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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 computationMon, 26 May 2008 15:18:24 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/26/t1211836738ike7q9actoi48gd.htm/, Retrieved Tue, 14 May 2024 21:12:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13303, Retrieved Tue, 14 May 2024 21:12:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Bouwvergunningen] [2008-05-26 21:18:24] [8e49e33bff217c9d761ee51a4d4e5949] [Current]
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Dataseries X:
2434
2637
1831
1851
1839
2609
2417
2394
2372
2717
2998
2538
3007
2475
2175
2465
2279
2323
2746
2601
2486
2718
2646
2551
2712
2606
2365
3533
3509
2912
3599
2719
2869
4085
2686
2545
3071
3388
2652
3190
2884
3295
3818
3226
3953
3810
2877
3515
3708
3450
3360
4098
4374
3703
4257
3487
3659
3904
2957
3320
3420
3500
2791
2919
3179
3016
3492
3034
2612
3525
2846
3212
2591




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13303&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13303&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13303&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.316502668649575
beta0
gamma0.528977938320109

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.316502668649575 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.528977938320109 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13303&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]0.316502668649575[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.528977938320109[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13303&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13303&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
alpha0.316502668649575
beta0
gamma0.528977938320109







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1330072814.83245828937192.167541710630
1424752346.15707822244128.842921777562
1521752086.6631698812388.336830118767
1624652392.0990196645472.9009803354616
1722792245.7240787938433.2759212061646
1823232312.6123077853610.387692214641
1927462750.33626105096-4.33626105095573
2026012610.86732589147-9.8673258914664
2124862479.288267348396.71173265161497
2227182657.9938708226460.0061291773568
2326462513.02444948422132.975550515780
2425512395.66833476417155.331665235834
2527123220.69674991596-508.696749915957
2626062484.98686513470121.013134865305
2723652196.31504635075168.684953649246
2835332534.40126092563998.59873907437
2935092635.8395787133873.160421286698
3029122973.92027841379-61.9202784137888
3135993500.8409069690398.1590930309671
3227193351.80258342192-632.802583421921
3328693003.31573747574-134.315737475743
3440853194.07975342453890.920246575472
3526863297.82852383102-611.828523831017
3625452922.34636456097-377.346364560975
3730713392.53186261917-321.531862619173
3833882892.895773122495.104226877997
3926522679.9164505143-27.9164505143021
4031903300.76210031538-110.762100315378
4128842970.88063058456-86.8806305845555
4232952691.245919822603.754080178
4338183476.20039091554341.799609084459
4432263123.2672425134102.732757486599
4539533189.61068681413763.389313185874
4638104112.02243901921-302.022439019214
4728773238.81968436346-361.819684363456
4835153012.81964887572502.180351124277
4937083892.83302755833-184.833027558333
5034503699.28367624962-249.283676249624
5133602993.75921767905366.24078232095
5240983810.02542963601287.974570363994
5343743554.6912773051819.308722694897
5437033791.86137645289-88.8613764528909
5542574365.11356828438-108.113568284378
5634873690.91090344476-203.910903444762
5736593914.00915901374-255.009159013744
5839044136.25452737725-232.254527377247
5929573226.71755646372-269.717556463722
6033203342.62735554049-22.6273555404928
6134203804.61274158354-384.612741583543
6235003526.16686034411-26.1668603441094
6327913110.30266521900-319.302665219004
6429193630.76990994799-711.76990994799
6531793257.11363729289-78.1136372928936
6630162956.5620004896659.4379995103413
6734923449.0821429685842.9178570314225
6830342917.31766935173116.682330648272
6926123176.45842738926-564.458427389258
7035253245.94498526019279.055014739807
7128462620.0921158609225.907884139099
7232122948.55932692633263.440673073671
7325913335.99363177502-744.993631775016

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 3007 & 2814.83245828937 & 192.167541710630 \tabularnewline
14 & 2475 & 2346.15707822244 & 128.842921777562 \tabularnewline
15 & 2175 & 2086.66316988123 & 88.336830118767 \tabularnewline
16 & 2465 & 2392.09901966454 & 72.9009803354616 \tabularnewline
17 & 2279 & 2245.72407879384 & 33.2759212061646 \tabularnewline
18 & 2323 & 2312.61230778536 & 10.387692214641 \tabularnewline
19 & 2746 & 2750.33626105096 & -4.33626105095573 \tabularnewline
20 & 2601 & 2610.86732589147 & -9.8673258914664 \tabularnewline
21 & 2486 & 2479.28826734839 & 6.71173265161497 \tabularnewline
22 & 2718 & 2657.99387082264 & 60.0061291773568 \tabularnewline
23 & 2646 & 2513.02444948422 & 132.975550515780 \tabularnewline
24 & 2551 & 2395.66833476417 & 155.331665235834 \tabularnewline
25 & 2712 & 3220.69674991596 & -508.696749915957 \tabularnewline
26 & 2606 & 2484.98686513470 & 121.013134865305 \tabularnewline
27 & 2365 & 2196.31504635075 & 168.684953649246 \tabularnewline
28 & 3533 & 2534.40126092563 & 998.59873907437 \tabularnewline
29 & 3509 & 2635.8395787133 & 873.160421286698 \tabularnewline
30 & 2912 & 2973.92027841379 & -61.9202784137888 \tabularnewline
31 & 3599 & 3500.84090696903 & 98.1590930309671 \tabularnewline
32 & 2719 & 3351.80258342192 & -632.802583421921 \tabularnewline
33 & 2869 & 3003.31573747574 & -134.315737475743 \tabularnewline
34 & 4085 & 3194.07975342453 & 890.920246575472 \tabularnewline
35 & 2686 & 3297.82852383102 & -611.828523831017 \tabularnewline
36 & 2545 & 2922.34636456097 & -377.346364560975 \tabularnewline
37 & 3071 & 3392.53186261917 & -321.531862619173 \tabularnewline
38 & 3388 & 2892.895773122 & 495.104226877997 \tabularnewline
39 & 2652 & 2679.9164505143 & -27.9164505143021 \tabularnewline
40 & 3190 & 3300.76210031538 & -110.762100315378 \tabularnewline
41 & 2884 & 2970.88063058456 & -86.8806305845555 \tabularnewline
42 & 3295 & 2691.245919822 & 603.754080178 \tabularnewline
43 & 3818 & 3476.20039091554 & 341.799609084459 \tabularnewline
44 & 3226 & 3123.2672425134 & 102.732757486599 \tabularnewline
45 & 3953 & 3189.61068681413 & 763.389313185874 \tabularnewline
46 & 3810 & 4112.02243901921 & -302.022439019214 \tabularnewline
47 & 2877 & 3238.81968436346 & -361.819684363456 \tabularnewline
48 & 3515 & 3012.81964887572 & 502.180351124277 \tabularnewline
49 & 3708 & 3892.83302755833 & -184.833027558333 \tabularnewline
50 & 3450 & 3699.28367624962 & -249.283676249624 \tabularnewline
51 & 3360 & 2993.75921767905 & 366.24078232095 \tabularnewline
52 & 4098 & 3810.02542963601 & 287.974570363994 \tabularnewline
53 & 4374 & 3554.6912773051 & 819.308722694897 \tabularnewline
54 & 3703 & 3791.86137645289 & -88.8613764528909 \tabularnewline
55 & 4257 & 4365.11356828438 & -108.113568284378 \tabularnewline
56 & 3487 & 3690.91090344476 & -203.910903444762 \tabularnewline
57 & 3659 & 3914.00915901374 & -255.009159013744 \tabularnewline
58 & 3904 & 4136.25452737725 & -232.254527377247 \tabularnewline
59 & 2957 & 3226.71755646372 & -269.717556463722 \tabularnewline
60 & 3320 & 3342.62735554049 & -22.6273555404928 \tabularnewline
61 & 3420 & 3804.61274158354 & -384.612741583543 \tabularnewline
62 & 3500 & 3526.16686034411 & -26.1668603441094 \tabularnewline
63 & 2791 & 3110.30266521900 & -319.302665219004 \tabularnewline
64 & 2919 & 3630.76990994799 & -711.76990994799 \tabularnewline
65 & 3179 & 3257.11363729289 & -78.1136372928936 \tabularnewline
66 & 3016 & 2956.56200048966 & 59.4379995103413 \tabularnewline
67 & 3492 & 3449.08214296858 & 42.9178570314225 \tabularnewline
68 & 3034 & 2917.31766935173 & 116.682330648272 \tabularnewline
69 & 2612 & 3176.45842738926 & -564.458427389258 \tabularnewline
70 & 3525 & 3245.94498526019 & 279.055014739807 \tabularnewline
71 & 2846 & 2620.0921158609 & 225.907884139099 \tabularnewline
72 & 3212 & 2948.55932692633 & 263.440673073671 \tabularnewline
73 & 2591 & 3335.99363177502 & -744.993631775016 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13303&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]3007[/C][C]2814.83245828937[/C][C]192.167541710630[/C][/ROW]
[ROW][C]14[/C][C]2475[/C][C]2346.15707822244[/C][C]128.842921777562[/C][/ROW]
[ROW][C]15[/C][C]2175[/C][C]2086.66316988123[/C][C]88.336830118767[/C][/ROW]
[ROW][C]16[/C][C]2465[/C][C]2392.09901966454[/C][C]72.9009803354616[/C][/ROW]
[ROW][C]17[/C][C]2279[/C][C]2245.72407879384[/C][C]33.2759212061646[/C][/ROW]
[ROW][C]18[/C][C]2323[/C][C]2312.61230778536[/C][C]10.387692214641[/C][/ROW]
[ROW][C]19[/C][C]2746[/C][C]2750.33626105096[/C][C]-4.33626105095573[/C][/ROW]
[ROW][C]20[/C][C]2601[/C][C]2610.86732589147[/C][C]-9.8673258914664[/C][/ROW]
[ROW][C]21[/C][C]2486[/C][C]2479.28826734839[/C][C]6.71173265161497[/C][/ROW]
[ROW][C]22[/C][C]2718[/C][C]2657.99387082264[/C][C]60.0061291773568[/C][/ROW]
[ROW][C]23[/C][C]2646[/C][C]2513.02444948422[/C][C]132.975550515780[/C][/ROW]
[ROW][C]24[/C][C]2551[/C][C]2395.66833476417[/C][C]155.331665235834[/C][/ROW]
[ROW][C]25[/C][C]2712[/C][C]3220.69674991596[/C][C]-508.696749915957[/C][/ROW]
[ROW][C]26[/C][C]2606[/C][C]2484.98686513470[/C][C]121.013134865305[/C][/ROW]
[ROW][C]27[/C][C]2365[/C][C]2196.31504635075[/C][C]168.684953649246[/C][/ROW]
[ROW][C]28[/C][C]3533[/C][C]2534.40126092563[/C][C]998.59873907437[/C][/ROW]
[ROW][C]29[/C][C]3509[/C][C]2635.8395787133[/C][C]873.160421286698[/C][/ROW]
[ROW][C]30[/C][C]2912[/C][C]2973.92027841379[/C][C]-61.9202784137888[/C][/ROW]
[ROW][C]31[/C][C]3599[/C][C]3500.84090696903[/C][C]98.1590930309671[/C][/ROW]
[ROW][C]32[/C][C]2719[/C][C]3351.80258342192[/C][C]-632.802583421921[/C][/ROW]
[ROW][C]33[/C][C]2869[/C][C]3003.31573747574[/C][C]-134.315737475743[/C][/ROW]
[ROW][C]34[/C][C]4085[/C][C]3194.07975342453[/C][C]890.920246575472[/C][/ROW]
[ROW][C]35[/C][C]2686[/C][C]3297.82852383102[/C][C]-611.828523831017[/C][/ROW]
[ROW][C]36[/C][C]2545[/C][C]2922.34636456097[/C][C]-377.346364560975[/C][/ROW]
[ROW][C]37[/C][C]3071[/C][C]3392.53186261917[/C][C]-321.531862619173[/C][/ROW]
[ROW][C]38[/C][C]3388[/C][C]2892.895773122[/C][C]495.104226877997[/C][/ROW]
[ROW][C]39[/C][C]2652[/C][C]2679.9164505143[/C][C]-27.9164505143021[/C][/ROW]
[ROW][C]40[/C][C]3190[/C][C]3300.76210031538[/C][C]-110.762100315378[/C][/ROW]
[ROW][C]41[/C][C]2884[/C][C]2970.88063058456[/C][C]-86.8806305845555[/C][/ROW]
[ROW][C]42[/C][C]3295[/C][C]2691.245919822[/C][C]603.754080178[/C][/ROW]
[ROW][C]43[/C][C]3818[/C][C]3476.20039091554[/C][C]341.799609084459[/C][/ROW]
[ROW][C]44[/C][C]3226[/C][C]3123.2672425134[/C][C]102.732757486599[/C][/ROW]
[ROW][C]45[/C][C]3953[/C][C]3189.61068681413[/C][C]763.389313185874[/C][/ROW]
[ROW][C]46[/C][C]3810[/C][C]4112.02243901921[/C][C]-302.022439019214[/C][/ROW]
[ROW][C]47[/C][C]2877[/C][C]3238.81968436346[/C][C]-361.819684363456[/C][/ROW]
[ROW][C]48[/C][C]3515[/C][C]3012.81964887572[/C][C]502.180351124277[/C][/ROW]
[ROW][C]49[/C][C]3708[/C][C]3892.83302755833[/C][C]-184.833027558333[/C][/ROW]
[ROW][C]50[/C][C]3450[/C][C]3699.28367624962[/C][C]-249.283676249624[/C][/ROW]
[ROW][C]51[/C][C]3360[/C][C]2993.75921767905[/C][C]366.24078232095[/C][/ROW]
[ROW][C]52[/C][C]4098[/C][C]3810.02542963601[/C][C]287.974570363994[/C][/ROW]
[ROW][C]53[/C][C]4374[/C][C]3554.6912773051[/C][C]819.308722694897[/C][/ROW]
[ROW][C]54[/C][C]3703[/C][C]3791.86137645289[/C][C]-88.8613764528909[/C][/ROW]
[ROW][C]55[/C][C]4257[/C][C]4365.11356828438[/C][C]-108.113568284378[/C][/ROW]
[ROW][C]56[/C][C]3487[/C][C]3690.91090344476[/C][C]-203.910903444762[/C][/ROW]
[ROW][C]57[/C][C]3659[/C][C]3914.00915901374[/C][C]-255.009159013744[/C][/ROW]
[ROW][C]58[/C][C]3904[/C][C]4136.25452737725[/C][C]-232.254527377247[/C][/ROW]
[ROW][C]59[/C][C]2957[/C][C]3226.71755646372[/C][C]-269.717556463722[/C][/ROW]
[ROW][C]60[/C][C]3320[/C][C]3342.62735554049[/C][C]-22.6273555404928[/C][/ROW]
[ROW][C]61[/C][C]3420[/C][C]3804.61274158354[/C][C]-384.612741583543[/C][/ROW]
[ROW][C]62[/C][C]3500[/C][C]3526.16686034411[/C][C]-26.1668603441094[/C][/ROW]
[ROW][C]63[/C][C]2791[/C][C]3110.30266521900[/C][C]-319.302665219004[/C][/ROW]
[ROW][C]64[/C][C]2919[/C][C]3630.76990994799[/C][C]-711.76990994799[/C][/ROW]
[ROW][C]65[/C][C]3179[/C][C]3257.11363729289[/C][C]-78.1136372928936[/C][/ROW]
[ROW][C]66[/C][C]3016[/C][C]2956.56200048966[/C][C]59.4379995103413[/C][/ROW]
[ROW][C]67[/C][C]3492[/C][C]3449.08214296858[/C][C]42.9178570314225[/C][/ROW]
[ROW][C]68[/C][C]3034[/C][C]2917.31766935173[/C][C]116.682330648272[/C][/ROW]
[ROW][C]69[/C][C]2612[/C][C]3176.45842738926[/C][C]-564.458427389258[/C][/ROW]
[ROW][C]70[/C][C]3525[/C][C]3245.94498526019[/C][C]279.055014739807[/C][/ROW]
[ROW][C]71[/C][C]2846[/C][C]2620.0921158609[/C][C]225.907884139099[/C][/ROW]
[ROW][C]72[/C][C]3212[/C][C]2948.55932692633[/C][C]263.440673073671[/C][/ROW]
[ROW][C]73[/C][C]2591[/C][C]3335.99363177502[/C][C]-744.993631775016[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13303&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13303&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
1330072814.83245828937192.167541710630
1424752346.15707822244128.842921777562
1521752086.6631698812388.336830118767
1624652392.0990196645472.9009803354616
1722792245.7240787938433.2759212061646
1823232312.6123077853610.387692214641
1927462750.33626105096-4.33626105095573
2026012610.86732589147-9.8673258914664
2124862479.288267348396.71173265161497
2227182657.9938708226460.0061291773568
2326462513.02444948422132.975550515780
2425512395.66833476417155.331665235834
2527123220.69674991596-508.696749915957
2626062484.98686513470121.013134865305
2723652196.31504635075168.684953649246
2835332534.40126092563998.59873907437
2935092635.8395787133873.160421286698
3029122973.92027841379-61.9202784137888
3135993500.8409069690398.1590930309671
3227193351.80258342192-632.802583421921
3328693003.31573747574-134.315737475743
3440853194.07975342453890.920246575472
3526863297.82852383102-611.828523831017
3625452922.34636456097-377.346364560975
3730713392.53186261917-321.531862619173
3833882892.895773122495.104226877997
3926522679.9164505143-27.9164505143021
4031903300.76210031538-110.762100315378
4128842970.88063058456-86.8806305845555
4232952691.245919822603.754080178
4338183476.20039091554341.799609084459
4432263123.2672425134102.732757486599
4539533189.61068681413763.389313185874
4638104112.02243901921-302.022439019214
4728773238.81968436346-361.819684363456
4835153012.81964887572502.180351124277
4937083892.83302755833-184.833027558333
5034503699.28367624962-249.283676249624
5133602993.75921767905366.24078232095
5240983810.02542963601287.974570363994
5343743554.6912773051819.308722694897
5437033791.86137645289-88.8613764528909
5542574365.11356828438-108.113568284378
5634873690.91090344476-203.910903444762
5736593914.00915901374-255.009159013744
5839044136.25452737725-232.254527377247
5929573226.71755646372-269.717556463722
6033203342.62735554049-22.6273555404928
6134203804.61274158354-384.612741583543
6235003526.16686034411-26.1668603441094
6327913110.30266521900-319.302665219004
6429193630.76990994799-711.76990994799
6531793257.11363729289-78.1136372928936
6630162956.5620004896659.4379995103413
6734923449.0821429685842.9178570314225
6830342917.31766935173116.682330648272
6926123176.45842738926-564.458427389258
7035253245.94498526019279.055014739807
7128462620.0921158609225.907884139099
7232122948.55932692633263.440673073671
7325913335.99363177502-744.993631775016







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
743076.459212004732564.627403771243588.29102023821
752622.724011521682040.694082653553204.75394038981
763041.995310796122407.352148818643676.63847277361
773119.78707624642461.83989757833777.7342549145
782899.511610218892146.725243159463652.29797727831
793351.993319472652628.243055823654075.74358312165
802851.624720759252094.505434467163608.74400705134
812817.153654296011928.473072328753705.83423626326
823372.213234394562582.795972897544161.63049589158
832650.132039568631775.499929573073524.76414956419
842906.153535124922015.418612139113796.88845811073
852830.84497981207NANA

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
74 & 3076.45921200473 & 2564.62740377124 & 3588.29102023821 \tabularnewline
75 & 2622.72401152168 & 2040.69408265355 & 3204.75394038981 \tabularnewline
76 & 3041.99531079612 & 2407.35214881864 & 3676.63847277361 \tabularnewline
77 & 3119.7870762464 & 2461.8398975783 & 3777.7342549145 \tabularnewline
78 & 2899.51161021889 & 2146.72524315946 & 3652.29797727831 \tabularnewline
79 & 3351.99331947265 & 2628.24305582365 & 4075.74358312165 \tabularnewline
80 & 2851.62472075925 & 2094.50543446716 & 3608.74400705134 \tabularnewline
81 & 2817.15365429601 & 1928.47307232875 & 3705.83423626326 \tabularnewline
82 & 3372.21323439456 & 2582.79597289754 & 4161.63049589158 \tabularnewline
83 & 2650.13203956863 & 1775.49992957307 & 3524.76414956419 \tabularnewline
84 & 2906.15353512492 & 2015.41861213911 & 3796.88845811073 \tabularnewline
85 & 2830.84497981207 & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13303&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]74[/C][C]3076.45921200473[/C][C]2564.62740377124[/C][C]3588.29102023821[/C][/ROW]
[ROW][C]75[/C][C]2622.72401152168[/C][C]2040.69408265355[/C][C]3204.75394038981[/C][/ROW]
[ROW][C]76[/C][C]3041.99531079612[/C][C]2407.35214881864[/C][C]3676.63847277361[/C][/ROW]
[ROW][C]77[/C][C]3119.7870762464[/C][C]2461.8398975783[/C][C]3777.7342549145[/C][/ROW]
[ROW][C]78[/C][C]2899.51161021889[/C][C]2146.72524315946[/C][C]3652.29797727831[/C][/ROW]
[ROW][C]79[/C][C]3351.99331947265[/C][C]2628.24305582365[/C][C]4075.74358312165[/C][/ROW]
[ROW][C]80[/C][C]2851.62472075925[/C][C]2094.50543446716[/C][C]3608.74400705134[/C][/ROW]
[ROW][C]81[/C][C]2817.15365429601[/C][C]1928.47307232875[/C][C]3705.83423626326[/C][/ROW]
[ROW][C]82[/C][C]3372.21323439456[/C][C]2582.79597289754[/C][C]4161.63049589158[/C][/ROW]
[ROW][C]83[/C][C]2650.13203956863[/C][C]1775.49992957307[/C][C]3524.76414956419[/C][/ROW]
[ROW][C]84[/C][C]2906.15353512492[/C][C]2015.41861213911[/C][C]3796.88845811073[/C][/ROW]
[ROW][C]85[/C][C]2830.84497981207[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13303&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13303&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
743076.459212004732564.627403771243588.29102023821
752622.724011521682040.694082653553204.75394038981
763041.995310796122407.352148818643676.63847277361
773119.78707624642461.83989757833777.7342549145
782899.511610218892146.725243159463652.29797727831
793351.993319472652628.243055823654075.74358312165
802851.624720759252094.505434467163608.74400705134
812817.153654296011928.473072328753705.83423626326
823372.213234394562582.795972897544161.63049589158
832650.132039568631775.499929573073524.76414956419
842906.153535124922015.418612139113796.88845811073
852830.84497981207NANA



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=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')