Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 20 Aug 2009 00:45:21 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Aug/20/t1250750822anzpnegcepi39di.htm/, Retrieved Tue, 07 May 2024 14:59:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42968, Retrieved Tue, 07 May 2024 14:59:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact234
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [Opgave8,oef1 Will...] [2008-05-18 21:40:50] [084423af4948b207e09aa9a4255591e8]
- RMPD    [Exponential Smoothing] [Exponential smoot...] [2009-08-20 06:45:21] [768ad88abce8b6ce0be22cfe8ac9beaf] [Current]
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Dataseries X:
613.20
614.70
618.40
628.20
629.00
629.70
630.40
630.40
639.30
639.40
640.90
640.80
642.10
645.30
647.60
648.40
648.80
648.90
648.90
648.90
650.30
650.30
650.00
650.00
650.50
658.40
666.00
675.50
680.70
690.60
690.60
691.10
692.90
693.80
692.80
697.50
699.00
702.10
704.80
715.50
721.80
726.40
727.70
727.40
731.30
734.40
733.40
733.40
738.10
742.60
747.20
751.10
752.60
758.90
759.10
764.30
765.60
767.60
767.60
765.60
768.20
770.90
775.10
777.60
778.60
778.90
779.40
779.90
781.70
789.10
788.70
788.80
790.80
794.10
795.10
797.30
803.80
805.60
804.60
804.50
805.80
806.80
805.20
814.90
816.60
819.50
823.00
824.00
831.40
831.70
831.10
832.10
833.30
838.80
838.00
837.30
994.20
994.20
994.20
994.20
994.20
1092.60
1100.00
1100.00
1092.60
1000.70
1000.70
1000.50
1000.50
1000.50
1000.50
1000.50
1000.50
1087.70
1113.20
1116.00
1085.20
1031.30
1028.70
1027.50
1027.50
1027.50
1027.50
1027.50
1027.50
1152.20
1155.30
1154.00
1119.90
1079.30
1074.30
1069.80




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42968&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42968&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.85113803258568
beta0.000776052458181784
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.85113803258568 \tabularnewline
beta & 0.000776052458181784 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42968&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]0.85113803258568[/C][/ROW]
[ROW][C]beta[/C][C]0.000776052458181784[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42968&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
alpha0.85113803258568
beta0.000776052458181784
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13642.1631.01899038461611.0810096153845
14645.3643.6630377462131.63696225378703
15647.6647.682478475829-0.0824784758291344
16648.4649.055049993036-0.655049993035732
17648.8649.619018103533-0.819018103532812
18648.9649.813719068193-0.913719068192677
19648.9649.26054623663-0.360546236629602
20648.9648.0279616898040.872038310195649
21650.3656.732552734673-6.43255273467298
22650.3650.849012982438-0.549012982438171
23650651.76448170791-1.76448170790957
24650650.085919951226-0.0859199512262876
25650.5652.939696752137-2.43969675213668
26658.4652.662239413925.73776058608041
27666659.9111171170066.08888288299408
28675.5666.4502621112649.04973788873633
29680.7675.255473186685.44452681331995
30690.6680.7768928383649.82310716163613
31690.6689.4613542895011.13864571049919
32691.1689.7060309787731.39396902122724
33692.9697.785583048908-4.8855830489083
34693.8694.113686891617-0.313686891617522
35692.8695.067792533913-2.26779253391271
36697.5693.229664342434.27033565757051
37699699.462652099881-0.46265209988087
38702.1702.10837491168-0.0083749116799936
39704.8704.5381012926780.261898707322189
40715.5706.5739226408358.92607735916533
41721.8714.7526065412657.04739345873452
42726.4722.3065535975684.09344640243228
43727.7724.8341748015932.86582519840749
44727.4726.60074637890.799253621100434
45731.3733.252753058162-1.95275305816176
46734.4732.7730447019031.62695529809696
47733.4735.104657753112-1.70465775311197
48733.4734.736130627043-1.33613062704273
49738.1735.505993615512.5940063844904
50742.6740.836312103341.76368789665958
51747.2744.8310452873642.36895471263642
52751.1749.9679238756151.13207612438521
53752.6751.2459192203811.35408077961858
54758.9753.5233272654075.37667273459317
55759.1756.9702390158562.12976098414367
56764.3757.8120321627076.48796783729301
57765.6768.909356020471-3.30935602047089
58767.6767.820082923837-0.220082923837026
59767.6768.094650210511-0.49465021051094
60765.6768.82265462753-3.22265462753046
61768.2768.582415546898-0.382415546897619
62770.9771.264361604261-0.364361604260921
63775.1773.5451028161251.55489718387457
64777.6777.8116148775-0.211614877499755
65778.6777.9847371877260.615262812273954
66778.9780.237377535784-1.33737753578441
67779.4777.4871866823041.91281331769596
68779.9778.7937779708351.10622202916500
69781.7783.84916889733-2.14916889733036
70789.1784.2051413055674.89485869443308
71788.7788.79362672087-0.0936267208702475
72788.8789.458395673745-0.658395673745531
73790.8791.826726552271-1.02672655227127
74794.1793.9657650289850.134234971015076
75795.1796.95971720046-1.85971720046018
76797.3798.057830996494-0.757830996494249
77803.8797.8896542073315.91034579266875
78805.6804.3624803049371.23751969506338
79804.6804.2934261337580.306573866241706
80804.5804.1174681180630.38253188193687
81805.8808.076469869447-2.27646986944671
82806.8809.376770229757-2.57677022975668
83805.2806.862427975836-1.66242797583618
84814.9806.105977287668.79402271233937
85816.6816.4691534701030.130846529896871
86819.5819.771397022999-0.271397022998826
87823822.1281363867680.87186361323154
88824825.721895388378-1.72189538837767
89831.4825.7318317917995.66816820820134
90831.7831.3087924318080.391207568192272
91831.1830.386135563180.713864436820813
92832.1830.5737224976071.52627750239321
93833.3835.116718085362-1.81671808536248
94838.8836.770263722292.02973627771064
95838838.322484216557-0.3224842165572
96837.3840.273642590616-2.97364259061635
97994.2839.334085104341154.865914895659
98994.2974.3823496358419.8176503641607
99994.2994.1260967547540.0739032452460151
100994.2996.772309653661-2.57230965366114
101994.2997.275704199483-3.07570419948252
1021092.6994.73628682865297.8637131713479
10311001077.0000043328422.9999956671645
10411001096.467609558583.53239044142470
1051092.61102.41227135412-9.81227135412018
1061000.71098.01963907956-97.3196390795565
1071000.71014.78259930551-14.0825993055078
1081000.51004.73918258754-4.23918258753804
1091000.51026.32978586146-25.8297858614569
1101000.5987.4691651930213.0308348069794
1111000.5998.4844679439442.01553205605614
1121000.51002.37780252342-1.87780252342316
1131000.51003.38628895331-2.88628895331226
1141087.71016.0231622300571.6768377699486
1151113.21064.8256085598148.3743914401898
11611161102.9808362698813.0191637301211
1171085.21115.00830048850-29.8083004884954
1181031.31080.55132194164-49.251321941643
1191028.71050.63118855406-21.9311885540603
1201027.51035.38096919761-7.88096919761483
1211027.51050.66360399335-23.1636039933524
1221027.51019.864615942677.63538405732743
1231027.51024.651797253822.84820274617641
1241027.51028.67874161845-1.17874161845452
1251027.51030.13702338420-2.63702338420171
1261152.21054.0907577410598.109242258949
1271155.31121.9445280883033.3554719116967
12811541142.0661602811511.9338397188540
1291119.91146.80639334363-26.9063933436250
1301079.31111.93883866952-32.638838669523
1311074.31100.24995018375-25.9499501837502
1321069.81083.69289851987-13.8928985198734

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 642.1 & 631.018990384616 & 11.0810096153845 \tabularnewline
14 & 645.3 & 643.663037746213 & 1.63696225378703 \tabularnewline
15 & 647.6 & 647.682478475829 & -0.0824784758291344 \tabularnewline
16 & 648.4 & 649.055049993036 & -0.655049993035732 \tabularnewline
17 & 648.8 & 649.619018103533 & -0.819018103532812 \tabularnewline
18 & 648.9 & 649.813719068193 & -0.913719068192677 \tabularnewline
19 & 648.9 & 649.26054623663 & -0.360546236629602 \tabularnewline
20 & 648.9 & 648.027961689804 & 0.872038310195649 \tabularnewline
21 & 650.3 & 656.732552734673 & -6.43255273467298 \tabularnewline
22 & 650.3 & 650.849012982438 & -0.549012982438171 \tabularnewline
23 & 650 & 651.76448170791 & -1.76448170790957 \tabularnewline
24 & 650 & 650.085919951226 & -0.0859199512262876 \tabularnewline
25 & 650.5 & 652.939696752137 & -2.43969675213668 \tabularnewline
26 & 658.4 & 652.66223941392 & 5.73776058608041 \tabularnewline
27 & 666 & 659.911117117006 & 6.08888288299408 \tabularnewline
28 & 675.5 & 666.450262111264 & 9.04973788873633 \tabularnewline
29 & 680.7 & 675.25547318668 & 5.44452681331995 \tabularnewline
30 & 690.6 & 680.776892838364 & 9.82310716163613 \tabularnewline
31 & 690.6 & 689.461354289501 & 1.13864571049919 \tabularnewline
32 & 691.1 & 689.706030978773 & 1.39396902122724 \tabularnewline
33 & 692.9 & 697.785583048908 & -4.8855830489083 \tabularnewline
34 & 693.8 & 694.113686891617 & -0.313686891617522 \tabularnewline
35 & 692.8 & 695.067792533913 & -2.26779253391271 \tabularnewline
36 & 697.5 & 693.22966434243 & 4.27033565757051 \tabularnewline
37 & 699 & 699.462652099881 & -0.46265209988087 \tabularnewline
38 & 702.1 & 702.10837491168 & -0.0083749116799936 \tabularnewline
39 & 704.8 & 704.538101292678 & 0.261898707322189 \tabularnewline
40 & 715.5 & 706.573922640835 & 8.92607735916533 \tabularnewline
41 & 721.8 & 714.752606541265 & 7.04739345873452 \tabularnewline
42 & 726.4 & 722.306553597568 & 4.09344640243228 \tabularnewline
43 & 727.7 & 724.834174801593 & 2.86582519840749 \tabularnewline
44 & 727.4 & 726.6007463789 & 0.799253621100434 \tabularnewline
45 & 731.3 & 733.252753058162 & -1.95275305816176 \tabularnewline
46 & 734.4 & 732.773044701903 & 1.62695529809696 \tabularnewline
47 & 733.4 & 735.104657753112 & -1.70465775311197 \tabularnewline
48 & 733.4 & 734.736130627043 & -1.33613062704273 \tabularnewline
49 & 738.1 & 735.50599361551 & 2.5940063844904 \tabularnewline
50 & 742.6 & 740.83631210334 & 1.76368789665958 \tabularnewline
51 & 747.2 & 744.831045287364 & 2.36895471263642 \tabularnewline
52 & 751.1 & 749.967923875615 & 1.13207612438521 \tabularnewline
53 & 752.6 & 751.245919220381 & 1.35408077961858 \tabularnewline
54 & 758.9 & 753.523327265407 & 5.37667273459317 \tabularnewline
55 & 759.1 & 756.970239015856 & 2.12976098414367 \tabularnewline
56 & 764.3 & 757.812032162707 & 6.48796783729301 \tabularnewline
57 & 765.6 & 768.909356020471 & -3.30935602047089 \tabularnewline
58 & 767.6 & 767.820082923837 & -0.220082923837026 \tabularnewline
59 & 767.6 & 768.094650210511 & -0.49465021051094 \tabularnewline
60 & 765.6 & 768.82265462753 & -3.22265462753046 \tabularnewline
61 & 768.2 & 768.582415546898 & -0.382415546897619 \tabularnewline
62 & 770.9 & 771.264361604261 & -0.364361604260921 \tabularnewline
63 & 775.1 & 773.545102816125 & 1.55489718387457 \tabularnewline
64 & 777.6 & 777.8116148775 & -0.211614877499755 \tabularnewline
65 & 778.6 & 777.984737187726 & 0.615262812273954 \tabularnewline
66 & 778.9 & 780.237377535784 & -1.33737753578441 \tabularnewline
67 & 779.4 & 777.487186682304 & 1.91281331769596 \tabularnewline
68 & 779.9 & 778.793777970835 & 1.10622202916500 \tabularnewline
69 & 781.7 & 783.84916889733 & -2.14916889733036 \tabularnewline
70 & 789.1 & 784.205141305567 & 4.89485869443308 \tabularnewline
71 & 788.7 & 788.79362672087 & -0.0936267208702475 \tabularnewline
72 & 788.8 & 789.458395673745 & -0.658395673745531 \tabularnewline
73 & 790.8 & 791.826726552271 & -1.02672655227127 \tabularnewline
74 & 794.1 & 793.965765028985 & 0.134234971015076 \tabularnewline
75 & 795.1 & 796.95971720046 & -1.85971720046018 \tabularnewline
76 & 797.3 & 798.057830996494 & -0.757830996494249 \tabularnewline
77 & 803.8 & 797.889654207331 & 5.91034579266875 \tabularnewline
78 & 805.6 & 804.362480304937 & 1.23751969506338 \tabularnewline
79 & 804.6 & 804.293426133758 & 0.306573866241706 \tabularnewline
80 & 804.5 & 804.117468118063 & 0.38253188193687 \tabularnewline
81 & 805.8 & 808.076469869447 & -2.27646986944671 \tabularnewline
82 & 806.8 & 809.376770229757 & -2.57677022975668 \tabularnewline
83 & 805.2 & 806.862427975836 & -1.66242797583618 \tabularnewline
84 & 814.9 & 806.10597728766 & 8.79402271233937 \tabularnewline
85 & 816.6 & 816.469153470103 & 0.130846529896871 \tabularnewline
86 & 819.5 & 819.771397022999 & -0.271397022998826 \tabularnewline
87 & 823 & 822.128136386768 & 0.87186361323154 \tabularnewline
88 & 824 & 825.721895388378 & -1.72189538837767 \tabularnewline
89 & 831.4 & 825.731831791799 & 5.66816820820134 \tabularnewline
90 & 831.7 & 831.308792431808 & 0.391207568192272 \tabularnewline
91 & 831.1 & 830.38613556318 & 0.713864436820813 \tabularnewline
92 & 832.1 & 830.573722497607 & 1.52627750239321 \tabularnewline
93 & 833.3 & 835.116718085362 & -1.81671808536248 \tabularnewline
94 & 838.8 & 836.77026372229 & 2.02973627771064 \tabularnewline
95 & 838 & 838.322484216557 & -0.3224842165572 \tabularnewline
96 & 837.3 & 840.273642590616 & -2.97364259061635 \tabularnewline
97 & 994.2 & 839.334085104341 & 154.865914895659 \tabularnewline
98 & 994.2 & 974.38234963584 & 19.8176503641607 \tabularnewline
99 & 994.2 & 994.126096754754 & 0.0739032452460151 \tabularnewline
100 & 994.2 & 996.772309653661 & -2.57230965366114 \tabularnewline
101 & 994.2 & 997.275704199483 & -3.07570419948252 \tabularnewline
102 & 1092.6 & 994.736286828652 & 97.8637131713479 \tabularnewline
103 & 1100 & 1077.00000433284 & 22.9999956671645 \tabularnewline
104 & 1100 & 1096.46760955858 & 3.53239044142470 \tabularnewline
105 & 1092.6 & 1102.41227135412 & -9.81227135412018 \tabularnewline
106 & 1000.7 & 1098.01963907956 & -97.3196390795565 \tabularnewline
107 & 1000.7 & 1014.78259930551 & -14.0825993055078 \tabularnewline
108 & 1000.5 & 1004.73918258754 & -4.23918258753804 \tabularnewline
109 & 1000.5 & 1026.32978586146 & -25.8297858614569 \tabularnewline
110 & 1000.5 & 987.46916519302 & 13.0308348069794 \tabularnewline
111 & 1000.5 & 998.484467943944 & 2.01553205605614 \tabularnewline
112 & 1000.5 & 1002.37780252342 & -1.87780252342316 \tabularnewline
113 & 1000.5 & 1003.38628895331 & -2.88628895331226 \tabularnewline
114 & 1087.7 & 1016.02316223005 & 71.6768377699486 \tabularnewline
115 & 1113.2 & 1064.82560855981 & 48.3743914401898 \tabularnewline
116 & 1116 & 1102.98083626988 & 13.0191637301211 \tabularnewline
117 & 1085.2 & 1115.00830048850 & -29.8083004884954 \tabularnewline
118 & 1031.3 & 1080.55132194164 & -49.251321941643 \tabularnewline
119 & 1028.7 & 1050.63118855406 & -21.9311885540603 \tabularnewline
120 & 1027.5 & 1035.38096919761 & -7.88096919761483 \tabularnewline
121 & 1027.5 & 1050.66360399335 & -23.1636039933524 \tabularnewline
122 & 1027.5 & 1019.86461594267 & 7.63538405732743 \tabularnewline
123 & 1027.5 & 1024.65179725382 & 2.84820274617641 \tabularnewline
124 & 1027.5 & 1028.67874161845 & -1.17874161845452 \tabularnewline
125 & 1027.5 & 1030.13702338420 & -2.63702338420171 \tabularnewline
126 & 1152.2 & 1054.09075774105 & 98.109242258949 \tabularnewline
127 & 1155.3 & 1121.94452808830 & 33.3554719116967 \tabularnewline
128 & 1154 & 1142.06616028115 & 11.9338397188540 \tabularnewline
129 & 1119.9 & 1146.80639334363 & -26.9063933436250 \tabularnewline
130 & 1079.3 & 1111.93883866952 & -32.638838669523 \tabularnewline
131 & 1074.3 & 1100.24995018375 & -25.9499501837502 \tabularnewline
132 & 1069.8 & 1083.69289851987 & -13.8928985198734 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42968&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]642.1[/C][C]631.018990384616[/C][C]11.0810096153845[/C][/ROW]
[ROW][C]14[/C][C]645.3[/C][C]643.663037746213[/C][C]1.63696225378703[/C][/ROW]
[ROW][C]15[/C][C]647.6[/C][C]647.682478475829[/C][C]-0.0824784758291344[/C][/ROW]
[ROW][C]16[/C][C]648.4[/C][C]649.055049993036[/C][C]-0.655049993035732[/C][/ROW]
[ROW][C]17[/C][C]648.8[/C][C]649.619018103533[/C][C]-0.819018103532812[/C][/ROW]
[ROW][C]18[/C][C]648.9[/C][C]649.813719068193[/C][C]-0.913719068192677[/C][/ROW]
[ROW][C]19[/C][C]648.9[/C][C]649.26054623663[/C][C]-0.360546236629602[/C][/ROW]
[ROW][C]20[/C][C]648.9[/C][C]648.027961689804[/C][C]0.872038310195649[/C][/ROW]
[ROW][C]21[/C][C]650.3[/C][C]656.732552734673[/C][C]-6.43255273467298[/C][/ROW]
[ROW][C]22[/C][C]650.3[/C][C]650.849012982438[/C][C]-0.549012982438171[/C][/ROW]
[ROW][C]23[/C][C]650[/C][C]651.76448170791[/C][C]-1.76448170790957[/C][/ROW]
[ROW][C]24[/C][C]650[/C][C]650.085919951226[/C][C]-0.0859199512262876[/C][/ROW]
[ROW][C]25[/C][C]650.5[/C][C]652.939696752137[/C][C]-2.43969675213668[/C][/ROW]
[ROW][C]26[/C][C]658.4[/C][C]652.66223941392[/C][C]5.73776058608041[/C][/ROW]
[ROW][C]27[/C][C]666[/C][C]659.911117117006[/C][C]6.08888288299408[/C][/ROW]
[ROW][C]28[/C][C]675.5[/C][C]666.450262111264[/C][C]9.04973788873633[/C][/ROW]
[ROW][C]29[/C][C]680.7[/C][C]675.25547318668[/C][C]5.44452681331995[/C][/ROW]
[ROW][C]30[/C][C]690.6[/C][C]680.776892838364[/C][C]9.82310716163613[/C][/ROW]
[ROW][C]31[/C][C]690.6[/C][C]689.461354289501[/C][C]1.13864571049919[/C][/ROW]
[ROW][C]32[/C][C]691.1[/C][C]689.706030978773[/C][C]1.39396902122724[/C][/ROW]
[ROW][C]33[/C][C]692.9[/C][C]697.785583048908[/C][C]-4.8855830489083[/C][/ROW]
[ROW][C]34[/C][C]693.8[/C][C]694.113686891617[/C][C]-0.313686891617522[/C][/ROW]
[ROW][C]35[/C][C]692.8[/C][C]695.067792533913[/C][C]-2.26779253391271[/C][/ROW]
[ROW][C]36[/C][C]697.5[/C][C]693.22966434243[/C][C]4.27033565757051[/C][/ROW]
[ROW][C]37[/C][C]699[/C][C]699.462652099881[/C][C]-0.46265209988087[/C][/ROW]
[ROW][C]38[/C][C]702.1[/C][C]702.10837491168[/C][C]-0.0083749116799936[/C][/ROW]
[ROW][C]39[/C][C]704.8[/C][C]704.538101292678[/C][C]0.261898707322189[/C][/ROW]
[ROW][C]40[/C][C]715.5[/C][C]706.573922640835[/C][C]8.92607735916533[/C][/ROW]
[ROW][C]41[/C][C]721.8[/C][C]714.752606541265[/C][C]7.04739345873452[/C][/ROW]
[ROW][C]42[/C][C]726.4[/C][C]722.306553597568[/C][C]4.09344640243228[/C][/ROW]
[ROW][C]43[/C][C]727.7[/C][C]724.834174801593[/C][C]2.86582519840749[/C][/ROW]
[ROW][C]44[/C][C]727.4[/C][C]726.6007463789[/C][C]0.799253621100434[/C][/ROW]
[ROW][C]45[/C][C]731.3[/C][C]733.252753058162[/C][C]-1.95275305816176[/C][/ROW]
[ROW][C]46[/C][C]734.4[/C][C]732.773044701903[/C][C]1.62695529809696[/C][/ROW]
[ROW][C]47[/C][C]733.4[/C][C]735.104657753112[/C][C]-1.70465775311197[/C][/ROW]
[ROW][C]48[/C][C]733.4[/C][C]734.736130627043[/C][C]-1.33613062704273[/C][/ROW]
[ROW][C]49[/C][C]738.1[/C][C]735.50599361551[/C][C]2.5940063844904[/C][/ROW]
[ROW][C]50[/C][C]742.6[/C][C]740.83631210334[/C][C]1.76368789665958[/C][/ROW]
[ROW][C]51[/C][C]747.2[/C][C]744.831045287364[/C][C]2.36895471263642[/C][/ROW]
[ROW][C]52[/C][C]751.1[/C][C]749.967923875615[/C][C]1.13207612438521[/C][/ROW]
[ROW][C]53[/C][C]752.6[/C][C]751.245919220381[/C][C]1.35408077961858[/C][/ROW]
[ROW][C]54[/C][C]758.9[/C][C]753.523327265407[/C][C]5.37667273459317[/C][/ROW]
[ROW][C]55[/C][C]759.1[/C][C]756.970239015856[/C][C]2.12976098414367[/C][/ROW]
[ROW][C]56[/C][C]764.3[/C][C]757.812032162707[/C][C]6.48796783729301[/C][/ROW]
[ROW][C]57[/C][C]765.6[/C][C]768.909356020471[/C][C]-3.30935602047089[/C][/ROW]
[ROW][C]58[/C][C]767.6[/C][C]767.820082923837[/C][C]-0.220082923837026[/C][/ROW]
[ROW][C]59[/C][C]767.6[/C][C]768.094650210511[/C][C]-0.49465021051094[/C][/ROW]
[ROW][C]60[/C][C]765.6[/C][C]768.82265462753[/C][C]-3.22265462753046[/C][/ROW]
[ROW][C]61[/C][C]768.2[/C][C]768.582415546898[/C][C]-0.382415546897619[/C][/ROW]
[ROW][C]62[/C][C]770.9[/C][C]771.264361604261[/C][C]-0.364361604260921[/C][/ROW]
[ROW][C]63[/C][C]775.1[/C][C]773.545102816125[/C][C]1.55489718387457[/C][/ROW]
[ROW][C]64[/C][C]777.6[/C][C]777.8116148775[/C][C]-0.211614877499755[/C][/ROW]
[ROW][C]65[/C][C]778.6[/C][C]777.984737187726[/C][C]0.615262812273954[/C][/ROW]
[ROW][C]66[/C][C]778.9[/C][C]780.237377535784[/C][C]-1.33737753578441[/C][/ROW]
[ROW][C]67[/C][C]779.4[/C][C]777.487186682304[/C][C]1.91281331769596[/C][/ROW]
[ROW][C]68[/C][C]779.9[/C][C]778.793777970835[/C][C]1.10622202916500[/C][/ROW]
[ROW][C]69[/C][C]781.7[/C][C]783.84916889733[/C][C]-2.14916889733036[/C][/ROW]
[ROW][C]70[/C][C]789.1[/C][C]784.205141305567[/C][C]4.89485869443308[/C][/ROW]
[ROW][C]71[/C][C]788.7[/C][C]788.79362672087[/C][C]-0.0936267208702475[/C][/ROW]
[ROW][C]72[/C][C]788.8[/C][C]789.458395673745[/C][C]-0.658395673745531[/C][/ROW]
[ROW][C]73[/C][C]790.8[/C][C]791.826726552271[/C][C]-1.02672655227127[/C][/ROW]
[ROW][C]74[/C][C]794.1[/C][C]793.965765028985[/C][C]0.134234971015076[/C][/ROW]
[ROW][C]75[/C][C]795.1[/C][C]796.95971720046[/C][C]-1.85971720046018[/C][/ROW]
[ROW][C]76[/C][C]797.3[/C][C]798.057830996494[/C][C]-0.757830996494249[/C][/ROW]
[ROW][C]77[/C][C]803.8[/C][C]797.889654207331[/C][C]5.91034579266875[/C][/ROW]
[ROW][C]78[/C][C]805.6[/C][C]804.362480304937[/C][C]1.23751969506338[/C][/ROW]
[ROW][C]79[/C][C]804.6[/C][C]804.293426133758[/C][C]0.306573866241706[/C][/ROW]
[ROW][C]80[/C][C]804.5[/C][C]804.117468118063[/C][C]0.38253188193687[/C][/ROW]
[ROW][C]81[/C][C]805.8[/C][C]808.076469869447[/C][C]-2.27646986944671[/C][/ROW]
[ROW][C]82[/C][C]806.8[/C][C]809.376770229757[/C][C]-2.57677022975668[/C][/ROW]
[ROW][C]83[/C][C]805.2[/C][C]806.862427975836[/C][C]-1.66242797583618[/C][/ROW]
[ROW][C]84[/C][C]814.9[/C][C]806.10597728766[/C][C]8.79402271233937[/C][/ROW]
[ROW][C]85[/C][C]816.6[/C][C]816.469153470103[/C][C]0.130846529896871[/C][/ROW]
[ROW][C]86[/C][C]819.5[/C][C]819.771397022999[/C][C]-0.271397022998826[/C][/ROW]
[ROW][C]87[/C][C]823[/C][C]822.128136386768[/C][C]0.87186361323154[/C][/ROW]
[ROW][C]88[/C][C]824[/C][C]825.721895388378[/C][C]-1.72189538837767[/C][/ROW]
[ROW][C]89[/C][C]831.4[/C][C]825.731831791799[/C][C]5.66816820820134[/C][/ROW]
[ROW][C]90[/C][C]831.7[/C][C]831.308792431808[/C][C]0.391207568192272[/C][/ROW]
[ROW][C]91[/C][C]831.1[/C][C]830.38613556318[/C][C]0.713864436820813[/C][/ROW]
[ROW][C]92[/C][C]832.1[/C][C]830.573722497607[/C][C]1.52627750239321[/C][/ROW]
[ROW][C]93[/C][C]833.3[/C][C]835.116718085362[/C][C]-1.81671808536248[/C][/ROW]
[ROW][C]94[/C][C]838.8[/C][C]836.77026372229[/C][C]2.02973627771064[/C][/ROW]
[ROW][C]95[/C][C]838[/C][C]838.322484216557[/C][C]-0.3224842165572[/C][/ROW]
[ROW][C]96[/C][C]837.3[/C][C]840.273642590616[/C][C]-2.97364259061635[/C][/ROW]
[ROW][C]97[/C][C]994.2[/C][C]839.334085104341[/C][C]154.865914895659[/C][/ROW]
[ROW][C]98[/C][C]994.2[/C][C]974.38234963584[/C][C]19.8176503641607[/C][/ROW]
[ROW][C]99[/C][C]994.2[/C][C]994.126096754754[/C][C]0.0739032452460151[/C][/ROW]
[ROW][C]100[/C][C]994.2[/C][C]996.772309653661[/C][C]-2.57230965366114[/C][/ROW]
[ROW][C]101[/C][C]994.2[/C][C]997.275704199483[/C][C]-3.07570419948252[/C][/ROW]
[ROW][C]102[/C][C]1092.6[/C][C]994.736286828652[/C][C]97.8637131713479[/C][/ROW]
[ROW][C]103[/C][C]1100[/C][C]1077.00000433284[/C][C]22.9999956671645[/C][/ROW]
[ROW][C]104[/C][C]1100[/C][C]1096.46760955858[/C][C]3.53239044142470[/C][/ROW]
[ROW][C]105[/C][C]1092.6[/C][C]1102.41227135412[/C][C]-9.81227135412018[/C][/ROW]
[ROW][C]106[/C][C]1000.7[/C][C]1098.01963907956[/C][C]-97.3196390795565[/C][/ROW]
[ROW][C]107[/C][C]1000.7[/C][C]1014.78259930551[/C][C]-14.0825993055078[/C][/ROW]
[ROW][C]108[/C][C]1000.5[/C][C]1004.73918258754[/C][C]-4.23918258753804[/C][/ROW]
[ROW][C]109[/C][C]1000.5[/C][C]1026.32978586146[/C][C]-25.8297858614569[/C][/ROW]
[ROW][C]110[/C][C]1000.5[/C][C]987.46916519302[/C][C]13.0308348069794[/C][/ROW]
[ROW][C]111[/C][C]1000.5[/C][C]998.484467943944[/C][C]2.01553205605614[/C][/ROW]
[ROW][C]112[/C][C]1000.5[/C][C]1002.37780252342[/C][C]-1.87780252342316[/C][/ROW]
[ROW][C]113[/C][C]1000.5[/C][C]1003.38628895331[/C][C]-2.88628895331226[/C][/ROW]
[ROW][C]114[/C][C]1087.7[/C][C]1016.02316223005[/C][C]71.6768377699486[/C][/ROW]
[ROW][C]115[/C][C]1113.2[/C][C]1064.82560855981[/C][C]48.3743914401898[/C][/ROW]
[ROW][C]116[/C][C]1116[/C][C]1102.98083626988[/C][C]13.0191637301211[/C][/ROW]
[ROW][C]117[/C][C]1085.2[/C][C]1115.00830048850[/C][C]-29.8083004884954[/C][/ROW]
[ROW][C]118[/C][C]1031.3[/C][C]1080.55132194164[/C][C]-49.251321941643[/C][/ROW]
[ROW][C]119[/C][C]1028.7[/C][C]1050.63118855406[/C][C]-21.9311885540603[/C][/ROW]
[ROW][C]120[/C][C]1027.5[/C][C]1035.38096919761[/C][C]-7.88096919761483[/C][/ROW]
[ROW][C]121[/C][C]1027.5[/C][C]1050.66360399335[/C][C]-23.1636039933524[/C][/ROW]
[ROW][C]122[/C][C]1027.5[/C][C]1019.86461594267[/C][C]7.63538405732743[/C][/ROW]
[ROW][C]123[/C][C]1027.5[/C][C]1024.65179725382[/C][C]2.84820274617641[/C][/ROW]
[ROW][C]124[/C][C]1027.5[/C][C]1028.67874161845[/C][C]-1.17874161845452[/C][/ROW]
[ROW][C]125[/C][C]1027.5[/C][C]1030.13702338420[/C][C]-2.63702338420171[/C][/ROW]
[ROW][C]126[/C][C]1152.2[/C][C]1054.09075774105[/C][C]98.109242258949[/C][/ROW]
[ROW][C]127[/C][C]1155.3[/C][C]1121.94452808830[/C][C]33.3554719116967[/C][/ROW]
[ROW][C]128[/C][C]1154[/C][C]1142.06616028115[/C][C]11.9338397188540[/C][/ROW]
[ROW][C]129[/C][C]1119.9[/C][C]1146.80639334363[/C][C]-26.9063933436250[/C][/ROW]
[ROW][C]130[/C][C]1079.3[/C][C]1111.93883866952[/C][C]-32.638838669523[/C][/ROW]
[ROW][C]131[/C][C]1074.3[/C][C]1100.24995018375[/C][C]-25.9499501837502[/C][/ROW]
[ROW][C]132[/C][C]1069.8[/C][C]1083.69289851987[/C][C]-13.8928985198734[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42968&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42968&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
13642.1631.01899038461611.0810096153845
14645.3643.6630377462131.63696225378703
15647.6647.682478475829-0.0824784758291344
16648.4649.055049993036-0.655049993035732
17648.8649.619018103533-0.819018103532812
18648.9649.813719068193-0.913719068192677
19648.9649.26054623663-0.360546236629602
20648.9648.0279616898040.872038310195649
21650.3656.732552734673-6.43255273467298
22650.3650.849012982438-0.549012982438171
23650651.76448170791-1.76448170790957
24650650.085919951226-0.0859199512262876
25650.5652.939696752137-2.43969675213668
26658.4652.662239413925.73776058608041
27666659.9111171170066.08888288299408
28675.5666.4502621112649.04973788873633
29680.7675.255473186685.44452681331995
30690.6680.7768928383649.82310716163613
31690.6689.4613542895011.13864571049919
32691.1689.7060309787731.39396902122724
33692.9697.785583048908-4.8855830489083
34693.8694.113686891617-0.313686891617522
35692.8695.067792533913-2.26779253391271
36697.5693.229664342434.27033565757051
37699699.462652099881-0.46265209988087
38702.1702.10837491168-0.0083749116799936
39704.8704.5381012926780.261898707322189
40715.5706.5739226408358.92607735916533
41721.8714.7526065412657.04739345873452
42726.4722.3065535975684.09344640243228
43727.7724.8341748015932.86582519840749
44727.4726.60074637890.799253621100434
45731.3733.252753058162-1.95275305816176
46734.4732.7730447019031.62695529809696
47733.4735.104657753112-1.70465775311197
48733.4734.736130627043-1.33613062704273
49738.1735.505993615512.5940063844904
50742.6740.836312103341.76368789665958
51747.2744.8310452873642.36895471263642
52751.1749.9679238756151.13207612438521
53752.6751.2459192203811.35408077961858
54758.9753.5233272654075.37667273459317
55759.1756.9702390158562.12976098414367
56764.3757.8120321627076.48796783729301
57765.6768.909356020471-3.30935602047089
58767.6767.820082923837-0.220082923837026
59767.6768.094650210511-0.49465021051094
60765.6768.82265462753-3.22265462753046
61768.2768.582415546898-0.382415546897619
62770.9771.264361604261-0.364361604260921
63775.1773.5451028161251.55489718387457
64777.6777.8116148775-0.211614877499755
65778.6777.9847371877260.615262812273954
66778.9780.237377535784-1.33737753578441
67779.4777.4871866823041.91281331769596
68779.9778.7937779708351.10622202916500
69781.7783.84916889733-2.14916889733036
70789.1784.2051413055674.89485869443308
71788.7788.79362672087-0.0936267208702475
72788.8789.458395673745-0.658395673745531
73790.8791.826726552271-1.02672655227127
74794.1793.9657650289850.134234971015076
75795.1796.95971720046-1.85971720046018
76797.3798.057830996494-0.757830996494249
77803.8797.8896542073315.91034579266875
78805.6804.3624803049371.23751969506338
79804.6804.2934261337580.306573866241706
80804.5804.1174681180630.38253188193687
81805.8808.076469869447-2.27646986944671
82806.8809.376770229757-2.57677022975668
83805.2806.862427975836-1.66242797583618
84814.9806.105977287668.79402271233937
85816.6816.4691534701030.130846529896871
86819.5819.771397022999-0.271397022998826
87823822.1281363867680.87186361323154
88824825.721895388378-1.72189538837767
89831.4825.7318317917995.66816820820134
90831.7831.3087924318080.391207568192272
91831.1830.386135563180.713864436820813
92832.1830.5737224976071.52627750239321
93833.3835.116718085362-1.81671808536248
94838.8836.770263722292.02973627771064
95838838.322484216557-0.3224842165572
96837.3840.273642590616-2.97364259061635
97994.2839.334085104341154.865914895659
98994.2974.3823496358419.8176503641607
99994.2994.1260967547540.0739032452460151
100994.2996.772309653661-2.57230965366114
101994.2997.275704199483-3.07570419948252
1021092.6994.73628682865297.8637131713479
10311001077.0000043328422.9999956671645
10411001096.467609558583.53239044142470
1051092.61102.41227135412-9.81227135412018
1061000.71098.01963907956-97.3196390795565
1071000.71014.78259930551-14.0825993055078
1081000.51004.73918258754-4.23918258753804
1091000.51026.32978586146-25.8297858614569
1101000.5987.4691651930213.0308348069794
1111000.5998.4844679439442.01553205605614
1121000.51002.37780252342-1.87780252342316
1131000.51003.38628895331-2.88628895331226
1141087.71016.0231622300571.6768377699486
1151113.21064.8256085598148.3743914401898
11611161102.9808362698813.0191637301211
1171085.21115.00830048850-29.8083004884954
1181031.31080.55132194164-49.251321941643
1191028.71050.63118855406-21.9311885540603
1201027.51035.38096919761-7.88096919761483
1211027.51050.66360399335-23.1636039933524
1221027.51019.864615942677.63538405732743
1231027.51024.651797253822.84820274617641
1241027.51028.67874161845-1.17874161845452
1251027.51030.13702338420-2.63702338420171
1261152.21054.0907577410598.109242258949
1271155.31121.9445280883033.3554719116967
12811541142.0661602811511.9338397188540
1291119.91146.80639334363-26.9063933436250
1301079.31111.93883866952-32.638838669523
1311074.31100.24995018375-25.9499501837502
1321069.81083.69289851987-13.8928985198734







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331091.601722754521043.689745462141139.51370004690
1341085.136431410711022.198969397231148.07389342419
1351082.740648766561007.712155430541157.76914210258
1361083.77047030927998.3303647739941169.21057584455
1371086.04226951660991.3145724443781180.76996658881
1381127.266832221211024.071620648471230.46204379395
1391101.94098774343990.9105462700211212.97142921683
1401090.42587692981972.0668454940741208.78490836554
1411079.16128303771953.8913430660261204.43122300939
1421066.29356380199934.4646839949431198.12244360903
1431083.35423603938945.2682143083241221.44025777043
1441090.66983370732946.5891361708921234.75053124375

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1091.60172275452 & 1043.68974546214 & 1139.51370004690 \tabularnewline
134 & 1085.13643141071 & 1022.19896939723 & 1148.07389342419 \tabularnewline
135 & 1082.74064876656 & 1007.71215543054 & 1157.76914210258 \tabularnewline
136 & 1083.77047030927 & 998.330364773994 & 1169.21057584455 \tabularnewline
137 & 1086.04226951660 & 991.314572444378 & 1180.76996658881 \tabularnewline
138 & 1127.26683222121 & 1024.07162064847 & 1230.46204379395 \tabularnewline
139 & 1101.94098774343 & 990.910546270021 & 1212.97142921683 \tabularnewline
140 & 1090.42587692981 & 972.066845494074 & 1208.78490836554 \tabularnewline
141 & 1079.16128303771 & 953.891343066026 & 1204.43122300939 \tabularnewline
142 & 1066.29356380199 & 934.464683994943 & 1198.12244360903 \tabularnewline
143 & 1083.35423603938 & 945.268214308324 & 1221.44025777043 \tabularnewline
144 & 1090.66983370732 & 946.589136170892 & 1234.75053124375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=42968&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]133[/C][C]1091.60172275452[/C][C]1043.68974546214[/C][C]1139.51370004690[/C][/ROW]
[ROW][C]134[/C][C]1085.13643141071[/C][C]1022.19896939723[/C][C]1148.07389342419[/C][/ROW]
[ROW][C]135[/C][C]1082.74064876656[/C][C]1007.71215543054[/C][C]1157.76914210258[/C][/ROW]
[ROW][C]136[/C][C]1083.77047030927[/C][C]998.330364773994[/C][C]1169.21057584455[/C][/ROW]
[ROW][C]137[/C][C]1086.04226951660[/C][C]991.314572444378[/C][C]1180.76996658881[/C][/ROW]
[ROW][C]138[/C][C]1127.26683222121[/C][C]1024.07162064847[/C][C]1230.46204379395[/C][/ROW]
[ROW][C]139[/C][C]1101.94098774343[/C][C]990.910546270021[/C][C]1212.97142921683[/C][/ROW]
[ROW][C]140[/C][C]1090.42587692981[/C][C]972.066845494074[/C][C]1208.78490836554[/C][/ROW]
[ROW][C]141[/C][C]1079.16128303771[/C][C]953.891343066026[/C][C]1204.43122300939[/C][/ROW]
[ROW][C]142[/C][C]1066.29356380199[/C][C]934.464683994943[/C][C]1198.12244360903[/C][/ROW]
[ROW][C]143[/C][C]1083.35423603938[/C][C]945.268214308324[/C][C]1221.44025777043[/C][/ROW]
[ROW][C]144[/C][C]1090.66983370732[/C][C]946.589136170892[/C][C]1234.75053124375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=42968&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42968&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
1331091.601722754521043.689745462141139.51370004690
1341085.136431410711022.198969397231148.07389342419
1351082.740648766561007.712155430541157.76914210258
1361083.77047030927998.3303647739941169.21057584455
1371086.04226951660991.3145724443781180.76996658881
1381127.266832221211024.071620648471230.46204379395
1391101.94098774343990.9105462700211212.97142921683
1401090.42587692981972.0668454940741208.78490836554
1411079.16128303771953.8913430660261204.43122300939
1421066.29356380199934.4646839949431198.12244360903
1431083.35423603938945.2682143083241221.44025777043
1441090.66983370732946.5891361708921234.75053124375



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
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=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')