Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 10 May 2012 15:19:12 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/10/t1336677933nlendj042wm51en.htm/, Retrieved Sat, 04 May 2024 11:38:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166401, Retrieved Sat, 04 May 2024 11:38:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Physics 510 HW 12] [2012-05-10 19:19:12] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166401&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166401&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.275592474736455
beta0.0326929527336223
gamma0.870729222265275

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.275592474736455 \tabularnewline
beta & 0.0326929527336223 \tabularnewline
gamma & 0.870729222265275 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166401&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]0.275592474736455[/C][/ROW]
[ROW][C]beta[/C][C]0.0326929527336223[/C][/ROW]
[ROW][C]gamma[/C][C]0.870729222265275[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166401&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
alpha0.275592474736455
beta0.0326929527336223
gamma0.870729222265275







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115111.0818087088673.91819129113328
14126122.3314521410863.66854785891393
15141137.4390125699013.56098743009895
16135132.3233803453812.67661965461875
17125123.4796804627291.52031953727079
18149147.6672883148711.33271168512906
19170162.4432437124737.55675628752684
20170165.5295896133224.47041038667788
21158153.8877122942514.11228770574931
22133136.318641448734-3.31864144873398
23114119.090610790114-5.09061079011418
24140133.9887199504976.01128004950255
25145134.8303682899210.1696317100803
26150149.7051434413660.29485655863428
27178166.5408259996611.4591740003402
28163161.7497283781891.25027162181098
29172149.75750799304122.2424920069588
30178185.647723596325-7.64772359632505
31199206.262153619028-7.2621536190276
32199203.180886325984-4.18088632598415
33184186.419252204205-2.41925220420509
34162158.147799136753.85220086325003
35146138.3687281983267.63127180167442
36166169.141340932277-3.14134093227659
37171170.3609415353510.639058464649196
38180177.4381904723682.56180952763222
39193206.247937478341-13.2479374783412
40181185.960743337435-4.96074333743451
41183184.798362273962-1.79836227396214
42218195.68439550541422.3156044945857
43230227.4983977187982.50160228120197
44242229.0047717894412.9952282105605
45209215.630984242778-6.63098424277786
46191186.286597370314.71340262968988
47172166.037642761145.96235723885997
48194192.8425176702151.15748232978481
49196198.309951792614-2.30995179261404
50196206.984490574542-10.9844905745417
51236224.19296559617111.8070344038286
52235214.0654238362720.9345761637297
53229222.6752396896266.32476031037368
54243256.737994926102-13.737994926102
55264268.358000825088-4.3580008250878
56272275.595138563008-3.59513856300822
57237240.950054518824-3.95005451882446
58211216.418708751082-5.41870875108197
59180191.302349202138-11.3023492021381
60201212.165209086809-11.1652090868092
61204211.884606924298-7.88460692429837
62188213.27850745062-25.2785074506199
63235241.844292266096-6.84429226609575
64227231.12664863371-4.12664863370961
65234222.84757726495211.1524227350481
66264244.4035895561319.59641044387
67302270.92543012229431.0745698777058
68293288.4632810039954.53671899600499
69259253.3255645210375.67443547896335
70229228.4572337108610.542766289138939
71203198.7667231438074.23327685619279
72229226.3253681439912.67463185600869
73242232.507692400689.49230759932021
74233226.1554874965546.84451250344583
75267284.984109809787-17.9841098097872
76269271.954044414961-2.954044414961
77270274.414349879444-4.41434987944433
78315301.11087591275513.8891240872446
79364337.48148021720626.5185197827936
80347335.98553316203811.0144668379621
81312297.83666607185414.1633339281458
82274267.3004454650886.69955453491218
83237236.9925431354410.00745686455934447
84278266.90068916338611.0993108366137
85284281.6339259082832.36607409171705
86277269.96724589067.03275410940017
87317320.174999871827-3.17499987182669
88313321.276899149146-8.27689914914555
89318322.045741325617-4.04574132561669
90374367.9511784742496.0488215257509
91413417.203225397332-4.20322539733178
92405394.60624771341610.3937522865839
93355352.3066553368662.69334466313444
94306308.449808881231-2.44980888123064
95271266.6963378015114.30366219848918
96306309.394161372703-3.39416137270314
97315315.103179025905-0.103179025905092
98301304.405357956349-3.40535795634867
99356349.0582018178696.94179818213104
100348349.292551021804-1.29255102180434
101355355.073176743193-0.0731767431929029
102422414.3609222660947.63907773390565
103465462.0911466439322.90885335606771
104467448.97970596848618.0202940315135
105404397.635010380026.36498961998001
106347345.4509781177961.5490218822041
107305304.2430386145010.756961385499039
108336345.615242815442-9.61524281544217
109340352.616294292296-12.616294292296
110318334.810889595364-16.8108895953638
111362386.94137114357-24.9413711435703
112348372.190854481382-24.1908544813824
113363372.090123849997-9.09012384999716
114435435.498537075609-0.498537075609363
115491478.41838352541212.5816164745876
116505476.29773642868928.7022635713114
117404417.219138602201-13.2191386022007
118359354.4369064406424.56309355935764
119310311.87647452998-1.87647452997993
120337345.975126181845-8.97512618184476
121360350.6430688312549.35693116874586
122342334.9945865126547.0054134873464
123406390.68587883978515.3141211602154
124396386.4988634128159.50113658718544
125420407.13073966459812.8692603354022
126472491.604975308886-19.6049753088864
127548543.7800223198764.21997768012352
128559549.9352939996039.064706000397
129463449.63876988831913.3612301116814
130407399.9130272672647.0869727327364
131362348.39721511660813.6027848833916
132405386.65209391144118.3479060885591
133417413.9167645634673.08323543653262
134391392.451160571742-1.45116057174226
135419460.1705013673-41.1705013673001
136461435.42179027207225.5782097279275
137472465.0951127316966.9048872683037
138535534.3527108703280.647289129671663
139622616.7353556376045.26464436239564
140606627.55104808255-21.5510480825502
141508510.133147348624-2.13314734862371
142461446.16280294352414.8371970564758
143390395.452817646611-5.45281764661092
144432434.572462781258-2.57246278125848

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 111.081808708867 & 3.91819129113328 \tabularnewline
14 & 126 & 122.331452141086 & 3.66854785891393 \tabularnewline
15 & 141 & 137.439012569901 & 3.56098743009895 \tabularnewline
16 & 135 & 132.323380345381 & 2.67661965461875 \tabularnewline
17 & 125 & 123.479680462729 & 1.52031953727079 \tabularnewline
18 & 149 & 147.667288314871 & 1.33271168512906 \tabularnewline
19 & 170 & 162.443243712473 & 7.55675628752684 \tabularnewline
20 & 170 & 165.529589613322 & 4.47041038667788 \tabularnewline
21 & 158 & 153.887712294251 & 4.11228770574931 \tabularnewline
22 & 133 & 136.318641448734 & -3.31864144873398 \tabularnewline
23 & 114 & 119.090610790114 & -5.09061079011418 \tabularnewline
24 & 140 & 133.988719950497 & 6.01128004950255 \tabularnewline
25 & 145 & 134.83036828992 & 10.1696317100803 \tabularnewline
26 & 150 & 149.705143441366 & 0.29485655863428 \tabularnewline
27 & 178 & 166.54082599966 & 11.4591740003402 \tabularnewline
28 & 163 & 161.749728378189 & 1.25027162181098 \tabularnewline
29 & 172 & 149.757507993041 & 22.2424920069588 \tabularnewline
30 & 178 & 185.647723596325 & -7.64772359632505 \tabularnewline
31 & 199 & 206.262153619028 & -7.2621536190276 \tabularnewline
32 & 199 & 203.180886325984 & -4.18088632598415 \tabularnewline
33 & 184 & 186.419252204205 & -2.41925220420509 \tabularnewline
34 & 162 & 158.14779913675 & 3.85220086325003 \tabularnewline
35 & 146 & 138.368728198326 & 7.63127180167442 \tabularnewline
36 & 166 & 169.141340932277 & -3.14134093227659 \tabularnewline
37 & 171 & 170.360941535351 & 0.639058464649196 \tabularnewline
38 & 180 & 177.438190472368 & 2.56180952763222 \tabularnewline
39 & 193 & 206.247937478341 & -13.2479374783412 \tabularnewline
40 & 181 & 185.960743337435 & -4.96074333743451 \tabularnewline
41 & 183 & 184.798362273962 & -1.79836227396214 \tabularnewline
42 & 218 & 195.684395505414 & 22.3156044945857 \tabularnewline
43 & 230 & 227.498397718798 & 2.50160228120197 \tabularnewline
44 & 242 & 229.00477178944 & 12.9952282105605 \tabularnewline
45 & 209 & 215.630984242778 & -6.63098424277786 \tabularnewline
46 & 191 & 186.28659737031 & 4.71340262968988 \tabularnewline
47 & 172 & 166.03764276114 & 5.96235723885997 \tabularnewline
48 & 194 & 192.842517670215 & 1.15748232978481 \tabularnewline
49 & 196 & 198.309951792614 & -2.30995179261404 \tabularnewline
50 & 196 & 206.984490574542 & -10.9844905745417 \tabularnewline
51 & 236 & 224.192965596171 & 11.8070344038286 \tabularnewline
52 & 235 & 214.06542383627 & 20.9345761637297 \tabularnewline
53 & 229 & 222.675239689626 & 6.32476031037368 \tabularnewline
54 & 243 & 256.737994926102 & -13.737994926102 \tabularnewline
55 & 264 & 268.358000825088 & -4.3580008250878 \tabularnewline
56 & 272 & 275.595138563008 & -3.59513856300822 \tabularnewline
57 & 237 & 240.950054518824 & -3.95005451882446 \tabularnewline
58 & 211 & 216.418708751082 & -5.41870875108197 \tabularnewline
59 & 180 & 191.302349202138 & -11.3023492021381 \tabularnewline
60 & 201 & 212.165209086809 & -11.1652090868092 \tabularnewline
61 & 204 & 211.884606924298 & -7.88460692429837 \tabularnewline
62 & 188 & 213.27850745062 & -25.2785074506199 \tabularnewline
63 & 235 & 241.844292266096 & -6.84429226609575 \tabularnewline
64 & 227 & 231.12664863371 & -4.12664863370961 \tabularnewline
65 & 234 & 222.847577264952 & 11.1524227350481 \tabularnewline
66 & 264 & 244.40358955613 & 19.59641044387 \tabularnewline
67 & 302 & 270.925430122294 & 31.0745698777058 \tabularnewline
68 & 293 & 288.463281003995 & 4.53671899600499 \tabularnewline
69 & 259 & 253.325564521037 & 5.67443547896335 \tabularnewline
70 & 229 & 228.457233710861 & 0.542766289138939 \tabularnewline
71 & 203 & 198.766723143807 & 4.23327685619279 \tabularnewline
72 & 229 & 226.325368143991 & 2.67463185600869 \tabularnewline
73 & 242 & 232.50769240068 & 9.49230759932021 \tabularnewline
74 & 233 & 226.155487496554 & 6.84451250344583 \tabularnewline
75 & 267 & 284.984109809787 & -17.9841098097872 \tabularnewline
76 & 269 & 271.954044414961 & -2.954044414961 \tabularnewline
77 & 270 & 274.414349879444 & -4.41434987944433 \tabularnewline
78 & 315 & 301.110875912755 & 13.8891240872446 \tabularnewline
79 & 364 & 337.481480217206 & 26.5185197827936 \tabularnewline
80 & 347 & 335.985533162038 & 11.0144668379621 \tabularnewline
81 & 312 & 297.836666071854 & 14.1633339281458 \tabularnewline
82 & 274 & 267.300445465088 & 6.69955453491218 \tabularnewline
83 & 237 & 236.992543135441 & 0.00745686455934447 \tabularnewline
84 & 278 & 266.900689163386 & 11.0993108366137 \tabularnewline
85 & 284 & 281.633925908283 & 2.36607409171705 \tabularnewline
86 & 277 & 269.9672458906 & 7.03275410940017 \tabularnewline
87 & 317 & 320.174999871827 & -3.17499987182669 \tabularnewline
88 & 313 & 321.276899149146 & -8.27689914914555 \tabularnewline
89 & 318 & 322.045741325617 & -4.04574132561669 \tabularnewline
90 & 374 & 367.951178474249 & 6.0488215257509 \tabularnewline
91 & 413 & 417.203225397332 & -4.20322539733178 \tabularnewline
92 & 405 & 394.606247713416 & 10.3937522865839 \tabularnewline
93 & 355 & 352.306655336866 & 2.69334466313444 \tabularnewline
94 & 306 & 308.449808881231 & -2.44980888123064 \tabularnewline
95 & 271 & 266.696337801511 & 4.30366219848918 \tabularnewline
96 & 306 & 309.394161372703 & -3.39416137270314 \tabularnewline
97 & 315 & 315.103179025905 & -0.103179025905092 \tabularnewline
98 & 301 & 304.405357956349 & -3.40535795634867 \tabularnewline
99 & 356 & 349.058201817869 & 6.94179818213104 \tabularnewline
100 & 348 & 349.292551021804 & -1.29255102180434 \tabularnewline
101 & 355 & 355.073176743193 & -0.0731767431929029 \tabularnewline
102 & 422 & 414.360922266094 & 7.63907773390565 \tabularnewline
103 & 465 & 462.091146643932 & 2.90885335606771 \tabularnewline
104 & 467 & 448.979705968486 & 18.0202940315135 \tabularnewline
105 & 404 & 397.63501038002 & 6.36498961998001 \tabularnewline
106 & 347 & 345.450978117796 & 1.5490218822041 \tabularnewline
107 & 305 & 304.243038614501 & 0.756961385499039 \tabularnewline
108 & 336 & 345.615242815442 & -9.61524281544217 \tabularnewline
109 & 340 & 352.616294292296 & -12.616294292296 \tabularnewline
110 & 318 & 334.810889595364 & -16.8108895953638 \tabularnewline
111 & 362 & 386.94137114357 & -24.9413711435703 \tabularnewline
112 & 348 & 372.190854481382 & -24.1908544813824 \tabularnewline
113 & 363 & 372.090123849997 & -9.09012384999716 \tabularnewline
114 & 435 & 435.498537075609 & -0.498537075609363 \tabularnewline
115 & 491 & 478.418383525412 & 12.5816164745876 \tabularnewline
116 & 505 & 476.297736428689 & 28.7022635713114 \tabularnewline
117 & 404 & 417.219138602201 & -13.2191386022007 \tabularnewline
118 & 359 & 354.436906440642 & 4.56309355935764 \tabularnewline
119 & 310 & 311.87647452998 & -1.87647452997993 \tabularnewline
120 & 337 & 345.975126181845 & -8.97512618184476 \tabularnewline
121 & 360 & 350.643068831254 & 9.35693116874586 \tabularnewline
122 & 342 & 334.994586512654 & 7.0054134873464 \tabularnewline
123 & 406 & 390.685878839785 & 15.3141211602154 \tabularnewline
124 & 396 & 386.498863412815 & 9.50113658718544 \tabularnewline
125 & 420 & 407.130739664598 & 12.8692603354022 \tabularnewline
126 & 472 & 491.604975308886 & -19.6049753088864 \tabularnewline
127 & 548 & 543.780022319876 & 4.21997768012352 \tabularnewline
128 & 559 & 549.935293999603 & 9.064706000397 \tabularnewline
129 & 463 & 449.638769888319 & 13.3612301116814 \tabularnewline
130 & 407 & 399.913027267264 & 7.0869727327364 \tabularnewline
131 & 362 & 348.397215116608 & 13.6027848833916 \tabularnewline
132 & 405 & 386.652093911441 & 18.3479060885591 \tabularnewline
133 & 417 & 413.916764563467 & 3.08323543653262 \tabularnewline
134 & 391 & 392.451160571742 & -1.45116057174226 \tabularnewline
135 & 419 & 460.1705013673 & -41.1705013673001 \tabularnewline
136 & 461 & 435.421790272072 & 25.5782097279275 \tabularnewline
137 & 472 & 465.095112731696 & 6.9048872683037 \tabularnewline
138 & 535 & 534.352710870328 & 0.647289129671663 \tabularnewline
139 & 622 & 616.735355637604 & 5.26464436239564 \tabularnewline
140 & 606 & 627.55104808255 & -21.5510480825502 \tabularnewline
141 & 508 & 510.133147348624 & -2.13314734862371 \tabularnewline
142 & 461 & 446.162802943524 & 14.8371970564758 \tabularnewline
143 & 390 & 395.452817646611 & -5.45281764661092 \tabularnewline
144 & 432 & 434.572462781258 & -2.57246278125848 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166401&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]111.081808708867[/C][C]3.91819129113328[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.331452141086[/C][C]3.66854785891393[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.439012569901[/C][C]3.56098743009895[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.323380345381[/C][C]2.67661965461875[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.479680462729[/C][C]1.52031953727079[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.667288314871[/C][C]1.33271168512906[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]162.443243712473[/C][C]7.55675628752684[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]165.529589613322[/C][C]4.47041038667788[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.887712294251[/C][C]4.11228770574931[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]136.318641448734[/C][C]-3.31864144873398[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]119.090610790114[/C][C]-5.09061079011418[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]133.988719950497[/C][C]6.01128004950255[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]134.83036828992[/C][C]10.1696317100803[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.705143441366[/C][C]0.29485655863428[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]166.54082599966[/C][C]11.4591740003402[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]161.749728378189[/C][C]1.25027162181098[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]149.757507993041[/C][C]22.2424920069588[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]185.647723596325[/C][C]-7.64772359632505[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]206.262153619028[/C][C]-7.2621536190276[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]203.180886325984[/C][C]-4.18088632598415[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]186.419252204205[/C][C]-2.41925220420509[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]158.14779913675[/C][C]3.85220086325003[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]138.368728198326[/C][C]7.63127180167442[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]169.141340932277[/C][C]-3.14134093227659[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]170.360941535351[/C][C]0.639058464649196[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.438190472368[/C][C]2.56180952763222[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]206.247937478341[/C][C]-13.2479374783412[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]185.960743337435[/C][C]-4.96074333743451[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]184.798362273962[/C][C]-1.79836227396214[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]195.684395505414[/C][C]22.3156044945857[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]227.498397718798[/C][C]2.50160228120197[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]229.00477178944[/C][C]12.9952282105605[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]215.630984242778[/C][C]-6.63098424277786[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.28659737031[/C][C]4.71340262968988[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]166.03764276114[/C][C]5.96235723885997[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]192.842517670215[/C][C]1.15748232978481[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.309951792614[/C][C]-2.30995179261404[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]206.984490574542[/C][C]-10.9844905745417[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]224.192965596171[/C][C]11.8070344038286[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.06542383627[/C][C]20.9345761637297[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.675239689626[/C][C]6.32476031037368[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]256.737994926102[/C][C]-13.737994926102[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]268.358000825088[/C][C]-4.3580008250878[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]275.595138563008[/C][C]-3.59513856300822[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]240.950054518824[/C][C]-3.95005451882446[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]216.418708751082[/C][C]-5.41870875108197[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.302349202138[/C][C]-11.3023492021381[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]212.165209086809[/C][C]-11.1652090868092[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.884606924298[/C][C]-7.88460692429837[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.27850745062[/C][C]-25.2785074506199[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]241.844292266096[/C][C]-6.84429226609575[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]231.12664863371[/C][C]-4.12664863370961[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]222.847577264952[/C][C]11.1524227350481[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]244.40358955613[/C][C]19.59641044387[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]270.925430122294[/C][C]31.0745698777058[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]288.463281003995[/C][C]4.53671899600499[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]253.325564521037[/C][C]5.67443547896335[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.457233710861[/C][C]0.542766289138939[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]198.766723143807[/C][C]4.23327685619279[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.325368143991[/C][C]2.67463185600869[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.50769240068[/C][C]9.49230759932021[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]226.155487496554[/C][C]6.84451250344583[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.984109809787[/C][C]-17.9841098097872[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.954044414961[/C][C]-2.954044414961[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.414349879444[/C][C]-4.41434987944433[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.110875912755[/C][C]13.8891240872446[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.481480217206[/C][C]26.5185197827936[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]335.985533162038[/C][C]11.0144668379621[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]297.836666071854[/C][C]14.1633339281458[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.300445465088[/C][C]6.69955453491218[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]236.992543135441[/C][C]0.00745686455934447[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.900689163386[/C][C]11.0993108366137[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.633925908283[/C][C]2.36607409171705[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.9672458906[/C][C]7.03275410940017[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]320.174999871827[/C][C]-3.17499987182669[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]321.276899149146[/C][C]-8.27689914914555[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]322.045741325617[/C][C]-4.04574132561669[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]367.951178474249[/C][C]6.0488215257509[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]417.203225397332[/C][C]-4.20322539733178[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]394.606247713416[/C][C]10.3937522865839[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]352.306655336866[/C][C]2.69334466313444[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.449808881231[/C][C]-2.44980888123064[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.696337801511[/C][C]4.30366219848918[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.394161372703[/C][C]-3.39416137270314[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]315.103179025905[/C][C]-0.103179025905092[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.405357956349[/C][C]-3.40535795634867[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]349.058201817869[/C][C]6.94179818213104[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]349.292551021804[/C][C]-1.29255102180434[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]355.073176743193[/C][C]-0.0731767431929029[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]414.360922266094[/C][C]7.63907773390565[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]462.091146643932[/C][C]2.90885335606771[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]448.979705968486[/C][C]18.0202940315135[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]397.63501038002[/C][C]6.36498961998001[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]345.450978117796[/C][C]1.5490218822041[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]304.243038614501[/C][C]0.756961385499039[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.615242815442[/C][C]-9.61524281544217[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.616294292296[/C][C]-12.616294292296[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.810889595364[/C][C]-16.8108895953638[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.94137114357[/C][C]-24.9413711435703[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]372.190854481382[/C][C]-24.1908544813824[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]372.090123849997[/C][C]-9.09012384999716[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.498537075609[/C][C]-0.498537075609363[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.418383525412[/C][C]12.5816164745876[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.297736428689[/C][C]28.7022635713114[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.219138602201[/C][C]-13.2191386022007[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.436906440642[/C][C]4.56309355935764[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]311.87647452998[/C][C]-1.87647452997993[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]345.975126181845[/C][C]-8.97512618184476[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]350.643068831254[/C][C]9.35693116874586[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]334.994586512654[/C][C]7.0054134873464[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.685878839785[/C][C]15.3141211602154[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.498863412815[/C][C]9.50113658718544[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.130739664598[/C][C]12.8692603354022[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.604975308886[/C][C]-19.6049753088864[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.780022319876[/C][C]4.21997768012352[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.935293999603[/C][C]9.064706000397[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.638769888319[/C][C]13.3612301116814[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.913027267264[/C][C]7.0869727327364[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]348.397215116608[/C][C]13.6027848833916[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.652093911441[/C][C]18.3479060885591[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.916764563467[/C][C]3.08323543653262[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]392.451160571742[/C][C]-1.45116057174226[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]460.1705013673[/C][C]-41.1705013673001[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]435.421790272072[/C][C]25.5782097279275[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]465.095112731696[/C][C]6.9048872683037[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]534.352710870328[/C][C]0.647289129671663[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]616.735355637604[/C][C]5.26464436239564[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]627.55104808255[/C][C]-21.5510480825502[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.133147348624[/C][C]-2.13314734862371[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]446.162802943524[/C][C]14.8371970564758[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]395.452817646611[/C][C]-5.45281764661092[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]434.572462781258[/C][C]-2.57246278125848[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166401&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166401&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
13115111.0818087088673.91819129113328
14126122.3314521410863.66854785891393
15141137.4390125699013.56098743009895
16135132.3233803453812.67661965461875
17125123.4796804627291.52031953727079
18149147.6672883148711.33271168512906
19170162.4432437124737.55675628752684
20170165.5295896133224.47041038667788
21158153.8877122942514.11228770574931
22133136.318641448734-3.31864144873398
23114119.090610790114-5.09061079011418
24140133.9887199504976.01128004950255
25145134.8303682899210.1696317100803
26150149.7051434413660.29485655863428
27178166.5408259996611.4591740003402
28163161.7497283781891.25027162181098
29172149.75750799304122.2424920069588
30178185.647723596325-7.64772359632505
31199206.262153619028-7.2621536190276
32199203.180886325984-4.18088632598415
33184186.419252204205-2.41925220420509
34162158.147799136753.85220086325003
35146138.3687281983267.63127180167442
36166169.141340932277-3.14134093227659
37171170.3609415353510.639058464649196
38180177.4381904723682.56180952763222
39193206.247937478341-13.2479374783412
40181185.960743337435-4.96074333743451
41183184.798362273962-1.79836227396214
42218195.68439550541422.3156044945857
43230227.4983977187982.50160228120197
44242229.0047717894412.9952282105605
45209215.630984242778-6.63098424277786
46191186.286597370314.71340262968988
47172166.037642761145.96235723885997
48194192.8425176702151.15748232978481
49196198.309951792614-2.30995179261404
50196206.984490574542-10.9844905745417
51236224.19296559617111.8070344038286
52235214.0654238362720.9345761637297
53229222.6752396896266.32476031037368
54243256.737994926102-13.737994926102
55264268.358000825088-4.3580008250878
56272275.595138563008-3.59513856300822
57237240.950054518824-3.95005451882446
58211216.418708751082-5.41870875108197
59180191.302349202138-11.3023492021381
60201212.165209086809-11.1652090868092
61204211.884606924298-7.88460692429837
62188213.27850745062-25.2785074506199
63235241.844292266096-6.84429226609575
64227231.12664863371-4.12664863370961
65234222.84757726495211.1524227350481
66264244.4035895561319.59641044387
67302270.92543012229431.0745698777058
68293288.4632810039954.53671899600499
69259253.3255645210375.67443547896335
70229228.4572337108610.542766289138939
71203198.7667231438074.23327685619279
72229226.3253681439912.67463185600869
73242232.507692400689.49230759932021
74233226.1554874965546.84451250344583
75267284.984109809787-17.9841098097872
76269271.954044414961-2.954044414961
77270274.414349879444-4.41434987944433
78315301.11087591275513.8891240872446
79364337.48148021720626.5185197827936
80347335.98553316203811.0144668379621
81312297.83666607185414.1633339281458
82274267.3004454650886.69955453491218
83237236.9925431354410.00745686455934447
84278266.90068916338611.0993108366137
85284281.6339259082832.36607409171705
86277269.96724589067.03275410940017
87317320.174999871827-3.17499987182669
88313321.276899149146-8.27689914914555
89318322.045741325617-4.04574132561669
90374367.9511784742496.0488215257509
91413417.203225397332-4.20322539733178
92405394.60624771341610.3937522865839
93355352.3066553368662.69334466313444
94306308.449808881231-2.44980888123064
95271266.6963378015114.30366219848918
96306309.394161372703-3.39416137270314
97315315.103179025905-0.103179025905092
98301304.405357956349-3.40535795634867
99356349.0582018178696.94179818213104
100348349.292551021804-1.29255102180434
101355355.073176743193-0.0731767431929029
102422414.3609222660947.63907773390565
103465462.0911466439322.90885335606771
104467448.97970596848618.0202940315135
105404397.635010380026.36498961998001
106347345.4509781177961.5490218822041
107305304.2430386145010.756961385499039
108336345.615242815442-9.61524281544217
109340352.616294292296-12.616294292296
110318334.810889595364-16.8108895953638
111362386.94137114357-24.9413711435703
112348372.190854481382-24.1908544813824
113363372.090123849997-9.09012384999716
114435435.498537075609-0.498537075609363
115491478.41838352541212.5816164745876
116505476.29773642868928.7022635713114
117404417.219138602201-13.2191386022007
118359354.4369064406424.56309355935764
119310311.87647452998-1.87647452997993
120337345.975126181845-8.97512618184476
121360350.6430688312549.35693116874586
122342334.9945865126547.0054134873464
123406390.68587883978515.3141211602154
124396386.4988634128159.50113658718544
125420407.13073966459812.8692603354022
126472491.604975308886-19.6049753088864
127548543.7800223198764.21997768012352
128559549.9352939996039.064706000397
129463449.63876988831913.3612301116814
130407399.9130272672647.0869727327364
131362348.39721511660813.6027848833916
132405386.65209391144118.3479060885591
133417413.9167645634673.08323543653262
134391392.451160571742-1.45116057174226
135419460.1705013673-41.1705013673001
136461435.42179027207225.5782097279275
137472465.0951127316966.9048872683037
138535534.3527108703280.647289129671663
139622616.7353556376045.26464436239564
140606627.55104808255-21.5510480825502
141508510.133147348624-2.13314734862371
142461446.16280294352414.8371970564758
143390395.452817646611-5.45281764661092
144432434.572462781258-2.57246278125848







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145447.055931344911427.306133026707466.805729663116
146419.712279855694399.132585244962440.291974466426
147464.867131095757442.963034360716486.771227830799
148496.083937621018472.832900505227519.334974736809
149507.532637500566483.137513327867531.927761673264
150575.450895961043548.708256350201602.193535571885
151666.592293420411636.628829419515696.555757421306
152657.913718340462627.18208471999688.645351960935
153550.308766448997521.63979516326578.977737734734
154492.985309235293465.015309913887520.955308556698
155420.207279555455393.468778537189446.945780573722
156465.6345009368443.300414442843487.968587430758

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 447.055931344911 & 427.306133026707 & 466.805729663116 \tabularnewline
146 & 419.712279855694 & 399.132585244962 & 440.291974466426 \tabularnewline
147 & 464.867131095757 & 442.963034360716 & 486.771227830799 \tabularnewline
148 & 496.083937621018 & 472.832900505227 & 519.334974736809 \tabularnewline
149 & 507.532637500566 & 483.137513327867 & 531.927761673264 \tabularnewline
150 & 575.450895961043 & 548.708256350201 & 602.193535571885 \tabularnewline
151 & 666.592293420411 & 636.628829419515 & 696.555757421306 \tabularnewline
152 & 657.913718340462 & 627.18208471999 & 688.645351960935 \tabularnewline
153 & 550.308766448997 & 521.63979516326 & 578.977737734734 \tabularnewline
154 & 492.985309235293 & 465.015309913887 & 520.955308556698 \tabularnewline
155 & 420.207279555455 & 393.468778537189 & 446.945780573722 \tabularnewline
156 & 465.6345009368 & 443.300414442843 & 487.968587430758 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166401&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]447.055931344911[/C][C]427.306133026707[/C][C]466.805729663116[/C][/ROW]
[ROW][C]146[/C][C]419.712279855694[/C][C]399.132585244962[/C][C]440.291974466426[/C][/ROW]
[ROW][C]147[/C][C]464.867131095757[/C][C]442.963034360716[/C][C]486.771227830799[/C][/ROW]
[ROW][C]148[/C][C]496.083937621018[/C][C]472.832900505227[/C][C]519.334974736809[/C][/ROW]
[ROW][C]149[/C][C]507.532637500566[/C][C]483.137513327867[/C][C]531.927761673264[/C][/ROW]
[ROW][C]150[/C][C]575.450895961043[/C][C]548.708256350201[/C][C]602.193535571885[/C][/ROW]
[ROW][C]151[/C][C]666.592293420411[/C][C]636.628829419515[/C][C]696.555757421306[/C][/ROW]
[ROW][C]152[/C][C]657.913718340462[/C][C]627.18208471999[/C][C]688.645351960935[/C][/ROW]
[ROW][C]153[/C][C]550.308766448997[/C][C]521.63979516326[/C][C]578.977737734734[/C][/ROW]
[ROW][C]154[/C][C]492.985309235293[/C][C]465.015309913887[/C][C]520.955308556698[/C][/ROW]
[ROW][C]155[/C][C]420.207279555455[/C][C]393.468778537189[/C][C]446.945780573722[/C][/ROW]
[ROW][C]156[/C][C]465.6345009368[/C][C]443.300414442843[/C][C]487.968587430758[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166401&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166401&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
145447.055931344911427.306133026707466.805729663116
146419.712279855694399.132585244962440.291974466426
147464.867131095757442.963034360716486.771227830799
148496.083937621018472.832900505227519.334974736809
149507.532637500566483.137513327867531.927761673264
150575.450895961043548.708256350201602.193535571885
151666.592293420411636.628829419515696.555757421306
152657.913718340462627.18208471999688.645351960935
153550.308766448997521.63979516326578.977737734734
154492.985309235293465.015309913887520.955308556698
155420.207279555455393.468778537189446.945780573722
156465.6345009368443.300414442843487.968587430758



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=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')