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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 computationFri, 13 Jan 2017 12:09:11 +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/2017/Jan/13/t1484305827r7dinkflvq5puai.htm/, Retrieved Mon, 13 May 2024 20:45:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303217, Retrieved Mon, 13 May 2024 20:45:28 +0000
QR Codes:

Original text written by user:v9
IsPrivate?No (this computation is public)
User-defined keywordsv9
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [v9] [2017-01-13 11:09:11] [44bfb5970ea316ee311f3b9a25a26d11] [Current]
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Dataseries X:
21
22
22
18
23
12
20
22
21
19
22
15
20
19
18
15
20
21
21
15
16
23
21
18
25
9
30
20
23
16
16
19
25
18
23
21
10
14
22
26
23
23
24
24
18
23
15
19
16
25
23
17
19
21
18
27
21
13
8
29
28
23
21
19
19
20
18
19
17
19
25
19
22
23
14
16
24
20
12
24
22
12
22
20
10
23
17
22
24
18
21
20
20
22
19
20
26
23
24
21
21
19
8
17
20
11
8
15
18
18
19
19
23
22
21
25
30
17
27
23
23
18
18
23
19
15
20
16
24
25
25
19
19
16
19
19
23
21
22
19
20
20
3
23
23
20
15
16
7
24
17
24
24
19
25
20
28
23
27
18
28
21
19
23
27
22
28
25
21
22
28
20
29
25
25
20
20
16
20
20
23
18
25
18
19
25
25
25
24
19
26
10
17
13
17
30
25
4
16
21
23
22
17
20
20
22
16
23
0
18
25
23
12
18
24
11
18
23
24
29
18
15
29
16
19
22
16
23
23
19
4
20
24
20
4
24
22
16
3
15
24
17
20
27
26
23
17
20
22
19
24
19
23
15
27
26
22
22
18
15
22
27
10
20
17
23
19
13
27
23
16
25
2
26
20
23
22
24




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303217&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=303217&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303217&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0471060511854511
beta0.016340395902713
gamma0.0773810049490273

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0471060511854511 \tabularnewline
beta & 0.016340395902713 \tabularnewline
gamma & 0.0773810049490273 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303217&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]0.0471060511854511[/C][/ROW]
[ROW][C]beta[/C][C]0.016340395902713[/C][/ROW]
[ROW][C]gamma[/C][C]0.0773810049490273[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303217&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303217&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
alpha0.0471060511854511
beta0.016340395902713
gamma0.0773810049490273







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
132019.77510683760680.224893162393162
141918.95807657098560.0419234290143855
151818.3824595925234-0.382459592523446
161515.3282238811874-0.328223881187439
172020.1096236891102-0.109623689110169
182120.94290317472720.0570968252727688
192118.95074682132162.04925317867841
201521.1373437951782-6.13734379517815
211620.0585784059459-4.05857840594586
222318.07461142979244.92538857020764
232121.4759682220585-0.475968222058516
241814.12252205705153.8774779429485
252518.82705019806486.17294980193516
26918.2810530005225-9.28105300052254
273017.232134012869812.7678659871302
282014.80863840616175.1913615938383
292319.87769244520713.1223075547929
301620.8895261297298-4.88952612972982
311618.821457149606-2.82145714960604
321920.1814288519196-1.18142885191959
332519.49967207220615.5003279277939
341818.6460614392698-0.646061439269776
352321.4000400429811.59995995701899
362114.4803304763536.51966952364703
371019.4955568568142-9.49555685681418
381417.0768793311786-3.07687933117862
392217.95570252973564.04429747026439
402614.565590315844211.4344096841558
412319.78394818765093.21605181234908
422320.21729228737492.78270771262509
432418.67688260889565.32311739110438
442420.56147089249373.4385291075063
451820.6136123959301-2.61361239593014
462318.94191603541594.05808396458406
471522.1040611313229-7.10406113132288
481915.15135930085643.84864069914364
491618.8720717219544-2.87207172195442
502517.25599029399347.74400970600664
512319.19526130301063.80473869698942
521716.36422867530340.635771324696641
531920.4850530827783-1.48505308277828
542120.67851078280790.321489217192141
551819.2211048161081-1.22110481610808
562720.66504416646336.33495583353674
572120.41617964800020.583820351999833
581319.3983211619833-6.39832116198333
59821.2480829255967-13.2480829255967
602914.812065816156514.1879341838435
612818.53072037829289.46927962170716
622318.29473360649364.70526639350645
632119.81401284290371.18598715709633
641916.63755588618752.36244411381246
651920.696266575792-1.69626657579196
662021.0257496947761-1.0257496947761
671819.4028669103839-1.40286691038392
681921.406987958969-2.40698795896897
691720.3271218634121-3.32712186341208
701918.61205150526710.387948494732857
712520.28348955133254.71651044866755
721916.73763579390762.26236420609235
732219.55831327869812.44168672130193
742318.64631986698414.35368013301591
751419.8955837173471-5.89558371734713
761616.472881760362-0.472881760362029
772420.09716909144673.90283090855332
782020.742564842614-0.742564842613969
791219.108152780221-7.10815278022104
802420.76802711753823.23197288246178
812219.8888303298242.11116967017601
821218.7109434832548-6.71094348325478
832220.36875994138761.63124005861242
842016.49584659533943.50415340466062
851019.3884321925131-9.38843219251309
862318.05123493807034.94876506192969
871718.5643341451517-1.5643341451517
882215.74038377546156.25961622453846
892420.00451755201553.99548244798449
901820.3118746484469-2.31187464844688
912118.13308764369522.86691235630481
922021.0318857609743-1.03188576097427
932019.87250944788410.127490552115866
942217.9524634757994.04753652420099
951920.7422594661786-1.74225946617864
962016.85600980784673.14399019215331
972618.78818101223487.21181898776524
982319.31009756054023.68990243945983
992419.30265406030274.69734593969727
1002117.37439899571923.62560100428078
1012121.3693056377229-0.369305637722917
1021921.0244153339252-2.02441533392525
103819.2596922732987-11.2596922732987
1041721.213347177373-4.21334717737298
1052019.99493025668480.00506974331517895
1061118.3634092073673-7.36340920736728
107820.1852250708702-12.1852250708702
1081516.1557624694212-1.15576246942118
1091818.1704465870294-0.170446587029364
1101818.064352036742-0.0643520367419583
1111917.93088534690821.06911465309178
1121915.72643997091663.27356002908335
1132319.38367177892653.61632822107349
1142219.08103225534372.91896774465629
1152116.84855044809954.15144955190053
1162520.03994374029024.96005625970984
1173019.563971237021710.4360287629783
1181717.8877920254903-0.887792025490285
1192719.67139415115657.32860584884354
1202317.40172513337315.59827486662687
1212319.83972402907113.16027597092894
1221819.9334190092358-1.93341900923583
1231819.8291158187839-1.82911581878393
1242317.68209282239215.3179071776079
1251921.4938734962223-2.49387349622231
1261520.880256212798-5.88025621279798
1272018.34565302733361.6543469726664
1281621.4986160866592-5.49861608665915
1292420.94527724500943.05472275499063
1302518.092264914236.90773508577004
1312520.86077050202334.13922949797674
1321918.32266363964330.677336360356655
1331920.3546893093229-1.35468930932287
1341619.8622394299263-3.86223942992633
1351919.6754088066007-0.675408806600686
1361918.11125333958130.888746660418672
1372321.13650471226151.86349528773848
1382120.47992149385330.520078506146682
1392218.80878360083383.19121639916623
1401921.5142954953456-2.51429549534564
1412021.7421044939634-1.74210449396338
1422018.95342582084411.04657417915589
143321.2433734642714-18.2433734642714
1442317.38009261821545.61990738178462
1452319.48336235356723.51663764643284
1462019.02748690791220.972513092087802
1471519.2991095425645-4.29910954256454
1481617.6725243256539-1.67252432565386
149720.6399608888937-13.6399608888937
1502419.13304213126224.86695786873784
1511717.846002318445-0.846002318444981
1522419.91990322655544.08009677344461
1532420.49962955875663.50037044124336
1541918.15190754624770.84809245375229
1552518.99836989803526.00163010196476
1562018.04364374135321.95635625864677
1572819.82331965667228.1766803433278
1582319.40702218625033.59297781374973
1592719.4230488837877.57695111621296
1601818.5683850801712-0.568385080171151
1612820.72506706141197.27493293858814
1622121.6037527477643-0.603752747764315
1631919.6693104041558-0.669310404155816
1642322.14645213876330.853547861236748
1652722.56064553910694.43935446089315
1662220.09151372413381.90848627586616
1672821.39867040214286.60132959785721
1682520.20511612391394.79488387608612
1692122.6105541876269-1.61055418762689
1702221.42109099183460.578909008165354
1712821.61243424600466.3875657539954
1722020.1237596757034-0.123759675703369
1732922.9026825976096.09731740239103
1742523.16700945473181.83299054526822
1752521.3664500517093.633549948291
1762024.1858154437429-4.18581544374295
1772024.65039161319-4.65039161319005
1781621.5828298977003-5.58282989770026
1792022.8937329006374-2.89373290063745
1802021.1229968505403-1.12299685054032
1812322.77609407093650.223905929063541
1821821.8346369437835-3.83463694378347
1832522.2431345899062.75686541009397
1841820.0972716449608-2.09727164496078
1851923.2343857664255-4.23438576642553
1862522.68207919747072.3179208025293
1872521.02198831674433.97801168325567
1882523.26613672706291.73386327293711
1892423.96499087379540.0350091262045567
1901921.042673444584-2.04267344458405
1912622.714634899973.28536510002999
1921021.3663075014449-11.3663075014449
1931722.6290822277557-5.6290822277557
1941321.1010327797092-8.10103277970921
1951721.7796828025543-4.77968280255428
1963018.900172726227511.0998272737725
1972522.49082029030782.50917970969221
198422.7339596023262-18.7339596023262
1991620.1830447256153-4.1830447256153
2002121.8494405682817-0.849440568281722
2012322.27150735349040.728492646509562
2022219.19935962053552.80064037946455
2031721.4667683898919-4.46676838989185
2042018.64137764726811.35862235273194
2052020.9048709620262-0.904870962026173
2062219.39898332051542.60101667948461
2071620.8167993851581-4.81679938515806
2082319.09653420443963.90346579556039
209021.6993147557677-21.6993147557677
2101819.2016358493064-1.20163584930637
2112518.52894954727156.47105045272852
2122320.93065016558982.06934983441019
2131221.5964327868444-9.59643278684441
2141818.1726356612939-0.172635661293892
2152419.74375306264634.25624693735373
2161117.7451606743099-6.74516067430987
2171819.4401295053645-1.44012950536454
2182318.14723912396124.85276087603878
2192419.10560135110154.89439864889853
2202918.474698568059410.5253014319406
2211819.4955705179209-1.49557051792091
2221519.4705830212945-4.47058302129454
2232919.21670385289859.7832961471015
2241621.4594594705041-5.45945947050405
2251920.9141990760067-1.91419907600669
2262218.55686332429483.44313667570525
2271620.6373658608701-4.63736586087011
2282317.4142789743885.58572102561201
2292320.09641669844122.9035833015588
2301919.4906353956002-0.490635395600208
231420.2147305813795-16.2147305813795
2322019.00278040862420.99721959137581
2332418.67923897074315.32076102925691
2342018.75201011478181.24798988521816
235419.818967962903-15.818967962903
2362419.71249211720254.2875078827975
2372219.87601662183822.1239833781618
2381618.0952707636281-2.0952707636281
239319.3061337889303-16.3061337889303
2401516.26527997903-1.26527997903003
2412418.39974508352625.60025491647376
2421717.6456141041248-0.645614104124778
2432017.17775590188732.82224409811269
2442718.12113150201168.87886849798842
2452618.48316093740557.51683906259452
2462318.3562589601984.643741039802
2471718.3245314280033-1.32453142800331
2482020.3943585370174-0.394358537017421
2492220.18516398102981.81483601897019
2501918.08586157240780.914138427592246
2512418.40006839191465.59993160808536
2521917.52646843474571.4735315652543
2532320.3245874731112.67541252688904
2541518.9982856572235-3.99828565722348
2552718.65177295432718.34822704567288
2562620.32987091357325.67012908642675
2572220.46567350836391.53432649163611
2582219.86585827238882.1341417276112
2591819.294655546803-1.29465554680304
2601521.4533181248694-6.45331812486937
2612221.13578407301010.864215926989893
2622718.93873347847998.06126652152006
2631019.954071299113-9.95407129911296
2642018.0504943755351.94950562446501
2651720.9669972845407-3.96699728454071
2662318.83793466372694.16206533627311
2671919.7947142472704-0.794714247270381
2681320.8461240510359-7.84612405103591
2692720.03134000194296.96865999805706
2702319.72699340628193.27300659371814
2711618.9527400411307-2.95274004113069
2722520.64776929987494.35223070012514
273221.3819753287781-19.3819753287781
2742618.74947187056067.25052812943936
2752018.38520228067971.61479771932033
2762317.90017513758535.09982486241467
2772220.52710861951731.47289138048269
2782419.25617869418094.74382130581907

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 20 & 19.7751068376068 & 0.224893162393162 \tabularnewline
14 & 19 & 18.9580765709856 & 0.0419234290143855 \tabularnewline
15 & 18 & 18.3824595925234 & -0.382459592523446 \tabularnewline
16 & 15 & 15.3282238811874 & -0.328223881187439 \tabularnewline
17 & 20 & 20.1096236891102 & -0.109623689110169 \tabularnewline
18 & 21 & 20.9429031747272 & 0.0570968252727688 \tabularnewline
19 & 21 & 18.9507468213216 & 2.04925317867841 \tabularnewline
20 & 15 & 21.1373437951782 & -6.13734379517815 \tabularnewline
21 & 16 & 20.0585784059459 & -4.05857840594586 \tabularnewline
22 & 23 & 18.0746114297924 & 4.92538857020764 \tabularnewline
23 & 21 & 21.4759682220585 & -0.475968222058516 \tabularnewline
24 & 18 & 14.1225220570515 & 3.8774779429485 \tabularnewline
25 & 25 & 18.8270501980648 & 6.17294980193516 \tabularnewline
26 & 9 & 18.2810530005225 & -9.28105300052254 \tabularnewline
27 & 30 & 17.2321340128698 & 12.7678659871302 \tabularnewline
28 & 20 & 14.8086384061617 & 5.1913615938383 \tabularnewline
29 & 23 & 19.8776924452071 & 3.1223075547929 \tabularnewline
30 & 16 & 20.8895261297298 & -4.88952612972982 \tabularnewline
31 & 16 & 18.821457149606 & -2.82145714960604 \tabularnewline
32 & 19 & 20.1814288519196 & -1.18142885191959 \tabularnewline
33 & 25 & 19.4996720722061 & 5.5003279277939 \tabularnewline
34 & 18 & 18.6460614392698 & -0.646061439269776 \tabularnewline
35 & 23 & 21.400040042981 & 1.59995995701899 \tabularnewline
36 & 21 & 14.480330476353 & 6.51966952364703 \tabularnewline
37 & 10 & 19.4955568568142 & -9.49555685681418 \tabularnewline
38 & 14 & 17.0768793311786 & -3.07687933117862 \tabularnewline
39 & 22 & 17.9557025297356 & 4.04429747026439 \tabularnewline
40 & 26 & 14.5655903158442 & 11.4344096841558 \tabularnewline
41 & 23 & 19.7839481876509 & 3.21605181234908 \tabularnewline
42 & 23 & 20.2172922873749 & 2.78270771262509 \tabularnewline
43 & 24 & 18.6768826088956 & 5.32311739110438 \tabularnewline
44 & 24 & 20.5614708924937 & 3.4385291075063 \tabularnewline
45 & 18 & 20.6136123959301 & -2.61361239593014 \tabularnewline
46 & 23 & 18.9419160354159 & 4.05808396458406 \tabularnewline
47 & 15 & 22.1040611313229 & -7.10406113132288 \tabularnewline
48 & 19 & 15.1513593008564 & 3.84864069914364 \tabularnewline
49 & 16 & 18.8720717219544 & -2.87207172195442 \tabularnewline
50 & 25 & 17.2559902939934 & 7.74400970600664 \tabularnewline
51 & 23 & 19.1952613030106 & 3.80473869698942 \tabularnewline
52 & 17 & 16.3642286753034 & 0.635771324696641 \tabularnewline
53 & 19 & 20.4850530827783 & -1.48505308277828 \tabularnewline
54 & 21 & 20.6785107828079 & 0.321489217192141 \tabularnewline
55 & 18 & 19.2211048161081 & -1.22110481610808 \tabularnewline
56 & 27 & 20.6650441664633 & 6.33495583353674 \tabularnewline
57 & 21 & 20.4161796480002 & 0.583820351999833 \tabularnewline
58 & 13 & 19.3983211619833 & -6.39832116198333 \tabularnewline
59 & 8 & 21.2480829255967 & -13.2480829255967 \tabularnewline
60 & 29 & 14.8120658161565 & 14.1879341838435 \tabularnewline
61 & 28 & 18.5307203782928 & 9.46927962170716 \tabularnewline
62 & 23 & 18.2947336064936 & 4.70526639350645 \tabularnewline
63 & 21 & 19.8140128429037 & 1.18598715709633 \tabularnewline
64 & 19 & 16.6375558861875 & 2.36244411381246 \tabularnewline
65 & 19 & 20.696266575792 & -1.69626657579196 \tabularnewline
66 & 20 & 21.0257496947761 & -1.0257496947761 \tabularnewline
67 & 18 & 19.4028669103839 & -1.40286691038392 \tabularnewline
68 & 19 & 21.406987958969 & -2.40698795896897 \tabularnewline
69 & 17 & 20.3271218634121 & -3.32712186341208 \tabularnewline
70 & 19 & 18.6120515052671 & 0.387948494732857 \tabularnewline
71 & 25 & 20.2834895513325 & 4.71651044866755 \tabularnewline
72 & 19 & 16.7376357939076 & 2.26236420609235 \tabularnewline
73 & 22 & 19.5583132786981 & 2.44168672130193 \tabularnewline
74 & 23 & 18.6463198669841 & 4.35368013301591 \tabularnewline
75 & 14 & 19.8955837173471 & -5.89558371734713 \tabularnewline
76 & 16 & 16.472881760362 & -0.472881760362029 \tabularnewline
77 & 24 & 20.0971690914467 & 3.90283090855332 \tabularnewline
78 & 20 & 20.742564842614 & -0.742564842613969 \tabularnewline
79 & 12 & 19.108152780221 & -7.10815278022104 \tabularnewline
80 & 24 & 20.7680271175382 & 3.23197288246178 \tabularnewline
81 & 22 & 19.888830329824 & 2.11116967017601 \tabularnewline
82 & 12 & 18.7109434832548 & -6.71094348325478 \tabularnewline
83 & 22 & 20.3687599413876 & 1.63124005861242 \tabularnewline
84 & 20 & 16.4958465953394 & 3.50415340466062 \tabularnewline
85 & 10 & 19.3884321925131 & -9.38843219251309 \tabularnewline
86 & 23 & 18.0512349380703 & 4.94876506192969 \tabularnewline
87 & 17 & 18.5643341451517 & -1.5643341451517 \tabularnewline
88 & 22 & 15.7403837754615 & 6.25961622453846 \tabularnewline
89 & 24 & 20.0045175520155 & 3.99548244798449 \tabularnewline
90 & 18 & 20.3118746484469 & -2.31187464844688 \tabularnewline
91 & 21 & 18.1330876436952 & 2.86691235630481 \tabularnewline
92 & 20 & 21.0318857609743 & -1.03188576097427 \tabularnewline
93 & 20 & 19.8725094478841 & 0.127490552115866 \tabularnewline
94 & 22 & 17.952463475799 & 4.04753652420099 \tabularnewline
95 & 19 & 20.7422594661786 & -1.74225946617864 \tabularnewline
96 & 20 & 16.8560098078467 & 3.14399019215331 \tabularnewline
97 & 26 & 18.7881810122348 & 7.21181898776524 \tabularnewline
98 & 23 & 19.3100975605402 & 3.68990243945983 \tabularnewline
99 & 24 & 19.3026540603027 & 4.69734593969727 \tabularnewline
100 & 21 & 17.3743989957192 & 3.62560100428078 \tabularnewline
101 & 21 & 21.3693056377229 & -0.369305637722917 \tabularnewline
102 & 19 & 21.0244153339252 & -2.02441533392525 \tabularnewline
103 & 8 & 19.2596922732987 & -11.2596922732987 \tabularnewline
104 & 17 & 21.213347177373 & -4.21334717737298 \tabularnewline
105 & 20 & 19.9949302566848 & 0.00506974331517895 \tabularnewline
106 & 11 & 18.3634092073673 & -7.36340920736728 \tabularnewline
107 & 8 & 20.1852250708702 & -12.1852250708702 \tabularnewline
108 & 15 & 16.1557624694212 & -1.15576246942118 \tabularnewline
109 & 18 & 18.1704465870294 & -0.170446587029364 \tabularnewline
110 & 18 & 18.064352036742 & -0.0643520367419583 \tabularnewline
111 & 19 & 17.9308853469082 & 1.06911465309178 \tabularnewline
112 & 19 & 15.7264399709166 & 3.27356002908335 \tabularnewline
113 & 23 & 19.3836717789265 & 3.61632822107349 \tabularnewline
114 & 22 & 19.0810322553437 & 2.91896774465629 \tabularnewline
115 & 21 & 16.8485504480995 & 4.15144955190053 \tabularnewline
116 & 25 & 20.0399437402902 & 4.96005625970984 \tabularnewline
117 & 30 & 19.5639712370217 & 10.4360287629783 \tabularnewline
118 & 17 & 17.8877920254903 & -0.887792025490285 \tabularnewline
119 & 27 & 19.6713941511565 & 7.32860584884354 \tabularnewline
120 & 23 & 17.4017251333731 & 5.59827486662687 \tabularnewline
121 & 23 & 19.8397240290711 & 3.16027597092894 \tabularnewline
122 & 18 & 19.9334190092358 & -1.93341900923583 \tabularnewline
123 & 18 & 19.8291158187839 & -1.82911581878393 \tabularnewline
124 & 23 & 17.6820928223921 & 5.3179071776079 \tabularnewline
125 & 19 & 21.4938734962223 & -2.49387349622231 \tabularnewline
126 & 15 & 20.880256212798 & -5.88025621279798 \tabularnewline
127 & 20 & 18.3456530273336 & 1.6543469726664 \tabularnewline
128 & 16 & 21.4986160866592 & -5.49861608665915 \tabularnewline
129 & 24 & 20.9452772450094 & 3.05472275499063 \tabularnewline
130 & 25 & 18.09226491423 & 6.90773508577004 \tabularnewline
131 & 25 & 20.8607705020233 & 4.13922949797674 \tabularnewline
132 & 19 & 18.3226636396433 & 0.677336360356655 \tabularnewline
133 & 19 & 20.3546893093229 & -1.35468930932287 \tabularnewline
134 & 16 & 19.8622394299263 & -3.86223942992633 \tabularnewline
135 & 19 & 19.6754088066007 & -0.675408806600686 \tabularnewline
136 & 19 & 18.1112533395813 & 0.888746660418672 \tabularnewline
137 & 23 & 21.1365047122615 & 1.86349528773848 \tabularnewline
138 & 21 & 20.4799214938533 & 0.520078506146682 \tabularnewline
139 & 22 & 18.8087836008338 & 3.19121639916623 \tabularnewline
140 & 19 & 21.5142954953456 & -2.51429549534564 \tabularnewline
141 & 20 & 21.7421044939634 & -1.74210449396338 \tabularnewline
142 & 20 & 18.9534258208441 & 1.04657417915589 \tabularnewline
143 & 3 & 21.2433734642714 & -18.2433734642714 \tabularnewline
144 & 23 & 17.3800926182154 & 5.61990738178462 \tabularnewline
145 & 23 & 19.4833623535672 & 3.51663764643284 \tabularnewline
146 & 20 & 19.0274869079122 & 0.972513092087802 \tabularnewline
147 & 15 & 19.2991095425645 & -4.29910954256454 \tabularnewline
148 & 16 & 17.6725243256539 & -1.67252432565386 \tabularnewline
149 & 7 & 20.6399608888937 & -13.6399608888937 \tabularnewline
150 & 24 & 19.1330421312622 & 4.86695786873784 \tabularnewline
151 & 17 & 17.846002318445 & -0.846002318444981 \tabularnewline
152 & 24 & 19.9199032265554 & 4.08009677344461 \tabularnewline
153 & 24 & 20.4996295587566 & 3.50037044124336 \tabularnewline
154 & 19 & 18.1519075462477 & 0.84809245375229 \tabularnewline
155 & 25 & 18.9983698980352 & 6.00163010196476 \tabularnewline
156 & 20 & 18.0436437413532 & 1.95635625864677 \tabularnewline
157 & 28 & 19.8233196566722 & 8.1766803433278 \tabularnewline
158 & 23 & 19.4070221862503 & 3.59297781374973 \tabularnewline
159 & 27 & 19.423048883787 & 7.57695111621296 \tabularnewline
160 & 18 & 18.5683850801712 & -0.568385080171151 \tabularnewline
161 & 28 & 20.7250670614119 & 7.27493293858814 \tabularnewline
162 & 21 & 21.6037527477643 & -0.603752747764315 \tabularnewline
163 & 19 & 19.6693104041558 & -0.669310404155816 \tabularnewline
164 & 23 & 22.1464521387633 & 0.853547861236748 \tabularnewline
165 & 27 & 22.5606455391069 & 4.43935446089315 \tabularnewline
166 & 22 & 20.0915137241338 & 1.90848627586616 \tabularnewline
167 & 28 & 21.3986704021428 & 6.60132959785721 \tabularnewline
168 & 25 & 20.2051161239139 & 4.79488387608612 \tabularnewline
169 & 21 & 22.6105541876269 & -1.61055418762689 \tabularnewline
170 & 22 & 21.4210909918346 & 0.578909008165354 \tabularnewline
171 & 28 & 21.6124342460046 & 6.3875657539954 \tabularnewline
172 & 20 & 20.1237596757034 & -0.123759675703369 \tabularnewline
173 & 29 & 22.902682597609 & 6.09731740239103 \tabularnewline
174 & 25 & 23.1670094547318 & 1.83299054526822 \tabularnewline
175 & 25 & 21.366450051709 & 3.633549948291 \tabularnewline
176 & 20 & 24.1858154437429 & -4.18581544374295 \tabularnewline
177 & 20 & 24.65039161319 & -4.65039161319005 \tabularnewline
178 & 16 & 21.5828298977003 & -5.58282989770026 \tabularnewline
179 & 20 & 22.8937329006374 & -2.89373290063745 \tabularnewline
180 & 20 & 21.1229968505403 & -1.12299685054032 \tabularnewline
181 & 23 & 22.7760940709365 & 0.223905929063541 \tabularnewline
182 & 18 & 21.8346369437835 & -3.83463694378347 \tabularnewline
183 & 25 & 22.243134589906 & 2.75686541009397 \tabularnewline
184 & 18 & 20.0972716449608 & -2.09727164496078 \tabularnewline
185 & 19 & 23.2343857664255 & -4.23438576642553 \tabularnewline
186 & 25 & 22.6820791974707 & 2.3179208025293 \tabularnewline
187 & 25 & 21.0219883167443 & 3.97801168325567 \tabularnewline
188 & 25 & 23.2661367270629 & 1.73386327293711 \tabularnewline
189 & 24 & 23.9649908737954 & 0.0350091262045567 \tabularnewline
190 & 19 & 21.042673444584 & -2.04267344458405 \tabularnewline
191 & 26 & 22.71463489997 & 3.28536510002999 \tabularnewline
192 & 10 & 21.3663075014449 & -11.3663075014449 \tabularnewline
193 & 17 & 22.6290822277557 & -5.6290822277557 \tabularnewline
194 & 13 & 21.1010327797092 & -8.10103277970921 \tabularnewline
195 & 17 & 21.7796828025543 & -4.77968280255428 \tabularnewline
196 & 30 & 18.9001727262275 & 11.0998272737725 \tabularnewline
197 & 25 & 22.4908202903078 & 2.50917970969221 \tabularnewline
198 & 4 & 22.7339596023262 & -18.7339596023262 \tabularnewline
199 & 16 & 20.1830447256153 & -4.1830447256153 \tabularnewline
200 & 21 & 21.8494405682817 & -0.849440568281722 \tabularnewline
201 & 23 & 22.2715073534904 & 0.728492646509562 \tabularnewline
202 & 22 & 19.1993596205355 & 2.80064037946455 \tabularnewline
203 & 17 & 21.4667683898919 & -4.46676838989185 \tabularnewline
204 & 20 & 18.6413776472681 & 1.35862235273194 \tabularnewline
205 & 20 & 20.9048709620262 & -0.904870962026173 \tabularnewline
206 & 22 & 19.3989833205154 & 2.60101667948461 \tabularnewline
207 & 16 & 20.8167993851581 & -4.81679938515806 \tabularnewline
208 & 23 & 19.0965342044396 & 3.90346579556039 \tabularnewline
209 & 0 & 21.6993147557677 & -21.6993147557677 \tabularnewline
210 & 18 & 19.2016358493064 & -1.20163584930637 \tabularnewline
211 & 25 & 18.5289495472715 & 6.47105045272852 \tabularnewline
212 & 23 & 20.9306501655898 & 2.06934983441019 \tabularnewline
213 & 12 & 21.5964327868444 & -9.59643278684441 \tabularnewline
214 & 18 & 18.1726356612939 & -0.172635661293892 \tabularnewline
215 & 24 & 19.7437530626463 & 4.25624693735373 \tabularnewline
216 & 11 & 17.7451606743099 & -6.74516067430987 \tabularnewline
217 & 18 & 19.4401295053645 & -1.44012950536454 \tabularnewline
218 & 23 & 18.1472391239612 & 4.85276087603878 \tabularnewline
219 & 24 & 19.1056013511015 & 4.89439864889853 \tabularnewline
220 & 29 & 18.4746985680594 & 10.5253014319406 \tabularnewline
221 & 18 & 19.4955705179209 & -1.49557051792091 \tabularnewline
222 & 15 & 19.4705830212945 & -4.47058302129454 \tabularnewline
223 & 29 & 19.2167038528985 & 9.7832961471015 \tabularnewline
224 & 16 & 21.4594594705041 & -5.45945947050405 \tabularnewline
225 & 19 & 20.9141990760067 & -1.91419907600669 \tabularnewline
226 & 22 & 18.5568633242948 & 3.44313667570525 \tabularnewline
227 & 16 & 20.6373658608701 & -4.63736586087011 \tabularnewline
228 & 23 & 17.414278974388 & 5.58572102561201 \tabularnewline
229 & 23 & 20.0964166984412 & 2.9035833015588 \tabularnewline
230 & 19 & 19.4906353956002 & -0.490635395600208 \tabularnewline
231 & 4 & 20.2147305813795 & -16.2147305813795 \tabularnewline
232 & 20 & 19.0027804086242 & 0.99721959137581 \tabularnewline
233 & 24 & 18.6792389707431 & 5.32076102925691 \tabularnewline
234 & 20 & 18.7520101147818 & 1.24798988521816 \tabularnewline
235 & 4 & 19.818967962903 & -15.818967962903 \tabularnewline
236 & 24 & 19.7124921172025 & 4.2875078827975 \tabularnewline
237 & 22 & 19.8760166218382 & 2.1239833781618 \tabularnewline
238 & 16 & 18.0952707636281 & -2.0952707636281 \tabularnewline
239 & 3 & 19.3061337889303 & -16.3061337889303 \tabularnewline
240 & 15 & 16.26527997903 & -1.26527997903003 \tabularnewline
241 & 24 & 18.3997450835262 & 5.60025491647376 \tabularnewline
242 & 17 & 17.6456141041248 & -0.645614104124778 \tabularnewline
243 & 20 & 17.1777559018873 & 2.82224409811269 \tabularnewline
244 & 27 & 18.1211315020116 & 8.87886849798842 \tabularnewline
245 & 26 & 18.4831609374055 & 7.51683906259452 \tabularnewline
246 & 23 & 18.356258960198 & 4.643741039802 \tabularnewline
247 & 17 & 18.3245314280033 & -1.32453142800331 \tabularnewline
248 & 20 & 20.3943585370174 & -0.394358537017421 \tabularnewline
249 & 22 & 20.1851639810298 & 1.81483601897019 \tabularnewline
250 & 19 & 18.0858615724078 & 0.914138427592246 \tabularnewline
251 & 24 & 18.4000683919146 & 5.59993160808536 \tabularnewline
252 & 19 & 17.5264684347457 & 1.4735315652543 \tabularnewline
253 & 23 & 20.324587473111 & 2.67541252688904 \tabularnewline
254 & 15 & 18.9982856572235 & -3.99828565722348 \tabularnewline
255 & 27 & 18.6517729543271 & 8.34822704567288 \tabularnewline
256 & 26 & 20.3298709135732 & 5.67012908642675 \tabularnewline
257 & 22 & 20.4656735083639 & 1.53432649163611 \tabularnewline
258 & 22 & 19.8658582723888 & 2.1341417276112 \tabularnewline
259 & 18 & 19.294655546803 & -1.29465554680304 \tabularnewline
260 & 15 & 21.4533181248694 & -6.45331812486937 \tabularnewline
261 & 22 & 21.1357840730101 & 0.864215926989893 \tabularnewline
262 & 27 & 18.9387334784799 & 8.06126652152006 \tabularnewline
263 & 10 & 19.954071299113 & -9.95407129911296 \tabularnewline
264 & 20 & 18.050494375535 & 1.94950562446501 \tabularnewline
265 & 17 & 20.9669972845407 & -3.96699728454071 \tabularnewline
266 & 23 & 18.8379346637269 & 4.16206533627311 \tabularnewline
267 & 19 & 19.7947142472704 & -0.794714247270381 \tabularnewline
268 & 13 & 20.8461240510359 & -7.84612405103591 \tabularnewline
269 & 27 & 20.0313400019429 & 6.96865999805706 \tabularnewline
270 & 23 & 19.7269934062819 & 3.27300659371814 \tabularnewline
271 & 16 & 18.9527400411307 & -2.95274004113069 \tabularnewline
272 & 25 & 20.6477692998749 & 4.35223070012514 \tabularnewline
273 & 2 & 21.3819753287781 & -19.3819753287781 \tabularnewline
274 & 26 & 18.7494718705606 & 7.25052812943936 \tabularnewline
275 & 20 & 18.3852022806797 & 1.61479771932033 \tabularnewline
276 & 23 & 17.9001751375853 & 5.09982486241467 \tabularnewline
277 & 22 & 20.5271086195173 & 1.47289138048269 \tabularnewline
278 & 24 & 19.2561786941809 & 4.74382130581907 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303217&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]20[/C][C]19.7751068376068[/C][C]0.224893162393162[/C][/ROW]
[ROW][C]14[/C][C]19[/C][C]18.9580765709856[/C][C]0.0419234290143855[/C][/ROW]
[ROW][C]15[/C][C]18[/C][C]18.3824595925234[/C][C]-0.382459592523446[/C][/ROW]
[ROW][C]16[/C][C]15[/C][C]15.3282238811874[/C][C]-0.328223881187439[/C][/ROW]
[ROW][C]17[/C][C]20[/C][C]20.1096236891102[/C][C]-0.109623689110169[/C][/ROW]
[ROW][C]18[/C][C]21[/C][C]20.9429031747272[/C][C]0.0570968252727688[/C][/ROW]
[ROW][C]19[/C][C]21[/C][C]18.9507468213216[/C][C]2.04925317867841[/C][/ROW]
[ROW][C]20[/C][C]15[/C][C]21.1373437951782[/C][C]-6.13734379517815[/C][/ROW]
[ROW][C]21[/C][C]16[/C][C]20.0585784059459[/C][C]-4.05857840594586[/C][/ROW]
[ROW][C]22[/C][C]23[/C][C]18.0746114297924[/C][C]4.92538857020764[/C][/ROW]
[ROW][C]23[/C][C]21[/C][C]21.4759682220585[/C][C]-0.475968222058516[/C][/ROW]
[ROW][C]24[/C][C]18[/C][C]14.1225220570515[/C][C]3.8774779429485[/C][/ROW]
[ROW][C]25[/C][C]25[/C][C]18.8270501980648[/C][C]6.17294980193516[/C][/ROW]
[ROW][C]26[/C][C]9[/C][C]18.2810530005225[/C][C]-9.28105300052254[/C][/ROW]
[ROW][C]27[/C][C]30[/C][C]17.2321340128698[/C][C]12.7678659871302[/C][/ROW]
[ROW][C]28[/C][C]20[/C][C]14.8086384061617[/C][C]5.1913615938383[/C][/ROW]
[ROW][C]29[/C][C]23[/C][C]19.8776924452071[/C][C]3.1223075547929[/C][/ROW]
[ROW][C]30[/C][C]16[/C][C]20.8895261297298[/C][C]-4.88952612972982[/C][/ROW]
[ROW][C]31[/C][C]16[/C][C]18.821457149606[/C][C]-2.82145714960604[/C][/ROW]
[ROW][C]32[/C][C]19[/C][C]20.1814288519196[/C][C]-1.18142885191959[/C][/ROW]
[ROW][C]33[/C][C]25[/C][C]19.4996720722061[/C][C]5.5003279277939[/C][/ROW]
[ROW][C]34[/C][C]18[/C][C]18.6460614392698[/C][C]-0.646061439269776[/C][/ROW]
[ROW][C]35[/C][C]23[/C][C]21.400040042981[/C][C]1.59995995701899[/C][/ROW]
[ROW][C]36[/C][C]21[/C][C]14.480330476353[/C][C]6.51966952364703[/C][/ROW]
[ROW][C]37[/C][C]10[/C][C]19.4955568568142[/C][C]-9.49555685681418[/C][/ROW]
[ROW][C]38[/C][C]14[/C][C]17.0768793311786[/C][C]-3.07687933117862[/C][/ROW]
[ROW][C]39[/C][C]22[/C][C]17.9557025297356[/C][C]4.04429747026439[/C][/ROW]
[ROW][C]40[/C][C]26[/C][C]14.5655903158442[/C][C]11.4344096841558[/C][/ROW]
[ROW][C]41[/C][C]23[/C][C]19.7839481876509[/C][C]3.21605181234908[/C][/ROW]
[ROW][C]42[/C][C]23[/C][C]20.2172922873749[/C][C]2.78270771262509[/C][/ROW]
[ROW][C]43[/C][C]24[/C][C]18.6768826088956[/C][C]5.32311739110438[/C][/ROW]
[ROW][C]44[/C][C]24[/C][C]20.5614708924937[/C][C]3.4385291075063[/C][/ROW]
[ROW][C]45[/C][C]18[/C][C]20.6136123959301[/C][C]-2.61361239593014[/C][/ROW]
[ROW][C]46[/C][C]23[/C][C]18.9419160354159[/C][C]4.05808396458406[/C][/ROW]
[ROW][C]47[/C][C]15[/C][C]22.1040611313229[/C][C]-7.10406113132288[/C][/ROW]
[ROW][C]48[/C][C]19[/C][C]15.1513593008564[/C][C]3.84864069914364[/C][/ROW]
[ROW][C]49[/C][C]16[/C][C]18.8720717219544[/C][C]-2.87207172195442[/C][/ROW]
[ROW][C]50[/C][C]25[/C][C]17.2559902939934[/C][C]7.74400970600664[/C][/ROW]
[ROW][C]51[/C][C]23[/C][C]19.1952613030106[/C][C]3.80473869698942[/C][/ROW]
[ROW][C]52[/C][C]17[/C][C]16.3642286753034[/C][C]0.635771324696641[/C][/ROW]
[ROW][C]53[/C][C]19[/C][C]20.4850530827783[/C][C]-1.48505308277828[/C][/ROW]
[ROW][C]54[/C][C]21[/C][C]20.6785107828079[/C][C]0.321489217192141[/C][/ROW]
[ROW][C]55[/C][C]18[/C][C]19.2211048161081[/C][C]-1.22110481610808[/C][/ROW]
[ROW][C]56[/C][C]27[/C][C]20.6650441664633[/C][C]6.33495583353674[/C][/ROW]
[ROW][C]57[/C][C]21[/C][C]20.4161796480002[/C][C]0.583820351999833[/C][/ROW]
[ROW][C]58[/C][C]13[/C][C]19.3983211619833[/C][C]-6.39832116198333[/C][/ROW]
[ROW][C]59[/C][C]8[/C][C]21.2480829255967[/C][C]-13.2480829255967[/C][/ROW]
[ROW][C]60[/C][C]29[/C][C]14.8120658161565[/C][C]14.1879341838435[/C][/ROW]
[ROW][C]61[/C][C]28[/C][C]18.5307203782928[/C][C]9.46927962170716[/C][/ROW]
[ROW][C]62[/C][C]23[/C][C]18.2947336064936[/C][C]4.70526639350645[/C][/ROW]
[ROW][C]63[/C][C]21[/C][C]19.8140128429037[/C][C]1.18598715709633[/C][/ROW]
[ROW][C]64[/C][C]19[/C][C]16.6375558861875[/C][C]2.36244411381246[/C][/ROW]
[ROW][C]65[/C][C]19[/C][C]20.696266575792[/C][C]-1.69626657579196[/C][/ROW]
[ROW][C]66[/C][C]20[/C][C]21.0257496947761[/C][C]-1.0257496947761[/C][/ROW]
[ROW][C]67[/C][C]18[/C][C]19.4028669103839[/C][C]-1.40286691038392[/C][/ROW]
[ROW][C]68[/C][C]19[/C][C]21.406987958969[/C][C]-2.40698795896897[/C][/ROW]
[ROW][C]69[/C][C]17[/C][C]20.3271218634121[/C][C]-3.32712186341208[/C][/ROW]
[ROW][C]70[/C][C]19[/C][C]18.6120515052671[/C][C]0.387948494732857[/C][/ROW]
[ROW][C]71[/C][C]25[/C][C]20.2834895513325[/C][C]4.71651044866755[/C][/ROW]
[ROW][C]72[/C][C]19[/C][C]16.7376357939076[/C][C]2.26236420609235[/C][/ROW]
[ROW][C]73[/C][C]22[/C][C]19.5583132786981[/C][C]2.44168672130193[/C][/ROW]
[ROW][C]74[/C][C]23[/C][C]18.6463198669841[/C][C]4.35368013301591[/C][/ROW]
[ROW][C]75[/C][C]14[/C][C]19.8955837173471[/C][C]-5.89558371734713[/C][/ROW]
[ROW][C]76[/C][C]16[/C][C]16.472881760362[/C][C]-0.472881760362029[/C][/ROW]
[ROW][C]77[/C][C]24[/C][C]20.0971690914467[/C][C]3.90283090855332[/C][/ROW]
[ROW][C]78[/C][C]20[/C][C]20.742564842614[/C][C]-0.742564842613969[/C][/ROW]
[ROW][C]79[/C][C]12[/C][C]19.108152780221[/C][C]-7.10815278022104[/C][/ROW]
[ROW][C]80[/C][C]24[/C][C]20.7680271175382[/C][C]3.23197288246178[/C][/ROW]
[ROW][C]81[/C][C]22[/C][C]19.888830329824[/C][C]2.11116967017601[/C][/ROW]
[ROW][C]82[/C][C]12[/C][C]18.7109434832548[/C][C]-6.71094348325478[/C][/ROW]
[ROW][C]83[/C][C]22[/C][C]20.3687599413876[/C][C]1.63124005861242[/C][/ROW]
[ROW][C]84[/C][C]20[/C][C]16.4958465953394[/C][C]3.50415340466062[/C][/ROW]
[ROW][C]85[/C][C]10[/C][C]19.3884321925131[/C][C]-9.38843219251309[/C][/ROW]
[ROW][C]86[/C][C]23[/C][C]18.0512349380703[/C][C]4.94876506192969[/C][/ROW]
[ROW][C]87[/C][C]17[/C][C]18.5643341451517[/C][C]-1.5643341451517[/C][/ROW]
[ROW][C]88[/C][C]22[/C][C]15.7403837754615[/C][C]6.25961622453846[/C][/ROW]
[ROW][C]89[/C][C]24[/C][C]20.0045175520155[/C][C]3.99548244798449[/C][/ROW]
[ROW][C]90[/C][C]18[/C][C]20.3118746484469[/C][C]-2.31187464844688[/C][/ROW]
[ROW][C]91[/C][C]21[/C][C]18.1330876436952[/C][C]2.86691235630481[/C][/ROW]
[ROW][C]92[/C][C]20[/C][C]21.0318857609743[/C][C]-1.03188576097427[/C][/ROW]
[ROW][C]93[/C][C]20[/C][C]19.8725094478841[/C][C]0.127490552115866[/C][/ROW]
[ROW][C]94[/C][C]22[/C][C]17.952463475799[/C][C]4.04753652420099[/C][/ROW]
[ROW][C]95[/C][C]19[/C][C]20.7422594661786[/C][C]-1.74225946617864[/C][/ROW]
[ROW][C]96[/C][C]20[/C][C]16.8560098078467[/C][C]3.14399019215331[/C][/ROW]
[ROW][C]97[/C][C]26[/C][C]18.7881810122348[/C][C]7.21181898776524[/C][/ROW]
[ROW][C]98[/C][C]23[/C][C]19.3100975605402[/C][C]3.68990243945983[/C][/ROW]
[ROW][C]99[/C][C]24[/C][C]19.3026540603027[/C][C]4.69734593969727[/C][/ROW]
[ROW][C]100[/C][C]21[/C][C]17.3743989957192[/C][C]3.62560100428078[/C][/ROW]
[ROW][C]101[/C][C]21[/C][C]21.3693056377229[/C][C]-0.369305637722917[/C][/ROW]
[ROW][C]102[/C][C]19[/C][C]21.0244153339252[/C][C]-2.02441533392525[/C][/ROW]
[ROW][C]103[/C][C]8[/C][C]19.2596922732987[/C][C]-11.2596922732987[/C][/ROW]
[ROW][C]104[/C][C]17[/C][C]21.213347177373[/C][C]-4.21334717737298[/C][/ROW]
[ROW][C]105[/C][C]20[/C][C]19.9949302566848[/C][C]0.00506974331517895[/C][/ROW]
[ROW][C]106[/C][C]11[/C][C]18.3634092073673[/C][C]-7.36340920736728[/C][/ROW]
[ROW][C]107[/C][C]8[/C][C]20.1852250708702[/C][C]-12.1852250708702[/C][/ROW]
[ROW][C]108[/C][C]15[/C][C]16.1557624694212[/C][C]-1.15576246942118[/C][/ROW]
[ROW][C]109[/C][C]18[/C][C]18.1704465870294[/C][C]-0.170446587029364[/C][/ROW]
[ROW][C]110[/C][C]18[/C][C]18.064352036742[/C][C]-0.0643520367419583[/C][/ROW]
[ROW][C]111[/C][C]19[/C][C]17.9308853469082[/C][C]1.06911465309178[/C][/ROW]
[ROW][C]112[/C][C]19[/C][C]15.7264399709166[/C][C]3.27356002908335[/C][/ROW]
[ROW][C]113[/C][C]23[/C][C]19.3836717789265[/C][C]3.61632822107349[/C][/ROW]
[ROW][C]114[/C][C]22[/C][C]19.0810322553437[/C][C]2.91896774465629[/C][/ROW]
[ROW][C]115[/C][C]21[/C][C]16.8485504480995[/C][C]4.15144955190053[/C][/ROW]
[ROW][C]116[/C][C]25[/C][C]20.0399437402902[/C][C]4.96005625970984[/C][/ROW]
[ROW][C]117[/C][C]30[/C][C]19.5639712370217[/C][C]10.4360287629783[/C][/ROW]
[ROW][C]118[/C][C]17[/C][C]17.8877920254903[/C][C]-0.887792025490285[/C][/ROW]
[ROW][C]119[/C][C]27[/C][C]19.6713941511565[/C][C]7.32860584884354[/C][/ROW]
[ROW][C]120[/C][C]23[/C][C]17.4017251333731[/C][C]5.59827486662687[/C][/ROW]
[ROW][C]121[/C][C]23[/C][C]19.8397240290711[/C][C]3.16027597092894[/C][/ROW]
[ROW][C]122[/C][C]18[/C][C]19.9334190092358[/C][C]-1.93341900923583[/C][/ROW]
[ROW][C]123[/C][C]18[/C][C]19.8291158187839[/C][C]-1.82911581878393[/C][/ROW]
[ROW][C]124[/C][C]23[/C][C]17.6820928223921[/C][C]5.3179071776079[/C][/ROW]
[ROW][C]125[/C][C]19[/C][C]21.4938734962223[/C][C]-2.49387349622231[/C][/ROW]
[ROW][C]126[/C][C]15[/C][C]20.880256212798[/C][C]-5.88025621279798[/C][/ROW]
[ROW][C]127[/C][C]20[/C][C]18.3456530273336[/C][C]1.6543469726664[/C][/ROW]
[ROW][C]128[/C][C]16[/C][C]21.4986160866592[/C][C]-5.49861608665915[/C][/ROW]
[ROW][C]129[/C][C]24[/C][C]20.9452772450094[/C][C]3.05472275499063[/C][/ROW]
[ROW][C]130[/C][C]25[/C][C]18.09226491423[/C][C]6.90773508577004[/C][/ROW]
[ROW][C]131[/C][C]25[/C][C]20.8607705020233[/C][C]4.13922949797674[/C][/ROW]
[ROW][C]132[/C][C]19[/C][C]18.3226636396433[/C][C]0.677336360356655[/C][/ROW]
[ROW][C]133[/C][C]19[/C][C]20.3546893093229[/C][C]-1.35468930932287[/C][/ROW]
[ROW][C]134[/C][C]16[/C][C]19.8622394299263[/C][C]-3.86223942992633[/C][/ROW]
[ROW][C]135[/C][C]19[/C][C]19.6754088066007[/C][C]-0.675408806600686[/C][/ROW]
[ROW][C]136[/C][C]19[/C][C]18.1112533395813[/C][C]0.888746660418672[/C][/ROW]
[ROW][C]137[/C][C]23[/C][C]21.1365047122615[/C][C]1.86349528773848[/C][/ROW]
[ROW][C]138[/C][C]21[/C][C]20.4799214938533[/C][C]0.520078506146682[/C][/ROW]
[ROW][C]139[/C][C]22[/C][C]18.8087836008338[/C][C]3.19121639916623[/C][/ROW]
[ROW][C]140[/C][C]19[/C][C]21.5142954953456[/C][C]-2.51429549534564[/C][/ROW]
[ROW][C]141[/C][C]20[/C][C]21.7421044939634[/C][C]-1.74210449396338[/C][/ROW]
[ROW][C]142[/C][C]20[/C][C]18.9534258208441[/C][C]1.04657417915589[/C][/ROW]
[ROW][C]143[/C][C]3[/C][C]21.2433734642714[/C][C]-18.2433734642714[/C][/ROW]
[ROW][C]144[/C][C]23[/C][C]17.3800926182154[/C][C]5.61990738178462[/C][/ROW]
[ROW][C]145[/C][C]23[/C][C]19.4833623535672[/C][C]3.51663764643284[/C][/ROW]
[ROW][C]146[/C][C]20[/C][C]19.0274869079122[/C][C]0.972513092087802[/C][/ROW]
[ROW][C]147[/C][C]15[/C][C]19.2991095425645[/C][C]-4.29910954256454[/C][/ROW]
[ROW][C]148[/C][C]16[/C][C]17.6725243256539[/C][C]-1.67252432565386[/C][/ROW]
[ROW][C]149[/C][C]7[/C][C]20.6399608888937[/C][C]-13.6399608888937[/C][/ROW]
[ROW][C]150[/C][C]24[/C][C]19.1330421312622[/C][C]4.86695786873784[/C][/ROW]
[ROW][C]151[/C][C]17[/C][C]17.846002318445[/C][C]-0.846002318444981[/C][/ROW]
[ROW][C]152[/C][C]24[/C][C]19.9199032265554[/C][C]4.08009677344461[/C][/ROW]
[ROW][C]153[/C][C]24[/C][C]20.4996295587566[/C][C]3.50037044124336[/C][/ROW]
[ROW][C]154[/C][C]19[/C][C]18.1519075462477[/C][C]0.84809245375229[/C][/ROW]
[ROW][C]155[/C][C]25[/C][C]18.9983698980352[/C][C]6.00163010196476[/C][/ROW]
[ROW][C]156[/C][C]20[/C][C]18.0436437413532[/C][C]1.95635625864677[/C][/ROW]
[ROW][C]157[/C][C]28[/C][C]19.8233196566722[/C][C]8.1766803433278[/C][/ROW]
[ROW][C]158[/C][C]23[/C][C]19.4070221862503[/C][C]3.59297781374973[/C][/ROW]
[ROW][C]159[/C][C]27[/C][C]19.423048883787[/C][C]7.57695111621296[/C][/ROW]
[ROW][C]160[/C][C]18[/C][C]18.5683850801712[/C][C]-0.568385080171151[/C][/ROW]
[ROW][C]161[/C][C]28[/C][C]20.7250670614119[/C][C]7.27493293858814[/C][/ROW]
[ROW][C]162[/C][C]21[/C][C]21.6037527477643[/C][C]-0.603752747764315[/C][/ROW]
[ROW][C]163[/C][C]19[/C][C]19.6693104041558[/C][C]-0.669310404155816[/C][/ROW]
[ROW][C]164[/C][C]23[/C][C]22.1464521387633[/C][C]0.853547861236748[/C][/ROW]
[ROW][C]165[/C][C]27[/C][C]22.5606455391069[/C][C]4.43935446089315[/C][/ROW]
[ROW][C]166[/C][C]22[/C][C]20.0915137241338[/C][C]1.90848627586616[/C][/ROW]
[ROW][C]167[/C][C]28[/C][C]21.3986704021428[/C][C]6.60132959785721[/C][/ROW]
[ROW][C]168[/C][C]25[/C][C]20.2051161239139[/C][C]4.79488387608612[/C][/ROW]
[ROW][C]169[/C][C]21[/C][C]22.6105541876269[/C][C]-1.61055418762689[/C][/ROW]
[ROW][C]170[/C][C]22[/C][C]21.4210909918346[/C][C]0.578909008165354[/C][/ROW]
[ROW][C]171[/C][C]28[/C][C]21.6124342460046[/C][C]6.3875657539954[/C][/ROW]
[ROW][C]172[/C][C]20[/C][C]20.1237596757034[/C][C]-0.123759675703369[/C][/ROW]
[ROW][C]173[/C][C]29[/C][C]22.902682597609[/C][C]6.09731740239103[/C][/ROW]
[ROW][C]174[/C][C]25[/C][C]23.1670094547318[/C][C]1.83299054526822[/C][/ROW]
[ROW][C]175[/C][C]25[/C][C]21.366450051709[/C][C]3.633549948291[/C][/ROW]
[ROW][C]176[/C][C]20[/C][C]24.1858154437429[/C][C]-4.18581544374295[/C][/ROW]
[ROW][C]177[/C][C]20[/C][C]24.65039161319[/C][C]-4.65039161319005[/C][/ROW]
[ROW][C]178[/C][C]16[/C][C]21.5828298977003[/C][C]-5.58282989770026[/C][/ROW]
[ROW][C]179[/C][C]20[/C][C]22.8937329006374[/C][C]-2.89373290063745[/C][/ROW]
[ROW][C]180[/C][C]20[/C][C]21.1229968505403[/C][C]-1.12299685054032[/C][/ROW]
[ROW][C]181[/C][C]23[/C][C]22.7760940709365[/C][C]0.223905929063541[/C][/ROW]
[ROW][C]182[/C][C]18[/C][C]21.8346369437835[/C][C]-3.83463694378347[/C][/ROW]
[ROW][C]183[/C][C]25[/C][C]22.243134589906[/C][C]2.75686541009397[/C][/ROW]
[ROW][C]184[/C][C]18[/C][C]20.0972716449608[/C][C]-2.09727164496078[/C][/ROW]
[ROW][C]185[/C][C]19[/C][C]23.2343857664255[/C][C]-4.23438576642553[/C][/ROW]
[ROW][C]186[/C][C]25[/C][C]22.6820791974707[/C][C]2.3179208025293[/C][/ROW]
[ROW][C]187[/C][C]25[/C][C]21.0219883167443[/C][C]3.97801168325567[/C][/ROW]
[ROW][C]188[/C][C]25[/C][C]23.2661367270629[/C][C]1.73386327293711[/C][/ROW]
[ROW][C]189[/C][C]24[/C][C]23.9649908737954[/C][C]0.0350091262045567[/C][/ROW]
[ROW][C]190[/C][C]19[/C][C]21.042673444584[/C][C]-2.04267344458405[/C][/ROW]
[ROW][C]191[/C][C]26[/C][C]22.71463489997[/C][C]3.28536510002999[/C][/ROW]
[ROW][C]192[/C][C]10[/C][C]21.3663075014449[/C][C]-11.3663075014449[/C][/ROW]
[ROW][C]193[/C][C]17[/C][C]22.6290822277557[/C][C]-5.6290822277557[/C][/ROW]
[ROW][C]194[/C][C]13[/C][C]21.1010327797092[/C][C]-8.10103277970921[/C][/ROW]
[ROW][C]195[/C][C]17[/C][C]21.7796828025543[/C][C]-4.77968280255428[/C][/ROW]
[ROW][C]196[/C][C]30[/C][C]18.9001727262275[/C][C]11.0998272737725[/C][/ROW]
[ROW][C]197[/C][C]25[/C][C]22.4908202903078[/C][C]2.50917970969221[/C][/ROW]
[ROW][C]198[/C][C]4[/C][C]22.7339596023262[/C][C]-18.7339596023262[/C][/ROW]
[ROW][C]199[/C][C]16[/C][C]20.1830447256153[/C][C]-4.1830447256153[/C][/ROW]
[ROW][C]200[/C][C]21[/C][C]21.8494405682817[/C][C]-0.849440568281722[/C][/ROW]
[ROW][C]201[/C][C]23[/C][C]22.2715073534904[/C][C]0.728492646509562[/C][/ROW]
[ROW][C]202[/C][C]22[/C][C]19.1993596205355[/C][C]2.80064037946455[/C][/ROW]
[ROW][C]203[/C][C]17[/C][C]21.4667683898919[/C][C]-4.46676838989185[/C][/ROW]
[ROW][C]204[/C][C]20[/C][C]18.6413776472681[/C][C]1.35862235273194[/C][/ROW]
[ROW][C]205[/C][C]20[/C][C]20.9048709620262[/C][C]-0.904870962026173[/C][/ROW]
[ROW][C]206[/C][C]22[/C][C]19.3989833205154[/C][C]2.60101667948461[/C][/ROW]
[ROW][C]207[/C][C]16[/C][C]20.8167993851581[/C][C]-4.81679938515806[/C][/ROW]
[ROW][C]208[/C][C]23[/C][C]19.0965342044396[/C][C]3.90346579556039[/C][/ROW]
[ROW][C]209[/C][C]0[/C][C]21.6993147557677[/C][C]-21.6993147557677[/C][/ROW]
[ROW][C]210[/C][C]18[/C][C]19.2016358493064[/C][C]-1.20163584930637[/C][/ROW]
[ROW][C]211[/C][C]25[/C][C]18.5289495472715[/C][C]6.47105045272852[/C][/ROW]
[ROW][C]212[/C][C]23[/C][C]20.9306501655898[/C][C]2.06934983441019[/C][/ROW]
[ROW][C]213[/C][C]12[/C][C]21.5964327868444[/C][C]-9.59643278684441[/C][/ROW]
[ROW][C]214[/C][C]18[/C][C]18.1726356612939[/C][C]-0.172635661293892[/C][/ROW]
[ROW][C]215[/C][C]24[/C][C]19.7437530626463[/C][C]4.25624693735373[/C][/ROW]
[ROW][C]216[/C][C]11[/C][C]17.7451606743099[/C][C]-6.74516067430987[/C][/ROW]
[ROW][C]217[/C][C]18[/C][C]19.4401295053645[/C][C]-1.44012950536454[/C][/ROW]
[ROW][C]218[/C][C]23[/C][C]18.1472391239612[/C][C]4.85276087603878[/C][/ROW]
[ROW][C]219[/C][C]24[/C][C]19.1056013511015[/C][C]4.89439864889853[/C][/ROW]
[ROW][C]220[/C][C]29[/C][C]18.4746985680594[/C][C]10.5253014319406[/C][/ROW]
[ROW][C]221[/C][C]18[/C][C]19.4955705179209[/C][C]-1.49557051792091[/C][/ROW]
[ROW][C]222[/C][C]15[/C][C]19.4705830212945[/C][C]-4.47058302129454[/C][/ROW]
[ROW][C]223[/C][C]29[/C][C]19.2167038528985[/C][C]9.7832961471015[/C][/ROW]
[ROW][C]224[/C][C]16[/C][C]21.4594594705041[/C][C]-5.45945947050405[/C][/ROW]
[ROW][C]225[/C][C]19[/C][C]20.9141990760067[/C][C]-1.91419907600669[/C][/ROW]
[ROW][C]226[/C][C]22[/C][C]18.5568633242948[/C][C]3.44313667570525[/C][/ROW]
[ROW][C]227[/C][C]16[/C][C]20.6373658608701[/C][C]-4.63736586087011[/C][/ROW]
[ROW][C]228[/C][C]23[/C][C]17.414278974388[/C][C]5.58572102561201[/C][/ROW]
[ROW][C]229[/C][C]23[/C][C]20.0964166984412[/C][C]2.9035833015588[/C][/ROW]
[ROW][C]230[/C][C]19[/C][C]19.4906353956002[/C][C]-0.490635395600208[/C][/ROW]
[ROW][C]231[/C][C]4[/C][C]20.2147305813795[/C][C]-16.2147305813795[/C][/ROW]
[ROW][C]232[/C][C]20[/C][C]19.0027804086242[/C][C]0.99721959137581[/C][/ROW]
[ROW][C]233[/C][C]24[/C][C]18.6792389707431[/C][C]5.32076102925691[/C][/ROW]
[ROW][C]234[/C][C]20[/C][C]18.7520101147818[/C][C]1.24798988521816[/C][/ROW]
[ROW][C]235[/C][C]4[/C][C]19.818967962903[/C][C]-15.818967962903[/C][/ROW]
[ROW][C]236[/C][C]24[/C][C]19.7124921172025[/C][C]4.2875078827975[/C][/ROW]
[ROW][C]237[/C][C]22[/C][C]19.8760166218382[/C][C]2.1239833781618[/C][/ROW]
[ROW][C]238[/C][C]16[/C][C]18.0952707636281[/C][C]-2.0952707636281[/C][/ROW]
[ROW][C]239[/C][C]3[/C][C]19.3061337889303[/C][C]-16.3061337889303[/C][/ROW]
[ROW][C]240[/C][C]15[/C][C]16.26527997903[/C][C]-1.26527997903003[/C][/ROW]
[ROW][C]241[/C][C]24[/C][C]18.3997450835262[/C][C]5.60025491647376[/C][/ROW]
[ROW][C]242[/C][C]17[/C][C]17.6456141041248[/C][C]-0.645614104124778[/C][/ROW]
[ROW][C]243[/C][C]20[/C][C]17.1777559018873[/C][C]2.82224409811269[/C][/ROW]
[ROW][C]244[/C][C]27[/C][C]18.1211315020116[/C][C]8.87886849798842[/C][/ROW]
[ROW][C]245[/C][C]26[/C][C]18.4831609374055[/C][C]7.51683906259452[/C][/ROW]
[ROW][C]246[/C][C]23[/C][C]18.356258960198[/C][C]4.643741039802[/C][/ROW]
[ROW][C]247[/C][C]17[/C][C]18.3245314280033[/C][C]-1.32453142800331[/C][/ROW]
[ROW][C]248[/C][C]20[/C][C]20.3943585370174[/C][C]-0.394358537017421[/C][/ROW]
[ROW][C]249[/C][C]22[/C][C]20.1851639810298[/C][C]1.81483601897019[/C][/ROW]
[ROW][C]250[/C][C]19[/C][C]18.0858615724078[/C][C]0.914138427592246[/C][/ROW]
[ROW][C]251[/C][C]24[/C][C]18.4000683919146[/C][C]5.59993160808536[/C][/ROW]
[ROW][C]252[/C][C]19[/C][C]17.5264684347457[/C][C]1.4735315652543[/C][/ROW]
[ROW][C]253[/C][C]23[/C][C]20.324587473111[/C][C]2.67541252688904[/C][/ROW]
[ROW][C]254[/C][C]15[/C][C]18.9982856572235[/C][C]-3.99828565722348[/C][/ROW]
[ROW][C]255[/C][C]27[/C][C]18.6517729543271[/C][C]8.34822704567288[/C][/ROW]
[ROW][C]256[/C][C]26[/C][C]20.3298709135732[/C][C]5.67012908642675[/C][/ROW]
[ROW][C]257[/C][C]22[/C][C]20.4656735083639[/C][C]1.53432649163611[/C][/ROW]
[ROW][C]258[/C][C]22[/C][C]19.8658582723888[/C][C]2.1341417276112[/C][/ROW]
[ROW][C]259[/C][C]18[/C][C]19.294655546803[/C][C]-1.29465554680304[/C][/ROW]
[ROW][C]260[/C][C]15[/C][C]21.4533181248694[/C][C]-6.45331812486937[/C][/ROW]
[ROW][C]261[/C][C]22[/C][C]21.1357840730101[/C][C]0.864215926989893[/C][/ROW]
[ROW][C]262[/C][C]27[/C][C]18.9387334784799[/C][C]8.06126652152006[/C][/ROW]
[ROW][C]263[/C][C]10[/C][C]19.954071299113[/C][C]-9.95407129911296[/C][/ROW]
[ROW][C]264[/C][C]20[/C][C]18.050494375535[/C][C]1.94950562446501[/C][/ROW]
[ROW][C]265[/C][C]17[/C][C]20.9669972845407[/C][C]-3.96699728454071[/C][/ROW]
[ROW][C]266[/C][C]23[/C][C]18.8379346637269[/C][C]4.16206533627311[/C][/ROW]
[ROW][C]267[/C][C]19[/C][C]19.7947142472704[/C][C]-0.794714247270381[/C][/ROW]
[ROW][C]268[/C][C]13[/C][C]20.8461240510359[/C][C]-7.84612405103591[/C][/ROW]
[ROW][C]269[/C][C]27[/C][C]20.0313400019429[/C][C]6.96865999805706[/C][/ROW]
[ROW][C]270[/C][C]23[/C][C]19.7269934062819[/C][C]3.27300659371814[/C][/ROW]
[ROW][C]271[/C][C]16[/C][C]18.9527400411307[/C][C]-2.95274004113069[/C][/ROW]
[ROW][C]272[/C][C]25[/C][C]20.6477692998749[/C][C]4.35223070012514[/C][/ROW]
[ROW][C]273[/C][C]2[/C][C]21.3819753287781[/C][C]-19.3819753287781[/C][/ROW]
[ROW][C]274[/C][C]26[/C][C]18.7494718705606[/C][C]7.25052812943936[/C][/ROW]
[ROW][C]275[/C][C]20[/C][C]18.3852022806797[/C][C]1.61479771932033[/C][/ROW]
[ROW][C]276[/C][C]23[/C][C]17.9001751375853[/C][C]5.09982486241467[/C][/ROW]
[ROW][C]277[/C][C]22[/C][C]20.5271086195173[/C][C]1.47289138048269[/C][/ROW]
[ROW][C]278[/C][C]24[/C][C]19.2561786941809[/C][C]4.74382130581907[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303217&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303217&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
132019.77510683760680.224893162393162
141918.95807657098560.0419234290143855
151818.3824595925234-0.382459592523446
161515.3282238811874-0.328223881187439
172020.1096236891102-0.109623689110169
182120.94290317472720.0570968252727688
192118.95074682132162.04925317867841
201521.1373437951782-6.13734379517815
211620.0585784059459-4.05857840594586
222318.07461142979244.92538857020764
232121.4759682220585-0.475968222058516
241814.12252205705153.8774779429485
252518.82705019806486.17294980193516
26918.2810530005225-9.28105300052254
273017.232134012869812.7678659871302
282014.80863840616175.1913615938383
292319.87769244520713.1223075547929
301620.8895261297298-4.88952612972982
311618.821457149606-2.82145714960604
321920.1814288519196-1.18142885191959
332519.49967207220615.5003279277939
341818.6460614392698-0.646061439269776
352321.4000400429811.59995995701899
362114.4803304763536.51966952364703
371019.4955568568142-9.49555685681418
381417.0768793311786-3.07687933117862
392217.95570252973564.04429747026439
402614.565590315844211.4344096841558
412319.78394818765093.21605181234908
422320.21729228737492.78270771262509
432418.67688260889565.32311739110438
442420.56147089249373.4385291075063
451820.6136123959301-2.61361239593014
462318.94191603541594.05808396458406
471522.1040611313229-7.10406113132288
481915.15135930085643.84864069914364
491618.8720717219544-2.87207172195442
502517.25599029399347.74400970600664
512319.19526130301063.80473869698942
521716.36422867530340.635771324696641
531920.4850530827783-1.48505308277828
542120.67851078280790.321489217192141
551819.2211048161081-1.22110481610808
562720.66504416646336.33495583353674
572120.41617964800020.583820351999833
581319.3983211619833-6.39832116198333
59821.2480829255967-13.2480829255967
602914.812065816156514.1879341838435
612818.53072037829289.46927962170716
622318.29473360649364.70526639350645
632119.81401284290371.18598715709633
641916.63755588618752.36244411381246
651920.696266575792-1.69626657579196
662021.0257496947761-1.0257496947761
671819.4028669103839-1.40286691038392
681921.406987958969-2.40698795896897
691720.3271218634121-3.32712186341208
701918.61205150526710.387948494732857
712520.28348955133254.71651044866755
721916.73763579390762.26236420609235
732219.55831327869812.44168672130193
742318.64631986698414.35368013301591
751419.8955837173471-5.89558371734713
761616.472881760362-0.472881760362029
772420.09716909144673.90283090855332
782020.742564842614-0.742564842613969
791219.108152780221-7.10815278022104
802420.76802711753823.23197288246178
812219.8888303298242.11116967017601
821218.7109434832548-6.71094348325478
832220.36875994138761.63124005861242
842016.49584659533943.50415340466062
851019.3884321925131-9.38843219251309
862318.05123493807034.94876506192969
871718.5643341451517-1.5643341451517
882215.74038377546156.25961622453846
892420.00451755201553.99548244798449
901820.3118746484469-2.31187464844688
912118.13308764369522.86691235630481
922021.0318857609743-1.03188576097427
932019.87250944788410.127490552115866
942217.9524634757994.04753652420099
951920.7422594661786-1.74225946617864
962016.85600980784673.14399019215331
972618.78818101223487.21181898776524
982319.31009756054023.68990243945983
992419.30265406030274.69734593969727
1002117.37439899571923.62560100428078
1012121.3693056377229-0.369305637722917
1021921.0244153339252-2.02441533392525
103819.2596922732987-11.2596922732987
1041721.213347177373-4.21334717737298
1052019.99493025668480.00506974331517895
1061118.3634092073673-7.36340920736728
107820.1852250708702-12.1852250708702
1081516.1557624694212-1.15576246942118
1091818.1704465870294-0.170446587029364
1101818.064352036742-0.0643520367419583
1111917.93088534690821.06911465309178
1121915.72643997091663.27356002908335
1132319.38367177892653.61632822107349
1142219.08103225534372.91896774465629
1152116.84855044809954.15144955190053
1162520.03994374029024.96005625970984
1173019.563971237021710.4360287629783
1181717.8877920254903-0.887792025490285
1192719.67139415115657.32860584884354
1202317.40172513337315.59827486662687
1212319.83972402907113.16027597092894
1221819.9334190092358-1.93341900923583
1231819.8291158187839-1.82911581878393
1242317.68209282239215.3179071776079
1251921.4938734962223-2.49387349622231
1261520.880256212798-5.88025621279798
1272018.34565302733361.6543469726664
1281621.4986160866592-5.49861608665915
1292420.94527724500943.05472275499063
1302518.092264914236.90773508577004
1312520.86077050202334.13922949797674
1321918.32266363964330.677336360356655
1331920.3546893093229-1.35468930932287
1341619.8622394299263-3.86223942992633
1351919.6754088066007-0.675408806600686
1361918.11125333958130.888746660418672
1372321.13650471226151.86349528773848
1382120.47992149385330.520078506146682
1392218.80878360083383.19121639916623
1401921.5142954953456-2.51429549534564
1412021.7421044939634-1.74210449396338
1422018.95342582084411.04657417915589
143321.2433734642714-18.2433734642714
1442317.38009261821545.61990738178462
1452319.48336235356723.51663764643284
1462019.02748690791220.972513092087802
1471519.2991095425645-4.29910954256454
1481617.6725243256539-1.67252432565386
149720.6399608888937-13.6399608888937
1502419.13304213126224.86695786873784
1511717.846002318445-0.846002318444981
1522419.91990322655544.08009677344461
1532420.49962955875663.50037044124336
1541918.15190754624770.84809245375229
1552518.99836989803526.00163010196476
1562018.04364374135321.95635625864677
1572819.82331965667228.1766803433278
1582319.40702218625033.59297781374973
1592719.4230488837877.57695111621296
1601818.5683850801712-0.568385080171151
1612820.72506706141197.27493293858814
1622121.6037527477643-0.603752747764315
1631919.6693104041558-0.669310404155816
1642322.14645213876330.853547861236748
1652722.56064553910694.43935446089315
1662220.09151372413381.90848627586616
1672821.39867040214286.60132959785721
1682520.20511612391394.79488387608612
1692122.6105541876269-1.61055418762689
1702221.42109099183460.578909008165354
1712821.61243424600466.3875657539954
1722020.1237596757034-0.123759675703369
1732922.9026825976096.09731740239103
1742523.16700945473181.83299054526822
1752521.3664500517093.633549948291
1762024.1858154437429-4.18581544374295
1772024.65039161319-4.65039161319005
1781621.5828298977003-5.58282989770026
1792022.8937329006374-2.89373290063745
1802021.1229968505403-1.12299685054032
1812322.77609407093650.223905929063541
1821821.8346369437835-3.83463694378347
1832522.2431345899062.75686541009397
1841820.0972716449608-2.09727164496078
1851923.2343857664255-4.23438576642553
1862522.68207919747072.3179208025293
1872521.02198831674433.97801168325567
1882523.26613672706291.73386327293711
1892423.96499087379540.0350091262045567
1901921.042673444584-2.04267344458405
1912622.714634899973.28536510002999
1921021.3663075014449-11.3663075014449
1931722.6290822277557-5.6290822277557
1941321.1010327797092-8.10103277970921
1951721.7796828025543-4.77968280255428
1963018.900172726227511.0998272737725
1972522.49082029030782.50917970969221
198422.7339596023262-18.7339596023262
1991620.1830447256153-4.1830447256153
2002121.8494405682817-0.849440568281722
2012322.27150735349040.728492646509562
2022219.19935962053552.80064037946455
2031721.4667683898919-4.46676838989185
2042018.64137764726811.35862235273194
2052020.9048709620262-0.904870962026173
2062219.39898332051542.60101667948461
2071620.8167993851581-4.81679938515806
2082319.09653420443963.90346579556039
209021.6993147557677-21.6993147557677
2101819.2016358493064-1.20163584930637
2112518.52894954727156.47105045272852
2122320.93065016558982.06934983441019
2131221.5964327868444-9.59643278684441
2141818.1726356612939-0.172635661293892
2152419.74375306264634.25624693735373
2161117.7451606743099-6.74516067430987
2171819.4401295053645-1.44012950536454
2182318.14723912396124.85276087603878
2192419.10560135110154.89439864889853
2202918.474698568059410.5253014319406
2211819.4955705179209-1.49557051792091
2221519.4705830212945-4.47058302129454
2232919.21670385289859.7832961471015
2241621.4594594705041-5.45945947050405
2251920.9141990760067-1.91419907600669
2262218.55686332429483.44313667570525
2271620.6373658608701-4.63736586087011
2282317.4142789743885.58572102561201
2292320.09641669844122.9035833015588
2301919.4906353956002-0.490635395600208
231420.2147305813795-16.2147305813795
2322019.00278040862420.99721959137581
2332418.67923897074315.32076102925691
2342018.75201011478181.24798988521816
235419.818967962903-15.818967962903
2362419.71249211720254.2875078827975
2372219.87601662183822.1239833781618
2381618.0952707636281-2.0952707636281
239319.3061337889303-16.3061337889303
2401516.26527997903-1.26527997903003
2412418.39974508352625.60025491647376
2421717.6456141041248-0.645614104124778
2432017.17775590188732.82224409811269
2442718.12113150201168.87886849798842
2452618.48316093740557.51683906259452
2462318.3562589601984.643741039802
2471718.3245314280033-1.32453142800331
2482020.3943585370174-0.394358537017421
2492220.18516398102981.81483601897019
2501918.08586157240780.914138427592246
2512418.40006839191465.59993160808536
2521917.52646843474571.4735315652543
2532320.3245874731112.67541252688904
2541518.9982856572235-3.99828565722348
2552718.65177295432718.34822704567288
2562620.32987091357325.67012908642675
2572220.46567350836391.53432649163611
2582219.86585827238882.1341417276112
2591819.294655546803-1.29465554680304
2601521.4533181248694-6.45331812486937
2612221.13578407301010.864215926989893
2622718.93873347847998.06126652152006
2631019.954071299113-9.95407129911296
2642018.0504943755351.94950562446501
2651720.9669972845407-3.96699728454071
2662318.83793466372694.16206533627311
2671919.7947142472704-0.794714247270381
2681320.8461240510359-7.84612405103591
2692720.03134000194296.96865999805706
2702319.72699340628193.27300659371814
2711618.9527400411307-2.95274004113069
2722520.64776929987494.35223070012514
273221.3819753287781-19.3819753287781
2742618.74947187056067.25052812943936
2752018.38520228067971.61479771932033
2762317.90017513758535.09982486241467
2772220.52710861951731.47289138048269
2782419.25617869418094.74382130581907







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
27919.87779508243929.0009383136303830.7546518512479
28020.45023560468369.5609206002232731.339550609144
28121.107009048843110.204846925383532.0091711723027
28220.20610636816249.2907031938341331.1215095424907
28318.82030654046227.8912634015757229.7493496793488
28421.19703199999410.253945069142432.1401189308457
28519.97677448835049.0192350938878830.9343138828129
28620.23658535043439.2641800473038431.2089906535649
28719.12517006248668.1374807043665930.1128594206066
28818.82975845392747.8263622666682629.8331546411865
28920.95380935136839.9342790076847331.9733396950518
29019.85833373173468.8222374271202230.894430036349

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
279 & 19.8777950824392 & 9.00093831363038 & 30.7546518512479 \tabularnewline
280 & 20.4502356046836 & 9.56092060022327 & 31.339550609144 \tabularnewline
281 & 21.1070090488431 & 10.2048469253835 & 32.0091711723027 \tabularnewline
282 & 20.2061063681624 & 9.29070319383413 & 31.1215095424907 \tabularnewline
283 & 18.8203065404622 & 7.89126340157572 & 29.7493496793488 \tabularnewline
284 & 21.197031999994 & 10.2539450691424 & 32.1401189308457 \tabularnewline
285 & 19.9767744883504 & 9.01923509388788 & 30.9343138828129 \tabularnewline
286 & 20.2365853504343 & 9.26418004730384 & 31.2089906535649 \tabularnewline
287 & 19.1251700624866 & 8.13748070436659 & 30.1128594206066 \tabularnewline
288 & 18.8297584539274 & 7.82636226666826 & 29.8331546411865 \tabularnewline
289 & 20.9538093513683 & 9.93427900768473 & 31.9733396950518 \tabularnewline
290 & 19.8583337317346 & 8.82223742712022 & 30.894430036349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303217&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]279[/C][C]19.8777950824392[/C][C]9.00093831363038[/C][C]30.7546518512479[/C][/ROW]
[ROW][C]280[/C][C]20.4502356046836[/C][C]9.56092060022327[/C][C]31.339550609144[/C][/ROW]
[ROW][C]281[/C][C]21.1070090488431[/C][C]10.2048469253835[/C][C]32.0091711723027[/C][/ROW]
[ROW][C]282[/C][C]20.2061063681624[/C][C]9.29070319383413[/C][C]31.1215095424907[/C][/ROW]
[ROW][C]283[/C][C]18.8203065404622[/C][C]7.89126340157572[/C][C]29.7493496793488[/C][/ROW]
[ROW][C]284[/C][C]21.197031999994[/C][C]10.2539450691424[/C][C]32.1401189308457[/C][/ROW]
[ROW][C]285[/C][C]19.9767744883504[/C][C]9.01923509388788[/C][C]30.9343138828129[/C][/ROW]
[ROW][C]286[/C][C]20.2365853504343[/C][C]9.26418004730384[/C][C]31.2089906535649[/C][/ROW]
[ROW][C]287[/C][C]19.1251700624866[/C][C]8.13748070436659[/C][C]30.1128594206066[/C][/ROW]
[ROW][C]288[/C][C]18.8297584539274[/C][C]7.82636226666826[/C][C]29.8331546411865[/C][/ROW]
[ROW][C]289[/C][C]20.9538093513683[/C][C]9.93427900768473[/C][C]31.9733396950518[/C][/ROW]
[ROW][C]290[/C][C]19.8583337317346[/C][C]8.82223742712022[/C][C]30.894430036349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303217&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303217&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
27919.87779508243929.0009383136303830.7546518512479
28020.45023560468369.5609206002232731.339550609144
28121.107009048843110.204846925383532.0091711723027
28220.20610636816249.2907031938341331.1215095424907
28318.82030654046227.8912634015757229.7493496793488
28421.19703199999410.253945069142432.1401189308457
28519.97677448835049.0192350938878830.9343138828129
28620.23658535043439.2641800473038431.2089906535649
28719.12517006248668.1374807043665930.1128594206066
28818.82975845392747.8263622666682629.8331546411865
28920.95380935136839.9342790076847331.9733396950518
29019.85833373173468.8222374271202230.894430036349



Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = Linear Trend ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- 'additive'
par2 <- 'Triple'
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')