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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 computationThu, 14 Dec 2017 17:38:54 +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/14/t15132698735jvap7mczp1q46j.htm/, Retrieved Tue, 14 May 2024 04:21:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309556, Retrieved Tue, 14 May 2024 04:21:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2017-12-14 16:38:54] [c34712453b62a314277c4dd71143a000] [Current]
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Dataseries X:
120.7
134.1
143.6
115.1
135.1
123.6
110.7
104.3
143.7
149.7
143.3
115.3
136.2
137.4
147.6
123.7
131.6
132.7
123
108.2
140.9
149.2
134.5
103.2
136.2
135.6
139.7
131
124.4
123.6
125.1
106.2
144.4
153.7
131.5
105.5
136.3
133.4
129.8
129.1
113
117.1
115.4
96.5
141
141.3
121
106
121.9
122.4
137.4
118.9
106.7
126.5
110.8
99.3
138.7
128.9
121.9
106
113.1
124.2
129.2
116.5
105.7
122
105.1
100.8
131.8
119.9
127.1
107.1
115.8
122.9
137.5
108.9
114.9
129.7
111.8
103.4
140.3
140.7
136.1
106.3
127.7
136.4
145.1
116.5
117.6
129
117.4
107.2
130.9
145.1
127.8
96.6
126
130.1
124.5
137.4
105.6
113.3
108.4
83.5
116.2
115.6
95.6
83.5
95.3
95.8
100.4
90.9
80
93.8
92.3
74.3
101.4
103.7
92.4
83.4
91.6
101.2
109.2
100.3
91
110.9
96.3
80.4
114.5
109.9
104.1
90.7
94.6
100.4
115.9
94.4
102.5
97.3
90
81.1
107.3
100.5
95.4
81.1
92.2
98.4
98.6
81.4
85.5
90.4
83.7
73.3
89.8
101.6
87.5
65.3
87.1
89.9
91.5
84.7
84.1
86.7
89.6
65.7
92.9
97.7
84.4
68.1
95
96.3
94.7
89.7
81.3
89.3
94.2
68.7
105.7
102
84.3
74.9
92.9
100.4
99.4
94.6
84
102.2
91.4
79.8
101
97.5
87.8
77.1
89.6
100.9
97.8
90.5
84.2
96.8
82.9
75.6
91.9
85.4
90.4
74
93.1
94.9
102.9
80.7
91.7
95.5
84.8
74.4




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=309556&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=309556&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309556&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
alpha0.31464682407761
beta0.0220398605602825
gamma0.375082287311718

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.31464682407761 \tabularnewline
beta & 0.0220398605602825 \tabularnewline
gamma & 0.375082287311718 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309556&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]0.31464682407761[/C][/ROW]
[ROW][C]beta[/C][C]0.0220398605602825[/C][/ROW]
[ROW][C]gamma[/C][C]0.375082287311718[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309556&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309556&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
alpha0.31464682407761
beta0.0220398605602825
gamma0.375082287311718







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13136.2133.6668687302152.53313126978529
14137.4135.2649551091152.13504489088484
15147.6146.3234077691041.27659223089572
16123.7123.3919263285680.308073671432084
17131.6132.080594812569-0.480594812569166
18132.7134.236360352219-1.53636035221902
19123113.8110696037329.18893039626806
20108.2109.597742864992-1.39774286499201
21140.9150.449198498385-9.54919849838518
22149.2153.337735138805-4.13773513880491
23134.5145.610888280514-11.1108882805139
24103.2114.331028485203-11.1310284852027
25136.2130.793613269325.40638673068008
26135.6133.0437368034482.55626319655155
27139.7143.676983082276-3.97698308227598
28131119.44174156024811.5582584397522
29124.4131.355322544074-6.95532254407371
30123.6131.040089998055-7.44008999805462
31125.1111.9220003634113.1779996365898
32106.2106.386851877612-0.186851877612455
33144.4144.45749651175-0.0574965117503439
34153.7151.6130174324032.08698256759664
35131.5143.877650535945-12.3776505359445
36105.5111.925068256011-6.42506825601069
37136.3134.5309124675171.7690875324833
38133.4134.868855854114-1.46885585411363
39129.8142.48215995675-12.6821599567504
40129.1119.706014136339.39398586366998
41113125.938235443247-12.9382354432473
42117.1123.34752465183-6.2475246518301
43115.4110.1382878002325.26171219976767
4496.599.3503179091891-2.85031790918912
45141133.5556691399587.44433086004236
46141.3142.95220308741-1.6522030874095
47121130.845819013901-9.84581901390075
48106102.7813220068393.21867799316134
49121.9129.294152051931-7.3941520519306
50122.4125.792451822445-3.39245182244461
51137.4129.2599882687258.14001173127542
52118.9118.915850270573-0.0158502705725425
53106.7116.334464277723-9.63446427772344
54126.5116.22212885618710.2778711438128
55110.8111.171586748666-0.37158674866572
5699.396.7522770258112.54772297418904
57138.7135.2070517602773.49294823972284
58128.9140.942326242956-12.0423262429559
59121.9123.780868764999-1.88086876499925
60106101.8929758292774.10702417072268
61113.1125.58147880777-12.4814788077696
62124.2121.4383369836892.76166301631099
63129.2129.648573642873-0.448573642873328
64116.5114.9237879359711.57621206402924
65105.7110.393038157051-4.69303815705061
66122116.7138019290125.28619807098843
67105.1107.63002254759-2.53002254758995
68100.893.71390004040937.08609995959068
69131.8132.910335937905-1.11033593790535
70119.9133.019556828131-13.119556828131
71127.1118.4589657223218.64103427767924
72107.1101.6450887170115.45491128298937
73115.8121.238488390078-5.43848839007786
74122.9123.308860174788-0.408860174787918
75137.5129.7334429258037.76655707419735
76108.9117.887945168211-8.98794516821144
77114.9108.4514656984246.44853430157634
78129.7121.1808590433828.51914095661797
79111.8110.7611385521081.03886144789222
80103.4100.0181263704863.38187362951433
81140.3137.2392791181533.06072088184675
82140.7135.4852631557715.21473684422881
83136.1132.0527736712014.04722632879898
84106.3111.502306439426-5.20230643942583
85127.7125.7833391884891.91666081151098
86136.4132.0052724823234.39472751767661
87145.1142.9682832814132.13171671858652
88116.5123.838381227449-7.33838122744865
89117.6118.829803499559-1.22980349955921
90129130.389974146099-1.38997414609878
91117.4114.5168590222732.88314097772658
92107.2104.6238587029332.57614129706661
93130.9142.807142567576-11.9071425675762
94145.1136.8502783416078.24972165839293
95127.8134.015065984656-6.21506598465579
9696.6108.190257638051-11.5902576380513
97126121.5126733939224.4873266060776
98130.1128.8618353298311.23816467016874
99124.5137.754096607989-13.2540966079889
100137.4112.74668296061124.6533170393894
101105.6119.37130118014-13.7713011801405
102113.3126.545669703337-13.2456697033365
103108.4108.685980466456-0.285980466455882
10483.598.2690985682457-14.7690985682457
105116.2122.892821468369-6.69282146836936
106115.6123.058878201803-7.45887820180332
10795.6112.487279494589-16.8872794945888
10883.585.9567419486402-2.45674194864016
10995.3102.460226749226-7.16022674922593
11095.8103.819581503884-8.01958150388414
111100.4104.357583668389-3.95758366838858
11290.993.5040649236832-2.60406492368315
1138083.9468335573295-3.94683355732948
11493.890.64262443239243.15737556760757
11592.383.17944252868519.12055747131485
11674.374.4028150576082-0.102815057608225
117101.499.92973128980471.47026871019533
118103.7101.7871818717681.91281812823209
11992.492.7879724067591-0.387972406759062
12083.476.77811990066816.62188009933192
12191.693.769067462806-2.16906746280603
122101.296.24413577994684.95586422005321
123109.2101.9470809805467.25291901945374
124100.394.95940172055655.34059827944353
1259187.3221328548183.67786714518203
126110.999.394207078030811.5057929219692
12796.395.60614393857950.693856061420547
12880.480.8923420496878-0.492342049687764
129114.5109.2871608155615.21283918443879
130109.9112.981155024454-3.08115502445439
131104.1101.2347446496162.86525535038444
13290.786.84313865651943.85686134348057
13394.6102.18944992212-7.58944992211985
134100.4105.447284931055-5.04728493105537
135115.9108.9897677811236.91023221887681
13694.4101.097867230106-6.69786723010645
137102.589.215023625801513.2849763741985
13897.3106.965782231183-9.66578223118285
1399093.9421257431157-3.94212574311571
14081.177.96607749093363.13392250906642
141107.3108.338711657749-1.03871165774869
142100.5107.890332433921-7.39033243392096
14395.496.7130761092517-1.31307610925167
14481.182.1256045981721-1.02560459817209
14592.291.90563154979430.294368450205738
14698.497.81671471725370.583285282746289
14798.6105.758027513236-7.15802751323621
14881.490.9052091279294-9.50520912792938
14985.583.42839386020752.07160613979252
15090.490.4280010613272-0.0280010613272026
15183.782.64680040093011.05319959906991
15273.371.15944772526582.14055227473418
15389.897.1619928426948-7.3619928426948
154101.693.04704542118798.55295457881209
15587.588.9105452581544-1.41054525815437
15665.375.3846404466016-10.0846404466016
15787.181.28400935483595.81599064516412
15889.988.29255320080071.60744679919931
15991.593.8397823669269-2.3397823669269
16084.780.84077129861193.85922870138806
16184.180.60894212918283.49105787081716
16286.787.3373851937884-0.637385193788347
16389.679.92793585386469.67206414613541
16465.771.5403483780052-5.84034837800523
16592.991.7099076634131.19009233658703
16697.794.37808866318273.32191133681732
16784.486.3102591054611-1.91025910546107
16868.170.7295335918396-2.6295335918396
1699583.184767541733311.8152324582667
17096.391.26782863576935.03217136423071
17194.797.2357467852339-2.53574678523388
17289.785.47570905018824.22429094981176
17381.385.3576027134805-4.05760271348049
17489.388.85054041933310.449459580666897
17594.284.35691261873479.84308738126532
17668.771.733691243428-3.03369124342802
177105.795.658040982887310.0419590171127
178102102.093054705248-0.093054705248278
17984.391.167806828836-6.86780682883602
18074.973.28820788481741.61179211518261
18192.991.97984245742980.920157542570166
182100.495.0508064509945.34919354900602
18399.499.35343321108770.0465667889123011
18494.689.9080199369174.69198006308295
1858487.7733059255186-3.77330592551856
186102.292.90410340598999.29589659401013
18791.493.5457877936916-2.14578779369155
18879.873.30057084562976.4994291543703
189101105.871405346056-4.87140534605639
19097.5105.129198251203-7.62919825120292
19187.890.0028773996231-2.20287739962313
19277.175.51025729695271.58974270304726
19389.694.5316089081322-4.9316089081322
194100.996.93190556887033.96809443112973
19597.899.4632603980561-1.66326039805614
19690.590.7031308728367-0.203130872836653
19784.284.9387194977286-0.738719497728638
19896.894.20787607695322.59212392304683
19982.989.9180757618524-7.01807576185244
20075.671.1182239173314.48177608266899
20191.998.3970790157944-6.49707901579437
20285.496.2639711246137-10.8639711246137
20390.482.26790587851668.13209412148343
2047472.51433484793051.48566515206949
20593.188.9856626893424.11433731065804
20694.996.4112965300683-1.51129653006826
207102.995.73604087652167.16395912347839
20880.790.1941234902924-9.49412349029242
20991.781.544686461577710.1553135384223
21095.595.16252734293750.337472657062534
21184.887.7053889960191-2.90538899601907
21274.473.03789846822441.36210153177556

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 136.2 & 133.666868730215 & 2.53313126978529 \tabularnewline
14 & 137.4 & 135.264955109115 & 2.13504489088484 \tabularnewline
15 & 147.6 & 146.323407769104 & 1.27659223089572 \tabularnewline
16 & 123.7 & 123.391926328568 & 0.308073671432084 \tabularnewline
17 & 131.6 & 132.080594812569 & -0.480594812569166 \tabularnewline
18 & 132.7 & 134.236360352219 & -1.53636035221902 \tabularnewline
19 & 123 & 113.811069603732 & 9.18893039626806 \tabularnewline
20 & 108.2 & 109.597742864992 & -1.39774286499201 \tabularnewline
21 & 140.9 & 150.449198498385 & -9.54919849838518 \tabularnewline
22 & 149.2 & 153.337735138805 & -4.13773513880491 \tabularnewline
23 & 134.5 & 145.610888280514 & -11.1108882805139 \tabularnewline
24 & 103.2 & 114.331028485203 & -11.1310284852027 \tabularnewline
25 & 136.2 & 130.79361326932 & 5.40638673068008 \tabularnewline
26 & 135.6 & 133.043736803448 & 2.55626319655155 \tabularnewline
27 & 139.7 & 143.676983082276 & -3.97698308227598 \tabularnewline
28 & 131 & 119.441741560248 & 11.5582584397522 \tabularnewline
29 & 124.4 & 131.355322544074 & -6.95532254407371 \tabularnewline
30 & 123.6 & 131.040089998055 & -7.44008999805462 \tabularnewline
31 & 125.1 & 111.92200036341 & 13.1779996365898 \tabularnewline
32 & 106.2 & 106.386851877612 & -0.186851877612455 \tabularnewline
33 & 144.4 & 144.45749651175 & -0.0574965117503439 \tabularnewline
34 & 153.7 & 151.613017432403 & 2.08698256759664 \tabularnewline
35 & 131.5 & 143.877650535945 & -12.3776505359445 \tabularnewline
36 & 105.5 & 111.925068256011 & -6.42506825601069 \tabularnewline
37 & 136.3 & 134.530912467517 & 1.7690875324833 \tabularnewline
38 & 133.4 & 134.868855854114 & -1.46885585411363 \tabularnewline
39 & 129.8 & 142.48215995675 & -12.6821599567504 \tabularnewline
40 & 129.1 & 119.70601413633 & 9.39398586366998 \tabularnewline
41 & 113 & 125.938235443247 & -12.9382354432473 \tabularnewline
42 & 117.1 & 123.34752465183 & -6.2475246518301 \tabularnewline
43 & 115.4 & 110.138287800232 & 5.26171219976767 \tabularnewline
44 & 96.5 & 99.3503179091891 & -2.85031790918912 \tabularnewline
45 & 141 & 133.555669139958 & 7.44433086004236 \tabularnewline
46 & 141.3 & 142.95220308741 & -1.6522030874095 \tabularnewline
47 & 121 & 130.845819013901 & -9.84581901390075 \tabularnewline
48 & 106 & 102.781322006839 & 3.21867799316134 \tabularnewline
49 & 121.9 & 129.294152051931 & -7.3941520519306 \tabularnewline
50 & 122.4 & 125.792451822445 & -3.39245182244461 \tabularnewline
51 & 137.4 & 129.259988268725 & 8.14001173127542 \tabularnewline
52 & 118.9 & 118.915850270573 & -0.0158502705725425 \tabularnewline
53 & 106.7 & 116.334464277723 & -9.63446427772344 \tabularnewline
54 & 126.5 & 116.222128856187 & 10.2778711438128 \tabularnewline
55 & 110.8 & 111.171586748666 & -0.37158674866572 \tabularnewline
56 & 99.3 & 96.752277025811 & 2.54772297418904 \tabularnewline
57 & 138.7 & 135.207051760277 & 3.49294823972284 \tabularnewline
58 & 128.9 & 140.942326242956 & -12.0423262429559 \tabularnewline
59 & 121.9 & 123.780868764999 & -1.88086876499925 \tabularnewline
60 & 106 & 101.892975829277 & 4.10702417072268 \tabularnewline
61 & 113.1 & 125.58147880777 & -12.4814788077696 \tabularnewline
62 & 124.2 & 121.438336983689 & 2.76166301631099 \tabularnewline
63 & 129.2 & 129.648573642873 & -0.448573642873328 \tabularnewline
64 & 116.5 & 114.923787935971 & 1.57621206402924 \tabularnewline
65 & 105.7 & 110.393038157051 & -4.69303815705061 \tabularnewline
66 & 122 & 116.713801929012 & 5.28619807098843 \tabularnewline
67 & 105.1 & 107.63002254759 & -2.53002254758995 \tabularnewline
68 & 100.8 & 93.7139000404093 & 7.08609995959068 \tabularnewline
69 & 131.8 & 132.910335937905 & -1.11033593790535 \tabularnewline
70 & 119.9 & 133.019556828131 & -13.119556828131 \tabularnewline
71 & 127.1 & 118.458965722321 & 8.64103427767924 \tabularnewline
72 & 107.1 & 101.645088717011 & 5.45491128298937 \tabularnewline
73 & 115.8 & 121.238488390078 & -5.43848839007786 \tabularnewline
74 & 122.9 & 123.308860174788 & -0.408860174787918 \tabularnewline
75 & 137.5 & 129.733442925803 & 7.76655707419735 \tabularnewline
76 & 108.9 & 117.887945168211 & -8.98794516821144 \tabularnewline
77 & 114.9 & 108.451465698424 & 6.44853430157634 \tabularnewline
78 & 129.7 & 121.180859043382 & 8.51914095661797 \tabularnewline
79 & 111.8 & 110.761138552108 & 1.03886144789222 \tabularnewline
80 & 103.4 & 100.018126370486 & 3.38187362951433 \tabularnewline
81 & 140.3 & 137.239279118153 & 3.06072088184675 \tabularnewline
82 & 140.7 & 135.485263155771 & 5.21473684422881 \tabularnewline
83 & 136.1 & 132.052773671201 & 4.04722632879898 \tabularnewline
84 & 106.3 & 111.502306439426 & -5.20230643942583 \tabularnewline
85 & 127.7 & 125.783339188489 & 1.91666081151098 \tabularnewline
86 & 136.4 & 132.005272482323 & 4.39472751767661 \tabularnewline
87 & 145.1 & 142.968283281413 & 2.13171671858652 \tabularnewline
88 & 116.5 & 123.838381227449 & -7.33838122744865 \tabularnewline
89 & 117.6 & 118.829803499559 & -1.22980349955921 \tabularnewline
90 & 129 & 130.389974146099 & -1.38997414609878 \tabularnewline
91 & 117.4 & 114.516859022273 & 2.88314097772658 \tabularnewline
92 & 107.2 & 104.623858702933 & 2.57614129706661 \tabularnewline
93 & 130.9 & 142.807142567576 & -11.9071425675762 \tabularnewline
94 & 145.1 & 136.850278341607 & 8.24972165839293 \tabularnewline
95 & 127.8 & 134.015065984656 & -6.21506598465579 \tabularnewline
96 & 96.6 & 108.190257638051 & -11.5902576380513 \tabularnewline
97 & 126 & 121.512673393922 & 4.4873266060776 \tabularnewline
98 & 130.1 & 128.861835329831 & 1.23816467016874 \tabularnewline
99 & 124.5 & 137.754096607989 & -13.2540966079889 \tabularnewline
100 & 137.4 & 112.746682960611 & 24.6533170393894 \tabularnewline
101 & 105.6 & 119.37130118014 & -13.7713011801405 \tabularnewline
102 & 113.3 & 126.545669703337 & -13.2456697033365 \tabularnewline
103 & 108.4 & 108.685980466456 & -0.285980466455882 \tabularnewline
104 & 83.5 & 98.2690985682457 & -14.7690985682457 \tabularnewline
105 & 116.2 & 122.892821468369 & -6.69282146836936 \tabularnewline
106 & 115.6 & 123.058878201803 & -7.45887820180332 \tabularnewline
107 & 95.6 & 112.487279494589 & -16.8872794945888 \tabularnewline
108 & 83.5 & 85.9567419486402 & -2.45674194864016 \tabularnewline
109 & 95.3 & 102.460226749226 & -7.16022674922593 \tabularnewline
110 & 95.8 & 103.819581503884 & -8.01958150388414 \tabularnewline
111 & 100.4 & 104.357583668389 & -3.95758366838858 \tabularnewline
112 & 90.9 & 93.5040649236832 & -2.60406492368315 \tabularnewline
113 & 80 & 83.9468335573295 & -3.94683355732948 \tabularnewline
114 & 93.8 & 90.6426244323924 & 3.15737556760757 \tabularnewline
115 & 92.3 & 83.1794425286851 & 9.12055747131485 \tabularnewline
116 & 74.3 & 74.4028150576082 & -0.102815057608225 \tabularnewline
117 & 101.4 & 99.9297312898047 & 1.47026871019533 \tabularnewline
118 & 103.7 & 101.787181871768 & 1.91281812823209 \tabularnewline
119 & 92.4 & 92.7879724067591 & -0.387972406759062 \tabularnewline
120 & 83.4 & 76.7781199006681 & 6.62188009933192 \tabularnewline
121 & 91.6 & 93.769067462806 & -2.16906746280603 \tabularnewline
122 & 101.2 & 96.2441357799468 & 4.95586422005321 \tabularnewline
123 & 109.2 & 101.947080980546 & 7.25291901945374 \tabularnewline
124 & 100.3 & 94.9594017205565 & 5.34059827944353 \tabularnewline
125 & 91 & 87.322132854818 & 3.67786714518203 \tabularnewline
126 & 110.9 & 99.3942070780308 & 11.5057929219692 \tabularnewline
127 & 96.3 & 95.6061439385795 & 0.693856061420547 \tabularnewline
128 & 80.4 & 80.8923420496878 & -0.492342049687764 \tabularnewline
129 & 114.5 & 109.287160815561 & 5.21283918443879 \tabularnewline
130 & 109.9 & 112.981155024454 & -3.08115502445439 \tabularnewline
131 & 104.1 & 101.234744649616 & 2.86525535038444 \tabularnewline
132 & 90.7 & 86.8431386565194 & 3.85686134348057 \tabularnewline
133 & 94.6 & 102.18944992212 & -7.58944992211985 \tabularnewline
134 & 100.4 & 105.447284931055 & -5.04728493105537 \tabularnewline
135 & 115.9 & 108.989767781123 & 6.91023221887681 \tabularnewline
136 & 94.4 & 101.097867230106 & -6.69786723010645 \tabularnewline
137 & 102.5 & 89.2150236258015 & 13.2849763741985 \tabularnewline
138 & 97.3 & 106.965782231183 & -9.66578223118285 \tabularnewline
139 & 90 & 93.9421257431157 & -3.94212574311571 \tabularnewline
140 & 81.1 & 77.9660774909336 & 3.13392250906642 \tabularnewline
141 & 107.3 & 108.338711657749 & -1.03871165774869 \tabularnewline
142 & 100.5 & 107.890332433921 & -7.39033243392096 \tabularnewline
143 & 95.4 & 96.7130761092517 & -1.31307610925167 \tabularnewline
144 & 81.1 & 82.1256045981721 & -1.02560459817209 \tabularnewline
145 & 92.2 & 91.9056315497943 & 0.294368450205738 \tabularnewline
146 & 98.4 & 97.8167147172537 & 0.583285282746289 \tabularnewline
147 & 98.6 & 105.758027513236 & -7.15802751323621 \tabularnewline
148 & 81.4 & 90.9052091279294 & -9.50520912792938 \tabularnewline
149 & 85.5 & 83.4283938602075 & 2.07160613979252 \tabularnewline
150 & 90.4 & 90.4280010613272 & -0.0280010613272026 \tabularnewline
151 & 83.7 & 82.6468004009301 & 1.05319959906991 \tabularnewline
152 & 73.3 & 71.1594477252658 & 2.14055227473418 \tabularnewline
153 & 89.8 & 97.1619928426948 & -7.3619928426948 \tabularnewline
154 & 101.6 & 93.0470454211879 & 8.55295457881209 \tabularnewline
155 & 87.5 & 88.9105452581544 & -1.41054525815437 \tabularnewline
156 & 65.3 & 75.3846404466016 & -10.0846404466016 \tabularnewline
157 & 87.1 & 81.2840093548359 & 5.81599064516412 \tabularnewline
158 & 89.9 & 88.2925532008007 & 1.60744679919931 \tabularnewline
159 & 91.5 & 93.8397823669269 & -2.3397823669269 \tabularnewline
160 & 84.7 & 80.8407712986119 & 3.85922870138806 \tabularnewline
161 & 84.1 & 80.6089421291828 & 3.49105787081716 \tabularnewline
162 & 86.7 & 87.3373851937884 & -0.637385193788347 \tabularnewline
163 & 89.6 & 79.9279358538646 & 9.67206414613541 \tabularnewline
164 & 65.7 & 71.5403483780052 & -5.84034837800523 \tabularnewline
165 & 92.9 & 91.709907663413 & 1.19009233658703 \tabularnewline
166 & 97.7 & 94.3780886631827 & 3.32191133681732 \tabularnewline
167 & 84.4 & 86.3102591054611 & -1.91025910546107 \tabularnewline
168 & 68.1 & 70.7295335918396 & -2.6295335918396 \tabularnewline
169 & 95 & 83.1847675417333 & 11.8152324582667 \tabularnewline
170 & 96.3 & 91.2678286357693 & 5.03217136423071 \tabularnewline
171 & 94.7 & 97.2357467852339 & -2.53574678523388 \tabularnewline
172 & 89.7 & 85.4757090501882 & 4.22429094981176 \tabularnewline
173 & 81.3 & 85.3576027134805 & -4.05760271348049 \tabularnewline
174 & 89.3 & 88.8505404193331 & 0.449459580666897 \tabularnewline
175 & 94.2 & 84.3569126187347 & 9.84308738126532 \tabularnewline
176 & 68.7 & 71.733691243428 & -3.03369124342802 \tabularnewline
177 & 105.7 & 95.6580409828873 & 10.0419590171127 \tabularnewline
178 & 102 & 102.093054705248 & -0.093054705248278 \tabularnewline
179 & 84.3 & 91.167806828836 & -6.86780682883602 \tabularnewline
180 & 74.9 & 73.2882078848174 & 1.61179211518261 \tabularnewline
181 & 92.9 & 91.9798424574298 & 0.920157542570166 \tabularnewline
182 & 100.4 & 95.050806450994 & 5.34919354900602 \tabularnewline
183 & 99.4 & 99.3534332110877 & 0.0465667889123011 \tabularnewline
184 & 94.6 & 89.908019936917 & 4.69198006308295 \tabularnewline
185 & 84 & 87.7733059255186 & -3.77330592551856 \tabularnewline
186 & 102.2 & 92.9041034059899 & 9.29589659401013 \tabularnewline
187 & 91.4 & 93.5457877936916 & -2.14578779369155 \tabularnewline
188 & 79.8 & 73.3005708456297 & 6.4994291543703 \tabularnewline
189 & 101 & 105.871405346056 & -4.87140534605639 \tabularnewline
190 & 97.5 & 105.129198251203 & -7.62919825120292 \tabularnewline
191 & 87.8 & 90.0028773996231 & -2.20287739962313 \tabularnewline
192 & 77.1 & 75.5102572969527 & 1.58974270304726 \tabularnewline
193 & 89.6 & 94.5316089081322 & -4.9316089081322 \tabularnewline
194 & 100.9 & 96.9319055688703 & 3.96809443112973 \tabularnewline
195 & 97.8 & 99.4632603980561 & -1.66326039805614 \tabularnewline
196 & 90.5 & 90.7031308728367 & -0.203130872836653 \tabularnewline
197 & 84.2 & 84.9387194977286 & -0.738719497728638 \tabularnewline
198 & 96.8 & 94.2078760769532 & 2.59212392304683 \tabularnewline
199 & 82.9 & 89.9180757618524 & -7.01807576185244 \tabularnewline
200 & 75.6 & 71.118223917331 & 4.48177608266899 \tabularnewline
201 & 91.9 & 98.3970790157944 & -6.49707901579437 \tabularnewline
202 & 85.4 & 96.2639711246137 & -10.8639711246137 \tabularnewline
203 & 90.4 & 82.2679058785166 & 8.13209412148343 \tabularnewline
204 & 74 & 72.5143348479305 & 1.48566515206949 \tabularnewline
205 & 93.1 & 88.985662689342 & 4.11433731065804 \tabularnewline
206 & 94.9 & 96.4112965300683 & -1.51129653006826 \tabularnewline
207 & 102.9 & 95.7360408765216 & 7.16395912347839 \tabularnewline
208 & 80.7 & 90.1941234902924 & -9.49412349029242 \tabularnewline
209 & 91.7 & 81.5446864615777 & 10.1553135384223 \tabularnewline
210 & 95.5 & 95.1625273429375 & 0.337472657062534 \tabularnewline
211 & 84.8 & 87.7053889960191 & -2.90538899601907 \tabularnewline
212 & 74.4 & 73.0378984682244 & 1.36210153177556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309556&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]136.2[/C][C]133.666868730215[/C][C]2.53313126978529[/C][/ROW]
[ROW][C]14[/C][C]137.4[/C][C]135.264955109115[/C][C]2.13504489088484[/C][/ROW]
[ROW][C]15[/C][C]147.6[/C][C]146.323407769104[/C][C]1.27659223089572[/C][/ROW]
[ROW][C]16[/C][C]123.7[/C][C]123.391926328568[/C][C]0.308073671432084[/C][/ROW]
[ROW][C]17[/C][C]131.6[/C][C]132.080594812569[/C][C]-0.480594812569166[/C][/ROW]
[ROW][C]18[/C][C]132.7[/C][C]134.236360352219[/C][C]-1.53636035221902[/C][/ROW]
[ROW][C]19[/C][C]123[/C][C]113.811069603732[/C][C]9.18893039626806[/C][/ROW]
[ROW][C]20[/C][C]108.2[/C][C]109.597742864992[/C][C]-1.39774286499201[/C][/ROW]
[ROW][C]21[/C][C]140.9[/C][C]150.449198498385[/C][C]-9.54919849838518[/C][/ROW]
[ROW][C]22[/C][C]149.2[/C][C]153.337735138805[/C][C]-4.13773513880491[/C][/ROW]
[ROW][C]23[/C][C]134.5[/C][C]145.610888280514[/C][C]-11.1108882805139[/C][/ROW]
[ROW][C]24[/C][C]103.2[/C][C]114.331028485203[/C][C]-11.1310284852027[/C][/ROW]
[ROW][C]25[/C][C]136.2[/C][C]130.79361326932[/C][C]5.40638673068008[/C][/ROW]
[ROW][C]26[/C][C]135.6[/C][C]133.043736803448[/C][C]2.55626319655155[/C][/ROW]
[ROW][C]27[/C][C]139.7[/C][C]143.676983082276[/C][C]-3.97698308227598[/C][/ROW]
[ROW][C]28[/C][C]131[/C][C]119.441741560248[/C][C]11.5582584397522[/C][/ROW]
[ROW][C]29[/C][C]124.4[/C][C]131.355322544074[/C][C]-6.95532254407371[/C][/ROW]
[ROW][C]30[/C][C]123.6[/C][C]131.040089998055[/C][C]-7.44008999805462[/C][/ROW]
[ROW][C]31[/C][C]125.1[/C][C]111.92200036341[/C][C]13.1779996365898[/C][/ROW]
[ROW][C]32[/C][C]106.2[/C][C]106.386851877612[/C][C]-0.186851877612455[/C][/ROW]
[ROW][C]33[/C][C]144.4[/C][C]144.45749651175[/C][C]-0.0574965117503439[/C][/ROW]
[ROW][C]34[/C][C]153.7[/C][C]151.613017432403[/C][C]2.08698256759664[/C][/ROW]
[ROW][C]35[/C][C]131.5[/C][C]143.877650535945[/C][C]-12.3776505359445[/C][/ROW]
[ROW][C]36[/C][C]105.5[/C][C]111.925068256011[/C][C]-6.42506825601069[/C][/ROW]
[ROW][C]37[/C][C]136.3[/C][C]134.530912467517[/C][C]1.7690875324833[/C][/ROW]
[ROW][C]38[/C][C]133.4[/C][C]134.868855854114[/C][C]-1.46885585411363[/C][/ROW]
[ROW][C]39[/C][C]129.8[/C][C]142.48215995675[/C][C]-12.6821599567504[/C][/ROW]
[ROW][C]40[/C][C]129.1[/C][C]119.70601413633[/C][C]9.39398586366998[/C][/ROW]
[ROW][C]41[/C][C]113[/C][C]125.938235443247[/C][C]-12.9382354432473[/C][/ROW]
[ROW][C]42[/C][C]117.1[/C][C]123.34752465183[/C][C]-6.2475246518301[/C][/ROW]
[ROW][C]43[/C][C]115.4[/C][C]110.138287800232[/C][C]5.26171219976767[/C][/ROW]
[ROW][C]44[/C][C]96.5[/C][C]99.3503179091891[/C][C]-2.85031790918912[/C][/ROW]
[ROW][C]45[/C][C]141[/C][C]133.555669139958[/C][C]7.44433086004236[/C][/ROW]
[ROW][C]46[/C][C]141.3[/C][C]142.95220308741[/C][C]-1.6522030874095[/C][/ROW]
[ROW][C]47[/C][C]121[/C][C]130.845819013901[/C][C]-9.84581901390075[/C][/ROW]
[ROW][C]48[/C][C]106[/C][C]102.781322006839[/C][C]3.21867799316134[/C][/ROW]
[ROW][C]49[/C][C]121.9[/C][C]129.294152051931[/C][C]-7.3941520519306[/C][/ROW]
[ROW][C]50[/C][C]122.4[/C][C]125.792451822445[/C][C]-3.39245182244461[/C][/ROW]
[ROW][C]51[/C][C]137.4[/C][C]129.259988268725[/C][C]8.14001173127542[/C][/ROW]
[ROW][C]52[/C][C]118.9[/C][C]118.915850270573[/C][C]-0.0158502705725425[/C][/ROW]
[ROW][C]53[/C][C]106.7[/C][C]116.334464277723[/C][C]-9.63446427772344[/C][/ROW]
[ROW][C]54[/C][C]126.5[/C][C]116.222128856187[/C][C]10.2778711438128[/C][/ROW]
[ROW][C]55[/C][C]110.8[/C][C]111.171586748666[/C][C]-0.37158674866572[/C][/ROW]
[ROW][C]56[/C][C]99.3[/C][C]96.752277025811[/C][C]2.54772297418904[/C][/ROW]
[ROW][C]57[/C][C]138.7[/C][C]135.207051760277[/C][C]3.49294823972284[/C][/ROW]
[ROW][C]58[/C][C]128.9[/C][C]140.942326242956[/C][C]-12.0423262429559[/C][/ROW]
[ROW][C]59[/C][C]121.9[/C][C]123.780868764999[/C][C]-1.88086876499925[/C][/ROW]
[ROW][C]60[/C][C]106[/C][C]101.892975829277[/C][C]4.10702417072268[/C][/ROW]
[ROW][C]61[/C][C]113.1[/C][C]125.58147880777[/C][C]-12.4814788077696[/C][/ROW]
[ROW][C]62[/C][C]124.2[/C][C]121.438336983689[/C][C]2.76166301631099[/C][/ROW]
[ROW][C]63[/C][C]129.2[/C][C]129.648573642873[/C][C]-0.448573642873328[/C][/ROW]
[ROW][C]64[/C][C]116.5[/C][C]114.923787935971[/C][C]1.57621206402924[/C][/ROW]
[ROW][C]65[/C][C]105.7[/C][C]110.393038157051[/C][C]-4.69303815705061[/C][/ROW]
[ROW][C]66[/C][C]122[/C][C]116.713801929012[/C][C]5.28619807098843[/C][/ROW]
[ROW][C]67[/C][C]105.1[/C][C]107.63002254759[/C][C]-2.53002254758995[/C][/ROW]
[ROW][C]68[/C][C]100.8[/C][C]93.7139000404093[/C][C]7.08609995959068[/C][/ROW]
[ROW][C]69[/C][C]131.8[/C][C]132.910335937905[/C][C]-1.11033593790535[/C][/ROW]
[ROW][C]70[/C][C]119.9[/C][C]133.019556828131[/C][C]-13.119556828131[/C][/ROW]
[ROW][C]71[/C][C]127.1[/C][C]118.458965722321[/C][C]8.64103427767924[/C][/ROW]
[ROW][C]72[/C][C]107.1[/C][C]101.645088717011[/C][C]5.45491128298937[/C][/ROW]
[ROW][C]73[/C][C]115.8[/C][C]121.238488390078[/C][C]-5.43848839007786[/C][/ROW]
[ROW][C]74[/C][C]122.9[/C][C]123.308860174788[/C][C]-0.408860174787918[/C][/ROW]
[ROW][C]75[/C][C]137.5[/C][C]129.733442925803[/C][C]7.76655707419735[/C][/ROW]
[ROW][C]76[/C][C]108.9[/C][C]117.887945168211[/C][C]-8.98794516821144[/C][/ROW]
[ROW][C]77[/C][C]114.9[/C][C]108.451465698424[/C][C]6.44853430157634[/C][/ROW]
[ROW][C]78[/C][C]129.7[/C][C]121.180859043382[/C][C]8.51914095661797[/C][/ROW]
[ROW][C]79[/C][C]111.8[/C][C]110.761138552108[/C][C]1.03886144789222[/C][/ROW]
[ROW][C]80[/C][C]103.4[/C][C]100.018126370486[/C][C]3.38187362951433[/C][/ROW]
[ROW][C]81[/C][C]140.3[/C][C]137.239279118153[/C][C]3.06072088184675[/C][/ROW]
[ROW][C]82[/C][C]140.7[/C][C]135.485263155771[/C][C]5.21473684422881[/C][/ROW]
[ROW][C]83[/C][C]136.1[/C][C]132.052773671201[/C][C]4.04722632879898[/C][/ROW]
[ROW][C]84[/C][C]106.3[/C][C]111.502306439426[/C][C]-5.20230643942583[/C][/ROW]
[ROW][C]85[/C][C]127.7[/C][C]125.783339188489[/C][C]1.91666081151098[/C][/ROW]
[ROW][C]86[/C][C]136.4[/C][C]132.005272482323[/C][C]4.39472751767661[/C][/ROW]
[ROW][C]87[/C][C]145.1[/C][C]142.968283281413[/C][C]2.13171671858652[/C][/ROW]
[ROW][C]88[/C][C]116.5[/C][C]123.838381227449[/C][C]-7.33838122744865[/C][/ROW]
[ROW][C]89[/C][C]117.6[/C][C]118.829803499559[/C][C]-1.22980349955921[/C][/ROW]
[ROW][C]90[/C][C]129[/C][C]130.389974146099[/C][C]-1.38997414609878[/C][/ROW]
[ROW][C]91[/C][C]117.4[/C][C]114.516859022273[/C][C]2.88314097772658[/C][/ROW]
[ROW][C]92[/C][C]107.2[/C][C]104.623858702933[/C][C]2.57614129706661[/C][/ROW]
[ROW][C]93[/C][C]130.9[/C][C]142.807142567576[/C][C]-11.9071425675762[/C][/ROW]
[ROW][C]94[/C][C]145.1[/C][C]136.850278341607[/C][C]8.24972165839293[/C][/ROW]
[ROW][C]95[/C][C]127.8[/C][C]134.015065984656[/C][C]-6.21506598465579[/C][/ROW]
[ROW][C]96[/C][C]96.6[/C][C]108.190257638051[/C][C]-11.5902576380513[/C][/ROW]
[ROW][C]97[/C][C]126[/C][C]121.512673393922[/C][C]4.4873266060776[/C][/ROW]
[ROW][C]98[/C][C]130.1[/C][C]128.861835329831[/C][C]1.23816467016874[/C][/ROW]
[ROW][C]99[/C][C]124.5[/C][C]137.754096607989[/C][C]-13.2540966079889[/C][/ROW]
[ROW][C]100[/C][C]137.4[/C][C]112.746682960611[/C][C]24.6533170393894[/C][/ROW]
[ROW][C]101[/C][C]105.6[/C][C]119.37130118014[/C][C]-13.7713011801405[/C][/ROW]
[ROW][C]102[/C][C]113.3[/C][C]126.545669703337[/C][C]-13.2456697033365[/C][/ROW]
[ROW][C]103[/C][C]108.4[/C][C]108.685980466456[/C][C]-0.285980466455882[/C][/ROW]
[ROW][C]104[/C][C]83.5[/C][C]98.2690985682457[/C][C]-14.7690985682457[/C][/ROW]
[ROW][C]105[/C][C]116.2[/C][C]122.892821468369[/C][C]-6.69282146836936[/C][/ROW]
[ROW][C]106[/C][C]115.6[/C][C]123.058878201803[/C][C]-7.45887820180332[/C][/ROW]
[ROW][C]107[/C][C]95.6[/C][C]112.487279494589[/C][C]-16.8872794945888[/C][/ROW]
[ROW][C]108[/C][C]83.5[/C][C]85.9567419486402[/C][C]-2.45674194864016[/C][/ROW]
[ROW][C]109[/C][C]95.3[/C][C]102.460226749226[/C][C]-7.16022674922593[/C][/ROW]
[ROW][C]110[/C][C]95.8[/C][C]103.819581503884[/C][C]-8.01958150388414[/C][/ROW]
[ROW][C]111[/C][C]100.4[/C][C]104.357583668389[/C][C]-3.95758366838858[/C][/ROW]
[ROW][C]112[/C][C]90.9[/C][C]93.5040649236832[/C][C]-2.60406492368315[/C][/ROW]
[ROW][C]113[/C][C]80[/C][C]83.9468335573295[/C][C]-3.94683355732948[/C][/ROW]
[ROW][C]114[/C][C]93.8[/C][C]90.6426244323924[/C][C]3.15737556760757[/C][/ROW]
[ROW][C]115[/C][C]92.3[/C][C]83.1794425286851[/C][C]9.12055747131485[/C][/ROW]
[ROW][C]116[/C][C]74.3[/C][C]74.4028150576082[/C][C]-0.102815057608225[/C][/ROW]
[ROW][C]117[/C][C]101.4[/C][C]99.9297312898047[/C][C]1.47026871019533[/C][/ROW]
[ROW][C]118[/C][C]103.7[/C][C]101.787181871768[/C][C]1.91281812823209[/C][/ROW]
[ROW][C]119[/C][C]92.4[/C][C]92.7879724067591[/C][C]-0.387972406759062[/C][/ROW]
[ROW][C]120[/C][C]83.4[/C][C]76.7781199006681[/C][C]6.62188009933192[/C][/ROW]
[ROW][C]121[/C][C]91.6[/C][C]93.769067462806[/C][C]-2.16906746280603[/C][/ROW]
[ROW][C]122[/C][C]101.2[/C][C]96.2441357799468[/C][C]4.95586422005321[/C][/ROW]
[ROW][C]123[/C][C]109.2[/C][C]101.947080980546[/C][C]7.25291901945374[/C][/ROW]
[ROW][C]124[/C][C]100.3[/C][C]94.9594017205565[/C][C]5.34059827944353[/C][/ROW]
[ROW][C]125[/C][C]91[/C][C]87.322132854818[/C][C]3.67786714518203[/C][/ROW]
[ROW][C]126[/C][C]110.9[/C][C]99.3942070780308[/C][C]11.5057929219692[/C][/ROW]
[ROW][C]127[/C][C]96.3[/C][C]95.6061439385795[/C][C]0.693856061420547[/C][/ROW]
[ROW][C]128[/C][C]80.4[/C][C]80.8923420496878[/C][C]-0.492342049687764[/C][/ROW]
[ROW][C]129[/C][C]114.5[/C][C]109.287160815561[/C][C]5.21283918443879[/C][/ROW]
[ROW][C]130[/C][C]109.9[/C][C]112.981155024454[/C][C]-3.08115502445439[/C][/ROW]
[ROW][C]131[/C][C]104.1[/C][C]101.234744649616[/C][C]2.86525535038444[/C][/ROW]
[ROW][C]132[/C][C]90.7[/C][C]86.8431386565194[/C][C]3.85686134348057[/C][/ROW]
[ROW][C]133[/C][C]94.6[/C][C]102.18944992212[/C][C]-7.58944992211985[/C][/ROW]
[ROW][C]134[/C][C]100.4[/C][C]105.447284931055[/C][C]-5.04728493105537[/C][/ROW]
[ROW][C]135[/C][C]115.9[/C][C]108.989767781123[/C][C]6.91023221887681[/C][/ROW]
[ROW][C]136[/C][C]94.4[/C][C]101.097867230106[/C][C]-6.69786723010645[/C][/ROW]
[ROW][C]137[/C][C]102.5[/C][C]89.2150236258015[/C][C]13.2849763741985[/C][/ROW]
[ROW][C]138[/C][C]97.3[/C][C]106.965782231183[/C][C]-9.66578223118285[/C][/ROW]
[ROW][C]139[/C][C]90[/C][C]93.9421257431157[/C][C]-3.94212574311571[/C][/ROW]
[ROW][C]140[/C][C]81.1[/C][C]77.9660774909336[/C][C]3.13392250906642[/C][/ROW]
[ROW][C]141[/C][C]107.3[/C][C]108.338711657749[/C][C]-1.03871165774869[/C][/ROW]
[ROW][C]142[/C][C]100.5[/C][C]107.890332433921[/C][C]-7.39033243392096[/C][/ROW]
[ROW][C]143[/C][C]95.4[/C][C]96.7130761092517[/C][C]-1.31307610925167[/C][/ROW]
[ROW][C]144[/C][C]81.1[/C][C]82.1256045981721[/C][C]-1.02560459817209[/C][/ROW]
[ROW][C]145[/C][C]92.2[/C][C]91.9056315497943[/C][C]0.294368450205738[/C][/ROW]
[ROW][C]146[/C][C]98.4[/C][C]97.8167147172537[/C][C]0.583285282746289[/C][/ROW]
[ROW][C]147[/C][C]98.6[/C][C]105.758027513236[/C][C]-7.15802751323621[/C][/ROW]
[ROW][C]148[/C][C]81.4[/C][C]90.9052091279294[/C][C]-9.50520912792938[/C][/ROW]
[ROW][C]149[/C][C]85.5[/C][C]83.4283938602075[/C][C]2.07160613979252[/C][/ROW]
[ROW][C]150[/C][C]90.4[/C][C]90.4280010613272[/C][C]-0.0280010613272026[/C][/ROW]
[ROW][C]151[/C][C]83.7[/C][C]82.6468004009301[/C][C]1.05319959906991[/C][/ROW]
[ROW][C]152[/C][C]73.3[/C][C]71.1594477252658[/C][C]2.14055227473418[/C][/ROW]
[ROW][C]153[/C][C]89.8[/C][C]97.1619928426948[/C][C]-7.3619928426948[/C][/ROW]
[ROW][C]154[/C][C]101.6[/C][C]93.0470454211879[/C][C]8.55295457881209[/C][/ROW]
[ROW][C]155[/C][C]87.5[/C][C]88.9105452581544[/C][C]-1.41054525815437[/C][/ROW]
[ROW][C]156[/C][C]65.3[/C][C]75.3846404466016[/C][C]-10.0846404466016[/C][/ROW]
[ROW][C]157[/C][C]87.1[/C][C]81.2840093548359[/C][C]5.81599064516412[/C][/ROW]
[ROW][C]158[/C][C]89.9[/C][C]88.2925532008007[/C][C]1.60744679919931[/C][/ROW]
[ROW][C]159[/C][C]91.5[/C][C]93.8397823669269[/C][C]-2.3397823669269[/C][/ROW]
[ROW][C]160[/C][C]84.7[/C][C]80.8407712986119[/C][C]3.85922870138806[/C][/ROW]
[ROW][C]161[/C][C]84.1[/C][C]80.6089421291828[/C][C]3.49105787081716[/C][/ROW]
[ROW][C]162[/C][C]86.7[/C][C]87.3373851937884[/C][C]-0.637385193788347[/C][/ROW]
[ROW][C]163[/C][C]89.6[/C][C]79.9279358538646[/C][C]9.67206414613541[/C][/ROW]
[ROW][C]164[/C][C]65.7[/C][C]71.5403483780052[/C][C]-5.84034837800523[/C][/ROW]
[ROW][C]165[/C][C]92.9[/C][C]91.709907663413[/C][C]1.19009233658703[/C][/ROW]
[ROW][C]166[/C][C]97.7[/C][C]94.3780886631827[/C][C]3.32191133681732[/C][/ROW]
[ROW][C]167[/C][C]84.4[/C][C]86.3102591054611[/C][C]-1.91025910546107[/C][/ROW]
[ROW][C]168[/C][C]68.1[/C][C]70.7295335918396[/C][C]-2.6295335918396[/C][/ROW]
[ROW][C]169[/C][C]95[/C][C]83.1847675417333[/C][C]11.8152324582667[/C][/ROW]
[ROW][C]170[/C][C]96.3[/C][C]91.2678286357693[/C][C]5.03217136423071[/C][/ROW]
[ROW][C]171[/C][C]94.7[/C][C]97.2357467852339[/C][C]-2.53574678523388[/C][/ROW]
[ROW][C]172[/C][C]89.7[/C][C]85.4757090501882[/C][C]4.22429094981176[/C][/ROW]
[ROW][C]173[/C][C]81.3[/C][C]85.3576027134805[/C][C]-4.05760271348049[/C][/ROW]
[ROW][C]174[/C][C]89.3[/C][C]88.8505404193331[/C][C]0.449459580666897[/C][/ROW]
[ROW][C]175[/C][C]94.2[/C][C]84.3569126187347[/C][C]9.84308738126532[/C][/ROW]
[ROW][C]176[/C][C]68.7[/C][C]71.733691243428[/C][C]-3.03369124342802[/C][/ROW]
[ROW][C]177[/C][C]105.7[/C][C]95.6580409828873[/C][C]10.0419590171127[/C][/ROW]
[ROW][C]178[/C][C]102[/C][C]102.093054705248[/C][C]-0.093054705248278[/C][/ROW]
[ROW][C]179[/C][C]84.3[/C][C]91.167806828836[/C][C]-6.86780682883602[/C][/ROW]
[ROW][C]180[/C][C]74.9[/C][C]73.2882078848174[/C][C]1.61179211518261[/C][/ROW]
[ROW][C]181[/C][C]92.9[/C][C]91.9798424574298[/C][C]0.920157542570166[/C][/ROW]
[ROW][C]182[/C][C]100.4[/C][C]95.050806450994[/C][C]5.34919354900602[/C][/ROW]
[ROW][C]183[/C][C]99.4[/C][C]99.3534332110877[/C][C]0.0465667889123011[/C][/ROW]
[ROW][C]184[/C][C]94.6[/C][C]89.908019936917[/C][C]4.69198006308295[/C][/ROW]
[ROW][C]185[/C][C]84[/C][C]87.7733059255186[/C][C]-3.77330592551856[/C][/ROW]
[ROW][C]186[/C][C]102.2[/C][C]92.9041034059899[/C][C]9.29589659401013[/C][/ROW]
[ROW][C]187[/C][C]91.4[/C][C]93.5457877936916[/C][C]-2.14578779369155[/C][/ROW]
[ROW][C]188[/C][C]79.8[/C][C]73.3005708456297[/C][C]6.4994291543703[/C][/ROW]
[ROW][C]189[/C][C]101[/C][C]105.871405346056[/C][C]-4.87140534605639[/C][/ROW]
[ROW][C]190[/C][C]97.5[/C][C]105.129198251203[/C][C]-7.62919825120292[/C][/ROW]
[ROW][C]191[/C][C]87.8[/C][C]90.0028773996231[/C][C]-2.20287739962313[/C][/ROW]
[ROW][C]192[/C][C]77.1[/C][C]75.5102572969527[/C][C]1.58974270304726[/C][/ROW]
[ROW][C]193[/C][C]89.6[/C][C]94.5316089081322[/C][C]-4.9316089081322[/C][/ROW]
[ROW][C]194[/C][C]100.9[/C][C]96.9319055688703[/C][C]3.96809443112973[/C][/ROW]
[ROW][C]195[/C][C]97.8[/C][C]99.4632603980561[/C][C]-1.66326039805614[/C][/ROW]
[ROW][C]196[/C][C]90.5[/C][C]90.7031308728367[/C][C]-0.203130872836653[/C][/ROW]
[ROW][C]197[/C][C]84.2[/C][C]84.9387194977286[/C][C]-0.738719497728638[/C][/ROW]
[ROW][C]198[/C][C]96.8[/C][C]94.2078760769532[/C][C]2.59212392304683[/C][/ROW]
[ROW][C]199[/C][C]82.9[/C][C]89.9180757618524[/C][C]-7.01807576185244[/C][/ROW]
[ROW][C]200[/C][C]75.6[/C][C]71.118223917331[/C][C]4.48177608266899[/C][/ROW]
[ROW][C]201[/C][C]91.9[/C][C]98.3970790157944[/C][C]-6.49707901579437[/C][/ROW]
[ROW][C]202[/C][C]85.4[/C][C]96.2639711246137[/C][C]-10.8639711246137[/C][/ROW]
[ROW][C]203[/C][C]90.4[/C][C]82.2679058785166[/C][C]8.13209412148343[/C][/ROW]
[ROW][C]204[/C][C]74[/C][C]72.5143348479305[/C][C]1.48566515206949[/C][/ROW]
[ROW][C]205[/C][C]93.1[/C][C]88.985662689342[/C][C]4.11433731065804[/C][/ROW]
[ROW][C]206[/C][C]94.9[/C][C]96.4112965300683[/C][C]-1.51129653006826[/C][/ROW]
[ROW][C]207[/C][C]102.9[/C][C]95.7360408765216[/C][C]7.16395912347839[/C][/ROW]
[ROW][C]208[/C][C]80.7[/C][C]90.1941234902924[/C][C]-9.49412349029242[/C][/ROW]
[ROW][C]209[/C][C]91.7[/C][C]81.5446864615777[/C][C]10.1553135384223[/C][/ROW]
[ROW][C]210[/C][C]95.5[/C][C]95.1625273429375[/C][C]0.337472657062534[/C][/ROW]
[ROW][C]211[/C][C]84.8[/C][C]87.7053889960191[/C][C]-2.90538899601907[/C][/ROW]
[ROW][C]212[/C][C]74.4[/C][C]73.0378984682244[/C][C]1.36210153177556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309556&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309556&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
13136.2133.6668687302152.53313126978529
14137.4135.2649551091152.13504489088484
15147.6146.3234077691041.27659223089572
16123.7123.3919263285680.308073671432084
17131.6132.080594812569-0.480594812569166
18132.7134.236360352219-1.53636035221902
19123113.8110696037329.18893039626806
20108.2109.597742864992-1.39774286499201
21140.9150.449198498385-9.54919849838518
22149.2153.337735138805-4.13773513880491
23134.5145.610888280514-11.1108882805139
24103.2114.331028485203-11.1310284852027
25136.2130.793613269325.40638673068008
26135.6133.0437368034482.55626319655155
27139.7143.676983082276-3.97698308227598
28131119.44174156024811.5582584397522
29124.4131.355322544074-6.95532254407371
30123.6131.040089998055-7.44008999805462
31125.1111.9220003634113.1779996365898
32106.2106.386851877612-0.186851877612455
33144.4144.45749651175-0.0574965117503439
34153.7151.6130174324032.08698256759664
35131.5143.877650535945-12.3776505359445
36105.5111.925068256011-6.42506825601069
37136.3134.5309124675171.7690875324833
38133.4134.868855854114-1.46885585411363
39129.8142.48215995675-12.6821599567504
40129.1119.706014136339.39398586366998
41113125.938235443247-12.9382354432473
42117.1123.34752465183-6.2475246518301
43115.4110.1382878002325.26171219976767
4496.599.3503179091891-2.85031790918912
45141133.5556691399587.44433086004236
46141.3142.95220308741-1.6522030874095
47121130.845819013901-9.84581901390075
48106102.7813220068393.21867799316134
49121.9129.294152051931-7.3941520519306
50122.4125.792451822445-3.39245182244461
51137.4129.2599882687258.14001173127542
52118.9118.915850270573-0.0158502705725425
53106.7116.334464277723-9.63446427772344
54126.5116.22212885618710.2778711438128
55110.8111.171586748666-0.37158674866572
5699.396.7522770258112.54772297418904
57138.7135.2070517602773.49294823972284
58128.9140.942326242956-12.0423262429559
59121.9123.780868764999-1.88086876499925
60106101.8929758292774.10702417072268
61113.1125.58147880777-12.4814788077696
62124.2121.4383369836892.76166301631099
63129.2129.648573642873-0.448573642873328
64116.5114.9237879359711.57621206402924
65105.7110.393038157051-4.69303815705061
66122116.7138019290125.28619807098843
67105.1107.63002254759-2.53002254758995
68100.893.71390004040937.08609995959068
69131.8132.910335937905-1.11033593790535
70119.9133.019556828131-13.119556828131
71127.1118.4589657223218.64103427767924
72107.1101.6450887170115.45491128298937
73115.8121.238488390078-5.43848839007786
74122.9123.308860174788-0.408860174787918
75137.5129.7334429258037.76655707419735
76108.9117.887945168211-8.98794516821144
77114.9108.4514656984246.44853430157634
78129.7121.1808590433828.51914095661797
79111.8110.7611385521081.03886144789222
80103.4100.0181263704863.38187362951433
81140.3137.2392791181533.06072088184675
82140.7135.4852631557715.21473684422881
83136.1132.0527736712014.04722632879898
84106.3111.502306439426-5.20230643942583
85127.7125.7833391884891.91666081151098
86136.4132.0052724823234.39472751767661
87145.1142.9682832814132.13171671858652
88116.5123.838381227449-7.33838122744865
89117.6118.829803499559-1.22980349955921
90129130.389974146099-1.38997414609878
91117.4114.5168590222732.88314097772658
92107.2104.6238587029332.57614129706661
93130.9142.807142567576-11.9071425675762
94145.1136.8502783416078.24972165839293
95127.8134.015065984656-6.21506598465579
9696.6108.190257638051-11.5902576380513
97126121.5126733939224.4873266060776
98130.1128.8618353298311.23816467016874
99124.5137.754096607989-13.2540966079889
100137.4112.74668296061124.6533170393894
101105.6119.37130118014-13.7713011801405
102113.3126.545669703337-13.2456697033365
103108.4108.685980466456-0.285980466455882
10483.598.2690985682457-14.7690985682457
105116.2122.892821468369-6.69282146836936
106115.6123.058878201803-7.45887820180332
10795.6112.487279494589-16.8872794945888
10883.585.9567419486402-2.45674194864016
10995.3102.460226749226-7.16022674922593
11095.8103.819581503884-8.01958150388414
111100.4104.357583668389-3.95758366838858
11290.993.5040649236832-2.60406492368315
1138083.9468335573295-3.94683355732948
11493.890.64262443239243.15737556760757
11592.383.17944252868519.12055747131485
11674.374.4028150576082-0.102815057608225
117101.499.92973128980471.47026871019533
118103.7101.7871818717681.91281812823209
11992.492.7879724067591-0.387972406759062
12083.476.77811990066816.62188009933192
12191.693.769067462806-2.16906746280603
122101.296.24413577994684.95586422005321
123109.2101.9470809805467.25291901945374
124100.394.95940172055655.34059827944353
1259187.3221328548183.67786714518203
126110.999.394207078030811.5057929219692
12796.395.60614393857950.693856061420547
12880.480.8923420496878-0.492342049687764
129114.5109.2871608155615.21283918443879
130109.9112.981155024454-3.08115502445439
131104.1101.2347446496162.86525535038444
13290.786.84313865651943.85686134348057
13394.6102.18944992212-7.58944992211985
134100.4105.447284931055-5.04728493105537
135115.9108.9897677811236.91023221887681
13694.4101.097867230106-6.69786723010645
137102.589.215023625801513.2849763741985
13897.3106.965782231183-9.66578223118285
1399093.9421257431157-3.94212574311571
14081.177.96607749093363.13392250906642
141107.3108.338711657749-1.03871165774869
142100.5107.890332433921-7.39033243392096
14395.496.7130761092517-1.31307610925167
14481.182.1256045981721-1.02560459817209
14592.291.90563154979430.294368450205738
14698.497.81671471725370.583285282746289
14798.6105.758027513236-7.15802751323621
14881.490.9052091279294-9.50520912792938
14985.583.42839386020752.07160613979252
15090.490.4280010613272-0.0280010613272026
15183.782.64680040093011.05319959906991
15273.371.15944772526582.14055227473418
15389.897.1619928426948-7.3619928426948
154101.693.04704542118798.55295457881209
15587.588.9105452581544-1.41054525815437
15665.375.3846404466016-10.0846404466016
15787.181.28400935483595.81599064516412
15889.988.29255320080071.60744679919931
15991.593.8397823669269-2.3397823669269
16084.780.84077129861193.85922870138806
16184.180.60894212918283.49105787081716
16286.787.3373851937884-0.637385193788347
16389.679.92793585386469.67206414613541
16465.771.5403483780052-5.84034837800523
16592.991.7099076634131.19009233658703
16697.794.37808866318273.32191133681732
16784.486.3102591054611-1.91025910546107
16868.170.7295335918396-2.6295335918396
1699583.184767541733311.8152324582667
17096.391.26782863576935.03217136423071
17194.797.2357467852339-2.53574678523388
17289.785.47570905018824.22429094981176
17381.385.3576027134805-4.05760271348049
17489.388.85054041933310.449459580666897
17594.284.35691261873479.84308738126532
17668.771.733691243428-3.03369124342802
177105.795.658040982887310.0419590171127
178102102.093054705248-0.093054705248278
17984.391.167806828836-6.86780682883602
18074.973.28820788481741.61179211518261
18192.991.97984245742980.920157542570166
182100.495.0508064509945.34919354900602
18399.499.35343321108770.0465667889123011
18494.689.9080199369174.69198006308295
1858487.7733059255186-3.77330592551856
186102.292.90410340598999.29589659401013
18791.493.5457877936916-2.14578779369155
18879.873.30057084562976.4994291543703
189101105.871405346056-4.87140534605639
19097.5105.129198251203-7.62919825120292
19187.890.0028773996231-2.20287739962313
19277.175.51025729695271.58974270304726
19389.694.5316089081322-4.9316089081322
194100.996.93190556887033.96809443112973
19597.899.4632603980561-1.66326039805614
19690.590.7031308728367-0.203130872836653
19784.284.9387194977286-0.738719497728638
19896.894.20787607695322.59212392304683
19982.989.9180757618524-7.01807576185244
20075.671.1182239173314.48177608266899
20191.998.3970790157944-6.49707901579437
20285.496.2639711246137-10.8639711246137
20390.482.26790587851668.13209412148343
2047472.51433484793051.48566515206949
20593.188.9856626893424.11433731065804
20694.996.4112965300683-1.51129653006826
207102.995.73604087652167.16395912347839
20880.790.1941234902924-9.49412349029242
20991.781.544686461577710.1553135384223
21095.595.16252734293750.337472657062534
21184.887.7053889960191-2.90538899601907
21274.473.03789846822441.36210153177556







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21396.439122338399789.0812825878768103.796962088923
21495.175646098572286.7583823492446103.5929098479
21589.239104721193880.042176983270998.4360324591166
21674.910702769855465.495411810348284.3259937293625
21791.998106585081680.405619245569103.590593924594
21896.757500159272983.8807628325108109.634237486035
21998.825687334233684.9106623575212112.740712310946
22086.787914326996273.386618253505100.189210400487
22186.130816208463271.9930728530678100.268559563859
22293.910687245192377.9383183208558109.883056169529
22385.62334200966770.0518397201784101.194844299155
22473.0360597443501-2.89161328540703148.963732774107

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 96.4391223383997 & 89.0812825878768 & 103.796962088923 \tabularnewline
214 & 95.1756460985722 & 86.7583823492446 & 103.5929098479 \tabularnewline
215 & 89.2391047211938 & 80.0421769832709 & 98.4360324591166 \tabularnewline
216 & 74.9107027698554 & 65.4954118103482 & 84.3259937293625 \tabularnewline
217 & 91.9981065850816 & 80.405619245569 & 103.590593924594 \tabularnewline
218 & 96.7575001592729 & 83.8807628325108 & 109.634237486035 \tabularnewline
219 & 98.8256873342336 & 84.9106623575212 & 112.740712310946 \tabularnewline
220 & 86.7879143269962 & 73.386618253505 & 100.189210400487 \tabularnewline
221 & 86.1308162084632 & 71.9930728530678 & 100.268559563859 \tabularnewline
222 & 93.9106872451923 & 77.9383183208558 & 109.883056169529 \tabularnewline
223 & 85.623342009667 & 70.0518397201784 & 101.194844299155 \tabularnewline
224 & 73.0360597443501 & -2.89161328540703 & 148.963732774107 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309556&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]96.4391223383997[/C][C]89.0812825878768[/C][C]103.796962088923[/C][/ROW]
[ROW][C]214[/C][C]95.1756460985722[/C][C]86.7583823492446[/C][C]103.5929098479[/C][/ROW]
[ROW][C]215[/C][C]89.2391047211938[/C][C]80.0421769832709[/C][C]98.4360324591166[/C][/ROW]
[ROW][C]216[/C][C]74.9107027698554[/C][C]65.4954118103482[/C][C]84.3259937293625[/C][/ROW]
[ROW][C]217[/C][C]91.9981065850816[/C][C]80.405619245569[/C][C]103.590593924594[/C][/ROW]
[ROW][C]218[/C][C]96.7575001592729[/C][C]83.8807628325108[/C][C]109.634237486035[/C][/ROW]
[ROW][C]219[/C][C]98.8256873342336[/C][C]84.9106623575212[/C][C]112.740712310946[/C][/ROW]
[ROW][C]220[/C][C]86.7879143269962[/C][C]73.386618253505[/C][C]100.189210400487[/C][/ROW]
[ROW][C]221[/C][C]86.1308162084632[/C][C]71.9930728530678[/C][C]100.268559563859[/C][/ROW]
[ROW][C]222[/C][C]93.9106872451923[/C][C]77.9383183208558[/C][C]109.883056169529[/C][/ROW]
[ROW][C]223[/C][C]85.623342009667[/C][C]70.0518397201784[/C][C]101.194844299155[/C][/ROW]
[ROW][C]224[/C][C]73.0360597443501[/C][C]-2.89161328540703[/C][C]148.963732774107[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309556&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309556&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
21396.439122338399789.0812825878768103.796962088923
21495.175646098572286.7583823492446103.5929098479
21589.239104721193880.042176983270998.4360324591166
21674.910702769855465.495411810348284.3259937293625
21791.998106585081680.405619245569103.590593924594
21896.757500159272983.8807628325108109.634237486035
21998.825687334233684.9106623575212112.740712310946
22086.787914326996273.386618253505100.189210400487
22186.130816208463271.9930728530678100.268559563859
22293.910687245192377.9383183208558109.883056169529
22385.62334200966770.0518397201784101.194844299155
22473.0360597443501-2.89161328540703148.963732774107



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