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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, 13 Dec 2017 14:26:43 +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/13/t1513171612nlt1x3ybpq13fbe.htm/, Retrieved Wed, 15 May 2024 23:01:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309294, Retrieved Wed, 15 May 2024 23:01:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-13 13:26:43] [c594df30d4ca3ffb9387e41ef17d0596] [Current]
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Dataseries X:
81.6
86.1
96.5
85.4
94.5
90
69.1
82.4
96.5
100
94.7
88.8
95.4
88.4
101.3
88.7
92.8
93.3
77.6
84.6
96.9
101.3
92.2
87.6
89.8
84.8
94.2
91.3
88.9
89.7
75.8
80.5
98
101.4
90.4
86.5
89.9
83.4
93.2
90.3
86.8
87.5
75.7
77.4
98
100.8
86.5
92
87.8
84.7
99.9
92.2
85.3
96.3
72.9
82.8
98.5
95.2
89.5
94
85
86
96.8
92.1
87.3
94.3
71
81.5
101.5
92.8
92.1
97.9
88.9
89.7
102.2
88.4
94.3
97.6
73.9
87.9
102.7
104.5
100.5
99.5
94.2
95.1
108.1
94.6
98
101.7
83.1
92.9
104.1
111.1
104.1
99
110.7
107.7
113.2
114.3
107.1
109.6
89.2
96.1
118.7
120.8
105
109.8
96.1
97.8
108.3
99.1
93.6
100.1
80.9
87.5
107.4
107.1
99.5
101.8
92
95.8
110
99.4
94.4
105.4
84.1
92.3
109.8
106.8
103.8
106.2
91.2
94.7
109.9
93.7
101.4
93.6
78.3
91.8
107.8
98.8
98.6
99.9
89.7
94.4
103.2
89.9
92.6
97.8
81.1
91.2
101.4
105.3
95.8
91.3
91.1
88.8
95.3
89.4
88.3
87.4
78.9
82.2
94.5
98.8
88.1
86.5
88.1
85.8
94
90.4
86.4
90.3
82.1
82.1
97.7
99.1
85.9
89.1
85.7
85.9
99.9
91.6
82.9
96.6
81.5
84
100.8
102
92.9
93.2
86.7
91.6
97.6
92.8
93.5
95.5
75.1
90.9
98.9
95.5
94.3
90.3
87.9
88.7
100.3
85.5
93
96
77.6
87.5




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=309294&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=309294&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309294&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
alpha0.197712871863816
beta0.202904912899238
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.197712871863816 \tabularnewline
beta & 0.202904912899238 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309294&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]0.197712871863816[/C][/ROW]
[ROW][C]beta[/C][C]0.202904912899238[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309294&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309294&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
alpha0.197712871863816
beta0.202904912899238
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
396.590.65.90000000000001
485.496.5031957309596-11.1031957309596
594.598.5992148654326-4.09921486543264
690101.915563325001-11.9155633250006
769.1103.208503465353-34.1085034653528
882.498.7452858078536-16.3452858078536
996.597.1383625175181-0.638362517518132
1010098.61129100545331.38870899454666
1194.7100.540708341491-5.84070834149065
1288.8100.806465625464-12.0064656254636
1395.499.3715109921375-3.97151099213751
1488.499.3658455535346-10.9658455535346
15101.397.537394269493.76260573051
1688.798.7718915138321-10.0718915138321
1792.896.8670773811484-4.06707738114838
1893.395.9863337060008-2.68633370600085
1977.695.2708134124822-17.6708134124822
2084.690.8837701177144-6.28377011771437
2196.988.49600639538828.40399360461181
22101.389.349344900523811.9506550994762
2392.291.38332742678930.816672573210667
2487.691.2487406751108-3.64874067511076
2589.890.0849080336622-0.284908033662163
2684.889.5747187734115-4.77471877341151
2794.287.98528915983476.21471084016531
2891.388.81792624967562.48207375032442
2988.989.0121460776706-0.11214607767063
3089.788.68895629878051.01104370121948
3175.888.628395548969-12.828395548969
3280.585.3169638912783-4.81696389127829
339883.39625367280514.603746327195
34101.485.901125066794315.4988749332057
3590.489.20474192614981.19525807385021
3686.589.7282996824169-3.22829968241689
3789.989.24775371319560.652246286804441
3883.489.56060773952-6.16060773951995
3993.288.27932826572264.92067173427738
4090.389.38636254070030.913637459299693
4186.889.7378068760244-2.9378068760244
4287.589.2099153480007-1.70991534800066
4375.788.8561972549904-13.1561972549904
4477.485.7116158727105-8.31161587271053
459883.191434217273714.8085657827263
46100.885.83648402076714.963515979233
4786.589.1124595419877-2.61245954198766
489288.80863465482123.19136534517875
4987.889.7803283799372-1.98032837993723
5084.789.6500670248428-4.95006702484278
5199.988.734068705178611.1659312948214
5292.291.45235339106390.747646608936108
5385.392.1408023658067-6.84080236580672
5496.391.05448542709695.24551457290315
5572.992.5682227725909-19.6682227725909
5682.888.3671651759369-5.56716517593686
5798.586.730730691766511.7692693082335
5895.288.99407921077716.20592078922292
5989.590.4064445015776-0.906444501577624
609490.37623986973993.62376013026008
618591.3870890758337-6.38708907583371
628690.1624342385318-4.16243423853184
6396.889.21063828561777.58936171438232
6492.190.88678542407151.21321457592848
6587.391.3509566240024-4.05095662400235
6694.390.61182154337963.68817845662043
677191.5507714197259-20.5507714197259
6881.586.8729353950124-5.37293539501238
69101.584.980407337387216.5195926626128
7092.888.07902893677224.72097106322775
7192.189.03430196133793.06569803866205
7297.989.7852925441368.11470745586398
7388.991.8600742922657-2.9600742922657
7489.791.6264800927193-1.92648009271934
75102.291.519956336345310.6800436636547
7688.494.3343549790307-5.93435497903067
7794.393.62580514911090.674194850889066
7897.694.2508973011283.34910269887203
7973.995.5392088274888-21.6392088274888
8087.991.0189112600592-3.11891126005915
81102.790.035193820644912.6648061793551
82104.592.680193413087911.8198065869121
83100.595.63229986243634.86770013756369
8499.597.40516248332682.09483751667317
8594.298.7138328866562-4.51383288665616
8695.198.5348030439301-3.43480304393007
87108.198.43131759519759.66868240480251
8894.6101.306437577249-6.70643757724872
8998100.674943987409-2.67494398740862
90101.7100.7332180777740.966781922225636
9183.1101.550292562582-18.4502925625818
9292.997.788192705424-4.888192705424
93104.196.51139535782017.5886046421799
94111.198.005852838033913.0941471619661
95104.1101.1141237040932.98587629590747
9699102.34364344737-3.34364344737018
97110.7102.1875990112558.51240098874455
98107.7104.7171384198162.98286158018391
99113.2106.2730799104626.92692008953766
100114.3108.8866991866915.41330081330938
101107.1111.418221366919-4.31822136691909
102109.6111.852462638204-2.25246263820419
10389.2112.604769152528-23.4047691525282
10496.1108.236065310441-12.136065310441
105118.7105.60846779039313.0915322096067
106120.8108.49388288553212.3061171144681
107105111.717694736803-6.71769473680303
108109.8110.910760937546-1.11076093754606
10996.1111.167829822146-15.0678298221456
11097.8108.060931716024-10.2609317160243
111108.3105.4927823338132.80721766618726
11299.1105.620991202915-6.52099120291528
11393.6103.64329107011-10.0432910701102
114100.1100.566281080455-0.466281080455346
11580.999.3640634821647-18.4640634821647
11687.593.8627314088883-6.36273140888828
117107.490.498735310540716.9012646894594
118107.192.412357257716514.6876427422835
11999.594.47754053921765.0224594607824
120101.894.83327824650116.96672175349887
1219295.8529050061251-3.85290500612507
12295.894.57878563150941.22121436849059
12311094.356876321258415.6431236787416
12499.497.61391795086241.7860820491376
12594.498.2028961825967-3.80289618259668
126105.497.53430102187567.8656989781244
12784.199.4882848829372-15.3882848829372
12892.396.2273263259994-3.92732632599945
129109.895.074794590948214.7252054090518
130106.898.20083825772348.59916174227656
131103.8100.4606560618493.33934393815134
132106.2101.8145043528334.38549564716736
13391.2103.551122850146-12.3511228501463
13494.7101.483207517685-6.7832075176846
135109.9100.2440193697489.65598063025182
13693.7102.642438456954-8.94243845695389
137101.4101.0049676683170.395032331682827
13893.6101.229482522946-7.62948252294625
13978.399.5613762134045-21.2613762134045
14091.894.3451282726187-2.5451282726187
141107.892.727220773120915.0727792268791
14298.895.19727373516483.60272626483517
14398.695.54407984194283.05592015805718
14499.995.90536942624913.99463057375095
14589.796.612506390063-6.91250639006299
14694.494.885853563179-0.485853563178978
147103.294.41034177802358.78965822197654
14889.996.1213320205004-6.22133202050037
14992.694.6148756369296-2.01487563692957
15097.893.85925923460213.94074076539793
15181.194.4392352095147-13.3392352095147
15291.291.06760856970820.13239143029179
153101.490.364807057031911.0351929429682
154105.392.260327618511213.0396723814888
15595.895.07527096943040.724729030569549
15691.395.4844653950995-4.18446539509951
15791.194.7551810579384-3.65518105793844
15888.893.9839084664465-5.18390846644648
15995.392.70242438354192.59757561645806
16089.493.0636465811632-3.66364658116322
16188.392.0399703653927-3.73997036539271
16287.490.8511678891129-3.45116788911287
16378.989.5810151777099-10.6810151777099
16482.286.4529392386295-4.25293923862949
16594.584.425161860403410.0748381395966
16698.885.634341900636213.1656580993638
16788.187.98278239267560.117217607324406
16886.587.7560806502501-1.25608065025006
16988.187.20747008717080.892529912829161
17085.887.1194730339376-1.3194730339376
1719486.54120134056077.45879865943927
17290.487.997730930922.40226906907996
17386.488.550891153659-2.15089115365902
17490.388.11754587932452.18245412067552
17582.188.6285120661391-6.52851206613907
17682.187.1553043605821-5.05530436058213
17797.785.770565575895311.9294344241047
17899.188.222500357648610.8774996423514
17985.990.9028257999828-5.00282579998276
18089.190.2427085653859-1.14270856538589
18185.790.2999442548193-4.59994425481925
18285.989.4891043837042-3.58910438370417
18399.988.734136778032711.1658632219673
18491.691.34435615587950.255643844120499
18582.991.8077403697329-8.90774036973292
18696.690.10205452883756.49794547116248
18781.591.7029485920123-10.2029485920123
1888489.5925501257994-5.59255012579939
189100.888.169330933683712.6306690663163
19010290.855780195273411.1442198047266
19192.993.6954110013304-0.795411001330351
19293.294.142513677753-0.942513677752999
19386.794.5227215223075-7.82272152230753
19491.693.2288002758128-1.62880027581281
19597.693.09415454802914.50584545197093
19692.894.3531678551416-1.55316785514162
19793.594.3519279408555-0.851927940855504
19895.594.45515546476491.04484453523511
19975.194.9753152595595-19.8753152595595
20090.990.56195388747390.338046112526129
20198.990.15859560878578.74140439121432
20295.591.76736758852743.73263241147257
20394.392.53558256552191.76441743447812
20490.392.9854390877627-2.68543908776266
20587.992.447770171239-4.54777017123898
20688.791.3594519273336-2.65945192733361
207100.390.53778950470859.7622104952915
20885.592.563679382546-7.063679382546
2099390.97950123940752.0204987605925
2109691.27243821855684.72756178144319
21177.692.2902515867739-14.6902515867739
21287.588.8795857631355-1.37958576313552

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 96.5 & 90.6 & 5.90000000000001 \tabularnewline
4 & 85.4 & 96.5031957309596 & -11.1031957309596 \tabularnewline
5 & 94.5 & 98.5992148654326 & -4.09921486543264 \tabularnewline
6 & 90 & 101.915563325001 & -11.9155633250006 \tabularnewline
7 & 69.1 & 103.208503465353 & -34.1085034653528 \tabularnewline
8 & 82.4 & 98.7452858078536 & -16.3452858078536 \tabularnewline
9 & 96.5 & 97.1383625175181 & -0.638362517518132 \tabularnewline
10 & 100 & 98.6112910054533 & 1.38870899454666 \tabularnewline
11 & 94.7 & 100.540708341491 & -5.84070834149065 \tabularnewline
12 & 88.8 & 100.806465625464 & -12.0064656254636 \tabularnewline
13 & 95.4 & 99.3715109921375 & -3.97151099213751 \tabularnewline
14 & 88.4 & 99.3658455535346 & -10.9658455535346 \tabularnewline
15 & 101.3 & 97.53739426949 & 3.76260573051 \tabularnewline
16 & 88.7 & 98.7718915138321 & -10.0718915138321 \tabularnewline
17 & 92.8 & 96.8670773811484 & -4.06707738114838 \tabularnewline
18 & 93.3 & 95.9863337060008 & -2.68633370600085 \tabularnewline
19 & 77.6 & 95.2708134124822 & -17.6708134124822 \tabularnewline
20 & 84.6 & 90.8837701177144 & -6.28377011771437 \tabularnewline
21 & 96.9 & 88.4960063953882 & 8.40399360461181 \tabularnewline
22 & 101.3 & 89.3493449005238 & 11.9506550994762 \tabularnewline
23 & 92.2 & 91.3833274267893 & 0.816672573210667 \tabularnewline
24 & 87.6 & 91.2487406751108 & -3.64874067511076 \tabularnewline
25 & 89.8 & 90.0849080336622 & -0.284908033662163 \tabularnewline
26 & 84.8 & 89.5747187734115 & -4.77471877341151 \tabularnewline
27 & 94.2 & 87.9852891598347 & 6.21471084016531 \tabularnewline
28 & 91.3 & 88.8179262496756 & 2.48207375032442 \tabularnewline
29 & 88.9 & 89.0121460776706 & -0.11214607767063 \tabularnewline
30 & 89.7 & 88.6889562987805 & 1.01104370121948 \tabularnewline
31 & 75.8 & 88.628395548969 & -12.828395548969 \tabularnewline
32 & 80.5 & 85.3169638912783 & -4.81696389127829 \tabularnewline
33 & 98 & 83.396253672805 & 14.603746327195 \tabularnewline
34 & 101.4 & 85.9011250667943 & 15.4988749332057 \tabularnewline
35 & 90.4 & 89.2047419261498 & 1.19525807385021 \tabularnewline
36 & 86.5 & 89.7282996824169 & -3.22829968241689 \tabularnewline
37 & 89.9 & 89.2477537131956 & 0.652246286804441 \tabularnewline
38 & 83.4 & 89.56060773952 & -6.16060773951995 \tabularnewline
39 & 93.2 & 88.2793282657226 & 4.92067173427738 \tabularnewline
40 & 90.3 & 89.3863625407003 & 0.913637459299693 \tabularnewline
41 & 86.8 & 89.7378068760244 & -2.9378068760244 \tabularnewline
42 & 87.5 & 89.2099153480007 & -1.70991534800066 \tabularnewline
43 & 75.7 & 88.8561972549904 & -13.1561972549904 \tabularnewline
44 & 77.4 & 85.7116158727105 & -8.31161587271053 \tabularnewline
45 & 98 & 83.1914342172737 & 14.8085657827263 \tabularnewline
46 & 100.8 & 85.836484020767 & 14.963515979233 \tabularnewline
47 & 86.5 & 89.1124595419877 & -2.61245954198766 \tabularnewline
48 & 92 & 88.8086346548212 & 3.19136534517875 \tabularnewline
49 & 87.8 & 89.7803283799372 & -1.98032837993723 \tabularnewline
50 & 84.7 & 89.6500670248428 & -4.95006702484278 \tabularnewline
51 & 99.9 & 88.7340687051786 & 11.1659312948214 \tabularnewline
52 & 92.2 & 91.4523533910639 & 0.747646608936108 \tabularnewline
53 & 85.3 & 92.1408023658067 & -6.84080236580672 \tabularnewline
54 & 96.3 & 91.0544854270969 & 5.24551457290315 \tabularnewline
55 & 72.9 & 92.5682227725909 & -19.6682227725909 \tabularnewline
56 & 82.8 & 88.3671651759369 & -5.56716517593686 \tabularnewline
57 & 98.5 & 86.7307306917665 & 11.7692693082335 \tabularnewline
58 & 95.2 & 88.9940792107771 & 6.20592078922292 \tabularnewline
59 & 89.5 & 90.4064445015776 & -0.906444501577624 \tabularnewline
60 & 94 & 90.3762398697399 & 3.62376013026008 \tabularnewline
61 & 85 & 91.3870890758337 & -6.38708907583371 \tabularnewline
62 & 86 & 90.1624342385318 & -4.16243423853184 \tabularnewline
63 & 96.8 & 89.2106382856177 & 7.58936171438232 \tabularnewline
64 & 92.1 & 90.8867854240715 & 1.21321457592848 \tabularnewline
65 & 87.3 & 91.3509566240024 & -4.05095662400235 \tabularnewline
66 & 94.3 & 90.6118215433796 & 3.68817845662043 \tabularnewline
67 & 71 & 91.5507714197259 & -20.5507714197259 \tabularnewline
68 & 81.5 & 86.8729353950124 & -5.37293539501238 \tabularnewline
69 & 101.5 & 84.9804073373872 & 16.5195926626128 \tabularnewline
70 & 92.8 & 88.0790289367722 & 4.72097106322775 \tabularnewline
71 & 92.1 & 89.0343019613379 & 3.06569803866205 \tabularnewline
72 & 97.9 & 89.785292544136 & 8.11470745586398 \tabularnewline
73 & 88.9 & 91.8600742922657 & -2.9600742922657 \tabularnewline
74 & 89.7 & 91.6264800927193 & -1.92648009271934 \tabularnewline
75 & 102.2 & 91.5199563363453 & 10.6800436636547 \tabularnewline
76 & 88.4 & 94.3343549790307 & -5.93435497903067 \tabularnewline
77 & 94.3 & 93.6258051491109 & 0.674194850889066 \tabularnewline
78 & 97.6 & 94.250897301128 & 3.34910269887203 \tabularnewline
79 & 73.9 & 95.5392088274888 & -21.6392088274888 \tabularnewline
80 & 87.9 & 91.0189112600592 & -3.11891126005915 \tabularnewline
81 & 102.7 & 90.0351938206449 & 12.6648061793551 \tabularnewline
82 & 104.5 & 92.6801934130879 & 11.8198065869121 \tabularnewline
83 & 100.5 & 95.6322998624363 & 4.86770013756369 \tabularnewline
84 & 99.5 & 97.4051624833268 & 2.09483751667317 \tabularnewline
85 & 94.2 & 98.7138328866562 & -4.51383288665616 \tabularnewline
86 & 95.1 & 98.5348030439301 & -3.43480304393007 \tabularnewline
87 & 108.1 & 98.4313175951975 & 9.66868240480251 \tabularnewline
88 & 94.6 & 101.306437577249 & -6.70643757724872 \tabularnewline
89 & 98 & 100.674943987409 & -2.67494398740862 \tabularnewline
90 & 101.7 & 100.733218077774 & 0.966781922225636 \tabularnewline
91 & 83.1 & 101.550292562582 & -18.4502925625818 \tabularnewline
92 & 92.9 & 97.788192705424 & -4.888192705424 \tabularnewline
93 & 104.1 & 96.5113953578201 & 7.5886046421799 \tabularnewline
94 & 111.1 & 98.0058528380339 & 13.0941471619661 \tabularnewline
95 & 104.1 & 101.114123704093 & 2.98587629590747 \tabularnewline
96 & 99 & 102.34364344737 & -3.34364344737018 \tabularnewline
97 & 110.7 & 102.187599011255 & 8.51240098874455 \tabularnewline
98 & 107.7 & 104.717138419816 & 2.98286158018391 \tabularnewline
99 & 113.2 & 106.273079910462 & 6.92692008953766 \tabularnewline
100 & 114.3 & 108.886699186691 & 5.41330081330938 \tabularnewline
101 & 107.1 & 111.418221366919 & -4.31822136691909 \tabularnewline
102 & 109.6 & 111.852462638204 & -2.25246263820419 \tabularnewline
103 & 89.2 & 112.604769152528 & -23.4047691525282 \tabularnewline
104 & 96.1 & 108.236065310441 & -12.136065310441 \tabularnewline
105 & 118.7 & 105.608467790393 & 13.0915322096067 \tabularnewline
106 & 120.8 & 108.493882885532 & 12.3061171144681 \tabularnewline
107 & 105 & 111.717694736803 & -6.71769473680303 \tabularnewline
108 & 109.8 & 110.910760937546 & -1.11076093754606 \tabularnewline
109 & 96.1 & 111.167829822146 & -15.0678298221456 \tabularnewline
110 & 97.8 & 108.060931716024 & -10.2609317160243 \tabularnewline
111 & 108.3 & 105.492782333813 & 2.80721766618726 \tabularnewline
112 & 99.1 & 105.620991202915 & -6.52099120291528 \tabularnewline
113 & 93.6 & 103.64329107011 & -10.0432910701102 \tabularnewline
114 & 100.1 & 100.566281080455 & -0.466281080455346 \tabularnewline
115 & 80.9 & 99.3640634821647 & -18.4640634821647 \tabularnewline
116 & 87.5 & 93.8627314088883 & -6.36273140888828 \tabularnewline
117 & 107.4 & 90.4987353105407 & 16.9012646894594 \tabularnewline
118 & 107.1 & 92.4123572577165 & 14.6876427422835 \tabularnewline
119 & 99.5 & 94.4775405392176 & 5.0224594607824 \tabularnewline
120 & 101.8 & 94.8332782465011 & 6.96672175349887 \tabularnewline
121 & 92 & 95.8529050061251 & -3.85290500612507 \tabularnewline
122 & 95.8 & 94.5787856315094 & 1.22121436849059 \tabularnewline
123 & 110 & 94.3568763212584 & 15.6431236787416 \tabularnewline
124 & 99.4 & 97.6139179508624 & 1.7860820491376 \tabularnewline
125 & 94.4 & 98.2028961825967 & -3.80289618259668 \tabularnewline
126 & 105.4 & 97.5343010218756 & 7.8656989781244 \tabularnewline
127 & 84.1 & 99.4882848829372 & -15.3882848829372 \tabularnewline
128 & 92.3 & 96.2273263259994 & -3.92732632599945 \tabularnewline
129 & 109.8 & 95.0747945909482 & 14.7252054090518 \tabularnewline
130 & 106.8 & 98.2008382577234 & 8.59916174227656 \tabularnewline
131 & 103.8 & 100.460656061849 & 3.33934393815134 \tabularnewline
132 & 106.2 & 101.814504352833 & 4.38549564716736 \tabularnewline
133 & 91.2 & 103.551122850146 & -12.3511228501463 \tabularnewline
134 & 94.7 & 101.483207517685 & -6.7832075176846 \tabularnewline
135 & 109.9 & 100.244019369748 & 9.65598063025182 \tabularnewline
136 & 93.7 & 102.642438456954 & -8.94243845695389 \tabularnewline
137 & 101.4 & 101.004967668317 & 0.395032331682827 \tabularnewline
138 & 93.6 & 101.229482522946 & -7.62948252294625 \tabularnewline
139 & 78.3 & 99.5613762134045 & -21.2613762134045 \tabularnewline
140 & 91.8 & 94.3451282726187 & -2.5451282726187 \tabularnewline
141 & 107.8 & 92.7272207731209 & 15.0727792268791 \tabularnewline
142 & 98.8 & 95.1972737351648 & 3.60272626483517 \tabularnewline
143 & 98.6 & 95.5440798419428 & 3.05592015805718 \tabularnewline
144 & 99.9 & 95.9053694262491 & 3.99463057375095 \tabularnewline
145 & 89.7 & 96.612506390063 & -6.91250639006299 \tabularnewline
146 & 94.4 & 94.885853563179 & -0.485853563178978 \tabularnewline
147 & 103.2 & 94.4103417780235 & 8.78965822197654 \tabularnewline
148 & 89.9 & 96.1213320205004 & -6.22133202050037 \tabularnewline
149 & 92.6 & 94.6148756369296 & -2.01487563692957 \tabularnewline
150 & 97.8 & 93.8592592346021 & 3.94074076539793 \tabularnewline
151 & 81.1 & 94.4392352095147 & -13.3392352095147 \tabularnewline
152 & 91.2 & 91.0676085697082 & 0.13239143029179 \tabularnewline
153 & 101.4 & 90.3648070570319 & 11.0351929429682 \tabularnewline
154 & 105.3 & 92.2603276185112 & 13.0396723814888 \tabularnewline
155 & 95.8 & 95.0752709694304 & 0.724729030569549 \tabularnewline
156 & 91.3 & 95.4844653950995 & -4.18446539509951 \tabularnewline
157 & 91.1 & 94.7551810579384 & -3.65518105793844 \tabularnewline
158 & 88.8 & 93.9839084664465 & -5.18390846644648 \tabularnewline
159 & 95.3 & 92.7024243835419 & 2.59757561645806 \tabularnewline
160 & 89.4 & 93.0636465811632 & -3.66364658116322 \tabularnewline
161 & 88.3 & 92.0399703653927 & -3.73997036539271 \tabularnewline
162 & 87.4 & 90.8511678891129 & -3.45116788911287 \tabularnewline
163 & 78.9 & 89.5810151777099 & -10.6810151777099 \tabularnewline
164 & 82.2 & 86.4529392386295 & -4.25293923862949 \tabularnewline
165 & 94.5 & 84.4251618604034 & 10.0748381395966 \tabularnewline
166 & 98.8 & 85.6343419006362 & 13.1656580993638 \tabularnewline
167 & 88.1 & 87.9827823926756 & 0.117217607324406 \tabularnewline
168 & 86.5 & 87.7560806502501 & -1.25608065025006 \tabularnewline
169 & 88.1 & 87.2074700871708 & 0.892529912829161 \tabularnewline
170 & 85.8 & 87.1194730339376 & -1.3194730339376 \tabularnewline
171 & 94 & 86.5412013405607 & 7.45879865943927 \tabularnewline
172 & 90.4 & 87.99773093092 & 2.40226906907996 \tabularnewline
173 & 86.4 & 88.550891153659 & -2.15089115365902 \tabularnewline
174 & 90.3 & 88.1175458793245 & 2.18245412067552 \tabularnewline
175 & 82.1 & 88.6285120661391 & -6.52851206613907 \tabularnewline
176 & 82.1 & 87.1553043605821 & -5.05530436058213 \tabularnewline
177 & 97.7 & 85.7705655758953 & 11.9294344241047 \tabularnewline
178 & 99.1 & 88.2225003576486 & 10.8774996423514 \tabularnewline
179 & 85.9 & 90.9028257999828 & -5.00282579998276 \tabularnewline
180 & 89.1 & 90.2427085653859 & -1.14270856538589 \tabularnewline
181 & 85.7 & 90.2999442548193 & -4.59994425481925 \tabularnewline
182 & 85.9 & 89.4891043837042 & -3.58910438370417 \tabularnewline
183 & 99.9 & 88.7341367780327 & 11.1658632219673 \tabularnewline
184 & 91.6 & 91.3443561558795 & 0.255643844120499 \tabularnewline
185 & 82.9 & 91.8077403697329 & -8.90774036973292 \tabularnewline
186 & 96.6 & 90.1020545288375 & 6.49794547116248 \tabularnewline
187 & 81.5 & 91.7029485920123 & -10.2029485920123 \tabularnewline
188 & 84 & 89.5925501257994 & -5.59255012579939 \tabularnewline
189 & 100.8 & 88.1693309336837 & 12.6306690663163 \tabularnewline
190 & 102 & 90.8557801952734 & 11.1442198047266 \tabularnewline
191 & 92.9 & 93.6954110013304 & -0.795411001330351 \tabularnewline
192 & 93.2 & 94.142513677753 & -0.942513677752999 \tabularnewline
193 & 86.7 & 94.5227215223075 & -7.82272152230753 \tabularnewline
194 & 91.6 & 93.2288002758128 & -1.62880027581281 \tabularnewline
195 & 97.6 & 93.0941545480291 & 4.50584545197093 \tabularnewline
196 & 92.8 & 94.3531678551416 & -1.55316785514162 \tabularnewline
197 & 93.5 & 94.3519279408555 & -0.851927940855504 \tabularnewline
198 & 95.5 & 94.4551554647649 & 1.04484453523511 \tabularnewline
199 & 75.1 & 94.9753152595595 & -19.8753152595595 \tabularnewline
200 & 90.9 & 90.5619538874739 & 0.338046112526129 \tabularnewline
201 & 98.9 & 90.1585956087857 & 8.74140439121432 \tabularnewline
202 & 95.5 & 91.7673675885274 & 3.73263241147257 \tabularnewline
203 & 94.3 & 92.5355825655219 & 1.76441743447812 \tabularnewline
204 & 90.3 & 92.9854390877627 & -2.68543908776266 \tabularnewline
205 & 87.9 & 92.447770171239 & -4.54777017123898 \tabularnewline
206 & 88.7 & 91.3594519273336 & -2.65945192733361 \tabularnewline
207 & 100.3 & 90.5377895047085 & 9.7622104952915 \tabularnewline
208 & 85.5 & 92.563679382546 & -7.063679382546 \tabularnewline
209 & 93 & 90.9795012394075 & 2.0204987605925 \tabularnewline
210 & 96 & 91.2724382185568 & 4.72756178144319 \tabularnewline
211 & 77.6 & 92.2902515867739 & -14.6902515867739 \tabularnewline
212 & 87.5 & 88.8795857631355 & -1.37958576313552 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309294&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]3[/C][C]96.5[/C][C]90.6[/C][C]5.90000000000001[/C][/ROW]
[ROW][C]4[/C][C]85.4[/C][C]96.5031957309596[/C][C]-11.1031957309596[/C][/ROW]
[ROW][C]5[/C][C]94.5[/C][C]98.5992148654326[/C][C]-4.09921486543264[/C][/ROW]
[ROW][C]6[/C][C]90[/C][C]101.915563325001[/C][C]-11.9155633250006[/C][/ROW]
[ROW][C]7[/C][C]69.1[/C][C]103.208503465353[/C][C]-34.1085034653528[/C][/ROW]
[ROW][C]8[/C][C]82.4[/C][C]98.7452858078536[/C][C]-16.3452858078536[/C][/ROW]
[ROW][C]9[/C][C]96.5[/C][C]97.1383625175181[/C][C]-0.638362517518132[/C][/ROW]
[ROW][C]10[/C][C]100[/C][C]98.6112910054533[/C][C]1.38870899454666[/C][/ROW]
[ROW][C]11[/C][C]94.7[/C][C]100.540708341491[/C][C]-5.84070834149065[/C][/ROW]
[ROW][C]12[/C][C]88.8[/C][C]100.806465625464[/C][C]-12.0064656254636[/C][/ROW]
[ROW][C]13[/C][C]95.4[/C][C]99.3715109921375[/C][C]-3.97151099213751[/C][/ROW]
[ROW][C]14[/C][C]88.4[/C][C]99.3658455535346[/C][C]-10.9658455535346[/C][/ROW]
[ROW][C]15[/C][C]101.3[/C][C]97.53739426949[/C][C]3.76260573051[/C][/ROW]
[ROW][C]16[/C][C]88.7[/C][C]98.7718915138321[/C][C]-10.0718915138321[/C][/ROW]
[ROW][C]17[/C][C]92.8[/C][C]96.8670773811484[/C][C]-4.06707738114838[/C][/ROW]
[ROW][C]18[/C][C]93.3[/C][C]95.9863337060008[/C][C]-2.68633370600085[/C][/ROW]
[ROW][C]19[/C][C]77.6[/C][C]95.2708134124822[/C][C]-17.6708134124822[/C][/ROW]
[ROW][C]20[/C][C]84.6[/C][C]90.8837701177144[/C][C]-6.28377011771437[/C][/ROW]
[ROW][C]21[/C][C]96.9[/C][C]88.4960063953882[/C][C]8.40399360461181[/C][/ROW]
[ROW][C]22[/C][C]101.3[/C][C]89.3493449005238[/C][C]11.9506550994762[/C][/ROW]
[ROW][C]23[/C][C]92.2[/C][C]91.3833274267893[/C][C]0.816672573210667[/C][/ROW]
[ROW][C]24[/C][C]87.6[/C][C]91.2487406751108[/C][C]-3.64874067511076[/C][/ROW]
[ROW][C]25[/C][C]89.8[/C][C]90.0849080336622[/C][C]-0.284908033662163[/C][/ROW]
[ROW][C]26[/C][C]84.8[/C][C]89.5747187734115[/C][C]-4.77471877341151[/C][/ROW]
[ROW][C]27[/C][C]94.2[/C][C]87.9852891598347[/C][C]6.21471084016531[/C][/ROW]
[ROW][C]28[/C][C]91.3[/C][C]88.8179262496756[/C][C]2.48207375032442[/C][/ROW]
[ROW][C]29[/C][C]88.9[/C][C]89.0121460776706[/C][C]-0.11214607767063[/C][/ROW]
[ROW][C]30[/C][C]89.7[/C][C]88.6889562987805[/C][C]1.01104370121948[/C][/ROW]
[ROW][C]31[/C][C]75.8[/C][C]88.628395548969[/C][C]-12.828395548969[/C][/ROW]
[ROW][C]32[/C][C]80.5[/C][C]85.3169638912783[/C][C]-4.81696389127829[/C][/ROW]
[ROW][C]33[/C][C]98[/C][C]83.396253672805[/C][C]14.603746327195[/C][/ROW]
[ROW][C]34[/C][C]101.4[/C][C]85.9011250667943[/C][C]15.4988749332057[/C][/ROW]
[ROW][C]35[/C][C]90.4[/C][C]89.2047419261498[/C][C]1.19525807385021[/C][/ROW]
[ROW][C]36[/C][C]86.5[/C][C]89.7282996824169[/C][C]-3.22829968241689[/C][/ROW]
[ROW][C]37[/C][C]89.9[/C][C]89.2477537131956[/C][C]0.652246286804441[/C][/ROW]
[ROW][C]38[/C][C]83.4[/C][C]89.56060773952[/C][C]-6.16060773951995[/C][/ROW]
[ROW][C]39[/C][C]93.2[/C][C]88.2793282657226[/C][C]4.92067173427738[/C][/ROW]
[ROW][C]40[/C][C]90.3[/C][C]89.3863625407003[/C][C]0.913637459299693[/C][/ROW]
[ROW][C]41[/C][C]86.8[/C][C]89.7378068760244[/C][C]-2.9378068760244[/C][/ROW]
[ROW][C]42[/C][C]87.5[/C][C]89.2099153480007[/C][C]-1.70991534800066[/C][/ROW]
[ROW][C]43[/C][C]75.7[/C][C]88.8561972549904[/C][C]-13.1561972549904[/C][/ROW]
[ROW][C]44[/C][C]77.4[/C][C]85.7116158727105[/C][C]-8.31161587271053[/C][/ROW]
[ROW][C]45[/C][C]98[/C][C]83.1914342172737[/C][C]14.8085657827263[/C][/ROW]
[ROW][C]46[/C][C]100.8[/C][C]85.836484020767[/C][C]14.963515979233[/C][/ROW]
[ROW][C]47[/C][C]86.5[/C][C]89.1124595419877[/C][C]-2.61245954198766[/C][/ROW]
[ROW][C]48[/C][C]92[/C][C]88.8086346548212[/C][C]3.19136534517875[/C][/ROW]
[ROW][C]49[/C][C]87.8[/C][C]89.7803283799372[/C][C]-1.98032837993723[/C][/ROW]
[ROW][C]50[/C][C]84.7[/C][C]89.6500670248428[/C][C]-4.95006702484278[/C][/ROW]
[ROW][C]51[/C][C]99.9[/C][C]88.7340687051786[/C][C]11.1659312948214[/C][/ROW]
[ROW][C]52[/C][C]92.2[/C][C]91.4523533910639[/C][C]0.747646608936108[/C][/ROW]
[ROW][C]53[/C][C]85.3[/C][C]92.1408023658067[/C][C]-6.84080236580672[/C][/ROW]
[ROW][C]54[/C][C]96.3[/C][C]91.0544854270969[/C][C]5.24551457290315[/C][/ROW]
[ROW][C]55[/C][C]72.9[/C][C]92.5682227725909[/C][C]-19.6682227725909[/C][/ROW]
[ROW][C]56[/C][C]82.8[/C][C]88.3671651759369[/C][C]-5.56716517593686[/C][/ROW]
[ROW][C]57[/C][C]98.5[/C][C]86.7307306917665[/C][C]11.7692693082335[/C][/ROW]
[ROW][C]58[/C][C]95.2[/C][C]88.9940792107771[/C][C]6.20592078922292[/C][/ROW]
[ROW][C]59[/C][C]89.5[/C][C]90.4064445015776[/C][C]-0.906444501577624[/C][/ROW]
[ROW][C]60[/C][C]94[/C][C]90.3762398697399[/C][C]3.62376013026008[/C][/ROW]
[ROW][C]61[/C][C]85[/C][C]91.3870890758337[/C][C]-6.38708907583371[/C][/ROW]
[ROW][C]62[/C][C]86[/C][C]90.1624342385318[/C][C]-4.16243423853184[/C][/ROW]
[ROW][C]63[/C][C]96.8[/C][C]89.2106382856177[/C][C]7.58936171438232[/C][/ROW]
[ROW][C]64[/C][C]92.1[/C][C]90.8867854240715[/C][C]1.21321457592848[/C][/ROW]
[ROW][C]65[/C][C]87.3[/C][C]91.3509566240024[/C][C]-4.05095662400235[/C][/ROW]
[ROW][C]66[/C][C]94.3[/C][C]90.6118215433796[/C][C]3.68817845662043[/C][/ROW]
[ROW][C]67[/C][C]71[/C][C]91.5507714197259[/C][C]-20.5507714197259[/C][/ROW]
[ROW][C]68[/C][C]81.5[/C][C]86.8729353950124[/C][C]-5.37293539501238[/C][/ROW]
[ROW][C]69[/C][C]101.5[/C][C]84.9804073373872[/C][C]16.5195926626128[/C][/ROW]
[ROW][C]70[/C][C]92.8[/C][C]88.0790289367722[/C][C]4.72097106322775[/C][/ROW]
[ROW][C]71[/C][C]92.1[/C][C]89.0343019613379[/C][C]3.06569803866205[/C][/ROW]
[ROW][C]72[/C][C]97.9[/C][C]89.785292544136[/C][C]8.11470745586398[/C][/ROW]
[ROW][C]73[/C][C]88.9[/C][C]91.8600742922657[/C][C]-2.9600742922657[/C][/ROW]
[ROW][C]74[/C][C]89.7[/C][C]91.6264800927193[/C][C]-1.92648009271934[/C][/ROW]
[ROW][C]75[/C][C]102.2[/C][C]91.5199563363453[/C][C]10.6800436636547[/C][/ROW]
[ROW][C]76[/C][C]88.4[/C][C]94.3343549790307[/C][C]-5.93435497903067[/C][/ROW]
[ROW][C]77[/C][C]94.3[/C][C]93.6258051491109[/C][C]0.674194850889066[/C][/ROW]
[ROW][C]78[/C][C]97.6[/C][C]94.250897301128[/C][C]3.34910269887203[/C][/ROW]
[ROW][C]79[/C][C]73.9[/C][C]95.5392088274888[/C][C]-21.6392088274888[/C][/ROW]
[ROW][C]80[/C][C]87.9[/C][C]91.0189112600592[/C][C]-3.11891126005915[/C][/ROW]
[ROW][C]81[/C][C]102.7[/C][C]90.0351938206449[/C][C]12.6648061793551[/C][/ROW]
[ROW][C]82[/C][C]104.5[/C][C]92.6801934130879[/C][C]11.8198065869121[/C][/ROW]
[ROW][C]83[/C][C]100.5[/C][C]95.6322998624363[/C][C]4.86770013756369[/C][/ROW]
[ROW][C]84[/C][C]99.5[/C][C]97.4051624833268[/C][C]2.09483751667317[/C][/ROW]
[ROW][C]85[/C][C]94.2[/C][C]98.7138328866562[/C][C]-4.51383288665616[/C][/ROW]
[ROW][C]86[/C][C]95.1[/C][C]98.5348030439301[/C][C]-3.43480304393007[/C][/ROW]
[ROW][C]87[/C][C]108.1[/C][C]98.4313175951975[/C][C]9.66868240480251[/C][/ROW]
[ROW][C]88[/C][C]94.6[/C][C]101.306437577249[/C][C]-6.70643757724872[/C][/ROW]
[ROW][C]89[/C][C]98[/C][C]100.674943987409[/C][C]-2.67494398740862[/C][/ROW]
[ROW][C]90[/C][C]101.7[/C][C]100.733218077774[/C][C]0.966781922225636[/C][/ROW]
[ROW][C]91[/C][C]83.1[/C][C]101.550292562582[/C][C]-18.4502925625818[/C][/ROW]
[ROW][C]92[/C][C]92.9[/C][C]97.788192705424[/C][C]-4.888192705424[/C][/ROW]
[ROW][C]93[/C][C]104.1[/C][C]96.5113953578201[/C][C]7.5886046421799[/C][/ROW]
[ROW][C]94[/C][C]111.1[/C][C]98.0058528380339[/C][C]13.0941471619661[/C][/ROW]
[ROW][C]95[/C][C]104.1[/C][C]101.114123704093[/C][C]2.98587629590747[/C][/ROW]
[ROW][C]96[/C][C]99[/C][C]102.34364344737[/C][C]-3.34364344737018[/C][/ROW]
[ROW][C]97[/C][C]110.7[/C][C]102.187599011255[/C][C]8.51240098874455[/C][/ROW]
[ROW][C]98[/C][C]107.7[/C][C]104.717138419816[/C][C]2.98286158018391[/C][/ROW]
[ROW][C]99[/C][C]113.2[/C][C]106.273079910462[/C][C]6.92692008953766[/C][/ROW]
[ROW][C]100[/C][C]114.3[/C][C]108.886699186691[/C][C]5.41330081330938[/C][/ROW]
[ROW][C]101[/C][C]107.1[/C][C]111.418221366919[/C][C]-4.31822136691909[/C][/ROW]
[ROW][C]102[/C][C]109.6[/C][C]111.852462638204[/C][C]-2.25246263820419[/C][/ROW]
[ROW][C]103[/C][C]89.2[/C][C]112.604769152528[/C][C]-23.4047691525282[/C][/ROW]
[ROW][C]104[/C][C]96.1[/C][C]108.236065310441[/C][C]-12.136065310441[/C][/ROW]
[ROW][C]105[/C][C]118.7[/C][C]105.608467790393[/C][C]13.0915322096067[/C][/ROW]
[ROW][C]106[/C][C]120.8[/C][C]108.493882885532[/C][C]12.3061171144681[/C][/ROW]
[ROW][C]107[/C][C]105[/C][C]111.717694736803[/C][C]-6.71769473680303[/C][/ROW]
[ROW][C]108[/C][C]109.8[/C][C]110.910760937546[/C][C]-1.11076093754606[/C][/ROW]
[ROW][C]109[/C][C]96.1[/C][C]111.167829822146[/C][C]-15.0678298221456[/C][/ROW]
[ROW][C]110[/C][C]97.8[/C][C]108.060931716024[/C][C]-10.2609317160243[/C][/ROW]
[ROW][C]111[/C][C]108.3[/C][C]105.492782333813[/C][C]2.80721766618726[/C][/ROW]
[ROW][C]112[/C][C]99.1[/C][C]105.620991202915[/C][C]-6.52099120291528[/C][/ROW]
[ROW][C]113[/C][C]93.6[/C][C]103.64329107011[/C][C]-10.0432910701102[/C][/ROW]
[ROW][C]114[/C][C]100.1[/C][C]100.566281080455[/C][C]-0.466281080455346[/C][/ROW]
[ROW][C]115[/C][C]80.9[/C][C]99.3640634821647[/C][C]-18.4640634821647[/C][/ROW]
[ROW][C]116[/C][C]87.5[/C][C]93.8627314088883[/C][C]-6.36273140888828[/C][/ROW]
[ROW][C]117[/C][C]107.4[/C][C]90.4987353105407[/C][C]16.9012646894594[/C][/ROW]
[ROW][C]118[/C][C]107.1[/C][C]92.4123572577165[/C][C]14.6876427422835[/C][/ROW]
[ROW][C]119[/C][C]99.5[/C][C]94.4775405392176[/C][C]5.0224594607824[/C][/ROW]
[ROW][C]120[/C][C]101.8[/C][C]94.8332782465011[/C][C]6.96672175349887[/C][/ROW]
[ROW][C]121[/C][C]92[/C][C]95.8529050061251[/C][C]-3.85290500612507[/C][/ROW]
[ROW][C]122[/C][C]95.8[/C][C]94.5787856315094[/C][C]1.22121436849059[/C][/ROW]
[ROW][C]123[/C][C]110[/C][C]94.3568763212584[/C][C]15.6431236787416[/C][/ROW]
[ROW][C]124[/C][C]99.4[/C][C]97.6139179508624[/C][C]1.7860820491376[/C][/ROW]
[ROW][C]125[/C][C]94.4[/C][C]98.2028961825967[/C][C]-3.80289618259668[/C][/ROW]
[ROW][C]126[/C][C]105.4[/C][C]97.5343010218756[/C][C]7.8656989781244[/C][/ROW]
[ROW][C]127[/C][C]84.1[/C][C]99.4882848829372[/C][C]-15.3882848829372[/C][/ROW]
[ROW][C]128[/C][C]92.3[/C][C]96.2273263259994[/C][C]-3.92732632599945[/C][/ROW]
[ROW][C]129[/C][C]109.8[/C][C]95.0747945909482[/C][C]14.7252054090518[/C][/ROW]
[ROW][C]130[/C][C]106.8[/C][C]98.2008382577234[/C][C]8.59916174227656[/C][/ROW]
[ROW][C]131[/C][C]103.8[/C][C]100.460656061849[/C][C]3.33934393815134[/C][/ROW]
[ROW][C]132[/C][C]106.2[/C][C]101.814504352833[/C][C]4.38549564716736[/C][/ROW]
[ROW][C]133[/C][C]91.2[/C][C]103.551122850146[/C][C]-12.3511228501463[/C][/ROW]
[ROW][C]134[/C][C]94.7[/C][C]101.483207517685[/C][C]-6.7832075176846[/C][/ROW]
[ROW][C]135[/C][C]109.9[/C][C]100.244019369748[/C][C]9.65598063025182[/C][/ROW]
[ROW][C]136[/C][C]93.7[/C][C]102.642438456954[/C][C]-8.94243845695389[/C][/ROW]
[ROW][C]137[/C][C]101.4[/C][C]101.004967668317[/C][C]0.395032331682827[/C][/ROW]
[ROW][C]138[/C][C]93.6[/C][C]101.229482522946[/C][C]-7.62948252294625[/C][/ROW]
[ROW][C]139[/C][C]78.3[/C][C]99.5613762134045[/C][C]-21.2613762134045[/C][/ROW]
[ROW][C]140[/C][C]91.8[/C][C]94.3451282726187[/C][C]-2.5451282726187[/C][/ROW]
[ROW][C]141[/C][C]107.8[/C][C]92.7272207731209[/C][C]15.0727792268791[/C][/ROW]
[ROW][C]142[/C][C]98.8[/C][C]95.1972737351648[/C][C]3.60272626483517[/C][/ROW]
[ROW][C]143[/C][C]98.6[/C][C]95.5440798419428[/C][C]3.05592015805718[/C][/ROW]
[ROW][C]144[/C][C]99.9[/C][C]95.9053694262491[/C][C]3.99463057375095[/C][/ROW]
[ROW][C]145[/C][C]89.7[/C][C]96.612506390063[/C][C]-6.91250639006299[/C][/ROW]
[ROW][C]146[/C][C]94.4[/C][C]94.885853563179[/C][C]-0.485853563178978[/C][/ROW]
[ROW][C]147[/C][C]103.2[/C][C]94.4103417780235[/C][C]8.78965822197654[/C][/ROW]
[ROW][C]148[/C][C]89.9[/C][C]96.1213320205004[/C][C]-6.22133202050037[/C][/ROW]
[ROW][C]149[/C][C]92.6[/C][C]94.6148756369296[/C][C]-2.01487563692957[/C][/ROW]
[ROW][C]150[/C][C]97.8[/C][C]93.8592592346021[/C][C]3.94074076539793[/C][/ROW]
[ROW][C]151[/C][C]81.1[/C][C]94.4392352095147[/C][C]-13.3392352095147[/C][/ROW]
[ROW][C]152[/C][C]91.2[/C][C]91.0676085697082[/C][C]0.13239143029179[/C][/ROW]
[ROW][C]153[/C][C]101.4[/C][C]90.3648070570319[/C][C]11.0351929429682[/C][/ROW]
[ROW][C]154[/C][C]105.3[/C][C]92.2603276185112[/C][C]13.0396723814888[/C][/ROW]
[ROW][C]155[/C][C]95.8[/C][C]95.0752709694304[/C][C]0.724729030569549[/C][/ROW]
[ROW][C]156[/C][C]91.3[/C][C]95.4844653950995[/C][C]-4.18446539509951[/C][/ROW]
[ROW][C]157[/C][C]91.1[/C][C]94.7551810579384[/C][C]-3.65518105793844[/C][/ROW]
[ROW][C]158[/C][C]88.8[/C][C]93.9839084664465[/C][C]-5.18390846644648[/C][/ROW]
[ROW][C]159[/C][C]95.3[/C][C]92.7024243835419[/C][C]2.59757561645806[/C][/ROW]
[ROW][C]160[/C][C]89.4[/C][C]93.0636465811632[/C][C]-3.66364658116322[/C][/ROW]
[ROW][C]161[/C][C]88.3[/C][C]92.0399703653927[/C][C]-3.73997036539271[/C][/ROW]
[ROW][C]162[/C][C]87.4[/C][C]90.8511678891129[/C][C]-3.45116788911287[/C][/ROW]
[ROW][C]163[/C][C]78.9[/C][C]89.5810151777099[/C][C]-10.6810151777099[/C][/ROW]
[ROW][C]164[/C][C]82.2[/C][C]86.4529392386295[/C][C]-4.25293923862949[/C][/ROW]
[ROW][C]165[/C][C]94.5[/C][C]84.4251618604034[/C][C]10.0748381395966[/C][/ROW]
[ROW][C]166[/C][C]98.8[/C][C]85.6343419006362[/C][C]13.1656580993638[/C][/ROW]
[ROW][C]167[/C][C]88.1[/C][C]87.9827823926756[/C][C]0.117217607324406[/C][/ROW]
[ROW][C]168[/C][C]86.5[/C][C]87.7560806502501[/C][C]-1.25608065025006[/C][/ROW]
[ROW][C]169[/C][C]88.1[/C][C]87.2074700871708[/C][C]0.892529912829161[/C][/ROW]
[ROW][C]170[/C][C]85.8[/C][C]87.1194730339376[/C][C]-1.3194730339376[/C][/ROW]
[ROW][C]171[/C][C]94[/C][C]86.5412013405607[/C][C]7.45879865943927[/C][/ROW]
[ROW][C]172[/C][C]90.4[/C][C]87.99773093092[/C][C]2.40226906907996[/C][/ROW]
[ROW][C]173[/C][C]86.4[/C][C]88.550891153659[/C][C]-2.15089115365902[/C][/ROW]
[ROW][C]174[/C][C]90.3[/C][C]88.1175458793245[/C][C]2.18245412067552[/C][/ROW]
[ROW][C]175[/C][C]82.1[/C][C]88.6285120661391[/C][C]-6.52851206613907[/C][/ROW]
[ROW][C]176[/C][C]82.1[/C][C]87.1553043605821[/C][C]-5.05530436058213[/C][/ROW]
[ROW][C]177[/C][C]97.7[/C][C]85.7705655758953[/C][C]11.9294344241047[/C][/ROW]
[ROW][C]178[/C][C]99.1[/C][C]88.2225003576486[/C][C]10.8774996423514[/C][/ROW]
[ROW][C]179[/C][C]85.9[/C][C]90.9028257999828[/C][C]-5.00282579998276[/C][/ROW]
[ROW][C]180[/C][C]89.1[/C][C]90.2427085653859[/C][C]-1.14270856538589[/C][/ROW]
[ROW][C]181[/C][C]85.7[/C][C]90.2999442548193[/C][C]-4.59994425481925[/C][/ROW]
[ROW][C]182[/C][C]85.9[/C][C]89.4891043837042[/C][C]-3.58910438370417[/C][/ROW]
[ROW][C]183[/C][C]99.9[/C][C]88.7341367780327[/C][C]11.1658632219673[/C][/ROW]
[ROW][C]184[/C][C]91.6[/C][C]91.3443561558795[/C][C]0.255643844120499[/C][/ROW]
[ROW][C]185[/C][C]82.9[/C][C]91.8077403697329[/C][C]-8.90774036973292[/C][/ROW]
[ROW][C]186[/C][C]96.6[/C][C]90.1020545288375[/C][C]6.49794547116248[/C][/ROW]
[ROW][C]187[/C][C]81.5[/C][C]91.7029485920123[/C][C]-10.2029485920123[/C][/ROW]
[ROW][C]188[/C][C]84[/C][C]89.5925501257994[/C][C]-5.59255012579939[/C][/ROW]
[ROW][C]189[/C][C]100.8[/C][C]88.1693309336837[/C][C]12.6306690663163[/C][/ROW]
[ROW][C]190[/C][C]102[/C][C]90.8557801952734[/C][C]11.1442198047266[/C][/ROW]
[ROW][C]191[/C][C]92.9[/C][C]93.6954110013304[/C][C]-0.795411001330351[/C][/ROW]
[ROW][C]192[/C][C]93.2[/C][C]94.142513677753[/C][C]-0.942513677752999[/C][/ROW]
[ROW][C]193[/C][C]86.7[/C][C]94.5227215223075[/C][C]-7.82272152230753[/C][/ROW]
[ROW][C]194[/C][C]91.6[/C][C]93.2288002758128[/C][C]-1.62880027581281[/C][/ROW]
[ROW][C]195[/C][C]97.6[/C][C]93.0941545480291[/C][C]4.50584545197093[/C][/ROW]
[ROW][C]196[/C][C]92.8[/C][C]94.3531678551416[/C][C]-1.55316785514162[/C][/ROW]
[ROW][C]197[/C][C]93.5[/C][C]94.3519279408555[/C][C]-0.851927940855504[/C][/ROW]
[ROW][C]198[/C][C]95.5[/C][C]94.4551554647649[/C][C]1.04484453523511[/C][/ROW]
[ROW][C]199[/C][C]75.1[/C][C]94.9753152595595[/C][C]-19.8753152595595[/C][/ROW]
[ROW][C]200[/C][C]90.9[/C][C]90.5619538874739[/C][C]0.338046112526129[/C][/ROW]
[ROW][C]201[/C][C]98.9[/C][C]90.1585956087857[/C][C]8.74140439121432[/C][/ROW]
[ROW][C]202[/C][C]95.5[/C][C]91.7673675885274[/C][C]3.73263241147257[/C][/ROW]
[ROW][C]203[/C][C]94.3[/C][C]92.5355825655219[/C][C]1.76441743447812[/C][/ROW]
[ROW][C]204[/C][C]90.3[/C][C]92.9854390877627[/C][C]-2.68543908776266[/C][/ROW]
[ROW][C]205[/C][C]87.9[/C][C]92.447770171239[/C][C]-4.54777017123898[/C][/ROW]
[ROW][C]206[/C][C]88.7[/C][C]91.3594519273336[/C][C]-2.65945192733361[/C][/ROW]
[ROW][C]207[/C][C]100.3[/C][C]90.5377895047085[/C][C]9.7622104952915[/C][/ROW]
[ROW][C]208[/C][C]85.5[/C][C]92.563679382546[/C][C]-7.063679382546[/C][/ROW]
[ROW][C]209[/C][C]93[/C][C]90.9795012394075[/C][C]2.0204987605925[/C][/ROW]
[ROW][C]210[/C][C]96[/C][C]91.2724382185568[/C][C]4.72756178144319[/C][/ROW]
[ROW][C]211[/C][C]77.6[/C][C]92.2902515867739[/C][C]-14.6902515867739[/C][/ROW]
[ROW][C]212[/C][C]87.5[/C][C]88.8795857631355[/C][C]-1.37958576313552[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309294&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309294&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
396.590.65.90000000000001
485.496.5031957309596-11.1031957309596
594.598.5992148654326-4.09921486543264
690101.915563325001-11.9155633250006
769.1103.208503465353-34.1085034653528
882.498.7452858078536-16.3452858078536
996.597.1383625175181-0.638362517518132
1010098.61129100545331.38870899454666
1194.7100.540708341491-5.84070834149065
1288.8100.806465625464-12.0064656254636
1395.499.3715109921375-3.97151099213751
1488.499.3658455535346-10.9658455535346
15101.397.537394269493.76260573051
1688.798.7718915138321-10.0718915138321
1792.896.8670773811484-4.06707738114838
1893.395.9863337060008-2.68633370600085
1977.695.2708134124822-17.6708134124822
2084.690.8837701177144-6.28377011771437
2196.988.49600639538828.40399360461181
22101.389.349344900523811.9506550994762
2392.291.38332742678930.816672573210667
2487.691.2487406751108-3.64874067511076
2589.890.0849080336622-0.284908033662163
2684.889.5747187734115-4.77471877341151
2794.287.98528915983476.21471084016531
2891.388.81792624967562.48207375032442
2988.989.0121460776706-0.11214607767063
3089.788.68895629878051.01104370121948
3175.888.628395548969-12.828395548969
3280.585.3169638912783-4.81696389127829
339883.39625367280514.603746327195
34101.485.901125066794315.4988749332057
3590.489.20474192614981.19525807385021
3686.589.7282996824169-3.22829968241689
3789.989.24775371319560.652246286804441
3883.489.56060773952-6.16060773951995
3993.288.27932826572264.92067173427738
4090.389.38636254070030.913637459299693
4186.889.7378068760244-2.9378068760244
4287.589.2099153480007-1.70991534800066
4375.788.8561972549904-13.1561972549904
4477.485.7116158727105-8.31161587271053
459883.191434217273714.8085657827263
46100.885.83648402076714.963515979233
4786.589.1124595419877-2.61245954198766
489288.80863465482123.19136534517875
4987.889.7803283799372-1.98032837993723
5084.789.6500670248428-4.95006702484278
5199.988.734068705178611.1659312948214
5292.291.45235339106390.747646608936108
5385.392.1408023658067-6.84080236580672
5496.391.05448542709695.24551457290315
5572.992.5682227725909-19.6682227725909
5682.888.3671651759369-5.56716517593686
5798.586.730730691766511.7692693082335
5895.288.99407921077716.20592078922292
5989.590.4064445015776-0.906444501577624
609490.37623986973993.62376013026008
618591.3870890758337-6.38708907583371
628690.1624342385318-4.16243423853184
6396.889.21063828561777.58936171438232
6492.190.88678542407151.21321457592848
6587.391.3509566240024-4.05095662400235
6694.390.61182154337963.68817845662043
677191.5507714197259-20.5507714197259
6881.586.8729353950124-5.37293539501238
69101.584.980407337387216.5195926626128
7092.888.07902893677224.72097106322775
7192.189.03430196133793.06569803866205
7297.989.7852925441368.11470745586398
7388.991.8600742922657-2.9600742922657
7489.791.6264800927193-1.92648009271934
75102.291.519956336345310.6800436636547
7688.494.3343549790307-5.93435497903067
7794.393.62580514911090.674194850889066
7897.694.2508973011283.34910269887203
7973.995.5392088274888-21.6392088274888
8087.991.0189112600592-3.11891126005915
81102.790.035193820644912.6648061793551
82104.592.680193413087911.8198065869121
83100.595.63229986243634.86770013756369
8499.597.40516248332682.09483751667317
8594.298.7138328866562-4.51383288665616
8695.198.5348030439301-3.43480304393007
87108.198.43131759519759.66868240480251
8894.6101.306437577249-6.70643757724872
8998100.674943987409-2.67494398740862
90101.7100.7332180777740.966781922225636
9183.1101.550292562582-18.4502925625818
9292.997.788192705424-4.888192705424
93104.196.51139535782017.5886046421799
94111.198.005852838033913.0941471619661
95104.1101.1141237040932.98587629590747
9699102.34364344737-3.34364344737018
97110.7102.1875990112558.51240098874455
98107.7104.7171384198162.98286158018391
99113.2106.2730799104626.92692008953766
100114.3108.8866991866915.41330081330938
101107.1111.418221366919-4.31822136691909
102109.6111.852462638204-2.25246263820419
10389.2112.604769152528-23.4047691525282
10496.1108.236065310441-12.136065310441
105118.7105.60846779039313.0915322096067
106120.8108.49388288553212.3061171144681
107105111.717694736803-6.71769473680303
108109.8110.910760937546-1.11076093754606
10996.1111.167829822146-15.0678298221456
11097.8108.060931716024-10.2609317160243
111108.3105.4927823338132.80721766618726
11299.1105.620991202915-6.52099120291528
11393.6103.64329107011-10.0432910701102
114100.1100.566281080455-0.466281080455346
11580.999.3640634821647-18.4640634821647
11687.593.8627314088883-6.36273140888828
117107.490.498735310540716.9012646894594
118107.192.412357257716514.6876427422835
11999.594.47754053921765.0224594607824
120101.894.83327824650116.96672175349887
1219295.8529050061251-3.85290500612507
12295.894.57878563150941.22121436849059
12311094.356876321258415.6431236787416
12499.497.61391795086241.7860820491376
12594.498.2028961825967-3.80289618259668
126105.497.53430102187567.8656989781244
12784.199.4882848829372-15.3882848829372
12892.396.2273263259994-3.92732632599945
129109.895.074794590948214.7252054090518
130106.898.20083825772348.59916174227656
131103.8100.4606560618493.33934393815134
132106.2101.8145043528334.38549564716736
13391.2103.551122850146-12.3511228501463
13494.7101.483207517685-6.7832075176846
135109.9100.2440193697489.65598063025182
13693.7102.642438456954-8.94243845695389
137101.4101.0049676683170.395032331682827
13893.6101.229482522946-7.62948252294625
13978.399.5613762134045-21.2613762134045
14091.894.3451282726187-2.5451282726187
141107.892.727220773120915.0727792268791
14298.895.19727373516483.60272626483517
14398.695.54407984194283.05592015805718
14499.995.90536942624913.99463057375095
14589.796.612506390063-6.91250639006299
14694.494.885853563179-0.485853563178978
147103.294.41034177802358.78965822197654
14889.996.1213320205004-6.22133202050037
14992.694.6148756369296-2.01487563692957
15097.893.85925923460213.94074076539793
15181.194.4392352095147-13.3392352095147
15291.291.06760856970820.13239143029179
153101.490.364807057031911.0351929429682
154105.392.260327618511213.0396723814888
15595.895.07527096943040.724729030569549
15691.395.4844653950995-4.18446539509951
15791.194.7551810579384-3.65518105793844
15888.893.9839084664465-5.18390846644648
15995.392.70242438354192.59757561645806
16089.493.0636465811632-3.66364658116322
16188.392.0399703653927-3.73997036539271
16287.490.8511678891129-3.45116788911287
16378.989.5810151777099-10.6810151777099
16482.286.4529392386295-4.25293923862949
16594.584.425161860403410.0748381395966
16698.885.634341900636213.1656580993638
16788.187.98278239267560.117217607324406
16886.587.7560806502501-1.25608065025006
16988.187.20747008717080.892529912829161
17085.887.1194730339376-1.3194730339376
1719486.54120134056077.45879865943927
17290.487.997730930922.40226906907996
17386.488.550891153659-2.15089115365902
17490.388.11754587932452.18245412067552
17582.188.6285120661391-6.52851206613907
17682.187.1553043605821-5.05530436058213
17797.785.770565575895311.9294344241047
17899.188.222500357648610.8774996423514
17985.990.9028257999828-5.00282579998276
18089.190.2427085653859-1.14270856538589
18185.790.2999442548193-4.59994425481925
18285.989.4891043837042-3.58910438370417
18399.988.734136778032711.1658632219673
18491.691.34435615587950.255643844120499
18582.991.8077403697329-8.90774036973292
18696.690.10205452883756.49794547116248
18781.591.7029485920123-10.2029485920123
1888489.5925501257994-5.59255012579939
189100.888.169330933683712.6306690663163
19010290.855780195273411.1442198047266
19192.993.6954110013304-0.795411001330351
19293.294.142513677753-0.942513677752999
19386.794.5227215223075-7.82272152230753
19491.693.2288002758128-1.62880027581281
19597.693.09415454802914.50584545197093
19692.894.3531678551416-1.55316785514162
19793.594.3519279408555-0.851927940855504
19895.594.45515546476491.04484453523511
19975.194.9753152595595-19.8753152595595
20090.990.56195388747390.338046112526129
20198.990.15859560878578.74140439121432
20295.591.76736758852743.73263241147257
20394.392.53558256552191.76441743447812
20490.392.9854390877627-2.68543908776266
20587.992.447770171239-4.54777017123898
20688.791.3594519273336-2.65945192733361
207100.390.53778950470859.7622104952915
20885.592.563679382546-7.063679382546
2099390.97950123940752.0204987605925
2109691.27243821855684.72756178144319
21177.692.2902515867739-14.6902515867739
21287.588.8795857631355-1.37958576313552







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21388.04526518381170.9848579671176105.105672400504
21487.483706467698469.9474417179559105.019971217441
21586.922147751585868.7560792766721105.088216226499
21686.360589035473267.4014034445351105.319774626411
21785.799030319360565.8794057955933105.718654843128
21885.237471603247964.1907367256091106.284206480887
21984.675912887135362.3396558532779107.012169920993
22084.114354171022760.332885219919107.895823122126
22183.552795454910158.1785654751734108.927025434647
22282.991236738797555.8854244553593110.097049022236
22382.429678022684953.4621852178315111.397170827538
22481.868119306572350.9171884140619112.819050199083

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 88.045265183811 & 70.9848579671176 & 105.105672400504 \tabularnewline
214 & 87.4837064676984 & 69.9474417179559 & 105.019971217441 \tabularnewline
215 & 86.9221477515858 & 68.7560792766721 & 105.088216226499 \tabularnewline
216 & 86.3605890354732 & 67.4014034445351 & 105.319774626411 \tabularnewline
217 & 85.7990303193605 & 65.8794057955933 & 105.718654843128 \tabularnewline
218 & 85.2374716032479 & 64.1907367256091 & 106.284206480887 \tabularnewline
219 & 84.6759128871353 & 62.3396558532779 & 107.012169920993 \tabularnewline
220 & 84.1143541710227 & 60.332885219919 & 107.895823122126 \tabularnewline
221 & 83.5527954549101 & 58.1785654751734 & 108.927025434647 \tabularnewline
222 & 82.9912367387975 & 55.8854244553593 & 110.097049022236 \tabularnewline
223 & 82.4296780226849 & 53.4621852178315 & 111.397170827538 \tabularnewline
224 & 81.8681193065723 & 50.9171884140619 & 112.819050199083 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309294&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]88.045265183811[/C][C]70.9848579671176[/C][C]105.105672400504[/C][/ROW]
[ROW][C]214[/C][C]87.4837064676984[/C][C]69.9474417179559[/C][C]105.019971217441[/C][/ROW]
[ROW][C]215[/C][C]86.9221477515858[/C][C]68.7560792766721[/C][C]105.088216226499[/C][/ROW]
[ROW][C]216[/C][C]86.3605890354732[/C][C]67.4014034445351[/C][C]105.319774626411[/C][/ROW]
[ROW][C]217[/C][C]85.7990303193605[/C][C]65.8794057955933[/C][C]105.718654843128[/C][/ROW]
[ROW][C]218[/C][C]85.2374716032479[/C][C]64.1907367256091[/C][C]106.284206480887[/C][/ROW]
[ROW][C]219[/C][C]84.6759128871353[/C][C]62.3396558532779[/C][C]107.012169920993[/C][/ROW]
[ROW][C]220[/C][C]84.1143541710227[/C][C]60.332885219919[/C][C]107.895823122126[/C][/ROW]
[ROW][C]221[/C][C]83.5527954549101[/C][C]58.1785654751734[/C][C]108.927025434647[/C][/ROW]
[ROW][C]222[/C][C]82.9912367387975[/C][C]55.8854244553593[/C][C]110.097049022236[/C][/ROW]
[ROW][C]223[/C][C]82.4296780226849[/C][C]53.4621852178315[/C][C]111.397170827538[/C][/ROW]
[ROW][C]224[/C][C]81.8681193065723[/C][C]50.9171884140619[/C][C]112.819050199083[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309294&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309294&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
21388.04526518381170.9848579671176105.105672400504
21487.483706467698469.9474417179559105.019971217441
21586.922147751585868.7560792766721105.088216226499
21686.360589035473267.4014034445351105.319774626411
21785.799030319360565.8794057955933105.718654843128
21885.237471603247964.1907367256091106.284206480887
21984.675912887135362.3396558532779107.012169920993
22084.114354171022760.332885219919107.895823122126
22183.552795454910158.1785654751734108.927025434647
22282.991236738797555.8854244553593110.097049022236
22382.429678022684953.4621852178315111.397170827538
22481.868119306572350.9171884140619112.819050199083



Parameters (Session):
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')