Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 03 Dec 2011 08:20:23 -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/2011/Dec/03/t1322918448ra5w6sxdw98wcc0.htm/, Retrieved Sun, 28 Apr 2024 22:19:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150445, Retrieved Sun, 28 Apr 2024 22:19:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2011-12-03 13:20:23] [cd8b9934e81fda54a97eda68755efa21] [Current]
Feedback Forum

Post a new message
Dataseries X:
26.663
23.598
26.931
24.740
25.806
24.364
24.477
23.901
23.175
23.227
21.672
21.870
21.439
21.089
23.709
21.669
21.752
20.761
23.479
23.824
23.105
23.110
21.759
22.073
21.937
20.035
23.590
21.672
22.222
22.123
23.950
23.504
22.238
23.142
21.059
21.573
21.548
20.000
22.424
20.615
21.761
22.874
24.104
23.748
23.262
22.907
21.519
22.025
22.604
20.894
24.677
23.673
25.320
23.583
24.671
24.454
24.122
24.252
22.084
22.991
23.287
23.049
25.076
24.037
24.430
24.667
26.451
25.618
25.014
25.110
22.964
23.981
23.798
22.270
24.775
22.646
23.988
24.737
26.276
25.816
25.210
25.199
23.162
24.707
24.364
22.644
25.565
24.062
25.431
24.635
27.009
26.606
26.268
26.462
25.246
25.180
24.657
23.304
26.982
26.199
27.210
26.122
26.706
26.878
26.152
26.379
24.712
25.688
24.990
24.239
26.721
23.475
24.767
26.219
28.361
28.599
27.914
27.784
25.693
26.881
26.217
24.218
27.914
26.975
28.527
27.139
28.982
28.169
28.056
29.136
26.291
26.987
26.589
24.848
27.543
26.896
28.878
27.390
28.065
28.141
29.048
28.484
26.634
27.735
27.132
24.924
28.963
26.589
27.931
28.009
29.229
28.759
28.405
27.945
25.912
26.619
26.076
25.286
27.660
25.951
26.398
25.565
28.865
30.000
29.261
29.012
26.992
27.897




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150445&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150445&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.482365527798597
beta0.029884952185536
gamma0.56318604392326

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.482365527798597 \tabularnewline
beta & 0.029884952185536 \tabularnewline
gamma & 0.56318604392326 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150445&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]0.482365527798597[/C][/ROW]
[ROW][C]beta[/C][C]0.029884952185536[/C][/ROW]
[ROW][C]gamma[/C][C]0.56318604392326[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150445&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
alpha0.482365527798597
beta0.029884952185536
gamma0.56318604392326







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1321.43923.1357940705128-1.69679407051283
1421.08921.8308888838263-0.741888883826274
1523.70923.9072356973539-0.198235697353905
1621.66921.58463107288660.0843689271133528
1721.75221.51601972839190.235980271608117
1820.76120.43660890347050.324391096529528
1923.47922.44489566313381.03410433686615
2023.82422.51934739202871.30465260797127
2123.10522.50969279533210.595307204667908
2223.1122.96787272903290.142127270967059
2321.75921.63716978300830.121830216991725
2422.07322.0735991444243-0.000599144424295872
2521.93721.19997377102970.737026228970262
2620.03521.3998966917643-1.36489669176425
2723.5923.377692120370.212307879629964
2821.67221.38490179491420.287098205085837
2922.22221.51059698154210.711403018457897
3022.12320.74545955894111.3775404410589
3123.9523.54300164227960.40699835772039
3223.50423.45914406819230.044855931807696
3322.23822.6821684005275-0.444168400527488
3423.14222.53899653593510.603003464064916
3521.05921.4634994956161-0.404499495616143
3621.57321.6415793034748-0.068579303474781
3721.54820.98044347050010.56755652949986
382020.5136599636671-0.513659963667127
3922.42423.4019293790765-0.977929379076503
4020.61520.8797279551612-0.264727955161195
4121.76120.87789675596360.883103244036377
4222.87420.40721240714092.46678759285911
4324.10423.48037039006990.623629609930138
4423.74823.43169514045670.316304859543337
4523.26222.68326783265380.578732167346189
4622.90723.3937031326248-0.486703132624793
4721.51921.5380676807669-0.0190676807669163
4822.02522.0447619534518-0.019761953451841
4922.60421.63809331416110.965906685838902
5020.89421.0994716862325-0.205471686232485
5124.67724.0567098722430.620290127756999
5223.67322.59204451047891.08095548952105
5325.3223.67203857536941.64796142463058
5423.58324.1410970724191-0.558097072419137
5524.67125.2833429231252-0.61234292312524
5624.45424.5965809917317-0.142580991731712
5724.12223.7443884639170.377611536083027
5824.25224.08539185482930.16660814517067
5922.08422.7288184829374-0.64481848293736
6022.99122.97204929417710.0189507058228884
6123.28722.9105384881160.37646151188396
6223.04921.77674380467291.27225619532708
6325.07625.7394594155088-0.66345941550879
6424.03723.82328954451340.213710455486574
6524.4324.6711856557921-0.241185655792115
6624.66723.57956668337481.08743331662524
6726.45125.51716885155930.933831148440746
6825.61825.752887114428-0.134887114428022
6925.01425.0958776357665-0.0818776357664852
7025.1125.1869257926815-0.0769257926814788
7122.96423.5060178004915-0.542017800491479
7223.98124.0235115321253-0.0425115321253102
7323.79824.0668610439396-0.268861043939559
7422.2722.9039129034778-0.63391290347785
7524.77525.3763531714674-0.60135317146737
7622.64623.7402564864315-1.0942564864315
7723.98823.80016486546320.187835134536808
7824.73723.28454406360881.4524559363912
7926.27625.3404320713160.93556792868403
8025.81625.25244587284640.563554127153573
8125.2124.94487763821040.265122361789583
8225.19925.206836087604-0.00783608760399446
8323.16223.4267507000106-0.264750700010573
8424.70724.23068561160840.4763143883916
8524.36424.4728703198997-0.10887031989968
8622.64423.2975388545348-0.65353885453483
8725.56525.7865855126477-0.221585512647696
8824.06224.2120380991279-0.150038099127936
8925.43125.13683320577660.294166794223361
9024.63525.0783711068732-0.443371106873244
9127.00926.07896275495420.93003724504581
9226.60625.8896486527110.716351347288988
9326.26825.58077804810770.68722195189229
9426.46225.98484716762030.477152832379705
9525.24624.3888766102550.857123389744991
9625.1825.9912456901178-0.811245690117836
9724.65725.4644414748617-0.807441474861733
9823.30423.8059702645802-0.501970264580219
9926.98226.50884943170030.473150568299683
10026.19925.31508758642280.88391241357725
10127.2126.90783728251030.302162717489722
10226.12226.6780529212081-0.556052921208057
10326.70628.0628797382096-1.35687973820965
10426.87826.713380850820.164619149179977
10526.15226.12716805045870.0248319495413227
10626.37926.1382204358510.24077956414903
10724.71224.52333252727470.188667472725289
10825.68825.29158516400170.396414835998279
10924.9925.3405269003793-0.350526900379329
11024.23923.99019763629370.248802363706272
11126.72127.3490077641817-0.628007764181671
11223.47525.737471030957-2.26247103095696
11324.76725.591201708633-0.82420170863299
11426.21924.49995219686141.7190478031386
11528.36126.71359029205631.64740970794374
11628.59927.26496129652761.33403870347243
11727.91427.22709252407560.6869074759244
11827.78427.65501321557930.12898678442065
11925.69326.0039486990343-0.310948699034306
12026.88126.6175052906550.263494709345011
12126.21726.4084011345216-0.191401134521563
12224.21825.3356637163697-1.11766371636973
12327.91427.78614370861710.127856291382919
12426.97526.08003741144820.894962588551767
12528.52727.93892565160820.588074348391789
12627.13928.3535172867185-1.21451728671851
12728.98229.1721200186628-0.190120018662842
12828.16928.7601854122946-0.591185412294642
12928.05627.59165798110380.464342018896176
13029.13627.73302252848031.40297747151966
13126.29126.5700497176499-0.279049717649933
13226.98727.3687319426189-0.381731942618877
13326.58926.7087524886497-0.119752488649709
13424.84825.3945535954242-0.546553595424179
13527.54328.4858557884287-0.942855788428687
13626.89626.4737091181050.422290881895016
13728.87827.99512152831850.882878471681462
13827.3928.010656757267-0.620656757267014
13928.06529.4071549197916-1.34215491979161
14028.14128.2987915429253-0.157791542925331
14129.04827.62947161394121.41852838605879
14228.48428.5009341804023-0.0169341804022594
14326.63426.1384202556820.495579744318029
14427.73527.26771676553020.467283234469814
14527.13227.09277947209950.039220527900536
14624.92425.7322654434288-0.808265443428777
14728.96328.57944710568510.383552894314914
14826.58927.6218608260071-1.03286082600715
14927.93128.5714269408098-0.640426940809775
15028.00927.38769176858380.621308231416155
15129.22929.16467712950790.064322870492095
15228.75929.0920366473763-0.333036647376261
15328.40528.8072097155341-0.402209715534067
15427.94528.3651809662531-0.420180966253096
15525.91225.9349945734654-0.022994573465418
15626.61926.7758535992708-0.156853599270779
15726.07626.1360202319584-0.0600202319583616
15825.28624.44009913686160.845900863138393
15927.6628.4160096343778-0.75600963437779
16025.95126.4627628012792-0.511762801279165
16126.39827.7525490532757-1.35454905327566
16225.56526.5563346306684-0.991334630668415
16328.86527.33397668626021.53102331373978
1643027.8150399806372.184960019363
16529.26128.72299838441520.538001615584797
16629.01228.74116588828350.270834111716532
16726.99226.78196200294670.210037997053302
16827.89727.7214350807140.175564919286007

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 21.439 & 23.1357940705128 & -1.69679407051283 \tabularnewline
14 & 21.089 & 21.8308888838263 & -0.741888883826274 \tabularnewline
15 & 23.709 & 23.9072356973539 & -0.198235697353905 \tabularnewline
16 & 21.669 & 21.5846310728866 & 0.0843689271133528 \tabularnewline
17 & 21.752 & 21.5160197283919 & 0.235980271608117 \tabularnewline
18 & 20.761 & 20.4366089034705 & 0.324391096529528 \tabularnewline
19 & 23.479 & 22.4448956631338 & 1.03410433686615 \tabularnewline
20 & 23.824 & 22.5193473920287 & 1.30465260797127 \tabularnewline
21 & 23.105 & 22.5096927953321 & 0.595307204667908 \tabularnewline
22 & 23.11 & 22.9678727290329 & 0.142127270967059 \tabularnewline
23 & 21.759 & 21.6371697830083 & 0.121830216991725 \tabularnewline
24 & 22.073 & 22.0735991444243 & -0.000599144424295872 \tabularnewline
25 & 21.937 & 21.1999737710297 & 0.737026228970262 \tabularnewline
26 & 20.035 & 21.3998966917643 & -1.36489669176425 \tabularnewline
27 & 23.59 & 23.37769212037 & 0.212307879629964 \tabularnewline
28 & 21.672 & 21.3849017949142 & 0.287098205085837 \tabularnewline
29 & 22.222 & 21.5105969815421 & 0.711403018457897 \tabularnewline
30 & 22.123 & 20.7454595589411 & 1.3775404410589 \tabularnewline
31 & 23.95 & 23.5430016422796 & 0.40699835772039 \tabularnewline
32 & 23.504 & 23.4591440681923 & 0.044855931807696 \tabularnewline
33 & 22.238 & 22.6821684005275 & -0.444168400527488 \tabularnewline
34 & 23.142 & 22.5389965359351 & 0.603003464064916 \tabularnewline
35 & 21.059 & 21.4634994956161 & -0.404499495616143 \tabularnewline
36 & 21.573 & 21.6415793034748 & -0.068579303474781 \tabularnewline
37 & 21.548 & 20.9804434705001 & 0.56755652949986 \tabularnewline
38 & 20 & 20.5136599636671 & -0.513659963667127 \tabularnewline
39 & 22.424 & 23.4019293790765 & -0.977929379076503 \tabularnewline
40 & 20.615 & 20.8797279551612 & -0.264727955161195 \tabularnewline
41 & 21.761 & 20.8778967559636 & 0.883103244036377 \tabularnewline
42 & 22.874 & 20.4072124071409 & 2.46678759285911 \tabularnewline
43 & 24.104 & 23.4803703900699 & 0.623629609930138 \tabularnewline
44 & 23.748 & 23.4316951404567 & 0.316304859543337 \tabularnewline
45 & 23.262 & 22.6832678326538 & 0.578732167346189 \tabularnewline
46 & 22.907 & 23.3937031326248 & -0.486703132624793 \tabularnewline
47 & 21.519 & 21.5380676807669 & -0.0190676807669163 \tabularnewline
48 & 22.025 & 22.0447619534518 & -0.019761953451841 \tabularnewline
49 & 22.604 & 21.6380933141611 & 0.965906685838902 \tabularnewline
50 & 20.894 & 21.0994716862325 & -0.205471686232485 \tabularnewline
51 & 24.677 & 24.056709872243 & 0.620290127756999 \tabularnewline
52 & 23.673 & 22.5920445104789 & 1.08095548952105 \tabularnewline
53 & 25.32 & 23.6720385753694 & 1.64796142463058 \tabularnewline
54 & 23.583 & 24.1410970724191 & -0.558097072419137 \tabularnewline
55 & 24.671 & 25.2833429231252 & -0.61234292312524 \tabularnewline
56 & 24.454 & 24.5965809917317 & -0.142580991731712 \tabularnewline
57 & 24.122 & 23.744388463917 & 0.377611536083027 \tabularnewline
58 & 24.252 & 24.0853918548293 & 0.16660814517067 \tabularnewline
59 & 22.084 & 22.7288184829374 & -0.64481848293736 \tabularnewline
60 & 22.991 & 22.9720492941771 & 0.0189507058228884 \tabularnewline
61 & 23.287 & 22.910538488116 & 0.37646151188396 \tabularnewline
62 & 23.049 & 21.7767438046729 & 1.27225619532708 \tabularnewline
63 & 25.076 & 25.7394594155088 & -0.66345941550879 \tabularnewline
64 & 24.037 & 23.8232895445134 & 0.213710455486574 \tabularnewline
65 & 24.43 & 24.6711856557921 & -0.241185655792115 \tabularnewline
66 & 24.667 & 23.5795666833748 & 1.08743331662524 \tabularnewline
67 & 26.451 & 25.5171688515593 & 0.933831148440746 \tabularnewline
68 & 25.618 & 25.752887114428 & -0.134887114428022 \tabularnewline
69 & 25.014 & 25.0958776357665 & -0.0818776357664852 \tabularnewline
70 & 25.11 & 25.1869257926815 & -0.0769257926814788 \tabularnewline
71 & 22.964 & 23.5060178004915 & -0.542017800491479 \tabularnewline
72 & 23.981 & 24.0235115321253 & -0.0425115321253102 \tabularnewline
73 & 23.798 & 24.0668610439396 & -0.268861043939559 \tabularnewline
74 & 22.27 & 22.9039129034778 & -0.63391290347785 \tabularnewline
75 & 24.775 & 25.3763531714674 & -0.60135317146737 \tabularnewline
76 & 22.646 & 23.7402564864315 & -1.0942564864315 \tabularnewline
77 & 23.988 & 23.8001648654632 & 0.187835134536808 \tabularnewline
78 & 24.737 & 23.2845440636088 & 1.4524559363912 \tabularnewline
79 & 26.276 & 25.340432071316 & 0.93556792868403 \tabularnewline
80 & 25.816 & 25.2524458728464 & 0.563554127153573 \tabularnewline
81 & 25.21 & 24.9448776382104 & 0.265122361789583 \tabularnewline
82 & 25.199 & 25.206836087604 & -0.00783608760399446 \tabularnewline
83 & 23.162 & 23.4267507000106 & -0.264750700010573 \tabularnewline
84 & 24.707 & 24.2306856116084 & 0.4763143883916 \tabularnewline
85 & 24.364 & 24.4728703198997 & -0.10887031989968 \tabularnewline
86 & 22.644 & 23.2975388545348 & -0.65353885453483 \tabularnewline
87 & 25.565 & 25.7865855126477 & -0.221585512647696 \tabularnewline
88 & 24.062 & 24.2120380991279 & -0.150038099127936 \tabularnewline
89 & 25.431 & 25.1368332057766 & 0.294166794223361 \tabularnewline
90 & 24.635 & 25.0783711068732 & -0.443371106873244 \tabularnewline
91 & 27.009 & 26.0789627549542 & 0.93003724504581 \tabularnewline
92 & 26.606 & 25.889648652711 & 0.716351347288988 \tabularnewline
93 & 26.268 & 25.5807780481077 & 0.68722195189229 \tabularnewline
94 & 26.462 & 25.9848471676203 & 0.477152832379705 \tabularnewline
95 & 25.246 & 24.388876610255 & 0.857123389744991 \tabularnewline
96 & 25.18 & 25.9912456901178 & -0.811245690117836 \tabularnewline
97 & 24.657 & 25.4644414748617 & -0.807441474861733 \tabularnewline
98 & 23.304 & 23.8059702645802 & -0.501970264580219 \tabularnewline
99 & 26.982 & 26.5088494317003 & 0.473150568299683 \tabularnewline
100 & 26.199 & 25.3150875864228 & 0.88391241357725 \tabularnewline
101 & 27.21 & 26.9078372825103 & 0.302162717489722 \tabularnewline
102 & 26.122 & 26.6780529212081 & -0.556052921208057 \tabularnewline
103 & 26.706 & 28.0628797382096 & -1.35687973820965 \tabularnewline
104 & 26.878 & 26.71338085082 & 0.164619149179977 \tabularnewline
105 & 26.152 & 26.1271680504587 & 0.0248319495413227 \tabularnewline
106 & 26.379 & 26.138220435851 & 0.24077956414903 \tabularnewline
107 & 24.712 & 24.5233325272747 & 0.188667472725289 \tabularnewline
108 & 25.688 & 25.2915851640017 & 0.396414835998279 \tabularnewline
109 & 24.99 & 25.3405269003793 & -0.350526900379329 \tabularnewline
110 & 24.239 & 23.9901976362937 & 0.248802363706272 \tabularnewline
111 & 26.721 & 27.3490077641817 & -0.628007764181671 \tabularnewline
112 & 23.475 & 25.737471030957 & -2.26247103095696 \tabularnewline
113 & 24.767 & 25.591201708633 & -0.82420170863299 \tabularnewline
114 & 26.219 & 24.4999521968614 & 1.7190478031386 \tabularnewline
115 & 28.361 & 26.7135902920563 & 1.64740970794374 \tabularnewline
116 & 28.599 & 27.2649612965276 & 1.33403870347243 \tabularnewline
117 & 27.914 & 27.2270925240756 & 0.6869074759244 \tabularnewline
118 & 27.784 & 27.6550132155793 & 0.12898678442065 \tabularnewline
119 & 25.693 & 26.0039486990343 & -0.310948699034306 \tabularnewline
120 & 26.881 & 26.617505290655 & 0.263494709345011 \tabularnewline
121 & 26.217 & 26.4084011345216 & -0.191401134521563 \tabularnewline
122 & 24.218 & 25.3356637163697 & -1.11766371636973 \tabularnewline
123 & 27.914 & 27.7861437086171 & 0.127856291382919 \tabularnewline
124 & 26.975 & 26.0800374114482 & 0.894962588551767 \tabularnewline
125 & 28.527 & 27.9389256516082 & 0.588074348391789 \tabularnewline
126 & 27.139 & 28.3535172867185 & -1.21451728671851 \tabularnewline
127 & 28.982 & 29.1721200186628 & -0.190120018662842 \tabularnewline
128 & 28.169 & 28.7601854122946 & -0.591185412294642 \tabularnewline
129 & 28.056 & 27.5916579811038 & 0.464342018896176 \tabularnewline
130 & 29.136 & 27.7330225284803 & 1.40297747151966 \tabularnewline
131 & 26.291 & 26.5700497176499 & -0.279049717649933 \tabularnewline
132 & 26.987 & 27.3687319426189 & -0.381731942618877 \tabularnewline
133 & 26.589 & 26.7087524886497 & -0.119752488649709 \tabularnewline
134 & 24.848 & 25.3945535954242 & -0.546553595424179 \tabularnewline
135 & 27.543 & 28.4858557884287 & -0.942855788428687 \tabularnewline
136 & 26.896 & 26.473709118105 & 0.422290881895016 \tabularnewline
137 & 28.878 & 27.9951215283185 & 0.882878471681462 \tabularnewline
138 & 27.39 & 28.010656757267 & -0.620656757267014 \tabularnewline
139 & 28.065 & 29.4071549197916 & -1.34215491979161 \tabularnewline
140 & 28.141 & 28.2987915429253 & -0.157791542925331 \tabularnewline
141 & 29.048 & 27.6294716139412 & 1.41852838605879 \tabularnewline
142 & 28.484 & 28.5009341804023 & -0.0169341804022594 \tabularnewline
143 & 26.634 & 26.138420255682 & 0.495579744318029 \tabularnewline
144 & 27.735 & 27.2677167655302 & 0.467283234469814 \tabularnewline
145 & 27.132 & 27.0927794720995 & 0.039220527900536 \tabularnewline
146 & 24.924 & 25.7322654434288 & -0.808265443428777 \tabularnewline
147 & 28.963 & 28.5794471056851 & 0.383552894314914 \tabularnewline
148 & 26.589 & 27.6218608260071 & -1.03286082600715 \tabularnewline
149 & 27.931 & 28.5714269408098 & -0.640426940809775 \tabularnewline
150 & 28.009 & 27.3876917685838 & 0.621308231416155 \tabularnewline
151 & 29.229 & 29.1646771295079 & 0.064322870492095 \tabularnewline
152 & 28.759 & 29.0920366473763 & -0.333036647376261 \tabularnewline
153 & 28.405 & 28.8072097155341 & -0.402209715534067 \tabularnewline
154 & 27.945 & 28.3651809662531 & -0.420180966253096 \tabularnewline
155 & 25.912 & 25.9349945734654 & -0.022994573465418 \tabularnewline
156 & 26.619 & 26.7758535992708 & -0.156853599270779 \tabularnewline
157 & 26.076 & 26.1360202319584 & -0.0600202319583616 \tabularnewline
158 & 25.286 & 24.4400991368616 & 0.845900863138393 \tabularnewline
159 & 27.66 & 28.4160096343778 & -0.75600963437779 \tabularnewline
160 & 25.951 & 26.4627628012792 & -0.511762801279165 \tabularnewline
161 & 26.398 & 27.7525490532757 & -1.35454905327566 \tabularnewline
162 & 25.565 & 26.5563346306684 & -0.991334630668415 \tabularnewline
163 & 28.865 & 27.3339766862602 & 1.53102331373978 \tabularnewline
164 & 30 & 27.815039980637 & 2.184960019363 \tabularnewline
165 & 29.261 & 28.7229983844152 & 0.538001615584797 \tabularnewline
166 & 29.012 & 28.7411658882835 & 0.270834111716532 \tabularnewline
167 & 26.992 & 26.7819620029467 & 0.210037997053302 \tabularnewline
168 & 27.897 & 27.721435080714 & 0.175564919286007 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150445&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]21.439[/C][C]23.1357940705128[/C][C]-1.69679407051283[/C][/ROW]
[ROW][C]14[/C][C]21.089[/C][C]21.8308888838263[/C][C]-0.741888883826274[/C][/ROW]
[ROW][C]15[/C][C]23.709[/C][C]23.9072356973539[/C][C]-0.198235697353905[/C][/ROW]
[ROW][C]16[/C][C]21.669[/C][C]21.5846310728866[/C][C]0.0843689271133528[/C][/ROW]
[ROW][C]17[/C][C]21.752[/C][C]21.5160197283919[/C][C]0.235980271608117[/C][/ROW]
[ROW][C]18[/C][C]20.761[/C][C]20.4366089034705[/C][C]0.324391096529528[/C][/ROW]
[ROW][C]19[/C][C]23.479[/C][C]22.4448956631338[/C][C]1.03410433686615[/C][/ROW]
[ROW][C]20[/C][C]23.824[/C][C]22.5193473920287[/C][C]1.30465260797127[/C][/ROW]
[ROW][C]21[/C][C]23.105[/C][C]22.5096927953321[/C][C]0.595307204667908[/C][/ROW]
[ROW][C]22[/C][C]23.11[/C][C]22.9678727290329[/C][C]0.142127270967059[/C][/ROW]
[ROW][C]23[/C][C]21.759[/C][C]21.6371697830083[/C][C]0.121830216991725[/C][/ROW]
[ROW][C]24[/C][C]22.073[/C][C]22.0735991444243[/C][C]-0.000599144424295872[/C][/ROW]
[ROW][C]25[/C][C]21.937[/C][C]21.1999737710297[/C][C]0.737026228970262[/C][/ROW]
[ROW][C]26[/C][C]20.035[/C][C]21.3998966917643[/C][C]-1.36489669176425[/C][/ROW]
[ROW][C]27[/C][C]23.59[/C][C]23.37769212037[/C][C]0.212307879629964[/C][/ROW]
[ROW][C]28[/C][C]21.672[/C][C]21.3849017949142[/C][C]0.287098205085837[/C][/ROW]
[ROW][C]29[/C][C]22.222[/C][C]21.5105969815421[/C][C]0.711403018457897[/C][/ROW]
[ROW][C]30[/C][C]22.123[/C][C]20.7454595589411[/C][C]1.3775404410589[/C][/ROW]
[ROW][C]31[/C][C]23.95[/C][C]23.5430016422796[/C][C]0.40699835772039[/C][/ROW]
[ROW][C]32[/C][C]23.504[/C][C]23.4591440681923[/C][C]0.044855931807696[/C][/ROW]
[ROW][C]33[/C][C]22.238[/C][C]22.6821684005275[/C][C]-0.444168400527488[/C][/ROW]
[ROW][C]34[/C][C]23.142[/C][C]22.5389965359351[/C][C]0.603003464064916[/C][/ROW]
[ROW][C]35[/C][C]21.059[/C][C]21.4634994956161[/C][C]-0.404499495616143[/C][/ROW]
[ROW][C]36[/C][C]21.573[/C][C]21.6415793034748[/C][C]-0.068579303474781[/C][/ROW]
[ROW][C]37[/C][C]21.548[/C][C]20.9804434705001[/C][C]0.56755652949986[/C][/ROW]
[ROW][C]38[/C][C]20[/C][C]20.5136599636671[/C][C]-0.513659963667127[/C][/ROW]
[ROW][C]39[/C][C]22.424[/C][C]23.4019293790765[/C][C]-0.977929379076503[/C][/ROW]
[ROW][C]40[/C][C]20.615[/C][C]20.8797279551612[/C][C]-0.264727955161195[/C][/ROW]
[ROW][C]41[/C][C]21.761[/C][C]20.8778967559636[/C][C]0.883103244036377[/C][/ROW]
[ROW][C]42[/C][C]22.874[/C][C]20.4072124071409[/C][C]2.46678759285911[/C][/ROW]
[ROW][C]43[/C][C]24.104[/C][C]23.4803703900699[/C][C]0.623629609930138[/C][/ROW]
[ROW][C]44[/C][C]23.748[/C][C]23.4316951404567[/C][C]0.316304859543337[/C][/ROW]
[ROW][C]45[/C][C]23.262[/C][C]22.6832678326538[/C][C]0.578732167346189[/C][/ROW]
[ROW][C]46[/C][C]22.907[/C][C]23.3937031326248[/C][C]-0.486703132624793[/C][/ROW]
[ROW][C]47[/C][C]21.519[/C][C]21.5380676807669[/C][C]-0.0190676807669163[/C][/ROW]
[ROW][C]48[/C][C]22.025[/C][C]22.0447619534518[/C][C]-0.019761953451841[/C][/ROW]
[ROW][C]49[/C][C]22.604[/C][C]21.6380933141611[/C][C]0.965906685838902[/C][/ROW]
[ROW][C]50[/C][C]20.894[/C][C]21.0994716862325[/C][C]-0.205471686232485[/C][/ROW]
[ROW][C]51[/C][C]24.677[/C][C]24.056709872243[/C][C]0.620290127756999[/C][/ROW]
[ROW][C]52[/C][C]23.673[/C][C]22.5920445104789[/C][C]1.08095548952105[/C][/ROW]
[ROW][C]53[/C][C]25.32[/C][C]23.6720385753694[/C][C]1.64796142463058[/C][/ROW]
[ROW][C]54[/C][C]23.583[/C][C]24.1410970724191[/C][C]-0.558097072419137[/C][/ROW]
[ROW][C]55[/C][C]24.671[/C][C]25.2833429231252[/C][C]-0.61234292312524[/C][/ROW]
[ROW][C]56[/C][C]24.454[/C][C]24.5965809917317[/C][C]-0.142580991731712[/C][/ROW]
[ROW][C]57[/C][C]24.122[/C][C]23.744388463917[/C][C]0.377611536083027[/C][/ROW]
[ROW][C]58[/C][C]24.252[/C][C]24.0853918548293[/C][C]0.16660814517067[/C][/ROW]
[ROW][C]59[/C][C]22.084[/C][C]22.7288184829374[/C][C]-0.64481848293736[/C][/ROW]
[ROW][C]60[/C][C]22.991[/C][C]22.9720492941771[/C][C]0.0189507058228884[/C][/ROW]
[ROW][C]61[/C][C]23.287[/C][C]22.910538488116[/C][C]0.37646151188396[/C][/ROW]
[ROW][C]62[/C][C]23.049[/C][C]21.7767438046729[/C][C]1.27225619532708[/C][/ROW]
[ROW][C]63[/C][C]25.076[/C][C]25.7394594155088[/C][C]-0.66345941550879[/C][/ROW]
[ROW][C]64[/C][C]24.037[/C][C]23.8232895445134[/C][C]0.213710455486574[/C][/ROW]
[ROW][C]65[/C][C]24.43[/C][C]24.6711856557921[/C][C]-0.241185655792115[/C][/ROW]
[ROW][C]66[/C][C]24.667[/C][C]23.5795666833748[/C][C]1.08743331662524[/C][/ROW]
[ROW][C]67[/C][C]26.451[/C][C]25.5171688515593[/C][C]0.933831148440746[/C][/ROW]
[ROW][C]68[/C][C]25.618[/C][C]25.752887114428[/C][C]-0.134887114428022[/C][/ROW]
[ROW][C]69[/C][C]25.014[/C][C]25.0958776357665[/C][C]-0.0818776357664852[/C][/ROW]
[ROW][C]70[/C][C]25.11[/C][C]25.1869257926815[/C][C]-0.0769257926814788[/C][/ROW]
[ROW][C]71[/C][C]22.964[/C][C]23.5060178004915[/C][C]-0.542017800491479[/C][/ROW]
[ROW][C]72[/C][C]23.981[/C][C]24.0235115321253[/C][C]-0.0425115321253102[/C][/ROW]
[ROW][C]73[/C][C]23.798[/C][C]24.0668610439396[/C][C]-0.268861043939559[/C][/ROW]
[ROW][C]74[/C][C]22.27[/C][C]22.9039129034778[/C][C]-0.63391290347785[/C][/ROW]
[ROW][C]75[/C][C]24.775[/C][C]25.3763531714674[/C][C]-0.60135317146737[/C][/ROW]
[ROW][C]76[/C][C]22.646[/C][C]23.7402564864315[/C][C]-1.0942564864315[/C][/ROW]
[ROW][C]77[/C][C]23.988[/C][C]23.8001648654632[/C][C]0.187835134536808[/C][/ROW]
[ROW][C]78[/C][C]24.737[/C][C]23.2845440636088[/C][C]1.4524559363912[/C][/ROW]
[ROW][C]79[/C][C]26.276[/C][C]25.340432071316[/C][C]0.93556792868403[/C][/ROW]
[ROW][C]80[/C][C]25.816[/C][C]25.2524458728464[/C][C]0.563554127153573[/C][/ROW]
[ROW][C]81[/C][C]25.21[/C][C]24.9448776382104[/C][C]0.265122361789583[/C][/ROW]
[ROW][C]82[/C][C]25.199[/C][C]25.206836087604[/C][C]-0.00783608760399446[/C][/ROW]
[ROW][C]83[/C][C]23.162[/C][C]23.4267507000106[/C][C]-0.264750700010573[/C][/ROW]
[ROW][C]84[/C][C]24.707[/C][C]24.2306856116084[/C][C]0.4763143883916[/C][/ROW]
[ROW][C]85[/C][C]24.364[/C][C]24.4728703198997[/C][C]-0.10887031989968[/C][/ROW]
[ROW][C]86[/C][C]22.644[/C][C]23.2975388545348[/C][C]-0.65353885453483[/C][/ROW]
[ROW][C]87[/C][C]25.565[/C][C]25.7865855126477[/C][C]-0.221585512647696[/C][/ROW]
[ROW][C]88[/C][C]24.062[/C][C]24.2120380991279[/C][C]-0.150038099127936[/C][/ROW]
[ROW][C]89[/C][C]25.431[/C][C]25.1368332057766[/C][C]0.294166794223361[/C][/ROW]
[ROW][C]90[/C][C]24.635[/C][C]25.0783711068732[/C][C]-0.443371106873244[/C][/ROW]
[ROW][C]91[/C][C]27.009[/C][C]26.0789627549542[/C][C]0.93003724504581[/C][/ROW]
[ROW][C]92[/C][C]26.606[/C][C]25.889648652711[/C][C]0.716351347288988[/C][/ROW]
[ROW][C]93[/C][C]26.268[/C][C]25.5807780481077[/C][C]0.68722195189229[/C][/ROW]
[ROW][C]94[/C][C]26.462[/C][C]25.9848471676203[/C][C]0.477152832379705[/C][/ROW]
[ROW][C]95[/C][C]25.246[/C][C]24.388876610255[/C][C]0.857123389744991[/C][/ROW]
[ROW][C]96[/C][C]25.18[/C][C]25.9912456901178[/C][C]-0.811245690117836[/C][/ROW]
[ROW][C]97[/C][C]24.657[/C][C]25.4644414748617[/C][C]-0.807441474861733[/C][/ROW]
[ROW][C]98[/C][C]23.304[/C][C]23.8059702645802[/C][C]-0.501970264580219[/C][/ROW]
[ROW][C]99[/C][C]26.982[/C][C]26.5088494317003[/C][C]0.473150568299683[/C][/ROW]
[ROW][C]100[/C][C]26.199[/C][C]25.3150875864228[/C][C]0.88391241357725[/C][/ROW]
[ROW][C]101[/C][C]27.21[/C][C]26.9078372825103[/C][C]0.302162717489722[/C][/ROW]
[ROW][C]102[/C][C]26.122[/C][C]26.6780529212081[/C][C]-0.556052921208057[/C][/ROW]
[ROW][C]103[/C][C]26.706[/C][C]28.0628797382096[/C][C]-1.35687973820965[/C][/ROW]
[ROW][C]104[/C][C]26.878[/C][C]26.71338085082[/C][C]0.164619149179977[/C][/ROW]
[ROW][C]105[/C][C]26.152[/C][C]26.1271680504587[/C][C]0.0248319495413227[/C][/ROW]
[ROW][C]106[/C][C]26.379[/C][C]26.138220435851[/C][C]0.24077956414903[/C][/ROW]
[ROW][C]107[/C][C]24.712[/C][C]24.5233325272747[/C][C]0.188667472725289[/C][/ROW]
[ROW][C]108[/C][C]25.688[/C][C]25.2915851640017[/C][C]0.396414835998279[/C][/ROW]
[ROW][C]109[/C][C]24.99[/C][C]25.3405269003793[/C][C]-0.350526900379329[/C][/ROW]
[ROW][C]110[/C][C]24.239[/C][C]23.9901976362937[/C][C]0.248802363706272[/C][/ROW]
[ROW][C]111[/C][C]26.721[/C][C]27.3490077641817[/C][C]-0.628007764181671[/C][/ROW]
[ROW][C]112[/C][C]23.475[/C][C]25.737471030957[/C][C]-2.26247103095696[/C][/ROW]
[ROW][C]113[/C][C]24.767[/C][C]25.591201708633[/C][C]-0.82420170863299[/C][/ROW]
[ROW][C]114[/C][C]26.219[/C][C]24.4999521968614[/C][C]1.7190478031386[/C][/ROW]
[ROW][C]115[/C][C]28.361[/C][C]26.7135902920563[/C][C]1.64740970794374[/C][/ROW]
[ROW][C]116[/C][C]28.599[/C][C]27.2649612965276[/C][C]1.33403870347243[/C][/ROW]
[ROW][C]117[/C][C]27.914[/C][C]27.2270925240756[/C][C]0.6869074759244[/C][/ROW]
[ROW][C]118[/C][C]27.784[/C][C]27.6550132155793[/C][C]0.12898678442065[/C][/ROW]
[ROW][C]119[/C][C]25.693[/C][C]26.0039486990343[/C][C]-0.310948699034306[/C][/ROW]
[ROW][C]120[/C][C]26.881[/C][C]26.617505290655[/C][C]0.263494709345011[/C][/ROW]
[ROW][C]121[/C][C]26.217[/C][C]26.4084011345216[/C][C]-0.191401134521563[/C][/ROW]
[ROW][C]122[/C][C]24.218[/C][C]25.3356637163697[/C][C]-1.11766371636973[/C][/ROW]
[ROW][C]123[/C][C]27.914[/C][C]27.7861437086171[/C][C]0.127856291382919[/C][/ROW]
[ROW][C]124[/C][C]26.975[/C][C]26.0800374114482[/C][C]0.894962588551767[/C][/ROW]
[ROW][C]125[/C][C]28.527[/C][C]27.9389256516082[/C][C]0.588074348391789[/C][/ROW]
[ROW][C]126[/C][C]27.139[/C][C]28.3535172867185[/C][C]-1.21451728671851[/C][/ROW]
[ROW][C]127[/C][C]28.982[/C][C]29.1721200186628[/C][C]-0.190120018662842[/C][/ROW]
[ROW][C]128[/C][C]28.169[/C][C]28.7601854122946[/C][C]-0.591185412294642[/C][/ROW]
[ROW][C]129[/C][C]28.056[/C][C]27.5916579811038[/C][C]0.464342018896176[/C][/ROW]
[ROW][C]130[/C][C]29.136[/C][C]27.7330225284803[/C][C]1.40297747151966[/C][/ROW]
[ROW][C]131[/C][C]26.291[/C][C]26.5700497176499[/C][C]-0.279049717649933[/C][/ROW]
[ROW][C]132[/C][C]26.987[/C][C]27.3687319426189[/C][C]-0.381731942618877[/C][/ROW]
[ROW][C]133[/C][C]26.589[/C][C]26.7087524886497[/C][C]-0.119752488649709[/C][/ROW]
[ROW][C]134[/C][C]24.848[/C][C]25.3945535954242[/C][C]-0.546553595424179[/C][/ROW]
[ROW][C]135[/C][C]27.543[/C][C]28.4858557884287[/C][C]-0.942855788428687[/C][/ROW]
[ROW][C]136[/C][C]26.896[/C][C]26.473709118105[/C][C]0.422290881895016[/C][/ROW]
[ROW][C]137[/C][C]28.878[/C][C]27.9951215283185[/C][C]0.882878471681462[/C][/ROW]
[ROW][C]138[/C][C]27.39[/C][C]28.010656757267[/C][C]-0.620656757267014[/C][/ROW]
[ROW][C]139[/C][C]28.065[/C][C]29.4071549197916[/C][C]-1.34215491979161[/C][/ROW]
[ROW][C]140[/C][C]28.141[/C][C]28.2987915429253[/C][C]-0.157791542925331[/C][/ROW]
[ROW][C]141[/C][C]29.048[/C][C]27.6294716139412[/C][C]1.41852838605879[/C][/ROW]
[ROW][C]142[/C][C]28.484[/C][C]28.5009341804023[/C][C]-0.0169341804022594[/C][/ROW]
[ROW][C]143[/C][C]26.634[/C][C]26.138420255682[/C][C]0.495579744318029[/C][/ROW]
[ROW][C]144[/C][C]27.735[/C][C]27.2677167655302[/C][C]0.467283234469814[/C][/ROW]
[ROW][C]145[/C][C]27.132[/C][C]27.0927794720995[/C][C]0.039220527900536[/C][/ROW]
[ROW][C]146[/C][C]24.924[/C][C]25.7322654434288[/C][C]-0.808265443428777[/C][/ROW]
[ROW][C]147[/C][C]28.963[/C][C]28.5794471056851[/C][C]0.383552894314914[/C][/ROW]
[ROW][C]148[/C][C]26.589[/C][C]27.6218608260071[/C][C]-1.03286082600715[/C][/ROW]
[ROW][C]149[/C][C]27.931[/C][C]28.5714269408098[/C][C]-0.640426940809775[/C][/ROW]
[ROW][C]150[/C][C]28.009[/C][C]27.3876917685838[/C][C]0.621308231416155[/C][/ROW]
[ROW][C]151[/C][C]29.229[/C][C]29.1646771295079[/C][C]0.064322870492095[/C][/ROW]
[ROW][C]152[/C][C]28.759[/C][C]29.0920366473763[/C][C]-0.333036647376261[/C][/ROW]
[ROW][C]153[/C][C]28.405[/C][C]28.8072097155341[/C][C]-0.402209715534067[/C][/ROW]
[ROW][C]154[/C][C]27.945[/C][C]28.3651809662531[/C][C]-0.420180966253096[/C][/ROW]
[ROW][C]155[/C][C]25.912[/C][C]25.9349945734654[/C][C]-0.022994573465418[/C][/ROW]
[ROW][C]156[/C][C]26.619[/C][C]26.7758535992708[/C][C]-0.156853599270779[/C][/ROW]
[ROW][C]157[/C][C]26.076[/C][C]26.1360202319584[/C][C]-0.0600202319583616[/C][/ROW]
[ROW][C]158[/C][C]25.286[/C][C]24.4400991368616[/C][C]0.845900863138393[/C][/ROW]
[ROW][C]159[/C][C]27.66[/C][C]28.4160096343778[/C][C]-0.75600963437779[/C][/ROW]
[ROW][C]160[/C][C]25.951[/C][C]26.4627628012792[/C][C]-0.511762801279165[/C][/ROW]
[ROW][C]161[/C][C]26.398[/C][C]27.7525490532757[/C][C]-1.35454905327566[/C][/ROW]
[ROW][C]162[/C][C]25.565[/C][C]26.5563346306684[/C][C]-0.991334630668415[/C][/ROW]
[ROW][C]163[/C][C]28.865[/C][C]27.3339766862602[/C][C]1.53102331373978[/C][/ROW]
[ROW][C]164[/C][C]30[/C][C]27.815039980637[/C][C]2.184960019363[/C][/ROW]
[ROW][C]165[/C][C]29.261[/C][C]28.7229983844152[/C][C]0.538001615584797[/C][/ROW]
[ROW][C]166[/C][C]29.012[/C][C]28.7411658882835[/C][C]0.270834111716532[/C][/ROW]
[ROW][C]167[/C][C]26.992[/C][C]26.7819620029467[/C][C]0.210037997053302[/C][/ROW]
[ROW][C]168[/C][C]27.897[/C][C]27.721435080714[/C][C]0.175564919286007[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150445&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150445&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
1321.43923.1357940705128-1.69679407051283
1421.08921.8308888838263-0.741888883826274
1523.70923.9072356973539-0.198235697353905
1621.66921.58463107288660.0843689271133528
1721.75221.51601972839190.235980271608117
1820.76120.43660890347050.324391096529528
1923.47922.44489566313381.03410433686615
2023.82422.51934739202871.30465260797127
2123.10522.50969279533210.595307204667908
2223.1122.96787272903290.142127270967059
2321.75921.63716978300830.121830216991725
2422.07322.0735991444243-0.000599144424295872
2521.93721.19997377102970.737026228970262
2620.03521.3998966917643-1.36489669176425
2723.5923.377692120370.212307879629964
2821.67221.38490179491420.287098205085837
2922.22221.51059698154210.711403018457897
3022.12320.74545955894111.3775404410589
3123.9523.54300164227960.40699835772039
3223.50423.45914406819230.044855931807696
3322.23822.6821684005275-0.444168400527488
3423.14222.53899653593510.603003464064916
3521.05921.4634994956161-0.404499495616143
3621.57321.6415793034748-0.068579303474781
3721.54820.98044347050010.56755652949986
382020.5136599636671-0.513659963667127
3922.42423.4019293790765-0.977929379076503
4020.61520.8797279551612-0.264727955161195
4121.76120.87789675596360.883103244036377
4222.87420.40721240714092.46678759285911
4324.10423.48037039006990.623629609930138
4423.74823.43169514045670.316304859543337
4523.26222.68326783265380.578732167346189
4622.90723.3937031326248-0.486703132624793
4721.51921.5380676807669-0.0190676807669163
4822.02522.0447619534518-0.019761953451841
4922.60421.63809331416110.965906685838902
5020.89421.0994716862325-0.205471686232485
5124.67724.0567098722430.620290127756999
5223.67322.59204451047891.08095548952105
5325.3223.67203857536941.64796142463058
5423.58324.1410970724191-0.558097072419137
5524.67125.2833429231252-0.61234292312524
5624.45424.5965809917317-0.142580991731712
5724.12223.7443884639170.377611536083027
5824.25224.08539185482930.16660814517067
5922.08422.7288184829374-0.64481848293736
6022.99122.97204929417710.0189507058228884
6123.28722.9105384881160.37646151188396
6223.04921.77674380467291.27225619532708
6325.07625.7394594155088-0.66345941550879
6424.03723.82328954451340.213710455486574
6524.4324.6711856557921-0.241185655792115
6624.66723.57956668337481.08743331662524
6726.45125.51716885155930.933831148440746
6825.61825.752887114428-0.134887114428022
6925.01425.0958776357665-0.0818776357664852
7025.1125.1869257926815-0.0769257926814788
7122.96423.5060178004915-0.542017800491479
7223.98124.0235115321253-0.0425115321253102
7323.79824.0668610439396-0.268861043939559
7422.2722.9039129034778-0.63391290347785
7524.77525.3763531714674-0.60135317146737
7622.64623.7402564864315-1.0942564864315
7723.98823.80016486546320.187835134536808
7824.73723.28454406360881.4524559363912
7926.27625.3404320713160.93556792868403
8025.81625.25244587284640.563554127153573
8125.2124.94487763821040.265122361789583
8225.19925.206836087604-0.00783608760399446
8323.16223.4267507000106-0.264750700010573
8424.70724.23068561160840.4763143883916
8524.36424.4728703198997-0.10887031989968
8622.64423.2975388545348-0.65353885453483
8725.56525.7865855126477-0.221585512647696
8824.06224.2120380991279-0.150038099127936
8925.43125.13683320577660.294166794223361
9024.63525.0783711068732-0.443371106873244
9127.00926.07896275495420.93003724504581
9226.60625.8896486527110.716351347288988
9326.26825.58077804810770.68722195189229
9426.46225.98484716762030.477152832379705
9525.24624.3888766102550.857123389744991
9625.1825.9912456901178-0.811245690117836
9724.65725.4644414748617-0.807441474861733
9823.30423.8059702645802-0.501970264580219
9926.98226.50884943170030.473150568299683
10026.19925.31508758642280.88391241357725
10127.2126.90783728251030.302162717489722
10226.12226.6780529212081-0.556052921208057
10326.70628.0628797382096-1.35687973820965
10426.87826.713380850820.164619149179977
10526.15226.12716805045870.0248319495413227
10626.37926.1382204358510.24077956414903
10724.71224.52333252727470.188667472725289
10825.68825.29158516400170.396414835998279
10924.9925.3405269003793-0.350526900379329
11024.23923.99019763629370.248802363706272
11126.72127.3490077641817-0.628007764181671
11223.47525.737471030957-2.26247103095696
11324.76725.591201708633-0.82420170863299
11426.21924.49995219686141.7190478031386
11528.36126.71359029205631.64740970794374
11628.59927.26496129652761.33403870347243
11727.91427.22709252407560.6869074759244
11827.78427.65501321557930.12898678442065
11925.69326.0039486990343-0.310948699034306
12026.88126.6175052906550.263494709345011
12126.21726.4084011345216-0.191401134521563
12224.21825.3356637163697-1.11766371636973
12327.91427.78614370861710.127856291382919
12426.97526.08003741144820.894962588551767
12528.52727.93892565160820.588074348391789
12627.13928.3535172867185-1.21451728671851
12728.98229.1721200186628-0.190120018662842
12828.16928.7601854122946-0.591185412294642
12928.05627.59165798110380.464342018896176
13029.13627.73302252848031.40297747151966
13126.29126.5700497176499-0.279049717649933
13226.98727.3687319426189-0.381731942618877
13326.58926.7087524886497-0.119752488649709
13424.84825.3945535954242-0.546553595424179
13527.54328.4858557884287-0.942855788428687
13626.89626.4737091181050.422290881895016
13728.87827.99512152831850.882878471681462
13827.3928.010656757267-0.620656757267014
13928.06529.4071549197916-1.34215491979161
14028.14128.2987915429253-0.157791542925331
14129.04827.62947161394121.41852838605879
14228.48428.5009341804023-0.0169341804022594
14326.63426.1384202556820.495579744318029
14427.73527.26771676553020.467283234469814
14527.13227.09277947209950.039220527900536
14624.92425.7322654434288-0.808265443428777
14728.96328.57944710568510.383552894314914
14826.58927.6218608260071-1.03286082600715
14927.93128.5714269408098-0.640426940809775
15028.00927.38769176858380.621308231416155
15129.22929.16467712950790.064322870492095
15228.75929.0920366473763-0.333036647376261
15328.40528.8072097155341-0.402209715534067
15427.94528.3651809662531-0.420180966253096
15525.91225.9349945734654-0.022994573465418
15626.61926.7758535992708-0.156853599270779
15726.07626.1360202319584-0.0600202319583616
15825.28624.44009913686160.845900863138393
15927.6628.4160096343778-0.75600963437779
16025.95126.4627628012792-0.511762801279165
16126.39827.7525490532757-1.35454905327566
16225.56526.5563346306684-0.991334630668415
16328.86527.33397668626021.53102331373978
1643027.8150399806372.184960019363
16529.26128.72299838441520.538001615584797
16629.01228.74116588828350.270834111716532
16726.99226.78196200294670.210037997053302
16827.89727.7214350807140.175564919286007







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16927.300200577072625.809015524658328.791385629487
17025.928216926130424.263162500756427.5932713515043
17129.04779132378727.216537641675330.8790450058988
17227.560013140501825.568077284478729.5519489965249
17328.887932303300126.739377992643631.0364866139567
17428.5074870454426.205347664378530.8096264265015
17530.569429962972628.115980771714333.022879154231
17630.551334589139627.948276501775533.1543926765038
17729.942433252634527.191021739656732.6938447656122
17829.632664296198726.733802653355832.5315259390417
17927.530654461624.484963061345330.5763458618548
18028.36129355389225.169162396646131.5534247111379

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
169 & 27.3002005770726 & 25.8090155246583 & 28.791385629487 \tabularnewline
170 & 25.9282169261304 & 24.2631625007564 & 27.5932713515043 \tabularnewline
171 & 29.047791323787 & 27.2165376416753 & 30.8790450058988 \tabularnewline
172 & 27.5600131405018 & 25.5680772844787 & 29.5519489965249 \tabularnewline
173 & 28.8879323033001 & 26.7393779926436 & 31.0364866139567 \tabularnewline
174 & 28.50748704544 & 26.2053476643785 & 30.8096264265015 \tabularnewline
175 & 30.5694299629726 & 28.1159807717143 & 33.022879154231 \tabularnewline
176 & 30.5513345891396 & 27.9482765017755 & 33.1543926765038 \tabularnewline
177 & 29.9424332526345 & 27.1910217396567 & 32.6938447656122 \tabularnewline
178 & 29.6326642961987 & 26.7338026533558 & 32.5315259390417 \tabularnewline
179 & 27.5306544616 & 24.4849630613453 & 30.5763458618548 \tabularnewline
180 & 28.361293553892 & 25.1691623966461 & 31.5534247111379 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150445&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]169[/C][C]27.3002005770726[/C][C]25.8090155246583[/C][C]28.791385629487[/C][/ROW]
[ROW][C]170[/C][C]25.9282169261304[/C][C]24.2631625007564[/C][C]27.5932713515043[/C][/ROW]
[ROW][C]171[/C][C]29.047791323787[/C][C]27.2165376416753[/C][C]30.8790450058988[/C][/ROW]
[ROW][C]172[/C][C]27.5600131405018[/C][C]25.5680772844787[/C][C]29.5519489965249[/C][/ROW]
[ROW][C]173[/C][C]28.8879323033001[/C][C]26.7393779926436[/C][C]31.0364866139567[/C][/ROW]
[ROW][C]174[/C][C]28.50748704544[/C][C]26.2053476643785[/C][C]30.8096264265015[/C][/ROW]
[ROW][C]175[/C][C]30.5694299629726[/C][C]28.1159807717143[/C][C]33.022879154231[/C][/ROW]
[ROW][C]176[/C][C]30.5513345891396[/C][C]27.9482765017755[/C][C]33.1543926765038[/C][/ROW]
[ROW][C]177[/C][C]29.9424332526345[/C][C]27.1910217396567[/C][C]32.6938447656122[/C][/ROW]
[ROW][C]178[/C][C]29.6326642961987[/C][C]26.7338026533558[/C][C]32.5315259390417[/C][/ROW]
[ROW][C]179[/C][C]27.5306544616[/C][C]24.4849630613453[/C][C]30.5763458618548[/C][/ROW]
[ROW][C]180[/C][C]28.361293553892[/C][C]25.1691623966461[/C][C]31.5534247111379[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150445&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150445&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
16927.300200577072625.809015524658328.791385629487
17025.928216926130424.263162500756427.5932713515043
17129.04779132378727.216537641675330.8790450058988
17227.560013140501825.568077284478729.5519489965249
17328.887932303300126.739377992643631.0364866139567
17428.5074870454426.205347664378530.8096264265015
17530.569429962972628.115980771714333.022879154231
17630.551334589139627.948276501775533.1543926765038
17729.942433252634527.191021739656732.6938447656122
17829.632664296198726.733802653355832.5315259390417
17927.530654461624.484963061345330.5763458618548
18028.36129355389225.169162396646131.5534247111379



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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')