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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 01 Feb 2018 10:39:03 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Feb/01/t15174779784ln688g64vvcz18.htm/, Retrieved Sun, 28 Apr 2024 23:01:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=314265, Retrieved Sun, 28 Apr 2024 23:01:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact38
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-02-01 09:39:03] [a87c6dabdeeed1aa76e7d094782aaef2] [Current]
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Dataseries X:
97.7
88.9
96.5
89.5
85.4
84.3
83.7
86.2
90.7
95.7
95.6
97
97.2
86.6
88.4
81.4
86.9
84.9
83.7
86.8
88.3
92.5
94.7
94.5
98.7
88.6
95.2
91.3
91.7
89.3
88.7
91.2
88.6
94.6
96
94.3
102
93.4
96.7
93.7
91.6
89.6
92.9
94.1
92
97.5
92.7
100.7
105.9
95.3
99.8
91.3
90.8
87.1
91.4
86.1
87.1
92.6
96.6
105.3
102.4
98.2
98.6
92.6
87.9
84.1
86.7
84.4
86
90.4
92.9
105.8
106
99.1
99.9
88.1
87.8
87.1
85.9
86.5
84.1
92.1
93.3
98.9
103
98.4
100.7
92.3
89
88.9
85.5
90.1
87
97.1
101.5
103
106.1
96.1
94.2
89.1
85.2
86.5
88
88.4
87.9
95.7
94.8
105.2
108.7
96.1
98.3
88.6
90.8
88.1
91.9
98.5
98.6
100.3
98.7
110.7
115.4
105.4
108
94.5
96.5
91
94.1
96.4
93.1
97.5
102.5
105.7
109.1
97.2
100.3
91.3
94.3
89.5
89.3
93.4
91.9
92.9
93.7
100.1
105.5
110.5
89.5
90.4
89.9
84.6
86.2
83.4
82.9
81.8
87.6
94.6
99.6
96.7
99.8
83.8
82.4
86.8
91
85.3
83.6
94
100.3
107.1
100.7
95.5
92.9
79.2
82
79.3
81.5
76
73.1
80.4
82.1
90.5
98.1
89.5
86.5
77
74.7
73.4
72.5
69.3
75.2
83.5
90.5
92.2
110.5
101.8
107.4
95.5
84.5
81.1
86.2
91.5
84.7
92.2
99.2
104.5
113
100.4
101
84.8
86.5
91.7
94.8
95




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314265&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=314265&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314265&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.92520928828322
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.92520928828322 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314265&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]0.92520928828322[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314265&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314265&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
alpha0.92520928828322
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
288.997.7-8.8
396.589.55815826310776.94184173689234
489.595.9808147158726-6.48081471587258
585.489.9847047451047-4.58470474510469
684.385.7428933308977-1.44289333089769
783.784.4079150191492-0.70791501914924
886.283.75294546811722.44705453188283
990.786.01698304995074.68301695004929
1095.790.34975382932415.35024617067593
1195.695.29985128103520.30014871896482
129795.57755166368771.42244833631226
1397.296.89361407654690.306385923453149
1486.697.1770851787249-10.5770851787249
1588.487.39106772840581.00893227159416
1681.488.3245412373334-6.92454123733344
1786.981.91789136745244.98210863254764
1884.986.5273845495214-1.62738454952144
1983.785.0217132486956-1.3217132486956
2086.883.79885187455553.00114812544454
2188.386.57554199573051.72445800426948
2292.588.1710265585354.32897344146501
2394.792.17623299530982.52376700469021
2494.594.5112456695119-0.0112456695118937
2598.794.50084107162654.19915892837348
2688.698.3859419151351-9.78594191513508
2795.289.3318975606525.86810243934798
2891.394.7611204421342-3.46112044213419
2991.791.55885966120470.141140338795296
3089.391.6894440136096-2.38944401360956
3188.789.4787082183853-0.778708218385248
3291.288.75824014187272.44175985812727
3388.691.0173790423692-2.41737904236921
3494.688.7807974990685.81920250093197
359694.16477770333121.83522229666877
3694.395.8627424182736-1.56274241827363
3710294.41687861769277.58312138230733
3893.4101.432852954782-8.03285295478248
3996.794.00078278960442.69921721039557
4093.796.4981236237563-2.79812362375634
4191.693.9092736572923-2.30927365729229
4289.691.7727122203777-2.1727122203777
4392.989.76249869331783.13750130668222
4494.192.66534404426091.43465595573909
459293.9927010600016-1.99270106000155
4697.592.14903553051635.3509644694837
4792.797.0997975589561-4.39979755895611
48100.793.02906399084417.67093600915592
49105.9100.1262852363415.77371476365865
5095.3105.468179763576-10.1681797635763
5199.896.0604854013823.73951459861797
5291.399.5203190416941-8.22031904169407
5390.891.9148035116673-1.1148035116673
5487.190.883376948062-3.78337694806197
5591.487.38296145463844.0170385453616
5686.191.0995628281987-4.99956282819868
5787.186.47392086219370.626079137806272
5892.687.05317509569245.54682490430756
5996.692.18514901763854.41485098236153
60105.396.26981015290569.03018984709435
61102.4104.624625674398-2.22462567439817
6298.2102.566381337492-4.36638133749166
6398.698.52656476785790.073435232142117
6492.698.594507726723-5.994507726723
6587.993.0483334992733-5.14833349927333
6684.188.285047526566-4.18504752656601
6786.784.41300268308042.2869973169196
6884.486.5289538429732-2.12895384297322
698684.55922597312821.44077402687185
7090.485.89224348510724.5077565148928
7192.990.06286168200522.83713831799479
72105.892.687808405958213.1121915940418
73106104.8193298585151.18067014148517
7499.1105.911696839816-6.81169683981557
7599.999.60945165464880.290548345351255
7688.199.8782696824631-11.7782696824631
7787.888.9809051723436-1.18090517234357
7887.187.8883207383096-0.788320738309608
7985.987.1589590690793-1.25895906907927
8086.585.99415844479870.505841555201258
8184.186.4621677500706-2.36216775007058
8292.184.27666820722227.82333179277781
8393.391.51488744722161.78511255277837
8498.993.16649016168315.73350983831686
8510398.47118671855714.52881328144288
8698.4102.661286831448-4.26128683144847
87100.798.71870467495341.98129532504662
8892.3100.551817512519-8.25181751251864
898992.9171593047183-3.91715930471827
9088.989.2929671323079-0.392967132307874
9185.588.9293902915066-3.42939029150661
9290.185.75648654065644.34351345934361
938789.7751455370243-2.77514553702427
9497.187.20755510983179.89244489016831
95101.596.36013700604535.13986299395471
96103101.1155859885551.88441401144462
97106.1102.8590633349153.240936665085
9896.1105.857608040189-9.75760804018928
9994.296.8297784499791-2.62977844997913
10089.194.3966830019314-5.2966830019314
10185.289.4961426914526-4.29614269145262
10286.585.52131156953060.978688430469418
1038886.42680319573621.57319680426379
10488.487.88233949133860.51766050866145
10587.988.3612838021295-0.461283802129543
10695.787.93449974386477.76550025613531
10794.895.1192127090068-0.31921270900682
108105.294.823874145695710.3761258543043
109108.7104.4239621624944.27603783750631
11096.1108.380192086805-12.280192086805
11198.397.01844430619091.28155569380908
11288.698.2041515375553-9.60415153755532
11390.889.31830132892961.48169867107042
11488.190.6891827018408-2.58918270184084
11591.988.29364681703543.60635318296457
11698.591.6302782787446.86972172125598
11798.697.98620862317110.613791376828942
118100.398.55409410608131.74590589391867
11998.7100.169422455603-1.46942245560329
120110.798.809899151267211.8901008487328
121115.4109.8107308951395.58926910486102
122105.4114.981974585671-9.58197458567084
123108106.1166426989141.88335730108558
12494.5107.859142367035-13.3591423670348
12596.595.49913976555631.00086023444368
1269196.4251449507369-5.42514495073694
12794.191.40575045203232.69424954796769
12896.493.89849515876492.50150484123513
12993.196.2129106725611-3.11291067256107
13097.593.33281680471164.1671831952884
131102.597.18833340297025.31166659702983
132105.7102.1027366748063.59726332519411
133109.1105.4309581156763.66904188432393
13497.2108.825589746153-11.6255897461527
135100.398.06948613124212.23051386875794
13691.3100.133178280261-8.83317828026144
13794.391.96063969030192.33936030969805
13889.594.1250375774757-4.62503757747568
13989.389.8459098521363-0.545909852136262
14093.489.34082898637454.05917101362553
14191.993.0964117109108-1.19641171091082
14292.991.98948048336530.910519516634693
14393.792.83190159731890.868098402681127
144100.193.63507430262336.46492569737671
145105.599.61648360589715.88351639410291
146110.5105.0599676214885.4400323785123
14789.5110.093136106649-20.5931361066487
14890.491.0401753058968-0.640175305896776
14989.990.4478791667515-0.547879166751528
15084.689.9409762728161-5.34097627281615
15186.284.99945541670641.20054458329365
15283.486.1102104161677-2.71021041616774
15382.983.6026985659274-0.70269856592742
15481.882.9525553258681-1.15255532586809
15587.681.88620043311465.71379956688537
15694.687.17266086378567.42733913621439
15799.694.04450401984065.55549598015938
15896.799.1845005017042-2.48450050170416
15999.896.88581756078322.91418243921684
16083.899.5820462212984-15.7820462212984
16182.484.980350469238-2.58035046923801
16286.882.5929862480734.20701375192695
1639186.48535444729114.5146455527089
16485.390.6623464459639-5.36234644596391
16583.685.7010537071656-2.10105370716559
1669483.757139302114110.2428606978859
167100.393.23392915838937.06607084161071
168107.199.77152353271477.32847646728526
169100.7106.551898029212-5.85189802921207
17095.5101.137667618499-5.6376676184988
17192.995.9216451736102-3.02164517361015
17279.293.1259909930899-13.9259909930899
1738280.24153477773471.75846522226533
17479.381.8684831344976-2.56848313449758
17581.579.49209868166162.00790131833838
1767681.3498276313444-5.34982763134441
17773.176.4001174161103-3.30011741611035
17880.473.34681813029987.05318186970018
17982.179.87248750809722.22751249190276
18090.581.93340275537268.56659724462743
18198.189.85929809508338.24070190491669
18289.597.4836720394854-7.98367203948544
18386.590.0971045139465-3.59710451394646
1847786.7690300067177-9.7690300067177
18574.777.730632706985-3.03063270698499
18673.474.9266631771076-1.52666317710755
18772.573.5141802255677-1.01418022556769
18869.372.5758512608793-3.27585126087929
18975.269.54500324727955.65499675272054
19083.574.7770587681088.72294123189204
19190.582.84760501700317.65239498299685
19292.289.92767193288382.27232806711625
193110.592.030050966606418.4699490333936
194101.8109.11861936642-7.31861936641984
195107.4102.3473647511995.05263524880127
19695.5107.022109813697-11.5221098136969
19784.596.3617467934453-11.8617467934453
19881.185.387148484886-4.28714848488602
19986.281.42063888642014.77936111357987
20091.585.84254818076395.65745181923614
20184.791.0768751519359-6.37687515193593
20292.285.17693103114237.02306896885766
20399.291.67473967338317.5252603266169
204104.598.63718042431835.86281957568173
205113104.0615155512688.9384844487323
206100.4112.33148438641-11.9314843864099
207101101.292364209097-0.292364209097258
20884.8101.021866127279-16.2218661272789
20986.586.01324491303350.486755086966483
21091.786.4635952406145.23640475938599
21194.891.30836556120843.49163443879161
2129594.5388581752680.461141824732039

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 88.9 & 97.7 & -8.8 \tabularnewline
3 & 96.5 & 89.5581582631077 & 6.94184173689234 \tabularnewline
4 & 89.5 & 95.9808147158726 & -6.48081471587258 \tabularnewline
5 & 85.4 & 89.9847047451047 & -4.58470474510469 \tabularnewline
6 & 84.3 & 85.7428933308977 & -1.44289333089769 \tabularnewline
7 & 83.7 & 84.4079150191492 & -0.70791501914924 \tabularnewline
8 & 86.2 & 83.7529454681172 & 2.44705453188283 \tabularnewline
9 & 90.7 & 86.0169830499507 & 4.68301695004929 \tabularnewline
10 & 95.7 & 90.3497538293241 & 5.35024617067593 \tabularnewline
11 & 95.6 & 95.2998512810352 & 0.30014871896482 \tabularnewline
12 & 97 & 95.5775516636877 & 1.42244833631226 \tabularnewline
13 & 97.2 & 96.8936140765469 & 0.306385923453149 \tabularnewline
14 & 86.6 & 97.1770851787249 & -10.5770851787249 \tabularnewline
15 & 88.4 & 87.3910677284058 & 1.00893227159416 \tabularnewline
16 & 81.4 & 88.3245412373334 & -6.92454123733344 \tabularnewline
17 & 86.9 & 81.9178913674524 & 4.98210863254764 \tabularnewline
18 & 84.9 & 86.5273845495214 & -1.62738454952144 \tabularnewline
19 & 83.7 & 85.0217132486956 & -1.3217132486956 \tabularnewline
20 & 86.8 & 83.7988518745555 & 3.00114812544454 \tabularnewline
21 & 88.3 & 86.5755419957305 & 1.72445800426948 \tabularnewline
22 & 92.5 & 88.171026558535 & 4.32897344146501 \tabularnewline
23 & 94.7 & 92.1762329953098 & 2.52376700469021 \tabularnewline
24 & 94.5 & 94.5112456695119 & -0.0112456695118937 \tabularnewline
25 & 98.7 & 94.5008410716265 & 4.19915892837348 \tabularnewline
26 & 88.6 & 98.3859419151351 & -9.78594191513508 \tabularnewline
27 & 95.2 & 89.331897560652 & 5.86810243934798 \tabularnewline
28 & 91.3 & 94.7611204421342 & -3.46112044213419 \tabularnewline
29 & 91.7 & 91.5588596612047 & 0.141140338795296 \tabularnewline
30 & 89.3 & 91.6894440136096 & -2.38944401360956 \tabularnewline
31 & 88.7 & 89.4787082183853 & -0.778708218385248 \tabularnewline
32 & 91.2 & 88.7582401418727 & 2.44175985812727 \tabularnewline
33 & 88.6 & 91.0173790423692 & -2.41737904236921 \tabularnewline
34 & 94.6 & 88.780797499068 & 5.81920250093197 \tabularnewline
35 & 96 & 94.1647777033312 & 1.83522229666877 \tabularnewline
36 & 94.3 & 95.8627424182736 & -1.56274241827363 \tabularnewline
37 & 102 & 94.4168786176927 & 7.58312138230733 \tabularnewline
38 & 93.4 & 101.432852954782 & -8.03285295478248 \tabularnewline
39 & 96.7 & 94.0007827896044 & 2.69921721039557 \tabularnewline
40 & 93.7 & 96.4981236237563 & -2.79812362375634 \tabularnewline
41 & 91.6 & 93.9092736572923 & -2.30927365729229 \tabularnewline
42 & 89.6 & 91.7727122203777 & -2.1727122203777 \tabularnewline
43 & 92.9 & 89.7624986933178 & 3.13750130668222 \tabularnewline
44 & 94.1 & 92.6653440442609 & 1.43465595573909 \tabularnewline
45 & 92 & 93.9927010600016 & -1.99270106000155 \tabularnewline
46 & 97.5 & 92.1490355305163 & 5.3509644694837 \tabularnewline
47 & 92.7 & 97.0997975589561 & -4.39979755895611 \tabularnewline
48 & 100.7 & 93.0290639908441 & 7.67093600915592 \tabularnewline
49 & 105.9 & 100.126285236341 & 5.77371476365865 \tabularnewline
50 & 95.3 & 105.468179763576 & -10.1681797635763 \tabularnewline
51 & 99.8 & 96.060485401382 & 3.73951459861797 \tabularnewline
52 & 91.3 & 99.5203190416941 & -8.22031904169407 \tabularnewline
53 & 90.8 & 91.9148035116673 & -1.1148035116673 \tabularnewline
54 & 87.1 & 90.883376948062 & -3.78337694806197 \tabularnewline
55 & 91.4 & 87.3829614546384 & 4.0170385453616 \tabularnewline
56 & 86.1 & 91.0995628281987 & -4.99956282819868 \tabularnewline
57 & 87.1 & 86.4739208621937 & 0.626079137806272 \tabularnewline
58 & 92.6 & 87.0531750956924 & 5.54682490430756 \tabularnewline
59 & 96.6 & 92.1851490176385 & 4.41485098236153 \tabularnewline
60 & 105.3 & 96.2698101529056 & 9.03018984709435 \tabularnewline
61 & 102.4 & 104.624625674398 & -2.22462567439817 \tabularnewline
62 & 98.2 & 102.566381337492 & -4.36638133749166 \tabularnewline
63 & 98.6 & 98.5265647678579 & 0.073435232142117 \tabularnewline
64 & 92.6 & 98.594507726723 & -5.994507726723 \tabularnewline
65 & 87.9 & 93.0483334992733 & -5.14833349927333 \tabularnewline
66 & 84.1 & 88.285047526566 & -4.18504752656601 \tabularnewline
67 & 86.7 & 84.4130026830804 & 2.2869973169196 \tabularnewline
68 & 84.4 & 86.5289538429732 & -2.12895384297322 \tabularnewline
69 & 86 & 84.5592259731282 & 1.44077402687185 \tabularnewline
70 & 90.4 & 85.8922434851072 & 4.5077565148928 \tabularnewline
71 & 92.9 & 90.0628616820052 & 2.83713831799479 \tabularnewline
72 & 105.8 & 92.6878084059582 & 13.1121915940418 \tabularnewline
73 & 106 & 104.819329858515 & 1.18067014148517 \tabularnewline
74 & 99.1 & 105.911696839816 & -6.81169683981557 \tabularnewline
75 & 99.9 & 99.6094516546488 & 0.290548345351255 \tabularnewline
76 & 88.1 & 99.8782696824631 & -11.7782696824631 \tabularnewline
77 & 87.8 & 88.9809051723436 & -1.18090517234357 \tabularnewline
78 & 87.1 & 87.8883207383096 & -0.788320738309608 \tabularnewline
79 & 85.9 & 87.1589590690793 & -1.25895906907927 \tabularnewline
80 & 86.5 & 85.9941584447987 & 0.505841555201258 \tabularnewline
81 & 84.1 & 86.4621677500706 & -2.36216775007058 \tabularnewline
82 & 92.1 & 84.2766682072222 & 7.82333179277781 \tabularnewline
83 & 93.3 & 91.5148874472216 & 1.78511255277837 \tabularnewline
84 & 98.9 & 93.1664901616831 & 5.73350983831686 \tabularnewline
85 & 103 & 98.4711867185571 & 4.52881328144288 \tabularnewline
86 & 98.4 & 102.661286831448 & -4.26128683144847 \tabularnewline
87 & 100.7 & 98.7187046749534 & 1.98129532504662 \tabularnewline
88 & 92.3 & 100.551817512519 & -8.25181751251864 \tabularnewline
89 & 89 & 92.9171593047183 & -3.91715930471827 \tabularnewline
90 & 88.9 & 89.2929671323079 & -0.392967132307874 \tabularnewline
91 & 85.5 & 88.9293902915066 & -3.42939029150661 \tabularnewline
92 & 90.1 & 85.7564865406564 & 4.34351345934361 \tabularnewline
93 & 87 & 89.7751455370243 & -2.77514553702427 \tabularnewline
94 & 97.1 & 87.2075551098317 & 9.89244489016831 \tabularnewline
95 & 101.5 & 96.3601370060453 & 5.13986299395471 \tabularnewline
96 & 103 & 101.115585988555 & 1.88441401144462 \tabularnewline
97 & 106.1 & 102.859063334915 & 3.240936665085 \tabularnewline
98 & 96.1 & 105.857608040189 & -9.75760804018928 \tabularnewline
99 & 94.2 & 96.8297784499791 & -2.62977844997913 \tabularnewline
100 & 89.1 & 94.3966830019314 & -5.2966830019314 \tabularnewline
101 & 85.2 & 89.4961426914526 & -4.29614269145262 \tabularnewline
102 & 86.5 & 85.5213115695306 & 0.978688430469418 \tabularnewline
103 & 88 & 86.4268031957362 & 1.57319680426379 \tabularnewline
104 & 88.4 & 87.8823394913386 & 0.51766050866145 \tabularnewline
105 & 87.9 & 88.3612838021295 & -0.461283802129543 \tabularnewline
106 & 95.7 & 87.9344997438647 & 7.76550025613531 \tabularnewline
107 & 94.8 & 95.1192127090068 & -0.31921270900682 \tabularnewline
108 & 105.2 & 94.8238741456957 & 10.3761258543043 \tabularnewline
109 & 108.7 & 104.423962162494 & 4.27603783750631 \tabularnewline
110 & 96.1 & 108.380192086805 & -12.280192086805 \tabularnewline
111 & 98.3 & 97.0184443061909 & 1.28155569380908 \tabularnewline
112 & 88.6 & 98.2041515375553 & -9.60415153755532 \tabularnewline
113 & 90.8 & 89.3183013289296 & 1.48169867107042 \tabularnewline
114 & 88.1 & 90.6891827018408 & -2.58918270184084 \tabularnewline
115 & 91.9 & 88.2936468170354 & 3.60635318296457 \tabularnewline
116 & 98.5 & 91.630278278744 & 6.86972172125598 \tabularnewline
117 & 98.6 & 97.9862086231711 & 0.613791376828942 \tabularnewline
118 & 100.3 & 98.5540941060813 & 1.74590589391867 \tabularnewline
119 & 98.7 & 100.169422455603 & -1.46942245560329 \tabularnewline
120 & 110.7 & 98.8098991512672 & 11.8901008487328 \tabularnewline
121 & 115.4 & 109.810730895139 & 5.58926910486102 \tabularnewline
122 & 105.4 & 114.981974585671 & -9.58197458567084 \tabularnewline
123 & 108 & 106.116642698914 & 1.88335730108558 \tabularnewline
124 & 94.5 & 107.859142367035 & -13.3591423670348 \tabularnewline
125 & 96.5 & 95.4991397655563 & 1.00086023444368 \tabularnewline
126 & 91 & 96.4251449507369 & -5.42514495073694 \tabularnewline
127 & 94.1 & 91.4057504520323 & 2.69424954796769 \tabularnewline
128 & 96.4 & 93.8984951587649 & 2.50150484123513 \tabularnewline
129 & 93.1 & 96.2129106725611 & -3.11291067256107 \tabularnewline
130 & 97.5 & 93.3328168047116 & 4.1671831952884 \tabularnewline
131 & 102.5 & 97.1883334029702 & 5.31166659702983 \tabularnewline
132 & 105.7 & 102.102736674806 & 3.59726332519411 \tabularnewline
133 & 109.1 & 105.430958115676 & 3.66904188432393 \tabularnewline
134 & 97.2 & 108.825589746153 & -11.6255897461527 \tabularnewline
135 & 100.3 & 98.0694861312421 & 2.23051386875794 \tabularnewline
136 & 91.3 & 100.133178280261 & -8.83317828026144 \tabularnewline
137 & 94.3 & 91.9606396903019 & 2.33936030969805 \tabularnewline
138 & 89.5 & 94.1250375774757 & -4.62503757747568 \tabularnewline
139 & 89.3 & 89.8459098521363 & -0.545909852136262 \tabularnewline
140 & 93.4 & 89.3408289863745 & 4.05917101362553 \tabularnewline
141 & 91.9 & 93.0964117109108 & -1.19641171091082 \tabularnewline
142 & 92.9 & 91.9894804833653 & 0.910519516634693 \tabularnewline
143 & 93.7 & 92.8319015973189 & 0.868098402681127 \tabularnewline
144 & 100.1 & 93.6350743026233 & 6.46492569737671 \tabularnewline
145 & 105.5 & 99.6164836058971 & 5.88351639410291 \tabularnewline
146 & 110.5 & 105.059967621488 & 5.4400323785123 \tabularnewline
147 & 89.5 & 110.093136106649 & -20.5931361066487 \tabularnewline
148 & 90.4 & 91.0401753058968 & -0.640175305896776 \tabularnewline
149 & 89.9 & 90.4478791667515 & -0.547879166751528 \tabularnewline
150 & 84.6 & 89.9409762728161 & -5.34097627281615 \tabularnewline
151 & 86.2 & 84.9994554167064 & 1.20054458329365 \tabularnewline
152 & 83.4 & 86.1102104161677 & -2.71021041616774 \tabularnewline
153 & 82.9 & 83.6026985659274 & -0.70269856592742 \tabularnewline
154 & 81.8 & 82.9525553258681 & -1.15255532586809 \tabularnewline
155 & 87.6 & 81.8862004331146 & 5.71379956688537 \tabularnewline
156 & 94.6 & 87.1726608637856 & 7.42733913621439 \tabularnewline
157 & 99.6 & 94.0445040198406 & 5.55549598015938 \tabularnewline
158 & 96.7 & 99.1845005017042 & -2.48450050170416 \tabularnewline
159 & 99.8 & 96.8858175607832 & 2.91418243921684 \tabularnewline
160 & 83.8 & 99.5820462212984 & -15.7820462212984 \tabularnewline
161 & 82.4 & 84.980350469238 & -2.58035046923801 \tabularnewline
162 & 86.8 & 82.592986248073 & 4.20701375192695 \tabularnewline
163 & 91 & 86.4853544472911 & 4.5146455527089 \tabularnewline
164 & 85.3 & 90.6623464459639 & -5.36234644596391 \tabularnewline
165 & 83.6 & 85.7010537071656 & -2.10105370716559 \tabularnewline
166 & 94 & 83.7571393021141 & 10.2428606978859 \tabularnewline
167 & 100.3 & 93.2339291583893 & 7.06607084161071 \tabularnewline
168 & 107.1 & 99.7715235327147 & 7.32847646728526 \tabularnewline
169 & 100.7 & 106.551898029212 & -5.85189802921207 \tabularnewline
170 & 95.5 & 101.137667618499 & -5.6376676184988 \tabularnewline
171 & 92.9 & 95.9216451736102 & -3.02164517361015 \tabularnewline
172 & 79.2 & 93.1259909930899 & -13.9259909930899 \tabularnewline
173 & 82 & 80.2415347777347 & 1.75846522226533 \tabularnewline
174 & 79.3 & 81.8684831344976 & -2.56848313449758 \tabularnewline
175 & 81.5 & 79.4920986816616 & 2.00790131833838 \tabularnewline
176 & 76 & 81.3498276313444 & -5.34982763134441 \tabularnewline
177 & 73.1 & 76.4001174161103 & -3.30011741611035 \tabularnewline
178 & 80.4 & 73.3468181302998 & 7.05318186970018 \tabularnewline
179 & 82.1 & 79.8724875080972 & 2.22751249190276 \tabularnewline
180 & 90.5 & 81.9334027553726 & 8.56659724462743 \tabularnewline
181 & 98.1 & 89.8592980950833 & 8.24070190491669 \tabularnewline
182 & 89.5 & 97.4836720394854 & -7.98367203948544 \tabularnewline
183 & 86.5 & 90.0971045139465 & -3.59710451394646 \tabularnewline
184 & 77 & 86.7690300067177 & -9.7690300067177 \tabularnewline
185 & 74.7 & 77.730632706985 & -3.03063270698499 \tabularnewline
186 & 73.4 & 74.9266631771076 & -1.52666317710755 \tabularnewline
187 & 72.5 & 73.5141802255677 & -1.01418022556769 \tabularnewline
188 & 69.3 & 72.5758512608793 & -3.27585126087929 \tabularnewline
189 & 75.2 & 69.5450032472795 & 5.65499675272054 \tabularnewline
190 & 83.5 & 74.777058768108 & 8.72294123189204 \tabularnewline
191 & 90.5 & 82.8476050170031 & 7.65239498299685 \tabularnewline
192 & 92.2 & 89.9276719328838 & 2.27232806711625 \tabularnewline
193 & 110.5 & 92.0300509666064 & 18.4699490333936 \tabularnewline
194 & 101.8 & 109.11861936642 & -7.31861936641984 \tabularnewline
195 & 107.4 & 102.347364751199 & 5.05263524880127 \tabularnewline
196 & 95.5 & 107.022109813697 & -11.5221098136969 \tabularnewline
197 & 84.5 & 96.3617467934453 & -11.8617467934453 \tabularnewline
198 & 81.1 & 85.387148484886 & -4.28714848488602 \tabularnewline
199 & 86.2 & 81.4206388864201 & 4.77936111357987 \tabularnewline
200 & 91.5 & 85.8425481807639 & 5.65745181923614 \tabularnewline
201 & 84.7 & 91.0768751519359 & -6.37687515193593 \tabularnewline
202 & 92.2 & 85.1769310311423 & 7.02306896885766 \tabularnewline
203 & 99.2 & 91.6747396733831 & 7.5252603266169 \tabularnewline
204 & 104.5 & 98.6371804243183 & 5.86281957568173 \tabularnewline
205 & 113 & 104.061515551268 & 8.9384844487323 \tabularnewline
206 & 100.4 & 112.33148438641 & -11.9314843864099 \tabularnewline
207 & 101 & 101.292364209097 & -0.292364209097258 \tabularnewline
208 & 84.8 & 101.021866127279 & -16.2218661272789 \tabularnewline
209 & 86.5 & 86.0132449130335 & 0.486755086966483 \tabularnewline
210 & 91.7 & 86.463595240614 & 5.23640475938599 \tabularnewline
211 & 94.8 & 91.3083655612084 & 3.49163443879161 \tabularnewline
212 & 95 & 94.538858175268 & 0.461141824732039 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314265&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]88.9[/C][C]97.7[/C][C]-8.8[/C][/ROW]
[ROW][C]3[/C][C]96.5[/C][C]89.5581582631077[/C][C]6.94184173689234[/C][/ROW]
[ROW][C]4[/C][C]89.5[/C][C]95.9808147158726[/C][C]-6.48081471587258[/C][/ROW]
[ROW][C]5[/C][C]85.4[/C][C]89.9847047451047[/C][C]-4.58470474510469[/C][/ROW]
[ROW][C]6[/C][C]84.3[/C][C]85.7428933308977[/C][C]-1.44289333089769[/C][/ROW]
[ROW][C]7[/C][C]83.7[/C][C]84.4079150191492[/C][C]-0.70791501914924[/C][/ROW]
[ROW][C]8[/C][C]86.2[/C][C]83.7529454681172[/C][C]2.44705453188283[/C][/ROW]
[ROW][C]9[/C][C]90.7[/C][C]86.0169830499507[/C][C]4.68301695004929[/C][/ROW]
[ROW][C]10[/C][C]95.7[/C][C]90.3497538293241[/C][C]5.35024617067593[/C][/ROW]
[ROW][C]11[/C][C]95.6[/C][C]95.2998512810352[/C][C]0.30014871896482[/C][/ROW]
[ROW][C]12[/C][C]97[/C][C]95.5775516636877[/C][C]1.42244833631226[/C][/ROW]
[ROW][C]13[/C][C]97.2[/C][C]96.8936140765469[/C][C]0.306385923453149[/C][/ROW]
[ROW][C]14[/C][C]86.6[/C][C]97.1770851787249[/C][C]-10.5770851787249[/C][/ROW]
[ROW][C]15[/C][C]88.4[/C][C]87.3910677284058[/C][C]1.00893227159416[/C][/ROW]
[ROW][C]16[/C][C]81.4[/C][C]88.3245412373334[/C][C]-6.92454123733344[/C][/ROW]
[ROW][C]17[/C][C]86.9[/C][C]81.9178913674524[/C][C]4.98210863254764[/C][/ROW]
[ROW][C]18[/C][C]84.9[/C][C]86.5273845495214[/C][C]-1.62738454952144[/C][/ROW]
[ROW][C]19[/C][C]83.7[/C][C]85.0217132486956[/C][C]-1.3217132486956[/C][/ROW]
[ROW][C]20[/C][C]86.8[/C][C]83.7988518745555[/C][C]3.00114812544454[/C][/ROW]
[ROW][C]21[/C][C]88.3[/C][C]86.5755419957305[/C][C]1.72445800426948[/C][/ROW]
[ROW][C]22[/C][C]92.5[/C][C]88.171026558535[/C][C]4.32897344146501[/C][/ROW]
[ROW][C]23[/C][C]94.7[/C][C]92.1762329953098[/C][C]2.52376700469021[/C][/ROW]
[ROW][C]24[/C][C]94.5[/C][C]94.5112456695119[/C][C]-0.0112456695118937[/C][/ROW]
[ROW][C]25[/C][C]98.7[/C][C]94.5008410716265[/C][C]4.19915892837348[/C][/ROW]
[ROW][C]26[/C][C]88.6[/C][C]98.3859419151351[/C][C]-9.78594191513508[/C][/ROW]
[ROW][C]27[/C][C]95.2[/C][C]89.331897560652[/C][C]5.86810243934798[/C][/ROW]
[ROW][C]28[/C][C]91.3[/C][C]94.7611204421342[/C][C]-3.46112044213419[/C][/ROW]
[ROW][C]29[/C][C]91.7[/C][C]91.5588596612047[/C][C]0.141140338795296[/C][/ROW]
[ROW][C]30[/C][C]89.3[/C][C]91.6894440136096[/C][C]-2.38944401360956[/C][/ROW]
[ROW][C]31[/C][C]88.7[/C][C]89.4787082183853[/C][C]-0.778708218385248[/C][/ROW]
[ROW][C]32[/C][C]91.2[/C][C]88.7582401418727[/C][C]2.44175985812727[/C][/ROW]
[ROW][C]33[/C][C]88.6[/C][C]91.0173790423692[/C][C]-2.41737904236921[/C][/ROW]
[ROW][C]34[/C][C]94.6[/C][C]88.780797499068[/C][C]5.81920250093197[/C][/ROW]
[ROW][C]35[/C][C]96[/C][C]94.1647777033312[/C][C]1.83522229666877[/C][/ROW]
[ROW][C]36[/C][C]94.3[/C][C]95.8627424182736[/C][C]-1.56274241827363[/C][/ROW]
[ROW][C]37[/C][C]102[/C][C]94.4168786176927[/C][C]7.58312138230733[/C][/ROW]
[ROW][C]38[/C][C]93.4[/C][C]101.432852954782[/C][C]-8.03285295478248[/C][/ROW]
[ROW][C]39[/C][C]96.7[/C][C]94.0007827896044[/C][C]2.69921721039557[/C][/ROW]
[ROW][C]40[/C][C]93.7[/C][C]96.4981236237563[/C][C]-2.79812362375634[/C][/ROW]
[ROW][C]41[/C][C]91.6[/C][C]93.9092736572923[/C][C]-2.30927365729229[/C][/ROW]
[ROW][C]42[/C][C]89.6[/C][C]91.7727122203777[/C][C]-2.1727122203777[/C][/ROW]
[ROW][C]43[/C][C]92.9[/C][C]89.7624986933178[/C][C]3.13750130668222[/C][/ROW]
[ROW][C]44[/C][C]94.1[/C][C]92.6653440442609[/C][C]1.43465595573909[/C][/ROW]
[ROW][C]45[/C][C]92[/C][C]93.9927010600016[/C][C]-1.99270106000155[/C][/ROW]
[ROW][C]46[/C][C]97.5[/C][C]92.1490355305163[/C][C]5.3509644694837[/C][/ROW]
[ROW][C]47[/C][C]92.7[/C][C]97.0997975589561[/C][C]-4.39979755895611[/C][/ROW]
[ROW][C]48[/C][C]100.7[/C][C]93.0290639908441[/C][C]7.67093600915592[/C][/ROW]
[ROW][C]49[/C][C]105.9[/C][C]100.126285236341[/C][C]5.77371476365865[/C][/ROW]
[ROW][C]50[/C][C]95.3[/C][C]105.468179763576[/C][C]-10.1681797635763[/C][/ROW]
[ROW][C]51[/C][C]99.8[/C][C]96.060485401382[/C][C]3.73951459861797[/C][/ROW]
[ROW][C]52[/C][C]91.3[/C][C]99.5203190416941[/C][C]-8.22031904169407[/C][/ROW]
[ROW][C]53[/C][C]90.8[/C][C]91.9148035116673[/C][C]-1.1148035116673[/C][/ROW]
[ROW][C]54[/C][C]87.1[/C][C]90.883376948062[/C][C]-3.78337694806197[/C][/ROW]
[ROW][C]55[/C][C]91.4[/C][C]87.3829614546384[/C][C]4.0170385453616[/C][/ROW]
[ROW][C]56[/C][C]86.1[/C][C]91.0995628281987[/C][C]-4.99956282819868[/C][/ROW]
[ROW][C]57[/C][C]87.1[/C][C]86.4739208621937[/C][C]0.626079137806272[/C][/ROW]
[ROW][C]58[/C][C]92.6[/C][C]87.0531750956924[/C][C]5.54682490430756[/C][/ROW]
[ROW][C]59[/C][C]96.6[/C][C]92.1851490176385[/C][C]4.41485098236153[/C][/ROW]
[ROW][C]60[/C][C]105.3[/C][C]96.2698101529056[/C][C]9.03018984709435[/C][/ROW]
[ROW][C]61[/C][C]102.4[/C][C]104.624625674398[/C][C]-2.22462567439817[/C][/ROW]
[ROW][C]62[/C][C]98.2[/C][C]102.566381337492[/C][C]-4.36638133749166[/C][/ROW]
[ROW][C]63[/C][C]98.6[/C][C]98.5265647678579[/C][C]0.073435232142117[/C][/ROW]
[ROW][C]64[/C][C]92.6[/C][C]98.594507726723[/C][C]-5.994507726723[/C][/ROW]
[ROW][C]65[/C][C]87.9[/C][C]93.0483334992733[/C][C]-5.14833349927333[/C][/ROW]
[ROW][C]66[/C][C]84.1[/C][C]88.285047526566[/C][C]-4.18504752656601[/C][/ROW]
[ROW][C]67[/C][C]86.7[/C][C]84.4130026830804[/C][C]2.2869973169196[/C][/ROW]
[ROW][C]68[/C][C]84.4[/C][C]86.5289538429732[/C][C]-2.12895384297322[/C][/ROW]
[ROW][C]69[/C][C]86[/C][C]84.5592259731282[/C][C]1.44077402687185[/C][/ROW]
[ROW][C]70[/C][C]90.4[/C][C]85.8922434851072[/C][C]4.5077565148928[/C][/ROW]
[ROW][C]71[/C][C]92.9[/C][C]90.0628616820052[/C][C]2.83713831799479[/C][/ROW]
[ROW][C]72[/C][C]105.8[/C][C]92.6878084059582[/C][C]13.1121915940418[/C][/ROW]
[ROW][C]73[/C][C]106[/C][C]104.819329858515[/C][C]1.18067014148517[/C][/ROW]
[ROW][C]74[/C][C]99.1[/C][C]105.911696839816[/C][C]-6.81169683981557[/C][/ROW]
[ROW][C]75[/C][C]99.9[/C][C]99.6094516546488[/C][C]0.290548345351255[/C][/ROW]
[ROW][C]76[/C][C]88.1[/C][C]99.8782696824631[/C][C]-11.7782696824631[/C][/ROW]
[ROW][C]77[/C][C]87.8[/C][C]88.9809051723436[/C][C]-1.18090517234357[/C][/ROW]
[ROW][C]78[/C][C]87.1[/C][C]87.8883207383096[/C][C]-0.788320738309608[/C][/ROW]
[ROW][C]79[/C][C]85.9[/C][C]87.1589590690793[/C][C]-1.25895906907927[/C][/ROW]
[ROW][C]80[/C][C]86.5[/C][C]85.9941584447987[/C][C]0.505841555201258[/C][/ROW]
[ROW][C]81[/C][C]84.1[/C][C]86.4621677500706[/C][C]-2.36216775007058[/C][/ROW]
[ROW][C]82[/C][C]92.1[/C][C]84.2766682072222[/C][C]7.82333179277781[/C][/ROW]
[ROW][C]83[/C][C]93.3[/C][C]91.5148874472216[/C][C]1.78511255277837[/C][/ROW]
[ROW][C]84[/C][C]98.9[/C][C]93.1664901616831[/C][C]5.73350983831686[/C][/ROW]
[ROW][C]85[/C][C]103[/C][C]98.4711867185571[/C][C]4.52881328144288[/C][/ROW]
[ROW][C]86[/C][C]98.4[/C][C]102.661286831448[/C][C]-4.26128683144847[/C][/ROW]
[ROW][C]87[/C][C]100.7[/C][C]98.7187046749534[/C][C]1.98129532504662[/C][/ROW]
[ROW][C]88[/C][C]92.3[/C][C]100.551817512519[/C][C]-8.25181751251864[/C][/ROW]
[ROW][C]89[/C][C]89[/C][C]92.9171593047183[/C][C]-3.91715930471827[/C][/ROW]
[ROW][C]90[/C][C]88.9[/C][C]89.2929671323079[/C][C]-0.392967132307874[/C][/ROW]
[ROW][C]91[/C][C]85.5[/C][C]88.9293902915066[/C][C]-3.42939029150661[/C][/ROW]
[ROW][C]92[/C][C]90.1[/C][C]85.7564865406564[/C][C]4.34351345934361[/C][/ROW]
[ROW][C]93[/C][C]87[/C][C]89.7751455370243[/C][C]-2.77514553702427[/C][/ROW]
[ROW][C]94[/C][C]97.1[/C][C]87.2075551098317[/C][C]9.89244489016831[/C][/ROW]
[ROW][C]95[/C][C]101.5[/C][C]96.3601370060453[/C][C]5.13986299395471[/C][/ROW]
[ROW][C]96[/C][C]103[/C][C]101.115585988555[/C][C]1.88441401144462[/C][/ROW]
[ROW][C]97[/C][C]106.1[/C][C]102.859063334915[/C][C]3.240936665085[/C][/ROW]
[ROW][C]98[/C][C]96.1[/C][C]105.857608040189[/C][C]-9.75760804018928[/C][/ROW]
[ROW][C]99[/C][C]94.2[/C][C]96.8297784499791[/C][C]-2.62977844997913[/C][/ROW]
[ROW][C]100[/C][C]89.1[/C][C]94.3966830019314[/C][C]-5.2966830019314[/C][/ROW]
[ROW][C]101[/C][C]85.2[/C][C]89.4961426914526[/C][C]-4.29614269145262[/C][/ROW]
[ROW][C]102[/C][C]86.5[/C][C]85.5213115695306[/C][C]0.978688430469418[/C][/ROW]
[ROW][C]103[/C][C]88[/C][C]86.4268031957362[/C][C]1.57319680426379[/C][/ROW]
[ROW][C]104[/C][C]88.4[/C][C]87.8823394913386[/C][C]0.51766050866145[/C][/ROW]
[ROW][C]105[/C][C]87.9[/C][C]88.3612838021295[/C][C]-0.461283802129543[/C][/ROW]
[ROW][C]106[/C][C]95.7[/C][C]87.9344997438647[/C][C]7.76550025613531[/C][/ROW]
[ROW][C]107[/C][C]94.8[/C][C]95.1192127090068[/C][C]-0.31921270900682[/C][/ROW]
[ROW][C]108[/C][C]105.2[/C][C]94.8238741456957[/C][C]10.3761258543043[/C][/ROW]
[ROW][C]109[/C][C]108.7[/C][C]104.423962162494[/C][C]4.27603783750631[/C][/ROW]
[ROW][C]110[/C][C]96.1[/C][C]108.380192086805[/C][C]-12.280192086805[/C][/ROW]
[ROW][C]111[/C][C]98.3[/C][C]97.0184443061909[/C][C]1.28155569380908[/C][/ROW]
[ROW][C]112[/C][C]88.6[/C][C]98.2041515375553[/C][C]-9.60415153755532[/C][/ROW]
[ROW][C]113[/C][C]90.8[/C][C]89.3183013289296[/C][C]1.48169867107042[/C][/ROW]
[ROW][C]114[/C][C]88.1[/C][C]90.6891827018408[/C][C]-2.58918270184084[/C][/ROW]
[ROW][C]115[/C][C]91.9[/C][C]88.2936468170354[/C][C]3.60635318296457[/C][/ROW]
[ROW][C]116[/C][C]98.5[/C][C]91.630278278744[/C][C]6.86972172125598[/C][/ROW]
[ROW][C]117[/C][C]98.6[/C][C]97.9862086231711[/C][C]0.613791376828942[/C][/ROW]
[ROW][C]118[/C][C]100.3[/C][C]98.5540941060813[/C][C]1.74590589391867[/C][/ROW]
[ROW][C]119[/C][C]98.7[/C][C]100.169422455603[/C][C]-1.46942245560329[/C][/ROW]
[ROW][C]120[/C][C]110.7[/C][C]98.8098991512672[/C][C]11.8901008487328[/C][/ROW]
[ROW][C]121[/C][C]115.4[/C][C]109.810730895139[/C][C]5.58926910486102[/C][/ROW]
[ROW][C]122[/C][C]105.4[/C][C]114.981974585671[/C][C]-9.58197458567084[/C][/ROW]
[ROW][C]123[/C][C]108[/C][C]106.116642698914[/C][C]1.88335730108558[/C][/ROW]
[ROW][C]124[/C][C]94.5[/C][C]107.859142367035[/C][C]-13.3591423670348[/C][/ROW]
[ROW][C]125[/C][C]96.5[/C][C]95.4991397655563[/C][C]1.00086023444368[/C][/ROW]
[ROW][C]126[/C][C]91[/C][C]96.4251449507369[/C][C]-5.42514495073694[/C][/ROW]
[ROW][C]127[/C][C]94.1[/C][C]91.4057504520323[/C][C]2.69424954796769[/C][/ROW]
[ROW][C]128[/C][C]96.4[/C][C]93.8984951587649[/C][C]2.50150484123513[/C][/ROW]
[ROW][C]129[/C][C]93.1[/C][C]96.2129106725611[/C][C]-3.11291067256107[/C][/ROW]
[ROW][C]130[/C][C]97.5[/C][C]93.3328168047116[/C][C]4.1671831952884[/C][/ROW]
[ROW][C]131[/C][C]102.5[/C][C]97.1883334029702[/C][C]5.31166659702983[/C][/ROW]
[ROW][C]132[/C][C]105.7[/C][C]102.102736674806[/C][C]3.59726332519411[/C][/ROW]
[ROW][C]133[/C][C]109.1[/C][C]105.430958115676[/C][C]3.66904188432393[/C][/ROW]
[ROW][C]134[/C][C]97.2[/C][C]108.825589746153[/C][C]-11.6255897461527[/C][/ROW]
[ROW][C]135[/C][C]100.3[/C][C]98.0694861312421[/C][C]2.23051386875794[/C][/ROW]
[ROW][C]136[/C][C]91.3[/C][C]100.133178280261[/C][C]-8.83317828026144[/C][/ROW]
[ROW][C]137[/C][C]94.3[/C][C]91.9606396903019[/C][C]2.33936030969805[/C][/ROW]
[ROW][C]138[/C][C]89.5[/C][C]94.1250375774757[/C][C]-4.62503757747568[/C][/ROW]
[ROW][C]139[/C][C]89.3[/C][C]89.8459098521363[/C][C]-0.545909852136262[/C][/ROW]
[ROW][C]140[/C][C]93.4[/C][C]89.3408289863745[/C][C]4.05917101362553[/C][/ROW]
[ROW][C]141[/C][C]91.9[/C][C]93.0964117109108[/C][C]-1.19641171091082[/C][/ROW]
[ROW][C]142[/C][C]92.9[/C][C]91.9894804833653[/C][C]0.910519516634693[/C][/ROW]
[ROW][C]143[/C][C]93.7[/C][C]92.8319015973189[/C][C]0.868098402681127[/C][/ROW]
[ROW][C]144[/C][C]100.1[/C][C]93.6350743026233[/C][C]6.46492569737671[/C][/ROW]
[ROW][C]145[/C][C]105.5[/C][C]99.6164836058971[/C][C]5.88351639410291[/C][/ROW]
[ROW][C]146[/C][C]110.5[/C][C]105.059967621488[/C][C]5.4400323785123[/C][/ROW]
[ROW][C]147[/C][C]89.5[/C][C]110.093136106649[/C][C]-20.5931361066487[/C][/ROW]
[ROW][C]148[/C][C]90.4[/C][C]91.0401753058968[/C][C]-0.640175305896776[/C][/ROW]
[ROW][C]149[/C][C]89.9[/C][C]90.4478791667515[/C][C]-0.547879166751528[/C][/ROW]
[ROW][C]150[/C][C]84.6[/C][C]89.9409762728161[/C][C]-5.34097627281615[/C][/ROW]
[ROW][C]151[/C][C]86.2[/C][C]84.9994554167064[/C][C]1.20054458329365[/C][/ROW]
[ROW][C]152[/C][C]83.4[/C][C]86.1102104161677[/C][C]-2.71021041616774[/C][/ROW]
[ROW][C]153[/C][C]82.9[/C][C]83.6026985659274[/C][C]-0.70269856592742[/C][/ROW]
[ROW][C]154[/C][C]81.8[/C][C]82.9525553258681[/C][C]-1.15255532586809[/C][/ROW]
[ROW][C]155[/C][C]87.6[/C][C]81.8862004331146[/C][C]5.71379956688537[/C][/ROW]
[ROW][C]156[/C][C]94.6[/C][C]87.1726608637856[/C][C]7.42733913621439[/C][/ROW]
[ROW][C]157[/C][C]99.6[/C][C]94.0445040198406[/C][C]5.55549598015938[/C][/ROW]
[ROW][C]158[/C][C]96.7[/C][C]99.1845005017042[/C][C]-2.48450050170416[/C][/ROW]
[ROW][C]159[/C][C]99.8[/C][C]96.8858175607832[/C][C]2.91418243921684[/C][/ROW]
[ROW][C]160[/C][C]83.8[/C][C]99.5820462212984[/C][C]-15.7820462212984[/C][/ROW]
[ROW][C]161[/C][C]82.4[/C][C]84.980350469238[/C][C]-2.58035046923801[/C][/ROW]
[ROW][C]162[/C][C]86.8[/C][C]82.592986248073[/C][C]4.20701375192695[/C][/ROW]
[ROW][C]163[/C][C]91[/C][C]86.4853544472911[/C][C]4.5146455527089[/C][/ROW]
[ROW][C]164[/C][C]85.3[/C][C]90.6623464459639[/C][C]-5.36234644596391[/C][/ROW]
[ROW][C]165[/C][C]83.6[/C][C]85.7010537071656[/C][C]-2.10105370716559[/C][/ROW]
[ROW][C]166[/C][C]94[/C][C]83.7571393021141[/C][C]10.2428606978859[/C][/ROW]
[ROW][C]167[/C][C]100.3[/C][C]93.2339291583893[/C][C]7.06607084161071[/C][/ROW]
[ROW][C]168[/C][C]107.1[/C][C]99.7715235327147[/C][C]7.32847646728526[/C][/ROW]
[ROW][C]169[/C][C]100.7[/C][C]106.551898029212[/C][C]-5.85189802921207[/C][/ROW]
[ROW][C]170[/C][C]95.5[/C][C]101.137667618499[/C][C]-5.6376676184988[/C][/ROW]
[ROW][C]171[/C][C]92.9[/C][C]95.9216451736102[/C][C]-3.02164517361015[/C][/ROW]
[ROW][C]172[/C][C]79.2[/C][C]93.1259909930899[/C][C]-13.9259909930899[/C][/ROW]
[ROW][C]173[/C][C]82[/C][C]80.2415347777347[/C][C]1.75846522226533[/C][/ROW]
[ROW][C]174[/C][C]79.3[/C][C]81.8684831344976[/C][C]-2.56848313449758[/C][/ROW]
[ROW][C]175[/C][C]81.5[/C][C]79.4920986816616[/C][C]2.00790131833838[/C][/ROW]
[ROW][C]176[/C][C]76[/C][C]81.3498276313444[/C][C]-5.34982763134441[/C][/ROW]
[ROW][C]177[/C][C]73.1[/C][C]76.4001174161103[/C][C]-3.30011741611035[/C][/ROW]
[ROW][C]178[/C][C]80.4[/C][C]73.3468181302998[/C][C]7.05318186970018[/C][/ROW]
[ROW][C]179[/C][C]82.1[/C][C]79.8724875080972[/C][C]2.22751249190276[/C][/ROW]
[ROW][C]180[/C][C]90.5[/C][C]81.9334027553726[/C][C]8.56659724462743[/C][/ROW]
[ROW][C]181[/C][C]98.1[/C][C]89.8592980950833[/C][C]8.24070190491669[/C][/ROW]
[ROW][C]182[/C][C]89.5[/C][C]97.4836720394854[/C][C]-7.98367203948544[/C][/ROW]
[ROW][C]183[/C][C]86.5[/C][C]90.0971045139465[/C][C]-3.59710451394646[/C][/ROW]
[ROW][C]184[/C][C]77[/C][C]86.7690300067177[/C][C]-9.7690300067177[/C][/ROW]
[ROW][C]185[/C][C]74.7[/C][C]77.730632706985[/C][C]-3.03063270698499[/C][/ROW]
[ROW][C]186[/C][C]73.4[/C][C]74.9266631771076[/C][C]-1.52666317710755[/C][/ROW]
[ROW][C]187[/C][C]72.5[/C][C]73.5141802255677[/C][C]-1.01418022556769[/C][/ROW]
[ROW][C]188[/C][C]69.3[/C][C]72.5758512608793[/C][C]-3.27585126087929[/C][/ROW]
[ROW][C]189[/C][C]75.2[/C][C]69.5450032472795[/C][C]5.65499675272054[/C][/ROW]
[ROW][C]190[/C][C]83.5[/C][C]74.777058768108[/C][C]8.72294123189204[/C][/ROW]
[ROW][C]191[/C][C]90.5[/C][C]82.8476050170031[/C][C]7.65239498299685[/C][/ROW]
[ROW][C]192[/C][C]92.2[/C][C]89.9276719328838[/C][C]2.27232806711625[/C][/ROW]
[ROW][C]193[/C][C]110.5[/C][C]92.0300509666064[/C][C]18.4699490333936[/C][/ROW]
[ROW][C]194[/C][C]101.8[/C][C]109.11861936642[/C][C]-7.31861936641984[/C][/ROW]
[ROW][C]195[/C][C]107.4[/C][C]102.347364751199[/C][C]5.05263524880127[/C][/ROW]
[ROW][C]196[/C][C]95.5[/C][C]107.022109813697[/C][C]-11.5221098136969[/C][/ROW]
[ROW][C]197[/C][C]84.5[/C][C]96.3617467934453[/C][C]-11.8617467934453[/C][/ROW]
[ROW][C]198[/C][C]81.1[/C][C]85.387148484886[/C][C]-4.28714848488602[/C][/ROW]
[ROW][C]199[/C][C]86.2[/C][C]81.4206388864201[/C][C]4.77936111357987[/C][/ROW]
[ROW][C]200[/C][C]91.5[/C][C]85.8425481807639[/C][C]5.65745181923614[/C][/ROW]
[ROW][C]201[/C][C]84.7[/C][C]91.0768751519359[/C][C]-6.37687515193593[/C][/ROW]
[ROW][C]202[/C][C]92.2[/C][C]85.1769310311423[/C][C]7.02306896885766[/C][/ROW]
[ROW][C]203[/C][C]99.2[/C][C]91.6747396733831[/C][C]7.5252603266169[/C][/ROW]
[ROW][C]204[/C][C]104.5[/C][C]98.6371804243183[/C][C]5.86281957568173[/C][/ROW]
[ROW][C]205[/C][C]113[/C][C]104.061515551268[/C][C]8.9384844487323[/C][/ROW]
[ROW][C]206[/C][C]100.4[/C][C]112.33148438641[/C][C]-11.9314843864099[/C][/ROW]
[ROW][C]207[/C][C]101[/C][C]101.292364209097[/C][C]-0.292364209097258[/C][/ROW]
[ROW][C]208[/C][C]84.8[/C][C]101.021866127279[/C][C]-16.2218661272789[/C][/ROW]
[ROW][C]209[/C][C]86.5[/C][C]86.0132449130335[/C][C]0.486755086966483[/C][/ROW]
[ROW][C]210[/C][C]91.7[/C][C]86.463595240614[/C][C]5.23640475938599[/C][/ROW]
[ROW][C]211[/C][C]94.8[/C][C]91.3083655612084[/C][C]3.49163443879161[/C][/ROW]
[ROW][C]212[/C][C]95[/C][C]94.538858175268[/C][C]0.461141824732039[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314265&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314265&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
288.997.7-8.8
396.589.55815826310776.94184173689234
489.595.9808147158726-6.48081471587258
585.489.9847047451047-4.58470474510469
684.385.7428933308977-1.44289333089769
783.784.4079150191492-0.70791501914924
886.283.75294546811722.44705453188283
990.786.01698304995074.68301695004929
1095.790.34975382932415.35024617067593
1195.695.29985128103520.30014871896482
129795.57755166368771.42244833631226
1397.296.89361407654690.306385923453149
1486.697.1770851787249-10.5770851787249
1588.487.39106772840581.00893227159416
1681.488.3245412373334-6.92454123733344
1786.981.91789136745244.98210863254764
1884.986.5273845495214-1.62738454952144
1983.785.0217132486956-1.3217132486956
2086.883.79885187455553.00114812544454
2188.386.57554199573051.72445800426948
2292.588.1710265585354.32897344146501
2394.792.17623299530982.52376700469021
2494.594.5112456695119-0.0112456695118937
2598.794.50084107162654.19915892837348
2688.698.3859419151351-9.78594191513508
2795.289.3318975606525.86810243934798
2891.394.7611204421342-3.46112044213419
2991.791.55885966120470.141140338795296
3089.391.6894440136096-2.38944401360956
3188.789.4787082183853-0.778708218385248
3291.288.75824014187272.44175985812727
3388.691.0173790423692-2.41737904236921
3494.688.7807974990685.81920250093197
359694.16477770333121.83522229666877
3694.395.8627424182736-1.56274241827363
3710294.41687861769277.58312138230733
3893.4101.432852954782-8.03285295478248
3996.794.00078278960442.69921721039557
4093.796.4981236237563-2.79812362375634
4191.693.9092736572923-2.30927365729229
4289.691.7727122203777-2.1727122203777
4392.989.76249869331783.13750130668222
4494.192.66534404426091.43465595573909
459293.9927010600016-1.99270106000155
4697.592.14903553051635.3509644694837
4792.797.0997975589561-4.39979755895611
48100.793.02906399084417.67093600915592
49105.9100.1262852363415.77371476365865
5095.3105.468179763576-10.1681797635763
5199.896.0604854013823.73951459861797
5291.399.5203190416941-8.22031904169407
5390.891.9148035116673-1.1148035116673
5487.190.883376948062-3.78337694806197
5591.487.38296145463844.0170385453616
5686.191.0995628281987-4.99956282819868
5787.186.47392086219370.626079137806272
5892.687.05317509569245.54682490430756
5996.692.18514901763854.41485098236153
60105.396.26981015290569.03018984709435
61102.4104.624625674398-2.22462567439817
6298.2102.566381337492-4.36638133749166
6398.698.52656476785790.073435232142117
6492.698.594507726723-5.994507726723
6587.993.0483334992733-5.14833349927333
6684.188.285047526566-4.18504752656601
6786.784.41300268308042.2869973169196
6884.486.5289538429732-2.12895384297322
698684.55922597312821.44077402687185
7090.485.89224348510724.5077565148928
7192.990.06286168200522.83713831799479
72105.892.687808405958213.1121915940418
73106104.8193298585151.18067014148517
7499.1105.911696839816-6.81169683981557
7599.999.60945165464880.290548345351255
7688.199.8782696824631-11.7782696824631
7787.888.9809051723436-1.18090517234357
7887.187.8883207383096-0.788320738309608
7985.987.1589590690793-1.25895906907927
8086.585.99415844479870.505841555201258
8184.186.4621677500706-2.36216775007058
8292.184.27666820722227.82333179277781
8393.391.51488744722161.78511255277837
8498.993.16649016168315.73350983831686
8510398.47118671855714.52881328144288
8698.4102.661286831448-4.26128683144847
87100.798.71870467495341.98129532504662
8892.3100.551817512519-8.25181751251864
898992.9171593047183-3.91715930471827
9088.989.2929671323079-0.392967132307874
9185.588.9293902915066-3.42939029150661
9290.185.75648654065644.34351345934361
938789.7751455370243-2.77514553702427
9497.187.20755510983179.89244489016831
95101.596.36013700604535.13986299395471
96103101.1155859885551.88441401144462
97106.1102.8590633349153.240936665085
9896.1105.857608040189-9.75760804018928
9994.296.8297784499791-2.62977844997913
10089.194.3966830019314-5.2966830019314
10185.289.4961426914526-4.29614269145262
10286.585.52131156953060.978688430469418
1038886.42680319573621.57319680426379
10488.487.88233949133860.51766050866145
10587.988.3612838021295-0.461283802129543
10695.787.93449974386477.76550025613531
10794.895.1192127090068-0.31921270900682
108105.294.823874145695710.3761258543043
109108.7104.4239621624944.27603783750631
11096.1108.380192086805-12.280192086805
11198.397.01844430619091.28155569380908
11288.698.2041515375553-9.60415153755532
11390.889.31830132892961.48169867107042
11488.190.6891827018408-2.58918270184084
11591.988.29364681703543.60635318296457
11698.591.6302782787446.86972172125598
11798.697.98620862317110.613791376828942
118100.398.55409410608131.74590589391867
11998.7100.169422455603-1.46942245560329
120110.798.809899151267211.8901008487328
121115.4109.8107308951395.58926910486102
122105.4114.981974585671-9.58197458567084
123108106.1166426989141.88335730108558
12494.5107.859142367035-13.3591423670348
12596.595.49913976555631.00086023444368
1269196.4251449507369-5.42514495073694
12794.191.40575045203232.69424954796769
12896.493.89849515876492.50150484123513
12993.196.2129106725611-3.11291067256107
13097.593.33281680471164.1671831952884
131102.597.18833340297025.31166659702983
132105.7102.1027366748063.59726332519411
133109.1105.4309581156763.66904188432393
13497.2108.825589746153-11.6255897461527
135100.398.06948613124212.23051386875794
13691.3100.133178280261-8.83317828026144
13794.391.96063969030192.33936030969805
13889.594.1250375774757-4.62503757747568
13989.389.8459098521363-0.545909852136262
14093.489.34082898637454.05917101362553
14191.993.0964117109108-1.19641171091082
14292.991.98948048336530.910519516634693
14393.792.83190159731890.868098402681127
144100.193.63507430262336.46492569737671
145105.599.61648360589715.88351639410291
146110.5105.0599676214885.4400323785123
14789.5110.093136106649-20.5931361066487
14890.491.0401753058968-0.640175305896776
14989.990.4478791667515-0.547879166751528
15084.689.9409762728161-5.34097627281615
15186.284.99945541670641.20054458329365
15283.486.1102104161677-2.71021041616774
15382.983.6026985659274-0.70269856592742
15481.882.9525553258681-1.15255532586809
15587.681.88620043311465.71379956688537
15694.687.17266086378567.42733913621439
15799.694.04450401984065.55549598015938
15896.799.1845005017042-2.48450050170416
15999.896.88581756078322.91418243921684
16083.899.5820462212984-15.7820462212984
16182.484.980350469238-2.58035046923801
16286.882.5929862480734.20701375192695
1639186.48535444729114.5146455527089
16485.390.6623464459639-5.36234644596391
16583.685.7010537071656-2.10105370716559
1669483.757139302114110.2428606978859
167100.393.23392915838937.06607084161071
168107.199.77152353271477.32847646728526
169100.7106.551898029212-5.85189802921207
17095.5101.137667618499-5.6376676184988
17192.995.9216451736102-3.02164517361015
17279.293.1259909930899-13.9259909930899
1738280.24153477773471.75846522226533
17479.381.8684831344976-2.56848313449758
17581.579.49209868166162.00790131833838
1767681.3498276313444-5.34982763134441
17773.176.4001174161103-3.30011741611035
17880.473.34681813029987.05318186970018
17982.179.87248750809722.22751249190276
18090.581.93340275537268.56659724462743
18198.189.85929809508338.24070190491669
18289.597.4836720394854-7.98367203948544
18386.590.0971045139465-3.59710451394646
1847786.7690300067177-9.7690300067177
18574.777.730632706985-3.03063270698499
18673.474.9266631771076-1.52666317710755
18772.573.5141802255677-1.01418022556769
18869.372.5758512608793-3.27585126087929
18975.269.54500324727955.65499675272054
19083.574.7770587681088.72294123189204
19190.582.84760501700317.65239498299685
19292.289.92767193288382.27232806711625
193110.592.030050966606418.4699490333936
194101.8109.11861936642-7.31861936641984
195107.4102.3473647511995.05263524880127
19695.5107.022109813697-11.5221098136969
19784.596.3617467934453-11.8617467934453
19881.185.387148484886-4.28714848488602
19986.281.42063888642014.77936111357987
20091.585.84254818076395.65745181923614
20184.791.0768751519359-6.37687515193593
20292.285.17693103114237.02306896885766
20399.291.67473967338317.5252603266169
204104.598.63718042431835.86281957568173
205113104.0615155512688.9384844487323
206100.4112.33148438641-11.9314843864099
207101101.292364209097-0.292364209097258
20884.8101.021866127279-16.2218661272789
20986.586.01324491303350.486755086966483
21091.786.4635952406145.23640475938599
21194.891.30836556120843.49163443879161
2129594.5388581752680.461141824732039







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21394.965510874725983.3489510096735106.582070739778
21494.965510874725979.1396278505966110.791393898855
21594.965510874725975.8350983363487114.095923413103
21694.965510874725973.0227035273609116.908318222091
21794.965510874725970.5319089159755119.399112833476
21894.965510874725968.2725339880291121.658487761423
21994.965510874725966.1900156492948123.741006100157
22094.965510874725964.2483619858091125.682659763643
22194.965510874725962.4223495922235127.508672157228
22294.965510874725960.693489389934129.237532359518
22394.965510874725959.0477497105176130.883272038934
22494.965510874725957.4741828448442132.456838904608

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 94.9655108747259 & 83.3489510096735 & 106.582070739778 \tabularnewline
214 & 94.9655108747259 & 79.1396278505966 & 110.791393898855 \tabularnewline
215 & 94.9655108747259 & 75.8350983363487 & 114.095923413103 \tabularnewline
216 & 94.9655108747259 & 73.0227035273609 & 116.908318222091 \tabularnewline
217 & 94.9655108747259 & 70.5319089159755 & 119.399112833476 \tabularnewline
218 & 94.9655108747259 & 68.2725339880291 & 121.658487761423 \tabularnewline
219 & 94.9655108747259 & 66.1900156492948 & 123.741006100157 \tabularnewline
220 & 94.9655108747259 & 64.2483619858091 & 125.682659763643 \tabularnewline
221 & 94.9655108747259 & 62.4223495922235 & 127.508672157228 \tabularnewline
222 & 94.9655108747259 & 60.693489389934 & 129.237532359518 \tabularnewline
223 & 94.9655108747259 & 59.0477497105176 & 130.883272038934 \tabularnewline
224 & 94.9655108747259 & 57.4741828448442 & 132.456838904608 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314265&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]213[/C][C]94.9655108747259[/C][C]83.3489510096735[/C][C]106.582070739778[/C][/ROW]
[ROW][C]214[/C][C]94.9655108747259[/C][C]79.1396278505966[/C][C]110.791393898855[/C][/ROW]
[ROW][C]215[/C][C]94.9655108747259[/C][C]75.8350983363487[/C][C]114.095923413103[/C][/ROW]
[ROW][C]216[/C][C]94.9655108747259[/C][C]73.0227035273609[/C][C]116.908318222091[/C][/ROW]
[ROW][C]217[/C][C]94.9655108747259[/C][C]70.5319089159755[/C][C]119.399112833476[/C][/ROW]
[ROW][C]218[/C][C]94.9655108747259[/C][C]68.2725339880291[/C][C]121.658487761423[/C][/ROW]
[ROW][C]219[/C][C]94.9655108747259[/C][C]66.1900156492948[/C][C]123.741006100157[/C][/ROW]
[ROW][C]220[/C][C]94.9655108747259[/C][C]64.2483619858091[/C][C]125.682659763643[/C][/ROW]
[ROW][C]221[/C][C]94.9655108747259[/C][C]62.4223495922235[/C][C]127.508672157228[/C][/ROW]
[ROW][C]222[/C][C]94.9655108747259[/C][C]60.693489389934[/C][C]129.237532359518[/C][/ROW]
[ROW][C]223[/C][C]94.9655108747259[/C][C]59.0477497105176[/C][C]130.883272038934[/C][/ROW]
[ROW][C]224[/C][C]94.9655108747259[/C][C]57.4741828448442[/C][C]132.456838904608[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314265&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314265&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
21394.965510874725983.3489510096735106.582070739778
21494.965510874725979.1396278505966110.791393898855
21594.965510874725975.8350983363487114.095923413103
21694.965510874725973.0227035273609116.908318222091
21794.965510874725970.5319089159755119.399112833476
21894.965510874725968.2725339880291121.658487761423
21994.965510874725966.1900156492948123.741006100157
22094.965510874725964.2483619858091125.682659763643
22194.965510874725962.4223495922235127.508672157228
22294.965510874725960.693489389934129.237532359518
22394.965510874725959.0477497105176130.883272038934
22494.965510874725957.4741828448442132.456838904608



Parameters (Session):
par4 = TRUE ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')