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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 29 Nov 2011 03:57:26 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/29/t1322557078tfwypyfcao3y3t1.htm/, Retrieved Fri, 19 Apr 2024 15:50:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148109, Retrieved Fri, 19 Apr 2024 15:50:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:56:43] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
420,677
417,428
423,245
423,113
418,873
405,733
397,812
389,918
391,116
443,814
460,373
455,422
456,288
452,233
459,256
461,146
451,391
443,101
438,81
430,457
435,721
488,28
505,814
502,338
500,91
501,434
515,476
520,862
519,517
511,805
508,607
505,327
511,435
570,158
591,665
593,572
586,346
586,063
591,504
594,033
585,597
572,45
562,917
554,675
553,997
601,31
622,255
616,735
606,48
595,079
598,588
599,917
591,573
575,489
567,223
555,338
555,252
608,249
630,859
628,632
624,435
609,67
615,83
621,17
604,212
584,348
573,717
555,234
544,897
598,866
620,081
607,699
589,96
578,665
580,166
579,457
571,56
560,46
551,397
536,763
540,562
588,184
607,049
598,968
577,644
562,64
565,867
561,274
554,144
539,9
526,271
511,841
505,282
554,083
584,225
568,858
539,516
521,612
525,562
526,519
515,713
503,454
489,301
479,02
475,102
523,682
551,528
531,626
511,037
492,417
492,188
492,865
480,961
461,935
456,608
441,977
439,148
488,18
520,564
501,492
485,025
464,196
460,17
467,037
460,07
447,988
442,867
436,087
431,328
484,015
509,673
512,927
502,831
470,984
471,067
476,049
474,605
470,439
461,251
454,724
455,626
516,847
525,192
522,975
518,585
509,239
512,238
519,164
517,009
509,933
509,127
500,857
506,971
569,323
579,714
577,992
565,464
547,344
554,788
562,325
560,854
555,332
543,599
536,662
542,722
593,53
610,763
612,613
611,324
594,167
595,454
590,865
589,379
584,428
573,1
567,456
569,028
620,735
628,884
628,232
612,117
595,404
597,141
593,408
590,072
579,799
574,205
572,775
572,942
619,567
625,809
619,916
587,625
565,742
557,274
560,576
548,854
531,673
525,919
511,038
498,662
555,362
564,591
541,657
527,07
509,846
514,258
516,922
507,561
492,622
490,243
469,357
477,58
528,379
533,59
517,945
506,174
501,866
516,141
528,222
532,638
536,322
536,535
523,597
536,214
586,57
596,594
580,523
564,478
557,56
575,093
580,112
574,761
563,25
551,531
537,034
544,686
600,991
604,378
586,111
563,668
548,604
551,174
555,654
547,97
540,324
530,577
520,579
518,654
572,273
581,302
563,28
547,612

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148109&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148109&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148109&T=0

As an alternative you can also use a QR Code:  
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'Gertrude Mary Cox' @ cox.wessa.net






Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.899203540092405
beta0.0726761241482413
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.899203540092405 \tabularnewline
beta & 0.0726761241482413 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148109&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]0.899203540092405[/C][/ROW]
[ROW][C]beta[/C][C]0.0726761241482413[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148109&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148109&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.899203540092405
beta0.0726761241482413
gamma1






Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13456.288438.23279994658118.0552000534188
14452.233451.4754057993620.757594200638096
15459.256460.1411608244-0.885160824399975
16461.146461.975273899563-0.829273899562565
17451.391452.125613791835-0.734613791835272
18443.101443.675981582031-0.574981582030716
19438.81438.5188158128550.291184187144779
20430.457432.28324677249-1.82624677248953
21435.721433.0996632769792.62133672302122
22488.28489.452168606836-1.17216860683641
23505.814506.323480226681-0.50948022668058
24502.338502.2750970644470.0629029355530406
25500.91506.029080529306-5.11908052930647
26501.434496.1723083067615.26169169323919
27515.476508.4994799498696.97652005013055
28520.862517.6991433846723.16285661532822
29519.517512.0003166908677.51668330913287
30511.805512.077151973217-0.272151973217376
31508.607508.390169775680.21683022432029
32505.327502.9800244378412.34697556215872
33511.435509.3757532055082.05924679449157
34570.158566.1821557387843.97584426121591
35591.665589.4275036361242.23749636387595
36593.572589.7645506301023.80744936989799
37586.346598.465671262663-12.1196712626632
38586.063585.0051485059451.0578514940554
39591.504595.095197535039-3.59119753503921
40594.033595.087457898479-1.05445789847874
41585.597586.439182994956-0.842182994955692
42572.45578.072277531943-5.62227753194338
43562.917569.131765550474-6.21476555047445
44554.675557.240743192924-2.56574319292429
45553.997557.956612127239-3.95961212723876
46601.31607.917361743316-6.60736174331578
47622.255619.1527549546793.10224504532096
48616.735618.163865531989-1.42886553198946
49606.48617.947112226068-11.4671122260676
50595.079603.840301986943-8.76130198694341
51598.588601.429319391149-2.84131939114911
52599.917599.1975658490030.719434150997245
53591.573589.1277011122712.44529888772945
54575.489580.411856992112-4.92285699211197
55567.223569.263015916167-2.04001591616702
56555.338558.989044430272-3.6510444302719
57555.252556.01287716391-0.760877163910436
58608.249606.2164637022.03253629800031
59630.859624.3976074805776.46139251942293
60628.632624.3901075210474.2418924789531
61624.435627.048839829426-2.61383982942596
62609.67620.542366142333-10.8723661423334
63615.83616.05856768276-0.228567682760286
64621.17615.9346132528215.23538674717895
65604.212609.794082646891-5.58208264689108
66584.348592.287322692678-7.93932269267782
67573.717577.689535315215-3.9725353152146
68555.234564.362048376862-9.12804837686235
69544.897555.240931557018-10.3439315570183
70598.866594.9713823795043.89461762049564
71620.081613.2574320193526.82356798064802
72607.699611.359654879308-3.66065487930791
73589.96603.712689756529-13.7526897565289
74578.665583.121096402722-4.45609640272221
75580.166582.662398706214-2.49639870621411
76579.457578.0844567677721.3725432322276
77571.56564.1621486407697.39785135923091
78560.46555.7197043459164.74029565408421
79551.397551.3822483236030.0147516763965996
80536.763539.839993733092-3.07699373309219
81540.562535.1523974069635.40960259303654
82588.184590.628128066151-2.4441280661506
83607.049603.2397927689813.80920723101849
84598.968597.107938650851.86006134914976
85577.644593.30198141709-15.6579814170898
86562.64571.703696451135-9.06369645113546
87565.867566.767739207471-0.900739207471133
88561.274563.587253077973-2.31325307797329
89554.144546.2897819737687.85421802623159
90539.9537.3514442266522.54855577334831
91526.271529.785230494937-3.51423049493735
92511.841513.745825103733-1.90482510373272
93505.282510.032027234138-4.75002723413758
94554.083553.9809777576630.102022242337398
95584.225568.07927963247116.1457203675287
96568.858572.21700941697-3.35900941697003
97539.516560.984233648855-21.4682336488555
98521.612533.47827132449-11.8662713244898
99525.562525.3141174345910.247882565409441
100526.519521.5682542348224.95074576517823
101515.713510.8463031491884.86669685081154
102503.454497.5104088772255.94359112277544
103489.301491.431408314737-2.13040831473717
104479.02475.9344894987943.08551050120593
105475.102475.883280741204-0.78128074120383
106523.682523.611419619830.0705803801697584
107551.528539.01795013867512.5100498613247
108531.626537.402224371416-5.77622437141622
109511.037521.494328101054-10.4573281010542
110492.417504.900617865214-12.4836178652145
111492.188497.405426652967-5.21742665296676
112492.865488.8650276736983.9999723263017
113480.961476.8633899269474.09761007305337
114461.935462.477940942065-0.542940942064774
115456.608448.8619619886047.74603801139619
116441.977442.526721560666-0.54972156066566
117439.148438.3343724331630.81362756683734
118488.18487.2041833912010.975816608798652
119520.564504.35937807174316.2046219282574
120501.492504.144893537288-2.65289353728787
121485.025490.700041015917-5.67504101591697
122464.196478.641235177104-14.4452351771038
123460.17470.42526191676-10.2552619167604
124467.037458.2653839535838.77161604641719
125460.07450.8575757185229.21242428147798
126447.988441.2312000309126.75679996908815
127442.867436.1192817033766.74771829662433
128436.087429.0895326583446.99746734165569
129431.328433.353644012171-2.02564401217131
130484.015481.0337525522182.9812474477821
131509.673503.0053361282456.66766387175505
132512.927493.16925686763719.7577431323631
133502.831501.8908981125250.940101887474782
134470.984497.648143114661-26.6641431146606
135471.067480.820401192114-9.75340119211432
136476.049473.0156191640973.03338083590324
137474.605462.10338320131912.5016167986806
138470.439457.01307540652813.4259245934724
139461.251460.1589062081531.09209379184693
140454.724449.9609388508634.76306114913666
141455.626453.0525121606782.57348783932213
142516.847507.4195550286429.4274449713576
143525.192538.027124771798-12.835124771798
144522.975513.1669478912899.80805210871142
145518.585511.5882668863256.99673311367468
146509.239510.948277371083-1.70927737108309
147512.238520.834429556373-8.59642955637298
148519.164518.0043192726181.15968072738201
149517.009508.8846191183988.12438088160201
150509.933502.1884060407377.74459395926255
151509.127500.848033012288.2789669877198
152500.857499.8178899370311.03911006296875
153506.971501.4321514142135.53884858578738
154569.323561.4422793712027.88072062879814
155579.714590.599729077003-10.8857290770032
156577.992572.0868901955885.90510980441229
157565.464568.772321339048-3.30832133904835
158547.344559.37203624865-12.0280362486499
159554.788559.9945668951-5.2065668951002
160562.325562.1267876823450.198212317654907
161560.854553.7124894722737.14151052772718
162555.332546.8979041426838.4340958573174
163543.599547.080165380537-3.48116538053648
164536.662534.8257544717121.83624552828769
165542.722537.7426907703714.97930922962917
166593.53597.581495196113-4.05149519611325
167610.763613.433848523816-2.67084852381549
168612.613603.8531500676098.75984993239081
169611.324602.2162850900169.10771490998354
170594.167603.952415814623-9.78541581462343
171595.454608.276443770877-12.8224437708772
172590.865604.604866498507-13.7398664985075
173589.379583.9460389259355.43296107406547
174584.428575.2025336969.22546630399984
175573.1574.424224236608-1.32422423660773
176567.456564.3151184414423.14088155855779
177569.028568.4770563612330.550943638766967
178620.735622.889247771556-2.15424777155556
179628.884640.176425424625-11.2924254246248
180628.232623.0215713987085.21042860129228
181612.117617.022383801768-4.90538380176827
182595.404602.132027109441-6.72802710944075
183597.141606.977451664425-9.83645166442466
184593.408604.171856079604-10.7638560796042
185590.072586.5895448848683.48245511513187
186579.799574.8148662315644.98413376843621
187574.205567.2226476751456.98235232485513
188572.775563.6390353764079.13596462359249
189572.942571.9286226706741.01337732932598
190619.567625.512088740155-5.94508874015537
191625.809637.2498253436-11.4408253436001
192619.916620.395653348162-0.479653348161719
193587.625606.659129908907-19.0341299089074
194565.742576.355960343685-10.613960343685
195557.274574.615395245972-17.3413952459723
196560.576561.698969424592-1.12296942459216
197548.854551.582914055442-2.72891405544215
198531.673531.329555951160.343444048839842
199525.919516.4177959428119.50120405718917
200511.038512.132798893109-1.09479889310933
201498.662506.552110907479-7.8901109074788
202555.362546.9942830771028.36771692289824
203564.591567.549688235404-2.95868823540377
204541.657556.483338104752-14.8263381047522
205527.07524.0942413467882.97575865321164
206509.846511.987766775687-2.14176677568696
207514.258515.29759167346-1.03959167345965
208516.922517.850163514505-0.928163514505172
209507.561506.9357337363860.625266263614094
210492.622489.4156760208933.2063239791068
211490.243477.59591532318912.6470846768111
212469.357474.871868704228-5.51486870422832
213477.58464.14304359093213.4369564090682
214528.379526.3064076164082.07259238359222
215533.59540.553248551442-6.96324855144178
216517.945524.921761573102-6.97676157310195
217506.174502.1303899687944.04361003120607
218501.866491.28305726467710.5829427353234
219516.141507.7924036833368.34859631666438
220528.222521.0579452795557.1640547204446
221532.638520.3653248677912.2726751322103
222536.322517.12866326578519.193336734215
223536.535525.23068096076111.304319039239
224523.597523.975408213961-0.378408213961279
225536.214524.61810844938511.5958915506154
226586.57588.702703040951-2.13270304095079
227596.594602.704738234382-6.11073823438164
228580.523592.341573140875-11.8185731408753
229564.478570.493930106294-6.01593010629426
230557.56554.789455846392.77054415360999
231575.093567.0673974009798.02560259902077
232580.112582.920742267457-2.80874226745686
233574.761576.121387768952-1.36038776895225
234563.25562.7783861267950.471613873205229
235551.531553.482083137546-1.95108313754588
236537.034538.495183265509-1.46118326550936
237544.686538.6657103245396.02028967546119
238600.991595.2830361097685.70796389023235
239604.378615.37697328059-10.9989732805896
240586.111599.166029526849-13.0550295268491
241563.668575.833712357796-12.1657123577958
242548.604554.125351443082-5.52135144308181
243551.174557.575375641522-6.40137564152246
244555.654556.519548134066-0.865548134066103
245547.97548.896179783457-0.926179783456519
246540.324533.4393246415756.88467535842528
247530.577527.3956134192553.18138658074474
248520.579515.1387822387035.44021776129705
249518.654520.785743990519-2.13174399051854
250572.273568.0250748609174.24792513908346
251581.302583.010549395917-1.70854939591663
252563.28573.441889034151-10.1618890341514
253547.612551.485347145825-3.87334714582494

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 456.288 & 438.232799946581 & 18.0552000534188 \tabularnewline
14 & 452.233 & 451.475405799362 & 0.757594200638096 \tabularnewline
15 & 459.256 & 460.1411608244 & -0.885160824399975 \tabularnewline
16 & 461.146 & 461.975273899563 & -0.829273899562565 \tabularnewline
17 & 451.391 & 452.125613791835 & -0.734613791835272 \tabularnewline
18 & 443.101 & 443.675981582031 & -0.574981582030716 \tabularnewline
19 & 438.81 & 438.518815812855 & 0.291184187144779 \tabularnewline
20 & 430.457 & 432.28324677249 & -1.82624677248953 \tabularnewline
21 & 435.721 & 433.099663276979 & 2.62133672302122 \tabularnewline
22 & 488.28 & 489.452168606836 & -1.17216860683641 \tabularnewline
23 & 505.814 & 506.323480226681 & -0.50948022668058 \tabularnewline
24 & 502.338 & 502.275097064447 & 0.0629029355530406 \tabularnewline
25 & 500.91 & 506.029080529306 & -5.11908052930647 \tabularnewline
26 & 501.434 & 496.172308306761 & 5.26169169323919 \tabularnewline
27 & 515.476 & 508.499479949869 & 6.97652005013055 \tabularnewline
28 & 520.862 & 517.699143384672 & 3.16285661532822 \tabularnewline
29 & 519.517 & 512.000316690867 & 7.51668330913287 \tabularnewline
30 & 511.805 & 512.077151973217 & -0.272151973217376 \tabularnewline
31 & 508.607 & 508.39016977568 & 0.21683022432029 \tabularnewline
32 & 505.327 & 502.980024437841 & 2.34697556215872 \tabularnewline
33 & 511.435 & 509.375753205508 & 2.05924679449157 \tabularnewline
34 & 570.158 & 566.182155738784 & 3.97584426121591 \tabularnewline
35 & 591.665 & 589.427503636124 & 2.23749636387595 \tabularnewline
36 & 593.572 & 589.764550630102 & 3.80744936989799 \tabularnewline
37 & 586.346 & 598.465671262663 & -12.1196712626632 \tabularnewline
38 & 586.063 & 585.005148505945 & 1.0578514940554 \tabularnewline
39 & 591.504 & 595.095197535039 & -3.59119753503921 \tabularnewline
40 & 594.033 & 595.087457898479 & -1.05445789847874 \tabularnewline
41 & 585.597 & 586.439182994956 & -0.842182994955692 \tabularnewline
42 & 572.45 & 578.072277531943 & -5.62227753194338 \tabularnewline
43 & 562.917 & 569.131765550474 & -6.21476555047445 \tabularnewline
44 & 554.675 & 557.240743192924 & -2.56574319292429 \tabularnewline
45 & 553.997 & 557.956612127239 & -3.95961212723876 \tabularnewline
46 & 601.31 & 607.917361743316 & -6.60736174331578 \tabularnewline
47 & 622.255 & 619.152754954679 & 3.10224504532096 \tabularnewline
48 & 616.735 & 618.163865531989 & -1.42886553198946 \tabularnewline
49 & 606.48 & 617.947112226068 & -11.4671122260676 \tabularnewline
50 & 595.079 & 603.840301986943 & -8.76130198694341 \tabularnewline
51 & 598.588 & 601.429319391149 & -2.84131939114911 \tabularnewline
52 & 599.917 & 599.197565849003 & 0.719434150997245 \tabularnewline
53 & 591.573 & 589.127701112271 & 2.44529888772945 \tabularnewline
54 & 575.489 & 580.411856992112 & -4.92285699211197 \tabularnewline
55 & 567.223 & 569.263015916167 & -2.04001591616702 \tabularnewline
56 & 555.338 & 558.989044430272 & -3.6510444302719 \tabularnewline
57 & 555.252 & 556.01287716391 & -0.760877163910436 \tabularnewline
58 & 608.249 & 606.216463702 & 2.03253629800031 \tabularnewline
59 & 630.859 & 624.397607480577 & 6.46139251942293 \tabularnewline
60 & 628.632 & 624.390107521047 & 4.2418924789531 \tabularnewline
61 & 624.435 & 627.048839829426 & -2.61383982942596 \tabularnewline
62 & 609.67 & 620.542366142333 & -10.8723661423334 \tabularnewline
63 & 615.83 & 616.05856768276 & -0.228567682760286 \tabularnewline
64 & 621.17 & 615.934613252821 & 5.23538674717895 \tabularnewline
65 & 604.212 & 609.794082646891 & -5.58208264689108 \tabularnewline
66 & 584.348 & 592.287322692678 & -7.93932269267782 \tabularnewline
67 & 573.717 & 577.689535315215 & -3.9725353152146 \tabularnewline
68 & 555.234 & 564.362048376862 & -9.12804837686235 \tabularnewline
69 & 544.897 & 555.240931557018 & -10.3439315570183 \tabularnewline
70 & 598.866 & 594.971382379504 & 3.89461762049564 \tabularnewline
71 & 620.081 & 613.257432019352 & 6.82356798064802 \tabularnewline
72 & 607.699 & 611.359654879308 & -3.66065487930791 \tabularnewline
73 & 589.96 & 603.712689756529 & -13.7526897565289 \tabularnewline
74 & 578.665 & 583.121096402722 & -4.45609640272221 \tabularnewline
75 & 580.166 & 582.662398706214 & -2.49639870621411 \tabularnewline
76 & 579.457 & 578.084456767772 & 1.3725432322276 \tabularnewline
77 & 571.56 & 564.162148640769 & 7.39785135923091 \tabularnewline
78 & 560.46 & 555.719704345916 & 4.74029565408421 \tabularnewline
79 & 551.397 & 551.382248323603 & 0.0147516763965996 \tabularnewline
80 & 536.763 & 539.839993733092 & -3.07699373309219 \tabularnewline
81 & 540.562 & 535.152397406963 & 5.40960259303654 \tabularnewline
82 & 588.184 & 590.628128066151 & -2.4441280661506 \tabularnewline
83 & 607.049 & 603.239792768981 & 3.80920723101849 \tabularnewline
84 & 598.968 & 597.10793865085 & 1.86006134914976 \tabularnewline
85 & 577.644 & 593.30198141709 & -15.6579814170898 \tabularnewline
86 & 562.64 & 571.703696451135 & -9.06369645113546 \tabularnewline
87 & 565.867 & 566.767739207471 & -0.900739207471133 \tabularnewline
88 & 561.274 & 563.587253077973 & -2.31325307797329 \tabularnewline
89 & 554.144 & 546.289781973768 & 7.85421802623159 \tabularnewline
90 & 539.9 & 537.351444226652 & 2.54855577334831 \tabularnewline
91 & 526.271 & 529.785230494937 & -3.51423049493735 \tabularnewline
92 & 511.841 & 513.745825103733 & -1.90482510373272 \tabularnewline
93 & 505.282 & 510.032027234138 & -4.75002723413758 \tabularnewline
94 & 554.083 & 553.980977757663 & 0.102022242337398 \tabularnewline
95 & 584.225 & 568.079279632471 & 16.1457203675287 \tabularnewline
96 & 568.858 & 572.21700941697 & -3.35900941697003 \tabularnewline
97 & 539.516 & 560.984233648855 & -21.4682336488555 \tabularnewline
98 & 521.612 & 533.47827132449 & -11.8662713244898 \tabularnewline
99 & 525.562 & 525.314117434591 & 0.247882565409441 \tabularnewline
100 & 526.519 & 521.568254234822 & 4.95074576517823 \tabularnewline
101 & 515.713 & 510.846303149188 & 4.86669685081154 \tabularnewline
102 & 503.454 & 497.510408877225 & 5.94359112277544 \tabularnewline
103 & 489.301 & 491.431408314737 & -2.13040831473717 \tabularnewline
104 & 479.02 & 475.934489498794 & 3.08551050120593 \tabularnewline
105 & 475.102 & 475.883280741204 & -0.78128074120383 \tabularnewline
106 & 523.682 & 523.61141961983 & 0.0705803801697584 \tabularnewline
107 & 551.528 & 539.017950138675 & 12.5100498613247 \tabularnewline
108 & 531.626 & 537.402224371416 & -5.77622437141622 \tabularnewline
109 & 511.037 & 521.494328101054 & -10.4573281010542 \tabularnewline
110 & 492.417 & 504.900617865214 & -12.4836178652145 \tabularnewline
111 & 492.188 & 497.405426652967 & -5.21742665296676 \tabularnewline
112 & 492.865 & 488.865027673698 & 3.9999723263017 \tabularnewline
113 & 480.961 & 476.863389926947 & 4.09761007305337 \tabularnewline
114 & 461.935 & 462.477940942065 & -0.542940942064774 \tabularnewline
115 & 456.608 & 448.861961988604 & 7.74603801139619 \tabularnewline
116 & 441.977 & 442.526721560666 & -0.54972156066566 \tabularnewline
117 & 439.148 & 438.334372433163 & 0.81362756683734 \tabularnewline
118 & 488.18 & 487.204183391201 & 0.975816608798652 \tabularnewline
119 & 520.564 & 504.359378071743 & 16.2046219282574 \tabularnewline
120 & 501.492 & 504.144893537288 & -2.65289353728787 \tabularnewline
121 & 485.025 & 490.700041015917 & -5.67504101591697 \tabularnewline
122 & 464.196 & 478.641235177104 & -14.4452351771038 \tabularnewline
123 & 460.17 & 470.42526191676 & -10.2552619167604 \tabularnewline
124 & 467.037 & 458.265383953583 & 8.77161604641719 \tabularnewline
125 & 460.07 & 450.857575718522 & 9.21242428147798 \tabularnewline
126 & 447.988 & 441.231200030912 & 6.75679996908815 \tabularnewline
127 & 442.867 & 436.119281703376 & 6.74771829662433 \tabularnewline
128 & 436.087 & 429.089532658344 & 6.99746734165569 \tabularnewline
129 & 431.328 & 433.353644012171 & -2.02564401217131 \tabularnewline
130 & 484.015 & 481.033752552218 & 2.9812474477821 \tabularnewline
131 & 509.673 & 503.005336128245 & 6.66766387175505 \tabularnewline
132 & 512.927 & 493.169256867637 & 19.7577431323631 \tabularnewline
133 & 502.831 & 501.890898112525 & 0.940101887474782 \tabularnewline
134 & 470.984 & 497.648143114661 & -26.6641431146606 \tabularnewline
135 & 471.067 & 480.820401192114 & -9.75340119211432 \tabularnewline
136 & 476.049 & 473.015619164097 & 3.03338083590324 \tabularnewline
137 & 474.605 & 462.103383201319 & 12.5016167986806 \tabularnewline
138 & 470.439 & 457.013075406528 & 13.4259245934724 \tabularnewline
139 & 461.251 & 460.158906208153 & 1.09209379184693 \tabularnewline
140 & 454.724 & 449.960938850863 & 4.76306114913666 \tabularnewline
141 & 455.626 & 453.052512160678 & 2.57348783932213 \tabularnewline
142 & 516.847 & 507.419555028642 & 9.4274449713576 \tabularnewline
143 & 525.192 & 538.027124771798 & -12.835124771798 \tabularnewline
144 & 522.975 & 513.166947891289 & 9.80805210871142 \tabularnewline
145 & 518.585 & 511.588266886325 & 6.99673311367468 \tabularnewline
146 & 509.239 & 510.948277371083 & -1.70927737108309 \tabularnewline
147 & 512.238 & 520.834429556373 & -8.59642955637298 \tabularnewline
148 & 519.164 & 518.004319272618 & 1.15968072738201 \tabularnewline
149 & 517.009 & 508.884619118398 & 8.12438088160201 \tabularnewline
150 & 509.933 & 502.188406040737 & 7.74459395926255 \tabularnewline
151 & 509.127 & 500.84803301228 & 8.2789669877198 \tabularnewline
152 & 500.857 & 499.817889937031 & 1.03911006296875 \tabularnewline
153 & 506.971 & 501.432151414213 & 5.53884858578738 \tabularnewline
154 & 569.323 & 561.442279371202 & 7.88072062879814 \tabularnewline
155 & 579.714 & 590.599729077003 & -10.8857290770032 \tabularnewline
156 & 577.992 & 572.086890195588 & 5.90510980441229 \tabularnewline
157 & 565.464 & 568.772321339048 & -3.30832133904835 \tabularnewline
158 & 547.344 & 559.37203624865 & -12.0280362486499 \tabularnewline
159 & 554.788 & 559.9945668951 & -5.2065668951002 \tabularnewline
160 & 562.325 & 562.126787682345 & 0.198212317654907 \tabularnewline
161 & 560.854 & 553.712489472273 & 7.14151052772718 \tabularnewline
162 & 555.332 & 546.897904142683 & 8.4340958573174 \tabularnewline
163 & 543.599 & 547.080165380537 & -3.48116538053648 \tabularnewline
164 & 536.662 & 534.825754471712 & 1.83624552828769 \tabularnewline
165 & 542.722 & 537.742690770371 & 4.97930922962917 \tabularnewline
166 & 593.53 & 597.581495196113 & -4.05149519611325 \tabularnewline
167 & 610.763 & 613.433848523816 & -2.67084852381549 \tabularnewline
168 & 612.613 & 603.853150067609 & 8.75984993239081 \tabularnewline
169 & 611.324 & 602.216285090016 & 9.10771490998354 \tabularnewline
170 & 594.167 & 603.952415814623 & -9.78541581462343 \tabularnewline
171 & 595.454 & 608.276443770877 & -12.8224437708772 \tabularnewline
172 & 590.865 & 604.604866498507 & -13.7398664985075 \tabularnewline
173 & 589.379 & 583.946038925935 & 5.43296107406547 \tabularnewline
174 & 584.428 & 575.202533696 & 9.22546630399984 \tabularnewline
175 & 573.1 & 574.424224236608 & -1.32422423660773 \tabularnewline
176 & 567.456 & 564.315118441442 & 3.14088155855779 \tabularnewline
177 & 569.028 & 568.477056361233 & 0.550943638766967 \tabularnewline
178 & 620.735 & 622.889247771556 & -2.15424777155556 \tabularnewline
179 & 628.884 & 640.176425424625 & -11.2924254246248 \tabularnewline
180 & 628.232 & 623.021571398708 & 5.21042860129228 \tabularnewline
181 & 612.117 & 617.022383801768 & -4.90538380176827 \tabularnewline
182 & 595.404 & 602.132027109441 & -6.72802710944075 \tabularnewline
183 & 597.141 & 606.977451664425 & -9.83645166442466 \tabularnewline
184 & 593.408 & 604.171856079604 & -10.7638560796042 \tabularnewline
185 & 590.072 & 586.589544884868 & 3.48245511513187 \tabularnewline
186 & 579.799 & 574.814866231564 & 4.98413376843621 \tabularnewline
187 & 574.205 & 567.222647675145 & 6.98235232485513 \tabularnewline
188 & 572.775 & 563.639035376407 & 9.13596462359249 \tabularnewline
189 & 572.942 & 571.928622670674 & 1.01337732932598 \tabularnewline
190 & 619.567 & 625.512088740155 & -5.94508874015537 \tabularnewline
191 & 625.809 & 637.2498253436 & -11.4408253436001 \tabularnewline
192 & 619.916 & 620.395653348162 & -0.479653348161719 \tabularnewline
193 & 587.625 & 606.659129908907 & -19.0341299089074 \tabularnewline
194 & 565.742 & 576.355960343685 & -10.613960343685 \tabularnewline
195 & 557.274 & 574.615395245972 & -17.3413952459723 \tabularnewline
196 & 560.576 & 561.698969424592 & -1.12296942459216 \tabularnewline
197 & 548.854 & 551.582914055442 & -2.72891405544215 \tabularnewline
198 & 531.673 & 531.32955595116 & 0.343444048839842 \tabularnewline
199 & 525.919 & 516.417795942811 & 9.50120405718917 \tabularnewline
200 & 511.038 & 512.132798893109 & -1.09479889310933 \tabularnewline
201 & 498.662 & 506.552110907479 & -7.8901109074788 \tabularnewline
202 & 555.362 & 546.994283077102 & 8.36771692289824 \tabularnewline
203 & 564.591 & 567.549688235404 & -2.95868823540377 \tabularnewline
204 & 541.657 & 556.483338104752 & -14.8263381047522 \tabularnewline
205 & 527.07 & 524.094241346788 & 2.97575865321164 \tabularnewline
206 & 509.846 & 511.987766775687 & -2.14176677568696 \tabularnewline
207 & 514.258 & 515.29759167346 & -1.03959167345965 \tabularnewline
208 & 516.922 & 517.850163514505 & -0.928163514505172 \tabularnewline
209 & 507.561 & 506.935733736386 & 0.625266263614094 \tabularnewline
210 & 492.622 & 489.415676020893 & 3.2063239791068 \tabularnewline
211 & 490.243 & 477.595915323189 & 12.6470846768111 \tabularnewline
212 & 469.357 & 474.871868704228 & -5.51486870422832 \tabularnewline
213 & 477.58 & 464.143043590932 & 13.4369564090682 \tabularnewline
214 & 528.379 & 526.306407616408 & 2.07259238359222 \tabularnewline
215 & 533.59 & 540.553248551442 & -6.96324855144178 \tabularnewline
216 & 517.945 & 524.921761573102 & -6.97676157310195 \tabularnewline
217 & 506.174 & 502.130389968794 & 4.04361003120607 \tabularnewline
218 & 501.866 & 491.283057264677 & 10.5829427353234 \tabularnewline
219 & 516.141 & 507.792403683336 & 8.34859631666438 \tabularnewline
220 & 528.222 & 521.057945279555 & 7.1640547204446 \tabularnewline
221 & 532.638 & 520.36532486779 & 12.2726751322103 \tabularnewline
222 & 536.322 & 517.128663265785 & 19.193336734215 \tabularnewline
223 & 536.535 & 525.230680960761 & 11.304319039239 \tabularnewline
224 & 523.597 & 523.975408213961 & -0.378408213961279 \tabularnewline
225 & 536.214 & 524.618108449385 & 11.5958915506154 \tabularnewline
226 & 586.57 & 588.702703040951 & -2.13270304095079 \tabularnewline
227 & 596.594 & 602.704738234382 & -6.11073823438164 \tabularnewline
228 & 580.523 & 592.341573140875 & -11.8185731408753 \tabularnewline
229 & 564.478 & 570.493930106294 & -6.01593010629426 \tabularnewline
230 & 557.56 & 554.78945584639 & 2.77054415360999 \tabularnewline
231 & 575.093 & 567.067397400979 & 8.02560259902077 \tabularnewline
232 & 580.112 & 582.920742267457 & -2.80874226745686 \tabularnewline
233 & 574.761 & 576.121387768952 & -1.36038776895225 \tabularnewline
234 & 563.25 & 562.778386126795 & 0.471613873205229 \tabularnewline
235 & 551.531 & 553.482083137546 & -1.95108313754588 \tabularnewline
236 & 537.034 & 538.495183265509 & -1.46118326550936 \tabularnewline
237 & 544.686 & 538.665710324539 & 6.02028967546119 \tabularnewline
238 & 600.991 & 595.283036109768 & 5.70796389023235 \tabularnewline
239 & 604.378 & 615.37697328059 & -10.9989732805896 \tabularnewline
240 & 586.111 & 599.166029526849 & -13.0550295268491 \tabularnewline
241 & 563.668 & 575.833712357796 & -12.1657123577958 \tabularnewline
242 & 548.604 & 554.125351443082 & -5.52135144308181 \tabularnewline
243 & 551.174 & 557.575375641522 & -6.40137564152246 \tabularnewline
244 & 555.654 & 556.519548134066 & -0.865548134066103 \tabularnewline
245 & 547.97 & 548.896179783457 & -0.926179783456519 \tabularnewline
246 & 540.324 & 533.439324641575 & 6.88467535842528 \tabularnewline
247 & 530.577 & 527.395613419255 & 3.18138658074474 \tabularnewline
248 & 520.579 & 515.138782238703 & 5.44021776129705 \tabularnewline
249 & 518.654 & 520.785743990519 & -2.13174399051854 \tabularnewline
250 & 572.273 & 568.025074860917 & 4.24792513908346 \tabularnewline
251 & 581.302 & 583.010549395917 & -1.70854939591663 \tabularnewline
252 & 563.28 & 573.441889034151 & -10.1618890341514 \tabularnewline
253 & 547.612 & 551.485347145825 & -3.87334714582494 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148109&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]456.288[/C][C]438.232799946581[/C][C]18.0552000534188[/C][/ROW]
[ROW][C]14[/C][C]452.233[/C][C]451.475405799362[/C][C]0.757594200638096[/C][/ROW]
[ROW][C]15[/C][C]459.256[/C][C]460.1411608244[/C][C]-0.885160824399975[/C][/ROW]
[ROW][C]16[/C][C]461.146[/C][C]461.975273899563[/C][C]-0.829273899562565[/C][/ROW]
[ROW][C]17[/C][C]451.391[/C][C]452.125613791835[/C][C]-0.734613791835272[/C][/ROW]
[ROW][C]18[/C][C]443.101[/C][C]443.675981582031[/C][C]-0.574981582030716[/C][/ROW]
[ROW][C]19[/C][C]438.81[/C][C]438.518815812855[/C][C]0.291184187144779[/C][/ROW]
[ROW][C]20[/C][C]430.457[/C][C]432.28324677249[/C][C]-1.82624677248953[/C][/ROW]
[ROW][C]21[/C][C]435.721[/C][C]433.099663276979[/C][C]2.62133672302122[/C][/ROW]
[ROW][C]22[/C][C]488.28[/C][C]489.452168606836[/C][C]-1.17216860683641[/C][/ROW]
[ROW][C]23[/C][C]505.814[/C][C]506.323480226681[/C][C]-0.50948022668058[/C][/ROW]
[ROW][C]24[/C][C]502.338[/C][C]502.275097064447[/C][C]0.0629029355530406[/C][/ROW]
[ROW][C]25[/C][C]500.91[/C][C]506.029080529306[/C][C]-5.11908052930647[/C][/ROW]
[ROW][C]26[/C][C]501.434[/C][C]496.172308306761[/C][C]5.26169169323919[/C][/ROW]
[ROW][C]27[/C][C]515.476[/C][C]508.499479949869[/C][C]6.97652005013055[/C][/ROW]
[ROW][C]28[/C][C]520.862[/C][C]517.699143384672[/C][C]3.16285661532822[/C][/ROW]
[ROW][C]29[/C][C]519.517[/C][C]512.000316690867[/C][C]7.51668330913287[/C][/ROW]
[ROW][C]30[/C][C]511.805[/C][C]512.077151973217[/C][C]-0.272151973217376[/C][/ROW]
[ROW][C]31[/C][C]508.607[/C][C]508.39016977568[/C][C]0.21683022432029[/C][/ROW]
[ROW][C]32[/C][C]505.327[/C][C]502.980024437841[/C][C]2.34697556215872[/C][/ROW]
[ROW][C]33[/C][C]511.435[/C][C]509.375753205508[/C][C]2.05924679449157[/C][/ROW]
[ROW][C]34[/C][C]570.158[/C][C]566.182155738784[/C][C]3.97584426121591[/C][/ROW]
[ROW][C]35[/C][C]591.665[/C][C]589.427503636124[/C][C]2.23749636387595[/C][/ROW]
[ROW][C]36[/C][C]593.572[/C][C]589.764550630102[/C][C]3.80744936989799[/C][/ROW]
[ROW][C]37[/C][C]586.346[/C][C]598.465671262663[/C][C]-12.1196712626632[/C][/ROW]
[ROW][C]38[/C][C]586.063[/C][C]585.005148505945[/C][C]1.0578514940554[/C][/ROW]
[ROW][C]39[/C][C]591.504[/C][C]595.095197535039[/C][C]-3.59119753503921[/C][/ROW]
[ROW][C]40[/C][C]594.033[/C][C]595.087457898479[/C][C]-1.05445789847874[/C][/ROW]
[ROW][C]41[/C][C]585.597[/C][C]586.439182994956[/C][C]-0.842182994955692[/C][/ROW]
[ROW][C]42[/C][C]572.45[/C][C]578.072277531943[/C][C]-5.62227753194338[/C][/ROW]
[ROW][C]43[/C][C]562.917[/C][C]569.131765550474[/C][C]-6.21476555047445[/C][/ROW]
[ROW][C]44[/C][C]554.675[/C][C]557.240743192924[/C][C]-2.56574319292429[/C][/ROW]
[ROW][C]45[/C][C]553.997[/C][C]557.956612127239[/C][C]-3.95961212723876[/C][/ROW]
[ROW][C]46[/C][C]601.31[/C][C]607.917361743316[/C][C]-6.60736174331578[/C][/ROW]
[ROW][C]47[/C][C]622.255[/C][C]619.152754954679[/C][C]3.10224504532096[/C][/ROW]
[ROW][C]48[/C][C]616.735[/C][C]618.163865531989[/C][C]-1.42886553198946[/C][/ROW]
[ROW][C]49[/C][C]606.48[/C][C]617.947112226068[/C][C]-11.4671122260676[/C][/ROW]
[ROW][C]50[/C][C]595.079[/C][C]603.840301986943[/C][C]-8.76130198694341[/C][/ROW]
[ROW][C]51[/C][C]598.588[/C][C]601.429319391149[/C][C]-2.84131939114911[/C][/ROW]
[ROW][C]52[/C][C]599.917[/C][C]599.197565849003[/C][C]0.719434150997245[/C][/ROW]
[ROW][C]53[/C][C]591.573[/C][C]589.127701112271[/C][C]2.44529888772945[/C][/ROW]
[ROW][C]54[/C][C]575.489[/C][C]580.411856992112[/C][C]-4.92285699211197[/C][/ROW]
[ROW][C]55[/C][C]567.223[/C][C]569.263015916167[/C][C]-2.04001591616702[/C][/ROW]
[ROW][C]56[/C][C]555.338[/C][C]558.989044430272[/C][C]-3.6510444302719[/C][/ROW]
[ROW][C]57[/C][C]555.252[/C][C]556.01287716391[/C][C]-0.760877163910436[/C][/ROW]
[ROW][C]58[/C][C]608.249[/C][C]606.216463702[/C][C]2.03253629800031[/C][/ROW]
[ROW][C]59[/C][C]630.859[/C][C]624.397607480577[/C][C]6.46139251942293[/C][/ROW]
[ROW][C]60[/C][C]628.632[/C][C]624.390107521047[/C][C]4.2418924789531[/C][/ROW]
[ROW][C]61[/C][C]624.435[/C][C]627.048839829426[/C][C]-2.61383982942596[/C][/ROW]
[ROW][C]62[/C][C]609.67[/C][C]620.542366142333[/C][C]-10.8723661423334[/C][/ROW]
[ROW][C]63[/C][C]615.83[/C][C]616.05856768276[/C][C]-0.228567682760286[/C][/ROW]
[ROW][C]64[/C][C]621.17[/C][C]615.934613252821[/C][C]5.23538674717895[/C][/ROW]
[ROW][C]65[/C][C]604.212[/C][C]609.794082646891[/C][C]-5.58208264689108[/C][/ROW]
[ROW][C]66[/C][C]584.348[/C][C]592.287322692678[/C][C]-7.93932269267782[/C][/ROW]
[ROW][C]67[/C][C]573.717[/C][C]577.689535315215[/C][C]-3.9725353152146[/C][/ROW]
[ROW][C]68[/C][C]555.234[/C][C]564.362048376862[/C][C]-9.12804837686235[/C][/ROW]
[ROW][C]69[/C][C]544.897[/C][C]555.240931557018[/C][C]-10.3439315570183[/C][/ROW]
[ROW][C]70[/C][C]598.866[/C][C]594.971382379504[/C][C]3.89461762049564[/C][/ROW]
[ROW][C]71[/C][C]620.081[/C][C]613.257432019352[/C][C]6.82356798064802[/C][/ROW]
[ROW][C]72[/C][C]607.699[/C][C]611.359654879308[/C][C]-3.66065487930791[/C][/ROW]
[ROW][C]73[/C][C]589.96[/C][C]603.712689756529[/C][C]-13.7526897565289[/C][/ROW]
[ROW][C]74[/C][C]578.665[/C][C]583.121096402722[/C][C]-4.45609640272221[/C][/ROW]
[ROW][C]75[/C][C]580.166[/C][C]582.662398706214[/C][C]-2.49639870621411[/C][/ROW]
[ROW][C]76[/C][C]579.457[/C][C]578.084456767772[/C][C]1.3725432322276[/C][/ROW]
[ROW][C]77[/C][C]571.56[/C][C]564.162148640769[/C][C]7.39785135923091[/C][/ROW]
[ROW][C]78[/C][C]560.46[/C][C]555.719704345916[/C][C]4.74029565408421[/C][/ROW]
[ROW][C]79[/C][C]551.397[/C][C]551.382248323603[/C][C]0.0147516763965996[/C][/ROW]
[ROW][C]80[/C][C]536.763[/C][C]539.839993733092[/C][C]-3.07699373309219[/C][/ROW]
[ROW][C]81[/C][C]540.562[/C][C]535.152397406963[/C][C]5.40960259303654[/C][/ROW]
[ROW][C]82[/C][C]588.184[/C][C]590.628128066151[/C][C]-2.4441280661506[/C][/ROW]
[ROW][C]83[/C][C]607.049[/C][C]603.239792768981[/C][C]3.80920723101849[/C][/ROW]
[ROW][C]84[/C][C]598.968[/C][C]597.10793865085[/C][C]1.86006134914976[/C][/ROW]
[ROW][C]85[/C][C]577.644[/C][C]593.30198141709[/C][C]-15.6579814170898[/C][/ROW]
[ROW][C]86[/C][C]562.64[/C][C]571.703696451135[/C][C]-9.06369645113546[/C][/ROW]
[ROW][C]87[/C][C]565.867[/C][C]566.767739207471[/C][C]-0.900739207471133[/C][/ROW]
[ROW][C]88[/C][C]561.274[/C][C]563.587253077973[/C][C]-2.31325307797329[/C][/ROW]
[ROW][C]89[/C][C]554.144[/C][C]546.289781973768[/C][C]7.85421802623159[/C][/ROW]
[ROW][C]90[/C][C]539.9[/C][C]537.351444226652[/C][C]2.54855577334831[/C][/ROW]
[ROW][C]91[/C][C]526.271[/C][C]529.785230494937[/C][C]-3.51423049493735[/C][/ROW]
[ROW][C]92[/C][C]511.841[/C][C]513.745825103733[/C][C]-1.90482510373272[/C][/ROW]
[ROW][C]93[/C][C]505.282[/C][C]510.032027234138[/C][C]-4.75002723413758[/C][/ROW]
[ROW][C]94[/C][C]554.083[/C][C]553.980977757663[/C][C]0.102022242337398[/C][/ROW]
[ROW][C]95[/C][C]584.225[/C][C]568.079279632471[/C][C]16.1457203675287[/C][/ROW]
[ROW][C]96[/C][C]568.858[/C][C]572.21700941697[/C][C]-3.35900941697003[/C][/ROW]
[ROW][C]97[/C][C]539.516[/C][C]560.984233648855[/C][C]-21.4682336488555[/C][/ROW]
[ROW][C]98[/C][C]521.612[/C][C]533.47827132449[/C][C]-11.8662713244898[/C][/ROW]
[ROW][C]99[/C][C]525.562[/C][C]525.314117434591[/C][C]0.247882565409441[/C][/ROW]
[ROW][C]100[/C][C]526.519[/C][C]521.568254234822[/C][C]4.95074576517823[/C][/ROW]
[ROW][C]101[/C][C]515.713[/C][C]510.846303149188[/C][C]4.86669685081154[/C][/ROW]
[ROW][C]102[/C][C]503.454[/C][C]497.510408877225[/C][C]5.94359112277544[/C][/ROW]
[ROW][C]103[/C][C]489.301[/C][C]491.431408314737[/C][C]-2.13040831473717[/C][/ROW]
[ROW][C]104[/C][C]479.02[/C][C]475.934489498794[/C][C]3.08551050120593[/C][/ROW]
[ROW][C]105[/C][C]475.102[/C][C]475.883280741204[/C][C]-0.78128074120383[/C][/ROW]
[ROW][C]106[/C][C]523.682[/C][C]523.61141961983[/C][C]0.0705803801697584[/C][/ROW]
[ROW][C]107[/C][C]551.528[/C][C]539.017950138675[/C][C]12.5100498613247[/C][/ROW]
[ROW][C]108[/C][C]531.626[/C][C]537.402224371416[/C][C]-5.77622437141622[/C][/ROW]
[ROW][C]109[/C][C]511.037[/C][C]521.494328101054[/C][C]-10.4573281010542[/C][/ROW]
[ROW][C]110[/C][C]492.417[/C][C]504.900617865214[/C][C]-12.4836178652145[/C][/ROW]
[ROW][C]111[/C][C]492.188[/C][C]497.405426652967[/C][C]-5.21742665296676[/C][/ROW]
[ROW][C]112[/C][C]492.865[/C][C]488.865027673698[/C][C]3.9999723263017[/C][/ROW]
[ROW][C]113[/C][C]480.961[/C][C]476.863389926947[/C][C]4.09761007305337[/C][/ROW]
[ROW][C]114[/C][C]461.935[/C][C]462.477940942065[/C][C]-0.542940942064774[/C][/ROW]
[ROW][C]115[/C][C]456.608[/C][C]448.861961988604[/C][C]7.74603801139619[/C][/ROW]
[ROW][C]116[/C][C]441.977[/C][C]442.526721560666[/C][C]-0.54972156066566[/C][/ROW]
[ROW][C]117[/C][C]439.148[/C][C]438.334372433163[/C][C]0.81362756683734[/C][/ROW]
[ROW][C]118[/C][C]488.18[/C][C]487.204183391201[/C][C]0.975816608798652[/C][/ROW]
[ROW][C]119[/C][C]520.564[/C][C]504.359378071743[/C][C]16.2046219282574[/C][/ROW]
[ROW][C]120[/C][C]501.492[/C][C]504.144893537288[/C][C]-2.65289353728787[/C][/ROW]
[ROW][C]121[/C][C]485.025[/C][C]490.700041015917[/C][C]-5.67504101591697[/C][/ROW]
[ROW][C]122[/C][C]464.196[/C][C]478.641235177104[/C][C]-14.4452351771038[/C][/ROW]
[ROW][C]123[/C][C]460.17[/C][C]470.42526191676[/C][C]-10.2552619167604[/C][/ROW]
[ROW][C]124[/C][C]467.037[/C][C]458.265383953583[/C][C]8.77161604641719[/C][/ROW]
[ROW][C]125[/C][C]460.07[/C][C]450.857575718522[/C][C]9.21242428147798[/C][/ROW]
[ROW][C]126[/C][C]447.988[/C][C]441.231200030912[/C][C]6.75679996908815[/C][/ROW]
[ROW][C]127[/C][C]442.867[/C][C]436.119281703376[/C][C]6.74771829662433[/C][/ROW]
[ROW][C]128[/C][C]436.087[/C][C]429.089532658344[/C][C]6.99746734165569[/C][/ROW]
[ROW][C]129[/C][C]431.328[/C][C]433.353644012171[/C][C]-2.02564401217131[/C][/ROW]
[ROW][C]130[/C][C]484.015[/C][C]481.033752552218[/C][C]2.9812474477821[/C][/ROW]
[ROW][C]131[/C][C]509.673[/C][C]503.005336128245[/C][C]6.66766387175505[/C][/ROW]
[ROW][C]132[/C][C]512.927[/C][C]493.169256867637[/C][C]19.7577431323631[/C][/ROW]
[ROW][C]133[/C][C]502.831[/C][C]501.890898112525[/C][C]0.940101887474782[/C][/ROW]
[ROW][C]134[/C][C]470.984[/C][C]497.648143114661[/C][C]-26.6641431146606[/C][/ROW]
[ROW][C]135[/C][C]471.067[/C][C]480.820401192114[/C][C]-9.75340119211432[/C][/ROW]
[ROW][C]136[/C][C]476.049[/C][C]473.015619164097[/C][C]3.03338083590324[/C][/ROW]
[ROW][C]137[/C][C]474.605[/C][C]462.103383201319[/C][C]12.5016167986806[/C][/ROW]
[ROW][C]138[/C][C]470.439[/C][C]457.013075406528[/C][C]13.4259245934724[/C][/ROW]
[ROW][C]139[/C][C]461.251[/C][C]460.158906208153[/C][C]1.09209379184693[/C][/ROW]
[ROW][C]140[/C][C]454.724[/C][C]449.960938850863[/C][C]4.76306114913666[/C][/ROW]
[ROW][C]141[/C][C]455.626[/C][C]453.052512160678[/C][C]2.57348783932213[/C][/ROW]
[ROW][C]142[/C][C]516.847[/C][C]507.419555028642[/C][C]9.4274449713576[/C][/ROW]
[ROW][C]143[/C][C]525.192[/C][C]538.027124771798[/C][C]-12.835124771798[/C][/ROW]
[ROW][C]144[/C][C]522.975[/C][C]513.166947891289[/C][C]9.80805210871142[/C][/ROW]
[ROW][C]145[/C][C]518.585[/C][C]511.588266886325[/C][C]6.99673311367468[/C][/ROW]
[ROW][C]146[/C][C]509.239[/C][C]510.948277371083[/C][C]-1.70927737108309[/C][/ROW]
[ROW][C]147[/C][C]512.238[/C][C]520.834429556373[/C][C]-8.59642955637298[/C][/ROW]
[ROW][C]148[/C][C]519.164[/C][C]518.004319272618[/C][C]1.15968072738201[/C][/ROW]
[ROW][C]149[/C][C]517.009[/C][C]508.884619118398[/C][C]8.12438088160201[/C][/ROW]
[ROW][C]150[/C][C]509.933[/C][C]502.188406040737[/C][C]7.74459395926255[/C][/ROW]
[ROW][C]151[/C][C]509.127[/C][C]500.84803301228[/C][C]8.2789669877198[/C][/ROW]
[ROW][C]152[/C][C]500.857[/C][C]499.817889937031[/C][C]1.03911006296875[/C][/ROW]
[ROW][C]153[/C][C]506.971[/C][C]501.432151414213[/C][C]5.53884858578738[/C][/ROW]
[ROW][C]154[/C][C]569.323[/C][C]561.442279371202[/C][C]7.88072062879814[/C][/ROW]
[ROW][C]155[/C][C]579.714[/C][C]590.599729077003[/C][C]-10.8857290770032[/C][/ROW]
[ROW][C]156[/C][C]577.992[/C][C]572.086890195588[/C][C]5.90510980441229[/C][/ROW]
[ROW][C]157[/C][C]565.464[/C][C]568.772321339048[/C][C]-3.30832133904835[/C][/ROW]
[ROW][C]158[/C][C]547.344[/C][C]559.37203624865[/C][C]-12.0280362486499[/C][/ROW]
[ROW][C]159[/C][C]554.788[/C][C]559.9945668951[/C][C]-5.2065668951002[/C][/ROW]
[ROW][C]160[/C][C]562.325[/C][C]562.126787682345[/C][C]0.198212317654907[/C][/ROW]
[ROW][C]161[/C][C]560.854[/C][C]553.712489472273[/C][C]7.14151052772718[/C][/ROW]
[ROW][C]162[/C][C]555.332[/C][C]546.897904142683[/C][C]8.4340958573174[/C][/ROW]
[ROW][C]163[/C][C]543.599[/C][C]547.080165380537[/C][C]-3.48116538053648[/C][/ROW]
[ROW][C]164[/C][C]536.662[/C][C]534.825754471712[/C][C]1.83624552828769[/C][/ROW]
[ROW][C]165[/C][C]542.722[/C][C]537.742690770371[/C][C]4.97930922962917[/C][/ROW]
[ROW][C]166[/C][C]593.53[/C][C]597.581495196113[/C][C]-4.05149519611325[/C][/ROW]
[ROW][C]167[/C][C]610.763[/C][C]613.433848523816[/C][C]-2.67084852381549[/C][/ROW]
[ROW][C]168[/C][C]612.613[/C][C]603.853150067609[/C][C]8.75984993239081[/C][/ROW]
[ROW][C]169[/C][C]611.324[/C][C]602.216285090016[/C][C]9.10771490998354[/C][/ROW]
[ROW][C]170[/C][C]594.167[/C][C]603.952415814623[/C][C]-9.78541581462343[/C][/ROW]
[ROW][C]171[/C][C]595.454[/C][C]608.276443770877[/C][C]-12.8224437708772[/C][/ROW]
[ROW][C]172[/C][C]590.865[/C][C]604.604866498507[/C][C]-13.7398664985075[/C][/ROW]
[ROW][C]173[/C][C]589.379[/C][C]583.946038925935[/C][C]5.43296107406547[/C][/ROW]
[ROW][C]174[/C][C]584.428[/C][C]575.202533696[/C][C]9.22546630399984[/C][/ROW]
[ROW][C]175[/C][C]573.1[/C][C]574.424224236608[/C][C]-1.32422423660773[/C][/ROW]
[ROW][C]176[/C][C]567.456[/C][C]564.315118441442[/C][C]3.14088155855779[/C][/ROW]
[ROW][C]177[/C][C]569.028[/C][C]568.477056361233[/C][C]0.550943638766967[/C][/ROW]
[ROW][C]178[/C][C]620.735[/C][C]622.889247771556[/C][C]-2.15424777155556[/C][/ROW]
[ROW][C]179[/C][C]628.884[/C][C]640.176425424625[/C][C]-11.2924254246248[/C][/ROW]
[ROW][C]180[/C][C]628.232[/C][C]623.021571398708[/C][C]5.21042860129228[/C][/ROW]
[ROW][C]181[/C][C]612.117[/C][C]617.022383801768[/C][C]-4.90538380176827[/C][/ROW]
[ROW][C]182[/C][C]595.404[/C][C]602.132027109441[/C][C]-6.72802710944075[/C][/ROW]
[ROW][C]183[/C][C]597.141[/C][C]606.977451664425[/C][C]-9.83645166442466[/C][/ROW]
[ROW][C]184[/C][C]593.408[/C][C]604.171856079604[/C][C]-10.7638560796042[/C][/ROW]
[ROW][C]185[/C][C]590.072[/C][C]586.589544884868[/C][C]3.48245511513187[/C][/ROW]
[ROW][C]186[/C][C]579.799[/C][C]574.814866231564[/C][C]4.98413376843621[/C][/ROW]
[ROW][C]187[/C][C]574.205[/C][C]567.222647675145[/C][C]6.98235232485513[/C][/ROW]
[ROW][C]188[/C][C]572.775[/C][C]563.639035376407[/C][C]9.13596462359249[/C][/ROW]
[ROW][C]189[/C][C]572.942[/C][C]571.928622670674[/C][C]1.01337732932598[/C][/ROW]
[ROW][C]190[/C][C]619.567[/C][C]625.512088740155[/C][C]-5.94508874015537[/C][/ROW]
[ROW][C]191[/C][C]625.809[/C][C]637.2498253436[/C][C]-11.4408253436001[/C][/ROW]
[ROW][C]192[/C][C]619.916[/C][C]620.395653348162[/C][C]-0.479653348161719[/C][/ROW]
[ROW][C]193[/C][C]587.625[/C][C]606.659129908907[/C][C]-19.0341299089074[/C][/ROW]
[ROW][C]194[/C][C]565.742[/C][C]576.355960343685[/C][C]-10.613960343685[/C][/ROW]
[ROW][C]195[/C][C]557.274[/C][C]574.615395245972[/C][C]-17.3413952459723[/C][/ROW]
[ROW][C]196[/C][C]560.576[/C][C]561.698969424592[/C][C]-1.12296942459216[/C][/ROW]
[ROW][C]197[/C][C]548.854[/C][C]551.582914055442[/C][C]-2.72891405544215[/C][/ROW]
[ROW][C]198[/C][C]531.673[/C][C]531.32955595116[/C][C]0.343444048839842[/C][/ROW]
[ROW][C]199[/C][C]525.919[/C][C]516.417795942811[/C][C]9.50120405718917[/C][/ROW]
[ROW][C]200[/C][C]511.038[/C][C]512.132798893109[/C][C]-1.09479889310933[/C][/ROW]
[ROW][C]201[/C][C]498.662[/C][C]506.552110907479[/C][C]-7.8901109074788[/C][/ROW]
[ROW][C]202[/C][C]555.362[/C][C]546.994283077102[/C][C]8.36771692289824[/C][/ROW]
[ROW][C]203[/C][C]564.591[/C][C]567.549688235404[/C][C]-2.95868823540377[/C][/ROW]
[ROW][C]204[/C][C]541.657[/C][C]556.483338104752[/C][C]-14.8263381047522[/C][/ROW]
[ROW][C]205[/C][C]527.07[/C][C]524.094241346788[/C][C]2.97575865321164[/C][/ROW]
[ROW][C]206[/C][C]509.846[/C][C]511.987766775687[/C][C]-2.14176677568696[/C][/ROW]
[ROW][C]207[/C][C]514.258[/C][C]515.29759167346[/C][C]-1.03959167345965[/C][/ROW]
[ROW][C]208[/C][C]516.922[/C][C]517.850163514505[/C][C]-0.928163514505172[/C][/ROW]
[ROW][C]209[/C][C]507.561[/C][C]506.935733736386[/C][C]0.625266263614094[/C][/ROW]
[ROW][C]210[/C][C]492.622[/C][C]489.415676020893[/C][C]3.2063239791068[/C][/ROW]
[ROW][C]211[/C][C]490.243[/C][C]477.595915323189[/C][C]12.6470846768111[/C][/ROW]
[ROW][C]212[/C][C]469.357[/C][C]474.871868704228[/C][C]-5.51486870422832[/C][/ROW]
[ROW][C]213[/C][C]477.58[/C][C]464.143043590932[/C][C]13.4369564090682[/C][/ROW]
[ROW][C]214[/C][C]528.379[/C][C]526.306407616408[/C][C]2.07259238359222[/C][/ROW]
[ROW][C]215[/C][C]533.59[/C][C]540.553248551442[/C][C]-6.96324855144178[/C][/ROW]
[ROW][C]216[/C][C]517.945[/C][C]524.921761573102[/C][C]-6.97676157310195[/C][/ROW]
[ROW][C]217[/C][C]506.174[/C][C]502.130389968794[/C][C]4.04361003120607[/C][/ROW]
[ROW][C]218[/C][C]501.866[/C][C]491.283057264677[/C][C]10.5829427353234[/C][/ROW]
[ROW][C]219[/C][C]516.141[/C][C]507.792403683336[/C][C]8.34859631666438[/C][/ROW]
[ROW][C]220[/C][C]528.222[/C][C]521.057945279555[/C][C]7.1640547204446[/C][/ROW]
[ROW][C]221[/C][C]532.638[/C][C]520.36532486779[/C][C]12.2726751322103[/C][/ROW]
[ROW][C]222[/C][C]536.322[/C][C]517.128663265785[/C][C]19.193336734215[/C][/ROW]
[ROW][C]223[/C][C]536.535[/C][C]525.230680960761[/C][C]11.304319039239[/C][/ROW]
[ROW][C]224[/C][C]523.597[/C][C]523.975408213961[/C][C]-0.378408213961279[/C][/ROW]
[ROW][C]225[/C][C]536.214[/C][C]524.618108449385[/C][C]11.5958915506154[/C][/ROW]
[ROW][C]226[/C][C]586.57[/C][C]588.702703040951[/C][C]-2.13270304095079[/C][/ROW]
[ROW][C]227[/C][C]596.594[/C][C]602.704738234382[/C][C]-6.11073823438164[/C][/ROW]
[ROW][C]228[/C][C]580.523[/C][C]592.341573140875[/C][C]-11.8185731408753[/C][/ROW]
[ROW][C]229[/C][C]564.478[/C][C]570.493930106294[/C][C]-6.01593010629426[/C][/ROW]
[ROW][C]230[/C][C]557.56[/C][C]554.78945584639[/C][C]2.77054415360999[/C][/ROW]
[ROW][C]231[/C][C]575.093[/C][C]567.067397400979[/C][C]8.02560259902077[/C][/ROW]
[ROW][C]232[/C][C]580.112[/C][C]582.920742267457[/C][C]-2.80874226745686[/C][/ROW]
[ROW][C]233[/C][C]574.761[/C][C]576.121387768952[/C][C]-1.36038776895225[/C][/ROW]
[ROW][C]234[/C][C]563.25[/C][C]562.778386126795[/C][C]0.471613873205229[/C][/ROW]
[ROW][C]235[/C][C]551.531[/C][C]553.482083137546[/C][C]-1.95108313754588[/C][/ROW]
[ROW][C]236[/C][C]537.034[/C][C]538.495183265509[/C][C]-1.46118326550936[/C][/ROW]
[ROW][C]237[/C][C]544.686[/C][C]538.665710324539[/C][C]6.02028967546119[/C][/ROW]
[ROW][C]238[/C][C]600.991[/C][C]595.283036109768[/C][C]5.70796389023235[/C][/ROW]
[ROW][C]239[/C][C]604.378[/C][C]615.37697328059[/C][C]-10.9989732805896[/C][/ROW]
[ROW][C]240[/C][C]586.111[/C][C]599.166029526849[/C][C]-13.0550295268491[/C][/ROW]
[ROW][C]241[/C][C]563.668[/C][C]575.833712357796[/C][C]-12.1657123577958[/C][/ROW]
[ROW][C]242[/C][C]548.604[/C][C]554.125351443082[/C][C]-5.52135144308181[/C][/ROW]
[ROW][C]243[/C][C]551.174[/C][C]557.575375641522[/C][C]-6.40137564152246[/C][/ROW]
[ROW][C]244[/C][C]555.654[/C][C]556.519548134066[/C][C]-0.865548134066103[/C][/ROW]
[ROW][C]245[/C][C]547.97[/C][C]548.896179783457[/C][C]-0.926179783456519[/C][/ROW]
[ROW][C]246[/C][C]540.324[/C][C]533.439324641575[/C][C]6.88467535842528[/C][/ROW]
[ROW][C]247[/C][C]530.577[/C][C]527.395613419255[/C][C]3.18138658074474[/C][/ROW]
[ROW][C]248[/C][C]520.579[/C][C]515.138782238703[/C][C]5.44021776129705[/C][/ROW]
[ROW][C]249[/C][C]518.654[/C][C]520.785743990519[/C][C]-2.13174399051854[/C][/ROW]
[ROW][C]250[/C][C]572.273[/C][C]568.025074860917[/C][C]4.24792513908346[/C][/ROW]
[ROW][C]251[/C][C]581.302[/C][C]583.010549395917[/C][C]-1.70854939591663[/C][/ROW]
[ROW][C]252[/C][C]563.28[/C][C]573.441889034151[/C][C]-10.1618890341514[/C][/ROW]
[ROW][C]253[/C][C]547.612[/C][C]551.485347145825[/C][C]-3.87334714582494[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148109&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148109&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13456.288438.23279994658118.0552000534188
14452.233451.4754057993620.757594200638096
15459.256460.1411608244-0.885160824399975
16461.146461.975273899563-0.829273899562565
17451.391452.125613791835-0.734613791835272
18443.101443.675981582031-0.574981582030716
19438.81438.5188158128550.291184187144779
20430.457432.28324677249-1.82624677248953
21435.721433.0996632769792.62133672302122
22488.28489.452168606836-1.17216860683641
23505.814506.323480226681-0.50948022668058
24502.338502.2750970644470.0629029355530406
25500.91506.029080529306-5.11908052930647
26501.434496.1723083067615.26169169323919
27515.476508.4994799498696.97652005013055
28520.862517.6991433846723.16285661532822
29519.517512.0003166908677.51668330913287
30511.805512.077151973217-0.272151973217376
31508.607508.390169775680.21683022432029
32505.327502.9800244378412.34697556215872
33511.435509.3757532055082.05924679449157
34570.158566.1821557387843.97584426121591
35591.665589.4275036361242.23749636387595
36593.572589.7645506301023.80744936989799
37586.346598.465671262663-12.1196712626632
38586.063585.0051485059451.0578514940554
39591.504595.095197535039-3.59119753503921
40594.033595.087457898479-1.05445789847874
41585.597586.439182994956-0.842182994955692
42572.45578.072277531943-5.62227753194338
43562.917569.131765550474-6.21476555047445
44554.675557.240743192924-2.56574319292429
45553.997557.956612127239-3.95961212723876
46601.31607.917361743316-6.60736174331578
47622.255619.1527549546793.10224504532096
48616.735618.163865531989-1.42886553198946
49606.48617.947112226068-11.4671122260676
50595.079603.840301986943-8.76130198694341
51598.588601.429319391149-2.84131939114911
52599.917599.1975658490030.719434150997245
53591.573589.1277011122712.44529888772945
54575.489580.411856992112-4.92285699211197
55567.223569.263015916167-2.04001591616702
56555.338558.989044430272-3.6510444302719
57555.252556.01287716391-0.760877163910436
58608.249606.2164637022.03253629800031
59630.859624.3976074805776.46139251942293
60628.632624.3901075210474.2418924789531
61624.435627.048839829426-2.61383982942596
62609.67620.542366142333-10.8723661423334
63615.83616.05856768276-0.228567682760286
64621.17615.9346132528215.23538674717895
65604.212609.794082646891-5.58208264689108
66584.348592.287322692678-7.93932269267782
67573.717577.689535315215-3.9725353152146
68555.234564.362048376862-9.12804837686235
69544.897555.240931557018-10.3439315570183
70598.866594.9713823795043.89461762049564
71620.081613.2574320193526.82356798064802
72607.699611.359654879308-3.66065487930791
73589.96603.712689756529-13.7526897565289
74578.665583.121096402722-4.45609640272221
75580.166582.662398706214-2.49639870621411
76579.457578.0844567677721.3725432322276
77571.56564.1621486407697.39785135923091
78560.46555.7197043459164.74029565408421
79551.397551.3822483236030.0147516763965996
80536.763539.839993733092-3.07699373309219
81540.562535.1523974069635.40960259303654
82588.184590.628128066151-2.4441280661506
83607.049603.2397927689813.80920723101849
84598.968597.107938650851.86006134914976
85577.644593.30198141709-15.6579814170898
86562.64571.703696451135-9.06369645113546
87565.867566.767739207471-0.900739207471133
88561.274563.587253077973-2.31325307797329
89554.144546.2897819737687.85421802623159
90539.9537.3514442266522.54855577334831
91526.271529.785230494937-3.51423049493735
92511.841513.745825103733-1.90482510373272
93505.282510.032027234138-4.75002723413758
94554.083553.9809777576630.102022242337398
95584.225568.07927963247116.1457203675287
96568.858572.21700941697-3.35900941697003
97539.516560.984233648855-21.4682336488555
98521.612533.47827132449-11.8662713244898
99525.562525.3141174345910.247882565409441
100526.519521.5682542348224.95074576517823
101515.713510.8463031491884.86669685081154
102503.454497.5104088772255.94359112277544
103489.301491.431408314737-2.13040831473717
104479.02475.9344894987943.08551050120593
105475.102475.883280741204-0.78128074120383
106523.682523.611419619830.0705803801697584
107551.528539.01795013867512.5100498613247
108531.626537.402224371416-5.77622437141622
109511.037521.494328101054-10.4573281010542
110492.417504.900617865214-12.4836178652145
111492.188497.405426652967-5.21742665296676
112492.865488.8650276736983.9999723263017
113480.961476.8633899269474.09761007305337
114461.935462.477940942065-0.542940942064774
115456.608448.8619619886047.74603801139619
116441.977442.526721560666-0.54972156066566
117439.148438.3343724331630.81362756683734
118488.18487.2041833912010.975816608798652
119520.564504.35937807174316.2046219282574
120501.492504.144893537288-2.65289353728787
121485.025490.700041015917-5.67504101591697
122464.196478.641235177104-14.4452351771038
123460.17470.42526191676-10.2552619167604
124467.037458.2653839535838.77161604641719
125460.07450.8575757185229.21242428147798
126447.988441.2312000309126.75679996908815
127442.867436.1192817033766.74771829662433
128436.087429.0895326583446.99746734165569
129431.328433.353644012171-2.02564401217131
130484.015481.0337525522182.9812474477821
131509.673503.0053361282456.66766387175505
132512.927493.16925686763719.7577431323631
133502.831501.8908981125250.940101887474782
134470.984497.648143114661-26.6641431146606
135471.067480.820401192114-9.75340119211432
136476.049473.0156191640973.03338083590324
137474.605462.10338320131912.5016167986806
138470.439457.01307540652813.4259245934724
139461.251460.1589062081531.09209379184693
140454.724449.9609388508634.76306114913666
141455.626453.0525121606782.57348783932213
142516.847507.4195550286429.4274449713576
143525.192538.027124771798-12.835124771798
144522.975513.1669478912899.80805210871142
145518.585511.5882668863256.99673311367468
146509.239510.948277371083-1.70927737108309
147512.238520.834429556373-8.59642955637298
148519.164518.0043192726181.15968072738201
149517.009508.8846191183988.12438088160201
150509.933502.1884060407377.74459395926255
151509.127500.848033012288.2789669877198
152500.857499.8178899370311.03911006296875
153506.971501.4321514142135.53884858578738
154569.323561.4422793712027.88072062879814
155579.714590.599729077003-10.8857290770032
156577.992572.0868901955885.90510980441229
157565.464568.772321339048-3.30832133904835
158547.344559.37203624865-12.0280362486499
159554.788559.9945668951-5.2065668951002
160562.325562.1267876823450.198212317654907
161560.854553.7124894722737.14151052772718
162555.332546.8979041426838.4340958573174
163543.599547.080165380537-3.48116538053648
164536.662534.8257544717121.83624552828769
165542.722537.7426907703714.97930922962917
166593.53597.581495196113-4.05149519611325
167610.763613.433848523816-2.67084852381549
168612.613603.8531500676098.75984993239081
169611.324602.2162850900169.10771490998354
170594.167603.952415814623-9.78541581462343
171595.454608.276443770877-12.8224437708772
172590.865604.604866498507-13.7398664985075
173589.379583.9460389259355.43296107406547
174584.428575.2025336969.22546630399984
175573.1574.424224236608-1.32422423660773
176567.456564.3151184414423.14088155855779
177569.028568.4770563612330.550943638766967
178620.735622.889247771556-2.15424777155556
179628.884640.176425424625-11.2924254246248
180628.232623.0215713987085.21042860129228
181612.117617.022383801768-4.90538380176827
182595.404602.132027109441-6.72802710944075
183597.141606.977451664425-9.83645166442466
184593.408604.171856079604-10.7638560796042
185590.072586.5895448848683.48245511513187
186579.799574.8148662315644.98413376843621
187574.205567.2226476751456.98235232485513
188572.775563.6390353764079.13596462359249
189572.942571.9286226706741.01337732932598
190619.567625.512088740155-5.94508874015537
191625.809637.2498253436-11.4408253436001
192619.916620.395653348162-0.479653348161719
193587.625606.659129908907-19.0341299089074
194565.742576.355960343685-10.613960343685
195557.274574.615395245972-17.3413952459723
196560.576561.698969424592-1.12296942459216
197548.854551.582914055442-2.72891405544215
198531.673531.329555951160.343444048839842
199525.919516.4177959428119.50120405718917
200511.038512.132798893109-1.09479889310933
201498.662506.552110907479-7.8901109074788
202555.362546.9942830771028.36771692289824
203564.591567.549688235404-2.95868823540377
204541.657556.483338104752-14.8263381047522
205527.07524.0942413467882.97575865321164
206509.846511.987766775687-2.14176677568696
207514.258515.29759167346-1.03959167345965
208516.922517.850163514505-0.928163514505172
209507.561506.9357337363860.625266263614094
210492.622489.4156760208933.2063239791068
211490.243477.59591532318912.6470846768111
212469.357474.871868704228-5.51486870422832
213477.58464.14304359093213.4369564090682
214528.379526.3064076164082.07259238359222
215533.59540.553248551442-6.96324855144178
216517.945524.921761573102-6.97676157310195
217506.174502.1303899687944.04361003120607
218501.866491.28305726467710.5829427353234
219516.141507.7924036833368.34859631666438
220528.222521.0579452795557.1640547204446
221532.638520.3653248677912.2726751322103
222536.322517.12866326578519.193336734215
223536.535525.23068096076111.304319039239
224523.597523.975408213961-0.378408213961279
225536.214524.61810844938511.5958915506154
226586.57588.702703040951-2.13270304095079
227596.594602.704738234382-6.11073823438164
228580.523592.341573140875-11.8185731408753
229564.478570.493930106294-6.01593010629426
230557.56554.789455846392.77054415360999
231575.093567.0673974009798.02560259902077
232580.112582.920742267457-2.80874226745686
233574.761576.121387768952-1.36038776895225
234563.25562.7783861267950.471613873205229
235551.531553.482083137546-1.95108313754588
236537.034538.495183265509-1.46118326550936
237544.686538.6657103245396.02028967546119
238600.991595.2830361097685.70796389023235
239604.378615.37697328059-10.9989732805896
240586.111599.166029526849-13.0550295268491
241563.668575.833712357796-12.1657123577958
242548.604554.125351443082-5.52135144308181
243551.174557.575375641522-6.40137564152246
244555.654556.519548134066-0.865548134066103
245547.97548.896179783457-0.926179783456519
246540.324533.4393246415756.88467535842528
247530.577527.3956134192553.18138658074474
248520.579515.1387822387035.44021776129705
249518.654520.785743990519-2.13174399051854
250572.273568.0250748609174.24792513908346
251581.302583.010549395917-1.70854939591663
252563.28573.441889034151-10.1618890341514
253547.612551.485347145825-3.87334714582494






Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
254537.129762804494522.547421755807551.712103853181
255545.043250588145524.782900770598565.303600405693
256550.307236598721525.087506152801575.52696704464
257543.518306917293513.666673080785573.369940753802
258529.804355071733495.488851626435564.119858517031
259516.869495746011478.176443515758555.562547976265
260501.44458181494458.412827604612544.476336025267
261500.545881048766453.184411472522547.907350625009
262549.593870025394497.891845248353601.295894802436
263559.130337414344503.063236076451615.197438752237
264549.328732507785488.862324108351609.795140907219
265536.890534304433471.983556805331601.797511803535

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
254 & 537.129762804494 & 522.547421755807 & 551.712103853181 \tabularnewline
255 & 545.043250588145 & 524.782900770598 & 565.303600405693 \tabularnewline
256 & 550.307236598721 & 525.087506152801 & 575.52696704464 \tabularnewline
257 & 543.518306917293 & 513.666673080785 & 573.369940753802 \tabularnewline
258 & 529.804355071733 & 495.488851626435 & 564.119858517031 \tabularnewline
259 & 516.869495746011 & 478.176443515758 & 555.562547976265 \tabularnewline
260 & 501.44458181494 & 458.412827604612 & 544.476336025267 \tabularnewline
261 & 500.545881048766 & 453.184411472522 & 547.907350625009 \tabularnewline
262 & 549.593870025394 & 497.891845248353 & 601.295894802436 \tabularnewline
263 & 559.130337414344 & 503.063236076451 & 615.197438752237 \tabularnewline
264 & 549.328732507785 & 488.862324108351 & 609.795140907219 \tabularnewline
265 & 536.890534304433 & 471.983556805331 & 601.797511803535 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148109&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]254[/C][C]537.129762804494[/C][C]522.547421755807[/C][C]551.712103853181[/C][/ROW]
[ROW][C]255[/C][C]545.043250588145[/C][C]524.782900770598[/C][C]565.303600405693[/C][/ROW]
[ROW][C]256[/C][C]550.307236598721[/C][C]525.087506152801[/C][C]575.52696704464[/C][/ROW]
[ROW][C]257[/C][C]543.518306917293[/C][C]513.666673080785[/C][C]573.369940753802[/C][/ROW]
[ROW][C]258[/C][C]529.804355071733[/C][C]495.488851626435[/C][C]564.119858517031[/C][/ROW]
[ROW][C]259[/C][C]516.869495746011[/C][C]478.176443515758[/C][C]555.562547976265[/C][/ROW]
[ROW][C]260[/C][C]501.44458181494[/C][C]458.412827604612[/C][C]544.476336025267[/C][/ROW]
[ROW][C]261[/C][C]500.545881048766[/C][C]453.184411472522[/C][C]547.907350625009[/C][/ROW]
[ROW][C]262[/C][C]549.593870025394[/C][C]497.891845248353[/C][C]601.295894802436[/C][/ROW]
[ROW][C]263[/C][C]559.130337414344[/C][C]503.063236076451[/C][C]615.197438752237[/C][/ROW]
[ROW][C]264[/C][C]549.328732507785[/C][C]488.862324108351[/C][C]609.795140907219[/C][/ROW]
[ROW][C]265[/C][C]536.890534304433[/C][C]471.983556805331[/C][C]601.797511803535[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148109&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148109&T=3

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
254537.129762804494522.547421755807551.712103853181
255545.043250588145524.782900770598565.303600405693
256550.307236598721525.087506152801575.52696704464
257543.518306917293513.666673080785573.369940753802
258529.804355071733495.488851626435564.119858517031
259516.869495746011478.176443515758555.562547976265
260501.44458181494458.412827604612544.476336025267
261500.545881048766453.184411472522547.907350625009
262549.593870025394497.891845248353601.295894802436
263559.130337414344503.063236076451615.197438752237
264549.328732507785488.862324108351609.795140907219
265536.890534304433471.983556805331601.797511803535


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
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')