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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 computationFri, 22 Dec 2017 15:47:37 +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/2017/Dec/22/t1513954622p67nmz4dsy7m1ur.htm/, Retrieved Wed, 15 May 2024 16:43:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310801, Retrieved Wed, 15 May 2024 16:43:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsDataset3
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2017-12-22 14:47:37] [02e100d22760f9e09756a00c2eb0ef89] [Current]
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Dataseries X:
112.7
122
134.7
109.8
130.8
118.7
104.4
87.8
134.2
143.9
140.4
111
126.3
124.4
136.1
118.4
127.4
127.9
115
90.2
131
143.3
131.5
98.5
124.9
122.4
128.8
125.9
120.2
120
116
89.2
135.9
148.7
128.1
100.9
125.5
119.8
120.7
125
109
114.2
105.6
80.1
131.1
136.6
119.7
102.4
114.5
112.9
131.8
118.7
107.1
127
104.6
85.9
134
127.6
121.5
104.5
107.3
111.9
120.7
116.9
106.1
122.3
97.8
82.7
128.2
119
127.4
106
108.7
113.5
131.4
111.3
119
130.7
104.5
88.9
135.4
140.6
138.8
107.4
120.8
124.1
139.2
119.9
121
133.7
115.2
96.7
131
147.6
132.9
97.4
123.6
124.9
118.6
127.6
110.2
115.4
106.6
75.5
116.7
118
98.7
81.5
87
86.8
96.8
92.7
82.1
94.1
89.7
67.5
102
103.2
95.6
83
87.2
94
107.7
103.3
94.8
112.7
96.8
75.9
116.7
111.4
108.6
90.9
92.6
95.7
116.7
95.4
105.1
99.7
89.8
74
108
102.1
100.2
83.2
87.9
93.3
98.5
84.5
89.3
94.2
83.5
67.5
89.4
102.4
92
65.9
85.3
87
91.8
88.5
89.1
89.8
88.9
64
93.2
100.1
89.3
68.1
94.3
93.3
98.1
96.8
87.8
95.6
95.7
64.4
108.1
109.6
90.9
75.6
93.5
98.1
104.5
102.7
89.6
108.8
95.4
70.1
104.6
105.5
96.8
79.4
92.3
96.8
103
99.5
91
103.4
82
70.1
98.1
95.7
98
77.3
89.8
91.6
106.5
87.5
99.5
104.4
84.5
68.3




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310801&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310801&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310801&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.136856367803817
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.136856367803817 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310801&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]0.136856367803817[/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=310801&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310801&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
alpha0.136856367803817
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2122112.79.3
3134.7113.97276422057520.7272357794245
4109.8116.809418423961-7.00941842396087
5130.8115.8501348780414.9498651219596
6118.7117.8961191177890.803880882211203
7104.4118.006135335475-13.6061353354751
887.8116.144049073615-28.3440490736149
9134.2112.26498546854721.9350145314532
10143.9115.26693188504528.6330681149546
11140.4119.18554958633721.2144504136626
12111122.088882214905-11.0888822149055
13126.3120.5712980719695.72870192803084
14124.4121.355307410073.04469258992984
15136.1121.77199297900714.3280070209928
16118.4123.732871977768-5.33287197776782
17127.4123.0030344889284.39696551107224
18127.9123.6047872181324.29521278186823
19115124.192614438403-9.19261443840279
2090.2122.934546615742-32.734546615742
21131118.45461546420712.5453845357931
22143.3120.17153122447823.1284687755223
23131.5123.336809453968.1631905460403
2498.5124.453994061781-25.9539940617812
25124.9120.9020247044843.99797529551599
26122.4121.4491730819980.950826918002278
27128.8121.5792998004067.22070019959439
28125.9122.5674986027223.3325013972776
29120.2123.023572639655-2.82357263965497
30120122.637148743962-2.63714874396156
31116122.276238145505-6.27623814550458
3289.2121.417294989439-32.2172949894391
33135.9117.0081530167218.8918469832797
34148.7119.59362257595729.1063774240425
35128.1123.5770156701394.52298432986106
36100.9124.196014877157-23.2960148771573
37125.5121.0078068967664.49219310323413
38119.8121.622592128348-1.82259212834786
39120.7121.373158789674-0.673158789674346
40125121.2810327227643.71896727723569
41109121.789997076308-12.789997076308
42114.2120.039604532223-5.83960453222309
43105.6119.240417466532-13.6404174665323
4480.1117.373639476735-37.273639476735
45131.1112.2725045631218.8274954368799
46136.6114.84916720345421.7508327965456
47119.7117.8259071766981.87409282330223
48102.4118.082388713422-15.6823887134221
49114.5115.936153955616-1.43615395561559
50112.9115.739607141643-2.83960714164296
51131.8115.35098882224816.4490111777521
52118.7117.6021407459991.09785925400054
53107.1117.752389775862-10.6523897758618
54127116.29454240270710.7054575972932
55104.6117.75965244515-13.1596524451502
5685.9115.958670209946-30.0586702099463
57134111.84494978422.1550502159998
58127.6114.87700948507312.7229905149268
59121.5116.6182317545484.88176824545154
60104.5117.286332825081-12.786332825081
61107.3115.53644175711-8.23644175710969
62111.9114.409232254604-2.50923225460397
63120.7114.0658278422636.6341721577373
64116.9114.9737565471561.92624345284415
65106.1115.237375229618-9.137375229618
66122.3113.9868672444328.31313275556808
6797.8115.12457239843-17.3245723984299
6882.7112.753594346227-30.0535943462265
69128.2108.64056858455319.5594314154473
70119111.3174013243797.68259867562136
71127.4112.36881387441915.0311861255814
72106114.425927411349-8.42592741134881
73108.7113.272785590453-4.57278559045299
74113.5112.6469707637980.853029236202033
75131.4112.76371324669518.636286753305
76111.3115.314207761103-4.01420776110275
77119114.7648378673084.23516213269167
78130.7115.34444677384915.3555532261512
79104.5117.445952013998-12.945952013998
8088.9115.6742160436-26.7742160435997
81135.4112.00999408507823.390005914922
82140.6115.21106533750425.388934662496
83138.8118.68570271782220.1142972821784
84107.4121.438472384787-14.0384723847868
85120.8119.5172180446911.28278195530932
86124.1119.6927749237794.40722507622141
87139.2120.29593173980418.9040682601958
88119.9122.88307385861-2.98307385860997
89121122.47482120543-1.47482120543009
90133.7122.27298253209511.4270174679051
91115.2123.836842637583-8.63684263758314
9296.7122.65483572491-25.9548357249104
93131119.10275118065411.8972488193456
94147.6120.73096544092826.8690345590717
95132.9124.4081639170788.49183608292194
9697.4125.570325759372-28.1703257593722
97123.6121.7150372960941.8849627039058
98124.9121.9730064451962.9269935548036
99118.6122.373584151692-3.77358415169202
100127.6121.8571451310895.7428548689106
101110.2122.643091389273-12.443091389273
102115.4120.940175097486-5.54017509748611
103106.6120.181966856647-13.581966856647
10475.5118.323188205014-42.8231882050145
105116.7112.4625622094974.23743779050305
106118113.04248255434.95751744570016
10798.7113.720950385242-15.0209503852424
10881.5111.665237674557-30.1652376745568
10987107.536932812478-20.5369328124781
11086.8104.726322781931-17.9263227819313
11196.8102.272991357917-5.47299135791742
11292.7101.523977639651-8.82397763965115
11382.1100.316360110306-18.2163601103064
11494.197.8233352310035-3.72333523100353
11589.797.3137730951724-7.61377309517241
11667.596.2717797640847-28.7717797640847
11710292.33417849032079.66582150967929
118103.293.65700771397549.54299228602459
11995.694.96302697622060.636973023779404
1208395.0502007906441-12.0502007906441
12187.293.4010540791298-6.20105407912983
1229492.55240034130511.44759965869491
123107.792.750513572628114.9494864273719
124103.394.79644598561078.50355401438931
12594.895.9602115014436-1.16021150144358
126112.795.801429169471816.8985708305282
12796.898.1141061944134-1.31410619441343
12875.997.9342623937375-22.0342623937375
129116.794.918733275294421.7812667247056
130111.497.899638325403713.5003616745963
131108.699.74724878822688.85275121177318
13290.9100.958804164141-10.0588041641409
13392.699.5821927617867-6.98219276178671
13495.798.6266352211025-2.92663522110247
135116.798.226106554855718.4738934451443
13695.4100.754376510953-5.35437651095285
137105.1100.021595989815.07840401019023
13899.7100.716607916885-1.01660791688475
13989.8100.577478649899-10.7774786498993
1407499.1025120677909-25.1025120677909
14110895.667073443441612.3329265565584
142102.197.35491297636344.7450870236366
143100.298.00430835133132.19569164866869
14483.298.3048027351853-15.1048027351853
14587.996.2376142964547-8.33761429645467
14693.395.0965586876927-1.79655868769272
14798.594.85068819114873.64931180885129
14884.595.3501197502917-10.8501197502917
14989.393.8652117710303-4.56521177103029
15094.293.24043346979190.95956653020815
15183.593.3717562597823-9.87175625978226
15267.592.0207435542239-24.5207435542239
15389.488.66492365554390.735076344456061
154102.488.765523534104713.6344764658953
1559290.63148846013381.36851153986622
15665.990.8187779787775-24.9187779787775
15785.387.4084845344923-2.10848453449226
1588787.1199249995311-0.119924999531122
15991.887.10351249968644.69648750031358
16088.587.74625672041540.75374327958464
16189.187.84941128791591.25058871208414
16289.888.02056231666811.77943768333185
16388.988.26408969474220.635910305257823
1646488.3511180693688-24.3511180693688
16593.285.01851249843318.18148750156692
166100.186.138201161129913.9617988388701
16789.388.04896223822521.25103776177482
16868.188.2201747222871-20.1201747222871
16994.385.46660069021678.8333993097833
17093.386.67550763511446.62449236488561
17198.187.582111598716810.5178884012832
17296.889.02155160228237.77844839771772
17387.890.0860817971434-2.28608179714335
17495.689.77321694588395.82678305411611
17595.790.5706493106515.12935068934895
17664.491.2726336151873-26.8726336151873
177108.187.594942585290120.5050574147099
178109.690.40119026467619.198809735324
17990.993.028669631209-2.12866963120898
18075.692.7373476372274-17.1373476372274
18193.590.39199248580523.10800751419484
18298.190.81734310530487.28265689469515
183104.591.814021075874312.6859789241257
184102.793.55017807346599.14982192653413
18589.694.8023894683831-5.20238946838306
186108.894.090409341839314.7095906581607
18795.496.1035104911961-0.703510491196141
18870.196.0072306006592-25.9072306006592
189104.692.461661120797112.1383388792029
190105.594.122870090976611.3771299090234
19196.895.67990276635771.12009723364226
19279.495.8331952053411-16.4331952053411
19392.393.5842077981271-1.28420779812706
19496.893.40845578337013.39154421662994
19510393.87261020610419.12738979389593
19699.595.12175162082634.3782483791737
1979195.720942791343-4.72094279134296
198103.495.07485170831018.32514829168986
1998296.214201264939-14.214201264939
20070.194.268897308587-24.168897308587
20198.190.96122980911047.13877019088963
20295.791.93821596802173.76178403197832
2039892.45304006710065.54695993289937
20477.393.2121768558706-15.9121768558706
20589.891.0344941275241-1.23449412752414
20691.690.8655457451560.734454254843953
207106.590.96606048679215.533939513208
20887.593.0919790262539-5.59197902625388
20999.592.32668108788567.17331891211435
210104.493.30839545929611.091604540704
21184.594.8263521698531-10.3263521698531
21268.393.4131251192239-25.113125119224

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 122 & 112.7 & 9.3 \tabularnewline
3 & 134.7 & 113.972764220575 & 20.7272357794245 \tabularnewline
4 & 109.8 & 116.809418423961 & -7.00941842396087 \tabularnewline
5 & 130.8 & 115.85013487804 & 14.9498651219596 \tabularnewline
6 & 118.7 & 117.896119117789 & 0.803880882211203 \tabularnewline
7 & 104.4 & 118.006135335475 & -13.6061353354751 \tabularnewline
8 & 87.8 & 116.144049073615 & -28.3440490736149 \tabularnewline
9 & 134.2 & 112.264985468547 & 21.9350145314532 \tabularnewline
10 & 143.9 & 115.266931885045 & 28.6330681149546 \tabularnewline
11 & 140.4 & 119.185549586337 & 21.2144504136626 \tabularnewline
12 & 111 & 122.088882214905 & -11.0888822149055 \tabularnewline
13 & 126.3 & 120.571298071969 & 5.72870192803084 \tabularnewline
14 & 124.4 & 121.35530741007 & 3.04469258992984 \tabularnewline
15 & 136.1 & 121.771992979007 & 14.3280070209928 \tabularnewline
16 & 118.4 & 123.732871977768 & -5.33287197776782 \tabularnewline
17 & 127.4 & 123.003034488928 & 4.39696551107224 \tabularnewline
18 & 127.9 & 123.604787218132 & 4.29521278186823 \tabularnewline
19 & 115 & 124.192614438403 & -9.19261443840279 \tabularnewline
20 & 90.2 & 122.934546615742 & -32.734546615742 \tabularnewline
21 & 131 & 118.454615464207 & 12.5453845357931 \tabularnewline
22 & 143.3 & 120.171531224478 & 23.1284687755223 \tabularnewline
23 & 131.5 & 123.33680945396 & 8.1631905460403 \tabularnewline
24 & 98.5 & 124.453994061781 & -25.9539940617812 \tabularnewline
25 & 124.9 & 120.902024704484 & 3.99797529551599 \tabularnewline
26 & 122.4 & 121.449173081998 & 0.950826918002278 \tabularnewline
27 & 128.8 & 121.579299800406 & 7.22070019959439 \tabularnewline
28 & 125.9 & 122.567498602722 & 3.3325013972776 \tabularnewline
29 & 120.2 & 123.023572639655 & -2.82357263965497 \tabularnewline
30 & 120 & 122.637148743962 & -2.63714874396156 \tabularnewline
31 & 116 & 122.276238145505 & -6.27623814550458 \tabularnewline
32 & 89.2 & 121.417294989439 & -32.2172949894391 \tabularnewline
33 & 135.9 & 117.00815301672 & 18.8918469832797 \tabularnewline
34 & 148.7 & 119.593622575957 & 29.1063774240425 \tabularnewline
35 & 128.1 & 123.577015670139 & 4.52298432986106 \tabularnewline
36 & 100.9 & 124.196014877157 & -23.2960148771573 \tabularnewline
37 & 125.5 & 121.007806896766 & 4.49219310323413 \tabularnewline
38 & 119.8 & 121.622592128348 & -1.82259212834786 \tabularnewline
39 & 120.7 & 121.373158789674 & -0.673158789674346 \tabularnewline
40 & 125 & 121.281032722764 & 3.71896727723569 \tabularnewline
41 & 109 & 121.789997076308 & -12.789997076308 \tabularnewline
42 & 114.2 & 120.039604532223 & -5.83960453222309 \tabularnewline
43 & 105.6 & 119.240417466532 & -13.6404174665323 \tabularnewline
44 & 80.1 & 117.373639476735 & -37.273639476735 \tabularnewline
45 & 131.1 & 112.27250456312 & 18.8274954368799 \tabularnewline
46 & 136.6 & 114.849167203454 & 21.7508327965456 \tabularnewline
47 & 119.7 & 117.825907176698 & 1.87409282330223 \tabularnewline
48 & 102.4 & 118.082388713422 & -15.6823887134221 \tabularnewline
49 & 114.5 & 115.936153955616 & -1.43615395561559 \tabularnewline
50 & 112.9 & 115.739607141643 & -2.83960714164296 \tabularnewline
51 & 131.8 & 115.350988822248 & 16.4490111777521 \tabularnewline
52 & 118.7 & 117.602140745999 & 1.09785925400054 \tabularnewline
53 & 107.1 & 117.752389775862 & -10.6523897758618 \tabularnewline
54 & 127 & 116.294542402707 & 10.7054575972932 \tabularnewline
55 & 104.6 & 117.75965244515 & -13.1596524451502 \tabularnewline
56 & 85.9 & 115.958670209946 & -30.0586702099463 \tabularnewline
57 & 134 & 111.844949784 & 22.1550502159998 \tabularnewline
58 & 127.6 & 114.877009485073 & 12.7229905149268 \tabularnewline
59 & 121.5 & 116.618231754548 & 4.88176824545154 \tabularnewline
60 & 104.5 & 117.286332825081 & -12.786332825081 \tabularnewline
61 & 107.3 & 115.53644175711 & -8.23644175710969 \tabularnewline
62 & 111.9 & 114.409232254604 & -2.50923225460397 \tabularnewline
63 & 120.7 & 114.065827842263 & 6.6341721577373 \tabularnewline
64 & 116.9 & 114.973756547156 & 1.92624345284415 \tabularnewline
65 & 106.1 & 115.237375229618 & -9.137375229618 \tabularnewline
66 & 122.3 & 113.986867244432 & 8.31313275556808 \tabularnewline
67 & 97.8 & 115.12457239843 & -17.3245723984299 \tabularnewline
68 & 82.7 & 112.753594346227 & -30.0535943462265 \tabularnewline
69 & 128.2 & 108.640568584553 & 19.5594314154473 \tabularnewline
70 & 119 & 111.317401324379 & 7.68259867562136 \tabularnewline
71 & 127.4 & 112.368813874419 & 15.0311861255814 \tabularnewline
72 & 106 & 114.425927411349 & -8.42592741134881 \tabularnewline
73 & 108.7 & 113.272785590453 & -4.57278559045299 \tabularnewline
74 & 113.5 & 112.646970763798 & 0.853029236202033 \tabularnewline
75 & 131.4 & 112.763713246695 & 18.636286753305 \tabularnewline
76 & 111.3 & 115.314207761103 & -4.01420776110275 \tabularnewline
77 & 119 & 114.764837867308 & 4.23516213269167 \tabularnewline
78 & 130.7 & 115.344446773849 & 15.3555532261512 \tabularnewline
79 & 104.5 & 117.445952013998 & -12.945952013998 \tabularnewline
80 & 88.9 & 115.6742160436 & -26.7742160435997 \tabularnewline
81 & 135.4 & 112.009994085078 & 23.390005914922 \tabularnewline
82 & 140.6 & 115.211065337504 & 25.388934662496 \tabularnewline
83 & 138.8 & 118.685702717822 & 20.1142972821784 \tabularnewline
84 & 107.4 & 121.438472384787 & -14.0384723847868 \tabularnewline
85 & 120.8 & 119.517218044691 & 1.28278195530932 \tabularnewline
86 & 124.1 & 119.692774923779 & 4.40722507622141 \tabularnewline
87 & 139.2 & 120.295931739804 & 18.9040682601958 \tabularnewline
88 & 119.9 & 122.88307385861 & -2.98307385860997 \tabularnewline
89 & 121 & 122.47482120543 & -1.47482120543009 \tabularnewline
90 & 133.7 & 122.272982532095 & 11.4270174679051 \tabularnewline
91 & 115.2 & 123.836842637583 & -8.63684263758314 \tabularnewline
92 & 96.7 & 122.65483572491 & -25.9548357249104 \tabularnewline
93 & 131 & 119.102751180654 & 11.8972488193456 \tabularnewline
94 & 147.6 & 120.730965440928 & 26.8690345590717 \tabularnewline
95 & 132.9 & 124.408163917078 & 8.49183608292194 \tabularnewline
96 & 97.4 & 125.570325759372 & -28.1703257593722 \tabularnewline
97 & 123.6 & 121.715037296094 & 1.8849627039058 \tabularnewline
98 & 124.9 & 121.973006445196 & 2.9269935548036 \tabularnewline
99 & 118.6 & 122.373584151692 & -3.77358415169202 \tabularnewline
100 & 127.6 & 121.857145131089 & 5.7428548689106 \tabularnewline
101 & 110.2 & 122.643091389273 & -12.443091389273 \tabularnewline
102 & 115.4 & 120.940175097486 & -5.54017509748611 \tabularnewline
103 & 106.6 & 120.181966856647 & -13.581966856647 \tabularnewline
104 & 75.5 & 118.323188205014 & -42.8231882050145 \tabularnewline
105 & 116.7 & 112.462562209497 & 4.23743779050305 \tabularnewline
106 & 118 & 113.0424825543 & 4.95751744570016 \tabularnewline
107 & 98.7 & 113.720950385242 & -15.0209503852424 \tabularnewline
108 & 81.5 & 111.665237674557 & -30.1652376745568 \tabularnewline
109 & 87 & 107.536932812478 & -20.5369328124781 \tabularnewline
110 & 86.8 & 104.726322781931 & -17.9263227819313 \tabularnewline
111 & 96.8 & 102.272991357917 & -5.47299135791742 \tabularnewline
112 & 92.7 & 101.523977639651 & -8.82397763965115 \tabularnewline
113 & 82.1 & 100.316360110306 & -18.2163601103064 \tabularnewline
114 & 94.1 & 97.8233352310035 & -3.72333523100353 \tabularnewline
115 & 89.7 & 97.3137730951724 & -7.61377309517241 \tabularnewline
116 & 67.5 & 96.2717797640847 & -28.7717797640847 \tabularnewline
117 & 102 & 92.3341784903207 & 9.66582150967929 \tabularnewline
118 & 103.2 & 93.6570077139754 & 9.54299228602459 \tabularnewline
119 & 95.6 & 94.9630269762206 & 0.636973023779404 \tabularnewline
120 & 83 & 95.0502007906441 & -12.0502007906441 \tabularnewline
121 & 87.2 & 93.4010540791298 & -6.20105407912983 \tabularnewline
122 & 94 & 92.5524003413051 & 1.44759965869491 \tabularnewline
123 & 107.7 & 92.7505135726281 & 14.9494864273719 \tabularnewline
124 & 103.3 & 94.7964459856107 & 8.50355401438931 \tabularnewline
125 & 94.8 & 95.9602115014436 & -1.16021150144358 \tabularnewline
126 & 112.7 & 95.8014291694718 & 16.8985708305282 \tabularnewline
127 & 96.8 & 98.1141061944134 & -1.31410619441343 \tabularnewline
128 & 75.9 & 97.9342623937375 & -22.0342623937375 \tabularnewline
129 & 116.7 & 94.9187332752944 & 21.7812667247056 \tabularnewline
130 & 111.4 & 97.8996383254037 & 13.5003616745963 \tabularnewline
131 & 108.6 & 99.7472487882268 & 8.85275121177318 \tabularnewline
132 & 90.9 & 100.958804164141 & -10.0588041641409 \tabularnewline
133 & 92.6 & 99.5821927617867 & -6.98219276178671 \tabularnewline
134 & 95.7 & 98.6266352211025 & -2.92663522110247 \tabularnewline
135 & 116.7 & 98.2261065548557 & 18.4738934451443 \tabularnewline
136 & 95.4 & 100.754376510953 & -5.35437651095285 \tabularnewline
137 & 105.1 & 100.02159598981 & 5.07840401019023 \tabularnewline
138 & 99.7 & 100.716607916885 & -1.01660791688475 \tabularnewline
139 & 89.8 & 100.577478649899 & -10.7774786498993 \tabularnewline
140 & 74 & 99.1025120677909 & -25.1025120677909 \tabularnewline
141 & 108 & 95.6670734434416 & 12.3329265565584 \tabularnewline
142 & 102.1 & 97.3549129763634 & 4.7450870236366 \tabularnewline
143 & 100.2 & 98.0043083513313 & 2.19569164866869 \tabularnewline
144 & 83.2 & 98.3048027351853 & -15.1048027351853 \tabularnewline
145 & 87.9 & 96.2376142964547 & -8.33761429645467 \tabularnewline
146 & 93.3 & 95.0965586876927 & -1.79655868769272 \tabularnewline
147 & 98.5 & 94.8506881911487 & 3.64931180885129 \tabularnewline
148 & 84.5 & 95.3501197502917 & -10.8501197502917 \tabularnewline
149 & 89.3 & 93.8652117710303 & -4.56521177103029 \tabularnewline
150 & 94.2 & 93.2404334697919 & 0.95956653020815 \tabularnewline
151 & 83.5 & 93.3717562597823 & -9.87175625978226 \tabularnewline
152 & 67.5 & 92.0207435542239 & -24.5207435542239 \tabularnewline
153 & 89.4 & 88.6649236555439 & 0.735076344456061 \tabularnewline
154 & 102.4 & 88.7655235341047 & 13.6344764658953 \tabularnewline
155 & 92 & 90.6314884601338 & 1.36851153986622 \tabularnewline
156 & 65.9 & 90.8187779787775 & -24.9187779787775 \tabularnewline
157 & 85.3 & 87.4084845344923 & -2.10848453449226 \tabularnewline
158 & 87 & 87.1199249995311 & -0.119924999531122 \tabularnewline
159 & 91.8 & 87.1035124996864 & 4.69648750031358 \tabularnewline
160 & 88.5 & 87.7462567204154 & 0.75374327958464 \tabularnewline
161 & 89.1 & 87.8494112879159 & 1.25058871208414 \tabularnewline
162 & 89.8 & 88.0205623166681 & 1.77943768333185 \tabularnewline
163 & 88.9 & 88.2640896947422 & 0.635910305257823 \tabularnewline
164 & 64 & 88.3511180693688 & -24.3511180693688 \tabularnewline
165 & 93.2 & 85.0185124984331 & 8.18148750156692 \tabularnewline
166 & 100.1 & 86.1382011611299 & 13.9617988388701 \tabularnewline
167 & 89.3 & 88.0489622382252 & 1.25103776177482 \tabularnewline
168 & 68.1 & 88.2201747222871 & -20.1201747222871 \tabularnewline
169 & 94.3 & 85.4666006902167 & 8.8333993097833 \tabularnewline
170 & 93.3 & 86.6755076351144 & 6.62449236488561 \tabularnewline
171 & 98.1 & 87.5821115987168 & 10.5178884012832 \tabularnewline
172 & 96.8 & 89.0215516022823 & 7.77844839771772 \tabularnewline
173 & 87.8 & 90.0860817971434 & -2.28608179714335 \tabularnewline
174 & 95.6 & 89.7732169458839 & 5.82678305411611 \tabularnewline
175 & 95.7 & 90.570649310651 & 5.12935068934895 \tabularnewline
176 & 64.4 & 91.2726336151873 & -26.8726336151873 \tabularnewline
177 & 108.1 & 87.5949425852901 & 20.5050574147099 \tabularnewline
178 & 109.6 & 90.401190264676 & 19.198809735324 \tabularnewline
179 & 90.9 & 93.028669631209 & -2.12866963120898 \tabularnewline
180 & 75.6 & 92.7373476372274 & -17.1373476372274 \tabularnewline
181 & 93.5 & 90.3919924858052 & 3.10800751419484 \tabularnewline
182 & 98.1 & 90.8173431053048 & 7.28265689469515 \tabularnewline
183 & 104.5 & 91.8140210758743 & 12.6859789241257 \tabularnewline
184 & 102.7 & 93.5501780734659 & 9.14982192653413 \tabularnewline
185 & 89.6 & 94.8023894683831 & -5.20238946838306 \tabularnewline
186 & 108.8 & 94.0904093418393 & 14.7095906581607 \tabularnewline
187 & 95.4 & 96.1035104911961 & -0.703510491196141 \tabularnewline
188 & 70.1 & 96.0072306006592 & -25.9072306006592 \tabularnewline
189 & 104.6 & 92.4616611207971 & 12.1383388792029 \tabularnewline
190 & 105.5 & 94.1228700909766 & 11.3771299090234 \tabularnewline
191 & 96.8 & 95.6799027663577 & 1.12009723364226 \tabularnewline
192 & 79.4 & 95.8331952053411 & -16.4331952053411 \tabularnewline
193 & 92.3 & 93.5842077981271 & -1.28420779812706 \tabularnewline
194 & 96.8 & 93.4084557833701 & 3.39154421662994 \tabularnewline
195 & 103 & 93.8726102061041 & 9.12738979389593 \tabularnewline
196 & 99.5 & 95.1217516208263 & 4.3782483791737 \tabularnewline
197 & 91 & 95.720942791343 & -4.72094279134296 \tabularnewline
198 & 103.4 & 95.0748517083101 & 8.32514829168986 \tabularnewline
199 & 82 & 96.214201264939 & -14.214201264939 \tabularnewline
200 & 70.1 & 94.268897308587 & -24.168897308587 \tabularnewline
201 & 98.1 & 90.9612298091104 & 7.13877019088963 \tabularnewline
202 & 95.7 & 91.9382159680217 & 3.76178403197832 \tabularnewline
203 & 98 & 92.4530400671006 & 5.54695993289937 \tabularnewline
204 & 77.3 & 93.2121768558706 & -15.9121768558706 \tabularnewline
205 & 89.8 & 91.0344941275241 & -1.23449412752414 \tabularnewline
206 & 91.6 & 90.865545745156 & 0.734454254843953 \tabularnewline
207 & 106.5 & 90.966060486792 & 15.533939513208 \tabularnewline
208 & 87.5 & 93.0919790262539 & -5.59197902625388 \tabularnewline
209 & 99.5 & 92.3266810878856 & 7.17331891211435 \tabularnewline
210 & 104.4 & 93.308395459296 & 11.091604540704 \tabularnewline
211 & 84.5 & 94.8263521698531 & -10.3263521698531 \tabularnewline
212 & 68.3 & 93.4131251192239 & -25.113125119224 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310801&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]122[/C][C]112.7[/C][C]9.3[/C][/ROW]
[ROW][C]3[/C][C]134.7[/C][C]113.972764220575[/C][C]20.7272357794245[/C][/ROW]
[ROW][C]4[/C][C]109.8[/C][C]116.809418423961[/C][C]-7.00941842396087[/C][/ROW]
[ROW][C]5[/C][C]130.8[/C][C]115.85013487804[/C][C]14.9498651219596[/C][/ROW]
[ROW][C]6[/C][C]118.7[/C][C]117.896119117789[/C][C]0.803880882211203[/C][/ROW]
[ROW][C]7[/C][C]104.4[/C][C]118.006135335475[/C][C]-13.6061353354751[/C][/ROW]
[ROW][C]8[/C][C]87.8[/C][C]116.144049073615[/C][C]-28.3440490736149[/C][/ROW]
[ROW][C]9[/C][C]134.2[/C][C]112.264985468547[/C][C]21.9350145314532[/C][/ROW]
[ROW][C]10[/C][C]143.9[/C][C]115.266931885045[/C][C]28.6330681149546[/C][/ROW]
[ROW][C]11[/C][C]140.4[/C][C]119.185549586337[/C][C]21.2144504136626[/C][/ROW]
[ROW][C]12[/C][C]111[/C][C]122.088882214905[/C][C]-11.0888822149055[/C][/ROW]
[ROW][C]13[/C][C]126.3[/C][C]120.571298071969[/C][C]5.72870192803084[/C][/ROW]
[ROW][C]14[/C][C]124.4[/C][C]121.35530741007[/C][C]3.04469258992984[/C][/ROW]
[ROW][C]15[/C][C]136.1[/C][C]121.771992979007[/C][C]14.3280070209928[/C][/ROW]
[ROW][C]16[/C][C]118.4[/C][C]123.732871977768[/C][C]-5.33287197776782[/C][/ROW]
[ROW][C]17[/C][C]127.4[/C][C]123.003034488928[/C][C]4.39696551107224[/C][/ROW]
[ROW][C]18[/C][C]127.9[/C][C]123.604787218132[/C][C]4.29521278186823[/C][/ROW]
[ROW][C]19[/C][C]115[/C][C]124.192614438403[/C][C]-9.19261443840279[/C][/ROW]
[ROW][C]20[/C][C]90.2[/C][C]122.934546615742[/C][C]-32.734546615742[/C][/ROW]
[ROW][C]21[/C][C]131[/C][C]118.454615464207[/C][C]12.5453845357931[/C][/ROW]
[ROW][C]22[/C][C]143.3[/C][C]120.171531224478[/C][C]23.1284687755223[/C][/ROW]
[ROW][C]23[/C][C]131.5[/C][C]123.33680945396[/C][C]8.1631905460403[/C][/ROW]
[ROW][C]24[/C][C]98.5[/C][C]124.453994061781[/C][C]-25.9539940617812[/C][/ROW]
[ROW][C]25[/C][C]124.9[/C][C]120.902024704484[/C][C]3.99797529551599[/C][/ROW]
[ROW][C]26[/C][C]122.4[/C][C]121.449173081998[/C][C]0.950826918002278[/C][/ROW]
[ROW][C]27[/C][C]128.8[/C][C]121.579299800406[/C][C]7.22070019959439[/C][/ROW]
[ROW][C]28[/C][C]125.9[/C][C]122.567498602722[/C][C]3.3325013972776[/C][/ROW]
[ROW][C]29[/C][C]120.2[/C][C]123.023572639655[/C][C]-2.82357263965497[/C][/ROW]
[ROW][C]30[/C][C]120[/C][C]122.637148743962[/C][C]-2.63714874396156[/C][/ROW]
[ROW][C]31[/C][C]116[/C][C]122.276238145505[/C][C]-6.27623814550458[/C][/ROW]
[ROW][C]32[/C][C]89.2[/C][C]121.417294989439[/C][C]-32.2172949894391[/C][/ROW]
[ROW][C]33[/C][C]135.9[/C][C]117.00815301672[/C][C]18.8918469832797[/C][/ROW]
[ROW][C]34[/C][C]148.7[/C][C]119.593622575957[/C][C]29.1063774240425[/C][/ROW]
[ROW][C]35[/C][C]128.1[/C][C]123.577015670139[/C][C]4.52298432986106[/C][/ROW]
[ROW][C]36[/C][C]100.9[/C][C]124.196014877157[/C][C]-23.2960148771573[/C][/ROW]
[ROW][C]37[/C][C]125.5[/C][C]121.007806896766[/C][C]4.49219310323413[/C][/ROW]
[ROW][C]38[/C][C]119.8[/C][C]121.622592128348[/C][C]-1.82259212834786[/C][/ROW]
[ROW][C]39[/C][C]120.7[/C][C]121.373158789674[/C][C]-0.673158789674346[/C][/ROW]
[ROW][C]40[/C][C]125[/C][C]121.281032722764[/C][C]3.71896727723569[/C][/ROW]
[ROW][C]41[/C][C]109[/C][C]121.789997076308[/C][C]-12.789997076308[/C][/ROW]
[ROW][C]42[/C][C]114.2[/C][C]120.039604532223[/C][C]-5.83960453222309[/C][/ROW]
[ROW][C]43[/C][C]105.6[/C][C]119.240417466532[/C][C]-13.6404174665323[/C][/ROW]
[ROW][C]44[/C][C]80.1[/C][C]117.373639476735[/C][C]-37.273639476735[/C][/ROW]
[ROW][C]45[/C][C]131.1[/C][C]112.27250456312[/C][C]18.8274954368799[/C][/ROW]
[ROW][C]46[/C][C]136.6[/C][C]114.849167203454[/C][C]21.7508327965456[/C][/ROW]
[ROW][C]47[/C][C]119.7[/C][C]117.825907176698[/C][C]1.87409282330223[/C][/ROW]
[ROW][C]48[/C][C]102.4[/C][C]118.082388713422[/C][C]-15.6823887134221[/C][/ROW]
[ROW][C]49[/C][C]114.5[/C][C]115.936153955616[/C][C]-1.43615395561559[/C][/ROW]
[ROW][C]50[/C][C]112.9[/C][C]115.739607141643[/C][C]-2.83960714164296[/C][/ROW]
[ROW][C]51[/C][C]131.8[/C][C]115.350988822248[/C][C]16.4490111777521[/C][/ROW]
[ROW][C]52[/C][C]118.7[/C][C]117.602140745999[/C][C]1.09785925400054[/C][/ROW]
[ROW][C]53[/C][C]107.1[/C][C]117.752389775862[/C][C]-10.6523897758618[/C][/ROW]
[ROW][C]54[/C][C]127[/C][C]116.294542402707[/C][C]10.7054575972932[/C][/ROW]
[ROW][C]55[/C][C]104.6[/C][C]117.75965244515[/C][C]-13.1596524451502[/C][/ROW]
[ROW][C]56[/C][C]85.9[/C][C]115.958670209946[/C][C]-30.0586702099463[/C][/ROW]
[ROW][C]57[/C][C]134[/C][C]111.844949784[/C][C]22.1550502159998[/C][/ROW]
[ROW][C]58[/C][C]127.6[/C][C]114.877009485073[/C][C]12.7229905149268[/C][/ROW]
[ROW][C]59[/C][C]121.5[/C][C]116.618231754548[/C][C]4.88176824545154[/C][/ROW]
[ROW][C]60[/C][C]104.5[/C][C]117.286332825081[/C][C]-12.786332825081[/C][/ROW]
[ROW][C]61[/C][C]107.3[/C][C]115.53644175711[/C][C]-8.23644175710969[/C][/ROW]
[ROW][C]62[/C][C]111.9[/C][C]114.409232254604[/C][C]-2.50923225460397[/C][/ROW]
[ROW][C]63[/C][C]120.7[/C][C]114.065827842263[/C][C]6.6341721577373[/C][/ROW]
[ROW][C]64[/C][C]116.9[/C][C]114.973756547156[/C][C]1.92624345284415[/C][/ROW]
[ROW][C]65[/C][C]106.1[/C][C]115.237375229618[/C][C]-9.137375229618[/C][/ROW]
[ROW][C]66[/C][C]122.3[/C][C]113.986867244432[/C][C]8.31313275556808[/C][/ROW]
[ROW][C]67[/C][C]97.8[/C][C]115.12457239843[/C][C]-17.3245723984299[/C][/ROW]
[ROW][C]68[/C][C]82.7[/C][C]112.753594346227[/C][C]-30.0535943462265[/C][/ROW]
[ROW][C]69[/C][C]128.2[/C][C]108.640568584553[/C][C]19.5594314154473[/C][/ROW]
[ROW][C]70[/C][C]119[/C][C]111.317401324379[/C][C]7.68259867562136[/C][/ROW]
[ROW][C]71[/C][C]127.4[/C][C]112.368813874419[/C][C]15.0311861255814[/C][/ROW]
[ROW][C]72[/C][C]106[/C][C]114.425927411349[/C][C]-8.42592741134881[/C][/ROW]
[ROW][C]73[/C][C]108.7[/C][C]113.272785590453[/C][C]-4.57278559045299[/C][/ROW]
[ROW][C]74[/C][C]113.5[/C][C]112.646970763798[/C][C]0.853029236202033[/C][/ROW]
[ROW][C]75[/C][C]131.4[/C][C]112.763713246695[/C][C]18.636286753305[/C][/ROW]
[ROW][C]76[/C][C]111.3[/C][C]115.314207761103[/C][C]-4.01420776110275[/C][/ROW]
[ROW][C]77[/C][C]119[/C][C]114.764837867308[/C][C]4.23516213269167[/C][/ROW]
[ROW][C]78[/C][C]130.7[/C][C]115.344446773849[/C][C]15.3555532261512[/C][/ROW]
[ROW][C]79[/C][C]104.5[/C][C]117.445952013998[/C][C]-12.945952013998[/C][/ROW]
[ROW][C]80[/C][C]88.9[/C][C]115.6742160436[/C][C]-26.7742160435997[/C][/ROW]
[ROW][C]81[/C][C]135.4[/C][C]112.009994085078[/C][C]23.390005914922[/C][/ROW]
[ROW][C]82[/C][C]140.6[/C][C]115.211065337504[/C][C]25.388934662496[/C][/ROW]
[ROW][C]83[/C][C]138.8[/C][C]118.685702717822[/C][C]20.1142972821784[/C][/ROW]
[ROW][C]84[/C][C]107.4[/C][C]121.438472384787[/C][C]-14.0384723847868[/C][/ROW]
[ROW][C]85[/C][C]120.8[/C][C]119.517218044691[/C][C]1.28278195530932[/C][/ROW]
[ROW][C]86[/C][C]124.1[/C][C]119.692774923779[/C][C]4.40722507622141[/C][/ROW]
[ROW][C]87[/C][C]139.2[/C][C]120.295931739804[/C][C]18.9040682601958[/C][/ROW]
[ROW][C]88[/C][C]119.9[/C][C]122.88307385861[/C][C]-2.98307385860997[/C][/ROW]
[ROW][C]89[/C][C]121[/C][C]122.47482120543[/C][C]-1.47482120543009[/C][/ROW]
[ROW][C]90[/C][C]133.7[/C][C]122.272982532095[/C][C]11.4270174679051[/C][/ROW]
[ROW][C]91[/C][C]115.2[/C][C]123.836842637583[/C][C]-8.63684263758314[/C][/ROW]
[ROW][C]92[/C][C]96.7[/C][C]122.65483572491[/C][C]-25.9548357249104[/C][/ROW]
[ROW][C]93[/C][C]131[/C][C]119.102751180654[/C][C]11.8972488193456[/C][/ROW]
[ROW][C]94[/C][C]147.6[/C][C]120.730965440928[/C][C]26.8690345590717[/C][/ROW]
[ROW][C]95[/C][C]132.9[/C][C]124.408163917078[/C][C]8.49183608292194[/C][/ROW]
[ROW][C]96[/C][C]97.4[/C][C]125.570325759372[/C][C]-28.1703257593722[/C][/ROW]
[ROW][C]97[/C][C]123.6[/C][C]121.715037296094[/C][C]1.8849627039058[/C][/ROW]
[ROW][C]98[/C][C]124.9[/C][C]121.973006445196[/C][C]2.9269935548036[/C][/ROW]
[ROW][C]99[/C][C]118.6[/C][C]122.373584151692[/C][C]-3.77358415169202[/C][/ROW]
[ROW][C]100[/C][C]127.6[/C][C]121.857145131089[/C][C]5.7428548689106[/C][/ROW]
[ROW][C]101[/C][C]110.2[/C][C]122.643091389273[/C][C]-12.443091389273[/C][/ROW]
[ROW][C]102[/C][C]115.4[/C][C]120.940175097486[/C][C]-5.54017509748611[/C][/ROW]
[ROW][C]103[/C][C]106.6[/C][C]120.181966856647[/C][C]-13.581966856647[/C][/ROW]
[ROW][C]104[/C][C]75.5[/C][C]118.323188205014[/C][C]-42.8231882050145[/C][/ROW]
[ROW][C]105[/C][C]116.7[/C][C]112.462562209497[/C][C]4.23743779050305[/C][/ROW]
[ROW][C]106[/C][C]118[/C][C]113.0424825543[/C][C]4.95751744570016[/C][/ROW]
[ROW][C]107[/C][C]98.7[/C][C]113.720950385242[/C][C]-15.0209503852424[/C][/ROW]
[ROW][C]108[/C][C]81.5[/C][C]111.665237674557[/C][C]-30.1652376745568[/C][/ROW]
[ROW][C]109[/C][C]87[/C][C]107.536932812478[/C][C]-20.5369328124781[/C][/ROW]
[ROW][C]110[/C][C]86.8[/C][C]104.726322781931[/C][C]-17.9263227819313[/C][/ROW]
[ROW][C]111[/C][C]96.8[/C][C]102.272991357917[/C][C]-5.47299135791742[/C][/ROW]
[ROW][C]112[/C][C]92.7[/C][C]101.523977639651[/C][C]-8.82397763965115[/C][/ROW]
[ROW][C]113[/C][C]82.1[/C][C]100.316360110306[/C][C]-18.2163601103064[/C][/ROW]
[ROW][C]114[/C][C]94.1[/C][C]97.8233352310035[/C][C]-3.72333523100353[/C][/ROW]
[ROW][C]115[/C][C]89.7[/C][C]97.3137730951724[/C][C]-7.61377309517241[/C][/ROW]
[ROW][C]116[/C][C]67.5[/C][C]96.2717797640847[/C][C]-28.7717797640847[/C][/ROW]
[ROW][C]117[/C][C]102[/C][C]92.3341784903207[/C][C]9.66582150967929[/C][/ROW]
[ROW][C]118[/C][C]103.2[/C][C]93.6570077139754[/C][C]9.54299228602459[/C][/ROW]
[ROW][C]119[/C][C]95.6[/C][C]94.9630269762206[/C][C]0.636973023779404[/C][/ROW]
[ROW][C]120[/C][C]83[/C][C]95.0502007906441[/C][C]-12.0502007906441[/C][/ROW]
[ROW][C]121[/C][C]87.2[/C][C]93.4010540791298[/C][C]-6.20105407912983[/C][/ROW]
[ROW][C]122[/C][C]94[/C][C]92.5524003413051[/C][C]1.44759965869491[/C][/ROW]
[ROW][C]123[/C][C]107.7[/C][C]92.7505135726281[/C][C]14.9494864273719[/C][/ROW]
[ROW][C]124[/C][C]103.3[/C][C]94.7964459856107[/C][C]8.50355401438931[/C][/ROW]
[ROW][C]125[/C][C]94.8[/C][C]95.9602115014436[/C][C]-1.16021150144358[/C][/ROW]
[ROW][C]126[/C][C]112.7[/C][C]95.8014291694718[/C][C]16.8985708305282[/C][/ROW]
[ROW][C]127[/C][C]96.8[/C][C]98.1141061944134[/C][C]-1.31410619441343[/C][/ROW]
[ROW][C]128[/C][C]75.9[/C][C]97.9342623937375[/C][C]-22.0342623937375[/C][/ROW]
[ROW][C]129[/C][C]116.7[/C][C]94.9187332752944[/C][C]21.7812667247056[/C][/ROW]
[ROW][C]130[/C][C]111.4[/C][C]97.8996383254037[/C][C]13.5003616745963[/C][/ROW]
[ROW][C]131[/C][C]108.6[/C][C]99.7472487882268[/C][C]8.85275121177318[/C][/ROW]
[ROW][C]132[/C][C]90.9[/C][C]100.958804164141[/C][C]-10.0588041641409[/C][/ROW]
[ROW][C]133[/C][C]92.6[/C][C]99.5821927617867[/C][C]-6.98219276178671[/C][/ROW]
[ROW][C]134[/C][C]95.7[/C][C]98.6266352211025[/C][C]-2.92663522110247[/C][/ROW]
[ROW][C]135[/C][C]116.7[/C][C]98.2261065548557[/C][C]18.4738934451443[/C][/ROW]
[ROW][C]136[/C][C]95.4[/C][C]100.754376510953[/C][C]-5.35437651095285[/C][/ROW]
[ROW][C]137[/C][C]105.1[/C][C]100.02159598981[/C][C]5.07840401019023[/C][/ROW]
[ROW][C]138[/C][C]99.7[/C][C]100.716607916885[/C][C]-1.01660791688475[/C][/ROW]
[ROW][C]139[/C][C]89.8[/C][C]100.577478649899[/C][C]-10.7774786498993[/C][/ROW]
[ROW][C]140[/C][C]74[/C][C]99.1025120677909[/C][C]-25.1025120677909[/C][/ROW]
[ROW][C]141[/C][C]108[/C][C]95.6670734434416[/C][C]12.3329265565584[/C][/ROW]
[ROW][C]142[/C][C]102.1[/C][C]97.3549129763634[/C][C]4.7450870236366[/C][/ROW]
[ROW][C]143[/C][C]100.2[/C][C]98.0043083513313[/C][C]2.19569164866869[/C][/ROW]
[ROW][C]144[/C][C]83.2[/C][C]98.3048027351853[/C][C]-15.1048027351853[/C][/ROW]
[ROW][C]145[/C][C]87.9[/C][C]96.2376142964547[/C][C]-8.33761429645467[/C][/ROW]
[ROW][C]146[/C][C]93.3[/C][C]95.0965586876927[/C][C]-1.79655868769272[/C][/ROW]
[ROW][C]147[/C][C]98.5[/C][C]94.8506881911487[/C][C]3.64931180885129[/C][/ROW]
[ROW][C]148[/C][C]84.5[/C][C]95.3501197502917[/C][C]-10.8501197502917[/C][/ROW]
[ROW][C]149[/C][C]89.3[/C][C]93.8652117710303[/C][C]-4.56521177103029[/C][/ROW]
[ROW][C]150[/C][C]94.2[/C][C]93.2404334697919[/C][C]0.95956653020815[/C][/ROW]
[ROW][C]151[/C][C]83.5[/C][C]93.3717562597823[/C][C]-9.87175625978226[/C][/ROW]
[ROW][C]152[/C][C]67.5[/C][C]92.0207435542239[/C][C]-24.5207435542239[/C][/ROW]
[ROW][C]153[/C][C]89.4[/C][C]88.6649236555439[/C][C]0.735076344456061[/C][/ROW]
[ROW][C]154[/C][C]102.4[/C][C]88.7655235341047[/C][C]13.6344764658953[/C][/ROW]
[ROW][C]155[/C][C]92[/C][C]90.6314884601338[/C][C]1.36851153986622[/C][/ROW]
[ROW][C]156[/C][C]65.9[/C][C]90.8187779787775[/C][C]-24.9187779787775[/C][/ROW]
[ROW][C]157[/C][C]85.3[/C][C]87.4084845344923[/C][C]-2.10848453449226[/C][/ROW]
[ROW][C]158[/C][C]87[/C][C]87.1199249995311[/C][C]-0.119924999531122[/C][/ROW]
[ROW][C]159[/C][C]91.8[/C][C]87.1035124996864[/C][C]4.69648750031358[/C][/ROW]
[ROW][C]160[/C][C]88.5[/C][C]87.7462567204154[/C][C]0.75374327958464[/C][/ROW]
[ROW][C]161[/C][C]89.1[/C][C]87.8494112879159[/C][C]1.25058871208414[/C][/ROW]
[ROW][C]162[/C][C]89.8[/C][C]88.0205623166681[/C][C]1.77943768333185[/C][/ROW]
[ROW][C]163[/C][C]88.9[/C][C]88.2640896947422[/C][C]0.635910305257823[/C][/ROW]
[ROW][C]164[/C][C]64[/C][C]88.3511180693688[/C][C]-24.3511180693688[/C][/ROW]
[ROW][C]165[/C][C]93.2[/C][C]85.0185124984331[/C][C]8.18148750156692[/C][/ROW]
[ROW][C]166[/C][C]100.1[/C][C]86.1382011611299[/C][C]13.9617988388701[/C][/ROW]
[ROW][C]167[/C][C]89.3[/C][C]88.0489622382252[/C][C]1.25103776177482[/C][/ROW]
[ROW][C]168[/C][C]68.1[/C][C]88.2201747222871[/C][C]-20.1201747222871[/C][/ROW]
[ROW][C]169[/C][C]94.3[/C][C]85.4666006902167[/C][C]8.8333993097833[/C][/ROW]
[ROW][C]170[/C][C]93.3[/C][C]86.6755076351144[/C][C]6.62449236488561[/C][/ROW]
[ROW][C]171[/C][C]98.1[/C][C]87.5821115987168[/C][C]10.5178884012832[/C][/ROW]
[ROW][C]172[/C][C]96.8[/C][C]89.0215516022823[/C][C]7.77844839771772[/C][/ROW]
[ROW][C]173[/C][C]87.8[/C][C]90.0860817971434[/C][C]-2.28608179714335[/C][/ROW]
[ROW][C]174[/C][C]95.6[/C][C]89.7732169458839[/C][C]5.82678305411611[/C][/ROW]
[ROW][C]175[/C][C]95.7[/C][C]90.570649310651[/C][C]5.12935068934895[/C][/ROW]
[ROW][C]176[/C][C]64.4[/C][C]91.2726336151873[/C][C]-26.8726336151873[/C][/ROW]
[ROW][C]177[/C][C]108.1[/C][C]87.5949425852901[/C][C]20.5050574147099[/C][/ROW]
[ROW][C]178[/C][C]109.6[/C][C]90.401190264676[/C][C]19.198809735324[/C][/ROW]
[ROW][C]179[/C][C]90.9[/C][C]93.028669631209[/C][C]-2.12866963120898[/C][/ROW]
[ROW][C]180[/C][C]75.6[/C][C]92.7373476372274[/C][C]-17.1373476372274[/C][/ROW]
[ROW][C]181[/C][C]93.5[/C][C]90.3919924858052[/C][C]3.10800751419484[/C][/ROW]
[ROW][C]182[/C][C]98.1[/C][C]90.8173431053048[/C][C]7.28265689469515[/C][/ROW]
[ROW][C]183[/C][C]104.5[/C][C]91.8140210758743[/C][C]12.6859789241257[/C][/ROW]
[ROW][C]184[/C][C]102.7[/C][C]93.5501780734659[/C][C]9.14982192653413[/C][/ROW]
[ROW][C]185[/C][C]89.6[/C][C]94.8023894683831[/C][C]-5.20238946838306[/C][/ROW]
[ROW][C]186[/C][C]108.8[/C][C]94.0904093418393[/C][C]14.7095906581607[/C][/ROW]
[ROW][C]187[/C][C]95.4[/C][C]96.1035104911961[/C][C]-0.703510491196141[/C][/ROW]
[ROW][C]188[/C][C]70.1[/C][C]96.0072306006592[/C][C]-25.9072306006592[/C][/ROW]
[ROW][C]189[/C][C]104.6[/C][C]92.4616611207971[/C][C]12.1383388792029[/C][/ROW]
[ROW][C]190[/C][C]105.5[/C][C]94.1228700909766[/C][C]11.3771299090234[/C][/ROW]
[ROW][C]191[/C][C]96.8[/C][C]95.6799027663577[/C][C]1.12009723364226[/C][/ROW]
[ROW][C]192[/C][C]79.4[/C][C]95.8331952053411[/C][C]-16.4331952053411[/C][/ROW]
[ROW][C]193[/C][C]92.3[/C][C]93.5842077981271[/C][C]-1.28420779812706[/C][/ROW]
[ROW][C]194[/C][C]96.8[/C][C]93.4084557833701[/C][C]3.39154421662994[/C][/ROW]
[ROW][C]195[/C][C]103[/C][C]93.8726102061041[/C][C]9.12738979389593[/C][/ROW]
[ROW][C]196[/C][C]99.5[/C][C]95.1217516208263[/C][C]4.3782483791737[/C][/ROW]
[ROW][C]197[/C][C]91[/C][C]95.720942791343[/C][C]-4.72094279134296[/C][/ROW]
[ROW][C]198[/C][C]103.4[/C][C]95.0748517083101[/C][C]8.32514829168986[/C][/ROW]
[ROW][C]199[/C][C]82[/C][C]96.214201264939[/C][C]-14.214201264939[/C][/ROW]
[ROW][C]200[/C][C]70.1[/C][C]94.268897308587[/C][C]-24.168897308587[/C][/ROW]
[ROW][C]201[/C][C]98.1[/C][C]90.9612298091104[/C][C]7.13877019088963[/C][/ROW]
[ROW][C]202[/C][C]95.7[/C][C]91.9382159680217[/C][C]3.76178403197832[/C][/ROW]
[ROW][C]203[/C][C]98[/C][C]92.4530400671006[/C][C]5.54695993289937[/C][/ROW]
[ROW][C]204[/C][C]77.3[/C][C]93.2121768558706[/C][C]-15.9121768558706[/C][/ROW]
[ROW][C]205[/C][C]89.8[/C][C]91.0344941275241[/C][C]-1.23449412752414[/C][/ROW]
[ROW][C]206[/C][C]91.6[/C][C]90.865545745156[/C][C]0.734454254843953[/C][/ROW]
[ROW][C]207[/C][C]106.5[/C][C]90.966060486792[/C][C]15.533939513208[/C][/ROW]
[ROW][C]208[/C][C]87.5[/C][C]93.0919790262539[/C][C]-5.59197902625388[/C][/ROW]
[ROW][C]209[/C][C]99.5[/C][C]92.3266810878856[/C][C]7.17331891211435[/C][/ROW]
[ROW][C]210[/C][C]104.4[/C][C]93.308395459296[/C][C]11.091604540704[/C][/ROW]
[ROW][C]211[/C][C]84.5[/C][C]94.8263521698531[/C][C]-10.3263521698531[/C][/ROW]
[ROW][C]212[/C][C]68.3[/C][C]93.4131251192239[/C][C]-25.113125119224[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310801&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310801&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
2122112.79.3
3134.7113.97276422057520.7272357794245
4109.8116.809418423961-7.00941842396087
5130.8115.8501348780414.9498651219596
6118.7117.8961191177890.803880882211203
7104.4118.006135335475-13.6061353354751
887.8116.144049073615-28.3440490736149
9134.2112.26498546854721.9350145314532
10143.9115.26693188504528.6330681149546
11140.4119.18554958633721.2144504136626
12111122.088882214905-11.0888822149055
13126.3120.5712980719695.72870192803084
14124.4121.355307410073.04469258992984
15136.1121.77199297900714.3280070209928
16118.4123.732871977768-5.33287197776782
17127.4123.0030344889284.39696551107224
18127.9123.6047872181324.29521278186823
19115124.192614438403-9.19261443840279
2090.2122.934546615742-32.734546615742
21131118.45461546420712.5453845357931
22143.3120.17153122447823.1284687755223
23131.5123.336809453968.1631905460403
2498.5124.453994061781-25.9539940617812
25124.9120.9020247044843.99797529551599
26122.4121.4491730819980.950826918002278
27128.8121.5792998004067.22070019959439
28125.9122.5674986027223.3325013972776
29120.2123.023572639655-2.82357263965497
30120122.637148743962-2.63714874396156
31116122.276238145505-6.27623814550458
3289.2121.417294989439-32.2172949894391
33135.9117.0081530167218.8918469832797
34148.7119.59362257595729.1063774240425
35128.1123.5770156701394.52298432986106
36100.9124.196014877157-23.2960148771573
37125.5121.0078068967664.49219310323413
38119.8121.622592128348-1.82259212834786
39120.7121.373158789674-0.673158789674346
40125121.2810327227643.71896727723569
41109121.789997076308-12.789997076308
42114.2120.039604532223-5.83960453222309
43105.6119.240417466532-13.6404174665323
4480.1117.373639476735-37.273639476735
45131.1112.2725045631218.8274954368799
46136.6114.84916720345421.7508327965456
47119.7117.8259071766981.87409282330223
48102.4118.082388713422-15.6823887134221
49114.5115.936153955616-1.43615395561559
50112.9115.739607141643-2.83960714164296
51131.8115.35098882224816.4490111777521
52118.7117.6021407459991.09785925400054
53107.1117.752389775862-10.6523897758618
54127116.29454240270710.7054575972932
55104.6117.75965244515-13.1596524451502
5685.9115.958670209946-30.0586702099463
57134111.84494978422.1550502159998
58127.6114.87700948507312.7229905149268
59121.5116.6182317545484.88176824545154
60104.5117.286332825081-12.786332825081
61107.3115.53644175711-8.23644175710969
62111.9114.409232254604-2.50923225460397
63120.7114.0658278422636.6341721577373
64116.9114.9737565471561.92624345284415
65106.1115.237375229618-9.137375229618
66122.3113.9868672444328.31313275556808
6797.8115.12457239843-17.3245723984299
6882.7112.753594346227-30.0535943462265
69128.2108.64056858455319.5594314154473
70119111.3174013243797.68259867562136
71127.4112.36881387441915.0311861255814
72106114.425927411349-8.42592741134881
73108.7113.272785590453-4.57278559045299
74113.5112.6469707637980.853029236202033
75131.4112.76371324669518.636286753305
76111.3115.314207761103-4.01420776110275
77119114.7648378673084.23516213269167
78130.7115.34444677384915.3555532261512
79104.5117.445952013998-12.945952013998
8088.9115.6742160436-26.7742160435997
81135.4112.00999408507823.390005914922
82140.6115.21106533750425.388934662496
83138.8118.68570271782220.1142972821784
84107.4121.438472384787-14.0384723847868
85120.8119.5172180446911.28278195530932
86124.1119.6927749237794.40722507622141
87139.2120.29593173980418.9040682601958
88119.9122.88307385861-2.98307385860997
89121122.47482120543-1.47482120543009
90133.7122.27298253209511.4270174679051
91115.2123.836842637583-8.63684263758314
9296.7122.65483572491-25.9548357249104
93131119.10275118065411.8972488193456
94147.6120.73096544092826.8690345590717
95132.9124.4081639170788.49183608292194
9697.4125.570325759372-28.1703257593722
97123.6121.7150372960941.8849627039058
98124.9121.9730064451962.9269935548036
99118.6122.373584151692-3.77358415169202
100127.6121.8571451310895.7428548689106
101110.2122.643091389273-12.443091389273
102115.4120.940175097486-5.54017509748611
103106.6120.181966856647-13.581966856647
10475.5118.323188205014-42.8231882050145
105116.7112.4625622094974.23743779050305
106118113.04248255434.95751744570016
10798.7113.720950385242-15.0209503852424
10881.5111.665237674557-30.1652376745568
10987107.536932812478-20.5369328124781
11086.8104.726322781931-17.9263227819313
11196.8102.272991357917-5.47299135791742
11292.7101.523977639651-8.82397763965115
11382.1100.316360110306-18.2163601103064
11494.197.8233352310035-3.72333523100353
11589.797.3137730951724-7.61377309517241
11667.596.2717797640847-28.7717797640847
11710292.33417849032079.66582150967929
118103.293.65700771397549.54299228602459
11995.694.96302697622060.636973023779404
1208395.0502007906441-12.0502007906441
12187.293.4010540791298-6.20105407912983
1229492.55240034130511.44759965869491
123107.792.750513572628114.9494864273719
124103.394.79644598561078.50355401438931
12594.895.9602115014436-1.16021150144358
126112.795.801429169471816.8985708305282
12796.898.1141061944134-1.31410619441343
12875.997.9342623937375-22.0342623937375
129116.794.918733275294421.7812667247056
130111.497.899638325403713.5003616745963
131108.699.74724878822688.85275121177318
13290.9100.958804164141-10.0588041641409
13392.699.5821927617867-6.98219276178671
13495.798.6266352211025-2.92663522110247
135116.798.226106554855718.4738934451443
13695.4100.754376510953-5.35437651095285
137105.1100.021595989815.07840401019023
13899.7100.716607916885-1.01660791688475
13989.8100.577478649899-10.7774786498993
1407499.1025120677909-25.1025120677909
14110895.667073443441612.3329265565584
142102.197.35491297636344.7450870236366
143100.298.00430835133132.19569164866869
14483.298.3048027351853-15.1048027351853
14587.996.2376142964547-8.33761429645467
14693.395.0965586876927-1.79655868769272
14798.594.85068819114873.64931180885129
14884.595.3501197502917-10.8501197502917
14989.393.8652117710303-4.56521177103029
15094.293.24043346979190.95956653020815
15183.593.3717562597823-9.87175625978226
15267.592.0207435542239-24.5207435542239
15389.488.66492365554390.735076344456061
154102.488.765523534104713.6344764658953
1559290.63148846013381.36851153986622
15665.990.8187779787775-24.9187779787775
15785.387.4084845344923-2.10848453449226
1588787.1199249995311-0.119924999531122
15991.887.10351249968644.69648750031358
16088.587.74625672041540.75374327958464
16189.187.84941128791591.25058871208414
16289.888.02056231666811.77943768333185
16388.988.26408969474220.635910305257823
1646488.3511180693688-24.3511180693688
16593.285.01851249843318.18148750156692
166100.186.138201161129913.9617988388701
16789.388.04896223822521.25103776177482
16868.188.2201747222871-20.1201747222871
16994.385.46660069021678.8333993097833
17093.386.67550763511446.62449236488561
17198.187.582111598716810.5178884012832
17296.889.02155160228237.77844839771772
17387.890.0860817971434-2.28608179714335
17495.689.77321694588395.82678305411611
17595.790.5706493106515.12935068934895
17664.491.2726336151873-26.8726336151873
177108.187.594942585290120.5050574147099
178109.690.40119026467619.198809735324
17990.993.028669631209-2.12866963120898
18075.692.7373476372274-17.1373476372274
18193.590.39199248580523.10800751419484
18298.190.81734310530487.28265689469515
183104.591.814021075874312.6859789241257
184102.793.55017807346599.14982192653413
18589.694.8023894683831-5.20238946838306
186108.894.090409341839314.7095906581607
18795.496.1035104911961-0.703510491196141
18870.196.0072306006592-25.9072306006592
189104.692.461661120797112.1383388792029
190105.594.122870090976611.3771299090234
19196.895.67990276635771.12009723364226
19279.495.8331952053411-16.4331952053411
19392.393.5842077981271-1.28420779812706
19496.893.40845578337013.39154421662994
19510393.87261020610419.12738979389593
19699.595.12175162082634.3782483791737
1979195.720942791343-4.72094279134296
198103.495.07485170831018.32514829168986
1998296.214201264939-14.214201264939
20070.194.268897308587-24.168897308587
20198.190.96122980911047.13877019088963
20295.791.93821596802173.76178403197832
2039892.45304006710065.54695993289937
20477.393.2121768558706-15.9121768558706
20589.891.0344941275241-1.23449412752414
20691.690.8655457451560.734454254843953
207106.590.96606048679215.533939513208
20887.593.0919790262539-5.59197902625388
20999.592.32668108788567.17331891211435
210104.493.30839545929611.091604540704
21184.594.8263521698531-10.3263521698531
21268.393.4131251192239-25.113125119224







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
21389.976234031204262.2215454187627117.730922643646
21489.976234031204261.9628331817925117.989634880616
21589.976234031204261.7064884659175118.245979596491
21689.976234031204261.4524474399699118.500020622438
21789.976234031204261.2006490905204118.751818971888
21889.976234031204260.9510350507539119.001433011654
21989.976234031204260.7035494424795119.248918619929
22089.976234031204260.4581387300641119.494329332344
22189.976234031204260.2147515852066119.737716477202
22289.976234031204259.9733387615865119.979129300822
22389.976234031204259.7338529785179120.21861508389
22489.976234031204259.4962488128333120.456219249575

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 89.9762340312042 & 62.2215454187627 & 117.730922643646 \tabularnewline
214 & 89.9762340312042 & 61.9628331817925 & 117.989634880616 \tabularnewline
215 & 89.9762340312042 & 61.7064884659175 & 118.245979596491 \tabularnewline
216 & 89.9762340312042 & 61.4524474399699 & 118.500020622438 \tabularnewline
217 & 89.9762340312042 & 61.2006490905204 & 118.751818971888 \tabularnewline
218 & 89.9762340312042 & 60.9510350507539 & 119.001433011654 \tabularnewline
219 & 89.9762340312042 & 60.7035494424795 & 119.248918619929 \tabularnewline
220 & 89.9762340312042 & 60.4581387300641 & 119.494329332344 \tabularnewline
221 & 89.9762340312042 & 60.2147515852066 & 119.737716477202 \tabularnewline
222 & 89.9762340312042 & 59.9733387615865 & 119.979129300822 \tabularnewline
223 & 89.9762340312042 & 59.7338529785179 & 120.21861508389 \tabularnewline
224 & 89.9762340312042 & 59.4962488128333 & 120.456219249575 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310801&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]89.9762340312042[/C][C]62.2215454187627[/C][C]117.730922643646[/C][/ROW]
[ROW][C]214[/C][C]89.9762340312042[/C][C]61.9628331817925[/C][C]117.989634880616[/C][/ROW]
[ROW][C]215[/C][C]89.9762340312042[/C][C]61.7064884659175[/C][C]118.245979596491[/C][/ROW]
[ROW][C]216[/C][C]89.9762340312042[/C][C]61.4524474399699[/C][C]118.500020622438[/C][/ROW]
[ROW][C]217[/C][C]89.9762340312042[/C][C]61.2006490905204[/C][C]118.751818971888[/C][/ROW]
[ROW][C]218[/C][C]89.9762340312042[/C][C]60.9510350507539[/C][C]119.001433011654[/C][/ROW]
[ROW][C]219[/C][C]89.9762340312042[/C][C]60.7035494424795[/C][C]119.248918619929[/C][/ROW]
[ROW][C]220[/C][C]89.9762340312042[/C][C]60.4581387300641[/C][C]119.494329332344[/C][/ROW]
[ROW][C]221[/C][C]89.9762340312042[/C][C]60.2147515852066[/C][C]119.737716477202[/C][/ROW]
[ROW][C]222[/C][C]89.9762340312042[/C][C]59.9733387615865[/C][C]119.979129300822[/C][/ROW]
[ROW][C]223[/C][C]89.9762340312042[/C][C]59.7338529785179[/C][C]120.21861508389[/C][/ROW]
[ROW][C]224[/C][C]89.9762340312042[/C][C]59.4962488128333[/C][C]120.456219249575[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310801&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310801&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
21389.976234031204262.2215454187627117.730922643646
21489.976234031204261.9628331817925117.989634880616
21589.976234031204261.7064884659175118.245979596491
21689.976234031204261.4524474399699118.500020622438
21789.976234031204261.2006490905204118.751818971888
21889.976234031204260.9510350507539119.001433011654
21989.976234031204260.7035494424795119.248918619929
22089.976234031204260.4581387300641119.494329332344
22189.976234031204260.2147515852066119.737716477202
22289.976234031204259.9733387615865119.979129300822
22389.976234031204259.7338529785179120.21861508389
22489.976234031204259.4962488128333120.456219249575



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ; par4 = 12 ;
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')