Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 27 May 2010 10:45:09 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/May/27/t1274957153arol7ybm26vr8tv.htm/, Retrieved Thu, 02 May 2024 03:21:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76594, Retrieved Thu, 02 May 2024 03:21:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact164
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Retail sales and ...] [2010-05-27 10:45:09] [35611de12c9fa8a4a915f3548e0dcd01] [Current]
Feedback Forum

Post a new message
Dataseries X:
357704
281463
282445
319107
315278
328499
321151
328025
326280
313444
319639
324067
386918
293009
294822
338844
335407
345080
350608
351285
355147
332791
335615
343202
404868
317902
313552
361505
351436
373350
366310
361669
375078
345547
348117
356089
416856
328087
322747
373626
358275
391287
376371
371848
387261
353159
367855
376822
425283
342191
344062
373587
370144
399979
380431
385909
384798
352554
352479
338788
387964
313593
304056
334149
336155
354668
351418
354316
359483
330411
344726
347175




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76594&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76594&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76594&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.609943620608653
beta0.0462444503125317
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.609943620608653 \tabularnewline
beta & 0.0462444503125317 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76594&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]0.609943620608653[/C][/ROW]
[ROW][C]beta[/C][C]0.0462444503125317[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76594&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76594&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
alpha0.609943620608653
beta0.0462444503125317
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13386918376360.29966516910557.7003348314
14293009289731.6965694093277.30343059078
15294822293478.9746162211343.02538377937
16338844338379.351246054464.648753945658
17335407335908.876911778-501.87691177841
18345080345972.14221899-892.142218990135
19350608342181.7906903538426.20930964651
20351285355281.568763131-3996.56876313133
21355147352151.4362632082995.56373679161
22332791340899.140389615-8108.14038961509
23335615342896.785248752-7281.78524875152
24343202343402.26748632-200.267486320168
25404868414078.702641918-9210.70264191797
26317902306803.83004484411098.1699551563
27313552314423.957074853-871.957074853068
28361505360156.3023758391348.69762416102
29351436357366.985262714-5930.98526271351
30373350364109.1441546019240.85584539914
31366310369945.869336141-3635.8693361411
32361669370513.342069944-8844.34206994408
33375078366647.40734398430.59265609964
34345547353091.213458242-7544.21345824172
35348117355653.086272872-7536.08627287159
36356089358710.381447685-2621.38144768518
37416856426514.604984097-9658.60498409742
38328087322716.9421312115370.05786878947
39322747321506.416364541240.58363545983
40373626370113.7060715173512.29392848274
41358275365068.816707848-6793.81670784816
42391287377028.84589875414258.1541012464
43376371380304.41728973-3933.4172897301
44371848378199.162177427-6351.16217742715
45387261382466.892800154794.10719984985
46353159359304.322000702-6145.32200070168
47367855362493.5752682885361.42473171209
48376822375752.0433642051069.95663579466
49425283446851.918075464-21568.9180754641
50342191337711.9497021724479.05029782781
51344062333893.37954970910168.620450291
52373587391451.394660793-17864.3946607932
53370144368582.3290600071561.67093999306
54399979394159.3610882045819.63891179592
55380431384442.248971058-4011.24897105753
56385909380781.0226782375127.97732176317
57384798396551.243097282-11753.2430972824
58352554358227.375240229-5673.37524022942
59352479365613.750351211-13134.7503512112
60338788364578.213513894-25790.2135138935
61387964403581.811297175-15617.8112971753
62313593312959.721236728633.278763271926
63304056307691.410354691-3635.41035469063
64334149339013.438628454-4864.43862845434
65336155330236.9764265155918.0235734848
66354668355689.184978092-1021.18497809226
67351418337962.46738516113455.532614839
68354316346829.1300410567486.86995894386
69359483355431.9955050374051.00449496263
70330411330179.588057195231.411942805222
71344726336851.3993006967874.60069930443
72347175342944.7368183114230.26318168867

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 386918 & 376360.299665169 & 10557.7003348314 \tabularnewline
14 & 293009 & 289731.696569409 & 3277.30343059078 \tabularnewline
15 & 294822 & 293478.974616221 & 1343.02538377937 \tabularnewline
16 & 338844 & 338379.351246054 & 464.648753945658 \tabularnewline
17 & 335407 & 335908.876911778 & -501.87691177841 \tabularnewline
18 & 345080 & 345972.14221899 & -892.142218990135 \tabularnewline
19 & 350608 & 342181.790690353 & 8426.20930964651 \tabularnewline
20 & 351285 & 355281.568763131 & -3996.56876313133 \tabularnewline
21 & 355147 & 352151.436263208 & 2995.56373679161 \tabularnewline
22 & 332791 & 340899.140389615 & -8108.14038961509 \tabularnewline
23 & 335615 & 342896.785248752 & -7281.78524875152 \tabularnewline
24 & 343202 & 343402.26748632 & -200.267486320168 \tabularnewline
25 & 404868 & 414078.702641918 & -9210.70264191797 \tabularnewline
26 & 317902 & 306803.830044844 & 11098.1699551563 \tabularnewline
27 & 313552 & 314423.957074853 & -871.957074853068 \tabularnewline
28 & 361505 & 360156.302375839 & 1348.69762416102 \tabularnewline
29 & 351436 & 357366.985262714 & -5930.98526271351 \tabularnewline
30 & 373350 & 364109.144154601 & 9240.85584539914 \tabularnewline
31 & 366310 & 369945.869336141 & -3635.8693361411 \tabularnewline
32 & 361669 & 370513.342069944 & -8844.34206994408 \tabularnewline
33 & 375078 & 366647.4073439 & 8430.59265609964 \tabularnewline
34 & 345547 & 353091.213458242 & -7544.21345824172 \tabularnewline
35 & 348117 & 355653.086272872 & -7536.08627287159 \tabularnewline
36 & 356089 & 358710.381447685 & -2621.38144768518 \tabularnewline
37 & 416856 & 426514.604984097 & -9658.60498409742 \tabularnewline
38 & 328087 & 322716.942131211 & 5370.05786878947 \tabularnewline
39 & 322747 & 321506.41636454 & 1240.58363545983 \tabularnewline
40 & 373626 & 370113.706071517 & 3512.29392848274 \tabularnewline
41 & 358275 & 365068.816707848 & -6793.81670784816 \tabularnewline
42 & 391287 & 377028.845898754 & 14258.1541012464 \tabularnewline
43 & 376371 & 380304.41728973 & -3933.4172897301 \tabularnewline
44 & 371848 & 378199.162177427 & -6351.16217742715 \tabularnewline
45 & 387261 & 382466.89280015 & 4794.10719984985 \tabularnewline
46 & 353159 & 359304.322000702 & -6145.32200070168 \tabularnewline
47 & 367855 & 362493.575268288 & 5361.42473171209 \tabularnewline
48 & 376822 & 375752.043364205 & 1069.95663579466 \tabularnewline
49 & 425283 & 446851.918075464 & -21568.9180754641 \tabularnewline
50 & 342191 & 337711.949702172 & 4479.05029782781 \tabularnewline
51 & 344062 & 333893.379549709 & 10168.620450291 \tabularnewline
52 & 373587 & 391451.394660793 & -17864.3946607932 \tabularnewline
53 & 370144 & 368582.329060007 & 1561.67093999306 \tabularnewline
54 & 399979 & 394159.361088204 & 5819.63891179592 \tabularnewline
55 & 380431 & 384442.248971058 & -4011.24897105753 \tabularnewline
56 & 385909 & 380781.022678237 & 5127.97732176317 \tabularnewline
57 & 384798 & 396551.243097282 & -11753.2430972824 \tabularnewline
58 & 352554 & 358227.375240229 & -5673.37524022942 \tabularnewline
59 & 352479 & 365613.750351211 & -13134.7503512112 \tabularnewline
60 & 338788 & 364578.213513894 & -25790.2135138935 \tabularnewline
61 & 387964 & 403581.811297175 & -15617.8112971753 \tabularnewline
62 & 313593 & 312959.721236728 & 633.278763271926 \tabularnewline
63 & 304056 & 307691.410354691 & -3635.41035469063 \tabularnewline
64 & 334149 & 339013.438628454 & -4864.43862845434 \tabularnewline
65 & 336155 & 330236.976426515 & 5918.0235734848 \tabularnewline
66 & 354668 & 355689.184978092 & -1021.18497809226 \tabularnewline
67 & 351418 & 337962.467385161 & 13455.532614839 \tabularnewline
68 & 354316 & 346829.130041056 & 7486.86995894386 \tabularnewline
69 & 359483 & 355431.995505037 & 4051.00449496263 \tabularnewline
70 & 330411 & 330179.588057195 & 231.411942805222 \tabularnewline
71 & 344726 & 336851.399300696 & 7874.60069930443 \tabularnewline
72 & 347175 & 342944.736818311 & 4230.26318168867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76594&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]13[/C][C]386918[/C][C]376360.299665169[/C][C]10557.7003348314[/C][/ROW]
[ROW][C]14[/C][C]293009[/C][C]289731.696569409[/C][C]3277.30343059078[/C][/ROW]
[ROW][C]15[/C][C]294822[/C][C]293478.974616221[/C][C]1343.02538377937[/C][/ROW]
[ROW][C]16[/C][C]338844[/C][C]338379.351246054[/C][C]464.648753945658[/C][/ROW]
[ROW][C]17[/C][C]335407[/C][C]335908.876911778[/C][C]-501.87691177841[/C][/ROW]
[ROW][C]18[/C][C]345080[/C][C]345972.14221899[/C][C]-892.142218990135[/C][/ROW]
[ROW][C]19[/C][C]350608[/C][C]342181.790690353[/C][C]8426.20930964651[/C][/ROW]
[ROW][C]20[/C][C]351285[/C][C]355281.568763131[/C][C]-3996.56876313133[/C][/ROW]
[ROW][C]21[/C][C]355147[/C][C]352151.436263208[/C][C]2995.56373679161[/C][/ROW]
[ROW][C]22[/C][C]332791[/C][C]340899.140389615[/C][C]-8108.14038961509[/C][/ROW]
[ROW][C]23[/C][C]335615[/C][C]342896.785248752[/C][C]-7281.78524875152[/C][/ROW]
[ROW][C]24[/C][C]343202[/C][C]343402.26748632[/C][C]-200.267486320168[/C][/ROW]
[ROW][C]25[/C][C]404868[/C][C]414078.702641918[/C][C]-9210.70264191797[/C][/ROW]
[ROW][C]26[/C][C]317902[/C][C]306803.830044844[/C][C]11098.1699551563[/C][/ROW]
[ROW][C]27[/C][C]313552[/C][C]314423.957074853[/C][C]-871.957074853068[/C][/ROW]
[ROW][C]28[/C][C]361505[/C][C]360156.302375839[/C][C]1348.69762416102[/C][/ROW]
[ROW][C]29[/C][C]351436[/C][C]357366.985262714[/C][C]-5930.98526271351[/C][/ROW]
[ROW][C]30[/C][C]373350[/C][C]364109.144154601[/C][C]9240.85584539914[/C][/ROW]
[ROW][C]31[/C][C]366310[/C][C]369945.869336141[/C][C]-3635.8693361411[/C][/ROW]
[ROW][C]32[/C][C]361669[/C][C]370513.342069944[/C][C]-8844.34206994408[/C][/ROW]
[ROW][C]33[/C][C]375078[/C][C]366647.4073439[/C][C]8430.59265609964[/C][/ROW]
[ROW][C]34[/C][C]345547[/C][C]353091.213458242[/C][C]-7544.21345824172[/C][/ROW]
[ROW][C]35[/C][C]348117[/C][C]355653.086272872[/C][C]-7536.08627287159[/C][/ROW]
[ROW][C]36[/C][C]356089[/C][C]358710.381447685[/C][C]-2621.38144768518[/C][/ROW]
[ROW][C]37[/C][C]416856[/C][C]426514.604984097[/C][C]-9658.60498409742[/C][/ROW]
[ROW][C]38[/C][C]328087[/C][C]322716.942131211[/C][C]5370.05786878947[/C][/ROW]
[ROW][C]39[/C][C]322747[/C][C]321506.41636454[/C][C]1240.58363545983[/C][/ROW]
[ROW][C]40[/C][C]373626[/C][C]370113.706071517[/C][C]3512.29392848274[/C][/ROW]
[ROW][C]41[/C][C]358275[/C][C]365068.816707848[/C][C]-6793.81670784816[/C][/ROW]
[ROW][C]42[/C][C]391287[/C][C]377028.845898754[/C][C]14258.1541012464[/C][/ROW]
[ROW][C]43[/C][C]376371[/C][C]380304.41728973[/C][C]-3933.4172897301[/C][/ROW]
[ROW][C]44[/C][C]371848[/C][C]378199.162177427[/C][C]-6351.16217742715[/C][/ROW]
[ROW][C]45[/C][C]387261[/C][C]382466.89280015[/C][C]4794.10719984985[/C][/ROW]
[ROW][C]46[/C][C]353159[/C][C]359304.322000702[/C][C]-6145.32200070168[/C][/ROW]
[ROW][C]47[/C][C]367855[/C][C]362493.575268288[/C][C]5361.42473171209[/C][/ROW]
[ROW][C]48[/C][C]376822[/C][C]375752.043364205[/C][C]1069.95663579466[/C][/ROW]
[ROW][C]49[/C][C]425283[/C][C]446851.918075464[/C][C]-21568.9180754641[/C][/ROW]
[ROW][C]50[/C][C]342191[/C][C]337711.949702172[/C][C]4479.05029782781[/C][/ROW]
[ROW][C]51[/C][C]344062[/C][C]333893.379549709[/C][C]10168.620450291[/C][/ROW]
[ROW][C]52[/C][C]373587[/C][C]391451.394660793[/C][C]-17864.3946607932[/C][/ROW]
[ROW][C]53[/C][C]370144[/C][C]368582.329060007[/C][C]1561.67093999306[/C][/ROW]
[ROW][C]54[/C][C]399979[/C][C]394159.361088204[/C][C]5819.63891179592[/C][/ROW]
[ROW][C]55[/C][C]380431[/C][C]384442.248971058[/C][C]-4011.24897105753[/C][/ROW]
[ROW][C]56[/C][C]385909[/C][C]380781.022678237[/C][C]5127.97732176317[/C][/ROW]
[ROW][C]57[/C][C]384798[/C][C]396551.243097282[/C][C]-11753.2430972824[/C][/ROW]
[ROW][C]58[/C][C]352554[/C][C]358227.375240229[/C][C]-5673.37524022942[/C][/ROW]
[ROW][C]59[/C][C]352479[/C][C]365613.750351211[/C][C]-13134.7503512112[/C][/ROW]
[ROW][C]60[/C][C]338788[/C][C]364578.213513894[/C][C]-25790.2135138935[/C][/ROW]
[ROW][C]61[/C][C]387964[/C][C]403581.811297175[/C][C]-15617.8112971753[/C][/ROW]
[ROW][C]62[/C][C]313593[/C][C]312959.721236728[/C][C]633.278763271926[/C][/ROW]
[ROW][C]63[/C][C]304056[/C][C]307691.410354691[/C][C]-3635.41035469063[/C][/ROW]
[ROW][C]64[/C][C]334149[/C][C]339013.438628454[/C][C]-4864.43862845434[/C][/ROW]
[ROW][C]65[/C][C]336155[/C][C]330236.976426515[/C][C]5918.0235734848[/C][/ROW]
[ROW][C]66[/C][C]354668[/C][C]355689.184978092[/C][C]-1021.18497809226[/C][/ROW]
[ROW][C]67[/C][C]351418[/C][C]337962.467385161[/C][C]13455.532614839[/C][/ROW]
[ROW][C]68[/C][C]354316[/C][C]346829.130041056[/C][C]7486.86995894386[/C][/ROW]
[ROW][C]69[/C][C]359483[/C][C]355431.995505037[/C][C]4051.00449496263[/C][/ROW]
[ROW][C]70[/C][C]330411[/C][C]330179.588057195[/C][C]231.411942805222[/C][/ROW]
[ROW][C]71[/C][C]344726[/C][C]336851.399300696[/C][C]7874.60069930443[/C][/ROW]
[ROW][C]72[/C][C]347175[/C][C]342944.736818311[/C][C]4230.26318168867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76594&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76594&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
13386918376360.29966516910557.7003348314
14293009289731.6965694093277.30343059078
15294822293478.9746162211343.02538377937
16338844338379.351246054464.648753945658
17335407335908.876911778-501.87691177841
18345080345972.14221899-892.142218990135
19350608342181.7906903538426.20930964651
20351285355281.568763131-3996.56876313133
21355147352151.4362632082995.56373679161
22332791340899.140389615-8108.14038961509
23335615342896.785248752-7281.78524875152
24343202343402.26748632-200.267486320168
25404868414078.702641918-9210.70264191797
26317902306803.83004484411098.1699551563
27313552314423.957074853-871.957074853068
28361505360156.3023758391348.69762416102
29351436357366.985262714-5930.98526271351
30373350364109.1441546019240.85584539914
31366310369945.869336141-3635.8693361411
32361669370513.342069944-8844.34206994408
33375078366647.40734398430.59265609964
34345547353091.213458242-7544.21345824172
35348117355653.086272872-7536.08627287159
36356089358710.381447685-2621.38144768518
37416856426514.604984097-9658.60498409742
38328087322716.9421312115370.05786878947
39322747321506.416364541240.58363545983
40373626370113.7060715173512.29392848274
41358275365068.816707848-6793.81670784816
42391287377028.84589875414258.1541012464
43376371380304.41728973-3933.4172897301
44371848378199.162177427-6351.16217742715
45387261382466.892800154794.10719984985
46353159359304.322000702-6145.32200070168
47367855362493.5752682885361.42473171209
48376822375752.0433642051069.95663579466
49425283446851.918075464-21568.9180754641
50342191337711.9497021724479.05029782781
51344062333893.37954970910168.620450291
52373587391451.394660793-17864.3946607932
53370144368582.3290600071561.67093999306
54399979394159.3610882045819.63891179592
55380431384442.248971058-4011.24897105753
56385909380781.0226782375127.97732176317
57384798396551.243097282-11753.2430972824
58352554358227.375240229-5673.37524022942
59352479365613.750351211-13134.7503512112
60338788364578.213513894-25790.2135138935
61387964403581.811297175-15617.8112971753
62313593312959.721236728633.278763271926
63304056307691.410354691-3635.41035469063
64334149339013.438628454-4864.43862845434
65336155330236.9764265155918.0235734848
66354668355689.184978092-1021.18497809226
67351418337962.46738516113455.532614839
68354316346829.1300410567486.86995894386
69359483355431.9955050374051.00449496263
70330411330179.588057195231.411942805222
71344726336851.3993006967874.60069930443
72347175342944.7368183114230.26318168867







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73405916.737669491389639.951184706422193.524154277
74328618.97028998310301.144704528346936.795875432
75321820.044157382300796.643294615342843.445020149
76357901.479217663332677.759701704383125.198733622
77357418.372030887329592.686698973385244.057362802
78378902.98322812347184.870629806410621.095826434
79367668.330534595334188.979826332401147.681242857
80366597.460273037330674.996465697402519.924080377
81369869.040521126331148.102502673408589.978539579
82340155.506141098301696.013171721378614.999110475
83350250.268980912308275.894278327392224.643683497
84350222.167644986308831.778803132391612.556486839

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 405916.737669491 & 389639.951184706 & 422193.524154277 \tabularnewline
74 & 328618.97028998 & 310301.144704528 & 346936.795875432 \tabularnewline
75 & 321820.044157382 & 300796.643294615 & 342843.445020149 \tabularnewline
76 & 357901.479217663 & 332677.759701704 & 383125.198733622 \tabularnewline
77 & 357418.372030887 & 329592.686698973 & 385244.057362802 \tabularnewline
78 & 378902.98322812 & 347184.870629806 & 410621.095826434 \tabularnewline
79 & 367668.330534595 & 334188.979826332 & 401147.681242857 \tabularnewline
80 & 366597.460273037 & 330674.996465697 & 402519.924080377 \tabularnewline
81 & 369869.040521126 & 331148.102502673 & 408589.978539579 \tabularnewline
82 & 340155.506141098 & 301696.013171721 & 378614.999110475 \tabularnewline
83 & 350250.268980912 & 308275.894278327 & 392224.643683497 \tabularnewline
84 & 350222.167644986 & 308831.778803132 & 391612.556486839 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76594&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]73[/C][C]405916.737669491[/C][C]389639.951184706[/C][C]422193.524154277[/C][/ROW]
[ROW][C]74[/C][C]328618.97028998[/C][C]310301.144704528[/C][C]346936.795875432[/C][/ROW]
[ROW][C]75[/C][C]321820.044157382[/C][C]300796.643294615[/C][C]342843.445020149[/C][/ROW]
[ROW][C]76[/C][C]357901.479217663[/C][C]332677.759701704[/C][C]383125.198733622[/C][/ROW]
[ROW][C]77[/C][C]357418.372030887[/C][C]329592.686698973[/C][C]385244.057362802[/C][/ROW]
[ROW][C]78[/C][C]378902.98322812[/C][C]347184.870629806[/C][C]410621.095826434[/C][/ROW]
[ROW][C]79[/C][C]367668.330534595[/C][C]334188.979826332[/C][C]401147.681242857[/C][/ROW]
[ROW][C]80[/C][C]366597.460273037[/C][C]330674.996465697[/C][C]402519.924080377[/C][/ROW]
[ROW][C]81[/C][C]369869.040521126[/C][C]331148.102502673[/C][C]408589.978539579[/C][/ROW]
[ROW][C]82[/C][C]340155.506141098[/C][C]301696.013171721[/C][C]378614.999110475[/C][/ROW]
[ROW][C]83[/C][C]350250.268980912[/C][C]308275.894278327[/C][C]392224.643683497[/C][/ROW]
[ROW][C]84[/C][C]350222.167644986[/C][C]308831.778803132[/C][C]391612.556486839[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76594&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76594&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
73405916.737669491389639.951184706422193.524154277
74328618.97028998310301.144704528346936.795875432
75321820.044157382300796.643294615342843.445020149
76357901.479217663332677.759701704383125.198733622
77357418.372030887329592.686698973385244.057362802
78378902.98322812347184.870629806410621.095826434
79367668.330534595334188.979826332401147.681242857
80366597.460273037330674.996465697402519.924080377
81369869.040521126331148.102502673408589.978539579
82340155.506141098301696.013171721378614.999110475
83350250.268980912308275.894278327392224.643683497
84350222.167644986308831.778803132391612.556486839



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; 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=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')