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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 27 Jan 2009 10:56:21 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/27/t123307902345o7lp3v4bdpryn.htm/, Retrieved Mon, 06 May 2024 07:12:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36993, Retrieved Mon, 06 May 2024 07:12:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact209
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [2MAR03A_Robbe Ley...] [2009-01-15 22:43:12] [73702d50a449ca9a9e8052b5a190ceb8]
- RMPD    [Exponential Smoothing] [Robbe Leys_2MAR03...] [2009-01-27 17:56:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
284.4   
212.8  
226.9   
308.4
262
227.9
236.1
320.4
271.9
232.8
237
313.4
261.4
226.8
249.9
314.3
286.1
226.5
260.4
311.4
294.7
232.6
257.2
339.2
279.1
249.8
269.8
345.7
293.8
254.7
277.5
363.4
313.4
272.8
300.1
369.5
330.8
287.8
305.9
386.1
335.2
288
308.3
402.3
352.8
316.1
324.9
404.8
393
318.9
327
442.3
383.1
331.6
361.4
445.9
386.6
357.2
373.6
466.2
409.6
369.8
378.6
487
419.2
376.7
392.8
506.1
458.4
387.4
426.9
565
464.8
444.5
449.5
556.1
499.6
451.9
434.9
553.8
510
432.9
453.2
547.6
485.8
452.6
456.6
565.7
514.8
464.3
430.9
588.3
503.1
442.6
448
554.5
504.5
427.3
473.1
526.2
547.5
440.2
468.7
574.5
492.6
432.6
479.8
575.7
474.6
405.3
434.6
535.1
452.6
429.5
417.2
551.8
464
416.6
422.9
553.6
458.6
427.6
429.2
534.2
481.7
416
440.2
538.7
473.8
439.9
446.8
597.5
467.2
439.4
447.4
568.5
485.9
442.1
430.5
600
464.5
423.6
437
574
443
410
420
532
432
420
411
512




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36993&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36993&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36993&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.229158941249302
beta0.612253088934732
gamma0

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.229158941249302 \tabularnewline
beta & 0.612253088934732 \tabularnewline
gamma & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36993&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]0.229158941249302[/C][/ROW]
[ROW][C]beta[/C][C]0.612253088934732[/C][/ROW]
[ROW][C]gamma[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36993&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36993&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
alpha0.229158941249302
beta0.612253088934732
gamma0







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3226.9141.285.7
4308.4101.262911472947207.137088527052
5262118.216228364565143.783771635435
6227.9140.82489951384587.0751004861552
7236.1162.65519292507073.4448070749303
8320.4191.666529299725128.733470700275
9271.9251.40948414480720.4905158551927
10232.8289.222484430925-56.4224844309248
11237301.493923956473-64.4939239564725
12313.4302.86701254318110.5329874568185
13261.4322.911001293801-61.5110012938015
14226.8317.815271258793-91.0152712587929
15249.9293.188633811775-43.2886338117754
16314.3273.42544520959940.8745547904006
17286.1278.6838374817097.41616251829095
18226.5277.315451854313-50.8154518543131
19260.4255.4731970868174.92680291318294
20311.4247.09602496226564.3039750377346
21294.7261.34772068459733.3522793154027
22232.6273.185992423123-40.5859924231231
23257.2262.386300653823-5.18630065382257
24339.2258.97110983187580.2288901681247
25279.1286.38594931522-7.28594931522008
26249.8292.723738327625-42.9237383276248
27269.8284.872468509077-15.0724685090765
28345.7281.28884958127364.4111504187272
29293.8304.956707618449-11.1567076184491
30254.7309.742192758097-55.0421927580972
31277.5296.748326974986-19.2483269749861
32363.4289.25634236832274.1436576316783
33313.4313.568563663855-0.168563663854911
34272.8320.827824972239-48.027824972239
35300.1310.381247753066-10.2812477530664
36369.5307.14214352952262.3578564704778
37330.8329.2979506735001.50204932650047
38287.8337.718847915155-49.9188479151552
39305.9327.352409207821-21.4524092078206
40386.1320.49946630235165.6005336976491
41335.2342.79945299344-7.59945299344042
42288347.258780132505-59.2587801325051
43308.3331.565709951446-23.265709951446
44402.3320.85651844877981.4434815512215
45352.8345.5691611621827.23083883781845
46316.1354.289823575232-38.1898235752318
47324.9347.243777964404-22.3437779644042
48404.8340.69409028429564.1059097157049
49393362.94939024045430.0506097595460
50318.9381.616812518579-62.7168125185789
51327370.226376667461-43.2263766674607
52442.3357.23754647947185.0624535205287
53383.1385.58178914374-2.48178914374
54331.6393.516282715177-61.9162827151768
55361.4379.143773757393-17.7437737573928
56445.9372.4042807108473.4957192891596
57386.6396.884823011544-10.2848230115436
58357.2400.723310645169-43.523310645169
59373.6390.838438855005-17.2384388550051
60466.2384.55837112035681.641628879644
61409.6412.392142488735-2.7921424887345
62369.8420.485413484188-50.6854134841882
63378.6410.492183970628-31.892183970628
64487400.3310133481186.66898665189
65419.2429.499137262103-10.2991372621029
66376.7435.001145932722-58.3011459327217
67392.8421.323223720603-28.523223720603
68506.1410.46727708663295.6327229133678
69458.4441.48035944213216.9196405578679
70387.4456.829516073926-69.4295160739264
71426.9442.649803279729-15.7498032797291
72565438.561527739733126.438472260267
73464.8484.796697946556-19.9966979465557
74444.5494.669337483279-50.1693374832786
75449.5490.588724804648-41.0887248046483
76556.1482.82413327804573.275866721955
77499.6511.548054148655-11.948054148655
78451.9519.065800480587-67.1658004805867
79434.9504.506325109714-69.6063251097144
80553.8479.62158669843774.1784133015634
81510498.09388063198211.9061193680185
82432.9503.96638909457-71.0663890945702
83453.2480.854158613817-27.654158613817
84547.6463.81026003472883.789739965272
85485.8484.0607017418711.73929825812917
86452.6485.752580330857-33.1525803308565
87456.6474.797257546872-18.197257546872
88565.7464.715945965856100.984054034144
89514.8496.11449052562918.6855094743713
90464.3511.275225821811-46.9752258218107
91430.9504.798438761137-73.8984387611374
92588.3481.783764149009106.516235850991
93503.1515.057301516142-11.9573015161418
94442.6519.503919995414-76.9039199954141
95448498.277568723003-50.277568723003
96554.5476.09877663627978.4012233637215
97504.5494.4078282868510.0921717131503
98427.3498.479214672524-71.1792146725242
99473.1473.939859651453-0.839859651452684
100526.2465.40156170003460.7984382999663
101547.5479.51845052987467.9815494701264
102440.2504.819447175985-64.6194471759846
103468.7490.667420101151-21.9674201011511
104574.5483.20738552724491.2926144727558
105492.6514.510552866382-21.9105528663816
106432.6516.798080025309-84.1980800253092
107479.8492.99859748276-13.1985974827598
108575.7483.61747480745792.0825251925433
109474.6511.2819420989-36.6819420989
110405.3504.292283982199-98.9922839821986
111434.6469.134712779112-34.5347127791117
112535.1443.90283722954591.1971627704548
113452.6460.278805280510-7.67880528050949
114429.5452.919099690154-23.4190996901544
115417.2438.666588639452-21.4665886394517
116551.8421.84968037984129.950319620160
117464457.9637652373126.03623476268757
118416.6466.528733076471-49.928733076471
119422.9455.2636636391-32.3636636391
120553.6443.483059090973110.116940909027
121458.6479.802925881605-21.2029258816047
122427.6483.054831206438-55.454831206438
123429.2470.677112035836-41.4771120358357
124534.2455.68313775772578.5168622422751
125481.7479.2030280757032.49697192429682
126416485.652614139696-69.6526141396959
127440.2465.795987947132-25.5959879471321
128538.7452.44413076930386.255869230697
129473.8476.826107237553-3.02610723755322
130439.9480.323747765993-40.4237477659934
131446.8469.579800603168-22.7798006031681
132597.5459.683041185333137.816958814667
133467.2505.92463505687-38.7246350568701
134439.4506.276951276367-66.8769512763666
135447.4490.794857589866-43.3948575898659
136568.5474.60545522559593.894544774405
137485.9503.050858584787-17.1508585847869
138442.1503.642893343059-61.542893343059
139430.5485.427427257277-54.9274272572773
140600461.021456738645138.978543261355
141464.5500.549917154922-36.0499171549222
142423.6494.911119646735-71.3111196467349
143437471.186719060442-34.1867190604417
144574451.173198344680122.826801655320
145443484.373731669252-41.3737316692524
146410474.141374794319-64.141374794319
147420449.692364323455-29.6923643234546
148532428.971716821349103.028283178651
149432453.120397377789-21.1203973777889
150420445.856036932283-25.8560369322827
151411433.878775818879-22.8787758188788
152512419.37381365736792.626186342633

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 226.9 & 141.2 & 85.7 \tabularnewline
4 & 308.4 & 101.262911472947 & 207.137088527052 \tabularnewline
5 & 262 & 118.216228364565 & 143.783771635435 \tabularnewline
6 & 227.9 & 140.824899513845 & 87.0751004861552 \tabularnewline
7 & 236.1 & 162.655192925070 & 73.4448070749303 \tabularnewline
8 & 320.4 & 191.666529299725 & 128.733470700275 \tabularnewline
9 & 271.9 & 251.409484144807 & 20.4905158551927 \tabularnewline
10 & 232.8 & 289.222484430925 & -56.4224844309248 \tabularnewline
11 & 237 & 301.493923956473 & -64.4939239564725 \tabularnewline
12 & 313.4 & 302.867012543181 & 10.5329874568185 \tabularnewline
13 & 261.4 & 322.911001293801 & -61.5110012938015 \tabularnewline
14 & 226.8 & 317.815271258793 & -91.0152712587929 \tabularnewline
15 & 249.9 & 293.188633811775 & -43.2886338117754 \tabularnewline
16 & 314.3 & 273.425445209599 & 40.8745547904006 \tabularnewline
17 & 286.1 & 278.683837481709 & 7.41616251829095 \tabularnewline
18 & 226.5 & 277.315451854313 & -50.8154518543131 \tabularnewline
19 & 260.4 & 255.473197086817 & 4.92680291318294 \tabularnewline
20 & 311.4 & 247.096024962265 & 64.3039750377346 \tabularnewline
21 & 294.7 & 261.347720684597 & 33.3522793154027 \tabularnewline
22 & 232.6 & 273.185992423123 & -40.5859924231231 \tabularnewline
23 & 257.2 & 262.386300653823 & -5.18630065382257 \tabularnewline
24 & 339.2 & 258.971109831875 & 80.2288901681247 \tabularnewline
25 & 279.1 & 286.38594931522 & -7.28594931522008 \tabularnewline
26 & 249.8 & 292.723738327625 & -42.9237383276248 \tabularnewline
27 & 269.8 & 284.872468509077 & -15.0724685090765 \tabularnewline
28 & 345.7 & 281.288849581273 & 64.4111504187272 \tabularnewline
29 & 293.8 & 304.956707618449 & -11.1567076184491 \tabularnewline
30 & 254.7 & 309.742192758097 & -55.0421927580972 \tabularnewline
31 & 277.5 & 296.748326974986 & -19.2483269749861 \tabularnewline
32 & 363.4 & 289.256342368322 & 74.1436576316783 \tabularnewline
33 & 313.4 & 313.568563663855 & -0.168563663854911 \tabularnewline
34 & 272.8 & 320.827824972239 & -48.027824972239 \tabularnewline
35 & 300.1 & 310.381247753066 & -10.2812477530664 \tabularnewline
36 & 369.5 & 307.142143529522 & 62.3578564704778 \tabularnewline
37 & 330.8 & 329.297950673500 & 1.50204932650047 \tabularnewline
38 & 287.8 & 337.718847915155 & -49.9188479151552 \tabularnewline
39 & 305.9 & 327.352409207821 & -21.4524092078206 \tabularnewline
40 & 386.1 & 320.499466302351 & 65.6005336976491 \tabularnewline
41 & 335.2 & 342.79945299344 & -7.59945299344042 \tabularnewline
42 & 288 & 347.258780132505 & -59.2587801325051 \tabularnewline
43 & 308.3 & 331.565709951446 & -23.265709951446 \tabularnewline
44 & 402.3 & 320.856518448779 & 81.4434815512215 \tabularnewline
45 & 352.8 & 345.569161162182 & 7.23083883781845 \tabularnewline
46 & 316.1 & 354.289823575232 & -38.1898235752318 \tabularnewline
47 & 324.9 & 347.243777964404 & -22.3437779644042 \tabularnewline
48 & 404.8 & 340.694090284295 & 64.1059097157049 \tabularnewline
49 & 393 & 362.949390240454 & 30.0506097595460 \tabularnewline
50 & 318.9 & 381.616812518579 & -62.7168125185789 \tabularnewline
51 & 327 & 370.226376667461 & -43.2263766674607 \tabularnewline
52 & 442.3 & 357.237546479471 & 85.0624535205287 \tabularnewline
53 & 383.1 & 385.58178914374 & -2.48178914374 \tabularnewline
54 & 331.6 & 393.516282715177 & -61.9162827151768 \tabularnewline
55 & 361.4 & 379.143773757393 & -17.7437737573928 \tabularnewline
56 & 445.9 & 372.40428071084 & 73.4957192891596 \tabularnewline
57 & 386.6 & 396.884823011544 & -10.2848230115436 \tabularnewline
58 & 357.2 & 400.723310645169 & -43.523310645169 \tabularnewline
59 & 373.6 & 390.838438855005 & -17.2384388550051 \tabularnewline
60 & 466.2 & 384.558371120356 & 81.641628879644 \tabularnewline
61 & 409.6 & 412.392142488735 & -2.7921424887345 \tabularnewline
62 & 369.8 & 420.485413484188 & -50.6854134841882 \tabularnewline
63 & 378.6 & 410.492183970628 & -31.892183970628 \tabularnewline
64 & 487 & 400.33101334811 & 86.66898665189 \tabularnewline
65 & 419.2 & 429.499137262103 & -10.2991372621029 \tabularnewline
66 & 376.7 & 435.001145932722 & -58.3011459327217 \tabularnewline
67 & 392.8 & 421.323223720603 & -28.523223720603 \tabularnewline
68 & 506.1 & 410.467277086632 & 95.6327229133678 \tabularnewline
69 & 458.4 & 441.480359442132 & 16.9196405578679 \tabularnewline
70 & 387.4 & 456.829516073926 & -69.4295160739264 \tabularnewline
71 & 426.9 & 442.649803279729 & -15.7498032797291 \tabularnewline
72 & 565 & 438.561527739733 & 126.438472260267 \tabularnewline
73 & 464.8 & 484.796697946556 & -19.9966979465557 \tabularnewline
74 & 444.5 & 494.669337483279 & -50.1693374832786 \tabularnewline
75 & 449.5 & 490.588724804648 & -41.0887248046483 \tabularnewline
76 & 556.1 & 482.824133278045 & 73.275866721955 \tabularnewline
77 & 499.6 & 511.548054148655 & -11.948054148655 \tabularnewline
78 & 451.9 & 519.065800480587 & -67.1658004805867 \tabularnewline
79 & 434.9 & 504.506325109714 & -69.6063251097144 \tabularnewline
80 & 553.8 & 479.621586698437 & 74.1784133015634 \tabularnewline
81 & 510 & 498.093880631982 & 11.9061193680185 \tabularnewline
82 & 432.9 & 503.96638909457 & -71.0663890945702 \tabularnewline
83 & 453.2 & 480.854158613817 & -27.654158613817 \tabularnewline
84 & 547.6 & 463.810260034728 & 83.789739965272 \tabularnewline
85 & 485.8 & 484.060701741871 & 1.73929825812917 \tabularnewline
86 & 452.6 & 485.752580330857 & -33.1525803308565 \tabularnewline
87 & 456.6 & 474.797257546872 & -18.197257546872 \tabularnewline
88 & 565.7 & 464.715945965856 & 100.984054034144 \tabularnewline
89 & 514.8 & 496.114490525629 & 18.6855094743713 \tabularnewline
90 & 464.3 & 511.275225821811 & -46.9752258218107 \tabularnewline
91 & 430.9 & 504.798438761137 & -73.8984387611374 \tabularnewline
92 & 588.3 & 481.783764149009 & 106.516235850991 \tabularnewline
93 & 503.1 & 515.057301516142 & -11.9573015161418 \tabularnewline
94 & 442.6 & 519.503919995414 & -76.9039199954141 \tabularnewline
95 & 448 & 498.277568723003 & -50.277568723003 \tabularnewline
96 & 554.5 & 476.098776636279 & 78.4012233637215 \tabularnewline
97 & 504.5 & 494.40782828685 & 10.0921717131503 \tabularnewline
98 & 427.3 & 498.479214672524 & -71.1792146725242 \tabularnewline
99 & 473.1 & 473.939859651453 & -0.839859651452684 \tabularnewline
100 & 526.2 & 465.401561700034 & 60.7984382999663 \tabularnewline
101 & 547.5 & 479.518450529874 & 67.9815494701264 \tabularnewline
102 & 440.2 & 504.819447175985 & -64.6194471759846 \tabularnewline
103 & 468.7 & 490.667420101151 & -21.9674201011511 \tabularnewline
104 & 574.5 & 483.207385527244 & 91.2926144727558 \tabularnewline
105 & 492.6 & 514.510552866382 & -21.9105528663816 \tabularnewline
106 & 432.6 & 516.798080025309 & -84.1980800253092 \tabularnewline
107 & 479.8 & 492.99859748276 & -13.1985974827598 \tabularnewline
108 & 575.7 & 483.617474807457 & 92.0825251925433 \tabularnewline
109 & 474.6 & 511.2819420989 & -36.6819420989 \tabularnewline
110 & 405.3 & 504.292283982199 & -98.9922839821986 \tabularnewline
111 & 434.6 & 469.134712779112 & -34.5347127791117 \tabularnewline
112 & 535.1 & 443.902837229545 & 91.1971627704548 \tabularnewline
113 & 452.6 & 460.278805280510 & -7.67880528050949 \tabularnewline
114 & 429.5 & 452.919099690154 & -23.4190996901544 \tabularnewline
115 & 417.2 & 438.666588639452 & -21.4665886394517 \tabularnewline
116 & 551.8 & 421.84968037984 & 129.950319620160 \tabularnewline
117 & 464 & 457.963765237312 & 6.03623476268757 \tabularnewline
118 & 416.6 & 466.528733076471 & -49.928733076471 \tabularnewline
119 & 422.9 & 455.2636636391 & -32.3636636391 \tabularnewline
120 & 553.6 & 443.483059090973 & 110.116940909027 \tabularnewline
121 & 458.6 & 479.802925881605 & -21.2029258816047 \tabularnewline
122 & 427.6 & 483.054831206438 & -55.454831206438 \tabularnewline
123 & 429.2 & 470.677112035836 & -41.4771120358357 \tabularnewline
124 & 534.2 & 455.683137757725 & 78.5168622422751 \tabularnewline
125 & 481.7 & 479.203028075703 & 2.49697192429682 \tabularnewline
126 & 416 & 485.652614139696 & -69.6526141396959 \tabularnewline
127 & 440.2 & 465.795987947132 & -25.5959879471321 \tabularnewline
128 & 538.7 & 452.444130769303 & 86.255869230697 \tabularnewline
129 & 473.8 & 476.826107237553 & -3.02610723755322 \tabularnewline
130 & 439.9 & 480.323747765993 & -40.4237477659934 \tabularnewline
131 & 446.8 & 469.579800603168 & -22.7798006031681 \tabularnewline
132 & 597.5 & 459.683041185333 & 137.816958814667 \tabularnewline
133 & 467.2 & 505.92463505687 & -38.7246350568701 \tabularnewline
134 & 439.4 & 506.276951276367 & -66.8769512763666 \tabularnewline
135 & 447.4 & 490.794857589866 & -43.3948575898659 \tabularnewline
136 & 568.5 & 474.605455225595 & 93.894544774405 \tabularnewline
137 & 485.9 & 503.050858584787 & -17.1508585847869 \tabularnewline
138 & 442.1 & 503.642893343059 & -61.542893343059 \tabularnewline
139 & 430.5 & 485.427427257277 & -54.9274272572773 \tabularnewline
140 & 600 & 461.021456738645 & 138.978543261355 \tabularnewline
141 & 464.5 & 500.549917154922 & -36.0499171549222 \tabularnewline
142 & 423.6 & 494.911119646735 & -71.3111196467349 \tabularnewline
143 & 437 & 471.186719060442 & -34.1867190604417 \tabularnewline
144 & 574 & 451.173198344680 & 122.826801655320 \tabularnewline
145 & 443 & 484.373731669252 & -41.3737316692524 \tabularnewline
146 & 410 & 474.141374794319 & -64.141374794319 \tabularnewline
147 & 420 & 449.692364323455 & -29.6923643234546 \tabularnewline
148 & 532 & 428.971716821349 & 103.028283178651 \tabularnewline
149 & 432 & 453.120397377789 & -21.1203973777889 \tabularnewline
150 & 420 & 445.856036932283 & -25.8560369322827 \tabularnewline
151 & 411 & 433.878775818879 & -22.8787758188788 \tabularnewline
152 & 512 & 419.373813657367 & 92.626186342633 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36993&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]226.9[/C][C]141.2[/C][C]85.7[/C][/ROW]
[ROW][C]4[/C][C]308.4[/C][C]101.262911472947[/C][C]207.137088527052[/C][/ROW]
[ROW][C]5[/C][C]262[/C][C]118.216228364565[/C][C]143.783771635435[/C][/ROW]
[ROW][C]6[/C][C]227.9[/C][C]140.824899513845[/C][C]87.0751004861552[/C][/ROW]
[ROW][C]7[/C][C]236.1[/C][C]162.655192925070[/C][C]73.4448070749303[/C][/ROW]
[ROW][C]8[/C][C]320.4[/C][C]191.666529299725[/C][C]128.733470700275[/C][/ROW]
[ROW][C]9[/C][C]271.9[/C][C]251.409484144807[/C][C]20.4905158551927[/C][/ROW]
[ROW][C]10[/C][C]232.8[/C][C]289.222484430925[/C][C]-56.4224844309248[/C][/ROW]
[ROW][C]11[/C][C]237[/C][C]301.493923956473[/C][C]-64.4939239564725[/C][/ROW]
[ROW][C]12[/C][C]313.4[/C][C]302.867012543181[/C][C]10.5329874568185[/C][/ROW]
[ROW][C]13[/C][C]261.4[/C][C]322.911001293801[/C][C]-61.5110012938015[/C][/ROW]
[ROW][C]14[/C][C]226.8[/C][C]317.815271258793[/C][C]-91.0152712587929[/C][/ROW]
[ROW][C]15[/C][C]249.9[/C][C]293.188633811775[/C][C]-43.2886338117754[/C][/ROW]
[ROW][C]16[/C][C]314.3[/C][C]273.425445209599[/C][C]40.8745547904006[/C][/ROW]
[ROW][C]17[/C][C]286.1[/C][C]278.683837481709[/C][C]7.41616251829095[/C][/ROW]
[ROW][C]18[/C][C]226.5[/C][C]277.315451854313[/C][C]-50.8154518543131[/C][/ROW]
[ROW][C]19[/C][C]260.4[/C][C]255.473197086817[/C][C]4.92680291318294[/C][/ROW]
[ROW][C]20[/C][C]311.4[/C][C]247.096024962265[/C][C]64.3039750377346[/C][/ROW]
[ROW][C]21[/C][C]294.7[/C][C]261.347720684597[/C][C]33.3522793154027[/C][/ROW]
[ROW][C]22[/C][C]232.6[/C][C]273.185992423123[/C][C]-40.5859924231231[/C][/ROW]
[ROW][C]23[/C][C]257.2[/C][C]262.386300653823[/C][C]-5.18630065382257[/C][/ROW]
[ROW][C]24[/C][C]339.2[/C][C]258.971109831875[/C][C]80.2288901681247[/C][/ROW]
[ROW][C]25[/C][C]279.1[/C][C]286.38594931522[/C][C]-7.28594931522008[/C][/ROW]
[ROW][C]26[/C][C]249.8[/C][C]292.723738327625[/C][C]-42.9237383276248[/C][/ROW]
[ROW][C]27[/C][C]269.8[/C][C]284.872468509077[/C][C]-15.0724685090765[/C][/ROW]
[ROW][C]28[/C][C]345.7[/C][C]281.288849581273[/C][C]64.4111504187272[/C][/ROW]
[ROW][C]29[/C][C]293.8[/C][C]304.956707618449[/C][C]-11.1567076184491[/C][/ROW]
[ROW][C]30[/C][C]254.7[/C][C]309.742192758097[/C][C]-55.0421927580972[/C][/ROW]
[ROW][C]31[/C][C]277.5[/C][C]296.748326974986[/C][C]-19.2483269749861[/C][/ROW]
[ROW][C]32[/C][C]363.4[/C][C]289.256342368322[/C][C]74.1436576316783[/C][/ROW]
[ROW][C]33[/C][C]313.4[/C][C]313.568563663855[/C][C]-0.168563663854911[/C][/ROW]
[ROW][C]34[/C][C]272.8[/C][C]320.827824972239[/C][C]-48.027824972239[/C][/ROW]
[ROW][C]35[/C][C]300.1[/C][C]310.381247753066[/C][C]-10.2812477530664[/C][/ROW]
[ROW][C]36[/C][C]369.5[/C][C]307.142143529522[/C][C]62.3578564704778[/C][/ROW]
[ROW][C]37[/C][C]330.8[/C][C]329.297950673500[/C][C]1.50204932650047[/C][/ROW]
[ROW][C]38[/C][C]287.8[/C][C]337.718847915155[/C][C]-49.9188479151552[/C][/ROW]
[ROW][C]39[/C][C]305.9[/C][C]327.352409207821[/C][C]-21.4524092078206[/C][/ROW]
[ROW][C]40[/C][C]386.1[/C][C]320.499466302351[/C][C]65.6005336976491[/C][/ROW]
[ROW][C]41[/C][C]335.2[/C][C]342.79945299344[/C][C]-7.59945299344042[/C][/ROW]
[ROW][C]42[/C][C]288[/C][C]347.258780132505[/C][C]-59.2587801325051[/C][/ROW]
[ROW][C]43[/C][C]308.3[/C][C]331.565709951446[/C][C]-23.265709951446[/C][/ROW]
[ROW][C]44[/C][C]402.3[/C][C]320.856518448779[/C][C]81.4434815512215[/C][/ROW]
[ROW][C]45[/C][C]352.8[/C][C]345.569161162182[/C][C]7.23083883781845[/C][/ROW]
[ROW][C]46[/C][C]316.1[/C][C]354.289823575232[/C][C]-38.1898235752318[/C][/ROW]
[ROW][C]47[/C][C]324.9[/C][C]347.243777964404[/C][C]-22.3437779644042[/C][/ROW]
[ROW][C]48[/C][C]404.8[/C][C]340.694090284295[/C][C]64.1059097157049[/C][/ROW]
[ROW][C]49[/C][C]393[/C][C]362.949390240454[/C][C]30.0506097595460[/C][/ROW]
[ROW][C]50[/C][C]318.9[/C][C]381.616812518579[/C][C]-62.7168125185789[/C][/ROW]
[ROW][C]51[/C][C]327[/C][C]370.226376667461[/C][C]-43.2263766674607[/C][/ROW]
[ROW][C]52[/C][C]442.3[/C][C]357.237546479471[/C][C]85.0624535205287[/C][/ROW]
[ROW][C]53[/C][C]383.1[/C][C]385.58178914374[/C][C]-2.48178914374[/C][/ROW]
[ROW][C]54[/C][C]331.6[/C][C]393.516282715177[/C][C]-61.9162827151768[/C][/ROW]
[ROW][C]55[/C][C]361.4[/C][C]379.143773757393[/C][C]-17.7437737573928[/C][/ROW]
[ROW][C]56[/C][C]445.9[/C][C]372.40428071084[/C][C]73.4957192891596[/C][/ROW]
[ROW][C]57[/C][C]386.6[/C][C]396.884823011544[/C][C]-10.2848230115436[/C][/ROW]
[ROW][C]58[/C][C]357.2[/C][C]400.723310645169[/C][C]-43.523310645169[/C][/ROW]
[ROW][C]59[/C][C]373.6[/C][C]390.838438855005[/C][C]-17.2384388550051[/C][/ROW]
[ROW][C]60[/C][C]466.2[/C][C]384.558371120356[/C][C]81.641628879644[/C][/ROW]
[ROW][C]61[/C][C]409.6[/C][C]412.392142488735[/C][C]-2.7921424887345[/C][/ROW]
[ROW][C]62[/C][C]369.8[/C][C]420.485413484188[/C][C]-50.6854134841882[/C][/ROW]
[ROW][C]63[/C][C]378.6[/C][C]410.492183970628[/C][C]-31.892183970628[/C][/ROW]
[ROW][C]64[/C][C]487[/C][C]400.33101334811[/C][C]86.66898665189[/C][/ROW]
[ROW][C]65[/C][C]419.2[/C][C]429.499137262103[/C][C]-10.2991372621029[/C][/ROW]
[ROW][C]66[/C][C]376.7[/C][C]435.001145932722[/C][C]-58.3011459327217[/C][/ROW]
[ROW][C]67[/C][C]392.8[/C][C]421.323223720603[/C][C]-28.523223720603[/C][/ROW]
[ROW][C]68[/C][C]506.1[/C][C]410.467277086632[/C][C]95.6327229133678[/C][/ROW]
[ROW][C]69[/C][C]458.4[/C][C]441.480359442132[/C][C]16.9196405578679[/C][/ROW]
[ROW][C]70[/C][C]387.4[/C][C]456.829516073926[/C][C]-69.4295160739264[/C][/ROW]
[ROW][C]71[/C][C]426.9[/C][C]442.649803279729[/C][C]-15.7498032797291[/C][/ROW]
[ROW][C]72[/C][C]565[/C][C]438.561527739733[/C][C]126.438472260267[/C][/ROW]
[ROW][C]73[/C][C]464.8[/C][C]484.796697946556[/C][C]-19.9966979465557[/C][/ROW]
[ROW][C]74[/C][C]444.5[/C][C]494.669337483279[/C][C]-50.1693374832786[/C][/ROW]
[ROW][C]75[/C][C]449.5[/C][C]490.588724804648[/C][C]-41.0887248046483[/C][/ROW]
[ROW][C]76[/C][C]556.1[/C][C]482.824133278045[/C][C]73.275866721955[/C][/ROW]
[ROW][C]77[/C][C]499.6[/C][C]511.548054148655[/C][C]-11.948054148655[/C][/ROW]
[ROW][C]78[/C][C]451.9[/C][C]519.065800480587[/C][C]-67.1658004805867[/C][/ROW]
[ROW][C]79[/C][C]434.9[/C][C]504.506325109714[/C][C]-69.6063251097144[/C][/ROW]
[ROW][C]80[/C][C]553.8[/C][C]479.621586698437[/C][C]74.1784133015634[/C][/ROW]
[ROW][C]81[/C][C]510[/C][C]498.093880631982[/C][C]11.9061193680185[/C][/ROW]
[ROW][C]82[/C][C]432.9[/C][C]503.96638909457[/C][C]-71.0663890945702[/C][/ROW]
[ROW][C]83[/C][C]453.2[/C][C]480.854158613817[/C][C]-27.654158613817[/C][/ROW]
[ROW][C]84[/C][C]547.6[/C][C]463.810260034728[/C][C]83.789739965272[/C][/ROW]
[ROW][C]85[/C][C]485.8[/C][C]484.060701741871[/C][C]1.73929825812917[/C][/ROW]
[ROW][C]86[/C][C]452.6[/C][C]485.752580330857[/C][C]-33.1525803308565[/C][/ROW]
[ROW][C]87[/C][C]456.6[/C][C]474.797257546872[/C][C]-18.197257546872[/C][/ROW]
[ROW][C]88[/C][C]565.7[/C][C]464.715945965856[/C][C]100.984054034144[/C][/ROW]
[ROW][C]89[/C][C]514.8[/C][C]496.114490525629[/C][C]18.6855094743713[/C][/ROW]
[ROW][C]90[/C][C]464.3[/C][C]511.275225821811[/C][C]-46.9752258218107[/C][/ROW]
[ROW][C]91[/C][C]430.9[/C][C]504.798438761137[/C][C]-73.8984387611374[/C][/ROW]
[ROW][C]92[/C][C]588.3[/C][C]481.783764149009[/C][C]106.516235850991[/C][/ROW]
[ROW][C]93[/C][C]503.1[/C][C]515.057301516142[/C][C]-11.9573015161418[/C][/ROW]
[ROW][C]94[/C][C]442.6[/C][C]519.503919995414[/C][C]-76.9039199954141[/C][/ROW]
[ROW][C]95[/C][C]448[/C][C]498.277568723003[/C][C]-50.277568723003[/C][/ROW]
[ROW][C]96[/C][C]554.5[/C][C]476.098776636279[/C][C]78.4012233637215[/C][/ROW]
[ROW][C]97[/C][C]504.5[/C][C]494.40782828685[/C][C]10.0921717131503[/C][/ROW]
[ROW][C]98[/C][C]427.3[/C][C]498.479214672524[/C][C]-71.1792146725242[/C][/ROW]
[ROW][C]99[/C][C]473.1[/C][C]473.939859651453[/C][C]-0.839859651452684[/C][/ROW]
[ROW][C]100[/C][C]526.2[/C][C]465.401561700034[/C][C]60.7984382999663[/C][/ROW]
[ROW][C]101[/C][C]547.5[/C][C]479.518450529874[/C][C]67.9815494701264[/C][/ROW]
[ROW][C]102[/C][C]440.2[/C][C]504.819447175985[/C][C]-64.6194471759846[/C][/ROW]
[ROW][C]103[/C][C]468.7[/C][C]490.667420101151[/C][C]-21.9674201011511[/C][/ROW]
[ROW][C]104[/C][C]574.5[/C][C]483.207385527244[/C][C]91.2926144727558[/C][/ROW]
[ROW][C]105[/C][C]492.6[/C][C]514.510552866382[/C][C]-21.9105528663816[/C][/ROW]
[ROW][C]106[/C][C]432.6[/C][C]516.798080025309[/C][C]-84.1980800253092[/C][/ROW]
[ROW][C]107[/C][C]479.8[/C][C]492.99859748276[/C][C]-13.1985974827598[/C][/ROW]
[ROW][C]108[/C][C]575.7[/C][C]483.617474807457[/C][C]92.0825251925433[/C][/ROW]
[ROW][C]109[/C][C]474.6[/C][C]511.2819420989[/C][C]-36.6819420989[/C][/ROW]
[ROW][C]110[/C][C]405.3[/C][C]504.292283982199[/C][C]-98.9922839821986[/C][/ROW]
[ROW][C]111[/C][C]434.6[/C][C]469.134712779112[/C][C]-34.5347127791117[/C][/ROW]
[ROW][C]112[/C][C]535.1[/C][C]443.902837229545[/C][C]91.1971627704548[/C][/ROW]
[ROW][C]113[/C][C]452.6[/C][C]460.278805280510[/C][C]-7.67880528050949[/C][/ROW]
[ROW][C]114[/C][C]429.5[/C][C]452.919099690154[/C][C]-23.4190996901544[/C][/ROW]
[ROW][C]115[/C][C]417.2[/C][C]438.666588639452[/C][C]-21.4665886394517[/C][/ROW]
[ROW][C]116[/C][C]551.8[/C][C]421.84968037984[/C][C]129.950319620160[/C][/ROW]
[ROW][C]117[/C][C]464[/C][C]457.963765237312[/C][C]6.03623476268757[/C][/ROW]
[ROW][C]118[/C][C]416.6[/C][C]466.528733076471[/C][C]-49.928733076471[/C][/ROW]
[ROW][C]119[/C][C]422.9[/C][C]455.2636636391[/C][C]-32.3636636391[/C][/ROW]
[ROW][C]120[/C][C]553.6[/C][C]443.483059090973[/C][C]110.116940909027[/C][/ROW]
[ROW][C]121[/C][C]458.6[/C][C]479.802925881605[/C][C]-21.2029258816047[/C][/ROW]
[ROW][C]122[/C][C]427.6[/C][C]483.054831206438[/C][C]-55.454831206438[/C][/ROW]
[ROW][C]123[/C][C]429.2[/C][C]470.677112035836[/C][C]-41.4771120358357[/C][/ROW]
[ROW][C]124[/C][C]534.2[/C][C]455.683137757725[/C][C]78.5168622422751[/C][/ROW]
[ROW][C]125[/C][C]481.7[/C][C]479.203028075703[/C][C]2.49697192429682[/C][/ROW]
[ROW][C]126[/C][C]416[/C][C]485.652614139696[/C][C]-69.6526141396959[/C][/ROW]
[ROW][C]127[/C][C]440.2[/C][C]465.795987947132[/C][C]-25.5959879471321[/C][/ROW]
[ROW][C]128[/C][C]538.7[/C][C]452.444130769303[/C][C]86.255869230697[/C][/ROW]
[ROW][C]129[/C][C]473.8[/C][C]476.826107237553[/C][C]-3.02610723755322[/C][/ROW]
[ROW][C]130[/C][C]439.9[/C][C]480.323747765993[/C][C]-40.4237477659934[/C][/ROW]
[ROW][C]131[/C][C]446.8[/C][C]469.579800603168[/C][C]-22.7798006031681[/C][/ROW]
[ROW][C]132[/C][C]597.5[/C][C]459.683041185333[/C][C]137.816958814667[/C][/ROW]
[ROW][C]133[/C][C]467.2[/C][C]505.92463505687[/C][C]-38.7246350568701[/C][/ROW]
[ROW][C]134[/C][C]439.4[/C][C]506.276951276367[/C][C]-66.8769512763666[/C][/ROW]
[ROW][C]135[/C][C]447.4[/C][C]490.794857589866[/C][C]-43.3948575898659[/C][/ROW]
[ROW][C]136[/C][C]568.5[/C][C]474.605455225595[/C][C]93.894544774405[/C][/ROW]
[ROW][C]137[/C][C]485.9[/C][C]503.050858584787[/C][C]-17.1508585847869[/C][/ROW]
[ROW][C]138[/C][C]442.1[/C][C]503.642893343059[/C][C]-61.542893343059[/C][/ROW]
[ROW][C]139[/C][C]430.5[/C][C]485.427427257277[/C][C]-54.9274272572773[/C][/ROW]
[ROW][C]140[/C][C]600[/C][C]461.021456738645[/C][C]138.978543261355[/C][/ROW]
[ROW][C]141[/C][C]464.5[/C][C]500.549917154922[/C][C]-36.0499171549222[/C][/ROW]
[ROW][C]142[/C][C]423.6[/C][C]494.911119646735[/C][C]-71.3111196467349[/C][/ROW]
[ROW][C]143[/C][C]437[/C][C]471.186719060442[/C][C]-34.1867190604417[/C][/ROW]
[ROW][C]144[/C][C]574[/C][C]451.173198344680[/C][C]122.826801655320[/C][/ROW]
[ROW][C]145[/C][C]443[/C][C]484.373731669252[/C][C]-41.3737316692524[/C][/ROW]
[ROW][C]146[/C][C]410[/C][C]474.141374794319[/C][C]-64.141374794319[/C][/ROW]
[ROW][C]147[/C][C]420[/C][C]449.692364323455[/C][C]-29.6923643234546[/C][/ROW]
[ROW][C]148[/C][C]532[/C][C]428.971716821349[/C][C]103.028283178651[/C][/ROW]
[ROW][C]149[/C][C]432[/C][C]453.120397377789[/C][C]-21.1203973777889[/C][/ROW]
[ROW][C]150[/C][C]420[/C][C]445.856036932283[/C][C]-25.8560369322827[/C][/ROW]
[ROW][C]151[/C][C]411[/C][C]433.878775818879[/C][C]-22.8787758188788[/C][/ROW]
[ROW][C]152[/C][C]512[/C][C]419.373813657367[/C][C]92.626186342633[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36993&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36993&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
3226.9141.285.7
4308.4101.262911472947207.137088527052
5262118.216228364565143.783771635435
6227.9140.82489951384587.0751004861552
7236.1162.65519292507073.4448070749303
8320.4191.666529299725128.733470700275
9271.9251.40948414480720.4905158551927
10232.8289.222484430925-56.4224844309248
11237301.493923956473-64.4939239564725
12313.4302.86701254318110.5329874568185
13261.4322.911001293801-61.5110012938015
14226.8317.815271258793-91.0152712587929
15249.9293.188633811775-43.2886338117754
16314.3273.42544520959940.8745547904006
17286.1278.6838374817097.41616251829095
18226.5277.315451854313-50.8154518543131
19260.4255.4731970868174.92680291318294
20311.4247.09602496226564.3039750377346
21294.7261.34772068459733.3522793154027
22232.6273.185992423123-40.5859924231231
23257.2262.386300653823-5.18630065382257
24339.2258.97110983187580.2288901681247
25279.1286.38594931522-7.28594931522008
26249.8292.723738327625-42.9237383276248
27269.8284.872468509077-15.0724685090765
28345.7281.28884958127364.4111504187272
29293.8304.956707618449-11.1567076184491
30254.7309.742192758097-55.0421927580972
31277.5296.748326974986-19.2483269749861
32363.4289.25634236832274.1436576316783
33313.4313.568563663855-0.168563663854911
34272.8320.827824972239-48.027824972239
35300.1310.381247753066-10.2812477530664
36369.5307.14214352952262.3578564704778
37330.8329.2979506735001.50204932650047
38287.8337.718847915155-49.9188479151552
39305.9327.352409207821-21.4524092078206
40386.1320.49946630235165.6005336976491
41335.2342.79945299344-7.59945299344042
42288347.258780132505-59.2587801325051
43308.3331.565709951446-23.265709951446
44402.3320.85651844877981.4434815512215
45352.8345.5691611621827.23083883781845
46316.1354.289823575232-38.1898235752318
47324.9347.243777964404-22.3437779644042
48404.8340.69409028429564.1059097157049
49393362.94939024045430.0506097595460
50318.9381.616812518579-62.7168125185789
51327370.226376667461-43.2263766674607
52442.3357.23754647947185.0624535205287
53383.1385.58178914374-2.48178914374
54331.6393.516282715177-61.9162827151768
55361.4379.143773757393-17.7437737573928
56445.9372.4042807108473.4957192891596
57386.6396.884823011544-10.2848230115436
58357.2400.723310645169-43.523310645169
59373.6390.838438855005-17.2384388550051
60466.2384.55837112035681.641628879644
61409.6412.392142488735-2.7921424887345
62369.8420.485413484188-50.6854134841882
63378.6410.492183970628-31.892183970628
64487400.3310133481186.66898665189
65419.2429.499137262103-10.2991372621029
66376.7435.001145932722-58.3011459327217
67392.8421.323223720603-28.523223720603
68506.1410.46727708663295.6327229133678
69458.4441.48035944213216.9196405578679
70387.4456.829516073926-69.4295160739264
71426.9442.649803279729-15.7498032797291
72565438.561527739733126.438472260267
73464.8484.796697946556-19.9966979465557
74444.5494.669337483279-50.1693374832786
75449.5490.588724804648-41.0887248046483
76556.1482.82413327804573.275866721955
77499.6511.548054148655-11.948054148655
78451.9519.065800480587-67.1658004805867
79434.9504.506325109714-69.6063251097144
80553.8479.62158669843774.1784133015634
81510498.09388063198211.9061193680185
82432.9503.96638909457-71.0663890945702
83453.2480.854158613817-27.654158613817
84547.6463.81026003472883.789739965272
85485.8484.0607017418711.73929825812917
86452.6485.752580330857-33.1525803308565
87456.6474.797257546872-18.197257546872
88565.7464.715945965856100.984054034144
89514.8496.11449052562918.6855094743713
90464.3511.275225821811-46.9752258218107
91430.9504.798438761137-73.8984387611374
92588.3481.783764149009106.516235850991
93503.1515.057301516142-11.9573015161418
94442.6519.503919995414-76.9039199954141
95448498.277568723003-50.277568723003
96554.5476.09877663627978.4012233637215
97504.5494.4078282868510.0921717131503
98427.3498.479214672524-71.1792146725242
99473.1473.939859651453-0.839859651452684
100526.2465.40156170003460.7984382999663
101547.5479.51845052987467.9815494701264
102440.2504.819447175985-64.6194471759846
103468.7490.667420101151-21.9674201011511
104574.5483.20738552724491.2926144727558
105492.6514.510552866382-21.9105528663816
106432.6516.798080025309-84.1980800253092
107479.8492.99859748276-13.1985974827598
108575.7483.61747480745792.0825251925433
109474.6511.2819420989-36.6819420989
110405.3504.292283982199-98.9922839821986
111434.6469.134712779112-34.5347127791117
112535.1443.90283722954591.1971627704548
113452.6460.278805280510-7.67880528050949
114429.5452.919099690154-23.4190996901544
115417.2438.666588639452-21.4665886394517
116551.8421.84968037984129.950319620160
117464457.9637652373126.03623476268757
118416.6466.528733076471-49.928733076471
119422.9455.2636636391-32.3636636391
120553.6443.483059090973110.116940909027
121458.6479.802925881605-21.2029258816047
122427.6483.054831206438-55.454831206438
123429.2470.677112035836-41.4771120358357
124534.2455.68313775772578.5168622422751
125481.7479.2030280757032.49697192429682
126416485.652614139696-69.6526141396959
127440.2465.795987947132-25.5959879471321
128538.7452.44413076930386.255869230697
129473.8476.826107237553-3.02610723755322
130439.9480.323747765993-40.4237477659934
131446.8469.579800603168-22.7798006031681
132597.5459.683041185333137.816958814667
133467.2505.92463505687-38.7246350568701
134439.4506.276951276367-66.8769512763666
135447.4490.794857589866-43.3948575898659
136568.5474.60545522559593.894544774405
137485.9503.050858584787-17.1508585847869
138442.1503.642893343059-61.542893343059
139430.5485.427427257277-54.9274272572773
140600461.021456738645138.978543261355
141464.5500.549917154922-36.0499171549222
142423.6494.911119646735-71.3111196467349
143437471.186719060442-34.1867190604417
144574451.173198344680122.826801655320
145443484.373731669252-41.3737316692524
146410474.141374794319-64.141374794319
147420449.692364323455-29.6923643234546
148532428.971716821349103.028283178651
149432453.120397377789-21.1203973777889
150420445.856036932283-25.8560369322827
151411433.878775818879-22.8787758188788
152512419.37381365736792.626186342633







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
153444.333603131696321.879193558692566.788012704699
154448.067273811786317.522469080267578.612078543306
155451.800944491877307.099248462092596.502640521662
156455.534615171968290.382129821402620.687100522533

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
153 & 444.333603131696 & 321.879193558692 & 566.788012704699 \tabularnewline
154 & 448.067273811786 & 317.522469080267 & 578.612078543306 \tabularnewline
155 & 451.800944491877 & 307.099248462092 & 596.502640521662 \tabularnewline
156 & 455.534615171968 & 290.382129821402 & 620.687100522533 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36993&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]153[/C][C]444.333603131696[/C][C]321.879193558692[/C][C]566.788012704699[/C][/ROW]
[ROW][C]154[/C][C]448.067273811786[/C][C]317.522469080267[/C][C]578.612078543306[/C][/ROW]
[ROW][C]155[/C][C]451.800944491877[/C][C]307.099248462092[/C][C]596.502640521662[/C][/ROW]
[ROW][C]156[/C][C]455.534615171968[/C][C]290.382129821402[/C][C]620.687100522533[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36993&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36993&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
153444.333603131696321.879193558692566.788012704699
154448.067273811786317.522469080267578.612078543306
155451.800944491877307.099248462092596.502640521662
156455.534615171968290.382129821402620.687100522533



Parameters (Session):
par1 = 4 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 4 ; par2 = Double ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=0, beta=0)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=0)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')