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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 computationSun, 03 Dec 2017 15:09:21 +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/03/t1512310204gucgcfr27yl9b07.htm/, Retrieved Tue, 14 May 2024 09:03:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308456, Retrieved Tue, 14 May 2024 09:03:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [smoothing triple] [2017-12-03 14:09:21] [bf81c5bba8521cd7c521397a61beff5a] [Current]
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Dataseries X:
55.5
63
77.2
71.1
90.1
91.5
76.1
87.8
81
77.2
73.8
68.9
68.4
65.2
78.7
77
97.6
88.1
98.7
93.4
68
87.9
75.8
66.3
68.4
71.3
77.4
87.1
88.5
85.9
92.7
88.5
80.2
81.8
70.4
82.2
72.8
69
83
92.4
92.3
100.5
106.9
99.5
85.9
92.6
77.4
84.1
75.3
73.8
100.1
90.7
96.5
111.8
97.4
100.8
93.7
82
86
84.3
73.1
75.4
97.9
97.5
106
112.8
99.5
100.8
102.9
88.8
91.3
88.3
77.4
80.5
96.7
93.8
105
117.1
111.1
105.8
95.7
97.1
91
90.9
83.5
82.3
101.7
108.3
114
118.2
103.4
106.8
95.4
101.8
95.6
94.8
94
82.4
95.8
106.7
114.1
103.9
117.4
105.9
101.7
98.7
91.3
102.3
80.5
86.7
102.6
107.3
108
124.3
117.1
103.9
104.7
95.9
94.2
102.7
70.3
90.2
107.3
104.6
102.7
124.5
117.8
104.2
99.9
91.5
95.7
91.4
86.2
91.5
115.5
113.9
131.9
121.2
105.2
107.5
113.8
100.5
104.8
103.8
93.1
106.2
117.5
109.9
123.6
131.7
111
122
110.9
108
103.6
107.3
94.4
85.2
113.2
111.7
124.3
124
133.4
112.6
115.8
112.3
103.6
111.4
95.1
93.4
117.3
121.5
123.1
139.3
125.8
108.6
121
111.6
99.7
116.7
90.3
90.4
117.3
121.6
114.6
133.3
127.4
115
112.6
108.3
107.6
109
89
102.5
124.5
124.2
130.8
138.7
127.6
130.9
136.9
125.2
131.3
124.1
103.2
118.1
136.5
117.8
145.1
158.8
136.9
132.7




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=308456&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=308456&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308456&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
alpha0.133464656331313
beta0.00602082876465836
gamma0.28588019170679

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.133464656331313 \tabularnewline
beta & 0.00602082876465836 \tabularnewline
gamma & 0.28588019170679 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308456&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]0.133464656331313[/C][/ROW]
[ROW][C]beta[/C][C]0.00602082876465836[/C][/ROW]
[ROW][C]gamma[/C][C]0.28588019170679[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308456&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308456&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
alpha0.133464656331313
beta0.00602082876465836
gamma0.28588019170679







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1368.466.50008012820511.89991987179486
1465.262.76463412366762.43536587633241
1578.777.28594155114441.41405844885557
167776.25957682570050.74042317429948
1797.696.81890058009760.781099419902404
1888.187.83844750867680.261552491323243
1998.780.159696793489418.5403032065106
2093.494.1104116521063-0.710411652106259
216887.4662656040276-19.4662656040276
2287.981.14906682234736.7509331776527
2375.878.4863622988381-2.68636229883813
2466.373.449453703507-7.14945370350704
2568.472.0526266114642-3.65262661146423
2671.367.70655252753363.59344747246644
2777.482.1281469474628-4.72814694746279
2887.180.10893042613476.99106957386529
2988.5101.51138593759-13.0113859375902
3085.990.5491502853921-4.64915028539205
3192.786.72688870482775.97311129517229
3288.594.2051256665802-5.70512566658022
3380.282.2177358518614-2.01773585186142
3481.884.7076567354172-2.90765673541725
3570.478.3939481987152-7.9939481987152
3682.271.514711987211410.6852880127886
3772.873.3504446252241-0.550444625224074
386971.20193036276-2.20193036276
398382.77241266376740.227587336232617
4092.484.30557548199148.09442451800857
4192.3100.888880059981-8.58888005998121
42100.592.580687945537.91931205447003
43106.993.069632373488813.8303676265112
4499.598.7122122191420.787787780857983
4585.988.5187455824782-2.61874558247818
4692.690.72140305207451.87859694792552
4777.483.8037393215444-6.40373932154435
4884.181.78258897450572.31741102549432
4975.379.7299364738785-4.42993647387848
5073.876.6632207623623-2.86322076236235
51100.188.755454133514611.3445458664854
5290.793.7382427444785-3.03824274447851
5396.5104.710997610752-8.21099761075199
54111.8100.55118414949611.2488158505038
5597.4102.959941116576-5.55994111657597
56100.8102.779165266754-1.97916526675358
5793.791.3658423660062.33415763399395
588295.3409414777147-13.3409414777147
598684.32533182755991.67466817244012
6084.385.5343731107151-1.23437311071508
6173.181.324900494301-8.224900494301
6275.478.1254629576752-2.72546295767523
6397.993.74147257482814.15852742517193
6497.594.18219410587493.31780589412507
65106104.7069350192231.29306498077727
66112.8106.6290035009996.17099649900148
6799.5104.184754043218-4.68475404321765
68100.8104.997193930826-4.1971939308261
69102.994.34393988640048.5560601135996
7088.895.2589024416796-6.45890244167956
7191.388.8796560525032.42034394749703
7288.389.4662828303321-1.16628283033208
7377.483.532929380021-6.13292938002104
7480.581.9754887942201-1.47548879422008
7596.799.4651117231489-2.76511172314892
7693.898.7693879602229-4.96938796022289
77105107.675726351842-2.67572635184206
78117.1110.2625237583176.83747624168333
79111.1105.2045526941455.89544730585493
80105.8107.544929255476-1.74492925547632
8195.7100.375312759399-4.67531275939906
8297.195.79117974723691.3088202527631
839192.6409166000752-1.6409166000752
8490.991.7863998908983-0.886399890898332
8583.584.6496512836666-1.1496512836666
8682.384.9046867394274-2.60468673942741
87101.7101.916840773703-0.216840773703481
88108.3101.0099251907427.29007480925799
89114112.1252769091211.87472309087906
90118.2117.6843263083140.515673691685961
91103.4111.552440599483-8.152440599483
92106.8110.117104649272-3.31710464927193
9395.4102.002363371744-6.60236337174443
94101.898.63254495380693.16745504619308
9595.694.99019963704320.60980036295679
9694.894.61537576256530.184624237434676
979487.54960643344166.45039356655843
9882.488.4578867729531-6.0578867729531
9995.8105.597272195947-9.79727219594693
100106.7105.2602436498671.43975635013291
101114.1114.237447105186-0.137447105186354
102103.9119.173837133968-15.273837133968
103117.4108.7571758580728.64282414192758
104105.9110.744622477455-4.84462247745519
105101.7101.5943157550.105684245000376
10698.7101.527551948065-2.82755194806518
10791.396.4342081784213-5.13420817842126
108102.395.16553844225737.13446155774267
10980.590.5632040969324-10.0632040969324
11086.786.13930343593680.560696564063178
111102.6103.211431964232-0.611431964231897
112107.3106.8672025246050.432797475394921
113108115.301608155975-7.30160815597482
114124.3115.5087211706218.79127882937937
115117.1114.2245540244812.87544597551904
116103.9112.092333235599-8.19233323559946
117104.7103.7101068679170.989893132083466
11895.9103.023992682349-7.12399268234894
11994.296.7716321342506-2.57163213425056
120102.798.87211799480063.82788200519937
12170.389.5534008656199-19.2534008656199
12290.286.51258311294443.68741688705565
123107.3103.6920054344083.60799456559165
124104.6108.153345962508-3.5533459625081
125102.7114.120274928931-11.4202749289315
126124.5117.7415374465056.75846255349543
127117.8114.6961571088433.10384289115663
128104.2109.82843129607-5.62843129606978
12999.9104.040906056944-4.14090605694363
13091.5100.633715003901-9.13371500390112
13195.795.21296564710650.48703435289346
13291.499.2815579748984-7.88155797489844
13386.282.64737873545633.55262126454373
13491.588.31685757829643.18314242170364
135115.5105.39237490031110.107625099689
136113.9108.9354368540824.96456314591842
137131.9114.08550871969617.8144912803041
138121.2126.130544746355-4.93054474635461
139105.2120.628992906194-15.4289929061942
140107.5111.118930541092-3.61893054109177
141113.8105.964062186387.83593781362028
142100.5102.924097581153-2.42409758115335
143104.8100.7931257084854.00687429151526
144103.8103.2721865061350.527813493864628
14593.190.61346021496412.4865397850359
146106.296.068832642471210.1311673575288
147117.5115.8123254513071.68767454869317
148109.9116.976079328023-7.076079328023
149123.6123.711251930909-0.111251930908765
150131.7127.7237583713373.97624162866258
151111120.811818024663-9.81181802466303
152122114.9832163097257.01678369027488
153110.9114.10016221343-3.20016221343042
154108107.0513915371370.948608462863092
155103.6106.972174760473-3.37217476047306
156107.3107.607116069923-0.307116069923467
15794.495.324085410942-0.924085410942013
15885.2102.217190014332-17.0171900143324
159113.2116.223016895434-3.02301689543401
160111.7114.56061809021-2.8606180902099
161124.3123.5607186803030.739281319697326
162124128.676949251897-4.67694925189724
163133.4117.16514172884216.2348582711575
164112.6118.973330277872-6.37333027787213
165115.8113.753022789572.0469772104299
166112.3108.4173810809583.88261891904219
167103.6107.646807288319-4.04680728831867
168111.4108.9378830043622.46211699563835
16995.196.8607148939568-1.76071489395683
17093.499.6439244529906-6.24392445299063
171117.3118.551403595771-1.25140359577138
172121.5117.164197932784.33580206721984
173123.1128.020850294607-4.92085029460708
174139.3131.0396656585038.26033434149704
175125.8126.445057418723-0.645057418722971
176108.6120.396335183402-11.796335183402
177121116.5303950031994.46960499680054
178111.6111.966993778457-0.366993778457257
17999.7108.655683051443-8.95568305144272
180116.7110.8908334649415.80916653505908
18190.398.2037764544545-7.90377645445447
18290.499.0410641964741-8.6410641964741
183117.3118.848021492709-1.5480214927088
184121.6118.7877195230032.81228047699727
185114.6127.129104008961-12.5291040089612
186133.3132.3728607482260.927139251773781
187127.4124.5626082222572.8373917777427
188115116.18818357045-1.18818357045026
189112.6117.74803303841-5.14803303840999
190108.3110.67563238673-2.37563238673047
191107.6104.9397529416392.66024705836051
192109112.363329397005-3.36332939700453
1938995.0281381390194-6.02813813901943
194102.595.9077322379336.59226776206704
195124.5119.4917877800045.00821221999638
196124.2121.3787975080752.82120249192519
197130.8125.9130601615754.88693983842548
198138.7136.8208262639561.87917373604364
199127.6129.617750868861-2.01775086886107
200130.9119.60109432888411.2989056711164
201136.9121.85960311375115.0403968862486
202125.2118.1976899539817.00231004601879
203131.3114.99773675676916.3022632432313
204124.1122.7975979613671.3024020386332
205103.2105.476475631566-2.27647563156596
206118.1110.0376917113998.06230828860146
207136.5133.4812302854243.01876971457608
208117.8134.6150386788-16.8150386787999
209145.1137.0786100295138.02138997048672
210158.8147.70045094754311.0995490524565
211136.9140.810848430335-3.91084843033528
212132.7133.887127081587-1.18712708158697

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 68.4 & 66.5000801282051 & 1.89991987179486 \tabularnewline
14 & 65.2 & 62.7646341236676 & 2.43536587633241 \tabularnewline
15 & 78.7 & 77.2859415511444 & 1.41405844885557 \tabularnewline
16 & 77 & 76.2595768257005 & 0.74042317429948 \tabularnewline
17 & 97.6 & 96.8189005800976 & 0.781099419902404 \tabularnewline
18 & 88.1 & 87.8384475086768 & 0.261552491323243 \tabularnewline
19 & 98.7 & 80.1596967934894 & 18.5403032065106 \tabularnewline
20 & 93.4 & 94.1104116521063 & -0.710411652106259 \tabularnewline
21 & 68 & 87.4662656040276 & -19.4662656040276 \tabularnewline
22 & 87.9 & 81.1490668223473 & 6.7509331776527 \tabularnewline
23 & 75.8 & 78.4863622988381 & -2.68636229883813 \tabularnewline
24 & 66.3 & 73.449453703507 & -7.14945370350704 \tabularnewline
25 & 68.4 & 72.0526266114642 & -3.65262661146423 \tabularnewline
26 & 71.3 & 67.7065525275336 & 3.59344747246644 \tabularnewline
27 & 77.4 & 82.1281469474628 & -4.72814694746279 \tabularnewline
28 & 87.1 & 80.1089304261347 & 6.99106957386529 \tabularnewline
29 & 88.5 & 101.51138593759 & -13.0113859375902 \tabularnewline
30 & 85.9 & 90.5491502853921 & -4.64915028539205 \tabularnewline
31 & 92.7 & 86.7268887048277 & 5.97311129517229 \tabularnewline
32 & 88.5 & 94.2051256665802 & -5.70512566658022 \tabularnewline
33 & 80.2 & 82.2177358518614 & -2.01773585186142 \tabularnewline
34 & 81.8 & 84.7076567354172 & -2.90765673541725 \tabularnewline
35 & 70.4 & 78.3939481987152 & -7.9939481987152 \tabularnewline
36 & 82.2 & 71.5147119872114 & 10.6852880127886 \tabularnewline
37 & 72.8 & 73.3504446252241 & -0.550444625224074 \tabularnewline
38 & 69 & 71.20193036276 & -2.20193036276 \tabularnewline
39 & 83 & 82.7724126637674 & 0.227587336232617 \tabularnewline
40 & 92.4 & 84.3055754819914 & 8.09442451800857 \tabularnewline
41 & 92.3 & 100.888880059981 & -8.58888005998121 \tabularnewline
42 & 100.5 & 92.58068794553 & 7.91931205447003 \tabularnewline
43 & 106.9 & 93.0696323734888 & 13.8303676265112 \tabularnewline
44 & 99.5 & 98.712212219142 & 0.787787780857983 \tabularnewline
45 & 85.9 & 88.5187455824782 & -2.61874558247818 \tabularnewline
46 & 92.6 & 90.7214030520745 & 1.87859694792552 \tabularnewline
47 & 77.4 & 83.8037393215444 & -6.40373932154435 \tabularnewline
48 & 84.1 & 81.7825889745057 & 2.31741102549432 \tabularnewline
49 & 75.3 & 79.7299364738785 & -4.42993647387848 \tabularnewline
50 & 73.8 & 76.6632207623623 & -2.86322076236235 \tabularnewline
51 & 100.1 & 88.7554541335146 & 11.3445458664854 \tabularnewline
52 & 90.7 & 93.7382427444785 & -3.03824274447851 \tabularnewline
53 & 96.5 & 104.710997610752 & -8.21099761075199 \tabularnewline
54 & 111.8 & 100.551184149496 & 11.2488158505038 \tabularnewline
55 & 97.4 & 102.959941116576 & -5.55994111657597 \tabularnewline
56 & 100.8 & 102.779165266754 & -1.97916526675358 \tabularnewline
57 & 93.7 & 91.365842366006 & 2.33415763399395 \tabularnewline
58 & 82 & 95.3409414777147 & -13.3409414777147 \tabularnewline
59 & 86 & 84.3253318275599 & 1.67466817244012 \tabularnewline
60 & 84.3 & 85.5343731107151 & -1.23437311071508 \tabularnewline
61 & 73.1 & 81.324900494301 & -8.224900494301 \tabularnewline
62 & 75.4 & 78.1254629576752 & -2.72546295767523 \tabularnewline
63 & 97.9 & 93.7414725748281 & 4.15852742517193 \tabularnewline
64 & 97.5 & 94.1821941058749 & 3.31780589412507 \tabularnewline
65 & 106 & 104.706935019223 & 1.29306498077727 \tabularnewline
66 & 112.8 & 106.629003500999 & 6.17099649900148 \tabularnewline
67 & 99.5 & 104.184754043218 & -4.68475404321765 \tabularnewline
68 & 100.8 & 104.997193930826 & -4.1971939308261 \tabularnewline
69 & 102.9 & 94.3439398864004 & 8.5560601135996 \tabularnewline
70 & 88.8 & 95.2589024416796 & -6.45890244167956 \tabularnewline
71 & 91.3 & 88.879656052503 & 2.42034394749703 \tabularnewline
72 & 88.3 & 89.4662828303321 & -1.16628283033208 \tabularnewline
73 & 77.4 & 83.532929380021 & -6.13292938002104 \tabularnewline
74 & 80.5 & 81.9754887942201 & -1.47548879422008 \tabularnewline
75 & 96.7 & 99.4651117231489 & -2.76511172314892 \tabularnewline
76 & 93.8 & 98.7693879602229 & -4.96938796022289 \tabularnewline
77 & 105 & 107.675726351842 & -2.67572635184206 \tabularnewline
78 & 117.1 & 110.262523758317 & 6.83747624168333 \tabularnewline
79 & 111.1 & 105.204552694145 & 5.89544730585493 \tabularnewline
80 & 105.8 & 107.544929255476 & -1.74492925547632 \tabularnewline
81 & 95.7 & 100.375312759399 & -4.67531275939906 \tabularnewline
82 & 97.1 & 95.7911797472369 & 1.3088202527631 \tabularnewline
83 & 91 & 92.6409166000752 & -1.6409166000752 \tabularnewline
84 & 90.9 & 91.7863998908983 & -0.886399890898332 \tabularnewline
85 & 83.5 & 84.6496512836666 & -1.1496512836666 \tabularnewline
86 & 82.3 & 84.9046867394274 & -2.60468673942741 \tabularnewline
87 & 101.7 & 101.916840773703 & -0.216840773703481 \tabularnewline
88 & 108.3 & 101.009925190742 & 7.29007480925799 \tabularnewline
89 & 114 & 112.125276909121 & 1.87472309087906 \tabularnewline
90 & 118.2 & 117.684326308314 & 0.515673691685961 \tabularnewline
91 & 103.4 & 111.552440599483 & -8.152440599483 \tabularnewline
92 & 106.8 & 110.117104649272 & -3.31710464927193 \tabularnewline
93 & 95.4 & 102.002363371744 & -6.60236337174443 \tabularnewline
94 & 101.8 & 98.6325449538069 & 3.16745504619308 \tabularnewline
95 & 95.6 & 94.9901996370432 & 0.60980036295679 \tabularnewline
96 & 94.8 & 94.6153757625653 & 0.184624237434676 \tabularnewline
97 & 94 & 87.5496064334416 & 6.45039356655843 \tabularnewline
98 & 82.4 & 88.4578867729531 & -6.0578867729531 \tabularnewline
99 & 95.8 & 105.597272195947 & -9.79727219594693 \tabularnewline
100 & 106.7 & 105.260243649867 & 1.43975635013291 \tabularnewline
101 & 114.1 & 114.237447105186 & -0.137447105186354 \tabularnewline
102 & 103.9 & 119.173837133968 & -15.273837133968 \tabularnewline
103 & 117.4 & 108.757175858072 & 8.64282414192758 \tabularnewline
104 & 105.9 & 110.744622477455 & -4.84462247745519 \tabularnewline
105 & 101.7 & 101.594315755 & 0.105684245000376 \tabularnewline
106 & 98.7 & 101.527551948065 & -2.82755194806518 \tabularnewline
107 & 91.3 & 96.4342081784213 & -5.13420817842126 \tabularnewline
108 & 102.3 & 95.1655384422573 & 7.13446155774267 \tabularnewline
109 & 80.5 & 90.5632040969324 & -10.0632040969324 \tabularnewline
110 & 86.7 & 86.1393034359368 & 0.560696564063178 \tabularnewline
111 & 102.6 & 103.211431964232 & -0.611431964231897 \tabularnewline
112 & 107.3 & 106.867202524605 & 0.432797475394921 \tabularnewline
113 & 108 & 115.301608155975 & -7.30160815597482 \tabularnewline
114 & 124.3 & 115.508721170621 & 8.79127882937937 \tabularnewline
115 & 117.1 & 114.224554024481 & 2.87544597551904 \tabularnewline
116 & 103.9 & 112.092333235599 & -8.19233323559946 \tabularnewline
117 & 104.7 & 103.710106867917 & 0.989893132083466 \tabularnewline
118 & 95.9 & 103.023992682349 & -7.12399268234894 \tabularnewline
119 & 94.2 & 96.7716321342506 & -2.57163213425056 \tabularnewline
120 & 102.7 & 98.8721179948006 & 3.82788200519937 \tabularnewline
121 & 70.3 & 89.5534008656199 & -19.2534008656199 \tabularnewline
122 & 90.2 & 86.5125831129444 & 3.68741688705565 \tabularnewline
123 & 107.3 & 103.692005434408 & 3.60799456559165 \tabularnewline
124 & 104.6 & 108.153345962508 & -3.5533459625081 \tabularnewline
125 & 102.7 & 114.120274928931 & -11.4202749289315 \tabularnewline
126 & 124.5 & 117.741537446505 & 6.75846255349543 \tabularnewline
127 & 117.8 & 114.696157108843 & 3.10384289115663 \tabularnewline
128 & 104.2 & 109.82843129607 & -5.62843129606978 \tabularnewline
129 & 99.9 & 104.040906056944 & -4.14090605694363 \tabularnewline
130 & 91.5 & 100.633715003901 & -9.13371500390112 \tabularnewline
131 & 95.7 & 95.2129656471065 & 0.48703435289346 \tabularnewline
132 & 91.4 & 99.2815579748984 & -7.88155797489844 \tabularnewline
133 & 86.2 & 82.6473787354563 & 3.55262126454373 \tabularnewline
134 & 91.5 & 88.3168575782964 & 3.18314242170364 \tabularnewline
135 & 115.5 & 105.392374900311 & 10.107625099689 \tabularnewline
136 & 113.9 & 108.935436854082 & 4.96456314591842 \tabularnewline
137 & 131.9 & 114.085508719696 & 17.8144912803041 \tabularnewline
138 & 121.2 & 126.130544746355 & -4.93054474635461 \tabularnewline
139 & 105.2 & 120.628992906194 & -15.4289929061942 \tabularnewline
140 & 107.5 & 111.118930541092 & -3.61893054109177 \tabularnewline
141 & 113.8 & 105.96406218638 & 7.83593781362028 \tabularnewline
142 & 100.5 & 102.924097581153 & -2.42409758115335 \tabularnewline
143 & 104.8 & 100.793125708485 & 4.00687429151526 \tabularnewline
144 & 103.8 & 103.272186506135 & 0.527813493864628 \tabularnewline
145 & 93.1 & 90.6134602149641 & 2.4865397850359 \tabularnewline
146 & 106.2 & 96.0688326424712 & 10.1311673575288 \tabularnewline
147 & 117.5 & 115.812325451307 & 1.68767454869317 \tabularnewline
148 & 109.9 & 116.976079328023 & -7.076079328023 \tabularnewline
149 & 123.6 & 123.711251930909 & -0.111251930908765 \tabularnewline
150 & 131.7 & 127.723758371337 & 3.97624162866258 \tabularnewline
151 & 111 & 120.811818024663 & -9.81181802466303 \tabularnewline
152 & 122 & 114.983216309725 & 7.01678369027488 \tabularnewline
153 & 110.9 & 114.10016221343 & -3.20016221343042 \tabularnewline
154 & 108 & 107.051391537137 & 0.948608462863092 \tabularnewline
155 & 103.6 & 106.972174760473 & -3.37217476047306 \tabularnewline
156 & 107.3 & 107.607116069923 & -0.307116069923467 \tabularnewline
157 & 94.4 & 95.324085410942 & -0.924085410942013 \tabularnewline
158 & 85.2 & 102.217190014332 & -17.0171900143324 \tabularnewline
159 & 113.2 & 116.223016895434 & -3.02301689543401 \tabularnewline
160 & 111.7 & 114.56061809021 & -2.8606180902099 \tabularnewline
161 & 124.3 & 123.560718680303 & 0.739281319697326 \tabularnewline
162 & 124 & 128.676949251897 & -4.67694925189724 \tabularnewline
163 & 133.4 & 117.165141728842 & 16.2348582711575 \tabularnewline
164 & 112.6 & 118.973330277872 & -6.37333027787213 \tabularnewline
165 & 115.8 & 113.75302278957 & 2.0469772104299 \tabularnewline
166 & 112.3 & 108.417381080958 & 3.88261891904219 \tabularnewline
167 & 103.6 & 107.646807288319 & -4.04680728831867 \tabularnewline
168 & 111.4 & 108.937883004362 & 2.46211699563835 \tabularnewline
169 & 95.1 & 96.8607148939568 & -1.76071489395683 \tabularnewline
170 & 93.4 & 99.6439244529906 & -6.24392445299063 \tabularnewline
171 & 117.3 & 118.551403595771 & -1.25140359577138 \tabularnewline
172 & 121.5 & 117.16419793278 & 4.33580206721984 \tabularnewline
173 & 123.1 & 128.020850294607 & -4.92085029460708 \tabularnewline
174 & 139.3 & 131.039665658503 & 8.26033434149704 \tabularnewline
175 & 125.8 & 126.445057418723 & -0.645057418722971 \tabularnewline
176 & 108.6 & 120.396335183402 & -11.796335183402 \tabularnewline
177 & 121 & 116.530395003199 & 4.46960499680054 \tabularnewline
178 & 111.6 & 111.966993778457 & -0.366993778457257 \tabularnewline
179 & 99.7 & 108.655683051443 & -8.95568305144272 \tabularnewline
180 & 116.7 & 110.890833464941 & 5.80916653505908 \tabularnewline
181 & 90.3 & 98.2037764544545 & -7.90377645445447 \tabularnewline
182 & 90.4 & 99.0410641964741 & -8.6410641964741 \tabularnewline
183 & 117.3 & 118.848021492709 & -1.5480214927088 \tabularnewline
184 & 121.6 & 118.787719523003 & 2.81228047699727 \tabularnewline
185 & 114.6 & 127.129104008961 & -12.5291040089612 \tabularnewline
186 & 133.3 & 132.372860748226 & 0.927139251773781 \tabularnewline
187 & 127.4 & 124.562608222257 & 2.8373917777427 \tabularnewline
188 & 115 & 116.18818357045 & -1.18818357045026 \tabularnewline
189 & 112.6 & 117.74803303841 & -5.14803303840999 \tabularnewline
190 & 108.3 & 110.67563238673 & -2.37563238673047 \tabularnewline
191 & 107.6 & 104.939752941639 & 2.66024705836051 \tabularnewline
192 & 109 & 112.363329397005 & -3.36332939700453 \tabularnewline
193 & 89 & 95.0281381390194 & -6.02813813901943 \tabularnewline
194 & 102.5 & 95.907732237933 & 6.59226776206704 \tabularnewline
195 & 124.5 & 119.491787780004 & 5.00821221999638 \tabularnewline
196 & 124.2 & 121.378797508075 & 2.82120249192519 \tabularnewline
197 & 130.8 & 125.913060161575 & 4.88693983842548 \tabularnewline
198 & 138.7 & 136.820826263956 & 1.87917373604364 \tabularnewline
199 & 127.6 & 129.617750868861 & -2.01775086886107 \tabularnewline
200 & 130.9 & 119.601094328884 & 11.2989056711164 \tabularnewline
201 & 136.9 & 121.859603113751 & 15.0403968862486 \tabularnewline
202 & 125.2 & 118.197689953981 & 7.00231004601879 \tabularnewline
203 & 131.3 & 114.997736756769 & 16.3022632432313 \tabularnewline
204 & 124.1 & 122.797597961367 & 1.3024020386332 \tabularnewline
205 & 103.2 & 105.476475631566 & -2.27647563156596 \tabularnewline
206 & 118.1 & 110.037691711399 & 8.06230828860146 \tabularnewline
207 & 136.5 & 133.481230285424 & 3.01876971457608 \tabularnewline
208 & 117.8 & 134.6150386788 & -16.8150386787999 \tabularnewline
209 & 145.1 & 137.078610029513 & 8.02138997048672 \tabularnewline
210 & 158.8 & 147.700450947543 & 11.0995490524565 \tabularnewline
211 & 136.9 & 140.810848430335 & -3.91084843033528 \tabularnewline
212 & 132.7 & 133.887127081587 & -1.18712708158697 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308456&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]68.4[/C][C]66.5000801282051[/C][C]1.89991987179486[/C][/ROW]
[ROW][C]14[/C][C]65.2[/C][C]62.7646341236676[/C][C]2.43536587633241[/C][/ROW]
[ROW][C]15[/C][C]78.7[/C][C]77.2859415511444[/C][C]1.41405844885557[/C][/ROW]
[ROW][C]16[/C][C]77[/C][C]76.2595768257005[/C][C]0.74042317429948[/C][/ROW]
[ROW][C]17[/C][C]97.6[/C][C]96.8189005800976[/C][C]0.781099419902404[/C][/ROW]
[ROW][C]18[/C][C]88.1[/C][C]87.8384475086768[/C][C]0.261552491323243[/C][/ROW]
[ROW][C]19[/C][C]98.7[/C][C]80.1596967934894[/C][C]18.5403032065106[/C][/ROW]
[ROW][C]20[/C][C]93.4[/C][C]94.1104116521063[/C][C]-0.710411652106259[/C][/ROW]
[ROW][C]21[/C][C]68[/C][C]87.4662656040276[/C][C]-19.4662656040276[/C][/ROW]
[ROW][C]22[/C][C]87.9[/C][C]81.1490668223473[/C][C]6.7509331776527[/C][/ROW]
[ROW][C]23[/C][C]75.8[/C][C]78.4863622988381[/C][C]-2.68636229883813[/C][/ROW]
[ROW][C]24[/C][C]66.3[/C][C]73.449453703507[/C][C]-7.14945370350704[/C][/ROW]
[ROW][C]25[/C][C]68.4[/C][C]72.0526266114642[/C][C]-3.65262661146423[/C][/ROW]
[ROW][C]26[/C][C]71.3[/C][C]67.7065525275336[/C][C]3.59344747246644[/C][/ROW]
[ROW][C]27[/C][C]77.4[/C][C]82.1281469474628[/C][C]-4.72814694746279[/C][/ROW]
[ROW][C]28[/C][C]87.1[/C][C]80.1089304261347[/C][C]6.99106957386529[/C][/ROW]
[ROW][C]29[/C][C]88.5[/C][C]101.51138593759[/C][C]-13.0113859375902[/C][/ROW]
[ROW][C]30[/C][C]85.9[/C][C]90.5491502853921[/C][C]-4.64915028539205[/C][/ROW]
[ROW][C]31[/C][C]92.7[/C][C]86.7268887048277[/C][C]5.97311129517229[/C][/ROW]
[ROW][C]32[/C][C]88.5[/C][C]94.2051256665802[/C][C]-5.70512566658022[/C][/ROW]
[ROW][C]33[/C][C]80.2[/C][C]82.2177358518614[/C][C]-2.01773585186142[/C][/ROW]
[ROW][C]34[/C][C]81.8[/C][C]84.7076567354172[/C][C]-2.90765673541725[/C][/ROW]
[ROW][C]35[/C][C]70.4[/C][C]78.3939481987152[/C][C]-7.9939481987152[/C][/ROW]
[ROW][C]36[/C][C]82.2[/C][C]71.5147119872114[/C][C]10.6852880127886[/C][/ROW]
[ROW][C]37[/C][C]72.8[/C][C]73.3504446252241[/C][C]-0.550444625224074[/C][/ROW]
[ROW][C]38[/C][C]69[/C][C]71.20193036276[/C][C]-2.20193036276[/C][/ROW]
[ROW][C]39[/C][C]83[/C][C]82.7724126637674[/C][C]0.227587336232617[/C][/ROW]
[ROW][C]40[/C][C]92.4[/C][C]84.3055754819914[/C][C]8.09442451800857[/C][/ROW]
[ROW][C]41[/C][C]92.3[/C][C]100.888880059981[/C][C]-8.58888005998121[/C][/ROW]
[ROW][C]42[/C][C]100.5[/C][C]92.58068794553[/C][C]7.91931205447003[/C][/ROW]
[ROW][C]43[/C][C]106.9[/C][C]93.0696323734888[/C][C]13.8303676265112[/C][/ROW]
[ROW][C]44[/C][C]99.5[/C][C]98.712212219142[/C][C]0.787787780857983[/C][/ROW]
[ROW][C]45[/C][C]85.9[/C][C]88.5187455824782[/C][C]-2.61874558247818[/C][/ROW]
[ROW][C]46[/C][C]92.6[/C][C]90.7214030520745[/C][C]1.87859694792552[/C][/ROW]
[ROW][C]47[/C][C]77.4[/C][C]83.8037393215444[/C][C]-6.40373932154435[/C][/ROW]
[ROW][C]48[/C][C]84.1[/C][C]81.7825889745057[/C][C]2.31741102549432[/C][/ROW]
[ROW][C]49[/C][C]75.3[/C][C]79.7299364738785[/C][C]-4.42993647387848[/C][/ROW]
[ROW][C]50[/C][C]73.8[/C][C]76.6632207623623[/C][C]-2.86322076236235[/C][/ROW]
[ROW][C]51[/C][C]100.1[/C][C]88.7554541335146[/C][C]11.3445458664854[/C][/ROW]
[ROW][C]52[/C][C]90.7[/C][C]93.7382427444785[/C][C]-3.03824274447851[/C][/ROW]
[ROW][C]53[/C][C]96.5[/C][C]104.710997610752[/C][C]-8.21099761075199[/C][/ROW]
[ROW][C]54[/C][C]111.8[/C][C]100.551184149496[/C][C]11.2488158505038[/C][/ROW]
[ROW][C]55[/C][C]97.4[/C][C]102.959941116576[/C][C]-5.55994111657597[/C][/ROW]
[ROW][C]56[/C][C]100.8[/C][C]102.779165266754[/C][C]-1.97916526675358[/C][/ROW]
[ROW][C]57[/C][C]93.7[/C][C]91.365842366006[/C][C]2.33415763399395[/C][/ROW]
[ROW][C]58[/C][C]82[/C][C]95.3409414777147[/C][C]-13.3409414777147[/C][/ROW]
[ROW][C]59[/C][C]86[/C][C]84.3253318275599[/C][C]1.67466817244012[/C][/ROW]
[ROW][C]60[/C][C]84.3[/C][C]85.5343731107151[/C][C]-1.23437311071508[/C][/ROW]
[ROW][C]61[/C][C]73.1[/C][C]81.324900494301[/C][C]-8.224900494301[/C][/ROW]
[ROW][C]62[/C][C]75.4[/C][C]78.1254629576752[/C][C]-2.72546295767523[/C][/ROW]
[ROW][C]63[/C][C]97.9[/C][C]93.7414725748281[/C][C]4.15852742517193[/C][/ROW]
[ROW][C]64[/C][C]97.5[/C][C]94.1821941058749[/C][C]3.31780589412507[/C][/ROW]
[ROW][C]65[/C][C]106[/C][C]104.706935019223[/C][C]1.29306498077727[/C][/ROW]
[ROW][C]66[/C][C]112.8[/C][C]106.629003500999[/C][C]6.17099649900148[/C][/ROW]
[ROW][C]67[/C][C]99.5[/C][C]104.184754043218[/C][C]-4.68475404321765[/C][/ROW]
[ROW][C]68[/C][C]100.8[/C][C]104.997193930826[/C][C]-4.1971939308261[/C][/ROW]
[ROW][C]69[/C][C]102.9[/C][C]94.3439398864004[/C][C]8.5560601135996[/C][/ROW]
[ROW][C]70[/C][C]88.8[/C][C]95.2589024416796[/C][C]-6.45890244167956[/C][/ROW]
[ROW][C]71[/C][C]91.3[/C][C]88.879656052503[/C][C]2.42034394749703[/C][/ROW]
[ROW][C]72[/C][C]88.3[/C][C]89.4662828303321[/C][C]-1.16628283033208[/C][/ROW]
[ROW][C]73[/C][C]77.4[/C][C]83.532929380021[/C][C]-6.13292938002104[/C][/ROW]
[ROW][C]74[/C][C]80.5[/C][C]81.9754887942201[/C][C]-1.47548879422008[/C][/ROW]
[ROW][C]75[/C][C]96.7[/C][C]99.4651117231489[/C][C]-2.76511172314892[/C][/ROW]
[ROW][C]76[/C][C]93.8[/C][C]98.7693879602229[/C][C]-4.96938796022289[/C][/ROW]
[ROW][C]77[/C][C]105[/C][C]107.675726351842[/C][C]-2.67572635184206[/C][/ROW]
[ROW][C]78[/C][C]117.1[/C][C]110.262523758317[/C][C]6.83747624168333[/C][/ROW]
[ROW][C]79[/C][C]111.1[/C][C]105.204552694145[/C][C]5.89544730585493[/C][/ROW]
[ROW][C]80[/C][C]105.8[/C][C]107.544929255476[/C][C]-1.74492925547632[/C][/ROW]
[ROW][C]81[/C][C]95.7[/C][C]100.375312759399[/C][C]-4.67531275939906[/C][/ROW]
[ROW][C]82[/C][C]97.1[/C][C]95.7911797472369[/C][C]1.3088202527631[/C][/ROW]
[ROW][C]83[/C][C]91[/C][C]92.6409166000752[/C][C]-1.6409166000752[/C][/ROW]
[ROW][C]84[/C][C]90.9[/C][C]91.7863998908983[/C][C]-0.886399890898332[/C][/ROW]
[ROW][C]85[/C][C]83.5[/C][C]84.6496512836666[/C][C]-1.1496512836666[/C][/ROW]
[ROW][C]86[/C][C]82.3[/C][C]84.9046867394274[/C][C]-2.60468673942741[/C][/ROW]
[ROW][C]87[/C][C]101.7[/C][C]101.916840773703[/C][C]-0.216840773703481[/C][/ROW]
[ROW][C]88[/C][C]108.3[/C][C]101.009925190742[/C][C]7.29007480925799[/C][/ROW]
[ROW][C]89[/C][C]114[/C][C]112.125276909121[/C][C]1.87472309087906[/C][/ROW]
[ROW][C]90[/C][C]118.2[/C][C]117.684326308314[/C][C]0.515673691685961[/C][/ROW]
[ROW][C]91[/C][C]103.4[/C][C]111.552440599483[/C][C]-8.152440599483[/C][/ROW]
[ROW][C]92[/C][C]106.8[/C][C]110.117104649272[/C][C]-3.31710464927193[/C][/ROW]
[ROW][C]93[/C][C]95.4[/C][C]102.002363371744[/C][C]-6.60236337174443[/C][/ROW]
[ROW][C]94[/C][C]101.8[/C][C]98.6325449538069[/C][C]3.16745504619308[/C][/ROW]
[ROW][C]95[/C][C]95.6[/C][C]94.9901996370432[/C][C]0.60980036295679[/C][/ROW]
[ROW][C]96[/C][C]94.8[/C][C]94.6153757625653[/C][C]0.184624237434676[/C][/ROW]
[ROW][C]97[/C][C]94[/C][C]87.5496064334416[/C][C]6.45039356655843[/C][/ROW]
[ROW][C]98[/C][C]82.4[/C][C]88.4578867729531[/C][C]-6.0578867729531[/C][/ROW]
[ROW][C]99[/C][C]95.8[/C][C]105.597272195947[/C][C]-9.79727219594693[/C][/ROW]
[ROW][C]100[/C][C]106.7[/C][C]105.260243649867[/C][C]1.43975635013291[/C][/ROW]
[ROW][C]101[/C][C]114.1[/C][C]114.237447105186[/C][C]-0.137447105186354[/C][/ROW]
[ROW][C]102[/C][C]103.9[/C][C]119.173837133968[/C][C]-15.273837133968[/C][/ROW]
[ROW][C]103[/C][C]117.4[/C][C]108.757175858072[/C][C]8.64282414192758[/C][/ROW]
[ROW][C]104[/C][C]105.9[/C][C]110.744622477455[/C][C]-4.84462247745519[/C][/ROW]
[ROW][C]105[/C][C]101.7[/C][C]101.594315755[/C][C]0.105684245000376[/C][/ROW]
[ROW][C]106[/C][C]98.7[/C][C]101.527551948065[/C][C]-2.82755194806518[/C][/ROW]
[ROW][C]107[/C][C]91.3[/C][C]96.4342081784213[/C][C]-5.13420817842126[/C][/ROW]
[ROW][C]108[/C][C]102.3[/C][C]95.1655384422573[/C][C]7.13446155774267[/C][/ROW]
[ROW][C]109[/C][C]80.5[/C][C]90.5632040969324[/C][C]-10.0632040969324[/C][/ROW]
[ROW][C]110[/C][C]86.7[/C][C]86.1393034359368[/C][C]0.560696564063178[/C][/ROW]
[ROW][C]111[/C][C]102.6[/C][C]103.211431964232[/C][C]-0.611431964231897[/C][/ROW]
[ROW][C]112[/C][C]107.3[/C][C]106.867202524605[/C][C]0.432797475394921[/C][/ROW]
[ROW][C]113[/C][C]108[/C][C]115.301608155975[/C][C]-7.30160815597482[/C][/ROW]
[ROW][C]114[/C][C]124.3[/C][C]115.508721170621[/C][C]8.79127882937937[/C][/ROW]
[ROW][C]115[/C][C]117.1[/C][C]114.224554024481[/C][C]2.87544597551904[/C][/ROW]
[ROW][C]116[/C][C]103.9[/C][C]112.092333235599[/C][C]-8.19233323559946[/C][/ROW]
[ROW][C]117[/C][C]104.7[/C][C]103.710106867917[/C][C]0.989893132083466[/C][/ROW]
[ROW][C]118[/C][C]95.9[/C][C]103.023992682349[/C][C]-7.12399268234894[/C][/ROW]
[ROW][C]119[/C][C]94.2[/C][C]96.7716321342506[/C][C]-2.57163213425056[/C][/ROW]
[ROW][C]120[/C][C]102.7[/C][C]98.8721179948006[/C][C]3.82788200519937[/C][/ROW]
[ROW][C]121[/C][C]70.3[/C][C]89.5534008656199[/C][C]-19.2534008656199[/C][/ROW]
[ROW][C]122[/C][C]90.2[/C][C]86.5125831129444[/C][C]3.68741688705565[/C][/ROW]
[ROW][C]123[/C][C]107.3[/C][C]103.692005434408[/C][C]3.60799456559165[/C][/ROW]
[ROW][C]124[/C][C]104.6[/C][C]108.153345962508[/C][C]-3.5533459625081[/C][/ROW]
[ROW][C]125[/C][C]102.7[/C][C]114.120274928931[/C][C]-11.4202749289315[/C][/ROW]
[ROW][C]126[/C][C]124.5[/C][C]117.741537446505[/C][C]6.75846255349543[/C][/ROW]
[ROW][C]127[/C][C]117.8[/C][C]114.696157108843[/C][C]3.10384289115663[/C][/ROW]
[ROW][C]128[/C][C]104.2[/C][C]109.82843129607[/C][C]-5.62843129606978[/C][/ROW]
[ROW][C]129[/C][C]99.9[/C][C]104.040906056944[/C][C]-4.14090605694363[/C][/ROW]
[ROW][C]130[/C][C]91.5[/C][C]100.633715003901[/C][C]-9.13371500390112[/C][/ROW]
[ROW][C]131[/C][C]95.7[/C][C]95.2129656471065[/C][C]0.48703435289346[/C][/ROW]
[ROW][C]132[/C][C]91.4[/C][C]99.2815579748984[/C][C]-7.88155797489844[/C][/ROW]
[ROW][C]133[/C][C]86.2[/C][C]82.6473787354563[/C][C]3.55262126454373[/C][/ROW]
[ROW][C]134[/C][C]91.5[/C][C]88.3168575782964[/C][C]3.18314242170364[/C][/ROW]
[ROW][C]135[/C][C]115.5[/C][C]105.392374900311[/C][C]10.107625099689[/C][/ROW]
[ROW][C]136[/C][C]113.9[/C][C]108.935436854082[/C][C]4.96456314591842[/C][/ROW]
[ROW][C]137[/C][C]131.9[/C][C]114.085508719696[/C][C]17.8144912803041[/C][/ROW]
[ROW][C]138[/C][C]121.2[/C][C]126.130544746355[/C][C]-4.93054474635461[/C][/ROW]
[ROW][C]139[/C][C]105.2[/C][C]120.628992906194[/C][C]-15.4289929061942[/C][/ROW]
[ROW][C]140[/C][C]107.5[/C][C]111.118930541092[/C][C]-3.61893054109177[/C][/ROW]
[ROW][C]141[/C][C]113.8[/C][C]105.96406218638[/C][C]7.83593781362028[/C][/ROW]
[ROW][C]142[/C][C]100.5[/C][C]102.924097581153[/C][C]-2.42409758115335[/C][/ROW]
[ROW][C]143[/C][C]104.8[/C][C]100.793125708485[/C][C]4.00687429151526[/C][/ROW]
[ROW][C]144[/C][C]103.8[/C][C]103.272186506135[/C][C]0.527813493864628[/C][/ROW]
[ROW][C]145[/C][C]93.1[/C][C]90.6134602149641[/C][C]2.4865397850359[/C][/ROW]
[ROW][C]146[/C][C]106.2[/C][C]96.0688326424712[/C][C]10.1311673575288[/C][/ROW]
[ROW][C]147[/C][C]117.5[/C][C]115.812325451307[/C][C]1.68767454869317[/C][/ROW]
[ROW][C]148[/C][C]109.9[/C][C]116.976079328023[/C][C]-7.076079328023[/C][/ROW]
[ROW][C]149[/C][C]123.6[/C][C]123.711251930909[/C][C]-0.111251930908765[/C][/ROW]
[ROW][C]150[/C][C]131.7[/C][C]127.723758371337[/C][C]3.97624162866258[/C][/ROW]
[ROW][C]151[/C][C]111[/C][C]120.811818024663[/C][C]-9.81181802466303[/C][/ROW]
[ROW][C]152[/C][C]122[/C][C]114.983216309725[/C][C]7.01678369027488[/C][/ROW]
[ROW][C]153[/C][C]110.9[/C][C]114.10016221343[/C][C]-3.20016221343042[/C][/ROW]
[ROW][C]154[/C][C]108[/C][C]107.051391537137[/C][C]0.948608462863092[/C][/ROW]
[ROW][C]155[/C][C]103.6[/C][C]106.972174760473[/C][C]-3.37217476047306[/C][/ROW]
[ROW][C]156[/C][C]107.3[/C][C]107.607116069923[/C][C]-0.307116069923467[/C][/ROW]
[ROW][C]157[/C][C]94.4[/C][C]95.324085410942[/C][C]-0.924085410942013[/C][/ROW]
[ROW][C]158[/C][C]85.2[/C][C]102.217190014332[/C][C]-17.0171900143324[/C][/ROW]
[ROW][C]159[/C][C]113.2[/C][C]116.223016895434[/C][C]-3.02301689543401[/C][/ROW]
[ROW][C]160[/C][C]111.7[/C][C]114.56061809021[/C][C]-2.8606180902099[/C][/ROW]
[ROW][C]161[/C][C]124.3[/C][C]123.560718680303[/C][C]0.739281319697326[/C][/ROW]
[ROW][C]162[/C][C]124[/C][C]128.676949251897[/C][C]-4.67694925189724[/C][/ROW]
[ROW][C]163[/C][C]133.4[/C][C]117.165141728842[/C][C]16.2348582711575[/C][/ROW]
[ROW][C]164[/C][C]112.6[/C][C]118.973330277872[/C][C]-6.37333027787213[/C][/ROW]
[ROW][C]165[/C][C]115.8[/C][C]113.75302278957[/C][C]2.0469772104299[/C][/ROW]
[ROW][C]166[/C][C]112.3[/C][C]108.417381080958[/C][C]3.88261891904219[/C][/ROW]
[ROW][C]167[/C][C]103.6[/C][C]107.646807288319[/C][C]-4.04680728831867[/C][/ROW]
[ROW][C]168[/C][C]111.4[/C][C]108.937883004362[/C][C]2.46211699563835[/C][/ROW]
[ROW][C]169[/C][C]95.1[/C][C]96.8607148939568[/C][C]-1.76071489395683[/C][/ROW]
[ROW][C]170[/C][C]93.4[/C][C]99.6439244529906[/C][C]-6.24392445299063[/C][/ROW]
[ROW][C]171[/C][C]117.3[/C][C]118.551403595771[/C][C]-1.25140359577138[/C][/ROW]
[ROW][C]172[/C][C]121.5[/C][C]117.16419793278[/C][C]4.33580206721984[/C][/ROW]
[ROW][C]173[/C][C]123.1[/C][C]128.020850294607[/C][C]-4.92085029460708[/C][/ROW]
[ROW][C]174[/C][C]139.3[/C][C]131.039665658503[/C][C]8.26033434149704[/C][/ROW]
[ROW][C]175[/C][C]125.8[/C][C]126.445057418723[/C][C]-0.645057418722971[/C][/ROW]
[ROW][C]176[/C][C]108.6[/C][C]120.396335183402[/C][C]-11.796335183402[/C][/ROW]
[ROW][C]177[/C][C]121[/C][C]116.530395003199[/C][C]4.46960499680054[/C][/ROW]
[ROW][C]178[/C][C]111.6[/C][C]111.966993778457[/C][C]-0.366993778457257[/C][/ROW]
[ROW][C]179[/C][C]99.7[/C][C]108.655683051443[/C][C]-8.95568305144272[/C][/ROW]
[ROW][C]180[/C][C]116.7[/C][C]110.890833464941[/C][C]5.80916653505908[/C][/ROW]
[ROW][C]181[/C][C]90.3[/C][C]98.2037764544545[/C][C]-7.90377645445447[/C][/ROW]
[ROW][C]182[/C][C]90.4[/C][C]99.0410641964741[/C][C]-8.6410641964741[/C][/ROW]
[ROW][C]183[/C][C]117.3[/C][C]118.848021492709[/C][C]-1.5480214927088[/C][/ROW]
[ROW][C]184[/C][C]121.6[/C][C]118.787719523003[/C][C]2.81228047699727[/C][/ROW]
[ROW][C]185[/C][C]114.6[/C][C]127.129104008961[/C][C]-12.5291040089612[/C][/ROW]
[ROW][C]186[/C][C]133.3[/C][C]132.372860748226[/C][C]0.927139251773781[/C][/ROW]
[ROW][C]187[/C][C]127.4[/C][C]124.562608222257[/C][C]2.8373917777427[/C][/ROW]
[ROW][C]188[/C][C]115[/C][C]116.18818357045[/C][C]-1.18818357045026[/C][/ROW]
[ROW][C]189[/C][C]112.6[/C][C]117.74803303841[/C][C]-5.14803303840999[/C][/ROW]
[ROW][C]190[/C][C]108.3[/C][C]110.67563238673[/C][C]-2.37563238673047[/C][/ROW]
[ROW][C]191[/C][C]107.6[/C][C]104.939752941639[/C][C]2.66024705836051[/C][/ROW]
[ROW][C]192[/C][C]109[/C][C]112.363329397005[/C][C]-3.36332939700453[/C][/ROW]
[ROW][C]193[/C][C]89[/C][C]95.0281381390194[/C][C]-6.02813813901943[/C][/ROW]
[ROW][C]194[/C][C]102.5[/C][C]95.907732237933[/C][C]6.59226776206704[/C][/ROW]
[ROW][C]195[/C][C]124.5[/C][C]119.491787780004[/C][C]5.00821221999638[/C][/ROW]
[ROW][C]196[/C][C]124.2[/C][C]121.378797508075[/C][C]2.82120249192519[/C][/ROW]
[ROW][C]197[/C][C]130.8[/C][C]125.913060161575[/C][C]4.88693983842548[/C][/ROW]
[ROW][C]198[/C][C]138.7[/C][C]136.820826263956[/C][C]1.87917373604364[/C][/ROW]
[ROW][C]199[/C][C]127.6[/C][C]129.617750868861[/C][C]-2.01775086886107[/C][/ROW]
[ROW][C]200[/C][C]130.9[/C][C]119.601094328884[/C][C]11.2989056711164[/C][/ROW]
[ROW][C]201[/C][C]136.9[/C][C]121.859603113751[/C][C]15.0403968862486[/C][/ROW]
[ROW][C]202[/C][C]125.2[/C][C]118.197689953981[/C][C]7.00231004601879[/C][/ROW]
[ROW][C]203[/C][C]131.3[/C][C]114.997736756769[/C][C]16.3022632432313[/C][/ROW]
[ROW][C]204[/C][C]124.1[/C][C]122.797597961367[/C][C]1.3024020386332[/C][/ROW]
[ROW][C]205[/C][C]103.2[/C][C]105.476475631566[/C][C]-2.27647563156596[/C][/ROW]
[ROW][C]206[/C][C]118.1[/C][C]110.037691711399[/C][C]8.06230828860146[/C][/ROW]
[ROW][C]207[/C][C]136.5[/C][C]133.481230285424[/C][C]3.01876971457608[/C][/ROW]
[ROW][C]208[/C][C]117.8[/C][C]134.6150386788[/C][C]-16.8150386787999[/C][/ROW]
[ROW][C]209[/C][C]145.1[/C][C]137.078610029513[/C][C]8.02138997048672[/C][/ROW]
[ROW][C]210[/C][C]158.8[/C][C]147.700450947543[/C][C]11.0995490524565[/C][/ROW]
[ROW][C]211[/C][C]136.9[/C][C]140.810848430335[/C][C]-3.91084843033528[/C][/ROW]
[ROW][C]212[/C][C]132.7[/C][C]133.887127081587[/C][C]-1.18712708158697[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308456&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308456&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
1368.466.50008012820511.89991987179486
1465.262.76463412366762.43536587633241
1578.777.28594155114441.41405844885557
167776.25957682570050.74042317429948
1797.696.81890058009760.781099419902404
1888.187.83844750867680.261552491323243
1998.780.159696793489418.5403032065106
2093.494.1104116521063-0.710411652106259
216887.4662656040276-19.4662656040276
2287.981.14906682234736.7509331776527
2375.878.4863622988381-2.68636229883813
2466.373.449453703507-7.14945370350704
2568.472.0526266114642-3.65262661146423
2671.367.70655252753363.59344747246644
2777.482.1281469474628-4.72814694746279
2887.180.10893042613476.99106957386529
2988.5101.51138593759-13.0113859375902
3085.990.5491502853921-4.64915028539205
3192.786.72688870482775.97311129517229
3288.594.2051256665802-5.70512566658022
3380.282.2177358518614-2.01773585186142
3481.884.7076567354172-2.90765673541725
3570.478.3939481987152-7.9939481987152
3682.271.514711987211410.6852880127886
3772.873.3504446252241-0.550444625224074
386971.20193036276-2.20193036276
398382.77241266376740.227587336232617
4092.484.30557548199148.09442451800857
4192.3100.888880059981-8.58888005998121
42100.592.580687945537.91931205447003
43106.993.069632373488813.8303676265112
4499.598.7122122191420.787787780857983
4585.988.5187455824782-2.61874558247818
4692.690.72140305207451.87859694792552
4777.483.8037393215444-6.40373932154435
4884.181.78258897450572.31741102549432
4975.379.7299364738785-4.42993647387848
5073.876.6632207623623-2.86322076236235
51100.188.755454133514611.3445458664854
5290.793.7382427444785-3.03824274447851
5396.5104.710997610752-8.21099761075199
54111.8100.55118414949611.2488158505038
5597.4102.959941116576-5.55994111657597
56100.8102.779165266754-1.97916526675358
5793.791.3658423660062.33415763399395
588295.3409414777147-13.3409414777147
598684.32533182755991.67466817244012
6084.385.5343731107151-1.23437311071508
6173.181.324900494301-8.224900494301
6275.478.1254629576752-2.72546295767523
6397.993.74147257482814.15852742517193
6497.594.18219410587493.31780589412507
65106104.7069350192231.29306498077727
66112.8106.6290035009996.17099649900148
6799.5104.184754043218-4.68475404321765
68100.8104.997193930826-4.1971939308261
69102.994.34393988640048.5560601135996
7088.895.2589024416796-6.45890244167956
7191.388.8796560525032.42034394749703
7288.389.4662828303321-1.16628283033208
7377.483.532929380021-6.13292938002104
7480.581.9754887942201-1.47548879422008
7596.799.4651117231489-2.76511172314892
7693.898.7693879602229-4.96938796022289
77105107.675726351842-2.67572635184206
78117.1110.2625237583176.83747624168333
79111.1105.2045526941455.89544730585493
80105.8107.544929255476-1.74492925547632
8195.7100.375312759399-4.67531275939906
8297.195.79117974723691.3088202527631
839192.6409166000752-1.6409166000752
8490.991.7863998908983-0.886399890898332
8583.584.6496512836666-1.1496512836666
8682.384.9046867394274-2.60468673942741
87101.7101.916840773703-0.216840773703481
88108.3101.0099251907427.29007480925799
89114112.1252769091211.87472309087906
90118.2117.6843263083140.515673691685961
91103.4111.552440599483-8.152440599483
92106.8110.117104649272-3.31710464927193
9395.4102.002363371744-6.60236337174443
94101.898.63254495380693.16745504619308
9595.694.99019963704320.60980036295679
9694.894.61537576256530.184624237434676
979487.54960643344166.45039356655843
9882.488.4578867729531-6.0578867729531
9995.8105.597272195947-9.79727219594693
100106.7105.2602436498671.43975635013291
101114.1114.237447105186-0.137447105186354
102103.9119.173837133968-15.273837133968
103117.4108.7571758580728.64282414192758
104105.9110.744622477455-4.84462247745519
105101.7101.5943157550.105684245000376
10698.7101.527551948065-2.82755194806518
10791.396.4342081784213-5.13420817842126
108102.395.16553844225737.13446155774267
10980.590.5632040969324-10.0632040969324
11086.786.13930343593680.560696564063178
111102.6103.211431964232-0.611431964231897
112107.3106.8672025246050.432797475394921
113108115.301608155975-7.30160815597482
114124.3115.5087211706218.79127882937937
115117.1114.2245540244812.87544597551904
116103.9112.092333235599-8.19233323559946
117104.7103.7101068679170.989893132083466
11895.9103.023992682349-7.12399268234894
11994.296.7716321342506-2.57163213425056
120102.798.87211799480063.82788200519937
12170.389.5534008656199-19.2534008656199
12290.286.51258311294443.68741688705565
123107.3103.6920054344083.60799456559165
124104.6108.153345962508-3.5533459625081
125102.7114.120274928931-11.4202749289315
126124.5117.7415374465056.75846255349543
127117.8114.6961571088433.10384289115663
128104.2109.82843129607-5.62843129606978
12999.9104.040906056944-4.14090605694363
13091.5100.633715003901-9.13371500390112
13195.795.21296564710650.48703435289346
13291.499.2815579748984-7.88155797489844
13386.282.64737873545633.55262126454373
13491.588.31685757829643.18314242170364
135115.5105.39237490031110.107625099689
136113.9108.9354368540824.96456314591842
137131.9114.08550871969617.8144912803041
138121.2126.130544746355-4.93054474635461
139105.2120.628992906194-15.4289929061942
140107.5111.118930541092-3.61893054109177
141113.8105.964062186387.83593781362028
142100.5102.924097581153-2.42409758115335
143104.8100.7931257084854.00687429151526
144103.8103.2721865061350.527813493864628
14593.190.61346021496412.4865397850359
146106.296.068832642471210.1311673575288
147117.5115.8123254513071.68767454869317
148109.9116.976079328023-7.076079328023
149123.6123.711251930909-0.111251930908765
150131.7127.7237583713373.97624162866258
151111120.811818024663-9.81181802466303
152122114.9832163097257.01678369027488
153110.9114.10016221343-3.20016221343042
154108107.0513915371370.948608462863092
155103.6106.972174760473-3.37217476047306
156107.3107.607116069923-0.307116069923467
15794.495.324085410942-0.924085410942013
15885.2102.217190014332-17.0171900143324
159113.2116.223016895434-3.02301689543401
160111.7114.56061809021-2.8606180902099
161124.3123.5607186803030.739281319697326
162124128.676949251897-4.67694925189724
163133.4117.16514172884216.2348582711575
164112.6118.973330277872-6.37333027787213
165115.8113.753022789572.0469772104299
166112.3108.4173810809583.88261891904219
167103.6107.646807288319-4.04680728831867
168111.4108.9378830043622.46211699563835
16995.196.8607148939568-1.76071489395683
17093.499.6439244529906-6.24392445299063
171117.3118.551403595771-1.25140359577138
172121.5117.164197932784.33580206721984
173123.1128.020850294607-4.92085029460708
174139.3131.0396656585038.26033434149704
175125.8126.445057418723-0.645057418722971
176108.6120.396335183402-11.796335183402
177121116.5303950031994.46960499680054
178111.6111.966993778457-0.366993778457257
17999.7108.655683051443-8.95568305144272
180116.7110.8908334649415.80916653505908
18190.398.2037764544545-7.90377645445447
18290.499.0410641964741-8.6410641964741
183117.3118.848021492709-1.5480214927088
184121.6118.7877195230032.81228047699727
185114.6127.129104008961-12.5291040089612
186133.3132.3728607482260.927139251773781
187127.4124.5626082222572.8373917777427
188115116.18818357045-1.18818357045026
189112.6117.74803303841-5.14803303840999
190108.3110.67563238673-2.37563238673047
191107.6104.9397529416392.66024705836051
192109112.363329397005-3.36332939700453
1938995.0281381390194-6.02813813901943
194102.595.9077322379336.59226776206704
195124.5119.4917877800045.00821221999638
196124.2121.3787975080752.82120249192519
197130.8125.9130601615754.88693983842548
198138.7136.8208262639561.87917373604364
199127.6129.617750868861-2.01775086886107
200130.9119.60109432888411.2989056711164
201136.9121.85960311375115.0403968862486
202125.2118.1976899539817.00231004601879
203131.3114.99773675676916.3022632432313
204124.1122.7975979613671.3024020386332
205103.2105.476475631566-2.27647563156596
206118.1110.0376917113998.06230828860146
207136.5133.4812302854243.01876971457608
208117.8134.6150386788-16.8150386787999
209145.1137.0786100295138.02138997048672
210158.8147.70045094754311.0995490524565
211136.9140.810848430335-3.91084843033528
212132.7133.887127081587-1.18712708158697







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213135.442744619943122.356079322311148.529409917574
214127.806837511335114.602736218999141.010938803672
215125.995135031038112.67324178155139.317028280526
216127.909253346961114.469213308959141.349293384964
217109.5325593408595.9740188025447123.091099879156
218116.965443481231103.288049839111130.642837123352
219138.083718958002124.287120705731151.880317210272
220133.899048727662119.982895445182147.815202010141
221144.770713333264130.734655676081158.806770990447
222155.089342718848140.933032407509169.245653030187
223142.995791060768128.718880870518157.272701251019
224137.267810478049122.869954228667151.665666727431

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 135.442744619943 & 122.356079322311 & 148.529409917574 \tabularnewline
214 & 127.806837511335 & 114.602736218999 & 141.010938803672 \tabularnewline
215 & 125.995135031038 & 112.67324178155 & 139.317028280526 \tabularnewline
216 & 127.909253346961 & 114.469213308959 & 141.349293384964 \tabularnewline
217 & 109.53255934085 & 95.9740188025447 & 123.091099879156 \tabularnewline
218 & 116.965443481231 & 103.288049839111 & 130.642837123352 \tabularnewline
219 & 138.083718958002 & 124.287120705731 & 151.880317210272 \tabularnewline
220 & 133.899048727662 & 119.982895445182 & 147.815202010141 \tabularnewline
221 & 144.770713333264 & 130.734655676081 & 158.806770990447 \tabularnewline
222 & 155.089342718848 & 140.933032407509 & 169.245653030187 \tabularnewline
223 & 142.995791060768 & 128.718880870518 & 157.272701251019 \tabularnewline
224 & 137.267810478049 & 122.869954228667 & 151.665666727431 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308456&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]135.442744619943[/C][C]122.356079322311[/C][C]148.529409917574[/C][/ROW]
[ROW][C]214[/C][C]127.806837511335[/C][C]114.602736218999[/C][C]141.010938803672[/C][/ROW]
[ROW][C]215[/C][C]125.995135031038[/C][C]112.67324178155[/C][C]139.317028280526[/C][/ROW]
[ROW][C]216[/C][C]127.909253346961[/C][C]114.469213308959[/C][C]141.349293384964[/C][/ROW]
[ROW][C]217[/C][C]109.53255934085[/C][C]95.9740188025447[/C][C]123.091099879156[/C][/ROW]
[ROW][C]218[/C][C]116.965443481231[/C][C]103.288049839111[/C][C]130.642837123352[/C][/ROW]
[ROW][C]219[/C][C]138.083718958002[/C][C]124.287120705731[/C][C]151.880317210272[/C][/ROW]
[ROW][C]220[/C][C]133.899048727662[/C][C]119.982895445182[/C][C]147.815202010141[/C][/ROW]
[ROW][C]221[/C][C]144.770713333264[/C][C]130.734655676081[/C][C]158.806770990447[/C][/ROW]
[ROW][C]222[/C][C]155.089342718848[/C][C]140.933032407509[/C][C]169.245653030187[/C][/ROW]
[ROW][C]223[/C][C]142.995791060768[/C][C]128.718880870518[/C][C]157.272701251019[/C][/ROW]
[ROW][C]224[/C][C]137.267810478049[/C][C]122.869954228667[/C][C]151.665666727431[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308456&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308456&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
213135.442744619943122.356079322311148.529409917574
214127.806837511335114.602736218999141.010938803672
215125.995135031038112.67324178155139.317028280526
216127.909253346961114.469213308959141.349293384964
217109.5325593408595.9740188025447123.091099879156
218116.965443481231103.288049839111130.642837123352
219138.083718958002124.287120705731151.880317210272
220133.899048727662119.982895445182147.815202010141
221144.770713333264130.734655676081158.806770990447
222155.089342718848140.933032407509169.245653030187
223142.995791060768128.718880870518157.272701251019
224137.267810478049122.869954228667151.665666727431



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')