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*The author of this computation has been verified*

R Software Module

rwasp_exponentialsmoothing.wasp

Title produced by software

Exponential Smoothing

Date of computation

Sun, 17 Dec 2017 16:58:40 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/17/t1513526338g13aqw7l3ge9rav.htm/, Retrieved Thu, 16 May 2024 00:35:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310014, Retrieved Thu, 16 May 2024 00:35:56 +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] [] [2017-12-17 15:58:40] [1fb90e819e5b19aec9e872ea972cd63e] [Current]

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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	3 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310014&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

3 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310014&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	3 seconds
R Server	Big Analytics Cloud Computing Center

Estimated Parameters of Exponential Smoothing
Parameter	Value
alpha	0.20320813841277
beta	FALSE
gamma	FALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.20320813841277 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310014&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]0.20320813841277[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310014&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	0.20320813841277
beta	FALSE
gamma	FALSE

Interpolation Forecasts of Exponential Smoothing
t	Observed	Fitted	Residuals
2	64.8	58.4	6.4
3	73.8	59.7005320858417	14.0994679141583
4	65	62.5656587132884	2.43434128671159
5	73	63.0603366744224	9.93966332557758
6	71.1	65.0801571552627	6.01984284473727
7	58.2	66.3034382132792	-8.10343821327922
8	64	64.6567536192158	-0.656753619215849
9	75	64.5232959388591	10.4767040611409
10	74.9	66.6522474678251	8.24775253217491
11	75	68.3282579059776	6.67174209402243
12	68.3	69.684010196874	-1.38401019687399
13	72.5	69.4027680612229	3.09723193877707
14	72.4	70.0321507977344	2.36784920226562
15	79.6	70.5133170261689	9.08668297383105
16	70.7	72.3598049576282	-1.65980495762817
17	76.4	72.0225190820603	4.37748091793974
18	79.7	72.9120588303322	6.78794116966777
19	64.2	74.2914237190758	-10.0914237190758
20	67.9	72.240764291188	-4.34076429118795
21	74.1	71.358685660287	2.74131433971296
22	78.5	71.9157430440643	6.58425695593566
23	73.4	73.2537176429114	0.146282357088637
24	65.4	73.283443408378	-7.88344340837799
25	69.9	71.6814635490791	-1.78146354907908
26	69.6	71.3194556576205	-1.71945565762053
27	76.8	70.9700482743522	5.82995172564785
28	75.6	72.1547419115574	3.44525808844263
29	74	72.8548463940613	1.14515360593867
30	76	73.0875509265208	2.91244907347919
31	68.1	73.6793842809645	-5.57938428096452
32	65.5	72.5456079877403	-7.04560798774025
33	76.9	71.1138831045654	5.78611689543459
34	81.7	72.2896691475254	9.41033085247464
35	73.6	74.201924961905	-0.601924961904999
36	68.7	74.0796089109321	-5.37960891093209
37	73.3	72.9864285987528	0.31357140124716
38	71.5	73.0501488594598	-1.55014885945975
39	78.3	72.7351459954663	5.56485400453374
40	76.5	73.8659696182664	2.6340303817336
41	71.8	74.4012260286612	-2.60122602866117
42	77.6	73.8726357297861	3.7273642702139
43	70	74.6300664843225	-4.63006648432254
44	64	73.689199293316	-9.68919929331599
45	81.3	71.7202751422109	9.57972485778907
46	82.5	73.6669531970688	8.83304680293122
47	73.1	75.4619001944053	-2.36190019440531
48	78.1	74.9819428527834	3.11805714721655
49	70.7	75.615557441134	-4.91555744113396
50	74.9	74.6166761642601	0.283323835739921
51	88	74.6742498734888	13.3257501265112
52	81.3	77.3821507496508	3.91784925034915
53	75.7	78.1782896023962	-2.47828960239616
54	89.8	77.6746809858455	12.1253190141545
55	74.6	80.1386444903728	-5.53864449037282
56	74.9	79.013146854154	-4.113146854154
57	90	78.177321938903	11.822678061097
58	88.1	80.579786338752	7.52021366124795
59	84.9	82.1079549573205	2.79204504267949
60	87.7	82.675321232808	5.02467876719199
61	80.5	83.6963768512113	-3.19637685121128
62	79	83.046847061611	-4.04684706161098
63	89.9	82.2244948037798	7.67550519622017
64	86.3	83.7842199260813	2.51578007391872
65	81.1	84.2954469115582	-3.19544691155825
66	92.4	83.6461060932637	8.75389390673635
67	71.8	85.4249685779144	-13.6249685779144
68	76.1	82.656264077264	-6.55626407726396
69	92.5	81.3239778591806	11.1760221408194
70	87	83.5950365132764	3.40496348672357
71	89.5	84.286952804777	5.21304719522303
72	88.7	85.3462864207762	3.35371357922385
73	83.8	86.0277883139799	-2.22778831397987
74	84.9	85.5750835979183	-0.675083597918288
75	99	85.4379011167123	13.5620988832877
76	84.6	88.1938299837551	-3.59382998375511
77	92.7	87.4635344829842	5.23646551701576
78	97.6	88.5276268925597	9.07237310744031
79	78	90.3712069427087	-12.3712069427087
80	81.9	87.8572770099617	-5.95727700996173
81	96.5	86.6467098387582	9.85329016124177
82	99.9	88.648978589665	11.251021410335
83	96.2	90.9352777057014	5.26472229429858
84	90.5	92.005112122386	-1.50511212238604
85	91.4	91.6992610898935	-0.299261089893463
86	89.7	91.6384488009168	-1.93844880091683
87	102.7	91.2445402286741	11.4554597713259
88	91.5	93.5723828834676	-2.07238288346758
89	96.2	93.1512578156397	3.04874218436035
90	104.5	93.770787039424	10.729212960576
91	90.3	95.9510504317768	-5.65105043177681
92	90.3	94.8027109934588	-4.50271099345876
93	100.4	93.8877234746673	6.51227652533271
94	111.3	95.2110710642093	16.0889289357907
95	101.3	98.4804723623067	2.8195276376933
96	94.4	99.0534233247657	-4.65342332476571
97	100.4	98.1078098336935	2.29219016630648
98	102	98.5736015302767	3.42639846972328
99	104.3	99.2698735847696	5.03012641523044
100	108.8	100.292036209589	8.50796379041056
101	101.3	102.020923693122	-0.720923693122032
102	108.9	101.874426131505	7.02557386849496
103	98.5	103.302079918603	-4.80207991860331
104	88.8	102.326258197835	-13.5262581978346
105	111.8	99.5776124497621	12.2223875502379
106	109.6	102.061301070805	7.5386989291946
107	92.5	103.593226046261	-11.0932260462614
108	94.5	101.338992232409	-6.83899223240854
109	80.8	99.9492533522414	-19.1492533522414
110	83.7	96.0579692265379	-12.3579692265379
111	94.2	93.5467293054509	0.653270694549136
112	86.2	93.6794792271698	-7.47947922716982
113	89	92.1595881771197	-3.15958817711966
114	94.7	91.5175341454962	3.18246585450383
115	81.9	92.1642371073521	-10.2642371073521
116	80.2	90.0784605925398	-9.87846059253981
117	96.5	88.0710770051459	8.4289229948541
118	95.6	89.7839027557548	5.8160972442452
119	91.9	90.9657810495855	0.934218950414504
120	89.9	91.1556219433692	-1.25562194336916
121	86.3	90.9004693457069	-4.6004693457069
122	94	89.9656165341408	4.03438346585921
123	108	90.7854360878813	17.2145639121187
124	96.3	94.2835755740506	2.01642442594941
125	94.6	94.6933294278978	-0.0933294278978138
126	111.7	94.6743641285956	17.0256358714044
127	92	98.1341118993173	-6.13411189931733
128	91.9	96.8876104394414	-4.98761043944144
129	109.2	95.8740874069145	13.3259125930855
130	106.8	98.5820212976067	8.21797870239332
131	105.8	100.251981451236	5.54801854876419
132	103.6	101.37938397241	2.2206160275903
133	97.6	101.830631221506	-4.23063122150589
134	102.8	100.970932526673	1.82906747332727
135	124.8	101.342613922959	23.4573860770411
136	103.9	106.109345679704	-2.20934567970404
137	112.2	105.660388657021	6.53961134297892
138	108.5	106.989290903971	1.51070909602913
139	92.4	107.296279287058	-14.8962792870582
140	101.1	104.269234103858	-3.1692341038584
141	114.9	103.625219941419	11.2747800585809
142	106.4	105.916347008137	0.483652991863295
143	104	106.014629232251	-2.01462923225102
144	101.6	105.605240176373	-4.00524017637335
145	99.4	104.791342776236	-5.39134277623647
146	102.3	103.695778047132	-1.39577804713234
147	121.3	103.412144588537	17.8878554114628
148	99.3	107.047102386897	-7.74710238689732
149	102.9	105.472828132763	-2.57282813276279
150	111.4	104.950008517448	6.44999148255194
151	98.5	106.260699279396	-7.76069927939567
152	98.5	104.683662026048	-6.18366202604835
153	108.5	103.427091577161	5.07290842283867
154	112.1	104.457947854105	7.64205214589515
155	105.3	106.010875044326	-0.710875044325519
156	95.2	105.866419449924	-10.666419449924
157	98.2	103.698916209975	-5.49891620997522
158	96.6	102.581491683658	-5.98149168365836
159	109.6	101.366003893691	8.23399610630932
160	108	103.039218914152	4.9607810858482
161	106.7	104.04729000368	2.6527099963197
162	111.5	104.586342263781	6.91365773621862
163	104.5	105.991253781981	-1.49125378198141
164	94.3	105.688218877044	-11.388218877044
165	109.6	103.374040119203	6.22595988079729
166	116.4	104.639205836412	11.7607941635879
167	106.5	107.029094924651	-0.529094924650579
168	100.5	106.921578529969	-6.42157852996868
169	101.7	105.616661511222	-3.91666151122234
170	104.1	104.820764016734	-0.720764016733924
171	112.3	104.674298902659	7.62570109734149
172	111.2	106.223903426741	4.97609657325852
173	108.2	107.235086747956	0.964913252044497
174	115.1	107.431164973633	7.66883502636671
175	102.3	108.989534663136	-6.68953466313592
176	93.6	107.630166777392	-14.0301667773924
177	120.6	104.779122704938	15.8208772950622
178	118.4	107.994053728124	10.4059462718758
179	106.6	110.108626698455	-3.50862669845542
180	105.3	109.395645198677	-4.09564519867695
181	101.5	108.563376762255	-7.06337676225461
182	100.1	107.128041119489	-7.02804111948885
183	119.5	105.699885966909	13.8001140330909
184	111.2	108.504181449457	2.69581855054254
185	103.7	109.051993718612	-5.35199371861181
186	117.8	107.964425038256	9.83557496174413
187	101.7	109.963093916451	-8.26309391645114
188	97.4	108.283965984159	-10.8839659841592
189	120	106.07225551797	13.9277444820297
190	117	108.902486546452	8.09751345354769
191	110.6	110.54796718112	0.0520328188798942
192	105.3	110.558540673381	-5.25854067338106
193	100.9	109.489962412375	-8.58996241237546
194	108.1	107.744412141521	0.355587858479012
195	119.3	107.816670488285	11.4833295117153
196	113	110.150176501141	2.84982349885922
197	108.6	110.729283829149	-2.12928382914893
198	123.3	110.296596026075	13.0034039739248
199	101.4	112.938993540646	-11.5389935406456
200	103.5	110.594176144094	-7.09417614409408
201	119.4	109.15258181628	10.2474181837196
202	113.1	111.234940588931	1.86505941106873
203	112	111.613935839884	0.386064160116234
204	115.8	111.692387219169	4.10761278083113
205	105.4	112.527087565682	-7.12708756568206
206	110.9	111.078805369155	-0.178805369155015
207	128.5	111.042470662951	17.4575293370492
208	109	114.589982700819	-5.58998270081891
209	117.2	113.454052722426	3.74594727757409
210	124.4	114.215259695294	10.1847403047059
211	104.7	116.284881812831	-11.5848818128309
212	108.6	113.930739545914	-5.33073954591359

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 64.8 & 58.4 & 6.4 \tabularnewline
3 & 73.8 & 59.7005320858417 & 14.0994679141583 \tabularnewline
4 & 65 & 62.5656587132884 & 2.43434128671159 \tabularnewline
5 & 73 & 63.0603366744224 & 9.93966332557758 \tabularnewline
6 & 71.1 & 65.0801571552627 & 6.01984284473727 \tabularnewline
7 & 58.2 & 66.3034382132792 & -8.10343821327922 \tabularnewline
8 & 64 & 64.6567536192158 & -0.656753619215849 \tabularnewline
9 & 75 & 64.5232959388591 & 10.4767040611409 \tabularnewline
10 & 74.9 & 66.6522474678251 & 8.24775253217491 \tabularnewline
11 & 75 & 68.3282579059776 & 6.67174209402243 \tabularnewline
12 & 68.3 & 69.684010196874 & -1.38401019687399 \tabularnewline
13 & 72.5 & 69.4027680612229 & 3.09723193877707 \tabularnewline
14 & 72.4 & 70.0321507977344 & 2.36784920226562 \tabularnewline
15 & 79.6 & 70.5133170261689 & 9.08668297383105 \tabularnewline
16 & 70.7 & 72.3598049576282 & -1.65980495762817 \tabularnewline
17 & 76.4 & 72.0225190820603 & 4.37748091793974 \tabularnewline
18 & 79.7 & 72.9120588303322 & 6.78794116966777 \tabularnewline
19 & 64.2 & 74.2914237190758 & -10.0914237190758 \tabularnewline
20 & 67.9 & 72.240764291188 & -4.34076429118795 \tabularnewline
21 & 74.1 & 71.358685660287 & 2.74131433971296 \tabularnewline
22 & 78.5 & 71.9157430440643 & 6.58425695593566 \tabularnewline
23 & 73.4 & 73.2537176429114 & 0.146282357088637 \tabularnewline
24 & 65.4 & 73.283443408378 & -7.88344340837799 \tabularnewline
25 & 69.9 & 71.6814635490791 & -1.78146354907908 \tabularnewline
26 & 69.6 & 71.3194556576205 & -1.71945565762053 \tabularnewline
27 & 76.8 & 70.9700482743522 & 5.82995172564785 \tabularnewline
28 & 75.6 & 72.1547419115574 & 3.44525808844263 \tabularnewline
29 & 74 & 72.8548463940613 & 1.14515360593867 \tabularnewline
30 & 76 & 73.0875509265208 & 2.91244907347919 \tabularnewline
31 & 68.1 & 73.6793842809645 & -5.57938428096452 \tabularnewline
32 & 65.5 & 72.5456079877403 & -7.04560798774025 \tabularnewline
33 & 76.9 & 71.1138831045654 & 5.78611689543459 \tabularnewline
34 & 81.7 & 72.2896691475254 & 9.41033085247464 \tabularnewline
35 & 73.6 & 74.201924961905 & -0.601924961904999 \tabularnewline
36 & 68.7 & 74.0796089109321 & -5.37960891093209 \tabularnewline
37 & 73.3 & 72.9864285987528 & 0.31357140124716 \tabularnewline
38 & 71.5 & 73.0501488594598 & -1.55014885945975 \tabularnewline
39 & 78.3 & 72.7351459954663 & 5.56485400453374 \tabularnewline
40 & 76.5 & 73.8659696182664 & 2.6340303817336 \tabularnewline
41 & 71.8 & 74.4012260286612 & -2.60122602866117 \tabularnewline
42 & 77.6 & 73.8726357297861 & 3.7273642702139 \tabularnewline
43 & 70 & 74.6300664843225 & -4.63006648432254 \tabularnewline
44 & 64 & 73.689199293316 & -9.68919929331599 \tabularnewline
45 & 81.3 & 71.7202751422109 & 9.57972485778907 \tabularnewline
46 & 82.5 & 73.6669531970688 & 8.83304680293122 \tabularnewline
47 & 73.1 & 75.4619001944053 & -2.36190019440531 \tabularnewline
48 & 78.1 & 74.9819428527834 & 3.11805714721655 \tabularnewline
49 & 70.7 & 75.615557441134 & -4.91555744113396 \tabularnewline
50 & 74.9 & 74.6166761642601 & 0.283323835739921 \tabularnewline
51 & 88 & 74.6742498734888 & 13.3257501265112 \tabularnewline
52 & 81.3 & 77.3821507496508 & 3.91784925034915 \tabularnewline
53 & 75.7 & 78.1782896023962 & -2.47828960239616 \tabularnewline
54 & 89.8 & 77.6746809858455 & 12.1253190141545 \tabularnewline
55 & 74.6 & 80.1386444903728 & -5.53864449037282 \tabularnewline
56 & 74.9 & 79.013146854154 & -4.113146854154 \tabularnewline
57 & 90 & 78.177321938903 & 11.822678061097 \tabularnewline
58 & 88.1 & 80.579786338752 & 7.52021366124795 \tabularnewline
59 & 84.9 & 82.1079549573205 & 2.79204504267949 \tabularnewline
60 & 87.7 & 82.675321232808 & 5.02467876719199 \tabularnewline
61 & 80.5 & 83.6963768512113 & -3.19637685121128 \tabularnewline
62 & 79 & 83.046847061611 & -4.04684706161098 \tabularnewline
63 & 89.9 & 82.2244948037798 & 7.67550519622017 \tabularnewline
64 & 86.3 & 83.7842199260813 & 2.51578007391872 \tabularnewline
65 & 81.1 & 84.2954469115582 & -3.19544691155825 \tabularnewline
66 & 92.4 & 83.6461060932637 & 8.75389390673635 \tabularnewline
67 & 71.8 & 85.4249685779144 & -13.6249685779144 \tabularnewline
68 & 76.1 & 82.656264077264 & -6.55626407726396 \tabularnewline
69 & 92.5 & 81.3239778591806 & 11.1760221408194 \tabularnewline
70 & 87 & 83.5950365132764 & 3.40496348672357 \tabularnewline
71 & 89.5 & 84.286952804777 & 5.21304719522303 \tabularnewline
72 & 88.7 & 85.3462864207762 & 3.35371357922385 \tabularnewline
73 & 83.8 & 86.0277883139799 & -2.22778831397987 \tabularnewline
74 & 84.9 & 85.5750835979183 & -0.675083597918288 \tabularnewline
75 & 99 & 85.4379011167123 & 13.5620988832877 \tabularnewline
76 & 84.6 & 88.1938299837551 & -3.59382998375511 \tabularnewline
77 & 92.7 & 87.4635344829842 & 5.23646551701576 \tabularnewline
78 & 97.6 & 88.5276268925597 & 9.07237310744031 \tabularnewline
79 & 78 & 90.3712069427087 & -12.3712069427087 \tabularnewline
80 & 81.9 & 87.8572770099617 & -5.95727700996173 \tabularnewline
81 & 96.5 & 86.6467098387582 & 9.85329016124177 \tabularnewline
82 & 99.9 & 88.648978589665 & 11.251021410335 \tabularnewline
83 & 96.2 & 90.9352777057014 & 5.26472229429858 \tabularnewline
84 & 90.5 & 92.005112122386 & -1.50511212238604 \tabularnewline
85 & 91.4 & 91.6992610898935 & -0.299261089893463 \tabularnewline
86 & 89.7 & 91.6384488009168 & -1.93844880091683 \tabularnewline
87 & 102.7 & 91.2445402286741 & 11.4554597713259 \tabularnewline
88 & 91.5 & 93.5723828834676 & -2.07238288346758 \tabularnewline
89 & 96.2 & 93.1512578156397 & 3.04874218436035 \tabularnewline
90 & 104.5 & 93.770787039424 & 10.729212960576 \tabularnewline
91 & 90.3 & 95.9510504317768 & -5.65105043177681 \tabularnewline
92 & 90.3 & 94.8027109934588 & -4.50271099345876 \tabularnewline
93 & 100.4 & 93.8877234746673 & 6.51227652533271 \tabularnewline
94 & 111.3 & 95.2110710642093 & 16.0889289357907 \tabularnewline
95 & 101.3 & 98.4804723623067 & 2.8195276376933 \tabularnewline
96 & 94.4 & 99.0534233247657 & -4.65342332476571 \tabularnewline
97 & 100.4 & 98.1078098336935 & 2.29219016630648 \tabularnewline
98 & 102 & 98.5736015302767 & 3.42639846972328 \tabularnewline
99 & 104.3 & 99.2698735847696 & 5.03012641523044 \tabularnewline
100 & 108.8 & 100.292036209589 & 8.50796379041056 \tabularnewline
101 & 101.3 & 102.020923693122 & -0.720923693122032 \tabularnewline
102 & 108.9 & 101.874426131505 & 7.02557386849496 \tabularnewline
103 & 98.5 & 103.302079918603 & -4.80207991860331 \tabularnewline
104 & 88.8 & 102.326258197835 & -13.5262581978346 \tabularnewline
105 & 111.8 & 99.5776124497621 & 12.2223875502379 \tabularnewline
106 & 109.6 & 102.061301070805 & 7.5386989291946 \tabularnewline
107 & 92.5 & 103.593226046261 & -11.0932260462614 \tabularnewline
108 & 94.5 & 101.338992232409 & -6.83899223240854 \tabularnewline
109 & 80.8 & 99.9492533522414 & -19.1492533522414 \tabularnewline
110 & 83.7 & 96.0579692265379 & -12.3579692265379 \tabularnewline
111 & 94.2 & 93.5467293054509 & 0.653270694549136 \tabularnewline
112 & 86.2 & 93.6794792271698 & -7.47947922716982 \tabularnewline
113 & 89 & 92.1595881771197 & -3.15958817711966 \tabularnewline
114 & 94.7 & 91.5175341454962 & 3.18246585450383 \tabularnewline
115 & 81.9 & 92.1642371073521 & -10.2642371073521 \tabularnewline
116 & 80.2 & 90.0784605925398 & -9.87846059253981 \tabularnewline
117 & 96.5 & 88.0710770051459 & 8.4289229948541 \tabularnewline
118 & 95.6 & 89.7839027557548 & 5.8160972442452 \tabularnewline
119 & 91.9 & 90.9657810495855 & 0.934218950414504 \tabularnewline
120 & 89.9 & 91.1556219433692 & -1.25562194336916 \tabularnewline
121 & 86.3 & 90.9004693457069 & -4.6004693457069 \tabularnewline
122 & 94 & 89.9656165341408 & 4.03438346585921 \tabularnewline
123 & 108 & 90.7854360878813 & 17.2145639121187 \tabularnewline
124 & 96.3 & 94.2835755740506 & 2.01642442594941 \tabularnewline
125 & 94.6 & 94.6933294278978 & -0.0933294278978138 \tabularnewline
126 & 111.7 & 94.6743641285956 & 17.0256358714044 \tabularnewline
127 & 92 & 98.1341118993173 & -6.13411189931733 \tabularnewline
128 & 91.9 & 96.8876104394414 & -4.98761043944144 \tabularnewline
129 & 109.2 & 95.8740874069145 & 13.3259125930855 \tabularnewline
130 & 106.8 & 98.5820212976067 & 8.21797870239332 \tabularnewline
131 & 105.8 & 100.251981451236 & 5.54801854876419 \tabularnewline
132 & 103.6 & 101.37938397241 & 2.2206160275903 \tabularnewline
133 & 97.6 & 101.830631221506 & -4.23063122150589 \tabularnewline
134 & 102.8 & 100.970932526673 & 1.82906747332727 \tabularnewline
135 & 124.8 & 101.342613922959 & 23.4573860770411 \tabularnewline
136 & 103.9 & 106.109345679704 & -2.20934567970404 \tabularnewline
137 & 112.2 & 105.660388657021 & 6.53961134297892 \tabularnewline
138 & 108.5 & 106.989290903971 & 1.51070909602913 \tabularnewline
139 & 92.4 & 107.296279287058 & -14.8962792870582 \tabularnewline
140 & 101.1 & 104.269234103858 & -3.1692341038584 \tabularnewline
141 & 114.9 & 103.625219941419 & 11.2747800585809 \tabularnewline
142 & 106.4 & 105.916347008137 & 0.483652991863295 \tabularnewline
143 & 104 & 106.014629232251 & -2.01462923225102 \tabularnewline
144 & 101.6 & 105.605240176373 & -4.00524017637335 \tabularnewline
145 & 99.4 & 104.791342776236 & -5.39134277623647 \tabularnewline
146 & 102.3 & 103.695778047132 & -1.39577804713234 \tabularnewline
147 & 121.3 & 103.412144588537 & 17.8878554114628 \tabularnewline
148 & 99.3 & 107.047102386897 & -7.74710238689732 \tabularnewline
149 & 102.9 & 105.472828132763 & -2.57282813276279 \tabularnewline
150 & 111.4 & 104.950008517448 & 6.44999148255194 \tabularnewline
151 & 98.5 & 106.260699279396 & -7.76069927939567 \tabularnewline
152 & 98.5 & 104.683662026048 & -6.18366202604835 \tabularnewline
153 & 108.5 & 103.427091577161 & 5.07290842283867 \tabularnewline
154 & 112.1 & 104.457947854105 & 7.64205214589515 \tabularnewline
155 & 105.3 & 106.010875044326 & -0.710875044325519 \tabularnewline
156 & 95.2 & 105.866419449924 & -10.666419449924 \tabularnewline
157 & 98.2 & 103.698916209975 & -5.49891620997522 \tabularnewline
158 & 96.6 & 102.581491683658 & -5.98149168365836 \tabularnewline
159 & 109.6 & 101.366003893691 & 8.23399610630932 \tabularnewline
160 & 108 & 103.039218914152 & 4.9607810858482 \tabularnewline
161 & 106.7 & 104.04729000368 & 2.6527099963197 \tabularnewline
162 & 111.5 & 104.586342263781 & 6.91365773621862 \tabularnewline
163 & 104.5 & 105.991253781981 & -1.49125378198141 \tabularnewline
164 & 94.3 & 105.688218877044 & -11.388218877044 \tabularnewline
165 & 109.6 & 103.374040119203 & 6.22595988079729 \tabularnewline
166 & 116.4 & 104.639205836412 & 11.7607941635879 \tabularnewline
167 & 106.5 & 107.029094924651 & -0.529094924650579 \tabularnewline
168 & 100.5 & 106.921578529969 & -6.42157852996868 \tabularnewline
169 & 101.7 & 105.616661511222 & -3.91666151122234 \tabularnewline
170 & 104.1 & 104.820764016734 & -0.720764016733924 \tabularnewline
171 & 112.3 & 104.674298902659 & 7.62570109734149 \tabularnewline
172 & 111.2 & 106.223903426741 & 4.97609657325852 \tabularnewline
173 & 108.2 & 107.235086747956 & 0.964913252044497 \tabularnewline
174 & 115.1 & 107.431164973633 & 7.66883502636671 \tabularnewline
175 & 102.3 & 108.989534663136 & -6.68953466313592 \tabularnewline
176 & 93.6 & 107.630166777392 & -14.0301667773924 \tabularnewline
177 & 120.6 & 104.779122704938 & 15.8208772950622 \tabularnewline
178 & 118.4 & 107.994053728124 & 10.4059462718758 \tabularnewline
179 & 106.6 & 110.108626698455 & -3.50862669845542 \tabularnewline
180 & 105.3 & 109.395645198677 & -4.09564519867695 \tabularnewline
181 & 101.5 & 108.563376762255 & -7.06337676225461 \tabularnewline
182 & 100.1 & 107.128041119489 & -7.02804111948885 \tabularnewline
183 & 119.5 & 105.699885966909 & 13.8001140330909 \tabularnewline
184 & 111.2 & 108.504181449457 & 2.69581855054254 \tabularnewline
185 & 103.7 & 109.051993718612 & -5.35199371861181 \tabularnewline
186 & 117.8 & 107.964425038256 & 9.83557496174413 \tabularnewline
187 & 101.7 & 109.963093916451 & -8.26309391645114 \tabularnewline
188 & 97.4 & 108.283965984159 & -10.8839659841592 \tabularnewline
189 & 120 & 106.07225551797 & 13.9277444820297 \tabularnewline
190 & 117 & 108.902486546452 & 8.09751345354769 \tabularnewline
191 & 110.6 & 110.54796718112 & 0.0520328188798942 \tabularnewline
192 & 105.3 & 110.558540673381 & -5.25854067338106 \tabularnewline
193 & 100.9 & 109.489962412375 & -8.58996241237546 \tabularnewline
194 & 108.1 & 107.744412141521 & 0.355587858479012 \tabularnewline
195 & 119.3 & 107.816670488285 & 11.4833295117153 \tabularnewline
196 & 113 & 110.150176501141 & 2.84982349885922 \tabularnewline
197 & 108.6 & 110.729283829149 & -2.12928382914893 \tabularnewline
198 & 123.3 & 110.296596026075 & 13.0034039739248 \tabularnewline
199 & 101.4 & 112.938993540646 & -11.5389935406456 \tabularnewline
200 & 103.5 & 110.594176144094 & -7.09417614409408 \tabularnewline
201 & 119.4 & 109.15258181628 & 10.2474181837196 \tabularnewline
202 & 113.1 & 111.234940588931 & 1.86505941106873 \tabularnewline
203 & 112 & 111.613935839884 & 0.386064160116234 \tabularnewline
204 & 115.8 & 111.692387219169 & 4.10761278083113 \tabularnewline
205 & 105.4 & 112.527087565682 & -7.12708756568206 \tabularnewline
206 & 110.9 & 111.078805369155 & -0.178805369155015 \tabularnewline
207 & 128.5 & 111.042470662951 & 17.4575293370492 \tabularnewline
208 & 109 & 114.589982700819 & -5.58998270081891 \tabularnewline
209 & 117.2 & 113.454052722426 & 3.74594727757409 \tabularnewline
210 & 124.4 & 114.215259695294 & 10.1847403047059 \tabularnewline
211 & 104.7 & 116.284881812831 & -11.5848818128309 \tabularnewline
212 & 108.6 & 113.930739545914 & -5.33073954591359 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310014&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]2[/C][C]64.8[/C][C]58.4[/C][C]6.4[/C][/ROW]
[ROW][C]3[/C][C]73.8[/C][C]59.7005320858417[/C][C]14.0994679141583[/C][/ROW]
[ROW][C]4[/C][C]65[/C][C]62.5656587132884[/C][C]2.43434128671159[/C][/ROW]
[ROW][C]5[/C][C]73[/C][C]63.0603366744224[/C][C]9.93966332557758[/C][/ROW]
[ROW][C]6[/C][C]71.1[/C][C]65.0801571552627[/C][C]6.01984284473727[/C][/ROW]
[ROW][C]7[/C][C]58.2[/C][C]66.3034382132792[/C][C]-8.10343821327922[/C][/ROW]
[ROW][C]8[/C][C]64[/C][C]64.6567536192158[/C][C]-0.656753619215849[/C][/ROW]
[ROW][C]9[/C][C]75[/C][C]64.5232959388591[/C][C]10.4767040611409[/C][/ROW]
[ROW][C]10[/C][C]74.9[/C][C]66.6522474678251[/C][C]8.24775253217491[/C][/ROW]
[ROW][C]11[/C][C]75[/C][C]68.3282579059776[/C][C]6.67174209402243[/C][/ROW]
[ROW][C]12[/C][C]68.3[/C][C]69.684010196874[/C][C]-1.38401019687399[/C][/ROW]
[ROW][C]13[/C][C]72.5[/C][C]69.4027680612229[/C][C]3.09723193877707[/C][/ROW]
[ROW][C]14[/C][C]72.4[/C][C]70.0321507977344[/C][C]2.36784920226562[/C][/ROW]
[ROW][C]15[/C][C]79.6[/C][C]70.5133170261689[/C][C]9.08668297383105[/C][/ROW]
[ROW][C]16[/C][C]70.7[/C][C]72.3598049576282[/C][C]-1.65980495762817[/C][/ROW]
[ROW][C]17[/C][C]76.4[/C][C]72.0225190820603[/C][C]4.37748091793974[/C][/ROW]
[ROW][C]18[/C][C]79.7[/C][C]72.9120588303322[/C][C]6.78794116966777[/C][/ROW]
[ROW][C]19[/C][C]64.2[/C][C]74.2914237190758[/C][C]-10.0914237190758[/C][/ROW]
[ROW][C]20[/C][C]67.9[/C][C]72.240764291188[/C][C]-4.34076429118795[/C][/ROW]
[ROW][C]21[/C][C]74.1[/C][C]71.358685660287[/C][C]2.74131433971296[/C][/ROW]
[ROW][C]22[/C][C]78.5[/C][C]71.9157430440643[/C][C]6.58425695593566[/C][/ROW]
[ROW][C]23[/C][C]73.4[/C][C]73.2537176429114[/C][C]0.146282357088637[/C][/ROW]
[ROW][C]24[/C][C]65.4[/C][C]73.283443408378[/C][C]-7.88344340837799[/C][/ROW]
[ROW][C]25[/C][C]69.9[/C][C]71.6814635490791[/C][C]-1.78146354907908[/C][/ROW]
[ROW][C]26[/C][C]69.6[/C][C]71.3194556576205[/C][C]-1.71945565762053[/C][/ROW]
[ROW][C]27[/C][C]76.8[/C][C]70.9700482743522[/C][C]5.82995172564785[/C][/ROW]
[ROW][C]28[/C][C]75.6[/C][C]72.1547419115574[/C][C]3.44525808844263[/C][/ROW]
[ROW][C]29[/C][C]74[/C][C]72.8548463940613[/C][C]1.14515360593867[/C][/ROW]
[ROW][C]30[/C][C]76[/C][C]73.0875509265208[/C][C]2.91244907347919[/C][/ROW]
[ROW][C]31[/C][C]68.1[/C][C]73.6793842809645[/C][C]-5.57938428096452[/C][/ROW]
[ROW][C]32[/C][C]65.5[/C][C]72.5456079877403[/C][C]-7.04560798774025[/C][/ROW]
[ROW][C]33[/C][C]76.9[/C][C]71.1138831045654[/C][C]5.78611689543459[/C][/ROW]
[ROW][C]34[/C][C]81.7[/C][C]72.2896691475254[/C][C]9.41033085247464[/C][/ROW]
[ROW][C]35[/C][C]73.6[/C][C]74.201924961905[/C][C]-0.601924961904999[/C][/ROW]
[ROW][C]36[/C][C]68.7[/C][C]74.0796089109321[/C][C]-5.37960891093209[/C][/ROW]
[ROW][C]37[/C][C]73.3[/C][C]72.9864285987528[/C][C]0.31357140124716[/C][/ROW]
[ROW][C]38[/C][C]71.5[/C][C]73.0501488594598[/C][C]-1.55014885945975[/C][/ROW]
[ROW][C]39[/C][C]78.3[/C][C]72.7351459954663[/C][C]5.56485400453374[/C][/ROW]
[ROW][C]40[/C][C]76.5[/C][C]73.8659696182664[/C][C]2.6340303817336[/C][/ROW]
[ROW][C]41[/C][C]71.8[/C][C]74.4012260286612[/C][C]-2.60122602866117[/C][/ROW]
[ROW][C]42[/C][C]77.6[/C][C]73.8726357297861[/C][C]3.7273642702139[/C][/ROW]
[ROW][C]43[/C][C]70[/C][C]74.6300664843225[/C][C]-4.63006648432254[/C][/ROW]
[ROW][C]44[/C][C]64[/C][C]73.689199293316[/C][C]-9.68919929331599[/C][/ROW]
[ROW][C]45[/C][C]81.3[/C][C]71.7202751422109[/C][C]9.57972485778907[/C][/ROW]
[ROW][C]46[/C][C]82.5[/C][C]73.6669531970688[/C][C]8.83304680293122[/C][/ROW]
[ROW][C]47[/C][C]73.1[/C][C]75.4619001944053[/C][C]-2.36190019440531[/C][/ROW]
[ROW][C]48[/C][C]78.1[/C][C]74.9819428527834[/C][C]3.11805714721655[/C][/ROW]
[ROW][C]49[/C][C]70.7[/C][C]75.615557441134[/C][C]-4.91555744113396[/C][/ROW]
[ROW][C]50[/C][C]74.9[/C][C]74.6166761642601[/C][C]0.283323835739921[/C][/ROW]
[ROW][C]51[/C][C]88[/C][C]74.6742498734888[/C][C]13.3257501265112[/C][/ROW]
[ROW][C]52[/C][C]81.3[/C][C]77.3821507496508[/C][C]3.91784925034915[/C][/ROW]
[ROW][C]53[/C][C]75.7[/C][C]78.1782896023962[/C][C]-2.47828960239616[/C][/ROW]
[ROW][C]54[/C][C]89.8[/C][C]77.6746809858455[/C][C]12.1253190141545[/C][/ROW]
[ROW][C]55[/C][C]74.6[/C][C]80.1386444903728[/C][C]-5.53864449037282[/C][/ROW]
[ROW][C]56[/C][C]74.9[/C][C]79.013146854154[/C][C]-4.113146854154[/C][/ROW]
[ROW][C]57[/C][C]90[/C][C]78.177321938903[/C][C]11.822678061097[/C][/ROW]
[ROW][C]58[/C][C]88.1[/C][C]80.579786338752[/C][C]7.52021366124795[/C][/ROW]
[ROW][C]59[/C][C]84.9[/C][C]82.1079549573205[/C][C]2.79204504267949[/C][/ROW]
[ROW][C]60[/C][C]87.7[/C][C]82.675321232808[/C][C]5.02467876719199[/C][/ROW]
[ROW][C]61[/C][C]80.5[/C][C]83.6963768512113[/C][C]-3.19637685121128[/C][/ROW]
[ROW][C]62[/C][C]79[/C][C]83.046847061611[/C][C]-4.04684706161098[/C][/ROW]
[ROW][C]63[/C][C]89.9[/C][C]82.2244948037798[/C][C]7.67550519622017[/C][/ROW]
[ROW][C]64[/C][C]86.3[/C][C]83.7842199260813[/C][C]2.51578007391872[/C][/ROW]
[ROW][C]65[/C][C]81.1[/C][C]84.2954469115582[/C][C]-3.19544691155825[/C][/ROW]
[ROW][C]66[/C][C]92.4[/C][C]83.6461060932637[/C][C]8.75389390673635[/C][/ROW]
[ROW][C]67[/C][C]71.8[/C][C]85.4249685779144[/C][C]-13.6249685779144[/C][/ROW]
[ROW][C]68[/C][C]76.1[/C][C]82.656264077264[/C][C]-6.55626407726396[/C][/ROW]
[ROW][C]69[/C][C]92.5[/C][C]81.3239778591806[/C][C]11.1760221408194[/C][/ROW]
[ROW][C]70[/C][C]87[/C][C]83.5950365132764[/C][C]3.40496348672357[/C][/ROW]
[ROW][C]71[/C][C]89.5[/C][C]84.286952804777[/C][C]5.21304719522303[/C][/ROW]
[ROW][C]72[/C][C]88.7[/C][C]85.3462864207762[/C][C]3.35371357922385[/C][/ROW]
[ROW][C]73[/C][C]83.8[/C][C]86.0277883139799[/C][C]-2.22778831397987[/C][/ROW]
[ROW][C]74[/C][C]84.9[/C][C]85.5750835979183[/C][C]-0.675083597918288[/C][/ROW]
[ROW][C]75[/C][C]99[/C][C]85.4379011167123[/C][C]13.5620988832877[/C][/ROW]
[ROW][C]76[/C][C]84.6[/C][C]88.1938299837551[/C][C]-3.59382998375511[/C][/ROW]
[ROW][C]77[/C][C]92.7[/C][C]87.4635344829842[/C][C]5.23646551701576[/C][/ROW]
[ROW][C]78[/C][C]97.6[/C][C]88.5276268925597[/C][C]9.07237310744031[/C][/ROW]
[ROW][C]79[/C][C]78[/C][C]90.3712069427087[/C][C]-12.3712069427087[/C][/ROW]
[ROW][C]80[/C][C]81.9[/C][C]87.8572770099617[/C][C]-5.95727700996173[/C][/ROW]
[ROW][C]81[/C][C]96.5[/C][C]86.6467098387582[/C][C]9.85329016124177[/C][/ROW]
[ROW][C]82[/C][C]99.9[/C][C]88.648978589665[/C][C]11.251021410335[/C][/ROW]
[ROW][C]83[/C][C]96.2[/C][C]90.9352777057014[/C][C]5.26472229429858[/C][/ROW]
[ROW][C]84[/C][C]90.5[/C][C]92.005112122386[/C][C]-1.50511212238604[/C][/ROW]
[ROW][C]85[/C][C]91.4[/C][C]91.6992610898935[/C][C]-0.299261089893463[/C][/ROW]
[ROW][C]86[/C][C]89.7[/C][C]91.6384488009168[/C][C]-1.93844880091683[/C][/ROW]
[ROW][C]87[/C][C]102.7[/C][C]91.2445402286741[/C][C]11.4554597713259[/C][/ROW]
[ROW][C]88[/C][C]91.5[/C][C]93.5723828834676[/C][C]-2.07238288346758[/C][/ROW]
[ROW][C]89[/C][C]96.2[/C][C]93.1512578156397[/C][C]3.04874218436035[/C][/ROW]
[ROW][C]90[/C][C]104.5[/C][C]93.770787039424[/C][C]10.729212960576[/C][/ROW]
[ROW][C]91[/C][C]90.3[/C][C]95.9510504317768[/C][C]-5.65105043177681[/C][/ROW]
[ROW][C]92[/C][C]90.3[/C][C]94.8027109934588[/C][C]-4.50271099345876[/C][/ROW]
[ROW][C]93[/C][C]100.4[/C][C]93.8877234746673[/C][C]6.51227652533271[/C][/ROW]
[ROW][C]94[/C][C]111.3[/C][C]95.2110710642093[/C][C]16.0889289357907[/C][/ROW]
[ROW][C]95[/C][C]101.3[/C][C]98.4804723623067[/C][C]2.8195276376933[/C][/ROW]
[ROW][C]96[/C][C]94.4[/C][C]99.0534233247657[/C][C]-4.65342332476571[/C][/ROW]
[ROW][C]97[/C][C]100.4[/C][C]98.1078098336935[/C][C]2.29219016630648[/C][/ROW]
[ROW][C]98[/C][C]102[/C][C]98.5736015302767[/C][C]3.42639846972328[/C][/ROW]
[ROW][C]99[/C][C]104.3[/C][C]99.2698735847696[/C][C]5.03012641523044[/C][/ROW]
[ROW][C]100[/C][C]108.8[/C][C]100.292036209589[/C][C]8.50796379041056[/C][/ROW]
[ROW][C]101[/C][C]101.3[/C][C]102.020923693122[/C][C]-0.720923693122032[/C][/ROW]
[ROW][C]102[/C][C]108.9[/C][C]101.874426131505[/C][C]7.02557386849496[/C][/ROW]
[ROW][C]103[/C][C]98.5[/C][C]103.302079918603[/C][C]-4.80207991860331[/C][/ROW]
[ROW][C]104[/C][C]88.8[/C][C]102.326258197835[/C][C]-13.5262581978346[/C][/ROW]
[ROW][C]105[/C][C]111.8[/C][C]99.5776124497621[/C][C]12.2223875502379[/C][/ROW]
[ROW][C]106[/C][C]109.6[/C][C]102.061301070805[/C][C]7.5386989291946[/C][/ROW]
[ROW][C]107[/C][C]92.5[/C][C]103.593226046261[/C][C]-11.0932260462614[/C][/ROW]
[ROW][C]108[/C][C]94.5[/C][C]101.338992232409[/C][C]-6.83899223240854[/C][/ROW]
[ROW][C]109[/C][C]80.8[/C][C]99.9492533522414[/C][C]-19.1492533522414[/C][/ROW]
[ROW][C]110[/C][C]83.7[/C][C]96.0579692265379[/C][C]-12.3579692265379[/C][/ROW]
[ROW][C]111[/C][C]94.2[/C][C]93.5467293054509[/C][C]0.653270694549136[/C][/ROW]
[ROW][C]112[/C][C]86.2[/C][C]93.6794792271698[/C][C]-7.47947922716982[/C][/ROW]
[ROW][C]113[/C][C]89[/C][C]92.1595881771197[/C][C]-3.15958817711966[/C][/ROW]
[ROW][C]114[/C][C]94.7[/C][C]91.5175341454962[/C][C]3.18246585450383[/C][/ROW]
[ROW][C]115[/C][C]81.9[/C][C]92.1642371073521[/C][C]-10.2642371073521[/C][/ROW]
[ROW][C]116[/C][C]80.2[/C][C]90.0784605925398[/C][C]-9.87846059253981[/C][/ROW]
[ROW][C]117[/C][C]96.5[/C][C]88.0710770051459[/C][C]8.4289229948541[/C][/ROW]
[ROW][C]118[/C][C]95.6[/C][C]89.7839027557548[/C][C]5.8160972442452[/C][/ROW]
[ROW][C]119[/C][C]91.9[/C][C]90.9657810495855[/C][C]0.934218950414504[/C][/ROW]
[ROW][C]120[/C][C]89.9[/C][C]91.1556219433692[/C][C]-1.25562194336916[/C][/ROW]
[ROW][C]121[/C][C]86.3[/C][C]90.9004693457069[/C][C]-4.6004693457069[/C][/ROW]
[ROW][C]122[/C][C]94[/C][C]89.9656165341408[/C][C]4.03438346585921[/C][/ROW]
[ROW][C]123[/C][C]108[/C][C]90.7854360878813[/C][C]17.2145639121187[/C][/ROW]
[ROW][C]124[/C][C]96.3[/C][C]94.2835755740506[/C][C]2.01642442594941[/C][/ROW]
[ROW][C]125[/C][C]94.6[/C][C]94.6933294278978[/C][C]-0.0933294278978138[/C][/ROW]
[ROW][C]126[/C][C]111.7[/C][C]94.6743641285956[/C][C]17.0256358714044[/C][/ROW]
[ROW][C]127[/C][C]92[/C][C]98.1341118993173[/C][C]-6.13411189931733[/C][/ROW]
[ROW][C]128[/C][C]91.9[/C][C]96.8876104394414[/C][C]-4.98761043944144[/C][/ROW]
[ROW][C]129[/C][C]109.2[/C][C]95.8740874069145[/C][C]13.3259125930855[/C][/ROW]
[ROW][C]130[/C][C]106.8[/C][C]98.5820212976067[/C][C]8.21797870239332[/C][/ROW]
[ROW][C]131[/C][C]105.8[/C][C]100.251981451236[/C][C]5.54801854876419[/C][/ROW]
[ROW][C]132[/C][C]103.6[/C][C]101.37938397241[/C][C]2.2206160275903[/C][/ROW]
[ROW][C]133[/C][C]97.6[/C][C]101.830631221506[/C][C]-4.23063122150589[/C][/ROW]
[ROW][C]134[/C][C]102.8[/C][C]100.970932526673[/C][C]1.82906747332727[/C][/ROW]
[ROW][C]135[/C][C]124.8[/C][C]101.342613922959[/C][C]23.4573860770411[/C][/ROW]
[ROW][C]136[/C][C]103.9[/C][C]106.109345679704[/C][C]-2.20934567970404[/C][/ROW]
[ROW][C]137[/C][C]112.2[/C][C]105.660388657021[/C][C]6.53961134297892[/C][/ROW]
[ROW][C]138[/C][C]108.5[/C][C]106.989290903971[/C][C]1.51070909602913[/C][/ROW]
[ROW][C]139[/C][C]92.4[/C][C]107.296279287058[/C][C]-14.8962792870582[/C][/ROW]
[ROW][C]140[/C][C]101.1[/C][C]104.269234103858[/C][C]-3.1692341038584[/C][/ROW]
[ROW][C]141[/C][C]114.9[/C][C]103.625219941419[/C][C]11.2747800585809[/C][/ROW]
[ROW][C]142[/C][C]106.4[/C][C]105.916347008137[/C][C]0.483652991863295[/C][/ROW]
[ROW][C]143[/C][C]104[/C][C]106.014629232251[/C][C]-2.01462923225102[/C][/ROW]
[ROW][C]144[/C][C]101.6[/C][C]105.605240176373[/C][C]-4.00524017637335[/C][/ROW]
[ROW][C]145[/C][C]99.4[/C][C]104.791342776236[/C][C]-5.39134277623647[/C][/ROW]
[ROW][C]146[/C][C]102.3[/C][C]103.695778047132[/C][C]-1.39577804713234[/C][/ROW]
[ROW][C]147[/C][C]121.3[/C][C]103.412144588537[/C][C]17.8878554114628[/C][/ROW]
[ROW][C]148[/C][C]99.3[/C][C]107.047102386897[/C][C]-7.74710238689732[/C][/ROW]
[ROW][C]149[/C][C]102.9[/C][C]105.472828132763[/C][C]-2.57282813276279[/C][/ROW]
[ROW][C]150[/C][C]111.4[/C][C]104.950008517448[/C][C]6.44999148255194[/C][/ROW]
[ROW][C]151[/C][C]98.5[/C][C]106.260699279396[/C][C]-7.76069927939567[/C][/ROW]
[ROW][C]152[/C][C]98.5[/C][C]104.683662026048[/C][C]-6.18366202604835[/C][/ROW]
[ROW][C]153[/C][C]108.5[/C][C]103.427091577161[/C][C]5.07290842283867[/C][/ROW]
[ROW][C]154[/C][C]112.1[/C][C]104.457947854105[/C][C]7.64205214589515[/C][/ROW]
[ROW][C]155[/C][C]105.3[/C][C]106.010875044326[/C][C]-0.710875044325519[/C][/ROW]
[ROW][C]156[/C][C]95.2[/C][C]105.866419449924[/C][C]-10.666419449924[/C][/ROW]
[ROW][C]157[/C][C]98.2[/C][C]103.698916209975[/C][C]-5.49891620997522[/C][/ROW]
[ROW][C]158[/C][C]96.6[/C][C]102.581491683658[/C][C]-5.98149168365836[/C][/ROW]
[ROW][C]159[/C][C]109.6[/C][C]101.366003893691[/C][C]8.23399610630932[/C][/ROW]
[ROW][C]160[/C][C]108[/C][C]103.039218914152[/C][C]4.9607810858482[/C][/ROW]
[ROW][C]161[/C][C]106.7[/C][C]104.04729000368[/C][C]2.6527099963197[/C][/ROW]
[ROW][C]162[/C][C]111.5[/C][C]104.586342263781[/C][C]6.91365773621862[/C][/ROW]
[ROW][C]163[/C][C]104.5[/C][C]105.991253781981[/C][C]-1.49125378198141[/C][/ROW]
[ROW][C]164[/C][C]94.3[/C][C]105.688218877044[/C][C]-11.388218877044[/C][/ROW]
[ROW][C]165[/C][C]109.6[/C][C]103.374040119203[/C][C]6.22595988079729[/C][/ROW]
[ROW][C]166[/C][C]116.4[/C][C]104.639205836412[/C][C]11.7607941635879[/C][/ROW]
[ROW][C]167[/C][C]106.5[/C][C]107.029094924651[/C][C]-0.529094924650579[/C][/ROW]
[ROW][C]168[/C][C]100.5[/C][C]106.921578529969[/C][C]-6.42157852996868[/C][/ROW]
[ROW][C]169[/C][C]101.7[/C][C]105.616661511222[/C][C]-3.91666151122234[/C][/ROW]
[ROW][C]170[/C][C]104.1[/C][C]104.820764016734[/C][C]-0.720764016733924[/C][/ROW]
[ROW][C]171[/C][C]112.3[/C][C]104.674298902659[/C][C]7.62570109734149[/C][/ROW]
[ROW][C]172[/C][C]111.2[/C][C]106.223903426741[/C][C]4.97609657325852[/C][/ROW]
[ROW][C]173[/C][C]108.2[/C][C]107.235086747956[/C][C]0.964913252044497[/C][/ROW]
[ROW][C]174[/C][C]115.1[/C][C]107.431164973633[/C][C]7.66883502636671[/C][/ROW]
[ROW][C]175[/C][C]102.3[/C][C]108.989534663136[/C][C]-6.68953466313592[/C][/ROW]
[ROW][C]176[/C][C]93.6[/C][C]107.630166777392[/C][C]-14.0301667773924[/C][/ROW]
[ROW][C]177[/C][C]120.6[/C][C]104.779122704938[/C][C]15.8208772950622[/C][/ROW]
[ROW][C]178[/C][C]118.4[/C][C]107.994053728124[/C][C]10.4059462718758[/C][/ROW]
[ROW][C]179[/C][C]106.6[/C][C]110.108626698455[/C][C]-3.50862669845542[/C][/ROW]
[ROW][C]180[/C][C]105.3[/C][C]109.395645198677[/C][C]-4.09564519867695[/C][/ROW]
[ROW][C]181[/C][C]101.5[/C][C]108.563376762255[/C][C]-7.06337676225461[/C][/ROW]
[ROW][C]182[/C][C]100.1[/C][C]107.128041119489[/C][C]-7.02804111948885[/C][/ROW]
[ROW][C]183[/C][C]119.5[/C][C]105.699885966909[/C][C]13.8001140330909[/C][/ROW]
[ROW][C]184[/C][C]111.2[/C][C]108.504181449457[/C][C]2.69581855054254[/C][/ROW]
[ROW][C]185[/C][C]103.7[/C][C]109.051993718612[/C][C]-5.35199371861181[/C][/ROW]
[ROW][C]186[/C][C]117.8[/C][C]107.964425038256[/C][C]9.83557496174413[/C][/ROW]
[ROW][C]187[/C][C]101.7[/C][C]109.963093916451[/C][C]-8.26309391645114[/C][/ROW]
[ROW][C]188[/C][C]97.4[/C][C]108.283965984159[/C][C]-10.8839659841592[/C][/ROW]
[ROW][C]189[/C][C]120[/C][C]106.07225551797[/C][C]13.9277444820297[/C][/ROW]
[ROW][C]190[/C][C]117[/C][C]108.902486546452[/C][C]8.09751345354769[/C][/ROW]
[ROW][C]191[/C][C]110.6[/C][C]110.54796718112[/C][C]0.0520328188798942[/C][/ROW]
[ROW][C]192[/C][C]105.3[/C][C]110.558540673381[/C][C]-5.25854067338106[/C][/ROW]
[ROW][C]193[/C][C]100.9[/C][C]109.489962412375[/C][C]-8.58996241237546[/C][/ROW]
[ROW][C]194[/C][C]108.1[/C][C]107.744412141521[/C][C]0.355587858479012[/C][/ROW]
[ROW][C]195[/C][C]119.3[/C][C]107.816670488285[/C][C]11.4833295117153[/C][/ROW]
[ROW][C]196[/C][C]113[/C][C]110.150176501141[/C][C]2.84982349885922[/C][/ROW]
[ROW][C]197[/C][C]108.6[/C][C]110.729283829149[/C][C]-2.12928382914893[/C][/ROW]
[ROW][C]198[/C][C]123.3[/C][C]110.296596026075[/C][C]13.0034039739248[/C][/ROW]
[ROW][C]199[/C][C]101.4[/C][C]112.938993540646[/C][C]-11.5389935406456[/C][/ROW]
[ROW][C]200[/C][C]103.5[/C][C]110.594176144094[/C][C]-7.09417614409408[/C][/ROW]
[ROW][C]201[/C][C]119.4[/C][C]109.15258181628[/C][C]10.2474181837196[/C][/ROW]
[ROW][C]202[/C][C]113.1[/C][C]111.234940588931[/C][C]1.86505941106873[/C][/ROW]
[ROW][C]203[/C][C]112[/C][C]111.613935839884[/C][C]0.386064160116234[/C][/ROW]
[ROW][C]204[/C][C]115.8[/C][C]111.692387219169[/C][C]4.10761278083113[/C][/ROW]
[ROW][C]205[/C][C]105.4[/C][C]112.527087565682[/C][C]-7.12708756568206[/C][/ROW]
[ROW][C]206[/C][C]110.9[/C][C]111.078805369155[/C][C]-0.178805369155015[/C][/ROW]
[ROW][C]207[/C][C]128.5[/C][C]111.042470662951[/C][C]17.4575293370492[/C][/ROW]
[ROW][C]208[/C][C]109[/C][C]114.589982700819[/C][C]-5.58998270081891[/C][/ROW]
[ROW][C]209[/C][C]117.2[/C][C]113.454052722426[/C][C]3.74594727757409[/C][/ROW]
[ROW][C]210[/C][C]124.4[/C][C]114.215259695294[/C][C]10.1847403047059[/C][/ROW]
[ROW][C]211[/C][C]104.7[/C][C]116.284881812831[/C][C]-11.5848818128309[/C][/ROW]
[ROW][C]212[/C][C]108.6[/C][C]113.930739545914[/C][C]-5.33073954591359[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310014&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310014&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
2	64.8	58.4	6.4
3	73.8	59.7005320858417	14.0994679141583
4	65	62.5656587132884	2.43434128671159
5	73	63.0603366744224	9.93966332557758
6	71.1	65.0801571552627	6.01984284473727
7	58.2	66.3034382132792	-8.10343821327922
8	64	64.6567536192158	-0.656753619215849
9	75	64.5232959388591	10.4767040611409
10	74.9	66.6522474678251	8.24775253217491
11	75	68.3282579059776	6.67174209402243
12	68.3	69.684010196874	-1.38401019687399
13	72.5	69.4027680612229	3.09723193877707
14	72.4	70.0321507977344	2.36784920226562
15	79.6	70.5133170261689	9.08668297383105
16	70.7	72.3598049576282	-1.65980495762817
17	76.4	72.0225190820603	4.37748091793974
18	79.7	72.9120588303322	6.78794116966777
19	64.2	74.2914237190758	-10.0914237190758
20	67.9	72.240764291188	-4.34076429118795
21	74.1	71.358685660287	2.74131433971296
22	78.5	71.9157430440643	6.58425695593566
23	73.4	73.2537176429114	0.146282357088637
24	65.4	73.283443408378	-7.88344340837799
25	69.9	71.6814635490791	-1.78146354907908
26	69.6	71.3194556576205	-1.71945565762053
27	76.8	70.9700482743522	5.82995172564785
28	75.6	72.1547419115574	3.44525808844263
29	74	72.8548463940613	1.14515360593867
30	76	73.0875509265208	2.91244907347919
31	68.1	73.6793842809645	-5.57938428096452
32	65.5	72.5456079877403	-7.04560798774025
33	76.9	71.1138831045654	5.78611689543459
34	81.7	72.2896691475254	9.41033085247464
35	73.6	74.201924961905	-0.601924961904999
36	68.7	74.0796089109321	-5.37960891093209
37	73.3	72.9864285987528	0.31357140124716
38	71.5	73.0501488594598	-1.55014885945975
39	78.3	72.7351459954663	5.56485400453374
40	76.5	73.8659696182664	2.6340303817336
41	71.8	74.4012260286612	-2.60122602866117
42	77.6	73.8726357297861	3.7273642702139
43	70	74.6300664843225	-4.63006648432254
44	64	73.689199293316	-9.68919929331599
45	81.3	71.7202751422109	9.57972485778907
46	82.5	73.6669531970688	8.83304680293122
47	73.1	75.4619001944053	-2.36190019440531
48	78.1	74.9819428527834	3.11805714721655
49	70.7	75.615557441134	-4.91555744113396
50	74.9	74.6166761642601	0.283323835739921
51	88	74.6742498734888	13.3257501265112
52	81.3	77.3821507496508	3.91784925034915
53	75.7	78.1782896023962	-2.47828960239616
54	89.8	77.6746809858455	12.1253190141545
55	74.6	80.1386444903728	-5.53864449037282
56	74.9	79.013146854154	-4.113146854154
57	90	78.177321938903	11.822678061097
58	88.1	80.579786338752	7.52021366124795
59	84.9	82.1079549573205	2.79204504267949
60	87.7	82.675321232808	5.02467876719199
61	80.5	83.6963768512113	-3.19637685121128
62	79	83.046847061611	-4.04684706161098
63	89.9	82.2244948037798	7.67550519622017
64	86.3	83.7842199260813	2.51578007391872
65	81.1	84.2954469115582	-3.19544691155825
66	92.4	83.6461060932637	8.75389390673635
67	71.8	85.4249685779144	-13.6249685779144
68	76.1	82.656264077264	-6.55626407726396
69	92.5	81.3239778591806	11.1760221408194
70	87	83.5950365132764	3.40496348672357
71	89.5	84.286952804777	5.21304719522303
72	88.7	85.3462864207762	3.35371357922385
73	83.8	86.0277883139799	-2.22778831397987
74	84.9	85.5750835979183	-0.675083597918288
75	99	85.4379011167123	13.5620988832877
76	84.6	88.1938299837551	-3.59382998375511
77	92.7	87.4635344829842	5.23646551701576
78	97.6	88.5276268925597	9.07237310744031
79	78	90.3712069427087	-12.3712069427087
80	81.9	87.8572770099617	-5.95727700996173
81	96.5	86.6467098387582	9.85329016124177
82	99.9	88.648978589665	11.251021410335
83	96.2	90.9352777057014	5.26472229429858
84	90.5	92.005112122386	-1.50511212238604
85	91.4	91.6992610898935	-0.299261089893463
86	89.7	91.6384488009168	-1.93844880091683
87	102.7	91.2445402286741	11.4554597713259
88	91.5	93.5723828834676	-2.07238288346758
89	96.2	93.1512578156397	3.04874218436035
90	104.5	93.770787039424	10.729212960576
91	90.3	95.9510504317768	-5.65105043177681
92	90.3	94.8027109934588	-4.50271099345876
93	100.4	93.8877234746673	6.51227652533271
94	111.3	95.2110710642093	16.0889289357907
95	101.3	98.4804723623067	2.8195276376933
96	94.4	99.0534233247657	-4.65342332476571
97	100.4	98.1078098336935	2.29219016630648
98	102	98.5736015302767	3.42639846972328
99	104.3	99.2698735847696	5.03012641523044
100	108.8	100.292036209589	8.50796379041056
101	101.3	102.020923693122	-0.720923693122032
102	108.9	101.874426131505	7.02557386849496
103	98.5	103.302079918603	-4.80207991860331
104	88.8	102.326258197835	-13.5262581978346
105	111.8	99.5776124497621	12.2223875502379
106	109.6	102.061301070805	7.5386989291946
107	92.5	103.593226046261	-11.0932260462614
108	94.5	101.338992232409	-6.83899223240854
109	80.8	99.9492533522414	-19.1492533522414
110	83.7	96.0579692265379	-12.3579692265379
111	94.2	93.5467293054509	0.653270694549136
112	86.2	93.6794792271698	-7.47947922716982
113	89	92.1595881771197	-3.15958817711966
114	94.7	91.5175341454962	3.18246585450383
115	81.9	92.1642371073521	-10.2642371073521
116	80.2	90.0784605925398	-9.87846059253981
117	96.5	88.0710770051459	8.4289229948541
118	95.6	89.7839027557548	5.8160972442452
119	91.9	90.9657810495855	0.934218950414504
120	89.9	91.1556219433692	-1.25562194336916
121	86.3	90.9004693457069	-4.6004693457069
122	94	89.9656165341408	4.03438346585921
123	108	90.7854360878813	17.2145639121187
124	96.3	94.2835755740506	2.01642442594941
125	94.6	94.6933294278978	-0.0933294278978138
126	111.7	94.6743641285956	17.0256358714044
127	92	98.1341118993173	-6.13411189931733
128	91.9	96.8876104394414	-4.98761043944144
129	109.2	95.8740874069145	13.3259125930855
130	106.8	98.5820212976067	8.21797870239332
131	105.8	100.251981451236	5.54801854876419
132	103.6	101.37938397241	2.2206160275903
133	97.6	101.830631221506	-4.23063122150589
134	102.8	100.970932526673	1.82906747332727
135	124.8	101.342613922959	23.4573860770411
136	103.9	106.109345679704	-2.20934567970404
137	112.2	105.660388657021	6.53961134297892
138	108.5	106.989290903971	1.51070909602913
139	92.4	107.296279287058	-14.8962792870582
140	101.1	104.269234103858	-3.1692341038584
141	114.9	103.625219941419	11.2747800585809
142	106.4	105.916347008137	0.483652991863295
143	104	106.014629232251	-2.01462923225102
144	101.6	105.605240176373	-4.00524017637335
145	99.4	104.791342776236	-5.39134277623647
146	102.3	103.695778047132	-1.39577804713234
147	121.3	103.412144588537	17.8878554114628
148	99.3	107.047102386897	-7.74710238689732
149	102.9	105.472828132763	-2.57282813276279
150	111.4	104.950008517448	6.44999148255194
151	98.5	106.260699279396	-7.76069927939567
152	98.5	104.683662026048	-6.18366202604835
153	108.5	103.427091577161	5.07290842283867
154	112.1	104.457947854105	7.64205214589515
155	105.3	106.010875044326	-0.710875044325519
156	95.2	105.866419449924	-10.666419449924
157	98.2	103.698916209975	-5.49891620997522
158	96.6	102.581491683658	-5.98149168365836
159	109.6	101.366003893691	8.23399610630932
160	108	103.039218914152	4.9607810858482
161	106.7	104.04729000368	2.6527099963197
162	111.5	104.586342263781	6.91365773621862
163	104.5	105.991253781981	-1.49125378198141
164	94.3	105.688218877044	-11.388218877044
165	109.6	103.374040119203	6.22595988079729
166	116.4	104.639205836412	11.7607941635879
167	106.5	107.029094924651	-0.529094924650579
168	100.5	106.921578529969	-6.42157852996868
169	101.7	105.616661511222	-3.91666151122234
170	104.1	104.820764016734	-0.720764016733924
171	112.3	104.674298902659	7.62570109734149
172	111.2	106.223903426741	4.97609657325852
173	108.2	107.235086747956	0.964913252044497
174	115.1	107.431164973633	7.66883502636671
175	102.3	108.989534663136	-6.68953466313592
176	93.6	107.630166777392	-14.0301667773924
177	120.6	104.779122704938	15.8208772950622
178	118.4	107.994053728124	10.4059462718758
179	106.6	110.108626698455	-3.50862669845542
180	105.3	109.395645198677	-4.09564519867695
181	101.5	108.563376762255	-7.06337676225461
182	100.1	107.128041119489	-7.02804111948885
183	119.5	105.699885966909	13.8001140330909
184	111.2	108.504181449457	2.69581855054254
185	103.7	109.051993718612	-5.35199371861181
186	117.8	107.964425038256	9.83557496174413
187	101.7	109.963093916451	-8.26309391645114
188	97.4	108.283965984159	-10.8839659841592
189	120	106.07225551797	13.9277444820297
190	117	108.902486546452	8.09751345354769
191	110.6	110.54796718112	0.0520328188798942
192	105.3	110.558540673381	-5.25854067338106
193	100.9	109.489962412375	-8.58996241237546
194	108.1	107.744412141521	0.355587858479012
195	119.3	107.816670488285	11.4833295117153
196	113	110.150176501141	2.84982349885922
197	108.6	110.729283829149	-2.12928382914893
198	123.3	110.296596026075	13.0034039739248
199	101.4	112.938993540646	-11.5389935406456
200	103.5	110.594176144094	-7.09417614409408
201	119.4	109.15258181628	10.2474181837196
202	113.1	111.234940588931	1.86505941106873
203	112	111.613935839884	0.386064160116234
204	115.8	111.692387219169	4.10761278083113
205	105.4	112.527087565682	-7.12708756568206
206	110.9	111.078805369155	-0.178805369155015
207	128.5	111.042470662951	17.4575293370492
208	109	114.589982700819	-5.58998270081891
209	117.2	113.454052722426	3.74594727757409
210	124.4	114.215259695294	10.1847403047059
211	104.7	116.284881812831	-11.5848818128309
212	108.6	113.930739545914	-5.33073954591359

Extrapolation Forecasts of Exponential Smoothing
t	Forecast	95% Lower Bound	95% Upper Bound
213	112.847489886425	98.0262601219417	127.668719650909
214	112.847489886425	97.7233450213878	127.971634751463
215	112.847489886425	97.4263788996752	128.268600873175
216	112.847489886425	97.1350244454867	128.559955327364
217	112.847489886425	96.8489750678644	128.846004704986
218	112.847489886425	96.5679511163391	129.127028656511
219	112.847489886425	96.2916966787967	129.403283094054
220	112.847489886425	96.0199768526824	129.675002920168
221	112.847489886425	95.7525754067383	129.942404366112
222	112.847489886425	95.4892927670573	130.205687005793
223	112.847489886425	95.2299442741142	130.465035498736
224	112.847489886425	94.974358667501	130.720621105349

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 112.847489886425 & 98.0262601219417 & 127.668719650909 \tabularnewline
214 & 112.847489886425 & 97.7233450213878 & 127.971634751463 \tabularnewline
215 & 112.847489886425 & 97.4263788996752 & 128.268600873175 \tabularnewline
216 & 112.847489886425 & 97.1350244454867 & 128.559955327364 \tabularnewline
217 & 112.847489886425 & 96.8489750678644 & 128.846004704986 \tabularnewline
218 & 112.847489886425 & 96.5679511163391 & 129.127028656511 \tabularnewline
219 & 112.847489886425 & 96.2916966787967 & 129.403283094054 \tabularnewline
220 & 112.847489886425 & 96.0199768526824 & 129.675002920168 \tabularnewline
221 & 112.847489886425 & 95.7525754067383 & 129.942404366112 \tabularnewline
222 & 112.847489886425 & 95.4892927670573 & 130.205687005793 \tabularnewline
223 & 112.847489886425 & 95.2299442741142 & 130.465035498736 \tabularnewline
224 & 112.847489886425 & 94.974358667501 & 130.720621105349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310014&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]213[/C][C]112.847489886425[/C][C]98.0262601219417[/C][C]127.668719650909[/C][/ROW]
[ROW][C]214[/C][C]112.847489886425[/C][C]97.7233450213878[/C][C]127.971634751463[/C][/ROW]
[ROW][C]215[/C][C]112.847489886425[/C][C]97.4263788996752[/C][C]128.268600873175[/C][/ROW]
[ROW][C]216[/C][C]112.847489886425[/C][C]97.1350244454867[/C][C]128.559955327364[/C][/ROW]
[ROW][C]217[/C][C]112.847489886425[/C][C]96.8489750678644[/C][C]128.846004704986[/C][/ROW]
[ROW][C]218[/C][C]112.847489886425[/C][C]96.5679511163391[/C][C]129.127028656511[/C][/ROW]
[ROW][C]219[/C][C]112.847489886425[/C][C]96.2916966787967[/C][C]129.403283094054[/C][/ROW]
[ROW][C]220[/C][C]112.847489886425[/C][C]96.0199768526824[/C][C]129.675002920168[/C][/ROW]
[ROW][C]221[/C][C]112.847489886425[/C][C]95.7525754067383[/C][C]129.942404366112[/C][/ROW]
[ROW][C]222[/C][C]112.847489886425[/C][C]95.4892927670573[/C][C]130.205687005793[/C][/ROW]
[ROW][C]223[/C][C]112.847489886425[/C][C]95.2299442741142[/C][C]130.465035498736[/C][/ROW]
[ROW][C]224[/C][C]112.847489886425[/C][C]94.974358667501[/C][C]130.720621105349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310014&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310014&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
213	112.847489886425	98.0262601219417	127.668719650909
214	112.847489886425	97.7233450213878	127.971634751463
215	112.847489886425	97.4263788996752	128.268600873175
216	112.847489886425	97.1350244454867	128.559955327364
217	112.847489886425	96.8489750678644	128.846004704986
218	112.847489886425	96.5679511163391	129.127028656511
219	112.847489886425	96.2916966787967	129.403283094054
220	112.847489886425	96.0199768526824	129.675002920168
221	112.847489886425	95.7525754067383	129.942404366112
222	112.847489886425	95.4892927670573	130.205687005793
223	112.847489886425	95.2299442741142	130.465035498736
224	112.847489886425	94.974358667501	130.720621105349

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 = Single ; par3 = multiplicative ; par4 = 12 ;

Parameters (R input):

par1 = 12 ; par2 = Single ; par3 = multiplicative ; par4 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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