Free Statistics

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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 18 May 2011 19:09:54 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/18/t130574565177wg2hhp773c9um.htm/, Retrieved Mon, 13 May 2024 23:30:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121918, Retrieved Mon, 13 May 2024 23:30:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2011-05-18 19:09:54] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1.0086
1.0126
1.0158
1.0026
1.0030
0.9880
0.9831
0.9890
0.9972
1.0000
1.0039
0.9999
0.9800
0.9654
0.9809
0.9862
0.9986
1.0220
1.0309
1.0176
0.9953
0.9791
0.9776
0.9923
1.0298
1.0526
1.0698
1.1018
1.1133
1.1274
1.1438
1.1786
1.1865
1.1581
1.1666
1.1750
1.1642
1.1706
1.1587
1.1841
1.1936
1.1987
1.2116
1.1917
1.2090
1.2448
1.2500
1.2316
1.2276
1.2313
1.2329
1.2385
1.2554
1.2927
1.3139
1.3186
1.3542
1.3697
1.3601
1.3796
1.4041
1.3845
1.3855
1.3850
1.3380
1.3330
1.3224
1.3113
1.2676
1.2301
1.2193
1.2068
1.1919
1.1933
1.1826
1.1686
1.1828
1.1706
1.1534
1.1613
1.1560
1.1491
1.1438
1.1349
1.1775
1.1942
1.2019
1.2617
1.2617
1.2703
1.3038
1.3248
1.3414
1.3825
1.3716
1.3681
1.4071
1.3715
1.3558
1.3562
1.3692
1.3648
1.3704
1.3504
1.3592
1.3863
1.3851
1.4089
1.4303
1.4468
1.5144
1.5430
1.5116
1.4729
1.4864
1.4724
1.4535
1.4805
1.4823
1.5257
1.5278
1.5411
1.5462
1.5809
1.5946
1.5545
1.5637
1.5696
1.5099
1.3982
1.3806
1.3160
1.3181
1.3596
1.3078
1.2209
1.2270
1.2439
1.2016
1.1735
1.1545
1.1226
1.1212
1.1392
1.1718
1.0984
1.0449
0.9816
1.0038
1.0099
1.0416
1.2118




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121918&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121918&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999926986355262
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999926986355262 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121918&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]0.999926986355262[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121918&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
alpha0.999926986355262
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
21.01261.00860.004
31.01581.012599707945420.00320029205457906
41.00261.01579976633501-0.013199766335013
51.0031.002600963763050.000399036236950145
60.9881.00299997086491-0.01499997086491
70.98310.988001095202544-0.00490109520254389
80.9890.9831003578468240.00589964215317607
90.99720.9889995692456240.00820043075437626
1010.9971994012566620.00280059874333782
111.00390.9999997955180780.00390020448192174
120.99991.00389971523186-0.00399971523185561
130.980.999900292033787-0.0199002920337871
140.96540.980001452992853-0.0146014529928526
150.98090.9654010661053020.0154989338946985
160.98620.9808988683663470.00530113163365309
170.99860.9861996129450580.012400387054942
181.0220.9985990946025450.023400905397455
191.03091.021998291414610.0089017085853933
201.01761.03089935005381-0.0132993500538117
210.99531.01760097103402-0.0223009710340202
220.97910.995301628275176-0.0162016282751763
230.97760.97910118293993-0.00150118293993096
240.99230.9776001096068380.0146998903931621
251.02980.9922989267074250.0375010732925749
261.05261.029797261909960.0228027380900426
271.06981.052598335088980.017201664911018
281.10181.069798744043750.0320012559562504
291.11331.101797663471670.0115023365283338
301.12741.113299160172490.0141008398275129
311.14381.127398970446290.0164010295537098
321.17861.143798802501050.0348011974989453
331.18651.178597459037730.00790254096227061
341.15811.18649942300668-0.0283994230066817
351.16661.158102073545380.00849792645461789
361.1751.166599379535420.00840062046458323
371.16421.17499938664008-0.010799386640082
381.17061.164200788502580.00639921149742073
391.15871.17059953277025-0.0118995327702454
401.18411.158700868828260.0253991311717416
411.19361.184098145516860.00950185448314
421.19871.193599306234970.00510069376502775
431.21161.198699627579760.0129003724202423
441.19171.21159905809679-0.0198990580967913
451.2091.191701452902760.0172985470972415
461.24481.208998736970030.0358012630299722
471.251.24479738601930.00520261398070021
481.23161.24999962013819-0.0183996201381911
491.22761.23160134342333-0.00400134342332814
501.23131.227600292152670.00369970784733287
511.23291.231299729870850.00160027012915442
521.23851.232899883158450.00560011684155448
531.25541.238499591115060.0169004088849416
541.29271.255398766039550.0373012339604502
551.31391.292697276500960.0212027234990448
561.31861.313898451911880.00470154808812095
571.35421.318599656722840.0356003432771619
581.36971.354197400689180.0155025993108167
591.36011.36969886809872-0.00959886809872113
601.37961.360100700848350.0194992991516547
611.40411.37959857628510.0245014237149008
621.38451.40409821106175-0.0195982110617532
631.38551.384501430936820.000998569063179966
641.3851.38549992709083-0.000499927090833019
651.3381.3850000365015-0.0470000365014989
661.3331.33800343164397-0.00500343164396799
671.32241.33300036531878-0.0106003653187805
681.31131.32240077397131-0.0111007739713076
691.26761.31130081050797-0.0437008105079668
701.23011.26760319075545-0.0375031907554533
711.21931.23010273824465-0.0108027382446463
721.20681.21930078874729-0.0125007887472923
731.19191.20680091272815-0.0149009127281485
741.19331.191901087969950.00139891203005171
751.18261.19329989786033-0.0106998978603339
761.16861.18260078123854-0.0140007812385412
771.18281.168601022248070.0141989777519327
781.17061.18279896328088-0.0121989632808828
791.15341.17060089069077-0.0172008906907715
801.16131.153401255899720.00789874410027802
811.1561.1612994232839-0.00529942328390454
821.14911.15600038693021-0.00690038693020889
831.14381.1491005038224-0.00530050382239988
841.13491.1438003870091-0.0089003870091029
851.17751.13490064984970.0425993501503048
861.19421.177496889666180.016703110333818
871.20191.194198780445040.00770121955496395
881.26171.201899437705890.0598005622941087
891.26171.261695633742994.36625701039084e-06
901.27031.26169999968120.00860000031879626
911.30381.270299372082630.0335006279173682
921.32481.303797553997050.021002446002945
931.34141.324798466534870.016601533465131
941.38251.341398787861530.0411012121384666
951.37161.3824969990507-0.0108969990506989
961.36811.37160079562962-0.00350079562961714
971.40711.368100255605850.0389997443941514
981.37151.40709715248652-0.035597152486518
991.35581.37150259907785-0.0157025990778454
1001.35621.355801146503990.000398853496009766
1011.36921.356199970878250.0130000291217474
1021.36481.36919905082049-0.00439905082049208
1031.37041.364800321190730.00559967880926626
1041.35041.37039959114704-0.0199995911470408
1051.35921.350401460243040.008798539756957
1061.38631.359199357586540.0271006424134561
1071.38511.38629802128332-0.00119802128332291
1081.40891.38510008747190.0237999125280997
1091.43031.408898262281640.021401737718358
1101.44681.430298437381130.0165015626188747
1111.51441.446798795160770.0676012048392305
1121.5431.514395064189650.0286049358103539
1131.51161.54299791144938-0.031397911449379
1141.47291.51160229247595-0.0387022924759519
1151.48641.472902825795430.0134971742045666
1161.47241.48639901452212-0.0139990145221178
1171.45351.47240102211907-0.0189010221190729
1181.48051.453501380032510.0269986199674859
1191.48231.480498028732350.0018019712676467
1201.52571.482299868431510.04340013156849
1211.52781.525696831198210.00210316880178785
1221.54111.527799846439980.0133001535600195
1231.54621.541099028907310.00510097109268703
1241.58091.546199627559510.0347003724404913
1251.59461.580897466399330.0137025336006658
1261.55451.59459899952808-0.0400989995280798
1271.56371.554502927774110.00919707222589428
1281.56961.563699328488240.00590067151176399
1291.50991.56959956917047-0.0596995691704667
1301.39821.50990435888313-0.111704358883134
1311.38061.39820815594238-0.0176081559423753
1321.3161.38060128563564-0.0646012856356424
1331.31811.316004716775320.002095283224681
1341.35961.318099847015740.0415001529842649
1351.30781.35959696992257-0.0517969699225733
1361.22091.30780378188556-0.0869037818855605
1371.2271.220906345161860.00609365483814295
1381.24391.226999555080050.0169004449199495
1391.20161.24389876603692-0.0422987660369187
1401.17351.20160308838708-0.0281030883870763
1411.15451.17350205190891-0.0190020519089114
1421.12261.15450138740907-0.0319013874090674
1431.12121.12260232923657-0.00140232923656702
1441.13921.121200102389170.0179998976108313
1451.17181.139198685761870.0326013142381294
1461.09841.17179761965922-0.0733976196592243
1471.04491.09840535902773-0.0535053590277266
1480.98161.04490390662128-0.0633039066212755
1491.00380.9816046220489490.0221953779510514
1501.00991.003798379434560.0061016205654405
1511.04161.009899554498440.0317004455015564
1521.21181.041597685434930.170202314565066

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 1.0126 & 1.0086 & 0.004 \tabularnewline
3 & 1.0158 & 1.01259970794542 & 0.00320029205457906 \tabularnewline
4 & 1.0026 & 1.01579976633501 & -0.013199766335013 \tabularnewline
5 & 1.003 & 1.00260096376305 & 0.000399036236950145 \tabularnewline
6 & 0.988 & 1.00299997086491 & -0.01499997086491 \tabularnewline
7 & 0.9831 & 0.988001095202544 & -0.00490109520254389 \tabularnewline
8 & 0.989 & 0.983100357846824 & 0.00589964215317607 \tabularnewline
9 & 0.9972 & 0.988999569245624 & 0.00820043075437626 \tabularnewline
10 & 1 & 0.997199401256662 & 0.00280059874333782 \tabularnewline
11 & 1.0039 & 0.999999795518078 & 0.00390020448192174 \tabularnewline
12 & 0.9999 & 1.00389971523186 & -0.00399971523185561 \tabularnewline
13 & 0.98 & 0.999900292033787 & -0.0199002920337871 \tabularnewline
14 & 0.9654 & 0.980001452992853 & -0.0146014529928526 \tabularnewline
15 & 0.9809 & 0.965401066105302 & 0.0154989338946985 \tabularnewline
16 & 0.9862 & 0.980898868366347 & 0.00530113163365309 \tabularnewline
17 & 0.9986 & 0.986199612945058 & 0.012400387054942 \tabularnewline
18 & 1.022 & 0.998599094602545 & 0.023400905397455 \tabularnewline
19 & 1.0309 & 1.02199829141461 & 0.0089017085853933 \tabularnewline
20 & 1.0176 & 1.03089935005381 & -0.0132993500538117 \tabularnewline
21 & 0.9953 & 1.01760097103402 & -0.0223009710340202 \tabularnewline
22 & 0.9791 & 0.995301628275176 & -0.0162016282751763 \tabularnewline
23 & 0.9776 & 0.97910118293993 & -0.00150118293993096 \tabularnewline
24 & 0.9923 & 0.977600109606838 & 0.0146998903931621 \tabularnewline
25 & 1.0298 & 0.992298926707425 & 0.0375010732925749 \tabularnewline
26 & 1.0526 & 1.02979726190996 & 0.0228027380900426 \tabularnewline
27 & 1.0698 & 1.05259833508898 & 0.017201664911018 \tabularnewline
28 & 1.1018 & 1.06979874404375 & 0.0320012559562504 \tabularnewline
29 & 1.1133 & 1.10179766347167 & 0.0115023365283338 \tabularnewline
30 & 1.1274 & 1.11329916017249 & 0.0141008398275129 \tabularnewline
31 & 1.1438 & 1.12739897044629 & 0.0164010295537098 \tabularnewline
32 & 1.1786 & 1.14379880250105 & 0.0348011974989453 \tabularnewline
33 & 1.1865 & 1.17859745903773 & 0.00790254096227061 \tabularnewline
34 & 1.1581 & 1.18649942300668 & -0.0283994230066817 \tabularnewline
35 & 1.1666 & 1.15810207354538 & 0.00849792645461789 \tabularnewline
36 & 1.175 & 1.16659937953542 & 0.00840062046458323 \tabularnewline
37 & 1.1642 & 1.17499938664008 & -0.010799386640082 \tabularnewline
38 & 1.1706 & 1.16420078850258 & 0.00639921149742073 \tabularnewline
39 & 1.1587 & 1.17059953277025 & -0.0118995327702454 \tabularnewline
40 & 1.1841 & 1.15870086882826 & 0.0253991311717416 \tabularnewline
41 & 1.1936 & 1.18409814551686 & 0.00950185448314 \tabularnewline
42 & 1.1987 & 1.19359930623497 & 0.00510069376502775 \tabularnewline
43 & 1.2116 & 1.19869962757976 & 0.0129003724202423 \tabularnewline
44 & 1.1917 & 1.21159905809679 & -0.0198990580967913 \tabularnewline
45 & 1.209 & 1.19170145290276 & 0.0172985470972415 \tabularnewline
46 & 1.2448 & 1.20899873697003 & 0.0358012630299722 \tabularnewline
47 & 1.25 & 1.2447973860193 & 0.00520261398070021 \tabularnewline
48 & 1.2316 & 1.24999962013819 & -0.0183996201381911 \tabularnewline
49 & 1.2276 & 1.23160134342333 & -0.00400134342332814 \tabularnewline
50 & 1.2313 & 1.22760029215267 & 0.00369970784733287 \tabularnewline
51 & 1.2329 & 1.23129972987085 & 0.00160027012915442 \tabularnewline
52 & 1.2385 & 1.23289988315845 & 0.00560011684155448 \tabularnewline
53 & 1.2554 & 1.23849959111506 & 0.0169004088849416 \tabularnewline
54 & 1.2927 & 1.25539876603955 & 0.0373012339604502 \tabularnewline
55 & 1.3139 & 1.29269727650096 & 0.0212027234990448 \tabularnewline
56 & 1.3186 & 1.31389845191188 & 0.00470154808812095 \tabularnewline
57 & 1.3542 & 1.31859965672284 & 0.0356003432771619 \tabularnewline
58 & 1.3697 & 1.35419740068918 & 0.0155025993108167 \tabularnewline
59 & 1.3601 & 1.36969886809872 & -0.00959886809872113 \tabularnewline
60 & 1.3796 & 1.36010070084835 & 0.0194992991516547 \tabularnewline
61 & 1.4041 & 1.3795985762851 & 0.0245014237149008 \tabularnewline
62 & 1.3845 & 1.40409821106175 & -0.0195982110617532 \tabularnewline
63 & 1.3855 & 1.38450143093682 & 0.000998569063179966 \tabularnewline
64 & 1.385 & 1.38549992709083 & -0.000499927090833019 \tabularnewline
65 & 1.338 & 1.3850000365015 & -0.0470000365014989 \tabularnewline
66 & 1.333 & 1.33800343164397 & -0.00500343164396799 \tabularnewline
67 & 1.3224 & 1.33300036531878 & -0.0106003653187805 \tabularnewline
68 & 1.3113 & 1.32240077397131 & -0.0111007739713076 \tabularnewline
69 & 1.2676 & 1.31130081050797 & -0.0437008105079668 \tabularnewline
70 & 1.2301 & 1.26760319075545 & -0.0375031907554533 \tabularnewline
71 & 1.2193 & 1.23010273824465 & -0.0108027382446463 \tabularnewline
72 & 1.2068 & 1.21930078874729 & -0.0125007887472923 \tabularnewline
73 & 1.1919 & 1.20680091272815 & -0.0149009127281485 \tabularnewline
74 & 1.1933 & 1.19190108796995 & 0.00139891203005171 \tabularnewline
75 & 1.1826 & 1.19329989786033 & -0.0106998978603339 \tabularnewline
76 & 1.1686 & 1.18260078123854 & -0.0140007812385412 \tabularnewline
77 & 1.1828 & 1.16860102224807 & 0.0141989777519327 \tabularnewline
78 & 1.1706 & 1.18279896328088 & -0.0121989632808828 \tabularnewline
79 & 1.1534 & 1.17060089069077 & -0.0172008906907715 \tabularnewline
80 & 1.1613 & 1.15340125589972 & 0.00789874410027802 \tabularnewline
81 & 1.156 & 1.1612994232839 & -0.00529942328390454 \tabularnewline
82 & 1.1491 & 1.15600038693021 & -0.00690038693020889 \tabularnewline
83 & 1.1438 & 1.1491005038224 & -0.00530050382239988 \tabularnewline
84 & 1.1349 & 1.1438003870091 & -0.0089003870091029 \tabularnewline
85 & 1.1775 & 1.1349006498497 & 0.0425993501503048 \tabularnewline
86 & 1.1942 & 1.17749688966618 & 0.016703110333818 \tabularnewline
87 & 1.2019 & 1.19419878044504 & 0.00770121955496395 \tabularnewline
88 & 1.2617 & 1.20189943770589 & 0.0598005622941087 \tabularnewline
89 & 1.2617 & 1.26169563374299 & 4.36625701039084e-06 \tabularnewline
90 & 1.2703 & 1.2616999996812 & 0.00860000031879626 \tabularnewline
91 & 1.3038 & 1.27029937208263 & 0.0335006279173682 \tabularnewline
92 & 1.3248 & 1.30379755399705 & 0.021002446002945 \tabularnewline
93 & 1.3414 & 1.32479846653487 & 0.016601533465131 \tabularnewline
94 & 1.3825 & 1.34139878786153 & 0.0411012121384666 \tabularnewline
95 & 1.3716 & 1.3824969990507 & -0.0108969990506989 \tabularnewline
96 & 1.3681 & 1.37160079562962 & -0.00350079562961714 \tabularnewline
97 & 1.4071 & 1.36810025560585 & 0.0389997443941514 \tabularnewline
98 & 1.3715 & 1.40709715248652 & -0.035597152486518 \tabularnewline
99 & 1.3558 & 1.37150259907785 & -0.0157025990778454 \tabularnewline
100 & 1.3562 & 1.35580114650399 & 0.000398853496009766 \tabularnewline
101 & 1.3692 & 1.35619997087825 & 0.0130000291217474 \tabularnewline
102 & 1.3648 & 1.36919905082049 & -0.00439905082049208 \tabularnewline
103 & 1.3704 & 1.36480032119073 & 0.00559967880926626 \tabularnewline
104 & 1.3504 & 1.37039959114704 & -0.0199995911470408 \tabularnewline
105 & 1.3592 & 1.35040146024304 & 0.008798539756957 \tabularnewline
106 & 1.3863 & 1.35919935758654 & 0.0271006424134561 \tabularnewline
107 & 1.3851 & 1.38629802128332 & -0.00119802128332291 \tabularnewline
108 & 1.4089 & 1.3851000874719 & 0.0237999125280997 \tabularnewline
109 & 1.4303 & 1.40889826228164 & 0.021401737718358 \tabularnewline
110 & 1.4468 & 1.43029843738113 & 0.0165015626188747 \tabularnewline
111 & 1.5144 & 1.44679879516077 & 0.0676012048392305 \tabularnewline
112 & 1.543 & 1.51439506418965 & 0.0286049358103539 \tabularnewline
113 & 1.5116 & 1.54299791144938 & -0.031397911449379 \tabularnewline
114 & 1.4729 & 1.51160229247595 & -0.0387022924759519 \tabularnewline
115 & 1.4864 & 1.47290282579543 & 0.0134971742045666 \tabularnewline
116 & 1.4724 & 1.48639901452212 & -0.0139990145221178 \tabularnewline
117 & 1.4535 & 1.47240102211907 & -0.0189010221190729 \tabularnewline
118 & 1.4805 & 1.45350138003251 & 0.0269986199674859 \tabularnewline
119 & 1.4823 & 1.48049802873235 & 0.0018019712676467 \tabularnewline
120 & 1.5257 & 1.48229986843151 & 0.04340013156849 \tabularnewline
121 & 1.5278 & 1.52569683119821 & 0.00210316880178785 \tabularnewline
122 & 1.5411 & 1.52779984643998 & 0.0133001535600195 \tabularnewline
123 & 1.5462 & 1.54109902890731 & 0.00510097109268703 \tabularnewline
124 & 1.5809 & 1.54619962755951 & 0.0347003724404913 \tabularnewline
125 & 1.5946 & 1.58089746639933 & 0.0137025336006658 \tabularnewline
126 & 1.5545 & 1.59459899952808 & -0.0400989995280798 \tabularnewline
127 & 1.5637 & 1.55450292777411 & 0.00919707222589428 \tabularnewline
128 & 1.5696 & 1.56369932848824 & 0.00590067151176399 \tabularnewline
129 & 1.5099 & 1.56959956917047 & -0.0596995691704667 \tabularnewline
130 & 1.3982 & 1.50990435888313 & -0.111704358883134 \tabularnewline
131 & 1.3806 & 1.39820815594238 & -0.0176081559423753 \tabularnewline
132 & 1.316 & 1.38060128563564 & -0.0646012856356424 \tabularnewline
133 & 1.3181 & 1.31600471677532 & 0.002095283224681 \tabularnewline
134 & 1.3596 & 1.31809984701574 & 0.0415001529842649 \tabularnewline
135 & 1.3078 & 1.35959696992257 & -0.0517969699225733 \tabularnewline
136 & 1.2209 & 1.30780378188556 & -0.0869037818855605 \tabularnewline
137 & 1.227 & 1.22090634516186 & 0.00609365483814295 \tabularnewline
138 & 1.2439 & 1.22699955508005 & 0.0169004449199495 \tabularnewline
139 & 1.2016 & 1.24389876603692 & -0.0422987660369187 \tabularnewline
140 & 1.1735 & 1.20160308838708 & -0.0281030883870763 \tabularnewline
141 & 1.1545 & 1.17350205190891 & -0.0190020519089114 \tabularnewline
142 & 1.1226 & 1.15450138740907 & -0.0319013874090674 \tabularnewline
143 & 1.1212 & 1.12260232923657 & -0.00140232923656702 \tabularnewline
144 & 1.1392 & 1.12120010238917 & 0.0179998976108313 \tabularnewline
145 & 1.1718 & 1.13919868576187 & 0.0326013142381294 \tabularnewline
146 & 1.0984 & 1.17179761965922 & -0.0733976196592243 \tabularnewline
147 & 1.0449 & 1.09840535902773 & -0.0535053590277266 \tabularnewline
148 & 0.9816 & 1.04490390662128 & -0.0633039066212755 \tabularnewline
149 & 1.0038 & 0.981604622048949 & 0.0221953779510514 \tabularnewline
150 & 1.0099 & 1.00379837943456 & 0.0061016205654405 \tabularnewline
151 & 1.0416 & 1.00989955449844 & 0.0317004455015564 \tabularnewline
152 & 1.2118 & 1.04159768543493 & 0.170202314565066 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121918&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]2[/C][C]1.0126[/C][C]1.0086[/C][C]0.004[/C][/ROW]
[ROW][C]3[/C][C]1.0158[/C][C]1.01259970794542[/C][C]0.00320029205457906[/C][/ROW]
[ROW][C]4[/C][C]1.0026[/C][C]1.01579976633501[/C][C]-0.013199766335013[/C][/ROW]
[ROW][C]5[/C][C]1.003[/C][C]1.00260096376305[/C][C]0.000399036236950145[/C][/ROW]
[ROW][C]6[/C][C]0.988[/C][C]1.00299997086491[/C][C]-0.01499997086491[/C][/ROW]
[ROW][C]7[/C][C]0.9831[/C][C]0.988001095202544[/C][C]-0.00490109520254389[/C][/ROW]
[ROW][C]8[/C][C]0.989[/C][C]0.983100357846824[/C][C]0.00589964215317607[/C][/ROW]
[ROW][C]9[/C][C]0.9972[/C][C]0.988999569245624[/C][C]0.00820043075437626[/C][/ROW]
[ROW][C]10[/C][C]1[/C][C]0.997199401256662[/C][C]0.00280059874333782[/C][/ROW]
[ROW][C]11[/C][C]1.0039[/C][C]0.999999795518078[/C][C]0.00390020448192174[/C][/ROW]
[ROW][C]12[/C][C]0.9999[/C][C]1.00389971523186[/C][C]-0.00399971523185561[/C][/ROW]
[ROW][C]13[/C][C]0.98[/C][C]0.999900292033787[/C][C]-0.0199002920337871[/C][/ROW]
[ROW][C]14[/C][C]0.9654[/C][C]0.980001452992853[/C][C]-0.0146014529928526[/C][/ROW]
[ROW][C]15[/C][C]0.9809[/C][C]0.965401066105302[/C][C]0.0154989338946985[/C][/ROW]
[ROW][C]16[/C][C]0.9862[/C][C]0.980898868366347[/C][C]0.00530113163365309[/C][/ROW]
[ROW][C]17[/C][C]0.9986[/C][C]0.986199612945058[/C][C]0.012400387054942[/C][/ROW]
[ROW][C]18[/C][C]1.022[/C][C]0.998599094602545[/C][C]0.023400905397455[/C][/ROW]
[ROW][C]19[/C][C]1.0309[/C][C]1.02199829141461[/C][C]0.0089017085853933[/C][/ROW]
[ROW][C]20[/C][C]1.0176[/C][C]1.03089935005381[/C][C]-0.0132993500538117[/C][/ROW]
[ROW][C]21[/C][C]0.9953[/C][C]1.01760097103402[/C][C]-0.0223009710340202[/C][/ROW]
[ROW][C]22[/C][C]0.9791[/C][C]0.995301628275176[/C][C]-0.0162016282751763[/C][/ROW]
[ROW][C]23[/C][C]0.9776[/C][C]0.97910118293993[/C][C]-0.00150118293993096[/C][/ROW]
[ROW][C]24[/C][C]0.9923[/C][C]0.977600109606838[/C][C]0.0146998903931621[/C][/ROW]
[ROW][C]25[/C][C]1.0298[/C][C]0.992298926707425[/C][C]0.0375010732925749[/C][/ROW]
[ROW][C]26[/C][C]1.0526[/C][C]1.02979726190996[/C][C]0.0228027380900426[/C][/ROW]
[ROW][C]27[/C][C]1.0698[/C][C]1.05259833508898[/C][C]0.017201664911018[/C][/ROW]
[ROW][C]28[/C][C]1.1018[/C][C]1.06979874404375[/C][C]0.0320012559562504[/C][/ROW]
[ROW][C]29[/C][C]1.1133[/C][C]1.10179766347167[/C][C]0.0115023365283338[/C][/ROW]
[ROW][C]30[/C][C]1.1274[/C][C]1.11329916017249[/C][C]0.0141008398275129[/C][/ROW]
[ROW][C]31[/C][C]1.1438[/C][C]1.12739897044629[/C][C]0.0164010295537098[/C][/ROW]
[ROW][C]32[/C][C]1.1786[/C][C]1.14379880250105[/C][C]0.0348011974989453[/C][/ROW]
[ROW][C]33[/C][C]1.1865[/C][C]1.17859745903773[/C][C]0.00790254096227061[/C][/ROW]
[ROW][C]34[/C][C]1.1581[/C][C]1.18649942300668[/C][C]-0.0283994230066817[/C][/ROW]
[ROW][C]35[/C][C]1.1666[/C][C]1.15810207354538[/C][C]0.00849792645461789[/C][/ROW]
[ROW][C]36[/C][C]1.175[/C][C]1.16659937953542[/C][C]0.00840062046458323[/C][/ROW]
[ROW][C]37[/C][C]1.1642[/C][C]1.17499938664008[/C][C]-0.010799386640082[/C][/ROW]
[ROW][C]38[/C][C]1.1706[/C][C]1.16420078850258[/C][C]0.00639921149742073[/C][/ROW]
[ROW][C]39[/C][C]1.1587[/C][C]1.17059953277025[/C][C]-0.0118995327702454[/C][/ROW]
[ROW][C]40[/C][C]1.1841[/C][C]1.15870086882826[/C][C]0.0253991311717416[/C][/ROW]
[ROW][C]41[/C][C]1.1936[/C][C]1.18409814551686[/C][C]0.00950185448314[/C][/ROW]
[ROW][C]42[/C][C]1.1987[/C][C]1.19359930623497[/C][C]0.00510069376502775[/C][/ROW]
[ROW][C]43[/C][C]1.2116[/C][C]1.19869962757976[/C][C]0.0129003724202423[/C][/ROW]
[ROW][C]44[/C][C]1.1917[/C][C]1.21159905809679[/C][C]-0.0198990580967913[/C][/ROW]
[ROW][C]45[/C][C]1.209[/C][C]1.19170145290276[/C][C]0.0172985470972415[/C][/ROW]
[ROW][C]46[/C][C]1.2448[/C][C]1.20899873697003[/C][C]0.0358012630299722[/C][/ROW]
[ROW][C]47[/C][C]1.25[/C][C]1.2447973860193[/C][C]0.00520261398070021[/C][/ROW]
[ROW][C]48[/C][C]1.2316[/C][C]1.24999962013819[/C][C]-0.0183996201381911[/C][/ROW]
[ROW][C]49[/C][C]1.2276[/C][C]1.23160134342333[/C][C]-0.00400134342332814[/C][/ROW]
[ROW][C]50[/C][C]1.2313[/C][C]1.22760029215267[/C][C]0.00369970784733287[/C][/ROW]
[ROW][C]51[/C][C]1.2329[/C][C]1.23129972987085[/C][C]0.00160027012915442[/C][/ROW]
[ROW][C]52[/C][C]1.2385[/C][C]1.23289988315845[/C][C]0.00560011684155448[/C][/ROW]
[ROW][C]53[/C][C]1.2554[/C][C]1.23849959111506[/C][C]0.0169004088849416[/C][/ROW]
[ROW][C]54[/C][C]1.2927[/C][C]1.25539876603955[/C][C]0.0373012339604502[/C][/ROW]
[ROW][C]55[/C][C]1.3139[/C][C]1.29269727650096[/C][C]0.0212027234990448[/C][/ROW]
[ROW][C]56[/C][C]1.3186[/C][C]1.31389845191188[/C][C]0.00470154808812095[/C][/ROW]
[ROW][C]57[/C][C]1.3542[/C][C]1.31859965672284[/C][C]0.0356003432771619[/C][/ROW]
[ROW][C]58[/C][C]1.3697[/C][C]1.35419740068918[/C][C]0.0155025993108167[/C][/ROW]
[ROW][C]59[/C][C]1.3601[/C][C]1.36969886809872[/C][C]-0.00959886809872113[/C][/ROW]
[ROW][C]60[/C][C]1.3796[/C][C]1.36010070084835[/C][C]0.0194992991516547[/C][/ROW]
[ROW][C]61[/C][C]1.4041[/C][C]1.3795985762851[/C][C]0.0245014237149008[/C][/ROW]
[ROW][C]62[/C][C]1.3845[/C][C]1.40409821106175[/C][C]-0.0195982110617532[/C][/ROW]
[ROW][C]63[/C][C]1.3855[/C][C]1.38450143093682[/C][C]0.000998569063179966[/C][/ROW]
[ROW][C]64[/C][C]1.385[/C][C]1.38549992709083[/C][C]-0.000499927090833019[/C][/ROW]
[ROW][C]65[/C][C]1.338[/C][C]1.3850000365015[/C][C]-0.0470000365014989[/C][/ROW]
[ROW][C]66[/C][C]1.333[/C][C]1.33800343164397[/C][C]-0.00500343164396799[/C][/ROW]
[ROW][C]67[/C][C]1.3224[/C][C]1.33300036531878[/C][C]-0.0106003653187805[/C][/ROW]
[ROW][C]68[/C][C]1.3113[/C][C]1.32240077397131[/C][C]-0.0111007739713076[/C][/ROW]
[ROW][C]69[/C][C]1.2676[/C][C]1.31130081050797[/C][C]-0.0437008105079668[/C][/ROW]
[ROW][C]70[/C][C]1.2301[/C][C]1.26760319075545[/C][C]-0.0375031907554533[/C][/ROW]
[ROW][C]71[/C][C]1.2193[/C][C]1.23010273824465[/C][C]-0.0108027382446463[/C][/ROW]
[ROW][C]72[/C][C]1.2068[/C][C]1.21930078874729[/C][C]-0.0125007887472923[/C][/ROW]
[ROW][C]73[/C][C]1.1919[/C][C]1.20680091272815[/C][C]-0.0149009127281485[/C][/ROW]
[ROW][C]74[/C][C]1.1933[/C][C]1.19190108796995[/C][C]0.00139891203005171[/C][/ROW]
[ROW][C]75[/C][C]1.1826[/C][C]1.19329989786033[/C][C]-0.0106998978603339[/C][/ROW]
[ROW][C]76[/C][C]1.1686[/C][C]1.18260078123854[/C][C]-0.0140007812385412[/C][/ROW]
[ROW][C]77[/C][C]1.1828[/C][C]1.16860102224807[/C][C]0.0141989777519327[/C][/ROW]
[ROW][C]78[/C][C]1.1706[/C][C]1.18279896328088[/C][C]-0.0121989632808828[/C][/ROW]
[ROW][C]79[/C][C]1.1534[/C][C]1.17060089069077[/C][C]-0.0172008906907715[/C][/ROW]
[ROW][C]80[/C][C]1.1613[/C][C]1.15340125589972[/C][C]0.00789874410027802[/C][/ROW]
[ROW][C]81[/C][C]1.156[/C][C]1.1612994232839[/C][C]-0.00529942328390454[/C][/ROW]
[ROW][C]82[/C][C]1.1491[/C][C]1.15600038693021[/C][C]-0.00690038693020889[/C][/ROW]
[ROW][C]83[/C][C]1.1438[/C][C]1.1491005038224[/C][C]-0.00530050382239988[/C][/ROW]
[ROW][C]84[/C][C]1.1349[/C][C]1.1438003870091[/C][C]-0.0089003870091029[/C][/ROW]
[ROW][C]85[/C][C]1.1775[/C][C]1.1349006498497[/C][C]0.0425993501503048[/C][/ROW]
[ROW][C]86[/C][C]1.1942[/C][C]1.17749688966618[/C][C]0.016703110333818[/C][/ROW]
[ROW][C]87[/C][C]1.2019[/C][C]1.19419878044504[/C][C]0.00770121955496395[/C][/ROW]
[ROW][C]88[/C][C]1.2617[/C][C]1.20189943770589[/C][C]0.0598005622941087[/C][/ROW]
[ROW][C]89[/C][C]1.2617[/C][C]1.26169563374299[/C][C]4.36625701039084e-06[/C][/ROW]
[ROW][C]90[/C][C]1.2703[/C][C]1.2616999996812[/C][C]0.00860000031879626[/C][/ROW]
[ROW][C]91[/C][C]1.3038[/C][C]1.27029937208263[/C][C]0.0335006279173682[/C][/ROW]
[ROW][C]92[/C][C]1.3248[/C][C]1.30379755399705[/C][C]0.021002446002945[/C][/ROW]
[ROW][C]93[/C][C]1.3414[/C][C]1.32479846653487[/C][C]0.016601533465131[/C][/ROW]
[ROW][C]94[/C][C]1.3825[/C][C]1.34139878786153[/C][C]0.0411012121384666[/C][/ROW]
[ROW][C]95[/C][C]1.3716[/C][C]1.3824969990507[/C][C]-0.0108969990506989[/C][/ROW]
[ROW][C]96[/C][C]1.3681[/C][C]1.37160079562962[/C][C]-0.00350079562961714[/C][/ROW]
[ROW][C]97[/C][C]1.4071[/C][C]1.36810025560585[/C][C]0.0389997443941514[/C][/ROW]
[ROW][C]98[/C][C]1.3715[/C][C]1.40709715248652[/C][C]-0.035597152486518[/C][/ROW]
[ROW][C]99[/C][C]1.3558[/C][C]1.37150259907785[/C][C]-0.0157025990778454[/C][/ROW]
[ROW][C]100[/C][C]1.3562[/C][C]1.35580114650399[/C][C]0.000398853496009766[/C][/ROW]
[ROW][C]101[/C][C]1.3692[/C][C]1.35619997087825[/C][C]0.0130000291217474[/C][/ROW]
[ROW][C]102[/C][C]1.3648[/C][C]1.36919905082049[/C][C]-0.00439905082049208[/C][/ROW]
[ROW][C]103[/C][C]1.3704[/C][C]1.36480032119073[/C][C]0.00559967880926626[/C][/ROW]
[ROW][C]104[/C][C]1.3504[/C][C]1.37039959114704[/C][C]-0.0199995911470408[/C][/ROW]
[ROW][C]105[/C][C]1.3592[/C][C]1.35040146024304[/C][C]0.008798539756957[/C][/ROW]
[ROW][C]106[/C][C]1.3863[/C][C]1.35919935758654[/C][C]0.0271006424134561[/C][/ROW]
[ROW][C]107[/C][C]1.3851[/C][C]1.38629802128332[/C][C]-0.00119802128332291[/C][/ROW]
[ROW][C]108[/C][C]1.4089[/C][C]1.3851000874719[/C][C]0.0237999125280997[/C][/ROW]
[ROW][C]109[/C][C]1.4303[/C][C]1.40889826228164[/C][C]0.021401737718358[/C][/ROW]
[ROW][C]110[/C][C]1.4468[/C][C]1.43029843738113[/C][C]0.0165015626188747[/C][/ROW]
[ROW][C]111[/C][C]1.5144[/C][C]1.44679879516077[/C][C]0.0676012048392305[/C][/ROW]
[ROW][C]112[/C][C]1.543[/C][C]1.51439506418965[/C][C]0.0286049358103539[/C][/ROW]
[ROW][C]113[/C][C]1.5116[/C][C]1.54299791144938[/C][C]-0.031397911449379[/C][/ROW]
[ROW][C]114[/C][C]1.4729[/C][C]1.51160229247595[/C][C]-0.0387022924759519[/C][/ROW]
[ROW][C]115[/C][C]1.4864[/C][C]1.47290282579543[/C][C]0.0134971742045666[/C][/ROW]
[ROW][C]116[/C][C]1.4724[/C][C]1.48639901452212[/C][C]-0.0139990145221178[/C][/ROW]
[ROW][C]117[/C][C]1.4535[/C][C]1.47240102211907[/C][C]-0.0189010221190729[/C][/ROW]
[ROW][C]118[/C][C]1.4805[/C][C]1.45350138003251[/C][C]0.0269986199674859[/C][/ROW]
[ROW][C]119[/C][C]1.4823[/C][C]1.48049802873235[/C][C]0.0018019712676467[/C][/ROW]
[ROW][C]120[/C][C]1.5257[/C][C]1.48229986843151[/C][C]0.04340013156849[/C][/ROW]
[ROW][C]121[/C][C]1.5278[/C][C]1.52569683119821[/C][C]0.00210316880178785[/C][/ROW]
[ROW][C]122[/C][C]1.5411[/C][C]1.52779984643998[/C][C]0.0133001535600195[/C][/ROW]
[ROW][C]123[/C][C]1.5462[/C][C]1.54109902890731[/C][C]0.00510097109268703[/C][/ROW]
[ROW][C]124[/C][C]1.5809[/C][C]1.54619962755951[/C][C]0.0347003724404913[/C][/ROW]
[ROW][C]125[/C][C]1.5946[/C][C]1.58089746639933[/C][C]0.0137025336006658[/C][/ROW]
[ROW][C]126[/C][C]1.5545[/C][C]1.59459899952808[/C][C]-0.0400989995280798[/C][/ROW]
[ROW][C]127[/C][C]1.5637[/C][C]1.55450292777411[/C][C]0.00919707222589428[/C][/ROW]
[ROW][C]128[/C][C]1.5696[/C][C]1.56369932848824[/C][C]0.00590067151176399[/C][/ROW]
[ROW][C]129[/C][C]1.5099[/C][C]1.56959956917047[/C][C]-0.0596995691704667[/C][/ROW]
[ROW][C]130[/C][C]1.3982[/C][C]1.50990435888313[/C][C]-0.111704358883134[/C][/ROW]
[ROW][C]131[/C][C]1.3806[/C][C]1.39820815594238[/C][C]-0.0176081559423753[/C][/ROW]
[ROW][C]132[/C][C]1.316[/C][C]1.38060128563564[/C][C]-0.0646012856356424[/C][/ROW]
[ROW][C]133[/C][C]1.3181[/C][C]1.31600471677532[/C][C]0.002095283224681[/C][/ROW]
[ROW][C]134[/C][C]1.3596[/C][C]1.31809984701574[/C][C]0.0415001529842649[/C][/ROW]
[ROW][C]135[/C][C]1.3078[/C][C]1.35959696992257[/C][C]-0.0517969699225733[/C][/ROW]
[ROW][C]136[/C][C]1.2209[/C][C]1.30780378188556[/C][C]-0.0869037818855605[/C][/ROW]
[ROW][C]137[/C][C]1.227[/C][C]1.22090634516186[/C][C]0.00609365483814295[/C][/ROW]
[ROW][C]138[/C][C]1.2439[/C][C]1.22699955508005[/C][C]0.0169004449199495[/C][/ROW]
[ROW][C]139[/C][C]1.2016[/C][C]1.24389876603692[/C][C]-0.0422987660369187[/C][/ROW]
[ROW][C]140[/C][C]1.1735[/C][C]1.20160308838708[/C][C]-0.0281030883870763[/C][/ROW]
[ROW][C]141[/C][C]1.1545[/C][C]1.17350205190891[/C][C]-0.0190020519089114[/C][/ROW]
[ROW][C]142[/C][C]1.1226[/C][C]1.15450138740907[/C][C]-0.0319013874090674[/C][/ROW]
[ROW][C]143[/C][C]1.1212[/C][C]1.12260232923657[/C][C]-0.00140232923656702[/C][/ROW]
[ROW][C]144[/C][C]1.1392[/C][C]1.12120010238917[/C][C]0.0179998976108313[/C][/ROW]
[ROW][C]145[/C][C]1.1718[/C][C]1.13919868576187[/C][C]0.0326013142381294[/C][/ROW]
[ROW][C]146[/C][C]1.0984[/C][C]1.17179761965922[/C][C]-0.0733976196592243[/C][/ROW]
[ROW][C]147[/C][C]1.0449[/C][C]1.09840535902773[/C][C]-0.0535053590277266[/C][/ROW]
[ROW][C]148[/C][C]0.9816[/C][C]1.04490390662128[/C][C]-0.0633039066212755[/C][/ROW]
[ROW][C]149[/C][C]1.0038[/C][C]0.981604622048949[/C][C]0.0221953779510514[/C][/ROW]
[ROW][C]150[/C][C]1.0099[/C][C]1.00379837943456[/C][C]0.0061016205654405[/C][/ROW]
[ROW][C]151[/C][C]1.0416[/C][C]1.00989955449844[/C][C]0.0317004455015564[/C][/ROW]
[ROW][C]152[/C][C]1.2118[/C][C]1.04159768543493[/C][C]0.170202314565066[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121918&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121918&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
21.01261.00860.004
31.01581.012599707945420.00320029205457906
41.00261.01579976633501-0.013199766335013
51.0031.002600963763050.000399036236950145
60.9881.00299997086491-0.01499997086491
70.98310.988001095202544-0.00490109520254389
80.9890.9831003578468240.00589964215317607
90.99720.9889995692456240.00820043075437626
1010.9971994012566620.00280059874333782
111.00390.9999997955180780.00390020448192174
120.99991.00389971523186-0.00399971523185561
130.980.999900292033787-0.0199002920337871
140.96540.980001452992853-0.0146014529928526
150.98090.9654010661053020.0154989338946985
160.98620.9808988683663470.00530113163365309
170.99860.9861996129450580.012400387054942
181.0220.9985990946025450.023400905397455
191.03091.021998291414610.0089017085853933
201.01761.03089935005381-0.0132993500538117
210.99531.01760097103402-0.0223009710340202
220.97910.995301628275176-0.0162016282751763
230.97760.97910118293993-0.00150118293993096
240.99230.9776001096068380.0146998903931621
251.02980.9922989267074250.0375010732925749
261.05261.029797261909960.0228027380900426
271.06981.052598335088980.017201664911018
281.10181.069798744043750.0320012559562504
291.11331.101797663471670.0115023365283338
301.12741.113299160172490.0141008398275129
311.14381.127398970446290.0164010295537098
321.17861.143798802501050.0348011974989453
331.18651.178597459037730.00790254096227061
341.15811.18649942300668-0.0283994230066817
351.16661.158102073545380.00849792645461789
361.1751.166599379535420.00840062046458323
371.16421.17499938664008-0.010799386640082
381.17061.164200788502580.00639921149742073
391.15871.17059953277025-0.0118995327702454
401.18411.158700868828260.0253991311717416
411.19361.184098145516860.00950185448314
421.19871.193599306234970.00510069376502775
431.21161.198699627579760.0129003724202423
441.19171.21159905809679-0.0198990580967913
451.2091.191701452902760.0172985470972415
461.24481.208998736970030.0358012630299722
471.251.24479738601930.00520261398070021
481.23161.24999962013819-0.0183996201381911
491.22761.23160134342333-0.00400134342332814
501.23131.227600292152670.00369970784733287
511.23291.231299729870850.00160027012915442
521.23851.232899883158450.00560011684155448
531.25541.238499591115060.0169004088849416
541.29271.255398766039550.0373012339604502
551.31391.292697276500960.0212027234990448
561.31861.313898451911880.00470154808812095
571.35421.318599656722840.0356003432771619
581.36971.354197400689180.0155025993108167
591.36011.36969886809872-0.00959886809872113
601.37961.360100700848350.0194992991516547
611.40411.37959857628510.0245014237149008
621.38451.40409821106175-0.0195982110617532
631.38551.384501430936820.000998569063179966
641.3851.38549992709083-0.000499927090833019
651.3381.3850000365015-0.0470000365014989
661.3331.33800343164397-0.00500343164396799
671.32241.33300036531878-0.0106003653187805
681.31131.32240077397131-0.0111007739713076
691.26761.31130081050797-0.0437008105079668
701.23011.26760319075545-0.0375031907554533
711.21931.23010273824465-0.0108027382446463
721.20681.21930078874729-0.0125007887472923
731.19191.20680091272815-0.0149009127281485
741.19331.191901087969950.00139891203005171
751.18261.19329989786033-0.0106998978603339
761.16861.18260078123854-0.0140007812385412
771.18281.168601022248070.0141989777519327
781.17061.18279896328088-0.0121989632808828
791.15341.17060089069077-0.0172008906907715
801.16131.153401255899720.00789874410027802
811.1561.1612994232839-0.00529942328390454
821.14911.15600038693021-0.00690038693020889
831.14381.1491005038224-0.00530050382239988
841.13491.1438003870091-0.0089003870091029
851.17751.13490064984970.0425993501503048
861.19421.177496889666180.016703110333818
871.20191.194198780445040.00770121955496395
881.26171.201899437705890.0598005622941087
891.26171.261695633742994.36625701039084e-06
901.27031.26169999968120.00860000031879626
911.30381.270299372082630.0335006279173682
921.32481.303797553997050.021002446002945
931.34141.324798466534870.016601533465131
941.38251.341398787861530.0411012121384666
951.37161.3824969990507-0.0108969990506989
961.36811.37160079562962-0.00350079562961714
971.40711.368100255605850.0389997443941514
981.37151.40709715248652-0.035597152486518
991.35581.37150259907785-0.0157025990778454
1001.35621.355801146503990.000398853496009766
1011.36921.356199970878250.0130000291217474
1021.36481.36919905082049-0.00439905082049208
1031.37041.364800321190730.00559967880926626
1041.35041.37039959114704-0.0199995911470408
1051.35921.350401460243040.008798539756957
1061.38631.359199357586540.0271006424134561
1071.38511.38629802128332-0.00119802128332291
1081.40891.38510008747190.0237999125280997
1091.43031.408898262281640.021401737718358
1101.44681.430298437381130.0165015626188747
1111.51441.446798795160770.0676012048392305
1121.5431.514395064189650.0286049358103539
1131.51161.54299791144938-0.031397911449379
1141.47291.51160229247595-0.0387022924759519
1151.48641.472902825795430.0134971742045666
1161.47241.48639901452212-0.0139990145221178
1171.45351.47240102211907-0.0189010221190729
1181.48051.453501380032510.0269986199674859
1191.48231.480498028732350.0018019712676467
1201.52571.482299868431510.04340013156849
1211.52781.525696831198210.00210316880178785
1221.54111.527799846439980.0133001535600195
1231.54621.541099028907310.00510097109268703
1241.58091.546199627559510.0347003724404913
1251.59461.580897466399330.0137025336006658
1261.55451.59459899952808-0.0400989995280798
1271.56371.554502927774110.00919707222589428
1281.56961.563699328488240.00590067151176399
1291.50991.56959956917047-0.0596995691704667
1301.39821.50990435888313-0.111704358883134
1311.38061.39820815594238-0.0176081559423753
1321.3161.38060128563564-0.0646012856356424
1331.31811.316004716775320.002095283224681
1341.35961.318099847015740.0415001529842649
1351.30781.35959696992257-0.0517969699225733
1361.22091.30780378188556-0.0869037818855605
1371.2271.220906345161860.00609365483814295
1381.24391.226999555080050.0169004449199495
1391.20161.24389876603692-0.0422987660369187
1401.17351.20160308838708-0.0281030883870763
1411.15451.17350205190891-0.0190020519089114
1421.12261.15450138740907-0.0319013874090674
1431.12121.12260232923657-0.00140232923656702
1441.13921.121200102389170.0179998976108313
1451.17181.139198685761870.0326013142381294
1461.09841.17179761965922-0.0733976196592243
1471.04491.09840535902773-0.0535053590277266
1480.98161.04490390662128-0.0633039066212755
1491.00380.9816046220489490.0221953779510514
1501.00991.003798379434560.0061016205654405
1511.04161.009899554498440.0317004455015564
1521.21181.041597685434930.170202314565066







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1531.211787572908671.152743849150611.27083129666673
1541.211787572908671.128290186276911.29528495954043
1551.211787572908671.109525821342161.31404932447518
1561.211787572908671.093706591829731.32986855398761
1571.211787572908671.079769504631331.34380564118601
1581.211787572908671.067169376920761.35640576889658
1591.211787572908671.055582339737971.36799280607937
1601.211787572908671.044797372211061.37877777360628
1611.211787572908671.03466789758111.38890724823624
1621.211787572908671.025087193564491.39848795225285
1631.211787572908671.015974693081081.40760045273626
1641.211787572908671.007267803288491.41630734252885

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
153 & 1.21178757290867 & 1.15274384915061 & 1.27083129666673 \tabularnewline
154 & 1.21178757290867 & 1.12829018627691 & 1.29528495954043 \tabularnewline
155 & 1.21178757290867 & 1.10952582134216 & 1.31404932447518 \tabularnewline
156 & 1.21178757290867 & 1.09370659182973 & 1.32986855398761 \tabularnewline
157 & 1.21178757290867 & 1.07976950463133 & 1.34380564118601 \tabularnewline
158 & 1.21178757290867 & 1.06716937692076 & 1.35640576889658 \tabularnewline
159 & 1.21178757290867 & 1.05558233973797 & 1.36799280607937 \tabularnewline
160 & 1.21178757290867 & 1.04479737221106 & 1.37877777360628 \tabularnewline
161 & 1.21178757290867 & 1.0346678975811 & 1.38890724823624 \tabularnewline
162 & 1.21178757290867 & 1.02508719356449 & 1.39848795225285 \tabularnewline
163 & 1.21178757290867 & 1.01597469308108 & 1.40760045273626 \tabularnewline
164 & 1.21178757290867 & 1.00726780328849 & 1.41630734252885 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121918&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]153[/C][C]1.21178757290867[/C][C]1.15274384915061[/C][C]1.27083129666673[/C][/ROW]
[ROW][C]154[/C][C]1.21178757290867[/C][C]1.12829018627691[/C][C]1.29528495954043[/C][/ROW]
[ROW][C]155[/C][C]1.21178757290867[/C][C]1.10952582134216[/C][C]1.31404932447518[/C][/ROW]
[ROW][C]156[/C][C]1.21178757290867[/C][C]1.09370659182973[/C][C]1.32986855398761[/C][/ROW]
[ROW][C]157[/C][C]1.21178757290867[/C][C]1.07976950463133[/C][C]1.34380564118601[/C][/ROW]
[ROW][C]158[/C][C]1.21178757290867[/C][C]1.06716937692076[/C][C]1.35640576889658[/C][/ROW]
[ROW][C]159[/C][C]1.21178757290867[/C][C]1.05558233973797[/C][C]1.36799280607937[/C][/ROW]
[ROW][C]160[/C][C]1.21178757290867[/C][C]1.04479737221106[/C][C]1.37877777360628[/C][/ROW]
[ROW][C]161[/C][C]1.21178757290867[/C][C]1.0346678975811[/C][C]1.38890724823624[/C][/ROW]
[ROW][C]162[/C][C]1.21178757290867[/C][C]1.02508719356449[/C][C]1.39848795225285[/C][/ROW]
[ROW][C]163[/C][C]1.21178757290867[/C][C]1.01597469308108[/C][C]1.40760045273626[/C][/ROW]
[ROW][C]164[/C][C]1.21178757290867[/C][C]1.00726780328849[/C][C]1.41630734252885[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121918&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121918&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
1531.211787572908671.152743849150611.27083129666673
1541.211787572908671.128290186276911.29528495954043
1551.211787572908671.109525821342161.31404932447518
1561.211787572908671.093706591829731.32986855398761
1571.211787572908671.079769504631331.34380564118601
1581.211787572908671.067169376920761.35640576889658
1591.211787572908671.055582339737971.36799280607937
1601.211787572908671.044797372211061.37877777360628
1611.211787572908671.03466789758111.38890724823624
1621.211787572908671.025087193564491.39848795225285
1631.211787572908671.015974693081081.40760045273626
1641.211787572908671.007267803288491.41630734252885



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