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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 06 Jun 2010 12:42:09 +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/Jun/06/t1275828151dbcxz3l93p8wir7.htm/, Retrieved Sun, 28 Apr 2024 05:08:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77672, Retrieved Sun, 28 Apr 2024 05:08:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [IKO opgave 10 oe 2] [2010-06-06 12:42:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
278,1
283,3
287
287,9
279,7
273,2
272,6
274,8
277,2
277,5
278,7
279
280,1
280,8
280,1
270,5
260
258,2
260,1
262,2
263,4
264,7
267,4
266,8
265,2
262,5
255
252,8
249,6
254,2
259,4
260,8
261,6
257,2
249,8
235,2
227,4
223,1
221,6
218,5
220,1
222,1
222,9
222,8
222,1
209
201,7
204,5
208,7
213
218,6
221,9
224,6
226,8
229,6
231,4
229,1
232,7
236,6
242,2
251,5
261,5
266,4
280,9
294,4
308,8
328,8
348,2
365,9
387,5
395,9
395,8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77672&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77672&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77672&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'George Udny Yule' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999924589277296
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999924589277296 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77672&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]0.999924589277296[/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=77672&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77672&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
alpha0.999924589277296
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
2283.3278.15.19999999999999
3287283.2996078642423.70039213575802
4287.9286.9997209507550.900279049245228
5279.7287.899932109306-8.19993210930625
6273.2279.700618362806-6.50061836280645
7272.6273.200490216329-0.600490216328694
8274.8272.6000452834012.19995471659877
9277.2274.7998340998252.40016590017507
10277.5277.1998190017550.300180998245196
11278.7277.4999773631341.20002263686604
12279278.6999095054260.300090494574306
13280.1278.9999773699591.10002263004111
14280.8280.0999170464980.700082953501521
15280.1280.799947206239-0.699947206238505
16270.5280.100052783525-9.60005278352469
17260270.500723946918-10.5007239469184
18258.2260.000791867182-1.80079186718177
19260.1258.2001357990161.89986420098387
20262.2260.0998567298682.10014327013238
21263.4262.1998416266781.20015837332181
22264.7263.3999094951901.30009050481033
23267.4264.6999019592352.70009804076449
24266.8267.399796383655-0.59979638365536
25265.2266.800045231079-1.60004523107875
26262.5265.200120660567-2.70012066056722
27255262.500203618050-7.50020361805036
28252.8255.000565595775-2.20056559577526
29249.6252.800165946242-3.20016594624195
30254.2249.6002413268274.59975867317323
31259.4254.1996531288745.20034687112579
32260.8259.3996078380841.40039216191593
33261.6260.7998943954150.800105604585042
34257.2261.599939663458-4.39993966345816
35249.8257.20033180263-7.40033180262986
36235.2249.800558064369-14.6005580643695
37227.4235.201101038635-7.8011010386355
38223.1227.400588286667-4.30058828666722
39221.6223.100324310471-1.50032431047077
40218.5221.600113140541-3.10011314054054
41220.1218.5002337817721.59976621822761
42222.1220.0998793604732.00012063952667
43222.9222.0998491694570.800150830542918
44222.8222.899939660048-0.0999396600475961
45222.1222.800007536522-0.700007536522008
46209222.100052788074-13.1000527880742
47201.7209.000987884448-7.30098788444823
48204.5201.7005505727732.79944942722722
49208.7204.4997888914964.20021110850445
50213208.6996832590454.3003167409552
51218.6212.9996757100075.6003242899933
52221.9218.5995776754983.30042232450211
53224.6221.8997511127672.70024888723270
54226.8224.599796372282.20020362772007
55229.6226.7998340810542.80016591894565
56231.4229.5997888374641.80021116253565
57229.1231.399864244775-2.29986424477525
58232.7229.1001734344253.59982656557517
59236.6232.6997285344773.90027146552293
60242.2236.599705877715.60029412228994
61251.5242.1995776777739.30042232222712
62261.5251.49929864843110.0007013515688
63266.4261.4992458398844.90075416011643
64280.9266.39963043058714.500369569413
65294.4280.89890651665113.5010934833487
66308.8294.39898187278314.4010181272169
67328.8308.79891400881520.0010859911847
68348.2328.79849170365119.4015082963494
69365.9348.19853691823817.7014630817622
70387.5365.89866511987621.6013348801239
71395.9387.4983710277258.40162897227464
72395.8395.899366427087-0.0993664270872614

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 283.3 & 278.1 & 5.19999999999999 \tabularnewline
3 & 287 & 283.299607864242 & 3.70039213575802 \tabularnewline
4 & 287.9 & 286.999720950755 & 0.900279049245228 \tabularnewline
5 & 279.7 & 287.899932109306 & -8.19993210930625 \tabularnewline
6 & 273.2 & 279.700618362806 & -6.50061836280645 \tabularnewline
7 & 272.6 & 273.200490216329 & -0.600490216328694 \tabularnewline
8 & 274.8 & 272.600045283401 & 2.19995471659877 \tabularnewline
9 & 277.2 & 274.799834099825 & 2.40016590017507 \tabularnewline
10 & 277.5 & 277.199819001755 & 0.300180998245196 \tabularnewline
11 & 278.7 & 277.499977363134 & 1.20002263686604 \tabularnewline
12 & 279 & 278.699909505426 & 0.300090494574306 \tabularnewline
13 & 280.1 & 278.999977369959 & 1.10002263004111 \tabularnewline
14 & 280.8 & 280.099917046498 & 0.700082953501521 \tabularnewline
15 & 280.1 & 280.799947206239 & -0.699947206238505 \tabularnewline
16 & 270.5 & 280.100052783525 & -9.60005278352469 \tabularnewline
17 & 260 & 270.500723946918 & -10.5007239469184 \tabularnewline
18 & 258.2 & 260.000791867182 & -1.80079186718177 \tabularnewline
19 & 260.1 & 258.200135799016 & 1.89986420098387 \tabularnewline
20 & 262.2 & 260.099856729868 & 2.10014327013238 \tabularnewline
21 & 263.4 & 262.199841626678 & 1.20015837332181 \tabularnewline
22 & 264.7 & 263.399909495190 & 1.30009050481033 \tabularnewline
23 & 267.4 & 264.699901959235 & 2.70009804076449 \tabularnewline
24 & 266.8 & 267.399796383655 & -0.59979638365536 \tabularnewline
25 & 265.2 & 266.800045231079 & -1.60004523107875 \tabularnewline
26 & 262.5 & 265.200120660567 & -2.70012066056722 \tabularnewline
27 & 255 & 262.500203618050 & -7.50020361805036 \tabularnewline
28 & 252.8 & 255.000565595775 & -2.20056559577526 \tabularnewline
29 & 249.6 & 252.800165946242 & -3.20016594624195 \tabularnewline
30 & 254.2 & 249.600241326827 & 4.59975867317323 \tabularnewline
31 & 259.4 & 254.199653128874 & 5.20034687112579 \tabularnewline
32 & 260.8 & 259.399607838084 & 1.40039216191593 \tabularnewline
33 & 261.6 & 260.799894395415 & 0.800105604585042 \tabularnewline
34 & 257.2 & 261.599939663458 & -4.39993966345816 \tabularnewline
35 & 249.8 & 257.20033180263 & -7.40033180262986 \tabularnewline
36 & 235.2 & 249.800558064369 & -14.6005580643695 \tabularnewline
37 & 227.4 & 235.201101038635 & -7.8011010386355 \tabularnewline
38 & 223.1 & 227.400588286667 & -4.30058828666722 \tabularnewline
39 & 221.6 & 223.100324310471 & -1.50032431047077 \tabularnewline
40 & 218.5 & 221.600113140541 & -3.10011314054054 \tabularnewline
41 & 220.1 & 218.500233781772 & 1.59976621822761 \tabularnewline
42 & 222.1 & 220.099879360473 & 2.00012063952667 \tabularnewline
43 & 222.9 & 222.099849169457 & 0.800150830542918 \tabularnewline
44 & 222.8 & 222.899939660048 & -0.0999396600475961 \tabularnewline
45 & 222.1 & 222.800007536522 & -0.700007536522008 \tabularnewline
46 & 209 & 222.100052788074 & -13.1000527880742 \tabularnewline
47 & 201.7 & 209.000987884448 & -7.30098788444823 \tabularnewline
48 & 204.5 & 201.700550572773 & 2.79944942722722 \tabularnewline
49 & 208.7 & 204.499788891496 & 4.20021110850445 \tabularnewline
50 & 213 & 208.699683259045 & 4.3003167409552 \tabularnewline
51 & 218.6 & 212.999675710007 & 5.6003242899933 \tabularnewline
52 & 221.9 & 218.599577675498 & 3.30042232450211 \tabularnewline
53 & 224.6 & 221.899751112767 & 2.70024888723270 \tabularnewline
54 & 226.8 & 224.59979637228 & 2.20020362772007 \tabularnewline
55 & 229.6 & 226.799834081054 & 2.80016591894565 \tabularnewline
56 & 231.4 & 229.599788837464 & 1.80021116253565 \tabularnewline
57 & 229.1 & 231.399864244775 & -2.29986424477525 \tabularnewline
58 & 232.7 & 229.100173434425 & 3.59982656557517 \tabularnewline
59 & 236.6 & 232.699728534477 & 3.90027146552293 \tabularnewline
60 & 242.2 & 236.59970587771 & 5.60029412228994 \tabularnewline
61 & 251.5 & 242.199577677773 & 9.30042232222712 \tabularnewline
62 & 261.5 & 251.499298648431 & 10.0007013515688 \tabularnewline
63 & 266.4 & 261.499245839884 & 4.90075416011643 \tabularnewline
64 & 280.9 & 266.399630430587 & 14.500369569413 \tabularnewline
65 & 294.4 & 280.898906516651 & 13.5010934833487 \tabularnewline
66 & 308.8 & 294.398981872783 & 14.4010181272169 \tabularnewline
67 & 328.8 & 308.798914008815 & 20.0010859911847 \tabularnewline
68 & 348.2 & 328.798491703651 & 19.4015082963494 \tabularnewline
69 & 365.9 & 348.198536918238 & 17.7014630817622 \tabularnewline
70 & 387.5 & 365.898665119876 & 21.6013348801239 \tabularnewline
71 & 395.9 & 387.498371027725 & 8.40162897227464 \tabularnewline
72 & 395.8 & 395.899366427087 & -0.0993664270872614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77672&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]283.3[/C][C]278.1[/C][C]5.19999999999999[/C][/ROW]
[ROW][C]3[/C][C]287[/C][C]283.299607864242[/C][C]3.70039213575802[/C][/ROW]
[ROW][C]4[/C][C]287.9[/C][C]286.999720950755[/C][C]0.900279049245228[/C][/ROW]
[ROW][C]5[/C][C]279.7[/C][C]287.899932109306[/C][C]-8.19993210930625[/C][/ROW]
[ROW][C]6[/C][C]273.2[/C][C]279.700618362806[/C][C]-6.50061836280645[/C][/ROW]
[ROW][C]7[/C][C]272.6[/C][C]273.200490216329[/C][C]-0.600490216328694[/C][/ROW]
[ROW][C]8[/C][C]274.8[/C][C]272.600045283401[/C][C]2.19995471659877[/C][/ROW]
[ROW][C]9[/C][C]277.2[/C][C]274.799834099825[/C][C]2.40016590017507[/C][/ROW]
[ROW][C]10[/C][C]277.5[/C][C]277.199819001755[/C][C]0.300180998245196[/C][/ROW]
[ROW][C]11[/C][C]278.7[/C][C]277.499977363134[/C][C]1.20002263686604[/C][/ROW]
[ROW][C]12[/C][C]279[/C][C]278.699909505426[/C][C]0.300090494574306[/C][/ROW]
[ROW][C]13[/C][C]280.1[/C][C]278.999977369959[/C][C]1.10002263004111[/C][/ROW]
[ROW][C]14[/C][C]280.8[/C][C]280.099917046498[/C][C]0.700082953501521[/C][/ROW]
[ROW][C]15[/C][C]280.1[/C][C]280.799947206239[/C][C]-0.699947206238505[/C][/ROW]
[ROW][C]16[/C][C]270.5[/C][C]280.100052783525[/C][C]-9.60005278352469[/C][/ROW]
[ROW][C]17[/C][C]260[/C][C]270.500723946918[/C][C]-10.5007239469184[/C][/ROW]
[ROW][C]18[/C][C]258.2[/C][C]260.000791867182[/C][C]-1.80079186718177[/C][/ROW]
[ROW][C]19[/C][C]260.1[/C][C]258.200135799016[/C][C]1.89986420098387[/C][/ROW]
[ROW][C]20[/C][C]262.2[/C][C]260.099856729868[/C][C]2.10014327013238[/C][/ROW]
[ROW][C]21[/C][C]263.4[/C][C]262.199841626678[/C][C]1.20015837332181[/C][/ROW]
[ROW][C]22[/C][C]264.7[/C][C]263.399909495190[/C][C]1.30009050481033[/C][/ROW]
[ROW][C]23[/C][C]267.4[/C][C]264.699901959235[/C][C]2.70009804076449[/C][/ROW]
[ROW][C]24[/C][C]266.8[/C][C]267.399796383655[/C][C]-0.59979638365536[/C][/ROW]
[ROW][C]25[/C][C]265.2[/C][C]266.800045231079[/C][C]-1.60004523107875[/C][/ROW]
[ROW][C]26[/C][C]262.5[/C][C]265.200120660567[/C][C]-2.70012066056722[/C][/ROW]
[ROW][C]27[/C][C]255[/C][C]262.500203618050[/C][C]-7.50020361805036[/C][/ROW]
[ROW][C]28[/C][C]252.8[/C][C]255.000565595775[/C][C]-2.20056559577526[/C][/ROW]
[ROW][C]29[/C][C]249.6[/C][C]252.800165946242[/C][C]-3.20016594624195[/C][/ROW]
[ROW][C]30[/C][C]254.2[/C][C]249.600241326827[/C][C]4.59975867317323[/C][/ROW]
[ROW][C]31[/C][C]259.4[/C][C]254.199653128874[/C][C]5.20034687112579[/C][/ROW]
[ROW][C]32[/C][C]260.8[/C][C]259.399607838084[/C][C]1.40039216191593[/C][/ROW]
[ROW][C]33[/C][C]261.6[/C][C]260.799894395415[/C][C]0.800105604585042[/C][/ROW]
[ROW][C]34[/C][C]257.2[/C][C]261.599939663458[/C][C]-4.39993966345816[/C][/ROW]
[ROW][C]35[/C][C]249.8[/C][C]257.20033180263[/C][C]-7.40033180262986[/C][/ROW]
[ROW][C]36[/C][C]235.2[/C][C]249.800558064369[/C][C]-14.6005580643695[/C][/ROW]
[ROW][C]37[/C][C]227.4[/C][C]235.201101038635[/C][C]-7.8011010386355[/C][/ROW]
[ROW][C]38[/C][C]223.1[/C][C]227.400588286667[/C][C]-4.30058828666722[/C][/ROW]
[ROW][C]39[/C][C]221.6[/C][C]223.100324310471[/C][C]-1.50032431047077[/C][/ROW]
[ROW][C]40[/C][C]218.5[/C][C]221.600113140541[/C][C]-3.10011314054054[/C][/ROW]
[ROW][C]41[/C][C]220.1[/C][C]218.500233781772[/C][C]1.59976621822761[/C][/ROW]
[ROW][C]42[/C][C]222.1[/C][C]220.099879360473[/C][C]2.00012063952667[/C][/ROW]
[ROW][C]43[/C][C]222.9[/C][C]222.099849169457[/C][C]0.800150830542918[/C][/ROW]
[ROW][C]44[/C][C]222.8[/C][C]222.899939660048[/C][C]-0.0999396600475961[/C][/ROW]
[ROW][C]45[/C][C]222.1[/C][C]222.800007536522[/C][C]-0.700007536522008[/C][/ROW]
[ROW][C]46[/C][C]209[/C][C]222.100052788074[/C][C]-13.1000527880742[/C][/ROW]
[ROW][C]47[/C][C]201.7[/C][C]209.000987884448[/C][C]-7.30098788444823[/C][/ROW]
[ROW][C]48[/C][C]204.5[/C][C]201.700550572773[/C][C]2.79944942722722[/C][/ROW]
[ROW][C]49[/C][C]208.7[/C][C]204.499788891496[/C][C]4.20021110850445[/C][/ROW]
[ROW][C]50[/C][C]213[/C][C]208.699683259045[/C][C]4.3003167409552[/C][/ROW]
[ROW][C]51[/C][C]218.6[/C][C]212.999675710007[/C][C]5.6003242899933[/C][/ROW]
[ROW][C]52[/C][C]221.9[/C][C]218.599577675498[/C][C]3.30042232450211[/C][/ROW]
[ROW][C]53[/C][C]224.6[/C][C]221.899751112767[/C][C]2.70024888723270[/C][/ROW]
[ROW][C]54[/C][C]226.8[/C][C]224.59979637228[/C][C]2.20020362772007[/C][/ROW]
[ROW][C]55[/C][C]229.6[/C][C]226.799834081054[/C][C]2.80016591894565[/C][/ROW]
[ROW][C]56[/C][C]231.4[/C][C]229.599788837464[/C][C]1.80021116253565[/C][/ROW]
[ROW][C]57[/C][C]229.1[/C][C]231.399864244775[/C][C]-2.29986424477525[/C][/ROW]
[ROW][C]58[/C][C]232.7[/C][C]229.100173434425[/C][C]3.59982656557517[/C][/ROW]
[ROW][C]59[/C][C]236.6[/C][C]232.699728534477[/C][C]3.90027146552293[/C][/ROW]
[ROW][C]60[/C][C]242.2[/C][C]236.59970587771[/C][C]5.60029412228994[/C][/ROW]
[ROW][C]61[/C][C]251.5[/C][C]242.199577677773[/C][C]9.30042232222712[/C][/ROW]
[ROW][C]62[/C][C]261.5[/C][C]251.499298648431[/C][C]10.0007013515688[/C][/ROW]
[ROW][C]63[/C][C]266.4[/C][C]261.499245839884[/C][C]4.90075416011643[/C][/ROW]
[ROW][C]64[/C][C]280.9[/C][C]266.399630430587[/C][C]14.500369569413[/C][/ROW]
[ROW][C]65[/C][C]294.4[/C][C]280.898906516651[/C][C]13.5010934833487[/C][/ROW]
[ROW][C]66[/C][C]308.8[/C][C]294.398981872783[/C][C]14.4010181272169[/C][/ROW]
[ROW][C]67[/C][C]328.8[/C][C]308.798914008815[/C][C]20.0010859911847[/C][/ROW]
[ROW][C]68[/C][C]348.2[/C][C]328.798491703651[/C][C]19.4015082963494[/C][/ROW]
[ROW][C]69[/C][C]365.9[/C][C]348.198536918238[/C][C]17.7014630817622[/C][/ROW]
[ROW][C]70[/C][C]387.5[/C][C]365.898665119876[/C][C]21.6013348801239[/C][/ROW]
[ROW][C]71[/C][C]395.9[/C][C]387.498371027725[/C][C]8.40162897227464[/C][/ROW]
[ROW][C]72[/C][C]395.8[/C][C]395.899366427087[/C][C]-0.0993664270872614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77672&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77672&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
2283.3278.15.19999999999999
3287283.2996078642423.70039213575802
4287.9286.9997209507550.900279049245228
5279.7287.899932109306-8.19993210930625
6273.2279.700618362806-6.50061836280645
7272.6273.200490216329-0.600490216328694
8274.8272.6000452834012.19995471659877
9277.2274.7998340998252.40016590017507
10277.5277.1998190017550.300180998245196
11278.7277.4999773631341.20002263686604
12279278.6999095054260.300090494574306
13280.1278.9999773699591.10002263004111
14280.8280.0999170464980.700082953501521
15280.1280.799947206239-0.699947206238505
16270.5280.100052783525-9.60005278352469
17260270.500723946918-10.5007239469184
18258.2260.000791867182-1.80079186718177
19260.1258.2001357990161.89986420098387
20262.2260.0998567298682.10014327013238
21263.4262.1998416266781.20015837332181
22264.7263.3999094951901.30009050481033
23267.4264.6999019592352.70009804076449
24266.8267.399796383655-0.59979638365536
25265.2266.800045231079-1.60004523107875
26262.5265.200120660567-2.70012066056722
27255262.500203618050-7.50020361805036
28252.8255.000565595775-2.20056559577526
29249.6252.800165946242-3.20016594624195
30254.2249.6002413268274.59975867317323
31259.4254.1996531288745.20034687112579
32260.8259.3996078380841.40039216191593
33261.6260.7998943954150.800105604585042
34257.2261.599939663458-4.39993966345816
35249.8257.20033180263-7.40033180262986
36235.2249.800558064369-14.6005580643695
37227.4235.201101038635-7.8011010386355
38223.1227.400588286667-4.30058828666722
39221.6223.100324310471-1.50032431047077
40218.5221.600113140541-3.10011314054054
41220.1218.5002337817721.59976621822761
42222.1220.0998793604732.00012063952667
43222.9222.0998491694570.800150830542918
44222.8222.899939660048-0.0999396600475961
45222.1222.800007536522-0.700007536522008
46209222.100052788074-13.1000527880742
47201.7209.000987884448-7.30098788444823
48204.5201.7005505727732.79944942722722
49208.7204.4997888914964.20021110850445
50213208.6996832590454.3003167409552
51218.6212.9996757100075.6003242899933
52221.9218.5995776754983.30042232450211
53224.6221.8997511127672.70024888723270
54226.8224.599796372282.20020362772007
55229.6226.7998340810542.80016591894565
56231.4229.5997888374641.80021116253565
57229.1231.399864244775-2.29986424477525
58232.7229.1001734344253.59982656557517
59236.6232.6997285344773.90027146552293
60242.2236.599705877715.60029412228994
61251.5242.1995776777739.30042232222712
62261.5251.49929864843110.0007013515688
63266.4261.4992458398844.90075416011643
64280.9266.39963043058714.500369569413
65294.4280.89890651665113.5010934833487
66308.8294.39898187278314.4010181272169
67328.8308.79891400881520.0010859911847
68348.2328.79849170365119.4015082963494
69365.9348.19853691823817.7014630817622
70387.5365.89866511987621.6013348801239
71395.9387.4983710277258.40162897227464
72395.8395.899366427087-0.0993664270872614







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
73395.800007493294381.842329321405409.757685665183
74395.800007493294376.061613980661415.538401005928
75395.800007493294371.625815118592419.974199867997
76395.800007493294367.886229972531423.713785014058
77395.800007493294364.591573152747427.008441833841
78395.800007493294361.612966490923429.987048495665
79395.800007493294358.873849136279432.726165850309
80395.800007493294356.324336890796435.275678095792
81395.800007493294353.929779788797437.670235197791
82395.800007493294351.664949245502439.935065741086
83395.800007493294349.510799625309442.08921536128
84395.800007493294347.452534306424444.147480680164

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 395.800007493294 & 381.842329321405 & 409.757685665183 \tabularnewline
74 & 395.800007493294 & 376.061613980661 & 415.538401005928 \tabularnewline
75 & 395.800007493294 & 371.625815118592 & 419.974199867997 \tabularnewline
76 & 395.800007493294 & 367.886229972531 & 423.713785014058 \tabularnewline
77 & 395.800007493294 & 364.591573152747 & 427.008441833841 \tabularnewline
78 & 395.800007493294 & 361.612966490923 & 429.987048495665 \tabularnewline
79 & 395.800007493294 & 358.873849136279 & 432.726165850309 \tabularnewline
80 & 395.800007493294 & 356.324336890796 & 435.275678095792 \tabularnewline
81 & 395.800007493294 & 353.929779788797 & 437.670235197791 \tabularnewline
82 & 395.800007493294 & 351.664949245502 & 439.935065741086 \tabularnewline
83 & 395.800007493294 & 349.510799625309 & 442.08921536128 \tabularnewline
84 & 395.800007493294 & 347.452534306424 & 444.147480680164 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77672&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]395.800007493294[/C][C]381.842329321405[/C][C]409.757685665183[/C][/ROW]
[ROW][C]74[/C][C]395.800007493294[/C][C]376.061613980661[/C][C]415.538401005928[/C][/ROW]
[ROW][C]75[/C][C]395.800007493294[/C][C]371.625815118592[/C][C]419.974199867997[/C][/ROW]
[ROW][C]76[/C][C]395.800007493294[/C][C]367.886229972531[/C][C]423.713785014058[/C][/ROW]
[ROW][C]77[/C][C]395.800007493294[/C][C]364.591573152747[/C][C]427.008441833841[/C][/ROW]
[ROW][C]78[/C][C]395.800007493294[/C][C]361.612966490923[/C][C]429.987048495665[/C][/ROW]
[ROW][C]79[/C][C]395.800007493294[/C][C]358.873849136279[/C][C]432.726165850309[/C][/ROW]
[ROW][C]80[/C][C]395.800007493294[/C][C]356.324336890796[/C][C]435.275678095792[/C][/ROW]
[ROW][C]81[/C][C]395.800007493294[/C][C]353.929779788797[/C][C]437.670235197791[/C][/ROW]
[ROW][C]82[/C][C]395.800007493294[/C][C]351.664949245502[/C][C]439.935065741086[/C][/ROW]
[ROW][C]83[/C][C]395.800007493294[/C][C]349.510799625309[/C][C]442.08921536128[/C][/ROW]
[ROW][C]84[/C][C]395.800007493294[/C][C]347.452534306424[/C][C]444.147480680164[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77672&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77672&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
73395.800007493294381.842329321405409.757685665183
74395.800007493294376.061613980661415.538401005928
75395.800007493294371.625815118592419.974199867997
76395.800007493294367.886229972531423.713785014058
77395.800007493294364.591573152747427.008441833841
78395.800007493294361.612966490923429.987048495665
79395.800007493294358.873849136279432.726165850309
80395.800007493294356.324336890796435.275678095792
81395.800007493294353.929779788797437.670235197791
82395.800007493294351.664949245502439.935065741086
83395.800007493294349.510799625309442.08921536128
84395.800007493294347.452534306424444.147480680164



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')