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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 05:31:38 -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/t1322562723a1zrsn4xct54d55.htm/, Retrieved Fri, 19 Apr 2024 22:20:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148171, Retrieved Fri, 19 Apr 2024 22:20:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Triple Exponentia...] [2011-11-29 10:31:38] [10a6f28c51bb1cb94db47cee32729d66] [Current]
- R       [Exponential Smoothing] [Paper - Triple Ex...] [2011-12-20 10:35:38] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
348542
335658
330664
326814
322900
322310
385164
404861
412136
411057
410040
414980
413626
411062
408352
409780
411318
415555
479481
497826
501638
497990
499287
506247
510401
508642
501805
495476
490336
490042
553155
569999
573170
571687
575453
580177
579849
574346
563325
555604
545544
545109
605181
627856
631421
625671
613577
606463
601676
589121
573559
558487
552148
545720
606569
636067
630704
623275
617771
605401
619393
596019
569977
546213
528492
505944
554910
567831
564021
552800
541102
542378
540380
521219
504652
490626
481686
477930
522605
531432
532355
539954
524987
533307
530541
508392
495208
482223
470495
466106
515037
517752
515565
510727
499725
498369
493756
476141
458458
443182
429597
424476
476257
480555
469762
459820
451028
450065
444385
428846
421020
399778
389005
384018
431933
445844
431464
423263
415881
416208
413491
399153
385939
373917
364635
364696
418358
428212
423730
420677
417428
423245
423113
418873
405733
397812
389918
391116
443814
460373
455422
456288
452233
459256
461146
451391
443101
438810
430457
435721
488280
505814
502338
500910
501434
515476
520862
519517
511805
508607
505327
511435
570158
591665
593572
586346
586063
591504
594033
585597
572450
562917
554675
553997
601310
622255
616735
606480
595079
598588
599917
591573
575489
567223
555338
555252
608249
630859
628632
624435
609670
615830
621170
604212
584348
573717
555234
544897
598866
620081
607699
589960
578665
580166
579457
571560
560460
551397
536763
540562
588184
607049
598968
577644
562640
565867
561274
554144
539900
526271
511841
505282
554083
584225
568858
539516
521612
525562
526519
515713
503454
489301
479020
475102
523682
551528
531626
511037
492417
492188
492865
480961
461935
456608
441977
439148
488180
520564
501492
485025
464196
460170
467037
460070
447988
442867
436087
431328
484015
509673
512927
502831
470984
471067
476049
474605
470439
461251
454724
455626
516847
525192
522975
518585
509239
512238
519164
517009
509933
509127
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148171&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148171&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148171&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.928530306233223
beta0.083373495684329
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.928530306233223 \tabularnewline
beta & 0.083373495684329 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148171&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]0.928530306233223[/C][/ROW]
[ROW][C]beta[/C][C]0.083373495684329[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148171&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148171&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
alpha0.928530306233223
beta0.083373495684329
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13413626370941.66239316242684.3376068376
14411062410826.799798205235.200201795436
15408352411369.4596299-3017.4596299
16409780413047.663478832-3267.66347883153
17411318414361.204899496-3043.20489949576
18415555418165.990428387-2610.99042838684
19479481474135.0958450415345.90415495919
20497826503068.896220254-5242.89622025355
21501638508817.630019806-7179.63001980598
22497990503543.154710481-5553.15471048077
23499287498963.931226523323.06877347664
24506247505394.677977085852.322022914712
25510401508893.6796339921507.32036600768
26508642505834.7593122772807.24068772269
27501805507056.161679328-5251.16167932772
28495476504992.493448759-9516.49344875937
29490336498386.166779145-8050.16677914467
30490042495051.431585848-5009.43158584816
31553155546655.2185241776499.78147582256
32569999573286.00784839-3287.00784839038
33573170578246.197453661-5076.19745366066
34571687572737.67551798-1050.67551798001
35575453570804.2797118244648.72028817562
36580177579669.387479617507.612520382507
37579849581248.47974832-1399.47974832053
38574346573711.734234049634.265765951248
39563325570299.633425615-6974.6334256155
40555604564157.506684126-8553.50668412587
41545544556451.368965452-10907.3689654521
42545109548360.994215907-3251.99421590695
43605181600235.2654914564945.73450854386
44627856622419.4005558615436.59944413858
45631421633722.971827639-2301.97182763857
46625671629663.992201424-3992.9922014242
47613577623764.008267442-10187.0082674423
48606463615767.331544332-9304.3315443322
49601676604549.450018621-2873.45001862128
50589121592125.335400716-3004.33540071559
51573559580845.101590137-7286.10159013735
52558487570331.037527597-11844.0375275973
53552148555176.688433509-3028.68843350874
54545720551334.337288141-5614.33728814148
55606569597803.4128992788765.58710072166
56636067620067.61432907215999.3856709281
57630704637941.831081102-7237.83108110167
58623275626112.642868668-2837.64286866784
59617771617865.935556923-94.9355569228064
60605401617107.598984121-11706.5989841206
61619393601737.24152557917655.7584744206
62596019607573.518802152-11554.5188021518
63569977586594.007157595-16617.0071575955
64546213564913.652950435-18700.6529504347
65528492541315.448051794-12823.4480517944
66505944524727.999812183-18783.9998121825
67554910555511.276004212-601.276004211511
68567831564384.8271025633446.17289743712
69564021562760.2124801541260.787519846
70552800553612.612203298-812.612203298137
71541102542074.877965835-972.87796583469
72542378534236.1477573948141.85224260576
73540380535495.4462468894884.5537531107
74521219522498.19159472-1279.19159472012
75504652506605.849030474-1953.84903047362
76490626495434.940566995-4808.9405669953
77481686483274.254599098-1588.25459909847
78477930475681.3965611342248.6034388665
79522605527910.202528363-5305.20252836286
80531432532957.738146199-1525.73814619903
81532355526427.9179521285927.08204787178
82539954521693.72199422718260.2780057731
83524987529559.608187859-4572.6081878586
84533307520456.49188213912850.5081178608
85530541527646.2871944072894.71280559292
86508392513998.006018179-5606.0060181793
87495208495342.030115875-134.030115874601
88482223487099.869641688-4876.86964168755
89470495476544.075685211-6049.07568521117
90466106466175.880273018-69.880273018207
91515037516625.00178253-1588.00178253005
92517752526594.920659021-8842.9206590209
93515565514437.799723631127.20027636952
94510727506390.9100426724336.08995732822
95499725498880.660013083844.339986917097
96498369495656.6748495382712.32515046216
97493756491540.5826080392215.41739196132
98476141475420.683975548720.316024452157
99458458462286.394018413-3828.39401841321
100443182449245.360662311-6063.36066231091
101429597436382.669894688-6785.66989468795
102424476424579.405660936-103.405660935969
103476257473707.8527508212549.14724917925
104480555486139.964289895-5584.9642898952
105469762477111.961403009-7349.96140300931
106459820460158.2959639-338.29596390028
107451028446431.5033185674596.49668143288
108450065445488.8068891174576.1931108826
109444385441875.9428902192509.05710978067
110428846424752.6594629754093.34053702495
111421020413517.1684176537502.83158234728
112399778410806.932160724-11028.9321607243
113389005392866.668841903-3861.66884190292
114384018384067.102879875-49.1028798751649
115431933433250.848032059-1317.84803205868
116445844441026.9312039744817.06879602582
117431464441852.595379689-10388.5953796892
118423263422664.560389776598.43961022445
119415881410318.733050975562.2669490297
120416208410504.5872407295703.41275927145
121413491408111.1615203625379.83847963763
122399153394309.473114954843.52688504971
123385939384615.0629151741323.93708482553
124373917374965.573194026-1048.57319402642
125364635367699.742240622-3064.742240622
126364696360869.4481120913826.55188790907
127418358414818.0308622183539.96913778153
128428212429176.123672064-964.123672064277
129423730424732.399859706-1002.39985970629
130420677416956.9710963423720.02890365769
131417428410018.0537051977409.94629480323
132423245414226.3160361339018.68396386673
133423113417441.4396877315671.56031226943
134418873406448.22275169712424.7772483031
135405733406704.519313493-971.519313493161
136397812397739.19388402972.8061159705394
137389918394442.441702255-4524.44170225493
138391116389708.2277810881407.77221891191
139443814444162.105650922-348.105650921818
140460373457058.7897804853314.21021951456
141455422459386.792224314-3964.79222431395
142456288451770.7690098824517.23099011782
143452233448470.0765370663762.92346293404
144459256451758.8913776637497.10862233734
145461146455556.1235797245589.87642027612
146451391447197.5427478834193.45725211711
147443101440443.9856119972657.0143880031
148438810436794.0091763782015.99082362221
149430457436994.93814818-6537.93814818008
150435721432681.1699635793039.83003642136
151488280490517.381078699-2237.38107869937
152505814503767.7125519312046.28744806937
153502338506146.178432435-3808.17843243503
154500910501041.903931422-131.903931422217
155501434494770.6471864546663.35281354643
156515476502644.22438702212831.7756129785
157520862513296.2742705547565.72572944564
158519517508863.21477456810653.785225432
159511805510689.2709820941115.72901790612
160508607508133.844419303473.155580696592
161505327508742.912925036-3415.91292503622
162511435510706.306447516728.693552483746
163570158568534.226935491623.77306450973
164591665588489.6503711643175.3496288365
165593572594399.214808759-827.214808759047
166586346595457.515330013-9111.51533001289
167586063583770.8349475412292.16505245899
168591504590124.8551891661379.14481083432
169594033590978.1920540253054.80794597452
170585597583439.8642165542157.13578344637
171572450576899.628256617-4449.62825661746
172562917568904.619452164-5987.61945216428
173554675562510.497462571-7835.49746257102
174553997559598.030685997-5601.03068599687
175601310610054.211129721-8744.21112972079
176622255618132.5318070424122.46819295781
177616735622347.777569787-5612.77756978676
178606480615712.303235441-9232.30323544063
179595079602060.976014971-6981.97601497103
180598588596352.9568441882235.04315581231
181599917594801.5745167515115.42548324866
182591573585952.7526123915620.24738760933
183575489579264.349935558-3775.34993555781
184567223568946.120967941-1723.12096794078
185555338563870.394898768-8532.39489876817
186555252557907.331313233-2655.33131323324
187608249608538.878457776-289.878457776154
188630859623706.2091955957152.79080440488
189628632628593.34650382638.6534961741418
190624435625938.135497878-1503.13549787772
191609670619214.18177166-9544.18177165987
192615830611177.2385622084652.76143779221
193621170611655.2323135579514.76768644305
194604212606846.578052115-2634.5780521147
195584348591101.939126499-6753.939126499
196573717577214.204870675-3497.20487067488
197555234568916.723897425-13682.7238974249
198544897557104.936392903-12207.9363929032
199598866596809.625938632056.37406137027
200620081612643.0507799947437.94922000647
201607699615264.198831516-7565.19883151609
202589960602827.416195001-12867.4161950009
203578665581485.955489331-2820.95548933069
204580166577736.1233289282429.87667107163
205579457573355.2435929426101.75640705775
206571560561102.6335465710457.3664534298
207560460554826.801524625633.19847537973
208551397551239.554873353157.445126646664
209536763544456.392451876-7693.3924518762
210540562537623.7675169052938.23248309514
211588184592896.621883296-4712.62188329617
212607049602790.4498862754258.55011372489
213598968601102.028024154-2134.02802415402
214577644593464.626235032-15820.6262350321
215562640570005.737766049-7365.73776604887
216565867561966.0791920253900.92080797546
217561274558882.283551622391.7164483798
218554144542877.61792859911266.3820714012
219539900536452.3642606223447.63573937828
220526271529719.375660071-3448.37566007068
221511841518022.828145907-6181.82814590714
222505282512466.418676225-7184.41867622524
223554083556122.480470264-2039.48047026398
224584225567675.70898515716549.2910148429
225568858576430.363179148-7572.36317914829
226539516561831.743922162-22315.7439221623
227521612531510.010299423-9898.01029942278
228525562520292.0493281855269.95067181543
229526519516845.3249857219673.6750142792
230515713507273.9276601438439.07233985746
231503454496483.2315944156970.76840558526
232489301491620.069075782-2319.06907578232
233479020479955.529452568-935.52945256763
234475102478783.725247313-3681.72524731292
235523682525915.924344341-2233.92434434069
236551528538458.15994058313069.8400594174
237531626541829.730480122-10203.7304801224
238511037523102.05445634-12065.0544563403
239492417503347.395961512-10930.395961512
240492188492336.4688732-148.468873200356
241492865483835.4303736049029.56962639635
242480961473189.9814709747771.0185290256
243461935461234.577170394700.422829605523
244456608448960.3884629147647.61153708602
245441977446495.785303943-4518.78530394274
246439148441369.842884971-2221.84288497083
247488180489643.370624508-1463.37062450766
248520564503736.80607155816827.1939284418
249501492508966.675468333-7474.6754683333
250485025492884.087649347-7859.08764934714
251464196477685.60082322-13489.6008232195
252460170465440.54543715-5270.54543714999
253467037452814.5205446914222.4794553096
254460070447277.97102748312792.0289725173
255447988440245.1678825167742.83211748413
256442867436317.5440071346549.45599286648
257436087433189.6889068442897.31109315599
258431328436914.041685722-5586.0416857219
259484015483657.640994542357.359005458304
260509673502429.4759136647243.52408633556
261512927497962.42798552414964.5720144765
262502831505363.675662956-2532.67566295643
263470984497796.643929557-26812.6439295569
264471067475824.882861314-4757.88286131434
265476049467164.4591485978884.54085140285
266474605458252.42038571316352.579614287
267470439456123.65362238614315.3463776138
268461251460681.149948215569.850051785295
269454724453744.753480902979.246519097767
270455626456938.057575496-1312.05757549551
271516847510262.0584134186584.94158658216
272525192537977.756499164-12785.7564991644
273522975516583.3842614716391.61573852896
274518585515228.8342391953356.16576080531
275509239512305.346873453-3066.34687345271
276512238516708.163088453-4470.16308845294
277519164512061.3633094127102.63669058756
278517009504662.01274834212346.9872516576
279509933500991.7412192038941.25878079655
280509127501484.2234923917642.7765076086
281500857503599.437906277-2742.43790627678
282506971505340.0977722591630.90222774103
283569323564355.7621378724967.23786212772
284579714591454.361238725-11740.3612387246
285577992574751.6059967073240.39400329255
286565464572360.492049066-6896.49204906623
287547344560770.76218102-13426.7621810203
288554788555963.914827527-1175.91482752748
289562325555968.6788238336356.32117616665
290560854548959.03791147411894.9620885255
291555332545298.5215960810033.4784039201
292543599547469.795390504-3870.79539050371
293536662538018.194833634-1356.19483363361
294542722541332.0140024381389.9859975623
295593530600317.206065123-6787.20606512297
296610763614352.17145605-3589.17145605024
297612613605964.5465186766648.45348132425
298611324605953.1068124015370.89318759856
299594167606176.644769819-12009.6447698188
300595454604560.249336117-9106.2493361173
301590865598124.909751922-7259.90975192178
302589379578199.05845272511179.9415472753
303584428573017.25875828611410.7412417139
304573100574855.923730299-1755.92373029911
305567456567093.780822221362.21917777881
306569028571878.516376112-2850.51637611212
307620735625692.622535116-4957.62253511592
308628884641147.381587166-12263.3815871663
309628232624258.064537073973.93546293036
310612117620285.79458643-8168.7945864303
311595404604260.815558894-8856.81555889372
312597141603589.173253838-6448.17325383751

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 413626 & 370941.662393162 & 42684.3376068376 \tabularnewline
14 & 411062 & 410826.799798205 & 235.200201795436 \tabularnewline
15 & 408352 & 411369.4596299 & -3017.4596299 \tabularnewline
16 & 409780 & 413047.663478832 & -3267.66347883153 \tabularnewline
17 & 411318 & 414361.204899496 & -3043.20489949576 \tabularnewline
18 & 415555 & 418165.990428387 & -2610.99042838684 \tabularnewline
19 & 479481 & 474135.095845041 & 5345.90415495919 \tabularnewline
20 & 497826 & 503068.896220254 & -5242.89622025355 \tabularnewline
21 & 501638 & 508817.630019806 & -7179.63001980598 \tabularnewline
22 & 497990 & 503543.154710481 & -5553.15471048077 \tabularnewline
23 & 499287 & 498963.931226523 & 323.06877347664 \tabularnewline
24 & 506247 & 505394.677977085 & 852.322022914712 \tabularnewline
25 & 510401 & 508893.679633992 & 1507.32036600768 \tabularnewline
26 & 508642 & 505834.759312277 & 2807.24068772269 \tabularnewline
27 & 501805 & 507056.161679328 & -5251.16167932772 \tabularnewline
28 & 495476 & 504992.493448759 & -9516.49344875937 \tabularnewline
29 & 490336 & 498386.166779145 & -8050.16677914467 \tabularnewline
30 & 490042 & 495051.431585848 & -5009.43158584816 \tabularnewline
31 & 553155 & 546655.218524177 & 6499.78147582256 \tabularnewline
32 & 569999 & 573286.00784839 & -3287.00784839038 \tabularnewline
33 & 573170 & 578246.197453661 & -5076.19745366066 \tabularnewline
34 & 571687 & 572737.67551798 & -1050.67551798001 \tabularnewline
35 & 575453 & 570804.279711824 & 4648.72028817562 \tabularnewline
36 & 580177 & 579669.387479617 & 507.612520382507 \tabularnewline
37 & 579849 & 581248.47974832 & -1399.47974832053 \tabularnewline
38 & 574346 & 573711.734234049 & 634.265765951248 \tabularnewline
39 & 563325 & 570299.633425615 & -6974.6334256155 \tabularnewline
40 & 555604 & 564157.506684126 & -8553.50668412587 \tabularnewline
41 & 545544 & 556451.368965452 & -10907.3689654521 \tabularnewline
42 & 545109 & 548360.994215907 & -3251.99421590695 \tabularnewline
43 & 605181 & 600235.265491456 & 4945.73450854386 \tabularnewline
44 & 627856 & 622419.400555861 & 5436.59944413858 \tabularnewline
45 & 631421 & 633722.971827639 & -2301.97182763857 \tabularnewline
46 & 625671 & 629663.992201424 & -3992.9922014242 \tabularnewline
47 & 613577 & 623764.008267442 & -10187.0082674423 \tabularnewline
48 & 606463 & 615767.331544332 & -9304.3315443322 \tabularnewline
49 & 601676 & 604549.450018621 & -2873.45001862128 \tabularnewline
50 & 589121 & 592125.335400716 & -3004.33540071559 \tabularnewline
51 & 573559 & 580845.101590137 & -7286.10159013735 \tabularnewline
52 & 558487 & 570331.037527597 & -11844.0375275973 \tabularnewline
53 & 552148 & 555176.688433509 & -3028.68843350874 \tabularnewline
54 & 545720 & 551334.337288141 & -5614.33728814148 \tabularnewline
55 & 606569 & 597803.412899278 & 8765.58710072166 \tabularnewline
56 & 636067 & 620067.614329072 & 15999.3856709281 \tabularnewline
57 & 630704 & 637941.831081102 & -7237.83108110167 \tabularnewline
58 & 623275 & 626112.642868668 & -2837.64286866784 \tabularnewline
59 & 617771 & 617865.935556923 & -94.9355569228064 \tabularnewline
60 & 605401 & 617107.598984121 & -11706.5989841206 \tabularnewline
61 & 619393 & 601737.241525579 & 17655.7584744206 \tabularnewline
62 & 596019 & 607573.518802152 & -11554.5188021518 \tabularnewline
63 & 569977 & 586594.007157595 & -16617.0071575955 \tabularnewline
64 & 546213 & 564913.652950435 & -18700.6529504347 \tabularnewline
65 & 528492 & 541315.448051794 & -12823.4480517944 \tabularnewline
66 & 505944 & 524727.999812183 & -18783.9998121825 \tabularnewline
67 & 554910 & 555511.276004212 & -601.276004211511 \tabularnewline
68 & 567831 & 564384.827102563 & 3446.17289743712 \tabularnewline
69 & 564021 & 562760.212480154 & 1260.787519846 \tabularnewline
70 & 552800 & 553612.612203298 & -812.612203298137 \tabularnewline
71 & 541102 & 542074.877965835 & -972.87796583469 \tabularnewline
72 & 542378 & 534236.147757394 & 8141.85224260576 \tabularnewline
73 & 540380 & 535495.446246889 & 4884.5537531107 \tabularnewline
74 & 521219 & 522498.19159472 & -1279.19159472012 \tabularnewline
75 & 504652 & 506605.849030474 & -1953.84903047362 \tabularnewline
76 & 490626 & 495434.940566995 & -4808.9405669953 \tabularnewline
77 & 481686 & 483274.254599098 & -1588.25459909847 \tabularnewline
78 & 477930 & 475681.396561134 & 2248.6034388665 \tabularnewline
79 & 522605 & 527910.202528363 & -5305.20252836286 \tabularnewline
80 & 531432 & 532957.738146199 & -1525.73814619903 \tabularnewline
81 & 532355 & 526427.917952128 & 5927.08204787178 \tabularnewline
82 & 539954 & 521693.721994227 & 18260.2780057731 \tabularnewline
83 & 524987 & 529559.608187859 & -4572.6081878586 \tabularnewline
84 & 533307 & 520456.491882139 & 12850.5081178608 \tabularnewline
85 & 530541 & 527646.287194407 & 2894.71280559292 \tabularnewline
86 & 508392 & 513998.006018179 & -5606.0060181793 \tabularnewline
87 & 495208 & 495342.030115875 & -134.030115874601 \tabularnewline
88 & 482223 & 487099.869641688 & -4876.86964168755 \tabularnewline
89 & 470495 & 476544.075685211 & -6049.07568521117 \tabularnewline
90 & 466106 & 466175.880273018 & -69.880273018207 \tabularnewline
91 & 515037 & 516625.00178253 & -1588.00178253005 \tabularnewline
92 & 517752 & 526594.920659021 & -8842.9206590209 \tabularnewline
93 & 515565 & 514437.79972363 & 1127.20027636952 \tabularnewline
94 & 510727 & 506390.910042672 & 4336.08995732822 \tabularnewline
95 & 499725 & 498880.660013083 & 844.339986917097 \tabularnewline
96 & 498369 & 495656.674849538 & 2712.32515046216 \tabularnewline
97 & 493756 & 491540.582608039 & 2215.41739196132 \tabularnewline
98 & 476141 & 475420.683975548 & 720.316024452157 \tabularnewline
99 & 458458 & 462286.394018413 & -3828.39401841321 \tabularnewline
100 & 443182 & 449245.360662311 & -6063.36066231091 \tabularnewline
101 & 429597 & 436382.669894688 & -6785.66989468795 \tabularnewline
102 & 424476 & 424579.405660936 & -103.405660935969 \tabularnewline
103 & 476257 & 473707.852750821 & 2549.14724917925 \tabularnewline
104 & 480555 & 486139.964289895 & -5584.9642898952 \tabularnewline
105 & 469762 & 477111.961403009 & -7349.96140300931 \tabularnewline
106 & 459820 & 460158.2959639 & -338.29596390028 \tabularnewline
107 & 451028 & 446431.503318567 & 4596.49668143288 \tabularnewline
108 & 450065 & 445488.806889117 & 4576.1931108826 \tabularnewline
109 & 444385 & 441875.942890219 & 2509.05710978067 \tabularnewline
110 & 428846 & 424752.659462975 & 4093.34053702495 \tabularnewline
111 & 421020 & 413517.168417653 & 7502.83158234728 \tabularnewline
112 & 399778 & 410806.932160724 & -11028.9321607243 \tabularnewline
113 & 389005 & 392866.668841903 & -3861.66884190292 \tabularnewline
114 & 384018 & 384067.102879875 & -49.1028798751649 \tabularnewline
115 & 431933 & 433250.848032059 & -1317.84803205868 \tabularnewline
116 & 445844 & 441026.931203974 & 4817.06879602582 \tabularnewline
117 & 431464 & 441852.595379689 & -10388.5953796892 \tabularnewline
118 & 423263 & 422664.560389776 & 598.43961022445 \tabularnewline
119 & 415881 & 410318.73305097 & 5562.2669490297 \tabularnewline
120 & 416208 & 410504.587240729 & 5703.41275927145 \tabularnewline
121 & 413491 & 408111.161520362 & 5379.83847963763 \tabularnewline
122 & 399153 & 394309.47311495 & 4843.52688504971 \tabularnewline
123 & 385939 & 384615.062915174 & 1323.93708482553 \tabularnewline
124 & 373917 & 374965.573194026 & -1048.57319402642 \tabularnewline
125 & 364635 & 367699.742240622 & -3064.742240622 \tabularnewline
126 & 364696 & 360869.448112091 & 3826.55188790907 \tabularnewline
127 & 418358 & 414818.030862218 & 3539.96913778153 \tabularnewline
128 & 428212 & 429176.123672064 & -964.123672064277 \tabularnewline
129 & 423730 & 424732.399859706 & -1002.39985970629 \tabularnewline
130 & 420677 & 416956.971096342 & 3720.02890365769 \tabularnewline
131 & 417428 & 410018.053705197 & 7409.94629480323 \tabularnewline
132 & 423245 & 414226.316036133 & 9018.68396386673 \tabularnewline
133 & 423113 & 417441.439687731 & 5671.56031226943 \tabularnewline
134 & 418873 & 406448.222751697 & 12424.7772483031 \tabularnewline
135 & 405733 & 406704.519313493 & -971.519313493161 \tabularnewline
136 & 397812 & 397739.193884029 & 72.8061159705394 \tabularnewline
137 & 389918 & 394442.441702255 & -4524.44170225493 \tabularnewline
138 & 391116 & 389708.227781088 & 1407.77221891191 \tabularnewline
139 & 443814 & 444162.105650922 & -348.105650921818 \tabularnewline
140 & 460373 & 457058.789780485 & 3314.21021951456 \tabularnewline
141 & 455422 & 459386.792224314 & -3964.79222431395 \tabularnewline
142 & 456288 & 451770.769009882 & 4517.23099011782 \tabularnewline
143 & 452233 & 448470.076537066 & 3762.92346293404 \tabularnewline
144 & 459256 & 451758.891377663 & 7497.10862233734 \tabularnewline
145 & 461146 & 455556.123579724 & 5589.87642027612 \tabularnewline
146 & 451391 & 447197.542747883 & 4193.45725211711 \tabularnewline
147 & 443101 & 440443.985611997 & 2657.0143880031 \tabularnewline
148 & 438810 & 436794.009176378 & 2015.99082362221 \tabularnewline
149 & 430457 & 436994.93814818 & -6537.93814818008 \tabularnewline
150 & 435721 & 432681.169963579 & 3039.83003642136 \tabularnewline
151 & 488280 & 490517.381078699 & -2237.38107869937 \tabularnewline
152 & 505814 & 503767.712551931 & 2046.28744806937 \tabularnewline
153 & 502338 & 506146.178432435 & -3808.17843243503 \tabularnewline
154 & 500910 & 501041.903931422 & -131.903931422217 \tabularnewline
155 & 501434 & 494770.647186454 & 6663.35281354643 \tabularnewline
156 & 515476 & 502644.224387022 & 12831.7756129785 \tabularnewline
157 & 520862 & 513296.274270554 & 7565.72572944564 \tabularnewline
158 & 519517 & 508863.214774568 & 10653.785225432 \tabularnewline
159 & 511805 & 510689.270982094 & 1115.72901790612 \tabularnewline
160 & 508607 & 508133.844419303 & 473.155580696592 \tabularnewline
161 & 505327 & 508742.912925036 & -3415.91292503622 \tabularnewline
162 & 511435 & 510706.306447516 & 728.693552483746 \tabularnewline
163 & 570158 & 568534.22693549 & 1623.77306450973 \tabularnewline
164 & 591665 & 588489.650371164 & 3175.3496288365 \tabularnewline
165 & 593572 & 594399.214808759 & -827.214808759047 \tabularnewline
166 & 586346 & 595457.515330013 & -9111.51533001289 \tabularnewline
167 & 586063 & 583770.834947541 & 2292.16505245899 \tabularnewline
168 & 591504 & 590124.855189166 & 1379.14481083432 \tabularnewline
169 & 594033 & 590978.192054025 & 3054.80794597452 \tabularnewline
170 & 585597 & 583439.864216554 & 2157.13578344637 \tabularnewline
171 & 572450 & 576899.628256617 & -4449.62825661746 \tabularnewline
172 & 562917 & 568904.619452164 & -5987.61945216428 \tabularnewline
173 & 554675 & 562510.497462571 & -7835.49746257102 \tabularnewline
174 & 553997 & 559598.030685997 & -5601.03068599687 \tabularnewline
175 & 601310 & 610054.211129721 & -8744.21112972079 \tabularnewline
176 & 622255 & 618132.531807042 & 4122.46819295781 \tabularnewline
177 & 616735 & 622347.777569787 & -5612.77756978676 \tabularnewline
178 & 606480 & 615712.303235441 & -9232.30323544063 \tabularnewline
179 & 595079 & 602060.976014971 & -6981.97601497103 \tabularnewline
180 & 598588 & 596352.956844188 & 2235.04315581231 \tabularnewline
181 & 599917 & 594801.574516751 & 5115.42548324866 \tabularnewline
182 & 591573 & 585952.752612391 & 5620.24738760933 \tabularnewline
183 & 575489 & 579264.349935558 & -3775.34993555781 \tabularnewline
184 & 567223 & 568946.120967941 & -1723.12096794078 \tabularnewline
185 & 555338 & 563870.394898768 & -8532.39489876817 \tabularnewline
186 & 555252 & 557907.331313233 & -2655.33131323324 \tabularnewline
187 & 608249 & 608538.878457776 & -289.878457776154 \tabularnewline
188 & 630859 & 623706.209195595 & 7152.79080440488 \tabularnewline
189 & 628632 & 628593.346503826 & 38.6534961741418 \tabularnewline
190 & 624435 & 625938.135497878 & -1503.13549787772 \tabularnewline
191 & 609670 & 619214.18177166 & -9544.18177165987 \tabularnewline
192 & 615830 & 611177.238562208 & 4652.76143779221 \tabularnewline
193 & 621170 & 611655.232313557 & 9514.76768644305 \tabularnewline
194 & 604212 & 606846.578052115 & -2634.5780521147 \tabularnewline
195 & 584348 & 591101.939126499 & -6753.939126499 \tabularnewline
196 & 573717 & 577214.204870675 & -3497.20487067488 \tabularnewline
197 & 555234 & 568916.723897425 & -13682.7238974249 \tabularnewline
198 & 544897 & 557104.936392903 & -12207.9363929032 \tabularnewline
199 & 598866 & 596809.62593863 & 2056.37406137027 \tabularnewline
200 & 620081 & 612643.050779994 & 7437.94922000647 \tabularnewline
201 & 607699 & 615264.198831516 & -7565.19883151609 \tabularnewline
202 & 589960 & 602827.416195001 & -12867.4161950009 \tabularnewline
203 & 578665 & 581485.955489331 & -2820.95548933069 \tabularnewline
204 & 580166 & 577736.123328928 & 2429.87667107163 \tabularnewline
205 & 579457 & 573355.243592942 & 6101.75640705775 \tabularnewline
206 & 571560 & 561102.63354657 & 10457.3664534298 \tabularnewline
207 & 560460 & 554826.80152462 & 5633.19847537973 \tabularnewline
208 & 551397 & 551239.554873353 & 157.445126646664 \tabularnewline
209 & 536763 & 544456.392451876 & -7693.3924518762 \tabularnewline
210 & 540562 & 537623.767516905 & 2938.23248309514 \tabularnewline
211 & 588184 & 592896.621883296 & -4712.62188329617 \tabularnewline
212 & 607049 & 602790.449886275 & 4258.55011372489 \tabularnewline
213 & 598968 & 601102.028024154 & -2134.02802415402 \tabularnewline
214 & 577644 & 593464.626235032 & -15820.6262350321 \tabularnewline
215 & 562640 & 570005.737766049 & -7365.73776604887 \tabularnewline
216 & 565867 & 561966.079192025 & 3900.92080797546 \tabularnewline
217 & 561274 & 558882.28355162 & 2391.7164483798 \tabularnewline
218 & 554144 & 542877.617928599 & 11266.3820714012 \tabularnewline
219 & 539900 & 536452.364260622 & 3447.63573937828 \tabularnewline
220 & 526271 & 529719.375660071 & -3448.37566007068 \tabularnewline
221 & 511841 & 518022.828145907 & -6181.82814590714 \tabularnewline
222 & 505282 & 512466.418676225 & -7184.41867622524 \tabularnewline
223 & 554083 & 556122.480470264 & -2039.48047026398 \tabularnewline
224 & 584225 & 567675.708985157 & 16549.2910148429 \tabularnewline
225 & 568858 & 576430.363179148 & -7572.36317914829 \tabularnewline
226 & 539516 & 561831.743922162 & -22315.7439221623 \tabularnewline
227 & 521612 & 531510.010299423 & -9898.01029942278 \tabularnewline
228 & 525562 & 520292.049328185 & 5269.95067181543 \tabularnewline
229 & 526519 & 516845.324985721 & 9673.6750142792 \tabularnewline
230 & 515713 & 507273.927660143 & 8439.07233985746 \tabularnewline
231 & 503454 & 496483.231594415 & 6970.76840558526 \tabularnewline
232 & 489301 & 491620.069075782 & -2319.06907578232 \tabularnewline
233 & 479020 & 479955.529452568 & -935.52945256763 \tabularnewline
234 & 475102 & 478783.725247313 & -3681.72524731292 \tabularnewline
235 & 523682 & 525915.924344341 & -2233.92434434069 \tabularnewline
236 & 551528 & 538458.159940583 & 13069.8400594174 \tabularnewline
237 & 531626 & 541829.730480122 & -10203.7304801224 \tabularnewline
238 & 511037 & 523102.05445634 & -12065.0544563403 \tabularnewline
239 & 492417 & 503347.395961512 & -10930.395961512 \tabularnewline
240 & 492188 & 492336.4688732 & -148.468873200356 \tabularnewline
241 & 492865 & 483835.430373604 & 9029.56962639635 \tabularnewline
242 & 480961 & 473189.981470974 & 7771.0185290256 \tabularnewline
243 & 461935 & 461234.577170394 & 700.422829605523 \tabularnewline
244 & 456608 & 448960.388462914 & 7647.61153708602 \tabularnewline
245 & 441977 & 446495.785303943 & -4518.78530394274 \tabularnewline
246 & 439148 & 441369.842884971 & -2221.84288497083 \tabularnewline
247 & 488180 & 489643.370624508 & -1463.37062450766 \tabularnewline
248 & 520564 & 503736.806071558 & 16827.1939284418 \tabularnewline
249 & 501492 & 508966.675468333 & -7474.6754683333 \tabularnewline
250 & 485025 & 492884.087649347 & -7859.08764934714 \tabularnewline
251 & 464196 & 477685.60082322 & -13489.6008232195 \tabularnewline
252 & 460170 & 465440.54543715 & -5270.54543714999 \tabularnewline
253 & 467037 & 452814.52054469 & 14222.4794553096 \tabularnewline
254 & 460070 & 447277.971027483 & 12792.0289725173 \tabularnewline
255 & 447988 & 440245.167882516 & 7742.83211748413 \tabularnewline
256 & 442867 & 436317.544007134 & 6549.45599286648 \tabularnewline
257 & 436087 & 433189.688906844 & 2897.31109315599 \tabularnewline
258 & 431328 & 436914.041685722 & -5586.0416857219 \tabularnewline
259 & 484015 & 483657.640994542 & 357.359005458304 \tabularnewline
260 & 509673 & 502429.475913664 & 7243.52408633556 \tabularnewline
261 & 512927 & 497962.427985524 & 14964.5720144765 \tabularnewline
262 & 502831 & 505363.675662956 & -2532.67566295643 \tabularnewline
263 & 470984 & 497796.643929557 & -26812.6439295569 \tabularnewline
264 & 471067 & 475824.882861314 & -4757.88286131434 \tabularnewline
265 & 476049 & 467164.459148597 & 8884.54085140285 \tabularnewline
266 & 474605 & 458252.420385713 & 16352.579614287 \tabularnewline
267 & 470439 & 456123.653622386 & 14315.3463776138 \tabularnewline
268 & 461251 & 460681.149948215 & 569.850051785295 \tabularnewline
269 & 454724 & 453744.753480902 & 979.246519097767 \tabularnewline
270 & 455626 & 456938.057575496 & -1312.05757549551 \tabularnewline
271 & 516847 & 510262.058413418 & 6584.94158658216 \tabularnewline
272 & 525192 & 537977.756499164 & -12785.7564991644 \tabularnewline
273 & 522975 & 516583.384261471 & 6391.61573852896 \tabularnewline
274 & 518585 & 515228.834239195 & 3356.16576080531 \tabularnewline
275 & 509239 & 512305.346873453 & -3066.34687345271 \tabularnewline
276 & 512238 & 516708.163088453 & -4470.16308845294 \tabularnewline
277 & 519164 & 512061.363309412 & 7102.63669058756 \tabularnewline
278 & 517009 & 504662.012748342 & 12346.9872516576 \tabularnewline
279 & 509933 & 500991.741219203 & 8941.25878079655 \tabularnewline
280 & 509127 & 501484.223492391 & 7642.7765076086 \tabularnewline
281 & 500857 & 503599.437906277 & -2742.43790627678 \tabularnewline
282 & 506971 & 505340.097772259 & 1630.90222774103 \tabularnewline
283 & 569323 & 564355.762137872 & 4967.23786212772 \tabularnewline
284 & 579714 & 591454.361238725 & -11740.3612387246 \tabularnewline
285 & 577992 & 574751.605996707 & 3240.39400329255 \tabularnewline
286 & 565464 & 572360.492049066 & -6896.49204906623 \tabularnewline
287 & 547344 & 560770.76218102 & -13426.7621810203 \tabularnewline
288 & 554788 & 555963.914827527 & -1175.91482752748 \tabularnewline
289 & 562325 & 555968.678823833 & 6356.32117616665 \tabularnewline
290 & 560854 & 548959.037911474 & 11894.9620885255 \tabularnewline
291 & 555332 & 545298.52159608 & 10033.4784039201 \tabularnewline
292 & 543599 & 547469.795390504 & -3870.79539050371 \tabularnewline
293 & 536662 & 538018.194833634 & -1356.19483363361 \tabularnewline
294 & 542722 & 541332.014002438 & 1389.9859975623 \tabularnewline
295 & 593530 & 600317.206065123 & -6787.20606512297 \tabularnewline
296 & 610763 & 614352.17145605 & -3589.17145605024 \tabularnewline
297 & 612613 & 605964.546518676 & 6648.45348132425 \tabularnewline
298 & 611324 & 605953.106812401 & 5370.89318759856 \tabularnewline
299 & 594167 & 606176.644769819 & -12009.6447698188 \tabularnewline
300 & 595454 & 604560.249336117 & -9106.2493361173 \tabularnewline
301 & 590865 & 598124.909751922 & -7259.90975192178 \tabularnewline
302 & 589379 & 578199.058452725 & 11179.9415472753 \tabularnewline
303 & 584428 & 573017.258758286 & 11410.7412417139 \tabularnewline
304 & 573100 & 574855.923730299 & -1755.92373029911 \tabularnewline
305 & 567456 & 567093.780822221 & 362.21917777881 \tabularnewline
306 & 569028 & 571878.516376112 & -2850.51637611212 \tabularnewline
307 & 620735 & 625692.622535116 & -4957.62253511592 \tabularnewline
308 & 628884 & 641147.381587166 & -12263.3815871663 \tabularnewline
309 & 628232 & 624258.06453707 & 3973.93546293036 \tabularnewline
310 & 612117 & 620285.79458643 & -8168.7945864303 \tabularnewline
311 & 595404 & 604260.815558894 & -8856.81555889372 \tabularnewline
312 & 597141 & 603589.173253838 & -6448.17325383751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148171&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]413626[/C][C]370941.662393162[/C][C]42684.3376068376[/C][/ROW]
[ROW][C]14[/C][C]411062[/C][C]410826.799798205[/C][C]235.200201795436[/C][/ROW]
[ROW][C]15[/C][C]408352[/C][C]411369.4596299[/C][C]-3017.4596299[/C][/ROW]
[ROW][C]16[/C][C]409780[/C][C]413047.663478832[/C][C]-3267.66347883153[/C][/ROW]
[ROW][C]17[/C][C]411318[/C][C]414361.204899496[/C][C]-3043.20489949576[/C][/ROW]
[ROW][C]18[/C][C]415555[/C][C]418165.990428387[/C][C]-2610.99042838684[/C][/ROW]
[ROW][C]19[/C][C]479481[/C][C]474135.095845041[/C][C]5345.90415495919[/C][/ROW]
[ROW][C]20[/C][C]497826[/C][C]503068.896220254[/C][C]-5242.89622025355[/C][/ROW]
[ROW][C]21[/C][C]501638[/C][C]508817.630019806[/C][C]-7179.63001980598[/C][/ROW]
[ROW][C]22[/C][C]497990[/C][C]503543.154710481[/C][C]-5553.15471048077[/C][/ROW]
[ROW][C]23[/C][C]499287[/C][C]498963.931226523[/C][C]323.06877347664[/C][/ROW]
[ROW][C]24[/C][C]506247[/C][C]505394.677977085[/C][C]852.322022914712[/C][/ROW]
[ROW][C]25[/C][C]510401[/C][C]508893.679633992[/C][C]1507.32036600768[/C][/ROW]
[ROW][C]26[/C][C]508642[/C][C]505834.759312277[/C][C]2807.24068772269[/C][/ROW]
[ROW][C]27[/C][C]501805[/C][C]507056.161679328[/C][C]-5251.16167932772[/C][/ROW]
[ROW][C]28[/C][C]495476[/C][C]504992.493448759[/C][C]-9516.49344875937[/C][/ROW]
[ROW][C]29[/C][C]490336[/C][C]498386.166779145[/C][C]-8050.16677914467[/C][/ROW]
[ROW][C]30[/C][C]490042[/C][C]495051.431585848[/C][C]-5009.43158584816[/C][/ROW]
[ROW][C]31[/C][C]553155[/C][C]546655.218524177[/C][C]6499.78147582256[/C][/ROW]
[ROW][C]32[/C][C]569999[/C][C]573286.00784839[/C][C]-3287.00784839038[/C][/ROW]
[ROW][C]33[/C][C]573170[/C][C]578246.197453661[/C][C]-5076.19745366066[/C][/ROW]
[ROW][C]34[/C][C]571687[/C][C]572737.67551798[/C][C]-1050.67551798001[/C][/ROW]
[ROW][C]35[/C][C]575453[/C][C]570804.279711824[/C][C]4648.72028817562[/C][/ROW]
[ROW][C]36[/C][C]580177[/C][C]579669.387479617[/C][C]507.612520382507[/C][/ROW]
[ROW][C]37[/C][C]579849[/C][C]581248.47974832[/C][C]-1399.47974832053[/C][/ROW]
[ROW][C]38[/C][C]574346[/C][C]573711.734234049[/C][C]634.265765951248[/C][/ROW]
[ROW][C]39[/C][C]563325[/C][C]570299.633425615[/C][C]-6974.6334256155[/C][/ROW]
[ROW][C]40[/C][C]555604[/C][C]564157.506684126[/C][C]-8553.50668412587[/C][/ROW]
[ROW][C]41[/C][C]545544[/C][C]556451.368965452[/C][C]-10907.3689654521[/C][/ROW]
[ROW][C]42[/C][C]545109[/C][C]548360.994215907[/C][C]-3251.99421590695[/C][/ROW]
[ROW][C]43[/C][C]605181[/C][C]600235.265491456[/C][C]4945.73450854386[/C][/ROW]
[ROW][C]44[/C][C]627856[/C][C]622419.400555861[/C][C]5436.59944413858[/C][/ROW]
[ROW][C]45[/C][C]631421[/C][C]633722.971827639[/C][C]-2301.97182763857[/C][/ROW]
[ROW][C]46[/C][C]625671[/C][C]629663.992201424[/C][C]-3992.9922014242[/C][/ROW]
[ROW][C]47[/C][C]613577[/C][C]623764.008267442[/C][C]-10187.0082674423[/C][/ROW]
[ROW][C]48[/C][C]606463[/C][C]615767.331544332[/C][C]-9304.3315443322[/C][/ROW]
[ROW][C]49[/C][C]601676[/C][C]604549.450018621[/C][C]-2873.45001862128[/C][/ROW]
[ROW][C]50[/C][C]589121[/C][C]592125.335400716[/C][C]-3004.33540071559[/C][/ROW]
[ROW][C]51[/C][C]573559[/C][C]580845.101590137[/C][C]-7286.10159013735[/C][/ROW]
[ROW][C]52[/C][C]558487[/C][C]570331.037527597[/C][C]-11844.0375275973[/C][/ROW]
[ROW][C]53[/C][C]552148[/C][C]555176.688433509[/C][C]-3028.68843350874[/C][/ROW]
[ROW][C]54[/C][C]545720[/C][C]551334.337288141[/C][C]-5614.33728814148[/C][/ROW]
[ROW][C]55[/C][C]606569[/C][C]597803.412899278[/C][C]8765.58710072166[/C][/ROW]
[ROW][C]56[/C][C]636067[/C][C]620067.614329072[/C][C]15999.3856709281[/C][/ROW]
[ROW][C]57[/C][C]630704[/C][C]637941.831081102[/C][C]-7237.83108110167[/C][/ROW]
[ROW][C]58[/C][C]623275[/C][C]626112.642868668[/C][C]-2837.64286866784[/C][/ROW]
[ROW][C]59[/C][C]617771[/C][C]617865.935556923[/C][C]-94.9355569228064[/C][/ROW]
[ROW][C]60[/C][C]605401[/C][C]617107.598984121[/C][C]-11706.5989841206[/C][/ROW]
[ROW][C]61[/C][C]619393[/C][C]601737.241525579[/C][C]17655.7584744206[/C][/ROW]
[ROW][C]62[/C][C]596019[/C][C]607573.518802152[/C][C]-11554.5188021518[/C][/ROW]
[ROW][C]63[/C][C]569977[/C][C]586594.007157595[/C][C]-16617.0071575955[/C][/ROW]
[ROW][C]64[/C][C]546213[/C][C]564913.652950435[/C][C]-18700.6529504347[/C][/ROW]
[ROW][C]65[/C][C]528492[/C][C]541315.448051794[/C][C]-12823.4480517944[/C][/ROW]
[ROW][C]66[/C][C]505944[/C][C]524727.999812183[/C][C]-18783.9998121825[/C][/ROW]
[ROW][C]67[/C][C]554910[/C][C]555511.276004212[/C][C]-601.276004211511[/C][/ROW]
[ROW][C]68[/C][C]567831[/C][C]564384.827102563[/C][C]3446.17289743712[/C][/ROW]
[ROW][C]69[/C][C]564021[/C][C]562760.212480154[/C][C]1260.787519846[/C][/ROW]
[ROW][C]70[/C][C]552800[/C][C]553612.612203298[/C][C]-812.612203298137[/C][/ROW]
[ROW][C]71[/C][C]541102[/C][C]542074.877965835[/C][C]-972.87796583469[/C][/ROW]
[ROW][C]72[/C][C]542378[/C][C]534236.147757394[/C][C]8141.85224260576[/C][/ROW]
[ROW][C]73[/C][C]540380[/C][C]535495.446246889[/C][C]4884.5537531107[/C][/ROW]
[ROW][C]74[/C][C]521219[/C][C]522498.19159472[/C][C]-1279.19159472012[/C][/ROW]
[ROW][C]75[/C][C]504652[/C][C]506605.849030474[/C][C]-1953.84903047362[/C][/ROW]
[ROW][C]76[/C][C]490626[/C][C]495434.940566995[/C][C]-4808.9405669953[/C][/ROW]
[ROW][C]77[/C][C]481686[/C][C]483274.254599098[/C][C]-1588.25459909847[/C][/ROW]
[ROW][C]78[/C][C]477930[/C][C]475681.396561134[/C][C]2248.6034388665[/C][/ROW]
[ROW][C]79[/C][C]522605[/C][C]527910.202528363[/C][C]-5305.20252836286[/C][/ROW]
[ROW][C]80[/C][C]531432[/C][C]532957.738146199[/C][C]-1525.73814619903[/C][/ROW]
[ROW][C]81[/C][C]532355[/C][C]526427.917952128[/C][C]5927.08204787178[/C][/ROW]
[ROW][C]82[/C][C]539954[/C][C]521693.721994227[/C][C]18260.2780057731[/C][/ROW]
[ROW][C]83[/C][C]524987[/C][C]529559.608187859[/C][C]-4572.6081878586[/C][/ROW]
[ROW][C]84[/C][C]533307[/C][C]520456.491882139[/C][C]12850.5081178608[/C][/ROW]
[ROW][C]85[/C][C]530541[/C][C]527646.287194407[/C][C]2894.71280559292[/C][/ROW]
[ROW][C]86[/C][C]508392[/C][C]513998.006018179[/C][C]-5606.0060181793[/C][/ROW]
[ROW][C]87[/C][C]495208[/C][C]495342.030115875[/C][C]-134.030115874601[/C][/ROW]
[ROW][C]88[/C][C]482223[/C][C]487099.869641688[/C][C]-4876.86964168755[/C][/ROW]
[ROW][C]89[/C][C]470495[/C][C]476544.075685211[/C][C]-6049.07568521117[/C][/ROW]
[ROW][C]90[/C][C]466106[/C][C]466175.880273018[/C][C]-69.880273018207[/C][/ROW]
[ROW][C]91[/C][C]515037[/C][C]516625.00178253[/C][C]-1588.00178253005[/C][/ROW]
[ROW][C]92[/C][C]517752[/C][C]526594.920659021[/C][C]-8842.9206590209[/C][/ROW]
[ROW][C]93[/C][C]515565[/C][C]514437.79972363[/C][C]1127.20027636952[/C][/ROW]
[ROW][C]94[/C][C]510727[/C][C]506390.910042672[/C][C]4336.08995732822[/C][/ROW]
[ROW][C]95[/C][C]499725[/C][C]498880.660013083[/C][C]844.339986917097[/C][/ROW]
[ROW][C]96[/C][C]498369[/C][C]495656.674849538[/C][C]2712.32515046216[/C][/ROW]
[ROW][C]97[/C][C]493756[/C][C]491540.582608039[/C][C]2215.41739196132[/C][/ROW]
[ROW][C]98[/C][C]476141[/C][C]475420.683975548[/C][C]720.316024452157[/C][/ROW]
[ROW][C]99[/C][C]458458[/C][C]462286.394018413[/C][C]-3828.39401841321[/C][/ROW]
[ROW][C]100[/C][C]443182[/C][C]449245.360662311[/C][C]-6063.36066231091[/C][/ROW]
[ROW][C]101[/C][C]429597[/C][C]436382.669894688[/C][C]-6785.66989468795[/C][/ROW]
[ROW][C]102[/C][C]424476[/C][C]424579.405660936[/C][C]-103.405660935969[/C][/ROW]
[ROW][C]103[/C][C]476257[/C][C]473707.852750821[/C][C]2549.14724917925[/C][/ROW]
[ROW][C]104[/C][C]480555[/C][C]486139.964289895[/C][C]-5584.9642898952[/C][/ROW]
[ROW][C]105[/C][C]469762[/C][C]477111.961403009[/C][C]-7349.96140300931[/C][/ROW]
[ROW][C]106[/C][C]459820[/C][C]460158.2959639[/C][C]-338.29596390028[/C][/ROW]
[ROW][C]107[/C][C]451028[/C][C]446431.503318567[/C][C]4596.49668143288[/C][/ROW]
[ROW][C]108[/C][C]450065[/C][C]445488.806889117[/C][C]4576.1931108826[/C][/ROW]
[ROW][C]109[/C][C]444385[/C][C]441875.942890219[/C][C]2509.05710978067[/C][/ROW]
[ROW][C]110[/C][C]428846[/C][C]424752.659462975[/C][C]4093.34053702495[/C][/ROW]
[ROW][C]111[/C][C]421020[/C][C]413517.168417653[/C][C]7502.83158234728[/C][/ROW]
[ROW][C]112[/C][C]399778[/C][C]410806.932160724[/C][C]-11028.9321607243[/C][/ROW]
[ROW][C]113[/C][C]389005[/C][C]392866.668841903[/C][C]-3861.66884190292[/C][/ROW]
[ROW][C]114[/C][C]384018[/C][C]384067.102879875[/C][C]-49.1028798751649[/C][/ROW]
[ROW][C]115[/C][C]431933[/C][C]433250.848032059[/C][C]-1317.84803205868[/C][/ROW]
[ROW][C]116[/C][C]445844[/C][C]441026.931203974[/C][C]4817.06879602582[/C][/ROW]
[ROW][C]117[/C][C]431464[/C][C]441852.595379689[/C][C]-10388.5953796892[/C][/ROW]
[ROW][C]118[/C][C]423263[/C][C]422664.560389776[/C][C]598.43961022445[/C][/ROW]
[ROW][C]119[/C][C]415881[/C][C]410318.73305097[/C][C]5562.2669490297[/C][/ROW]
[ROW][C]120[/C][C]416208[/C][C]410504.587240729[/C][C]5703.41275927145[/C][/ROW]
[ROW][C]121[/C][C]413491[/C][C]408111.161520362[/C][C]5379.83847963763[/C][/ROW]
[ROW][C]122[/C][C]399153[/C][C]394309.47311495[/C][C]4843.52688504971[/C][/ROW]
[ROW][C]123[/C][C]385939[/C][C]384615.062915174[/C][C]1323.93708482553[/C][/ROW]
[ROW][C]124[/C][C]373917[/C][C]374965.573194026[/C][C]-1048.57319402642[/C][/ROW]
[ROW][C]125[/C][C]364635[/C][C]367699.742240622[/C][C]-3064.742240622[/C][/ROW]
[ROW][C]126[/C][C]364696[/C][C]360869.448112091[/C][C]3826.55188790907[/C][/ROW]
[ROW][C]127[/C][C]418358[/C][C]414818.030862218[/C][C]3539.96913778153[/C][/ROW]
[ROW][C]128[/C][C]428212[/C][C]429176.123672064[/C][C]-964.123672064277[/C][/ROW]
[ROW][C]129[/C][C]423730[/C][C]424732.399859706[/C][C]-1002.39985970629[/C][/ROW]
[ROW][C]130[/C][C]420677[/C][C]416956.971096342[/C][C]3720.02890365769[/C][/ROW]
[ROW][C]131[/C][C]417428[/C][C]410018.053705197[/C][C]7409.94629480323[/C][/ROW]
[ROW][C]132[/C][C]423245[/C][C]414226.316036133[/C][C]9018.68396386673[/C][/ROW]
[ROW][C]133[/C][C]423113[/C][C]417441.439687731[/C][C]5671.56031226943[/C][/ROW]
[ROW][C]134[/C][C]418873[/C][C]406448.222751697[/C][C]12424.7772483031[/C][/ROW]
[ROW][C]135[/C][C]405733[/C][C]406704.519313493[/C][C]-971.519313493161[/C][/ROW]
[ROW][C]136[/C][C]397812[/C][C]397739.193884029[/C][C]72.8061159705394[/C][/ROW]
[ROW][C]137[/C][C]389918[/C][C]394442.441702255[/C][C]-4524.44170225493[/C][/ROW]
[ROW][C]138[/C][C]391116[/C][C]389708.227781088[/C][C]1407.77221891191[/C][/ROW]
[ROW][C]139[/C][C]443814[/C][C]444162.105650922[/C][C]-348.105650921818[/C][/ROW]
[ROW][C]140[/C][C]460373[/C][C]457058.789780485[/C][C]3314.21021951456[/C][/ROW]
[ROW][C]141[/C][C]455422[/C][C]459386.792224314[/C][C]-3964.79222431395[/C][/ROW]
[ROW][C]142[/C][C]456288[/C][C]451770.769009882[/C][C]4517.23099011782[/C][/ROW]
[ROW][C]143[/C][C]452233[/C][C]448470.076537066[/C][C]3762.92346293404[/C][/ROW]
[ROW][C]144[/C][C]459256[/C][C]451758.891377663[/C][C]7497.10862233734[/C][/ROW]
[ROW][C]145[/C][C]461146[/C][C]455556.123579724[/C][C]5589.87642027612[/C][/ROW]
[ROW][C]146[/C][C]451391[/C][C]447197.542747883[/C][C]4193.45725211711[/C][/ROW]
[ROW][C]147[/C][C]443101[/C][C]440443.985611997[/C][C]2657.0143880031[/C][/ROW]
[ROW][C]148[/C][C]438810[/C][C]436794.009176378[/C][C]2015.99082362221[/C][/ROW]
[ROW][C]149[/C][C]430457[/C][C]436994.93814818[/C][C]-6537.93814818008[/C][/ROW]
[ROW][C]150[/C][C]435721[/C][C]432681.169963579[/C][C]3039.83003642136[/C][/ROW]
[ROW][C]151[/C][C]488280[/C][C]490517.381078699[/C][C]-2237.38107869937[/C][/ROW]
[ROW][C]152[/C][C]505814[/C][C]503767.712551931[/C][C]2046.28744806937[/C][/ROW]
[ROW][C]153[/C][C]502338[/C][C]506146.178432435[/C][C]-3808.17843243503[/C][/ROW]
[ROW][C]154[/C][C]500910[/C][C]501041.903931422[/C][C]-131.903931422217[/C][/ROW]
[ROW][C]155[/C][C]501434[/C][C]494770.647186454[/C][C]6663.35281354643[/C][/ROW]
[ROW][C]156[/C][C]515476[/C][C]502644.224387022[/C][C]12831.7756129785[/C][/ROW]
[ROW][C]157[/C][C]520862[/C][C]513296.274270554[/C][C]7565.72572944564[/C][/ROW]
[ROW][C]158[/C][C]519517[/C][C]508863.214774568[/C][C]10653.785225432[/C][/ROW]
[ROW][C]159[/C][C]511805[/C][C]510689.270982094[/C][C]1115.72901790612[/C][/ROW]
[ROW][C]160[/C][C]508607[/C][C]508133.844419303[/C][C]473.155580696592[/C][/ROW]
[ROW][C]161[/C][C]505327[/C][C]508742.912925036[/C][C]-3415.91292503622[/C][/ROW]
[ROW][C]162[/C][C]511435[/C][C]510706.306447516[/C][C]728.693552483746[/C][/ROW]
[ROW][C]163[/C][C]570158[/C][C]568534.22693549[/C][C]1623.77306450973[/C][/ROW]
[ROW][C]164[/C][C]591665[/C][C]588489.650371164[/C][C]3175.3496288365[/C][/ROW]
[ROW][C]165[/C][C]593572[/C][C]594399.214808759[/C][C]-827.214808759047[/C][/ROW]
[ROW][C]166[/C][C]586346[/C][C]595457.515330013[/C][C]-9111.51533001289[/C][/ROW]
[ROW][C]167[/C][C]586063[/C][C]583770.834947541[/C][C]2292.16505245899[/C][/ROW]
[ROW][C]168[/C][C]591504[/C][C]590124.855189166[/C][C]1379.14481083432[/C][/ROW]
[ROW][C]169[/C][C]594033[/C][C]590978.192054025[/C][C]3054.80794597452[/C][/ROW]
[ROW][C]170[/C][C]585597[/C][C]583439.864216554[/C][C]2157.13578344637[/C][/ROW]
[ROW][C]171[/C][C]572450[/C][C]576899.628256617[/C][C]-4449.62825661746[/C][/ROW]
[ROW][C]172[/C][C]562917[/C][C]568904.619452164[/C][C]-5987.61945216428[/C][/ROW]
[ROW][C]173[/C][C]554675[/C][C]562510.497462571[/C][C]-7835.49746257102[/C][/ROW]
[ROW][C]174[/C][C]553997[/C][C]559598.030685997[/C][C]-5601.03068599687[/C][/ROW]
[ROW][C]175[/C][C]601310[/C][C]610054.211129721[/C][C]-8744.21112972079[/C][/ROW]
[ROW][C]176[/C][C]622255[/C][C]618132.531807042[/C][C]4122.46819295781[/C][/ROW]
[ROW][C]177[/C][C]616735[/C][C]622347.777569787[/C][C]-5612.77756978676[/C][/ROW]
[ROW][C]178[/C][C]606480[/C][C]615712.303235441[/C][C]-9232.30323544063[/C][/ROW]
[ROW][C]179[/C][C]595079[/C][C]602060.976014971[/C][C]-6981.97601497103[/C][/ROW]
[ROW][C]180[/C][C]598588[/C][C]596352.956844188[/C][C]2235.04315581231[/C][/ROW]
[ROW][C]181[/C][C]599917[/C][C]594801.574516751[/C][C]5115.42548324866[/C][/ROW]
[ROW][C]182[/C][C]591573[/C][C]585952.752612391[/C][C]5620.24738760933[/C][/ROW]
[ROW][C]183[/C][C]575489[/C][C]579264.349935558[/C][C]-3775.34993555781[/C][/ROW]
[ROW][C]184[/C][C]567223[/C][C]568946.120967941[/C][C]-1723.12096794078[/C][/ROW]
[ROW][C]185[/C][C]555338[/C][C]563870.394898768[/C][C]-8532.39489876817[/C][/ROW]
[ROW][C]186[/C][C]555252[/C][C]557907.331313233[/C][C]-2655.33131323324[/C][/ROW]
[ROW][C]187[/C][C]608249[/C][C]608538.878457776[/C][C]-289.878457776154[/C][/ROW]
[ROW][C]188[/C][C]630859[/C][C]623706.209195595[/C][C]7152.79080440488[/C][/ROW]
[ROW][C]189[/C][C]628632[/C][C]628593.346503826[/C][C]38.6534961741418[/C][/ROW]
[ROW][C]190[/C][C]624435[/C][C]625938.135497878[/C][C]-1503.13549787772[/C][/ROW]
[ROW][C]191[/C][C]609670[/C][C]619214.18177166[/C][C]-9544.18177165987[/C][/ROW]
[ROW][C]192[/C][C]615830[/C][C]611177.238562208[/C][C]4652.76143779221[/C][/ROW]
[ROW][C]193[/C][C]621170[/C][C]611655.232313557[/C][C]9514.76768644305[/C][/ROW]
[ROW][C]194[/C][C]604212[/C][C]606846.578052115[/C][C]-2634.5780521147[/C][/ROW]
[ROW][C]195[/C][C]584348[/C][C]591101.939126499[/C][C]-6753.939126499[/C][/ROW]
[ROW][C]196[/C][C]573717[/C][C]577214.204870675[/C][C]-3497.20487067488[/C][/ROW]
[ROW][C]197[/C][C]555234[/C][C]568916.723897425[/C][C]-13682.7238974249[/C][/ROW]
[ROW][C]198[/C][C]544897[/C][C]557104.936392903[/C][C]-12207.9363929032[/C][/ROW]
[ROW][C]199[/C][C]598866[/C][C]596809.62593863[/C][C]2056.37406137027[/C][/ROW]
[ROW][C]200[/C][C]620081[/C][C]612643.050779994[/C][C]7437.94922000647[/C][/ROW]
[ROW][C]201[/C][C]607699[/C][C]615264.198831516[/C][C]-7565.19883151609[/C][/ROW]
[ROW][C]202[/C][C]589960[/C][C]602827.416195001[/C][C]-12867.4161950009[/C][/ROW]
[ROW][C]203[/C][C]578665[/C][C]581485.955489331[/C][C]-2820.95548933069[/C][/ROW]
[ROW][C]204[/C][C]580166[/C][C]577736.123328928[/C][C]2429.87667107163[/C][/ROW]
[ROW][C]205[/C][C]579457[/C][C]573355.243592942[/C][C]6101.75640705775[/C][/ROW]
[ROW][C]206[/C][C]571560[/C][C]561102.63354657[/C][C]10457.3664534298[/C][/ROW]
[ROW][C]207[/C][C]560460[/C][C]554826.80152462[/C][C]5633.19847537973[/C][/ROW]
[ROW][C]208[/C][C]551397[/C][C]551239.554873353[/C][C]157.445126646664[/C][/ROW]
[ROW][C]209[/C][C]536763[/C][C]544456.392451876[/C][C]-7693.3924518762[/C][/ROW]
[ROW][C]210[/C][C]540562[/C][C]537623.767516905[/C][C]2938.23248309514[/C][/ROW]
[ROW][C]211[/C][C]588184[/C][C]592896.621883296[/C][C]-4712.62188329617[/C][/ROW]
[ROW][C]212[/C][C]607049[/C][C]602790.449886275[/C][C]4258.55011372489[/C][/ROW]
[ROW][C]213[/C][C]598968[/C][C]601102.028024154[/C][C]-2134.02802415402[/C][/ROW]
[ROW][C]214[/C][C]577644[/C][C]593464.626235032[/C][C]-15820.6262350321[/C][/ROW]
[ROW][C]215[/C][C]562640[/C][C]570005.737766049[/C][C]-7365.73776604887[/C][/ROW]
[ROW][C]216[/C][C]565867[/C][C]561966.079192025[/C][C]3900.92080797546[/C][/ROW]
[ROW][C]217[/C][C]561274[/C][C]558882.28355162[/C][C]2391.7164483798[/C][/ROW]
[ROW][C]218[/C][C]554144[/C][C]542877.617928599[/C][C]11266.3820714012[/C][/ROW]
[ROW][C]219[/C][C]539900[/C][C]536452.364260622[/C][C]3447.63573937828[/C][/ROW]
[ROW][C]220[/C][C]526271[/C][C]529719.375660071[/C][C]-3448.37566007068[/C][/ROW]
[ROW][C]221[/C][C]511841[/C][C]518022.828145907[/C][C]-6181.82814590714[/C][/ROW]
[ROW][C]222[/C][C]505282[/C][C]512466.418676225[/C][C]-7184.41867622524[/C][/ROW]
[ROW][C]223[/C][C]554083[/C][C]556122.480470264[/C][C]-2039.48047026398[/C][/ROW]
[ROW][C]224[/C][C]584225[/C][C]567675.708985157[/C][C]16549.2910148429[/C][/ROW]
[ROW][C]225[/C][C]568858[/C][C]576430.363179148[/C][C]-7572.36317914829[/C][/ROW]
[ROW][C]226[/C][C]539516[/C][C]561831.743922162[/C][C]-22315.7439221623[/C][/ROW]
[ROW][C]227[/C][C]521612[/C][C]531510.010299423[/C][C]-9898.01029942278[/C][/ROW]
[ROW][C]228[/C][C]525562[/C][C]520292.049328185[/C][C]5269.95067181543[/C][/ROW]
[ROW][C]229[/C][C]526519[/C][C]516845.324985721[/C][C]9673.6750142792[/C][/ROW]
[ROW][C]230[/C][C]515713[/C][C]507273.927660143[/C][C]8439.07233985746[/C][/ROW]
[ROW][C]231[/C][C]503454[/C][C]496483.231594415[/C][C]6970.76840558526[/C][/ROW]
[ROW][C]232[/C][C]489301[/C][C]491620.069075782[/C][C]-2319.06907578232[/C][/ROW]
[ROW][C]233[/C][C]479020[/C][C]479955.529452568[/C][C]-935.52945256763[/C][/ROW]
[ROW][C]234[/C][C]475102[/C][C]478783.725247313[/C][C]-3681.72524731292[/C][/ROW]
[ROW][C]235[/C][C]523682[/C][C]525915.924344341[/C][C]-2233.92434434069[/C][/ROW]
[ROW][C]236[/C][C]551528[/C][C]538458.159940583[/C][C]13069.8400594174[/C][/ROW]
[ROW][C]237[/C][C]531626[/C][C]541829.730480122[/C][C]-10203.7304801224[/C][/ROW]
[ROW][C]238[/C][C]511037[/C][C]523102.05445634[/C][C]-12065.0544563403[/C][/ROW]
[ROW][C]239[/C][C]492417[/C][C]503347.395961512[/C][C]-10930.395961512[/C][/ROW]
[ROW][C]240[/C][C]492188[/C][C]492336.4688732[/C][C]-148.468873200356[/C][/ROW]
[ROW][C]241[/C][C]492865[/C][C]483835.430373604[/C][C]9029.56962639635[/C][/ROW]
[ROW][C]242[/C][C]480961[/C][C]473189.981470974[/C][C]7771.0185290256[/C][/ROW]
[ROW][C]243[/C][C]461935[/C][C]461234.577170394[/C][C]700.422829605523[/C][/ROW]
[ROW][C]244[/C][C]456608[/C][C]448960.388462914[/C][C]7647.61153708602[/C][/ROW]
[ROW][C]245[/C][C]441977[/C][C]446495.785303943[/C][C]-4518.78530394274[/C][/ROW]
[ROW][C]246[/C][C]439148[/C][C]441369.842884971[/C][C]-2221.84288497083[/C][/ROW]
[ROW][C]247[/C][C]488180[/C][C]489643.370624508[/C][C]-1463.37062450766[/C][/ROW]
[ROW][C]248[/C][C]520564[/C][C]503736.806071558[/C][C]16827.1939284418[/C][/ROW]
[ROW][C]249[/C][C]501492[/C][C]508966.675468333[/C][C]-7474.6754683333[/C][/ROW]
[ROW][C]250[/C][C]485025[/C][C]492884.087649347[/C][C]-7859.08764934714[/C][/ROW]
[ROW][C]251[/C][C]464196[/C][C]477685.60082322[/C][C]-13489.6008232195[/C][/ROW]
[ROW][C]252[/C][C]460170[/C][C]465440.54543715[/C][C]-5270.54543714999[/C][/ROW]
[ROW][C]253[/C][C]467037[/C][C]452814.52054469[/C][C]14222.4794553096[/C][/ROW]
[ROW][C]254[/C][C]460070[/C][C]447277.971027483[/C][C]12792.0289725173[/C][/ROW]
[ROW][C]255[/C][C]447988[/C][C]440245.167882516[/C][C]7742.83211748413[/C][/ROW]
[ROW][C]256[/C][C]442867[/C][C]436317.544007134[/C][C]6549.45599286648[/C][/ROW]
[ROW][C]257[/C][C]436087[/C][C]433189.688906844[/C][C]2897.31109315599[/C][/ROW]
[ROW][C]258[/C][C]431328[/C][C]436914.041685722[/C][C]-5586.0416857219[/C][/ROW]
[ROW][C]259[/C][C]484015[/C][C]483657.640994542[/C][C]357.359005458304[/C][/ROW]
[ROW][C]260[/C][C]509673[/C][C]502429.475913664[/C][C]7243.52408633556[/C][/ROW]
[ROW][C]261[/C][C]512927[/C][C]497962.427985524[/C][C]14964.5720144765[/C][/ROW]
[ROW][C]262[/C][C]502831[/C][C]505363.675662956[/C][C]-2532.67566295643[/C][/ROW]
[ROW][C]263[/C][C]470984[/C][C]497796.643929557[/C][C]-26812.6439295569[/C][/ROW]
[ROW][C]264[/C][C]471067[/C][C]475824.882861314[/C][C]-4757.88286131434[/C][/ROW]
[ROW][C]265[/C][C]476049[/C][C]467164.459148597[/C][C]8884.54085140285[/C][/ROW]
[ROW][C]266[/C][C]474605[/C][C]458252.420385713[/C][C]16352.579614287[/C][/ROW]
[ROW][C]267[/C][C]470439[/C][C]456123.653622386[/C][C]14315.3463776138[/C][/ROW]
[ROW][C]268[/C][C]461251[/C][C]460681.149948215[/C][C]569.850051785295[/C][/ROW]
[ROW][C]269[/C][C]454724[/C][C]453744.753480902[/C][C]979.246519097767[/C][/ROW]
[ROW][C]270[/C][C]455626[/C][C]456938.057575496[/C][C]-1312.05757549551[/C][/ROW]
[ROW][C]271[/C][C]516847[/C][C]510262.058413418[/C][C]6584.94158658216[/C][/ROW]
[ROW][C]272[/C][C]525192[/C][C]537977.756499164[/C][C]-12785.7564991644[/C][/ROW]
[ROW][C]273[/C][C]522975[/C][C]516583.384261471[/C][C]6391.61573852896[/C][/ROW]
[ROW][C]274[/C][C]518585[/C][C]515228.834239195[/C][C]3356.16576080531[/C][/ROW]
[ROW][C]275[/C][C]509239[/C][C]512305.346873453[/C][C]-3066.34687345271[/C][/ROW]
[ROW][C]276[/C][C]512238[/C][C]516708.163088453[/C][C]-4470.16308845294[/C][/ROW]
[ROW][C]277[/C][C]519164[/C][C]512061.363309412[/C][C]7102.63669058756[/C][/ROW]
[ROW][C]278[/C][C]517009[/C][C]504662.012748342[/C][C]12346.9872516576[/C][/ROW]
[ROW][C]279[/C][C]509933[/C][C]500991.741219203[/C][C]8941.25878079655[/C][/ROW]
[ROW][C]280[/C][C]509127[/C][C]501484.223492391[/C][C]7642.7765076086[/C][/ROW]
[ROW][C]281[/C][C]500857[/C][C]503599.437906277[/C][C]-2742.43790627678[/C][/ROW]
[ROW][C]282[/C][C]506971[/C][C]505340.097772259[/C][C]1630.90222774103[/C][/ROW]
[ROW][C]283[/C][C]569323[/C][C]564355.762137872[/C][C]4967.23786212772[/C][/ROW]
[ROW][C]284[/C][C]579714[/C][C]591454.361238725[/C][C]-11740.3612387246[/C][/ROW]
[ROW][C]285[/C][C]577992[/C][C]574751.605996707[/C][C]3240.39400329255[/C][/ROW]
[ROW][C]286[/C][C]565464[/C][C]572360.492049066[/C][C]-6896.49204906623[/C][/ROW]
[ROW][C]287[/C][C]547344[/C][C]560770.76218102[/C][C]-13426.7621810203[/C][/ROW]
[ROW][C]288[/C][C]554788[/C][C]555963.914827527[/C][C]-1175.91482752748[/C][/ROW]
[ROW][C]289[/C][C]562325[/C][C]555968.678823833[/C][C]6356.32117616665[/C][/ROW]
[ROW][C]290[/C][C]560854[/C][C]548959.037911474[/C][C]11894.9620885255[/C][/ROW]
[ROW][C]291[/C][C]555332[/C][C]545298.52159608[/C][C]10033.4784039201[/C][/ROW]
[ROW][C]292[/C][C]543599[/C][C]547469.795390504[/C][C]-3870.79539050371[/C][/ROW]
[ROW][C]293[/C][C]536662[/C][C]538018.194833634[/C][C]-1356.19483363361[/C][/ROW]
[ROW][C]294[/C][C]542722[/C][C]541332.014002438[/C][C]1389.9859975623[/C][/ROW]
[ROW][C]295[/C][C]593530[/C][C]600317.206065123[/C][C]-6787.20606512297[/C][/ROW]
[ROW][C]296[/C][C]610763[/C][C]614352.17145605[/C][C]-3589.17145605024[/C][/ROW]
[ROW][C]297[/C][C]612613[/C][C]605964.546518676[/C][C]6648.45348132425[/C][/ROW]
[ROW][C]298[/C][C]611324[/C][C]605953.106812401[/C][C]5370.89318759856[/C][/ROW]
[ROW][C]299[/C][C]594167[/C][C]606176.644769819[/C][C]-12009.6447698188[/C][/ROW]
[ROW][C]300[/C][C]595454[/C][C]604560.249336117[/C][C]-9106.2493361173[/C][/ROW]
[ROW][C]301[/C][C]590865[/C][C]598124.909751922[/C][C]-7259.90975192178[/C][/ROW]
[ROW][C]302[/C][C]589379[/C][C]578199.058452725[/C][C]11179.9415472753[/C][/ROW]
[ROW][C]303[/C][C]584428[/C][C]573017.258758286[/C][C]11410.7412417139[/C][/ROW]
[ROW][C]304[/C][C]573100[/C][C]574855.923730299[/C][C]-1755.92373029911[/C][/ROW]
[ROW][C]305[/C][C]567456[/C][C]567093.780822221[/C][C]362.21917777881[/C][/ROW]
[ROW][C]306[/C][C]569028[/C][C]571878.516376112[/C][C]-2850.51637611212[/C][/ROW]
[ROW][C]307[/C][C]620735[/C][C]625692.622535116[/C][C]-4957.62253511592[/C][/ROW]
[ROW][C]308[/C][C]628884[/C][C]641147.381587166[/C][C]-12263.3815871663[/C][/ROW]
[ROW][C]309[/C][C]628232[/C][C]624258.06453707[/C][C]3973.93546293036[/C][/ROW]
[ROW][C]310[/C][C]612117[/C][C]620285.79458643[/C][C]-8168.7945864303[/C][/ROW]
[ROW][C]311[/C][C]595404[/C][C]604260.815558894[/C][C]-8856.81555889372[/C][/ROW]
[ROW][C]312[/C][C]597141[/C][C]603589.173253838[/C][C]-6448.17325383751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148171&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148171&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
13413626370941.66239316242684.3376068376
14411062410826.799798205235.200201795436
15408352411369.4596299-3017.4596299
16409780413047.663478832-3267.66347883153
17411318414361.204899496-3043.20489949576
18415555418165.990428387-2610.99042838684
19479481474135.0958450415345.90415495919
20497826503068.896220254-5242.89622025355
21501638508817.630019806-7179.63001980598
22497990503543.154710481-5553.15471048077
23499287498963.931226523323.06877347664
24506247505394.677977085852.322022914712
25510401508893.6796339921507.32036600768
26508642505834.7593122772807.24068772269
27501805507056.161679328-5251.16167932772
28495476504992.493448759-9516.49344875937
29490336498386.166779145-8050.16677914467
30490042495051.431585848-5009.43158584816
31553155546655.2185241776499.78147582256
32569999573286.00784839-3287.00784839038
33573170578246.197453661-5076.19745366066
34571687572737.67551798-1050.67551798001
35575453570804.2797118244648.72028817562
36580177579669.387479617507.612520382507
37579849581248.47974832-1399.47974832053
38574346573711.734234049634.265765951248
39563325570299.633425615-6974.6334256155
40555604564157.506684126-8553.50668412587
41545544556451.368965452-10907.3689654521
42545109548360.994215907-3251.99421590695
43605181600235.2654914564945.73450854386
44627856622419.4005558615436.59944413858
45631421633722.971827639-2301.97182763857
46625671629663.992201424-3992.9922014242
47613577623764.008267442-10187.0082674423
48606463615767.331544332-9304.3315443322
49601676604549.450018621-2873.45001862128
50589121592125.335400716-3004.33540071559
51573559580845.101590137-7286.10159013735
52558487570331.037527597-11844.0375275973
53552148555176.688433509-3028.68843350874
54545720551334.337288141-5614.33728814148
55606569597803.4128992788765.58710072166
56636067620067.61432907215999.3856709281
57630704637941.831081102-7237.83108110167
58623275626112.642868668-2837.64286866784
59617771617865.935556923-94.9355569228064
60605401617107.598984121-11706.5989841206
61619393601737.24152557917655.7584744206
62596019607573.518802152-11554.5188021518
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65528492541315.448051794-12823.4480517944
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68567831564384.8271025633446.17289743712
69564021562760.2124801541260.787519846
70552800553612.612203298-812.612203298137
71541102542074.877965835-972.87796583469
72542378534236.1477573948141.85224260576
73540380535495.4462468894884.5537531107
74521219522498.19159472-1279.19159472012
75504652506605.849030474-1953.84903047362
76490626495434.940566995-4808.9405669953
77481686483274.254599098-1588.25459909847
78477930475681.3965611342248.6034388665
79522605527910.202528363-5305.20252836286
80531432532957.738146199-1525.73814619903
81532355526427.9179521285927.08204787178
82539954521693.72199422718260.2780057731
83524987529559.608187859-4572.6081878586
84533307520456.49188213912850.5081178608
85530541527646.2871944072894.71280559292
86508392513998.006018179-5606.0060181793
87495208495342.030115875-134.030115874601
88482223487099.869641688-4876.86964168755
89470495476544.075685211-6049.07568521117
90466106466175.880273018-69.880273018207
91515037516625.00178253-1588.00178253005
92517752526594.920659021-8842.9206590209
93515565514437.799723631127.20027636952
94510727506390.9100426724336.08995732822
95499725498880.660013083844.339986917097
96498369495656.6748495382712.32515046216
97493756491540.5826080392215.41739196132
98476141475420.683975548720.316024452157
99458458462286.394018413-3828.39401841321
100443182449245.360662311-6063.36066231091
101429597436382.669894688-6785.66989468795
102424476424579.405660936-103.405660935969
103476257473707.8527508212549.14724917925
104480555486139.964289895-5584.9642898952
105469762477111.961403009-7349.96140300931
106459820460158.2959639-338.29596390028
107451028446431.5033185674596.49668143288
108450065445488.8068891174576.1931108826
109444385441875.9428902192509.05710978067
110428846424752.6594629754093.34053702495
111421020413517.1684176537502.83158234728
112399778410806.932160724-11028.9321607243
113389005392866.668841903-3861.66884190292
114384018384067.102879875-49.1028798751649
115431933433250.848032059-1317.84803205868
116445844441026.9312039744817.06879602582
117431464441852.595379689-10388.5953796892
118423263422664.560389776598.43961022445
119415881410318.733050975562.2669490297
120416208410504.5872407295703.41275927145
121413491408111.1615203625379.83847963763
122399153394309.473114954843.52688504971
123385939384615.0629151741323.93708482553
124373917374965.573194026-1048.57319402642
125364635367699.742240622-3064.742240622
126364696360869.4481120913826.55188790907
127418358414818.0308622183539.96913778153
128428212429176.123672064-964.123672064277
129423730424732.399859706-1002.39985970629
130420677416956.9710963423720.02890365769
131417428410018.0537051977409.94629480323
132423245414226.3160361339018.68396386673
133423113417441.4396877315671.56031226943
134418873406448.22275169712424.7772483031
135405733406704.519313493-971.519313493161
136397812397739.19388402972.8061159705394
137389918394442.441702255-4524.44170225493
138391116389708.2277810881407.77221891191
139443814444162.105650922-348.105650921818
140460373457058.7897804853314.21021951456
141455422459386.792224314-3964.79222431395
142456288451770.7690098824517.23099011782
143452233448470.0765370663762.92346293404
144459256451758.8913776637497.10862233734
145461146455556.1235797245589.87642027612
146451391447197.5427478834193.45725211711
147443101440443.9856119972657.0143880031
148438810436794.0091763782015.99082362221
149430457436994.93814818-6537.93814818008
150435721432681.1699635793039.83003642136
151488280490517.381078699-2237.38107869937
152505814503767.7125519312046.28744806937
153502338506146.178432435-3808.17843243503
154500910501041.903931422-131.903931422217
155501434494770.6471864546663.35281354643
156515476502644.22438702212831.7756129785
157520862513296.2742705547565.72572944564
158519517508863.21477456810653.785225432
159511805510689.2709820941115.72901790612
160508607508133.844419303473.155580696592
161505327508742.912925036-3415.91292503622
162511435510706.306447516728.693552483746
163570158568534.226935491623.77306450973
164591665588489.6503711643175.3496288365
165593572594399.214808759-827.214808759047
166586346595457.515330013-9111.51533001289
167586063583770.8349475412292.16505245899
168591504590124.8551891661379.14481083432
169594033590978.1920540253054.80794597452
170585597583439.8642165542157.13578344637
171572450576899.628256617-4449.62825661746
172562917568904.619452164-5987.61945216428
173554675562510.497462571-7835.49746257102
174553997559598.030685997-5601.03068599687
175601310610054.211129721-8744.21112972079
176622255618132.5318070424122.46819295781
177616735622347.777569787-5612.77756978676
178606480615712.303235441-9232.30323544063
179595079602060.976014971-6981.97601497103
180598588596352.9568441882235.04315581231
181599917594801.5745167515115.42548324866
182591573585952.7526123915620.24738760933
183575489579264.349935558-3775.34993555781
184567223568946.120967941-1723.12096794078
185555338563870.394898768-8532.39489876817
186555252557907.331313233-2655.33131323324
187608249608538.878457776-289.878457776154
188630859623706.2091955957152.79080440488
189628632628593.34650382638.6534961741418
190624435625938.135497878-1503.13549787772
191609670619214.18177166-9544.18177165987
192615830611177.2385622084652.76143779221
193621170611655.2323135579514.76768644305
194604212606846.578052115-2634.5780521147
195584348591101.939126499-6753.939126499
196573717577214.204870675-3497.20487067488
197555234568916.723897425-13682.7238974249
198544897557104.936392903-12207.9363929032
199598866596809.625938632056.37406137027
200620081612643.0507799947437.94922000647
201607699615264.198831516-7565.19883151609
202589960602827.416195001-12867.4161950009
203578665581485.955489331-2820.95548933069
204580166577736.1233289282429.87667107163
205579457573355.2435929426101.75640705775
206571560561102.6335465710457.3664534298
207560460554826.801524625633.19847537973
208551397551239.554873353157.445126646664
209536763544456.392451876-7693.3924518762
210540562537623.7675169052938.23248309514
211588184592896.621883296-4712.62188329617
212607049602790.4498862754258.55011372489
213598968601102.028024154-2134.02802415402
214577644593464.626235032-15820.6262350321
215562640570005.737766049-7365.73776604887
216565867561966.0791920253900.92080797546
217561274558882.283551622391.7164483798
218554144542877.61792859911266.3820714012
219539900536452.3642606223447.63573937828
220526271529719.375660071-3448.37566007068
221511841518022.828145907-6181.82814590714
222505282512466.418676225-7184.41867622524
223554083556122.480470264-2039.48047026398
224584225567675.70898515716549.2910148429
225568858576430.363179148-7572.36317914829
226539516561831.743922162-22315.7439221623
227521612531510.010299423-9898.01029942278
228525562520292.0493281855269.95067181543
229526519516845.3249857219673.6750142792
230515713507273.9276601438439.07233985746
231503454496483.2315944156970.76840558526
232489301491620.069075782-2319.06907578232
233479020479955.529452568-935.52945256763
234475102478783.725247313-3681.72524731292
235523682525915.924344341-2233.92434434069
236551528538458.15994058313069.8400594174
237531626541829.730480122-10203.7304801224
238511037523102.05445634-12065.0544563403
239492417503347.395961512-10930.395961512
240492188492336.4688732-148.468873200356
241492865483835.4303736049029.56962639635
242480961473189.9814709747771.0185290256
243461935461234.577170394700.422829605523
244456608448960.3884629147647.61153708602
245441977446495.785303943-4518.78530394274
246439148441369.842884971-2221.84288497083
247488180489643.370624508-1463.37062450766
248520564503736.80607155816827.1939284418
249501492508966.675468333-7474.6754683333
250485025492884.087649347-7859.08764934714
251464196477685.60082322-13489.6008232195
252460170465440.54543715-5270.54543714999
253467037452814.5205446914222.4794553096
254460070447277.97102748312792.0289725173
255447988440245.1678825167742.83211748413
256442867436317.5440071346549.45599286648
257436087433189.6889068442897.31109315599
258431328436914.041685722-5586.0416857219
259484015483657.640994542357.359005458304
260509673502429.4759136647243.52408633556
261512927497962.42798552414964.5720144765
262502831505363.675662956-2532.67566295643
263470984497796.643929557-26812.6439295569
264471067475824.882861314-4757.88286131434
265476049467164.4591485978884.54085140285
266474605458252.42038571316352.579614287
267470439456123.65362238614315.3463776138
268461251460681.149948215569.850051785295
269454724453744.753480902979.246519097767
270455626456938.057575496-1312.05757549551
271516847510262.0584134186584.94158658216
272525192537977.756499164-12785.7564991644
273522975516583.3842614716391.61573852896
274518585515228.8342391953356.16576080531
275509239512305.346873453-3066.34687345271
276512238516708.163088453-4470.16308845294
277519164512061.3633094127102.63669058756
278517009504662.01274834212346.9872516576
279509933500991.7412192038941.25878079655
280509127501484.2234923917642.7765076086
281500857503599.437906277-2742.43790627678
282506971505340.0977722591630.90222774103
283569323564355.7621378724967.23786212772
284579714591454.361238725-11740.3612387246
285577992574751.6059967073240.39400329255
286565464572360.492049066-6896.49204906623
287547344560770.76218102-13426.7621810203
288554788555963.914827527-1175.91482752748
289562325555968.6788238336356.32117616665
290560854548959.03791147411894.9620885255
291555332545298.5215960810033.4784039201
292543599547469.795390504-3870.79539050371
293536662538018.194833634-1356.19483363361
294542722541332.0140024381389.9859975623
295593530600317.206065123-6787.20606512297
296610763614352.17145605-3589.17145605024
297612613605964.5465186766648.45348132425
298611324605953.1068124015370.89318759856
299594167606176.644769819-12009.6447698188
300595454604560.249336117-9106.2493361173
301590865598124.909751922-7259.90975192178
302589379578199.05845272511179.9415472753
303584428573017.25875828611410.7412417139
304573100574855.923730299-1755.92373029911
305567456567093.780822221362.21917777881
306569028571878.516376112-2850.51637611212
307620735625692.622535116-4957.62253511592
308628884641147.381587166-12263.3815871663
309628232624258.064537073973.93546293036
310612117620285.79458643-8168.7945864303
311595404604260.815558894-8856.81555889372
312597141603589.173253838-6448.17325383751







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
313597769.420541134582808.645363648612730.19571862
314584480.055929086563259.338905935605700.772952236
315566645.893671768539943.5529543593348.234389235
316553777.01842245521924.293444925585629.743399975
317544761.317805138507913.727853819581608.907756457
318545916.698383991504141.775546132587691.62122185
319599384.26309491552699.396646595646069.129543224
320616461.239939383564852.854914064668069.624964701
321610609.743258175554044.091886339667175.394630012
322600262.49793967538692.196056129661832.799823211
323590588.486687358523956.69495256657220.278422156
324597813.626817866526056.839748385669570.413887348

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
313 & 597769.420541134 & 582808.645363648 & 612730.19571862 \tabularnewline
314 & 584480.055929086 & 563259.338905935 & 605700.772952236 \tabularnewline
315 & 566645.893671768 & 539943.5529543 & 593348.234389235 \tabularnewline
316 & 553777.01842245 & 521924.293444925 & 585629.743399975 \tabularnewline
317 & 544761.317805138 & 507913.727853819 & 581608.907756457 \tabularnewline
318 & 545916.698383991 & 504141.775546132 & 587691.62122185 \tabularnewline
319 & 599384.26309491 & 552699.396646595 & 646069.129543224 \tabularnewline
320 & 616461.239939383 & 564852.854914064 & 668069.624964701 \tabularnewline
321 & 610609.743258175 & 554044.091886339 & 667175.394630012 \tabularnewline
322 & 600262.49793967 & 538692.196056129 & 661832.799823211 \tabularnewline
323 & 590588.486687358 & 523956.69495256 & 657220.278422156 \tabularnewline
324 & 597813.626817866 & 526056.839748385 & 669570.413887348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148171&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]313[/C][C]597769.420541134[/C][C]582808.645363648[/C][C]612730.19571862[/C][/ROW]
[ROW][C]314[/C][C]584480.055929086[/C][C]563259.338905935[/C][C]605700.772952236[/C][/ROW]
[ROW][C]315[/C][C]566645.893671768[/C][C]539943.5529543[/C][C]593348.234389235[/C][/ROW]
[ROW][C]316[/C][C]553777.01842245[/C][C]521924.293444925[/C][C]585629.743399975[/C][/ROW]
[ROW][C]317[/C][C]544761.317805138[/C][C]507913.727853819[/C][C]581608.907756457[/C][/ROW]
[ROW][C]318[/C][C]545916.698383991[/C][C]504141.775546132[/C][C]587691.62122185[/C][/ROW]
[ROW][C]319[/C][C]599384.26309491[/C][C]552699.396646595[/C][C]646069.129543224[/C][/ROW]
[ROW][C]320[/C][C]616461.239939383[/C][C]564852.854914064[/C][C]668069.624964701[/C][/ROW]
[ROW][C]321[/C][C]610609.743258175[/C][C]554044.091886339[/C][C]667175.394630012[/C][/ROW]
[ROW][C]322[/C][C]600262.49793967[/C][C]538692.196056129[/C][C]661832.799823211[/C][/ROW]
[ROW][C]323[/C][C]590588.486687358[/C][C]523956.69495256[/C][C]657220.278422156[/C][/ROW]
[ROW][C]324[/C][C]597813.626817866[/C][C]526056.839748385[/C][C]669570.413887348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148171&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148171&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
313597769.420541134582808.645363648612730.19571862
314584480.055929086563259.338905935605700.772952236
315566645.893671768539943.5529543593348.234389235
316553777.01842245521924.293444925585629.743399975
317544761.317805138507913.727853819581608.907756457
318545916.698383991504141.775546132587691.62122185
319599384.26309491552699.396646595646069.129543224
320616461.239939383564852.854914064668069.624964701
321610609.743258175554044.091886339667175.394630012
322600262.49793967538692.196056129661832.799823211
323590588.486687358523956.69495256657220.278422156
324597813.626817866526056.839748385669570.413887348



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')