Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationTue, 20 Dec 2016 00:51:21 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/20/t14821915051ardokbmsofsbwc.htm/, Retrieved Sun, 28 Apr 2024 13:48:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301546, Retrieved Sun, 28 Apr 2024 13:48:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponential smoot...] [2016-12-19 23:51:21] [1e2c9196efc58119c3757b6c78ac7c5f] [Current]
Feedback Forum

Post a new message
Dataseries X:
3647
1885
4791
3178
2849
4716
3085
2799
3573
2721
3355
5667
2856
1944
4188
2949
3567
4137
3494
2489
3244
2669
2529
3377
3366
2073
4133
4213
3710
5123
3141
3084
3804
3203
2757
2243
5229
2857
3395
4882
7140
8945
6866
4205
3217
3079
2263
4187
2665
2073
3540
3686
2384
4500
1679
868
1869
3710
6904
3415
938
3359
3551
2278
3033
2280
2901
4812
4882
7896
5048
3741
4418
3471
5055
7595
8124
2333
3008
2744
2833
2428
4269
3207
5170
7767
4544
3741
2193
3432
5282
6635
4222
7317
4132
5048
4383
3761
4081
6491
5859
7139
7682
8649
6146
7137
9948
15819
8370
13222
16711
19059
8303
20781
9638
13444
6072
13442
14457
17705
16463
19194
20688
14739
12702
15760




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301546&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301546&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301546&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.340258676878912
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.340258676878912 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301546&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]0.340258676878912[/C][/ROW]
[ROW][C]beta[/C][C]FALSE[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301546&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301546&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
alpha0.340258676878912
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
218853647-1762
347913047.464211339361743.53578866064
431783640.71739188006-462.717391880058
528493483.27378435009-634.273784350089
647163267.456625708151448.54337429185
730853760.33607764641-675.336077646408
827993530.54711741785-731.547117417847
935733281.63186317067291.368136829331
1027213380.77239989289-659.772399892891
1133553156.27911606411198.720883935888
1256673223.895621100352443.10437889965
1328564055.18308454182-1199.18308454182
1419443647.15063486005-1703.15063486005
1541883067.638853317091120.36114668291
1629493448.85145471396-499.851454713957
1735673278.77266009699288.227339903014
1841373376.84451341271760.155486587286
1934943635.49401350115-141.49401350115
2024893587.34944768096-1098.34944768096
2132443213.6265178623530.3734821376456
2226693223.96135870672-554.961358706715
2325293035.13094107425-506.130941074245
2433772862.91549673684514.084503263156
2533663037.83720962112328.162790378882
2620733149.49744647633-1076.49744647633
2741332783.209849674771349.79015032523
2842133242.48766028862970.512339711382
2937103572.71290489347137.28709510653
3051233619.426030226971503.57396977303
3131414131.03011977151-990.030119771513
3230843794.16378114779-710.163781147787
3338043552.52439260712251.475607392884
3432033638.09115004594-435.09115004594
3527573490.04761100958-733.047611009584
3622433240.62180079822-997.621800798216
3752292901.172326833062327.82767316694
3828573693.23589090696-836.235890906958
3933953408.6993731083-13.6993731082985
4048823404.03804254041477.9619574596
4171403906.927422662973233.07257733703
4289455007.008420081163937.99157991884
4368666346.94422462464519.055775375358
4442056523.55745598022-2318.55745598022
4532175734.64816374065-2517.64816374065
4630794877.99653069964-1798.99653069964
4722634265.87235145403-2002.87235145403
4841873584.37765519092602.622344809076
4926653789.42513689333-1124.42513689333
5020733406.82972756461-1333.82972756461
5135402952.98258928172587.017410718281
5236863152.72035675761533.279643242393
5323843334.17338257372-950.173382573722
5445003010.868644613631489.13135538637
5516793517.5585092963-1838.5585092963
568682891.97302355867-2023.97302355867
5718692203.29864052399-334.298640523988
5837102089.550627416881620.44937258312
5969042640.922586881274263.07741311873
6034154091.47166690143-676.471666901426
619383861.29631257547-2923.29631257547
6233592866.61937713354492.380622866458
6335513034.1561563909516.843843609103
6422783210.01675877034-932.016758770342
6530332892.88996960217140.110030397826
6622802940.5636231628-660.563623162802
6729012715.80111875109185.198881248913
6848122778.81664504432033.1833549557
6948823470.624923253751411.37507674625
7078963950.85753944733945.1424605527
7150485293.22649317378-245.22649317378
7237415209.78605107081-1468.78605107081
7344184710.01885271526-292.018852715257
7434714610.65690426667-1139.65690426667
7550554222.87875392497832.121246075027
7675954506.015228117293088.98477188271
7781245557.069099497212566.93090050279
7823336430.48961134189-4097.48961134189
7930085036.28321766161-2028.28321766161
8027444346.14225368437-1602.14225368437
8128333800.99945027393-967.999450273927
8224283471.62923810421-1043.62923810421
8342693116.525334394721152.47466560528
8432073508.66483925004-301.664839250041
8551703406.020760185931763.97923981407
8677674006.230002366943760.76999763306
8745445285.86462580747-741.864625807471
8837415033.43874980695-1292.43874980695
8921934593.6752508506-2400.6752508506
9034323776.82466638023-344.824666380227
9152823659.495081642481622.50491835752
9266354211.566458392342423.43354160766
9342225036.16074876374-814.160748763737
9473174759.135489622642557.86451037736
9541325629.47108355917-1497.47108355917
9650485119.9435540029-71.9435540028953
9743835095.4641355079-712.464135507904
9837614853.04203143631-1092.04203143631
9940814481.46525472363-400.46525472363
10064914345.203477015392145.79652298461
10158595075.3293627775783.670637222495
10271395341.980096907691797.01990309231
10376825953.431711458951728.56828854105
10486496541.592070212772107.40792978723
10561467258.6559040463-1112.6559040463
10671376880.065078314256.934921686003
10799486967.489414810862980.51058518914
108158197981.634002950917837.36599704909
109837010648.3657873226-2278.36578732261
110132229873.132059082043348.86794091796
1111671111012.6134337015698.38656629901
1121905912951.53890709456107.46109290554
113830315029.6555376559-6726.65553765593
1142078112740.85262459298040.14737540708
115963815476.5825324604-5838.58253246039
1161344413489.9541651171-45.9541651170912
117607213474.3178616973-7402.31786169728
1181344210955.6149802392486.38501976098
1191445711801.62905727442655.37094272556
1201770512705.1420608694999.85793913105
1211646314406.38710782022056.61289217979
1221919415106.16748936544087.83251063458
1232068816497.08797073654190.91202926346
1241473917923.0821527296-3184.08215272964
1251270216839.6705723681-4137.6705723681
1261576015431.7922580533328.20774194668

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 1885 & 3647 & -1762 \tabularnewline
3 & 4791 & 3047.46421133936 & 1743.53578866064 \tabularnewline
4 & 3178 & 3640.71739188006 & -462.717391880058 \tabularnewline
5 & 2849 & 3483.27378435009 & -634.273784350089 \tabularnewline
6 & 4716 & 3267.45662570815 & 1448.54337429185 \tabularnewline
7 & 3085 & 3760.33607764641 & -675.336077646408 \tabularnewline
8 & 2799 & 3530.54711741785 & -731.547117417847 \tabularnewline
9 & 3573 & 3281.63186317067 & 291.368136829331 \tabularnewline
10 & 2721 & 3380.77239989289 & -659.772399892891 \tabularnewline
11 & 3355 & 3156.27911606411 & 198.720883935888 \tabularnewline
12 & 5667 & 3223.89562110035 & 2443.10437889965 \tabularnewline
13 & 2856 & 4055.18308454182 & -1199.18308454182 \tabularnewline
14 & 1944 & 3647.15063486005 & -1703.15063486005 \tabularnewline
15 & 4188 & 3067.63885331709 & 1120.36114668291 \tabularnewline
16 & 2949 & 3448.85145471396 & -499.851454713957 \tabularnewline
17 & 3567 & 3278.77266009699 & 288.227339903014 \tabularnewline
18 & 4137 & 3376.84451341271 & 760.155486587286 \tabularnewline
19 & 3494 & 3635.49401350115 & -141.49401350115 \tabularnewline
20 & 2489 & 3587.34944768096 & -1098.34944768096 \tabularnewline
21 & 3244 & 3213.62651786235 & 30.3734821376456 \tabularnewline
22 & 2669 & 3223.96135870672 & -554.961358706715 \tabularnewline
23 & 2529 & 3035.13094107425 & -506.130941074245 \tabularnewline
24 & 3377 & 2862.91549673684 & 514.084503263156 \tabularnewline
25 & 3366 & 3037.83720962112 & 328.162790378882 \tabularnewline
26 & 2073 & 3149.49744647633 & -1076.49744647633 \tabularnewline
27 & 4133 & 2783.20984967477 & 1349.79015032523 \tabularnewline
28 & 4213 & 3242.48766028862 & 970.512339711382 \tabularnewline
29 & 3710 & 3572.71290489347 & 137.28709510653 \tabularnewline
30 & 5123 & 3619.42603022697 & 1503.57396977303 \tabularnewline
31 & 3141 & 4131.03011977151 & -990.030119771513 \tabularnewline
32 & 3084 & 3794.16378114779 & -710.163781147787 \tabularnewline
33 & 3804 & 3552.52439260712 & 251.475607392884 \tabularnewline
34 & 3203 & 3638.09115004594 & -435.09115004594 \tabularnewline
35 & 2757 & 3490.04761100958 & -733.047611009584 \tabularnewline
36 & 2243 & 3240.62180079822 & -997.621800798216 \tabularnewline
37 & 5229 & 2901.17232683306 & 2327.82767316694 \tabularnewline
38 & 2857 & 3693.23589090696 & -836.235890906958 \tabularnewline
39 & 3395 & 3408.6993731083 & -13.6993731082985 \tabularnewline
40 & 4882 & 3404.0380425404 & 1477.9619574596 \tabularnewline
41 & 7140 & 3906.92742266297 & 3233.07257733703 \tabularnewline
42 & 8945 & 5007.00842008116 & 3937.99157991884 \tabularnewline
43 & 6866 & 6346.94422462464 & 519.055775375358 \tabularnewline
44 & 4205 & 6523.55745598022 & -2318.55745598022 \tabularnewline
45 & 3217 & 5734.64816374065 & -2517.64816374065 \tabularnewline
46 & 3079 & 4877.99653069964 & -1798.99653069964 \tabularnewline
47 & 2263 & 4265.87235145403 & -2002.87235145403 \tabularnewline
48 & 4187 & 3584.37765519092 & 602.622344809076 \tabularnewline
49 & 2665 & 3789.42513689333 & -1124.42513689333 \tabularnewline
50 & 2073 & 3406.82972756461 & -1333.82972756461 \tabularnewline
51 & 3540 & 2952.98258928172 & 587.017410718281 \tabularnewline
52 & 3686 & 3152.72035675761 & 533.279643242393 \tabularnewline
53 & 2384 & 3334.17338257372 & -950.173382573722 \tabularnewline
54 & 4500 & 3010.86864461363 & 1489.13135538637 \tabularnewline
55 & 1679 & 3517.5585092963 & -1838.5585092963 \tabularnewline
56 & 868 & 2891.97302355867 & -2023.97302355867 \tabularnewline
57 & 1869 & 2203.29864052399 & -334.298640523988 \tabularnewline
58 & 3710 & 2089.55062741688 & 1620.44937258312 \tabularnewline
59 & 6904 & 2640.92258688127 & 4263.07741311873 \tabularnewline
60 & 3415 & 4091.47166690143 & -676.471666901426 \tabularnewline
61 & 938 & 3861.29631257547 & -2923.29631257547 \tabularnewline
62 & 3359 & 2866.61937713354 & 492.380622866458 \tabularnewline
63 & 3551 & 3034.1561563909 & 516.843843609103 \tabularnewline
64 & 2278 & 3210.01675877034 & -932.016758770342 \tabularnewline
65 & 3033 & 2892.88996960217 & 140.110030397826 \tabularnewline
66 & 2280 & 2940.5636231628 & -660.563623162802 \tabularnewline
67 & 2901 & 2715.80111875109 & 185.198881248913 \tabularnewline
68 & 4812 & 2778.8166450443 & 2033.1833549557 \tabularnewline
69 & 4882 & 3470.62492325375 & 1411.37507674625 \tabularnewline
70 & 7896 & 3950.8575394473 & 3945.1424605527 \tabularnewline
71 & 5048 & 5293.22649317378 & -245.22649317378 \tabularnewline
72 & 3741 & 5209.78605107081 & -1468.78605107081 \tabularnewline
73 & 4418 & 4710.01885271526 & -292.018852715257 \tabularnewline
74 & 3471 & 4610.65690426667 & -1139.65690426667 \tabularnewline
75 & 5055 & 4222.87875392497 & 832.121246075027 \tabularnewline
76 & 7595 & 4506.01522811729 & 3088.98477188271 \tabularnewline
77 & 8124 & 5557.06909949721 & 2566.93090050279 \tabularnewline
78 & 2333 & 6430.48961134189 & -4097.48961134189 \tabularnewline
79 & 3008 & 5036.28321766161 & -2028.28321766161 \tabularnewline
80 & 2744 & 4346.14225368437 & -1602.14225368437 \tabularnewline
81 & 2833 & 3800.99945027393 & -967.999450273927 \tabularnewline
82 & 2428 & 3471.62923810421 & -1043.62923810421 \tabularnewline
83 & 4269 & 3116.52533439472 & 1152.47466560528 \tabularnewline
84 & 3207 & 3508.66483925004 & -301.664839250041 \tabularnewline
85 & 5170 & 3406.02076018593 & 1763.97923981407 \tabularnewline
86 & 7767 & 4006.23000236694 & 3760.76999763306 \tabularnewline
87 & 4544 & 5285.86462580747 & -741.864625807471 \tabularnewline
88 & 3741 & 5033.43874980695 & -1292.43874980695 \tabularnewline
89 & 2193 & 4593.6752508506 & -2400.6752508506 \tabularnewline
90 & 3432 & 3776.82466638023 & -344.824666380227 \tabularnewline
91 & 5282 & 3659.49508164248 & 1622.50491835752 \tabularnewline
92 & 6635 & 4211.56645839234 & 2423.43354160766 \tabularnewline
93 & 4222 & 5036.16074876374 & -814.160748763737 \tabularnewline
94 & 7317 & 4759.13548962264 & 2557.86451037736 \tabularnewline
95 & 4132 & 5629.47108355917 & -1497.47108355917 \tabularnewline
96 & 5048 & 5119.9435540029 & -71.9435540028953 \tabularnewline
97 & 4383 & 5095.4641355079 & -712.464135507904 \tabularnewline
98 & 3761 & 4853.04203143631 & -1092.04203143631 \tabularnewline
99 & 4081 & 4481.46525472363 & -400.46525472363 \tabularnewline
100 & 6491 & 4345.20347701539 & 2145.79652298461 \tabularnewline
101 & 5859 & 5075.3293627775 & 783.670637222495 \tabularnewline
102 & 7139 & 5341.98009690769 & 1797.01990309231 \tabularnewline
103 & 7682 & 5953.43171145895 & 1728.56828854105 \tabularnewline
104 & 8649 & 6541.59207021277 & 2107.40792978723 \tabularnewline
105 & 6146 & 7258.6559040463 & -1112.6559040463 \tabularnewline
106 & 7137 & 6880.065078314 & 256.934921686003 \tabularnewline
107 & 9948 & 6967.48941481086 & 2980.51058518914 \tabularnewline
108 & 15819 & 7981.63400295091 & 7837.36599704909 \tabularnewline
109 & 8370 & 10648.3657873226 & -2278.36578732261 \tabularnewline
110 & 13222 & 9873.13205908204 & 3348.86794091796 \tabularnewline
111 & 16711 & 11012.613433701 & 5698.38656629901 \tabularnewline
112 & 19059 & 12951.5389070945 & 6107.46109290554 \tabularnewline
113 & 8303 & 15029.6555376559 & -6726.65553765593 \tabularnewline
114 & 20781 & 12740.8526245929 & 8040.14737540708 \tabularnewline
115 & 9638 & 15476.5825324604 & -5838.58253246039 \tabularnewline
116 & 13444 & 13489.9541651171 & -45.9541651170912 \tabularnewline
117 & 6072 & 13474.3178616973 & -7402.31786169728 \tabularnewline
118 & 13442 & 10955.614980239 & 2486.38501976098 \tabularnewline
119 & 14457 & 11801.6290572744 & 2655.37094272556 \tabularnewline
120 & 17705 & 12705.142060869 & 4999.85793913105 \tabularnewline
121 & 16463 & 14406.3871078202 & 2056.61289217979 \tabularnewline
122 & 19194 & 15106.1674893654 & 4087.83251063458 \tabularnewline
123 & 20688 & 16497.0879707365 & 4190.91202926346 \tabularnewline
124 & 14739 & 17923.0821527296 & -3184.08215272964 \tabularnewline
125 & 12702 & 16839.6705723681 & -4137.6705723681 \tabularnewline
126 & 15760 & 15431.7922580533 & 328.20774194668 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301546&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]2[/C][C]1885[/C][C]3647[/C][C]-1762[/C][/ROW]
[ROW][C]3[/C][C]4791[/C][C]3047.46421133936[/C][C]1743.53578866064[/C][/ROW]
[ROW][C]4[/C][C]3178[/C][C]3640.71739188006[/C][C]-462.717391880058[/C][/ROW]
[ROW][C]5[/C][C]2849[/C][C]3483.27378435009[/C][C]-634.273784350089[/C][/ROW]
[ROW][C]6[/C][C]4716[/C][C]3267.45662570815[/C][C]1448.54337429185[/C][/ROW]
[ROW][C]7[/C][C]3085[/C][C]3760.33607764641[/C][C]-675.336077646408[/C][/ROW]
[ROW][C]8[/C][C]2799[/C][C]3530.54711741785[/C][C]-731.547117417847[/C][/ROW]
[ROW][C]9[/C][C]3573[/C][C]3281.63186317067[/C][C]291.368136829331[/C][/ROW]
[ROW][C]10[/C][C]2721[/C][C]3380.77239989289[/C][C]-659.772399892891[/C][/ROW]
[ROW][C]11[/C][C]3355[/C][C]3156.27911606411[/C][C]198.720883935888[/C][/ROW]
[ROW][C]12[/C][C]5667[/C][C]3223.89562110035[/C][C]2443.10437889965[/C][/ROW]
[ROW][C]13[/C][C]2856[/C][C]4055.18308454182[/C][C]-1199.18308454182[/C][/ROW]
[ROW][C]14[/C][C]1944[/C][C]3647.15063486005[/C][C]-1703.15063486005[/C][/ROW]
[ROW][C]15[/C][C]4188[/C][C]3067.63885331709[/C][C]1120.36114668291[/C][/ROW]
[ROW][C]16[/C][C]2949[/C][C]3448.85145471396[/C][C]-499.851454713957[/C][/ROW]
[ROW][C]17[/C][C]3567[/C][C]3278.77266009699[/C][C]288.227339903014[/C][/ROW]
[ROW][C]18[/C][C]4137[/C][C]3376.84451341271[/C][C]760.155486587286[/C][/ROW]
[ROW][C]19[/C][C]3494[/C][C]3635.49401350115[/C][C]-141.49401350115[/C][/ROW]
[ROW][C]20[/C][C]2489[/C][C]3587.34944768096[/C][C]-1098.34944768096[/C][/ROW]
[ROW][C]21[/C][C]3244[/C][C]3213.62651786235[/C][C]30.3734821376456[/C][/ROW]
[ROW][C]22[/C][C]2669[/C][C]3223.96135870672[/C][C]-554.961358706715[/C][/ROW]
[ROW][C]23[/C][C]2529[/C][C]3035.13094107425[/C][C]-506.130941074245[/C][/ROW]
[ROW][C]24[/C][C]3377[/C][C]2862.91549673684[/C][C]514.084503263156[/C][/ROW]
[ROW][C]25[/C][C]3366[/C][C]3037.83720962112[/C][C]328.162790378882[/C][/ROW]
[ROW][C]26[/C][C]2073[/C][C]3149.49744647633[/C][C]-1076.49744647633[/C][/ROW]
[ROW][C]27[/C][C]4133[/C][C]2783.20984967477[/C][C]1349.79015032523[/C][/ROW]
[ROW][C]28[/C][C]4213[/C][C]3242.48766028862[/C][C]970.512339711382[/C][/ROW]
[ROW][C]29[/C][C]3710[/C][C]3572.71290489347[/C][C]137.28709510653[/C][/ROW]
[ROW][C]30[/C][C]5123[/C][C]3619.42603022697[/C][C]1503.57396977303[/C][/ROW]
[ROW][C]31[/C][C]3141[/C][C]4131.03011977151[/C][C]-990.030119771513[/C][/ROW]
[ROW][C]32[/C][C]3084[/C][C]3794.16378114779[/C][C]-710.163781147787[/C][/ROW]
[ROW][C]33[/C][C]3804[/C][C]3552.52439260712[/C][C]251.475607392884[/C][/ROW]
[ROW][C]34[/C][C]3203[/C][C]3638.09115004594[/C][C]-435.09115004594[/C][/ROW]
[ROW][C]35[/C][C]2757[/C][C]3490.04761100958[/C][C]-733.047611009584[/C][/ROW]
[ROW][C]36[/C][C]2243[/C][C]3240.62180079822[/C][C]-997.621800798216[/C][/ROW]
[ROW][C]37[/C][C]5229[/C][C]2901.17232683306[/C][C]2327.82767316694[/C][/ROW]
[ROW][C]38[/C][C]2857[/C][C]3693.23589090696[/C][C]-836.235890906958[/C][/ROW]
[ROW][C]39[/C][C]3395[/C][C]3408.6993731083[/C][C]-13.6993731082985[/C][/ROW]
[ROW][C]40[/C][C]4882[/C][C]3404.0380425404[/C][C]1477.9619574596[/C][/ROW]
[ROW][C]41[/C][C]7140[/C][C]3906.92742266297[/C][C]3233.07257733703[/C][/ROW]
[ROW][C]42[/C][C]8945[/C][C]5007.00842008116[/C][C]3937.99157991884[/C][/ROW]
[ROW][C]43[/C][C]6866[/C][C]6346.94422462464[/C][C]519.055775375358[/C][/ROW]
[ROW][C]44[/C][C]4205[/C][C]6523.55745598022[/C][C]-2318.55745598022[/C][/ROW]
[ROW][C]45[/C][C]3217[/C][C]5734.64816374065[/C][C]-2517.64816374065[/C][/ROW]
[ROW][C]46[/C][C]3079[/C][C]4877.99653069964[/C][C]-1798.99653069964[/C][/ROW]
[ROW][C]47[/C][C]2263[/C][C]4265.87235145403[/C][C]-2002.87235145403[/C][/ROW]
[ROW][C]48[/C][C]4187[/C][C]3584.37765519092[/C][C]602.622344809076[/C][/ROW]
[ROW][C]49[/C][C]2665[/C][C]3789.42513689333[/C][C]-1124.42513689333[/C][/ROW]
[ROW][C]50[/C][C]2073[/C][C]3406.82972756461[/C][C]-1333.82972756461[/C][/ROW]
[ROW][C]51[/C][C]3540[/C][C]2952.98258928172[/C][C]587.017410718281[/C][/ROW]
[ROW][C]52[/C][C]3686[/C][C]3152.72035675761[/C][C]533.279643242393[/C][/ROW]
[ROW][C]53[/C][C]2384[/C][C]3334.17338257372[/C][C]-950.173382573722[/C][/ROW]
[ROW][C]54[/C][C]4500[/C][C]3010.86864461363[/C][C]1489.13135538637[/C][/ROW]
[ROW][C]55[/C][C]1679[/C][C]3517.5585092963[/C][C]-1838.5585092963[/C][/ROW]
[ROW][C]56[/C][C]868[/C][C]2891.97302355867[/C][C]-2023.97302355867[/C][/ROW]
[ROW][C]57[/C][C]1869[/C][C]2203.29864052399[/C][C]-334.298640523988[/C][/ROW]
[ROW][C]58[/C][C]3710[/C][C]2089.55062741688[/C][C]1620.44937258312[/C][/ROW]
[ROW][C]59[/C][C]6904[/C][C]2640.92258688127[/C][C]4263.07741311873[/C][/ROW]
[ROW][C]60[/C][C]3415[/C][C]4091.47166690143[/C][C]-676.471666901426[/C][/ROW]
[ROW][C]61[/C][C]938[/C][C]3861.29631257547[/C][C]-2923.29631257547[/C][/ROW]
[ROW][C]62[/C][C]3359[/C][C]2866.61937713354[/C][C]492.380622866458[/C][/ROW]
[ROW][C]63[/C][C]3551[/C][C]3034.1561563909[/C][C]516.843843609103[/C][/ROW]
[ROW][C]64[/C][C]2278[/C][C]3210.01675877034[/C][C]-932.016758770342[/C][/ROW]
[ROW][C]65[/C][C]3033[/C][C]2892.88996960217[/C][C]140.110030397826[/C][/ROW]
[ROW][C]66[/C][C]2280[/C][C]2940.5636231628[/C][C]-660.563623162802[/C][/ROW]
[ROW][C]67[/C][C]2901[/C][C]2715.80111875109[/C][C]185.198881248913[/C][/ROW]
[ROW][C]68[/C][C]4812[/C][C]2778.8166450443[/C][C]2033.1833549557[/C][/ROW]
[ROW][C]69[/C][C]4882[/C][C]3470.62492325375[/C][C]1411.37507674625[/C][/ROW]
[ROW][C]70[/C][C]7896[/C][C]3950.8575394473[/C][C]3945.1424605527[/C][/ROW]
[ROW][C]71[/C][C]5048[/C][C]5293.22649317378[/C][C]-245.22649317378[/C][/ROW]
[ROW][C]72[/C][C]3741[/C][C]5209.78605107081[/C][C]-1468.78605107081[/C][/ROW]
[ROW][C]73[/C][C]4418[/C][C]4710.01885271526[/C][C]-292.018852715257[/C][/ROW]
[ROW][C]74[/C][C]3471[/C][C]4610.65690426667[/C][C]-1139.65690426667[/C][/ROW]
[ROW][C]75[/C][C]5055[/C][C]4222.87875392497[/C][C]832.121246075027[/C][/ROW]
[ROW][C]76[/C][C]7595[/C][C]4506.01522811729[/C][C]3088.98477188271[/C][/ROW]
[ROW][C]77[/C][C]8124[/C][C]5557.06909949721[/C][C]2566.93090050279[/C][/ROW]
[ROW][C]78[/C][C]2333[/C][C]6430.48961134189[/C][C]-4097.48961134189[/C][/ROW]
[ROW][C]79[/C][C]3008[/C][C]5036.28321766161[/C][C]-2028.28321766161[/C][/ROW]
[ROW][C]80[/C][C]2744[/C][C]4346.14225368437[/C][C]-1602.14225368437[/C][/ROW]
[ROW][C]81[/C][C]2833[/C][C]3800.99945027393[/C][C]-967.999450273927[/C][/ROW]
[ROW][C]82[/C][C]2428[/C][C]3471.62923810421[/C][C]-1043.62923810421[/C][/ROW]
[ROW][C]83[/C][C]4269[/C][C]3116.52533439472[/C][C]1152.47466560528[/C][/ROW]
[ROW][C]84[/C][C]3207[/C][C]3508.66483925004[/C][C]-301.664839250041[/C][/ROW]
[ROW][C]85[/C][C]5170[/C][C]3406.02076018593[/C][C]1763.97923981407[/C][/ROW]
[ROW][C]86[/C][C]7767[/C][C]4006.23000236694[/C][C]3760.76999763306[/C][/ROW]
[ROW][C]87[/C][C]4544[/C][C]5285.86462580747[/C][C]-741.864625807471[/C][/ROW]
[ROW][C]88[/C][C]3741[/C][C]5033.43874980695[/C][C]-1292.43874980695[/C][/ROW]
[ROW][C]89[/C][C]2193[/C][C]4593.6752508506[/C][C]-2400.6752508506[/C][/ROW]
[ROW][C]90[/C][C]3432[/C][C]3776.82466638023[/C][C]-344.824666380227[/C][/ROW]
[ROW][C]91[/C][C]5282[/C][C]3659.49508164248[/C][C]1622.50491835752[/C][/ROW]
[ROW][C]92[/C][C]6635[/C][C]4211.56645839234[/C][C]2423.43354160766[/C][/ROW]
[ROW][C]93[/C][C]4222[/C][C]5036.16074876374[/C][C]-814.160748763737[/C][/ROW]
[ROW][C]94[/C][C]7317[/C][C]4759.13548962264[/C][C]2557.86451037736[/C][/ROW]
[ROW][C]95[/C][C]4132[/C][C]5629.47108355917[/C][C]-1497.47108355917[/C][/ROW]
[ROW][C]96[/C][C]5048[/C][C]5119.9435540029[/C][C]-71.9435540028953[/C][/ROW]
[ROW][C]97[/C][C]4383[/C][C]5095.4641355079[/C][C]-712.464135507904[/C][/ROW]
[ROW][C]98[/C][C]3761[/C][C]4853.04203143631[/C][C]-1092.04203143631[/C][/ROW]
[ROW][C]99[/C][C]4081[/C][C]4481.46525472363[/C][C]-400.46525472363[/C][/ROW]
[ROW][C]100[/C][C]6491[/C][C]4345.20347701539[/C][C]2145.79652298461[/C][/ROW]
[ROW][C]101[/C][C]5859[/C][C]5075.3293627775[/C][C]783.670637222495[/C][/ROW]
[ROW][C]102[/C][C]7139[/C][C]5341.98009690769[/C][C]1797.01990309231[/C][/ROW]
[ROW][C]103[/C][C]7682[/C][C]5953.43171145895[/C][C]1728.56828854105[/C][/ROW]
[ROW][C]104[/C][C]8649[/C][C]6541.59207021277[/C][C]2107.40792978723[/C][/ROW]
[ROW][C]105[/C][C]6146[/C][C]7258.6559040463[/C][C]-1112.6559040463[/C][/ROW]
[ROW][C]106[/C][C]7137[/C][C]6880.065078314[/C][C]256.934921686003[/C][/ROW]
[ROW][C]107[/C][C]9948[/C][C]6967.48941481086[/C][C]2980.51058518914[/C][/ROW]
[ROW][C]108[/C][C]15819[/C][C]7981.63400295091[/C][C]7837.36599704909[/C][/ROW]
[ROW][C]109[/C][C]8370[/C][C]10648.3657873226[/C][C]-2278.36578732261[/C][/ROW]
[ROW][C]110[/C][C]13222[/C][C]9873.13205908204[/C][C]3348.86794091796[/C][/ROW]
[ROW][C]111[/C][C]16711[/C][C]11012.613433701[/C][C]5698.38656629901[/C][/ROW]
[ROW][C]112[/C][C]19059[/C][C]12951.5389070945[/C][C]6107.46109290554[/C][/ROW]
[ROW][C]113[/C][C]8303[/C][C]15029.6555376559[/C][C]-6726.65553765593[/C][/ROW]
[ROW][C]114[/C][C]20781[/C][C]12740.8526245929[/C][C]8040.14737540708[/C][/ROW]
[ROW][C]115[/C][C]9638[/C][C]15476.5825324604[/C][C]-5838.58253246039[/C][/ROW]
[ROW][C]116[/C][C]13444[/C][C]13489.9541651171[/C][C]-45.9541651170912[/C][/ROW]
[ROW][C]117[/C][C]6072[/C][C]13474.3178616973[/C][C]-7402.31786169728[/C][/ROW]
[ROW][C]118[/C][C]13442[/C][C]10955.614980239[/C][C]2486.38501976098[/C][/ROW]
[ROW][C]119[/C][C]14457[/C][C]11801.6290572744[/C][C]2655.37094272556[/C][/ROW]
[ROW][C]120[/C][C]17705[/C][C]12705.142060869[/C][C]4999.85793913105[/C][/ROW]
[ROW][C]121[/C][C]16463[/C][C]14406.3871078202[/C][C]2056.61289217979[/C][/ROW]
[ROW][C]122[/C][C]19194[/C][C]15106.1674893654[/C][C]4087.83251063458[/C][/ROW]
[ROW][C]123[/C][C]20688[/C][C]16497.0879707365[/C][C]4190.91202926346[/C][/ROW]
[ROW][C]124[/C][C]14739[/C][C]17923.0821527296[/C][C]-3184.08215272964[/C][/ROW]
[ROW][C]125[/C][C]12702[/C][C]16839.6705723681[/C][C]-4137.6705723681[/C][/ROW]
[ROW][C]126[/C][C]15760[/C][C]15431.7922580533[/C][C]328.20774194668[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301546&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301546&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
218853647-1762
347913047.464211339361743.53578866064
431783640.71739188006-462.717391880058
528493483.27378435009-634.273784350089
647163267.456625708151448.54337429185
730853760.33607764641-675.336077646408
827993530.54711741785-731.547117417847
935733281.63186317067291.368136829331
1027213380.77239989289-659.772399892891
1133553156.27911606411198.720883935888
1256673223.895621100352443.10437889965
1328564055.18308454182-1199.18308454182
1419443647.15063486005-1703.15063486005
1541883067.638853317091120.36114668291
1629493448.85145471396-499.851454713957
1735673278.77266009699288.227339903014
1841373376.84451341271760.155486587286
1934943635.49401350115-141.49401350115
2024893587.34944768096-1098.34944768096
2132443213.6265178623530.3734821376456
2226693223.96135870672-554.961358706715
2325293035.13094107425-506.130941074245
2433772862.91549673684514.084503263156
2533663037.83720962112328.162790378882
2620733149.49744647633-1076.49744647633
2741332783.209849674771349.79015032523
2842133242.48766028862970.512339711382
2937103572.71290489347137.28709510653
3051233619.426030226971503.57396977303
3131414131.03011977151-990.030119771513
3230843794.16378114779-710.163781147787
3338043552.52439260712251.475607392884
3432033638.09115004594-435.09115004594
3527573490.04761100958-733.047611009584
3622433240.62180079822-997.621800798216
3752292901.172326833062327.82767316694
3828573693.23589090696-836.235890906958
3933953408.6993731083-13.6993731082985
4048823404.03804254041477.9619574596
4171403906.927422662973233.07257733703
4289455007.008420081163937.99157991884
4368666346.94422462464519.055775375358
4442056523.55745598022-2318.55745598022
4532175734.64816374065-2517.64816374065
4630794877.99653069964-1798.99653069964
4722634265.87235145403-2002.87235145403
4841873584.37765519092602.622344809076
4926653789.42513689333-1124.42513689333
5020733406.82972756461-1333.82972756461
5135402952.98258928172587.017410718281
5236863152.72035675761533.279643242393
5323843334.17338257372-950.173382573722
5445003010.868644613631489.13135538637
5516793517.5585092963-1838.5585092963
568682891.97302355867-2023.97302355867
5718692203.29864052399-334.298640523988
5837102089.550627416881620.44937258312
5969042640.922586881274263.07741311873
6034154091.47166690143-676.471666901426
619383861.29631257547-2923.29631257547
6233592866.61937713354492.380622866458
6335513034.1561563909516.843843609103
6422783210.01675877034-932.016758770342
6530332892.88996960217140.110030397826
6622802940.5636231628-660.563623162802
6729012715.80111875109185.198881248913
6848122778.81664504432033.1833549557
6948823470.624923253751411.37507674625
7078963950.85753944733945.1424605527
7150485293.22649317378-245.22649317378
7237415209.78605107081-1468.78605107081
7344184710.01885271526-292.018852715257
7434714610.65690426667-1139.65690426667
7550554222.87875392497832.121246075027
7675954506.015228117293088.98477188271
7781245557.069099497212566.93090050279
7823336430.48961134189-4097.48961134189
7930085036.28321766161-2028.28321766161
8027444346.14225368437-1602.14225368437
8128333800.99945027393-967.999450273927
8224283471.62923810421-1043.62923810421
8342693116.525334394721152.47466560528
8432073508.66483925004-301.664839250041
8551703406.020760185931763.97923981407
8677674006.230002366943760.76999763306
8745445285.86462580747-741.864625807471
8837415033.43874980695-1292.43874980695
8921934593.6752508506-2400.6752508506
9034323776.82466638023-344.824666380227
9152823659.495081642481622.50491835752
9266354211.566458392342423.43354160766
9342225036.16074876374-814.160748763737
9473174759.135489622642557.86451037736
9541325629.47108355917-1497.47108355917
9650485119.9435540029-71.9435540028953
9743835095.4641355079-712.464135507904
9837614853.04203143631-1092.04203143631
9940814481.46525472363-400.46525472363
10064914345.203477015392145.79652298461
10158595075.3293627775783.670637222495
10271395341.980096907691797.01990309231
10376825953.431711458951728.56828854105
10486496541.592070212772107.40792978723
10561467258.6559040463-1112.6559040463
10671376880.065078314256.934921686003
10799486967.489414810862980.51058518914
108158197981.634002950917837.36599704909
109837010648.3657873226-2278.36578732261
110132229873.132059082043348.86794091796
1111671111012.6134337015698.38656629901
1121905912951.53890709456107.46109290554
113830315029.6555376559-6726.65553765593
1142078112740.85262459298040.14737540708
115963815476.5825324604-5838.58253246039
1161344413489.9541651171-45.9541651170912
117607213474.3178616973-7402.31786169728
1181344210955.6149802392486.38501976098
1191445711801.62905727442655.37094272556
1201770512705.1420608694999.85793913105
1211646314406.38710782022056.61289217979
1221919415106.16748936544087.83251063458
1232068816497.08797073654190.91202926346
1241473917923.0821527296-3184.08215272964
1251270216839.6705723681-4137.6705723681
1261576015431.7922580533328.20774194668







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12715543.467790069510835.721216956520251.2143631826
12815543.467790069510570.661096731220516.2744834078
12915543.467790069510319.031454735120767.904125404
13015543.467790069510078.976630353421007.9589497856
13115543.46779006959849.032590045921237.9029900931
13215543.46779006959628.0201434479521458.9154366911
13315543.46779006959414.9729118328421671.9626683062
13415543.46779006959209.0871506363521877.8484295027
13515543.46779006959009.6858302947422077.2497498443
13615543.46779006958816.1923155158822270.7432646232
13715543.46779006958628.1106826466822458.8248974923
13815543.46779006958445.0107368898622641.9248432492

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 15543.4677900695 & 10835.7212169565 & 20251.2143631826 \tabularnewline
128 & 15543.4677900695 & 10570.6610967312 & 20516.2744834078 \tabularnewline
129 & 15543.4677900695 & 10319.0314547351 & 20767.904125404 \tabularnewline
130 & 15543.4677900695 & 10078.9766303534 & 21007.9589497856 \tabularnewline
131 & 15543.4677900695 & 9849.0325900459 & 21237.9029900931 \tabularnewline
132 & 15543.4677900695 & 9628.02014344795 & 21458.9154366911 \tabularnewline
133 & 15543.4677900695 & 9414.97291183284 & 21671.9626683062 \tabularnewline
134 & 15543.4677900695 & 9209.08715063635 & 21877.8484295027 \tabularnewline
135 & 15543.4677900695 & 9009.68583029474 & 22077.2497498443 \tabularnewline
136 & 15543.4677900695 & 8816.19231551588 & 22270.7432646232 \tabularnewline
137 & 15543.4677900695 & 8628.11068264668 & 22458.8248974923 \tabularnewline
138 & 15543.4677900695 & 8445.01073688986 & 22641.9248432492 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301546&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]127[/C][C]15543.4677900695[/C][C]10835.7212169565[/C][C]20251.2143631826[/C][/ROW]
[ROW][C]128[/C][C]15543.4677900695[/C][C]10570.6610967312[/C][C]20516.2744834078[/C][/ROW]
[ROW][C]129[/C][C]15543.4677900695[/C][C]10319.0314547351[/C][C]20767.904125404[/C][/ROW]
[ROW][C]130[/C][C]15543.4677900695[/C][C]10078.9766303534[/C][C]21007.9589497856[/C][/ROW]
[ROW][C]131[/C][C]15543.4677900695[/C][C]9849.0325900459[/C][C]21237.9029900931[/C][/ROW]
[ROW][C]132[/C][C]15543.4677900695[/C][C]9628.02014344795[/C][C]21458.9154366911[/C][/ROW]
[ROW][C]133[/C][C]15543.4677900695[/C][C]9414.97291183284[/C][C]21671.9626683062[/C][/ROW]
[ROW][C]134[/C][C]15543.4677900695[/C][C]9209.08715063635[/C][C]21877.8484295027[/C][/ROW]
[ROW][C]135[/C][C]15543.4677900695[/C][C]9009.68583029474[/C][C]22077.2497498443[/C][/ROW]
[ROW][C]136[/C][C]15543.4677900695[/C][C]8816.19231551588[/C][C]22270.7432646232[/C][/ROW]
[ROW][C]137[/C][C]15543.4677900695[/C][C]8628.11068264668[/C][C]22458.8248974923[/C][/ROW]
[ROW][C]138[/C][C]15543.4677900695[/C][C]8445.01073688986[/C][C]22641.9248432492[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301546&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301546&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
12715543.467790069510835.721216956520251.2143631826
12815543.467790069510570.661096731220516.2744834078
12915543.467790069510319.031454735120767.904125404
13015543.467790069510078.976630353421007.9589497856
13115543.46779006959849.032590045921237.9029900931
13215543.46779006959628.0201434479521458.9154366911
13315543.46779006959414.9729118328421671.9626683062
13415543.46779006959209.0871506363521877.8484295027
13515543.46779006959009.6858302947422077.2497498443
13615543.46779006958816.1923155158822270.7432646232
13715543.46779006958628.1106826466822458.8248974923
13815543.46779006958445.0107368898622641.9248432492



Parameters (Session):
par1 = 4 ; par2 = Single ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 4 ; par2 = Single ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')