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, 14 Dec 2015 13:06:06 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/14/t1450098376zp0cz26se6ed6vm.htm/, Retrieved Thu, 16 May 2024 08:43:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286293, Retrieved Thu, 16 May 2024 08:43:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-12-14 13:06:06] [d108c84c57c191267df4a6d3f43a776a] [Current]
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Dataseries X:
529
567
747
719
707
728
758
746
725
725
555
526
612
570
597
666
677
651
736
757
708
601
569
526
538
525
668
692
762
693
775
843
578
708
434
489
528
505
576
805
895
707
803
834
645
745
637
588
429
552
598
735
831
720
691
670
649
586
559
374
442
396
555
707
616
473
289
183
204
183
140
201
203
201
290
256
169
174
192
170
169
170
124
152
163
114
208
176
191
230
258
356
375
339
291
150
187
163
162
206
168
138
183
128
148
133
103
122
123
140
157
149
171
139
169
172
162
138
124
140
128
112
154
159
176
245
168
242
246
138
199
232
198
219
243
218
203
211
267
233
223
211
267
248
244
265
268
242
244
276
371




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286293&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286293&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286293&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.902163803704525
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.902163803704525 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286293&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]0.902163803704525[/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=286293&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286293&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
alpha0.902163803704525
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
256752938
3747563.282224540772183.717775459228
4719729.025751657203-10.0257516572028
5707719.980881407144-12.9808814071438
6728708.27000006143819.7299999385624
7758726.06969185310131.9303081468989
8746754.876060104365-8.87606010436502
9725746.868399958701-21.868399958701
10725727.139521071027-2.13952107102739
11555725.209322603483-170.209322603483
12526571.652632697554-45.6526326975543
13612530.46647993400381.5335200659969
14570604.023070526162-34.0230705261621
15597573.32868780657223.6713121934275
16666594.68408885367271.3159111463276
17677659.02272251809717.9772774819029
18651675.241171551422-24.2411715514223
19736653.37166401833782.6283359816628
20757727.9159579013329.0840420986705
21708754.154527948169-46.1545279481686
22601712.515583456262-111.515583456262
23569611.910260513031-42.9102605130314
24526573.198176670643-47.198176670643
25538530.6176900775387.38230992246247
26525537.277742877312-12.277742877312
27668526.20120766221141.79879233779
28692654.12694551837937.8730544816215
29762688.29464440742773.7053555925731
30693754.788948362217-61.7889483622172
31775699.04519568085775.9548043191431
32843767.56887085504875.4311291449521
33578835.620105242185-257.620105242185
34708603.204571186135104.795428813865
35434697.747213855698-263.747213855698
36489459.80402418717129.1959758128291
37528486.14357677933841.8564232206619
38505523.904926761557-18.9049267615568
39576506.84958612559569.1504138744048
40805569.23458653427235.76541346573
41895781.933608728483113.066391271517
42707883.938014349139-176.938014349139
43803724.31094230399478.689057696006
44834795.30136190494838.6986380950524
45645830.213872446965-185.213872446965
46745663.12062078136681.8793792186336
47637736.989232982214-99.989232982214
48588646.782566225482-58.782566225482
49429593.751062687988-164.751062687988
50552445.11861730903106.88138269097
51598541.54313206271456.4568679372856
52735592.47647478626142.52352521374
53831721.056040410465109.943959589535
54720820.243501188097-100.243501188097
55691729.807442859584-38.8074428595843
56670694.796772597336-24.7967725973357
57649672.426021911327-23.4260219113271
58586651.291912878139-65.2919128781386
59559592.387912404853-33.3879124048527
60374562.266546351937-188.266546351937
61442392.41928278475949.5807172152406
62396437.149211218059-41.1492112180593
63555400.025882306134154.974117693866
64707539.837921800585167.162078199415
65616690.645498104122-74.6454981041223
66473623.303031605089-150.303031605089
67289487.70507690392-198.70507690392
68183308.44054890888-125.44054890888
69204195.2726261664618.72737383353868
70183203.146146940478-20.1461469404779
71140184.971022386666-44.9710223866661
72201144.3997937738356.6002062261699
73203195.4624511132927.53754888670795
74201202.262554887533-1.2625548875333
75290201.12352356781188.8764764321895
76256281.30466360573-25.3046636057301
77169258.475712035721-89.4757120357212
78174177.753963326404-3.75396332640423
79192174.36727349288817.6327265071119
80170190.274881108226-20.2748811082258
81169171.983617247972-2.98361724797178
82170169.2919057627430.708094237256887
83124169.930722753208-45.930722753208
84152128.49368720727623.5063127927241
85163149.70023176742813.2997682325718
86114161.698801264514-47.6988012645138
87208118.66666928357489.3333307164262
88176199.259966720299-23.2599667202991
89191178.27566666987312.7243333301266
90230189.75509962658540.2449003734153
91258226.06259202717531.9374079728253
92356254.875365484402101.124634515598
93375346.10635040722428.8936495927763
94339372.173155226748-33.1731552267485
95291342.245535326504-51.2455353265044
96150296.013668253471-146.013668253471
97187164.28542190906922.714578090931
98163184.777692079127-21.7776920791268
99162165.130646557116-3.13064655711585
100206162.30629055109443.6937094489063
101168201.725173665479-33.7251736654793
102138171.299542710835-33.2995427108348
103183141.25790059720741.7420994027932
104128178.916111769043-50.9161117690431
105148132.98143870563815.0185612943615
106133146.530641089129-13.5306410891292
107103134.3237864576-31.3237864575997
108122106.06460012058315.9353998794167
109123120.440941089352.55905891064951
110140122.74963141008617.250368589914
111157138.31228955246818.6877104475321
112149155.171665492342-6.17166549234224
113171149.60381227657921.3961877234212
114139168.906678377917-29.9066783779165
115169141.92595565632727.0740443436725
116172166.351178483085.64882151691995
117162171.447340789232-9.4473407892325
118138162.924291887926-24.9242918879256
119124140.438497913673-16.4384979136728
120140125.60828010868514.3917198913151
121128138.591968867684-10.5919688676838
122112129.036277945294-17.0362779452943
123154113.666764633240.3332353667999
124159150.0539496674228.94605033257784
125176158.12475246359317.8752475364073
126245174.25115377319870.7488462268022
127168238.078201992876-70.0782019928762
128242174.85618472620967.143815273791
129246235.43090450884610.5690954911538
130138244.965959898862-106.965959898862
131199148.46514264959950.534857350401
132232194.05586177650237.9441382234977
133198228.287689844503-30.2876898445032
134219200.96323236896318.0367676310367
135243217.23535126151425.764648738486
136218240.479284768537-22.4792847685375
137203220.199287717197-17.1992877171965
138211204.6827128892426.317287110758
139267210.38194065817756.618059341823
140233261.460704432365-28.4607044323645
141223235.784487065552-12.7844870655523
142211224.250785586082-13.2507855860824
143267212.29640645966954.7035935403308
144248261.64800848432-13.6480084843203
145244249.335269237114-5.33526923711426
146265244.52198244837220.4780175516285
147268262.9965086550775.0034913449233
148242267.510477438615-25.5104774386154
149244244.495848078276-0.495848078275657
150276244.04851188991931.9514881100811
151371272.8739879373398.1260120626704

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 567 & 529 & 38 \tabularnewline
3 & 747 & 563.282224540772 & 183.717775459228 \tabularnewline
4 & 719 & 729.025751657203 & -10.0257516572028 \tabularnewline
5 & 707 & 719.980881407144 & -12.9808814071438 \tabularnewline
6 & 728 & 708.270000061438 & 19.7299999385624 \tabularnewline
7 & 758 & 726.069691853101 & 31.9303081468989 \tabularnewline
8 & 746 & 754.876060104365 & -8.87606010436502 \tabularnewline
9 & 725 & 746.868399958701 & -21.868399958701 \tabularnewline
10 & 725 & 727.139521071027 & -2.13952107102739 \tabularnewline
11 & 555 & 725.209322603483 & -170.209322603483 \tabularnewline
12 & 526 & 571.652632697554 & -45.6526326975543 \tabularnewline
13 & 612 & 530.466479934003 & 81.5335200659969 \tabularnewline
14 & 570 & 604.023070526162 & -34.0230705261621 \tabularnewline
15 & 597 & 573.328687806572 & 23.6713121934275 \tabularnewline
16 & 666 & 594.684088853672 & 71.3159111463276 \tabularnewline
17 & 677 & 659.022722518097 & 17.9772774819029 \tabularnewline
18 & 651 & 675.241171551422 & -24.2411715514223 \tabularnewline
19 & 736 & 653.371664018337 & 82.6283359816628 \tabularnewline
20 & 757 & 727.91595790133 & 29.0840420986705 \tabularnewline
21 & 708 & 754.154527948169 & -46.1545279481686 \tabularnewline
22 & 601 & 712.515583456262 & -111.515583456262 \tabularnewline
23 & 569 & 611.910260513031 & -42.9102605130314 \tabularnewline
24 & 526 & 573.198176670643 & -47.198176670643 \tabularnewline
25 & 538 & 530.617690077538 & 7.38230992246247 \tabularnewline
26 & 525 & 537.277742877312 & -12.277742877312 \tabularnewline
27 & 668 & 526.20120766221 & 141.79879233779 \tabularnewline
28 & 692 & 654.126945518379 & 37.8730544816215 \tabularnewline
29 & 762 & 688.294644407427 & 73.7053555925731 \tabularnewline
30 & 693 & 754.788948362217 & -61.7889483622172 \tabularnewline
31 & 775 & 699.045195680857 & 75.9548043191431 \tabularnewline
32 & 843 & 767.568870855048 & 75.4311291449521 \tabularnewline
33 & 578 & 835.620105242185 & -257.620105242185 \tabularnewline
34 & 708 & 603.204571186135 & 104.795428813865 \tabularnewline
35 & 434 & 697.747213855698 & -263.747213855698 \tabularnewline
36 & 489 & 459.804024187171 & 29.1959758128291 \tabularnewline
37 & 528 & 486.143576779338 & 41.8564232206619 \tabularnewline
38 & 505 & 523.904926761557 & -18.9049267615568 \tabularnewline
39 & 576 & 506.849586125595 & 69.1504138744048 \tabularnewline
40 & 805 & 569.23458653427 & 235.76541346573 \tabularnewline
41 & 895 & 781.933608728483 & 113.066391271517 \tabularnewline
42 & 707 & 883.938014349139 & -176.938014349139 \tabularnewline
43 & 803 & 724.310942303994 & 78.689057696006 \tabularnewline
44 & 834 & 795.301361904948 & 38.6986380950524 \tabularnewline
45 & 645 & 830.213872446965 & -185.213872446965 \tabularnewline
46 & 745 & 663.120620781366 & 81.8793792186336 \tabularnewline
47 & 637 & 736.989232982214 & -99.989232982214 \tabularnewline
48 & 588 & 646.782566225482 & -58.782566225482 \tabularnewline
49 & 429 & 593.751062687988 & -164.751062687988 \tabularnewline
50 & 552 & 445.11861730903 & 106.88138269097 \tabularnewline
51 & 598 & 541.543132062714 & 56.4568679372856 \tabularnewline
52 & 735 & 592.47647478626 & 142.52352521374 \tabularnewline
53 & 831 & 721.056040410465 & 109.943959589535 \tabularnewline
54 & 720 & 820.243501188097 & -100.243501188097 \tabularnewline
55 & 691 & 729.807442859584 & -38.8074428595843 \tabularnewline
56 & 670 & 694.796772597336 & -24.7967725973357 \tabularnewline
57 & 649 & 672.426021911327 & -23.4260219113271 \tabularnewline
58 & 586 & 651.291912878139 & -65.2919128781386 \tabularnewline
59 & 559 & 592.387912404853 & -33.3879124048527 \tabularnewline
60 & 374 & 562.266546351937 & -188.266546351937 \tabularnewline
61 & 442 & 392.419282784759 & 49.5807172152406 \tabularnewline
62 & 396 & 437.149211218059 & -41.1492112180593 \tabularnewline
63 & 555 & 400.025882306134 & 154.974117693866 \tabularnewline
64 & 707 & 539.837921800585 & 167.162078199415 \tabularnewline
65 & 616 & 690.645498104122 & -74.6454981041223 \tabularnewline
66 & 473 & 623.303031605089 & -150.303031605089 \tabularnewline
67 & 289 & 487.70507690392 & -198.70507690392 \tabularnewline
68 & 183 & 308.44054890888 & -125.44054890888 \tabularnewline
69 & 204 & 195.272626166461 & 8.72737383353868 \tabularnewline
70 & 183 & 203.146146940478 & -20.1461469404779 \tabularnewline
71 & 140 & 184.971022386666 & -44.9710223866661 \tabularnewline
72 & 201 & 144.39979377383 & 56.6002062261699 \tabularnewline
73 & 203 & 195.462451113292 & 7.53754888670795 \tabularnewline
74 & 201 & 202.262554887533 & -1.2625548875333 \tabularnewline
75 & 290 & 201.123523567811 & 88.8764764321895 \tabularnewline
76 & 256 & 281.30466360573 & -25.3046636057301 \tabularnewline
77 & 169 & 258.475712035721 & -89.4757120357212 \tabularnewline
78 & 174 & 177.753963326404 & -3.75396332640423 \tabularnewline
79 & 192 & 174.367273492888 & 17.6327265071119 \tabularnewline
80 & 170 & 190.274881108226 & -20.2748811082258 \tabularnewline
81 & 169 & 171.983617247972 & -2.98361724797178 \tabularnewline
82 & 170 & 169.291905762743 & 0.708094237256887 \tabularnewline
83 & 124 & 169.930722753208 & -45.930722753208 \tabularnewline
84 & 152 & 128.493687207276 & 23.5063127927241 \tabularnewline
85 & 163 & 149.700231767428 & 13.2997682325718 \tabularnewline
86 & 114 & 161.698801264514 & -47.6988012645138 \tabularnewline
87 & 208 & 118.666669283574 & 89.3333307164262 \tabularnewline
88 & 176 & 199.259966720299 & -23.2599667202991 \tabularnewline
89 & 191 & 178.275666669873 & 12.7243333301266 \tabularnewline
90 & 230 & 189.755099626585 & 40.2449003734153 \tabularnewline
91 & 258 & 226.062592027175 & 31.9374079728253 \tabularnewline
92 & 356 & 254.875365484402 & 101.124634515598 \tabularnewline
93 & 375 & 346.106350407224 & 28.8936495927763 \tabularnewline
94 & 339 & 372.173155226748 & -33.1731552267485 \tabularnewline
95 & 291 & 342.245535326504 & -51.2455353265044 \tabularnewline
96 & 150 & 296.013668253471 & -146.013668253471 \tabularnewline
97 & 187 & 164.285421909069 & 22.714578090931 \tabularnewline
98 & 163 & 184.777692079127 & -21.7776920791268 \tabularnewline
99 & 162 & 165.130646557116 & -3.13064655711585 \tabularnewline
100 & 206 & 162.306290551094 & 43.6937094489063 \tabularnewline
101 & 168 & 201.725173665479 & -33.7251736654793 \tabularnewline
102 & 138 & 171.299542710835 & -33.2995427108348 \tabularnewline
103 & 183 & 141.257900597207 & 41.7420994027932 \tabularnewline
104 & 128 & 178.916111769043 & -50.9161117690431 \tabularnewline
105 & 148 & 132.981438705638 & 15.0185612943615 \tabularnewline
106 & 133 & 146.530641089129 & -13.5306410891292 \tabularnewline
107 & 103 & 134.3237864576 & -31.3237864575997 \tabularnewline
108 & 122 & 106.064600120583 & 15.9353998794167 \tabularnewline
109 & 123 & 120.44094108935 & 2.55905891064951 \tabularnewline
110 & 140 & 122.749631410086 & 17.250368589914 \tabularnewline
111 & 157 & 138.312289552468 & 18.6877104475321 \tabularnewline
112 & 149 & 155.171665492342 & -6.17166549234224 \tabularnewline
113 & 171 & 149.603812276579 & 21.3961877234212 \tabularnewline
114 & 139 & 168.906678377917 & -29.9066783779165 \tabularnewline
115 & 169 & 141.925955656327 & 27.0740443436725 \tabularnewline
116 & 172 & 166.35117848308 & 5.64882151691995 \tabularnewline
117 & 162 & 171.447340789232 & -9.4473407892325 \tabularnewline
118 & 138 & 162.924291887926 & -24.9242918879256 \tabularnewline
119 & 124 & 140.438497913673 & -16.4384979136728 \tabularnewline
120 & 140 & 125.608280108685 & 14.3917198913151 \tabularnewline
121 & 128 & 138.591968867684 & -10.5919688676838 \tabularnewline
122 & 112 & 129.036277945294 & -17.0362779452943 \tabularnewline
123 & 154 & 113.6667646332 & 40.3332353667999 \tabularnewline
124 & 159 & 150.053949667422 & 8.94605033257784 \tabularnewline
125 & 176 & 158.124752463593 & 17.8752475364073 \tabularnewline
126 & 245 & 174.251153773198 & 70.7488462268022 \tabularnewline
127 & 168 & 238.078201992876 & -70.0782019928762 \tabularnewline
128 & 242 & 174.856184726209 & 67.143815273791 \tabularnewline
129 & 246 & 235.430904508846 & 10.5690954911538 \tabularnewline
130 & 138 & 244.965959898862 & -106.965959898862 \tabularnewline
131 & 199 & 148.465142649599 & 50.534857350401 \tabularnewline
132 & 232 & 194.055861776502 & 37.9441382234977 \tabularnewline
133 & 198 & 228.287689844503 & -30.2876898445032 \tabularnewline
134 & 219 & 200.963232368963 & 18.0367676310367 \tabularnewline
135 & 243 & 217.235351261514 & 25.764648738486 \tabularnewline
136 & 218 & 240.479284768537 & -22.4792847685375 \tabularnewline
137 & 203 & 220.199287717197 & -17.1992877171965 \tabularnewline
138 & 211 & 204.682712889242 & 6.317287110758 \tabularnewline
139 & 267 & 210.381940658177 & 56.618059341823 \tabularnewline
140 & 233 & 261.460704432365 & -28.4607044323645 \tabularnewline
141 & 223 & 235.784487065552 & -12.7844870655523 \tabularnewline
142 & 211 & 224.250785586082 & -13.2507855860824 \tabularnewline
143 & 267 & 212.296406459669 & 54.7035935403308 \tabularnewline
144 & 248 & 261.64800848432 & -13.6480084843203 \tabularnewline
145 & 244 & 249.335269237114 & -5.33526923711426 \tabularnewline
146 & 265 & 244.521982448372 & 20.4780175516285 \tabularnewline
147 & 268 & 262.996508655077 & 5.0034913449233 \tabularnewline
148 & 242 & 267.510477438615 & -25.5104774386154 \tabularnewline
149 & 244 & 244.495848078276 & -0.495848078275657 \tabularnewline
150 & 276 & 244.048511889919 & 31.9514881100811 \tabularnewline
151 & 371 & 272.87398793733 & 98.1260120626704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286293&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]567[/C][C]529[/C][C]38[/C][/ROW]
[ROW][C]3[/C][C]747[/C][C]563.282224540772[/C][C]183.717775459228[/C][/ROW]
[ROW][C]4[/C][C]719[/C][C]729.025751657203[/C][C]-10.0257516572028[/C][/ROW]
[ROW][C]5[/C][C]707[/C][C]719.980881407144[/C][C]-12.9808814071438[/C][/ROW]
[ROW][C]6[/C][C]728[/C][C]708.270000061438[/C][C]19.7299999385624[/C][/ROW]
[ROW][C]7[/C][C]758[/C][C]726.069691853101[/C][C]31.9303081468989[/C][/ROW]
[ROW][C]8[/C][C]746[/C][C]754.876060104365[/C][C]-8.87606010436502[/C][/ROW]
[ROW][C]9[/C][C]725[/C][C]746.868399958701[/C][C]-21.868399958701[/C][/ROW]
[ROW][C]10[/C][C]725[/C][C]727.139521071027[/C][C]-2.13952107102739[/C][/ROW]
[ROW][C]11[/C][C]555[/C][C]725.209322603483[/C][C]-170.209322603483[/C][/ROW]
[ROW][C]12[/C][C]526[/C][C]571.652632697554[/C][C]-45.6526326975543[/C][/ROW]
[ROW][C]13[/C][C]612[/C][C]530.466479934003[/C][C]81.5335200659969[/C][/ROW]
[ROW][C]14[/C][C]570[/C][C]604.023070526162[/C][C]-34.0230705261621[/C][/ROW]
[ROW][C]15[/C][C]597[/C][C]573.328687806572[/C][C]23.6713121934275[/C][/ROW]
[ROW][C]16[/C][C]666[/C][C]594.684088853672[/C][C]71.3159111463276[/C][/ROW]
[ROW][C]17[/C][C]677[/C][C]659.022722518097[/C][C]17.9772774819029[/C][/ROW]
[ROW][C]18[/C][C]651[/C][C]675.241171551422[/C][C]-24.2411715514223[/C][/ROW]
[ROW][C]19[/C][C]736[/C][C]653.371664018337[/C][C]82.6283359816628[/C][/ROW]
[ROW][C]20[/C][C]757[/C][C]727.91595790133[/C][C]29.0840420986705[/C][/ROW]
[ROW][C]21[/C][C]708[/C][C]754.154527948169[/C][C]-46.1545279481686[/C][/ROW]
[ROW][C]22[/C][C]601[/C][C]712.515583456262[/C][C]-111.515583456262[/C][/ROW]
[ROW][C]23[/C][C]569[/C][C]611.910260513031[/C][C]-42.9102605130314[/C][/ROW]
[ROW][C]24[/C][C]526[/C][C]573.198176670643[/C][C]-47.198176670643[/C][/ROW]
[ROW][C]25[/C][C]538[/C][C]530.617690077538[/C][C]7.38230992246247[/C][/ROW]
[ROW][C]26[/C][C]525[/C][C]537.277742877312[/C][C]-12.277742877312[/C][/ROW]
[ROW][C]27[/C][C]668[/C][C]526.20120766221[/C][C]141.79879233779[/C][/ROW]
[ROW][C]28[/C][C]692[/C][C]654.126945518379[/C][C]37.8730544816215[/C][/ROW]
[ROW][C]29[/C][C]762[/C][C]688.294644407427[/C][C]73.7053555925731[/C][/ROW]
[ROW][C]30[/C][C]693[/C][C]754.788948362217[/C][C]-61.7889483622172[/C][/ROW]
[ROW][C]31[/C][C]775[/C][C]699.045195680857[/C][C]75.9548043191431[/C][/ROW]
[ROW][C]32[/C][C]843[/C][C]767.568870855048[/C][C]75.4311291449521[/C][/ROW]
[ROW][C]33[/C][C]578[/C][C]835.620105242185[/C][C]-257.620105242185[/C][/ROW]
[ROW][C]34[/C][C]708[/C][C]603.204571186135[/C][C]104.795428813865[/C][/ROW]
[ROW][C]35[/C][C]434[/C][C]697.747213855698[/C][C]-263.747213855698[/C][/ROW]
[ROW][C]36[/C][C]489[/C][C]459.804024187171[/C][C]29.1959758128291[/C][/ROW]
[ROW][C]37[/C][C]528[/C][C]486.143576779338[/C][C]41.8564232206619[/C][/ROW]
[ROW][C]38[/C][C]505[/C][C]523.904926761557[/C][C]-18.9049267615568[/C][/ROW]
[ROW][C]39[/C][C]576[/C][C]506.849586125595[/C][C]69.1504138744048[/C][/ROW]
[ROW][C]40[/C][C]805[/C][C]569.23458653427[/C][C]235.76541346573[/C][/ROW]
[ROW][C]41[/C][C]895[/C][C]781.933608728483[/C][C]113.066391271517[/C][/ROW]
[ROW][C]42[/C][C]707[/C][C]883.938014349139[/C][C]-176.938014349139[/C][/ROW]
[ROW][C]43[/C][C]803[/C][C]724.310942303994[/C][C]78.689057696006[/C][/ROW]
[ROW][C]44[/C][C]834[/C][C]795.301361904948[/C][C]38.6986380950524[/C][/ROW]
[ROW][C]45[/C][C]645[/C][C]830.213872446965[/C][C]-185.213872446965[/C][/ROW]
[ROW][C]46[/C][C]745[/C][C]663.120620781366[/C][C]81.8793792186336[/C][/ROW]
[ROW][C]47[/C][C]637[/C][C]736.989232982214[/C][C]-99.989232982214[/C][/ROW]
[ROW][C]48[/C][C]588[/C][C]646.782566225482[/C][C]-58.782566225482[/C][/ROW]
[ROW][C]49[/C][C]429[/C][C]593.751062687988[/C][C]-164.751062687988[/C][/ROW]
[ROW][C]50[/C][C]552[/C][C]445.11861730903[/C][C]106.88138269097[/C][/ROW]
[ROW][C]51[/C][C]598[/C][C]541.543132062714[/C][C]56.4568679372856[/C][/ROW]
[ROW][C]52[/C][C]735[/C][C]592.47647478626[/C][C]142.52352521374[/C][/ROW]
[ROW][C]53[/C][C]831[/C][C]721.056040410465[/C][C]109.943959589535[/C][/ROW]
[ROW][C]54[/C][C]720[/C][C]820.243501188097[/C][C]-100.243501188097[/C][/ROW]
[ROW][C]55[/C][C]691[/C][C]729.807442859584[/C][C]-38.8074428595843[/C][/ROW]
[ROW][C]56[/C][C]670[/C][C]694.796772597336[/C][C]-24.7967725973357[/C][/ROW]
[ROW][C]57[/C][C]649[/C][C]672.426021911327[/C][C]-23.4260219113271[/C][/ROW]
[ROW][C]58[/C][C]586[/C][C]651.291912878139[/C][C]-65.2919128781386[/C][/ROW]
[ROW][C]59[/C][C]559[/C][C]592.387912404853[/C][C]-33.3879124048527[/C][/ROW]
[ROW][C]60[/C][C]374[/C][C]562.266546351937[/C][C]-188.266546351937[/C][/ROW]
[ROW][C]61[/C][C]442[/C][C]392.419282784759[/C][C]49.5807172152406[/C][/ROW]
[ROW][C]62[/C][C]396[/C][C]437.149211218059[/C][C]-41.1492112180593[/C][/ROW]
[ROW][C]63[/C][C]555[/C][C]400.025882306134[/C][C]154.974117693866[/C][/ROW]
[ROW][C]64[/C][C]707[/C][C]539.837921800585[/C][C]167.162078199415[/C][/ROW]
[ROW][C]65[/C][C]616[/C][C]690.645498104122[/C][C]-74.6454981041223[/C][/ROW]
[ROW][C]66[/C][C]473[/C][C]623.303031605089[/C][C]-150.303031605089[/C][/ROW]
[ROW][C]67[/C][C]289[/C][C]487.70507690392[/C][C]-198.70507690392[/C][/ROW]
[ROW][C]68[/C][C]183[/C][C]308.44054890888[/C][C]-125.44054890888[/C][/ROW]
[ROW][C]69[/C][C]204[/C][C]195.272626166461[/C][C]8.72737383353868[/C][/ROW]
[ROW][C]70[/C][C]183[/C][C]203.146146940478[/C][C]-20.1461469404779[/C][/ROW]
[ROW][C]71[/C][C]140[/C][C]184.971022386666[/C][C]-44.9710223866661[/C][/ROW]
[ROW][C]72[/C][C]201[/C][C]144.39979377383[/C][C]56.6002062261699[/C][/ROW]
[ROW][C]73[/C][C]203[/C][C]195.462451113292[/C][C]7.53754888670795[/C][/ROW]
[ROW][C]74[/C][C]201[/C][C]202.262554887533[/C][C]-1.2625548875333[/C][/ROW]
[ROW][C]75[/C][C]290[/C][C]201.123523567811[/C][C]88.8764764321895[/C][/ROW]
[ROW][C]76[/C][C]256[/C][C]281.30466360573[/C][C]-25.3046636057301[/C][/ROW]
[ROW][C]77[/C][C]169[/C][C]258.475712035721[/C][C]-89.4757120357212[/C][/ROW]
[ROW][C]78[/C][C]174[/C][C]177.753963326404[/C][C]-3.75396332640423[/C][/ROW]
[ROW][C]79[/C][C]192[/C][C]174.367273492888[/C][C]17.6327265071119[/C][/ROW]
[ROW][C]80[/C][C]170[/C][C]190.274881108226[/C][C]-20.2748811082258[/C][/ROW]
[ROW][C]81[/C][C]169[/C][C]171.983617247972[/C][C]-2.98361724797178[/C][/ROW]
[ROW][C]82[/C][C]170[/C][C]169.291905762743[/C][C]0.708094237256887[/C][/ROW]
[ROW][C]83[/C][C]124[/C][C]169.930722753208[/C][C]-45.930722753208[/C][/ROW]
[ROW][C]84[/C][C]152[/C][C]128.493687207276[/C][C]23.5063127927241[/C][/ROW]
[ROW][C]85[/C][C]163[/C][C]149.700231767428[/C][C]13.2997682325718[/C][/ROW]
[ROW][C]86[/C][C]114[/C][C]161.698801264514[/C][C]-47.6988012645138[/C][/ROW]
[ROW][C]87[/C][C]208[/C][C]118.666669283574[/C][C]89.3333307164262[/C][/ROW]
[ROW][C]88[/C][C]176[/C][C]199.259966720299[/C][C]-23.2599667202991[/C][/ROW]
[ROW][C]89[/C][C]191[/C][C]178.275666669873[/C][C]12.7243333301266[/C][/ROW]
[ROW][C]90[/C][C]230[/C][C]189.755099626585[/C][C]40.2449003734153[/C][/ROW]
[ROW][C]91[/C][C]258[/C][C]226.062592027175[/C][C]31.9374079728253[/C][/ROW]
[ROW][C]92[/C][C]356[/C][C]254.875365484402[/C][C]101.124634515598[/C][/ROW]
[ROW][C]93[/C][C]375[/C][C]346.106350407224[/C][C]28.8936495927763[/C][/ROW]
[ROW][C]94[/C][C]339[/C][C]372.173155226748[/C][C]-33.1731552267485[/C][/ROW]
[ROW][C]95[/C][C]291[/C][C]342.245535326504[/C][C]-51.2455353265044[/C][/ROW]
[ROW][C]96[/C][C]150[/C][C]296.013668253471[/C][C]-146.013668253471[/C][/ROW]
[ROW][C]97[/C][C]187[/C][C]164.285421909069[/C][C]22.714578090931[/C][/ROW]
[ROW][C]98[/C][C]163[/C][C]184.777692079127[/C][C]-21.7776920791268[/C][/ROW]
[ROW][C]99[/C][C]162[/C][C]165.130646557116[/C][C]-3.13064655711585[/C][/ROW]
[ROW][C]100[/C][C]206[/C][C]162.306290551094[/C][C]43.6937094489063[/C][/ROW]
[ROW][C]101[/C][C]168[/C][C]201.725173665479[/C][C]-33.7251736654793[/C][/ROW]
[ROW][C]102[/C][C]138[/C][C]171.299542710835[/C][C]-33.2995427108348[/C][/ROW]
[ROW][C]103[/C][C]183[/C][C]141.257900597207[/C][C]41.7420994027932[/C][/ROW]
[ROW][C]104[/C][C]128[/C][C]178.916111769043[/C][C]-50.9161117690431[/C][/ROW]
[ROW][C]105[/C][C]148[/C][C]132.981438705638[/C][C]15.0185612943615[/C][/ROW]
[ROW][C]106[/C][C]133[/C][C]146.530641089129[/C][C]-13.5306410891292[/C][/ROW]
[ROW][C]107[/C][C]103[/C][C]134.3237864576[/C][C]-31.3237864575997[/C][/ROW]
[ROW][C]108[/C][C]122[/C][C]106.064600120583[/C][C]15.9353998794167[/C][/ROW]
[ROW][C]109[/C][C]123[/C][C]120.44094108935[/C][C]2.55905891064951[/C][/ROW]
[ROW][C]110[/C][C]140[/C][C]122.749631410086[/C][C]17.250368589914[/C][/ROW]
[ROW][C]111[/C][C]157[/C][C]138.312289552468[/C][C]18.6877104475321[/C][/ROW]
[ROW][C]112[/C][C]149[/C][C]155.171665492342[/C][C]-6.17166549234224[/C][/ROW]
[ROW][C]113[/C][C]171[/C][C]149.603812276579[/C][C]21.3961877234212[/C][/ROW]
[ROW][C]114[/C][C]139[/C][C]168.906678377917[/C][C]-29.9066783779165[/C][/ROW]
[ROW][C]115[/C][C]169[/C][C]141.925955656327[/C][C]27.0740443436725[/C][/ROW]
[ROW][C]116[/C][C]172[/C][C]166.35117848308[/C][C]5.64882151691995[/C][/ROW]
[ROW][C]117[/C][C]162[/C][C]171.447340789232[/C][C]-9.4473407892325[/C][/ROW]
[ROW][C]118[/C][C]138[/C][C]162.924291887926[/C][C]-24.9242918879256[/C][/ROW]
[ROW][C]119[/C][C]124[/C][C]140.438497913673[/C][C]-16.4384979136728[/C][/ROW]
[ROW][C]120[/C][C]140[/C][C]125.608280108685[/C][C]14.3917198913151[/C][/ROW]
[ROW][C]121[/C][C]128[/C][C]138.591968867684[/C][C]-10.5919688676838[/C][/ROW]
[ROW][C]122[/C][C]112[/C][C]129.036277945294[/C][C]-17.0362779452943[/C][/ROW]
[ROW][C]123[/C][C]154[/C][C]113.6667646332[/C][C]40.3332353667999[/C][/ROW]
[ROW][C]124[/C][C]159[/C][C]150.053949667422[/C][C]8.94605033257784[/C][/ROW]
[ROW][C]125[/C][C]176[/C][C]158.124752463593[/C][C]17.8752475364073[/C][/ROW]
[ROW][C]126[/C][C]245[/C][C]174.251153773198[/C][C]70.7488462268022[/C][/ROW]
[ROW][C]127[/C][C]168[/C][C]238.078201992876[/C][C]-70.0782019928762[/C][/ROW]
[ROW][C]128[/C][C]242[/C][C]174.856184726209[/C][C]67.143815273791[/C][/ROW]
[ROW][C]129[/C][C]246[/C][C]235.430904508846[/C][C]10.5690954911538[/C][/ROW]
[ROW][C]130[/C][C]138[/C][C]244.965959898862[/C][C]-106.965959898862[/C][/ROW]
[ROW][C]131[/C][C]199[/C][C]148.465142649599[/C][C]50.534857350401[/C][/ROW]
[ROW][C]132[/C][C]232[/C][C]194.055861776502[/C][C]37.9441382234977[/C][/ROW]
[ROW][C]133[/C][C]198[/C][C]228.287689844503[/C][C]-30.2876898445032[/C][/ROW]
[ROW][C]134[/C][C]219[/C][C]200.963232368963[/C][C]18.0367676310367[/C][/ROW]
[ROW][C]135[/C][C]243[/C][C]217.235351261514[/C][C]25.764648738486[/C][/ROW]
[ROW][C]136[/C][C]218[/C][C]240.479284768537[/C][C]-22.4792847685375[/C][/ROW]
[ROW][C]137[/C][C]203[/C][C]220.199287717197[/C][C]-17.1992877171965[/C][/ROW]
[ROW][C]138[/C][C]211[/C][C]204.682712889242[/C][C]6.317287110758[/C][/ROW]
[ROW][C]139[/C][C]267[/C][C]210.381940658177[/C][C]56.618059341823[/C][/ROW]
[ROW][C]140[/C][C]233[/C][C]261.460704432365[/C][C]-28.4607044323645[/C][/ROW]
[ROW][C]141[/C][C]223[/C][C]235.784487065552[/C][C]-12.7844870655523[/C][/ROW]
[ROW][C]142[/C][C]211[/C][C]224.250785586082[/C][C]-13.2507855860824[/C][/ROW]
[ROW][C]143[/C][C]267[/C][C]212.296406459669[/C][C]54.7035935403308[/C][/ROW]
[ROW][C]144[/C][C]248[/C][C]261.64800848432[/C][C]-13.6480084843203[/C][/ROW]
[ROW][C]145[/C][C]244[/C][C]249.335269237114[/C][C]-5.33526923711426[/C][/ROW]
[ROW][C]146[/C][C]265[/C][C]244.521982448372[/C][C]20.4780175516285[/C][/ROW]
[ROW][C]147[/C][C]268[/C][C]262.996508655077[/C][C]5.0034913449233[/C][/ROW]
[ROW][C]148[/C][C]242[/C][C]267.510477438615[/C][C]-25.5104774386154[/C][/ROW]
[ROW][C]149[/C][C]244[/C][C]244.495848078276[/C][C]-0.495848078275657[/C][/ROW]
[ROW][C]150[/C][C]276[/C][C]244.048511889919[/C][C]31.9514881100811[/C][/ROW]
[ROW][C]151[/C][C]371[/C][C]272.87398793733[/C][C]98.1260120626704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286293&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286293&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
256752938
3747563.282224540772183.717775459228
4719729.025751657203-10.0257516572028
5707719.980881407144-12.9808814071438
6728708.27000006143819.7299999385624
7758726.06969185310131.9303081468989
8746754.876060104365-8.87606010436502
9725746.868399958701-21.868399958701
10725727.139521071027-2.13952107102739
11555725.209322603483-170.209322603483
12526571.652632697554-45.6526326975543
13612530.46647993400381.5335200659969
14570604.023070526162-34.0230705261621
15597573.32868780657223.6713121934275
16666594.68408885367271.3159111463276
17677659.02272251809717.9772774819029
18651675.241171551422-24.2411715514223
19736653.37166401833782.6283359816628
20757727.9159579013329.0840420986705
21708754.154527948169-46.1545279481686
22601712.515583456262-111.515583456262
23569611.910260513031-42.9102605130314
24526573.198176670643-47.198176670643
25538530.6176900775387.38230992246247
26525537.277742877312-12.277742877312
27668526.20120766221141.79879233779
28692654.12694551837937.8730544816215
29762688.29464440742773.7053555925731
30693754.788948362217-61.7889483622172
31775699.04519568085775.9548043191431
32843767.56887085504875.4311291449521
33578835.620105242185-257.620105242185
34708603.204571186135104.795428813865
35434697.747213855698-263.747213855698
36489459.80402418717129.1959758128291
37528486.14357677933841.8564232206619
38505523.904926761557-18.9049267615568
39576506.84958612559569.1504138744048
40805569.23458653427235.76541346573
41895781.933608728483113.066391271517
42707883.938014349139-176.938014349139
43803724.31094230399478.689057696006
44834795.30136190494838.6986380950524
45645830.213872446965-185.213872446965
46745663.12062078136681.8793792186336
47637736.989232982214-99.989232982214
48588646.782566225482-58.782566225482
49429593.751062687988-164.751062687988
50552445.11861730903106.88138269097
51598541.54313206271456.4568679372856
52735592.47647478626142.52352521374
53831721.056040410465109.943959589535
54720820.243501188097-100.243501188097
55691729.807442859584-38.8074428595843
56670694.796772597336-24.7967725973357
57649672.426021911327-23.4260219113271
58586651.291912878139-65.2919128781386
59559592.387912404853-33.3879124048527
60374562.266546351937-188.266546351937
61442392.41928278475949.5807172152406
62396437.149211218059-41.1492112180593
63555400.025882306134154.974117693866
64707539.837921800585167.162078199415
65616690.645498104122-74.6454981041223
66473623.303031605089-150.303031605089
67289487.70507690392-198.70507690392
68183308.44054890888-125.44054890888
69204195.2726261664618.72737383353868
70183203.146146940478-20.1461469404779
71140184.971022386666-44.9710223866661
72201144.3997937738356.6002062261699
73203195.4624511132927.53754888670795
74201202.262554887533-1.2625548875333
75290201.12352356781188.8764764321895
76256281.30466360573-25.3046636057301
77169258.475712035721-89.4757120357212
78174177.753963326404-3.75396332640423
79192174.36727349288817.6327265071119
80170190.274881108226-20.2748811082258
81169171.983617247972-2.98361724797178
82170169.2919057627430.708094237256887
83124169.930722753208-45.930722753208
84152128.49368720727623.5063127927241
85163149.70023176742813.2997682325718
86114161.698801264514-47.6988012645138
87208118.66666928357489.3333307164262
88176199.259966720299-23.2599667202991
89191178.27566666987312.7243333301266
90230189.75509962658540.2449003734153
91258226.06259202717531.9374079728253
92356254.875365484402101.124634515598
93375346.10635040722428.8936495927763
94339372.173155226748-33.1731552267485
95291342.245535326504-51.2455353265044
96150296.013668253471-146.013668253471
97187164.28542190906922.714578090931
98163184.777692079127-21.7776920791268
99162165.130646557116-3.13064655711585
100206162.30629055109443.6937094489063
101168201.725173665479-33.7251736654793
102138171.299542710835-33.2995427108348
103183141.25790059720741.7420994027932
104128178.916111769043-50.9161117690431
105148132.98143870563815.0185612943615
106133146.530641089129-13.5306410891292
107103134.3237864576-31.3237864575997
108122106.06460012058315.9353998794167
109123120.440941089352.55905891064951
110140122.74963141008617.250368589914
111157138.31228955246818.6877104475321
112149155.171665492342-6.17166549234224
113171149.60381227657921.3961877234212
114139168.906678377917-29.9066783779165
115169141.92595565632727.0740443436725
116172166.351178483085.64882151691995
117162171.447340789232-9.4473407892325
118138162.924291887926-24.9242918879256
119124140.438497913673-16.4384979136728
120140125.60828010868514.3917198913151
121128138.591968867684-10.5919688676838
122112129.036277945294-17.0362779452943
123154113.666764633240.3332353667999
124159150.0539496674228.94605033257784
125176158.12475246359317.8752475364073
126245174.25115377319870.7488462268022
127168238.078201992876-70.0782019928762
128242174.85618472620967.143815273791
129246235.43090450884610.5690954911538
130138244.965959898862-106.965959898862
131199148.46514264959950.534857350401
132232194.05586177650237.9441382234977
133198228.287689844503-30.2876898445032
134219200.96323236896318.0367676310367
135243217.23535126151425.764648738486
136218240.479284768537-22.4792847685375
137203220.199287717197-17.1992877171965
138211204.6827128892426.317287110758
139267210.38194065817756.618059341823
140233261.460704432365-28.4607044323645
141223235.784487065552-12.7844870655523
142211224.250785586082-13.2507855860824
143267212.29640645966954.7035935403308
144248261.64800848432-13.6480084843203
145244249.335269237114-5.33526923711426
146265244.52198244837220.4780175516285
147268262.9965086550775.0034913449233
148242267.510477438615-25.5104774386154
149244244.495848078276-0.495848078275657
150276244.04851188991931.9514881100811
151371272.8739879373398.1260120626704







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
152361.399724222144210.753833572058512.045614872231
153361.399724222144158.508200661237564.291247783051
154361.399724222144117.195391140246605.604057304042
155361.39972422214481.9242471958354640.875201248453
156361.39972422214450.6307936287028672.168654815586
157361.39972422214422.2122919884313700.587156455857
158361.399724222144-4.00265692555439726.802105369843
159361.399724222144-28.4588220629365751.258270507225
160361.399724222144-51.4688651312053774.268313575494
161361.399724222144-73.262510205616796.061958649905
162361.399724222144-94.0144213649704816.813869809259
163361.399724222144-113.861077826531836.66052627082

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
152 & 361.399724222144 & 210.753833572058 & 512.045614872231 \tabularnewline
153 & 361.399724222144 & 158.508200661237 & 564.291247783051 \tabularnewline
154 & 361.399724222144 & 117.195391140246 & 605.604057304042 \tabularnewline
155 & 361.399724222144 & 81.9242471958354 & 640.875201248453 \tabularnewline
156 & 361.399724222144 & 50.6307936287028 & 672.168654815586 \tabularnewline
157 & 361.399724222144 & 22.2122919884313 & 700.587156455857 \tabularnewline
158 & 361.399724222144 & -4.00265692555439 & 726.802105369843 \tabularnewline
159 & 361.399724222144 & -28.4588220629365 & 751.258270507225 \tabularnewline
160 & 361.399724222144 & -51.4688651312053 & 774.268313575494 \tabularnewline
161 & 361.399724222144 & -73.262510205616 & 796.061958649905 \tabularnewline
162 & 361.399724222144 & -94.0144213649704 & 816.813869809259 \tabularnewline
163 & 361.399724222144 & -113.861077826531 & 836.66052627082 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286293&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]152[/C][C]361.399724222144[/C][C]210.753833572058[/C][C]512.045614872231[/C][/ROW]
[ROW][C]153[/C][C]361.399724222144[/C][C]158.508200661237[/C][C]564.291247783051[/C][/ROW]
[ROW][C]154[/C][C]361.399724222144[/C][C]117.195391140246[/C][C]605.604057304042[/C][/ROW]
[ROW][C]155[/C][C]361.399724222144[/C][C]81.9242471958354[/C][C]640.875201248453[/C][/ROW]
[ROW][C]156[/C][C]361.399724222144[/C][C]50.6307936287028[/C][C]672.168654815586[/C][/ROW]
[ROW][C]157[/C][C]361.399724222144[/C][C]22.2122919884313[/C][C]700.587156455857[/C][/ROW]
[ROW][C]158[/C][C]361.399724222144[/C][C]-4.00265692555439[/C][C]726.802105369843[/C][/ROW]
[ROW][C]159[/C][C]361.399724222144[/C][C]-28.4588220629365[/C][C]751.258270507225[/C][/ROW]
[ROW][C]160[/C][C]361.399724222144[/C][C]-51.4688651312053[/C][C]774.268313575494[/C][/ROW]
[ROW][C]161[/C][C]361.399724222144[/C][C]-73.262510205616[/C][C]796.061958649905[/C][/ROW]
[ROW][C]162[/C][C]361.399724222144[/C][C]-94.0144213649704[/C][C]816.813869809259[/C][/ROW]
[ROW][C]163[/C][C]361.399724222144[/C][C]-113.861077826531[/C][C]836.66052627082[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286293&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286293&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
152361.399724222144210.753833572058512.045614872231
153361.399724222144158.508200661237564.291247783051
154361.399724222144117.195391140246605.604057304042
155361.39972422214481.9242471958354640.875201248453
156361.39972422214450.6307936287028672.168654815586
157361.39972422214422.2122919884313700.587156455857
158361.399724222144-4.00265692555439726.802105369843
159361.399724222144-28.4588220629365751.258270507225
160361.399724222144-51.4688651312053774.268313575494
161361.399724222144-73.262510205616796.061958649905
162361.399724222144-94.0144213649704816.813869809259
163361.399724222144-113.861077826531836.66052627082



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')