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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 computationWed, 24 Jan 2018 09:44:58 +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/Jan/24/t15167835194bi9qbafek7o35r.htm/, Retrieved Mon, 06 May 2024 04:19:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=311835, Retrieved Mon, 06 May 2024 04:19:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact30
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-01-24 08:44:58] [ca8d18f187365d46258cefbf7e3ea6e7] [Current]
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Dataseries X:
63.2
68.6
77.7
68.1
75.1
73.3
60.5
65.9
77.7
77.1
77.7
71.3
76
75.3
81.7
72.5
77.4
81.1
65.1
68.7
75.6
79.7
75.3
67.7
73.2
72.2
79.3
77.5
75.6
77.4
69.2
67.1
77.9
82.7
75.7
70.1
76.4
74.3
80.5
78
73.5
78.8
71.2
66.2
82.7
83.8
75
80.4
74.6
77.7
89.8
82.4
77
89.6
75.7
75.1
89.9
88.8
86.5
90
84
82.7
91.7
87.5
82
92.2
73.1
75.6
91.6
87.5
90.1
91.3
87.6
88.4
100.7
85.3
92
96.8
77.9
80.9
95.3
99.3
96.1
92.5
93.7
92.1
103.6
92.5
95.7
103.4
89
89.1
98.7
109.4
101.1
95.4
101.4
102.1
103.6
106
98.4
106.6
95.8
87.2
108.5
107
92
94.9
84.4
85
94
84.5
88.2
92.1
81.1
81.2
96.1
95.3
92.1
91.7
90.3
96.1
108.7
95.9
95.1
109.4
91.2
91.4
107.4
105.6
105.3
103.7
99.5
103.2
123.1
102.2
110
106.2
91.3
99.3
111.8
104.4
102.4
101
100.6
104.5
117.4
97.4
99.5
106.4
95.2
94
104.1
105.8
101.1
93.5
97.9
96.8
108.4
103.5
101.3
107.4
100.7
91.1
105
112.8
105.6
101
101.9
103.5
109.5
105
102.9
108.5
96.9
88.4
112.4
111.3
101.6
101.2
101.8
98.8
114.4
104.5
97.6
109.1
94.5
90.4
111.8
110.5
106.8
101.8
103.7
107.4
117.5
109.6
102.8
115.5
97.8
100.2
112.9
108.7
109
113.9
106.9
109.6
124.5
104.2
110.8
118.7
102.1
105.1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311835&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=311835&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311835&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 time4 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.342948541117866
beta0
gamma0.289315778192675

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.342948541117866 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.289315778192675 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311835&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]0.342948541117866[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.289315778192675[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311835&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311835&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
alpha0.342948541117866
beta0
gamma0.289315778192675







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
137673.41298193540582.58701806459425
1475.373.59001255032361.70998744967639
1581.780.74981715269830.95018284730169
1672.572.19228484955290.307715150447123
1777.477.4598158495794-0.0598158495794081
1881.181.7110993499235-0.611099349923464
1965.163.51965663566941.58034336433055
2068.769.2495476352525-0.549547635252523
2175.681.2236413828328-5.62364138283276
2279.778.59721406684451.10278593315552
2375.379.5791986012519-4.27919860125193
2467.771.5361222971439-3.83612229714393
2573.275.1060371211128-1.90603712111279
2672.273.5781472081385-1.37814720813847
2779.379.418905059718-0.11890505971796
2877.570.58683275657636.91316724342374
2975.678.0897857240387-2.48978572403868
3077.481.3930263987776-3.99302639877754
3169.262.75364218306496.44635781693506
3267.169.7895843586161-2.68958435861614
3377.980.0250804128472-2.12508041284718
3482.779.8801039361682.81989606383198
3575.780.3974416451032-4.69744164510318
3670.172.1512022317963-2.05120223179628
3776.476.8368479289754-0.436847928975368
3874.375.8745773854692-1.57457738546924
3980.582.1011362084574-1.60113620845742
407873.83976652191754.16023347808253
4173.578.6468538461779-5.14685384617795
4278.880.7456375686484-1.94563756864837
4371.264.59137475258916.60862524741091
4466.269.9680170653597-3.7680170653597
4582.779.98861463019982.71138536980015
4683.882.46737601534931.33262398465068
477580.9860822264772-5.98608222647724
4880.472.71172399695687.68827600304324
4974.681.3712059630236-6.77120596302362
5077.777.9764458481929-0.276445848192864
5189.884.88614659607524.91385340392483
5282.479.48678002247382.91321997752617
537782.1507729014785-5.15077290147853
5489.685.10014783792544.49985216207459
5575.771.50920614410684.19079385589325
5675.174.13299433700680.967005662993202
5789.988.17575630752251.72424369247749
5888.890.1418700461386-1.34187004613861
5986.586.03795589501560.4620441049844
609082.09788892192657.9021110780735
618488.3524532331538-4.35245323315375
6282.787.0084589918949-4.30845899189487
6391.794.2628752894886-2.56287528948864
6487.585.391705556432.10829444357005
658286.214873469498-4.21487346949796
6692.291.72592612629570.474073873704342
6773.175.904626834376-2.80462683437599
6875.675.52102302779030.078976972209702
6991.689.56445545573392.03554454426609
7087.591.059701740932-3.55970174093201
7190.186.52142784246273.57857215753731
7291.384.96552721173436.33447278826574
7387.688.347613073879-0.747613073879052
7488.488.23099342639810.169006573601891
75100.797.71801167928942.98198832071058
7685.391.1684773182558-5.86847731825584
779287.99798325014194.0020167498581
7896.897.7039643590493-0.903964359049311
7977.979.7874969571316-1.88749695713155
8080.980.32256137898090.577438621019155
8195.395.830527327578-0.530527327578
8299.395.34173441050323.95826558949675
8396.194.53876808526731.56123191473269
8492.592.5922406530888-0.0922406530887514
8593.792.40403101748971.29596898251033
8692.193.1647557136789-1.06475571367891
87103.6103.2470959334740.352904066525625
8892.593.6976670344256-1.19766703442559
8995.794.01939074369561.68060925630439
90103.4102.347957829551.05204217045025
918983.89443403476885.10556596523116
9289.187.418439575811.68156042418997
9398.7104.446796774844-5.74679677484413
94109.4103.0295092172366.37049078276441
95101.1102.365383951175-1.26538395117542
9695.498.9239339296888-3.52393392968884
97101.497.8121764335043.587823566496
98102.198.88340275844373.21659724155629
99103.6111.534463261115-7.93446326111483
10010698.31473560174137.68526439825868
10198.4102.312976793379-3.91297679337897
102106.6109.071003082789-2.471003082789
10395.889.21442679878886.58557320121119
10487.292.6419747544386-5.44197475443855
105108.5106.2046782602472.29532173975259
106107109.964030092706-2.96403009270622
10792104.537433328298-12.5374333282979
10894.996.8457471293794-1.94574712937937
10984.497.6082602014026-13.2082602014026
1108592.8760167448194-7.87601674481942
1119498.6234231582442-4.62342315824421
11284.590.2209020321619-5.72090203216189
11388.287.56248342164480.637516578355189
11492.195.1488792697591-3.04887926975908
11581.179.01017824114372.08982175885632
11681.278.78210129246812.4178987075319
11796.194.63334700207081.4666529979292
11895.396.9120184092151-1.61201840921512
11992.190.76015332551321.33984667448676
12091.789.9505624735931.74943752640696
12190.389.77764233355040.522357666449565
12296.190.71973251553585.38026748446423
123108.7102.0011243152876.69887568471279
12495.996.6288622314392-0.728862231439152
12595.196.9159473030473-1.81594730304732
126109.4103.5614235294375.83857647056278
12791.289.59410604863131.60589395136874
12891.489.11597377356772.28402622643235
129107.4106.524891234090.875108765909843
130105.6108.120809208396-2.52080920839614
131105.3101.5970841691473.70291583085269
132103.7101.4910145895562.20898541044438
13399.5101.082812053653-1.58281205365333
134103.2102.3682295271570.831770472842933
135123.1113.2189349780059.8810650219947
136102.2106.547729869576-4.34772986957616
137110105.3898578352814.61014216471884
138106.2116.638777904786-10.4387779047862
13991.395.2635557224978-3.96355572249782
14099.392.95657916956446.3434208304356
141111.8112.342837719591-0.542837719590992
142104.4112.820189594778-8.42018959477755
143102.4105.306927220557-2.90692722055654
144101102.633102063139-1.63310206313891
145100.6100.1973374838320.402662516168235
146104.5102.6241672626811.8758327373189
147117.4115.5514585271731.84854147282711
14897.4103.662290254416-6.26229025441604
14999.5103.49219478129-3.99219478128956
150106.4108.52493454421-2.1249345442103
15195.291.71745720345553.48254279654455
1529493.89395853878920.106041461210793
153104.1109.44176169872-5.34176169871992
154105.8106.779971092101-0.979971092101437
155101.1102.928354767039-1.82835476703926
15693.5100.888853051062-7.3888530510623
15797.996.92487219982020.975127800179834
15896.899.7538685342158-2.95386853421577
159108.4110.453577984538-2.05357798453802
160103.596.49543382556147.00456617443862
161101.3101.266327521150.0336724788502067
162107.4108.02645653717-0.626456537170299
163100.792.73069284018237.96930715981769
16491.195.805883278842-4.70588327884201
165105108.686984847728-3.68698484772801
166112.8107.4190267558765.38097324412362
167105.6105.4735625077060.12643749229413
168101102.914280761427-1.91428076142725
169101.9102.411143169455-0.511143169455451
170103.5104.050033308119-0.550033308118913
171109.5116.412772371149-6.91277237114866
172105101.9708902366873.0291097633132
173102.9104.074629525596-1.17462952559609
174108.5110.443910591958-1.94391059195767
17596.996.02091465393850.879085346061544
17688.494.2554713961649-5.85547139616487
177112.4106.7657447630695.63425523693101
178111.3110.4271678357070.872832164293371
179101.6105.916596821532-4.31659682153187
180101.2101.4774458516-0.277445851600461
181101.8101.801459583266-0.00145958326618256
18298.8103.602488561027-4.80248856102689
183114.4113.0788007058551.32119929414532
184104.5103.2702468943151.22975310568542
18597.6103.956912108662-6.3569121086622
186109.1108.2981041710.80189582900033
18794.595.4556817572304-0.95568175723038
18890.491.8075940375615-1.40759403756149
189111.8108.0426558566733.75734414332724
190110.5110.1526937924550.347306207544804
191106.8104.497816019742.30218398026012
192101.8103.056674829439-1.25667482943891
193103.7103.0999301875390.600069812461314
194107.4104.1887875891373.21121241086323
195117.5118.080268516156-0.580268516156451
196109.6107.2211538338212.37884616617872
197102.8106.775553788888-3.97555378888765
198115.5113.6595358454391.84046415456102
19997.8100.137017859558-2.33701785955806
200100.295.75907500375324.44092499624681
201112.9116.162827715567-3.26282771556656
202108.7115.211689487027-6.51168948702747
203109107.4369011609741.56309883902586
204113.9104.9972540222358.90274597776462
205106.9108.908295407374-2.00829540737357
206109.6109.643732382542-0.0437323825424869
207124.5122.1122928703122.38770712968804
208104.2112.375515780852-8.17551578085225
209110.8107.0651848377983.73481516220158
210118.7118.0164980820230.683501917977253
211102.1102.820688141429-0.720688141428923
212105.1100.1774558073314.92254419266933

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 76 & 73.4129819354058 & 2.58701806459425 \tabularnewline
14 & 75.3 & 73.5900125503236 & 1.70998744967639 \tabularnewline
15 & 81.7 & 80.7498171526983 & 0.95018284730169 \tabularnewline
16 & 72.5 & 72.1922848495529 & 0.307715150447123 \tabularnewline
17 & 77.4 & 77.4598158495794 & -0.0598158495794081 \tabularnewline
18 & 81.1 & 81.7110993499235 & -0.611099349923464 \tabularnewline
19 & 65.1 & 63.5196566356694 & 1.58034336433055 \tabularnewline
20 & 68.7 & 69.2495476352525 & -0.549547635252523 \tabularnewline
21 & 75.6 & 81.2236413828328 & -5.62364138283276 \tabularnewline
22 & 79.7 & 78.5972140668445 & 1.10278593315552 \tabularnewline
23 & 75.3 & 79.5791986012519 & -4.27919860125193 \tabularnewline
24 & 67.7 & 71.5361222971439 & -3.83612229714393 \tabularnewline
25 & 73.2 & 75.1060371211128 & -1.90603712111279 \tabularnewline
26 & 72.2 & 73.5781472081385 & -1.37814720813847 \tabularnewline
27 & 79.3 & 79.418905059718 & -0.11890505971796 \tabularnewline
28 & 77.5 & 70.5868327565763 & 6.91316724342374 \tabularnewline
29 & 75.6 & 78.0897857240387 & -2.48978572403868 \tabularnewline
30 & 77.4 & 81.3930263987776 & -3.99302639877754 \tabularnewline
31 & 69.2 & 62.7536421830649 & 6.44635781693506 \tabularnewline
32 & 67.1 & 69.7895843586161 & -2.68958435861614 \tabularnewline
33 & 77.9 & 80.0250804128472 & -2.12508041284718 \tabularnewline
34 & 82.7 & 79.880103936168 & 2.81989606383198 \tabularnewline
35 & 75.7 & 80.3974416451032 & -4.69744164510318 \tabularnewline
36 & 70.1 & 72.1512022317963 & -2.05120223179628 \tabularnewline
37 & 76.4 & 76.8368479289754 & -0.436847928975368 \tabularnewline
38 & 74.3 & 75.8745773854692 & -1.57457738546924 \tabularnewline
39 & 80.5 & 82.1011362084574 & -1.60113620845742 \tabularnewline
40 & 78 & 73.8397665219175 & 4.16023347808253 \tabularnewline
41 & 73.5 & 78.6468538461779 & -5.14685384617795 \tabularnewline
42 & 78.8 & 80.7456375686484 & -1.94563756864837 \tabularnewline
43 & 71.2 & 64.5913747525891 & 6.60862524741091 \tabularnewline
44 & 66.2 & 69.9680170653597 & -3.7680170653597 \tabularnewline
45 & 82.7 & 79.9886146301998 & 2.71138536980015 \tabularnewline
46 & 83.8 & 82.4673760153493 & 1.33262398465068 \tabularnewline
47 & 75 & 80.9860822264772 & -5.98608222647724 \tabularnewline
48 & 80.4 & 72.7117239969568 & 7.68827600304324 \tabularnewline
49 & 74.6 & 81.3712059630236 & -6.77120596302362 \tabularnewline
50 & 77.7 & 77.9764458481929 & -0.276445848192864 \tabularnewline
51 & 89.8 & 84.8861465960752 & 4.91385340392483 \tabularnewline
52 & 82.4 & 79.4867800224738 & 2.91321997752617 \tabularnewline
53 & 77 & 82.1507729014785 & -5.15077290147853 \tabularnewline
54 & 89.6 & 85.1001478379254 & 4.49985216207459 \tabularnewline
55 & 75.7 & 71.5092061441068 & 4.19079385589325 \tabularnewline
56 & 75.1 & 74.1329943370068 & 0.967005662993202 \tabularnewline
57 & 89.9 & 88.1757563075225 & 1.72424369247749 \tabularnewline
58 & 88.8 & 90.1418700461386 & -1.34187004613861 \tabularnewline
59 & 86.5 & 86.0379558950156 & 0.4620441049844 \tabularnewline
60 & 90 & 82.0978889219265 & 7.9021110780735 \tabularnewline
61 & 84 & 88.3524532331538 & -4.35245323315375 \tabularnewline
62 & 82.7 & 87.0084589918949 & -4.30845899189487 \tabularnewline
63 & 91.7 & 94.2628752894886 & -2.56287528948864 \tabularnewline
64 & 87.5 & 85.39170555643 & 2.10829444357005 \tabularnewline
65 & 82 & 86.214873469498 & -4.21487346949796 \tabularnewline
66 & 92.2 & 91.7259261262957 & 0.474073873704342 \tabularnewline
67 & 73.1 & 75.904626834376 & -2.80462683437599 \tabularnewline
68 & 75.6 & 75.5210230277903 & 0.078976972209702 \tabularnewline
69 & 91.6 & 89.5644554557339 & 2.03554454426609 \tabularnewline
70 & 87.5 & 91.059701740932 & -3.55970174093201 \tabularnewline
71 & 90.1 & 86.5214278424627 & 3.57857215753731 \tabularnewline
72 & 91.3 & 84.9655272117343 & 6.33447278826574 \tabularnewline
73 & 87.6 & 88.347613073879 & -0.747613073879052 \tabularnewline
74 & 88.4 & 88.2309934263981 & 0.169006573601891 \tabularnewline
75 & 100.7 & 97.7180116792894 & 2.98198832071058 \tabularnewline
76 & 85.3 & 91.1684773182558 & -5.86847731825584 \tabularnewline
77 & 92 & 87.9979832501419 & 4.0020167498581 \tabularnewline
78 & 96.8 & 97.7039643590493 & -0.903964359049311 \tabularnewline
79 & 77.9 & 79.7874969571316 & -1.88749695713155 \tabularnewline
80 & 80.9 & 80.3225613789809 & 0.577438621019155 \tabularnewline
81 & 95.3 & 95.830527327578 & -0.530527327578 \tabularnewline
82 & 99.3 & 95.3417344105032 & 3.95826558949675 \tabularnewline
83 & 96.1 & 94.5387680852673 & 1.56123191473269 \tabularnewline
84 & 92.5 & 92.5922406530888 & -0.0922406530887514 \tabularnewline
85 & 93.7 & 92.4040310174897 & 1.29596898251033 \tabularnewline
86 & 92.1 & 93.1647557136789 & -1.06475571367891 \tabularnewline
87 & 103.6 & 103.247095933474 & 0.352904066525625 \tabularnewline
88 & 92.5 & 93.6976670344256 & -1.19766703442559 \tabularnewline
89 & 95.7 & 94.0193907436956 & 1.68060925630439 \tabularnewline
90 & 103.4 & 102.34795782955 & 1.05204217045025 \tabularnewline
91 & 89 & 83.8944340347688 & 5.10556596523116 \tabularnewline
92 & 89.1 & 87.41843957581 & 1.68156042418997 \tabularnewline
93 & 98.7 & 104.446796774844 & -5.74679677484413 \tabularnewline
94 & 109.4 & 103.029509217236 & 6.37049078276441 \tabularnewline
95 & 101.1 & 102.365383951175 & -1.26538395117542 \tabularnewline
96 & 95.4 & 98.9239339296888 & -3.52393392968884 \tabularnewline
97 & 101.4 & 97.812176433504 & 3.587823566496 \tabularnewline
98 & 102.1 & 98.8834027584437 & 3.21659724155629 \tabularnewline
99 & 103.6 & 111.534463261115 & -7.93446326111483 \tabularnewline
100 & 106 & 98.3147356017413 & 7.68526439825868 \tabularnewline
101 & 98.4 & 102.312976793379 & -3.91297679337897 \tabularnewline
102 & 106.6 & 109.071003082789 & -2.471003082789 \tabularnewline
103 & 95.8 & 89.2144267987888 & 6.58557320121119 \tabularnewline
104 & 87.2 & 92.6419747544386 & -5.44197475443855 \tabularnewline
105 & 108.5 & 106.204678260247 & 2.29532173975259 \tabularnewline
106 & 107 & 109.964030092706 & -2.96403009270622 \tabularnewline
107 & 92 & 104.537433328298 & -12.5374333282979 \tabularnewline
108 & 94.9 & 96.8457471293794 & -1.94574712937937 \tabularnewline
109 & 84.4 & 97.6082602014026 & -13.2082602014026 \tabularnewline
110 & 85 & 92.8760167448194 & -7.87601674481942 \tabularnewline
111 & 94 & 98.6234231582442 & -4.62342315824421 \tabularnewline
112 & 84.5 & 90.2209020321619 & -5.72090203216189 \tabularnewline
113 & 88.2 & 87.5624834216448 & 0.637516578355189 \tabularnewline
114 & 92.1 & 95.1488792697591 & -3.04887926975908 \tabularnewline
115 & 81.1 & 79.0101782411437 & 2.08982175885632 \tabularnewline
116 & 81.2 & 78.7821012924681 & 2.4178987075319 \tabularnewline
117 & 96.1 & 94.6333470020708 & 1.4666529979292 \tabularnewline
118 & 95.3 & 96.9120184092151 & -1.61201840921512 \tabularnewline
119 & 92.1 & 90.7601533255132 & 1.33984667448676 \tabularnewline
120 & 91.7 & 89.950562473593 & 1.74943752640696 \tabularnewline
121 & 90.3 & 89.7776423335504 & 0.522357666449565 \tabularnewline
122 & 96.1 & 90.7197325155358 & 5.38026748446423 \tabularnewline
123 & 108.7 & 102.001124315287 & 6.69887568471279 \tabularnewline
124 & 95.9 & 96.6288622314392 & -0.728862231439152 \tabularnewline
125 & 95.1 & 96.9159473030473 & -1.81594730304732 \tabularnewline
126 & 109.4 & 103.561423529437 & 5.83857647056278 \tabularnewline
127 & 91.2 & 89.5941060486313 & 1.60589395136874 \tabularnewline
128 & 91.4 & 89.1159737735677 & 2.28402622643235 \tabularnewline
129 & 107.4 & 106.52489123409 & 0.875108765909843 \tabularnewline
130 & 105.6 & 108.120809208396 & -2.52080920839614 \tabularnewline
131 & 105.3 & 101.597084169147 & 3.70291583085269 \tabularnewline
132 & 103.7 & 101.491014589556 & 2.20898541044438 \tabularnewline
133 & 99.5 & 101.082812053653 & -1.58281205365333 \tabularnewline
134 & 103.2 & 102.368229527157 & 0.831770472842933 \tabularnewline
135 & 123.1 & 113.218934978005 & 9.8810650219947 \tabularnewline
136 & 102.2 & 106.547729869576 & -4.34772986957616 \tabularnewline
137 & 110 & 105.389857835281 & 4.61014216471884 \tabularnewline
138 & 106.2 & 116.638777904786 & -10.4387779047862 \tabularnewline
139 & 91.3 & 95.2635557224978 & -3.96355572249782 \tabularnewline
140 & 99.3 & 92.9565791695644 & 6.3434208304356 \tabularnewline
141 & 111.8 & 112.342837719591 & -0.542837719590992 \tabularnewline
142 & 104.4 & 112.820189594778 & -8.42018959477755 \tabularnewline
143 & 102.4 & 105.306927220557 & -2.90692722055654 \tabularnewline
144 & 101 & 102.633102063139 & -1.63310206313891 \tabularnewline
145 & 100.6 & 100.197337483832 & 0.402662516168235 \tabularnewline
146 & 104.5 & 102.624167262681 & 1.8758327373189 \tabularnewline
147 & 117.4 & 115.551458527173 & 1.84854147282711 \tabularnewline
148 & 97.4 & 103.662290254416 & -6.26229025441604 \tabularnewline
149 & 99.5 & 103.49219478129 & -3.99219478128956 \tabularnewline
150 & 106.4 & 108.52493454421 & -2.1249345442103 \tabularnewline
151 & 95.2 & 91.7174572034555 & 3.48254279654455 \tabularnewline
152 & 94 & 93.8939585387892 & 0.106041461210793 \tabularnewline
153 & 104.1 & 109.44176169872 & -5.34176169871992 \tabularnewline
154 & 105.8 & 106.779971092101 & -0.979971092101437 \tabularnewline
155 & 101.1 & 102.928354767039 & -1.82835476703926 \tabularnewline
156 & 93.5 & 100.888853051062 & -7.3888530510623 \tabularnewline
157 & 97.9 & 96.9248721998202 & 0.975127800179834 \tabularnewline
158 & 96.8 & 99.7538685342158 & -2.95386853421577 \tabularnewline
159 & 108.4 & 110.453577984538 & -2.05357798453802 \tabularnewline
160 & 103.5 & 96.4954338255614 & 7.00456617443862 \tabularnewline
161 & 101.3 & 101.26632752115 & 0.0336724788502067 \tabularnewline
162 & 107.4 & 108.02645653717 & -0.626456537170299 \tabularnewline
163 & 100.7 & 92.7306928401823 & 7.96930715981769 \tabularnewline
164 & 91.1 & 95.805883278842 & -4.70588327884201 \tabularnewline
165 & 105 & 108.686984847728 & -3.68698484772801 \tabularnewline
166 & 112.8 & 107.419026755876 & 5.38097324412362 \tabularnewline
167 & 105.6 & 105.473562507706 & 0.12643749229413 \tabularnewline
168 & 101 & 102.914280761427 & -1.91428076142725 \tabularnewline
169 & 101.9 & 102.411143169455 & -0.511143169455451 \tabularnewline
170 & 103.5 & 104.050033308119 & -0.550033308118913 \tabularnewline
171 & 109.5 & 116.412772371149 & -6.91277237114866 \tabularnewline
172 & 105 & 101.970890236687 & 3.0291097633132 \tabularnewline
173 & 102.9 & 104.074629525596 & -1.17462952559609 \tabularnewline
174 & 108.5 & 110.443910591958 & -1.94391059195767 \tabularnewline
175 & 96.9 & 96.0209146539385 & 0.879085346061544 \tabularnewline
176 & 88.4 & 94.2554713961649 & -5.85547139616487 \tabularnewline
177 & 112.4 & 106.765744763069 & 5.63425523693101 \tabularnewline
178 & 111.3 & 110.427167835707 & 0.872832164293371 \tabularnewline
179 & 101.6 & 105.916596821532 & -4.31659682153187 \tabularnewline
180 & 101.2 & 101.4774458516 & -0.277445851600461 \tabularnewline
181 & 101.8 & 101.801459583266 & -0.00145958326618256 \tabularnewline
182 & 98.8 & 103.602488561027 & -4.80248856102689 \tabularnewline
183 & 114.4 & 113.078800705855 & 1.32119929414532 \tabularnewline
184 & 104.5 & 103.270246894315 & 1.22975310568542 \tabularnewline
185 & 97.6 & 103.956912108662 & -6.3569121086622 \tabularnewline
186 & 109.1 & 108.298104171 & 0.80189582900033 \tabularnewline
187 & 94.5 & 95.4556817572304 & -0.95568175723038 \tabularnewline
188 & 90.4 & 91.8075940375615 & -1.40759403756149 \tabularnewline
189 & 111.8 & 108.042655856673 & 3.75734414332724 \tabularnewline
190 & 110.5 & 110.152693792455 & 0.347306207544804 \tabularnewline
191 & 106.8 & 104.49781601974 & 2.30218398026012 \tabularnewline
192 & 101.8 & 103.056674829439 & -1.25667482943891 \tabularnewline
193 & 103.7 & 103.099930187539 & 0.600069812461314 \tabularnewline
194 & 107.4 & 104.188787589137 & 3.21121241086323 \tabularnewline
195 & 117.5 & 118.080268516156 & -0.580268516156451 \tabularnewline
196 & 109.6 & 107.221153833821 & 2.37884616617872 \tabularnewline
197 & 102.8 & 106.775553788888 & -3.97555378888765 \tabularnewline
198 & 115.5 & 113.659535845439 & 1.84046415456102 \tabularnewline
199 & 97.8 & 100.137017859558 & -2.33701785955806 \tabularnewline
200 & 100.2 & 95.7590750037532 & 4.44092499624681 \tabularnewline
201 & 112.9 & 116.162827715567 & -3.26282771556656 \tabularnewline
202 & 108.7 & 115.211689487027 & -6.51168948702747 \tabularnewline
203 & 109 & 107.436901160974 & 1.56309883902586 \tabularnewline
204 & 113.9 & 104.997254022235 & 8.90274597776462 \tabularnewline
205 & 106.9 & 108.908295407374 & -2.00829540737357 \tabularnewline
206 & 109.6 & 109.643732382542 & -0.0437323825424869 \tabularnewline
207 & 124.5 & 122.112292870312 & 2.38770712968804 \tabularnewline
208 & 104.2 & 112.375515780852 & -8.17551578085225 \tabularnewline
209 & 110.8 & 107.065184837798 & 3.73481516220158 \tabularnewline
210 & 118.7 & 118.016498082023 & 0.683501917977253 \tabularnewline
211 & 102.1 & 102.820688141429 & -0.720688141428923 \tabularnewline
212 & 105.1 & 100.177455807331 & 4.92254419266933 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311835&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]76[/C][C]73.4129819354058[/C][C]2.58701806459425[/C][/ROW]
[ROW][C]14[/C][C]75.3[/C][C]73.5900125503236[/C][C]1.70998744967639[/C][/ROW]
[ROW][C]15[/C][C]81.7[/C][C]80.7498171526983[/C][C]0.95018284730169[/C][/ROW]
[ROW][C]16[/C][C]72.5[/C][C]72.1922848495529[/C][C]0.307715150447123[/C][/ROW]
[ROW][C]17[/C][C]77.4[/C][C]77.4598158495794[/C][C]-0.0598158495794081[/C][/ROW]
[ROW][C]18[/C][C]81.1[/C][C]81.7110993499235[/C][C]-0.611099349923464[/C][/ROW]
[ROW][C]19[/C][C]65.1[/C][C]63.5196566356694[/C][C]1.58034336433055[/C][/ROW]
[ROW][C]20[/C][C]68.7[/C][C]69.2495476352525[/C][C]-0.549547635252523[/C][/ROW]
[ROW][C]21[/C][C]75.6[/C][C]81.2236413828328[/C][C]-5.62364138283276[/C][/ROW]
[ROW][C]22[/C][C]79.7[/C][C]78.5972140668445[/C][C]1.10278593315552[/C][/ROW]
[ROW][C]23[/C][C]75.3[/C][C]79.5791986012519[/C][C]-4.27919860125193[/C][/ROW]
[ROW][C]24[/C][C]67.7[/C][C]71.5361222971439[/C][C]-3.83612229714393[/C][/ROW]
[ROW][C]25[/C][C]73.2[/C][C]75.1060371211128[/C][C]-1.90603712111279[/C][/ROW]
[ROW][C]26[/C][C]72.2[/C][C]73.5781472081385[/C][C]-1.37814720813847[/C][/ROW]
[ROW][C]27[/C][C]79.3[/C][C]79.418905059718[/C][C]-0.11890505971796[/C][/ROW]
[ROW][C]28[/C][C]77.5[/C][C]70.5868327565763[/C][C]6.91316724342374[/C][/ROW]
[ROW][C]29[/C][C]75.6[/C][C]78.0897857240387[/C][C]-2.48978572403868[/C][/ROW]
[ROW][C]30[/C][C]77.4[/C][C]81.3930263987776[/C][C]-3.99302639877754[/C][/ROW]
[ROW][C]31[/C][C]69.2[/C][C]62.7536421830649[/C][C]6.44635781693506[/C][/ROW]
[ROW][C]32[/C][C]67.1[/C][C]69.7895843586161[/C][C]-2.68958435861614[/C][/ROW]
[ROW][C]33[/C][C]77.9[/C][C]80.0250804128472[/C][C]-2.12508041284718[/C][/ROW]
[ROW][C]34[/C][C]82.7[/C][C]79.880103936168[/C][C]2.81989606383198[/C][/ROW]
[ROW][C]35[/C][C]75.7[/C][C]80.3974416451032[/C][C]-4.69744164510318[/C][/ROW]
[ROW][C]36[/C][C]70.1[/C][C]72.1512022317963[/C][C]-2.05120223179628[/C][/ROW]
[ROW][C]37[/C][C]76.4[/C][C]76.8368479289754[/C][C]-0.436847928975368[/C][/ROW]
[ROW][C]38[/C][C]74.3[/C][C]75.8745773854692[/C][C]-1.57457738546924[/C][/ROW]
[ROW][C]39[/C][C]80.5[/C][C]82.1011362084574[/C][C]-1.60113620845742[/C][/ROW]
[ROW][C]40[/C][C]78[/C][C]73.8397665219175[/C][C]4.16023347808253[/C][/ROW]
[ROW][C]41[/C][C]73.5[/C][C]78.6468538461779[/C][C]-5.14685384617795[/C][/ROW]
[ROW][C]42[/C][C]78.8[/C][C]80.7456375686484[/C][C]-1.94563756864837[/C][/ROW]
[ROW][C]43[/C][C]71.2[/C][C]64.5913747525891[/C][C]6.60862524741091[/C][/ROW]
[ROW][C]44[/C][C]66.2[/C][C]69.9680170653597[/C][C]-3.7680170653597[/C][/ROW]
[ROW][C]45[/C][C]82.7[/C][C]79.9886146301998[/C][C]2.71138536980015[/C][/ROW]
[ROW][C]46[/C][C]83.8[/C][C]82.4673760153493[/C][C]1.33262398465068[/C][/ROW]
[ROW][C]47[/C][C]75[/C][C]80.9860822264772[/C][C]-5.98608222647724[/C][/ROW]
[ROW][C]48[/C][C]80.4[/C][C]72.7117239969568[/C][C]7.68827600304324[/C][/ROW]
[ROW][C]49[/C][C]74.6[/C][C]81.3712059630236[/C][C]-6.77120596302362[/C][/ROW]
[ROW][C]50[/C][C]77.7[/C][C]77.9764458481929[/C][C]-0.276445848192864[/C][/ROW]
[ROW][C]51[/C][C]89.8[/C][C]84.8861465960752[/C][C]4.91385340392483[/C][/ROW]
[ROW][C]52[/C][C]82.4[/C][C]79.4867800224738[/C][C]2.91321997752617[/C][/ROW]
[ROW][C]53[/C][C]77[/C][C]82.1507729014785[/C][C]-5.15077290147853[/C][/ROW]
[ROW][C]54[/C][C]89.6[/C][C]85.1001478379254[/C][C]4.49985216207459[/C][/ROW]
[ROW][C]55[/C][C]75.7[/C][C]71.5092061441068[/C][C]4.19079385589325[/C][/ROW]
[ROW][C]56[/C][C]75.1[/C][C]74.1329943370068[/C][C]0.967005662993202[/C][/ROW]
[ROW][C]57[/C][C]89.9[/C][C]88.1757563075225[/C][C]1.72424369247749[/C][/ROW]
[ROW][C]58[/C][C]88.8[/C][C]90.1418700461386[/C][C]-1.34187004613861[/C][/ROW]
[ROW][C]59[/C][C]86.5[/C][C]86.0379558950156[/C][C]0.4620441049844[/C][/ROW]
[ROW][C]60[/C][C]90[/C][C]82.0978889219265[/C][C]7.9021110780735[/C][/ROW]
[ROW][C]61[/C][C]84[/C][C]88.3524532331538[/C][C]-4.35245323315375[/C][/ROW]
[ROW][C]62[/C][C]82.7[/C][C]87.0084589918949[/C][C]-4.30845899189487[/C][/ROW]
[ROW][C]63[/C][C]91.7[/C][C]94.2628752894886[/C][C]-2.56287528948864[/C][/ROW]
[ROW][C]64[/C][C]87.5[/C][C]85.39170555643[/C][C]2.10829444357005[/C][/ROW]
[ROW][C]65[/C][C]82[/C][C]86.214873469498[/C][C]-4.21487346949796[/C][/ROW]
[ROW][C]66[/C][C]92.2[/C][C]91.7259261262957[/C][C]0.474073873704342[/C][/ROW]
[ROW][C]67[/C][C]73.1[/C][C]75.904626834376[/C][C]-2.80462683437599[/C][/ROW]
[ROW][C]68[/C][C]75.6[/C][C]75.5210230277903[/C][C]0.078976972209702[/C][/ROW]
[ROW][C]69[/C][C]91.6[/C][C]89.5644554557339[/C][C]2.03554454426609[/C][/ROW]
[ROW][C]70[/C][C]87.5[/C][C]91.059701740932[/C][C]-3.55970174093201[/C][/ROW]
[ROW][C]71[/C][C]90.1[/C][C]86.5214278424627[/C][C]3.57857215753731[/C][/ROW]
[ROW][C]72[/C][C]91.3[/C][C]84.9655272117343[/C][C]6.33447278826574[/C][/ROW]
[ROW][C]73[/C][C]87.6[/C][C]88.347613073879[/C][C]-0.747613073879052[/C][/ROW]
[ROW][C]74[/C][C]88.4[/C][C]88.2309934263981[/C][C]0.169006573601891[/C][/ROW]
[ROW][C]75[/C][C]100.7[/C][C]97.7180116792894[/C][C]2.98198832071058[/C][/ROW]
[ROW][C]76[/C][C]85.3[/C][C]91.1684773182558[/C][C]-5.86847731825584[/C][/ROW]
[ROW][C]77[/C][C]92[/C][C]87.9979832501419[/C][C]4.0020167498581[/C][/ROW]
[ROW][C]78[/C][C]96.8[/C][C]97.7039643590493[/C][C]-0.903964359049311[/C][/ROW]
[ROW][C]79[/C][C]77.9[/C][C]79.7874969571316[/C][C]-1.88749695713155[/C][/ROW]
[ROW][C]80[/C][C]80.9[/C][C]80.3225613789809[/C][C]0.577438621019155[/C][/ROW]
[ROW][C]81[/C][C]95.3[/C][C]95.830527327578[/C][C]-0.530527327578[/C][/ROW]
[ROW][C]82[/C][C]99.3[/C][C]95.3417344105032[/C][C]3.95826558949675[/C][/ROW]
[ROW][C]83[/C][C]96.1[/C][C]94.5387680852673[/C][C]1.56123191473269[/C][/ROW]
[ROW][C]84[/C][C]92.5[/C][C]92.5922406530888[/C][C]-0.0922406530887514[/C][/ROW]
[ROW][C]85[/C][C]93.7[/C][C]92.4040310174897[/C][C]1.29596898251033[/C][/ROW]
[ROW][C]86[/C][C]92.1[/C][C]93.1647557136789[/C][C]-1.06475571367891[/C][/ROW]
[ROW][C]87[/C][C]103.6[/C][C]103.247095933474[/C][C]0.352904066525625[/C][/ROW]
[ROW][C]88[/C][C]92.5[/C][C]93.6976670344256[/C][C]-1.19766703442559[/C][/ROW]
[ROW][C]89[/C][C]95.7[/C][C]94.0193907436956[/C][C]1.68060925630439[/C][/ROW]
[ROW][C]90[/C][C]103.4[/C][C]102.34795782955[/C][C]1.05204217045025[/C][/ROW]
[ROW][C]91[/C][C]89[/C][C]83.8944340347688[/C][C]5.10556596523116[/C][/ROW]
[ROW][C]92[/C][C]89.1[/C][C]87.41843957581[/C][C]1.68156042418997[/C][/ROW]
[ROW][C]93[/C][C]98.7[/C][C]104.446796774844[/C][C]-5.74679677484413[/C][/ROW]
[ROW][C]94[/C][C]109.4[/C][C]103.029509217236[/C][C]6.37049078276441[/C][/ROW]
[ROW][C]95[/C][C]101.1[/C][C]102.365383951175[/C][C]-1.26538395117542[/C][/ROW]
[ROW][C]96[/C][C]95.4[/C][C]98.9239339296888[/C][C]-3.52393392968884[/C][/ROW]
[ROW][C]97[/C][C]101.4[/C][C]97.812176433504[/C][C]3.587823566496[/C][/ROW]
[ROW][C]98[/C][C]102.1[/C][C]98.8834027584437[/C][C]3.21659724155629[/C][/ROW]
[ROW][C]99[/C][C]103.6[/C][C]111.534463261115[/C][C]-7.93446326111483[/C][/ROW]
[ROW][C]100[/C][C]106[/C][C]98.3147356017413[/C][C]7.68526439825868[/C][/ROW]
[ROW][C]101[/C][C]98.4[/C][C]102.312976793379[/C][C]-3.91297679337897[/C][/ROW]
[ROW][C]102[/C][C]106.6[/C][C]109.071003082789[/C][C]-2.471003082789[/C][/ROW]
[ROW][C]103[/C][C]95.8[/C][C]89.2144267987888[/C][C]6.58557320121119[/C][/ROW]
[ROW][C]104[/C][C]87.2[/C][C]92.6419747544386[/C][C]-5.44197475443855[/C][/ROW]
[ROW][C]105[/C][C]108.5[/C][C]106.204678260247[/C][C]2.29532173975259[/C][/ROW]
[ROW][C]106[/C][C]107[/C][C]109.964030092706[/C][C]-2.96403009270622[/C][/ROW]
[ROW][C]107[/C][C]92[/C][C]104.537433328298[/C][C]-12.5374333282979[/C][/ROW]
[ROW][C]108[/C][C]94.9[/C][C]96.8457471293794[/C][C]-1.94574712937937[/C][/ROW]
[ROW][C]109[/C][C]84.4[/C][C]97.6082602014026[/C][C]-13.2082602014026[/C][/ROW]
[ROW][C]110[/C][C]85[/C][C]92.8760167448194[/C][C]-7.87601674481942[/C][/ROW]
[ROW][C]111[/C][C]94[/C][C]98.6234231582442[/C][C]-4.62342315824421[/C][/ROW]
[ROW][C]112[/C][C]84.5[/C][C]90.2209020321619[/C][C]-5.72090203216189[/C][/ROW]
[ROW][C]113[/C][C]88.2[/C][C]87.5624834216448[/C][C]0.637516578355189[/C][/ROW]
[ROW][C]114[/C][C]92.1[/C][C]95.1488792697591[/C][C]-3.04887926975908[/C][/ROW]
[ROW][C]115[/C][C]81.1[/C][C]79.0101782411437[/C][C]2.08982175885632[/C][/ROW]
[ROW][C]116[/C][C]81.2[/C][C]78.7821012924681[/C][C]2.4178987075319[/C][/ROW]
[ROW][C]117[/C][C]96.1[/C][C]94.6333470020708[/C][C]1.4666529979292[/C][/ROW]
[ROW][C]118[/C][C]95.3[/C][C]96.9120184092151[/C][C]-1.61201840921512[/C][/ROW]
[ROW][C]119[/C][C]92.1[/C][C]90.7601533255132[/C][C]1.33984667448676[/C][/ROW]
[ROW][C]120[/C][C]91.7[/C][C]89.950562473593[/C][C]1.74943752640696[/C][/ROW]
[ROW][C]121[/C][C]90.3[/C][C]89.7776423335504[/C][C]0.522357666449565[/C][/ROW]
[ROW][C]122[/C][C]96.1[/C][C]90.7197325155358[/C][C]5.38026748446423[/C][/ROW]
[ROW][C]123[/C][C]108.7[/C][C]102.001124315287[/C][C]6.69887568471279[/C][/ROW]
[ROW][C]124[/C][C]95.9[/C][C]96.6288622314392[/C][C]-0.728862231439152[/C][/ROW]
[ROW][C]125[/C][C]95.1[/C][C]96.9159473030473[/C][C]-1.81594730304732[/C][/ROW]
[ROW][C]126[/C][C]109.4[/C][C]103.561423529437[/C][C]5.83857647056278[/C][/ROW]
[ROW][C]127[/C][C]91.2[/C][C]89.5941060486313[/C][C]1.60589395136874[/C][/ROW]
[ROW][C]128[/C][C]91.4[/C][C]89.1159737735677[/C][C]2.28402622643235[/C][/ROW]
[ROW][C]129[/C][C]107.4[/C][C]106.52489123409[/C][C]0.875108765909843[/C][/ROW]
[ROW][C]130[/C][C]105.6[/C][C]108.120809208396[/C][C]-2.52080920839614[/C][/ROW]
[ROW][C]131[/C][C]105.3[/C][C]101.597084169147[/C][C]3.70291583085269[/C][/ROW]
[ROW][C]132[/C][C]103.7[/C][C]101.491014589556[/C][C]2.20898541044438[/C][/ROW]
[ROW][C]133[/C][C]99.5[/C][C]101.082812053653[/C][C]-1.58281205365333[/C][/ROW]
[ROW][C]134[/C][C]103.2[/C][C]102.368229527157[/C][C]0.831770472842933[/C][/ROW]
[ROW][C]135[/C][C]123.1[/C][C]113.218934978005[/C][C]9.8810650219947[/C][/ROW]
[ROW][C]136[/C][C]102.2[/C][C]106.547729869576[/C][C]-4.34772986957616[/C][/ROW]
[ROW][C]137[/C][C]110[/C][C]105.389857835281[/C][C]4.61014216471884[/C][/ROW]
[ROW][C]138[/C][C]106.2[/C][C]116.638777904786[/C][C]-10.4387779047862[/C][/ROW]
[ROW][C]139[/C][C]91.3[/C][C]95.2635557224978[/C][C]-3.96355572249782[/C][/ROW]
[ROW][C]140[/C][C]99.3[/C][C]92.9565791695644[/C][C]6.3434208304356[/C][/ROW]
[ROW][C]141[/C][C]111.8[/C][C]112.342837719591[/C][C]-0.542837719590992[/C][/ROW]
[ROW][C]142[/C][C]104.4[/C][C]112.820189594778[/C][C]-8.42018959477755[/C][/ROW]
[ROW][C]143[/C][C]102.4[/C][C]105.306927220557[/C][C]-2.90692722055654[/C][/ROW]
[ROW][C]144[/C][C]101[/C][C]102.633102063139[/C][C]-1.63310206313891[/C][/ROW]
[ROW][C]145[/C][C]100.6[/C][C]100.197337483832[/C][C]0.402662516168235[/C][/ROW]
[ROW][C]146[/C][C]104.5[/C][C]102.624167262681[/C][C]1.8758327373189[/C][/ROW]
[ROW][C]147[/C][C]117.4[/C][C]115.551458527173[/C][C]1.84854147282711[/C][/ROW]
[ROW][C]148[/C][C]97.4[/C][C]103.662290254416[/C][C]-6.26229025441604[/C][/ROW]
[ROW][C]149[/C][C]99.5[/C][C]103.49219478129[/C][C]-3.99219478128956[/C][/ROW]
[ROW][C]150[/C][C]106.4[/C][C]108.52493454421[/C][C]-2.1249345442103[/C][/ROW]
[ROW][C]151[/C][C]95.2[/C][C]91.7174572034555[/C][C]3.48254279654455[/C][/ROW]
[ROW][C]152[/C][C]94[/C][C]93.8939585387892[/C][C]0.106041461210793[/C][/ROW]
[ROW][C]153[/C][C]104.1[/C][C]109.44176169872[/C][C]-5.34176169871992[/C][/ROW]
[ROW][C]154[/C][C]105.8[/C][C]106.779971092101[/C][C]-0.979971092101437[/C][/ROW]
[ROW][C]155[/C][C]101.1[/C][C]102.928354767039[/C][C]-1.82835476703926[/C][/ROW]
[ROW][C]156[/C][C]93.5[/C][C]100.888853051062[/C][C]-7.3888530510623[/C][/ROW]
[ROW][C]157[/C][C]97.9[/C][C]96.9248721998202[/C][C]0.975127800179834[/C][/ROW]
[ROW][C]158[/C][C]96.8[/C][C]99.7538685342158[/C][C]-2.95386853421577[/C][/ROW]
[ROW][C]159[/C][C]108.4[/C][C]110.453577984538[/C][C]-2.05357798453802[/C][/ROW]
[ROW][C]160[/C][C]103.5[/C][C]96.4954338255614[/C][C]7.00456617443862[/C][/ROW]
[ROW][C]161[/C][C]101.3[/C][C]101.26632752115[/C][C]0.0336724788502067[/C][/ROW]
[ROW][C]162[/C][C]107.4[/C][C]108.02645653717[/C][C]-0.626456537170299[/C][/ROW]
[ROW][C]163[/C][C]100.7[/C][C]92.7306928401823[/C][C]7.96930715981769[/C][/ROW]
[ROW][C]164[/C][C]91.1[/C][C]95.805883278842[/C][C]-4.70588327884201[/C][/ROW]
[ROW][C]165[/C][C]105[/C][C]108.686984847728[/C][C]-3.68698484772801[/C][/ROW]
[ROW][C]166[/C][C]112.8[/C][C]107.419026755876[/C][C]5.38097324412362[/C][/ROW]
[ROW][C]167[/C][C]105.6[/C][C]105.473562507706[/C][C]0.12643749229413[/C][/ROW]
[ROW][C]168[/C][C]101[/C][C]102.914280761427[/C][C]-1.91428076142725[/C][/ROW]
[ROW][C]169[/C][C]101.9[/C][C]102.411143169455[/C][C]-0.511143169455451[/C][/ROW]
[ROW][C]170[/C][C]103.5[/C][C]104.050033308119[/C][C]-0.550033308118913[/C][/ROW]
[ROW][C]171[/C][C]109.5[/C][C]116.412772371149[/C][C]-6.91277237114866[/C][/ROW]
[ROW][C]172[/C][C]105[/C][C]101.970890236687[/C][C]3.0291097633132[/C][/ROW]
[ROW][C]173[/C][C]102.9[/C][C]104.074629525596[/C][C]-1.17462952559609[/C][/ROW]
[ROW][C]174[/C][C]108.5[/C][C]110.443910591958[/C][C]-1.94391059195767[/C][/ROW]
[ROW][C]175[/C][C]96.9[/C][C]96.0209146539385[/C][C]0.879085346061544[/C][/ROW]
[ROW][C]176[/C][C]88.4[/C][C]94.2554713961649[/C][C]-5.85547139616487[/C][/ROW]
[ROW][C]177[/C][C]112.4[/C][C]106.765744763069[/C][C]5.63425523693101[/C][/ROW]
[ROW][C]178[/C][C]111.3[/C][C]110.427167835707[/C][C]0.872832164293371[/C][/ROW]
[ROW][C]179[/C][C]101.6[/C][C]105.916596821532[/C][C]-4.31659682153187[/C][/ROW]
[ROW][C]180[/C][C]101.2[/C][C]101.4774458516[/C][C]-0.277445851600461[/C][/ROW]
[ROW][C]181[/C][C]101.8[/C][C]101.801459583266[/C][C]-0.00145958326618256[/C][/ROW]
[ROW][C]182[/C][C]98.8[/C][C]103.602488561027[/C][C]-4.80248856102689[/C][/ROW]
[ROW][C]183[/C][C]114.4[/C][C]113.078800705855[/C][C]1.32119929414532[/C][/ROW]
[ROW][C]184[/C][C]104.5[/C][C]103.270246894315[/C][C]1.22975310568542[/C][/ROW]
[ROW][C]185[/C][C]97.6[/C][C]103.956912108662[/C][C]-6.3569121086622[/C][/ROW]
[ROW][C]186[/C][C]109.1[/C][C]108.298104171[/C][C]0.80189582900033[/C][/ROW]
[ROW][C]187[/C][C]94.5[/C][C]95.4556817572304[/C][C]-0.95568175723038[/C][/ROW]
[ROW][C]188[/C][C]90.4[/C][C]91.8075940375615[/C][C]-1.40759403756149[/C][/ROW]
[ROW][C]189[/C][C]111.8[/C][C]108.042655856673[/C][C]3.75734414332724[/C][/ROW]
[ROW][C]190[/C][C]110.5[/C][C]110.152693792455[/C][C]0.347306207544804[/C][/ROW]
[ROW][C]191[/C][C]106.8[/C][C]104.49781601974[/C][C]2.30218398026012[/C][/ROW]
[ROW][C]192[/C][C]101.8[/C][C]103.056674829439[/C][C]-1.25667482943891[/C][/ROW]
[ROW][C]193[/C][C]103.7[/C][C]103.099930187539[/C][C]0.600069812461314[/C][/ROW]
[ROW][C]194[/C][C]107.4[/C][C]104.188787589137[/C][C]3.21121241086323[/C][/ROW]
[ROW][C]195[/C][C]117.5[/C][C]118.080268516156[/C][C]-0.580268516156451[/C][/ROW]
[ROW][C]196[/C][C]109.6[/C][C]107.221153833821[/C][C]2.37884616617872[/C][/ROW]
[ROW][C]197[/C][C]102.8[/C][C]106.775553788888[/C][C]-3.97555378888765[/C][/ROW]
[ROW][C]198[/C][C]115.5[/C][C]113.659535845439[/C][C]1.84046415456102[/C][/ROW]
[ROW][C]199[/C][C]97.8[/C][C]100.137017859558[/C][C]-2.33701785955806[/C][/ROW]
[ROW][C]200[/C][C]100.2[/C][C]95.7590750037532[/C][C]4.44092499624681[/C][/ROW]
[ROW][C]201[/C][C]112.9[/C][C]116.162827715567[/C][C]-3.26282771556656[/C][/ROW]
[ROW][C]202[/C][C]108.7[/C][C]115.211689487027[/C][C]-6.51168948702747[/C][/ROW]
[ROW][C]203[/C][C]109[/C][C]107.436901160974[/C][C]1.56309883902586[/C][/ROW]
[ROW][C]204[/C][C]113.9[/C][C]104.997254022235[/C][C]8.90274597776462[/C][/ROW]
[ROW][C]205[/C][C]106.9[/C][C]108.908295407374[/C][C]-2.00829540737357[/C][/ROW]
[ROW][C]206[/C][C]109.6[/C][C]109.643732382542[/C][C]-0.0437323825424869[/C][/ROW]
[ROW][C]207[/C][C]124.5[/C][C]122.112292870312[/C][C]2.38770712968804[/C][/ROW]
[ROW][C]208[/C][C]104.2[/C][C]112.375515780852[/C][C]-8.17551578085225[/C][/ROW]
[ROW][C]209[/C][C]110.8[/C][C]107.065184837798[/C][C]3.73481516220158[/C][/ROW]
[ROW][C]210[/C][C]118.7[/C][C]118.016498082023[/C][C]0.683501917977253[/C][/ROW]
[ROW][C]211[/C][C]102.1[/C][C]102.820688141429[/C][C]-0.720688141428923[/C][/ROW]
[ROW][C]212[/C][C]105.1[/C][C]100.177455807331[/C][C]4.92254419266933[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311835&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311835&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
137673.41298193540582.58701806459425
1475.373.59001255032361.70998744967639
1581.780.74981715269830.95018284730169
1672.572.19228484955290.307715150447123
1777.477.4598158495794-0.0598158495794081
1881.181.7110993499235-0.611099349923464
1965.163.51965663566941.58034336433055
2068.769.2495476352525-0.549547635252523
2175.681.2236413828328-5.62364138283276
2279.778.59721406684451.10278593315552
2375.379.5791986012519-4.27919860125193
2467.771.5361222971439-3.83612229714393
2573.275.1060371211128-1.90603712111279
2672.273.5781472081385-1.37814720813847
2779.379.418905059718-0.11890505971796
2877.570.58683275657636.91316724342374
2975.678.0897857240387-2.48978572403868
3077.481.3930263987776-3.99302639877754
3169.262.75364218306496.44635781693506
3267.169.7895843586161-2.68958435861614
3377.980.0250804128472-2.12508041284718
3482.779.8801039361682.81989606383198
3575.780.3974416451032-4.69744164510318
3670.172.1512022317963-2.05120223179628
3776.476.8368479289754-0.436847928975368
3874.375.8745773854692-1.57457738546924
3980.582.1011362084574-1.60113620845742
407873.83976652191754.16023347808253
4173.578.6468538461779-5.14685384617795
4278.880.7456375686484-1.94563756864837
4371.264.59137475258916.60862524741091
4466.269.9680170653597-3.7680170653597
4582.779.98861463019982.71138536980015
4683.882.46737601534931.33262398465068
477580.9860822264772-5.98608222647724
4880.472.71172399695687.68827600304324
4974.681.3712059630236-6.77120596302362
5077.777.9764458481929-0.276445848192864
5189.884.88614659607524.91385340392483
5282.479.48678002247382.91321997752617
537782.1507729014785-5.15077290147853
5489.685.10014783792544.49985216207459
5575.771.50920614410684.19079385589325
5675.174.13299433700680.967005662993202
5789.988.17575630752251.72424369247749
5888.890.1418700461386-1.34187004613861
5986.586.03795589501560.4620441049844
609082.09788892192657.9021110780735
618488.3524532331538-4.35245323315375
6282.787.0084589918949-4.30845899189487
6391.794.2628752894886-2.56287528948864
6487.585.391705556432.10829444357005
658286.214873469498-4.21487346949796
6692.291.72592612629570.474073873704342
6773.175.904626834376-2.80462683437599
6875.675.52102302779030.078976972209702
6991.689.56445545573392.03554454426609
7087.591.059701740932-3.55970174093201
7190.186.52142784246273.57857215753731
7291.384.96552721173436.33447278826574
7387.688.347613073879-0.747613073879052
7488.488.23099342639810.169006573601891
75100.797.71801167928942.98198832071058
7685.391.1684773182558-5.86847731825584
779287.99798325014194.0020167498581
7896.897.7039643590493-0.903964359049311
7977.979.7874969571316-1.88749695713155
8080.980.32256137898090.577438621019155
8195.395.830527327578-0.530527327578
8299.395.34173441050323.95826558949675
8396.194.53876808526731.56123191473269
8492.592.5922406530888-0.0922406530887514
8593.792.40403101748971.29596898251033
8692.193.1647557136789-1.06475571367891
87103.6103.2470959334740.352904066525625
8892.593.6976670344256-1.19766703442559
8995.794.01939074369561.68060925630439
90103.4102.347957829551.05204217045025
918983.89443403476885.10556596523116
9289.187.418439575811.68156042418997
9398.7104.446796774844-5.74679677484413
94109.4103.0295092172366.37049078276441
95101.1102.365383951175-1.26538395117542
9695.498.9239339296888-3.52393392968884
97101.497.8121764335043.587823566496
98102.198.88340275844373.21659724155629
99103.6111.534463261115-7.93446326111483
10010698.31473560174137.68526439825868
10198.4102.312976793379-3.91297679337897
102106.6109.071003082789-2.471003082789
10395.889.21442679878886.58557320121119
10487.292.6419747544386-5.44197475443855
105108.5106.2046782602472.29532173975259
106107109.964030092706-2.96403009270622
10792104.537433328298-12.5374333282979
10894.996.8457471293794-1.94574712937937
10984.497.6082602014026-13.2082602014026
1108592.8760167448194-7.87601674481942
1119498.6234231582442-4.62342315824421
11284.590.2209020321619-5.72090203216189
11388.287.56248342164480.637516578355189
11492.195.1488792697591-3.04887926975908
11581.179.01017824114372.08982175885632
11681.278.78210129246812.4178987075319
11796.194.63334700207081.4666529979292
11895.396.9120184092151-1.61201840921512
11992.190.76015332551321.33984667448676
12091.789.9505624735931.74943752640696
12190.389.77764233355040.522357666449565
12296.190.71973251553585.38026748446423
123108.7102.0011243152876.69887568471279
12495.996.6288622314392-0.728862231439152
12595.196.9159473030473-1.81594730304732
126109.4103.5614235294375.83857647056278
12791.289.59410604863131.60589395136874
12891.489.11597377356772.28402622643235
129107.4106.524891234090.875108765909843
130105.6108.120809208396-2.52080920839614
131105.3101.5970841691473.70291583085269
132103.7101.4910145895562.20898541044438
13399.5101.082812053653-1.58281205365333
134103.2102.3682295271570.831770472842933
135123.1113.2189349780059.8810650219947
136102.2106.547729869576-4.34772986957616
137110105.3898578352814.61014216471884
138106.2116.638777904786-10.4387779047862
13991.395.2635557224978-3.96355572249782
14099.392.95657916956446.3434208304356
141111.8112.342837719591-0.542837719590992
142104.4112.820189594778-8.42018959477755
143102.4105.306927220557-2.90692722055654
144101102.633102063139-1.63310206313891
145100.6100.1973374838320.402662516168235
146104.5102.6241672626811.8758327373189
147117.4115.5514585271731.84854147282711
14897.4103.662290254416-6.26229025441604
14999.5103.49219478129-3.99219478128956
150106.4108.52493454421-2.1249345442103
15195.291.71745720345553.48254279654455
1529493.89395853878920.106041461210793
153104.1109.44176169872-5.34176169871992
154105.8106.779971092101-0.979971092101437
155101.1102.928354767039-1.82835476703926
15693.5100.888853051062-7.3888530510623
15797.996.92487219982020.975127800179834
15896.899.7538685342158-2.95386853421577
159108.4110.453577984538-2.05357798453802
160103.596.49543382556147.00456617443862
161101.3101.266327521150.0336724788502067
162107.4108.02645653717-0.626456537170299
163100.792.73069284018237.96930715981769
16491.195.805883278842-4.70588327884201
165105108.686984847728-3.68698484772801
166112.8107.4190267558765.38097324412362
167105.6105.4735625077060.12643749229413
168101102.914280761427-1.91428076142725
169101.9102.411143169455-0.511143169455451
170103.5104.050033308119-0.550033308118913
171109.5116.412772371149-6.91277237114866
172105101.9708902366873.0291097633132
173102.9104.074629525596-1.17462952559609
174108.5110.443910591958-1.94391059195767
17596.996.02091465393850.879085346061544
17688.494.2554713961649-5.85547139616487
177112.4106.7657447630695.63425523693101
178111.3110.4271678357070.872832164293371
179101.6105.916596821532-4.31659682153187
180101.2101.4774458516-0.277445851600461
181101.8101.801459583266-0.00145958326618256
18298.8103.602488561027-4.80248856102689
183114.4113.0788007058551.32119929414532
184104.5103.2702468943151.22975310568542
18597.6103.956912108662-6.3569121086622
186109.1108.2981041710.80189582900033
18794.595.4556817572304-0.95568175723038
18890.491.8075940375615-1.40759403756149
189111.8108.0426558566733.75734414332724
190110.5110.1526937924550.347306207544804
191106.8104.497816019742.30218398026012
192101.8103.056674829439-1.25667482943891
193103.7103.0999301875390.600069812461314
194107.4104.1887875891373.21121241086323
195117.5118.080268516156-0.580268516156451
196109.6107.2211538338212.37884616617872
197102.8106.775553788888-3.97555378888765
198115.5113.6595358454391.84046415456102
19997.8100.137017859558-2.33701785955806
200100.295.75907500375324.44092499624681
201112.9116.162827715567-3.26282771556656
202108.7115.211689487027-6.51168948702747
203109107.4369011609741.56309883902586
204113.9104.9972540222358.90274597776462
205106.9108.908295407374-2.00829540737357
206109.6109.643732382542-0.0437323825424869
207124.5122.1122928703122.38770712968804
208104.2112.375515780852-8.17551578085225
209110.8107.0651848377983.73481516220158
210118.7118.0164980820230.683501917977253
211102.1102.820688141429-0.720688141428923
212105.1100.1774558073314.92254419266933







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213119.92835132964115.74443643031124.11226622897
214119.417513291216114.452128640853124.382897941579
215115.115076581231109.563650830663120.666502331799
216113.366693114883107.255287258332119.478098971434
217112.09890657572105.475727121122118.722086030319
218113.95685201517106.74085540198121.17284862836
219127.399621109086119.062056448292135.737185769879
220114.377302032389106.31254967803122.442054386747
221114.095811943033105.624711726487122.566912159579
222123.592594204435114.141156231214133.044032177656
223107.19292966026898.4348240805412115.951035239994
224105.78040828803590.0579492199771121.502867356093

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 119.92835132964 & 115.74443643031 & 124.11226622897 \tabularnewline
214 & 119.417513291216 & 114.452128640853 & 124.382897941579 \tabularnewline
215 & 115.115076581231 & 109.563650830663 & 120.666502331799 \tabularnewline
216 & 113.366693114883 & 107.255287258332 & 119.478098971434 \tabularnewline
217 & 112.09890657572 & 105.475727121122 & 118.722086030319 \tabularnewline
218 & 113.95685201517 & 106.74085540198 & 121.17284862836 \tabularnewline
219 & 127.399621109086 & 119.062056448292 & 135.737185769879 \tabularnewline
220 & 114.377302032389 & 106.31254967803 & 122.442054386747 \tabularnewline
221 & 114.095811943033 & 105.624711726487 & 122.566912159579 \tabularnewline
222 & 123.592594204435 & 114.141156231214 & 133.044032177656 \tabularnewline
223 & 107.192929660268 & 98.4348240805412 & 115.951035239994 \tabularnewline
224 & 105.780408288035 & 90.0579492199771 & 121.502867356093 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311835&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]119.92835132964[/C][C]115.74443643031[/C][C]124.11226622897[/C][/ROW]
[ROW][C]214[/C][C]119.417513291216[/C][C]114.452128640853[/C][C]124.382897941579[/C][/ROW]
[ROW][C]215[/C][C]115.115076581231[/C][C]109.563650830663[/C][C]120.666502331799[/C][/ROW]
[ROW][C]216[/C][C]113.366693114883[/C][C]107.255287258332[/C][C]119.478098971434[/C][/ROW]
[ROW][C]217[/C][C]112.09890657572[/C][C]105.475727121122[/C][C]118.722086030319[/C][/ROW]
[ROW][C]218[/C][C]113.95685201517[/C][C]106.74085540198[/C][C]121.17284862836[/C][/ROW]
[ROW][C]219[/C][C]127.399621109086[/C][C]119.062056448292[/C][C]135.737185769879[/C][/ROW]
[ROW][C]220[/C][C]114.377302032389[/C][C]106.31254967803[/C][C]122.442054386747[/C][/ROW]
[ROW][C]221[/C][C]114.095811943033[/C][C]105.624711726487[/C][C]122.566912159579[/C][/ROW]
[ROW][C]222[/C][C]123.592594204435[/C][C]114.141156231214[/C][C]133.044032177656[/C][/ROW]
[ROW][C]223[/C][C]107.192929660268[/C][C]98.4348240805412[/C][C]115.951035239994[/C][/ROW]
[ROW][C]224[/C][C]105.780408288035[/C][C]90.0579492199771[/C][C]121.502867356093[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311835&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311835&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
213119.92835132964115.74443643031124.11226622897
214119.417513291216114.452128640853124.382897941579
215115.115076581231109.563650830663120.666502331799
216113.366693114883107.255287258332119.478098971434
217112.09890657572105.475727121122118.722086030319
218113.95685201517106.74085540198121.17284862836
219127.399621109086119.062056448292135.737185769879
220114.377302032389106.31254967803122.442054386747
221114.095811943033105.624711726487122.566912159579
222123.592594204435114.141156231214133.044032177656
223107.19292966026898.4348240805412115.951035239994
224105.78040828803590.0579492199771121.502867356093



Parameters (Session):
par1 = grey ; par2 = no ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '12'
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')