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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 computationMon, 28 Nov 2011 13:23:03 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322504629plw710xv0nz3d1h.htm/, Retrieved Fri, 26 Apr 2024 01:38:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147952, Retrieved Fri, 26 Apr 2024 01:38:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [HPC Retail Sales] [2008-03-10 17:56:43] [74be16979710d4c4e7c6647856088456]
- RM      [Exponential Smoothing] [Triple exponentia...] [2011-11-28 18:23:03] [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'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147952&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147952&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147952&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'AstonUniversity' @ aston.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.247959489735664
beta0.0345337296488464
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.247959489735664 \tabularnewline
beta & 0.0345337296488464 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147952&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]0.247959489735664[/C][/ROW]
[ROW][C]beta[/C][C]0.0345337296488464[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147952&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147952&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
alpha0.247959489735664
beta0.0345337296488464
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13115110.6431623931624.3568376068376
14126122.0731433875883.92685661241249
15141137.4301320536293.56986794637126
16135132.0625039833172.93749601668324
17125123.063226970461.93677302953955
18149147.499062384581.5009376154205
19170160.1313474162149.86865258378592
20170163.5063250513586.4936749486416
21158153.8500500719094.14994992809099
22133138.731495445679-5.73149544567943
23114123.321997399523-9.32199739952262
24140135.6090430410424.39095695895753
25145136.8604638401148.13953615988575
26150149.1778641595620.822135840438222
27178163.74277873872514.2572212612748
28163160.887368307282.11263169271962
29172151.2616671194820.7383328805198
30178180.52345193849-2.52345193848959
31199198.9079414187770.092058581222858
32199197.6941126433431.30588735665711
33184185.317990243194-1.31799024319412
34162161.6946288593080.305371140692131
35146145.4157878514160.584212148584157
36166170.890657487436-4.89065748743587
37171172.999007307477-1.99900730747703
38180177.5519720772142.44802792278551
39193202.890186966571-9.8901869665709
40181184.973617184963-3.97361718496342
41183187.853581322793-4.85358132279288
42218193.06418760533524.9358123946645
43230220.2479488461149.75205115388616
44242222.44849022136719.5515097786325
45209212.885752351814-3.88575235181398
46191190.0870074036020.912992596398055
47172174.414218571941-2.41421857194123
48194195.248286577793-1.24828657779273
49196200.685635881058-4.68563588105766
50196208.144971709426-12.1449717094265
51236220.68911254080815.310887459192
52235213.78992052088921.2100794791108
53229222.787331740536.21266825947043
54243253.774189579802-10.7741895798021
55264261.0081689744292.99183102557083
56272269.1678075187852.83219248121492
57237237.95618678454-0.956186784540108
58211219.640392882199-8.64039288219888
59180199.162435425533-19.1624354255328
60201216.642919355326-15.6429193553259
61204215.725163322482-11.7251633224818
62188215.568185948207-27.5681859482067
63235244.542771479216-9.54277147921556
64227235.31134790509-8.3113479050898
65234224.8512269469889.14877305301204
66264242.95770303988621.0422969601138
67302267.8723192988734.12768070113
68293283.3377797468779.66222025312288
69259250.734646991188.2653530088202
70229228.7694833009120.230516699088298
71203202.4970072961720.502992703827601
72229227.5877912857491.41220871425051
73242234.0786217080037.92137829199709
74233227.2801229710195.71987702898087
75267278.751213081094-11.7512130810941
76269270.565926630949-1.56592663094943
77270275.634536741208-5.63453674120763
78315299.61859526655415.3814047334461
79364333.52063681328530.4793631867149
80347330.20156310420616.7984368957938
81312298.89764756239913.1023524376009
82274272.7109857773551.28901422264516
83237247.536595543642-10.5365955436417
84278271.109952789846.89004721015976
85284284.437307658674-0.437307658673717
86277274.4220833394962.57791666050417
87317312.4597305930074.54026940699339
88313316.597926811577-3.59792681157705
89318318.709630586872-0.709630586872152
90374360.36858449974713.6314155002531
91413405.8248697102657.17513028973542
92405386.8730198830618.1269801169402
93355353.5646406373531.43535936264743
94306315.946740877587-9.94674087758722
95271279.342602124885-8.34260212488476
96306316.83391044474-10.8339104447398
97315320.372592752745-5.37259275274511
98301311.475546446946-10.4755464469458
99356347.7148140007458.28518599925457
100348346.6559937740841.3440062259159
101355352.2021792990662.79782070093381
102422405.58288763546716.4171123645327
103465446.9653795972118.0346204027904
104467439.1263223763727.8736776236295
105404395.9492591677778.0507408322232
106347351.735857721497-4.73585772149704
107305317.998757011001-12.9987570110005
108336352.790665052808-16.7906650528085
109340359.237140476179-19.2371404761794
110318343.223593245562-25.2235932455621
111362389.947459573451-27.9474595734515
112348374.406789879838-26.4067898798385
113363373.650027638871-10.6500276388712
114435433.3081180437231.69188195627703
115491471.49933393927319.5006660607272
116505470.67927294531334.320727054687
117404413.504477870091-9.50447787009125
118359354.4830410564344.51695894356556
119310316.06644840636-6.0664484063596
120337349.025200176065-12.0252001760649
121360354.1538562087525.84614379124764
122342339.4130666563972.58693334360328
123406390.77767404240915.2223259575908
124396387.2629846674868.73701533251392
125420407.53409746256112.4659025374395
126472482.867470544425-10.8674705444247
127548531.89171001552216.1082899844785
128559541.90102173974217.0989782602576
129463447.87539022493815.1246097750625
130407406.0943450300010.905654969998807
131362359.3809078701012.61909212989883
132405390.64423675049214.3557632495077
133417416.6123145742680.387685425732229
134391398.878286514511-7.87828651451065
135419457.871953443464-38.8719534434641
136461436.32533337469524.6746666253051
137472463.7475613898488.25243861015184
138535520.84739366095514.1526063390452
139622596.93557876272425.0644212372756
140606610.560492406652-4.56049240665152
141508510.143721671589-2.14372167158911
142461453.7040688180887.29593118191156
143390410.234924183382-20.2349241833815
144432444.833325554045-12.8333255540447

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 115 & 110.643162393162 & 4.3568376068376 \tabularnewline
14 & 126 & 122.073143387588 & 3.92685661241249 \tabularnewline
15 & 141 & 137.430132053629 & 3.56986794637126 \tabularnewline
16 & 135 & 132.062503983317 & 2.93749601668324 \tabularnewline
17 & 125 & 123.06322697046 & 1.93677302953955 \tabularnewline
18 & 149 & 147.49906238458 & 1.5009376154205 \tabularnewline
19 & 170 & 160.131347416214 & 9.86865258378592 \tabularnewline
20 & 170 & 163.506325051358 & 6.4936749486416 \tabularnewline
21 & 158 & 153.850050071909 & 4.14994992809099 \tabularnewline
22 & 133 & 138.731495445679 & -5.73149544567943 \tabularnewline
23 & 114 & 123.321997399523 & -9.32199739952262 \tabularnewline
24 & 140 & 135.609043041042 & 4.39095695895753 \tabularnewline
25 & 145 & 136.860463840114 & 8.13953615988575 \tabularnewline
26 & 150 & 149.177864159562 & 0.822135840438222 \tabularnewline
27 & 178 & 163.742778738725 & 14.2572212612748 \tabularnewline
28 & 163 & 160.88736830728 & 2.11263169271962 \tabularnewline
29 & 172 & 151.26166711948 & 20.7383328805198 \tabularnewline
30 & 178 & 180.52345193849 & -2.52345193848959 \tabularnewline
31 & 199 & 198.907941418777 & 0.092058581222858 \tabularnewline
32 & 199 & 197.694112643343 & 1.30588735665711 \tabularnewline
33 & 184 & 185.317990243194 & -1.31799024319412 \tabularnewline
34 & 162 & 161.694628859308 & 0.305371140692131 \tabularnewline
35 & 146 & 145.415787851416 & 0.584212148584157 \tabularnewline
36 & 166 & 170.890657487436 & -4.89065748743587 \tabularnewline
37 & 171 & 172.999007307477 & -1.99900730747703 \tabularnewline
38 & 180 & 177.551972077214 & 2.44802792278551 \tabularnewline
39 & 193 & 202.890186966571 & -9.8901869665709 \tabularnewline
40 & 181 & 184.973617184963 & -3.97361718496342 \tabularnewline
41 & 183 & 187.853581322793 & -4.85358132279288 \tabularnewline
42 & 218 & 193.064187605335 & 24.9358123946645 \tabularnewline
43 & 230 & 220.247948846114 & 9.75205115388616 \tabularnewline
44 & 242 & 222.448490221367 & 19.5515097786325 \tabularnewline
45 & 209 & 212.885752351814 & -3.88575235181398 \tabularnewline
46 & 191 & 190.087007403602 & 0.912992596398055 \tabularnewline
47 & 172 & 174.414218571941 & -2.41421857194123 \tabularnewline
48 & 194 & 195.248286577793 & -1.24828657779273 \tabularnewline
49 & 196 & 200.685635881058 & -4.68563588105766 \tabularnewline
50 & 196 & 208.144971709426 & -12.1449717094265 \tabularnewline
51 & 236 & 220.689112540808 & 15.310887459192 \tabularnewline
52 & 235 & 213.789920520889 & 21.2100794791108 \tabularnewline
53 & 229 & 222.78733174053 & 6.21266825947043 \tabularnewline
54 & 243 & 253.774189579802 & -10.7741895798021 \tabularnewline
55 & 264 & 261.008168974429 & 2.99183102557083 \tabularnewline
56 & 272 & 269.167807518785 & 2.83219248121492 \tabularnewline
57 & 237 & 237.95618678454 & -0.956186784540108 \tabularnewline
58 & 211 & 219.640392882199 & -8.64039288219888 \tabularnewline
59 & 180 & 199.162435425533 & -19.1624354255328 \tabularnewline
60 & 201 & 216.642919355326 & -15.6429193553259 \tabularnewline
61 & 204 & 215.725163322482 & -11.7251633224818 \tabularnewline
62 & 188 & 215.568185948207 & -27.5681859482067 \tabularnewline
63 & 235 & 244.542771479216 & -9.54277147921556 \tabularnewline
64 & 227 & 235.31134790509 & -8.3113479050898 \tabularnewline
65 & 234 & 224.851226946988 & 9.14877305301204 \tabularnewline
66 & 264 & 242.957703039886 & 21.0422969601138 \tabularnewline
67 & 302 & 267.87231929887 & 34.12768070113 \tabularnewline
68 & 293 & 283.337779746877 & 9.66222025312288 \tabularnewline
69 & 259 & 250.73464699118 & 8.2653530088202 \tabularnewline
70 & 229 & 228.769483300912 & 0.230516699088298 \tabularnewline
71 & 203 & 202.497007296172 & 0.502992703827601 \tabularnewline
72 & 229 & 227.587791285749 & 1.41220871425051 \tabularnewline
73 & 242 & 234.078621708003 & 7.92137829199709 \tabularnewline
74 & 233 & 227.280122971019 & 5.71987702898087 \tabularnewline
75 & 267 & 278.751213081094 & -11.7512130810941 \tabularnewline
76 & 269 & 270.565926630949 & -1.56592663094943 \tabularnewline
77 & 270 & 275.634536741208 & -5.63453674120763 \tabularnewline
78 & 315 & 299.618595266554 & 15.3814047334461 \tabularnewline
79 & 364 & 333.520636813285 & 30.4793631867149 \tabularnewline
80 & 347 & 330.201563104206 & 16.7984368957938 \tabularnewline
81 & 312 & 298.897647562399 & 13.1023524376009 \tabularnewline
82 & 274 & 272.710985777355 & 1.28901422264516 \tabularnewline
83 & 237 & 247.536595543642 & -10.5365955436417 \tabularnewline
84 & 278 & 271.10995278984 & 6.89004721015976 \tabularnewline
85 & 284 & 284.437307658674 & -0.437307658673717 \tabularnewline
86 & 277 & 274.422083339496 & 2.57791666050417 \tabularnewline
87 & 317 & 312.459730593007 & 4.54026940699339 \tabularnewline
88 & 313 & 316.597926811577 & -3.59792681157705 \tabularnewline
89 & 318 & 318.709630586872 & -0.709630586872152 \tabularnewline
90 & 374 & 360.368584499747 & 13.6314155002531 \tabularnewline
91 & 413 & 405.824869710265 & 7.17513028973542 \tabularnewline
92 & 405 & 386.87301988306 & 18.1269801169402 \tabularnewline
93 & 355 & 353.564640637353 & 1.43535936264743 \tabularnewline
94 & 306 & 315.946740877587 & -9.94674087758722 \tabularnewline
95 & 271 & 279.342602124885 & -8.34260212488476 \tabularnewline
96 & 306 & 316.83391044474 & -10.8339104447398 \tabularnewline
97 & 315 & 320.372592752745 & -5.37259275274511 \tabularnewline
98 & 301 & 311.475546446946 & -10.4755464469458 \tabularnewline
99 & 356 & 347.714814000745 & 8.28518599925457 \tabularnewline
100 & 348 & 346.655993774084 & 1.3440062259159 \tabularnewline
101 & 355 & 352.202179299066 & 2.79782070093381 \tabularnewline
102 & 422 & 405.582887635467 & 16.4171123645327 \tabularnewline
103 & 465 & 446.96537959721 & 18.0346204027904 \tabularnewline
104 & 467 & 439.12632237637 & 27.8736776236295 \tabularnewline
105 & 404 & 395.949259167777 & 8.0507408322232 \tabularnewline
106 & 347 & 351.735857721497 & -4.73585772149704 \tabularnewline
107 & 305 & 317.998757011001 & -12.9987570110005 \tabularnewline
108 & 336 & 352.790665052808 & -16.7906650528085 \tabularnewline
109 & 340 & 359.237140476179 & -19.2371404761794 \tabularnewline
110 & 318 & 343.223593245562 & -25.2235932455621 \tabularnewline
111 & 362 & 389.947459573451 & -27.9474595734515 \tabularnewline
112 & 348 & 374.406789879838 & -26.4067898798385 \tabularnewline
113 & 363 & 373.650027638871 & -10.6500276388712 \tabularnewline
114 & 435 & 433.308118043723 & 1.69188195627703 \tabularnewline
115 & 491 & 471.499333939273 & 19.5006660607272 \tabularnewline
116 & 505 & 470.679272945313 & 34.320727054687 \tabularnewline
117 & 404 & 413.504477870091 & -9.50447787009125 \tabularnewline
118 & 359 & 354.483041056434 & 4.51695894356556 \tabularnewline
119 & 310 & 316.06644840636 & -6.0664484063596 \tabularnewline
120 & 337 & 349.025200176065 & -12.0252001760649 \tabularnewline
121 & 360 & 354.153856208752 & 5.84614379124764 \tabularnewline
122 & 342 & 339.413066656397 & 2.58693334360328 \tabularnewline
123 & 406 & 390.777674042409 & 15.2223259575908 \tabularnewline
124 & 396 & 387.262984667486 & 8.73701533251392 \tabularnewline
125 & 420 & 407.534097462561 & 12.4659025374395 \tabularnewline
126 & 472 & 482.867470544425 & -10.8674705444247 \tabularnewline
127 & 548 & 531.891710015522 & 16.1082899844785 \tabularnewline
128 & 559 & 541.901021739742 & 17.0989782602576 \tabularnewline
129 & 463 & 447.875390224938 & 15.1246097750625 \tabularnewline
130 & 407 & 406.094345030001 & 0.905654969998807 \tabularnewline
131 & 362 & 359.380907870101 & 2.61909212989883 \tabularnewline
132 & 405 & 390.644236750492 & 14.3557632495077 \tabularnewline
133 & 417 & 416.612314574268 & 0.387685425732229 \tabularnewline
134 & 391 & 398.878286514511 & -7.87828651451065 \tabularnewline
135 & 419 & 457.871953443464 & -38.8719534434641 \tabularnewline
136 & 461 & 436.325333374695 & 24.6746666253051 \tabularnewline
137 & 472 & 463.747561389848 & 8.25243861015184 \tabularnewline
138 & 535 & 520.847393660955 & 14.1526063390452 \tabularnewline
139 & 622 & 596.935578762724 & 25.0644212372756 \tabularnewline
140 & 606 & 610.560492406652 & -4.56049240665152 \tabularnewline
141 & 508 & 510.143721671589 & -2.14372167158911 \tabularnewline
142 & 461 & 453.704068818088 & 7.29593118191156 \tabularnewline
143 & 390 & 410.234924183382 & -20.2349241833815 \tabularnewline
144 & 432 & 444.833325554045 & -12.8333255540447 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147952&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]110.643162393162[/C][C]4.3568376068376[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]122.073143387588[/C][C]3.92685661241249[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]137.430132053629[/C][C]3.56986794637126[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]132.062503983317[/C][C]2.93749601668324[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]123.06322697046[/C][C]1.93677302953955[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]147.49906238458[/C][C]1.5009376154205[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]160.131347416214[/C][C]9.86865258378592[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]163.506325051358[/C][C]6.4936749486416[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]153.850050071909[/C][C]4.14994992809099[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]138.731495445679[/C][C]-5.73149544567943[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]123.321997399523[/C][C]-9.32199739952262[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]135.609043041042[/C][C]4.39095695895753[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]136.860463840114[/C][C]8.13953615988575[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]149.177864159562[/C][C]0.822135840438222[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]163.742778738725[/C][C]14.2572212612748[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]160.88736830728[/C][C]2.11263169271962[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]151.26166711948[/C][C]20.7383328805198[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]180.52345193849[/C][C]-2.52345193848959[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]198.907941418777[/C][C]0.092058581222858[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]197.694112643343[/C][C]1.30588735665711[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]185.317990243194[/C][C]-1.31799024319412[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]161.694628859308[/C][C]0.305371140692131[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]145.415787851416[/C][C]0.584212148584157[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]170.890657487436[/C][C]-4.89065748743587[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]172.999007307477[/C][C]-1.99900730747703[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]177.551972077214[/C][C]2.44802792278551[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]202.890186966571[/C][C]-9.8901869665709[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]184.973617184963[/C][C]-3.97361718496342[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]187.853581322793[/C][C]-4.85358132279288[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]193.064187605335[/C][C]24.9358123946645[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]220.247948846114[/C][C]9.75205115388616[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]222.448490221367[/C][C]19.5515097786325[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]212.885752351814[/C][C]-3.88575235181398[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]190.087007403602[/C][C]0.912992596398055[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]174.414218571941[/C][C]-2.41421857194123[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]195.248286577793[/C][C]-1.24828657779273[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]200.685635881058[/C][C]-4.68563588105766[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]208.144971709426[/C][C]-12.1449717094265[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]220.689112540808[/C][C]15.310887459192[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]213.789920520889[/C][C]21.2100794791108[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]222.78733174053[/C][C]6.21266825947043[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]253.774189579802[/C][C]-10.7741895798021[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.008168974429[/C][C]2.99183102557083[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]269.167807518785[/C][C]2.83219248121492[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]237.95618678454[/C][C]-0.956186784540108[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]219.640392882199[/C][C]-8.64039288219888[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]199.162435425533[/C][C]-19.1624354255328[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]216.642919355326[/C][C]-15.6429193553259[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]215.725163322482[/C][C]-11.7251633224818[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]215.568185948207[/C][C]-27.5681859482067[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]244.542771479216[/C][C]-9.54277147921556[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]235.31134790509[/C][C]-8.3113479050898[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]224.851226946988[/C][C]9.14877305301204[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]242.957703039886[/C][C]21.0422969601138[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]267.87231929887[/C][C]34.12768070113[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]283.337779746877[/C][C]9.66222025312288[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]250.73464699118[/C][C]8.2653530088202[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]228.769483300912[/C][C]0.230516699088298[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]202.497007296172[/C][C]0.502992703827601[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]227.587791285749[/C][C]1.41220871425051[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]234.078621708003[/C][C]7.92137829199709[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]227.280122971019[/C][C]5.71987702898087[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]278.751213081094[/C][C]-11.7512130810941[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]270.565926630949[/C][C]-1.56592663094943[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]275.634536741208[/C][C]-5.63453674120763[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]299.618595266554[/C][C]15.3814047334461[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]333.520636813285[/C][C]30.4793631867149[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]330.201563104206[/C][C]16.7984368957938[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]298.897647562399[/C][C]13.1023524376009[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]272.710985777355[/C][C]1.28901422264516[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]247.536595543642[/C][C]-10.5365955436417[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]271.10995278984[/C][C]6.89004721015976[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]284.437307658674[/C][C]-0.437307658673717[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]274.422083339496[/C][C]2.57791666050417[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]312.459730593007[/C][C]4.54026940699339[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]316.597926811577[/C][C]-3.59792681157705[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.709630586872[/C][C]-0.709630586872152[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]360.368584499747[/C][C]13.6314155002531[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]405.824869710265[/C][C]7.17513028973542[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]386.87301988306[/C][C]18.1269801169402[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]353.564640637353[/C][C]1.43535936264743[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]315.946740877587[/C][C]-9.94674087758722[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]279.342602124885[/C][C]-8.34260212488476[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]316.83391044474[/C][C]-10.8339104447398[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]320.372592752745[/C][C]-5.37259275274511[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]311.475546446946[/C][C]-10.4755464469458[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]347.714814000745[/C][C]8.28518599925457[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]346.655993774084[/C][C]1.3440062259159[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]352.202179299066[/C][C]2.79782070093381[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]405.582887635467[/C][C]16.4171123645327[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]446.96537959721[/C][C]18.0346204027904[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]439.12632237637[/C][C]27.8736776236295[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]395.949259167777[/C][C]8.0507408322232[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]351.735857721497[/C][C]-4.73585772149704[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]317.998757011001[/C][C]-12.9987570110005[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]352.790665052808[/C][C]-16.7906650528085[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]359.237140476179[/C][C]-19.2371404761794[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]343.223593245562[/C][C]-25.2235932455621[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]389.947459573451[/C][C]-27.9474595734515[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]374.406789879838[/C][C]-26.4067898798385[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]373.650027638871[/C][C]-10.6500276388712[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]433.308118043723[/C][C]1.69188195627703[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]471.499333939273[/C][C]19.5006660607272[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]470.679272945313[/C][C]34.320727054687[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]413.504477870091[/C][C]-9.50447787009125[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]354.483041056434[/C][C]4.51695894356556[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]316.06644840636[/C][C]-6.0664484063596[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]349.025200176065[/C][C]-12.0252001760649[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]354.153856208752[/C][C]5.84614379124764[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]339.413066656397[/C][C]2.58693334360328[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]390.777674042409[/C][C]15.2223259575908[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]387.262984667486[/C][C]8.73701533251392[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]407.534097462561[/C][C]12.4659025374395[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]482.867470544425[/C][C]-10.8674705444247[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]531.891710015522[/C][C]16.1082899844785[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]541.901021739742[/C][C]17.0989782602576[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]447.875390224938[/C][C]15.1246097750625[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]406.094345030001[/C][C]0.905654969998807[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]359.380907870101[/C][C]2.61909212989883[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]390.644236750492[/C][C]14.3557632495077[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]416.612314574268[/C][C]0.387685425732229[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]398.878286514511[/C][C]-7.87828651451065[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]457.871953443464[/C][C]-38.8719534434641[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]436.325333374695[/C][C]24.6746666253051[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]463.747561389848[/C][C]8.25243861015184[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]520.847393660955[/C][C]14.1526063390452[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]596.935578762724[/C][C]25.0644212372756[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]610.560492406652[/C][C]-4.56049240665152[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]510.143721671589[/C][C]-2.14372167158911[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]453.704068818088[/C][C]7.29593118191156[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]410.234924183382[/C][C]-20.2349241833815[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]444.833325554045[/C][C]-12.8333255540447[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147952&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147952&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
13115110.6431623931624.3568376068376
14126122.0731433875883.92685661241249
15141137.4301320536293.56986794637126
16135132.0625039833172.93749601668324
17125123.063226970461.93677302953955
18149147.499062384581.5009376154205
19170160.1313474162149.86865258378592
20170163.5063250513586.4936749486416
21158153.8500500719094.14994992809099
22133138.731495445679-5.73149544567943
23114123.321997399523-9.32199739952262
24140135.6090430410424.39095695895753
25145136.8604638401148.13953615988575
26150149.1778641595620.822135840438222
27178163.74277873872514.2572212612748
28163160.887368307282.11263169271962
29172151.2616671194820.7383328805198
30178180.52345193849-2.52345193848959
31199198.9079414187770.092058581222858
32199197.6941126433431.30588735665711
33184185.317990243194-1.31799024319412
34162161.6946288593080.305371140692131
35146145.4157878514160.584212148584157
36166170.890657487436-4.89065748743587
37171172.999007307477-1.99900730747703
38180177.5519720772142.44802792278551
39193202.890186966571-9.8901869665709
40181184.973617184963-3.97361718496342
41183187.853581322793-4.85358132279288
42218193.06418760533524.9358123946645
43230220.2479488461149.75205115388616
44242222.44849022136719.5515097786325
45209212.885752351814-3.88575235181398
46191190.0870074036020.912992596398055
47172174.414218571941-2.41421857194123
48194195.248286577793-1.24828657779273
49196200.685635881058-4.68563588105766
50196208.144971709426-12.1449717094265
51236220.68911254080815.310887459192
52235213.78992052088921.2100794791108
53229222.787331740536.21266825947043
54243253.774189579802-10.7741895798021
55264261.0081689744292.99183102557083
56272269.1678075187852.83219248121492
57237237.95618678454-0.956186784540108
58211219.640392882199-8.64039288219888
59180199.162435425533-19.1624354255328
60201216.642919355326-15.6429193553259
61204215.725163322482-11.7251633224818
62188215.568185948207-27.5681859482067
63235244.542771479216-9.54277147921556
64227235.31134790509-8.3113479050898
65234224.8512269469889.14877305301204
66264242.95770303988621.0422969601138
67302267.8723192988734.12768070113
68293283.3377797468779.66222025312288
69259250.734646991188.2653530088202
70229228.7694833009120.230516699088298
71203202.4970072961720.502992703827601
72229227.5877912857491.41220871425051
73242234.0786217080037.92137829199709
74233227.2801229710195.71987702898087
75267278.751213081094-11.7512130810941
76269270.565926630949-1.56592663094943
77270275.634536741208-5.63453674120763
78315299.61859526655415.3814047334461
79364333.52063681328530.4793631867149
80347330.20156310420616.7984368957938
81312298.89764756239913.1023524376009
82274272.7109857773551.28901422264516
83237247.536595543642-10.5365955436417
84278271.109952789846.89004721015976
85284284.437307658674-0.437307658673717
86277274.4220833394962.57791666050417
87317312.4597305930074.54026940699339
88313316.597926811577-3.59792681157705
89318318.709630586872-0.709630586872152
90374360.36858449974713.6314155002531
91413405.8248697102657.17513028973542
92405386.8730198830618.1269801169402
93355353.5646406373531.43535936264743
94306315.946740877587-9.94674087758722
95271279.342602124885-8.34260212488476
96306316.83391044474-10.8339104447398
97315320.372592752745-5.37259275274511
98301311.475546446946-10.4755464469458
99356347.7148140007458.28518599925457
100348346.6559937740841.3440062259159
101355352.2021792990662.79782070093381
102422405.58288763546716.4171123645327
103465446.9653795972118.0346204027904
104467439.1263223763727.8736776236295
105404395.9492591677778.0507408322232
106347351.735857721497-4.73585772149704
107305317.998757011001-12.9987570110005
108336352.790665052808-16.7906650528085
109340359.237140476179-19.2371404761794
110318343.223593245562-25.2235932455621
111362389.947459573451-27.9474595734515
112348374.406789879838-26.4067898798385
113363373.650027638871-10.6500276388712
114435433.3081180437231.69188195627703
115491471.49933393927319.5006660607272
116505470.67927294531334.320727054687
117404413.504477870091-9.50447787009125
118359354.4830410564344.51695894356556
119310316.06644840636-6.0664484063596
120337349.025200176065-12.0252001760649
121360354.1538562087525.84614379124764
122342339.4130666563972.58693334360328
123406390.77767404240915.2223259575908
124396387.2629846674868.73701533251392
125420407.53409746256112.4659025374395
126472482.867470544425-10.8674705444247
127548531.89171001552216.1082899844785
128559541.90102173974217.0989782602576
129463447.87539022493815.1246097750625
130407406.0943450300010.905654969998807
131362359.3809078701012.61909212989883
132405390.64423675049214.3557632495077
133417416.6123145742680.387685425732229
134391398.878286514511-7.87828651451065
135419457.871953443464-38.8719534434641
136461436.32533337469524.6746666253051
137472463.7475613898488.25243861015184
138535520.84739366095514.1526063390452
139622596.93557876272425.0644212372756
140606610.560492406652-4.56049240665152
141508510.143721671589-2.14372167158911
142461453.7040688180887.29593118191156
143390410.234924183382-20.2349241833815
144432444.833325554045-12.8333255540447







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145453.497721751321428.415266965019478.580176537622
146429.390569251949403.496001603239455.285136900659
147467.036052088741440.301472551842493.770631625639
148503.25740665386475.65579207998530.85902122774
149512.339520167483.844695250901540.8343450831
150571.887965749639542.4745714567601.301360042577
151652.609534991378622.252994696776682.96607528598
152637.462256917306606.138741269286668.785772565325
153539.754768946301507.441160256023572.068377636578
154490.724986086209457.398842867372524.051129305046
155424.459265263961390.098787394923458.819743132999
156469.531518789793434.115513646614504.947523932972

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 453.497721751321 & 428.415266965019 & 478.580176537622 \tabularnewline
146 & 429.390569251949 & 403.496001603239 & 455.285136900659 \tabularnewline
147 & 467.036052088741 & 440.301472551842 & 493.770631625639 \tabularnewline
148 & 503.25740665386 & 475.65579207998 & 530.85902122774 \tabularnewline
149 & 512.339520167 & 483.844695250901 & 540.8343450831 \tabularnewline
150 & 571.887965749639 & 542.4745714567 & 601.301360042577 \tabularnewline
151 & 652.609534991378 & 622.252994696776 & 682.96607528598 \tabularnewline
152 & 637.462256917306 & 606.138741269286 & 668.785772565325 \tabularnewline
153 & 539.754768946301 & 507.441160256023 & 572.068377636578 \tabularnewline
154 & 490.724986086209 & 457.398842867372 & 524.051129305046 \tabularnewline
155 & 424.459265263961 & 390.098787394923 & 458.819743132999 \tabularnewline
156 & 469.531518789793 & 434.115513646614 & 504.947523932972 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147952&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]453.497721751321[/C][C]428.415266965019[/C][C]478.580176537622[/C][/ROW]
[ROW][C]146[/C][C]429.390569251949[/C][C]403.496001603239[/C][C]455.285136900659[/C][/ROW]
[ROW][C]147[/C][C]467.036052088741[/C][C]440.301472551842[/C][C]493.770631625639[/C][/ROW]
[ROW][C]148[/C][C]503.25740665386[/C][C]475.65579207998[/C][C]530.85902122774[/C][/ROW]
[ROW][C]149[/C][C]512.339520167[/C][C]483.844695250901[/C][C]540.8343450831[/C][/ROW]
[ROW][C]150[/C][C]571.887965749639[/C][C]542.4745714567[/C][C]601.301360042577[/C][/ROW]
[ROW][C]151[/C][C]652.609534991378[/C][C]622.252994696776[/C][C]682.96607528598[/C][/ROW]
[ROW][C]152[/C][C]637.462256917306[/C][C]606.138741269286[/C][C]668.785772565325[/C][/ROW]
[ROW][C]153[/C][C]539.754768946301[/C][C]507.441160256023[/C][C]572.068377636578[/C][/ROW]
[ROW][C]154[/C][C]490.724986086209[/C][C]457.398842867372[/C][C]524.051129305046[/C][/ROW]
[ROW][C]155[/C][C]424.459265263961[/C][C]390.098787394923[/C][C]458.819743132999[/C][/ROW]
[ROW][C]156[/C][C]469.531518789793[/C][C]434.115513646614[/C][C]504.947523932972[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147952&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147952&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
145453.497721751321428.415266965019478.580176537622
146429.390569251949403.496001603239455.285136900659
147467.036052088741440.301472551842493.770631625639
148503.25740665386475.65579207998530.85902122774
149512.339520167483.844695250901540.8343450831
150571.887965749639542.4745714567601.301360042577
151652.609534991378622.252994696776682.96607528598
152637.462256917306606.138741269286668.785772565325
153539.754768946301507.441160256023572.068377636578
154490.724986086209457.398842867372524.051129305046
155424.459265263961390.098787394923458.819743132999
156469.531518789793434.115513646614504.947523932972



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
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')