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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 computationSat, 09 Dec 2017 10:43:59 +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/09/t1512812684puvtjln7c54gk8z.htm/, Retrieved Tue, 14 May 2024 18:01:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308832, Retrieved Tue, 14 May 2024 18:01:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-09 09:43:59] [d303646f018933692b665a59d945002e] [Current]
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Dataseries X:
56.6
71.5
83.3
66.9
86.8
74.9
60.9
72.1
84.3
88.6
82.2
51.8
80.9
76.7
82.6
74.6
78.6
79
64.4
64
77.9
83.8
74.2
51.7
79.9
74.8
78
78.4
77.3
77.9
72
66.4
83.5
85.1
74.8
56.1
75.3
75.3
75.4
76.7
72.3
78.1
69.4
55
79.9
88.6
72.2
59.2
77.9
77.8
90.4
87.4
82.9
97.5
75.8
74
95.5
95.6
95.8
75.5
89.9
91.8
97
95.7
86
93.3
68.7
64.5
91
84.9
97.3
70.2
100.9
99.7
121.3
102.8
111.8
117.6
80.7
81.6
99.5
108.3
107.5
84.4
115.6
109.8
116.9
106.8
112.9
113.9
94.9
85.1
101
109.7
104.1
76.7
116.5
121.7
117.9
133.3
117.8
129.8
109.1
88
120.1
118.4
89.7
71.4
75.9
75.2
79.2
70.8
73.7
79.4
68.5
66.5
93
91.9
86.1
66.2
90.4
92.4
108.8
103.6
103
117.1
91.9
80.3
111.6
106.6
107
87.3
104.5
102.8
116.2
103.4
112.8
103
85.5
83.2
106.4
98.2
100.5
75.5
101.3
105.2
112.7
95.7
99.3
103
88.4
78.5
97
106.4
94.7
73.7
101.5
100.5
102.1
101.4
98.6
104.7
87.6
76
102.9
107.8
96
69.6
105.4
100.5
100.4
101.8
94.9
100.5
89.4
75.9
109.1
107.4
86.6
75.7
105.3
104.4
119.5
111.6
105.7
122.3
97.7
82.4
113.4
113.8
103.1
82.2
104.5
104.8
110.7
110.6
103.9
111.9
82.8
81.4
108.3
103.9
105.3
86
109.9
103.9
120.5
102.6
110.7
116.8
86.7
90.1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308832&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308832&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308832&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.561838929385743
beta0
gamma0.448954306281954

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.561838929385743 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.448954306281954 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308832&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]0.561838929385743[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.448954306281954[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308832&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308832&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
alpha0.561838929385743
beta0
gamma0.448954306281954







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1380.979.83866519682741.06133480317261
1476.776.37056225345540.329437746544627
1582.683.0175413956961-0.417541395696105
1674.675.1511790282742-0.551179028274191
1778.679.3351986783691-0.73519867836913
187979.5998423096158-0.599842309615781
1964.460.79035366952783.60964633047222
206473.0850002280151-9.08500022801508
2177.979.197737128422-1.29773712842204
2283.882.0614683321951.73853166780501
2374.276.974438837296-2.77443883729603
2451.747.57699788640864.12300211359136
2579.977.71452672510682.18547327489321
2674.874.8209557119779-0.0209557119779049
277880.9725442144043-2.97254421440425
2878.471.95537439040986.44462560959019
2977.380.0841878761629-2.78418787616287
3077.979.2211737763752-1.3211737763752
317260.959653914051611.0403460859484
3266.475.2387754950259-8.83877549502589
3383.583.8103461416664-0.310346141666372
3485.188.1188171296438-3.01881712964381
3574.879.2089469756447-4.40894697564471
3656.149.55421187793786.54578812206219
3775.382.0368222760548-6.73682227605481
3875.373.75948884462891.54051115537112
3975.480.1818186494696-4.78181864946956
4076.772.02489910468874.67510089531129
4172.377.254269956373-4.95426995637304
4278.175.40923012787272.69076987212729
4369.461.88544183572777.5145581642723
445569.9587205936088-14.9587205936088
4579.975.21079690587024.68920309412985
4688.681.5073753973547.09262460264597
4772.278.0061884007787-5.80618840077867
4859.250.00246509100699.1975349089931
4977.981.6106818191256-3.71068181912561
5077.876.56416139351781.23583860648218
5190.481.67482213809028.72517786190984
5287.482.46850130443964.93149869556045
5382.986.0078435919496-3.10784359194956
5497.587.062463411924210.4375365880758
5575.875.9259138075539-0.125913807553914
567474.7735115852049-0.773511585204886
5795.596.5464580309819-1.04645803098187
5895.6100.937135474914-5.33713547491352
5995.886.59464718888559.20535281111448
6075.564.401940440264211.0980595597358
6189.9100.264225690175-10.3642256901748
6291.892.0712556607502-0.271255660750157
639798.8051037997999-1.80510379979985
6495.792.38797367780683.3120263221932
658693.3540013614241-7.35400136142414
6693.394.9192064902156-1.61920649021557
6768.775.1249178595619-6.42491785956187
6864.570.3701349611352-5.87013496113516
699187.09155498872633.90844501127366
7084.993.1065899012496-8.20658990124959
7197.380.646870200736416.6531297992636
7270.263.85422918807036.34577081192973
73100.990.817888253946710.0821117460533
7499.796.08442710244723.61557289755285
75121.3105.15032739986416.1496726001362
76102.8109.069337905667-6.26933790566734
77111.8102.1528206986489.64717930135235
78117.6115.9533467996871.64665320031338
7980.792.0783459423561-11.3783459423561
8081.684.3677297302317-2.76772973023172
8199.5110.379492108484-10.8794921084843
82108.3105.8465946647192.45340533528061
83107.5103.1739930782224.32600692177782
8484.473.638225192612510.7617748073875
85115.6107.5680809157078.03191908429291
86109.8110.174353314481-0.374353314481084
87116.9120.264115140104-3.36411514010447
88106.8108.689270657429-1.88927065742891
89112.9107.260251303575.63974869643042
90113.9117.293184323265-3.39318432326543
9194.988.28284671945286.61715328054719
9285.192.4108102481828-7.31081024818278
93101116.051419206673-15.0514192066733
94109.7112.020756933655-2.32075693365462
95104.1106.913683837926-2.81368383792591
9676.774.79671452542641.90328547457362
97116.5101.16311565191715.3368843480829
98121.7106.33858039693815.3614196030618
99117.9125.123119057426-7.22311905742565
100133.3111.4012588466221.8987411533803
101117.8124.965145133795-7.16514513379505
102129.8126.4510609648863.34893903511377
103109.1100.1644553372068.9355446627936
10488102.491486804967-14.4914868049666
105120.1122.589312501405-2.48931250140471
106118.4129.22573316856-10.8257331685605
10789.7118.78866050316-29.0886605031596
10871.473.4901908018519-2.0901908018519
10975.998.5881418619417-22.6881418619417
11075.283.0329954257035-7.83299542570352
11179.282.3769906646798-3.17699066467983
11270.877.6250616203737-6.82506162037366
11373.771.15947547085812.54052452914192
11479.477.1496203617562.25037963824406
11568.561.88048190000046.6195180999996
11666.560.94488078324445.55511921675564
1179385.46235727313137.53764272686874
11891.994.3483639497729-2.44836394977285
11986.186.1462303916733-0.0462303916733333
12066.265.05498514461881.14501485538123
12190.485.388098023825.01190197618001
12292.488.24116217277174.15883782722833
123108.896.052973041648112.7470269583519
124103.698.39323376610135.20676623389872
125103100.2349056273262.76509437267433
126117.1108.0881914226519.01180857734859
12791.990.58546045487571.31453954512433
12880.384.6355083044463-4.33550830444631
129111.6109.6183168776641.98168312233605
130106.6114.005103394001-7.40510339400115
131107102.3141757916024.6858242083982
13287.379.57064504706667.72935495293338
133104.5109.927148177306-5.42714817730553
134102.8106.712663518691-3.91266351869098
135116.2112.5213071691793.67869283082059
136103.4107.729657262529-4.32965726252927
137112.8103.6817976436169.11820235638351
138103116.730805438658-13.7308054386582
13985.586.1684757415416-0.668475741541585
14083.278.45827880938224.74172119061784
141106.4109.700484432394-3.30048443239363
14298.2109.174807932077-10.9748079320768
143100.598.086257387642.41374261236001
14475.576.0910436508551-0.591043650855127
145101.396.49558299838074.80441700161929
146105.299.29887223509175.90112776490831
147112.7111.9972102030630.702789796937296
14895.7104.150473319171-8.45047331917135
14999.3100.298570548105-0.998570548105349
150103102.6509689204830.349031079516607
15188.483.22744040434245.17255959565757
15278.579.7982236263863-1.29822362638633
15397105.068521546471-8.06852154647115
154106.4100.2389764483986.16102355160166
15594.7101.342770702934-6.64277070293426
15673.774.2188957715354-0.518895771535426
157101.595.20399883668376.2960011633163
158100.599.01844033957571.48155966042428
159102.1107.891066989372-5.79106698937244
160101.495.22000323874016.1799967612599
16198.6101.076670385516-2.476670385516
162104.7102.8683030520661.83169694793355
16387.685.01457667053392.58542332946605
1647678.9157683798058-2.91576837980584
165102.9101.3928952050331.50710479496709
166107.8104.7868435660463.01315643395442
16796101.481047023111-5.48104702311126
16869.675.7322405028344-6.13224050283438
169105.494.387633831270711.0123661687293
170100.599.89891153946230.601088460537696
171100.4106.817080961252-6.41708096125214
172101.896.12584652242915.67415347757085
17394.999.9841082852468-5.08410828524678
174100.5101.068855447105-0.568855447104781
17589.482.63445816455126.7655418354488
17675.977.8431723999113-1.94317239991129
177109.1101.7498264865727.35017351342829
178107.4108.808764888537-1.40876488853674
17986.6101.255469727635-14.6554697276353
18075.771.17395826062384.52604173937623
181105.399.99992705242575.30007294757425
182104.4100.2472896475274.1527103524726
183119.5107.85252844164811.6474715583521
184111.6109.0845455285692.51545447143107
185105.7108.882840217549-3.1828402175488
186122.3112.4845659585599.81543404144109
18797.798.3949582993063-0.694958299306251
18882.486.4982372294809-4.09823722948094
189113.4113.718231741661-0.318231741660767
190113.8114.818552955364-1.01855295536434
191103.1104.047241826843-0.947241826843324
19282.282.7328788764052-0.532878876405235
193104.5111.617695335853-7.11769533585264
194104.8104.5440133511120.255986648888268
195110.7111.386869851276-0.686869851275517
196110.6104.228855318786.37114468122002
197103.9105.138454608303-1.2384546083031
198111.9112.148136316819-0.248136316819142
19982.891.7629823558557-8.96298235585574
20081.475.91068777480245.48931222519761
201108.3107.6611873314930.638812668507441
202103.9109.101380395423-5.20138039542348
203105.396.6901616436628.60983835633799
2048681.18620640769994.81379359230014
205109.9112.257448481615-2.35744848161546
206103.9109.24036615217-5.34036615216986
207120.5112.8477068003397.65229319966055
208102.6111.419236214095-8.81923621409484
209110.7102.393062658958.30693734105016
210116.8115.1798373721421.62016262785826
21186.793.2164053164672-6.51640531646721
21290.181.1098615172538.99013848274704

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 80.9 & 79.8386651968274 & 1.06133480317261 \tabularnewline
14 & 76.7 & 76.3705622534554 & 0.329437746544627 \tabularnewline
15 & 82.6 & 83.0175413956961 & -0.417541395696105 \tabularnewline
16 & 74.6 & 75.1511790282742 & -0.551179028274191 \tabularnewline
17 & 78.6 & 79.3351986783691 & -0.73519867836913 \tabularnewline
18 & 79 & 79.5998423096158 & -0.599842309615781 \tabularnewline
19 & 64.4 & 60.7903536695278 & 3.60964633047222 \tabularnewline
20 & 64 & 73.0850002280151 & -9.08500022801508 \tabularnewline
21 & 77.9 & 79.197737128422 & -1.29773712842204 \tabularnewline
22 & 83.8 & 82.061468332195 & 1.73853166780501 \tabularnewline
23 & 74.2 & 76.974438837296 & -2.77443883729603 \tabularnewline
24 & 51.7 & 47.5769978864086 & 4.12300211359136 \tabularnewline
25 & 79.9 & 77.7145267251068 & 2.18547327489321 \tabularnewline
26 & 74.8 & 74.8209557119779 & -0.0209557119779049 \tabularnewline
27 & 78 & 80.9725442144043 & -2.97254421440425 \tabularnewline
28 & 78.4 & 71.9553743904098 & 6.44462560959019 \tabularnewline
29 & 77.3 & 80.0841878761629 & -2.78418787616287 \tabularnewline
30 & 77.9 & 79.2211737763752 & -1.3211737763752 \tabularnewline
31 & 72 & 60.9596539140516 & 11.0403460859484 \tabularnewline
32 & 66.4 & 75.2387754950259 & -8.83877549502589 \tabularnewline
33 & 83.5 & 83.8103461416664 & -0.310346141666372 \tabularnewline
34 & 85.1 & 88.1188171296438 & -3.01881712964381 \tabularnewline
35 & 74.8 & 79.2089469756447 & -4.40894697564471 \tabularnewline
36 & 56.1 & 49.5542118779378 & 6.54578812206219 \tabularnewline
37 & 75.3 & 82.0368222760548 & -6.73682227605481 \tabularnewline
38 & 75.3 & 73.7594888446289 & 1.54051115537112 \tabularnewline
39 & 75.4 & 80.1818186494696 & -4.78181864946956 \tabularnewline
40 & 76.7 & 72.0248991046887 & 4.67510089531129 \tabularnewline
41 & 72.3 & 77.254269956373 & -4.95426995637304 \tabularnewline
42 & 78.1 & 75.4092301278727 & 2.69076987212729 \tabularnewline
43 & 69.4 & 61.8854418357277 & 7.5145581642723 \tabularnewline
44 & 55 & 69.9587205936088 & -14.9587205936088 \tabularnewline
45 & 79.9 & 75.2107969058702 & 4.68920309412985 \tabularnewline
46 & 88.6 & 81.507375397354 & 7.09262460264597 \tabularnewline
47 & 72.2 & 78.0061884007787 & -5.80618840077867 \tabularnewline
48 & 59.2 & 50.0024650910069 & 9.1975349089931 \tabularnewline
49 & 77.9 & 81.6106818191256 & -3.71068181912561 \tabularnewline
50 & 77.8 & 76.5641613935178 & 1.23583860648218 \tabularnewline
51 & 90.4 & 81.6748221380902 & 8.72517786190984 \tabularnewline
52 & 87.4 & 82.4685013044396 & 4.93149869556045 \tabularnewline
53 & 82.9 & 86.0078435919496 & -3.10784359194956 \tabularnewline
54 & 97.5 & 87.0624634119242 & 10.4375365880758 \tabularnewline
55 & 75.8 & 75.9259138075539 & -0.125913807553914 \tabularnewline
56 & 74 & 74.7735115852049 & -0.773511585204886 \tabularnewline
57 & 95.5 & 96.5464580309819 & -1.04645803098187 \tabularnewline
58 & 95.6 & 100.937135474914 & -5.33713547491352 \tabularnewline
59 & 95.8 & 86.5946471888855 & 9.20535281111448 \tabularnewline
60 & 75.5 & 64.4019404402642 & 11.0980595597358 \tabularnewline
61 & 89.9 & 100.264225690175 & -10.3642256901748 \tabularnewline
62 & 91.8 & 92.0712556607502 & -0.271255660750157 \tabularnewline
63 & 97 & 98.8051037997999 & -1.80510379979985 \tabularnewline
64 & 95.7 & 92.3879736778068 & 3.3120263221932 \tabularnewline
65 & 86 & 93.3540013614241 & -7.35400136142414 \tabularnewline
66 & 93.3 & 94.9192064902156 & -1.61920649021557 \tabularnewline
67 & 68.7 & 75.1249178595619 & -6.42491785956187 \tabularnewline
68 & 64.5 & 70.3701349611352 & -5.87013496113516 \tabularnewline
69 & 91 & 87.0915549887263 & 3.90844501127366 \tabularnewline
70 & 84.9 & 93.1065899012496 & -8.20658990124959 \tabularnewline
71 & 97.3 & 80.6468702007364 & 16.6531297992636 \tabularnewline
72 & 70.2 & 63.8542291880703 & 6.34577081192973 \tabularnewline
73 & 100.9 & 90.8178882539467 & 10.0821117460533 \tabularnewline
74 & 99.7 & 96.0844271024472 & 3.61557289755285 \tabularnewline
75 & 121.3 & 105.150327399864 & 16.1496726001362 \tabularnewline
76 & 102.8 & 109.069337905667 & -6.26933790566734 \tabularnewline
77 & 111.8 & 102.152820698648 & 9.64717930135235 \tabularnewline
78 & 117.6 & 115.953346799687 & 1.64665320031338 \tabularnewline
79 & 80.7 & 92.0783459423561 & -11.3783459423561 \tabularnewline
80 & 81.6 & 84.3677297302317 & -2.76772973023172 \tabularnewline
81 & 99.5 & 110.379492108484 & -10.8794921084843 \tabularnewline
82 & 108.3 & 105.846594664719 & 2.45340533528061 \tabularnewline
83 & 107.5 & 103.173993078222 & 4.32600692177782 \tabularnewline
84 & 84.4 & 73.6382251926125 & 10.7617748073875 \tabularnewline
85 & 115.6 & 107.568080915707 & 8.03191908429291 \tabularnewline
86 & 109.8 & 110.174353314481 & -0.374353314481084 \tabularnewline
87 & 116.9 & 120.264115140104 & -3.36411514010447 \tabularnewline
88 & 106.8 & 108.689270657429 & -1.88927065742891 \tabularnewline
89 & 112.9 & 107.26025130357 & 5.63974869643042 \tabularnewline
90 & 113.9 & 117.293184323265 & -3.39318432326543 \tabularnewline
91 & 94.9 & 88.2828467194528 & 6.61715328054719 \tabularnewline
92 & 85.1 & 92.4108102481828 & -7.31081024818278 \tabularnewline
93 & 101 & 116.051419206673 & -15.0514192066733 \tabularnewline
94 & 109.7 & 112.020756933655 & -2.32075693365462 \tabularnewline
95 & 104.1 & 106.913683837926 & -2.81368383792591 \tabularnewline
96 & 76.7 & 74.7967145254264 & 1.90328547457362 \tabularnewline
97 & 116.5 & 101.163115651917 & 15.3368843480829 \tabularnewline
98 & 121.7 & 106.338580396938 & 15.3614196030618 \tabularnewline
99 & 117.9 & 125.123119057426 & -7.22311905742565 \tabularnewline
100 & 133.3 & 111.40125884662 & 21.8987411533803 \tabularnewline
101 & 117.8 & 124.965145133795 & -7.16514513379505 \tabularnewline
102 & 129.8 & 126.451060964886 & 3.34893903511377 \tabularnewline
103 & 109.1 & 100.164455337206 & 8.9355446627936 \tabularnewline
104 & 88 & 102.491486804967 & -14.4914868049666 \tabularnewline
105 & 120.1 & 122.589312501405 & -2.48931250140471 \tabularnewline
106 & 118.4 & 129.22573316856 & -10.8257331685605 \tabularnewline
107 & 89.7 & 118.78866050316 & -29.0886605031596 \tabularnewline
108 & 71.4 & 73.4901908018519 & -2.0901908018519 \tabularnewline
109 & 75.9 & 98.5881418619417 & -22.6881418619417 \tabularnewline
110 & 75.2 & 83.0329954257035 & -7.83299542570352 \tabularnewline
111 & 79.2 & 82.3769906646798 & -3.17699066467983 \tabularnewline
112 & 70.8 & 77.6250616203737 & -6.82506162037366 \tabularnewline
113 & 73.7 & 71.1594754708581 & 2.54052452914192 \tabularnewline
114 & 79.4 & 77.149620361756 & 2.25037963824406 \tabularnewline
115 & 68.5 & 61.8804819000004 & 6.6195180999996 \tabularnewline
116 & 66.5 & 60.9448807832444 & 5.55511921675564 \tabularnewline
117 & 93 & 85.4623572731313 & 7.53764272686874 \tabularnewline
118 & 91.9 & 94.3483639497729 & -2.44836394977285 \tabularnewline
119 & 86.1 & 86.1462303916733 & -0.0462303916733333 \tabularnewline
120 & 66.2 & 65.0549851446188 & 1.14501485538123 \tabularnewline
121 & 90.4 & 85.38809802382 & 5.01190197618001 \tabularnewline
122 & 92.4 & 88.2411621727717 & 4.15883782722833 \tabularnewline
123 & 108.8 & 96.0529730416481 & 12.7470269583519 \tabularnewline
124 & 103.6 & 98.3932337661013 & 5.20676623389872 \tabularnewline
125 & 103 & 100.234905627326 & 2.76509437267433 \tabularnewline
126 & 117.1 & 108.088191422651 & 9.01180857734859 \tabularnewline
127 & 91.9 & 90.5854604548757 & 1.31453954512433 \tabularnewline
128 & 80.3 & 84.6355083044463 & -4.33550830444631 \tabularnewline
129 & 111.6 & 109.618316877664 & 1.98168312233605 \tabularnewline
130 & 106.6 & 114.005103394001 & -7.40510339400115 \tabularnewline
131 & 107 & 102.314175791602 & 4.6858242083982 \tabularnewline
132 & 87.3 & 79.5706450470666 & 7.72935495293338 \tabularnewline
133 & 104.5 & 109.927148177306 & -5.42714817730553 \tabularnewline
134 & 102.8 & 106.712663518691 & -3.91266351869098 \tabularnewline
135 & 116.2 & 112.521307169179 & 3.67869283082059 \tabularnewline
136 & 103.4 & 107.729657262529 & -4.32965726252927 \tabularnewline
137 & 112.8 & 103.681797643616 & 9.11820235638351 \tabularnewline
138 & 103 & 116.730805438658 & -13.7308054386582 \tabularnewline
139 & 85.5 & 86.1684757415416 & -0.668475741541585 \tabularnewline
140 & 83.2 & 78.4582788093822 & 4.74172119061784 \tabularnewline
141 & 106.4 & 109.700484432394 & -3.30048443239363 \tabularnewline
142 & 98.2 & 109.174807932077 & -10.9748079320768 \tabularnewline
143 & 100.5 & 98.08625738764 & 2.41374261236001 \tabularnewline
144 & 75.5 & 76.0910436508551 & -0.591043650855127 \tabularnewline
145 & 101.3 & 96.4955829983807 & 4.80441700161929 \tabularnewline
146 & 105.2 & 99.2988722350917 & 5.90112776490831 \tabularnewline
147 & 112.7 & 111.997210203063 & 0.702789796937296 \tabularnewline
148 & 95.7 & 104.150473319171 & -8.45047331917135 \tabularnewline
149 & 99.3 & 100.298570548105 & -0.998570548105349 \tabularnewline
150 & 103 & 102.650968920483 & 0.349031079516607 \tabularnewline
151 & 88.4 & 83.2274404043424 & 5.17255959565757 \tabularnewline
152 & 78.5 & 79.7982236263863 & -1.29822362638633 \tabularnewline
153 & 97 & 105.068521546471 & -8.06852154647115 \tabularnewline
154 & 106.4 & 100.238976448398 & 6.16102355160166 \tabularnewline
155 & 94.7 & 101.342770702934 & -6.64277070293426 \tabularnewline
156 & 73.7 & 74.2188957715354 & -0.518895771535426 \tabularnewline
157 & 101.5 & 95.2039988366837 & 6.2960011633163 \tabularnewline
158 & 100.5 & 99.0184403395757 & 1.48155966042428 \tabularnewline
159 & 102.1 & 107.891066989372 & -5.79106698937244 \tabularnewline
160 & 101.4 & 95.2200032387401 & 6.1799967612599 \tabularnewline
161 & 98.6 & 101.076670385516 & -2.476670385516 \tabularnewline
162 & 104.7 & 102.868303052066 & 1.83169694793355 \tabularnewline
163 & 87.6 & 85.0145766705339 & 2.58542332946605 \tabularnewline
164 & 76 & 78.9157683798058 & -2.91576837980584 \tabularnewline
165 & 102.9 & 101.392895205033 & 1.50710479496709 \tabularnewline
166 & 107.8 & 104.786843566046 & 3.01315643395442 \tabularnewline
167 & 96 & 101.481047023111 & -5.48104702311126 \tabularnewline
168 & 69.6 & 75.7322405028344 & -6.13224050283438 \tabularnewline
169 & 105.4 & 94.3876338312707 & 11.0123661687293 \tabularnewline
170 & 100.5 & 99.8989115394623 & 0.601088460537696 \tabularnewline
171 & 100.4 & 106.817080961252 & -6.41708096125214 \tabularnewline
172 & 101.8 & 96.1258465224291 & 5.67415347757085 \tabularnewline
173 & 94.9 & 99.9841082852468 & -5.08410828524678 \tabularnewline
174 & 100.5 & 101.068855447105 & -0.568855447104781 \tabularnewline
175 & 89.4 & 82.6344581645512 & 6.7655418354488 \tabularnewline
176 & 75.9 & 77.8431723999113 & -1.94317239991129 \tabularnewline
177 & 109.1 & 101.749826486572 & 7.35017351342829 \tabularnewline
178 & 107.4 & 108.808764888537 & -1.40876488853674 \tabularnewline
179 & 86.6 & 101.255469727635 & -14.6554697276353 \tabularnewline
180 & 75.7 & 71.1739582606238 & 4.52604173937623 \tabularnewline
181 & 105.3 & 99.9999270524257 & 5.30007294757425 \tabularnewline
182 & 104.4 & 100.247289647527 & 4.1527103524726 \tabularnewline
183 & 119.5 & 107.852528441648 & 11.6474715583521 \tabularnewline
184 & 111.6 & 109.084545528569 & 2.51545447143107 \tabularnewline
185 & 105.7 & 108.882840217549 & -3.1828402175488 \tabularnewline
186 & 122.3 & 112.484565958559 & 9.81543404144109 \tabularnewline
187 & 97.7 & 98.3949582993063 & -0.694958299306251 \tabularnewline
188 & 82.4 & 86.4982372294809 & -4.09823722948094 \tabularnewline
189 & 113.4 & 113.718231741661 & -0.318231741660767 \tabularnewline
190 & 113.8 & 114.818552955364 & -1.01855295536434 \tabularnewline
191 & 103.1 & 104.047241826843 & -0.947241826843324 \tabularnewline
192 & 82.2 & 82.7328788764052 & -0.532878876405235 \tabularnewline
193 & 104.5 & 111.617695335853 & -7.11769533585264 \tabularnewline
194 & 104.8 & 104.544013351112 & 0.255986648888268 \tabularnewline
195 & 110.7 & 111.386869851276 & -0.686869851275517 \tabularnewline
196 & 110.6 & 104.22885531878 & 6.37114468122002 \tabularnewline
197 & 103.9 & 105.138454608303 & -1.2384546083031 \tabularnewline
198 & 111.9 & 112.148136316819 & -0.248136316819142 \tabularnewline
199 & 82.8 & 91.7629823558557 & -8.96298235585574 \tabularnewline
200 & 81.4 & 75.9106877748024 & 5.48931222519761 \tabularnewline
201 & 108.3 & 107.661187331493 & 0.638812668507441 \tabularnewline
202 & 103.9 & 109.101380395423 & -5.20138039542348 \tabularnewline
203 & 105.3 & 96.690161643662 & 8.60983835633799 \tabularnewline
204 & 86 & 81.1862064076999 & 4.81379359230014 \tabularnewline
205 & 109.9 & 112.257448481615 & -2.35744848161546 \tabularnewline
206 & 103.9 & 109.24036615217 & -5.34036615216986 \tabularnewline
207 & 120.5 & 112.847706800339 & 7.65229319966055 \tabularnewline
208 & 102.6 & 111.419236214095 & -8.81923621409484 \tabularnewline
209 & 110.7 & 102.39306265895 & 8.30693734105016 \tabularnewline
210 & 116.8 & 115.179837372142 & 1.62016262785826 \tabularnewline
211 & 86.7 & 93.2164053164672 & -6.51640531646721 \tabularnewline
212 & 90.1 & 81.109861517253 & 8.99013848274704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308832&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]80.9[/C][C]79.8386651968274[/C][C]1.06133480317261[/C][/ROW]
[ROW][C]14[/C][C]76.7[/C][C]76.3705622534554[/C][C]0.329437746544627[/C][/ROW]
[ROW][C]15[/C][C]82.6[/C][C]83.0175413956961[/C][C]-0.417541395696105[/C][/ROW]
[ROW][C]16[/C][C]74.6[/C][C]75.1511790282742[/C][C]-0.551179028274191[/C][/ROW]
[ROW][C]17[/C][C]78.6[/C][C]79.3351986783691[/C][C]-0.73519867836913[/C][/ROW]
[ROW][C]18[/C][C]79[/C][C]79.5998423096158[/C][C]-0.599842309615781[/C][/ROW]
[ROW][C]19[/C][C]64.4[/C][C]60.7903536695278[/C][C]3.60964633047222[/C][/ROW]
[ROW][C]20[/C][C]64[/C][C]73.0850002280151[/C][C]-9.08500022801508[/C][/ROW]
[ROW][C]21[/C][C]77.9[/C][C]79.197737128422[/C][C]-1.29773712842204[/C][/ROW]
[ROW][C]22[/C][C]83.8[/C][C]82.061468332195[/C][C]1.73853166780501[/C][/ROW]
[ROW][C]23[/C][C]74.2[/C][C]76.974438837296[/C][C]-2.77443883729603[/C][/ROW]
[ROW][C]24[/C][C]51.7[/C][C]47.5769978864086[/C][C]4.12300211359136[/C][/ROW]
[ROW][C]25[/C][C]79.9[/C][C]77.7145267251068[/C][C]2.18547327489321[/C][/ROW]
[ROW][C]26[/C][C]74.8[/C][C]74.8209557119779[/C][C]-0.0209557119779049[/C][/ROW]
[ROW][C]27[/C][C]78[/C][C]80.9725442144043[/C][C]-2.97254421440425[/C][/ROW]
[ROW][C]28[/C][C]78.4[/C][C]71.9553743904098[/C][C]6.44462560959019[/C][/ROW]
[ROW][C]29[/C][C]77.3[/C][C]80.0841878761629[/C][C]-2.78418787616287[/C][/ROW]
[ROW][C]30[/C][C]77.9[/C][C]79.2211737763752[/C][C]-1.3211737763752[/C][/ROW]
[ROW][C]31[/C][C]72[/C][C]60.9596539140516[/C][C]11.0403460859484[/C][/ROW]
[ROW][C]32[/C][C]66.4[/C][C]75.2387754950259[/C][C]-8.83877549502589[/C][/ROW]
[ROW][C]33[/C][C]83.5[/C][C]83.8103461416664[/C][C]-0.310346141666372[/C][/ROW]
[ROW][C]34[/C][C]85.1[/C][C]88.1188171296438[/C][C]-3.01881712964381[/C][/ROW]
[ROW][C]35[/C][C]74.8[/C][C]79.2089469756447[/C][C]-4.40894697564471[/C][/ROW]
[ROW][C]36[/C][C]56.1[/C][C]49.5542118779378[/C][C]6.54578812206219[/C][/ROW]
[ROW][C]37[/C][C]75.3[/C][C]82.0368222760548[/C][C]-6.73682227605481[/C][/ROW]
[ROW][C]38[/C][C]75.3[/C][C]73.7594888446289[/C][C]1.54051115537112[/C][/ROW]
[ROW][C]39[/C][C]75.4[/C][C]80.1818186494696[/C][C]-4.78181864946956[/C][/ROW]
[ROW][C]40[/C][C]76.7[/C][C]72.0248991046887[/C][C]4.67510089531129[/C][/ROW]
[ROW][C]41[/C][C]72.3[/C][C]77.254269956373[/C][C]-4.95426995637304[/C][/ROW]
[ROW][C]42[/C][C]78.1[/C][C]75.4092301278727[/C][C]2.69076987212729[/C][/ROW]
[ROW][C]43[/C][C]69.4[/C][C]61.8854418357277[/C][C]7.5145581642723[/C][/ROW]
[ROW][C]44[/C][C]55[/C][C]69.9587205936088[/C][C]-14.9587205936088[/C][/ROW]
[ROW][C]45[/C][C]79.9[/C][C]75.2107969058702[/C][C]4.68920309412985[/C][/ROW]
[ROW][C]46[/C][C]88.6[/C][C]81.507375397354[/C][C]7.09262460264597[/C][/ROW]
[ROW][C]47[/C][C]72.2[/C][C]78.0061884007787[/C][C]-5.80618840077867[/C][/ROW]
[ROW][C]48[/C][C]59.2[/C][C]50.0024650910069[/C][C]9.1975349089931[/C][/ROW]
[ROW][C]49[/C][C]77.9[/C][C]81.6106818191256[/C][C]-3.71068181912561[/C][/ROW]
[ROW][C]50[/C][C]77.8[/C][C]76.5641613935178[/C][C]1.23583860648218[/C][/ROW]
[ROW][C]51[/C][C]90.4[/C][C]81.6748221380902[/C][C]8.72517786190984[/C][/ROW]
[ROW][C]52[/C][C]87.4[/C][C]82.4685013044396[/C][C]4.93149869556045[/C][/ROW]
[ROW][C]53[/C][C]82.9[/C][C]86.0078435919496[/C][C]-3.10784359194956[/C][/ROW]
[ROW][C]54[/C][C]97.5[/C][C]87.0624634119242[/C][C]10.4375365880758[/C][/ROW]
[ROW][C]55[/C][C]75.8[/C][C]75.9259138075539[/C][C]-0.125913807553914[/C][/ROW]
[ROW][C]56[/C][C]74[/C][C]74.7735115852049[/C][C]-0.773511585204886[/C][/ROW]
[ROW][C]57[/C][C]95.5[/C][C]96.5464580309819[/C][C]-1.04645803098187[/C][/ROW]
[ROW][C]58[/C][C]95.6[/C][C]100.937135474914[/C][C]-5.33713547491352[/C][/ROW]
[ROW][C]59[/C][C]95.8[/C][C]86.5946471888855[/C][C]9.20535281111448[/C][/ROW]
[ROW][C]60[/C][C]75.5[/C][C]64.4019404402642[/C][C]11.0980595597358[/C][/ROW]
[ROW][C]61[/C][C]89.9[/C][C]100.264225690175[/C][C]-10.3642256901748[/C][/ROW]
[ROW][C]62[/C][C]91.8[/C][C]92.0712556607502[/C][C]-0.271255660750157[/C][/ROW]
[ROW][C]63[/C][C]97[/C][C]98.8051037997999[/C][C]-1.80510379979985[/C][/ROW]
[ROW][C]64[/C][C]95.7[/C][C]92.3879736778068[/C][C]3.3120263221932[/C][/ROW]
[ROW][C]65[/C][C]86[/C][C]93.3540013614241[/C][C]-7.35400136142414[/C][/ROW]
[ROW][C]66[/C][C]93.3[/C][C]94.9192064902156[/C][C]-1.61920649021557[/C][/ROW]
[ROW][C]67[/C][C]68.7[/C][C]75.1249178595619[/C][C]-6.42491785956187[/C][/ROW]
[ROW][C]68[/C][C]64.5[/C][C]70.3701349611352[/C][C]-5.87013496113516[/C][/ROW]
[ROW][C]69[/C][C]91[/C][C]87.0915549887263[/C][C]3.90844501127366[/C][/ROW]
[ROW][C]70[/C][C]84.9[/C][C]93.1065899012496[/C][C]-8.20658990124959[/C][/ROW]
[ROW][C]71[/C][C]97.3[/C][C]80.6468702007364[/C][C]16.6531297992636[/C][/ROW]
[ROW][C]72[/C][C]70.2[/C][C]63.8542291880703[/C][C]6.34577081192973[/C][/ROW]
[ROW][C]73[/C][C]100.9[/C][C]90.8178882539467[/C][C]10.0821117460533[/C][/ROW]
[ROW][C]74[/C][C]99.7[/C][C]96.0844271024472[/C][C]3.61557289755285[/C][/ROW]
[ROW][C]75[/C][C]121.3[/C][C]105.150327399864[/C][C]16.1496726001362[/C][/ROW]
[ROW][C]76[/C][C]102.8[/C][C]109.069337905667[/C][C]-6.26933790566734[/C][/ROW]
[ROW][C]77[/C][C]111.8[/C][C]102.152820698648[/C][C]9.64717930135235[/C][/ROW]
[ROW][C]78[/C][C]117.6[/C][C]115.953346799687[/C][C]1.64665320031338[/C][/ROW]
[ROW][C]79[/C][C]80.7[/C][C]92.0783459423561[/C][C]-11.3783459423561[/C][/ROW]
[ROW][C]80[/C][C]81.6[/C][C]84.3677297302317[/C][C]-2.76772973023172[/C][/ROW]
[ROW][C]81[/C][C]99.5[/C][C]110.379492108484[/C][C]-10.8794921084843[/C][/ROW]
[ROW][C]82[/C][C]108.3[/C][C]105.846594664719[/C][C]2.45340533528061[/C][/ROW]
[ROW][C]83[/C][C]107.5[/C][C]103.173993078222[/C][C]4.32600692177782[/C][/ROW]
[ROW][C]84[/C][C]84.4[/C][C]73.6382251926125[/C][C]10.7617748073875[/C][/ROW]
[ROW][C]85[/C][C]115.6[/C][C]107.568080915707[/C][C]8.03191908429291[/C][/ROW]
[ROW][C]86[/C][C]109.8[/C][C]110.174353314481[/C][C]-0.374353314481084[/C][/ROW]
[ROW][C]87[/C][C]116.9[/C][C]120.264115140104[/C][C]-3.36411514010447[/C][/ROW]
[ROW][C]88[/C][C]106.8[/C][C]108.689270657429[/C][C]-1.88927065742891[/C][/ROW]
[ROW][C]89[/C][C]112.9[/C][C]107.26025130357[/C][C]5.63974869643042[/C][/ROW]
[ROW][C]90[/C][C]113.9[/C][C]117.293184323265[/C][C]-3.39318432326543[/C][/ROW]
[ROW][C]91[/C][C]94.9[/C][C]88.2828467194528[/C][C]6.61715328054719[/C][/ROW]
[ROW][C]92[/C][C]85.1[/C][C]92.4108102481828[/C][C]-7.31081024818278[/C][/ROW]
[ROW][C]93[/C][C]101[/C][C]116.051419206673[/C][C]-15.0514192066733[/C][/ROW]
[ROW][C]94[/C][C]109.7[/C][C]112.020756933655[/C][C]-2.32075693365462[/C][/ROW]
[ROW][C]95[/C][C]104.1[/C][C]106.913683837926[/C][C]-2.81368383792591[/C][/ROW]
[ROW][C]96[/C][C]76.7[/C][C]74.7967145254264[/C][C]1.90328547457362[/C][/ROW]
[ROW][C]97[/C][C]116.5[/C][C]101.163115651917[/C][C]15.3368843480829[/C][/ROW]
[ROW][C]98[/C][C]121.7[/C][C]106.338580396938[/C][C]15.3614196030618[/C][/ROW]
[ROW][C]99[/C][C]117.9[/C][C]125.123119057426[/C][C]-7.22311905742565[/C][/ROW]
[ROW][C]100[/C][C]133.3[/C][C]111.40125884662[/C][C]21.8987411533803[/C][/ROW]
[ROW][C]101[/C][C]117.8[/C][C]124.965145133795[/C][C]-7.16514513379505[/C][/ROW]
[ROW][C]102[/C][C]129.8[/C][C]126.451060964886[/C][C]3.34893903511377[/C][/ROW]
[ROW][C]103[/C][C]109.1[/C][C]100.164455337206[/C][C]8.9355446627936[/C][/ROW]
[ROW][C]104[/C][C]88[/C][C]102.491486804967[/C][C]-14.4914868049666[/C][/ROW]
[ROW][C]105[/C][C]120.1[/C][C]122.589312501405[/C][C]-2.48931250140471[/C][/ROW]
[ROW][C]106[/C][C]118.4[/C][C]129.22573316856[/C][C]-10.8257331685605[/C][/ROW]
[ROW][C]107[/C][C]89.7[/C][C]118.78866050316[/C][C]-29.0886605031596[/C][/ROW]
[ROW][C]108[/C][C]71.4[/C][C]73.4901908018519[/C][C]-2.0901908018519[/C][/ROW]
[ROW][C]109[/C][C]75.9[/C][C]98.5881418619417[/C][C]-22.6881418619417[/C][/ROW]
[ROW][C]110[/C][C]75.2[/C][C]83.0329954257035[/C][C]-7.83299542570352[/C][/ROW]
[ROW][C]111[/C][C]79.2[/C][C]82.3769906646798[/C][C]-3.17699066467983[/C][/ROW]
[ROW][C]112[/C][C]70.8[/C][C]77.6250616203737[/C][C]-6.82506162037366[/C][/ROW]
[ROW][C]113[/C][C]73.7[/C][C]71.1594754708581[/C][C]2.54052452914192[/C][/ROW]
[ROW][C]114[/C][C]79.4[/C][C]77.149620361756[/C][C]2.25037963824406[/C][/ROW]
[ROW][C]115[/C][C]68.5[/C][C]61.8804819000004[/C][C]6.6195180999996[/C][/ROW]
[ROW][C]116[/C][C]66.5[/C][C]60.9448807832444[/C][C]5.55511921675564[/C][/ROW]
[ROW][C]117[/C][C]93[/C][C]85.4623572731313[/C][C]7.53764272686874[/C][/ROW]
[ROW][C]118[/C][C]91.9[/C][C]94.3483639497729[/C][C]-2.44836394977285[/C][/ROW]
[ROW][C]119[/C][C]86.1[/C][C]86.1462303916733[/C][C]-0.0462303916733333[/C][/ROW]
[ROW][C]120[/C][C]66.2[/C][C]65.0549851446188[/C][C]1.14501485538123[/C][/ROW]
[ROW][C]121[/C][C]90.4[/C][C]85.38809802382[/C][C]5.01190197618001[/C][/ROW]
[ROW][C]122[/C][C]92.4[/C][C]88.2411621727717[/C][C]4.15883782722833[/C][/ROW]
[ROW][C]123[/C][C]108.8[/C][C]96.0529730416481[/C][C]12.7470269583519[/C][/ROW]
[ROW][C]124[/C][C]103.6[/C][C]98.3932337661013[/C][C]5.20676623389872[/C][/ROW]
[ROW][C]125[/C][C]103[/C][C]100.234905627326[/C][C]2.76509437267433[/C][/ROW]
[ROW][C]126[/C][C]117.1[/C][C]108.088191422651[/C][C]9.01180857734859[/C][/ROW]
[ROW][C]127[/C][C]91.9[/C][C]90.5854604548757[/C][C]1.31453954512433[/C][/ROW]
[ROW][C]128[/C][C]80.3[/C][C]84.6355083044463[/C][C]-4.33550830444631[/C][/ROW]
[ROW][C]129[/C][C]111.6[/C][C]109.618316877664[/C][C]1.98168312233605[/C][/ROW]
[ROW][C]130[/C][C]106.6[/C][C]114.005103394001[/C][C]-7.40510339400115[/C][/ROW]
[ROW][C]131[/C][C]107[/C][C]102.314175791602[/C][C]4.6858242083982[/C][/ROW]
[ROW][C]132[/C][C]87.3[/C][C]79.5706450470666[/C][C]7.72935495293338[/C][/ROW]
[ROW][C]133[/C][C]104.5[/C][C]109.927148177306[/C][C]-5.42714817730553[/C][/ROW]
[ROW][C]134[/C][C]102.8[/C][C]106.712663518691[/C][C]-3.91266351869098[/C][/ROW]
[ROW][C]135[/C][C]116.2[/C][C]112.521307169179[/C][C]3.67869283082059[/C][/ROW]
[ROW][C]136[/C][C]103.4[/C][C]107.729657262529[/C][C]-4.32965726252927[/C][/ROW]
[ROW][C]137[/C][C]112.8[/C][C]103.681797643616[/C][C]9.11820235638351[/C][/ROW]
[ROW][C]138[/C][C]103[/C][C]116.730805438658[/C][C]-13.7308054386582[/C][/ROW]
[ROW][C]139[/C][C]85.5[/C][C]86.1684757415416[/C][C]-0.668475741541585[/C][/ROW]
[ROW][C]140[/C][C]83.2[/C][C]78.4582788093822[/C][C]4.74172119061784[/C][/ROW]
[ROW][C]141[/C][C]106.4[/C][C]109.700484432394[/C][C]-3.30048443239363[/C][/ROW]
[ROW][C]142[/C][C]98.2[/C][C]109.174807932077[/C][C]-10.9748079320768[/C][/ROW]
[ROW][C]143[/C][C]100.5[/C][C]98.08625738764[/C][C]2.41374261236001[/C][/ROW]
[ROW][C]144[/C][C]75.5[/C][C]76.0910436508551[/C][C]-0.591043650855127[/C][/ROW]
[ROW][C]145[/C][C]101.3[/C][C]96.4955829983807[/C][C]4.80441700161929[/C][/ROW]
[ROW][C]146[/C][C]105.2[/C][C]99.2988722350917[/C][C]5.90112776490831[/C][/ROW]
[ROW][C]147[/C][C]112.7[/C][C]111.997210203063[/C][C]0.702789796937296[/C][/ROW]
[ROW][C]148[/C][C]95.7[/C][C]104.150473319171[/C][C]-8.45047331917135[/C][/ROW]
[ROW][C]149[/C][C]99.3[/C][C]100.298570548105[/C][C]-0.998570548105349[/C][/ROW]
[ROW][C]150[/C][C]103[/C][C]102.650968920483[/C][C]0.349031079516607[/C][/ROW]
[ROW][C]151[/C][C]88.4[/C][C]83.2274404043424[/C][C]5.17255959565757[/C][/ROW]
[ROW][C]152[/C][C]78.5[/C][C]79.7982236263863[/C][C]-1.29822362638633[/C][/ROW]
[ROW][C]153[/C][C]97[/C][C]105.068521546471[/C][C]-8.06852154647115[/C][/ROW]
[ROW][C]154[/C][C]106.4[/C][C]100.238976448398[/C][C]6.16102355160166[/C][/ROW]
[ROW][C]155[/C][C]94.7[/C][C]101.342770702934[/C][C]-6.64277070293426[/C][/ROW]
[ROW][C]156[/C][C]73.7[/C][C]74.2188957715354[/C][C]-0.518895771535426[/C][/ROW]
[ROW][C]157[/C][C]101.5[/C][C]95.2039988366837[/C][C]6.2960011633163[/C][/ROW]
[ROW][C]158[/C][C]100.5[/C][C]99.0184403395757[/C][C]1.48155966042428[/C][/ROW]
[ROW][C]159[/C][C]102.1[/C][C]107.891066989372[/C][C]-5.79106698937244[/C][/ROW]
[ROW][C]160[/C][C]101.4[/C][C]95.2200032387401[/C][C]6.1799967612599[/C][/ROW]
[ROW][C]161[/C][C]98.6[/C][C]101.076670385516[/C][C]-2.476670385516[/C][/ROW]
[ROW][C]162[/C][C]104.7[/C][C]102.868303052066[/C][C]1.83169694793355[/C][/ROW]
[ROW][C]163[/C][C]87.6[/C][C]85.0145766705339[/C][C]2.58542332946605[/C][/ROW]
[ROW][C]164[/C][C]76[/C][C]78.9157683798058[/C][C]-2.91576837980584[/C][/ROW]
[ROW][C]165[/C][C]102.9[/C][C]101.392895205033[/C][C]1.50710479496709[/C][/ROW]
[ROW][C]166[/C][C]107.8[/C][C]104.786843566046[/C][C]3.01315643395442[/C][/ROW]
[ROW][C]167[/C][C]96[/C][C]101.481047023111[/C][C]-5.48104702311126[/C][/ROW]
[ROW][C]168[/C][C]69.6[/C][C]75.7322405028344[/C][C]-6.13224050283438[/C][/ROW]
[ROW][C]169[/C][C]105.4[/C][C]94.3876338312707[/C][C]11.0123661687293[/C][/ROW]
[ROW][C]170[/C][C]100.5[/C][C]99.8989115394623[/C][C]0.601088460537696[/C][/ROW]
[ROW][C]171[/C][C]100.4[/C][C]106.817080961252[/C][C]-6.41708096125214[/C][/ROW]
[ROW][C]172[/C][C]101.8[/C][C]96.1258465224291[/C][C]5.67415347757085[/C][/ROW]
[ROW][C]173[/C][C]94.9[/C][C]99.9841082852468[/C][C]-5.08410828524678[/C][/ROW]
[ROW][C]174[/C][C]100.5[/C][C]101.068855447105[/C][C]-0.568855447104781[/C][/ROW]
[ROW][C]175[/C][C]89.4[/C][C]82.6344581645512[/C][C]6.7655418354488[/C][/ROW]
[ROW][C]176[/C][C]75.9[/C][C]77.8431723999113[/C][C]-1.94317239991129[/C][/ROW]
[ROW][C]177[/C][C]109.1[/C][C]101.749826486572[/C][C]7.35017351342829[/C][/ROW]
[ROW][C]178[/C][C]107.4[/C][C]108.808764888537[/C][C]-1.40876488853674[/C][/ROW]
[ROW][C]179[/C][C]86.6[/C][C]101.255469727635[/C][C]-14.6554697276353[/C][/ROW]
[ROW][C]180[/C][C]75.7[/C][C]71.1739582606238[/C][C]4.52604173937623[/C][/ROW]
[ROW][C]181[/C][C]105.3[/C][C]99.9999270524257[/C][C]5.30007294757425[/C][/ROW]
[ROW][C]182[/C][C]104.4[/C][C]100.247289647527[/C][C]4.1527103524726[/C][/ROW]
[ROW][C]183[/C][C]119.5[/C][C]107.852528441648[/C][C]11.6474715583521[/C][/ROW]
[ROW][C]184[/C][C]111.6[/C][C]109.084545528569[/C][C]2.51545447143107[/C][/ROW]
[ROW][C]185[/C][C]105.7[/C][C]108.882840217549[/C][C]-3.1828402175488[/C][/ROW]
[ROW][C]186[/C][C]122.3[/C][C]112.484565958559[/C][C]9.81543404144109[/C][/ROW]
[ROW][C]187[/C][C]97.7[/C][C]98.3949582993063[/C][C]-0.694958299306251[/C][/ROW]
[ROW][C]188[/C][C]82.4[/C][C]86.4982372294809[/C][C]-4.09823722948094[/C][/ROW]
[ROW][C]189[/C][C]113.4[/C][C]113.718231741661[/C][C]-0.318231741660767[/C][/ROW]
[ROW][C]190[/C][C]113.8[/C][C]114.818552955364[/C][C]-1.01855295536434[/C][/ROW]
[ROW][C]191[/C][C]103.1[/C][C]104.047241826843[/C][C]-0.947241826843324[/C][/ROW]
[ROW][C]192[/C][C]82.2[/C][C]82.7328788764052[/C][C]-0.532878876405235[/C][/ROW]
[ROW][C]193[/C][C]104.5[/C][C]111.617695335853[/C][C]-7.11769533585264[/C][/ROW]
[ROW][C]194[/C][C]104.8[/C][C]104.544013351112[/C][C]0.255986648888268[/C][/ROW]
[ROW][C]195[/C][C]110.7[/C][C]111.386869851276[/C][C]-0.686869851275517[/C][/ROW]
[ROW][C]196[/C][C]110.6[/C][C]104.22885531878[/C][C]6.37114468122002[/C][/ROW]
[ROW][C]197[/C][C]103.9[/C][C]105.138454608303[/C][C]-1.2384546083031[/C][/ROW]
[ROW][C]198[/C][C]111.9[/C][C]112.148136316819[/C][C]-0.248136316819142[/C][/ROW]
[ROW][C]199[/C][C]82.8[/C][C]91.7629823558557[/C][C]-8.96298235585574[/C][/ROW]
[ROW][C]200[/C][C]81.4[/C][C]75.9106877748024[/C][C]5.48931222519761[/C][/ROW]
[ROW][C]201[/C][C]108.3[/C][C]107.661187331493[/C][C]0.638812668507441[/C][/ROW]
[ROW][C]202[/C][C]103.9[/C][C]109.101380395423[/C][C]-5.20138039542348[/C][/ROW]
[ROW][C]203[/C][C]105.3[/C][C]96.690161643662[/C][C]8.60983835633799[/C][/ROW]
[ROW][C]204[/C][C]86[/C][C]81.1862064076999[/C][C]4.81379359230014[/C][/ROW]
[ROW][C]205[/C][C]109.9[/C][C]112.257448481615[/C][C]-2.35744848161546[/C][/ROW]
[ROW][C]206[/C][C]103.9[/C][C]109.24036615217[/C][C]-5.34036615216986[/C][/ROW]
[ROW][C]207[/C][C]120.5[/C][C]112.847706800339[/C][C]7.65229319966055[/C][/ROW]
[ROW][C]208[/C][C]102.6[/C][C]111.419236214095[/C][C]-8.81923621409484[/C][/ROW]
[ROW][C]209[/C][C]110.7[/C][C]102.39306265895[/C][C]8.30693734105016[/C][/ROW]
[ROW][C]210[/C][C]116.8[/C][C]115.179837372142[/C][C]1.62016262785826[/C][/ROW]
[ROW][C]211[/C][C]86.7[/C][C]93.2164053164672[/C][C]-6.51640531646721[/C][/ROW]
[ROW][C]212[/C][C]90.1[/C][C]81.109861517253[/C][C]8.99013848274704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308832&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308832&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
1380.979.83866519682741.06133480317261
1476.776.37056225345540.329437746544627
1582.683.0175413956961-0.417541395696105
1674.675.1511790282742-0.551179028274191
1778.679.3351986783691-0.73519867836913
187979.5998423096158-0.599842309615781
1964.460.79035366952783.60964633047222
206473.0850002280151-9.08500022801508
2177.979.197737128422-1.29773712842204
2283.882.0614683321951.73853166780501
2374.276.974438837296-2.77443883729603
2451.747.57699788640864.12300211359136
2579.977.71452672510682.18547327489321
2674.874.8209557119779-0.0209557119779049
277880.9725442144043-2.97254421440425
2878.471.95537439040986.44462560959019
2977.380.0841878761629-2.78418787616287
3077.979.2211737763752-1.3211737763752
317260.959653914051611.0403460859484
3266.475.2387754950259-8.83877549502589
3383.583.8103461416664-0.310346141666372
3485.188.1188171296438-3.01881712964381
3574.879.2089469756447-4.40894697564471
3656.149.55421187793786.54578812206219
3775.382.0368222760548-6.73682227605481
3875.373.75948884462891.54051115537112
3975.480.1818186494696-4.78181864946956
4076.772.02489910468874.67510089531129
4172.377.254269956373-4.95426995637304
4278.175.40923012787272.69076987212729
4369.461.88544183572777.5145581642723
445569.9587205936088-14.9587205936088
4579.975.21079690587024.68920309412985
4688.681.5073753973547.09262460264597
4772.278.0061884007787-5.80618840077867
4859.250.00246509100699.1975349089931
4977.981.6106818191256-3.71068181912561
5077.876.56416139351781.23583860648218
5190.481.67482213809028.72517786190984
5287.482.46850130443964.93149869556045
5382.986.0078435919496-3.10784359194956
5497.587.062463411924210.4375365880758
5575.875.9259138075539-0.125913807553914
567474.7735115852049-0.773511585204886
5795.596.5464580309819-1.04645803098187
5895.6100.937135474914-5.33713547491352
5995.886.59464718888559.20535281111448
6075.564.401940440264211.0980595597358
6189.9100.264225690175-10.3642256901748
6291.892.0712556607502-0.271255660750157
639798.8051037997999-1.80510379979985
6495.792.38797367780683.3120263221932
658693.3540013614241-7.35400136142414
6693.394.9192064902156-1.61920649021557
6768.775.1249178595619-6.42491785956187
6864.570.3701349611352-5.87013496113516
699187.09155498872633.90844501127366
7084.993.1065899012496-8.20658990124959
7197.380.646870200736416.6531297992636
7270.263.85422918807036.34577081192973
73100.990.817888253946710.0821117460533
7499.796.08442710244723.61557289755285
75121.3105.15032739986416.1496726001362
76102.8109.069337905667-6.26933790566734
77111.8102.1528206986489.64717930135235
78117.6115.9533467996871.64665320031338
7980.792.0783459423561-11.3783459423561
8081.684.3677297302317-2.76772973023172
8199.5110.379492108484-10.8794921084843
82108.3105.8465946647192.45340533528061
83107.5103.1739930782224.32600692177782
8484.473.638225192612510.7617748073875
85115.6107.5680809157078.03191908429291
86109.8110.174353314481-0.374353314481084
87116.9120.264115140104-3.36411514010447
88106.8108.689270657429-1.88927065742891
89112.9107.260251303575.63974869643042
90113.9117.293184323265-3.39318432326543
9194.988.28284671945286.61715328054719
9285.192.4108102481828-7.31081024818278
93101116.051419206673-15.0514192066733
94109.7112.020756933655-2.32075693365462
95104.1106.913683837926-2.81368383792591
9676.774.79671452542641.90328547457362
97116.5101.16311565191715.3368843480829
98121.7106.33858039693815.3614196030618
99117.9125.123119057426-7.22311905742565
100133.3111.4012588466221.8987411533803
101117.8124.965145133795-7.16514513379505
102129.8126.4510609648863.34893903511377
103109.1100.1644553372068.9355446627936
10488102.491486804967-14.4914868049666
105120.1122.589312501405-2.48931250140471
106118.4129.22573316856-10.8257331685605
10789.7118.78866050316-29.0886605031596
10871.473.4901908018519-2.0901908018519
10975.998.5881418619417-22.6881418619417
11075.283.0329954257035-7.83299542570352
11179.282.3769906646798-3.17699066467983
11270.877.6250616203737-6.82506162037366
11373.771.15947547085812.54052452914192
11479.477.1496203617562.25037963824406
11568.561.88048190000046.6195180999996
11666.560.94488078324445.55511921675564
1179385.46235727313137.53764272686874
11891.994.3483639497729-2.44836394977285
11986.186.1462303916733-0.0462303916733333
12066.265.05498514461881.14501485538123
12190.485.388098023825.01190197618001
12292.488.24116217277174.15883782722833
123108.896.052973041648112.7470269583519
124103.698.39323376610135.20676623389872
125103100.2349056273262.76509437267433
126117.1108.0881914226519.01180857734859
12791.990.58546045487571.31453954512433
12880.384.6355083044463-4.33550830444631
129111.6109.6183168776641.98168312233605
130106.6114.005103394001-7.40510339400115
131107102.3141757916024.6858242083982
13287.379.57064504706667.72935495293338
133104.5109.927148177306-5.42714817730553
134102.8106.712663518691-3.91266351869098
135116.2112.5213071691793.67869283082059
136103.4107.729657262529-4.32965726252927
137112.8103.6817976436169.11820235638351
138103116.730805438658-13.7308054386582
13985.586.1684757415416-0.668475741541585
14083.278.45827880938224.74172119061784
141106.4109.700484432394-3.30048443239363
14298.2109.174807932077-10.9748079320768
143100.598.086257387642.41374261236001
14475.576.0910436508551-0.591043650855127
145101.396.49558299838074.80441700161929
146105.299.29887223509175.90112776490831
147112.7111.9972102030630.702789796937296
14895.7104.150473319171-8.45047331917135
14999.3100.298570548105-0.998570548105349
150103102.6509689204830.349031079516607
15188.483.22744040434245.17255959565757
15278.579.7982236263863-1.29822362638633
15397105.068521546471-8.06852154647115
154106.4100.2389764483986.16102355160166
15594.7101.342770702934-6.64277070293426
15673.774.2188957715354-0.518895771535426
157101.595.20399883668376.2960011633163
158100.599.01844033957571.48155966042428
159102.1107.891066989372-5.79106698937244
160101.495.22000323874016.1799967612599
16198.6101.076670385516-2.476670385516
162104.7102.8683030520661.83169694793355
16387.685.01457667053392.58542332946605
1647678.9157683798058-2.91576837980584
165102.9101.3928952050331.50710479496709
166107.8104.7868435660463.01315643395442
16796101.481047023111-5.48104702311126
16869.675.7322405028344-6.13224050283438
169105.494.387633831270711.0123661687293
170100.599.89891153946230.601088460537696
171100.4106.817080961252-6.41708096125214
172101.896.12584652242915.67415347757085
17394.999.9841082852468-5.08410828524678
174100.5101.068855447105-0.568855447104781
17589.482.63445816455126.7655418354488
17675.977.8431723999113-1.94317239991129
177109.1101.7498264865727.35017351342829
178107.4108.808764888537-1.40876488853674
17986.6101.255469727635-14.6554697276353
18075.771.17395826062384.52604173937623
181105.399.99992705242575.30007294757425
182104.4100.2472896475274.1527103524726
183119.5107.85252844164811.6474715583521
184111.6109.0845455285692.51545447143107
185105.7108.882840217549-3.1828402175488
186122.3112.4845659585599.81543404144109
18797.798.3949582993063-0.694958299306251
18882.486.4982372294809-4.09823722948094
189113.4113.718231741661-0.318231741660767
190113.8114.818552955364-1.01855295536434
191103.1104.047241826843-0.947241826843324
19282.282.7328788764052-0.532878876405235
193104.5111.617695335853-7.11769533585264
194104.8104.5440133511120.255986648888268
195110.7111.386869851276-0.686869851275517
196110.6104.228855318786.37114468122002
197103.9105.138454608303-1.2384546083031
198111.9112.148136316819-0.248136316819142
19982.891.7629823558557-8.96298235585574
20081.475.91068777480245.48931222519761
201108.3107.6611873314930.638812668507441
202103.9109.101380395423-5.20138039542348
203105.396.6901616436628.60983835633799
2048681.18620640769994.81379359230014
205109.9112.257448481615-2.35744848161546
206103.9109.24036615217-5.34036615216986
207120.5112.8477068003397.65229319966055
208102.6111.419236214095-8.81923621409484
209110.7102.393062658958.30693734105016
210116.8115.1798373721421.62016262785826
21186.793.2164053164672-6.51640531646721
21290.181.1098615172538.99013848274704







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213115.985601242333105.586230209341126.384972275325
214115.889250580573102.94837361186128.830127549287
215108.3453928144193.7849300790871122.905855549733
21686.181662437329471.6367409852834100.726583889375
217113.56038980764593.7833315781963133.337448037094
218111.18909638363690.2891139132659132.089078854006
219120.82217225251697.0110253064225144.633319198609
220111.60948385239788.1369056142466135.082062090547
221110.79071667431586.2204394634431135.360993885187
222117.72535050816490.6031880760179144.84751294031
22392.922072927131969.7557844013564116.088361452907
22487.1372847027548-19.9195481674775194.194117572987

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 115.985601242333 & 105.586230209341 & 126.384972275325 \tabularnewline
214 & 115.889250580573 & 102.94837361186 & 128.830127549287 \tabularnewline
215 & 108.34539281441 & 93.7849300790871 & 122.905855549733 \tabularnewline
216 & 86.1816624373294 & 71.6367409852834 & 100.726583889375 \tabularnewline
217 & 113.560389807645 & 93.7833315781963 & 133.337448037094 \tabularnewline
218 & 111.189096383636 & 90.2891139132659 & 132.089078854006 \tabularnewline
219 & 120.822172252516 & 97.0110253064225 & 144.633319198609 \tabularnewline
220 & 111.609483852397 & 88.1369056142466 & 135.082062090547 \tabularnewline
221 & 110.790716674315 & 86.2204394634431 & 135.360993885187 \tabularnewline
222 & 117.725350508164 & 90.6031880760179 & 144.84751294031 \tabularnewline
223 & 92.9220729271319 & 69.7557844013564 & 116.088361452907 \tabularnewline
224 & 87.1372847027548 & -19.9195481674775 & 194.194117572987 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308832&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]115.985601242333[/C][C]105.586230209341[/C][C]126.384972275325[/C][/ROW]
[ROW][C]214[/C][C]115.889250580573[/C][C]102.94837361186[/C][C]128.830127549287[/C][/ROW]
[ROW][C]215[/C][C]108.34539281441[/C][C]93.7849300790871[/C][C]122.905855549733[/C][/ROW]
[ROW][C]216[/C][C]86.1816624373294[/C][C]71.6367409852834[/C][C]100.726583889375[/C][/ROW]
[ROW][C]217[/C][C]113.560389807645[/C][C]93.7833315781963[/C][C]133.337448037094[/C][/ROW]
[ROW][C]218[/C][C]111.189096383636[/C][C]90.2891139132659[/C][C]132.089078854006[/C][/ROW]
[ROW][C]219[/C][C]120.822172252516[/C][C]97.0110253064225[/C][C]144.633319198609[/C][/ROW]
[ROW][C]220[/C][C]111.609483852397[/C][C]88.1369056142466[/C][C]135.082062090547[/C][/ROW]
[ROW][C]221[/C][C]110.790716674315[/C][C]86.2204394634431[/C][C]135.360993885187[/C][/ROW]
[ROW][C]222[/C][C]117.725350508164[/C][C]90.6031880760179[/C][C]144.84751294031[/C][/ROW]
[ROW][C]223[/C][C]92.9220729271319[/C][C]69.7557844013564[/C][C]116.088361452907[/C][/ROW]
[ROW][C]224[/C][C]87.1372847027548[/C][C]-19.9195481674775[/C][C]194.194117572987[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308832&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308832&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
213115.985601242333105.586230209341126.384972275325
214115.889250580573102.94837361186128.830127549287
215108.3453928144193.7849300790871122.905855549733
21686.181662437329471.6367409852834100.726583889375
217113.56038980764593.7833315781963133.337448037094
218111.18909638363690.2891139132659132.089078854006
219120.82217225251697.0110253064225144.633319198609
220111.60948385239788.1369056142466135.082062090547
221110.79071667431586.2204394634431135.360993885187
222117.72535050816490.6031880760179144.84751294031
22392.922072927131969.7557844013564116.088361452907
22487.1372847027548-19.9195481674775194.194117572987



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')