Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 17 Dec 2017 15:27:34 +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/17/t1513521389ecyemuj1ymn1ycw.htm/, Retrieved Wed, 15 May 2024 19:32:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309986, Retrieved Wed, 15 May 2024 19:32:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2017-12-17 14:27:34] [b34ea42038cce67d37e0f1b321879014] [Current]
Feedback Forum

Post a new message
Dataseries X:
52
54.9
60.5
54.8
60.1
60.3
49.8
53.8
64.8
62
65.2
60.1
61.2
63.6
68.6
63.1
66.5
71.9
58.1
61.5
66.2
72.3
67
62.9
66.4
65.6
70.9
68.4
66.4
67.6
64.1
62.1
70
74.4
67
64.8
70.7
64
72.5
70.4
63.6
69.8
67.7
66.4
78.9
79.9
69.1
81.2
66
71.8
86.1
76.1
70.5
83.3
74.8
73.4
86.5
82
80.8
91.5
77
72.3
83.5
79
76.7
83.1
71.1
75.5
90.9
85.4
84.8
83.8
79.3
79.9
93
78.1
82.3
87.3
74.6
80
91.3
94.2
90.9
88
81.6
77.4
91
79.9
83.4
91.6
85.2
84.1
87
92.8
89.2
87.3
89.5
86.8
92
92.2
86.4
92.9
91.2
80.3
102
99
89.2
103
80.4
83.4
97.6
87
84.4
94.1
88.9
82.3
94.7
94.5
91.6
96.8
87.9
99.9
109.5
91.2
89.4
109.7
96.9
94.1
104.4
100.8
107.4
108.9
95.2
102.7
130.9
104
106.5
106.1
97.8
112.2
114.5
105.8
101
101.2
96.5
99.5
123.8
94.6
95.8
105.4
104.4
105.2
112.7
114.8
108.9
103.8
102.5
98.1
118.2
114.8
109.9
116.7
116.9
104.4
113.5
123.8
116.4
114.1
102.8
112.7
121.1
120.8
117.8
130.4
110.9
105.4
137.6
133.3
123.3
122.8
110.2
101.4
128.7
120.6
110.1
121.6
113
115.9
131.1
127.4
123.9
120.8
108.5
112.9
129.6
121.3
119.1
140.8
127.4
128.1
136.6
126.5
120.8
144.3
116
123.4
138.6
118.3
124.2
136
127.4
131.6




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=309986&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=309986&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309986&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
alpha0.161183808585777
beta0.0159408978882776
gamma0.230416731952282

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.161183808585777 \tabularnewline
beta & 0.0159408978882776 \tabularnewline
gamma & 0.230416731952282 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309986&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]0.161183808585777[/C][/ROW]
[ROW][C]beta[/C][C]0.0159408978882776[/C][/ROW]
[ROW][C]gamma[/C][C]0.230416731952282[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309986&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309986&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
alpha0.161183808585777
beta0.0159408978882776
gamma0.230416731952282







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1361.256.82889957264964.37110042735043
1463.659.89750769697153.70249230302851
1568.665.75536025526912.84463974473086
1663.160.87391659667032.22608340332969
1766.564.78182473574571.71817526425428
1871.970.92478101122080.975218988779204
1958.156.19215717320981.90784282679017
2061.560.41892590333241.08107409666763
2166.271.5610439616518-5.36104396165177
2272.367.86768881783064.43231118216936
236771.8350857334705-4.83508573347054
2462.965.8588049785317-2.9588049785317
2566.467.1430156635689-0.74301566356894
2665.669.270905405345-3.67090540534501
2770.973.7683579988529-2.86835799885286
2868.467.82571542879930.574284571200707
2966.471.3441657924959-4.94416579249587
3067.676.2274982313673-8.62749823136733
3164.160.06048774194084.03951225805924
3262.164.4096894754142-2.30968947541421
337073.6900819999215-3.69008199992155
3474.472.09311110583622.30688889416379
356773.855505089559-6.85550508955896
3664.867.8397746511608-3.03977465116084
3770.769.46255478751461.23744521248544
386471.2722155069896-7.27221550698957
3972.575.2635034803546-2.76350348035459
4070.469.92260986037840.477390139621647
4163.672.2780658303741-8.67806583037413
4269.875.7572701338203-5.95727013382034
4367.762.38538409439425.31461590560576
4466.465.63271319595090.767286804049078
4578.975.06992976606793.83007023393212
4679.975.79115010528234.10884989471774
4769.176.0247245720571-6.92472457205713
4881.270.686769425984410.5132305740157
496675.3070256278315-9.30702562783149
5071.873.7315327560179-1.93153275601787
5186.179.42797486876586.67202513123421
5276.176.2314615246623-0.131461524662271
5370.576.7148091111213-6.2148091111213
5483.381.11881797297222.18118202702776
5574.871.26012869560443.53987130439556
5673.473.36075273336820.0392472666318042
5786.583.28896740558633.21103259441367
588283.9790799321699-1.97907993216991
5980.881.0979862000435-0.297986200043468
6091.580.214688297402211.2853117025978
617781.1467436335805-4.14674363358053
6272.381.8599362875669-9.5599362875669
6383.588.0014914272368-4.50149142723683
647981.6721351461452-2.67213514614521
6576.780.5467727796878-3.84677277968777
6683.186.9378880063042-3.83788800630417
6771.176.3388232590513-5.23882325905129
6875.576.2925140415119-0.792514041511936
6990.986.64220045756314.25779954243694
7085.486.4430977259521-1.04309772595212
7184.883.98538504942140.814614950578573
7283.885.4706661930653-1.67066619306533
7379.381.2489300025067-1.94893000250674
7479.981.192942640412-1.29294264041204
759389.58874232230753.41125767769253
7678.184.8527537569543-6.75275375695431
7782.382.7965338292867-0.496533829286733
7887.389.6918815686332-2.39188156863322
7974.679.021347087635-4.42134708763496
808079.93449920853420.065500791465837
8191.391.3691260591478-0.0691260591477629
8294.289.40746371407234.79253628592775
8390.988.22382234933662.67617765066342
848889.5079999249368-1.50799992493675
8581.685.2383098456106-3.63830984561056
8677.485.012077562014-7.61207756201399
879193.2575818996972-2.25758189969717
8879.985.5878618627287-5.6878618627287
8983.484.859672842405-1.45967284240497
9091.691.17817816851530.421821831484664
9185.280.52087476917274.6791252308273
9284.183.74342158171170.356578418288294
938795.1750331444206-8.17503314442058
9492.892.8017393121095-0.00173931210953526
9589.290.3792364005213-1.17923640052128
9687.390.1663131200779-2.86631312007786
9789.585.19549030649784.30450969350215
9886.885.43142716491891.36857283508107
999296.1323986141178-4.1323986141178
10092.287.46570538725594.73429461274408
10186.489.2296030876797-2.8296030876797
10292.995.6824190536365-2.78241905363652
10391.285.3147219570645.88527804293598
10480.387.882568073298-7.58256807329796
10510296.35148919854815.64851080145193
1069997.78749544452531.21250455547469
10789.295.3377020102121-6.13770201021208
10810393.99131686223259.00868313776755
10980.492.3428562430721-11.9428562430721
11083.489.3731325562356-5.97313255623556
11197.697.789264936556-0.189264936556029
1128791.4437407546462-4.44374075464617
11384.490.2146453077246-5.81464530772459
11494.196.1360577548254-2.03605775482545
11588.987.50646604621881.39353395378124
11682.386.6782809152191-4.37828091521907
11794.798.1601753119169-3.46017531191694
11894.597.1864526556017-2.68645265560173
11991.692.5933875001551-0.993387500155123
12096.894.92265766630541.87734233369459
12187.987.9759832470828-0.0759832470827888
12299.988.004009782815411.8959902171846
123109.5100.3953492943049.10465070569647
12491.294.7265438506919-3.52654385069185
12589.493.3836611982712-3.98366119827116
126109.7100.3385585553819.36144144461873
12796.994.24625102566732.65374897433274
12894.192.54619912938811.55380087061189
129104.4105.217507686317-0.817507686316759
130100.8104.881883052669-4.08188305266906
131107.4100.4501424845796.94985751542069
132108.9104.6940058305384.20599416946219
13395.297.83054601504-2.63054601504003
134102.799.83957229524822.8604277047518
135130.9110.29065016496120.609349835039
136104104.120080549516-0.12008054951589
137106.5103.3318544451123.16814555488813
138106.1114.131128643327-8.03112864332709
13997.8104.006603285148-6.20660328514843
140112.2100.71067261606311.489327383937
141114.5114.59549711639-0.0954971163901916
142105.8113.817564451716-8.0175644517162
143101110.945773405933-9.94577340593348
144101.2111.954729038672-10.7547290386724
14596.5101.338775533366-4.83877553336598
14699.5104.027758193224-4.52775819322413
147123.8116.6740670270437.12593297295719
14894.6104.244639820197-9.64463982019689
14995.8102.453254777733-6.65325477773301
150105.4109.376184082572-3.9761840825721
151104.4100.1395794096794.26042059032144
152105.2101.8595690512043.34043094879566
153112.7112.0794861548590.620513845140863
154114.8109.7752931219345.02470687806589
155108.9108.5560229802670.343977019733003
156103.8111.016602593708-7.21660259370782
157102.5102.0728836992850.42711630071463
15898.1105.642812187731-7.54281218773082
159118.2120.019846746735-1.81984674673521
160114.8102.84845830631711.951541693683
161109.9105.1130087757174.78699122428259
162116.7114.4235461385092.27645386149109
163116.9107.8289883548239.07101164517724
164104.4110.201188985018-5.8011889850183
165113.5118.453072865922-4.95307286592218
166123.8116.1185636080377.68143639196323
167116.4114.4464879603941.95351203960597
168114.1115.732997290402-1.63299729040224
169102.8109.208756037648-6.40875603764812
170112.7110.1610158869592.5389841130407
171121.1127.31966575522-6.21966575522039
172120.8112.1399631048528.6600368951478
173117.8112.5199429865735.28005701342697
174130.4121.4567031734098.94329682659053
175110.9117.299074547775-6.39907454777497
176105.4114.312648465519-8.91264846551883
177137.6122.22830167589515.3716983241052
178133.3125.6653675024847.63463249751605
179123.3122.9321372977060.367862702294133
180122.8123.319267793383-0.51926779338342
181110.2116.103750601313-5.90375060131275
182101.4118.920356232213-17.5203562322131
183128.7131.154928545808-2.4549285458076
184120.6119.469633677261.13036632274029
185110.1117.975016958528-7.87501695852825
186121.6125.457950144617-3.8579501446174
187113116.19728105025-3.19728105025
188115.9113.1749873951162.72501260488362
189131.1127.6238296456793.47617035432056
190127.4127.581339221709-0.181339221709436
191123.9122.0969262484041.80307375159623
192120.8122.460741866885-1.660741866885
193108.5113.934420908806-5.434420908806
194112.9114.496536379827-1.59653637982726
195129.6132.165577985125-2.56557798512509
196121.3121.1111223662940.188877633705502
197119.1117.677515892041.42248410795975
198140.8127.41265162817413.387348371826
199127.4121.0808362286716.31916377132934
200128.1120.7830343990547.31696560094633
201136.6136.1749556475910.425044352408776
202126.5134.983668778091-8.48366877809087
203120.8128.573173719159-7.77317371915912
204144.3126.72794812716917.5720518728306
205116120.625664402945-4.62566440294475
206123.4122.1153809933981.28461900660157
207138.6140.124394110423-1.52439411042297
208118.3129.835679056628-11.535679056628
209124.2124.786111621812-0.586111621811853
210136136.540289449761-0.540289449761417
211127.4126.591917646640.808082353360007
212131.6125.5789837388426.02101626115783

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 61.2 & 56.8288995726496 & 4.37110042735043 \tabularnewline
14 & 63.6 & 59.8975076969715 & 3.70249230302851 \tabularnewline
15 & 68.6 & 65.7553602552691 & 2.84463974473086 \tabularnewline
16 & 63.1 & 60.8739165966703 & 2.22608340332969 \tabularnewline
17 & 66.5 & 64.7818247357457 & 1.71817526425428 \tabularnewline
18 & 71.9 & 70.9247810112208 & 0.975218988779204 \tabularnewline
19 & 58.1 & 56.1921571732098 & 1.90784282679017 \tabularnewline
20 & 61.5 & 60.4189259033324 & 1.08107409666763 \tabularnewline
21 & 66.2 & 71.5610439616518 & -5.36104396165177 \tabularnewline
22 & 72.3 & 67.8676888178306 & 4.43231118216936 \tabularnewline
23 & 67 & 71.8350857334705 & -4.83508573347054 \tabularnewline
24 & 62.9 & 65.8588049785317 & -2.9588049785317 \tabularnewline
25 & 66.4 & 67.1430156635689 & -0.74301566356894 \tabularnewline
26 & 65.6 & 69.270905405345 & -3.67090540534501 \tabularnewline
27 & 70.9 & 73.7683579988529 & -2.86835799885286 \tabularnewline
28 & 68.4 & 67.8257154287993 & 0.574284571200707 \tabularnewline
29 & 66.4 & 71.3441657924959 & -4.94416579249587 \tabularnewline
30 & 67.6 & 76.2274982313673 & -8.62749823136733 \tabularnewline
31 & 64.1 & 60.0604877419408 & 4.03951225805924 \tabularnewline
32 & 62.1 & 64.4096894754142 & -2.30968947541421 \tabularnewline
33 & 70 & 73.6900819999215 & -3.69008199992155 \tabularnewline
34 & 74.4 & 72.0931111058362 & 2.30688889416379 \tabularnewline
35 & 67 & 73.855505089559 & -6.85550508955896 \tabularnewline
36 & 64.8 & 67.8397746511608 & -3.03977465116084 \tabularnewline
37 & 70.7 & 69.4625547875146 & 1.23744521248544 \tabularnewline
38 & 64 & 71.2722155069896 & -7.27221550698957 \tabularnewline
39 & 72.5 & 75.2635034803546 & -2.76350348035459 \tabularnewline
40 & 70.4 & 69.9226098603784 & 0.477390139621647 \tabularnewline
41 & 63.6 & 72.2780658303741 & -8.67806583037413 \tabularnewline
42 & 69.8 & 75.7572701338203 & -5.95727013382034 \tabularnewline
43 & 67.7 & 62.3853840943942 & 5.31461590560576 \tabularnewline
44 & 66.4 & 65.6327131959509 & 0.767286804049078 \tabularnewline
45 & 78.9 & 75.0699297660679 & 3.83007023393212 \tabularnewline
46 & 79.9 & 75.7911501052823 & 4.10884989471774 \tabularnewline
47 & 69.1 & 76.0247245720571 & -6.92472457205713 \tabularnewline
48 & 81.2 & 70.6867694259844 & 10.5132305740157 \tabularnewline
49 & 66 & 75.3070256278315 & -9.30702562783149 \tabularnewline
50 & 71.8 & 73.7315327560179 & -1.93153275601787 \tabularnewline
51 & 86.1 & 79.4279748687658 & 6.67202513123421 \tabularnewline
52 & 76.1 & 76.2314615246623 & -0.131461524662271 \tabularnewline
53 & 70.5 & 76.7148091111213 & -6.2148091111213 \tabularnewline
54 & 83.3 & 81.1188179729722 & 2.18118202702776 \tabularnewline
55 & 74.8 & 71.2601286956044 & 3.53987130439556 \tabularnewline
56 & 73.4 & 73.3607527333682 & 0.0392472666318042 \tabularnewline
57 & 86.5 & 83.2889674055863 & 3.21103259441367 \tabularnewline
58 & 82 & 83.9790799321699 & -1.97907993216991 \tabularnewline
59 & 80.8 & 81.0979862000435 & -0.297986200043468 \tabularnewline
60 & 91.5 & 80.2146882974022 & 11.2853117025978 \tabularnewline
61 & 77 & 81.1467436335805 & -4.14674363358053 \tabularnewline
62 & 72.3 & 81.8599362875669 & -9.5599362875669 \tabularnewline
63 & 83.5 & 88.0014914272368 & -4.50149142723683 \tabularnewline
64 & 79 & 81.6721351461452 & -2.67213514614521 \tabularnewline
65 & 76.7 & 80.5467727796878 & -3.84677277968777 \tabularnewline
66 & 83.1 & 86.9378880063042 & -3.83788800630417 \tabularnewline
67 & 71.1 & 76.3388232590513 & -5.23882325905129 \tabularnewline
68 & 75.5 & 76.2925140415119 & -0.792514041511936 \tabularnewline
69 & 90.9 & 86.6422004575631 & 4.25779954243694 \tabularnewline
70 & 85.4 & 86.4430977259521 & -1.04309772595212 \tabularnewline
71 & 84.8 & 83.9853850494214 & 0.814614950578573 \tabularnewline
72 & 83.8 & 85.4706661930653 & -1.67066619306533 \tabularnewline
73 & 79.3 & 81.2489300025067 & -1.94893000250674 \tabularnewline
74 & 79.9 & 81.192942640412 & -1.29294264041204 \tabularnewline
75 & 93 & 89.5887423223075 & 3.41125767769253 \tabularnewline
76 & 78.1 & 84.8527537569543 & -6.75275375695431 \tabularnewline
77 & 82.3 & 82.7965338292867 & -0.496533829286733 \tabularnewline
78 & 87.3 & 89.6918815686332 & -2.39188156863322 \tabularnewline
79 & 74.6 & 79.021347087635 & -4.42134708763496 \tabularnewline
80 & 80 & 79.9344992085342 & 0.065500791465837 \tabularnewline
81 & 91.3 & 91.3691260591478 & -0.0691260591477629 \tabularnewline
82 & 94.2 & 89.4074637140723 & 4.79253628592775 \tabularnewline
83 & 90.9 & 88.2238223493366 & 2.67617765066342 \tabularnewline
84 & 88 & 89.5079999249368 & -1.50799992493675 \tabularnewline
85 & 81.6 & 85.2383098456106 & -3.63830984561056 \tabularnewline
86 & 77.4 & 85.012077562014 & -7.61207756201399 \tabularnewline
87 & 91 & 93.2575818996972 & -2.25758189969717 \tabularnewline
88 & 79.9 & 85.5878618627287 & -5.6878618627287 \tabularnewline
89 & 83.4 & 84.859672842405 & -1.45967284240497 \tabularnewline
90 & 91.6 & 91.1781781685153 & 0.421821831484664 \tabularnewline
91 & 85.2 & 80.5208747691727 & 4.6791252308273 \tabularnewline
92 & 84.1 & 83.7434215817117 & 0.356578418288294 \tabularnewline
93 & 87 & 95.1750331444206 & -8.17503314442058 \tabularnewline
94 & 92.8 & 92.8017393121095 & -0.00173931210953526 \tabularnewline
95 & 89.2 & 90.3792364005213 & -1.17923640052128 \tabularnewline
96 & 87.3 & 90.1663131200779 & -2.86631312007786 \tabularnewline
97 & 89.5 & 85.1954903064978 & 4.30450969350215 \tabularnewline
98 & 86.8 & 85.4314271649189 & 1.36857283508107 \tabularnewline
99 & 92 & 96.1323986141178 & -4.1323986141178 \tabularnewline
100 & 92.2 & 87.4657053872559 & 4.73429461274408 \tabularnewline
101 & 86.4 & 89.2296030876797 & -2.8296030876797 \tabularnewline
102 & 92.9 & 95.6824190536365 & -2.78241905363652 \tabularnewline
103 & 91.2 & 85.314721957064 & 5.88527804293598 \tabularnewline
104 & 80.3 & 87.882568073298 & -7.58256807329796 \tabularnewline
105 & 102 & 96.3514891985481 & 5.64851080145193 \tabularnewline
106 & 99 & 97.7874954445253 & 1.21250455547469 \tabularnewline
107 & 89.2 & 95.3377020102121 & -6.13770201021208 \tabularnewline
108 & 103 & 93.9913168622325 & 9.00868313776755 \tabularnewline
109 & 80.4 & 92.3428562430721 & -11.9428562430721 \tabularnewline
110 & 83.4 & 89.3731325562356 & -5.97313255623556 \tabularnewline
111 & 97.6 & 97.789264936556 & -0.189264936556029 \tabularnewline
112 & 87 & 91.4437407546462 & -4.44374075464617 \tabularnewline
113 & 84.4 & 90.2146453077246 & -5.81464530772459 \tabularnewline
114 & 94.1 & 96.1360577548254 & -2.03605775482545 \tabularnewline
115 & 88.9 & 87.5064660462188 & 1.39353395378124 \tabularnewline
116 & 82.3 & 86.6782809152191 & -4.37828091521907 \tabularnewline
117 & 94.7 & 98.1601753119169 & -3.46017531191694 \tabularnewline
118 & 94.5 & 97.1864526556017 & -2.68645265560173 \tabularnewline
119 & 91.6 & 92.5933875001551 & -0.993387500155123 \tabularnewline
120 & 96.8 & 94.9226576663054 & 1.87734233369459 \tabularnewline
121 & 87.9 & 87.9759832470828 & -0.0759832470827888 \tabularnewline
122 & 99.9 & 88.0040097828154 & 11.8959902171846 \tabularnewline
123 & 109.5 & 100.395349294304 & 9.10465070569647 \tabularnewline
124 & 91.2 & 94.7265438506919 & -3.52654385069185 \tabularnewline
125 & 89.4 & 93.3836611982712 & -3.98366119827116 \tabularnewline
126 & 109.7 & 100.338558555381 & 9.36144144461873 \tabularnewline
127 & 96.9 & 94.2462510256673 & 2.65374897433274 \tabularnewline
128 & 94.1 & 92.5461991293881 & 1.55380087061189 \tabularnewline
129 & 104.4 & 105.217507686317 & -0.817507686316759 \tabularnewline
130 & 100.8 & 104.881883052669 & -4.08188305266906 \tabularnewline
131 & 107.4 & 100.450142484579 & 6.94985751542069 \tabularnewline
132 & 108.9 & 104.694005830538 & 4.20599416946219 \tabularnewline
133 & 95.2 & 97.83054601504 & -2.63054601504003 \tabularnewline
134 & 102.7 & 99.8395722952482 & 2.8604277047518 \tabularnewline
135 & 130.9 & 110.290650164961 & 20.609349835039 \tabularnewline
136 & 104 & 104.120080549516 & -0.12008054951589 \tabularnewline
137 & 106.5 & 103.331854445112 & 3.16814555488813 \tabularnewline
138 & 106.1 & 114.131128643327 & -8.03112864332709 \tabularnewline
139 & 97.8 & 104.006603285148 & -6.20660328514843 \tabularnewline
140 & 112.2 & 100.710672616063 & 11.489327383937 \tabularnewline
141 & 114.5 & 114.59549711639 & -0.0954971163901916 \tabularnewline
142 & 105.8 & 113.817564451716 & -8.0175644517162 \tabularnewline
143 & 101 & 110.945773405933 & -9.94577340593348 \tabularnewline
144 & 101.2 & 111.954729038672 & -10.7547290386724 \tabularnewline
145 & 96.5 & 101.338775533366 & -4.83877553336598 \tabularnewline
146 & 99.5 & 104.027758193224 & -4.52775819322413 \tabularnewline
147 & 123.8 & 116.674067027043 & 7.12593297295719 \tabularnewline
148 & 94.6 & 104.244639820197 & -9.64463982019689 \tabularnewline
149 & 95.8 & 102.453254777733 & -6.65325477773301 \tabularnewline
150 & 105.4 & 109.376184082572 & -3.9761840825721 \tabularnewline
151 & 104.4 & 100.139579409679 & 4.26042059032144 \tabularnewline
152 & 105.2 & 101.859569051204 & 3.34043094879566 \tabularnewline
153 & 112.7 & 112.079486154859 & 0.620513845140863 \tabularnewline
154 & 114.8 & 109.775293121934 & 5.02470687806589 \tabularnewline
155 & 108.9 & 108.556022980267 & 0.343977019733003 \tabularnewline
156 & 103.8 & 111.016602593708 & -7.21660259370782 \tabularnewline
157 & 102.5 & 102.072883699285 & 0.42711630071463 \tabularnewline
158 & 98.1 & 105.642812187731 & -7.54281218773082 \tabularnewline
159 & 118.2 & 120.019846746735 & -1.81984674673521 \tabularnewline
160 & 114.8 & 102.848458306317 & 11.951541693683 \tabularnewline
161 & 109.9 & 105.113008775717 & 4.78699122428259 \tabularnewline
162 & 116.7 & 114.423546138509 & 2.27645386149109 \tabularnewline
163 & 116.9 & 107.828988354823 & 9.07101164517724 \tabularnewline
164 & 104.4 & 110.201188985018 & -5.8011889850183 \tabularnewline
165 & 113.5 & 118.453072865922 & -4.95307286592218 \tabularnewline
166 & 123.8 & 116.118563608037 & 7.68143639196323 \tabularnewline
167 & 116.4 & 114.446487960394 & 1.95351203960597 \tabularnewline
168 & 114.1 & 115.732997290402 & -1.63299729040224 \tabularnewline
169 & 102.8 & 109.208756037648 & -6.40875603764812 \tabularnewline
170 & 112.7 & 110.161015886959 & 2.5389841130407 \tabularnewline
171 & 121.1 & 127.31966575522 & -6.21966575522039 \tabularnewline
172 & 120.8 & 112.139963104852 & 8.6600368951478 \tabularnewline
173 & 117.8 & 112.519942986573 & 5.28005701342697 \tabularnewline
174 & 130.4 & 121.456703173409 & 8.94329682659053 \tabularnewline
175 & 110.9 & 117.299074547775 & -6.39907454777497 \tabularnewline
176 & 105.4 & 114.312648465519 & -8.91264846551883 \tabularnewline
177 & 137.6 & 122.228301675895 & 15.3716983241052 \tabularnewline
178 & 133.3 & 125.665367502484 & 7.63463249751605 \tabularnewline
179 & 123.3 & 122.932137297706 & 0.367862702294133 \tabularnewline
180 & 122.8 & 123.319267793383 & -0.51926779338342 \tabularnewline
181 & 110.2 & 116.103750601313 & -5.90375060131275 \tabularnewline
182 & 101.4 & 118.920356232213 & -17.5203562322131 \tabularnewline
183 & 128.7 & 131.154928545808 & -2.4549285458076 \tabularnewline
184 & 120.6 & 119.46963367726 & 1.13036632274029 \tabularnewline
185 & 110.1 & 117.975016958528 & -7.87501695852825 \tabularnewline
186 & 121.6 & 125.457950144617 & -3.8579501446174 \tabularnewline
187 & 113 & 116.19728105025 & -3.19728105025 \tabularnewline
188 & 115.9 & 113.174987395116 & 2.72501260488362 \tabularnewline
189 & 131.1 & 127.623829645679 & 3.47617035432056 \tabularnewline
190 & 127.4 & 127.581339221709 & -0.181339221709436 \tabularnewline
191 & 123.9 & 122.096926248404 & 1.80307375159623 \tabularnewline
192 & 120.8 & 122.460741866885 & -1.660741866885 \tabularnewline
193 & 108.5 & 113.934420908806 & -5.434420908806 \tabularnewline
194 & 112.9 & 114.496536379827 & -1.59653637982726 \tabularnewline
195 & 129.6 & 132.165577985125 & -2.56557798512509 \tabularnewline
196 & 121.3 & 121.111122366294 & 0.188877633705502 \tabularnewline
197 & 119.1 & 117.67751589204 & 1.42248410795975 \tabularnewline
198 & 140.8 & 127.412651628174 & 13.387348371826 \tabularnewline
199 & 127.4 & 121.080836228671 & 6.31916377132934 \tabularnewline
200 & 128.1 & 120.783034399054 & 7.31696560094633 \tabularnewline
201 & 136.6 & 136.174955647591 & 0.425044352408776 \tabularnewline
202 & 126.5 & 134.983668778091 & -8.48366877809087 \tabularnewline
203 & 120.8 & 128.573173719159 & -7.77317371915912 \tabularnewline
204 & 144.3 & 126.727948127169 & 17.5720518728306 \tabularnewline
205 & 116 & 120.625664402945 & -4.62566440294475 \tabularnewline
206 & 123.4 & 122.115380993398 & 1.28461900660157 \tabularnewline
207 & 138.6 & 140.124394110423 & -1.52439411042297 \tabularnewline
208 & 118.3 & 129.835679056628 & -11.535679056628 \tabularnewline
209 & 124.2 & 124.786111621812 & -0.586111621811853 \tabularnewline
210 & 136 & 136.540289449761 & -0.540289449761417 \tabularnewline
211 & 127.4 & 126.59191764664 & 0.808082353360007 \tabularnewline
212 & 131.6 & 125.578983738842 & 6.02101626115783 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309986&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]61.2[/C][C]56.8288995726496[/C][C]4.37110042735043[/C][/ROW]
[ROW][C]14[/C][C]63.6[/C][C]59.8975076969715[/C][C]3.70249230302851[/C][/ROW]
[ROW][C]15[/C][C]68.6[/C][C]65.7553602552691[/C][C]2.84463974473086[/C][/ROW]
[ROW][C]16[/C][C]63.1[/C][C]60.8739165966703[/C][C]2.22608340332969[/C][/ROW]
[ROW][C]17[/C][C]66.5[/C][C]64.7818247357457[/C][C]1.71817526425428[/C][/ROW]
[ROW][C]18[/C][C]71.9[/C][C]70.9247810112208[/C][C]0.975218988779204[/C][/ROW]
[ROW][C]19[/C][C]58.1[/C][C]56.1921571732098[/C][C]1.90784282679017[/C][/ROW]
[ROW][C]20[/C][C]61.5[/C][C]60.4189259033324[/C][C]1.08107409666763[/C][/ROW]
[ROW][C]21[/C][C]66.2[/C][C]71.5610439616518[/C][C]-5.36104396165177[/C][/ROW]
[ROW][C]22[/C][C]72.3[/C][C]67.8676888178306[/C][C]4.43231118216936[/C][/ROW]
[ROW][C]23[/C][C]67[/C][C]71.8350857334705[/C][C]-4.83508573347054[/C][/ROW]
[ROW][C]24[/C][C]62.9[/C][C]65.8588049785317[/C][C]-2.9588049785317[/C][/ROW]
[ROW][C]25[/C][C]66.4[/C][C]67.1430156635689[/C][C]-0.74301566356894[/C][/ROW]
[ROW][C]26[/C][C]65.6[/C][C]69.270905405345[/C][C]-3.67090540534501[/C][/ROW]
[ROW][C]27[/C][C]70.9[/C][C]73.7683579988529[/C][C]-2.86835799885286[/C][/ROW]
[ROW][C]28[/C][C]68.4[/C][C]67.8257154287993[/C][C]0.574284571200707[/C][/ROW]
[ROW][C]29[/C][C]66.4[/C][C]71.3441657924959[/C][C]-4.94416579249587[/C][/ROW]
[ROW][C]30[/C][C]67.6[/C][C]76.2274982313673[/C][C]-8.62749823136733[/C][/ROW]
[ROW][C]31[/C][C]64.1[/C][C]60.0604877419408[/C][C]4.03951225805924[/C][/ROW]
[ROW][C]32[/C][C]62.1[/C][C]64.4096894754142[/C][C]-2.30968947541421[/C][/ROW]
[ROW][C]33[/C][C]70[/C][C]73.6900819999215[/C][C]-3.69008199992155[/C][/ROW]
[ROW][C]34[/C][C]74.4[/C][C]72.0931111058362[/C][C]2.30688889416379[/C][/ROW]
[ROW][C]35[/C][C]67[/C][C]73.855505089559[/C][C]-6.85550508955896[/C][/ROW]
[ROW][C]36[/C][C]64.8[/C][C]67.8397746511608[/C][C]-3.03977465116084[/C][/ROW]
[ROW][C]37[/C][C]70.7[/C][C]69.4625547875146[/C][C]1.23744521248544[/C][/ROW]
[ROW][C]38[/C][C]64[/C][C]71.2722155069896[/C][C]-7.27221550698957[/C][/ROW]
[ROW][C]39[/C][C]72.5[/C][C]75.2635034803546[/C][C]-2.76350348035459[/C][/ROW]
[ROW][C]40[/C][C]70.4[/C][C]69.9226098603784[/C][C]0.477390139621647[/C][/ROW]
[ROW][C]41[/C][C]63.6[/C][C]72.2780658303741[/C][C]-8.67806583037413[/C][/ROW]
[ROW][C]42[/C][C]69.8[/C][C]75.7572701338203[/C][C]-5.95727013382034[/C][/ROW]
[ROW][C]43[/C][C]67.7[/C][C]62.3853840943942[/C][C]5.31461590560576[/C][/ROW]
[ROW][C]44[/C][C]66.4[/C][C]65.6327131959509[/C][C]0.767286804049078[/C][/ROW]
[ROW][C]45[/C][C]78.9[/C][C]75.0699297660679[/C][C]3.83007023393212[/C][/ROW]
[ROW][C]46[/C][C]79.9[/C][C]75.7911501052823[/C][C]4.10884989471774[/C][/ROW]
[ROW][C]47[/C][C]69.1[/C][C]76.0247245720571[/C][C]-6.92472457205713[/C][/ROW]
[ROW][C]48[/C][C]81.2[/C][C]70.6867694259844[/C][C]10.5132305740157[/C][/ROW]
[ROW][C]49[/C][C]66[/C][C]75.3070256278315[/C][C]-9.30702562783149[/C][/ROW]
[ROW][C]50[/C][C]71.8[/C][C]73.7315327560179[/C][C]-1.93153275601787[/C][/ROW]
[ROW][C]51[/C][C]86.1[/C][C]79.4279748687658[/C][C]6.67202513123421[/C][/ROW]
[ROW][C]52[/C][C]76.1[/C][C]76.2314615246623[/C][C]-0.131461524662271[/C][/ROW]
[ROW][C]53[/C][C]70.5[/C][C]76.7148091111213[/C][C]-6.2148091111213[/C][/ROW]
[ROW][C]54[/C][C]83.3[/C][C]81.1188179729722[/C][C]2.18118202702776[/C][/ROW]
[ROW][C]55[/C][C]74.8[/C][C]71.2601286956044[/C][C]3.53987130439556[/C][/ROW]
[ROW][C]56[/C][C]73.4[/C][C]73.3607527333682[/C][C]0.0392472666318042[/C][/ROW]
[ROW][C]57[/C][C]86.5[/C][C]83.2889674055863[/C][C]3.21103259441367[/C][/ROW]
[ROW][C]58[/C][C]82[/C][C]83.9790799321699[/C][C]-1.97907993216991[/C][/ROW]
[ROW][C]59[/C][C]80.8[/C][C]81.0979862000435[/C][C]-0.297986200043468[/C][/ROW]
[ROW][C]60[/C][C]91.5[/C][C]80.2146882974022[/C][C]11.2853117025978[/C][/ROW]
[ROW][C]61[/C][C]77[/C][C]81.1467436335805[/C][C]-4.14674363358053[/C][/ROW]
[ROW][C]62[/C][C]72.3[/C][C]81.8599362875669[/C][C]-9.5599362875669[/C][/ROW]
[ROW][C]63[/C][C]83.5[/C][C]88.0014914272368[/C][C]-4.50149142723683[/C][/ROW]
[ROW][C]64[/C][C]79[/C][C]81.6721351461452[/C][C]-2.67213514614521[/C][/ROW]
[ROW][C]65[/C][C]76.7[/C][C]80.5467727796878[/C][C]-3.84677277968777[/C][/ROW]
[ROW][C]66[/C][C]83.1[/C][C]86.9378880063042[/C][C]-3.83788800630417[/C][/ROW]
[ROW][C]67[/C][C]71.1[/C][C]76.3388232590513[/C][C]-5.23882325905129[/C][/ROW]
[ROW][C]68[/C][C]75.5[/C][C]76.2925140415119[/C][C]-0.792514041511936[/C][/ROW]
[ROW][C]69[/C][C]90.9[/C][C]86.6422004575631[/C][C]4.25779954243694[/C][/ROW]
[ROW][C]70[/C][C]85.4[/C][C]86.4430977259521[/C][C]-1.04309772595212[/C][/ROW]
[ROW][C]71[/C][C]84.8[/C][C]83.9853850494214[/C][C]0.814614950578573[/C][/ROW]
[ROW][C]72[/C][C]83.8[/C][C]85.4706661930653[/C][C]-1.67066619306533[/C][/ROW]
[ROW][C]73[/C][C]79.3[/C][C]81.2489300025067[/C][C]-1.94893000250674[/C][/ROW]
[ROW][C]74[/C][C]79.9[/C][C]81.192942640412[/C][C]-1.29294264041204[/C][/ROW]
[ROW][C]75[/C][C]93[/C][C]89.5887423223075[/C][C]3.41125767769253[/C][/ROW]
[ROW][C]76[/C][C]78.1[/C][C]84.8527537569543[/C][C]-6.75275375695431[/C][/ROW]
[ROW][C]77[/C][C]82.3[/C][C]82.7965338292867[/C][C]-0.496533829286733[/C][/ROW]
[ROW][C]78[/C][C]87.3[/C][C]89.6918815686332[/C][C]-2.39188156863322[/C][/ROW]
[ROW][C]79[/C][C]74.6[/C][C]79.021347087635[/C][C]-4.42134708763496[/C][/ROW]
[ROW][C]80[/C][C]80[/C][C]79.9344992085342[/C][C]0.065500791465837[/C][/ROW]
[ROW][C]81[/C][C]91.3[/C][C]91.3691260591478[/C][C]-0.0691260591477629[/C][/ROW]
[ROW][C]82[/C][C]94.2[/C][C]89.4074637140723[/C][C]4.79253628592775[/C][/ROW]
[ROW][C]83[/C][C]90.9[/C][C]88.2238223493366[/C][C]2.67617765066342[/C][/ROW]
[ROW][C]84[/C][C]88[/C][C]89.5079999249368[/C][C]-1.50799992493675[/C][/ROW]
[ROW][C]85[/C][C]81.6[/C][C]85.2383098456106[/C][C]-3.63830984561056[/C][/ROW]
[ROW][C]86[/C][C]77.4[/C][C]85.012077562014[/C][C]-7.61207756201399[/C][/ROW]
[ROW][C]87[/C][C]91[/C][C]93.2575818996972[/C][C]-2.25758189969717[/C][/ROW]
[ROW][C]88[/C][C]79.9[/C][C]85.5878618627287[/C][C]-5.6878618627287[/C][/ROW]
[ROW][C]89[/C][C]83.4[/C][C]84.859672842405[/C][C]-1.45967284240497[/C][/ROW]
[ROW][C]90[/C][C]91.6[/C][C]91.1781781685153[/C][C]0.421821831484664[/C][/ROW]
[ROW][C]91[/C][C]85.2[/C][C]80.5208747691727[/C][C]4.6791252308273[/C][/ROW]
[ROW][C]92[/C][C]84.1[/C][C]83.7434215817117[/C][C]0.356578418288294[/C][/ROW]
[ROW][C]93[/C][C]87[/C][C]95.1750331444206[/C][C]-8.17503314442058[/C][/ROW]
[ROW][C]94[/C][C]92.8[/C][C]92.8017393121095[/C][C]-0.00173931210953526[/C][/ROW]
[ROW][C]95[/C][C]89.2[/C][C]90.3792364005213[/C][C]-1.17923640052128[/C][/ROW]
[ROW][C]96[/C][C]87.3[/C][C]90.1663131200779[/C][C]-2.86631312007786[/C][/ROW]
[ROW][C]97[/C][C]89.5[/C][C]85.1954903064978[/C][C]4.30450969350215[/C][/ROW]
[ROW][C]98[/C][C]86.8[/C][C]85.4314271649189[/C][C]1.36857283508107[/C][/ROW]
[ROW][C]99[/C][C]92[/C][C]96.1323986141178[/C][C]-4.1323986141178[/C][/ROW]
[ROW][C]100[/C][C]92.2[/C][C]87.4657053872559[/C][C]4.73429461274408[/C][/ROW]
[ROW][C]101[/C][C]86.4[/C][C]89.2296030876797[/C][C]-2.8296030876797[/C][/ROW]
[ROW][C]102[/C][C]92.9[/C][C]95.6824190536365[/C][C]-2.78241905363652[/C][/ROW]
[ROW][C]103[/C][C]91.2[/C][C]85.314721957064[/C][C]5.88527804293598[/C][/ROW]
[ROW][C]104[/C][C]80.3[/C][C]87.882568073298[/C][C]-7.58256807329796[/C][/ROW]
[ROW][C]105[/C][C]102[/C][C]96.3514891985481[/C][C]5.64851080145193[/C][/ROW]
[ROW][C]106[/C][C]99[/C][C]97.7874954445253[/C][C]1.21250455547469[/C][/ROW]
[ROW][C]107[/C][C]89.2[/C][C]95.3377020102121[/C][C]-6.13770201021208[/C][/ROW]
[ROW][C]108[/C][C]103[/C][C]93.9913168622325[/C][C]9.00868313776755[/C][/ROW]
[ROW][C]109[/C][C]80.4[/C][C]92.3428562430721[/C][C]-11.9428562430721[/C][/ROW]
[ROW][C]110[/C][C]83.4[/C][C]89.3731325562356[/C][C]-5.97313255623556[/C][/ROW]
[ROW][C]111[/C][C]97.6[/C][C]97.789264936556[/C][C]-0.189264936556029[/C][/ROW]
[ROW][C]112[/C][C]87[/C][C]91.4437407546462[/C][C]-4.44374075464617[/C][/ROW]
[ROW][C]113[/C][C]84.4[/C][C]90.2146453077246[/C][C]-5.81464530772459[/C][/ROW]
[ROW][C]114[/C][C]94.1[/C][C]96.1360577548254[/C][C]-2.03605775482545[/C][/ROW]
[ROW][C]115[/C][C]88.9[/C][C]87.5064660462188[/C][C]1.39353395378124[/C][/ROW]
[ROW][C]116[/C][C]82.3[/C][C]86.6782809152191[/C][C]-4.37828091521907[/C][/ROW]
[ROW][C]117[/C][C]94.7[/C][C]98.1601753119169[/C][C]-3.46017531191694[/C][/ROW]
[ROW][C]118[/C][C]94.5[/C][C]97.1864526556017[/C][C]-2.68645265560173[/C][/ROW]
[ROW][C]119[/C][C]91.6[/C][C]92.5933875001551[/C][C]-0.993387500155123[/C][/ROW]
[ROW][C]120[/C][C]96.8[/C][C]94.9226576663054[/C][C]1.87734233369459[/C][/ROW]
[ROW][C]121[/C][C]87.9[/C][C]87.9759832470828[/C][C]-0.0759832470827888[/C][/ROW]
[ROW][C]122[/C][C]99.9[/C][C]88.0040097828154[/C][C]11.8959902171846[/C][/ROW]
[ROW][C]123[/C][C]109.5[/C][C]100.395349294304[/C][C]9.10465070569647[/C][/ROW]
[ROW][C]124[/C][C]91.2[/C][C]94.7265438506919[/C][C]-3.52654385069185[/C][/ROW]
[ROW][C]125[/C][C]89.4[/C][C]93.3836611982712[/C][C]-3.98366119827116[/C][/ROW]
[ROW][C]126[/C][C]109.7[/C][C]100.338558555381[/C][C]9.36144144461873[/C][/ROW]
[ROW][C]127[/C][C]96.9[/C][C]94.2462510256673[/C][C]2.65374897433274[/C][/ROW]
[ROW][C]128[/C][C]94.1[/C][C]92.5461991293881[/C][C]1.55380087061189[/C][/ROW]
[ROW][C]129[/C][C]104.4[/C][C]105.217507686317[/C][C]-0.817507686316759[/C][/ROW]
[ROW][C]130[/C][C]100.8[/C][C]104.881883052669[/C][C]-4.08188305266906[/C][/ROW]
[ROW][C]131[/C][C]107.4[/C][C]100.450142484579[/C][C]6.94985751542069[/C][/ROW]
[ROW][C]132[/C][C]108.9[/C][C]104.694005830538[/C][C]4.20599416946219[/C][/ROW]
[ROW][C]133[/C][C]95.2[/C][C]97.83054601504[/C][C]-2.63054601504003[/C][/ROW]
[ROW][C]134[/C][C]102.7[/C][C]99.8395722952482[/C][C]2.8604277047518[/C][/ROW]
[ROW][C]135[/C][C]130.9[/C][C]110.290650164961[/C][C]20.609349835039[/C][/ROW]
[ROW][C]136[/C][C]104[/C][C]104.120080549516[/C][C]-0.12008054951589[/C][/ROW]
[ROW][C]137[/C][C]106.5[/C][C]103.331854445112[/C][C]3.16814555488813[/C][/ROW]
[ROW][C]138[/C][C]106.1[/C][C]114.131128643327[/C][C]-8.03112864332709[/C][/ROW]
[ROW][C]139[/C][C]97.8[/C][C]104.006603285148[/C][C]-6.20660328514843[/C][/ROW]
[ROW][C]140[/C][C]112.2[/C][C]100.710672616063[/C][C]11.489327383937[/C][/ROW]
[ROW][C]141[/C][C]114.5[/C][C]114.59549711639[/C][C]-0.0954971163901916[/C][/ROW]
[ROW][C]142[/C][C]105.8[/C][C]113.817564451716[/C][C]-8.0175644517162[/C][/ROW]
[ROW][C]143[/C][C]101[/C][C]110.945773405933[/C][C]-9.94577340593348[/C][/ROW]
[ROW][C]144[/C][C]101.2[/C][C]111.954729038672[/C][C]-10.7547290386724[/C][/ROW]
[ROW][C]145[/C][C]96.5[/C][C]101.338775533366[/C][C]-4.83877553336598[/C][/ROW]
[ROW][C]146[/C][C]99.5[/C][C]104.027758193224[/C][C]-4.52775819322413[/C][/ROW]
[ROW][C]147[/C][C]123.8[/C][C]116.674067027043[/C][C]7.12593297295719[/C][/ROW]
[ROW][C]148[/C][C]94.6[/C][C]104.244639820197[/C][C]-9.64463982019689[/C][/ROW]
[ROW][C]149[/C][C]95.8[/C][C]102.453254777733[/C][C]-6.65325477773301[/C][/ROW]
[ROW][C]150[/C][C]105.4[/C][C]109.376184082572[/C][C]-3.9761840825721[/C][/ROW]
[ROW][C]151[/C][C]104.4[/C][C]100.139579409679[/C][C]4.26042059032144[/C][/ROW]
[ROW][C]152[/C][C]105.2[/C][C]101.859569051204[/C][C]3.34043094879566[/C][/ROW]
[ROW][C]153[/C][C]112.7[/C][C]112.079486154859[/C][C]0.620513845140863[/C][/ROW]
[ROW][C]154[/C][C]114.8[/C][C]109.775293121934[/C][C]5.02470687806589[/C][/ROW]
[ROW][C]155[/C][C]108.9[/C][C]108.556022980267[/C][C]0.343977019733003[/C][/ROW]
[ROW][C]156[/C][C]103.8[/C][C]111.016602593708[/C][C]-7.21660259370782[/C][/ROW]
[ROW][C]157[/C][C]102.5[/C][C]102.072883699285[/C][C]0.42711630071463[/C][/ROW]
[ROW][C]158[/C][C]98.1[/C][C]105.642812187731[/C][C]-7.54281218773082[/C][/ROW]
[ROW][C]159[/C][C]118.2[/C][C]120.019846746735[/C][C]-1.81984674673521[/C][/ROW]
[ROW][C]160[/C][C]114.8[/C][C]102.848458306317[/C][C]11.951541693683[/C][/ROW]
[ROW][C]161[/C][C]109.9[/C][C]105.113008775717[/C][C]4.78699122428259[/C][/ROW]
[ROW][C]162[/C][C]116.7[/C][C]114.423546138509[/C][C]2.27645386149109[/C][/ROW]
[ROW][C]163[/C][C]116.9[/C][C]107.828988354823[/C][C]9.07101164517724[/C][/ROW]
[ROW][C]164[/C][C]104.4[/C][C]110.201188985018[/C][C]-5.8011889850183[/C][/ROW]
[ROW][C]165[/C][C]113.5[/C][C]118.453072865922[/C][C]-4.95307286592218[/C][/ROW]
[ROW][C]166[/C][C]123.8[/C][C]116.118563608037[/C][C]7.68143639196323[/C][/ROW]
[ROW][C]167[/C][C]116.4[/C][C]114.446487960394[/C][C]1.95351203960597[/C][/ROW]
[ROW][C]168[/C][C]114.1[/C][C]115.732997290402[/C][C]-1.63299729040224[/C][/ROW]
[ROW][C]169[/C][C]102.8[/C][C]109.208756037648[/C][C]-6.40875603764812[/C][/ROW]
[ROW][C]170[/C][C]112.7[/C][C]110.161015886959[/C][C]2.5389841130407[/C][/ROW]
[ROW][C]171[/C][C]121.1[/C][C]127.31966575522[/C][C]-6.21966575522039[/C][/ROW]
[ROW][C]172[/C][C]120.8[/C][C]112.139963104852[/C][C]8.6600368951478[/C][/ROW]
[ROW][C]173[/C][C]117.8[/C][C]112.519942986573[/C][C]5.28005701342697[/C][/ROW]
[ROW][C]174[/C][C]130.4[/C][C]121.456703173409[/C][C]8.94329682659053[/C][/ROW]
[ROW][C]175[/C][C]110.9[/C][C]117.299074547775[/C][C]-6.39907454777497[/C][/ROW]
[ROW][C]176[/C][C]105.4[/C][C]114.312648465519[/C][C]-8.91264846551883[/C][/ROW]
[ROW][C]177[/C][C]137.6[/C][C]122.228301675895[/C][C]15.3716983241052[/C][/ROW]
[ROW][C]178[/C][C]133.3[/C][C]125.665367502484[/C][C]7.63463249751605[/C][/ROW]
[ROW][C]179[/C][C]123.3[/C][C]122.932137297706[/C][C]0.367862702294133[/C][/ROW]
[ROW][C]180[/C][C]122.8[/C][C]123.319267793383[/C][C]-0.51926779338342[/C][/ROW]
[ROW][C]181[/C][C]110.2[/C][C]116.103750601313[/C][C]-5.90375060131275[/C][/ROW]
[ROW][C]182[/C][C]101.4[/C][C]118.920356232213[/C][C]-17.5203562322131[/C][/ROW]
[ROW][C]183[/C][C]128.7[/C][C]131.154928545808[/C][C]-2.4549285458076[/C][/ROW]
[ROW][C]184[/C][C]120.6[/C][C]119.46963367726[/C][C]1.13036632274029[/C][/ROW]
[ROW][C]185[/C][C]110.1[/C][C]117.975016958528[/C][C]-7.87501695852825[/C][/ROW]
[ROW][C]186[/C][C]121.6[/C][C]125.457950144617[/C][C]-3.8579501446174[/C][/ROW]
[ROW][C]187[/C][C]113[/C][C]116.19728105025[/C][C]-3.19728105025[/C][/ROW]
[ROW][C]188[/C][C]115.9[/C][C]113.174987395116[/C][C]2.72501260488362[/C][/ROW]
[ROW][C]189[/C][C]131.1[/C][C]127.623829645679[/C][C]3.47617035432056[/C][/ROW]
[ROW][C]190[/C][C]127.4[/C][C]127.581339221709[/C][C]-0.181339221709436[/C][/ROW]
[ROW][C]191[/C][C]123.9[/C][C]122.096926248404[/C][C]1.80307375159623[/C][/ROW]
[ROW][C]192[/C][C]120.8[/C][C]122.460741866885[/C][C]-1.660741866885[/C][/ROW]
[ROW][C]193[/C][C]108.5[/C][C]113.934420908806[/C][C]-5.434420908806[/C][/ROW]
[ROW][C]194[/C][C]112.9[/C][C]114.496536379827[/C][C]-1.59653637982726[/C][/ROW]
[ROW][C]195[/C][C]129.6[/C][C]132.165577985125[/C][C]-2.56557798512509[/C][/ROW]
[ROW][C]196[/C][C]121.3[/C][C]121.111122366294[/C][C]0.188877633705502[/C][/ROW]
[ROW][C]197[/C][C]119.1[/C][C]117.67751589204[/C][C]1.42248410795975[/C][/ROW]
[ROW][C]198[/C][C]140.8[/C][C]127.412651628174[/C][C]13.387348371826[/C][/ROW]
[ROW][C]199[/C][C]127.4[/C][C]121.080836228671[/C][C]6.31916377132934[/C][/ROW]
[ROW][C]200[/C][C]128.1[/C][C]120.783034399054[/C][C]7.31696560094633[/C][/ROW]
[ROW][C]201[/C][C]136.6[/C][C]136.174955647591[/C][C]0.425044352408776[/C][/ROW]
[ROW][C]202[/C][C]126.5[/C][C]134.983668778091[/C][C]-8.48366877809087[/C][/ROW]
[ROW][C]203[/C][C]120.8[/C][C]128.573173719159[/C][C]-7.77317371915912[/C][/ROW]
[ROW][C]204[/C][C]144.3[/C][C]126.727948127169[/C][C]17.5720518728306[/C][/ROW]
[ROW][C]205[/C][C]116[/C][C]120.625664402945[/C][C]-4.62566440294475[/C][/ROW]
[ROW][C]206[/C][C]123.4[/C][C]122.115380993398[/C][C]1.28461900660157[/C][/ROW]
[ROW][C]207[/C][C]138.6[/C][C]140.124394110423[/C][C]-1.52439411042297[/C][/ROW]
[ROW][C]208[/C][C]118.3[/C][C]129.835679056628[/C][C]-11.535679056628[/C][/ROW]
[ROW][C]209[/C][C]124.2[/C][C]124.786111621812[/C][C]-0.586111621811853[/C][/ROW]
[ROW][C]210[/C][C]136[/C][C]136.540289449761[/C][C]-0.540289449761417[/C][/ROW]
[ROW][C]211[/C][C]127.4[/C][C]126.59191764664[/C][C]0.808082353360007[/C][/ROW]
[ROW][C]212[/C][C]131.6[/C][C]125.578983738842[/C][C]6.02101626115783[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309986&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309986&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
1361.256.82889957264964.37110042735043
1463.659.89750769697153.70249230302851
1568.665.75536025526912.84463974473086
1663.160.87391659667032.22608340332969
1766.564.78182473574571.71817526425428
1871.970.92478101122080.975218988779204
1958.156.19215717320981.90784282679017
2061.560.41892590333241.08107409666763
2166.271.5610439616518-5.36104396165177
2272.367.86768881783064.43231118216936
236771.8350857334705-4.83508573347054
2462.965.8588049785317-2.9588049785317
2566.467.1430156635689-0.74301566356894
2665.669.270905405345-3.67090540534501
2770.973.7683579988529-2.86835799885286
2868.467.82571542879930.574284571200707
2966.471.3441657924959-4.94416579249587
3067.676.2274982313673-8.62749823136733
3164.160.06048774194084.03951225805924
3262.164.4096894754142-2.30968947541421
337073.6900819999215-3.69008199992155
3474.472.09311110583622.30688889416379
356773.855505089559-6.85550508955896
3664.867.8397746511608-3.03977465116084
3770.769.46255478751461.23744521248544
386471.2722155069896-7.27221550698957
3972.575.2635034803546-2.76350348035459
4070.469.92260986037840.477390139621647
4163.672.2780658303741-8.67806583037413
4269.875.7572701338203-5.95727013382034
4367.762.38538409439425.31461590560576
4466.465.63271319595090.767286804049078
4578.975.06992976606793.83007023393212
4679.975.79115010528234.10884989471774
4769.176.0247245720571-6.92472457205713
4881.270.686769425984410.5132305740157
496675.3070256278315-9.30702562783149
5071.873.7315327560179-1.93153275601787
5186.179.42797486876586.67202513123421
5276.176.2314615246623-0.131461524662271
5370.576.7148091111213-6.2148091111213
5483.381.11881797297222.18118202702776
5574.871.26012869560443.53987130439556
5673.473.36075273336820.0392472666318042
5786.583.28896740558633.21103259441367
588283.9790799321699-1.97907993216991
5980.881.0979862000435-0.297986200043468
6091.580.214688297402211.2853117025978
617781.1467436335805-4.14674363358053
6272.381.8599362875669-9.5599362875669
6383.588.0014914272368-4.50149142723683
647981.6721351461452-2.67213514614521
6576.780.5467727796878-3.84677277968777
6683.186.9378880063042-3.83788800630417
6771.176.3388232590513-5.23882325905129
6875.576.2925140415119-0.792514041511936
6990.986.64220045756314.25779954243694
7085.486.4430977259521-1.04309772595212
7184.883.98538504942140.814614950578573
7283.885.4706661930653-1.67066619306533
7379.381.2489300025067-1.94893000250674
7479.981.192942640412-1.29294264041204
759389.58874232230753.41125767769253
7678.184.8527537569543-6.75275375695431
7782.382.7965338292867-0.496533829286733
7887.389.6918815686332-2.39188156863322
7974.679.021347087635-4.42134708763496
808079.93449920853420.065500791465837
8191.391.3691260591478-0.0691260591477629
8294.289.40746371407234.79253628592775
8390.988.22382234933662.67617765066342
848889.5079999249368-1.50799992493675
8581.685.2383098456106-3.63830984561056
8677.485.012077562014-7.61207756201399
879193.2575818996972-2.25758189969717
8879.985.5878618627287-5.6878618627287
8983.484.859672842405-1.45967284240497
9091.691.17817816851530.421821831484664
9185.280.52087476917274.6791252308273
9284.183.74342158171170.356578418288294
938795.1750331444206-8.17503314442058
9492.892.8017393121095-0.00173931210953526
9589.290.3792364005213-1.17923640052128
9687.390.1663131200779-2.86631312007786
9789.585.19549030649784.30450969350215
9886.885.43142716491891.36857283508107
999296.1323986141178-4.1323986141178
10092.287.46570538725594.73429461274408
10186.489.2296030876797-2.8296030876797
10292.995.6824190536365-2.78241905363652
10391.285.3147219570645.88527804293598
10480.387.882568073298-7.58256807329796
10510296.35148919854815.64851080145193
1069997.78749544452531.21250455547469
10789.295.3377020102121-6.13770201021208
10810393.99131686223259.00868313776755
10980.492.3428562430721-11.9428562430721
11083.489.3731325562356-5.97313255623556
11197.697.789264936556-0.189264936556029
1128791.4437407546462-4.44374075464617
11384.490.2146453077246-5.81464530772459
11494.196.1360577548254-2.03605775482545
11588.987.50646604621881.39353395378124
11682.386.6782809152191-4.37828091521907
11794.798.1601753119169-3.46017531191694
11894.597.1864526556017-2.68645265560173
11991.692.5933875001551-0.993387500155123
12096.894.92265766630541.87734233369459
12187.987.9759832470828-0.0759832470827888
12299.988.004009782815411.8959902171846
123109.5100.3953492943049.10465070569647
12491.294.7265438506919-3.52654385069185
12589.493.3836611982712-3.98366119827116
126109.7100.3385585553819.36144144461873
12796.994.24625102566732.65374897433274
12894.192.54619912938811.55380087061189
129104.4105.217507686317-0.817507686316759
130100.8104.881883052669-4.08188305266906
131107.4100.4501424845796.94985751542069
132108.9104.6940058305384.20599416946219
13395.297.83054601504-2.63054601504003
134102.799.83957229524822.8604277047518
135130.9110.29065016496120.609349835039
136104104.120080549516-0.12008054951589
137106.5103.3318544451123.16814555488813
138106.1114.131128643327-8.03112864332709
13997.8104.006603285148-6.20660328514843
140112.2100.71067261606311.489327383937
141114.5114.59549711639-0.0954971163901916
142105.8113.817564451716-8.0175644517162
143101110.945773405933-9.94577340593348
144101.2111.954729038672-10.7547290386724
14596.5101.338775533366-4.83877553336598
14699.5104.027758193224-4.52775819322413
147123.8116.6740670270437.12593297295719
14894.6104.244639820197-9.64463982019689
14995.8102.453254777733-6.65325477773301
150105.4109.376184082572-3.9761840825721
151104.4100.1395794096794.26042059032144
152105.2101.8595690512043.34043094879566
153112.7112.0794861548590.620513845140863
154114.8109.7752931219345.02470687806589
155108.9108.5560229802670.343977019733003
156103.8111.016602593708-7.21660259370782
157102.5102.0728836992850.42711630071463
15898.1105.642812187731-7.54281218773082
159118.2120.019846746735-1.81984674673521
160114.8102.84845830631711.951541693683
161109.9105.1130087757174.78699122428259
162116.7114.4235461385092.27645386149109
163116.9107.8289883548239.07101164517724
164104.4110.201188985018-5.8011889850183
165113.5118.453072865922-4.95307286592218
166123.8116.1185636080377.68143639196323
167116.4114.4464879603941.95351203960597
168114.1115.732997290402-1.63299729040224
169102.8109.208756037648-6.40875603764812
170112.7110.1610158869592.5389841130407
171121.1127.31966575522-6.21966575522039
172120.8112.1399631048528.6600368951478
173117.8112.5199429865735.28005701342697
174130.4121.4567031734098.94329682659053
175110.9117.299074547775-6.39907454777497
176105.4114.312648465519-8.91264846551883
177137.6122.22830167589515.3716983241052
178133.3125.6653675024847.63463249751605
179123.3122.9321372977060.367862702294133
180122.8123.319267793383-0.51926779338342
181110.2116.103750601313-5.90375060131275
182101.4118.920356232213-17.5203562322131
183128.7131.154928545808-2.4549285458076
184120.6119.469633677261.13036632274029
185110.1117.975016958528-7.87501695852825
186121.6125.457950144617-3.8579501446174
187113116.19728105025-3.19728105025
188115.9113.1749873951162.72501260488362
189131.1127.6238296456793.47617035432056
190127.4127.581339221709-0.181339221709436
191123.9122.0969262484041.80307375159623
192120.8122.460741866885-1.660741866885
193108.5113.934420908806-5.434420908806
194112.9114.496536379827-1.59653637982726
195129.6132.165577985125-2.56557798512509
196121.3121.1111223662940.188877633705502
197119.1117.677515892041.42248410795975
198140.8127.41265162817413.387348371826
199127.4121.0808362286716.31916377132934
200128.1120.7830343990547.31696560094633
201136.6136.1749556475910.425044352408776
202126.5134.983668778091-8.48366877809087
203120.8128.573173719159-7.77317371915912
204144.3126.72794812716917.5720518728306
205116120.625664402945-4.62566440294475
206123.4122.1153809933981.28461900660157
207138.6140.124394110423-1.52439411042297
208118.3129.835679056628-11.535679056628
209124.2124.786111621812-0.586111621811853
210136136.540289449761-0.540289449761417
211127.4126.591917646640.808082353360007
212131.6125.5789837388426.02101626115783







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213139.40694985989128.233031260927150.580868458854
214136.401191470071125.078448980097147.723933960044
215131.493137713342120.018887013992142.967388412692
216135.81713947758124.18873028777147.44554866739
217122.564722481453110.779538579866134.34990638304
218125.926741382028113.982200553063137.871282210992
219143.166872136102131.060426046313155.273318225891
220131.173923403637118.903057415359143.444789391915
221130.114675919887117.676908848409142.552442991366
222141.988340394626129.381224214914154.595456574337
223132.405210930671119.626330439288145.184091422053
224132.285039434169119.332011871672145.238066996665

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 139.40694985989 & 128.233031260927 & 150.580868458854 \tabularnewline
214 & 136.401191470071 & 125.078448980097 & 147.723933960044 \tabularnewline
215 & 131.493137713342 & 120.018887013992 & 142.967388412692 \tabularnewline
216 & 135.81713947758 & 124.18873028777 & 147.44554866739 \tabularnewline
217 & 122.564722481453 & 110.779538579866 & 134.34990638304 \tabularnewline
218 & 125.926741382028 & 113.982200553063 & 137.871282210992 \tabularnewline
219 & 143.166872136102 & 131.060426046313 & 155.273318225891 \tabularnewline
220 & 131.173923403637 & 118.903057415359 & 143.444789391915 \tabularnewline
221 & 130.114675919887 & 117.676908848409 & 142.552442991366 \tabularnewline
222 & 141.988340394626 & 129.381224214914 & 154.595456574337 \tabularnewline
223 & 132.405210930671 & 119.626330439288 & 145.184091422053 \tabularnewline
224 & 132.285039434169 & 119.332011871672 & 145.238066996665 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309986&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]139.40694985989[/C][C]128.233031260927[/C][C]150.580868458854[/C][/ROW]
[ROW][C]214[/C][C]136.401191470071[/C][C]125.078448980097[/C][C]147.723933960044[/C][/ROW]
[ROW][C]215[/C][C]131.493137713342[/C][C]120.018887013992[/C][C]142.967388412692[/C][/ROW]
[ROW][C]216[/C][C]135.81713947758[/C][C]124.18873028777[/C][C]147.44554866739[/C][/ROW]
[ROW][C]217[/C][C]122.564722481453[/C][C]110.779538579866[/C][C]134.34990638304[/C][/ROW]
[ROW][C]218[/C][C]125.926741382028[/C][C]113.982200553063[/C][C]137.871282210992[/C][/ROW]
[ROW][C]219[/C][C]143.166872136102[/C][C]131.060426046313[/C][C]155.273318225891[/C][/ROW]
[ROW][C]220[/C][C]131.173923403637[/C][C]118.903057415359[/C][C]143.444789391915[/C][/ROW]
[ROW][C]221[/C][C]130.114675919887[/C][C]117.676908848409[/C][C]142.552442991366[/C][/ROW]
[ROW][C]222[/C][C]141.988340394626[/C][C]129.381224214914[/C][C]154.595456574337[/C][/ROW]
[ROW][C]223[/C][C]132.405210930671[/C][C]119.626330439288[/C][C]145.184091422053[/C][/ROW]
[ROW][C]224[/C][C]132.285039434169[/C][C]119.332011871672[/C][C]145.238066996665[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309986&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309986&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
213139.40694985989128.233031260927150.580868458854
214136.401191470071125.078448980097147.723933960044
215131.493137713342120.018887013992142.967388412692
216135.81713947758124.18873028777147.44554866739
217122.564722481453110.779538579866134.34990638304
218125.926741382028113.982200553063137.871282210992
219143.166872136102131.060426046313155.273318225891
220131.173923403637118.903057415359143.444789391915
221130.114675919887117.676908848409142.552442991366
222141.988340394626129.381224214914154.595456574337
223132.405210930671119.626330439288145.184091422053
224132.285039434169119.332011871672145.238066996665



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 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')