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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 29 Nov 2011 05:03:27 -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/t132256104758zzjfm76j00p1u.htm/, Retrieved Thu, 18 Apr 2024 00:29:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148152, Retrieved Thu, 18 Apr 2024 00:29:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsExponential Smoothing
Estimated Impact98
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMPD  [Exponential Smoothing] [Workshop_8: Niet-...] [2011-11-28 23:01:38] [f722e8e78b9e5c5ebaa2263f273aa636]
- R P       [Exponential Smoothing] [Workshop_8: Niet-...] [2011-11-29 10:03:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
- RMPD        [(Partial) Autocorrelation Function] [Paper: ACF] [2011-12-23 11:29:16] [f722e8e78b9e5c5ebaa2263f273aa636]
- R             [(Partial) Autocorrelation Function] [Paper: ACF] [2011-12-23 11:34:41] [f722e8e78b9e5c5ebaa2263f273aa636]
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Dataseries X:
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
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258
516922
507561
492622
490243
469357
477580
528379
533590
517945
506174
501866
516141
528222
532638
536322
536535
523597
536214
586570
596594
580523
564478
557560
575093
580112
574761
563250
551531
537034
544686
600991
604378
586111
563668
548604
551174
555654




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148152&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148152&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148152&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.661999366866233
beta0.121510167209329
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.661999366866233 \tabularnewline
beta & 0.121510167209329 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148152&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]0.661999366866233[/C][/ROW]
[ROW][C]beta[/C][C]0.121510167209329[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148152&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148152&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
alpha0.661999366866233
beta0.121510167209329
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13423113411328.02938034211784.970619658
14418873415710.8140127273162.18598727311
15405733405479.852490458253.147509542119
16397812398418.722435759-606.722435759439
17389918390636.84614569-718.846145689662
18391116391798.253628902-682.25362890237
19443814446728.130089375-2914.13008937461
20460373456531.0524640223841.94753597805
21455422456355.705545378-933.70554537815
22456288454198.8140263862089.18597361393
23452233453786.419842097-1553.41984209727
24459256459798.458026488-542.458026488195
25461146464463.236354482-3317.23635448195
26451391455779.233312991-4388.23331299104
27443101438804.659479244296.34052076016
28438810433692.7344302215117.26556977927
29430457429685.922682176771.077317824413
30435721431989.5617676443731.43823235593
31488280489585.494553109-1305.49455310899
32505814503364.859998732449.14000127045
33502338501169.2335025471168.76649745274
34500910502110.970408974-1200.97040897352
35501434498709.6866872172724.31331278273
36515476508659.7815960336816.21840396733
37520862518614.5459650162247.45403498434
38519517515056.4122910324460.58770896809
39511805509390.9854277632414.01457223657
40508607505674.8629334752932.13706652547
41505327500941.1400932164385.85990678408
42511435509117.7956615672317.20433843293
43570158566440.6883835683717.31161643239
44591665587583.9183285194081.08167148125
45593572588936.8430913864635.15690861433
46586346594552.164886597-8206.16488659685
47586063590456.509026776-4393.5090267756
48591504599121.435188072-7617.4351880718
49594033598859.605293953-4826.60529395333
50585597591680.175048705-6083.17504870472
51572450577808.58991659-5358.58991659037
52562917567962.4573061-5045.45730610029
53554675556637.539756475-1962.53975647478
54553997557600.29727847-3603.29727846989
55601310608688.761127991-7378.76112799149
56622255618928.4905037153326.50949628546
57616735616227.607274152507.392725847661
58606480610696.381503927-4216.38150392729
59595079606777.981212973-11698.9812129727
60598588605176.692076504-6588.69207650423
61599917602281.635229646-2364.63522964634
62591573592247.789742626-674.789742625551
63575489578576.994640837-3087.99464083742
64567223566898.011732237324.988267763401
65555338557160.528664803-1822.52866480255
66555252554662.833632154589.166367846192
67608249604589.2741863153659.72581368487
68630859623981.4728417716877.52715822915
69628632621190.7500983927441.24990160821
70624435617723.104073996711.89592600998
71609670618459.169302084-8789.1693020839
72615830620694.595253202-4864.59525320167
73621170620690.449533188479.550466811983
74604212613661.233566408-9449.23356640816
75584348593210.895747495-8862.89574749477
76573717578242.789623333-4525.78962333279
77555234563558.304963063-8324.30496306252
78544897556038.664333912-11141.6643339121
79598866596760.6012159832105.39878401696
80620081613609.8735140746471.12648592645
81607699608106.379958165-407.37995816546
82589960595930.810292937-5970.81029293686
83578665578745.756138239-80.7561382389395
84580166584487.350308881-4321.35030888114
85579457583107.55117556-3650.55117555987
86571560566114.4454414275445.55455857259
87560460553046.9322789567413.06772104371
88551397548952.9829421412444.01705785899
89536763536792.788798516-29.7887985160341
90540562533673.2348723446888.76512765617
91588184592120.573371061-3936.57337106112
92607049607271.421514756-222.421514756046
93598968595299.1760631413668.82393685926
94577644584556.808426011-6912.80842601147
95562640569278.420739365-6638.42073936539
96565867569257.451913665-3390.45191366517
97561274568807.448937224-7533.448937224
98554144552092.8293657792051.17063422105
99539900536944.6863468232955.31365317723
100526271527363.013633158-1092.01363315841
101511841510884.233644638956.766355361906
102505282509694.024547604-4412.02454760403
103554083555030.014895536-947.014895535889
104584225571684.55231067112540.4476893289
105568858568772.42017209485.5798279060982
106539516551088.972404021-11572.9724040207
107521612531451.063988142-9839.06398814183
108525562528784.389904822-3222.38990482199
109526519525434.1301317461084.86986825382
110515713516746.516094134-1033.5160941339
111503454498695.8586521494758.14134785102
112489301487918.6217064681382.37829353189
113479020472948.3799307396071.62006926077
114475102472918.9864820072183.01351799263
115523682523912.006341023-230.006341022672
116551528545777.592809195750.40719080996
117531626533792.135380974-2166.13538097357
118511037510127.75878681909.241213190078
119492417499793.498218874-7376.49821887363
120492188501645.937276817-9457.9372768167
121492865495774.476481916-2909.4764819165
122480961483556.158915661-2595.15891566087
123461935466133.2278117-4198.2278117002
124456608447269.3718840249338.62811597629
125441977438774.6289041623202.37109583814
126439148434924.1413429974223.85865700297
127488180486009.460395852170.53960415063
128520564511235.5526487339328.44735126675
129501492498980.7377802332511.26221976697
130485025479866.3015561625158.69844383816
131464196470300.445562592-6104.44556259213
132460170473149.630181608-12979.6301816076
133467037467735.086277662-698.086277662253
134460070457839.7220947722230.27790522826
135447988444210.3202082443777.67979175557
136442867436984.4865834515882.51341654861
137436087425632.24107811210454.7589218881
138431328429015.9746493752312.02535062528
139484015480075.7324556513939.26754434884
140509673510968.469030339-1295.46903033875
141512927490598.20139241922328.7986075813
142502831488313.69863474614517.301365254
143470984484704.986628235-13720.986628235
144471067483144.241787353-12077.2417873525
145476049485506.868511864-9457.86851186352
146474605473126.3096013721478.6903986283
147470439461785.909257358653.09074264951
148461251461154.73524057496.2647594260634
149454724449707.6803722775016.31962772313
150455626448491.7170066567134.28299334354
151516847505434.51148126311412.4885187367
152525192542247.010910813-17055.0109108132
153522975520903.1014304672071.89856953284
154518585502412.94211959716172.0578804035
155509239490332.91615944818906.0838405523
156512238513529.165861684-1291.16586168431
157519164527387.453811535-8223.45381153515
158517009523089.872344301-6080.87234430056
159509933512131.141356827-2198.14135682659
160509127503512.5198550955614.4801449047
161500857499913.658968299943.341031700955
162506971498921.7875508948049.21244910639
163569323560194.4257723469128.57422765368
164579714587967.350131651-8253.35013165069
165577992581717.452149674-3725.4521496743
166565464566491.386343911-1027.38634391106
167547344544901.9976004372442.00239956263
168554788550000.543513284787.45648672013
169562325565656.911057616-3331.91105761589
170560854565832.348858958-4978.34885895811
171555332557515.167030231-2183.1670302311
172543599552147.647844332-8548.64784433227
173536662537055.198413566-393.198413566104
174542722536934.0581929075787.94180709287
175593530596246.396243316-2716.39624331577
176610763608521.8854860272241.11451397301
177612613609812.9492164872800.05078351288
178611324599406.8197448811917.1802551195
179594167588188.7475148275978.25248517317
180595454597334.874472989-1880.874472989
181590865606209.882300872-15344.8823008724
182589379597287.347005847-7908.34700584714
183584428587150.69673046-2722.69673045946
184573100578406.488340622-5306.4883406224
185567456567609.707368981-153.707368980744
186569028569148.417802284-120.41780228389
187620735620611.76591138123.234088619705
188628884635607.961316141-6723.9613161413
189628232629597.154645877-1365.15464587719
190612117617624.292978065-5507.29297806451
191595404589571.2861866065832.71381339431
192597141592660.3867014094480.61329859053
193593408598403.278062761-4995.2780627613
194590072596885.67226689-6813.67226689041
195579799587354.448717058-7555.4487170584
196574205572276.893140391928.10685961077
197572775566332.2559432926442.74405670806
198572942571100.8843089571841.11569104309
199619567622954.725287527-3387.72528752661
200625809632039.495515016-6230.49551501614
201619916626933.521247073-7017.52124707308
202587625608130.954983854-20505.9549838543
203565742571087.48963205-5345.48963205004
204557274562526.161614463-5252.16161446262
205560576554046.7497230036529.25027699675
206548854555894.429925729-7040.42992572894
207531673542294.805658476-10621.805658476
208525919524478.5484455651440.45155443484
209511038515783.584080567-4745.58408056712
210498662506736.75786489-8074.75786488969
211555362544607.88069348910754.1193065105
212564591557580.185461787010.81453822006
213541657557525.56177582-15868.5617758202
214527070524144.1654138862925.83458611381
215509846505461.2741198884384.72588011192
216514258501880.08001710212377.9199828981
217516922508979.2457961227942.75420387834
218507561507215.156106733345.843893267447
219492622497927.934377748-5305.93437774765
220490243488768.6392190141474.36078098568
221469357479068.774482755-9711.774482755
222477580466273.12758516811306.8724148318
223528379525562.1584889132816.84151108749
224533590533599.387818635-9.38781863509212
225517945522184.085108738-4239.08510873828
226506174504809.3180550391364.68194496143
227501866487415.87755207914450.1224479209
228516141495839.15795683720301.8420431633
229528222509961.74751333318260.2524866667
230532638516566.89188133316071.1081186666
231536322521151.232510415170.7674895995
232536535534858.1359191781676.8640808221
233523597528546.587572391-4949.58757239091
234536214533426.0701542322787.92984576803
235586570590938.918660304-4368.91866030393
236596594599418.879953302-2824.87995330198
237580523590638.573608359-10115.5736083586
238564478576723.439737901-12245.4397379007
239557560559103.989034245-1543.98903424502
240575093561991.49646413101.503536
241580112573152.6489600296959.35103997099
242574761573122.8719785331638.12802146666
243563250568273.489732491-5023.48973249085
244551531562851.657205295-11320.6572052952
245537034543451.294485051-6417.2944850506
246544686547611.66131331-2925.66131330968
247600991596100.7169758034890.2830241971
248604378609154.577172334-4776.57717233396
249586111594383.422774296-8272.42277429625
250563668578882.253245284-15214.2532452842
251548604560589.432418602-11985.4324186022
252551174558349.876035365-7175.87603536528
253555654549215.2386044176438.7613955827

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 423113 & 411328.029380342 & 11784.970619658 \tabularnewline
14 & 418873 & 415710.814012727 & 3162.18598727311 \tabularnewline
15 & 405733 & 405479.852490458 & 253.147509542119 \tabularnewline
16 & 397812 & 398418.722435759 & -606.722435759439 \tabularnewline
17 & 389918 & 390636.84614569 & -718.846145689662 \tabularnewline
18 & 391116 & 391798.253628902 & -682.25362890237 \tabularnewline
19 & 443814 & 446728.130089375 & -2914.13008937461 \tabularnewline
20 & 460373 & 456531.052464022 & 3841.94753597805 \tabularnewline
21 & 455422 & 456355.705545378 & -933.70554537815 \tabularnewline
22 & 456288 & 454198.814026386 & 2089.18597361393 \tabularnewline
23 & 452233 & 453786.419842097 & -1553.41984209727 \tabularnewline
24 & 459256 & 459798.458026488 & -542.458026488195 \tabularnewline
25 & 461146 & 464463.236354482 & -3317.23635448195 \tabularnewline
26 & 451391 & 455779.233312991 & -4388.23331299104 \tabularnewline
27 & 443101 & 438804.65947924 & 4296.34052076016 \tabularnewline
28 & 438810 & 433692.734430221 & 5117.26556977927 \tabularnewline
29 & 430457 & 429685.922682176 & 771.077317824413 \tabularnewline
30 & 435721 & 431989.561767644 & 3731.43823235593 \tabularnewline
31 & 488280 & 489585.494553109 & -1305.49455310899 \tabularnewline
32 & 505814 & 503364.85999873 & 2449.14000127045 \tabularnewline
33 & 502338 & 501169.233502547 & 1168.76649745274 \tabularnewline
34 & 500910 & 502110.970408974 & -1200.97040897352 \tabularnewline
35 & 501434 & 498709.686687217 & 2724.31331278273 \tabularnewline
36 & 515476 & 508659.781596033 & 6816.21840396733 \tabularnewline
37 & 520862 & 518614.545965016 & 2247.45403498434 \tabularnewline
38 & 519517 & 515056.412291032 & 4460.58770896809 \tabularnewline
39 & 511805 & 509390.985427763 & 2414.01457223657 \tabularnewline
40 & 508607 & 505674.862933475 & 2932.13706652547 \tabularnewline
41 & 505327 & 500941.140093216 & 4385.85990678408 \tabularnewline
42 & 511435 & 509117.795661567 & 2317.20433843293 \tabularnewline
43 & 570158 & 566440.688383568 & 3717.31161643239 \tabularnewline
44 & 591665 & 587583.918328519 & 4081.08167148125 \tabularnewline
45 & 593572 & 588936.843091386 & 4635.15690861433 \tabularnewline
46 & 586346 & 594552.164886597 & -8206.16488659685 \tabularnewline
47 & 586063 & 590456.509026776 & -4393.5090267756 \tabularnewline
48 & 591504 & 599121.435188072 & -7617.4351880718 \tabularnewline
49 & 594033 & 598859.605293953 & -4826.60529395333 \tabularnewline
50 & 585597 & 591680.175048705 & -6083.17504870472 \tabularnewline
51 & 572450 & 577808.58991659 & -5358.58991659037 \tabularnewline
52 & 562917 & 567962.4573061 & -5045.45730610029 \tabularnewline
53 & 554675 & 556637.539756475 & -1962.53975647478 \tabularnewline
54 & 553997 & 557600.29727847 & -3603.29727846989 \tabularnewline
55 & 601310 & 608688.761127991 & -7378.76112799149 \tabularnewline
56 & 622255 & 618928.490503715 & 3326.50949628546 \tabularnewline
57 & 616735 & 616227.607274152 & 507.392725847661 \tabularnewline
58 & 606480 & 610696.381503927 & -4216.38150392729 \tabularnewline
59 & 595079 & 606777.981212973 & -11698.9812129727 \tabularnewline
60 & 598588 & 605176.692076504 & -6588.69207650423 \tabularnewline
61 & 599917 & 602281.635229646 & -2364.63522964634 \tabularnewline
62 & 591573 & 592247.789742626 & -674.789742625551 \tabularnewline
63 & 575489 & 578576.994640837 & -3087.99464083742 \tabularnewline
64 & 567223 & 566898.011732237 & 324.988267763401 \tabularnewline
65 & 555338 & 557160.528664803 & -1822.52866480255 \tabularnewline
66 & 555252 & 554662.833632154 & 589.166367846192 \tabularnewline
67 & 608249 & 604589.274186315 & 3659.72581368487 \tabularnewline
68 & 630859 & 623981.472841771 & 6877.52715822915 \tabularnewline
69 & 628632 & 621190.750098392 & 7441.24990160821 \tabularnewline
70 & 624435 & 617723.10407399 & 6711.89592600998 \tabularnewline
71 & 609670 & 618459.169302084 & -8789.1693020839 \tabularnewline
72 & 615830 & 620694.595253202 & -4864.59525320167 \tabularnewline
73 & 621170 & 620690.449533188 & 479.550466811983 \tabularnewline
74 & 604212 & 613661.233566408 & -9449.23356640816 \tabularnewline
75 & 584348 & 593210.895747495 & -8862.89574749477 \tabularnewline
76 & 573717 & 578242.789623333 & -4525.78962333279 \tabularnewline
77 & 555234 & 563558.304963063 & -8324.30496306252 \tabularnewline
78 & 544897 & 556038.664333912 & -11141.6643339121 \tabularnewline
79 & 598866 & 596760.601215983 & 2105.39878401696 \tabularnewline
80 & 620081 & 613609.873514074 & 6471.12648592645 \tabularnewline
81 & 607699 & 608106.379958165 & -407.37995816546 \tabularnewline
82 & 589960 & 595930.810292937 & -5970.81029293686 \tabularnewline
83 & 578665 & 578745.756138239 & -80.7561382389395 \tabularnewline
84 & 580166 & 584487.350308881 & -4321.35030888114 \tabularnewline
85 & 579457 & 583107.55117556 & -3650.55117555987 \tabularnewline
86 & 571560 & 566114.445441427 & 5445.55455857259 \tabularnewline
87 & 560460 & 553046.932278956 & 7413.06772104371 \tabularnewline
88 & 551397 & 548952.982942141 & 2444.01705785899 \tabularnewline
89 & 536763 & 536792.788798516 & -29.7887985160341 \tabularnewline
90 & 540562 & 533673.234872344 & 6888.76512765617 \tabularnewline
91 & 588184 & 592120.573371061 & -3936.57337106112 \tabularnewline
92 & 607049 & 607271.421514756 & -222.421514756046 \tabularnewline
93 & 598968 & 595299.176063141 & 3668.82393685926 \tabularnewline
94 & 577644 & 584556.808426011 & -6912.80842601147 \tabularnewline
95 & 562640 & 569278.420739365 & -6638.42073936539 \tabularnewline
96 & 565867 & 569257.451913665 & -3390.45191366517 \tabularnewline
97 & 561274 & 568807.448937224 & -7533.448937224 \tabularnewline
98 & 554144 & 552092.829365779 & 2051.17063422105 \tabularnewline
99 & 539900 & 536944.686346823 & 2955.31365317723 \tabularnewline
100 & 526271 & 527363.013633158 & -1092.01363315841 \tabularnewline
101 & 511841 & 510884.233644638 & 956.766355361906 \tabularnewline
102 & 505282 & 509694.024547604 & -4412.02454760403 \tabularnewline
103 & 554083 & 555030.014895536 & -947.014895535889 \tabularnewline
104 & 584225 & 571684.552310671 & 12540.4476893289 \tabularnewline
105 & 568858 & 568772.420172094 & 85.5798279060982 \tabularnewline
106 & 539516 & 551088.972404021 & -11572.9724040207 \tabularnewline
107 & 521612 & 531451.063988142 & -9839.06398814183 \tabularnewline
108 & 525562 & 528784.389904822 & -3222.38990482199 \tabularnewline
109 & 526519 & 525434.130131746 & 1084.86986825382 \tabularnewline
110 & 515713 & 516746.516094134 & -1033.5160941339 \tabularnewline
111 & 503454 & 498695.858652149 & 4758.14134785102 \tabularnewline
112 & 489301 & 487918.621706468 & 1382.37829353189 \tabularnewline
113 & 479020 & 472948.379930739 & 6071.62006926077 \tabularnewline
114 & 475102 & 472918.986482007 & 2183.01351799263 \tabularnewline
115 & 523682 & 523912.006341023 & -230.006341022672 \tabularnewline
116 & 551528 & 545777.59280919 & 5750.40719080996 \tabularnewline
117 & 531626 & 533792.135380974 & -2166.13538097357 \tabularnewline
118 & 511037 & 510127.75878681 & 909.241213190078 \tabularnewline
119 & 492417 & 499793.498218874 & -7376.49821887363 \tabularnewline
120 & 492188 & 501645.937276817 & -9457.9372768167 \tabularnewline
121 & 492865 & 495774.476481916 & -2909.4764819165 \tabularnewline
122 & 480961 & 483556.158915661 & -2595.15891566087 \tabularnewline
123 & 461935 & 466133.2278117 & -4198.2278117002 \tabularnewline
124 & 456608 & 447269.371884024 & 9338.62811597629 \tabularnewline
125 & 441977 & 438774.628904162 & 3202.37109583814 \tabularnewline
126 & 439148 & 434924.141342997 & 4223.85865700297 \tabularnewline
127 & 488180 & 486009.46039585 & 2170.53960415063 \tabularnewline
128 & 520564 & 511235.552648733 & 9328.44735126675 \tabularnewline
129 & 501492 & 498980.737780233 & 2511.26221976697 \tabularnewline
130 & 485025 & 479866.301556162 & 5158.69844383816 \tabularnewline
131 & 464196 & 470300.445562592 & -6104.44556259213 \tabularnewline
132 & 460170 & 473149.630181608 & -12979.6301816076 \tabularnewline
133 & 467037 & 467735.086277662 & -698.086277662253 \tabularnewline
134 & 460070 & 457839.722094772 & 2230.27790522826 \tabularnewline
135 & 447988 & 444210.320208244 & 3777.67979175557 \tabularnewline
136 & 442867 & 436984.486583451 & 5882.51341654861 \tabularnewline
137 & 436087 & 425632.241078112 & 10454.7589218881 \tabularnewline
138 & 431328 & 429015.974649375 & 2312.02535062528 \tabularnewline
139 & 484015 & 480075.732455651 & 3939.26754434884 \tabularnewline
140 & 509673 & 510968.469030339 & -1295.46903033875 \tabularnewline
141 & 512927 & 490598.201392419 & 22328.7986075813 \tabularnewline
142 & 502831 & 488313.698634746 & 14517.301365254 \tabularnewline
143 & 470984 & 484704.986628235 & -13720.986628235 \tabularnewline
144 & 471067 & 483144.241787353 & -12077.2417873525 \tabularnewline
145 & 476049 & 485506.868511864 & -9457.86851186352 \tabularnewline
146 & 474605 & 473126.309601372 & 1478.6903986283 \tabularnewline
147 & 470439 & 461785.90925735 & 8653.09074264951 \tabularnewline
148 & 461251 & 461154.735240574 & 96.2647594260634 \tabularnewline
149 & 454724 & 449707.680372277 & 5016.31962772313 \tabularnewline
150 & 455626 & 448491.717006656 & 7134.28299334354 \tabularnewline
151 & 516847 & 505434.511481263 & 11412.4885187367 \tabularnewline
152 & 525192 & 542247.010910813 & -17055.0109108132 \tabularnewline
153 & 522975 & 520903.101430467 & 2071.89856953284 \tabularnewline
154 & 518585 & 502412.942119597 & 16172.0578804035 \tabularnewline
155 & 509239 & 490332.916159448 & 18906.0838405523 \tabularnewline
156 & 512238 & 513529.165861684 & -1291.16586168431 \tabularnewline
157 & 519164 & 527387.453811535 & -8223.45381153515 \tabularnewline
158 & 517009 & 523089.872344301 & -6080.87234430056 \tabularnewline
159 & 509933 & 512131.141356827 & -2198.14135682659 \tabularnewline
160 & 509127 & 503512.519855095 & 5614.4801449047 \tabularnewline
161 & 500857 & 499913.658968299 & 943.341031700955 \tabularnewline
162 & 506971 & 498921.787550894 & 8049.21244910639 \tabularnewline
163 & 569323 & 560194.425772346 & 9128.57422765368 \tabularnewline
164 & 579714 & 587967.350131651 & -8253.35013165069 \tabularnewline
165 & 577992 & 581717.452149674 & -3725.4521496743 \tabularnewline
166 & 565464 & 566491.386343911 & -1027.38634391106 \tabularnewline
167 & 547344 & 544901.997600437 & 2442.00239956263 \tabularnewline
168 & 554788 & 550000.54351328 & 4787.45648672013 \tabularnewline
169 & 562325 & 565656.911057616 & -3331.91105761589 \tabularnewline
170 & 560854 & 565832.348858958 & -4978.34885895811 \tabularnewline
171 & 555332 & 557515.167030231 & -2183.1670302311 \tabularnewline
172 & 543599 & 552147.647844332 & -8548.64784433227 \tabularnewline
173 & 536662 & 537055.198413566 & -393.198413566104 \tabularnewline
174 & 542722 & 536934.058192907 & 5787.94180709287 \tabularnewline
175 & 593530 & 596246.396243316 & -2716.39624331577 \tabularnewline
176 & 610763 & 608521.885486027 & 2241.11451397301 \tabularnewline
177 & 612613 & 609812.949216487 & 2800.05078351288 \tabularnewline
178 & 611324 & 599406.81974488 & 11917.1802551195 \tabularnewline
179 & 594167 & 588188.747514827 & 5978.25248517317 \tabularnewline
180 & 595454 & 597334.874472989 & -1880.874472989 \tabularnewline
181 & 590865 & 606209.882300872 & -15344.8823008724 \tabularnewline
182 & 589379 & 597287.347005847 & -7908.34700584714 \tabularnewline
183 & 584428 & 587150.69673046 & -2722.69673045946 \tabularnewline
184 & 573100 & 578406.488340622 & -5306.4883406224 \tabularnewline
185 & 567456 & 567609.707368981 & -153.707368980744 \tabularnewline
186 & 569028 & 569148.417802284 & -120.41780228389 \tabularnewline
187 & 620735 & 620611.76591138 & 123.234088619705 \tabularnewline
188 & 628884 & 635607.961316141 & -6723.9613161413 \tabularnewline
189 & 628232 & 629597.154645877 & -1365.15464587719 \tabularnewline
190 & 612117 & 617624.292978065 & -5507.29297806451 \tabularnewline
191 & 595404 & 589571.286186606 & 5832.71381339431 \tabularnewline
192 & 597141 & 592660.386701409 & 4480.61329859053 \tabularnewline
193 & 593408 & 598403.278062761 & -4995.2780627613 \tabularnewline
194 & 590072 & 596885.67226689 & -6813.67226689041 \tabularnewline
195 & 579799 & 587354.448717058 & -7555.4487170584 \tabularnewline
196 & 574205 & 572276.89314039 & 1928.10685961077 \tabularnewline
197 & 572775 & 566332.255943292 & 6442.74405670806 \tabularnewline
198 & 572942 & 571100.884308957 & 1841.11569104309 \tabularnewline
199 & 619567 & 622954.725287527 & -3387.72528752661 \tabularnewline
200 & 625809 & 632039.495515016 & -6230.49551501614 \tabularnewline
201 & 619916 & 626933.521247073 & -7017.52124707308 \tabularnewline
202 & 587625 & 608130.954983854 & -20505.9549838543 \tabularnewline
203 & 565742 & 571087.48963205 & -5345.48963205004 \tabularnewline
204 & 557274 & 562526.161614463 & -5252.16161446262 \tabularnewline
205 & 560576 & 554046.749723003 & 6529.25027699675 \tabularnewline
206 & 548854 & 555894.429925729 & -7040.42992572894 \tabularnewline
207 & 531673 & 542294.805658476 & -10621.805658476 \tabularnewline
208 & 525919 & 524478.548445565 & 1440.45155443484 \tabularnewline
209 & 511038 & 515783.584080567 & -4745.58408056712 \tabularnewline
210 & 498662 & 506736.75786489 & -8074.75786488969 \tabularnewline
211 & 555362 & 544607.880693489 & 10754.1193065105 \tabularnewline
212 & 564591 & 557580.18546178 & 7010.81453822006 \tabularnewline
213 & 541657 & 557525.56177582 & -15868.5617758202 \tabularnewline
214 & 527070 & 524144.165413886 & 2925.83458611381 \tabularnewline
215 & 509846 & 505461.274119888 & 4384.72588011192 \tabularnewline
216 & 514258 & 501880.080017102 & 12377.9199828981 \tabularnewline
217 & 516922 & 508979.245796122 & 7942.75420387834 \tabularnewline
218 & 507561 & 507215.156106733 & 345.843893267447 \tabularnewline
219 & 492622 & 497927.934377748 & -5305.93437774765 \tabularnewline
220 & 490243 & 488768.639219014 & 1474.36078098568 \tabularnewline
221 & 469357 & 479068.774482755 & -9711.774482755 \tabularnewline
222 & 477580 & 466273.127585168 & 11306.8724148318 \tabularnewline
223 & 528379 & 525562.158488913 & 2816.84151108749 \tabularnewline
224 & 533590 & 533599.387818635 & -9.38781863509212 \tabularnewline
225 & 517945 & 522184.085108738 & -4239.08510873828 \tabularnewline
226 & 506174 & 504809.318055039 & 1364.68194496143 \tabularnewline
227 & 501866 & 487415.877552079 & 14450.1224479209 \tabularnewline
228 & 516141 & 495839.157956837 & 20301.8420431633 \tabularnewline
229 & 528222 & 509961.747513333 & 18260.2524866667 \tabularnewline
230 & 532638 & 516566.891881333 & 16071.1081186666 \tabularnewline
231 & 536322 & 521151.2325104 & 15170.7674895995 \tabularnewline
232 & 536535 & 534858.135919178 & 1676.8640808221 \tabularnewline
233 & 523597 & 528546.587572391 & -4949.58757239091 \tabularnewline
234 & 536214 & 533426.070154232 & 2787.92984576803 \tabularnewline
235 & 586570 & 590938.918660304 & -4368.91866030393 \tabularnewline
236 & 596594 & 599418.879953302 & -2824.87995330198 \tabularnewline
237 & 580523 & 590638.573608359 & -10115.5736083586 \tabularnewline
238 & 564478 & 576723.439737901 & -12245.4397379007 \tabularnewline
239 & 557560 & 559103.989034245 & -1543.98903424502 \tabularnewline
240 & 575093 & 561991.496464 & 13101.503536 \tabularnewline
241 & 580112 & 573152.648960029 & 6959.35103997099 \tabularnewline
242 & 574761 & 573122.871978533 & 1638.12802146666 \tabularnewline
243 & 563250 & 568273.489732491 & -5023.48973249085 \tabularnewline
244 & 551531 & 562851.657205295 & -11320.6572052952 \tabularnewline
245 & 537034 & 543451.294485051 & -6417.2944850506 \tabularnewline
246 & 544686 & 547611.66131331 & -2925.66131330968 \tabularnewline
247 & 600991 & 596100.716975803 & 4890.2830241971 \tabularnewline
248 & 604378 & 609154.577172334 & -4776.57717233396 \tabularnewline
249 & 586111 & 594383.422774296 & -8272.42277429625 \tabularnewline
250 & 563668 & 578882.253245284 & -15214.2532452842 \tabularnewline
251 & 548604 & 560589.432418602 & -11985.4324186022 \tabularnewline
252 & 551174 & 558349.876035365 & -7175.87603536528 \tabularnewline
253 & 555654 & 549215.238604417 & 6438.7613955827 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148152&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]423113[/C][C]411328.029380342[/C][C]11784.970619658[/C][/ROW]
[ROW][C]14[/C][C]418873[/C][C]415710.814012727[/C][C]3162.18598727311[/C][/ROW]
[ROW][C]15[/C][C]405733[/C][C]405479.852490458[/C][C]253.147509542119[/C][/ROW]
[ROW][C]16[/C][C]397812[/C][C]398418.722435759[/C][C]-606.722435759439[/C][/ROW]
[ROW][C]17[/C][C]389918[/C][C]390636.84614569[/C][C]-718.846145689662[/C][/ROW]
[ROW][C]18[/C][C]391116[/C][C]391798.253628902[/C][C]-682.25362890237[/C][/ROW]
[ROW][C]19[/C][C]443814[/C][C]446728.130089375[/C][C]-2914.13008937461[/C][/ROW]
[ROW][C]20[/C][C]460373[/C][C]456531.052464022[/C][C]3841.94753597805[/C][/ROW]
[ROW][C]21[/C][C]455422[/C][C]456355.705545378[/C][C]-933.70554537815[/C][/ROW]
[ROW][C]22[/C][C]456288[/C][C]454198.814026386[/C][C]2089.18597361393[/C][/ROW]
[ROW][C]23[/C][C]452233[/C][C]453786.419842097[/C][C]-1553.41984209727[/C][/ROW]
[ROW][C]24[/C][C]459256[/C][C]459798.458026488[/C][C]-542.458026488195[/C][/ROW]
[ROW][C]25[/C][C]461146[/C][C]464463.236354482[/C][C]-3317.23635448195[/C][/ROW]
[ROW][C]26[/C][C]451391[/C][C]455779.233312991[/C][C]-4388.23331299104[/C][/ROW]
[ROW][C]27[/C][C]443101[/C][C]438804.65947924[/C][C]4296.34052076016[/C][/ROW]
[ROW][C]28[/C][C]438810[/C][C]433692.734430221[/C][C]5117.26556977927[/C][/ROW]
[ROW][C]29[/C][C]430457[/C][C]429685.922682176[/C][C]771.077317824413[/C][/ROW]
[ROW][C]30[/C][C]435721[/C][C]431989.561767644[/C][C]3731.43823235593[/C][/ROW]
[ROW][C]31[/C][C]488280[/C][C]489585.494553109[/C][C]-1305.49455310899[/C][/ROW]
[ROW][C]32[/C][C]505814[/C][C]503364.85999873[/C][C]2449.14000127045[/C][/ROW]
[ROW][C]33[/C][C]502338[/C][C]501169.233502547[/C][C]1168.76649745274[/C][/ROW]
[ROW][C]34[/C][C]500910[/C][C]502110.970408974[/C][C]-1200.97040897352[/C][/ROW]
[ROW][C]35[/C][C]501434[/C][C]498709.686687217[/C][C]2724.31331278273[/C][/ROW]
[ROW][C]36[/C][C]515476[/C][C]508659.781596033[/C][C]6816.21840396733[/C][/ROW]
[ROW][C]37[/C][C]520862[/C][C]518614.545965016[/C][C]2247.45403498434[/C][/ROW]
[ROW][C]38[/C][C]519517[/C][C]515056.412291032[/C][C]4460.58770896809[/C][/ROW]
[ROW][C]39[/C][C]511805[/C][C]509390.985427763[/C][C]2414.01457223657[/C][/ROW]
[ROW][C]40[/C][C]508607[/C][C]505674.862933475[/C][C]2932.13706652547[/C][/ROW]
[ROW][C]41[/C][C]505327[/C][C]500941.140093216[/C][C]4385.85990678408[/C][/ROW]
[ROW][C]42[/C][C]511435[/C][C]509117.795661567[/C][C]2317.20433843293[/C][/ROW]
[ROW][C]43[/C][C]570158[/C][C]566440.688383568[/C][C]3717.31161643239[/C][/ROW]
[ROW][C]44[/C][C]591665[/C][C]587583.918328519[/C][C]4081.08167148125[/C][/ROW]
[ROW][C]45[/C][C]593572[/C][C]588936.843091386[/C][C]4635.15690861433[/C][/ROW]
[ROW][C]46[/C][C]586346[/C][C]594552.164886597[/C][C]-8206.16488659685[/C][/ROW]
[ROW][C]47[/C][C]586063[/C][C]590456.509026776[/C][C]-4393.5090267756[/C][/ROW]
[ROW][C]48[/C][C]591504[/C][C]599121.435188072[/C][C]-7617.4351880718[/C][/ROW]
[ROW][C]49[/C][C]594033[/C][C]598859.605293953[/C][C]-4826.60529395333[/C][/ROW]
[ROW][C]50[/C][C]585597[/C][C]591680.175048705[/C][C]-6083.17504870472[/C][/ROW]
[ROW][C]51[/C][C]572450[/C][C]577808.58991659[/C][C]-5358.58991659037[/C][/ROW]
[ROW][C]52[/C][C]562917[/C][C]567962.4573061[/C][C]-5045.45730610029[/C][/ROW]
[ROW][C]53[/C][C]554675[/C][C]556637.539756475[/C][C]-1962.53975647478[/C][/ROW]
[ROW][C]54[/C][C]553997[/C][C]557600.29727847[/C][C]-3603.29727846989[/C][/ROW]
[ROW][C]55[/C][C]601310[/C][C]608688.761127991[/C][C]-7378.76112799149[/C][/ROW]
[ROW][C]56[/C][C]622255[/C][C]618928.490503715[/C][C]3326.50949628546[/C][/ROW]
[ROW][C]57[/C][C]616735[/C][C]616227.607274152[/C][C]507.392725847661[/C][/ROW]
[ROW][C]58[/C][C]606480[/C][C]610696.381503927[/C][C]-4216.38150392729[/C][/ROW]
[ROW][C]59[/C][C]595079[/C][C]606777.981212973[/C][C]-11698.9812129727[/C][/ROW]
[ROW][C]60[/C][C]598588[/C][C]605176.692076504[/C][C]-6588.69207650423[/C][/ROW]
[ROW][C]61[/C][C]599917[/C][C]602281.635229646[/C][C]-2364.63522964634[/C][/ROW]
[ROW][C]62[/C][C]591573[/C][C]592247.789742626[/C][C]-674.789742625551[/C][/ROW]
[ROW][C]63[/C][C]575489[/C][C]578576.994640837[/C][C]-3087.99464083742[/C][/ROW]
[ROW][C]64[/C][C]567223[/C][C]566898.011732237[/C][C]324.988267763401[/C][/ROW]
[ROW][C]65[/C][C]555338[/C][C]557160.528664803[/C][C]-1822.52866480255[/C][/ROW]
[ROW][C]66[/C][C]555252[/C][C]554662.833632154[/C][C]589.166367846192[/C][/ROW]
[ROW][C]67[/C][C]608249[/C][C]604589.274186315[/C][C]3659.72581368487[/C][/ROW]
[ROW][C]68[/C][C]630859[/C][C]623981.472841771[/C][C]6877.52715822915[/C][/ROW]
[ROW][C]69[/C][C]628632[/C][C]621190.750098392[/C][C]7441.24990160821[/C][/ROW]
[ROW][C]70[/C][C]624435[/C][C]617723.10407399[/C][C]6711.89592600998[/C][/ROW]
[ROW][C]71[/C][C]609670[/C][C]618459.169302084[/C][C]-8789.1693020839[/C][/ROW]
[ROW][C]72[/C][C]615830[/C][C]620694.595253202[/C][C]-4864.59525320167[/C][/ROW]
[ROW][C]73[/C][C]621170[/C][C]620690.449533188[/C][C]479.550466811983[/C][/ROW]
[ROW][C]74[/C][C]604212[/C][C]613661.233566408[/C][C]-9449.23356640816[/C][/ROW]
[ROW][C]75[/C][C]584348[/C][C]593210.895747495[/C][C]-8862.89574749477[/C][/ROW]
[ROW][C]76[/C][C]573717[/C][C]578242.789623333[/C][C]-4525.78962333279[/C][/ROW]
[ROW][C]77[/C][C]555234[/C][C]563558.304963063[/C][C]-8324.30496306252[/C][/ROW]
[ROW][C]78[/C][C]544897[/C][C]556038.664333912[/C][C]-11141.6643339121[/C][/ROW]
[ROW][C]79[/C][C]598866[/C][C]596760.601215983[/C][C]2105.39878401696[/C][/ROW]
[ROW][C]80[/C][C]620081[/C][C]613609.873514074[/C][C]6471.12648592645[/C][/ROW]
[ROW][C]81[/C][C]607699[/C][C]608106.379958165[/C][C]-407.37995816546[/C][/ROW]
[ROW][C]82[/C][C]589960[/C][C]595930.810292937[/C][C]-5970.81029293686[/C][/ROW]
[ROW][C]83[/C][C]578665[/C][C]578745.756138239[/C][C]-80.7561382389395[/C][/ROW]
[ROW][C]84[/C][C]580166[/C][C]584487.350308881[/C][C]-4321.35030888114[/C][/ROW]
[ROW][C]85[/C][C]579457[/C][C]583107.55117556[/C][C]-3650.55117555987[/C][/ROW]
[ROW][C]86[/C][C]571560[/C][C]566114.445441427[/C][C]5445.55455857259[/C][/ROW]
[ROW][C]87[/C][C]560460[/C][C]553046.932278956[/C][C]7413.06772104371[/C][/ROW]
[ROW][C]88[/C][C]551397[/C][C]548952.982942141[/C][C]2444.01705785899[/C][/ROW]
[ROW][C]89[/C][C]536763[/C][C]536792.788798516[/C][C]-29.7887985160341[/C][/ROW]
[ROW][C]90[/C][C]540562[/C][C]533673.234872344[/C][C]6888.76512765617[/C][/ROW]
[ROW][C]91[/C][C]588184[/C][C]592120.573371061[/C][C]-3936.57337106112[/C][/ROW]
[ROW][C]92[/C][C]607049[/C][C]607271.421514756[/C][C]-222.421514756046[/C][/ROW]
[ROW][C]93[/C][C]598968[/C][C]595299.176063141[/C][C]3668.82393685926[/C][/ROW]
[ROW][C]94[/C][C]577644[/C][C]584556.808426011[/C][C]-6912.80842601147[/C][/ROW]
[ROW][C]95[/C][C]562640[/C][C]569278.420739365[/C][C]-6638.42073936539[/C][/ROW]
[ROW][C]96[/C][C]565867[/C][C]569257.451913665[/C][C]-3390.45191366517[/C][/ROW]
[ROW][C]97[/C][C]561274[/C][C]568807.448937224[/C][C]-7533.448937224[/C][/ROW]
[ROW][C]98[/C][C]554144[/C][C]552092.829365779[/C][C]2051.17063422105[/C][/ROW]
[ROW][C]99[/C][C]539900[/C][C]536944.686346823[/C][C]2955.31365317723[/C][/ROW]
[ROW][C]100[/C][C]526271[/C][C]527363.013633158[/C][C]-1092.01363315841[/C][/ROW]
[ROW][C]101[/C][C]511841[/C][C]510884.233644638[/C][C]956.766355361906[/C][/ROW]
[ROW][C]102[/C][C]505282[/C][C]509694.024547604[/C][C]-4412.02454760403[/C][/ROW]
[ROW][C]103[/C][C]554083[/C][C]555030.014895536[/C][C]-947.014895535889[/C][/ROW]
[ROW][C]104[/C][C]584225[/C][C]571684.552310671[/C][C]12540.4476893289[/C][/ROW]
[ROW][C]105[/C][C]568858[/C][C]568772.420172094[/C][C]85.5798279060982[/C][/ROW]
[ROW][C]106[/C][C]539516[/C][C]551088.972404021[/C][C]-11572.9724040207[/C][/ROW]
[ROW][C]107[/C][C]521612[/C][C]531451.063988142[/C][C]-9839.06398814183[/C][/ROW]
[ROW][C]108[/C][C]525562[/C][C]528784.389904822[/C][C]-3222.38990482199[/C][/ROW]
[ROW][C]109[/C][C]526519[/C][C]525434.130131746[/C][C]1084.86986825382[/C][/ROW]
[ROW][C]110[/C][C]515713[/C][C]516746.516094134[/C][C]-1033.5160941339[/C][/ROW]
[ROW][C]111[/C][C]503454[/C][C]498695.858652149[/C][C]4758.14134785102[/C][/ROW]
[ROW][C]112[/C][C]489301[/C][C]487918.621706468[/C][C]1382.37829353189[/C][/ROW]
[ROW][C]113[/C][C]479020[/C][C]472948.379930739[/C][C]6071.62006926077[/C][/ROW]
[ROW][C]114[/C][C]475102[/C][C]472918.986482007[/C][C]2183.01351799263[/C][/ROW]
[ROW][C]115[/C][C]523682[/C][C]523912.006341023[/C][C]-230.006341022672[/C][/ROW]
[ROW][C]116[/C][C]551528[/C][C]545777.59280919[/C][C]5750.40719080996[/C][/ROW]
[ROW][C]117[/C][C]531626[/C][C]533792.135380974[/C][C]-2166.13538097357[/C][/ROW]
[ROW][C]118[/C][C]511037[/C][C]510127.75878681[/C][C]909.241213190078[/C][/ROW]
[ROW][C]119[/C][C]492417[/C][C]499793.498218874[/C][C]-7376.49821887363[/C][/ROW]
[ROW][C]120[/C][C]492188[/C][C]501645.937276817[/C][C]-9457.9372768167[/C][/ROW]
[ROW][C]121[/C][C]492865[/C][C]495774.476481916[/C][C]-2909.4764819165[/C][/ROW]
[ROW][C]122[/C][C]480961[/C][C]483556.158915661[/C][C]-2595.15891566087[/C][/ROW]
[ROW][C]123[/C][C]461935[/C][C]466133.2278117[/C][C]-4198.2278117002[/C][/ROW]
[ROW][C]124[/C][C]456608[/C][C]447269.371884024[/C][C]9338.62811597629[/C][/ROW]
[ROW][C]125[/C][C]441977[/C][C]438774.628904162[/C][C]3202.37109583814[/C][/ROW]
[ROW][C]126[/C][C]439148[/C][C]434924.141342997[/C][C]4223.85865700297[/C][/ROW]
[ROW][C]127[/C][C]488180[/C][C]486009.46039585[/C][C]2170.53960415063[/C][/ROW]
[ROW][C]128[/C][C]520564[/C][C]511235.552648733[/C][C]9328.44735126675[/C][/ROW]
[ROW][C]129[/C][C]501492[/C][C]498980.737780233[/C][C]2511.26221976697[/C][/ROW]
[ROW][C]130[/C][C]485025[/C][C]479866.301556162[/C][C]5158.69844383816[/C][/ROW]
[ROW][C]131[/C][C]464196[/C][C]470300.445562592[/C][C]-6104.44556259213[/C][/ROW]
[ROW][C]132[/C][C]460170[/C][C]473149.630181608[/C][C]-12979.6301816076[/C][/ROW]
[ROW][C]133[/C][C]467037[/C][C]467735.086277662[/C][C]-698.086277662253[/C][/ROW]
[ROW][C]134[/C][C]460070[/C][C]457839.722094772[/C][C]2230.27790522826[/C][/ROW]
[ROW][C]135[/C][C]447988[/C][C]444210.320208244[/C][C]3777.67979175557[/C][/ROW]
[ROW][C]136[/C][C]442867[/C][C]436984.486583451[/C][C]5882.51341654861[/C][/ROW]
[ROW][C]137[/C][C]436087[/C][C]425632.241078112[/C][C]10454.7589218881[/C][/ROW]
[ROW][C]138[/C][C]431328[/C][C]429015.974649375[/C][C]2312.02535062528[/C][/ROW]
[ROW][C]139[/C][C]484015[/C][C]480075.732455651[/C][C]3939.26754434884[/C][/ROW]
[ROW][C]140[/C][C]509673[/C][C]510968.469030339[/C][C]-1295.46903033875[/C][/ROW]
[ROW][C]141[/C][C]512927[/C][C]490598.201392419[/C][C]22328.7986075813[/C][/ROW]
[ROW][C]142[/C][C]502831[/C][C]488313.698634746[/C][C]14517.301365254[/C][/ROW]
[ROW][C]143[/C][C]470984[/C][C]484704.986628235[/C][C]-13720.986628235[/C][/ROW]
[ROW][C]144[/C][C]471067[/C][C]483144.241787353[/C][C]-12077.2417873525[/C][/ROW]
[ROW][C]145[/C][C]476049[/C][C]485506.868511864[/C][C]-9457.86851186352[/C][/ROW]
[ROW][C]146[/C][C]474605[/C][C]473126.309601372[/C][C]1478.6903986283[/C][/ROW]
[ROW][C]147[/C][C]470439[/C][C]461785.90925735[/C][C]8653.09074264951[/C][/ROW]
[ROW][C]148[/C][C]461251[/C][C]461154.735240574[/C][C]96.2647594260634[/C][/ROW]
[ROW][C]149[/C][C]454724[/C][C]449707.680372277[/C][C]5016.31962772313[/C][/ROW]
[ROW][C]150[/C][C]455626[/C][C]448491.717006656[/C][C]7134.28299334354[/C][/ROW]
[ROW][C]151[/C][C]516847[/C][C]505434.511481263[/C][C]11412.4885187367[/C][/ROW]
[ROW][C]152[/C][C]525192[/C][C]542247.010910813[/C][C]-17055.0109108132[/C][/ROW]
[ROW][C]153[/C][C]522975[/C][C]520903.101430467[/C][C]2071.89856953284[/C][/ROW]
[ROW][C]154[/C][C]518585[/C][C]502412.942119597[/C][C]16172.0578804035[/C][/ROW]
[ROW][C]155[/C][C]509239[/C][C]490332.916159448[/C][C]18906.0838405523[/C][/ROW]
[ROW][C]156[/C][C]512238[/C][C]513529.165861684[/C][C]-1291.16586168431[/C][/ROW]
[ROW][C]157[/C][C]519164[/C][C]527387.453811535[/C][C]-8223.45381153515[/C][/ROW]
[ROW][C]158[/C][C]517009[/C][C]523089.872344301[/C][C]-6080.87234430056[/C][/ROW]
[ROW][C]159[/C][C]509933[/C][C]512131.141356827[/C][C]-2198.14135682659[/C][/ROW]
[ROW][C]160[/C][C]509127[/C][C]503512.519855095[/C][C]5614.4801449047[/C][/ROW]
[ROW][C]161[/C][C]500857[/C][C]499913.658968299[/C][C]943.341031700955[/C][/ROW]
[ROW][C]162[/C][C]506971[/C][C]498921.787550894[/C][C]8049.21244910639[/C][/ROW]
[ROW][C]163[/C][C]569323[/C][C]560194.425772346[/C][C]9128.57422765368[/C][/ROW]
[ROW][C]164[/C][C]579714[/C][C]587967.350131651[/C][C]-8253.35013165069[/C][/ROW]
[ROW][C]165[/C][C]577992[/C][C]581717.452149674[/C][C]-3725.4521496743[/C][/ROW]
[ROW][C]166[/C][C]565464[/C][C]566491.386343911[/C][C]-1027.38634391106[/C][/ROW]
[ROW][C]167[/C][C]547344[/C][C]544901.997600437[/C][C]2442.00239956263[/C][/ROW]
[ROW][C]168[/C][C]554788[/C][C]550000.54351328[/C][C]4787.45648672013[/C][/ROW]
[ROW][C]169[/C][C]562325[/C][C]565656.911057616[/C][C]-3331.91105761589[/C][/ROW]
[ROW][C]170[/C][C]560854[/C][C]565832.348858958[/C][C]-4978.34885895811[/C][/ROW]
[ROW][C]171[/C][C]555332[/C][C]557515.167030231[/C][C]-2183.1670302311[/C][/ROW]
[ROW][C]172[/C][C]543599[/C][C]552147.647844332[/C][C]-8548.64784433227[/C][/ROW]
[ROW][C]173[/C][C]536662[/C][C]537055.198413566[/C][C]-393.198413566104[/C][/ROW]
[ROW][C]174[/C][C]542722[/C][C]536934.058192907[/C][C]5787.94180709287[/C][/ROW]
[ROW][C]175[/C][C]593530[/C][C]596246.396243316[/C][C]-2716.39624331577[/C][/ROW]
[ROW][C]176[/C][C]610763[/C][C]608521.885486027[/C][C]2241.11451397301[/C][/ROW]
[ROW][C]177[/C][C]612613[/C][C]609812.949216487[/C][C]2800.05078351288[/C][/ROW]
[ROW][C]178[/C][C]611324[/C][C]599406.81974488[/C][C]11917.1802551195[/C][/ROW]
[ROW][C]179[/C][C]594167[/C][C]588188.747514827[/C][C]5978.25248517317[/C][/ROW]
[ROW][C]180[/C][C]595454[/C][C]597334.874472989[/C][C]-1880.874472989[/C][/ROW]
[ROW][C]181[/C][C]590865[/C][C]606209.882300872[/C][C]-15344.8823008724[/C][/ROW]
[ROW][C]182[/C][C]589379[/C][C]597287.347005847[/C][C]-7908.34700584714[/C][/ROW]
[ROW][C]183[/C][C]584428[/C][C]587150.69673046[/C][C]-2722.69673045946[/C][/ROW]
[ROW][C]184[/C][C]573100[/C][C]578406.488340622[/C][C]-5306.4883406224[/C][/ROW]
[ROW][C]185[/C][C]567456[/C][C]567609.707368981[/C][C]-153.707368980744[/C][/ROW]
[ROW][C]186[/C][C]569028[/C][C]569148.417802284[/C][C]-120.41780228389[/C][/ROW]
[ROW][C]187[/C][C]620735[/C][C]620611.76591138[/C][C]123.234088619705[/C][/ROW]
[ROW][C]188[/C][C]628884[/C][C]635607.961316141[/C][C]-6723.9613161413[/C][/ROW]
[ROW][C]189[/C][C]628232[/C][C]629597.154645877[/C][C]-1365.15464587719[/C][/ROW]
[ROW][C]190[/C][C]612117[/C][C]617624.292978065[/C][C]-5507.29297806451[/C][/ROW]
[ROW][C]191[/C][C]595404[/C][C]589571.286186606[/C][C]5832.71381339431[/C][/ROW]
[ROW][C]192[/C][C]597141[/C][C]592660.386701409[/C][C]4480.61329859053[/C][/ROW]
[ROW][C]193[/C][C]593408[/C][C]598403.278062761[/C][C]-4995.2780627613[/C][/ROW]
[ROW][C]194[/C][C]590072[/C][C]596885.67226689[/C][C]-6813.67226689041[/C][/ROW]
[ROW][C]195[/C][C]579799[/C][C]587354.448717058[/C][C]-7555.4487170584[/C][/ROW]
[ROW][C]196[/C][C]574205[/C][C]572276.89314039[/C][C]1928.10685961077[/C][/ROW]
[ROW][C]197[/C][C]572775[/C][C]566332.255943292[/C][C]6442.74405670806[/C][/ROW]
[ROW][C]198[/C][C]572942[/C][C]571100.884308957[/C][C]1841.11569104309[/C][/ROW]
[ROW][C]199[/C][C]619567[/C][C]622954.725287527[/C][C]-3387.72528752661[/C][/ROW]
[ROW][C]200[/C][C]625809[/C][C]632039.495515016[/C][C]-6230.49551501614[/C][/ROW]
[ROW][C]201[/C][C]619916[/C][C]626933.521247073[/C][C]-7017.52124707308[/C][/ROW]
[ROW][C]202[/C][C]587625[/C][C]608130.954983854[/C][C]-20505.9549838543[/C][/ROW]
[ROW][C]203[/C][C]565742[/C][C]571087.48963205[/C][C]-5345.48963205004[/C][/ROW]
[ROW][C]204[/C][C]557274[/C][C]562526.161614463[/C][C]-5252.16161446262[/C][/ROW]
[ROW][C]205[/C][C]560576[/C][C]554046.749723003[/C][C]6529.25027699675[/C][/ROW]
[ROW][C]206[/C][C]548854[/C][C]555894.429925729[/C][C]-7040.42992572894[/C][/ROW]
[ROW][C]207[/C][C]531673[/C][C]542294.805658476[/C][C]-10621.805658476[/C][/ROW]
[ROW][C]208[/C][C]525919[/C][C]524478.548445565[/C][C]1440.45155443484[/C][/ROW]
[ROW][C]209[/C][C]511038[/C][C]515783.584080567[/C][C]-4745.58408056712[/C][/ROW]
[ROW][C]210[/C][C]498662[/C][C]506736.75786489[/C][C]-8074.75786488969[/C][/ROW]
[ROW][C]211[/C][C]555362[/C][C]544607.880693489[/C][C]10754.1193065105[/C][/ROW]
[ROW][C]212[/C][C]564591[/C][C]557580.18546178[/C][C]7010.81453822006[/C][/ROW]
[ROW][C]213[/C][C]541657[/C][C]557525.56177582[/C][C]-15868.5617758202[/C][/ROW]
[ROW][C]214[/C][C]527070[/C][C]524144.165413886[/C][C]2925.83458611381[/C][/ROW]
[ROW][C]215[/C][C]509846[/C][C]505461.274119888[/C][C]4384.72588011192[/C][/ROW]
[ROW][C]216[/C][C]514258[/C][C]501880.080017102[/C][C]12377.9199828981[/C][/ROW]
[ROW][C]217[/C][C]516922[/C][C]508979.245796122[/C][C]7942.75420387834[/C][/ROW]
[ROW][C]218[/C][C]507561[/C][C]507215.156106733[/C][C]345.843893267447[/C][/ROW]
[ROW][C]219[/C][C]492622[/C][C]497927.934377748[/C][C]-5305.93437774765[/C][/ROW]
[ROW][C]220[/C][C]490243[/C][C]488768.639219014[/C][C]1474.36078098568[/C][/ROW]
[ROW][C]221[/C][C]469357[/C][C]479068.774482755[/C][C]-9711.774482755[/C][/ROW]
[ROW][C]222[/C][C]477580[/C][C]466273.127585168[/C][C]11306.8724148318[/C][/ROW]
[ROW][C]223[/C][C]528379[/C][C]525562.158488913[/C][C]2816.84151108749[/C][/ROW]
[ROW][C]224[/C][C]533590[/C][C]533599.387818635[/C][C]-9.38781863509212[/C][/ROW]
[ROW][C]225[/C][C]517945[/C][C]522184.085108738[/C][C]-4239.08510873828[/C][/ROW]
[ROW][C]226[/C][C]506174[/C][C]504809.318055039[/C][C]1364.68194496143[/C][/ROW]
[ROW][C]227[/C][C]501866[/C][C]487415.877552079[/C][C]14450.1224479209[/C][/ROW]
[ROW][C]228[/C][C]516141[/C][C]495839.157956837[/C][C]20301.8420431633[/C][/ROW]
[ROW][C]229[/C][C]528222[/C][C]509961.747513333[/C][C]18260.2524866667[/C][/ROW]
[ROW][C]230[/C][C]532638[/C][C]516566.891881333[/C][C]16071.1081186666[/C][/ROW]
[ROW][C]231[/C][C]536322[/C][C]521151.2325104[/C][C]15170.7674895995[/C][/ROW]
[ROW][C]232[/C][C]536535[/C][C]534858.135919178[/C][C]1676.8640808221[/C][/ROW]
[ROW][C]233[/C][C]523597[/C][C]528546.587572391[/C][C]-4949.58757239091[/C][/ROW]
[ROW][C]234[/C][C]536214[/C][C]533426.070154232[/C][C]2787.92984576803[/C][/ROW]
[ROW][C]235[/C][C]586570[/C][C]590938.918660304[/C][C]-4368.91866030393[/C][/ROW]
[ROW][C]236[/C][C]596594[/C][C]599418.879953302[/C][C]-2824.87995330198[/C][/ROW]
[ROW][C]237[/C][C]580523[/C][C]590638.573608359[/C][C]-10115.5736083586[/C][/ROW]
[ROW][C]238[/C][C]564478[/C][C]576723.439737901[/C][C]-12245.4397379007[/C][/ROW]
[ROW][C]239[/C][C]557560[/C][C]559103.989034245[/C][C]-1543.98903424502[/C][/ROW]
[ROW][C]240[/C][C]575093[/C][C]561991.496464[/C][C]13101.503536[/C][/ROW]
[ROW][C]241[/C][C]580112[/C][C]573152.648960029[/C][C]6959.35103997099[/C][/ROW]
[ROW][C]242[/C][C]574761[/C][C]573122.871978533[/C][C]1638.12802146666[/C][/ROW]
[ROW][C]243[/C][C]563250[/C][C]568273.489732491[/C][C]-5023.48973249085[/C][/ROW]
[ROW][C]244[/C][C]551531[/C][C]562851.657205295[/C][C]-11320.6572052952[/C][/ROW]
[ROW][C]245[/C][C]537034[/C][C]543451.294485051[/C][C]-6417.2944850506[/C][/ROW]
[ROW][C]246[/C][C]544686[/C][C]547611.66131331[/C][C]-2925.66131330968[/C][/ROW]
[ROW][C]247[/C][C]600991[/C][C]596100.716975803[/C][C]4890.2830241971[/C][/ROW]
[ROW][C]248[/C][C]604378[/C][C]609154.577172334[/C][C]-4776.57717233396[/C][/ROW]
[ROW][C]249[/C][C]586111[/C][C]594383.422774296[/C][C]-8272.42277429625[/C][/ROW]
[ROW][C]250[/C][C]563668[/C][C]578882.253245284[/C][C]-15214.2532452842[/C][/ROW]
[ROW][C]251[/C][C]548604[/C][C]560589.432418602[/C][C]-11985.4324186022[/C][/ROW]
[ROW][C]252[/C][C]551174[/C][C]558349.876035365[/C][C]-7175.87603536528[/C][/ROW]
[ROW][C]253[/C][C]555654[/C][C]549215.238604417[/C][C]6438.7613955827[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148152&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148152&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
13423113411328.02938034211784.970619658
14418873415710.8140127273162.18598727311
15405733405479.852490458253.147509542119
16397812398418.722435759-606.722435759439
17389918390636.84614569-718.846145689662
18391116391798.253628902-682.25362890237
19443814446728.130089375-2914.13008937461
20460373456531.0524640223841.94753597805
21455422456355.705545378-933.70554537815
22456288454198.8140263862089.18597361393
23452233453786.419842097-1553.41984209727
24459256459798.458026488-542.458026488195
25461146464463.236354482-3317.23635448195
26451391455779.233312991-4388.23331299104
27443101438804.659479244296.34052076016
28438810433692.7344302215117.26556977927
29430457429685.922682176771.077317824413
30435721431989.5617676443731.43823235593
31488280489585.494553109-1305.49455310899
32505814503364.859998732449.14000127045
33502338501169.2335025471168.76649745274
34500910502110.970408974-1200.97040897352
35501434498709.6866872172724.31331278273
36515476508659.7815960336816.21840396733
37520862518614.5459650162247.45403498434
38519517515056.4122910324460.58770896809
39511805509390.9854277632414.01457223657
40508607505674.8629334752932.13706652547
41505327500941.1400932164385.85990678408
42511435509117.7956615672317.20433843293
43570158566440.6883835683717.31161643239
44591665587583.9183285194081.08167148125
45593572588936.8430913864635.15690861433
46586346594552.164886597-8206.16488659685
47586063590456.509026776-4393.5090267756
48591504599121.435188072-7617.4351880718
49594033598859.605293953-4826.60529395333
50585597591680.175048705-6083.17504870472
51572450577808.58991659-5358.58991659037
52562917567962.4573061-5045.45730610029
53554675556637.539756475-1962.53975647478
54553997557600.29727847-3603.29727846989
55601310608688.761127991-7378.76112799149
56622255618928.4905037153326.50949628546
57616735616227.607274152507.392725847661
58606480610696.381503927-4216.38150392729
59595079606777.981212973-11698.9812129727
60598588605176.692076504-6588.69207650423
61599917602281.635229646-2364.63522964634
62591573592247.789742626-674.789742625551
63575489578576.994640837-3087.99464083742
64567223566898.011732237324.988267763401
65555338557160.528664803-1822.52866480255
66555252554662.833632154589.166367846192
67608249604589.2741863153659.72581368487
68630859623981.4728417716877.52715822915
69628632621190.7500983927441.24990160821
70624435617723.104073996711.89592600998
71609670618459.169302084-8789.1693020839
72615830620694.595253202-4864.59525320167
73621170620690.449533188479.550466811983
74604212613661.233566408-9449.23356640816
75584348593210.895747495-8862.89574749477
76573717578242.789623333-4525.78962333279
77555234563558.304963063-8324.30496306252
78544897556038.664333912-11141.6643339121
79598866596760.6012159832105.39878401696
80620081613609.8735140746471.12648592645
81607699608106.379958165-407.37995816546
82589960595930.810292937-5970.81029293686
83578665578745.756138239-80.7561382389395
84580166584487.350308881-4321.35030888114
85579457583107.55117556-3650.55117555987
86571560566114.4454414275445.55455857259
87560460553046.9322789567413.06772104371
88551397548952.9829421412444.01705785899
89536763536792.788798516-29.7887985160341
90540562533673.2348723446888.76512765617
91588184592120.573371061-3936.57337106112
92607049607271.421514756-222.421514756046
93598968595299.1760631413668.82393685926
94577644584556.808426011-6912.80842601147
95562640569278.420739365-6638.42073936539
96565867569257.451913665-3390.45191366517
97561274568807.448937224-7533.448937224
98554144552092.8293657792051.17063422105
99539900536944.6863468232955.31365317723
100526271527363.013633158-1092.01363315841
101511841510884.233644638956.766355361906
102505282509694.024547604-4412.02454760403
103554083555030.014895536-947.014895535889
104584225571684.55231067112540.4476893289
105568858568772.42017209485.5798279060982
106539516551088.972404021-11572.9724040207
107521612531451.063988142-9839.06398814183
108525562528784.389904822-3222.38990482199
109526519525434.1301317461084.86986825382
110515713516746.516094134-1033.5160941339
111503454498695.8586521494758.14134785102
112489301487918.6217064681382.37829353189
113479020472948.3799307396071.62006926077
114475102472918.9864820072183.01351799263
115523682523912.006341023-230.006341022672
116551528545777.592809195750.40719080996
117531626533792.135380974-2166.13538097357
118511037510127.75878681909.241213190078
119492417499793.498218874-7376.49821887363
120492188501645.937276817-9457.9372768167
121492865495774.476481916-2909.4764819165
122480961483556.158915661-2595.15891566087
123461935466133.2278117-4198.2278117002
124456608447269.3718840249338.62811597629
125441977438774.6289041623202.37109583814
126439148434924.1413429974223.85865700297
127488180486009.460395852170.53960415063
128520564511235.5526487339328.44735126675
129501492498980.7377802332511.26221976697
130485025479866.3015561625158.69844383816
131464196470300.445562592-6104.44556259213
132460170473149.630181608-12979.6301816076
133467037467735.086277662-698.086277662253
134460070457839.7220947722230.27790522826
135447988444210.3202082443777.67979175557
136442867436984.4865834515882.51341654861
137436087425632.24107811210454.7589218881
138431328429015.9746493752312.02535062528
139484015480075.7324556513939.26754434884
140509673510968.469030339-1295.46903033875
141512927490598.20139241922328.7986075813
142502831488313.69863474614517.301365254
143470984484704.986628235-13720.986628235
144471067483144.241787353-12077.2417873525
145476049485506.868511864-9457.86851186352
146474605473126.3096013721478.6903986283
147470439461785.909257358653.09074264951
148461251461154.73524057496.2647594260634
149454724449707.6803722775016.31962772313
150455626448491.7170066567134.28299334354
151516847505434.51148126311412.4885187367
152525192542247.010910813-17055.0109108132
153522975520903.1014304672071.89856953284
154518585502412.94211959716172.0578804035
155509239490332.91615944818906.0838405523
156512238513529.165861684-1291.16586168431
157519164527387.453811535-8223.45381153515
158517009523089.872344301-6080.87234430056
159509933512131.141356827-2198.14135682659
160509127503512.5198550955614.4801449047
161500857499913.658968299943.341031700955
162506971498921.7875508948049.21244910639
163569323560194.4257723469128.57422765368
164579714587967.350131651-8253.35013165069
165577992581717.452149674-3725.4521496743
166565464566491.386343911-1027.38634391106
167547344544901.9976004372442.00239956263
168554788550000.543513284787.45648672013
169562325565656.911057616-3331.91105761589
170560854565832.348858958-4978.34885895811
171555332557515.167030231-2183.1670302311
172543599552147.647844332-8548.64784433227
173536662537055.198413566-393.198413566104
174542722536934.0581929075787.94180709287
175593530596246.396243316-2716.39624331577
176610763608521.8854860272241.11451397301
177612613609812.9492164872800.05078351288
178611324599406.8197448811917.1802551195
179594167588188.7475148275978.25248517317
180595454597334.874472989-1880.874472989
181590865606209.882300872-15344.8823008724
182589379597287.347005847-7908.34700584714
183584428587150.69673046-2722.69673045946
184573100578406.488340622-5306.4883406224
185567456567609.707368981-153.707368980744
186569028569148.417802284-120.41780228389
187620735620611.76591138123.234088619705
188628884635607.961316141-6723.9613161413
189628232629597.154645877-1365.15464587719
190612117617624.292978065-5507.29297806451
191595404589571.2861866065832.71381339431
192597141592660.3867014094480.61329859053
193593408598403.278062761-4995.2780627613
194590072596885.67226689-6813.67226689041
195579799587354.448717058-7555.4487170584
196574205572276.893140391928.10685961077
197572775566332.2559432926442.74405670806
198572942571100.8843089571841.11569104309
199619567622954.725287527-3387.72528752661
200625809632039.495515016-6230.49551501614
201619916626933.521247073-7017.52124707308
202587625608130.954983854-20505.9549838543
203565742571087.48963205-5345.48963205004
204557274562526.161614463-5252.16161446262
205560576554046.7497230036529.25027699675
206548854555894.429925729-7040.42992572894
207531673542294.805658476-10621.805658476
208525919524478.5484455651440.45155443484
209511038515783.584080567-4745.58408056712
210498662506736.75786489-8074.75786488969
211555362544607.88069348910754.1193065105
212564591557580.185461787010.81453822006
213541657557525.56177582-15868.5617758202
214527070524144.1654138862925.83458611381
215509846505461.2741198884384.72588011192
216514258501880.08001710212377.9199828981
217516922508979.2457961227942.75420387834
218507561507215.156106733345.843893267447
219492622497927.934377748-5305.93437774765
220490243488768.6392190141474.36078098568
221469357479068.774482755-9711.774482755
222477580466273.12758516811306.8724148318
223528379525562.1584889132816.84151108749
224533590533599.387818635-9.38781863509212
225517945522184.085108738-4239.08510873828
226506174504809.3180550391364.68194496143
227501866487415.87755207914450.1224479209
228516141495839.15795683720301.8420431633
229528222509961.74751333318260.2524866667
230532638516566.89188133316071.1081186666
231536322521151.232510415170.7674895995
232536535534858.1359191781676.8640808221
233523597528546.587572391-4949.58757239091
234536214533426.0701542322787.92984576803
235586570590938.918660304-4368.91866030393
236596594599418.879953302-2824.87995330198
237580523590638.573608359-10115.5736083586
238564478576723.439737901-12245.4397379007
239557560559103.989034245-1543.98903424502
240575093561991.49646413101.503536
241580112573152.6489600296959.35103997099
242574761573122.8719785331638.12802146666
243563250568273.489732491-5023.48973249085
244551531562851.657205295-11320.6572052952
245537034543451.294485051-6417.2944850506
246544686547611.66131331-2925.66131330968
247600991596100.7169758034890.2830241971
248604378609154.577172334-4776.57717233396
249586111594383.422774296-8272.42277429625
250563668578882.253245284-15214.2532452842
251548604560589.432418602-11985.4324186022
252551174558349.876035365-7175.87603536528
253555654549215.2386044176438.7613955827







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
254542204.252751328528495.462982631555913.042520025
255529049.027215523511975.02977137546123.024659677
256520258.610334516499794.619488517540722.601180515
257506354.800183125482435.696039602530273.904326649
258512804.736029169485345.688667438540263.7833909
259562968.860855384531874.903781056594062.817929713
260566221.06833803531392.054214057601050.082462004
261550517.74960974511851.103968089589184.395251392
262535899.349081861493291.674001338578507.024162384
263527746.300474267481094.336690745574398.264257788
264535007.432619983484208.645619782585806.219620184
265535742.908390011480695.845693572590789.971086451

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
254 & 542204.252751328 & 528495.462982631 & 555913.042520025 \tabularnewline
255 & 529049.027215523 & 511975.02977137 & 546123.024659677 \tabularnewline
256 & 520258.610334516 & 499794.619488517 & 540722.601180515 \tabularnewline
257 & 506354.800183125 & 482435.696039602 & 530273.904326649 \tabularnewline
258 & 512804.736029169 & 485345.688667438 & 540263.7833909 \tabularnewline
259 & 562968.860855384 & 531874.903781056 & 594062.817929713 \tabularnewline
260 & 566221.06833803 & 531392.054214057 & 601050.082462004 \tabularnewline
261 & 550517.74960974 & 511851.103968089 & 589184.395251392 \tabularnewline
262 & 535899.349081861 & 493291.674001338 & 578507.024162384 \tabularnewline
263 & 527746.300474267 & 481094.336690745 & 574398.264257788 \tabularnewline
264 & 535007.432619983 & 484208.645619782 & 585806.219620184 \tabularnewline
265 & 535742.908390011 & 480695.845693572 & 590789.971086451 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148152&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]542204.252751328[/C][C]528495.462982631[/C][C]555913.042520025[/C][/ROW]
[ROW][C]255[/C][C]529049.027215523[/C][C]511975.02977137[/C][C]546123.024659677[/C][/ROW]
[ROW][C]256[/C][C]520258.610334516[/C][C]499794.619488517[/C][C]540722.601180515[/C][/ROW]
[ROW][C]257[/C][C]506354.800183125[/C][C]482435.696039602[/C][C]530273.904326649[/C][/ROW]
[ROW][C]258[/C][C]512804.736029169[/C][C]485345.688667438[/C][C]540263.7833909[/C][/ROW]
[ROW][C]259[/C][C]562968.860855384[/C][C]531874.903781056[/C][C]594062.817929713[/C][/ROW]
[ROW][C]260[/C][C]566221.06833803[/C][C]531392.054214057[/C][C]601050.082462004[/C][/ROW]
[ROW][C]261[/C][C]550517.74960974[/C][C]511851.103968089[/C][C]589184.395251392[/C][/ROW]
[ROW][C]262[/C][C]535899.349081861[/C][C]493291.674001338[/C][C]578507.024162384[/C][/ROW]
[ROW][C]263[/C][C]527746.300474267[/C][C]481094.336690745[/C][C]574398.264257788[/C][/ROW]
[ROW][C]264[/C][C]535007.432619983[/C][C]484208.645619782[/C][C]585806.219620184[/C][/ROW]
[ROW][C]265[/C][C]535742.908390011[/C][C]480695.845693572[/C][C]590789.971086451[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148152&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148152&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
254542204.252751328528495.462982631555913.042520025
255529049.027215523511975.02977137546123.024659677
256520258.610334516499794.619488517540722.601180515
257506354.800183125482435.696039602530273.904326649
258512804.736029169485345.688667438540263.7833909
259562968.860855384531874.903781056594062.817929713
260566221.06833803531392.054214057601050.082462004
261550517.74960974511851.103968089589184.395251392
262535899.349081861493291.674001338578507.024162384
263527746.300474267481094.336690745574398.264257788
264535007.432619983484208.645619782585806.219620184
265535742.908390011480695.845693572590789.971086451



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')