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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, 25 May 2008 05:22:57 -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/25/t1211714736xskov2vo9z0u3pi.htm/, Retrieved Wed, 15 May 2024 16:19:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13113, Retrieved Wed, 15 May 2024 16:19:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact201
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [marlies smulders ...] [2008-05-25 11:22:57] [4eb44b0124b34dab365a44c9d5d07c57] [Current]
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Dataseries X:
2301
2512
3145
2741
2548
1987
2281
2016
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




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 & 6 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=13113&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]6 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=13113&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13113&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 time6 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.421222314791007
beta0.00099345799369076
gamma0.768751783081094

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.421222314791007 \tabularnewline
beta & 0.00099345799369076 \tabularnewline
gamma & 0.768751783081094 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13113&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]0.421222314791007[/C][/ROW]
[ROW][C]beta[/C][C]0.00099345799369076[/C][/ROW]
[ROW][C]gamma[/C][C]0.768751783081094[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13113&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13113&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
alpha0.421222314791007
beta0.00099345799369076
gamma0.768751783081094







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1318391771.2334722222267.7665277777769
1426092532.9596111981176.0403888018895
1524172342.2027054355674.797294564442
1623942348.4534808160245.5465191839844
1723722352.9439032484319.0560967515726
1827172680.9506096321936.0493903678062
1929982948.1303559574649.869644042536
2025382517.6523703107720.3476296892345
2130073008.37256824583-1.3725682458321
2224752468.401493088236.59850691176689
2321752172.749107248482.25089275152413
2424652473.84968456526-8.84968456526394
2522792143.71420776375135.285792236248
2623232937.75297110593-614.752971105929
2727462455.36697713888290.633022861118
2826012539.5097513746561.49024862535
2924862538.92805555715-52.9280555571531
3027182844.14282193609-126.142821936087
3126463049.05330747937-403.053307479365
3225512414.36970120493136.630298795074
3327122944.16635998225-232.166359982251
3426062310.18954340422295.810456595778
3523652134.20943081216230.790569187843
3635332526.516763269941006.48323673006
3735092688.49796404187820.502035958134
3829123438.03698676852-526.036986768515
3935993396.48785159841202.512148401586
4027193342.14985767164-623.14985767164
4128693002.57877308779-133.578773087785
4240853241.51716235907843.482837640932
4326863732.3252381571-1046.3252381571
4425453067.21399489408-522.213994894081
4530713155.53196733373-84.5319673337344
4633882818.85220515374569.14779484626
4726522729.38660990147-77.3866099014654
4831903337.19620546927-147.19620546927
4928842930.16878520631-46.1687852063087
5032952714.85655656415580.143443435847
5138183463.21024850511354.789751494895
5232263105.5085727968120.491427203198
5339533297.17562139202655.82437860798
5438104303.86067100086-493.860671000857
5528773390.44800908055-513.448009080553
5635153183.15824520286331.84175479714
5737083826.48714866684-118.487148666835
5834503766.85933806598-316.85933806598
5933603016.65905314433343.340946855669
6040983770.94167772287327.058322277132
6143743609.14410377887764.855896221132
6237034014.97453174642-311.974531746417
6342574287.75871686254-30.7587168625396
6434873663.72478309449-176.724783094489
6536593968.5796685894-309.579668589402
6639044056.86713288802-152.867132888015
6729573278.30497701392-321.304977013923
6833203528.06225466171-208.062254661705
6934203743.38984196395-323.389841963947
7035003508.88970774994-8.88970774994368
7127913181.98936814293-390.989368142926
7229193619.23279439654-700.23279439654

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1839 & 1771.23347222222 & 67.7665277777769 \tabularnewline
14 & 2609 & 2532.95961119811 & 76.0403888018895 \tabularnewline
15 & 2417 & 2342.20270543556 & 74.797294564442 \tabularnewline
16 & 2394 & 2348.45348081602 & 45.5465191839844 \tabularnewline
17 & 2372 & 2352.94390324843 & 19.0560967515726 \tabularnewline
18 & 2717 & 2680.95060963219 & 36.0493903678062 \tabularnewline
19 & 2998 & 2948.13035595746 & 49.869644042536 \tabularnewline
20 & 2538 & 2517.65237031077 & 20.3476296892345 \tabularnewline
21 & 3007 & 3008.37256824583 & -1.3725682458321 \tabularnewline
22 & 2475 & 2468.40149308823 & 6.59850691176689 \tabularnewline
23 & 2175 & 2172.74910724848 & 2.25089275152413 \tabularnewline
24 & 2465 & 2473.84968456526 & -8.84968456526394 \tabularnewline
25 & 2279 & 2143.71420776375 & 135.285792236248 \tabularnewline
26 & 2323 & 2937.75297110593 & -614.752971105929 \tabularnewline
27 & 2746 & 2455.36697713888 & 290.633022861118 \tabularnewline
28 & 2601 & 2539.50975137465 & 61.49024862535 \tabularnewline
29 & 2486 & 2538.92805555715 & -52.9280555571531 \tabularnewline
30 & 2718 & 2844.14282193609 & -126.142821936087 \tabularnewline
31 & 2646 & 3049.05330747937 & -403.053307479365 \tabularnewline
32 & 2551 & 2414.36970120493 & 136.630298795074 \tabularnewline
33 & 2712 & 2944.16635998225 & -232.166359982251 \tabularnewline
34 & 2606 & 2310.18954340422 & 295.810456595778 \tabularnewline
35 & 2365 & 2134.20943081216 & 230.790569187843 \tabularnewline
36 & 3533 & 2526.51676326994 & 1006.48323673006 \tabularnewline
37 & 3509 & 2688.49796404187 & 820.502035958134 \tabularnewline
38 & 2912 & 3438.03698676852 & -526.036986768515 \tabularnewline
39 & 3599 & 3396.48785159841 & 202.512148401586 \tabularnewline
40 & 2719 & 3342.14985767164 & -623.14985767164 \tabularnewline
41 & 2869 & 3002.57877308779 & -133.578773087785 \tabularnewline
42 & 4085 & 3241.51716235907 & 843.482837640932 \tabularnewline
43 & 2686 & 3732.3252381571 & -1046.3252381571 \tabularnewline
44 & 2545 & 3067.21399489408 & -522.213994894081 \tabularnewline
45 & 3071 & 3155.53196733373 & -84.5319673337344 \tabularnewline
46 & 3388 & 2818.85220515374 & 569.14779484626 \tabularnewline
47 & 2652 & 2729.38660990147 & -77.3866099014654 \tabularnewline
48 & 3190 & 3337.19620546927 & -147.19620546927 \tabularnewline
49 & 2884 & 2930.16878520631 & -46.1687852063087 \tabularnewline
50 & 3295 & 2714.85655656415 & 580.143443435847 \tabularnewline
51 & 3818 & 3463.21024850511 & 354.789751494895 \tabularnewline
52 & 3226 & 3105.5085727968 & 120.491427203198 \tabularnewline
53 & 3953 & 3297.17562139202 & 655.82437860798 \tabularnewline
54 & 3810 & 4303.86067100086 & -493.860671000857 \tabularnewline
55 & 2877 & 3390.44800908055 & -513.448009080553 \tabularnewline
56 & 3515 & 3183.15824520286 & 331.84175479714 \tabularnewline
57 & 3708 & 3826.48714866684 & -118.487148666835 \tabularnewline
58 & 3450 & 3766.85933806598 & -316.85933806598 \tabularnewline
59 & 3360 & 3016.65905314433 & 343.340946855669 \tabularnewline
60 & 4098 & 3770.94167772287 & 327.058322277132 \tabularnewline
61 & 4374 & 3609.14410377887 & 764.855896221132 \tabularnewline
62 & 3703 & 4014.97453174642 & -311.974531746417 \tabularnewline
63 & 4257 & 4287.75871686254 & -30.7587168625396 \tabularnewline
64 & 3487 & 3663.72478309449 & -176.724783094489 \tabularnewline
65 & 3659 & 3968.5796685894 & -309.579668589402 \tabularnewline
66 & 3904 & 4056.86713288802 & -152.867132888015 \tabularnewline
67 & 2957 & 3278.30497701392 & -321.304977013923 \tabularnewline
68 & 3320 & 3528.06225466171 & -208.062254661705 \tabularnewline
69 & 3420 & 3743.38984196395 & -323.389841963947 \tabularnewline
70 & 3500 & 3508.88970774994 & -8.88970774994368 \tabularnewline
71 & 2791 & 3181.98936814293 & -390.989368142926 \tabularnewline
72 & 2919 & 3619.23279439654 & -700.23279439654 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13113&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]1839[/C][C]1771.23347222222[/C][C]67.7665277777769[/C][/ROW]
[ROW][C]14[/C][C]2609[/C][C]2532.95961119811[/C][C]76.0403888018895[/C][/ROW]
[ROW][C]15[/C][C]2417[/C][C]2342.20270543556[/C][C]74.797294564442[/C][/ROW]
[ROW][C]16[/C][C]2394[/C][C]2348.45348081602[/C][C]45.5465191839844[/C][/ROW]
[ROW][C]17[/C][C]2372[/C][C]2352.94390324843[/C][C]19.0560967515726[/C][/ROW]
[ROW][C]18[/C][C]2717[/C][C]2680.95060963219[/C][C]36.0493903678062[/C][/ROW]
[ROW][C]19[/C][C]2998[/C][C]2948.13035595746[/C][C]49.869644042536[/C][/ROW]
[ROW][C]20[/C][C]2538[/C][C]2517.65237031077[/C][C]20.3476296892345[/C][/ROW]
[ROW][C]21[/C][C]3007[/C][C]3008.37256824583[/C][C]-1.3725682458321[/C][/ROW]
[ROW][C]22[/C][C]2475[/C][C]2468.40149308823[/C][C]6.59850691176689[/C][/ROW]
[ROW][C]23[/C][C]2175[/C][C]2172.74910724848[/C][C]2.25089275152413[/C][/ROW]
[ROW][C]24[/C][C]2465[/C][C]2473.84968456526[/C][C]-8.84968456526394[/C][/ROW]
[ROW][C]25[/C][C]2279[/C][C]2143.71420776375[/C][C]135.285792236248[/C][/ROW]
[ROW][C]26[/C][C]2323[/C][C]2937.75297110593[/C][C]-614.752971105929[/C][/ROW]
[ROW][C]27[/C][C]2746[/C][C]2455.36697713888[/C][C]290.633022861118[/C][/ROW]
[ROW][C]28[/C][C]2601[/C][C]2539.50975137465[/C][C]61.49024862535[/C][/ROW]
[ROW][C]29[/C][C]2486[/C][C]2538.92805555715[/C][C]-52.9280555571531[/C][/ROW]
[ROW][C]30[/C][C]2718[/C][C]2844.14282193609[/C][C]-126.142821936087[/C][/ROW]
[ROW][C]31[/C][C]2646[/C][C]3049.05330747937[/C][C]-403.053307479365[/C][/ROW]
[ROW][C]32[/C][C]2551[/C][C]2414.36970120493[/C][C]136.630298795074[/C][/ROW]
[ROW][C]33[/C][C]2712[/C][C]2944.16635998225[/C][C]-232.166359982251[/C][/ROW]
[ROW][C]34[/C][C]2606[/C][C]2310.18954340422[/C][C]295.810456595778[/C][/ROW]
[ROW][C]35[/C][C]2365[/C][C]2134.20943081216[/C][C]230.790569187843[/C][/ROW]
[ROW][C]36[/C][C]3533[/C][C]2526.51676326994[/C][C]1006.48323673006[/C][/ROW]
[ROW][C]37[/C][C]3509[/C][C]2688.49796404187[/C][C]820.502035958134[/C][/ROW]
[ROW][C]38[/C][C]2912[/C][C]3438.03698676852[/C][C]-526.036986768515[/C][/ROW]
[ROW][C]39[/C][C]3599[/C][C]3396.48785159841[/C][C]202.512148401586[/C][/ROW]
[ROW][C]40[/C][C]2719[/C][C]3342.14985767164[/C][C]-623.14985767164[/C][/ROW]
[ROW][C]41[/C][C]2869[/C][C]3002.57877308779[/C][C]-133.578773087785[/C][/ROW]
[ROW][C]42[/C][C]4085[/C][C]3241.51716235907[/C][C]843.482837640932[/C][/ROW]
[ROW][C]43[/C][C]2686[/C][C]3732.3252381571[/C][C]-1046.3252381571[/C][/ROW]
[ROW][C]44[/C][C]2545[/C][C]3067.21399489408[/C][C]-522.213994894081[/C][/ROW]
[ROW][C]45[/C][C]3071[/C][C]3155.53196733373[/C][C]-84.5319673337344[/C][/ROW]
[ROW][C]46[/C][C]3388[/C][C]2818.85220515374[/C][C]569.14779484626[/C][/ROW]
[ROW][C]47[/C][C]2652[/C][C]2729.38660990147[/C][C]-77.3866099014654[/C][/ROW]
[ROW][C]48[/C][C]3190[/C][C]3337.19620546927[/C][C]-147.19620546927[/C][/ROW]
[ROW][C]49[/C][C]2884[/C][C]2930.16878520631[/C][C]-46.1687852063087[/C][/ROW]
[ROW][C]50[/C][C]3295[/C][C]2714.85655656415[/C][C]580.143443435847[/C][/ROW]
[ROW][C]51[/C][C]3818[/C][C]3463.21024850511[/C][C]354.789751494895[/C][/ROW]
[ROW][C]52[/C][C]3226[/C][C]3105.5085727968[/C][C]120.491427203198[/C][/ROW]
[ROW][C]53[/C][C]3953[/C][C]3297.17562139202[/C][C]655.82437860798[/C][/ROW]
[ROW][C]54[/C][C]3810[/C][C]4303.86067100086[/C][C]-493.860671000857[/C][/ROW]
[ROW][C]55[/C][C]2877[/C][C]3390.44800908055[/C][C]-513.448009080553[/C][/ROW]
[ROW][C]56[/C][C]3515[/C][C]3183.15824520286[/C][C]331.84175479714[/C][/ROW]
[ROW][C]57[/C][C]3708[/C][C]3826.48714866684[/C][C]-118.487148666835[/C][/ROW]
[ROW][C]58[/C][C]3450[/C][C]3766.85933806598[/C][C]-316.85933806598[/C][/ROW]
[ROW][C]59[/C][C]3360[/C][C]3016.65905314433[/C][C]343.340946855669[/C][/ROW]
[ROW][C]60[/C][C]4098[/C][C]3770.94167772287[/C][C]327.058322277132[/C][/ROW]
[ROW][C]61[/C][C]4374[/C][C]3609.14410377887[/C][C]764.855896221132[/C][/ROW]
[ROW][C]62[/C][C]3703[/C][C]4014.97453174642[/C][C]-311.974531746417[/C][/ROW]
[ROW][C]63[/C][C]4257[/C][C]4287.75871686254[/C][C]-30.7587168625396[/C][/ROW]
[ROW][C]64[/C][C]3487[/C][C]3663.72478309449[/C][C]-176.724783094489[/C][/ROW]
[ROW][C]65[/C][C]3659[/C][C]3968.5796685894[/C][C]-309.579668589402[/C][/ROW]
[ROW][C]66[/C][C]3904[/C][C]4056.86713288802[/C][C]-152.867132888015[/C][/ROW]
[ROW][C]67[/C][C]2957[/C][C]3278.30497701392[/C][C]-321.304977013923[/C][/ROW]
[ROW][C]68[/C][C]3320[/C][C]3528.06225466171[/C][C]-208.062254661705[/C][/ROW]
[ROW][C]69[/C][C]3420[/C][C]3743.38984196395[/C][C]-323.389841963947[/C][/ROW]
[ROW][C]70[/C][C]3500[/C][C]3508.88970774994[/C][C]-8.88970774994368[/C][/ROW]
[ROW][C]71[/C][C]2791[/C][C]3181.98936814293[/C][C]-390.989368142926[/C][/ROW]
[ROW][C]72[/C][C]2919[/C][C]3619.23279439654[/C][C]-700.23279439654[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13113&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13113&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
1318391771.2334722222267.7665277777769
1426092532.9596111981176.0403888018895
1524172342.2027054355674.797294564442
1623942348.4534808160245.5465191839844
1723722352.9439032484319.0560967515726
1827172680.9506096321936.0493903678062
1929982948.1303559574649.869644042536
2025382517.6523703107720.3476296892345
2130073008.37256824583-1.3725682458321
2224752468.401493088236.59850691176689
2321752172.749107248482.25089275152413
2424652473.84968456526-8.84968456526394
2522792143.71420776375135.285792236248
2623232937.75297110593-614.752971105929
2727462455.36697713888290.633022861118
2826012539.5097513746561.49024862535
2924862538.92805555715-52.9280555571531
3027182844.14282193609-126.142821936087
3126463049.05330747937-403.053307479365
3225512414.36970120493136.630298795074
3327122944.16635998225-232.166359982251
3426062310.18954340422295.810456595778
3523652134.20943081216230.790569187843
3635332526.516763269941006.48323673006
3735092688.49796404187820.502035958134
3829123438.03698676852-526.036986768515
3935993396.48785159841202.512148401586
4027193342.14985767164-623.14985767164
4128693002.57877308779-133.578773087785
4240853241.51716235907843.482837640932
4326863732.3252381571-1046.3252381571
4425453067.21399489408-522.213994894081
4530713155.53196733373-84.5319673337344
4633882818.85220515374569.14779484626
4726522729.38660990147-77.3866099014654
4831903337.19620546927-147.19620546927
4928842930.16878520631-46.1687852063087
5032952714.85655656415580.143443435847
5138183463.21024850511354.789751494895
5232263105.5085727968120.491427203198
5339533297.17562139202655.82437860798
5438104303.86067100086-493.860671000857
5528773390.44800908055-513.448009080553
5635153183.15824520286331.84175479714
5737083826.48714866684-118.487148666835
5834503766.85933806598-316.85933806598
5933603016.65905314433343.340946855669
6040983770.94167772287327.058322277132
6143743609.14410377887764.855896221132
6237034014.97453174642-311.974531746417
6342574287.75871686254-30.7587168625396
6434873663.72478309449-176.724783094489
6536593968.5796685894-309.579668589402
6639044056.86713288802-152.867132888015
6729573278.30497701392-321.304977013923
6833203528.06225466171-208.062254661705
6934203743.38984196395-323.389841963947
7035003508.88970774994-8.88970774994368
7127913181.98936814293-390.989368142926
7229193619.23279439654-700.23279439654







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
733218.601306634922438.835607182613998.36700608723
742821.908228673531975.662694317903668.15376302916
753350.128640099862442.140129336114258.11715086361
762673.020668916361707.117126744633638.9242110881
772992.193275989541971.550699633444012.83585234563
783279.728532473232207.036500106614352.42056483984
792489.796089393241367.369856348453612.22232243803
802924.597244726181754.456723850654094.73776560171
813175.656169606761959.583400749074391.72893846444
823216.847243491601956.429343243714477.26514373948
832723.224768306161419.886760009654026.56277660266
843187.274967331211842.30536398574532.24457067673

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 3218.60130663492 & 2438.83560718261 & 3998.36700608723 \tabularnewline
74 & 2821.90822867353 & 1975.66269431790 & 3668.15376302916 \tabularnewline
75 & 3350.12864009986 & 2442.14012933611 & 4258.11715086361 \tabularnewline
76 & 2673.02066891636 & 1707.11712674463 & 3638.9242110881 \tabularnewline
77 & 2992.19327598954 & 1971.55069963344 & 4012.83585234563 \tabularnewline
78 & 3279.72853247323 & 2207.03650010661 & 4352.42056483984 \tabularnewline
79 & 2489.79608939324 & 1367.36985634845 & 3612.22232243803 \tabularnewline
80 & 2924.59724472618 & 1754.45672385065 & 4094.73776560171 \tabularnewline
81 & 3175.65616960676 & 1959.58340074907 & 4391.72893846444 \tabularnewline
82 & 3216.84724349160 & 1956.42934324371 & 4477.26514373948 \tabularnewline
83 & 2723.22476830616 & 1419.88676000965 & 4026.56277660266 \tabularnewline
84 & 3187.27496733121 & 1842.3053639857 & 4532.24457067673 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13113&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]3218.60130663492[/C][C]2438.83560718261[/C][C]3998.36700608723[/C][/ROW]
[ROW][C]74[/C][C]2821.90822867353[/C][C]1975.66269431790[/C][C]3668.15376302916[/C][/ROW]
[ROW][C]75[/C][C]3350.12864009986[/C][C]2442.14012933611[/C][C]4258.11715086361[/C][/ROW]
[ROW][C]76[/C][C]2673.02066891636[/C][C]1707.11712674463[/C][C]3638.9242110881[/C][/ROW]
[ROW][C]77[/C][C]2992.19327598954[/C][C]1971.55069963344[/C][C]4012.83585234563[/C][/ROW]
[ROW][C]78[/C][C]3279.72853247323[/C][C]2207.03650010661[/C][C]4352.42056483984[/C][/ROW]
[ROW][C]79[/C][C]2489.79608939324[/C][C]1367.36985634845[/C][C]3612.22232243803[/C][/ROW]
[ROW][C]80[/C][C]2924.59724472618[/C][C]1754.45672385065[/C][C]4094.73776560171[/C][/ROW]
[ROW][C]81[/C][C]3175.65616960676[/C][C]1959.58340074907[/C][C]4391.72893846444[/C][/ROW]
[ROW][C]82[/C][C]3216.84724349160[/C][C]1956.42934324371[/C][C]4477.26514373948[/C][/ROW]
[ROW][C]83[/C][C]2723.22476830616[/C][C]1419.88676000965[/C][C]4026.56277660266[/C][/ROW]
[ROW][C]84[/C][C]3187.27496733121[/C][C]1842.3053639857[/C][C]4532.24457067673[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13113&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13113&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
733218.601306634922438.835607182613998.36700608723
742821.908228673531975.662694317903668.15376302916
753350.128640099862442.140129336114258.11715086361
762673.020668916361707.117126744633638.9242110881
772992.193275989541971.550699633444012.83585234563
783279.728532473232207.036500106614352.42056483984
792489.796089393241367.369856348453612.22232243803
802924.597244726181754.456723850654094.73776560171
813175.656169606761959.583400749074391.72893846444
823216.847243491601956.429343243714477.26514373948
832723.224768306161419.886760009654026.56277660266
843187.274967331211842.30536398574532.24457067673



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