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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 computationThu, 01 Feb 2018 10:40:17 +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/2018/Feb/01/t1517478045txl249uvirpksrt.htm/, Retrieved Sun, 28 Apr 2024 20:48:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=314274, Retrieved Sun, 28 Apr 2024 20:48:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact41
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-02-01 09:40:17] [68d36a64693fa7613b5ba1ed5cbe1737] [Current]
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Dataseries X:
62.4
67.4
76.1
67.4
74.5
72.6
60.5
66.1
76.5
76.8
77
71
74.8
73.7
80.5
71.8
76.9
79.9
65.9
69.5
75.1
79.6
75.2
68
72.8
71.5
78.5
76.8
75.3
76.7
69.7
67.8
77.5
82.5
75.3
70.9
76
73.7
79.7
77.8
73.3
78.3
71.9
67
82
83.7
74.8
80
74.3
76.8
89
81.9
76.8
88.9
75.8
75.5
89.1
88
85.9
89.3
82.9
81.2
90.5
86.4
81.8
91.3
73.4
76.6
91
87
89.7
90.7
86.5
86.6
98.8
84.4
91.4
95.7
78.5
81.7
94.3
98.5
95.4
91.7
92.8
90.5
102.2
91.8
95
102
88.9
89.6
97.9
108.6
100.8
95.1
101
100.9
102.5
105.4
98.4
105.3
96.5
88.1
107.9
107
92.5
95.7
85.2
85.5
94.7
86.2
88.8
93.4
83.4
82.9
96.7
96.2
92.8
92.8
90
95.4
108.3
96.3
95
109
92
92.3
107
105.5
105.4
103.9
99.2
102.2
121.5
102.3
110
105.9
91.9
100
111.7
104.9
103.3
101.8
100.8
104.2
116.5
97.9
100.7
107
96.3
96
104.5
107.4
102.4
94.9
98.8
96.8
108.2
103.8
102.3
107.2
102
92.6
105.2
113
105.6
101.6
101.7
102.7
109
105.5
103.3
108.6
98.2
90
112.4
111.9
102.1
102.4
101.7
98.7
114
105.1
98.3
110
96.5
92.2
112
111.4
107.5
103.4
103.5
107.4
117.6
110.2
104.3
115.9
98.9
101.9
113.5
109.5
110
114.2
106.9
109.2
124.2
104.7
111.9
119
102.9
106.3




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314274&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]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=314274&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314274&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 time5 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.321916087149177
beta0
gamma0.240484918263256

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.321916087149177 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.240484918263256 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314274&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]0.321916087149177[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.240484918263256[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314274&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314274&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
alpha0.321916087149177
beta0
gamma0.240484918263256







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1374.872.23766025641032.56233974358973
1473.771.89430768490261.80569231509745
1580.579.49071146719641.00928853280357
1671.871.35574006010350.44425993989654
1776.976.85554352592110.0444564740788707
1879.980.3683104910608-0.468310491060763
1965.964.27434285449661.6256571455034
2069.569.9169570861122-0.416957086112191
2175.180.0353542700642-4.93535427006422
2279.678.67837337903920.921626620960794
2375.279.1901821922938-3.99018219229379
246871.7999673982273-3.7999673982273
2572.874.5638238690806-1.76382386908057
2671.572.7044239300333-1.20442393003331
2778.579.2019541368055-0.701954136805455
2876.870.42396756352186.37603243647824
2975.377.7681084881787-2.4681084881787
3076.780.3884239991258-3.68842399912583
3169.763.59931113482226.10068886517776
3267.870.3494231005984-2.54942310059843
3377.579.0445348650292-1.54453486502925
3482.579.73420503869432.76579496130574
3575.380.0387177809354-4.7387177809354
3670.972.4385554666533-1.53855546665325
377676.2624286141712-0.262428614171156
3873.774.9775727239768-1.27757272397679
3979.781.5334923810009-1.83349238100088
4077.873.54544531314844.25455468685163
4173.378.7644436088968-5.46444360889677
4278.380.2211950676382-1.92119506763824
4371.965.59728202492616.30271797507393
446771.0018656979153-4.00186569791533
458279.39327889842962.60672110157041
4683.782.12218612733371.57781387266633
4774.880.8205156000726-6.02051560007256
488073.32956906970196.67043093029812
4974.380.004143669049-5.70414366904905
5076.876.8019736724994-0.00197367249940328
518983.67787594776865.32212405223144
5281.978.98610839267692.91389160732315
5376.882.1886587861875-5.38865878618749
5488.984.24760043317284.65239956682721
5575.873.08089815429512.71910184570486
5675.575.6515004604289-0.151500460428892
5789.186.36006351146332.7399364885367
588888.9640720905393-0.964072090539318
5985.985.60507593803990.294924061960131
6089.382.21667041281277.08332958718728
6182.987.0062547916396-4.10625479163964
6281.285.2483178291112-4.04831782911121
6390.591.6898318750943-1.18983187509428
6486.484.50905300154891.89094699845114
6581.886.0284128580304-4.22841285803037
6691.390.09824122060811.20175877939188
6773.477.5054613234366-4.10546132343663
6876.677.4110208412203-0.811020841220341
699188.37877727173392.62122272826615
708790.3405611756915-3.34056117569146
7189.786.42183814187543.27816185812462
7290.785.10076304577895.59923695422111
7386.587.5879203068834-1.08792030688345
7486.686.8110814912933-0.211081491293328
7598.894.95399396018073.84600603981931
7684.489.8967117132376-5.49671171323762
7791.488.03998777092473.36001222907532
7895.795.43814465606470.261855343935338
7978.581.6773518899393-3.17735188993929
8081.782.4189057296289-0.718905729628929
8194.393.97600786640990.323992133590124
8298.594.22609441872594.27390558127411
8395.493.83789897334631.56210102665366
8491.792.3428915779786-0.642891577978574
8592.891.73013950432231.0698604956777
8690.591.7909102304167-1.29091023041667
87102.2100.247793478251.95220652175017
8891.893.0573594857562-1.25735948575615
899594.00960793686770.990392063132276
90102100.1397327664621.86026723353791
9188.986.33266657404342.56733342595658
9289.689.32442327723580.275576722764242
9397.9101.371729577886-3.47172957788649
94108.6101.0440205046537.55597949534652
95100.8101.270166318282-0.47016631828248
9695.198.7613735327883-3.66137353278832
9710197.45622024883413.54377975116586
98100.997.92841696779612.97158303220388
99102.5108.286317025867-5.78631702586715
100105.498.08134723982717.3186527601729
10198.4102.160890491224-3.76089049122439
102105.3106.90335066644-1.60335066643977
10396.592.09659069693974.40340930306027
10488.195.3056953929668-7.20569539296677
105107.9104.3335905271193.56640947288146
106107108.069848625452-1.06984862545202
10792.5104.210386396662-11.7103863966624
10895.797.5627991212328-1.86279912123281
10985.298.0115726862936-12.8115726862936
11085.593.1254108239949-7.62541082399491
11194.798.6438264794969-3.94382647949691
11286.291.1689977606507-4.96899776065068
11388.889.4862191033632-0.686219103363214
11493.495.5702932242408-2.17029322424079
11583.481.56054139219831.83945860780167
11682.982.05118454895570.84881545104426
11796.795.4285521746161.27144782538399
11896.297.6699954390027-1.46999543900267
11992.891.94657814555620.853421854443752
12092.890.94931862196441.85068137803562
1219090.8081162423023-0.808116242302262
12295.490.63176210273294.76823789726706
123108.3100.7402447695217.55975523047854
12496.396.8014304540962-0.501430454096223
1259597.2552218205991-2.25522182059908
126109102.5922023109376.40779768906295
1279291.99774197939970.00225802060030844
12892.391.73541756810320.56458243189681
129107105.0902042317621.90979576823786
130105.5107.090097681598-1.59009768159795
131105.4101.7068947727363.69310522726401
132103.9101.7863970772.11360292299977
13399.2101.296266024523-2.09626602452332
134102.2101.6145659860660.585434013933664
135121.5110.83174660601810.6682533939824
136102.3106.579078735832-4.27907873583217
137110105.5307954245564.46920457544415
138105.9114.44514648165-8.54514648165042
13991.997.9925482154849-6.09254821548485
14010095.85990528249524.14009471750475
141111.7110.5850694028361.1149305971641
142104.9111.758359001761-6.85835900176087
143103.3105.54074439664-2.24074439663967
144101.8103.452477259084-1.65247725908351
145100.8101.063485483245-0.263485483245333
146104.2102.4090890064121.79091099358847
147116.5113.6585268720822.84147312791767
14897.9104.448846702825-6.54884670282495
149100.7104.096461980871-3.39646198087129
150107108.356491818814-1.35649181881405
15196.394.61797976829821.68202023170176
1529696.6567218724973-0.656721872497286
153104.5109.344403215548-4.84440321554827
154107.4107.2990913937820.100908606217615
155102.4104.074766571729-1.67476657172891
15694.9102.264624907985-7.36462490798542
15798.898.26330234829160.536697651708437
15896.8100.201505980578-3.40150598057798
159108.2109.950735359811-1.75073535981085
160103.897.73147976692846.06852023307158
161102.3101.9548845194460.345115480554313
162107.2107.752044134783-0.552044134783415
16310294.76798371790747.23201628209259
16492.698.2119826048979-5.61198260489792
165105.2108.621604984377-3.42160498437653
166113107.840741629745.15925837026032
167105.6105.955223476612-0.355223476612395
168101.6103.642024713538-2.04202471353753
169101.7102.642593189751-0.942593189750838
170102.7103.462390554235-0.762390554234983
171109114.330383084064-5.3303830840639
172105.5102.2338591358033.26614086419669
173103.3104.621823258827-1.32182325882673
174108.6109.736069597301-1.13606959730058
17598.297.83334058157160.366659418428398
1769096.9728131818574-6.9728131818574
177112.4107.3015448949555.0984551050451
178111.9110.6626983613061.23730163869375
179102.1106.615398454591-4.51539845459142
180102.4102.687907526835-0.287907526835198
181101.7102.432437693165-0.732437693164499
18298.7103.349272948149-4.64927294814866
183114112.2211177411681.77888225883245
184105.1103.815006845951.28499315405003
18598.3104.817053137887-6.51705313788699
186110108.2891620572061.71083794279356
18796.597.5479468265377-1.04794682653774
18892.295.0351947971227-2.8351947971227
189112108.6643415280653.33565847193478
190111.4110.8283881414740.571611858526026
191107.5105.6287051965281.8712948034723
192103.4104.446566097375-1.04656609737467
193103.5103.87438279579-0.374382795789998
194107.4104.26776745293.13223254709953
195117.6116.692836595130.907163404870033
196110.2107.9255673974652.27443260253484
197104.3107.973858634454-3.67385863445401
198115.9113.7029511984172.19704880158291
19998.9102.668382917307-3.76838291730689
200101.998.98843408847112.91156591152892
201113.5115.473830130605-1.97383013060451
202109.5115.477936757277-5.97793675727657
203110108.3817866881671.61821331183346
204114.2106.6423640594337.55763594056667
205106.9108.94962403907-2.04962403906973
206109.2109.375541687412-0.175541687411837
207124.2120.3729453924983.82705460750206
208104.7112.768595304074-8.06859530407425
209111.9108.5173178358633.38268216413724
210119117.4753871392411.52461286075854
211102.9105.251574198512-2.35157419851181
212106.3103.117011159353.18298884065038

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 74.8 & 72.2376602564103 & 2.56233974358973 \tabularnewline
14 & 73.7 & 71.8943076849026 & 1.80569231509745 \tabularnewline
15 & 80.5 & 79.4907114671964 & 1.00928853280357 \tabularnewline
16 & 71.8 & 71.3557400601035 & 0.44425993989654 \tabularnewline
17 & 76.9 & 76.8555435259211 & 0.0444564740788707 \tabularnewline
18 & 79.9 & 80.3683104910608 & -0.468310491060763 \tabularnewline
19 & 65.9 & 64.2743428544966 & 1.6256571455034 \tabularnewline
20 & 69.5 & 69.9169570861122 & -0.416957086112191 \tabularnewline
21 & 75.1 & 80.0353542700642 & -4.93535427006422 \tabularnewline
22 & 79.6 & 78.6783733790392 & 0.921626620960794 \tabularnewline
23 & 75.2 & 79.1901821922938 & -3.99018219229379 \tabularnewline
24 & 68 & 71.7999673982273 & -3.7999673982273 \tabularnewline
25 & 72.8 & 74.5638238690806 & -1.76382386908057 \tabularnewline
26 & 71.5 & 72.7044239300333 & -1.20442393003331 \tabularnewline
27 & 78.5 & 79.2019541368055 & -0.701954136805455 \tabularnewline
28 & 76.8 & 70.4239675635218 & 6.37603243647824 \tabularnewline
29 & 75.3 & 77.7681084881787 & -2.4681084881787 \tabularnewline
30 & 76.7 & 80.3884239991258 & -3.68842399912583 \tabularnewline
31 & 69.7 & 63.5993111348222 & 6.10068886517776 \tabularnewline
32 & 67.8 & 70.3494231005984 & -2.54942310059843 \tabularnewline
33 & 77.5 & 79.0445348650292 & -1.54453486502925 \tabularnewline
34 & 82.5 & 79.7342050386943 & 2.76579496130574 \tabularnewline
35 & 75.3 & 80.0387177809354 & -4.7387177809354 \tabularnewline
36 & 70.9 & 72.4385554666533 & -1.53855546665325 \tabularnewline
37 & 76 & 76.2624286141712 & -0.262428614171156 \tabularnewline
38 & 73.7 & 74.9775727239768 & -1.27757272397679 \tabularnewline
39 & 79.7 & 81.5334923810009 & -1.83349238100088 \tabularnewline
40 & 77.8 & 73.5454453131484 & 4.25455468685163 \tabularnewline
41 & 73.3 & 78.7644436088968 & -5.46444360889677 \tabularnewline
42 & 78.3 & 80.2211950676382 & -1.92119506763824 \tabularnewline
43 & 71.9 & 65.5972820249261 & 6.30271797507393 \tabularnewline
44 & 67 & 71.0018656979153 & -4.00186569791533 \tabularnewline
45 & 82 & 79.3932788984296 & 2.60672110157041 \tabularnewline
46 & 83.7 & 82.1221861273337 & 1.57781387266633 \tabularnewline
47 & 74.8 & 80.8205156000726 & -6.02051560007256 \tabularnewline
48 & 80 & 73.3295690697019 & 6.67043093029812 \tabularnewline
49 & 74.3 & 80.004143669049 & -5.70414366904905 \tabularnewline
50 & 76.8 & 76.8019736724994 & -0.00197367249940328 \tabularnewline
51 & 89 & 83.6778759477686 & 5.32212405223144 \tabularnewline
52 & 81.9 & 78.9861083926769 & 2.91389160732315 \tabularnewline
53 & 76.8 & 82.1886587861875 & -5.38865878618749 \tabularnewline
54 & 88.9 & 84.2476004331728 & 4.65239956682721 \tabularnewline
55 & 75.8 & 73.0808981542951 & 2.71910184570486 \tabularnewline
56 & 75.5 & 75.6515004604289 & -0.151500460428892 \tabularnewline
57 & 89.1 & 86.3600635114633 & 2.7399364885367 \tabularnewline
58 & 88 & 88.9640720905393 & -0.964072090539318 \tabularnewline
59 & 85.9 & 85.6050759380399 & 0.294924061960131 \tabularnewline
60 & 89.3 & 82.2166704128127 & 7.08332958718728 \tabularnewline
61 & 82.9 & 87.0062547916396 & -4.10625479163964 \tabularnewline
62 & 81.2 & 85.2483178291112 & -4.04831782911121 \tabularnewline
63 & 90.5 & 91.6898318750943 & -1.18983187509428 \tabularnewline
64 & 86.4 & 84.5090530015489 & 1.89094699845114 \tabularnewline
65 & 81.8 & 86.0284128580304 & -4.22841285803037 \tabularnewline
66 & 91.3 & 90.0982412206081 & 1.20175877939188 \tabularnewline
67 & 73.4 & 77.5054613234366 & -4.10546132343663 \tabularnewline
68 & 76.6 & 77.4110208412203 & -0.811020841220341 \tabularnewline
69 & 91 & 88.3787772717339 & 2.62122272826615 \tabularnewline
70 & 87 & 90.3405611756915 & -3.34056117569146 \tabularnewline
71 & 89.7 & 86.4218381418754 & 3.27816185812462 \tabularnewline
72 & 90.7 & 85.1007630457789 & 5.59923695422111 \tabularnewline
73 & 86.5 & 87.5879203068834 & -1.08792030688345 \tabularnewline
74 & 86.6 & 86.8110814912933 & -0.211081491293328 \tabularnewline
75 & 98.8 & 94.9539939601807 & 3.84600603981931 \tabularnewline
76 & 84.4 & 89.8967117132376 & -5.49671171323762 \tabularnewline
77 & 91.4 & 88.0399877709247 & 3.36001222907532 \tabularnewline
78 & 95.7 & 95.4381446560647 & 0.261855343935338 \tabularnewline
79 & 78.5 & 81.6773518899393 & -3.17735188993929 \tabularnewline
80 & 81.7 & 82.4189057296289 & -0.718905729628929 \tabularnewline
81 & 94.3 & 93.9760078664099 & 0.323992133590124 \tabularnewline
82 & 98.5 & 94.2260944187259 & 4.27390558127411 \tabularnewline
83 & 95.4 & 93.8378989733463 & 1.56210102665366 \tabularnewline
84 & 91.7 & 92.3428915779786 & -0.642891577978574 \tabularnewline
85 & 92.8 & 91.7301395043223 & 1.0698604956777 \tabularnewline
86 & 90.5 & 91.7909102304167 & -1.29091023041667 \tabularnewline
87 & 102.2 & 100.24779347825 & 1.95220652175017 \tabularnewline
88 & 91.8 & 93.0573594857562 & -1.25735948575615 \tabularnewline
89 & 95 & 94.0096079368677 & 0.990392063132276 \tabularnewline
90 & 102 & 100.139732766462 & 1.86026723353791 \tabularnewline
91 & 88.9 & 86.3326665740434 & 2.56733342595658 \tabularnewline
92 & 89.6 & 89.3244232772358 & 0.275576722764242 \tabularnewline
93 & 97.9 & 101.371729577886 & -3.47172957788649 \tabularnewline
94 & 108.6 & 101.044020504653 & 7.55597949534652 \tabularnewline
95 & 100.8 & 101.270166318282 & -0.47016631828248 \tabularnewline
96 & 95.1 & 98.7613735327883 & -3.66137353278832 \tabularnewline
97 & 101 & 97.4562202488341 & 3.54377975116586 \tabularnewline
98 & 100.9 & 97.9284169677961 & 2.97158303220388 \tabularnewline
99 & 102.5 & 108.286317025867 & -5.78631702586715 \tabularnewline
100 & 105.4 & 98.0813472398271 & 7.3186527601729 \tabularnewline
101 & 98.4 & 102.160890491224 & -3.76089049122439 \tabularnewline
102 & 105.3 & 106.90335066644 & -1.60335066643977 \tabularnewline
103 & 96.5 & 92.0965906969397 & 4.40340930306027 \tabularnewline
104 & 88.1 & 95.3056953929668 & -7.20569539296677 \tabularnewline
105 & 107.9 & 104.333590527119 & 3.56640947288146 \tabularnewline
106 & 107 & 108.069848625452 & -1.06984862545202 \tabularnewline
107 & 92.5 & 104.210386396662 & -11.7103863966624 \tabularnewline
108 & 95.7 & 97.5627991212328 & -1.86279912123281 \tabularnewline
109 & 85.2 & 98.0115726862936 & -12.8115726862936 \tabularnewline
110 & 85.5 & 93.1254108239949 & -7.62541082399491 \tabularnewline
111 & 94.7 & 98.6438264794969 & -3.94382647949691 \tabularnewline
112 & 86.2 & 91.1689977606507 & -4.96899776065068 \tabularnewline
113 & 88.8 & 89.4862191033632 & -0.686219103363214 \tabularnewline
114 & 93.4 & 95.5702932242408 & -2.17029322424079 \tabularnewline
115 & 83.4 & 81.5605413921983 & 1.83945860780167 \tabularnewline
116 & 82.9 & 82.0511845489557 & 0.84881545104426 \tabularnewline
117 & 96.7 & 95.428552174616 & 1.27144782538399 \tabularnewline
118 & 96.2 & 97.6699954390027 & -1.46999543900267 \tabularnewline
119 & 92.8 & 91.9465781455562 & 0.853421854443752 \tabularnewline
120 & 92.8 & 90.9493186219644 & 1.85068137803562 \tabularnewline
121 & 90 & 90.8081162423023 & -0.808116242302262 \tabularnewline
122 & 95.4 & 90.6317621027329 & 4.76823789726706 \tabularnewline
123 & 108.3 & 100.740244769521 & 7.55975523047854 \tabularnewline
124 & 96.3 & 96.8014304540962 & -0.501430454096223 \tabularnewline
125 & 95 & 97.2552218205991 & -2.25522182059908 \tabularnewline
126 & 109 & 102.592202310937 & 6.40779768906295 \tabularnewline
127 & 92 & 91.9977419793997 & 0.00225802060030844 \tabularnewline
128 & 92.3 & 91.7354175681032 & 0.56458243189681 \tabularnewline
129 & 107 & 105.090204231762 & 1.90979576823786 \tabularnewline
130 & 105.5 & 107.090097681598 & -1.59009768159795 \tabularnewline
131 & 105.4 & 101.706894772736 & 3.69310522726401 \tabularnewline
132 & 103.9 & 101.786397077 & 2.11360292299977 \tabularnewline
133 & 99.2 & 101.296266024523 & -2.09626602452332 \tabularnewline
134 & 102.2 & 101.614565986066 & 0.585434013933664 \tabularnewline
135 & 121.5 & 110.831746606018 & 10.6682533939824 \tabularnewline
136 & 102.3 & 106.579078735832 & -4.27907873583217 \tabularnewline
137 & 110 & 105.530795424556 & 4.46920457544415 \tabularnewline
138 & 105.9 & 114.44514648165 & -8.54514648165042 \tabularnewline
139 & 91.9 & 97.9925482154849 & -6.09254821548485 \tabularnewline
140 & 100 & 95.8599052824952 & 4.14009471750475 \tabularnewline
141 & 111.7 & 110.585069402836 & 1.1149305971641 \tabularnewline
142 & 104.9 & 111.758359001761 & -6.85835900176087 \tabularnewline
143 & 103.3 & 105.54074439664 & -2.24074439663967 \tabularnewline
144 & 101.8 & 103.452477259084 & -1.65247725908351 \tabularnewline
145 & 100.8 & 101.063485483245 & -0.263485483245333 \tabularnewline
146 & 104.2 & 102.409089006412 & 1.79091099358847 \tabularnewline
147 & 116.5 & 113.658526872082 & 2.84147312791767 \tabularnewline
148 & 97.9 & 104.448846702825 & -6.54884670282495 \tabularnewline
149 & 100.7 & 104.096461980871 & -3.39646198087129 \tabularnewline
150 & 107 & 108.356491818814 & -1.35649181881405 \tabularnewline
151 & 96.3 & 94.6179797682982 & 1.68202023170176 \tabularnewline
152 & 96 & 96.6567218724973 & -0.656721872497286 \tabularnewline
153 & 104.5 & 109.344403215548 & -4.84440321554827 \tabularnewline
154 & 107.4 & 107.299091393782 & 0.100908606217615 \tabularnewline
155 & 102.4 & 104.074766571729 & -1.67476657172891 \tabularnewline
156 & 94.9 & 102.264624907985 & -7.36462490798542 \tabularnewline
157 & 98.8 & 98.2633023482916 & 0.536697651708437 \tabularnewline
158 & 96.8 & 100.201505980578 & -3.40150598057798 \tabularnewline
159 & 108.2 & 109.950735359811 & -1.75073535981085 \tabularnewline
160 & 103.8 & 97.7314797669284 & 6.06852023307158 \tabularnewline
161 & 102.3 & 101.954884519446 & 0.345115480554313 \tabularnewline
162 & 107.2 & 107.752044134783 & -0.552044134783415 \tabularnewline
163 & 102 & 94.7679837179074 & 7.23201628209259 \tabularnewline
164 & 92.6 & 98.2119826048979 & -5.61198260489792 \tabularnewline
165 & 105.2 & 108.621604984377 & -3.42160498437653 \tabularnewline
166 & 113 & 107.84074162974 & 5.15925837026032 \tabularnewline
167 & 105.6 & 105.955223476612 & -0.355223476612395 \tabularnewline
168 & 101.6 & 103.642024713538 & -2.04202471353753 \tabularnewline
169 & 101.7 & 102.642593189751 & -0.942593189750838 \tabularnewline
170 & 102.7 & 103.462390554235 & -0.762390554234983 \tabularnewline
171 & 109 & 114.330383084064 & -5.3303830840639 \tabularnewline
172 & 105.5 & 102.233859135803 & 3.26614086419669 \tabularnewline
173 & 103.3 & 104.621823258827 & -1.32182325882673 \tabularnewline
174 & 108.6 & 109.736069597301 & -1.13606959730058 \tabularnewline
175 & 98.2 & 97.8333405815716 & 0.366659418428398 \tabularnewline
176 & 90 & 96.9728131818574 & -6.9728131818574 \tabularnewline
177 & 112.4 & 107.301544894955 & 5.0984551050451 \tabularnewline
178 & 111.9 & 110.662698361306 & 1.23730163869375 \tabularnewline
179 & 102.1 & 106.615398454591 & -4.51539845459142 \tabularnewline
180 & 102.4 & 102.687907526835 & -0.287907526835198 \tabularnewline
181 & 101.7 & 102.432437693165 & -0.732437693164499 \tabularnewline
182 & 98.7 & 103.349272948149 & -4.64927294814866 \tabularnewline
183 & 114 & 112.221117741168 & 1.77888225883245 \tabularnewline
184 & 105.1 & 103.81500684595 & 1.28499315405003 \tabularnewline
185 & 98.3 & 104.817053137887 & -6.51705313788699 \tabularnewline
186 & 110 & 108.289162057206 & 1.71083794279356 \tabularnewline
187 & 96.5 & 97.5479468265377 & -1.04794682653774 \tabularnewline
188 & 92.2 & 95.0351947971227 & -2.8351947971227 \tabularnewline
189 & 112 & 108.664341528065 & 3.33565847193478 \tabularnewline
190 & 111.4 & 110.828388141474 & 0.571611858526026 \tabularnewline
191 & 107.5 & 105.628705196528 & 1.8712948034723 \tabularnewline
192 & 103.4 & 104.446566097375 & -1.04656609737467 \tabularnewline
193 & 103.5 & 103.87438279579 & -0.374382795789998 \tabularnewline
194 & 107.4 & 104.2677674529 & 3.13223254709953 \tabularnewline
195 & 117.6 & 116.69283659513 & 0.907163404870033 \tabularnewline
196 & 110.2 & 107.925567397465 & 2.27443260253484 \tabularnewline
197 & 104.3 & 107.973858634454 & -3.67385863445401 \tabularnewline
198 & 115.9 & 113.702951198417 & 2.19704880158291 \tabularnewline
199 & 98.9 & 102.668382917307 & -3.76838291730689 \tabularnewline
200 & 101.9 & 98.9884340884711 & 2.91156591152892 \tabularnewline
201 & 113.5 & 115.473830130605 & -1.97383013060451 \tabularnewline
202 & 109.5 & 115.477936757277 & -5.97793675727657 \tabularnewline
203 & 110 & 108.381786688167 & 1.61821331183346 \tabularnewline
204 & 114.2 & 106.642364059433 & 7.55763594056667 \tabularnewline
205 & 106.9 & 108.94962403907 & -2.04962403906973 \tabularnewline
206 & 109.2 & 109.375541687412 & -0.175541687411837 \tabularnewline
207 & 124.2 & 120.372945392498 & 3.82705460750206 \tabularnewline
208 & 104.7 & 112.768595304074 & -8.06859530407425 \tabularnewline
209 & 111.9 & 108.517317835863 & 3.38268216413724 \tabularnewline
210 & 119 & 117.475387139241 & 1.52461286075854 \tabularnewline
211 & 102.9 & 105.251574198512 & -2.35157419851181 \tabularnewline
212 & 106.3 & 103.11701115935 & 3.18298884065038 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314274&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]74.8[/C][C]72.2376602564103[/C][C]2.56233974358973[/C][/ROW]
[ROW][C]14[/C][C]73.7[/C][C]71.8943076849026[/C][C]1.80569231509745[/C][/ROW]
[ROW][C]15[/C][C]80.5[/C][C]79.4907114671964[/C][C]1.00928853280357[/C][/ROW]
[ROW][C]16[/C][C]71.8[/C][C]71.3557400601035[/C][C]0.44425993989654[/C][/ROW]
[ROW][C]17[/C][C]76.9[/C][C]76.8555435259211[/C][C]0.0444564740788707[/C][/ROW]
[ROW][C]18[/C][C]79.9[/C][C]80.3683104910608[/C][C]-0.468310491060763[/C][/ROW]
[ROW][C]19[/C][C]65.9[/C][C]64.2743428544966[/C][C]1.6256571455034[/C][/ROW]
[ROW][C]20[/C][C]69.5[/C][C]69.9169570861122[/C][C]-0.416957086112191[/C][/ROW]
[ROW][C]21[/C][C]75.1[/C][C]80.0353542700642[/C][C]-4.93535427006422[/C][/ROW]
[ROW][C]22[/C][C]79.6[/C][C]78.6783733790392[/C][C]0.921626620960794[/C][/ROW]
[ROW][C]23[/C][C]75.2[/C][C]79.1901821922938[/C][C]-3.99018219229379[/C][/ROW]
[ROW][C]24[/C][C]68[/C][C]71.7999673982273[/C][C]-3.7999673982273[/C][/ROW]
[ROW][C]25[/C][C]72.8[/C][C]74.5638238690806[/C][C]-1.76382386908057[/C][/ROW]
[ROW][C]26[/C][C]71.5[/C][C]72.7044239300333[/C][C]-1.20442393003331[/C][/ROW]
[ROW][C]27[/C][C]78.5[/C][C]79.2019541368055[/C][C]-0.701954136805455[/C][/ROW]
[ROW][C]28[/C][C]76.8[/C][C]70.4239675635218[/C][C]6.37603243647824[/C][/ROW]
[ROW][C]29[/C][C]75.3[/C][C]77.7681084881787[/C][C]-2.4681084881787[/C][/ROW]
[ROW][C]30[/C][C]76.7[/C][C]80.3884239991258[/C][C]-3.68842399912583[/C][/ROW]
[ROW][C]31[/C][C]69.7[/C][C]63.5993111348222[/C][C]6.10068886517776[/C][/ROW]
[ROW][C]32[/C][C]67.8[/C][C]70.3494231005984[/C][C]-2.54942310059843[/C][/ROW]
[ROW][C]33[/C][C]77.5[/C][C]79.0445348650292[/C][C]-1.54453486502925[/C][/ROW]
[ROW][C]34[/C][C]82.5[/C][C]79.7342050386943[/C][C]2.76579496130574[/C][/ROW]
[ROW][C]35[/C][C]75.3[/C][C]80.0387177809354[/C][C]-4.7387177809354[/C][/ROW]
[ROW][C]36[/C][C]70.9[/C][C]72.4385554666533[/C][C]-1.53855546665325[/C][/ROW]
[ROW][C]37[/C][C]76[/C][C]76.2624286141712[/C][C]-0.262428614171156[/C][/ROW]
[ROW][C]38[/C][C]73.7[/C][C]74.9775727239768[/C][C]-1.27757272397679[/C][/ROW]
[ROW][C]39[/C][C]79.7[/C][C]81.5334923810009[/C][C]-1.83349238100088[/C][/ROW]
[ROW][C]40[/C][C]77.8[/C][C]73.5454453131484[/C][C]4.25455468685163[/C][/ROW]
[ROW][C]41[/C][C]73.3[/C][C]78.7644436088968[/C][C]-5.46444360889677[/C][/ROW]
[ROW][C]42[/C][C]78.3[/C][C]80.2211950676382[/C][C]-1.92119506763824[/C][/ROW]
[ROW][C]43[/C][C]71.9[/C][C]65.5972820249261[/C][C]6.30271797507393[/C][/ROW]
[ROW][C]44[/C][C]67[/C][C]71.0018656979153[/C][C]-4.00186569791533[/C][/ROW]
[ROW][C]45[/C][C]82[/C][C]79.3932788984296[/C][C]2.60672110157041[/C][/ROW]
[ROW][C]46[/C][C]83.7[/C][C]82.1221861273337[/C][C]1.57781387266633[/C][/ROW]
[ROW][C]47[/C][C]74.8[/C][C]80.8205156000726[/C][C]-6.02051560007256[/C][/ROW]
[ROW][C]48[/C][C]80[/C][C]73.3295690697019[/C][C]6.67043093029812[/C][/ROW]
[ROW][C]49[/C][C]74.3[/C][C]80.004143669049[/C][C]-5.70414366904905[/C][/ROW]
[ROW][C]50[/C][C]76.8[/C][C]76.8019736724994[/C][C]-0.00197367249940328[/C][/ROW]
[ROW][C]51[/C][C]89[/C][C]83.6778759477686[/C][C]5.32212405223144[/C][/ROW]
[ROW][C]52[/C][C]81.9[/C][C]78.9861083926769[/C][C]2.91389160732315[/C][/ROW]
[ROW][C]53[/C][C]76.8[/C][C]82.1886587861875[/C][C]-5.38865878618749[/C][/ROW]
[ROW][C]54[/C][C]88.9[/C][C]84.2476004331728[/C][C]4.65239956682721[/C][/ROW]
[ROW][C]55[/C][C]75.8[/C][C]73.0808981542951[/C][C]2.71910184570486[/C][/ROW]
[ROW][C]56[/C][C]75.5[/C][C]75.6515004604289[/C][C]-0.151500460428892[/C][/ROW]
[ROW][C]57[/C][C]89.1[/C][C]86.3600635114633[/C][C]2.7399364885367[/C][/ROW]
[ROW][C]58[/C][C]88[/C][C]88.9640720905393[/C][C]-0.964072090539318[/C][/ROW]
[ROW][C]59[/C][C]85.9[/C][C]85.6050759380399[/C][C]0.294924061960131[/C][/ROW]
[ROW][C]60[/C][C]89.3[/C][C]82.2166704128127[/C][C]7.08332958718728[/C][/ROW]
[ROW][C]61[/C][C]82.9[/C][C]87.0062547916396[/C][C]-4.10625479163964[/C][/ROW]
[ROW][C]62[/C][C]81.2[/C][C]85.2483178291112[/C][C]-4.04831782911121[/C][/ROW]
[ROW][C]63[/C][C]90.5[/C][C]91.6898318750943[/C][C]-1.18983187509428[/C][/ROW]
[ROW][C]64[/C][C]86.4[/C][C]84.5090530015489[/C][C]1.89094699845114[/C][/ROW]
[ROW][C]65[/C][C]81.8[/C][C]86.0284128580304[/C][C]-4.22841285803037[/C][/ROW]
[ROW][C]66[/C][C]91.3[/C][C]90.0982412206081[/C][C]1.20175877939188[/C][/ROW]
[ROW][C]67[/C][C]73.4[/C][C]77.5054613234366[/C][C]-4.10546132343663[/C][/ROW]
[ROW][C]68[/C][C]76.6[/C][C]77.4110208412203[/C][C]-0.811020841220341[/C][/ROW]
[ROW][C]69[/C][C]91[/C][C]88.3787772717339[/C][C]2.62122272826615[/C][/ROW]
[ROW][C]70[/C][C]87[/C][C]90.3405611756915[/C][C]-3.34056117569146[/C][/ROW]
[ROW][C]71[/C][C]89.7[/C][C]86.4218381418754[/C][C]3.27816185812462[/C][/ROW]
[ROW][C]72[/C][C]90.7[/C][C]85.1007630457789[/C][C]5.59923695422111[/C][/ROW]
[ROW][C]73[/C][C]86.5[/C][C]87.5879203068834[/C][C]-1.08792030688345[/C][/ROW]
[ROW][C]74[/C][C]86.6[/C][C]86.8110814912933[/C][C]-0.211081491293328[/C][/ROW]
[ROW][C]75[/C][C]98.8[/C][C]94.9539939601807[/C][C]3.84600603981931[/C][/ROW]
[ROW][C]76[/C][C]84.4[/C][C]89.8967117132376[/C][C]-5.49671171323762[/C][/ROW]
[ROW][C]77[/C][C]91.4[/C][C]88.0399877709247[/C][C]3.36001222907532[/C][/ROW]
[ROW][C]78[/C][C]95.7[/C][C]95.4381446560647[/C][C]0.261855343935338[/C][/ROW]
[ROW][C]79[/C][C]78.5[/C][C]81.6773518899393[/C][C]-3.17735188993929[/C][/ROW]
[ROW][C]80[/C][C]81.7[/C][C]82.4189057296289[/C][C]-0.718905729628929[/C][/ROW]
[ROW][C]81[/C][C]94.3[/C][C]93.9760078664099[/C][C]0.323992133590124[/C][/ROW]
[ROW][C]82[/C][C]98.5[/C][C]94.2260944187259[/C][C]4.27390558127411[/C][/ROW]
[ROW][C]83[/C][C]95.4[/C][C]93.8378989733463[/C][C]1.56210102665366[/C][/ROW]
[ROW][C]84[/C][C]91.7[/C][C]92.3428915779786[/C][C]-0.642891577978574[/C][/ROW]
[ROW][C]85[/C][C]92.8[/C][C]91.7301395043223[/C][C]1.0698604956777[/C][/ROW]
[ROW][C]86[/C][C]90.5[/C][C]91.7909102304167[/C][C]-1.29091023041667[/C][/ROW]
[ROW][C]87[/C][C]102.2[/C][C]100.24779347825[/C][C]1.95220652175017[/C][/ROW]
[ROW][C]88[/C][C]91.8[/C][C]93.0573594857562[/C][C]-1.25735948575615[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]94.0096079368677[/C][C]0.990392063132276[/C][/ROW]
[ROW][C]90[/C][C]102[/C][C]100.139732766462[/C][C]1.86026723353791[/C][/ROW]
[ROW][C]91[/C][C]88.9[/C][C]86.3326665740434[/C][C]2.56733342595658[/C][/ROW]
[ROW][C]92[/C][C]89.6[/C][C]89.3244232772358[/C][C]0.275576722764242[/C][/ROW]
[ROW][C]93[/C][C]97.9[/C][C]101.371729577886[/C][C]-3.47172957788649[/C][/ROW]
[ROW][C]94[/C][C]108.6[/C][C]101.044020504653[/C][C]7.55597949534652[/C][/ROW]
[ROW][C]95[/C][C]100.8[/C][C]101.270166318282[/C][C]-0.47016631828248[/C][/ROW]
[ROW][C]96[/C][C]95.1[/C][C]98.7613735327883[/C][C]-3.66137353278832[/C][/ROW]
[ROW][C]97[/C][C]101[/C][C]97.4562202488341[/C][C]3.54377975116586[/C][/ROW]
[ROW][C]98[/C][C]100.9[/C][C]97.9284169677961[/C][C]2.97158303220388[/C][/ROW]
[ROW][C]99[/C][C]102.5[/C][C]108.286317025867[/C][C]-5.78631702586715[/C][/ROW]
[ROW][C]100[/C][C]105.4[/C][C]98.0813472398271[/C][C]7.3186527601729[/C][/ROW]
[ROW][C]101[/C][C]98.4[/C][C]102.160890491224[/C][C]-3.76089049122439[/C][/ROW]
[ROW][C]102[/C][C]105.3[/C][C]106.90335066644[/C][C]-1.60335066643977[/C][/ROW]
[ROW][C]103[/C][C]96.5[/C][C]92.0965906969397[/C][C]4.40340930306027[/C][/ROW]
[ROW][C]104[/C][C]88.1[/C][C]95.3056953929668[/C][C]-7.20569539296677[/C][/ROW]
[ROW][C]105[/C][C]107.9[/C][C]104.333590527119[/C][C]3.56640947288146[/C][/ROW]
[ROW][C]106[/C][C]107[/C][C]108.069848625452[/C][C]-1.06984862545202[/C][/ROW]
[ROW][C]107[/C][C]92.5[/C][C]104.210386396662[/C][C]-11.7103863966624[/C][/ROW]
[ROW][C]108[/C][C]95.7[/C][C]97.5627991212328[/C][C]-1.86279912123281[/C][/ROW]
[ROW][C]109[/C][C]85.2[/C][C]98.0115726862936[/C][C]-12.8115726862936[/C][/ROW]
[ROW][C]110[/C][C]85.5[/C][C]93.1254108239949[/C][C]-7.62541082399491[/C][/ROW]
[ROW][C]111[/C][C]94.7[/C][C]98.6438264794969[/C][C]-3.94382647949691[/C][/ROW]
[ROW][C]112[/C][C]86.2[/C][C]91.1689977606507[/C][C]-4.96899776065068[/C][/ROW]
[ROW][C]113[/C][C]88.8[/C][C]89.4862191033632[/C][C]-0.686219103363214[/C][/ROW]
[ROW][C]114[/C][C]93.4[/C][C]95.5702932242408[/C][C]-2.17029322424079[/C][/ROW]
[ROW][C]115[/C][C]83.4[/C][C]81.5605413921983[/C][C]1.83945860780167[/C][/ROW]
[ROW][C]116[/C][C]82.9[/C][C]82.0511845489557[/C][C]0.84881545104426[/C][/ROW]
[ROW][C]117[/C][C]96.7[/C][C]95.428552174616[/C][C]1.27144782538399[/C][/ROW]
[ROW][C]118[/C][C]96.2[/C][C]97.6699954390027[/C][C]-1.46999543900267[/C][/ROW]
[ROW][C]119[/C][C]92.8[/C][C]91.9465781455562[/C][C]0.853421854443752[/C][/ROW]
[ROW][C]120[/C][C]92.8[/C][C]90.9493186219644[/C][C]1.85068137803562[/C][/ROW]
[ROW][C]121[/C][C]90[/C][C]90.8081162423023[/C][C]-0.808116242302262[/C][/ROW]
[ROW][C]122[/C][C]95.4[/C][C]90.6317621027329[/C][C]4.76823789726706[/C][/ROW]
[ROW][C]123[/C][C]108.3[/C][C]100.740244769521[/C][C]7.55975523047854[/C][/ROW]
[ROW][C]124[/C][C]96.3[/C][C]96.8014304540962[/C][C]-0.501430454096223[/C][/ROW]
[ROW][C]125[/C][C]95[/C][C]97.2552218205991[/C][C]-2.25522182059908[/C][/ROW]
[ROW][C]126[/C][C]109[/C][C]102.592202310937[/C][C]6.40779768906295[/C][/ROW]
[ROW][C]127[/C][C]92[/C][C]91.9977419793997[/C][C]0.00225802060030844[/C][/ROW]
[ROW][C]128[/C][C]92.3[/C][C]91.7354175681032[/C][C]0.56458243189681[/C][/ROW]
[ROW][C]129[/C][C]107[/C][C]105.090204231762[/C][C]1.90979576823786[/C][/ROW]
[ROW][C]130[/C][C]105.5[/C][C]107.090097681598[/C][C]-1.59009768159795[/C][/ROW]
[ROW][C]131[/C][C]105.4[/C][C]101.706894772736[/C][C]3.69310522726401[/C][/ROW]
[ROW][C]132[/C][C]103.9[/C][C]101.786397077[/C][C]2.11360292299977[/C][/ROW]
[ROW][C]133[/C][C]99.2[/C][C]101.296266024523[/C][C]-2.09626602452332[/C][/ROW]
[ROW][C]134[/C][C]102.2[/C][C]101.614565986066[/C][C]0.585434013933664[/C][/ROW]
[ROW][C]135[/C][C]121.5[/C][C]110.831746606018[/C][C]10.6682533939824[/C][/ROW]
[ROW][C]136[/C][C]102.3[/C][C]106.579078735832[/C][C]-4.27907873583217[/C][/ROW]
[ROW][C]137[/C][C]110[/C][C]105.530795424556[/C][C]4.46920457544415[/C][/ROW]
[ROW][C]138[/C][C]105.9[/C][C]114.44514648165[/C][C]-8.54514648165042[/C][/ROW]
[ROW][C]139[/C][C]91.9[/C][C]97.9925482154849[/C][C]-6.09254821548485[/C][/ROW]
[ROW][C]140[/C][C]100[/C][C]95.8599052824952[/C][C]4.14009471750475[/C][/ROW]
[ROW][C]141[/C][C]111.7[/C][C]110.585069402836[/C][C]1.1149305971641[/C][/ROW]
[ROW][C]142[/C][C]104.9[/C][C]111.758359001761[/C][C]-6.85835900176087[/C][/ROW]
[ROW][C]143[/C][C]103.3[/C][C]105.54074439664[/C][C]-2.24074439663967[/C][/ROW]
[ROW][C]144[/C][C]101.8[/C][C]103.452477259084[/C][C]-1.65247725908351[/C][/ROW]
[ROW][C]145[/C][C]100.8[/C][C]101.063485483245[/C][C]-0.263485483245333[/C][/ROW]
[ROW][C]146[/C][C]104.2[/C][C]102.409089006412[/C][C]1.79091099358847[/C][/ROW]
[ROW][C]147[/C][C]116.5[/C][C]113.658526872082[/C][C]2.84147312791767[/C][/ROW]
[ROW][C]148[/C][C]97.9[/C][C]104.448846702825[/C][C]-6.54884670282495[/C][/ROW]
[ROW][C]149[/C][C]100.7[/C][C]104.096461980871[/C][C]-3.39646198087129[/C][/ROW]
[ROW][C]150[/C][C]107[/C][C]108.356491818814[/C][C]-1.35649181881405[/C][/ROW]
[ROW][C]151[/C][C]96.3[/C][C]94.6179797682982[/C][C]1.68202023170176[/C][/ROW]
[ROW][C]152[/C][C]96[/C][C]96.6567218724973[/C][C]-0.656721872497286[/C][/ROW]
[ROW][C]153[/C][C]104.5[/C][C]109.344403215548[/C][C]-4.84440321554827[/C][/ROW]
[ROW][C]154[/C][C]107.4[/C][C]107.299091393782[/C][C]0.100908606217615[/C][/ROW]
[ROW][C]155[/C][C]102.4[/C][C]104.074766571729[/C][C]-1.67476657172891[/C][/ROW]
[ROW][C]156[/C][C]94.9[/C][C]102.264624907985[/C][C]-7.36462490798542[/C][/ROW]
[ROW][C]157[/C][C]98.8[/C][C]98.2633023482916[/C][C]0.536697651708437[/C][/ROW]
[ROW][C]158[/C][C]96.8[/C][C]100.201505980578[/C][C]-3.40150598057798[/C][/ROW]
[ROW][C]159[/C][C]108.2[/C][C]109.950735359811[/C][C]-1.75073535981085[/C][/ROW]
[ROW][C]160[/C][C]103.8[/C][C]97.7314797669284[/C][C]6.06852023307158[/C][/ROW]
[ROW][C]161[/C][C]102.3[/C][C]101.954884519446[/C][C]0.345115480554313[/C][/ROW]
[ROW][C]162[/C][C]107.2[/C][C]107.752044134783[/C][C]-0.552044134783415[/C][/ROW]
[ROW][C]163[/C][C]102[/C][C]94.7679837179074[/C][C]7.23201628209259[/C][/ROW]
[ROW][C]164[/C][C]92.6[/C][C]98.2119826048979[/C][C]-5.61198260489792[/C][/ROW]
[ROW][C]165[/C][C]105.2[/C][C]108.621604984377[/C][C]-3.42160498437653[/C][/ROW]
[ROW][C]166[/C][C]113[/C][C]107.84074162974[/C][C]5.15925837026032[/C][/ROW]
[ROW][C]167[/C][C]105.6[/C][C]105.955223476612[/C][C]-0.355223476612395[/C][/ROW]
[ROW][C]168[/C][C]101.6[/C][C]103.642024713538[/C][C]-2.04202471353753[/C][/ROW]
[ROW][C]169[/C][C]101.7[/C][C]102.642593189751[/C][C]-0.942593189750838[/C][/ROW]
[ROW][C]170[/C][C]102.7[/C][C]103.462390554235[/C][C]-0.762390554234983[/C][/ROW]
[ROW][C]171[/C][C]109[/C][C]114.330383084064[/C][C]-5.3303830840639[/C][/ROW]
[ROW][C]172[/C][C]105.5[/C][C]102.233859135803[/C][C]3.26614086419669[/C][/ROW]
[ROW][C]173[/C][C]103.3[/C][C]104.621823258827[/C][C]-1.32182325882673[/C][/ROW]
[ROW][C]174[/C][C]108.6[/C][C]109.736069597301[/C][C]-1.13606959730058[/C][/ROW]
[ROW][C]175[/C][C]98.2[/C][C]97.8333405815716[/C][C]0.366659418428398[/C][/ROW]
[ROW][C]176[/C][C]90[/C][C]96.9728131818574[/C][C]-6.9728131818574[/C][/ROW]
[ROW][C]177[/C][C]112.4[/C][C]107.301544894955[/C][C]5.0984551050451[/C][/ROW]
[ROW][C]178[/C][C]111.9[/C][C]110.662698361306[/C][C]1.23730163869375[/C][/ROW]
[ROW][C]179[/C][C]102.1[/C][C]106.615398454591[/C][C]-4.51539845459142[/C][/ROW]
[ROW][C]180[/C][C]102.4[/C][C]102.687907526835[/C][C]-0.287907526835198[/C][/ROW]
[ROW][C]181[/C][C]101.7[/C][C]102.432437693165[/C][C]-0.732437693164499[/C][/ROW]
[ROW][C]182[/C][C]98.7[/C][C]103.349272948149[/C][C]-4.64927294814866[/C][/ROW]
[ROW][C]183[/C][C]114[/C][C]112.221117741168[/C][C]1.77888225883245[/C][/ROW]
[ROW][C]184[/C][C]105.1[/C][C]103.81500684595[/C][C]1.28499315405003[/C][/ROW]
[ROW][C]185[/C][C]98.3[/C][C]104.817053137887[/C][C]-6.51705313788699[/C][/ROW]
[ROW][C]186[/C][C]110[/C][C]108.289162057206[/C][C]1.71083794279356[/C][/ROW]
[ROW][C]187[/C][C]96.5[/C][C]97.5479468265377[/C][C]-1.04794682653774[/C][/ROW]
[ROW][C]188[/C][C]92.2[/C][C]95.0351947971227[/C][C]-2.8351947971227[/C][/ROW]
[ROW][C]189[/C][C]112[/C][C]108.664341528065[/C][C]3.33565847193478[/C][/ROW]
[ROW][C]190[/C][C]111.4[/C][C]110.828388141474[/C][C]0.571611858526026[/C][/ROW]
[ROW][C]191[/C][C]107.5[/C][C]105.628705196528[/C][C]1.8712948034723[/C][/ROW]
[ROW][C]192[/C][C]103.4[/C][C]104.446566097375[/C][C]-1.04656609737467[/C][/ROW]
[ROW][C]193[/C][C]103.5[/C][C]103.87438279579[/C][C]-0.374382795789998[/C][/ROW]
[ROW][C]194[/C][C]107.4[/C][C]104.2677674529[/C][C]3.13223254709953[/C][/ROW]
[ROW][C]195[/C][C]117.6[/C][C]116.69283659513[/C][C]0.907163404870033[/C][/ROW]
[ROW][C]196[/C][C]110.2[/C][C]107.925567397465[/C][C]2.27443260253484[/C][/ROW]
[ROW][C]197[/C][C]104.3[/C][C]107.973858634454[/C][C]-3.67385863445401[/C][/ROW]
[ROW][C]198[/C][C]115.9[/C][C]113.702951198417[/C][C]2.19704880158291[/C][/ROW]
[ROW][C]199[/C][C]98.9[/C][C]102.668382917307[/C][C]-3.76838291730689[/C][/ROW]
[ROW][C]200[/C][C]101.9[/C][C]98.9884340884711[/C][C]2.91156591152892[/C][/ROW]
[ROW][C]201[/C][C]113.5[/C][C]115.473830130605[/C][C]-1.97383013060451[/C][/ROW]
[ROW][C]202[/C][C]109.5[/C][C]115.477936757277[/C][C]-5.97793675727657[/C][/ROW]
[ROW][C]203[/C][C]110[/C][C]108.381786688167[/C][C]1.61821331183346[/C][/ROW]
[ROW][C]204[/C][C]114.2[/C][C]106.642364059433[/C][C]7.55763594056667[/C][/ROW]
[ROW][C]205[/C][C]106.9[/C][C]108.94962403907[/C][C]-2.04962403906973[/C][/ROW]
[ROW][C]206[/C][C]109.2[/C][C]109.375541687412[/C][C]-0.175541687411837[/C][/ROW]
[ROW][C]207[/C][C]124.2[/C][C]120.372945392498[/C][C]3.82705460750206[/C][/ROW]
[ROW][C]208[/C][C]104.7[/C][C]112.768595304074[/C][C]-8.06859530407425[/C][/ROW]
[ROW][C]209[/C][C]111.9[/C][C]108.517317835863[/C][C]3.38268216413724[/C][/ROW]
[ROW][C]210[/C][C]119[/C][C]117.475387139241[/C][C]1.52461286075854[/C][/ROW]
[ROW][C]211[/C][C]102.9[/C][C]105.251574198512[/C][C]-2.35157419851181[/C][/ROW]
[ROW][C]212[/C][C]106.3[/C][C]103.11701115935[/C][C]3.18298884065038[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314274&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314274&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
1374.872.23766025641032.56233974358973
1473.771.89430768490261.80569231509745
1580.579.49071146719641.00928853280357
1671.871.35574006010350.44425993989654
1776.976.85554352592110.0444564740788707
1879.980.3683104910608-0.468310491060763
1965.964.27434285449661.6256571455034
2069.569.9169570861122-0.416957086112191
2175.180.0353542700642-4.93535427006422
2279.678.67837337903920.921626620960794
2375.279.1901821922938-3.99018219229379
246871.7999673982273-3.7999673982273
2572.874.5638238690806-1.76382386908057
2671.572.7044239300333-1.20442393003331
2778.579.2019541368055-0.701954136805455
2876.870.42396756352186.37603243647824
2975.377.7681084881787-2.4681084881787
3076.780.3884239991258-3.68842399912583
3169.763.59931113482226.10068886517776
3267.870.3494231005984-2.54942310059843
3377.579.0445348650292-1.54453486502925
3482.579.73420503869432.76579496130574
3575.380.0387177809354-4.7387177809354
3670.972.4385554666533-1.53855546665325
377676.2624286141712-0.262428614171156
3873.774.9775727239768-1.27757272397679
3979.781.5334923810009-1.83349238100088
4077.873.54544531314844.25455468685163
4173.378.7644436088968-5.46444360889677
4278.380.2211950676382-1.92119506763824
4371.965.59728202492616.30271797507393
446771.0018656979153-4.00186569791533
458279.39327889842962.60672110157041
4683.782.12218612733371.57781387266633
4774.880.8205156000726-6.02051560007256
488073.32956906970196.67043093029812
4974.380.004143669049-5.70414366904905
5076.876.8019736724994-0.00197367249940328
518983.67787594776865.32212405223144
5281.978.98610839267692.91389160732315
5376.882.1886587861875-5.38865878618749
5488.984.24760043317284.65239956682721
5575.873.08089815429512.71910184570486
5675.575.6515004604289-0.151500460428892
5789.186.36006351146332.7399364885367
588888.9640720905393-0.964072090539318
5985.985.60507593803990.294924061960131
6089.382.21667041281277.08332958718728
6182.987.0062547916396-4.10625479163964
6281.285.2483178291112-4.04831782911121
6390.591.6898318750943-1.18983187509428
6486.484.50905300154891.89094699845114
6581.886.0284128580304-4.22841285803037
6691.390.09824122060811.20175877939188
6773.477.5054613234366-4.10546132343663
6876.677.4110208412203-0.811020841220341
699188.37877727173392.62122272826615
708790.3405611756915-3.34056117569146
7189.786.42183814187543.27816185812462
7290.785.10076304577895.59923695422111
7386.587.5879203068834-1.08792030688345
7486.686.8110814912933-0.211081491293328
7598.894.95399396018073.84600603981931
7684.489.8967117132376-5.49671171323762
7791.488.03998777092473.36001222907532
7895.795.43814465606470.261855343935338
7978.581.6773518899393-3.17735188993929
8081.782.4189057296289-0.718905729628929
8194.393.97600786640990.323992133590124
8298.594.22609441872594.27390558127411
8395.493.83789897334631.56210102665366
8491.792.3428915779786-0.642891577978574
8592.891.73013950432231.0698604956777
8690.591.7909102304167-1.29091023041667
87102.2100.247793478251.95220652175017
8891.893.0573594857562-1.25735948575615
899594.00960793686770.990392063132276
90102100.1397327664621.86026723353791
9188.986.33266657404342.56733342595658
9289.689.32442327723580.275576722764242
9397.9101.371729577886-3.47172957788649
94108.6101.0440205046537.55597949534652
95100.8101.270166318282-0.47016631828248
9695.198.7613735327883-3.66137353278832
9710197.45622024883413.54377975116586
98100.997.92841696779612.97158303220388
99102.5108.286317025867-5.78631702586715
100105.498.08134723982717.3186527601729
10198.4102.160890491224-3.76089049122439
102105.3106.90335066644-1.60335066643977
10396.592.09659069693974.40340930306027
10488.195.3056953929668-7.20569539296677
105107.9104.3335905271193.56640947288146
106107108.069848625452-1.06984862545202
10792.5104.210386396662-11.7103863966624
10895.797.5627991212328-1.86279912123281
10985.298.0115726862936-12.8115726862936
11085.593.1254108239949-7.62541082399491
11194.798.6438264794969-3.94382647949691
11286.291.1689977606507-4.96899776065068
11388.889.4862191033632-0.686219103363214
11493.495.5702932242408-2.17029322424079
11583.481.56054139219831.83945860780167
11682.982.05118454895570.84881545104426
11796.795.4285521746161.27144782538399
11896.297.6699954390027-1.46999543900267
11992.891.94657814555620.853421854443752
12092.890.94931862196441.85068137803562
1219090.8081162423023-0.808116242302262
12295.490.63176210273294.76823789726706
123108.3100.7402447695217.55975523047854
12496.396.8014304540962-0.501430454096223
1259597.2552218205991-2.25522182059908
126109102.5922023109376.40779768906295
1279291.99774197939970.00225802060030844
12892.391.73541756810320.56458243189681
129107105.0902042317621.90979576823786
130105.5107.090097681598-1.59009768159795
131105.4101.7068947727363.69310522726401
132103.9101.7863970772.11360292299977
13399.2101.296266024523-2.09626602452332
134102.2101.6145659860660.585434013933664
135121.5110.83174660601810.6682533939824
136102.3106.579078735832-4.27907873583217
137110105.5307954245564.46920457544415
138105.9114.44514648165-8.54514648165042
13991.997.9925482154849-6.09254821548485
14010095.85990528249524.14009471750475
141111.7110.5850694028361.1149305971641
142104.9111.758359001761-6.85835900176087
143103.3105.54074439664-2.24074439663967
144101.8103.452477259084-1.65247725908351
145100.8101.063485483245-0.263485483245333
146104.2102.4090890064121.79091099358847
147116.5113.6585268720822.84147312791767
14897.9104.448846702825-6.54884670282495
149100.7104.096461980871-3.39646198087129
150107108.356491818814-1.35649181881405
15196.394.61797976829821.68202023170176
1529696.6567218724973-0.656721872497286
153104.5109.344403215548-4.84440321554827
154107.4107.2990913937820.100908606217615
155102.4104.074766571729-1.67476657172891
15694.9102.264624907985-7.36462490798542
15798.898.26330234829160.536697651708437
15896.8100.201505980578-3.40150598057798
159108.2109.950735359811-1.75073535981085
160103.897.73147976692846.06852023307158
161102.3101.9548845194460.345115480554313
162107.2107.752044134783-0.552044134783415
16310294.76798371790747.23201628209259
16492.698.2119826048979-5.61198260489792
165105.2108.621604984377-3.42160498437653
166113107.840741629745.15925837026032
167105.6105.955223476612-0.355223476612395
168101.6103.642024713538-2.04202471353753
169101.7102.642593189751-0.942593189750838
170102.7103.462390554235-0.762390554234983
171109114.330383084064-5.3303830840639
172105.5102.2338591358033.26614086419669
173103.3104.621823258827-1.32182325882673
174108.6109.736069597301-1.13606959730058
17598.297.83334058157160.366659418428398
1769096.9728131818574-6.9728131818574
177112.4107.3015448949555.0984551050451
178111.9110.6626983613061.23730163869375
179102.1106.615398454591-4.51539845459142
180102.4102.687907526835-0.287907526835198
181101.7102.432437693165-0.732437693164499
18298.7103.349272948149-4.64927294814866
183114112.2211177411681.77888225883245
184105.1103.815006845951.28499315405003
18598.3104.817053137887-6.51705313788699
186110108.2891620572061.71083794279356
18796.597.5479468265377-1.04794682653774
18892.295.0351947971227-2.8351947971227
189112108.6643415280653.33565847193478
190111.4110.8283881414740.571611858526026
191107.5105.6287051965281.8712948034723
192103.4104.446566097375-1.04656609737467
193103.5103.87438279579-0.374382795789998
194107.4104.26776745293.13223254709953
195117.6116.692836595130.907163404870033
196110.2107.9255673974652.27443260253484
197104.3107.973858634454-3.67385863445401
198115.9113.7029511984172.19704880158291
19998.9102.668382917307-3.76838291730689
200101.998.98843408847112.91156591152892
201113.5115.473830130605-1.97383013060451
202109.5115.477936757277-5.97793675727657
203110108.3817866881671.61821331183346
204114.2106.6423640594337.55763594056667
205106.9108.94962403907-2.04962403906973
206109.2109.375541687412-0.175541687411837
207124.2120.3729453924983.82705460750206
208104.7112.768595304074-8.06859530407425
209111.9108.5173178358633.38268216413724
210119117.4753871392411.52461286075854
211102.9105.251574198512-2.35157419851181
212106.3103.117011159353.18298884065038







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213118.893126184575111.443484251614126.342768117536
214118.879695002841111.053563499427126.705826506255
215114.946635192771106.761312738028123.131957647515
216113.654819104075105.125418593633122.184219614517
217111.962508654506103.102382106486120.822635202526
218113.353837903097104.174893964586122.532781841608
219125.060450493853115.573397147016134.54750384069
220114.284298768392104.498832474692124.069765062092
221114.497779772058104.422735357043124.572824187073
222122.063915850662111.707387023689132.420444677636
223108.71721973273198.0866572488666119.347782216594
224108.24218166581697.3444741957686119.139889135864

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 118.893126184575 & 111.443484251614 & 126.342768117536 \tabularnewline
214 & 118.879695002841 & 111.053563499427 & 126.705826506255 \tabularnewline
215 & 114.946635192771 & 106.761312738028 & 123.131957647515 \tabularnewline
216 & 113.654819104075 & 105.125418593633 & 122.184219614517 \tabularnewline
217 & 111.962508654506 & 103.102382106486 & 120.822635202526 \tabularnewline
218 & 113.353837903097 & 104.174893964586 & 122.532781841608 \tabularnewline
219 & 125.060450493853 & 115.573397147016 & 134.54750384069 \tabularnewline
220 & 114.284298768392 & 104.498832474692 & 124.069765062092 \tabularnewline
221 & 114.497779772058 & 104.422735357043 & 124.572824187073 \tabularnewline
222 & 122.063915850662 & 111.707387023689 & 132.420444677636 \tabularnewline
223 & 108.717219732731 & 98.0866572488666 & 119.347782216594 \tabularnewline
224 & 108.242181665816 & 97.3444741957686 & 119.139889135864 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314274&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]118.893126184575[/C][C]111.443484251614[/C][C]126.342768117536[/C][/ROW]
[ROW][C]214[/C][C]118.879695002841[/C][C]111.053563499427[/C][C]126.705826506255[/C][/ROW]
[ROW][C]215[/C][C]114.946635192771[/C][C]106.761312738028[/C][C]123.131957647515[/C][/ROW]
[ROW][C]216[/C][C]113.654819104075[/C][C]105.125418593633[/C][C]122.184219614517[/C][/ROW]
[ROW][C]217[/C][C]111.962508654506[/C][C]103.102382106486[/C][C]120.822635202526[/C][/ROW]
[ROW][C]218[/C][C]113.353837903097[/C][C]104.174893964586[/C][C]122.532781841608[/C][/ROW]
[ROW][C]219[/C][C]125.060450493853[/C][C]115.573397147016[/C][C]134.54750384069[/C][/ROW]
[ROW][C]220[/C][C]114.284298768392[/C][C]104.498832474692[/C][C]124.069765062092[/C][/ROW]
[ROW][C]221[/C][C]114.497779772058[/C][C]104.422735357043[/C][C]124.572824187073[/C][/ROW]
[ROW][C]222[/C][C]122.063915850662[/C][C]111.707387023689[/C][C]132.420444677636[/C][/ROW]
[ROW][C]223[/C][C]108.717219732731[/C][C]98.0866572488666[/C][C]119.347782216594[/C][/ROW]
[ROW][C]224[/C][C]108.242181665816[/C][C]97.3444741957686[/C][C]119.139889135864[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314274&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314274&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
213118.893126184575111.443484251614126.342768117536
214118.879695002841111.053563499427126.705826506255
215114.946635192771106.761312738028123.131957647515
216113.654819104075105.125418593633122.184219614517
217111.962508654506103.102382106486120.822635202526
218113.353837903097104.174893964586122.532781841608
219125.060450493853115.573397147016134.54750384069
220114.284298768392104.498832474692124.069765062092
221114.497779772058104.422735357043124.572824187073
222122.063915850662111.707387023689132.420444677636
223108.71721973273198.0866572488666119.347782216594
224108.24218166581697.3444741957686119.139889135864



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
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')