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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 computationMon, 04 Dec 2017 14:29:17 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/04/t1512394188pdgt4yzykmrejnj.htm/, Retrieved Tue, 14 May 2024 17:44:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308501, Retrieved Tue, 14 May 2024 17:44:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2017-12-04 13:29:17] [f1ade19563a25eb31edff11eb9af1158] [Current]
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Dataseries X:
76.7
82.7
95
81.8
91.8
88.2
72.2
75.9
91.2
94.2
90.4
73.1
84.3
82.8
92.8
83.5
90.4
91.8
75.5
75.1
89.1
95.4
85.2
68.4
81
78.8
85.7
88.1
82.7
90.1
79.1
71.5
91
99
84.2
68.1
81.3
84.1
88.1
87.8
83
91.5
81
67.1
90.8
94.7
79.3
75.5
80.2
81.1
96.9
88.4
81.6
98.9
78.5
74.5
97.3
93
86.4
80.6
83.7
86.7
95.8
94.8
88.8
103.3
77.8
81.2
102.8
97.2
94.7
85.2
92.7
91.1
103.5
92.7
102
105.9
84
86.4
105
108.6
103.5
85.2
101.8
99.1
112.8
100.7
107.2
113.8
94.4
90.9
105.5
118.2
108.5
83.9
108.6
109.5
106.5
116.5
104.6
112.3
101.2
86.9
112.8
110.4
91.2
80
86.9
85.1
95.6
92.6
87.7
98.7
85.6
77.4
102
101.9
91.9
81.6
91.6
92.9
109.3
103.8
96.8
117.4
93
89
110
106
100.4
90
97.4
101.6
117
97.7
110.8
103.1
86.1
92.9
112.9
102.4
103.3
89.8
96.5
102.2
112
100
103
112.4
94.5
92.6
104
108.4
100.1
79.1
100.9
97.4
101.7
104.9
103.1
108.2
99.9
85.6
106.8
113
99.3
84.2
104.3
99.1
107.3
111.7
99.9
107.5
101.3
86.1
113
114
96.4
85.5
99.5
102.4
117.9
110.2
99.2
121.8
103.1
89
112.5
114
103.7
89.5
102.1
107.3
118.3
112.3
107.9
121
95.8
96.1
114.9
109.8
106.7
89.5
104
106
124.6
106.8
115.4
120.5
95.5
97.8




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308501&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308501&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308501&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.200472975907033
beta0.261718913489945
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.200472975907033 \tabularnewline
beta & 0.261718913489945 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308501&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]0.200472975907033[/C][/ROW]
[ROW][C]beta[/C][C]0.261718913489945[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308501&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308501&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
alpha0.200472975907033
beta0.261718913489945
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39588.76.3
481.896.2935254356768-14.4935254356768
591.898.95807089546-7.15807089545999
688.2102.717610174798-14.5176101747981
772.2104.240056993575-32.0400569935755
875.9100.568662838296-24.6686628382964
991.297.080729225487-5.88072922548702
1094.297.0507210061941-2.85072100619411
1190.497.4785771493034-7.07857714930338
1273.196.68746665159-23.58746665159
1384.391.3491929020125-7.04919290201255
1482.888.9565420893065-6.15654208930647
1592.886.41982484189786.38017515810223
1683.586.7311328923195-3.23113289231954
1790.484.94610372612135.45389627387873
1891.885.18834088417026.6116591158298
1975.586.009575888303-10.509575888303
2075.182.8470540572651-7.74705405726512
2189.179.83187410201039.26812589798972
2295.480.714053947096514.6859460529035
2385.283.45289621586791.74710378413211
2468.483.6895165593372-15.2895165593372
258179.7085511513951.29144884860499
2678.879.119380404335-0.319380404335007
2785.778.19052480971837.50947519028173
2888.179.22514710509358.87485289490651
2982.780.99913269267181.70086730732824
3090.181.4241684139478.67583158605302
3179.183.7026957772012-4.60269577720122
3271.583.0777449839864-11.5777449839864
339180.44702918030110.552970819699
349982.806612561998116.1933874380019
3584.287.1465747283694-2.94657472836944
3668.187.4948921063339-19.3948921063339
3781.383.5281635025335-2.22816350253352
3884.182.88599374523591.21400625476413
3988.182.99758196023155.10241803976852
4087.884.15640313012463.64359686987538
418385.2139407505491-2.21394075054914
4291.584.98104028265766.51895971734237
438186.8408843315006-5.8408843315006
4467.185.91645665788-18.81645665788
4590.881.40352363960969.39647636039037
4694.783.039531538493611.6604684615064
4779.385.7412051100076-6.44120511000764
4875.584.4760279353657-8.97602793536572
4980.282.2317369165466-2.03173691654661
5081.181.272988286085-0.17298828608503
5196.980.67779225012316.222207749877
5288.484.22052976563164.17947023436838
5381.685.5683104980768-3.96831049807682
5498.985.074473773439413.8255262265606
5578.588.8732122071096-10.3732122071096
5674.587.2765003020093-12.7765003020093
5797.384.527642163786112.7723578362139
589387.57077421922385.42922578077621
5986.489.4266650196797-3.02666501967967
6080.689.4285764703362-8.82857647033619
6183.787.8041475175302-4.10414751753015
6286.786.9115042514927-0.211504251492698
6395.886.78813365114059.01186634885947
6494.888.98663032636355.81336967363649
6588.890.8489282316989-2.04892823169888
66103.391.027545594212912.2724544057871
6777.894.7211190068833-16.9211190068833
6881.291.6743598936848-10.4743598936848
69102.889.370437559819313.4295624401807
7097.292.56322217193314.63677782806687
7194.794.23657154901180.463428450988175
7285.295.0975921213998-9.89759212139978
7392.793.3622054643038-0.662205464303796
7491.193.4435199428271-2.34351994282706
75103.593.064817509074410.4351824909256
7692.795.7954082423925-3.09540824239254
7710295.6510726387246.34892736127595
78105.997.73318388617548.16681611382464
7984100.608225693261-16.6082256932615
8086.497.6451479062487-11.2451479062486
8110595.1672167046029.83278329539796
82108.697.430743337238111.1692566627619
83103.5100.548220512582.95177948742015
8485.2102.173188279356-16.973188279356
85101.898.91319652843532.88680347156475
8699.199.7860599869103-0.686059986910308
87112.899.906664975353212.8933350246468
88100.7103.426053643479-2.72605364347935
89107.2103.6711475746253.52885242537464
90113.8105.355331449088.44466855091997
9194.4108.468074844815-14.0680748448149
9290.9106.329503882389-15.4295038823893
93105.5103.1084546229642.39154537703571
94118.2103.58552271549714.6144772845031
95108.5107.279744443561.22025555643958
9683.9108.352810524981-24.4528105249805
97108.6102.9961411142155.60385888578503
98109.5103.9590425212935.54095747870717
99106.5105.2000544673751.29994553262517
100116.5105.65906311026810.8409368897322
101104.6108.599580292663-3.99958029266347
102112.3108.3551265747753.94487342522528
103101.2109.910299056031-8.71029905603088
10486.9108.471443228801-21.5714432288005
105112.8103.322474360199.47752563980974
106110.4104.8952474141275.50475258587316
10791.2105.960407819878-14.7604078198785
10880102.188508489626-22.1885084896258
10986.995.7632986028561-8.86329860285608
11085.191.5443974617735-6.44439746177352
11195.687.47229875955398.12770124044611
11292.686.74795277858765.85204722141239
11387.785.87444235823761.82555764176242
11498.784.289512161729614.4104878382704
11585.685.9836036445948-0.383603644594771
11677.484.6917528311894-7.29175283118941
11710281.63242424433920.367575755661
118101.985.186680766138716.7133192338613
11991.988.88526484573573.01473515426433
12081.689.9958288352282-8.39582883522816
12191.688.37837437256353.22162562743651
12292.989.2589364448063.64106355519402
123109.390.414622241546418.8853777584536
124103.895.61725094118988.18274905881024
12596.899.1036207698284-2.30362076982843
126117.4100.36689144975717.0331085502428
12793106.400339606403-13.4003396064027
12889105.629620595175-16.6296205951747
129110103.3390022407756.66099775922532
130106106.067009821058-0.0670098210579226
131100.4107.442717857357-7.04271785735726
13290107.050470656345-17.0504706563445
13397.4103.757342716456-6.35734271645627
134101.6102.274343636012-0.674343636012168
135117101.89525112175415.1047488782463
13697.7105.471949701561-7.77194970156135
137110.8104.0547131275086.74528687249234
138103.1105.901698978766-2.80169897876591
13986.1105.687773829766-19.587773829766
14092.9101.080971418029-8.18097141802922
141112.998.331688945407214.5683110545928
142102.4100.907386701681.49261329832034
143103.3100.9400742085662.35992579143426
14489.8101.270454002319-11.4704540023194
14596.598.2263895590372-1.7263895590372
146102.297.0451672480635.15483275193699
14711297.513905597003714.4860944029963
148100100.613359902081-0.613359902081086
149103100.6536001647942.34639983520587
150112.4101.41030216629510.989697833705
15194.5104.476354573404-9.97635457340419
15292.6102.815844985114-10.2158449851144
153104100.5713234851593.4286765148415
154108.4101.2420541382517.15794586174917
155100.1103.035962536815-2.93596253681488
15679.1102.652272261917-23.5522722619167
157100.996.899838543874.00016145613003
15897.496.88080195572610.519198044273949
159101.796.19116733282415.50883266717589
160104.996.79085467195418.10914532804588
161103.198.33730157408354.7626984259165
162108.299.46276351740458.73723648259555
16399.9101.843434494655-1.94343449465465
16485.6101.980952292114-16.3809522921142
165106.898.36466918015128.43533081984876
166113100.16596150012212.834038499878
16799.3103.522446645022-4.2224466450218
16884.2103.238025941861-19.0380259418615
169104.398.98460301920085.31539698079919
17099.199.8922692235517-0.792269223551656
171107.399.53394496756887.76605503243118
172111.7101.29879947563710.4012005243626
17399.9104.137655153177-4.237655153177
174107.5103.8194764031613.68052359683894
175101.3105.281786638312-3.98178663831177
17686.1104.999096071364-18.899096071364
177113100.73429845439712.2657015456026
178114103.360752106810.6392478931999
17996.4106.21936123294-9.81936123294047
18085.5104.461374087314-18.9613740873138
18199.599.8758032074154-0.375803207415387
182102.498.9964195498613.403580450139
183117.999.053277774838118.8467222251619
184110.2103.1949102958457.00508970415521
18599.2105.330155536243-6.13015553624332
186121.8104.51050471276417.2894952872361
187103.1109.29299877911-6.19299877911045
18889109.042955784782-20.0429557847818
189112.5104.9647655189517.53523448104875
190114106.8106125642127.18938743578819
191103.7108.964336307608-5.26433630760771
19289.5108.345218060274-18.845218060274
193102.1104.014737245381-1.91473724538096
194107.3102.9778986936084.32210130639201
195118.3103.41814787697414.8818521230261
196112.3106.7561563410255.54384365897461
197107.9108.513018461377-0.613018461376697
198121109.00343252152311.9965674784774
19995.8112.651158537187-16.851158537187
20096.1109.631555739672-13.5315557396716
201114.9106.5674757534218.33252424657853
202109.8108.323740241991.47625975801044
203106.7108.782964746291-2.08296474629134
20489.5108.419372824831-18.9193728248305
205104103.687882564860.312117435139598
206106102.8281624316353.17183756836525
207124.6102.70815751164421.8918424883561
208106.8107.489619452852-0.689619452852114
209115.4107.7079258618467.69207413815376
210120.5110.0101197621410.4898802378602
21195.5113.423576697034-17.9235766970337
21297.8110.200496859445-12.4004968594454

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 95 & 88.7 & 6.3 \tabularnewline
4 & 81.8 & 96.2935254356768 & -14.4935254356768 \tabularnewline
5 & 91.8 & 98.95807089546 & -7.15807089545999 \tabularnewline
6 & 88.2 & 102.717610174798 & -14.5176101747981 \tabularnewline
7 & 72.2 & 104.240056993575 & -32.0400569935755 \tabularnewline
8 & 75.9 & 100.568662838296 & -24.6686628382964 \tabularnewline
9 & 91.2 & 97.080729225487 & -5.88072922548702 \tabularnewline
10 & 94.2 & 97.0507210061941 & -2.85072100619411 \tabularnewline
11 & 90.4 & 97.4785771493034 & -7.07857714930338 \tabularnewline
12 & 73.1 & 96.68746665159 & -23.58746665159 \tabularnewline
13 & 84.3 & 91.3491929020125 & -7.04919290201255 \tabularnewline
14 & 82.8 & 88.9565420893065 & -6.15654208930647 \tabularnewline
15 & 92.8 & 86.4198248418978 & 6.38017515810223 \tabularnewline
16 & 83.5 & 86.7311328923195 & -3.23113289231954 \tabularnewline
17 & 90.4 & 84.9461037261213 & 5.45389627387873 \tabularnewline
18 & 91.8 & 85.1883408841702 & 6.6116591158298 \tabularnewline
19 & 75.5 & 86.009575888303 & -10.509575888303 \tabularnewline
20 & 75.1 & 82.8470540572651 & -7.74705405726512 \tabularnewline
21 & 89.1 & 79.8318741020103 & 9.26812589798972 \tabularnewline
22 & 95.4 & 80.7140539470965 & 14.6859460529035 \tabularnewline
23 & 85.2 & 83.4528962158679 & 1.74710378413211 \tabularnewline
24 & 68.4 & 83.6895165593372 & -15.2895165593372 \tabularnewline
25 & 81 & 79.708551151395 & 1.29144884860499 \tabularnewline
26 & 78.8 & 79.119380404335 & -0.319380404335007 \tabularnewline
27 & 85.7 & 78.1905248097183 & 7.50947519028173 \tabularnewline
28 & 88.1 & 79.2251471050935 & 8.87485289490651 \tabularnewline
29 & 82.7 & 80.9991326926718 & 1.70086730732824 \tabularnewline
30 & 90.1 & 81.424168413947 & 8.67583158605302 \tabularnewline
31 & 79.1 & 83.7026957772012 & -4.60269577720122 \tabularnewline
32 & 71.5 & 83.0777449839864 & -11.5777449839864 \tabularnewline
33 & 91 & 80.447029180301 & 10.552970819699 \tabularnewline
34 & 99 & 82.8066125619981 & 16.1933874380019 \tabularnewline
35 & 84.2 & 87.1465747283694 & -2.94657472836944 \tabularnewline
36 & 68.1 & 87.4948921063339 & -19.3948921063339 \tabularnewline
37 & 81.3 & 83.5281635025335 & -2.22816350253352 \tabularnewline
38 & 84.1 & 82.8859937452359 & 1.21400625476413 \tabularnewline
39 & 88.1 & 82.9975819602315 & 5.10241803976852 \tabularnewline
40 & 87.8 & 84.1564031301246 & 3.64359686987538 \tabularnewline
41 & 83 & 85.2139407505491 & -2.21394075054914 \tabularnewline
42 & 91.5 & 84.9810402826576 & 6.51895971734237 \tabularnewline
43 & 81 & 86.8408843315006 & -5.8408843315006 \tabularnewline
44 & 67.1 & 85.91645665788 & -18.81645665788 \tabularnewline
45 & 90.8 & 81.4035236396096 & 9.39647636039037 \tabularnewline
46 & 94.7 & 83.0395315384936 & 11.6604684615064 \tabularnewline
47 & 79.3 & 85.7412051100076 & -6.44120511000764 \tabularnewline
48 & 75.5 & 84.4760279353657 & -8.97602793536572 \tabularnewline
49 & 80.2 & 82.2317369165466 & -2.03173691654661 \tabularnewline
50 & 81.1 & 81.272988286085 & -0.17298828608503 \tabularnewline
51 & 96.9 & 80.677792250123 & 16.222207749877 \tabularnewline
52 & 88.4 & 84.2205297656316 & 4.17947023436838 \tabularnewline
53 & 81.6 & 85.5683104980768 & -3.96831049807682 \tabularnewline
54 & 98.9 & 85.0744737734394 & 13.8255262265606 \tabularnewline
55 & 78.5 & 88.8732122071096 & -10.3732122071096 \tabularnewline
56 & 74.5 & 87.2765003020093 & -12.7765003020093 \tabularnewline
57 & 97.3 & 84.5276421637861 & 12.7723578362139 \tabularnewline
58 & 93 & 87.5707742192238 & 5.42922578077621 \tabularnewline
59 & 86.4 & 89.4266650196797 & -3.02666501967967 \tabularnewline
60 & 80.6 & 89.4285764703362 & -8.82857647033619 \tabularnewline
61 & 83.7 & 87.8041475175302 & -4.10414751753015 \tabularnewline
62 & 86.7 & 86.9115042514927 & -0.211504251492698 \tabularnewline
63 & 95.8 & 86.7881336511405 & 9.01186634885947 \tabularnewline
64 & 94.8 & 88.9866303263635 & 5.81336967363649 \tabularnewline
65 & 88.8 & 90.8489282316989 & -2.04892823169888 \tabularnewline
66 & 103.3 & 91.0275455942129 & 12.2724544057871 \tabularnewline
67 & 77.8 & 94.7211190068833 & -16.9211190068833 \tabularnewline
68 & 81.2 & 91.6743598936848 & -10.4743598936848 \tabularnewline
69 & 102.8 & 89.3704375598193 & 13.4295624401807 \tabularnewline
70 & 97.2 & 92.5632221719331 & 4.63677782806687 \tabularnewline
71 & 94.7 & 94.2365715490118 & 0.463428450988175 \tabularnewline
72 & 85.2 & 95.0975921213998 & -9.89759212139978 \tabularnewline
73 & 92.7 & 93.3622054643038 & -0.662205464303796 \tabularnewline
74 & 91.1 & 93.4435199428271 & -2.34351994282706 \tabularnewline
75 & 103.5 & 93.0648175090744 & 10.4351824909256 \tabularnewline
76 & 92.7 & 95.7954082423925 & -3.09540824239254 \tabularnewline
77 & 102 & 95.651072638724 & 6.34892736127595 \tabularnewline
78 & 105.9 & 97.7331838861754 & 8.16681611382464 \tabularnewline
79 & 84 & 100.608225693261 & -16.6082256932615 \tabularnewline
80 & 86.4 & 97.6451479062487 & -11.2451479062486 \tabularnewline
81 & 105 & 95.167216704602 & 9.83278329539796 \tabularnewline
82 & 108.6 & 97.4307433372381 & 11.1692566627619 \tabularnewline
83 & 103.5 & 100.54822051258 & 2.95177948742015 \tabularnewline
84 & 85.2 & 102.173188279356 & -16.973188279356 \tabularnewline
85 & 101.8 & 98.9131965284353 & 2.88680347156475 \tabularnewline
86 & 99.1 & 99.7860599869103 & -0.686059986910308 \tabularnewline
87 & 112.8 & 99.9066649753532 & 12.8933350246468 \tabularnewline
88 & 100.7 & 103.426053643479 & -2.72605364347935 \tabularnewline
89 & 107.2 & 103.671147574625 & 3.52885242537464 \tabularnewline
90 & 113.8 & 105.35533144908 & 8.44466855091997 \tabularnewline
91 & 94.4 & 108.468074844815 & -14.0680748448149 \tabularnewline
92 & 90.9 & 106.329503882389 & -15.4295038823893 \tabularnewline
93 & 105.5 & 103.108454622964 & 2.39154537703571 \tabularnewline
94 & 118.2 & 103.585522715497 & 14.6144772845031 \tabularnewline
95 & 108.5 & 107.27974444356 & 1.22025555643958 \tabularnewline
96 & 83.9 & 108.352810524981 & -24.4528105249805 \tabularnewline
97 & 108.6 & 102.996141114215 & 5.60385888578503 \tabularnewline
98 & 109.5 & 103.959042521293 & 5.54095747870717 \tabularnewline
99 & 106.5 & 105.200054467375 & 1.29994553262517 \tabularnewline
100 & 116.5 & 105.659063110268 & 10.8409368897322 \tabularnewline
101 & 104.6 & 108.599580292663 & -3.99958029266347 \tabularnewline
102 & 112.3 & 108.355126574775 & 3.94487342522528 \tabularnewline
103 & 101.2 & 109.910299056031 & -8.71029905603088 \tabularnewline
104 & 86.9 & 108.471443228801 & -21.5714432288005 \tabularnewline
105 & 112.8 & 103.32247436019 & 9.47752563980974 \tabularnewline
106 & 110.4 & 104.895247414127 & 5.50475258587316 \tabularnewline
107 & 91.2 & 105.960407819878 & -14.7604078198785 \tabularnewline
108 & 80 & 102.188508489626 & -22.1885084896258 \tabularnewline
109 & 86.9 & 95.7632986028561 & -8.86329860285608 \tabularnewline
110 & 85.1 & 91.5443974617735 & -6.44439746177352 \tabularnewline
111 & 95.6 & 87.4722987595539 & 8.12770124044611 \tabularnewline
112 & 92.6 & 86.7479527785876 & 5.85204722141239 \tabularnewline
113 & 87.7 & 85.8744423582376 & 1.82555764176242 \tabularnewline
114 & 98.7 & 84.2895121617296 & 14.4104878382704 \tabularnewline
115 & 85.6 & 85.9836036445948 & -0.383603644594771 \tabularnewline
116 & 77.4 & 84.6917528311894 & -7.29175283118941 \tabularnewline
117 & 102 & 81.632424244339 & 20.367575755661 \tabularnewline
118 & 101.9 & 85.1866807661387 & 16.7133192338613 \tabularnewline
119 & 91.9 & 88.8852648457357 & 3.01473515426433 \tabularnewline
120 & 81.6 & 89.9958288352282 & -8.39582883522816 \tabularnewline
121 & 91.6 & 88.3783743725635 & 3.22162562743651 \tabularnewline
122 & 92.9 & 89.258936444806 & 3.64106355519402 \tabularnewline
123 & 109.3 & 90.4146222415464 & 18.8853777584536 \tabularnewline
124 & 103.8 & 95.6172509411898 & 8.18274905881024 \tabularnewline
125 & 96.8 & 99.1036207698284 & -2.30362076982843 \tabularnewline
126 & 117.4 & 100.366891449757 & 17.0331085502428 \tabularnewline
127 & 93 & 106.400339606403 & -13.4003396064027 \tabularnewline
128 & 89 & 105.629620595175 & -16.6296205951747 \tabularnewline
129 & 110 & 103.339002240775 & 6.66099775922532 \tabularnewline
130 & 106 & 106.067009821058 & -0.0670098210579226 \tabularnewline
131 & 100.4 & 107.442717857357 & -7.04271785735726 \tabularnewline
132 & 90 & 107.050470656345 & -17.0504706563445 \tabularnewline
133 & 97.4 & 103.757342716456 & -6.35734271645627 \tabularnewline
134 & 101.6 & 102.274343636012 & -0.674343636012168 \tabularnewline
135 & 117 & 101.895251121754 & 15.1047488782463 \tabularnewline
136 & 97.7 & 105.471949701561 & -7.77194970156135 \tabularnewline
137 & 110.8 & 104.054713127508 & 6.74528687249234 \tabularnewline
138 & 103.1 & 105.901698978766 & -2.80169897876591 \tabularnewline
139 & 86.1 & 105.687773829766 & -19.587773829766 \tabularnewline
140 & 92.9 & 101.080971418029 & -8.18097141802922 \tabularnewline
141 & 112.9 & 98.3316889454072 & 14.5683110545928 \tabularnewline
142 & 102.4 & 100.90738670168 & 1.49261329832034 \tabularnewline
143 & 103.3 & 100.940074208566 & 2.35992579143426 \tabularnewline
144 & 89.8 & 101.270454002319 & -11.4704540023194 \tabularnewline
145 & 96.5 & 98.2263895590372 & -1.7263895590372 \tabularnewline
146 & 102.2 & 97.045167248063 & 5.15483275193699 \tabularnewline
147 & 112 & 97.5139055970037 & 14.4860944029963 \tabularnewline
148 & 100 & 100.613359902081 & -0.613359902081086 \tabularnewline
149 & 103 & 100.653600164794 & 2.34639983520587 \tabularnewline
150 & 112.4 & 101.410302166295 & 10.989697833705 \tabularnewline
151 & 94.5 & 104.476354573404 & -9.97635457340419 \tabularnewline
152 & 92.6 & 102.815844985114 & -10.2158449851144 \tabularnewline
153 & 104 & 100.571323485159 & 3.4286765148415 \tabularnewline
154 & 108.4 & 101.242054138251 & 7.15794586174917 \tabularnewline
155 & 100.1 & 103.035962536815 & -2.93596253681488 \tabularnewline
156 & 79.1 & 102.652272261917 & -23.5522722619167 \tabularnewline
157 & 100.9 & 96.89983854387 & 4.00016145613003 \tabularnewline
158 & 97.4 & 96.8808019557261 & 0.519198044273949 \tabularnewline
159 & 101.7 & 96.1911673328241 & 5.50883266717589 \tabularnewline
160 & 104.9 & 96.7908546719541 & 8.10914532804588 \tabularnewline
161 & 103.1 & 98.3373015740835 & 4.7626984259165 \tabularnewline
162 & 108.2 & 99.4627635174045 & 8.73723648259555 \tabularnewline
163 & 99.9 & 101.843434494655 & -1.94343449465465 \tabularnewline
164 & 85.6 & 101.980952292114 & -16.3809522921142 \tabularnewline
165 & 106.8 & 98.3646691801512 & 8.43533081984876 \tabularnewline
166 & 113 & 100.165961500122 & 12.834038499878 \tabularnewline
167 & 99.3 & 103.522446645022 & -4.2224466450218 \tabularnewline
168 & 84.2 & 103.238025941861 & -19.0380259418615 \tabularnewline
169 & 104.3 & 98.9846030192008 & 5.31539698079919 \tabularnewline
170 & 99.1 & 99.8922692235517 & -0.792269223551656 \tabularnewline
171 & 107.3 & 99.5339449675688 & 7.76605503243118 \tabularnewline
172 & 111.7 & 101.298799475637 & 10.4012005243626 \tabularnewline
173 & 99.9 & 104.137655153177 & -4.237655153177 \tabularnewline
174 & 107.5 & 103.819476403161 & 3.68052359683894 \tabularnewline
175 & 101.3 & 105.281786638312 & -3.98178663831177 \tabularnewline
176 & 86.1 & 104.999096071364 & -18.899096071364 \tabularnewline
177 & 113 & 100.734298454397 & 12.2657015456026 \tabularnewline
178 & 114 & 103.3607521068 & 10.6392478931999 \tabularnewline
179 & 96.4 & 106.21936123294 & -9.81936123294047 \tabularnewline
180 & 85.5 & 104.461374087314 & -18.9613740873138 \tabularnewline
181 & 99.5 & 99.8758032074154 & -0.375803207415387 \tabularnewline
182 & 102.4 & 98.996419549861 & 3.403580450139 \tabularnewline
183 & 117.9 & 99.0532777748381 & 18.8467222251619 \tabularnewline
184 & 110.2 & 103.194910295845 & 7.00508970415521 \tabularnewline
185 & 99.2 & 105.330155536243 & -6.13015553624332 \tabularnewline
186 & 121.8 & 104.510504712764 & 17.2894952872361 \tabularnewline
187 & 103.1 & 109.29299877911 & -6.19299877911045 \tabularnewline
188 & 89 & 109.042955784782 & -20.0429557847818 \tabularnewline
189 & 112.5 & 104.964765518951 & 7.53523448104875 \tabularnewline
190 & 114 & 106.810612564212 & 7.18938743578819 \tabularnewline
191 & 103.7 & 108.964336307608 & -5.26433630760771 \tabularnewline
192 & 89.5 & 108.345218060274 & -18.845218060274 \tabularnewline
193 & 102.1 & 104.014737245381 & -1.91473724538096 \tabularnewline
194 & 107.3 & 102.977898693608 & 4.32210130639201 \tabularnewline
195 & 118.3 & 103.418147876974 & 14.8818521230261 \tabularnewline
196 & 112.3 & 106.756156341025 & 5.54384365897461 \tabularnewline
197 & 107.9 & 108.513018461377 & -0.613018461376697 \tabularnewline
198 & 121 & 109.003432521523 & 11.9965674784774 \tabularnewline
199 & 95.8 & 112.651158537187 & -16.851158537187 \tabularnewline
200 & 96.1 & 109.631555739672 & -13.5315557396716 \tabularnewline
201 & 114.9 & 106.567475753421 & 8.33252424657853 \tabularnewline
202 & 109.8 & 108.32374024199 & 1.47625975801044 \tabularnewline
203 & 106.7 & 108.782964746291 & -2.08296474629134 \tabularnewline
204 & 89.5 & 108.419372824831 & -18.9193728248305 \tabularnewline
205 & 104 & 103.68788256486 & 0.312117435139598 \tabularnewline
206 & 106 & 102.828162431635 & 3.17183756836525 \tabularnewline
207 & 124.6 & 102.708157511644 & 21.8918424883561 \tabularnewline
208 & 106.8 & 107.489619452852 & -0.689619452852114 \tabularnewline
209 & 115.4 & 107.707925861846 & 7.69207413815376 \tabularnewline
210 & 120.5 & 110.01011976214 & 10.4898802378602 \tabularnewline
211 & 95.5 & 113.423576697034 & -17.9235766970337 \tabularnewline
212 & 97.8 & 110.200496859445 & -12.4004968594454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308501&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]95[/C][C]88.7[/C][C]6.3[/C][/ROW]
[ROW][C]4[/C][C]81.8[/C][C]96.2935254356768[/C][C]-14.4935254356768[/C][/ROW]
[ROW][C]5[/C][C]91.8[/C][C]98.95807089546[/C][C]-7.15807089545999[/C][/ROW]
[ROW][C]6[/C][C]88.2[/C][C]102.717610174798[/C][C]-14.5176101747981[/C][/ROW]
[ROW][C]7[/C][C]72.2[/C][C]104.240056993575[/C][C]-32.0400569935755[/C][/ROW]
[ROW][C]8[/C][C]75.9[/C][C]100.568662838296[/C][C]-24.6686628382964[/C][/ROW]
[ROW][C]9[/C][C]91.2[/C][C]97.080729225487[/C][C]-5.88072922548702[/C][/ROW]
[ROW][C]10[/C][C]94.2[/C][C]97.0507210061941[/C][C]-2.85072100619411[/C][/ROW]
[ROW][C]11[/C][C]90.4[/C][C]97.4785771493034[/C][C]-7.07857714930338[/C][/ROW]
[ROW][C]12[/C][C]73.1[/C][C]96.68746665159[/C][C]-23.58746665159[/C][/ROW]
[ROW][C]13[/C][C]84.3[/C][C]91.3491929020125[/C][C]-7.04919290201255[/C][/ROW]
[ROW][C]14[/C][C]82.8[/C][C]88.9565420893065[/C][C]-6.15654208930647[/C][/ROW]
[ROW][C]15[/C][C]92.8[/C][C]86.4198248418978[/C][C]6.38017515810223[/C][/ROW]
[ROW][C]16[/C][C]83.5[/C][C]86.7311328923195[/C][C]-3.23113289231954[/C][/ROW]
[ROW][C]17[/C][C]90.4[/C][C]84.9461037261213[/C][C]5.45389627387873[/C][/ROW]
[ROW][C]18[/C][C]91.8[/C][C]85.1883408841702[/C][C]6.6116591158298[/C][/ROW]
[ROW][C]19[/C][C]75.5[/C][C]86.009575888303[/C][C]-10.509575888303[/C][/ROW]
[ROW][C]20[/C][C]75.1[/C][C]82.8470540572651[/C][C]-7.74705405726512[/C][/ROW]
[ROW][C]21[/C][C]89.1[/C][C]79.8318741020103[/C][C]9.26812589798972[/C][/ROW]
[ROW][C]22[/C][C]95.4[/C][C]80.7140539470965[/C][C]14.6859460529035[/C][/ROW]
[ROW][C]23[/C][C]85.2[/C][C]83.4528962158679[/C][C]1.74710378413211[/C][/ROW]
[ROW][C]24[/C][C]68.4[/C][C]83.6895165593372[/C][C]-15.2895165593372[/C][/ROW]
[ROW][C]25[/C][C]81[/C][C]79.708551151395[/C][C]1.29144884860499[/C][/ROW]
[ROW][C]26[/C][C]78.8[/C][C]79.119380404335[/C][C]-0.319380404335007[/C][/ROW]
[ROW][C]27[/C][C]85.7[/C][C]78.1905248097183[/C][C]7.50947519028173[/C][/ROW]
[ROW][C]28[/C][C]88.1[/C][C]79.2251471050935[/C][C]8.87485289490651[/C][/ROW]
[ROW][C]29[/C][C]82.7[/C][C]80.9991326926718[/C][C]1.70086730732824[/C][/ROW]
[ROW][C]30[/C][C]90.1[/C][C]81.424168413947[/C][C]8.67583158605302[/C][/ROW]
[ROW][C]31[/C][C]79.1[/C][C]83.7026957772012[/C][C]-4.60269577720122[/C][/ROW]
[ROW][C]32[/C][C]71.5[/C][C]83.0777449839864[/C][C]-11.5777449839864[/C][/ROW]
[ROW][C]33[/C][C]91[/C][C]80.447029180301[/C][C]10.552970819699[/C][/ROW]
[ROW][C]34[/C][C]99[/C][C]82.8066125619981[/C][C]16.1933874380019[/C][/ROW]
[ROW][C]35[/C][C]84.2[/C][C]87.1465747283694[/C][C]-2.94657472836944[/C][/ROW]
[ROW][C]36[/C][C]68.1[/C][C]87.4948921063339[/C][C]-19.3948921063339[/C][/ROW]
[ROW][C]37[/C][C]81.3[/C][C]83.5281635025335[/C][C]-2.22816350253352[/C][/ROW]
[ROW][C]38[/C][C]84.1[/C][C]82.8859937452359[/C][C]1.21400625476413[/C][/ROW]
[ROW][C]39[/C][C]88.1[/C][C]82.9975819602315[/C][C]5.10241803976852[/C][/ROW]
[ROW][C]40[/C][C]87.8[/C][C]84.1564031301246[/C][C]3.64359686987538[/C][/ROW]
[ROW][C]41[/C][C]83[/C][C]85.2139407505491[/C][C]-2.21394075054914[/C][/ROW]
[ROW][C]42[/C][C]91.5[/C][C]84.9810402826576[/C][C]6.51895971734237[/C][/ROW]
[ROW][C]43[/C][C]81[/C][C]86.8408843315006[/C][C]-5.8408843315006[/C][/ROW]
[ROW][C]44[/C][C]67.1[/C][C]85.91645665788[/C][C]-18.81645665788[/C][/ROW]
[ROW][C]45[/C][C]90.8[/C][C]81.4035236396096[/C][C]9.39647636039037[/C][/ROW]
[ROW][C]46[/C][C]94.7[/C][C]83.0395315384936[/C][C]11.6604684615064[/C][/ROW]
[ROW][C]47[/C][C]79.3[/C][C]85.7412051100076[/C][C]-6.44120511000764[/C][/ROW]
[ROW][C]48[/C][C]75.5[/C][C]84.4760279353657[/C][C]-8.97602793536572[/C][/ROW]
[ROW][C]49[/C][C]80.2[/C][C]82.2317369165466[/C][C]-2.03173691654661[/C][/ROW]
[ROW][C]50[/C][C]81.1[/C][C]81.272988286085[/C][C]-0.17298828608503[/C][/ROW]
[ROW][C]51[/C][C]96.9[/C][C]80.677792250123[/C][C]16.222207749877[/C][/ROW]
[ROW][C]52[/C][C]88.4[/C][C]84.2205297656316[/C][C]4.17947023436838[/C][/ROW]
[ROW][C]53[/C][C]81.6[/C][C]85.5683104980768[/C][C]-3.96831049807682[/C][/ROW]
[ROW][C]54[/C][C]98.9[/C][C]85.0744737734394[/C][C]13.8255262265606[/C][/ROW]
[ROW][C]55[/C][C]78.5[/C][C]88.8732122071096[/C][C]-10.3732122071096[/C][/ROW]
[ROW][C]56[/C][C]74.5[/C][C]87.2765003020093[/C][C]-12.7765003020093[/C][/ROW]
[ROW][C]57[/C][C]97.3[/C][C]84.5276421637861[/C][C]12.7723578362139[/C][/ROW]
[ROW][C]58[/C][C]93[/C][C]87.5707742192238[/C][C]5.42922578077621[/C][/ROW]
[ROW][C]59[/C][C]86.4[/C][C]89.4266650196797[/C][C]-3.02666501967967[/C][/ROW]
[ROW][C]60[/C][C]80.6[/C][C]89.4285764703362[/C][C]-8.82857647033619[/C][/ROW]
[ROW][C]61[/C][C]83.7[/C][C]87.8041475175302[/C][C]-4.10414751753015[/C][/ROW]
[ROW][C]62[/C][C]86.7[/C][C]86.9115042514927[/C][C]-0.211504251492698[/C][/ROW]
[ROW][C]63[/C][C]95.8[/C][C]86.7881336511405[/C][C]9.01186634885947[/C][/ROW]
[ROW][C]64[/C][C]94.8[/C][C]88.9866303263635[/C][C]5.81336967363649[/C][/ROW]
[ROW][C]65[/C][C]88.8[/C][C]90.8489282316989[/C][C]-2.04892823169888[/C][/ROW]
[ROW][C]66[/C][C]103.3[/C][C]91.0275455942129[/C][C]12.2724544057871[/C][/ROW]
[ROW][C]67[/C][C]77.8[/C][C]94.7211190068833[/C][C]-16.9211190068833[/C][/ROW]
[ROW][C]68[/C][C]81.2[/C][C]91.6743598936848[/C][C]-10.4743598936848[/C][/ROW]
[ROW][C]69[/C][C]102.8[/C][C]89.3704375598193[/C][C]13.4295624401807[/C][/ROW]
[ROW][C]70[/C][C]97.2[/C][C]92.5632221719331[/C][C]4.63677782806687[/C][/ROW]
[ROW][C]71[/C][C]94.7[/C][C]94.2365715490118[/C][C]0.463428450988175[/C][/ROW]
[ROW][C]72[/C][C]85.2[/C][C]95.0975921213998[/C][C]-9.89759212139978[/C][/ROW]
[ROW][C]73[/C][C]92.7[/C][C]93.3622054643038[/C][C]-0.662205464303796[/C][/ROW]
[ROW][C]74[/C][C]91.1[/C][C]93.4435199428271[/C][C]-2.34351994282706[/C][/ROW]
[ROW][C]75[/C][C]103.5[/C][C]93.0648175090744[/C][C]10.4351824909256[/C][/ROW]
[ROW][C]76[/C][C]92.7[/C][C]95.7954082423925[/C][C]-3.09540824239254[/C][/ROW]
[ROW][C]77[/C][C]102[/C][C]95.651072638724[/C][C]6.34892736127595[/C][/ROW]
[ROW][C]78[/C][C]105.9[/C][C]97.7331838861754[/C][C]8.16681611382464[/C][/ROW]
[ROW][C]79[/C][C]84[/C][C]100.608225693261[/C][C]-16.6082256932615[/C][/ROW]
[ROW][C]80[/C][C]86.4[/C][C]97.6451479062487[/C][C]-11.2451479062486[/C][/ROW]
[ROW][C]81[/C][C]105[/C][C]95.167216704602[/C][C]9.83278329539796[/C][/ROW]
[ROW][C]82[/C][C]108.6[/C][C]97.4307433372381[/C][C]11.1692566627619[/C][/ROW]
[ROW][C]83[/C][C]103.5[/C][C]100.54822051258[/C][C]2.95177948742015[/C][/ROW]
[ROW][C]84[/C][C]85.2[/C][C]102.173188279356[/C][C]-16.973188279356[/C][/ROW]
[ROW][C]85[/C][C]101.8[/C][C]98.9131965284353[/C][C]2.88680347156475[/C][/ROW]
[ROW][C]86[/C][C]99.1[/C][C]99.7860599869103[/C][C]-0.686059986910308[/C][/ROW]
[ROW][C]87[/C][C]112.8[/C][C]99.9066649753532[/C][C]12.8933350246468[/C][/ROW]
[ROW][C]88[/C][C]100.7[/C][C]103.426053643479[/C][C]-2.72605364347935[/C][/ROW]
[ROW][C]89[/C][C]107.2[/C][C]103.671147574625[/C][C]3.52885242537464[/C][/ROW]
[ROW][C]90[/C][C]113.8[/C][C]105.35533144908[/C][C]8.44466855091997[/C][/ROW]
[ROW][C]91[/C][C]94.4[/C][C]108.468074844815[/C][C]-14.0680748448149[/C][/ROW]
[ROW][C]92[/C][C]90.9[/C][C]106.329503882389[/C][C]-15.4295038823893[/C][/ROW]
[ROW][C]93[/C][C]105.5[/C][C]103.108454622964[/C][C]2.39154537703571[/C][/ROW]
[ROW][C]94[/C][C]118.2[/C][C]103.585522715497[/C][C]14.6144772845031[/C][/ROW]
[ROW][C]95[/C][C]108.5[/C][C]107.27974444356[/C][C]1.22025555643958[/C][/ROW]
[ROW][C]96[/C][C]83.9[/C][C]108.352810524981[/C][C]-24.4528105249805[/C][/ROW]
[ROW][C]97[/C][C]108.6[/C][C]102.996141114215[/C][C]5.60385888578503[/C][/ROW]
[ROW][C]98[/C][C]109.5[/C][C]103.959042521293[/C][C]5.54095747870717[/C][/ROW]
[ROW][C]99[/C][C]106.5[/C][C]105.200054467375[/C][C]1.29994553262517[/C][/ROW]
[ROW][C]100[/C][C]116.5[/C][C]105.659063110268[/C][C]10.8409368897322[/C][/ROW]
[ROW][C]101[/C][C]104.6[/C][C]108.599580292663[/C][C]-3.99958029266347[/C][/ROW]
[ROW][C]102[/C][C]112.3[/C][C]108.355126574775[/C][C]3.94487342522528[/C][/ROW]
[ROW][C]103[/C][C]101.2[/C][C]109.910299056031[/C][C]-8.71029905603088[/C][/ROW]
[ROW][C]104[/C][C]86.9[/C][C]108.471443228801[/C][C]-21.5714432288005[/C][/ROW]
[ROW][C]105[/C][C]112.8[/C][C]103.32247436019[/C][C]9.47752563980974[/C][/ROW]
[ROW][C]106[/C][C]110.4[/C][C]104.895247414127[/C][C]5.50475258587316[/C][/ROW]
[ROW][C]107[/C][C]91.2[/C][C]105.960407819878[/C][C]-14.7604078198785[/C][/ROW]
[ROW][C]108[/C][C]80[/C][C]102.188508489626[/C][C]-22.1885084896258[/C][/ROW]
[ROW][C]109[/C][C]86.9[/C][C]95.7632986028561[/C][C]-8.86329860285608[/C][/ROW]
[ROW][C]110[/C][C]85.1[/C][C]91.5443974617735[/C][C]-6.44439746177352[/C][/ROW]
[ROW][C]111[/C][C]95.6[/C][C]87.4722987595539[/C][C]8.12770124044611[/C][/ROW]
[ROW][C]112[/C][C]92.6[/C][C]86.7479527785876[/C][C]5.85204722141239[/C][/ROW]
[ROW][C]113[/C][C]87.7[/C][C]85.8744423582376[/C][C]1.82555764176242[/C][/ROW]
[ROW][C]114[/C][C]98.7[/C][C]84.2895121617296[/C][C]14.4104878382704[/C][/ROW]
[ROW][C]115[/C][C]85.6[/C][C]85.9836036445948[/C][C]-0.383603644594771[/C][/ROW]
[ROW][C]116[/C][C]77.4[/C][C]84.6917528311894[/C][C]-7.29175283118941[/C][/ROW]
[ROW][C]117[/C][C]102[/C][C]81.632424244339[/C][C]20.367575755661[/C][/ROW]
[ROW][C]118[/C][C]101.9[/C][C]85.1866807661387[/C][C]16.7133192338613[/C][/ROW]
[ROW][C]119[/C][C]91.9[/C][C]88.8852648457357[/C][C]3.01473515426433[/C][/ROW]
[ROW][C]120[/C][C]81.6[/C][C]89.9958288352282[/C][C]-8.39582883522816[/C][/ROW]
[ROW][C]121[/C][C]91.6[/C][C]88.3783743725635[/C][C]3.22162562743651[/C][/ROW]
[ROW][C]122[/C][C]92.9[/C][C]89.258936444806[/C][C]3.64106355519402[/C][/ROW]
[ROW][C]123[/C][C]109.3[/C][C]90.4146222415464[/C][C]18.8853777584536[/C][/ROW]
[ROW][C]124[/C][C]103.8[/C][C]95.6172509411898[/C][C]8.18274905881024[/C][/ROW]
[ROW][C]125[/C][C]96.8[/C][C]99.1036207698284[/C][C]-2.30362076982843[/C][/ROW]
[ROW][C]126[/C][C]117.4[/C][C]100.366891449757[/C][C]17.0331085502428[/C][/ROW]
[ROW][C]127[/C][C]93[/C][C]106.400339606403[/C][C]-13.4003396064027[/C][/ROW]
[ROW][C]128[/C][C]89[/C][C]105.629620595175[/C][C]-16.6296205951747[/C][/ROW]
[ROW][C]129[/C][C]110[/C][C]103.339002240775[/C][C]6.66099775922532[/C][/ROW]
[ROW][C]130[/C][C]106[/C][C]106.067009821058[/C][C]-0.0670098210579226[/C][/ROW]
[ROW][C]131[/C][C]100.4[/C][C]107.442717857357[/C][C]-7.04271785735726[/C][/ROW]
[ROW][C]132[/C][C]90[/C][C]107.050470656345[/C][C]-17.0504706563445[/C][/ROW]
[ROW][C]133[/C][C]97.4[/C][C]103.757342716456[/C][C]-6.35734271645627[/C][/ROW]
[ROW][C]134[/C][C]101.6[/C][C]102.274343636012[/C][C]-0.674343636012168[/C][/ROW]
[ROW][C]135[/C][C]117[/C][C]101.895251121754[/C][C]15.1047488782463[/C][/ROW]
[ROW][C]136[/C][C]97.7[/C][C]105.471949701561[/C][C]-7.77194970156135[/C][/ROW]
[ROW][C]137[/C][C]110.8[/C][C]104.054713127508[/C][C]6.74528687249234[/C][/ROW]
[ROW][C]138[/C][C]103.1[/C][C]105.901698978766[/C][C]-2.80169897876591[/C][/ROW]
[ROW][C]139[/C][C]86.1[/C][C]105.687773829766[/C][C]-19.587773829766[/C][/ROW]
[ROW][C]140[/C][C]92.9[/C][C]101.080971418029[/C][C]-8.18097141802922[/C][/ROW]
[ROW][C]141[/C][C]112.9[/C][C]98.3316889454072[/C][C]14.5683110545928[/C][/ROW]
[ROW][C]142[/C][C]102.4[/C][C]100.90738670168[/C][C]1.49261329832034[/C][/ROW]
[ROW][C]143[/C][C]103.3[/C][C]100.940074208566[/C][C]2.35992579143426[/C][/ROW]
[ROW][C]144[/C][C]89.8[/C][C]101.270454002319[/C][C]-11.4704540023194[/C][/ROW]
[ROW][C]145[/C][C]96.5[/C][C]98.2263895590372[/C][C]-1.7263895590372[/C][/ROW]
[ROW][C]146[/C][C]102.2[/C][C]97.045167248063[/C][C]5.15483275193699[/C][/ROW]
[ROW][C]147[/C][C]112[/C][C]97.5139055970037[/C][C]14.4860944029963[/C][/ROW]
[ROW][C]148[/C][C]100[/C][C]100.613359902081[/C][C]-0.613359902081086[/C][/ROW]
[ROW][C]149[/C][C]103[/C][C]100.653600164794[/C][C]2.34639983520587[/C][/ROW]
[ROW][C]150[/C][C]112.4[/C][C]101.410302166295[/C][C]10.989697833705[/C][/ROW]
[ROW][C]151[/C][C]94.5[/C][C]104.476354573404[/C][C]-9.97635457340419[/C][/ROW]
[ROW][C]152[/C][C]92.6[/C][C]102.815844985114[/C][C]-10.2158449851144[/C][/ROW]
[ROW][C]153[/C][C]104[/C][C]100.571323485159[/C][C]3.4286765148415[/C][/ROW]
[ROW][C]154[/C][C]108.4[/C][C]101.242054138251[/C][C]7.15794586174917[/C][/ROW]
[ROW][C]155[/C][C]100.1[/C][C]103.035962536815[/C][C]-2.93596253681488[/C][/ROW]
[ROW][C]156[/C][C]79.1[/C][C]102.652272261917[/C][C]-23.5522722619167[/C][/ROW]
[ROW][C]157[/C][C]100.9[/C][C]96.89983854387[/C][C]4.00016145613003[/C][/ROW]
[ROW][C]158[/C][C]97.4[/C][C]96.8808019557261[/C][C]0.519198044273949[/C][/ROW]
[ROW][C]159[/C][C]101.7[/C][C]96.1911673328241[/C][C]5.50883266717589[/C][/ROW]
[ROW][C]160[/C][C]104.9[/C][C]96.7908546719541[/C][C]8.10914532804588[/C][/ROW]
[ROW][C]161[/C][C]103.1[/C][C]98.3373015740835[/C][C]4.7626984259165[/C][/ROW]
[ROW][C]162[/C][C]108.2[/C][C]99.4627635174045[/C][C]8.73723648259555[/C][/ROW]
[ROW][C]163[/C][C]99.9[/C][C]101.843434494655[/C][C]-1.94343449465465[/C][/ROW]
[ROW][C]164[/C][C]85.6[/C][C]101.980952292114[/C][C]-16.3809522921142[/C][/ROW]
[ROW][C]165[/C][C]106.8[/C][C]98.3646691801512[/C][C]8.43533081984876[/C][/ROW]
[ROW][C]166[/C][C]113[/C][C]100.165961500122[/C][C]12.834038499878[/C][/ROW]
[ROW][C]167[/C][C]99.3[/C][C]103.522446645022[/C][C]-4.2224466450218[/C][/ROW]
[ROW][C]168[/C][C]84.2[/C][C]103.238025941861[/C][C]-19.0380259418615[/C][/ROW]
[ROW][C]169[/C][C]104.3[/C][C]98.9846030192008[/C][C]5.31539698079919[/C][/ROW]
[ROW][C]170[/C][C]99.1[/C][C]99.8922692235517[/C][C]-0.792269223551656[/C][/ROW]
[ROW][C]171[/C][C]107.3[/C][C]99.5339449675688[/C][C]7.76605503243118[/C][/ROW]
[ROW][C]172[/C][C]111.7[/C][C]101.298799475637[/C][C]10.4012005243626[/C][/ROW]
[ROW][C]173[/C][C]99.9[/C][C]104.137655153177[/C][C]-4.237655153177[/C][/ROW]
[ROW][C]174[/C][C]107.5[/C][C]103.819476403161[/C][C]3.68052359683894[/C][/ROW]
[ROW][C]175[/C][C]101.3[/C][C]105.281786638312[/C][C]-3.98178663831177[/C][/ROW]
[ROW][C]176[/C][C]86.1[/C][C]104.999096071364[/C][C]-18.899096071364[/C][/ROW]
[ROW][C]177[/C][C]113[/C][C]100.734298454397[/C][C]12.2657015456026[/C][/ROW]
[ROW][C]178[/C][C]114[/C][C]103.3607521068[/C][C]10.6392478931999[/C][/ROW]
[ROW][C]179[/C][C]96.4[/C][C]106.21936123294[/C][C]-9.81936123294047[/C][/ROW]
[ROW][C]180[/C][C]85.5[/C][C]104.461374087314[/C][C]-18.9613740873138[/C][/ROW]
[ROW][C]181[/C][C]99.5[/C][C]99.8758032074154[/C][C]-0.375803207415387[/C][/ROW]
[ROW][C]182[/C][C]102.4[/C][C]98.996419549861[/C][C]3.403580450139[/C][/ROW]
[ROW][C]183[/C][C]117.9[/C][C]99.0532777748381[/C][C]18.8467222251619[/C][/ROW]
[ROW][C]184[/C][C]110.2[/C][C]103.194910295845[/C][C]7.00508970415521[/C][/ROW]
[ROW][C]185[/C][C]99.2[/C][C]105.330155536243[/C][C]-6.13015553624332[/C][/ROW]
[ROW][C]186[/C][C]121.8[/C][C]104.510504712764[/C][C]17.2894952872361[/C][/ROW]
[ROW][C]187[/C][C]103.1[/C][C]109.29299877911[/C][C]-6.19299877911045[/C][/ROW]
[ROW][C]188[/C][C]89[/C][C]109.042955784782[/C][C]-20.0429557847818[/C][/ROW]
[ROW][C]189[/C][C]112.5[/C][C]104.964765518951[/C][C]7.53523448104875[/C][/ROW]
[ROW][C]190[/C][C]114[/C][C]106.810612564212[/C][C]7.18938743578819[/C][/ROW]
[ROW][C]191[/C][C]103.7[/C][C]108.964336307608[/C][C]-5.26433630760771[/C][/ROW]
[ROW][C]192[/C][C]89.5[/C][C]108.345218060274[/C][C]-18.845218060274[/C][/ROW]
[ROW][C]193[/C][C]102.1[/C][C]104.014737245381[/C][C]-1.91473724538096[/C][/ROW]
[ROW][C]194[/C][C]107.3[/C][C]102.977898693608[/C][C]4.32210130639201[/C][/ROW]
[ROW][C]195[/C][C]118.3[/C][C]103.418147876974[/C][C]14.8818521230261[/C][/ROW]
[ROW][C]196[/C][C]112.3[/C][C]106.756156341025[/C][C]5.54384365897461[/C][/ROW]
[ROW][C]197[/C][C]107.9[/C][C]108.513018461377[/C][C]-0.613018461376697[/C][/ROW]
[ROW][C]198[/C][C]121[/C][C]109.003432521523[/C][C]11.9965674784774[/C][/ROW]
[ROW][C]199[/C][C]95.8[/C][C]112.651158537187[/C][C]-16.851158537187[/C][/ROW]
[ROW][C]200[/C][C]96.1[/C][C]109.631555739672[/C][C]-13.5315557396716[/C][/ROW]
[ROW][C]201[/C][C]114.9[/C][C]106.567475753421[/C][C]8.33252424657853[/C][/ROW]
[ROW][C]202[/C][C]109.8[/C][C]108.32374024199[/C][C]1.47625975801044[/C][/ROW]
[ROW][C]203[/C][C]106.7[/C][C]108.782964746291[/C][C]-2.08296474629134[/C][/ROW]
[ROW][C]204[/C][C]89.5[/C][C]108.419372824831[/C][C]-18.9193728248305[/C][/ROW]
[ROW][C]205[/C][C]104[/C][C]103.68788256486[/C][C]0.312117435139598[/C][/ROW]
[ROW][C]206[/C][C]106[/C][C]102.828162431635[/C][C]3.17183756836525[/C][/ROW]
[ROW][C]207[/C][C]124.6[/C][C]102.708157511644[/C][C]21.8918424883561[/C][/ROW]
[ROW][C]208[/C][C]106.8[/C][C]107.489619452852[/C][C]-0.689619452852114[/C][/ROW]
[ROW][C]209[/C][C]115.4[/C][C]107.707925861846[/C][C]7.69207413815376[/C][/ROW]
[ROW][C]210[/C][C]120.5[/C][C]110.01011976214[/C][C]10.4898802378602[/C][/ROW]
[ROW][C]211[/C][C]95.5[/C][C]113.423576697034[/C][C]-17.9235766970337[/C][/ROW]
[ROW][C]212[/C][C]97.8[/C][C]110.200496859445[/C][C]-12.4004968594454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308501&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308501&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
39588.76.3
481.896.2935254356768-14.4935254356768
591.898.95807089546-7.15807089545999
688.2102.717610174798-14.5176101747981
772.2104.240056993575-32.0400569935755
875.9100.568662838296-24.6686628382964
991.297.080729225487-5.88072922548702
1094.297.0507210061941-2.85072100619411
1190.497.4785771493034-7.07857714930338
1273.196.68746665159-23.58746665159
1384.391.3491929020125-7.04919290201255
1482.888.9565420893065-6.15654208930647
1592.886.41982484189786.38017515810223
1683.586.7311328923195-3.23113289231954
1790.484.94610372612135.45389627387873
1891.885.18834088417026.6116591158298
1975.586.009575888303-10.509575888303
2075.182.8470540572651-7.74705405726512
2189.179.83187410201039.26812589798972
2295.480.714053947096514.6859460529035
2385.283.45289621586791.74710378413211
2468.483.6895165593372-15.2895165593372
258179.7085511513951.29144884860499
2678.879.119380404335-0.319380404335007
2785.778.19052480971837.50947519028173
2888.179.22514710509358.87485289490651
2982.780.99913269267181.70086730732824
3090.181.4241684139478.67583158605302
3179.183.7026957772012-4.60269577720122
3271.583.0777449839864-11.5777449839864
339180.44702918030110.552970819699
349982.806612561998116.1933874380019
3584.287.1465747283694-2.94657472836944
3668.187.4948921063339-19.3948921063339
3781.383.5281635025335-2.22816350253352
3884.182.88599374523591.21400625476413
3988.182.99758196023155.10241803976852
4087.884.15640313012463.64359686987538
418385.2139407505491-2.21394075054914
4291.584.98104028265766.51895971734237
438186.8408843315006-5.8408843315006
4467.185.91645665788-18.81645665788
4590.881.40352363960969.39647636039037
4694.783.039531538493611.6604684615064
4779.385.7412051100076-6.44120511000764
4875.584.4760279353657-8.97602793536572
4980.282.2317369165466-2.03173691654661
5081.181.272988286085-0.17298828608503
5196.980.67779225012316.222207749877
5288.484.22052976563164.17947023436838
5381.685.5683104980768-3.96831049807682
5498.985.074473773439413.8255262265606
5578.588.8732122071096-10.3732122071096
5674.587.2765003020093-12.7765003020093
5797.384.527642163786112.7723578362139
589387.57077421922385.42922578077621
5986.489.4266650196797-3.02666501967967
6080.689.4285764703362-8.82857647033619
6183.787.8041475175302-4.10414751753015
6286.786.9115042514927-0.211504251492698
6395.886.78813365114059.01186634885947
6494.888.98663032636355.81336967363649
6588.890.8489282316989-2.04892823169888
66103.391.027545594212912.2724544057871
6777.894.7211190068833-16.9211190068833
6881.291.6743598936848-10.4743598936848
69102.889.370437559819313.4295624401807
7097.292.56322217193314.63677782806687
7194.794.23657154901180.463428450988175
7285.295.0975921213998-9.89759212139978
7392.793.3622054643038-0.662205464303796
7491.193.4435199428271-2.34351994282706
75103.593.064817509074410.4351824909256
7692.795.7954082423925-3.09540824239254
7710295.6510726387246.34892736127595
78105.997.73318388617548.16681611382464
7984100.608225693261-16.6082256932615
8086.497.6451479062487-11.2451479062486
8110595.1672167046029.83278329539796
82108.697.430743337238111.1692566627619
83103.5100.548220512582.95177948742015
8485.2102.173188279356-16.973188279356
85101.898.91319652843532.88680347156475
8699.199.7860599869103-0.686059986910308
87112.899.906664975353212.8933350246468
88100.7103.426053643479-2.72605364347935
89107.2103.6711475746253.52885242537464
90113.8105.355331449088.44466855091997
9194.4108.468074844815-14.0680748448149
9290.9106.329503882389-15.4295038823893
93105.5103.1084546229642.39154537703571
94118.2103.58552271549714.6144772845031
95108.5107.279744443561.22025555643958
9683.9108.352810524981-24.4528105249805
97108.6102.9961411142155.60385888578503
98109.5103.9590425212935.54095747870717
99106.5105.2000544673751.29994553262517
100116.5105.65906311026810.8409368897322
101104.6108.599580292663-3.99958029266347
102112.3108.3551265747753.94487342522528
103101.2109.910299056031-8.71029905603088
10486.9108.471443228801-21.5714432288005
105112.8103.322474360199.47752563980974
106110.4104.8952474141275.50475258587316
10791.2105.960407819878-14.7604078198785
10880102.188508489626-22.1885084896258
10986.995.7632986028561-8.86329860285608
11085.191.5443974617735-6.44439746177352
11195.687.47229875955398.12770124044611
11292.686.74795277858765.85204722141239
11387.785.87444235823761.82555764176242
11498.784.289512161729614.4104878382704
11585.685.9836036445948-0.383603644594771
11677.484.6917528311894-7.29175283118941
11710281.63242424433920.367575755661
118101.985.186680766138716.7133192338613
11991.988.88526484573573.01473515426433
12081.689.9958288352282-8.39582883522816
12191.688.37837437256353.22162562743651
12292.989.2589364448063.64106355519402
123109.390.414622241546418.8853777584536
124103.895.61725094118988.18274905881024
12596.899.1036207698284-2.30362076982843
126117.4100.36689144975717.0331085502428
12793106.400339606403-13.4003396064027
12889105.629620595175-16.6296205951747
129110103.3390022407756.66099775922532
130106106.067009821058-0.0670098210579226
131100.4107.442717857357-7.04271785735726
13290107.050470656345-17.0504706563445
13397.4103.757342716456-6.35734271645627
134101.6102.274343636012-0.674343636012168
135117101.89525112175415.1047488782463
13697.7105.471949701561-7.77194970156135
137110.8104.0547131275086.74528687249234
138103.1105.901698978766-2.80169897876591
13986.1105.687773829766-19.587773829766
14092.9101.080971418029-8.18097141802922
141112.998.331688945407214.5683110545928
142102.4100.907386701681.49261329832034
143103.3100.9400742085662.35992579143426
14489.8101.270454002319-11.4704540023194
14596.598.2263895590372-1.7263895590372
146102.297.0451672480635.15483275193699
14711297.513905597003714.4860944029963
148100100.613359902081-0.613359902081086
149103100.6536001647942.34639983520587
150112.4101.41030216629510.989697833705
15194.5104.476354573404-9.97635457340419
15292.6102.815844985114-10.2158449851144
153104100.5713234851593.4286765148415
154108.4101.2420541382517.15794586174917
155100.1103.035962536815-2.93596253681488
15679.1102.652272261917-23.5522722619167
157100.996.899838543874.00016145613003
15897.496.88080195572610.519198044273949
159101.796.19116733282415.50883266717589
160104.996.79085467195418.10914532804588
161103.198.33730157408354.7626984259165
162108.299.46276351740458.73723648259555
16399.9101.843434494655-1.94343449465465
16485.6101.980952292114-16.3809522921142
165106.898.36466918015128.43533081984876
166113100.16596150012212.834038499878
16799.3103.522446645022-4.2224466450218
16884.2103.238025941861-19.0380259418615
169104.398.98460301920085.31539698079919
17099.199.8922692235517-0.792269223551656
171107.399.53394496756887.76605503243118
172111.7101.29879947563710.4012005243626
17399.9104.137655153177-4.237655153177
174107.5103.8194764031613.68052359683894
175101.3105.281786638312-3.98178663831177
17686.1104.999096071364-18.899096071364
177113100.73429845439712.2657015456026
178114103.360752106810.6392478931999
17996.4106.21936123294-9.81936123294047
18085.5104.461374087314-18.9613740873138
18199.599.8758032074154-0.375803207415387
182102.498.9964195498613.403580450139
183117.999.053277774838118.8467222251619
184110.2103.1949102958457.00508970415521
18599.2105.330155536243-6.13015553624332
186121.8104.51050471276417.2894952872361
187103.1109.29299877911-6.19299877911045
18889109.042955784782-20.0429557847818
189112.5104.9647655189517.53523448104875
190114106.8106125642127.18938743578819
191103.7108.964336307608-5.26433630760771
19289.5108.345218060274-18.845218060274
193102.1104.014737245381-1.91473724538096
194107.3102.9778986936084.32210130639201
195118.3103.41814787697414.8818521230261
196112.3106.7561563410255.54384365897461
197107.9108.513018461377-0.613018461376697
198121109.00343252152311.9965674784774
19995.8112.651158537187-16.851158537187
20096.1109.631555739672-13.5315557396716
201114.9106.5674757534218.33252424657853
202109.8108.323740241991.47625975801044
203106.7108.782964746291-2.08296474629134
20489.5108.419372824831-18.9193728248305
205104103.687882564860.312117435139598
206106102.8281624316353.17183756836525
207124.6102.70815751164421.8918424883561
208106.8107.489619452852-0.689619452852114
209115.4107.7079258618467.69207413815376
210120.5110.0101197621410.4898802378602
21195.5113.423576697034-17.9235766970337
21297.8110.200496859445-12.4004968594454







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213107.43402134302686.5760639721765128.291978713875
214107.15351033474585.6386620853352128.668358584155
215106.87299932646584.4349065224335129.311092130496
216106.59248831818482.9453404677622130.239636168606
217106.31197730990381.1635628699956131.460391749811
218106.03146630162379.0939696447078132.968962958538
219105.75095529334276.7485276592016134.753382927483
220105.47044428506274.1435505393969136.797338030726
221105.18993327678171.2970964127599139.082770140802
222104.909422268568.2271862297236141.591658307277
223104.6289112602264.95075987427144.307062646169
224104.34840025193961.4831761674831147.213624336395

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 107.434021343026 & 86.5760639721765 & 128.291978713875 \tabularnewline
214 & 107.153510334745 & 85.6386620853352 & 128.668358584155 \tabularnewline
215 & 106.872999326465 & 84.4349065224335 & 129.311092130496 \tabularnewline
216 & 106.592488318184 & 82.9453404677622 & 130.239636168606 \tabularnewline
217 & 106.311977309903 & 81.1635628699956 & 131.460391749811 \tabularnewline
218 & 106.031466301623 & 79.0939696447078 & 132.968962958538 \tabularnewline
219 & 105.750955293342 & 76.7485276592016 & 134.753382927483 \tabularnewline
220 & 105.470444285062 & 74.1435505393969 & 136.797338030726 \tabularnewline
221 & 105.189933276781 & 71.2970964127599 & 139.082770140802 \tabularnewline
222 & 104.9094222685 & 68.2271862297236 & 141.591658307277 \tabularnewline
223 & 104.62891126022 & 64.95075987427 & 144.307062646169 \tabularnewline
224 & 104.348400251939 & 61.4831761674831 & 147.213624336395 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308501&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]107.434021343026[/C][C]86.5760639721765[/C][C]128.291978713875[/C][/ROW]
[ROW][C]214[/C][C]107.153510334745[/C][C]85.6386620853352[/C][C]128.668358584155[/C][/ROW]
[ROW][C]215[/C][C]106.872999326465[/C][C]84.4349065224335[/C][C]129.311092130496[/C][/ROW]
[ROW][C]216[/C][C]106.592488318184[/C][C]82.9453404677622[/C][C]130.239636168606[/C][/ROW]
[ROW][C]217[/C][C]106.311977309903[/C][C]81.1635628699956[/C][C]131.460391749811[/C][/ROW]
[ROW][C]218[/C][C]106.031466301623[/C][C]79.0939696447078[/C][C]132.968962958538[/C][/ROW]
[ROW][C]219[/C][C]105.750955293342[/C][C]76.7485276592016[/C][C]134.753382927483[/C][/ROW]
[ROW][C]220[/C][C]105.470444285062[/C][C]74.1435505393969[/C][C]136.797338030726[/C][/ROW]
[ROW][C]221[/C][C]105.189933276781[/C][C]71.2970964127599[/C][C]139.082770140802[/C][/ROW]
[ROW][C]222[/C][C]104.9094222685[/C][C]68.2271862297236[/C][C]141.591658307277[/C][/ROW]
[ROW][C]223[/C][C]104.62891126022[/C][C]64.95075987427[/C][C]144.307062646169[/C][/ROW]
[ROW][C]224[/C][C]104.348400251939[/C][C]61.4831761674831[/C][C]147.213624336395[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308501&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308501&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
213107.43402134302686.5760639721765128.291978713875
214107.15351033474585.6386620853352128.668358584155
215106.87299932646584.4349065224335129.311092130496
216106.59248831818482.9453404677622130.239636168606
217106.31197730990381.1635628699956131.460391749811
218106.03146630162379.0939696447078132.968962958538
219105.75095529334276.7485276592016134.753382927483
220105.47044428506274.1435505393969136.797338030726
221105.18993327678171.2970964127599139.082770140802
222104.909422268568.2271862297236141.591658307277
223104.6289112602264.95075987427144.307062646169
224104.34840025193961.4831761674831147.213624336395



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