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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 11 Nov 2019 02:16:19 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Nov/11/t1573435116x0zx7e9m430pjdo.htm/, Retrieved Fri, 17 May 2024 04:49:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318939, Retrieved Fri, 17 May 2024 04:49:15 +0000
QR Codes:

Original text written by user:3
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2019-11-11 01:16:19] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
6
7
3
4
4
7
4
6
6
13
5
10
5
4
5
10
12
6
8
14
12
6
10
8
15
4
7
8
8
6
4
12
9
17
7
8
12
9
8
9
10
10
8
7
18
8
9
8
13
11
16
15
8
11
12
10
6
10
10
12
13
10
12
13
20
12
15
18
10
10
14
15
9
7
10
15
8
15
14
16
9
11
12
13
8
7
11
13
11
14
12
16
14
8
10
11
8
15
13
14
17
14
13
11
15
16
9
7
13
9
17
9
15
15
9
10
11
12
13
9
13
12
12
17
16
6
9
15
18
16
12
13
11
18
18
18
15
25
21
25
15
22
15
14
12
15
25
24
19
15
12
21
20
13
19
9
11
18
20
16
15
12
27
11
17
16
12
10
14
14
18
13
6
15
14
13
12
17
9
10
8
12
14
16
28
13
17
15
14
12
10
13
8
18
12
10
16
13
19
21
22
15
18
8
16
6
14
12
23
16
20
25
17
14
10
14
19
14
17
16
25
16
32
17
15
14
16
21
18
11
15
16
24
17
20
20
10
11
16
18
13
26
24
22
28
21
20
13
11
22
12
34




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318939&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318939&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318939&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.110310835136177
beta0.0270362515289179
gamma0.232278227017413

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.110310835136177 \tabularnewline
beta & 0.0270362515289179 \tabularnewline
gamma & 0.232278227017413 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318939&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]0.110310835136177[/C][/ROW]
[ROW][C]beta[/C][C]0.0270362515289179[/C][/ROW]
[ROW][C]gamma[/C][C]0.232278227017413[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318939&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318939&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
alpha0.110310835136177
beta0.0270362515289179
gamma0.232278227017413







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1353.630608974358971.36939102564103
1442.54609552500391.4539044749961
1553.391907603820471.60809239617953
16108.884524242060331.11547575793967
171211.3677933796030.632206620397037
1865.59130484929590.408695150704103
1986.124712804375291.87528719562471
20148.783827926631635.21617207336837
21129.702035517022172.29796448297783
22616.9301866207231-10.9301866207231
23107.416531233358992.58346876664101
24812.6929500394358-4.69295003943584
25157.602363542671067.39763645732894
2647.22703547012776-3.22703547012776
2777.60113195514239-0.601131955142392
28812.7544355700006-4.75443557000063
29814.4790035847354-6.47900358473543
3067.83935713347744-1.83935713347744
3148.38863066199171-4.38863066199171
321210.98926919316541.01073080683456
33910.7700547979621-1.77005479796214
341714.73320489840892.26679510159108
3579.42476305340806-2.42476305340806
36812.586845032291-4.58684503229098
37129.948701571655532.05129842834447
3896.714176806172282.28582319382772
3988.18170841438978-0.181708414389776
40912.4668770465319-3.4668770465319
411013.9248261569932-3.92482615699321
42108.481099572569871.51890042743013
4388.8393780668925-0.839378066892502
44712.9233041645197-5.92330416451972
451811.31980537850876.68019462149126
46817.0298276400922-9.02982764009215
4799.45250019707681-0.452500197076805
48812.3380104556743-4.33801045567434
491311.05253888428041.94746111571956
50117.808130271325873.19186972867413
51168.821486748483087.17851325151692
521513.21742763674461.78257236325535
53815.1532241089976-7.15322410899757
541110.46213139728610.537868602713893
551210.20570012719671.79429987280328
561013.5182429167914-3.51824291679145
57614.780517008799-8.78051700879902
581015.4882712921035-5.48827129210353
591010.0345067263502-0.0345067263502177
601212.1247506705956-0.124750670595587
611312.57712591196810.422874088031879
62109.391307530557630.608692469442371
631210.90547393289611.09452606710389
641313.4589407091092-0.458940709109203
652013.23791417924176.76208582075829
661211.6498088034880.350191196511979
671511.61033515648333.38966484351671
681813.9837683605774.01623163942298
691014.9949400570905-4.99494005709047
701016.8171758912343-6.81717589123433
711412.35643642090261.6435635790974
721514.6307126189590.369287381041005
73915.2698009681273-6.26980096812734
74711.3831939431098-4.38319394310977
751012.4312991290403-2.43129912904032
761514.24847925598250.751520744017505
77815.6305364978477-7.63053649784773
781511.0640841863943.935915813606
791411.99334059988832.00665940011171
801614.28463415517811.71536584482191
81913.1138632649978-4.11386326499782
821114.5934195454754-3.59341954547543
831212.1830705619947-0.183070561994732
841313.9333829471359-0.933382947135907
85812.9937537782524-4.99375377825245
8679.57857656423929-2.57857656423929
871111.1752927312407-0.175292731240683
881313.8519825704574-0.851982570457409
891113.2730769520098-2.27307695200978
901411.65197710469282.34802289530715
911211.96674125417630.0332587458237441
921613.9336253172122.06637468278802
931411.55145492485172.44854507514827
94813.8365623572653-5.83656235726534
951011.8509414856121-1.85094148561212
961113.2246432308086-2.2246432308086
97811.2620550881462-3.26205508814616
98158.500755745486916.49924425451309
991311.58632243470841.41367756529164
1001414.2940071139126-0.29400711391256
1011713.48019530018833.51980469981173
1021413.46758496979980.53241503020018
1031313.1127910501536-0.112791050153607
1041115.4923648045551-4.49236480455506
1051512.45475737152932.54524262847067
1061613.02774301655592.97225698344409
107912.8531256690932-3.8531256690932
108713.9384111598101-6.93841115981009
1091311.2370721006391.76292789936105
110911.0579102727814-2.0579102727814
1111712.13365139742124.86634860257884
112914.8646792482234-5.86467924822345
1131514.20327134675330.796728653246701
1141513.24355919101261.75644080898737
115912.8647470063938-3.86474700639381
1161013.8884806666347-3.88848066663471
1171112.3367529110482-1.33675291104818
1181212.523084568566-0.523084568566045
1191310.4952937182542.50470628174602
120911.6061904044272-2.60619040442716
1211311.15570592445981.84429407554018
1221210.17095020519131.8290497948087
1231213.0930206781329-1.09302067813295
1241712.91788716600844.08211283399161
1251614.72884622008631.27115377991366
126614.0197248923963-8.01972489239633
127911.3716172881726-2.37161728817256
1281512.53037826479842.46962173520158
1291812.2015324409525.79846755904801
1301613.35857119294552.64142880705447
1311212.3304736599795-0.330473659979546
1321312.08887296074280.911127039257206
1331112.9730416627311-1.97304166273109
1341811.57959555714446.42040444285565
1351814.43352712680863.56647287319142
1361815.88499870964972.11500129035027
1371516.9353404919404-1.93534049194041
1382513.98021100543911.019788994561
1392114.68407677535396.31592322464608
1402517.91204217784017.08795782215994
1411518.9047528729258-3.9047528729258
1422218.43424326896493.56575673103506
1431516.9919472394308-1.99194723943077
1441416.9166942297582-2.9166942297582
1451216.8642103210145-4.8642103210145
1461516.959392184713-1.95939218471298
1472518.34717317676126.65282682323875
1482419.89636550389134.10363449610873
1491920.3921978038622-1.39219780386215
1501520.2389982711323-5.23899827113232
1511218.1935418875432-6.19354188754318
1522120.1800923724660.819907627534032
1532018.16994166150431.83005833849568
1541319.8532443482386-6.85324434823864
1551916.05939557320872.94060442679129
156916.2981689010858-7.29816890108578
1571115.3078452533964-4.30784525339641
1581816.01430507852591.98569492147406
1592019.5784079188940.421592081106009
1601619.8562133837452-3.85621338374517
1611518.2572955535351-3.25729555353511
1621217.0168817847502-5.01688178475022
1632714.712816508411612.2871834915884
1641120.1566262355545-9.1566262355545
1651717.1942225578498-0.194222557849791
1661616.7932500450001-0.793250045000093
1671215.6433860237325-3.64338602373251
1681012.9718895800176-2.97188958001761
1691413.02158440507750.978415594922502
1701415.5723523710429-1.57235237104292
1711818.370704313325-0.370704313325049
1721317.6246868728837-4.62468687288371
173616.010083482766-10.010083482766
1741513.58631232159141.41368767840859
1751415.5119422358823-1.51194223588229
1761314.9052797344234-1.90527973442344
1771214.5197342105848-2.51973421058478
1781713.65633145402423.34366854597577
179912.3040474021485-3.30404740214853
180109.739993184245790.260006815754206
181810.9034330805491-2.90343308054915
1821212.428163753408-0.428163753408001
1831415.5337743083876-1.53377430838757
1841613.70959547969282.2904045203072
1852811.694750092301816.3052499076982
1861314.562982112671-1.56298211267101
1871715.57513074811121.42486925188883
1881515.2393787051343-0.239378705134262
1891414.9438217924842-0.943821792484165
1901215.5038652348969-3.50386523489694
1911012.0399174573728-2.03991745737281
1921310.37309171522422.62690828477582
193811.1721936279695-3.17219362796946
1941813.20631252297314.79368747702686
1951216.7025506328726-4.70255063287262
1961015.352739399193-5.35273939919304
1971615.40185202958430.598147970415738
1981312.80884458687870.191155413121322
1991914.60117190099074.39882809900928
2002114.22764600729186.77235399270818
2012214.55898606157657.44101393842348
2021515.5389316018289-0.538931601828921
2031812.73743419111715.2625658088829
204812.8952084989649-4.89520849896493
2051611.69832185841864.30167814158137
206616.2575706044182-10.2575706044182
2071416.1406423238858-2.14064232388583
2081214.9563124656815-2.95631246568151
2092316.52394733937916.47605266062086
2101614.53714671360821.46285328639178
2112017.3850046171252.61499538287501
2122517.34559471522267.65440528477743
2131717.9554374832757-0.955437483275688
2141416.3780436341212-2.37804363412118
2151014.5850773724521-4.58507737245211
2161411.54051551410732.45948448589272
2171913.06057697219055.9394230278095
2181414.8016827151231-0.801682715123093
2191717.4433934034141-0.443393403414078
2201616.3209325357546-0.320932535754615
2212520.17959420084484.82040579915516
2221617.0202816052565-1.02028160525651
2233219.87104220516412.128957794836
2241721.9896441509323-4.9896441509323
2251519.4548284014911-4.45482840149106
2261417.2163758140503-3.21637581405034
2271614.89128797713461.10871202286539
2282113.96404182918767.0359581708124
2291816.75516706963921.24483293036077
2301116.6184024829375-5.6184024829375
2311518.8215337512607-3.82153375126066
2321617.3603741972707-1.36037419727069
2332422.1723991993041.82760080069596
2341717.4725519219916-0.472551921991631
2352023.0993420560362-3.0993420560362
2362019.95327627044760.0467237295524043
2371018.0524001117475-8.0524001117475
2381115.6301510286009-4.63015102860089
2391613.99581658948382.0041834105162
2401814.34782410837583.65217589162422
2411315.5143982242515-2.51439822425145
2422613.478897554991112.5211024450089
2432418.0427171864995.95728281350101
2442218.18641503938513.81358496061485
2452824.26096290594973.73903709405025
2462119.33529617359151.66470382640849
2472024.7000499265886-4.7000499265886
2481322.0678279090409-9.06782790904085
2491117.5008745703575-6.5008745703575
2502215.97471362668746.02528637331262
2511216.9363009872964-4.93630098729639
2523416.892055634998217.1079443650018

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 5 & 3.63060897435897 & 1.36939102564103 \tabularnewline
14 & 4 & 2.5460955250039 & 1.4539044749961 \tabularnewline
15 & 5 & 3.39190760382047 & 1.60809239617953 \tabularnewline
16 & 10 & 8.88452424206033 & 1.11547575793967 \tabularnewline
17 & 12 & 11.367793379603 & 0.632206620397037 \tabularnewline
18 & 6 & 5.5913048492959 & 0.408695150704103 \tabularnewline
19 & 8 & 6.12471280437529 & 1.87528719562471 \tabularnewline
20 & 14 & 8.78382792663163 & 5.21617207336837 \tabularnewline
21 & 12 & 9.70203551702217 & 2.29796448297783 \tabularnewline
22 & 6 & 16.9301866207231 & -10.9301866207231 \tabularnewline
23 & 10 & 7.41653123335899 & 2.58346876664101 \tabularnewline
24 & 8 & 12.6929500394358 & -4.69295003943584 \tabularnewline
25 & 15 & 7.60236354267106 & 7.39763645732894 \tabularnewline
26 & 4 & 7.22703547012776 & -3.22703547012776 \tabularnewline
27 & 7 & 7.60113195514239 & -0.601131955142392 \tabularnewline
28 & 8 & 12.7544355700006 & -4.75443557000063 \tabularnewline
29 & 8 & 14.4790035847354 & -6.47900358473543 \tabularnewline
30 & 6 & 7.83935713347744 & -1.83935713347744 \tabularnewline
31 & 4 & 8.38863066199171 & -4.38863066199171 \tabularnewline
32 & 12 & 10.9892691931654 & 1.01073080683456 \tabularnewline
33 & 9 & 10.7700547979621 & -1.77005479796214 \tabularnewline
34 & 17 & 14.7332048984089 & 2.26679510159108 \tabularnewline
35 & 7 & 9.42476305340806 & -2.42476305340806 \tabularnewline
36 & 8 & 12.586845032291 & -4.58684503229098 \tabularnewline
37 & 12 & 9.94870157165553 & 2.05129842834447 \tabularnewline
38 & 9 & 6.71417680617228 & 2.28582319382772 \tabularnewline
39 & 8 & 8.18170841438978 & -0.181708414389776 \tabularnewline
40 & 9 & 12.4668770465319 & -3.4668770465319 \tabularnewline
41 & 10 & 13.9248261569932 & -3.92482615699321 \tabularnewline
42 & 10 & 8.48109957256987 & 1.51890042743013 \tabularnewline
43 & 8 & 8.8393780668925 & -0.839378066892502 \tabularnewline
44 & 7 & 12.9233041645197 & -5.92330416451972 \tabularnewline
45 & 18 & 11.3198053785087 & 6.68019462149126 \tabularnewline
46 & 8 & 17.0298276400922 & -9.02982764009215 \tabularnewline
47 & 9 & 9.45250019707681 & -0.452500197076805 \tabularnewline
48 & 8 & 12.3380104556743 & -4.33801045567434 \tabularnewline
49 & 13 & 11.0525388842804 & 1.94746111571956 \tabularnewline
50 & 11 & 7.80813027132587 & 3.19186972867413 \tabularnewline
51 & 16 & 8.82148674848308 & 7.17851325151692 \tabularnewline
52 & 15 & 13.2174276367446 & 1.78257236325535 \tabularnewline
53 & 8 & 15.1532241089976 & -7.15322410899757 \tabularnewline
54 & 11 & 10.4621313972861 & 0.537868602713893 \tabularnewline
55 & 12 & 10.2057001271967 & 1.79429987280328 \tabularnewline
56 & 10 & 13.5182429167914 & -3.51824291679145 \tabularnewline
57 & 6 & 14.780517008799 & -8.78051700879902 \tabularnewline
58 & 10 & 15.4882712921035 & -5.48827129210353 \tabularnewline
59 & 10 & 10.0345067263502 & -0.0345067263502177 \tabularnewline
60 & 12 & 12.1247506705956 & -0.124750670595587 \tabularnewline
61 & 13 & 12.5771259119681 & 0.422874088031879 \tabularnewline
62 & 10 & 9.39130753055763 & 0.608692469442371 \tabularnewline
63 & 12 & 10.9054739328961 & 1.09452606710389 \tabularnewline
64 & 13 & 13.4589407091092 & -0.458940709109203 \tabularnewline
65 & 20 & 13.2379141792417 & 6.76208582075829 \tabularnewline
66 & 12 & 11.649808803488 & 0.350191196511979 \tabularnewline
67 & 15 & 11.6103351564833 & 3.38966484351671 \tabularnewline
68 & 18 & 13.983768360577 & 4.01623163942298 \tabularnewline
69 & 10 & 14.9949400570905 & -4.99494005709047 \tabularnewline
70 & 10 & 16.8171758912343 & -6.81717589123433 \tabularnewline
71 & 14 & 12.3564364209026 & 1.6435635790974 \tabularnewline
72 & 15 & 14.630712618959 & 0.369287381041005 \tabularnewline
73 & 9 & 15.2698009681273 & -6.26980096812734 \tabularnewline
74 & 7 & 11.3831939431098 & -4.38319394310977 \tabularnewline
75 & 10 & 12.4312991290403 & -2.43129912904032 \tabularnewline
76 & 15 & 14.2484792559825 & 0.751520744017505 \tabularnewline
77 & 8 & 15.6305364978477 & -7.63053649784773 \tabularnewline
78 & 15 & 11.064084186394 & 3.935915813606 \tabularnewline
79 & 14 & 11.9933405998883 & 2.00665940011171 \tabularnewline
80 & 16 & 14.2846341551781 & 1.71536584482191 \tabularnewline
81 & 9 & 13.1138632649978 & -4.11386326499782 \tabularnewline
82 & 11 & 14.5934195454754 & -3.59341954547543 \tabularnewline
83 & 12 & 12.1830705619947 & -0.183070561994732 \tabularnewline
84 & 13 & 13.9333829471359 & -0.933382947135907 \tabularnewline
85 & 8 & 12.9937537782524 & -4.99375377825245 \tabularnewline
86 & 7 & 9.57857656423929 & -2.57857656423929 \tabularnewline
87 & 11 & 11.1752927312407 & -0.175292731240683 \tabularnewline
88 & 13 & 13.8519825704574 & -0.851982570457409 \tabularnewline
89 & 11 & 13.2730769520098 & -2.27307695200978 \tabularnewline
90 & 14 & 11.6519771046928 & 2.34802289530715 \tabularnewline
91 & 12 & 11.9667412541763 & 0.0332587458237441 \tabularnewline
92 & 16 & 13.933625317212 & 2.06637468278802 \tabularnewline
93 & 14 & 11.5514549248517 & 2.44854507514827 \tabularnewline
94 & 8 & 13.8365623572653 & -5.83656235726534 \tabularnewline
95 & 10 & 11.8509414856121 & -1.85094148561212 \tabularnewline
96 & 11 & 13.2246432308086 & -2.2246432308086 \tabularnewline
97 & 8 & 11.2620550881462 & -3.26205508814616 \tabularnewline
98 & 15 & 8.50075574548691 & 6.49924425451309 \tabularnewline
99 & 13 & 11.5863224347084 & 1.41367756529164 \tabularnewline
100 & 14 & 14.2940071139126 & -0.29400711391256 \tabularnewline
101 & 17 & 13.4801953001883 & 3.51980469981173 \tabularnewline
102 & 14 & 13.4675849697998 & 0.53241503020018 \tabularnewline
103 & 13 & 13.1127910501536 & -0.112791050153607 \tabularnewline
104 & 11 & 15.4923648045551 & -4.49236480455506 \tabularnewline
105 & 15 & 12.4547573715293 & 2.54524262847067 \tabularnewline
106 & 16 & 13.0277430165559 & 2.97225698344409 \tabularnewline
107 & 9 & 12.8531256690932 & -3.8531256690932 \tabularnewline
108 & 7 & 13.9384111598101 & -6.93841115981009 \tabularnewline
109 & 13 & 11.237072100639 & 1.76292789936105 \tabularnewline
110 & 9 & 11.0579102727814 & -2.0579102727814 \tabularnewline
111 & 17 & 12.1336513974212 & 4.86634860257884 \tabularnewline
112 & 9 & 14.8646792482234 & -5.86467924822345 \tabularnewline
113 & 15 & 14.2032713467533 & 0.796728653246701 \tabularnewline
114 & 15 & 13.2435591910126 & 1.75644080898737 \tabularnewline
115 & 9 & 12.8647470063938 & -3.86474700639381 \tabularnewline
116 & 10 & 13.8884806666347 & -3.88848066663471 \tabularnewline
117 & 11 & 12.3367529110482 & -1.33675291104818 \tabularnewline
118 & 12 & 12.523084568566 & -0.523084568566045 \tabularnewline
119 & 13 & 10.495293718254 & 2.50470628174602 \tabularnewline
120 & 9 & 11.6061904044272 & -2.60619040442716 \tabularnewline
121 & 13 & 11.1557059244598 & 1.84429407554018 \tabularnewline
122 & 12 & 10.1709502051913 & 1.8290497948087 \tabularnewline
123 & 12 & 13.0930206781329 & -1.09302067813295 \tabularnewline
124 & 17 & 12.9178871660084 & 4.08211283399161 \tabularnewline
125 & 16 & 14.7288462200863 & 1.27115377991366 \tabularnewline
126 & 6 & 14.0197248923963 & -8.01972489239633 \tabularnewline
127 & 9 & 11.3716172881726 & -2.37161728817256 \tabularnewline
128 & 15 & 12.5303782647984 & 2.46962173520158 \tabularnewline
129 & 18 & 12.201532440952 & 5.79846755904801 \tabularnewline
130 & 16 & 13.3585711929455 & 2.64142880705447 \tabularnewline
131 & 12 & 12.3304736599795 & -0.330473659979546 \tabularnewline
132 & 13 & 12.0888729607428 & 0.911127039257206 \tabularnewline
133 & 11 & 12.9730416627311 & -1.97304166273109 \tabularnewline
134 & 18 & 11.5795955571444 & 6.42040444285565 \tabularnewline
135 & 18 & 14.4335271268086 & 3.56647287319142 \tabularnewline
136 & 18 & 15.8849987096497 & 2.11500129035027 \tabularnewline
137 & 15 & 16.9353404919404 & -1.93534049194041 \tabularnewline
138 & 25 & 13.980211005439 & 11.019788994561 \tabularnewline
139 & 21 & 14.6840767753539 & 6.31592322464608 \tabularnewline
140 & 25 & 17.9120421778401 & 7.08795782215994 \tabularnewline
141 & 15 & 18.9047528729258 & -3.9047528729258 \tabularnewline
142 & 22 & 18.4342432689649 & 3.56575673103506 \tabularnewline
143 & 15 & 16.9919472394308 & -1.99194723943077 \tabularnewline
144 & 14 & 16.9166942297582 & -2.9166942297582 \tabularnewline
145 & 12 & 16.8642103210145 & -4.8642103210145 \tabularnewline
146 & 15 & 16.959392184713 & -1.95939218471298 \tabularnewline
147 & 25 & 18.3471731767612 & 6.65282682323875 \tabularnewline
148 & 24 & 19.8963655038913 & 4.10363449610873 \tabularnewline
149 & 19 & 20.3921978038622 & -1.39219780386215 \tabularnewline
150 & 15 & 20.2389982711323 & -5.23899827113232 \tabularnewline
151 & 12 & 18.1935418875432 & -6.19354188754318 \tabularnewline
152 & 21 & 20.180092372466 & 0.819907627534032 \tabularnewline
153 & 20 & 18.1699416615043 & 1.83005833849568 \tabularnewline
154 & 13 & 19.8532443482386 & -6.85324434823864 \tabularnewline
155 & 19 & 16.0593955732087 & 2.94060442679129 \tabularnewline
156 & 9 & 16.2981689010858 & -7.29816890108578 \tabularnewline
157 & 11 & 15.3078452533964 & -4.30784525339641 \tabularnewline
158 & 18 & 16.0143050785259 & 1.98569492147406 \tabularnewline
159 & 20 & 19.578407918894 & 0.421592081106009 \tabularnewline
160 & 16 & 19.8562133837452 & -3.85621338374517 \tabularnewline
161 & 15 & 18.2572955535351 & -3.25729555353511 \tabularnewline
162 & 12 & 17.0168817847502 & -5.01688178475022 \tabularnewline
163 & 27 & 14.7128165084116 & 12.2871834915884 \tabularnewline
164 & 11 & 20.1566262355545 & -9.1566262355545 \tabularnewline
165 & 17 & 17.1942225578498 & -0.194222557849791 \tabularnewline
166 & 16 & 16.7932500450001 & -0.793250045000093 \tabularnewline
167 & 12 & 15.6433860237325 & -3.64338602373251 \tabularnewline
168 & 10 & 12.9718895800176 & -2.97188958001761 \tabularnewline
169 & 14 & 13.0215844050775 & 0.978415594922502 \tabularnewline
170 & 14 & 15.5723523710429 & -1.57235237104292 \tabularnewline
171 & 18 & 18.370704313325 & -0.370704313325049 \tabularnewline
172 & 13 & 17.6246868728837 & -4.62468687288371 \tabularnewline
173 & 6 & 16.010083482766 & -10.010083482766 \tabularnewline
174 & 15 & 13.5863123215914 & 1.41368767840859 \tabularnewline
175 & 14 & 15.5119422358823 & -1.51194223588229 \tabularnewline
176 & 13 & 14.9052797344234 & -1.90527973442344 \tabularnewline
177 & 12 & 14.5197342105848 & -2.51973421058478 \tabularnewline
178 & 17 & 13.6563314540242 & 3.34366854597577 \tabularnewline
179 & 9 & 12.3040474021485 & -3.30404740214853 \tabularnewline
180 & 10 & 9.73999318424579 & 0.260006815754206 \tabularnewline
181 & 8 & 10.9034330805491 & -2.90343308054915 \tabularnewline
182 & 12 & 12.428163753408 & -0.428163753408001 \tabularnewline
183 & 14 & 15.5337743083876 & -1.53377430838757 \tabularnewline
184 & 16 & 13.7095954796928 & 2.2904045203072 \tabularnewline
185 & 28 & 11.6947500923018 & 16.3052499076982 \tabularnewline
186 & 13 & 14.562982112671 & -1.56298211267101 \tabularnewline
187 & 17 & 15.5751307481112 & 1.42486925188883 \tabularnewline
188 & 15 & 15.2393787051343 & -0.239378705134262 \tabularnewline
189 & 14 & 14.9438217924842 & -0.943821792484165 \tabularnewline
190 & 12 & 15.5038652348969 & -3.50386523489694 \tabularnewline
191 & 10 & 12.0399174573728 & -2.03991745737281 \tabularnewline
192 & 13 & 10.3730917152242 & 2.62690828477582 \tabularnewline
193 & 8 & 11.1721936279695 & -3.17219362796946 \tabularnewline
194 & 18 & 13.2063125229731 & 4.79368747702686 \tabularnewline
195 & 12 & 16.7025506328726 & -4.70255063287262 \tabularnewline
196 & 10 & 15.352739399193 & -5.35273939919304 \tabularnewline
197 & 16 & 15.4018520295843 & 0.598147970415738 \tabularnewline
198 & 13 & 12.8088445868787 & 0.191155413121322 \tabularnewline
199 & 19 & 14.6011719009907 & 4.39882809900928 \tabularnewline
200 & 21 & 14.2276460072918 & 6.77235399270818 \tabularnewline
201 & 22 & 14.5589860615765 & 7.44101393842348 \tabularnewline
202 & 15 & 15.5389316018289 & -0.538931601828921 \tabularnewline
203 & 18 & 12.7374341911171 & 5.2625658088829 \tabularnewline
204 & 8 & 12.8952084989649 & -4.89520849896493 \tabularnewline
205 & 16 & 11.6983218584186 & 4.30167814158137 \tabularnewline
206 & 6 & 16.2575706044182 & -10.2575706044182 \tabularnewline
207 & 14 & 16.1406423238858 & -2.14064232388583 \tabularnewline
208 & 12 & 14.9563124656815 & -2.95631246568151 \tabularnewline
209 & 23 & 16.5239473393791 & 6.47605266062086 \tabularnewline
210 & 16 & 14.5371467136082 & 1.46285328639178 \tabularnewline
211 & 20 & 17.385004617125 & 2.61499538287501 \tabularnewline
212 & 25 & 17.3455947152226 & 7.65440528477743 \tabularnewline
213 & 17 & 17.9554374832757 & -0.955437483275688 \tabularnewline
214 & 14 & 16.3780436341212 & -2.37804363412118 \tabularnewline
215 & 10 & 14.5850773724521 & -4.58507737245211 \tabularnewline
216 & 14 & 11.5405155141073 & 2.45948448589272 \tabularnewline
217 & 19 & 13.0605769721905 & 5.9394230278095 \tabularnewline
218 & 14 & 14.8016827151231 & -0.801682715123093 \tabularnewline
219 & 17 & 17.4433934034141 & -0.443393403414078 \tabularnewline
220 & 16 & 16.3209325357546 & -0.320932535754615 \tabularnewline
221 & 25 & 20.1795942008448 & 4.82040579915516 \tabularnewline
222 & 16 & 17.0202816052565 & -1.02028160525651 \tabularnewline
223 & 32 & 19.871042205164 & 12.128957794836 \tabularnewline
224 & 17 & 21.9896441509323 & -4.9896441509323 \tabularnewline
225 & 15 & 19.4548284014911 & -4.45482840149106 \tabularnewline
226 & 14 & 17.2163758140503 & -3.21637581405034 \tabularnewline
227 & 16 & 14.8912879771346 & 1.10871202286539 \tabularnewline
228 & 21 & 13.9640418291876 & 7.0359581708124 \tabularnewline
229 & 18 & 16.7551670696392 & 1.24483293036077 \tabularnewline
230 & 11 & 16.6184024829375 & -5.6184024829375 \tabularnewline
231 & 15 & 18.8215337512607 & -3.82153375126066 \tabularnewline
232 & 16 & 17.3603741972707 & -1.36037419727069 \tabularnewline
233 & 24 & 22.172399199304 & 1.82760080069596 \tabularnewline
234 & 17 & 17.4725519219916 & -0.472551921991631 \tabularnewline
235 & 20 & 23.0993420560362 & -3.0993420560362 \tabularnewline
236 & 20 & 19.9532762704476 & 0.0467237295524043 \tabularnewline
237 & 10 & 18.0524001117475 & -8.0524001117475 \tabularnewline
238 & 11 & 15.6301510286009 & -4.63015102860089 \tabularnewline
239 & 16 & 13.9958165894838 & 2.0041834105162 \tabularnewline
240 & 18 & 14.3478241083758 & 3.65217589162422 \tabularnewline
241 & 13 & 15.5143982242515 & -2.51439822425145 \tabularnewline
242 & 26 & 13.4788975549911 & 12.5211024450089 \tabularnewline
243 & 24 & 18.042717186499 & 5.95728281350101 \tabularnewline
244 & 22 & 18.1864150393851 & 3.81358496061485 \tabularnewline
245 & 28 & 24.2609629059497 & 3.73903709405025 \tabularnewline
246 & 21 & 19.3352961735915 & 1.66470382640849 \tabularnewline
247 & 20 & 24.7000499265886 & -4.7000499265886 \tabularnewline
248 & 13 & 22.0678279090409 & -9.06782790904085 \tabularnewline
249 & 11 & 17.5008745703575 & -6.5008745703575 \tabularnewline
250 & 22 & 15.9747136266874 & 6.02528637331262 \tabularnewline
251 & 12 & 16.9363009872964 & -4.93630098729639 \tabularnewline
252 & 34 & 16.8920556349982 & 17.1079443650018 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318939&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]5[/C][C]3.63060897435897[/C][C]1.36939102564103[/C][/ROW]
[ROW][C]14[/C][C]4[/C][C]2.5460955250039[/C][C]1.4539044749961[/C][/ROW]
[ROW][C]15[/C][C]5[/C][C]3.39190760382047[/C][C]1.60809239617953[/C][/ROW]
[ROW][C]16[/C][C]10[/C][C]8.88452424206033[/C][C]1.11547575793967[/C][/ROW]
[ROW][C]17[/C][C]12[/C][C]11.367793379603[/C][C]0.632206620397037[/C][/ROW]
[ROW][C]18[/C][C]6[/C][C]5.5913048492959[/C][C]0.408695150704103[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]6.12471280437529[/C][C]1.87528719562471[/C][/ROW]
[ROW][C]20[/C][C]14[/C][C]8.78382792663163[/C][C]5.21617207336837[/C][/ROW]
[ROW][C]21[/C][C]12[/C][C]9.70203551702217[/C][C]2.29796448297783[/C][/ROW]
[ROW][C]22[/C][C]6[/C][C]16.9301866207231[/C][C]-10.9301866207231[/C][/ROW]
[ROW][C]23[/C][C]10[/C][C]7.41653123335899[/C][C]2.58346876664101[/C][/ROW]
[ROW][C]24[/C][C]8[/C][C]12.6929500394358[/C][C]-4.69295003943584[/C][/ROW]
[ROW][C]25[/C][C]15[/C][C]7.60236354267106[/C][C]7.39763645732894[/C][/ROW]
[ROW][C]26[/C][C]4[/C][C]7.22703547012776[/C][C]-3.22703547012776[/C][/ROW]
[ROW][C]27[/C][C]7[/C][C]7.60113195514239[/C][C]-0.601131955142392[/C][/ROW]
[ROW][C]28[/C][C]8[/C][C]12.7544355700006[/C][C]-4.75443557000063[/C][/ROW]
[ROW][C]29[/C][C]8[/C][C]14.4790035847354[/C][C]-6.47900358473543[/C][/ROW]
[ROW][C]30[/C][C]6[/C][C]7.83935713347744[/C][C]-1.83935713347744[/C][/ROW]
[ROW][C]31[/C][C]4[/C][C]8.38863066199171[/C][C]-4.38863066199171[/C][/ROW]
[ROW][C]32[/C][C]12[/C][C]10.9892691931654[/C][C]1.01073080683456[/C][/ROW]
[ROW][C]33[/C][C]9[/C][C]10.7700547979621[/C][C]-1.77005479796214[/C][/ROW]
[ROW][C]34[/C][C]17[/C][C]14.7332048984089[/C][C]2.26679510159108[/C][/ROW]
[ROW][C]35[/C][C]7[/C][C]9.42476305340806[/C][C]-2.42476305340806[/C][/ROW]
[ROW][C]36[/C][C]8[/C][C]12.586845032291[/C][C]-4.58684503229098[/C][/ROW]
[ROW][C]37[/C][C]12[/C][C]9.94870157165553[/C][C]2.05129842834447[/C][/ROW]
[ROW][C]38[/C][C]9[/C][C]6.71417680617228[/C][C]2.28582319382772[/C][/ROW]
[ROW][C]39[/C][C]8[/C][C]8.18170841438978[/C][C]-0.181708414389776[/C][/ROW]
[ROW][C]40[/C][C]9[/C][C]12.4668770465319[/C][C]-3.4668770465319[/C][/ROW]
[ROW][C]41[/C][C]10[/C][C]13.9248261569932[/C][C]-3.92482615699321[/C][/ROW]
[ROW][C]42[/C][C]10[/C][C]8.48109957256987[/C][C]1.51890042743013[/C][/ROW]
[ROW][C]43[/C][C]8[/C][C]8.8393780668925[/C][C]-0.839378066892502[/C][/ROW]
[ROW][C]44[/C][C]7[/C][C]12.9233041645197[/C][C]-5.92330416451972[/C][/ROW]
[ROW][C]45[/C][C]18[/C][C]11.3198053785087[/C][C]6.68019462149126[/C][/ROW]
[ROW][C]46[/C][C]8[/C][C]17.0298276400922[/C][C]-9.02982764009215[/C][/ROW]
[ROW][C]47[/C][C]9[/C][C]9.45250019707681[/C][C]-0.452500197076805[/C][/ROW]
[ROW][C]48[/C][C]8[/C][C]12.3380104556743[/C][C]-4.33801045567434[/C][/ROW]
[ROW][C]49[/C][C]13[/C][C]11.0525388842804[/C][C]1.94746111571956[/C][/ROW]
[ROW][C]50[/C][C]11[/C][C]7.80813027132587[/C][C]3.19186972867413[/C][/ROW]
[ROW][C]51[/C][C]16[/C][C]8.82148674848308[/C][C]7.17851325151692[/C][/ROW]
[ROW][C]52[/C][C]15[/C][C]13.2174276367446[/C][C]1.78257236325535[/C][/ROW]
[ROW][C]53[/C][C]8[/C][C]15.1532241089976[/C][C]-7.15322410899757[/C][/ROW]
[ROW][C]54[/C][C]11[/C][C]10.4621313972861[/C][C]0.537868602713893[/C][/ROW]
[ROW][C]55[/C][C]12[/C][C]10.2057001271967[/C][C]1.79429987280328[/C][/ROW]
[ROW][C]56[/C][C]10[/C][C]13.5182429167914[/C][C]-3.51824291679145[/C][/ROW]
[ROW][C]57[/C][C]6[/C][C]14.780517008799[/C][C]-8.78051700879902[/C][/ROW]
[ROW][C]58[/C][C]10[/C][C]15.4882712921035[/C][C]-5.48827129210353[/C][/ROW]
[ROW][C]59[/C][C]10[/C][C]10.0345067263502[/C][C]-0.0345067263502177[/C][/ROW]
[ROW][C]60[/C][C]12[/C][C]12.1247506705956[/C][C]-0.124750670595587[/C][/ROW]
[ROW][C]61[/C][C]13[/C][C]12.5771259119681[/C][C]0.422874088031879[/C][/ROW]
[ROW][C]62[/C][C]10[/C][C]9.39130753055763[/C][C]0.608692469442371[/C][/ROW]
[ROW][C]63[/C][C]12[/C][C]10.9054739328961[/C][C]1.09452606710389[/C][/ROW]
[ROW][C]64[/C][C]13[/C][C]13.4589407091092[/C][C]-0.458940709109203[/C][/ROW]
[ROW][C]65[/C][C]20[/C][C]13.2379141792417[/C][C]6.76208582075829[/C][/ROW]
[ROW][C]66[/C][C]12[/C][C]11.649808803488[/C][C]0.350191196511979[/C][/ROW]
[ROW][C]67[/C][C]15[/C][C]11.6103351564833[/C][C]3.38966484351671[/C][/ROW]
[ROW][C]68[/C][C]18[/C][C]13.983768360577[/C][C]4.01623163942298[/C][/ROW]
[ROW][C]69[/C][C]10[/C][C]14.9949400570905[/C][C]-4.99494005709047[/C][/ROW]
[ROW][C]70[/C][C]10[/C][C]16.8171758912343[/C][C]-6.81717589123433[/C][/ROW]
[ROW][C]71[/C][C]14[/C][C]12.3564364209026[/C][C]1.6435635790974[/C][/ROW]
[ROW][C]72[/C][C]15[/C][C]14.630712618959[/C][C]0.369287381041005[/C][/ROW]
[ROW][C]73[/C][C]9[/C][C]15.2698009681273[/C][C]-6.26980096812734[/C][/ROW]
[ROW][C]74[/C][C]7[/C][C]11.3831939431098[/C][C]-4.38319394310977[/C][/ROW]
[ROW][C]75[/C][C]10[/C][C]12.4312991290403[/C][C]-2.43129912904032[/C][/ROW]
[ROW][C]76[/C][C]15[/C][C]14.2484792559825[/C][C]0.751520744017505[/C][/ROW]
[ROW][C]77[/C][C]8[/C][C]15.6305364978477[/C][C]-7.63053649784773[/C][/ROW]
[ROW][C]78[/C][C]15[/C][C]11.064084186394[/C][C]3.935915813606[/C][/ROW]
[ROW][C]79[/C][C]14[/C][C]11.9933405998883[/C][C]2.00665940011171[/C][/ROW]
[ROW][C]80[/C][C]16[/C][C]14.2846341551781[/C][C]1.71536584482191[/C][/ROW]
[ROW][C]81[/C][C]9[/C][C]13.1138632649978[/C][C]-4.11386326499782[/C][/ROW]
[ROW][C]82[/C][C]11[/C][C]14.5934195454754[/C][C]-3.59341954547543[/C][/ROW]
[ROW][C]83[/C][C]12[/C][C]12.1830705619947[/C][C]-0.183070561994732[/C][/ROW]
[ROW][C]84[/C][C]13[/C][C]13.9333829471359[/C][C]-0.933382947135907[/C][/ROW]
[ROW][C]85[/C][C]8[/C][C]12.9937537782524[/C][C]-4.99375377825245[/C][/ROW]
[ROW][C]86[/C][C]7[/C][C]9.57857656423929[/C][C]-2.57857656423929[/C][/ROW]
[ROW][C]87[/C][C]11[/C][C]11.1752927312407[/C][C]-0.175292731240683[/C][/ROW]
[ROW][C]88[/C][C]13[/C][C]13.8519825704574[/C][C]-0.851982570457409[/C][/ROW]
[ROW][C]89[/C][C]11[/C][C]13.2730769520098[/C][C]-2.27307695200978[/C][/ROW]
[ROW][C]90[/C][C]14[/C][C]11.6519771046928[/C][C]2.34802289530715[/C][/ROW]
[ROW][C]91[/C][C]12[/C][C]11.9667412541763[/C][C]0.0332587458237441[/C][/ROW]
[ROW][C]92[/C][C]16[/C][C]13.933625317212[/C][C]2.06637468278802[/C][/ROW]
[ROW][C]93[/C][C]14[/C][C]11.5514549248517[/C][C]2.44854507514827[/C][/ROW]
[ROW][C]94[/C][C]8[/C][C]13.8365623572653[/C][C]-5.83656235726534[/C][/ROW]
[ROW][C]95[/C][C]10[/C][C]11.8509414856121[/C][C]-1.85094148561212[/C][/ROW]
[ROW][C]96[/C][C]11[/C][C]13.2246432308086[/C][C]-2.2246432308086[/C][/ROW]
[ROW][C]97[/C][C]8[/C][C]11.2620550881462[/C][C]-3.26205508814616[/C][/ROW]
[ROW][C]98[/C][C]15[/C][C]8.50075574548691[/C][C]6.49924425451309[/C][/ROW]
[ROW][C]99[/C][C]13[/C][C]11.5863224347084[/C][C]1.41367756529164[/C][/ROW]
[ROW][C]100[/C][C]14[/C][C]14.2940071139126[/C][C]-0.29400711391256[/C][/ROW]
[ROW][C]101[/C][C]17[/C][C]13.4801953001883[/C][C]3.51980469981173[/C][/ROW]
[ROW][C]102[/C][C]14[/C][C]13.4675849697998[/C][C]0.53241503020018[/C][/ROW]
[ROW][C]103[/C][C]13[/C][C]13.1127910501536[/C][C]-0.112791050153607[/C][/ROW]
[ROW][C]104[/C][C]11[/C][C]15.4923648045551[/C][C]-4.49236480455506[/C][/ROW]
[ROW][C]105[/C][C]15[/C][C]12.4547573715293[/C][C]2.54524262847067[/C][/ROW]
[ROW][C]106[/C][C]16[/C][C]13.0277430165559[/C][C]2.97225698344409[/C][/ROW]
[ROW][C]107[/C][C]9[/C][C]12.8531256690932[/C][C]-3.8531256690932[/C][/ROW]
[ROW][C]108[/C][C]7[/C][C]13.9384111598101[/C][C]-6.93841115981009[/C][/ROW]
[ROW][C]109[/C][C]13[/C][C]11.237072100639[/C][C]1.76292789936105[/C][/ROW]
[ROW][C]110[/C][C]9[/C][C]11.0579102727814[/C][C]-2.0579102727814[/C][/ROW]
[ROW][C]111[/C][C]17[/C][C]12.1336513974212[/C][C]4.86634860257884[/C][/ROW]
[ROW][C]112[/C][C]9[/C][C]14.8646792482234[/C][C]-5.86467924822345[/C][/ROW]
[ROW][C]113[/C][C]15[/C][C]14.2032713467533[/C][C]0.796728653246701[/C][/ROW]
[ROW][C]114[/C][C]15[/C][C]13.2435591910126[/C][C]1.75644080898737[/C][/ROW]
[ROW][C]115[/C][C]9[/C][C]12.8647470063938[/C][C]-3.86474700639381[/C][/ROW]
[ROW][C]116[/C][C]10[/C][C]13.8884806666347[/C][C]-3.88848066663471[/C][/ROW]
[ROW][C]117[/C][C]11[/C][C]12.3367529110482[/C][C]-1.33675291104818[/C][/ROW]
[ROW][C]118[/C][C]12[/C][C]12.523084568566[/C][C]-0.523084568566045[/C][/ROW]
[ROW][C]119[/C][C]13[/C][C]10.495293718254[/C][C]2.50470628174602[/C][/ROW]
[ROW][C]120[/C][C]9[/C][C]11.6061904044272[/C][C]-2.60619040442716[/C][/ROW]
[ROW][C]121[/C][C]13[/C][C]11.1557059244598[/C][C]1.84429407554018[/C][/ROW]
[ROW][C]122[/C][C]12[/C][C]10.1709502051913[/C][C]1.8290497948087[/C][/ROW]
[ROW][C]123[/C][C]12[/C][C]13.0930206781329[/C][C]-1.09302067813295[/C][/ROW]
[ROW][C]124[/C][C]17[/C][C]12.9178871660084[/C][C]4.08211283399161[/C][/ROW]
[ROW][C]125[/C][C]16[/C][C]14.7288462200863[/C][C]1.27115377991366[/C][/ROW]
[ROW][C]126[/C][C]6[/C][C]14.0197248923963[/C][C]-8.01972489239633[/C][/ROW]
[ROW][C]127[/C][C]9[/C][C]11.3716172881726[/C][C]-2.37161728817256[/C][/ROW]
[ROW][C]128[/C][C]15[/C][C]12.5303782647984[/C][C]2.46962173520158[/C][/ROW]
[ROW][C]129[/C][C]18[/C][C]12.201532440952[/C][C]5.79846755904801[/C][/ROW]
[ROW][C]130[/C][C]16[/C][C]13.3585711929455[/C][C]2.64142880705447[/C][/ROW]
[ROW][C]131[/C][C]12[/C][C]12.3304736599795[/C][C]-0.330473659979546[/C][/ROW]
[ROW][C]132[/C][C]13[/C][C]12.0888729607428[/C][C]0.911127039257206[/C][/ROW]
[ROW][C]133[/C][C]11[/C][C]12.9730416627311[/C][C]-1.97304166273109[/C][/ROW]
[ROW][C]134[/C][C]18[/C][C]11.5795955571444[/C][C]6.42040444285565[/C][/ROW]
[ROW][C]135[/C][C]18[/C][C]14.4335271268086[/C][C]3.56647287319142[/C][/ROW]
[ROW][C]136[/C][C]18[/C][C]15.8849987096497[/C][C]2.11500129035027[/C][/ROW]
[ROW][C]137[/C][C]15[/C][C]16.9353404919404[/C][C]-1.93534049194041[/C][/ROW]
[ROW][C]138[/C][C]25[/C][C]13.980211005439[/C][C]11.019788994561[/C][/ROW]
[ROW][C]139[/C][C]21[/C][C]14.6840767753539[/C][C]6.31592322464608[/C][/ROW]
[ROW][C]140[/C][C]25[/C][C]17.9120421778401[/C][C]7.08795782215994[/C][/ROW]
[ROW][C]141[/C][C]15[/C][C]18.9047528729258[/C][C]-3.9047528729258[/C][/ROW]
[ROW][C]142[/C][C]22[/C][C]18.4342432689649[/C][C]3.56575673103506[/C][/ROW]
[ROW][C]143[/C][C]15[/C][C]16.9919472394308[/C][C]-1.99194723943077[/C][/ROW]
[ROW][C]144[/C][C]14[/C][C]16.9166942297582[/C][C]-2.9166942297582[/C][/ROW]
[ROW][C]145[/C][C]12[/C][C]16.8642103210145[/C][C]-4.8642103210145[/C][/ROW]
[ROW][C]146[/C][C]15[/C][C]16.959392184713[/C][C]-1.95939218471298[/C][/ROW]
[ROW][C]147[/C][C]25[/C][C]18.3471731767612[/C][C]6.65282682323875[/C][/ROW]
[ROW][C]148[/C][C]24[/C][C]19.8963655038913[/C][C]4.10363449610873[/C][/ROW]
[ROW][C]149[/C][C]19[/C][C]20.3921978038622[/C][C]-1.39219780386215[/C][/ROW]
[ROW][C]150[/C][C]15[/C][C]20.2389982711323[/C][C]-5.23899827113232[/C][/ROW]
[ROW][C]151[/C][C]12[/C][C]18.1935418875432[/C][C]-6.19354188754318[/C][/ROW]
[ROW][C]152[/C][C]21[/C][C]20.180092372466[/C][C]0.819907627534032[/C][/ROW]
[ROW][C]153[/C][C]20[/C][C]18.1699416615043[/C][C]1.83005833849568[/C][/ROW]
[ROW][C]154[/C][C]13[/C][C]19.8532443482386[/C][C]-6.85324434823864[/C][/ROW]
[ROW][C]155[/C][C]19[/C][C]16.0593955732087[/C][C]2.94060442679129[/C][/ROW]
[ROW][C]156[/C][C]9[/C][C]16.2981689010858[/C][C]-7.29816890108578[/C][/ROW]
[ROW][C]157[/C][C]11[/C][C]15.3078452533964[/C][C]-4.30784525339641[/C][/ROW]
[ROW][C]158[/C][C]18[/C][C]16.0143050785259[/C][C]1.98569492147406[/C][/ROW]
[ROW][C]159[/C][C]20[/C][C]19.578407918894[/C][C]0.421592081106009[/C][/ROW]
[ROW][C]160[/C][C]16[/C][C]19.8562133837452[/C][C]-3.85621338374517[/C][/ROW]
[ROW][C]161[/C][C]15[/C][C]18.2572955535351[/C][C]-3.25729555353511[/C][/ROW]
[ROW][C]162[/C][C]12[/C][C]17.0168817847502[/C][C]-5.01688178475022[/C][/ROW]
[ROW][C]163[/C][C]27[/C][C]14.7128165084116[/C][C]12.2871834915884[/C][/ROW]
[ROW][C]164[/C][C]11[/C][C]20.1566262355545[/C][C]-9.1566262355545[/C][/ROW]
[ROW][C]165[/C][C]17[/C][C]17.1942225578498[/C][C]-0.194222557849791[/C][/ROW]
[ROW][C]166[/C][C]16[/C][C]16.7932500450001[/C][C]-0.793250045000093[/C][/ROW]
[ROW][C]167[/C][C]12[/C][C]15.6433860237325[/C][C]-3.64338602373251[/C][/ROW]
[ROW][C]168[/C][C]10[/C][C]12.9718895800176[/C][C]-2.97188958001761[/C][/ROW]
[ROW][C]169[/C][C]14[/C][C]13.0215844050775[/C][C]0.978415594922502[/C][/ROW]
[ROW][C]170[/C][C]14[/C][C]15.5723523710429[/C][C]-1.57235237104292[/C][/ROW]
[ROW][C]171[/C][C]18[/C][C]18.370704313325[/C][C]-0.370704313325049[/C][/ROW]
[ROW][C]172[/C][C]13[/C][C]17.6246868728837[/C][C]-4.62468687288371[/C][/ROW]
[ROW][C]173[/C][C]6[/C][C]16.010083482766[/C][C]-10.010083482766[/C][/ROW]
[ROW][C]174[/C][C]15[/C][C]13.5863123215914[/C][C]1.41368767840859[/C][/ROW]
[ROW][C]175[/C][C]14[/C][C]15.5119422358823[/C][C]-1.51194223588229[/C][/ROW]
[ROW][C]176[/C][C]13[/C][C]14.9052797344234[/C][C]-1.90527973442344[/C][/ROW]
[ROW][C]177[/C][C]12[/C][C]14.5197342105848[/C][C]-2.51973421058478[/C][/ROW]
[ROW][C]178[/C][C]17[/C][C]13.6563314540242[/C][C]3.34366854597577[/C][/ROW]
[ROW][C]179[/C][C]9[/C][C]12.3040474021485[/C][C]-3.30404740214853[/C][/ROW]
[ROW][C]180[/C][C]10[/C][C]9.73999318424579[/C][C]0.260006815754206[/C][/ROW]
[ROW][C]181[/C][C]8[/C][C]10.9034330805491[/C][C]-2.90343308054915[/C][/ROW]
[ROW][C]182[/C][C]12[/C][C]12.428163753408[/C][C]-0.428163753408001[/C][/ROW]
[ROW][C]183[/C][C]14[/C][C]15.5337743083876[/C][C]-1.53377430838757[/C][/ROW]
[ROW][C]184[/C][C]16[/C][C]13.7095954796928[/C][C]2.2904045203072[/C][/ROW]
[ROW][C]185[/C][C]28[/C][C]11.6947500923018[/C][C]16.3052499076982[/C][/ROW]
[ROW][C]186[/C][C]13[/C][C]14.562982112671[/C][C]-1.56298211267101[/C][/ROW]
[ROW][C]187[/C][C]17[/C][C]15.5751307481112[/C][C]1.42486925188883[/C][/ROW]
[ROW][C]188[/C][C]15[/C][C]15.2393787051343[/C][C]-0.239378705134262[/C][/ROW]
[ROW][C]189[/C][C]14[/C][C]14.9438217924842[/C][C]-0.943821792484165[/C][/ROW]
[ROW][C]190[/C][C]12[/C][C]15.5038652348969[/C][C]-3.50386523489694[/C][/ROW]
[ROW][C]191[/C][C]10[/C][C]12.0399174573728[/C][C]-2.03991745737281[/C][/ROW]
[ROW][C]192[/C][C]13[/C][C]10.3730917152242[/C][C]2.62690828477582[/C][/ROW]
[ROW][C]193[/C][C]8[/C][C]11.1721936279695[/C][C]-3.17219362796946[/C][/ROW]
[ROW][C]194[/C][C]18[/C][C]13.2063125229731[/C][C]4.79368747702686[/C][/ROW]
[ROW][C]195[/C][C]12[/C][C]16.7025506328726[/C][C]-4.70255063287262[/C][/ROW]
[ROW][C]196[/C][C]10[/C][C]15.352739399193[/C][C]-5.35273939919304[/C][/ROW]
[ROW][C]197[/C][C]16[/C][C]15.4018520295843[/C][C]0.598147970415738[/C][/ROW]
[ROW][C]198[/C][C]13[/C][C]12.8088445868787[/C][C]0.191155413121322[/C][/ROW]
[ROW][C]199[/C][C]19[/C][C]14.6011719009907[/C][C]4.39882809900928[/C][/ROW]
[ROW][C]200[/C][C]21[/C][C]14.2276460072918[/C][C]6.77235399270818[/C][/ROW]
[ROW][C]201[/C][C]22[/C][C]14.5589860615765[/C][C]7.44101393842348[/C][/ROW]
[ROW][C]202[/C][C]15[/C][C]15.5389316018289[/C][C]-0.538931601828921[/C][/ROW]
[ROW][C]203[/C][C]18[/C][C]12.7374341911171[/C][C]5.2625658088829[/C][/ROW]
[ROW][C]204[/C][C]8[/C][C]12.8952084989649[/C][C]-4.89520849896493[/C][/ROW]
[ROW][C]205[/C][C]16[/C][C]11.6983218584186[/C][C]4.30167814158137[/C][/ROW]
[ROW][C]206[/C][C]6[/C][C]16.2575706044182[/C][C]-10.2575706044182[/C][/ROW]
[ROW][C]207[/C][C]14[/C][C]16.1406423238858[/C][C]-2.14064232388583[/C][/ROW]
[ROW][C]208[/C][C]12[/C][C]14.9563124656815[/C][C]-2.95631246568151[/C][/ROW]
[ROW][C]209[/C][C]23[/C][C]16.5239473393791[/C][C]6.47605266062086[/C][/ROW]
[ROW][C]210[/C][C]16[/C][C]14.5371467136082[/C][C]1.46285328639178[/C][/ROW]
[ROW][C]211[/C][C]20[/C][C]17.385004617125[/C][C]2.61499538287501[/C][/ROW]
[ROW][C]212[/C][C]25[/C][C]17.3455947152226[/C][C]7.65440528477743[/C][/ROW]
[ROW][C]213[/C][C]17[/C][C]17.9554374832757[/C][C]-0.955437483275688[/C][/ROW]
[ROW][C]214[/C][C]14[/C][C]16.3780436341212[/C][C]-2.37804363412118[/C][/ROW]
[ROW][C]215[/C][C]10[/C][C]14.5850773724521[/C][C]-4.58507737245211[/C][/ROW]
[ROW][C]216[/C][C]14[/C][C]11.5405155141073[/C][C]2.45948448589272[/C][/ROW]
[ROW][C]217[/C][C]19[/C][C]13.0605769721905[/C][C]5.9394230278095[/C][/ROW]
[ROW][C]218[/C][C]14[/C][C]14.8016827151231[/C][C]-0.801682715123093[/C][/ROW]
[ROW][C]219[/C][C]17[/C][C]17.4433934034141[/C][C]-0.443393403414078[/C][/ROW]
[ROW][C]220[/C][C]16[/C][C]16.3209325357546[/C][C]-0.320932535754615[/C][/ROW]
[ROW][C]221[/C][C]25[/C][C]20.1795942008448[/C][C]4.82040579915516[/C][/ROW]
[ROW][C]222[/C][C]16[/C][C]17.0202816052565[/C][C]-1.02028160525651[/C][/ROW]
[ROW][C]223[/C][C]32[/C][C]19.871042205164[/C][C]12.128957794836[/C][/ROW]
[ROW][C]224[/C][C]17[/C][C]21.9896441509323[/C][C]-4.9896441509323[/C][/ROW]
[ROW][C]225[/C][C]15[/C][C]19.4548284014911[/C][C]-4.45482840149106[/C][/ROW]
[ROW][C]226[/C][C]14[/C][C]17.2163758140503[/C][C]-3.21637581405034[/C][/ROW]
[ROW][C]227[/C][C]16[/C][C]14.8912879771346[/C][C]1.10871202286539[/C][/ROW]
[ROW][C]228[/C][C]21[/C][C]13.9640418291876[/C][C]7.0359581708124[/C][/ROW]
[ROW][C]229[/C][C]18[/C][C]16.7551670696392[/C][C]1.24483293036077[/C][/ROW]
[ROW][C]230[/C][C]11[/C][C]16.6184024829375[/C][C]-5.6184024829375[/C][/ROW]
[ROW][C]231[/C][C]15[/C][C]18.8215337512607[/C][C]-3.82153375126066[/C][/ROW]
[ROW][C]232[/C][C]16[/C][C]17.3603741972707[/C][C]-1.36037419727069[/C][/ROW]
[ROW][C]233[/C][C]24[/C][C]22.172399199304[/C][C]1.82760080069596[/C][/ROW]
[ROW][C]234[/C][C]17[/C][C]17.4725519219916[/C][C]-0.472551921991631[/C][/ROW]
[ROW][C]235[/C][C]20[/C][C]23.0993420560362[/C][C]-3.0993420560362[/C][/ROW]
[ROW][C]236[/C][C]20[/C][C]19.9532762704476[/C][C]0.0467237295524043[/C][/ROW]
[ROW][C]237[/C][C]10[/C][C]18.0524001117475[/C][C]-8.0524001117475[/C][/ROW]
[ROW][C]238[/C][C]11[/C][C]15.6301510286009[/C][C]-4.63015102860089[/C][/ROW]
[ROW][C]239[/C][C]16[/C][C]13.9958165894838[/C][C]2.0041834105162[/C][/ROW]
[ROW][C]240[/C][C]18[/C][C]14.3478241083758[/C][C]3.65217589162422[/C][/ROW]
[ROW][C]241[/C][C]13[/C][C]15.5143982242515[/C][C]-2.51439822425145[/C][/ROW]
[ROW][C]242[/C][C]26[/C][C]13.4788975549911[/C][C]12.5211024450089[/C][/ROW]
[ROW][C]243[/C][C]24[/C][C]18.042717186499[/C][C]5.95728281350101[/C][/ROW]
[ROW][C]244[/C][C]22[/C][C]18.1864150393851[/C][C]3.81358496061485[/C][/ROW]
[ROW][C]245[/C][C]28[/C][C]24.2609629059497[/C][C]3.73903709405025[/C][/ROW]
[ROW][C]246[/C][C]21[/C][C]19.3352961735915[/C][C]1.66470382640849[/C][/ROW]
[ROW][C]247[/C][C]20[/C][C]24.7000499265886[/C][C]-4.7000499265886[/C][/ROW]
[ROW][C]248[/C][C]13[/C][C]22.0678279090409[/C][C]-9.06782790904085[/C][/ROW]
[ROW][C]249[/C][C]11[/C][C]17.5008745703575[/C][C]-6.5008745703575[/C][/ROW]
[ROW][C]250[/C][C]22[/C][C]15.9747136266874[/C][C]6.02528637331262[/C][/ROW]
[ROW][C]251[/C][C]12[/C][C]16.9363009872964[/C][C]-4.93630098729639[/C][/ROW]
[ROW][C]252[/C][C]34[/C][C]16.8920556349982[/C][C]17.1079443650018[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318939&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318939&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
1353.630608974358971.36939102564103
1442.54609552500391.4539044749961
1553.391907603820471.60809239617953
16108.884524242060331.11547575793967
171211.3677933796030.632206620397037
1865.59130484929590.408695150704103
1986.124712804375291.87528719562471
20148.783827926631635.21617207336837
21129.702035517022172.29796448297783
22616.9301866207231-10.9301866207231
23107.416531233358992.58346876664101
24812.6929500394358-4.69295003943584
25157.602363542671067.39763645732894
2647.22703547012776-3.22703547012776
2777.60113195514239-0.601131955142392
28812.7544355700006-4.75443557000063
29814.4790035847354-6.47900358473543
3067.83935713347744-1.83935713347744
3148.38863066199171-4.38863066199171
321210.98926919316541.01073080683456
33910.7700547979621-1.77005479796214
341714.73320489840892.26679510159108
3579.42476305340806-2.42476305340806
36812.586845032291-4.58684503229098
37129.948701571655532.05129842834447
3896.714176806172282.28582319382772
3988.18170841438978-0.181708414389776
40912.4668770465319-3.4668770465319
411013.9248261569932-3.92482615699321
42108.481099572569871.51890042743013
4388.8393780668925-0.839378066892502
44712.9233041645197-5.92330416451972
451811.31980537850876.68019462149126
46817.0298276400922-9.02982764009215
4799.45250019707681-0.452500197076805
48812.3380104556743-4.33801045567434
491311.05253888428041.94746111571956
50117.808130271325873.19186972867413
51168.821486748483087.17851325151692
521513.21742763674461.78257236325535
53815.1532241089976-7.15322410899757
541110.46213139728610.537868602713893
551210.20570012719671.79429987280328
561013.5182429167914-3.51824291679145
57614.780517008799-8.78051700879902
581015.4882712921035-5.48827129210353
591010.0345067263502-0.0345067263502177
601212.1247506705956-0.124750670595587
611312.57712591196810.422874088031879
62109.391307530557630.608692469442371
631210.90547393289611.09452606710389
641313.4589407091092-0.458940709109203
652013.23791417924176.76208582075829
661211.6498088034880.350191196511979
671511.61033515648333.38966484351671
681813.9837683605774.01623163942298
691014.9949400570905-4.99494005709047
701016.8171758912343-6.81717589123433
711412.35643642090261.6435635790974
721514.6307126189590.369287381041005
73915.2698009681273-6.26980096812734
74711.3831939431098-4.38319394310977
751012.4312991290403-2.43129912904032
761514.24847925598250.751520744017505
77815.6305364978477-7.63053649784773
781511.0640841863943.935915813606
791411.99334059988832.00665940011171
801614.28463415517811.71536584482191
81913.1138632649978-4.11386326499782
821114.5934195454754-3.59341954547543
831212.1830705619947-0.183070561994732
841313.9333829471359-0.933382947135907
85812.9937537782524-4.99375377825245
8679.57857656423929-2.57857656423929
871111.1752927312407-0.175292731240683
881313.8519825704574-0.851982570457409
891113.2730769520098-2.27307695200978
901411.65197710469282.34802289530715
911211.96674125417630.0332587458237441
921613.9336253172122.06637468278802
931411.55145492485172.44854507514827
94813.8365623572653-5.83656235726534
951011.8509414856121-1.85094148561212
961113.2246432308086-2.2246432308086
97811.2620550881462-3.26205508814616
98158.500755745486916.49924425451309
991311.58632243470841.41367756529164
1001414.2940071139126-0.29400711391256
1011713.48019530018833.51980469981173
1021413.46758496979980.53241503020018
1031313.1127910501536-0.112791050153607
1041115.4923648045551-4.49236480455506
1051512.45475737152932.54524262847067
1061613.02774301655592.97225698344409
107912.8531256690932-3.8531256690932
108713.9384111598101-6.93841115981009
1091311.2370721006391.76292789936105
110911.0579102727814-2.0579102727814
1111712.13365139742124.86634860257884
112914.8646792482234-5.86467924822345
1131514.20327134675330.796728653246701
1141513.24355919101261.75644080898737
115912.8647470063938-3.86474700639381
1161013.8884806666347-3.88848066663471
1171112.3367529110482-1.33675291104818
1181212.523084568566-0.523084568566045
1191310.4952937182542.50470628174602
120911.6061904044272-2.60619040442716
1211311.15570592445981.84429407554018
1221210.17095020519131.8290497948087
1231213.0930206781329-1.09302067813295
1241712.91788716600844.08211283399161
1251614.72884622008631.27115377991366
126614.0197248923963-8.01972489239633
127911.3716172881726-2.37161728817256
1281512.53037826479842.46962173520158
1291812.2015324409525.79846755904801
1301613.35857119294552.64142880705447
1311212.3304736599795-0.330473659979546
1321312.08887296074280.911127039257206
1331112.9730416627311-1.97304166273109
1341811.57959555714446.42040444285565
1351814.43352712680863.56647287319142
1361815.88499870964972.11500129035027
1371516.9353404919404-1.93534049194041
1382513.98021100543911.019788994561
1392114.68407677535396.31592322464608
1402517.91204217784017.08795782215994
1411518.9047528729258-3.9047528729258
1422218.43424326896493.56575673103506
1431516.9919472394308-1.99194723943077
1441416.9166942297582-2.9166942297582
1451216.8642103210145-4.8642103210145
1461516.959392184713-1.95939218471298
1472518.34717317676126.65282682323875
1482419.89636550389134.10363449610873
1491920.3921978038622-1.39219780386215
1501520.2389982711323-5.23899827113232
1511218.1935418875432-6.19354188754318
1522120.1800923724660.819907627534032
1532018.16994166150431.83005833849568
1541319.8532443482386-6.85324434823864
1551916.05939557320872.94060442679129
156916.2981689010858-7.29816890108578
1571115.3078452533964-4.30784525339641
1581816.01430507852591.98569492147406
1592019.5784079188940.421592081106009
1601619.8562133837452-3.85621338374517
1611518.2572955535351-3.25729555353511
1621217.0168817847502-5.01688178475022
1632714.712816508411612.2871834915884
1641120.1566262355545-9.1566262355545
1651717.1942225578498-0.194222557849791
1661616.7932500450001-0.793250045000093
1671215.6433860237325-3.64338602373251
1681012.9718895800176-2.97188958001761
1691413.02158440507750.978415594922502
1701415.5723523710429-1.57235237104292
1711818.370704313325-0.370704313325049
1721317.6246868728837-4.62468687288371
173616.010083482766-10.010083482766
1741513.58631232159141.41368767840859
1751415.5119422358823-1.51194223588229
1761314.9052797344234-1.90527973442344
1771214.5197342105848-2.51973421058478
1781713.65633145402423.34366854597577
179912.3040474021485-3.30404740214853
180109.739993184245790.260006815754206
181810.9034330805491-2.90343308054915
1821212.428163753408-0.428163753408001
1831415.5337743083876-1.53377430838757
1841613.70959547969282.2904045203072
1852811.694750092301816.3052499076982
1861314.562982112671-1.56298211267101
1871715.57513074811121.42486925188883
1881515.2393787051343-0.239378705134262
1891414.9438217924842-0.943821792484165
1901215.5038652348969-3.50386523489694
1911012.0399174573728-2.03991745737281
1921310.37309171522422.62690828477582
193811.1721936279695-3.17219362796946
1941813.20631252297314.79368747702686
1951216.7025506328726-4.70255063287262
1961015.352739399193-5.35273939919304
1971615.40185202958430.598147970415738
1981312.80884458687870.191155413121322
1991914.60117190099074.39882809900928
2002114.22764600729186.77235399270818
2012214.55898606157657.44101393842348
2021515.5389316018289-0.538931601828921
2031812.73743419111715.2625658088829
204812.8952084989649-4.89520849896493
2051611.69832185841864.30167814158137
206616.2575706044182-10.2575706044182
2071416.1406423238858-2.14064232388583
2081214.9563124656815-2.95631246568151
2092316.52394733937916.47605266062086
2101614.53714671360821.46285328639178
2112017.3850046171252.61499538287501
2122517.34559471522267.65440528477743
2131717.9554374832757-0.955437483275688
2141416.3780436341212-2.37804363412118
2151014.5850773724521-4.58507737245211
2161411.54051551410732.45948448589272
2171913.06057697219055.9394230278095
2181414.8016827151231-0.801682715123093
2191717.4433934034141-0.443393403414078
2201616.3209325357546-0.320932535754615
2212520.17959420084484.82040579915516
2221617.0202816052565-1.02028160525651
2233219.87104220516412.128957794836
2241721.9896441509323-4.9896441509323
2251519.4548284014911-4.45482840149106
2261417.2163758140503-3.21637581405034
2271614.89128797713461.10871202286539
2282113.96404182918767.0359581708124
2291816.75516706963921.24483293036077
2301116.6184024829375-5.6184024829375
2311518.8215337512607-3.82153375126066
2321617.3603741972707-1.36037419727069
2332422.1723991993041.82760080069596
2341717.4725519219916-0.472551921991631
2352023.0993420560362-3.0993420560362
2362019.95327627044760.0467237295524043
2371018.0524001117475-8.0524001117475
2381115.6301510286009-4.63015102860089
2391613.99581658948382.0041834105162
2401814.34782410837583.65217589162422
2411315.5143982242515-2.51439822425145
2422613.478897554991112.5211024450089
2432418.0427171864995.95728281350101
2442218.18641503938513.81358496061485
2452824.26096290594973.73903709405025
2462119.33529617359151.66470382640849
2472024.7000499265886-4.7000499265886
2481322.0678279090409-9.06782790904085
2491117.5008745703575-6.5008745703575
2502215.97471362668746.02528637331262
2511216.9363009872964-4.93630098729639
2523416.892055634998217.1079443650018







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
25318.33751238050279.5404147959564827.1346099650489
25419.762965279004410.909590766169128.6163397918397
25521.628200365851712.715931292177630.5404694395259
25620.693049280392611.719242845028929.6668557157564
25726.341448768943117.303439991886435.3794575459998
25820.573439328005911.468544002846529.6783346531653
25924.433068353862815.258585953233733.6075507544918
26021.424526170193312.17774269363330.6713096467536
26118.42320954138279.1014002960094627.745018786756
26220.257034942517610.857467247677829.6566026373574
26318.32499707719468.8449328850678627.8050612693214
26423.431864618678613.868563043686932.9951661936703

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
253 & 18.3375123805027 & 9.54041479595648 & 27.1346099650489 \tabularnewline
254 & 19.7629652790044 & 10.9095907661691 & 28.6163397918397 \tabularnewline
255 & 21.6282003658517 & 12.7159312921776 & 30.5404694395259 \tabularnewline
256 & 20.6930492803926 & 11.7192428450289 & 29.6668557157564 \tabularnewline
257 & 26.3414487689431 & 17.3034399918864 & 35.3794575459998 \tabularnewline
258 & 20.5734393280059 & 11.4685440028465 & 29.6783346531653 \tabularnewline
259 & 24.4330683538628 & 15.2585859532337 & 33.6075507544918 \tabularnewline
260 & 21.4245261701933 & 12.177742693633 & 30.6713096467536 \tabularnewline
261 & 18.4232095413827 & 9.10140029600946 & 27.745018786756 \tabularnewline
262 & 20.2570349425176 & 10.8574672476778 & 29.6566026373574 \tabularnewline
263 & 18.3249970771946 & 8.84493288506786 & 27.8050612693214 \tabularnewline
264 & 23.4318646186786 & 13.8685630436869 & 32.9951661936703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318939&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]253[/C][C]18.3375123805027[/C][C]9.54041479595648[/C][C]27.1346099650489[/C][/ROW]
[ROW][C]254[/C][C]19.7629652790044[/C][C]10.9095907661691[/C][C]28.6163397918397[/C][/ROW]
[ROW][C]255[/C][C]21.6282003658517[/C][C]12.7159312921776[/C][C]30.5404694395259[/C][/ROW]
[ROW][C]256[/C][C]20.6930492803926[/C][C]11.7192428450289[/C][C]29.6668557157564[/C][/ROW]
[ROW][C]257[/C][C]26.3414487689431[/C][C]17.3034399918864[/C][C]35.3794575459998[/C][/ROW]
[ROW][C]258[/C][C]20.5734393280059[/C][C]11.4685440028465[/C][C]29.6783346531653[/C][/ROW]
[ROW][C]259[/C][C]24.4330683538628[/C][C]15.2585859532337[/C][C]33.6075507544918[/C][/ROW]
[ROW][C]260[/C][C]21.4245261701933[/C][C]12.177742693633[/C][C]30.6713096467536[/C][/ROW]
[ROW][C]261[/C][C]18.4232095413827[/C][C]9.10140029600946[/C][C]27.745018786756[/C][/ROW]
[ROW][C]262[/C][C]20.2570349425176[/C][C]10.8574672476778[/C][C]29.6566026373574[/C][/ROW]
[ROW][C]263[/C][C]18.3249970771946[/C][C]8.84493288506786[/C][C]27.8050612693214[/C][/ROW]
[ROW][C]264[/C][C]23.4318646186786[/C][C]13.8685630436869[/C][C]32.9951661936703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318939&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318939&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
25318.33751238050279.5404147959564827.1346099650489
25419.762965279004410.909590766169128.6163397918397
25521.628200365851712.715931292177630.5404694395259
25620.693049280392611.719242845028929.6668557157564
25726.341448768943117.303439991886435.3794575459998
25820.573439328005911.468544002846529.6783346531653
25924.433068353862815.258585953233733.6075507544918
26021.424526170193312.17774269363330.6713096467536
26118.42320954138279.1014002960094627.745018786756
26220.257034942517610.857467247677829.6566026373574
26318.32499707719468.8449328850678627.8050612693214
26423.431864618678613.868563043686932.9951661936703



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'multiplicative'
par2 <- 'Double'
par1 <- '1'
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')