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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 computationTue, 19 Dec 2017 18:07:35 +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/19/t1513703295kuodx1a6981acwu.htm/, Retrieved Wed, 15 May 2024 15:43:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310383, Retrieved Wed, 15 May 2024 15:43:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-19 17:07:35] [eeb8783d96126a2719bfaf914027c923] [Current]
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Dataseries X:
58.5
59.8
64.6
62.2
68
64.3
58.9
64.8
67.5
76.2
73.7
70.4
67.7
63.7
72.4
66
70.1
70.4
66.6
72.6
74
79
76.1
72.3
71.6
67.2
73.8
70.8
71.4
70.4
70.7
70.6
75.5
82.1
74.3
76.3
74.5
71.1
73.3
73.8
69
71.1
71.9
69
77.3
82.8
74
77.6
72.3
70.7
81
76.4
72.3
79.5
73.3
74.5
82.7
83.8
81.6
85.5
76.7
71.8
80.2
76.8
76.1
80.7
71.3
80.9
85
84.5
87.7
87.7
80.2
74.4
85.8
77
84.5
83.6
77.7
85.7
87.9
93.7
92.3
87
89.1
81.3
92.7
83.9
87.3
89.1
86.9
91.7
93
105.3
101.6
94.2
100.5
95.8
95.8
102.1
96
96.8
98.9
93.4
105.5
110.9
98.6
102.6
93.5
90.8
99.7
97.8
91.1
98.1
96
93.5
101.2
105.2
98.9
101.3
92.1
90.6
105.4
98.4
92.7
101.2
93.4
98.3
104.3
107
107.7
108.9
99.6
96.1
109
99.5
104.6
99.9
94.1
105.3
110.4
110.5
110
108.5
104.3
101.2
109.2
99.6
105.6
106.2
102.2
107.5
105.8
120.5
113.2
104.3
107.7
99.2
105.1
104.3
106.1
100.8
106.7
101.6
104.4
114.8
105.4
104
102
96.5
102.3
105.3
101.9
102.2
102.8
100.4
110.7
116.4
106
109.2
103
99.8
109.8
107.3
101.2
111.8
106.9
103.5
113.1
119.4
113.3
115
104.7
107.2
116.6
111.3
111.4
115
102.4
111.4
113.2
112.9
114.2
115.6
107.1
102.3
117.9
105.8
114.3
113.1
102.9
112.2




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=310383&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=310383&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310383&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
alpha0.231823742881035
beta0.0204317566083047
gamma0.134205574327016

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.231823742881035 \tabularnewline
beta & 0.0204317566083047 \tabularnewline
gamma & 0.134205574327016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310383&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]0.231823742881035[/C][/ROW]
[ROW][C]beta[/C][C]0.0204317566083047[/C][/ROW]
[ROW][C]gamma[/C][C]0.134205574327016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310383&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310383&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
alpha0.231823742881035
beta0.0204317566083047
gamma0.134205574327016







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1367.765.27628205128212.42371794871794
1463.761.65054078197882.04945921802118
1572.470.69774485236551.70225514763449
166664.78085495329521.21914504670478
1770.169.42857655706860.671423442931356
1870.470.1900035302450.209996469755026
1966.663.92878877096642.67121122903358
2072.670.40079439828032.1992056017197
217473.63212793086190.36787206913813
227982.4448239865654-3.4448239865654
2376.179.3948299349963-3.29482993499627
2472.375.4681685521352-3.16816855213517
2571.672.1724003644722-0.572400364472216
2667.267.8163950192347-0.616395019234673
2773.876.200060233184-2.40006023318402
2870.869.25318375690511.54681624309487
2971.473.8927858607748-2.49278586077477
3070.473.8305014582838-3.43050145828381
3170.766.91922232197743.78077767802264
3270.673.5452007492618-2.9452007492618
3375.575.31618295771520.183817042284801
3482.183.6133174422662-1.51331744226621
3574.380.9558756643758-6.65587566437578
3676.376.17650201449670.123497985503278
3774.573.84041836533180.6595816346682
3871.169.70030665910861.3996933408914
3973.378.3118405306348-5.01184053063484
4073.871.09839381238522.70160618761484
416975.5267215095388-6.52672150953882
4271.174.350970356403-3.25097035640304
4371.968.14396514314493.75603485685515
446973.9899035908687-4.98990359086875
4577.375.51887266200891.78112733799109
4682.883.9283197901504-1.12831979015044
477480.748770452838-6.74877045283802
4877.676.56513653684861.03486346315137
4972.374.4182778972721-2.11827789727207
5070.769.62001770856381.07998229143617
518177.4044575176013.59554248239895
5276.472.93039272740633.46960727259366
5372.376.5377977535105-4.23779775351049
5479.576.19364125490113.30635874509893
5573.372.22347579738671.07652420261326
5674.576.5282168956331-2.02821689563305
5782.779.43747956402883.26252043597124
5883.887.8930750929081-4.09307509290809
5981.683.435421692779-1.83542169277897
6085.581.20516215972184.29483784027825
6176.779.5163167168067-2.81631671680667
6271.874.9099904267968-3.1099904267968
6380.281.9866229080689-1.78662290806888
6476.876.23055813884940.569441861150636
6576.178.3360123554684-2.23601235546838
6680.779.20811262429681.4918873757032
6771.374.5532753476535-3.25327534765347
6880.977.47952624040983.42047375959022
698582.16851254278572.83148745721429
7084.589.734975380308-5.23497538030799
7187.785.20904850457042.49095149542956
7287.784.59792393241333.10207606758669
7380.281.8779931339306-1.67799313393057
7474.477.4892123711446-3.08921237114458
7585.884.69112170707361.10887829292638
767779.8469420161284-2.84694201612835
7784.580.8527353166333.64726468336703
7883.683.48246996106670.117530038933282
7977.778.0227473927352-0.322747392735167
8085.782.3331842499953.36681575000497
8187.986.96555612966370.934443870336338
8293.793.26819903301920.431800966980759
8392.390.88685962636851.41314037363151
848790.1181717624108-3.11817176241082
8589.185.46327890255853.63672109744145
8681.382.1860943080349-0.886094308034885
8792.790.36697674787622.33302325212385
8883.985.4400036828811-1.54000368288111
8987.387.4657177124612-0.16571771246123
9089.188.87698989991230.223010100087691
9186.983.42620018869393.47379981130608
9291.789.04498936784982.65501063215018
939393.3060670205789-0.306067020578894
94105.399.30791596698015.99208403301985
95101.698.38169374573583.21830625426423
9694.297.6378292951559-3.43782929515591
97100.593.67719603140026.82280396859977
9895.890.75941716723495.04058283276505
9995.8100.761255501031-4.96125550103106
100102.193.82460276312758.27539723687249
1019698.3945224389104-2.39452243891044
10296.899.4457058830942-2.64570588309425
10398.993.76795302326735.13204697673268
10493.499.797543715527-6.39754371552699
105105.5101.7226706681873.77732933181269
106110.9109.4077020754721.4922979245278
10798.6107.218306076412-8.61830607641178
108102.6103.054106443656-0.454106443655519
10993.5100.866985682257-7.36698568225721
11090.894.4327400535786-3.63274005357856
11199.7101.308488427257-1.60848842725675
11297.896.44529773008061.35470226991941
11391.198.2096536151824-7.10965361518241
11498.198.01834614679980.0816538532002085
1159693.66409822636572.33590177363428
11693.597.7330078289032-4.2330078289032
117101.2101.0952997259450.104700274055446
118105.2107.562371395801-2.36237139580093
11998.9103.287790559411-4.38779055941094
120101.3100.8167961395080.483203860491628
12192.198.0095276948881-5.90952769488815
12290.692.1802700604994-1.58027006049944
123105.499.63237667102185.76762332897817
12498.496.71142676097051.68857323902954
12592.797.6089400352788-4.90894003527885
126101.298.60798991321612.59201008678387
12793.495.0187934016369-1.61879340163686
12898.397.42565981594560.874340184054418
129104.3102.3752983697981.92470163020216
130107108.974723440485-1.97472344048541
131107.7104.5478101171063.15218988289364
132108.9104.3292529753364.57074702466362
13399.6101.832208459385-2.23220845938491
13496.197.3408607495041-1.24086074950414
135109105.6698799803333.33012001966659
13699.5101.792499010938-2.29249901093799
137104.6101.097251409683.50274859031978
13899.9104.869779584116-4.96977958411584
13994.199.1078068356763-5.00780683567631
140105.3100.9843259083254.31567409167455
141110.4106.8546134314433.54538656855686
142110.5113.450003301183-2.95000330118286
143110109.343186163150.656813836849651
144108.5108.698203754778-0.198203754778248
145104.3104.377492110324-0.0774921103235329
146101.2100.481295932090.718704067910181
147109.2109.738544573574-0.538544573574185
14899.6104.369052626591-4.76905262659093
149105.6103.6697963067441.93020369325646
150106.2106.1695225318760.0304774681242179
151102.2101.5517059548370.648294045162828
152107.5105.716322845061.78367715493987
153105.8110.923917452454-5.12391745245442
154120.5114.8025571302315.69744286976946
155113.2113.0758550858260.124144914173755
156104.3112.220309790029-7.92030979002898
157107.7106.0863681472681.61363185273171
15899.2102.636800391238-3.43680039123845
159105.1110.75391046154-5.65391046153979
160104.3103.691008179170.608991820830227
161106.1104.8832247018531.21677529814686
162100.8106.97239702002-6.17239702002018
163106.7100.9016046591115.79839534088914
164101.6106.322886664565-4.72288666456487
165104.4109.224856868821-4.82485686882086
166114.8114.2047346347360.595265365264453
167105.4110.612785357091-5.21278535709141
168104107.557532552336-3.55753255233591
169102103.305389516385-1.30538951638529
17096.598.5321457500207-2.03214575002075
171102.3106.626661006394-4.32666100639358
172105.3100.4037406119894.89625938801113
173101.9102.559442234584-0.659442234584262
174102.2103.34993619053-1.1499361905299
175102.899.59941933609063.20058066390938
176100.4103.243323863639-2.84332386363866
177110.7106.4889453628984.2110546371017
178116.4114.0835771941372.31642280586267
179106110.261248642126-4.26124864212554
180109.2107.5711255716581.62887442834189
181103104.751957030483-1.75195703048348
18299.899.79661007292140.00338992707855823
183109.8108.1324482188781.66755178112238
184107.3104.2843312091323.01566879086768
185101.2105.456781881718-4.25678188171825
186111.8105.3711928273596.42880717264076
187106.9103.8704484983013.02955150169947
188103.5106.895136534391-3.39513653439134
189113.1110.7810014966372.31899850336312
190119.4117.7736295688221.62637043117761
191113.3113.1418906770750.158109322925156
192115112.1331214978822.86687850211828
193104.7109.307881887443-4.60788188744324
194107.2103.9133734486953.28662655130452
195116.6113.2394041793723.36059582062757
196111.3109.9882723923211.31172760767868
197111.4110.073410825671.32658917432951
198115112.4676853490172.53231465098345
199102.4109.778634702431-7.37863470243103
200111.4109.7442496353491.65575036465052
201113.2115.430179734077-2.23017973407677
202112.9121.315306564763-8.41530656476274
203114.2114.1752489906420.0247510093581269
204115.6113.3851378125442.21486218745586
205107.1109.605374575743-2.50537457574325
206102.3105.489337418535-3.18933741853479
207117.9113.2682252428174.63177475718319
208105.8110.053092415951-4.253092415951
209114.3108.7758820051225.52411799487767
210113.1112.2136041772780.886395822722363
211102.9108.059497956338-5.15949795633753
212112.2109.4197215646712.78027843532929

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 67.7 & 65.2762820512821 & 2.42371794871794 \tabularnewline
14 & 63.7 & 61.6505407819788 & 2.04945921802118 \tabularnewline
15 & 72.4 & 70.6977448523655 & 1.70225514763449 \tabularnewline
16 & 66 & 64.7808549532952 & 1.21914504670478 \tabularnewline
17 & 70.1 & 69.4285765570686 & 0.671423442931356 \tabularnewline
18 & 70.4 & 70.190003530245 & 0.209996469755026 \tabularnewline
19 & 66.6 & 63.9287887709664 & 2.67121122903358 \tabularnewline
20 & 72.6 & 70.4007943982803 & 2.1992056017197 \tabularnewline
21 & 74 & 73.6321279308619 & 0.36787206913813 \tabularnewline
22 & 79 & 82.4448239865654 & -3.4448239865654 \tabularnewline
23 & 76.1 & 79.3948299349963 & -3.29482993499627 \tabularnewline
24 & 72.3 & 75.4681685521352 & -3.16816855213517 \tabularnewline
25 & 71.6 & 72.1724003644722 & -0.572400364472216 \tabularnewline
26 & 67.2 & 67.8163950192347 & -0.616395019234673 \tabularnewline
27 & 73.8 & 76.200060233184 & -2.40006023318402 \tabularnewline
28 & 70.8 & 69.2531837569051 & 1.54681624309487 \tabularnewline
29 & 71.4 & 73.8927858607748 & -2.49278586077477 \tabularnewline
30 & 70.4 & 73.8305014582838 & -3.43050145828381 \tabularnewline
31 & 70.7 & 66.9192223219774 & 3.78077767802264 \tabularnewline
32 & 70.6 & 73.5452007492618 & -2.9452007492618 \tabularnewline
33 & 75.5 & 75.3161829577152 & 0.183817042284801 \tabularnewline
34 & 82.1 & 83.6133174422662 & -1.51331744226621 \tabularnewline
35 & 74.3 & 80.9558756643758 & -6.65587566437578 \tabularnewline
36 & 76.3 & 76.1765020144967 & 0.123497985503278 \tabularnewline
37 & 74.5 & 73.8404183653318 & 0.6595816346682 \tabularnewline
38 & 71.1 & 69.7003066591086 & 1.3996933408914 \tabularnewline
39 & 73.3 & 78.3118405306348 & -5.01184053063484 \tabularnewline
40 & 73.8 & 71.0983938123852 & 2.70160618761484 \tabularnewline
41 & 69 & 75.5267215095388 & -6.52672150953882 \tabularnewline
42 & 71.1 & 74.350970356403 & -3.25097035640304 \tabularnewline
43 & 71.9 & 68.1439651431449 & 3.75603485685515 \tabularnewline
44 & 69 & 73.9899035908687 & -4.98990359086875 \tabularnewline
45 & 77.3 & 75.5188726620089 & 1.78112733799109 \tabularnewline
46 & 82.8 & 83.9283197901504 & -1.12831979015044 \tabularnewline
47 & 74 & 80.748770452838 & -6.74877045283802 \tabularnewline
48 & 77.6 & 76.5651365368486 & 1.03486346315137 \tabularnewline
49 & 72.3 & 74.4182778972721 & -2.11827789727207 \tabularnewline
50 & 70.7 & 69.6200177085638 & 1.07998229143617 \tabularnewline
51 & 81 & 77.404457517601 & 3.59554248239895 \tabularnewline
52 & 76.4 & 72.9303927274063 & 3.46960727259366 \tabularnewline
53 & 72.3 & 76.5377977535105 & -4.23779775351049 \tabularnewline
54 & 79.5 & 76.1936412549011 & 3.30635874509893 \tabularnewline
55 & 73.3 & 72.2234757973867 & 1.07652420261326 \tabularnewline
56 & 74.5 & 76.5282168956331 & -2.02821689563305 \tabularnewline
57 & 82.7 & 79.4374795640288 & 3.26252043597124 \tabularnewline
58 & 83.8 & 87.8930750929081 & -4.09307509290809 \tabularnewline
59 & 81.6 & 83.435421692779 & -1.83542169277897 \tabularnewline
60 & 85.5 & 81.2051621597218 & 4.29483784027825 \tabularnewline
61 & 76.7 & 79.5163167168067 & -2.81631671680667 \tabularnewline
62 & 71.8 & 74.9099904267968 & -3.1099904267968 \tabularnewline
63 & 80.2 & 81.9866229080689 & -1.78662290806888 \tabularnewline
64 & 76.8 & 76.2305581388494 & 0.569441861150636 \tabularnewline
65 & 76.1 & 78.3360123554684 & -2.23601235546838 \tabularnewline
66 & 80.7 & 79.2081126242968 & 1.4918873757032 \tabularnewline
67 & 71.3 & 74.5532753476535 & -3.25327534765347 \tabularnewline
68 & 80.9 & 77.4795262404098 & 3.42047375959022 \tabularnewline
69 & 85 & 82.1685125427857 & 2.83148745721429 \tabularnewline
70 & 84.5 & 89.734975380308 & -5.23497538030799 \tabularnewline
71 & 87.7 & 85.2090485045704 & 2.49095149542956 \tabularnewline
72 & 87.7 & 84.5979239324133 & 3.10207606758669 \tabularnewline
73 & 80.2 & 81.8779931339306 & -1.67799313393057 \tabularnewline
74 & 74.4 & 77.4892123711446 & -3.08921237114458 \tabularnewline
75 & 85.8 & 84.6911217070736 & 1.10887829292638 \tabularnewline
76 & 77 & 79.8469420161284 & -2.84694201612835 \tabularnewline
77 & 84.5 & 80.852735316633 & 3.64726468336703 \tabularnewline
78 & 83.6 & 83.4824699610667 & 0.117530038933282 \tabularnewline
79 & 77.7 & 78.0227473927352 & -0.322747392735167 \tabularnewline
80 & 85.7 & 82.333184249995 & 3.36681575000497 \tabularnewline
81 & 87.9 & 86.9655561296637 & 0.934443870336338 \tabularnewline
82 & 93.7 & 93.2681990330192 & 0.431800966980759 \tabularnewline
83 & 92.3 & 90.8868596263685 & 1.41314037363151 \tabularnewline
84 & 87 & 90.1181717624108 & -3.11817176241082 \tabularnewline
85 & 89.1 & 85.4632789025585 & 3.63672109744145 \tabularnewline
86 & 81.3 & 82.1860943080349 & -0.886094308034885 \tabularnewline
87 & 92.7 & 90.3669767478762 & 2.33302325212385 \tabularnewline
88 & 83.9 & 85.4400036828811 & -1.54000368288111 \tabularnewline
89 & 87.3 & 87.4657177124612 & -0.16571771246123 \tabularnewline
90 & 89.1 & 88.8769898999123 & 0.223010100087691 \tabularnewline
91 & 86.9 & 83.4262001886939 & 3.47379981130608 \tabularnewline
92 & 91.7 & 89.0449893678498 & 2.65501063215018 \tabularnewline
93 & 93 & 93.3060670205789 & -0.306067020578894 \tabularnewline
94 & 105.3 & 99.3079159669801 & 5.99208403301985 \tabularnewline
95 & 101.6 & 98.3816937457358 & 3.21830625426423 \tabularnewline
96 & 94.2 & 97.6378292951559 & -3.43782929515591 \tabularnewline
97 & 100.5 & 93.6771960314002 & 6.82280396859977 \tabularnewline
98 & 95.8 & 90.7594171672349 & 5.04058283276505 \tabularnewline
99 & 95.8 & 100.761255501031 & -4.96125550103106 \tabularnewline
100 & 102.1 & 93.8246027631275 & 8.27539723687249 \tabularnewline
101 & 96 & 98.3945224389104 & -2.39452243891044 \tabularnewline
102 & 96.8 & 99.4457058830942 & -2.64570588309425 \tabularnewline
103 & 98.9 & 93.7679530232673 & 5.13204697673268 \tabularnewline
104 & 93.4 & 99.797543715527 & -6.39754371552699 \tabularnewline
105 & 105.5 & 101.722670668187 & 3.77732933181269 \tabularnewline
106 & 110.9 & 109.407702075472 & 1.4922979245278 \tabularnewline
107 & 98.6 & 107.218306076412 & -8.61830607641178 \tabularnewline
108 & 102.6 & 103.054106443656 & -0.454106443655519 \tabularnewline
109 & 93.5 & 100.866985682257 & -7.36698568225721 \tabularnewline
110 & 90.8 & 94.4327400535786 & -3.63274005357856 \tabularnewline
111 & 99.7 & 101.308488427257 & -1.60848842725675 \tabularnewline
112 & 97.8 & 96.4452977300806 & 1.35470226991941 \tabularnewline
113 & 91.1 & 98.2096536151824 & -7.10965361518241 \tabularnewline
114 & 98.1 & 98.0183461467998 & 0.0816538532002085 \tabularnewline
115 & 96 & 93.6640982263657 & 2.33590177363428 \tabularnewline
116 & 93.5 & 97.7330078289032 & -4.2330078289032 \tabularnewline
117 & 101.2 & 101.095299725945 & 0.104700274055446 \tabularnewline
118 & 105.2 & 107.562371395801 & -2.36237139580093 \tabularnewline
119 & 98.9 & 103.287790559411 & -4.38779055941094 \tabularnewline
120 & 101.3 & 100.816796139508 & 0.483203860491628 \tabularnewline
121 & 92.1 & 98.0095276948881 & -5.90952769488815 \tabularnewline
122 & 90.6 & 92.1802700604994 & -1.58027006049944 \tabularnewline
123 & 105.4 & 99.6323766710218 & 5.76762332897817 \tabularnewline
124 & 98.4 & 96.7114267609705 & 1.68857323902954 \tabularnewline
125 & 92.7 & 97.6089400352788 & -4.90894003527885 \tabularnewline
126 & 101.2 & 98.6079899132161 & 2.59201008678387 \tabularnewline
127 & 93.4 & 95.0187934016369 & -1.61879340163686 \tabularnewline
128 & 98.3 & 97.4256598159456 & 0.874340184054418 \tabularnewline
129 & 104.3 & 102.375298369798 & 1.92470163020216 \tabularnewline
130 & 107 & 108.974723440485 & -1.97472344048541 \tabularnewline
131 & 107.7 & 104.547810117106 & 3.15218988289364 \tabularnewline
132 & 108.9 & 104.329252975336 & 4.57074702466362 \tabularnewline
133 & 99.6 & 101.832208459385 & -2.23220845938491 \tabularnewline
134 & 96.1 & 97.3408607495041 & -1.24086074950414 \tabularnewline
135 & 109 & 105.669879980333 & 3.33012001966659 \tabularnewline
136 & 99.5 & 101.792499010938 & -2.29249901093799 \tabularnewline
137 & 104.6 & 101.09725140968 & 3.50274859031978 \tabularnewline
138 & 99.9 & 104.869779584116 & -4.96977958411584 \tabularnewline
139 & 94.1 & 99.1078068356763 & -5.00780683567631 \tabularnewline
140 & 105.3 & 100.984325908325 & 4.31567409167455 \tabularnewline
141 & 110.4 & 106.854613431443 & 3.54538656855686 \tabularnewline
142 & 110.5 & 113.450003301183 & -2.95000330118286 \tabularnewline
143 & 110 & 109.34318616315 & 0.656813836849651 \tabularnewline
144 & 108.5 & 108.698203754778 & -0.198203754778248 \tabularnewline
145 & 104.3 & 104.377492110324 & -0.0774921103235329 \tabularnewline
146 & 101.2 & 100.48129593209 & 0.718704067910181 \tabularnewline
147 & 109.2 & 109.738544573574 & -0.538544573574185 \tabularnewline
148 & 99.6 & 104.369052626591 & -4.76905262659093 \tabularnewline
149 & 105.6 & 103.669796306744 & 1.93020369325646 \tabularnewline
150 & 106.2 & 106.169522531876 & 0.0304774681242179 \tabularnewline
151 & 102.2 & 101.551705954837 & 0.648294045162828 \tabularnewline
152 & 107.5 & 105.71632284506 & 1.78367715493987 \tabularnewline
153 & 105.8 & 110.923917452454 & -5.12391745245442 \tabularnewline
154 & 120.5 & 114.802557130231 & 5.69744286976946 \tabularnewline
155 & 113.2 & 113.075855085826 & 0.124144914173755 \tabularnewline
156 & 104.3 & 112.220309790029 & -7.92030979002898 \tabularnewline
157 & 107.7 & 106.086368147268 & 1.61363185273171 \tabularnewline
158 & 99.2 & 102.636800391238 & -3.43680039123845 \tabularnewline
159 & 105.1 & 110.75391046154 & -5.65391046153979 \tabularnewline
160 & 104.3 & 103.69100817917 & 0.608991820830227 \tabularnewline
161 & 106.1 & 104.883224701853 & 1.21677529814686 \tabularnewline
162 & 100.8 & 106.97239702002 & -6.17239702002018 \tabularnewline
163 & 106.7 & 100.901604659111 & 5.79839534088914 \tabularnewline
164 & 101.6 & 106.322886664565 & -4.72288666456487 \tabularnewline
165 & 104.4 & 109.224856868821 & -4.82485686882086 \tabularnewline
166 & 114.8 & 114.204734634736 & 0.595265365264453 \tabularnewline
167 & 105.4 & 110.612785357091 & -5.21278535709141 \tabularnewline
168 & 104 & 107.557532552336 & -3.55753255233591 \tabularnewline
169 & 102 & 103.305389516385 & -1.30538951638529 \tabularnewline
170 & 96.5 & 98.5321457500207 & -2.03214575002075 \tabularnewline
171 & 102.3 & 106.626661006394 & -4.32666100639358 \tabularnewline
172 & 105.3 & 100.403740611989 & 4.89625938801113 \tabularnewline
173 & 101.9 & 102.559442234584 & -0.659442234584262 \tabularnewline
174 & 102.2 & 103.34993619053 & -1.1499361905299 \tabularnewline
175 & 102.8 & 99.5994193360906 & 3.20058066390938 \tabularnewline
176 & 100.4 & 103.243323863639 & -2.84332386363866 \tabularnewline
177 & 110.7 & 106.488945362898 & 4.2110546371017 \tabularnewline
178 & 116.4 & 114.083577194137 & 2.31642280586267 \tabularnewline
179 & 106 & 110.261248642126 & -4.26124864212554 \tabularnewline
180 & 109.2 & 107.571125571658 & 1.62887442834189 \tabularnewline
181 & 103 & 104.751957030483 & -1.75195703048348 \tabularnewline
182 & 99.8 & 99.7966100729214 & 0.00338992707855823 \tabularnewline
183 & 109.8 & 108.132448218878 & 1.66755178112238 \tabularnewline
184 & 107.3 & 104.284331209132 & 3.01566879086768 \tabularnewline
185 & 101.2 & 105.456781881718 & -4.25678188171825 \tabularnewline
186 & 111.8 & 105.371192827359 & 6.42880717264076 \tabularnewline
187 & 106.9 & 103.870448498301 & 3.02955150169947 \tabularnewline
188 & 103.5 & 106.895136534391 & -3.39513653439134 \tabularnewline
189 & 113.1 & 110.781001496637 & 2.31899850336312 \tabularnewline
190 & 119.4 & 117.773629568822 & 1.62637043117761 \tabularnewline
191 & 113.3 & 113.141890677075 & 0.158109322925156 \tabularnewline
192 & 115 & 112.133121497882 & 2.86687850211828 \tabularnewline
193 & 104.7 & 109.307881887443 & -4.60788188744324 \tabularnewline
194 & 107.2 & 103.913373448695 & 3.28662655130452 \tabularnewline
195 & 116.6 & 113.239404179372 & 3.36059582062757 \tabularnewline
196 & 111.3 & 109.988272392321 & 1.31172760767868 \tabularnewline
197 & 111.4 & 110.07341082567 & 1.32658917432951 \tabularnewline
198 & 115 & 112.467685349017 & 2.53231465098345 \tabularnewline
199 & 102.4 & 109.778634702431 & -7.37863470243103 \tabularnewline
200 & 111.4 & 109.744249635349 & 1.65575036465052 \tabularnewline
201 & 113.2 & 115.430179734077 & -2.23017973407677 \tabularnewline
202 & 112.9 & 121.315306564763 & -8.41530656476274 \tabularnewline
203 & 114.2 & 114.175248990642 & 0.0247510093581269 \tabularnewline
204 & 115.6 & 113.385137812544 & 2.21486218745586 \tabularnewline
205 & 107.1 & 109.605374575743 & -2.50537457574325 \tabularnewline
206 & 102.3 & 105.489337418535 & -3.18933741853479 \tabularnewline
207 & 117.9 & 113.268225242817 & 4.63177475718319 \tabularnewline
208 & 105.8 & 110.053092415951 & -4.253092415951 \tabularnewline
209 & 114.3 & 108.775882005122 & 5.52411799487767 \tabularnewline
210 & 113.1 & 112.213604177278 & 0.886395822722363 \tabularnewline
211 & 102.9 & 108.059497956338 & -5.15949795633753 \tabularnewline
212 & 112.2 & 109.419721564671 & 2.78027843532929 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310383&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]67.7[/C][C]65.2762820512821[/C][C]2.42371794871794[/C][/ROW]
[ROW][C]14[/C][C]63.7[/C][C]61.6505407819788[/C][C]2.04945921802118[/C][/ROW]
[ROW][C]15[/C][C]72.4[/C][C]70.6977448523655[/C][C]1.70225514763449[/C][/ROW]
[ROW][C]16[/C][C]66[/C][C]64.7808549532952[/C][C]1.21914504670478[/C][/ROW]
[ROW][C]17[/C][C]70.1[/C][C]69.4285765570686[/C][C]0.671423442931356[/C][/ROW]
[ROW][C]18[/C][C]70.4[/C][C]70.190003530245[/C][C]0.209996469755026[/C][/ROW]
[ROW][C]19[/C][C]66.6[/C][C]63.9287887709664[/C][C]2.67121122903358[/C][/ROW]
[ROW][C]20[/C][C]72.6[/C][C]70.4007943982803[/C][C]2.1992056017197[/C][/ROW]
[ROW][C]21[/C][C]74[/C][C]73.6321279308619[/C][C]0.36787206913813[/C][/ROW]
[ROW][C]22[/C][C]79[/C][C]82.4448239865654[/C][C]-3.4448239865654[/C][/ROW]
[ROW][C]23[/C][C]76.1[/C][C]79.3948299349963[/C][C]-3.29482993499627[/C][/ROW]
[ROW][C]24[/C][C]72.3[/C][C]75.4681685521352[/C][C]-3.16816855213517[/C][/ROW]
[ROW][C]25[/C][C]71.6[/C][C]72.1724003644722[/C][C]-0.572400364472216[/C][/ROW]
[ROW][C]26[/C][C]67.2[/C][C]67.8163950192347[/C][C]-0.616395019234673[/C][/ROW]
[ROW][C]27[/C][C]73.8[/C][C]76.200060233184[/C][C]-2.40006023318402[/C][/ROW]
[ROW][C]28[/C][C]70.8[/C][C]69.2531837569051[/C][C]1.54681624309487[/C][/ROW]
[ROW][C]29[/C][C]71.4[/C][C]73.8927858607748[/C][C]-2.49278586077477[/C][/ROW]
[ROW][C]30[/C][C]70.4[/C][C]73.8305014582838[/C][C]-3.43050145828381[/C][/ROW]
[ROW][C]31[/C][C]70.7[/C][C]66.9192223219774[/C][C]3.78077767802264[/C][/ROW]
[ROW][C]32[/C][C]70.6[/C][C]73.5452007492618[/C][C]-2.9452007492618[/C][/ROW]
[ROW][C]33[/C][C]75.5[/C][C]75.3161829577152[/C][C]0.183817042284801[/C][/ROW]
[ROW][C]34[/C][C]82.1[/C][C]83.6133174422662[/C][C]-1.51331744226621[/C][/ROW]
[ROW][C]35[/C][C]74.3[/C][C]80.9558756643758[/C][C]-6.65587566437578[/C][/ROW]
[ROW][C]36[/C][C]76.3[/C][C]76.1765020144967[/C][C]0.123497985503278[/C][/ROW]
[ROW][C]37[/C][C]74.5[/C][C]73.8404183653318[/C][C]0.6595816346682[/C][/ROW]
[ROW][C]38[/C][C]71.1[/C][C]69.7003066591086[/C][C]1.3996933408914[/C][/ROW]
[ROW][C]39[/C][C]73.3[/C][C]78.3118405306348[/C][C]-5.01184053063484[/C][/ROW]
[ROW][C]40[/C][C]73.8[/C][C]71.0983938123852[/C][C]2.70160618761484[/C][/ROW]
[ROW][C]41[/C][C]69[/C][C]75.5267215095388[/C][C]-6.52672150953882[/C][/ROW]
[ROW][C]42[/C][C]71.1[/C][C]74.350970356403[/C][C]-3.25097035640304[/C][/ROW]
[ROW][C]43[/C][C]71.9[/C][C]68.1439651431449[/C][C]3.75603485685515[/C][/ROW]
[ROW][C]44[/C][C]69[/C][C]73.9899035908687[/C][C]-4.98990359086875[/C][/ROW]
[ROW][C]45[/C][C]77.3[/C][C]75.5188726620089[/C][C]1.78112733799109[/C][/ROW]
[ROW][C]46[/C][C]82.8[/C][C]83.9283197901504[/C][C]-1.12831979015044[/C][/ROW]
[ROW][C]47[/C][C]74[/C][C]80.748770452838[/C][C]-6.74877045283802[/C][/ROW]
[ROW][C]48[/C][C]77.6[/C][C]76.5651365368486[/C][C]1.03486346315137[/C][/ROW]
[ROW][C]49[/C][C]72.3[/C][C]74.4182778972721[/C][C]-2.11827789727207[/C][/ROW]
[ROW][C]50[/C][C]70.7[/C][C]69.6200177085638[/C][C]1.07998229143617[/C][/ROW]
[ROW][C]51[/C][C]81[/C][C]77.404457517601[/C][C]3.59554248239895[/C][/ROW]
[ROW][C]52[/C][C]76.4[/C][C]72.9303927274063[/C][C]3.46960727259366[/C][/ROW]
[ROW][C]53[/C][C]72.3[/C][C]76.5377977535105[/C][C]-4.23779775351049[/C][/ROW]
[ROW][C]54[/C][C]79.5[/C][C]76.1936412549011[/C][C]3.30635874509893[/C][/ROW]
[ROW][C]55[/C][C]73.3[/C][C]72.2234757973867[/C][C]1.07652420261326[/C][/ROW]
[ROW][C]56[/C][C]74.5[/C][C]76.5282168956331[/C][C]-2.02821689563305[/C][/ROW]
[ROW][C]57[/C][C]82.7[/C][C]79.4374795640288[/C][C]3.26252043597124[/C][/ROW]
[ROW][C]58[/C][C]83.8[/C][C]87.8930750929081[/C][C]-4.09307509290809[/C][/ROW]
[ROW][C]59[/C][C]81.6[/C][C]83.435421692779[/C][C]-1.83542169277897[/C][/ROW]
[ROW][C]60[/C][C]85.5[/C][C]81.2051621597218[/C][C]4.29483784027825[/C][/ROW]
[ROW][C]61[/C][C]76.7[/C][C]79.5163167168067[/C][C]-2.81631671680667[/C][/ROW]
[ROW][C]62[/C][C]71.8[/C][C]74.9099904267968[/C][C]-3.1099904267968[/C][/ROW]
[ROW][C]63[/C][C]80.2[/C][C]81.9866229080689[/C][C]-1.78662290806888[/C][/ROW]
[ROW][C]64[/C][C]76.8[/C][C]76.2305581388494[/C][C]0.569441861150636[/C][/ROW]
[ROW][C]65[/C][C]76.1[/C][C]78.3360123554684[/C][C]-2.23601235546838[/C][/ROW]
[ROW][C]66[/C][C]80.7[/C][C]79.2081126242968[/C][C]1.4918873757032[/C][/ROW]
[ROW][C]67[/C][C]71.3[/C][C]74.5532753476535[/C][C]-3.25327534765347[/C][/ROW]
[ROW][C]68[/C][C]80.9[/C][C]77.4795262404098[/C][C]3.42047375959022[/C][/ROW]
[ROW][C]69[/C][C]85[/C][C]82.1685125427857[/C][C]2.83148745721429[/C][/ROW]
[ROW][C]70[/C][C]84.5[/C][C]89.734975380308[/C][C]-5.23497538030799[/C][/ROW]
[ROW][C]71[/C][C]87.7[/C][C]85.2090485045704[/C][C]2.49095149542956[/C][/ROW]
[ROW][C]72[/C][C]87.7[/C][C]84.5979239324133[/C][C]3.10207606758669[/C][/ROW]
[ROW][C]73[/C][C]80.2[/C][C]81.8779931339306[/C][C]-1.67799313393057[/C][/ROW]
[ROW][C]74[/C][C]74.4[/C][C]77.4892123711446[/C][C]-3.08921237114458[/C][/ROW]
[ROW][C]75[/C][C]85.8[/C][C]84.6911217070736[/C][C]1.10887829292638[/C][/ROW]
[ROW][C]76[/C][C]77[/C][C]79.8469420161284[/C][C]-2.84694201612835[/C][/ROW]
[ROW][C]77[/C][C]84.5[/C][C]80.852735316633[/C][C]3.64726468336703[/C][/ROW]
[ROW][C]78[/C][C]83.6[/C][C]83.4824699610667[/C][C]0.117530038933282[/C][/ROW]
[ROW][C]79[/C][C]77.7[/C][C]78.0227473927352[/C][C]-0.322747392735167[/C][/ROW]
[ROW][C]80[/C][C]85.7[/C][C]82.333184249995[/C][C]3.36681575000497[/C][/ROW]
[ROW][C]81[/C][C]87.9[/C][C]86.9655561296637[/C][C]0.934443870336338[/C][/ROW]
[ROW][C]82[/C][C]93.7[/C][C]93.2681990330192[/C][C]0.431800966980759[/C][/ROW]
[ROW][C]83[/C][C]92.3[/C][C]90.8868596263685[/C][C]1.41314037363151[/C][/ROW]
[ROW][C]84[/C][C]87[/C][C]90.1181717624108[/C][C]-3.11817176241082[/C][/ROW]
[ROW][C]85[/C][C]89.1[/C][C]85.4632789025585[/C][C]3.63672109744145[/C][/ROW]
[ROW][C]86[/C][C]81.3[/C][C]82.1860943080349[/C][C]-0.886094308034885[/C][/ROW]
[ROW][C]87[/C][C]92.7[/C][C]90.3669767478762[/C][C]2.33302325212385[/C][/ROW]
[ROW][C]88[/C][C]83.9[/C][C]85.4400036828811[/C][C]-1.54000368288111[/C][/ROW]
[ROW][C]89[/C][C]87.3[/C][C]87.4657177124612[/C][C]-0.16571771246123[/C][/ROW]
[ROW][C]90[/C][C]89.1[/C][C]88.8769898999123[/C][C]0.223010100087691[/C][/ROW]
[ROW][C]91[/C][C]86.9[/C][C]83.4262001886939[/C][C]3.47379981130608[/C][/ROW]
[ROW][C]92[/C][C]91.7[/C][C]89.0449893678498[/C][C]2.65501063215018[/C][/ROW]
[ROW][C]93[/C][C]93[/C][C]93.3060670205789[/C][C]-0.306067020578894[/C][/ROW]
[ROW][C]94[/C][C]105.3[/C][C]99.3079159669801[/C][C]5.99208403301985[/C][/ROW]
[ROW][C]95[/C][C]101.6[/C][C]98.3816937457358[/C][C]3.21830625426423[/C][/ROW]
[ROW][C]96[/C][C]94.2[/C][C]97.6378292951559[/C][C]-3.43782929515591[/C][/ROW]
[ROW][C]97[/C][C]100.5[/C][C]93.6771960314002[/C][C]6.82280396859977[/C][/ROW]
[ROW][C]98[/C][C]95.8[/C][C]90.7594171672349[/C][C]5.04058283276505[/C][/ROW]
[ROW][C]99[/C][C]95.8[/C][C]100.761255501031[/C][C]-4.96125550103106[/C][/ROW]
[ROW][C]100[/C][C]102.1[/C][C]93.8246027631275[/C][C]8.27539723687249[/C][/ROW]
[ROW][C]101[/C][C]96[/C][C]98.3945224389104[/C][C]-2.39452243891044[/C][/ROW]
[ROW][C]102[/C][C]96.8[/C][C]99.4457058830942[/C][C]-2.64570588309425[/C][/ROW]
[ROW][C]103[/C][C]98.9[/C][C]93.7679530232673[/C][C]5.13204697673268[/C][/ROW]
[ROW][C]104[/C][C]93.4[/C][C]99.797543715527[/C][C]-6.39754371552699[/C][/ROW]
[ROW][C]105[/C][C]105.5[/C][C]101.722670668187[/C][C]3.77732933181269[/C][/ROW]
[ROW][C]106[/C][C]110.9[/C][C]109.407702075472[/C][C]1.4922979245278[/C][/ROW]
[ROW][C]107[/C][C]98.6[/C][C]107.218306076412[/C][C]-8.61830607641178[/C][/ROW]
[ROW][C]108[/C][C]102.6[/C][C]103.054106443656[/C][C]-0.454106443655519[/C][/ROW]
[ROW][C]109[/C][C]93.5[/C][C]100.866985682257[/C][C]-7.36698568225721[/C][/ROW]
[ROW][C]110[/C][C]90.8[/C][C]94.4327400535786[/C][C]-3.63274005357856[/C][/ROW]
[ROW][C]111[/C][C]99.7[/C][C]101.308488427257[/C][C]-1.60848842725675[/C][/ROW]
[ROW][C]112[/C][C]97.8[/C][C]96.4452977300806[/C][C]1.35470226991941[/C][/ROW]
[ROW][C]113[/C][C]91.1[/C][C]98.2096536151824[/C][C]-7.10965361518241[/C][/ROW]
[ROW][C]114[/C][C]98.1[/C][C]98.0183461467998[/C][C]0.0816538532002085[/C][/ROW]
[ROW][C]115[/C][C]96[/C][C]93.6640982263657[/C][C]2.33590177363428[/C][/ROW]
[ROW][C]116[/C][C]93.5[/C][C]97.7330078289032[/C][C]-4.2330078289032[/C][/ROW]
[ROW][C]117[/C][C]101.2[/C][C]101.095299725945[/C][C]0.104700274055446[/C][/ROW]
[ROW][C]118[/C][C]105.2[/C][C]107.562371395801[/C][C]-2.36237139580093[/C][/ROW]
[ROW][C]119[/C][C]98.9[/C][C]103.287790559411[/C][C]-4.38779055941094[/C][/ROW]
[ROW][C]120[/C][C]101.3[/C][C]100.816796139508[/C][C]0.483203860491628[/C][/ROW]
[ROW][C]121[/C][C]92.1[/C][C]98.0095276948881[/C][C]-5.90952769488815[/C][/ROW]
[ROW][C]122[/C][C]90.6[/C][C]92.1802700604994[/C][C]-1.58027006049944[/C][/ROW]
[ROW][C]123[/C][C]105.4[/C][C]99.6323766710218[/C][C]5.76762332897817[/C][/ROW]
[ROW][C]124[/C][C]98.4[/C][C]96.7114267609705[/C][C]1.68857323902954[/C][/ROW]
[ROW][C]125[/C][C]92.7[/C][C]97.6089400352788[/C][C]-4.90894003527885[/C][/ROW]
[ROW][C]126[/C][C]101.2[/C][C]98.6079899132161[/C][C]2.59201008678387[/C][/ROW]
[ROW][C]127[/C][C]93.4[/C][C]95.0187934016369[/C][C]-1.61879340163686[/C][/ROW]
[ROW][C]128[/C][C]98.3[/C][C]97.4256598159456[/C][C]0.874340184054418[/C][/ROW]
[ROW][C]129[/C][C]104.3[/C][C]102.375298369798[/C][C]1.92470163020216[/C][/ROW]
[ROW][C]130[/C][C]107[/C][C]108.974723440485[/C][C]-1.97472344048541[/C][/ROW]
[ROW][C]131[/C][C]107.7[/C][C]104.547810117106[/C][C]3.15218988289364[/C][/ROW]
[ROW][C]132[/C][C]108.9[/C][C]104.329252975336[/C][C]4.57074702466362[/C][/ROW]
[ROW][C]133[/C][C]99.6[/C][C]101.832208459385[/C][C]-2.23220845938491[/C][/ROW]
[ROW][C]134[/C][C]96.1[/C][C]97.3408607495041[/C][C]-1.24086074950414[/C][/ROW]
[ROW][C]135[/C][C]109[/C][C]105.669879980333[/C][C]3.33012001966659[/C][/ROW]
[ROW][C]136[/C][C]99.5[/C][C]101.792499010938[/C][C]-2.29249901093799[/C][/ROW]
[ROW][C]137[/C][C]104.6[/C][C]101.09725140968[/C][C]3.50274859031978[/C][/ROW]
[ROW][C]138[/C][C]99.9[/C][C]104.869779584116[/C][C]-4.96977958411584[/C][/ROW]
[ROW][C]139[/C][C]94.1[/C][C]99.1078068356763[/C][C]-5.00780683567631[/C][/ROW]
[ROW][C]140[/C][C]105.3[/C][C]100.984325908325[/C][C]4.31567409167455[/C][/ROW]
[ROW][C]141[/C][C]110.4[/C][C]106.854613431443[/C][C]3.54538656855686[/C][/ROW]
[ROW][C]142[/C][C]110.5[/C][C]113.450003301183[/C][C]-2.95000330118286[/C][/ROW]
[ROW][C]143[/C][C]110[/C][C]109.34318616315[/C][C]0.656813836849651[/C][/ROW]
[ROW][C]144[/C][C]108.5[/C][C]108.698203754778[/C][C]-0.198203754778248[/C][/ROW]
[ROW][C]145[/C][C]104.3[/C][C]104.377492110324[/C][C]-0.0774921103235329[/C][/ROW]
[ROW][C]146[/C][C]101.2[/C][C]100.48129593209[/C][C]0.718704067910181[/C][/ROW]
[ROW][C]147[/C][C]109.2[/C][C]109.738544573574[/C][C]-0.538544573574185[/C][/ROW]
[ROW][C]148[/C][C]99.6[/C][C]104.369052626591[/C][C]-4.76905262659093[/C][/ROW]
[ROW][C]149[/C][C]105.6[/C][C]103.669796306744[/C][C]1.93020369325646[/C][/ROW]
[ROW][C]150[/C][C]106.2[/C][C]106.169522531876[/C][C]0.0304774681242179[/C][/ROW]
[ROW][C]151[/C][C]102.2[/C][C]101.551705954837[/C][C]0.648294045162828[/C][/ROW]
[ROW][C]152[/C][C]107.5[/C][C]105.71632284506[/C][C]1.78367715493987[/C][/ROW]
[ROW][C]153[/C][C]105.8[/C][C]110.923917452454[/C][C]-5.12391745245442[/C][/ROW]
[ROW][C]154[/C][C]120.5[/C][C]114.802557130231[/C][C]5.69744286976946[/C][/ROW]
[ROW][C]155[/C][C]113.2[/C][C]113.075855085826[/C][C]0.124144914173755[/C][/ROW]
[ROW][C]156[/C][C]104.3[/C][C]112.220309790029[/C][C]-7.92030979002898[/C][/ROW]
[ROW][C]157[/C][C]107.7[/C][C]106.086368147268[/C][C]1.61363185273171[/C][/ROW]
[ROW][C]158[/C][C]99.2[/C][C]102.636800391238[/C][C]-3.43680039123845[/C][/ROW]
[ROW][C]159[/C][C]105.1[/C][C]110.75391046154[/C][C]-5.65391046153979[/C][/ROW]
[ROW][C]160[/C][C]104.3[/C][C]103.69100817917[/C][C]0.608991820830227[/C][/ROW]
[ROW][C]161[/C][C]106.1[/C][C]104.883224701853[/C][C]1.21677529814686[/C][/ROW]
[ROW][C]162[/C][C]100.8[/C][C]106.97239702002[/C][C]-6.17239702002018[/C][/ROW]
[ROW][C]163[/C][C]106.7[/C][C]100.901604659111[/C][C]5.79839534088914[/C][/ROW]
[ROW][C]164[/C][C]101.6[/C][C]106.322886664565[/C][C]-4.72288666456487[/C][/ROW]
[ROW][C]165[/C][C]104.4[/C][C]109.224856868821[/C][C]-4.82485686882086[/C][/ROW]
[ROW][C]166[/C][C]114.8[/C][C]114.204734634736[/C][C]0.595265365264453[/C][/ROW]
[ROW][C]167[/C][C]105.4[/C][C]110.612785357091[/C][C]-5.21278535709141[/C][/ROW]
[ROW][C]168[/C][C]104[/C][C]107.557532552336[/C][C]-3.55753255233591[/C][/ROW]
[ROW][C]169[/C][C]102[/C][C]103.305389516385[/C][C]-1.30538951638529[/C][/ROW]
[ROW][C]170[/C][C]96.5[/C][C]98.5321457500207[/C][C]-2.03214575002075[/C][/ROW]
[ROW][C]171[/C][C]102.3[/C][C]106.626661006394[/C][C]-4.32666100639358[/C][/ROW]
[ROW][C]172[/C][C]105.3[/C][C]100.403740611989[/C][C]4.89625938801113[/C][/ROW]
[ROW][C]173[/C][C]101.9[/C][C]102.559442234584[/C][C]-0.659442234584262[/C][/ROW]
[ROW][C]174[/C][C]102.2[/C][C]103.34993619053[/C][C]-1.1499361905299[/C][/ROW]
[ROW][C]175[/C][C]102.8[/C][C]99.5994193360906[/C][C]3.20058066390938[/C][/ROW]
[ROW][C]176[/C][C]100.4[/C][C]103.243323863639[/C][C]-2.84332386363866[/C][/ROW]
[ROW][C]177[/C][C]110.7[/C][C]106.488945362898[/C][C]4.2110546371017[/C][/ROW]
[ROW][C]178[/C][C]116.4[/C][C]114.083577194137[/C][C]2.31642280586267[/C][/ROW]
[ROW][C]179[/C][C]106[/C][C]110.261248642126[/C][C]-4.26124864212554[/C][/ROW]
[ROW][C]180[/C][C]109.2[/C][C]107.571125571658[/C][C]1.62887442834189[/C][/ROW]
[ROW][C]181[/C][C]103[/C][C]104.751957030483[/C][C]-1.75195703048348[/C][/ROW]
[ROW][C]182[/C][C]99.8[/C][C]99.7966100729214[/C][C]0.00338992707855823[/C][/ROW]
[ROW][C]183[/C][C]109.8[/C][C]108.132448218878[/C][C]1.66755178112238[/C][/ROW]
[ROW][C]184[/C][C]107.3[/C][C]104.284331209132[/C][C]3.01566879086768[/C][/ROW]
[ROW][C]185[/C][C]101.2[/C][C]105.456781881718[/C][C]-4.25678188171825[/C][/ROW]
[ROW][C]186[/C][C]111.8[/C][C]105.371192827359[/C][C]6.42880717264076[/C][/ROW]
[ROW][C]187[/C][C]106.9[/C][C]103.870448498301[/C][C]3.02955150169947[/C][/ROW]
[ROW][C]188[/C][C]103.5[/C][C]106.895136534391[/C][C]-3.39513653439134[/C][/ROW]
[ROW][C]189[/C][C]113.1[/C][C]110.781001496637[/C][C]2.31899850336312[/C][/ROW]
[ROW][C]190[/C][C]119.4[/C][C]117.773629568822[/C][C]1.62637043117761[/C][/ROW]
[ROW][C]191[/C][C]113.3[/C][C]113.141890677075[/C][C]0.158109322925156[/C][/ROW]
[ROW][C]192[/C][C]115[/C][C]112.133121497882[/C][C]2.86687850211828[/C][/ROW]
[ROW][C]193[/C][C]104.7[/C][C]109.307881887443[/C][C]-4.60788188744324[/C][/ROW]
[ROW][C]194[/C][C]107.2[/C][C]103.913373448695[/C][C]3.28662655130452[/C][/ROW]
[ROW][C]195[/C][C]116.6[/C][C]113.239404179372[/C][C]3.36059582062757[/C][/ROW]
[ROW][C]196[/C][C]111.3[/C][C]109.988272392321[/C][C]1.31172760767868[/C][/ROW]
[ROW][C]197[/C][C]111.4[/C][C]110.07341082567[/C][C]1.32658917432951[/C][/ROW]
[ROW][C]198[/C][C]115[/C][C]112.467685349017[/C][C]2.53231465098345[/C][/ROW]
[ROW][C]199[/C][C]102.4[/C][C]109.778634702431[/C][C]-7.37863470243103[/C][/ROW]
[ROW][C]200[/C][C]111.4[/C][C]109.744249635349[/C][C]1.65575036465052[/C][/ROW]
[ROW][C]201[/C][C]113.2[/C][C]115.430179734077[/C][C]-2.23017973407677[/C][/ROW]
[ROW][C]202[/C][C]112.9[/C][C]121.315306564763[/C][C]-8.41530656476274[/C][/ROW]
[ROW][C]203[/C][C]114.2[/C][C]114.175248990642[/C][C]0.0247510093581269[/C][/ROW]
[ROW][C]204[/C][C]115.6[/C][C]113.385137812544[/C][C]2.21486218745586[/C][/ROW]
[ROW][C]205[/C][C]107.1[/C][C]109.605374575743[/C][C]-2.50537457574325[/C][/ROW]
[ROW][C]206[/C][C]102.3[/C][C]105.489337418535[/C][C]-3.18933741853479[/C][/ROW]
[ROW][C]207[/C][C]117.9[/C][C]113.268225242817[/C][C]4.63177475718319[/C][/ROW]
[ROW][C]208[/C][C]105.8[/C][C]110.053092415951[/C][C]-4.253092415951[/C][/ROW]
[ROW][C]209[/C][C]114.3[/C][C]108.775882005122[/C][C]5.52411799487767[/C][/ROW]
[ROW][C]210[/C][C]113.1[/C][C]112.213604177278[/C][C]0.886395822722363[/C][/ROW]
[ROW][C]211[/C][C]102.9[/C][C]108.059497956338[/C][C]-5.15949795633753[/C][/ROW]
[ROW][C]212[/C][C]112.2[/C][C]109.419721564671[/C][C]2.78027843532929[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310383&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310383&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
1367.765.27628205128212.42371794871794
1463.761.65054078197882.04945921802118
1572.470.69774485236551.70225514763449
166664.78085495329521.21914504670478
1770.169.42857655706860.671423442931356
1870.470.1900035302450.209996469755026
1966.663.92878877096642.67121122903358
2072.670.40079439828032.1992056017197
217473.63212793086190.36787206913813
227982.4448239865654-3.4448239865654
2376.179.3948299349963-3.29482993499627
2472.375.4681685521352-3.16816855213517
2571.672.1724003644722-0.572400364472216
2667.267.8163950192347-0.616395019234673
2773.876.200060233184-2.40006023318402
2870.869.25318375690511.54681624309487
2971.473.8927858607748-2.49278586077477
3070.473.8305014582838-3.43050145828381
3170.766.91922232197743.78077767802264
3270.673.5452007492618-2.9452007492618
3375.575.31618295771520.183817042284801
3482.183.6133174422662-1.51331744226621
3574.380.9558756643758-6.65587566437578
3676.376.17650201449670.123497985503278
3774.573.84041836533180.6595816346682
3871.169.70030665910861.3996933408914
3973.378.3118405306348-5.01184053063484
4073.871.09839381238522.70160618761484
416975.5267215095388-6.52672150953882
4271.174.350970356403-3.25097035640304
4371.968.14396514314493.75603485685515
446973.9899035908687-4.98990359086875
4577.375.51887266200891.78112733799109
4682.883.9283197901504-1.12831979015044
477480.748770452838-6.74877045283802
4877.676.56513653684861.03486346315137
4972.374.4182778972721-2.11827789727207
5070.769.62001770856381.07998229143617
518177.4044575176013.59554248239895
5276.472.93039272740633.46960727259366
5372.376.5377977535105-4.23779775351049
5479.576.19364125490113.30635874509893
5573.372.22347579738671.07652420261326
5674.576.5282168956331-2.02821689563305
5782.779.43747956402883.26252043597124
5883.887.8930750929081-4.09307509290809
5981.683.435421692779-1.83542169277897
6085.581.20516215972184.29483784027825
6176.779.5163167168067-2.81631671680667
6271.874.9099904267968-3.1099904267968
6380.281.9866229080689-1.78662290806888
6476.876.23055813884940.569441861150636
6576.178.3360123554684-2.23601235546838
6680.779.20811262429681.4918873757032
6771.374.5532753476535-3.25327534765347
6880.977.47952624040983.42047375959022
698582.16851254278572.83148745721429
7084.589.734975380308-5.23497538030799
7187.785.20904850457042.49095149542956
7287.784.59792393241333.10207606758669
7380.281.8779931339306-1.67799313393057
7474.477.4892123711446-3.08921237114458
7585.884.69112170707361.10887829292638
767779.8469420161284-2.84694201612835
7784.580.8527353166333.64726468336703
7883.683.48246996106670.117530038933282
7977.778.0227473927352-0.322747392735167
8085.782.3331842499953.36681575000497
8187.986.96555612966370.934443870336338
8293.793.26819903301920.431800966980759
8392.390.88685962636851.41314037363151
848790.1181717624108-3.11817176241082
8589.185.46327890255853.63672109744145
8681.382.1860943080349-0.886094308034885
8792.790.36697674787622.33302325212385
8883.985.4400036828811-1.54000368288111
8987.387.4657177124612-0.16571771246123
9089.188.87698989991230.223010100087691
9186.983.42620018869393.47379981130608
9291.789.04498936784982.65501063215018
939393.3060670205789-0.306067020578894
94105.399.30791596698015.99208403301985
95101.698.38169374573583.21830625426423
9694.297.6378292951559-3.43782929515591
97100.593.67719603140026.82280396859977
9895.890.75941716723495.04058283276505
9995.8100.761255501031-4.96125550103106
100102.193.82460276312758.27539723687249
1019698.3945224389104-2.39452243891044
10296.899.4457058830942-2.64570588309425
10398.993.76795302326735.13204697673268
10493.499.797543715527-6.39754371552699
105105.5101.7226706681873.77732933181269
106110.9109.4077020754721.4922979245278
10798.6107.218306076412-8.61830607641178
108102.6103.054106443656-0.454106443655519
10993.5100.866985682257-7.36698568225721
11090.894.4327400535786-3.63274005357856
11199.7101.308488427257-1.60848842725675
11297.896.44529773008061.35470226991941
11391.198.2096536151824-7.10965361518241
11498.198.01834614679980.0816538532002085
1159693.66409822636572.33590177363428
11693.597.7330078289032-4.2330078289032
117101.2101.0952997259450.104700274055446
118105.2107.562371395801-2.36237139580093
11998.9103.287790559411-4.38779055941094
120101.3100.8167961395080.483203860491628
12192.198.0095276948881-5.90952769488815
12290.692.1802700604994-1.58027006049944
123105.499.63237667102185.76762332897817
12498.496.71142676097051.68857323902954
12592.797.6089400352788-4.90894003527885
126101.298.60798991321612.59201008678387
12793.495.0187934016369-1.61879340163686
12898.397.42565981594560.874340184054418
129104.3102.3752983697981.92470163020216
130107108.974723440485-1.97472344048541
131107.7104.5478101171063.15218988289364
132108.9104.3292529753364.57074702466362
13399.6101.832208459385-2.23220845938491
13496.197.3408607495041-1.24086074950414
135109105.6698799803333.33012001966659
13699.5101.792499010938-2.29249901093799
137104.6101.097251409683.50274859031978
13899.9104.869779584116-4.96977958411584
13994.199.1078068356763-5.00780683567631
140105.3100.9843259083254.31567409167455
141110.4106.8546134314433.54538656855686
142110.5113.450003301183-2.95000330118286
143110109.343186163150.656813836849651
144108.5108.698203754778-0.198203754778248
145104.3104.377492110324-0.0774921103235329
146101.2100.481295932090.718704067910181
147109.2109.738544573574-0.538544573574185
14899.6104.369052626591-4.76905262659093
149105.6103.6697963067441.93020369325646
150106.2106.1695225318760.0304774681242179
151102.2101.5517059548370.648294045162828
152107.5105.716322845061.78367715493987
153105.8110.923917452454-5.12391745245442
154120.5114.8025571302315.69744286976946
155113.2113.0758550858260.124144914173755
156104.3112.220309790029-7.92030979002898
157107.7106.0863681472681.61363185273171
15899.2102.636800391238-3.43680039123845
159105.1110.75391046154-5.65391046153979
160104.3103.691008179170.608991820830227
161106.1104.8832247018531.21677529814686
162100.8106.97239702002-6.17239702002018
163106.7100.9016046591115.79839534088914
164101.6106.322886664565-4.72288666456487
165104.4109.224856868821-4.82485686882086
166114.8114.2047346347360.595265365264453
167105.4110.612785357091-5.21278535709141
168104107.557532552336-3.55753255233591
169102103.305389516385-1.30538951638529
17096.598.5321457500207-2.03214575002075
171102.3106.626661006394-4.32666100639358
172105.3100.4037406119894.89625938801113
173101.9102.559442234584-0.659442234584262
174102.2103.34993619053-1.1499361905299
175102.899.59941933609063.20058066390938
176100.4103.243323863639-2.84332386363866
177110.7106.4889453628984.2110546371017
178116.4114.0835771941372.31642280586267
179106110.261248642126-4.26124864212554
180109.2107.5711255716581.62887442834189
181103104.751957030483-1.75195703048348
18299.899.79661007292140.00338992707855823
183109.8108.1324482188781.66755178112238
184107.3104.2843312091323.01566879086768
185101.2105.456781881718-4.25678188171825
186111.8105.3711928273596.42880717264076
187106.9103.8704484983013.02955150169947
188103.5106.895136534391-3.39513653439134
189113.1110.7810014966372.31899850336312
190119.4117.7736295688221.62637043117761
191113.3113.1418906770750.158109322925156
192115112.1331214978822.86687850211828
193104.7109.307881887443-4.60788188744324
194107.2103.9133734486953.28662655130452
195116.6113.2394041793723.36059582062757
196111.3109.9882723923211.31172760767868
197111.4110.073410825671.32658917432951
198115112.4676853490172.53231465098345
199102.4109.778634702431-7.37863470243103
200111.4109.7442496353491.65575036465052
201113.2115.430179734077-2.23017973407677
202112.9121.315306564763-8.41530656476274
203114.2114.1752489906420.0247510093581269
204115.6113.3851378125442.21486218745586
205107.1109.605374575743-2.50537457574325
206102.3105.489337418535-3.18933741853479
207117.9113.2682252428174.63177475718319
208105.8110.053092415951-4.253092415951
209114.3108.7758820051225.52411799487767
210113.1112.2136041772780.886395822722363
211102.9108.059497956338-5.15949795633753
212112.2109.4197215646712.78027843532929







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213114.919829486721108.164605393741121.675053579701
214120.648981521281113.707316464901127.590646577661
215116.334430032112109.203955930304123.464904133921
216115.768772894861108.447165039223123.090380750498
217110.982840884022103.467815711673118.497866056371
218107.38287852906199.672191547667115.093565510455
219116.72832474556108.8197686002124.636880890919
220111.522413625072103.413816296348119.631010953796
221112.25823270083103.947455824335120.569009577325
222113.930143128238105.415080426219122.445205830258
223108.93598741244100.214563229127117.657411595754
224112.324013742962103.394181675709121.253845810214

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 114.919829486721 & 108.164605393741 & 121.675053579701 \tabularnewline
214 & 120.648981521281 & 113.707316464901 & 127.590646577661 \tabularnewline
215 & 116.334430032112 & 109.203955930304 & 123.464904133921 \tabularnewline
216 & 115.768772894861 & 108.447165039223 & 123.090380750498 \tabularnewline
217 & 110.982840884022 & 103.467815711673 & 118.497866056371 \tabularnewline
218 & 107.382878529061 & 99.672191547667 & 115.093565510455 \tabularnewline
219 & 116.72832474556 & 108.8197686002 & 124.636880890919 \tabularnewline
220 & 111.522413625072 & 103.413816296348 & 119.631010953796 \tabularnewline
221 & 112.25823270083 & 103.947455824335 & 120.569009577325 \tabularnewline
222 & 113.930143128238 & 105.415080426219 & 122.445205830258 \tabularnewline
223 & 108.93598741244 & 100.214563229127 & 117.657411595754 \tabularnewline
224 & 112.324013742962 & 103.394181675709 & 121.253845810214 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310383&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]114.919829486721[/C][C]108.164605393741[/C][C]121.675053579701[/C][/ROW]
[ROW][C]214[/C][C]120.648981521281[/C][C]113.707316464901[/C][C]127.590646577661[/C][/ROW]
[ROW][C]215[/C][C]116.334430032112[/C][C]109.203955930304[/C][C]123.464904133921[/C][/ROW]
[ROW][C]216[/C][C]115.768772894861[/C][C]108.447165039223[/C][C]123.090380750498[/C][/ROW]
[ROW][C]217[/C][C]110.982840884022[/C][C]103.467815711673[/C][C]118.497866056371[/C][/ROW]
[ROW][C]218[/C][C]107.382878529061[/C][C]99.672191547667[/C][C]115.093565510455[/C][/ROW]
[ROW][C]219[/C][C]116.72832474556[/C][C]108.8197686002[/C][C]124.636880890919[/C][/ROW]
[ROW][C]220[/C][C]111.522413625072[/C][C]103.413816296348[/C][C]119.631010953796[/C][/ROW]
[ROW][C]221[/C][C]112.25823270083[/C][C]103.947455824335[/C][C]120.569009577325[/C][/ROW]
[ROW][C]222[/C][C]113.930143128238[/C][C]105.415080426219[/C][C]122.445205830258[/C][/ROW]
[ROW][C]223[/C][C]108.93598741244[/C][C]100.214563229127[/C][C]117.657411595754[/C][/ROW]
[ROW][C]224[/C][C]112.324013742962[/C][C]103.394181675709[/C][C]121.253845810214[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310383&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310383&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
213114.919829486721108.164605393741121.675053579701
214120.648981521281113.707316464901127.590646577661
215116.334430032112109.203955930304123.464904133921
216115.768772894861108.447165039223123.090380750498
217110.982840884022103.467815711673118.497866056371
218107.38287852906199.672191547667115.093565510455
219116.72832474556108.8197686002124.636880890919
220111.522413625072103.413816296348119.631010953796
221112.25823270083103.947455824335120.569009577325
222113.930143128238105.415080426219122.445205830258
223108.93598741244100.214563229127117.657411595754
224112.324013742962103.394181675709121.253845810214



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