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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 computationSun, 18 Dec 2011 10:11:57 -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/Dec/18/t13242211833x45bwzunx8vk0r.htm/, Retrieved Sun, 05 May 2024 15:39:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156957, Retrieved Sun, 05 May 2024 15:39:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2011-12-18 15:11:57] [c8f7c4812ba63eaa5bf379ee3b4bd6a3] [Current]
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Dataseries X:
179.257
179.947
179.094
181.624
184.954
187.928
187.151
189.959
192.492
191.103
191.737
192.31
192.013
192.106
192.141
194.58
196.421
199.021
198.136
199.426
200.997
201.277
201.663
202.874
204.256
205.597
205.471
211.064
212.856
217.036
219.302
219.759
221.388
220.834
221.788
222.358
222.972
224.164
224.915
226.294
224.69
227.021
229.284
229.189
230.032
229.389
231.053
232.56
232.681
231.555
231.428
232.141
234.939
235.424
235.471
236.355
238.693
236.958
237.06
239.282
238.252
241.552
236.23
238.909
240.723
242.12
242.1
243.276
244.677
243.494
244.902
245.247
245.578
243.052
238.121
241.863
241.203
243.634
242.351
245.18
246.126
244.424
245.166
247.258
245.094
246.02
243.082
245.555
243.685
247.277
245.029
246.169
246.778
244.577
246.048
245.775
245.328
245.477
241.903
243.219
248.088
248.521
247.389
249.057
248.916
249.193
250.768
253.106
249.829
249.447
246.755
250.785
250.14
255.755
254.671
253.919
253.741
252.729
253.81
256.653
255.231
258.405
251.061
254.811
254.895
258.325
257.608
258.759
258.621
257.852
260.56
262.358
260.812
261.165
257.164
260.72
259.581
264.743
261.845
262.262
261.631
258.953
259.966
262.85
262.204
263.418
262.752
266.433
267.722
266.003
262.971
265.521
264.676
270.223
269.508
268.457
265.814
266.68
263.018
269.285
269.829
270.911
266.844
271.244
269.907
271.296
270.157
271.322
267.179
264.101
265.518
269.419
268.714
272.482
268.351
268.175
270.674
272.764
272.599
270.333
270.846
270.491
269.16
274.027
273.784
276.663
274.525
271.344
271.115
270.798
273.911
273.985
271.917
273.338
270.601
273.547
275.363
281.229
277.793
279.913
282.5
280.041
282.166
290.304
283.519
287.816
285.226
287.595
289.741
289.148
288.301
290.155
289.648
288.225
289.351
294.735
305.333
309.03
310.215
321.935
325.734
320.846
323.023
319.753
321.753
320.757
324.479
324.641
322.767
324.181
321.389
327.897
334.287
332.653
334.819
335.264
339.622
342.44
346.585
335.378
337.01
339.13
341.193
343.507
348.915
346.431
348.322
348.288
346.597
351.076
355.215
350.562
355.266




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156957&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156957&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.827412951291203
beta0.028062454665283
gamma0.596569549205141

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.827412951291203 \tabularnewline
beta & 0.028062454665283 \tabularnewline
gamma & 0.596569549205141 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156957&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]0.827412951291203[/C][/ROW]
[ROW][C]beta[/C][C]0.028062454665283[/C][/ROW]
[ROW][C]gamma[/C][C]0.596569549205141[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156957&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
alpha0.827412951291203
beta0.028062454665283
gamma0.596569549205141







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13192.013186.0210510149575.9919489850428
14192.106191.2721240516480.833875948351846
15192.141192.320035951878-0.17903595187849
16194.58194.900236015553-0.320236015552808
17196.421196.698961348086-0.277961348085853
18199.021199.268961237176-0.24796123717573
19198.136198.361692802151-0.225692802150746
20199.426200.987567477018-1.5615674770176
21200.997202.184738737016-1.1877387370163
22201.277199.708434015791.56856598420964
23201.663201.6379857595340.025014240466362
24202.874202.3075886111290.566411388870705
25204.256203.205317582681.0506824173201
26205.597203.8378764703181.75912352968209
27205.471205.569574079371-0.0985740793710477
28211.064208.2261930844482.83780691555179
29212.856212.739985727670.116014272329949
30217.036215.7459118596861.29008814031383
31219.302216.2561073919193.04589260808066
32219.759221.66992526463-1.91092526462981
33221.388222.826943970577-1.43894397057701
34220.834220.6311667462530.202833253747372
35221.788221.4446462411350.343353758865391
36222.358222.613658343405-0.255658343405031
37222.972223.042237633256-0.0702376332556014
38224.164222.9554278971211.20857210287869
39224.915224.1626937847350.752306215264838
40226.294227.96779980316-1.67379980316019
41224.69228.505765617556-3.81576561755622
42227.021228.325447322547-1.30444732254691
43229.284226.755503734192.52849626581036
44229.189231.104687957289-1.91568795728892
45230.032232.180072276189-2.14807227618931
46229.389229.423836412033-0.0348364120326892
47231.053229.9068600842361.14613991576402
48232.56231.5488006611671.01119933883251
49232.681232.944468028533-0.263468028532884
50231.555232.724739450502-1.16973945050214
51231.428231.757255768553-0.329255768552571
52232.141234.232631470069-2.0916314700695
53234.939234.0095994207720.929400579227661
54235.424237.929496666792-2.50549666679191
55235.471235.647980193801-0.176980193800887
56236.355237.125775398214-0.770775398213857
57238.693238.975864104887-0.282864104886499
58236.958237.875128731287-0.917128731286851
59237.06237.623863641088-0.563863641088091
60239.282237.6714644388461.61053556115408
61238.252239.280139326867-1.02813932686684
62241.552238.1649958080983.38700419190178
63236.23240.990755159847-4.7607551598467
64238.909239.451498293604-0.542498293603558
65240.723240.6907567253550.0322432746451682
66242.12243.363317088002-1.24331708800162
67242.1242.243835985243-0.143835985243356
68243.276243.566634630215-0.290634630215294
69244.677245.754098716271-1.07709871627108
70243.494243.802323073261-0.30832307326051
71244.902243.9767236427290.925276357271002
72245.247245.400471123556-0.153471123555789
73245.578245.1570831404880.420916859512459
74243.052245.608314962242-2.55631496224163
75238.121242.452424498602-4.33142449860156
76241.863241.4875067683180.375493231681645
77241.203243.351606744763-2.14860674476321
78243.634243.843841931558-0.20984193155769
79242.351243.472141130855-1.12114113085462
80245.18243.7279649480871.45203505191293
81246.126247.073600001348-0.947600001347496
82244.424245.108371395268-0.684371395267505
83245.166244.8901496200020.27585037999782
84247.258245.4419197176851.81608028231506
85245.094246.709468762495-1.61546876249542
86246.02244.9441147031521.07588529684776
87243.082244.470007380099-1.38800738009894
88245.555246.35269928332-0.797699283319986
89243.685246.886525261263-3.20152526126307
90247.277246.5830520999810.693947900018742
91245.029246.762190994292-1.73319099429227
92246.169246.65917998413-0.490179984129838
93246.778247.988286035551-1.21028603555109
94244.577245.664262022109-1.08726202210872
95246.048245.0336454708321.01435452916843
96245.775246.19429085655-0.419290856549651
97245.328245.0462934004740.281706599525563
98245.477244.9591814965180.517818503481777
99241.903243.588074164178-1.68507416417785
100243.219245.097284236435-1.87828423643518
101248.088244.2759683662763.81203163372447
102248.521250.125977561107-1.60497756110709
103247.389248.048973741286-0.659973741285626
104249.057248.8827731464460.174226853554387
105248.916250.623738719916-1.70773871991602
106249.193247.8254949613361.36750503866378
107250.768249.4240775783751.34392242162542
108253.106250.6991659341782.4068340658221
109249.829252.016698743427-2.18769874342689
110249.447249.908324368736-0.461324368735632
111246.755247.475161738495-0.720161738494767
112250.785249.760174853481.02482514652002
113250.14251.991528157012-1.85152815701215
114255.755252.5309177925293.22408220747096
115254.671254.5921848113780.0788151886221726
116253.919256.18565778557-2.26665778557012
117253.741255.719061401998-1.97806140199805
118252.729253.013325228855-0.28432522885501
119253.81253.2039282072470.606071792753227
120256.653253.9220088273212.73099117267881
121255.231254.9862880498240.244711950176111
122258.405255.0763368623453.3286631376549
123251.061255.848476925894-4.78747692589425
124254.811254.949432864131-0.13843286413092
125254.895255.896759537432-1.00175953743204
126258.325257.6561934215480.668806578451552
127257.608257.2143724264430.393627573556728
128258.759258.76916202168-0.0101620216795482
129258.621260.194054596912-1.57305459691241
130257.852258.001938831095-0.149938831095483
131260.56258.4026557948072.15734420519334
132262.358260.6663262448411.69167375515889
133260.812260.6338057333910.178194266608728
134261.165261.003929334550.161070665450382
135257.164258.263562271711-1.09956227171097
136260.72260.924282665076-0.204282665075823
137259.581261.756376813767-2.17537681376649
138264.743262.7176365699642.02536343003555
139261.845263.40230424271-1.55730424271019
140262.262263.288382625502-1.0263826255017
141261.631263.675018833718-2.04401883371759
142258.953261.192303399665-2.2393033996654
143259.966260.005855865584-0.0398558655838883
144262.85260.2566162302452.59338376975552
145262.204260.6883183878191.5156816121808
146263.418262.0683529713991.34964702860088
147262.752260.1142519111222.63774808887797
148266.433265.9788444652250.454155534774713
149267.722267.1874781554230.534521844577341
150266.003270.921057355322-4.91805735532176
151262.971265.428160934987-2.45716093498652
152265.521264.5398403250580.981159674942091
153264.676266.444870935932-1.76887093593206
154270.223264.1382025350186.08479746498159
155269.508270.227451288839-0.719451288838854
156268.457270.333016647021-1.87601664702089
157265.814266.997934762693-1.18393476269262
158266.68266.1067099608930.573290039107121
159263.018263.604370885847-0.586370885846804
160269.285266.4631076777392.82189232226102
161269.829269.5807341374170.248265862583025
162270.911272.4510384171-1.54003841710005
163266.844270.019943487038-3.1759434870379
164271.244268.8876239403952.3563760596054
165269.907271.676035189644-1.76903518964446
166271.296270.2064945962011.08950540379863
167270.157271.374669081699-1.21766908169906
168271.322270.85001591320.471984086800319
169267.179269.48456941112-2.30556941112047
170264.101267.775782541915-3.67478254191496
171265.518261.4700660792934.04793392070724
172269.419268.4527388817610.966261118239402
173268.714269.665461476384-0.951461476383543
174272.482271.2265653999391.25543460006111
175268.351270.872550435676-2.52155043567575
176268.175270.798989751038-2.62398975103838
177270.674268.8738854208741.80011457912588
178272.764270.5667510289792.19724897102071
179272.599272.3545903652540.244409634745921
180270.333273.188245979503-2.8552459795032
181270.846268.6811720045032.16482799549749
182270.491270.531417820767-0.0404178207669474
183269.16268.1134836408841.04651635911637
184274.027272.3112940531371.7157059468625
185273.784273.979908436295-0.195908436294872
186276.663276.4441729997720.218827000227805
187274.525274.870291048617-0.345291048616559
188271.344276.664094099298-5.32009409929827
189271.115272.978348895515-1.8633488955154
190270.798271.61048778734-0.812487787340217
191273.911270.5666648505833.34433514941702
192273.985273.577773386240.407226613759576
193271.917272.294406822278-0.377406822277749
194273.338271.762520992131.57547900786972
195270.601270.779430474908-0.178430474908112
196273.547273.990080320633-0.443080320633044
197275.363273.5830178866741.77998211332624
198281.229277.6780908458823.55090915411819
199277.793278.833733269339-1.04073326933855
200279.913279.5543623144810.358637685518886
201282.5281.069486766251.43051323374965
202280.041282.757993989271-2.71699398927109
203282.166280.7449112995491.42108870045109
204290.304281.9962053952338.30779460476697
205283.519287.486440081036-3.96744008103599
206287.816284.4191808407563.3968191592441
207285.226285.0387951838030.187204816196981
208287.595288.809505045248-1.21450504524847
209289.741288.259907847741.48109215226026
210289.148292.549935488931-3.40193548893114
211288.301287.5784332720230.72256672797738
212290.155290.041546923550.113453076450128
213289.648291.597897820703-1.94989782070309
214288.225290.117625374306-1.89262537430574
215289.351289.2870791933790.0639208066207289
216294.735290.1673645668524.56763543314781
217305.333291.25511222574714.0778877742528
218309.03304.2520446323724.77795536762801
219310.215306.0910636571414.12393634285945
220321.935313.4732609398398.46173906016139
221325.734321.9306326878593.80336731214061
222320.846328.416485025078-7.57048502507791
223323.023321.1008414166851.92215858331463
224319.753325.201963066046-5.44896306604591
225321.753322.522465374762-0.769465374761694
226320.757322.631213089612-1.87421308961245
227324.479322.6241936195711.85480638042867
228324.641326.098412974474-1.45741297447387
229322.767323.688666590057-0.921666590057157
230324.181323.4775042972030.703495702796943
231321.389321.943572399917-0.554572399916992
232327.897325.8583481745772.03865182542279
233334.287328.3294246588835.95757534111721
234332.653335.284538914706-2.63153891470552
235334.819333.0053822803731.81361771962662
236335.264336.227818303683-0.963818303683297
237339.622337.8153855236341.80661447636635
238342.44340.0758807938742.3641192061263
239346.585344.1920744573772.39292554262323
240335.378348.015430192046-12.6374301920463
241337.01336.3956781331660.614321866833507
242339.13337.6437288874891.48627111251147
243341.193336.6671093416424.52589065835832
244343.507345.209654114912-1.70265411491181
245348.915345.0588776350983.85612236490249
246346.431349.412350576341-2.98135057634107
247348.322347.3147718257051.00722817429522
248348.288349.578644102797-1.29064410279665
249346.597351.168065743628-4.57106574362808
250351.076348.0479317772243.02806822277637
251355.215352.5708129426012.6441870573986
252350.562354.914733291208-4.35273329120764
253355.266351.5668095290653.69919047093498

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 192.013 & 186.021051014957 & 5.9919489850428 \tabularnewline
14 & 192.106 & 191.272124051648 & 0.833875948351846 \tabularnewline
15 & 192.141 & 192.320035951878 & -0.17903595187849 \tabularnewline
16 & 194.58 & 194.900236015553 & -0.320236015552808 \tabularnewline
17 & 196.421 & 196.698961348086 & -0.277961348085853 \tabularnewline
18 & 199.021 & 199.268961237176 & -0.24796123717573 \tabularnewline
19 & 198.136 & 198.361692802151 & -0.225692802150746 \tabularnewline
20 & 199.426 & 200.987567477018 & -1.5615674770176 \tabularnewline
21 & 200.997 & 202.184738737016 & -1.1877387370163 \tabularnewline
22 & 201.277 & 199.70843401579 & 1.56856598420964 \tabularnewline
23 & 201.663 & 201.637985759534 & 0.025014240466362 \tabularnewline
24 & 202.874 & 202.307588611129 & 0.566411388870705 \tabularnewline
25 & 204.256 & 203.20531758268 & 1.0506824173201 \tabularnewline
26 & 205.597 & 203.837876470318 & 1.75912352968209 \tabularnewline
27 & 205.471 & 205.569574079371 & -0.0985740793710477 \tabularnewline
28 & 211.064 & 208.226193084448 & 2.83780691555179 \tabularnewline
29 & 212.856 & 212.73998572767 & 0.116014272329949 \tabularnewline
30 & 217.036 & 215.745911859686 & 1.29008814031383 \tabularnewline
31 & 219.302 & 216.256107391919 & 3.04589260808066 \tabularnewline
32 & 219.759 & 221.66992526463 & -1.91092526462981 \tabularnewline
33 & 221.388 & 222.826943970577 & -1.43894397057701 \tabularnewline
34 & 220.834 & 220.631166746253 & 0.202833253747372 \tabularnewline
35 & 221.788 & 221.444646241135 & 0.343353758865391 \tabularnewline
36 & 222.358 & 222.613658343405 & -0.255658343405031 \tabularnewline
37 & 222.972 & 223.042237633256 & -0.0702376332556014 \tabularnewline
38 & 224.164 & 222.955427897121 & 1.20857210287869 \tabularnewline
39 & 224.915 & 224.162693784735 & 0.752306215264838 \tabularnewline
40 & 226.294 & 227.96779980316 & -1.67379980316019 \tabularnewline
41 & 224.69 & 228.505765617556 & -3.81576561755622 \tabularnewline
42 & 227.021 & 228.325447322547 & -1.30444732254691 \tabularnewline
43 & 229.284 & 226.75550373419 & 2.52849626581036 \tabularnewline
44 & 229.189 & 231.104687957289 & -1.91568795728892 \tabularnewline
45 & 230.032 & 232.180072276189 & -2.14807227618931 \tabularnewline
46 & 229.389 & 229.423836412033 & -0.0348364120326892 \tabularnewline
47 & 231.053 & 229.906860084236 & 1.14613991576402 \tabularnewline
48 & 232.56 & 231.548800661167 & 1.01119933883251 \tabularnewline
49 & 232.681 & 232.944468028533 & -0.263468028532884 \tabularnewline
50 & 231.555 & 232.724739450502 & -1.16973945050214 \tabularnewline
51 & 231.428 & 231.757255768553 & -0.329255768552571 \tabularnewline
52 & 232.141 & 234.232631470069 & -2.0916314700695 \tabularnewline
53 & 234.939 & 234.009599420772 & 0.929400579227661 \tabularnewline
54 & 235.424 & 237.929496666792 & -2.50549666679191 \tabularnewline
55 & 235.471 & 235.647980193801 & -0.176980193800887 \tabularnewline
56 & 236.355 & 237.125775398214 & -0.770775398213857 \tabularnewline
57 & 238.693 & 238.975864104887 & -0.282864104886499 \tabularnewline
58 & 236.958 & 237.875128731287 & -0.917128731286851 \tabularnewline
59 & 237.06 & 237.623863641088 & -0.563863641088091 \tabularnewline
60 & 239.282 & 237.671464438846 & 1.61053556115408 \tabularnewline
61 & 238.252 & 239.280139326867 & -1.02813932686684 \tabularnewline
62 & 241.552 & 238.164995808098 & 3.38700419190178 \tabularnewline
63 & 236.23 & 240.990755159847 & -4.7607551598467 \tabularnewline
64 & 238.909 & 239.451498293604 & -0.542498293603558 \tabularnewline
65 & 240.723 & 240.690756725355 & 0.0322432746451682 \tabularnewline
66 & 242.12 & 243.363317088002 & -1.24331708800162 \tabularnewline
67 & 242.1 & 242.243835985243 & -0.143835985243356 \tabularnewline
68 & 243.276 & 243.566634630215 & -0.290634630215294 \tabularnewline
69 & 244.677 & 245.754098716271 & -1.07709871627108 \tabularnewline
70 & 243.494 & 243.802323073261 & -0.30832307326051 \tabularnewline
71 & 244.902 & 243.976723642729 & 0.925276357271002 \tabularnewline
72 & 245.247 & 245.400471123556 & -0.153471123555789 \tabularnewline
73 & 245.578 & 245.157083140488 & 0.420916859512459 \tabularnewline
74 & 243.052 & 245.608314962242 & -2.55631496224163 \tabularnewline
75 & 238.121 & 242.452424498602 & -4.33142449860156 \tabularnewline
76 & 241.863 & 241.487506768318 & 0.375493231681645 \tabularnewline
77 & 241.203 & 243.351606744763 & -2.14860674476321 \tabularnewline
78 & 243.634 & 243.843841931558 & -0.20984193155769 \tabularnewline
79 & 242.351 & 243.472141130855 & -1.12114113085462 \tabularnewline
80 & 245.18 & 243.727964948087 & 1.45203505191293 \tabularnewline
81 & 246.126 & 247.073600001348 & -0.947600001347496 \tabularnewline
82 & 244.424 & 245.108371395268 & -0.684371395267505 \tabularnewline
83 & 245.166 & 244.890149620002 & 0.27585037999782 \tabularnewline
84 & 247.258 & 245.441919717685 & 1.81608028231506 \tabularnewline
85 & 245.094 & 246.709468762495 & -1.61546876249542 \tabularnewline
86 & 246.02 & 244.944114703152 & 1.07588529684776 \tabularnewline
87 & 243.082 & 244.470007380099 & -1.38800738009894 \tabularnewline
88 & 245.555 & 246.35269928332 & -0.797699283319986 \tabularnewline
89 & 243.685 & 246.886525261263 & -3.20152526126307 \tabularnewline
90 & 247.277 & 246.583052099981 & 0.693947900018742 \tabularnewline
91 & 245.029 & 246.762190994292 & -1.73319099429227 \tabularnewline
92 & 246.169 & 246.65917998413 & -0.490179984129838 \tabularnewline
93 & 246.778 & 247.988286035551 & -1.21028603555109 \tabularnewline
94 & 244.577 & 245.664262022109 & -1.08726202210872 \tabularnewline
95 & 246.048 & 245.033645470832 & 1.01435452916843 \tabularnewline
96 & 245.775 & 246.19429085655 & -0.419290856549651 \tabularnewline
97 & 245.328 & 245.046293400474 & 0.281706599525563 \tabularnewline
98 & 245.477 & 244.959181496518 & 0.517818503481777 \tabularnewline
99 & 241.903 & 243.588074164178 & -1.68507416417785 \tabularnewline
100 & 243.219 & 245.097284236435 & -1.87828423643518 \tabularnewline
101 & 248.088 & 244.275968366276 & 3.81203163372447 \tabularnewline
102 & 248.521 & 250.125977561107 & -1.60497756110709 \tabularnewline
103 & 247.389 & 248.048973741286 & -0.659973741285626 \tabularnewline
104 & 249.057 & 248.882773146446 & 0.174226853554387 \tabularnewline
105 & 248.916 & 250.623738719916 & -1.70773871991602 \tabularnewline
106 & 249.193 & 247.825494961336 & 1.36750503866378 \tabularnewline
107 & 250.768 & 249.424077578375 & 1.34392242162542 \tabularnewline
108 & 253.106 & 250.699165934178 & 2.4068340658221 \tabularnewline
109 & 249.829 & 252.016698743427 & -2.18769874342689 \tabularnewline
110 & 249.447 & 249.908324368736 & -0.461324368735632 \tabularnewline
111 & 246.755 & 247.475161738495 & -0.720161738494767 \tabularnewline
112 & 250.785 & 249.76017485348 & 1.02482514652002 \tabularnewline
113 & 250.14 & 251.991528157012 & -1.85152815701215 \tabularnewline
114 & 255.755 & 252.530917792529 & 3.22408220747096 \tabularnewline
115 & 254.671 & 254.592184811378 & 0.0788151886221726 \tabularnewline
116 & 253.919 & 256.18565778557 & -2.26665778557012 \tabularnewline
117 & 253.741 & 255.719061401998 & -1.97806140199805 \tabularnewline
118 & 252.729 & 253.013325228855 & -0.28432522885501 \tabularnewline
119 & 253.81 & 253.203928207247 & 0.606071792753227 \tabularnewline
120 & 256.653 & 253.922008827321 & 2.73099117267881 \tabularnewline
121 & 255.231 & 254.986288049824 & 0.244711950176111 \tabularnewline
122 & 258.405 & 255.076336862345 & 3.3286631376549 \tabularnewline
123 & 251.061 & 255.848476925894 & -4.78747692589425 \tabularnewline
124 & 254.811 & 254.949432864131 & -0.13843286413092 \tabularnewline
125 & 254.895 & 255.896759537432 & -1.00175953743204 \tabularnewline
126 & 258.325 & 257.656193421548 & 0.668806578451552 \tabularnewline
127 & 257.608 & 257.214372426443 & 0.393627573556728 \tabularnewline
128 & 258.759 & 258.76916202168 & -0.0101620216795482 \tabularnewline
129 & 258.621 & 260.194054596912 & -1.57305459691241 \tabularnewline
130 & 257.852 & 258.001938831095 & -0.149938831095483 \tabularnewline
131 & 260.56 & 258.402655794807 & 2.15734420519334 \tabularnewline
132 & 262.358 & 260.666326244841 & 1.69167375515889 \tabularnewline
133 & 260.812 & 260.633805733391 & 0.178194266608728 \tabularnewline
134 & 261.165 & 261.00392933455 & 0.161070665450382 \tabularnewline
135 & 257.164 & 258.263562271711 & -1.09956227171097 \tabularnewline
136 & 260.72 & 260.924282665076 & -0.204282665075823 \tabularnewline
137 & 259.581 & 261.756376813767 & -2.17537681376649 \tabularnewline
138 & 264.743 & 262.717636569964 & 2.02536343003555 \tabularnewline
139 & 261.845 & 263.40230424271 & -1.55730424271019 \tabularnewline
140 & 262.262 & 263.288382625502 & -1.0263826255017 \tabularnewline
141 & 261.631 & 263.675018833718 & -2.04401883371759 \tabularnewline
142 & 258.953 & 261.192303399665 & -2.2393033996654 \tabularnewline
143 & 259.966 & 260.005855865584 & -0.0398558655838883 \tabularnewline
144 & 262.85 & 260.256616230245 & 2.59338376975552 \tabularnewline
145 & 262.204 & 260.688318387819 & 1.5156816121808 \tabularnewline
146 & 263.418 & 262.068352971399 & 1.34964702860088 \tabularnewline
147 & 262.752 & 260.114251911122 & 2.63774808887797 \tabularnewline
148 & 266.433 & 265.978844465225 & 0.454155534774713 \tabularnewline
149 & 267.722 & 267.187478155423 & 0.534521844577341 \tabularnewline
150 & 266.003 & 270.921057355322 & -4.91805735532176 \tabularnewline
151 & 262.971 & 265.428160934987 & -2.45716093498652 \tabularnewline
152 & 265.521 & 264.539840325058 & 0.981159674942091 \tabularnewline
153 & 264.676 & 266.444870935932 & -1.76887093593206 \tabularnewline
154 & 270.223 & 264.138202535018 & 6.08479746498159 \tabularnewline
155 & 269.508 & 270.227451288839 & -0.719451288838854 \tabularnewline
156 & 268.457 & 270.333016647021 & -1.87601664702089 \tabularnewline
157 & 265.814 & 266.997934762693 & -1.18393476269262 \tabularnewline
158 & 266.68 & 266.106709960893 & 0.573290039107121 \tabularnewline
159 & 263.018 & 263.604370885847 & -0.586370885846804 \tabularnewline
160 & 269.285 & 266.463107677739 & 2.82189232226102 \tabularnewline
161 & 269.829 & 269.580734137417 & 0.248265862583025 \tabularnewline
162 & 270.911 & 272.4510384171 & -1.54003841710005 \tabularnewline
163 & 266.844 & 270.019943487038 & -3.1759434870379 \tabularnewline
164 & 271.244 & 268.887623940395 & 2.3563760596054 \tabularnewline
165 & 269.907 & 271.676035189644 & -1.76903518964446 \tabularnewline
166 & 271.296 & 270.206494596201 & 1.08950540379863 \tabularnewline
167 & 270.157 & 271.374669081699 & -1.21766908169906 \tabularnewline
168 & 271.322 & 270.8500159132 & 0.471984086800319 \tabularnewline
169 & 267.179 & 269.48456941112 & -2.30556941112047 \tabularnewline
170 & 264.101 & 267.775782541915 & -3.67478254191496 \tabularnewline
171 & 265.518 & 261.470066079293 & 4.04793392070724 \tabularnewline
172 & 269.419 & 268.452738881761 & 0.966261118239402 \tabularnewline
173 & 268.714 & 269.665461476384 & -0.951461476383543 \tabularnewline
174 & 272.482 & 271.226565399939 & 1.25543460006111 \tabularnewline
175 & 268.351 & 270.872550435676 & -2.52155043567575 \tabularnewline
176 & 268.175 & 270.798989751038 & -2.62398975103838 \tabularnewline
177 & 270.674 & 268.873885420874 & 1.80011457912588 \tabularnewline
178 & 272.764 & 270.566751028979 & 2.19724897102071 \tabularnewline
179 & 272.599 & 272.354590365254 & 0.244409634745921 \tabularnewline
180 & 270.333 & 273.188245979503 & -2.8552459795032 \tabularnewline
181 & 270.846 & 268.681172004503 & 2.16482799549749 \tabularnewline
182 & 270.491 & 270.531417820767 & -0.0404178207669474 \tabularnewline
183 & 269.16 & 268.113483640884 & 1.04651635911637 \tabularnewline
184 & 274.027 & 272.311294053137 & 1.7157059468625 \tabularnewline
185 & 273.784 & 273.979908436295 & -0.195908436294872 \tabularnewline
186 & 276.663 & 276.444172999772 & 0.218827000227805 \tabularnewline
187 & 274.525 & 274.870291048617 & -0.345291048616559 \tabularnewline
188 & 271.344 & 276.664094099298 & -5.32009409929827 \tabularnewline
189 & 271.115 & 272.978348895515 & -1.8633488955154 \tabularnewline
190 & 270.798 & 271.61048778734 & -0.812487787340217 \tabularnewline
191 & 273.911 & 270.566664850583 & 3.34433514941702 \tabularnewline
192 & 273.985 & 273.57777338624 & 0.407226613759576 \tabularnewline
193 & 271.917 & 272.294406822278 & -0.377406822277749 \tabularnewline
194 & 273.338 & 271.76252099213 & 1.57547900786972 \tabularnewline
195 & 270.601 & 270.779430474908 & -0.178430474908112 \tabularnewline
196 & 273.547 & 273.990080320633 & -0.443080320633044 \tabularnewline
197 & 275.363 & 273.583017886674 & 1.77998211332624 \tabularnewline
198 & 281.229 & 277.678090845882 & 3.55090915411819 \tabularnewline
199 & 277.793 & 278.833733269339 & -1.04073326933855 \tabularnewline
200 & 279.913 & 279.554362314481 & 0.358637685518886 \tabularnewline
201 & 282.5 & 281.06948676625 & 1.43051323374965 \tabularnewline
202 & 280.041 & 282.757993989271 & -2.71699398927109 \tabularnewline
203 & 282.166 & 280.744911299549 & 1.42108870045109 \tabularnewline
204 & 290.304 & 281.996205395233 & 8.30779460476697 \tabularnewline
205 & 283.519 & 287.486440081036 & -3.96744008103599 \tabularnewline
206 & 287.816 & 284.419180840756 & 3.3968191592441 \tabularnewline
207 & 285.226 & 285.038795183803 & 0.187204816196981 \tabularnewline
208 & 287.595 & 288.809505045248 & -1.21450504524847 \tabularnewline
209 & 289.741 & 288.25990784774 & 1.48109215226026 \tabularnewline
210 & 289.148 & 292.549935488931 & -3.40193548893114 \tabularnewline
211 & 288.301 & 287.578433272023 & 0.72256672797738 \tabularnewline
212 & 290.155 & 290.04154692355 & 0.113453076450128 \tabularnewline
213 & 289.648 & 291.597897820703 & -1.94989782070309 \tabularnewline
214 & 288.225 & 290.117625374306 & -1.89262537430574 \tabularnewline
215 & 289.351 & 289.287079193379 & 0.0639208066207289 \tabularnewline
216 & 294.735 & 290.167364566852 & 4.56763543314781 \tabularnewline
217 & 305.333 & 291.255112225747 & 14.0778877742528 \tabularnewline
218 & 309.03 & 304.252044632372 & 4.77795536762801 \tabularnewline
219 & 310.215 & 306.091063657141 & 4.12393634285945 \tabularnewline
220 & 321.935 & 313.473260939839 & 8.46173906016139 \tabularnewline
221 & 325.734 & 321.930632687859 & 3.80336731214061 \tabularnewline
222 & 320.846 & 328.416485025078 & -7.57048502507791 \tabularnewline
223 & 323.023 & 321.100841416685 & 1.92215858331463 \tabularnewline
224 & 319.753 & 325.201963066046 & -5.44896306604591 \tabularnewline
225 & 321.753 & 322.522465374762 & -0.769465374761694 \tabularnewline
226 & 320.757 & 322.631213089612 & -1.87421308961245 \tabularnewline
227 & 324.479 & 322.624193619571 & 1.85480638042867 \tabularnewline
228 & 324.641 & 326.098412974474 & -1.45741297447387 \tabularnewline
229 & 322.767 & 323.688666590057 & -0.921666590057157 \tabularnewline
230 & 324.181 & 323.477504297203 & 0.703495702796943 \tabularnewline
231 & 321.389 & 321.943572399917 & -0.554572399916992 \tabularnewline
232 & 327.897 & 325.858348174577 & 2.03865182542279 \tabularnewline
233 & 334.287 & 328.329424658883 & 5.95757534111721 \tabularnewline
234 & 332.653 & 335.284538914706 & -2.63153891470552 \tabularnewline
235 & 334.819 & 333.005382280373 & 1.81361771962662 \tabularnewline
236 & 335.264 & 336.227818303683 & -0.963818303683297 \tabularnewline
237 & 339.622 & 337.815385523634 & 1.80661447636635 \tabularnewline
238 & 342.44 & 340.075880793874 & 2.3641192061263 \tabularnewline
239 & 346.585 & 344.192074457377 & 2.39292554262323 \tabularnewline
240 & 335.378 & 348.015430192046 & -12.6374301920463 \tabularnewline
241 & 337.01 & 336.395678133166 & 0.614321866833507 \tabularnewline
242 & 339.13 & 337.643728887489 & 1.48627111251147 \tabularnewline
243 & 341.193 & 336.667109341642 & 4.52589065835832 \tabularnewline
244 & 343.507 & 345.209654114912 & -1.70265411491181 \tabularnewline
245 & 348.915 & 345.058877635098 & 3.85612236490249 \tabularnewline
246 & 346.431 & 349.412350576341 & -2.98135057634107 \tabularnewline
247 & 348.322 & 347.314771825705 & 1.00722817429522 \tabularnewline
248 & 348.288 & 349.578644102797 & -1.29064410279665 \tabularnewline
249 & 346.597 & 351.168065743628 & -4.57106574362808 \tabularnewline
250 & 351.076 & 348.047931777224 & 3.02806822277637 \tabularnewline
251 & 355.215 & 352.570812942601 & 2.6441870573986 \tabularnewline
252 & 350.562 & 354.914733291208 & -4.35273329120764 \tabularnewline
253 & 355.266 & 351.566809529065 & 3.69919047093498 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156957&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]192.013[/C][C]186.021051014957[/C][C]5.9919489850428[/C][/ROW]
[ROW][C]14[/C][C]192.106[/C][C]191.272124051648[/C][C]0.833875948351846[/C][/ROW]
[ROW][C]15[/C][C]192.141[/C][C]192.320035951878[/C][C]-0.17903595187849[/C][/ROW]
[ROW][C]16[/C][C]194.58[/C][C]194.900236015553[/C][C]-0.320236015552808[/C][/ROW]
[ROW][C]17[/C][C]196.421[/C][C]196.698961348086[/C][C]-0.277961348085853[/C][/ROW]
[ROW][C]18[/C][C]199.021[/C][C]199.268961237176[/C][C]-0.24796123717573[/C][/ROW]
[ROW][C]19[/C][C]198.136[/C][C]198.361692802151[/C][C]-0.225692802150746[/C][/ROW]
[ROW][C]20[/C][C]199.426[/C][C]200.987567477018[/C][C]-1.5615674770176[/C][/ROW]
[ROW][C]21[/C][C]200.997[/C][C]202.184738737016[/C][C]-1.1877387370163[/C][/ROW]
[ROW][C]22[/C][C]201.277[/C][C]199.70843401579[/C][C]1.56856598420964[/C][/ROW]
[ROW][C]23[/C][C]201.663[/C][C]201.637985759534[/C][C]0.025014240466362[/C][/ROW]
[ROW][C]24[/C][C]202.874[/C][C]202.307588611129[/C][C]0.566411388870705[/C][/ROW]
[ROW][C]25[/C][C]204.256[/C][C]203.20531758268[/C][C]1.0506824173201[/C][/ROW]
[ROW][C]26[/C][C]205.597[/C][C]203.837876470318[/C][C]1.75912352968209[/C][/ROW]
[ROW][C]27[/C][C]205.471[/C][C]205.569574079371[/C][C]-0.0985740793710477[/C][/ROW]
[ROW][C]28[/C][C]211.064[/C][C]208.226193084448[/C][C]2.83780691555179[/C][/ROW]
[ROW][C]29[/C][C]212.856[/C][C]212.73998572767[/C][C]0.116014272329949[/C][/ROW]
[ROW][C]30[/C][C]217.036[/C][C]215.745911859686[/C][C]1.29008814031383[/C][/ROW]
[ROW][C]31[/C][C]219.302[/C][C]216.256107391919[/C][C]3.04589260808066[/C][/ROW]
[ROW][C]32[/C][C]219.759[/C][C]221.66992526463[/C][C]-1.91092526462981[/C][/ROW]
[ROW][C]33[/C][C]221.388[/C][C]222.826943970577[/C][C]-1.43894397057701[/C][/ROW]
[ROW][C]34[/C][C]220.834[/C][C]220.631166746253[/C][C]0.202833253747372[/C][/ROW]
[ROW][C]35[/C][C]221.788[/C][C]221.444646241135[/C][C]0.343353758865391[/C][/ROW]
[ROW][C]36[/C][C]222.358[/C][C]222.613658343405[/C][C]-0.255658343405031[/C][/ROW]
[ROW][C]37[/C][C]222.972[/C][C]223.042237633256[/C][C]-0.0702376332556014[/C][/ROW]
[ROW][C]38[/C][C]224.164[/C][C]222.955427897121[/C][C]1.20857210287869[/C][/ROW]
[ROW][C]39[/C][C]224.915[/C][C]224.162693784735[/C][C]0.752306215264838[/C][/ROW]
[ROW][C]40[/C][C]226.294[/C][C]227.96779980316[/C][C]-1.67379980316019[/C][/ROW]
[ROW][C]41[/C][C]224.69[/C][C]228.505765617556[/C][C]-3.81576561755622[/C][/ROW]
[ROW][C]42[/C][C]227.021[/C][C]228.325447322547[/C][C]-1.30444732254691[/C][/ROW]
[ROW][C]43[/C][C]229.284[/C][C]226.75550373419[/C][C]2.52849626581036[/C][/ROW]
[ROW][C]44[/C][C]229.189[/C][C]231.104687957289[/C][C]-1.91568795728892[/C][/ROW]
[ROW][C]45[/C][C]230.032[/C][C]232.180072276189[/C][C]-2.14807227618931[/C][/ROW]
[ROW][C]46[/C][C]229.389[/C][C]229.423836412033[/C][C]-0.0348364120326892[/C][/ROW]
[ROW][C]47[/C][C]231.053[/C][C]229.906860084236[/C][C]1.14613991576402[/C][/ROW]
[ROW][C]48[/C][C]232.56[/C][C]231.548800661167[/C][C]1.01119933883251[/C][/ROW]
[ROW][C]49[/C][C]232.681[/C][C]232.944468028533[/C][C]-0.263468028532884[/C][/ROW]
[ROW][C]50[/C][C]231.555[/C][C]232.724739450502[/C][C]-1.16973945050214[/C][/ROW]
[ROW][C]51[/C][C]231.428[/C][C]231.757255768553[/C][C]-0.329255768552571[/C][/ROW]
[ROW][C]52[/C][C]232.141[/C][C]234.232631470069[/C][C]-2.0916314700695[/C][/ROW]
[ROW][C]53[/C][C]234.939[/C][C]234.009599420772[/C][C]0.929400579227661[/C][/ROW]
[ROW][C]54[/C][C]235.424[/C][C]237.929496666792[/C][C]-2.50549666679191[/C][/ROW]
[ROW][C]55[/C][C]235.471[/C][C]235.647980193801[/C][C]-0.176980193800887[/C][/ROW]
[ROW][C]56[/C][C]236.355[/C][C]237.125775398214[/C][C]-0.770775398213857[/C][/ROW]
[ROW][C]57[/C][C]238.693[/C][C]238.975864104887[/C][C]-0.282864104886499[/C][/ROW]
[ROW][C]58[/C][C]236.958[/C][C]237.875128731287[/C][C]-0.917128731286851[/C][/ROW]
[ROW][C]59[/C][C]237.06[/C][C]237.623863641088[/C][C]-0.563863641088091[/C][/ROW]
[ROW][C]60[/C][C]239.282[/C][C]237.671464438846[/C][C]1.61053556115408[/C][/ROW]
[ROW][C]61[/C][C]238.252[/C][C]239.280139326867[/C][C]-1.02813932686684[/C][/ROW]
[ROW][C]62[/C][C]241.552[/C][C]238.164995808098[/C][C]3.38700419190178[/C][/ROW]
[ROW][C]63[/C][C]236.23[/C][C]240.990755159847[/C][C]-4.7607551598467[/C][/ROW]
[ROW][C]64[/C][C]238.909[/C][C]239.451498293604[/C][C]-0.542498293603558[/C][/ROW]
[ROW][C]65[/C][C]240.723[/C][C]240.690756725355[/C][C]0.0322432746451682[/C][/ROW]
[ROW][C]66[/C][C]242.12[/C][C]243.363317088002[/C][C]-1.24331708800162[/C][/ROW]
[ROW][C]67[/C][C]242.1[/C][C]242.243835985243[/C][C]-0.143835985243356[/C][/ROW]
[ROW][C]68[/C][C]243.276[/C][C]243.566634630215[/C][C]-0.290634630215294[/C][/ROW]
[ROW][C]69[/C][C]244.677[/C][C]245.754098716271[/C][C]-1.07709871627108[/C][/ROW]
[ROW][C]70[/C][C]243.494[/C][C]243.802323073261[/C][C]-0.30832307326051[/C][/ROW]
[ROW][C]71[/C][C]244.902[/C][C]243.976723642729[/C][C]0.925276357271002[/C][/ROW]
[ROW][C]72[/C][C]245.247[/C][C]245.400471123556[/C][C]-0.153471123555789[/C][/ROW]
[ROW][C]73[/C][C]245.578[/C][C]245.157083140488[/C][C]0.420916859512459[/C][/ROW]
[ROW][C]74[/C][C]243.052[/C][C]245.608314962242[/C][C]-2.55631496224163[/C][/ROW]
[ROW][C]75[/C][C]238.121[/C][C]242.452424498602[/C][C]-4.33142449860156[/C][/ROW]
[ROW][C]76[/C][C]241.863[/C][C]241.487506768318[/C][C]0.375493231681645[/C][/ROW]
[ROW][C]77[/C][C]241.203[/C][C]243.351606744763[/C][C]-2.14860674476321[/C][/ROW]
[ROW][C]78[/C][C]243.634[/C][C]243.843841931558[/C][C]-0.20984193155769[/C][/ROW]
[ROW][C]79[/C][C]242.351[/C][C]243.472141130855[/C][C]-1.12114113085462[/C][/ROW]
[ROW][C]80[/C][C]245.18[/C][C]243.727964948087[/C][C]1.45203505191293[/C][/ROW]
[ROW][C]81[/C][C]246.126[/C][C]247.073600001348[/C][C]-0.947600001347496[/C][/ROW]
[ROW][C]82[/C][C]244.424[/C][C]245.108371395268[/C][C]-0.684371395267505[/C][/ROW]
[ROW][C]83[/C][C]245.166[/C][C]244.890149620002[/C][C]0.27585037999782[/C][/ROW]
[ROW][C]84[/C][C]247.258[/C][C]245.441919717685[/C][C]1.81608028231506[/C][/ROW]
[ROW][C]85[/C][C]245.094[/C][C]246.709468762495[/C][C]-1.61546876249542[/C][/ROW]
[ROW][C]86[/C][C]246.02[/C][C]244.944114703152[/C][C]1.07588529684776[/C][/ROW]
[ROW][C]87[/C][C]243.082[/C][C]244.470007380099[/C][C]-1.38800738009894[/C][/ROW]
[ROW][C]88[/C][C]245.555[/C][C]246.35269928332[/C][C]-0.797699283319986[/C][/ROW]
[ROW][C]89[/C][C]243.685[/C][C]246.886525261263[/C][C]-3.20152526126307[/C][/ROW]
[ROW][C]90[/C][C]247.277[/C][C]246.583052099981[/C][C]0.693947900018742[/C][/ROW]
[ROW][C]91[/C][C]245.029[/C][C]246.762190994292[/C][C]-1.73319099429227[/C][/ROW]
[ROW][C]92[/C][C]246.169[/C][C]246.65917998413[/C][C]-0.490179984129838[/C][/ROW]
[ROW][C]93[/C][C]246.778[/C][C]247.988286035551[/C][C]-1.21028603555109[/C][/ROW]
[ROW][C]94[/C][C]244.577[/C][C]245.664262022109[/C][C]-1.08726202210872[/C][/ROW]
[ROW][C]95[/C][C]246.048[/C][C]245.033645470832[/C][C]1.01435452916843[/C][/ROW]
[ROW][C]96[/C][C]245.775[/C][C]246.19429085655[/C][C]-0.419290856549651[/C][/ROW]
[ROW][C]97[/C][C]245.328[/C][C]245.046293400474[/C][C]0.281706599525563[/C][/ROW]
[ROW][C]98[/C][C]245.477[/C][C]244.959181496518[/C][C]0.517818503481777[/C][/ROW]
[ROW][C]99[/C][C]241.903[/C][C]243.588074164178[/C][C]-1.68507416417785[/C][/ROW]
[ROW][C]100[/C][C]243.219[/C][C]245.097284236435[/C][C]-1.87828423643518[/C][/ROW]
[ROW][C]101[/C][C]248.088[/C][C]244.275968366276[/C][C]3.81203163372447[/C][/ROW]
[ROW][C]102[/C][C]248.521[/C][C]250.125977561107[/C][C]-1.60497756110709[/C][/ROW]
[ROW][C]103[/C][C]247.389[/C][C]248.048973741286[/C][C]-0.659973741285626[/C][/ROW]
[ROW][C]104[/C][C]249.057[/C][C]248.882773146446[/C][C]0.174226853554387[/C][/ROW]
[ROW][C]105[/C][C]248.916[/C][C]250.623738719916[/C][C]-1.70773871991602[/C][/ROW]
[ROW][C]106[/C][C]249.193[/C][C]247.825494961336[/C][C]1.36750503866378[/C][/ROW]
[ROW][C]107[/C][C]250.768[/C][C]249.424077578375[/C][C]1.34392242162542[/C][/ROW]
[ROW][C]108[/C][C]253.106[/C][C]250.699165934178[/C][C]2.4068340658221[/C][/ROW]
[ROW][C]109[/C][C]249.829[/C][C]252.016698743427[/C][C]-2.18769874342689[/C][/ROW]
[ROW][C]110[/C][C]249.447[/C][C]249.908324368736[/C][C]-0.461324368735632[/C][/ROW]
[ROW][C]111[/C][C]246.755[/C][C]247.475161738495[/C][C]-0.720161738494767[/C][/ROW]
[ROW][C]112[/C][C]250.785[/C][C]249.76017485348[/C][C]1.02482514652002[/C][/ROW]
[ROW][C]113[/C][C]250.14[/C][C]251.991528157012[/C][C]-1.85152815701215[/C][/ROW]
[ROW][C]114[/C][C]255.755[/C][C]252.530917792529[/C][C]3.22408220747096[/C][/ROW]
[ROW][C]115[/C][C]254.671[/C][C]254.592184811378[/C][C]0.0788151886221726[/C][/ROW]
[ROW][C]116[/C][C]253.919[/C][C]256.18565778557[/C][C]-2.26665778557012[/C][/ROW]
[ROW][C]117[/C][C]253.741[/C][C]255.719061401998[/C][C]-1.97806140199805[/C][/ROW]
[ROW][C]118[/C][C]252.729[/C][C]253.013325228855[/C][C]-0.28432522885501[/C][/ROW]
[ROW][C]119[/C][C]253.81[/C][C]253.203928207247[/C][C]0.606071792753227[/C][/ROW]
[ROW][C]120[/C][C]256.653[/C][C]253.922008827321[/C][C]2.73099117267881[/C][/ROW]
[ROW][C]121[/C][C]255.231[/C][C]254.986288049824[/C][C]0.244711950176111[/C][/ROW]
[ROW][C]122[/C][C]258.405[/C][C]255.076336862345[/C][C]3.3286631376549[/C][/ROW]
[ROW][C]123[/C][C]251.061[/C][C]255.848476925894[/C][C]-4.78747692589425[/C][/ROW]
[ROW][C]124[/C][C]254.811[/C][C]254.949432864131[/C][C]-0.13843286413092[/C][/ROW]
[ROW][C]125[/C][C]254.895[/C][C]255.896759537432[/C][C]-1.00175953743204[/C][/ROW]
[ROW][C]126[/C][C]258.325[/C][C]257.656193421548[/C][C]0.668806578451552[/C][/ROW]
[ROW][C]127[/C][C]257.608[/C][C]257.214372426443[/C][C]0.393627573556728[/C][/ROW]
[ROW][C]128[/C][C]258.759[/C][C]258.76916202168[/C][C]-0.0101620216795482[/C][/ROW]
[ROW][C]129[/C][C]258.621[/C][C]260.194054596912[/C][C]-1.57305459691241[/C][/ROW]
[ROW][C]130[/C][C]257.852[/C][C]258.001938831095[/C][C]-0.149938831095483[/C][/ROW]
[ROW][C]131[/C][C]260.56[/C][C]258.402655794807[/C][C]2.15734420519334[/C][/ROW]
[ROW][C]132[/C][C]262.358[/C][C]260.666326244841[/C][C]1.69167375515889[/C][/ROW]
[ROW][C]133[/C][C]260.812[/C][C]260.633805733391[/C][C]0.178194266608728[/C][/ROW]
[ROW][C]134[/C][C]261.165[/C][C]261.00392933455[/C][C]0.161070665450382[/C][/ROW]
[ROW][C]135[/C][C]257.164[/C][C]258.263562271711[/C][C]-1.09956227171097[/C][/ROW]
[ROW][C]136[/C][C]260.72[/C][C]260.924282665076[/C][C]-0.204282665075823[/C][/ROW]
[ROW][C]137[/C][C]259.581[/C][C]261.756376813767[/C][C]-2.17537681376649[/C][/ROW]
[ROW][C]138[/C][C]264.743[/C][C]262.717636569964[/C][C]2.02536343003555[/C][/ROW]
[ROW][C]139[/C][C]261.845[/C][C]263.40230424271[/C][C]-1.55730424271019[/C][/ROW]
[ROW][C]140[/C][C]262.262[/C][C]263.288382625502[/C][C]-1.0263826255017[/C][/ROW]
[ROW][C]141[/C][C]261.631[/C][C]263.675018833718[/C][C]-2.04401883371759[/C][/ROW]
[ROW][C]142[/C][C]258.953[/C][C]261.192303399665[/C][C]-2.2393033996654[/C][/ROW]
[ROW][C]143[/C][C]259.966[/C][C]260.005855865584[/C][C]-0.0398558655838883[/C][/ROW]
[ROW][C]144[/C][C]262.85[/C][C]260.256616230245[/C][C]2.59338376975552[/C][/ROW]
[ROW][C]145[/C][C]262.204[/C][C]260.688318387819[/C][C]1.5156816121808[/C][/ROW]
[ROW][C]146[/C][C]263.418[/C][C]262.068352971399[/C][C]1.34964702860088[/C][/ROW]
[ROW][C]147[/C][C]262.752[/C][C]260.114251911122[/C][C]2.63774808887797[/C][/ROW]
[ROW][C]148[/C][C]266.433[/C][C]265.978844465225[/C][C]0.454155534774713[/C][/ROW]
[ROW][C]149[/C][C]267.722[/C][C]267.187478155423[/C][C]0.534521844577341[/C][/ROW]
[ROW][C]150[/C][C]266.003[/C][C]270.921057355322[/C][C]-4.91805735532176[/C][/ROW]
[ROW][C]151[/C][C]262.971[/C][C]265.428160934987[/C][C]-2.45716093498652[/C][/ROW]
[ROW][C]152[/C][C]265.521[/C][C]264.539840325058[/C][C]0.981159674942091[/C][/ROW]
[ROW][C]153[/C][C]264.676[/C][C]266.444870935932[/C][C]-1.76887093593206[/C][/ROW]
[ROW][C]154[/C][C]270.223[/C][C]264.138202535018[/C][C]6.08479746498159[/C][/ROW]
[ROW][C]155[/C][C]269.508[/C][C]270.227451288839[/C][C]-0.719451288838854[/C][/ROW]
[ROW][C]156[/C][C]268.457[/C][C]270.333016647021[/C][C]-1.87601664702089[/C][/ROW]
[ROW][C]157[/C][C]265.814[/C][C]266.997934762693[/C][C]-1.18393476269262[/C][/ROW]
[ROW][C]158[/C][C]266.68[/C][C]266.106709960893[/C][C]0.573290039107121[/C][/ROW]
[ROW][C]159[/C][C]263.018[/C][C]263.604370885847[/C][C]-0.586370885846804[/C][/ROW]
[ROW][C]160[/C][C]269.285[/C][C]266.463107677739[/C][C]2.82189232226102[/C][/ROW]
[ROW][C]161[/C][C]269.829[/C][C]269.580734137417[/C][C]0.248265862583025[/C][/ROW]
[ROW][C]162[/C][C]270.911[/C][C]272.4510384171[/C][C]-1.54003841710005[/C][/ROW]
[ROW][C]163[/C][C]266.844[/C][C]270.019943487038[/C][C]-3.1759434870379[/C][/ROW]
[ROW][C]164[/C][C]271.244[/C][C]268.887623940395[/C][C]2.3563760596054[/C][/ROW]
[ROW][C]165[/C][C]269.907[/C][C]271.676035189644[/C][C]-1.76903518964446[/C][/ROW]
[ROW][C]166[/C][C]271.296[/C][C]270.206494596201[/C][C]1.08950540379863[/C][/ROW]
[ROW][C]167[/C][C]270.157[/C][C]271.374669081699[/C][C]-1.21766908169906[/C][/ROW]
[ROW][C]168[/C][C]271.322[/C][C]270.8500159132[/C][C]0.471984086800319[/C][/ROW]
[ROW][C]169[/C][C]267.179[/C][C]269.48456941112[/C][C]-2.30556941112047[/C][/ROW]
[ROW][C]170[/C][C]264.101[/C][C]267.775782541915[/C][C]-3.67478254191496[/C][/ROW]
[ROW][C]171[/C][C]265.518[/C][C]261.470066079293[/C][C]4.04793392070724[/C][/ROW]
[ROW][C]172[/C][C]269.419[/C][C]268.452738881761[/C][C]0.966261118239402[/C][/ROW]
[ROW][C]173[/C][C]268.714[/C][C]269.665461476384[/C][C]-0.951461476383543[/C][/ROW]
[ROW][C]174[/C][C]272.482[/C][C]271.226565399939[/C][C]1.25543460006111[/C][/ROW]
[ROW][C]175[/C][C]268.351[/C][C]270.872550435676[/C][C]-2.52155043567575[/C][/ROW]
[ROW][C]176[/C][C]268.175[/C][C]270.798989751038[/C][C]-2.62398975103838[/C][/ROW]
[ROW][C]177[/C][C]270.674[/C][C]268.873885420874[/C][C]1.80011457912588[/C][/ROW]
[ROW][C]178[/C][C]272.764[/C][C]270.566751028979[/C][C]2.19724897102071[/C][/ROW]
[ROW][C]179[/C][C]272.599[/C][C]272.354590365254[/C][C]0.244409634745921[/C][/ROW]
[ROW][C]180[/C][C]270.333[/C][C]273.188245979503[/C][C]-2.8552459795032[/C][/ROW]
[ROW][C]181[/C][C]270.846[/C][C]268.681172004503[/C][C]2.16482799549749[/C][/ROW]
[ROW][C]182[/C][C]270.491[/C][C]270.531417820767[/C][C]-0.0404178207669474[/C][/ROW]
[ROW][C]183[/C][C]269.16[/C][C]268.113483640884[/C][C]1.04651635911637[/C][/ROW]
[ROW][C]184[/C][C]274.027[/C][C]272.311294053137[/C][C]1.7157059468625[/C][/ROW]
[ROW][C]185[/C][C]273.784[/C][C]273.979908436295[/C][C]-0.195908436294872[/C][/ROW]
[ROW][C]186[/C][C]276.663[/C][C]276.444172999772[/C][C]0.218827000227805[/C][/ROW]
[ROW][C]187[/C][C]274.525[/C][C]274.870291048617[/C][C]-0.345291048616559[/C][/ROW]
[ROW][C]188[/C][C]271.344[/C][C]276.664094099298[/C][C]-5.32009409929827[/C][/ROW]
[ROW][C]189[/C][C]271.115[/C][C]272.978348895515[/C][C]-1.8633488955154[/C][/ROW]
[ROW][C]190[/C][C]270.798[/C][C]271.61048778734[/C][C]-0.812487787340217[/C][/ROW]
[ROW][C]191[/C][C]273.911[/C][C]270.566664850583[/C][C]3.34433514941702[/C][/ROW]
[ROW][C]192[/C][C]273.985[/C][C]273.57777338624[/C][C]0.407226613759576[/C][/ROW]
[ROW][C]193[/C][C]271.917[/C][C]272.294406822278[/C][C]-0.377406822277749[/C][/ROW]
[ROW][C]194[/C][C]273.338[/C][C]271.76252099213[/C][C]1.57547900786972[/C][/ROW]
[ROW][C]195[/C][C]270.601[/C][C]270.779430474908[/C][C]-0.178430474908112[/C][/ROW]
[ROW][C]196[/C][C]273.547[/C][C]273.990080320633[/C][C]-0.443080320633044[/C][/ROW]
[ROW][C]197[/C][C]275.363[/C][C]273.583017886674[/C][C]1.77998211332624[/C][/ROW]
[ROW][C]198[/C][C]281.229[/C][C]277.678090845882[/C][C]3.55090915411819[/C][/ROW]
[ROW][C]199[/C][C]277.793[/C][C]278.833733269339[/C][C]-1.04073326933855[/C][/ROW]
[ROW][C]200[/C][C]279.913[/C][C]279.554362314481[/C][C]0.358637685518886[/C][/ROW]
[ROW][C]201[/C][C]282.5[/C][C]281.06948676625[/C][C]1.43051323374965[/C][/ROW]
[ROW][C]202[/C][C]280.041[/C][C]282.757993989271[/C][C]-2.71699398927109[/C][/ROW]
[ROW][C]203[/C][C]282.166[/C][C]280.744911299549[/C][C]1.42108870045109[/C][/ROW]
[ROW][C]204[/C][C]290.304[/C][C]281.996205395233[/C][C]8.30779460476697[/C][/ROW]
[ROW][C]205[/C][C]283.519[/C][C]287.486440081036[/C][C]-3.96744008103599[/C][/ROW]
[ROW][C]206[/C][C]287.816[/C][C]284.419180840756[/C][C]3.3968191592441[/C][/ROW]
[ROW][C]207[/C][C]285.226[/C][C]285.038795183803[/C][C]0.187204816196981[/C][/ROW]
[ROW][C]208[/C][C]287.595[/C][C]288.809505045248[/C][C]-1.21450504524847[/C][/ROW]
[ROW][C]209[/C][C]289.741[/C][C]288.25990784774[/C][C]1.48109215226026[/C][/ROW]
[ROW][C]210[/C][C]289.148[/C][C]292.549935488931[/C][C]-3.40193548893114[/C][/ROW]
[ROW][C]211[/C][C]288.301[/C][C]287.578433272023[/C][C]0.72256672797738[/C][/ROW]
[ROW][C]212[/C][C]290.155[/C][C]290.04154692355[/C][C]0.113453076450128[/C][/ROW]
[ROW][C]213[/C][C]289.648[/C][C]291.597897820703[/C][C]-1.94989782070309[/C][/ROW]
[ROW][C]214[/C][C]288.225[/C][C]290.117625374306[/C][C]-1.89262537430574[/C][/ROW]
[ROW][C]215[/C][C]289.351[/C][C]289.287079193379[/C][C]0.0639208066207289[/C][/ROW]
[ROW][C]216[/C][C]294.735[/C][C]290.167364566852[/C][C]4.56763543314781[/C][/ROW]
[ROW][C]217[/C][C]305.333[/C][C]291.255112225747[/C][C]14.0778877742528[/C][/ROW]
[ROW][C]218[/C][C]309.03[/C][C]304.252044632372[/C][C]4.77795536762801[/C][/ROW]
[ROW][C]219[/C][C]310.215[/C][C]306.091063657141[/C][C]4.12393634285945[/C][/ROW]
[ROW][C]220[/C][C]321.935[/C][C]313.473260939839[/C][C]8.46173906016139[/C][/ROW]
[ROW][C]221[/C][C]325.734[/C][C]321.930632687859[/C][C]3.80336731214061[/C][/ROW]
[ROW][C]222[/C][C]320.846[/C][C]328.416485025078[/C][C]-7.57048502507791[/C][/ROW]
[ROW][C]223[/C][C]323.023[/C][C]321.100841416685[/C][C]1.92215858331463[/C][/ROW]
[ROW][C]224[/C][C]319.753[/C][C]325.201963066046[/C][C]-5.44896306604591[/C][/ROW]
[ROW][C]225[/C][C]321.753[/C][C]322.522465374762[/C][C]-0.769465374761694[/C][/ROW]
[ROW][C]226[/C][C]320.757[/C][C]322.631213089612[/C][C]-1.87421308961245[/C][/ROW]
[ROW][C]227[/C][C]324.479[/C][C]322.624193619571[/C][C]1.85480638042867[/C][/ROW]
[ROW][C]228[/C][C]324.641[/C][C]326.098412974474[/C][C]-1.45741297447387[/C][/ROW]
[ROW][C]229[/C][C]322.767[/C][C]323.688666590057[/C][C]-0.921666590057157[/C][/ROW]
[ROW][C]230[/C][C]324.181[/C][C]323.477504297203[/C][C]0.703495702796943[/C][/ROW]
[ROW][C]231[/C][C]321.389[/C][C]321.943572399917[/C][C]-0.554572399916992[/C][/ROW]
[ROW][C]232[/C][C]327.897[/C][C]325.858348174577[/C][C]2.03865182542279[/C][/ROW]
[ROW][C]233[/C][C]334.287[/C][C]328.329424658883[/C][C]5.95757534111721[/C][/ROW]
[ROW][C]234[/C][C]332.653[/C][C]335.284538914706[/C][C]-2.63153891470552[/C][/ROW]
[ROW][C]235[/C][C]334.819[/C][C]333.005382280373[/C][C]1.81361771962662[/C][/ROW]
[ROW][C]236[/C][C]335.264[/C][C]336.227818303683[/C][C]-0.963818303683297[/C][/ROW]
[ROW][C]237[/C][C]339.622[/C][C]337.815385523634[/C][C]1.80661447636635[/C][/ROW]
[ROW][C]238[/C][C]342.44[/C][C]340.075880793874[/C][C]2.3641192061263[/C][/ROW]
[ROW][C]239[/C][C]346.585[/C][C]344.192074457377[/C][C]2.39292554262323[/C][/ROW]
[ROW][C]240[/C][C]335.378[/C][C]348.015430192046[/C][C]-12.6374301920463[/C][/ROW]
[ROW][C]241[/C][C]337.01[/C][C]336.395678133166[/C][C]0.614321866833507[/C][/ROW]
[ROW][C]242[/C][C]339.13[/C][C]337.643728887489[/C][C]1.48627111251147[/C][/ROW]
[ROW][C]243[/C][C]341.193[/C][C]336.667109341642[/C][C]4.52589065835832[/C][/ROW]
[ROW][C]244[/C][C]343.507[/C][C]345.209654114912[/C][C]-1.70265411491181[/C][/ROW]
[ROW][C]245[/C][C]348.915[/C][C]345.058877635098[/C][C]3.85612236490249[/C][/ROW]
[ROW][C]246[/C][C]346.431[/C][C]349.412350576341[/C][C]-2.98135057634107[/C][/ROW]
[ROW][C]247[/C][C]348.322[/C][C]347.314771825705[/C][C]1.00722817429522[/C][/ROW]
[ROW][C]248[/C][C]348.288[/C][C]349.578644102797[/C][C]-1.29064410279665[/C][/ROW]
[ROW][C]249[/C][C]346.597[/C][C]351.168065743628[/C][C]-4.57106574362808[/C][/ROW]
[ROW][C]250[/C][C]351.076[/C][C]348.047931777224[/C][C]3.02806822277637[/C][/ROW]
[ROW][C]251[/C][C]355.215[/C][C]352.570812942601[/C][C]2.6441870573986[/C][/ROW]
[ROW][C]252[/C][C]350.562[/C][C]354.914733291208[/C][C]-4.35273329120764[/C][/ROW]
[ROW][C]253[/C][C]355.266[/C][C]351.566809529065[/C][C]3.69919047093498[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156957&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156957&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
13192.013186.0210510149575.9919489850428
14192.106191.2721240516480.833875948351846
15192.141192.320035951878-0.17903595187849
16194.58194.900236015553-0.320236015552808
17196.421196.698961348086-0.277961348085853
18199.021199.268961237176-0.24796123717573
19198.136198.361692802151-0.225692802150746
20199.426200.987567477018-1.5615674770176
21200.997202.184738737016-1.1877387370163
22201.277199.708434015791.56856598420964
23201.663201.6379857595340.025014240466362
24202.874202.3075886111290.566411388870705
25204.256203.205317582681.0506824173201
26205.597203.8378764703181.75912352968209
27205.471205.569574079371-0.0985740793710477
28211.064208.2261930844482.83780691555179
29212.856212.739985727670.116014272329949
30217.036215.7459118596861.29008814031383
31219.302216.2561073919193.04589260808066
32219.759221.66992526463-1.91092526462981
33221.388222.826943970577-1.43894397057701
34220.834220.6311667462530.202833253747372
35221.788221.4446462411350.343353758865391
36222.358222.613658343405-0.255658343405031
37222.972223.042237633256-0.0702376332556014
38224.164222.9554278971211.20857210287869
39224.915224.1626937847350.752306215264838
40226.294227.96779980316-1.67379980316019
41224.69228.505765617556-3.81576561755622
42227.021228.325447322547-1.30444732254691
43229.284226.755503734192.52849626581036
44229.189231.104687957289-1.91568795728892
45230.032232.180072276189-2.14807227618931
46229.389229.423836412033-0.0348364120326892
47231.053229.9068600842361.14613991576402
48232.56231.5488006611671.01119933883251
49232.681232.944468028533-0.263468028532884
50231.555232.724739450502-1.16973945050214
51231.428231.757255768553-0.329255768552571
52232.141234.232631470069-2.0916314700695
53234.939234.0095994207720.929400579227661
54235.424237.929496666792-2.50549666679191
55235.471235.647980193801-0.176980193800887
56236.355237.125775398214-0.770775398213857
57238.693238.975864104887-0.282864104886499
58236.958237.875128731287-0.917128731286851
59237.06237.623863641088-0.563863641088091
60239.282237.6714644388461.61053556115408
61238.252239.280139326867-1.02813932686684
62241.552238.1649958080983.38700419190178
63236.23240.990755159847-4.7607551598467
64238.909239.451498293604-0.542498293603558
65240.723240.6907567253550.0322432746451682
66242.12243.363317088002-1.24331708800162
67242.1242.243835985243-0.143835985243356
68243.276243.566634630215-0.290634630215294
69244.677245.754098716271-1.07709871627108
70243.494243.802323073261-0.30832307326051
71244.902243.9767236427290.925276357271002
72245.247245.400471123556-0.153471123555789
73245.578245.1570831404880.420916859512459
74243.052245.608314962242-2.55631496224163
75238.121242.452424498602-4.33142449860156
76241.863241.4875067683180.375493231681645
77241.203243.351606744763-2.14860674476321
78243.634243.843841931558-0.20984193155769
79242.351243.472141130855-1.12114113085462
80245.18243.7279649480871.45203505191293
81246.126247.073600001348-0.947600001347496
82244.424245.108371395268-0.684371395267505
83245.166244.8901496200020.27585037999782
84247.258245.4419197176851.81608028231506
85245.094246.709468762495-1.61546876249542
86246.02244.9441147031521.07588529684776
87243.082244.470007380099-1.38800738009894
88245.555246.35269928332-0.797699283319986
89243.685246.886525261263-3.20152526126307
90247.277246.5830520999810.693947900018742
91245.029246.762190994292-1.73319099429227
92246.169246.65917998413-0.490179984129838
93246.778247.988286035551-1.21028603555109
94244.577245.664262022109-1.08726202210872
95246.048245.0336454708321.01435452916843
96245.775246.19429085655-0.419290856549651
97245.328245.0462934004740.281706599525563
98245.477244.9591814965180.517818503481777
99241.903243.588074164178-1.68507416417785
100243.219245.097284236435-1.87828423643518
101248.088244.2759683662763.81203163372447
102248.521250.125977561107-1.60497756110709
103247.389248.048973741286-0.659973741285626
104249.057248.8827731464460.174226853554387
105248.916250.623738719916-1.70773871991602
106249.193247.8254949613361.36750503866378
107250.768249.4240775783751.34392242162542
108253.106250.6991659341782.4068340658221
109249.829252.016698743427-2.18769874342689
110249.447249.908324368736-0.461324368735632
111246.755247.475161738495-0.720161738494767
112250.785249.760174853481.02482514652002
113250.14251.991528157012-1.85152815701215
114255.755252.5309177925293.22408220747096
115254.671254.5921848113780.0788151886221726
116253.919256.18565778557-2.26665778557012
117253.741255.719061401998-1.97806140199805
118252.729253.013325228855-0.28432522885501
119253.81253.2039282072470.606071792753227
120256.653253.9220088273212.73099117267881
121255.231254.9862880498240.244711950176111
122258.405255.0763368623453.3286631376549
123251.061255.848476925894-4.78747692589425
124254.811254.949432864131-0.13843286413092
125254.895255.896759537432-1.00175953743204
126258.325257.6561934215480.668806578451552
127257.608257.2143724264430.393627573556728
128258.759258.76916202168-0.0101620216795482
129258.621260.194054596912-1.57305459691241
130257.852258.001938831095-0.149938831095483
131260.56258.4026557948072.15734420519334
132262.358260.6663262448411.69167375515889
133260.812260.6338057333910.178194266608728
134261.165261.003929334550.161070665450382
135257.164258.263562271711-1.09956227171097
136260.72260.924282665076-0.204282665075823
137259.581261.756376813767-2.17537681376649
138264.743262.7176365699642.02536343003555
139261.845263.40230424271-1.55730424271019
140262.262263.288382625502-1.0263826255017
141261.631263.675018833718-2.04401883371759
142258.953261.192303399665-2.2393033996654
143259.966260.005855865584-0.0398558655838883
144262.85260.2566162302452.59338376975552
145262.204260.6883183878191.5156816121808
146263.418262.0683529713991.34964702860088
147262.752260.1142519111222.63774808887797
148266.433265.9788444652250.454155534774713
149267.722267.1874781554230.534521844577341
150266.003270.921057355322-4.91805735532176
151262.971265.428160934987-2.45716093498652
152265.521264.5398403250580.981159674942091
153264.676266.444870935932-1.76887093593206
154270.223264.1382025350186.08479746498159
155269.508270.227451288839-0.719451288838854
156268.457270.333016647021-1.87601664702089
157265.814266.997934762693-1.18393476269262
158266.68266.1067099608930.573290039107121
159263.018263.604370885847-0.586370885846804
160269.285266.4631076777392.82189232226102
161269.829269.5807341374170.248265862583025
162270.911272.4510384171-1.54003841710005
163266.844270.019943487038-3.1759434870379
164271.244268.8876239403952.3563760596054
165269.907271.676035189644-1.76903518964446
166271.296270.2064945962011.08950540379863
167270.157271.374669081699-1.21766908169906
168271.322270.85001591320.471984086800319
169267.179269.48456941112-2.30556941112047
170264.101267.775782541915-3.67478254191496
171265.518261.4700660792934.04793392070724
172269.419268.4527388817610.966261118239402
173268.714269.665461476384-0.951461476383543
174272.482271.2265653999391.25543460006111
175268.351270.872550435676-2.52155043567575
176268.175270.798989751038-2.62398975103838
177270.674268.8738854208741.80011457912588
178272.764270.5667510289792.19724897102071
179272.599272.3545903652540.244409634745921
180270.333273.188245979503-2.8552459795032
181270.846268.6811720045032.16482799549749
182270.491270.531417820767-0.0404178207669474
183269.16268.1134836408841.04651635911637
184274.027272.3112940531371.7157059468625
185273.784273.979908436295-0.195908436294872
186276.663276.4441729997720.218827000227805
187274.525274.870291048617-0.345291048616559
188271.344276.664094099298-5.32009409929827
189271.115272.978348895515-1.8633488955154
190270.798271.61048778734-0.812487787340217
191273.911270.5666648505833.34433514941702
192273.985273.577773386240.407226613759576
193271.917272.294406822278-0.377406822277749
194273.338271.762520992131.57547900786972
195270.601270.779430474908-0.178430474908112
196273.547273.990080320633-0.443080320633044
197275.363273.5830178866741.77998211332624
198281.229277.6780908458823.55090915411819
199277.793278.833733269339-1.04073326933855
200279.913279.5543623144810.358637685518886
201282.5281.069486766251.43051323374965
202280.041282.757993989271-2.71699398927109
203282.166280.7449112995491.42108870045109
204290.304281.9962053952338.30779460476697
205283.519287.486440081036-3.96744008103599
206287.816284.4191808407563.3968191592441
207285.226285.0387951838030.187204816196981
208287.595288.809505045248-1.21450504524847
209289.741288.259907847741.48109215226026
210289.148292.549935488931-3.40193548893114
211288.301287.5784332720230.72256672797738
212290.155290.041546923550.113453076450128
213289.648291.597897820703-1.94989782070309
214288.225290.117625374306-1.89262537430574
215289.351289.2870791933790.0639208066207289
216294.735290.1673645668524.56763543314781
217305.333291.25511222574714.0778877742528
218309.03304.2520446323724.77795536762801
219310.215306.0910636571414.12393634285945
220321.935313.4732609398398.46173906016139
221325.734321.9306326878593.80336731214061
222320.846328.416485025078-7.57048502507791
223323.023321.1008414166851.92215858331463
224319.753325.201963066046-5.44896306604591
225321.753322.522465374762-0.769465374761694
226320.757322.631213089612-1.87421308961245
227324.479322.6241936195711.85480638042867
228324.641326.098412974474-1.45741297447387
229322.767323.688666590057-0.921666590057157
230324.181323.4775042972030.703495702796943
231321.389321.943572399917-0.554572399916992
232327.897325.8583481745772.03865182542279
233334.287328.3294246588835.95757534111721
234332.653335.284538914706-2.63153891470552
235334.819333.0053822803731.81361771962662
236335.264336.227818303683-0.963818303683297
237339.622337.8153855236341.80661447636635
238342.44340.0758807938742.3641192061263
239346.585344.1920744573772.39292554262323
240335.378348.015430192046-12.6374301920463
241337.01336.3956781331660.614321866833507
242339.13337.6437288874891.48627111251147
243341.193336.6671093416424.52589065835832
244343.507345.209654114912-1.70265411491181
245348.915345.0588776350983.85612236490249
246346.431349.412350576341-2.98135057634107
247348.322347.3147718257051.00722817429522
248348.288349.578644102797-1.29064410279665
249346.597351.168065743628-4.57106574362808
250351.076348.0479317772243.02806822277637
251355.215352.5708129426012.6441870573986
252350.562354.914733291208-4.35273329120764
253355.266351.5668095290653.69919047093498







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
254355.581284903217350.574866877303360.58770292913
255353.777543409791347.204867505045360.350219314536
256357.918606075312350.023068281173365.814143869451
257359.773085125272350.689606007707368.856564242838
258360.166553673907349.981401642151370.351705705664
259360.950261093817349.723073999516372.177448188117
260362.124576638955349.898627056201374.350526221708
261364.454535146235351.26223863432377.64683165815
262366.015499043218351.881664173493380.149333912944
263368.0396141138352.983496695996383.095731531603
264367.460120915434351.496792193648383.42344963722
265368.628624940073351.769921236422385.487328643725

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
254 & 355.581284903217 & 350.574866877303 & 360.58770292913 \tabularnewline
255 & 353.777543409791 & 347.204867505045 & 360.350219314536 \tabularnewline
256 & 357.918606075312 & 350.023068281173 & 365.814143869451 \tabularnewline
257 & 359.773085125272 & 350.689606007707 & 368.856564242838 \tabularnewline
258 & 360.166553673907 & 349.981401642151 & 370.351705705664 \tabularnewline
259 & 360.950261093817 & 349.723073999516 & 372.177448188117 \tabularnewline
260 & 362.124576638955 & 349.898627056201 & 374.350526221708 \tabularnewline
261 & 364.454535146235 & 351.26223863432 & 377.64683165815 \tabularnewline
262 & 366.015499043218 & 351.881664173493 & 380.149333912944 \tabularnewline
263 & 368.0396141138 & 352.983496695996 & 383.095731531603 \tabularnewline
264 & 367.460120915434 & 351.496792193648 & 383.42344963722 \tabularnewline
265 & 368.628624940073 & 351.769921236422 & 385.487328643725 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156957&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]355.581284903217[/C][C]350.574866877303[/C][C]360.58770292913[/C][/ROW]
[ROW][C]255[/C][C]353.777543409791[/C][C]347.204867505045[/C][C]360.350219314536[/C][/ROW]
[ROW][C]256[/C][C]357.918606075312[/C][C]350.023068281173[/C][C]365.814143869451[/C][/ROW]
[ROW][C]257[/C][C]359.773085125272[/C][C]350.689606007707[/C][C]368.856564242838[/C][/ROW]
[ROW][C]258[/C][C]360.166553673907[/C][C]349.981401642151[/C][C]370.351705705664[/C][/ROW]
[ROW][C]259[/C][C]360.950261093817[/C][C]349.723073999516[/C][C]372.177448188117[/C][/ROW]
[ROW][C]260[/C][C]362.124576638955[/C][C]349.898627056201[/C][C]374.350526221708[/C][/ROW]
[ROW][C]261[/C][C]364.454535146235[/C][C]351.26223863432[/C][C]377.64683165815[/C][/ROW]
[ROW][C]262[/C][C]366.015499043218[/C][C]351.881664173493[/C][C]380.149333912944[/C][/ROW]
[ROW][C]263[/C][C]368.0396141138[/C][C]352.983496695996[/C][C]383.095731531603[/C][/ROW]
[ROW][C]264[/C][C]367.460120915434[/C][C]351.496792193648[/C][C]383.42344963722[/C][/ROW]
[ROW][C]265[/C][C]368.628624940073[/C][C]351.769921236422[/C][C]385.487328643725[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156957&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156957&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
254355.581284903217350.574866877303360.58770292913
255353.777543409791347.204867505045360.350219314536
256357.918606075312350.023068281173365.814143869451
257359.773085125272350.689606007707368.856564242838
258360.166553673907349.981401642151370.351705705664
259360.950261093817349.723073999516372.177448188117
260362.124576638955349.898627056201374.350526221708
261364.454535146235351.26223863432377.64683165815
262366.015499043218351.881664173493380.149333912944
263368.0396141138352.983496695996383.095731531603
264367.460120915434351.496792193648383.42344963722
265368.628624940073351.769921236422385.487328643725



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')