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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 04 Dec 2017 14:29:17 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/04/t1512394183l792y9k3w54v89j.htm/, Retrieved Tue, 14 May 2024 21:41:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308500, Retrieved Tue, 14 May 2024 21:41:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-04 13:29:17] [8329b9b38c877eb1bcf8703660df8d0b] [Current]
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Dataseries X:
35
36.1
40.1
35.4
37.4
39.9
32
32.6
44.9
36.3
43.7
39.8
42.6
48.6
49.1
46.9
45.7
56.1
38.3
40.6
46.5
51.4
47
44.6
51
51.1
54.9
52.1
48.7
50.5
47.5
44.6
50.3
54.3
50
44.8
57.6
47.2
59.1
53.9
45.7
54.5
52.8
52.9
66
63.7
54.4
74.4
50.1
62.5
77.2
65.6
58.2
72.6
68.6
63.1
76.9
70.6
71.4
90.6
71.9
60.9
72.9
69.2
64.8
70.2
63
62.2
82.8
77.6
71.2
70.6
71.1
74
87.9
68.3
68.1
75.7
62.7
66.2
81.3
84
80
80.8
67.3
61.9
77.2
65.6
68.7
82
81.4
70.9
71.2
71.9
71.6
76.4
75.6
73.2
80.2
74
69.5
82
82.8
64.5
92.6
82
78.4
103.8
66.6
73.3
92.3
73.6
74.9
83.6
83.3
70.9
82.5
81.7
83.1
92.4
86.9
110.1
112.1
81.5
84.3
113.5
100.3
93.2
100.4
94.4
110.2
113
94.6
111
160.1
110.1
102.8
112.4
105.4
130.4
117.2
103.9
92.2
95.8
93.1
93.9
147.6
89.6
83
99.2
118.3
110.9
124.4
115.8
112.7
111.9
108.6
102.5
141.9
137.7
121.3
142.8
143
121.1
130.2
146.3
143.7
139.3
109.3
141.3
152.7
152.2
151.8
180.5
129
126.1
187.9
170
168.4
157.1
133.9
103.1
166.3
148
131.4
136.3
135.8
151.8
172.2
154.4
158
146.2
128
124.7
160.3
148.1
139.7
194
188.7
172.2
184.8
160.5
139.7
219.8
143.9
166.2
182.7
152.7
146.8
177.1
186
189.2




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308500&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308500&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308500&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 Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.161122117987419
beta0
gamma0.211769788889297

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.161122117987419 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.211769788889297 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308500&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]0.161122117987419[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.211769788889297[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308500&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308500&T=1

As an alternative you can also use a QR Code:  

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

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.161122117987419
beta0
gamma0.211769788889297







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1342.636.89813034188035.70186965811966
1448.643.98168779754494.61831220245507
1549.145.58649351432513.5135064856749
1646.944.01745726071972.88254273928028
1745.743.27592545858862.42407454141139
1856.154.48969095605371.61030904394632
1938.339.5765074996887-1.27650749968874
2040.639.89402738090550.705972619094474
2146.552.1726353243953-5.6726353243953
2251.442.56517511288538.83482488711471
234751.3243542839387-4.32435428393865
2444.646.4674653026426-1.86746530264262
255149.80270020815951.19729979184049
2651.155.9679789365982-4.86797893659816
2754.955.8480657112916-0.948065711291584
2852.153.4480814222357-1.34808142223569
2948.751.9434560815872-3.24345608158715
3050.562.0994924209852-11.5994924209852
3147.544.54507772539592.95492227460413
3244.645.8965601286794-1.29656012867944
3350.356.7193624831268-6.41936248312677
3454.349.56882369297464.73117630702537
355055.3290993983363-5.3290993983363
3644.850.7467876070994-5.94678760709938
3757.653.96920589265233.63079410734775
3847.259.4490837271448-12.2490837271448
3959.158.83627989801410.263720101985918
4053.956.5604787179161-2.66047871791611
4145.754.5076857476927-8.8076857476927
4254.562.2827601856963-7.78276018569628
4352.847.92888257114454.87111742885552
4452.948.8338348328044.06616516719602
456659.61063017073896.38936982926111
4663.756.50474343557147.1952565644286
4754.460.8748391328216-6.47483913282156
4874.455.998191641258818.4018083587412
4950.164.8451550160034-14.7451550160034
5062.564.5432167176859-2.04321671768591
5177.267.79769078407699.40230921592305
5265.666.4748374647353-0.874837464735322
5358.263.617705662872-5.41770566287202
5472.672.12105786501790.478942134982063
5568.661.34627182938987.25372817061022
5663.162.49211642222640.607883577773613
5776.973.12442107225043.77557892774958
5870.669.74055977720590.85944022279412
5971.470.66133660545730.738663394542684
6090.671.366255269871919.2337447301281
6171.974.4587373641599-2.55873736415988
6260.978.3767870234458-17.4767870234458
6372.981.1778576988254-8.27785769882536
6469.275.1806136915824-5.98061369158239
6564.870.6937924539931-5.89379245399314
6670.280.1679700813441-9.96797008134411
676368.9134893330868-5.91348933308682
6862.266.7571763609688-4.55717636096884
6982.877.12001349994645.67998650005357
7077.673.52494528506034.07505471493974
7171.274.9423728491241-3.74237284912412
7270.678.2109300189931-7.61093001899313
7371.173.1067287842769-2.00672878427687
747474.4635427508553-0.463542750855254
7587.981.64000389906496.25999610093508
7668.378.3932327692443-10.0932327692443
7768.173.2592013407267-5.15920134072672
7875.782.1279642954649-6.42796429546489
7962.772.1641311950371-9.4641311950371
8066.269.67667891821-3.47667891820996
8181.382.0322297566171-0.732229756617073
828477.11889716364436.88110283635568
838077.59968301759072.40031698240932
8480.881.1707181016207-0.370718101620753
8567.378.2286558458968-10.9286558458968
8661.978.4220954710492-16.5220954710492
8777.284.2055984927121-7.00559849271205
8865.675.9163120412325-10.3163120412325
8968.771.6228633175955-2.92286331759553
908280.62655533118851.3734446688115
9181.471.380329777185910.0196702228141
9270.973.0958137127421-2.19581371274214
9371.286.1452888930017-14.9452888930017
9471.980.2944189696268-8.39441896962678
9571.677.5179733066087-5.91797330660872
9676.479.2564762518252-2.85647625182524
9775.674.03829638050191.56170361949812
9873.275.2505402660464-2.0505402660464
9980.285.0563270082716-4.85632700827163
1007476.5251908058735-2.52519080587351
10169.574.8005027501673-5.3005027501673
1028284.1843392455849-2.18433924558488
10382.875.90086926603366.89913073396643
10464.574.9434968622119-10.4434968622119
10592.684.39915645092188.20084354907816
1068283.4413958482968-1.44139584829681
10778.482.2251740727256-3.8251740727256
108103.884.844745128752818.9552548712472
10966.683.9258027734678-17.3258027734678
11073.381.4531401404321-8.15314014043213
11192.389.77721787920592.52278212079412
11273.682.8491433650619-9.24914336506188
11374.979.5480464624448-4.64804646244482
11483.689.5905914022613-5.99059140226126
11583.382.30751929915910.9924807008409
11670.977.317554621084-6.41755462108398
11782.590.7340308307343-8.23403083073433
11881.785.4153143498254-3.71531434982536
11983.183.409238210489-0.309238210488957
12092.490.64222453806411.75777546193586
12186.980.50709455783726.39290544216279
122110.183.485554698939926.6144453010601
123112.199.308026269494612.7919737305054
12481.591.9432749613269-10.4432749613269
12584.389.2671572735056-4.96715727350563
126113.599.019784648328114.4802153516719
127100.396.27554800635454.02445199364546
12893.290.4577156591942.74228434080599
129100.4105.027349355212-4.62734935521188
13094.4101.092494460412-6.6924944604116
131110.299.211814748779910.9881852512201
132113108.6322687676174.36773123238314
13394.699.7410865576508-5.14108655765084
134111104.4535016510646.54649834893634
135160.1114.58703496388445.5129650361165
136110.1108.3666405690691.73335943093147
137102.8108.625274791679-5.82527479167908
138112.4121.694446597969-9.29444659796891
139105.4113.262130247324-7.86213024732352
140130.4105.30133080279325.0986691972069
141117.2122.163864580074-4.96386458007362
142103.9117.807918693282-13.9079186932822
14392.2117.905629475325-25.7056294753247
14495.8120.237781365502-24.4377813655016
14593.1105.016162060752-11.916162060752
14693.9110.71325031689-16.8132503168895
147147.6124.00536497692823.5946350230719
14889.6106.476040022722-16.8760400227216
14983102.393504640511-19.3935046405107
15099.2112.660239641832-13.4602396418318
151118.3103.81117144874714.4888285512527
152110.9105.3070586209935.5929413790069
153124.4113.6862093974910.7137906025105
154115.8110.2673783213875.53262167861304
155112.7111.4015387148951.2984612851052
156111.9118.309878841408-6.4098788414076
157108.6108.2174064216280.382593578371953
158102.5115.026133442622-12.5261334426223
159141.9136.1874175520975.71258244790283
160137.7108.58732378647529.1126762135254
161121.3111.467362716089.8326372839196
162142.8127.49711415101915.3028858489815
163143128.24754544816914.7524545518306
164121.1128.205563211088-7.105563211088
165130.2135.448417735381-5.24841773538063
166146.3128.53729240752417.762707592476
167143.7130.88979582086312.8102041791371
168139.3138.2835534908921.01644650910754
169109.3130.594302218862-21.2943022188618
170141.3131.6171795346189.68282046538189
171152.7159.596906828955-6.8969068289552
172152.2134.12214851395218.0778514860478
173151.8131.79915363071220.0008463692885
174180.5150.43901259307430.0609874069261
175129153.469516905622-24.4695169056224
176126.1143.224952733461-17.1249527334608
177187.9149.18338201868338.7166179813169
178170153.4438995816616.5561004183403
179168.4154.72218465237713.6778153476227
180157.1160.160584509753-3.06058450975272
181133.9147.850951343071-13.9509513430712
182103.1155.560059524285-52.4600595242853
183166.3170.581822535745-4.28182253574494
184148149.965152780327-1.96515278032672
185131.4144.754404701443-13.3544047014429
186136.3159.807168879777-23.5071688797768
187135.8144.51936927157-8.71936927157049
188151.8138.11725666652213.682743333478
189172.2158.95968594029413.2403140597058
190154.4155.178613850163-0.778613850162515
191158153.1525686017954.84743139820526
192146.2154.194638432615-7.99463843261543
193128139.155357357412-11.1553573574117
194124.7140.473793312275-15.7737933122751
195160.3169.965340473141-9.66534047314124
196148.1148.892820952222-0.792820952221746
197139.7141.8476723373-2.14767233729987
198194156.90246064779437.0975393522058
199188.7154.00645768390134.6935423160993
200172.2158.57883806431613.621161935684
201184.8179.332748098345.46725190166009
202160.5171.80881535826-11.3088153582599
203139.7169.085583007267-29.3855830072667
204219.8162.33057629163157.4694237083687
205143.9157.277505029728-13.377505029728
206166.2157.4174433532528.78255664674808
207182.7191.950722118972-9.25072211897168
208152.7172.521200934626-19.8212009346263
209146.8162.169471452231-15.3694714522312
210177.1182.065807782316-4.96580778231603
211186171.96540158828714.0345984117134
212189.2169.46568203829219.7343179617075

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 42.6 & 36.8981303418803 & 5.70186965811966 \tabularnewline
14 & 48.6 & 43.9816877975449 & 4.61831220245507 \tabularnewline
15 & 49.1 & 45.5864935143251 & 3.5135064856749 \tabularnewline
16 & 46.9 & 44.0174572607197 & 2.88254273928028 \tabularnewline
17 & 45.7 & 43.2759254585886 & 2.42407454141139 \tabularnewline
18 & 56.1 & 54.4896909560537 & 1.61030904394632 \tabularnewline
19 & 38.3 & 39.5765074996887 & -1.27650749968874 \tabularnewline
20 & 40.6 & 39.8940273809055 & 0.705972619094474 \tabularnewline
21 & 46.5 & 52.1726353243953 & -5.6726353243953 \tabularnewline
22 & 51.4 & 42.5651751128853 & 8.83482488711471 \tabularnewline
23 & 47 & 51.3243542839387 & -4.32435428393865 \tabularnewline
24 & 44.6 & 46.4674653026426 & -1.86746530264262 \tabularnewline
25 & 51 & 49.8027002081595 & 1.19729979184049 \tabularnewline
26 & 51.1 & 55.9679789365982 & -4.86797893659816 \tabularnewline
27 & 54.9 & 55.8480657112916 & -0.948065711291584 \tabularnewline
28 & 52.1 & 53.4480814222357 & -1.34808142223569 \tabularnewline
29 & 48.7 & 51.9434560815872 & -3.24345608158715 \tabularnewline
30 & 50.5 & 62.0994924209852 & -11.5994924209852 \tabularnewline
31 & 47.5 & 44.5450777253959 & 2.95492227460413 \tabularnewline
32 & 44.6 & 45.8965601286794 & -1.29656012867944 \tabularnewline
33 & 50.3 & 56.7193624831268 & -6.41936248312677 \tabularnewline
34 & 54.3 & 49.5688236929746 & 4.73117630702537 \tabularnewline
35 & 50 & 55.3290993983363 & -5.3290993983363 \tabularnewline
36 & 44.8 & 50.7467876070994 & -5.94678760709938 \tabularnewline
37 & 57.6 & 53.9692058926523 & 3.63079410734775 \tabularnewline
38 & 47.2 & 59.4490837271448 & -12.2490837271448 \tabularnewline
39 & 59.1 & 58.8362798980141 & 0.263720101985918 \tabularnewline
40 & 53.9 & 56.5604787179161 & -2.66047871791611 \tabularnewline
41 & 45.7 & 54.5076857476927 & -8.8076857476927 \tabularnewline
42 & 54.5 & 62.2827601856963 & -7.78276018569628 \tabularnewline
43 & 52.8 & 47.9288825711445 & 4.87111742885552 \tabularnewline
44 & 52.9 & 48.833834832804 & 4.06616516719602 \tabularnewline
45 & 66 & 59.6106301707389 & 6.38936982926111 \tabularnewline
46 & 63.7 & 56.5047434355714 & 7.1952565644286 \tabularnewline
47 & 54.4 & 60.8748391328216 & -6.47483913282156 \tabularnewline
48 & 74.4 & 55.9981916412588 & 18.4018083587412 \tabularnewline
49 & 50.1 & 64.8451550160034 & -14.7451550160034 \tabularnewline
50 & 62.5 & 64.5432167176859 & -2.04321671768591 \tabularnewline
51 & 77.2 & 67.7976907840769 & 9.40230921592305 \tabularnewline
52 & 65.6 & 66.4748374647353 & -0.874837464735322 \tabularnewline
53 & 58.2 & 63.617705662872 & -5.41770566287202 \tabularnewline
54 & 72.6 & 72.1210578650179 & 0.478942134982063 \tabularnewline
55 & 68.6 & 61.3462718293898 & 7.25372817061022 \tabularnewline
56 & 63.1 & 62.4921164222264 & 0.607883577773613 \tabularnewline
57 & 76.9 & 73.1244210722504 & 3.77557892774958 \tabularnewline
58 & 70.6 & 69.7405597772059 & 0.85944022279412 \tabularnewline
59 & 71.4 & 70.6613366054573 & 0.738663394542684 \tabularnewline
60 & 90.6 & 71.3662552698719 & 19.2337447301281 \tabularnewline
61 & 71.9 & 74.4587373641599 & -2.55873736415988 \tabularnewline
62 & 60.9 & 78.3767870234458 & -17.4767870234458 \tabularnewline
63 & 72.9 & 81.1778576988254 & -8.27785769882536 \tabularnewline
64 & 69.2 & 75.1806136915824 & -5.98061369158239 \tabularnewline
65 & 64.8 & 70.6937924539931 & -5.89379245399314 \tabularnewline
66 & 70.2 & 80.1679700813441 & -9.96797008134411 \tabularnewline
67 & 63 & 68.9134893330868 & -5.91348933308682 \tabularnewline
68 & 62.2 & 66.7571763609688 & -4.55717636096884 \tabularnewline
69 & 82.8 & 77.1200134999464 & 5.67998650005357 \tabularnewline
70 & 77.6 & 73.5249452850603 & 4.07505471493974 \tabularnewline
71 & 71.2 & 74.9423728491241 & -3.74237284912412 \tabularnewline
72 & 70.6 & 78.2109300189931 & -7.61093001899313 \tabularnewline
73 & 71.1 & 73.1067287842769 & -2.00672878427687 \tabularnewline
74 & 74 & 74.4635427508553 & -0.463542750855254 \tabularnewline
75 & 87.9 & 81.6400038990649 & 6.25999610093508 \tabularnewline
76 & 68.3 & 78.3932327692443 & -10.0932327692443 \tabularnewline
77 & 68.1 & 73.2592013407267 & -5.15920134072672 \tabularnewline
78 & 75.7 & 82.1279642954649 & -6.42796429546489 \tabularnewline
79 & 62.7 & 72.1641311950371 & -9.4641311950371 \tabularnewline
80 & 66.2 & 69.67667891821 & -3.47667891820996 \tabularnewline
81 & 81.3 & 82.0322297566171 & -0.732229756617073 \tabularnewline
82 & 84 & 77.1188971636443 & 6.88110283635568 \tabularnewline
83 & 80 & 77.5996830175907 & 2.40031698240932 \tabularnewline
84 & 80.8 & 81.1707181016207 & -0.370718101620753 \tabularnewline
85 & 67.3 & 78.2286558458968 & -10.9286558458968 \tabularnewline
86 & 61.9 & 78.4220954710492 & -16.5220954710492 \tabularnewline
87 & 77.2 & 84.2055984927121 & -7.00559849271205 \tabularnewline
88 & 65.6 & 75.9163120412325 & -10.3163120412325 \tabularnewline
89 & 68.7 & 71.6228633175955 & -2.92286331759553 \tabularnewline
90 & 82 & 80.6265553311885 & 1.3734446688115 \tabularnewline
91 & 81.4 & 71.3803297771859 & 10.0196702228141 \tabularnewline
92 & 70.9 & 73.0958137127421 & -2.19581371274214 \tabularnewline
93 & 71.2 & 86.1452888930017 & -14.9452888930017 \tabularnewline
94 & 71.9 & 80.2944189696268 & -8.39441896962678 \tabularnewline
95 & 71.6 & 77.5179733066087 & -5.91797330660872 \tabularnewline
96 & 76.4 & 79.2564762518252 & -2.85647625182524 \tabularnewline
97 & 75.6 & 74.0382963805019 & 1.56170361949812 \tabularnewline
98 & 73.2 & 75.2505402660464 & -2.0505402660464 \tabularnewline
99 & 80.2 & 85.0563270082716 & -4.85632700827163 \tabularnewline
100 & 74 & 76.5251908058735 & -2.52519080587351 \tabularnewline
101 & 69.5 & 74.8005027501673 & -5.3005027501673 \tabularnewline
102 & 82 & 84.1843392455849 & -2.18433924558488 \tabularnewline
103 & 82.8 & 75.9008692660336 & 6.89913073396643 \tabularnewline
104 & 64.5 & 74.9434968622119 & -10.4434968622119 \tabularnewline
105 & 92.6 & 84.3991564509218 & 8.20084354907816 \tabularnewline
106 & 82 & 83.4413958482968 & -1.44139584829681 \tabularnewline
107 & 78.4 & 82.2251740727256 & -3.8251740727256 \tabularnewline
108 & 103.8 & 84.8447451287528 & 18.9552548712472 \tabularnewline
109 & 66.6 & 83.9258027734678 & -17.3258027734678 \tabularnewline
110 & 73.3 & 81.4531401404321 & -8.15314014043213 \tabularnewline
111 & 92.3 & 89.7772178792059 & 2.52278212079412 \tabularnewline
112 & 73.6 & 82.8491433650619 & -9.24914336506188 \tabularnewline
113 & 74.9 & 79.5480464624448 & -4.64804646244482 \tabularnewline
114 & 83.6 & 89.5905914022613 & -5.99059140226126 \tabularnewline
115 & 83.3 & 82.3075192991591 & 0.9924807008409 \tabularnewline
116 & 70.9 & 77.317554621084 & -6.41755462108398 \tabularnewline
117 & 82.5 & 90.7340308307343 & -8.23403083073433 \tabularnewline
118 & 81.7 & 85.4153143498254 & -3.71531434982536 \tabularnewline
119 & 83.1 & 83.409238210489 & -0.309238210488957 \tabularnewline
120 & 92.4 & 90.6422245380641 & 1.75777546193586 \tabularnewline
121 & 86.9 & 80.5070945578372 & 6.39290544216279 \tabularnewline
122 & 110.1 & 83.4855546989399 & 26.6144453010601 \tabularnewline
123 & 112.1 & 99.3080262694946 & 12.7919737305054 \tabularnewline
124 & 81.5 & 91.9432749613269 & -10.4432749613269 \tabularnewline
125 & 84.3 & 89.2671572735056 & -4.96715727350563 \tabularnewline
126 & 113.5 & 99.0197846483281 & 14.4802153516719 \tabularnewline
127 & 100.3 & 96.2755480063545 & 4.02445199364546 \tabularnewline
128 & 93.2 & 90.457715659194 & 2.74228434080599 \tabularnewline
129 & 100.4 & 105.027349355212 & -4.62734935521188 \tabularnewline
130 & 94.4 & 101.092494460412 & -6.6924944604116 \tabularnewline
131 & 110.2 & 99.2118147487799 & 10.9881852512201 \tabularnewline
132 & 113 & 108.632268767617 & 4.36773123238314 \tabularnewline
133 & 94.6 & 99.7410865576508 & -5.14108655765084 \tabularnewline
134 & 111 & 104.453501651064 & 6.54649834893634 \tabularnewline
135 & 160.1 & 114.587034963884 & 45.5129650361165 \tabularnewline
136 & 110.1 & 108.366640569069 & 1.73335943093147 \tabularnewline
137 & 102.8 & 108.625274791679 & -5.82527479167908 \tabularnewline
138 & 112.4 & 121.694446597969 & -9.29444659796891 \tabularnewline
139 & 105.4 & 113.262130247324 & -7.86213024732352 \tabularnewline
140 & 130.4 & 105.301330802793 & 25.0986691972069 \tabularnewline
141 & 117.2 & 122.163864580074 & -4.96386458007362 \tabularnewline
142 & 103.9 & 117.807918693282 & -13.9079186932822 \tabularnewline
143 & 92.2 & 117.905629475325 & -25.7056294753247 \tabularnewline
144 & 95.8 & 120.237781365502 & -24.4377813655016 \tabularnewline
145 & 93.1 & 105.016162060752 & -11.916162060752 \tabularnewline
146 & 93.9 & 110.71325031689 & -16.8132503168895 \tabularnewline
147 & 147.6 & 124.005364976928 & 23.5946350230719 \tabularnewline
148 & 89.6 & 106.476040022722 & -16.8760400227216 \tabularnewline
149 & 83 & 102.393504640511 & -19.3935046405107 \tabularnewline
150 & 99.2 & 112.660239641832 & -13.4602396418318 \tabularnewline
151 & 118.3 & 103.811171448747 & 14.4888285512527 \tabularnewline
152 & 110.9 & 105.307058620993 & 5.5929413790069 \tabularnewline
153 & 124.4 & 113.68620939749 & 10.7137906025105 \tabularnewline
154 & 115.8 & 110.267378321387 & 5.53262167861304 \tabularnewline
155 & 112.7 & 111.401538714895 & 1.2984612851052 \tabularnewline
156 & 111.9 & 118.309878841408 & -6.4098788414076 \tabularnewline
157 & 108.6 & 108.217406421628 & 0.382593578371953 \tabularnewline
158 & 102.5 & 115.026133442622 & -12.5261334426223 \tabularnewline
159 & 141.9 & 136.187417552097 & 5.71258244790283 \tabularnewline
160 & 137.7 & 108.587323786475 & 29.1126762135254 \tabularnewline
161 & 121.3 & 111.46736271608 & 9.8326372839196 \tabularnewline
162 & 142.8 & 127.497114151019 & 15.3028858489815 \tabularnewline
163 & 143 & 128.247545448169 & 14.7524545518306 \tabularnewline
164 & 121.1 & 128.205563211088 & -7.105563211088 \tabularnewline
165 & 130.2 & 135.448417735381 & -5.24841773538063 \tabularnewline
166 & 146.3 & 128.537292407524 & 17.762707592476 \tabularnewline
167 & 143.7 & 130.889795820863 & 12.8102041791371 \tabularnewline
168 & 139.3 & 138.283553490892 & 1.01644650910754 \tabularnewline
169 & 109.3 & 130.594302218862 & -21.2943022188618 \tabularnewline
170 & 141.3 & 131.617179534618 & 9.68282046538189 \tabularnewline
171 & 152.7 & 159.596906828955 & -6.8969068289552 \tabularnewline
172 & 152.2 & 134.122148513952 & 18.0778514860478 \tabularnewline
173 & 151.8 & 131.799153630712 & 20.0008463692885 \tabularnewline
174 & 180.5 & 150.439012593074 & 30.0609874069261 \tabularnewline
175 & 129 & 153.469516905622 & -24.4695169056224 \tabularnewline
176 & 126.1 & 143.224952733461 & -17.1249527334608 \tabularnewline
177 & 187.9 & 149.183382018683 & 38.7166179813169 \tabularnewline
178 & 170 & 153.44389958166 & 16.5561004183403 \tabularnewline
179 & 168.4 & 154.722184652377 & 13.6778153476227 \tabularnewline
180 & 157.1 & 160.160584509753 & -3.06058450975272 \tabularnewline
181 & 133.9 & 147.850951343071 & -13.9509513430712 \tabularnewline
182 & 103.1 & 155.560059524285 & -52.4600595242853 \tabularnewline
183 & 166.3 & 170.581822535745 & -4.28182253574494 \tabularnewline
184 & 148 & 149.965152780327 & -1.96515278032672 \tabularnewline
185 & 131.4 & 144.754404701443 & -13.3544047014429 \tabularnewline
186 & 136.3 & 159.807168879777 & -23.5071688797768 \tabularnewline
187 & 135.8 & 144.51936927157 & -8.71936927157049 \tabularnewline
188 & 151.8 & 138.117256666522 & 13.682743333478 \tabularnewline
189 & 172.2 & 158.959685940294 & 13.2403140597058 \tabularnewline
190 & 154.4 & 155.178613850163 & -0.778613850162515 \tabularnewline
191 & 158 & 153.152568601795 & 4.84743139820526 \tabularnewline
192 & 146.2 & 154.194638432615 & -7.99463843261543 \tabularnewline
193 & 128 & 139.155357357412 & -11.1553573574117 \tabularnewline
194 & 124.7 & 140.473793312275 & -15.7737933122751 \tabularnewline
195 & 160.3 & 169.965340473141 & -9.66534047314124 \tabularnewline
196 & 148.1 & 148.892820952222 & -0.792820952221746 \tabularnewline
197 & 139.7 & 141.8476723373 & -2.14767233729987 \tabularnewline
198 & 194 & 156.902460647794 & 37.0975393522058 \tabularnewline
199 & 188.7 & 154.006457683901 & 34.6935423160993 \tabularnewline
200 & 172.2 & 158.578838064316 & 13.621161935684 \tabularnewline
201 & 184.8 & 179.33274809834 & 5.46725190166009 \tabularnewline
202 & 160.5 & 171.80881535826 & -11.3088153582599 \tabularnewline
203 & 139.7 & 169.085583007267 & -29.3855830072667 \tabularnewline
204 & 219.8 & 162.330576291631 & 57.4694237083687 \tabularnewline
205 & 143.9 & 157.277505029728 & -13.377505029728 \tabularnewline
206 & 166.2 & 157.417443353252 & 8.78255664674808 \tabularnewline
207 & 182.7 & 191.950722118972 & -9.25072211897168 \tabularnewline
208 & 152.7 & 172.521200934626 & -19.8212009346263 \tabularnewline
209 & 146.8 & 162.169471452231 & -15.3694714522312 \tabularnewline
210 & 177.1 & 182.065807782316 & -4.96580778231603 \tabularnewline
211 & 186 & 171.965401588287 & 14.0345984117134 \tabularnewline
212 & 189.2 & 169.465682038292 & 19.7343179617075 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308500&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]42.6[/C][C]36.8981303418803[/C][C]5.70186965811966[/C][/ROW]
[ROW][C]14[/C][C]48.6[/C][C]43.9816877975449[/C][C]4.61831220245507[/C][/ROW]
[ROW][C]15[/C][C]49.1[/C][C]45.5864935143251[/C][C]3.5135064856749[/C][/ROW]
[ROW][C]16[/C][C]46.9[/C][C]44.0174572607197[/C][C]2.88254273928028[/C][/ROW]
[ROW][C]17[/C][C]45.7[/C][C]43.2759254585886[/C][C]2.42407454141139[/C][/ROW]
[ROW][C]18[/C][C]56.1[/C][C]54.4896909560537[/C][C]1.61030904394632[/C][/ROW]
[ROW][C]19[/C][C]38.3[/C][C]39.5765074996887[/C][C]-1.27650749968874[/C][/ROW]
[ROW][C]20[/C][C]40.6[/C][C]39.8940273809055[/C][C]0.705972619094474[/C][/ROW]
[ROW][C]21[/C][C]46.5[/C][C]52.1726353243953[/C][C]-5.6726353243953[/C][/ROW]
[ROW][C]22[/C][C]51.4[/C][C]42.5651751128853[/C][C]8.83482488711471[/C][/ROW]
[ROW][C]23[/C][C]47[/C][C]51.3243542839387[/C][C]-4.32435428393865[/C][/ROW]
[ROW][C]24[/C][C]44.6[/C][C]46.4674653026426[/C][C]-1.86746530264262[/C][/ROW]
[ROW][C]25[/C][C]51[/C][C]49.8027002081595[/C][C]1.19729979184049[/C][/ROW]
[ROW][C]26[/C][C]51.1[/C][C]55.9679789365982[/C][C]-4.86797893659816[/C][/ROW]
[ROW][C]27[/C][C]54.9[/C][C]55.8480657112916[/C][C]-0.948065711291584[/C][/ROW]
[ROW][C]28[/C][C]52.1[/C][C]53.4480814222357[/C][C]-1.34808142223569[/C][/ROW]
[ROW][C]29[/C][C]48.7[/C][C]51.9434560815872[/C][C]-3.24345608158715[/C][/ROW]
[ROW][C]30[/C][C]50.5[/C][C]62.0994924209852[/C][C]-11.5994924209852[/C][/ROW]
[ROW][C]31[/C][C]47.5[/C][C]44.5450777253959[/C][C]2.95492227460413[/C][/ROW]
[ROW][C]32[/C][C]44.6[/C][C]45.8965601286794[/C][C]-1.29656012867944[/C][/ROW]
[ROW][C]33[/C][C]50.3[/C][C]56.7193624831268[/C][C]-6.41936248312677[/C][/ROW]
[ROW][C]34[/C][C]54.3[/C][C]49.5688236929746[/C][C]4.73117630702537[/C][/ROW]
[ROW][C]35[/C][C]50[/C][C]55.3290993983363[/C][C]-5.3290993983363[/C][/ROW]
[ROW][C]36[/C][C]44.8[/C][C]50.7467876070994[/C][C]-5.94678760709938[/C][/ROW]
[ROW][C]37[/C][C]57.6[/C][C]53.9692058926523[/C][C]3.63079410734775[/C][/ROW]
[ROW][C]38[/C][C]47.2[/C][C]59.4490837271448[/C][C]-12.2490837271448[/C][/ROW]
[ROW][C]39[/C][C]59.1[/C][C]58.8362798980141[/C][C]0.263720101985918[/C][/ROW]
[ROW][C]40[/C][C]53.9[/C][C]56.5604787179161[/C][C]-2.66047871791611[/C][/ROW]
[ROW][C]41[/C][C]45.7[/C][C]54.5076857476927[/C][C]-8.8076857476927[/C][/ROW]
[ROW][C]42[/C][C]54.5[/C][C]62.2827601856963[/C][C]-7.78276018569628[/C][/ROW]
[ROW][C]43[/C][C]52.8[/C][C]47.9288825711445[/C][C]4.87111742885552[/C][/ROW]
[ROW][C]44[/C][C]52.9[/C][C]48.833834832804[/C][C]4.06616516719602[/C][/ROW]
[ROW][C]45[/C][C]66[/C][C]59.6106301707389[/C][C]6.38936982926111[/C][/ROW]
[ROW][C]46[/C][C]63.7[/C][C]56.5047434355714[/C][C]7.1952565644286[/C][/ROW]
[ROW][C]47[/C][C]54.4[/C][C]60.8748391328216[/C][C]-6.47483913282156[/C][/ROW]
[ROW][C]48[/C][C]74.4[/C][C]55.9981916412588[/C][C]18.4018083587412[/C][/ROW]
[ROW][C]49[/C][C]50.1[/C][C]64.8451550160034[/C][C]-14.7451550160034[/C][/ROW]
[ROW][C]50[/C][C]62.5[/C][C]64.5432167176859[/C][C]-2.04321671768591[/C][/ROW]
[ROW][C]51[/C][C]77.2[/C][C]67.7976907840769[/C][C]9.40230921592305[/C][/ROW]
[ROW][C]52[/C][C]65.6[/C][C]66.4748374647353[/C][C]-0.874837464735322[/C][/ROW]
[ROW][C]53[/C][C]58.2[/C][C]63.617705662872[/C][C]-5.41770566287202[/C][/ROW]
[ROW][C]54[/C][C]72.6[/C][C]72.1210578650179[/C][C]0.478942134982063[/C][/ROW]
[ROW][C]55[/C][C]68.6[/C][C]61.3462718293898[/C][C]7.25372817061022[/C][/ROW]
[ROW][C]56[/C][C]63.1[/C][C]62.4921164222264[/C][C]0.607883577773613[/C][/ROW]
[ROW][C]57[/C][C]76.9[/C][C]73.1244210722504[/C][C]3.77557892774958[/C][/ROW]
[ROW][C]58[/C][C]70.6[/C][C]69.7405597772059[/C][C]0.85944022279412[/C][/ROW]
[ROW][C]59[/C][C]71.4[/C][C]70.6613366054573[/C][C]0.738663394542684[/C][/ROW]
[ROW][C]60[/C][C]90.6[/C][C]71.3662552698719[/C][C]19.2337447301281[/C][/ROW]
[ROW][C]61[/C][C]71.9[/C][C]74.4587373641599[/C][C]-2.55873736415988[/C][/ROW]
[ROW][C]62[/C][C]60.9[/C][C]78.3767870234458[/C][C]-17.4767870234458[/C][/ROW]
[ROW][C]63[/C][C]72.9[/C][C]81.1778576988254[/C][C]-8.27785769882536[/C][/ROW]
[ROW][C]64[/C][C]69.2[/C][C]75.1806136915824[/C][C]-5.98061369158239[/C][/ROW]
[ROW][C]65[/C][C]64.8[/C][C]70.6937924539931[/C][C]-5.89379245399314[/C][/ROW]
[ROW][C]66[/C][C]70.2[/C][C]80.1679700813441[/C][C]-9.96797008134411[/C][/ROW]
[ROW][C]67[/C][C]63[/C][C]68.9134893330868[/C][C]-5.91348933308682[/C][/ROW]
[ROW][C]68[/C][C]62.2[/C][C]66.7571763609688[/C][C]-4.55717636096884[/C][/ROW]
[ROW][C]69[/C][C]82.8[/C][C]77.1200134999464[/C][C]5.67998650005357[/C][/ROW]
[ROW][C]70[/C][C]77.6[/C][C]73.5249452850603[/C][C]4.07505471493974[/C][/ROW]
[ROW][C]71[/C][C]71.2[/C][C]74.9423728491241[/C][C]-3.74237284912412[/C][/ROW]
[ROW][C]72[/C][C]70.6[/C][C]78.2109300189931[/C][C]-7.61093001899313[/C][/ROW]
[ROW][C]73[/C][C]71.1[/C][C]73.1067287842769[/C][C]-2.00672878427687[/C][/ROW]
[ROW][C]74[/C][C]74[/C][C]74.4635427508553[/C][C]-0.463542750855254[/C][/ROW]
[ROW][C]75[/C][C]87.9[/C][C]81.6400038990649[/C][C]6.25999610093508[/C][/ROW]
[ROW][C]76[/C][C]68.3[/C][C]78.3932327692443[/C][C]-10.0932327692443[/C][/ROW]
[ROW][C]77[/C][C]68.1[/C][C]73.2592013407267[/C][C]-5.15920134072672[/C][/ROW]
[ROW][C]78[/C][C]75.7[/C][C]82.1279642954649[/C][C]-6.42796429546489[/C][/ROW]
[ROW][C]79[/C][C]62.7[/C][C]72.1641311950371[/C][C]-9.4641311950371[/C][/ROW]
[ROW][C]80[/C][C]66.2[/C][C]69.67667891821[/C][C]-3.47667891820996[/C][/ROW]
[ROW][C]81[/C][C]81.3[/C][C]82.0322297566171[/C][C]-0.732229756617073[/C][/ROW]
[ROW][C]82[/C][C]84[/C][C]77.1188971636443[/C][C]6.88110283635568[/C][/ROW]
[ROW][C]83[/C][C]80[/C][C]77.5996830175907[/C][C]2.40031698240932[/C][/ROW]
[ROW][C]84[/C][C]80.8[/C][C]81.1707181016207[/C][C]-0.370718101620753[/C][/ROW]
[ROW][C]85[/C][C]67.3[/C][C]78.2286558458968[/C][C]-10.9286558458968[/C][/ROW]
[ROW][C]86[/C][C]61.9[/C][C]78.4220954710492[/C][C]-16.5220954710492[/C][/ROW]
[ROW][C]87[/C][C]77.2[/C][C]84.2055984927121[/C][C]-7.00559849271205[/C][/ROW]
[ROW][C]88[/C][C]65.6[/C][C]75.9163120412325[/C][C]-10.3163120412325[/C][/ROW]
[ROW][C]89[/C][C]68.7[/C][C]71.6228633175955[/C][C]-2.92286331759553[/C][/ROW]
[ROW][C]90[/C][C]82[/C][C]80.6265553311885[/C][C]1.3734446688115[/C][/ROW]
[ROW][C]91[/C][C]81.4[/C][C]71.3803297771859[/C][C]10.0196702228141[/C][/ROW]
[ROW][C]92[/C][C]70.9[/C][C]73.0958137127421[/C][C]-2.19581371274214[/C][/ROW]
[ROW][C]93[/C][C]71.2[/C][C]86.1452888930017[/C][C]-14.9452888930017[/C][/ROW]
[ROW][C]94[/C][C]71.9[/C][C]80.2944189696268[/C][C]-8.39441896962678[/C][/ROW]
[ROW][C]95[/C][C]71.6[/C][C]77.5179733066087[/C][C]-5.91797330660872[/C][/ROW]
[ROW][C]96[/C][C]76.4[/C][C]79.2564762518252[/C][C]-2.85647625182524[/C][/ROW]
[ROW][C]97[/C][C]75.6[/C][C]74.0382963805019[/C][C]1.56170361949812[/C][/ROW]
[ROW][C]98[/C][C]73.2[/C][C]75.2505402660464[/C][C]-2.0505402660464[/C][/ROW]
[ROW][C]99[/C][C]80.2[/C][C]85.0563270082716[/C][C]-4.85632700827163[/C][/ROW]
[ROW][C]100[/C][C]74[/C][C]76.5251908058735[/C][C]-2.52519080587351[/C][/ROW]
[ROW][C]101[/C][C]69.5[/C][C]74.8005027501673[/C][C]-5.3005027501673[/C][/ROW]
[ROW][C]102[/C][C]82[/C][C]84.1843392455849[/C][C]-2.18433924558488[/C][/ROW]
[ROW][C]103[/C][C]82.8[/C][C]75.9008692660336[/C][C]6.89913073396643[/C][/ROW]
[ROW][C]104[/C][C]64.5[/C][C]74.9434968622119[/C][C]-10.4434968622119[/C][/ROW]
[ROW][C]105[/C][C]92.6[/C][C]84.3991564509218[/C][C]8.20084354907816[/C][/ROW]
[ROW][C]106[/C][C]82[/C][C]83.4413958482968[/C][C]-1.44139584829681[/C][/ROW]
[ROW][C]107[/C][C]78.4[/C][C]82.2251740727256[/C][C]-3.8251740727256[/C][/ROW]
[ROW][C]108[/C][C]103.8[/C][C]84.8447451287528[/C][C]18.9552548712472[/C][/ROW]
[ROW][C]109[/C][C]66.6[/C][C]83.9258027734678[/C][C]-17.3258027734678[/C][/ROW]
[ROW][C]110[/C][C]73.3[/C][C]81.4531401404321[/C][C]-8.15314014043213[/C][/ROW]
[ROW][C]111[/C][C]92.3[/C][C]89.7772178792059[/C][C]2.52278212079412[/C][/ROW]
[ROW][C]112[/C][C]73.6[/C][C]82.8491433650619[/C][C]-9.24914336506188[/C][/ROW]
[ROW][C]113[/C][C]74.9[/C][C]79.5480464624448[/C][C]-4.64804646244482[/C][/ROW]
[ROW][C]114[/C][C]83.6[/C][C]89.5905914022613[/C][C]-5.99059140226126[/C][/ROW]
[ROW][C]115[/C][C]83.3[/C][C]82.3075192991591[/C][C]0.9924807008409[/C][/ROW]
[ROW][C]116[/C][C]70.9[/C][C]77.317554621084[/C][C]-6.41755462108398[/C][/ROW]
[ROW][C]117[/C][C]82.5[/C][C]90.7340308307343[/C][C]-8.23403083073433[/C][/ROW]
[ROW][C]118[/C][C]81.7[/C][C]85.4153143498254[/C][C]-3.71531434982536[/C][/ROW]
[ROW][C]119[/C][C]83.1[/C][C]83.409238210489[/C][C]-0.309238210488957[/C][/ROW]
[ROW][C]120[/C][C]92.4[/C][C]90.6422245380641[/C][C]1.75777546193586[/C][/ROW]
[ROW][C]121[/C][C]86.9[/C][C]80.5070945578372[/C][C]6.39290544216279[/C][/ROW]
[ROW][C]122[/C][C]110.1[/C][C]83.4855546989399[/C][C]26.6144453010601[/C][/ROW]
[ROW][C]123[/C][C]112.1[/C][C]99.3080262694946[/C][C]12.7919737305054[/C][/ROW]
[ROW][C]124[/C][C]81.5[/C][C]91.9432749613269[/C][C]-10.4432749613269[/C][/ROW]
[ROW][C]125[/C][C]84.3[/C][C]89.2671572735056[/C][C]-4.96715727350563[/C][/ROW]
[ROW][C]126[/C][C]113.5[/C][C]99.0197846483281[/C][C]14.4802153516719[/C][/ROW]
[ROW][C]127[/C][C]100.3[/C][C]96.2755480063545[/C][C]4.02445199364546[/C][/ROW]
[ROW][C]128[/C][C]93.2[/C][C]90.457715659194[/C][C]2.74228434080599[/C][/ROW]
[ROW][C]129[/C][C]100.4[/C][C]105.027349355212[/C][C]-4.62734935521188[/C][/ROW]
[ROW][C]130[/C][C]94.4[/C][C]101.092494460412[/C][C]-6.6924944604116[/C][/ROW]
[ROW][C]131[/C][C]110.2[/C][C]99.2118147487799[/C][C]10.9881852512201[/C][/ROW]
[ROW][C]132[/C][C]113[/C][C]108.632268767617[/C][C]4.36773123238314[/C][/ROW]
[ROW][C]133[/C][C]94.6[/C][C]99.7410865576508[/C][C]-5.14108655765084[/C][/ROW]
[ROW][C]134[/C][C]111[/C][C]104.453501651064[/C][C]6.54649834893634[/C][/ROW]
[ROW][C]135[/C][C]160.1[/C][C]114.587034963884[/C][C]45.5129650361165[/C][/ROW]
[ROW][C]136[/C][C]110.1[/C][C]108.366640569069[/C][C]1.73335943093147[/C][/ROW]
[ROW][C]137[/C][C]102.8[/C][C]108.625274791679[/C][C]-5.82527479167908[/C][/ROW]
[ROW][C]138[/C][C]112.4[/C][C]121.694446597969[/C][C]-9.29444659796891[/C][/ROW]
[ROW][C]139[/C][C]105.4[/C][C]113.262130247324[/C][C]-7.86213024732352[/C][/ROW]
[ROW][C]140[/C][C]130.4[/C][C]105.301330802793[/C][C]25.0986691972069[/C][/ROW]
[ROW][C]141[/C][C]117.2[/C][C]122.163864580074[/C][C]-4.96386458007362[/C][/ROW]
[ROW][C]142[/C][C]103.9[/C][C]117.807918693282[/C][C]-13.9079186932822[/C][/ROW]
[ROW][C]143[/C][C]92.2[/C][C]117.905629475325[/C][C]-25.7056294753247[/C][/ROW]
[ROW][C]144[/C][C]95.8[/C][C]120.237781365502[/C][C]-24.4377813655016[/C][/ROW]
[ROW][C]145[/C][C]93.1[/C][C]105.016162060752[/C][C]-11.916162060752[/C][/ROW]
[ROW][C]146[/C][C]93.9[/C][C]110.71325031689[/C][C]-16.8132503168895[/C][/ROW]
[ROW][C]147[/C][C]147.6[/C][C]124.005364976928[/C][C]23.5946350230719[/C][/ROW]
[ROW][C]148[/C][C]89.6[/C][C]106.476040022722[/C][C]-16.8760400227216[/C][/ROW]
[ROW][C]149[/C][C]83[/C][C]102.393504640511[/C][C]-19.3935046405107[/C][/ROW]
[ROW][C]150[/C][C]99.2[/C][C]112.660239641832[/C][C]-13.4602396418318[/C][/ROW]
[ROW][C]151[/C][C]118.3[/C][C]103.811171448747[/C][C]14.4888285512527[/C][/ROW]
[ROW][C]152[/C][C]110.9[/C][C]105.307058620993[/C][C]5.5929413790069[/C][/ROW]
[ROW][C]153[/C][C]124.4[/C][C]113.68620939749[/C][C]10.7137906025105[/C][/ROW]
[ROW][C]154[/C][C]115.8[/C][C]110.267378321387[/C][C]5.53262167861304[/C][/ROW]
[ROW][C]155[/C][C]112.7[/C][C]111.401538714895[/C][C]1.2984612851052[/C][/ROW]
[ROW][C]156[/C][C]111.9[/C][C]118.309878841408[/C][C]-6.4098788414076[/C][/ROW]
[ROW][C]157[/C][C]108.6[/C][C]108.217406421628[/C][C]0.382593578371953[/C][/ROW]
[ROW][C]158[/C][C]102.5[/C][C]115.026133442622[/C][C]-12.5261334426223[/C][/ROW]
[ROW][C]159[/C][C]141.9[/C][C]136.187417552097[/C][C]5.71258244790283[/C][/ROW]
[ROW][C]160[/C][C]137.7[/C][C]108.587323786475[/C][C]29.1126762135254[/C][/ROW]
[ROW][C]161[/C][C]121.3[/C][C]111.46736271608[/C][C]9.8326372839196[/C][/ROW]
[ROW][C]162[/C][C]142.8[/C][C]127.497114151019[/C][C]15.3028858489815[/C][/ROW]
[ROW][C]163[/C][C]143[/C][C]128.247545448169[/C][C]14.7524545518306[/C][/ROW]
[ROW][C]164[/C][C]121.1[/C][C]128.205563211088[/C][C]-7.105563211088[/C][/ROW]
[ROW][C]165[/C][C]130.2[/C][C]135.448417735381[/C][C]-5.24841773538063[/C][/ROW]
[ROW][C]166[/C][C]146.3[/C][C]128.537292407524[/C][C]17.762707592476[/C][/ROW]
[ROW][C]167[/C][C]143.7[/C][C]130.889795820863[/C][C]12.8102041791371[/C][/ROW]
[ROW][C]168[/C][C]139.3[/C][C]138.283553490892[/C][C]1.01644650910754[/C][/ROW]
[ROW][C]169[/C][C]109.3[/C][C]130.594302218862[/C][C]-21.2943022188618[/C][/ROW]
[ROW][C]170[/C][C]141.3[/C][C]131.617179534618[/C][C]9.68282046538189[/C][/ROW]
[ROW][C]171[/C][C]152.7[/C][C]159.596906828955[/C][C]-6.8969068289552[/C][/ROW]
[ROW][C]172[/C][C]152.2[/C][C]134.122148513952[/C][C]18.0778514860478[/C][/ROW]
[ROW][C]173[/C][C]151.8[/C][C]131.799153630712[/C][C]20.0008463692885[/C][/ROW]
[ROW][C]174[/C][C]180.5[/C][C]150.439012593074[/C][C]30.0609874069261[/C][/ROW]
[ROW][C]175[/C][C]129[/C][C]153.469516905622[/C][C]-24.4695169056224[/C][/ROW]
[ROW][C]176[/C][C]126.1[/C][C]143.224952733461[/C][C]-17.1249527334608[/C][/ROW]
[ROW][C]177[/C][C]187.9[/C][C]149.183382018683[/C][C]38.7166179813169[/C][/ROW]
[ROW][C]178[/C][C]170[/C][C]153.44389958166[/C][C]16.5561004183403[/C][/ROW]
[ROW][C]179[/C][C]168.4[/C][C]154.722184652377[/C][C]13.6778153476227[/C][/ROW]
[ROW][C]180[/C][C]157.1[/C][C]160.160584509753[/C][C]-3.06058450975272[/C][/ROW]
[ROW][C]181[/C][C]133.9[/C][C]147.850951343071[/C][C]-13.9509513430712[/C][/ROW]
[ROW][C]182[/C][C]103.1[/C][C]155.560059524285[/C][C]-52.4600595242853[/C][/ROW]
[ROW][C]183[/C][C]166.3[/C][C]170.581822535745[/C][C]-4.28182253574494[/C][/ROW]
[ROW][C]184[/C][C]148[/C][C]149.965152780327[/C][C]-1.96515278032672[/C][/ROW]
[ROW][C]185[/C][C]131.4[/C][C]144.754404701443[/C][C]-13.3544047014429[/C][/ROW]
[ROW][C]186[/C][C]136.3[/C][C]159.807168879777[/C][C]-23.5071688797768[/C][/ROW]
[ROW][C]187[/C][C]135.8[/C][C]144.51936927157[/C][C]-8.71936927157049[/C][/ROW]
[ROW][C]188[/C][C]151.8[/C][C]138.117256666522[/C][C]13.682743333478[/C][/ROW]
[ROW][C]189[/C][C]172.2[/C][C]158.959685940294[/C][C]13.2403140597058[/C][/ROW]
[ROW][C]190[/C][C]154.4[/C][C]155.178613850163[/C][C]-0.778613850162515[/C][/ROW]
[ROW][C]191[/C][C]158[/C][C]153.152568601795[/C][C]4.84743139820526[/C][/ROW]
[ROW][C]192[/C][C]146.2[/C][C]154.194638432615[/C][C]-7.99463843261543[/C][/ROW]
[ROW][C]193[/C][C]128[/C][C]139.155357357412[/C][C]-11.1553573574117[/C][/ROW]
[ROW][C]194[/C][C]124.7[/C][C]140.473793312275[/C][C]-15.7737933122751[/C][/ROW]
[ROW][C]195[/C][C]160.3[/C][C]169.965340473141[/C][C]-9.66534047314124[/C][/ROW]
[ROW][C]196[/C][C]148.1[/C][C]148.892820952222[/C][C]-0.792820952221746[/C][/ROW]
[ROW][C]197[/C][C]139.7[/C][C]141.8476723373[/C][C]-2.14767233729987[/C][/ROW]
[ROW][C]198[/C][C]194[/C][C]156.902460647794[/C][C]37.0975393522058[/C][/ROW]
[ROW][C]199[/C][C]188.7[/C][C]154.006457683901[/C][C]34.6935423160993[/C][/ROW]
[ROW][C]200[/C][C]172.2[/C][C]158.578838064316[/C][C]13.621161935684[/C][/ROW]
[ROW][C]201[/C][C]184.8[/C][C]179.33274809834[/C][C]5.46725190166009[/C][/ROW]
[ROW][C]202[/C][C]160.5[/C][C]171.80881535826[/C][C]-11.3088153582599[/C][/ROW]
[ROW][C]203[/C][C]139.7[/C][C]169.085583007267[/C][C]-29.3855830072667[/C][/ROW]
[ROW][C]204[/C][C]219.8[/C][C]162.330576291631[/C][C]57.4694237083687[/C][/ROW]
[ROW][C]205[/C][C]143.9[/C][C]157.277505029728[/C][C]-13.377505029728[/C][/ROW]
[ROW][C]206[/C][C]166.2[/C][C]157.417443353252[/C][C]8.78255664674808[/C][/ROW]
[ROW][C]207[/C][C]182.7[/C][C]191.950722118972[/C][C]-9.25072211897168[/C][/ROW]
[ROW][C]208[/C][C]152.7[/C][C]172.521200934626[/C][C]-19.8212009346263[/C][/ROW]
[ROW][C]209[/C][C]146.8[/C][C]162.169471452231[/C][C]-15.3694714522312[/C][/ROW]
[ROW][C]210[/C][C]177.1[/C][C]182.065807782316[/C][C]-4.96580778231603[/C][/ROW]
[ROW][C]211[/C][C]186[/C][C]171.965401588287[/C][C]14.0345984117134[/C][/ROW]
[ROW][C]212[/C][C]189.2[/C][C]169.465682038292[/C][C]19.7343179617075[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308500&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308500&T=2

As an alternative you can also use a QR Code:  

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

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1342.636.89813034188035.70186965811966
1448.643.98168779754494.61831220245507
1549.145.58649351432513.5135064856749
1646.944.01745726071972.88254273928028
1745.743.27592545858862.42407454141139
1856.154.48969095605371.61030904394632
1938.339.5765074996887-1.27650749968874
2040.639.89402738090550.705972619094474
2146.552.1726353243953-5.6726353243953
2251.442.56517511288538.83482488711471
234751.3243542839387-4.32435428393865
2444.646.4674653026426-1.86746530264262
255149.80270020815951.19729979184049
2651.155.9679789365982-4.86797893659816
2754.955.8480657112916-0.948065711291584
2852.153.4480814222357-1.34808142223569
2948.751.9434560815872-3.24345608158715
3050.562.0994924209852-11.5994924209852
3147.544.54507772539592.95492227460413
3244.645.8965601286794-1.29656012867944
3350.356.7193624831268-6.41936248312677
3454.349.56882369297464.73117630702537
355055.3290993983363-5.3290993983363
3644.850.7467876070994-5.94678760709938
3757.653.96920589265233.63079410734775
3847.259.4490837271448-12.2490837271448
3959.158.83627989801410.263720101985918
4053.956.5604787179161-2.66047871791611
4145.754.5076857476927-8.8076857476927
4254.562.2827601856963-7.78276018569628
4352.847.92888257114454.87111742885552
4452.948.8338348328044.06616516719602
456659.61063017073896.38936982926111
4663.756.50474343557147.1952565644286
4754.460.8748391328216-6.47483913282156
4874.455.998191641258818.4018083587412
4950.164.8451550160034-14.7451550160034
5062.564.5432167176859-2.04321671768591
5177.267.79769078407699.40230921592305
5265.666.4748374647353-0.874837464735322
5358.263.617705662872-5.41770566287202
5472.672.12105786501790.478942134982063
5568.661.34627182938987.25372817061022
5663.162.49211642222640.607883577773613
5776.973.12442107225043.77557892774958
5870.669.74055977720590.85944022279412
5971.470.66133660545730.738663394542684
6090.671.366255269871919.2337447301281
6171.974.4587373641599-2.55873736415988
6260.978.3767870234458-17.4767870234458
6372.981.1778576988254-8.27785769882536
6469.275.1806136915824-5.98061369158239
6564.870.6937924539931-5.89379245399314
6670.280.1679700813441-9.96797008134411
676368.9134893330868-5.91348933308682
6862.266.7571763609688-4.55717636096884
6982.877.12001349994645.67998650005357
7077.673.52494528506034.07505471493974
7171.274.9423728491241-3.74237284912412
7270.678.2109300189931-7.61093001899313
7371.173.1067287842769-2.00672878427687
747474.4635427508553-0.463542750855254
7587.981.64000389906496.25999610093508
7668.378.3932327692443-10.0932327692443
7768.173.2592013407267-5.15920134072672
7875.782.1279642954649-6.42796429546489
7962.772.1641311950371-9.4641311950371
8066.269.67667891821-3.47667891820996
8181.382.0322297566171-0.732229756617073
828477.11889716364436.88110283635568
838077.59968301759072.40031698240932
8480.881.1707181016207-0.370718101620753
8567.378.2286558458968-10.9286558458968
8661.978.4220954710492-16.5220954710492
8777.284.2055984927121-7.00559849271205
8865.675.9163120412325-10.3163120412325
8968.771.6228633175955-2.92286331759553
908280.62655533118851.3734446688115
9181.471.380329777185910.0196702228141
9270.973.0958137127421-2.19581371274214
9371.286.1452888930017-14.9452888930017
9471.980.2944189696268-8.39441896962678
9571.677.5179733066087-5.91797330660872
9676.479.2564762518252-2.85647625182524
9775.674.03829638050191.56170361949812
9873.275.2505402660464-2.0505402660464
9980.285.0563270082716-4.85632700827163
1007476.5251908058735-2.52519080587351
10169.574.8005027501673-5.3005027501673
1028284.1843392455849-2.18433924558488
10382.875.90086926603366.89913073396643
10464.574.9434968622119-10.4434968622119
10592.684.39915645092188.20084354907816
1068283.4413958482968-1.44139584829681
10778.482.2251740727256-3.8251740727256
108103.884.844745128752818.9552548712472
10966.683.9258027734678-17.3258027734678
11073.381.4531401404321-8.15314014043213
11192.389.77721787920592.52278212079412
11273.682.8491433650619-9.24914336506188
11374.979.5480464624448-4.64804646244482
11483.689.5905914022613-5.99059140226126
11583.382.30751929915910.9924807008409
11670.977.317554621084-6.41755462108398
11782.590.7340308307343-8.23403083073433
11881.785.4153143498254-3.71531434982536
11983.183.409238210489-0.309238210488957
12092.490.64222453806411.75777546193586
12186.980.50709455783726.39290544216279
122110.183.485554698939926.6144453010601
123112.199.308026269494612.7919737305054
12481.591.9432749613269-10.4432749613269
12584.389.2671572735056-4.96715727350563
126113.599.019784648328114.4802153516719
127100.396.27554800635454.02445199364546
12893.290.4577156591942.74228434080599
129100.4105.027349355212-4.62734935521188
13094.4101.092494460412-6.6924944604116
131110.299.211814748779910.9881852512201
132113108.6322687676174.36773123238314
13394.699.7410865576508-5.14108655765084
134111104.4535016510646.54649834893634
135160.1114.58703496388445.5129650361165
136110.1108.3666405690691.73335943093147
137102.8108.625274791679-5.82527479167908
138112.4121.694446597969-9.29444659796891
139105.4113.262130247324-7.86213024732352
140130.4105.30133080279325.0986691972069
141117.2122.163864580074-4.96386458007362
142103.9117.807918693282-13.9079186932822
14392.2117.905629475325-25.7056294753247
14495.8120.237781365502-24.4377813655016
14593.1105.016162060752-11.916162060752
14693.9110.71325031689-16.8132503168895
147147.6124.00536497692823.5946350230719
14889.6106.476040022722-16.8760400227216
14983102.393504640511-19.3935046405107
15099.2112.660239641832-13.4602396418318
151118.3103.81117144874714.4888285512527
152110.9105.3070586209935.5929413790069
153124.4113.6862093974910.7137906025105
154115.8110.2673783213875.53262167861304
155112.7111.4015387148951.2984612851052
156111.9118.309878841408-6.4098788414076
157108.6108.2174064216280.382593578371953
158102.5115.026133442622-12.5261334426223
159141.9136.1874175520975.71258244790283
160137.7108.58732378647529.1126762135254
161121.3111.467362716089.8326372839196
162142.8127.49711415101915.3028858489815
163143128.24754544816914.7524545518306
164121.1128.205563211088-7.105563211088
165130.2135.448417735381-5.24841773538063
166146.3128.53729240752417.762707592476
167143.7130.88979582086312.8102041791371
168139.3138.2835534908921.01644650910754
169109.3130.594302218862-21.2943022188618
170141.3131.6171795346189.68282046538189
171152.7159.596906828955-6.8969068289552
172152.2134.12214851395218.0778514860478
173151.8131.79915363071220.0008463692885
174180.5150.43901259307430.0609874069261
175129153.469516905622-24.4695169056224
176126.1143.224952733461-17.1249527334608
177187.9149.18338201868338.7166179813169
178170153.4438995816616.5561004183403
179168.4154.72218465237713.6778153476227
180157.1160.160584509753-3.06058450975272
181133.9147.850951343071-13.9509513430712
182103.1155.560059524285-52.4600595242853
183166.3170.581822535745-4.28182253574494
184148149.965152780327-1.96515278032672
185131.4144.754404701443-13.3544047014429
186136.3159.807168879777-23.5071688797768
187135.8144.51936927157-8.71936927157049
188151.8138.11725666652213.682743333478
189172.2158.95968594029413.2403140597058
190154.4155.178613850163-0.778613850162515
191158153.1525686017954.84743139820526
192146.2154.194638432615-7.99463843261543
193128139.155357357412-11.1553573574117
194124.7140.473793312275-15.7737933122751
195160.3169.965340473141-9.66534047314124
196148.1148.892820952222-0.792820952221746
197139.7141.8476723373-2.14767233729987
198194156.90246064779437.0975393522058
199188.7154.00645768390134.6935423160993
200172.2158.57883806431613.621161935684
201184.8179.332748098345.46725190166009
202160.5171.80881535826-11.3088153582599
203139.7169.085583007267-29.3855830072667
204219.8162.33057629163157.4694237083687
205143.9157.277505029728-13.377505029728
206166.2157.4174433532528.78255664674808
207182.7191.950722118972-9.25072211897168
208152.7172.521200934626-19.8212009346263
209146.8162.169471452231-15.3694714522312
210177.1182.065807782316-4.96580778231603
211186171.96540158828714.0345984117134
212189.2169.46568203829219.7343179617075







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213189.756022820596164.032343273887215.479702367305
214178.370943436474152.315505540104204.426381332845
215174.258491816871147.875466999359200.641516634384
216187.667856864911160.961263052309214.374450677514
217160.76930486056133.743015666126187.795594054994
218167.001367746851139.659120908468194.343614585234
219196.915988589519169.261393732228224.57058344681
220177.099128439573149.135674231075205.062582648071
221170.731878087924142.46293884676199.000817329088
222194.952776574575166.381618383657223.523934765493
223189.027874855487160.157661227591217.898088483382
224185.279420516906156.113217653486214.445623380327

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 189.756022820596 & 164.032343273887 & 215.479702367305 \tabularnewline
214 & 178.370943436474 & 152.315505540104 & 204.426381332845 \tabularnewline
215 & 174.258491816871 & 147.875466999359 & 200.641516634384 \tabularnewline
216 & 187.667856864911 & 160.961263052309 & 214.374450677514 \tabularnewline
217 & 160.76930486056 & 133.743015666126 & 187.795594054994 \tabularnewline
218 & 167.001367746851 & 139.659120908468 & 194.343614585234 \tabularnewline
219 & 196.915988589519 & 169.261393732228 & 224.57058344681 \tabularnewline
220 & 177.099128439573 & 149.135674231075 & 205.062582648071 \tabularnewline
221 & 170.731878087924 & 142.46293884676 & 199.000817329088 \tabularnewline
222 & 194.952776574575 & 166.381618383657 & 223.523934765493 \tabularnewline
223 & 189.027874855487 & 160.157661227591 & 217.898088483382 \tabularnewline
224 & 185.279420516906 & 156.113217653486 & 214.445623380327 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308500&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]189.756022820596[/C][C]164.032343273887[/C][C]215.479702367305[/C][/ROW]
[ROW][C]214[/C][C]178.370943436474[/C][C]152.315505540104[/C][C]204.426381332845[/C][/ROW]
[ROW][C]215[/C][C]174.258491816871[/C][C]147.875466999359[/C][C]200.641516634384[/C][/ROW]
[ROW][C]216[/C][C]187.667856864911[/C][C]160.961263052309[/C][C]214.374450677514[/C][/ROW]
[ROW][C]217[/C][C]160.76930486056[/C][C]133.743015666126[/C][C]187.795594054994[/C][/ROW]
[ROW][C]218[/C][C]167.001367746851[/C][C]139.659120908468[/C][C]194.343614585234[/C][/ROW]
[ROW][C]219[/C][C]196.915988589519[/C][C]169.261393732228[/C][C]224.57058344681[/C][/ROW]
[ROW][C]220[/C][C]177.099128439573[/C][C]149.135674231075[/C][C]205.062582648071[/C][/ROW]
[ROW][C]221[/C][C]170.731878087924[/C][C]142.46293884676[/C][C]199.000817329088[/C][/ROW]
[ROW][C]222[/C][C]194.952776574575[/C][C]166.381618383657[/C][C]223.523934765493[/C][/ROW]
[ROW][C]223[/C][C]189.027874855487[/C][C]160.157661227591[/C][C]217.898088483382[/C][/ROW]
[ROW][C]224[/C][C]185.279420516906[/C][C]156.113217653486[/C][C]214.445623380327[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308500&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308500&T=3

As an alternative you can also use a QR Code:  

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

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213189.756022820596164.032343273887215.479702367305
214178.370943436474152.315505540104204.426381332845
215174.258491816871147.875466999359200.641516634384
216187.667856864911160.961263052309214.374450677514
217160.76930486056133.743015666126187.795594054994
218167.001367746851139.659120908468194.343614585234
219196.915988589519169.261393732228224.57058344681
220177.099128439573149.135674231075205.062582648071
221170.731878087924142.46293884676199.000817329088
222194.952776574575166.381618383657223.523934765493
223189.027874855487160.157661227591217.898088483382
224185.279420516906156.113217653486214.445623380327



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; 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')