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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 04 Dec 2009 12:58:01 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t12599567398s37y49zcfm4f4k.htm/, Retrieved Sun, 28 Apr 2024 13:58:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64113, Retrieved Sun, 28 Apr 2024 13:58:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Exponential Smoothing] [] [2009-11-27 15:04:36] [b98453cac15ba1066b407e146608df68]
-   PD      [Exponential Smoothing] [] [2009-12-04 19:58:01] [90c9838c596c9c0a7d0d4c412ffe5b98] [Current]
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Dataseries X:
6802.96
7132.68
7073.29
7264.5
7105.33
7218.71
7225.72
7354.25
7745.46
8070.26
8366.33
8667.51
8854.34
9218.1
9332.9
9358.31
9248.66
9401.2
9652.04
9957.38
10110.63
10169.26
10343.78
10750.21
11337.5
11786.96
12083.04
12007.74
11745.93
11051.51
11445.9
11924.88
12247.63
12690.91
12910.7
13202.12
13654.67
13862.82
13523.93
14211.17
14510.35
14289.23
14111.82
13086.59
13351.54
13747.69
12855.61
12926.93
12121.95
11731.65
11639.51
12163.78
12029.53
11234.18
9852.13
9709.04
9332.75
7108.6
6691.49
6143.05




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64113&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64113&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64113&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.176362058368753
gamma0.479537072882266

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.176362058368753 \tabularnewline
gamma & 0.479537072882266 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64113&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.176362058368753[/C][/ROW]
[ROW][C]gamma[/C][C]0.479537072882266[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64113&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64113&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
alpha1
beta0.176362058368753
gamma0.479537072882266







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
138854.347758.35416115461095.98583884539
149218.19392.10719616172-174.007196161721
159332.99477.31508899954-144.415088999538
169358.319496.38394000953-138.073940009532
179248.669374.8502648369-126.190264836894
189401.29505.65425610844-104.454256108442
199652.049399.20384066522252.836159334785
209957.389893.595776908963.7842230911028
2110110.6310556.0337836706-445.403783670636
2210169.2610533.1392441504-363.879244150394
2310343.7810490.1606506331-146.380650633082
2410750.2110636.6790413784113.530958621624
2511337.510906.8953002396430.604699760373
2611786.9611772.896021901514.0639780984493
2712083.0411909.8761193753173.163880624727
2812007.7412146.5864978091-138.846497809071
2911745.9311895.4333983305-149.503398330531
3011051.5111944.6936977710-893.183697771025
3111445.910817.4201879184628.479812081601
3211924.8811556.8932393684367.986760631593
3312247.6312510.6936107980-263.063610797968
3412690.9112671.214470795419.6955292045677
3512910.713077.9663608808-167.266360880754
3613202.1213265.4076767090-63.2876767089838
3713654.6713350.9388804778303.731119522243
3813862.8214100.2577307416-237.437730741571
3913523.9313892.0469578098-368.116957809822
4014211.1713398.1988744156812.97112558436
4114510.3514037.415506651472.934493349001
4214289.2314818.4073565848-529.177356584833
4314111.8214142.8103012448-30.9903012448431
4413086.5914266.0795960327-1179.48959603274
4513351.5413483.1778420786-131.637842078622
4613747.6913592.0466794586155.643320541370
4712855.6113967.8734777699-1112.26347776991
4812926.9312855.671356074971.2586439250663
4912121.9512746.2478767205-624.297876720511
5011731.6512040.6082042189-308.958204218876
5111639.5111274.7136004484364.796399551631
5212163.7811173.6319913155990.148008684493
5312029.5311718.8152167479310.714783252055
5411234.1811981.3512041393-747.171204139322
559852.1310780.2956805676-928.165680567628
569709.049483.63219436466225.407805635339
579332.759702.91720775136-370.167207751361
587108.69145.57380846076-2036.97380846076
596691.496481.45123315786210.038766842144
606143.056081.1901041726561.8598958273524

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 8854.34 & 7758.3541611546 & 1095.98583884539 \tabularnewline
14 & 9218.1 & 9392.10719616172 & -174.007196161721 \tabularnewline
15 & 9332.9 & 9477.31508899954 & -144.415088999538 \tabularnewline
16 & 9358.31 & 9496.38394000953 & -138.073940009532 \tabularnewline
17 & 9248.66 & 9374.8502648369 & -126.190264836894 \tabularnewline
18 & 9401.2 & 9505.65425610844 & -104.454256108442 \tabularnewline
19 & 9652.04 & 9399.20384066522 & 252.836159334785 \tabularnewline
20 & 9957.38 & 9893.5957769089 & 63.7842230911028 \tabularnewline
21 & 10110.63 & 10556.0337836706 & -445.403783670636 \tabularnewline
22 & 10169.26 & 10533.1392441504 & -363.879244150394 \tabularnewline
23 & 10343.78 & 10490.1606506331 & -146.380650633082 \tabularnewline
24 & 10750.21 & 10636.6790413784 & 113.530958621624 \tabularnewline
25 & 11337.5 & 10906.8953002396 & 430.604699760373 \tabularnewline
26 & 11786.96 & 11772.8960219015 & 14.0639780984493 \tabularnewline
27 & 12083.04 & 11909.8761193753 & 173.163880624727 \tabularnewline
28 & 12007.74 & 12146.5864978091 & -138.846497809071 \tabularnewline
29 & 11745.93 & 11895.4333983305 & -149.503398330531 \tabularnewline
30 & 11051.51 & 11944.6936977710 & -893.183697771025 \tabularnewline
31 & 11445.9 & 10817.4201879184 & 628.479812081601 \tabularnewline
32 & 11924.88 & 11556.8932393684 & 367.986760631593 \tabularnewline
33 & 12247.63 & 12510.6936107980 & -263.063610797968 \tabularnewline
34 & 12690.91 & 12671.2144707954 & 19.6955292045677 \tabularnewline
35 & 12910.7 & 13077.9663608808 & -167.266360880754 \tabularnewline
36 & 13202.12 & 13265.4076767090 & -63.2876767089838 \tabularnewline
37 & 13654.67 & 13350.9388804778 & 303.731119522243 \tabularnewline
38 & 13862.82 & 14100.2577307416 & -237.437730741571 \tabularnewline
39 & 13523.93 & 13892.0469578098 & -368.116957809822 \tabularnewline
40 & 14211.17 & 13398.1988744156 & 812.97112558436 \tabularnewline
41 & 14510.35 & 14037.415506651 & 472.934493349001 \tabularnewline
42 & 14289.23 & 14818.4073565848 & -529.177356584833 \tabularnewline
43 & 14111.82 & 14142.8103012448 & -30.9903012448431 \tabularnewline
44 & 13086.59 & 14266.0795960327 & -1179.48959603274 \tabularnewline
45 & 13351.54 & 13483.1778420786 & -131.637842078622 \tabularnewline
46 & 13747.69 & 13592.0466794586 & 155.643320541370 \tabularnewline
47 & 12855.61 & 13967.8734777699 & -1112.26347776991 \tabularnewline
48 & 12926.93 & 12855.6713560749 & 71.2586439250663 \tabularnewline
49 & 12121.95 & 12746.2478767205 & -624.297876720511 \tabularnewline
50 & 11731.65 & 12040.6082042189 & -308.958204218876 \tabularnewline
51 & 11639.51 & 11274.7136004484 & 364.796399551631 \tabularnewline
52 & 12163.78 & 11173.6319913155 & 990.148008684493 \tabularnewline
53 & 12029.53 & 11718.8152167479 & 310.714783252055 \tabularnewline
54 & 11234.18 & 11981.3512041393 & -747.171204139322 \tabularnewline
55 & 9852.13 & 10780.2956805676 & -928.165680567628 \tabularnewline
56 & 9709.04 & 9483.63219436466 & 225.407805635339 \tabularnewline
57 & 9332.75 & 9702.91720775136 & -370.167207751361 \tabularnewline
58 & 7108.6 & 9145.57380846076 & -2036.97380846076 \tabularnewline
59 & 6691.49 & 6481.45123315786 & 210.038766842144 \tabularnewline
60 & 6143.05 & 6081.19010417265 & 61.8598958273524 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64113&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]8854.34[/C][C]7758.3541611546[/C][C]1095.98583884539[/C][/ROW]
[ROW][C]14[/C][C]9218.1[/C][C]9392.10719616172[/C][C]-174.007196161721[/C][/ROW]
[ROW][C]15[/C][C]9332.9[/C][C]9477.31508899954[/C][C]-144.415088999538[/C][/ROW]
[ROW][C]16[/C][C]9358.31[/C][C]9496.38394000953[/C][C]-138.073940009532[/C][/ROW]
[ROW][C]17[/C][C]9248.66[/C][C]9374.8502648369[/C][C]-126.190264836894[/C][/ROW]
[ROW][C]18[/C][C]9401.2[/C][C]9505.65425610844[/C][C]-104.454256108442[/C][/ROW]
[ROW][C]19[/C][C]9652.04[/C][C]9399.20384066522[/C][C]252.836159334785[/C][/ROW]
[ROW][C]20[/C][C]9957.38[/C][C]9893.5957769089[/C][C]63.7842230911028[/C][/ROW]
[ROW][C]21[/C][C]10110.63[/C][C]10556.0337836706[/C][C]-445.403783670636[/C][/ROW]
[ROW][C]22[/C][C]10169.26[/C][C]10533.1392441504[/C][C]-363.879244150394[/C][/ROW]
[ROW][C]23[/C][C]10343.78[/C][C]10490.1606506331[/C][C]-146.380650633082[/C][/ROW]
[ROW][C]24[/C][C]10750.21[/C][C]10636.6790413784[/C][C]113.530958621624[/C][/ROW]
[ROW][C]25[/C][C]11337.5[/C][C]10906.8953002396[/C][C]430.604699760373[/C][/ROW]
[ROW][C]26[/C][C]11786.96[/C][C]11772.8960219015[/C][C]14.0639780984493[/C][/ROW]
[ROW][C]27[/C][C]12083.04[/C][C]11909.8761193753[/C][C]173.163880624727[/C][/ROW]
[ROW][C]28[/C][C]12007.74[/C][C]12146.5864978091[/C][C]-138.846497809071[/C][/ROW]
[ROW][C]29[/C][C]11745.93[/C][C]11895.4333983305[/C][C]-149.503398330531[/C][/ROW]
[ROW][C]30[/C][C]11051.51[/C][C]11944.6936977710[/C][C]-893.183697771025[/C][/ROW]
[ROW][C]31[/C][C]11445.9[/C][C]10817.4201879184[/C][C]628.479812081601[/C][/ROW]
[ROW][C]32[/C][C]11924.88[/C][C]11556.8932393684[/C][C]367.986760631593[/C][/ROW]
[ROW][C]33[/C][C]12247.63[/C][C]12510.6936107980[/C][C]-263.063610797968[/C][/ROW]
[ROW][C]34[/C][C]12690.91[/C][C]12671.2144707954[/C][C]19.6955292045677[/C][/ROW]
[ROW][C]35[/C][C]12910.7[/C][C]13077.9663608808[/C][C]-167.266360880754[/C][/ROW]
[ROW][C]36[/C][C]13202.12[/C][C]13265.4076767090[/C][C]-63.2876767089838[/C][/ROW]
[ROW][C]37[/C][C]13654.67[/C][C]13350.9388804778[/C][C]303.731119522243[/C][/ROW]
[ROW][C]38[/C][C]13862.82[/C][C]14100.2577307416[/C][C]-237.437730741571[/C][/ROW]
[ROW][C]39[/C][C]13523.93[/C][C]13892.0469578098[/C][C]-368.116957809822[/C][/ROW]
[ROW][C]40[/C][C]14211.17[/C][C]13398.1988744156[/C][C]812.97112558436[/C][/ROW]
[ROW][C]41[/C][C]14510.35[/C][C]14037.415506651[/C][C]472.934493349001[/C][/ROW]
[ROW][C]42[/C][C]14289.23[/C][C]14818.4073565848[/C][C]-529.177356584833[/C][/ROW]
[ROW][C]43[/C][C]14111.82[/C][C]14142.8103012448[/C][C]-30.9903012448431[/C][/ROW]
[ROW][C]44[/C][C]13086.59[/C][C]14266.0795960327[/C][C]-1179.48959603274[/C][/ROW]
[ROW][C]45[/C][C]13351.54[/C][C]13483.1778420786[/C][C]-131.637842078622[/C][/ROW]
[ROW][C]46[/C][C]13747.69[/C][C]13592.0466794586[/C][C]155.643320541370[/C][/ROW]
[ROW][C]47[/C][C]12855.61[/C][C]13967.8734777699[/C][C]-1112.26347776991[/C][/ROW]
[ROW][C]48[/C][C]12926.93[/C][C]12855.6713560749[/C][C]71.2586439250663[/C][/ROW]
[ROW][C]49[/C][C]12121.95[/C][C]12746.2478767205[/C][C]-624.297876720511[/C][/ROW]
[ROW][C]50[/C][C]11731.65[/C][C]12040.6082042189[/C][C]-308.958204218876[/C][/ROW]
[ROW][C]51[/C][C]11639.51[/C][C]11274.7136004484[/C][C]364.796399551631[/C][/ROW]
[ROW][C]52[/C][C]12163.78[/C][C]11173.6319913155[/C][C]990.148008684493[/C][/ROW]
[ROW][C]53[/C][C]12029.53[/C][C]11718.8152167479[/C][C]310.714783252055[/C][/ROW]
[ROW][C]54[/C][C]11234.18[/C][C]11981.3512041393[/C][C]-747.171204139322[/C][/ROW]
[ROW][C]55[/C][C]9852.13[/C][C]10780.2956805676[/C][C]-928.165680567628[/C][/ROW]
[ROW][C]56[/C][C]9709.04[/C][C]9483.63219436466[/C][C]225.407805635339[/C][/ROW]
[ROW][C]57[/C][C]9332.75[/C][C]9702.91720775136[/C][C]-370.167207751361[/C][/ROW]
[ROW][C]58[/C][C]7108.6[/C][C]9145.57380846076[/C][C]-2036.97380846076[/C][/ROW]
[ROW][C]59[/C][C]6691.49[/C][C]6481.45123315786[/C][C]210.038766842144[/C][/ROW]
[ROW][C]60[/C][C]6143.05[/C][C]6081.19010417265[/C][C]61.8598958273524[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64113&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64113&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
138854.347758.35416115461095.98583884539
149218.19392.10719616172-174.007196161721
159332.99477.31508899954-144.415088999538
169358.319496.38394000953-138.073940009532
179248.669374.8502648369-126.190264836894
189401.29505.65425610844-104.454256108442
199652.049399.20384066522252.836159334785
209957.389893.595776908963.7842230911028
2110110.6310556.0337836706-445.403783670636
2210169.2610533.1392441504-363.879244150394
2310343.7810490.1606506331-146.380650633082
2410750.2110636.6790413784113.530958621624
2511337.510906.8953002396430.604699760373
2611786.9611772.896021901514.0639780984493
2712083.0411909.8761193753173.163880624727
2812007.7412146.5864978091-138.846497809071
2911745.9311895.4333983305-149.503398330531
3011051.5111944.6936977710-893.183697771025
3111445.910817.4201879184628.479812081601
3211924.8811556.8932393684367.986760631593
3312247.6312510.6936107980-263.063610797968
3412690.9112671.214470795419.6955292045677
3512910.713077.9663608808-167.266360880754
3613202.1213265.4076767090-63.2876767089838
3713654.6713350.9388804778303.731119522243
3813862.8214100.2577307416-237.437730741571
3913523.9313892.0469578098-368.116957809822
4014211.1713398.1988744156812.97112558436
4114510.3514037.415506651472.934493349001
4214289.2314818.4073565848-529.177356584833
4314111.8214142.8103012448-30.9903012448431
4413086.5914266.0795960327-1179.48959603274
4513351.5413483.1778420786-131.637842078622
4613747.6913592.0466794586155.643320541370
4712855.6113967.8734777699-1112.26347776991
4812926.9312855.671356074971.2586439250663
4912121.9512746.2478767205-624.297876720511
5011731.6512040.6082042189-308.958204218876
5111639.5111274.7136004484364.796399551631
5212163.7811173.6319913155990.148008684493
5312029.5311718.8152167479310.714783252055
5411234.1811981.3512041393-747.171204139322
559852.1310780.2956805676-928.165680567628
569709.049483.63219436466225.407805635339
579332.759702.91720775136-370.167207751361
587108.69145.57380846076-2036.97380846076
596691.496481.45123315786210.038766842144
606143.056081.1901041726561.8598958273524







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
615444.311845337354353.18666978286535.4370208919
624830.622760200133129.755896562946531.48962383733
634083.229940986171845.618662962886320.84121900947
643328.18624262841578.8404345638966077.53205069293
652566.16528062199-656.7079155187065789.03847676269
661899.64364108859-1887.906806827545687.19408900472
671204.22777904199-3062.427476814255470.88303489822
68556.003241732614-4285.921953714085397.92843717931
69-88.9399258571853-5699.245211238265521.36535952389
70-764.110964473387-7134.186203294725605.96427434794
71-1458.65852935581-8603.55646702285686.23940831118
72-2171.96421143836-10049.60160707795705.6731842012

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 5444.31184533735 & 4353.1866697828 & 6535.4370208919 \tabularnewline
62 & 4830.62276020013 & 3129.75589656294 & 6531.48962383733 \tabularnewline
63 & 4083.22994098617 & 1845.61866296288 & 6320.84121900947 \tabularnewline
64 & 3328.18624262841 & 578.840434563896 & 6077.53205069293 \tabularnewline
65 & 2566.16528062199 & -656.707915518706 & 5789.03847676269 \tabularnewline
66 & 1899.64364108859 & -1887.90680682754 & 5687.19408900472 \tabularnewline
67 & 1204.22777904199 & -3062.42747681425 & 5470.88303489822 \tabularnewline
68 & 556.003241732614 & -4285.92195371408 & 5397.92843717931 \tabularnewline
69 & -88.9399258571853 & -5699.24521123826 & 5521.36535952389 \tabularnewline
70 & -764.110964473387 & -7134.18620329472 & 5605.96427434794 \tabularnewline
71 & -1458.65852935581 & -8603.5564670228 & 5686.23940831118 \tabularnewline
72 & -2171.96421143836 & -10049.6016070779 & 5705.6731842012 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64113&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]61[/C][C]5444.31184533735[/C][C]4353.1866697828[/C][C]6535.4370208919[/C][/ROW]
[ROW][C]62[/C][C]4830.62276020013[/C][C]3129.75589656294[/C][C]6531.48962383733[/C][/ROW]
[ROW][C]63[/C][C]4083.22994098617[/C][C]1845.61866296288[/C][C]6320.84121900947[/C][/ROW]
[ROW][C]64[/C][C]3328.18624262841[/C][C]578.840434563896[/C][C]6077.53205069293[/C][/ROW]
[ROW][C]65[/C][C]2566.16528062199[/C][C]-656.707915518706[/C][C]5789.03847676269[/C][/ROW]
[ROW][C]66[/C][C]1899.64364108859[/C][C]-1887.90680682754[/C][C]5687.19408900472[/C][/ROW]
[ROW][C]67[/C][C]1204.22777904199[/C][C]-3062.42747681425[/C][C]5470.88303489822[/C][/ROW]
[ROW][C]68[/C][C]556.003241732614[/C][C]-4285.92195371408[/C][C]5397.92843717931[/C][/ROW]
[ROW][C]69[/C][C]-88.9399258571853[/C][C]-5699.24521123826[/C][C]5521.36535952389[/C][/ROW]
[ROW][C]70[/C][C]-764.110964473387[/C][C]-7134.18620329472[/C][C]5605.96427434794[/C][/ROW]
[ROW][C]71[/C][C]-1458.65852935581[/C][C]-8603.5564670228[/C][C]5686.23940831118[/C][/ROW]
[ROW][C]72[/C][C]-2171.96421143836[/C][C]-10049.6016070779[/C][C]5705.6731842012[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64113&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64113&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
615444.311845337354353.18666978286535.4370208919
624830.622760200133129.755896562946531.48962383733
634083.229940986171845.618662962886320.84121900947
643328.18624262841578.8404345638966077.53205069293
652566.16528062199-656.7079155187065789.03847676269
661899.64364108859-1887.906806827545687.19408900472
671204.22777904199-3062.427476814255470.88303489822
68556.003241732614-4285.921953714085397.92843717931
69-88.9399258571853-5699.245211238265521.36535952389
70-764.110964473387-7134.186203294725605.96427434794
71-1458.65852935581-8603.55646702285686.23940831118
72-2171.96421143836-10049.60160707795705.6731842012



Parameters (Session):
par1 = Aandelenkoers ; par2 = belgostat ; par3 = euronext brussel ;
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')