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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 computationWed, 05 Dec 2012 10:39:43 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/05/t1354722023rj3gxqudwe8ijb6.htm/, Retrieved Thu, 25 Apr 2024 12:32:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196879, Retrieved Thu, 25 Apr 2024 12:32:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [74be16979710d4c4e7c6647856088456]
- R  D    [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:33:35] [74be16979710d4c4e7c6647856088456]
- RM D      [Structural Time Series Models] [Workshop 8 - OLO ...] [2012-11-22 14:39:38] [9f87ad58f325f963ff5b3a15384d509e]
- RMPD          [Exponential Smoothing] [Paper stat - wiss...] [2012-12-05 15:39:43] [3353489d44052879174bf0d9e8b7362f] [Current]
Feedback Forum

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Dataseries X:
1.0137
0.9834
0.9643
0.9470
0.9060
0.9492
0.9397
0.9041
0.8721
0.8552
0.8564
0.8973
0.9383
0.9217
0.9095
0.8920
0.8742
0.8532
0.8607
0.9005
0.9111
0.9059
0.8883
0.8924
0.8833
0.8700
0.8758
0.8858
0.9170
0.9554
0.9922
0.9778
0.9808
0.9811
1.0014
1.0183
1.0622
1.0773
1.0807
1.0848
1.1582
1.1663
1.1372
1.1139
1.1222
1.1692
1.1702
1.2286
1.2613
1.2646
1.2262
1.1985
1.2007
1.2138
1.2266
1.2176
1.2218
1.2490
1.2991
1.3408
1.3119
1.3014
1.3201
1.2938
1.2694
1.2165
1.2037
1.2292
1.2256
1.2015
1.1786
1.1856
1.2103
1.1938
1.2020
1.2271
1.2770
1.2650
1.2684
1.2811
1.2727
1.2611
1.2881
1.3213
1.2999
1.3074
1.3242
1.3516
1.3511
1.3419
1.3716
1.3622
1.3896
1.4227
1.4684
1.4570
1.4718
1.4748
1.5527
1.5750
1.5557
1.5553
1.5770
1.4975
1.4369
1.3322
1.2732
1.3449
1.3239
1.2785
1.3050
1.3190
1.3650
1.4016
1.4088
1.4268
1.4562
1.4816
1.4914
1.4614
1.4272
1.3686
1.3569
1.3406
1.2565
1.2208
1.2770
1.2894
1.3067
1.3898
1.3661
1.3220
1.3360
1.3649
1.3999
1.4442
1.4349
1.4388
1.4264
1.4343
1.3770
1.3706
1.3556
1.3179
1.2905
1.3224
1.3201
1.3162
1.2789
1.2526
1.2288
1.2400
1.2856
1.2974
1.2828




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196879&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196879&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196879&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999950687374048
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999950687374048 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196879&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]0.999950687374048[/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=196879&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196879&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
alpha0.999950687374048
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
20.98341.0137-0.0303
30.96430.983401494172566-0.0191014941725663
40.9470.964300941944837-0.0173009419448373
50.9060.947000853154879-0.0410008531548787
60.94920.9060020218597350.0431979781402647
70.93970.949197869794262-0.00949786979426215
80.90410.939700468364901-0.0356004683649005
90.87210.90410175555258-0.0320017555525802
100.85520.872101578090601-0.0169015780906014
110.85640.8552008334611980.0011991665388017
120.89730.8563999408659490.0409000591340509
130.93830.8972979831106830.0410020168893175
140.92170.938297978082878-0.0165979780828779
150.90950.921700818489885-0.0122008184898847
160.8920.909500601654398-0.0175006016543985
170.87420.892000863000623-0.0178008630006233
180.85320.874200877807299-0.0210008778072988
190.86070.8532010356084320.00749896439156805
200.90050.8606996302063740.039800369793626
210.91110.9004980373392520.0106019626607484
220.90590.911099477189381-0.00519947718938096
230.88830.905900256399874-0.0176002563998738
240.89240.8883008679148610.00409913208513946
250.88330.892399797861033-0.00909979786103277
260.870.883300448734928-0.0133004487349281
270.87580.8700006558800530.00579934411994654
280.88580.8757997140191130.0100002859808873
290.9170.8857995068596380.031200493140362
300.95540.9169984614217520.0384015385782477
310.99220.9553981063192920.0368018936807079
320.97780.992198185201983-0.0143981852019825
330.98080.9778007100123210.00299928998767873
340.98110.9807998520971350.000300147902865255
351.00140.9810999851989190.0203000148010813
361.01831.001398998952960.0169010010470365
371.06221.018299166567260.0439008334327429
381.07731.062197835134620.015102164865378
391.08071.077299255272590.00340074472740715
401.08481.080699832300350.0041001676996526
411.15821.084799797809960.073400202190036
421.16631.158196380443280.00810361955671546
431.13721.16629960038924-0.0290996003892399
441.11391.13720143497771-0.0233014349777094
451.12221.113901149054950.008298850945053
461.16921.122199590761870.0470004092381324
471.17021.16919768228640.00100231771360026
481.22861.170199950573080.0584000494269186
491.26131.228597120140210.032702879859793
501.26461.261298387335120.00330161266488194
511.22621.26459983718881-0.0383998371888097
521.19851.22620189359681-0.0277018935968079
531.20071.198501366053120.00219863394688313
541.21381.200699891579590.0131001084204134
551.22661.213799353999250.0128006460007464
561.21761.22659936876653-0.00899936876653173
571.22181.217600443782510.00419955621749413
581.2491.221799792908860.027200207091145
591.29911.248998658686360.050101341313638
601.34081.29909752937130.0417024706287039
611.31191.34079794354166-0.0288979435416645
621.30141.31190142503348-0.0105014250334807
631.32011.301400517852840.0186994821471556
641.29381.32009907787943-0.0262990778794314
651.26941.29380129687659-0.0244012968765903
661.21651.26940120329203-0.0529012032920257
671.20371.21650260869725-0.0128026086972504
681.22921.203700631330250.0254993686697462
691.22561.22919874255917-0.00359874255917081
701.20151.22560017746345-0.0241001774634457
711.17861.20150118844304-0.0229011884430366
721.18561.178601129317740.00699887068226035
731.21031.185599654867310.0247003451326919
741.19381.21029878196112-0.0164987819611195
751.2021.193800813598260.00819918640173656
761.22711.201999595676590.0251004043234122
771.2771.227098762233150.0499012377668495
781.2651.27699753923893-0.0119975392389275
791.26841.265000591630160.00339940836983521
801.28111.268399832366250.0127001676337533
811.27271.28109937372138-0.00839937372138388
821.26111.27270041419517-0.0116004141951744
831.28811.261100572046890.0269994279531138
841.32131.288098668587310.0332013314126915
851.29991.32129836275516-0.0213983627551628
861.30741.299901055209460.00749894479054136
871.32421.307399630207340.0168003697926595
881.35161.324199171529650.0274008284703513
891.35111.35159864879319-0.000498648793194834
901.34191.35110002458968-0.00920002458968128
911.37161.341900453677370.0296995463226284
921.36221.37159853543738-0.00939853543738112
931.38961.362200463466460.0273995365335373
941.42271.38959864885690.0331013511430964
951.46841.422698367685450.0457016323145474
961.4571.4683977463325-0.0113977463325001
971.47181.45700056205280.0147994379471983
981.47481.471799270200850.00300072979914789
991.55271.474799852026130.0779001479738661
1001.5751.552696158539140.0223038414608585
1011.55571.57499890013901-0.0192989001390087
1021.55531.55570095167944-0.000400951679444095
1031.5771.555300019771980.0216999802280198
1041.49751.57699892991699-0.0794989299169917
1051.43691.49750392030099-0.0606039203009945
1061.33221.43690298853845-0.104702988538453
1071.27321.33220516317931-0.0590051631793098
1081.34491.273202909699540.0716970903004588
1091.32391.3448964644282-0.0209964644282041
1101.27851.3239010353908-0.0454010353907968
1111.3051.278502238844280.026497761155724
1121.3191.304998693325820.0140013066741844
1131.3651.31899930955880.0460006904411989
1141.40161.364997731585160.0366022684148413
1151.40881.401598195046030.00720180495397149
1161.42681.408799644860090.0180003551399139
1171.45621.426799112355220.02940088764478
1181.48161.456198550165020.0254014498349753
1191.49141.481598747387810.00980125261219444
1201.46141.4913995166745-0.0299995166744962
1211.42721.46140147935494-0.0342014793549446
1221.36861.42720168656476-0.0586016865647585
1231.35691.36860288980305-0.0117028898030498
1241.34061.35690057710023-0.0163005771002274
1251.25651.34060080382426-0.0841008038242614
1261.22081.25650414723148-0.035704147231481
1271.2771.220801760665260.0561982393347424
1281.28941.276997228717240.0124027712827557
1291.30671.289399388386780.0173006116132208
1301.38981.306699146861410.0831008531385893
1311.36611.38979590207871-0.0236959020787126
1321.3221.36610116850716-0.0441011685071557
1331.3361.322002174744430.0139978252555735
1341.36491.335999309730480.0289006902695208
1351.39991.364898574831070.035001425168929
1361.44421.399898273987810.0443017260121872
1371.43491.44419781536556-0.00929781536555607
1381.43881.434900458499690.00389954150030869
1391.42641.43879980770337-0.0123998077033689
1401.43431.426400611467080.00789938853292083
1411.3771.43429961046041-0.057299610460408
1421.37061.37700282559426-0.00640282559425787
1431.35561.37060031574014-0.0150003157401437
1441.31791.35560073970496-0.0377007397049591
1451.29051.31790185912248-0.0274018591224752
1461.32241.290501351257630.0318986487423707
1471.32011.32239842699387-0.00229842699386618
1481.31621.32010011334147-0.00390011334147067
1491.27891.31620019232483-0.0373001923248304
1501.25261.27890183937043-0.026301839370432
1511.22881.25260129701277-0.0238012970127668
1521.241.228801173704460.0111988262955434
1531.28561.239999447756470.0456005522435323
1541.29741.285597751317020.0118022486829761
1551.28281.29739941800013-0.0145994180001254

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 0.9834 & 1.0137 & -0.0303 \tabularnewline
3 & 0.9643 & 0.983401494172566 & -0.0191014941725663 \tabularnewline
4 & 0.947 & 0.964300941944837 & -0.0173009419448373 \tabularnewline
5 & 0.906 & 0.947000853154879 & -0.0410008531548787 \tabularnewline
6 & 0.9492 & 0.906002021859735 & 0.0431979781402647 \tabularnewline
7 & 0.9397 & 0.949197869794262 & -0.00949786979426215 \tabularnewline
8 & 0.9041 & 0.939700468364901 & -0.0356004683649005 \tabularnewline
9 & 0.8721 & 0.90410175555258 & -0.0320017555525802 \tabularnewline
10 & 0.8552 & 0.872101578090601 & -0.0169015780906014 \tabularnewline
11 & 0.8564 & 0.855200833461198 & 0.0011991665388017 \tabularnewline
12 & 0.8973 & 0.856399940865949 & 0.0409000591340509 \tabularnewline
13 & 0.9383 & 0.897297983110683 & 0.0410020168893175 \tabularnewline
14 & 0.9217 & 0.938297978082878 & -0.0165979780828779 \tabularnewline
15 & 0.9095 & 0.921700818489885 & -0.0122008184898847 \tabularnewline
16 & 0.892 & 0.909500601654398 & -0.0175006016543985 \tabularnewline
17 & 0.8742 & 0.892000863000623 & -0.0178008630006233 \tabularnewline
18 & 0.8532 & 0.874200877807299 & -0.0210008778072988 \tabularnewline
19 & 0.8607 & 0.853201035608432 & 0.00749896439156805 \tabularnewline
20 & 0.9005 & 0.860699630206374 & 0.039800369793626 \tabularnewline
21 & 0.9111 & 0.900498037339252 & 0.0106019626607484 \tabularnewline
22 & 0.9059 & 0.911099477189381 & -0.00519947718938096 \tabularnewline
23 & 0.8883 & 0.905900256399874 & -0.0176002563998738 \tabularnewline
24 & 0.8924 & 0.888300867914861 & 0.00409913208513946 \tabularnewline
25 & 0.8833 & 0.892399797861033 & -0.00909979786103277 \tabularnewline
26 & 0.87 & 0.883300448734928 & -0.0133004487349281 \tabularnewline
27 & 0.8758 & 0.870000655880053 & 0.00579934411994654 \tabularnewline
28 & 0.8858 & 0.875799714019113 & 0.0100002859808873 \tabularnewline
29 & 0.917 & 0.885799506859638 & 0.031200493140362 \tabularnewline
30 & 0.9554 & 0.916998461421752 & 0.0384015385782477 \tabularnewline
31 & 0.9922 & 0.955398106319292 & 0.0368018936807079 \tabularnewline
32 & 0.9778 & 0.992198185201983 & -0.0143981852019825 \tabularnewline
33 & 0.9808 & 0.977800710012321 & 0.00299928998767873 \tabularnewline
34 & 0.9811 & 0.980799852097135 & 0.000300147902865255 \tabularnewline
35 & 1.0014 & 0.981099985198919 & 0.0203000148010813 \tabularnewline
36 & 1.0183 & 1.00139899895296 & 0.0169010010470365 \tabularnewline
37 & 1.0622 & 1.01829916656726 & 0.0439008334327429 \tabularnewline
38 & 1.0773 & 1.06219783513462 & 0.015102164865378 \tabularnewline
39 & 1.0807 & 1.07729925527259 & 0.00340074472740715 \tabularnewline
40 & 1.0848 & 1.08069983230035 & 0.0041001676996526 \tabularnewline
41 & 1.1582 & 1.08479979780996 & 0.073400202190036 \tabularnewline
42 & 1.1663 & 1.15819638044328 & 0.00810361955671546 \tabularnewline
43 & 1.1372 & 1.16629960038924 & -0.0290996003892399 \tabularnewline
44 & 1.1139 & 1.13720143497771 & -0.0233014349777094 \tabularnewline
45 & 1.1222 & 1.11390114905495 & 0.008298850945053 \tabularnewline
46 & 1.1692 & 1.12219959076187 & 0.0470004092381324 \tabularnewline
47 & 1.1702 & 1.1691976822864 & 0.00100231771360026 \tabularnewline
48 & 1.2286 & 1.17019995057308 & 0.0584000494269186 \tabularnewline
49 & 1.2613 & 1.22859712014021 & 0.032702879859793 \tabularnewline
50 & 1.2646 & 1.26129838733512 & 0.00330161266488194 \tabularnewline
51 & 1.2262 & 1.26459983718881 & -0.0383998371888097 \tabularnewline
52 & 1.1985 & 1.22620189359681 & -0.0277018935968079 \tabularnewline
53 & 1.2007 & 1.19850136605312 & 0.00219863394688313 \tabularnewline
54 & 1.2138 & 1.20069989157959 & 0.0131001084204134 \tabularnewline
55 & 1.2266 & 1.21379935399925 & 0.0128006460007464 \tabularnewline
56 & 1.2176 & 1.22659936876653 & -0.00899936876653173 \tabularnewline
57 & 1.2218 & 1.21760044378251 & 0.00419955621749413 \tabularnewline
58 & 1.249 & 1.22179979290886 & 0.027200207091145 \tabularnewline
59 & 1.2991 & 1.24899865868636 & 0.050101341313638 \tabularnewline
60 & 1.3408 & 1.2990975293713 & 0.0417024706287039 \tabularnewline
61 & 1.3119 & 1.34079794354166 & -0.0288979435416645 \tabularnewline
62 & 1.3014 & 1.31190142503348 & -0.0105014250334807 \tabularnewline
63 & 1.3201 & 1.30140051785284 & 0.0186994821471556 \tabularnewline
64 & 1.2938 & 1.32009907787943 & -0.0262990778794314 \tabularnewline
65 & 1.2694 & 1.29380129687659 & -0.0244012968765903 \tabularnewline
66 & 1.2165 & 1.26940120329203 & -0.0529012032920257 \tabularnewline
67 & 1.2037 & 1.21650260869725 & -0.0128026086972504 \tabularnewline
68 & 1.2292 & 1.20370063133025 & 0.0254993686697462 \tabularnewline
69 & 1.2256 & 1.22919874255917 & -0.00359874255917081 \tabularnewline
70 & 1.2015 & 1.22560017746345 & -0.0241001774634457 \tabularnewline
71 & 1.1786 & 1.20150118844304 & -0.0229011884430366 \tabularnewline
72 & 1.1856 & 1.17860112931774 & 0.00699887068226035 \tabularnewline
73 & 1.2103 & 1.18559965486731 & 0.0247003451326919 \tabularnewline
74 & 1.1938 & 1.21029878196112 & -0.0164987819611195 \tabularnewline
75 & 1.202 & 1.19380081359826 & 0.00819918640173656 \tabularnewline
76 & 1.2271 & 1.20199959567659 & 0.0251004043234122 \tabularnewline
77 & 1.277 & 1.22709876223315 & 0.0499012377668495 \tabularnewline
78 & 1.265 & 1.27699753923893 & -0.0119975392389275 \tabularnewline
79 & 1.2684 & 1.26500059163016 & 0.00339940836983521 \tabularnewline
80 & 1.2811 & 1.26839983236625 & 0.0127001676337533 \tabularnewline
81 & 1.2727 & 1.28109937372138 & -0.00839937372138388 \tabularnewline
82 & 1.2611 & 1.27270041419517 & -0.0116004141951744 \tabularnewline
83 & 1.2881 & 1.26110057204689 & 0.0269994279531138 \tabularnewline
84 & 1.3213 & 1.28809866858731 & 0.0332013314126915 \tabularnewline
85 & 1.2999 & 1.32129836275516 & -0.0213983627551628 \tabularnewline
86 & 1.3074 & 1.29990105520946 & 0.00749894479054136 \tabularnewline
87 & 1.3242 & 1.30739963020734 & 0.0168003697926595 \tabularnewline
88 & 1.3516 & 1.32419917152965 & 0.0274008284703513 \tabularnewline
89 & 1.3511 & 1.35159864879319 & -0.000498648793194834 \tabularnewline
90 & 1.3419 & 1.35110002458968 & -0.00920002458968128 \tabularnewline
91 & 1.3716 & 1.34190045367737 & 0.0296995463226284 \tabularnewline
92 & 1.3622 & 1.37159853543738 & -0.00939853543738112 \tabularnewline
93 & 1.3896 & 1.36220046346646 & 0.0273995365335373 \tabularnewline
94 & 1.4227 & 1.3895986488569 & 0.0331013511430964 \tabularnewline
95 & 1.4684 & 1.42269836768545 & 0.0457016323145474 \tabularnewline
96 & 1.457 & 1.4683977463325 & -0.0113977463325001 \tabularnewline
97 & 1.4718 & 1.4570005620528 & 0.0147994379471983 \tabularnewline
98 & 1.4748 & 1.47179927020085 & 0.00300072979914789 \tabularnewline
99 & 1.5527 & 1.47479985202613 & 0.0779001479738661 \tabularnewline
100 & 1.575 & 1.55269615853914 & 0.0223038414608585 \tabularnewline
101 & 1.5557 & 1.57499890013901 & -0.0192989001390087 \tabularnewline
102 & 1.5553 & 1.55570095167944 & -0.000400951679444095 \tabularnewline
103 & 1.577 & 1.55530001977198 & 0.0216999802280198 \tabularnewline
104 & 1.4975 & 1.57699892991699 & -0.0794989299169917 \tabularnewline
105 & 1.4369 & 1.49750392030099 & -0.0606039203009945 \tabularnewline
106 & 1.3322 & 1.43690298853845 & -0.104702988538453 \tabularnewline
107 & 1.2732 & 1.33220516317931 & -0.0590051631793098 \tabularnewline
108 & 1.3449 & 1.27320290969954 & 0.0716970903004588 \tabularnewline
109 & 1.3239 & 1.3448964644282 & -0.0209964644282041 \tabularnewline
110 & 1.2785 & 1.3239010353908 & -0.0454010353907968 \tabularnewline
111 & 1.305 & 1.27850223884428 & 0.026497761155724 \tabularnewline
112 & 1.319 & 1.30499869332582 & 0.0140013066741844 \tabularnewline
113 & 1.365 & 1.3189993095588 & 0.0460006904411989 \tabularnewline
114 & 1.4016 & 1.36499773158516 & 0.0366022684148413 \tabularnewline
115 & 1.4088 & 1.40159819504603 & 0.00720180495397149 \tabularnewline
116 & 1.4268 & 1.40879964486009 & 0.0180003551399139 \tabularnewline
117 & 1.4562 & 1.42679911235522 & 0.02940088764478 \tabularnewline
118 & 1.4816 & 1.45619855016502 & 0.0254014498349753 \tabularnewline
119 & 1.4914 & 1.48159874738781 & 0.00980125261219444 \tabularnewline
120 & 1.4614 & 1.4913995166745 & -0.0299995166744962 \tabularnewline
121 & 1.4272 & 1.46140147935494 & -0.0342014793549446 \tabularnewline
122 & 1.3686 & 1.42720168656476 & -0.0586016865647585 \tabularnewline
123 & 1.3569 & 1.36860288980305 & -0.0117028898030498 \tabularnewline
124 & 1.3406 & 1.35690057710023 & -0.0163005771002274 \tabularnewline
125 & 1.2565 & 1.34060080382426 & -0.0841008038242614 \tabularnewline
126 & 1.2208 & 1.25650414723148 & -0.035704147231481 \tabularnewline
127 & 1.277 & 1.22080176066526 & 0.0561982393347424 \tabularnewline
128 & 1.2894 & 1.27699722871724 & 0.0124027712827557 \tabularnewline
129 & 1.3067 & 1.28939938838678 & 0.0173006116132208 \tabularnewline
130 & 1.3898 & 1.30669914686141 & 0.0831008531385893 \tabularnewline
131 & 1.3661 & 1.38979590207871 & -0.0236959020787126 \tabularnewline
132 & 1.322 & 1.36610116850716 & -0.0441011685071557 \tabularnewline
133 & 1.336 & 1.32200217474443 & 0.0139978252555735 \tabularnewline
134 & 1.3649 & 1.33599930973048 & 0.0289006902695208 \tabularnewline
135 & 1.3999 & 1.36489857483107 & 0.035001425168929 \tabularnewline
136 & 1.4442 & 1.39989827398781 & 0.0443017260121872 \tabularnewline
137 & 1.4349 & 1.44419781536556 & -0.00929781536555607 \tabularnewline
138 & 1.4388 & 1.43490045849969 & 0.00389954150030869 \tabularnewline
139 & 1.4264 & 1.43879980770337 & -0.0123998077033689 \tabularnewline
140 & 1.4343 & 1.42640061146708 & 0.00789938853292083 \tabularnewline
141 & 1.377 & 1.43429961046041 & -0.057299610460408 \tabularnewline
142 & 1.3706 & 1.37700282559426 & -0.00640282559425787 \tabularnewline
143 & 1.3556 & 1.37060031574014 & -0.0150003157401437 \tabularnewline
144 & 1.3179 & 1.35560073970496 & -0.0377007397049591 \tabularnewline
145 & 1.2905 & 1.31790185912248 & -0.0274018591224752 \tabularnewline
146 & 1.3224 & 1.29050135125763 & 0.0318986487423707 \tabularnewline
147 & 1.3201 & 1.32239842699387 & -0.00229842699386618 \tabularnewline
148 & 1.3162 & 1.32010011334147 & -0.00390011334147067 \tabularnewline
149 & 1.2789 & 1.31620019232483 & -0.0373001923248304 \tabularnewline
150 & 1.2526 & 1.27890183937043 & -0.026301839370432 \tabularnewline
151 & 1.2288 & 1.25260129701277 & -0.0238012970127668 \tabularnewline
152 & 1.24 & 1.22880117370446 & 0.0111988262955434 \tabularnewline
153 & 1.2856 & 1.23999944775647 & 0.0456005522435323 \tabularnewline
154 & 1.2974 & 1.28559775131702 & 0.0118022486829761 \tabularnewline
155 & 1.2828 & 1.29739941800013 & -0.0145994180001254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196879&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]0.9834[/C][C]1.0137[/C][C]-0.0303[/C][/ROW]
[ROW][C]3[/C][C]0.9643[/C][C]0.983401494172566[/C][C]-0.0191014941725663[/C][/ROW]
[ROW][C]4[/C][C]0.947[/C][C]0.964300941944837[/C][C]-0.0173009419448373[/C][/ROW]
[ROW][C]5[/C][C]0.906[/C][C]0.947000853154879[/C][C]-0.0410008531548787[/C][/ROW]
[ROW][C]6[/C][C]0.9492[/C][C]0.906002021859735[/C][C]0.0431979781402647[/C][/ROW]
[ROW][C]7[/C][C]0.9397[/C][C]0.949197869794262[/C][C]-0.00949786979426215[/C][/ROW]
[ROW][C]8[/C][C]0.9041[/C][C]0.939700468364901[/C][C]-0.0356004683649005[/C][/ROW]
[ROW][C]9[/C][C]0.8721[/C][C]0.90410175555258[/C][C]-0.0320017555525802[/C][/ROW]
[ROW][C]10[/C][C]0.8552[/C][C]0.872101578090601[/C][C]-0.0169015780906014[/C][/ROW]
[ROW][C]11[/C][C]0.8564[/C][C]0.855200833461198[/C][C]0.0011991665388017[/C][/ROW]
[ROW][C]12[/C][C]0.8973[/C][C]0.856399940865949[/C][C]0.0409000591340509[/C][/ROW]
[ROW][C]13[/C][C]0.9383[/C][C]0.897297983110683[/C][C]0.0410020168893175[/C][/ROW]
[ROW][C]14[/C][C]0.9217[/C][C]0.938297978082878[/C][C]-0.0165979780828779[/C][/ROW]
[ROW][C]15[/C][C]0.9095[/C][C]0.921700818489885[/C][C]-0.0122008184898847[/C][/ROW]
[ROW][C]16[/C][C]0.892[/C][C]0.909500601654398[/C][C]-0.0175006016543985[/C][/ROW]
[ROW][C]17[/C][C]0.8742[/C][C]0.892000863000623[/C][C]-0.0178008630006233[/C][/ROW]
[ROW][C]18[/C][C]0.8532[/C][C]0.874200877807299[/C][C]-0.0210008778072988[/C][/ROW]
[ROW][C]19[/C][C]0.8607[/C][C]0.853201035608432[/C][C]0.00749896439156805[/C][/ROW]
[ROW][C]20[/C][C]0.9005[/C][C]0.860699630206374[/C][C]0.039800369793626[/C][/ROW]
[ROW][C]21[/C][C]0.9111[/C][C]0.900498037339252[/C][C]0.0106019626607484[/C][/ROW]
[ROW][C]22[/C][C]0.9059[/C][C]0.911099477189381[/C][C]-0.00519947718938096[/C][/ROW]
[ROW][C]23[/C][C]0.8883[/C][C]0.905900256399874[/C][C]-0.0176002563998738[/C][/ROW]
[ROW][C]24[/C][C]0.8924[/C][C]0.888300867914861[/C][C]0.00409913208513946[/C][/ROW]
[ROW][C]25[/C][C]0.8833[/C][C]0.892399797861033[/C][C]-0.00909979786103277[/C][/ROW]
[ROW][C]26[/C][C]0.87[/C][C]0.883300448734928[/C][C]-0.0133004487349281[/C][/ROW]
[ROW][C]27[/C][C]0.8758[/C][C]0.870000655880053[/C][C]0.00579934411994654[/C][/ROW]
[ROW][C]28[/C][C]0.8858[/C][C]0.875799714019113[/C][C]0.0100002859808873[/C][/ROW]
[ROW][C]29[/C][C]0.917[/C][C]0.885799506859638[/C][C]0.031200493140362[/C][/ROW]
[ROW][C]30[/C][C]0.9554[/C][C]0.916998461421752[/C][C]0.0384015385782477[/C][/ROW]
[ROW][C]31[/C][C]0.9922[/C][C]0.955398106319292[/C][C]0.0368018936807079[/C][/ROW]
[ROW][C]32[/C][C]0.9778[/C][C]0.992198185201983[/C][C]-0.0143981852019825[/C][/ROW]
[ROW][C]33[/C][C]0.9808[/C][C]0.977800710012321[/C][C]0.00299928998767873[/C][/ROW]
[ROW][C]34[/C][C]0.9811[/C][C]0.980799852097135[/C][C]0.000300147902865255[/C][/ROW]
[ROW][C]35[/C][C]1.0014[/C][C]0.981099985198919[/C][C]0.0203000148010813[/C][/ROW]
[ROW][C]36[/C][C]1.0183[/C][C]1.00139899895296[/C][C]0.0169010010470365[/C][/ROW]
[ROW][C]37[/C][C]1.0622[/C][C]1.01829916656726[/C][C]0.0439008334327429[/C][/ROW]
[ROW][C]38[/C][C]1.0773[/C][C]1.06219783513462[/C][C]0.015102164865378[/C][/ROW]
[ROW][C]39[/C][C]1.0807[/C][C]1.07729925527259[/C][C]0.00340074472740715[/C][/ROW]
[ROW][C]40[/C][C]1.0848[/C][C]1.08069983230035[/C][C]0.0041001676996526[/C][/ROW]
[ROW][C]41[/C][C]1.1582[/C][C]1.08479979780996[/C][C]0.073400202190036[/C][/ROW]
[ROW][C]42[/C][C]1.1663[/C][C]1.15819638044328[/C][C]0.00810361955671546[/C][/ROW]
[ROW][C]43[/C][C]1.1372[/C][C]1.16629960038924[/C][C]-0.0290996003892399[/C][/ROW]
[ROW][C]44[/C][C]1.1139[/C][C]1.13720143497771[/C][C]-0.0233014349777094[/C][/ROW]
[ROW][C]45[/C][C]1.1222[/C][C]1.11390114905495[/C][C]0.008298850945053[/C][/ROW]
[ROW][C]46[/C][C]1.1692[/C][C]1.12219959076187[/C][C]0.0470004092381324[/C][/ROW]
[ROW][C]47[/C][C]1.1702[/C][C]1.1691976822864[/C][C]0.00100231771360026[/C][/ROW]
[ROW][C]48[/C][C]1.2286[/C][C]1.17019995057308[/C][C]0.0584000494269186[/C][/ROW]
[ROW][C]49[/C][C]1.2613[/C][C]1.22859712014021[/C][C]0.032702879859793[/C][/ROW]
[ROW][C]50[/C][C]1.2646[/C][C]1.26129838733512[/C][C]0.00330161266488194[/C][/ROW]
[ROW][C]51[/C][C]1.2262[/C][C]1.26459983718881[/C][C]-0.0383998371888097[/C][/ROW]
[ROW][C]52[/C][C]1.1985[/C][C]1.22620189359681[/C][C]-0.0277018935968079[/C][/ROW]
[ROW][C]53[/C][C]1.2007[/C][C]1.19850136605312[/C][C]0.00219863394688313[/C][/ROW]
[ROW][C]54[/C][C]1.2138[/C][C]1.20069989157959[/C][C]0.0131001084204134[/C][/ROW]
[ROW][C]55[/C][C]1.2266[/C][C]1.21379935399925[/C][C]0.0128006460007464[/C][/ROW]
[ROW][C]56[/C][C]1.2176[/C][C]1.22659936876653[/C][C]-0.00899936876653173[/C][/ROW]
[ROW][C]57[/C][C]1.2218[/C][C]1.21760044378251[/C][C]0.00419955621749413[/C][/ROW]
[ROW][C]58[/C][C]1.249[/C][C]1.22179979290886[/C][C]0.027200207091145[/C][/ROW]
[ROW][C]59[/C][C]1.2991[/C][C]1.24899865868636[/C][C]0.050101341313638[/C][/ROW]
[ROW][C]60[/C][C]1.3408[/C][C]1.2990975293713[/C][C]0.0417024706287039[/C][/ROW]
[ROW][C]61[/C][C]1.3119[/C][C]1.34079794354166[/C][C]-0.0288979435416645[/C][/ROW]
[ROW][C]62[/C][C]1.3014[/C][C]1.31190142503348[/C][C]-0.0105014250334807[/C][/ROW]
[ROW][C]63[/C][C]1.3201[/C][C]1.30140051785284[/C][C]0.0186994821471556[/C][/ROW]
[ROW][C]64[/C][C]1.2938[/C][C]1.32009907787943[/C][C]-0.0262990778794314[/C][/ROW]
[ROW][C]65[/C][C]1.2694[/C][C]1.29380129687659[/C][C]-0.0244012968765903[/C][/ROW]
[ROW][C]66[/C][C]1.2165[/C][C]1.26940120329203[/C][C]-0.0529012032920257[/C][/ROW]
[ROW][C]67[/C][C]1.2037[/C][C]1.21650260869725[/C][C]-0.0128026086972504[/C][/ROW]
[ROW][C]68[/C][C]1.2292[/C][C]1.20370063133025[/C][C]0.0254993686697462[/C][/ROW]
[ROW][C]69[/C][C]1.2256[/C][C]1.22919874255917[/C][C]-0.00359874255917081[/C][/ROW]
[ROW][C]70[/C][C]1.2015[/C][C]1.22560017746345[/C][C]-0.0241001774634457[/C][/ROW]
[ROW][C]71[/C][C]1.1786[/C][C]1.20150118844304[/C][C]-0.0229011884430366[/C][/ROW]
[ROW][C]72[/C][C]1.1856[/C][C]1.17860112931774[/C][C]0.00699887068226035[/C][/ROW]
[ROW][C]73[/C][C]1.2103[/C][C]1.18559965486731[/C][C]0.0247003451326919[/C][/ROW]
[ROW][C]74[/C][C]1.1938[/C][C]1.21029878196112[/C][C]-0.0164987819611195[/C][/ROW]
[ROW][C]75[/C][C]1.202[/C][C]1.19380081359826[/C][C]0.00819918640173656[/C][/ROW]
[ROW][C]76[/C][C]1.2271[/C][C]1.20199959567659[/C][C]0.0251004043234122[/C][/ROW]
[ROW][C]77[/C][C]1.277[/C][C]1.22709876223315[/C][C]0.0499012377668495[/C][/ROW]
[ROW][C]78[/C][C]1.265[/C][C]1.27699753923893[/C][C]-0.0119975392389275[/C][/ROW]
[ROW][C]79[/C][C]1.2684[/C][C]1.26500059163016[/C][C]0.00339940836983521[/C][/ROW]
[ROW][C]80[/C][C]1.2811[/C][C]1.26839983236625[/C][C]0.0127001676337533[/C][/ROW]
[ROW][C]81[/C][C]1.2727[/C][C]1.28109937372138[/C][C]-0.00839937372138388[/C][/ROW]
[ROW][C]82[/C][C]1.2611[/C][C]1.27270041419517[/C][C]-0.0116004141951744[/C][/ROW]
[ROW][C]83[/C][C]1.2881[/C][C]1.26110057204689[/C][C]0.0269994279531138[/C][/ROW]
[ROW][C]84[/C][C]1.3213[/C][C]1.28809866858731[/C][C]0.0332013314126915[/C][/ROW]
[ROW][C]85[/C][C]1.2999[/C][C]1.32129836275516[/C][C]-0.0213983627551628[/C][/ROW]
[ROW][C]86[/C][C]1.3074[/C][C]1.29990105520946[/C][C]0.00749894479054136[/C][/ROW]
[ROW][C]87[/C][C]1.3242[/C][C]1.30739963020734[/C][C]0.0168003697926595[/C][/ROW]
[ROW][C]88[/C][C]1.3516[/C][C]1.32419917152965[/C][C]0.0274008284703513[/C][/ROW]
[ROW][C]89[/C][C]1.3511[/C][C]1.35159864879319[/C][C]-0.000498648793194834[/C][/ROW]
[ROW][C]90[/C][C]1.3419[/C][C]1.35110002458968[/C][C]-0.00920002458968128[/C][/ROW]
[ROW][C]91[/C][C]1.3716[/C][C]1.34190045367737[/C][C]0.0296995463226284[/C][/ROW]
[ROW][C]92[/C][C]1.3622[/C][C]1.37159853543738[/C][C]-0.00939853543738112[/C][/ROW]
[ROW][C]93[/C][C]1.3896[/C][C]1.36220046346646[/C][C]0.0273995365335373[/C][/ROW]
[ROW][C]94[/C][C]1.4227[/C][C]1.3895986488569[/C][C]0.0331013511430964[/C][/ROW]
[ROW][C]95[/C][C]1.4684[/C][C]1.42269836768545[/C][C]0.0457016323145474[/C][/ROW]
[ROW][C]96[/C][C]1.457[/C][C]1.4683977463325[/C][C]-0.0113977463325001[/C][/ROW]
[ROW][C]97[/C][C]1.4718[/C][C]1.4570005620528[/C][C]0.0147994379471983[/C][/ROW]
[ROW][C]98[/C][C]1.4748[/C][C]1.47179927020085[/C][C]0.00300072979914789[/C][/ROW]
[ROW][C]99[/C][C]1.5527[/C][C]1.47479985202613[/C][C]0.0779001479738661[/C][/ROW]
[ROW][C]100[/C][C]1.575[/C][C]1.55269615853914[/C][C]0.0223038414608585[/C][/ROW]
[ROW][C]101[/C][C]1.5557[/C][C]1.57499890013901[/C][C]-0.0192989001390087[/C][/ROW]
[ROW][C]102[/C][C]1.5553[/C][C]1.55570095167944[/C][C]-0.000400951679444095[/C][/ROW]
[ROW][C]103[/C][C]1.577[/C][C]1.55530001977198[/C][C]0.0216999802280198[/C][/ROW]
[ROW][C]104[/C][C]1.4975[/C][C]1.57699892991699[/C][C]-0.0794989299169917[/C][/ROW]
[ROW][C]105[/C][C]1.4369[/C][C]1.49750392030099[/C][C]-0.0606039203009945[/C][/ROW]
[ROW][C]106[/C][C]1.3322[/C][C]1.43690298853845[/C][C]-0.104702988538453[/C][/ROW]
[ROW][C]107[/C][C]1.2732[/C][C]1.33220516317931[/C][C]-0.0590051631793098[/C][/ROW]
[ROW][C]108[/C][C]1.3449[/C][C]1.27320290969954[/C][C]0.0716970903004588[/C][/ROW]
[ROW][C]109[/C][C]1.3239[/C][C]1.3448964644282[/C][C]-0.0209964644282041[/C][/ROW]
[ROW][C]110[/C][C]1.2785[/C][C]1.3239010353908[/C][C]-0.0454010353907968[/C][/ROW]
[ROW][C]111[/C][C]1.305[/C][C]1.27850223884428[/C][C]0.026497761155724[/C][/ROW]
[ROW][C]112[/C][C]1.319[/C][C]1.30499869332582[/C][C]0.0140013066741844[/C][/ROW]
[ROW][C]113[/C][C]1.365[/C][C]1.3189993095588[/C][C]0.0460006904411989[/C][/ROW]
[ROW][C]114[/C][C]1.4016[/C][C]1.36499773158516[/C][C]0.0366022684148413[/C][/ROW]
[ROW][C]115[/C][C]1.4088[/C][C]1.40159819504603[/C][C]0.00720180495397149[/C][/ROW]
[ROW][C]116[/C][C]1.4268[/C][C]1.40879964486009[/C][C]0.0180003551399139[/C][/ROW]
[ROW][C]117[/C][C]1.4562[/C][C]1.42679911235522[/C][C]0.02940088764478[/C][/ROW]
[ROW][C]118[/C][C]1.4816[/C][C]1.45619855016502[/C][C]0.0254014498349753[/C][/ROW]
[ROW][C]119[/C][C]1.4914[/C][C]1.48159874738781[/C][C]0.00980125261219444[/C][/ROW]
[ROW][C]120[/C][C]1.4614[/C][C]1.4913995166745[/C][C]-0.0299995166744962[/C][/ROW]
[ROW][C]121[/C][C]1.4272[/C][C]1.46140147935494[/C][C]-0.0342014793549446[/C][/ROW]
[ROW][C]122[/C][C]1.3686[/C][C]1.42720168656476[/C][C]-0.0586016865647585[/C][/ROW]
[ROW][C]123[/C][C]1.3569[/C][C]1.36860288980305[/C][C]-0.0117028898030498[/C][/ROW]
[ROW][C]124[/C][C]1.3406[/C][C]1.35690057710023[/C][C]-0.0163005771002274[/C][/ROW]
[ROW][C]125[/C][C]1.2565[/C][C]1.34060080382426[/C][C]-0.0841008038242614[/C][/ROW]
[ROW][C]126[/C][C]1.2208[/C][C]1.25650414723148[/C][C]-0.035704147231481[/C][/ROW]
[ROW][C]127[/C][C]1.277[/C][C]1.22080176066526[/C][C]0.0561982393347424[/C][/ROW]
[ROW][C]128[/C][C]1.2894[/C][C]1.27699722871724[/C][C]0.0124027712827557[/C][/ROW]
[ROW][C]129[/C][C]1.3067[/C][C]1.28939938838678[/C][C]0.0173006116132208[/C][/ROW]
[ROW][C]130[/C][C]1.3898[/C][C]1.30669914686141[/C][C]0.0831008531385893[/C][/ROW]
[ROW][C]131[/C][C]1.3661[/C][C]1.38979590207871[/C][C]-0.0236959020787126[/C][/ROW]
[ROW][C]132[/C][C]1.322[/C][C]1.36610116850716[/C][C]-0.0441011685071557[/C][/ROW]
[ROW][C]133[/C][C]1.336[/C][C]1.32200217474443[/C][C]0.0139978252555735[/C][/ROW]
[ROW][C]134[/C][C]1.3649[/C][C]1.33599930973048[/C][C]0.0289006902695208[/C][/ROW]
[ROW][C]135[/C][C]1.3999[/C][C]1.36489857483107[/C][C]0.035001425168929[/C][/ROW]
[ROW][C]136[/C][C]1.4442[/C][C]1.39989827398781[/C][C]0.0443017260121872[/C][/ROW]
[ROW][C]137[/C][C]1.4349[/C][C]1.44419781536556[/C][C]-0.00929781536555607[/C][/ROW]
[ROW][C]138[/C][C]1.4388[/C][C]1.43490045849969[/C][C]0.00389954150030869[/C][/ROW]
[ROW][C]139[/C][C]1.4264[/C][C]1.43879980770337[/C][C]-0.0123998077033689[/C][/ROW]
[ROW][C]140[/C][C]1.4343[/C][C]1.42640061146708[/C][C]0.00789938853292083[/C][/ROW]
[ROW][C]141[/C][C]1.377[/C][C]1.43429961046041[/C][C]-0.057299610460408[/C][/ROW]
[ROW][C]142[/C][C]1.3706[/C][C]1.37700282559426[/C][C]-0.00640282559425787[/C][/ROW]
[ROW][C]143[/C][C]1.3556[/C][C]1.37060031574014[/C][C]-0.0150003157401437[/C][/ROW]
[ROW][C]144[/C][C]1.3179[/C][C]1.35560073970496[/C][C]-0.0377007397049591[/C][/ROW]
[ROW][C]145[/C][C]1.2905[/C][C]1.31790185912248[/C][C]-0.0274018591224752[/C][/ROW]
[ROW][C]146[/C][C]1.3224[/C][C]1.29050135125763[/C][C]0.0318986487423707[/C][/ROW]
[ROW][C]147[/C][C]1.3201[/C][C]1.32239842699387[/C][C]-0.00229842699386618[/C][/ROW]
[ROW][C]148[/C][C]1.3162[/C][C]1.32010011334147[/C][C]-0.00390011334147067[/C][/ROW]
[ROW][C]149[/C][C]1.2789[/C][C]1.31620019232483[/C][C]-0.0373001923248304[/C][/ROW]
[ROW][C]150[/C][C]1.2526[/C][C]1.27890183937043[/C][C]-0.026301839370432[/C][/ROW]
[ROW][C]151[/C][C]1.2288[/C][C]1.25260129701277[/C][C]-0.0238012970127668[/C][/ROW]
[ROW][C]152[/C][C]1.24[/C][C]1.22880117370446[/C][C]0.0111988262955434[/C][/ROW]
[ROW][C]153[/C][C]1.2856[/C][C]1.23999944775647[/C][C]0.0456005522435323[/C][/ROW]
[ROW][C]154[/C][C]1.2974[/C][C]1.28559775131702[/C][C]0.0118022486829761[/C][/ROW]
[ROW][C]155[/C][C]1.2828[/C][C]1.29739941800013[/C][C]-0.0145994180001254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196879&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196879&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
20.98341.0137-0.0303
30.96430.983401494172566-0.0191014941725663
40.9470.964300941944837-0.0173009419448373
50.9060.947000853154879-0.0410008531548787
60.94920.9060020218597350.0431979781402647
70.93970.949197869794262-0.00949786979426215
80.90410.939700468364901-0.0356004683649005
90.87210.90410175555258-0.0320017555525802
100.85520.872101578090601-0.0169015780906014
110.85640.8552008334611980.0011991665388017
120.89730.8563999408659490.0409000591340509
130.93830.8972979831106830.0410020168893175
140.92170.938297978082878-0.0165979780828779
150.90950.921700818489885-0.0122008184898847
160.8920.909500601654398-0.0175006016543985
170.87420.892000863000623-0.0178008630006233
180.85320.874200877807299-0.0210008778072988
190.86070.8532010356084320.00749896439156805
200.90050.8606996302063740.039800369793626
210.91110.9004980373392520.0106019626607484
220.90590.911099477189381-0.00519947718938096
230.88830.905900256399874-0.0176002563998738
240.89240.8883008679148610.00409913208513946
250.88330.892399797861033-0.00909979786103277
260.870.883300448734928-0.0133004487349281
270.87580.8700006558800530.00579934411994654
280.88580.8757997140191130.0100002859808873
290.9170.8857995068596380.031200493140362
300.95540.9169984614217520.0384015385782477
310.99220.9553981063192920.0368018936807079
320.97780.992198185201983-0.0143981852019825
330.98080.9778007100123210.00299928998767873
340.98110.9807998520971350.000300147902865255
351.00140.9810999851989190.0203000148010813
361.01831.001398998952960.0169010010470365
371.06221.018299166567260.0439008334327429
381.07731.062197835134620.015102164865378
391.08071.077299255272590.00340074472740715
401.08481.080699832300350.0041001676996526
411.15821.084799797809960.073400202190036
421.16631.158196380443280.00810361955671546
431.13721.16629960038924-0.0290996003892399
441.11391.13720143497771-0.0233014349777094
451.12221.113901149054950.008298850945053
461.16921.122199590761870.0470004092381324
471.17021.16919768228640.00100231771360026
481.22861.170199950573080.0584000494269186
491.26131.228597120140210.032702879859793
501.26461.261298387335120.00330161266488194
511.22621.26459983718881-0.0383998371888097
521.19851.22620189359681-0.0277018935968079
531.20071.198501366053120.00219863394688313
541.21381.200699891579590.0131001084204134
551.22661.213799353999250.0128006460007464
561.21761.22659936876653-0.00899936876653173
571.22181.217600443782510.00419955621749413
581.2491.221799792908860.027200207091145
591.29911.248998658686360.050101341313638
601.34081.29909752937130.0417024706287039
611.31191.34079794354166-0.0288979435416645
621.30141.31190142503348-0.0105014250334807
631.32011.301400517852840.0186994821471556
641.29381.32009907787943-0.0262990778794314
651.26941.29380129687659-0.0244012968765903
661.21651.26940120329203-0.0529012032920257
671.20371.21650260869725-0.0128026086972504
681.22921.203700631330250.0254993686697462
691.22561.22919874255917-0.00359874255917081
701.20151.22560017746345-0.0241001774634457
711.17861.20150118844304-0.0229011884430366
721.18561.178601129317740.00699887068226035
731.21031.185599654867310.0247003451326919
741.19381.21029878196112-0.0164987819611195
751.2021.193800813598260.00819918640173656
761.22711.201999595676590.0251004043234122
771.2771.227098762233150.0499012377668495
781.2651.27699753923893-0.0119975392389275
791.26841.265000591630160.00339940836983521
801.28111.268399832366250.0127001676337533
811.27271.28109937372138-0.00839937372138388
821.26111.27270041419517-0.0116004141951744
831.28811.261100572046890.0269994279531138
841.32131.288098668587310.0332013314126915
851.29991.32129836275516-0.0213983627551628
861.30741.299901055209460.00749894479054136
871.32421.307399630207340.0168003697926595
881.35161.324199171529650.0274008284703513
891.35111.35159864879319-0.000498648793194834
901.34191.35110002458968-0.00920002458968128
911.37161.341900453677370.0296995463226284
921.36221.37159853543738-0.00939853543738112
931.38961.362200463466460.0273995365335373
941.42271.38959864885690.0331013511430964
951.46841.422698367685450.0457016323145474
961.4571.4683977463325-0.0113977463325001
971.47181.45700056205280.0147994379471983
981.47481.471799270200850.00300072979914789
991.55271.474799852026130.0779001479738661
1001.5751.552696158539140.0223038414608585
1011.55571.57499890013901-0.0192989001390087
1021.55531.55570095167944-0.000400951679444095
1031.5771.555300019771980.0216999802280198
1041.49751.57699892991699-0.0794989299169917
1051.43691.49750392030099-0.0606039203009945
1061.33221.43690298853845-0.104702988538453
1071.27321.33220516317931-0.0590051631793098
1081.34491.273202909699540.0716970903004588
1091.32391.3448964644282-0.0209964644282041
1101.27851.3239010353908-0.0454010353907968
1111.3051.278502238844280.026497761155724
1121.3191.304998693325820.0140013066741844
1131.3651.31899930955880.0460006904411989
1141.40161.364997731585160.0366022684148413
1151.40881.401598195046030.00720180495397149
1161.42681.408799644860090.0180003551399139
1171.45621.426799112355220.02940088764478
1181.48161.456198550165020.0254014498349753
1191.49141.481598747387810.00980125261219444
1201.46141.4913995166745-0.0299995166744962
1211.42721.46140147935494-0.0342014793549446
1221.36861.42720168656476-0.0586016865647585
1231.35691.36860288980305-0.0117028898030498
1241.34061.35690057710023-0.0163005771002274
1251.25651.34060080382426-0.0841008038242614
1261.22081.25650414723148-0.035704147231481
1271.2771.220801760665260.0561982393347424
1281.28941.276997228717240.0124027712827557
1291.30671.289399388386780.0173006116132208
1301.38981.306699146861410.0831008531385893
1311.36611.38979590207871-0.0236959020787126
1321.3221.36610116850716-0.0441011685071557
1331.3361.322002174744430.0139978252555735
1341.36491.335999309730480.0289006902695208
1351.39991.364898574831070.035001425168929
1361.44421.399898273987810.0443017260121872
1371.43491.44419781536556-0.00929781536555607
1381.43881.434900458499690.00389954150030869
1391.42641.43879980770337-0.0123998077033689
1401.43431.426400611467080.00789938853292083
1411.3771.43429961046041-0.057299610460408
1421.37061.37700282559426-0.00640282559425787
1431.35561.37060031574014-0.0150003157401437
1441.31791.35560073970496-0.0377007397049591
1451.29051.31790185912248-0.0274018591224752
1461.32241.290501351257630.0318986487423707
1471.32011.32239842699387-0.00229842699386618
1481.31621.32010011334147-0.00390011334147067
1491.27891.31620019232483-0.0373001923248304
1501.25261.27890183937043-0.026301839370432
1511.22881.25260129701277-0.0238012970127668
1521.241.228801173704460.0111988262955434
1531.28561.239999447756470.0456005522435323
1541.29741.285597751317020.0118022486829761
1551.28281.29739941800013-0.0145994180001254







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1561.282800719935641.220792996462451.34480844340882
1571.282800719935641.195110718566751.37049072130452
1581.282800719935641.175403723190741.39019771668054
1591.282800719935641.158789859606511.40681158026477
1601.282800719935641.144152704986561.42144873488472
1611.282800719935641.130919678923051.43468176094823
1621.282800719935641.118750638592121.44685080127916
1631.282800719935641.1074239604761.45817747939528
1641.282800719935641.096785703530211.46881573634107
1651.282800719935641.086723783765011.47887765610627
1661.282800719935641.077153586554671.48844785331661
1671.282800719935641.068009374584951.49759206528632

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
156 & 1.28280071993564 & 1.22079299646245 & 1.34480844340882 \tabularnewline
157 & 1.28280071993564 & 1.19511071856675 & 1.37049072130452 \tabularnewline
158 & 1.28280071993564 & 1.17540372319074 & 1.39019771668054 \tabularnewline
159 & 1.28280071993564 & 1.15878985960651 & 1.40681158026477 \tabularnewline
160 & 1.28280071993564 & 1.14415270498656 & 1.42144873488472 \tabularnewline
161 & 1.28280071993564 & 1.13091967892305 & 1.43468176094823 \tabularnewline
162 & 1.28280071993564 & 1.11875063859212 & 1.44685080127916 \tabularnewline
163 & 1.28280071993564 & 1.107423960476 & 1.45817747939528 \tabularnewline
164 & 1.28280071993564 & 1.09678570353021 & 1.46881573634107 \tabularnewline
165 & 1.28280071993564 & 1.08672378376501 & 1.47887765610627 \tabularnewline
166 & 1.28280071993564 & 1.07715358655467 & 1.48844785331661 \tabularnewline
167 & 1.28280071993564 & 1.06800937458495 & 1.49759206528632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196879&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]156[/C][C]1.28280071993564[/C][C]1.22079299646245[/C][C]1.34480844340882[/C][/ROW]
[ROW][C]157[/C][C]1.28280071993564[/C][C]1.19511071856675[/C][C]1.37049072130452[/C][/ROW]
[ROW][C]158[/C][C]1.28280071993564[/C][C]1.17540372319074[/C][C]1.39019771668054[/C][/ROW]
[ROW][C]159[/C][C]1.28280071993564[/C][C]1.15878985960651[/C][C]1.40681158026477[/C][/ROW]
[ROW][C]160[/C][C]1.28280071993564[/C][C]1.14415270498656[/C][C]1.42144873488472[/C][/ROW]
[ROW][C]161[/C][C]1.28280071993564[/C][C]1.13091967892305[/C][C]1.43468176094823[/C][/ROW]
[ROW][C]162[/C][C]1.28280071993564[/C][C]1.11875063859212[/C][C]1.44685080127916[/C][/ROW]
[ROW][C]163[/C][C]1.28280071993564[/C][C]1.107423960476[/C][C]1.45817747939528[/C][/ROW]
[ROW][C]164[/C][C]1.28280071993564[/C][C]1.09678570353021[/C][C]1.46881573634107[/C][/ROW]
[ROW][C]165[/C][C]1.28280071993564[/C][C]1.08672378376501[/C][C]1.47887765610627[/C][/ROW]
[ROW][C]166[/C][C]1.28280071993564[/C][C]1.07715358655467[/C][C]1.48844785331661[/C][/ROW]
[ROW][C]167[/C][C]1.28280071993564[/C][C]1.06800937458495[/C][C]1.49759206528632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196879&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196879&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
1561.282800719935641.220792996462451.34480844340882
1571.282800719935641.195110718566751.37049072130452
1581.282800719935641.175403723190741.39019771668054
1591.282800719935641.158789859606511.40681158026477
1601.282800719935641.144152704986561.42144873488472
1611.282800719935641.130919678923051.43468176094823
1621.282800719935641.118750638592121.44685080127916
1631.282800719935641.1074239604761.45817747939528
1641.282800719935641.096785703530211.46881573634107
1651.282800719935641.086723783765011.47887765610627
1661.282800719935641.077153586554671.48844785331661
1671.282800719935641.068009374584951.49759206528632



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')