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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_exponentialsmoothing.wasp

Title produced by software

Exponential Smoothing

Date of computation

Thu, 20 Nov 2014 18:34:56 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/20/t141650853033o4p3xwtv8clfp.htm/, Retrieved Sun, 19 May 2024 16:12:06 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257347, Retrieved Sun, 19 May 2024 16:12:06 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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]
- R PD  [Univariate Data Series] [] [2014-11-20 14:03:57] [95c11abf048d3a1e472aeccb09199113]
- RMPD    [Classical Decomposition] [] [2014-11-20 14:11:39] [95c11abf048d3a1e472aeccb09199113]
- RMP         [Exponential Smoothing] [] [2014-11-20 18:34:56] [4bf1efda48b6e8e35beb7b429a900cbb] [Current]

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Dataseries X:

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257347&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257347&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257347&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Estimated Parameters of Exponential Smoothing
Parameter	Value
alpha	0.215301406280504
beta	0
gamma	0.129747858370195

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.215301406280504 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.129747858370195 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257347&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]0.215301406280504[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.129747858370195[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257347&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257347&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
Parameter	Value
alpha	0.215301406280504
beta	0
gamma	0.129747858370195

Interpolation Forecasts of Exponential Smoothing
t	Observed	Fitted	Residuals
13	82232191	80910015.6025641	1322175.39743587
14	73793707	72638240.0070911	1155466.9929089
15	83330888	82600522.316018	730365.683982015
16	80273232	80235775.5903212	37456.4096787572
17	78455007	78478209.1901089	-23202.1901088655
18	85915620	85814837.9080592	100782.09194082
19	71714127	70306275.7829581	1407851.21704185
20	82970010	81785073.8535972	1184936.14640278
21	85869128	91665586.2043799	-5796458.20437986
22	84719654	90898678.1586403	-6179024.1586403
23	83353603	74956287.8749534	8397315.12504658
24	81381682	83970775.6457994	-2589093.64579937
25	75529872	82489343.8351411	-6959471.83514114
26	72386130	72417544.8677199	-31414.8677198738
27	89935108	82081009.0195521	7854098.98044789
28	78972186	81179464.9449368	-2207278.94493678
29	75626681	78932428.0344329	-3305747.03443292
30	83354870	85574943.4382185	-2220073.43821852
31	65132748	69699774.4328672	-4567026.43286717
32	80567672	79869477.2995104	698194.700489596
33	79375763	88934397.0947413	-9558634.09474126
34	80398901	87318537.1161682	-6919636.1161682
35	81954175	72700752.3141242	9253422.68587585
36	77578398	80781002.4280281	-3202604.42802812
37	78920113	78722519.7346654	197593.265334591
38	70529983	70897012.948984	-367029.948983967
39	82747062	81291066.2236346	1455995.77636538
40	79554742	77987622.8432555	1567119.15674447
41	86072787	76441380.8620507	9631406.13794932
42	84762497	85979819.1817136	-1217322.18171355
43	65868424	70081593.6959745	-4213169.69597447
44	90750552	80863550.1748709	9887001.82512906
45	85178167	90862554.9456952	-5684387.94569524
46	87635837	90349509.8122023	-2713672.81220233
47	87357365	78283901.8455221	9073463.15447786
48	79822467	85057221.4040086	-5234754.40400861
49	87606441	82907398.1615953	4699042.83840466
50	80629057	75993573.8374322	4635483.16256776
51	88612885	87650282.8688388	962602.131161153
52	82586339	84251924.9433014	-1665585.94330142
53	92330583	82830725.9519508	9499857.04804921
54	85072223	91236300.403392	-6164077.40339197
55	78397099	73968015.4527692	4429083.54723075
56	88880060	88046241.4356487	833818.564351305
57	82469075	94510713.8040695	-12041638.8040695
58	97774023	92931400.9276934	4842622.0723066
59	89695556	83692757.1021968	6002798.89780316
60	82104989	88348196.3174188	-6243207.31741878
61	87987677	86992641.0657502	995035.934249833
62	78402313	79274867.647389	-872554.647389039
63	66828316	89371741.4955802	-22543425.4955802
64	100766400	80644919.1533797	20121480.8466203
65	94924426	85051293.1036315	9873132.89636849
66	86000262	91942442.8070524	-5942180.80705239
67	84754766	75800453.5990089	8954312.40099113
68	82220707	90486923.1407578	-8266216.14075783
69	87435094	93681256.788168	-6246162.78816804
70	92172811	95068754.6591054	-2895943.65910545
71	87038796	84282107.7880907	2756688.21190928
72	85780891	86991852.6422406	-1210961.64224058
73	92350653	87456693.9463245	4893959.05367553
74	78105109	80388219.229633	-2283110.22963303
75	83999587	87975022.9271303	-3975435.92713027
76	95697029	87589755.3390224	8107273.66097765
77	83789666	88366038.9264258	-4576372.92642581
78	92656650	90535985.7730172	2120664.22698283
79	81770549	77646594.536365	4123954.463635
80	84453056	89539808.2033012	-5086752.20330118
81	94885157	93624352.5228916	1260804.47710842
82	90493287	96969206.7358277	-6475919.73582767
83	83992742	85987297.1749346	-1994555.17493455
84	90446068	87270134.4624813	3175933.53751868
85	91885654	89301040.5268063	2584613.47319375
86	81719573	81004641.7768279	714931.223172113
87	100659035	89064627.3232684	11594407.6767316
88	93673580	93261745.4108051	411834.589194909
89	90781175	91089830.5160677	-308655.516067728
90	98332445	94860468.1119376	3471976.88806237
91	81673087	82465977.3042822	-792890.304282218
92	86056949	92362818.0503378	-6305869.05033784
93	93726596	96831148.3454441	-3104552.34544405
94	93600895	98448436.2872629	-4847541.2872629
95	91509248	88273379.8960544	3235868.1039456
96	90466629	91208757.441795	-742128.441795036
97	88731159	92335895.2048399	-3604736.20483986
98	91396246	82516562.8773433	8879683.1226567
99	99452506	93442102.7124335	6010403.28756648
100	93141035	95298445.9134693	-2157410.91346934
101	100185575	92500013.6172192	7685561.38278084
102	93520390	98376734.7368248	-4856344.73682477
103	72903178	83754925.8099804	-10851747.8099804
104	96366001	90924787.6938984	5441213.30610161
105	94009559	98248216.8760681	-4238657.87606812
106	95659904	99443871.4353712	-3783967.43537119
107	98553859	90320799.8433455	8233059.15665452
108	86889500	93927068.0390343	-7037568.03903428
109	96217656	93407338.2282363	2810317.77176373
110	84024179	86240251.7538654	-2216072.75386536
111	97506427	94484729.8661743	3021697.13382566
112	93600599	94866011.0724676	-1265412.0724676
113	97172016	93261769.5454627	3910246.45453726
114	85193743	97048731.4406876	-11854988.4406876
115	79681809	80309694.9370763	-627885.937076285
116	97603842	91339603.290847	6264238.70915304
117	94115898	97854694.6428514	-3738796.64285138
118	101897898	99204263.4091721	2693634.59082787
119	101096935	92699317.7144939	8397617.28550607
120	88363086	94786267.72033	-6423181.72033004
121	93461481	95401458.5717956	-1939977.57179561
122	79874429	86699875.1221195	-6825446.12211955
123	91522023	94485221.5327181	-2963198.53271806
124	68364449	93141462.998847	-24777013.998847
125	95279387	87002089.6381264	8277297.36187357
126	75637127	90124178.4736717	-14487051.4736717
127	51406114	73961519.6582238	-22555405.6582238
128	102711576	80972109.8045021	21739466.1954979
129	99170564	89800600.7386369	9369963.26136309
130	123678734	94627408.8236985	29051325.1763015
131	112450308	94378050.351728	18072257.648272
132	100044979	97039014.586917	3005964.413083
133	114960402	100140762.154549	14819639.8454509
134	97267524	94550143.8796572	2717380.12034278
135	108270657	104783301.067207	3487355.93279265
136	113990710	102607426.815895	11383283.1841046
137	111470505	107618773.63673	3851731.36326963
138	99849396	107470326.106213	-7620930.10621341
139	99317877	91964489.8388678	7353387.16113217
140	99450766	109924277.244197	-10473511.244197
141	105901465	110557893.102876	-4656428.10287648
142	120431535	114368617.154954	6062917.84504578
143	105369124	108052010.871375	-2682886.87137535
144	101588471	104710419.363276	-3121948.36327583
145	107454084	107695603.980484	-241519.980483919
146	93587376	97630129.9053316	-4042753.90533164
147	108581261	106486214.248644	2095046.7513558
148	105406398	104814481.613794	591916.386206254
149	99039535	106735622.388008	-7696087.38800769
150	110254414	102932847.594623	7321566.40537687
151	97664734	92168731.4344988	5496002.56550124
152	102827246	107913611.994444	-5086365.99444371
153	114877579	110299342.266058	4578236.73394249
154	116270261	117189671.005705	-919410.005705103
155	123123253	108479323.433485	14643929.5665149
156	115939949	108823517.719836	7116431.28016359
157	107718988	114306304.817795	-6587316.8177951
158	103538503	102487556.874451	1050946.12554888
159	114704716	113065229.662614	1639486.33738638
160	110339451	111142376.07524	-802925.075239986
161	109689838	111919379.307936	-2229541.3079363
162	121345420	110822551.388101	10522868.6118986
163	100845326	100561814.03311	283511.966889977
164	117989417	114107015.748874	3882401.25112639
165	119687162	119407716.051403	279445.948596865
166	120750832	124812777.39106	-4061945.39106032
167	116853196	117010387.231565	-157191.231565416
168	116429733	113401482.49857	3028250.50143
169	115645048	116608859.341367	-963811.341366813
170	105332446	106778534.21013	-1446088.21012987
171	117169586	116878513.016514	291072.983485982
172	108354026	114416674.997453	-6062648.99745318
173	115519240	113916004.24876	1603235.75124006
174	112673412	114942739.246317	-2269327.24631739
175	93813113	100885324.904621	-7072211.90462136
176	119816990	113213242.50458	6603747.49541999
177	119789882	118733024.929174	1056857.07082637
178	117960042	123863454.065208	-5903412.06520806
179	120900115	116062148.128015	4837966.87198482
180	115088420	113853027.217426	1235392.78257391
181	116946902	116267955.631385	678946.368614823
182	103135227	106742216.508772	-3606989.50877199
183	124478853	116553815.753321	7925037.24667929
184	107027306	115088689.721009	-8061383.72100888
185	121893811	114938175.008177	6955635.99182321
186	112078589	116723012.19519	-4644423.19519031
187	102244687	101665240.442439	579446.557561278
188	116917776	117032960.80441	-115184.804409876
189	116845594	120541402.312123	-3695808.31212261
190	126056370	123939930.290562	2116439.70943782
191	123222229	118958921.324185	4263307.67581524
192	113535952	116259286.741657	-2723334.74165662
193	127069232	117765242.094967	9303989.90503259
194	113661882	109660123.148352	4001758.85164848
195	114591291	122284006.416783	-7692715.41678293
196	115882665	115828731.402568	53933.5974319577
197	120213953	118954383.178203	1259569.82179722
198	111625246	118331812.923324	-6706566.92332371
199	111767767	103361916.378589	8405850.62141135
200	114581076	120343950.065165	-5762874.06516495
201	117165225	122271882.24767	-5106657.24767041
202	131128808	125958414.653198	5170393.34680206
203	118888095	121853505.186343	-2965410.18634288
204	118341797	116886186.723521	1455610.27647898
205	121752472	120516412.363235	1236059.63676512
206	105623851	110134420.835328	-4510569.83532815
207	110367809	119734938.702416	-9367129.70241569
208	119748744	113707869.219529	6040874.78047113
209	112196045	118245267.246289	-6049222.24628916
210	113988891	115238047.803212	-1249156.80321188
211	106784054	102981779.325215	3802274.67478514
212	108336473	117530096.808443	-9193623.80844346
213	117757116	118786195.124529	-1029079.12452872
214	122401037	124396972.795847	-1995935.79584679
215	105198539	117920812.330741	-12722273.3307411
216	114948995	111302944.700432	3646050.29956827
217	113368696	115382422.056551	-2013726.05655129
218	101813941	103715665.730686	-1901724.73068602
219	115729272	113383410.872367	2345861.12763336
220	116357873	111446899.361871	4910973.63812937
221	110471118	114510099.49455	-4038981.49455033
222	117406273	112424396.592844	4981876.40715587
223	103990740	102023979.528741	1966760.47125916
224	109876750	114853957.304258	-4977207.30425794
225	123023201	117849112.500819	5174088.49918076
226	121017972	124697002.343378	-3679030.34337814
227	120740486	116766389.059434	3974096.94056644
228	122375786	115409780.940113	6966005.05988714
229	119484644	119627810.629836	-143166.629835784
230	110212022	108375191.565808	1836830.43419197
231	119951911	119280312.189534	671598.810465947
232	111030124	117244491.350229	-6214367.35022938
233	116189643	117001168.480929	-811525.48092927
234	62860693	116528781.660429	-53668088.6604289
235	98989753	93193966.7547615	5795786.24523851
236	90902407	106141353.236834	-15238946.2368343
237	116187519	107960675.104227	8226843.89577295
238	105803511	114564465.224393	-8760954.22439301
239	111203214	106318894.139606	4884319.86039387
240	107986276	105462873.322617	2523402.67738347
241	113178075	108000598.644735	5177476.35526453
242	108430237	98095110.8635587	10335126.1364413
243	116741578	110711290.819938	6030287.18006247
244	97354185	109128122.511366	-11773937.5113655
245	119440899	108237895.701995	11203003.2980047
246	111930427	104970770.564888	6959656.43511193
247	100786808	100743387.674122	43420.3258781582
248	108653153	110310673.265413	-1657520.26541346
249	113068088	117443216.842847	-4375128.84284715
250	121751895	119604206.465987	2147688.53401303
251	111612227	115096547.279587	-3484320.27958703
252	103461282	112198374.500362	-8737092.50036225
253	113950376	112581918.477812	1368457.52218777
254	100508026	102381459.186512	-1873433.18651158
255	122489831	111930830.746913	10559000.2530874
256	109152942	109509999.879634	-357057.879634395
257	114483340	113417193.71184	1066146.28816049
258	113376238	107535561.292339	5840676.70766118
259	104237959	102363098.008472	1874860.99152774
260	111993653	112151517.55081	-157864.550810069
261	100383235	119330251.333706	-18947016.3337061
262	125609531	119018000.445634	6591530.55436623
263	123678915	114893695.196175	8785219.80382527
264	116020784	114102371.352809	1918412.64719117
265	119311840	117808936.553603	1502903.4463966
266	107194282	107307357.163317	-113075.163316712
267	116106381	118501519.155037	-2395138.15503718
268	108294419	112180247.859468	-3885828.8594677
269	114413022	115472592.969129	-1059570.96912853
270	105708801	109619399.718953	-3910598.71895303
271	109865807	101943701.677897	7922105.32210258
272	105811647	112827143.620329	-7015496.62032886
273	113177922	116616440.378396	-3438518.37839623
274	123794114	122243346.013282	1550767.98671818
275	114665734	117257103.49448	-2591369.49447967
276	113653969	113317254.000405	336714.999595031
277	121876273	116640973.25089	5235299.74911013
278	106068149	106778456.464588	-710307.464588061
279	109814389	117611689.909308	-7797300.90930827
280	111864093	109975553.739742	1888539.26025769
281	113947261	114798878.113156	-851617.11315605
282	110633362	108700186.040656	1933175.95934442
283	92998823	103487383.552727	-10488560.5527274
284	99652406	108886141.742793	-9233735.74279349
285	110648420	112562031.248153	-1913611.24815282
286	110082433	119025225.555732	-8942792.55573153
287	108071321	111357981.409273	-3286660.40927337
288	111130903	107566551.758801	3564351.24119891
289	117728231	112083925.054027	5644305.9459727
290	106115490	101704127.995765	4411362.00423494
291	119024399	112918516.285337	6105882.71466331
292	108075574	109261899.178922	-1186325.17892168
293	101916014	113144217.477734	-11228203.4777345
294	114749451	105094959.799821	9654491.20017911
295	98085802	100279873.554087	-2194071.55408688
296	106786637	107592204.32063	-805567.320630431
297	103410120	113827973.896667	-10417853.8966674
298	108992471	117744531.033302	-8752060.03330216
299	117580573	110694219.434448	6886353.56555237
300	137422549	109790575.787706	27631973.2122941
301	106333038	119701508.288458	-13368470.2884578
302	106432332	105102704.094936	1329627.9050636
303	110471851	115826114.871875	-5354263.87187496
304	106533247	108959670.804023	-2426423.80402307
305	108054294	111552600.751267	-3498306.75126721
306	105482116	107293729.70869	-1811613.70869033
307	93709189	98803637.6820479	-5094448.68204793
308	109131113	105632880.902957	3498232.09704292
309	108603575	111816609.178058	-3213034.17805755
310	108377401	117453973.539419	-9076572.53941917
311	113640986	111925987.151141	1714998.84885861
312	113462687	112021116.546305	1441570.45369457
313	109111012	112118841.905903	-3007829.90590335
314	99183342	101247155.069579	-2063813.0695795
315	110833333	110559446.413042	273886.586958125
316	101184109	105202843.123309	-4018734.12330884
317	117051206	107343814.841798	9707391.15820169
318	114021001	106099876.344697	7921124.65530281
319	93696965	99371021.422384	-5674056.42238402
320	103464664	106950320.563358	-3485656.56335784
321	108671675	110947113.890321	-2275438.89032078
322	105845010	116189359.627276	-10344349.6272762
323	110352377	111487140.896821	-1134763.89682062
324	107996666	110940873.810467	-2944207.81046726
325	119381356	109641328.312417	9740027.68758327
326	103249698	101610386.293319	1639311.7066807
327	117017433	111957973.735044	5059459.26495601
328	111095171	107194666.543481	3900504.45651856
329	112391974	112438158.936589	-46184.9365888089
330	109513260	108912396.706432	600863.293568298
331	103082589	99223313.5641342	3859275.43586582
332	114362587	109077959.932418	5284627.06758162
333	106929743	115086223.50456	-8156480.50455958
334	121483225	118240753.009322	3242471.9906776
335	117608611	117401451.282116	207159.717883602
336	104439801	116959877.392706	-12520076.3927065
337	145250611	114890053.50932	30360557.49068
338	133552134	110473982.666732	23078151.3332679
339	130927906	125785597.782472	5142308.21752761
340	135472018	120922131.465035	14549886.5349652
341	140971640	128056626.658439	12915013.3415609
342	139502183	127387306.541518	12114876.458482
343	136341605	120508955.217187	15832649.7828133
344	121440745	133086605.19181	-11645860.1918098
345	145208563	134081232.073493	11127330.9265067
346	154299558	142548154.415064	11751403.5849361
347	133159384	143231803.492955	-10072419.4929546
348	149002813	139281224.136971	9721588.86302859
349	142098473	146365866.409322	-4267393.40932181
350	129893855	133752905.699969	-3859050.69996934
351	145444831	141438802.023089	4006028.97691089
352	141821958	137288506.600976	4533451.39902395
353	132856599	142099997.941378	-9243398.94137788
354	144575294	136578476.192924	7996817.8070758
355	132377086	129192018.563999	3185067.43600126
356	139631892	136248957.781409	3382934.21859136
357	143836436	142797911.276327	1038524.72367251
358	150120462	149156238.140595	964223.859404922
359	146476407	145295444.184028	1180962.815972
360	150959969	145783020.485168	5176948.51483184
361	139843831	150464935.578982	-10621104.5789823
362	135067495	136525586.500453	-1458091.50045255
363	162217974	145529179.773929	16688794.2260709
364	148754317	144163199.984507	4591117.01549312
365	142087889	147584444.873025	-5496555.87302485
366	151878396	144624901.239003	7253494.76099715
367	137232674	136588506.555246	644167.444753557
368	152539908	143118531.83454	9421376.16546026
369	157730636	150728879.097541	7001756.90245882
370	155919549	158363533.444808	-2443984.44480827
371	158345832	153791014.282596	4554817.71740368
372	155293830	155411829.428717	-117999.428716511
373	148211057	157345288.204769	-9134231.20476907
374	145367208	144658978.557049	708229.442950606
375	159322145	155976571.96301	3345573.03698969
376	141394808	150506077.537124	-9111269.53712365
377	152501604	149950123.474985	2551480.52501512
378	144788279	150021453.815973	-5233174.81597275
379	132665186	138623746.421632	-5958560.42163247
380	153447911	144625828.723963	8822082.27603665
381	154073968	151860798.565715	2213169.43428475
382	151218659	157502764.392125	-6284105.39212471
383	152314179	152816030.568264	-501851.56826359
384	153576457	152872384.351548	704072.648452371
385	146956048	154064867.138669	-7108819.13866925
386	142730585	142816721.629003	-86136.6290030181
387	154013861	154231802.665695	-217941.665694863
388	146390069	146725810.473366	-335741.473365754
389	150867957	149246659.073114	1621297.92688578
390	147479833	148325140.974203	-845307.974202663
391	144721295	137798293.824362	6923001.17563817
392	151670553	148078655.467005	3591897.53299475
393	138026642	153514686.186447	-15488044.1864468
394	163964340	154480423.108426	9483916.89157391
395	154950637	153777275.045358	1173361.9546423
396	145384844	154317083.372396	-8932239.37239635
397	157311208	152639400.97543	4671807.02457026
398	137243260	144642640.953077	-7399380.95307708
399	151682424	154469750.741131	-2787326.74113056
400	151261896	146398572.781442	4863323.21855816
401	152246280	150238039.298797	2008240.70120251
402	138405427	149148698.070467	-10743271.0704669
403	146314866	137281720.110974	9033145.88902575
404	138362743	147677249.349275	-9314506.34927484
405	145963411	148391927.781573	-2428516.78157282
406	162261490	154711868.643512	7549621.35648751
407	143566427	152746141.817575	-9179714.81757513
408	149031577	150028036.952316	-996459.952316165
409	157251394	151444007.283302	5807386.71669826
410	139046214	142462735.76273	-3416521.76273015
411	150614308	153616927.635711	-3002619.63571101
412	152250128	146278332.146687	5971795.85331276
413	148828360	150065769.973279	-1237409.97327921
414	146906898	146979366.406971	-72468.4069705009
415	144665280	139423322.855487	5241957.14451274
416	141160729	147134575.00547	-5973846.00546989

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 82232191 & 80910015.6025641 & 1322175.39743587 \tabularnewline
14 & 73793707 & 72638240.0070911 & 1155466.9929089 \tabularnewline
15 & 83330888 & 82600522.316018 & 730365.683982015 \tabularnewline
16 & 80273232 & 80235775.5903212 & 37456.4096787572 \tabularnewline
17 & 78455007 & 78478209.1901089 & -23202.1901088655 \tabularnewline
18 & 85915620 & 85814837.9080592 & 100782.09194082 \tabularnewline
19 & 71714127 & 70306275.7829581 & 1407851.21704185 \tabularnewline
20 & 82970010 & 81785073.8535972 & 1184936.14640278 \tabularnewline
21 & 85869128 & 91665586.2043799 & -5796458.20437986 \tabularnewline
22 & 84719654 & 90898678.1586403 & -6179024.1586403 \tabularnewline
23 & 83353603 & 74956287.8749534 & 8397315.12504658 \tabularnewline
24 & 81381682 & 83970775.6457994 & -2589093.64579937 \tabularnewline
25 & 75529872 & 82489343.8351411 & -6959471.83514114 \tabularnewline
26 & 72386130 & 72417544.8677199 & -31414.8677198738 \tabularnewline
27 & 89935108 & 82081009.0195521 & 7854098.98044789 \tabularnewline
28 & 78972186 & 81179464.9449368 & -2207278.94493678 \tabularnewline
29 & 75626681 & 78932428.0344329 & -3305747.03443292 \tabularnewline
30 & 83354870 & 85574943.4382185 & -2220073.43821852 \tabularnewline
31 & 65132748 & 69699774.4328672 & -4567026.43286717 \tabularnewline
32 & 80567672 & 79869477.2995104 & 698194.700489596 \tabularnewline
33 & 79375763 & 88934397.0947413 & -9558634.09474126 \tabularnewline
34 & 80398901 & 87318537.1161682 & -6919636.1161682 \tabularnewline
35 & 81954175 & 72700752.3141242 & 9253422.68587585 \tabularnewline
36 & 77578398 & 80781002.4280281 & -3202604.42802812 \tabularnewline
37 & 78920113 & 78722519.7346654 & 197593.265334591 \tabularnewline
38 & 70529983 & 70897012.948984 & -367029.948983967 \tabularnewline
39 & 82747062 & 81291066.2236346 & 1455995.77636538 \tabularnewline
40 & 79554742 & 77987622.8432555 & 1567119.15674447 \tabularnewline
41 & 86072787 & 76441380.8620507 & 9631406.13794932 \tabularnewline
42 & 84762497 & 85979819.1817136 & -1217322.18171355 \tabularnewline
43 & 65868424 & 70081593.6959745 & -4213169.69597447 \tabularnewline
44 & 90750552 & 80863550.1748709 & 9887001.82512906 \tabularnewline
45 & 85178167 & 90862554.9456952 & -5684387.94569524 \tabularnewline
46 & 87635837 & 90349509.8122023 & -2713672.81220233 \tabularnewline
47 & 87357365 & 78283901.8455221 & 9073463.15447786 \tabularnewline
48 & 79822467 & 85057221.4040086 & -5234754.40400861 \tabularnewline
49 & 87606441 & 82907398.1615953 & 4699042.83840466 \tabularnewline
50 & 80629057 & 75993573.8374322 & 4635483.16256776 \tabularnewline
51 & 88612885 & 87650282.8688388 & 962602.131161153 \tabularnewline
52 & 82586339 & 84251924.9433014 & -1665585.94330142 \tabularnewline
53 & 92330583 & 82830725.9519508 & 9499857.04804921 \tabularnewline
54 & 85072223 & 91236300.403392 & -6164077.40339197 \tabularnewline
55 & 78397099 & 73968015.4527692 & 4429083.54723075 \tabularnewline
56 & 88880060 & 88046241.4356487 & 833818.564351305 \tabularnewline
57 & 82469075 & 94510713.8040695 & -12041638.8040695 \tabularnewline
58 & 97774023 & 92931400.9276934 & 4842622.0723066 \tabularnewline
59 & 89695556 & 83692757.1021968 & 6002798.89780316 \tabularnewline
60 & 82104989 & 88348196.3174188 & -6243207.31741878 \tabularnewline
61 & 87987677 & 86992641.0657502 & 995035.934249833 \tabularnewline
62 & 78402313 & 79274867.647389 & -872554.647389039 \tabularnewline
63 & 66828316 & 89371741.4955802 & -22543425.4955802 \tabularnewline
64 & 100766400 & 80644919.1533797 & 20121480.8466203 \tabularnewline
65 & 94924426 & 85051293.1036315 & 9873132.89636849 \tabularnewline
66 & 86000262 & 91942442.8070524 & -5942180.80705239 \tabularnewline
67 & 84754766 & 75800453.5990089 & 8954312.40099113 \tabularnewline
68 & 82220707 & 90486923.1407578 & -8266216.14075783 \tabularnewline
69 & 87435094 & 93681256.788168 & -6246162.78816804 \tabularnewline
70 & 92172811 & 95068754.6591054 & -2895943.65910545 \tabularnewline
71 & 87038796 & 84282107.7880907 & 2756688.21190928 \tabularnewline
72 & 85780891 & 86991852.6422406 & -1210961.64224058 \tabularnewline
73 & 92350653 & 87456693.9463245 & 4893959.05367553 \tabularnewline
74 & 78105109 & 80388219.229633 & -2283110.22963303 \tabularnewline
75 & 83999587 & 87975022.9271303 & -3975435.92713027 \tabularnewline
76 & 95697029 & 87589755.3390224 & 8107273.66097765 \tabularnewline
77 & 83789666 & 88366038.9264258 & -4576372.92642581 \tabularnewline
78 & 92656650 & 90535985.7730172 & 2120664.22698283 \tabularnewline
79 & 81770549 & 77646594.536365 & 4123954.463635 \tabularnewline
80 & 84453056 & 89539808.2033012 & -5086752.20330118 \tabularnewline
81 & 94885157 & 93624352.5228916 & 1260804.47710842 \tabularnewline
82 & 90493287 & 96969206.7358277 & -6475919.73582767 \tabularnewline
83 & 83992742 & 85987297.1749346 & -1994555.17493455 \tabularnewline
84 & 90446068 & 87270134.4624813 & 3175933.53751868 \tabularnewline
85 & 91885654 & 89301040.5268063 & 2584613.47319375 \tabularnewline
86 & 81719573 & 81004641.7768279 & 714931.223172113 \tabularnewline
87 & 100659035 & 89064627.3232684 & 11594407.6767316 \tabularnewline
88 & 93673580 & 93261745.4108051 & 411834.589194909 \tabularnewline
89 & 90781175 & 91089830.5160677 & -308655.516067728 \tabularnewline
90 & 98332445 & 94860468.1119376 & 3471976.88806237 \tabularnewline
91 & 81673087 & 82465977.3042822 & -792890.304282218 \tabularnewline
92 & 86056949 & 92362818.0503378 & -6305869.05033784 \tabularnewline
93 & 93726596 & 96831148.3454441 & -3104552.34544405 \tabularnewline
94 & 93600895 & 98448436.2872629 & -4847541.2872629 \tabularnewline
95 & 91509248 & 88273379.8960544 & 3235868.1039456 \tabularnewline
96 & 90466629 & 91208757.441795 & -742128.441795036 \tabularnewline
97 & 88731159 & 92335895.2048399 & -3604736.20483986 \tabularnewline
98 & 91396246 & 82516562.8773433 & 8879683.1226567 \tabularnewline
99 & 99452506 & 93442102.7124335 & 6010403.28756648 \tabularnewline
100 & 93141035 & 95298445.9134693 & -2157410.91346934 \tabularnewline
101 & 100185575 & 92500013.6172192 & 7685561.38278084 \tabularnewline
102 & 93520390 & 98376734.7368248 & -4856344.73682477 \tabularnewline
103 & 72903178 & 83754925.8099804 & -10851747.8099804 \tabularnewline
104 & 96366001 & 90924787.6938984 & 5441213.30610161 \tabularnewline
105 & 94009559 & 98248216.8760681 & -4238657.87606812 \tabularnewline
106 & 95659904 & 99443871.4353712 & -3783967.43537119 \tabularnewline
107 & 98553859 & 90320799.8433455 & 8233059.15665452 \tabularnewline
108 & 86889500 & 93927068.0390343 & -7037568.03903428 \tabularnewline
109 & 96217656 & 93407338.2282363 & 2810317.77176373 \tabularnewline
110 & 84024179 & 86240251.7538654 & -2216072.75386536 \tabularnewline
111 & 97506427 & 94484729.8661743 & 3021697.13382566 \tabularnewline
112 & 93600599 & 94866011.0724676 & -1265412.0724676 \tabularnewline
113 & 97172016 & 93261769.5454627 & 3910246.45453726 \tabularnewline
114 & 85193743 & 97048731.4406876 & -11854988.4406876 \tabularnewline
115 & 79681809 & 80309694.9370763 & -627885.937076285 \tabularnewline
116 & 97603842 & 91339603.290847 & 6264238.70915304 \tabularnewline
117 & 94115898 & 97854694.6428514 & -3738796.64285138 \tabularnewline
118 & 101897898 & 99204263.4091721 & 2693634.59082787 \tabularnewline
119 & 101096935 & 92699317.7144939 & 8397617.28550607 \tabularnewline
120 & 88363086 & 94786267.72033 & -6423181.72033004 \tabularnewline
121 & 93461481 & 95401458.5717956 & -1939977.57179561 \tabularnewline
122 & 79874429 & 86699875.1221195 & -6825446.12211955 \tabularnewline
123 & 91522023 & 94485221.5327181 & -2963198.53271806 \tabularnewline
124 & 68364449 & 93141462.998847 & -24777013.998847 \tabularnewline
125 & 95279387 & 87002089.6381264 & 8277297.36187357 \tabularnewline
126 & 75637127 & 90124178.4736717 & -14487051.4736717 \tabularnewline
127 & 51406114 & 73961519.6582238 & -22555405.6582238 \tabularnewline
128 & 102711576 & 80972109.8045021 & 21739466.1954979 \tabularnewline
129 & 99170564 & 89800600.7386369 & 9369963.26136309 \tabularnewline
130 & 123678734 & 94627408.8236985 & 29051325.1763015 \tabularnewline
131 & 112450308 & 94378050.351728 & 18072257.648272 \tabularnewline
132 & 100044979 & 97039014.586917 & 3005964.413083 \tabularnewline
133 & 114960402 & 100140762.154549 & 14819639.8454509 \tabularnewline
134 & 97267524 & 94550143.8796572 & 2717380.12034278 \tabularnewline
135 & 108270657 & 104783301.067207 & 3487355.93279265 \tabularnewline
136 & 113990710 & 102607426.815895 & 11383283.1841046 \tabularnewline
137 & 111470505 & 107618773.63673 & 3851731.36326963 \tabularnewline
138 & 99849396 & 107470326.106213 & -7620930.10621341 \tabularnewline
139 & 99317877 & 91964489.8388678 & 7353387.16113217 \tabularnewline
140 & 99450766 & 109924277.244197 & -10473511.244197 \tabularnewline
141 & 105901465 & 110557893.102876 & -4656428.10287648 \tabularnewline
142 & 120431535 & 114368617.154954 & 6062917.84504578 \tabularnewline
143 & 105369124 & 108052010.871375 & -2682886.87137535 \tabularnewline
144 & 101588471 & 104710419.363276 & -3121948.36327583 \tabularnewline
145 & 107454084 & 107695603.980484 & -241519.980483919 \tabularnewline
146 & 93587376 & 97630129.9053316 & -4042753.90533164 \tabularnewline
147 & 108581261 & 106486214.248644 & 2095046.7513558 \tabularnewline
148 & 105406398 & 104814481.613794 & 591916.386206254 \tabularnewline
149 & 99039535 & 106735622.388008 & -7696087.38800769 \tabularnewline
150 & 110254414 & 102932847.594623 & 7321566.40537687 \tabularnewline
151 & 97664734 & 92168731.4344988 & 5496002.56550124 \tabularnewline
152 & 102827246 & 107913611.994444 & -5086365.99444371 \tabularnewline
153 & 114877579 & 110299342.266058 & 4578236.73394249 \tabularnewline
154 & 116270261 & 117189671.005705 & -919410.005705103 \tabularnewline
155 & 123123253 & 108479323.433485 & 14643929.5665149 \tabularnewline
156 & 115939949 & 108823517.719836 & 7116431.28016359 \tabularnewline
157 & 107718988 & 114306304.817795 & -6587316.8177951 \tabularnewline
158 & 103538503 & 102487556.874451 & 1050946.12554888 \tabularnewline
159 & 114704716 & 113065229.662614 & 1639486.33738638 \tabularnewline
160 & 110339451 & 111142376.07524 & -802925.075239986 \tabularnewline
161 & 109689838 & 111919379.307936 & -2229541.3079363 \tabularnewline
162 & 121345420 & 110822551.388101 & 10522868.6118986 \tabularnewline
163 & 100845326 & 100561814.03311 & 283511.966889977 \tabularnewline
164 & 117989417 & 114107015.748874 & 3882401.25112639 \tabularnewline
165 & 119687162 & 119407716.051403 & 279445.948596865 \tabularnewline
166 & 120750832 & 124812777.39106 & -4061945.39106032 \tabularnewline
167 & 116853196 & 117010387.231565 & -157191.231565416 \tabularnewline
168 & 116429733 & 113401482.49857 & 3028250.50143 \tabularnewline
169 & 115645048 & 116608859.341367 & -963811.341366813 \tabularnewline
170 & 105332446 & 106778534.21013 & -1446088.21012987 \tabularnewline
171 & 117169586 & 116878513.016514 & 291072.983485982 \tabularnewline
172 & 108354026 & 114416674.997453 & -6062648.99745318 \tabularnewline
173 & 115519240 & 113916004.24876 & 1603235.75124006 \tabularnewline
174 & 112673412 & 114942739.246317 & -2269327.24631739 \tabularnewline
175 & 93813113 & 100885324.904621 & -7072211.90462136 \tabularnewline
176 & 119816990 & 113213242.50458 & 6603747.49541999 \tabularnewline
177 & 119789882 & 118733024.929174 & 1056857.07082637 \tabularnewline
178 & 117960042 & 123863454.065208 & -5903412.06520806 \tabularnewline
179 & 120900115 & 116062148.128015 & 4837966.87198482 \tabularnewline
180 & 115088420 & 113853027.217426 & 1235392.78257391 \tabularnewline
181 & 116946902 & 116267955.631385 & 678946.368614823 \tabularnewline
182 & 103135227 & 106742216.508772 & -3606989.50877199 \tabularnewline
183 & 124478853 & 116553815.753321 & 7925037.24667929 \tabularnewline
184 & 107027306 & 115088689.721009 & -8061383.72100888 \tabularnewline
185 & 121893811 & 114938175.008177 & 6955635.99182321 \tabularnewline
186 & 112078589 & 116723012.19519 & -4644423.19519031 \tabularnewline
187 & 102244687 & 101665240.442439 & 579446.557561278 \tabularnewline
188 & 116917776 & 117032960.80441 & -115184.804409876 \tabularnewline
189 & 116845594 & 120541402.312123 & -3695808.31212261 \tabularnewline
190 & 126056370 & 123939930.290562 & 2116439.70943782 \tabularnewline
191 & 123222229 & 118958921.324185 & 4263307.67581524 \tabularnewline
192 & 113535952 & 116259286.741657 & -2723334.74165662 \tabularnewline
193 & 127069232 & 117765242.094967 & 9303989.90503259 \tabularnewline
194 & 113661882 & 109660123.148352 & 4001758.85164848 \tabularnewline
195 & 114591291 & 122284006.416783 & -7692715.41678293 \tabularnewline
196 & 115882665 & 115828731.402568 & 53933.5974319577 \tabularnewline
197 & 120213953 & 118954383.178203 & 1259569.82179722 \tabularnewline
198 & 111625246 & 118331812.923324 & -6706566.92332371 \tabularnewline
199 & 111767767 & 103361916.378589 & 8405850.62141135 \tabularnewline
200 & 114581076 & 120343950.065165 & -5762874.06516495 \tabularnewline
201 & 117165225 & 122271882.24767 & -5106657.24767041 \tabularnewline
202 & 131128808 & 125958414.653198 & 5170393.34680206 \tabularnewline
203 & 118888095 & 121853505.186343 & -2965410.18634288 \tabularnewline
204 & 118341797 & 116886186.723521 & 1455610.27647898 \tabularnewline
205 & 121752472 & 120516412.363235 & 1236059.63676512 \tabularnewline
206 & 105623851 & 110134420.835328 & -4510569.83532815 \tabularnewline
207 & 110367809 & 119734938.702416 & -9367129.70241569 \tabularnewline
208 & 119748744 & 113707869.219529 & 6040874.78047113 \tabularnewline
209 & 112196045 & 118245267.246289 & -6049222.24628916 \tabularnewline
210 & 113988891 & 115238047.803212 & -1249156.80321188 \tabularnewline
211 & 106784054 & 102981779.325215 & 3802274.67478514 \tabularnewline
212 & 108336473 & 117530096.808443 & -9193623.80844346 \tabularnewline
213 & 117757116 & 118786195.124529 & -1029079.12452872 \tabularnewline
214 & 122401037 & 124396972.795847 & -1995935.79584679 \tabularnewline
215 & 105198539 & 117920812.330741 & -12722273.3307411 \tabularnewline
216 & 114948995 & 111302944.700432 & 3646050.29956827 \tabularnewline
217 & 113368696 & 115382422.056551 & -2013726.05655129 \tabularnewline
218 & 101813941 & 103715665.730686 & -1901724.73068602 \tabularnewline
219 & 115729272 & 113383410.872367 & 2345861.12763336 \tabularnewline
220 & 116357873 & 111446899.361871 & 4910973.63812937 \tabularnewline
221 & 110471118 & 114510099.49455 & -4038981.49455033 \tabularnewline
222 & 117406273 & 112424396.592844 & 4981876.40715587 \tabularnewline
223 & 103990740 & 102023979.528741 & 1966760.47125916 \tabularnewline
224 & 109876750 & 114853957.304258 & -4977207.30425794 \tabularnewline
225 & 123023201 & 117849112.500819 & 5174088.49918076 \tabularnewline
226 & 121017972 & 124697002.343378 & -3679030.34337814 \tabularnewline
227 & 120740486 & 116766389.059434 & 3974096.94056644 \tabularnewline
228 & 122375786 & 115409780.940113 & 6966005.05988714 \tabularnewline
229 & 119484644 & 119627810.629836 & -143166.629835784 \tabularnewline
230 & 110212022 & 108375191.565808 & 1836830.43419197 \tabularnewline
231 & 119951911 & 119280312.189534 & 671598.810465947 \tabularnewline
232 & 111030124 & 117244491.350229 & -6214367.35022938 \tabularnewline
233 & 116189643 & 117001168.480929 & -811525.48092927 \tabularnewline
234 & 62860693 & 116528781.660429 & -53668088.6604289 \tabularnewline
235 & 98989753 & 93193966.7547615 & 5795786.24523851 \tabularnewline
236 & 90902407 & 106141353.236834 & -15238946.2368343 \tabularnewline
237 & 116187519 & 107960675.104227 & 8226843.89577295 \tabularnewline
238 & 105803511 & 114564465.224393 & -8760954.22439301 \tabularnewline
239 & 111203214 & 106318894.139606 & 4884319.86039387 \tabularnewline
240 & 107986276 & 105462873.322617 & 2523402.67738347 \tabularnewline
241 & 113178075 & 108000598.644735 & 5177476.35526453 \tabularnewline
242 & 108430237 & 98095110.8635587 & 10335126.1364413 \tabularnewline
243 & 116741578 & 110711290.819938 & 6030287.18006247 \tabularnewline
244 & 97354185 & 109128122.511366 & -11773937.5113655 \tabularnewline
245 & 119440899 & 108237895.701995 & 11203003.2980047 \tabularnewline
246 & 111930427 & 104970770.564888 & 6959656.43511193 \tabularnewline
247 & 100786808 & 100743387.674122 & 43420.3258781582 \tabularnewline
248 & 108653153 & 110310673.265413 & -1657520.26541346 \tabularnewline
249 & 113068088 & 117443216.842847 & -4375128.84284715 \tabularnewline
250 & 121751895 & 119604206.465987 & 2147688.53401303 \tabularnewline
251 & 111612227 & 115096547.279587 & -3484320.27958703 \tabularnewline
252 & 103461282 & 112198374.500362 & -8737092.50036225 \tabularnewline
253 & 113950376 & 112581918.477812 & 1368457.52218777 \tabularnewline
254 & 100508026 & 102381459.186512 & -1873433.18651158 \tabularnewline
255 & 122489831 & 111930830.746913 & 10559000.2530874 \tabularnewline
256 & 109152942 & 109509999.879634 & -357057.879634395 \tabularnewline
257 & 114483340 & 113417193.71184 & 1066146.28816049 \tabularnewline
258 & 113376238 & 107535561.292339 & 5840676.70766118 \tabularnewline
259 & 104237959 & 102363098.008472 & 1874860.99152774 \tabularnewline
260 & 111993653 & 112151517.55081 & -157864.550810069 \tabularnewline
261 & 100383235 & 119330251.333706 & -18947016.3337061 \tabularnewline
262 & 125609531 & 119018000.445634 & 6591530.55436623 \tabularnewline
263 & 123678915 & 114893695.196175 & 8785219.80382527 \tabularnewline
264 & 116020784 & 114102371.352809 & 1918412.64719117 \tabularnewline
265 & 119311840 & 117808936.553603 & 1502903.4463966 \tabularnewline
266 & 107194282 & 107307357.163317 & -113075.163316712 \tabularnewline
267 & 116106381 & 118501519.155037 & -2395138.15503718 \tabularnewline
268 & 108294419 & 112180247.859468 & -3885828.8594677 \tabularnewline
269 & 114413022 & 115472592.969129 & -1059570.96912853 \tabularnewline
270 & 105708801 & 109619399.718953 & -3910598.71895303 \tabularnewline
271 & 109865807 & 101943701.677897 & 7922105.32210258 \tabularnewline
272 & 105811647 & 112827143.620329 & -7015496.62032886 \tabularnewline
273 & 113177922 & 116616440.378396 & -3438518.37839623 \tabularnewline
274 & 123794114 & 122243346.013282 & 1550767.98671818 \tabularnewline
275 & 114665734 & 117257103.49448 & -2591369.49447967 \tabularnewline
276 & 113653969 & 113317254.000405 & 336714.999595031 \tabularnewline
277 & 121876273 & 116640973.25089 & 5235299.74911013 \tabularnewline
278 & 106068149 & 106778456.464588 & -710307.464588061 \tabularnewline
279 & 109814389 & 117611689.909308 & -7797300.90930827 \tabularnewline
280 & 111864093 & 109975553.739742 & 1888539.26025769 \tabularnewline
281 & 113947261 & 114798878.113156 & -851617.11315605 \tabularnewline
282 & 110633362 & 108700186.040656 & 1933175.95934442 \tabularnewline
283 & 92998823 & 103487383.552727 & -10488560.5527274 \tabularnewline
284 & 99652406 & 108886141.742793 & -9233735.74279349 \tabularnewline
285 & 110648420 & 112562031.248153 & -1913611.24815282 \tabularnewline
286 & 110082433 & 119025225.555732 & -8942792.55573153 \tabularnewline
287 & 108071321 & 111357981.409273 & -3286660.40927337 \tabularnewline
288 & 111130903 & 107566551.758801 & 3564351.24119891 \tabularnewline
289 & 117728231 & 112083925.054027 & 5644305.9459727 \tabularnewline
290 & 106115490 & 101704127.995765 & 4411362.00423494 \tabularnewline
291 & 119024399 & 112918516.285337 & 6105882.71466331 \tabularnewline
292 & 108075574 & 109261899.178922 & -1186325.17892168 \tabularnewline
293 & 101916014 & 113144217.477734 & -11228203.4777345 \tabularnewline
294 & 114749451 & 105094959.799821 & 9654491.20017911 \tabularnewline
295 & 98085802 & 100279873.554087 & -2194071.55408688 \tabularnewline
296 & 106786637 & 107592204.32063 & -805567.320630431 \tabularnewline
297 & 103410120 & 113827973.896667 & -10417853.8966674 \tabularnewline
298 & 108992471 & 117744531.033302 & -8752060.03330216 \tabularnewline
299 & 117580573 & 110694219.434448 & 6886353.56555237 \tabularnewline
300 & 137422549 & 109790575.787706 & 27631973.2122941 \tabularnewline
301 & 106333038 & 119701508.288458 & -13368470.2884578 \tabularnewline
302 & 106432332 & 105102704.094936 & 1329627.9050636 \tabularnewline
303 & 110471851 & 115826114.871875 & -5354263.87187496 \tabularnewline
304 & 106533247 & 108959670.804023 & -2426423.80402307 \tabularnewline
305 & 108054294 & 111552600.751267 & -3498306.75126721 \tabularnewline
306 & 105482116 & 107293729.70869 & -1811613.70869033 \tabularnewline
307 & 93709189 & 98803637.6820479 & -5094448.68204793 \tabularnewline
308 & 109131113 & 105632880.902957 & 3498232.09704292 \tabularnewline
309 & 108603575 & 111816609.178058 & -3213034.17805755 \tabularnewline
310 & 108377401 & 117453973.539419 & -9076572.53941917 \tabularnewline
311 & 113640986 & 111925987.151141 & 1714998.84885861 \tabularnewline
312 & 113462687 & 112021116.546305 & 1441570.45369457 \tabularnewline
313 & 109111012 & 112118841.905903 & -3007829.90590335 \tabularnewline
314 & 99183342 & 101247155.069579 & -2063813.0695795 \tabularnewline
315 & 110833333 & 110559446.413042 & 273886.586958125 \tabularnewline
316 & 101184109 & 105202843.123309 & -4018734.12330884 \tabularnewline
317 & 117051206 & 107343814.841798 & 9707391.15820169 \tabularnewline
318 & 114021001 & 106099876.344697 & 7921124.65530281 \tabularnewline
319 & 93696965 & 99371021.422384 & -5674056.42238402 \tabularnewline
320 & 103464664 & 106950320.563358 & -3485656.56335784 \tabularnewline
321 & 108671675 & 110947113.890321 & -2275438.89032078 \tabularnewline
322 & 105845010 & 116189359.627276 & -10344349.6272762 \tabularnewline
323 & 110352377 & 111487140.896821 & -1134763.89682062 \tabularnewline
324 & 107996666 & 110940873.810467 & -2944207.81046726 \tabularnewline
325 & 119381356 & 109641328.312417 & 9740027.68758327 \tabularnewline
326 & 103249698 & 101610386.293319 & 1639311.7066807 \tabularnewline
327 & 117017433 & 111957973.735044 & 5059459.26495601 \tabularnewline
328 & 111095171 & 107194666.543481 & 3900504.45651856 \tabularnewline
329 & 112391974 & 112438158.936589 & -46184.9365888089 \tabularnewline
330 & 109513260 & 108912396.706432 & 600863.293568298 \tabularnewline
331 & 103082589 & 99223313.5641342 & 3859275.43586582 \tabularnewline
332 & 114362587 & 109077959.932418 & 5284627.06758162 \tabularnewline
333 & 106929743 & 115086223.50456 & -8156480.50455958 \tabularnewline
334 & 121483225 & 118240753.009322 & 3242471.9906776 \tabularnewline
335 & 117608611 & 117401451.282116 & 207159.717883602 \tabularnewline
336 & 104439801 & 116959877.392706 & -12520076.3927065 \tabularnewline
337 & 145250611 & 114890053.50932 & 30360557.49068 \tabularnewline
338 & 133552134 & 110473982.666732 & 23078151.3332679 \tabularnewline
339 & 130927906 & 125785597.782472 & 5142308.21752761 \tabularnewline
340 & 135472018 & 120922131.465035 & 14549886.5349652 \tabularnewline
341 & 140971640 & 128056626.658439 & 12915013.3415609 \tabularnewline
342 & 139502183 & 127387306.541518 & 12114876.458482 \tabularnewline
343 & 136341605 & 120508955.217187 & 15832649.7828133 \tabularnewline
344 & 121440745 & 133086605.19181 & -11645860.1918098 \tabularnewline
345 & 145208563 & 134081232.073493 & 11127330.9265067 \tabularnewline
346 & 154299558 & 142548154.415064 & 11751403.5849361 \tabularnewline
347 & 133159384 & 143231803.492955 & -10072419.4929546 \tabularnewline
348 & 149002813 & 139281224.136971 & 9721588.86302859 \tabularnewline
349 & 142098473 & 146365866.409322 & -4267393.40932181 \tabularnewline
350 & 129893855 & 133752905.699969 & -3859050.69996934 \tabularnewline
351 & 145444831 & 141438802.023089 & 4006028.97691089 \tabularnewline
352 & 141821958 & 137288506.600976 & 4533451.39902395 \tabularnewline
353 & 132856599 & 142099997.941378 & -9243398.94137788 \tabularnewline
354 & 144575294 & 136578476.192924 & 7996817.8070758 \tabularnewline
355 & 132377086 & 129192018.563999 & 3185067.43600126 \tabularnewline
356 & 139631892 & 136248957.781409 & 3382934.21859136 \tabularnewline
357 & 143836436 & 142797911.276327 & 1038524.72367251 \tabularnewline
358 & 150120462 & 149156238.140595 & 964223.859404922 \tabularnewline
359 & 146476407 & 145295444.184028 & 1180962.815972 \tabularnewline
360 & 150959969 & 145783020.485168 & 5176948.51483184 \tabularnewline
361 & 139843831 & 150464935.578982 & -10621104.5789823 \tabularnewline
362 & 135067495 & 136525586.500453 & -1458091.50045255 \tabularnewline
363 & 162217974 & 145529179.773929 & 16688794.2260709 \tabularnewline
364 & 148754317 & 144163199.984507 & 4591117.01549312 \tabularnewline
365 & 142087889 & 147584444.873025 & -5496555.87302485 \tabularnewline
366 & 151878396 & 144624901.239003 & 7253494.76099715 \tabularnewline
367 & 137232674 & 136588506.555246 & 644167.444753557 \tabularnewline
368 & 152539908 & 143118531.83454 & 9421376.16546026 \tabularnewline
369 & 157730636 & 150728879.097541 & 7001756.90245882 \tabularnewline
370 & 155919549 & 158363533.444808 & -2443984.44480827 \tabularnewline
371 & 158345832 & 153791014.282596 & 4554817.71740368 \tabularnewline
372 & 155293830 & 155411829.428717 & -117999.428716511 \tabularnewline
373 & 148211057 & 157345288.204769 & -9134231.20476907 \tabularnewline
374 & 145367208 & 144658978.557049 & 708229.442950606 \tabularnewline
375 & 159322145 & 155976571.96301 & 3345573.03698969 \tabularnewline
376 & 141394808 & 150506077.537124 & -9111269.53712365 \tabularnewline
377 & 152501604 & 149950123.474985 & 2551480.52501512 \tabularnewline
378 & 144788279 & 150021453.815973 & -5233174.81597275 \tabularnewline
379 & 132665186 & 138623746.421632 & -5958560.42163247 \tabularnewline
380 & 153447911 & 144625828.723963 & 8822082.27603665 \tabularnewline
381 & 154073968 & 151860798.565715 & 2213169.43428475 \tabularnewline
382 & 151218659 & 157502764.392125 & -6284105.39212471 \tabularnewline
383 & 152314179 & 152816030.568264 & -501851.56826359 \tabularnewline
384 & 153576457 & 152872384.351548 & 704072.648452371 \tabularnewline
385 & 146956048 & 154064867.138669 & -7108819.13866925 \tabularnewline
386 & 142730585 & 142816721.629003 & -86136.6290030181 \tabularnewline
387 & 154013861 & 154231802.665695 & -217941.665694863 \tabularnewline
388 & 146390069 & 146725810.473366 & -335741.473365754 \tabularnewline
389 & 150867957 & 149246659.073114 & 1621297.92688578 \tabularnewline
390 & 147479833 & 148325140.974203 & -845307.974202663 \tabularnewline
391 & 144721295 & 137798293.824362 & 6923001.17563817 \tabularnewline
392 & 151670553 & 148078655.467005 & 3591897.53299475 \tabularnewline
393 & 138026642 & 153514686.186447 & -15488044.1864468 \tabularnewline
394 & 163964340 & 154480423.108426 & 9483916.89157391 \tabularnewline
395 & 154950637 & 153777275.045358 & 1173361.9546423 \tabularnewline
396 & 145384844 & 154317083.372396 & -8932239.37239635 \tabularnewline
397 & 157311208 & 152639400.97543 & 4671807.02457026 \tabularnewline
398 & 137243260 & 144642640.953077 & -7399380.95307708 \tabularnewline
399 & 151682424 & 154469750.741131 & -2787326.74113056 \tabularnewline
400 & 151261896 & 146398572.781442 & 4863323.21855816 \tabularnewline
401 & 152246280 & 150238039.298797 & 2008240.70120251 \tabularnewline
402 & 138405427 & 149148698.070467 & -10743271.0704669 \tabularnewline
403 & 146314866 & 137281720.110974 & 9033145.88902575 \tabularnewline
404 & 138362743 & 147677249.349275 & -9314506.34927484 \tabularnewline
405 & 145963411 & 148391927.781573 & -2428516.78157282 \tabularnewline
406 & 162261490 & 154711868.643512 & 7549621.35648751 \tabularnewline
407 & 143566427 & 152746141.817575 & -9179714.81757513 \tabularnewline
408 & 149031577 & 150028036.952316 & -996459.952316165 \tabularnewline
409 & 157251394 & 151444007.283302 & 5807386.71669826 \tabularnewline
410 & 139046214 & 142462735.76273 & -3416521.76273015 \tabularnewline
411 & 150614308 & 153616927.635711 & -3002619.63571101 \tabularnewline
412 & 152250128 & 146278332.146687 & 5971795.85331276 \tabularnewline
413 & 148828360 & 150065769.973279 & -1237409.97327921 \tabularnewline
414 & 146906898 & 146979366.406971 & -72468.4069705009 \tabularnewline
415 & 144665280 & 139423322.855487 & 5241957.14451274 \tabularnewline
416 & 141160729 & 147134575.00547 & -5973846.00546989 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257347&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]82232191[/C][C]80910015.6025641[/C][C]1322175.39743587[/C][/ROW]
[ROW][C]14[/C][C]73793707[/C][C]72638240.0070911[/C][C]1155466.9929089[/C][/ROW]
[ROW][C]15[/C][C]83330888[/C][C]82600522.316018[/C][C]730365.683982015[/C][/ROW]
[ROW][C]16[/C][C]80273232[/C][C]80235775.5903212[/C][C]37456.4096787572[/C][/ROW]
[ROW][C]17[/C][C]78455007[/C][C]78478209.1901089[/C][C]-23202.1901088655[/C][/ROW]
[ROW][C]18[/C][C]85915620[/C][C]85814837.9080592[/C][C]100782.09194082[/C][/ROW]
[ROW][C]19[/C][C]71714127[/C][C]70306275.7829581[/C][C]1407851.21704185[/C][/ROW]
[ROW][C]20[/C][C]82970010[/C][C]81785073.8535972[/C][C]1184936.14640278[/C][/ROW]
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[ROW][C]26[/C][C]72386130[/C][C]72417544.8677199[/C][C]-31414.8677198738[/C][/ROW]
[ROW][C]27[/C][C]89935108[/C][C]82081009.0195521[/C][C]7854098.98044789[/C][/ROW]
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[ROW][C]37[/C][C]78920113[/C][C]78722519.7346654[/C][C]197593.265334591[/C][/ROW]
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[ROW][C]62[/C][C]78402313[/C][C]79274867.647389[/C][C]-872554.647389039[/C][/ROW]
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[ROW][C]64[/C][C]100766400[/C][C]80644919.1533797[/C][C]20121480.8466203[/C][/ROW]
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[ROW][C]187[/C][C]102244687[/C][C]101665240.442439[/C][C]579446.557561278[/C][/ROW]
[ROW][C]188[/C][C]116917776[/C][C]117032960.80441[/C][C]-115184.804409876[/C][/ROW]
[ROW][C]189[/C][C]116845594[/C][C]120541402.312123[/C][C]-3695808.31212261[/C][/ROW]
[ROW][C]190[/C][C]126056370[/C][C]123939930.290562[/C][C]2116439.70943782[/C][/ROW]
[ROW][C]191[/C][C]123222229[/C][C]118958921.324185[/C][C]4263307.67581524[/C][/ROW]
[ROW][C]192[/C][C]113535952[/C][C]116259286.741657[/C][C]-2723334.74165662[/C][/ROW]
[ROW][C]193[/C][C]127069232[/C][C]117765242.094967[/C][C]9303989.90503259[/C][/ROW]
[ROW][C]194[/C][C]113661882[/C][C]109660123.148352[/C][C]4001758.85164848[/C][/ROW]
[ROW][C]195[/C][C]114591291[/C][C]122284006.416783[/C][C]-7692715.41678293[/C][/ROW]
[ROW][C]196[/C][C]115882665[/C][C]115828731.402568[/C][C]53933.5974319577[/C][/ROW]
[ROW][C]197[/C][C]120213953[/C][C]118954383.178203[/C][C]1259569.82179722[/C][/ROW]
[ROW][C]198[/C][C]111625246[/C][C]118331812.923324[/C][C]-6706566.92332371[/C][/ROW]
[ROW][C]199[/C][C]111767767[/C][C]103361916.378589[/C][C]8405850.62141135[/C][/ROW]
[ROW][C]200[/C][C]114581076[/C][C]120343950.065165[/C][C]-5762874.06516495[/C][/ROW]
[ROW][C]201[/C][C]117165225[/C][C]122271882.24767[/C][C]-5106657.24767041[/C][/ROW]
[ROW][C]202[/C][C]131128808[/C][C]125958414.653198[/C][C]5170393.34680206[/C][/ROW]
[ROW][C]203[/C][C]118888095[/C][C]121853505.186343[/C][C]-2965410.18634288[/C][/ROW]
[ROW][C]204[/C][C]118341797[/C][C]116886186.723521[/C][C]1455610.27647898[/C][/ROW]
[ROW][C]205[/C][C]121752472[/C][C]120516412.363235[/C][C]1236059.63676512[/C][/ROW]
[ROW][C]206[/C][C]105623851[/C][C]110134420.835328[/C][C]-4510569.83532815[/C][/ROW]
[ROW][C]207[/C][C]110367809[/C][C]119734938.702416[/C][C]-9367129.70241569[/C][/ROW]
[ROW][C]208[/C][C]119748744[/C][C]113707869.219529[/C][C]6040874.78047113[/C][/ROW]
[ROW][C]209[/C][C]112196045[/C][C]118245267.246289[/C][C]-6049222.24628916[/C][/ROW]
[ROW][C]210[/C][C]113988891[/C][C]115238047.803212[/C][C]-1249156.80321188[/C][/ROW]
[ROW][C]211[/C][C]106784054[/C][C]102981779.325215[/C][C]3802274.67478514[/C][/ROW]
[ROW][C]212[/C][C]108336473[/C][C]117530096.808443[/C][C]-9193623.80844346[/C][/ROW]
[ROW][C]213[/C][C]117757116[/C][C]118786195.124529[/C][C]-1029079.12452872[/C][/ROW]
[ROW][C]214[/C][C]122401037[/C][C]124396972.795847[/C][C]-1995935.79584679[/C][/ROW]
[ROW][C]215[/C][C]105198539[/C][C]117920812.330741[/C][C]-12722273.3307411[/C][/ROW]
[ROW][C]216[/C][C]114948995[/C][C]111302944.700432[/C][C]3646050.29956827[/C][/ROW]
[ROW][C]217[/C][C]113368696[/C][C]115382422.056551[/C][C]-2013726.05655129[/C][/ROW]
[ROW][C]218[/C][C]101813941[/C][C]103715665.730686[/C][C]-1901724.73068602[/C][/ROW]
[ROW][C]219[/C][C]115729272[/C][C]113383410.872367[/C][C]2345861.12763336[/C][/ROW]
[ROW][C]220[/C][C]116357873[/C][C]111446899.361871[/C][C]4910973.63812937[/C][/ROW]
[ROW][C]221[/C][C]110471118[/C][C]114510099.49455[/C][C]-4038981.49455033[/C][/ROW]
[ROW][C]222[/C][C]117406273[/C][C]112424396.592844[/C][C]4981876.40715587[/C][/ROW]
[ROW][C]223[/C][C]103990740[/C][C]102023979.528741[/C][C]1966760.47125916[/C][/ROW]
[ROW][C]224[/C][C]109876750[/C][C]114853957.304258[/C][C]-4977207.30425794[/C][/ROW]
[ROW][C]225[/C][C]123023201[/C][C]117849112.500819[/C][C]5174088.49918076[/C][/ROW]
[ROW][C]226[/C][C]121017972[/C][C]124697002.343378[/C][C]-3679030.34337814[/C][/ROW]
[ROW][C]227[/C][C]120740486[/C][C]116766389.059434[/C][C]3974096.94056644[/C][/ROW]
[ROW][C]228[/C][C]122375786[/C][C]115409780.940113[/C][C]6966005.05988714[/C][/ROW]
[ROW][C]229[/C][C]119484644[/C][C]119627810.629836[/C][C]-143166.629835784[/C][/ROW]
[ROW][C]230[/C][C]110212022[/C][C]108375191.565808[/C][C]1836830.43419197[/C][/ROW]
[ROW][C]231[/C][C]119951911[/C][C]119280312.189534[/C][C]671598.810465947[/C][/ROW]
[ROW][C]232[/C][C]111030124[/C][C]117244491.350229[/C][C]-6214367.35022938[/C][/ROW]
[ROW][C]233[/C][C]116189643[/C][C]117001168.480929[/C][C]-811525.48092927[/C][/ROW]
[ROW][C]234[/C][C]62860693[/C][C]116528781.660429[/C][C]-53668088.6604289[/C][/ROW]
[ROW][C]235[/C][C]98989753[/C][C]93193966.7547615[/C][C]5795786.24523851[/C][/ROW]
[ROW][C]236[/C][C]90902407[/C][C]106141353.236834[/C][C]-15238946.2368343[/C][/ROW]
[ROW][C]237[/C][C]116187519[/C][C]107960675.104227[/C][C]8226843.89577295[/C][/ROW]
[ROW][C]238[/C][C]105803511[/C][C]114564465.224393[/C][C]-8760954.22439301[/C][/ROW]
[ROW][C]239[/C][C]111203214[/C][C]106318894.139606[/C][C]4884319.86039387[/C][/ROW]
[ROW][C]240[/C][C]107986276[/C][C]105462873.322617[/C][C]2523402.67738347[/C][/ROW]
[ROW][C]241[/C][C]113178075[/C][C]108000598.644735[/C][C]5177476.35526453[/C][/ROW]
[ROW][C]242[/C][C]108430237[/C][C]98095110.8635587[/C][C]10335126.1364413[/C][/ROW]
[ROW][C]243[/C][C]116741578[/C][C]110711290.819938[/C][C]6030287.18006247[/C][/ROW]
[ROW][C]244[/C][C]97354185[/C][C]109128122.511366[/C][C]-11773937.5113655[/C][/ROW]
[ROW][C]245[/C][C]119440899[/C][C]108237895.701995[/C][C]11203003.2980047[/C][/ROW]
[ROW][C]246[/C][C]111930427[/C][C]104970770.564888[/C][C]6959656.43511193[/C][/ROW]
[ROW][C]247[/C][C]100786808[/C][C]100743387.674122[/C][C]43420.3258781582[/C][/ROW]
[ROW][C]248[/C][C]108653153[/C][C]110310673.265413[/C][C]-1657520.26541346[/C][/ROW]
[ROW][C]249[/C][C]113068088[/C][C]117443216.842847[/C][C]-4375128.84284715[/C][/ROW]
[ROW][C]250[/C][C]121751895[/C][C]119604206.465987[/C][C]2147688.53401303[/C][/ROW]
[ROW][C]251[/C][C]111612227[/C][C]115096547.279587[/C][C]-3484320.27958703[/C][/ROW]
[ROW][C]252[/C][C]103461282[/C][C]112198374.500362[/C][C]-8737092.50036225[/C][/ROW]
[ROW][C]253[/C][C]113950376[/C][C]112581918.477812[/C][C]1368457.52218777[/C][/ROW]
[ROW][C]254[/C][C]100508026[/C][C]102381459.186512[/C][C]-1873433.18651158[/C][/ROW]
[ROW][C]255[/C][C]122489831[/C][C]111930830.746913[/C][C]10559000.2530874[/C][/ROW]
[ROW][C]256[/C][C]109152942[/C][C]109509999.879634[/C][C]-357057.879634395[/C][/ROW]
[ROW][C]257[/C][C]114483340[/C][C]113417193.71184[/C][C]1066146.28816049[/C][/ROW]
[ROW][C]258[/C][C]113376238[/C][C]107535561.292339[/C][C]5840676.70766118[/C][/ROW]
[ROW][C]259[/C][C]104237959[/C][C]102363098.008472[/C][C]1874860.99152774[/C][/ROW]
[ROW][C]260[/C][C]111993653[/C][C]112151517.55081[/C][C]-157864.550810069[/C][/ROW]
[ROW][C]261[/C][C]100383235[/C][C]119330251.333706[/C][C]-18947016.3337061[/C][/ROW]
[ROW][C]262[/C][C]125609531[/C][C]119018000.445634[/C][C]6591530.55436623[/C][/ROW]
[ROW][C]263[/C][C]123678915[/C][C]114893695.196175[/C][C]8785219.80382527[/C][/ROW]
[ROW][C]264[/C][C]116020784[/C][C]114102371.352809[/C][C]1918412.64719117[/C][/ROW]
[ROW][C]265[/C][C]119311840[/C][C]117808936.553603[/C][C]1502903.4463966[/C][/ROW]
[ROW][C]266[/C][C]107194282[/C][C]107307357.163317[/C][C]-113075.163316712[/C][/ROW]
[ROW][C]267[/C][C]116106381[/C][C]118501519.155037[/C][C]-2395138.15503718[/C][/ROW]
[ROW][C]268[/C][C]108294419[/C][C]112180247.859468[/C][C]-3885828.8594677[/C][/ROW]
[ROW][C]269[/C][C]114413022[/C][C]115472592.969129[/C][C]-1059570.96912853[/C][/ROW]
[ROW][C]270[/C][C]105708801[/C][C]109619399.718953[/C][C]-3910598.71895303[/C][/ROW]
[ROW][C]271[/C][C]109865807[/C][C]101943701.677897[/C][C]7922105.32210258[/C][/ROW]
[ROW][C]272[/C][C]105811647[/C][C]112827143.620329[/C][C]-7015496.62032886[/C][/ROW]
[ROW][C]273[/C][C]113177922[/C][C]116616440.378396[/C][C]-3438518.37839623[/C][/ROW]
[ROW][C]274[/C][C]123794114[/C][C]122243346.013282[/C][C]1550767.98671818[/C][/ROW]
[ROW][C]275[/C][C]114665734[/C][C]117257103.49448[/C][C]-2591369.49447967[/C][/ROW]
[ROW][C]276[/C][C]113653969[/C][C]113317254.000405[/C][C]336714.999595031[/C][/ROW]
[ROW][C]277[/C][C]121876273[/C][C]116640973.25089[/C][C]5235299.74911013[/C][/ROW]
[ROW][C]278[/C][C]106068149[/C][C]106778456.464588[/C][C]-710307.464588061[/C][/ROW]
[ROW][C]279[/C][C]109814389[/C][C]117611689.909308[/C][C]-7797300.90930827[/C][/ROW]
[ROW][C]280[/C][C]111864093[/C][C]109975553.739742[/C][C]1888539.26025769[/C][/ROW]
[ROW][C]281[/C][C]113947261[/C][C]114798878.113156[/C][C]-851617.11315605[/C][/ROW]
[ROW][C]282[/C][C]110633362[/C][C]108700186.040656[/C][C]1933175.95934442[/C][/ROW]
[ROW][C]283[/C][C]92998823[/C][C]103487383.552727[/C][C]-10488560.5527274[/C][/ROW]
[ROW][C]284[/C][C]99652406[/C][C]108886141.742793[/C][C]-9233735.74279349[/C][/ROW]
[ROW][C]285[/C][C]110648420[/C][C]112562031.248153[/C][C]-1913611.24815282[/C][/ROW]
[ROW][C]286[/C][C]110082433[/C][C]119025225.555732[/C][C]-8942792.55573153[/C][/ROW]
[ROW][C]287[/C][C]108071321[/C][C]111357981.409273[/C][C]-3286660.40927337[/C][/ROW]
[ROW][C]288[/C][C]111130903[/C][C]107566551.758801[/C][C]3564351.24119891[/C][/ROW]
[ROW][C]289[/C][C]117728231[/C][C]112083925.054027[/C][C]5644305.9459727[/C][/ROW]
[ROW][C]290[/C][C]106115490[/C][C]101704127.995765[/C][C]4411362.00423494[/C][/ROW]
[ROW][C]291[/C][C]119024399[/C][C]112918516.285337[/C][C]6105882.71466331[/C][/ROW]
[ROW][C]292[/C][C]108075574[/C][C]109261899.178922[/C][C]-1186325.17892168[/C][/ROW]
[ROW][C]293[/C][C]101916014[/C][C]113144217.477734[/C][C]-11228203.4777345[/C][/ROW]
[ROW][C]294[/C][C]114749451[/C][C]105094959.799821[/C][C]9654491.20017911[/C][/ROW]
[ROW][C]295[/C][C]98085802[/C][C]100279873.554087[/C][C]-2194071.55408688[/C][/ROW]
[ROW][C]296[/C][C]106786637[/C][C]107592204.32063[/C][C]-805567.320630431[/C][/ROW]
[ROW][C]297[/C][C]103410120[/C][C]113827973.896667[/C][C]-10417853.8966674[/C][/ROW]
[ROW][C]298[/C][C]108992471[/C][C]117744531.033302[/C][C]-8752060.03330216[/C][/ROW]
[ROW][C]299[/C][C]117580573[/C][C]110694219.434448[/C][C]6886353.56555237[/C][/ROW]
[ROW][C]300[/C][C]137422549[/C][C]109790575.787706[/C][C]27631973.2122941[/C][/ROW]
[ROW][C]301[/C][C]106333038[/C][C]119701508.288458[/C][C]-13368470.2884578[/C][/ROW]
[ROW][C]302[/C][C]106432332[/C][C]105102704.094936[/C][C]1329627.9050636[/C][/ROW]
[ROW][C]303[/C][C]110471851[/C][C]115826114.871875[/C][C]-5354263.87187496[/C][/ROW]
[ROW][C]304[/C][C]106533247[/C][C]108959670.804023[/C][C]-2426423.80402307[/C][/ROW]
[ROW][C]305[/C][C]108054294[/C][C]111552600.751267[/C][C]-3498306.75126721[/C][/ROW]
[ROW][C]306[/C][C]105482116[/C][C]107293729.70869[/C][C]-1811613.70869033[/C][/ROW]
[ROW][C]307[/C][C]93709189[/C][C]98803637.6820479[/C][C]-5094448.68204793[/C][/ROW]
[ROW][C]308[/C][C]109131113[/C][C]105632880.902957[/C][C]3498232.09704292[/C][/ROW]
[ROW][C]309[/C][C]108603575[/C][C]111816609.178058[/C][C]-3213034.17805755[/C][/ROW]
[ROW][C]310[/C][C]108377401[/C][C]117453973.539419[/C][C]-9076572.53941917[/C][/ROW]
[ROW][C]311[/C][C]113640986[/C][C]111925987.151141[/C][C]1714998.84885861[/C][/ROW]
[ROW][C]312[/C][C]113462687[/C][C]112021116.546305[/C][C]1441570.45369457[/C][/ROW]
[ROW][C]313[/C][C]109111012[/C][C]112118841.905903[/C][C]-3007829.90590335[/C][/ROW]
[ROW][C]314[/C][C]99183342[/C][C]101247155.069579[/C][C]-2063813.0695795[/C][/ROW]
[ROW][C]315[/C][C]110833333[/C][C]110559446.413042[/C][C]273886.586958125[/C][/ROW]
[ROW][C]316[/C][C]101184109[/C][C]105202843.123309[/C][C]-4018734.12330884[/C][/ROW]
[ROW][C]317[/C][C]117051206[/C][C]107343814.841798[/C][C]9707391.15820169[/C][/ROW]
[ROW][C]318[/C][C]114021001[/C][C]106099876.344697[/C][C]7921124.65530281[/C][/ROW]
[ROW][C]319[/C][C]93696965[/C][C]99371021.422384[/C][C]-5674056.42238402[/C][/ROW]
[ROW][C]320[/C][C]103464664[/C][C]106950320.563358[/C][C]-3485656.56335784[/C][/ROW]
[ROW][C]321[/C][C]108671675[/C][C]110947113.890321[/C][C]-2275438.89032078[/C][/ROW]
[ROW][C]322[/C][C]105845010[/C][C]116189359.627276[/C][C]-10344349.6272762[/C][/ROW]
[ROW][C]323[/C][C]110352377[/C][C]111487140.896821[/C][C]-1134763.89682062[/C][/ROW]
[ROW][C]324[/C][C]107996666[/C][C]110940873.810467[/C][C]-2944207.81046726[/C][/ROW]
[ROW][C]325[/C][C]119381356[/C][C]109641328.312417[/C][C]9740027.68758327[/C][/ROW]
[ROW][C]326[/C][C]103249698[/C][C]101610386.293319[/C][C]1639311.7066807[/C][/ROW]
[ROW][C]327[/C][C]117017433[/C][C]111957973.735044[/C][C]5059459.26495601[/C][/ROW]
[ROW][C]328[/C][C]111095171[/C][C]107194666.543481[/C][C]3900504.45651856[/C][/ROW]
[ROW][C]329[/C][C]112391974[/C][C]112438158.936589[/C][C]-46184.9365888089[/C][/ROW]
[ROW][C]330[/C][C]109513260[/C][C]108912396.706432[/C][C]600863.293568298[/C][/ROW]
[ROW][C]331[/C][C]103082589[/C][C]99223313.5641342[/C][C]3859275.43586582[/C][/ROW]
[ROW][C]332[/C][C]114362587[/C][C]109077959.932418[/C][C]5284627.06758162[/C][/ROW]
[ROW][C]333[/C][C]106929743[/C][C]115086223.50456[/C][C]-8156480.50455958[/C][/ROW]
[ROW][C]334[/C][C]121483225[/C][C]118240753.009322[/C][C]3242471.9906776[/C][/ROW]
[ROW][C]335[/C][C]117608611[/C][C]117401451.282116[/C][C]207159.717883602[/C][/ROW]
[ROW][C]336[/C][C]104439801[/C][C]116959877.392706[/C][C]-12520076.3927065[/C][/ROW]
[ROW][C]337[/C][C]145250611[/C][C]114890053.50932[/C][C]30360557.49068[/C][/ROW]
[ROW][C]338[/C][C]133552134[/C][C]110473982.666732[/C][C]23078151.3332679[/C][/ROW]
[ROW][C]339[/C][C]130927906[/C][C]125785597.782472[/C][C]5142308.21752761[/C][/ROW]
[ROW][C]340[/C][C]135472018[/C][C]120922131.465035[/C][C]14549886.5349652[/C][/ROW]
[ROW][C]341[/C][C]140971640[/C][C]128056626.658439[/C][C]12915013.3415609[/C][/ROW]
[ROW][C]342[/C][C]139502183[/C][C]127387306.541518[/C][C]12114876.458482[/C][/ROW]
[ROW][C]343[/C][C]136341605[/C][C]120508955.217187[/C][C]15832649.7828133[/C][/ROW]
[ROW][C]344[/C][C]121440745[/C][C]133086605.19181[/C][C]-11645860.1918098[/C][/ROW]
[ROW][C]345[/C][C]145208563[/C][C]134081232.073493[/C][C]11127330.9265067[/C][/ROW]
[ROW][C]346[/C][C]154299558[/C][C]142548154.415064[/C][C]11751403.5849361[/C][/ROW]
[ROW][C]347[/C][C]133159384[/C][C]143231803.492955[/C][C]-10072419.4929546[/C][/ROW]
[ROW][C]348[/C][C]149002813[/C][C]139281224.136971[/C][C]9721588.86302859[/C][/ROW]
[ROW][C]349[/C][C]142098473[/C][C]146365866.409322[/C][C]-4267393.40932181[/C][/ROW]
[ROW][C]350[/C][C]129893855[/C][C]133752905.699969[/C][C]-3859050.69996934[/C][/ROW]
[ROW][C]351[/C][C]145444831[/C][C]141438802.023089[/C][C]4006028.97691089[/C][/ROW]
[ROW][C]352[/C][C]141821958[/C][C]137288506.600976[/C][C]4533451.39902395[/C][/ROW]
[ROW][C]353[/C][C]132856599[/C][C]142099997.941378[/C][C]-9243398.94137788[/C][/ROW]
[ROW][C]354[/C][C]144575294[/C][C]136578476.192924[/C][C]7996817.8070758[/C][/ROW]
[ROW][C]355[/C][C]132377086[/C][C]129192018.563999[/C][C]3185067.43600126[/C][/ROW]
[ROW][C]356[/C][C]139631892[/C][C]136248957.781409[/C][C]3382934.21859136[/C][/ROW]
[ROW][C]357[/C][C]143836436[/C][C]142797911.276327[/C][C]1038524.72367251[/C][/ROW]
[ROW][C]358[/C][C]150120462[/C][C]149156238.140595[/C][C]964223.859404922[/C][/ROW]
[ROW][C]359[/C][C]146476407[/C][C]145295444.184028[/C][C]1180962.815972[/C][/ROW]
[ROW][C]360[/C][C]150959969[/C][C]145783020.485168[/C][C]5176948.51483184[/C][/ROW]
[ROW][C]361[/C][C]139843831[/C][C]150464935.578982[/C][C]-10621104.5789823[/C][/ROW]
[ROW][C]362[/C][C]135067495[/C][C]136525586.500453[/C][C]-1458091.50045255[/C][/ROW]
[ROW][C]363[/C][C]162217974[/C][C]145529179.773929[/C][C]16688794.2260709[/C][/ROW]
[ROW][C]364[/C][C]148754317[/C][C]144163199.984507[/C][C]4591117.01549312[/C][/ROW]
[ROW][C]365[/C][C]142087889[/C][C]147584444.873025[/C][C]-5496555.87302485[/C][/ROW]
[ROW][C]366[/C][C]151878396[/C][C]144624901.239003[/C][C]7253494.76099715[/C][/ROW]
[ROW][C]367[/C][C]137232674[/C][C]136588506.555246[/C][C]644167.444753557[/C][/ROW]
[ROW][C]368[/C][C]152539908[/C][C]143118531.83454[/C][C]9421376.16546026[/C][/ROW]
[ROW][C]369[/C][C]157730636[/C][C]150728879.097541[/C][C]7001756.90245882[/C][/ROW]
[ROW][C]370[/C][C]155919549[/C][C]158363533.444808[/C][C]-2443984.44480827[/C][/ROW]
[ROW][C]371[/C][C]158345832[/C][C]153791014.282596[/C][C]4554817.71740368[/C][/ROW]
[ROW][C]372[/C][C]155293830[/C][C]155411829.428717[/C][C]-117999.428716511[/C][/ROW]
[ROW][C]373[/C][C]148211057[/C][C]157345288.204769[/C][C]-9134231.20476907[/C][/ROW]
[ROW][C]374[/C][C]145367208[/C][C]144658978.557049[/C][C]708229.442950606[/C][/ROW]
[ROW][C]375[/C][C]159322145[/C][C]155976571.96301[/C][C]3345573.03698969[/C][/ROW]
[ROW][C]376[/C][C]141394808[/C][C]150506077.537124[/C][C]-9111269.53712365[/C][/ROW]
[ROW][C]377[/C][C]152501604[/C][C]149950123.474985[/C][C]2551480.52501512[/C][/ROW]
[ROW][C]378[/C][C]144788279[/C][C]150021453.815973[/C][C]-5233174.81597275[/C][/ROW]
[ROW][C]379[/C][C]132665186[/C][C]138623746.421632[/C][C]-5958560.42163247[/C][/ROW]
[ROW][C]380[/C][C]153447911[/C][C]144625828.723963[/C][C]8822082.27603665[/C][/ROW]
[ROW][C]381[/C][C]154073968[/C][C]151860798.565715[/C][C]2213169.43428475[/C][/ROW]
[ROW][C]382[/C][C]151218659[/C][C]157502764.392125[/C][C]-6284105.39212471[/C][/ROW]
[ROW][C]383[/C][C]152314179[/C][C]152816030.568264[/C][C]-501851.56826359[/C][/ROW]
[ROW][C]384[/C][C]153576457[/C][C]152872384.351548[/C][C]704072.648452371[/C][/ROW]
[ROW][C]385[/C][C]146956048[/C][C]154064867.138669[/C][C]-7108819.13866925[/C][/ROW]
[ROW][C]386[/C][C]142730585[/C][C]142816721.629003[/C][C]-86136.6290030181[/C][/ROW]
[ROW][C]387[/C][C]154013861[/C][C]154231802.665695[/C][C]-217941.665694863[/C][/ROW]
[ROW][C]388[/C][C]146390069[/C][C]146725810.473366[/C][C]-335741.473365754[/C][/ROW]
[ROW][C]389[/C][C]150867957[/C][C]149246659.073114[/C][C]1621297.92688578[/C][/ROW]
[ROW][C]390[/C][C]147479833[/C][C]148325140.974203[/C][C]-845307.974202663[/C][/ROW]
[ROW][C]391[/C][C]144721295[/C][C]137798293.824362[/C][C]6923001.17563817[/C][/ROW]
[ROW][C]392[/C][C]151670553[/C][C]148078655.467005[/C][C]3591897.53299475[/C][/ROW]
[ROW][C]393[/C][C]138026642[/C][C]153514686.186447[/C][C]-15488044.1864468[/C][/ROW]
[ROW][C]394[/C][C]163964340[/C][C]154480423.108426[/C][C]9483916.89157391[/C][/ROW]
[ROW][C]395[/C][C]154950637[/C][C]153777275.045358[/C][C]1173361.9546423[/C][/ROW]
[ROW][C]396[/C][C]145384844[/C][C]154317083.372396[/C][C]-8932239.37239635[/C][/ROW]
[ROW][C]397[/C][C]157311208[/C][C]152639400.97543[/C][C]4671807.02457026[/C][/ROW]
[ROW][C]398[/C][C]137243260[/C][C]144642640.953077[/C][C]-7399380.95307708[/C][/ROW]
[ROW][C]399[/C][C]151682424[/C][C]154469750.741131[/C][C]-2787326.74113056[/C][/ROW]
[ROW][C]400[/C][C]151261896[/C][C]146398572.781442[/C][C]4863323.21855816[/C][/ROW]
[ROW][C]401[/C][C]152246280[/C][C]150238039.298797[/C][C]2008240.70120251[/C][/ROW]
[ROW][C]402[/C][C]138405427[/C][C]149148698.070467[/C][C]-10743271.0704669[/C][/ROW]
[ROW][C]403[/C][C]146314866[/C][C]137281720.110974[/C][C]9033145.88902575[/C][/ROW]
[ROW][C]404[/C][C]138362743[/C][C]147677249.349275[/C][C]-9314506.34927484[/C][/ROW]
[ROW][C]405[/C][C]145963411[/C][C]148391927.781573[/C][C]-2428516.78157282[/C][/ROW]
[ROW][C]406[/C][C]162261490[/C][C]154711868.643512[/C][C]7549621.35648751[/C][/ROW]
[ROW][C]407[/C][C]143566427[/C][C]152746141.817575[/C][C]-9179714.81757513[/C][/ROW]
[ROW][C]408[/C][C]149031577[/C][C]150028036.952316[/C][C]-996459.952316165[/C][/ROW]
[ROW][C]409[/C][C]157251394[/C][C]151444007.283302[/C][C]5807386.71669826[/C][/ROW]
[ROW][C]410[/C][C]139046214[/C][C]142462735.76273[/C][C]-3416521.76273015[/C][/ROW]
[ROW][C]411[/C][C]150614308[/C][C]153616927.635711[/C][C]-3002619.63571101[/C][/ROW]
[ROW][C]412[/C][C]152250128[/C][C]146278332.146687[/C][C]5971795.85331276[/C][/ROW]
[ROW][C]413[/C][C]148828360[/C][C]150065769.973279[/C][C]-1237409.97327921[/C][/ROW]
[ROW][C]414[/C][C]146906898[/C][C]146979366.406971[/C][C]-72468.4069705009[/C][/ROW]
[ROW][C]415[/C][C]144665280[/C][C]139423322.855487[/C][C]5241957.14451274[/C][/ROW]
[ROW][C]416[/C][C]141160729[/C][C]147134575.00547[/C][C]-5973846.00546989[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257347&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257347&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
t	Observed	Fitted	Residuals
13	82232191	80910015.6025641	1322175.39743587
14	73793707	72638240.0070911	1155466.9929089
15	83330888	82600522.316018	730365.683982015
16	80273232	80235775.5903212	37456.4096787572
17	78455007	78478209.1901089	-23202.1901088655
18	85915620	85814837.9080592	100782.09194082
19	71714127	70306275.7829581	1407851.21704185
20	82970010	81785073.8535972	1184936.14640278
21	85869128	91665586.2043799	-5796458.20437986
22	84719654	90898678.1586403	-6179024.1586403
23	83353603	74956287.8749534	8397315.12504658
24	81381682	83970775.6457994	-2589093.64579937
25	75529872	82489343.8351411	-6959471.83514114
26	72386130	72417544.8677199	-31414.8677198738
27	89935108	82081009.0195521	7854098.98044789
28	78972186	81179464.9449368	-2207278.94493678
29	75626681	78932428.0344329	-3305747.03443292
30	83354870	85574943.4382185	-2220073.43821852
31	65132748	69699774.4328672	-4567026.43286717
32	80567672	79869477.2995104	698194.700489596
33	79375763	88934397.0947413	-9558634.09474126
34	80398901	87318537.1161682	-6919636.1161682
35	81954175	72700752.3141242	9253422.68587585
36	77578398	80781002.4280281	-3202604.42802812
37	78920113	78722519.7346654	197593.265334591
38	70529983	70897012.948984	-367029.948983967
39	82747062	81291066.2236346	1455995.77636538
40	79554742	77987622.8432555	1567119.15674447
41	86072787	76441380.8620507	9631406.13794932
42	84762497	85979819.1817136	-1217322.18171355
43	65868424	70081593.6959745	-4213169.69597447
44	90750552	80863550.1748709	9887001.82512906
45	85178167	90862554.9456952	-5684387.94569524
46	87635837	90349509.8122023	-2713672.81220233
47	87357365	78283901.8455221	9073463.15447786
48	79822467	85057221.4040086	-5234754.40400861
49	87606441	82907398.1615953	4699042.83840466
50	80629057	75993573.8374322	4635483.16256776
51	88612885	87650282.8688388	962602.131161153
52	82586339	84251924.9433014	-1665585.94330142
53	92330583	82830725.9519508	9499857.04804921
54	85072223	91236300.403392	-6164077.40339197
55	78397099	73968015.4527692	4429083.54723075
56	88880060	88046241.4356487	833818.564351305
57	82469075	94510713.8040695	-12041638.8040695
58	97774023	92931400.9276934	4842622.0723066
59	89695556	83692757.1021968	6002798.89780316
60	82104989	88348196.3174188	-6243207.31741878
61	87987677	86992641.0657502	995035.934249833
62	78402313	79274867.647389	-872554.647389039
63	66828316	89371741.4955802	-22543425.4955802
64	100766400	80644919.1533797	20121480.8466203
65	94924426	85051293.1036315	9873132.89636849
66	86000262	91942442.8070524	-5942180.80705239
67	84754766	75800453.5990089	8954312.40099113
68	82220707	90486923.1407578	-8266216.14075783
69	87435094	93681256.788168	-6246162.78816804
70	92172811	95068754.6591054	-2895943.65910545
71	87038796	84282107.7880907	2756688.21190928
72	85780891	86991852.6422406	-1210961.64224058
73	92350653	87456693.9463245	4893959.05367553
74	78105109	80388219.229633	-2283110.22963303
75	83999587	87975022.9271303	-3975435.92713027
76	95697029	87589755.3390224	8107273.66097765
77	83789666	88366038.9264258	-4576372.92642581
78	92656650	90535985.7730172	2120664.22698283
79	81770549	77646594.536365	4123954.463635
80	84453056	89539808.2033012	-5086752.20330118
81	94885157	93624352.5228916	1260804.47710842
82	90493287	96969206.7358277	-6475919.73582767
83	83992742	85987297.1749346	-1994555.17493455
84	90446068	87270134.4624813	3175933.53751868
85	91885654	89301040.5268063	2584613.47319375
86	81719573	81004641.7768279	714931.223172113
87	100659035	89064627.3232684	11594407.6767316
88	93673580	93261745.4108051	411834.589194909
89	90781175	91089830.5160677	-308655.516067728
90	98332445	94860468.1119376	3471976.88806237
91	81673087	82465977.3042822	-792890.304282218
92	86056949	92362818.0503378	-6305869.05033784
93	93726596	96831148.3454441	-3104552.34544405
94	93600895	98448436.2872629	-4847541.2872629
95	91509248	88273379.8960544	3235868.1039456
96	90466629	91208757.441795	-742128.441795036
97	88731159	92335895.2048399	-3604736.20483986
98	91396246	82516562.8773433	8879683.1226567
99	99452506	93442102.7124335	6010403.28756648
100	93141035	95298445.9134693	-2157410.91346934
101	100185575	92500013.6172192	7685561.38278084
102	93520390	98376734.7368248	-4856344.73682477
103	72903178	83754925.8099804	-10851747.8099804
104	96366001	90924787.6938984	5441213.30610161
105	94009559	98248216.8760681	-4238657.87606812
106	95659904	99443871.4353712	-3783967.43537119
107	98553859	90320799.8433455	8233059.15665452
108	86889500	93927068.0390343	-7037568.03903428
109	96217656	93407338.2282363	2810317.77176373
110	84024179	86240251.7538654	-2216072.75386536
111	97506427	94484729.8661743	3021697.13382566
112	93600599	94866011.0724676	-1265412.0724676
113	97172016	93261769.5454627	3910246.45453726
114	85193743	97048731.4406876	-11854988.4406876
115	79681809	80309694.9370763	-627885.937076285
116	97603842	91339603.290847	6264238.70915304
117	94115898	97854694.6428514	-3738796.64285138
118	101897898	99204263.4091721	2693634.59082787
119	101096935	92699317.7144939	8397617.28550607
120	88363086	94786267.72033	-6423181.72033004
121	93461481	95401458.5717956	-1939977.57179561
122	79874429	86699875.1221195	-6825446.12211955
123	91522023	94485221.5327181	-2963198.53271806
124	68364449	93141462.998847	-24777013.998847
125	95279387	87002089.6381264	8277297.36187357
126	75637127	90124178.4736717	-14487051.4736717
127	51406114	73961519.6582238	-22555405.6582238
128	102711576	80972109.8045021	21739466.1954979
129	99170564	89800600.7386369	9369963.26136309
130	123678734	94627408.8236985	29051325.1763015
131	112450308	94378050.351728	18072257.648272
132	100044979	97039014.586917	3005964.413083
133	114960402	100140762.154549	14819639.8454509
134	97267524	94550143.8796572	2717380.12034278
135	108270657	104783301.067207	3487355.93279265
136	113990710	102607426.815895	11383283.1841046
137	111470505	107618773.63673	3851731.36326963
138	99849396	107470326.106213	-7620930.10621341
139	99317877	91964489.8388678	7353387.16113217
140	99450766	109924277.244197	-10473511.244197
141	105901465	110557893.102876	-4656428.10287648
142	120431535	114368617.154954	6062917.84504578
143	105369124	108052010.871375	-2682886.87137535
144	101588471	104710419.363276	-3121948.36327583
145	107454084	107695603.980484	-241519.980483919
146	93587376	97630129.9053316	-4042753.90533164
147	108581261	106486214.248644	2095046.7513558
148	105406398	104814481.613794	591916.386206254
149	99039535	106735622.388008	-7696087.38800769
150	110254414	102932847.594623	7321566.40537687
151	97664734	92168731.4344988	5496002.56550124
152	102827246	107913611.994444	-5086365.99444371
153	114877579	110299342.266058	4578236.73394249
154	116270261	117189671.005705	-919410.005705103
155	123123253	108479323.433485	14643929.5665149
156	115939949	108823517.719836	7116431.28016359
157	107718988	114306304.817795	-6587316.8177951
158	103538503	102487556.874451	1050946.12554888
159	114704716	113065229.662614	1639486.33738638
160	110339451	111142376.07524	-802925.075239986
161	109689838	111919379.307936	-2229541.3079363
162	121345420	110822551.388101	10522868.6118986
163	100845326	100561814.03311	283511.966889977
164	117989417	114107015.748874	3882401.25112639
165	119687162	119407716.051403	279445.948596865
166	120750832	124812777.39106	-4061945.39106032
167	116853196	117010387.231565	-157191.231565416
168	116429733	113401482.49857	3028250.50143
169	115645048	116608859.341367	-963811.341366813
170	105332446	106778534.21013	-1446088.21012987
171	117169586	116878513.016514	291072.983485982
172	108354026	114416674.997453	-6062648.99745318
173	115519240	113916004.24876	1603235.75124006
174	112673412	114942739.246317	-2269327.24631739
175	93813113	100885324.904621	-7072211.90462136
176	119816990	113213242.50458	6603747.49541999
177	119789882	118733024.929174	1056857.07082637
178	117960042	123863454.065208	-5903412.06520806
179	120900115	116062148.128015	4837966.87198482
180	115088420	113853027.217426	1235392.78257391
181	116946902	116267955.631385	678946.368614823
182	103135227	106742216.508772	-3606989.50877199
183	124478853	116553815.753321	7925037.24667929
184	107027306	115088689.721009	-8061383.72100888
185	121893811	114938175.008177	6955635.99182321
186	112078589	116723012.19519	-4644423.19519031
187	102244687	101665240.442439	579446.557561278
188	116917776	117032960.80441	-115184.804409876
189	116845594	120541402.312123	-3695808.31212261
190	126056370	123939930.290562	2116439.70943782
191	123222229	118958921.324185	4263307.67581524
192	113535952	116259286.741657	-2723334.74165662
193	127069232	117765242.094967	9303989.90503259
194	113661882	109660123.148352	4001758.85164848
195	114591291	122284006.416783	-7692715.41678293
196	115882665	115828731.402568	53933.5974319577
197	120213953	118954383.178203	1259569.82179722
198	111625246	118331812.923324	-6706566.92332371
199	111767767	103361916.378589	8405850.62141135
200	114581076	120343950.065165	-5762874.06516495
201	117165225	122271882.24767	-5106657.24767041
202	131128808	125958414.653198	5170393.34680206
203	118888095	121853505.186343	-2965410.18634288
204	118341797	116886186.723521	1455610.27647898
205	121752472	120516412.363235	1236059.63676512
206	105623851	110134420.835328	-4510569.83532815
207	110367809	119734938.702416	-9367129.70241569
208	119748744	113707869.219529	6040874.78047113
209	112196045	118245267.246289	-6049222.24628916
210	113988891	115238047.803212	-1249156.80321188
211	106784054	102981779.325215	3802274.67478514
212	108336473	117530096.808443	-9193623.80844346
213	117757116	118786195.124529	-1029079.12452872
214	122401037	124396972.795847	-1995935.79584679
215	105198539	117920812.330741	-12722273.3307411
216	114948995	111302944.700432	3646050.29956827
217	113368696	115382422.056551	-2013726.05655129
218	101813941	103715665.730686	-1901724.73068602
219	115729272	113383410.872367	2345861.12763336
220	116357873	111446899.361871	4910973.63812937
221	110471118	114510099.49455	-4038981.49455033
222	117406273	112424396.592844	4981876.40715587
223	103990740	102023979.528741	1966760.47125916
224	109876750	114853957.304258	-4977207.30425794
225	123023201	117849112.500819	5174088.49918076
226	121017972	124697002.343378	-3679030.34337814
227	120740486	116766389.059434	3974096.94056644
228	122375786	115409780.940113	6966005.05988714
229	119484644	119627810.629836	-143166.629835784
230	110212022	108375191.565808	1836830.43419197
231	119951911	119280312.189534	671598.810465947
232	111030124	117244491.350229	-6214367.35022938
233	116189643	117001168.480929	-811525.48092927
234	62860693	116528781.660429	-53668088.6604289
235	98989753	93193966.7547615	5795786.24523851
236	90902407	106141353.236834	-15238946.2368343
237	116187519	107960675.104227	8226843.89577295
238	105803511	114564465.224393	-8760954.22439301
239	111203214	106318894.139606	4884319.86039387
240	107986276	105462873.322617	2523402.67738347
241	113178075	108000598.644735	5177476.35526453
242	108430237	98095110.8635587	10335126.1364413
243	116741578	110711290.819938	6030287.18006247
244	97354185	109128122.511366	-11773937.5113655
245	119440899	108237895.701995	11203003.2980047
246	111930427	104970770.564888	6959656.43511193
247	100786808	100743387.674122	43420.3258781582
248	108653153	110310673.265413	-1657520.26541346
249	113068088	117443216.842847	-4375128.84284715
250	121751895	119604206.465987	2147688.53401303
251	111612227	115096547.279587	-3484320.27958703
252	103461282	112198374.500362	-8737092.50036225
253	113950376	112581918.477812	1368457.52218777
254	100508026	102381459.186512	-1873433.18651158
255	122489831	111930830.746913	10559000.2530874
256	109152942	109509999.879634	-357057.879634395
257	114483340	113417193.71184	1066146.28816049
258	113376238	107535561.292339	5840676.70766118
259	104237959	102363098.008472	1874860.99152774
260	111993653	112151517.55081	-157864.550810069
261	100383235	119330251.333706	-18947016.3337061
262	125609531	119018000.445634	6591530.55436623
263	123678915	114893695.196175	8785219.80382527
264	116020784	114102371.352809	1918412.64719117
265	119311840	117808936.553603	1502903.4463966
266	107194282	107307357.163317	-113075.163316712
267	116106381	118501519.155037	-2395138.15503718
268	108294419	112180247.859468	-3885828.8594677
269	114413022	115472592.969129	-1059570.96912853
270	105708801	109619399.718953	-3910598.71895303
271	109865807	101943701.677897	7922105.32210258
272	105811647	112827143.620329	-7015496.62032886
273	113177922	116616440.378396	-3438518.37839623
274	123794114	122243346.013282	1550767.98671818
275	114665734	117257103.49448	-2591369.49447967
276	113653969	113317254.000405	336714.999595031
277	121876273	116640973.25089	5235299.74911013
278	106068149	106778456.464588	-710307.464588061
279	109814389	117611689.909308	-7797300.90930827
280	111864093	109975553.739742	1888539.26025769
281	113947261	114798878.113156	-851617.11315605
282	110633362	108700186.040656	1933175.95934442
283	92998823	103487383.552727	-10488560.5527274
284	99652406	108886141.742793	-9233735.74279349
285	110648420	112562031.248153	-1913611.24815282
286	110082433	119025225.555732	-8942792.55573153
287	108071321	111357981.409273	-3286660.40927337
288	111130903	107566551.758801	3564351.24119891
289	117728231	112083925.054027	5644305.9459727
290	106115490	101704127.995765	4411362.00423494
291	119024399	112918516.285337	6105882.71466331
292	108075574	109261899.178922	-1186325.17892168
293	101916014	113144217.477734	-11228203.4777345
294	114749451	105094959.799821	9654491.20017911
295	98085802	100279873.554087	-2194071.55408688
296	106786637	107592204.32063	-805567.320630431
297	103410120	113827973.896667	-10417853.8966674
298	108992471	117744531.033302	-8752060.03330216
299	117580573	110694219.434448	6886353.56555237
300	137422549	109790575.787706	27631973.2122941
301	106333038	119701508.288458	-13368470.2884578
302	106432332	105102704.094936	1329627.9050636
303	110471851	115826114.871875	-5354263.87187496
304	106533247	108959670.804023	-2426423.80402307
305	108054294	111552600.751267	-3498306.75126721
306	105482116	107293729.70869	-1811613.70869033
307	93709189	98803637.6820479	-5094448.68204793
308	109131113	105632880.902957	3498232.09704292
309	108603575	111816609.178058	-3213034.17805755
310	108377401	117453973.539419	-9076572.53941917
311	113640986	111925987.151141	1714998.84885861
312	113462687	112021116.546305	1441570.45369457
313	109111012	112118841.905903	-3007829.90590335
314	99183342	101247155.069579	-2063813.0695795
315	110833333	110559446.413042	273886.586958125
316	101184109	105202843.123309	-4018734.12330884
317	117051206	107343814.841798	9707391.15820169
318	114021001	106099876.344697	7921124.65530281
319	93696965	99371021.422384	-5674056.42238402
320	103464664	106950320.563358	-3485656.56335784
321	108671675	110947113.890321	-2275438.89032078
322	105845010	116189359.627276	-10344349.6272762
323	110352377	111487140.896821	-1134763.89682062
324	107996666	110940873.810467	-2944207.81046726
325	119381356	109641328.312417	9740027.68758327
326	103249698	101610386.293319	1639311.7066807
327	117017433	111957973.735044	5059459.26495601
328	111095171	107194666.543481	3900504.45651856
329	112391974	112438158.936589	-46184.9365888089
330	109513260	108912396.706432	600863.293568298
331	103082589	99223313.5641342	3859275.43586582
332	114362587	109077959.932418	5284627.06758162
333	106929743	115086223.50456	-8156480.50455958
334	121483225	118240753.009322	3242471.9906776
335	117608611	117401451.282116	207159.717883602
336	104439801	116959877.392706	-12520076.3927065
337	145250611	114890053.50932	30360557.49068
338	133552134	110473982.666732	23078151.3332679
339	130927906	125785597.782472	5142308.21752761
340	135472018	120922131.465035	14549886.5349652
341	140971640	128056626.658439	12915013.3415609
342	139502183	127387306.541518	12114876.458482
343	136341605	120508955.217187	15832649.7828133
344	121440745	133086605.19181	-11645860.1918098
345	145208563	134081232.073493	11127330.9265067
346	154299558	142548154.415064	11751403.5849361
347	133159384	143231803.492955	-10072419.4929546
348	149002813	139281224.136971	9721588.86302859
349	142098473	146365866.409322	-4267393.40932181
350	129893855	133752905.699969	-3859050.69996934
351	145444831	141438802.023089	4006028.97691089
352	141821958	137288506.600976	4533451.39902395
353	132856599	142099997.941378	-9243398.94137788
354	144575294	136578476.192924	7996817.8070758
355	132377086	129192018.563999	3185067.43600126
356	139631892	136248957.781409	3382934.21859136
357	143836436	142797911.276327	1038524.72367251
358	150120462	149156238.140595	964223.859404922
359	146476407	145295444.184028	1180962.815972
360	150959969	145783020.485168	5176948.51483184
361	139843831	150464935.578982	-10621104.5789823
362	135067495	136525586.500453	-1458091.50045255
363	162217974	145529179.773929	16688794.2260709
364	148754317	144163199.984507	4591117.01549312
365	142087889	147584444.873025	-5496555.87302485
366	151878396	144624901.239003	7253494.76099715
367	137232674	136588506.555246	644167.444753557
368	152539908	143118531.83454	9421376.16546026
369	157730636	150728879.097541	7001756.90245882
370	155919549	158363533.444808	-2443984.44480827
371	158345832	153791014.282596	4554817.71740368
372	155293830	155411829.428717	-117999.428716511
373	148211057	157345288.204769	-9134231.20476907
374	145367208	144658978.557049	708229.442950606
375	159322145	155976571.96301	3345573.03698969
376	141394808	150506077.537124	-9111269.53712365
377	152501604	149950123.474985	2551480.52501512
378	144788279	150021453.815973	-5233174.81597275
379	132665186	138623746.421632	-5958560.42163247
380	153447911	144625828.723963	8822082.27603665
381	154073968	151860798.565715	2213169.43428475
382	151218659	157502764.392125	-6284105.39212471
383	152314179	152816030.568264	-501851.56826359
384	153576457	152872384.351548	704072.648452371
385	146956048	154064867.138669	-7108819.13866925
386	142730585	142816721.629003	-86136.6290030181
387	154013861	154231802.665695	-217941.665694863
388	146390069	146725810.473366	-335741.473365754
389	150867957	149246659.073114	1621297.92688578
390	147479833	148325140.974203	-845307.974202663
391	144721295	137798293.824362	6923001.17563817
392	151670553	148078655.467005	3591897.53299475
393	138026642	153514686.186447	-15488044.1864468
394	163964340	154480423.108426	9483916.89157391
395	154950637	153777275.045358	1173361.9546423
396	145384844	154317083.372396	-8932239.37239635
397	157311208	152639400.97543	4671807.02457026
398	137243260	144642640.953077	-7399380.95307708
399	151682424	154469750.741131	-2787326.74113056
400	151261896	146398572.781442	4863323.21855816
401	152246280	150238039.298797	2008240.70120251
402	138405427	149148698.070467	-10743271.0704669
403	146314866	137281720.110974	9033145.88902575
404	138362743	147677249.349275	-9314506.34927484
405	145963411	148391927.781573	-2428516.78157282
406	162261490	154711868.643512	7549621.35648751
407	143566427	152746141.817575	-9179714.81757513
408	149031577	150028036.952316	-996459.952316165
409	157251394	151444007.283302	5807386.71669826
410	139046214	142462735.76273	-3416521.76273015
411	150614308	153616927.635711	-3002619.63571101
412	152250128	146278332.146687	5971795.85331276
413	148828360	150065769.973279	-1237409.97327921
414	146906898	146979366.406971	-72468.4069705009
415	144665280	139423322.855487	5241957.14451274
416	141160729	147134575.00547	-5973846.00546989

Extrapolation Forecasts of Exponential Smoothing
t	Forecast	95% Lower Bound	95% Upper Bound
417	149269585.301892	134466553.988289	164072616.615494
418	157128293.041173	141986053.17145	172270532.910896
419	151833858.852103	136359844.490181	167307873.214026
420	151925320.912965	136126497.770916	167724144.055014
421	154248550.255361	138131462.89832	170365637.612402
422	143077826.764351	126648639.411495	159507014.117206
423	155009741.178966	138274273.176069	171745209.181863
424	149231325.743203	132195082.569407	166267568.917
425	150999036.925675	133667237.432331	168330836.419019
426	148297655.618183	130675256.068796	165920055.16757
427	141298292.023363	123390007.402022	159206576.644705
428	146739029.288548	128549352.263385	164928706.31371

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
417 & 149269585.301892 & 134466553.988289 & 164072616.615494 \tabularnewline
418 & 157128293.041173 & 141986053.17145 & 172270532.910896 \tabularnewline
419 & 151833858.852103 & 136359844.490181 & 167307873.214026 \tabularnewline
420 & 151925320.912965 & 136126497.770916 & 167724144.055014 \tabularnewline
421 & 154248550.255361 & 138131462.89832 & 170365637.612402 \tabularnewline
422 & 143077826.764351 & 126648639.411495 & 159507014.117206 \tabularnewline
423 & 155009741.178966 & 138274273.176069 & 171745209.181863 \tabularnewline
424 & 149231325.743203 & 132195082.569407 & 166267568.917 \tabularnewline
425 & 150999036.925675 & 133667237.432331 & 168330836.419019 \tabularnewline
426 & 148297655.618183 & 130675256.068796 & 165920055.16757 \tabularnewline
427 & 141298292.023363 & 123390007.402022 & 159206576.644705 \tabularnewline
428 & 146739029.288548 & 128549352.263385 & 164928706.31371 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257347&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]417[/C][C]149269585.301892[/C][C]134466553.988289[/C][C]164072616.615494[/C][/ROW]
[ROW][C]418[/C][C]157128293.041173[/C][C]141986053.17145[/C][C]172270532.910896[/C][/ROW]
[ROW][C]419[/C][C]151833858.852103[/C][C]136359844.490181[/C][C]167307873.214026[/C][/ROW]
[ROW][C]420[/C][C]151925320.912965[/C][C]136126497.770916[/C][C]167724144.055014[/C][/ROW]
[ROW][C]421[/C][C]154248550.255361[/C][C]138131462.89832[/C][C]170365637.612402[/C][/ROW]
[ROW][C]422[/C][C]143077826.764351[/C][C]126648639.411495[/C][C]159507014.117206[/C][/ROW]
[ROW][C]423[/C][C]155009741.178966[/C][C]138274273.176069[/C][C]171745209.181863[/C][/ROW]
[ROW][C]424[/C][C]149231325.743203[/C][C]132195082.569407[/C][C]166267568.917[/C][/ROW]
[ROW][C]425[/C][C]150999036.925675[/C][C]133667237.432331[/C][C]168330836.419019[/C][/ROW]
[ROW][C]426[/C][C]148297655.618183[/C][C]130675256.068796[/C][C]165920055.16757[/C][/ROW]
[ROW][C]427[/C][C]141298292.023363[/C][C]123390007.402022[/C][C]159206576.644705[/C][/ROW]
[ROW][C]428[/C][C]146739029.288548[/C][C]128549352.263385[/C][C]164928706.31371[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257347&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257347&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
t	Forecast	95% Lower Bound	95% Upper Bound
417	149269585.301892	134466553.988289	164072616.615494
418	157128293.041173	141986053.17145	172270532.910896
419	151833858.852103	136359844.490181	167307873.214026
420	151925320.912965	136126497.770916	167724144.055014
421	154248550.255361	138131462.89832	170365637.612402
422	143077826.764351	126648639.411495	159507014.117206
423	155009741.178966	138274273.176069	171745209.181863
424	149231325.743203	132195082.569407	166267568.917
425	150999036.925675	133667237.432331	168330836.419019
426	148297655.618183	130675256.068796	165920055.16757
427	141298292.023363	123390007.402022	159206576.644705
428	146739029.288548	128549352.263385	164928706.31371

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code