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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 02 Jun 2009 06:55:53 -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/2009/Jun/02/t1243947385geicaenlp03vl0w.htm/, Retrieved Fri, 10 May 2024 07:13:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41209, Retrieved Fri, 10 May 2024 07:13:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10 - Aanta...] [2009-06-02 12:55:53] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
112 
118 
132 
129 
121 
135 
148 
148 
136 
119 
104 
118 
115 
126 
141 
135 
125 
149 
170 
170 
158 
133 
114 
140 
145 
150 
178 
163 
172 
178 
199 
199 
184 
162 
146 
166 
171 
180 
193 
181 
183 
218 
230 
242 
209 
191 
172 
194 
196 
196 
236 
235 
229 
243 
264 
272 
237 
211 
180 
201 
204 
188 
235 
227 
234 
264 
302 
293 
259 
229 
203 
229 
242 
233 
267 
269 
270 
315 
364 
347 
312 
274 
237 
278 
284 
277 
317 
313 
318 
374 
413 
405 
355 
306 
271 
306 
315 
301 
356 
348 
355 
422 
465 
467 
404 
347 
305 
336 
340 
318 
362 
348 
363 
435 
491 
505 
404 
359 
310 
337 
360 
342 
406 
396 
420 
472 
548 
559 
463 
407 
362 
405 
417 
391 
419 
461 
472 
535 
622 
606 
508 
461 
390 
432 




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41209&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41209&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41209&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.275592931492602
beta0.0326927269946913
gamma0.870730972375243

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.275592931492602 \tabularnewline
beta & 0.0326927269946913 \tabularnewline
gamma & 0.870730972375243 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41209&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]0.275592931492602[/C][/ROW]
[ROW][C]beta[/C][C]0.0326927269946913[/C][/ROW]
[ROW][C]gamma[/C][C]0.870730972375243[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41209&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41209&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
alpha0.275592931492602
beta0.0326927269946913
gamma0.870730972375243







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115111.0818087088673.91819129113324
14126122.3314538747443.66854612525647
15141137.4390153761593.56098462384085
16135132.3233832202962.67661677970437
17125123.4796828181491.52031718185104
18149147.667290233191.33270976680993
19170162.4432448019017.5567551980989
20170165.5295923942204.47040760577954
21158153.8877144649354.11228553506467
22133136.318642929538-3.31864292953799
23114119.090609201624-5.09060920162445
24140133.9887149606766.01128503932392
25145134.83037010966710.1696298903335
26150149.7051460153830.294853984617163
27178166.54082485992611.459175140074
28163161.7497291200721.25027087992819
29172149.75750588289222.2424941171083
30178185.647729927993-7.64772992799348
31199206.262157804506-7.26215780450633
32199203.180877899402-4.18087789940165
33184186.419241979637-2.41924197963704
34162158.1477827595293.85221724047076
35146138.3687169810757.63128301892533
36166169.141347816421-3.14134781642136
37171170.3609458701970.639054129803043
38180177.4381780479152.56182195208476
39193206.247937689474-13.2479376894740
40181185.96072416093-4.96072416092983
41183184.798364145761-1.7983641457605
42218195.6843597335522.3156402664498
43230227.4983879410402.50161205896046
44242229.00476968852012.9952303114803
45209215.630988418272-6.63098841827184
46191186.2865983510924.71340164890827
47172166.0376439935615.96235600643919
48194192.8425095100681.15749048993183
49196198.309952885672-2.30995288567220
50196206.984486038047-10.9844860380474
51236224.19294089622011.8070591037797
52235214.06541785566020.9345821443404
53229222.6752524471116.32474755288877
54243256.738013695478-13.7380136954783
55264268.357973304409-4.35797330440869
56272275.595124348777-3.59512434877661
57237240.950022441516-3.95002244151587
58211216.418700337473-5.41870033747318
59180191.302342357418-11.3023423574182
60201212.165187519306-11.1651875193057
61204211.884585973222-7.8845859732215
62188213.27848237778-25.2784823777802
63235241.844280631674-6.84428063167385
64227231.126644343173-4.12664434317313
65234222.84756235743411.1524376425660
66264244.40357368198319.5964263180174
67302270.92543678752731.0745632124733
68293288.4633043826434.53669561735745
69259253.3255731144335.67442688556693
70229228.4572425854860.542757414514483
71203198.7667237110574.23327628894268
72229226.325370930042.67462906995985
73242232.5076979211179.49230207888297
74233226.1554706830856.84452931691496
75267284.984135370836-17.9841353708361
76269271.954055875778-2.95405587577795
77270274.414364054023-4.41436405402328
78315301.11087543872713.8891245612733
79364337.4814839970326.5185160029703
80347335.98551213635611.0144878636440
81312297.83665553117314.163344468827
82274267.3004377139306.69956228607032
83237236.9925415061960.00745849380362529
84278266.90068203576511.0993179642347
85284281.6339304999882.36606950001163
86277269.9672327496987.0327672503015
87317320.174971097683-3.17497109768345
88313321.276901514021-8.27690151402084
89318322.045741716532-4.04574171653167
90374367.9511939083846.04880609161643
91413417.203241898467-4.20324189846684
92405394.60621928243210.3937807175679
93355352.3066369650032.69336303499716
94306308.449783989776-2.44978398977639
95271266.6963131926584.30368680734244
96306309.394151440327-3.39415144032654
97315315.103159698907-0.103159698907064
98301304.405343346895-3.40534334689534
99356349.0581654503576.94183454964292
100348349.292530352986-1.29253035298638
101355355.07317102392-0.0731710239201107
102422414.3609383733027.63906162669832
103465462.0911562758412.90884372415928
104467448.9797178527318.0202821472701
105404397.6350099221276.36499007787268
106347345.4509662878931.54903371210713
107305304.2430311120760.756968887923563
108336345.615225431214-9.6152254312135
109340352.616275490588-12.6162754905881
110318334.810864863463-16.8108648634631
111362386.941342201636-24.9413422016360
112348372.19081066778-24.1908106677798
113363372.090086438254-9.09008643825427
114435435.498520155351-0.498520155351457
115491478.41837009478412.5816299052164
116505476.29775492899328.7022450710072
117404417.219149854212-13.2191498542122
118359354.4369029627564.56309703724361
119310311.876475452214-1.87647545221392
120337345.975115388032-8.97511538803184
121360350.6430581403119.35694185968907
122342334.9945802071037.00541979289682
123406390.68587542554115.3141245744593
124396386.4988658447959.50113415520485
125420407.13076227323412.8692377267661
126472491.605011219989-19.6050112199886
127548543.7800465587614.21995344123911
128559549.9353273917319.06467260826867
129463449.6387467094113.3612532905901
130407399.9130342117787.08696578822219
131362348.3972126674713.6027873325298
132405386.65208470331218.3479152966885
133417413.9167814674463.08321853255381
134391392.451160427232-1.45116042723186
135419460.170497130599-41.1704971305986
136461435.42175557133825.5782444286622
137472465.0951028577886.90489714221167
138535534.3526743898890.647325610110556
139622616.7353661862345.26463381376573
140606627.551069242217-21.5510692422174
141508510.133139879421-2.13313987942115
142461446.16279163776914.8372083622311
143390395.452817969961-5.45281796996073
144432434.572452493994-2.57245249399358

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 111.081808708867 & 3.91819129113324 \tabularnewline
14 & 126 & 122.331453874744 & 3.66854612525647 \tabularnewline
15 & 141 & 137.439015376159 & 3.56098462384085 \tabularnewline
16 & 135 & 132.323383220296 & 2.67661677970437 \tabularnewline
17 & 125 & 123.479682818149 & 1.52031718185104 \tabularnewline
18 & 149 & 147.66729023319 & 1.33270976680993 \tabularnewline
19 & 170 & 162.443244801901 & 7.5567551980989 \tabularnewline
20 & 170 & 165.529592394220 & 4.47040760577954 \tabularnewline
21 & 158 & 153.887714464935 & 4.11228553506467 \tabularnewline
22 & 133 & 136.318642929538 & -3.31864292953799 \tabularnewline
23 & 114 & 119.090609201624 & -5.09060920162445 \tabularnewline
24 & 140 & 133.988714960676 & 6.01128503932392 \tabularnewline
25 & 145 & 134.830370109667 & 10.1696298903335 \tabularnewline
26 & 150 & 149.705146015383 & 0.294853984617163 \tabularnewline
27 & 178 & 166.540824859926 & 11.459175140074 \tabularnewline
28 & 163 & 161.749729120072 & 1.25027087992819 \tabularnewline
29 & 172 & 149.757505882892 & 22.2424941171083 \tabularnewline
30 & 178 & 185.647729927993 & -7.64772992799348 \tabularnewline
31 & 199 & 206.262157804506 & -7.26215780450633 \tabularnewline
32 & 199 & 203.180877899402 & -4.18087789940165 \tabularnewline
33 & 184 & 186.419241979637 & -2.41924197963704 \tabularnewline
34 & 162 & 158.147782759529 & 3.85221724047076 \tabularnewline
35 & 146 & 138.368716981075 & 7.63128301892533 \tabularnewline
36 & 166 & 169.141347816421 & -3.14134781642136 \tabularnewline
37 & 171 & 170.360945870197 & 0.639054129803043 \tabularnewline
38 & 180 & 177.438178047915 & 2.56182195208476 \tabularnewline
39 & 193 & 206.247937689474 & -13.2479376894740 \tabularnewline
40 & 181 & 185.96072416093 & -4.96072416092983 \tabularnewline
41 & 183 & 184.798364145761 & -1.7983641457605 \tabularnewline
42 & 218 & 195.68435973355 & 22.3156402664498 \tabularnewline
43 & 230 & 227.498387941040 & 2.50161205896046 \tabularnewline
44 & 242 & 229.004769688520 & 12.9952303114803 \tabularnewline
45 & 209 & 215.630988418272 & -6.63098841827184 \tabularnewline
46 & 191 & 186.286598351092 & 4.71340164890827 \tabularnewline
47 & 172 & 166.037643993561 & 5.96235600643919 \tabularnewline
48 & 194 & 192.842509510068 & 1.15749048993183 \tabularnewline
49 & 196 & 198.309952885672 & -2.30995288567220 \tabularnewline
50 & 196 & 206.984486038047 & -10.9844860380474 \tabularnewline
51 & 236 & 224.192940896220 & 11.8070591037797 \tabularnewline
52 & 235 & 214.065417855660 & 20.9345821443404 \tabularnewline
53 & 229 & 222.675252447111 & 6.32474755288877 \tabularnewline
54 & 243 & 256.738013695478 & -13.7380136954783 \tabularnewline
55 & 264 & 268.357973304409 & -4.35797330440869 \tabularnewline
56 & 272 & 275.595124348777 & -3.59512434877661 \tabularnewline
57 & 237 & 240.950022441516 & -3.95002244151587 \tabularnewline
58 & 211 & 216.418700337473 & -5.41870033747318 \tabularnewline
59 & 180 & 191.302342357418 & -11.3023423574182 \tabularnewline
60 & 201 & 212.165187519306 & -11.1651875193057 \tabularnewline
61 & 204 & 211.884585973222 & -7.8845859732215 \tabularnewline
62 & 188 & 213.27848237778 & -25.2784823777802 \tabularnewline
63 & 235 & 241.844280631674 & -6.84428063167385 \tabularnewline
64 & 227 & 231.126644343173 & -4.12664434317313 \tabularnewline
65 & 234 & 222.847562357434 & 11.1524376425660 \tabularnewline
66 & 264 & 244.403573681983 & 19.5964263180174 \tabularnewline
67 & 302 & 270.925436787527 & 31.0745632124733 \tabularnewline
68 & 293 & 288.463304382643 & 4.53669561735745 \tabularnewline
69 & 259 & 253.325573114433 & 5.67442688556693 \tabularnewline
70 & 229 & 228.457242585486 & 0.542757414514483 \tabularnewline
71 & 203 & 198.766723711057 & 4.23327628894268 \tabularnewline
72 & 229 & 226.32537093004 & 2.67462906995985 \tabularnewline
73 & 242 & 232.507697921117 & 9.49230207888297 \tabularnewline
74 & 233 & 226.155470683085 & 6.84452931691496 \tabularnewline
75 & 267 & 284.984135370836 & -17.9841353708361 \tabularnewline
76 & 269 & 271.954055875778 & -2.95405587577795 \tabularnewline
77 & 270 & 274.414364054023 & -4.41436405402328 \tabularnewline
78 & 315 & 301.110875438727 & 13.8891245612733 \tabularnewline
79 & 364 & 337.48148399703 & 26.5185160029703 \tabularnewline
80 & 347 & 335.985512136356 & 11.0144878636440 \tabularnewline
81 & 312 & 297.836655531173 & 14.163344468827 \tabularnewline
82 & 274 & 267.300437713930 & 6.69956228607032 \tabularnewline
83 & 237 & 236.992541506196 & 0.00745849380362529 \tabularnewline
84 & 278 & 266.900682035765 & 11.0993179642347 \tabularnewline
85 & 284 & 281.633930499988 & 2.36606950001163 \tabularnewline
86 & 277 & 269.967232749698 & 7.0327672503015 \tabularnewline
87 & 317 & 320.174971097683 & -3.17497109768345 \tabularnewline
88 & 313 & 321.276901514021 & -8.27690151402084 \tabularnewline
89 & 318 & 322.045741716532 & -4.04574171653167 \tabularnewline
90 & 374 & 367.951193908384 & 6.04880609161643 \tabularnewline
91 & 413 & 417.203241898467 & -4.20324189846684 \tabularnewline
92 & 405 & 394.606219282432 & 10.3937807175679 \tabularnewline
93 & 355 & 352.306636965003 & 2.69336303499716 \tabularnewline
94 & 306 & 308.449783989776 & -2.44978398977639 \tabularnewline
95 & 271 & 266.696313192658 & 4.30368680734244 \tabularnewline
96 & 306 & 309.394151440327 & -3.39415144032654 \tabularnewline
97 & 315 & 315.103159698907 & -0.103159698907064 \tabularnewline
98 & 301 & 304.405343346895 & -3.40534334689534 \tabularnewline
99 & 356 & 349.058165450357 & 6.94183454964292 \tabularnewline
100 & 348 & 349.292530352986 & -1.29253035298638 \tabularnewline
101 & 355 & 355.07317102392 & -0.0731710239201107 \tabularnewline
102 & 422 & 414.360938373302 & 7.63906162669832 \tabularnewline
103 & 465 & 462.091156275841 & 2.90884372415928 \tabularnewline
104 & 467 & 448.97971785273 & 18.0202821472701 \tabularnewline
105 & 404 & 397.635009922127 & 6.36499007787268 \tabularnewline
106 & 347 & 345.450966287893 & 1.54903371210713 \tabularnewline
107 & 305 & 304.243031112076 & 0.756968887923563 \tabularnewline
108 & 336 & 345.615225431214 & -9.6152254312135 \tabularnewline
109 & 340 & 352.616275490588 & -12.6162754905881 \tabularnewline
110 & 318 & 334.810864863463 & -16.8108648634631 \tabularnewline
111 & 362 & 386.941342201636 & -24.9413422016360 \tabularnewline
112 & 348 & 372.19081066778 & -24.1908106677798 \tabularnewline
113 & 363 & 372.090086438254 & -9.09008643825427 \tabularnewline
114 & 435 & 435.498520155351 & -0.498520155351457 \tabularnewline
115 & 491 & 478.418370094784 & 12.5816299052164 \tabularnewline
116 & 505 & 476.297754928993 & 28.7022450710072 \tabularnewline
117 & 404 & 417.219149854212 & -13.2191498542122 \tabularnewline
118 & 359 & 354.436902962756 & 4.56309703724361 \tabularnewline
119 & 310 & 311.876475452214 & -1.87647545221392 \tabularnewline
120 & 337 & 345.975115388032 & -8.97511538803184 \tabularnewline
121 & 360 & 350.643058140311 & 9.35694185968907 \tabularnewline
122 & 342 & 334.994580207103 & 7.00541979289682 \tabularnewline
123 & 406 & 390.685875425541 & 15.3141245744593 \tabularnewline
124 & 396 & 386.498865844795 & 9.50113415520485 \tabularnewline
125 & 420 & 407.130762273234 & 12.8692377267661 \tabularnewline
126 & 472 & 491.605011219989 & -19.6050112199886 \tabularnewline
127 & 548 & 543.780046558761 & 4.21995344123911 \tabularnewline
128 & 559 & 549.935327391731 & 9.06467260826867 \tabularnewline
129 & 463 & 449.63874670941 & 13.3612532905901 \tabularnewline
130 & 407 & 399.913034211778 & 7.08696578822219 \tabularnewline
131 & 362 & 348.39721266747 & 13.6027873325298 \tabularnewline
132 & 405 & 386.652084703312 & 18.3479152966885 \tabularnewline
133 & 417 & 413.916781467446 & 3.08321853255381 \tabularnewline
134 & 391 & 392.451160427232 & -1.45116042723186 \tabularnewline
135 & 419 & 460.170497130599 & -41.1704971305986 \tabularnewline
136 & 461 & 435.421755571338 & 25.5782444286622 \tabularnewline
137 & 472 & 465.095102857788 & 6.90489714221167 \tabularnewline
138 & 535 & 534.352674389889 & 0.647325610110556 \tabularnewline
139 & 622 & 616.735366186234 & 5.26463381376573 \tabularnewline
140 & 606 & 627.551069242217 & -21.5510692422174 \tabularnewline
141 & 508 & 510.133139879421 & -2.13313987942115 \tabularnewline
142 & 461 & 446.162791637769 & 14.8372083622311 \tabularnewline
143 & 390 & 395.452817969961 & -5.45281796996073 \tabularnewline
144 & 432 & 434.572452493994 & -2.57245249399358 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41209&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]3.91819129113324[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.331453874744[/C][C]3.66854612525647[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.439015376159[/C][C]3.56098462384085[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.323383220296[/C][C]2.67661677970437[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.479682818149[/C][C]1.52031718185104[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.66729023319[/C][C]1.33270976680993[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]162.443244801901[/C][C]7.5567551980989[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]165.529592394220[/C][C]4.47040760577954[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.887714464935[/C][C]4.11228553506467[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]136.318642929538[/C][C]-3.31864292953799[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]119.090609201624[/C][C]-5.09060920162445[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]133.988714960676[/C][C]6.01128503932392[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]134.830370109667[/C][C]10.1696298903335[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.705146015383[/C][C]0.294853984617163[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]166.540824859926[/C][C]11.459175140074[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]161.749729120072[/C][C]1.25027087992819[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]149.757505882892[/C][C]22.2424941171083[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]185.647729927993[/C][C]-7.64772992799348[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]206.262157804506[/C][C]-7.26215780450633[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]203.180877899402[/C][C]-4.18087789940165[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]186.419241979637[/C][C]-2.41924197963704[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]158.147782759529[/C][C]3.85221724047076[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]138.368716981075[/C][C]7.63128301892533[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]169.141347816421[/C][C]-3.14134781642136[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]170.360945870197[/C][C]0.639054129803043[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.438178047915[/C][C]2.56182195208476[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]206.247937689474[/C][C]-13.2479376894740[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]185.96072416093[/C][C]-4.96072416092983[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]184.798364145761[/C][C]-1.7983641457605[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]195.68435973355[/C][C]22.3156402664498[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]227.498387941040[/C][C]2.50161205896046[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]229.004769688520[/C][C]12.9952303114803[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]215.630988418272[/C][C]-6.63098841827184[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]186.286598351092[/C][C]4.71340164890827[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]166.037643993561[/C][C]5.96235600643919[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]192.842509510068[/C][C]1.15749048993183[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]198.309952885672[/C][C]-2.30995288567220[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]206.984486038047[/C][C]-10.9844860380474[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]224.192940896220[/C][C]11.8070591037797[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]214.065417855660[/C][C]20.9345821443404[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.675252447111[/C][C]6.32474755288877[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]256.738013695478[/C][C]-13.7380136954783[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]268.357973304409[/C][C]-4.35797330440869[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]275.595124348777[/C][C]-3.59512434877661[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]240.950022441516[/C][C]-3.95002244151587[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]216.418700337473[/C][C]-5.41870033747318[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]191.302342357418[/C][C]-11.3023423574182[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]212.165187519306[/C][C]-11.1651875193057[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]211.884585973222[/C][C]-7.8845859732215[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]213.27848237778[/C][C]-25.2784823777802[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]241.844280631674[/C][C]-6.84428063167385[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]231.126644343173[/C][C]-4.12664434317313[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]222.847562357434[/C][C]11.1524376425660[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]244.403573681983[/C][C]19.5964263180174[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]270.925436787527[/C][C]31.0745632124733[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]288.463304382643[/C][C]4.53669561735745[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]253.325573114433[/C][C]5.67442688556693[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.457242585486[/C][C]0.542757414514483[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]198.766723711057[/C][C]4.23327628894268[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]226.32537093004[/C][C]2.67462906995985[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]232.507697921117[/C][C]9.49230207888297[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]226.155470683085[/C][C]6.84452931691496[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]284.984135370836[/C][C]-17.9841353708361[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]271.954055875778[/C][C]-2.95405587577795[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.414364054023[/C][C]-4.41436405402328[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]301.110875438727[/C][C]13.8891245612733[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]337.48148399703[/C][C]26.5185160029703[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]335.985512136356[/C][C]11.0144878636440[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]297.836655531173[/C][C]14.163344468827[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]267.300437713930[/C][C]6.69956228607032[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]236.992541506196[/C][C]0.00745849380362529[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]266.900682035765[/C][C]11.0993179642347[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]281.633930499988[/C][C]2.36606950001163[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]269.967232749698[/C][C]7.0327672503015[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]320.174971097683[/C][C]-3.17497109768345[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]321.276901514021[/C][C]-8.27690151402084[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]322.045741716532[/C][C]-4.04574171653167[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]367.951193908384[/C][C]6.04880609161643[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]417.203241898467[/C][C]-4.20324189846684[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]394.606219282432[/C][C]10.3937807175679[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]352.306636965003[/C][C]2.69336303499716[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]308.449783989776[/C][C]-2.44978398977639[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]266.696313192658[/C][C]4.30368680734244[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]309.394151440327[/C][C]-3.39415144032654[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]315.103159698907[/C][C]-0.103159698907064[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]304.405343346895[/C][C]-3.40534334689534[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]349.058165450357[/C][C]6.94183454964292[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]349.292530352986[/C][C]-1.29253035298638[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]355.07317102392[/C][C]-0.0731710239201107[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]414.360938373302[/C][C]7.63906162669832[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]462.091156275841[/C][C]2.90884372415928[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]448.97971785273[/C][C]18.0202821472701[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]397.635009922127[/C][C]6.36499007787268[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]345.450966287893[/C][C]1.54903371210713[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]304.243031112076[/C][C]0.756968887923563[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]345.615225431214[/C][C]-9.6152254312135[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]352.616275490588[/C][C]-12.6162754905881[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]334.810864863463[/C][C]-16.8108648634631[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]386.941342201636[/C][C]-24.9413422016360[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]372.19081066778[/C][C]-24.1908106677798[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]372.090086438254[/C][C]-9.09008643825427[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]435.498520155351[/C][C]-0.498520155351457[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]478.418370094784[/C][C]12.5816299052164[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]476.297754928993[/C][C]28.7022450710072[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]417.219149854212[/C][C]-13.2191498542122[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.436902962756[/C][C]4.56309703724361[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]311.876475452214[/C][C]-1.87647545221392[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]345.975115388032[/C][C]-8.97511538803184[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]350.643058140311[/C][C]9.35694185968907[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]334.994580207103[/C][C]7.00541979289682[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.685875425541[/C][C]15.3141245744593[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]386.498865844795[/C][C]9.50113415520485[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.130762273234[/C][C]12.8692377267661[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]491.605011219989[/C][C]-19.6050112199886[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]543.780046558761[/C][C]4.21995344123911[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]549.935327391731[/C][C]9.06467260826867[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]449.63874670941[/C][C]13.3612532905901[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]399.913034211778[/C][C]7.08696578822219[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]348.39721266747[/C][C]13.6027873325298[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]386.652084703312[/C][C]18.3479152966885[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]413.916781467446[/C][C]3.08321853255381[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]392.451160427232[/C][C]-1.45116042723186[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]460.170497130599[/C][C]-41.1704971305986[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]435.421755571338[/C][C]25.5782444286622[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]465.095102857788[/C][C]6.90489714221167[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]534.352674389889[/C][C]0.647325610110556[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]616.735366186234[/C][C]5.26463381376573[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]627.551069242217[/C][C]-21.5510692422174[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.133139879421[/C][C]-2.13313987942115[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]446.162791637769[/C][C]14.8372083622311[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]395.452817969961[/C][C]-5.45281796996073[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]434.572452493994[/C][C]-2.57245249399358[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41209&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41209&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
13115111.0818087088673.91819129113324
14126122.3314538747443.66854612525647
15141137.4390153761593.56098462384085
16135132.3233832202962.67661677970437
17125123.4796828181491.52031718185104
18149147.667290233191.33270976680993
19170162.4432448019017.5567551980989
20170165.5295923942204.47040760577954
21158153.8877144649354.11228553506467
22133136.318642929538-3.31864292953799
23114119.090609201624-5.09060920162445
24140133.9887149606766.01128503932392
25145134.83037010966710.1696298903335
26150149.7051460153830.294853984617163
27178166.54082485992611.459175140074
28163161.7497291200721.25027087992819
29172149.75750588289222.2424941171083
30178185.647729927993-7.64772992799348
31199206.262157804506-7.26215780450633
32199203.180877899402-4.18087789940165
33184186.419241979637-2.41924197963704
34162158.1477827595293.85221724047076
35146138.3687169810757.63128301892533
36166169.141347816421-3.14134781642136
37171170.3609458701970.639054129803043
38180177.4381780479152.56182195208476
39193206.247937689474-13.2479376894740
40181185.96072416093-4.96072416092983
41183184.798364145761-1.7983641457605
42218195.6843597335522.3156402664498
43230227.4983879410402.50161205896046
44242229.00476968852012.9952303114803
45209215.630988418272-6.63098841827184
46191186.2865983510924.71340164890827
47172166.0376439935615.96235600643919
48194192.8425095100681.15749048993183
49196198.309952885672-2.30995288567220
50196206.984486038047-10.9844860380474
51236224.19294089622011.8070591037797
52235214.06541785566020.9345821443404
53229222.6752524471116.32474755288877
54243256.738013695478-13.7380136954783
55264268.357973304409-4.35797330440869
56272275.595124348777-3.59512434877661
57237240.950022441516-3.95002244151587
58211216.418700337473-5.41870033747318
59180191.302342357418-11.3023423574182
60201212.165187519306-11.1651875193057
61204211.884585973222-7.8845859732215
62188213.27848237778-25.2784823777802
63235241.844280631674-6.84428063167385
64227231.126644343173-4.12664434317313
65234222.84756235743411.1524376425660
66264244.40357368198319.5964263180174
67302270.92543678752731.0745632124733
68293288.4633043826434.53669561735745
69259253.3255731144335.67442688556693
70229228.4572425854860.542757414514483
71203198.7667237110574.23327628894268
72229226.325370930042.67462906995985
73242232.5076979211179.49230207888297
74233226.1554706830856.84452931691496
75267284.984135370836-17.9841353708361
76269271.954055875778-2.95405587577795
77270274.414364054023-4.41436405402328
78315301.11087543872713.8891245612733
79364337.4814839970326.5185160029703
80347335.98551213635611.0144878636440
81312297.83665553117314.163344468827
82274267.3004377139306.69956228607032
83237236.9925415061960.00745849380362529
84278266.90068203576511.0993179642347
85284281.6339304999882.36606950001163
86277269.9672327496987.0327672503015
87317320.174971097683-3.17497109768345
88313321.276901514021-8.27690151402084
89318322.045741716532-4.04574171653167
90374367.9511939083846.04880609161643
91413417.203241898467-4.20324189846684
92405394.60621928243210.3937807175679
93355352.3066369650032.69336303499716
94306308.449783989776-2.44978398977639
95271266.6963131926584.30368680734244
96306309.394151440327-3.39415144032654
97315315.103159698907-0.103159698907064
98301304.405343346895-3.40534334689534
99356349.0581654503576.94183454964292
100348349.292530352986-1.29253035298638
101355355.07317102392-0.0731710239201107
102422414.3609383733027.63906162669832
103465462.0911562758412.90884372415928
104467448.9797178527318.0202821472701
105404397.6350099221276.36499007787268
106347345.4509662878931.54903371210713
107305304.2430311120760.756968887923563
108336345.615225431214-9.6152254312135
109340352.616275490588-12.6162754905881
110318334.810864863463-16.8108648634631
111362386.941342201636-24.9413422016360
112348372.19081066778-24.1908106677798
113363372.090086438254-9.09008643825427
114435435.498520155351-0.498520155351457
115491478.41837009478412.5816299052164
116505476.29775492899328.7022450710072
117404417.219149854212-13.2191498542122
118359354.4369029627564.56309703724361
119310311.876475452214-1.87647545221392
120337345.975115388032-8.97511538803184
121360350.6430581403119.35694185968907
122342334.9945802071037.00541979289682
123406390.68587542554115.3141245744593
124396386.4988658447959.50113415520485
125420407.13076227323412.8692377267661
126472491.605011219989-19.6050112199886
127548543.7800465587614.21995344123911
128559549.9353273917319.06467260826867
129463449.6387467094113.3612532905901
130407399.9130342117787.08696578822219
131362348.3972126674713.6027873325298
132405386.65208470331218.3479152966885
133417413.9167814674463.08321853255381
134391392.451160427232-1.45116042723186
135419460.170497130599-41.1704971305986
136461435.42175557133825.5782444286622
137472465.0951028577886.90489714221167
138535534.3526743898890.647325610110556
139622616.7353661862345.26463381376573
140606627.551069242217-21.5510692422174
141508510.133139879421-2.13313987942115
142461446.16279163776914.8372083622311
143390395.452817969961-5.45281796996073
144432434.572452493994-2.57245249399358







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145447.055907793737427.306081839849466.805733747625
146419.712252491671399.132529133901440.291975849441
147464.867062938288442.962936376511486.771189500064
148496.083938082048472.83286932562519.335006838475
149507.532607460904483.137451881794531.927763040015
150575.450839384529548.708168067459602.1935107016
151666.592241551563636.628745108617696.555737994509
152657.91364795573627.18198410402688.645311807441
153550.308727275637521.63972761337578.977726937903
154492.985286976114465.015260234125520.955313718102
155420.2072394493393.468712587960446.94576631064
156465.63445928396443.300359438503487.968559129416

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 447.055907793737 & 427.306081839849 & 466.805733747625 \tabularnewline
146 & 419.712252491671 & 399.132529133901 & 440.291975849441 \tabularnewline
147 & 464.867062938288 & 442.962936376511 & 486.771189500064 \tabularnewline
148 & 496.083938082048 & 472.83286932562 & 519.335006838475 \tabularnewline
149 & 507.532607460904 & 483.137451881794 & 531.927763040015 \tabularnewline
150 & 575.450839384529 & 548.708168067459 & 602.1935107016 \tabularnewline
151 & 666.592241551563 & 636.628745108617 & 696.555737994509 \tabularnewline
152 & 657.91364795573 & 627.18198410402 & 688.645311807441 \tabularnewline
153 & 550.308727275637 & 521.63972761337 & 578.977726937903 \tabularnewline
154 & 492.985286976114 & 465.015260234125 & 520.955313718102 \tabularnewline
155 & 420.2072394493 & 393.468712587960 & 446.94576631064 \tabularnewline
156 & 465.63445928396 & 443.300359438503 & 487.968559129416 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41209&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]447.055907793737[/C][C]427.306081839849[/C][C]466.805733747625[/C][/ROW]
[ROW][C]146[/C][C]419.712252491671[/C][C]399.132529133901[/C][C]440.291975849441[/C][/ROW]
[ROW][C]147[/C][C]464.867062938288[/C][C]442.962936376511[/C][C]486.771189500064[/C][/ROW]
[ROW][C]148[/C][C]496.083938082048[/C][C]472.83286932562[/C][C]519.335006838475[/C][/ROW]
[ROW][C]149[/C][C]507.532607460904[/C][C]483.137451881794[/C][C]531.927763040015[/C][/ROW]
[ROW][C]150[/C][C]575.450839384529[/C][C]548.708168067459[/C][C]602.1935107016[/C][/ROW]
[ROW][C]151[/C][C]666.592241551563[/C][C]636.628745108617[/C][C]696.555737994509[/C][/ROW]
[ROW][C]152[/C][C]657.91364795573[/C][C]627.18198410402[/C][C]688.645311807441[/C][/ROW]
[ROW][C]153[/C][C]550.308727275637[/C][C]521.63972761337[/C][C]578.977726937903[/C][/ROW]
[ROW][C]154[/C][C]492.985286976114[/C][C]465.015260234125[/C][C]520.955313718102[/C][/ROW]
[ROW][C]155[/C][C]420.2072394493[/C][C]393.468712587960[/C][C]446.94576631064[/C][/ROW]
[ROW][C]156[/C][C]465.63445928396[/C][C]443.300359438503[/C][C]487.968559129416[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41209&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41209&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
145447.055907793737427.306081839849466.805733747625
146419.712252491671399.132529133901440.291975849441
147464.867062938288442.962936376511486.771189500064
148496.083938082048472.83286932562519.335006838475
149507.532607460904483.137451881794531.927763040015
150575.450839384529548.708168067459602.1935107016
151666.592241551563636.628745108617696.555737994509
152657.91364795573627.18198410402688.645311807441
153550.308727275637521.63972761337578.977726937903
154492.985286976114465.015260234125520.955313718102
155420.2072394493393.468712587960446.94576631064
156465.63445928396443.300359438503487.968559129416



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')