Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 31 May 2021 21:21:51 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2021/May/31/t16224889780nscqig0zl26zjp.htm/, Retrieved Fri, 19 Apr 2024 08:25:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319448, Retrieved Fri, 19 Apr 2024 08:25:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2021-05-31 19:21:51] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
3.089687511
2.820061507
2.604040557
2.237798779
2.064783708
2.460321005
2.579635721
2.622380542
3.36972197
3.866239256
3.782556996
3.486544
3.560235161
3.79368312
3.797199223
3.853425403
3.304265726
3.596425938
3.627381199
3.718733607
4.15042576
3.5381404
4.059637365
4.541024848
3.192191052
3.420764414
3.703130058
2.856236094
2.72013438
2.780911321
3.039851086
2.886697125
2.376367167
3.312760232
3.334238072
3.174196678
3.684077654
3.840130345
3.727837739
3.8874362
4.024884028
3.653483655
4.569710047
4.126548311
3.766787543
2.864388328
4.094131663
3.386819021
3.503443016
3.272177755
3.40519714
3.472362039
3.609824437
2.730183454
3.406713897
2.50210704
2.912656034
2.134073195
3.18260829
3.035632417
3.625164771
3.971415115
3.849165875
4.304022056
4.576891503
3.714060924
4.365703348
4.503488893
4.539175735
4.067356604
3.565446391
3.545495746
3.908499731
4.852775545
4.069836444
4.70926799
4.468692803
4.228992763
2.671861379
3.680124777
2.326323607
2.698756539
2.906172536
3.021760735
2.419864148
3.041847213
3.586530369
2.833921704
3.03558185
3.48675761
4.047724986
4.726870241
3.962898545
3.996844624
3.616675688
4.219350065
4.713360311
4.144038028
3.939931061
2.927189043
4.23724153
4.790710798
2.970995549
3.414233716
3.117208913
2.953675281
2.60032929
2.684560041
3.071204864
2.447474589
3.1676476
3.095930228
3.7331813
4.035545058
3.9278554
4.440257835
3.794753511
3.91470167
3.696880308
4.515557634
4.902714081
3.052419698
4.140574781
4.035862951
3.672131838
3.901606602
2.910216404
3.704220106
3.646439201
3.748108569
2.742220487
3.594378441
3.215100958
2.52694464
2.966995643




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319448&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319448&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319448&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 time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.122289931531039
beta0
gamma0.441017824817012

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.122289931531039 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.441017824817012 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319448&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]0.122289931531039[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.441017824817012[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319448&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319448&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
alpha0.122289931531039
beta0
gamma0.441017824817012







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
282.8562360942.741756449978240.114479644021757
292.720134382.628986351242590.0911480287574071
302.7809113212.678389826170050.102521494829948
313.0398510862.923421135818130.116429950181872
322.8866971252.782204805000370.104492319999626
332.3763671672.316921309501290.0594458574987144
343.3127602323.250689481261320.0620707507386804
353.3342380723.312048788813720.0221892831862762
363.1741966783.160015117652010.0141815603479909
373.6840776543.70480463505713-0.0207269810571251
383.8401303453.90439942647211-0.0642690814721094
393.7278377393.77787976429752-0.0500420252975169
403.88743623.92836547499655-0.0409292749965515
414.0248840284.008592143676320.0162918843236799
423.6534836553.93449594838186-0.281012293381858
434.5697100473.964067267588930.605642779411069
444.1265483113.486429944198760.640118366801242
453.7667875433.83117365506706-0.0643861120670581
462.8643883283.82782301378458-0.963434685784577
474.0941316633.808475570053180.285656092946822
483.3868190214.25195693605482-0.865137915054818
493.5034430163.51151793457457-0.0080749185745721
503.2721777554.04327820443687-0.771100449436867
513.405197144.4411237008921-1.0359265608921
523.4723620392.967483279050570.504878759949427
533.6098244373.252870533508530.356953903491467
542.7301834543.57077859754666-0.840595143546657
553.4067138972.660847865922270.745866031077735
562.502107042.61625862861436-0.114151588614359
572.9126560342.64495853443540.267697499564604
582.1340731952.91557297175409-0.781499776754086
593.182608292.659927989156930.522680300843066
603.0356324172.228347827893920.807284589106083
613.6251647713.254585205799380.370579565200625
623.9714151153.338234485965960.633180629034043
633.8491658753.257819228971370.591346646028628
644.3040220563.859677625025930.444344430974071
654.5768915034.099291439446160.477600063553844
663.7140609244.04454400912623-0.330483085126226
674.3657033484.164262017926040.201441330073956
684.5034888934.296277668691470.207211224308526
694.5391757354.130446765336510.408728969663487
704.0673566044.58757807144348-0.520221467443484
713.5654463913.98560389620794-0.420157505207937
723.5454957463.92798287389318-0.382487127893177
733.9084997313.537722758060440.370776972939559
744.8527755454.165041251613850.687734293386147
754.0698364444.21223673100796-0.142400287007962
764.709267993.891938167548750.817329822451248
774.4686928034.229280789922670.239412013077329
784.2289927634.64819136293163-0.419198599931629
792.6718613793.84639439869244-1.17453301969244
803.6801247773.86914689239055-0.189022115390553
812.3263236073.65673337325438-1.33040976625438
822.6987565393.30099981445061-0.602243275450608
832.9061725362.758649786732740.147522749267263
843.0217607352.967158183548580.0546025514514201
852.4198641482.80558390270241-0.38571975470241
863.0418472133.10316840130329-0.061321188303292
873.5865303692.710337012316720.876193356683278
882.8339217043.57595893160479-0.742037227604793
893.035581853.62519551935148-0.589613669351477
903.486757613.379051491170410.10770611882959
914.0477249863.864863052425250.182861933574749
924.7268702414.085372972791950.641497268208048
933.9628985453.737871020280530.225027524719468
943.9968446244.13142276345656-0.134578139456562
953.6166756884.22458006034041-0.607904372340411
964.2193500654.037073381177090.182276683822913
974.7133603114.106928343379110.606431967620889
984.1440380283.681465876970580.462572151029417
993.9399310613.746375471459780.193555589540221
1002.9271890433.71813740604692-0.79094836304692
1014.237241534.32607826106975-0.0888367310697529
1024.7907107983.956973627167210.83373717083279
1032.9709955494.12754472960785-1.15654918060785
1043.4142337163.9997980548152-0.585564338815202
1053.1172089134.06288351994822-0.945674606948221
1062.9536752812.904324623884320.0493506571156801
1072.600329293.45822303085205-0.857893740852052
1082.6845600412.72219831136447-0.037638270364468
1093.0712048642.806420588139240.264784275860762
1102.4474745892.66032307071308-0.212848481713083
1113.16764762.78879360663260.378853993367404
1123.0959302282.496429506791420.599500721208579
1133.73318133.040066623732040.693114676267961
1144.0355450583.102393698766160.933151359233844
1153.92785543.348586951906310.579268448093692
1164.4402578353.618406912997660.82185092200234
1173.7947535113.81479337080658-0.0200398598065803
1183.914701674.31407463264483-0.39937296264483
1193.6968803084.64091430605227-0.944033998052269
1204.5155576343.93830832587250.577249308127501
1214.9027140814.235735005939480.666979075060524
1223.0524196984.24369682318557-1.19127712518557
1234.1405747814.29071738460766-0.150142603607665
1244.0358629514.48410529599273-0.448242344992733
1253.6721318383.87398069004078-0.201848852040776
1263.9016066023.753505798616530.148100803383466
1272.9102164043.33862158498119-0.42840518098119
1283.7042201064.26267525328918-0.558455147289175
1293.6464392014.19325625865934-0.546817057659338
1303.7481085693.424587923870360.323520645129641
1312.7422204873.69885900256014-0.956638515560145
1323.5943784413.577172266121410.0172061748785888
1333.2151009582.921524130589770.293576827410231
1342.526944643.1541075290306-0.627162889030596
1352.9669956432.76380810248590.203187540514097

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
28 & 2.856236094 & 2.74175644997824 & 0.114479644021757 \tabularnewline
29 & 2.72013438 & 2.62898635124259 & 0.0911480287574071 \tabularnewline
30 & 2.780911321 & 2.67838982617005 & 0.102521494829948 \tabularnewline
31 & 3.039851086 & 2.92342113581813 & 0.116429950181872 \tabularnewline
32 & 2.886697125 & 2.78220480500037 & 0.104492319999626 \tabularnewline
33 & 2.376367167 & 2.31692130950129 & 0.0594458574987144 \tabularnewline
34 & 3.312760232 & 3.25068948126132 & 0.0620707507386804 \tabularnewline
35 & 3.334238072 & 3.31204878881372 & 0.0221892831862762 \tabularnewline
36 & 3.174196678 & 3.16001511765201 & 0.0141815603479909 \tabularnewline
37 & 3.684077654 & 3.70480463505713 & -0.0207269810571251 \tabularnewline
38 & 3.840130345 & 3.90439942647211 & -0.0642690814721094 \tabularnewline
39 & 3.727837739 & 3.77787976429752 & -0.0500420252975169 \tabularnewline
40 & 3.8874362 & 3.92836547499655 & -0.0409292749965515 \tabularnewline
41 & 4.024884028 & 4.00859214367632 & 0.0162918843236799 \tabularnewline
42 & 3.653483655 & 3.93449594838186 & -0.281012293381858 \tabularnewline
43 & 4.569710047 & 3.96406726758893 & 0.605642779411069 \tabularnewline
44 & 4.126548311 & 3.48642994419876 & 0.640118366801242 \tabularnewline
45 & 3.766787543 & 3.83117365506706 & -0.0643861120670581 \tabularnewline
46 & 2.864388328 & 3.82782301378458 & -0.963434685784577 \tabularnewline
47 & 4.094131663 & 3.80847557005318 & 0.285656092946822 \tabularnewline
48 & 3.386819021 & 4.25195693605482 & -0.865137915054818 \tabularnewline
49 & 3.503443016 & 3.51151793457457 & -0.0080749185745721 \tabularnewline
50 & 3.272177755 & 4.04327820443687 & -0.771100449436867 \tabularnewline
51 & 3.40519714 & 4.4411237008921 & -1.0359265608921 \tabularnewline
52 & 3.472362039 & 2.96748327905057 & 0.504878759949427 \tabularnewline
53 & 3.609824437 & 3.25287053350853 & 0.356953903491467 \tabularnewline
54 & 2.730183454 & 3.57077859754666 & -0.840595143546657 \tabularnewline
55 & 3.406713897 & 2.66084786592227 & 0.745866031077735 \tabularnewline
56 & 2.50210704 & 2.61625862861436 & -0.114151588614359 \tabularnewline
57 & 2.912656034 & 2.6449585344354 & 0.267697499564604 \tabularnewline
58 & 2.134073195 & 2.91557297175409 & -0.781499776754086 \tabularnewline
59 & 3.18260829 & 2.65992798915693 & 0.522680300843066 \tabularnewline
60 & 3.035632417 & 2.22834782789392 & 0.807284589106083 \tabularnewline
61 & 3.625164771 & 3.25458520579938 & 0.370579565200625 \tabularnewline
62 & 3.971415115 & 3.33823448596596 & 0.633180629034043 \tabularnewline
63 & 3.849165875 & 3.25781922897137 & 0.591346646028628 \tabularnewline
64 & 4.304022056 & 3.85967762502593 & 0.444344430974071 \tabularnewline
65 & 4.576891503 & 4.09929143944616 & 0.477600063553844 \tabularnewline
66 & 3.714060924 & 4.04454400912623 & -0.330483085126226 \tabularnewline
67 & 4.365703348 & 4.16426201792604 & 0.201441330073956 \tabularnewline
68 & 4.503488893 & 4.29627766869147 & 0.207211224308526 \tabularnewline
69 & 4.539175735 & 4.13044676533651 & 0.408728969663487 \tabularnewline
70 & 4.067356604 & 4.58757807144348 & -0.520221467443484 \tabularnewline
71 & 3.565446391 & 3.98560389620794 & -0.420157505207937 \tabularnewline
72 & 3.545495746 & 3.92798287389318 & -0.382487127893177 \tabularnewline
73 & 3.908499731 & 3.53772275806044 & 0.370776972939559 \tabularnewline
74 & 4.852775545 & 4.16504125161385 & 0.687734293386147 \tabularnewline
75 & 4.069836444 & 4.21223673100796 & -0.142400287007962 \tabularnewline
76 & 4.70926799 & 3.89193816754875 & 0.817329822451248 \tabularnewline
77 & 4.468692803 & 4.22928078992267 & 0.239412013077329 \tabularnewline
78 & 4.228992763 & 4.64819136293163 & -0.419198599931629 \tabularnewline
79 & 2.671861379 & 3.84639439869244 & -1.17453301969244 \tabularnewline
80 & 3.680124777 & 3.86914689239055 & -0.189022115390553 \tabularnewline
81 & 2.326323607 & 3.65673337325438 & -1.33040976625438 \tabularnewline
82 & 2.698756539 & 3.30099981445061 & -0.602243275450608 \tabularnewline
83 & 2.906172536 & 2.75864978673274 & 0.147522749267263 \tabularnewline
84 & 3.021760735 & 2.96715818354858 & 0.0546025514514201 \tabularnewline
85 & 2.419864148 & 2.80558390270241 & -0.38571975470241 \tabularnewline
86 & 3.041847213 & 3.10316840130329 & -0.061321188303292 \tabularnewline
87 & 3.586530369 & 2.71033701231672 & 0.876193356683278 \tabularnewline
88 & 2.833921704 & 3.57595893160479 & -0.742037227604793 \tabularnewline
89 & 3.03558185 & 3.62519551935148 & -0.589613669351477 \tabularnewline
90 & 3.48675761 & 3.37905149117041 & 0.10770611882959 \tabularnewline
91 & 4.047724986 & 3.86486305242525 & 0.182861933574749 \tabularnewline
92 & 4.726870241 & 4.08537297279195 & 0.641497268208048 \tabularnewline
93 & 3.962898545 & 3.73787102028053 & 0.225027524719468 \tabularnewline
94 & 3.996844624 & 4.13142276345656 & -0.134578139456562 \tabularnewline
95 & 3.616675688 & 4.22458006034041 & -0.607904372340411 \tabularnewline
96 & 4.219350065 & 4.03707338117709 & 0.182276683822913 \tabularnewline
97 & 4.713360311 & 4.10692834337911 & 0.606431967620889 \tabularnewline
98 & 4.144038028 & 3.68146587697058 & 0.462572151029417 \tabularnewline
99 & 3.939931061 & 3.74637547145978 & 0.193555589540221 \tabularnewline
100 & 2.927189043 & 3.71813740604692 & -0.79094836304692 \tabularnewline
101 & 4.23724153 & 4.32607826106975 & -0.0888367310697529 \tabularnewline
102 & 4.790710798 & 3.95697362716721 & 0.83373717083279 \tabularnewline
103 & 2.970995549 & 4.12754472960785 & -1.15654918060785 \tabularnewline
104 & 3.414233716 & 3.9997980548152 & -0.585564338815202 \tabularnewline
105 & 3.117208913 & 4.06288351994822 & -0.945674606948221 \tabularnewline
106 & 2.953675281 & 2.90432462388432 & 0.0493506571156801 \tabularnewline
107 & 2.60032929 & 3.45822303085205 & -0.857893740852052 \tabularnewline
108 & 2.684560041 & 2.72219831136447 & -0.037638270364468 \tabularnewline
109 & 3.071204864 & 2.80642058813924 & 0.264784275860762 \tabularnewline
110 & 2.447474589 & 2.66032307071308 & -0.212848481713083 \tabularnewline
111 & 3.1676476 & 2.7887936066326 & 0.378853993367404 \tabularnewline
112 & 3.095930228 & 2.49642950679142 & 0.599500721208579 \tabularnewline
113 & 3.7331813 & 3.04006662373204 & 0.693114676267961 \tabularnewline
114 & 4.035545058 & 3.10239369876616 & 0.933151359233844 \tabularnewline
115 & 3.9278554 & 3.34858695190631 & 0.579268448093692 \tabularnewline
116 & 4.440257835 & 3.61840691299766 & 0.82185092200234 \tabularnewline
117 & 3.794753511 & 3.81479337080658 & -0.0200398598065803 \tabularnewline
118 & 3.91470167 & 4.31407463264483 & -0.39937296264483 \tabularnewline
119 & 3.696880308 & 4.64091430605227 & -0.944033998052269 \tabularnewline
120 & 4.515557634 & 3.9383083258725 & 0.577249308127501 \tabularnewline
121 & 4.902714081 & 4.23573500593948 & 0.666979075060524 \tabularnewline
122 & 3.052419698 & 4.24369682318557 & -1.19127712518557 \tabularnewline
123 & 4.140574781 & 4.29071738460766 & -0.150142603607665 \tabularnewline
124 & 4.035862951 & 4.48410529599273 & -0.448242344992733 \tabularnewline
125 & 3.672131838 & 3.87398069004078 & -0.201848852040776 \tabularnewline
126 & 3.901606602 & 3.75350579861653 & 0.148100803383466 \tabularnewline
127 & 2.910216404 & 3.33862158498119 & -0.42840518098119 \tabularnewline
128 & 3.704220106 & 4.26267525328918 & -0.558455147289175 \tabularnewline
129 & 3.646439201 & 4.19325625865934 & -0.546817057659338 \tabularnewline
130 & 3.748108569 & 3.42458792387036 & 0.323520645129641 \tabularnewline
131 & 2.742220487 & 3.69885900256014 & -0.956638515560145 \tabularnewline
132 & 3.594378441 & 3.57717226612141 & 0.0172061748785888 \tabularnewline
133 & 3.215100958 & 2.92152413058977 & 0.293576827410231 \tabularnewline
134 & 2.52694464 & 3.1541075290306 & -0.627162889030596 \tabularnewline
135 & 2.966995643 & 2.7638081024859 & 0.203187540514097 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319448&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]28[/C][C]2.856236094[/C][C]2.74175644997824[/C][C]0.114479644021757[/C][/ROW]
[ROW][C]29[/C][C]2.72013438[/C][C]2.62898635124259[/C][C]0.0911480287574071[/C][/ROW]
[ROW][C]30[/C][C]2.780911321[/C][C]2.67838982617005[/C][C]0.102521494829948[/C][/ROW]
[ROW][C]31[/C][C]3.039851086[/C][C]2.92342113581813[/C][C]0.116429950181872[/C][/ROW]
[ROW][C]32[/C][C]2.886697125[/C][C]2.78220480500037[/C][C]0.104492319999626[/C][/ROW]
[ROW][C]33[/C][C]2.376367167[/C][C]2.31692130950129[/C][C]0.0594458574987144[/C][/ROW]
[ROW][C]34[/C][C]3.312760232[/C][C]3.25068948126132[/C][C]0.0620707507386804[/C][/ROW]
[ROW][C]35[/C][C]3.334238072[/C][C]3.31204878881372[/C][C]0.0221892831862762[/C][/ROW]
[ROW][C]36[/C][C]3.174196678[/C][C]3.16001511765201[/C][C]0.0141815603479909[/C][/ROW]
[ROW][C]37[/C][C]3.684077654[/C][C]3.70480463505713[/C][C]-0.0207269810571251[/C][/ROW]
[ROW][C]38[/C][C]3.840130345[/C][C]3.90439942647211[/C][C]-0.0642690814721094[/C][/ROW]
[ROW][C]39[/C][C]3.727837739[/C][C]3.77787976429752[/C][C]-0.0500420252975169[/C][/ROW]
[ROW][C]40[/C][C]3.8874362[/C][C]3.92836547499655[/C][C]-0.0409292749965515[/C][/ROW]
[ROW][C]41[/C][C]4.024884028[/C][C]4.00859214367632[/C][C]0.0162918843236799[/C][/ROW]
[ROW][C]42[/C][C]3.653483655[/C][C]3.93449594838186[/C][C]-0.281012293381858[/C][/ROW]
[ROW][C]43[/C][C]4.569710047[/C][C]3.96406726758893[/C][C]0.605642779411069[/C][/ROW]
[ROW][C]44[/C][C]4.126548311[/C][C]3.48642994419876[/C][C]0.640118366801242[/C][/ROW]
[ROW][C]45[/C][C]3.766787543[/C][C]3.83117365506706[/C][C]-0.0643861120670581[/C][/ROW]
[ROW][C]46[/C][C]2.864388328[/C][C]3.82782301378458[/C][C]-0.963434685784577[/C][/ROW]
[ROW][C]47[/C][C]4.094131663[/C][C]3.80847557005318[/C][C]0.285656092946822[/C][/ROW]
[ROW][C]48[/C][C]3.386819021[/C][C]4.25195693605482[/C][C]-0.865137915054818[/C][/ROW]
[ROW][C]49[/C][C]3.503443016[/C][C]3.51151793457457[/C][C]-0.0080749185745721[/C][/ROW]
[ROW][C]50[/C][C]3.272177755[/C][C]4.04327820443687[/C][C]-0.771100449436867[/C][/ROW]
[ROW][C]51[/C][C]3.40519714[/C][C]4.4411237008921[/C][C]-1.0359265608921[/C][/ROW]
[ROW][C]52[/C][C]3.472362039[/C][C]2.96748327905057[/C][C]0.504878759949427[/C][/ROW]
[ROW][C]53[/C][C]3.609824437[/C][C]3.25287053350853[/C][C]0.356953903491467[/C][/ROW]
[ROW][C]54[/C][C]2.730183454[/C][C]3.57077859754666[/C][C]-0.840595143546657[/C][/ROW]
[ROW][C]55[/C][C]3.406713897[/C][C]2.66084786592227[/C][C]0.745866031077735[/C][/ROW]
[ROW][C]56[/C][C]2.50210704[/C][C]2.61625862861436[/C][C]-0.114151588614359[/C][/ROW]
[ROW][C]57[/C][C]2.912656034[/C][C]2.6449585344354[/C][C]0.267697499564604[/C][/ROW]
[ROW][C]58[/C][C]2.134073195[/C][C]2.91557297175409[/C][C]-0.781499776754086[/C][/ROW]
[ROW][C]59[/C][C]3.18260829[/C][C]2.65992798915693[/C][C]0.522680300843066[/C][/ROW]
[ROW][C]60[/C][C]3.035632417[/C][C]2.22834782789392[/C][C]0.807284589106083[/C][/ROW]
[ROW][C]61[/C][C]3.625164771[/C][C]3.25458520579938[/C][C]0.370579565200625[/C][/ROW]
[ROW][C]62[/C][C]3.971415115[/C][C]3.33823448596596[/C][C]0.633180629034043[/C][/ROW]
[ROW][C]63[/C][C]3.849165875[/C][C]3.25781922897137[/C][C]0.591346646028628[/C][/ROW]
[ROW][C]64[/C][C]4.304022056[/C][C]3.85967762502593[/C][C]0.444344430974071[/C][/ROW]
[ROW][C]65[/C][C]4.576891503[/C][C]4.09929143944616[/C][C]0.477600063553844[/C][/ROW]
[ROW][C]66[/C][C]3.714060924[/C][C]4.04454400912623[/C][C]-0.330483085126226[/C][/ROW]
[ROW][C]67[/C][C]4.365703348[/C][C]4.16426201792604[/C][C]0.201441330073956[/C][/ROW]
[ROW][C]68[/C][C]4.503488893[/C][C]4.29627766869147[/C][C]0.207211224308526[/C][/ROW]
[ROW][C]69[/C][C]4.539175735[/C][C]4.13044676533651[/C][C]0.408728969663487[/C][/ROW]
[ROW][C]70[/C][C]4.067356604[/C][C]4.58757807144348[/C][C]-0.520221467443484[/C][/ROW]
[ROW][C]71[/C][C]3.565446391[/C][C]3.98560389620794[/C][C]-0.420157505207937[/C][/ROW]
[ROW][C]72[/C][C]3.545495746[/C][C]3.92798287389318[/C][C]-0.382487127893177[/C][/ROW]
[ROW][C]73[/C][C]3.908499731[/C][C]3.53772275806044[/C][C]0.370776972939559[/C][/ROW]
[ROW][C]74[/C][C]4.852775545[/C][C]4.16504125161385[/C][C]0.687734293386147[/C][/ROW]
[ROW][C]75[/C][C]4.069836444[/C][C]4.21223673100796[/C][C]-0.142400287007962[/C][/ROW]
[ROW][C]76[/C][C]4.70926799[/C][C]3.89193816754875[/C][C]0.817329822451248[/C][/ROW]
[ROW][C]77[/C][C]4.468692803[/C][C]4.22928078992267[/C][C]0.239412013077329[/C][/ROW]
[ROW][C]78[/C][C]4.228992763[/C][C]4.64819136293163[/C][C]-0.419198599931629[/C][/ROW]
[ROW][C]79[/C][C]2.671861379[/C][C]3.84639439869244[/C][C]-1.17453301969244[/C][/ROW]
[ROW][C]80[/C][C]3.680124777[/C][C]3.86914689239055[/C][C]-0.189022115390553[/C][/ROW]
[ROW][C]81[/C][C]2.326323607[/C][C]3.65673337325438[/C][C]-1.33040976625438[/C][/ROW]
[ROW][C]82[/C][C]2.698756539[/C][C]3.30099981445061[/C][C]-0.602243275450608[/C][/ROW]
[ROW][C]83[/C][C]2.906172536[/C][C]2.75864978673274[/C][C]0.147522749267263[/C][/ROW]
[ROW][C]84[/C][C]3.021760735[/C][C]2.96715818354858[/C][C]0.0546025514514201[/C][/ROW]
[ROW][C]85[/C][C]2.419864148[/C][C]2.80558390270241[/C][C]-0.38571975470241[/C][/ROW]
[ROW][C]86[/C][C]3.041847213[/C][C]3.10316840130329[/C][C]-0.061321188303292[/C][/ROW]
[ROW][C]87[/C][C]3.586530369[/C][C]2.71033701231672[/C][C]0.876193356683278[/C][/ROW]
[ROW][C]88[/C][C]2.833921704[/C][C]3.57595893160479[/C][C]-0.742037227604793[/C][/ROW]
[ROW][C]89[/C][C]3.03558185[/C][C]3.62519551935148[/C][C]-0.589613669351477[/C][/ROW]
[ROW][C]90[/C][C]3.48675761[/C][C]3.37905149117041[/C][C]0.10770611882959[/C][/ROW]
[ROW][C]91[/C][C]4.047724986[/C][C]3.86486305242525[/C][C]0.182861933574749[/C][/ROW]
[ROW][C]92[/C][C]4.726870241[/C][C]4.08537297279195[/C][C]0.641497268208048[/C][/ROW]
[ROW][C]93[/C][C]3.962898545[/C][C]3.73787102028053[/C][C]0.225027524719468[/C][/ROW]
[ROW][C]94[/C][C]3.996844624[/C][C]4.13142276345656[/C][C]-0.134578139456562[/C][/ROW]
[ROW][C]95[/C][C]3.616675688[/C][C]4.22458006034041[/C][C]-0.607904372340411[/C][/ROW]
[ROW][C]96[/C][C]4.219350065[/C][C]4.03707338117709[/C][C]0.182276683822913[/C][/ROW]
[ROW][C]97[/C][C]4.713360311[/C][C]4.10692834337911[/C][C]0.606431967620889[/C][/ROW]
[ROW][C]98[/C][C]4.144038028[/C][C]3.68146587697058[/C][C]0.462572151029417[/C][/ROW]
[ROW][C]99[/C][C]3.939931061[/C][C]3.74637547145978[/C][C]0.193555589540221[/C][/ROW]
[ROW][C]100[/C][C]2.927189043[/C][C]3.71813740604692[/C][C]-0.79094836304692[/C][/ROW]
[ROW][C]101[/C][C]4.23724153[/C][C]4.32607826106975[/C][C]-0.0888367310697529[/C][/ROW]
[ROW][C]102[/C][C]4.790710798[/C][C]3.95697362716721[/C][C]0.83373717083279[/C][/ROW]
[ROW][C]103[/C][C]2.970995549[/C][C]4.12754472960785[/C][C]-1.15654918060785[/C][/ROW]
[ROW][C]104[/C][C]3.414233716[/C][C]3.9997980548152[/C][C]-0.585564338815202[/C][/ROW]
[ROW][C]105[/C][C]3.117208913[/C][C]4.06288351994822[/C][C]-0.945674606948221[/C][/ROW]
[ROW][C]106[/C][C]2.953675281[/C][C]2.90432462388432[/C][C]0.0493506571156801[/C][/ROW]
[ROW][C]107[/C][C]2.60032929[/C][C]3.45822303085205[/C][C]-0.857893740852052[/C][/ROW]
[ROW][C]108[/C][C]2.684560041[/C][C]2.72219831136447[/C][C]-0.037638270364468[/C][/ROW]
[ROW][C]109[/C][C]3.071204864[/C][C]2.80642058813924[/C][C]0.264784275860762[/C][/ROW]
[ROW][C]110[/C][C]2.447474589[/C][C]2.66032307071308[/C][C]-0.212848481713083[/C][/ROW]
[ROW][C]111[/C][C]3.1676476[/C][C]2.7887936066326[/C][C]0.378853993367404[/C][/ROW]
[ROW][C]112[/C][C]3.095930228[/C][C]2.49642950679142[/C][C]0.599500721208579[/C][/ROW]
[ROW][C]113[/C][C]3.7331813[/C][C]3.04006662373204[/C][C]0.693114676267961[/C][/ROW]
[ROW][C]114[/C][C]4.035545058[/C][C]3.10239369876616[/C][C]0.933151359233844[/C][/ROW]
[ROW][C]115[/C][C]3.9278554[/C][C]3.34858695190631[/C][C]0.579268448093692[/C][/ROW]
[ROW][C]116[/C][C]4.440257835[/C][C]3.61840691299766[/C][C]0.82185092200234[/C][/ROW]
[ROW][C]117[/C][C]3.794753511[/C][C]3.81479337080658[/C][C]-0.0200398598065803[/C][/ROW]
[ROW][C]118[/C][C]3.91470167[/C][C]4.31407463264483[/C][C]-0.39937296264483[/C][/ROW]
[ROW][C]119[/C][C]3.696880308[/C][C]4.64091430605227[/C][C]-0.944033998052269[/C][/ROW]
[ROW][C]120[/C][C]4.515557634[/C][C]3.9383083258725[/C][C]0.577249308127501[/C][/ROW]
[ROW][C]121[/C][C]4.902714081[/C][C]4.23573500593948[/C][C]0.666979075060524[/C][/ROW]
[ROW][C]122[/C][C]3.052419698[/C][C]4.24369682318557[/C][C]-1.19127712518557[/C][/ROW]
[ROW][C]123[/C][C]4.140574781[/C][C]4.29071738460766[/C][C]-0.150142603607665[/C][/ROW]
[ROW][C]124[/C][C]4.035862951[/C][C]4.48410529599273[/C][C]-0.448242344992733[/C][/ROW]
[ROW][C]125[/C][C]3.672131838[/C][C]3.87398069004078[/C][C]-0.201848852040776[/C][/ROW]
[ROW][C]126[/C][C]3.901606602[/C][C]3.75350579861653[/C][C]0.148100803383466[/C][/ROW]
[ROW][C]127[/C][C]2.910216404[/C][C]3.33862158498119[/C][C]-0.42840518098119[/C][/ROW]
[ROW][C]128[/C][C]3.704220106[/C][C]4.26267525328918[/C][C]-0.558455147289175[/C][/ROW]
[ROW][C]129[/C][C]3.646439201[/C][C]4.19325625865934[/C][C]-0.546817057659338[/C][/ROW]
[ROW][C]130[/C][C]3.748108569[/C][C]3.42458792387036[/C][C]0.323520645129641[/C][/ROW]
[ROW][C]131[/C][C]2.742220487[/C][C]3.69885900256014[/C][C]-0.956638515560145[/C][/ROW]
[ROW][C]132[/C][C]3.594378441[/C][C]3.57717226612141[/C][C]0.0172061748785888[/C][/ROW]
[ROW][C]133[/C][C]3.215100958[/C][C]2.92152413058977[/C][C]0.293576827410231[/C][/ROW]
[ROW][C]134[/C][C]2.52694464[/C][C]3.1541075290306[/C][C]-0.627162889030596[/C][/ROW]
[ROW][C]135[/C][C]2.966995643[/C][C]2.7638081024859[/C][C]0.203187540514097[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319448&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319448&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
282.8562360942.741756449978240.114479644021757
292.720134382.628986351242590.0911480287574071
302.7809113212.678389826170050.102521494829948
313.0398510862.923421135818130.116429950181872
322.8866971252.782204805000370.104492319999626
332.3763671672.316921309501290.0594458574987144
343.3127602323.250689481261320.0620707507386804
353.3342380723.312048788813720.0221892831862762
363.1741966783.160015117652010.0141815603479909
373.6840776543.70480463505713-0.0207269810571251
383.8401303453.90439942647211-0.0642690814721094
393.7278377393.77787976429752-0.0500420252975169
403.88743623.92836547499655-0.0409292749965515
414.0248840284.008592143676320.0162918843236799
423.6534836553.93449594838186-0.281012293381858
434.5697100473.964067267588930.605642779411069
444.1265483113.486429944198760.640118366801242
453.7667875433.83117365506706-0.0643861120670581
462.8643883283.82782301378458-0.963434685784577
474.0941316633.808475570053180.285656092946822
483.3868190214.25195693605482-0.865137915054818
493.5034430163.51151793457457-0.0080749185745721
503.2721777554.04327820443687-0.771100449436867
513.405197144.4411237008921-1.0359265608921
523.4723620392.967483279050570.504878759949427
533.6098244373.252870533508530.356953903491467
542.7301834543.57077859754666-0.840595143546657
553.4067138972.660847865922270.745866031077735
562.502107042.61625862861436-0.114151588614359
572.9126560342.64495853443540.267697499564604
582.1340731952.91557297175409-0.781499776754086
593.182608292.659927989156930.522680300843066
603.0356324172.228347827893920.807284589106083
613.6251647713.254585205799380.370579565200625
623.9714151153.338234485965960.633180629034043
633.8491658753.257819228971370.591346646028628
644.3040220563.859677625025930.444344430974071
654.5768915034.099291439446160.477600063553844
663.7140609244.04454400912623-0.330483085126226
674.3657033484.164262017926040.201441330073956
684.5034888934.296277668691470.207211224308526
694.5391757354.130446765336510.408728969663487
704.0673566044.58757807144348-0.520221467443484
713.5654463913.98560389620794-0.420157505207937
723.5454957463.92798287389318-0.382487127893177
733.9084997313.537722758060440.370776972939559
744.8527755454.165041251613850.687734293386147
754.0698364444.21223673100796-0.142400287007962
764.709267993.891938167548750.817329822451248
774.4686928034.229280789922670.239412013077329
784.2289927634.64819136293163-0.419198599931629
792.6718613793.84639439869244-1.17453301969244
803.6801247773.86914689239055-0.189022115390553
812.3263236073.65673337325438-1.33040976625438
822.6987565393.30099981445061-0.602243275450608
832.9061725362.758649786732740.147522749267263
843.0217607352.967158183548580.0546025514514201
852.4198641482.80558390270241-0.38571975470241
863.0418472133.10316840130329-0.061321188303292
873.5865303692.710337012316720.876193356683278
882.8339217043.57595893160479-0.742037227604793
893.035581853.62519551935148-0.589613669351477
903.486757613.379051491170410.10770611882959
914.0477249863.864863052425250.182861933574749
924.7268702414.085372972791950.641497268208048
933.9628985453.737871020280530.225027524719468
943.9968446244.13142276345656-0.134578139456562
953.6166756884.22458006034041-0.607904372340411
964.2193500654.037073381177090.182276683822913
974.7133603114.106928343379110.606431967620889
984.1440380283.681465876970580.462572151029417
993.9399310613.746375471459780.193555589540221
1002.9271890433.71813740604692-0.79094836304692
1014.237241534.32607826106975-0.0888367310697529
1024.7907107983.956973627167210.83373717083279
1032.9709955494.12754472960785-1.15654918060785
1043.4142337163.9997980548152-0.585564338815202
1053.1172089134.06288351994822-0.945674606948221
1062.9536752812.904324623884320.0493506571156801
1072.600329293.45822303085205-0.857893740852052
1082.6845600412.72219831136447-0.037638270364468
1093.0712048642.806420588139240.264784275860762
1102.4474745892.66032307071308-0.212848481713083
1113.16764762.78879360663260.378853993367404
1123.0959302282.496429506791420.599500721208579
1133.73318133.040066623732040.693114676267961
1144.0355450583.102393698766160.933151359233844
1153.92785543.348586951906310.579268448093692
1164.4402578353.618406912997660.82185092200234
1173.7947535113.81479337080658-0.0200398598065803
1183.914701674.31407463264483-0.39937296264483
1193.6968803084.64091430605227-0.944033998052269
1204.5155576343.93830832587250.577249308127501
1214.9027140814.235735005939480.666979075060524
1223.0524196984.24369682318557-1.19127712518557
1234.1405747814.29071738460766-0.150142603607665
1244.0358629514.48410529599273-0.448242344992733
1253.6721318383.87398069004078-0.201848852040776
1263.9016066023.753505798616530.148100803383466
1272.9102164043.33862158498119-0.42840518098119
1283.7042201064.26267525328918-0.558455147289175
1293.6464392014.19325625865934-0.546817057659338
1303.7481085693.424587923870360.323520645129641
1312.7422204873.69885900256014-0.956638515560145
1323.5943784413.577172266121410.0172061748785888
1333.2151009582.921524130589770.293576827410231
1342.526944643.1541075290306-0.627162889030596
1352.9669956432.76380810248590.203187540514097







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1362.994544419956591.92664870500984.06244013490337
1372.631181600554491.555330420358433.70703278075054
1383.014720979910061.930972731534644.09846922828548
1392.76143606306151.669847876159343.85302424996366
1403.267996909154072.168624691153324.36736912715482
1413.338477825790752.23137630486354.44557934671801
1423.333573018568832.218795784513984.44835025262368
1433.626454508197322.504054051366284.74885496502837
1443.396452918683092.266480667067124.52642517029907
1453.751350401634352.613856756223694.88884404704501
1463.916198822731632.771233191248675.06116445421459
1473.91790583864552.765516667746745.07029500954425
1484.179473857635763.019708663670935.33923905160058
1493.386566289054982.219471687465294.55366089064468
1503.982276422351162.807898155783125.15665468891921
1514.078635089984532.897018055190725.26025212477833
1523.618701428402512.429889701995644.80751315480937
1533.658371156429972.462408019552414.85433429330753
1543.002218434049551.799146396016274.20529047208284
1553.928321249281612.718182070250915.13846042831231
1563.93170063543972.714535348162485.14886592271693
1573.56679787427922.342646804974354.79094894358404
1583.305974221509922.074877009910554.53707143310929
1593.678236180316072.440231798928314.91624056170383
1603.127463053882531.882589826496374.37233628126869
1612.967739706082051.716035325571064.21944408659303
1622.975552834320611.717054379765374.23405128887585
1633.102790352707821.73176482424484.47381588117084
1642.739427533305721.362196433008874.11665863360256
1653.122966912661291.739558076650624.50637574867197
1662.869681995812741.480122888944684.25924110268079
1673.37624284190531.980560565952964.77192511785764
1683.446723758541982.04494506012524.84850245695877
1693.441818951320062.033970229595114.84966767304502
1703.734700440948562.320807755066725.14859312683039
1713.504698851434332.084787927778314.92460977509035
1723.859596334385582.433692573592025.28550009517915
1734.024444755482872.592573239259165.45631627170657
1744.026151771396732.58833726913985.46396627365366
1754.287719790386992.843986765611335.73145281516265
1763.494812221806222.045184838388184.94443960522425
1774.090522355102392.635024483347525.54602022685727
1784.186881022735762.725536245275455.64822580019607
1793.726947361153742.259778978677465.19411574363002
1803.76661708918122.293648126010015.23958605235239
1813.110464366800791.631717576307854.58921115729372
1824.036567182032842.552065051916255.52106931214944
1834.039946568190932.549711325603965.53018181077791
1843.675043807030432.179097423574195.17099019048667
1853.414220154261151.912584350844314.915855957678
1863.78648211306732.279178364637385.29378586149723
1873.235708986633761.722758526784384.74865944648314
1883.075985638833281.557409464291484.59456181337507
1893.083798767071841.559617642069454.60797989207423
1903.211036285459051.592697402099664.82937516881844
1912.847673466056951.224073994105674.47127293800823
1923.231212845412521.602369774626394.86005591619866
1932.977927928563971.343858085143694.61199777198424
1943.484488774656531.845208823854015.12376872545905
1953.554969691293221.910496139961165.19944324262527
1963.55006488407131.900414083156695.1997156849859
1973.842946373699792.188134520682735.49775822671685
1983.612944784185561.952987925465045.27290164290608
1993.967842267136822.302756300364885.63292823390876
2004.13269068823412.462491364599825.80289001186837
2014.134397704147962.459100630612665.80969477768326
2024.395965723138222.715586364623166.07634508165328
2033.603058154557451.917611836085395.28850447302951
2044.198768287853632.508270196645425.88926637906183
2054.295126955486992.59959214301455.99066176795948
2063.835193293904972.134636677901355.53574990990859
2073.874863021932432.169299388361055.58042665550382
2083.218710299552021.508154304534974.92926629456907
2094.144813114784072.429279286491465.86034694307669
2104.148192500942172.427695241443085.86868976044125
2113.783289739781662.057843326857925.50873615270541
2123.522466087012391.792084675935935.25284749808885
2133.894728045818532.159425671093455.63003042054361
2143.343954919384991.603745496455085.0841643423149
2153.184231571584511.439128898507194.92933424466183
2163.192044699823071.442062458910574.94202694073558
2173.319282218210281.486707394884235.15185704153634
2182.955919398808181.11869731451464.79314148310177
2193.339458778163761.49760115854615.18131639778141
2203.08617386131521.239692343706334.93265537892407
2213.592734707407771.741640841932895.44382857288264
2223.663215624044451.807520874704935.51891037338397
2233.658310816822531.798026562560885.51859507108417
2243.951192306451022.08632984219765.81605477070445
2253.721190716936791.851761254638495.59062017923509
2264.076088199888052.202102869519525.95007353025658
2274.240936620985332.362406471542956.11946677042771
2284.242643636899192.359579637378326.12570763642007
2294.504211655889452.616624696245186.39179861553372
2303.711304087308681.819204979400585.60340319521679
2314.307014220604862.410413699125926.2036147420838
2324.403372888238222.502281611628466.30446416484799
2333.94343922665622.037867778001165.84901067531125
2343.983108954683672.073067842598165.89315006676917
2353.326956232303251.41245589180075.2414565728058
2364.253059047535312.334109840882896.17200825418772
2374.25643843369342.33305065125346.1798262161334
2383.89153567253291.963719533590435.81935181147536
2393.630712019763621.698477673341185.56294636618606
2404.002973978569772.066331504228645.93961645291089
2413.452200852136231.511160260765285.39324144350717
2423.292477504335741.347048738927665.23790626974382
2433.30029063257431.350483568989615.250097696159
2443.427528150961521.403265266654215.45179103526882
2453.064165331559421.035694299300965.09263636381787
2463.447704710914991.415034242629685.4803751792003
2473.194419794066431.157558547793935.23128104033894
2483.7009806401591.659937220607545.74202405971046
2493.771461556795681.726244515887345.81667859770402
2503.766556749573761.717174586981975.81593891216555
2514.059438239202252.005899402881656.11297707552285
2523.829436649688021.771749536396865.88712376297919
2534.184334132639282.122507088454436.24616117682414
2544.349182553736562.28322387456136.41514123291183
2554.350889569650432.280807501715166.4209716375857
2564.612457588640692.538260328996686.68665484828469
2573.819550020059911.741245717066195.89785432305364
2584.415260153356092.332856907159576.49766339955261
2594.511618820989462.425124683998576.59811295798034
2604.051685159407431.961108136759176.1422621820557
2614.09135488743491.996702937455516.18600683741428
2623.435202165054481.336483199713965.533921130395
2634.361304980286542.258526865646886.4640830949262
2644.364684366444632.257854923102086.47151380978718
2653.999781605284131.888908608805516.11065460176275
2663.738957952514851.624049133868015.85386677116169
2674.1112199113211.992282957299546.23015686534245
2683.560446784887461.437489338529845.68340423124508
2693.400723437086981.273753098090025.52769377608393
2703.408536565325541.277560890452555.53951224019852

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
136 & 2.99454441995659 & 1.9266487050098 & 4.06244013490337 \tabularnewline
137 & 2.63118160055449 & 1.55533042035843 & 3.70703278075054 \tabularnewline
138 & 3.01472097991006 & 1.93097273153464 & 4.09846922828548 \tabularnewline
139 & 2.7614360630615 & 1.66984787615934 & 3.85302424996366 \tabularnewline
140 & 3.26799690915407 & 2.16862469115332 & 4.36736912715482 \tabularnewline
141 & 3.33847782579075 & 2.2313763048635 & 4.44557934671801 \tabularnewline
142 & 3.33357301856883 & 2.21879578451398 & 4.44835025262368 \tabularnewline
143 & 3.62645450819732 & 2.50405405136628 & 4.74885496502837 \tabularnewline
144 & 3.39645291868309 & 2.26648066706712 & 4.52642517029907 \tabularnewline
145 & 3.75135040163435 & 2.61385675622369 & 4.88884404704501 \tabularnewline
146 & 3.91619882273163 & 2.77123319124867 & 5.06116445421459 \tabularnewline
147 & 3.9179058386455 & 2.76551666774674 & 5.07029500954425 \tabularnewline
148 & 4.17947385763576 & 3.01970866367093 & 5.33923905160058 \tabularnewline
149 & 3.38656628905498 & 2.21947168746529 & 4.55366089064468 \tabularnewline
150 & 3.98227642235116 & 2.80789815578312 & 5.15665468891921 \tabularnewline
151 & 4.07863508998453 & 2.89701805519072 & 5.26025212477833 \tabularnewline
152 & 3.61870142840251 & 2.42988970199564 & 4.80751315480937 \tabularnewline
153 & 3.65837115642997 & 2.46240801955241 & 4.85433429330753 \tabularnewline
154 & 3.00221843404955 & 1.79914639601627 & 4.20529047208284 \tabularnewline
155 & 3.92832124928161 & 2.71818207025091 & 5.13846042831231 \tabularnewline
156 & 3.9317006354397 & 2.71453534816248 & 5.14886592271693 \tabularnewline
157 & 3.5667978742792 & 2.34264680497435 & 4.79094894358404 \tabularnewline
158 & 3.30597422150992 & 2.07487700991055 & 4.53707143310929 \tabularnewline
159 & 3.67823618031607 & 2.44023179892831 & 4.91624056170383 \tabularnewline
160 & 3.12746305388253 & 1.88258982649637 & 4.37233628126869 \tabularnewline
161 & 2.96773970608205 & 1.71603532557106 & 4.21944408659303 \tabularnewline
162 & 2.97555283432061 & 1.71705437976537 & 4.23405128887585 \tabularnewline
163 & 3.10279035270782 & 1.7317648242448 & 4.47381588117084 \tabularnewline
164 & 2.73942753330572 & 1.36219643300887 & 4.11665863360256 \tabularnewline
165 & 3.12296691266129 & 1.73955807665062 & 4.50637574867197 \tabularnewline
166 & 2.86968199581274 & 1.48012288894468 & 4.25924110268079 \tabularnewline
167 & 3.3762428419053 & 1.98056056595296 & 4.77192511785764 \tabularnewline
168 & 3.44672375854198 & 2.0449450601252 & 4.84850245695877 \tabularnewline
169 & 3.44181895132006 & 2.03397022959511 & 4.84966767304502 \tabularnewline
170 & 3.73470044094856 & 2.32080775506672 & 5.14859312683039 \tabularnewline
171 & 3.50469885143433 & 2.08478792777831 & 4.92460977509035 \tabularnewline
172 & 3.85959633438558 & 2.43369257359202 & 5.28550009517915 \tabularnewline
173 & 4.02444475548287 & 2.59257323925916 & 5.45631627170657 \tabularnewline
174 & 4.02615177139673 & 2.5883372691398 & 5.46396627365366 \tabularnewline
175 & 4.28771979038699 & 2.84398676561133 & 5.73145281516265 \tabularnewline
176 & 3.49481222180622 & 2.04518483838818 & 4.94443960522425 \tabularnewline
177 & 4.09052235510239 & 2.63502448334752 & 5.54602022685727 \tabularnewline
178 & 4.18688102273576 & 2.72553624527545 & 5.64822580019607 \tabularnewline
179 & 3.72694736115374 & 2.25977897867746 & 5.19411574363002 \tabularnewline
180 & 3.7666170891812 & 2.29364812601001 & 5.23958605235239 \tabularnewline
181 & 3.11046436680079 & 1.63171757630785 & 4.58921115729372 \tabularnewline
182 & 4.03656718203284 & 2.55206505191625 & 5.52106931214944 \tabularnewline
183 & 4.03994656819093 & 2.54971132560396 & 5.53018181077791 \tabularnewline
184 & 3.67504380703043 & 2.17909742357419 & 5.17099019048667 \tabularnewline
185 & 3.41422015426115 & 1.91258435084431 & 4.915855957678 \tabularnewline
186 & 3.7864821130673 & 2.27917836463738 & 5.29378586149723 \tabularnewline
187 & 3.23570898663376 & 1.72275852678438 & 4.74865944648314 \tabularnewline
188 & 3.07598563883328 & 1.55740946429148 & 4.59456181337507 \tabularnewline
189 & 3.08379876707184 & 1.55961764206945 & 4.60797989207423 \tabularnewline
190 & 3.21103628545905 & 1.59269740209966 & 4.82937516881844 \tabularnewline
191 & 2.84767346605695 & 1.22407399410567 & 4.47127293800823 \tabularnewline
192 & 3.23121284541252 & 1.60236977462639 & 4.86005591619866 \tabularnewline
193 & 2.97792792856397 & 1.34385808514369 & 4.61199777198424 \tabularnewline
194 & 3.48448877465653 & 1.84520882385401 & 5.12376872545905 \tabularnewline
195 & 3.55496969129322 & 1.91049613996116 & 5.19944324262527 \tabularnewline
196 & 3.5500648840713 & 1.90041408315669 & 5.1997156849859 \tabularnewline
197 & 3.84294637369979 & 2.18813452068273 & 5.49775822671685 \tabularnewline
198 & 3.61294478418556 & 1.95298792546504 & 5.27290164290608 \tabularnewline
199 & 3.96784226713682 & 2.30275630036488 & 5.63292823390876 \tabularnewline
200 & 4.1326906882341 & 2.46249136459982 & 5.80289001186837 \tabularnewline
201 & 4.13439770414796 & 2.45910063061266 & 5.80969477768326 \tabularnewline
202 & 4.39596572313822 & 2.71558636462316 & 6.07634508165328 \tabularnewline
203 & 3.60305815455745 & 1.91761183608539 & 5.28850447302951 \tabularnewline
204 & 4.19876828785363 & 2.50827019664542 & 5.88926637906183 \tabularnewline
205 & 4.29512695548699 & 2.5995921430145 & 5.99066176795948 \tabularnewline
206 & 3.83519329390497 & 2.13463667790135 & 5.53574990990859 \tabularnewline
207 & 3.87486302193243 & 2.16929938836105 & 5.58042665550382 \tabularnewline
208 & 3.21871029955202 & 1.50815430453497 & 4.92926629456907 \tabularnewline
209 & 4.14481311478407 & 2.42927928649146 & 5.86034694307669 \tabularnewline
210 & 4.14819250094217 & 2.42769524144308 & 5.86868976044125 \tabularnewline
211 & 3.78328973978166 & 2.05784332685792 & 5.50873615270541 \tabularnewline
212 & 3.52246608701239 & 1.79208467593593 & 5.25284749808885 \tabularnewline
213 & 3.89472804581853 & 2.15942567109345 & 5.63003042054361 \tabularnewline
214 & 3.34395491938499 & 1.60374549645508 & 5.0841643423149 \tabularnewline
215 & 3.18423157158451 & 1.43912889850719 & 4.92933424466183 \tabularnewline
216 & 3.19204469982307 & 1.44206245891057 & 4.94202694073558 \tabularnewline
217 & 3.31928221821028 & 1.48670739488423 & 5.15185704153634 \tabularnewline
218 & 2.95591939880818 & 1.1186973145146 & 4.79314148310177 \tabularnewline
219 & 3.33945877816376 & 1.4976011585461 & 5.18131639778141 \tabularnewline
220 & 3.0861738613152 & 1.23969234370633 & 4.93265537892407 \tabularnewline
221 & 3.59273470740777 & 1.74164084193289 & 5.44382857288264 \tabularnewline
222 & 3.66321562404445 & 1.80752087470493 & 5.51891037338397 \tabularnewline
223 & 3.65831081682253 & 1.79802656256088 & 5.51859507108417 \tabularnewline
224 & 3.95119230645102 & 2.0863298421976 & 5.81605477070445 \tabularnewline
225 & 3.72119071693679 & 1.85176125463849 & 5.59062017923509 \tabularnewline
226 & 4.07608819988805 & 2.20210286951952 & 5.95007353025658 \tabularnewline
227 & 4.24093662098533 & 2.36240647154295 & 6.11946677042771 \tabularnewline
228 & 4.24264363689919 & 2.35957963737832 & 6.12570763642007 \tabularnewline
229 & 4.50421165588945 & 2.61662469624518 & 6.39179861553372 \tabularnewline
230 & 3.71130408730868 & 1.81920497940058 & 5.60340319521679 \tabularnewline
231 & 4.30701422060486 & 2.41041369912592 & 6.2036147420838 \tabularnewline
232 & 4.40337288823822 & 2.50228161162846 & 6.30446416484799 \tabularnewline
233 & 3.9434392266562 & 2.03786777800116 & 5.84901067531125 \tabularnewline
234 & 3.98310895468367 & 2.07306784259816 & 5.89315006676917 \tabularnewline
235 & 3.32695623230325 & 1.4124558918007 & 5.2414565728058 \tabularnewline
236 & 4.25305904753531 & 2.33410984088289 & 6.17200825418772 \tabularnewline
237 & 4.2564384336934 & 2.3330506512534 & 6.1798262161334 \tabularnewline
238 & 3.8915356725329 & 1.96371953359043 & 5.81935181147536 \tabularnewline
239 & 3.63071201976362 & 1.69847767334118 & 5.56294636618606 \tabularnewline
240 & 4.00297397856977 & 2.06633150422864 & 5.93961645291089 \tabularnewline
241 & 3.45220085213623 & 1.51116026076528 & 5.39324144350717 \tabularnewline
242 & 3.29247750433574 & 1.34704873892766 & 5.23790626974382 \tabularnewline
243 & 3.3002906325743 & 1.35048356898961 & 5.250097696159 \tabularnewline
244 & 3.42752815096152 & 1.40326526665421 & 5.45179103526882 \tabularnewline
245 & 3.06416533155942 & 1.03569429930096 & 5.09263636381787 \tabularnewline
246 & 3.44770471091499 & 1.41503424262968 & 5.4803751792003 \tabularnewline
247 & 3.19441979406643 & 1.15755854779393 & 5.23128104033894 \tabularnewline
248 & 3.700980640159 & 1.65993722060754 & 5.74202405971046 \tabularnewline
249 & 3.77146155679568 & 1.72624451588734 & 5.81667859770402 \tabularnewline
250 & 3.76655674957376 & 1.71717458698197 & 5.81593891216555 \tabularnewline
251 & 4.05943823920225 & 2.00589940288165 & 6.11297707552285 \tabularnewline
252 & 3.82943664968802 & 1.77174953639686 & 5.88712376297919 \tabularnewline
253 & 4.18433413263928 & 2.12250708845443 & 6.24616117682414 \tabularnewline
254 & 4.34918255373656 & 2.2832238745613 & 6.41514123291183 \tabularnewline
255 & 4.35088956965043 & 2.28080750171516 & 6.4209716375857 \tabularnewline
256 & 4.61245758864069 & 2.53826032899668 & 6.68665484828469 \tabularnewline
257 & 3.81955002005991 & 1.74124571706619 & 5.89785432305364 \tabularnewline
258 & 4.41526015335609 & 2.33285690715957 & 6.49766339955261 \tabularnewline
259 & 4.51161882098946 & 2.42512468399857 & 6.59811295798034 \tabularnewline
260 & 4.05168515940743 & 1.96110813675917 & 6.1422621820557 \tabularnewline
261 & 4.0913548874349 & 1.99670293745551 & 6.18600683741428 \tabularnewline
262 & 3.43520216505448 & 1.33648319971396 & 5.533921130395 \tabularnewline
263 & 4.36130498028654 & 2.25852686564688 & 6.4640830949262 \tabularnewline
264 & 4.36468436644463 & 2.25785492310208 & 6.47151380978718 \tabularnewline
265 & 3.99978160528413 & 1.88890860880551 & 6.11065460176275 \tabularnewline
266 & 3.73895795251485 & 1.62404913386801 & 5.85386677116169 \tabularnewline
267 & 4.111219911321 & 1.99228295729954 & 6.23015686534245 \tabularnewline
268 & 3.56044678488746 & 1.43748933852984 & 5.68340423124508 \tabularnewline
269 & 3.40072343708698 & 1.27375309809002 & 5.52769377608393 \tabularnewline
270 & 3.40853656532554 & 1.27756089045255 & 5.53951224019852 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319448&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]136[/C][C]2.99454441995659[/C][C]1.9266487050098[/C][C]4.06244013490337[/C][/ROW]
[ROW][C]137[/C][C]2.63118160055449[/C][C]1.55533042035843[/C][C]3.70703278075054[/C][/ROW]
[ROW][C]138[/C][C]3.01472097991006[/C][C]1.93097273153464[/C][C]4.09846922828548[/C][/ROW]
[ROW][C]139[/C][C]2.7614360630615[/C][C]1.66984787615934[/C][C]3.85302424996366[/C][/ROW]
[ROW][C]140[/C][C]3.26799690915407[/C][C]2.16862469115332[/C][C]4.36736912715482[/C][/ROW]
[ROW][C]141[/C][C]3.33847782579075[/C][C]2.2313763048635[/C][C]4.44557934671801[/C][/ROW]
[ROW][C]142[/C][C]3.33357301856883[/C][C]2.21879578451398[/C][C]4.44835025262368[/C][/ROW]
[ROW][C]143[/C][C]3.62645450819732[/C][C]2.50405405136628[/C][C]4.74885496502837[/C][/ROW]
[ROW][C]144[/C][C]3.39645291868309[/C][C]2.26648066706712[/C][C]4.52642517029907[/C][/ROW]
[ROW][C]145[/C][C]3.75135040163435[/C][C]2.61385675622369[/C][C]4.88884404704501[/C][/ROW]
[ROW][C]146[/C][C]3.91619882273163[/C][C]2.77123319124867[/C][C]5.06116445421459[/C][/ROW]
[ROW][C]147[/C][C]3.9179058386455[/C][C]2.76551666774674[/C][C]5.07029500954425[/C][/ROW]
[ROW][C]148[/C][C]4.17947385763576[/C][C]3.01970866367093[/C][C]5.33923905160058[/C][/ROW]
[ROW][C]149[/C][C]3.38656628905498[/C][C]2.21947168746529[/C][C]4.55366089064468[/C][/ROW]
[ROW][C]150[/C][C]3.98227642235116[/C][C]2.80789815578312[/C][C]5.15665468891921[/C][/ROW]
[ROW][C]151[/C][C]4.07863508998453[/C][C]2.89701805519072[/C][C]5.26025212477833[/C][/ROW]
[ROW][C]152[/C][C]3.61870142840251[/C][C]2.42988970199564[/C][C]4.80751315480937[/C][/ROW]
[ROW][C]153[/C][C]3.65837115642997[/C][C]2.46240801955241[/C][C]4.85433429330753[/C][/ROW]
[ROW][C]154[/C][C]3.00221843404955[/C][C]1.79914639601627[/C][C]4.20529047208284[/C][/ROW]
[ROW][C]155[/C][C]3.92832124928161[/C][C]2.71818207025091[/C][C]5.13846042831231[/C][/ROW]
[ROW][C]156[/C][C]3.9317006354397[/C][C]2.71453534816248[/C][C]5.14886592271693[/C][/ROW]
[ROW][C]157[/C][C]3.5667978742792[/C][C]2.34264680497435[/C][C]4.79094894358404[/C][/ROW]
[ROW][C]158[/C][C]3.30597422150992[/C][C]2.07487700991055[/C][C]4.53707143310929[/C][/ROW]
[ROW][C]159[/C][C]3.67823618031607[/C][C]2.44023179892831[/C][C]4.91624056170383[/C][/ROW]
[ROW][C]160[/C][C]3.12746305388253[/C][C]1.88258982649637[/C][C]4.37233628126869[/C][/ROW]
[ROW][C]161[/C][C]2.96773970608205[/C][C]1.71603532557106[/C][C]4.21944408659303[/C][/ROW]
[ROW][C]162[/C][C]2.97555283432061[/C][C]1.71705437976537[/C][C]4.23405128887585[/C][/ROW]
[ROW][C]163[/C][C]3.10279035270782[/C][C]1.7317648242448[/C][C]4.47381588117084[/C][/ROW]
[ROW][C]164[/C][C]2.73942753330572[/C][C]1.36219643300887[/C][C]4.11665863360256[/C][/ROW]
[ROW][C]165[/C][C]3.12296691266129[/C][C]1.73955807665062[/C][C]4.50637574867197[/C][/ROW]
[ROW][C]166[/C][C]2.86968199581274[/C][C]1.48012288894468[/C][C]4.25924110268079[/C][/ROW]
[ROW][C]167[/C][C]3.3762428419053[/C][C]1.98056056595296[/C][C]4.77192511785764[/C][/ROW]
[ROW][C]168[/C][C]3.44672375854198[/C][C]2.0449450601252[/C][C]4.84850245695877[/C][/ROW]
[ROW][C]169[/C][C]3.44181895132006[/C][C]2.03397022959511[/C][C]4.84966767304502[/C][/ROW]
[ROW][C]170[/C][C]3.73470044094856[/C][C]2.32080775506672[/C][C]5.14859312683039[/C][/ROW]
[ROW][C]171[/C][C]3.50469885143433[/C][C]2.08478792777831[/C][C]4.92460977509035[/C][/ROW]
[ROW][C]172[/C][C]3.85959633438558[/C][C]2.43369257359202[/C][C]5.28550009517915[/C][/ROW]
[ROW][C]173[/C][C]4.02444475548287[/C][C]2.59257323925916[/C][C]5.45631627170657[/C][/ROW]
[ROW][C]174[/C][C]4.02615177139673[/C][C]2.5883372691398[/C][C]5.46396627365366[/C][/ROW]
[ROW][C]175[/C][C]4.28771979038699[/C][C]2.84398676561133[/C][C]5.73145281516265[/C][/ROW]
[ROW][C]176[/C][C]3.49481222180622[/C][C]2.04518483838818[/C][C]4.94443960522425[/C][/ROW]
[ROW][C]177[/C][C]4.09052235510239[/C][C]2.63502448334752[/C][C]5.54602022685727[/C][/ROW]
[ROW][C]178[/C][C]4.18688102273576[/C][C]2.72553624527545[/C][C]5.64822580019607[/C][/ROW]
[ROW][C]179[/C][C]3.72694736115374[/C][C]2.25977897867746[/C][C]5.19411574363002[/C][/ROW]
[ROW][C]180[/C][C]3.7666170891812[/C][C]2.29364812601001[/C][C]5.23958605235239[/C][/ROW]
[ROW][C]181[/C][C]3.11046436680079[/C][C]1.63171757630785[/C][C]4.58921115729372[/C][/ROW]
[ROW][C]182[/C][C]4.03656718203284[/C][C]2.55206505191625[/C][C]5.52106931214944[/C][/ROW]
[ROW][C]183[/C][C]4.03994656819093[/C][C]2.54971132560396[/C][C]5.53018181077791[/C][/ROW]
[ROW][C]184[/C][C]3.67504380703043[/C][C]2.17909742357419[/C][C]5.17099019048667[/C][/ROW]
[ROW][C]185[/C][C]3.41422015426115[/C][C]1.91258435084431[/C][C]4.915855957678[/C][/ROW]
[ROW][C]186[/C][C]3.7864821130673[/C][C]2.27917836463738[/C][C]5.29378586149723[/C][/ROW]
[ROW][C]187[/C][C]3.23570898663376[/C][C]1.72275852678438[/C][C]4.74865944648314[/C][/ROW]
[ROW][C]188[/C][C]3.07598563883328[/C][C]1.55740946429148[/C][C]4.59456181337507[/C][/ROW]
[ROW][C]189[/C][C]3.08379876707184[/C][C]1.55961764206945[/C][C]4.60797989207423[/C][/ROW]
[ROW][C]190[/C][C]3.21103628545905[/C][C]1.59269740209966[/C][C]4.82937516881844[/C][/ROW]
[ROW][C]191[/C][C]2.84767346605695[/C][C]1.22407399410567[/C][C]4.47127293800823[/C][/ROW]
[ROW][C]192[/C][C]3.23121284541252[/C][C]1.60236977462639[/C][C]4.86005591619866[/C][/ROW]
[ROW][C]193[/C][C]2.97792792856397[/C][C]1.34385808514369[/C][C]4.61199777198424[/C][/ROW]
[ROW][C]194[/C][C]3.48448877465653[/C][C]1.84520882385401[/C][C]5.12376872545905[/C][/ROW]
[ROW][C]195[/C][C]3.55496969129322[/C][C]1.91049613996116[/C][C]5.19944324262527[/C][/ROW]
[ROW][C]196[/C][C]3.5500648840713[/C][C]1.90041408315669[/C][C]5.1997156849859[/C][/ROW]
[ROW][C]197[/C][C]3.84294637369979[/C][C]2.18813452068273[/C][C]5.49775822671685[/C][/ROW]
[ROW][C]198[/C][C]3.61294478418556[/C][C]1.95298792546504[/C][C]5.27290164290608[/C][/ROW]
[ROW][C]199[/C][C]3.96784226713682[/C][C]2.30275630036488[/C][C]5.63292823390876[/C][/ROW]
[ROW][C]200[/C][C]4.1326906882341[/C][C]2.46249136459982[/C][C]5.80289001186837[/C][/ROW]
[ROW][C]201[/C][C]4.13439770414796[/C][C]2.45910063061266[/C][C]5.80969477768326[/C][/ROW]
[ROW][C]202[/C][C]4.39596572313822[/C][C]2.71558636462316[/C][C]6.07634508165328[/C][/ROW]
[ROW][C]203[/C][C]3.60305815455745[/C][C]1.91761183608539[/C][C]5.28850447302951[/C][/ROW]
[ROW][C]204[/C][C]4.19876828785363[/C][C]2.50827019664542[/C][C]5.88926637906183[/C][/ROW]
[ROW][C]205[/C][C]4.29512695548699[/C][C]2.5995921430145[/C][C]5.99066176795948[/C][/ROW]
[ROW][C]206[/C][C]3.83519329390497[/C][C]2.13463667790135[/C][C]5.53574990990859[/C][/ROW]
[ROW][C]207[/C][C]3.87486302193243[/C][C]2.16929938836105[/C][C]5.58042665550382[/C][/ROW]
[ROW][C]208[/C][C]3.21871029955202[/C][C]1.50815430453497[/C][C]4.92926629456907[/C][/ROW]
[ROW][C]209[/C][C]4.14481311478407[/C][C]2.42927928649146[/C][C]5.86034694307669[/C][/ROW]
[ROW][C]210[/C][C]4.14819250094217[/C][C]2.42769524144308[/C][C]5.86868976044125[/C][/ROW]
[ROW][C]211[/C][C]3.78328973978166[/C][C]2.05784332685792[/C][C]5.50873615270541[/C][/ROW]
[ROW][C]212[/C][C]3.52246608701239[/C][C]1.79208467593593[/C][C]5.25284749808885[/C][/ROW]
[ROW][C]213[/C][C]3.89472804581853[/C][C]2.15942567109345[/C][C]5.63003042054361[/C][/ROW]
[ROW][C]214[/C][C]3.34395491938499[/C][C]1.60374549645508[/C][C]5.0841643423149[/C][/ROW]
[ROW][C]215[/C][C]3.18423157158451[/C][C]1.43912889850719[/C][C]4.92933424466183[/C][/ROW]
[ROW][C]216[/C][C]3.19204469982307[/C][C]1.44206245891057[/C][C]4.94202694073558[/C][/ROW]
[ROW][C]217[/C][C]3.31928221821028[/C][C]1.48670739488423[/C][C]5.15185704153634[/C][/ROW]
[ROW][C]218[/C][C]2.95591939880818[/C][C]1.1186973145146[/C][C]4.79314148310177[/C][/ROW]
[ROW][C]219[/C][C]3.33945877816376[/C][C]1.4976011585461[/C][C]5.18131639778141[/C][/ROW]
[ROW][C]220[/C][C]3.0861738613152[/C][C]1.23969234370633[/C][C]4.93265537892407[/C][/ROW]
[ROW][C]221[/C][C]3.59273470740777[/C][C]1.74164084193289[/C][C]5.44382857288264[/C][/ROW]
[ROW][C]222[/C][C]3.66321562404445[/C][C]1.80752087470493[/C][C]5.51891037338397[/C][/ROW]
[ROW][C]223[/C][C]3.65831081682253[/C][C]1.79802656256088[/C][C]5.51859507108417[/C][/ROW]
[ROW][C]224[/C][C]3.95119230645102[/C][C]2.0863298421976[/C][C]5.81605477070445[/C][/ROW]
[ROW][C]225[/C][C]3.72119071693679[/C][C]1.85176125463849[/C][C]5.59062017923509[/C][/ROW]
[ROW][C]226[/C][C]4.07608819988805[/C][C]2.20210286951952[/C][C]5.95007353025658[/C][/ROW]
[ROW][C]227[/C][C]4.24093662098533[/C][C]2.36240647154295[/C][C]6.11946677042771[/C][/ROW]
[ROW][C]228[/C][C]4.24264363689919[/C][C]2.35957963737832[/C][C]6.12570763642007[/C][/ROW]
[ROW][C]229[/C][C]4.50421165588945[/C][C]2.61662469624518[/C][C]6.39179861553372[/C][/ROW]
[ROW][C]230[/C][C]3.71130408730868[/C][C]1.81920497940058[/C][C]5.60340319521679[/C][/ROW]
[ROW][C]231[/C][C]4.30701422060486[/C][C]2.41041369912592[/C][C]6.2036147420838[/C][/ROW]
[ROW][C]232[/C][C]4.40337288823822[/C][C]2.50228161162846[/C][C]6.30446416484799[/C][/ROW]
[ROW][C]233[/C][C]3.9434392266562[/C][C]2.03786777800116[/C][C]5.84901067531125[/C][/ROW]
[ROW][C]234[/C][C]3.98310895468367[/C][C]2.07306784259816[/C][C]5.89315006676917[/C][/ROW]
[ROW][C]235[/C][C]3.32695623230325[/C][C]1.4124558918007[/C][C]5.2414565728058[/C][/ROW]
[ROW][C]236[/C][C]4.25305904753531[/C][C]2.33410984088289[/C][C]6.17200825418772[/C][/ROW]
[ROW][C]237[/C][C]4.2564384336934[/C][C]2.3330506512534[/C][C]6.1798262161334[/C][/ROW]
[ROW][C]238[/C][C]3.8915356725329[/C][C]1.96371953359043[/C][C]5.81935181147536[/C][/ROW]
[ROW][C]239[/C][C]3.63071201976362[/C][C]1.69847767334118[/C][C]5.56294636618606[/C][/ROW]
[ROW][C]240[/C][C]4.00297397856977[/C][C]2.06633150422864[/C][C]5.93961645291089[/C][/ROW]
[ROW][C]241[/C][C]3.45220085213623[/C][C]1.51116026076528[/C][C]5.39324144350717[/C][/ROW]
[ROW][C]242[/C][C]3.29247750433574[/C][C]1.34704873892766[/C][C]5.23790626974382[/C][/ROW]
[ROW][C]243[/C][C]3.3002906325743[/C][C]1.35048356898961[/C][C]5.250097696159[/C][/ROW]
[ROW][C]244[/C][C]3.42752815096152[/C][C]1.40326526665421[/C][C]5.45179103526882[/C][/ROW]
[ROW][C]245[/C][C]3.06416533155942[/C][C]1.03569429930096[/C][C]5.09263636381787[/C][/ROW]
[ROW][C]246[/C][C]3.44770471091499[/C][C]1.41503424262968[/C][C]5.4803751792003[/C][/ROW]
[ROW][C]247[/C][C]3.19441979406643[/C][C]1.15755854779393[/C][C]5.23128104033894[/C][/ROW]
[ROW][C]248[/C][C]3.700980640159[/C][C]1.65993722060754[/C][C]5.74202405971046[/C][/ROW]
[ROW][C]249[/C][C]3.77146155679568[/C][C]1.72624451588734[/C][C]5.81667859770402[/C][/ROW]
[ROW][C]250[/C][C]3.76655674957376[/C][C]1.71717458698197[/C][C]5.81593891216555[/C][/ROW]
[ROW][C]251[/C][C]4.05943823920225[/C][C]2.00589940288165[/C][C]6.11297707552285[/C][/ROW]
[ROW][C]252[/C][C]3.82943664968802[/C][C]1.77174953639686[/C][C]5.88712376297919[/C][/ROW]
[ROW][C]253[/C][C]4.18433413263928[/C][C]2.12250708845443[/C][C]6.24616117682414[/C][/ROW]
[ROW][C]254[/C][C]4.34918255373656[/C][C]2.2832238745613[/C][C]6.41514123291183[/C][/ROW]
[ROW][C]255[/C][C]4.35088956965043[/C][C]2.28080750171516[/C][C]6.4209716375857[/C][/ROW]
[ROW][C]256[/C][C]4.61245758864069[/C][C]2.53826032899668[/C][C]6.68665484828469[/C][/ROW]
[ROW][C]257[/C][C]3.81955002005991[/C][C]1.74124571706619[/C][C]5.89785432305364[/C][/ROW]
[ROW][C]258[/C][C]4.41526015335609[/C][C]2.33285690715957[/C][C]6.49766339955261[/C][/ROW]
[ROW][C]259[/C][C]4.51161882098946[/C][C]2.42512468399857[/C][C]6.59811295798034[/C][/ROW]
[ROW][C]260[/C][C]4.05168515940743[/C][C]1.96110813675917[/C][C]6.1422621820557[/C][/ROW]
[ROW][C]261[/C][C]4.0913548874349[/C][C]1.99670293745551[/C][C]6.18600683741428[/C][/ROW]
[ROW][C]262[/C][C]3.43520216505448[/C][C]1.33648319971396[/C][C]5.533921130395[/C][/ROW]
[ROW][C]263[/C][C]4.36130498028654[/C][C]2.25852686564688[/C][C]6.4640830949262[/C][/ROW]
[ROW][C]264[/C][C]4.36468436644463[/C][C]2.25785492310208[/C][C]6.47151380978718[/C][/ROW]
[ROW][C]265[/C][C]3.99978160528413[/C][C]1.88890860880551[/C][C]6.11065460176275[/C][/ROW]
[ROW][C]266[/C][C]3.73895795251485[/C][C]1.62404913386801[/C][C]5.85386677116169[/C][/ROW]
[ROW][C]267[/C][C]4.111219911321[/C][C]1.99228295729954[/C][C]6.23015686534245[/C][/ROW]
[ROW][C]268[/C][C]3.56044678488746[/C][C]1.43748933852984[/C][C]5.68340423124508[/C][/ROW]
[ROW][C]269[/C][C]3.40072343708698[/C][C]1.27375309809002[/C][C]5.52769377608393[/C][/ROW]
[ROW][C]270[/C][C]3.40853656532554[/C][C]1.27756089045255[/C][C]5.53951224019852[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319448&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319448&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
1362.994544419956591.92664870500984.06244013490337
1372.631181600554491.555330420358433.70703278075054
1383.014720979910061.930972731534644.09846922828548
1392.76143606306151.669847876159343.85302424996366
1403.267996909154072.168624691153324.36736912715482
1413.338477825790752.23137630486354.44557934671801
1423.333573018568832.218795784513984.44835025262368
1433.626454508197322.504054051366284.74885496502837
1443.396452918683092.266480667067124.52642517029907
1453.751350401634352.613856756223694.88884404704501
1463.916198822731632.771233191248675.06116445421459
1473.91790583864552.765516667746745.07029500954425
1484.179473857635763.019708663670935.33923905160058
1493.386566289054982.219471687465294.55366089064468
1503.982276422351162.807898155783125.15665468891921
1514.078635089984532.897018055190725.26025212477833
1523.618701428402512.429889701995644.80751315480937
1533.658371156429972.462408019552414.85433429330753
1543.002218434049551.799146396016274.20529047208284
1553.928321249281612.718182070250915.13846042831231
1563.93170063543972.714535348162485.14886592271693
1573.56679787427922.342646804974354.79094894358404
1583.305974221509922.074877009910554.53707143310929
1593.678236180316072.440231798928314.91624056170383
1603.127463053882531.882589826496374.37233628126869
1612.967739706082051.716035325571064.21944408659303
1622.975552834320611.717054379765374.23405128887585
1633.102790352707821.73176482424484.47381588117084
1642.739427533305721.362196433008874.11665863360256
1653.122966912661291.739558076650624.50637574867197
1662.869681995812741.480122888944684.25924110268079
1673.37624284190531.980560565952964.77192511785764
1683.446723758541982.04494506012524.84850245695877
1693.441818951320062.033970229595114.84966767304502
1703.734700440948562.320807755066725.14859312683039
1713.504698851434332.084787927778314.92460977509035
1723.859596334385582.433692573592025.28550009517915
1734.024444755482872.592573239259165.45631627170657
1744.026151771396732.58833726913985.46396627365366
1754.287719790386992.843986765611335.73145281516265
1763.494812221806222.045184838388184.94443960522425
1774.090522355102392.635024483347525.54602022685727
1784.186881022735762.725536245275455.64822580019607
1793.726947361153742.259778978677465.19411574363002
1803.76661708918122.293648126010015.23958605235239
1813.110464366800791.631717576307854.58921115729372
1824.036567182032842.552065051916255.52106931214944
1834.039946568190932.549711325603965.53018181077791
1843.675043807030432.179097423574195.17099019048667
1853.414220154261151.912584350844314.915855957678
1863.78648211306732.279178364637385.29378586149723
1873.235708986633761.722758526784384.74865944648314
1883.075985638833281.557409464291484.59456181337507
1893.083798767071841.559617642069454.60797989207423
1903.211036285459051.592697402099664.82937516881844
1912.847673466056951.224073994105674.47127293800823
1923.231212845412521.602369774626394.86005591619866
1932.977927928563971.343858085143694.61199777198424
1943.484488774656531.845208823854015.12376872545905
1953.554969691293221.910496139961165.19944324262527
1963.55006488407131.900414083156695.1997156849859
1973.842946373699792.188134520682735.49775822671685
1983.612944784185561.952987925465045.27290164290608
1993.967842267136822.302756300364885.63292823390876
2004.13269068823412.462491364599825.80289001186837
2014.134397704147962.459100630612665.80969477768326
2024.395965723138222.715586364623166.07634508165328
2033.603058154557451.917611836085395.28850447302951
2044.198768287853632.508270196645425.88926637906183
2054.295126955486992.59959214301455.99066176795948
2063.835193293904972.134636677901355.53574990990859
2073.874863021932432.169299388361055.58042665550382
2083.218710299552021.508154304534974.92926629456907
2094.144813114784072.429279286491465.86034694307669
2104.148192500942172.427695241443085.86868976044125
2113.783289739781662.057843326857925.50873615270541
2123.522466087012391.792084675935935.25284749808885
2133.894728045818532.159425671093455.63003042054361
2143.343954919384991.603745496455085.0841643423149
2153.184231571584511.439128898507194.92933424466183
2163.192044699823071.442062458910574.94202694073558
2173.319282218210281.486707394884235.15185704153634
2182.955919398808181.11869731451464.79314148310177
2193.339458778163761.49760115854615.18131639778141
2203.08617386131521.239692343706334.93265537892407
2213.592734707407771.741640841932895.44382857288264
2223.663215624044451.807520874704935.51891037338397
2233.658310816822531.798026562560885.51859507108417
2243.951192306451022.08632984219765.81605477070445
2253.721190716936791.851761254638495.59062017923509
2264.076088199888052.202102869519525.95007353025658
2274.240936620985332.362406471542956.11946677042771
2284.242643636899192.359579637378326.12570763642007
2294.504211655889452.616624696245186.39179861553372
2303.711304087308681.819204979400585.60340319521679
2314.307014220604862.410413699125926.2036147420838
2324.403372888238222.502281611628466.30446416484799
2333.94343922665622.037867778001165.84901067531125
2343.983108954683672.073067842598165.89315006676917
2353.326956232303251.41245589180075.2414565728058
2364.253059047535312.334109840882896.17200825418772
2374.25643843369342.33305065125346.1798262161334
2383.89153567253291.963719533590435.81935181147536
2393.630712019763621.698477673341185.56294636618606
2404.002973978569772.066331504228645.93961645291089
2413.452200852136231.511160260765285.39324144350717
2423.292477504335741.347048738927665.23790626974382
2433.30029063257431.350483568989615.250097696159
2443.427528150961521.403265266654215.45179103526882
2453.064165331559421.035694299300965.09263636381787
2463.447704710914991.415034242629685.4803751792003
2473.194419794066431.157558547793935.23128104033894
2483.7009806401591.659937220607545.74202405971046
2493.771461556795681.726244515887345.81667859770402
2503.766556749573761.717174586981975.81593891216555
2514.059438239202252.005899402881656.11297707552285
2523.829436649688021.771749536396865.88712376297919
2534.184334132639282.122507088454436.24616117682414
2544.349182553736562.28322387456136.41514123291183
2554.350889569650432.280807501715166.4209716375857
2564.612457588640692.538260328996686.68665484828469
2573.819550020059911.741245717066195.89785432305364
2584.415260153356092.332856907159576.49766339955261
2594.511618820989462.425124683998576.59811295798034
2604.051685159407431.961108136759176.1422621820557
2614.09135488743491.996702937455516.18600683741428
2623.435202165054481.336483199713965.533921130395
2634.361304980286542.258526865646886.4640830949262
2644.364684366444632.257854923102086.47151380978718
2653.999781605284131.888908608805516.11065460176275
2663.738957952514851.624049133868015.85386677116169
2674.1112199113211.992282957299546.23015686534245
2683.560446784887461.437489338529845.68340423124508
2693.400723437086981.273753098090025.52769377608393
2703.408536565325541.277560890452555.53951224019852



Parameters (Session):
par1 = 27 ; par2 = Triple ; par3 = additive ; par4 = 135 ;
Parameters (R input):
par1 = 27 ; par2 = Triple ; par3 = additive ; par4 = 135 ;
R code (references can be found in the software module):
par4 <- '135'
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '26'
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')