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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 09:31:26 -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/t1353594711okxvwbtfujkt9bo.htm/, Retrieved Thu, 02 May 2024 04:40:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=191804, Retrieved Thu, 02 May 2024 04:40:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
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 P   [Exponential Smoothing] [WS 8 - single exp...] [2012-11-22 14:28:40] [b952eaabb01bdc8fc50f908b86502128]
- R  D      [Exponential Smoothing] [WS 8 - triple exp...] [2012-11-22 14:31:26] [fd3c35a156f52433b5d6e23e16a12a78] [Current]
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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=191804&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=191804&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191804&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
alpha0.871475564297101
beta0.0245475616145864
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.871475564297101 \tabularnewline
beta & 0.0245475616145864 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191804&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]0.871475564297101[/C][/ROW]
[ROW][C]beta[/C][C]0.0245475616145864[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191804&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191804&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
alpha0.871475564297101
beta0.0245475616145864
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
137.528.37563799262463-0.855637992624629
147.387.48057671836509-0.100576718365088
157.527.481363420182550.0386365798174468
167.317.253042394366870.05695760563313
176.926.873697065794350.0463029342056487
187.097.038213364588670.0517866354113323
197.057.47783562792151-0.427835627921507
207.376.673533850676170.696466149323834
217.056.827510187905930.222489812094071
226.796.87531332956818-0.0853133295681756
236.356.50533548317349-0.155335483173493
246.446.230840338112170.209159661887832
256.896.300881021935820.589118978064176
267.166.777516901410780.382483098589218
277.467.243772425069740.216227574930264
287.917.213125805446710.696874194553287
297.867.420970010486780.439029989513224
308.028.02496325470674-0.00496325470673753
318.388.47919020187556-0.0991902018755617
328.58.143620660838260.356379339161744
338.47.944109244971520.455890755028483
348.248.210447343133280.0295526568667217
358.337.959462154922720.37053784507728
368.288.279558310087810.000441689912188181
378.158.30241879680808-0.152418796808078
388.068.17194357653461-0.111943576534612
397.798.26273229268893-0.472732292688932
407.287.71704655946329-0.43704655946329
417.526.934049985992830.58595001400717
427.237.60764103254972-0.377641032549719
437.137.67920122602538-0.549201226025378
447.217.016824905547390.19317509445261
456.996.741320699905660.248679300094341
466.776.77918581932219-0.00918581932218654
476.696.552625940183540.137374059816464
486.396.60143955995901-0.211439559959009
496.856.382177989551630.467822010448368
506.746.77518167831163-0.0351816783116332
516.566.84080227144291-0.280802271442907
526.626.467725234096910.152274765903089
536.716.350206424790870.359793575209127
546.676.6909388932271-0.0209388932270951
556.547.0222206271215-0.482220627121503
566.146.52479129950914-0.384791299509136
576.135.801003333678630.328996666321373
585.865.89407105746484-0.0340710574648408
595.885.681311264234290.198688735765712
605.755.74515329995460.0048467000454
615.535.79192038880108-0.261920388801075
625.865.476681452058770.383318547941227
635.95.855237771199390.0447622288006144
645.955.82757887385250.122421126147502
655.695.73047898106901-0.040478981069012
665.535.66401245468134-0.134012454681343
675.715.76800238768653-0.0580023876865328
685.65.65214891540503-0.0521489154050325
695.735.337092129283430.392907870716575
705.65.462879264962850.137120735037149
715.415.44742441213458-0.0374244121345768
725.135.29550621455222-0.165506214552222
7355.15616767171066-0.156167671710662
745.045.015215082756030.0247849172439656
755.15.028259591769940.0717404082300552
764.965.03318535272674-0.073185352726739
774.94.767752855918510.132247144081495
784.84.83684615781492-0.0368461578149244
794.484.99834793767653-0.518347937676534
804.294.47254796003786-0.182547960037855
814.274.120378119791880.14962188020812
824.184.033910158934140.146089841065856
834.024.01428376781460.00571623218540207
843.823.88907740490428-0.0690774049042755
854.133.805114255043630.324885744956369
864.164.089814788671990.0701852113280079
873.984.13668620706814-0.156686207068141
884.263.920614125064930.33938587493507
894.74.061005476184930.63899452381507
904.964.565654225147230.394345774852769
915.135.065157119326750.0648428806732486
925.355.136775929704410.213224070295587
935.415.203597287745660.206402712254337
945.425.1770393590830.242960640916996
955.515.246408774518240.263591225481764
965.755.365797820422510.384202179577487
975.675.84000790978482-0.170007909784824
985.465.7305867050939-0.270586705093902
995.565.506769426511430.0532305734885741
1005.565.60971546971998-0.0497154697199784
1015.545.465089960246280.0749100397537212
1025.535.467925528494280.0620744715057189
1035.655.67766341246218-0.0276634124621777
1045.585.7173131328136-0.137313132813601
1055.575.487762635998910.0822373640010854
1065.365.3633288528487-0.00332885284869722
1075.235.226501041523160.00349895847684234
1085.115.1358942489417-0.0258942489417038
1095.075.16290938400893-0.0929093840089248
1105.045.0945221502508-0.0545221502508006
1115.345.091982559877810.248017440122195
1125.435.349972968227210.0800270317727874
1135.315.34025264081314-0.0302526408131358
1145.125.25348754210348-0.133487542103483
1154.975.26718350146214-0.29718350146214
11655.04100543498081-0.0410054349808142
1174.644.92312338416449-0.283123384164495
1184.84.485139204051050.314860795948951
1195.14.632264380383740.467735619616261
1205.114.948695238954650.161304761045352
1215.125.13751469503164-0.0175146950316396
1225.365.149604978123040.21039502187696
1235.265.43751218078601-0.177512180786006
1245.275.30881085179009-0.0388108517900916
1255.15.18710744539813-0.0871074453981278
1264.945.04154934644923-0.101549346449232
1274.685.05896932331262-0.378969323312617
1284.414.79107067575949-0.381070675759492
1294.64.346865964567230.253134035432772
1304.534.457598366929510.072401633070486
1314.184.41327977160551-0.233279771605512
13244.08353482819914-0.083534828199137
1333.874.00678157826557-0.136781578265571
1344.093.902600629281440.187399370718556
1354.134.079836262952190.0501637370478134
1363.744.13496082476774-0.394960824767744
1373.813.691434584128170.118565415871825
1384.113.71452329362930.395476706370698
1394.144.098839565436530.0411604345634711
1403.994.18038425635491-0.190384256354912
1414.283.98334686689380.2966531331062
1424.374.118977461772080.251022538227922
1434.244.200794697807480.0392053021925154
1444.194.138478997155490.0515210028445079
1454.014.18810158089307-0.178101580893071
1463.954.10701257457881-0.157012574578812
1474.33.972340969733620.327659030266378
1484.374.219915140543560.150084859456444
1494.44.343375681963140.0566243180368557
1504.294.36594332351766-0.0759433235176603
1514.124.30817222494639-0.188172224946392
1524.074.16732871887135-0.0973287188713456
1533.934.12356567422082-0.193565674220815
1543.793.83177728177716-0.0417772817771564
1553.673.643100033163280.0268999668367198
1563.533.57468139703404-0.0446813970340409
1573.693.501959634280540.188040365719459
1583.693.7323450974838-0.0423450974837958
1593.483.75281374369321-0.272813743693213
1603.313.44938005299127-0.139380052991269
1613.163.29079819968157-0.130798199681566
1623.253.118383391456560.131616608543444
1633.143.20573828753056-0.0657382875305581
1643.193.154348145396890.0356518546031142
1653.433.18915195822390.240848041776095
1663.453.302683600519250.14731639948075
1673.313.29975821532470.0102417846752973
1683.513.215701088879670.294298911120333
1693.533.475297650215950.0547023497840486
1703.833.562606460779060.267393539220938
1714.023.835130736470710.184869263529292
1723.993.967170186700360.0228298132996447
1734.113.976432027381130.133567972618874
1743.964.10368044680997-0.143680446809967
1753.833.94774909926567-0.11774909926567
1763.713.90209773761292-0.19209773761292
1773.813.794934790591620.0150652094083763
1783.733.70586575351610.0241342464839009
1793.993.580478303874450.40952169612555
1804.173.892895897828730.277104102171272
18144.12576486593998-0.125764865939981
1824.14.10955830182926-0.00955830182926132
1834.244.142969642482590.0970303575174096
1844.454.184349045274030.265650954725969
1854.624.434527740303060.185472259696937
1864.494.58386558621576-0.0938655862157551
1874.454.48812621656148-0.0381262165614844
1884.494.52917195638453-0.0391719563845268
1894.364.62628129720942-0.266281297209421
1904.324.29603799780880.0239620021911975
1914.454.217207250433530.232792749566466
1924.134.36166700845498-0.231667008454976
1934.144.099132020901970.040867979098028
1944.34.250648430328860.0493515696711349
1954.424.356813442404190.0631865575958122
1964.674.392116297786470.277883702213532
1974.964.646594845477090.313405154522914
1984.734.87497945774417-0.144979457744171
1994.524.74729026235699-0.227290262356991
2004.364.62693771570353-0.266937715703526
2014.154.489548169305-0.339548169304996
2023.924.13045380209994-0.210453802099938
2033.883.869596342045910.0104036579540883
2044.23.760931160681960.439068839318044
2053.954.11841747254847-0.168417472548465
2063.784.07970698436791-0.299706984367913
2073.693.86427004121852-0.174270041218524
2083.773.700623232236190.069376767763806
2093.663.75270473516795-0.0927047351679482
2103.533.56866556344683-0.0386655634468256
2113.53.50047422939655-0.000474229396550729
2123.143.53343302312537-0.393433023125372
2133.423.225140354670130.194859645329872
2143.33.34008304813898-0.0400830481389849
2152.813.2512910771088-0.441291077108801
2163.152.793500604961570.356499395038425
2173.373.005343722462080.364656277537919
2184.053.386516466738380.663483533261615
21944.03995955546532-0.0399595554653152
2204.24.041280039060120.158719960939876
2214.214.164093537638940.0459064623610601
2224.244.114005496965350.125994503034652
2234.244.213399672265530.0266003277344682
2244.174.23505335372546-0.0650533537254638
2254.124.36249756155908-0.242497561559076
2264.354.073095521469050.276904478530947
2273.984.20009394450946-0.220093944509458
2283.624.08914669228969-0.469146692289693
2294.393.578427608345530.811572391654466
2305.014.427625903210490.582374096789514
2314.074.93872328469529-0.868723284695292
2323.74.2495001752881-0.549500175288101
2333.593.73247897677145-0.142478976771446
2343.443.52480194784716-0.0848019478471627
2353.333.41341118403994-0.0834111840399352
2362.983.30949072349459-0.329490723494593
2373.143.110706976745720.0292930232542794
2382.553.10318475493037-0.553184754930369
2392.492.475846484164980.0141535158350239
2402.532.480242498722750.0497575012772522
2412.432.52865763638119-0.098657636381192

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 7.52 & 8.37563799262463 & -0.855637992624629 \tabularnewline
14 & 7.38 & 7.48057671836509 & -0.100576718365088 \tabularnewline
15 & 7.52 & 7.48136342018255 & 0.0386365798174468 \tabularnewline
16 & 7.31 & 7.25304239436687 & 0.05695760563313 \tabularnewline
17 & 6.92 & 6.87369706579435 & 0.0463029342056487 \tabularnewline
18 & 7.09 & 7.03821336458867 & 0.0517866354113323 \tabularnewline
19 & 7.05 & 7.47783562792151 & -0.427835627921507 \tabularnewline
20 & 7.37 & 6.67353385067617 & 0.696466149323834 \tabularnewline
21 & 7.05 & 6.82751018790593 & 0.222489812094071 \tabularnewline
22 & 6.79 & 6.87531332956818 & -0.0853133295681756 \tabularnewline
23 & 6.35 & 6.50533548317349 & -0.155335483173493 \tabularnewline
24 & 6.44 & 6.23084033811217 & 0.209159661887832 \tabularnewline
25 & 6.89 & 6.30088102193582 & 0.589118978064176 \tabularnewline
26 & 7.16 & 6.77751690141078 & 0.382483098589218 \tabularnewline
27 & 7.46 & 7.24377242506974 & 0.216227574930264 \tabularnewline
28 & 7.91 & 7.21312580544671 & 0.696874194553287 \tabularnewline
29 & 7.86 & 7.42097001048678 & 0.439029989513224 \tabularnewline
30 & 8.02 & 8.02496325470674 & -0.00496325470673753 \tabularnewline
31 & 8.38 & 8.47919020187556 & -0.0991902018755617 \tabularnewline
32 & 8.5 & 8.14362066083826 & 0.356379339161744 \tabularnewline
33 & 8.4 & 7.94410924497152 & 0.455890755028483 \tabularnewline
34 & 8.24 & 8.21044734313328 & 0.0295526568667217 \tabularnewline
35 & 8.33 & 7.95946215492272 & 0.37053784507728 \tabularnewline
36 & 8.28 & 8.27955831008781 & 0.000441689912188181 \tabularnewline
37 & 8.15 & 8.30241879680808 & -0.152418796808078 \tabularnewline
38 & 8.06 & 8.17194357653461 & -0.111943576534612 \tabularnewline
39 & 7.79 & 8.26273229268893 & -0.472732292688932 \tabularnewline
40 & 7.28 & 7.71704655946329 & -0.43704655946329 \tabularnewline
41 & 7.52 & 6.93404998599283 & 0.58595001400717 \tabularnewline
42 & 7.23 & 7.60764103254972 & -0.377641032549719 \tabularnewline
43 & 7.13 & 7.67920122602538 & -0.549201226025378 \tabularnewline
44 & 7.21 & 7.01682490554739 & 0.19317509445261 \tabularnewline
45 & 6.99 & 6.74132069990566 & 0.248679300094341 \tabularnewline
46 & 6.77 & 6.77918581932219 & -0.00918581932218654 \tabularnewline
47 & 6.69 & 6.55262594018354 & 0.137374059816464 \tabularnewline
48 & 6.39 & 6.60143955995901 & -0.211439559959009 \tabularnewline
49 & 6.85 & 6.38217798955163 & 0.467822010448368 \tabularnewline
50 & 6.74 & 6.77518167831163 & -0.0351816783116332 \tabularnewline
51 & 6.56 & 6.84080227144291 & -0.280802271442907 \tabularnewline
52 & 6.62 & 6.46772523409691 & 0.152274765903089 \tabularnewline
53 & 6.71 & 6.35020642479087 & 0.359793575209127 \tabularnewline
54 & 6.67 & 6.6909388932271 & -0.0209388932270951 \tabularnewline
55 & 6.54 & 7.0222206271215 & -0.482220627121503 \tabularnewline
56 & 6.14 & 6.52479129950914 & -0.384791299509136 \tabularnewline
57 & 6.13 & 5.80100333367863 & 0.328996666321373 \tabularnewline
58 & 5.86 & 5.89407105746484 & -0.0340710574648408 \tabularnewline
59 & 5.88 & 5.68131126423429 & 0.198688735765712 \tabularnewline
60 & 5.75 & 5.7451532999546 & 0.0048467000454 \tabularnewline
61 & 5.53 & 5.79192038880108 & -0.261920388801075 \tabularnewline
62 & 5.86 & 5.47668145205877 & 0.383318547941227 \tabularnewline
63 & 5.9 & 5.85523777119939 & 0.0447622288006144 \tabularnewline
64 & 5.95 & 5.8275788738525 & 0.122421126147502 \tabularnewline
65 & 5.69 & 5.73047898106901 & -0.040478981069012 \tabularnewline
66 & 5.53 & 5.66401245468134 & -0.134012454681343 \tabularnewline
67 & 5.71 & 5.76800238768653 & -0.0580023876865328 \tabularnewline
68 & 5.6 & 5.65214891540503 & -0.0521489154050325 \tabularnewline
69 & 5.73 & 5.33709212928343 & 0.392907870716575 \tabularnewline
70 & 5.6 & 5.46287926496285 & 0.137120735037149 \tabularnewline
71 & 5.41 & 5.44742441213458 & -0.0374244121345768 \tabularnewline
72 & 5.13 & 5.29550621455222 & -0.165506214552222 \tabularnewline
73 & 5 & 5.15616767171066 & -0.156167671710662 \tabularnewline
74 & 5.04 & 5.01521508275603 & 0.0247849172439656 \tabularnewline
75 & 5.1 & 5.02825959176994 & 0.0717404082300552 \tabularnewline
76 & 4.96 & 5.03318535272674 & -0.073185352726739 \tabularnewline
77 & 4.9 & 4.76775285591851 & 0.132247144081495 \tabularnewline
78 & 4.8 & 4.83684615781492 & -0.0368461578149244 \tabularnewline
79 & 4.48 & 4.99834793767653 & -0.518347937676534 \tabularnewline
80 & 4.29 & 4.47254796003786 & -0.182547960037855 \tabularnewline
81 & 4.27 & 4.12037811979188 & 0.14962188020812 \tabularnewline
82 & 4.18 & 4.03391015893414 & 0.146089841065856 \tabularnewline
83 & 4.02 & 4.0142837678146 & 0.00571623218540207 \tabularnewline
84 & 3.82 & 3.88907740490428 & -0.0690774049042755 \tabularnewline
85 & 4.13 & 3.80511425504363 & 0.324885744956369 \tabularnewline
86 & 4.16 & 4.08981478867199 & 0.0701852113280079 \tabularnewline
87 & 3.98 & 4.13668620706814 & -0.156686207068141 \tabularnewline
88 & 4.26 & 3.92061412506493 & 0.33938587493507 \tabularnewline
89 & 4.7 & 4.06100547618493 & 0.63899452381507 \tabularnewline
90 & 4.96 & 4.56565422514723 & 0.394345774852769 \tabularnewline
91 & 5.13 & 5.06515711932675 & 0.0648428806732486 \tabularnewline
92 & 5.35 & 5.13677592970441 & 0.213224070295587 \tabularnewline
93 & 5.41 & 5.20359728774566 & 0.206402712254337 \tabularnewline
94 & 5.42 & 5.177039359083 & 0.242960640916996 \tabularnewline
95 & 5.51 & 5.24640877451824 & 0.263591225481764 \tabularnewline
96 & 5.75 & 5.36579782042251 & 0.384202179577487 \tabularnewline
97 & 5.67 & 5.84000790978482 & -0.170007909784824 \tabularnewline
98 & 5.46 & 5.7305867050939 & -0.270586705093902 \tabularnewline
99 & 5.56 & 5.50676942651143 & 0.0532305734885741 \tabularnewline
100 & 5.56 & 5.60971546971998 & -0.0497154697199784 \tabularnewline
101 & 5.54 & 5.46508996024628 & 0.0749100397537212 \tabularnewline
102 & 5.53 & 5.46792552849428 & 0.0620744715057189 \tabularnewline
103 & 5.65 & 5.67766341246218 & -0.0276634124621777 \tabularnewline
104 & 5.58 & 5.7173131328136 & -0.137313132813601 \tabularnewline
105 & 5.57 & 5.48776263599891 & 0.0822373640010854 \tabularnewline
106 & 5.36 & 5.3633288528487 & -0.00332885284869722 \tabularnewline
107 & 5.23 & 5.22650104152316 & 0.00349895847684234 \tabularnewline
108 & 5.11 & 5.1358942489417 & -0.0258942489417038 \tabularnewline
109 & 5.07 & 5.16290938400893 & -0.0929093840089248 \tabularnewline
110 & 5.04 & 5.0945221502508 & -0.0545221502508006 \tabularnewline
111 & 5.34 & 5.09198255987781 & 0.248017440122195 \tabularnewline
112 & 5.43 & 5.34997296822721 & 0.0800270317727874 \tabularnewline
113 & 5.31 & 5.34025264081314 & -0.0302526408131358 \tabularnewline
114 & 5.12 & 5.25348754210348 & -0.133487542103483 \tabularnewline
115 & 4.97 & 5.26718350146214 & -0.29718350146214 \tabularnewline
116 & 5 & 5.04100543498081 & -0.0410054349808142 \tabularnewline
117 & 4.64 & 4.92312338416449 & -0.283123384164495 \tabularnewline
118 & 4.8 & 4.48513920405105 & 0.314860795948951 \tabularnewline
119 & 5.1 & 4.63226438038374 & 0.467735619616261 \tabularnewline
120 & 5.11 & 4.94869523895465 & 0.161304761045352 \tabularnewline
121 & 5.12 & 5.13751469503164 & -0.0175146950316396 \tabularnewline
122 & 5.36 & 5.14960497812304 & 0.21039502187696 \tabularnewline
123 & 5.26 & 5.43751218078601 & -0.177512180786006 \tabularnewline
124 & 5.27 & 5.30881085179009 & -0.0388108517900916 \tabularnewline
125 & 5.1 & 5.18710744539813 & -0.0871074453981278 \tabularnewline
126 & 4.94 & 5.04154934644923 & -0.101549346449232 \tabularnewline
127 & 4.68 & 5.05896932331262 & -0.378969323312617 \tabularnewline
128 & 4.41 & 4.79107067575949 & -0.381070675759492 \tabularnewline
129 & 4.6 & 4.34686596456723 & 0.253134035432772 \tabularnewline
130 & 4.53 & 4.45759836692951 & 0.072401633070486 \tabularnewline
131 & 4.18 & 4.41327977160551 & -0.233279771605512 \tabularnewline
132 & 4 & 4.08353482819914 & -0.083534828199137 \tabularnewline
133 & 3.87 & 4.00678157826557 & -0.136781578265571 \tabularnewline
134 & 4.09 & 3.90260062928144 & 0.187399370718556 \tabularnewline
135 & 4.13 & 4.07983626295219 & 0.0501637370478134 \tabularnewline
136 & 3.74 & 4.13496082476774 & -0.394960824767744 \tabularnewline
137 & 3.81 & 3.69143458412817 & 0.118565415871825 \tabularnewline
138 & 4.11 & 3.7145232936293 & 0.395476706370698 \tabularnewline
139 & 4.14 & 4.09883956543653 & 0.0411604345634711 \tabularnewline
140 & 3.99 & 4.18038425635491 & -0.190384256354912 \tabularnewline
141 & 4.28 & 3.9833468668938 & 0.2966531331062 \tabularnewline
142 & 4.37 & 4.11897746177208 & 0.251022538227922 \tabularnewline
143 & 4.24 & 4.20079469780748 & 0.0392053021925154 \tabularnewline
144 & 4.19 & 4.13847899715549 & 0.0515210028445079 \tabularnewline
145 & 4.01 & 4.18810158089307 & -0.178101580893071 \tabularnewline
146 & 3.95 & 4.10701257457881 & -0.157012574578812 \tabularnewline
147 & 4.3 & 3.97234096973362 & 0.327659030266378 \tabularnewline
148 & 4.37 & 4.21991514054356 & 0.150084859456444 \tabularnewline
149 & 4.4 & 4.34337568196314 & 0.0566243180368557 \tabularnewline
150 & 4.29 & 4.36594332351766 & -0.0759433235176603 \tabularnewline
151 & 4.12 & 4.30817222494639 & -0.188172224946392 \tabularnewline
152 & 4.07 & 4.16732871887135 & -0.0973287188713456 \tabularnewline
153 & 3.93 & 4.12356567422082 & -0.193565674220815 \tabularnewline
154 & 3.79 & 3.83177728177716 & -0.0417772817771564 \tabularnewline
155 & 3.67 & 3.64310003316328 & 0.0268999668367198 \tabularnewline
156 & 3.53 & 3.57468139703404 & -0.0446813970340409 \tabularnewline
157 & 3.69 & 3.50195963428054 & 0.188040365719459 \tabularnewline
158 & 3.69 & 3.7323450974838 & -0.0423450974837958 \tabularnewline
159 & 3.48 & 3.75281374369321 & -0.272813743693213 \tabularnewline
160 & 3.31 & 3.44938005299127 & -0.139380052991269 \tabularnewline
161 & 3.16 & 3.29079819968157 & -0.130798199681566 \tabularnewline
162 & 3.25 & 3.11838339145656 & 0.131616608543444 \tabularnewline
163 & 3.14 & 3.20573828753056 & -0.0657382875305581 \tabularnewline
164 & 3.19 & 3.15434814539689 & 0.0356518546031142 \tabularnewline
165 & 3.43 & 3.1891519582239 & 0.240848041776095 \tabularnewline
166 & 3.45 & 3.30268360051925 & 0.14731639948075 \tabularnewline
167 & 3.31 & 3.2997582153247 & 0.0102417846752973 \tabularnewline
168 & 3.51 & 3.21570108887967 & 0.294298911120333 \tabularnewline
169 & 3.53 & 3.47529765021595 & 0.0547023497840486 \tabularnewline
170 & 3.83 & 3.56260646077906 & 0.267393539220938 \tabularnewline
171 & 4.02 & 3.83513073647071 & 0.184869263529292 \tabularnewline
172 & 3.99 & 3.96717018670036 & 0.0228298132996447 \tabularnewline
173 & 4.11 & 3.97643202738113 & 0.133567972618874 \tabularnewline
174 & 3.96 & 4.10368044680997 & -0.143680446809967 \tabularnewline
175 & 3.83 & 3.94774909926567 & -0.11774909926567 \tabularnewline
176 & 3.71 & 3.90209773761292 & -0.19209773761292 \tabularnewline
177 & 3.81 & 3.79493479059162 & 0.0150652094083763 \tabularnewline
178 & 3.73 & 3.7058657535161 & 0.0241342464839009 \tabularnewline
179 & 3.99 & 3.58047830387445 & 0.40952169612555 \tabularnewline
180 & 4.17 & 3.89289589782873 & 0.277104102171272 \tabularnewline
181 & 4 & 4.12576486593998 & -0.125764865939981 \tabularnewline
182 & 4.1 & 4.10955830182926 & -0.00955830182926132 \tabularnewline
183 & 4.24 & 4.14296964248259 & 0.0970303575174096 \tabularnewline
184 & 4.45 & 4.18434904527403 & 0.265650954725969 \tabularnewline
185 & 4.62 & 4.43452774030306 & 0.185472259696937 \tabularnewline
186 & 4.49 & 4.58386558621576 & -0.0938655862157551 \tabularnewline
187 & 4.45 & 4.48812621656148 & -0.0381262165614844 \tabularnewline
188 & 4.49 & 4.52917195638453 & -0.0391719563845268 \tabularnewline
189 & 4.36 & 4.62628129720942 & -0.266281297209421 \tabularnewline
190 & 4.32 & 4.2960379978088 & 0.0239620021911975 \tabularnewline
191 & 4.45 & 4.21720725043353 & 0.232792749566466 \tabularnewline
192 & 4.13 & 4.36166700845498 & -0.231667008454976 \tabularnewline
193 & 4.14 & 4.09913202090197 & 0.040867979098028 \tabularnewline
194 & 4.3 & 4.25064843032886 & 0.0493515696711349 \tabularnewline
195 & 4.42 & 4.35681344240419 & 0.0631865575958122 \tabularnewline
196 & 4.67 & 4.39211629778647 & 0.277883702213532 \tabularnewline
197 & 4.96 & 4.64659484547709 & 0.313405154522914 \tabularnewline
198 & 4.73 & 4.87497945774417 & -0.144979457744171 \tabularnewline
199 & 4.52 & 4.74729026235699 & -0.227290262356991 \tabularnewline
200 & 4.36 & 4.62693771570353 & -0.266937715703526 \tabularnewline
201 & 4.15 & 4.489548169305 & -0.339548169304996 \tabularnewline
202 & 3.92 & 4.13045380209994 & -0.210453802099938 \tabularnewline
203 & 3.88 & 3.86959634204591 & 0.0104036579540883 \tabularnewline
204 & 4.2 & 3.76093116068196 & 0.439068839318044 \tabularnewline
205 & 3.95 & 4.11841747254847 & -0.168417472548465 \tabularnewline
206 & 3.78 & 4.07970698436791 & -0.299706984367913 \tabularnewline
207 & 3.69 & 3.86427004121852 & -0.174270041218524 \tabularnewline
208 & 3.77 & 3.70062323223619 & 0.069376767763806 \tabularnewline
209 & 3.66 & 3.75270473516795 & -0.0927047351679482 \tabularnewline
210 & 3.53 & 3.56866556344683 & -0.0386655634468256 \tabularnewline
211 & 3.5 & 3.50047422939655 & -0.000474229396550729 \tabularnewline
212 & 3.14 & 3.53343302312537 & -0.393433023125372 \tabularnewline
213 & 3.42 & 3.22514035467013 & 0.194859645329872 \tabularnewline
214 & 3.3 & 3.34008304813898 & -0.0400830481389849 \tabularnewline
215 & 2.81 & 3.2512910771088 & -0.441291077108801 \tabularnewline
216 & 3.15 & 2.79350060496157 & 0.356499395038425 \tabularnewline
217 & 3.37 & 3.00534372246208 & 0.364656277537919 \tabularnewline
218 & 4.05 & 3.38651646673838 & 0.663483533261615 \tabularnewline
219 & 4 & 4.03995955546532 & -0.0399595554653152 \tabularnewline
220 & 4.2 & 4.04128003906012 & 0.158719960939876 \tabularnewline
221 & 4.21 & 4.16409353763894 & 0.0459064623610601 \tabularnewline
222 & 4.24 & 4.11400549696535 & 0.125994503034652 \tabularnewline
223 & 4.24 & 4.21339967226553 & 0.0266003277344682 \tabularnewline
224 & 4.17 & 4.23505335372546 & -0.0650533537254638 \tabularnewline
225 & 4.12 & 4.36249756155908 & -0.242497561559076 \tabularnewline
226 & 4.35 & 4.07309552146905 & 0.276904478530947 \tabularnewline
227 & 3.98 & 4.20009394450946 & -0.220093944509458 \tabularnewline
228 & 3.62 & 4.08914669228969 & -0.469146692289693 \tabularnewline
229 & 4.39 & 3.57842760834553 & 0.811572391654466 \tabularnewline
230 & 5.01 & 4.42762590321049 & 0.582374096789514 \tabularnewline
231 & 4.07 & 4.93872328469529 & -0.868723284695292 \tabularnewline
232 & 3.7 & 4.2495001752881 & -0.549500175288101 \tabularnewline
233 & 3.59 & 3.73247897677145 & -0.142478976771446 \tabularnewline
234 & 3.44 & 3.52480194784716 & -0.0848019478471627 \tabularnewline
235 & 3.33 & 3.41341118403994 & -0.0834111840399352 \tabularnewline
236 & 2.98 & 3.30949072349459 & -0.329490723494593 \tabularnewline
237 & 3.14 & 3.11070697674572 & 0.0292930232542794 \tabularnewline
238 & 2.55 & 3.10318475493037 & -0.553184754930369 \tabularnewline
239 & 2.49 & 2.47584648416498 & 0.0141535158350239 \tabularnewline
240 & 2.53 & 2.48024249872275 & 0.0497575012772522 \tabularnewline
241 & 2.43 & 2.52865763638119 & -0.098657636381192 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191804&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]8.37563799262463[/C][C]-0.855637992624629[/C][/ROW]
[ROW][C]14[/C][C]7.38[/C][C]7.48057671836509[/C][C]-0.100576718365088[/C][/ROW]
[ROW][C]15[/C][C]7.52[/C][C]7.48136342018255[/C][C]0.0386365798174468[/C][/ROW]
[ROW][C]16[/C][C]7.31[/C][C]7.25304239436687[/C][C]0.05695760563313[/C][/ROW]
[ROW][C]17[/C][C]6.92[/C][C]6.87369706579435[/C][C]0.0463029342056487[/C][/ROW]
[ROW][C]18[/C][C]7.09[/C][C]7.03821336458867[/C][C]0.0517866354113323[/C][/ROW]
[ROW][C]19[/C][C]7.05[/C][C]7.47783562792151[/C][C]-0.427835627921507[/C][/ROW]
[ROW][C]20[/C][C]7.37[/C][C]6.67353385067617[/C][C]0.696466149323834[/C][/ROW]
[ROW][C]21[/C][C]7.05[/C][C]6.82751018790593[/C][C]0.222489812094071[/C][/ROW]
[ROW][C]22[/C][C]6.79[/C][C]6.87531332956818[/C][C]-0.0853133295681756[/C][/ROW]
[ROW][C]23[/C][C]6.35[/C][C]6.50533548317349[/C][C]-0.155335483173493[/C][/ROW]
[ROW][C]24[/C][C]6.44[/C][C]6.23084033811217[/C][C]0.209159661887832[/C][/ROW]
[ROW][C]25[/C][C]6.89[/C][C]6.30088102193582[/C][C]0.589118978064176[/C][/ROW]
[ROW][C]26[/C][C]7.16[/C][C]6.77751690141078[/C][C]0.382483098589218[/C][/ROW]
[ROW][C]27[/C][C]7.46[/C][C]7.24377242506974[/C][C]0.216227574930264[/C][/ROW]
[ROW][C]28[/C][C]7.91[/C][C]7.21312580544671[/C][C]0.696874194553287[/C][/ROW]
[ROW][C]29[/C][C]7.86[/C][C]7.42097001048678[/C][C]0.439029989513224[/C][/ROW]
[ROW][C]30[/C][C]8.02[/C][C]8.02496325470674[/C][C]-0.00496325470673753[/C][/ROW]
[ROW][C]31[/C][C]8.38[/C][C]8.47919020187556[/C][C]-0.0991902018755617[/C][/ROW]
[ROW][C]32[/C][C]8.5[/C][C]8.14362066083826[/C][C]0.356379339161744[/C][/ROW]
[ROW][C]33[/C][C]8.4[/C][C]7.94410924497152[/C][C]0.455890755028483[/C][/ROW]
[ROW][C]34[/C][C]8.24[/C][C]8.21044734313328[/C][C]0.0295526568667217[/C][/ROW]
[ROW][C]35[/C][C]8.33[/C][C]7.95946215492272[/C][C]0.37053784507728[/C][/ROW]
[ROW][C]36[/C][C]8.28[/C][C]8.27955831008781[/C][C]0.000441689912188181[/C][/ROW]
[ROW][C]37[/C][C]8.15[/C][C]8.30241879680808[/C][C]-0.152418796808078[/C][/ROW]
[ROW][C]38[/C][C]8.06[/C][C]8.17194357653461[/C][C]-0.111943576534612[/C][/ROW]
[ROW][C]39[/C][C]7.79[/C][C]8.26273229268893[/C][C]-0.472732292688932[/C][/ROW]
[ROW][C]40[/C][C]7.28[/C][C]7.71704655946329[/C][C]-0.43704655946329[/C][/ROW]
[ROW][C]41[/C][C]7.52[/C][C]6.93404998599283[/C][C]0.58595001400717[/C][/ROW]
[ROW][C]42[/C][C]7.23[/C][C]7.60764103254972[/C][C]-0.377641032549719[/C][/ROW]
[ROW][C]43[/C][C]7.13[/C][C]7.67920122602538[/C][C]-0.549201226025378[/C][/ROW]
[ROW][C]44[/C][C]7.21[/C][C]7.01682490554739[/C][C]0.19317509445261[/C][/ROW]
[ROW][C]45[/C][C]6.99[/C][C]6.74132069990566[/C][C]0.248679300094341[/C][/ROW]
[ROW][C]46[/C][C]6.77[/C][C]6.77918581932219[/C][C]-0.00918581932218654[/C][/ROW]
[ROW][C]47[/C][C]6.69[/C][C]6.55262594018354[/C][C]0.137374059816464[/C][/ROW]
[ROW][C]48[/C][C]6.39[/C][C]6.60143955995901[/C][C]-0.211439559959009[/C][/ROW]
[ROW][C]49[/C][C]6.85[/C][C]6.38217798955163[/C][C]0.467822010448368[/C][/ROW]
[ROW][C]50[/C][C]6.74[/C][C]6.77518167831163[/C][C]-0.0351816783116332[/C][/ROW]
[ROW][C]51[/C][C]6.56[/C][C]6.84080227144291[/C][C]-0.280802271442907[/C][/ROW]
[ROW][C]52[/C][C]6.62[/C][C]6.46772523409691[/C][C]0.152274765903089[/C][/ROW]
[ROW][C]53[/C][C]6.71[/C][C]6.35020642479087[/C][C]0.359793575209127[/C][/ROW]
[ROW][C]54[/C][C]6.67[/C][C]6.6909388932271[/C][C]-0.0209388932270951[/C][/ROW]
[ROW][C]55[/C][C]6.54[/C][C]7.0222206271215[/C][C]-0.482220627121503[/C][/ROW]
[ROW][C]56[/C][C]6.14[/C][C]6.52479129950914[/C][C]-0.384791299509136[/C][/ROW]
[ROW][C]57[/C][C]6.13[/C][C]5.80100333367863[/C][C]0.328996666321373[/C][/ROW]
[ROW][C]58[/C][C]5.86[/C][C]5.89407105746484[/C][C]-0.0340710574648408[/C][/ROW]
[ROW][C]59[/C][C]5.88[/C][C]5.68131126423429[/C][C]0.198688735765712[/C][/ROW]
[ROW][C]60[/C][C]5.75[/C][C]5.7451532999546[/C][C]0.0048467000454[/C][/ROW]
[ROW][C]61[/C][C]5.53[/C][C]5.79192038880108[/C][C]-0.261920388801075[/C][/ROW]
[ROW][C]62[/C][C]5.86[/C][C]5.47668145205877[/C][C]0.383318547941227[/C][/ROW]
[ROW][C]63[/C][C]5.9[/C][C]5.85523777119939[/C][C]0.0447622288006144[/C][/ROW]
[ROW][C]64[/C][C]5.95[/C][C]5.8275788738525[/C][C]0.122421126147502[/C][/ROW]
[ROW][C]65[/C][C]5.69[/C][C]5.73047898106901[/C][C]-0.040478981069012[/C][/ROW]
[ROW][C]66[/C][C]5.53[/C][C]5.66401245468134[/C][C]-0.134012454681343[/C][/ROW]
[ROW][C]67[/C][C]5.71[/C][C]5.76800238768653[/C][C]-0.0580023876865328[/C][/ROW]
[ROW][C]68[/C][C]5.6[/C][C]5.65214891540503[/C][C]-0.0521489154050325[/C][/ROW]
[ROW][C]69[/C][C]5.73[/C][C]5.33709212928343[/C][C]0.392907870716575[/C][/ROW]
[ROW][C]70[/C][C]5.6[/C][C]5.46287926496285[/C][C]0.137120735037149[/C][/ROW]
[ROW][C]71[/C][C]5.41[/C][C]5.44742441213458[/C][C]-0.0374244121345768[/C][/ROW]
[ROW][C]72[/C][C]5.13[/C][C]5.29550621455222[/C][C]-0.165506214552222[/C][/ROW]
[ROW][C]73[/C][C]5[/C][C]5.15616767171066[/C][C]-0.156167671710662[/C][/ROW]
[ROW][C]74[/C][C]5.04[/C][C]5.01521508275603[/C][C]0.0247849172439656[/C][/ROW]
[ROW][C]75[/C][C]5.1[/C][C]5.02825959176994[/C][C]0.0717404082300552[/C][/ROW]
[ROW][C]76[/C][C]4.96[/C][C]5.03318535272674[/C][C]-0.073185352726739[/C][/ROW]
[ROW][C]77[/C][C]4.9[/C][C]4.76775285591851[/C][C]0.132247144081495[/C][/ROW]
[ROW][C]78[/C][C]4.8[/C][C]4.83684615781492[/C][C]-0.0368461578149244[/C][/ROW]
[ROW][C]79[/C][C]4.48[/C][C]4.99834793767653[/C][C]-0.518347937676534[/C][/ROW]
[ROW][C]80[/C][C]4.29[/C][C]4.47254796003786[/C][C]-0.182547960037855[/C][/ROW]
[ROW][C]81[/C][C]4.27[/C][C]4.12037811979188[/C][C]0.14962188020812[/C][/ROW]
[ROW][C]82[/C][C]4.18[/C][C]4.03391015893414[/C][C]0.146089841065856[/C][/ROW]
[ROW][C]83[/C][C]4.02[/C][C]4.0142837678146[/C][C]0.00571623218540207[/C][/ROW]
[ROW][C]84[/C][C]3.82[/C][C]3.88907740490428[/C][C]-0.0690774049042755[/C][/ROW]
[ROW][C]85[/C][C]4.13[/C][C]3.80511425504363[/C][C]0.324885744956369[/C][/ROW]
[ROW][C]86[/C][C]4.16[/C][C]4.08981478867199[/C][C]0.0701852113280079[/C][/ROW]
[ROW][C]87[/C][C]3.98[/C][C]4.13668620706814[/C][C]-0.156686207068141[/C][/ROW]
[ROW][C]88[/C][C]4.26[/C][C]3.92061412506493[/C][C]0.33938587493507[/C][/ROW]
[ROW][C]89[/C][C]4.7[/C][C]4.06100547618493[/C][C]0.63899452381507[/C][/ROW]
[ROW][C]90[/C][C]4.96[/C][C]4.56565422514723[/C][C]0.394345774852769[/C][/ROW]
[ROW][C]91[/C][C]5.13[/C][C]5.06515711932675[/C][C]0.0648428806732486[/C][/ROW]
[ROW][C]92[/C][C]5.35[/C][C]5.13677592970441[/C][C]0.213224070295587[/C][/ROW]
[ROW][C]93[/C][C]5.41[/C][C]5.20359728774566[/C][C]0.206402712254337[/C][/ROW]
[ROW][C]94[/C][C]5.42[/C][C]5.177039359083[/C][C]0.242960640916996[/C][/ROW]
[ROW][C]95[/C][C]5.51[/C][C]5.24640877451824[/C][C]0.263591225481764[/C][/ROW]
[ROW][C]96[/C][C]5.75[/C][C]5.36579782042251[/C][C]0.384202179577487[/C][/ROW]
[ROW][C]97[/C][C]5.67[/C][C]5.84000790978482[/C][C]-0.170007909784824[/C][/ROW]
[ROW][C]98[/C][C]5.46[/C][C]5.7305867050939[/C][C]-0.270586705093902[/C][/ROW]
[ROW][C]99[/C][C]5.56[/C][C]5.50676942651143[/C][C]0.0532305734885741[/C][/ROW]
[ROW][C]100[/C][C]5.56[/C][C]5.60971546971998[/C][C]-0.0497154697199784[/C][/ROW]
[ROW][C]101[/C][C]5.54[/C][C]5.46508996024628[/C][C]0.0749100397537212[/C][/ROW]
[ROW][C]102[/C][C]5.53[/C][C]5.46792552849428[/C][C]0.0620744715057189[/C][/ROW]
[ROW][C]103[/C][C]5.65[/C][C]5.67766341246218[/C][C]-0.0276634124621777[/C][/ROW]
[ROW][C]104[/C][C]5.58[/C][C]5.7173131328136[/C][C]-0.137313132813601[/C][/ROW]
[ROW][C]105[/C][C]5.57[/C][C]5.48776263599891[/C][C]0.0822373640010854[/C][/ROW]
[ROW][C]106[/C][C]5.36[/C][C]5.3633288528487[/C][C]-0.00332885284869722[/C][/ROW]
[ROW][C]107[/C][C]5.23[/C][C]5.22650104152316[/C][C]0.00349895847684234[/C][/ROW]
[ROW][C]108[/C][C]5.11[/C][C]5.1358942489417[/C][C]-0.0258942489417038[/C][/ROW]
[ROW][C]109[/C][C]5.07[/C][C]5.16290938400893[/C][C]-0.0929093840089248[/C][/ROW]
[ROW][C]110[/C][C]5.04[/C][C]5.0945221502508[/C][C]-0.0545221502508006[/C][/ROW]
[ROW][C]111[/C][C]5.34[/C][C]5.09198255987781[/C][C]0.248017440122195[/C][/ROW]
[ROW][C]112[/C][C]5.43[/C][C]5.34997296822721[/C][C]0.0800270317727874[/C][/ROW]
[ROW][C]113[/C][C]5.31[/C][C]5.34025264081314[/C][C]-0.0302526408131358[/C][/ROW]
[ROW][C]114[/C][C]5.12[/C][C]5.25348754210348[/C][C]-0.133487542103483[/C][/ROW]
[ROW][C]115[/C][C]4.97[/C][C]5.26718350146214[/C][C]-0.29718350146214[/C][/ROW]
[ROW][C]116[/C][C]5[/C][C]5.04100543498081[/C][C]-0.0410054349808142[/C][/ROW]
[ROW][C]117[/C][C]4.64[/C][C]4.92312338416449[/C][C]-0.283123384164495[/C][/ROW]
[ROW][C]118[/C][C]4.8[/C][C]4.48513920405105[/C][C]0.314860795948951[/C][/ROW]
[ROW][C]119[/C][C]5.1[/C][C]4.63226438038374[/C][C]0.467735619616261[/C][/ROW]
[ROW][C]120[/C][C]5.11[/C][C]4.94869523895465[/C][C]0.161304761045352[/C][/ROW]
[ROW][C]121[/C][C]5.12[/C][C]5.13751469503164[/C][C]-0.0175146950316396[/C][/ROW]
[ROW][C]122[/C][C]5.36[/C][C]5.14960497812304[/C][C]0.21039502187696[/C][/ROW]
[ROW][C]123[/C][C]5.26[/C][C]5.43751218078601[/C][C]-0.177512180786006[/C][/ROW]
[ROW][C]124[/C][C]5.27[/C][C]5.30881085179009[/C][C]-0.0388108517900916[/C][/ROW]
[ROW][C]125[/C][C]5.1[/C][C]5.18710744539813[/C][C]-0.0871074453981278[/C][/ROW]
[ROW][C]126[/C][C]4.94[/C][C]5.04154934644923[/C][C]-0.101549346449232[/C][/ROW]
[ROW][C]127[/C][C]4.68[/C][C]5.05896932331262[/C][C]-0.378969323312617[/C][/ROW]
[ROW][C]128[/C][C]4.41[/C][C]4.79107067575949[/C][C]-0.381070675759492[/C][/ROW]
[ROW][C]129[/C][C]4.6[/C][C]4.34686596456723[/C][C]0.253134035432772[/C][/ROW]
[ROW][C]130[/C][C]4.53[/C][C]4.45759836692951[/C][C]0.072401633070486[/C][/ROW]
[ROW][C]131[/C][C]4.18[/C][C]4.41327977160551[/C][C]-0.233279771605512[/C][/ROW]
[ROW][C]132[/C][C]4[/C][C]4.08353482819914[/C][C]-0.083534828199137[/C][/ROW]
[ROW][C]133[/C][C]3.87[/C][C]4.00678157826557[/C][C]-0.136781578265571[/C][/ROW]
[ROW][C]134[/C][C]4.09[/C][C]3.90260062928144[/C][C]0.187399370718556[/C][/ROW]
[ROW][C]135[/C][C]4.13[/C][C]4.07983626295219[/C][C]0.0501637370478134[/C][/ROW]
[ROW][C]136[/C][C]3.74[/C][C]4.13496082476774[/C][C]-0.394960824767744[/C][/ROW]
[ROW][C]137[/C][C]3.81[/C][C]3.69143458412817[/C][C]0.118565415871825[/C][/ROW]
[ROW][C]138[/C][C]4.11[/C][C]3.7145232936293[/C][C]0.395476706370698[/C][/ROW]
[ROW][C]139[/C][C]4.14[/C][C]4.09883956543653[/C][C]0.0411604345634711[/C][/ROW]
[ROW][C]140[/C][C]3.99[/C][C]4.18038425635491[/C][C]-0.190384256354912[/C][/ROW]
[ROW][C]141[/C][C]4.28[/C][C]3.9833468668938[/C][C]0.2966531331062[/C][/ROW]
[ROW][C]142[/C][C]4.37[/C][C]4.11897746177208[/C][C]0.251022538227922[/C][/ROW]
[ROW][C]143[/C][C]4.24[/C][C]4.20079469780748[/C][C]0.0392053021925154[/C][/ROW]
[ROW][C]144[/C][C]4.19[/C][C]4.13847899715549[/C][C]0.0515210028445079[/C][/ROW]
[ROW][C]145[/C][C]4.01[/C][C]4.18810158089307[/C][C]-0.178101580893071[/C][/ROW]
[ROW][C]146[/C][C]3.95[/C][C]4.10701257457881[/C][C]-0.157012574578812[/C][/ROW]
[ROW][C]147[/C][C]4.3[/C][C]3.97234096973362[/C][C]0.327659030266378[/C][/ROW]
[ROW][C]148[/C][C]4.37[/C][C]4.21991514054356[/C][C]0.150084859456444[/C][/ROW]
[ROW][C]149[/C][C]4.4[/C][C]4.34337568196314[/C][C]0.0566243180368557[/C][/ROW]
[ROW][C]150[/C][C]4.29[/C][C]4.36594332351766[/C][C]-0.0759433235176603[/C][/ROW]
[ROW][C]151[/C][C]4.12[/C][C]4.30817222494639[/C][C]-0.188172224946392[/C][/ROW]
[ROW][C]152[/C][C]4.07[/C][C]4.16732871887135[/C][C]-0.0973287188713456[/C][/ROW]
[ROW][C]153[/C][C]3.93[/C][C]4.12356567422082[/C][C]-0.193565674220815[/C][/ROW]
[ROW][C]154[/C][C]3.79[/C][C]3.83177728177716[/C][C]-0.0417772817771564[/C][/ROW]
[ROW][C]155[/C][C]3.67[/C][C]3.64310003316328[/C][C]0.0268999668367198[/C][/ROW]
[ROW][C]156[/C][C]3.53[/C][C]3.57468139703404[/C][C]-0.0446813970340409[/C][/ROW]
[ROW][C]157[/C][C]3.69[/C][C]3.50195963428054[/C][C]0.188040365719459[/C][/ROW]
[ROW][C]158[/C][C]3.69[/C][C]3.7323450974838[/C][C]-0.0423450974837958[/C][/ROW]
[ROW][C]159[/C][C]3.48[/C][C]3.75281374369321[/C][C]-0.272813743693213[/C][/ROW]
[ROW][C]160[/C][C]3.31[/C][C]3.44938005299127[/C][C]-0.139380052991269[/C][/ROW]
[ROW][C]161[/C][C]3.16[/C][C]3.29079819968157[/C][C]-0.130798199681566[/C][/ROW]
[ROW][C]162[/C][C]3.25[/C][C]3.11838339145656[/C][C]0.131616608543444[/C][/ROW]
[ROW][C]163[/C][C]3.14[/C][C]3.20573828753056[/C][C]-0.0657382875305581[/C][/ROW]
[ROW][C]164[/C][C]3.19[/C][C]3.15434814539689[/C][C]0.0356518546031142[/C][/ROW]
[ROW][C]165[/C][C]3.43[/C][C]3.1891519582239[/C][C]0.240848041776095[/C][/ROW]
[ROW][C]166[/C][C]3.45[/C][C]3.30268360051925[/C][C]0.14731639948075[/C][/ROW]
[ROW][C]167[/C][C]3.31[/C][C]3.2997582153247[/C][C]0.0102417846752973[/C][/ROW]
[ROW][C]168[/C][C]3.51[/C][C]3.21570108887967[/C][C]0.294298911120333[/C][/ROW]
[ROW][C]169[/C][C]3.53[/C][C]3.47529765021595[/C][C]0.0547023497840486[/C][/ROW]
[ROW][C]170[/C][C]3.83[/C][C]3.56260646077906[/C][C]0.267393539220938[/C][/ROW]
[ROW][C]171[/C][C]4.02[/C][C]3.83513073647071[/C][C]0.184869263529292[/C][/ROW]
[ROW][C]172[/C][C]3.99[/C][C]3.96717018670036[/C][C]0.0228298132996447[/C][/ROW]
[ROW][C]173[/C][C]4.11[/C][C]3.97643202738113[/C][C]0.133567972618874[/C][/ROW]
[ROW][C]174[/C][C]3.96[/C][C]4.10368044680997[/C][C]-0.143680446809967[/C][/ROW]
[ROW][C]175[/C][C]3.83[/C][C]3.94774909926567[/C][C]-0.11774909926567[/C][/ROW]
[ROW][C]176[/C][C]3.71[/C][C]3.90209773761292[/C][C]-0.19209773761292[/C][/ROW]
[ROW][C]177[/C][C]3.81[/C][C]3.79493479059162[/C][C]0.0150652094083763[/C][/ROW]
[ROW][C]178[/C][C]3.73[/C][C]3.7058657535161[/C][C]0.0241342464839009[/C][/ROW]
[ROW][C]179[/C][C]3.99[/C][C]3.58047830387445[/C][C]0.40952169612555[/C][/ROW]
[ROW][C]180[/C][C]4.17[/C][C]3.89289589782873[/C][C]0.277104102171272[/C][/ROW]
[ROW][C]181[/C][C]4[/C][C]4.12576486593998[/C][C]-0.125764865939981[/C][/ROW]
[ROW][C]182[/C][C]4.1[/C][C]4.10955830182926[/C][C]-0.00955830182926132[/C][/ROW]
[ROW][C]183[/C][C]4.24[/C][C]4.14296964248259[/C][C]0.0970303575174096[/C][/ROW]
[ROW][C]184[/C][C]4.45[/C][C]4.18434904527403[/C][C]0.265650954725969[/C][/ROW]
[ROW][C]185[/C][C]4.62[/C][C]4.43452774030306[/C][C]0.185472259696937[/C][/ROW]
[ROW][C]186[/C][C]4.49[/C][C]4.58386558621576[/C][C]-0.0938655862157551[/C][/ROW]
[ROW][C]187[/C][C]4.45[/C][C]4.48812621656148[/C][C]-0.0381262165614844[/C][/ROW]
[ROW][C]188[/C][C]4.49[/C][C]4.52917195638453[/C][C]-0.0391719563845268[/C][/ROW]
[ROW][C]189[/C][C]4.36[/C][C]4.62628129720942[/C][C]-0.266281297209421[/C][/ROW]
[ROW][C]190[/C][C]4.32[/C][C]4.2960379978088[/C][C]0.0239620021911975[/C][/ROW]
[ROW][C]191[/C][C]4.45[/C][C]4.21720725043353[/C][C]0.232792749566466[/C][/ROW]
[ROW][C]192[/C][C]4.13[/C][C]4.36166700845498[/C][C]-0.231667008454976[/C][/ROW]
[ROW][C]193[/C][C]4.14[/C][C]4.09913202090197[/C][C]0.040867979098028[/C][/ROW]
[ROW][C]194[/C][C]4.3[/C][C]4.25064843032886[/C][C]0.0493515696711349[/C][/ROW]
[ROW][C]195[/C][C]4.42[/C][C]4.35681344240419[/C][C]0.0631865575958122[/C][/ROW]
[ROW][C]196[/C][C]4.67[/C][C]4.39211629778647[/C][C]0.277883702213532[/C][/ROW]
[ROW][C]197[/C][C]4.96[/C][C]4.64659484547709[/C][C]0.313405154522914[/C][/ROW]
[ROW][C]198[/C][C]4.73[/C][C]4.87497945774417[/C][C]-0.144979457744171[/C][/ROW]
[ROW][C]199[/C][C]4.52[/C][C]4.74729026235699[/C][C]-0.227290262356991[/C][/ROW]
[ROW][C]200[/C][C]4.36[/C][C]4.62693771570353[/C][C]-0.266937715703526[/C][/ROW]
[ROW][C]201[/C][C]4.15[/C][C]4.489548169305[/C][C]-0.339548169304996[/C][/ROW]
[ROW][C]202[/C][C]3.92[/C][C]4.13045380209994[/C][C]-0.210453802099938[/C][/ROW]
[ROW][C]203[/C][C]3.88[/C][C]3.86959634204591[/C][C]0.0104036579540883[/C][/ROW]
[ROW][C]204[/C][C]4.2[/C][C]3.76093116068196[/C][C]0.439068839318044[/C][/ROW]
[ROW][C]205[/C][C]3.95[/C][C]4.11841747254847[/C][C]-0.168417472548465[/C][/ROW]
[ROW][C]206[/C][C]3.78[/C][C]4.07970698436791[/C][C]-0.299706984367913[/C][/ROW]
[ROW][C]207[/C][C]3.69[/C][C]3.86427004121852[/C][C]-0.174270041218524[/C][/ROW]
[ROW][C]208[/C][C]3.77[/C][C]3.70062323223619[/C][C]0.069376767763806[/C][/ROW]
[ROW][C]209[/C][C]3.66[/C][C]3.75270473516795[/C][C]-0.0927047351679482[/C][/ROW]
[ROW][C]210[/C][C]3.53[/C][C]3.56866556344683[/C][C]-0.0386655634468256[/C][/ROW]
[ROW][C]211[/C][C]3.5[/C][C]3.50047422939655[/C][C]-0.000474229396550729[/C][/ROW]
[ROW][C]212[/C][C]3.14[/C][C]3.53343302312537[/C][C]-0.393433023125372[/C][/ROW]
[ROW][C]213[/C][C]3.42[/C][C]3.22514035467013[/C][C]0.194859645329872[/C][/ROW]
[ROW][C]214[/C][C]3.3[/C][C]3.34008304813898[/C][C]-0.0400830481389849[/C][/ROW]
[ROW][C]215[/C][C]2.81[/C][C]3.2512910771088[/C][C]-0.441291077108801[/C][/ROW]
[ROW][C]216[/C][C]3.15[/C][C]2.79350060496157[/C][C]0.356499395038425[/C][/ROW]
[ROW][C]217[/C][C]3.37[/C][C]3.00534372246208[/C][C]0.364656277537919[/C][/ROW]
[ROW][C]218[/C][C]4.05[/C][C]3.38651646673838[/C][C]0.663483533261615[/C][/ROW]
[ROW][C]219[/C][C]4[/C][C]4.03995955546532[/C][C]-0.0399595554653152[/C][/ROW]
[ROW][C]220[/C][C]4.2[/C][C]4.04128003906012[/C][C]0.158719960939876[/C][/ROW]
[ROW][C]221[/C][C]4.21[/C][C]4.16409353763894[/C][C]0.0459064623610601[/C][/ROW]
[ROW][C]222[/C][C]4.24[/C][C]4.11400549696535[/C][C]0.125994503034652[/C][/ROW]
[ROW][C]223[/C][C]4.24[/C][C]4.21339967226553[/C][C]0.0266003277344682[/C][/ROW]
[ROW][C]224[/C][C]4.17[/C][C]4.23505335372546[/C][C]-0.0650533537254638[/C][/ROW]
[ROW][C]225[/C][C]4.12[/C][C]4.36249756155908[/C][C]-0.242497561559076[/C][/ROW]
[ROW][C]226[/C][C]4.35[/C][C]4.07309552146905[/C][C]0.276904478530947[/C][/ROW]
[ROW][C]227[/C][C]3.98[/C][C]4.20009394450946[/C][C]-0.220093944509458[/C][/ROW]
[ROW][C]228[/C][C]3.62[/C][C]4.08914669228969[/C][C]-0.469146692289693[/C][/ROW]
[ROW][C]229[/C][C]4.39[/C][C]3.57842760834553[/C][C]0.811572391654466[/C][/ROW]
[ROW][C]230[/C][C]5.01[/C][C]4.42762590321049[/C][C]0.582374096789514[/C][/ROW]
[ROW][C]231[/C][C]4.07[/C][C]4.93872328469529[/C][C]-0.868723284695292[/C][/ROW]
[ROW][C]232[/C][C]3.7[/C][C]4.2495001752881[/C][C]-0.549500175288101[/C][/ROW]
[ROW][C]233[/C][C]3.59[/C][C]3.73247897677145[/C][C]-0.142478976771446[/C][/ROW]
[ROW][C]234[/C][C]3.44[/C][C]3.52480194784716[/C][C]-0.0848019478471627[/C][/ROW]
[ROW][C]235[/C][C]3.33[/C][C]3.41341118403994[/C][C]-0.0834111840399352[/C][/ROW]
[ROW][C]236[/C][C]2.98[/C][C]3.30949072349459[/C][C]-0.329490723494593[/C][/ROW]
[ROW][C]237[/C][C]3.14[/C][C]3.11070697674572[/C][C]0.0292930232542794[/C][/ROW]
[ROW][C]238[/C][C]2.55[/C][C]3.10318475493037[/C][C]-0.553184754930369[/C][/ROW]
[ROW][C]239[/C][C]2.49[/C][C]2.47584648416498[/C][C]0.0141535158350239[/C][/ROW]
[ROW][C]240[/C][C]2.53[/C][C]2.48024249872275[/C][C]0.0497575012772522[/C][/ROW]
[ROW][C]241[/C][C]2.43[/C][C]2.52865763638119[/C][C]-0.098657636381192[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191804&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191804&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
137.528.37563799262463-0.855637992624629
147.387.48057671836509-0.100576718365088
157.527.481363420182550.0386365798174468
167.317.253042394366870.05695760563313
176.926.873697065794350.0463029342056487
187.097.038213364588670.0517866354113323
197.057.47783562792151-0.427835627921507
207.376.673533850676170.696466149323834
217.056.827510187905930.222489812094071
226.796.87531332956818-0.0853133295681756
236.356.50533548317349-0.155335483173493
246.446.230840338112170.209159661887832
256.896.300881021935820.589118978064176
267.166.777516901410780.382483098589218
277.467.243772425069740.216227574930264
287.917.213125805446710.696874194553287
297.867.420970010486780.439029989513224
308.028.02496325470674-0.00496325470673753
318.388.47919020187556-0.0991902018755617
328.58.143620660838260.356379339161744
338.47.944109244971520.455890755028483
348.248.210447343133280.0295526568667217
358.337.959462154922720.37053784507728
368.288.279558310087810.000441689912188181
378.158.30241879680808-0.152418796808078
388.068.17194357653461-0.111943576534612
397.798.26273229268893-0.472732292688932
407.287.71704655946329-0.43704655946329
417.526.934049985992830.58595001400717
427.237.60764103254972-0.377641032549719
437.137.67920122602538-0.549201226025378
447.217.016824905547390.19317509445261
456.996.741320699905660.248679300094341
466.776.77918581932219-0.00918581932218654
476.696.552625940183540.137374059816464
486.396.60143955995901-0.211439559959009
496.856.382177989551630.467822010448368
506.746.77518167831163-0.0351816783116332
516.566.84080227144291-0.280802271442907
526.626.467725234096910.152274765903089
536.716.350206424790870.359793575209127
546.676.6909388932271-0.0209388932270951
556.547.0222206271215-0.482220627121503
566.146.52479129950914-0.384791299509136
576.135.801003333678630.328996666321373
585.865.89407105746484-0.0340710574648408
595.885.681311264234290.198688735765712
605.755.74515329995460.0048467000454
615.535.79192038880108-0.261920388801075
625.865.476681452058770.383318547941227
635.95.855237771199390.0447622288006144
645.955.82757887385250.122421126147502
655.695.73047898106901-0.040478981069012
665.535.66401245468134-0.134012454681343
675.715.76800238768653-0.0580023876865328
685.65.65214891540503-0.0521489154050325
695.735.337092129283430.392907870716575
705.65.462879264962850.137120735037149
715.415.44742441213458-0.0374244121345768
725.135.29550621455222-0.165506214552222
7355.15616767171066-0.156167671710662
745.045.015215082756030.0247849172439656
755.15.028259591769940.0717404082300552
764.965.03318535272674-0.073185352726739
774.94.767752855918510.132247144081495
784.84.83684615781492-0.0368461578149244
794.484.99834793767653-0.518347937676534
804.294.47254796003786-0.182547960037855
814.274.120378119791880.14962188020812
824.184.033910158934140.146089841065856
834.024.01428376781460.00571623218540207
843.823.88907740490428-0.0690774049042755
854.133.805114255043630.324885744956369
864.164.089814788671990.0701852113280079
873.984.13668620706814-0.156686207068141
884.263.920614125064930.33938587493507
894.74.061005476184930.63899452381507
904.964.565654225147230.394345774852769
915.135.065157119326750.0648428806732486
925.355.136775929704410.213224070295587
935.415.203597287745660.206402712254337
945.425.1770393590830.242960640916996
955.515.246408774518240.263591225481764
965.755.365797820422510.384202179577487
975.675.84000790978482-0.170007909784824
985.465.7305867050939-0.270586705093902
995.565.506769426511430.0532305734885741
1005.565.60971546971998-0.0497154697199784
1015.545.465089960246280.0749100397537212
1025.535.467925528494280.0620744715057189
1035.655.67766341246218-0.0276634124621777
1045.585.7173131328136-0.137313132813601
1055.575.487762635998910.0822373640010854
1065.365.3633288528487-0.00332885284869722
1075.235.226501041523160.00349895847684234
1085.115.1358942489417-0.0258942489417038
1095.075.16290938400893-0.0929093840089248
1105.045.0945221502508-0.0545221502508006
1115.345.091982559877810.248017440122195
1125.435.349972968227210.0800270317727874
1135.315.34025264081314-0.0302526408131358
1145.125.25348754210348-0.133487542103483
1154.975.26718350146214-0.29718350146214
11655.04100543498081-0.0410054349808142
1174.644.92312338416449-0.283123384164495
1184.84.485139204051050.314860795948951
1195.14.632264380383740.467735619616261
1205.114.948695238954650.161304761045352
1215.125.13751469503164-0.0175146950316396
1225.365.149604978123040.21039502187696
1235.265.43751218078601-0.177512180786006
1245.275.30881085179009-0.0388108517900916
1255.15.18710744539813-0.0871074453981278
1264.945.04154934644923-0.101549346449232
1274.685.05896932331262-0.378969323312617
1284.414.79107067575949-0.381070675759492
1294.64.346865964567230.253134035432772
1304.534.457598366929510.072401633070486
1314.184.41327977160551-0.233279771605512
13244.08353482819914-0.083534828199137
1333.874.00678157826557-0.136781578265571
1344.093.902600629281440.187399370718556
1354.134.079836262952190.0501637370478134
1363.744.13496082476774-0.394960824767744
1373.813.691434584128170.118565415871825
1384.113.71452329362930.395476706370698
1394.144.098839565436530.0411604345634711
1403.994.18038425635491-0.190384256354912
1414.283.98334686689380.2966531331062
1424.374.118977461772080.251022538227922
1434.244.200794697807480.0392053021925154
1444.194.138478997155490.0515210028445079
1454.014.18810158089307-0.178101580893071
1463.954.10701257457881-0.157012574578812
1474.33.972340969733620.327659030266378
1484.374.219915140543560.150084859456444
1494.44.343375681963140.0566243180368557
1504.294.36594332351766-0.0759433235176603
1514.124.30817222494639-0.188172224946392
1524.074.16732871887135-0.0973287188713456
1533.934.12356567422082-0.193565674220815
1543.793.83177728177716-0.0417772817771564
1553.673.643100033163280.0268999668367198
1563.533.57468139703404-0.0446813970340409
1573.693.501959634280540.188040365719459
1583.693.7323450974838-0.0423450974837958
1593.483.75281374369321-0.272813743693213
1603.313.44938005299127-0.139380052991269
1613.163.29079819968157-0.130798199681566
1623.253.118383391456560.131616608543444
1633.143.20573828753056-0.0657382875305581
1643.193.154348145396890.0356518546031142
1653.433.18915195822390.240848041776095
1663.453.302683600519250.14731639948075
1673.313.29975821532470.0102417846752973
1683.513.215701088879670.294298911120333
1693.533.475297650215950.0547023497840486
1703.833.562606460779060.267393539220938
1714.023.835130736470710.184869263529292
1723.993.967170186700360.0228298132996447
1734.113.976432027381130.133567972618874
1743.964.10368044680997-0.143680446809967
1753.833.94774909926567-0.11774909926567
1763.713.90209773761292-0.19209773761292
1773.813.794934790591620.0150652094083763
1783.733.70586575351610.0241342464839009
1793.993.580478303874450.40952169612555
1804.173.892895897828730.277104102171272
18144.12576486593998-0.125764865939981
1824.14.10955830182926-0.00955830182926132
1834.244.142969642482590.0970303575174096
1844.454.184349045274030.265650954725969
1854.624.434527740303060.185472259696937
1864.494.58386558621576-0.0938655862157551
1874.454.48812621656148-0.0381262165614844
1884.494.52917195638453-0.0391719563845268
1894.364.62628129720942-0.266281297209421
1904.324.29603799780880.0239620021911975
1914.454.217207250433530.232792749566466
1924.134.36166700845498-0.231667008454976
1934.144.099132020901970.040867979098028
1944.34.250648430328860.0493515696711349
1954.424.356813442404190.0631865575958122
1964.674.392116297786470.277883702213532
1974.964.646594845477090.313405154522914
1984.734.87497945774417-0.144979457744171
1994.524.74729026235699-0.227290262356991
2004.364.62693771570353-0.266937715703526
2014.154.489548169305-0.339548169304996
2023.924.13045380209994-0.210453802099938
2033.883.869596342045910.0104036579540883
2044.23.760931160681960.439068839318044
2053.954.11841747254847-0.168417472548465
2063.784.07970698436791-0.299706984367913
2073.693.86427004121852-0.174270041218524
2083.773.700623232236190.069376767763806
2093.663.75270473516795-0.0927047351679482
2103.533.56866556344683-0.0386655634468256
2113.53.50047422939655-0.000474229396550729
2123.143.53343302312537-0.393433023125372
2133.423.225140354670130.194859645329872
2143.33.34008304813898-0.0400830481389849
2152.813.2512910771088-0.441291077108801
2163.152.793500604961570.356499395038425
2173.373.005343722462080.364656277537919
2184.053.386516466738380.663483533261615
21944.03995955546532-0.0399595554653152
2204.24.041280039060120.158719960939876
2214.214.164093537638940.0459064623610601
2224.244.114005496965350.125994503034652
2234.244.213399672265530.0266003277344682
2244.174.23505335372546-0.0650533537254638
2254.124.36249756155908-0.242497561559076
2264.354.073095521469050.276904478530947
2273.984.20009394450946-0.220093944509458
2283.624.08914669228969-0.469146692289693
2294.393.578427608345530.811572391654466
2305.014.427625903210490.582374096789514
2314.074.93872328469529-0.868723284695292
2323.74.2495001752881-0.549500175288101
2333.593.73247897677145-0.142478976771446
2343.443.52480194784716-0.0848019478471627
2353.333.41341118403994-0.0834111840399352
2362.983.30949072349459-0.329490723494593
2373.143.110706976745720.0292930232542794
2382.553.10318475493037-0.553184754930369
2392.492.475846484164980.0141535158350239
2402.532.480242498722750.0497575012772522
2412.432.52865763638119-0.098657636381192







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2422.45983913324421.944870601863892.97480766462452
2432.315273950912441.638293248495722.99225465332916
2442.335240834970611.498861571179553.17162009876167
2452.31396566906571.344097904231293.28383343390011
2462.237532446191381.164073604831253.31099128755152
2472.187303310124711.008037660497883.36656895975155
2482.119198379813830.8492239476986333.38917281192903
2492.195516530539340.758789472139643.63224358893904
2502.091510095166710.5983662838299773.58465390650345
2512.025201874364710.4559686012442653.59443514748515
2522.014825182944170.331179390231583.69847097565677
2531.99423630771067-12.437292186115416.4257648015368

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
242 & 2.4598391332442 & 1.94487060186389 & 2.97480766462452 \tabularnewline
243 & 2.31527395091244 & 1.63829324849572 & 2.99225465332916 \tabularnewline
244 & 2.33524083497061 & 1.49886157117955 & 3.17162009876167 \tabularnewline
245 & 2.3139656690657 & 1.34409790423129 & 3.28383343390011 \tabularnewline
246 & 2.23753244619138 & 1.16407360483125 & 3.31099128755152 \tabularnewline
247 & 2.18730331012471 & 1.00803766049788 & 3.36656895975155 \tabularnewline
248 & 2.11919837981383 & 0.849223947698633 & 3.38917281192903 \tabularnewline
249 & 2.19551653053934 & 0.75878947213964 & 3.63224358893904 \tabularnewline
250 & 2.09151009516671 & 0.598366283829977 & 3.58465390650345 \tabularnewline
251 & 2.02520187436471 & 0.455968601244265 & 3.59443514748515 \tabularnewline
252 & 2.01482518294417 & 0.33117939023158 & 3.69847097565677 \tabularnewline
253 & 1.99423630771067 & -12.4372921861154 & 16.4257648015368 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191804&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]2.4598391332442[/C][C]1.94487060186389[/C][C]2.97480766462452[/C][/ROW]
[ROW][C]243[/C][C]2.31527395091244[/C][C]1.63829324849572[/C][C]2.99225465332916[/C][/ROW]
[ROW][C]244[/C][C]2.33524083497061[/C][C]1.49886157117955[/C][C]3.17162009876167[/C][/ROW]
[ROW][C]245[/C][C]2.3139656690657[/C][C]1.34409790423129[/C][C]3.28383343390011[/C][/ROW]
[ROW][C]246[/C][C]2.23753244619138[/C][C]1.16407360483125[/C][C]3.31099128755152[/C][/ROW]
[ROW][C]247[/C][C]2.18730331012471[/C][C]1.00803766049788[/C][C]3.36656895975155[/C][/ROW]
[ROW][C]248[/C][C]2.11919837981383[/C][C]0.849223947698633[/C][C]3.38917281192903[/C][/ROW]
[ROW][C]249[/C][C]2.19551653053934[/C][C]0.75878947213964[/C][C]3.63224358893904[/C][/ROW]
[ROW][C]250[/C][C]2.09151009516671[/C][C]0.598366283829977[/C][C]3.58465390650345[/C][/ROW]
[ROW][C]251[/C][C]2.02520187436471[/C][C]0.455968601244265[/C][C]3.59443514748515[/C][/ROW]
[ROW][C]252[/C][C]2.01482518294417[/C][C]0.33117939023158[/C][C]3.69847097565677[/C][/ROW]
[ROW][C]253[/C][C]1.99423630771067[/C][C]-12.4372921861154[/C][C]16.4257648015368[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191804&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191804&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
2422.45983913324421.944870601863892.97480766462452
2432.315273950912441.638293248495722.99225465332916
2442.335240834970611.498861571179553.17162009876167
2452.31396566906571.344097904231293.28383343390011
2462.237532446191381.164073604831253.31099128755152
2472.187303310124711.008037660497883.36656895975155
2482.119198379813830.8492239476986333.38917281192903
2492.195516530539340.758789472139643.63224358893904
2502.091510095166710.5983662838299773.58465390650345
2512.025201874364710.4559686012442653.59443514748515
2522.014825182944170.331179390231583.69847097565677
2531.99423630771067-12.437292186115416.4257648015368



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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')