Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 21 Dec 2012 13:15:02 -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/2012/Dec/21/t1356113755r27t2akmdb46m0a.htm/, Retrieved Fri, 19 Apr 2024 09:30:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204056, Retrieved Fri, 19 Apr 2024 09:30:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [opdracht 10.1doub...] [2012-12-21 18:15:02] [76c30f62b7052b57088120e90a652e05] [Current]
Feedback Forum

Post a new message
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'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204056&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204056&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.00321851640039641
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.00321851640039641 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204056&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.00321851640039641[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204056&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
alpha1
beta0.00321851640039641
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31321248
4129138.025748131203-9.02574813120316
5121134.996698612817-13.9966986128171
6135126.951650008788.04834999121971
7148140.9775537552237.02244624477683
8148154.000155613633-6.00015561363287
9136153.980844014385-17.9808440143855
10119141.922972373032-22.9229723730322
11104124.849194410504-20.8491944105038
12118109.7820909363598.2179090636415
13115123.808540411457-8.8085404114568
14126120.7801899796795.21981002032103
15141131.7969900238369.20300997616368
16135146.826610062378-11.8266100623776
17125140.788545923931-15.7885459239308
18149130.73773022993618.2622697700638
19170154.796507644715.2034923553004
20170175.845440334188-5.84544033418842
21158175.826626688605-17.8266266886053
22133163.769251398244-30.7692513982443
23114138.670220057991-24.6702200579911
24140119.59081855013320.4091814498669
25145145.656505835348-0.656505835348156
26150150.65439286055-0.654392860550132
27178155.65228668639622.3477133136039
28163183.724213168207-20.7242131682073
29172168.657511948243.34248805175986
30178177.6682698008530.331730199147131
31199183.66933747993915.3306625200607
32199204.718679468689-5.71867946868909
33184204.70027380503-20.7002738050305
34162189.633649634296-27.6336496342963
35146167.544710279746-21.5447102797455
36166151.47536827636814.5246317236316
37171171.522116041781-0.522116041780606
38180176.5204356027373.47956439726278
39193185.5316346378167.46836536218396
40181198.555671694218-17.5556716942184
41183186.499168476951-3.49916847695056
42218188.4879063458229.5120936541803
43230223.5828915032566.41710849674425
44242235.6035450721966.39645492780434
45209247.624132167285-38.6241321672852
46191214.499819764454-23.4998197644537
47172196.424185209135-24.4241852091355
48194177.34557556847416.6544244315265
49196199.399178106646-3.39917810664556
50196201.388237796161-5.38823779616146
51236201.37089566444534.6291043355547
52235241.48235000468-6.48235000468028
53229240.461486454877-11.4614864548771
54243234.4245974727498.57540252725082
55264248.45219754642315.5478024535769
56272269.502238403612.49776159638992
57237277.510277490272-40.5102774902724
58211242.379894497785-31.3798944977853
59180216.278897792701-36.2788977927015
60201185.16213356516715.8378664348326
61204206.213107998035-2.21310799803516
62188209.205985073648-21.2059850736476
63235193.13773326290241.8622667370985
64227240.272467654953-13.2724676549527
65234232.2297500001311.77024999986855
66264239.23544757878924.7645524212112
67302269.31515269690532.684847303095
68293307.420349413994-14.4203494139945
69259298.373937282906-39.3739372829061
70229264.247211620013-35.2472116200128
71203234.133767891346-31.1337678913456
72229208.03356334878120.9664366512188
73242234.1010441690017.89895583099903
74233247.126467087889-14.1264670878891
75267238.08100082188728.918999178113
76269272.174077095025-3.17407709502481
77270274.163861275838-4.16386127583837
78315275.15045982003339.8495401799669
79364320.27871621865143.7212837813494
80347369.419433887547-22.4194338875473
81312352.347276571893-40.3472765718926
82274317.217418200535-43.2174182005346
83237279.078322231273-42.0783222312734
84278241.94289246107136.0571075389291
85284283.0589428530360.941057146964226
86277289.061971660897-12.061971660897
87317282.02315000728534.9768499927147
88313322.135723572621-9.13572357262103
89318318.106320096473-0.106320096473098
90374323.10597790349950.8940220965011
91413379.26978114829933.7302188517014
92405418.378342410862-13.3783424108618
93355410.335283996402-55.3352839964023
94306360.157186477339-54.1571864773393
95271310.982880684463-39.9828806844627
96306275.85419512724530.1458048727554
97315310.9512198946314.0487801053693
98301319.964250959801-18.9642509598015
99356305.90321420706650.0967857929339
100348361.064451533748-13.0644515337478
101355353.0224033822241.97759661777576
102422360.02876830937261.9712316906281
103465427.22822373492137.771776265079
104467470.349792816302-3.34979281630223
105404472.339011453185-68.339011453185
106347409.119061224036-62.1190612240361
107305351.919130006709-46.9191300067093
108336309.7681200172926.2318799827096
109340340.852547753228-0.852547753227952
110318344.849803814302-26.849803814302
111362322.76338728037839.2366127196217
112348366.889670961912-18.8896709619124
113363352.82887424612310.1711257538766
114435367.86161018117367.1383898188272
115491440.07769618990150.9223038100992
116505496.241590459868.75840954014035
117404510.269779544606-106.269779544606
118359408.927748516275-49.9277485162751
119310363.767055238841-53.7670552388406
120337314.59400508975322.4059949102466
121360341.66611915183918.3338808481608
122342364.725127048032-22.7251270480319
123406346.65198585392759.3480141460732
124396410.842998410787-14.8429984107869
125420400.79522597697119.2047740230293
126472424.8570368571347.1429631428703
127548477.00876725716870.9912327428317
128559553.2372537040365.76274629596446
129463564.2558011975-101.2558011975
130407467.929907740711-60.9299077407109
131362411.733803833373-49.7338038333728
132405366.57373477008138.426265229919
133417409.6974103349297.30258966507051
134391421.720913839532-30.7209138395319
135419395.62203807450423.3779619254958
136461423.69728042836937.3027195716307
137472465.817339843096.18266015691006
138535476.83723883620358.162761163797
139622540.02443663690181.975563363099
140606627.288276332017-21.2882763320169
141508611.219759665506-103.219759665506
142461512.887545176178-51.8875451761777
143390465.720544261052-75.7205442610519
144432394.47683644750137.5231635524992

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 132 & 124 & 8 \tabularnewline
4 & 129 & 138.025748131203 & -9.02574813120316 \tabularnewline
5 & 121 & 134.996698612817 & -13.9966986128171 \tabularnewline
6 & 135 & 126.95165000878 & 8.04834999121971 \tabularnewline
7 & 148 & 140.977553755223 & 7.02244624477683 \tabularnewline
8 & 148 & 154.000155613633 & -6.00015561363287 \tabularnewline
9 & 136 & 153.980844014385 & -17.9808440143855 \tabularnewline
10 & 119 & 141.922972373032 & -22.9229723730322 \tabularnewline
11 & 104 & 124.849194410504 & -20.8491944105038 \tabularnewline
12 & 118 & 109.782090936359 & 8.2179090636415 \tabularnewline
13 & 115 & 123.808540411457 & -8.8085404114568 \tabularnewline
14 & 126 & 120.780189979679 & 5.21981002032103 \tabularnewline
15 & 141 & 131.796990023836 & 9.20300997616368 \tabularnewline
16 & 135 & 146.826610062378 & -11.8266100623776 \tabularnewline
17 & 125 & 140.788545923931 & -15.7885459239308 \tabularnewline
18 & 149 & 130.737730229936 & 18.2622697700638 \tabularnewline
19 & 170 & 154.7965076447 & 15.2034923553004 \tabularnewline
20 & 170 & 175.845440334188 & -5.84544033418842 \tabularnewline
21 & 158 & 175.826626688605 & -17.8266266886053 \tabularnewline
22 & 133 & 163.769251398244 & -30.7692513982443 \tabularnewline
23 & 114 & 138.670220057991 & -24.6702200579911 \tabularnewline
24 & 140 & 119.590818550133 & 20.4091814498669 \tabularnewline
25 & 145 & 145.656505835348 & -0.656505835348156 \tabularnewline
26 & 150 & 150.65439286055 & -0.654392860550132 \tabularnewline
27 & 178 & 155.652286686396 & 22.3477133136039 \tabularnewline
28 & 163 & 183.724213168207 & -20.7242131682073 \tabularnewline
29 & 172 & 168.65751194824 & 3.34248805175986 \tabularnewline
30 & 178 & 177.668269800853 & 0.331730199147131 \tabularnewline
31 & 199 & 183.669337479939 & 15.3306625200607 \tabularnewline
32 & 199 & 204.718679468689 & -5.71867946868909 \tabularnewline
33 & 184 & 204.70027380503 & -20.7002738050305 \tabularnewline
34 & 162 & 189.633649634296 & -27.6336496342963 \tabularnewline
35 & 146 & 167.544710279746 & -21.5447102797455 \tabularnewline
36 & 166 & 151.475368276368 & 14.5246317236316 \tabularnewline
37 & 171 & 171.522116041781 & -0.522116041780606 \tabularnewline
38 & 180 & 176.520435602737 & 3.47956439726278 \tabularnewline
39 & 193 & 185.531634637816 & 7.46836536218396 \tabularnewline
40 & 181 & 198.555671694218 & -17.5556716942184 \tabularnewline
41 & 183 & 186.499168476951 & -3.49916847695056 \tabularnewline
42 & 218 & 188.48790634582 & 29.5120936541803 \tabularnewline
43 & 230 & 223.582891503256 & 6.41710849674425 \tabularnewline
44 & 242 & 235.603545072196 & 6.39645492780434 \tabularnewline
45 & 209 & 247.624132167285 & -38.6241321672852 \tabularnewline
46 & 191 & 214.499819764454 & -23.4998197644537 \tabularnewline
47 & 172 & 196.424185209135 & -24.4241852091355 \tabularnewline
48 & 194 & 177.345575568474 & 16.6544244315265 \tabularnewline
49 & 196 & 199.399178106646 & -3.39917810664556 \tabularnewline
50 & 196 & 201.388237796161 & -5.38823779616146 \tabularnewline
51 & 236 & 201.370895664445 & 34.6291043355547 \tabularnewline
52 & 235 & 241.48235000468 & -6.48235000468028 \tabularnewline
53 & 229 & 240.461486454877 & -11.4614864548771 \tabularnewline
54 & 243 & 234.424597472749 & 8.57540252725082 \tabularnewline
55 & 264 & 248.452197546423 & 15.5478024535769 \tabularnewline
56 & 272 & 269.50223840361 & 2.49776159638992 \tabularnewline
57 & 237 & 277.510277490272 & -40.5102774902724 \tabularnewline
58 & 211 & 242.379894497785 & -31.3798944977853 \tabularnewline
59 & 180 & 216.278897792701 & -36.2788977927015 \tabularnewline
60 & 201 & 185.162133565167 & 15.8378664348326 \tabularnewline
61 & 204 & 206.213107998035 & -2.21310799803516 \tabularnewline
62 & 188 & 209.205985073648 & -21.2059850736476 \tabularnewline
63 & 235 & 193.137733262902 & 41.8622667370985 \tabularnewline
64 & 227 & 240.272467654953 & -13.2724676549527 \tabularnewline
65 & 234 & 232.229750000131 & 1.77024999986855 \tabularnewline
66 & 264 & 239.235447578789 & 24.7645524212112 \tabularnewline
67 & 302 & 269.315152696905 & 32.684847303095 \tabularnewline
68 & 293 & 307.420349413994 & -14.4203494139945 \tabularnewline
69 & 259 & 298.373937282906 & -39.3739372829061 \tabularnewline
70 & 229 & 264.247211620013 & -35.2472116200128 \tabularnewline
71 & 203 & 234.133767891346 & -31.1337678913456 \tabularnewline
72 & 229 & 208.033563348781 & 20.9664366512188 \tabularnewline
73 & 242 & 234.101044169001 & 7.89895583099903 \tabularnewline
74 & 233 & 247.126467087889 & -14.1264670878891 \tabularnewline
75 & 267 & 238.081000821887 & 28.918999178113 \tabularnewline
76 & 269 & 272.174077095025 & -3.17407709502481 \tabularnewline
77 & 270 & 274.163861275838 & -4.16386127583837 \tabularnewline
78 & 315 & 275.150459820033 & 39.8495401799669 \tabularnewline
79 & 364 & 320.278716218651 & 43.7212837813494 \tabularnewline
80 & 347 & 369.419433887547 & -22.4194338875473 \tabularnewline
81 & 312 & 352.347276571893 & -40.3472765718926 \tabularnewline
82 & 274 & 317.217418200535 & -43.2174182005346 \tabularnewline
83 & 237 & 279.078322231273 & -42.0783222312734 \tabularnewline
84 & 278 & 241.942892461071 & 36.0571075389291 \tabularnewline
85 & 284 & 283.058942853036 & 0.941057146964226 \tabularnewline
86 & 277 & 289.061971660897 & -12.061971660897 \tabularnewline
87 & 317 & 282.023150007285 & 34.9768499927147 \tabularnewline
88 & 313 & 322.135723572621 & -9.13572357262103 \tabularnewline
89 & 318 & 318.106320096473 & -0.106320096473098 \tabularnewline
90 & 374 & 323.105977903499 & 50.8940220965011 \tabularnewline
91 & 413 & 379.269781148299 & 33.7302188517014 \tabularnewline
92 & 405 & 418.378342410862 & -13.3783424108618 \tabularnewline
93 & 355 & 410.335283996402 & -55.3352839964023 \tabularnewline
94 & 306 & 360.157186477339 & -54.1571864773393 \tabularnewline
95 & 271 & 310.982880684463 & -39.9828806844627 \tabularnewline
96 & 306 & 275.854195127245 & 30.1458048727554 \tabularnewline
97 & 315 & 310.951219894631 & 4.0487801053693 \tabularnewline
98 & 301 & 319.964250959801 & -18.9642509598015 \tabularnewline
99 & 356 & 305.903214207066 & 50.0967857929339 \tabularnewline
100 & 348 & 361.064451533748 & -13.0644515337478 \tabularnewline
101 & 355 & 353.022403382224 & 1.97759661777576 \tabularnewline
102 & 422 & 360.028768309372 & 61.9712316906281 \tabularnewline
103 & 465 & 427.228223734921 & 37.771776265079 \tabularnewline
104 & 467 & 470.349792816302 & -3.34979281630223 \tabularnewline
105 & 404 & 472.339011453185 & -68.339011453185 \tabularnewline
106 & 347 & 409.119061224036 & -62.1190612240361 \tabularnewline
107 & 305 & 351.919130006709 & -46.9191300067093 \tabularnewline
108 & 336 & 309.76812001729 & 26.2318799827096 \tabularnewline
109 & 340 & 340.852547753228 & -0.852547753227952 \tabularnewline
110 & 318 & 344.849803814302 & -26.849803814302 \tabularnewline
111 & 362 & 322.763387280378 & 39.2366127196217 \tabularnewline
112 & 348 & 366.889670961912 & -18.8896709619124 \tabularnewline
113 & 363 & 352.828874246123 & 10.1711257538766 \tabularnewline
114 & 435 & 367.861610181173 & 67.1383898188272 \tabularnewline
115 & 491 & 440.077696189901 & 50.9223038100992 \tabularnewline
116 & 505 & 496.24159045986 & 8.75840954014035 \tabularnewline
117 & 404 & 510.269779544606 & -106.269779544606 \tabularnewline
118 & 359 & 408.927748516275 & -49.9277485162751 \tabularnewline
119 & 310 & 363.767055238841 & -53.7670552388406 \tabularnewline
120 & 337 & 314.594005089753 & 22.4059949102466 \tabularnewline
121 & 360 & 341.666119151839 & 18.3338808481608 \tabularnewline
122 & 342 & 364.725127048032 & -22.7251270480319 \tabularnewline
123 & 406 & 346.651985853927 & 59.3480141460732 \tabularnewline
124 & 396 & 410.842998410787 & -14.8429984107869 \tabularnewline
125 & 420 & 400.795225976971 & 19.2047740230293 \tabularnewline
126 & 472 & 424.85703685713 & 47.1429631428703 \tabularnewline
127 & 548 & 477.008767257168 & 70.9912327428317 \tabularnewline
128 & 559 & 553.237253704036 & 5.76274629596446 \tabularnewline
129 & 463 & 564.2558011975 & -101.2558011975 \tabularnewline
130 & 407 & 467.929907740711 & -60.9299077407109 \tabularnewline
131 & 362 & 411.733803833373 & -49.7338038333728 \tabularnewline
132 & 405 & 366.573734770081 & 38.426265229919 \tabularnewline
133 & 417 & 409.697410334929 & 7.30258966507051 \tabularnewline
134 & 391 & 421.720913839532 & -30.7209138395319 \tabularnewline
135 & 419 & 395.622038074504 & 23.3779619254958 \tabularnewline
136 & 461 & 423.697280428369 & 37.3027195716307 \tabularnewline
137 & 472 & 465.81733984309 & 6.18266015691006 \tabularnewline
138 & 535 & 476.837238836203 & 58.162761163797 \tabularnewline
139 & 622 & 540.024436636901 & 81.975563363099 \tabularnewline
140 & 606 & 627.288276332017 & -21.2882763320169 \tabularnewline
141 & 508 & 611.219759665506 & -103.219759665506 \tabularnewline
142 & 461 & 512.887545176178 & -51.8875451761777 \tabularnewline
143 & 390 & 465.720544261052 & -75.7205442610519 \tabularnewline
144 & 432 & 394.476836447501 & 37.5231635524992 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204056&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]3[/C][C]132[/C][C]124[/C][C]8[/C][/ROW]
[ROW][C]4[/C][C]129[/C][C]138.025748131203[/C][C]-9.02574813120316[/C][/ROW]
[ROW][C]5[/C][C]121[/C][C]134.996698612817[/C][C]-13.9966986128171[/C][/ROW]
[ROW][C]6[/C][C]135[/C][C]126.95165000878[/C][C]8.04834999121971[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]140.977553755223[/C][C]7.02244624477683[/C][/ROW]
[ROW][C]8[/C][C]148[/C][C]154.000155613633[/C][C]-6.00015561363287[/C][/ROW]
[ROW][C]9[/C][C]136[/C][C]153.980844014385[/C][C]-17.9808440143855[/C][/ROW]
[ROW][C]10[/C][C]119[/C][C]141.922972373032[/C][C]-22.9229723730322[/C][/ROW]
[ROW][C]11[/C][C]104[/C][C]124.849194410504[/C][C]-20.8491944105038[/C][/ROW]
[ROW][C]12[/C][C]118[/C][C]109.782090936359[/C][C]8.2179090636415[/C][/ROW]
[ROW][C]13[/C][C]115[/C][C]123.808540411457[/C][C]-8.8085404114568[/C][/ROW]
[ROW][C]14[/C][C]126[/C][C]120.780189979679[/C][C]5.21981002032103[/C][/ROW]
[ROW][C]15[/C][C]141[/C][C]131.796990023836[/C][C]9.20300997616368[/C][/ROW]
[ROW][C]16[/C][C]135[/C][C]146.826610062378[/C][C]-11.8266100623776[/C][/ROW]
[ROW][C]17[/C][C]125[/C][C]140.788545923931[/C][C]-15.7885459239308[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]130.737730229936[/C][C]18.2622697700638[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]154.7965076447[/C][C]15.2034923553004[/C][/ROW]
[ROW][C]20[/C][C]170[/C][C]175.845440334188[/C][C]-5.84544033418842[/C][/ROW]
[ROW][C]21[/C][C]158[/C][C]175.826626688605[/C][C]-17.8266266886053[/C][/ROW]
[ROW][C]22[/C][C]133[/C][C]163.769251398244[/C][C]-30.7692513982443[/C][/ROW]
[ROW][C]23[/C][C]114[/C][C]138.670220057991[/C][C]-24.6702200579911[/C][/ROW]
[ROW][C]24[/C][C]140[/C][C]119.590818550133[/C][C]20.4091814498669[/C][/ROW]
[ROW][C]25[/C][C]145[/C][C]145.656505835348[/C][C]-0.656505835348156[/C][/ROW]
[ROW][C]26[/C][C]150[/C][C]150.65439286055[/C][C]-0.654392860550132[/C][/ROW]
[ROW][C]27[/C][C]178[/C][C]155.652286686396[/C][C]22.3477133136039[/C][/ROW]
[ROW][C]28[/C][C]163[/C][C]183.724213168207[/C][C]-20.7242131682073[/C][/ROW]
[ROW][C]29[/C][C]172[/C][C]168.65751194824[/C][C]3.34248805175986[/C][/ROW]
[ROW][C]30[/C][C]178[/C][C]177.668269800853[/C][C]0.331730199147131[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]183.669337479939[/C][C]15.3306625200607[/C][/ROW]
[ROW][C]32[/C][C]199[/C][C]204.718679468689[/C][C]-5.71867946868909[/C][/ROW]
[ROW][C]33[/C][C]184[/C][C]204.70027380503[/C][C]-20.7002738050305[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]189.633649634296[/C][C]-27.6336496342963[/C][/ROW]
[ROW][C]35[/C][C]146[/C][C]167.544710279746[/C][C]-21.5447102797455[/C][/ROW]
[ROW][C]36[/C][C]166[/C][C]151.475368276368[/C][C]14.5246317236316[/C][/ROW]
[ROW][C]37[/C][C]171[/C][C]171.522116041781[/C][C]-0.522116041780606[/C][/ROW]
[ROW][C]38[/C][C]180[/C][C]176.520435602737[/C][C]3.47956439726278[/C][/ROW]
[ROW][C]39[/C][C]193[/C][C]185.531634637816[/C][C]7.46836536218396[/C][/ROW]
[ROW][C]40[/C][C]181[/C][C]198.555671694218[/C][C]-17.5556716942184[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]186.499168476951[/C][C]-3.49916847695056[/C][/ROW]
[ROW][C]42[/C][C]218[/C][C]188.48790634582[/C][C]29.5120936541803[/C][/ROW]
[ROW][C]43[/C][C]230[/C][C]223.582891503256[/C][C]6.41710849674425[/C][/ROW]
[ROW][C]44[/C][C]242[/C][C]235.603545072196[/C][C]6.39645492780434[/C][/ROW]
[ROW][C]45[/C][C]209[/C][C]247.624132167285[/C][C]-38.6241321672852[/C][/ROW]
[ROW][C]46[/C][C]191[/C][C]214.499819764454[/C][C]-23.4998197644537[/C][/ROW]
[ROW][C]47[/C][C]172[/C][C]196.424185209135[/C][C]-24.4241852091355[/C][/ROW]
[ROW][C]48[/C][C]194[/C][C]177.345575568474[/C][C]16.6544244315265[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]199.399178106646[/C][C]-3.39917810664556[/C][/ROW]
[ROW][C]50[/C][C]196[/C][C]201.388237796161[/C][C]-5.38823779616146[/C][/ROW]
[ROW][C]51[/C][C]236[/C][C]201.370895664445[/C][C]34.6291043355547[/C][/ROW]
[ROW][C]52[/C][C]235[/C][C]241.48235000468[/C][C]-6.48235000468028[/C][/ROW]
[ROW][C]53[/C][C]229[/C][C]240.461486454877[/C][C]-11.4614864548771[/C][/ROW]
[ROW][C]54[/C][C]243[/C][C]234.424597472749[/C][C]8.57540252725082[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]248.452197546423[/C][C]15.5478024535769[/C][/ROW]
[ROW][C]56[/C][C]272[/C][C]269.50223840361[/C][C]2.49776159638992[/C][/ROW]
[ROW][C]57[/C][C]237[/C][C]277.510277490272[/C][C]-40.5102774902724[/C][/ROW]
[ROW][C]58[/C][C]211[/C][C]242.379894497785[/C][C]-31.3798944977853[/C][/ROW]
[ROW][C]59[/C][C]180[/C][C]216.278897792701[/C][C]-36.2788977927015[/C][/ROW]
[ROW][C]60[/C][C]201[/C][C]185.162133565167[/C][C]15.8378664348326[/C][/ROW]
[ROW][C]61[/C][C]204[/C][C]206.213107998035[/C][C]-2.21310799803516[/C][/ROW]
[ROW][C]62[/C][C]188[/C][C]209.205985073648[/C][C]-21.2059850736476[/C][/ROW]
[ROW][C]63[/C][C]235[/C][C]193.137733262902[/C][C]41.8622667370985[/C][/ROW]
[ROW][C]64[/C][C]227[/C][C]240.272467654953[/C][C]-13.2724676549527[/C][/ROW]
[ROW][C]65[/C][C]234[/C][C]232.229750000131[/C][C]1.77024999986855[/C][/ROW]
[ROW][C]66[/C][C]264[/C][C]239.235447578789[/C][C]24.7645524212112[/C][/ROW]
[ROW][C]67[/C][C]302[/C][C]269.315152696905[/C][C]32.684847303095[/C][/ROW]
[ROW][C]68[/C][C]293[/C][C]307.420349413994[/C][C]-14.4203494139945[/C][/ROW]
[ROW][C]69[/C][C]259[/C][C]298.373937282906[/C][C]-39.3739372829061[/C][/ROW]
[ROW][C]70[/C][C]229[/C][C]264.247211620013[/C][C]-35.2472116200128[/C][/ROW]
[ROW][C]71[/C][C]203[/C][C]234.133767891346[/C][C]-31.1337678913456[/C][/ROW]
[ROW][C]72[/C][C]229[/C][C]208.033563348781[/C][C]20.9664366512188[/C][/ROW]
[ROW][C]73[/C][C]242[/C][C]234.101044169001[/C][C]7.89895583099903[/C][/ROW]
[ROW][C]74[/C][C]233[/C][C]247.126467087889[/C][C]-14.1264670878891[/C][/ROW]
[ROW][C]75[/C][C]267[/C][C]238.081000821887[/C][C]28.918999178113[/C][/ROW]
[ROW][C]76[/C][C]269[/C][C]272.174077095025[/C][C]-3.17407709502481[/C][/ROW]
[ROW][C]77[/C][C]270[/C][C]274.163861275838[/C][C]-4.16386127583837[/C][/ROW]
[ROW][C]78[/C][C]315[/C][C]275.150459820033[/C][C]39.8495401799669[/C][/ROW]
[ROW][C]79[/C][C]364[/C][C]320.278716218651[/C][C]43.7212837813494[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]369.419433887547[/C][C]-22.4194338875473[/C][/ROW]
[ROW][C]81[/C][C]312[/C][C]352.347276571893[/C][C]-40.3472765718926[/C][/ROW]
[ROW][C]82[/C][C]274[/C][C]317.217418200535[/C][C]-43.2174182005346[/C][/ROW]
[ROW][C]83[/C][C]237[/C][C]279.078322231273[/C][C]-42.0783222312734[/C][/ROW]
[ROW][C]84[/C][C]278[/C][C]241.942892461071[/C][C]36.0571075389291[/C][/ROW]
[ROW][C]85[/C][C]284[/C][C]283.058942853036[/C][C]0.941057146964226[/C][/ROW]
[ROW][C]86[/C][C]277[/C][C]289.061971660897[/C][C]-12.061971660897[/C][/ROW]
[ROW][C]87[/C][C]317[/C][C]282.023150007285[/C][C]34.9768499927147[/C][/ROW]
[ROW][C]88[/C][C]313[/C][C]322.135723572621[/C][C]-9.13572357262103[/C][/ROW]
[ROW][C]89[/C][C]318[/C][C]318.106320096473[/C][C]-0.106320096473098[/C][/ROW]
[ROW][C]90[/C][C]374[/C][C]323.105977903499[/C][C]50.8940220965011[/C][/ROW]
[ROW][C]91[/C][C]413[/C][C]379.269781148299[/C][C]33.7302188517014[/C][/ROW]
[ROW][C]92[/C][C]405[/C][C]418.378342410862[/C][C]-13.3783424108618[/C][/ROW]
[ROW][C]93[/C][C]355[/C][C]410.335283996402[/C][C]-55.3352839964023[/C][/ROW]
[ROW][C]94[/C][C]306[/C][C]360.157186477339[/C][C]-54.1571864773393[/C][/ROW]
[ROW][C]95[/C][C]271[/C][C]310.982880684463[/C][C]-39.9828806844627[/C][/ROW]
[ROW][C]96[/C][C]306[/C][C]275.854195127245[/C][C]30.1458048727554[/C][/ROW]
[ROW][C]97[/C][C]315[/C][C]310.951219894631[/C][C]4.0487801053693[/C][/ROW]
[ROW][C]98[/C][C]301[/C][C]319.964250959801[/C][C]-18.9642509598015[/C][/ROW]
[ROW][C]99[/C][C]356[/C][C]305.903214207066[/C][C]50.0967857929339[/C][/ROW]
[ROW][C]100[/C][C]348[/C][C]361.064451533748[/C][C]-13.0644515337478[/C][/ROW]
[ROW][C]101[/C][C]355[/C][C]353.022403382224[/C][C]1.97759661777576[/C][/ROW]
[ROW][C]102[/C][C]422[/C][C]360.028768309372[/C][C]61.9712316906281[/C][/ROW]
[ROW][C]103[/C][C]465[/C][C]427.228223734921[/C][C]37.771776265079[/C][/ROW]
[ROW][C]104[/C][C]467[/C][C]470.349792816302[/C][C]-3.34979281630223[/C][/ROW]
[ROW][C]105[/C][C]404[/C][C]472.339011453185[/C][C]-68.339011453185[/C][/ROW]
[ROW][C]106[/C][C]347[/C][C]409.119061224036[/C][C]-62.1190612240361[/C][/ROW]
[ROW][C]107[/C][C]305[/C][C]351.919130006709[/C][C]-46.9191300067093[/C][/ROW]
[ROW][C]108[/C][C]336[/C][C]309.76812001729[/C][C]26.2318799827096[/C][/ROW]
[ROW][C]109[/C][C]340[/C][C]340.852547753228[/C][C]-0.852547753227952[/C][/ROW]
[ROW][C]110[/C][C]318[/C][C]344.849803814302[/C][C]-26.849803814302[/C][/ROW]
[ROW][C]111[/C][C]362[/C][C]322.763387280378[/C][C]39.2366127196217[/C][/ROW]
[ROW][C]112[/C][C]348[/C][C]366.889670961912[/C][C]-18.8896709619124[/C][/ROW]
[ROW][C]113[/C][C]363[/C][C]352.828874246123[/C][C]10.1711257538766[/C][/ROW]
[ROW][C]114[/C][C]435[/C][C]367.861610181173[/C][C]67.1383898188272[/C][/ROW]
[ROW][C]115[/C][C]491[/C][C]440.077696189901[/C][C]50.9223038100992[/C][/ROW]
[ROW][C]116[/C][C]505[/C][C]496.24159045986[/C][C]8.75840954014035[/C][/ROW]
[ROW][C]117[/C][C]404[/C][C]510.269779544606[/C][C]-106.269779544606[/C][/ROW]
[ROW][C]118[/C][C]359[/C][C]408.927748516275[/C][C]-49.9277485162751[/C][/ROW]
[ROW][C]119[/C][C]310[/C][C]363.767055238841[/C][C]-53.7670552388406[/C][/ROW]
[ROW][C]120[/C][C]337[/C][C]314.594005089753[/C][C]22.4059949102466[/C][/ROW]
[ROW][C]121[/C][C]360[/C][C]341.666119151839[/C][C]18.3338808481608[/C][/ROW]
[ROW][C]122[/C][C]342[/C][C]364.725127048032[/C][C]-22.7251270480319[/C][/ROW]
[ROW][C]123[/C][C]406[/C][C]346.651985853927[/C][C]59.3480141460732[/C][/ROW]
[ROW][C]124[/C][C]396[/C][C]410.842998410787[/C][C]-14.8429984107869[/C][/ROW]
[ROW][C]125[/C][C]420[/C][C]400.795225976971[/C][C]19.2047740230293[/C][/ROW]
[ROW][C]126[/C][C]472[/C][C]424.85703685713[/C][C]47.1429631428703[/C][/ROW]
[ROW][C]127[/C][C]548[/C][C]477.008767257168[/C][C]70.9912327428317[/C][/ROW]
[ROW][C]128[/C][C]559[/C][C]553.237253704036[/C][C]5.76274629596446[/C][/ROW]
[ROW][C]129[/C][C]463[/C][C]564.2558011975[/C][C]-101.2558011975[/C][/ROW]
[ROW][C]130[/C][C]407[/C][C]467.929907740711[/C][C]-60.9299077407109[/C][/ROW]
[ROW][C]131[/C][C]362[/C][C]411.733803833373[/C][C]-49.7338038333728[/C][/ROW]
[ROW][C]132[/C][C]405[/C][C]366.573734770081[/C][C]38.426265229919[/C][/ROW]
[ROW][C]133[/C][C]417[/C][C]409.697410334929[/C][C]7.30258966507051[/C][/ROW]
[ROW][C]134[/C][C]391[/C][C]421.720913839532[/C][C]-30.7209138395319[/C][/ROW]
[ROW][C]135[/C][C]419[/C][C]395.622038074504[/C][C]23.3779619254958[/C][/ROW]
[ROW][C]136[/C][C]461[/C][C]423.697280428369[/C][C]37.3027195716307[/C][/ROW]
[ROW][C]137[/C][C]472[/C][C]465.81733984309[/C][C]6.18266015691006[/C][/ROW]
[ROW][C]138[/C][C]535[/C][C]476.837238836203[/C][C]58.162761163797[/C][/ROW]
[ROW][C]139[/C][C]622[/C][C]540.024436636901[/C][C]81.975563363099[/C][/ROW]
[ROW][C]140[/C][C]606[/C][C]627.288276332017[/C][C]-21.2882763320169[/C][/ROW]
[ROW][C]141[/C][C]508[/C][C]611.219759665506[/C][C]-103.219759665506[/C][/ROW]
[ROW][C]142[/C][C]461[/C][C]512.887545176178[/C][C]-51.8875451761777[/C][/ROW]
[ROW][C]143[/C][C]390[/C][C]465.720544261052[/C][C]-75.7205442610519[/C][/ROW]
[ROW][C]144[/C][C]432[/C][C]394.476836447501[/C][C]37.5231635524992[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204056&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204056&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
31321248
4129138.025748131203-9.02574813120316
5121134.996698612817-13.9966986128171
6135126.951650008788.04834999121971
7148140.9775537552237.02244624477683
8148154.000155613633-6.00015561363287
9136153.980844014385-17.9808440143855
10119141.922972373032-22.9229723730322
11104124.849194410504-20.8491944105038
12118109.7820909363598.2179090636415
13115123.808540411457-8.8085404114568
14126120.7801899796795.21981002032103
15141131.7969900238369.20300997616368
16135146.826610062378-11.8266100623776
17125140.788545923931-15.7885459239308
18149130.73773022993618.2622697700638
19170154.796507644715.2034923553004
20170175.845440334188-5.84544033418842
21158175.826626688605-17.8266266886053
22133163.769251398244-30.7692513982443
23114138.670220057991-24.6702200579911
24140119.59081855013320.4091814498669
25145145.656505835348-0.656505835348156
26150150.65439286055-0.654392860550132
27178155.65228668639622.3477133136039
28163183.724213168207-20.7242131682073
29172168.657511948243.34248805175986
30178177.6682698008530.331730199147131
31199183.66933747993915.3306625200607
32199204.718679468689-5.71867946868909
33184204.70027380503-20.7002738050305
34162189.633649634296-27.6336496342963
35146167.544710279746-21.5447102797455
36166151.47536827636814.5246317236316
37171171.522116041781-0.522116041780606
38180176.5204356027373.47956439726278
39193185.5316346378167.46836536218396
40181198.555671694218-17.5556716942184
41183186.499168476951-3.49916847695056
42218188.4879063458229.5120936541803
43230223.5828915032566.41710849674425
44242235.6035450721966.39645492780434
45209247.624132167285-38.6241321672852
46191214.499819764454-23.4998197644537
47172196.424185209135-24.4241852091355
48194177.34557556847416.6544244315265
49196199.399178106646-3.39917810664556
50196201.388237796161-5.38823779616146
51236201.37089566444534.6291043355547
52235241.48235000468-6.48235000468028
53229240.461486454877-11.4614864548771
54243234.4245974727498.57540252725082
55264248.45219754642315.5478024535769
56272269.502238403612.49776159638992
57237277.510277490272-40.5102774902724
58211242.379894497785-31.3798944977853
59180216.278897792701-36.2788977927015
60201185.16213356516715.8378664348326
61204206.213107998035-2.21310799803516
62188209.205985073648-21.2059850736476
63235193.13773326290241.8622667370985
64227240.272467654953-13.2724676549527
65234232.2297500001311.77024999986855
66264239.23544757878924.7645524212112
67302269.31515269690532.684847303095
68293307.420349413994-14.4203494139945
69259298.373937282906-39.3739372829061
70229264.247211620013-35.2472116200128
71203234.133767891346-31.1337678913456
72229208.03356334878120.9664366512188
73242234.1010441690017.89895583099903
74233247.126467087889-14.1264670878891
75267238.08100082188728.918999178113
76269272.174077095025-3.17407709502481
77270274.163861275838-4.16386127583837
78315275.15045982003339.8495401799669
79364320.27871621865143.7212837813494
80347369.419433887547-22.4194338875473
81312352.347276571893-40.3472765718926
82274317.217418200535-43.2174182005346
83237279.078322231273-42.0783222312734
84278241.94289246107136.0571075389291
85284283.0589428530360.941057146964226
86277289.061971660897-12.061971660897
87317282.02315000728534.9768499927147
88313322.135723572621-9.13572357262103
89318318.106320096473-0.106320096473098
90374323.10597790349950.8940220965011
91413379.26978114829933.7302188517014
92405418.378342410862-13.3783424108618
93355410.335283996402-55.3352839964023
94306360.157186477339-54.1571864773393
95271310.982880684463-39.9828806844627
96306275.85419512724530.1458048727554
97315310.9512198946314.0487801053693
98301319.964250959801-18.9642509598015
99356305.90321420706650.0967857929339
100348361.064451533748-13.0644515337478
101355353.0224033822241.97759661777576
102422360.02876830937261.9712316906281
103465427.22822373492137.771776265079
104467470.349792816302-3.34979281630223
105404472.339011453185-68.339011453185
106347409.119061224036-62.1190612240361
107305351.919130006709-46.9191300067093
108336309.7681200172926.2318799827096
109340340.852547753228-0.852547753227952
110318344.849803814302-26.849803814302
111362322.76338728037839.2366127196217
112348366.889670961912-18.8896709619124
113363352.82887424612310.1711257538766
114435367.86161018117367.1383898188272
115491440.07769618990150.9223038100992
116505496.241590459868.75840954014035
117404510.269779544606-106.269779544606
118359408.927748516275-49.9277485162751
119310363.767055238841-53.7670552388406
120337314.59400508975322.4059949102466
121360341.66611915183918.3338808481608
122342364.725127048032-22.7251270480319
123406346.65198585392759.3480141460732
124396410.842998410787-14.8429984107869
125420400.79522597697119.2047740230293
126472424.8570368571347.1429631428703
127548477.00876725716870.9912327428317
128559553.2372537040365.76274629596446
129463564.2558011975-101.2558011975
130407467.929907740711-60.9299077407109
131362411.733803833373-49.7338038333728
132405366.57373477008138.426265229919
133417409.6974103349297.30258966507051
134391421.720913839532-30.7209138395319
135419395.62203807450423.3779619254958
136461423.69728042836937.3027195716307
137472465.817339843096.18266015691006
138535476.83723883620358.162761163797
139622540.02443663690181.975563363099
140606627.288276332017-21.2882763320169
141508611.219759665506-103.219759665506
142461512.887545176178-51.8875451761777
143390465.720544261052-75.7205442610519
144432394.47683644750137.5231635524992







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145436.597605364789370.101864270587503.093346458991
146441.195210729578347.004576942856535.385844516301
147445.792816094368330.247728204287561.337903984449
148450.390421459157316.756029486476584.024813431838
149454.988026823946305.340383182678604.635670465215
150459.585632188735295.391970523466623.779293854005
151464.183237553525286.549721076488641.816754030561
152468.780842918314278.578761464602658.982924372025
153473.378448283103271.316212874989675.440683691217
154477.976053647892264.643676007995691.30843128779
155482.573659012682258.471913123628706.675404901735
156487.171264377471252.731706989412721.61082176553

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 436.597605364789 & 370.101864270587 & 503.093346458991 \tabularnewline
146 & 441.195210729578 & 347.004576942856 & 535.385844516301 \tabularnewline
147 & 445.792816094368 & 330.247728204287 & 561.337903984449 \tabularnewline
148 & 450.390421459157 & 316.756029486476 & 584.024813431838 \tabularnewline
149 & 454.988026823946 & 305.340383182678 & 604.635670465215 \tabularnewline
150 & 459.585632188735 & 295.391970523466 & 623.779293854005 \tabularnewline
151 & 464.183237553525 & 286.549721076488 & 641.816754030561 \tabularnewline
152 & 468.780842918314 & 278.578761464602 & 658.982924372025 \tabularnewline
153 & 473.378448283103 & 271.316212874989 & 675.440683691217 \tabularnewline
154 & 477.976053647892 & 264.643676007995 & 691.30843128779 \tabularnewline
155 & 482.573659012682 & 258.471913123628 & 706.675404901735 \tabularnewline
156 & 487.171264377471 & 252.731706989412 & 721.61082176553 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204056&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]436.597605364789[/C][C]370.101864270587[/C][C]503.093346458991[/C][/ROW]
[ROW][C]146[/C][C]441.195210729578[/C][C]347.004576942856[/C][C]535.385844516301[/C][/ROW]
[ROW][C]147[/C][C]445.792816094368[/C][C]330.247728204287[/C][C]561.337903984449[/C][/ROW]
[ROW][C]148[/C][C]450.390421459157[/C][C]316.756029486476[/C][C]584.024813431838[/C][/ROW]
[ROW][C]149[/C][C]454.988026823946[/C][C]305.340383182678[/C][C]604.635670465215[/C][/ROW]
[ROW][C]150[/C][C]459.585632188735[/C][C]295.391970523466[/C][C]623.779293854005[/C][/ROW]
[ROW][C]151[/C][C]464.183237553525[/C][C]286.549721076488[/C][C]641.816754030561[/C][/ROW]
[ROW][C]152[/C][C]468.780842918314[/C][C]278.578761464602[/C][C]658.982924372025[/C][/ROW]
[ROW][C]153[/C][C]473.378448283103[/C][C]271.316212874989[/C][C]675.440683691217[/C][/ROW]
[ROW][C]154[/C][C]477.976053647892[/C][C]264.643676007995[/C][C]691.30843128779[/C][/ROW]
[ROW][C]155[/C][C]482.573659012682[/C][C]258.471913123628[/C][C]706.675404901735[/C][/ROW]
[ROW][C]156[/C][C]487.171264377471[/C][C]252.731706989412[/C][C]721.61082176553[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204056&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204056&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
145436.597605364789370.101864270587503.093346458991
146441.195210729578347.004576942856535.385844516301
147445.792816094368330.247728204287561.337903984449
148450.390421459157316.756029486476584.024813431838
149454.988026823946305.340383182678604.635670465215
150459.585632188735295.391970523466623.779293854005
151464.183237553525286.549721076488641.816754030561
152468.780842918314278.578761464602658.982924372025
153473.378448283103271.316212874989675.440683691217
154477.976053647892264.643676007995691.30843128779
155482.573659012682258.471913123628706.675404901735
156487.171264377471252.731706989412721.61082176553



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