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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 09:15:25 -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/t13535937589djfo9dtz83w63k.htm/, Retrieved Thu, 02 May 2024 07:06:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=191790, Retrieved Thu, 02 May 2024 07:06:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140
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 - double exp...] [2012-11-22 14:15:25] [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=191790&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=191790&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191790&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
alpha1
beta0.111972116184924
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.111972116184924 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191790&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.111972116184924[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191790&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191790&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
alpha1
beta0.111972116184924
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
38.879.14-0.270000000000001
48.819.08976752863007-0.279767528630069
58.878.99844136640954-0.128441366409536
69.069.044059514806980.015940485193024
79.129.23584440466705-0.115844404667055
88.669.2828730615283-0.622873061528301
98.178.7531286467144-0.583128646714396
108.048.19783449813373-0.157834498133735
117.718.05016143537071-0.340161435370713
127.557.68207283960775-0.132072839607755
137.527.507284364266320.0127156357336773
147.387.47870816090806-0.0987081609080587
157.527.327655599246460.192344400753538
167.317.48919280883516-0.179192808835156
176.927.25912821082476-0.339128210824763
187.096.831155307400710.258844692599292
197.057.030138695394290.0198613046057137
207.376.992362607701180.377637392298819
217.057.35464746566744-0.304647465667436
226.797.00053544424628-0.210535444246279
236.356.71696134502209-0.366961345022091
246.446.23587190666190.2041280933381
256.896.348728561245760.541271438754237
267.166.859335869673530.300664130326468
277.467.163001868607090.296998131392914
287.917.496257377882120.413742622117882
297.867.99258501483656-0.132585014836557
308.027.92773919015090.0922608098491011
318.388.098069828270640.281930171729364
328.58.489638146215550.0103618537844472
338.48.6107983849114-0.210798384911396
348.248.4871948436645-0.247194843664504
358.338.299515913909390.0304840860906133
368.288.39292928153892-0.112929281538918
378.158.33028435090576-0.18028435090576
388.068.18009753061982-0.120097530619818
397.798.07664995596773-0.286649955967733
407.287.77455315379371-0.494553153793711
417.527.20917699059750.310823009402498
427.237.48398050071927-0.253980500719265
437.137.16554176658402-0.0355417665840232
447.217.061562079766660.148437920233341
456.997.15818298781728-0.168182987817275
466.776.91935118276507-0.149351182765073
476.696.682628014776140.0073719852238554
486.396.60345347156214-0.213453471562145
496.856.279552634644310.570447365355688
506.746.8034268333153-0.0634268333153027
516.566.68632479656608-0.126324796566081
526.626.492179941767950.127820058232055
536.716.566492224179070.143507775820931
546.676.67256109352673-0.0025610935267304
556.546.6322743224648-0.0922743224647951
566.146.49194217130888-0.351942171308882
576.136.052534461612710.0774655383872904
585.866.05120844187734-0.191208441877339
595.885.759798428007910.120201571992088
605.755.79325765239262-0.0432576523926196
615.535.65841400151303-0.128414001513026
625.865.424035214015840.435964785984161
635.95.802851113684590.0971488863154075
645.955.853729080070340.0962709199296627
655.695.91450873870193-0.224508738701931
665.535.62937002012747-0.0993700201274681
675.715.458243348688460.251756651311543
685.65.66643307369944-0.0664330736994403
695.735.548994421852640.181005578147356
705.65.69926199947908-0.0992619994790802
715.415.55814742334066-0.14814742334066
725.135.35155904284186-0.221559042841863
7355.04675060795495-0.0467506079549533
745.044.911515843449310.128484156550694
755.14.965902486354520.134097513645478
764.965.04091766873254-0.0809176687325426
774.94.891857146127810.00814285387219105
784.84.83276891870766-0.0327689187076636
794.484.72909971353487-0.249099713534874
804.294.38120749146932-0.0912074914693166
814.274.180994795637580.0890052043624214
824.184.170960896721510.00903910327849022
834.024.08197302424402-0.0619730242440166
843.823.91503377357303-0.0950337735730344
854.133.704392640837020.425607359162977
864.164.062048797506380.097951202493622
873.984.10301660093245-0.123016600932447
884.263.909242171800170.350757828199835
894.74.228517268092130.471482731907872
904.964.72131018732850.238689812671498
915.135.008036790765110.121963209234887
925.355.191693269399850.158306730600152
935.415.42941920903146-0.0194192090314624
945.425.48724479910157-0.067244799101573
955.515.489715256643740.0202847433562603
965.755.581986582283610.168013417716392
975.675.84079940021277-0.170799400212774
985.465.74167462992783-0.281674629927834
995.565.500134925539210.0598650744607907
1005.565.60683814461215-0.0468381446121517
1015.545.60159357844175-0.0615935784417534
1025.535.57469681512023-0.0446968151202283
1035.655.559692018144490.0903079818555099
1045.585.68980399398124-0.109803993981242
1055.575.6075090084096-0.0375090084096046
1065.365.59330904536198-0.233309045361984
1075.235.35718493782772-0.127184937827718
1085.115.2129437711923-0.102943771192301
1095.075.08141693928384-0.0114169392838424
1105.045.04013856043188-0.000138560431875767
1115.345.01012304552710.329876954472901
1125.435.347060066200070.082939933799933
1135.315.44634702610388-0.136347026103883
1145.125.31107996105551-0.19107996105551
1154.975.09968433345559-0.129684333455592
11654.935163304202540.064836695797462
1174.644.97242320623742-0.332423206237419
1184.84.575201076366040.224798923633963
1195.14.760372287561420.339627712438575
1205.115.098401121238220.0115988787617836
1215.125.109699872238550.0103001277614538
1225.365.120853199340970.239146800659029
1235.265.38763097268962-0.127630972689618
1245.275.27333986258682-0.00333986258682017
1255.15.28296589110521-0.182965891105207
1264.945.0924788130885-0.152478813088496
1274.684.91540543771361-0.235405437713613
1284.414.62904659269138-0.219046592691381
1294.64.334519482164630.265480517835369
1304.534.55424589755253-0.0242458975525253
1314.184.48153103309477-0.301531033094768
13244.09776796522372-0.0977679652237189
1333.873.90682067926253-0.0368206792625254
1344.093.772697789886130.317302210113866
1354.134.028226789822740.101773210177263
1363.744.07962255153722-0.339622551537218
1373.813.651594295737470.158405704262527
1384.113.739331317659510.370668682340489
1394.144.080835874424650.0591641255753466
1403.994.11746060676755-0.127460606767555
1414.283.953188572897580.326811427102423
1424.374.279782339983650.0902176600163491
1434.244.37988420229293-0.139884202292933
1444.194.23422107214135-0.0442210721413536
1454.014.17926954511372-0.16926954511372
1463.953.98031607594168-0.030316075941677
1474.33.916921520764070.383078479235935
1484.374.309815628749020.0601843712509851
1494.44.386554600159250.0134453998407533
1504.294.41806011003237-0.128060110032369
1514.124.29372094851317-0.17372094851317
1524.074.1042690462825-0.0342690462824979
1533.934.05043186865061-0.120431868650608
1543.793.89694685746169-0.106946857461694
1553.673.74497179151238-0.0749717915123811
1563.533.61657704136256-0.0865770413625651
1573.693.466882826828170.223117173171831
1583.693.651865728865420.0381342711345831
1593.483.65613570390353-0.176135703903526
1603.313.42641341640173-0.116413416401727
1613.163.24337835981491-0.0833783598149087
1623.253.084042308422410.165957691577594
1633.143.19262494234551-0.0526249423455134
1643.193.076732416186980.113267583813023
1653.433.139415227241670.290584772758326
1663.453.411952619178540.0380473808214608
1673.313.43621286492441-0.126212864924412
1683.513.282080543349060.227919456650936
1693.533.507601167229990.0223988327700133
1703.833.530109211935320.299890788064683
1714.023.863688618099280.156311381900715
1723.994.0711911343145-0.0811911343144969
1734.114.032099991189850.0779000088101514
1743.964.16082262002715-0.200822620027146
1753.833.9883360862849-0.158336086284905
1763.713.84060685963515-0.130606859635146
1773.813.705982533173530.104017466826469
1783.733.81762958905429-0.087629589054286
1793.993.727817518527460.262182481472538
1804.174.017174645804560.152825354195443
18144.21428682412053-0.214286824120531
1824.14.020292674953210.0797073250467912
1834.244.129217672814140.110782327185863
1844.454.281622204425030.168377795574971
1854.624.510475822514110.109524177485889
1864.494.69273947644062-0.202739476440619
1874.454.54003830822934-0.0900383082293397
1884.494.489956528319194.34716808097591e-05
1894.364.52996139593528-0.169961395935284
1904.324.38093045876267-0.0609304587626669
1914.454.334107946354890.115892053645107
1924.134.47708462485055-0.347084624850552
1934.144.118220824910790.0217791750892138
1944.34.130659485234290.169340514765714
1954.424.309620901028450.110379098971552
1964.674.441980282322880.228019717677122
1974.964.717512132643070.242487867356926
1984.735.0346640123002-0.304664012300198
1994.524.77055013811756-0.250550138117556
2004.364.53249550894211-0.172495508942107
2014.154.35318082177347-0.203180821773465
2023.924.1204302351913-0.200430235191298
2033.883.867987637609490.0120123623905135
2044.23.829332687246730.370667312753268
2053.954.1908370906563-0.240837090656295
2063.783.91387005195969-0.133870051959689
2073.693.72888033894798-0.038880338947977
2083.773.634526825117980.135473174882015
2093.663.72969604319581-0.0696960431958145
2103.533.61189202974946-0.0818920297494636
2113.53.472722405879740.027277594120263
2123.143.44577673581782-0.305776735817816
2133.423.051538267628180.368461732371823
2143.33.37279570753501-0.0727957075350134
2152.813.24464461811314-0.434644618113138
2163.152.705976540434620.444023459565377
2173.373.095694786837910.274305213162091
2184.053.346409322036220.703590677963775
21944.10519185917581-0.105191859175814
2204.24.043413304098470.156586695901529
2214.214.26094664780497-0.0509466478049712
2224.244.26524204383772-0.0252420438377197
2234.244.29241563877238-0.052415638772378
2244.174.28654654877785-0.11654654877785
2254.124.20349658507715-0.0834965850771452
2264.354.144147295751840.205852704248157
2273.984.3971970586689-0.417197058668898
2283.623.98048262114362-0.360482621143615
2294.393.580118619206280.809881380793723
2305.014.440802751272520.569197248727482
2314.075.12453697173917-1.05453697173917
2323.74.0664582354183-0.366458235418295
2333.593.65542513130512-0.0654251313051155
2343.443.5380993409012-0.098099340901205
2353.333.37711495010415-0.047114950104151
2362.983.26183938943704-0.281839389437042
2373.142.880281236577510.25971876342249
2382.553.06936249613086-0.519362496130858
2392.492.4212083783720.0687916216279993
2402.532.368911121821480.161088878178519
2412.432.426948584404980.00305141559501543

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 8.87 & 9.14 & -0.270000000000001 \tabularnewline
4 & 8.81 & 9.08976752863007 & -0.279767528630069 \tabularnewline
5 & 8.87 & 8.99844136640954 & -0.128441366409536 \tabularnewline
6 & 9.06 & 9.04405951480698 & 0.015940485193024 \tabularnewline
7 & 9.12 & 9.23584440466705 & -0.115844404667055 \tabularnewline
8 & 8.66 & 9.2828730615283 & -0.622873061528301 \tabularnewline
9 & 8.17 & 8.7531286467144 & -0.583128646714396 \tabularnewline
10 & 8.04 & 8.19783449813373 & -0.157834498133735 \tabularnewline
11 & 7.71 & 8.05016143537071 & -0.340161435370713 \tabularnewline
12 & 7.55 & 7.68207283960775 & -0.132072839607755 \tabularnewline
13 & 7.52 & 7.50728436426632 & 0.0127156357336773 \tabularnewline
14 & 7.38 & 7.47870816090806 & -0.0987081609080587 \tabularnewline
15 & 7.52 & 7.32765559924646 & 0.192344400753538 \tabularnewline
16 & 7.31 & 7.48919280883516 & -0.179192808835156 \tabularnewline
17 & 6.92 & 7.25912821082476 & -0.339128210824763 \tabularnewline
18 & 7.09 & 6.83115530740071 & 0.258844692599292 \tabularnewline
19 & 7.05 & 7.03013869539429 & 0.0198613046057137 \tabularnewline
20 & 7.37 & 6.99236260770118 & 0.377637392298819 \tabularnewline
21 & 7.05 & 7.35464746566744 & -0.304647465667436 \tabularnewline
22 & 6.79 & 7.00053544424628 & -0.210535444246279 \tabularnewline
23 & 6.35 & 6.71696134502209 & -0.366961345022091 \tabularnewline
24 & 6.44 & 6.2358719066619 & 0.2041280933381 \tabularnewline
25 & 6.89 & 6.34872856124576 & 0.541271438754237 \tabularnewline
26 & 7.16 & 6.85933586967353 & 0.300664130326468 \tabularnewline
27 & 7.46 & 7.16300186860709 & 0.296998131392914 \tabularnewline
28 & 7.91 & 7.49625737788212 & 0.413742622117882 \tabularnewline
29 & 7.86 & 7.99258501483656 & -0.132585014836557 \tabularnewline
30 & 8.02 & 7.9277391901509 & 0.0922608098491011 \tabularnewline
31 & 8.38 & 8.09806982827064 & 0.281930171729364 \tabularnewline
32 & 8.5 & 8.48963814621555 & 0.0103618537844472 \tabularnewline
33 & 8.4 & 8.6107983849114 & -0.210798384911396 \tabularnewline
34 & 8.24 & 8.4871948436645 & -0.247194843664504 \tabularnewline
35 & 8.33 & 8.29951591390939 & 0.0304840860906133 \tabularnewline
36 & 8.28 & 8.39292928153892 & -0.112929281538918 \tabularnewline
37 & 8.15 & 8.33028435090576 & -0.18028435090576 \tabularnewline
38 & 8.06 & 8.18009753061982 & -0.120097530619818 \tabularnewline
39 & 7.79 & 8.07664995596773 & -0.286649955967733 \tabularnewline
40 & 7.28 & 7.77455315379371 & -0.494553153793711 \tabularnewline
41 & 7.52 & 7.2091769905975 & 0.310823009402498 \tabularnewline
42 & 7.23 & 7.48398050071927 & -0.253980500719265 \tabularnewline
43 & 7.13 & 7.16554176658402 & -0.0355417665840232 \tabularnewline
44 & 7.21 & 7.06156207976666 & 0.148437920233341 \tabularnewline
45 & 6.99 & 7.15818298781728 & -0.168182987817275 \tabularnewline
46 & 6.77 & 6.91935118276507 & -0.149351182765073 \tabularnewline
47 & 6.69 & 6.68262801477614 & 0.0073719852238554 \tabularnewline
48 & 6.39 & 6.60345347156214 & -0.213453471562145 \tabularnewline
49 & 6.85 & 6.27955263464431 & 0.570447365355688 \tabularnewline
50 & 6.74 & 6.8034268333153 & -0.0634268333153027 \tabularnewline
51 & 6.56 & 6.68632479656608 & -0.126324796566081 \tabularnewline
52 & 6.62 & 6.49217994176795 & 0.127820058232055 \tabularnewline
53 & 6.71 & 6.56649222417907 & 0.143507775820931 \tabularnewline
54 & 6.67 & 6.67256109352673 & -0.0025610935267304 \tabularnewline
55 & 6.54 & 6.6322743224648 & -0.0922743224647951 \tabularnewline
56 & 6.14 & 6.49194217130888 & -0.351942171308882 \tabularnewline
57 & 6.13 & 6.05253446161271 & 0.0774655383872904 \tabularnewline
58 & 5.86 & 6.05120844187734 & -0.191208441877339 \tabularnewline
59 & 5.88 & 5.75979842800791 & 0.120201571992088 \tabularnewline
60 & 5.75 & 5.79325765239262 & -0.0432576523926196 \tabularnewline
61 & 5.53 & 5.65841400151303 & -0.128414001513026 \tabularnewline
62 & 5.86 & 5.42403521401584 & 0.435964785984161 \tabularnewline
63 & 5.9 & 5.80285111368459 & 0.0971488863154075 \tabularnewline
64 & 5.95 & 5.85372908007034 & 0.0962709199296627 \tabularnewline
65 & 5.69 & 5.91450873870193 & -0.224508738701931 \tabularnewline
66 & 5.53 & 5.62937002012747 & -0.0993700201274681 \tabularnewline
67 & 5.71 & 5.45824334868846 & 0.251756651311543 \tabularnewline
68 & 5.6 & 5.66643307369944 & -0.0664330736994403 \tabularnewline
69 & 5.73 & 5.54899442185264 & 0.181005578147356 \tabularnewline
70 & 5.6 & 5.69926199947908 & -0.0992619994790802 \tabularnewline
71 & 5.41 & 5.55814742334066 & -0.14814742334066 \tabularnewline
72 & 5.13 & 5.35155904284186 & -0.221559042841863 \tabularnewline
73 & 5 & 5.04675060795495 & -0.0467506079549533 \tabularnewline
74 & 5.04 & 4.91151584344931 & 0.128484156550694 \tabularnewline
75 & 5.1 & 4.96590248635452 & 0.134097513645478 \tabularnewline
76 & 4.96 & 5.04091766873254 & -0.0809176687325426 \tabularnewline
77 & 4.9 & 4.89185714612781 & 0.00814285387219105 \tabularnewline
78 & 4.8 & 4.83276891870766 & -0.0327689187076636 \tabularnewline
79 & 4.48 & 4.72909971353487 & -0.249099713534874 \tabularnewline
80 & 4.29 & 4.38120749146932 & -0.0912074914693166 \tabularnewline
81 & 4.27 & 4.18099479563758 & 0.0890052043624214 \tabularnewline
82 & 4.18 & 4.17096089672151 & 0.00903910327849022 \tabularnewline
83 & 4.02 & 4.08197302424402 & -0.0619730242440166 \tabularnewline
84 & 3.82 & 3.91503377357303 & -0.0950337735730344 \tabularnewline
85 & 4.13 & 3.70439264083702 & 0.425607359162977 \tabularnewline
86 & 4.16 & 4.06204879750638 & 0.097951202493622 \tabularnewline
87 & 3.98 & 4.10301660093245 & -0.123016600932447 \tabularnewline
88 & 4.26 & 3.90924217180017 & 0.350757828199835 \tabularnewline
89 & 4.7 & 4.22851726809213 & 0.471482731907872 \tabularnewline
90 & 4.96 & 4.7213101873285 & 0.238689812671498 \tabularnewline
91 & 5.13 & 5.00803679076511 & 0.121963209234887 \tabularnewline
92 & 5.35 & 5.19169326939985 & 0.158306730600152 \tabularnewline
93 & 5.41 & 5.42941920903146 & -0.0194192090314624 \tabularnewline
94 & 5.42 & 5.48724479910157 & -0.067244799101573 \tabularnewline
95 & 5.51 & 5.48971525664374 & 0.0202847433562603 \tabularnewline
96 & 5.75 & 5.58198658228361 & 0.168013417716392 \tabularnewline
97 & 5.67 & 5.84079940021277 & -0.170799400212774 \tabularnewline
98 & 5.46 & 5.74167462992783 & -0.281674629927834 \tabularnewline
99 & 5.56 & 5.50013492553921 & 0.0598650744607907 \tabularnewline
100 & 5.56 & 5.60683814461215 & -0.0468381446121517 \tabularnewline
101 & 5.54 & 5.60159357844175 & -0.0615935784417534 \tabularnewline
102 & 5.53 & 5.57469681512023 & -0.0446968151202283 \tabularnewline
103 & 5.65 & 5.55969201814449 & 0.0903079818555099 \tabularnewline
104 & 5.58 & 5.68980399398124 & -0.109803993981242 \tabularnewline
105 & 5.57 & 5.6075090084096 & -0.0375090084096046 \tabularnewline
106 & 5.36 & 5.59330904536198 & -0.233309045361984 \tabularnewline
107 & 5.23 & 5.35718493782772 & -0.127184937827718 \tabularnewline
108 & 5.11 & 5.2129437711923 & -0.102943771192301 \tabularnewline
109 & 5.07 & 5.08141693928384 & -0.0114169392838424 \tabularnewline
110 & 5.04 & 5.04013856043188 & -0.000138560431875767 \tabularnewline
111 & 5.34 & 5.0101230455271 & 0.329876954472901 \tabularnewline
112 & 5.43 & 5.34706006620007 & 0.082939933799933 \tabularnewline
113 & 5.31 & 5.44634702610388 & -0.136347026103883 \tabularnewline
114 & 5.12 & 5.31107996105551 & -0.19107996105551 \tabularnewline
115 & 4.97 & 5.09968433345559 & -0.129684333455592 \tabularnewline
116 & 5 & 4.93516330420254 & 0.064836695797462 \tabularnewline
117 & 4.64 & 4.97242320623742 & -0.332423206237419 \tabularnewline
118 & 4.8 & 4.57520107636604 & 0.224798923633963 \tabularnewline
119 & 5.1 & 4.76037228756142 & 0.339627712438575 \tabularnewline
120 & 5.11 & 5.09840112123822 & 0.0115988787617836 \tabularnewline
121 & 5.12 & 5.10969987223855 & 0.0103001277614538 \tabularnewline
122 & 5.36 & 5.12085319934097 & 0.239146800659029 \tabularnewline
123 & 5.26 & 5.38763097268962 & -0.127630972689618 \tabularnewline
124 & 5.27 & 5.27333986258682 & -0.00333986258682017 \tabularnewline
125 & 5.1 & 5.28296589110521 & -0.182965891105207 \tabularnewline
126 & 4.94 & 5.0924788130885 & -0.152478813088496 \tabularnewline
127 & 4.68 & 4.91540543771361 & -0.235405437713613 \tabularnewline
128 & 4.41 & 4.62904659269138 & -0.219046592691381 \tabularnewline
129 & 4.6 & 4.33451948216463 & 0.265480517835369 \tabularnewline
130 & 4.53 & 4.55424589755253 & -0.0242458975525253 \tabularnewline
131 & 4.18 & 4.48153103309477 & -0.301531033094768 \tabularnewline
132 & 4 & 4.09776796522372 & -0.0977679652237189 \tabularnewline
133 & 3.87 & 3.90682067926253 & -0.0368206792625254 \tabularnewline
134 & 4.09 & 3.77269778988613 & 0.317302210113866 \tabularnewline
135 & 4.13 & 4.02822678982274 & 0.101773210177263 \tabularnewline
136 & 3.74 & 4.07962255153722 & -0.339622551537218 \tabularnewline
137 & 3.81 & 3.65159429573747 & 0.158405704262527 \tabularnewline
138 & 4.11 & 3.73933131765951 & 0.370668682340489 \tabularnewline
139 & 4.14 & 4.08083587442465 & 0.0591641255753466 \tabularnewline
140 & 3.99 & 4.11746060676755 & -0.127460606767555 \tabularnewline
141 & 4.28 & 3.95318857289758 & 0.326811427102423 \tabularnewline
142 & 4.37 & 4.27978233998365 & 0.0902176600163491 \tabularnewline
143 & 4.24 & 4.37988420229293 & -0.139884202292933 \tabularnewline
144 & 4.19 & 4.23422107214135 & -0.0442210721413536 \tabularnewline
145 & 4.01 & 4.17926954511372 & -0.16926954511372 \tabularnewline
146 & 3.95 & 3.98031607594168 & -0.030316075941677 \tabularnewline
147 & 4.3 & 3.91692152076407 & 0.383078479235935 \tabularnewline
148 & 4.37 & 4.30981562874902 & 0.0601843712509851 \tabularnewline
149 & 4.4 & 4.38655460015925 & 0.0134453998407533 \tabularnewline
150 & 4.29 & 4.41806011003237 & -0.128060110032369 \tabularnewline
151 & 4.12 & 4.29372094851317 & -0.17372094851317 \tabularnewline
152 & 4.07 & 4.1042690462825 & -0.0342690462824979 \tabularnewline
153 & 3.93 & 4.05043186865061 & -0.120431868650608 \tabularnewline
154 & 3.79 & 3.89694685746169 & -0.106946857461694 \tabularnewline
155 & 3.67 & 3.74497179151238 & -0.0749717915123811 \tabularnewline
156 & 3.53 & 3.61657704136256 & -0.0865770413625651 \tabularnewline
157 & 3.69 & 3.46688282682817 & 0.223117173171831 \tabularnewline
158 & 3.69 & 3.65186572886542 & 0.0381342711345831 \tabularnewline
159 & 3.48 & 3.65613570390353 & -0.176135703903526 \tabularnewline
160 & 3.31 & 3.42641341640173 & -0.116413416401727 \tabularnewline
161 & 3.16 & 3.24337835981491 & -0.0833783598149087 \tabularnewline
162 & 3.25 & 3.08404230842241 & 0.165957691577594 \tabularnewline
163 & 3.14 & 3.19262494234551 & -0.0526249423455134 \tabularnewline
164 & 3.19 & 3.07673241618698 & 0.113267583813023 \tabularnewline
165 & 3.43 & 3.13941522724167 & 0.290584772758326 \tabularnewline
166 & 3.45 & 3.41195261917854 & 0.0380473808214608 \tabularnewline
167 & 3.31 & 3.43621286492441 & -0.126212864924412 \tabularnewline
168 & 3.51 & 3.28208054334906 & 0.227919456650936 \tabularnewline
169 & 3.53 & 3.50760116722999 & 0.0223988327700133 \tabularnewline
170 & 3.83 & 3.53010921193532 & 0.299890788064683 \tabularnewline
171 & 4.02 & 3.86368861809928 & 0.156311381900715 \tabularnewline
172 & 3.99 & 4.0711911343145 & -0.0811911343144969 \tabularnewline
173 & 4.11 & 4.03209999118985 & 0.0779000088101514 \tabularnewline
174 & 3.96 & 4.16082262002715 & -0.200822620027146 \tabularnewline
175 & 3.83 & 3.9883360862849 & -0.158336086284905 \tabularnewline
176 & 3.71 & 3.84060685963515 & -0.130606859635146 \tabularnewline
177 & 3.81 & 3.70598253317353 & 0.104017466826469 \tabularnewline
178 & 3.73 & 3.81762958905429 & -0.087629589054286 \tabularnewline
179 & 3.99 & 3.72781751852746 & 0.262182481472538 \tabularnewline
180 & 4.17 & 4.01717464580456 & 0.152825354195443 \tabularnewline
181 & 4 & 4.21428682412053 & -0.214286824120531 \tabularnewline
182 & 4.1 & 4.02029267495321 & 0.0797073250467912 \tabularnewline
183 & 4.24 & 4.12921767281414 & 0.110782327185863 \tabularnewline
184 & 4.45 & 4.28162220442503 & 0.168377795574971 \tabularnewline
185 & 4.62 & 4.51047582251411 & 0.109524177485889 \tabularnewline
186 & 4.49 & 4.69273947644062 & -0.202739476440619 \tabularnewline
187 & 4.45 & 4.54003830822934 & -0.0900383082293397 \tabularnewline
188 & 4.49 & 4.48995652831919 & 4.34716808097591e-05 \tabularnewline
189 & 4.36 & 4.52996139593528 & -0.169961395935284 \tabularnewline
190 & 4.32 & 4.38093045876267 & -0.0609304587626669 \tabularnewline
191 & 4.45 & 4.33410794635489 & 0.115892053645107 \tabularnewline
192 & 4.13 & 4.47708462485055 & -0.347084624850552 \tabularnewline
193 & 4.14 & 4.11822082491079 & 0.0217791750892138 \tabularnewline
194 & 4.3 & 4.13065948523429 & 0.169340514765714 \tabularnewline
195 & 4.42 & 4.30962090102845 & 0.110379098971552 \tabularnewline
196 & 4.67 & 4.44198028232288 & 0.228019717677122 \tabularnewline
197 & 4.96 & 4.71751213264307 & 0.242487867356926 \tabularnewline
198 & 4.73 & 5.0346640123002 & -0.304664012300198 \tabularnewline
199 & 4.52 & 4.77055013811756 & -0.250550138117556 \tabularnewline
200 & 4.36 & 4.53249550894211 & -0.172495508942107 \tabularnewline
201 & 4.15 & 4.35318082177347 & -0.203180821773465 \tabularnewline
202 & 3.92 & 4.1204302351913 & -0.200430235191298 \tabularnewline
203 & 3.88 & 3.86798763760949 & 0.0120123623905135 \tabularnewline
204 & 4.2 & 3.82933268724673 & 0.370667312753268 \tabularnewline
205 & 3.95 & 4.1908370906563 & -0.240837090656295 \tabularnewline
206 & 3.78 & 3.91387005195969 & -0.133870051959689 \tabularnewline
207 & 3.69 & 3.72888033894798 & -0.038880338947977 \tabularnewline
208 & 3.77 & 3.63452682511798 & 0.135473174882015 \tabularnewline
209 & 3.66 & 3.72969604319581 & -0.0696960431958145 \tabularnewline
210 & 3.53 & 3.61189202974946 & -0.0818920297494636 \tabularnewline
211 & 3.5 & 3.47272240587974 & 0.027277594120263 \tabularnewline
212 & 3.14 & 3.44577673581782 & -0.305776735817816 \tabularnewline
213 & 3.42 & 3.05153826762818 & 0.368461732371823 \tabularnewline
214 & 3.3 & 3.37279570753501 & -0.0727957075350134 \tabularnewline
215 & 2.81 & 3.24464461811314 & -0.434644618113138 \tabularnewline
216 & 3.15 & 2.70597654043462 & 0.444023459565377 \tabularnewline
217 & 3.37 & 3.09569478683791 & 0.274305213162091 \tabularnewline
218 & 4.05 & 3.34640932203622 & 0.703590677963775 \tabularnewline
219 & 4 & 4.10519185917581 & -0.105191859175814 \tabularnewline
220 & 4.2 & 4.04341330409847 & 0.156586695901529 \tabularnewline
221 & 4.21 & 4.26094664780497 & -0.0509466478049712 \tabularnewline
222 & 4.24 & 4.26524204383772 & -0.0252420438377197 \tabularnewline
223 & 4.24 & 4.29241563877238 & -0.052415638772378 \tabularnewline
224 & 4.17 & 4.28654654877785 & -0.11654654877785 \tabularnewline
225 & 4.12 & 4.20349658507715 & -0.0834965850771452 \tabularnewline
226 & 4.35 & 4.14414729575184 & 0.205852704248157 \tabularnewline
227 & 3.98 & 4.3971970586689 & -0.417197058668898 \tabularnewline
228 & 3.62 & 3.98048262114362 & -0.360482621143615 \tabularnewline
229 & 4.39 & 3.58011861920628 & 0.809881380793723 \tabularnewline
230 & 5.01 & 4.44080275127252 & 0.569197248727482 \tabularnewline
231 & 4.07 & 5.12453697173917 & -1.05453697173917 \tabularnewline
232 & 3.7 & 4.0664582354183 & -0.366458235418295 \tabularnewline
233 & 3.59 & 3.65542513130512 & -0.0654251313051155 \tabularnewline
234 & 3.44 & 3.5380993409012 & -0.098099340901205 \tabularnewline
235 & 3.33 & 3.37711495010415 & -0.047114950104151 \tabularnewline
236 & 2.98 & 3.26183938943704 & -0.281839389437042 \tabularnewline
237 & 3.14 & 2.88028123657751 & 0.25971876342249 \tabularnewline
238 & 2.55 & 3.06936249613086 & -0.519362496130858 \tabularnewline
239 & 2.49 & 2.421208378372 & 0.0687916216279993 \tabularnewline
240 & 2.53 & 2.36891112182148 & 0.161088878178519 \tabularnewline
241 & 2.43 & 2.42694858440498 & 0.00305141559501543 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191790&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]8.87[/C][C]9.14[/C][C]-0.270000000000001[/C][/ROW]
[ROW][C]4[/C][C]8.81[/C][C]9.08976752863007[/C][C]-0.279767528630069[/C][/ROW]
[ROW][C]5[/C][C]8.87[/C][C]8.99844136640954[/C][C]-0.128441366409536[/C][/ROW]
[ROW][C]6[/C][C]9.06[/C][C]9.04405951480698[/C][C]0.015940485193024[/C][/ROW]
[ROW][C]7[/C][C]9.12[/C][C]9.23584440466705[/C][C]-0.115844404667055[/C][/ROW]
[ROW][C]8[/C][C]8.66[/C][C]9.2828730615283[/C][C]-0.622873061528301[/C][/ROW]
[ROW][C]9[/C][C]8.17[/C][C]8.7531286467144[/C][C]-0.583128646714396[/C][/ROW]
[ROW][C]10[/C][C]8.04[/C][C]8.19783449813373[/C][C]-0.157834498133735[/C][/ROW]
[ROW][C]11[/C][C]7.71[/C][C]8.05016143537071[/C][C]-0.340161435370713[/C][/ROW]
[ROW][C]12[/C][C]7.55[/C][C]7.68207283960775[/C][C]-0.132072839607755[/C][/ROW]
[ROW][C]13[/C][C]7.52[/C][C]7.50728436426632[/C][C]0.0127156357336773[/C][/ROW]
[ROW][C]14[/C][C]7.38[/C][C]7.47870816090806[/C][C]-0.0987081609080587[/C][/ROW]
[ROW][C]15[/C][C]7.52[/C][C]7.32765559924646[/C][C]0.192344400753538[/C][/ROW]
[ROW][C]16[/C][C]7.31[/C][C]7.48919280883516[/C][C]-0.179192808835156[/C][/ROW]
[ROW][C]17[/C][C]6.92[/C][C]7.25912821082476[/C][C]-0.339128210824763[/C][/ROW]
[ROW][C]18[/C][C]7.09[/C][C]6.83115530740071[/C][C]0.258844692599292[/C][/ROW]
[ROW][C]19[/C][C]7.05[/C][C]7.03013869539429[/C][C]0.0198613046057137[/C][/ROW]
[ROW][C]20[/C][C]7.37[/C][C]6.99236260770118[/C][C]0.377637392298819[/C][/ROW]
[ROW][C]21[/C][C]7.05[/C][C]7.35464746566744[/C][C]-0.304647465667436[/C][/ROW]
[ROW][C]22[/C][C]6.79[/C][C]7.00053544424628[/C][C]-0.210535444246279[/C][/ROW]
[ROW][C]23[/C][C]6.35[/C][C]6.71696134502209[/C][C]-0.366961345022091[/C][/ROW]
[ROW][C]24[/C][C]6.44[/C][C]6.2358719066619[/C][C]0.2041280933381[/C][/ROW]
[ROW][C]25[/C][C]6.89[/C][C]6.34872856124576[/C][C]0.541271438754237[/C][/ROW]
[ROW][C]26[/C][C]7.16[/C][C]6.85933586967353[/C][C]0.300664130326468[/C][/ROW]
[ROW][C]27[/C][C]7.46[/C][C]7.16300186860709[/C][C]0.296998131392914[/C][/ROW]
[ROW][C]28[/C][C]7.91[/C][C]7.49625737788212[/C][C]0.413742622117882[/C][/ROW]
[ROW][C]29[/C][C]7.86[/C][C]7.99258501483656[/C][C]-0.132585014836557[/C][/ROW]
[ROW][C]30[/C][C]8.02[/C][C]7.9277391901509[/C][C]0.0922608098491011[/C][/ROW]
[ROW][C]31[/C][C]8.38[/C][C]8.09806982827064[/C][C]0.281930171729364[/C][/ROW]
[ROW][C]32[/C][C]8.5[/C][C]8.48963814621555[/C][C]0.0103618537844472[/C][/ROW]
[ROW][C]33[/C][C]8.4[/C][C]8.6107983849114[/C][C]-0.210798384911396[/C][/ROW]
[ROW][C]34[/C][C]8.24[/C][C]8.4871948436645[/C][C]-0.247194843664504[/C][/ROW]
[ROW][C]35[/C][C]8.33[/C][C]8.29951591390939[/C][C]0.0304840860906133[/C][/ROW]
[ROW][C]36[/C][C]8.28[/C][C]8.39292928153892[/C][C]-0.112929281538918[/C][/ROW]
[ROW][C]37[/C][C]8.15[/C][C]8.33028435090576[/C][C]-0.18028435090576[/C][/ROW]
[ROW][C]38[/C][C]8.06[/C][C]8.18009753061982[/C][C]-0.120097530619818[/C][/ROW]
[ROW][C]39[/C][C]7.79[/C][C]8.07664995596773[/C][C]-0.286649955967733[/C][/ROW]
[ROW][C]40[/C][C]7.28[/C][C]7.77455315379371[/C][C]-0.494553153793711[/C][/ROW]
[ROW][C]41[/C][C]7.52[/C][C]7.2091769905975[/C][C]0.310823009402498[/C][/ROW]
[ROW][C]42[/C][C]7.23[/C][C]7.48398050071927[/C][C]-0.253980500719265[/C][/ROW]
[ROW][C]43[/C][C]7.13[/C][C]7.16554176658402[/C][C]-0.0355417665840232[/C][/ROW]
[ROW][C]44[/C][C]7.21[/C][C]7.06156207976666[/C][C]0.148437920233341[/C][/ROW]
[ROW][C]45[/C][C]6.99[/C][C]7.15818298781728[/C][C]-0.168182987817275[/C][/ROW]
[ROW][C]46[/C][C]6.77[/C][C]6.91935118276507[/C][C]-0.149351182765073[/C][/ROW]
[ROW][C]47[/C][C]6.69[/C][C]6.68262801477614[/C][C]0.0073719852238554[/C][/ROW]
[ROW][C]48[/C][C]6.39[/C][C]6.60345347156214[/C][C]-0.213453471562145[/C][/ROW]
[ROW][C]49[/C][C]6.85[/C][C]6.27955263464431[/C][C]0.570447365355688[/C][/ROW]
[ROW][C]50[/C][C]6.74[/C][C]6.8034268333153[/C][C]-0.0634268333153027[/C][/ROW]
[ROW][C]51[/C][C]6.56[/C][C]6.68632479656608[/C][C]-0.126324796566081[/C][/ROW]
[ROW][C]52[/C][C]6.62[/C][C]6.49217994176795[/C][C]0.127820058232055[/C][/ROW]
[ROW][C]53[/C][C]6.71[/C][C]6.56649222417907[/C][C]0.143507775820931[/C][/ROW]
[ROW][C]54[/C][C]6.67[/C][C]6.67256109352673[/C][C]-0.0025610935267304[/C][/ROW]
[ROW][C]55[/C][C]6.54[/C][C]6.6322743224648[/C][C]-0.0922743224647951[/C][/ROW]
[ROW][C]56[/C][C]6.14[/C][C]6.49194217130888[/C][C]-0.351942171308882[/C][/ROW]
[ROW][C]57[/C][C]6.13[/C][C]6.05253446161271[/C][C]0.0774655383872904[/C][/ROW]
[ROW][C]58[/C][C]5.86[/C][C]6.05120844187734[/C][C]-0.191208441877339[/C][/ROW]
[ROW][C]59[/C][C]5.88[/C][C]5.75979842800791[/C][C]0.120201571992088[/C][/ROW]
[ROW][C]60[/C][C]5.75[/C][C]5.79325765239262[/C][C]-0.0432576523926196[/C][/ROW]
[ROW][C]61[/C][C]5.53[/C][C]5.65841400151303[/C][C]-0.128414001513026[/C][/ROW]
[ROW][C]62[/C][C]5.86[/C][C]5.42403521401584[/C][C]0.435964785984161[/C][/ROW]
[ROW][C]63[/C][C]5.9[/C][C]5.80285111368459[/C][C]0.0971488863154075[/C][/ROW]
[ROW][C]64[/C][C]5.95[/C][C]5.85372908007034[/C][C]0.0962709199296627[/C][/ROW]
[ROW][C]65[/C][C]5.69[/C][C]5.91450873870193[/C][C]-0.224508738701931[/C][/ROW]
[ROW][C]66[/C][C]5.53[/C][C]5.62937002012747[/C][C]-0.0993700201274681[/C][/ROW]
[ROW][C]67[/C][C]5.71[/C][C]5.45824334868846[/C][C]0.251756651311543[/C][/ROW]
[ROW][C]68[/C][C]5.6[/C][C]5.66643307369944[/C][C]-0.0664330736994403[/C][/ROW]
[ROW][C]69[/C][C]5.73[/C][C]5.54899442185264[/C][C]0.181005578147356[/C][/ROW]
[ROW][C]70[/C][C]5.6[/C][C]5.69926199947908[/C][C]-0.0992619994790802[/C][/ROW]
[ROW][C]71[/C][C]5.41[/C][C]5.55814742334066[/C][C]-0.14814742334066[/C][/ROW]
[ROW][C]72[/C][C]5.13[/C][C]5.35155904284186[/C][C]-0.221559042841863[/C][/ROW]
[ROW][C]73[/C][C]5[/C][C]5.04675060795495[/C][C]-0.0467506079549533[/C][/ROW]
[ROW][C]74[/C][C]5.04[/C][C]4.91151584344931[/C][C]0.128484156550694[/C][/ROW]
[ROW][C]75[/C][C]5.1[/C][C]4.96590248635452[/C][C]0.134097513645478[/C][/ROW]
[ROW][C]76[/C][C]4.96[/C][C]5.04091766873254[/C][C]-0.0809176687325426[/C][/ROW]
[ROW][C]77[/C][C]4.9[/C][C]4.89185714612781[/C][C]0.00814285387219105[/C][/ROW]
[ROW][C]78[/C][C]4.8[/C][C]4.83276891870766[/C][C]-0.0327689187076636[/C][/ROW]
[ROW][C]79[/C][C]4.48[/C][C]4.72909971353487[/C][C]-0.249099713534874[/C][/ROW]
[ROW][C]80[/C][C]4.29[/C][C]4.38120749146932[/C][C]-0.0912074914693166[/C][/ROW]
[ROW][C]81[/C][C]4.27[/C][C]4.18099479563758[/C][C]0.0890052043624214[/C][/ROW]
[ROW][C]82[/C][C]4.18[/C][C]4.17096089672151[/C][C]0.00903910327849022[/C][/ROW]
[ROW][C]83[/C][C]4.02[/C][C]4.08197302424402[/C][C]-0.0619730242440166[/C][/ROW]
[ROW][C]84[/C][C]3.82[/C][C]3.91503377357303[/C][C]-0.0950337735730344[/C][/ROW]
[ROW][C]85[/C][C]4.13[/C][C]3.70439264083702[/C][C]0.425607359162977[/C][/ROW]
[ROW][C]86[/C][C]4.16[/C][C]4.06204879750638[/C][C]0.097951202493622[/C][/ROW]
[ROW][C]87[/C][C]3.98[/C][C]4.10301660093245[/C][C]-0.123016600932447[/C][/ROW]
[ROW][C]88[/C][C]4.26[/C][C]3.90924217180017[/C][C]0.350757828199835[/C][/ROW]
[ROW][C]89[/C][C]4.7[/C][C]4.22851726809213[/C][C]0.471482731907872[/C][/ROW]
[ROW][C]90[/C][C]4.96[/C][C]4.7213101873285[/C][C]0.238689812671498[/C][/ROW]
[ROW][C]91[/C][C]5.13[/C][C]5.00803679076511[/C][C]0.121963209234887[/C][/ROW]
[ROW][C]92[/C][C]5.35[/C][C]5.19169326939985[/C][C]0.158306730600152[/C][/ROW]
[ROW][C]93[/C][C]5.41[/C][C]5.42941920903146[/C][C]-0.0194192090314624[/C][/ROW]
[ROW][C]94[/C][C]5.42[/C][C]5.48724479910157[/C][C]-0.067244799101573[/C][/ROW]
[ROW][C]95[/C][C]5.51[/C][C]5.48971525664374[/C][C]0.0202847433562603[/C][/ROW]
[ROW][C]96[/C][C]5.75[/C][C]5.58198658228361[/C][C]0.168013417716392[/C][/ROW]
[ROW][C]97[/C][C]5.67[/C][C]5.84079940021277[/C][C]-0.170799400212774[/C][/ROW]
[ROW][C]98[/C][C]5.46[/C][C]5.74167462992783[/C][C]-0.281674629927834[/C][/ROW]
[ROW][C]99[/C][C]5.56[/C][C]5.50013492553921[/C][C]0.0598650744607907[/C][/ROW]
[ROW][C]100[/C][C]5.56[/C][C]5.60683814461215[/C][C]-0.0468381446121517[/C][/ROW]
[ROW][C]101[/C][C]5.54[/C][C]5.60159357844175[/C][C]-0.0615935784417534[/C][/ROW]
[ROW][C]102[/C][C]5.53[/C][C]5.57469681512023[/C][C]-0.0446968151202283[/C][/ROW]
[ROW][C]103[/C][C]5.65[/C][C]5.55969201814449[/C][C]0.0903079818555099[/C][/ROW]
[ROW][C]104[/C][C]5.58[/C][C]5.68980399398124[/C][C]-0.109803993981242[/C][/ROW]
[ROW][C]105[/C][C]5.57[/C][C]5.6075090084096[/C][C]-0.0375090084096046[/C][/ROW]
[ROW][C]106[/C][C]5.36[/C][C]5.59330904536198[/C][C]-0.233309045361984[/C][/ROW]
[ROW][C]107[/C][C]5.23[/C][C]5.35718493782772[/C][C]-0.127184937827718[/C][/ROW]
[ROW][C]108[/C][C]5.11[/C][C]5.2129437711923[/C][C]-0.102943771192301[/C][/ROW]
[ROW][C]109[/C][C]5.07[/C][C]5.08141693928384[/C][C]-0.0114169392838424[/C][/ROW]
[ROW][C]110[/C][C]5.04[/C][C]5.04013856043188[/C][C]-0.000138560431875767[/C][/ROW]
[ROW][C]111[/C][C]5.34[/C][C]5.0101230455271[/C][C]0.329876954472901[/C][/ROW]
[ROW][C]112[/C][C]5.43[/C][C]5.34706006620007[/C][C]0.082939933799933[/C][/ROW]
[ROW][C]113[/C][C]5.31[/C][C]5.44634702610388[/C][C]-0.136347026103883[/C][/ROW]
[ROW][C]114[/C][C]5.12[/C][C]5.31107996105551[/C][C]-0.19107996105551[/C][/ROW]
[ROW][C]115[/C][C]4.97[/C][C]5.09968433345559[/C][C]-0.129684333455592[/C][/ROW]
[ROW][C]116[/C][C]5[/C][C]4.93516330420254[/C][C]0.064836695797462[/C][/ROW]
[ROW][C]117[/C][C]4.64[/C][C]4.97242320623742[/C][C]-0.332423206237419[/C][/ROW]
[ROW][C]118[/C][C]4.8[/C][C]4.57520107636604[/C][C]0.224798923633963[/C][/ROW]
[ROW][C]119[/C][C]5.1[/C][C]4.76037228756142[/C][C]0.339627712438575[/C][/ROW]
[ROW][C]120[/C][C]5.11[/C][C]5.09840112123822[/C][C]0.0115988787617836[/C][/ROW]
[ROW][C]121[/C][C]5.12[/C][C]5.10969987223855[/C][C]0.0103001277614538[/C][/ROW]
[ROW][C]122[/C][C]5.36[/C][C]5.12085319934097[/C][C]0.239146800659029[/C][/ROW]
[ROW][C]123[/C][C]5.26[/C][C]5.38763097268962[/C][C]-0.127630972689618[/C][/ROW]
[ROW][C]124[/C][C]5.27[/C][C]5.27333986258682[/C][C]-0.00333986258682017[/C][/ROW]
[ROW][C]125[/C][C]5.1[/C][C]5.28296589110521[/C][C]-0.182965891105207[/C][/ROW]
[ROW][C]126[/C][C]4.94[/C][C]5.0924788130885[/C][C]-0.152478813088496[/C][/ROW]
[ROW][C]127[/C][C]4.68[/C][C]4.91540543771361[/C][C]-0.235405437713613[/C][/ROW]
[ROW][C]128[/C][C]4.41[/C][C]4.62904659269138[/C][C]-0.219046592691381[/C][/ROW]
[ROW][C]129[/C][C]4.6[/C][C]4.33451948216463[/C][C]0.265480517835369[/C][/ROW]
[ROW][C]130[/C][C]4.53[/C][C]4.55424589755253[/C][C]-0.0242458975525253[/C][/ROW]
[ROW][C]131[/C][C]4.18[/C][C]4.48153103309477[/C][C]-0.301531033094768[/C][/ROW]
[ROW][C]132[/C][C]4[/C][C]4.09776796522372[/C][C]-0.0977679652237189[/C][/ROW]
[ROW][C]133[/C][C]3.87[/C][C]3.90682067926253[/C][C]-0.0368206792625254[/C][/ROW]
[ROW][C]134[/C][C]4.09[/C][C]3.77269778988613[/C][C]0.317302210113866[/C][/ROW]
[ROW][C]135[/C][C]4.13[/C][C]4.02822678982274[/C][C]0.101773210177263[/C][/ROW]
[ROW][C]136[/C][C]3.74[/C][C]4.07962255153722[/C][C]-0.339622551537218[/C][/ROW]
[ROW][C]137[/C][C]3.81[/C][C]3.65159429573747[/C][C]0.158405704262527[/C][/ROW]
[ROW][C]138[/C][C]4.11[/C][C]3.73933131765951[/C][C]0.370668682340489[/C][/ROW]
[ROW][C]139[/C][C]4.14[/C][C]4.08083587442465[/C][C]0.0591641255753466[/C][/ROW]
[ROW][C]140[/C][C]3.99[/C][C]4.11746060676755[/C][C]-0.127460606767555[/C][/ROW]
[ROW][C]141[/C][C]4.28[/C][C]3.95318857289758[/C][C]0.326811427102423[/C][/ROW]
[ROW][C]142[/C][C]4.37[/C][C]4.27978233998365[/C][C]0.0902176600163491[/C][/ROW]
[ROW][C]143[/C][C]4.24[/C][C]4.37988420229293[/C][C]-0.139884202292933[/C][/ROW]
[ROW][C]144[/C][C]4.19[/C][C]4.23422107214135[/C][C]-0.0442210721413536[/C][/ROW]
[ROW][C]145[/C][C]4.01[/C][C]4.17926954511372[/C][C]-0.16926954511372[/C][/ROW]
[ROW][C]146[/C][C]3.95[/C][C]3.98031607594168[/C][C]-0.030316075941677[/C][/ROW]
[ROW][C]147[/C][C]4.3[/C][C]3.91692152076407[/C][C]0.383078479235935[/C][/ROW]
[ROW][C]148[/C][C]4.37[/C][C]4.30981562874902[/C][C]0.0601843712509851[/C][/ROW]
[ROW][C]149[/C][C]4.4[/C][C]4.38655460015925[/C][C]0.0134453998407533[/C][/ROW]
[ROW][C]150[/C][C]4.29[/C][C]4.41806011003237[/C][C]-0.128060110032369[/C][/ROW]
[ROW][C]151[/C][C]4.12[/C][C]4.29372094851317[/C][C]-0.17372094851317[/C][/ROW]
[ROW][C]152[/C][C]4.07[/C][C]4.1042690462825[/C][C]-0.0342690462824979[/C][/ROW]
[ROW][C]153[/C][C]3.93[/C][C]4.05043186865061[/C][C]-0.120431868650608[/C][/ROW]
[ROW][C]154[/C][C]3.79[/C][C]3.89694685746169[/C][C]-0.106946857461694[/C][/ROW]
[ROW][C]155[/C][C]3.67[/C][C]3.74497179151238[/C][C]-0.0749717915123811[/C][/ROW]
[ROW][C]156[/C][C]3.53[/C][C]3.61657704136256[/C][C]-0.0865770413625651[/C][/ROW]
[ROW][C]157[/C][C]3.69[/C][C]3.46688282682817[/C][C]0.223117173171831[/C][/ROW]
[ROW][C]158[/C][C]3.69[/C][C]3.65186572886542[/C][C]0.0381342711345831[/C][/ROW]
[ROW][C]159[/C][C]3.48[/C][C]3.65613570390353[/C][C]-0.176135703903526[/C][/ROW]
[ROW][C]160[/C][C]3.31[/C][C]3.42641341640173[/C][C]-0.116413416401727[/C][/ROW]
[ROW][C]161[/C][C]3.16[/C][C]3.24337835981491[/C][C]-0.0833783598149087[/C][/ROW]
[ROW][C]162[/C][C]3.25[/C][C]3.08404230842241[/C][C]0.165957691577594[/C][/ROW]
[ROW][C]163[/C][C]3.14[/C][C]3.19262494234551[/C][C]-0.0526249423455134[/C][/ROW]
[ROW][C]164[/C][C]3.19[/C][C]3.07673241618698[/C][C]0.113267583813023[/C][/ROW]
[ROW][C]165[/C][C]3.43[/C][C]3.13941522724167[/C][C]0.290584772758326[/C][/ROW]
[ROW][C]166[/C][C]3.45[/C][C]3.41195261917854[/C][C]0.0380473808214608[/C][/ROW]
[ROW][C]167[/C][C]3.31[/C][C]3.43621286492441[/C][C]-0.126212864924412[/C][/ROW]
[ROW][C]168[/C][C]3.51[/C][C]3.28208054334906[/C][C]0.227919456650936[/C][/ROW]
[ROW][C]169[/C][C]3.53[/C][C]3.50760116722999[/C][C]0.0223988327700133[/C][/ROW]
[ROW][C]170[/C][C]3.83[/C][C]3.53010921193532[/C][C]0.299890788064683[/C][/ROW]
[ROW][C]171[/C][C]4.02[/C][C]3.86368861809928[/C][C]0.156311381900715[/C][/ROW]
[ROW][C]172[/C][C]3.99[/C][C]4.0711911343145[/C][C]-0.0811911343144969[/C][/ROW]
[ROW][C]173[/C][C]4.11[/C][C]4.03209999118985[/C][C]0.0779000088101514[/C][/ROW]
[ROW][C]174[/C][C]3.96[/C][C]4.16082262002715[/C][C]-0.200822620027146[/C][/ROW]
[ROW][C]175[/C][C]3.83[/C][C]3.9883360862849[/C][C]-0.158336086284905[/C][/ROW]
[ROW][C]176[/C][C]3.71[/C][C]3.84060685963515[/C][C]-0.130606859635146[/C][/ROW]
[ROW][C]177[/C][C]3.81[/C][C]3.70598253317353[/C][C]0.104017466826469[/C][/ROW]
[ROW][C]178[/C][C]3.73[/C][C]3.81762958905429[/C][C]-0.087629589054286[/C][/ROW]
[ROW][C]179[/C][C]3.99[/C][C]3.72781751852746[/C][C]0.262182481472538[/C][/ROW]
[ROW][C]180[/C][C]4.17[/C][C]4.01717464580456[/C][C]0.152825354195443[/C][/ROW]
[ROW][C]181[/C][C]4[/C][C]4.21428682412053[/C][C]-0.214286824120531[/C][/ROW]
[ROW][C]182[/C][C]4.1[/C][C]4.02029267495321[/C][C]0.0797073250467912[/C][/ROW]
[ROW][C]183[/C][C]4.24[/C][C]4.12921767281414[/C][C]0.110782327185863[/C][/ROW]
[ROW][C]184[/C][C]4.45[/C][C]4.28162220442503[/C][C]0.168377795574971[/C][/ROW]
[ROW][C]185[/C][C]4.62[/C][C]4.51047582251411[/C][C]0.109524177485889[/C][/ROW]
[ROW][C]186[/C][C]4.49[/C][C]4.69273947644062[/C][C]-0.202739476440619[/C][/ROW]
[ROW][C]187[/C][C]4.45[/C][C]4.54003830822934[/C][C]-0.0900383082293397[/C][/ROW]
[ROW][C]188[/C][C]4.49[/C][C]4.48995652831919[/C][C]4.34716808097591e-05[/C][/ROW]
[ROW][C]189[/C][C]4.36[/C][C]4.52996139593528[/C][C]-0.169961395935284[/C][/ROW]
[ROW][C]190[/C][C]4.32[/C][C]4.38093045876267[/C][C]-0.0609304587626669[/C][/ROW]
[ROW][C]191[/C][C]4.45[/C][C]4.33410794635489[/C][C]0.115892053645107[/C][/ROW]
[ROW][C]192[/C][C]4.13[/C][C]4.47708462485055[/C][C]-0.347084624850552[/C][/ROW]
[ROW][C]193[/C][C]4.14[/C][C]4.11822082491079[/C][C]0.0217791750892138[/C][/ROW]
[ROW][C]194[/C][C]4.3[/C][C]4.13065948523429[/C][C]0.169340514765714[/C][/ROW]
[ROW][C]195[/C][C]4.42[/C][C]4.30962090102845[/C][C]0.110379098971552[/C][/ROW]
[ROW][C]196[/C][C]4.67[/C][C]4.44198028232288[/C][C]0.228019717677122[/C][/ROW]
[ROW][C]197[/C][C]4.96[/C][C]4.71751213264307[/C][C]0.242487867356926[/C][/ROW]
[ROW][C]198[/C][C]4.73[/C][C]5.0346640123002[/C][C]-0.304664012300198[/C][/ROW]
[ROW][C]199[/C][C]4.52[/C][C]4.77055013811756[/C][C]-0.250550138117556[/C][/ROW]
[ROW][C]200[/C][C]4.36[/C][C]4.53249550894211[/C][C]-0.172495508942107[/C][/ROW]
[ROW][C]201[/C][C]4.15[/C][C]4.35318082177347[/C][C]-0.203180821773465[/C][/ROW]
[ROW][C]202[/C][C]3.92[/C][C]4.1204302351913[/C][C]-0.200430235191298[/C][/ROW]
[ROW][C]203[/C][C]3.88[/C][C]3.86798763760949[/C][C]0.0120123623905135[/C][/ROW]
[ROW][C]204[/C][C]4.2[/C][C]3.82933268724673[/C][C]0.370667312753268[/C][/ROW]
[ROW][C]205[/C][C]3.95[/C][C]4.1908370906563[/C][C]-0.240837090656295[/C][/ROW]
[ROW][C]206[/C][C]3.78[/C][C]3.91387005195969[/C][C]-0.133870051959689[/C][/ROW]
[ROW][C]207[/C][C]3.69[/C][C]3.72888033894798[/C][C]-0.038880338947977[/C][/ROW]
[ROW][C]208[/C][C]3.77[/C][C]3.63452682511798[/C][C]0.135473174882015[/C][/ROW]
[ROW][C]209[/C][C]3.66[/C][C]3.72969604319581[/C][C]-0.0696960431958145[/C][/ROW]
[ROW][C]210[/C][C]3.53[/C][C]3.61189202974946[/C][C]-0.0818920297494636[/C][/ROW]
[ROW][C]211[/C][C]3.5[/C][C]3.47272240587974[/C][C]0.027277594120263[/C][/ROW]
[ROW][C]212[/C][C]3.14[/C][C]3.44577673581782[/C][C]-0.305776735817816[/C][/ROW]
[ROW][C]213[/C][C]3.42[/C][C]3.05153826762818[/C][C]0.368461732371823[/C][/ROW]
[ROW][C]214[/C][C]3.3[/C][C]3.37279570753501[/C][C]-0.0727957075350134[/C][/ROW]
[ROW][C]215[/C][C]2.81[/C][C]3.24464461811314[/C][C]-0.434644618113138[/C][/ROW]
[ROW][C]216[/C][C]3.15[/C][C]2.70597654043462[/C][C]0.444023459565377[/C][/ROW]
[ROW][C]217[/C][C]3.37[/C][C]3.09569478683791[/C][C]0.274305213162091[/C][/ROW]
[ROW][C]218[/C][C]4.05[/C][C]3.34640932203622[/C][C]0.703590677963775[/C][/ROW]
[ROW][C]219[/C][C]4[/C][C]4.10519185917581[/C][C]-0.105191859175814[/C][/ROW]
[ROW][C]220[/C][C]4.2[/C][C]4.04341330409847[/C][C]0.156586695901529[/C][/ROW]
[ROW][C]221[/C][C]4.21[/C][C]4.26094664780497[/C][C]-0.0509466478049712[/C][/ROW]
[ROW][C]222[/C][C]4.24[/C][C]4.26524204383772[/C][C]-0.0252420438377197[/C][/ROW]
[ROW][C]223[/C][C]4.24[/C][C]4.29241563877238[/C][C]-0.052415638772378[/C][/ROW]
[ROW][C]224[/C][C]4.17[/C][C]4.28654654877785[/C][C]-0.11654654877785[/C][/ROW]
[ROW][C]225[/C][C]4.12[/C][C]4.20349658507715[/C][C]-0.0834965850771452[/C][/ROW]
[ROW][C]226[/C][C]4.35[/C][C]4.14414729575184[/C][C]0.205852704248157[/C][/ROW]
[ROW][C]227[/C][C]3.98[/C][C]4.3971970586689[/C][C]-0.417197058668898[/C][/ROW]
[ROW][C]228[/C][C]3.62[/C][C]3.98048262114362[/C][C]-0.360482621143615[/C][/ROW]
[ROW][C]229[/C][C]4.39[/C][C]3.58011861920628[/C][C]0.809881380793723[/C][/ROW]
[ROW][C]230[/C][C]5.01[/C][C]4.44080275127252[/C][C]0.569197248727482[/C][/ROW]
[ROW][C]231[/C][C]4.07[/C][C]5.12453697173917[/C][C]-1.05453697173917[/C][/ROW]
[ROW][C]232[/C][C]3.7[/C][C]4.0664582354183[/C][C]-0.366458235418295[/C][/ROW]
[ROW][C]233[/C][C]3.59[/C][C]3.65542513130512[/C][C]-0.0654251313051155[/C][/ROW]
[ROW][C]234[/C][C]3.44[/C][C]3.5380993409012[/C][C]-0.098099340901205[/C][/ROW]
[ROW][C]235[/C][C]3.33[/C][C]3.37711495010415[/C][C]-0.047114950104151[/C][/ROW]
[ROW][C]236[/C][C]2.98[/C][C]3.26183938943704[/C][C]-0.281839389437042[/C][/ROW]
[ROW][C]237[/C][C]3.14[/C][C]2.88028123657751[/C][C]0.25971876342249[/C][/ROW]
[ROW][C]238[/C][C]2.55[/C][C]3.06936249613086[/C][C]-0.519362496130858[/C][/ROW]
[ROW][C]239[/C][C]2.49[/C][C]2.421208378372[/C][C]0.0687916216279993[/C][/ROW]
[ROW][C]240[/C][C]2.53[/C][C]2.36891112182148[/C][C]0.161088878178519[/C][/ROW]
[ROW][C]241[/C][C]2.43[/C][C]2.42694858440498[/C][C]0.00305141559501543[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191790&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191790&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
38.879.14-0.270000000000001
48.819.08976752863007-0.279767528630069
58.878.99844136640954-0.128441366409536
69.069.044059514806980.015940485193024
79.129.23584440466705-0.115844404667055
88.669.2828730615283-0.622873061528301
98.178.7531286467144-0.583128646714396
108.048.19783449813373-0.157834498133735
117.718.05016143537071-0.340161435370713
127.557.68207283960775-0.132072839607755
137.527.507284364266320.0127156357336773
147.387.47870816090806-0.0987081609080587
157.527.327655599246460.192344400753538
167.317.48919280883516-0.179192808835156
176.927.25912821082476-0.339128210824763
187.096.831155307400710.258844692599292
197.057.030138695394290.0198613046057137
207.376.992362607701180.377637392298819
217.057.35464746566744-0.304647465667436
226.797.00053544424628-0.210535444246279
236.356.71696134502209-0.366961345022091
246.446.23587190666190.2041280933381
256.896.348728561245760.541271438754237
267.166.859335869673530.300664130326468
277.467.163001868607090.296998131392914
287.917.496257377882120.413742622117882
297.867.99258501483656-0.132585014836557
308.027.92773919015090.0922608098491011
318.388.098069828270640.281930171729364
328.58.489638146215550.0103618537844472
338.48.6107983849114-0.210798384911396
348.248.4871948436645-0.247194843664504
358.338.299515913909390.0304840860906133
368.288.39292928153892-0.112929281538918
378.158.33028435090576-0.18028435090576
388.068.18009753061982-0.120097530619818
397.798.07664995596773-0.286649955967733
407.287.77455315379371-0.494553153793711
417.527.20917699059750.310823009402498
427.237.48398050071927-0.253980500719265
437.137.16554176658402-0.0355417665840232
447.217.061562079766660.148437920233341
456.997.15818298781728-0.168182987817275
466.776.91935118276507-0.149351182765073
476.696.682628014776140.0073719852238554
486.396.60345347156214-0.213453471562145
496.856.279552634644310.570447365355688
506.746.8034268333153-0.0634268333153027
516.566.68632479656608-0.126324796566081
526.626.492179941767950.127820058232055
536.716.566492224179070.143507775820931
546.676.67256109352673-0.0025610935267304
556.546.6322743224648-0.0922743224647951
566.146.49194217130888-0.351942171308882
576.136.052534461612710.0774655383872904
585.866.05120844187734-0.191208441877339
595.885.759798428007910.120201571992088
605.755.79325765239262-0.0432576523926196
615.535.65841400151303-0.128414001513026
625.865.424035214015840.435964785984161
635.95.802851113684590.0971488863154075
645.955.853729080070340.0962709199296627
655.695.91450873870193-0.224508738701931
665.535.62937002012747-0.0993700201274681
675.715.458243348688460.251756651311543
685.65.66643307369944-0.0664330736994403
695.735.548994421852640.181005578147356
705.65.69926199947908-0.0992619994790802
715.415.55814742334066-0.14814742334066
725.135.35155904284186-0.221559042841863
7355.04675060795495-0.0467506079549533
745.044.911515843449310.128484156550694
755.14.965902486354520.134097513645478
764.965.04091766873254-0.0809176687325426
774.94.891857146127810.00814285387219105
784.84.83276891870766-0.0327689187076636
794.484.72909971353487-0.249099713534874
804.294.38120749146932-0.0912074914693166
814.274.180994795637580.0890052043624214
824.184.170960896721510.00903910327849022
834.024.08197302424402-0.0619730242440166
843.823.91503377357303-0.0950337735730344
854.133.704392640837020.425607359162977
864.164.062048797506380.097951202493622
873.984.10301660093245-0.123016600932447
884.263.909242171800170.350757828199835
894.74.228517268092130.471482731907872
904.964.72131018732850.238689812671498
915.135.008036790765110.121963209234887
925.355.191693269399850.158306730600152
935.415.42941920903146-0.0194192090314624
945.425.48724479910157-0.067244799101573
955.515.489715256643740.0202847433562603
965.755.581986582283610.168013417716392
975.675.84079940021277-0.170799400212774
985.465.74167462992783-0.281674629927834
995.565.500134925539210.0598650744607907
1005.565.60683814461215-0.0468381446121517
1015.545.60159357844175-0.0615935784417534
1025.535.57469681512023-0.0446968151202283
1035.655.559692018144490.0903079818555099
1045.585.68980399398124-0.109803993981242
1055.575.6075090084096-0.0375090084096046
1065.365.59330904536198-0.233309045361984
1075.235.35718493782772-0.127184937827718
1085.115.2129437711923-0.102943771192301
1095.075.08141693928384-0.0114169392838424
1105.045.04013856043188-0.000138560431875767
1115.345.01012304552710.329876954472901
1125.435.347060066200070.082939933799933
1135.315.44634702610388-0.136347026103883
1145.125.31107996105551-0.19107996105551
1154.975.09968433345559-0.129684333455592
11654.935163304202540.064836695797462
1174.644.97242320623742-0.332423206237419
1184.84.575201076366040.224798923633963
1195.14.760372287561420.339627712438575
1205.115.098401121238220.0115988787617836
1215.125.109699872238550.0103001277614538
1225.365.120853199340970.239146800659029
1235.265.38763097268962-0.127630972689618
1245.275.27333986258682-0.00333986258682017
1255.15.28296589110521-0.182965891105207
1264.945.0924788130885-0.152478813088496
1274.684.91540543771361-0.235405437713613
1284.414.62904659269138-0.219046592691381
1294.64.334519482164630.265480517835369
1304.534.55424589755253-0.0242458975525253
1314.184.48153103309477-0.301531033094768
13244.09776796522372-0.0977679652237189
1333.873.90682067926253-0.0368206792625254
1344.093.772697789886130.317302210113866
1354.134.028226789822740.101773210177263
1363.744.07962255153722-0.339622551537218
1373.813.651594295737470.158405704262527
1384.113.739331317659510.370668682340489
1394.144.080835874424650.0591641255753466
1403.994.11746060676755-0.127460606767555
1414.283.953188572897580.326811427102423
1424.374.279782339983650.0902176600163491
1434.244.37988420229293-0.139884202292933
1444.194.23422107214135-0.0442210721413536
1454.014.17926954511372-0.16926954511372
1463.953.98031607594168-0.030316075941677
1474.33.916921520764070.383078479235935
1484.374.309815628749020.0601843712509851
1494.44.386554600159250.0134453998407533
1504.294.41806011003237-0.128060110032369
1514.124.29372094851317-0.17372094851317
1524.074.1042690462825-0.0342690462824979
1533.934.05043186865061-0.120431868650608
1543.793.89694685746169-0.106946857461694
1553.673.74497179151238-0.0749717915123811
1563.533.61657704136256-0.0865770413625651
1573.693.466882826828170.223117173171831
1583.693.651865728865420.0381342711345831
1593.483.65613570390353-0.176135703903526
1603.313.42641341640173-0.116413416401727
1613.163.24337835981491-0.0833783598149087
1623.253.084042308422410.165957691577594
1633.143.19262494234551-0.0526249423455134
1643.193.076732416186980.113267583813023
1653.433.139415227241670.290584772758326
1663.453.411952619178540.0380473808214608
1673.313.43621286492441-0.126212864924412
1683.513.282080543349060.227919456650936
1693.533.507601167229990.0223988327700133
1703.833.530109211935320.299890788064683
1714.023.863688618099280.156311381900715
1723.994.0711911343145-0.0811911343144969
1734.114.032099991189850.0779000088101514
1743.964.16082262002715-0.200822620027146
1753.833.9883360862849-0.158336086284905
1763.713.84060685963515-0.130606859635146
1773.813.705982533173530.104017466826469
1783.733.81762958905429-0.087629589054286
1793.993.727817518527460.262182481472538
1804.174.017174645804560.152825354195443
18144.21428682412053-0.214286824120531
1824.14.020292674953210.0797073250467912
1834.244.129217672814140.110782327185863
1844.454.281622204425030.168377795574971
1854.624.510475822514110.109524177485889
1864.494.69273947644062-0.202739476440619
1874.454.54003830822934-0.0900383082293397
1884.494.489956528319194.34716808097591e-05
1894.364.52996139593528-0.169961395935284
1904.324.38093045876267-0.0609304587626669
1914.454.334107946354890.115892053645107
1924.134.47708462485055-0.347084624850552
1934.144.118220824910790.0217791750892138
1944.34.130659485234290.169340514765714
1954.424.309620901028450.110379098971552
1964.674.441980282322880.228019717677122
1974.964.717512132643070.242487867356926
1984.735.0346640123002-0.304664012300198
1994.524.77055013811756-0.250550138117556
2004.364.53249550894211-0.172495508942107
2014.154.35318082177347-0.203180821773465
2023.924.1204302351913-0.200430235191298
2033.883.867987637609490.0120123623905135
2044.23.829332687246730.370667312753268
2053.954.1908370906563-0.240837090656295
2063.783.91387005195969-0.133870051959689
2073.693.72888033894798-0.038880338947977
2083.773.634526825117980.135473174882015
2093.663.72969604319581-0.0696960431958145
2103.533.61189202974946-0.0818920297494636
2113.53.472722405879740.027277594120263
2123.143.44577673581782-0.305776735817816
2133.423.051538267628180.368461732371823
2143.33.37279570753501-0.0727957075350134
2152.813.24464461811314-0.434644618113138
2163.152.705976540434620.444023459565377
2173.373.095694786837910.274305213162091
2184.053.346409322036220.703590677963775
21944.10519185917581-0.105191859175814
2204.24.043413304098470.156586695901529
2214.214.26094664780497-0.0509466478049712
2224.244.26524204383772-0.0252420438377197
2234.244.29241563877238-0.052415638772378
2244.174.28654654877785-0.11654654877785
2254.124.20349658507715-0.0834965850771452
2264.354.144147295751840.205852704248157
2273.984.3971970586689-0.417197058668898
2283.623.98048262114362-0.360482621143615
2294.393.580118619206280.809881380793723
2305.014.440802751272520.569197248727482
2314.075.12453697173917-1.05453697173917
2323.74.0664582354183-0.366458235418295
2333.593.65542513130512-0.0654251313051155
2343.443.5380993409012-0.098099340901205
2353.333.37711495010415-0.047114950104151
2362.983.26183938943704-0.281839389437042
2373.142.880281236577510.25971876342249
2382.553.06936249613086-0.519362496130858
2392.492.4212083783720.0687916216279993
2402.532.368911121821480.161088878178519
2412.432.426948584404980.00305141559501543







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
2422.327290257866521.870496131984492.78408438374855
2432.224580515733041.541450744110522.90771028735555
2442.121870773599561.239120235765443.00462131143367
2452.019161031466070.9460161984240293.09230586450812
2461.916451289332590.6558670896344573.17703548903073
2471.813741547199110.3657156961474133.26176739825081
2481.711031805065630.07396395895253233.34809965117873
2491.60832206293215-0.220322682406613.43696680827091
2501.50561232079867-0.5177172516346893.52894189323202
2511.40290257866518-0.8185803207960223.62438547812639
2521.3001928365317-1.123140616408083.72352628947149
2531.19748309439822-1.431541647028743.82650783582519

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
242 & 2.32729025786652 & 1.87049613198449 & 2.78408438374855 \tabularnewline
243 & 2.22458051573304 & 1.54145074411052 & 2.90771028735555 \tabularnewline
244 & 2.12187077359956 & 1.23912023576544 & 3.00462131143367 \tabularnewline
245 & 2.01916103146607 & 0.946016198424029 & 3.09230586450812 \tabularnewline
246 & 1.91645128933259 & 0.655867089634457 & 3.17703548903073 \tabularnewline
247 & 1.81374154719911 & 0.365715696147413 & 3.26176739825081 \tabularnewline
248 & 1.71103180506563 & 0.0739639589525323 & 3.34809965117873 \tabularnewline
249 & 1.60832206293215 & -0.22032268240661 & 3.43696680827091 \tabularnewline
250 & 1.50561232079867 & -0.517717251634689 & 3.52894189323202 \tabularnewline
251 & 1.40290257866518 & -0.818580320796022 & 3.62438547812639 \tabularnewline
252 & 1.3001928365317 & -1.12314061640808 & 3.72352628947149 \tabularnewline
253 & 1.19748309439822 & -1.43154164702874 & 3.82650783582519 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=191790&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]2.32729025786652[/C][C]1.87049613198449[/C][C]2.78408438374855[/C][/ROW]
[ROW][C]243[/C][C]2.22458051573304[/C][C]1.54145074411052[/C][C]2.90771028735555[/C][/ROW]
[ROW][C]244[/C][C]2.12187077359956[/C][C]1.23912023576544[/C][C]3.00462131143367[/C][/ROW]
[ROW][C]245[/C][C]2.01916103146607[/C][C]0.946016198424029[/C][C]3.09230586450812[/C][/ROW]
[ROW][C]246[/C][C]1.91645128933259[/C][C]0.655867089634457[/C][C]3.17703548903073[/C][/ROW]
[ROW][C]247[/C][C]1.81374154719911[/C][C]0.365715696147413[/C][C]3.26176739825081[/C][/ROW]
[ROW][C]248[/C][C]1.71103180506563[/C][C]0.0739639589525323[/C][C]3.34809965117873[/C][/ROW]
[ROW][C]249[/C][C]1.60832206293215[/C][C]-0.22032268240661[/C][C]3.43696680827091[/C][/ROW]
[ROW][C]250[/C][C]1.50561232079867[/C][C]-0.517717251634689[/C][C]3.52894189323202[/C][/ROW]
[ROW][C]251[/C][C]1.40290257866518[/C][C]-0.818580320796022[/C][C]3.62438547812639[/C][/ROW]
[ROW][C]252[/C][C]1.3001928365317[/C][C]-1.12314061640808[/C][C]3.72352628947149[/C][/ROW]
[ROW][C]253[/C][C]1.19748309439822[/C][C]-1.43154164702874[/C][C]3.82650783582519[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=191790&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=191790&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
2422.327290257866521.870496131984492.78408438374855
2432.224580515733041.541450744110522.90771028735555
2442.121870773599561.239120235765443.00462131143367
2452.019161031466070.9460161984240293.09230586450812
2461.916451289332590.6558670896344573.17703548903073
2471.813741547199110.3657156961474133.26176739825081
2481.711031805065630.07396395895253233.34809965117873
2491.60832206293215-0.220322682406613.43696680827091
2501.50561232079867-0.5177172516346893.52894189323202
2511.40290257866518-0.8185803207960223.62438547812639
2521.3001928365317-1.123140616408083.72352628947149
2531.19748309439822-1.431541647028743.82650783582519



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')