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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 computationWed, 24 Jan 2018 10:46:29 +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/Jan/24/t15167872129j0hyhujtm1m3lu.htm/, Retrieved Sun, 05 May 2024 23:35:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=312444, Retrieved Sun, 05 May 2024 23:35:41 +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] [single smoothing] [2018-01-24 09:46:29] [a6579856853e9a9cf95827c80a4dd560] [Current]
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Dataseries X:
62.4
67.4
76.1
67.4
74.5
72.6
60.5
66.1
76.5
76.8
77
71
74.8
73.7
80.5
71.8
76.9
79.9
65.9
69.5
75.1
79.6
75.2
68
72.8
71.5
78.5
76.8
75.3
76.7
69.7
67.8
77.5
82.5
75.3
70.9
76
73.7
79.7
77.8
73.3
78.3
71.9
67
82
83.7
74.8
80
74.3
76.8
89
81.9
76.8
88.9
75.8
75.5
89.1
88
85.9
89.3
82.9
81.2
90.5
86.4
81.8
91.3
73.4
76.6
91
87
89.7
90.7
86.5
86.6
98.8
84.4
91.4
95.7
78.5
81.7
94.3
98.5
95.4
91.7
92.8
90.5
102.2
91.8
95
102
88.9
89.6
97.9
108.6
100.8
95.1
101
100.9
102.5
105.4
98.4
105.3
96.5
88.1
107.9
107
92.5
95.7
85.2
85.5
94.7
86.2
88.8
93.4
83.4
82.9
96.7
96.2
92.8
92.8
90
95.4
108.3
96.3
95
109
92
92.3
107
105.5
105.4
103.9
99.2
102.2
121.5
102.3
110
105.9
91.9
100
111.7
104.9
103.3
101.8
100.8
104.2
116.5
97.9
100.7
107
96.3
96
104.5
107.4
102.4
94.9
98.8
96.8
108.2
103.8
102.3
107.2
102
92.6
105.2
113
105.6
101.6
101.7
102.7
109
105.5
103.3
108.6
98.2
90
112.4
111.9
102.1
102.4
101.7
98.7
114
105.1
98.3
110
96.5
92.2
112
111.4
107.5
103.4
103.5
107.4
117.6
110.2
104.3
115.9
98.9
101.9
113.5
109.5
110
114.2
106.9
109.2
124.2
104.7
111.9
119
102.9
106.3




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=312444&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=312444&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312444&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
alpha0.206908976421986
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.206908976421986 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312444&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]0.206908976421986[/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=312444&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312444&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
alpha0.206908976421986
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
267.462.45.00000000000001
376.163.434544882109912.6654551178901
467.466.05514123647121.34485876352883
574.566.33340458666518.16659541333493
672.668.02314648449074.57685351550931
760.568.9701385606181-8.47013856061808
866.167.2175908608882-1.1175908608882
976.566.98635127980329.51364872019676
1076.868.95481059853757.84518940146251
117770.57805070743076.42194929256928
127171.9068096621901-0.906809662190128
1374.871.71918260317683.08081739682321
1473.772.35663137729651.34336862270347
1580.572.63458640397757.86541359602248
1671.874.2620110802661-2.46201108026611
1776.973.75259888770873.14740111229135
1879.974.40382443024235.49617556975772
1965.975.5410324916164-9.64103249161637
2069.573.5462163271249-4.04621632712491
2175.172.70901784849762.39098215150243
2279.673.20373351810826.39626648189183
2375.274.52717846879870.672821531201336
246874.6663912831342-6.6663912831342
2572.873.2870550863124-0.487055086312452
2671.573.1862790169424-1.68627901694242
2778.572.8373727515855.66262724841501
2876.874.00902115941382.79097884058621
2975.374.58649973453490.713500265465086
3076.774.73412934413911.9658706558609
3169.775.1408856293213-5.4408856293213
3267.874.0151175529293-6.21511755292933
3377.572.72915394171044.77084605828961
3482.573.7162848162988.78371518370204
3575.375.53371433414-0.233714334140004
3670.975.4853567404879-4.58535674048794
377674.53660527078391.46339472921608
3873.774.8393947763073-1.13939477630734
3979.774.6036437694015.09635623059897
4077.875.65812562055612.14187437944392
4173.376.1012986560313-2.80129865603129
4278.375.52168481845962.77831518154044
4371.976.0965431688498-4.19654316884976
446775.2282407172724-8.22824071727237
458273.52574385270788.47425614729217
4683.775.27914351808188.42085648191822
4774.877.0214943133519-2.22149431335193
488076.5618471988493.43815280115099
4974.377.2732318757175-2.97323187571754
5076.876.65804351164760.141956488352406
518976.687415583349112.3125844166509
5281.979.23499982210762.66500017789241
5376.879.7864122810797-2.98641228107972
5488.979.16849677282759.73150322717254
5575.881.182032144609-5.382032144609
5675.580.0684413824977-4.56844138249772
5789.179.12318985220139.97681014779872
588881.18748142783886.81251857216121
5985.982.59705267246043.30294732753957
6089.383.28046212317746.01953787682261
6182.984.5259585438041-1.62595854380412
6281.284.189533125801-2.98953312580102
6390.583.57097188676196.9290281132381
6486.485.00465000127121.39534999872885
6581.885.2933604412586-3.49336044125856
6691.384.57055280808476.72944719191531
6773.485.9629358384497-12.5629358384497
6876.683.363551643261-6.76355164326097
699181.96411209577669.03588790422342
708783.83371841310333.16628158689674
7189.784.48885049531195.21114950468815
7290.785.56708410530885.13291589469118
7386.586.6291304791395-0.129130479139519
7486.686.6024122238759-0.00241222387587925
7598.886.601913113102812.1980868868972
7684.489.1258067851772-4.72580678517716
7791.488.14799494048813.25200505951193
7895.788.82086397867086.87913602132919
7978.590.2442189715117-11.7442189715117
8081.787.8142346452405-6.1142346452405
8194.386.54914461318997.75085538681006
8298.588.152866167669710.3471338323303
8395.490.29378103781845.10621896218157
8491.791.350303576670.349696423330045
8592.891.42265890567961.37734109432039
8690.591.7076431416894-1.20764314168937
87102.291.457770935359410.7422290646406
8891.893.6804345556147-1.8804345556147
899593.29135576648391.70864423351607
9010293.64488959591018.35511040408994
9188.995.373636937513-6.47363693751299
9289.694.0341833450446-4.43418334504463
9397.993.1167110078544.783288992146
94108.694.106416437149514.4935835628505
95100.897.10526897682543.6947310231746
9695.197.869741990985-2.76974199098501
9710197.29665751067733.70334248932271
98100.998.06291231448312.83708768551691
99102.598.64993122351283.85006877648718
100105.499.446545013215.95345498678998
10198.4100.678368290701-2.27836829070111
102105.3100.206953439765.09304656024017
10396.5101.260750490409-4.76075049040864
10488.1100.275708479438-12.1757084794377
105107.997.756445100744810.1435548992552
10610799.85523766222997.14476233777012
10792.5101.333553124316-8.83355312431625
10895.799.5058116891947-3.80581168919473
10985.298.7183550881286-13.5183550881286
11085.595.921286073935-10.421286073935
11194.793.76502843937640.934971560623609
11286.293.9584824479687-7.75848244796869
11388.892.3531827860715-3.55318278607155
11493.491.61799737276521.78200262723476
11583.491.9867097123477-8.58670971234767
11682.990.2100423949331-7.31004239493308
11796.788.69752900539618.00247099460385
11896.290.35331208773635.84668791226373
11992.891.56304429912151.23695570087845
12092.891.81898153706960.981018462930351
1219092.0219630630856-2.02196306308564
12295.491.60360075533953.79639924466048
123108.392.389109837141415.9108901628586
12496.395.68121583470110.618784165298862
1259595.8092478329692-0.809247832969248
12610995.641807192177913.3581928078221
1279298.4057371928919-6.40573719289188
12892.397.0803326670824-4.78033266708238
12910796.091238927979810.9087610720202
130105.598.34835951542357.15164048457652
131105.499.82809812782535.57190187217475
132103.9100.9809746409212.91902535907931
13399.2101.584947190118-2.38494719011761
134102.2101.091480208191.10851979181011
135121.5101.32084290365720.1791570963432
136102.3105.49609164352-3.19609164351967
137110104.8347915930085.16520840699187
138105.9105.903519577505-0.00351957750504539
13991.9105.902791345326-14.002791345326
140100103.005488121014-3.00548812101397
141111.7102.3836256502479.31637434975347
142104.9104.3112671309180.588732869081937
143103.3104.433081246246-1.13308124624579
144101.8104.198636565382-2.39863656538212
145100.8103.702337128831-2.90233712883055
146104.2103.1018175242731.09818247572731
147116.5103.3290413362513.17095866375
14897.9106.054230911863-8.15423091186278
149100.7104.367047340381-3.66704734038073
150107103.6083023286923.39169767130841
15196.3104.310075022195-8.01007502219485
15296102.652718598289-6.6527185982892
153104.5101.2762114026943.22378859730634
154107.4101.9432422015635.45675779843683
155102.4103.07229437222-0.672294372220435
15694.9102.93319063181-8.03319063181003
15798.8101.27105138078-2.47105138077953
15896.8100.759768668896-3.95976866889629
159108.299.94045698674718.25954301325291
160103.8101.6494305773332.15056942266737
161102.3102.0944026953010.205597304698841
162107.2102.1369426231725.0630573768285
163102103.184534642577-1.18453464257686
16492.6102.939443792145-10.3394437921449
165105.2100.800120060344.39987993966047
166113101.71049471503411.2895052849657
167105.6104.0463946978571.55360530214284
168101.6104.367849580687-2.76784958068731
169101.7103.795156657057-2.09515665705726
170102.7103.361649937702-0.661649937701824
171109103.2247486263425.77525137365774
172105.5104.4196999766451.08030002335455
173103.3104.643223748706-1.34322374870639
174108.6104.3652986977564.23470130224415
17598.2105.241496409656-7.04149640965603
17690103.784547595055-13.784547595055
177112.4100.93240096172211.467599038278
178111.9103.305150140758.59484985925013
179102.1105.083501727628-2.98350172762798
180102.4104.466188439011-2.06618843901124
181101.7104.038675504-2.33867550400048
18298.7103.554782549285-4.85478254928456
183114102.55028446126111.4497155387392
184105.1104.9193333837040.180666616295767
18598.3104.956714928356-6.65671492835561
186110103.5793808561976.42061914380341
18796.5104.907864591236-8.40786459123638
18892.2103.168201934769-10.968201934769
189112100.89878249925611.1012175007437
190111.4103.1957240493738.20427595062699
191107.5104.8932623886012.60673761139924
192103.4105.432619799576-2.03261979957607
193103.5105.012052517391-1.51205251739071
194107.4104.6991952787212.7008047212789
195117.6105.25801601911712.3419839808834
196110.2107.8116832916182.38831670838228
197104.3108.305847457121-4.00584745712064
198115.9107.4770016600658.42299833993482
19998.9109.219795624985-10.3197956249852
200101.9107.084537275335-5.1845372753354
201113.5106.0118099744747.48819002552588
202109.5107.5611837079091.93881629209099
203110107.9623422023762.03765779762418
204114.2108.3839518915815.81604810841948
205106.9109.587344452515-2.68734445251462
206109.2109.0313087625520.168691237448485
207124.2109.06621249382315.1337875061767
208104.7112.197528976114-7.4975289761142
209111.9110.6462229299721.25377707002778
210119110.9056406601938.09435933980697
211102.9112.580436265984-9.68043626598423
212106.3110.577467106871-4.27746710687116

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 67.4 & 62.4 & 5.00000000000001 \tabularnewline
3 & 76.1 & 63.4345448821099 & 12.6654551178901 \tabularnewline
4 & 67.4 & 66.0551412364712 & 1.34485876352883 \tabularnewline
5 & 74.5 & 66.3334045866651 & 8.16659541333493 \tabularnewline
6 & 72.6 & 68.0231464844907 & 4.57685351550931 \tabularnewline
7 & 60.5 & 68.9701385606181 & -8.47013856061808 \tabularnewline
8 & 66.1 & 67.2175908608882 & -1.1175908608882 \tabularnewline
9 & 76.5 & 66.9863512798032 & 9.51364872019676 \tabularnewline
10 & 76.8 & 68.9548105985375 & 7.84518940146251 \tabularnewline
11 & 77 & 70.5780507074307 & 6.42194929256928 \tabularnewline
12 & 71 & 71.9068096621901 & -0.906809662190128 \tabularnewline
13 & 74.8 & 71.7191826031768 & 3.08081739682321 \tabularnewline
14 & 73.7 & 72.3566313772965 & 1.34336862270347 \tabularnewline
15 & 80.5 & 72.6345864039775 & 7.86541359602248 \tabularnewline
16 & 71.8 & 74.2620110802661 & -2.46201108026611 \tabularnewline
17 & 76.9 & 73.7525988877087 & 3.14740111229135 \tabularnewline
18 & 79.9 & 74.4038244302423 & 5.49617556975772 \tabularnewline
19 & 65.9 & 75.5410324916164 & -9.64103249161637 \tabularnewline
20 & 69.5 & 73.5462163271249 & -4.04621632712491 \tabularnewline
21 & 75.1 & 72.7090178484976 & 2.39098215150243 \tabularnewline
22 & 79.6 & 73.2037335181082 & 6.39626648189183 \tabularnewline
23 & 75.2 & 74.5271784687987 & 0.672821531201336 \tabularnewline
24 & 68 & 74.6663912831342 & -6.6663912831342 \tabularnewline
25 & 72.8 & 73.2870550863124 & -0.487055086312452 \tabularnewline
26 & 71.5 & 73.1862790169424 & -1.68627901694242 \tabularnewline
27 & 78.5 & 72.837372751585 & 5.66262724841501 \tabularnewline
28 & 76.8 & 74.0090211594138 & 2.79097884058621 \tabularnewline
29 & 75.3 & 74.5864997345349 & 0.713500265465086 \tabularnewline
30 & 76.7 & 74.7341293441391 & 1.9658706558609 \tabularnewline
31 & 69.7 & 75.1408856293213 & -5.4408856293213 \tabularnewline
32 & 67.8 & 74.0151175529293 & -6.21511755292933 \tabularnewline
33 & 77.5 & 72.7291539417104 & 4.77084605828961 \tabularnewline
34 & 82.5 & 73.716284816298 & 8.78371518370204 \tabularnewline
35 & 75.3 & 75.53371433414 & -0.233714334140004 \tabularnewline
36 & 70.9 & 75.4853567404879 & -4.58535674048794 \tabularnewline
37 & 76 & 74.5366052707839 & 1.46339472921608 \tabularnewline
38 & 73.7 & 74.8393947763073 & -1.13939477630734 \tabularnewline
39 & 79.7 & 74.603643769401 & 5.09635623059897 \tabularnewline
40 & 77.8 & 75.6581256205561 & 2.14187437944392 \tabularnewline
41 & 73.3 & 76.1012986560313 & -2.80129865603129 \tabularnewline
42 & 78.3 & 75.5216848184596 & 2.77831518154044 \tabularnewline
43 & 71.9 & 76.0965431688498 & -4.19654316884976 \tabularnewline
44 & 67 & 75.2282407172724 & -8.22824071727237 \tabularnewline
45 & 82 & 73.5257438527078 & 8.47425614729217 \tabularnewline
46 & 83.7 & 75.2791435180818 & 8.42085648191822 \tabularnewline
47 & 74.8 & 77.0214943133519 & -2.22149431335193 \tabularnewline
48 & 80 & 76.561847198849 & 3.43815280115099 \tabularnewline
49 & 74.3 & 77.2732318757175 & -2.97323187571754 \tabularnewline
50 & 76.8 & 76.6580435116476 & 0.141956488352406 \tabularnewline
51 & 89 & 76.6874155833491 & 12.3125844166509 \tabularnewline
52 & 81.9 & 79.2349998221076 & 2.66500017789241 \tabularnewline
53 & 76.8 & 79.7864122810797 & -2.98641228107972 \tabularnewline
54 & 88.9 & 79.1684967728275 & 9.73150322717254 \tabularnewline
55 & 75.8 & 81.182032144609 & -5.382032144609 \tabularnewline
56 & 75.5 & 80.0684413824977 & -4.56844138249772 \tabularnewline
57 & 89.1 & 79.1231898522013 & 9.97681014779872 \tabularnewline
58 & 88 & 81.1874814278388 & 6.81251857216121 \tabularnewline
59 & 85.9 & 82.5970526724604 & 3.30294732753957 \tabularnewline
60 & 89.3 & 83.2804621231774 & 6.01953787682261 \tabularnewline
61 & 82.9 & 84.5259585438041 & -1.62595854380412 \tabularnewline
62 & 81.2 & 84.189533125801 & -2.98953312580102 \tabularnewline
63 & 90.5 & 83.5709718867619 & 6.9290281132381 \tabularnewline
64 & 86.4 & 85.0046500012712 & 1.39534999872885 \tabularnewline
65 & 81.8 & 85.2933604412586 & -3.49336044125856 \tabularnewline
66 & 91.3 & 84.5705528080847 & 6.72944719191531 \tabularnewline
67 & 73.4 & 85.9629358384497 & -12.5629358384497 \tabularnewline
68 & 76.6 & 83.363551643261 & -6.76355164326097 \tabularnewline
69 & 91 & 81.9641120957766 & 9.03588790422342 \tabularnewline
70 & 87 & 83.8337184131033 & 3.16628158689674 \tabularnewline
71 & 89.7 & 84.4888504953119 & 5.21114950468815 \tabularnewline
72 & 90.7 & 85.5670841053088 & 5.13291589469118 \tabularnewline
73 & 86.5 & 86.6291304791395 & -0.129130479139519 \tabularnewline
74 & 86.6 & 86.6024122238759 & -0.00241222387587925 \tabularnewline
75 & 98.8 & 86.6019131131028 & 12.1980868868972 \tabularnewline
76 & 84.4 & 89.1258067851772 & -4.72580678517716 \tabularnewline
77 & 91.4 & 88.1479949404881 & 3.25200505951193 \tabularnewline
78 & 95.7 & 88.8208639786708 & 6.87913602132919 \tabularnewline
79 & 78.5 & 90.2442189715117 & -11.7442189715117 \tabularnewline
80 & 81.7 & 87.8142346452405 & -6.1142346452405 \tabularnewline
81 & 94.3 & 86.5491446131899 & 7.75085538681006 \tabularnewline
82 & 98.5 & 88.1528661676697 & 10.3471338323303 \tabularnewline
83 & 95.4 & 90.2937810378184 & 5.10621896218157 \tabularnewline
84 & 91.7 & 91.35030357667 & 0.349696423330045 \tabularnewline
85 & 92.8 & 91.4226589056796 & 1.37734109432039 \tabularnewline
86 & 90.5 & 91.7076431416894 & -1.20764314168937 \tabularnewline
87 & 102.2 & 91.4577709353594 & 10.7422290646406 \tabularnewline
88 & 91.8 & 93.6804345556147 & -1.8804345556147 \tabularnewline
89 & 95 & 93.2913557664839 & 1.70864423351607 \tabularnewline
90 & 102 & 93.6448895959101 & 8.35511040408994 \tabularnewline
91 & 88.9 & 95.373636937513 & -6.47363693751299 \tabularnewline
92 & 89.6 & 94.0341833450446 & -4.43418334504463 \tabularnewline
93 & 97.9 & 93.116711007854 & 4.783288992146 \tabularnewline
94 & 108.6 & 94.1064164371495 & 14.4935835628505 \tabularnewline
95 & 100.8 & 97.1052689768254 & 3.6947310231746 \tabularnewline
96 & 95.1 & 97.869741990985 & -2.76974199098501 \tabularnewline
97 & 101 & 97.2966575106773 & 3.70334248932271 \tabularnewline
98 & 100.9 & 98.0629123144831 & 2.83708768551691 \tabularnewline
99 & 102.5 & 98.6499312235128 & 3.85006877648718 \tabularnewline
100 & 105.4 & 99.44654501321 & 5.95345498678998 \tabularnewline
101 & 98.4 & 100.678368290701 & -2.27836829070111 \tabularnewline
102 & 105.3 & 100.20695343976 & 5.09304656024017 \tabularnewline
103 & 96.5 & 101.260750490409 & -4.76075049040864 \tabularnewline
104 & 88.1 & 100.275708479438 & -12.1757084794377 \tabularnewline
105 & 107.9 & 97.7564451007448 & 10.1435548992552 \tabularnewline
106 & 107 & 99.8552376622299 & 7.14476233777012 \tabularnewline
107 & 92.5 & 101.333553124316 & -8.83355312431625 \tabularnewline
108 & 95.7 & 99.5058116891947 & -3.80581168919473 \tabularnewline
109 & 85.2 & 98.7183550881286 & -13.5183550881286 \tabularnewline
110 & 85.5 & 95.921286073935 & -10.421286073935 \tabularnewline
111 & 94.7 & 93.7650284393764 & 0.934971560623609 \tabularnewline
112 & 86.2 & 93.9584824479687 & -7.75848244796869 \tabularnewline
113 & 88.8 & 92.3531827860715 & -3.55318278607155 \tabularnewline
114 & 93.4 & 91.6179973727652 & 1.78200262723476 \tabularnewline
115 & 83.4 & 91.9867097123477 & -8.58670971234767 \tabularnewline
116 & 82.9 & 90.2100423949331 & -7.31004239493308 \tabularnewline
117 & 96.7 & 88.6975290053961 & 8.00247099460385 \tabularnewline
118 & 96.2 & 90.3533120877363 & 5.84668791226373 \tabularnewline
119 & 92.8 & 91.5630442991215 & 1.23695570087845 \tabularnewline
120 & 92.8 & 91.8189815370696 & 0.981018462930351 \tabularnewline
121 & 90 & 92.0219630630856 & -2.02196306308564 \tabularnewline
122 & 95.4 & 91.6036007553395 & 3.79639924466048 \tabularnewline
123 & 108.3 & 92.3891098371414 & 15.9108901628586 \tabularnewline
124 & 96.3 & 95.6812158347011 & 0.618784165298862 \tabularnewline
125 & 95 & 95.8092478329692 & -0.809247832969248 \tabularnewline
126 & 109 & 95.6418071921779 & 13.3581928078221 \tabularnewline
127 & 92 & 98.4057371928919 & -6.40573719289188 \tabularnewline
128 & 92.3 & 97.0803326670824 & -4.78033266708238 \tabularnewline
129 & 107 & 96.0912389279798 & 10.9087610720202 \tabularnewline
130 & 105.5 & 98.3483595154235 & 7.15164048457652 \tabularnewline
131 & 105.4 & 99.8280981278253 & 5.57190187217475 \tabularnewline
132 & 103.9 & 100.980974640921 & 2.91902535907931 \tabularnewline
133 & 99.2 & 101.584947190118 & -2.38494719011761 \tabularnewline
134 & 102.2 & 101.09148020819 & 1.10851979181011 \tabularnewline
135 & 121.5 & 101.320842903657 & 20.1791570963432 \tabularnewline
136 & 102.3 & 105.49609164352 & -3.19609164351967 \tabularnewline
137 & 110 & 104.834791593008 & 5.16520840699187 \tabularnewline
138 & 105.9 & 105.903519577505 & -0.00351957750504539 \tabularnewline
139 & 91.9 & 105.902791345326 & -14.002791345326 \tabularnewline
140 & 100 & 103.005488121014 & -3.00548812101397 \tabularnewline
141 & 111.7 & 102.383625650247 & 9.31637434975347 \tabularnewline
142 & 104.9 & 104.311267130918 & 0.588732869081937 \tabularnewline
143 & 103.3 & 104.433081246246 & -1.13308124624579 \tabularnewline
144 & 101.8 & 104.198636565382 & -2.39863656538212 \tabularnewline
145 & 100.8 & 103.702337128831 & -2.90233712883055 \tabularnewline
146 & 104.2 & 103.101817524273 & 1.09818247572731 \tabularnewline
147 & 116.5 & 103.32904133625 & 13.17095866375 \tabularnewline
148 & 97.9 & 106.054230911863 & -8.15423091186278 \tabularnewline
149 & 100.7 & 104.367047340381 & -3.66704734038073 \tabularnewline
150 & 107 & 103.608302328692 & 3.39169767130841 \tabularnewline
151 & 96.3 & 104.310075022195 & -8.01007502219485 \tabularnewline
152 & 96 & 102.652718598289 & -6.6527185982892 \tabularnewline
153 & 104.5 & 101.276211402694 & 3.22378859730634 \tabularnewline
154 & 107.4 & 101.943242201563 & 5.45675779843683 \tabularnewline
155 & 102.4 & 103.07229437222 & -0.672294372220435 \tabularnewline
156 & 94.9 & 102.93319063181 & -8.03319063181003 \tabularnewline
157 & 98.8 & 101.27105138078 & -2.47105138077953 \tabularnewline
158 & 96.8 & 100.759768668896 & -3.95976866889629 \tabularnewline
159 & 108.2 & 99.9404569867471 & 8.25954301325291 \tabularnewline
160 & 103.8 & 101.649430577333 & 2.15056942266737 \tabularnewline
161 & 102.3 & 102.094402695301 & 0.205597304698841 \tabularnewline
162 & 107.2 & 102.136942623172 & 5.0630573768285 \tabularnewline
163 & 102 & 103.184534642577 & -1.18453464257686 \tabularnewline
164 & 92.6 & 102.939443792145 & -10.3394437921449 \tabularnewline
165 & 105.2 & 100.80012006034 & 4.39987993966047 \tabularnewline
166 & 113 & 101.710494715034 & 11.2895052849657 \tabularnewline
167 & 105.6 & 104.046394697857 & 1.55360530214284 \tabularnewline
168 & 101.6 & 104.367849580687 & -2.76784958068731 \tabularnewline
169 & 101.7 & 103.795156657057 & -2.09515665705726 \tabularnewline
170 & 102.7 & 103.361649937702 & -0.661649937701824 \tabularnewline
171 & 109 & 103.224748626342 & 5.77525137365774 \tabularnewline
172 & 105.5 & 104.419699976645 & 1.08030002335455 \tabularnewline
173 & 103.3 & 104.643223748706 & -1.34322374870639 \tabularnewline
174 & 108.6 & 104.365298697756 & 4.23470130224415 \tabularnewline
175 & 98.2 & 105.241496409656 & -7.04149640965603 \tabularnewline
176 & 90 & 103.784547595055 & -13.784547595055 \tabularnewline
177 & 112.4 & 100.932400961722 & 11.467599038278 \tabularnewline
178 & 111.9 & 103.30515014075 & 8.59484985925013 \tabularnewline
179 & 102.1 & 105.083501727628 & -2.98350172762798 \tabularnewline
180 & 102.4 & 104.466188439011 & -2.06618843901124 \tabularnewline
181 & 101.7 & 104.038675504 & -2.33867550400048 \tabularnewline
182 & 98.7 & 103.554782549285 & -4.85478254928456 \tabularnewline
183 & 114 & 102.550284461261 & 11.4497155387392 \tabularnewline
184 & 105.1 & 104.919333383704 & 0.180666616295767 \tabularnewline
185 & 98.3 & 104.956714928356 & -6.65671492835561 \tabularnewline
186 & 110 & 103.579380856197 & 6.42061914380341 \tabularnewline
187 & 96.5 & 104.907864591236 & -8.40786459123638 \tabularnewline
188 & 92.2 & 103.168201934769 & -10.968201934769 \tabularnewline
189 & 112 & 100.898782499256 & 11.1012175007437 \tabularnewline
190 & 111.4 & 103.195724049373 & 8.20427595062699 \tabularnewline
191 & 107.5 & 104.893262388601 & 2.60673761139924 \tabularnewline
192 & 103.4 & 105.432619799576 & -2.03261979957607 \tabularnewline
193 & 103.5 & 105.012052517391 & -1.51205251739071 \tabularnewline
194 & 107.4 & 104.699195278721 & 2.7008047212789 \tabularnewline
195 & 117.6 & 105.258016019117 & 12.3419839808834 \tabularnewline
196 & 110.2 & 107.811683291618 & 2.38831670838228 \tabularnewline
197 & 104.3 & 108.305847457121 & -4.00584745712064 \tabularnewline
198 & 115.9 & 107.477001660065 & 8.42299833993482 \tabularnewline
199 & 98.9 & 109.219795624985 & -10.3197956249852 \tabularnewline
200 & 101.9 & 107.084537275335 & -5.1845372753354 \tabularnewline
201 & 113.5 & 106.011809974474 & 7.48819002552588 \tabularnewline
202 & 109.5 & 107.561183707909 & 1.93881629209099 \tabularnewline
203 & 110 & 107.962342202376 & 2.03765779762418 \tabularnewline
204 & 114.2 & 108.383951891581 & 5.81604810841948 \tabularnewline
205 & 106.9 & 109.587344452515 & -2.68734445251462 \tabularnewline
206 & 109.2 & 109.031308762552 & 0.168691237448485 \tabularnewline
207 & 124.2 & 109.066212493823 & 15.1337875061767 \tabularnewline
208 & 104.7 & 112.197528976114 & -7.4975289761142 \tabularnewline
209 & 111.9 & 110.646222929972 & 1.25377707002778 \tabularnewline
210 & 119 & 110.905640660193 & 8.09435933980697 \tabularnewline
211 & 102.9 & 112.580436265984 & -9.68043626598423 \tabularnewline
212 & 106.3 & 110.577467106871 & -4.27746710687116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312444&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]67.4[/C][C]62.4[/C][C]5.00000000000001[/C][/ROW]
[ROW][C]3[/C][C]76.1[/C][C]63.4345448821099[/C][C]12.6654551178901[/C][/ROW]
[ROW][C]4[/C][C]67.4[/C][C]66.0551412364712[/C][C]1.34485876352883[/C][/ROW]
[ROW][C]5[/C][C]74.5[/C][C]66.3334045866651[/C][C]8.16659541333493[/C][/ROW]
[ROW][C]6[/C][C]72.6[/C][C]68.0231464844907[/C][C]4.57685351550931[/C][/ROW]
[ROW][C]7[/C][C]60.5[/C][C]68.9701385606181[/C][C]-8.47013856061808[/C][/ROW]
[ROW][C]8[/C][C]66.1[/C][C]67.2175908608882[/C][C]-1.1175908608882[/C][/ROW]
[ROW][C]9[/C][C]76.5[/C][C]66.9863512798032[/C][C]9.51364872019676[/C][/ROW]
[ROW][C]10[/C][C]76.8[/C][C]68.9548105985375[/C][C]7.84518940146251[/C][/ROW]
[ROW][C]11[/C][C]77[/C][C]70.5780507074307[/C][C]6.42194929256928[/C][/ROW]
[ROW][C]12[/C][C]71[/C][C]71.9068096621901[/C][C]-0.906809662190128[/C][/ROW]
[ROW][C]13[/C][C]74.8[/C][C]71.7191826031768[/C][C]3.08081739682321[/C][/ROW]
[ROW][C]14[/C][C]73.7[/C][C]72.3566313772965[/C][C]1.34336862270347[/C][/ROW]
[ROW][C]15[/C][C]80.5[/C][C]72.6345864039775[/C][C]7.86541359602248[/C][/ROW]
[ROW][C]16[/C][C]71.8[/C][C]74.2620110802661[/C][C]-2.46201108026611[/C][/ROW]
[ROW][C]17[/C][C]76.9[/C][C]73.7525988877087[/C][C]3.14740111229135[/C][/ROW]
[ROW][C]18[/C][C]79.9[/C][C]74.4038244302423[/C][C]5.49617556975772[/C][/ROW]
[ROW][C]19[/C][C]65.9[/C][C]75.5410324916164[/C][C]-9.64103249161637[/C][/ROW]
[ROW][C]20[/C][C]69.5[/C][C]73.5462163271249[/C][C]-4.04621632712491[/C][/ROW]
[ROW][C]21[/C][C]75.1[/C][C]72.7090178484976[/C][C]2.39098215150243[/C][/ROW]
[ROW][C]22[/C][C]79.6[/C][C]73.2037335181082[/C][C]6.39626648189183[/C][/ROW]
[ROW][C]23[/C][C]75.2[/C][C]74.5271784687987[/C][C]0.672821531201336[/C][/ROW]
[ROW][C]24[/C][C]68[/C][C]74.6663912831342[/C][C]-6.6663912831342[/C][/ROW]
[ROW][C]25[/C][C]72.8[/C][C]73.2870550863124[/C][C]-0.487055086312452[/C][/ROW]
[ROW][C]26[/C][C]71.5[/C][C]73.1862790169424[/C][C]-1.68627901694242[/C][/ROW]
[ROW][C]27[/C][C]78.5[/C][C]72.837372751585[/C][C]5.66262724841501[/C][/ROW]
[ROW][C]28[/C][C]76.8[/C][C]74.0090211594138[/C][C]2.79097884058621[/C][/ROW]
[ROW][C]29[/C][C]75.3[/C][C]74.5864997345349[/C][C]0.713500265465086[/C][/ROW]
[ROW][C]30[/C][C]76.7[/C][C]74.7341293441391[/C][C]1.9658706558609[/C][/ROW]
[ROW][C]31[/C][C]69.7[/C][C]75.1408856293213[/C][C]-5.4408856293213[/C][/ROW]
[ROW][C]32[/C][C]67.8[/C][C]74.0151175529293[/C][C]-6.21511755292933[/C][/ROW]
[ROW][C]33[/C][C]77.5[/C][C]72.7291539417104[/C][C]4.77084605828961[/C][/ROW]
[ROW][C]34[/C][C]82.5[/C][C]73.716284816298[/C][C]8.78371518370204[/C][/ROW]
[ROW][C]35[/C][C]75.3[/C][C]75.53371433414[/C][C]-0.233714334140004[/C][/ROW]
[ROW][C]36[/C][C]70.9[/C][C]75.4853567404879[/C][C]-4.58535674048794[/C][/ROW]
[ROW][C]37[/C][C]76[/C][C]74.5366052707839[/C][C]1.46339472921608[/C][/ROW]
[ROW][C]38[/C][C]73.7[/C][C]74.8393947763073[/C][C]-1.13939477630734[/C][/ROW]
[ROW][C]39[/C][C]79.7[/C][C]74.603643769401[/C][C]5.09635623059897[/C][/ROW]
[ROW][C]40[/C][C]77.8[/C][C]75.6581256205561[/C][C]2.14187437944392[/C][/ROW]
[ROW][C]41[/C][C]73.3[/C][C]76.1012986560313[/C][C]-2.80129865603129[/C][/ROW]
[ROW][C]42[/C][C]78.3[/C][C]75.5216848184596[/C][C]2.77831518154044[/C][/ROW]
[ROW][C]43[/C][C]71.9[/C][C]76.0965431688498[/C][C]-4.19654316884976[/C][/ROW]
[ROW][C]44[/C][C]67[/C][C]75.2282407172724[/C][C]-8.22824071727237[/C][/ROW]
[ROW][C]45[/C][C]82[/C][C]73.5257438527078[/C][C]8.47425614729217[/C][/ROW]
[ROW][C]46[/C][C]83.7[/C][C]75.2791435180818[/C][C]8.42085648191822[/C][/ROW]
[ROW][C]47[/C][C]74.8[/C][C]77.0214943133519[/C][C]-2.22149431335193[/C][/ROW]
[ROW][C]48[/C][C]80[/C][C]76.561847198849[/C][C]3.43815280115099[/C][/ROW]
[ROW][C]49[/C][C]74.3[/C][C]77.2732318757175[/C][C]-2.97323187571754[/C][/ROW]
[ROW][C]50[/C][C]76.8[/C][C]76.6580435116476[/C][C]0.141956488352406[/C][/ROW]
[ROW][C]51[/C][C]89[/C][C]76.6874155833491[/C][C]12.3125844166509[/C][/ROW]
[ROW][C]52[/C][C]81.9[/C][C]79.2349998221076[/C][C]2.66500017789241[/C][/ROW]
[ROW][C]53[/C][C]76.8[/C][C]79.7864122810797[/C][C]-2.98641228107972[/C][/ROW]
[ROW][C]54[/C][C]88.9[/C][C]79.1684967728275[/C][C]9.73150322717254[/C][/ROW]
[ROW][C]55[/C][C]75.8[/C][C]81.182032144609[/C][C]-5.382032144609[/C][/ROW]
[ROW][C]56[/C][C]75.5[/C][C]80.0684413824977[/C][C]-4.56844138249772[/C][/ROW]
[ROW][C]57[/C][C]89.1[/C][C]79.1231898522013[/C][C]9.97681014779872[/C][/ROW]
[ROW][C]58[/C][C]88[/C][C]81.1874814278388[/C][C]6.81251857216121[/C][/ROW]
[ROW][C]59[/C][C]85.9[/C][C]82.5970526724604[/C][C]3.30294732753957[/C][/ROW]
[ROW][C]60[/C][C]89.3[/C][C]83.2804621231774[/C][C]6.01953787682261[/C][/ROW]
[ROW][C]61[/C][C]82.9[/C][C]84.5259585438041[/C][C]-1.62595854380412[/C][/ROW]
[ROW][C]62[/C][C]81.2[/C][C]84.189533125801[/C][C]-2.98953312580102[/C][/ROW]
[ROW][C]63[/C][C]90.5[/C][C]83.5709718867619[/C][C]6.9290281132381[/C][/ROW]
[ROW][C]64[/C][C]86.4[/C][C]85.0046500012712[/C][C]1.39534999872885[/C][/ROW]
[ROW][C]65[/C][C]81.8[/C][C]85.2933604412586[/C][C]-3.49336044125856[/C][/ROW]
[ROW][C]66[/C][C]91.3[/C][C]84.5705528080847[/C][C]6.72944719191531[/C][/ROW]
[ROW][C]67[/C][C]73.4[/C][C]85.9629358384497[/C][C]-12.5629358384497[/C][/ROW]
[ROW][C]68[/C][C]76.6[/C][C]83.363551643261[/C][C]-6.76355164326097[/C][/ROW]
[ROW][C]69[/C][C]91[/C][C]81.9641120957766[/C][C]9.03588790422342[/C][/ROW]
[ROW][C]70[/C][C]87[/C][C]83.8337184131033[/C][C]3.16628158689674[/C][/ROW]
[ROW][C]71[/C][C]89.7[/C][C]84.4888504953119[/C][C]5.21114950468815[/C][/ROW]
[ROW][C]72[/C][C]90.7[/C][C]85.5670841053088[/C][C]5.13291589469118[/C][/ROW]
[ROW][C]73[/C][C]86.5[/C][C]86.6291304791395[/C][C]-0.129130479139519[/C][/ROW]
[ROW][C]74[/C][C]86.6[/C][C]86.6024122238759[/C][C]-0.00241222387587925[/C][/ROW]
[ROW][C]75[/C][C]98.8[/C][C]86.6019131131028[/C][C]12.1980868868972[/C][/ROW]
[ROW][C]76[/C][C]84.4[/C][C]89.1258067851772[/C][C]-4.72580678517716[/C][/ROW]
[ROW][C]77[/C][C]91.4[/C][C]88.1479949404881[/C][C]3.25200505951193[/C][/ROW]
[ROW][C]78[/C][C]95.7[/C][C]88.8208639786708[/C][C]6.87913602132919[/C][/ROW]
[ROW][C]79[/C][C]78.5[/C][C]90.2442189715117[/C][C]-11.7442189715117[/C][/ROW]
[ROW][C]80[/C][C]81.7[/C][C]87.8142346452405[/C][C]-6.1142346452405[/C][/ROW]
[ROW][C]81[/C][C]94.3[/C][C]86.5491446131899[/C][C]7.75085538681006[/C][/ROW]
[ROW][C]82[/C][C]98.5[/C][C]88.1528661676697[/C][C]10.3471338323303[/C][/ROW]
[ROW][C]83[/C][C]95.4[/C][C]90.2937810378184[/C][C]5.10621896218157[/C][/ROW]
[ROW][C]84[/C][C]91.7[/C][C]91.35030357667[/C][C]0.349696423330045[/C][/ROW]
[ROW][C]85[/C][C]92.8[/C][C]91.4226589056796[/C][C]1.37734109432039[/C][/ROW]
[ROW][C]86[/C][C]90.5[/C][C]91.7076431416894[/C][C]-1.20764314168937[/C][/ROW]
[ROW][C]87[/C][C]102.2[/C][C]91.4577709353594[/C][C]10.7422290646406[/C][/ROW]
[ROW][C]88[/C][C]91.8[/C][C]93.6804345556147[/C][C]-1.8804345556147[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]93.2913557664839[/C][C]1.70864423351607[/C][/ROW]
[ROW][C]90[/C][C]102[/C][C]93.6448895959101[/C][C]8.35511040408994[/C][/ROW]
[ROW][C]91[/C][C]88.9[/C][C]95.373636937513[/C][C]-6.47363693751299[/C][/ROW]
[ROW][C]92[/C][C]89.6[/C][C]94.0341833450446[/C][C]-4.43418334504463[/C][/ROW]
[ROW][C]93[/C][C]97.9[/C][C]93.116711007854[/C][C]4.783288992146[/C][/ROW]
[ROW][C]94[/C][C]108.6[/C][C]94.1064164371495[/C][C]14.4935835628505[/C][/ROW]
[ROW][C]95[/C][C]100.8[/C][C]97.1052689768254[/C][C]3.6947310231746[/C][/ROW]
[ROW][C]96[/C][C]95.1[/C][C]97.869741990985[/C][C]-2.76974199098501[/C][/ROW]
[ROW][C]97[/C][C]101[/C][C]97.2966575106773[/C][C]3.70334248932271[/C][/ROW]
[ROW][C]98[/C][C]100.9[/C][C]98.0629123144831[/C][C]2.83708768551691[/C][/ROW]
[ROW][C]99[/C][C]102.5[/C][C]98.6499312235128[/C][C]3.85006877648718[/C][/ROW]
[ROW][C]100[/C][C]105.4[/C][C]99.44654501321[/C][C]5.95345498678998[/C][/ROW]
[ROW][C]101[/C][C]98.4[/C][C]100.678368290701[/C][C]-2.27836829070111[/C][/ROW]
[ROW][C]102[/C][C]105.3[/C][C]100.20695343976[/C][C]5.09304656024017[/C][/ROW]
[ROW][C]103[/C][C]96.5[/C][C]101.260750490409[/C][C]-4.76075049040864[/C][/ROW]
[ROW][C]104[/C][C]88.1[/C][C]100.275708479438[/C][C]-12.1757084794377[/C][/ROW]
[ROW][C]105[/C][C]107.9[/C][C]97.7564451007448[/C][C]10.1435548992552[/C][/ROW]
[ROW][C]106[/C][C]107[/C][C]99.8552376622299[/C][C]7.14476233777012[/C][/ROW]
[ROW][C]107[/C][C]92.5[/C][C]101.333553124316[/C][C]-8.83355312431625[/C][/ROW]
[ROW][C]108[/C][C]95.7[/C][C]99.5058116891947[/C][C]-3.80581168919473[/C][/ROW]
[ROW][C]109[/C][C]85.2[/C][C]98.7183550881286[/C][C]-13.5183550881286[/C][/ROW]
[ROW][C]110[/C][C]85.5[/C][C]95.921286073935[/C][C]-10.421286073935[/C][/ROW]
[ROW][C]111[/C][C]94.7[/C][C]93.7650284393764[/C][C]0.934971560623609[/C][/ROW]
[ROW][C]112[/C][C]86.2[/C][C]93.9584824479687[/C][C]-7.75848244796869[/C][/ROW]
[ROW][C]113[/C][C]88.8[/C][C]92.3531827860715[/C][C]-3.55318278607155[/C][/ROW]
[ROW][C]114[/C][C]93.4[/C][C]91.6179973727652[/C][C]1.78200262723476[/C][/ROW]
[ROW][C]115[/C][C]83.4[/C][C]91.9867097123477[/C][C]-8.58670971234767[/C][/ROW]
[ROW][C]116[/C][C]82.9[/C][C]90.2100423949331[/C][C]-7.31004239493308[/C][/ROW]
[ROW][C]117[/C][C]96.7[/C][C]88.6975290053961[/C][C]8.00247099460385[/C][/ROW]
[ROW][C]118[/C][C]96.2[/C][C]90.3533120877363[/C][C]5.84668791226373[/C][/ROW]
[ROW][C]119[/C][C]92.8[/C][C]91.5630442991215[/C][C]1.23695570087845[/C][/ROW]
[ROW][C]120[/C][C]92.8[/C][C]91.8189815370696[/C][C]0.981018462930351[/C][/ROW]
[ROW][C]121[/C][C]90[/C][C]92.0219630630856[/C][C]-2.02196306308564[/C][/ROW]
[ROW][C]122[/C][C]95.4[/C][C]91.6036007553395[/C][C]3.79639924466048[/C][/ROW]
[ROW][C]123[/C][C]108.3[/C][C]92.3891098371414[/C][C]15.9108901628586[/C][/ROW]
[ROW][C]124[/C][C]96.3[/C][C]95.6812158347011[/C][C]0.618784165298862[/C][/ROW]
[ROW][C]125[/C][C]95[/C][C]95.8092478329692[/C][C]-0.809247832969248[/C][/ROW]
[ROW][C]126[/C][C]109[/C][C]95.6418071921779[/C][C]13.3581928078221[/C][/ROW]
[ROW][C]127[/C][C]92[/C][C]98.4057371928919[/C][C]-6.40573719289188[/C][/ROW]
[ROW][C]128[/C][C]92.3[/C][C]97.0803326670824[/C][C]-4.78033266708238[/C][/ROW]
[ROW][C]129[/C][C]107[/C][C]96.0912389279798[/C][C]10.9087610720202[/C][/ROW]
[ROW][C]130[/C][C]105.5[/C][C]98.3483595154235[/C][C]7.15164048457652[/C][/ROW]
[ROW][C]131[/C][C]105.4[/C][C]99.8280981278253[/C][C]5.57190187217475[/C][/ROW]
[ROW][C]132[/C][C]103.9[/C][C]100.980974640921[/C][C]2.91902535907931[/C][/ROW]
[ROW][C]133[/C][C]99.2[/C][C]101.584947190118[/C][C]-2.38494719011761[/C][/ROW]
[ROW][C]134[/C][C]102.2[/C][C]101.09148020819[/C][C]1.10851979181011[/C][/ROW]
[ROW][C]135[/C][C]121.5[/C][C]101.320842903657[/C][C]20.1791570963432[/C][/ROW]
[ROW][C]136[/C][C]102.3[/C][C]105.49609164352[/C][C]-3.19609164351967[/C][/ROW]
[ROW][C]137[/C][C]110[/C][C]104.834791593008[/C][C]5.16520840699187[/C][/ROW]
[ROW][C]138[/C][C]105.9[/C][C]105.903519577505[/C][C]-0.00351957750504539[/C][/ROW]
[ROW][C]139[/C][C]91.9[/C][C]105.902791345326[/C][C]-14.002791345326[/C][/ROW]
[ROW][C]140[/C][C]100[/C][C]103.005488121014[/C][C]-3.00548812101397[/C][/ROW]
[ROW][C]141[/C][C]111.7[/C][C]102.383625650247[/C][C]9.31637434975347[/C][/ROW]
[ROW][C]142[/C][C]104.9[/C][C]104.311267130918[/C][C]0.588732869081937[/C][/ROW]
[ROW][C]143[/C][C]103.3[/C][C]104.433081246246[/C][C]-1.13308124624579[/C][/ROW]
[ROW][C]144[/C][C]101.8[/C][C]104.198636565382[/C][C]-2.39863656538212[/C][/ROW]
[ROW][C]145[/C][C]100.8[/C][C]103.702337128831[/C][C]-2.90233712883055[/C][/ROW]
[ROW][C]146[/C][C]104.2[/C][C]103.101817524273[/C][C]1.09818247572731[/C][/ROW]
[ROW][C]147[/C][C]116.5[/C][C]103.32904133625[/C][C]13.17095866375[/C][/ROW]
[ROW][C]148[/C][C]97.9[/C][C]106.054230911863[/C][C]-8.15423091186278[/C][/ROW]
[ROW][C]149[/C][C]100.7[/C][C]104.367047340381[/C][C]-3.66704734038073[/C][/ROW]
[ROW][C]150[/C][C]107[/C][C]103.608302328692[/C][C]3.39169767130841[/C][/ROW]
[ROW][C]151[/C][C]96.3[/C][C]104.310075022195[/C][C]-8.01007502219485[/C][/ROW]
[ROW][C]152[/C][C]96[/C][C]102.652718598289[/C][C]-6.6527185982892[/C][/ROW]
[ROW][C]153[/C][C]104.5[/C][C]101.276211402694[/C][C]3.22378859730634[/C][/ROW]
[ROW][C]154[/C][C]107.4[/C][C]101.943242201563[/C][C]5.45675779843683[/C][/ROW]
[ROW][C]155[/C][C]102.4[/C][C]103.07229437222[/C][C]-0.672294372220435[/C][/ROW]
[ROW][C]156[/C][C]94.9[/C][C]102.93319063181[/C][C]-8.03319063181003[/C][/ROW]
[ROW][C]157[/C][C]98.8[/C][C]101.27105138078[/C][C]-2.47105138077953[/C][/ROW]
[ROW][C]158[/C][C]96.8[/C][C]100.759768668896[/C][C]-3.95976866889629[/C][/ROW]
[ROW][C]159[/C][C]108.2[/C][C]99.9404569867471[/C][C]8.25954301325291[/C][/ROW]
[ROW][C]160[/C][C]103.8[/C][C]101.649430577333[/C][C]2.15056942266737[/C][/ROW]
[ROW][C]161[/C][C]102.3[/C][C]102.094402695301[/C][C]0.205597304698841[/C][/ROW]
[ROW][C]162[/C][C]107.2[/C][C]102.136942623172[/C][C]5.0630573768285[/C][/ROW]
[ROW][C]163[/C][C]102[/C][C]103.184534642577[/C][C]-1.18453464257686[/C][/ROW]
[ROW][C]164[/C][C]92.6[/C][C]102.939443792145[/C][C]-10.3394437921449[/C][/ROW]
[ROW][C]165[/C][C]105.2[/C][C]100.80012006034[/C][C]4.39987993966047[/C][/ROW]
[ROW][C]166[/C][C]113[/C][C]101.710494715034[/C][C]11.2895052849657[/C][/ROW]
[ROW][C]167[/C][C]105.6[/C][C]104.046394697857[/C][C]1.55360530214284[/C][/ROW]
[ROW][C]168[/C][C]101.6[/C][C]104.367849580687[/C][C]-2.76784958068731[/C][/ROW]
[ROW][C]169[/C][C]101.7[/C][C]103.795156657057[/C][C]-2.09515665705726[/C][/ROW]
[ROW][C]170[/C][C]102.7[/C][C]103.361649937702[/C][C]-0.661649937701824[/C][/ROW]
[ROW][C]171[/C][C]109[/C][C]103.224748626342[/C][C]5.77525137365774[/C][/ROW]
[ROW][C]172[/C][C]105.5[/C][C]104.419699976645[/C][C]1.08030002335455[/C][/ROW]
[ROW][C]173[/C][C]103.3[/C][C]104.643223748706[/C][C]-1.34322374870639[/C][/ROW]
[ROW][C]174[/C][C]108.6[/C][C]104.365298697756[/C][C]4.23470130224415[/C][/ROW]
[ROW][C]175[/C][C]98.2[/C][C]105.241496409656[/C][C]-7.04149640965603[/C][/ROW]
[ROW][C]176[/C][C]90[/C][C]103.784547595055[/C][C]-13.784547595055[/C][/ROW]
[ROW][C]177[/C][C]112.4[/C][C]100.932400961722[/C][C]11.467599038278[/C][/ROW]
[ROW][C]178[/C][C]111.9[/C][C]103.30515014075[/C][C]8.59484985925013[/C][/ROW]
[ROW][C]179[/C][C]102.1[/C][C]105.083501727628[/C][C]-2.98350172762798[/C][/ROW]
[ROW][C]180[/C][C]102.4[/C][C]104.466188439011[/C][C]-2.06618843901124[/C][/ROW]
[ROW][C]181[/C][C]101.7[/C][C]104.038675504[/C][C]-2.33867550400048[/C][/ROW]
[ROW][C]182[/C][C]98.7[/C][C]103.554782549285[/C][C]-4.85478254928456[/C][/ROW]
[ROW][C]183[/C][C]114[/C][C]102.550284461261[/C][C]11.4497155387392[/C][/ROW]
[ROW][C]184[/C][C]105.1[/C][C]104.919333383704[/C][C]0.180666616295767[/C][/ROW]
[ROW][C]185[/C][C]98.3[/C][C]104.956714928356[/C][C]-6.65671492835561[/C][/ROW]
[ROW][C]186[/C][C]110[/C][C]103.579380856197[/C][C]6.42061914380341[/C][/ROW]
[ROW][C]187[/C][C]96.5[/C][C]104.907864591236[/C][C]-8.40786459123638[/C][/ROW]
[ROW][C]188[/C][C]92.2[/C][C]103.168201934769[/C][C]-10.968201934769[/C][/ROW]
[ROW][C]189[/C][C]112[/C][C]100.898782499256[/C][C]11.1012175007437[/C][/ROW]
[ROW][C]190[/C][C]111.4[/C][C]103.195724049373[/C][C]8.20427595062699[/C][/ROW]
[ROW][C]191[/C][C]107.5[/C][C]104.893262388601[/C][C]2.60673761139924[/C][/ROW]
[ROW][C]192[/C][C]103.4[/C][C]105.432619799576[/C][C]-2.03261979957607[/C][/ROW]
[ROW][C]193[/C][C]103.5[/C][C]105.012052517391[/C][C]-1.51205251739071[/C][/ROW]
[ROW][C]194[/C][C]107.4[/C][C]104.699195278721[/C][C]2.7008047212789[/C][/ROW]
[ROW][C]195[/C][C]117.6[/C][C]105.258016019117[/C][C]12.3419839808834[/C][/ROW]
[ROW][C]196[/C][C]110.2[/C][C]107.811683291618[/C][C]2.38831670838228[/C][/ROW]
[ROW][C]197[/C][C]104.3[/C][C]108.305847457121[/C][C]-4.00584745712064[/C][/ROW]
[ROW][C]198[/C][C]115.9[/C][C]107.477001660065[/C][C]8.42299833993482[/C][/ROW]
[ROW][C]199[/C][C]98.9[/C][C]109.219795624985[/C][C]-10.3197956249852[/C][/ROW]
[ROW][C]200[/C][C]101.9[/C][C]107.084537275335[/C][C]-5.1845372753354[/C][/ROW]
[ROW][C]201[/C][C]113.5[/C][C]106.011809974474[/C][C]7.48819002552588[/C][/ROW]
[ROW][C]202[/C][C]109.5[/C][C]107.561183707909[/C][C]1.93881629209099[/C][/ROW]
[ROW][C]203[/C][C]110[/C][C]107.962342202376[/C][C]2.03765779762418[/C][/ROW]
[ROW][C]204[/C][C]114.2[/C][C]108.383951891581[/C][C]5.81604810841948[/C][/ROW]
[ROW][C]205[/C][C]106.9[/C][C]109.587344452515[/C][C]-2.68734445251462[/C][/ROW]
[ROW][C]206[/C][C]109.2[/C][C]109.031308762552[/C][C]0.168691237448485[/C][/ROW]
[ROW][C]207[/C][C]124.2[/C][C]109.066212493823[/C][C]15.1337875061767[/C][/ROW]
[ROW][C]208[/C][C]104.7[/C][C]112.197528976114[/C][C]-7.4975289761142[/C][/ROW]
[ROW][C]209[/C][C]111.9[/C][C]110.646222929972[/C][C]1.25377707002778[/C][/ROW]
[ROW][C]210[/C][C]119[/C][C]110.905640660193[/C][C]8.09435933980697[/C][/ROW]
[ROW][C]211[/C][C]102.9[/C][C]112.580436265984[/C][C]-9.68043626598423[/C][/ROW]
[ROW][C]212[/C][C]106.3[/C][C]110.577467106871[/C][C]-4.27746710687116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312444&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312444&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
267.462.45.00000000000001
376.163.434544882109912.6654551178901
467.466.05514123647121.34485876352883
574.566.33340458666518.16659541333493
672.668.02314648449074.57685351550931
760.568.9701385606181-8.47013856061808
866.167.2175908608882-1.1175908608882
976.566.98635127980329.51364872019676
1076.868.95481059853757.84518940146251
117770.57805070743076.42194929256928
127171.9068096621901-0.906809662190128
1374.871.71918260317683.08081739682321
1473.772.35663137729651.34336862270347
1580.572.63458640397757.86541359602248
1671.874.2620110802661-2.46201108026611
1776.973.75259888770873.14740111229135
1879.974.40382443024235.49617556975772
1965.975.5410324916164-9.64103249161637
2069.573.5462163271249-4.04621632712491
2175.172.70901784849762.39098215150243
2279.673.20373351810826.39626648189183
2375.274.52717846879870.672821531201336
246874.6663912831342-6.6663912831342
2572.873.2870550863124-0.487055086312452
2671.573.1862790169424-1.68627901694242
2778.572.8373727515855.66262724841501
2876.874.00902115941382.79097884058621
2975.374.58649973453490.713500265465086
3076.774.73412934413911.9658706558609
3169.775.1408856293213-5.4408856293213
3267.874.0151175529293-6.21511755292933
3377.572.72915394171044.77084605828961
3482.573.7162848162988.78371518370204
3575.375.53371433414-0.233714334140004
3670.975.4853567404879-4.58535674048794
377674.53660527078391.46339472921608
3873.774.8393947763073-1.13939477630734
3979.774.6036437694015.09635623059897
4077.875.65812562055612.14187437944392
4173.376.1012986560313-2.80129865603129
4278.375.52168481845962.77831518154044
4371.976.0965431688498-4.19654316884976
446775.2282407172724-8.22824071727237
458273.52574385270788.47425614729217
4683.775.27914351808188.42085648191822
4774.877.0214943133519-2.22149431335193
488076.5618471988493.43815280115099
4974.377.2732318757175-2.97323187571754
5076.876.65804351164760.141956488352406
518976.687415583349112.3125844166509
5281.979.23499982210762.66500017789241
5376.879.7864122810797-2.98641228107972
5488.979.16849677282759.73150322717254
5575.881.182032144609-5.382032144609
5675.580.0684413824977-4.56844138249772
5789.179.12318985220139.97681014779872
588881.18748142783886.81251857216121
5985.982.59705267246043.30294732753957
6089.383.28046212317746.01953787682261
6182.984.5259585438041-1.62595854380412
6281.284.189533125801-2.98953312580102
6390.583.57097188676196.9290281132381
6486.485.00465000127121.39534999872885
6581.885.2933604412586-3.49336044125856
6691.384.57055280808476.72944719191531
6773.485.9629358384497-12.5629358384497
6876.683.363551643261-6.76355164326097
699181.96411209577669.03588790422342
708783.83371841310333.16628158689674
7189.784.48885049531195.21114950468815
7290.785.56708410530885.13291589469118
7386.586.6291304791395-0.129130479139519
7486.686.6024122238759-0.00241222387587925
7598.886.601913113102812.1980868868972
7684.489.1258067851772-4.72580678517716
7791.488.14799494048813.25200505951193
7895.788.82086397867086.87913602132919
7978.590.2442189715117-11.7442189715117
8081.787.8142346452405-6.1142346452405
8194.386.54914461318997.75085538681006
8298.588.152866167669710.3471338323303
8395.490.29378103781845.10621896218157
8491.791.350303576670.349696423330045
8592.891.42265890567961.37734109432039
8690.591.7076431416894-1.20764314168937
87102.291.457770935359410.7422290646406
8891.893.6804345556147-1.8804345556147
899593.29135576648391.70864423351607
9010293.64488959591018.35511040408994
9188.995.373636937513-6.47363693751299
9289.694.0341833450446-4.43418334504463
9397.993.1167110078544.783288992146
94108.694.106416437149514.4935835628505
95100.897.10526897682543.6947310231746
9695.197.869741990985-2.76974199098501
9710197.29665751067733.70334248932271
98100.998.06291231448312.83708768551691
99102.598.64993122351283.85006877648718
100105.499.446545013215.95345498678998
10198.4100.678368290701-2.27836829070111
102105.3100.206953439765.09304656024017
10396.5101.260750490409-4.76075049040864
10488.1100.275708479438-12.1757084794377
105107.997.756445100744810.1435548992552
10610799.85523766222997.14476233777012
10792.5101.333553124316-8.83355312431625
10895.799.5058116891947-3.80581168919473
10985.298.7183550881286-13.5183550881286
11085.595.921286073935-10.421286073935
11194.793.76502843937640.934971560623609
11286.293.9584824479687-7.75848244796869
11388.892.3531827860715-3.55318278607155
11493.491.61799737276521.78200262723476
11583.491.9867097123477-8.58670971234767
11682.990.2100423949331-7.31004239493308
11796.788.69752900539618.00247099460385
11896.290.35331208773635.84668791226373
11992.891.56304429912151.23695570087845
12092.891.81898153706960.981018462930351
1219092.0219630630856-2.02196306308564
12295.491.60360075533953.79639924466048
123108.392.389109837141415.9108901628586
12496.395.68121583470110.618784165298862
1259595.8092478329692-0.809247832969248
12610995.641807192177913.3581928078221
1279298.4057371928919-6.40573719289188
12892.397.0803326670824-4.78033266708238
12910796.091238927979810.9087610720202
130105.598.34835951542357.15164048457652
131105.499.82809812782535.57190187217475
132103.9100.9809746409212.91902535907931
13399.2101.584947190118-2.38494719011761
134102.2101.091480208191.10851979181011
135121.5101.32084290365720.1791570963432
136102.3105.49609164352-3.19609164351967
137110104.8347915930085.16520840699187
138105.9105.903519577505-0.00351957750504539
13991.9105.902791345326-14.002791345326
140100103.005488121014-3.00548812101397
141111.7102.3836256502479.31637434975347
142104.9104.3112671309180.588732869081937
143103.3104.433081246246-1.13308124624579
144101.8104.198636565382-2.39863656538212
145100.8103.702337128831-2.90233712883055
146104.2103.1018175242731.09818247572731
147116.5103.3290413362513.17095866375
14897.9106.054230911863-8.15423091186278
149100.7104.367047340381-3.66704734038073
150107103.6083023286923.39169767130841
15196.3104.310075022195-8.01007502219485
15296102.652718598289-6.6527185982892
153104.5101.2762114026943.22378859730634
154107.4101.9432422015635.45675779843683
155102.4103.07229437222-0.672294372220435
15694.9102.93319063181-8.03319063181003
15798.8101.27105138078-2.47105138077953
15896.8100.759768668896-3.95976866889629
159108.299.94045698674718.25954301325291
160103.8101.6494305773332.15056942266737
161102.3102.0944026953010.205597304698841
162107.2102.1369426231725.0630573768285
163102103.184534642577-1.18453464257686
16492.6102.939443792145-10.3394437921449
165105.2100.800120060344.39987993966047
166113101.71049471503411.2895052849657
167105.6104.0463946978571.55360530214284
168101.6104.367849580687-2.76784958068731
169101.7103.795156657057-2.09515665705726
170102.7103.361649937702-0.661649937701824
171109103.2247486263425.77525137365774
172105.5104.4196999766451.08030002335455
173103.3104.643223748706-1.34322374870639
174108.6104.3652986977564.23470130224415
17598.2105.241496409656-7.04149640965603
17690103.784547595055-13.784547595055
177112.4100.93240096172211.467599038278
178111.9103.305150140758.59484985925013
179102.1105.083501727628-2.98350172762798
180102.4104.466188439011-2.06618843901124
181101.7104.038675504-2.33867550400048
18298.7103.554782549285-4.85478254928456
183114102.55028446126111.4497155387392
184105.1104.9193333837040.180666616295767
18598.3104.956714928356-6.65671492835561
186110103.5793808561976.42061914380341
18796.5104.907864591236-8.40786459123638
18892.2103.168201934769-10.968201934769
189112100.89878249925611.1012175007437
190111.4103.1957240493738.20427595062699
191107.5104.8932623886012.60673761139924
192103.4105.432619799576-2.03261979957607
193103.5105.012052517391-1.51205251739071
194107.4104.6991952787212.7008047212789
195117.6105.25801601911712.3419839808834
196110.2107.8116832916182.38831670838228
197104.3108.305847457121-4.00584745712064
198115.9107.4770016600658.42299833993482
19998.9109.219795624985-10.3197956249852
200101.9107.084537275335-5.1845372753354
201113.5106.0118099744747.48819002552588
202109.5107.5611837079091.93881629209099
203110107.9623422023762.03765779762418
204114.2108.3839518915815.81604810841948
205106.9109.587344452515-2.68734445251462
206109.2109.0313087625520.168691237448485
207124.2109.06621249382315.1337875061767
208104.7112.197528976114-7.4975289761142
209111.9110.6462229299721.25377707002778
210119110.9056406601938.09435933980697
211102.9112.580436265984-9.68043626598423
212106.3110.577467106871-4.27746710687116







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
213109.6924207661196.9947578721548122.390083660065
214109.6924207661196.7258043860414122.659037146178
215109.6924207661196.4623172998781122.922524232341
216109.6924207661196.2039762632572123.180865268962
217109.6924207661195.9504910440558123.434350488164
218109.6924207661195.7015977072184123.683243825001
219109.6924207661195.4570553951562123.927786137063
220109.6924207661195.2166435978924124.168197934327
221109.6924207661194.9801598248669124.404681707353
222109.6924207661194.7474176084468124.637423923773
223109.6924207661194.518244783148124.866596749071
224109.6924207661194.2924819954123125.092359536807

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
213 & 109.69242076611 & 96.9947578721548 & 122.390083660065 \tabularnewline
214 & 109.69242076611 & 96.7258043860414 & 122.659037146178 \tabularnewline
215 & 109.69242076611 & 96.4623172998781 & 122.922524232341 \tabularnewline
216 & 109.69242076611 & 96.2039762632572 & 123.180865268962 \tabularnewline
217 & 109.69242076611 & 95.9504910440558 & 123.434350488164 \tabularnewline
218 & 109.69242076611 & 95.7015977072184 & 123.683243825001 \tabularnewline
219 & 109.69242076611 & 95.4570553951562 & 123.927786137063 \tabularnewline
220 & 109.69242076611 & 95.2166435978924 & 124.168197934327 \tabularnewline
221 & 109.69242076611 & 94.9801598248669 & 124.404681707353 \tabularnewline
222 & 109.69242076611 & 94.7474176084468 & 124.637423923773 \tabularnewline
223 & 109.69242076611 & 94.518244783148 & 124.866596749071 \tabularnewline
224 & 109.69242076611 & 94.2924819954123 & 125.092359536807 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=312444&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]109.69242076611[/C][C]96.9947578721548[/C][C]122.390083660065[/C][/ROW]
[ROW][C]214[/C][C]109.69242076611[/C][C]96.7258043860414[/C][C]122.659037146178[/C][/ROW]
[ROW][C]215[/C][C]109.69242076611[/C][C]96.4623172998781[/C][C]122.922524232341[/C][/ROW]
[ROW][C]216[/C][C]109.69242076611[/C][C]96.2039762632572[/C][C]123.180865268962[/C][/ROW]
[ROW][C]217[/C][C]109.69242076611[/C][C]95.9504910440558[/C][C]123.434350488164[/C][/ROW]
[ROW][C]218[/C][C]109.69242076611[/C][C]95.7015977072184[/C][C]123.683243825001[/C][/ROW]
[ROW][C]219[/C][C]109.69242076611[/C][C]95.4570553951562[/C][C]123.927786137063[/C][/ROW]
[ROW][C]220[/C][C]109.69242076611[/C][C]95.2166435978924[/C][C]124.168197934327[/C][/ROW]
[ROW][C]221[/C][C]109.69242076611[/C][C]94.9801598248669[/C][C]124.404681707353[/C][/ROW]
[ROW][C]222[/C][C]109.69242076611[/C][C]94.7474176084468[/C][C]124.637423923773[/C][/ROW]
[ROW][C]223[/C][C]109.69242076611[/C][C]94.518244783148[/C][C]124.866596749071[/C][/ROW]
[ROW][C]224[/C][C]109.69242076611[/C][C]94.2924819954123[/C][C]125.092359536807[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=312444&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=312444&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
213109.6924207661196.9947578721548122.390083660065
214109.6924207661196.7258043860414122.659037146178
215109.6924207661196.4623172998781122.922524232341
216109.6924207661196.2039762632572123.180865268962
217109.6924207661195.9504910440558123.434350488164
218109.6924207661195.7015977072184123.683243825001
219109.6924207661195.4570553951562123.927786137063
220109.6924207661195.2166435978924124.168197934327
221109.6924207661194.9801598248669124.404681707353
222109.6924207661194.7474176084468124.637423923773
223109.6924207661194.518244783148124.866596749071
224109.6924207661194.2924819954123125.092359536807



Parameters (Session):
par1 = pearson ;
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')