Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 01 Jun 2008 13:30:07 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Jun/01/t1212348671ngajh0z1j5c3y7w.htm/, Retrieved Sat, 18 May 2024 17:36:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13744, Retrieved Sat, 18 May 2024 17:36:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact215
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 oef 1 w...] [2008-06-01 19:30:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 7 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13744&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13744&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.274854973274752
beta0.0174528263411903
gamma0.87662614165094

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.274854973274752 \tabularnewline
beta & 0.0174528263411903 \tabularnewline
gamma & 0.87662614165094 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13744&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]0.274854973274752[/C][/ROW]
[ROW][C]beta[/C][C]0.0174528263411903[/C][/ROW]
[ROW][C]gamma[/C][C]0.87662614165094[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13744&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
alpha0.274854973274752
beta0.0174528263411903
gamma0.87662614165094







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115107.3710849890807.62891501092015
14126120.1781008443225.82189915567754
15141136.5427254544134.45727454558738
16135132.4815836295792.51841637042088
17125124.2856610060300.714338993970415
18149149.172962641139-0.172962641138525
19170170.015932902319-0.0159329023193209
20170169.7893416367740.210658363226145
21158157.3423952026480.657604797352178
22133132.0310020846690.968997915330988
23114112.6179698856741.38203011432574
24140137.8117996926172.18820030738303
25145141.8692702960473.13072970395265
26150154.230670503883-4.23067050388335
27178169.5787368905648.42126310943615
28163163.535279134548-0.53527913454775
29172150.88028004562921.1197199543707
30178186.563274816568-8.56327481656808
31199209.729942557624-10.7299425576245
32199206.262536204416-7.26253620441608
33184189.192943072255-5.19294307225505
34162157.3731264624384.62687353756198
35146135.20215911860310.7978408813968
36166168.589898544461-2.58989854446054
37171172.425057807298-1.4250578072984
38180179.7981101951030.201889804897291
39193208.778128013111-15.7781280131105
40181187.887029385977-6.88702938597666
41183186.514735444686-3.51473544468621
42218197.08357156043520.9164284395648
43230229.7187916738410.281208326158975
44242231.30786852375710.6921314762426
45209217.760016067638-8.760016067638
46191186.8598417157944.14015828420614
47172164.8817908293737.11820917062684
48194191.7605206334022.23947936659772
49196198.225633501461-2.22563350146129
50196207.499397891270-11.4993978912703
51236225.08580303630310.9141969636969
52235214.99358547569520.0064145243045
53229223.5146820648135.48531793518654
54243257.580294276997-14.580294276997
55264269.438427422852-5.43842742285165
56272277.013533669516-5.01353366951633
57237242.283067701004-5.28306770100352
58211217.26966644941-6.2696664494101
59180191.255685703346-11.2556857033463
60201211.817969221856-10.8179692218559
61204211.761924088343-7.76192408834271
62188213.438092509385-25.438092509385
63235242.602402461502-7.60240246150227
64227232.273607722294-5.27360772229409
65234224.1929959038389.80700409616168
66264245.92177605952318.0782239404773
67302272.68729581374229.3127041862583
68293290.2644898893452.73551011065513
69259254.8770266754484.12297332455199
70229229.645523391416-0.645523391416248
71203199.3508463414093.64915365859133
72229226.5492854935682.45071450643229
73242232.4776402707379.52235972926283
74233225.8292127073557.17078729264486
75267284.583524923987-17.5835249239866
76269271.656501420331-2.65650142033064
77270274.320820653381-4.32082065338085
78315301.24096612443413.7590338755660
79364337.92534612548426.0746538745155
80347336.45047330856410.5495266914356
81312298.36579357378913.6342064262112
82274267.7050699402846.29493005971631
83237237.161751900662-0.161751900661926
84278266.80556411888111.1944358811188
85284281.2623727120952.73762728790541
86277269.3240123721397.67598762786082
87317319.086032989223-2.08603298922259
88313320.134667969163-7.1346679691627
89318320.883864334419-2.8838643344194
90374366.8082359971347.1917640028663
91413416.186680240357-3.18668024035730
92405393.84100233643711.1589976635631
93355351.8953684848453.10463151515455
94306308.227400182515-2.22740018251483
95271266.5483211972814.45167880271862
96306309.229239358864-3.22923935886399
97315314.8295796156570.170420384342776
98301304.046984776360-3.04698477636032
99356348.4407522274577.55924777254279
100348348.516511754091-0.5165117540908
101355354.1833144430220.81668555697837
102422413.3211771205668.67882287943371
103465460.9013714789584.09862852104231
104467447.95627861335819.0437213866424
105404396.7880429355457.21195706445536
106347344.7787899643792.22121003562074
107305303.7409768961751.25902310382537
108336345.057657654639-9.05765765463929
109340352.101440452606-12.1014404526057
110318334.349057334057-16.3490573340572
111362386.496757849826-24.4967578498258
112348371.824983369092-23.8249833690921
113363371.88300074848-8.88300074847996
114435435.460725333532-0.460725333531684
115491478.48539730247112.5146026975285
116505476.53277246475528.4672275352454
117404417.38054896059-13.3805489605897
118359354.6728320995374.3271679004626
119310312.158635349119-2.15863534911881
120337346.306881338648-9.30688133864777
121360351.0434157992188.95658420078223
122342335.30444725836.69555274170017
123406390.8940042128815.1059957871199
124396386.4590190260989.5409809739022
125420406.89634079588713.1036592041131
126472491.070479548327-19.0704795483272
127548543.1420149335894.85798506641106
128559549.3777111992749.62228880072553
129463449.02975219735513.9702478026455
130407399.455417885037.5445821149699
131362347.97506066183214.0249393381676
132405386.0853246755418.9146753244597
133417413.286872743853.7131272561499
134391391.752860004379-0.752860004379386
135419459.317214052471-40.3172140524709
136461434.69335819941526.3066418005853
137472464.2798745525527.72012544744837
138535533.1585030241461.84149697585428
139622615.3871343920816.61286560791859
140606626.140064584157-20.1400645841572
141508509.020761738341-1.02076173834143
142461445.27071573458415.7292842654155
143390394.727036901138-4.72703690113809
144432433.867514911904-1.86751491190398

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 107.371084989080 & 7.62891501092015 \tabularnewline
14 & 126 & 120.178100844322 & 5.82189915567754 \tabularnewline
15 & 141 & 136.542725454413 & 4.45727454558738 \tabularnewline
16 & 135 & 132.481583629579 & 2.51841637042088 \tabularnewline
17 & 125 & 124.285661006030 & 0.714338993970415 \tabularnewline
18 & 149 & 149.172962641139 & -0.172962641138525 \tabularnewline
19 & 170 & 170.015932902319 & -0.0159329023193209 \tabularnewline
20 & 170 & 169.789341636774 & 0.210658363226145 \tabularnewline
21 & 158 & 157.342395202648 & 0.657604797352178 \tabularnewline
22 & 133 & 132.031002084669 & 0.968997915330988 \tabularnewline
23 & 114 & 112.617969885674 & 1.38203011432574 \tabularnewline
24 & 140 & 137.811799692617 & 2.18820030738303 \tabularnewline
25 & 145 & 141.869270296047 & 3.13072970395265 \tabularnewline
26 & 150 & 154.230670503883 & -4.23067050388335 \tabularnewline
27 & 178 & 169.578736890564 & 8.42126310943615 \tabularnewline
28 & 163 & 163.535279134548 & -0.53527913454775 \tabularnewline
29 & 172 & 150.880280045629 & 21.1197199543707 \tabularnewline
30 & 178 & 186.563274816568 & -8.56327481656808 \tabularnewline
31 & 199 & 209.729942557624 & -10.7299425576245 \tabularnewline
32 & 199 & 206.262536204416 & -7.26253620441608 \tabularnewline
33 & 184 & 189.192943072255 & -5.19294307225505 \tabularnewline
34 & 162 & 157.373126462438 & 4.62687353756198 \tabularnewline
35 & 146 & 135.202159118603 & 10.7978408813968 \tabularnewline
36 & 166 & 168.589898544461 & -2.58989854446054 \tabularnewline
37 & 171 & 172.425057807298 & -1.4250578072984 \tabularnewline
38 & 180 & 179.798110195103 & 0.201889804897291 \tabularnewline
39 & 193 & 208.778128013111 & -15.7781280131105 \tabularnewline
40 & 181 & 187.887029385977 & -6.88702938597666 \tabularnewline
41 & 183 & 186.514735444686 & -3.51473544468621 \tabularnewline
42 & 218 & 197.083571560435 & 20.9164284395648 \tabularnewline
43 & 230 & 229.718791673841 & 0.281208326158975 \tabularnewline
44 & 242 & 231.307868523757 & 10.6921314762426 \tabularnewline
45 & 209 & 217.760016067638 & -8.760016067638 \tabularnewline
46 & 191 & 186.859841715794 & 4.14015828420614 \tabularnewline
47 & 172 & 164.881790829373 & 7.11820917062684 \tabularnewline
48 & 194 & 191.760520633402 & 2.23947936659772 \tabularnewline
49 & 196 & 198.225633501461 & -2.22563350146129 \tabularnewline
50 & 196 & 207.499397891270 & -11.4993978912703 \tabularnewline
51 & 236 & 225.085803036303 & 10.9141969636969 \tabularnewline
52 & 235 & 214.993585475695 & 20.0064145243045 \tabularnewline
53 & 229 & 223.514682064813 & 5.48531793518654 \tabularnewline
54 & 243 & 257.580294276997 & -14.580294276997 \tabularnewline
55 & 264 & 269.438427422852 & -5.43842742285165 \tabularnewline
56 & 272 & 277.013533669516 & -5.01353366951633 \tabularnewline
57 & 237 & 242.283067701004 & -5.28306770100352 \tabularnewline
58 & 211 & 217.26966644941 & -6.2696664494101 \tabularnewline
59 & 180 & 191.255685703346 & -11.2556857033463 \tabularnewline
60 & 201 & 211.817969221856 & -10.8179692218559 \tabularnewline
61 & 204 & 211.761924088343 & -7.76192408834271 \tabularnewline
62 & 188 & 213.438092509385 & -25.438092509385 \tabularnewline
63 & 235 & 242.602402461502 & -7.60240246150227 \tabularnewline
64 & 227 & 232.273607722294 & -5.27360772229409 \tabularnewline
65 & 234 & 224.192995903838 & 9.80700409616168 \tabularnewline
66 & 264 & 245.921776059523 & 18.0782239404773 \tabularnewline
67 & 302 & 272.687295813742 & 29.3127041862583 \tabularnewline
68 & 293 & 290.264489889345 & 2.73551011065513 \tabularnewline
69 & 259 & 254.877026675448 & 4.12297332455199 \tabularnewline
70 & 229 & 229.645523391416 & -0.645523391416248 \tabularnewline
71 & 203 & 199.350846341409 & 3.64915365859133 \tabularnewline
72 & 229 & 226.549285493568 & 2.45071450643229 \tabularnewline
73 & 242 & 232.477640270737 & 9.52235972926283 \tabularnewline
74 & 233 & 225.829212707355 & 7.17078729264486 \tabularnewline
75 & 267 & 284.583524923987 & -17.5835249239866 \tabularnewline
76 & 269 & 271.656501420331 & -2.65650142033064 \tabularnewline
77 & 270 & 274.320820653381 & -4.32082065338085 \tabularnewline
78 & 315 & 301.240966124434 & 13.7590338755660 \tabularnewline
79 & 364 & 337.925346125484 & 26.0746538745155 \tabularnewline
80 & 347 & 336.450473308564 & 10.5495266914356 \tabularnewline
81 & 312 & 298.365793573789 & 13.6342064262112 \tabularnewline
82 & 274 & 267.705069940284 & 6.29493005971631 \tabularnewline
83 & 237 & 237.161751900662 & -0.161751900661926 \tabularnewline
84 & 278 & 266.805564118881 & 11.1944358811188 \tabularnewline
85 & 284 & 281.262372712095 & 2.73762728790541 \tabularnewline
86 & 277 & 269.324012372139 & 7.67598762786082 \tabularnewline
87 & 317 & 319.086032989223 & -2.08603298922259 \tabularnewline
88 & 313 & 320.134667969163 & -7.1346679691627 \tabularnewline
89 & 318 & 320.883864334419 & -2.8838643344194 \tabularnewline
90 & 374 & 366.808235997134 & 7.1917640028663 \tabularnewline
91 & 413 & 416.186680240357 & -3.18668024035730 \tabularnewline
92 & 405 & 393.841002336437 & 11.1589976635631 \tabularnewline
93 & 355 & 351.895368484845 & 3.10463151515455 \tabularnewline
94 & 306 & 308.227400182515 & -2.22740018251483 \tabularnewline
95 & 271 & 266.548321197281 & 4.45167880271862 \tabularnewline
96 & 306 & 309.229239358864 & -3.22923935886399 \tabularnewline
97 & 315 & 314.829579615657 & 0.170420384342776 \tabularnewline
98 & 301 & 304.046984776360 & -3.04698477636032 \tabularnewline
99 & 356 & 348.440752227457 & 7.55924777254279 \tabularnewline
100 & 348 & 348.516511754091 & -0.5165117540908 \tabularnewline
101 & 355 & 354.183314443022 & 0.81668555697837 \tabularnewline
102 & 422 & 413.321177120566 & 8.67882287943371 \tabularnewline
103 & 465 & 460.901371478958 & 4.09862852104231 \tabularnewline
104 & 467 & 447.956278613358 & 19.0437213866424 \tabularnewline
105 & 404 & 396.788042935545 & 7.21195706445536 \tabularnewline
106 & 347 & 344.778789964379 & 2.22121003562074 \tabularnewline
107 & 305 & 303.740976896175 & 1.25902310382537 \tabularnewline
108 & 336 & 345.057657654639 & -9.05765765463929 \tabularnewline
109 & 340 & 352.101440452606 & -12.1014404526057 \tabularnewline
110 & 318 & 334.349057334057 & -16.3490573340572 \tabularnewline
111 & 362 & 386.496757849826 & -24.4967578498258 \tabularnewline
112 & 348 & 371.824983369092 & -23.8249833690921 \tabularnewline
113 & 363 & 371.88300074848 & -8.88300074847996 \tabularnewline
114 & 435 & 435.460725333532 & -0.460725333531684 \tabularnewline
115 & 491 & 478.485397302471 & 12.5146026975285 \tabularnewline
116 & 505 & 476.532772464755 & 28.4672275352454 \tabularnewline
117 & 404 & 417.38054896059 & -13.3805489605897 \tabularnewline
118 & 359 & 354.672832099537 & 4.3271679004626 \tabularnewline
119 & 310 & 312.158635349119 & -2.15863534911881 \tabularnewline
120 & 337 & 346.306881338648 & -9.30688133864777 \tabularnewline
121 & 360 & 351.043415799218 & 8.95658420078223 \tabularnewline
122 & 342 & 335.3044472583 & 6.69555274170017 \tabularnewline
123 & 406 & 390.89400421288 & 15.1059957871199 \tabularnewline
124 & 396 & 386.459019026098 & 9.5409809739022 \tabularnewline
125 & 420 & 406.896340795887 & 13.1036592041131 \tabularnewline
126 & 472 & 491.070479548327 & -19.0704795483272 \tabularnewline
127 & 548 & 543.142014933589 & 4.85798506641106 \tabularnewline
128 & 559 & 549.377711199274 & 9.62228880072553 \tabularnewline
129 & 463 & 449.029752197355 & 13.9702478026455 \tabularnewline
130 & 407 & 399.45541788503 & 7.5445821149699 \tabularnewline
131 & 362 & 347.975060661832 & 14.0249393381676 \tabularnewline
132 & 405 & 386.08532467554 & 18.9146753244597 \tabularnewline
133 & 417 & 413.28687274385 & 3.7131272561499 \tabularnewline
134 & 391 & 391.752860004379 & -0.752860004379386 \tabularnewline
135 & 419 & 459.317214052471 & -40.3172140524709 \tabularnewline
136 & 461 & 434.693358199415 & 26.3066418005853 \tabularnewline
137 & 472 & 464.279874552552 & 7.72012544744837 \tabularnewline
138 & 535 & 533.158503024146 & 1.84149697585428 \tabularnewline
139 & 622 & 615.387134392081 & 6.61286560791859 \tabularnewline
140 & 606 & 626.140064584157 & -20.1400645841572 \tabularnewline
141 & 508 & 509.020761738341 & -1.02076173834143 \tabularnewline
142 & 461 & 445.270715734584 & 15.7292842654155 \tabularnewline
143 & 390 & 394.727036901138 & -4.72703690113809 \tabularnewline
144 & 432 & 433.867514911904 & -1.86751491190398 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13744&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]13[/C][C]115[/C][C]107.371084989080[/C][C]7.62891501092015[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]120.178100844322[/C][C]5.82189915567754[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]136.542725454413[/C][C]4.45727454558738[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.481583629579[/C][C]2.51841637042088[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]124.285661006030[/C][C]0.714338993970415[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]149.172962641139[/C][C]-0.172962641138525[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]170.015932902319[/C][C]-0.0159329023193209[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]169.789341636774[/C][C]0.210658363226145[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]157.342395202648[/C][C]0.657604797352178[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]132.031002084669[/C][C]0.968997915330988[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]112.617969885674[/C][C]1.38203011432574[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]137.811799692617[/C][C]2.18820030738303[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]141.869270296047[/C][C]3.13072970395265[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]154.230670503883[/C][C]-4.23067050388335[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]169.578736890564[/C][C]8.42126310943615[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]163.535279134548[/C][C]-0.53527913454775[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]150.880280045629[/C][C]21.1197199543707[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]186.563274816568[/C][C]-8.56327481656808[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]209.729942557624[/C][C]-10.7299425576245[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]206.262536204416[/C][C]-7.26253620441608[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]189.192943072255[/C][C]-5.19294307225505[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]157.373126462438[/C][C]4.62687353756198[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]135.202159118603[/C][C]10.7978408813968[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]168.589898544461[/C][C]-2.58989854446054[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.425057807298[/C][C]-1.4250578072984[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]179.798110195103[/C][C]0.201889804897291[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]208.778128013111[/C][C]-15.7781280131105[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]187.887029385977[/C][C]-6.88702938597666[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]186.514735444686[/C][C]-3.51473544468621[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]197.083571560435[/C][C]20.9164284395648[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]229.718791673841[/C][C]0.281208326158975[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]231.307868523757[/C][C]10.6921314762426[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]217.760016067638[/C][C]-8.760016067638[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.859841715794[/C][C]4.14015828420614[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]164.881790829373[/C][C]7.11820917062684[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]191.760520633402[/C][C]2.23947936659772[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.225633501461[/C][C]-2.22563350146129[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]207.499397891270[/C][C]-11.4993978912703[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]225.085803036303[/C][C]10.9141969636969[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.993585475695[/C][C]20.0064145243045[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]223.514682064813[/C][C]5.48531793518654[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]257.580294276997[/C][C]-14.580294276997[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]269.438427422852[/C][C]-5.43842742285165[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]277.013533669516[/C][C]-5.01353366951633[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]242.283067701004[/C][C]-5.28306770100352[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]217.26966644941[/C][C]-6.2696664494101[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.255685703346[/C][C]-11.2556857033463[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]211.817969221856[/C][C]-10.8179692218559[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.761924088343[/C][C]-7.76192408834271[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.438092509385[/C][C]-25.438092509385[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]242.602402461502[/C][C]-7.60240246150227[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]232.273607722294[/C][C]-5.27360772229409[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.192995903838[/C][C]9.80700409616168[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]245.921776059523[/C][C]18.0782239404773[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]272.687295813742[/C][C]29.3127041862583[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]290.264489889345[/C][C]2.73551011065513[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]254.877026675448[/C][C]4.12297332455199[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]229.645523391416[/C][C]-0.645523391416248[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]199.350846341409[/C][C]3.64915365859133[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.549285493568[/C][C]2.45071450643229[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.477640270737[/C][C]9.52235972926283[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]225.829212707355[/C][C]7.17078729264486[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.583524923987[/C][C]-17.5835249239866[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.656501420331[/C][C]-2.65650142033064[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.320820653381[/C][C]-4.32082065338085[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.240966124434[/C][C]13.7590338755660[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.925346125484[/C][C]26.0746538745155[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]336.450473308564[/C][C]10.5495266914356[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.365793573789[/C][C]13.6342064262112[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.705069940284[/C][C]6.29493005971631[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]237.161751900662[/C][C]-0.161751900661926[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.805564118881[/C][C]11.1944358811188[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.262372712095[/C][C]2.73762728790541[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.324012372139[/C][C]7.67598762786082[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]319.086032989223[/C][C]-2.08603298922259[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]320.134667969163[/C][C]-7.1346679691627[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]320.883864334419[/C][C]-2.8838643344194[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]366.808235997134[/C][C]7.1917640028663[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]416.186680240357[/C][C]-3.18668024035730[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]393.841002336437[/C][C]11.1589976635631[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]351.895368484845[/C][C]3.10463151515455[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.227400182515[/C][C]-2.22740018251483[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.548321197281[/C][C]4.45167880271862[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.229239358864[/C][C]-3.22923935886399[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]314.829579615657[/C][C]0.170420384342776[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.046984776360[/C][C]-3.04698477636032[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]348.440752227457[/C][C]7.55924777254279[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]348.516511754091[/C][C]-0.5165117540908[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]354.183314443022[/C][C]0.81668555697837[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]413.321177120566[/C][C]8.67882287943371[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]460.901371478958[/C][C]4.09862852104231[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]447.956278613358[/C][C]19.0437213866424[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]396.788042935545[/C][C]7.21195706445536[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]344.778789964379[/C][C]2.22121003562074[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]303.740976896175[/C][C]1.25902310382537[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.057657654639[/C][C]-9.05765765463929[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.101440452606[/C][C]-12.1014404526057[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.349057334057[/C][C]-16.3490573340572[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.496757849826[/C][C]-24.4967578498258[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]371.824983369092[/C][C]-23.8249833690921[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]371.88300074848[/C][C]-8.88300074847996[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.460725333532[/C][C]-0.460725333531684[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.485397302471[/C][C]12.5146026975285[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.532772464755[/C][C]28.4672275352454[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.38054896059[/C][C]-13.3805489605897[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.672832099537[/C][C]4.3271679004626[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]312.158635349119[/C][C]-2.15863534911881[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]346.306881338648[/C][C]-9.30688133864777[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]351.043415799218[/C][C]8.95658420078223[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]335.3044472583[/C][C]6.69555274170017[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.89400421288[/C][C]15.1059957871199[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.459019026098[/C][C]9.5409809739022[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]406.896340795887[/C][C]13.1036592041131[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.070479548327[/C][C]-19.0704795483272[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.142014933589[/C][C]4.85798506641106[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.377711199274[/C][C]9.62228880072553[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.029752197355[/C][C]13.9702478026455[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.45541788503[/C][C]7.5445821149699[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]347.975060661832[/C][C]14.0249393381676[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.08532467554[/C][C]18.9146753244597[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.28687274385[/C][C]3.7131272561499[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]391.752860004379[/C][C]-0.752860004379386[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]459.317214052471[/C][C]-40.3172140524709[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]434.693358199415[/C][C]26.3066418005853[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]464.279874552552[/C][C]7.72012544744837[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]533.158503024146[/C][C]1.84149697585428[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]615.387134392081[/C][C]6.61286560791859[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]626.140064584157[/C][C]-20.1400645841572[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]509.020761738341[/C][C]-1.02076173834143[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]445.270715734584[/C][C]15.7292842654155[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]394.727036901138[/C][C]-4.72703690113809[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]433.867514911904[/C][C]-1.86751491190398[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13744&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13744&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
13115107.3710849890807.62891501092015
14126120.1781008443225.82189915567754
15141136.5427254544134.45727454558738
16135132.4815836295792.51841637042088
17125124.2856610060300.714338993970415
18149149.172962641139-0.172962641138525
19170170.015932902319-0.0159329023193209
20170169.7893416367740.210658363226145
21158157.3423952026480.657604797352178
22133132.0310020846690.968997915330988
23114112.6179698856741.38203011432574
24140137.8117996926172.18820030738303
25145141.8692702960473.13072970395265
26150154.230670503883-4.23067050388335
27178169.5787368905648.42126310943615
28163163.535279134548-0.53527913454775
29172150.88028004562921.1197199543707
30178186.563274816568-8.56327481656808
31199209.729942557624-10.7299425576245
32199206.262536204416-7.26253620441608
33184189.192943072255-5.19294307225505
34162157.3731264624384.62687353756198
35146135.20215911860310.7978408813968
36166168.589898544461-2.58989854446054
37171172.425057807298-1.4250578072984
38180179.7981101951030.201889804897291
39193208.778128013111-15.7781280131105
40181187.887029385977-6.88702938597666
41183186.514735444686-3.51473544468621
42218197.08357156043520.9164284395648
43230229.7187916738410.281208326158975
44242231.30786852375710.6921314762426
45209217.760016067638-8.760016067638
46191186.8598417157944.14015828420614
47172164.8817908293737.11820917062684
48194191.7605206334022.23947936659772
49196198.225633501461-2.22563350146129
50196207.499397891270-11.4993978912703
51236225.08580303630310.9141969636969
52235214.99358547569520.0064145243045
53229223.5146820648135.48531793518654
54243257.580294276997-14.580294276997
55264269.438427422852-5.43842742285165
56272277.013533669516-5.01353366951633
57237242.283067701004-5.28306770100352
58211217.26966644941-6.2696664494101
59180191.255685703346-11.2556857033463
60201211.817969221856-10.8179692218559
61204211.761924088343-7.76192408834271
62188213.438092509385-25.438092509385
63235242.602402461502-7.60240246150227
64227232.273607722294-5.27360772229409
65234224.1929959038389.80700409616168
66264245.92177605952318.0782239404773
67302272.68729581374229.3127041862583
68293290.2644898893452.73551011065513
69259254.8770266754484.12297332455199
70229229.645523391416-0.645523391416248
71203199.3508463414093.64915365859133
72229226.5492854935682.45071450643229
73242232.4776402707379.52235972926283
74233225.8292127073557.17078729264486
75267284.583524923987-17.5835249239866
76269271.656501420331-2.65650142033064
77270274.320820653381-4.32082065338085
78315301.24096612443413.7590338755660
79364337.92534612548426.0746538745155
80347336.45047330856410.5495266914356
81312298.36579357378913.6342064262112
82274267.7050699402846.29493005971631
83237237.161751900662-0.161751900661926
84278266.80556411888111.1944358811188
85284281.2623727120952.73762728790541
86277269.3240123721397.67598762786082
87317319.086032989223-2.08603298922259
88313320.134667969163-7.1346679691627
89318320.883864334419-2.8838643344194
90374366.8082359971347.1917640028663
91413416.186680240357-3.18668024035730
92405393.84100233643711.1589976635631
93355351.8953684848453.10463151515455
94306308.227400182515-2.22740018251483
95271266.5483211972814.45167880271862
96306309.229239358864-3.22923935886399
97315314.8295796156570.170420384342776
98301304.046984776360-3.04698477636032
99356348.4407522274577.55924777254279
100348348.516511754091-0.5165117540908
101355354.1833144430220.81668555697837
102422413.3211771205668.67882287943371
103465460.9013714789584.09862852104231
104467447.95627861335819.0437213866424
105404396.7880429355457.21195706445536
106347344.7787899643792.22121003562074
107305303.7409768961751.25902310382537
108336345.057657654639-9.05765765463929
109340352.101440452606-12.1014404526057
110318334.349057334057-16.3490573340572
111362386.496757849826-24.4967578498258
112348371.824983369092-23.8249833690921
113363371.88300074848-8.88300074847996
114435435.460725333532-0.460725333531684
115491478.48539730247112.5146026975285
116505476.53277246475528.4672275352454
117404417.38054896059-13.3805489605897
118359354.6728320995374.3271679004626
119310312.158635349119-2.15863534911881
120337346.306881338648-9.30688133864777
121360351.0434157992188.95658420078223
122342335.30444725836.69555274170017
123406390.8940042128815.1059957871199
124396386.4590190260989.5409809739022
125420406.89634079588713.1036592041131
126472491.070479548327-19.0704795483272
127548543.1420149335894.85798506641106
128559549.3777111992749.62228880072553
129463449.02975219735513.9702478026455
130407399.455417885037.5445821149699
131362347.97506066183214.0249393381676
132405386.0853246755418.9146753244597
133417413.286872743853.7131272561499
134391391.752860004379-0.752860004379386
135419459.317214052471-40.3172140524709
136461434.69335819941526.3066418005853
137472464.2798745525527.72012544744837
138535533.1585030241461.84149697585428
139622615.3871343920816.61286560791859
140606626.140064584157-20.1400645841572
141508509.020761738341-1.02076173834143
142461445.27071573458415.7292842654155
143390394.727036901138-4.72703690113809
144432433.867514911904-1.86751491190398







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145446.397513472092426.688822667634466.10620427655
146418.986547994825398.484502103232439.488593886419
147463.749707173368442.006591734538485.492822612197
148494.965042338409471.988876595052517.941208081766
149506.122949107584482.136276962898530.109621252269
150573.550385932582547.468799011193599.631972853971
151664.139122101699635.212683081081693.065561122317
152655.087901982859625.606479534423684.569324431296
153547.726606144639520.214971584962575.238240704316
154490.510674033967463.69427880187517.327069266064
155417.874494194049392.190619526104443.558368861994
156462.91197975764442.309981214744483.513978300535

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 446.397513472092 & 426.688822667634 & 466.10620427655 \tabularnewline
146 & 418.986547994825 & 398.484502103232 & 439.488593886419 \tabularnewline
147 & 463.749707173368 & 442.006591734538 & 485.492822612197 \tabularnewline
148 & 494.965042338409 & 471.988876595052 & 517.941208081766 \tabularnewline
149 & 506.122949107584 & 482.136276962898 & 530.109621252269 \tabularnewline
150 & 573.550385932582 & 547.468799011193 & 599.631972853971 \tabularnewline
151 & 664.139122101699 & 635.212683081081 & 693.065561122317 \tabularnewline
152 & 655.087901982859 & 625.606479534423 & 684.569324431296 \tabularnewline
153 & 547.726606144639 & 520.214971584962 & 575.238240704316 \tabularnewline
154 & 490.510674033967 & 463.69427880187 & 517.327069266064 \tabularnewline
155 & 417.874494194049 & 392.190619526104 & 443.558368861994 \tabularnewline
156 & 462.91197975764 & 442.309981214744 & 483.513978300535 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13744&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]145[/C][C]446.397513472092[/C][C]426.688822667634[/C][C]466.10620427655[/C][/ROW]
[ROW][C]146[/C][C]418.986547994825[/C][C]398.484502103232[/C][C]439.488593886419[/C][/ROW]
[ROW][C]147[/C][C]463.749707173368[/C][C]442.006591734538[/C][C]485.492822612197[/C][/ROW]
[ROW][C]148[/C][C]494.965042338409[/C][C]471.988876595052[/C][C]517.941208081766[/C][/ROW]
[ROW][C]149[/C][C]506.122949107584[/C][C]482.136276962898[/C][C]530.109621252269[/C][/ROW]
[ROW][C]150[/C][C]573.550385932582[/C][C]547.468799011193[/C][C]599.631972853971[/C][/ROW]
[ROW][C]151[/C][C]664.139122101699[/C][C]635.212683081081[/C][C]693.065561122317[/C][/ROW]
[ROW][C]152[/C][C]655.087901982859[/C][C]625.606479534423[/C][C]684.569324431296[/C][/ROW]
[ROW][C]153[/C][C]547.726606144639[/C][C]520.214971584962[/C][C]575.238240704316[/C][/ROW]
[ROW][C]154[/C][C]490.510674033967[/C][C]463.69427880187[/C][C]517.327069266064[/C][/ROW]
[ROW][C]155[/C][C]417.874494194049[/C][C]392.190619526104[/C][C]443.558368861994[/C][/ROW]
[ROW][C]156[/C][C]462.91197975764[/C][C]442.309981214744[/C][C]483.513978300535[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13744&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13744&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
145446.397513472092426.688822667634466.10620427655
146418.986547994825398.484502103232439.488593886419
147463.749707173368442.006591734538485.492822612197
148494.965042338409471.988876595052517.941208081766
149506.122949107584482.136276962898530.109621252269
150573.550385932582547.468799011193599.631972853971
151664.139122101699635.212683081081693.065561122317
152655.087901982859625.606479534423684.569324431296
153547.726606144639520.214971584962575.238240704316
154490.510674033967463.69427880187517.327069266064
155417.874494194049392.190619526104443.558368861994
156462.91197975764442.309981214744483.513978300535



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')