Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 07 Aug 2016 10:46:47 +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/2016/Aug/07/t1470563237htlflr2f8u3yxjg.htm/, Retrieved Fri, 03 May 2024 02:38:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296071, Retrieved Fri, 03 May 2024 02:38:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential smoot...] [2016-08-07 09:46:47] [e98d32ae432942f69cb1b3451eac7d8c] [Current]
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Dataseries X:
 106 474.50 
 106 559.75 
 106 636.75 
 106 722.00 
 106 804.50 
 106 889.75 
 106 972.25 
 107 057.50 
 107 142.75 
 107 225.25 
 107 310.50 
 107 393.00 
 107 478.25 
 107 563.50 
 107 640.50 
 107 725.75 
 107 808.25 
 107 893.50 
 107 976.00 
 108 061.25 
 108 146.50 
 108 229.00 
 108 314.25 
 108 396.75 
 108 482.00 
 108 567.25 
 108 647.00 
 108 732.25 
 108 814.75 
 108 900.00 
 108 982.50 
 109 067.75 
 109 153.00 
 109 235.50 
 109 320.75 
 109 403.25 
 109 488.50 
 109 573.75 
 109 650.75 
 109 736.00 
 109 818.50 
 109 903.75 
 109 986.25 
 110 071.50 
 110 156.75 
 110 239.25 
 110 324.50 
 110 407.00 
 110 492.25 
 110 577.50 
 110 654.50 
 110 739.75 
 110 822.25 
 110 907.50 
 110 990.00 
 111 075.25 
 111 160.50 
 111 243.00 
 111 328.25 
 111 410.75 
 111 496.00 
 111 581.25 
 111 658.25 
 111 743.50 
 111 826.00 
 111 911.25 
 111 993.75 
 112 079.00 
 112 164.25 
 112 246.75 
 112 332.00 
 112 414.50 
 112 499.75 
 112 585.00 
 112 664.75 
 112 750.00 
 112 832.50 
 112 917.75 
 113 000.25 
 113 085.50 
 113 170.75 
 113 253.25 
 113 338.50 
 113 421.00 
 113 506.25 
 113 591.50 
 113 668.50 
 113 753.75 
 113 836.25 
 113 921.50 
 114 004.00 
 114 089.25 
 114 174.50 
 114 257.00 
 114 342.25 
 114 424.75 
 114 510.00 
 114 595.25 
 114 672.25 
 114 757.50 
 114 840.00 
 114 925.25 
 115 007.75 
 115 093.00 
 115 178.25 
 115 260.75 
 115 346.00 
 115 428.50 
 115 513.75 
 115 599.00 
 115 676.00 
 115 761.25 
 115 843.75 
 115 929.00 
 116 011.50 
 116 096.75 
 116 182.00 
 116 264.50 
 116 349.75 
 116 432.25 




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296071&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296071&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296071&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.608833965590461
beta0.0871644867927241
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.608833965590461 \tabularnewline
beta & 0.0871644867927241 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296071&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]0.608833965590461[/C][/ROW]
[ROW][C]beta[/C][C]0.0871644867927241[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296071&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296071&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
alpha0.608833965590461
beta0.0871644867927241
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3106636.75106645-8.25
4106722106724.789303008-2.7893030076084
5106804.5106807.755239135-3.25523913506186
6106889.75106890.264746213-0.51474621273519
7106972.25106974.415441552-2.16544155155134
8107057.5107057.4462203330.0537796671414981
9107142.75107141.8309903860.919009613702656
10107225.25107226.791312465-1.54131246486213
11107310.5107310.1719114470.328088553316775
12107393107394.708076497-1.70807649672497
13107478.25107477.9139097050.33609029467334
14107563.5107562.3821369631.11786303707049
15107640.5107647.385657558-6.88565755781019
16107725.75107727.150950074-1.40095007393393
17107808.25107810.181172198-1.93117219815031
18107893.5107892.7860922860.713907714467496
19107976107977.03931302-1.03931301983539
20108061.25108060.1699584311.0800415690901
21108146.5108144.6482553031.85174469696358
22108229108229.694660935-0.694660934852436
23108314.25108313.1538635751.09613642502518
24108396.75108397.761535009-1.01153500855435
25108482108481.0323036370.967696363004507
26108567.25108565.5594499381.69055006165581
27108647108650.616409418-3.6164094178821
28108732.25108732.250393565-0.000393565249396488
29108814.75108816.085910098-1.3359100978123
30108900108899.0374237910.962576208665268
31108982.5108983.439416686-0.939416685869219
32109067.75109066.6335580811.11644191852247
33109153109151.1386241451.86137585468532
34109235.5109236.196012089-0.696012088723364
35109320.75109319.6594389321.09056106786011
36109403.25109404.268466854-1.01846685360943
37109488.5109487.539398230.960601769955247
38109573.75109572.0662316921.68376830796478
39109650.75109657.122708901-6.37270890061336
40109736109736.935937764-0.935937763788388
41109818.5109820.009588558-1.50958855764475
42109903.75109902.6538693611.09613063868892
43109986.25109986.942770745-0.692770744673908
44110071.5110070.1057637621.39423623814946
45110156.75110154.6133878212.13661217855406
46110239.25110239.6863828-0.436382799845887
47110324.5110323.1696927741.33030722585681
48110407110407.799221318-0.799221318040509
49110492.25110491.0898069171.16019308277464
50110577.5110575.6349204951.86507950485975
51110654.5110660.708170214-6.20817021367839
52110739.75110740.536691767-0.786691767323646
53110822.25110823.624244833-1.37424483332143
54110907.5110906.2811462491.21885375084821
55110990110990.581497143-0.581497143386514
56111075.25111073.7548739661.49512603432231
57111160.5111158.2719139082.22808609249478
58111243111243.353446461-0.353446460925625
59111328.25111326.8444973681.40550263170735
60111410.75111411.481044425-0.731044424726861
61111496111494.7779934871.22200651324238
62111581.25111579.3288765941.92112340644235
63111658.25111664.407357333-6.1573573328933
64111743.5111744.240621658-0.740621657721931
65111826111827.332474816-1.33247481554281
66111911.25111909.9932749621.25672503822716
67111993.75111994.297160687-0.547160686925054
68112079112077.4737424061.5262575938832
69112164.25112161.9936881062.25631189384148
70112246.75112247.0778552-0.327855200084741
71112332112330.5712947451.42870525484614
72112414.5112415.210007489-0.710007488567499
73112499.75112498.5089200971.24107990333869
74112585112583.0615834761.93841652396077
75112664.75112668.141678321-3.39167832076782
76112750112749.7966384240.203361575622694
77112832.5112833.651173059-1.15117305905733
78112917.75112916.6199297431.13007025732077
79113000.25113001.037556201-0.787556200724794
80113085.5113084.2458719541.25412804608641
81113170.75113168.7637893691.98621063117753
82113253.25113253.832829144-0.582829143546405
83113338.5113337.3068202591.19317974057049
84113421113421.925426405-0.925426405039616
85113506.25113505.2050419931.04495800691075
86113591.5113589.73974911.76025090047915
87113668.5113674.803365042-6.3033650421421
88113753.75113754.623066324-0.873066324056708
89113836.25113837.702585414-1.45258541387739
90113921.5113920.3521867781.14781322167255
91114004114004.645912112-0.645912111867801
92114089.25114087.8132788211.43672117877577
93114174.5114172.3248683412.17513165877608
94114257114257.401458652-0.401458651802386
95114342.25114340.8880283771.36197162294411
96114424.75114425.520512413-0.770512413218967
97114510114508.8137776451.1862223551434
98114595.25114593.3613207441.88867925638624
99114672.25114678.436773216-6.18677321633731
100114757.5114758.267291923-0.767291923417361
101114840114841.356655733-1.35665573251026
102114925.25114924.015198881.23480111973186
103115007.75115008.31703827-0.567038270397461
104115093115091.4917646551.50823534466326
105115178.25115176.0100281942.23997180572769
106115260.75115261.092670137-0.342670136655215
107115346115344.5847268851.41527311515529
108115428.5115429.222185899-0.722185898906901
109115513.75115512.5199617981.23003820178565
110115599115597.0715945671.92840543300554
111115676115682.150754996-6.15075499626982
112115761.25115761.98463557-0.734635570130195
113115843.75115845.077047458-1.32704745754017
114115929115927.7383541831.26164581732883
115116011.5116012.042699204-0.542699203608208
116116096.75116095.2196973491.53030265115376
117116182116179.7400206072.25997939344961
118116264.5116264.824530018-0.32453001763497
119116349.75116348.3182799291.43172007132671
120116432.25116432.957274069-0.707274069092819

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 106636.75 & 106645 & -8.25 \tabularnewline
4 & 106722 & 106724.789303008 & -2.7893030076084 \tabularnewline
5 & 106804.5 & 106807.755239135 & -3.25523913506186 \tabularnewline
6 & 106889.75 & 106890.264746213 & -0.51474621273519 \tabularnewline
7 & 106972.25 & 106974.415441552 & -2.16544155155134 \tabularnewline
8 & 107057.5 & 107057.446220333 & 0.0537796671414981 \tabularnewline
9 & 107142.75 & 107141.830990386 & 0.919009613702656 \tabularnewline
10 & 107225.25 & 107226.791312465 & -1.54131246486213 \tabularnewline
11 & 107310.5 & 107310.171911447 & 0.328088553316775 \tabularnewline
12 & 107393 & 107394.708076497 & -1.70807649672497 \tabularnewline
13 & 107478.25 & 107477.913909705 & 0.33609029467334 \tabularnewline
14 & 107563.5 & 107562.382136963 & 1.11786303707049 \tabularnewline
15 & 107640.5 & 107647.385657558 & -6.88565755781019 \tabularnewline
16 & 107725.75 & 107727.150950074 & -1.40095007393393 \tabularnewline
17 & 107808.25 & 107810.181172198 & -1.93117219815031 \tabularnewline
18 & 107893.5 & 107892.786092286 & 0.713907714467496 \tabularnewline
19 & 107976 & 107977.03931302 & -1.03931301983539 \tabularnewline
20 & 108061.25 & 108060.169958431 & 1.0800415690901 \tabularnewline
21 & 108146.5 & 108144.648255303 & 1.85174469696358 \tabularnewline
22 & 108229 & 108229.694660935 & -0.694660934852436 \tabularnewline
23 & 108314.25 & 108313.153863575 & 1.09613642502518 \tabularnewline
24 & 108396.75 & 108397.761535009 & -1.01153500855435 \tabularnewline
25 & 108482 & 108481.032303637 & 0.967696363004507 \tabularnewline
26 & 108567.25 & 108565.559449938 & 1.69055006165581 \tabularnewline
27 & 108647 & 108650.616409418 & -3.6164094178821 \tabularnewline
28 & 108732.25 & 108732.250393565 & -0.000393565249396488 \tabularnewline
29 & 108814.75 & 108816.085910098 & -1.3359100978123 \tabularnewline
30 & 108900 & 108899.037423791 & 0.962576208665268 \tabularnewline
31 & 108982.5 & 108983.439416686 & -0.939416685869219 \tabularnewline
32 & 109067.75 & 109066.633558081 & 1.11644191852247 \tabularnewline
33 & 109153 & 109151.138624145 & 1.86137585468532 \tabularnewline
34 & 109235.5 & 109236.196012089 & -0.696012088723364 \tabularnewline
35 & 109320.75 & 109319.659438932 & 1.09056106786011 \tabularnewline
36 & 109403.25 & 109404.268466854 & -1.01846685360943 \tabularnewline
37 & 109488.5 & 109487.53939823 & 0.960601769955247 \tabularnewline
38 & 109573.75 & 109572.066231692 & 1.68376830796478 \tabularnewline
39 & 109650.75 & 109657.122708901 & -6.37270890061336 \tabularnewline
40 & 109736 & 109736.935937764 & -0.935937763788388 \tabularnewline
41 & 109818.5 & 109820.009588558 & -1.50958855764475 \tabularnewline
42 & 109903.75 & 109902.653869361 & 1.09613063868892 \tabularnewline
43 & 109986.25 & 109986.942770745 & -0.692770744673908 \tabularnewline
44 & 110071.5 & 110070.105763762 & 1.39423623814946 \tabularnewline
45 & 110156.75 & 110154.613387821 & 2.13661217855406 \tabularnewline
46 & 110239.25 & 110239.6863828 & -0.436382799845887 \tabularnewline
47 & 110324.5 & 110323.169692774 & 1.33030722585681 \tabularnewline
48 & 110407 & 110407.799221318 & -0.799221318040509 \tabularnewline
49 & 110492.25 & 110491.089806917 & 1.16019308277464 \tabularnewline
50 & 110577.5 & 110575.634920495 & 1.86507950485975 \tabularnewline
51 & 110654.5 & 110660.708170214 & -6.20817021367839 \tabularnewline
52 & 110739.75 & 110740.536691767 & -0.786691767323646 \tabularnewline
53 & 110822.25 & 110823.624244833 & -1.37424483332143 \tabularnewline
54 & 110907.5 & 110906.281146249 & 1.21885375084821 \tabularnewline
55 & 110990 & 110990.581497143 & -0.581497143386514 \tabularnewline
56 & 111075.25 & 111073.754873966 & 1.49512603432231 \tabularnewline
57 & 111160.5 & 111158.271913908 & 2.22808609249478 \tabularnewline
58 & 111243 & 111243.353446461 & -0.353446460925625 \tabularnewline
59 & 111328.25 & 111326.844497368 & 1.40550263170735 \tabularnewline
60 & 111410.75 & 111411.481044425 & -0.731044424726861 \tabularnewline
61 & 111496 & 111494.777993487 & 1.22200651324238 \tabularnewline
62 & 111581.25 & 111579.328876594 & 1.92112340644235 \tabularnewline
63 & 111658.25 & 111664.407357333 & -6.1573573328933 \tabularnewline
64 & 111743.5 & 111744.240621658 & -0.740621657721931 \tabularnewline
65 & 111826 & 111827.332474816 & -1.33247481554281 \tabularnewline
66 & 111911.25 & 111909.993274962 & 1.25672503822716 \tabularnewline
67 & 111993.75 & 111994.297160687 & -0.547160686925054 \tabularnewline
68 & 112079 & 112077.473742406 & 1.5262575938832 \tabularnewline
69 & 112164.25 & 112161.993688106 & 2.25631189384148 \tabularnewline
70 & 112246.75 & 112247.0778552 & -0.327855200084741 \tabularnewline
71 & 112332 & 112330.571294745 & 1.42870525484614 \tabularnewline
72 & 112414.5 & 112415.210007489 & -0.710007488567499 \tabularnewline
73 & 112499.75 & 112498.508920097 & 1.24107990333869 \tabularnewline
74 & 112585 & 112583.061583476 & 1.93841652396077 \tabularnewline
75 & 112664.75 & 112668.141678321 & -3.39167832076782 \tabularnewline
76 & 112750 & 112749.796638424 & 0.203361575622694 \tabularnewline
77 & 112832.5 & 112833.651173059 & -1.15117305905733 \tabularnewline
78 & 112917.75 & 112916.619929743 & 1.13007025732077 \tabularnewline
79 & 113000.25 & 113001.037556201 & -0.787556200724794 \tabularnewline
80 & 113085.5 & 113084.245871954 & 1.25412804608641 \tabularnewline
81 & 113170.75 & 113168.763789369 & 1.98621063117753 \tabularnewline
82 & 113253.25 & 113253.832829144 & -0.582829143546405 \tabularnewline
83 & 113338.5 & 113337.306820259 & 1.19317974057049 \tabularnewline
84 & 113421 & 113421.925426405 & -0.925426405039616 \tabularnewline
85 & 113506.25 & 113505.205041993 & 1.04495800691075 \tabularnewline
86 & 113591.5 & 113589.7397491 & 1.76025090047915 \tabularnewline
87 & 113668.5 & 113674.803365042 & -6.3033650421421 \tabularnewline
88 & 113753.75 & 113754.623066324 & -0.873066324056708 \tabularnewline
89 & 113836.25 & 113837.702585414 & -1.45258541387739 \tabularnewline
90 & 113921.5 & 113920.352186778 & 1.14781322167255 \tabularnewline
91 & 114004 & 114004.645912112 & -0.645912111867801 \tabularnewline
92 & 114089.25 & 114087.813278821 & 1.43672117877577 \tabularnewline
93 & 114174.5 & 114172.324868341 & 2.17513165877608 \tabularnewline
94 & 114257 & 114257.401458652 & -0.401458651802386 \tabularnewline
95 & 114342.25 & 114340.888028377 & 1.36197162294411 \tabularnewline
96 & 114424.75 & 114425.520512413 & -0.770512413218967 \tabularnewline
97 & 114510 & 114508.813777645 & 1.1862223551434 \tabularnewline
98 & 114595.25 & 114593.361320744 & 1.88867925638624 \tabularnewline
99 & 114672.25 & 114678.436773216 & -6.18677321633731 \tabularnewline
100 & 114757.5 & 114758.267291923 & -0.767291923417361 \tabularnewline
101 & 114840 & 114841.356655733 & -1.35665573251026 \tabularnewline
102 & 114925.25 & 114924.01519888 & 1.23480111973186 \tabularnewline
103 & 115007.75 & 115008.31703827 & -0.567038270397461 \tabularnewline
104 & 115093 & 115091.491764655 & 1.50823534466326 \tabularnewline
105 & 115178.25 & 115176.010028194 & 2.23997180572769 \tabularnewline
106 & 115260.75 & 115261.092670137 & -0.342670136655215 \tabularnewline
107 & 115346 & 115344.584726885 & 1.41527311515529 \tabularnewline
108 & 115428.5 & 115429.222185899 & -0.722185898906901 \tabularnewline
109 & 115513.75 & 115512.519961798 & 1.23003820178565 \tabularnewline
110 & 115599 & 115597.071594567 & 1.92840543300554 \tabularnewline
111 & 115676 & 115682.150754996 & -6.15075499626982 \tabularnewline
112 & 115761.25 & 115761.98463557 & -0.734635570130195 \tabularnewline
113 & 115843.75 & 115845.077047458 & -1.32704745754017 \tabularnewline
114 & 115929 & 115927.738354183 & 1.26164581732883 \tabularnewline
115 & 116011.5 & 116012.042699204 & -0.542699203608208 \tabularnewline
116 & 116096.75 & 116095.219697349 & 1.53030265115376 \tabularnewline
117 & 116182 & 116179.740020607 & 2.25997939344961 \tabularnewline
118 & 116264.5 & 116264.824530018 & -0.32453001763497 \tabularnewline
119 & 116349.75 & 116348.318279929 & 1.43172007132671 \tabularnewline
120 & 116432.25 & 116432.957274069 & -0.707274069092819 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296071&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]3[/C][C]106636.75[/C][C]106645[/C][C]-8.25[/C][/ROW]
[ROW][C]4[/C][C]106722[/C][C]106724.789303008[/C][C]-2.7893030076084[/C][/ROW]
[ROW][C]5[/C][C]106804.5[/C][C]106807.755239135[/C][C]-3.25523913506186[/C][/ROW]
[ROW][C]6[/C][C]106889.75[/C][C]106890.264746213[/C][C]-0.51474621273519[/C][/ROW]
[ROW][C]7[/C][C]106972.25[/C][C]106974.415441552[/C][C]-2.16544155155134[/C][/ROW]
[ROW][C]8[/C][C]107057.5[/C][C]107057.446220333[/C][C]0.0537796671414981[/C][/ROW]
[ROW][C]9[/C][C]107142.75[/C][C]107141.830990386[/C][C]0.919009613702656[/C][/ROW]
[ROW][C]10[/C][C]107225.25[/C][C]107226.791312465[/C][C]-1.54131246486213[/C][/ROW]
[ROW][C]11[/C][C]107310.5[/C][C]107310.171911447[/C][C]0.328088553316775[/C][/ROW]
[ROW][C]12[/C][C]107393[/C][C]107394.708076497[/C][C]-1.70807649672497[/C][/ROW]
[ROW][C]13[/C][C]107478.25[/C][C]107477.913909705[/C][C]0.33609029467334[/C][/ROW]
[ROW][C]14[/C][C]107563.5[/C][C]107562.382136963[/C][C]1.11786303707049[/C][/ROW]
[ROW][C]15[/C][C]107640.5[/C][C]107647.385657558[/C][C]-6.88565755781019[/C][/ROW]
[ROW][C]16[/C][C]107725.75[/C][C]107727.150950074[/C][C]-1.40095007393393[/C][/ROW]
[ROW][C]17[/C][C]107808.25[/C][C]107810.181172198[/C][C]-1.93117219815031[/C][/ROW]
[ROW][C]18[/C][C]107893.5[/C][C]107892.786092286[/C][C]0.713907714467496[/C][/ROW]
[ROW][C]19[/C][C]107976[/C][C]107977.03931302[/C][C]-1.03931301983539[/C][/ROW]
[ROW][C]20[/C][C]108061.25[/C][C]108060.169958431[/C][C]1.0800415690901[/C][/ROW]
[ROW][C]21[/C][C]108146.5[/C][C]108144.648255303[/C][C]1.85174469696358[/C][/ROW]
[ROW][C]22[/C][C]108229[/C][C]108229.694660935[/C][C]-0.694660934852436[/C][/ROW]
[ROW][C]23[/C][C]108314.25[/C][C]108313.153863575[/C][C]1.09613642502518[/C][/ROW]
[ROW][C]24[/C][C]108396.75[/C][C]108397.761535009[/C][C]-1.01153500855435[/C][/ROW]
[ROW][C]25[/C][C]108482[/C][C]108481.032303637[/C][C]0.967696363004507[/C][/ROW]
[ROW][C]26[/C][C]108567.25[/C][C]108565.559449938[/C][C]1.69055006165581[/C][/ROW]
[ROW][C]27[/C][C]108647[/C][C]108650.616409418[/C][C]-3.6164094178821[/C][/ROW]
[ROW][C]28[/C][C]108732.25[/C][C]108732.250393565[/C][C]-0.000393565249396488[/C][/ROW]
[ROW][C]29[/C][C]108814.75[/C][C]108816.085910098[/C][C]-1.3359100978123[/C][/ROW]
[ROW][C]30[/C][C]108900[/C][C]108899.037423791[/C][C]0.962576208665268[/C][/ROW]
[ROW][C]31[/C][C]108982.5[/C][C]108983.439416686[/C][C]-0.939416685869219[/C][/ROW]
[ROW][C]32[/C][C]109067.75[/C][C]109066.633558081[/C][C]1.11644191852247[/C][/ROW]
[ROW][C]33[/C][C]109153[/C][C]109151.138624145[/C][C]1.86137585468532[/C][/ROW]
[ROW][C]34[/C][C]109235.5[/C][C]109236.196012089[/C][C]-0.696012088723364[/C][/ROW]
[ROW][C]35[/C][C]109320.75[/C][C]109319.659438932[/C][C]1.09056106786011[/C][/ROW]
[ROW][C]36[/C][C]109403.25[/C][C]109404.268466854[/C][C]-1.01846685360943[/C][/ROW]
[ROW][C]37[/C][C]109488.5[/C][C]109487.53939823[/C][C]0.960601769955247[/C][/ROW]
[ROW][C]38[/C][C]109573.75[/C][C]109572.066231692[/C][C]1.68376830796478[/C][/ROW]
[ROW][C]39[/C][C]109650.75[/C][C]109657.122708901[/C][C]-6.37270890061336[/C][/ROW]
[ROW][C]40[/C][C]109736[/C][C]109736.935937764[/C][C]-0.935937763788388[/C][/ROW]
[ROW][C]41[/C][C]109818.5[/C][C]109820.009588558[/C][C]-1.50958855764475[/C][/ROW]
[ROW][C]42[/C][C]109903.75[/C][C]109902.653869361[/C][C]1.09613063868892[/C][/ROW]
[ROW][C]43[/C][C]109986.25[/C][C]109986.942770745[/C][C]-0.692770744673908[/C][/ROW]
[ROW][C]44[/C][C]110071.5[/C][C]110070.105763762[/C][C]1.39423623814946[/C][/ROW]
[ROW][C]45[/C][C]110156.75[/C][C]110154.613387821[/C][C]2.13661217855406[/C][/ROW]
[ROW][C]46[/C][C]110239.25[/C][C]110239.6863828[/C][C]-0.436382799845887[/C][/ROW]
[ROW][C]47[/C][C]110324.5[/C][C]110323.169692774[/C][C]1.33030722585681[/C][/ROW]
[ROW][C]48[/C][C]110407[/C][C]110407.799221318[/C][C]-0.799221318040509[/C][/ROW]
[ROW][C]49[/C][C]110492.25[/C][C]110491.089806917[/C][C]1.16019308277464[/C][/ROW]
[ROW][C]50[/C][C]110577.5[/C][C]110575.634920495[/C][C]1.86507950485975[/C][/ROW]
[ROW][C]51[/C][C]110654.5[/C][C]110660.708170214[/C][C]-6.20817021367839[/C][/ROW]
[ROW][C]52[/C][C]110739.75[/C][C]110740.536691767[/C][C]-0.786691767323646[/C][/ROW]
[ROW][C]53[/C][C]110822.25[/C][C]110823.624244833[/C][C]-1.37424483332143[/C][/ROW]
[ROW][C]54[/C][C]110907.5[/C][C]110906.281146249[/C][C]1.21885375084821[/C][/ROW]
[ROW][C]55[/C][C]110990[/C][C]110990.581497143[/C][C]-0.581497143386514[/C][/ROW]
[ROW][C]56[/C][C]111075.25[/C][C]111073.754873966[/C][C]1.49512603432231[/C][/ROW]
[ROW][C]57[/C][C]111160.5[/C][C]111158.271913908[/C][C]2.22808609249478[/C][/ROW]
[ROW][C]58[/C][C]111243[/C][C]111243.353446461[/C][C]-0.353446460925625[/C][/ROW]
[ROW][C]59[/C][C]111328.25[/C][C]111326.844497368[/C][C]1.40550263170735[/C][/ROW]
[ROW][C]60[/C][C]111410.75[/C][C]111411.481044425[/C][C]-0.731044424726861[/C][/ROW]
[ROW][C]61[/C][C]111496[/C][C]111494.777993487[/C][C]1.22200651324238[/C][/ROW]
[ROW][C]62[/C][C]111581.25[/C][C]111579.328876594[/C][C]1.92112340644235[/C][/ROW]
[ROW][C]63[/C][C]111658.25[/C][C]111664.407357333[/C][C]-6.1573573328933[/C][/ROW]
[ROW][C]64[/C][C]111743.5[/C][C]111744.240621658[/C][C]-0.740621657721931[/C][/ROW]
[ROW][C]65[/C][C]111826[/C][C]111827.332474816[/C][C]-1.33247481554281[/C][/ROW]
[ROW][C]66[/C][C]111911.25[/C][C]111909.993274962[/C][C]1.25672503822716[/C][/ROW]
[ROW][C]67[/C][C]111993.75[/C][C]111994.297160687[/C][C]-0.547160686925054[/C][/ROW]
[ROW][C]68[/C][C]112079[/C][C]112077.473742406[/C][C]1.5262575938832[/C][/ROW]
[ROW][C]69[/C][C]112164.25[/C][C]112161.993688106[/C][C]2.25631189384148[/C][/ROW]
[ROW][C]70[/C][C]112246.75[/C][C]112247.0778552[/C][C]-0.327855200084741[/C][/ROW]
[ROW][C]71[/C][C]112332[/C][C]112330.571294745[/C][C]1.42870525484614[/C][/ROW]
[ROW][C]72[/C][C]112414.5[/C][C]112415.210007489[/C][C]-0.710007488567499[/C][/ROW]
[ROW][C]73[/C][C]112499.75[/C][C]112498.508920097[/C][C]1.24107990333869[/C][/ROW]
[ROW][C]74[/C][C]112585[/C][C]112583.061583476[/C][C]1.93841652396077[/C][/ROW]
[ROW][C]75[/C][C]112664.75[/C][C]112668.141678321[/C][C]-3.39167832076782[/C][/ROW]
[ROW][C]76[/C][C]112750[/C][C]112749.796638424[/C][C]0.203361575622694[/C][/ROW]
[ROW][C]77[/C][C]112832.5[/C][C]112833.651173059[/C][C]-1.15117305905733[/C][/ROW]
[ROW][C]78[/C][C]112917.75[/C][C]112916.619929743[/C][C]1.13007025732077[/C][/ROW]
[ROW][C]79[/C][C]113000.25[/C][C]113001.037556201[/C][C]-0.787556200724794[/C][/ROW]
[ROW][C]80[/C][C]113085.5[/C][C]113084.245871954[/C][C]1.25412804608641[/C][/ROW]
[ROW][C]81[/C][C]113170.75[/C][C]113168.763789369[/C][C]1.98621063117753[/C][/ROW]
[ROW][C]82[/C][C]113253.25[/C][C]113253.832829144[/C][C]-0.582829143546405[/C][/ROW]
[ROW][C]83[/C][C]113338.5[/C][C]113337.306820259[/C][C]1.19317974057049[/C][/ROW]
[ROW][C]84[/C][C]113421[/C][C]113421.925426405[/C][C]-0.925426405039616[/C][/ROW]
[ROW][C]85[/C][C]113506.25[/C][C]113505.205041993[/C][C]1.04495800691075[/C][/ROW]
[ROW][C]86[/C][C]113591.5[/C][C]113589.7397491[/C][C]1.76025090047915[/C][/ROW]
[ROW][C]87[/C][C]113668.5[/C][C]113674.803365042[/C][C]-6.3033650421421[/C][/ROW]
[ROW][C]88[/C][C]113753.75[/C][C]113754.623066324[/C][C]-0.873066324056708[/C][/ROW]
[ROW][C]89[/C][C]113836.25[/C][C]113837.702585414[/C][C]-1.45258541387739[/C][/ROW]
[ROW][C]90[/C][C]113921.5[/C][C]113920.352186778[/C][C]1.14781322167255[/C][/ROW]
[ROW][C]91[/C][C]114004[/C][C]114004.645912112[/C][C]-0.645912111867801[/C][/ROW]
[ROW][C]92[/C][C]114089.25[/C][C]114087.813278821[/C][C]1.43672117877577[/C][/ROW]
[ROW][C]93[/C][C]114174.5[/C][C]114172.324868341[/C][C]2.17513165877608[/C][/ROW]
[ROW][C]94[/C][C]114257[/C][C]114257.401458652[/C][C]-0.401458651802386[/C][/ROW]
[ROW][C]95[/C][C]114342.25[/C][C]114340.888028377[/C][C]1.36197162294411[/C][/ROW]
[ROW][C]96[/C][C]114424.75[/C][C]114425.520512413[/C][C]-0.770512413218967[/C][/ROW]
[ROW][C]97[/C][C]114510[/C][C]114508.813777645[/C][C]1.1862223551434[/C][/ROW]
[ROW][C]98[/C][C]114595.25[/C][C]114593.361320744[/C][C]1.88867925638624[/C][/ROW]
[ROW][C]99[/C][C]114672.25[/C][C]114678.436773216[/C][C]-6.18677321633731[/C][/ROW]
[ROW][C]100[/C][C]114757.5[/C][C]114758.267291923[/C][C]-0.767291923417361[/C][/ROW]
[ROW][C]101[/C][C]114840[/C][C]114841.356655733[/C][C]-1.35665573251026[/C][/ROW]
[ROW][C]102[/C][C]114925.25[/C][C]114924.01519888[/C][C]1.23480111973186[/C][/ROW]
[ROW][C]103[/C][C]115007.75[/C][C]115008.31703827[/C][C]-0.567038270397461[/C][/ROW]
[ROW][C]104[/C][C]115093[/C][C]115091.491764655[/C][C]1.50823534466326[/C][/ROW]
[ROW][C]105[/C][C]115178.25[/C][C]115176.010028194[/C][C]2.23997180572769[/C][/ROW]
[ROW][C]106[/C][C]115260.75[/C][C]115261.092670137[/C][C]-0.342670136655215[/C][/ROW]
[ROW][C]107[/C][C]115346[/C][C]115344.584726885[/C][C]1.41527311515529[/C][/ROW]
[ROW][C]108[/C][C]115428.5[/C][C]115429.222185899[/C][C]-0.722185898906901[/C][/ROW]
[ROW][C]109[/C][C]115513.75[/C][C]115512.519961798[/C][C]1.23003820178565[/C][/ROW]
[ROW][C]110[/C][C]115599[/C][C]115597.071594567[/C][C]1.92840543300554[/C][/ROW]
[ROW][C]111[/C][C]115676[/C][C]115682.150754996[/C][C]-6.15075499626982[/C][/ROW]
[ROW][C]112[/C][C]115761.25[/C][C]115761.98463557[/C][C]-0.734635570130195[/C][/ROW]
[ROW][C]113[/C][C]115843.75[/C][C]115845.077047458[/C][C]-1.32704745754017[/C][/ROW]
[ROW][C]114[/C][C]115929[/C][C]115927.738354183[/C][C]1.26164581732883[/C][/ROW]
[ROW][C]115[/C][C]116011.5[/C][C]116012.042699204[/C][C]-0.542699203608208[/C][/ROW]
[ROW][C]116[/C][C]116096.75[/C][C]116095.219697349[/C][C]1.53030265115376[/C][/ROW]
[ROW][C]117[/C][C]116182[/C][C]116179.740020607[/C][C]2.25997939344961[/C][/ROW]
[ROW][C]118[/C][C]116264.5[/C][C]116264.824530018[/C][C]-0.32453001763497[/C][/ROW]
[ROW][C]119[/C][C]116349.75[/C][C]116348.318279929[/C][C]1.43172007132671[/C][/ROW]
[ROW][C]120[/C][C]116432.25[/C][C]116432.957274069[/C][C]-0.707274069092819[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296071&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296071&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
3106636.75106645-8.25
4106722106724.789303008-2.7893030076084
5106804.5106807.755239135-3.25523913506186
6106889.75106890.264746213-0.51474621273519
7106972.25106974.415441552-2.16544155155134
8107057.5107057.4462203330.0537796671414981
9107142.75107141.8309903860.919009613702656
10107225.25107226.791312465-1.54131246486213
11107310.5107310.1719114470.328088553316775
12107393107394.708076497-1.70807649672497
13107478.25107477.9139097050.33609029467334
14107563.5107562.3821369631.11786303707049
15107640.5107647.385657558-6.88565755781019
16107725.75107727.150950074-1.40095007393393
17107808.25107810.181172198-1.93117219815031
18107893.5107892.7860922860.713907714467496
19107976107977.03931302-1.03931301983539
20108061.25108060.1699584311.0800415690901
21108146.5108144.6482553031.85174469696358
22108229108229.694660935-0.694660934852436
23108314.25108313.1538635751.09613642502518
24108396.75108397.761535009-1.01153500855435
25108482108481.0323036370.967696363004507
26108567.25108565.5594499381.69055006165581
27108647108650.616409418-3.6164094178821
28108732.25108732.250393565-0.000393565249396488
29108814.75108816.085910098-1.3359100978123
30108900108899.0374237910.962576208665268
31108982.5108983.439416686-0.939416685869219
32109067.75109066.6335580811.11644191852247
33109153109151.1386241451.86137585468532
34109235.5109236.196012089-0.696012088723364
35109320.75109319.6594389321.09056106786011
36109403.25109404.268466854-1.01846685360943
37109488.5109487.539398230.960601769955247
38109573.75109572.0662316921.68376830796478
39109650.75109657.122708901-6.37270890061336
40109736109736.935937764-0.935937763788388
41109818.5109820.009588558-1.50958855764475
42109903.75109902.6538693611.09613063868892
43109986.25109986.942770745-0.692770744673908
44110071.5110070.1057637621.39423623814946
45110156.75110154.6133878212.13661217855406
46110239.25110239.6863828-0.436382799845887
47110324.5110323.1696927741.33030722585681
48110407110407.799221318-0.799221318040509
49110492.25110491.0898069171.16019308277464
50110577.5110575.6349204951.86507950485975
51110654.5110660.708170214-6.20817021367839
52110739.75110740.536691767-0.786691767323646
53110822.25110823.624244833-1.37424483332143
54110907.5110906.2811462491.21885375084821
55110990110990.581497143-0.581497143386514
56111075.25111073.7548739661.49512603432231
57111160.5111158.2719139082.22808609249478
58111243111243.353446461-0.353446460925625
59111328.25111326.8444973681.40550263170735
60111410.75111411.481044425-0.731044424726861
61111496111494.7779934871.22200651324238
62111581.25111579.3288765941.92112340644235
63111658.25111664.407357333-6.1573573328933
64111743.5111744.240621658-0.740621657721931
65111826111827.332474816-1.33247481554281
66111911.25111909.9932749621.25672503822716
67111993.75111994.297160687-0.547160686925054
68112079112077.4737424061.5262575938832
69112164.25112161.9936881062.25631189384148
70112246.75112247.0778552-0.327855200084741
71112332112330.5712947451.42870525484614
72112414.5112415.210007489-0.710007488567499
73112499.75112498.5089200971.24107990333869
74112585112583.0615834761.93841652396077
75112664.75112668.141678321-3.39167832076782
76112750112749.7966384240.203361575622694
77112832.5112833.651173059-1.15117305905733
78112917.75112916.6199297431.13007025732077
79113000.25113001.037556201-0.787556200724794
80113085.5113084.2458719541.25412804608641
81113170.75113168.7637893691.98621063117753
82113253.25113253.832829144-0.582829143546405
83113338.5113337.3068202591.19317974057049
84113421113421.925426405-0.925426405039616
85113506.25113505.2050419931.04495800691075
86113591.5113589.73974911.76025090047915
87113668.5113674.803365042-6.3033650421421
88113753.75113754.623066324-0.873066324056708
89113836.25113837.702585414-1.45258541387739
90113921.5113920.3521867781.14781322167255
91114004114004.645912112-0.645912111867801
92114089.25114087.8132788211.43672117877577
93114174.5114172.3248683412.17513165877608
94114257114257.401458652-0.401458651802386
95114342.25114340.8880283771.36197162294411
96114424.75114425.520512413-0.770512413218967
97114510114508.8137776451.1862223551434
98114595.25114593.3613207441.88867925638624
99114672.25114678.436773216-6.18677321633731
100114757.5114758.267291923-0.767291923417361
101114840114841.356655733-1.35665573251026
102114925.25114924.015198881.23480111973186
103115007.75115008.31703827-0.567038270397461
104115093115091.4917646551.50823534466326
105115178.25115176.0100281942.23997180572769
106115260.75115261.092670137-0.342670136655215
107115346115344.5847268851.41527311515529
108115428.5115429.222185899-0.722185898906901
109115513.75115512.5199617981.23003820178565
110115599115597.0715945671.92840543300554
111115676115682.150754996-6.15075499626982
112115761.25115761.98463557-0.734635570130195
113115843.75115845.077047458-1.32704745754017
114115929115927.7383541831.26164581732883
115116011.5116012.042699204-0.542699203608208
116116096.75116095.2196973491.53030265115376
117116182116179.7400206072.25997939344961
118116264.5116264.824530018-0.32453001763497
119116349.75116348.3182799291.43172007132671
120116432.25116432.957274069-0.707274069092819







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
121116516.256441809116511.983428378116520.529455241
122116599.986222025116594.861962855116605.110481196
123116683.716002242116677.750136035116689.681868448
124116767.445782458116760.636812668116774.254752248
125116851.175562674116843.515771214116858.835354135
126116934.905342891116926.383288584116943.427397197
127117018.635123107117009.237042136117028.033204078
128117102.364903323117092.075549731117112.654256915
129117186.094683539117174.897859569117197.291507509
130117269.824463756117257.703367349117281.945560162
131117353.554243972117340.491703111117366.616784833
132117437.284024188117423.262658451117451.305389926

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 116516.256441809 & 116511.983428378 & 116520.529455241 \tabularnewline
122 & 116599.986222025 & 116594.861962855 & 116605.110481196 \tabularnewline
123 & 116683.716002242 & 116677.750136035 & 116689.681868448 \tabularnewline
124 & 116767.445782458 & 116760.636812668 & 116774.254752248 \tabularnewline
125 & 116851.175562674 & 116843.515771214 & 116858.835354135 \tabularnewline
126 & 116934.905342891 & 116926.383288584 & 116943.427397197 \tabularnewline
127 & 117018.635123107 & 117009.237042136 & 117028.033204078 \tabularnewline
128 & 117102.364903323 & 117092.075549731 & 117112.654256915 \tabularnewline
129 & 117186.094683539 & 117174.897859569 & 117197.291507509 \tabularnewline
130 & 117269.824463756 & 117257.703367349 & 117281.945560162 \tabularnewline
131 & 117353.554243972 & 117340.491703111 & 117366.616784833 \tabularnewline
132 & 117437.284024188 & 117423.262658451 & 117451.305389926 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296071&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]121[/C][C]116516.256441809[/C][C]116511.983428378[/C][C]116520.529455241[/C][/ROW]
[ROW][C]122[/C][C]116599.986222025[/C][C]116594.861962855[/C][C]116605.110481196[/C][/ROW]
[ROW][C]123[/C][C]116683.716002242[/C][C]116677.750136035[/C][C]116689.681868448[/C][/ROW]
[ROW][C]124[/C][C]116767.445782458[/C][C]116760.636812668[/C][C]116774.254752248[/C][/ROW]
[ROW][C]125[/C][C]116851.175562674[/C][C]116843.515771214[/C][C]116858.835354135[/C][/ROW]
[ROW][C]126[/C][C]116934.905342891[/C][C]116926.383288584[/C][C]116943.427397197[/C][/ROW]
[ROW][C]127[/C][C]117018.635123107[/C][C]117009.237042136[/C][C]117028.033204078[/C][/ROW]
[ROW][C]128[/C][C]117102.364903323[/C][C]117092.075549731[/C][C]117112.654256915[/C][/ROW]
[ROW][C]129[/C][C]117186.094683539[/C][C]117174.897859569[/C][C]117197.291507509[/C][/ROW]
[ROW][C]130[/C][C]117269.824463756[/C][C]117257.703367349[/C][C]117281.945560162[/C][/ROW]
[ROW][C]131[/C][C]117353.554243972[/C][C]117340.491703111[/C][C]117366.616784833[/C][/ROW]
[ROW][C]132[/C][C]117437.284024188[/C][C]117423.262658451[/C][C]117451.305389926[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296071&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296071&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
121116516.256441809116511.983428378116520.529455241
122116599.986222025116594.861962855116605.110481196
123116683.716002242116677.750136035116689.681868448
124116767.445782458116760.636812668116774.254752248
125116851.175562674116843.515771214116858.835354135
126116934.905342891116926.383288584116943.427397197
127117018.635123107117009.237042136117028.033204078
128117102.364903323117092.075549731117112.654256915
129117186.094683539117174.897859569117197.291507509
130117269.824463756117257.703367349117281.945560162
131117353.554243972117340.491703111117366.616784833
132117437.284024188117423.262658451117451.305389926



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