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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, 24 Nov 2011 12:29:38 -0500

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/2011/Nov/24/t1322155816w8jeymyi6k2iq7x.htm/, Retrieved Sat, 20 Apr 2024 09:44:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147112, Retrieved Sat, 20 Apr 2024 09:44:13 +0000

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Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Exponential Smoothing] [] [2011-11-24 17:29:38] [885a9dbaf162325773a0a0afdf9f947e] [Current]

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-45.6
16.1
23.9
39.3
-39.4
-0.3
17.3
17.7
31.4
-28.6
-17.2
-79
-47.9
9.1
10.6
-23.9
-45
-42.2
43.2
32.1
-15.3
21.8
-12
-95.8
-14.3
47.8
64.8
40.2
-28.8
23.5
70.3
12.3
43.5
-30.1
-5.3
-24
11.1
21.5
38.5
16.8
-36.2
6
26.6
-8
13.2
-23.6
19.4
-46.2
-8.2
33.8
16.6
5.4
-25
-5.3
16.7
19
24.8
-11.4
4.9
-58.7
16.8
13.6
6.4
22.8
-19.6
2.2
19.8
-10.7
4.7
-44.5
-34.7
-119.7
-42.2
-5.4
19.1
18.8
-2.3
0.2
20.9
3.7
50.4
-18.6
10.6
-66
10
27.2
13.5
47.2
-20.3
23.1
12.6
19.8
5.4
-25.2
-6.5
-46.5
-2.6
-0.3
38.5
-8.9
-38
19.5
51.7
19.4
18.2
-50.8
-6.1
-54.6
12.1
26.3
19.5
-0.8
-49.6
28.8
31.7
2.3
3.8
-66.2
-20.5
-113.2
-65.2
-3.9
9.1
23.2
-39.1
12.5
49.1
54.9
30.8
-3.5
-28.3
-61
-2
40
74
23.1
-45.3
17.5
25.8
15.2
-3.6
-40.5
11.5
-59.8
23.3
-27.8
55.7
22.7
-79.2
28.8
17.3
39.6
-22.2
-43
-50.3
-86.5
-31.9
23.1
53.6
21.6
-64.2
35.2
52.1
40.6
17.1
-7.8
-10
-58
14
15.8
46
-8.9
-26.7
39
-1.3
38.7
22.1
-49.2
-3.4
-86.7
-24.3
42.8
44.9
4.4
-60.5
41.4
38.5
28.5
7.6
-46.4
7
-73
5.7
23.6
39.4
30.3
-92.5
77.8
12.4
28.9
6.4
-12
-9.1
-53.2
-23.1
47.3
20.7
27.8
-84.3
62.8
26.4
32.3
13.3
-17.9
10
-45.6
13.5
11.9
26
-6.3
-79.9
54.2
22.9
31.8
3.8
-11.4
-8.6
-49.4
-2.5
23
29
20.6
-117
37.9
30.7
4.7
-5.7
4.9
18.3
-35.4
-21.3
35.8
43.8
18.7
-131.1
39.8
44.5
16.5
9.7
-6.6
15.8
-45.7
-4.8
17.6
20.5
24.2
-109
20.8
31.2
-8.8
11.8
13
8.3
-77.9
-38.8
6.1
18.1
16.8
-128.5
15.9
29
-7.2
3.3
-34.8
-2.9
-77.8
-2.8
26.7
48.1
30
-109.6
16
26.9
22.1
27
-24.5
12
-75.2
3.5
19.7
51.8
35.3
-108.2
25.3
31.6
19.9
18.8
20.4
15
-55.9
-17
33.3
33.8
37.5
-104.8
29.7
34.2
4.3
40.2
-29.3
-0.2
-95
-13.2
38.5
45.4
15.7
-123.6
12
37.5
-31.7
15.8
-64.1
-42.1
-207.4
-12.9
-5
53.9
19.7
-94.6
36
51.3
17.4
27.8
1.3
3.6
-97.9
14.1
50.8
63.5
58.6
-135.1
7.8
25.5
29.6
19.3
-26.2
7.3
-82.6
-26.1
55.3
98.8
41.7
-130.2
51.2
18.4
32
21.6
-12.5
46.6
-101.7
15.8
26
79.1
23.1
-86.9
-11.2
50.7
13.4
33.7
-16.9
-9.6

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	'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147112&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147112&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147112&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	'Gwilym Jenkins' @ jenkins.wessa.net

Estimated Parameters of Exponential Smoothing
Parameter	Value
alpha	0.299999999999985
beta	0.100000000000045
gamma	0.100000000000045

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.299999999999985 \tabularnewline
beta & 0.100000000000045 \tabularnewline
gamma & 0.100000000000045 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147112&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]0.299999999999985[/C][/ROW]
[ROW][C]beta[/C][C]0.100000000000045[/C][/ROW]
[ROW][C]gamma[/C][C]0.100000000000045[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147112&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147112&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	0.299999999999985
beta	0.100000000000045
gamma	0.100000000000045

Interpolation Forecasts of Exponential Smoothing
t	Observed	Fitted	Residuals
13	-47.9	-30.4120816087394	-17.4879183912606
14	9.1	8.4413897520431	0.658610247956904
15	10.6	10.0734329029363	0.526567097063669
16	-23.9	-25.4155127019956	1.51551270199564
17	-45	-60.242225742438	15.242225742438
18	-42.2	-54.0153828411753	11.8153828411753
19	43.2	52.8465787231767	-9.64657872317673
20	32.1	50.619116759292	-18.519116759292
21	-15.3	73.4731751526066	-88.7731751526066
22	21.8	-29.5003768868698	51.3003768868698
23	-12	-6.13827065088016	-5.86172934911984
24	-95.8	-30.3475438289514	-65.4524561710486
25	-14.3	-30.5381255679851	16.2381255679851
26	47.8	5.33241624495922	42.4675837550408
27	64.8	20.5002985645949	44.2997014354051
28	40.2	-82.4565323345569	122.656532334557
29	-28.8	-105.540975997803	76.7409759978027
30	23.5	-77.4303936000867	100.930393600087
31	70.3	46.0756540903265	24.2243459096735
32	12.3	50.5494947621212	-38.2494947621212
33	43.5	53.0159703790818	-9.51597037908182
34	-30.1	-25.8874546675479	-4.21254533245209
35	-5.3	-17.4715435894128	12.1715435894128
36	-24	-53.9088243227109	29.9088243227109
37	11.1	-21.49781124742	32.59781124742
38	21.5	2.1805734380317	19.3194265619683
39	38.5	7.72127759072297	30.778722409277
40	16.8	-29.7197563512674	46.5197563512674
41	-36.2	-39.4120017163466	3.21200171634656
42	6	-31.2197796625399	37.2197796625399
43	26.6	22.0859750745947	4.51402492540535
44	-8	18.434705480439	-26.434705480439
45	13.2	12.0843874443768	1.11561255562319
46	-23.6	-4.96398029742739	-18.6360197025726
47	19.4	-5.69700581225903	25.097005812259
48	-46.2	13.9727471703065	-60.1727471703065
49	-8.2	0.181058709976054	-8.38105870997605
50	33.8	0.217829997264749	33.5821700027352
51	16.6	10.2008771924069	6.3991228075931
52	5.4	-14.9881784812793	20.3881784812793
53	-25	-28.2129215185382	3.21292151853819
54	-5.3	-19.6488803447849	14.3488803447849
55	16.7	20.7592467704051	-4.05924677040515
56	19	12.9986752181592	6.00132478184078
57	24.8	25.9488985076106	-1.14889850761056
58	-11.4	-15.1769056223566	3.77690562235659
59	4.9	-14.4496366001427	19.3496366001427
60	-58.7	-32.8981686019982	-25.8018313980018
61	16.8	-10.0266786526769	26.8266786526769
62	13.6	0.0360069872585265	13.5639930127415
63	6.4	3.09795269597193	3.30204730402807
64	22.8	-3.80161659462328	26.6016165946233
65	-19.6	19.0593682569079	-38.6593682569079
66	2.2	6.59846588675059	-4.39846588675059
67	19.8	-9.79587473716001	29.59587473716
68	-10.7	-1.4988650367342	-9.2011349632658
69	4.7	-9.32838212081424	14.0283821208142
70	-44.5	3.96126183021073	-48.4612618302107
71	-34.7	-10.1814319988908	-24.5185680011092
72	-119.7	-101.15079017274	-18.5492098272597
73	-42.2	-1.5182251078619	-40.6817748921381
74	-5.4	130.856239442664	-136.256239442664
75	19.1	67.4645954274395	-48.3645954274395
76	18.8	-74.1727139782314	92.9727139782314
77	-2.3	-79.6984475493762	77.3984475493762
78	0.2	-57.6661914513699	57.8661914513699
79	20.9	-77.5796133545035	98.4796133545034
80	3.7	28.7239734872321	-25.0239734872321
81	50.4	21.3886931841371	29.0113068158629
82	-18.6	-25.8538686803363	7.25386868033626
83	10.6	-15.1729971652905	25.7729971652905
84	-66	-19.0289078909955	-46.9710921090045
85	10	-0.263870496310127	10.2638704963101
86	27.2	-21.8104528070873	49.0104528070873
87	13.5	-6.75715186651263	20.2571518665126
88	47.2	2.01137500346301	45.188624996537
89	-20.3	31.4607641710409	-51.7607641710409
90	23.1	18.7782477613483	4.32175223865168
91	12.6	43.0906201296581	-30.4906201296581
92	19.8	-27.2551529626739	47.0551529626739
93	5.4	-21.31809027903	26.71809027903
94	-25.2	13.5864749080434	-38.7864749080434
95	-6.5	1.45638491742723	-7.95638491742723
96	-46.5	-6.20810502748732	-40.2918949725127
97	-2.6	-0.344966887551302	-2.2550331124487
98	-0.3	2.92561557710233	-3.22561557710233
99	38.5	-3.15887438963475	41.6588743896348
100	-8.9	13.8827424044595	-22.7827424044595
101	-38	8.6901070090683	-46.6901070090683
102	19.5	-7.72230032056034	27.2223003205603
103	51.7	0.886241875207835	50.8137581247922
104	19.4	-10.0275469775641	29.4275469775641
105	18.2	-2.02358654247354	20.2235865424735
106	-50.8	1.86743588391513	-52.6674358839151
107	-6.1	36.730425034759	-42.830425034759
108	-54.6	134.60923273367	-189.20923273367
109	12.1	1.49803678760575	10.6019632123942
110	26.3	-10.3367112370036	36.6367112370036
111	19.5	-2.10962383696903	21.609623836969
112	-0.8	3.45130777597965	-4.25130777597965
113	-49.6	4.79624186873	-54.39624186873
114	28.8	-57.6649515126059	86.4649515126059
115	31.7	-14.8392039750798	46.5392039750798
116	2.3	-0.562523528023011	2.86252352802301
117	3.8	-0.33853176630002	4.13853176630002
118	-66.2	0.609566686002909	-66.8095666860029
119	-20.5	35.1594237334487	-55.6594237334487
120	-113.2	97.1911598712409	-210.391159871241
121	-65.2	0.856382651262178	-66.0563826512622
122	-3.9	180.952646209292	-184.852646209292
123	9.1	-84.7177105662386	93.8177105662386
124	23.2	-30.7352470766857	53.9352470766857
125	-39.1	-54.3078242530463	15.2078242530463
126	12.5	-134.307553264231	146.807553264231
127	49.1	120.292674310916	-71.1926743109155
128	54.9	-19.8172924257509	74.7172924257509
129	30.8	-12.7822040576482	43.5822040576482
130	-3.5	-1.76582123097185	-1.73417876902815
131	-28.3	4.44457182777059	-32.7445718277706
132	-61	-15.3907690631622	-45.6092309368378
133	-2	-1.48369223647073	-0.516307763529271
134	40	9.48655780752532	30.5134421924747
135	74	-11.4689876534448	85.4689876534448
136	23.1	7.02092055420554	16.0790794457945
137	-45.3	63.3137237551027	-108.613723755103
138	17.5	81.9972305654594	-64.4972305654594
139	25.8	-100.060852291535	125.860852291535
140	15.2	44.8980958073349	-29.6980958073349
141	-3.6	-361.013846926821	357.413846926821
142	-40.5	-9.09156068010033	-31.4084393198997
143	11.5	28.8234334180832	-17.3234334180832
144	-59.8	70.3963863373803	-130.19638633738
145	23.3	1.66142151892402	21.638578481076
146	-27.8	-60.1824145155397	32.3824145155398
147	55.7	42.1867681703582	13.5132318296418
148	22.7	16.1456219956623	6.55437800433765
149	-79.2	63.2203136113098	-142.42031361131
150	28.8	59.6657347724002	-30.8657347724002
151	17.3	-65.2773345614573	82.5773345614573
152	39.6	26.1468366177501	13.4531633822499
153	-22.2	-243.432437609604	221.232437609604
154	-43	-6.1466279408251	-36.8533720591749
155	-50.3	20.8430267119818	-71.1430267119818
156	-86.5	-5.48277271553616	-81.0172272844638
157	-31.9	-3.13561416275221	-28.7643858372478
158	23.1	72.2994018550597	-49.1994018550597
159	53.6	-53.1244250380815	106.724425038082
160	21.6	-7.60688457027315	29.2068845702732
161	-64.2	2.16047063009061	-66.3604706300906
162	35.2	-105.833898908812	141.033898908812
163	52.1	81.2941686072089	-29.1941686072089
164	40.6	-66.7087287711676	107.308728771168
165	17.1	276.627078939859	-259.527078939859
166	-7.8	10.3623092300128	-18.1623092300128
167	-10	-51.4514065633056	41.4514065633056
168	-58	-7.27878184511328	-50.7212181548867
169	14	-1.89604254506554	15.8960425450655
170	15.8	-14.6947247593696	30.4947247593696
171	46	3.8275412333627	42.1724587666373
172	-8.9	25.7994924233993	-34.6994924233993
173	-26.7	12.6720427364188	-39.3720427364188
174	39	3.33020896852458	35.6697910314754
175	-1.3	-20.8566074708793	19.5566074708793
176	38.7	11.150672410063	27.549327589937
177	22.1	-189.118672736475	211.218672736475
178	-49.2	-5.65181292343161	-43.5481870765684
179	-3.4	294.026301488095	-297.426301488095
180	-86.7	61.7027063498144	-148.402706349814
181	-24.3	1.70585804449125	-26.0058580444912
182	42.8	13.4397027899406	29.3602972100594
183	44.9	-27.005193184947	71.905193184947
184	4.4	-5.96220673562199	10.362206735622
185	-60.5	5.96008367138229	-66.4600836713823
186	41.4	30.2813796414081	11.1186203585919
187	38.5	-38.9377908682168	77.4377908682168
188	28.5	14.1909347698146	14.3090652301854
189	7.6	-144.13879103379	151.73879103379
190	-46.4	-5.82667683704715	-40.5733231629528
191	7	218.11395441506	-211.11395441506
192	-73	20.4986479167205	-93.4986479167205
193	5.7	-2.97582613736424	8.67582613736424
194	23.6	0.964045104654634	22.6359548953454
195	39.4	-0.647886231122466	40.0478862311225
196	30.3	126.594724506275	-96.2947245062748
197	-92.5	-369.026699918039	276.526699918039
198	77.8	459.203798564304	-381.403798564304
199	12.4	-245.772418814384	258.172418814384
200	28.9	234.608417998267	-205.708417998267
201	6.4	-1067.62484910605	1074.02484910605
202	-12	-52.2730865589538	40.2730865589538
203	-9.1	326.486865496367	-335.586865496367
204	-53.2	48.9973083463629	-102.197308346363
205	-23.1	-0.742514818598785	-22.3574851814012
206	47.3	-21.4306893084584	68.7306893084584
207	20.7	-0.246208722995294	20.9462087229953
208	27.8	48.1193343848012	-20.3193343848012
209	-84.3	-152.513536719557	68.2135367195572
210	62.8	201.525401323792	-138.725401323792
211	26.4	-105.534782820197	131.934782820197
212	32.3	87.6375724691624	-55.3375724691624
213	13.3	-394.502756353538	407.802756353538
214	-17.9	-17.0682709188032	-0.831729081196833
215	10	118.39800490616	-108.39800490616
216	-45.6	9.66284606564304	-55.262846065643
217	13.5	3.05391620351852	10.4460837964815
218	11.9	-102.725000973632	114.625000973632
219	26	-1.70202990111804	27.702029901118
220	-6.3	41.495027730276	-47.795027730276
221	-79.9	-98.3472333094443	18.4472333094443
222	54.2	138.817761976682	-84.6177619766816
223	22.9	-69.1635172964021	92.0635172964021
224	31.8	61.2687318151331	-29.4687318151331
225	3.8	-281.782834587709	285.582834587709
226	-11.4	-14.3761719749428	2.97617197494279
227	-8.6	86.7094725967696	-95.3094725967696
228	-49.4	11.6207098455981	-61.0207098455981
229	-2.5	2.2427222699385	-4.7427222699385
230	23	-18.8000151129428	41.8000151129428
231	29	-0.437848008181611	29.4378480081816
232	20.6	35.9563598475948	-15.3563598475948
233	-117	-130.249341187216	13.2493411872157
234	37.9	185.221913911009	-147.321913911009
235	30.7	-78.1180594518827	108.818059451883
236	4.7	78.4043219738724	-73.7043219738724
237	-5.7	-285.868083131246	280.168083131246
238	4.9	-16.5711246161621	21.4711246161621
239	18.3	51.787865024333	-33.487865024333
240	-35.4	12.679751313927	-48.079751313927
241	-21.3	0.774279498402146	-22.0742794984021
242	35.8	52.7611803814055	-16.9611803814055
243	43.8	3.10387445501386	40.6961255449861
244	18.7	51.0029632601112	-32.3029632601112
245	-131.1	-176.509832520568	45.4098325205684
246	39.8	222.755189475438	-182.955189475438
247	44.5	-83.3180727203841	127.818072720384
248	16.5	83.5662932961547	-67.0662932961547
249	9.7	-317.317795724964	327.017795724964
250	-6.6	-16.6301714614986	10.0301714614986
251	15.8	83.5282055086384	-67.7282055086384
252	-45.7	70.2932213284492	-115.993221328449
253	-4.8	0.138494399623778	-4.93849439962378
254	17.6	3.28829522368735	14.3117047763126
255	20.5	0.155220430809417	20.3447795691906
256	24.2	15.8128842358831	8.3871157641169
257	-109	-78.9406996185781	-30.0593003814219
258	20.8	111.481773894702	-90.6817738947016
259	31.2	-35.5611511685791	66.7611511685791
260	-8.8	30.9536610776622	-39.7536610776622
261	11.8	-76.1144189297321	87.9144189297321
262	13	-2.40109952723264	15.4010995272326
263	8.3	-35.8473284959904	44.1473284959904
264	-77.9	-57.8881904444314	-20.0118095555686
265	-38.8	3.65098031649928	-42.4509803164993
266	6.1	58.3396498572142	-52.2396498572142
267	18.1	3.68902116755655	14.4109788324435
268	16.8	17.4511286659816	-0.651128665981606
269	-128.5	-74.6744389692747	-53.8255610307253
270	15.9	105.451985064661	-89.5519850646612
271	29	-25.4935206196004	54.4935206196004
272	-7.2	22.3733538705356	-29.5733538705356
273	3.3	-55.6920777968346	58.9920777968346
274	-34.8	-3.30347575351476	-31.4965242464852
275	-2.9	47.8030506547156	-50.7030506547156
276	-77.8	40.3539898387709	-118.153989838771
277	-2.8	0.693191372853458	-3.49319137285346
278	26.7	-2.12612697156676	28.8261269715668
279	48.1	0.399125814847614	47.7008741851524
280	30	29.0760986283653	0.923901371634681
281	-109.6	-135.637093571579	26.0370935715789
282	16	132.30418087045	-116.30418087045
283	26.9	-20.2211710305414	47.1211710305414
284	22.1	21.5656648616564	0.534335138343586
285	27	-108.964460198007	135.964460198007
286	-24.5	-10.910368670276	-13.589631329724
287	12	40.4807296282479	-28.4807296282479
288	-75.2	-29.1799943721184	-46.0200056278816
289	3.5	-4.16861003768255	7.66861003768255
290	19.7	0.795091808198424	18.9049081918016
291	51.8	0.157195871136948	51.642804128863
292	35.3	25.0481128512645	10.2518871487355
293	-108.2	-127.2960935966	19.0960935965996
294	25.3	116.58666020702	-91.2866602070202
295	31.6	-9.2334790471926	40.8334790471926
296	19.9	-32.5257920658805	52.4257920658805
297	18.8	105.209915461317	-86.4099154613172
298	20.4	25.8746549630341	-5.47465496303414
299	15	-86.2897959555808	101.289795955581
300	-55.9	102.858381570094	-158.758381570094
301	-17	6.03809307193841	-23.0380930719384
302	33.3	1.53259881709869	31.7674011829013
303	33.8	0.882044782432057	32.9179552175679
304	37.5	14.3535493284806	23.1464506715194
305	-104.8	-93.6977402185561	-11.1022597814439
306	29.7	88.1763450506773	-58.4763450506773
307	34.2	-15.5369936380123	49.7369936380123
308	4.3	-0.0669032603819073	4.36690326038191
309	40.2	4.37945347873286	35.8205465212671
310	-29.3	7.41018261905831	-36.7101826190583
311	-0.2	3.49359564051941	-3.69359564051941
312	-95	4.69077338466291	-99.6907733846629
313	-13.2	-6.20610293951571	-6.99389706048428
314	38.5	16.7415869602958	21.7584130397042
315	45.4	2.15772498671535	43.2422750132846
316	15.7	17.9011190650009	-2.20111906500086
317	-123.6	-70.2180495051551	-53.3819504948449
318	12	72.9291756170509	-60.9291756170509
319	37.5	58.9179247470176	-21.4179247470176
320	-31.7	49.6829391961358	-81.3829391961358
321	15.8	-129.777448284392	145.577448284392
322	-64.1	-31.3673079896208	-32.7326920103792
323	-42.1	52.5803520826486	-94.6803520826487
324	-207.4	-37.0821779866678	-170.317822013332
325	-12.9	-21.1562674100178	8.25626741001781
326	-5	41.3829144693956	-46.3829144693956
327	53.9	2.63048124758474	51.2695187524153
328	19.7	17.3423955913661	2.35760440863392
329	-94.6	-76.6240969437325	-17.9759030562675
330	36	60.5096039449478	-24.5096039449478
331	51.3	60.0084084306205	-8.7084084306205
332	17.4	43.2216189673981	-25.8216189673981
333	27.8	-216.389275199692	244.189275199692
334	1.3	-66.7340631435794	68.0340631435794
335	3.6	39.5895706792678	-35.9895706792678
336	-97.9	-75.7002907199742	-22.1997092800258
337	14.1	-15.4122211469848	29.5122211469848
338	50.8	7.08410300145316	43.7158969985468
339	63.5	2.26156161592158	61.2384383840784
340	58.6	16.5559003266708	42.0440996733292
341	-135.1	-126.265425095898	-8.83457490410176
342	7.8	91.5184426452859	-83.7184426452859
343	25.5	76.6800245520832	-51.1800245520832
344	29.6	43.8179942622999	-14.2179942622999
345	19.3	-222.80271854163	242.10271854163
346	-26.2	-70.997693447109	44.797693447109
347	7.3	50.9947804694121	-43.6947804694121
348	-82.6	-115.37163076851	32.7716307685098
349	-26.1	-13.2899178009238	-12.8100821990762
350	55.3	56.7777655300698	-1.47776553006979
351	98.8	8.33400921134617	90.4659907886538
352	41.7	26.037836849085	15.662163150915
353	-130.2	-119.897029301412	-10.3029706985875
354	51.2	78.3635695677023	-27.1635695677023
355	18.4	83.6603715149597	-65.2603715149597
356	32	47.206717870992	-15.206717870992
357	21.6	-217.658007399134	239.258007399134
358	-12.5	-72.9743202045835	60.4743202045835
359	46.6	46.1550087751224	0.444991224877619
360	-101.7	-154.752144690295	53.0521446902953
361	15.8	-19.535957227499	35.3359572274991
362	26	19.7194445072004	6.28055549279962
363	79.1	2.03078207749074	77.0692179225093
364	23.1	15.5549153402302	7.54508465976983
365	-86.9	-65.1166531521134	-21.7833468478866
366	-11.2	42.9665810080012	-54.1665810080012
367	50.7	28.4227185289928	22.2772814710072
368	13.4	26.4982675618773	-13.0982675618773
369	33.7	-101.132971180937	134.832971180937
370	-16.9	-29.3413870424977	12.4413870424977
371	-9.6	21.6460223657366	-31.2460223657366

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & -47.9 & -30.4120816087394 & -17.4879183912606 \tabularnewline
14 & 9.1 & 8.4413897520431 & 0.658610247956904 \tabularnewline
15 & 10.6 & 10.0734329029363 & 0.526567097063669 \tabularnewline
16 & -23.9 & -25.4155127019956 & 1.51551270199564 \tabularnewline
17 & -45 & -60.242225742438 & 15.242225742438 \tabularnewline
18 & -42.2 & -54.0153828411753 & 11.8153828411753 \tabularnewline
19 & 43.2 & 52.8465787231767 & -9.64657872317673 \tabularnewline
20 & 32.1 & 50.619116759292 & -18.519116759292 \tabularnewline
21 & -15.3 & 73.4731751526066 & -88.7731751526066 \tabularnewline
22 & 21.8 & -29.5003768868698 & 51.3003768868698 \tabularnewline
23 & -12 & -6.13827065088016 & -5.86172934911984 \tabularnewline
24 & -95.8 & -30.3475438289514 & -65.4524561710486 \tabularnewline
25 & -14.3 & -30.5381255679851 & 16.2381255679851 \tabularnewline
26 & 47.8 & 5.33241624495922 & 42.4675837550408 \tabularnewline
27 & 64.8 & 20.5002985645949 & 44.2997014354051 \tabularnewline
28 & 40.2 & -82.4565323345569 & 122.656532334557 \tabularnewline
29 & -28.8 & -105.540975997803 & 76.7409759978027 \tabularnewline
30 & 23.5 & -77.4303936000867 & 100.930393600087 \tabularnewline
31 & 70.3 & 46.0756540903265 & 24.2243459096735 \tabularnewline
32 & 12.3 & 50.5494947621212 & -38.2494947621212 \tabularnewline
33 & 43.5 & 53.0159703790818 & -9.51597037908182 \tabularnewline
34 & -30.1 & -25.8874546675479 & -4.21254533245209 \tabularnewline
35 & -5.3 & -17.4715435894128 & 12.1715435894128 \tabularnewline
36 & -24 & -53.9088243227109 & 29.9088243227109 \tabularnewline
37 & 11.1 & -21.49781124742 & 32.59781124742 \tabularnewline
38 & 21.5 & 2.1805734380317 & 19.3194265619683 \tabularnewline
39 & 38.5 & 7.72127759072297 & 30.778722409277 \tabularnewline
40 & 16.8 & -29.7197563512674 & 46.5197563512674 \tabularnewline
41 & -36.2 & -39.4120017163466 & 3.21200171634656 \tabularnewline
42 & 6 & -31.2197796625399 & 37.2197796625399 \tabularnewline
43 & 26.6 & 22.0859750745947 & 4.51402492540535 \tabularnewline
44 & -8 & 18.434705480439 & -26.434705480439 \tabularnewline
45 & 13.2 & 12.0843874443768 & 1.11561255562319 \tabularnewline
46 & -23.6 & -4.96398029742739 & -18.6360197025726 \tabularnewline
47 & 19.4 & -5.69700581225903 & 25.097005812259 \tabularnewline
48 & -46.2 & 13.9727471703065 & -60.1727471703065 \tabularnewline
49 & -8.2 & 0.181058709976054 & -8.38105870997605 \tabularnewline
50 & 33.8 & 0.217829997264749 & 33.5821700027352 \tabularnewline
51 & 16.6 & 10.2008771924069 & 6.3991228075931 \tabularnewline
52 & 5.4 & -14.9881784812793 & 20.3881784812793 \tabularnewline
53 & -25 & -28.2129215185382 & 3.21292151853819 \tabularnewline
54 & -5.3 & -19.6488803447849 & 14.3488803447849 \tabularnewline
55 & 16.7 & 20.7592467704051 & -4.05924677040515 \tabularnewline
56 & 19 & 12.9986752181592 & 6.00132478184078 \tabularnewline
57 & 24.8 & 25.9488985076106 & -1.14889850761056 \tabularnewline
58 & -11.4 & -15.1769056223566 & 3.77690562235659 \tabularnewline
59 & 4.9 & -14.4496366001427 & 19.3496366001427 \tabularnewline
60 & -58.7 & -32.8981686019982 & -25.8018313980018 \tabularnewline
61 & 16.8 & -10.0266786526769 & 26.8266786526769 \tabularnewline
62 & 13.6 & 0.0360069872585265 & 13.5639930127415 \tabularnewline
63 & 6.4 & 3.09795269597193 & 3.30204730402807 \tabularnewline
64 & 22.8 & -3.80161659462328 & 26.6016165946233 \tabularnewline
65 & -19.6 & 19.0593682569079 & -38.6593682569079 \tabularnewline
66 & 2.2 & 6.59846588675059 & -4.39846588675059 \tabularnewline
67 & 19.8 & -9.79587473716001 & 29.59587473716 \tabularnewline
68 & -10.7 & -1.4988650367342 & -9.2011349632658 \tabularnewline
69 & 4.7 & -9.32838212081424 & 14.0283821208142 \tabularnewline
70 & -44.5 & 3.96126183021073 & -48.4612618302107 \tabularnewline
71 & -34.7 & -10.1814319988908 & -24.5185680011092 \tabularnewline
72 & -119.7 & -101.15079017274 & -18.5492098272597 \tabularnewline
73 & -42.2 & -1.5182251078619 & -40.6817748921381 \tabularnewline
74 & -5.4 & 130.856239442664 & -136.256239442664 \tabularnewline
75 & 19.1 & 67.4645954274395 & -48.3645954274395 \tabularnewline
76 & 18.8 & -74.1727139782314 & 92.9727139782314 \tabularnewline
77 & -2.3 & -79.6984475493762 & 77.3984475493762 \tabularnewline
78 & 0.2 & -57.6661914513699 & 57.8661914513699 \tabularnewline
79 & 20.9 & -77.5796133545035 & 98.4796133545034 \tabularnewline
80 & 3.7 & 28.7239734872321 & -25.0239734872321 \tabularnewline
81 & 50.4 & 21.3886931841371 & 29.0113068158629 \tabularnewline
82 & -18.6 & -25.8538686803363 & 7.25386868033626 \tabularnewline
83 & 10.6 & -15.1729971652905 & 25.7729971652905 \tabularnewline
84 & -66 & -19.0289078909955 & -46.9710921090045 \tabularnewline
85 & 10 & -0.263870496310127 & 10.2638704963101 \tabularnewline
86 & 27.2 & -21.8104528070873 & 49.0104528070873 \tabularnewline
87 & 13.5 & -6.75715186651263 & 20.2571518665126 \tabularnewline
88 & 47.2 & 2.01137500346301 & 45.188624996537 \tabularnewline
89 & -20.3 & 31.4607641710409 & -51.7607641710409 \tabularnewline
90 & 23.1 & 18.7782477613483 & 4.32175223865168 \tabularnewline
91 & 12.6 & 43.0906201296581 & -30.4906201296581 \tabularnewline
92 & 19.8 & -27.2551529626739 & 47.0551529626739 \tabularnewline
93 & 5.4 & -21.31809027903 & 26.71809027903 \tabularnewline
94 & -25.2 & 13.5864749080434 & -38.7864749080434 \tabularnewline
95 & -6.5 & 1.45638491742723 & -7.95638491742723 \tabularnewline
96 & -46.5 & -6.20810502748732 & -40.2918949725127 \tabularnewline
97 & -2.6 & -0.344966887551302 & -2.2550331124487 \tabularnewline
98 & -0.3 & 2.92561557710233 & -3.22561557710233 \tabularnewline
99 & 38.5 & -3.15887438963475 & 41.6588743896348 \tabularnewline
100 & -8.9 & 13.8827424044595 & -22.7827424044595 \tabularnewline
101 & -38 & 8.6901070090683 & -46.6901070090683 \tabularnewline
102 & 19.5 & -7.72230032056034 & 27.2223003205603 \tabularnewline
103 & 51.7 & 0.886241875207835 & 50.8137581247922 \tabularnewline
104 & 19.4 & -10.0275469775641 & 29.4275469775641 \tabularnewline
105 & 18.2 & -2.02358654247354 & 20.2235865424735 \tabularnewline
106 & -50.8 & 1.86743588391513 & -52.6674358839151 \tabularnewline
107 & -6.1 & 36.730425034759 & -42.830425034759 \tabularnewline
108 & -54.6 & 134.60923273367 & -189.20923273367 \tabularnewline
109 & 12.1 & 1.49803678760575 & 10.6019632123942 \tabularnewline
110 & 26.3 & -10.3367112370036 & 36.6367112370036 \tabularnewline
111 & 19.5 & -2.10962383696903 & 21.609623836969 \tabularnewline
112 & -0.8 & 3.45130777597965 & -4.25130777597965 \tabularnewline
113 & -49.6 & 4.79624186873 & -54.39624186873 \tabularnewline
114 & 28.8 & -57.6649515126059 & 86.4649515126059 \tabularnewline
115 & 31.7 & -14.8392039750798 & 46.5392039750798 \tabularnewline
116 & 2.3 & -0.562523528023011 & 2.86252352802301 \tabularnewline
117 & 3.8 & -0.33853176630002 & 4.13853176630002 \tabularnewline
118 & -66.2 & 0.609566686002909 & -66.8095666860029 \tabularnewline
119 & -20.5 & 35.1594237334487 & -55.6594237334487 \tabularnewline
120 & -113.2 & 97.1911598712409 & -210.391159871241 \tabularnewline
121 & -65.2 & 0.856382651262178 & -66.0563826512622 \tabularnewline
122 & -3.9 & 180.952646209292 & -184.852646209292 \tabularnewline
123 & 9.1 & -84.7177105662386 & 93.8177105662386 \tabularnewline
124 & 23.2 & -30.7352470766857 & 53.9352470766857 \tabularnewline
125 & -39.1 & -54.3078242530463 & 15.2078242530463 \tabularnewline
126 & 12.5 & -134.307553264231 & 146.807553264231 \tabularnewline
127 & 49.1 & 120.292674310916 & -71.1926743109155 \tabularnewline
128 & 54.9 & -19.8172924257509 & 74.7172924257509 \tabularnewline
129 & 30.8 & -12.7822040576482 & 43.5822040576482 \tabularnewline
130 & -3.5 & -1.76582123097185 & -1.73417876902815 \tabularnewline
131 & -28.3 & 4.44457182777059 & -32.7445718277706 \tabularnewline
132 & -61 & -15.3907690631622 & -45.6092309368378 \tabularnewline
133 & -2 & -1.48369223647073 & -0.516307763529271 \tabularnewline
134 & 40 & 9.48655780752532 & 30.5134421924747 \tabularnewline
135 & 74 & -11.4689876534448 & 85.4689876534448 \tabularnewline
136 & 23.1 & 7.02092055420554 & 16.0790794457945 \tabularnewline
137 & -45.3 & 63.3137237551027 & -108.613723755103 \tabularnewline
138 & 17.5 & 81.9972305654594 & -64.4972305654594 \tabularnewline
139 & 25.8 & -100.060852291535 & 125.860852291535 \tabularnewline
140 & 15.2 & 44.8980958073349 & -29.6980958073349 \tabularnewline
141 & -3.6 & -361.013846926821 & 357.413846926821 \tabularnewline
142 & -40.5 & -9.09156068010033 & -31.4084393198997 \tabularnewline
143 & 11.5 & 28.8234334180832 & -17.3234334180832 \tabularnewline
144 & -59.8 & 70.3963863373803 & -130.19638633738 \tabularnewline
145 & 23.3 & 1.66142151892402 & 21.638578481076 \tabularnewline
146 & -27.8 & -60.1824145155397 & 32.3824145155398 \tabularnewline
147 & 55.7 & 42.1867681703582 & 13.5132318296418 \tabularnewline
148 & 22.7 & 16.1456219956623 & 6.55437800433765 \tabularnewline
149 & -79.2 & 63.2203136113098 & -142.42031361131 \tabularnewline
150 & 28.8 & 59.6657347724002 & -30.8657347724002 \tabularnewline
151 & 17.3 & -65.2773345614573 & 82.5773345614573 \tabularnewline
152 & 39.6 & 26.1468366177501 & 13.4531633822499 \tabularnewline
153 & -22.2 & -243.432437609604 & 221.232437609604 \tabularnewline
154 & -43 & -6.1466279408251 & -36.8533720591749 \tabularnewline
155 & -50.3 & 20.8430267119818 & -71.1430267119818 \tabularnewline
156 & -86.5 & -5.48277271553616 & -81.0172272844638 \tabularnewline
157 & -31.9 & -3.13561416275221 & -28.7643858372478 \tabularnewline
158 & 23.1 & 72.2994018550597 & -49.1994018550597 \tabularnewline
159 & 53.6 & -53.1244250380815 & 106.724425038082 \tabularnewline
160 & 21.6 & -7.60688457027315 & 29.2068845702732 \tabularnewline
161 & -64.2 & 2.16047063009061 & -66.3604706300906 \tabularnewline
162 & 35.2 & -105.833898908812 & 141.033898908812 \tabularnewline
163 & 52.1 & 81.2941686072089 & -29.1941686072089 \tabularnewline
164 & 40.6 & -66.7087287711676 & 107.308728771168 \tabularnewline
165 & 17.1 & 276.627078939859 & -259.527078939859 \tabularnewline
166 & -7.8 & 10.3623092300128 & -18.1623092300128 \tabularnewline
167 & -10 & -51.4514065633056 & 41.4514065633056 \tabularnewline
168 & -58 & -7.27878184511328 & -50.7212181548867 \tabularnewline
169 & 14 & -1.89604254506554 & 15.8960425450655 \tabularnewline
170 & 15.8 & -14.6947247593696 & 30.4947247593696 \tabularnewline
171 & 46 & 3.8275412333627 & 42.1724587666373 \tabularnewline
172 & -8.9 & 25.7994924233993 & -34.6994924233993 \tabularnewline
173 & -26.7 & 12.6720427364188 & -39.3720427364188 \tabularnewline
174 & 39 & 3.33020896852458 & 35.6697910314754 \tabularnewline
175 & -1.3 & -20.8566074708793 & 19.5566074708793 \tabularnewline
176 & 38.7 & 11.150672410063 & 27.549327589937 \tabularnewline
177 & 22.1 & -189.118672736475 & 211.218672736475 \tabularnewline
178 & -49.2 & -5.65181292343161 & -43.5481870765684 \tabularnewline
179 & -3.4 & 294.026301488095 & -297.426301488095 \tabularnewline
180 & -86.7 & 61.7027063498144 & -148.402706349814 \tabularnewline
181 & -24.3 & 1.70585804449125 & -26.0058580444912 \tabularnewline
182 & 42.8 & 13.4397027899406 & 29.3602972100594 \tabularnewline
183 & 44.9 & -27.005193184947 & 71.905193184947 \tabularnewline
184 & 4.4 & -5.96220673562199 & 10.362206735622 \tabularnewline
185 & -60.5 & 5.96008367138229 & -66.4600836713823 \tabularnewline
186 & 41.4 & 30.2813796414081 & 11.1186203585919 \tabularnewline
187 & 38.5 & -38.9377908682168 & 77.4377908682168 \tabularnewline
188 & 28.5 & 14.1909347698146 & 14.3090652301854 \tabularnewline
189 & 7.6 & -144.13879103379 & 151.73879103379 \tabularnewline
190 & -46.4 & -5.82667683704715 & -40.5733231629528 \tabularnewline
191 & 7 & 218.11395441506 & -211.11395441506 \tabularnewline
192 & -73 & 20.4986479167205 & -93.4986479167205 \tabularnewline
193 & 5.7 & -2.97582613736424 & 8.67582613736424 \tabularnewline
194 & 23.6 & 0.964045104654634 & 22.6359548953454 \tabularnewline
195 & 39.4 & -0.647886231122466 & 40.0478862311225 \tabularnewline
196 & 30.3 & 126.594724506275 & -96.2947245062748 \tabularnewline
197 & -92.5 & -369.026699918039 & 276.526699918039 \tabularnewline
198 & 77.8 & 459.203798564304 & -381.403798564304 \tabularnewline
199 & 12.4 & -245.772418814384 & 258.172418814384 \tabularnewline
200 & 28.9 & 234.608417998267 & -205.708417998267 \tabularnewline
201 & 6.4 & -1067.62484910605 & 1074.02484910605 \tabularnewline
202 & -12 & -52.2730865589538 & 40.2730865589538 \tabularnewline
203 & -9.1 & 326.486865496367 & -335.586865496367 \tabularnewline
204 & -53.2 & 48.9973083463629 & -102.197308346363 \tabularnewline
205 & -23.1 & -0.742514818598785 & -22.3574851814012 \tabularnewline
206 & 47.3 & -21.4306893084584 & 68.7306893084584 \tabularnewline
207 & 20.7 & -0.246208722995294 & 20.9462087229953 \tabularnewline
208 & 27.8 & 48.1193343848012 & -20.3193343848012 \tabularnewline
209 & -84.3 & -152.513536719557 & 68.2135367195572 \tabularnewline
210 & 62.8 & 201.525401323792 & -138.725401323792 \tabularnewline
211 & 26.4 & -105.534782820197 & 131.934782820197 \tabularnewline
212 & 32.3 & 87.6375724691624 & -55.3375724691624 \tabularnewline
213 & 13.3 & -394.502756353538 & 407.802756353538 \tabularnewline
214 & -17.9 & -17.0682709188032 & -0.831729081196833 \tabularnewline
215 & 10 & 118.39800490616 & -108.39800490616 \tabularnewline
216 & -45.6 & 9.66284606564304 & -55.262846065643 \tabularnewline
217 & 13.5 & 3.05391620351852 & 10.4460837964815 \tabularnewline
218 & 11.9 & -102.725000973632 & 114.625000973632 \tabularnewline
219 & 26 & -1.70202990111804 & 27.702029901118 \tabularnewline
220 & -6.3 & 41.495027730276 & -47.795027730276 \tabularnewline
221 & -79.9 & -98.3472333094443 & 18.4472333094443 \tabularnewline
222 & 54.2 & 138.817761976682 & -84.6177619766816 \tabularnewline
223 & 22.9 & -69.1635172964021 & 92.0635172964021 \tabularnewline
224 & 31.8 & 61.2687318151331 & -29.4687318151331 \tabularnewline
225 & 3.8 & -281.782834587709 & 285.582834587709 \tabularnewline
226 & -11.4 & -14.3761719749428 & 2.97617197494279 \tabularnewline
227 & -8.6 & 86.7094725967696 & -95.3094725967696 \tabularnewline
228 & -49.4 & 11.6207098455981 & -61.0207098455981 \tabularnewline
229 & -2.5 & 2.2427222699385 & -4.7427222699385 \tabularnewline
230 & 23 & -18.8000151129428 & 41.8000151129428 \tabularnewline
231 & 29 & -0.437848008181611 & 29.4378480081816 \tabularnewline
232 & 20.6 & 35.9563598475948 & -15.3563598475948 \tabularnewline
233 & -117 & -130.249341187216 & 13.2493411872157 \tabularnewline
234 & 37.9 & 185.221913911009 & -147.321913911009 \tabularnewline
235 & 30.7 & -78.1180594518827 & 108.818059451883 \tabularnewline
236 & 4.7 & 78.4043219738724 & -73.7043219738724 \tabularnewline
237 & -5.7 & -285.868083131246 & 280.168083131246 \tabularnewline
238 & 4.9 & -16.5711246161621 & 21.4711246161621 \tabularnewline
239 & 18.3 & 51.787865024333 & -33.487865024333 \tabularnewline
240 & -35.4 & 12.679751313927 & -48.079751313927 \tabularnewline
241 & -21.3 & 0.774279498402146 & -22.0742794984021 \tabularnewline
242 & 35.8 & 52.7611803814055 & -16.9611803814055 \tabularnewline
243 & 43.8 & 3.10387445501386 & 40.6961255449861 \tabularnewline
244 & 18.7 & 51.0029632601112 & -32.3029632601112 \tabularnewline
245 & -131.1 & -176.509832520568 & 45.4098325205684 \tabularnewline
246 & 39.8 & 222.755189475438 & -182.955189475438 \tabularnewline
247 & 44.5 & -83.3180727203841 & 127.818072720384 \tabularnewline
248 & 16.5 & 83.5662932961547 & -67.0662932961547 \tabularnewline
249 & 9.7 & -317.317795724964 & 327.017795724964 \tabularnewline
250 & -6.6 & -16.6301714614986 & 10.0301714614986 \tabularnewline
251 & 15.8 & 83.5282055086384 & -67.7282055086384 \tabularnewline
252 & -45.7 & 70.2932213284492 & -115.993221328449 \tabularnewline
253 & -4.8 & 0.138494399623778 & -4.93849439962378 \tabularnewline
254 & 17.6 & 3.28829522368735 & 14.3117047763126 \tabularnewline
255 & 20.5 & 0.155220430809417 & 20.3447795691906 \tabularnewline
256 & 24.2 & 15.8128842358831 & 8.3871157641169 \tabularnewline
257 & -109 & -78.9406996185781 & -30.0593003814219 \tabularnewline
258 & 20.8 & 111.481773894702 & -90.6817738947016 \tabularnewline
259 & 31.2 & -35.5611511685791 & 66.7611511685791 \tabularnewline
260 & -8.8 & 30.9536610776622 & -39.7536610776622 \tabularnewline
261 & 11.8 & -76.1144189297321 & 87.9144189297321 \tabularnewline
262 & 13 & -2.40109952723264 & 15.4010995272326 \tabularnewline
263 & 8.3 & -35.8473284959904 & 44.1473284959904 \tabularnewline
264 & -77.9 & -57.8881904444314 & -20.0118095555686 \tabularnewline
265 & -38.8 & 3.65098031649928 & -42.4509803164993 \tabularnewline
266 & 6.1 & 58.3396498572142 & -52.2396498572142 \tabularnewline
267 & 18.1 & 3.68902116755655 & 14.4109788324435 \tabularnewline
268 & 16.8 & 17.4511286659816 & -0.651128665981606 \tabularnewline
269 & -128.5 & -74.6744389692747 & -53.8255610307253 \tabularnewline
270 & 15.9 & 105.451985064661 & -89.5519850646612 \tabularnewline
271 & 29 & -25.4935206196004 & 54.4935206196004 \tabularnewline
272 & -7.2 & 22.3733538705356 & -29.5733538705356 \tabularnewline
273 & 3.3 & -55.6920777968346 & 58.9920777968346 \tabularnewline
274 & -34.8 & -3.30347575351476 & -31.4965242464852 \tabularnewline
275 & -2.9 & 47.8030506547156 & -50.7030506547156 \tabularnewline
276 & -77.8 & 40.3539898387709 & -118.153989838771 \tabularnewline
277 & -2.8 & 0.693191372853458 & -3.49319137285346 \tabularnewline
278 & 26.7 & -2.12612697156676 & 28.8261269715668 \tabularnewline
279 & 48.1 & 0.399125814847614 & 47.7008741851524 \tabularnewline
280 & 30 & 29.0760986283653 & 0.923901371634681 \tabularnewline
281 & -109.6 & -135.637093571579 & 26.0370935715789 \tabularnewline
282 & 16 & 132.30418087045 & -116.30418087045 \tabularnewline
283 & 26.9 & -20.2211710305414 & 47.1211710305414 \tabularnewline
284 & 22.1 & 21.5656648616564 & 0.534335138343586 \tabularnewline
285 & 27 & -108.964460198007 & 135.964460198007 \tabularnewline
286 & -24.5 & -10.910368670276 & -13.589631329724 \tabularnewline
287 & 12 & 40.4807296282479 & -28.4807296282479 \tabularnewline
288 & -75.2 & -29.1799943721184 & -46.0200056278816 \tabularnewline
289 & 3.5 & -4.16861003768255 & 7.66861003768255 \tabularnewline
290 & 19.7 & 0.795091808198424 & 18.9049081918016 \tabularnewline
291 & 51.8 & 0.157195871136948 & 51.642804128863 \tabularnewline
292 & 35.3 & 25.0481128512645 & 10.2518871487355 \tabularnewline
293 & -108.2 & -127.2960935966 & 19.0960935965996 \tabularnewline
294 & 25.3 & 116.58666020702 & -91.2866602070202 \tabularnewline
295 & 31.6 & -9.2334790471926 & 40.8334790471926 \tabularnewline
296 & 19.9 & -32.5257920658805 & 52.4257920658805 \tabularnewline
297 & 18.8 & 105.209915461317 & -86.4099154613172 \tabularnewline
298 & 20.4 & 25.8746549630341 & -5.47465496303414 \tabularnewline
299 & 15 & -86.2897959555808 & 101.289795955581 \tabularnewline
300 & -55.9 & 102.858381570094 & -158.758381570094 \tabularnewline
301 & -17 & 6.03809307193841 & -23.0380930719384 \tabularnewline
302 & 33.3 & 1.53259881709869 & 31.7674011829013 \tabularnewline
303 & 33.8 & 0.882044782432057 & 32.9179552175679 \tabularnewline
304 & 37.5 & 14.3535493284806 & 23.1464506715194 \tabularnewline
305 & -104.8 & -93.6977402185561 & -11.1022597814439 \tabularnewline
306 & 29.7 & 88.1763450506773 & -58.4763450506773 \tabularnewline
307 & 34.2 & -15.5369936380123 & 49.7369936380123 \tabularnewline
308 & 4.3 & -0.0669032603819073 & 4.36690326038191 \tabularnewline
309 & 40.2 & 4.37945347873286 & 35.8205465212671 \tabularnewline
310 & -29.3 & 7.41018261905831 & -36.7101826190583 \tabularnewline
311 & -0.2 & 3.49359564051941 & -3.69359564051941 \tabularnewline
312 & -95 & 4.69077338466291 & -99.6907733846629 \tabularnewline
313 & -13.2 & -6.20610293951571 & -6.99389706048428 \tabularnewline
314 & 38.5 & 16.7415869602958 & 21.7584130397042 \tabularnewline
315 & 45.4 & 2.15772498671535 & 43.2422750132846 \tabularnewline
316 & 15.7 & 17.9011190650009 & -2.20111906500086 \tabularnewline
317 & -123.6 & -70.2180495051551 & -53.3819504948449 \tabularnewline
318 & 12 & 72.9291756170509 & -60.9291756170509 \tabularnewline
319 & 37.5 & 58.9179247470176 & -21.4179247470176 \tabularnewline
320 & -31.7 & 49.6829391961358 & -81.3829391961358 \tabularnewline
321 & 15.8 & -129.777448284392 & 145.577448284392 \tabularnewline
322 & -64.1 & -31.3673079896208 & -32.7326920103792 \tabularnewline
323 & -42.1 & 52.5803520826486 & -94.6803520826487 \tabularnewline
324 & -207.4 & -37.0821779866678 & -170.317822013332 \tabularnewline
325 & -12.9 & -21.1562674100178 & 8.25626741001781 \tabularnewline
326 & -5 & 41.3829144693956 & -46.3829144693956 \tabularnewline
327 & 53.9 & 2.63048124758474 & 51.2695187524153 \tabularnewline
328 & 19.7 & 17.3423955913661 & 2.35760440863392 \tabularnewline
329 & -94.6 & -76.6240969437325 & -17.9759030562675 \tabularnewline
330 & 36 & 60.5096039449478 & -24.5096039449478 \tabularnewline
331 & 51.3 & 60.0084084306205 & -8.7084084306205 \tabularnewline
332 & 17.4 & 43.2216189673981 & -25.8216189673981 \tabularnewline
333 & 27.8 & -216.389275199692 & 244.189275199692 \tabularnewline
334 & 1.3 & -66.7340631435794 & 68.0340631435794 \tabularnewline
335 & 3.6 & 39.5895706792678 & -35.9895706792678 \tabularnewline
336 & -97.9 & -75.7002907199742 & -22.1997092800258 \tabularnewline
337 & 14.1 & -15.4122211469848 & 29.5122211469848 \tabularnewline
338 & 50.8 & 7.08410300145316 & 43.7158969985468 \tabularnewline
339 & 63.5 & 2.26156161592158 & 61.2384383840784 \tabularnewline
340 & 58.6 & 16.5559003266708 & 42.0440996733292 \tabularnewline
341 & -135.1 & -126.265425095898 & -8.83457490410176 \tabularnewline
342 & 7.8 & 91.5184426452859 & -83.7184426452859 \tabularnewline
343 & 25.5 & 76.6800245520832 & -51.1800245520832 \tabularnewline
344 & 29.6 & 43.8179942622999 & -14.2179942622999 \tabularnewline
345 & 19.3 & -222.80271854163 & 242.10271854163 \tabularnewline
346 & -26.2 & -70.997693447109 & 44.797693447109 \tabularnewline
347 & 7.3 & 50.9947804694121 & -43.6947804694121 \tabularnewline
348 & -82.6 & -115.37163076851 & 32.7716307685098 \tabularnewline
349 & -26.1 & -13.2899178009238 & -12.8100821990762 \tabularnewline
350 & 55.3 & 56.7777655300698 & -1.47776553006979 \tabularnewline
351 & 98.8 & 8.33400921134617 & 90.4659907886538 \tabularnewline
352 & 41.7 & 26.037836849085 & 15.662163150915 \tabularnewline
353 & -130.2 & -119.897029301412 & -10.3029706985875 \tabularnewline
354 & 51.2 & 78.3635695677023 & -27.1635695677023 \tabularnewline
355 & 18.4 & 83.6603715149597 & -65.2603715149597 \tabularnewline
356 & 32 & 47.206717870992 & -15.206717870992 \tabularnewline
357 & 21.6 & -217.658007399134 & 239.258007399134 \tabularnewline
358 & -12.5 & -72.9743202045835 & 60.4743202045835 \tabularnewline
359 & 46.6 & 46.1550087751224 & 0.444991224877619 \tabularnewline
360 & -101.7 & -154.752144690295 & 53.0521446902953 \tabularnewline
361 & 15.8 & -19.535957227499 & 35.3359572274991 \tabularnewline
362 & 26 & 19.7194445072004 & 6.28055549279962 \tabularnewline
363 & 79.1 & 2.03078207749074 & 77.0692179225093 \tabularnewline
364 & 23.1 & 15.5549153402302 & 7.54508465976983 \tabularnewline
365 & -86.9 & -65.1166531521134 & -21.7833468478866 \tabularnewline
366 & -11.2 & 42.9665810080012 & -54.1665810080012 \tabularnewline
367 & 50.7 & 28.4227185289928 & 22.2772814710072 \tabularnewline
368 & 13.4 & 26.4982675618773 & -13.0982675618773 \tabularnewline
369 & 33.7 & -101.132971180937 & 134.832971180937 \tabularnewline
370 & -16.9 & -29.3413870424977 & 12.4413870424977 \tabularnewline
371 & -9.6 & 21.6460223657366 & -31.2460223657366 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147112&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]-47.9[/C][C]-30.4120816087394[/C][C]-17.4879183912606[/C][/ROW]
[ROW][C]14[/C][C]9.1[/C][C]8.4413897520431[/C][C]0.658610247956904[/C][/ROW]
[ROW][C]15[/C][C]10.6[/C][C]10.0734329029363[/C][C]0.526567097063669[/C][/ROW]
[ROW][C]16[/C][C]-23.9[/C][C]-25.4155127019956[/C][C]1.51551270199564[/C][/ROW]
[ROW][C]17[/C][C]-45[/C][C]-60.242225742438[/C][C]15.242225742438[/C][/ROW]
[ROW][C]18[/C][C]-42.2[/C][C]-54.0153828411753[/C][C]11.8153828411753[/C][/ROW]
[ROW][C]19[/C][C]43.2[/C][C]52.8465787231767[/C][C]-9.64657872317673[/C][/ROW]
[ROW][C]20[/C][C]32.1[/C][C]50.619116759292[/C][C]-18.519116759292[/C][/ROW]
[ROW][C]21[/C][C]-15.3[/C][C]73.4731751526066[/C][C]-88.7731751526066[/C][/ROW]
[ROW][C]22[/C][C]21.8[/C][C]-29.5003768868698[/C][C]51.3003768868698[/C][/ROW]
[ROW][C]23[/C][C]-12[/C][C]-6.13827065088016[/C][C]-5.86172934911984[/C][/ROW]
[ROW][C]24[/C][C]-95.8[/C][C]-30.3475438289514[/C][C]-65.4524561710486[/C][/ROW]
[ROW][C]25[/C][C]-14.3[/C][C]-30.5381255679851[/C][C]16.2381255679851[/C][/ROW]
[ROW][C]26[/C][C]47.8[/C][C]5.33241624495922[/C][C]42.4675837550408[/C][/ROW]
[ROW][C]27[/C][C]64.8[/C][C]20.5002985645949[/C][C]44.2997014354051[/C][/ROW]
[ROW][C]28[/C][C]40.2[/C][C]-82.4565323345569[/C][C]122.656532334557[/C][/ROW]
[ROW][C]29[/C][C]-28.8[/C][C]-105.540975997803[/C][C]76.7409759978027[/C][/ROW]
[ROW][C]30[/C][C]23.5[/C][C]-77.4303936000867[/C][C]100.930393600087[/C][/ROW]
[ROW][C]31[/C][C]70.3[/C][C]46.0756540903265[/C][C]24.2243459096735[/C][/ROW]
[ROW][C]32[/C][C]12.3[/C][C]50.5494947621212[/C][C]-38.2494947621212[/C][/ROW]
[ROW][C]33[/C][C]43.5[/C][C]53.0159703790818[/C][C]-9.51597037908182[/C][/ROW]
[ROW][C]34[/C][C]-30.1[/C][C]-25.8874546675479[/C][C]-4.21254533245209[/C][/ROW]
[ROW][C]35[/C][C]-5.3[/C][C]-17.4715435894128[/C][C]12.1715435894128[/C][/ROW]
[ROW][C]36[/C][C]-24[/C][C]-53.9088243227109[/C][C]29.9088243227109[/C][/ROW]
[ROW][C]37[/C][C]11.1[/C][C]-21.49781124742[/C][C]32.59781124742[/C][/ROW]
[ROW][C]38[/C][C]21.5[/C][C]2.1805734380317[/C][C]19.3194265619683[/C][/ROW]
[ROW][C]39[/C][C]38.5[/C][C]7.72127759072297[/C][C]30.778722409277[/C][/ROW]
[ROW][C]40[/C][C]16.8[/C][C]-29.7197563512674[/C][C]46.5197563512674[/C][/ROW]
[ROW][C]41[/C][C]-36.2[/C][C]-39.4120017163466[/C][C]3.21200171634656[/C][/ROW]
[ROW][C]42[/C][C]6[/C][C]-31.2197796625399[/C][C]37.2197796625399[/C][/ROW]
[ROW][C]43[/C][C]26.6[/C][C]22.0859750745947[/C][C]4.51402492540535[/C][/ROW]
[ROW][C]44[/C][C]-8[/C][C]18.434705480439[/C][C]-26.434705480439[/C][/ROW]
[ROW][C]45[/C][C]13.2[/C][C]12.0843874443768[/C][C]1.11561255562319[/C][/ROW]
[ROW][C]46[/C][C]-23.6[/C][C]-4.96398029742739[/C][C]-18.6360197025726[/C][/ROW]
[ROW][C]47[/C][C]19.4[/C][C]-5.69700581225903[/C][C]25.097005812259[/C][/ROW]
[ROW][C]48[/C][C]-46.2[/C][C]13.9727471703065[/C][C]-60.1727471703065[/C][/ROW]
[ROW][C]49[/C][C]-8.2[/C][C]0.181058709976054[/C][C]-8.38105870997605[/C][/ROW]
[ROW][C]50[/C][C]33.8[/C][C]0.217829997264749[/C][C]33.5821700027352[/C][/ROW]
[ROW][C]51[/C][C]16.6[/C][C]10.2008771924069[/C][C]6.3991228075931[/C][/ROW]
[ROW][C]52[/C][C]5.4[/C][C]-14.9881784812793[/C][C]20.3881784812793[/C][/ROW]
[ROW][C]53[/C][C]-25[/C][C]-28.2129215185382[/C][C]3.21292151853819[/C][/ROW]
[ROW][C]54[/C][C]-5.3[/C][C]-19.6488803447849[/C][C]14.3488803447849[/C][/ROW]
[ROW][C]55[/C][C]16.7[/C][C]20.7592467704051[/C][C]-4.05924677040515[/C][/ROW]
[ROW][C]56[/C][C]19[/C][C]12.9986752181592[/C][C]6.00132478184078[/C][/ROW]
[ROW][C]57[/C][C]24.8[/C][C]25.9488985076106[/C][C]-1.14889850761056[/C][/ROW]
[ROW][C]58[/C][C]-11.4[/C][C]-15.1769056223566[/C][C]3.77690562235659[/C][/ROW]
[ROW][C]59[/C][C]4.9[/C][C]-14.4496366001427[/C][C]19.3496366001427[/C][/ROW]
[ROW][C]60[/C][C]-58.7[/C][C]-32.8981686019982[/C][C]-25.8018313980018[/C][/ROW]
[ROW][C]61[/C][C]16.8[/C][C]-10.0266786526769[/C][C]26.8266786526769[/C][/ROW]
[ROW][C]62[/C][C]13.6[/C][C]0.0360069872585265[/C][C]13.5639930127415[/C][/ROW]
[ROW][C]63[/C][C]6.4[/C][C]3.09795269597193[/C][C]3.30204730402807[/C][/ROW]
[ROW][C]64[/C][C]22.8[/C][C]-3.80161659462328[/C][C]26.6016165946233[/C][/ROW]
[ROW][C]65[/C][C]-19.6[/C][C]19.0593682569079[/C][C]-38.6593682569079[/C][/ROW]
[ROW][C]66[/C][C]2.2[/C][C]6.59846588675059[/C][C]-4.39846588675059[/C][/ROW]
[ROW][C]67[/C][C]19.8[/C][C]-9.79587473716001[/C][C]29.59587473716[/C][/ROW]
[ROW][C]68[/C][C]-10.7[/C][C]-1.4988650367342[/C][C]-9.2011349632658[/C][/ROW]
[ROW][C]69[/C][C]4.7[/C][C]-9.32838212081424[/C][C]14.0283821208142[/C][/ROW]
[ROW][C]70[/C][C]-44.5[/C][C]3.96126183021073[/C][C]-48.4612618302107[/C][/ROW]
[ROW][C]71[/C][C]-34.7[/C][C]-10.1814319988908[/C][C]-24.5185680011092[/C][/ROW]
[ROW][C]72[/C][C]-119.7[/C][C]-101.15079017274[/C][C]-18.5492098272597[/C][/ROW]
[ROW][C]73[/C][C]-42.2[/C][C]-1.5182251078619[/C][C]-40.6817748921381[/C][/ROW]
[ROW][C]74[/C][C]-5.4[/C][C]130.856239442664[/C][C]-136.256239442664[/C][/ROW]
[ROW][C]75[/C][C]19.1[/C][C]67.4645954274395[/C][C]-48.3645954274395[/C][/ROW]
[ROW][C]76[/C][C]18.8[/C][C]-74.1727139782314[/C][C]92.9727139782314[/C][/ROW]
[ROW][C]77[/C][C]-2.3[/C][C]-79.6984475493762[/C][C]77.3984475493762[/C][/ROW]
[ROW][C]78[/C][C]0.2[/C][C]-57.6661914513699[/C][C]57.8661914513699[/C][/ROW]
[ROW][C]79[/C][C]20.9[/C][C]-77.5796133545035[/C][C]98.4796133545034[/C][/ROW]
[ROW][C]80[/C][C]3.7[/C][C]28.7239734872321[/C][C]-25.0239734872321[/C][/ROW]
[ROW][C]81[/C][C]50.4[/C][C]21.3886931841371[/C][C]29.0113068158629[/C][/ROW]
[ROW][C]82[/C][C]-18.6[/C][C]-25.8538686803363[/C][C]7.25386868033626[/C][/ROW]
[ROW][C]83[/C][C]10.6[/C][C]-15.1729971652905[/C][C]25.7729971652905[/C][/ROW]
[ROW][C]84[/C][C]-66[/C][C]-19.0289078909955[/C][C]-46.9710921090045[/C][/ROW]
[ROW][C]85[/C][C]10[/C][C]-0.263870496310127[/C][C]10.2638704963101[/C][/ROW]
[ROW][C]86[/C][C]27.2[/C][C]-21.8104528070873[/C][C]49.0104528070873[/C][/ROW]
[ROW][C]87[/C][C]13.5[/C][C]-6.75715186651263[/C][C]20.2571518665126[/C][/ROW]
[ROW][C]88[/C][C]47.2[/C][C]2.01137500346301[/C][C]45.188624996537[/C][/ROW]
[ROW][C]89[/C][C]-20.3[/C][C]31.4607641710409[/C][C]-51.7607641710409[/C][/ROW]
[ROW][C]90[/C][C]23.1[/C][C]18.7782477613483[/C][C]4.32175223865168[/C][/ROW]
[ROW][C]91[/C][C]12.6[/C][C]43.0906201296581[/C][C]-30.4906201296581[/C][/ROW]
[ROW][C]92[/C][C]19.8[/C][C]-27.2551529626739[/C][C]47.0551529626739[/C][/ROW]
[ROW][C]93[/C][C]5.4[/C][C]-21.31809027903[/C][C]26.71809027903[/C][/ROW]
[ROW][C]94[/C][C]-25.2[/C][C]13.5864749080434[/C][C]-38.7864749080434[/C][/ROW]
[ROW][C]95[/C][C]-6.5[/C][C]1.45638491742723[/C][C]-7.95638491742723[/C][/ROW]
[ROW][C]96[/C][C]-46.5[/C][C]-6.20810502748732[/C][C]-40.2918949725127[/C][/ROW]
[ROW][C]97[/C][C]-2.6[/C][C]-0.344966887551302[/C][C]-2.2550331124487[/C][/ROW]
[ROW][C]98[/C][C]-0.3[/C][C]2.92561557710233[/C][C]-3.22561557710233[/C][/ROW]
[ROW][C]99[/C][C]38.5[/C][C]-3.15887438963475[/C][C]41.6588743896348[/C][/ROW]
[ROW][C]100[/C][C]-8.9[/C][C]13.8827424044595[/C][C]-22.7827424044595[/C][/ROW]
[ROW][C]101[/C][C]-38[/C][C]8.6901070090683[/C][C]-46.6901070090683[/C][/ROW]
[ROW][C]102[/C][C]19.5[/C][C]-7.72230032056034[/C][C]27.2223003205603[/C][/ROW]
[ROW][C]103[/C][C]51.7[/C][C]0.886241875207835[/C][C]50.8137581247922[/C][/ROW]
[ROW][C]104[/C][C]19.4[/C][C]-10.0275469775641[/C][C]29.4275469775641[/C][/ROW]
[ROW][C]105[/C][C]18.2[/C][C]-2.02358654247354[/C][C]20.2235865424735[/C][/ROW]
[ROW][C]106[/C][C]-50.8[/C][C]1.86743588391513[/C][C]-52.6674358839151[/C][/ROW]
[ROW][C]107[/C][C]-6.1[/C][C]36.730425034759[/C][C]-42.830425034759[/C][/ROW]
[ROW][C]108[/C][C]-54.6[/C][C]134.60923273367[/C][C]-189.20923273367[/C][/ROW]
[ROW][C]109[/C][C]12.1[/C][C]1.49803678760575[/C][C]10.6019632123942[/C][/ROW]
[ROW][C]110[/C][C]26.3[/C][C]-10.3367112370036[/C][C]36.6367112370036[/C][/ROW]
[ROW][C]111[/C][C]19.5[/C][C]-2.10962383696903[/C][C]21.609623836969[/C][/ROW]
[ROW][C]112[/C][C]-0.8[/C][C]3.45130777597965[/C][C]-4.25130777597965[/C][/ROW]
[ROW][C]113[/C][C]-49.6[/C][C]4.79624186873[/C][C]-54.39624186873[/C][/ROW]
[ROW][C]114[/C][C]28.8[/C][C]-57.6649515126059[/C][C]86.4649515126059[/C][/ROW]
[ROW][C]115[/C][C]31.7[/C][C]-14.8392039750798[/C][C]46.5392039750798[/C][/ROW]
[ROW][C]116[/C][C]2.3[/C][C]-0.562523528023011[/C][C]2.86252352802301[/C][/ROW]
[ROW][C]117[/C][C]3.8[/C][C]-0.33853176630002[/C][C]4.13853176630002[/C][/ROW]
[ROW][C]118[/C][C]-66.2[/C][C]0.609566686002909[/C][C]-66.8095666860029[/C][/ROW]
[ROW][C]119[/C][C]-20.5[/C][C]35.1594237334487[/C][C]-55.6594237334487[/C][/ROW]
[ROW][C]120[/C][C]-113.2[/C][C]97.1911598712409[/C][C]-210.391159871241[/C][/ROW]
[ROW][C]121[/C][C]-65.2[/C][C]0.856382651262178[/C][C]-66.0563826512622[/C][/ROW]
[ROW][C]122[/C][C]-3.9[/C][C]180.952646209292[/C][C]-184.852646209292[/C][/ROW]
[ROW][C]123[/C][C]9.1[/C][C]-84.7177105662386[/C][C]93.8177105662386[/C][/ROW]
[ROW][C]124[/C][C]23.2[/C][C]-30.7352470766857[/C][C]53.9352470766857[/C][/ROW]
[ROW][C]125[/C][C]-39.1[/C][C]-54.3078242530463[/C][C]15.2078242530463[/C][/ROW]
[ROW][C]126[/C][C]12.5[/C][C]-134.307553264231[/C][C]146.807553264231[/C][/ROW]
[ROW][C]127[/C][C]49.1[/C][C]120.292674310916[/C][C]-71.1926743109155[/C][/ROW]
[ROW][C]128[/C][C]54.9[/C][C]-19.8172924257509[/C][C]74.7172924257509[/C][/ROW]
[ROW][C]129[/C][C]30.8[/C][C]-12.7822040576482[/C][C]43.5822040576482[/C][/ROW]
[ROW][C]130[/C][C]-3.5[/C][C]-1.76582123097185[/C][C]-1.73417876902815[/C][/ROW]
[ROW][C]131[/C][C]-28.3[/C][C]4.44457182777059[/C][C]-32.7445718277706[/C][/ROW]
[ROW][C]132[/C][C]-61[/C][C]-15.3907690631622[/C][C]-45.6092309368378[/C][/ROW]
[ROW][C]133[/C][C]-2[/C][C]-1.48369223647073[/C][C]-0.516307763529271[/C][/ROW]
[ROW][C]134[/C][C]40[/C][C]9.48655780752532[/C][C]30.5134421924747[/C][/ROW]
[ROW][C]135[/C][C]74[/C][C]-11.4689876534448[/C][C]85.4689876534448[/C][/ROW]
[ROW][C]136[/C][C]23.1[/C][C]7.02092055420554[/C][C]16.0790794457945[/C][/ROW]
[ROW][C]137[/C][C]-45.3[/C][C]63.3137237551027[/C][C]-108.613723755103[/C][/ROW]
[ROW][C]138[/C][C]17.5[/C][C]81.9972305654594[/C][C]-64.4972305654594[/C][/ROW]
[ROW][C]139[/C][C]25.8[/C][C]-100.060852291535[/C][C]125.860852291535[/C][/ROW]
[ROW][C]140[/C][C]15.2[/C][C]44.8980958073349[/C][C]-29.6980958073349[/C][/ROW]
[ROW][C]141[/C][C]-3.6[/C][C]-361.013846926821[/C][C]357.413846926821[/C][/ROW]
[ROW][C]142[/C][C]-40.5[/C][C]-9.09156068010033[/C][C]-31.4084393198997[/C][/ROW]
[ROW][C]143[/C][C]11.5[/C][C]28.8234334180832[/C][C]-17.3234334180832[/C][/ROW]
[ROW][C]144[/C][C]-59.8[/C][C]70.3963863373803[/C][C]-130.19638633738[/C][/ROW]
[ROW][C]145[/C][C]23.3[/C][C]1.66142151892402[/C][C]21.638578481076[/C][/ROW]
[ROW][C]146[/C][C]-27.8[/C][C]-60.1824145155397[/C][C]32.3824145155398[/C][/ROW]
[ROW][C]147[/C][C]55.7[/C][C]42.1867681703582[/C][C]13.5132318296418[/C][/ROW]
[ROW][C]148[/C][C]22.7[/C][C]16.1456219956623[/C][C]6.55437800433765[/C][/ROW]
[ROW][C]149[/C][C]-79.2[/C][C]63.2203136113098[/C][C]-142.42031361131[/C][/ROW]
[ROW][C]150[/C][C]28.8[/C][C]59.6657347724002[/C][C]-30.8657347724002[/C][/ROW]
[ROW][C]151[/C][C]17.3[/C][C]-65.2773345614573[/C][C]82.5773345614573[/C][/ROW]
[ROW][C]152[/C][C]39.6[/C][C]26.1468366177501[/C][C]13.4531633822499[/C][/ROW]
[ROW][C]153[/C][C]-22.2[/C][C]-243.432437609604[/C][C]221.232437609604[/C][/ROW]
[ROW][C]154[/C][C]-43[/C][C]-6.1466279408251[/C][C]-36.8533720591749[/C][/ROW]
[ROW][C]155[/C][C]-50.3[/C][C]20.8430267119818[/C][C]-71.1430267119818[/C][/ROW]
[ROW][C]156[/C][C]-86.5[/C][C]-5.48277271553616[/C][C]-81.0172272844638[/C][/ROW]
[ROW][C]157[/C][C]-31.9[/C][C]-3.13561416275221[/C][C]-28.7643858372478[/C][/ROW]
[ROW][C]158[/C][C]23.1[/C][C]72.2994018550597[/C][C]-49.1994018550597[/C][/ROW]
[ROW][C]159[/C][C]53.6[/C][C]-53.1244250380815[/C][C]106.724425038082[/C][/ROW]
[ROW][C]160[/C][C]21.6[/C][C]-7.60688457027315[/C][C]29.2068845702732[/C][/ROW]
[ROW][C]161[/C][C]-64.2[/C][C]2.16047063009061[/C][C]-66.3604706300906[/C][/ROW]
[ROW][C]162[/C][C]35.2[/C][C]-105.833898908812[/C][C]141.033898908812[/C][/ROW]
[ROW][C]163[/C][C]52.1[/C][C]81.2941686072089[/C][C]-29.1941686072089[/C][/ROW]
[ROW][C]164[/C][C]40.6[/C][C]-66.7087287711676[/C][C]107.308728771168[/C][/ROW]
[ROW][C]165[/C][C]17.1[/C][C]276.627078939859[/C][C]-259.527078939859[/C][/ROW]
[ROW][C]166[/C][C]-7.8[/C][C]10.3623092300128[/C][C]-18.1623092300128[/C][/ROW]
[ROW][C]167[/C][C]-10[/C][C]-51.4514065633056[/C][C]41.4514065633056[/C][/ROW]
[ROW][C]168[/C][C]-58[/C][C]-7.27878184511328[/C][C]-50.7212181548867[/C][/ROW]
[ROW][C]169[/C][C]14[/C][C]-1.89604254506554[/C][C]15.8960425450655[/C][/ROW]
[ROW][C]170[/C][C]15.8[/C][C]-14.6947247593696[/C][C]30.4947247593696[/C][/ROW]
[ROW][C]171[/C][C]46[/C][C]3.8275412333627[/C][C]42.1724587666373[/C][/ROW]
[ROW][C]172[/C][C]-8.9[/C][C]25.7994924233993[/C][C]-34.6994924233993[/C][/ROW]
[ROW][C]173[/C][C]-26.7[/C][C]12.6720427364188[/C][C]-39.3720427364188[/C][/ROW]
[ROW][C]174[/C][C]39[/C][C]3.33020896852458[/C][C]35.6697910314754[/C][/ROW]
[ROW][C]175[/C][C]-1.3[/C][C]-20.8566074708793[/C][C]19.5566074708793[/C][/ROW]
[ROW][C]176[/C][C]38.7[/C][C]11.150672410063[/C][C]27.549327589937[/C][/ROW]
[ROW][C]177[/C][C]22.1[/C][C]-189.118672736475[/C][C]211.218672736475[/C][/ROW]
[ROW][C]178[/C][C]-49.2[/C][C]-5.65181292343161[/C][C]-43.5481870765684[/C][/ROW]
[ROW][C]179[/C][C]-3.4[/C][C]294.026301488095[/C][C]-297.426301488095[/C][/ROW]
[ROW][C]180[/C][C]-86.7[/C][C]61.7027063498144[/C][C]-148.402706349814[/C][/ROW]
[ROW][C]181[/C][C]-24.3[/C][C]1.70585804449125[/C][C]-26.0058580444912[/C][/ROW]
[ROW][C]182[/C][C]42.8[/C][C]13.4397027899406[/C][C]29.3602972100594[/C][/ROW]
[ROW][C]183[/C][C]44.9[/C][C]-27.005193184947[/C][C]71.905193184947[/C][/ROW]
[ROW][C]184[/C][C]4.4[/C][C]-5.96220673562199[/C][C]10.362206735622[/C][/ROW]
[ROW][C]185[/C][C]-60.5[/C][C]5.96008367138229[/C][C]-66.4600836713823[/C][/ROW]
[ROW][C]186[/C][C]41.4[/C][C]30.2813796414081[/C][C]11.1186203585919[/C][/ROW]
[ROW][C]187[/C][C]38.5[/C][C]-38.9377908682168[/C][C]77.4377908682168[/C][/ROW]
[ROW][C]188[/C][C]28.5[/C][C]14.1909347698146[/C][C]14.3090652301854[/C][/ROW]
[ROW][C]189[/C][C]7.6[/C][C]-144.13879103379[/C][C]151.73879103379[/C][/ROW]
[ROW][C]190[/C][C]-46.4[/C][C]-5.82667683704715[/C][C]-40.5733231629528[/C][/ROW]
[ROW][C]191[/C][C]7[/C][C]218.11395441506[/C][C]-211.11395441506[/C][/ROW]
[ROW][C]192[/C][C]-73[/C][C]20.4986479167205[/C][C]-93.4986479167205[/C][/ROW]
[ROW][C]193[/C][C]5.7[/C][C]-2.97582613736424[/C][C]8.67582613736424[/C][/ROW]
[ROW][C]194[/C][C]23.6[/C][C]0.964045104654634[/C][C]22.6359548953454[/C][/ROW]
[ROW][C]195[/C][C]39.4[/C][C]-0.647886231122466[/C][C]40.0478862311225[/C][/ROW]
[ROW][C]196[/C][C]30.3[/C][C]126.594724506275[/C][C]-96.2947245062748[/C][/ROW]
[ROW][C]197[/C][C]-92.5[/C][C]-369.026699918039[/C][C]276.526699918039[/C][/ROW]
[ROW][C]198[/C][C]77.8[/C][C]459.203798564304[/C][C]-381.403798564304[/C][/ROW]
[ROW][C]199[/C][C]12.4[/C][C]-245.772418814384[/C][C]258.172418814384[/C][/ROW]
[ROW][C]200[/C][C]28.9[/C][C]234.608417998267[/C][C]-205.708417998267[/C][/ROW]
[ROW][C]201[/C][C]6.4[/C][C]-1067.62484910605[/C][C]1074.02484910605[/C][/ROW]
[ROW][C]202[/C][C]-12[/C][C]-52.2730865589538[/C][C]40.2730865589538[/C][/ROW]
[ROW][C]203[/C][C]-9.1[/C][C]326.486865496367[/C][C]-335.586865496367[/C][/ROW]
[ROW][C]204[/C][C]-53.2[/C][C]48.9973083463629[/C][C]-102.197308346363[/C][/ROW]
[ROW][C]205[/C][C]-23.1[/C][C]-0.742514818598785[/C][C]-22.3574851814012[/C][/ROW]
[ROW][C]206[/C][C]47.3[/C][C]-21.4306893084584[/C][C]68.7306893084584[/C][/ROW]
[ROW][C]207[/C][C]20.7[/C][C]-0.246208722995294[/C][C]20.9462087229953[/C][/ROW]
[ROW][C]208[/C][C]27.8[/C][C]48.1193343848012[/C][C]-20.3193343848012[/C][/ROW]
[ROW][C]209[/C][C]-84.3[/C][C]-152.513536719557[/C][C]68.2135367195572[/C][/ROW]
[ROW][C]210[/C][C]62.8[/C][C]201.525401323792[/C][C]-138.725401323792[/C][/ROW]
[ROW][C]211[/C][C]26.4[/C][C]-105.534782820197[/C][C]131.934782820197[/C][/ROW]
[ROW][C]212[/C][C]32.3[/C][C]87.6375724691624[/C][C]-55.3375724691624[/C][/ROW]
[ROW][C]213[/C][C]13.3[/C][C]-394.502756353538[/C][C]407.802756353538[/C][/ROW]
[ROW][C]214[/C][C]-17.9[/C][C]-17.0682709188032[/C][C]-0.831729081196833[/C][/ROW]
[ROW][C]215[/C][C]10[/C][C]118.39800490616[/C][C]-108.39800490616[/C][/ROW]
[ROW][C]216[/C][C]-45.6[/C][C]9.66284606564304[/C][C]-55.262846065643[/C][/ROW]
[ROW][C]217[/C][C]13.5[/C][C]3.05391620351852[/C][C]10.4460837964815[/C][/ROW]
[ROW][C]218[/C][C]11.9[/C][C]-102.725000973632[/C][C]114.625000973632[/C][/ROW]
[ROW][C]219[/C][C]26[/C][C]-1.70202990111804[/C][C]27.702029901118[/C][/ROW]
[ROW][C]220[/C][C]-6.3[/C][C]41.495027730276[/C][C]-47.795027730276[/C][/ROW]
[ROW][C]221[/C][C]-79.9[/C][C]-98.3472333094443[/C][C]18.4472333094443[/C][/ROW]
[ROW][C]222[/C][C]54.2[/C][C]138.817761976682[/C][C]-84.6177619766816[/C][/ROW]
[ROW][C]223[/C][C]22.9[/C][C]-69.1635172964021[/C][C]92.0635172964021[/C][/ROW]
[ROW][C]224[/C][C]31.8[/C][C]61.2687318151331[/C][C]-29.4687318151331[/C][/ROW]
[ROW][C]225[/C][C]3.8[/C][C]-281.782834587709[/C][C]285.582834587709[/C][/ROW]
[ROW][C]226[/C][C]-11.4[/C][C]-14.3761719749428[/C][C]2.97617197494279[/C][/ROW]
[ROW][C]227[/C][C]-8.6[/C][C]86.7094725967696[/C][C]-95.3094725967696[/C][/ROW]
[ROW][C]228[/C][C]-49.4[/C][C]11.6207098455981[/C][C]-61.0207098455981[/C][/ROW]
[ROW][C]229[/C][C]-2.5[/C][C]2.2427222699385[/C][C]-4.7427222699385[/C][/ROW]
[ROW][C]230[/C][C]23[/C][C]-18.8000151129428[/C][C]41.8000151129428[/C][/ROW]
[ROW][C]231[/C][C]29[/C][C]-0.437848008181611[/C][C]29.4378480081816[/C][/ROW]
[ROW][C]232[/C][C]20.6[/C][C]35.9563598475948[/C][C]-15.3563598475948[/C][/ROW]
[ROW][C]233[/C][C]-117[/C][C]-130.249341187216[/C][C]13.2493411872157[/C][/ROW]
[ROW][C]234[/C][C]37.9[/C][C]185.221913911009[/C][C]-147.321913911009[/C][/ROW]
[ROW][C]235[/C][C]30.7[/C][C]-78.1180594518827[/C][C]108.818059451883[/C][/ROW]
[ROW][C]236[/C][C]4.7[/C][C]78.4043219738724[/C][C]-73.7043219738724[/C][/ROW]
[ROW][C]237[/C][C]-5.7[/C][C]-285.868083131246[/C][C]280.168083131246[/C][/ROW]
[ROW][C]238[/C][C]4.9[/C][C]-16.5711246161621[/C][C]21.4711246161621[/C][/ROW]
[ROW][C]239[/C][C]18.3[/C][C]51.787865024333[/C][C]-33.487865024333[/C][/ROW]
[ROW][C]240[/C][C]-35.4[/C][C]12.679751313927[/C][C]-48.079751313927[/C][/ROW]
[ROW][C]241[/C][C]-21.3[/C][C]0.774279498402146[/C][C]-22.0742794984021[/C][/ROW]
[ROW][C]242[/C][C]35.8[/C][C]52.7611803814055[/C][C]-16.9611803814055[/C][/ROW]
[ROW][C]243[/C][C]43.8[/C][C]3.10387445501386[/C][C]40.6961255449861[/C][/ROW]
[ROW][C]244[/C][C]18.7[/C][C]51.0029632601112[/C][C]-32.3029632601112[/C][/ROW]
[ROW][C]245[/C][C]-131.1[/C][C]-176.509832520568[/C][C]45.4098325205684[/C][/ROW]
[ROW][C]246[/C][C]39.8[/C][C]222.755189475438[/C][C]-182.955189475438[/C][/ROW]
[ROW][C]247[/C][C]44.5[/C][C]-83.3180727203841[/C][C]127.818072720384[/C][/ROW]
[ROW][C]248[/C][C]16.5[/C][C]83.5662932961547[/C][C]-67.0662932961547[/C][/ROW]
[ROW][C]249[/C][C]9.7[/C][C]-317.317795724964[/C][C]327.017795724964[/C][/ROW]
[ROW][C]250[/C][C]-6.6[/C][C]-16.6301714614986[/C][C]10.0301714614986[/C][/ROW]
[ROW][C]251[/C][C]15.8[/C][C]83.5282055086384[/C][C]-67.7282055086384[/C][/ROW]
[ROW][C]252[/C][C]-45.7[/C][C]70.2932213284492[/C][C]-115.993221328449[/C][/ROW]
[ROW][C]253[/C][C]-4.8[/C][C]0.138494399623778[/C][C]-4.93849439962378[/C][/ROW]
[ROW][C]254[/C][C]17.6[/C][C]3.28829522368735[/C][C]14.3117047763126[/C][/ROW]
[ROW][C]255[/C][C]20.5[/C][C]0.155220430809417[/C][C]20.3447795691906[/C][/ROW]
[ROW][C]256[/C][C]24.2[/C][C]15.8128842358831[/C][C]8.3871157641169[/C][/ROW]
[ROW][C]257[/C][C]-109[/C][C]-78.9406996185781[/C][C]-30.0593003814219[/C][/ROW]
[ROW][C]258[/C][C]20.8[/C][C]111.481773894702[/C][C]-90.6817738947016[/C][/ROW]
[ROW][C]259[/C][C]31.2[/C][C]-35.5611511685791[/C][C]66.7611511685791[/C][/ROW]
[ROW][C]260[/C][C]-8.8[/C][C]30.9536610776622[/C][C]-39.7536610776622[/C][/ROW]
[ROW][C]261[/C][C]11.8[/C][C]-76.1144189297321[/C][C]87.9144189297321[/C][/ROW]
[ROW][C]262[/C][C]13[/C][C]-2.40109952723264[/C][C]15.4010995272326[/C][/ROW]
[ROW][C]263[/C][C]8.3[/C][C]-35.8473284959904[/C][C]44.1473284959904[/C][/ROW]
[ROW][C]264[/C][C]-77.9[/C][C]-57.8881904444314[/C][C]-20.0118095555686[/C][/ROW]
[ROW][C]265[/C][C]-38.8[/C][C]3.65098031649928[/C][C]-42.4509803164993[/C][/ROW]
[ROW][C]266[/C][C]6.1[/C][C]58.3396498572142[/C][C]-52.2396498572142[/C][/ROW]
[ROW][C]267[/C][C]18.1[/C][C]3.68902116755655[/C][C]14.4109788324435[/C][/ROW]
[ROW][C]268[/C][C]16.8[/C][C]17.4511286659816[/C][C]-0.651128665981606[/C][/ROW]
[ROW][C]269[/C][C]-128.5[/C][C]-74.6744389692747[/C][C]-53.8255610307253[/C][/ROW]
[ROW][C]270[/C][C]15.9[/C][C]105.451985064661[/C][C]-89.5519850646612[/C][/ROW]
[ROW][C]271[/C][C]29[/C][C]-25.4935206196004[/C][C]54.4935206196004[/C][/ROW]
[ROW][C]272[/C][C]-7.2[/C][C]22.3733538705356[/C][C]-29.5733538705356[/C][/ROW]
[ROW][C]273[/C][C]3.3[/C][C]-55.6920777968346[/C][C]58.9920777968346[/C][/ROW]
[ROW][C]274[/C][C]-34.8[/C][C]-3.30347575351476[/C][C]-31.4965242464852[/C][/ROW]
[ROW][C]275[/C][C]-2.9[/C][C]47.8030506547156[/C][C]-50.7030506547156[/C][/ROW]
[ROW][C]276[/C][C]-77.8[/C][C]40.3539898387709[/C][C]-118.153989838771[/C][/ROW]
[ROW][C]277[/C][C]-2.8[/C][C]0.693191372853458[/C][C]-3.49319137285346[/C][/ROW]
[ROW][C]278[/C][C]26.7[/C][C]-2.12612697156676[/C][C]28.8261269715668[/C][/ROW]
[ROW][C]279[/C][C]48.1[/C][C]0.399125814847614[/C][C]47.7008741851524[/C][/ROW]
[ROW][C]280[/C][C]30[/C][C]29.0760986283653[/C][C]0.923901371634681[/C][/ROW]
[ROW][C]281[/C][C]-109.6[/C][C]-135.637093571579[/C][C]26.0370935715789[/C][/ROW]
[ROW][C]282[/C][C]16[/C][C]132.30418087045[/C][C]-116.30418087045[/C][/ROW]
[ROW][C]283[/C][C]26.9[/C][C]-20.2211710305414[/C][C]47.1211710305414[/C][/ROW]
[ROW][C]284[/C][C]22.1[/C][C]21.5656648616564[/C][C]0.534335138343586[/C][/ROW]
[ROW][C]285[/C][C]27[/C][C]-108.964460198007[/C][C]135.964460198007[/C][/ROW]
[ROW][C]286[/C][C]-24.5[/C][C]-10.910368670276[/C][C]-13.589631329724[/C][/ROW]
[ROW][C]287[/C][C]12[/C][C]40.4807296282479[/C][C]-28.4807296282479[/C][/ROW]
[ROW][C]288[/C][C]-75.2[/C][C]-29.1799943721184[/C][C]-46.0200056278816[/C][/ROW]
[ROW][C]289[/C][C]3.5[/C][C]-4.16861003768255[/C][C]7.66861003768255[/C][/ROW]
[ROW][C]290[/C][C]19.7[/C][C]0.795091808198424[/C][C]18.9049081918016[/C][/ROW]
[ROW][C]291[/C][C]51.8[/C][C]0.157195871136948[/C][C]51.642804128863[/C][/ROW]
[ROW][C]292[/C][C]35.3[/C][C]25.0481128512645[/C][C]10.2518871487355[/C][/ROW]
[ROW][C]293[/C][C]-108.2[/C][C]-127.2960935966[/C][C]19.0960935965996[/C][/ROW]
[ROW][C]294[/C][C]25.3[/C][C]116.58666020702[/C][C]-91.2866602070202[/C][/ROW]
[ROW][C]295[/C][C]31.6[/C][C]-9.2334790471926[/C][C]40.8334790471926[/C][/ROW]
[ROW][C]296[/C][C]19.9[/C][C]-32.5257920658805[/C][C]52.4257920658805[/C][/ROW]
[ROW][C]297[/C][C]18.8[/C][C]105.209915461317[/C][C]-86.4099154613172[/C][/ROW]
[ROW][C]298[/C][C]20.4[/C][C]25.8746549630341[/C][C]-5.47465496303414[/C][/ROW]
[ROW][C]299[/C][C]15[/C][C]-86.2897959555808[/C][C]101.289795955581[/C][/ROW]
[ROW][C]300[/C][C]-55.9[/C][C]102.858381570094[/C][C]-158.758381570094[/C][/ROW]
[ROW][C]301[/C][C]-17[/C][C]6.03809307193841[/C][C]-23.0380930719384[/C][/ROW]
[ROW][C]302[/C][C]33.3[/C][C]1.53259881709869[/C][C]31.7674011829013[/C][/ROW]
[ROW][C]303[/C][C]33.8[/C][C]0.882044782432057[/C][C]32.9179552175679[/C][/ROW]
[ROW][C]304[/C][C]37.5[/C][C]14.3535493284806[/C][C]23.1464506715194[/C][/ROW]
[ROW][C]305[/C][C]-104.8[/C][C]-93.6977402185561[/C][C]-11.1022597814439[/C][/ROW]
[ROW][C]306[/C][C]29.7[/C][C]88.1763450506773[/C][C]-58.4763450506773[/C][/ROW]
[ROW][C]307[/C][C]34.2[/C][C]-15.5369936380123[/C][C]49.7369936380123[/C][/ROW]
[ROW][C]308[/C][C]4.3[/C][C]-0.0669032603819073[/C][C]4.36690326038191[/C][/ROW]
[ROW][C]309[/C][C]40.2[/C][C]4.37945347873286[/C][C]35.8205465212671[/C][/ROW]
[ROW][C]310[/C][C]-29.3[/C][C]7.41018261905831[/C][C]-36.7101826190583[/C][/ROW]
[ROW][C]311[/C][C]-0.2[/C][C]3.49359564051941[/C][C]-3.69359564051941[/C][/ROW]
[ROW][C]312[/C][C]-95[/C][C]4.69077338466291[/C][C]-99.6907733846629[/C][/ROW]
[ROW][C]313[/C][C]-13.2[/C][C]-6.20610293951571[/C][C]-6.99389706048428[/C][/ROW]
[ROW][C]314[/C][C]38.5[/C][C]16.7415869602958[/C][C]21.7584130397042[/C][/ROW]
[ROW][C]315[/C][C]45.4[/C][C]2.15772498671535[/C][C]43.2422750132846[/C][/ROW]
[ROW][C]316[/C][C]15.7[/C][C]17.9011190650009[/C][C]-2.20111906500086[/C][/ROW]
[ROW][C]317[/C][C]-123.6[/C][C]-70.2180495051551[/C][C]-53.3819504948449[/C][/ROW]
[ROW][C]318[/C][C]12[/C][C]72.9291756170509[/C][C]-60.9291756170509[/C][/ROW]
[ROW][C]319[/C][C]37.5[/C][C]58.9179247470176[/C][C]-21.4179247470176[/C][/ROW]
[ROW][C]320[/C][C]-31.7[/C][C]49.6829391961358[/C][C]-81.3829391961358[/C][/ROW]
[ROW][C]321[/C][C]15.8[/C][C]-129.777448284392[/C][C]145.577448284392[/C][/ROW]
[ROW][C]322[/C][C]-64.1[/C][C]-31.3673079896208[/C][C]-32.7326920103792[/C][/ROW]
[ROW][C]323[/C][C]-42.1[/C][C]52.5803520826486[/C][C]-94.6803520826487[/C][/ROW]
[ROW][C]324[/C][C]-207.4[/C][C]-37.0821779866678[/C][C]-170.317822013332[/C][/ROW]
[ROW][C]325[/C][C]-12.9[/C][C]-21.1562674100178[/C][C]8.25626741001781[/C][/ROW]
[ROW][C]326[/C][C]-5[/C][C]41.3829144693956[/C][C]-46.3829144693956[/C][/ROW]
[ROW][C]327[/C][C]53.9[/C][C]2.63048124758474[/C][C]51.2695187524153[/C][/ROW]
[ROW][C]328[/C][C]19.7[/C][C]17.3423955913661[/C][C]2.35760440863392[/C][/ROW]
[ROW][C]329[/C][C]-94.6[/C][C]-76.6240969437325[/C][C]-17.9759030562675[/C][/ROW]
[ROW][C]330[/C][C]36[/C][C]60.5096039449478[/C][C]-24.5096039449478[/C][/ROW]
[ROW][C]331[/C][C]51.3[/C][C]60.0084084306205[/C][C]-8.7084084306205[/C][/ROW]
[ROW][C]332[/C][C]17.4[/C][C]43.2216189673981[/C][C]-25.8216189673981[/C][/ROW]
[ROW][C]333[/C][C]27.8[/C][C]-216.389275199692[/C][C]244.189275199692[/C][/ROW]
[ROW][C]334[/C][C]1.3[/C][C]-66.7340631435794[/C][C]68.0340631435794[/C][/ROW]
[ROW][C]335[/C][C]3.6[/C][C]39.5895706792678[/C][C]-35.9895706792678[/C][/ROW]
[ROW][C]336[/C][C]-97.9[/C][C]-75.7002907199742[/C][C]-22.1997092800258[/C][/ROW]
[ROW][C]337[/C][C]14.1[/C][C]-15.4122211469848[/C][C]29.5122211469848[/C][/ROW]
[ROW][C]338[/C][C]50.8[/C][C]7.08410300145316[/C][C]43.7158969985468[/C][/ROW]
[ROW][C]339[/C][C]63.5[/C][C]2.26156161592158[/C][C]61.2384383840784[/C][/ROW]
[ROW][C]340[/C][C]58.6[/C][C]16.5559003266708[/C][C]42.0440996733292[/C][/ROW]
[ROW][C]341[/C][C]-135.1[/C][C]-126.265425095898[/C][C]-8.83457490410176[/C][/ROW]
[ROW][C]342[/C][C]7.8[/C][C]91.5184426452859[/C][C]-83.7184426452859[/C][/ROW]
[ROW][C]343[/C][C]25.5[/C][C]76.6800245520832[/C][C]-51.1800245520832[/C][/ROW]
[ROW][C]344[/C][C]29.6[/C][C]43.8179942622999[/C][C]-14.2179942622999[/C][/ROW]
[ROW][C]345[/C][C]19.3[/C][C]-222.80271854163[/C][C]242.10271854163[/C][/ROW]
[ROW][C]346[/C][C]-26.2[/C][C]-70.997693447109[/C][C]44.797693447109[/C][/ROW]
[ROW][C]347[/C][C]7.3[/C][C]50.9947804694121[/C][C]-43.6947804694121[/C][/ROW]
[ROW][C]348[/C][C]-82.6[/C][C]-115.37163076851[/C][C]32.7716307685098[/C][/ROW]
[ROW][C]349[/C][C]-26.1[/C][C]-13.2899178009238[/C][C]-12.8100821990762[/C][/ROW]
[ROW][C]350[/C][C]55.3[/C][C]56.7777655300698[/C][C]-1.47776553006979[/C][/ROW]
[ROW][C]351[/C][C]98.8[/C][C]8.33400921134617[/C][C]90.4659907886538[/C][/ROW]
[ROW][C]352[/C][C]41.7[/C][C]26.037836849085[/C][C]15.662163150915[/C][/ROW]
[ROW][C]353[/C][C]-130.2[/C][C]-119.897029301412[/C][C]-10.3029706985875[/C][/ROW]
[ROW][C]354[/C][C]51.2[/C][C]78.3635695677023[/C][C]-27.1635695677023[/C][/ROW]
[ROW][C]355[/C][C]18.4[/C][C]83.6603715149597[/C][C]-65.2603715149597[/C][/ROW]
[ROW][C]356[/C][C]32[/C][C]47.206717870992[/C][C]-15.206717870992[/C][/ROW]
[ROW][C]357[/C][C]21.6[/C][C]-217.658007399134[/C][C]239.258007399134[/C][/ROW]
[ROW][C]358[/C][C]-12.5[/C][C]-72.9743202045835[/C][C]60.4743202045835[/C][/ROW]
[ROW][C]359[/C][C]46.6[/C][C]46.1550087751224[/C][C]0.444991224877619[/C][/ROW]
[ROW][C]360[/C][C]-101.7[/C][C]-154.752144690295[/C][C]53.0521446902953[/C][/ROW]
[ROW][C]361[/C][C]15.8[/C][C]-19.535957227499[/C][C]35.3359572274991[/C][/ROW]
[ROW][C]362[/C][C]26[/C][C]19.7194445072004[/C][C]6.28055549279962[/C][/ROW]
[ROW][C]363[/C][C]79.1[/C][C]2.03078207749074[/C][C]77.0692179225093[/C][/ROW]
[ROW][C]364[/C][C]23.1[/C][C]15.5549153402302[/C][C]7.54508465976983[/C][/ROW]
[ROW][C]365[/C][C]-86.9[/C][C]-65.1166531521134[/C][C]-21.7833468478866[/C][/ROW]
[ROW][C]366[/C][C]-11.2[/C][C]42.9665810080012[/C][C]-54.1665810080012[/C][/ROW]
[ROW][C]367[/C][C]50.7[/C][C]28.4227185289928[/C][C]22.2772814710072[/C][/ROW]
[ROW][C]368[/C][C]13.4[/C][C]26.4982675618773[/C][C]-13.0982675618773[/C][/ROW]
[ROW][C]369[/C][C]33.7[/C][C]-101.132971180937[/C][C]134.832971180937[/C][/ROW]
[ROW][C]370[/C][C]-16.9[/C][C]-29.3413870424977[/C][C]12.4413870424977[/C][/ROW]
[ROW][C]371[/C][C]-9.6[/C][C]21.6460223657366[/C][C]-31.2460223657366[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147112&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147112&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	-47.9	-30.4120816087394	-17.4879183912606
14	9.1	8.4413897520431	0.658610247956904
15	10.6	10.0734329029363	0.526567097063669
16	-23.9	-25.4155127019956	1.51551270199564
17	-45	-60.242225742438	15.242225742438
18	-42.2	-54.0153828411753	11.8153828411753
19	43.2	52.8465787231767	-9.64657872317673
20	32.1	50.619116759292	-18.519116759292
21	-15.3	73.4731751526066	-88.7731751526066
22	21.8	-29.5003768868698	51.3003768868698
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24	-95.8	-30.3475438289514	-65.4524561710486
25	-14.3	-30.5381255679851	16.2381255679851
26	47.8	5.33241624495922	42.4675837550408
27	64.8	20.5002985645949	44.2997014354051
28	40.2	-82.4565323345569	122.656532334557
29	-28.8	-105.540975997803	76.7409759978027
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31	70.3	46.0756540903265	24.2243459096735
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33	43.5	53.0159703790818	-9.51597037908182
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36	-24	-53.9088243227109	29.9088243227109
37	11.1	-21.49781124742	32.59781124742
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39	38.5	7.72127759072297	30.778722409277
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41	-36.2	-39.4120017163466	3.21200171634656
42	6	-31.2197796625399	37.2197796625399
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53	-25	-28.2129215185382	3.21292151853819
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77	-2.3	-79.6984475493762	77.3984475493762
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112	-0.8	3.45130777597965	-4.25130777597965
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128	54.9	-19.8172924257509	74.7172924257509
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134	40	9.48655780752532	30.5134421924747
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282	16	132.30418087045	-116.30418087045
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326	-5	41.3829144693956	-46.3829144693956
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330	36	60.5096039449478	-24.5096039449478
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338	50.8	7.08410300145316	43.7158969985468
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342	7.8	91.5184426452859	-83.7184426452859
343	25.5	76.6800245520832	-51.1800245520832
344	29.6	43.8179942622999	-14.2179942622999
345	19.3	-222.80271854163	242.10271854163
346	-26.2	-70.997693447109	44.797693447109
347	7.3	50.9947804694121	-43.6947804694121
348	-82.6	-115.37163076851	32.7716307685098
349	-26.1	-13.2899178009238	-12.8100821990762
350	55.3	56.7777655300698	-1.47776553006979
351	98.8	8.33400921134617	90.4659907886538
352	41.7	26.037836849085	15.662163150915
353	-130.2	-119.897029301412	-10.3029706985875
354	51.2	78.3635695677023	-27.1635695677023
355	18.4	83.6603715149597	-65.2603715149597
356	32	47.206717870992	-15.206717870992
357	21.6	-217.658007399134	239.258007399134
358	-12.5	-72.9743202045835	60.4743202045835
359	46.6	46.1550087751224	0.444991224877619
360	-101.7	-154.752144690295	53.0521446902953
361	15.8	-19.535957227499	35.3359572274991
362	26	19.7194445072004	6.28055549279962
363	79.1	2.03078207749074	77.0692179225093
364	23.1	15.5549153402302	7.54508465976983
365	-86.9	-65.1166531521134	-21.7833468478866
366	-11.2	42.9665810080012	-54.1665810080012
367	50.7	28.4227185289928	22.2772814710072
368	13.4	26.4982675618773	-13.0982675618773
369	33.7	-101.132971180937	134.832971180937
370	-16.9	-29.3413870424977	12.4413870424977
371	-9.6	21.6460223657366	-31.2460223657366

Extrapolation Forecasts of Exponential Smoothing
t	Forecast	95% Lower Bound	95% Upper Bound
372	-27.5428441691239	-102.452296729132	47.3666083908841
373	-1.38949566523874	-76.7020081489097	73.9230168184322
374	-2.11198790310971	-342.148466856015	337.924491049795
375	-2.59135544552002	-116.752126404714	111.569415513674
376	-2.44903922533884	-98.4018166827383	93.5037382320606
377	12.6463321817605	-327.943016296997	353.235680660518
378	-8.15031291553712	-203.3599162882	187.059290457126
379	-13.3675877903667	-296.042918912008	269.307743331274
380	-11.049211750298	-232.504673470998	210.406249970402
381	51.5268882726426	-887.085983863107	990.139760408393
382	35.968595817093	-582.599259237827	654.536450872013
383	-33.6968462266658	-846.041416929894	778.647724476562

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
372 & -27.5428441691239 & -102.452296729132 & 47.3666083908841 \tabularnewline
373 & -1.38949566523874 & -76.7020081489097 & 73.9230168184322 \tabularnewline
374 & -2.11198790310971 & -342.148466856015 & 337.924491049795 \tabularnewline
375 & -2.59135544552002 & -116.752126404714 & 111.569415513674 \tabularnewline
376 & -2.44903922533884 & -98.4018166827383 & 93.5037382320606 \tabularnewline
377 & 12.6463321817605 & -327.943016296997 & 353.235680660518 \tabularnewline
378 & -8.15031291553712 & -203.3599162882 & 187.059290457126 \tabularnewline
379 & -13.3675877903667 & -296.042918912008 & 269.307743331274 \tabularnewline
380 & -11.049211750298 & -232.504673470998 & 210.406249970402 \tabularnewline
381 & 51.5268882726426 & -887.085983863107 & 990.139760408393 \tabularnewline
382 & 35.968595817093 & -582.599259237827 & 654.536450872013 \tabularnewline
383 & -33.6968462266658 & -846.041416929894 & 778.647724476562 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147112&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]372[/C][C]-27.5428441691239[/C][C]-102.452296729132[/C][C]47.3666083908841[/C][/ROW]
[ROW][C]373[/C][C]-1.38949566523874[/C][C]-76.7020081489097[/C][C]73.9230168184322[/C][/ROW]
[ROW][C]374[/C][C]-2.11198790310971[/C][C]-342.148466856015[/C][C]337.924491049795[/C][/ROW]
[ROW][C]375[/C][C]-2.59135544552002[/C][C]-116.752126404714[/C][C]111.569415513674[/C][/ROW]
[ROW][C]376[/C][C]-2.44903922533884[/C][C]-98.4018166827383[/C][C]93.5037382320606[/C][/ROW]
[ROW][C]377[/C][C]12.6463321817605[/C][C]-327.943016296997[/C][C]353.235680660518[/C][/ROW]
[ROW][C]378[/C][C]-8.15031291553712[/C][C]-203.3599162882[/C][C]187.059290457126[/C][/ROW]
[ROW][C]379[/C][C]-13.3675877903667[/C][C]-296.042918912008[/C][C]269.307743331274[/C][/ROW]
[ROW][C]380[/C][C]-11.049211750298[/C][C]-232.504673470998[/C][C]210.406249970402[/C][/ROW]
[ROW][C]381[/C][C]51.5268882726426[/C][C]-887.085983863107[/C][C]990.139760408393[/C][/ROW]
[ROW][C]382[/C][C]35.968595817093[/C][C]-582.599259237827[/C][C]654.536450872013[/C][/ROW]
[ROW][C]383[/C][C]-33.6968462266658[/C][C]-846.041416929894[/C][C]778.647724476562[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147112&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147112&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
372	-27.5428441691239	-102.452296729132	47.3666083908841
373	-1.38949566523874	-76.7020081489097	73.9230168184322
374	-2.11198790310971	-342.148466856015	337.924491049795
375	-2.59135544552002	-116.752126404714	111.569415513674
376	-2.44903922533884	-98.4018166827383	93.5037382320606
377	12.6463321817605	-327.943016296997	353.235680660518
378	-8.15031291553712	-203.3599162882	187.059290457126
379	-13.3675877903667	-296.042918912008	269.307743331274
380	-11.049211750298	-232.504673470998	210.406249970402
381	51.5268882726426	-887.085983863107	990.139760408393
382	35.968595817093	-582.599259237827	654.536450872013
383	-33.6968462266658	-846.041416929894	778.647724476562

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 = multiplicative ;

Parameters (R input):

par1 = 12 ; par2 = Triple ; par3 = multiplicative ;

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