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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 22 Nov 2012 09:16:45 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/22/t1353593844ht6u0al69ixym9l.htm/, Retrieved Thu, 02 May 2024 04:42:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=191792, Retrieved Thu, 02 May 2024 04:42:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [WS 8 - exponentio...] [2012-11-22 13:48:01] [b952eaabb01bdc8fc50f908b86502128]
- R PD    [Exponential Smoothing] [WS 8 - triple exp...] [2012-11-22 14:16:45] [fd3c35a156f52433b5d6e23e16a12a78] [Current]
- RMPD      [Multiple Regression] [Deel 4 - tijdsree...] [2012-12-16 18:54:15] [b952eaabb01bdc8fc50f908b86502128]
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Dataseries X:
8.64
8.89
8.87
8.81
8.87
9.06
9.12
8.66
8.17
8.04
7.71
7.55
7.52
7.38
7.52
7.31
6.92
7.09
7.05
7.37
7.05
6.79
6.35
6.44
6.89
7.16
7.46
7.91
7.86
8.02
8.38
8.50
8.40
8.24
8.33
8.28
8.15
8.06
7.79
7.28
7.52
7.23
7.13
7.21
6.99
6.77
6.69
6.39
6.85
6.74
6.56
6.62
6.71
6.67
6.54
6.14
6.13
5.86
5.88
5.75
5.53
5.86
5.90
5.95
5.69
5.53
5.71
5.60
5.73
5.60
5.41
5.13
5.00
5.04
5.10
4.96
4.90
4.80
4.48
4.29
4.27
4.18
4.02
3.82
4.13
4.16
3.98
4.26
4.70
4.96
5.13
5.35
5.41
5.42
5.51
5.75
5.67
5.46
5.56
5.56
5.54
5.53
5.65
5.58
5.57
5.36
5.23
5.11
5.07
5.04
5.34
5.43
5.31
5.12
4.97
5.00
4.64
4.80
5.10
5.11
5.12
5.36
5.26
5.27
5.10
4.94
4.68
4.41
4.60
4.53
4.18
4.00
3.87
4.09
4.13
3.74
3.81
4.11
4.14
3.99
4.28
4.37
4.24
4.19
4.01
3.95
4.30
4.37
4.40
4.29
4.12
4.07
3.93
3.79
3.67
3.53
3.69
3.69
3.48
3.31
3.16
3.25
3.14
3.19
3.43
3.45
3.31
3.51
3.53
3.83
4.02
3.99
4.11
3.96
3.83
3.71
3.81
3.73
3.99
4.17
4.00
4.10
4.24
4.45
4.62
4.49
4.45
4.49
4.36
4.32
4.45
4.13
4.14
4.30
4.42
4.67
4.96
4.73
4.52




4.36
4.15
3.92
3.88
4.20
3.95
3.78
3.69




3.77
3.66
3.53
3.50
3.14
3.42
3.30
2.81
3.15
3.37
4.05
4.00
4.20
4.21
4.24
4.24
4.17
4.12
4.35
3.98
3.62
4.39
5.01
4.07
3.70
3.59
3.44
3.33
2.98
3.14
2.55
2.49
2.53
2.43




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=191792&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=191792&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191792&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 time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.771795888456868
beta0.0241620152216082
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.771795888456868 \tabularnewline
beta & 0.0241620152216082 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191792&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]0.771795888456868[/C][/ROW]
[ROW][C]beta[/C][C]0.0241620152216082[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191792&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191792&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
alpha0.771795888456868
beta0.0241620152216082
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
137.528.38150641025641-0.861506410256409
147.387.57025991656781-0.190259916567806
157.527.513947379193310.00605262080669
167.317.257594254494730.0524057455052729
176.926.867993550744510.0520064492554937
187.097.033221162211990.0567788377880065
197.057.58652423680383-0.536524236803827
207.376.665246589920180.704753410079822
217.056.694707603747170.355292396252833
226.796.82066492102901-0.030664921029012
236.356.47317012384964-0.12317012384964
246.446.241566630599120.198433369400877
256.896.20027650025940.689723499740595
267.166.762471317028620.397528682971381
277.467.23859933283740.221400667162597
287.917.197033160523020.712966839476982
297.867.367482152513610.49251784748639
308.027.932320929013890.0876790709861126
318.388.4331919079006-0.0531919079005956
328.58.236339511053030.263660488946968
338.47.905519500674950.494480499325054
348.248.113321295668070.126678704331935
358.337.931584479300240.398415520699755
368.288.251087370953790.0289126290462125
378.158.26307250024262-0.113072500242618
388.068.19601819332098-0.136018193320982
397.798.26723971428451-0.477239714284511
407.287.83269077117782-0.552690771177822
417.526.98644847282960.533551527170399
427.237.50178161937309-0.271781619373094
437.137.69758232216604-0.567582322166038
447.217.170947455086130.0390525449138668
456.996.710176427944730.279823572055268
466.776.655096449461980.114903550538022
476.696.512786934069320.177213065930679
486.396.55962344378882-0.16962344378882
496.856.364654171070830.48534582892917
506.746.74405627285539-0.00405627285538923
516.566.83155405650913-0.271554056509129
526.626.53466662182350.0853333781764976
536.716.436764068352810.273235931647189
546.676.570582341709620.0994176582903838
556.546.99546833015358-0.455468330153583
566.146.70598801581533-0.565988015815333
576.135.834100090177260.295899909822737
585.865.754998110250260.105001889749739
595.885.62028694792830.259713052071696
605.755.654206688375010.0957933116249876
615.535.82106078523497-0.291060785234967
625.865.482582468317920.377417531682078
635.95.80360043595640.0963995640436019
645.955.879147288959890.0708527110401107
655.695.819684730087-0.129684730087
665.535.60208670486345-0.0720867048634455
675.715.76400308507249-0.0540030850724875
685.65.76266154937511-0.162661549375113
695.735.409777590392010.320222409607993
705.65.317369362039290.282630637960711
715.415.369854966386960.0401450336130393
725.135.20760922397573-0.0776092239757267
7355.15981999564371-0.159819995643708
745.045.08509941237594-0.0450994123759436
755.15.01792905878420.0820709412157958
764.965.0783580151174-0.118358015117397
774.94.825342270699840.0746577293001565
784.84.780651972789390.0193480272106141
794.485.02102209886213-0.541022098862131
804.294.61368102091042-0.32368102091042
814.274.238392324876910.03160767512309
824.183.900945029323840.279054970676157
834.023.881559251975480.138440748024518
843.823.756363280218730.0636367197812668
854.133.789517777283330.34048222271667
864.164.127129328577750.0328706714222484
873.984.15063199065633-0.170631990656327
884.263.967049938614290.292950061385712
894.74.079959982592780.620040017407221
904.964.458174877895020.501825122104984
915.134.966640664710270.163359335289728
925.355.18927240494070.1607275950593
935.415.314695945695730.0953040543042665
945.425.129834880621670.290165119378326
955.515.134099446946110.375900553053893
965.755.226695894554120.523304105445883
975.675.7379615205411-0.0679615205410995
985.465.74268738019417-0.282687380194168
995.565.522866650115460.0371333498845354
1005.565.65596596081596-0.0959659608159606
1015.545.58664052556061-0.0466405255606146
1025.535.454189673809810.0758103261901937
1035.655.579528003363220.0704719966367771
1045.585.75104522193799-0.171045221937987
1055.575.62046711671997-0.0504671167199682
1065.365.37983936671363-0.0198393667136321
1075.235.17089872473020.0591012752697964
1085.115.05321097142890.0567890285710995
1095.075.061375374421070.00862462557893018
1105.045.06951941432113-0.0295194143211317
1115.345.11610882922420.223891170775804
1125.435.364487679289630.0655123207103738
1135.315.43557248617717-0.125572486177171
1145.125.27319982627485-0.153199826274854
1154.975.21935398537496-0.249353985374956
11655.08173459514206-0.0817345951420583
1174.645.04208695270103-0.402086952701028
1184.84.52499724897460.275002751025398
1195.14.555054790056050.544945209943946
1205.114.814297481203620.295702518796376
1215.125.002804069465340.117195930534661
1225.365.095004073337810.264995926662187
1235.265.44118642335649-0.181186423356489
1245.275.34768927011923-0.0776892701192278
1255.15.26887881863234-0.168878818632339
1264.945.07020373330524-0.130203733305238
1274.685.01601813892405-0.336018138924046
1284.414.85200175067822-0.442001750678222
1294.64.456715965261530.143284034738469
1304.534.5207464498590.00925355014099605
1314.184.40803654823572-0.228036548235724
13244.00013693342971-0.000136933429713437
1333.873.90038309848731-0.0303830984873059
1344.093.89046189340140.199538106598605
1354.134.061133965461480.0688660345385159
1363.744.16573820647755-0.425738206477547
1373.813.772498179790790.037501820209211
1384.113.720784245101280.389215754898721
1394.144.009054600574870.130945399425126
1403.994.17849867668749-0.188498676687495
1414.284.11440332733710.165596672662903
1424.374.167457578962390.20254242103761
1434.244.155770408276940.0842295917230595
1444.194.052701080632440.137298919367565
1454.014.06649723127456-0.0564972312745642
1463.954.1027830887892-0.152783088789195
1474.33.979037948922050.320962051077953
1484.374.17736200262980.192637997370205
1494.44.390650899828830.00934910017116586
1504.294.42050181508611-0.130501815086113
1514.124.26205659932877-0.142056599328768
1524.074.15614809255018-0.0861480925501805
1533.934.26200885511471-0.332008855114709
1543.793.94032129576789-0.150321295767887
1553.673.623592549520290.0464074504797067
1563.533.497034239152190.0329657608478113
1573.693.377727140492080.312272859507924
1583.693.675178018898590.0148219811014068
1593.483.79054850468645-0.310548504686454
1603.313.4620628645753-0.152062864575299
1613.163.35092937582724-0.190929375827237
1623.253.174000413027270.0759995869727295
1633.143.15585492907966-0.0158549290796626
1643.193.146019978565610.0439800214343933
1653.433.284546370333160.145453629666842
1663.453.370067753606890.0799322463931142
1673.313.277479366380630.0325206336193737
1683.513.138414168781710.371585831218285
1693.533.351784662080970.178215337919026
1703.833.48298404470750.347015955292504
1714.023.79177745401640.2282225459836
1723.993.936615113166220.0533848868337765
1734.114.000342018673450.109657981326548
1743.964.14709098746412-0.187090987464123
1753.833.93079710914535-0.100797109145348
1763.713.89334010851328-0.18334010851328
1773.813.89962074820899-0.0896207482089877
1783.733.80441903822254-0.0744190382225414
1793.993.594663668322180.395336331677819
1804.173.832540275450420.33745972454958
18143.994354118285010.00564588171498936
1824.14.046577678958830.0534223210411735
1834.244.111884187579650.128115812420347
1844.454.147911007437330.302088992562672
1854.624.429416139448580.190583860551418
1864.494.58540082049767-0.0954008204976713
1874.454.47577229150342-0.0257722915034186
1884.494.49498819604262-0.00498819604262302
1894.364.6812388951994-0.321238895199401
1904.324.4273567392011-0.107356739201097
1914.454.31537846175590.134621538244097
1924.134.34996510434604-0.219965104346041
1934.144.006580855235060.133419144764938
1944.34.171446191405620.128553808594377
1954.424.316309414382040.103690585617958
1964.674.37725603380910.292743966190899
1974.964.629998210091840.330001789908157
1984.734.83481750815126-0.104817508151257
1994.524.74013044360224-0.220130443602237
2004.364.61677983135546-0.256779831355461
2014.154.53452891498256-0.384528914982561
2023.924.27742817109536-0.357428171095365
2033.884.01982246221288-0.139822462212885
2044.23.748714586361640.451285413638356
2053.954.00359840454031-0.0535984045403088
2063.784.01908248396179-0.239082483961793
2073.693.86374431225355-0.17374431225355
2083.773.737749605076470.0322503949235338
2093.663.77712760915537-0.117127609155365
2103.533.508469896901690.0215301030983124
2113.53.458181834784440.041818165215556
2123.143.50672271775556-0.366722717755557
2133.423.286499413702660.133500586297345
2143.33.42109044506047-0.12109044506047
2152.813.38564923370697-0.575649233706972
2163.152.895039429601710.25496057039829
2173.372.861497018287080.508502981712923
2184.053.257275595042410.792724404957586
21943.921228648835420.0787713511645847
2204.24.049878751571510.15012124842849
2214.214.161083813681830.0489161863181673
2224.244.070260181353270.169739818646734
2234.244.159793324875930.0802066751240655
2244.174.166251204551740.00374879544826179
2254.124.37453752380321-0.254537523803212
2264.354.172735644495160.177264355504835
2273.984.29058704768981-0.310587047689807
2283.624.2257984298156-0.605798429815599
2294.393.601432332599490.788567667400514
2305.014.299094016936210.710905983063792
2314.074.75631700236615-0.686317002366149
2323.74.31583399724064-0.615833997240641
2333.593.80357549278233-0.21357549278233
2343.443.52363228287019-0.0836322828701936
2353.333.37835510071664-0.0483551007166421
2362.983.24691714137006-0.266917141370061
2373.143.16109079955037-0.0210907995503744
2382.553.21608265067495-0.666082650674945
2392.492.53406729375961-0.0440672937596109
2402.532.57493386157035-0.0449338615703518
2412.432.67942467830851-0.249424678308513

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 7.52 & 8.38150641025641 & -0.861506410256409 \tabularnewline
14 & 7.38 & 7.57025991656781 & -0.190259916567806 \tabularnewline
15 & 7.52 & 7.51394737919331 & 0.00605262080669 \tabularnewline
16 & 7.31 & 7.25759425449473 & 0.0524057455052729 \tabularnewline
17 & 6.92 & 6.86799355074451 & 0.0520064492554937 \tabularnewline
18 & 7.09 & 7.03322116221199 & 0.0567788377880065 \tabularnewline
19 & 7.05 & 7.58652423680383 & -0.536524236803827 \tabularnewline
20 & 7.37 & 6.66524658992018 & 0.704753410079822 \tabularnewline
21 & 7.05 & 6.69470760374717 & 0.355292396252833 \tabularnewline
22 & 6.79 & 6.82066492102901 & -0.030664921029012 \tabularnewline
23 & 6.35 & 6.47317012384964 & -0.12317012384964 \tabularnewline
24 & 6.44 & 6.24156663059912 & 0.198433369400877 \tabularnewline
25 & 6.89 & 6.2002765002594 & 0.689723499740595 \tabularnewline
26 & 7.16 & 6.76247131702862 & 0.397528682971381 \tabularnewline
27 & 7.46 & 7.2385993328374 & 0.221400667162597 \tabularnewline
28 & 7.91 & 7.19703316052302 & 0.712966839476982 \tabularnewline
29 & 7.86 & 7.36748215251361 & 0.49251784748639 \tabularnewline
30 & 8.02 & 7.93232092901389 & 0.0876790709861126 \tabularnewline
31 & 8.38 & 8.4331919079006 & -0.0531919079005956 \tabularnewline
32 & 8.5 & 8.23633951105303 & 0.263660488946968 \tabularnewline
33 & 8.4 & 7.90551950067495 & 0.494480499325054 \tabularnewline
34 & 8.24 & 8.11332129566807 & 0.126678704331935 \tabularnewline
35 & 8.33 & 7.93158447930024 & 0.398415520699755 \tabularnewline
36 & 8.28 & 8.25108737095379 & 0.0289126290462125 \tabularnewline
37 & 8.15 & 8.26307250024262 & -0.113072500242618 \tabularnewline
38 & 8.06 & 8.19601819332098 & -0.136018193320982 \tabularnewline
39 & 7.79 & 8.26723971428451 & -0.477239714284511 \tabularnewline
40 & 7.28 & 7.83269077117782 & -0.552690771177822 \tabularnewline
41 & 7.52 & 6.9864484728296 & 0.533551527170399 \tabularnewline
42 & 7.23 & 7.50178161937309 & -0.271781619373094 \tabularnewline
43 & 7.13 & 7.69758232216604 & -0.567582322166038 \tabularnewline
44 & 7.21 & 7.17094745508613 & 0.0390525449138668 \tabularnewline
45 & 6.99 & 6.71017642794473 & 0.279823572055268 \tabularnewline
46 & 6.77 & 6.65509644946198 & 0.114903550538022 \tabularnewline
47 & 6.69 & 6.51278693406932 & 0.177213065930679 \tabularnewline
48 & 6.39 & 6.55962344378882 & -0.16962344378882 \tabularnewline
49 & 6.85 & 6.36465417107083 & 0.48534582892917 \tabularnewline
50 & 6.74 & 6.74405627285539 & -0.00405627285538923 \tabularnewline
51 & 6.56 & 6.83155405650913 & -0.271554056509129 \tabularnewline
52 & 6.62 & 6.5346666218235 & 0.0853333781764976 \tabularnewline
53 & 6.71 & 6.43676406835281 & 0.273235931647189 \tabularnewline
54 & 6.67 & 6.57058234170962 & 0.0994176582903838 \tabularnewline
55 & 6.54 & 6.99546833015358 & -0.455468330153583 \tabularnewline
56 & 6.14 & 6.70598801581533 & -0.565988015815333 \tabularnewline
57 & 6.13 & 5.83410009017726 & 0.295899909822737 \tabularnewline
58 & 5.86 & 5.75499811025026 & 0.105001889749739 \tabularnewline
59 & 5.88 & 5.6202869479283 & 0.259713052071696 \tabularnewline
60 & 5.75 & 5.65420668837501 & 0.0957933116249876 \tabularnewline
61 & 5.53 & 5.82106078523497 & -0.291060785234967 \tabularnewline
62 & 5.86 & 5.48258246831792 & 0.377417531682078 \tabularnewline
63 & 5.9 & 5.8036004359564 & 0.0963995640436019 \tabularnewline
64 & 5.95 & 5.87914728895989 & 0.0708527110401107 \tabularnewline
65 & 5.69 & 5.819684730087 & -0.129684730087 \tabularnewline
66 & 5.53 & 5.60208670486345 & -0.0720867048634455 \tabularnewline
67 & 5.71 & 5.76400308507249 & -0.0540030850724875 \tabularnewline
68 & 5.6 & 5.76266154937511 & -0.162661549375113 \tabularnewline
69 & 5.73 & 5.40977759039201 & 0.320222409607993 \tabularnewline
70 & 5.6 & 5.31736936203929 & 0.282630637960711 \tabularnewline
71 & 5.41 & 5.36985496638696 & 0.0401450336130393 \tabularnewline
72 & 5.13 & 5.20760922397573 & -0.0776092239757267 \tabularnewline
73 & 5 & 5.15981999564371 & -0.159819995643708 \tabularnewline
74 & 5.04 & 5.08509941237594 & -0.0450994123759436 \tabularnewline
75 & 5.1 & 5.0179290587842 & 0.0820709412157958 \tabularnewline
76 & 4.96 & 5.0783580151174 & -0.118358015117397 \tabularnewline
77 & 4.9 & 4.82534227069984 & 0.0746577293001565 \tabularnewline
78 & 4.8 & 4.78065197278939 & 0.0193480272106141 \tabularnewline
79 & 4.48 & 5.02102209886213 & -0.541022098862131 \tabularnewline
80 & 4.29 & 4.61368102091042 & -0.32368102091042 \tabularnewline
81 & 4.27 & 4.23839232487691 & 0.03160767512309 \tabularnewline
82 & 4.18 & 3.90094502932384 & 0.279054970676157 \tabularnewline
83 & 4.02 & 3.88155925197548 & 0.138440748024518 \tabularnewline
84 & 3.82 & 3.75636328021873 & 0.0636367197812668 \tabularnewline
85 & 4.13 & 3.78951777728333 & 0.34048222271667 \tabularnewline
86 & 4.16 & 4.12712932857775 & 0.0328706714222484 \tabularnewline
87 & 3.98 & 4.15063199065633 & -0.170631990656327 \tabularnewline
88 & 4.26 & 3.96704993861429 & 0.292950061385712 \tabularnewline
89 & 4.7 & 4.07995998259278 & 0.620040017407221 \tabularnewline
90 & 4.96 & 4.45817487789502 & 0.501825122104984 \tabularnewline
91 & 5.13 & 4.96664066471027 & 0.163359335289728 \tabularnewline
92 & 5.35 & 5.1892724049407 & 0.1607275950593 \tabularnewline
93 & 5.41 & 5.31469594569573 & 0.0953040543042665 \tabularnewline
94 & 5.42 & 5.12983488062167 & 0.290165119378326 \tabularnewline
95 & 5.51 & 5.13409944694611 & 0.375900553053893 \tabularnewline
96 & 5.75 & 5.22669589455412 & 0.523304105445883 \tabularnewline
97 & 5.67 & 5.7379615205411 & -0.0679615205410995 \tabularnewline
98 & 5.46 & 5.74268738019417 & -0.282687380194168 \tabularnewline
99 & 5.56 & 5.52286665011546 & 0.0371333498845354 \tabularnewline
100 & 5.56 & 5.65596596081596 & -0.0959659608159606 \tabularnewline
101 & 5.54 & 5.58664052556061 & -0.0466405255606146 \tabularnewline
102 & 5.53 & 5.45418967380981 & 0.0758103261901937 \tabularnewline
103 & 5.65 & 5.57952800336322 & 0.0704719966367771 \tabularnewline
104 & 5.58 & 5.75104522193799 & -0.171045221937987 \tabularnewline
105 & 5.57 & 5.62046711671997 & -0.0504671167199682 \tabularnewline
106 & 5.36 & 5.37983936671363 & -0.0198393667136321 \tabularnewline
107 & 5.23 & 5.1708987247302 & 0.0591012752697964 \tabularnewline
108 & 5.11 & 5.0532109714289 & 0.0567890285710995 \tabularnewline
109 & 5.07 & 5.06137537442107 & 0.00862462557893018 \tabularnewline
110 & 5.04 & 5.06951941432113 & -0.0295194143211317 \tabularnewline
111 & 5.34 & 5.1161088292242 & 0.223891170775804 \tabularnewline
112 & 5.43 & 5.36448767928963 & 0.0655123207103738 \tabularnewline
113 & 5.31 & 5.43557248617717 & -0.125572486177171 \tabularnewline
114 & 5.12 & 5.27319982627485 & -0.153199826274854 \tabularnewline
115 & 4.97 & 5.21935398537496 & -0.249353985374956 \tabularnewline
116 & 5 & 5.08173459514206 & -0.0817345951420583 \tabularnewline
117 & 4.64 & 5.04208695270103 & -0.402086952701028 \tabularnewline
118 & 4.8 & 4.5249972489746 & 0.275002751025398 \tabularnewline
119 & 5.1 & 4.55505479005605 & 0.544945209943946 \tabularnewline
120 & 5.11 & 4.81429748120362 & 0.295702518796376 \tabularnewline
121 & 5.12 & 5.00280406946534 & 0.117195930534661 \tabularnewline
122 & 5.36 & 5.09500407333781 & 0.264995926662187 \tabularnewline
123 & 5.26 & 5.44118642335649 & -0.181186423356489 \tabularnewline
124 & 5.27 & 5.34768927011923 & -0.0776892701192278 \tabularnewline
125 & 5.1 & 5.26887881863234 & -0.168878818632339 \tabularnewline
126 & 4.94 & 5.07020373330524 & -0.130203733305238 \tabularnewline
127 & 4.68 & 5.01601813892405 & -0.336018138924046 \tabularnewline
128 & 4.41 & 4.85200175067822 & -0.442001750678222 \tabularnewline
129 & 4.6 & 4.45671596526153 & 0.143284034738469 \tabularnewline
130 & 4.53 & 4.520746449859 & 0.00925355014099605 \tabularnewline
131 & 4.18 & 4.40803654823572 & -0.228036548235724 \tabularnewline
132 & 4 & 4.00013693342971 & -0.000136933429713437 \tabularnewline
133 & 3.87 & 3.90038309848731 & -0.0303830984873059 \tabularnewline
134 & 4.09 & 3.8904618934014 & 0.199538106598605 \tabularnewline
135 & 4.13 & 4.06113396546148 & 0.0688660345385159 \tabularnewline
136 & 3.74 & 4.16573820647755 & -0.425738206477547 \tabularnewline
137 & 3.81 & 3.77249817979079 & 0.037501820209211 \tabularnewline
138 & 4.11 & 3.72078424510128 & 0.389215754898721 \tabularnewline
139 & 4.14 & 4.00905460057487 & 0.130945399425126 \tabularnewline
140 & 3.99 & 4.17849867668749 & -0.188498676687495 \tabularnewline
141 & 4.28 & 4.1144033273371 & 0.165596672662903 \tabularnewline
142 & 4.37 & 4.16745757896239 & 0.20254242103761 \tabularnewline
143 & 4.24 & 4.15577040827694 & 0.0842295917230595 \tabularnewline
144 & 4.19 & 4.05270108063244 & 0.137298919367565 \tabularnewline
145 & 4.01 & 4.06649723127456 & -0.0564972312745642 \tabularnewline
146 & 3.95 & 4.1027830887892 & -0.152783088789195 \tabularnewline
147 & 4.3 & 3.97903794892205 & 0.320962051077953 \tabularnewline
148 & 4.37 & 4.1773620026298 & 0.192637997370205 \tabularnewline
149 & 4.4 & 4.39065089982883 & 0.00934910017116586 \tabularnewline
150 & 4.29 & 4.42050181508611 & -0.130501815086113 \tabularnewline
151 & 4.12 & 4.26205659932877 & -0.142056599328768 \tabularnewline
152 & 4.07 & 4.15614809255018 & -0.0861480925501805 \tabularnewline
153 & 3.93 & 4.26200885511471 & -0.332008855114709 \tabularnewline
154 & 3.79 & 3.94032129576789 & -0.150321295767887 \tabularnewline
155 & 3.67 & 3.62359254952029 & 0.0464074504797067 \tabularnewline
156 & 3.53 & 3.49703423915219 & 0.0329657608478113 \tabularnewline
157 & 3.69 & 3.37772714049208 & 0.312272859507924 \tabularnewline
158 & 3.69 & 3.67517801889859 & 0.0148219811014068 \tabularnewline
159 & 3.48 & 3.79054850468645 & -0.310548504686454 \tabularnewline
160 & 3.31 & 3.4620628645753 & -0.152062864575299 \tabularnewline
161 & 3.16 & 3.35092937582724 & -0.190929375827237 \tabularnewline
162 & 3.25 & 3.17400041302727 & 0.0759995869727295 \tabularnewline
163 & 3.14 & 3.15585492907966 & -0.0158549290796626 \tabularnewline
164 & 3.19 & 3.14601997856561 & 0.0439800214343933 \tabularnewline
165 & 3.43 & 3.28454637033316 & 0.145453629666842 \tabularnewline
166 & 3.45 & 3.37006775360689 & 0.0799322463931142 \tabularnewline
167 & 3.31 & 3.27747936638063 & 0.0325206336193737 \tabularnewline
168 & 3.51 & 3.13841416878171 & 0.371585831218285 \tabularnewline
169 & 3.53 & 3.35178466208097 & 0.178215337919026 \tabularnewline
170 & 3.83 & 3.4829840447075 & 0.347015955292504 \tabularnewline
171 & 4.02 & 3.7917774540164 & 0.2282225459836 \tabularnewline
172 & 3.99 & 3.93661511316622 & 0.0533848868337765 \tabularnewline
173 & 4.11 & 4.00034201867345 & 0.109657981326548 \tabularnewline
174 & 3.96 & 4.14709098746412 & -0.187090987464123 \tabularnewline
175 & 3.83 & 3.93079710914535 & -0.100797109145348 \tabularnewline
176 & 3.71 & 3.89334010851328 & -0.18334010851328 \tabularnewline
177 & 3.81 & 3.89962074820899 & -0.0896207482089877 \tabularnewline
178 & 3.73 & 3.80441903822254 & -0.0744190382225414 \tabularnewline
179 & 3.99 & 3.59466366832218 & 0.395336331677819 \tabularnewline
180 & 4.17 & 3.83254027545042 & 0.33745972454958 \tabularnewline
181 & 4 & 3.99435411828501 & 0.00564588171498936 \tabularnewline
182 & 4.1 & 4.04657767895883 & 0.0534223210411735 \tabularnewline
183 & 4.24 & 4.11188418757965 & 0.128115812420347 \tabularnewline
184 & 4.45 & 4.14791100743733 & 0.302088992562672 \tabularnewline
185 & 4.62 & 4.42941613944858 & 0.190583860551418 \tabularnewline
186 & 4.49 & 4.58540082049767 & -0.0954008204976713 \tabularnewline
187 & 4.45 & 4.47577229150342 & -0.0257722915034186 \tabularnewline
188 & 4.49 & 4.49498819604262 & -0.00498819604262302 \tabularnewline
189 & 4.36 & 4.6812388951994 & -0.321238895199401 \tabularnewline
190 & 4.32 & 4.4273567392011 & -0.107356739201097 \tabularnewline
191 & 4.45 & 4.3153784617559 & 0.134621538244097 \tabularnewline
192 & 4.13 & 4.34996510434604 & -0.219965104346041 \tabularnewline
193 & 4.14 & 4.00658085523506 & 0.133419144764938 \tabularnewline
194 & 4.3 & 4.17144619140562 & 0.128553808594377 \tabularnewline
195 & 4.42 & 4.31630941438204 & 0.103690585617958 \tabularnewline
196 & 4.67 & 4.3772560338091 & 0.292743966190899 \tabularnewline
197 & 4.96 & 4.62999821009184 & 0.330001789908157 \tabularnewline
198 & 4.73 & 4.83481750815126 & -0.104817508151257 \tabularnewline
199 & 4.52 & 4.74013044360224 & -0.220130443602237 \tabularnewline
200 & 4.36 & 4.61677983135546 & -0.256779831355461 \tabularnewline
201 & 4.15 & 4.53452891498256 & -0.384528914982561 \tabularnewline
202 & 3.92 & 4.27742817109536 & -0.357428171095365 \tabularnewline
203 & 3.88 & 4.01982246221288 & -0.139822462212885 \tabularnewline
204 & 4.2 & 3.74871458636164 & 0.451285413638356 \tabularnewline
205 & 3.95 & 4.00359840454031 & -0.0535984045403088 \tabularnewline
206 & 3.78 & 4.01908248396179 & -0.239082483961793 \tabularnewline
207 & 3.69 & 3.86374431225355 & -0.17374431225355 \tabularnewline
208 & 3.77 & 3.73774960507647 & 0.0322503949235338 \tabularnewline
209 & 3.66 & 3.77712760915537 & -0.117127609155365 \tabularnewline
210 & 3.53 & 3.50846989690169 & 0.0215301030983124 \tabularnewline
211 & 3.5 & 3.45818183478444 & 0.041818165215556 \tabularnewline
212 & 3.14 & 3.50672271775556 & -0.366722717755557 \tabularnewline
213 & 3.42 & 3.28649941370266 & 0.133500586297345 \tabularnewline
214 & 3.3 & 3.42109044506047 & -0.12109044506047 \tabularnewline
215 & 2.81 & 3.38564923370697 & -0.575649233706972 \tabularnewline
216 & 3.15 & 2.89503942960171 & 0.25496057039829 \tabularnewline
217 & 3.37 & 2.86149701828708 & 0.508502981712923 \tabularnewline
218 & 4.05 & 3.25727559504241 & 0.792724404957586 \tabularnewline
219 & 4 & 3.92122864883542 & 0.0787713511645847 \tabularnewline
220 & 4.2 & 4.04987875157151 & 0.15012124842849 \tabularnewline
221 & 4.21 & 4.16108381368183 & 0.0489161863181673 \tabularnewline
222 & 4.24 & 4.07026018135327 & 0.169739818646734 \tabularnewline
223 & 4.24 & 4.15979332487593 & 0.0802066751240655 \tabularnewline
224 & 4.17 & 4.16625120455174 & 0.00374879544826179 \tabularnewline
225 & 4.12 & 4.37453752380321 & -0.254537523803212 \tabularnewline
226 & 4.35 & 4.17273564449516 & 0.177264355504835 \tabularnewline
227 & 3.98 & 4.29058704768981 & -0.310587047689807 \tabularnewline
228 & 3.62 & 4.2257984298156 & -0.605798429815599 \tabularnewline
229 & 4.39 & 3.60143233259949 & 0.788567667400514 \tabularnewline
230 & 5.01 & 4.29909401693621 & 0.710905983063792 \tabularnewline
231 & 4.07 & 4.75631700236615 & -0.686317002366149 \tabularnewline
232 & 3.7 & 4.31583399724064 & -0.615833997240641 \tabularnewline
233 & 3.59 & 3.80357549278233 & -0.21357549278233 \tabularnewline
234 & 3.44 & 3.52363228287019 & -0.0836322828701936 \tabularnewline
235 & 3.33 & 3.37835510071664 & -0.0483551007166421 \tabularnewline
236 & 2.98 & 3.24691714137006 & -0.266917141370061 \tabularnewline
237 & 3.14 & 3.16109079955037 & -0.0210907995503744 \tabularnewline
238 & 2.55 & 3.21608265067495 & -0.666082650674945 \tabularnewline
239 & 2.49 & 2.53406729375961 & -0.0440672937596109 \tabularnewline
240 & 2.53 & 2.57493386157035 & -0.0449338615703518 \tabularnewline
241 & 2.43 & 2.67942467830851 & -0.249424678308513 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191792&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]7.52[/C][C]8.38150641025641[/C][C]-0.861506410256409[/C][/ROW]
[ROW][C]14[/C][C]7.38[/C][C]7.57025991656781[/C][C]-0.190259916567806[/C][/ROW]
[ROW][C]15[/C][C]7.52[/C][C]7.51394737919331[/C][C]0.00605262080669[/C][/ROW]
[ROW][C]16[/C][C]7.31[/C][C]7.25759425449473[/C][C]0.0524057455052729[/C][/ROW]
[ROW][C]17[/C][C]6.92[/C][C]6.86799355074451[/C][C]0.0520064492554937[/C][/ROW]
[ROW][C]18[/C][C]7.09[/C][C]7.03322116221199[/C][C]0.0567788377880065[/C][/ROW]
[ROW][C]19[/C][C]7.05[/C][C]7.58652423680383[/C][C]-0.536524236803827[/C][/ROW]
[ROW][C]20[/C][C]7.37[/C][C]6.66524658992018[/C][C]0.704753410079822[/C][/ROW]
[ROW][C]21[/C][C]7.05[/C][C]6.69470760374717[/C][C]0.355292396252833[/C][/ROW]
[ROW][C]22[/C][C]6.79[/C][C]6.82066492102901[/C][C]-0.030664921029012[/C][/ROW]
[ROW][C]23[/C][C]6.35[/C][C]6.47317012384964[/C][C]-0.12317012384964[/C][/ROW]
[ROW][C]24[/C][C]6.44[/C][C]6.24156663059912[/C][C]0.198433369400877[/C][/ROW]
[ROW][C]25[/C][C]6.89[/C][C]6.2002765002594[/C][C]0.689723499740595[/C][/ROW]
[ROW][C]26[/C][C]7.16[/C][C]6.76247131702862[/C][C]0.397528682971381[/C][/ROW]
[ROW][C]27[/C][C]7.46[/C][C]7.2385993328374[/C][C]0.221400667162597[/C][/ROW]
[ROW][C]28[/C][C]7.91[/C][C]7.19703316052302[/C][C]0.712966839476982[/C][/ROW]
[ROW][C]29[/C][C]7.86[/C][C]7.36748215251361[/C][C]0.49251784748639[/C][/ROW]
[ROW][C]30[/C][C]8.02[/C][C]7.93232092901389[/C][C]0.0876790709861126[/C][/ROW]
[ROW][C]31[/C][C]8.38[/C][C]8.4331919079006[/C][C]-0.0531919079005956[/C][/ROW]
[ROW][C]32[/C][C]8.5[/C][C]8.23633951105303[/C][C]0.263660488946968[/C][/ROW]
[ROW][C]33[/C][C]8.4[/C][C]7.90551950067495[/C][C]0.494480499325054[/C][/ROW]
[ROW][C]34[/C][C]8.24[/C][C]8.11332129566807[/C][C]0.126678704331935[/C][/ROW]
[ROW][C]35[/C][C]8.33[/C][C]7.93158447930024[/C][C]0.398415520699755[/C][/ROW]
[ROW][C]36[/C][C]8.28[/C][C]8.25108737095379[/C][C]0.0289126290462125[/C][/ROW]
[ROW][C]37[/C][C]8.15[/C][C]8.26307250024262[/C][C]-0.113072500242618[/C][/ROW]
[ROW][C]38[/C][C]8.06[/C][C]8.19601819332098[/C][C]-0.136018193320982[/C][/ROW]
[ROW][C]39[/C][C]7.79[/C][C]8.26723971428451[/C][C]-0.477239714284511[/C][/ROW]
[ROW][C]40[/C][C]7.28[/C][C]7.83269077117782[/C][C]-0.552690771177822[/C][/ROW]
[ROW][C]41[/C][C]7.52[/C][C]6.9864484728296[/C][C]0.533551527170399[/C][/ROW]
[ROW][C]42[/C][C]7.23[/C][C]7.50178161937309[/C][C]-0.271781619373094[/C][/ROW]
[ROW][C]43[/C][C]7.13[/C][C]7.69758232216604[/C][C]-0.567582322166038[/C][/ROW]
[ROW][C]44[/C][C]7.21[/C][C]7.17094745508613[/C][C]0.0390525449138668[/C][/ROW]
[ROW][C]45[/C][C]6.99[/C][C]6.71017642794473[/C][C]0.279823572055268[/C][/ROW]
[ROW][C]46[/C][C]6.77[/C][C]6.65509644946198[/C][C]0.114903550538022[/C][/ROW]
[ROW][C]47[/C][C]6.69[/C][C]6.51278693406932[/C][C]0.177213065930679[/C][/ROW]
[ROW][C]48[/C][C]6.39[/C][C]6.55962344378882[/C][C]-0.16962344378882[/C][/ROW]
[ROW][C]49[/C][C]6.85[/C][C]6.36465417107083[/C][C]0.48534582892917[/C][/ROW]
[ROW][C]50[/C][C]6.74[/C][C]6.74405627285539[/C][C]-0.00405627285538923[/C][/ROW]
[ROW][C]51[/C][C]6.56[/C][C]6.83155405650913[/C][C]-0.271554056509129[/C][/ROW]
[ROW][C]52[/C][C]6.62[/C][C]6.5346666218235[/C][C]0.0853333781764976[/C][/ROW]
[ROW][C]53[/C][C]6.71[/C][C]6.43676406835281[/C][C]0.273235931647189[/C][/ROW]
[ROW][C]54[/C][C]6.67[/C][C]6.57058234170962[/C][C]0.0994176582903838[/C][/ROW]
[ROW][C]55[/C][C]6.54[/C][C]6.99546833015358[/C][C]-0.455468330153583[/C][/ROW]
[ROW][C]56[/C][C]6.14[/C][C]6.70598801581533[/C][C]-0.565988015815333[/C][/ROW]
[ROW][C]57[/C][C]6.13[/C][C]5.83410009017726[/C][C]0.295899909822737[/C][/ROW]
[ROW][C]58[/C][C]5.86[/C][C]5.75499811025026[/C][C]0.105001889749739[/C][/ROW]
[ROW][C]59[/C][C]5.88[/C][C]5.6202869479283[/C][C]0.259713052071696[/C][/ROW]
[ROW][C]60[/C][C]5.75[/C][C]5.65420668837501[/C][C]0.0957933116249876[/C][/ROW]
[ROW][C]61[/C][C]5.53[/C][C]5.82106078523497[/C][C]-0.291060785234967[/C][/ROW]
[ROW][C]62[/C][C]5.86[/C][C]5.48258246831792[/C][C]0.377417531682078[/C][/ROW]
[ROW][C]63[/C][C]5.9[/C][C]5.8036004359564[/C][C]0.0963995640436019[/C][/ROW]
[ROW][C]64[/C][C]5.95[/C][C]5.87914728895989[/C][C]0.0708527110401107[/C][/ROW]
[ROW][C]65[/C][C]5.69[/C][C]5.819684730087[/C][C]-0.129684730087[/C][/ROW]
[ROW][C]66[/C][C]5.53[/C][C]5.60208670486345[/C][C]-0.0720867048634455[/C][/ROW]
[ROW][C]67[/C][C]5.71[/C][C]5.76400308507249[/C][C]-0.0540030850724875[/C][/ROW]
[ROW][C]68[/C][C]5.6[/C][C]5.76266154937511[/C][C]-0.162661549375113[/C][/ROW]
[ROW][C]69[/C][C]5.73[/C][C]5.40977759039201[/C][C]0.320222409607993[/C][/ROW]
[ROW][C]70[/C][C]5.6[/C][C]5.31736936203929[/C][C]0.282630637960711[/C][/ROW]
[ROW][C]71[/C][C]5.41[/C][C]5.36985496638696[/C][C]0.0401450336130393[/C][/ROW]
[ROW][C]72[/C][C]5.13[/C][C]5.20760922397573[/C][C]-0.0776092239757267[/C][/ROW]
[ROW][C]73[/C][C]5[/C][C]5.15981999564371[/C][C]-0.159819995643708[/C][/ROW]
[ROW][C]74[/C][C]5.04[/C][C]5.08509941237594[/C][C]-0.0450994123759436[/C][/ROW]
[ROW][C]75[/C][C]5.1[/C][C]5.0179290587842[/C][C]0.0820709412157958[/C][/ROW]
[ROW][C]76[/C][C]4.96[/C][C]5.0783580151174[/C][C]-0.118358015117397[/C][/ROW]
[ROW][C]77[/C][C]4.9[/C][C]4.82534227069984[/C][C]0.0746577293001565[/C][/ROW]
[ROW][C]78[/C][C]4.8[/C][C]4.78065197278939[/C][C]0.0193480272106141[/C][/ROW]
[ROW][C]79[/C][C]4.48[/C][C]5.02102209886213[/C][C]-0.541022098862131[/C][/ROW]
[ROW][C]80[/C][C]4.29[/C][C]4.61368102091042[/C][C]-0.32368102091042[/C][/ROW]
[ROW][C]81[/C][C]4.27[/C][C]4.23839232487691[/C][C]0.03160767512309[/C][/ROW]
[ROW][C]82[/C][C]4.18[/C][C]3.90094502932384[/C][C]0.279054970676157[/C][/ROW]
[ROW][C]83[/C][C]4.02[/C][C]3.88155925197548[/C][C]0.138440748024518[/C][/ROW]
[ROW][C]84[/C][C]3.82[/C][C]3.75636328021873[/C][C]0.0636367197812668[/C][/ROW]
[ROW][C]85[/C][C]4.13[/C][C]3.78951777728333[/C][C]0.34048222271667[/C][/ROW]
[ROW][C]86[/C][C]4.16[/C][C]4.12712932857775[/C][C]0.0328706714222484[/C][/ROW]
[ROW][C]87[/C][C]3.98[/C][C]4.15063199065633[/C][C]-0.170631990656327[/C][/ROW]
[ROW][C]88[/C][C]4.26[/C][C]3.96704993861429[/C][C]0.292950061385712[/C][/ROW]
[ROW][C]89[/C][C]4.7[/C][C]4.07995998259278[/C][C]0.620040017407221[/C][/ROW]
[ROW][C]90[/C][C]4.96[/C][C]4.45817487789502[/C][C]0.501825122104984[/C][/ROW]
[ROW][C]91[/C][C]5.13[/C][C]4.96664066471027[/C][C]0.163359335289728[/C][/ROW]
[ROW][C]92[/C][C]5.35[/C][C]5.1892724049407[/C][C]0.1607275950593[/C][/ROW]
[ROW][C]93[/C][C]5.41[/C][C]5.31469594569573[/C][C]0.0953040543042665[/C][/ROW]
[ROW][C]94[/C][C]5.42[/C][C]5.12983488062167[/C][C]0.290165119378326[/C][/ROW]
[ROW][C]95[/C][C]5.51[/C][C]5.13409944694611[/C][C]0.375900553053893[/C][/ROW]
[ROW][C]96[/C][C]5.75[/C][C]5.22669589455412[/C][C]0.523304105445883[/C][/ROW]
[ROW][C]97[/C][C]5.67[/C][C]5.7379615205411[/C][C]-0.0679615205410995[/C][/ROW]
[ROW][C]98[/C][C]5.46[/C][C]5.74268738019417[/C][C]-0.282687380194168[/C][/ROW]
[ROW][C]99[/C][C]5.56[/C][C]5.52286665011546[/C][C]0.0371333498845354[/C][/ROW]
[ROW][C]100[/C][C]5.56[/C][C]5.65596596081596[/C][C]-0.0959659608159606[/C][/ROW]
[ROW][C]101[/C][C]5.54[/C][C]5.58664052556061[/C][C]-0.0466405255606146[/C][/ROW]
[ROW][C]102[/C][C]5.53[/C][C]5.45418967380981[/C][C]0.0758103261901937[/C][/ROW]
[ROW][C]103[/C][C]5.65[/C][C]5.57952800336322[/C][C]0.0704719966367771[/C][/ROW]
[ROW][C]104[/C][C]5.58[/C][C]5.75104522193799[/C][C]-0.171045221937987[/C][/ROW]
[ROW][C]105[/C][C]5.57[/C][C]5.62046711671997[/C][C]-0.0504671167199682[/C][/ROW]
[ROW][C]106[/C][C]5.36[/C][C]5.37983936671363[/C][C]-0.0198393667136321[/C][/ROW]
[ROW][C]107[/C][C]5.23[/C][C]5.1708987247302[/C][C]0.0591012752697964[/C][/ROW]
[ROW][C]108[/C][C]5.11[/C][C]5.0532109714289[/C][C]0.0567890285710995[/C][/ROW]
[ROW][C]109[/C][C]5.07[/C][C]5.06137537442107[/C][C]0.00862462557893018[/C][/ROW]
[ROW][C]110[/C][C]5.04[/C][C]5.06951941432113[/C][C]-0.0295194143211317[/C][/ROW]
[ROW][C]111[/C][C]5.34[/C][C]5.1161088292242[/C][C]0.223891170775804[/C][/ROW]
[ROW][C]112[/C][C]5.43[/C][C]5.36448767928963[/C][C]0.0655123207103738[/C][/ROW]
[ROW][C]113[/C][C]5.31[/C][C]5.43557248617717[/C][C]-0.125572486177171[/C][/ROW]
[ROW][C]114[/C][C]5.12[/C][C]5.27319982627485[/C][C]-0.153199826274854[/C][/ROW]
[ROW][C]115[/C][C]4.97[/C][C]5.21935398537496[/C][C]-0.249353985374956[/C][/ROW]
[ROW][C]116[/C][C]5[/C][C]5.08173459514206[/C][C]-0.0817345951420583[/C][/ROW]
[ROW][C]117[/C][C]4.64[/C][C]5.04208695270103[/C][C]-0.402086952701028[/C][/ROW]
[ROW][C]118[/C][C]4.8[/C][C]4.5249972489746[/C][C]0.275002751025398[/C][/ROW]
[ROW][C]119[/C][C]5.1[/C][C]4.55505479005605[/C][C]0.544945209943946[/C][/ROW]
[ROW][C]120[/C][C]5.11[/C][C]4.81429748120362[/C][C]0.295702518796376[/C][/ROW]
[ROW][C]121[/C][C]5.12[/C][C]5.00280406946534[/C][C]0.117195930534661[/C][/ROW]
[ROW][C]122[/C][C]5.36[/C][C]5.09500407333781[/C][C]0.264995926662187[/C][/ROW]
[ROW][C]123[/C][C]5.26[/C][C]5.44118642335649[/C][C]-0.181186423356489[/C][/ROW]
[ROW][C]124[/C][C]5.27[/C][C]5.34768927011923[/C][C]-0.0776892701192278[/C][/ROW]
[ROW][C]125[/C][C]5.1[/C][C]5.26887881863234[/C][C]-0.168878818632339[/C][/ROW]
[ROW][C]126[/C][C]4.94[/C][C]5.07020373330524[/C][C]-0.130203733305238[/C][/ROW]
[ROW][C]127[/C][C]4.68[/C][C]5.01601813892405[/C][C]-0.336018138924046[/C][/ROW]
[ROW][C]128[/C][C]4.41[/C][C]4.85200175067822[/C][C]-0.442001750678222[/C][/ROW]
[ROW][C]129[/C][C]4.6[/C][C]4.45671596526153[/C][C]0.143284034738469[/C][/ROW]
[ROW][C]130[/C][C]4.53[/C][C]4.520746449859[/C][C]0.00925355014099605[/C][/ROW]
[ROW][C]131[/C][C]4.18[/C][C]4.40803654823572[/C][C]-0.228036548235724[/C][/ROW]
[ROW][C]132[/C][C]4[/C][C]4.00013693342971[/C][C]-0.000136933429713437[/C][/ROW]
[ROW][C]133[/C][C]3.87[/C][C]3.90038309848731[/C][C]-0.0303830984873059[/C][/ROW]
[ROW][C]134[/C][C]4.09[/C][C]3.8904618934014[/C][C]0.199538106598605[/C][/ROW]
[ROW][C]135[/C][C]4.13[/C][C]4.06113396546148[/C][C]0.0688660345385159[/C][/ROW]
[ROW][C]136[/C][C]3.74[/C][C]4.16573820647755[/C][C]-0.425738206477547[/C][/ROW]
[ROW][C]137[/C][C]3.81[/C][C]3.77249817979079[/C][C]0.037501820209211[/C][/ROW]
[ROW][C]138[/C][C]4.11[/C][C]3.72078424510128[/C][C]0.389215754898721[/C][/ROW]
[ROW][C]139[/C][C]4.14[/C][C]4.00905460057487[/C][C]0.130945399425126[/C][/ROW]
[ROW][C]140[/C][C]3.99[/C][C]4.17849867668749[/C][C]-0.188498676687495[/C][/ROW]
[ROW][C]141[/C][C]4.28[/C][C]4.1144033273371[/C][C]0.165596672662903[/C][/ROW]
[ROW][C]142[/C][C]4.37[/C][C]4.16745757896239[/C][C]0.20254242103761[/C][/ROW]
[ROW][C]143[/C][C]4.24[/C][C]4.15577040827694[/C][C]0.0842295917230595[/C][/ROW]
[ROW][C]144[/C][C]4.19[/C][C]4.05270108063244[/C][C]0.137298919367565[/C][/ROW]
[ROW][C]145[/C][C]4.01[/C][C]4.06649723127456[/C][C]-0.0564972312745642[/C][/ROW]
[ROW][C]146[/C][C]3.95[/C][C]4.1027830887892[/C][C]-0.152783088789195[/C][/ROW]
[ROW][C]147[/C][C]4.3[/C][C]3.97903794892205[/C][C]0.320962051077953[/C][/ROW]
[ROW][C]148[/C][C]4.37[/C][C]4.1773620026298[/C][C]0.192637997370205[/C][/ROW]
[ROW][C]149[/C][C]4.4[/C][C]4.39065089982883[/C][C]0.00934910017116586[/C][/ROW]
[ROW][C]150[/C][C]4.29[/C][C]4.42050181508611[/C][C]-0.130501815086113[/C][/ROW]
[ROW][C]151[/C][C]4.12[/C][C]4.26205659932877[/C][C]-0.142056599328768[/C][/ROW]
[ROW][C]152[/C][C]4.07[/C][C]4.15614809255018[/C][C]-0.0861480925501805[/C][/ROW]
[ROW][C]153[/C][C]3.93[/C][C]4.26200885511471[/C][C]-0.332008855114709[/C][/ROW]
[ROW][C]154[/C][C]3.79[/C][C]3.94032129576789[/C][C]-0.150321295767887[/C][/ROW]
[ROW][C]155[/C][C]3.67[/C][C]3.62359254952029[/C][C]0.0464074504797067[/C][/ROW]
[ROW][C]156[/C][C]3.53[/C][C]3.49703423915219[/C][C]0.0329657608478113[/C][/ROW]
[ROW][C]157[/C][C]3.69[/C][C]3.37772714049208[/C][C]0.312272859507924[/C][/ROW]
[ROW][C]158[/C][C]3.69[/C][C]3.67517801889859[/C][C]0.0148219811014068[/C][/ROW]
[ROW][C]159[/C][C]3.48[/C][C]3.79054850468645[/C][C]-0.310548504686454[/C][/ROW]
[ROW][C]160[/C][C]3.31[/C][C]3.4620628645753[/C][C]-0.152062864575299[/C][/ROW]
[ROW][C]161[/C][C]3.16[/C][C]3.35092937582724[/C][C]-0.190929375827237[/C][/ROW]
[ROW][C]162[/C][C]3.25[/C][C]3.17400041302727[/C][C]0.0759995869727295[/C][/ROW]
[ROW][C]163[/C][C]3.14[/C][C]3.15585492907966[/C][C]-0.0158549290796626[/C][/ROW]
[ROW][C]164[/C][C]3.19[/C][C]3.14601997856561[/C][C]0.0439800214343933[/C][/ROW]
[ROW][C]165[/C][C]3.43[/C][C]3.28454637033316[/C][C]0.145453629666842[/C][/ROW]
[ROW][C]166[/C][C]3.45[/C][C]3.37006775360689[/C][C]0.0799322463931142[/C][/ROW]
[ROW][C]167[/C][C]3.31[/C][C]3.27747936638063[/C][C]0.0325206336193737[/C][/ROW]
[ROW][C]168[/C][C]3.51[/C][C]3.13841416878171[/C][C]0.371585831218285[/C][/ROW]
[ROW][C]169[/C][C]3.53[/C][C]3.35178466208097[/C][C]0.178215337919026[/C][/ROW]
[ROW][C]170[/C][C]3.83[/C][C]3.4829840447075[/C][C]0.347015955292504[/C][/ROW]
[ROW][C]171[/C][C]4.02[/C][C]3.7917774540164[/C][C]0.2282225459836[/C][/ROW]
[ROW][C]172[/C][C]3.99[/C][C]3.93661511316622[/C][C]0.0533848868337765[/C][/ROW]
[ROW][C]173[/C][C]4.11[/C][C]4.00034201867345[/C][C]0.109657981326548[/C][/ROW]
[ROW][C]174[/C][C]3.96[/C][C]4.14709098746412[/C][C]-0.187090987464123[/C][/ROW]
[ROW][C]175[/C][C]3.83[/C][C]3.93079710914535[/C][C]-0.100797109145348[/C][/ROW]
[ROW][C]176[/C][C]3.71[/C][C]3.89334010851328[/C][C]-0.18334010851328[/C][/ROW]
[ROW][C]177[/C][C]3.81[/C][C]3.89962074820899[/C][C]-0.0896207482089877[/C][/ROW]
[ROW][C]178[/C][C]3.73[/C][C]3.80441903822254[/C][C]-0.0744190382225414[/C][/ROW]
[ROW][C]179[/C][C]3.99[/C][C]3.59466366832218[/C][C]0.395336331677819[/C][/ROW]
[ROW][C]180[/C][C]4.17[/C][C]3.83254027545042[/C][C]0.33745972454958[/C][/ROW]
[ROW][C]181[/C][C]4[/C][C]3.99435411828501[/C][C]0.00564588171498936[/C][/ROW]
[ROW][C]182[/C][C]4.1[/C][C]4.04657767895883[/C][C]0.0534223210411735[/C][/ROW]
[ROW][C]183[/C][C]4.24[/C][C]4.11188418757965[/C][C]0.128115812420347[/C][/ROW]
[ROW][C]184[/C][C]4.45[/C][C]4.14791100743733[/C][C]0.302088992562672[/C][/ROW]
[ROW][C]185[/C][C]4.62[/C][C]4.42941613944858[/C][C]0.190583860551418[/C][/ROW]
[ROW][C]186[/C][C]4.49[/C][C]4.58540082049767[/C][C]-0.0954008204976713[/C][/ROW]
[ROW][C]187[/C][C]4.45[/C][C]4.47577229150342[/C][C]-0.0257722915034186[/C][/ROW]
[ROW][C]188[/C][C]4.49[/C][C]4.49498819604262[/C][C]-0.00498819604262302[/C][/ROW]
[ROW][C]189[/C][C]4.36[/C][C]4.6812388951994[/C][C]-0.321238895199401[/C][/ROW]
[ROW][C]190[/C][C]4.32[/C][C]4.4273567392011[/C][C]-0.107356739201097[/C][/ROW]
[ROW][C]191[/C][C]4.45[/C][C]4.3153784617559[/C][C]0.134621538244097[/C][/ROW]
[ROW][C]192[/C][C]4.13[/C][C]4.34996510434604[/C][C]-0.219965104346041[/C][/ROW]
[ROW][C]193[/C][C]4.14[/C][C]4.00658085523506[/C][C]0.133419144764938[/C][/ROW]
[ROW][C]194[/C][C]4.3[/C][C]4.17144619140562[/C][C]0.128553808594377[/C][/ROW]
[ROW][C]195[/C][C]4.42[/C][C]4.31630941438204[/C][C]0.103690585617958[/C][/ROW]
[ROW][C]196[/C][C]4.67[/C][C]4.3772560338091[/C][C]0.292743966190899[/C][/ROW]
[ROW][C]197[/C][C]4.96[/C][C]4.62999821009184[/C][C]0.330001789908157[/C][/ROW]
[ROW][C]198[/C][C]4.73[/C][C]4.83481750815126[/C][C]-0.104817508151257[/C][/ROW]
[ROW][C]199[/C][C]4.52[/C][C]4.74013044360224[/C][C]-0.220130443602237[/C][/ROW]
[ROW][C]200[/C][C]4.36[/C][C]4.61677983135546[/C][C]-0.256779831355461[/C][/ROW]
[ROW][C]201[/C][C]4.15[/C][C]4.53452891498256[/C][C]-0.384528914982561[/C][/ROW]
[ROW][C]202[/C][C]3.92[/C][C]4.27742817109536[/C][C]-0.357428171095365[/C][/ROW]
[ROW][C]203[/C][C]3.88[/C][C]4.01982246221288[/C][C]-0.139822462212885[/C][/ROW]
[ROW][C]204[/C][C]4.2[/C][C]3.74871458636164[/C][C]0.451285413638356[/C][/ROW]
[ROW][C]205[/C][C]3.95[/C][C]4.00359840454031[/C][C]-0.0535984045403088[/C][/ROW]
[ROW][C]206[/C][C]3.78[/C][C]4.01908248396179[/C][C]-0.239082483961793[/C][/ROW]
[ROW][C]207[/C][C]3.69[/C][C]3.86374431225355[/C][C]-0.17374431225355[/C][/ROW]
[ROW][C]208[/C][C]3.77[/C][C]3.73774960507647[/C][C]0.0322503949235338[/C][/ROW]
[ROW][C]209[/C][C]3.66[/C][C]3.77712760915537[/C][C]-0.117127609155365[/C][/ROW]
[ROW][C]210[/C][C]3.53[/C][C]3.50846989690169[/C][C]0.0215301030983124[/C][/ROW]
[ROW][C]211[/C][C]3.5[/C][C]3.45818183478444[/C][C]0.041818165215556[/C][/ROW]
[ROW][C]212[/C][C]3.14[/C][C]3.50672271775556[/C][C]-0.366722717755557[/C][/ROW]
[ROW][C]213[/C][C]3.42[/C][C]3.28649941370266[/C][C]0.133500586297345[/C][/ROW]
[ROW][C]214[/C][C]3.3[/C][C]3.42109044506047[/C][C]-0.12109044506047[/C][/ROW]
[ROW][C]215[/C][C]2.81[/C][C]3.38564923370697[/C][C]-0.575649233706972[/C][/ROW]
[ROW][C]216[/C][C]3.15[/C][C]2.89503942960171[/C][C]0.25496057039829[/C][/ROW]
[ROW][C]217[/C][C]3.37[/C][C]2.86149701828708[/C][C]0.508502981712923[/C][/ROW]
[ROW][C]218[/C][C]4.05[/C][C]3.25727559504241[/C][C]0.792724404957586[/C][/ROW]
[ROW][C]219[/C][C]4[/C][C]3.92122864883542[/C][C]0.0787713511645847[/C][/ROW]
[ROW][C]220[/C][C]4.2[/C][C]4.04987875157151[/C][C]0.15012124842849[/C][/ROW]
[ROW][C]221[/C][C]4.21[/C][C]4.16108381368183[/C][C]0.0489161863181673[/C][/ROW]
[ROW][C]222[/C][C]4.24[/C][C]4.07026018135327[/C][C]0.169739818646734[/C][/ROW]
[ROW][C]223[/C][C]4.24[/C][C]4.15979332487593[/C][C]0.0802066751240655[/C][/ROW]
[ROW][C]224[/C][C]4.17[/C][C]4.16625120455174[/C][C]0.00374879544826179[/C][/ROW]
[ROW][C]225[/C][C]4.12[/C][C]4.37453752380321[/C][C]-0.254537523803212[/C][/ROW]
[ROW][C]226[/C][C]4.35[/C][C]4.17273564449516[/C][C]0.177264355504835[/C][/ROW]
[ROW][C]227[/C][C]3.98[/C][C]4.29058704768981[/C][C]-0.310587047689807[/C][/ROW]
[ROW][C]228[/C][C]3.62[/C][C]4.2257984298156[/C][C]-0.605798429815599[/C][/ROW]
[ROW][C]229[/C][C]4.39[/C][C]3.60143233259949[/C][C]0.788567667400514[/C][/ROW]
[ROW][C]230[/C][C]5.01[/C][C]4.29909401693621[/C][C]0.710905983063792[/C][/ROW]
[ROW][C]231[/C][C]4.07[/C][C]4.75631700236615[/C][C]-0.686317002366149[/C][/ROW]
[ROW][C]232[/C][C]3.7[/C][C]4.31583399724064[/C][C]-0.615833997240641[/C][/ROW]
[ROW][C]233[/C][C]3.59[/C][C]3.80357549278233[/C][C]-0.21357549278233[/C][/ROW]
[ROW][C]234[/C][C]3.44[/C][C]3.52363228287019[/C][C]-0.0836322828701936[/C][/ROW]
[ROW][C]235[/C][C]3.33[/C][C]3.37835510071664[/C][C]-0.0483551007166421[/C][/ROW]
[ROW][C]236[/C][C]2.98[/C][C]3.24691714137006[/C][C]-0.266917141370061[/C][/ROW]
[ROW][C]237[/C][C]3.14[/C][C]3.16109079955037[/C][C]-0.0210907995503744[/C][/ROW]
[ROW][C]238[/C][C]2.55[/C][C]3.21608265067495[/C][C]-0.666082650674945[/C][/ROW]
[ROW][C]239[/C][C]2.49[/C][C]2.53406729375961[/C][C]-0.0440672937596109[/C][/ROW]
[ROW][C]240[/C][C]2.53[/C][C]2.57493386157035[/C][C]-0.0449338615703518[/C][/ROW]
[ROW][C]241[/C][C]2.43[/C][C]2.67942467830851[/C][C]-0.249424678308513[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191792&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191792&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
137.528.38150641025641-0.861506410256409
147.387.57025991656781-0.190259916567806
157.527.513947379193310.00605262080669
167.317.257594254494730.0524057455052729
176.926.867993550744510.0520064492554937
187.097.033221162211990.0567788377880065
197.057.58652423680383-0.536524236803827
207.376.665246589920180.704753410079822
217.056.694707603747170.355292396252833
226.796.82066492102901-0.030664921029012
236.356.47317012384964-0.12317012384964
246.446.241566630599120.198433369400877
256.896.20027650025940.689723499740595
267.166.762471317028620.397528682971381
277.467.23859933283740.221400667162597
287.917.197033160523020.712966839476982
297.867.367482152513610.49251784748639
308.027.932320929013890.0876790709861126
318.388.4331919079006-0.0531919079005956
328.58.236339511053030.263660488946968
338.47.905519500674950.494480499325054
348.248.113321295668070.126678704331935
358.337.931584479300240.398415520699755
368.288.251087370953790.0289126290462125
378.158.26307250024262-0.113072500242618
388.068.19601819332098-0.136018193320982
397.798.26723971428451-0.477239714284511
407.287.83269077117782-0.552690771177822
417.526.98644847282960.533551527170399
427.237.50178161937309-0.271781619373094
437.137.69758232216604-0.567582322166038
447.217.170947455086130.0390525449138668
456.996.710176427944730.279823572055268
466.776.655096449461980.114903550538022
476.696.512786934069320.177213065930679
486.396.55962344378882-0.16962344378882
496.856.364654171070830.48534582892917
506.746.74405627285539-0.00405627285538923
516.566.83155405650913-0.271554056509129
526.626.53466662182350.0853333781764976
536.716.436764068352810.273235931647189
546.676.570582341709620.0994176582903838
556.546.99546833015358-0.455468330153583
566.146.70598801581533-0.565988015815333
576.135.834100090177260.295899909822737
585.865.754998110250260.105001889749739
595.885.62028694792830.259713052071696
605.755.654206688375010.0957933116249876
615.535.82106078523497-0.291060785234967
625.865.482582468317920.377417531682078
635.95.80360043595640.0963995640436019
645.955.879147288959890.0708527110401107
655.695.819684730087-0.129684730087
665.535.60208670486345-0.0720867048634455
675.715.76400308507249-0.0540030850724875
685.65.76266154937511-0.162661549375113
695.735.409777590392010.320222409607993
705.65.317369362039290.282630637960711
715.415.369854966386960.0401450336130393
725.135.20760922397573-0.0776092239757267
7355.15981999564371-0.159819995643708
745.045.08509941237594-0.0450994123759436
755.15.01792905878420.0820709412157958
764.965.0783580151174-0.118358015117397
774.94.825342270699840.0746577293001565
784.84.780651972789390.0193480272106141
794.485.02102209886213-0.541022098862131
804.294.61368102091042-0.32368102091042
814.274.238392324876910.03160767512309
824.183.900945029323840.279054970676157
834.023.881559251975480.138440748024518
843.823.756363280218730.0636367197812668
854.133.789517777283330.34048222271667
864.164.127129328577750.0328706714222484
873.984.15063199065633-0.170631990656327
884.263.967049938614290.292950061385712
894.74.079959982592780.620040017407221
904.964.458174877895020.501825122104984
915.134.966640664710270.163359335289728
925.355.18927240494070.1607275950593
935.415.314695945695730.0953040543042665
945.425.129834880621670.290165119378326
955.515.134099446946110.375900553053893
965.755.226695894554120.523304105445883
975.675.7379615205411-0.0679615205410995
985.465.74268738019417-0.282687380194168
995.565.522866650115460.0371333498845354
1005.565.65596596081596-0.0959659608159606
1015.545.58664052556061-0.0466405255606146
1025.535.454189673809810.0758103261901937
1035.655.579528003363220.0704719966367771
1045.585.75104522193799-0.171045221937987
1055.575.62046711671997-0.0504671167199682
1065.365.37983936671363-0.0198393667136321
1075.235.17089872473020.0591012752697964
1085.115.05321097142890.0567890285710995
1095.075.061375374421070.00862462557893018
1105.045.06951941432113-0.0295194143211317
1115.345.11610882922420.223891170775804
1125.435.364487679289630.0655123207103738
1135.315.43557248617717-0.125572486177171
1145.125.27319982627485-0.153199826274854
1154.975.21935398537496-0.249353985374956
11655.08173459514206-0.0817345951420583
1174.645.04208695270103-0.402086952701028
1184.84.52499724897460.275002751025398
1195.14.555054790056050.544945209943946
1205.114.814297481203620.295702518796376
1215.125.002804069465340.117195930534661
1225.365.095004073337810.264995926662187
1235.265.44118642335649-0.181186423356489
1245.275.34768927011923-0.0776892701192278
1255.15.26887881863234-0.168878818632339
1264.945.07020373330524-0.130203733305238
1274.685.01601813892405-0.336018138924046
1284.414.85200175067822-0.442001750678222
1294.64.456715965261530.143284034738469
1304.534.5207464498590.00925355014099605
1314.184.40803654823572-0.228036548235724
13244.00013693342971-0.000136933429713437
1333.873.90038309848731-0.0303830984873059
1344.093.89046189340140.199538106598605
1354.134.061133965461480.0688660345385159
1363.744.16573820647755-0.425738206477547
1373.813.772498179790790.037501820209211
1384.113.720784245101280.389215754898721
1394.144.009054600574870.130945399425126
1403.994.17849867668749-0.188498676687495
1414.284.11440332733710.165596672662903
1424.374.167457578962390.20254242103761
1434.244.155770408276940.0842295917230595
1444.194.052701080632440.137298919367565
1454.014.06649723127456-0.0564972312745642
1463.954.1027830887892-0.152783088789195
1474.33.979037948922050.320962051077953
1484.374.17736200262980.192637997370205
1494.44.390650899828830.00934910017116586
1504.294.42050181508611-0.130501815086113
1514.124.26205659932877-0.142056599328768
1524.074.15614809255018-0.0861480925501805
1533.934.26200885511471-0.332008855114709
1543.793.94032129576789-0.150321295767887
1553.673.623592549520290.0464074504797067
1563.533.497034239152190.0329657608478113
1573.693.377727140492080.312272859507924
1583.693.675178018898590.0148219811014068
1593.483.79054850468645-0.310548504686454
1603.313.4620628645753-0.152062864575299
1613.163.35092937582724-0.190929375827237
1623.253.174000413027270.0759995869727295
1633.143.15585492907966-0.0158549290796626
1643.193.146019978565610.0439800214343933
1653.433.284546370333160.145453629666842
1663.453.370067753606890.0799322463931142
1673.313.277479366380630.0325206336193737
1683.513.138414168781710.371585831218285
1693.533.351784662080970.178215337919026
1703.833.48298404470750.347015955292504
1714.023.79177745401640.2282225459836
1723.993.936615113166220.0533848868337765
1734.114.000342018673450.109657981326548
1743.964.14709098746412-0.187090987464123
1753.833.93079710914535-0.100797109145348
1763.713.89334010851328-0.18334010851328
1773.813.89962074820899-0.0896207482089877
1783.733.80441903822254-0.0744190382225414
1793.993.594663668322180.395336331677819
1804.173.832540275450420.33745972454958
18143.994354118285010.00564588171498936
1824.14.046577678958830.0534223210411735
1834.244.111884187579650.128115812420347
1844.454.147911007437330.302088992562672
1854.624.429416139448580.190583860551418
1864.494.58540082049767-0.0954008204976713
1874.454.47577229150342-0.0257722915034186
1884.494.49498819604262-0.00498819604262302
1894.364.6812388951994-0.321238895199401
1904.324.4273567392011-0.107356739201097
1914.454.31537846175590.134621538244097
1924.134.34996510434604-0.219965104346041
1934.144.006580855235060.133419144764938
1944.34.171446191405620.128553808594377
1954.424.316309414382040.103690585617958
1964.674.37725603380910.292743966190899
1974.964.629998210091840.330001789908157
1984.734.83481750815126-0.104817508151257
1994.524.74013044360224-0.220130443602237
2004.364.61677983135546-0.256779831355461
2014.154.53452891498256-0.384528914982561
2023.924.27742817109536-0.357428171095365
2033.884.01982246221288-0.139822462212885
2044.23.748714586361640.451285413638356
2053.954.00359840454031-0.0535984045403088
2063.784.01908248396179-0.239082483961793
2073.693.86374431225355-0.17374431225355
2083.773.737749605076470.0322503949235338
2093.663.77712760915537-0.117127609155365
2103.533.508469896901690.0215301030983124
2113.53.458181834784440.041818165215556
2123.143.50672271775556-0.366722717755557
2133.423.286499413702660.133500586297345
2143.33.42109044506047-0.12109044506047
2152.813.38564923370697-0.575649233706972
2163.152.895039429601710.25496057039829
2173.372.861497018287080.508502981712923
2184.053.257275595042410.792724404957586
21943.921228648835420.0787713511645847
2204.24.049878751571510.15012124842849
2214.214.161083813681830.0489161863181673
2224.244.070260181353270.169739818646734
2234.244.159793324875930.0802066751240655
2244.174.166251204551740.00374879544826179
2254.124.37453752380321-0.254537523803212
2264.354.172735644495160.177264355504835
2273.984.29058704768981-0.310587047689807
2283.624.2257984298156-0.605798429815599
2294.393.601432332599490.788567667400514
2305.014.299094016936210.710905983063792
2314.074.75631700236615-0.686317002366149
2323.74.31583399724064-0.615833997240641
2333.593.80357549278233-0.21357549278233
2343.443.52363228287019-0.0836322828701936
2353.333.37835510071664-0.0483551007166421
2362.983.24691714137006-0.266917141370061
2373.143.16109079955037-0.0210907995503744
2382.553.21608265067495-0.666082650674945
2392.492.53406729375961-0.0440672937596109
2402.532.57493386157035-0.0449338615703518
2412.432.67942467830851-0.249424678308513







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2422.516672661383961.967219609455533.06612571331239
2432.051539463923751.351164228348482.75191469949903
2442.114806311194711.285253761169032.94435886122039
2452.139095859691571.193049076119453.0851426432637
2462.027078559590680.9729074665231993.08124965265816
2471.929394062201750.773027366035423.08576075836807
2481.76129658204340.5071290426649653.01546412142183
2491.918448851283860.569840862120353.26705684044738
2501.823796483577650.3833743984544423.26421856870085
2511.791496426036080.2613451217695973.32164773030256
2521.860686955207840.2424795603286743.47889435008701
2531.948540589086560.2436293795266443.65345179864648

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
242 & 2.51667266138396 & 1.96721960945553 & 3.06612571331239 \tabularnewline
243 & 2.05153946392375 & 1.35116422834848 & 2.75191469949903 \tabularnewline
244 & 2.11480631119471 & 1.28525376116903 & 2.94435886122039 \tabularnewline
245 & 2.13909585969157 & 1.19304907611945 & 3.0851426432637 \tabularnewline
246 & 2.02707855959068 & 0.972907466523199 & 3.08124965265816 \tabularnewline
247 & 1.92939406220175 & 0.77302736603542 & 3.08576075836807 \tabularnewline
248 & 1.7612965820434 & 0.507129042664965 & 3.01546412142183 \tabularnewline
249 & 1.91844885128386 & 0.56984086212035 & 3.26705684044738 \tabularnewline
250 & 1.82379648357765 & 0.383374398454442 & 3.26421856870085 \tabularnewline
251 & 1.79149642603608 & 0.261345121769597 & 3.32164773030256 \tabularnewline
252 & 1.86068695520784 & 0.242479560328674 & 3.47889435008701 \tabularnewline
253 & 1.94854058908656 & 0.243629379526644 & 3.65345179864648 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191792&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]242[/C][C]2.51667266138396[/C][C]1.96721960945553[/C][C]3.06612571331239[/C][/ROW]
[ROW][C]243[/C][C]2.05153946392375[/C][C]1.35116422834848[/C][C]2.75191469949903[/C][/ROW]
[ROW][C]244[/C][C]2.11480631119471[/C][C]1.28525376116903[/C][C]2.94435886122039[/C][/ROW]
[ROW][C]245[/C][C]2.13909585969157[/C][C]1.19304907611945[/C][C]3.0851426432637[/C][/ROW]
[ROW][C]246[/C][C]2.02707855959068[/C][C]0.972907466523199[/C][C]3.08124965265816[/C][/ROW]
[ROW][C]247[/C][C]1.92939406220175[/C][C]0.77302736603542[/C][C]3.08576075836807[/C][/ROW]
[ROW][C]248[/C][C]1.7612965820434[/C][C]0.507129042664965[/C][C]3.01546412142183[/C][/ROW]
[ROW][C]249[/C][C]1.91844885128386[/C][C]0.56984086212035[/C][C]3.26705684044738[/C][/ROW]
[ROW][C]250[/C][C]1.82379648357765[/C][C]0.383374398454442[/C][C]3.26421856870085[/C][/ROW]
[ROW][C]251[/C][C]1.79149642603608[/C][C]0.261345121769597[/C][C]3.32164773030256[/C][/ROW]
[ROW][C]252[/C][C]1.86068695520784[/C][C]0.242479560328674[/C][C]3.47889435008701[/C][/ROW]
[ROW][C]253[/C][C]1.94854058908656[/C][C]0.243629379526644[/C][C]3.65345179864648[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191792&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191792&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
2422.516672661383961.967219609455533.06612571331239
2432.051539463923751.351164228348482.75191469949903
2442.114806311194711.285253761169032.94435886122039
2452.139095859691571.193049076119453.0851426432637
2462.027078559590680.9729074665231993.08124965265816
2471.929394062201750.773027366035423.08576075836807
2481.76129658204340.5071290426649653.01546412142183
2491.918448851283860.569840862120353.26705684044738
2501.823796483577650.3833743984544423.26421856870085
2511.791496426036080.2613451217695973.32164773030256
2521.860686955207840.2424795603286743.47889435008701
2531.948540589086560.2436293795266443.65345179864648



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=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')