Free Statistics

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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 10:37:25 +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/t1517477853zpf5ughme35sp9e.htm/, Retrieved Sun, 28 Apr 2024 23:36:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=314236, Retrieved Sun, 28 Apr 2024 23:36:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact43
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2018-02-01 09:37:25] [76be3f8cebcf898b0fe1a1e6b7c72c08] [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 time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314236&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=314236&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314236&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 time4 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.969230394189115
beta0.0812149495565841
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.969230394189115 \tabularnewline
beta & 0.0812149495565841 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314236&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]0.969230394189115[/C][/ROW]
[ROW][C]beta[/C][C]0.0812149495565841[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314236&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314236&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
alpha0.969230394189115
beta0.0812149495565841
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
396.580.116.4
489.588.4863208248951.01367917510497
585.482.0395446190443.36045538095601
684.378.13185683787446.16814316212563
783.777.43099693378616.26900306621386
886.277.32136434443918.87863565556094
990.780.439957641066310.2600423589337
1095.785.70508177076149.99491822923856
1195.691.4999994947964.10000050520404
129791.90411941926815.09588058073189
1397.293.67460390533333.52539609466673
1486.694.2004321643325-7.60043216433247
1588.483.34449391438185.05550608561818
1681.485.1530248880286-3.75302488802862
1786.978.12863681588418.77136318411593
1884.983.93371293499250.966287065007535
1983.782.24993430076511.4500656992349
2086.881.14919199095165.65080800904845
2188.384.564745795493.73525420451003
2292.586.41771089186116.08228910813894
2394.791.02426700772523.67573299227477
2494.593.58765478007020.91234521992979
2598.793.54449929664545.1555007033546
2688.698.0197594558779-9.41975945587787
2795.287.62674870310357.57325129689652
2891.394.300016491405-3.00001649140505
2991.790.48920248252831.21079751747173
3089.390.8549465297786-1.55494652977863
3188.788.41764821662250.28235178337755
3291.287.78334087406473.41665912593534
3388.690.4558452041081-1.85584520410814
3494.687.87199337739776.72800662260228
359694.13747339332521.86252660667482
3694.395.8337929353463-1.53379293534627
3710294.11756230788627.88243769211381
3893.4102.148302549495-8.74830254949485
3996.793.37139250882043.3286074911796
4093.796.5618054066518-2.86180540665177
4191.693.5270121038809-1.9270121038809
4289.691.2465622023482-1.64656220234818
4392.989.10832208310493.79167791689515
4494.192.53945528803391.56054471196613
459293.9309462110204-1.93094621102044
4697.591.78638165315325.71361834684681
4792.797.5009145830339-4.8009145830339
48100.792.64653383590678.05346616409329
49105.9100.88494623045.01505376960023
5095.3106.573201942424-11.2732019424244
5199.895.5870038132934.21299618670697
5291.399.9421297989573-8.64212979895734
5390.891.1574030899071-0.357403089907137
5487.190.3743519740611-3.27435197406112
5591.486.50636145935444.8936385406456
5686.190.9402432504374-4.84024325043737
5787.185.55874638020561.54125361979435
5892.686.483711553226.11628844678
5996.692.32438928155374.27561071844629
60105.396.71758517261488.58241482738522
61102.4105.960639852599-3.56063985259902
6298.2103.153997540447-4.95399754044747
6398.698.6069117488867-0.00691174888673629
6492.698.8541478039592-6.25414780395917
6587.992.554071311425-4.65407131142504
6684.187.4384877224289-3.33848772242887
6786.783.33521534252873.36478465747129
6884.485.9938206746866-1.59382067468663
698683.72093582176882.2790641782312
7090.485.38116749181545.01883250818457
7192.990.09192830782212.80807169217795
72105.892.880992711178412.9190072888216
73106106.48681575488-0.486815754879984
7499.1107.060987457726-7.96098745772564
7599.999.76430770538580.135692294614188
7688.1100.325857215363-12.2258572153629
7787.887.943846674107-0.143846674106953
7887.187.2607649378997-0.1607649378997
7985.986.5486307337461-0.648630733746103
8086.585.31258455670971.18741544329026
8184.185.9495587307436-1.84955873074365
8292.183.49741536837668.60258463162342
8393.391.85296806822021.44703193177983
8498.993.38704616618315.51295383381691
8510399.29589701260113.70410298739887
8698.4103.743126801882-5.3431268018815
87100.799.00091693981021.69908306018979
8892.3101.217975936359-8.9179759363586
898992.4426712843928-3.4426712843928
9088.988.70320501409120.196794985908809
9185.588.5067109852251-3.00671098522514
9290.184.96860534655475.13139465344527
938789.722121893091-2.72212189309104
9497.186.649496961127910.4505030388721
95101.597.16680225631894.33319774368111
96103102.0961213119510.903878688049289
97106.1103.7727898201072.32721017989316
9896.1107.012183142036-10.9121831420364
9994.296.5605906740052-2.36059067400518
10089.194.2116452949432-5.11164529494323
10185.288.7939259025641-3.59392590256405
10286.584.5643268125061.93567318749396
1038885.84655167414122.15344832585882
10488.487.50936165216970.890638347830318
10587.988.0183253034337-0.118325303433721
10695.787.54005662296278.15994337703727
10794.895.7276556419289-0.927655641928922
108105.295.034256142251410.1657438577486
109108.7105.8931232813762.80687671862428
11096.1109.840498823432-13.7404988234316
11198.396.66805797403131.63194202596871
11288.698.5235139732992-9.92351397329918
11390.888.3979314975262.40206850247397
11488.190.4077594017673-2.30775940176733
11591.987.67102136634994.22897863365014
11698.591.60277678557286.8972232144272
11798.698.663597757421-0.0635977574210074
118100.398.97277331392611.32722668607387
11998.7100.734452166647-2.03445216664716
120110.799.077745767996511.6222542320035
121115.4111.5723916313523.82760836864844
122105.4116.813523823059-11.4135238230585
123108106.3840605391561.61593946084376
12494.5108.710349376661-14.2103493766607
12596.594.57873621859841.92126378140165
1269196.2336070357846-5.23360703578457
12794.190.54179099173153.55820900826848
12896.493.65135824935252.74864175064752
12993.196.1926303921193-3.09263039211929
13097.592.82892454694684.67107545305323
131102.597.35772674248395.14227325751607
132105.7102.7480073410392.95199265896115
133109.1106.2477704586492.85222954135072
13497.2109.875356224107-12.6753562241066
135100.397.45538060753352.84461939246646
13691.3100.30175412881-9.00175412880991
13794.390.95768031619393.34231968380607
13889.593.8409520589972-4.3409520589972
13989.388.93566093012160.364339069878383
14093.488.61956029020094.78043970979913
14191.992.9599756948827-1.05997569488265
14292.991.5562459304311.34375406956904
14393.792.58805905518151.11194094481851
144100.193.48271939436536.61728060563473
145105.5100.2342081072385.26579189276156
146110.5106.0902949440414.40970505595924
14789.5111.463750731031-21.9637507310306
14890.489.54635302023420.853646979765784
14989.989.81146636063010.0885336393699134
15084.689.3419776102565-4.74197761025647
15186.283.81734103921342.38265896078661
15283.485.3856721573506-1.98567215735062
15382.982.56377981918880.336220180811225
15481.882.0188020141449-0.218802014144885
15587.680.91865660948566.68134339051439
15694.687.03227046545717.56772953454291
15799.694.60069809288164.99930190711838
15896.7100.073252635318-3.37325263531756
15999.897.16534389196442.63465610803557
16083.8100.287872491989-16.4878724919889
16182.483.5784058280594-1.17840582805937
16286.881.61458018333415.18541981666587
1639186.22694327049924.77305672950078
16485.390.8153474420764-5.51534744207638
16583.684.9977715069953-1.39777150699535
1669483.061048340024610.9389516599754
167100.393.94252272349426.35747727650578
168107.1100.8839280501736.21607194982731
169100.7108.177583340849-7.47758334084895
17095.5101.610326284145-6.11032628414469
17192.995.8872758945161-2.98727589451613
17279.292.9560344630378-13.7560344630378
1738278.50456494386033.49543505613973
17479.381.0488906844916-1.74889068449158
17581.578.37259084539923.12740915460081
1767680.6687261529573-4.66872615295728
17773.175.041106726695-1.94110672669503
17880.471.90438279975988.49561720024022
17982.179.55198990148432.54801009851568
18090.581.63556458425258.86443541574745
18198.190.53898354377757.56101645622253
18289.598.7742621843842-9.27426218438421
18386.589.9622442722768-3.46224427227681
1847786.5108767604226-9.51087676042256
18574.776.4483326457893-1.7483326457893
18673.473.7718604749901-0.371860474990086
18772.572.40023560063820.0997643993617885
18869.371.4935769433818-2.19357694338181
18975.268.19147255513697.00852744486312
19083.574.36001065981869.13998934018143
19190.583.31388979621567.18611020378437
19292.290.93967172040351.26032827959652
193110.592.921213692129617.5787863078704
194101.8112.102832871501-10.3028328715009
195107.4103.4497415357143.95025846428648
19695.5108.922128069411-13.4221280694114
19784.596.5001333545143-12.0001333545143
19881.184.5117766696648-3.41177666966485
19986.280.57895491586055.62104508413945
20091.585.84348472233565.65651527766438
20184.791.5876515613298-6.8876515613298
20292.284.63146226660797.56853773339213
20399.292.28241601833296.91758398166708
204104.599.8469701325854.653029867415
205113105.5829174577677.41708254223255
206100.4114.581711697914-14.1817116979142
207101101.529970499083-0.529970499083134
20884.8101.668194647243-16.8681946472434
20986.584.64311859502261.85688140497736
21091.785.91312165828415.78687834171589
21194.891.44771710320313.35228289679685
2129594.88650693771980.113493062280199

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 96.5 & 80.1 & 16.4 \tabularnewline
4 & 89.5 & 88.486320824895 & 1.01367917510497 \tabularnewline
5 & 85.4 & 82.039544619044 & 3.36045538095601 \tabularnewline
6 & 84.3 & 78.1318568378744 & 6.16814316212563 \tabularnewline
7 & 83.7 & 77.4309969337861 & 6.26900306621386 \tabularnewline
8 & 86.2 & 77.3213643444391 & 8.87863565556094 \tabularnewline
9 & 90.7 & 80.4399576410663 & 10.2600423589337 \tabularnewline
10 & 95.7 & 85.7050817707614 & 9.99491822923856 \tabularnewline
11 & 95.6 & 91.499999494796 & 4.10000050520404 \tabularnewline
12 & 97 & 91.9041194192681 & 5.09588058073189 \tabularnewline
13 & 97.2 & 93.6746039053333 & 3.52539609466673 \tabularnewline
14 & 86.6 & 94.2004321643325 & -7.60043216433247 \tabularnewline
15 & 88.4 & 83.3444939143818 & 5.05550608561818 \tabularnewline
16 & 81.4 & 85.1530248880286 & -3.75302488802862 \tabularnewline
17 & 86.9 & 78.1286368158841 & 8.77136318411593 \tabularnewline
18 & 84.9 & 83.9337129349925 & 0.966287065007535 \tabularnewline
19 & 83.7 & 82.2499343007651 & 1.4500656992349 \tabularnewline
20 & 86.8 & 81.1491919909516 & 5.65080800904845 \tabularnewline
21 & 88.3 & 84.56474579549 & 3.73525420451003 \tabularnewline
22 & 92.5 & 86.4177108918611 & 6.08228910813894 \tabularnewline
23 & 94.7 & 91.0242670077252 & 3.67573299227477 \tabularnewline
24 & 94.5 & 93.5876547800702 & 0.91234521992979 \tabularnewline
25 & 98.7 & 93.5444992966454 & 5.1555007033546 \tabularnewline
26 & 88.6 & 98.0197594558779 & -9.41975945587787 \tabularnewline
27 & 95.2 & 87.6267487031035 & 7.57325129689652 \tabularnewline
28 & 91.3 & 94.300016491405 & -3.00001649140505 \tabularnewline
29 & 91.7 & 90.4892024825283 & 1.21079751747173 \tabularnewline
30 & 89.3 & 90.8549465297786 & -1.55494652977863 \tabularnewline
31 & 88.7 & 88.4176482166225 & 0.28235178337755 \tabularnewline
32 & 91.2 & 87.7833408740647 & 3.41665912593534 \tabularnewline
33 & 88.6 & 90.4558452041081 & -1.85584520410814 \tabularnewline
34 & 94.6 & 87.8719933773977 & 6.72800662260228 \tabularnewline
35 & 96 & 94.1374733933252 & 1.86252660667482 \tabularnewline
36 & 94.3 & 95.8337929353463 & -1.53379293534627 \tabularnewline
37 & 102 & 94.1175623078862 & 7.88243769211381 \tabularnewline
38 & 93.4 & 102.148302549495 & -8.74830254949485 \tabularnewline
39 & 96.7 & 93.3713925088204 & 3.3286074911796 \tabularnewline
40 & 93.7 & 96.5618054066518 & -2.86180540665177 \tabularnewline
41 & 91.6 & 93.5270121038809 & -1.9270121038809 \tabularnewline
42 & 89.6 & 91.2465622023482 & -1.64656220234818 \tabularnewline
43 & 92.9 & 89.1083220831049 & 3.79167791689515 \tabularnewline
44 & 94.1 & 92.5394552880339 & 1.56054471196613 \tabularnewline
45 & 92 & 93.9309462110204 & -1.93094621102044 \tabularnewline
46 & 97.5 & 91.7863816531532 & 5.71361834684681 \tabularnewline
47 & 92.7 & 97.5009145830339 & -4.8009145830339 \tabularnewline
48 & 100.7 & 92.6465338359067 & 8.05346616409329 \tabularnewline
49 & 105.9 & 100.8849462304 & 5.01505376960023 \tabularnewline
50 & 95.3 & 106.573201942424 & -11.2732019424244 \tabularnewline
51 & 99.8 & 95.587003813293 & 4.21299618670697 \tabularnewline
52 & 91.3 & 99.9421297989573 & -8.64212979895734 \tabularnewline
53 & 90.8 & 91.1574030899071 & -0.357403089907137 \tabularnewline
54 & 87.1 & 90.3743519740611 & -3.27435197406112 \tabularnewline
55 & 91.4 & 86.5063614593544 & 4.8936385406456 \tabularnewline
56 & 86.1 & 90.9402432504374 & -4.84024325043737 \tabularnewline
57 & 87.1 & 85.5587463802056 & 1.54125361979435 \tabularnewline
58 & 92.6 & 86.48371155322 & 6.11628844678 \tabularnewline
59 & 96.6 & 92.3243892815537 & 4.27561071844629 \tabularnewline
60 & 105.3 & 96.7175851726148 & 8.58241482738522 \tabularnewline
61 & 102.4 & 105.960639852599 & -3.56063985259902 \tabularnewline
62 & 98.2 & 103.153997540447 & -4.95399754044747 \tabularnewline
63 & 98.6 & 98.6069117488867 & -0.00691174888673629 \tabularnewline
64 & 92.6 & 98.8541478039592 & -6.25414780395917 \tabularnewline
65 & 87.9 & 92.554071311425 & -4.65407131142504 \tabularnewline
66 & 84.1 & 87.4384877224289 & -3.33848772242887 \tabularnewline
67 & 86.7 & 83.3352153425287 & 3.36478465747129 \tabularnewline
68 & 84.4 & 85.9938206746866 & -1.59382067468663 \tabularnewline
69 & 86 & 83.7209358217688 & 2.2790641782312 \tabularnewline
70 & 90.4 & 85.3811674918154 & 5.01883250818457 \tabularnewline
71 & 92.9 & 90.0919283078221 & 2.80807169217795 \tabularnewline
72 & 105.8 & 92.8809927111784 & 12.9190072888216 \tabularnewline
73 & 106 & 106.48681575488 & -0.486815754879984 \tabularnewline
74 & 99.1 & 107.060987457726 & -7.96098745772564 \tabularnewline
75 & 99.9 & 99.7643077053858 & 0.135692294614188 \tabularnewline
76 & 88.1 & 100.325857215363 & -12.2258572153629 \tabularnewline
77 & 87.8 & 87.943846674107 & -0.143846674106953 \tabularnewline
78 & 87.1 & 87.2607649378997 & -0.1607649378997 \tabularnewline
79 & 85.9 & 86.5486307337461 & -0.648630733746103 \tabularnewline
80 & 86.5 & 85.3125845567097 & 1.18741544329026 \tabularnewline
81 & 84.1 & 85.9495587307436 & -1.84955873074365 \tabularnewline
82 & 92.1 & 83.4974153683766 & 8.60258463162342 \tabularnewline
83 & 93.3 & 91.8529680682202 & 1.44703193177983 \tabularnewline
84 & 98.9 & 93.3870461661831 & 5.51295383381691 \tabularnewline
85 & 103 & 99.2958970126011 & 3.70410298739887 \tabularnewline
86 & 98.4 & 103.743126801882 & -5.3431268018815 \tabularnewline
87 & 100.7 & 99.0009169398102 & 1.69908306018979 \tabularnewline
88 & 92.3 & 101.217975936359 & -8.9179759363586 \tabularnewline
89 & 89 & 92.4426712843928 & -3.4426712843928 \tabularnewline
90 & 88.9 & 88.7032050140912 & 0.196794985908809 \tabularnewline
91 & 85.5 & 88.5067109852251 & -3.00671098522514 \tabularnewline
92 & 90.1 & 84.9686053465547 & 5.13139465344527 \tabularnewline
93 & 87 & 89.722121893091 & -2.72212189309104 \tabularnewline
94 & 97.1 & 86.6494969611279 & 10.4505030388721 \tabularnewline
95 & 101.5 & 97.1668022563189 & 4.33319774368111 \tabularnewline
96 & 103 & 102.096121311951 & 0.903878688049289 \tabularnewline
97 & 106.1 & 103.772789820107 & 2.32721017989316 \tabularnewline
98 & 96.1 & 107.012183142036 & -10.9121831420364 \tabularnewline
99 & 94.2 & 96.5605906740052 & -2.36059067400518 \tabularnewline
100 & 89.1 & 94.2116452949432 & -5.11164529494323 \tabularnewline
101 & 85.2 & 88.7939259025641 & -3.59392590256405 \tabularnewline
102 & 86.5 & 84.564326812506 & 1.93567318749396 \tabularnewline
103 & 88 & 85.8465516741412 & 2.15344832585882 \tabularnewline
104 & 88.4 & 87.5093616521697 & 0.890638347830318 \tabularnewline
105 & 87.9 & 88.0183253034337 & -0.118325303433721 \tabularnewline
106 & 95.7 & 87.5400566229627 & 8.15994337703727 \tabularnewline
107 & 94.8 & 95.7276556419289 & -0.927655641928922 \tabularnewline
108 & 105.2 & 95.0342561422514 & 10.1657438577486 \tabularnewline
109 & 108.7 & 105.893123281376 & 2.80687671862428 \tabularnewline
110 & 96.1 & 109.840498823432 & -13.7404988234316 \tabularnewline
111 & 98.3 & 96.6680579740313 & 1.63194202596871 \tabularnewline
112 & 88.6 & 98.5235139732992 & -9.92351397329918 \tabularnewline
113 & 90.8 & 88.397931497526 & 2.40206850247397 \tabularnewline
114 & 88.1 & 90.4077594017673 & -2.30775940176733 \tabularnewline
115 & 91.9 & 87.6710213663499 & 4.22897863365014 \tabularnewline
116 & 98.5 & 91.6027767855728 & 6.8972232144272 \tabularnewline
117 & 98.6 & 98.663597757421 & -0.0635977574210074 \tabularnewline
118 & 100.3 & 98.9727733139261 & 1.32722668607387 \tabularnewline
119 & 98.7 & 100.734452166647 & -2.03445216664716 \tabularnewline
120 & 110.7 & 99.0777457679965 & 11.6222542320035 \tabularnewline
121 & 115.4 & 111.572391631352 & 3.82760836864844 \tabularnewline
122 & 105.4 & 116.813523823059 & -11.4135238230585 \tabularnewline
123 & 108 & 106.384060539156 & 1.61593946084376 \tabularnewline
124 & 94.5 & 108.710349376661 & -14.2103493766607 \tabularnewline
125 & 96.5 & 94.5787362185984 & 1.92126378140165 \tabularnewline
126 & 91 & 96.2336070357846 & -5.23360703578457 \tabularnewline
127 & 94.1 & 90.5417909917315 & 3.55820900826848 \tabularnewline
128 & 96.4 & 93.6513582493525 & 2.74864175064752 \tabularnewline
129 & 93.1 & 96.1926303921193 & -3.09263039211929 \tabularnewline
130 & 97.5 & 92.8289245469468 & 4.67107545305323 \tabularnewline
131 & 102.5 & 97.3577267424839 & 5.14227325751607 \tabularnewline
132 & 105.7 & 102.748007341039 & 2.95199265896115 \tabularnewline
133 & 109.1 & 106.247770458649 & 2.85222954135072 \tabularnewline
134 & 97.2 & 109.875356224107 & -12.6753562241066 \tabularnewline
135 & 100.3 & 97.4553806075335 & 2.84461939246646 \tabularnewline
136 & 91.3 & 100.30175412881 & -9.00175412880991 \tabularnewline
137 & 94.3 & 90.9576803161939 & 3.34231968380607 \tabularnewline
138 & 89.5 & 93.8409520589972 & -4.3409520589972 \tabularnewline
139 & 89.3 & 88.9356609301216 & 0.364339069878383 \tabularnewline
140 & 93.4 & 88.6195602902009 & 4.78043970979913 \tabularnewline
141 & 91.9 & 92.9599756948827 & -1.05997569488265 \tabularnewline
142 & 92.9 & 91.556245930431 & 1.34375406956904 \tabularnewline
143 & 93.7 & 92.5880590551815 & 1.11194094481851 \tabularnewline
144 & 100.1 & 93.4827193943653 & 6.61728060563473 \tabularnewline
145 & 105.5 & 100.234208107238 & 5.26579189276156 \tabularnewline
146 & 110.5 & 106.090294944041 & 4.40970505595924 \tabularnewline
147 & 89.5 & 111.463750731031 & -21.9637507310306 \tabularnewline
148 & 90.4 & 89.5463530202342 & 0.853646979765784 \tabularnewline
149 & 89.9 & 89.8114663606301 & 0.0885336393699134 \tabularnewline
150 & 84.6 & 89.3419776102565 & -4.74197761025647 \tabularnewline
151 & 86.2 & 83.8173410392134 & 2.38265896078661 \tabularnewline
152 & 83.4 & 85.3856721573506 & -1.98567215735062 \tabularnewline
153 & 82.9 & 82.5637798191888 & 0.336220180811225 \tabularnewline
154 & 81.8 & 82.0188020141449 & -0.218802014144885 \tabularnewline
155 & 87.6 & 80.9186566094856 & 6.68134339051439 \tabularnewline
156 & 94.6 & 87.0322704654571 & 7.56772953454291 \tabularnewline
157 & 99.6 & 94.6006980928816 & 4.99930190711838 \tabularnewline
158 & 96.7 & 100.073252635318 & -3.37325263531756 \tabularnewline
159 & 99.8 & 97.1653438919644 & 2.63465610803557 \tabularnewline
160 & 83.8 & 100.287872491989 & -16.4878724919889 \tabularnewline
161 & 82.4 & 83.5784058280594 & -1.17840582805937 \tabularnewline
162 & 86.8 & 81.6145801833341 & 5.18541981666587 \tabularnewline
163 & 91 & 86.2269432704992 & 4.77305672950078 \tabularnewline
164 & 85.3 & 90.8153474420764 & -5.51534744207638 \tabularnewline
165 & 83.6 & 84.9977715069953 & -1.39777150699535 \tabularnewline
166 & 94 & 83.0610483400246 & 10.9389516599754 \tabularnewline
167 & 100.3 & 93.9425227234942 & 6.35747727650578 \tabularnewline
168 & 107.1 & 100.883928050173 & 6.21607194982731 \tabularnewline
169 & 100.7 & 108.177583340849 & -7.47758334084895 \tabularnewline
170 & 95.5 & 101.610326284145 & -6.11032628414469 \tabularnewline
171 & 92.9 & 95.8872758945161 & -2.98727589451613 \tabularnewline
172 & 79.2 & 92.9560344630378 & -13.7560344630378 \tabularnewline
173 & 82 & 78.5045649438603 & 3.49543505613973 \tabularnewline
174 & 79.3 & 81.0488906844916 & -1.74889068449158 \tabularnewline
175 & 81.5 & 78.3725908453992 & 3.12740915460081 \tabularnewline
176 & 76 & 80.6687261529573 & -4.66872615295728 \tabularnewline
177 & 73.1 & 75.041106726695 & -1.94110672669503 \tabularnewline
178 & 80.4 & 71.9043827997598 & 8.49561720024022 \tabularnewline
179 & 82.1 & 79.5519899014843 & 2.54801009851568 \tabularnewline
180 & 90.5 & 81.6355645842525 & 8.86443541574745 \tabularnewline
181 & 98.1 & 90.5389835437775 & 7.56101645622253 \tabularnewline
182 & 89.5 & 98.7742621843842 & -9.27426218438421 \tabularnewline
183 & 86.5 & 89.9622442722768 & -3.46224427227681 \tabularnewline
184 & 77 & 86.5108767604226 & -9.51087676042256 \tabularnewline
185 & 74.7 & 76.4483326457893 & -1.7483326457893 \tabularnewline
186 & 73.4 & 73.7718604749901 & -0.371860474990086 \tabularnewline
187 & 72.5 & 72.4002356006382 & 0.0997643993617885 \tabularnewline
188 & 69.3 & 71.4935769433818 & -2.19357694338181 \tabularnewline
189 & 75.2 & 68.1914725551369 & 7.00852744486312 \tabularnewline
190 & 83.5 & 74.3600106598186 & 9.13998934018143 \tabularnewline
191 & 90.5 & 83.3138897962156 & 7.18611020378437 \tabularnewline
192 & 92.2 & 90.9396717204035 & 1.26032827959652 \tabularnewline
193 & 110.5 & 92.9212136921296 & 17.5787863078704 \tabularnewline
194 & 101.8 & 112.102832871501 & -10.3028328715009 \tabularnewline
195 & 107.4 & 103.449741535714 & 3.95025846428648 \tabularnewline
196 & 95.5 & 108.922128069411 & -13.4221280694114 \tabularnewline
197 & 84.5 & 96.5001333545143 & -12.0001333545143 \tabularnewline
198 & 81.1 & 84.5117766696648 & -3.41177666966485 \tabularnewline
199 & 86.2 & 80.5789549158605 & 5.62104508413945 \tabularnewline
200 & 91.5 & 85.8434847223356 & 5.65651527766438 \tabularnewline
201 & 84.7 & 91.5876515613298 & -6.8876515613298 \tabularnewline
202 & 92.2 & 84.6314622666079 & 7.56853773339213 \tabularnewline
203 & 99.2 & 92.2824160183329 & 6.91758398166708 \tabularnewline
204 & 104.5 & 99.846970132585 & 4.653029867415 \tabularnewline
205 & 113 & 105.582917457767 & 7.41708254223255 \tabularnewline
206 & 100.4 & 114.581711697914 & -14.1817116979142 \tabularnewline
207 & 101 & 101.529970499083 & -0.529970499083134 \tabularnewline
208 & 84.8 & 101.668194647243 & -16.8681946472434 \tabularnewline
209 & 86.5 & 84.6431185950226 & 1.85688140497736 \tabularnewline
210 & 91.7 & 85.9131216582841 & 5.78687834171589 \tabularnewline
211 & 94.8 & 91.4477171032031 & 3.35228289679685 \tabularnewline
212 & 95 & 94.8865069377198 & 0.113493062280199 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314236&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]96.5[/C][C]80.1[/C][C]16.4[/C][/ROW]
[ROW][C]4[/C][C]89.5[/C][C]88.486320824895[/C][C]1.01367917510497[/C][/ROW]
[ROW][C]5[/C][C]85.4[/C][C]82.039544619044[/C][C]3.36045538095601[/C][/ROW]
[ROW][C]6[/C][C]84.3[/C][C]78.1318568378744[/C][C]6.16814316212563[/C][/ROW]
[ROW][C]7[/C][C]83.7[/C][C]77.4309969337861[/C][C]6.26900306621386[/C][/ROW]
[ROW][C]8[/C][C]86.2[/C][C]77.3213643444391[/C][C]8.87863565556094[/C][/ROW]
[ROW][C]9[/C][C]90.7[/C][C]80.4399576410663[/C][C]10.2600423589337[/C][/ROW]
[ROW][C]10[/C][C]95.7[/C][C]85.7050817707614[/C][C]9.99491822923856[/C][/ROW]
[ROW][C]11[/C][C]95.6[/C][C]91.499999494796[/C][C]4.10000050520404[/C][/ROW]
[ROW][C]12[/C][C]97[/C][C]91.9041194192681[/C][C]5.09588058073189[/C][/ROW]
[ROW][C]13[/C][C]97.2[/C][C]93.6746039053333[/C][C]3.52539609466673[/C][/ROW]
[ROW][C]14[/C][C]86.6[/C][C]94.2004321643325[/C][C]-7.60043216433247[/C][/ROW]
[ROW][C]15[/C][C]88.4[/C][C]83.3444939143818[/C][C]5.05550608561818[/C][/ROW]
[ROW][C]16[/C][C]81.4[/C][C]85.1530248880286[/C][C]-3.75302488802862[/C][/ROW]
[ROW][C]17[/C][C]86.9[/C][C]78.1286368158841[/C][C]8.77136318411593[/C][/ROW]
[ROW][C]18[/C][C]84.9[/C][C]83.9337129349925[/C][C]0.966287065007535[/C][/ROW]
[ROW][C]19[/C][C]83.7[/C][C]82.2499343007651[/C][C]1.4500656992349[/C][/ROW]
[ROW][C]20[/C][C]86.8[/C][C]81.1491919909516[/C][C]5.65080800904845[/C][/ROW]
[ROW][C]21[/C][C]88.3[/C][C]84.56474579549[/C][C]3.73525420451003[/C][/ROW]
[ROW][C]22[/C][C]92.5[/C][C]86.4177108918611[/C][C]6.08228910813894[/C][/ROW]
[ROW][C]23[/C][C]94.7[/C][C]91.0242670077252[/C][C]3.67573299227477[/C][/ROW]
[ROW][C]24[/C][C]94.5[/C][C]93.5876547800702[/C][C]0.91234521992979[/C][/ROW]
[ROW][C]25[/C][C]98.7[/C][C]93.5444992966454[/C][C]5.1555007033546[/C][/ROW]
[ROW][C]26[/C][C]88.6[/C][C]98.0197594558779[/C][C]-9.41975945587787[/C][/ROW]
[ROW][C]27[/C][C]95.2[/C][C]87.6267487031035[/C][C]7.57325129689652[/C][/ROW]
[ROW][C]28[/C][C]91.3[/C][C]94.300016491405[/C][C]-3.00001649140505[/C][/ROW]
[ROW][C]29[/C][C]91.7[/C][C]90.4892024825283[/C][C]1.21079751747173[/C][/ROW]
[ROW][C]30[/C][C]89.3[/C][C]90.8549465297786[/C][C]-1.55494652977863[/C][/ROW]
[ROW][C]31[/C][C]88.7[/C][C]88.4176482166225[/C][C]0.28235178337755[/C][/ROW]
[ROW][C]32[/C][C]91.2[/C][C]87.7833408740647[/C][C]3.41665912593534[/C][/ROW]
[ROW][C]33[/C][C]88.6[/C][C]90.4558452041081[/C][C]-1.85584520410814[/C][/ROW]
[ROW][C]34[/C][C]94.6[/C][C]87.8719933773977[/C][C]6.72800662260228[/C][/ROW]
[ROW][C]35[/C][C]96[/C][C]94.1374733933252[/C][C]1.86252660667482[/C][/ROW]
[ROW][C]36[/C][C]94.3[/C][C]95.8337929353463[/C][C]-1.53379293534627[/C][/ROW]
[ROW][C]37[/C][C]102[/C][C]94.1175623078862[/C][C]7.88243769211381[/C][/ROW]
[ROW][C]38[/C][C]93.4[/C][C]102.148302549495[/C][C]-8.74830254949485[/C][/ROW]
[ROW][C]39[/C][C]96.7[/C][C]93.3713925088204[/C][C]3.3286074911796[/C][/ROW]
[ROW][C]40[/C][C]93.7[/C][C]96.5618054066518[/C][C]-2.86180540665177[/C][/ROW]
[ROW][C]41[/C][C]91.6[/C][C]93.5270121038809[/C][C]-1.9270121038809[/C][/ROW]
[ROW][C]42[/C][C]89.6[/C][C]91.2465622023482[/C][C]-1.64656220234818[/C][/ROW]
[ROW][C]43[/C][C]92.9[/C][C]89.1083220831049[/C][C]3.79167791689515[/C][/ROW]
[ROW][C]44[/C][C]94.1[/C][C]92.5394552880339[/C][C]1.56054471196613[/C][/ROW]
[ROW][C]45[/C][C]92[/C][C]93.9309462110204[/C][C]-1.93094621102044[/C][/ROW]
[ROW][C]46[/C][C]97.5[/C][C]91.7863816531532[/C][C]5.71361834684681[/C][/ROW]
[ROW][C]47[/C][C]92.7[/C][C]97.5009145830339[/C][C]-4.8009145830339[/C][/ROW]
[ROW][C]48[/C][C]100.7[/C][C]92.6465338359067[/C][C]8.05346616409329[/C][/ROW]
[ROW][C]49[/C][C]105.9[/C][C]100.8849462304[/C][C]5.01505376960023[/C][/ROW]
[ROW][C]50[/C][C]95.3[/C][C]106.573201942424[/C][C]-11.2732019424244[/C][/ROW]
[ROW][C]51[/C][C]99.8[/C][C]95.587003813293[/C][C]4.21299618670697[/C][/ROW]
[ROW][C]52[/C][C]91.3[/C][C]99.9421297989573[/C][C]-8.64212979895734[/C][/ROW]
[ROW][C]53[/C][C]90.8[/C][C]91.1574030899071[/C][C]-0.357403089907137[/C][/ROW]
[ROW][C]54[/C][C]87.1[/C][C]90.3743519740611[/C][C]-3.27435197406112[/C][/ROW]
[ROW][C]55[/C][C]91.4[/C][C]86.5063614593544[/C][C]4.8936385406456[/C][/ROW]
[ROW][C]56[/C][C]86.1[/C][C]90.9402432504374[/C][C]-4.84024325043737[/C][/ROW]
[ROW][C]57[/C][C]87.1[/C][C]85.5587463802056[/C][C]1.54125361979435[/C][/ROW]
[ROW][C]58[/C][C]92.6[/C][C]86.48371155322[/C][C]6.11628844678[/C][/ROW]
[ROW][C]59[/C][C]96.6[/C][C]92.3243892815537[/C][C]4.27561071844629[/C][/ROW]
[ROW][C]60[/C][C]105.3[/C][C]96.7175851726148[/C][C]8.58241482738522[/C][/ROW]
[ROW][C]61[/C][C]102.4[/C][C]105.960639852599[/C][C]-3.56063985259902[/C][/ROW]
[ROW][C]62[/C][C]98.2[/C][C]103.153997540447[/C][C]-4.95399754044747[/C][/ROW]
[ROW][C]63[/C][C]98.6[/C][C]98.6069117488867[/C][C]-0.00691174888673629[/C][/ROW]
[ROW][C]64[/C][C]92.6[/C][C]98.8541478039592[/C][C]-6.25414780395917[/C][/ROW]
[ROW][C]65[/C][C]87.9[/C][C]92.554071311425[/C][C]-4.65407131142504[/C][/ROW]
[ROW][C]66[/C][C]84.1[/C][C]87.4384877224289[/C][C]-3.33848772242887[/C][/ROW]
[ROW][C]67[/C][C]86.7[/C][C]83.3352153425287[/C][C]3.36478465747129[/C][/ROW]
[ROW][C]68[/C][C]84.4[/C][C]85.9938206746866[/C][C]-1.59382067468663[/C][/ROW]
[ROW][C]69[/C][C]86[/C][C]83.7209358217688[/C][C]2.2790641782312[/C][/ROW]
[ROW][C]70[/C][C]90.4[/C][C]85.3811674918154[/C][C]5.01883250818457[/C][/ROW]
[ROW][C]71[/C][C]92.9[/C][C]90.0919283078221[/C][C]2.80807169217795[/C][/ROW]
[ROW][C]72[/C][C]105.8[/C][C]92.8809927111784[/C][C]12.9190072888216[/C][/ROW]
[ROW][C]73[/C][C]106[/C][C]106.48681575488[/C][C]-0.486815754879984[/C][/ROW]
[ROW][C]74[/C][C]99.1[/C][C]107.060987457726[/C][C]-7.96098745772564[/C][/ROW]
[ROW][C]75[/C][C]99.9[/C][C]99.7643077053858[/C][C]0.135692294614188[/C][/ROW]
[ROW][C]76[/C][C]88.1[/C][C]100.325857215363[/C][C]-12.2258572153629[/C][/ROW]
[ROW][C]77[/C][C]87.8[/C][C]87.943846674107[/C][C]-0.143846674106953[/C][/ROW]
[ROW][C]78[/C][C]87.1[/C][C]87.2607649378997[/C][C]-0.1607649378997[/C][/ROW]
[ROW][C]79[/C][C]85.9[/C][C]86.5486307337461[/C][C]-0.648630733746103[/C][/ROW]
[ROW][C]80[/C][C]86.5[/C][C]85.3125845567097[/C][C]1.18741544329026[/C][/ROW]
[ROW][C]81[/C][C]84.1[/C][C]85.9495587307436[/C][C]-1.84955873074365[/C][/ROW]
[ROW][C]82[/C][C]92.1[/C][C]83.4974153683766[/C][C]8.60258463162342[/C][/ROW]
[ROW][C]83[/C][C]93.3[/C][C]91.8529680682202[/C][C]1.44703193177983[/C][/ROW]
[ROW][C]84[/C][C]98.9[/C][C]93.3870461661831[/C][C]5.51295383381691[/C][/ROW]
[ROW][C]85[/C][C]103[/C][C]99.2958970126011[/C][C]3.70410298739887[/C][/ROW]
[ROW][C]86[/C][C]98.4[/C][C]103.743126801882[/C][C]-5.3431268018815[/C][/ROW]
[ROW][C]87[/C][C]100.7[/C][C]99.0009169398102[/C][C]1.69908306018979[/C][/ROW]
[ROW][C]88[/C][C]92.3[/C][C]101.217975936359[/C][C]-8.9179759363586[/C][/ROW]
[ROW][C]89[/C][C]89[/C][C]92.4426712843928[/C][C]-3.4426712843928[/C][/ROW]
[ROW][C]90[/C][C]88.9[/C][C]88.7032050140912[/C][C]0.196794985908809[/C][/ROW]
[ROW][C]91[/C][C]85.5[/C][C]88.5067109852251[/C][C]-3.00671098522514[/C][/ROW]
[ROW][C]92[/C][C]90.1[/C][C]84.9686053465547[/C][C]5.13139465344527[/C][/ROW]
[ROW][C]93[/C][C]87[/C][C]89.722121893091[/C][C]-2.72212189309104[/C][/ROW]
[ROW][C]94[/C][C]97.1[/C][C]86.6494969611279[/C][C]10.4505030388721[/C][/ROW]
[ROW][C]95[/C][C]101.5[/C][C]97.1668022563189[/C][C]4.33319774368111[/C][/ROW]
[ROW][C]96[/C][C]103[/C][C]102.096121311951[/C][C]0.903878688049289[/C][/ROW]
[ROW][C]97[/C][C]106.1[/C][C]103.772789820107[/C][C]2.32721017989316[/C][/ROW]
[ROW][C]98[/C][C]96.1[/C][C]107.012183142036[/C][C]-10.9121831420364[/C][/ROW]
[ROW][C]99[/C][C]94.2[/C][C]96.5605906740052[/C][C]-2.36059067400518[/C][/ROW]
[ROW][C]100[/C][C]89.1[/C][C]94.2116452949432[/C][C]-5.11164529494323[/C][/ROW]
[ROW][C]101[/C][C]85.2[/C][C]88.7939259025641[/C][C]-3.59392590256405[/C][/ROW]
[ROW][C]102[/C][C]86.5[/C][C]84.564326812506[/C][C]1.93567318749396[/C][/ROW]
[ROW][C]103[/C][C]88[/C][C]85.8465516741412[/C][C]2.15344832585882[/C][/ROW]
[ROW][C]104[/C][C]88.4[/C][C]87.5093616521697[/C][C]0.890638347830318[/C][/ROW]
[ROW][C]105[/C][C]87.9[/C][C]88.0183253034337[/C][C]-0.118325303433721[/C][/ROW]
[ROW][C]106[/C][C]95.7[/C][C]87.5400566229627[/C][C]8.15994337703727[/C][/ROW]
[ROW][C]107[/C][C]94.8[/C][C]95.7276556419289[/C][C]-0.927655641928922[/C][/ROW]
[ROW][C]108[/C][C]105.2[/C][C]95.0342561422514[/C][C]10.1657438577486[/C][/ROW]
[ROW][C]109[/C][C]108.7[/C][C]105.893123281376[/C][C]2.80687671862428[/C][/ROW]
[ROW][C]110[/C][C]96.1[/C][C]109.840498823432[/C][C]-13.7404988234316[/C][/ROW]
[ROW][C]111[/C][C]98.3[/C][C]96.6680579740313[/C][C]1.63194202596871[/C][/ROW]
[ROW][C]112[/C][C]88.6[/C][C]98.5235139732992[/C][C]-9.92351397329918[/C][/ROW]
[ROW][C]113[/C][C]90.8[/C][C]88.397931497526[/C][C]2.40206850247397[/C][/ROW]
[ROW][C]114[/C][C]88.1[/C][C]90.4077594017673[/C][C]-2.30775940176733[/C][/ROW]
[ROW][C]115[/C][C]91.9[/C][C]87.6710213663499[/C][C]4.22897863365014[/C][/ROW]
[ROW][C]116[/C][C]98.5[/C][C]91.6027767855728[/C][C]6.8972232144272[/C][/ROW]
[ROW][C]117[/C][C]98.6[/C][C]98.663597757421[/C][C]-0.0635977574210074[/C][/ROW]
[ROW][C]118[/C][C]100.3[/C][C]98.9727733139261[/C][C]1.32722668607387[/C][/ROW]
[ROW][C]119[/C][C]98.7[/C][C]100.734452166647[/C][C]-2.03445216664716[/C][/ROW]
[ROW][C]120[/C][C]110.7[/C][C]99.0777457679965[/C][C]11.6222542320035[/C][/ROW]
[ROW][C]121[/C][C]115.4[/C][C]111.572391631352[/C][C]3.82760836864844[/C][/ROW]
[ROW][C]122[/C][C]105.4[/C][C]116.813523823059[/C][C]-11.4135238230585[/C][/ROW]
[ROW][C]123[/C][C]108[/C][C]106.384060539156[/C][C]1.61593946084376[/C][/ROW]
[ROW][C]124[/C][C]94.5[/C][C]108.710349376661[/C][C]-14.2103493766607[/C][/ROW]
[ROW][C]125[/C][C]96.5[/C][C]94.5787362185984[/C][C]1.92126378140165[/C][/ROW]
[ROW][C]126[/C][C]91[/C][C]96.2336070357846[/C][C]-5.23360703578457[/C][/ROW]
[ROW][C]127[/C][C]94.1[/C][C]90.5417909917315[/C][C]3.55820900826848[/C][/ROW]
[ROW][C]128[/C][C]96.4[/C][C]93.6513582493525[/C][C]2.74864175064752[/C][/ROW]
[ROW][C]129[/C][C]93.1[/C][C]96.1926303921193[/C][C]-3.09263039211929[/C][/ROW]
[ROW][C]130[/C][C]97.5[/C][C]92.8289245469468[/C][C]4.67107545305323[/C][/ROW]
[ROW][C]131[/C][C]102.5[/C][C]97.3577267424839[/C][C]5.14227325751607[/C][/ROW]
[ROW][C]132[/C][C]105.7[/C][C]102.748007341039[/C][C]2.95199265896115[/C][/ROW]
[ROW][C]133[/C][C]109.1[/C][C]106.247770458649[/C][C]2.85222954135072[/C][/ROW]
[ROW][C]134[/C][C]97.2[/C][C]109.875356224107[/C][C]-12.6753562241066[/C][/ROW]
[ROW][C]135[/C][C]100.3[/C][C]97.4553806075335[/C][C]2.84461939246646[/C][/ROW]
[ROW][C]136[/C][C]91.3[/C][C]100.30175412881[/C][C]-9.00175412880991[/C][/ROW]
[ROW][C]137[/C][C]94.3[/C][C]90.9576803161939[/C][C]3.34231968380607[/C][/ROW]
[ROW][C]138[/C][C]89.5[/C][C]93.8409520589972[/C][C]-4.3409520589972[/C][/ROW]
[ROW][C]139[/C][C]89.3[/C][C]88.9356609301216[/C][C]0.364339069878383[/C][/ROW]
[ROW][C]140[/C][C]93.4[/C][C]88.6195602902009[/C][C]4.78043970979913[/C][/ROW]
[ROW][C]141[/C][C]91.9[/C][C]92.9599756948827[/C][C]-1.05997569488265[/C][/ROW]
[ROW][C]142[/C][C]92.9[/C][C]91.556245930431[/C][C]1.34375406956904[/C][/ROW]
[ROW][C]143[/C][C]93.7[/C][C]92.5880590551815[/C][C]1.11194094481851[/C][/ROW]
[ROW][C]144[/C][C]100.1[/C][C]93.4827193943653[/C][C]6.61728060563473[/C][/ROW]
[ROW][C]145[/C][C]105.5[/C][C]100.234208107238[/C][C]5.26579189276156[/C][/ROW]
[ROW][C]146[/C][C]110.5[/C][C]106.090294944041[/C][C]4.40970505595924[/C][/ROW]
[ROW][C]147[/C][C]89.5[/C][C]111.463750731031[/C][C]-21.9637507310306[/C][/ROW]
[ROW][C]148[/C][C]90.4[/C][C]89.5463530202342[/C][C]0.853646979765784[/C][/ROW]
[ROW][C]149[/C][C]89.9[/C][C]89.8114663606301[/C][C]0.0885336393699134[/C][/ROW]
[ROW][C]150[/C][C]84.6[/C][C]89.3419776102565[/C][C]-4.74197761025647[/C][/ROW]
[ROW][C]151[/C][C]86.2[/C][C]83.8173410392134[/C][C]2.38265896078661[/C][/ROW]
[ROW][C]152[/C][C]83.4[/C][C]85.3856721573506[/C][C]-1.98567215735062[/C][/ROW]
[ROW][C]153[/C][C]82.9[/C][C]82.5637798191888[/C][C]0.336220180811225[/C][/ROW]
[ROW][C]154[/C][C]81.8[/C][C]82.0188020141449[/C][C]-0.218802014144885[/C][/ROW]
[ROW][C]155[/C][C]87.6[/C][C]80.9186566094856[/C][C]6.68134339051439[/C][/ROW]
[ROW][C]156[/C][C]94.6[/C][C]87.0322704654571[/C][C]7.56772953454291[/C][/ROW]
[ROW][C]157[/C][C]99.6[/C][C]94.6006980928816[/C][C]4.99930190711838[/C][/ROW]
[ROW][C]158[/C][C]96.7[/C][C]100.073252635318[/C][C]-3.37325263531756[/C][/ROW]
[ROW][C]159[/C][C]99.8[/C][C]97.1653438919644[/C][C]2.63465610803557[/C][/ROW]
[ROW][C]160[/C][C]83.8[/C][C]100.287872491989[/C][C]-16.4878724919889[/C][/ROW]
[ROW][C]161[/C][C]82.4[/C][C]83.5784058280594[/C][C]-1.17840582805937[/C][/ROW]
[ROW][C]162[/C][C]86.8[/C][C]81.6145801833341[/C][C]5.18541981666587[/C][/ROW]
[ROW][C]163[/C][C]91[/C][C]86.2269432704992[/C][C]4.77305672950078[/C][/ROW]
[ROW][C]164[/C][C]85.3[/C][C]90.8153474420764[/C][C]-5.51534744207638[/C][/ROW]
[ROW][C]165[/C][C]83.6[/C][C]84.9977715069953[/C][C]-1.39777150699535[/C][/ROW]
[ROW][C]166[/C][C]94[/C][C]83.0610483400246[/C][C]10.9389516599754[/C][/ROW]
[ROW][C]167[/C][C]100.3[/C][C]93.9425227234942[/C][C]6.35747727650578[/C][/ROW]
[ROW][C]168[/C][C]107.1[/C][C]100.883928050173[/C][C]6.21607194982731[/C][/ROW]
[ROW][C]169[/C][C]100.7[/C][C]108.177583340849[/C][C]-7.47758334084895[/C][/ROW]
[ROW][C]170[/C][C]95.5[/C][C]101.610326284145[/C][C]-6.11032628414469[/C][/ROW]
[ROW][C]171[/C][C]92.9[/C][C]95.8872758945161[/C][C]-2.98727589451613[/C][/ROW]
[ROW][C]172[/C][C]79.2[/C][C]92.9560344630378[/C][C]-13.7560344630378[/C][/ROW]
[ROW][C]173[/C][C]82[/C][C]78.5045649438603[/C][C]3.49543505613973[/C][/ROW]
[ROW][C]174[/C][C]79.3[/C][C]81.0488906844916[/C][C]-1.74889068449158[/C][/ROW]
[ROW][C]175[/C][C]81.5[/C][C]78.3725908453992[/C][C]3.12740915460081[/C][/ROW]
[ROW][C]176[/C][C]76[/C][C]80.6687261529573[/C][C]-4.66872615295728[/C][/ROW]
[ROW][C]177[/C][C]73.1[/C][C]75.041106726695[/C][C]-1.94110672669503[/C][/ROW]
[ROW][C]178[/C][C]80.4[/C][C]71.9043827997598[/C][C]8.49561720024022[/C][/ROW]
[ROW][C]179[/C][C]82.1[/C][C]79.5519899014843[/C][C]2.54801009851568[/C][/ROW]
[ROW][C]180[/C][C]90.5[/C][C]81.6355645842525[/C][C]8.86443541574745[/C][/ROW]
[ROW][C]181[/C][C]98.1[/C][C]90.5389835437775[/C][C]7.56101645622253[/C][/ROW]
[ROW][C]182[/C][C]89.5[/C][C]98.7742621843842[/C][C]-9.27426218438421[/C][/ROW]
[ROW][C]183[/C][C]86.5[/C][C]89.9622442722768[/C][C]-3.46224427227681[/C][/ROW]
[ROW][C]184[/C][C]77[/C][C]86.5108767604226[/C][C]-9.51087676042256[/C][/ROW]
[ROW][C]185[/C][C]74.7[/C][C]76.4483326457893[/C][C]-1.7483326457893[/C][/ROW]
[ROW][C]186[/C][C]73.4[/C][C]73.7718604749901[/C][C]-0.371860474990086[/C][/ROW]
[ROW][C]187[/C][C]72.5[/C][C]72.4002356006382[/C][C]0.0997643993617885[/C][/ROW]
[ROW][C]188[/C][C]69.3[/C][C]71.4935769433818[/C][C]-2.19357694338181[/C][/ROW]
[ROW][C]189[/C][C]75.2[/C][C]68.1914725551369[/C][C]7.00852744486312[/C][/ROW]
[ROW][C]190[/C][C]83.5[/C][C]74.3600106598186[/C][C]9.13998934018143[/C][/ROW]
[ROW][C]191[/C][C]90.5[/C][C]83.3138897962156[/C][C]7.18611020378437[/C][/ROW]
[ROW][C]192[/C][C]92.2[/C][C]90.9396717204035[/C][C]1.26032827959652[/C][/ROW]
[ROW][C]193[/C][C]110.5[/C][C]92.9212136921296[/C][C]17.5787863078704[/C][/ROW]
[ROW][C]194[/C][C]101.8[/C][C]112.102832871501[/C][C]-10.3028328715009[/C][/ROW]
[ROW][C]195[/C][C]107.4[/C][C]103.449741535714[/C][C]3.95025846428648[/C][/ROW]
[ROW][C]196[/C][C]95.5[/C][C]108.922128069411[/C][C]-13.4221280694114[/C][/ROW]
[ROW][C]197[/C][C]84.5[/C][C]96.5001333545143[/C][C]-12.0001333545143[/C][/ROW]
[ROW][C]198[/C][C]81.1[/C][C]84.5117766696648[/C][C]-3.41177666966485[/C][/ROW]
[ROW][C]199[/C][C]86.2[/C][C]80.5789549158605[/C][C]5.62104508413945[/C][/ROW]
[ROW][C]200[/C][C]91.5[/C][C]85.8434847223356[/C][C]5.65651527766438[/C][/ROW]
[ROW][C]201[/C][C]84.7[/C][C]91.5876515613298[/C][C]-6.8876515613298[/C][/ROW]
[ROW][C]202[/C][C]92.2[/C][C]84.6314622666079[/C][C]7.56853773339213[/C][/ROW]
[ROW][C]203[/C][C]99.2[/C][C]92.2824160183329[/C][C]6.91758398166708[/C][/ROW]
[ROW][C]204[/C][C]104.5[/C][C]99.846970132585[/C][C]4.653029867415[/C][/ROW]
[ROW][C]205[/C][C]113[/C][C]105.582917457767[/C][C]7.41708254223255[/C][/ROW]
[ROW][C]206[/C][C]100.4[/C][C]114.581711697914[/C][C]-14.1817116979142[/C][/ROW]
[ROW][C]207[/C][C]101[/C][C]101.529970499083[/C][C]-0.529970499083134[/C][/ROW]
[ROW][C]208[/C][C]84.8[/C][C]101.668194647243[/C][C]-16.8681946472434[/C][/ROW]
[ROW][C]209[/C][C]86.5[/C][C]84.6431185950226[/C][C]1.85688140497736[/C][/ROW]
[ROW][C]210[/C][C]91.7[/C][C]85.9131216582841[/C][C]5.78687834171589[/C][/ROW]
[ROW][C]211[/C][C]94.8[/C][C]91.4477171032031[/C][C]3.35228289679685[/C][/ROW]
[ROW][C]212[/C][C]95[/C][C]94.8865069377198[/C][C]0.113493062280199[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314236&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314236&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
396.580.116.4
489.588.4863208248951.01367917510497
585.482.0395446190443.36045538095601
684.378.13185683787446.16814316212563
783.777.43099693378616.26900306621386
886.277.32136434443918.87863565556094
990.780.439957641066310.2600423589337
1095.785.70508177076149.99491822923856
1195.691.4999994947964.10000050520404
129791.90411941926815.09588058073189
1397.293.67460390533333.52539609466673
1486.694.2004321643325-7.60043216433247
1588.483.34449391438185.05550608561818
1681.485.1530248880286-3.75302488802862
1786.978.12863681588418.77136318411593
1884.983.93371293499250.966287065007535
1983.782.24993430076511.4500656992349
2086.881.14919199095165.65080800904845
2188.384.564745795493.73525420451003
2292.586.41771089186116.08228910813894
2394.791.02426700772523.67573299227477
2494.593.58765478007020.91234521992979
2598.793.54449929664545.1555007033546
2688.698.0197594558779-9.41975945587787
2795.287.62674870310357.57325129689652
2891.394.300016491405-3.00001649140505
2991.790.48920248252831.21079751747173
3089.390.8549465297786-1.55494652977863
3188.788.41764821662250.28235178337755
3291.287.78334087406473.41665912593534
3388.690.4558452041081-1.85584520410814
3494.687.87199337739776.72800662260228
359694.13747339332521.86252660667482
3694.395.8337929353463-1.53379293534627
3710294.11756230788627.88243769211381
3893.4102.148302549495-8.74830254949485
3996.793.37139250882043.3286074911796
4093.796.5618054066518-2.86180540665177
4191.693.5270121038809-1.9270121038809
4289.691.2465622023482-1.64656220234818
4392.989.10832208310493.79167791689515
4494.192.53945528803391.56054471196613
459293.9309462110204-1.93094621102044
4697.591.78638165315325.71361834684681
4792.797.5009145830339-4.8009145830339
48100.792.64653383590678.05346616409329
49105.9100.88494623045.01505376960023
5095.3106.573201942424-11.2732019424244
5199.895.5870038132934.21299618670697
5291.399.9421297989573-8.64212979895734
5390.891.1574030899071-0.357403089907137
5487.190.3743519740611-3.27435197406112
5591.486.50636145935444.8936385406456
5686.190.9402432504374-4.84024325043737
5787.185.55874638020561.54125361979435
5892.686.483711553226.11628844678
5996.692.32438928155374.27561071844629
60105.396.71758517261488.58241482738522
61102.4105.960639852599-3.56063985259902
6298.2103.153997540447-4.95399754044747
6398.698.6069117488867-0.00691174888673629
6492.698.8541478039592-6.25414780395917
6587.992.554071311425-4.65407131142504
6684.187.4384877224289-3.33848772242887
6786.783.33521534252873.36478465747129
6884.485.9938206746866-1.59382067468663
698683.72093582176882.2790641782312
7090.485.38116749181545.01883250818457
7192.990.09192830782212.80807169217795
72105.892.880992711178412.9190072888216
73106106.48681575488-0.486815754879984
7499.1107.060987457726-7.96098745772564
7599.999.76430770538580.135692294614188
7688.1100.325857215363-12.2258572153629
7787.887.943846674107-0.143846674106953
7887.187.2607649378997-0.1607649378997
7985.986.5486307337461-0.648630733746103
8086.585.31258455670971.18741544329026
8184.185.9495587307436-1.84955873074365
8292.183.49741536837668.60258463162342
8393.391.85296806822021.44703193177983
8498.993.38704616618315.51295383381691
8510399.29589701260113.70410298739887
8698.4103.743126801882-5.3431268018815
87100.799.00091693981021.69908306018979
8892.3101.217975936359-8.9179759363586
898992.4426712843928-3.4426712843928
9088.988.70320501409120.196794985908809
9185.588.5067109852251-3.00671098522514
9290.184.96860534655475.13139465344527
938789.722121893091-2.72212189309104
9497.186.649496961127910.4505030388721
95101.597.16680225631894.33319774368111
96103102.0961213119510.903878688049289
97106.1103.7727898201072.32721017989316
9896.1107.012183142036-10.9121831420364
9994.296.5605906740052-2.36059067400518
10089.194.2116452949432-5.11164529494323
10185.288.7939259025641-3.59392590256405
10286.584.5643268125061.93567318749396
1038885.84655167414122.15344832585882
10488.487.50936165216970.890638347830318
10587.988.0183253034337-0.118325303433721
10695.787.54005662296278.15994337703727
10794.895.7276556419289-0.927655641928922
108105.295.034256142251410.1657438577486
109108.7105.8931232813762.80687671862428
11096.1109.840498823432-13.7404988234316
11198.396.66805797403131.63194202596871
11288.698.5235139732992-9.92351397329918
11390.888.3979314975262.40206850247397
11488.190.4077594017673-2.30775940176733
11591.987.67102136634994.22897863365014
11698.591.60277678557286.8972232144272
11798.698.663597757421-0.0635977574210074
118100.398.97277331392611.32722668607387
11998.7100.734452166647-2.03445216664716
120110.799.077745767996511.6222542320035
121115.4111.5723916313523.82760836864844
122105.4116.813523823059-11.4135238230585
123108106.3840605391561.61593946084376
12494.5108.710349376661-14.2103493766607
12596.594.57873621859841.92126378140165
1269196.2336070357846-5.23360703578457
12794.190.54179099173153.55820900826848
12896.493.65135824935252.74864175064752
12993.196.1926303921193-3.09263039211929
13097.592.82892454694684.67107545305323
131102.597.35772674248395.14227325751607
132105.7102.7480073410392.95199265896115
133109.1106.2477704586492.85222954135072
13497.2109.875356224107-12.6753562241066
135100.397.45538060753352.84461939246646
13691.3100.30175412881-9.00175412880991
13794.390.95768031619393.34231968380607
13889.593.8409520589972-4.3409520589972
13989.388.93566093012160.364339069878383
14093.488.61956029020094.78043970979913
14191.992.9599756948827-1.05997569488265
14292.991.5562459304311.34375406956904
14393.792.58805905518151.11194094481851
144100.193.48271939436536.61728060563473
145105.5100.2342081072385.26579189276156
146110.5106.0902949440414.40970505595924
14789.5111.463750731031-21.9637507310306
14890.489.54635302023420.853646979765784
14989.989.81146636063010.0885336393699134
15084.689.3419776102565-4.74197761025647
15186.283.81734103921342.38265896078661
15283.485.3856721573506-1.98567215735062
15382.982.56377981918880.336220180811225
15481.882.0188020141449-0.218802014144885
15587.680.91865660948566.68134339051439
15694.687.03227046545717.56772953454291
15799.694.60069809288164.99930190711838
15896.7100.073252635318-3.37325263531756
15999.897.16534389196442.63465610803557
16083.8100.287872491989-16.4878724919889
16182.483.5784058280594-1.17840582805937
16286.881.61458018333415.18541981666587
1639186.22694327049924.77305672950078
16485.390.8153474420764-5.51534744207638
16583.684.9977715069953-1.39777150699535
1669483.061048340024610.9389516599754
167100.393.94252272349426.35747727650578
168107.1100.8839280501736.21607194982731
169100.7108.177583340849-7.47758334084895
17095.5101.610326284145-6.11032628414469
17192.995.8872758945161-2.98727589451613
17279.292.9560344630378-13.7560344630378
1738278.50456494386033.49543505613973
17479.381.0488906844916-1.74889068449158
17581.578.37259084539923.12740915460081
1767680.6687261529573-4.66872615295728
17773.175.041106726695-1.94110672669503
17880.471.90438279975988.49561720024022
17982.179.55198990148432.54801009851568
18090.581.63556458425258.86443541574745
18198.190.53898354377757.56101645622253
18289.598.7742621843842-9.27426218438421
18386.589.9622442722768-3.46224427227681
1847786.5108767604226-9.51087676042256
18574.776.4483326457893-1.7483326457893
18673.473.7718604749901-0.371860474990086
18772.572.40023560063820.0997643993617885
18869.371.4935769433818-2.19357694338181
18975.268.19147255513697.00852744486312
19083.574.36001065981869.13998934018143
19190.583.31388979621567.18611020378437
19292.290.93967172040351.26032827959652
193110.592.921213692129617.5787863078704
194101.8112.102832871501-10.3028328715009
195107.4103.4497415357143.95025846428648
19695.5108.922128069411-13.4221280694114
19784.596.5001333545143-12.0001333545143
19881.184.5117766696648-3.41177666966485
19986.280.57895491586055.62104508413945
20091.585.84348472233565.65651527766438
20184.791.5876515613298-6.8876515613298
20292.284.63146226660797.56853773339213
20399.292.28241601833296.91758398166708
204104.599.8469701325854.653029867415
205113105.5829174577677.41708254223255
206100.4114.581711697914-14.1817116979142
207101101.529970499083-0.529970499083134
20884.8101.668194647243-16.8681946472434
20986.584.64311859502261.85688140497736
21091.785.91312165828415.78687834171589
21194.891.44771710320313.35228289679685
2129594.88650693771980.113493062280199







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21395.195096943847182.8080297473932107.582164140301
21495.393686024482977.4508507664047113.336521282561
21595.592275105118772.8608768721904118.323673338047
21695.790864185754568.5942779168233122.987450454686
21795.989453266390364.4829406117901127.49596592099
21896.188042347026160.4440070975638131.932077596488
21996.386631427661856.4306188783346136.342643976989
22096.585220508297652.4139348827501140.756506133845
22196.783809588933448.3751724855451145.192446692322
22296.982398669569244.301610507269149.663186831869
22397.18098775020540.1843927223252154.177582778085
22497.379576830840736.0172362488671158.741917412814

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 95.1950969438471 & 82.8080297473932 & 107.582164140301 \tabularnewline
214 & 95.3936860244829 & 77.4508507664047 & 113.336521282561 \tabularnewline
215 & 95.5922751051187 & 72.8608768721904 & 118.323673338047 \tabularnewline
216 & 95.7908641857545 & 68.5942779168233 & 122.987450454686 \tabularnewline
217 & 95.9894532663903 & 64.4829406117901 & 127.49596592099 \tabularnewline
218 & 96.1880423470261 & 60.4440070975638 & 131.932077596488 \tabularnewline
219 & 96.3866314276618 & 56.4306188783346 & 136.342643976989 \tabularnewline
220 & 96.5852205082976 & 52.4139348827501 & 140.756506133845 \tabularnewline
221 & 96.7838095889334 & 48.3751724855451 & 145.192446692322 \tabularnewline
222 & 96.9823986695692 & 44.301610507269 & 149.663186831869 \tabularnewline
223 & 97.180987750205 & 40.1843927223252 & 154.177582778085 \tabularnewline
224 & 97.3795768308407 & 36.0172362488671 & 158.741917412814 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=314236&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]95.1950969438471[/C][C]82.8080297473932[/C][C]107.582164140301[/C][/ROW]
[ROW][C]214[/C][C]95.3936860244829[/C][C]77.4508507664047[/C][C]113.336521282561[/C][/ROW]
[ROW][C]215[/C][C]95.5922751051187[/C][C]72.8608768721904[/C][C]118.323673338047[/C][/ROW]
[ROW][C]216[/C][C]95.7908641857545[/C][C]68.5942779168233[/C][C]122.987450454686[/C][/ROW]
[ROW][C]217[/C][C]95.9894532663903[/C][C]64.4829406117901[/C][C]127.49596592099[/C][/ROW]
[ROW][C]218[/C][C]96.1880423470261[/C][C]60.4440070975638[/C][C]131.932077596488[/C][/ROW]
[ROW][C]219[/C][C]96.3866314276618[/C][C]56.4306188783346[/C][C]136.342643976989[/C][/ROW]
[ROW][C]220[/C][C]96.5852205082976[/C][C]52.4139348827501[/C][C]140.756506133845[/C][/ROW]
[ROW][C]221[/C][C]96.7838095889334[/C][C]48.3751724855451[/C][C]145.192446692322[/C][/ROW]
[ROW][C]222[/C][C]96.9823986695692[/C][C]44.301610507269[/C][C]149.663186831869[/C][/ROW]
[ROW][C]223[/C][C]97.180987750205[/C][C]40.1843927223252[/C][C]154.177582778085[/C][/ROW]
[ROW][C]224[/C][C]97.3795768308407[/C][C]36.0172362488671[/C][C]158.741917412814[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=314236&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=314236&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
21395.195096943847182.8080297473932107.582164140301
21495.393686024482977.4508507664047113.336521282561
21595.592275105118772.8608768721904118.323673338047
21695.790864185754568.5942779168233122.987450454686
21795.989453266390364.4829406117901127.49596592099
21896.188042347026160.4440070975638131.932077596488
21996.386631427661856.4306188783346136.342643976989
22096.585220508297652.4139348827501140.756506133845
22196.783809588933448.3751724855451145.192446692322
22296.982398669569244.301610507269149.663186831869
22397.18098775020540.1843927223252154.177582778085
22497.379576830840736.0172362488671158.741917412814



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