Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 26 Apr 2016 10:45:19 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Apr/26/t146166393882s5kn2u2v97ufd.htm/, Retrieved Fri, 03 May 2024 19:35:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294835, Retrieved Fri, 03 May 2024 19:35:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Opgave 10- oefeni...] [2016-04-26 09:45:19] [b1d105767b629000b6b6bd83f6a3d689] [Current]
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Dataseries X:
283 411
234 585
207 695
204 000
220 791
222 335
303 510
201 602
218 279
207 253
217 639
231 043
302 988
221 415
213 989
190 507
199 397
201 077
261 048
241 508
194 637
240 044
253 534
269 220
270 820
354 121
315 233
297 098
258 289
276 246
246 652
242 945
210 838
246 343
234 636
229 011
238 756
283 696
226 656
229 790
219831
232 331
315 447
251 031
297 019
208 424
311 626
352 320
375 214
419 501
664 867
483 142
312 717
228 228
230 978
218 033
225 566
207 708
241 861
208 381
209 071
214 514
195 868
190 208
187 651
215 934
213 012
236 845
154 595
193 485
231 875
192 259
191 609
212 911
238 596
203 033
258 272
314 681
289 789
297 541
239 578
207 798
254 091
242 544
218 067
217 463
229 438
216 485
238 410
223 108
221 267
224 802
233 630
235 134
309 660
253 229
293 530
273 323
297 578
341 589
389 911
398 685
629 637
522 502
358 941
252 783
236 585
224 995
225 721
223 338
228 952
212 759
200270
211 925
191 206
200 511
205 944
289 288
186 209
197 515
182 038
181 606
223 337
201 213
220 700
194 043
224 593
249 907
238 613
266 200
274 197
288 601
242 662
232 105
267 842
219 037
198 404
203 910
209 685
214 274
215 376
217 711
224 819
217 142
221 445
213 483
282 063
236 194
297 296
255 885
264 502
311 580
416 595
356 762
537 286
532 855




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=294835&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=294835&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294835&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
alpha0.866938220813824
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.866938220813824 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294835&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]0.866938220813824[/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=294835&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294835&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
alpha0.866938220813824
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2234585283411-48826
3207695241081.874430544-33386.8744305442
4204000212137.516913194-8137.51691319366
5220791205082.79247862715708.2075213729
6222335218700.837959383634.16204061953
7303510221851.43193302481658.5680669757
8201602292644.365647213-91042.3656472128
9218279213716.2591543364562.7408456635
10207253217671.873585111-10418.8735851106
11217639208639.3538563518999.64614364936
12231043216441.4910720814601.50892792
13302988229100.09724324873887.9027567519
14221415293156.344198851-71741.3441988514
15213989230961.030900307-16972.030900307
16190507216247.328627998-25740.3286279976
17199397193932.0539240785464.94607592179
18201077198669.8245519812407.17544801865
19261048200756.69695207360291.3030479267
20241508253025.53194699-11517.53194699
21194637243040.5432927-48403.5432927001
22240044201077.66158944238966.3384105582
23253534234859.06968272118674.9303172795
24269220251049.08054580518170.9194541951
25270820266802.1451279764017.85487202392
26354121270285.37708221783835.6229177833
27315233342965.682855378-27732.6828553784
28297098318923.160122343-21825.1601223426
29258289300002.094636902-41713.0946369021
30276246263839.41858774712406.5814122525
31246652274595.158203668-27943.1582036676
32242945250370.166346661-7425.16634666082
33210838243933.00584484-33095.00584484
34246343215241.68035989131101.3196401087
35234636242204.603073649-7568.6030736492
36229011235643.091790934-6632.09179093374
37238756229893.4779334288862.5220665723
38283696237576.73704574546119.2629542549
39226656277559.288816552-50903.2888165518
40229790233429.282176358-3639.28217635816
41219831230274.249361347-10443.2493613467
42232331221220.59734050611110.4026594943
43315447230852.63005465384594.3699453471
44251031304190.722625939-53159.7226259385
45297019258104.52727365138914.472726349
46208424291840.97102294-83416.9710229401
47311626219523.61057863492102.3894213659
48352320299370.69219629552949.3078037049
49375214345274.47089696329939.5291030374
50419501371230.19298955448270.8070104464
51664867413078.000536437251788.999463563
52483142631363.507751871-148221.507751871
53312717502864.617535122-190147.617535122
54228228338018.380297236-109790.380297236
55230978242836.903339877-11858.903339877
56218033232555.966777601-14522.9667776009
57225566219965.4517984895600.54820151071
58207708224820.781091889-17112.781091889
59241861209985.0570989131875.9429010897
60208381237619.530324344-29238.5303243441
61209071212271.530865746-3200.53086574617
62214514209496.8683313365017.13166866355
63195868213846.411533756-17978.4115337563
64190208198260.239425623-8052.23942562286
65187651191279.445304406-3628.44530440646
66215934188133.80738788427800.192612116
67213012212234.856909313777.143090686528
68236845212908.59195767123936.408042329
69154595233659.978958561-79064.9789585614
70193485165115.52677154428369.4732284563
71231875189710.10741764742164.892582353
72192259226264.464373798-34005.4643737981
73191609196783.82759163-5174.8275916297
74212911192297.57176632420613.428233676
75238596210168.14056410128427.8594358995
76203033234813.338445005-31780.3384450047
77258272207261.74837663151010.2516233689
78314681251484.4851622663196.51483774
79289789306271.959297325-16482.9592973248
80297541291982.2518903555558.74810964463
81239578296801.343086483-57223.3430864829
82207798247192.239842068-39394.2398420683
83254091213039.86764307341051.1323569275
84242544248628.66329098-6084.66329098004
85218067243353.636123247-25286.6361232466
86217463221431.684792193-3968.68479219259
87229438217991.08025947811446.9197405218
88216485227914.852493125-11429.8524931248
89238410218005.87650857120404.1234914293
90223108235694.991025496-12586.991025496
91221267224782.847420453-3515.84742045292
92224802221734.8249131133067.17508688741
93233630224393.8762258639236.12377413677
94235134232401.024937832732.97506217036
95309660234770.34547575674889.6545242438
96253229299695.049326366-46466.0493263661
97293530259411.85519511934118.1448048811
98273323288990.178949731-15667.1789497309
99297578275407.70270587922170.2972941206
100341589294627.98079695846961.0192030421
101389911335340.28323244754570.7167675529
102398685382649.72333544516035.2766645555
103629637396551.317557272233085.682442728
104522502598622.204391347-76120.2043913465
105358941532630.689828328-173689.689828328
106252783382052.459154852-129269.459154852
107236585269983.824229579-33398.8242295793
108224995241029.106974714-16034.1069747142
109225721227128.526801717-1407.52680171694
110223338225908.288020489-2570.28802048866
111228952223680.0070970275271.99290297288
112212759228250.499244474-15491.4992444735
113200270214820.326451731-14550.326451731
114211925202206.0923254079718.90767459298
115191206210631.784853072-19425.7848530725
116200511193790.8294946386720.17050536233
117205944199616.8021561226327.19784387798
118289288205102.09179763184185.9082023693
119186209278086.073272189-91877.0732721887
120197515198434.326836016-919.326836016087
121182038197637.327264454-15599.3272644539
122181606184113.674239916-2507.67423991568
123223337181939.67559598341397.3244040175
124201213217828.598361254-16615.5983612541
125220700203423.90108019117276.0989198086
126194043218401.211540334-24358.2115403339
127224593197284.1469653527308.8530346499
128249907220959.23542767628947.7645723243
129238613246055.158942544-7442.15894254396
130266200239603.26690988126596.7330901188
131274197262660.99137448911536.008625511
132288601272661.99816758215939.0018324176
133242662286480.128057727-43818.1280577268
134232105248492.518079969-16387.5180799688
135267842234285.55231216633556.4476878337
136219037263376.919367489-44339.919367489
137198404224936.94856001-26532.9485600097
138203910201934.521342451975.47865754983
139209685203647.1392950826037.8607049179
140214274208881.5915121255392.40848787467
141215376213556.4765325051819.52346749522
142217711215133.8909701442577.10902985593
143224819217368.0852873317450.91471266939
144217142223827.568031768-6685.56803176773
145221445218031.5935771773413.40642282277
146213483220990.806068294-7507.80606829369
147282063214482.00203323267580.9979667681
148236194273070.552171364-36876.5521713645
149297296241100.85964217456195.1403578264
150255885289818.574642371-33933.5746423707
151264502260400.2618160614101.73818393925
152311580263956.21541948947623.7845805108
153416595305243.094492138111351.905507862
154356762401778.317337353-45016.317337353
155537286362751.951277318174534.048722682
156532855514062.18894839318792.8110516068

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 234585 & 283411 & -48826 \tabularnewline
3 & 207695 & 241081.874430544 & -33386.8744305442 \tabularnewline
4 & 204000 & 212137.516913194 & -8137.51691319366 \tabularnewline
5 & 220791 & 205082.792478627 & 15708.2075213729 \tabularnewline
6 & 222335 & 218700.83795938 & 3634.16204061953 \tabularnewline
7 & 303510 & 221851.431933024 & 81658.5680669757 \tabularnewline
8 & 201602 & 292644.365647213 & -91042.3656472128 \tabularnewline
9 & 218279 & 213716.259154336 & 4562.7408456635 \tabularnewline
10 & 207253 & 217671.873585111 & -10418.8735851106 \tabularnewline
11 & 217639 & 208639.353856351 & 8999.64614364936 \tabularnewline
12 & 231043 & 216441.49107208 & 14601.50892792 \tabularnewline
13 & 302988 & 229100.097243248 & 73887.9027567519 \tabularnewline
14 & 221415 & 293156.344198851 & -71741.3441988514 \tabularnewline
15 & 213989 & 230961.030900307 & -16972.030900307 \tabularnewline
16 & 190507 & 216247.328627998 & -25740.3286279976 \tabularnewline
17 & 199397 & 193932.053924078 & 5464.94607592179 \tabularnewline
18 & 201077 & 198669.824551981 & 2407.17544801865 \tabularnewline
19 & 261048 & 200756.696952073 & 60291.3030479267 \tabularnewline
20 & 241508 & 253025.53194699 & -11517.53194699 \tabularnewline
21 & 194637 & 243040.5432927 & -48403.5432927001 \tabularnewline
22 & 240044 & 201077.661589442 & 38966.3384105582 \tabularnewline
23 & 253534 & 234859.069682721 & 18674.9303172795 \tabularnewline
24 & 269220 & 251049.080545805 & 18170.9194541951 \tabularnewline
25 & 270820 & 266802.145127976 & 4017.85487202392 \tabularnewline
26 & 354121 & 270285.377082217 & 83835.6229177833 \tabularnewline
27 & 315233 & 342965.682855378 & -27732.6828553784 \tabularnewline
28 & 297098 & 318923.160122343 & -21825.1601223426 \tabularnewline
29 & 258289 & 300002.094636902 & -41713.0946369021 \tabularnewline
30 & 276246 & 263839.418587747 & 12406.5814122525 \tabularnewline
31 & 246652 & 274595.158203668 & -27943.1582036676 \tabularnewline
32 & 242945 & 250370.166346661 & -7425.16634666082 \tabularnewline
33 & 210838 & 243933.00584484 & -33095.00584484 \tabularnewline
34 & 246343 & 215241.680359891 & 31101.3196401087 \tabularnewline
35 & 234636 & 242204.603073649 & -7568.6030736492 \tabularnewline
36 & 229011 & 235643.091790934 & -6632.09179093374 \tabularnewline
37 & 238756 & 229893.477933428 & 8862.5220665723 \tabularnewline
38 & 283696 & 237576.737045745 & 46119.2629542549 \tabularnewline
39 & 226656 & 277559.288816552 & -50903.2888165518 \tabularnewline
40 & 229790 & 233429.282176358 & -3639.28217635816 \tabularnewline
41 & 219831 & 230274.249361347 & -10443.2493613467 \tabularnewline
42 & 232331 & 221220.597340506 & 11110.4026594943 \tabularnewline
43 & 315447 & 230852.630054653 & 84594.3699453471 \tabularnewline
44 & 251031 & 304190.722625939 & -53159.7226259385 \tabularnewline
45 & 297019 & 258104.527273651 & 38914.472726349 \tabularnewline
46 & 208424 & 291840.97102294 & -83416.9710229401 \tabularnewline
47 & 311626 & 219523.610578634 & 92102.3894213659 \tabularnewline
48 & 352320 & 299370.692196295 & 52949.3078037049 \tabularnewline
49 & 375214 & 345274.470896963 & 29939.5291030374 \tabularnewline
50 & 419501 & 371230.192989554 & 48270.8070104464 \tabularnewline
51 & 664867 & 413078.000536437 & 251788.999463563 \tabularnewline
52 & 483142 & 631363.507751871 & -148221.507751871 \tabularnewline
53 & 312717 & 502864.617535122 & -190147.617535122 \tabularnewline
54 & 228228 & 338018.380297236 & -109790.380297236 \tabularnewline
55 & 230978 & 242836.903339877 & -11858.903339877 \tabularnewline
56 & 218033 & 232555.966777601 & -14522.9667776009 \tabularnewline
57 & 225566 & 219965.451798489 & 5600.54820151071 \tabularnewline
58 & 207708 & 224820.781091889 & -17112.781091889 \tabularnewline
59 & 241861 & 209985.05709891 & 31875.9429010897 \tabularnewline
60 & 208381 & 237619.530324344 & -29238.5303243441 \tabularnewline
61 & 209071 & 212271.530865746 & -3200.53086574617 \tabularnewline
62 & 214514 & 209496.868331336 & 5017.13166866355 \tabularnewline
63 & 195868 & 213846.411533756 & -17978.4115337563 \tabularnewline
64 & 190208 & 198260.239425623 & -8052.23942562286 \tabularnewline
65 & 187651 & 191279.445304406 & -3628.44530440646 \tabularnewline
66 & 215934 & 188133.807387884 & 27800.192612116 \tabularnewline
67 & 213012 & 212234.856909313 & 777.143090686528 \tabularnewline
68 & 236845 & 212908.591957671 & 23936.408042329 \tabularnewline
69 & 154595 & 233659.978958561 & -79064.9789585614 \tabularnewline
70 & 193485 & 165115.526771544 & 28369.4732284563 \tabularnewline
71 & 231875 & 189710.107417647 & 42164.892582353 \tabularnewline
72 & 192259 & 226264.464373798 & -34005.4643737981 \tabularnewline
73 & 191609 & 196783.82759163 & -5174.8275916297 \tabularnewline
74 & 212911 & 192297.571766324 & 20613.428233676 \tabularnewline
75 & 238596 & 210168.140564101 & 28427.8594358995 \tabularnewline
76 & 203033 & 234813.338445005 & -31780.3384450047 \tabularnewline
77 & 258272 & 207261.748376631 & 51010.2516233689 \tabularnewline
78 & 314681 & 251484.48516226 & 63196.51483774 \tabularnewline
79 & 289789 & 306271.959297325 & -16482.9592973248 \tabularnewline
80 & 297541 & 291982.251890355 & 5558.74810964463 \tabularnewline
81 & 239578 & 296801.343086483 & -57223.3430864829 \tabularnewline
82 & 207798 & 247192.239842068 & -39394.2398420683 \tabularnewline
83 & 254091 & 213039.867643073 & 41051.1323569275 \tabularnewline
84 & 242544 & 248628.66329098 & -6084.66329098004 \tabularnewline
85 & 218067 & 243353.636123247 & -25286.6361232466 \tabularnewline
86 & 217463 & 221431.684792193 & -3968.68479219259 \tabularnewline
87 & 229438 & 217991.080259478 & 11446.9197405218 \tabularnewline
88 & 216485 & 227914.852493125 & -11429.8524931248 \tabularnewline
89 & 238410 & 218005.876508571 & 20404.1234914293 \tabularnewline
90 & 223108 & 235694.991025496 & -12586.991025496 \tabularnewline
91 & 221267 & 224782.847420453 & -3515.84742045292 \tabularnewline
92 & 224802 & 221734.824913113 & 3067.17508688741 \tabularnewline
93 & 233630 & 224393.876225863 & 9236.12377413677 \tabularnewline
94 & 235134 & 232401.02493783 & 2732.97506217036 \tabularnewline
95 & 309660 & 234770.345475756 & 74889.6545242438 \tabularnewline
96 & 253229 & 299695.049326366 & -46466.0493263661 \tabularnewline
97 & 293530 & 259411.855195119 & 34118.1448048811 \tabularnewline
98 & 273323 & 288990.178949731 & -15667.1789497309 \tabularnewline
99 & 297578 & 275407.702705879 & 22170.2972941206 \tabularnewline
100 & 341589 & 294627.980796958 & 46961.0192030421 \tabularnewline
101 & 389911 & 335340.283232447 & 54570.7167675529 \tabularnewline
102 & 398685 & 382649.723335445 & 16035.2766645555 \tabularnewline
103 & 629637 & 396551.317557272 & 233085.682442728 \tabularnewline
104 & 522502 & 598622.204391347 & -76120.2043913465 \tabularnewline
105 & 358941 & 532630.689828328 & -173689.689828328 \tabularnewline
106 & 252783 & 382052.459154852 & -129269.459154852 \tabularnewline
107 & 236585 & 269983.824229579 & -33398.8242295793 \tabularnewline
108 & 224995 & 241029.106974714 & -16034.1069747142 \tabularnewline
109 & 225721 & 227128.526801717 & -1407.52680171694 \tabularnewline
110 & 223338 & 225908.288020489 & -2570.28802048866 \tabularnewline
111 & 228952 & 223680.007097027 & 5271.99290297288 \tabularnewline
112 & 212759 & 228250.499244474 & -15491.4992444735 \tabularnewline
113 & 200270 & 214820.326451731 & -14550.326451731 \tabularnewline
114 & 211925 & 202206.092325407 & 9718.90767459298 \tabularnewline
115 & 191206 & 210631.784853072 & -19425.7848530725 \tabularnewline
116 & 200511 & 193790.829494638 & 6720.17050536233 \tabularnewline
117 & 205944 & 199616.802156122 & 6327.19784387798 \tabularnewline
118 & 289288 & 205102.091797631 & 84185.9082023693 \tabularnewline
119 & 186209 & 278086.073272189 & -91877.0732721887 \tabularnewline
120 & 197515 & 198434.326836016 & -919.326836016087 \tabularnewline
121 & 182038 & 197637.327264454 & -15599.3272644539 \tabularnewline
122 & 181606 & 184113.674239916 & -2507.67423991568 \tabularnewline
123 & 223337 & 181939.675595983 & 41397.3244040175 \tabularnewline
124 & 201213 & 217828.598361254 & -16615.5983612541 \tabularnewline
125 & 220700 & 203423.901080191 & 17276.0989198086 \tabularnewline
126 & 194043 & 218401.211540334 & -24358.2115403339 \tabularnewline
127 & 224593 & 197284.14696535 & 27308.8530346499 \tabularnewline
128 & 249907 & 220959.235427676 & 28947.7645723243 \tabularnewline
129 & 238613 & 246055.158942544 & -7442.15894254396 \tabularnewline
130 & 266200 & 239603.266909881 & 26596.7330901188 \tabularnewline
131 & 274197 & 262660.991374489 & 11536.008625511 \tabularnewline
132 & 288601 & 272661.998167582 & 15939.0018324176 \tabularnewline
133 & 242662 & 286480.128057727 & -43818.1280577268 \tabularnewline
134 & 232105 & 248492.518079969 & -16387.5180799688 \tabularnewline
135 & 267842 & 234285.552312166 & 33556.4476878337 \tabularnewline
136 & 219037 & 263376.919367489 & -44339.919367489 \tabularnewline
137 & 198404 & 224936.94856001 & -26532.9485600097 \tabularnewline
138 & 203910 & 201934.52134245 & 1975.47865754983 \tabularnewline
139 & 209685 & 203647.139295082 & 6037.8607049179 \tabularnewline
140 & 214274 & 208881.591512125 & 5392.40848787467 \tabularnewline
141 & 215376 & 213556.476532505 & 1819.52346749522 \tabularnewline
142 & 217711 & 215133.890970144 & 2577.10902985593 \tabularnewline
143 & 224819 & 217368.085287331 & 7450.91471266939 \tabularnewline
144 & 217142 & 223827.568031768 & -6685.56803176773 \tabularnewline
145 & 221445 & 218031.593577177 & 3413.40642282277 \tabularnewline
146 & 213483 & 220990.806068294 & -7507.80606829369 \tabularnewline
147 & 282063 & 214482.002033232 & 67580.9979667681 \tabularnewline
148 & 236194 & 273070.552171364 & -36876.5521713645 \tabularnewline
149 & 297296 & 241100.859642174 & 56195.1403578264 \tabularnewline
150 & 255885 & 289818.574642371 & -33933.5746423707 \tabularnewline
151 & 264502 & 260400.261816061 & 4101.73818393925 \tabularnewline
152 & 311580 & 263956.215419489 & 47623.7845805108 \tabularnewline
153 & 416595 & 305243.094492138 & 111351.905507862 \tabularnewline
154 & 356762 & 401778.317337353 & -45016.317337353 \tabularnewline
155 & 537286 & 362751.951277318 & 174534.048722682 \tabularnewline
156 & 532855 & 514062.188948393 & 18792.8110516068 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294835&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]234585[/C][C]283411[/C][C]-48826[/C][/ROW]
[ROW][C]3[/C][C]207695[/C][C]241081.874430544[/C][C]-33386.8744305442[/C][/ROW]
[ROW][C]4[/C][C]204000[/C][C]212137.516913194[/C][C]-8137.51691319366[/C][/ROW]
[ROW][C]5[/C][C]220791[/C][C]205082.792478627[/C][C]15708.2075213729[/C][/ROW]
[ROW][C]6[/C][C]222335[/C][C]218700.83795938[/C][C]3634.16204061953[/C][/ROW]
[ROW][C]7[/C][C]303510[/C][C]221851.431933024[/C][C]81658.5680669757[/C][/ROW]
[ROW][C]8[/C][C]201602[/C][C]292644.365647213[/C][C]-91042.3656472128[/C][/ROW]
[ROW][C]9[/C][C]218279[/C][C]213716.259154336[/C][C]4562.7408456635[/C][/ROW]
[ROW][C]10[/C][C]207253[/C][C]217671.873585111[/C][C]-10418.8735851106[/C][/ROW]
[ROW][C]11[/C][C]217639[/C][C]208639.353856351[/C][C]8999.64614364936[/C][/ROW]
[ROW][C]12[/C][C]231043[/C][C]216441.49107208[/C][C]14601.50892792[/C][/ROW]
[ROW][C]13[/C][C]302988[/C][C]229100.097243248[/C][C]73887.9027567519[/C][/ROW]
[ROW][C]14[/C][C]221415[/C][C]293156.344198851[/C][C]-71741.3441988514[/C][/ROW]
[ROW][C]15[/C][C]213989[/C][C]230961.030900307[/C][C]-16972.030900307[/C][/ROW]
[ROW][C]16[/C][C]190507[/C][C]216247.328627998[/C][C]-25740.3286279976[/C][/ROW]
[ROW][C]17[/C][C]199397[/C][C]193932.053924078[/C][C]5464.94607592179[/C][/ROW]
[ROW][C]18[/C][C]201077[/C][C]198669.824551981[/C][C]2407.17544801865[/C][/ROW]
[ROW][C]19[/C][C]261048[/C][C]200756.696952073[/C][C]60291.3030479267[/C][/ROW]
[ROW][C]20[/C][C]241508[/C][C]253025.53194699[/C][C]-11517.53194699[/C][/ROW]
[ROW][C]21[/C][C]194637[/C][C]243040.5432927[/C][C]-48403.5432927001[/C][/ROW]
[ROW][C]22[/C][C]240044[/C][C]201077.661589442[/C][C]38966.3384105582[/C][/ROW]
[ROW][C]23[/C][C]253534[/C][C]234859.069682721[/C][C]18674.9303172795[/C][/ROW]
[ROW][C]24[/C][C]269220[/C][C]251049.080545805[/C][C]18170.9194541951[/C][/ROW]
[ROW][C]25[/C][C]270820[/C][C]266802.145127976[/C][C]4017.85487202392[/C][/ROW]
[ROW][C]26[/C][C]354121[/C][C]270285.377082217[/C][C]83835.6229177833[/C][/ROW]
[ROW][C]27[/C][C]315233[/C][C]342965.682855378[/C][C]-27732.6828553784[/C][/ROW]
[ROW][C]28[/C][C]297098[/C][C]318923.160122343[/C][C]-21825.1601223426[/C][/ROW]
[ROW][C]29[/C][C]258289[/C][C]300002.094636902[/C][C]-41713.0946369021[/C][/ROW]
[ROW][C]30[/C][C]276246[/C][C]263839.418587747[/C][C]12406.5814122525[/C][/ROW]
[ROW][C]31[/C][C]246652[/C][C]274595.158203668[/C][C]-27943.1582036676[/C][/ROW]
[ROW][C]32[/C][C]242945[/C][C]250370.166346661[/C][C]-7425.16634666082[/C][/ROW]
[ROW][C]33[/C][C]210838[/C][C]243933.00584484[/C][C]-33095.00584484[/C][/ROW]
[ROW][C]34[/C][C]246343[/C][C]215241.680359891[/C][C]31101.3196401087[/C][/ROW]
[ROW][C]35[/C][C]234636[/C][C]242204.603073649[/C][C]-7568.6030736492[/C][/ROW]
[ROW][C]36[/C][C]229011[/C][C]235643.091790934[/C][C]-6632.09179093374[/C][/ROW]
[ROW][C]37[/C][C]238756[/C][C]229893.477933428[/C][C]8862.5220665723[/C][/ROW]
[ROW][C]38[/C][C]283696[/C][C]237576.737045745[/C][C]46119.2629542549[/C][/ROW]
[ROW][C]39[/C][C]226656[/C][C]277559.288816552[/C][C]-50903.2888165518[/C][/ROW]
[ROW][C]40[/C][C]229790[/C][C]233429.282176358[/C][C]-3639.28217635816[/C][/ROW]
[ROW][C]41[/C][C]219831[/C][C]230274.249361347[/C][C]-10443.2493613467[/C][/ROW]
[ROW][C]42[/C][C]232331[/C][C]221220.597340506[/C][C]11110.4026594943[/C][/ROW]
[ROW][C]43[/C][C]315447[/C][C]230852.630054653[/C][C]84594.3699453471[/C][/ROW]
[ROW][C]44[/C][C]251031[/C][C]304190.722625939[/C][C]-53159.7226259385[/C][/ROW]
[ROW][C]45[/C][C]297019[/C][C]258104.527273651[/C][C]38914.472726349[/C][/ROW]
[ROW][C]46[/C][C]208424[/C][C]291840.97102294[/C][C]-83416.9710229401[/C][/ROW]
[ROW][C]47[/C][C]311626[/C][C]219523.610578634[/C][C]92102.3894213659[/C][/ROW]
[ROW][C]48[/C][C]352320[/C][C]299370.692196295[/C][C]52949.3078037049[/C][/ROW]
[ROW][C]49[/C][C]375214[/C][C]345274.470896963[/C][C]29939.5291030374[/C][/ROW]
[ROW][C]50[/C][C]419501[/C][C]371230.192989554[/C][C]48270.8070104464[/C][/ROW]
[ROW][C]51[/C][C]664867[/C][C]413078.000536437[/C][C]251788.999463563[/C][/ROW]
[ROW][C]52[/C][C]483142[/C][C]631363.507751871[/C][C]-148221.507751871[/C][/ROW]
[ROW][C]53[/C][C]312717[/C][C]502864.617535122[/C][C]-190147.617535122[/C][/ROW]
[ROW][C]54[/C][C]228228[/C][C]338018.380297236[/C][C]-109790.380297236[/C][/ROW]
[ROW][C]55[/C][C]230978[/C][C]242836.903339877[/C][C]-11858.903339877[/C][/ROW]
[ROW][C]56[/C][C]218033[/C][C]232555.966777601[/C][C]-14522.9667776009[/C][/ROW]
[ROW][C]57[/C][C]225566[/C][C]219965.451798489[/C][C]5600.54820151071[/C][/ROW]
[ROW][C]58[/C][C]207708[/C][C]224820.781091889[/C][C]-17112.781091889[/C][/ROW]
[ROW][C]59[/C][C]241861[/C][C]209985.05709891[/C][C]31875.9429010897[/C][/ROW]
[ROW][C]60[/C][C]208381[/C][C]237619.530324344[/C][C]-29238.5303243441[/C][/ROW]
[ROW][C]61[/C][C]209071[/C][C]212271.530865746[/C][C]-3200.53086574617[/C][/ROW]
[ROW][C]62[/C][C]214514[/C][C]209496.868331336[/C][C]5017.13166866355[/C][/ROW]
[ROW][C]63[/C][C]195868[/C][C]213846.411533756[/C][C]-17978.4115337563[/C][/ROW]
[ROW][C]64[/C][C]190208[/C][C]198260.239425623[/C][C]-8052.23942562286[/C][/ROW]
[ROW][C]65[/C][C]187651[/C][C]191279.445304406[/C][C]-3628.44530440646[/C][/ROW]
[ROW][C]66[/C][C]215934[/C][C]188133.807387884[/C][C]27800.192612116[/C][/ROW]
[ROW][C]67[/C][C]213012[/C][C]212234.856909313[/C][C]777.143090686528[/C][/ROW]
[ROW][C]68[/C][C]236845[/C][C]212908.591957671[/C][C]23936.408042329[/C][/ROW]
[ROW][C]69[/C][C]154595[/C][C]233659.978958561[/C][C]-79064.9789585614[/C][/ROW]
[ROW][C]70[/C][C]193485[/C][C]165115.526771544[/C][C]28369.4732284563[/C][/ROW]
[ROW][C]71[/C][C]231875[/C][C]189710.107417647[/C][C]42164.892582353[/C][/ROW]
[ROW][C]72[/C][C]192259[/C][C]226264.464373798[/C][C]-34005.4643737981[/C][/ROW]
[ROW][C]73[/C][C]191609[/C][C]196783.82759163[/C][C]-5174.8275916297[/C][/ROW]
[ROW][C]74[/C][C]212911[/C][C]192297.571766324[/C][C]20613.428233676[/C][/ROW]
[ROW][C]75[/C][C]238596[/C][C]210168.140564101[/C][C]28427.8594358995[/C][/ROW]
[ROW][C]76[/C][C]203033[/C][C]234813.338445005[/C][C]-31780.3384450047[/C][/ROW]
[ROW][C]77[/C][C]258272[/C][C]207261.748376631[/C][C]51010.2516233689[/C][/ROW]
[ROW][C]78[/C][C]314681[/C][C]251484.48516226[/C][C]63196.51483774[/C][/ROW]
[ROW][C]79[/C][C]289789[/C][C]306271.959297325[/C][C]-16482.9592973248[/C][/ROW]
[ROW][C]80[/C][C]297541[/C][C]291982.251890355[/C][C]5558.74810964463[/C][/ROW]
[ROW][C]81[/C][C]239578[/C][C]296801.343086483[/C][C]-57223.3430864829[/C][/ROW]
[ROW][C]82[/C][C]207798[/C][C]247192.239842068[/C][C]-39394.2398420683[/C][/ROW]
[ROW][C]83[/C][C]254091[/C][C]213039.867643073[/C][C]41051.1323569275[/C][/ROW]
[ROW][C]84[/C][C]242544[/C][C]248628.66329098[/C][C]-6084.66329098004[/C][/ROW]
[ROW][C]85[/C][C]218067[/C][C]243353.636123247[/C][C]-25286.6361232466[/C][/ROW]
[ROW][C]86[/C][C]217463[/C][C]221431.684792193[/C][C]-3968.68479219259[/C][/ROW]
[ROW][C]87[/C][C]229438[/C][C]217991.080259478[/C][C]11446.9197405218[/C][/ROW]
[ROW][C]88[/C][C]216485[/C][C]227914.852493125[/C][C]-11429.8524931248[/C][/ROW]
[ROW][C]89[/C][C]238410[/C][C]218005.876508571[/C][C]20404.1234914293[/C][/ROW]
[ROW][C]90[/C][C]223108[/C][C]235694.991025496[/C][C]-12586.991025496[/C][/ROW]
[ROW][C]91[/C][C]221267[/C][C]224782.847420453[/C][C]-3515.84742045292[/C][/ROW]
[ROW][C]92[/C][C]224802[/C][C]221734.824913113[/C][C]3067.17508688741[/C][/ROW]
[ROW][C]93[/C][C]233630[/C][C]224393.876225863[/C][C]9236.12377413677[/C][/ROW]
[ROW][C]94[/C][C]235134[/C][C]232401.02493783[/C][C]2732.97506217036[/C][/ROW]
[ROW][C]95[/C][C]309660[/C][C]234770.345475756[/C][C]74889.6545242438[/C][/ROW]
[ROW][C]96[/C][C]253229[/C][C]299695.049326366[/C][C]-46466.0493263661[/C][/ROW]
[ROW][C]97[/C][C]293530[/C][C]259411.855195119[/C][C]34118.1448048811[/C][/ROW]
[ROW][C]98[/C][C]273323[/C][C]288990.178949731[/C][C]-15667.1789497309[/C][/ROW]
[ROW][C]99[/C][C]297578[/C][C]275407.702705879[/C][C]22170.2972941206[/C][/ROW]
[ROW][C]100[/C][C]341589[/C][C]294627.980796958[/C][C]46961.0192030421[/C][/ROW]
[ROW][C]101[/C][C]389911[/C][C]335340.283232447[/C][C]54570.7167675529[/C][/ROW]
[ROW][C]102[/C][C]398685[/C][C]382649.723335445[/C][C]16035.2766645555[/C][/ROW]
[ROW][C]103[/C][C]629637[/C][C]396551.317557272[/C][C]233085.682442728[/C][/ROW]
[ROW][C]104[/C][C]522502[/C][C]598622.204391347[/C][C]-76120.2043913465[/C][/ROW]
[ROW][C]105[/C][C]358941[/C][C]532630.689828328[/C][C]-173689.689828328[/C][/ROW]
[ROW][C]106[/C][C]252783[/C][C]382052.459154852[/C][C]-129269.459154852[/C][/ROW]
[ROW][C]107[/C][C]236585[/C][C]269983.824229579[/C][C]-33398.8242295793[/C][/ROW]
[ROW][C]108[/C][C]224995[/C][C]241029.106974714[/C][C]-16034.1069747142[/C][/ROW]
[ROW][C]109[/C][C]225721[/C][C]227128.526801717[/C][C]-1407.52680171694[/C][/ROW]
[ROW][C]110[/C][C]223338[/C][C]225908.288020489[/C][C]-2570.28802048866[/C][/ROW]
[ROW][C]111[/C][C]228952[/C][C]223680.007097027[/C][C]5271.99290297288[/C][/ROW]
[ROW][C]112[/C][C]212759[/C][C]228250.499244474[/C][C]-15491.4992444735[/C][/ROW]
[ROW][C]113[/C][C]200270[/C][C]214820.326451731[/C][C]-14550.326451731[/C][/ROW]
[ROW][C]114[/C][C]211925[/C][C]202206.092325407[/C][C]9718.90767459298[/C][/ROW]
[ROW][C]115[/C][C]191206[/C][C]210631.784853072[/C][C]-19425.7848530725[/C][/ROW]
[ROW][C]116[/C][C]200511[/C][C]193790.829494638[/C][C]6720.17050536233[/C][/ROW]
[ROW][C]117[/C][C]205944[/C][C]199616.802156122[/C][C]6327.19784387798[/C][/ROW]
[ROW][C]118[/C][C]289288[/C][C]205102.091797631[/C][C]84185.9082023693[/C][/ROW]
[ROW][C]119[/C][C]186209[/C][C]278086.073272189[/C][C]-91877.0732721887[/C][/ROW]
[ROW][C]120[/C][C]197515[/C][C]198434.326836016[/C][C]-919.326836016087[/C][/ROW]
[ROW][C]121[/C][C]182038[/C][C]197637.327264454[/C][C]-15599.3272644539[/C][/ROW]
[ROW][C]122[/C][C]181606[/C][C]184113.674239916[/C][C]-2507.67423991568[/C][/ROW]
[ROW][C]123[/C][C]223337[/C][C]181939.675595983[/C][C]41397.3244040175[/C][/ROW]
[ROW][C]124[/C][C]201213[/C][C]217828.598361254[/C][C]-16615.5983612541[/C][/ROW]
[ROW][C]125[/C][C]220700[/C][C]203423.901080191[/C][C]17276.0989198086[/C][/ROW]
[ROW][C]126[/C][C]194043[/C][C]218401.211540334[/C][C]-24358.2115403339[/C][/ROW]
[ROW][C]127[/C][C]224593[/C][C]197284.14696535[/C][C]27308.8530346499[/C][/ROW]
[ROW][C]128[/C][C]249907[/C][C]220959.235427676[/C][C]28947.7645723243[/C][/ROW]
[ROW][C]129[/C][C]238613[/C][C]246055.158942544[/C][C]-7442.15894254396[/C][/ROW]
[ROW][C]130[/C][C]266200[/C][C]239603.266909881[/C][C]26596.7330901188[/C][/ROW]
[ROW][C]131[/C][C]274197[/C][C]262660.991374489[/C][C]11536.008625511[/C][/ROW]
[ROW][C]132[/C][C]288601[/C][C]272661.998167582[/C][C]15939.0018324176[/C][/ROW]
[ROW][C]133[/C][C]242662[/C][C]286480.128057727[/C][C]-43818.1280577268[/C][/ROW]
[ROW][C]134[/C][C]232105[/C][C]248492.518079969[/C][C]-16387.5180799688[/C][/ROW]
[ROW][C]135[/C][C]267842[/C][C]234285.552312166[/C][C]33556.4476878337[/C][/ROW]
[ROW][C]136[/C][C]219037[/C][C]263376.919367489[/C][C]-44339.919367489[/C][/ROW]
[ROW][C]137[/C][C]198404[/C][C]224936.94856001[/C][C]-26532.9485600097[/C][/ROW]
[ROW][C]138[/C][C]203910[/C][C]201934.52134245[/C][C]1975.47865754983[/C][/ROW]
[ROW][C]139[/C][C]209685[/C][C]203647.139295082[/C][C]6037.8607049179[/C][/ROW]
[ROW][C]140[/C][C]214274[/C][C]208881.591512125[/C][C]5392.40848787467[/C][/ROW]
[ROW][C]141[/C][C]215376[/C][C]213556.476532505[/C][C]1819.52346749522[/C][/ROW]
[ROW][C]142[/C][C]217711[/C][C]215133.890970144[/C][C]2577.10902985593[/C][/ROW]
[ROW][C]143[/C][C]224819[/C][C]217368.085287331[/C][C]7450.91471266939[/C][/ROW]
[ROW][C]144[/C][C]217142[/C][C]223827.568031768[/C][C]-6685.56803176773[/C][/ROW]
[ROW][C]145[/C][C]221445[/C][C]218031.593577177[/C][C]3413.40642282277[/C][/ROW]
[ROW][C]146[/C][C]213483[/C][C]220990.806068294[/C][C]-7507.80606829369[/C][/ROW]
[ROW][C]147[/C][C]282063[/C][C]214482.002033232[/C][C]67580.9979667681[/C][/ROW]
[ROW][C]148[/C][C]236194[/C][C]273070.552171364[/C][C]-36876.5521713645[/C][/ROW]
[ROW][C]149[/C][C]297296[/C][C]241100.859642174[/C][C]56195.1403578264[/C][/ROW]
[ROW][C]150[/C][C]255885[/C][C]289818.574642371[/C][C]-33933.5746423707[/C][/ROW]
[ROW][C]151[/C][C]264502[/C][C]260400.261816061[/C][C]4101.73818393925[/C][/ROW]
[ROW][C]152[/C][C]311580[/C][C]263956.215419489[/C][C]47623.7845805108[/C][/ROW]
[ROW][C]153[/C][C]416595[/C][C]305243.094492138[/C][C]111351.905507862[/C][/ROW]
[ROW][C]154[/C][C]356762[/C][C]401778.317337353[/C][C]-45016.317337353[/C][/ROW]
[ROW][C]155[/C][C]537286[/C][C]362751.951277318[/C][C]174534.048722682[/C][/ROW]
[ROW][C]156[/C][C]532855[/C][C]514062.188948393[/C][C]18792.8110516068[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294835&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294835&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
2234585283411-48826
3207695241081.874430544-33386.8744305442
4204000212137.516913194-8137.51691319366
5220791205082.79247862715708.2075213729
6222335218700.837959383634.16204061953
7303510221851.43193302481658.5680669757
8201602292644.365647213-91042.3656472128
9218279213716.2591543364562.7408456635
10207253217671.873585111-10418.8735851106
11217639208639.3538563518999.64614364936
12231043216441.4910720814601.50892792
13302988229100.09724324873887.9027567519
14221415293156.344198851-71741.3441988514
15213989230961.030900307-16972.030900307
16190507216247.328627998-25740.3286279976
17199397193932.0539240785464.94607592179
18201077198669.8245519812407.17544801865
19261048200756.69695207360291.3030479267
20241508253025.53194699-11517.53194699
21194637243040.5432927-48403.5432927001
22240044201077.66158944238966.3384105582
23253534234859.06968272118674.9303172795
24269220251049.08054580518170.9194541951
25270820266802.1451279764017.85487202392
26354121270285.37708221783835.6229177833
27315233342965.682855378-27732.6828553784
28297098318923.160122343-21825.1601223426
29258289300002.094636902-41713.0946369021
30276246263839.41858774712406.5814122525
31246652274595.158203668-27943.1582036676
32242945250370.166346661-7425.16634666082
33210838243933.00584484-33095.00584484
34246343215241.68035989131101.3196401087
35234636242204.603073649-7568.6030736492
36229011235643.091790934-6632.09179093374
37238756229893.4779334288862.5220665723
38283696237576.73704574546119.2629542549
39226656277559.288816552-50903.2888165518
40229790233429.282176358-3639.28217635816
41219831230274.249361347-10443.2493613467
42232331221220.59734050611110.4026594943
43315447230852.63005465384594.3699453471
44251031304190.722625939-53159.7226259385
45297019258104.52727365138914.472726349
46208424291840.97102294-83416.9710229401
47311626219523.61057863492102.3894213659
48352320299370.69219629552949.3078037049
49375214345274.47089696329939.5291030374
50419501371230.19298955448270.8070104464
51664867413078.000536437251788.999463563
52483142631363.507751871-148221.507751871
53312717502864.617535122-190147.617535122
54228228338018.380297236-109790.380297236
55230978242836.903339877-11858.903339877
56218033232555.966777601-14522.9667776009
57225566219965.4517984895600.54820151071
58207708224820.781091889-17112.781091889
59241861209985.0570989131875.9429010897
60208381237619.530324344-29238.5303243441
61209071212271.530865746-3200.53086574617
62214514209496.8683313365017.13166866355
63195868213846.411533756-17978.4115337563
64190208198260.239425623-8052.23942562286
65187651191279.445304406-3628.44530440646
66215934188133.80738788427800.192612116
67213012212234.856909313777.143090686528
68236845212908.59195767123936.408042329
69154595233659.978958561-79064.9789585614
70193485165115.52677154428369.4732284563
71231875189710.10741764742164.892582353
72192259226264.464373798-34005.4643737981
73191609196783.82759163-5174.8275916297
74212911192297.57176632420613.428233676
75238596210168.14056410128427.8594358995
76203033234813.338445005-31780.3384450047
77258272207261.74837663151010.2516233689
78314681251484.4851622663196.51483774
79289789306271.959297325-16482.9592973248
80297541291982.2518903555558.74810964463
81239578296801.343086483-57223.3430864829
82207798247192.239842068-39394.2398420683
83254091213039.86764307341051.1323569275
84242544248628.66329098-6084.66329098004
85218067243353.636123247-25286.6361232466
86217463221431.684792193-3968.68479219259
87229438217991.08025947811446.9197405218
88216485227914.852493125-11429.8524931248
89238410218005.87650857120404.1234914293
90223108235694.991025496-12586.991025496
91221267224782.847420453-3515.84742045292
92224802221734.8249131133067.17508688741
93233630224393.8762258639236.12377413677
94235134232401.024937832732.97506217036
95309660234770.34547575674889.6545242438
96253229299695.049326366-46466.0493263661
97293530259411.85519511934118.1448048811
98273323288990.178949731-15667.1789497309
99297578275407.70270587922170.2972941206
100341589294627.98079695846961.0192030421
101389911335340.28323244754570.7167675529
102398685382649.72333544516035.2766645555
103629637396551.317557272233085.682442728
104522502598622.204391347-76120.2043913465
105358941532630.689828328-173689.689828328
106252783382052.459154852-129269.459154852
107236585269983.824229579-33398.8242295793
108224995241029.106974714-16034.1069747142
109225721227128.526801717-1407.52680171694
110223338225908.288020489-2570.28802048866
111228952223680.0070970275271.99290297288
112212759228250.499244474-15491.4992444735
113200270214820.326451731-14550.326451731
114211925202206.0923254079718.90767459298
115191206210631.784853072-19425.7848530725
116200511193790.8294946386720.17050536233
117205944199616.8021561226327.19784387798
118289288205102.09179763184185.9082023693
119186209278086.073272189-91877.0732721887
120197515198434.326836016-919.326836016087
121182038197637.327264454-15599.3272644539
122181606184113.674239916-2507.67423991568
123223337181939.67559598341397.3244040175
124201213217828.598361254-16615.5983612541
125220700203423.90108019117276.0989198086
126194043218401.211540334-24358.2115403339
127224593197284.1469653527308.8530346499
128249907220959.23542767628947.7645723243
129238613246055.158942544-7442.15894254396
130266200239603.26690988126596.7330901188
131274197262660.99137448911536.008625511
132288601272661.99816758215939.0018324176
133242662286480.128057727-43818.1280577268
134232105248492.518079969-16387.5180799688
135267842234285.55231216633556.4476878337
136219037263376.919367489-44339.919367489
137198404224936.94856001-26532.9485600097
138203910201934.521342451975.47865754983
139209685203647.1392950826037.8607049179
140214274208881.5915121255392.40848787467
141215376213556.4765325051819.52346749522
142217711215133.8909701442577.10902985593
143224819217368.0852873317450.91471266939
144217142223827.568031768-6685.56803176773
145221445218031.5935771773413.40642282277
146213483220990.806068294-7507.80606829369
147282063214482.00203323267580.9979667681
148236194273070.552171364-36876.5521713645
149297296241100.85964217456195.1403578264
150255885289818.574642371-33933.5746423707
151264502260400.2618160614101.73818393925
152311580263956.21541948947623.7845805108
153416595305243.094492138111351.905507862
154356762401778.317337353-45016.317337353
155537286362751.951277318174534.048722682
156532855514062.18894839318792.8110516068







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
157530354.395125564422664.699365221638044.090885906
158530354.395125564387829.945778499672878.844472628
159530354.395125564359974.32953568700734.460715447
160530354.395125564336072.345416534724636.444834593
161530354.395125564314804.718883935745904.071367192
162530354.395125564295454.818675116765253.971576012
163530354.395125564277581.850917675783126.939333452
164530354.395125564260891.768414441799817.021836686
165530354.395125564245176.809605967815531.98064516
166530354.395125564230283.73116203830425.059089097
167530354.395125564216095.661817729844613.128433398
168530354.395125564202521.05400698858187.736244147

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
157 & 530354.395125564 & 422664.699365221 & 638044.090885906 \tabularnewline
158 & 530354.395125564 & 387829.945778499 & 672878.844472628 \tabularnewline
159 & 530354.395125564 & 359974.32953568 & 700734.460715447 \tabularnewline
160 & 530354.395125564 & 336072.345416534 & 724636.444834593 \tabularnewline
161 & 530354.395125564 & 314804.718883935 & 745904.071367192 \tabularnewline
162 & 530354.395125564 & 295454.818675116 & 765253.971576012 \tabularnewline
163 & 530354.395125564 & 277581.850917675 & 783126.939333452 \tabularnewline
164 & 530354.395125564 & 260891.768414441 & 799817.021836686 \tabularnewline
165 & 530354.395125564 & 245176.809605967 & 815531.98064516 \tabularnewline
166 & 530354.395125564 & 230283.73116203 & 830425.059089097 \tabularnewline
167 & 530354.395125564 & 216095.661817729 & 844613.128433398 \tabularnewline
168 & 530354.395125564 & 202521.05400698 & 858187.736244147 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294835&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]157[/C][C]530354.395125564[/C][C]422664.699365221[/C][C]638044.090885906[/C][/ROW]
[ROW][C]158[/C][C]530354.395125564[/C][C]387829.945778499[/C][C]672878.844472628[/C][/ROW]
[ROW][C]159[/C][C]530354.395125564[/C][C]359974.32953568[/C][C]700734.460715447[/C][/ROW]
[ROW][C]160[/C][C]530354.395125564[/C][C]336072.345416534[/C][C]724636.444834593[/C][/ROW]
[ROW][C]161[/C][C]530354.395125564[/C][C]314804.718883935[/C][C]745904.071367192[/C][/ROW]
[ROW][C]162[/C][C]530354.395125564[/C][C]295454.818675116[/C][C]765253.971576012[/C][/ROW]
[ROW][C]163[/C][C]530354.395125564[/C][C]277581.850917675[/C][C]783126.939333452[/C][/ROW]
[ROW][C]164[/C][C]530354.395125564[/C][C]260891.768414441[/C][C]799817.021836686[/C][/ROW]
[ROW][C]165[/C][C]530354.395125564[/C][C]245176.809605967[/C][C]815531.98064516[/C][/ROW]
[ROW][C]166[/C][C]530354.395125564[/C][C]230283.73116203[/C][C]830425.059089097[/C][/ROW]
[ROW][C]167[/C][C]530354.395125564[/C][C]216095.661817729[/C][C]844613.128433398[/C][/ROW]
[ROW][C]168[/C][C]530354.395125564[/C][C]202521.05400698[/C][C]858187.736244147[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294835&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294835&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
157530354.395125564422664.699365221638044.090885906
158530354.395125564387829.945778499672878.844472628
159530354.395125564359974.32953568700734.460715447
160530354.395125564336072.345416534724636.444834593
161530354.395125564314804.718883935745904.071367192
162530354.395125564295454.818675116765253.971576012
163530354.395125564277581.850917675783126.939333452
164530354.395125564260891.768414441799817.021836686
165530354.395125564245176.809605967815531.98064516
166530354.395125564230283.73116203830425.059089097
167530354.395125564216095.661817729844613.128433398
168530354.395125564202521.05400698858187.736244147



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')