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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 20 Dec 2017 16:13:05 +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/20/t151378280373d5ubplsq0rdo9.htm/, Retrieved Tue, 14 May 2024 01:50:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310522, Retrieved Tue, 14 May 2024 01:50:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact81
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [dataset 3 - tripl...] [2017-12-20 15:13:05] [6bf860cf1a792f74e81bfd3c0354928d] [Current]
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Dataseries X:
46.8
52.8
58.3
54.5
64.7
58.3
57.5
56.7
56
66.2
58.2
53.9
53.1
54.4
59.2
57.8
61.5
60.1
60.1
58.4
56.8
63.8
53.9
63.1
55.7
54.9
64.6
60.2
63.9
69.9
58.5
52
66.7
72
68.4
70.8
56.5
62.6
66.5
69.2
63.7
73.6
64.1
53.8
72.2
80.2
69.1
72
66.3
72.5
88.9
88.6
73.7
86
70
71.6
90.5
85.7
84.8
81.1
70.8
65.7
86.2
76.1
79.8
85.2
75.8
69.4
85
75
77.7
68.5
68.4
65
73.2
67.9
76.5
85.5
71.7
57.9
75.5
78.2
75.7
67.1
74.6
66.2
74.9
69.5
76.1
82.3
82.1
60.5
71.2
81.4
74.5
61.4
83.8
85.4
91.6
91.9
86.3
96.8
81
70.8
98.8
94.5
84.5
92.8
81.2
75.7
86.7
87.5
87.8
103.1
96.4
77.1
106.5
95.7
95.3
86.6
89.6
81.9
98.4
92.9
83.9
121.8
103.9
87.5
118.9
109
112.2
100.1
111.3
102.7
122.6
124.8
120.3
118.3
108.7
100.7
124
103.1
115
112.7
101.7
111.5
114.4
112.5
107.2
136.7
107.8
94.6
110.7
126.6
127.9
109.2
87.1
90.8
94.5
103.3
103.2
105.4
103.9
79.8
105.6
113
87.7
110
90.3
108.9
105.1
113
100.4
110.1
114.7
88.6
117.2
127.7
107.8
102.8
100.2
108.4
114.2
94.4
92.2
115.3
102
86.3
112
112.5
109.5
105.9
115.3
126.2
112.2
112.5
106.9
90.6
75.6
78.8
101.8
93.9
100
89.2
97.7
121.1
108.8
92.9
113.6
112.6
98.8
78




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=310522&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=310522&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310522&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
alpha0.326093750286935
beta0
gamma0.261086032626996

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.326093750286935 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.261086032626996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310522&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]0.326093750286935[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.261086032626996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310522&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310522&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
alpha0.326093750286935
beta0
gamma0.261086032626996







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1353.152.64345619658120.456543803418789
1454.453.98165337317940.418346626820586
1559.258.88239468921030.317605310789688
1657.857.72111822502120.0788817749788109
1761.561.7944955077578-0.294495507757759
1860.160.1627834587615-0.0627834587614515
1960.158.48996459414241.61003540585762
2058.457.95430817330430.445691826695672
2156.857.3639665881148-0.563966588114837
2263.867.2735483705977-3.4735483705977
2353.958.2051670511975-4.30516705119752
2463.152.628100077431910.4718999225681
2555.755.20840336972260.491596630277385
2654.956.5513103560122-1.65131035601217
2764.660.75942428108453.8405757189155
2860.260.7049636379415-0.504963637941508
2963.964.522257777539-0.622257777539012
3069.962.82443365863667.07556634136345
3158.563.7737143636056-5.27371436360562
325260.7884468119162-8.78844681191622
3366.757.00926344426449.6907365557356
347269.75090616585372.24909383414628
3568.462.40232146917615.99767853082388
3670.862.78493617571878.01506382428125
3756.562.8080710665365-6.30807106653653
3862.661.55660976639621.04339023360378
3966.567.609732387782-1.109732387782
4069.265.17642038351474.02357961648531
4163.770.4498065645906-6.74980656459061
4273.668.10824006086415.4917599391359
4364.166.3682262171848-2.26822621718482
4453.863.7446211471711-9.94462114717109
4572.262.83978283829329.36021716170676
4680.274.16430675066456.03569324933554
4769.168.71006259815150.389937401848471
487267.61898188658734.38101811341269
4966.363.93695727628942.36304272371063
5072.566.80656329518115.69343670481886
5188.973.99720044735414.902799552646
5288.677.688668495714810.9113315042852
5373.783.3125570577953-9.61255705779531
548682.19133864341813.80866135658194
557078.5371266359951-8.53712663599509
5671.672.5186297514363-0.918629751436299
5790.577.953749040878912.5462509591211
5885.789.7322769614644-4.03227696146436
5984.880.00157396678174.79842603321826
6081.181.05029455593550.0497054440645286
6170.875.600798210381-4.80079821038105
6265.776.7202949979138-11.0202949979138
6386.280.08105315132746.11894684867265
6476.180.2058728687196-4.10587286871963
6579.877.32161786843512.4783821315649
6685.282.50460910790592.69539089209407
6775.876.3151559144623-0.515155914462326
6869.474.2530290971053-4.85302909710528
698580.77427757014514.22572242985493
707586.9225824460789-11.9225824460789
7177.776.17264034052611.52735965947387
7268.575.319161069354-6.81916106935401
7368.466.77633624633791.62366375366213
746568.8965049616787-3.89650496167867
7573.277.5958934350363-4.39589343503627
7667.972.4928578903728-4.59285789037277
7776.570.60828338462395.8917166153761
7885.576.94252381777258.55747618222753
7971.772.0997722876274-0.399772287627385
8057.969.3120333685884-11.4120333685884
8175.575.29181525749980.208184742500194
8278.277.28877218293510.911227817064898
8375.773.09033920757472.60966079242527
8467.171.1212420398967-4.02124203989673
8574.664.97629512357389.62370487642615
8666.268.7339673158098-2.53396731580985
8774.977.7898046420554-2.88980464205535
8869.573.1432398348624-3.64323983486241
8976.173.41306461043632.68693538956374
9082.379.17127967045783.12872032954216
9182.170.982239228256611.1177607717434
9260.570.0127159518463-9.5127159518463
9371.278.6564018120146-7.45640181201458
9481.478.27768364124913.12231635875092
9574.575.0991078720517-0.599107872051732
9661.470.9169604603392-9.51696046033924
9783.865.380688535503718.4193114644963
9885.469.867440927412215.5325590725878
9991.684.75205090711046.84794909288956
10091.983.14834168927358.7516583107265
10186.388.5738438484721-2.27384384847208
10296.892.79211076216424.00788923783584
1038186.2954135723095-5.29541357230951
10470.876.3437757288701-5.54377572887007
10598.886.643511541844112.1564884581559
10694.594.521733424863-0.0217334248630152
10784.589.6631273469236-5.1631273469236
10892.882.423607758836310.3763922411637
10981.288.289751280933-7.089751280933
11075.783.9502408431346-8.25024084313462
11186.789.5513929125572-2.85139291255717
11287.585.11974177977792.38025822022213
11387.886.52766054739641.27233945260363
114103.193.007570962308810.0924290376912
11596.486.85811121870999.54188878129013
11677.181.7011262410953-4.60112624109533
117106.595.422571554865211.0774284451348
11895.7100.806190905868-5.10619090586761
11995.393.38495956588391.91504043411612
12086.691.1877260188125-4.58772601881246
12189.689.10103965147820.498960348521777
12281.987.0319754009688-5.13197540096876
12398.494.59988818821283.80011181178723
12492.993.2577471613396-0.357747161339546
12583.993.577883938331-9.67788393833104
126121.898.0388677337523.76113226625
127103.996.24982050073787.65017949926218
12887.587.9875326845399-0.487532684539858
129118.9105.80899779165513.0910022083447
130109109.001763449549-0.00176344954880392
131112.2104.480422166957.71957783305048
132100.1103.031866429325-2.93186642932477
133111.3102.3801353213818.91986467861885
134102.7102.0663262256550.633673774345141
135122.6113.0859596714659.51404032853478
136124.8112.87553009397811.9244699060216
137120.3115.560966245924.73903375408018
138118.3130.60672840719-12.3067284071898
139108.7114.221495213768-5.52149521376779
140100.7100.2321964043250.467803595675392
141124120.7543000934733.24569990652728
142103.1118.43293469632-15.33293469632
143115110.2707450511554.72925494884484
144112.7105.9729686233676.72703137663277
145101.7110.556226291574-8.85622629157366
146111.5102.9878103764018.51218962359947
147114.4118.139056977295-3.73905697729498
148112.5114.030984276453-1.53098427645256
149107.2111.064421319485-3.86442131948488
150136.7120.30549115740216.3945088425977
151107.8114.473396935685-6.67339693568465
15294.6101.162272380557-6.56227238055749
153110.7119.880676166247-9.18067616624654
154126.6110.23828271219516.3617172878051
155127.9115.94141329173411.9585867082664
156109.2114.352580555652-5.15258055565215
15787.1112.32013564652-25.2201356465201
15890.8102.471480677727-11.6714806777266
15994.5108.885382212708-14.3853822127079
160103.3101.69411428071.60588571929955
161103.299.33990258944673.86009741055335
162105.4114.664398008256-9.2643980082557
163103.996.4063540614357.49364593856497
16479.887.7345657363222-7.93456573632221
165105.6105.5447716112260.0552283887742107
166113103.4082694155099.59173058449133
16787.7106.129029783859-18.4290297838588
16811091.620317965697118.3796820343029
16990.393.7307604852927-3.43076048529271
170108.993.371336672649115.5286633273509
171105.1108.177530959568-3.07753095956785
172113107.4873064103735.51269358962701
173100.4106.803703281265-6.40370328126527
174110.1116.472015163146-6.37201516314613
175114.7102.10569527538612.5943047246137
17688.692.3826444886843-3.7826444886843
177117.2112.952550308664.24744969134038
178127.7113.86102908639313.8389709136066
179107.8113.036604992132-5.23660499213196
180102.8109.306261607273-6.50626160727255
181100.299.46406040166330.735939598336699
182108.4103.7992348394194.60076516058055
183114.2111.7681962917662.43180370823391
18494.4114.385959958022-19.9859599580221
18592.2103.290744919412-11.0907449194122
186115.3111.436217261213.86378273879012
187102103.744803839519-1.74480383951902
18886.386.4643759446285-0.164375944628503
189112109.6270515924952.37294840750505
190112.5111.6118714842040.88812851579614
191109.5103.20795855786.29204144219962
192105.9103.0136418055982.88635819440222
193115.397.508562478664817.7914375213352
194126.2108.08543462792618.1145653720741
195112.2120.079538506992-7.87953850699222
196112.5115.39048824312-2.89048824312019
197106.9111.4350906179-4.53509061790025
19890.6124.349532747692-33.7495327476922
19975.6103.405835380263-27.8058353802628
20078.877.90514032532340.89485967467661
201101.8101.859661988264-0.0596619882635281
20293.9102.789972471621-8.88997247162077
20310092.14828694234087.85171305765923
20489.291.8633478722055-2.66334787220549
20597.787.171055661535810.5289443384642
206121.195.436527712819625.6634722871804
207108.8105.3186851295883.48131487041159
20892.9105.212149116718-12.3121491167175
209113.697.895043071991915.7049569280081
210112.6112.2694298895280.330570110471584
21198.8103.484819819926-4.68481981992629
2127890.5735592438583-12.5735592438583

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 53.1 & 52.6434561965812 & 0.456543803418789 \tabularnewline
14 & 54.4 & 53.9816533731794 & 0.418346626820586 \tabularnewline
15 & 59.2 & 58.8823946892103 & 0.317605310789688 \tabularnewline
16 & 57.8 & 57.7211182250212 & 0.0788817749788109 \tabularnewline
17 & 61.5 & 61.7944955077578 & -0.294495507757759 \tabularnewline
18 & 60.1 & 60.1627834587615 & -0.0627834587614515 \tabularnewline
19 & 60.1 & 58.4899645941424 & 1.61003540585762 \tabularnewline
20 & 58.4 & 57.9543081733043 & 0.445691826695672 \tabularnewline
21 & 56.8 & 57.3639665881148 & -0.563966588114837 \tabularnewline
22 & 63.8 & 67.2735483705977 & -3.4735483705977 \tabularnewline
23 & 53.9 & 58.2051670511975 & -4.30516705119752 \tabularnewline
24 & 63.1 & 52.6281000774319 & 10.4718999225681 \tabularnewline
25 & 55.7 & 55.2084033697226 & 0.491596630277385 \tabularnewline
26 & 54.9 & 56.5513103560122 & -1.65131035601217 \tabularnewline
27 & 64.6 & 60.7594242810845 & 3.8405757189155 \tabularnewline
28 & 60.2 & 60.7049636379415 & -0.504963637941508 \tabularnewline
29 & 63.9 & 64.522257777539 & -0.622257777539012 \tabularnewline
30 & 69.9 & 62.8244336586366 & 7.07556634136345 \tabularnewline
31 & 58.5 & 63.7737143636056 & -5.27371436360562 \tabularnewline
32 & 52 & 60.7884468119162 & -8.78844681191622 \tabularnewline
33 & 66.7 & 57.0092634442644 & 9.6907365557356 \tabularnewline
34 & 72 & 69.7509061658537 & 2.24909383414628 \tabularnewline
35 & 68.4 & 62.4023214691761 & 5.99767853082388 \tabularnewline
36 & 70.8 & 62.7849361757187 & 8.01506382428125 \tabularnewline
37 & 56.5 & 62.8080710665365 & -6.30807106653653 \tabularnewline
38 & 62.6 & 61.5566097663962 & 1.04339023360378 \tabularnewline
39 & 66.5 & 67.609732387782 & -1.109732387782 \tabularnewline
40 & 69.2 & 65.1764203835147 & 4.02357961648531 \tabularnewline
41 & 63.7 & 70.4498065645906 & -6.74980656459061 \tabularnewline
42 & 73.6 & 68.1082400608641 & 5.4917599391359 \tabularnewline
43 & 64.1 & 66.3682262171848 & -2.26822621718482 \tabularnewline
44 & 53.8 & 63.7446211471711 & -9.94462114717109 \tabularnewline
45 & 72.2 & 62.8397828382932 & 9.36021716170676 \tabularnewline
46 & 80.2 & 74.1643067506645 & 6.03569324933554 \tabularnewline
47 & 69.1 & 68.7100625981515 & 0.389937401848471 \tabularnewline
48 & 72 & 67.6189818865873 & 4.38101811341269 \tabularnewline
49 & 66.3 & 63.9369572762894 & 2.36304272371063 \tabularnewline
50 & 72.5 & 66.8065632951811 & 5.69343670481886 \tabularnewline
51 & 88.9 & 73.997200447354 & 14.902799552646 \tabularnewline
52 & 88.6 & 77.6886684957148 & 10.9113315042852 \tabularnewline
53 & 73.7 & 83.3125570577953 & -9.61255705779531 \tabularnewline
54 & 86 & 82.1913386434181 & 3.80866135658194 \tabularnewline
55 & 70 & 78.5371266359951 & -8.53712663599509 \tabularnewline
56 & 71.6 & 72.5186297514363 & -0.918629751436299 \tabularnewline
57 & 90.5 & 77.9537490408789 & 12.5462509591211 \tabularnewline
58 & 85.7 & 89.7322769614644 & -4.03227696146436 \tabularnewline
59 & 84.8 & 80.0015739667817 & 4.79842603321826 \tabularnewline
60 & 81.1 & 81.0502945559355 & 0.0497054440645286 \tabularnewline
61 & 70.8 & 75.600798210381 & -4.80079821038105 \tabularnewline
62 & 65.7 & 76.7202949979138 & -11.0202949979138 \tabularnewline
63 & 86.2 & 80.0810531513274 & 6.11894684867265 \tabularnewline
64 & 76.1 & 80.2058728687196 & -4.10587286871963 \tabularnewline
65 & 79.8 & 77.3216178684351 & 2.4783821315649 \tabularnewline
66 & 85.2 & 82.5046091079059 & 2.69539089209407 \tabularnewline
67 & 75.8 & 76.3151559144623 & -0.515155914462326 \tabularnewline
68 & 69.4 & 74.2530290971053 & -4.85302909710528 \tabularnewline
69 & 85 & 80.7742775701451 & 4.22572242985493 \tabularnewline
70 & 75 & 86.9225824460789 & -11.9225824460789 \tabularnewline
71 & 77.7 & 76.1726403405261 & 1.52735965947387 \tabularnewline
72 & 68.5 & 75.319161069354 & -6.81916106935401 \tabularnewline
73 & 68.4 & 66.7763362463379 & 1.62366375366213 \tabularnewline
74 & 65 & 68.8965049616787 & -3.89650496167867 \tabularnewline
75 & 73.2 & 77.5958934350363 & -4.39589343503627 \tabularnewline
76 & 67.9 & 72.4928578903728 & -4.59285789037277 \tabularnewline
77 & 76.5 & 70.6082833846239 & 5.8917166153761 \tabularnewline
78 & 85.5 & 76.9425238177725 & 8.55747618222753 \tabularnewline
79 & 71.7 & 72.0997722876274 & -0.399772287627385 \tabularnewline
80 & 57.9 & 69.3120333685884 & -11.4120333685884 \tabularnewline
81 & 75.5 & 75.2918152574998 & 0.208184742500194 \tabularnewline
82 & 78.2 & 77.2887721829351 & 0.911227817064898 \tabularnewline
83 & 75.7 & 73.0903392075747 & 2.60966079242527 \tabularnewline
84 & 67.1 & 71.1212420398967 & -4.02124203989673 \tabularnewline
85 & 74.6 & 64.9762951235738 & 9.62370487642615 \tabularnewline
86 & 66.2 & 68.7339673158098 & -2.53396731580985 \tabularnewline
87 & 74.9 & 77.7898046420554 & -2.88980464205535 \tabularnewline
88 & 69.5 & 73.1432398348624 & -3.64323983486241 \tabularnewline
89 & 76.1 & 73.4130646104363 & 2.68693538956374 \tabularnewline
90 & 82.3 & 79.1712796704578 & 3.12872032954216 \tabularnewline
91 & 82.1 & 70.9822392282566 & 11.1177607717434 \tabularnewline
92 & 60.5 & 70.0127159518463 & -9.5127159518463 \tabularnewline
93 & 71.2 & 78.6564018120146 & -7.45640181201458 \tabularnewline
94 & 81.4 & 78.2776836412491 & 3.12231635875092 \tabularnewline
95 & 74.5 & 75.0991078720517 & -0.599107872051732 \tabularnewline
96 & 61.4 & 70.9169604603392 & -9.51696046033924 \tabularnewline
97 & 83.8 & 65.3806885355037 & 18.4193114644963 \tabularnewline
98 & 85.4 & 69.8674409274122 & 15.5325590725878 \tabularnewline
99 & 91.6 & 84.7520509071104 & 6.84794909288956 \tabularnewline
100 & 91.9 & 83.1483416892735 & 8.7516583107265 \tabularnewline
101 & 86.3 & 88.5738438484721 & -2.27384384847208 \tabularnewline
102 & 96.8 & 92.7921107621642 & 4.00788923783584 \tabularnewline
103 & 81 & 86.2954135723095 & -5.29541357230951 \tabularnewline
104 & 70.8 & 76.3437757288701 & -5.54377572887007 \tabularnewline
105 & 98.8 & 86.6435115418441 & 12.1564884581559 \tabularnewline
106 & 94.5 & 94.521733424863 & -0.0217334248630152 \tabularnewline
107 & 84.5 & 89.6631273469236 & -5.1631273469236 \tabularnewline
108 & 92.8 & 82.4236077588363 & 10.3763922411637 \tabularnewline
109 & 81.2 & 88.289751280933 & -7.089751280933 \tabularnewline
110 & 75.7 & 83.9502408431346 & -8.25024084313462 \tabularnewline
111 & 86.7 & 89.5513929125572 & -2.85139291255717 \tabularnewline
112 & 87.5 & 85.1197417797779 & 2.38025822022213 \tabularnewline
113 & 87.8 & 86.5276605473964 & 1.27233945260363 \tabularnewline
114 & 103.1 & 93.0075709623088 & 10.0924290376912 \tabularnewline
115 & 96.4 & 86.8581112187099 & 9.54188878129013 \tabularnewline
116 & 77.1 & 81.7011262410953 & -4.60112624109533 \tabularnewline
117 & 106.5 & 95.4225715548652 & 11.0774284451348 \tabularnewline
118 & 95.7 & 100.806190905868 & -5.10619090586761 \tabularnewline
119 & 95.3 & 93.3849595658839 & 1.91504043411612 \tabularnewline
120 & 86.6 & 91.1877260188125 & -4.58772601881246 \tabularnewline
121 & 89.6 & 89.1010396514782 & 0.498960348521777 \tabularnewline
122 & 81.9 & 87.0319754009688 & -5.13197540096876 \tabularnewline
123 & 98.4 & 94.5998881882128 & 3.80011181178723 \tabularnewline
124 & 92.9 & 93.2577471613396 & -0.357747161339546 \tabularnewline
125 & 83.9 & 93.577883938331 & -9.67788393833104 \tabularnewline
126 & 121.8 & 98.03886773375 & 23.76113226625 \tabularnewline
127 & 103.9 & 96.2498205007378 & 7.65017949926218 \tabularnewline
128 & 87.5 & 87.9875326845399 & -0.487532684539858 \tabularnewline
129 & 118.9 & 105.808997791655 & 13.0910022083447 \tabularnewline
130 & 109 & 109.001763449549 & -0.00176344954880392 \tabularnewline
131 & 112.2 & 104.48042216695 & 7.71957783305048 \tabularnewline
132 & 100.1 & 103.031866429325 & -2.93186642932477 \tabularnewline
133 & 111.3 & 102.380135321381 & 8.91986467861885 \tabularnewline
134 & 102.7 & 102.066326225655 & 0.633673774345141 \tabularnewline
135 & 122.6 & 113.085959671465 & 9.51404032853478 \tabularnewline
136 & 124.8 & 112.875530093978 & 11.9244699060216 \tabularnewline
137 & 120.3 & 115.56096624592 & 4.73903375408018 \tabularnewline
138 & 118.3 & 130.60672840719 & -12.3067284071898 \tabularnewline
139 & 108.7 & 114.221495213768 & -5.52149521376779 \tabularnewline
140 & 100.7 & 100.232196404325 & 0.467803595675392 \tabularnewline
141 & 124 & 120.754300093473 & 3.24569990652728 \tabularnewline
142 & 103.1 & 118.43293469632 & -15.33293469632 \tabularnewline
143 & 115 & 110.270745051155 & 4.72925494884484 \tabularnewline
144 & 112.7 & 105.972968623367 & 6.72703137663277 \tabularnewline
145 & 101.7 & 110.556226291574 & -8.85622629157366 \tabularnewline
146 & 111.5 & 102.987810376401 & 8.51218962359947 \tabularnewline
147 & 114.4 & 118.139056977295 & -3.73905697729498 \tabularnewline
148 & 112.5 & 114.030984276453 & -1.53098427645256 \tabularnewline
149 & 107.2 & 111.064421319485 & -3.86442131948488 \tabularnewline
150 & 136.7 & 120.305491157402 & 16.3945088425977 \tabularnewline
151 & 107.8 & 114.473396935685 & -6.67339693568465 \tabularnewline
152 & 94.6 & 101.162272380557 & -6.56227238055749 \tabularnewline
153 & 110.7 & 119.880676166247 & -9.18067616624654 \tabularnewline
154 & 126.6 & 110.238282712195 & 16.3617172878051 \tabularnewline
155 & 127.9 & 115.941413291734 & 11.9585867082664 \tabularnewline
156 & 109.2 & 114.352580555652 & -5.15258055565215 \tabularnewline
157 & 87.1 & 112.32013564652 & -25.2201356465201 \tabularnewline
158 & 90.8 & 102.471480677727 & -11.6714806777266 \tabularnewline
159 & 94.5 & 108.885382212708 & -14.3853822127079 \tabularnewline
160 & 103.3 & 101.6941142807 & 1.60588571929955 \tabularnewline
161 & 103.2 & 99.3399025894467 & 3.86009741055335 \tabularnewline
162 & 105.4 & 114.664398008256 & -9.2643980082557 \tabularnewline
163 & 103.9 & 96.406354061435 & 7.49364593856497 \tabularnewline
164 & 79.8 & 87.7345657363222 & -7.93456573632221 \tabularnewline
165 & 105.6 & 105.544771611226 & 0.0552283887742107 \tabularnewline
166 & 113 & 103.408269415509 & 9.59173058449133 \tabularnewline
167 & 87.7 & 106.129029783859 & -18.4290297838588 \tabularnewline
168 & 110 & 91.6203179656971 & 18.3796820343029 \tabularnewline
169 & 90.3 & 93.7307604852927 & -3.43076048529271 \tabularnewline
170 & 108.9 & 93.3713366726491 & 15.5286633273509 \tabularnewline
171 & 105.1 & 108.177530959568 & -3.07753095956785 \tabularnewline
172 & 113 & 107.487306410373 & 5.51269358962701 \tabularnewline
173 & 100.4 & 106.803703281265 & -6.40370328126527 \tabularnewline
174 & 110.1 & 116.472015163146 & -6.37201516314613 \tabularnewline
175 & 114.7 & 102.105695275386 & 12.5943047246137 \tabularnewline
176 & 88.6 & 92.3826444886843 & -3.7826444886843 \tabularnewline
177 & 117.2 & 112.95255030866 & 4.24744969134038 \tabularnewline
178 & 127.7 & 113.861029086393 & 13.8389709136066 \tabularnewline
179 & 107.8 & 113.036604992132 & -5.23660499213196 \tabularnewline
180 & 102.8 & 109.306261607273 & -6.50626160727255 \tabularnewline
181 & 100.2 & 99.4640604016633 & 0.735939598336699 \tabularnewline
182 & 108.4 & 103.799234839419 & 4.60076516058055 \tabularnewline
183 & 114.2 & 111.768196291766 & 2.43180370823391 \tabularnewline
184 & 94.4 & 114.385959958022 & -19.9859599580221 \tabularnewline
185 & 92.2 & 103.290744919412 & -11.0907449194122 \tabularnewline
186 & 115.3 & 111.43621726121 & 3.86378273879012 \tabularnewline
187 & 102 & 103.744803839519 & -1.74480383951902 \tabularnewline
188 & 86.3 & 86.4643759446285 & -0.164375944628503 \tabularnewline
189 & 112 & 109.627051592495 & 2.37294840750505 \tabularnewline
190 & 112.5 & 111.611871484204 & 0.88812851579614 \tabularnewline
191 & 109.5 & 103.2079585578 & 6.29204144219962 \tabularnewline
192 & 105.9 & 103.013641805598 & 2.88635819440222 \tabularnewline
193 & 115.3 & 97.5085624786648 & 17.7914375213352 \tabularnewline
194 & 126.2 & 108.085434627926 & 18.1145653720741 \tabularnewline
195 & 112.2 & 120.079538506992 & -7.87953850699222 \tabularnewline
196 & 112.5 & 115.39048824312 & -2.89048824312019 \tabularnewline
197 & 106.9 & 111.4350906179 & -4.53509061790025 \tabularnewline
198 & 90.6 & 124.349532747692 & -33.7495327476922 \tabularnewline
199 & 75.6 & 103.405835380263 & -27.8058353802628 \tabularnewline
200 & 78.8 & 77.9051403253234 & 0.89485967467661 \tabularnewline
201 & 101.8 & 101.859661988264 & -0.0596619882635281 \tabularnewline
202 & 93.9 & 102.789972471621 & -8.88997247162077 \tabularnewline
203 & 100 & 92.1482869423408 & 7.85171305765923 \tabularnewline
204 & 89.2 & 91.8633478722055 & -2.66334787220549 \tabularnewline
205 & 97.7 & 87.1710556615358 & 10.5289443384642 \tabularnewline
206 & 121.1 & 95.4365277128196 & 25.6634722871804 \tabularnewline
207 & 108.8 & 105.318685129588 & 3.48131487041159 \tabularnewline
208 & 92.9 & 105.212149116718 & -12.3121491167175 \tabularnewline
209 & 113.6 & 97.8950430719919 & 15.7049569280081 \tabularnewline
210 & 112.6 & 112.269429889528 & 0.330570110471584 \tabularnewline
211 & 98.8 & 103.484819819926 & -4.68481981992629 \tabularnewline
212 & 78 & 90.5735592438583 & -12.5735592438583 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310522&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]53.1[/C][C]52.6434561965812[/C][C]0.456543803418789[/C][/ROW]
[ROW][C]14[/C][C]54.4[/C][C]53.9816533731794[/C][C]0.418346626820586[/C][/ROW]
[ROW][C]15[/C][C]59.2[/C][C]58.8823946892103[/C][C]0.317605310789688[/C][/ROW]
[ROW][C]16[/C][C]57.8[/C][C]57.7211182250212[/C][C]0.0788817749788109[/C][/ROW]
[ROW][C]17[/C][C]61.5[/C][C]61.7944955077578[/C][C]-0.294495507757759[/C][/ROW]
[ROW][C]18[/C][C]60.1[/C][C]60.1627834587615[/C][C]-0.0627834587614515[/C][/ROW]
[ROW][C]19[/C][C]60.1[/C][C]58.4899645941424[/C][C]1.61003540585762[/C][/ROW]
[ROW][C]20[/C][C]58.4[/C][C]57.9543081733043[/C][C]0.445691826695672[/C][/ROW]
[ROW][C]21[/C][C]56.8[/C][C]57.3639665881148[/C][C]-0.563966588114837[/C][/ROW]
[ROW][C]22[/C][C]63.8[/C][C]67.2735483705977[/C][C]-3.4735483705977[/C][/ROW]
[ROW][C]23[/C][C]53.9[/C][C]58.2051670511975[/C][C]-4.30516705119752[/C][/ROW]
[ROW][C]24[/C][C]63.1[/C][C]52.6281000774319[/C][C]10.4718999225681[/C][/ROW]
[ROW][C]25[/C][C]55.7[/C][C]55.2084033697226[/C][C]0.491596630277385[/C][/ROW]
[ROW][C]26[/C][C]54.9[/C][C]56.5513103560122[/C][C]-1.65131035601217[/C][/ROW]
[ROW][C]27[/C][C]64.6[/C][C]60.7594242810845[/C][C]3.8405757189155[/C][/ROW]
[ROW][C]28[/C][C]60.2[/C][C]60.7049636379415[/C][C]-0.504963637941508[/C][/ROW]
[ROW][C]29[/C][C]63.9[/C][C]64.522257777539[/C][C]-0.622257777539012[/C][/ROW]
[ROW][C]30[/C][C]69.9[/C][C]62.8244336586366[/C][C]7.07556634136345[/C][/ROW]
[ROW][C]31[/C][C]58.5[/C][C]63.7737143636056[/C][C]-5.27371436360562[/C][/ROW]
[ROW][C]32[/C][C]52[/C][C]60.7884468119162[/C][C]-8.78844681191622[/C][/ROW]
[ROW][C]33[/C][C]66.7[/C][C]57.0092634442644[/C][C]9.6907365557356[/C][/ROW]
[ROW][C]34[/C][C]72[/C][C]69.7509061658537[/C][C]2.24909383414628[/C][/ROW]
[ROW][C]35[/C][C]68.4[/C][C]62.4023214691761[/C][C]5.99767853082388[/C][/ROW]
[ROW][C]36[/C][C]70.8[/C][C]62.7849361757187[/C][C]8.01506382428125[/C][/ROW]
[ROW][C]37[/C][C]56.5[/C][C]62.8080710665365[/C][C]-6.30807106653653[/C][/ROW]
[ROW][C]38[/C][C]62.6[/C][C]61.5566097663962[/C][C]1.04339023360378[/C][/ROW]
[ROW][C]39[/C][C]66.5[/C][C]67.609732387782[/C][C]-1.109732387782[/C][/ROW]
[ROW][C]40[/C][C]69.2[/C][C]65.1764203835147[/C][C]4.02357961648531[/C][/ROW]
[ROW][C]41[/C][C]63.7[/C][C]70.4498065645906[/C][C]-6.74980656459061[/C][/ROW]
[ROW][C]42[/C][C]73.6[/C][C]68.1082400608641[/C][C]5.4917599391359[/C][/ROW]
[ROW][C]43[/C][C]64.1[/C][C]66.3682262171848[/C][C]-2.26822621718482[/C][/ROW]
[ROW][C]44[/C][C]53.8[/C][C]63.7446211471711[/C][C]-9.94462114717109[/C][/ROW]
[ROW][C]45[/C][C]72.2[/C][C]62.8397828382932[/C][C]9.36021716170676[/C][/ROW]
[ROW][C]46[/C][C]80.2[/C][C]74.1643067506645[/C][C]6.03569324933554[/C][/ROW]
[ROW][C]47[/C][C]69.1[/C][C]68.7100625981515[/C][C]0.389937401848471[/C][/ROW]
[ROW][C]48[/C][C]72[/C][C]67.6189818865873[/C][C]4.38101811341269[/C][/ROW]
[ROW][C]49[/C][C]66.3[/C][C]63.9369572762894[/C][C]2.36304272371063[/C][/ROW]
[ROW][C]50[/C][C]72.5[/C][C]66.8065632951811[/C][C]5.69343670481886[/C][/ROW]
[ROW][C]51[/C][C]88.9[/C][C]73.997200447354[/C][C]14.902799552646[/C][/ROW]
[ROW][C]52[/C][C]88.6[/C][C]77.6886684957148[/C][C]10.9113315042852[/C][/ROW]
[ROW][C]53[/C][C]73.7[/C][C]83.3125570577953[/C][C]-9.61255705779531[/C][/ROW]
[ROW][C]54[/C][C]86[/C][C]82.1913386434181[/C][C]3.80866135658194[/C][/ROW]
[ROW][C]55[/C][C]70[/C][C]78.5371266359951[/C][C]-8.53712663599509[/C][/ROW]
[ROW][C]56[/C][C]71.6[/C][C]72.5186297514363[/C][C]-0.918629751436299[/C][/ROW]
[ROW][C]57[/C][C]90.5[/C][C]77.9537490408789[/C][C]12.5462509591211[/C][/ROW]
[ROW][C]58[/C][C]85.7[/C][C]89.7322769614644[/C][C]-4.03227696146436[/C][/ROW]
[ROW][C]59[/C][C]84.8[/C][C]80.0015739667817[/C][C]4.79842603321826[/C][/ROW]
[ROW][C]60[/C][C]81.1[/C][C]81.0502945559355[/C][C]0.0497054440645286[/C][/ROW]
[ROW][C]61[/C][C]70.8[/C][C]75.600798210381[/C][C]-4.80079821038105[/C][/ROW]
[ROW][C]62[/C][C]65.7[/C][C]76.7202949979138[/C][C]-11.0202949979138[/C][/ROW]
[ROW][C]63[/C][C]86.2[/C][C]80.0810531513274[/C][C]6.11894684867265[/C][/ROW]
[ROW][C]64[/C][C]76.1[/C][C]80.2058728687196[/C][C]-4.10587286871963[/C][/ROW]
[ROW][C]65[/C][C]79.8[/C][C]77.3216178684351[/C][C]2.4783821315649[/C][/ROW]
[ROW][C]66[/C][C]85.2[/C][C]82.5046091079059[/C][C]2.69539089209407[/C][/ROW]
[ROW][C]67[/C][C]75.8[/C][C]76.3151559144623[/C][C]-0.515155914462326[/C][/ROW]
[ROW][C]68[/C][C]69.4[/C][C]74.2530290971053[/C][C]-4.85302909710528[/C][/ROW]
[ROW][C]69[/C][C]85[/C][C]80.7742775701451[/C][C]4.22572242985493[/C][/ROW]
[ROW][C]70[/C][C]75[/C][C]86.9225824460789[/C][C]-11.9225824460789[/C][/ROW]
[ROW][C]71[/C][C]77.7[/C][C]76.1726403405261[/C][C]1.52735965947387[/C][/ROW]
[ROW][C]72[/C][C]68.5[/C][C]75.319161069354[/C][C]-6.81916106935401[/C][/ROW]
[ROW][C]73[/C][C]68.4[/C][C]66.7763362463379[/C][C]1.62366375366213[/C][/ROW]
[ROW][C]74[/C][C]65[/C][C]68.8965049616787[/C][C]-3.89650496167867[/C][/ROW]
[ROW][C]75[/C][C]73.2[/C][C]77.5958934350363[/C][C]-4.39589343503627[/C][/ROW]
[ROW][C]76[/C][C]67.9[/C][C]72.4928578903728[/C][C]-4.59285789037277[/C][/ROW]
[ROW][C]77[/C][C]76.5[/C][C]70.6082833846239[/C][C]5.8917166153761[/C][/ROW]
[ROW][C]78[/C][C]85.5[/C][C]76.9425238177725[/C][C]8.55747618222753[/C][/ROW]
[ROW][C]79[/C][C]71.7[/C][C]72.0997722876274[/C][C]-0.399772287627385[/C][/ROW]
[ROW][C]80[/C][C]57.9[/C][C]69.3120333685884[/C][C]-11.4120333685884[/C][/ROW]
[ROW][C]81[/C][C]75.5[/C][C]75.2918152574998[/C][C]0.208184742500194[/C][/ROW]
[ROW][C]82[/C][C]78.2[/C][C]77.2887721829351[/C][C]0.911227817064898[/C][/ROW]
[ROW][C]83[/C][C]75.7[/C][C]73.0903392075747[/C][C]2.60966079242527[/C][/ROW]
[ROW][C]84[/C][C]67.1[/C][C]71.1212420398967[/C][C]-4.02124203989673[/C][/ROW]
[ROW][C]85[/C][C]74.6[/C][C]64.9762951235738[/C][C]9.62370487642615[/C][/ROW]
[ROW][C]86[/C][C]66.2[/C][C]68.7339673158098[/C][C]-2.53396731580985[/C][/ROW]
[ROW][C]87[/C][C]74.9[/C][C]77.7898046420554[/C][C]-2.88980464205535[/C][/ROW]
[ROW][C]88[/C][C]69.5[/C][C]73.1432398348624[/C][C]-3.64323983486241[/C][/ROW]
[ROW][C]89[/C][C]76.1[/C][C]73.4130646104363[/C][C]2.68693538956374[/C][/ROW]
[ROW][C]90[/C][C]82.3[/C][C]79.1712796704578[/C][C]3.12872032954216[/C][/ROW]
[ROW][C]91[/C][C]82.1[/C][C]70.9822392282566[/C][C]11.1177607717434[/C][/ROW]
[ROW][C]92[/C][C]60.5[/C][C]70.0127159518463[/C][C]-9.5127159518463[/C][/ROW]
[ROW][C]93[/C][C]71.2[/C][C]78.6564018120146[/C][C]-7.45640181201458[/C][/ROW]
[ROW][C]94[/C][C]81.4[/C][C]78.2776836412491[/C][C]3.12231635875092[/C][/ROW]
[ROW][C]95[/C][C]74.5[/C][C]75.0991078720517[/C][C]-0.599107872051732[/C][/ROW]
[ROW][C]96[/C][C]61.4[/C][C]70.9169604603392[/C][C]-9.51696046033924[/C][/ROW]
[ROW][C]97[/C][C]83.8[/C][C]65.3806885355037[/C][C]18.4193114644963[/C][/ROW]
[ROW][C]98[/C][C]85.4[/C][C]69.8674409274122[/C][C]15.5325590725878[/C][/ROW]
[ROW][C]99[/C][C]91.6[/C][C]84.7520509071104[/C][C]6.84794909288956[/C][/ROW]
[ROW][C]100[/C][C]91.9[/C][C]83.1483416892735[/C][C]8.7516583107265[/C][/ROW]
[ROW][C]101[/C][C]86.3[/C][C]88.5738438484721[/C][C]-2.27384384847208[/C][/ROW]
[ROW][C]102[/C][C]96.8[/C][C]92.7921107621642[/C][C]4.00788923783584[/C][/ROW]
[ROW][C]103[/C][C]81[/C][C]86.2954135723095[/C][C]-5.29541357230951[/C][/ROW]
[ROW][C]104[/C][C]70.8[/C][C]76.3437757288701[/C][C]-5.54377572887007[/C][/ROW]
[ROW][C]105[/C][C]98.8[/C][C]86.6435115418441[/C][C]12.1564884581559[/C][/ROW]
[ROW][C]106[/C][C]94.5[/C][C]94.521733424863[/C][C]-0.0217334248630152[/C][/ROW]
[ROW][C]107[/C][C]84.5[/C][C]89.6631273469236[/C][C]-5.1631273469236[/C][/ROW]
[ROW][C]108[/C][C]92.8[/C][C]82.4236077588363[/C][C]10.3763922411637[/C][/ROW]
[ROW][C]109[/C][C]81.2[/C][C]88.289751280933[/C][C]-7.089751280933[/C][/ROW]
[ROW][C]110[/C][C]75.7[/C][C]83.9502408431346[/C][C]-8.25024084313462[/C][/ROW]
[ROW][C]111[/C][C]86.7[/C][C]89.5513929125572[/C][C]-2.85139291255717[/C][/ROW]
[ROW][C]112[/C][C]87.5[/C][C]85.1197417797779[/C][C]2.38025822022213[/C][/ROW]
[ROW][C]113[/C][C]87.8[/C][C]86.5276605473964[/C][C]1.27233945260363[/C][/ROW]
[ROW][C]114[/C][C]103.1[/C][C]93.0075709623088[/C][C]10.0924290376912[/C][/ROW]
[ROW][C]115[/C][C]96.4[/C][C]86.8581112187099[/C][C]9.54188878129013[/C][/ROW]
[ROW][C]116[/C][C]77.1[/C][C]81.7011262410953[/C][C]-4.60112624109533[/C][/ROW]
[ROW][C]117[/C][C]106.5[/C][C]95.4225715548652[/C][C]11.0774284451348[/C][/ROW]
[ROW][C]118[/C][C]95.7[/C][C]100.806190905868[/C][C]-5.10619090586761[/C][/ROW]
[ROW][C]119[/C][C]95.3[/C][C]93.3849595658839[/C][C]1.91504043411612[/C][/ROW]
[ROW][C]120[/C][C]86.6[/C][C]91.1877260188125[/C][C]-4.58772601881246[/C][/ROW]
[ROW][C]121[/C][C]89.6[/C][C]89.1010396514782[/C][C]0.498960348521777[/C][/ROW]
[ROW][C]122[/C][C]81.9[/C][C]87.0319754009688[/C][C]-5.13197540096876[/C][/ROW]
[ROW][C]123[/C][C]98.4[/C][C]94.5998881882128[/C][C]3.80011181178723[/C][/ROW]
[ROW][C]124[/C][C]92.9[/C][C]93.2577471613396[/C][C]-0.357747161339546[/C][/ROW]
[ROW][C]125[/C][C]83.9[/C][C]93.577883938331[/C][C]-9.67788393833104[/C][/ROW]
[ROW][C]126[/C][C]121.8[/C][C]98.03886773375[/C][C]23.76113226625[/C][/ROW]
[ROW][C]127[/C][C]103.9[/C][C]96.2498205007378[/C][C]7.65017949926218[/C][/ROW]
[ROW][C]128[/C][C]87.5[/C][C]87.9875326845399[/C][C]-0.487532684539858[/C][/ROW]
[ROW][C]129[/C][C]118.9[/C][C]105.808997791655[/C][C]13.0910022083447[/C][/ROW]
[ROW][C]130[/C][C]109[/C][C]109.001763449549[/C][C]-0.00176344954880392[/C][/ROW]
[ROW][C]131[/C][C]112.2[/C][C]104.48042216695[/C][C]7.71957783305048[/C][/ROW]
[ROW][C]132[/C][C]100.1[/C][C]103.031866429325[/C][C]-2.93186642932477[/C][/ROW]
[ROW][C]133[/C][C]111.3[/C][C]102.380135321381[/C][C]8.91986467861885[/C][/ROW]
[ROW][C]134[/C][C]102.7[/C][C]102.066326225655[/C][C]0.633673774345141[/C][/ROW]
[ROW][C]135[/C][C]122.6[/C][C]113.085959671465[/C][C]9.51404032853478[/C][/ROW]
[ROW][C]136[/C][C]124.8[/C][C]112.875530093978[/C][C]11.9244699060216[/C][/ROW]
[ROW][C]137[/C][C]120.3[/C][C]115.56096624592[/C][C]4.73903375408018[/C][/ROW]
[ROW][C]138[/C][C]118.3[/C][C]130.60672840719[/C][C]-12.3067284071898[/C][/ROW]
[ROW][C]139[/C][C]108.7[/C][C]114.221495213768[/C][C]-5.52149521376779[/C][/ROW]
[ROW][C]140[/C][C]100.7[/C][C]100.232196404325[/C][C]0.467803595675392[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]120.754300093473[/C][C]3.24569990652728[/C][/ROW]
[ROW][C]142[/C][C]103.1[/C][C]118.43293469632[/C][C]-15.33293469632[/C][/ROW]
[ROW][C]143[/C][C]115[/C][C]110.270745051155[/C][C]4.72925494884484[/C][/ROW]
[ROW][C]144[/C][C]112.7[/C][C]105.972968623367[/C][C]6.72703137663277[/C][/ROW]
[ROW][C]145[/C][C]101.7[/C][C]110.556226291574[/C][C]-8.85622629157366[/C][/ROW]
[ROW][C]146[/C][C]111.5[/C][C]102.987810376401[/C][C]8.51218962359947[/C][/ROW]
[ROW][C]147[/C][C]114.4[/C][C]118.139056977295[/C][C]-3.73905697729498[/C][/ROW]
[ROW][C]148[/C][C]112.5[/C][C]114.030984276453[/C][C]-1.53098427645256[/C][/ROW]
[ROW][C]149[/C][C]107.2[/C][C]111.064421319485[/C][C]-3.86442131948488[/C][/ROW]
[ROW][C]150[/C][C]136.7[/C][C]120.305491157402[/C][C]16.3945088425977[/C][/ROW]
[ROW][C]151[/C][C]107.8[/C][C]114.473396935685[/C][C]-6.67339693568465[/C][/ROW]
[ROW][C]152[/C][C]94.6[/C][C]101.162272380557[/C][C]-6.56227238055749[/C][/ROW]
[ROW][C]153[/C][C]110.7[/C][C]119.880676166247[/C][C]-9.18067616624654[/C][/ROW]
[ROW][C]154[/C][C]126.6[/C][C]110.238282712195[/C][C]16.3617172878051[/C][/ROW]
[ROW][C]155[/C][C]127.9[/C][C]115.941413291734[/C][C]11.9585867082664[/C][/ROW]
[ROW][C]156[/C][C]109.2[/C][C]114.352580555652[/C][C]-5.15258055565215[/C][/ROW]
[ROW][C]157[/C][C]87.1[/C][C]112.32013564652[/C][C]-25.2201356465201[/C][/ROW]
[ROW][C]158[/C][C]90.8[/C][C]102.471480677727[/C][C]-11.6714806777266[/C][/ROW]
[ROW][C]159[/C][C]94.5[/C][C]108.885382212708[/C][C]-14.3853822127079[/C][/ROW]
[ROW][C]160[/C][C]103.3[/C][C]101.6941142807[/C][C]1.60588571929955[/C][/ROW]
[ROW][C]161[/C][C]103.2[/C][C]99.3399025894467[/C][C]3.86009741055335[/C][/ROW]
[ROW][C]162[/C][C]105.4[/C][C]114.664398008256[/C][C]-9.2643980082557[/C][/ROW]
[ROW][C]163[/C][C]103.9[/C][C]96.406354061435[/C][C]7.49364593856497[/C][/ROW]
[ROW][C]164[/C][C]79.8[/C][C]87.7345657363222[/C][C]-7.93456573632221[/C][/ROW]
[ROW][C]165[/C][C]105.6[/C][C]105.544771611226[/C][C]0.0552283887742107[/C][/ROW]
[ROW][C]166[/C][C]113[/C][C]103.408269415509[/C][C]9.59173058449133[/C][/ROW]
[ROW][C]167[/C][C]87.7[/C][C]106.129029783859[/C][C]-18.4290297838588[/C][/ROW]
[ROW][C]168[/C][C]110[/C][C]91.6203179656971[/C][C]18.3796820343029[/C][/ROW]
[ROW][C]169[/C][C]90.3[/C][C]93.7307604852927[/C][C]-3.43076048529271[/C][/ROW]
[ROW][C]170[/C][C]108.9[/C][C]93.3713366726491[/C][C]15.5286633273509[/C][/ROW]
[ROW][C]171[/C][C]105.1[/C][C]108.177530959568[/C][C]-3.07753095956785[/C][/ROW]
[ROW][C]172[/C][C]113[/C][C]107.487306410373[/C][C]5.51269358962701[/C][/ROW]
[ROW][C]173[/C][C]100.4[/C][C]106.803703281265[/C][C]-6.40370328126527[/C][/ROW]
[ROW][C]174[/C][C]110.1[/C][C]116.472015163146[/C][C]-6.37201516314613[/C][/ROW]
[ROW][C]175[/C][C]114.7[/C][C]102.105695275386[/C][C]12.5943047246137[/C][/ROW]
[ROW][C]176[/C][C]88.6[/C][C]92.3826444886843[/C][C]-3.7826444886843[/C][/ROW]
[ROW][C]177[/C][C]117.2[/C][C]112.95255030866[/C][C]4.24744969134038[/C][/ROW]
[ROW][C]178[/C][C]127.7[/C][C]113.861029086393[/C][C]13.8389709136066[/C][/ROW]
[ROW][C]179[/C][C]107.8[/C][C]113.036604992132[/C][C]-5.23660499213196[/C][/ROW]
[ROW][C]180[/C][C]102.8[/C][C]109.306261607273[/C][C]-6.50626160727255[/C][/ROW]
[ROW][C]181[/C][C]100.2[/C][C]99.4640604016633[/C][C]0.735939598336699[/C][/ROW]
[ROW][C]182[/C][C]108.4[/C][C]103.799234839419[/C][C]4.60076516058055[/C][/ROW]
[ROW][C]183[/C][C]114.2[/C][C]111.768196291766[/C][C]2.43180370823391[/C][/ROW]
[ROW][C]184[/C][C]94.4[/C][C]114.385959958022[/C][C]-19.9859599580221[/C][/ROW]
[ROW][C]185[/C][C]92.2[/C][C]103.290744919412[/C][C]-11.0907449194122[/C][/ROW]
[ROW][C]186[/C][C]115.3[/C][C]111.43621726121[/C][C]3.86378273879012[/C][/ROW]
[ROW][C]187[/C][C]102[/C][C]103.744803839519[/C][C]-1.74480383951902[/C][/ROW]
[ROW][C]188[/C][C]86.3[/C][C]86.4643759446285[/C][C]-0.164375944628503[/C][/ROW]
[ROW][C]189[/C][C]112[/C][C]109.627051592495[/C][C]2.37294840750505[/C][/ROW]
[ROW][C]190[/C][C]112.5[/C][C]111.611871484204[/C][C]0.88812851579614[/C][/ROW]
[ROW][C]191[/C][C]109.5[/C][C]103.2079585578[/C][C]6.29204144219962[/C][/ROW]
[ROW][C]192[/C][C]105.9[/C][C]103.013641805598[/C][C]2.88635819440222[/C][/ROW]
[ROW][C]193[/C][C]115.3[/C][C]97.5085624786648[/C][C]17.7914375213352[/C][/ROW]
[ROW][C]194[/C][C]126.2[/C][C]108.085434627926[/C][C]18.1145653720741[/C][/ROW]
[ROW][C]195[/C][C]112.2[/C][C]120.079538506992[/C][C]-7.87953850699222[/C][/ROW]
[ROW][C]196[/C][C]112.5[/C][C]115.39048824312[/C][C]-2.89048824312019[/C][/ROW]
[ROW][C]197[/C][C]106.9[/C][C]111.4350906179[/C][C]-4.53509061790025[/C][/ROW]
[ROW][C]198[/C][C]90.6[/C][C]124.349532747692[/C][C]-33.7495327476922[/C][/ROW]
[ROW][C]199[/C][C]75.6[/C][C]103.405835380263[/C][C]-27.8058353802628[/C][/ROW]
[ROW][C]200[/C][C]78.8[/C][C]77.9051403253234[/C][C]0.89485967467661[/C][/ROW]
[ROW][C]201[/C][C]101.8[/C][C]101.859661988264[/C][C]-0.0596619882635281[/C][/ROW]
[ROW][C]202[/C][C]93.9[/C][C]102.789972471621[/C][C]-8.88997247162077[/C][/ROW]
[ROW][C]203[/C][C]100[/C][C]92.1482869423408[/C][C]7.85171305765923[/C][/ROW]
[ROW][C]204[/C][C]89.2[/C][C]91.8633478722055[/C][C]-2.66334787220549[/C][/ROW]
[ROW][C]205[/C][C]97.7[/C][C]87.1710556615358[/C][C]10.5289443384642[/C][/ROW]
[ROW][C]206[/C][C]121.1[/C][C]95.4365277128196[/C][C]25.6634722871804[/C][/ROW]
[ROW][C]207[/C][C]108.8[/C][C]105.318685129588[/C][C]3.48131487041159[/C][/ROW]
[ROW][C]208[/C][C]92.9[/C][C]105.212149116718[/C][C]-12.3121491167175[/C][/ROW]
[ROW][C]209[/C][C]113.6[/C][C]97.8950430719919[/C][C]15.7049569280081[/C][/ROW]
[ROW][C]210[/C][C]112.6[/C][C]112.269429889528[/C][C]0.330570110471584[/C][/ROW]
[ROW][C]211[/C][C]98.8[/C][C]103.484819819926[/C][C]-4.68481981992629[/C][/ROW]
[ROW][C]212[/C][C]78[/C][C]90.5735592438583[/C][C]-12.5735592438583[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310522&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310522&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
1353.152.64345619658120.456543803418789
1454.453.98165337317940.418346626820586
1559.258.88239468921030.317605310789688
1657.857.72111822502120.0788817749788109
1761.561.7944955077578-0.294495507757759
1860.160.1627834587615-0.0627834587614515
1960.158.48996459414241.61003540585762
2058.457.95430817330430.445691826695672
2156.857.3639665881148-0.563966588114837
2263.867.2735483705977-3.4735483705977
2353.958.2051670511975-4.30516705119752
2463.152.628100077431910.4718999225681
2555.755.20840336972260.491596630277385
2654.956.5513103560122-1.65131035601217
2764.660.75942428108453.8405757189155
2860.260.7049636379415-0.504963637941508
2963.964.522257777539-0.622257777539012
3069.962.82443365863667.07556634136345
3158.563.7737143636056-5.27371436360562
325260.7884468119162-8.78844681191622
3366.757.00926344426449.6907365557356
347269.75090616585372.24909383414628
3568.462.40232146917615.99767853082388
3670.862.78493617571878.01506382428125
3756.562.8080710665365-6.30807106653653
3862.661.55660976639621.04339023360378
3966.567.609732387782-1.109732387782
4069.265.17642038351474.02357961648531
4163.770.4498065645906-6.74980656459061
4273.668.10824006086415.4917599391359
4364.166.3682262171848-2.26822621718482
4453.863.7446211471711-9.94462114717109
4572.262.83978283829329.36021716170676
4680.274.16430675066456.03569324933554
4769.168.71006259815150.389937401848471
487267.61898188658734.38101811341269
4966.363.93695727628942.36304272371063
5072.566.80656329518115.69343670481886
5188.973.99720044735414.902799552646
5288.677.688668495714810.9113315042852
5373.783.3125570577953-9.61255705779531
548682.19133864341813.80866135658194
557078.5371266359951-8.53712663599509
5671.672.5186297514363-0.918629751436299
5790.577.953749040878912.5462509591211
5885.789.7322769614644-4.03227696146436
5984.880.00157396678174.79842603321826
6081.181.05029455593550.0497054440645286
6170.875.600798210381-4.80079821038105
6265.776.7202949979138-11.0202949979138
6386.280.08105315132746.11894684867265
6476.180.2058728687196-4.10587286871963
6579.877.32161786843512.4783821315649
6685.282.50460910790592.69539089209407
6775.876.3151559144623-0.515155914462326
6869.474.2530290971053-4.85302909710528
698580.77427757014514.22572242985493
707586.9225824460789-11.9225824460789
7177.776.17264034052611.52735965947387
7268.575.319161069354-6.81916106935401
7368.466.77633624633791.62366375366213
746568.8965049616787-3.89650496167867
7573.277.5958934350363-4.39589343503627
7667.972.4928578903728-4.59285789037277
7776.570.60828338462395.8917166153761
7885.576.94252381777258.55747618222753
7971.772.0997722876274-0.399772287627385
8057.969.3120333685884-11.4120333685884
8175.575.29181525749980.208184742500194
8278.277.28877218293510.911227817064898
8375.773.09033920757472.60966079242527
8467.171.1212420398967-4.02124203989673
8574.664.97629512357389.62370487642615
8666.268.7339673158098-2.53396731580985
8774.977.7898046420554-2.88980464205535
8869.573.1432398348624-3.64323983486241
8976.173.41306461043632.68693538956374
9082.379.17127967045783.12872032954216
9182.170.982239228256611.1177607717434
9260.570.0127159518463-9.5127159518463
9371.278.6564018120146-7.45640181201458
9481.478.27768364124913.12231635875092
9574.575.0991078720517-0.599107872051732
9661.470.9169604603392-9.51696046033924
9783.865.380688535503718.4193114644963
9885.469.867440927412215.5325590725878
9991.684.75205090711046.84794909288956
10091.983.14834168927358.7516583107265
10186.388.5738438484721-2.27384384847208
10296.892.79211076216424.00788923783584
1038186.2954135723095-5.29541357230951
10470.876.3437757288701-5.54377572887007
10598.886.643511541844112.1564884581559
10694.594.521733424863-0.0217334248630152
10784.589.6631273469236-5.1631273469236
10892.882.423607758836310.3763922411637
10981.288.289751280933-7.089751280933
11075.783.9502408431346-8.25024084313462
11186.789.5513929125572-2.85139291255717
11287.585.11974177977792.38025822022213
11387.886.52766054739641.27233945260363
114103.193.007570962308810.0924290376912
11596.486.85811121870999.54188878129013
11677.181.7011262410953-4.60112624109533
117106.595.422571554865211.0774284451348
11895.7100.806190905868-5.10619090586761
11995.393.38495956588391.91504043411612
12086.691.1877260188125-4.58772601881246
12189.689.10103965147820.498960348521777
12281.987.0319754009688-5.13197540096876
12398.494.59988818821283.80011181178723
12492.993.2577471613396-0.357747161339546
12583.993.577883938331-9.67788393833104
126121.898.0388677337523.76113226625
127103.996.24982050073787.65017949926218
12887.587.9875326845399-0.487532684539858
129118.9105.80899779165513.0910022083447
130109109.001763449549-0.00176344954880392
131112.2104.480422166957.71957783305048
132100.1103.031866429325-2.93186642932477
133111.3102.3801353213818.91986467861885
134102.7102.0663262256550.633673774345141
135122.6113.0859596714659.51404032853478
136124.8112.87553009397811.9244699060216
137120.3115.560966245924.73903375408018
138118.3130.60672840719-12.3067284071898
139108.7114.221495213768-5.52149521376779
140100.7100.2321964043250.467803595675392
141124120.7543000934733.24569990652728
142103.1118.43293469632-15.33293469632
143115110.2707450511554.72925494884484
144112.7105.9729686233676.72703137663277
145101.7110.556226291574-8.85622629157366
146111.5102.9878103764018.51218962359947
147114.4118.139056977295-3.73905697729498
148112.5114.030984276453-1.53098427645256
149107.2111.064421319485-3.86442131948488
150136.7120.30549115740216.3945088425977
151107.8114.473396935685-6.67339693568465
15294.6101.162272380557-6.56227238055749
153110.7119.880676166247-9.18067616624654
154126.6110.23828271219516.3617172878051
155127.9115.94141329173411.9585867082664
156109.2114.352580555652-5.15258055565215
15787.1112.32013564652-25.2201356465201
15890.8102.471480677727-11.6714806777266
15994.5108.885382212708-14.3853822127079
160103.3101.69411428071.60588571929955
161103.299.33990258944673.86009741055335
162105.4114.664398008256-9.2643980082557
163103.996.4063540614357.49364593856497
16479.887.7345657363222-7.93456573632221
165105.6105.5447716112260.0552283887742107
166113103.4082694155099.59173058449133
16787.7106.129029783859-18.4290297838588
16811091.620317965697118.3796820343029
16990.393.7307604852927-3.43076048529271
170108.993.371336672649115.5286633273509
171105.1108.177530959568-3.07753095956785
172113107.4873064103735.51269358962701
173100.4106.803703281265-6.40370328126527
174110.1116.472015163146-6.37201516314613
175114.7102.10569527538612.5943047246137
17688.692.3826444886843-3.7826444886843
177117.2112.952550308664.24744969134038
178127.7113.86102908639313.8389709136066
179107.8113.036604992132-5.23660499213196
180102.8109.306261607273-6.50626160727255
181100.299.46406040166330.735939598336699
182108.4103.7992348394194.60076516058055
183114.2111.7681962917662.43180370823391
18494.4114.385959958022-19.9859599580221
18592.2103.290744919412-11.0907449194122
186115.3111.436217261213.86378273879012
187102103.744803839519-1.74480383951902
18886.386.4643759446285-0.164375944628503
189112109.6270515924952.37294840750505
190112.5111.6118714842040.88812851579614
191109.5103.20795855786.29204144219962
192105.9103.0136418055982.88635819440222
193115.397.508562478664817.7914375213352
194126.2108.08543462792618.1145653720741
195112.2120.079538506992-7.87953850699222
196112.5115.39048824312-2.89048824312019
197106.9111.4350906179-4.53509061790025
19890.6124.349532747692-33.7495327476922
19975.6103.405835380263-27.8058353802628
20078.877.90514032532340.89485967467661
201101.8101.859661988264-0.0596619882635281
20293.9102.789972471621-8.88997247162077
20310092.14828694234087.85171305765923
20489.291.8633478722055-2.66334787220549
20597.787.171055661535810.5289443384642
206121.195.436527712819625.6634722871804
207108.8105.3186851295883.48131487041159
20892.9105.212149116718-12.3121491167175
209113.697.895043071991915.7049569280081
210112.6112.2694298895280.330570110471584
21198.8103.484819819926-4.68481981992629
2127890.5735592438583-12.5735592438583







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213109.96816796224192.9854495892944126.950886335189
214109.36426271297491.5014044384273127.22712098752
215104.56719951392785.865576906831123.268822121022
21699.871767107996680.3674170665334119.37611714946
21798.369126947081478.0938056686991118.644448225464
218105.86405854645684.8460273507581126.882089742153
219103.47462269576681.7392455942519125.20999979728
22099.454031012274977.0242383215987121.883823702951
221101.08137986787577.978034167557124.184725568193
222107.62939331817583.8715827088178131.387203927533
22397.854541036097473.4598172755831122.249264796612
22485.08296687294760.0675410370054110.098392708889

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 109.968167962241 & 92.9854495892944 & 126.950886335189 \tabularnewline
214 & 109.364262712974 & 91.5014044384273 & 127.22712098752 \tabularnewline
215 & 104.567199513927 & 85.865576906831 & 123.268822121022 \tabularnewline
216 & 99.8717671079966 & 80.3674170665334 & 119.37611714946 \tabularnewline
217 & 98.3691269470814 & 78.0938056686991 & 118.644448225464 \tabularnewline
218 & 105.864058546456 & 84.8460273507581 & 126.882089742153 \tabularnewline
219 & 103.474622695766 & 81.7392455942519 & 125.20999979728 \tabularnewline
220 & 99.4540310122749 & 77.0242383215987 & 121.883823702951 \tabularnewline
221 & 101.081379867875 & 77.978034167557 & 124.184725568193 \tabularnewline
222 & 107.629393318175 & 83.8715827088178 & 131.387203927533 \tabularnewline
223 & 97.8545410360974 & 73.4598172755831 & 122.249264796612 \tabularnewline
224 & 85.082966872947 & 60.0675410370054 & 110.098392708889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310522&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]109.968167962241[/C][C]92.9854495892944[/C][C]126.950886335189[/C][/ROW]
[ROW][C]214[/C][C]109.364262712974[/C][C]91.5014044384273[/C][C]127.22712098752[/C][/ROW]
[ROW][C]215[/C][C]104.567199513927[/C][C]85.865576906831[/C][C]123.268822121022[/C][/ROW]
[ROW][C]216[/C][C]99.8717671079966[/C][C]80.3674170665334[/C][C]119.37611714946[/C][/ROW]
[ROW][C]217[/C][C]98.3691269470814[/C][C]78.0938056686991[/C][C]118.644448225464[/C][/ROW]
[ROW][C]218[/C][C]105.864058546456[/C][C]84.8460273507581[/C][C]126.882089742153[/C][/ROW]
[ROW][C]219[/C][C]103.474622695766[/C][C]81.7392455942519[/C][C]125.20999979728[/C][/ROW]
[ROW][C]220[/C][C]99.4540310122749[/C][C]77.0242383215987[/C][C]121.883823702951[/C][/ROW]
[ROW][C]221[/C][C]101.081379867875[/C][C]77.978034167557[/C][C]124.184725568193[/C][/ROW]
[ROW][C]222[/C][C]107.629393318175[/C][C]83.8715827088178[/C][C]131.387203927533[/C][/ROW]
[ROW][C]223[/C][C]97.8545410360974[/C][C]73.4598172755831[/C][C]122.249264796612[/C][/ROW]
[ROW][C]224[/C][C]85.082966872947[/C][C]60.0675410370054[/C][C]110.098392708889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310522&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310522&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
213109.96816796224192.9854495892944126.950886335189
214109.36426271297491.5014044384273127.22712098752
215104.56719951392785.865576906831123.268822121022
21699.871767107996680.3674170665334119.37611714946
21798.369126947081478.0938056686991118.644448225464
218105.86405854645684.8460273507581126.882089742153
219103.47462269576681.7392455942519125.20999979728
22099.454031012274977.0242383215987121.883823702951
221101.08137986787577.978034167557124.184725568193
222107.62939331817583.8715827088178131.387203927533
22397.854541036097473.4598172755831122.249264796612
22485.08296687294760.0675410370054110.098392708889



Parameters (Session):
par1 = additive ; par2 = 12 ;
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 <- 'Double'
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')