/ROW]
[ROW][C]100[/C][C]824[/C][C]829.142850633479[/C][C]-5.14285063347859[/C][/ROW]
[ROW][C]101[/C][C]886[/C][C]891.680234931396[/C][C]-5.6802349313956[/C][/ROW]
[ROW][C]102[/C][C]859[/C][C]861.777433184102[/C][C]-2.77743318410239[/C][/ROW]
[ROW][C]103[/C][C]819[/C][C]812.113180557159[/C][C]6.88681944284099[/C][/ROW]
[ROW][C]104[/C][C]783[/C][C]769.53196049704[/C][C]13.4680395029595[/C][/ROW]
[ROW][C]105[/C][C]740[/C][C]730.22423410209[/C][C]9.77576589790942[/C][/ROW]
[ROW][C]106[/C][C]747[/C][C]733.530490323992[/C][C]13.4695096760082[/C][/ROW]
[ROW][C]107[/C][C]711[/C][C]709.560407516763[/C][C]1.43959248323665[/C][/ROW]
[ROW][C]108[/C][C]751[/C][C]753.997723643214[/C][C]-2.99772364321382[/C][/ROW]
[ROW][C]109[/C][C]804[/C][C]774.792489545268[/C][C]29.2075104547318[/C][/ROW]
[ROW][C]110[/C][C]756[/C][C]751.406648923372[/C][C]4.59335107662798[/C][/ROW]
[ROW][C]111[/C][C]860[/C][C]860.92687768821[/C][C]-0.926877688210311[/C][/ROW]
[ROW][C]112[/C][C]878[/C][C]881.53297202236[/C][C]-3.53297202236070[/C][/ROW]
[ROW][C]113[/C][C]942[/C][C]948.987056508297[/C][C]-6.98705650829743[/C][/ROW]
[ROW][C]114[/C][C]913[/C][C]917.823590153726[/C][C]-4.82359015372572[/C][/ROW]
[ROW][C]115[/C][C]869[/C][C]868.232926442888[/C][C]0.767073557111758[/C][/ROW]
[ROW][C]116[/C][C]834[/C][C]822.380390954156[/C][C]11.6196090458437[/C][/ROW]
[ROW][C]117[/C][C]790[/C][C]777.539364537388[/C][C]12.4606354626115[/C][/ROW]
[ROW][C]118[/C][C]800[/C][C]783.736877327323[/C][C]16.2631226726775[/C][/ROW]
[ROW][C]119[/C][C]763[/C][C]753.78907557948[/C][C]9.2109244205193[/C][/ROW]
[ROW][C]120[/C][C]800[/C][C]803.260033992059[/C][C]-3.26003399205877[/C][/ROW]
[ROW][C]121[/C][C]826[/C][C]839.865356207762[/C][C]-13.8653562077620[/C][/ROW]
[ROW][C]122[/C][C]799[/C][C]780.630921106658[/C][C]18.3690788933424[/C][/ROW]
[ROW][C]123[/C][C]890[/C][C]900.000836757672[/C][C]-10.0008367576717[/C][/ROW]
[ROW][C]124[/C][C]900[/C][C]915.30106789176[/C][C]-15.30106789176[/C][/ROW]
[ROW][C]125[/C][C]961[/C][C]977.049767831213[/C][C]-16.0497678312128[/C][/ROW]
[ROW][C]126[/C][C]935[/C][C]941.116867018099[/C][C]-6.11686701809879[/C][/ROW]
[ROW][C]127[/C][C]894[/C][C]891.991057625785[/C][C]2.00894237421505[/C][/ROW]
[ROW][C]128[/C][C]855[/C][C]850.258525809465[/C][C]4.74147419053497[/C][/ROW]
[ROW][C]129[/C][C]809[/C][C]800.803363932153[/C][C]8.19663606784673[/C][/ROW]
[ROW][C]130[/C][C]810[/C][C]806.24057709271[/C][C]3.75942290729017[/C][/ROW]
[ROW][C]131[/C][C]766[/C][C]765.97060307373[/C][C]0.0293969262697829[/C][/ROW]
[ROW][C]132[/C][C]805[/C][C]805.241335560175[/C][C]-0.241335560175344[/C][/ROW]
[ROW][C]133[/C][C]821[/C][C]839.068420765764[/C][C]-18.0684207657645[/C][/ROW]
[ROW][C]134[/C][C]773[/C][C]791.198102094539[/C][C]-18.1981020945386[/C][/ROW]
[ROW][C]135[/C][C]883[/C][C]876.400024648074[/C][C]6.59997535192565[/C][/ROW]
[ROW][C]136[/C][C]898[/C][C]898.175914936503[/C][C]-0.175914936502636[/C][/ROW]
[ROW][C]137[/C][C]957[/C][C]967.578166740362[/C][C]-10.5781667403616[/C][/ROW]
[ROW][C]138[/C][C]924[/C][C]938.875067244273[/C][C]-14.8750672442733[/C][/ROW]
[ROW][C]139[/C][C]881[/C][C]888.695391228737[/C][C]-7.69539122873698[/C][/ROW]
[ROW][C]140[/C][C]837[/C][C]843.316507441881[/C][C]-6.3165074418813[/C][/ROW]
[ROW][C]141[/C][C]784[/C][C]790.232524074934[/C][C]-6.23252407493419[/C][/ROW]
[ROW][C]142[/C][C]791[/C][C]785.976506509112[/C][C]5.02349349088797[/C][/ROW]
[ROW][C]143[/C][C]760[/C][C]745.96585423561[/C][C]14.0341457643897[/C][/ROW]
[ROW][C]144[/C][C]802[/C][C]792.110850113679[/C][C]9.8891498863212[/C][/ROW]
[ROW][C]145[/C][C]828[/C][C]823.43607447443[/C][C]4.56392552557088[/C][/ROW]
[ROW][C]146[/C][C]778[/C][C]787.488837287769[/C][C]-9.48883728776889[/C][/ROW]
[ROW][C]147[/C][C]889[/C][C]889.285364221146[/C][C]-0.285364221145642[/C][/ROW]
[ROW][C]148[/C][C]902[/C][C]904.502971731331[/C][C]-2.50297173133129[/C][/ROW]
[ROW][C]149[/C][C]969[/C][C]968.497587179644[/C][C]0.502412820355744[/C][/ROW]
[ROW][C]150[/C][C]947[/C][C]943.590261965579[/C][C]3.40973803442125[/C][/ROW]
[ROW][C]151[/C][C]908[/C][C]905.497653209536[/C][C]2.50234679046389[/C][/ROW]
[ROW][C]152[/C][C]867[/C][C]865.019649353961[/C][C]1.98035064603869[/C][/ROW]
[ROW][C]153[/C][C]815[/C][C]814.709263500261[/C][C]0.290736499738955[/C][/ROW]
[ROW][C]154[/C][C]812[/C][C]818.94420448093[/C][C]-6.9442044809307[/C][/ROW]
[ROW][C]155[/C][C]773[/C][C]775.022497769282[/C][C]-2.02249776928250[/C][/ROW]
[ROW][C]156[/C][C]813[/C][C]811.301589630045[/C][C]1.69841036995535[/C][/ROW]
[ROW][C]157[/C][C]834[/C][C]836.172248665732[/C][C]-2.17224866573179[/C][/ROW]
[ROW][C]158[/C][C]782[/C][C]790.094904179485[/C][C]-8.0949041794845[/C][/ROW]
[ROW][C]159[/C][C]892[/C][C]897.661302294342[/C][C]-5.66130229434202[/C][/ROW]
[ROW][C]160[/C][C]903[/C][C]909.08458954487[/C][C]-6.08458954486991[/C][/ROW]
[ROW][C]161[/C][C]966[/C][C]972.696941830527[/C][C]-6.69694183052695[/C][/ROW]
[ROW][C]162[/C][C]937[/C][C]945.12723725248[/C][C]-8.12723725248054[/C][/ROW]
[ROW][C]163[/C][C]896[/C][C]900.649624293677[/C][C]-4.64962429367711[/C][/ROW]
[ROW][C]164[/C][C]858[/C][C]856.530100380542[/C][C]1.46989961945769[/C][/ROW]
[ROW][C]165[/C][C]817[/C][C]805.806446754375[/C][C]11.1935532456254[/C][/ROW]
[ROW][C]166[/C][C]827[/C][C]812.833484526553[/C][C]14.1665154734470[/C][/ROW]
[ROW][C]167[/C][C]797[/C][C]782.092396791722[/C][C]14.9076032082784[/C][/ROW]
[ROW][C]168[/C][C]843[/C][C]830.004766984475[/C][C]12.9952330155248[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76667&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76667&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
13600592.9080702004677.09192979953343
14566562.6751091998433.32489080015671
15653651.150879572161.84912042784015
16673672.3851876111590.614812388841187
17742742.118596249891-0.118596249891425
18716716.179878460986-0.179878460985719
19660655.0350589168184.96494108318177
20617616.1720223321510.827977667849382
21583585.175810628719-2.17581062871932
22587593.241738957405-6.24173895740535
23565565.242426375484-0.242426375484001
24598594.5878385673483.41216143265228
25628617.66089416763610.3391058323645
26618586.1220536531731.8779463468305
27688695.083053932834-7.08305393283376
28705712.00928700475-7.00928700475049
29770780.822628390711-10.8226283907111
30736747.829951993133-11.8299519931327
31678680.4307426735-2.43074267349982
32639634.4692472227634.53075277723656
33604603.091534335940.908465664059918
34611611.287395187533-0.287395187532752
35594588.1600010455395.83999895446141
36634623.76870125759910.231298742401
37658654.6924451845533.30755481544702
38622626.86819115501-4.86819115500964
39709699.9169268393319.08307316066873
40722726.108374499949-4.10837449994870
41782796.660131966902-14.660131966902
42756760.41120544434-4.41120544433943
43702699.3697433214132.63025667858676
44653657.709257002431-4.70925700243072
45615618.821664359513-3.82166435951342
46621624.06050307681-3.06050307681016
47602601.6520468788220.347953121177738
48635636.575918895763-1.57591889576349
49677658.16782238842318.8321776115770
50635634.6973772006390.302622799361302
51736718.18007726675817.8199227332416
52755743.81205118111311.1879488188871
53811820.627879480584-9.62787948058406
54798790.4515926077667.54840739223368
55735736.040719264392-1.04071926439156
56697686.94757472814310.0524252718571
57661654.2204402859986.77955971400172
58667665.989966453361.01003354664010
59645645.765238012644-0.765238012643636
60688681.6101286462816.38987135371906
61713718.54573242353-5.54573242353035
62667671.382809275995-4.38280927599465
63762764.55251513966-2.55251513965936
64784776.6643879354167.3356120645841
65837844.467654597554-7.46765459755409
66817822.162171354625-5.16217135462534
67767755.43192665104311.5680733489567
68722716.2948853265165.7051146734841
69681678.45446622172.54553377830007
70687685.5664168324141.43358316758554
71660664.148090676016-4.14809067601630
72698702.220824469723-4.22082446972263
73717728.719095313762-11.7190953137621
74696678.11871989863817.8812801013617
75775787.115225888424-12.115225888424
76796798.673109592635-2.67310959263477
77858855.6071454877722.39285451222838
78826839.201553386458-13.2015533864578
79783774.210737432588.78926256742068
80740730.2401827376519.75981726234852
81701692.4140746782588.58592532174225
82706702.4231288481353.57687115186491
83677679.106348228755-2.10634822875500
84711719.307570259149-8.30757025914886
85734740.89241068307-6.89241068307058
86690704.646437861595-14.6464378615949
87785783.1563893442741.84361065572625
88805806.597028246051-1.59702824605085
89871867.0127916030723.98720839692839
90845844.3681278247550.63187217524478
91801795.2331445930945.76685540690562
92764749.02037255430314.9796274456974
93725712.44322518942812.5567748105716
94723722.4997457116620.500254288338169
95690694.373597821263-4.37359782126293
96734731.4766014922162.52339850778390
97750760.311698581786-10.3116985817862
98707717.75969675123-10.7596967512300
99807808.358064246905-1.35806424690509
100824829.142850633479-5.14285063347859
101886891.680234931396-5.6802349313956
102859861.777433184102-2.77743318410239
103819812.1131805571596.88681944284099
104783769.5319604970413.4680395029595
105740730.224234102099.77576589790942
106747733.53049032399213.4695096760082
107711709.5604075167631.43959248323665
108751753.997723643214-2.99772364321382
109804774.79248954526829.2075104547318
110756751.4066489233724.59335107662798
111860860.92687768821-0.926877688210311
112878881.53297202236-3.53297202236070
113942948.987056508297-6.98705650829743
114913917.823590153726-4.82359015372572
115869868.2329264428880.767073557111758
116834822.38039095415611.6196090458437
117790777.53936453738812.4606354626115
118800783.73687732732316.2631226726775
119763753.789075579489.2109244205193
120800803.260033992059-3.26003399205877
121826839.865356207762-13.8653562077620
122799780.63092110665818.3690788933424
123890900.000836757672-10.0008367576717
124900915.30106789176-15.30106789176
125961977.049767831213-16.0497678312128
126935941.116867018099-6.11686701809879
127894891.9910576257852.00894237421505
128855850.2585258094654.74147419053497
129809800.8033639321538.19663606784673
130810806.240577092713.75942290729017
131766765.970603073730.0293969262697829
132805805.241335560175-0.241335560175344
133821839.068420765764-18.0684207657645
134773791.198102094539-18.1981020945386
135883876.4000246480746.59997535192565
136898898.175914936503-0.175914936502636
137957967.578166740362-10.5781667403616
138924938.875067244273-14.8750672442733
139881888.695391228737-7.69539122873698
140837843.316507441881-6.3165074418813
141784790.232524074934-6.23252407493419
142791785.9765065091125.02349349088797
143760745.9658542356114.0341457643897
144802792.1108501136799.8891498863212
145828823.436074474434.56392552557088
146778787.488837287769-9.48883728776889
147889889.285364221146-0.285364221145642
148902904.502971731331-2.50297173133129
149969968.4975871796440.502412820355744
150947943.5902619655793.40973803442125
151908905.4976532095362.50234679046389
152867865.0196493539611.98035064603869
153815814.7092635002610.290736499738955
154812818.94420448093-6.9442044809307
155773775.022497769282-2.02249776928250
156813811.3015896300451.69841036995535
157834836.172248665732-2.17224866573179
158782790.094904179485-8.0949041794845
159892897.661302294342-5.66130229434202
160903909.08458954487-6.08458954486991
161966972.696941830527-6.69694183052695
162937945.12723725248-8.12723725248054
163896900.649624293677-4.64962429367711
164858856.5301003805421.46989961945769
165817805.80644675437511.1935532456254
166827812.83348452655314.1665154734470
167797782.09239679172214.9076032082784
168843830.00476698447512.9952330155248







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
169859.965927621504843.238841266743876.693013976266
170810.98708162045792.09352128844829.880641952461
171928.097269904348905.8662452846950.328294524096
172942.925120844953918.633977747132967.216263942775
1731012.43762506758985.2989487593011039.57630137586
174986.628582685448958.4383894228911014.81877594800
175945.95184357546917.115705019858974.787982131064
176904.754344682149875.386750698343934.121938665954
177854.73436119912825.140830834817884.327891563422
178856.950066463488825.895357093098888.004775833877
179817.325811868334786.025358698467848.6262650382
180857.252613110201825.341492581997889.163733638406

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
169 & 859.965927621504 & 843.238841266743 & 876.693013976266 \tabularnewline
170 & 810.98708162045 & 792.09352128844 & 829.880641952461 \tabularnewline
171 & 928.097269904348 & 905.8662452846 & 950.328294524096 \tabularnewline
172 & 942.925120844953 & 918.633977747132 & 967.216263942775 \tabularnewline
173 & 1012.43762506758 & 985.298948759301 & 1039.57630137586 \tabularnewline
174 & 986.628582685448 & 958.438389422891 & 1014.81877594800 \tabularnewline
175 & 945.95184357546 & 917.115705019858 & 974.787982131064 \tabularnewline
176 & 904.754344682149 & 875.386750698343 & 934.121938665954 \tabularnewline
177 & 854.73436119912 & 825.140830834817 & 884.327891563422 \tabularnewline
178 & 856.950066463488 & 825.895357093098 & 888.004775833877 \tabularnewline
179 & 817.325811868334 & 786.025358698467 & 848.6262650382 \tabularnewline
180 & 857.252613110201 & 825.341492581997 & 889.163733638406 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76667&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]859.965927621504[/C][C]843.238841266743[/C][C]876.693013976266[/C][/ROW]
[ROW][C]170[/C][C]810.98708162045[/C][C]792.09352128844[/C][C]829.880641952461[/C][/ROW]
[ROW][C]171[/C][C]928.097269904348[/C][C]905.8662452846[/C][C]950.328294524096[/C][/ROW]
[ROW][C]172[/C][C]942.925120844953[/C][C]918.633977747132[/C][C]967.216263942775[/C][/ROW]
[ROW][C]173[/C][C]1012.43762506758[/C][C]985.298948759301[/C][C]1039.57630137586[/C][/ROW]
[ROW][C]174[/C][C]986.628582685448[/C][C]958.438389422891[/C][C]1014.81877594800[/C][/ROW]
[ROW][C]175[/C][C]945.95184357546[/C][C]917.115705019858[/C][C]974.787982131064[/C][/ROW]
[ROW][C]176[/C][C]904.754344682149[/C][C]875.386750698343[/C][C]934.121938665954[/C][/ROW]
[ROW][C]177[/C][C]854.73436119912[/C][C]825.140830834817[/C][C]884.327891563422[/C][/ROW]
[ROW][C]178[/C][C]856.950066463488[/C][C]825.895357093098[/C][C]888.004775833877[/C][/ROW]
[ROW][C]179[/C][C]817.325811868334[/C][C]786.025358698467[/C][C]848.6262650382[/C][/ROW]
[ROW][C]180[/C][C]857.252613110201[/C][C]825.341492581997[/C][C]889.163733638406[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76667&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76667&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
169859.965927621504843.238841266743876.693013976266
170810.98708162045792.09352128844829.880641952461
171928.097269904348905.8662452846950.328294524096
172942.925120844953918.633977747132967.216263942775
1731012.43762506758985.2989487593011039.57630137586
174986.628582685448958.4383894228911014.81877594800
175945.95184357546917.115705019858974.787982131064
176904.754344682149875.386750698343934.121938665954
177854.73436119912825.140830834817884.327891563422
178856.950066463488825.895357093098888.004775833877
179817.325811868334786.025358698467848.6262650382
180857.252613110201825.341492581997889.163733638406



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')