Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 12 Dec 2011 15:22:06 -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/Dec/12/t1323721343pk7j7lzlhxk4mtb.htm/, Retrieved Fri, 03 May 2024 08:16:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154204, Retrieved Fri, 03 May 2024 08:16:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2011-12-12 20:22:06] [9fcdc23b96f67ca1860b0ed8ec932927] [Current]
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Dataseries X:
112
128
132
129
122

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 time2 seconds
R Server'AstonUniversity' @ aston.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=154204&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]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=154204&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154204&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
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154204&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]0.999933893038648[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154204&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154204&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
212811216
3132127.9989422886184.00105771138163
4129131.999735502233-2.99973550223251
5122129.000198303399-7.00019830339892
6148122.00046276183925.9995372381613
7148147.9982812495970.00171875040337
8136147.999999886379-11.9999998863786
9119136.000793283529-17.0007932835287
10104119.001123870785-15.0011238707845
11118104.00099167871613.999008321284
12115117.999074568098-2.99907456809794
13126115.00019825970710.9998017402934
14141125.99927283653115.0007271634685
15135140.999008347509-5.99900834750915
16125135.000396576213-10.000396576213
17149125.0006610958323.99933890417
18170148.99841347663121.0015865233694
19170169.9986116489310.00138835106864121
20158169.99999990822-11.9999999082203
21133158.00079328353-25.0007932835302
22114133.001652726475-19.0016527264754
23140114.00125614152225.9987438584776
24145139.9982813020455.00171869795545
25150144.9996693515755.00033064842467
26178149.99966944333528.0003305566649
27163177.99814898323-14.99814898323
28172163.0009914820558.99900851794482
29178171.9994051028926.0005948971083
30199177.99960331890521.0003966810949
31199198.9986117275880.00138827241175932
32184198.999999908226-14.9999999082255
33162184.000991604414-22.0009916044142
34146162.001454418702-16.0014544187017
35166146.00105780752919.9989421924712
36171165.9986779307015.0013220692986
37180170.9996693777959.00033062220476
38193179.99940501549113.0005949845086
39181192.99914057017-11.9991405701698
40183181.0007932267221.99920677327808
41218182.99986783851535.0001321614849
42230217.99768624761612.0023137523841
43242229.99920656350912.0007934364914
44209241.999206664012-32.9992066640121
45191209.00218147728-18.0021814772796
46172191.001190069515-19.0011900695152
47194172.00125611093821.9987438890624
48196193.9985457298882.00145427011208
49196195.999867689940.000132310060081409
50236195.99999999125340.0000000087466
51235235.997355721545-0.997355721545347
52229235.000065932156-6.00006593215613
53243229.00039664612713.9996033538733
54264242.99907452876221.0009254712378
55272263.9986116926328.00138830736847
56237271.999471052532-34.9994710525324
57211237.00231370868-26.0023137086802
58180211.001718933947-31.0017189339474
59201180.00204942943520.9979505705646
60204200.9986118892933.00138811070684
61188203.999801587352-15.9998015873522
62235188.00105769826546.9989423017348
63227234.996893042738-7.99689304273767
64234227.0005286502996.99947134970068
65264233.99953728621830.000462713782
66302263.99801676057138.0019832394291
67293301.997487804363-8.99748780436272
68259293.000594796579-34.0005947965785
69229259.002247676006-30.0022476760062
70203229.001983357428-26.0019833574276
71229203.00171891210925.9982810878911
72242228.99828133263713.0017186673631
73233241.999140495887-8.99914049588654
74267233.00059490583333.999405094167
75269266.9977524026412.00224759735858
76270268.9998676374951.00013236250453
77315269.99993388428945.0000661157114
78364314.99702518236849.0029748176315
79347363.996760562238-16.9967605622376
80312347.001123604194-35.0011236041936
81274312.002313817925-38.0023138179254
82237274.002512217491-37.0025122174908
83278237.00244612364540.9975538763549
84284277.997289776296.00271022370964
85277283.999603179067-6.99960317906721
86317277.00046272249739.9995372775032
87313316.997355752135-3.99735575213509
88318313.0002642530424.99973574695781
89374317.99966948266256.0003305173378
90413373.99629798831539.0037020116852
91405412.997421583779-7.99742158377853
92355405.00052868524-50.0005286852395
93306355.003305383017-49.0033053830174
94271306.003239459615-35.0032394596151
95306271.00231395779834.9976860422018
96315305.9976864093219.00231359067863
97301314.999404884403-13.9994048844034
98356301.00092545811854.9990745418824
99348355.996364178305-7.99636417830487
100355348.0005286153386.99947138466229
101422354.99953728621667.0004627137843
102465421.99557080300143.0044291969992
103467464.9971571078612.00284289213886
104404466.999867598142-62.9998675981423
105347404.004164729812-57.0041647298125
106305347.003768372115-42.0037683721147
107336305.00277674149230.9972232585076
108340335.997950867764.00204913223996
109318339.999735436693-21.9997354366927
110362318.0014543356643.9985456643398
111348361.997091389842-13.9970913898422
112363348.0009253051814.9990746948205
113435362.99900845674972.0009915432512
114491434.99524023323556.0047597667652
115505490.99629769551114.0037023044894
116404504.999074257793-100.999074257793
117359404.006676741899-45.0066767418986
118310359.00297525464-49.00297525464
119337310.00323943779126.9967605622087
120360336.99821532619323.0017846738071
121342359.99847942191-17.9984794219096
122406342.00118982478463.9988101752165
123396405.995769233129-9.99576923312918
124420396.0006607899323.9993392100696
125472419.9984134766152.0015865233896
126548471.99656233312976.0034376668705
127559547.99497564368411.0050243563164
128463558.99927249128-95.9992724912802
129407463.006346220196-56.0063462201964
130362407.003702409365-45.003702409365
131405362.00297505801642.9970249419841
132417404.99715759733412.0028424026661
133391416.999206528561-25.9992065285612
134419391.00171872854127.9982812714588
135461418.99814911870242.0018508812979
136472460.99722338526711.0027766147329
137535471.99927263987263.0007273601285
138622534.99583521335187.0041647866487
139606621.994248419041-15.994248419041
140508606.001057331162-98.001057331162
141461508.006478552109-47.0064785521095
142390461.003107455461-71.0031074554609
143432390.0046937996841.9953062003196

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 128 & 112 & 16 \tabularnewline
3 & 132 & 127.998942288618 & 4.00105771138163 \tabularnewline
4 & 129 & 131.999735502233 & -2.99973550223251 \tabularnewline
5 & 122 & 129.000198303399 & -7.00019830339892 \tabularnewline
6 & 148 & 122.000462761839 & 25.9995372381613 \tabularnewline
7 & 148 & 147.998281249597 & 0.00171875040337 \tabularnewline
8 & 136 & 147.999999886379 & -11.9999998863786 \tabularnewline
9 & 119 & 136.000793283529 & -17.0007932835287 \tabularnewline
10 & 104 & 119.001123870785 & -15.0011238707845 \tabularnewline
11 & 118 & 104.000991678716 & 13.999008321284 \tabularnewline
12 & 115 & 117.999074568098 & -2.99907456809794 \tabularnewline
13 & 126 & 115.000198259707 & 10.9998017402934 \tabularnewline
14 & 141 & 125.999272836531 & 15.0007271634685 \tabularnewline
15 & 135 & 140.999008347509 & -5.99900834750915 \tabularnewline
16 & 125 & 135.000396576213 & -10.000396576213 \tabularnewline
17 & 149 & 125.00066109583 & 23.99933890417 \tabularnewline
18 & 170 & 148.998413476631 & 21.0015865233694 \tabularnewline
19 & 170 & 169.998611648931 & 0.00138835106864121 \tabularnewline
20 & 158 & 169.99999990822 & -11.9999999082203 \tabularnewline
21 & 133 & 158.00079328353 & -25.0007932835302 \tabularnewline
22 & 114 & 133.001652726475 & -19.0016527264754 \tabularnewline
23 & 140 & 114.001256141522 & 25.9987438584776 \tabularnewline
24 & 145 & 139.998281302045 & 5.00171869795545 \tabularnewline
25 & 150 & 144.999669351575 & 5.00033064842467 \tabularnewline
26 & 178 & 149.999669443335 & 28.0003305566649 \tabularnewline
27 & 163 & 177.99814898323 & -14.99814898323 \tabularnewline
28 & 172 & 163.000991482055 & 8.99900851794482 \tabularnewline
29 & 178 & 171.999405102892 & 6.0005948971083 \tabularnewline
30 & 199 & 177.999603318905 & 21.0003966810949 \tabularnewline
31 & 199 & 198.998611727588 & 0.00138827241175932 \tabularnewline
32 & 184 & 198.999999908226 & -14.9999999082255 \tabularnewline
33 & 162 & 184.000991604414 & -22.0009916044142 \tabularnewline
34 & 146 & 162.001454418702 & -16.0014544187017 \tabularnewline
35 & 166 & 146.001057807529 & 19.9989421924712 \tabularnewline
36 & 171 & 165.998677930701 & 5.0013220692986 \tabularnewline
37 & 180 & 170.999669377795 & 9.00033062220476 \tabularnewline
38 & 193 & 179.999405015491 & 13.0005949845086 \tabularnewline
39 & 181 & 192.99914057017 & -11.9991405701698 \tabularnewline
40 & 183 & 181.000793226722 & 1.99920677327808 \tabularnewline
41 & 218 & 182.999867838515 & 35.0001321614849 \tabularnewline
42 & 230 & 217.997686247616 & 12.0023137523841 \tabularnewline
43 & 242 & 229.999206563509 & 12.0007934364914 \tabularnewline
44 & 209 & 241.999206664012 & -32.9992066640121 \tabularnewline
45 & 191 & 209.00218147728 & -18.0021814772796 \tabularnewline
46 & 172 & 191.001190069515 & -19.0011900695152 \tabularnewline
47 & 194 & 172.001256110938 & 21.9987438890624 \tabularnewline
48 & 196 & 193.998545729888 & 2.00145427011208 \tabularnewline
49 & 196 & 195.99986768994 & 0.000132310060081409 \tabularnewline
50 & 236 & 195.999999991253 & 40.0000000087466 \tabularnewline
51 & 235 & 235.997355721545 & -0.997355721545347 \tabularnewline
52 & 229 & 235.000065932156 & -6.00006593215613 \tabularnewline
53 & 243 & 229.000396646127 & 13.9996033538733 \tabularnewline
54 & 264 & 242.999074528762 & 21.0009254712378 \tabularnewline
55 & 272 & 263.998611692632 & 8.00138830736847 \tabularnewline
56 & 237 & 271.999471052532 & -34.9994710525324 \tabularnewline
57 & 211 & 237.00231370868 & -26.0023137086802 \tabularnewline
58 & 180 & 211.001718933947 & -31.0017189339474 \tabularnewline
59 & 201 & 180.002049429435 & 20.9979505705646 \tabularnewline
60 & 204 & 200.998611889293 & 3.00138811070684 \tabularnewline
61 & 188 & 203.999801587352 & -15.9998015873522 \tabularnewline
62 & 235 & 188.001057698265 & 46.9989423017348 \tabularnewline
63 & 227 & 234.996893042738 & -7.99689304273767 \tabularnewline
64 & 234 & 227.000528650299 & 6.99947134970068 \tabularnewline
65 & 264 & 233.999537286218 & 30.000462713782 \tabularnewline
66 & 302 & 263.998016760571 & 38.0019832394291 \tabularnewline
67 & 293 & 301.997487804363 & -8.99748780436272 \tabularnewline
68 & 259 & 293.000594796579 & -34.0005947965785 \tabularnewline
69 & 229 & 259.002247676006 & -30.0022476760062 \tabularnewline
70 & 203 & 229.001983357428 & -26.0019833574276 \tabularnewline
71 & 229 & 203.001718912109 & 25.9982810878911 \tabularnewline
72 & 242 & 228.998281332637 & 13.0017186673631 \tabularnewline
73 & 233 & 241.999140495887 & -8.99914049588654 \tabularnewline
74 & 267 & 233.000594905833 & 33.999405094167 \tabularnewline
75 & 269 & 266.997752402641 & 2.00224759735858 \tabularnewline
76 & 270 & 268.999867637495 & 1.00013236250453 \tabularnewline
77 & 315 & 269.999933884289 & 45.0000661157114 \tabularnewline
78 & 364 & 314.997025182368 & 49.0029748176315 \tabularnewline
79 & 347 & 363.996760562238 & -16.9967605622376 \tabularnewline
80 & 312 & 347.001123604194 & -35.0011236041936 \tabularnewline
81 & 274 & 312.002313817925 & -38.0023138179254 \tabularnewline
82 & 237 & 274.002512217491 & -37.0025122174908 \tabularnewline
83 & 278 & 237.002446123645 & 40.9975538763549 \tabularnewline
84 & 284 & 277.99728977629 & 6.00271022370964 \tabularnewline
85 & 277 & 283.999603179067 & -6.99960317906721 \tabularnewline
86 & 317 & 277.000462722497 & 39.9995372775032 \tabularnewline
87 & 313 & 316.997355752135 & -3.99735575213509 \tabularnewline
88 & 318 & 313.000264253042 & 4.99973574695781 \tabularnewline
89 & 374 & 317.999669482662 & 56.0003305173378 \tabularnewline
90 & 413 & 373.996297988315 & 39.0037020116852 \tabularnewline
91 & 405 & 412.997421583779 & -7.99742158377853 \tabularnewline
92 & 355 & 405.00052868524 & -50.0005286852395 \tabularnewline
93 & 306 & 355.003305383017 & -49.0033053830174 \tabularnewline
94 & 271 & 306.003239459615 & -35.0032394596151 \tabularnewline
95 & 306 & 271.002313957798 & 34.9976860422018 \tabularnewline
96 & 315 & 305.997686409321 & 9.00231359067863 \tabularnewline
97 & 301 & 314.999404884403 & -13.9994048844034 \tabularnewline
98 & 356 & 301.000925458118 & 54.9990745418824 \tabularnewline
99 & 348 & 355.996364178305 & -7.99636417830487 \tabularnewline
100 & 355 & 348.000528615338 & 6.99947138466229 \tabularnewline
101 & 422 & 354.999537286216 & 67.0004627137843 \tabularnewline
102 & 465 & 421.995570803001 & 43.0044291969992 \tabularnewline
103 & 467 & 464.997157107861 & 2.00284289213886 \tabularnewline
104 & 404 & 466.999867598142 & -62.9998675981423 \tabularnewline
105 & 347 & 404.004164729812 & -57.0041647298125 \tabularnewline
106 & 305 & 347.003768372115 & -42.0037683721147 \tabularnewline
107 & 336 & 305.002776741492 & 30.9972232585076 \tabularnewline
108 & 340 & 335.99795086776 & 4.00204913223996 \tabularnewline
109 & 318 & 339.999735436693 & -21.9997354366927 \tabularnewline
110 & 362 & 318.00145433566 & 43.9985456643398 \tabularnewline
111 & 348 & 361.997091389842 & -13.9970913898422 \tabularnewline
112 & 363 & 348.00092530518 & 14.9990746948205 \tabularnewline
113 & 435 & 362.999008456749 & 72.0009915432512 \tabularnewline
114 & 491 & 434.995240233235 & 56.0047597667652 \tabularnewline
115 & 505 & 490.996297695511 & 14.0037023044894 \tabularnewline
116 & 404 & 504.999074257793 & -100.999074257793 \tabularnewline
117 & 359 & 404.006676741899 & -45.0066767418986 \tabularnewline
118 & 310 & 359.00297525464 & -49.00297525464 \tabularnewline
119 & 337 & 310.003239437791 & 26.9967605622087 \tabularnewline
120 & 360 & 336.998215326193 & 23.0017846738071 \tabularnewline
121 & 342 & 359.99847942191 & -17.9984794219096 \tabularnewline
122 & 406 & 342.001189824784 & 63.9988101752165 \tabularnewline
123 & 396 & 405.995769233129 & -9.99576923312918 \tabularnewline
124 & 420 & 396.00066078993 & 23.9993392100696 \tabularnewline
125 & 472 & 419.99841347661 & 52.0015865233896 \tabularnewline
126 & 548 & 471.996562333129 & 76.0034376668705 \tabularnewline
127 & 559 & 547.994975643684 & 11.0050243563164 \tabularnewline
128 & 463 & 558.99927249128 & -95.9992724912802 \tabularnewline
129 & 407 & 463.006346220196 & -56.0063462201964 \tabularnewline
130 & 362 & 407.003702409365 & -45.003702409365 \tabularnewline
131 & 405 & 362.002975058016 & 42.9970249419841 \tabularnewline
132 & 417 & 404.997157597334 & 12.0028424026661 \tabularnewline
133 & 391 & 416.999206528561 & -25.9992065285612 \tabularnewline
134 & 419 & 391.001718728541 & 27.9982812714588 \tabularnewline
135 & 461 & 418.998149118702 & 42.0018508812979 \tabularnewline
136 & 472 & 460.997223385267 & 11.0027766147329 \tabularnewline
137 & 535 & 471.999272639872 & 63.0007273601285 \tabularnewline
138 & 622 & 534.995835213351 & 87.0041647866487 \tabularnewline
139 & 606 & 621.994248419041 & -15.994248419041 \tabularnewline
140 & 508 & 606.001057331162 & -98.001057331162 \tabularnewline
141 & 461 & 508.006478552109 & -47.0064785521095 \tabularnewline
142 & 390 & 461.003107455461 & -71.0031074554609 \tabularnewline
143 & 432 & 390.00469379968 & 41.9953062003196 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154204&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]2[/C][C]128[/C][C]112[/C][C]16[/C][/ROW]
[ROW][C]3[/C][C]132[/C][C]127.998942288618[/C][C]4.00105771138163[/C][/ROW]
[ROW][C]4[/C][C]129[/C][C]131.999735502233[/C][C]-2.99973550223251[/C][/ROW]
[ROW][C]5[/C][C]122[/C][C]129.000198303399[/C][C]-7.00019830339892[/C][/ROW]
[ROW][C]6[/C][C]148[/C][C]122.000462761839[/C][C]25.9995372381613[/C][/ROW]
[ROW][C]7[/C][C]148[/C][C]147.998281249597[/C][C]0.00171875040337[/C][/ROW]
[ROW][C]8[/C][C]136[/C][C]147.999999886379[/C][C]-11.9999998863786[/C][/ROW]
[ROW][C]9[/C][C]119[/C][C]136.000793283529[/C][C]-17.0007932835287[/C][/ROW]
[ROW][C]10[/C][C]104[/C][C]119.001123870785[/C][C]-15.0011238707845[/C][/ROW]
[ROW][C]11[/C][C]118[/C][C]104.000991678716[/C][C]13.999008321284[/C][/ROW]
[ROW][C]12[/C][C]115[/C][C]117.999074568098[/C][C]-2.99907456809794[/C][/ROW]
[ROW][C]13[/C][C]126[/C][C]115.000198259707[/C][C]10.9998017402934[/C][/ROW]
[ROW][C]14[/C][C]141[/C][C]125.999272836531[/C][C]15.0007271634685[/C][/ROW]
[ROW][C]15[/C][C]135[/C][C]140.999008347509[/C][C]-5.99900834750915[/C][/ROW]
[ROW][C]16[/C][C]125[/C][C]135.000396576213[/C][C]-10.000396576213[/C][/ROW]
[ROW][C]17[/C][C]149[/C][C]125.00066109583[/C][C]23.99933890417[/C][/ROW]
[ROW][C]18[/C][C]170[/C][C]148.998413476631[/C][C]21.0015865233694[/C][/ROW]
[ROW][C]19[/C][C]170[/C][C]169.998611648931[/C][C]0.00138835106864121[/C][/ROW]
[ROW][C]20[/C][C]158[/C][C]169.99999990822[/C][C]-11.9999999082203[/C][/ROW]
[ROW][C]21[/C][C]133[/C][C]158.00079328353[/C][C]-25.0007932835302[/C][/ROW]
[ROW][C]22[/C][C]114[/C][C]133.001652726475[/C][C]-19.0016527264754[/C][/ROW]
[ROW][C]23[/C][C]140[/C][C]114.001256141522[/C][C]25.9987438584776[/C][/ROW]
[ROW][C]24[/C][C]145[/C][C]139.998281302045[/C][C]5.00171869795545[/C][/ROW]
[ROW][C]25[/C][C]150[/C][C]144.999669351575[/C][C]5.00033064842467[/C][/ROW]
[ROW][C]26[/C][C]178[/C][C]149.999669443335[/C][C]28.0003305566649[/C][/ROW]
[ROW][C]27[/C][C]163[/C][C]177.99814898323[/C][C]-14.99814898323[/C][/ROW]
[ROW][C]28[/C][C]172[/C][C]163.000991482055[/C][C]8.99900851794482[/C][/ROW]
[ROW][C]29[/C][C]178[/C][C]171.999405102892[/C][C]6.0005948971083[/C][/ROW]
[ROW][C]30[/C][C]199[/C][C]177.999603318905[/C][C]21.0003966810949[/C][/ROW]
[ROW][C]31[/C][C]199[/C][C]198.998611727588[/C][C]0.00138827241175932[/C][/ROW]
[ROW][C]32[/C][C]184[/C][C]198.999999908226[/C][C]-14.9999999082255[/C][/ROW]
[ROW][C]33[/C][C]162[/C][C]184.000991604414[/C][C]-22.0009916044142[/C][/ROW]
[ROW][C]34[/C][C]146[/C][C]162.001454418702[/C][C]-16.0014544187017[/C][/ROW]
[ROW][C]35[/C][C]166[/C][C]146.001057807529[/C][C]19.9989421924712[/C][/ROW]
[ROW][C]36[/C][C]171[/C][C]165.998677930701[/C][C]5.0013220692986[/C][/ROW]
[ROW][C]37[/C][C]180[/C][C]170.999669377795[/C][C]9.00033062220476[/C][/ROW]
[ROW][C]38[/C][C]193[/C][C]179.999405015491[/C][C]13.0005949845086[/C][/ROW]
[ROW][C]39[/C][C]181[/C][C]192.99914057017[/C][C]-11.9991405701698[/C][/ROW]
[ROW][C]40[/C][C]183[/C][C]181.000793226722[/C][C]1.99920677327808[/C][/ROW]
[ROW][C]41[/C][C]218[/C][C]182.999867838515[/C][C]35.0001321614849[/C][/ROW]
[ROW][C]42[/C][C]230[/C][C]217.997686247616[/C][C]12.0023137523841[/C][/ROW]
[ROW][C]43[/C][C]242[/C][C]229.999206563509[/C][C]12.0007934364914[/C][/ROW]
[ROW][C]44[/C][C]209[/C][C]241.999206664012[/C][C]-32.9992066640121[/C][/ROW]
[ROW][C]45[/C][C]191[/C][C]209.00218147728[/C][C]-18.0021814772796[/C][/ROW]
[ROW][C]46[/C][C]172[/C][C]191.001190069515[/C][C]-19.0011900695152[/C][/ROW]
[ROW][C]47[/C][C]194[/C][C]172.001256110938[/C][C]21.9987438890624[/C][/ROW]
[ROW][C]48[/C][C]196[/C][C]193.998545729888[/C][C]2.00145427011208[/C][/ROW]
[ROW][C]49[/C][C]196[/C][C]195.99986768994[/C][C]0.000132310060081409[/C][/ROW]
[ROW][C]50[/C][C]236[/C][C]195.999999991253[/C][C]40.0000000087466[/C][/ROW]
[ROW][C]51[/C][C]235[/C][C]235.997355721545[/C][C]-0.997355721545347[/C][/ROW]
[ROW][C]52[/C][C]229[/C][C]235.000065932156[/C][C]-6.00006593215613[/C][/ROW]
[ROW][C]53[/C][C]243[/C][C]229.000396646127[/C][C]13.9996033538733[/C][/ROW]
[ROW][C]54[/C][C]264[/C][C]242.999074528762[/C][C]21.0009254712378[/C][/ROW]
[ROW][C]55[/C][C]272[/C][C]263.998611692632[/C][C]8.00138830736847[/C][/ROW]
[ROW][C]56[/C][C]237[/C][C]271.999471052532[/C][C]-34.9994710525324[/C][/ROW]
[ROW][C]57[/C][C]211[/C][C]237.00231370868[/C][C]-26.0023137086802[/C][/ROW]
[ROW][C]58[/C][C]180[/C][C]211.001718933947[/C][C]-31.0017189339474[/C][/ROW]
[ROW][C]59[/C][C]201[/C][C]180.002049429435[/C][C]20.9979505705646[/C][/ROW]
[ROW][C]60[/C][C]204[/C][C]200.998611889293[/C][C]3.00138811070684[/C][/ROW]
[ROW][C]61[/C][C]188[/C][C]203.999801587352[/C][C]-15.9998015873522[/C][/ROW]
[ROW][C]62[/C][C]235[/C][C]188.001057698265[/C][C]46.9989423017348[/C][/ROW]
[ROW][C]63[/C][C]227[/C][C]234.996893042738[/C][C]-7.99689304273767[/C][/ROW]
[ROW][C]64[/C][C]234[/C][C]227.000528650299[/C][C]6.99947134970068[/C][/ROW]
[ROW][C]65[/C][C]264[/C][C]233.999537286218[/C][C]30.000462713782[/C][/ROW]
[ROW][C]66[/C][C]302[/C][C]263.998016760571[/C][C]38.0019832394291[/C][/ROW]
[ROW][C]67[/C][C]293[/C][C]301.997487804363[/C][C]-8.99748780436272[/C][/ROW]
[ROW][C]68[/C][C]259[/C][C]293.000594796579[/C][C]-34.0005947965785[/C][/ROW]
[ROW][C]69[/C][C]229[/C][C]259.002247676006[/C][C]-30.0022476760062[/C][/ROW]
[ROW][C]70[/C][C]203[/C][C]229.001983357428[/C][C]-26.0019833574276[/C][/ROW]
[ROW][C]71[/C][C]229[/C][C]203.001718912109[/C][C]25.9982810878911[/C][/ROW]
[ROW][C]72[/C][C]242[/C][C]228.998281332637[/C][C]13.0017186673631[/C][/ROW]
[ROW][C]73[/C][C]233[/C][C]241.999140495887[/C][C]-8.99914049588654[/C][/ROW]
[ROW][C]74[/C][C]267[/C][C]233.000594905833[/C][C]33.999405094167[/C][/ROW]
[ROW][C]75[/C][C]269[/C][C]266.997752402641[/C][C]2.00224759735858[/C][/ROW]
[ROW][C]76[/C][C]270[/C][C]268.999867637495[/C][C]1.00013236250453[/C][/ROW]
[ROW][C]77[/C][C]315[/C][C]269.999933884289[/C][C]45.0000661157114[/C][/ROW]
[ROW][C]78[/C][C]364[/C][C]314.997025182368[/C][C]49.0029748176315[/C][/ROW]
[ROW][C]79[/C][C]347[/C][C]363.996760562238[/C][C]-16.9967605622376[/C][/ROW]
[ROW][C]80[/C][C]312[/C][C]347.001123604194[/C][C]-35.0011236041936[/C][/ROW]
[ROW][C]81[/C][C]274[/C][C]312.002313817925[/C][C]-38.0023138179254[/C][/ROW]
[ROW][C]82[/C][C]237[/C][C]274.002512217491[/C][C]-37.0025122174908[/C][/ROW]
[ROW][C]83[/C][C]278[/C][C]237.002446123645[/C][C]40.9975538763549[/C][/ROW]
[ROW][C]84[/C][C]284[/C][C]277.99728977629[/C][C]6.00271022370964[/C][/ROW]
[ROW][C]85[/C][C]277[/C][C]283.999603179067[/C][C]-6.99960317906721[/C][/ROW]
[ROW][C]86[/C][C]317[/C][C]277.000462722497[/C][C]39.9995372775032[/C][/ROW]
[ROW][C]87[/C][C]313[/C][C]316.997355752135[/C][C]-3.99735575213509[/C][/ROW]
[ROW][C]88[/C][C]318[/C][C]313.000264253042[/C][C]4.99973574695781[/C][/ROW]
[ROW][C]89[/C][C]374[/C][C]317.999669482662[/C][C]56.0003305173378[/C][/ROW]
[ROW][C]90[/C][C]413[/C][C]373.996297988315[/C][C]39.0037020116852[/C][/ROW]
[ROW][C]91[/C][C]405[/C][C]412.997421583779[/C][C]-7.99742158377853[/C][/ROW]
[ROW][C]92[/C][C]355[/C][C]405.00052868524[/C][C]-50.0005286852395[/C][/ROW]
[ROW][C]93[/C][C]306[/C][C]355.003305383017[/C][C]-49.0033053830174[/C][/ROW]
[ROW][C]94[/C][C]271[/C][C]306.003239459615[/C][C]-35.0032394596151[/C][/ROW]
[ROW][C]95[/C][C]306[/C][C]271.002313957798[/C][C]34.9976860422018[/C][/ROW]
[ROW][C]96[/C][C]315[/C][C]305.997686409321[/C][C]9.00231359067863[/C][/ROW]
[ROW][C]97[/C][C]301[/C][C]314.999404884403[/C][C]-13.9994048844034[/C][/ROW]
[ROW][C]98[/C][C]356[/C][C]301.000925458118[/C][C]54.9990745418824[/C][/ROW]
[ROW][C]99[/C][C]348[/C][C]355.996364178305[/C][C]-7.99636417830487[/C][/ROW]
[ROW][C]100[/C][C]355[/C][C]348.000528615338[/C][C]6.99947138466229[/C][/ROW]
[ROW][C]101[/C][C]422[/C][C]354.999537286216[/C][C]67.0004627137843[/C][/ROW]
[ROW][C]102[/C][C]465[/C][C]421.995570803001[/C][C]43.0044291969992[/C][/ROW]
[ROW][C]103[/C][C]467[/C][C]464.997157107861[/C][C]2.00284289213886[/C][/ROW]
[ROW][C]104[/C][C]404[/C][C]466.999867598142[/C][C]-62.9998675981423[/C][/ROW]
[ROW][C]105[/C][C]347[/C][C]404.004164729812[/C][C]-57.0041647298125[/C][/ROW]
[ROW][C]106[/C][C]305[/C][C]347.003768372115[/C][C]-42.0037683721147[/C][/ROW]
[ROW][C]107[/C][C]336[/C][C]305.002776741492[/C][C]30.9972232585076[/C][/ROW]
[ROW][C]108[/C][C]340[/C][C]335.99795086776[/C][C]4.00204913223996[/C][/ROW]
[ROW][C]109[/C][C]318[/C][C]339.999735436693[/C][C]-21.9997354366927[/C][/ROW]
[ROW][C]110[/C][C]362[/C][C]318.00145433566[/C][C]43.9985456643398[/C][/ROW]
[ROW][C]111[/C][C]348[/C][C]361.997091389842[/C][C]-13.9970913898422[/C][/ROW]
[ROW][C]112[/C][C]363[/C][C]348.00092530518[/C][C]14.9990746948205[/C][/ROW]
[ROW][C]113[/C][C]435[/C][C]362.999008456749[/C][C]72.0009915432512[/C][/ROW]
[ROW][C]114[/C][C]491[/C][C]434.995240233235[/C][C]56.0047597667652[/C][/ROW]
[ROW][C]115[/C][C]505[/C][C]490.996297695511[/C][C]14.0037023044894[/C][/ROW]
[ROW][C]116[/C][C]404[/C][C]504.999074257793[/C][C]-100.999074257793[/C][/ROW]
[ROW][C]117[/C][C]359[/C][C]404.006676741899[/C][C]-45.0066767418986[/C][/ROW]
[ROW][C]118[/C][C]310[/C][C]359.00297525464[/C][C]-49.00297525464[/C][/ROW]
[ROW][C]119[/C][C]337[/C][C]310.003239437791[/C][C]26.9967605622087[/C][/ROW]
[ROW][C]120[/C][C]360[/C][C]336.998215326193[/C][C]23.0017846738071[/C][/ROW]
[ROW][C]121[/C][C]342[/C][C]359.99847942191[/C][C]-17.9984794219096[/C][/ROW]
[ROW][C]122[/C][C]406[/C][C]342.001189824784[/C][C]63.9988101752165[/C][/ROW]
[ROW][C]123[/C][C]396[/C][C]405.995769233129[/C][C]-9.99576923312918[/C][/ROW]
[ROW][C]124[/C][C]420[/C][C]396.00066078993[/C][C]23.9993392100696[/C][/ROW]
[ROW][C]125[/C][C]472[/C][C]419.99841347661[/C][C]52.0015865233896[/C][/ROW]
[ROW][C]126[/C][C]548[/C][C]471.996562333129[/C][C]76.0034376668705[/C][/ROW]
[ROW][C]127[/C][C]559[/C][C]547.994975643684[/C][C]11.0050243563164[/C][/ROW]
[ROW][C]128[/C][C]463[/C][C]558.99927249128[/C][C]-95.9992724912802[/C][/ROW]
[ROW][C]129[/C][C]407[/C][C]463.006346220196[/C][C]-56.0063462201964[/C][/ROW]
[ROW][C]130[/C][C]362[/C][C]407.003702409365[/C][C]-45.003702409365[/C][/ROW]
[ROW][C]131[/C][C]405[/C][C]362.002975058016[/C][C]42.9970249419841[/C][/ROW]
[ROW][C]132[/C][C]417[/C][C]404.997157597334[/C][C]12.0028424026661[/C][/ROW]
[ROW][C]133[/C][C]391[/C][C]416.999206528561[/C][C]-25.9992065285612[/C][/ROW]
[ROW][C]134[/C][C]419[/C][C]391.001718728541[/C][C]27.9982812714588[/C][/ROW]
[ROW][C]135[/C][C]461[/C][C]418.998149118702[/C][C]42.0018508812979[/C][/ROW]
[ROW][C]136[/C][C]472[/C][C]460.997223385267[/C][C]11.0027766147329[/C][/ROW]
[ROW][C]137[/C][C]535[/C][C]471.999272639872[/C][C]63.0007273601285[/C][/ROW]
[ROW][C]138[/C][C]622[/C][C]534.995835213351[/C][C]87.0041647866487[/C][/ROW]
[ROW][C]139[/C][C]606[/C][C]621.994248419041[/C][C]-15.994248419041[/C][/ROW]
[ROW][C]140[/C][C]508[/C][C]606.001057331162[/C][C]-98.001057331162[/C][/ROW]
[ROW][C]141[/C][C]461[/C][C]508.006478552109[/C][C]-47.0064785521095[/C][/ROW]
[ROW][C]142[/C][C]390[/C][C]461.003107455461[/C][C]-71.0031074554609[/C][/ROW]
[ROW][C]143[/C][C]432[/C][C]390.00469379968[/C][C]41.9953062003196[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154204&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154204&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
212811216
3132127.9989422886184.00105771138163
4129131.999735502233-2.99973550223251
5122129.000198303399-7.00019830339892
6148122.00046276183925.9995372381613
7148147.9982812495970.00171875040337
8136147.999999886379-11.9999998863786
9119136.000793283529-17.0007932835287
10104119.001123870785-15.0011238707845
11118104.00099167871613.999008321284
12115117.999074568098-2.99907456809794
13126115.00019825970710.9998017402934
14141125.99927283653115.0007271634685
15135140.999008347509-5.99900834750915
16125135.000396576213-10.000396576213
17149125.0006610958323.99933890417
18170148.99841347663121.0015865233694
19170169.9986116489310.00138835106864121
20158169.99999990822-11.9999999082203
21133158.00079328353-25.0007932835302
22114133.001652726475-19.0016527264754
23140114.00125614152225.9987438584776
24145139.9982813020455.00171869795545
25150144.9996693515755.00033064842467
26178149.99966944333528.0003305566649
27163177.99814898323-14.99814898323
28172163.0009914820558.99900851794482
29178171.9994051028926.0005948971083
30199177.99960331890521.0003966810949
31199198.9986117275880.00138827241175932
32184198.999999908226-14.9999999082255
33162184.000991604414-22.0009916044142
34146162.001454418702-16.0014544187017
35166146.00105780752919.9989421924712
36171165.9986779307015.0013220692986
37180170.9996693777959.00033062220476
38193179.99940501549113.0005949845086
39181192.99914057017-11.9991405701698
40183181.0007932267221.99920677327808
41218182.99986783851535.0001321614849
42230217.99768624761612.0023137523841
43242229.99920656350912.0007934364914
44209241.999206664012-32.9992066640121
45191209.00218147728-18.0021814772796
46172191.001190069515-19.0011900695152
47194172.00125611093821.9987438890624
48196193.9985457298882.00145427011208
49196195.999867689940.000132310060081409
50236195.99999999125340.0000000087466
51235235.997355721545-0.997355721545347
52229235.000065932156-6.00006593215613
53243229.00039664612713.9996033538733
54264242.99907452876221.0009254712378
55272263.9986116926328.00138830736847
56237271.999471052532-34.9994710525324
57211237.00231370868-26.0023137086802
58180211.001718933947-31.0017189339474
59201180.00204942943520.9979505705646
60204200.9986118892933.00138811070684
61188203.999801587352-15.9998015873522
62235188.00105769826546.9989423017348
63227234.996893042738-7.99689304273767
64234227.0005286502996.99947134970068
65264233.99953728621830.000462713782
66302263.99801676057138.0019832394291
67293301.997487804363-8.99748780436272
68259293.000594796579-34.0005947965785
69229259.002247676006-30.0022476760062
70203229.001983357428-26.0019833574276
71229203.00171891210925.9982810878911
72242228.99828133263713.0017186673631
73233241.999140495887-8.99914049588654
74267233.00059490583333.999405094167
75269266.9977524026412.00224759735858
76270268.9998676374951.00013236250453
77315269.99993388428945.0000661157114
78364314.99702518236849.0029748176315
79347363.996760562238-16.9967605622376
80312347.001123604194-35.0011236041936
81274312.002313817925-38.0023138179254
82237274.002512217491-37.0025122174908
83278237.00244612364540.9975538763549
84284277.997289776296.00271022370964
85277283.999603179067-6.99960317906721
86317277.00046272249739.9995372775032
87313316.997355752135-3.99735575213509
88318313.0002642530424.99973574695781
89374317.99966948266256.0003305173378
90413373.99629798831539.0037020116852
91405412.997421583779-7.99742158377853
92355405.00052868524-50.0005286852395
93306355.003305383017-49.0033053830174
94271306.003239459615-35.0032394596151
95306271.00231395779834.9976860422018
96315305.9976864093219.00231359067863
97301314.999404884403-13.9994048844034
98356301.00092545811854.9990745418824
99348355.996364178305-7.99636417830487
100355348.0005286153386.99947138466229
101422354.99953728621667.0004627137843
102465421.99557080300143.0044291969992
103467464.9971571078612.00284289213886
104404466.999867598142-62.9998675981423
105347404.004164729812-57.0041647298125
106305347.003768372115-42.0037683721147
107336305.00277674149230.9972232585076
108340335.997950867764.00204913223996
109318339.999735436693-21.9997354366927
110362318.0014543356643.9985456643398
111348361.997091389842-13.9970913898422
112363348.0009253051814.9990746948205
113435362.99900845674972.0009915432512
114491434.99524023323556.0047597667652
115505490.99629769551114.0037023044894
116404504.999074257793-100.999074257793
117359404.006676741899-45.0066767418986
118310359.00297525464-49.00297525464
119337310.00323943779126.9967605622087
120360336.99821532619323.0017846738071
121342359.99847942191-17.9984794219096
122406342.00118982478463.9988101752165
123396405.995769233129-9.99576923312918
124420396.0006607899323.9993392100696
125472419.9984134766152.0015865233896
126548471.99656233312976.0034376668705
127559547.99497564368411.0050243563164
128463558.99927249128-95.9992724912802
129407463.006346220196-56.0063462201964
130362407.003702409365-45.003702409365
131405362.00297505801642.9970249419841
132417404.99715759733412.0028424026661
133391416.999206528561-25.9992065285612
134419391.00171872854127.9982812714588
135461418.99814911870242.0018508812979
136472460.99722338526711.0027766147329
137535471.99927263987263.0007273601285
138622534.99583521335187.0041647866487
139606621.994248419041-15.994248419041
140508606.001057331162-98.001057331162
141461508.006478552109-47.0064785521095
142390461.003107455461-71.0031074554609
143432390.0046937996841.9953062003196







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
144431.997223817916365.536670126163498.457777509669
145431.997223817916338.010914050227525.983533585605
146431.997223817916316.889241251625547.105206384207
147431.997223817916299.082706637831564.911740998001
148431.997223817916283.394767230049580.599680405783
149431.997223817916269.211747405914594.782700229918
150431.997223817916256.16909024022607.825357395612
151431.997223817916244.029264356338619.965183279494
152431.997223817916232.627278713637631.367168922195
153431.997223817916221.843003689895642.151443945937
154431.997223817916211.58575074006652.408696895772
155431.997223817916201.785063645861662.209383989971

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
144 & 431.997223817916 & 365.536670126163 & 498.457777509669 \tabularnewline
145 & 431.997223817916 & 338.010914050227 & 525.983533585605 \tabularnewline
146 & 431.997223817916 & 316.889241251625 & 547.105206384207 \tabularnewline
147 & 431.997223817916 & 299.082706637831 & 564.911740998001 \tabularnewline
148 & 431.997223817916 & 283.394767230049 & 580.599680405783 \tabularnewline
149 & 431.997223817916 & 269.211747405914 & 594.782700229918 \tabularnewline
150 & 431.997223817916 & 256.16909024022 & 607.825357395612 \tabularnewline
151 & 431.997223817916 & 244.029264356338 & 619.965183279494 \tabularnewline
152 & 431.997223817916 & 232.627278713637 & 631.367168922195 \tabularnewline
153 & 431.997223817916 & 221.843003689895 & 642.151443945937 \tabularnewline
154 & 431.997223817916 & 211.58575074006 & 652.408696895772 \tabularnewline
155 & 431.997223817916 & 201.785063645861 & 662.209383989971 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154204&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]144[/C][C]431.997223817916[/C][C]365.536670126163[/C][C]498.457777509669[/C][/ROW]
[ROW][C]145[/C][C]431.997223817916[/C][C]338.010914050227[/C][C]525.983533585605[/C][/ROW]
[ROW][C]146[/C][C]431.997223817916[/C][C]316.889241251625[/C][C]547.105206384207[/C][/ROW]
[ROW][C]147[/C][C]431.997223817916[/C][C]299.082706637831[/C][C]564.911740998001[/C][/ROW]
[ROW][C]148[/C][C]431.997223817916[/C][C]283.394767230049[/C][C]580.599680405783[/C][/ROW]
[ROW][C]149[/C][C]431.997223817916[/C][C]269.211747405914[/C][C]594.782700229918[/C][/ROW]
[ROW][C]150[/C][C]431.997223817916[/C][C]256.16909024022[/C][C]607.825357395612[/C][/ROW]
[ROW][C]151[/C][C]431.997223817916[/C][C]244.029264356338[/C][C]619.965183279494[/C][/ROW]
[ROW][C]152[/C][C]431.997223817916[/C][C]232.627278713637[/C][C]631.367168922195[/C][/ROW]
[ROW][C]153[/C][C]431.997223817916[/C][C]221.843003689895[/C][C]642.151443945937[/C][/ROW]
[ROW][C]154[/C][C]431.997223817916[/C][C]211.58575074006[/C][C]652.408696895772[/C][/ROW]
[ROW][C]155[/C][C]431.997223817916[/C][C]201.785063645861[/C][C]662.209383989971[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154204&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154204&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
144431.997223817916365.536670126163498.457777509669
145431.997223817916338.010914050227525.983533585605
146431.997223817916316.889241251625547.105206384207
147431.997223817916299.082706637831564.911740998001
148431.997223817916283.394767230049580.599680405783
149431.997223817916269.211747405914594.782700229918
150431.997223817916256.16909024022607.825357395612
151431.997223817916244.029264356338619.965183279494
152431.997223817916232.627278713637631.367168922195
153431.997223817916221.843003689895642.151443945937
154431.997223817916211.58575074006652.408696895772
155431.997223817916201.785063645861662.209383989971



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