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Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 19 May 2011 17:08:50 +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/2011/May/19/t1305824721tgbo67h6o6a1z5v.htm/, Retrieved Sat, 11 May 2024 12:58:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122153, Retrieved Sat, 11 May 2024 12:58:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [IKO opdracht 10 w...] [2011-05-19 17:08:50] [3f8170910ab21fde7eba151af40022ac] [Current]
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Dataseries X:
3893.9
3799.2
3769.6
3768.6
3854.9
3778.5
3779.7
3803.2
3900.3
3792.6
3767.4
3752.6
3829.6
3722.6
3692.9
3681
3762.9
3661.7
3633.1
3621.5
3710
3619.4
3595.2
3573.2
3650.1
3554.2
3537
3528.6
3597.1
3521.9
3516.5
3515.7
3600.2
3517.1
3513.7
3528.2
3608.3
3502.5
3502.5
3495.3
3543.8
3425.3
3418.4
3406.4
3446.1
3341.1
3347
3354.9
3399
3288.9
3279
3275.2
3314
3227.1
3225.3
3228.6
3287.1
3210.1
3213.1
3228
3287
3211
3199.8
3166.3
3164
3156.7
3156
3165.5
3179.2
3182.5
3179.5
3193.5
3219.6
3221.9
3210.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122153&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122153&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122153&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.445237169833869
beta0.612003677861392
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.445237169833869 \tabularnewline
beta & 0.612003677861392 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122153&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]0.445237169833869[/C][/ROW]
[ROW][C]beta[/C][C]0.612003677861392[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122153&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122153&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
alpha0.445237169833869
beta0.612003677861392
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
33769.63704.565.1000000000004
43768.63656.52382948956112.076170510439
53854.93660.00247161576194.897528384241
63778.53753.463261726825.0367382732024
73779.73778.117894713491.58210528650579
83803.23792.7607560734810.4392439265207
93900.33814.1917007945386.1082992054698
103792.63892.77669518382-100.176695183817
113767.43861.12386024016-93.7238602401621
123752.63806.80555386658-54.2055538665822
133829.63755.3119692522874.288030747723
143722.63781.27101128997-58.6710112899746
153692.93732.04467048096-39.1446704809555
1636813680.845776963750.154223036247913
173762.93647.18623531314115.713764686859
183661.73696.50856870722-34.8085687072203
193633.13669.32788939067-36.2278893906732
203621.53631.64365462591-10.1436546259124
2137103602.80907888328107.190921116724
223619.43655.42432709343-36.0243270934257
233595.23634.45867042543-39.2586704254254
243573.23601.3554949804-28.1554949803985
253650.13565.5238656264784.5761343735298
263554.23602.93042685883-48.7304268588314
2735373567.70555467901-30.7055546790061
283528.63532.13916768493-3.53916768492809
293597.13507.7038895250489.396110474961
303521.93549.00611036664-27.1061103666352
313516.53531.05115524126-14.5511552412599
323515.73514.721135286890.97886471310676
333600.23505.5723851635594.627614836454
343517.13563.90431408603-46.8043140860273
353513.73546.51193416001-32.8119341600068
363528.23526.408663407541.79133659246281
373608.33522.2001705416586.0998294583528
383502.53578.99001818999-76.4900181899939
393502.53542.54630305138-40.0463030513847
403495.33511.41659611134-16.1165961113352
413543.83486.5497246973157.2502753026897
423425.33509.9484549551-84.6484549550992
433418.43447.10301076511-28.7030107651117
443406.43401.345366674995.05463332500585
453446.13371.9952012862274.1047987137754
463341.13393.58131450031-52.4813145003081
4733473344.506120241842.49387975816398
483354.93320.587475164734.3125248353044
4933993320.18538316378.8146168369981
503288.93361.07321824492-72.1732182449191
5132793315.06940871984-36.0694087198367
523275.23275.31191993245-0.111919932451201
5333143251.5335449844762.4664550155285
543227.13272.63867211733-45.538672117329
553225.33233.24721573869-7.94721573868628
563228.63208.4273617380220.1726382619786
573287.13201.6242893029985.4757106970142
583210.13247.18757366303-37.0875736630287
593213.13228.07525444115-14.9752544411522
6032283214.7276027039913.2723972960116
6132873217.5734083552669.4265916447443
6232113264.3389773553-53.3389773552994
633199.83241.91058538151-42.1105853815075
643166.33213.00691282751-46.7069128275116
6531643169.32976791475-5.32976791474857
663156.73142.6229745724214.0770254275817
6731563128.3926103809627.6073896190378
683165.53127.7091161011437.7908838988646
693179.23141.8572084667337.3427915332682
703182.53165.9812106806116.5187893193915
713179.53185.33474488548-5.83474488547881
723193.53193.145763907370.35423609262898
733219.63203.8088719582915.7911280417143
743221.93225.6479318105-3.74793181049927
753210.13237.76621406174-27.6662140617373

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 3769.6 & 3704.5 & 65.1000000000004 \tabularnewline
4 & 3768.6 & 3656.52382948956 & 112.076170510439 \tabularnewline
5 & 3854.9 & 3660.00247161576 & 194.897528384241 \tabularnewline
6 & 3778.5 & 3753.4632617268 & 25.0367382732024 \tabularnewline
7 & 3779.7 & 3778.11789471349 & 1.58210528650579 \tabularnewline
8 & 3803.2 & 3792.76075607348 & 10.4392439265207 \tabularnewline
9 & 3900.3 & 3814.19170079453 & 86.1082992054698 \tabularnewline
10 & 3792.6 & 3892.77669518382 & -100.176695183817 \tabularnewline
11 & 3767.4 & 3861.12386024016 & -93.7238602401621 \tabularnewline
12 & 3752.6 & 3806.80555386658 & -54.2055538665822 \tabularnewline
13 & 3829.6 & 3755.31196925228 & 74.288030747723 \tabularnewline
14 & 3722.6 & 3781.27101128997 & -58.6710112899746 \tabularnewline
15 & 3692.9 & 3732.04467048096 & -39.1446704809555 \tabularnewline
16 & 3681 & 3680.84577696375 & 0.154223036247913 \tabularnewline
17 & 3762.9 & 3647.18623531314 & 115.713764686859 \tabularnewline
18 & 3661.7 & 3696.50856870722 & -34.8085687072203 \tabularnewline
19 & 3633.1 & 3669.32788939067 & -36.2278893906732 \tabularnewline
20 & 3621.5 & 3631.64365462591 & -10.1436546259124 \tabularnewline
21 & 3710 & 3602.80907888328 & 107.190921116724 \tabularnewline
22 & 3619.4 & 3655.42432709343 & -36.0243270934257 \tabularnewline
23 & 3595.2 & 3634.45867042543 & -39.2586704254254 \tabularnewline
24 & 3573.2 & 3601.3554949804 & -28.1554949803985 \tabularnewline
25 & 3650.1 & 3565.52386562647 & 84.5761343735298 \tabularnewline
26 & 3554.2 & 3602.93042685883 & -48.7304268588314 \tabularnewline
27 & 3537 & 3567.70555467901 & -30.7055546790061 \tabularnewline
28 & 3528.6 & 3532.13916768493 & -3.53916768492809 \tabularnewline
29 & 3597.1 & 3507.70388952504 & 89.396110474961 \tabularnewline
30 & 3521.9 & 3549.00611036664 & -27.1061103666352 \tabularnewline
31 & 3516.5 & 3531.05115524126 & -14.5511552412599 \tabularnewline
32 & 3515.7 & 3514.72113528689 & 0.97886471310676 \tabularnewline
33 & 3600.2 & 3505.57238516355 & 94.627614836454 \tabularnewline
34 & 3517.1 & 3563.90431408603 & -46.8043140860273 \tabularnewline
35 & 3513.7 & 3546.51193416001 & -32.8119341600068 \tabularnewline
36 & 3528.2 & 3526.40866340754 & 1.79133659246281 \tabularnewline
37 & 3608.3 & 3522.20017054165 & 86.0998294583528 \tabularnewline
38 & 3502.5 & 3578.99001818999 & -76.4900181899939 \tabularnewline
39 & 3502.5 & 3542.54630305138 & -40.0463030513847 \tabularnewline
40 & 3495.3 & 3511.41659611134 & -16.1165961113352 \tabularnewline
41 & 3543.8 & 3486.54972469731 & 57.2502753026897 \tabularnewline
42 & 3425.3 & 3509.9484549551 & -84.6484549550992 \tabularnewline
43 & 3418.4 & 3447.10301076511 & -28.7030107651117 \tabularnewline
44 & 3406.4 & 3401.34536667499 & 5.05463332500585 \tabularnewline
45 & 3446.1 & 3371.99520128622 & 74.1047987137754 \tabularnewline
46 & 3341.1 & 3393.58131450031 & -52.4813145003081 \tabularnewline
47 & 3347 & 3344.50612024184 & 2.49387975816398 \tabularnewline
48 & 3354.9 & 3320.5874751647 & 34.3125248353044 \tabularnewline
49 & 3399 & 3320.185383163 & 78.8146168369981 \tabularnewline
50 & 3288.9 & 3361.07321824492 & -72.1732182449191 \tabularnewline
51 & 3279 & 3315.06940871984 & -36.0694087198367 \tabularnewline
52 & 3275.2 & 3275.31191993245 & -0.111919932451201 \tabularnewline
53 & 3314 & 3251.53354498447 & 62.4664550155285 \tabularnewline
54 & 3227.1 & 3272.63867211733 & -45.538672117329 \tabularnewline
55 & 3225.3 & 3233.24721573869 & -7.94721573868628 \tabularnewline
56 & 3228.6 & 3208.42736173802 & 20.1726382619786 \tabularnewline
57 & 3287.1 & 3201.62428930299 & 85.4757106970142 \tabularnewline
58 & 3210.1 & 3247.18757366303 & -37.0875736630287 \tabularnewline
59 & 3213.1 & 3228.07525444115 & -14.9752544411522 \tabularnewline
60 & 3228 & 3214.72760270399 & 13.2723972960116 \tabularnewline
61 & 3287 & 3217.57340835526 & 69.4265916447443 \tabularnewline
62 & 3211 & 3264.3389773553 & -53.3389773552994 \tabularnewline
63 & 3199.8 & 3241.91058538151 & -42.1105853815075 \tabularnewline
64 & 3166.3 & 3213.00691282751 & -46.7069128275116 \tabularnewline
65 & 3164 & 3169.32976791475 & -5.32976791474857 \tabularnewline
66 & 3156.7 & 3142.62297457242 & 14.0770254275817 \tabularnewline
67 & 3156 & 3128.39261038096 & 27.6073896190378 \tabularnewline
68 & 3165.5 & 3127.70911610114 & 37.7908838988646 \tabularnewline
69 & 3179.2 & 3141.85720846673 & 37.3427915332682 \tabularnewline
70 & 3182.5 & 3165.98121068061 & 16.5187893193915 \tabularnewline
71 & 3179.5 & 3185.33474488548 & -5.83474488547881 \tabularnewline
72 & 3193.5 & 3193.14576390737 & 0.35423609262898 \tabularnewline
73 & 3219.6 & 3203.80887195829 & 15.7911280417143 \tabularnewline
74 & 3221.9 & 3225.6479318105 & -3.74793181049927 \tabularnewline
75 & 3210.1 & 3237.76621406174 & -27.6662140617373 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122153&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]3769.6[/C][C]3704.5[/C][C]65.1000000000004[/C][/ROW]
[ROW][C]4[/C][C]3768.6[/C][C]3656.52382948956[/C][C]112.076170510439[/C][/ROW]
[ROW][C]5[/C][C]3854.9[/C][C]3660.00247161576[/C][C]194.897528384241[/C][/ROW]
[ROW][C]6[/C][C]3778.5[/C][C]3753.4632617268[/C][C]25.0367382732024[/C][/ROW]
[ROW][C]7[/C][C]3779.7[/C][C]3778.11789471349[/C][C]1.58210528650579[/C][/ROW]
[ROW][C]8[/C][C]3803.2[/C][C]3792.76075607348[/C][C]10.4392439265207[/C][/ROW]
[ROW][C]9[/C][C]3900.3[/C][C]3814.19170079453[/C][C]86.1082992054698[/C][/ROW]
[ROW][C]10[/C][C]3792.6[/C][C]3892.77669518382[/C][C]-100.176695183817[/C][/ROW]
[ROW][C]11[/C][C]3767.4[/C][C]3861.12386024016[/C][C]-93.7238602401621[/C][/ROW]
[ROW][C]12[/C][C]3752.6[/C][C]3806.80555386658[/C][C]-54.2055538665822[/C][/ROW]
[ROW][C]13[/C][C]3829.6[/C][C]3755.31196925228[/C][C]74.288030747723[/C][/ROW]
[ROW][C]14[/C][C]3722.6[/C][C]3781.27101128997[/C][C]-58.6710112899746[/C][/ROW]
[ROW][C]15[/C][C]3692.9[/C][C]3732.04467048096[/C][C]-39.1446704809555[/C][/ROW]
[ROW][C]16[/C][C]3681[/C][C]3680.84577696375[/C][C]0.154223036247913[/C][/ROW]
[ROW][C]17[/C][C]3762.9[/C][C]3647.18623531314[/C][C]115.713764686859[/C][/ROW]
[ROW][C]18[/C][C]3661.7[/C][C]3696.50856870722[/C][C]-34.8085687072203[/C][/ROW]
[ROW][C]19[/C][C]3633.1[/C][C]3669.32788939067[/C][C]-36.2278893906732[/C][/ROW]
[ROW][C]20[/C][C]3621.5[/C][C]3631.64365462591[/C][C]-10.1436546259124[/C][/ROW]
[ROW][C]21[/C][C]3710[/C][C]3602.80907888328[/C][C]107.190921116724[/C][/ROW]
[ROW][C]22[/C][C]3619.4[/C][C]3655.42432709343[/C][C]-36.0243270934257[/C][/ROW]
[ROW][C]23[/C][C]3595.2[/C][C]3634.45867042543[/C][C]-39.2586704254254[/C][/ROW]
[ROW][C]24[/C][C]3573.2[/C][C]3601.3554949804[/C][C]-28.1554949803985[/C][/ROW]
[ROW][C]25[/C][C]3650.1[/C][C]3565.52386562647[/C][C]84.5761343735298[/C][/ROW]
[ROW][C]26[/C][C]3554.2[/C][C]3602.93042685883[/C][C]-48.7304268588314[/C][/ROW]
[ROW][C]27[/C][C]3537[/C][C]3567.70555467901[/C][C]-30.7055546790061[/C][/ROW]
[ROW][C]28[/C][C]3528.6[/C][C]3532.13916768493[/C][C]-3.53916768492809[/C][/ROW]
[ROW][C]29[/C][C]3597.1[/C][C]3507.70388952504[/C][C]89.396110474961[/C][/ROW]
[ROW][C]30[/C][C]3521.9[/C][C]3549.00611036664[/C][C]-27.1061103666352[/C][/ROW]
[ROW][C]31[/C][C]3516.5[/C][C]3531.05115524126[/C][C]-14.5511552412599[/C][/ROW]
[ROW][C]32[/C][C]3515.7[/C][C]3514.72113528689[/C][C]0.97886471310676[/C][/ROW]
[ROW][C]33[/C][C]3600.2[/C][C]3505.57238516355[/C][C]94.627614836454[/C][/ROW]
[ROW][C]34[/C][C]3517.1[/C][C]3563.90431408603[/C][C]-46.8043140860273[/C][/ROW]
[ROW][C]35[/C][C]3513.7[/C][C]3546.51193416001[/C][C]-32.8119341600068[/C][/ROW]
[ROW][C]36[/C][C]3528.2[/C][C]3526.40866340754[/C][C]1.79133659246281[/C][/ROW]
[ROW][C]37[/C][C]3608.3[/C][C]3522.20017054165[/C][C]86.0998294583528[/C][/ROW]
[ROW][C]38[/C][C]3502.5[/C][C]3578.99001818999[/C][C]-76.4900181899939[/C][/ROW]
[ROW][C]39[/C][C]3502.5[/C][C]3542.54630305138[/C][C]-40.0463030513847[/C][/ROW]
[ROW][C]40[/C][C]3495.3[/C][C]3511.41659611134[/C][C]-16.1165961113352[/C][/ROW]
[ROW][C]41[/C][C]3543.8[/C][C]3486.54972469731[/C][C]57.2502753026897[/C][/ROW]
[ROW][C]42[/C][C]3425.3[/C][C]3509.9484549551[/C][C]-84.6484549550992[/C][/ROW]
[ROW][C]43[/C][C]3418.4[/C][C]3447.10301076511[/C][C]-28.7030107651117[/C][/ROW]
[ROW][C]44[/C][C]3406.4[/C][C]3401.34536667499[/C][C]5.05463332500585[/C][/ROW]
[ROW][C]45[/C][C]3446.1[/C][C]3371.99520128622[/C][C]74.1047987137754[/C][/ROW]
[ROW][C]46[/C][C]3341.1[/C][C]3393.58131450031[/C][C]-52.4813145003081[/C][/ROW]
[ROW][C]47[/C][C]3347[/C][C]3344.50612024184[/C][C]2.49387975816398[/C][/ROW]
[ROW][C]48[/C][C]3354.9[/C][C]3320.5874751647[/C][C]34.3125248353044[/C][/ROW]
[ROW][C]49[/C][C]3399[/C][C]3320.185383163[/C][C]78.8146168369981[/C][/ROW]
[ROW][C]50[/C][C]3288.9[/C][C]3361.07321824492[/C][C]-72.1732182449191[/C][/ROW]
[ROW][C]51[/C][C]3279[/C][C]3315.06940871984[/C][C]-36.0694087198367[/C][/ROW]
[ROW][C]52[/C][C]3275.2[/C][C]3275.31191993245[/C][C]-0.111919932451201[/C][/ROW]
[ROW][C]53[/C][C]3314[/C][C]3251.53354498447[/C][C]62.4664550155285[/C][/ROW]
[ROW][C]54[/C][C]3227.1[/C][C]3272.63867211733[/C][C]-45.538672117329[/C][/ROW]
[ROW][C]55[/C][C]3225.3[/C][C]3233.24721573869[/C][C]-7.94721573868628[/C][/ROW]
[ROW][C]56[/C][C]3228.6[/C][C]3208.42736173802[/C][C]20.1726382619786[/C][/ROW]
[ROW][C]57[/C][C]3287.1[/C][C]3201.62428930299[/C][C]85.4757106970142[/C][/ROW]
[ROW][C]58[/C][C]3210.1[/C][C]3247.18757366303[/C][C]-37.0875736630287[/C][/ROW]
[ROW][C]59[/C][C]3213.1[/C][C]3228.07525444115[/C][C]-14.9752544411522[/C][/ROW]
[ROW][C]60[/C][C]3228[/C][C]3214.72760270399[/C][C]13.2723972960116[/C][/ROW]
[ROW][C]61[/C][C]3287[/C][C]3217.57340835526[/C][C]69.4265916447443[/C][/ROW]
[ROW][C]62[/C][C]3211[/C][C]3264.3389773553[/C][C]-53.3389773552994[/C][/ROW]
[ROW][C]63[/C][C]3199.8[/C][C]3241.91058538151[/C][C]-42.1105853815075[/C][/ROW]
[ROW][C]64[/C][C]3166.3[/C][C]3213.00691282751[/C][C]-46.7069128275116[/C][/ROW]
[ROW][C]65[/C][C]3164[/C][C]3169.32976791475[/C][C]-5.32976791474857[/C][/ROW]
[ROW][C]66[/C][C]3156.7[/C][C]3142.62297457242[/C][C]14.0770254275817[/C][/ROW]
[ROW][C]67[/C][C]3156[/C][C]3128.39261038096[/C][C]27.6073896190378[/C][/ROW]
[ROW][C]68[/C][C]3165.5[/C][C]3127.70911610114[/C][C]37.7908838988646[/C][/ROW]
[ROW][C]69[/C][C]3179.2[/C][C]3141.85720846673[/C][C]37.3427915332682[/C][/ROW]
[ROW][C]70[/C][C]3182.5[/C][C]3165.98121068061[/C][C]16.5187893193915[/C][/ROW]
[ROW][C]71[/C][C]3179.5[/C][C]3185.33474488548[/C][C]-5.83474488547881[/C][/ROW]
[ROW][C]72[/C][C]3193.5[/C][C]3193.14576390737[/C][C]0.35423609262898[/C][/ROW]
[ROW][C]73[/C][C]3219.6[/C][C]3203.80887195829[/C][C]15.7911280417143[/C][/ROW]
[ROW][C]74[/C][C]3221.9[/C][C]3225.6479318105[/C][C]-3.74793181049927[/C][/ROW]
[ROW][C]75[/C][C]3210.1[/C][C]3237.76621406174[/C][C]-27.6662140617373[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122153&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122153&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
33769.63704.565.1000000000004
43768.63656.52382948956112.076170510439
53854.93660.00247161576194.897528384241
63778.53753.463261726825.0367382732024
73779.73778.117894713491.58210528650579
83803.23792.7607560734810.4392439265207
93900.33814.1917007945386.1082992054698
103792.63892.77669518382-100.176695183817
113767.43861.12386024016-93.7238602401621
123752.63806.80555386658-54.2055538665822
133829.63755.3119692522874.288030747723
143722.63781.27101128997-58.6710112899746
153692.93732.04467048096-39.1446704809555
1636813680.845776963750.154223036247913
173762.93647.18623531314115.713764686859
183661.73696.50856870722-34.8085687072203
193633.13669.32788939067-36.2278893906732
203621.53631.64365462591-10.1436546259124
2137103602.80907888328107.190921116724
223619.43655.42432709343-36.0243270934257
233595.23634.45867042543-39.2586704254254
243573.23601.3554949804-28.1554949803985
253650.13565.5238656264784.5761343735298
263554.23602.93042685883-48.7304268588314
2735373567.70555467901-30.7055546790061
283528.63532.13916768493-3.53916768492809
293597.13507.7038895250489.396110474961
303521.93549.00611036664-27.1061103666352
313516.53531.05115524126-14.5511552412599
323515.73514.721135286890.97886471310676
333600.23505.5723851635594.627614836454
343517.13563.90431408603-46.8043140860273
353513.73546.51193416001-32.8119341600068
363528.23526.408663407541.79133659246281
373608.33522.2001705416586.0998294583528
383502.53578.99001818999-76.4900181899939
393502.53542.54630305138-40.0463030513847
403495.33511.41659611134-16.1165961113352
413543.83486.5497246973157.2502753026897
423425.33509.9484549551-84.6484549550992
433418.43447.10301076511-28.7030107651117
443406.43401.345366674995.05463332500585
453446.13371.9952012862274.1047987137754
463341.13393.58131450031-52.4813145003081
4733473344.506120241842.49387975816398
483354.93320.587475164734.3125248353044
4933993320.18538316378.8146168369981
503288.93361.07321824492-72.1732182449191
5132793315.06940871984-36.0694087198367
523275.23275.31191993245-0.111919932451201
5333143251.5335449844762.4664550155285
543227.13272.63867211733-45.538672117329
553225.33233.24721573869-7.94721573868628
563228.63208.4273617380220.1726382619786
573287.13201.6242893029985.4757106970142
583210.13247.18757366303-37.0875736630287
593213.13228.07525444115-14.9752544411522
6032283214.7276027039913.2723972960116
6132873217.5734083552669.4265916447443
6232113264.3389773553-53.3389773552994
633199.83241.91058538151-42.1105853815075
643166.33213.00691282751-46.7069128275116
6531643169.32976791475-5.32976791474857
663156.73142.6229745724214.0770254275817
6731563128.3926103809627.6073896190378
683165.53127.7091161011437.7908838988646
693179.23141.8572084667337.3427915332682
703182.53165.9812106806116.5187893193915
713179.53185.33474488548-5.83474488547881
723193.53193.145763907370.35423609262898
733219.63203.8088719582915.7911280417143
743221.93225.6479318105-3.74793181049927
753210.13237.76621406174-27.6662140617373







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
763231.696510280643119.257039051533344.13598150976
773237.944833348423099.54250057613376.34716612074
783244.193156416193066.565658858643421.82065397374
793250.441479483963023.045330897983477.83762806995
803256.689802551742971.1989017993542.18070330448
813262.938125619512912.485456721963613.39079451707
823269.186448687282847.852291808913690.52060556566
833275.434771755062777.94240252333772.92714098681
843281.683094822832703.216987433723860.14920221194
853287.93141789062624.02403067393951.83880510731
863294.179740958382540.637433692834047.72204822392
873300.428064026152453.280252426164147.57587562614

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
76 & 3231.69651028064 & 3119.25703905153 & 3344.13598150976 \tabularnewline
77 & 3237.94483334842 & 3099.5425005761 & 3376.34716612074 \tabularnewline
78 & 3244.19315641619 & 3066.56565885864 & 3421.82065397374 \tabularnewline
79 & 3250.44147948396 & 3023.04533089798 & 3477.83762806995 \tabularnewline
80 & 3256.68980255174 & 2971.198901799 & 3542.18070330448 \tabularnewline
81 & 3262.93812561951 & 2912.48545672196 & 3613.39079451707 \tabularnewline
82 & 3269.18644868728 & 2847.85229180891 & 3690.52060556566 \tabularnewline
83 & 3275.43477175506 & 2777.9424025233 & 3772.92714098681 \tabularnewline
84 & 3281.68309482283 & 2703.21698743372 & 3860.14920221194 \tabularnewline
85 & 3287.9314178906 & 2624.0240306739 & 3951.83880510731 \tabularnewline
86 & 3294.17974095838 & 2540.63743369283 & 4047.72204822392 \tabularnewline
87 & 3300.42806402615 & 2453.28025242616 & 4147.57587562614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122153&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]76[/C][C]3231.69651028064[/C][C]3119.25703905153[/C][C]3344.13598150976[/C][/ROW]
[ROW][C]77[/C][C]3237.94483334842[/C][C]3099.5425005761[/C][C]3376.34716612074[/C][/ROW]
[ROW][C]78[/C][C]3244.19315641619[/C][C]3066.56565885864[/C][C]3421.82065397374[/C][/ROW]
[ROW][C]79[/C][C]3250.44147948396[/C][C]3023.04533089798[/C][C]3477.83762806995[/C][/ROW]
[ROW][C]80[/C][C]3256.68980255174[/C][C]2971.198901799[/C][C]3542.18070330448[/C][/ROW]
[ROW][C]81[/C][C]3262.93812561951[/C][C]2912.48545672196[/C][C]3613.39079451707[/C][/ROW]
[ROW][C]82[/C][C]3269.18644868728[/C][C]2847.85229180891[/C][C]3690.52060556566[/C][/ROW]
[ROW][C]83[/C][C]3275.43477175506[/C][C]2777.9424025233[/C][C]3772.92714098681[/C][/ROW]
[ROW][C]84[/C][C]3281.68309482283[/C][C]2703.21698743372[/C][C]3860.14920221194[/C][/ROW]
[ROW][C]85[/C][C]3287.9314178906[/C][C]2624.0240306739[/C][C]3951.83880510731[/C][/ROW]
[ROW][C]86[/C][C]3294.17974095838[/C][C]2540.63743369283[/C][C]4047.72204822392[/C][/ROW]
[ROW][C]87[/C][C]3300.42806402615[/C][C]2453.28025242616[/C][C]4147.57587562614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122153&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122153&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
763231.696510280643119.257039051533344.13598150976
773237.944833348423099.54250057613376.34716612074
783244.193156416193066.565658858643421.82065397374
793250.441479483963023.045330897983477.83762806995
803256.689802551742971.1989017993542.18070330448
813262.938125619512912.485456721963613.39079451707
823269.186448687282847.852291808913690.52060556566
833275.434771755062777.94240252333772.92714098681
843281.683094822832703.216987433723860.14920221194
853287.93141789062624.02403067393951.83880510731
863294.179740958382540.637433692834047.72204822392
873300.428064026152453.280252426164147.57587562614



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')