Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 31 May 2010 18:02:03 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/31/t12753290381talna6nkphf36q.htm/, Retrieved Mon, 29 Apr 2024 12:01:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76776, Retrieved Mon, 29 Apr 2024 12:01:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [geboortes new york] [2010-05-31 18:02:03] [a7d39df6c2be69350098f9d3ad37507c] [Current]
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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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76776&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76776&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76776&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.660335318562836
beta0.204922662099265
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.660335318562836 \tabularnewline
beta & 0.204922662099265 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76776&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]0.660335318562836[/C][/ROW]
[ROW][C]beta[/C][C]0.204922662099265[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76776&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76776&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
alpha0.660335318562836
beta0.204922662099265
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
326.93120.5336.398
424.7422.55858782951392.18141217048609
525.80622.09499740655993.71100259344012
624.36423.14361379216591.22038620783408
724.47722.71272803316661.76427196683342
823.90122.87972642429211.02127357570793
923.17522.69429309820630.480706901793653
1023.22722.21695264385351.01004735614654
1121.67222.225831643249-0.553831643248994
1221.8721.12708289709610.742917102903913
1321.43920.98515295970710.453847040292946
1421.08920.7137533750820.375246624917981
1523.70920.44122865960013.26777134039994
1621.66922.5209273818803-0.85192738188029
1721.75221.7649627065185-0.0129627065184863
1820.76121.5612419540641-0.800241954064106
1923.47920.72936603113682.7496339688632
2023.82422.61367262238781.21032737761217
2123.10523.6452993876586-0.540299387658632
2223.1123.4478134152256-0.337813415225558
2321.75923.3383239572017-1.57932395720174
2422.07322.1953107997344-0.122310799734429
2521.93721.9978640771515-0.0608640771515283
2620.03521.8327568105106-1.79775681051055
2723.5920.27744966221113.31255033778892
2821.67222.5449054106038-0.872905410603835
2922.22221.93043737657220.291562623427755
3022.12322.1243622880064-0.00136228800644034
3123.9522.1246741930931.82532580690701
3223.50423.5782116009096-0.0742116009095852
3322.23823.7673752283907-1.52937522839075
3423.14222.78869142381950.353308576180453
3521.05923.1010191228925-2.04201912289253
3621.57321.55530607015730.0176939298426753
3721.54821.37208859363150.175911406368467
382021.3171516267447-1.31715162674471
3922.42420.09805851529612.32594148470388
4020.61521.5993694395753-0.98436943957526
4121.76120.78156256480910.97943743519087
4222.87421.39306192125851.48093807874148
4324.10422.53611695716711.56788304283285
4423.74823.9487471059544-0.20074710595442
4523.26224.1663236711128-0.904323671112795
4622.90723.796932807655-0.889932807655011
4721.51923.316621104406-1.797621104406
4822.02521.99368085873380.0313191412661631
4922.60421.88269248608510.721307513914937
5020.89422.32493345841-1.43093345841001
5124.67721.15234311919043.52465688080961
5223.67323.7290524667336-0.056052466733604
5325.3223.93370807731371.38629192268633
5423.58325.2783844245591-1.69538442455908
5524.67124.35870556695060.312294433049431
5624.45424.8070269228112-0.353026922811182
5724.12224.7682423080814-0.646242308081412
5824.25224.4483892142491-0.196389214249063
5922.08424.399015075287-2.31501507528695
6022.99122.63737500431430.35362499568572
6123.28722.68578393568710.601216064312904
6223.04922.9790411520410.069958847958965
6325.07622.93095713359182.14504286640821
6424.03724.5433865871555-0.506386587155465
6524.4324.33646047407240.0935395259275573
6624.66724.53834431281470.128655687185283
6726.45124.78082598108471.6701740189153
6825.61826.2672307070104-0.649230707010435
6925.01426.134198186919-1.12019818691905
7025.1125.5385865958361-0.428586595836066
7122.96425.3416752249488-2.3776752249488
7223.98123.53597031856330.445029681436662
7323.79823.6544175359220.143582464077962
7422.2723.5932377536632-1.32323775366318
7524.77522.3844073241692.39059267583096
7622.64623.9514397284824-1.30543972848235
7723.98822.90120233351831.08679766648166
7824.73723.57770671030151.15929328969851
7926.27624.4589553759191.81704462408102
8025.81626.0204187257454-0.204418725745406
8125.2126.2193769645512-1.00937696455125
8225.19925.7502063079399-0.55120630793991
8323.16225.5089939637899-2.34699396378987
8424.70723.76436984797150.942630152028546
8524.36424.31955523774840.0444447622516186
8622.64424.2876512537704-1.64365125377043
8725.56522.91862278910292.64637721089707
8824.06224.7405532390089-0.67855323900891
8925.43124.27509443688181.1559055631182
9024.63525.1774080213587-0.542408021358675
9127.00924.88486777363422.12413222636577
9226.60626.64057085638-0.0345708563799612
9326.26826.966128003516-0.698128003516029
9426.46226.7590458747677-0.297045874767711
9525.24626.7766168852162-1.53061688521619
9625.1825.7724978768615-0.592497876861504
9724.65725.3076765497571-0.650676549757069
9823.30424.7163897546322-1.41238975463215
9926.98223.43099553506573.55100446493428
10026.19925.90361947380660.295380526193387
10127.2126.26641014680730.943589853192744
10226.12227.1849207138986-1.06292071389856
10326.70626.63462953062690.0713704693730755
10426.87826.84300856292330.0349914370767195
10526.15227.0321001951219-0.880100195121909
10626.37926.4978313938928-0.118831393892794
10724.71226.4501752815295-1.73817528152945
10825.68825.09800337575210.589996624247934
10924.9925.3630425763476-0.373042576347583
11024.23924.9416737268806-0.70267372688059
11126.72124.20755361417222.51344638582782
11223.47525.937264912639-2.46226491263898
11324.76724.0481503515110.718849648488966
11426.21924.35691114798051.86208885201953
11528.36125.67256669542392.68843330457612
11628.59927.89767920456560.70132079543442
11727.91428.9055322388762-0.991532238876164
11827.78428.661362791854-0.877362791854043
11925.69328.3738607730715-2.68086077307152
12026.88126.53267750328710.348322496712896
12126.21726.7389051220778-0.521905122077811
12224.21826.2998677232028-2.08186772320277
12327.91424.54901843078853.36498156921155
12426.97526.85025757115280.124742428847195
12528.52727.0287322215361.49826777846395
12627.13928.3169362780652-1.17793627806516
12728.98227.6785526822311.30344731776899
12828.16928.855093769407-0.686093769407005
12928.05628.6250299977794-0.56902999777936
13029.13628.39526775484920.740732245150763
13126.29129.1306219423596-2.83962194235958
13226.98727.1174907781151-0.130490778115142
13326.58926.8756368960123-0.286636896012318
13424.84826.4918871801118-1.64388718011182
13527.54324.98945018030292.55354981969712
13626.89626.60426949420840.29173050579158
13728.87826.76500592364242.1129940763576
13827.3928.4143124511391-1.02431245113907
13928.06527.85333709774080.211662902259246
14028.14128.13716165411110.0038383458888589
14129.04828.28427171187310.763728288126945
14228.48429.0365098702151-0.552509870215065
14326.63428.8448251359239-2.2108251359239
14427.73527.25893255320020.476067446799821
14527.13227.5117103783438-0.379710378343777
14624.92427.1480063565142-2.2240063565142
14728.96325.26550120116633.69749879883373
14826.58927.7935119662539-1.20451196625391
14927.93126.92156013678251.00943986321746
15028.00927.64815394557450.360846054425483
15129.22927.99528720282361.23371279717644
15228.75929.0857483415485-0.326748341548516
15328.40529.1015670524301-0.696567052430147
15427.94528.7789235755717-0.833923575571667
15525.91228.2527341389109-2.3407341389109
15626.61926.41480177594790.204198224052067
15726.07626.2850097637772-0.209009763777161
15825.28625.854079208805-0.568079208805045
15927.6625.10917126178182.55082873821817
16025.95126.7689605924133-0.817960592413257
16126.39826.09353482460310.304465175396924
16225.56526.2004859522873-0.6354859522873
16328.86525.60076167339443.26423832660561
1643028.01787219762551.98212780237454
16529.26129.856576778957-0.595576778957042
16629.01229.9125399215708-0.90053992157075
16726.99229.6452661651048-2.65326616510479
16827.89727.86157156730620.0354284326937844

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 26.931 & 20.533 & 6.398 \tabularnewline
4 & 24.74 & 22.5585878295139 & 2.18141217048609 \tabularnewline
5 & 25.806 & 22.0949974065599 & 3.71100259344012 \tabularnewline
6 & 24.364 & 23.1436137921659 & 1.22038620783408 \tabularnewline
7 & 24.477 & 22.7127280331666 & 1.76427196683342 \tabularnewline
8 & 23.901 & 22.8797264242921 & 1.02127357570793 \tabularnewline
9 & 23.175 & 22.6942930982063 & 0.480706901793653 \tabularnewline
10 & 23.227 & 22.2169526438535 & 1.01004735614654 \tabularnewline
11 & 21.672 & 22.225831643249 & -0.553831643248994 \tabularnewline
12 & 21.87 & 21.1270828970961 & 0.742917102903913 \tabularnewline
13 & 21.439 & 20.9851529597071 & 0.453847040292946 \tabularnewline
14 & 21.089 & 20.713753375082 & 0.375246624917981 \tabularnewline
15 & 23.709 & 20.4412286596001 & 3.26777134039994 \tabularnewline
16 & 21.669 & 22.5209273818803 & -0.85192738188029 \tabularnewline
17 & 21.752 & 21.7649627065185 & -0.0129627065184863 \tabularnewline
18 & 20.761 & 21.5612419540641 & -0.800241954064106 \tabularnewline
19 & 23.479 & 20.7293660311368 & 2.7496339688632 \tabularnewline
20 & 23.824 & 22.6136726223878 & 1.21032737761217 \tabularnewline
21 & 23.105 & 23.6452993876586 & -0.540299387658632 \tabularnewline
22 & 23.11 & 23.4478134152256 & -0.337813415225558 \tabularnewline
23 & 21.759 & 23.3383239572017 & -1.57932395720174 \tabularnewline
24 & 22.073 & 22.1953107997344 & -0.122310799734429 \tabularnewline
25 & 21.937 & 21.9978640771515 & -0.0608640771515283 \tabularnewline
26 & 20.035 & 21.8327568105106 & -1.79775681051055 \tabularnewline
27 & 23.59 & 20.2774496622111 & 3.31255033778892 \tabularnewline
28 & 21.672 & 22.5449054106038 & -0.872905410603835 \tabularnewline
29 & 22.222 & 21.9304373765722 & 0.291562623427755 \tabularnewline
30 & 22.123 & 22.1243622880064 & -0.00136228800644034 \tabularnewline
31 & 23.95 & 22.124674193093 & 1.82532580690701 \tabularnewline
32 & 23.504 & 23.5782116009096 & -0.0742116009095852 \tabularnewline
33 & 22.238 & 23.7673752283907 & -1.52937522839075 \tabularnewline
34 & 23.142 & 22.7886914238195 & 0.353308576180453 \tabularnewline
35 & 21.059 & 23.1010191228925 & -2.04201912289253 \tabularnewline
36 & 21.573 & 21.5553060701573 & 0.0176939298426753 \tabularnewline
37 & 21.548 & 21.3720885936315 & 0.175911406368467 \tabularnewline
38 & 20 & 21.3171516267447 & -1.31715162674471 \tabularnewline
39 & 22.424 & 20.0980585152961 & 2.32594148470388 \tabularnewline
40 & 20.615 & 21.5993694395753 & -0.98436943957526 \tabularnewline
41 & 21.761 & 20.7815625648091 & 0.97943743519087 \tabularnewline
42 & 22.874 & 21.3930619212585 & 1.48093807874148 \tabularnewline
43 & 24.104 & 22.5361169571671 & 1.56788304283285 \tabularnewline
44 & 23.748 & 23.9487471059544 & -0.20074710595442 \tabularnewline
45 & 23.262 & 24.1663236711128 & -0.904323671112795 \tabularnewline
46 & 22.907 & 23.796932807655 & -0.889932807655011 \tabularnewline
47 & 21.519 & 23.316621104406 & -1.797621104406 \tabularnewline
48 & 22.025 & 21.9936808587338 & 0.0313191412661631 \tabularnewline
49 & 22.604 & 21.8826924860851 & 0.721307513914937 \tabularnewline
50 & 20.894 & 22.32493345841 & -1.43093345841001 \tabularnewline
51 & 24.677 & 21.1523431191904 & 3.52465688080961 \tabularnewline
52 & 23.673 & 23.7290524667336 & -0.056052466733604 \tabularnewline
53 & 25.32 & 23.9337080773137 & 1.38629192268633 \tabularnewline
54 & 23.583 & 25.2783844245591 & -1.69538442455908 \tabularnewline
55 & 24.671 & 24.3587055669506 & 0.312294433049431 \tabularnewline
56 & 24.454 & 24.8070269228112 & -0.353026922811182 \tabularnewline
57 & 24.122 & 24.7682423080814 & -0.646242308081412 \tabularnewline
58 & 24.252 & 24.4483892142491 & -0.196389214249063 \tabularnewline
59 & 22.084 & 24.399015075287 & -2.31501507528695 \tabularnewline
60 & 22.991 & 22.6373750043143 & 0.35362499568572 \tabularnewline
61 & 23.287 & 22.6857839356871 & 0.601216064312904 \tabularnewline
62 & 23.049 & 22.979041152041 & 0.069958847958965 \tabularnewline
63 & 25.076 & 22.9309571335918 & 2.14504286640821 \tabularnewline
64 & 24.037 & 24.5433865871555 & -0.506386587155465 \tabularnewline
65 & 24.43 & 24.3364604740724 & 0.0935395259275573 \tabularnewline
66 & 24.667 & 24.5383443128147 & 0.128655687185283 \tabularnewline
67 & 26.451 & 24.7808259810847 & 1.6701740189153 \tabularnewline
68 & 25.618 & 26.2672307070104 & -0.649230707010435 \tabularnewline
69 & 25.014 & 26.134198186919 & -1.12019818691905 \tabularnewline
70 & 25.11 & 25.5385865958361 & -0.428586595836066 \tabularnewline
71 & 22.964 & 25.3416752249488 & -2.3776752249488 \tabularnewline
72 & 23.981 & 23.5359703185633 & 0.445029681436662 \tabularnewline
73 & 23.798 & 23.654417535922 & 0.143582464077962 \tabularnewline
74 & 22.27 & 23.5932377536632 & -1.32323775366318 \tabularnewline
75 & 24.775 & 22.384407324169 & 2.39059267583096 \tabularnewline
76 & 22.646 & 23.9514397284824 & -1.30543972848235 \tabularnewline
77 & 23.988 & 22.9012023335183 & 1.08679766648166 \tabularnewline
78 & 24.737 & 23.5777067103015 & 1.15929328969851 \tabularnewline
79 & 26.276 & 24.458955375919 & 1.81704462408102 \tabularnewline
80 & 25.816 & 26.0204187257454 & -0.204418725745406 \tabularnewline
81 & 25.21 & 26.2193769645512 & -1.00937696455125 \tabularnewline
82 & 25.199 & 25.7502063079399 & -0.55120630793991 \tabularnewline
83 & 23.162 & 25.5089939637899 & -2.34699396378987 \tabularnewline
84 & 24.707 & 23.7643698479715 & 0.942630152028546 \tabularnewline
85 & 24.364 & 24.3195552377484 & 0.0444447622516186 \tabularnewline
86 & 22.644 & 24.2876512537704 & -1.64365125377043 \tabularnewline
87 & 25.565 & 22.9186227891029 & 2.64637721089707 \tabularnewline
88 & 24.062 & 24.7405532390089 & -0.67855323900891 \tabularnewline
89 & 25.431 & 24.2750944368818 & 1.1559055631182 \tabularnewline
90 & 24.635 & 25.1774080213587 & -0.542408021358675 \tabularnewline
91 & 27.009 & 24.8848677736342 & 2.12413222636577 \tabularnewline
92 & 26.606 & 26.64057085638 & -0.0345708563799612 \tabularnewline
93 & 26.268 & 26.966128003516 & -0.698128003516029 \tabularnewline
94 & 26.462 & 26.7590458747677 & -0.297045874767711 \tabularnewline
95 & 25.246 & 26.7766168852162 & -1.53061688521619 \tabularnewline
96 & 25.18 & 25.7724978768615 & -0.592497876861504 \tabularnewline
97 & 24.657 & 25.3076765497571 & -0.650676549757069 \tabularnewline
98 & 23.304 & 24.7163897546322 & -1.41238975463215 \tabularnewline
99 & 26.982 & 23.4309955350657 & 3.55100446493428 \tabularnewline
100 & 26.199 & 25.9036194738066 & 0.295380526193387 \tabularnewline
101 & 27.21 & 26.2664101468073 & 0.943589853192744 \tabularnewline
102 & 26.122 & 27.1849207138986 & -1.06292071389856 \tabularnewline
103 & 26.706 & 26.6346295306269 & 0.0713704693730755 \tabularnewline
104 & 26.878 & 26.8430085629233 & 0.0349914370767195 \tabularnewline
105 & 26.152 & 27.0321001951219 & -0.880100195121909 \tabularnewline
106 & 26.379 & 26.4978313938928 & -0.118831393892794 \tabularnewline
107 & 24.712 & 26.4501752815295 & -1.73817528152945 \tabularnewline
108 & 25.688 & 25.0980033757521 & 0.589996624247934 \tabularnewline
109 & 24.99 & 25.3630425763476 & -0.373042576347583 \tabularnewline
110 & 24.239 & 24.9416737268806 & -0.70267372688059 \tabularnewline
111 & 26.721 & 24.2075536141722 & 2.51344638582782 \tabularnewline
112 & 23.475 & 25.937264912639 & -2.46226491263898 \tabularnewline
113 & 24.767 & 24.048150351511 & 0.718849648488966 \tabularnewline
114 & 26.219 & 24.3569111479805 & 1.86208885201953 \tabularnewline
115 & 28.361 & 25.6725666954239 & 2.68843330457612 \tabularnewline
116 & 28.599 & 27.8976792045656 & 0.70132079543442 \tabularnewline
117 & 27.914 & 28.9055322388762 & -0.991532238876164 \tabularnewline
118 & 27.784 & 28.661362791854 & -0.877362791854043 \tabularnewline
119 & 25.693 & 28.3738607730715 & -2.68086077307152 \tabularnewline
120 & 26.881 & 26.5326775032871 & 0.348322496712896 \tabularnewline
121 & 26.217 & 26.7389051220778 & -0.521905122077811 \tabularnewline
122 & 24.218 & 26.2998677232028 & -2.08186772320277 \tabularnewline
123 & 27.914 & 24.5490184307885 & 3.36498156921155 \tabularnewline
124 & 26.975 & 26.8502575711528 & 0.124742428847195 \tabularnewline
125 & 28.527 & 27.028732221536 & 1.49826777846395 \tabularnewline
126 & 27.139 & 28.3169362780652 & -1.17793627806516 \tabularnewline
127 & 28.982 & 27.678552682231 & 1.30344731776899 \tabularnewline
128 & 28.169 & 28.855093769407 & -0.686093769407005 \tabularnewline
129 & 28.056 & 28.6250299977794 & -0.56902999777936 \tabularnewline
130 & 29.136 & 28.3952677548492 & 0.740732245150763 \tabularnewline
131 & 26.291 & 29.1306219423596 & -2.83962194235958 \tabularnewline
132 & 26.987 & 27.1174907781151 & -0.130490778115142 \tabularnewline
133 & 26.589 & 26.8756368960123 & -0.286636896012318 \tabularnewline
134 & 24.848 & 26.4918871801118 & -1.64388718011182 \tabularnewline
135 & 27.543 & 24.9894501803029 & 2.55354981969712 \tabularnewline
136 & 26.896 & 26.6042694942084 & 0.29173050579158 \tabularnewline
137 & 28.878 & 26.7650059236424 & 2.1129940763576 \tabularnewline
138 & 27.39 & 28.4143124511391 & -1.02431245113907 \tabularnewline
139 & 28.065 & 27.8533370977408 & 0.211662902259246 \tabularnewline
140 & 28.141 & 28.1371616541111 & 0.0038383458888589 \tabularnewline
141 & 29.048 & 28.2842717118731 & 0.763728288126945 \tabularnewline
142 & 28.484 & 29.0365098702151 & -0.552509870215065 \tabularnewline
143 & 26.634 & 28.8448251359239 & -2.2108251359239 \tabularnewline
144 & 27.735 & 27.2589325532002 & 0.476067446799821 \tabularnewline
145 & 27.132 & 27.5117103783438 & -0.379710378343777 \tabularnewline
146 & 24.924 & 27.1480063565142 & -2.2240063565142 \tabularnewline
147 & 28.963 & 25.2655012011663 & 3.69749879883373 \tabularnewline
148 & 26.589 & 27.7935119662539 & -1.20451196625391 \tabularnewline
149 & 27.931 & 26.9215601367825 & 1.00943986321746 \tabularnewline
150 & 28.009 & 27.6481539455745 & 0.360846054425483 \tabularnewline
151 & 29.229 & 27.9952872028236 & 1.23371279717644 \tabularnewline
152 & 28.759 & 29.0857483415485 & -0.326748341548516 \tabularnewline
153 & 28.405 & 29.1015670524301 & -0.696567052430147 \tabularnewline
154 & 27.945 & 28.7789235755717 & -0.833923575571667 \tabularnewline
155 & 25.912 & 28.2527341389109 & -2.3407341389109 \tabularnewline
156 & 26.619 & 26.4148017759479 & 0.204198224052067 \tabularnewline
157 & 26.076 & 26.2850097637772 & -0.209009763777161 \tabularnewline
158 & 25.286 & 25.854079208805 & -0.568079208805045 \tabularnewline
159 & 27.66 & 25.1091712617818 & 2.55082873821817 \tabularnewline
160 & 25.951 & 26.7689605924133 & -0.817960592413257 \tabularnewline
161 & 26.398 & 26.0935348246031 & 0.304465175396924 \tabularnewline
162 & 25.565 & 26.2004859522873 & -0.6354859522873 \tabularnewline
163 & 28.865 & 25.6007616733944 & 3.26423832660561 \tabularnewline
164 & 30 & 28.0178721976255 & 1.98212780237454 \tabularnewline
165 & 29.261 & 29.856576778957 & -0.595576778957042 \tabularnewline
166 & 29.012 & 29.9125399215708 & -0.90053992157075 \tabularnewline
167 & 26.992 & 29.6452661651048 & -2.65326616510479 \tabularnewline
168 & 27.897 & 27.8615715673062 & 0.0354284326937844 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76776&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]3[/C][C]26.931[/C][C]20.533[/C][C]6.398[/C][/ROW]
[ROW][C]4[/C][C]24.74[/C][C]22.5585878295139[/C][C]2.18141217048609[/C][/ROW]
[ROW][C]5[/C][C]25.806[/C][C]22.0949974065599[/C][C]3.71100259344012[/C][/ROW]
[ROW][C]6[/C][C]24.364[/C][C]23.1436137921659[/C][C]1.22038620783408[/C][/ROW]
[ROW][C]7[/C][C]24.477[/C][C]22.7127280331666[/C][C]1.76427196683342[/C][/ROW]
[ROW][C]8[/C][C]23.901[/C][C]22.8797264242921[/C][C]1.02127357570793[/C][/ROW]
[ROW][C]9[/C][C]23.175[/C][C]22.6942930982063[/C][C]0.480706901793653[/C][/ROW]
[ROW][C]10[/C][C]23.227[/C][C]22.2169526438535[/C][C]1.01004735614654[/C][/ROW]
[ROW][C]11[/C][C]21.672[/C][C]22.225831643249[/C][C]-0.553831643248994[/C][/ROW]
[ROW][C]12[/C][C]21.87[/C][C]21.1270828970961[/C][C]0.742917102903913[/C][/ROW]
[ROW][C]13[/C][C]21.439[/C][C]20.9851529597071[/C][C]0.453847040292946[/C][/ROW]
[ROW][C]14[/C][C]21.089[/C][C]20.713753375082[/C][C]0.375246624917981[/C][/ROW]
[ROW][C]15[/C][C]23.709[/C][C]20.4412286596001[/C][C]3.26777134039994[/C][/ROW]
[ROW][C]16[/C][C]21.669[/C][C]22.5209273818803[/C][C]-0.85192738188029[/C][/ROW]
[ROW][C]17[/C][C]21.752[/C][C]21.7649627065185[/C][C]-0.0129627065184863[/C][/ROW]
[ROW][C]18[/C][C]20.761[/C][C]21.5612419540641[/C][C]-0.800241954064106[/C][/ROW]
[ROW][C]19[/C][C]23.479[/C][C]20.7293660311368[/C][C]2.7496339688632[/C][/ROW]
[ROW][C]20[/C][C]23.824[/C][C]22.6136726223878[/C][C]1.21032737761217[/C][/ROW]
[ROW][C]21[/C][C]23.105[/C][C]23.6452993876586[/C][C]-0.540299387658632[/C][/ROW]
[ROW][C]22[/C][C]23.11[/C][C]23.4478134152256[/C][C]-0.337813415225558[/C][/ROW]
[ROW][C]23[/C][C]21.759[/C][C]23.3383239572017[/C][C]-1.57932395720174[/C][/ROW]
[ROW][C]24[/C][C]22.073[/C][C]22.1953107997344[/C][C]-0.122310799734429[/C][/ROW]
[ROW][C]25[/C][C]21.937[/C][C]21.9978640771515[/C][C]-0.0608640771515283[/C][/ROW]
[ROW][C]26[/C][C]20.035[/C][C]21.8327568105106[/C][C]-1.79775681051055[/C][/ROW]
[ROW][C]27[/C][C]23.59[/C][C]20.2774496622111[/C][C]3.31255033778892[/C][/ROW]
[ROW][C]28[/C][C]21.672[/C][C]22.5449054106038[/C][C]-0.872905410603835[/C][/ROW]
[ROW][C]29[/C][C]22.222[/C][C]21.9304373765722[/C][C]0.291562623427755[/C][/ROW]
[ROW][C]30[/C][C]22.123[/C][C]22.1243622880064[/C][C]-0.00136228800644034[/C][/ROW]
[ROW][C]31[/C][C]23.95[/C][C]22.124674193093[/C][C]1.82532580690701[/C][/ROW]
[ROW][C]32[/C][C]23.504[/C][C]23.5782116009096[/C][C]-0.0742116009095852[/C][/ROW]
[ROW][C]33[/C][C]22.238[/C][C]23.7673752283907[/C][C]-1.52937522839075[/C][/ROW]
[ROW][C]34[/C][C]23.142[/C][C]22.7886914238195[/C][C]0.353308576180453[/C][/ROW]
[ROW][C]35[/C][C]21.059[/C][C]23.1010191228925[/C][C]-2.04201912289253[/C][/ROW]
[ROW][C]36[/C][C]21.573[/C][C]21.5553060701573[/C][C]0.0176939298426753[/C][/ROW]
[ROW][C]37[/C][C]21.548[/C][C]21.3720885936315[/C][C]0.175911406368467[/C][/ROW]
[ROW][C]38[/C][C]20[/C][C]21.3171516267447[/C][C]-1.31715162674471[/C][/ROW]
[ROW][C]39[/C][C]22.424[/C][C]20.0980585152961[/C][C]2.32594148470388[/C][/ROW]
[ROW][C]40[/C][C]20.615[/C][C]21.5993694395753[/C][C]-0.98436943957526[/C][/ROW]
[ROW][C]41[/C][C]21.761[/C][C]20.7815625648091[/C][C]0.97943743519087[/C][/ROW]
[ROW][C]42[/C][C]22.874[/C][C]21.3930619212585[/C][C]1.48093807874148[/C][/ROW]
[ROW][C]43[/C][C]24.104[/C][C]22.5361169571671[/C][C]1.56788304283285[/C][/ROW]
[ROW][C]44[/C][C]23.748[/C][C]23.9487471059544[/C][C]-0.20074710595442[/C][/ROW]
[ROW][C]45[/C][C]23.262[/C][C]24.1663236711128[/C][C]-0.904323671112795[/C][/ROW]
[ROW][C]46[/C][C]22.907[/C][C]23.796932807655[/C][C]-0.889932807655011[/C][/ROW]
[ROW][C]47[/C][C]21.519[/C][C]23.316621104406[/C][C]-1.797621104406[/C][/ROW]
[ROW][C]48[/C][C]22.025[/C][C]21.9936808587338[/C][C]0.0313191412661631[/C][/ROW]
[ROW][C]49[/C][C]22.604[/C][C]21.8826924860851[/C][C]0.721307513914937[/C][/ROW]
[ROW][C]50[/C][C]20.894[/C][C]22.32493345841[/C][C]-1.43093345841001[/C][/ROW]
[ROW][C]51[/C][C]24.677[/C][C]21.1523431191904[/C][C]3.52465688080961[/C][/ROW]
[ROW][C]52[/C][C]23.673[/C][C]23.7290524667336[/C][C]-0.056052466733604[/C][/ROW]
[ROW][C]53[/C][C]25.32[/C][C]23.9337080773137[/C][C]1.38629192268633[/C][/ROW]
[ROW][C]54[/C][C]23.583[/C][C]25.2783844245591[/C][C]-1.69538442455908[/C][/ROW]
[ROW][C]55[/C][C]24.671[/C][C]24.3587055669506[/C][C]0.312294433049431[/C][/ROW]
[ROW][C]56[/C][C]24.454[/C][C]24.8070269228112[/C][C]-0.353026922811182[/C][/ROW]
[ROW][C]57[/C][C]24.122[/C][C]24.7682423080814[/C][C]-0.646242308081412[/C][/ROW]
[ROW][C]58[/C][C]24.252[/C][C]24.4483892142491[/C][C]-0.196389214249063[/C][/ROW]
[ROW][C]59[/C][C]22.084[/C][C]24.399015075287[/C][C]-2.31501507528695[/C][/ROW]
[ROW][C]60[/C][C]22.991[/C][C]22.6373750043143[/C][C]0.35362499568572[/C][/ROW]
[ROW][C]61[/C][C]23.287[/C][C]22.6857839356871[/C][C]0.601216064312904[/C][/ROW]
[ROW][C]62[/C][C]23.049[/C][C]22.979041152041[/C][C]0.069958847958965[/C][/ROW]
[ROW][C]63[/C][C]25.076[/C][C]22.9309571335918[/C][C]2.14504286640821[/C][/ROW]
[ROW][C]64[/C][C]24.037[/C][C]24.5433865871555[/C][C]-0.506386587155465[/C][/ROW]
[ROW][C]65[/C][C]24.43[/C][C]24.3364604740724[/C][C]0.0935395259275573[/C][/ROW]
[ROW][C]66[/C][C]24.667[/C][C]24.5383443128147[/C][C]0.128655687185283[/C][/ROW]
[ROW][C]67[/C][C]26.451[/C][C]24.7808259810847[/C][C]1.6701740189153[/C][/ROW]
[ROW][C]68[/C][C]25.618[/C][C]26.2672307070104[/C][C]-0.649230707010435[/C][/ROW]
[ROW][C]69[/C][C]25.014[/C][C]26.134198186919[/C][C]-1.12019818691905[/C][/ROW]
[ROW][C]70[/C][C]25.11[/C][C]25.5385865958361[/C][C]-0.428586595836066[/C][/ROW]
[ROW][C]71[/C][C]22.964[/C][C]25.3416752249488[/C][C]-2.3776752249488[/C][/ROW]
[ROW][C]72[/C][C]23.981[/C][C]23.5359703185633[/C][C]0.445029681436662[/C][/ROW]
[ROW][C]73[/C][C]23.798[/C][C]23.654417535922[/C][C]0.143582464077962[/C][/ROW]
[ROW][C]74[/C][C]22.27[/C][C]23.5932377536632[/C][C]-1.32323775366318[/C][/ROW]
[ROW][C]75[/C][C]24.775[/C][C]22.384407324169[/C][C]2.39059267583096[/C][/ROW]
[ROW][C]76[/C][C]22.646[/C][C]23.9514397284824[/C][C]-1.30543972848235[/C][/ROW]
[ROW][C]77[/C][C]23.988[/C][C]22.9012023335183[/C][C]1.08679766648166[/C][/ROW]
[ROW][C]78[/C][C]24.737[/C][C]23.5777067103015[/C][C]1.15929328969851[/C][/ROW]
[ROW][C]79[/C][C]26.276[/C][C]24.458955375919[/C][C]1.81704462408102[/C][/ROW]
[ROW][C]80[/C][C]25.816[/C][C]26.0204187257454[/C][C]-0.204418725745406[/C][/ROW]
[ROW][C]81[/C][C]25.21[/C][C]26.2193769645512[/C][C]-1.00937696455125[/C][/ROW]
[ROW][C]82[/C][C]25.199[/C][C]25.7502063079399[/C][C]-0.55120630793991[/C][/ROW]
[ROW][C]83[/C][C]23.162[/C][C]25.5089939637899[/C][C]-2.34699396378987[/C][/ROW]
[ROW][C]84[/C][C]24.707[/C][C]23.7643698479715[/C][C]0.942630152028546[/C][/ROW]
[ROW][C]85[/C][C]24.364[/C][C]24.3195552377484[/C][C]0.0444447622516186[/C][/ROW]
[ROW][C]86[/C][C]22.644[/C][C]24.2876512537704[/C][C]-1.64365125377043[/C][/ROW]
[ROW][C]87[/C][C]25.565[/C][C]22.9186227891029[/C][C]2.64637721089707[/C][/ROW]
[ROW][C]88[/C][C]24.062[/C][C]24.7405532390089[/C][C]-0.67855323900891[/C][/ROW]
[ROW][C]89[/C][C]25.431[/C][C]24.2750944368818[/C][C]1.1559055631182[/C][/ROW]
[ROW][C]90[/C][C]24.635[/C][C]25.1774080213587[/C][C]-0.542408021358675[/C][/ROW]
[ROW][C]91[/C][C]27.009[/C][C]24.8848677736342[/C][C]2.12413222636577[/C][/ROW]
[ROW][C]92[/C][C]26.606[/C][C]26.64057085638[/C][C]-0.0345708563799612[/C][/ROW]
[ROW][C]93[/C][C]26.268[/C][C]26.966128003516[/C][C]-0.698128003516029[/C][/ROW]
[ROW][C]94[/C][C]26.462[/C][C]26.7590458747677[/C][C]-0.297045874767711[/C][/ROW]
[ROW][C]95[/C][C]25.246[/C][C]26.7766168852162[/C][C]-1.53061688521619[/C][/ROW]
[ROW][C]96[/C][C]25.18[/C][C]25.7724978768615[/C][C]-0.592497876861504[/C][/ROW]
[ROW][C]97[/C][C]24.657[/C][C]25.3076765497571[/C][C]-0.650676549757069[/C][/ROW]
[ROW][C]98[/C][C]23.304[/C][C]24.7163897546322[/C][C]-1.41238975463215[/C][/ROW]
[ROW][C]99[/C][C]26.982[/C][C]23.4309955350657[/C][C]3.55100446493428[/C][/ROW]
[ROW][C]100[/C][C]26.199[/C][C]25.9036194738066[/C][C]0.295380526193387[/C][/ROW]
[ROW][C]101[/C][C]27.21[/C][C]26.2664101468073[/C][C]0.943589853192744[/C][/ROW]
[ROW][C]102[/C][C]26.122[/C][C]27.1849207138986[/C][C]-1.06292071389856[/C][/ROW]
[ROW][C]103[/C][C]26.706[/C][C]26.6346295306269[/C][C]0.0713704693730755[/C][/ROW]
[ROW][C]104[/C][C]26.878[/C][C]26.8430085629233[/C][C]0.0349914370767195[/C][/ROW]
[ROW][C]105[/C][C]26.152[/C][C]27.0321001951219[/C][C]-0.880100195121909[/C][/ROW]
[ROW][C]106[/C][C]26.379[/C][C]26.4978313938928[/C][C]-0.118831393892794[/C][/ROW]
[ROW][C]107[/C][C]24.712[/C][C]26.4501752815295[/C][C]-1.73817528152945[/C][/ROW]
[ROW][C]108[/C][C]25.688[/C][C]25.0980033757521[/C][C]0.589996624247934[/C][/ROW]
[ROW][C]109[/C][C]24.99[/C][C]25.3630425763476[/C][C]-0.373042576347583[/C][/ROW]
[ROW][C]110[/C][C]24.239[/C][C]24.9416737268806[/C][C]-0.70267372688059[/C][/ROW]
[ROW][C]111[/C][C]26.721[/C][C]24.2075536141722[/C][C]2.51344638582782[/C][/ROW]
[ROW][C]112[/C][C]23.475[/C][C]25.937264912639[/C][C]-2.46226491263898[/C][/ROW]
[ROW][C]113[/C][C]24.767[/C][C]24.048150351511[/C][C]0.718849648488966[/C][/ROW]
[ROW][C]114[/C][C]26.219[/C][C]24.3569111479805[/C][C]1.86208885201953[/C][/ROW]
[ROW][C]115[/C][C]28.361[/C][C]25.6725666954239[/C][C]2.68843330457612[/C][/ROW]
[ROW][C]116[/C][C]28.599[/C][C]27.8976792045656[/C][C]0.70132079543442[/C][/ROW]
[ROW][C]117[/C][C]27.914[/C][C]28.9055322388762[/C][C]-0.991532238876164[/C][/ROW]
[ROW][C]118[/C][C]27.784[/C][C]28.661362791854[/C][C]-0.877362791854043[/C][/ROW]
[ROW][C]119[/C][C]25.693[/C][C]28.3738607730715[/C][C]-2.68086077307152[/C][/ROW]
[ROW][C]120[/C][C]26.881[/C][C]26.5326775032871[/C][C]0.348322496712896[/C][/ROW]
[ROW][C]121[/C][C]26.217[/C][C]26.7389051220778[/C][C]-0.521905122077811[/C][/ROW]
[ROW][C]122[/C][C]24.218[/C][C]26.2998677232028[/C][C]-2.08186772320277[/C][/ROW]
[ROW][C]123[/C][C]27.914[/C][C]24.5490184307885[/C][C]3.36498156921155[/C][/ROW]
[ROW][C]124[/C][C]26.975[/C][C]26.8502575711528[/C][C]0.124742428847195[/C][/ROW]
[ROW][C]125[/C][C]28.527[/C][C]27.028732221536[/C][C]1.49826777846395[/C][/ROW]
[ROW][C]126[/C][C]27.139[/C][C]28.3169362780652[/C][C]-1.17793627806516[/C][/ROW]
[ROW][C]127[/C][C]28.982[/C][C]27.678552682231[/C][C]1.30344731776899[/C][/ROW]
[ROW][C]128[/C][C]28.169[/C][C]28.855093769407[/C][C]-0.686093769407005[/C][/ROW]
[ROW][C]129[/C][C]28.056[/C][C]28.6250299977794[/C][C]-0.56902999777936[/C][/ROW]
[ROW][C]130[/C][C]29.136[/C][C]28.3952677548492[/C][C]0.740732245150763[/C][/ROW]
[ROW][C]131[/C][C]26.291[/C][C]29.1306219423596[/C][C]-2.83962194235958[/C][/ROW]
[ROW][C]132[/C][C]26.987[/C][C]27.1174907781151[/C][C]-0.130490778115142[/C][/ROW]
[ROW][C]133[/C][C]26.589[/C][C]26.8756368960123[/C][C]-0.286636896012318[/C][/ROW]
[ROW][C]134[/C][C]24.848[/C][C]26.4918871801118[/C][C]-1.64388718011182[/C][/ROW]
[ROW][C]135[/C][C]27.543[/C][C]24.9894501803029[/C][C]2.55354981969712[/C][/ROW]
[ROW][C]136[/C][C]26.896[/C][C]26.6042694942084[/C][C]0.29173050579158[/C][/ROW]
[ROW][C]137[/C][C]28.878[/C][C]26.7650059236424[/C][C]2.1129940763576[/C][/ROW]
[ROW][C]138[/C][C]27.39[/C][C]28.4143124511391[/C][C]-1.02431245113907[/C][/ROW]
[ROW][C]139[/C][C]28.065[/C][C]27.8533370977408[/C][C]0.211662902259246[/C][/ROW]
[ROW][C]140[/C][C]28.141[/C][C]28.1371616541111[/C][C]0.0038383458888589[/C][/ROW]
[ROW][C]141[/C][C]29.048[/C][C]28.2842717118731[/C][C]0.763728288126945[/C][/ROW]
[ROW][C]142[/C][C]28.484[/C][C]29.0365098702151[/C][C]-0.552509870215065[/C][/ROW]
[ROW][C]143[/C][C]26.634[/C][C]28.8448251359239[/C][C]-2.2108251359239[/C][/ROW]
[ROW][C]144[/C][C]27.735[/C][C]27.2589325532002[/C][C]0.476067446799821[/C][/ROW]
[ROW][C]145[/C][C]27.132[/C][C]27.5117103783438[/C][C]-0.379710378343777[/C][/ROW]
[ROW][C]146[/C][C]24.924[/C][C]27.1480063565142[/C][C]-2.2240063565142[/C][/ROW]
[ROW][C]147[/C][C]28.963[/C][C]25.2655012011663[/C][C]3.69749879883373[/C][/ROW]
[ROW][C]148[/C][C]26.589[/C][C]27.7935119662539[/C][C]-1.20451196625391[/C][/ROW]
[ROW][C]149[/C][C]27.931[/C][C]26.9215601367825[/C][C]1.00943986321746[/C][/ROW]
[ROW][C]150[/C][C]28.009[/C][C]27.6481539455745[/C][C]0.360846054425483[/C][/ROW]
[ROW][C]151[/C][C]29.229[/C][C]27.9952872028236[/C][C]1.23371279717644[/C][/ROW]
[ROW][C]152[/C][C]28.759[/C][C]29.0857483415485[/C][C]-0.326748341548516[/C][/ROW]
[ROW][C]153[/C][C]28.405[/C][C]29.1015670524301[/C][C]-0.696567052430147[/C][/ROW]
[ROW][C]154[/C][C]27.945[/C][C]28.7789235755717[/C][C]-0.833923575571667[/C][/ROW]
[ROW][C]155[/C][C]25.912[/C][C]28.2527341389109[/C][C]-2.3407341389109[/C][/ROW]
[ROW][C]156[/C][C]26.619[/C][C]26.4148017759479[/C][C]0.204198224052067[/C][/ROW]
[ROW][C]157[/C][C]26.076[/C][C]26.2850097637772[/C][C]-0.209009763777161[/C][/ROW]
[ROW][C]158[/C][C]25.286[/C][C]25.854079208805[/C][C]-0.568079208805045[/C][/ROW]
[ROW][C]159[/C][C]27.66[/C][C]25.1091712617818[/C][C]2.55082873821817[/C][/ROW]
[ROW][C]160[/C][C]25.951[/C][C]26.7689605924133[/C][C]-0.817960592413257[/C][/ROW]
[ROW][C]161[/C][C]26.398[/C][C]26.0935348246031[/C][C]0.304465175396924[/C][/ROW]
[ROW][C]162[/C][C]25.565[/C][C]26.2004859522873[/C][C]-0.6354859522873[/C][/ROW]
[ROW][C]163[/C][C]28.865[/C][C]25.6007616733944[/C][C]3.26423832660561[/C][/ROW]
[ROW][C]164[/C][C]30[/C][C]28.0178721976255[/C][C]1.98212780237454[/C][/ROW]
[ROW][C]165[/C][C]29.261[/C][C]29.856576778957[/C][C]-0.595576778957042[/C][/ROW]
[ROW][C]166[/C][C]29.012[/C][C]29.9125399215708[/C][C]-0.90053992157075[/C][/ROW]
[ROW][C]167[/C][C]26.992[/C][C]29.6452661651048[/C][C]-2.65326616510479[/C][/ROW]
[ROW][C]168[/C][C]27.897[/C][C]27.8615715673062[/C][C]0.0354284326937844[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76776&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76776&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
326.93120.5336.398
424.7422.55858782951392.18141217048609
525.80622.09499740655993.71100259344012
624.36423.14361379216591.22038620783408
724.47722.71272803316661.76427196683342
823.90122.87972642429211.02127357570793
923.17522.69429309820630.480706901793653
1023.22722.21695264385351.01004735614654
1121.67222.225831643249-0.553831643248994
1221.8721.12708289709610.742917102903913
1321.43920.98515295970710.453847040292946
1421.08920.7137533750820.375246624917981
1523.70920.44122865960013.26777134039994
1621.66922.5209273818803-0.85192738188029
1721.75221.7649627065185-0.0129627065184863
1820.76121.5612419540641-0.800241954064106
1923.47920.72936603113682.7496339688632
2023.82422.61367262238781.21032737761217
2123.10523.6452993876586-0.540299387658632
2223.1123.4478134152256-0.337813415225558
2321.75923.3383239572017-1.57932395720174
2422.07322.1953107997344-0.122310799734429
2521.93721.9978640771515-0.0608640771515283
2620.03521.8327568105106-1.79775681051055
2723.5920.27744966221113.31255033778892
2821.67222.5449054106038-0.872905410603835
2922.22221.93043737657220.291562623427755
3022.12322.1243622880064-0.00136228800644034
3123.9522.1246741930931.82532580690701
3223.50423.5782116009096-0.0742116009095852
3322.23823.7673752283907-1.52937522839075
3423.14222.78869142381950.353308576180453
3521.05923.1010191228925-2.04201912289253
3621.57321.55530607015730.0176939298426753
3721.54821.37208859363150.175911406368467
382021.3171516267447-1.31715162674471
3922.42420.09805851529612.32594148470388
4020.61521.5993694395753-0.98436943957526
4121.76120.78156256480910.97943743519087
4222.87421.39306192125851.48093807874148
4324.10422.53611695716711.56788304283285
4423.74823.9487471059544-0.20074710595442
4523.26224.1663236711128-0.904323671112795
4622.90723.796932807655-0.889932807655011
4721.51923.316621104406-1.797621104406
4822.02521.99368085873380.0313191412661631
4922.60421.88269248608510.721307513914937
5020.89422.32493345841-1.43093345841001
5124.67721.15234311919043.52465688080961
5223.67323.7290524667336-0.056052466733604
5325.3223.93370807731371.38629192268633
5423.58325.2783844245591-1.69538442455908
5524.67124.35870556695060.312294433049431
5624.45424.8070269228112-0.353026922811182
5724.12224.7682423080814-0.646242308081412
5824.25224.4483892142491-0.196389214249063
5922.08424.399015075287-2.31501507528695
6022.99122.63737500431430.35362499568572
6123.28722.68578393568710.601216064312904
6223.04922.9790411520410.069958847958965
6325.07622.93095713359182.14504286640821
6424.03724.5433865871555-0.506386587155465
6524.4324.33646047407240.0935395259275573
6624.66724.53834431281470.128655687185283
6726.45124.78082598108471.6701740189153
6825.61826.2672307070104-0.649230707010435
6925.01426.134198186919-1.12019818691905
7025.1125.5385865958361-0.428586595836066
7122.96425.3416752249488-2.3776752249488
7223.98123.53597031856330.445029681436662
7323.79823.6544175359220.143582464077962
7422.2723.5932377536632-1.32323775366318
7524.77522.3844073241692.39059267583096
7622.64623.9514397284824-1.30543972848235
7723.98822.90120233351831.08679766648166
7824.73723.57770671030151.15929328969851
7926.27624.4589553759191.81704462408102
8025.81626.0204187257454-0.204418725745406
8125.2126.2193769645512-1.00937696455125
8225.19925.7502063079399-0.55120630793991
8323.16225.5089939637899-2.34699396378987
8424.70723.76436984797150.942630152028546
8524.36424.31955523774840.0444447622516186
8622.64424.2876512537704-1.64365125377043
8725.56522.91862278910292.64637721089707
8824.06224.7405532390089-0.67855323900891
8925.43124.27509443688181.1559055631182
9024.63525.1774080213587-0.542408021358675
9127.00924.88486777363422.12413222636577
9226.60626.64057085638-0.0345708563799612
9326.26826.966128003516-0.698128003516029
9426.46226.7590458747677-0.297045874767711
9525.24626.7766168852162-1.53061688521619
9625.1825.7724978768615-0.592497876861504
9724.65725.3076765497571-0.650676549757069
9823.30424.7163897546322-1.41238975463215
9926.98223.43099553506573.55100446493428
10026.19925.90361947380660.295380526193387
10127.2126.26641014680730.943589853192744
10226.12227.1849207138986-1.06292071389856
10326.70626.63462953062690.0713704693730755
10426.87826.84300856292330.0349914370767195
10526.15227.0321001951219-0.880100195121909
10626.37926.4978313938928-0.118831393892794
10724.71226.4501752815295-1.73817528152945
10825.68825.09800337575210.589996624247934
10924.9925.3630425763476-0.373042576347583
11024.23924.9416737268806-0.70267372688059
11126.72124.20755361417222.51344638582782
11223.47525.937264912639-2.46226491263898
11324.76724.0481503515110.718849648488966
11426.21924.35691114798051.86208885201953
11528.36125.67256669542392.68843330457612
11628.59927.89767920456560.70132079543442
11727.91428.9055322388762-0.991532238876164
11827.78428.661362791854-0.877362791854043
11925.69328.3738607730715-2.68086077307152
12026.88126.53267750328710.348322496712896
12126.21726.7389051220778-0.521905122077811
12224.21826.2998677232028-2.08186772320277
12327.91424.54901843078853.36498156921155
12426.97526.85025757115280.124742428847195
12528.52727.0287322215361.49826777846395
12627.13928.3169362780652-1.17793627806516
12728.98227.6785526822311.30344731776899
12828.16928.855093769407-0.686093769407005
12928.05628.6250299977794-0.56902999777936
13029.13628.39526775484920.740732245150763
13126.29129.1306219423596-2.83962194235958
13226.98727.1174907781151-0.130490778115142
13326.58926.8756368960123-0.286636896012318
13424.84826.4918871801118-1.64388718011182
13527.54324.98945018030292.55354981969712
13626.89626.60426949420840.29173050579158
13728.87826.76500592364242.1129940763576
13827.3928.4143124511391-1.02431245113907
13928.06527.85333709774080.211662902259246
14028.14128.13716165411110.0038383458888589
14129.04828.28427171187310.763728288126945
14228.48429.0365098702151-0.552509870215065
14326.63428.8448251359239-2.2108251359239
14427.73527.25893255320020.476067446799821
14527.13227.5117103783438-0.379710378343777
14624.92427.1480063565142-2.2240063565142
14728.96325.26550120116633.69749879883373
14826.58927.7935119662539-1.20451196625391
14927.93126.92156013678251.00943986321746
15028.00927.64815394557450.360846054425483
15129.22927.99528720282361.23371279717644
15228.75929.0857483415485-0.326748341548516
15328.40529.1015670524301-0.696567052430147
15427.94528.7789235755717-0.833923575571667
15525.91228.2527341389109-2.3407341389109
15626.61926.41480177594790.204198224052067
15726.07626.2850097637772-0.209009763777161
15825.28625.854079208805-0.568079208805045
15927.6625.10917126178182.55082873821817
16025.95126.7689605924133-0.817960592413257
16126.39826.09353482460310.304465175396924
16225.56526.2004859522873-0.6354859522873
16328.86525.60076167339443.26423832660561
1643028.01787219762551.98212780237454
16529.26129.856576778957-0.595576778957042
16629.01229.9125399215708-0.90053992157075
16726.99229.6452661651048-2.65326616510479
16827.89727.86157156730620.0354284326937844







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
16927.858111066275124.870079915581730.8461422169685
17027.83125591985524.012809677390831.6497021623193
17127.804400773434923.080125977566832.528675569303
17227.777545627014822.079298255849533.4757929981801
17327.750690480594621.015614014839934.4857669463494
17427.723835334174519.893162370679635.5545082976695
17527.696980187754418.715246150690336.6787142248185
17627.670125041334317.484618290159937.8556317925087
17727.643269894914216.203627659126239.0829121307021
17827.61641474849414.874314550685640.3585149463025
17927.589559602073913.498476332596741.6806428715512
18027.562704455653812.077714424126543.0476944871811

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
169 & 27.8581110662751 & 24.8700799155817 & 30.8461422169685 \tabularnewline
170 & 27.831255919855 & 24.0128096773908 & 31.6497021623193 \tabularnewline
171 & 27.8044007734349 & 23.0801259775668 & 32.528675569303 \tabularnewline
172 & 27.7775456270148 & 22.0792982558495 & 33.4757929981801 \tabularnewline
173 & 27.7506904805946 & 21.0156140148399 & 34.4857669463494 \tabularnewline
174 & 27.7238353341745 & 19.8931623706796 & 35.5545082976695 \tabularnewline
175 & 27.6969801877544 & 18.7152461506903 & 36.6787142248185 \tabularnewline
176 & 27.6701250413343 & 17.4846182901599 & 37.8556317925087 \tabularnewline
177 & 27.6432698949142 & 16.2036276591262 & 39.0829121307021 \tabularnewline
178 & 27.616414748494 & 14.8743145506856 & 40.3585149463025 \tabularnewline
179 & 27.5895596020739 & 13.4984763325967 & 41.6806428715512 \tabularnewline
180 & 27.5627044556538 & 12.0777144241265 & 43.0476944871811 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76776&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]27.8581110662751[/C][C]24.8700799155817[/C][C]30.8461422169685[/C][/ROW]
[ROW][C]170[/C][C]27.831255919855[/C][C]24.0128096773908[/C][C]31.6497021623193[/C][/ROW]
[ROW][C]171[/C][C]27.8044007734349[/C][C]23.0801259775668[/C][C]32.528675569303[/C][/ROW]
[ROW][C]172[/C][C]27.7775456270148[/C][C]22.0792982558495[/C][C]33.4757929981801[/C][/ROW]
[ROW][C]173[/C][C]27.7506904805946[/C][C]21.0156140148399[/C][C]34.4857669463494[/C][/ROW]
[ROW][C]174[/C][C]27.7238353341745[/C][C]19.8931623706796[/C][C]35.5545082976695[/C][/ROW]
[ROW][C]175[/C][C]27.6969801877544[/C][C]18.7152461506903[/C][C]36.6787142248185[/C][/ROW]
[ROW][C]176[/C][C]27.6701250413343[/C][C]17.4846182901599[/C][C]37.8556317925087[/C][/ROW]
[ROW][C]177[/C][C]27.6432698949142[/C][C]16.2036276591262[/C][C]39.0829121307021[/C][/ROW]
[ROW][C]178[/C][C]27.616414748494[/C][C]14.8743145506856[/C][C]40.3585149463025[/C][/ROW]
[ROW][C]179[/C][C]27.5895596020739[/C][C]13.4984763325967[/C][C]41.6806428715512[/C][/ROW]
[ROW][C]180[/C][C]27.5627044556538[/C][C]12.0777144241265[/C][C]43.0476944871811[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76776&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76776&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
16927.858111066275124.870079915581730.8461422169685
17027.83125591985524.012809677390831.6497021623193
17127.804400773434923.080125977566832.528675569303
17227.777545627014822.079298255849533.4757929981801
17327.750690480594621.015614014839934.4857669463494
17427.723835334174519.893162370679635.5545082976695
17527.696980187754418.715246150690336.6787142248185
17627.670125041334317.484618290159937.8556317925087
17727.643269894914216.203627659126239.0829121307021
17827.61641474849414.874314550685640.3585149463025
17927.589559602073913.498476332596741.6806428715512
18027.562704455653812.077714424126543.0476944871811



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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')