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 computationFri, 16 Dec 2016 09:20:29 +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/16/t148187648333ixeytnkurqr33.htm/, Retrieved Fri, 03 May 2024 01:46:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300102, Retrieved Fri, 03 May 2024 01:46:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [exponentia smooth...] [2016-12-16 08:20:29] [9b0b4f5f4290a2ed9efd388f9ce31ae7] [Current]
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Dataseries X:
2312
1089
2742
3145
2966
2055
2450
2742
1697
2409
2233
2100
3434
1867
2365
3578
2845
2778
2056
2757
3325
3671
2147
3225
3556
4661
3344
5375
3907
3356
2184
3510
2834
3271
2834
2408
3261
1526
2938
2352
3915
3145
1566
2746
3572
2651
2805
3354
2523
1480
3278
5081
3332
2789
4111
2508
1833
2371
4268
2194
2935
3347
3034
5448
3427
3036
4196
3009
3369
4168
3403
1779
2761
2582
3153
3011
3419
4042
4379
4602
3249
4372
4328
3695
3614
2114
2839
2490
2610
2372
2833
4018
2734
3027
3862
3281
2746
2538
1805
2500
2601
3178
4193
2606
2491
4090
2786
2280
2403
2934
1601
1946
2554
2006
2830
3173
1960
3052
2151
2493
2752
2542
2027
1940
1877




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300102&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300102&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300102&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.524626226642255
beta0.209154099756788
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.524626226642255 \tabularnewline
beta & 0.209154099756788 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300102&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]0.524626226642255[/C][/ROW]
[ROW][C]beta[/C][C]0.209154099756788[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300102&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300102&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
alpha0.524626226642255
beta0.209154099756788
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
32742-1342876
43145467.4019682079832677.59803179202
529661258.523804027881707.47619597212
620551728.05176216422326.948237835783
724501509.19383355326940.806166446743
827421715.614395108621026.38560489138
916972079.55513310314-382.555133103136
1024091662.35170328161746.648296718386
1122331919.48602778568313.513972214323
1221001983.78790128081116.212098719194
1334341957.33172671741476.6682732826
1418672806.63799342093-939.637993420928
1523652285.1822805968979.8177194031146
1635782307.317988476571270.68201152343
1728453093.64138414855-248.641384148547
1827783055.60502599238-277.605025992378
1920562971.91261343808-915.912613438083
2027572452.84629142754304.15370857246
2133252607.23285502605717.767144973955
2236713057.37083176995613.629168230053
2321473520.20742804893-1373.20742804893
2432252790.01850926599434.981490734013
2535563056.18244989265499.817550107347
2646613411.204930957931249.79506904207
2733444296.82245891812-952.822458918122
2853753922.33802261421452.6619773858
2939074969.23110500679-1062.23110500679
3033564580.18911538518-1224.18911538518
3121843971.85221790507-1787.85221790507
3235102871.62591530354638.374084696465
3328343114.30889955786-280.308899557862
3432712844.2690381365426.7309618635
3528342991.98504941803-157.985049418029
3624082815.60836580652-407.608365806522
3732612463.54680449972797.453195500278
3815262831.19486881998-1305.19486881998
3929381952.52254807122985.477451928776
4023522383.73120339526-31.7312033952626
4139152277.803727372491637.19627262751
4231453227.08519987897-82.0851998789694
4315663265.37949859579-1699.37949859579
4427462268.72974377325477.270256226752
4535722466.37731651611105.6226834839
4626513114.99251520225-463.992515202249
4728052889.23357128123-84.2335712812264
4833542853.46337090162500.536629098384
4925233179.40170036182-656.401700361824
5014802826.35437356298-1346.35437356298
5132781963.607375268251314.39262473175
5250812640.983348708442440.01665129156
5333324176.6286867158-844.628686715796
5427893896.38374995851-1107.38374995851
5541113356.77991499133754.22008500867
5625083876.58113040448-1368.58113040448
5718333132.53385878348-1299.53385878348
5823712282.1157013638988.8842986361078
5942682169.851194852022098.14880514798
6021943341.92464221446-1147.92464221446
6129352685.06366471078249.93633528922
6233472788.9821629569558.017837043099
6330343115.75832537195-81.7583253719458
6454483097.919978667272350.08002133273
6534274613.75674459117-1186.75674459117
6630364143.85606469095-1107.85606469095
6741963593.78622389496602.213776105045
6830094006.94341927397-997.943419273975
6933693471.11412099138-102.114120991378
7041683394.05561687897773.94438312103
7134033861.52353741728-458.523537417282
7217793632.09371820249-1853.09371820249
7327612467.70004722787293.299952772131
7425822461.54392564077120.456074359231
7531532377.92674346315775.073256536854
7630112722.78592949994288.214070500055
7734192843.85109245829575.148907541715
7840423178.5595780837863.440421916297
7943793759.25670722454619.743292775457
8046024280.10695336878321.893046631219
8132494680.01774084172-1431.01774084172
8243724003.28323347057368.716766529432
8343284311.1951020411716.804897958833
8436954436.32873813402-741.328738134021
8536144082.38126867362-468.381268673625
8621143820.23478860865-1706.23478860865
8728392721.45662362565117.543376374349
8824902592.37808298285-102.378082982848
8926102336.68926270732273.31073729268
9023722308.0864163379963.9135836620144
9128332176.6414235946656.358576405404
9240182428.029346010141589.97065398986
9327343343.67851433153-609.678514331528
9430273038.43540248436-11.4354024843606
9538623045.79153630816816.208463691836
9632813576.91204742649-295.912047426486
9727463492.11521512317-746.115215123166
9825383089.26046773321-551.260467733212
9918052728.14307357335-923.143073573349
10025002070.6319207906429.368079209404
10126012169.7971735935431.202826406499
10231782317.23988854292860.760111457081
10341932784.488870859171408.51112914083
10426063693.65512616886-1087.65512616886
10524913173.92117406232-682.921174062321
10640902791.585880479251298.41411952075
10727863591.18307460768-805.183074607678
10822803198.82710250042-918.827102500419
10924032646.0296841842-243.029684184202
11029342421.10622078322512.89377921678
11116012649.03869976256-1048.03869976256
11219461943.066158817692.93384118231006
11325541788.78330005515765.216699944851
11420062118.37950961023-112.379509610228
11528301975.23458317638854.765416823621
11631732433.27071568673739.729284313266
11719602912.12468839913-952.124688399127
11830522398.91321831586653.086781684143
11921512799.49951227294-648.499512272944
12024932446.0811232960446.9188767039636
12127522462.64576131959289.35423868041
12225422638.14853116149-96.1485311614938
12320272600.85627780484-573.856277804842
12419402249.97806739299-309.978067392986
12518772003.52409831364-126.524098313639

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2742 & -134 & 2876 \tabularnewline
4 & 3145 & 467.401968207983 & 2677.59803179202 \tabularnewline
5 & 2966 & 1258.52380402788 & 1707.47619597212 \tabularnewline
6 & 2055 & 1728.05176216422 & 326.948237835783 \tabularnewline
7 & 2450 & 1509.19383355326 & 940.806166446743 \tabularnewline
8 & 2742 & 1715.61439510862 & 1026.38560489138 \tabularnewline
9 & 1697 & 2079.55513310314 & -382.555133103136 \tabularnewline
10 & 2409 & 1662.35170328161 & 746.648296718386 \tabularnewline
11 & 2233 & 1919.48602778568 & 313.513972214323 \tabularnewline
12 & 2100 & 1983.78790128081 & 116.212098719194 \tabularnewline
13 & 3434 & 1957.3317267174 & 1476.6682732826 \tabularnewline
14 & 1867 & 2806.63799342093 & -939.637993420928 \tabularnewline
15 & 2365 & 2285.18228059689 & 79.8177194031146 \tabularnewline
16 & 3578 & 2307.31798847657 & 1270.68201152343 \tabularnewline
17 & 2845 & 3093.64138414855 & -248.641384148547 \tabularnewline
18 & 2778 & 3055.60502599238 & -277.605025992378 \tabularnewline
19 & 2056 & 2971.91261343808 & -915.912613438083 \tabularnewline
20 & 2757 & 2452.84629142754 & 304.15370857246 \tabularnewline
21 & 3325 & 2607.23285502605 & 717.767144973955 \tabularnewline
22 & 3671 & 3057.37083176995 & 613.629168230053 \tabularnewline
23 & 2147 & 3520.20742804893 & -1373.20742804893 \tabularnewline
24 & 3225 & 2790.01850926599 & 434.981490734013 \tabularnewline
25 & 3556 & 3056.18244989265 & 499.817550107347 \tabularnewline
26 & 4661 & 3411.20493095793 & 1249.79506904207 \tabularnewline
27 & 3344 & 4296.82245891812 & -952.822458918122 \tabularnewline
28 & 5375 & 3922.3380226142 & 1452.6619773858 \tabularnewline
29 & 3907 & 4969.23110500679 & -1062.23110500679 \tabularnewline
30 & 3356 & 4580.18911538518 & -1224.18911538518 \tabularnewline
31 & 2184 & 3971.85221790507 & -1787.85221790507 \tabularnewline
32 & 3510 & 2871.62591530354 & 638.374084696465 \tabularnewline
33 & 2834 & 3114.30889955786 & -280.308899557862 \tabularnewline
34 & 3271 & 2844.2690381365 & 426.7309618635 \tabularnewline
35 & 2834 & 2991.98504941803 & -157.985049418029 \tabularnewline
36 & 2408 & 2815.60836580652 & -407.608365806522 \tabularnewline
37 & 3261 & 2463.54680449972 & 797.453195500278 \tabularnewline
38 & 1526 & 2831.19486881998 & -1305.19486881998 \tabularnewline
39 & 2938 & 1952.52254807122 & 985.477451928776 \tabularnewline
40 & 2352 & 2383.73120339526 & -31.7312033952626 \tabularnewline
41 & 3915 & 2277.80372737249 & 1637.19627262751 \tabularnewline
42 & 3145 & 3227.08519987897 & -82.0851998789694 \tabularnewline
43 & 1566 & 3265.37949859579 & -1699.37949859579 \tabularnewline
44 & 2746 & 2268.72974377325 & 477.270256226752 \tabularnewline
45 & 3572 & 2466.3773165161 & 1105.6226834839 \tabularnewline
46 & 2651 & 3114.99251520225 & -463.992515202249 \tabularnewline
47 & 2805 & 2889.23357128123 & -84.2335712812264 \tabularnewline
48 & 3354 & 2853.46337090162 & 500.536629098384 \tabularnewline
49 & 2523 & 3179.40170036182 & -656.401700361824 \tabularnewline
50 & 1480 & 2826.35437356298 & -1346.35437356298 \tabularnewline
51 & 3278 & 1963.60737526825 & 1314.39262473175 \tabularnewline
52 & 5081 & 2640.98334870844 & 2440.01665129156 \tabularnewline
53 & 3332 & 4176.6286867158 & -844.628686715796 \tabularnewline
54 & 2789 & 3896.38374995851 & -1107.38374995851 \tabularnewline
55 & 4111 & 3356.77991499133 & 754.22008500867 \tabularnewline
56 & 2508 & 3876.58113040448 & -1368.58113040448 \tabularnewline
57 & 1833 & 3132.53385878348 & -1299.53385878348 \tabularnewline
58 & 2371 & 2282.11570136389 & 88.8842986361078 \tabularnewline
59 & 4268 & 2169.85119485202 & 2098.14880514798 \tabularnewline
60 & 2194 & 3341.92464221446 & -1147.92464221446 \tabularnewline
61 & 2935 & 2685.06366471078 & 249.93633528922 \tabularnewline
62 & 3347 & 2788.9821629569 & 558.017837043099 \tabularnewline
63 & 3034 & 3115.75832537195 & -81.7583253719458 \tabularnewline
64 & 5448 & 3097.91997866727 & 2350.08002133273 \tabularnewline
65 & 3427 & 4613.75674459117 & -1186.75674459117 \tabularnewline
66 & 3036 & 4143.85606469095 & -1107.85606469095 \tabularnewline
67 & 4196 & 3593.78622389496 & 602.213776105045 \tabularnewline
68 & 3009 & 4006.94341927397 & -997.943419273975 \tabularnewline
69 & 3369 & 3471.11412099138 & -102.114120991378 \tabularnewline
70 & 4168 & 3394.05561687897 & 773.94438312103 \tabularnewline
71 & 3403 & 3861.52353741728 & -458.523537417282 \tabularnewline
72 & 1779 & 3632.09371820249 & -1853.09371820249 \tabularnewline
73 & 2761 & 2467.70004722787 & 293.299952772131 \tabularnewline
74 & 2582 & 2461.54392564077 & 120.456074359231 \tabularnewline
75 & 3153 & 2377.92674346315 & 775.073256536854 \tabularnewline
76 & 3011 & 2722.78592949994 & 288.214070500055 \tabularnewline
77 & 3419 & 2843.85109245829 & 575.148907541715 \tabularnewline
78 & 4042 & 3178.5595780837 & 863.440421916297 \tabularnewline
79 & 4379 & 3759.25670722454 & 619.743292775457 \tabularnewline
80 & 4602 & 4280.10695336878 & 321.893046631219 \tabularnewline
81 & 3249 & 4680.01774084172 & -1431.01774084172 \tabularnewline
82 & 4372 & 4003.28323347057 & 368.716766529432 \tabularnewline
83 & 4328 & 4311.19510204117 & 16.804897958833 \tabularnewline
84 & 3695 & 4436.32873813402 & -741.328738134021 \tabularnewline
85 & 3614 & 4082.38126867362 & -468.381268673625 \tabularnewline
86 & 2114 & 3820.23478860865 & -1706.23478860865 \tabularnewline
87 & 2839 & 2721.45662362565 & 117.543376374349 \tabularnewline
88 & 2490 & 2592.37808298285 & -102.378082982848 \tabularnewline
89 & 2610 & 2336.68926270732 & 273.31073729268 \tabularnewline
90 & 2372 & 2308.08641633799 & 63.9135836620144 \tabularnewline
91 & 2833 & 2176.6414235946 & 656.358576405404 \tabularnewline
92 & 4018 & 2428.02934601014 & 1589.97065398986 \tabularnewline
93 & 2734 & 3343.67851433153 & -609.678514331528 \tabularnewline
94 & 3027 & 3038.43540248436 & -11.4354024843606 \tabularnewline
95 & 3862 & 3045.79153630816 & 816.208463691836 \tabularnewline
96 & 3281 & 3576.91204742649 & -295.912047426486 \tabularnewline
97 & 2746 & 3492.11521512317 & -746.115215123166 \tabularnewline
98 & 2538 & 3089.26046773321 & -551.260467733212 \tabularnewline
99 & 1805 & 2728.14307357335 & -923.143073573349 \tabularnewline
100 & 2500 & 2070.6319207906 & 429.368079209404 \tabularnewline
101 & 2601 & 2169.7971735935 & 431.202826406499 \tabularnewline
102 & 3178 & 2317.23988854292 & 860.760111457081 \tabularnewline
103 & 4193 & 2784.48887085917 & 1408.51112914083 \tabularnewline
104 & 2606 & 3693.65512616886 & -1087.65512616886 \tabularnewline
105 & 2491 & 3173.92117406232 & -682.921174062321 \tabularnewline
106 & 4090 & 2791.58588047925 & 1298.41411952075 \tabularnewline
107 & 2786 & 3591.18307460768 & -805.183074607678 \tabularnewline
108 & 2280 & 3198.82710250042 & -918.827102500419 \tabularnewline
109 & 2403 & 2646.0296841842 & -243.029684184202 \tabularnewline
110 & 2934 & 2421.10622078322 & 512.89377921678 \tabularnewline
111 & 1601 & 2649.03869976256 & -1048.03869976256 \tabularnewline
112 & 1946 & 1943.06615881769 & 2.93384118231006 \tabularnewline
113 & 2554 & 1788.78330005515 & 765.216699944851 \tabularnewline
114 & 2006 & 2118.37950961023 & -112.379509610228 \tabularnewline
115 & 2830 & 1975.23458317638 & 854.765416823621 \tabularnewline
116 & 3173 & 2433.27071568673 & 739.729284313266 \tabularnewline
117 & 1960 & 2912.12468839913 & -952.124688399127 \tabularnewline
118 & 3052 & 2398.91321831586 & 653.086781684143 \tabularnewline
119 & 2151 & 2799.49951227294 & -648.499512272944 \tabularnewline
120 & 2493 & 2446.08112329604 & 46.9188767039636 \tabularnewline
121 & 2752 & 2462.64576131959 & 289.35423868041 \tabularnewline
122 & 2542 & 2638.14853116149 & -96.1485311614938 \tabularnewline
123 & 2027 & 2600.85627780484 & -573.856277804842 \tabularnewline
124 & 1940 & 2249.97806739299 & -309.978067392986 \tabularnewline
125 & 1877 & 2003.52409831364 & -126.524098313639 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300102&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]2742[/C][C]-134[/C][C]2876[/C][/ROW]
[ROW][C]4[/C][C]3145[/C][C]467.401968207983[/C][C]2677.59803179202[/C][/ROW]
[ROW][C]5[/C][C]2966[/C][C]1258.52380402788[/C][C]1707.47619597212[/C][/ROW]
[ROW][C]6[/C][C]2055[/C][C]1728.05176216422[/C][C]326.948237835783[/C][/ROW]
[ROW][C]7[/C][C]2450[/C][C]1509.19383355326[/C][C]940.806166446743[/C][/ROW]
[ROW][C]8[/C][C]2742[/C][C]1715.61439510862[/C][C]1026.38560489138[/C][/ROW]
[ROW][C]9[/C][C]1697[/C][C]2079.55513310314[/C][C]-382.555133103136[/C][/ROW]
[ROW][C]10[/C][C]2409[/C][C]1662.35170328161[/C][C]746.648296718386[/C][/ROW]
[ROW][C]11[/C][C]2233[/C][C]1919.48602778568[/C][C]313.513972214323[/C][/ROW]
[ROW][C]12[/C][C]2100[/C][C]1983.78790128081[/C][C]116.212098719194[/C][/ROW]
[ROW][C]13[/C][C]3434[/C][C]1957.3317267174[/C][C]1476.6682732826[/C][/ROW]
[ROW][C]14[/C][C]1867[/C][C]2806.63799342093[/C][C]-939.637993420928[/C][/ROW]
[ROW][C]15[/C][C]2365[/C][C]2285.18228059689[/C][C]79.8177194031146[/C][/ROW]
[ROW][C]16[/C][C]3578[/C][C]2307.31798847657[/C][C]1270.68201152343[/C][/ROW]
[ROW][C]17[/C][C]2845[/C][C]3093.64138414855[/C][C]-248.641384148547[/C][/ROW]
[ROW][C]18[/C][C]2778[/C][C]3055.60502599238[/C][C]-277.605025992378[/C][/ROW]
[ROW][C]19[/C][C]2056[/C][C]2971.91261343808[/C][C]-915.912613438083[/C][/ROW]
[ROW][C]20[/C][C]2757[/C][C]2452.84629142754[/C][C]304.15370857246[/C][/ROW]
[ROW][C]21[/C][C]3325[/C][C]2607.23285502605[/C][C]717.767144973955[/C][/ROW]
[ROW][C]22[/C][C]3671[/C][C]3057.37083176995[/C][C]613.629168230053[/C][/ROW]
[ROW][C]23[/C][C]2147[/C][C]3520.20742804893[/C][C]-1373.20742804893[/C][/ROW]
[ROW][C]24[/C][C]3225[/C][C]2790.01850926599[/C][C]434.981490734013[/C][/ROW]
[ROW][C]25[/C][C]3556[/C][C]3056.18244989265[/C][C]499.817550107347[/C][/ROW]
[ROW][C]26[/C][C]4661[/C][C]3411.20493095793[/C][C]1249.79506904207[/C][/ROW]
[ROW][C]27[/C][C]3344[/C][C]4296.82245891812[/C][C]-952.822458918122[/C][/ROW]
[ROW][C]28[/C][C]5375[/C][C]3922.3380226142[/C][C]1452.6619773858[/C][/ROW]
[ROW][C]29[/C][C]3907[/C][C]4969.23110500679[/C][C]-1062.23110500679[/C][/ROW]
[ROW][C]30[/C][C]3356[/C][C]4580.18911538518[/C][C]-1224.18911538518[/C][/ROW]
[ROW][C]31[/C][C]2184[/C][C]3971.85221790507[/C][C]-1787.85221790507[/C][/ROW]
[ROW][C]32[/C][C]3510[/C][C]2871.62591530354[/C][C]638.374084696465[/C][/ROW]
[ROW][C]33[/C][C]2834[/C][C]3114.30889955786[/C][C]-280.308899557862[/C][/ROW]
[ROW][C]34[/C][C]3271[/C][C]2844.2690381365[/C][C]426.7309618635[/C][/ROW]
[ROW][C]35[/C][C]2834[/C][C]2991.98504941803[/C][C]-157.985049418029[/C][/ROW]
[ROW][C]36[/C][C]2408[/C][C]2815.60836580652[/C][C]-407.608365806522[/C][/ROW]
[ROW][C]37[/C][C]3261[/C][C]2463.54680449972[/C][C]797.453195500278[/C][/ROW]
[ROW][C]38[/C][C]1526[/C][C]2831.19486881998[/C][C]-1305.19486881998[/C][/ROW]
[ROW][C]39[/C][C]2938[/C][C]1952.52254807122[/C][C]985.477451928776[/C][/ROW]
[ROW][C]40[/C][C]2352[/C][C]2383.73120339526[/C][C]-31.7312033952626[/C][/ROW]
[ROW][C]41[/C][C]3915[/C][C]2277.80372737249[/C][C]1637.19627262751[/C][/ROW]
[ROW][C]42[/C][C]3145[/C][C]3227.08519987897[/C][C]-82.0851998789694[/C][/ROW]
[ROW][C]43[/C][C]1566[/C][C]3265.37949859579[/C][C]-1699.37949859579[/C][/ROW]
[ROW][C]44[/C][C]2746[/C][C]2268.72974377325[/C][C]477.270256226752[/C][/ROW]
[ROW][C]45[/C][C]3572[/C][C]2466.3773165161[/C][C]1105.6226834839[/C][/ROW]
[ROW][C]46[/C][C]2651[/C][C]3114.99251520225[/C][C]-463.992515202249[/C][/ROW]
[ROW][C]47[/C][C]2805[/C][C]2889.23357128123[/C][C]-84.2335712812264[/C][/ROW]
[ROW][C]48[/C][C]3354[/C][C]2853.46337090162[/C][C]500.536629098384[/C][/ROW]
[ROW][C]49[/C][C]2523[/C][C]3179.40170036182[/C][C]-656.401700361824[/C][/ROW]
[ROW][C]50[/C][C]1480[/C][C]2826.35437356298[/C][C]-1346.35437356298[/C][/ROW]
[ROW][C]51[/C][C]3278[/C][C]1963.60737526825[/C][C]1314.39262473175[/C][/ROW]
[ROW][C]52[/C][C]5081[/C][C]2640.98334870844[/C][C]2440.01665129156[/C][/ROW]
[ROW][C]53[/C][C]3332[/C][C]4176.6286867158[/C][C]-844.628686715796[/C][/ROW]
[ROW][C]54[/C][C]2789[/C][C]3896.38374995851[/C][C]-1107.38374995851[/C][/ROW]
[ROW][C]55[/C][C]4111[/C][C]3356.77991499133[/C][C]754.22008500867[/C][/ROW]
[ROW][C]56[/C][C]2508[/C][C]3876.58113040448[/C][C]-1368.58113040448[/C][/ROW]
[ROW][C]57[/C][C]1833[/C][C]3132.53385878348[/C][C]-1299.53385878348[/C][/ROW]
[ROW][C]58[/C][C]2371[/C][C]2282.11570136389[/C][C]88.8842986361078[/C][/ROW]
[ROW][C]59[/C][C]4268[/C][C]2169.85119485202[/C][C]2098.14880514798[/C][/ROW]
[ROW][C]60[/C][C]2194[/C][C]3341.92464221446[/C][C]-1147.92464221446[/C][/ROW]
[ROW][C]61[/C][C]2935[/C][C]2685.06366471078[/C][C]249.93633528922[/C][/ROW]
[ROW][C]62[/C][C]3347[/C][C]2788.9821629569[/C][C]558.017837043099[/C][/ROW]
[ROW][C]63[/C][C]3034[/C][C]3115.75832537195[/C][C]-81.7583253719458[/C][/ROW]
[ROW][C]64[/C][C]5448[/C][C]3097.91997866727[/C][C]2350.08002133273[/C][/ROW]
[ROW][C]65[/C][C]3427[/C][C]4613.75674459117[/C][C]-1186.75674459117[/C][/ROW]
[ROW][C]66[/C][C]3036[/C][C]4143.85606469095[/C][C]-1107.85606469095[/C][/ROW]
[ROW][C]67[/C][C]4196[/C][C]3593.78622389496[/C][C]602.213776105045[/C][/ROW]
[ROW][C]68[/C][C]3009[/C][C]4006.94341927397[/C][C]-997.943419273975[/C][/ROW]
[ROW][C]69[/C][C]3369[/C][C]3471.11412099138[/C][C]-102.114120991378[/C][/ROW]
[ROW][C]70[/C][C]4168[/C][C]3394.05561687897[/C][C]773.94438312103[/C][/ROW]
[ROW][C]71[/C][C]3403[/C][C]3861.52353741728[/C][C]-458.523537417282[/C][/ROW]
[ROW][C]72[/C][C]1779[/C][C]3632.09371820249[/C][C]-1853.09371820249[/C][/ROW]
[ROW][C]73[/C][C]2761[/C][C]2467.70004722787[/C][C]293.299952772131[/C][/ROW]
[ROW][C]74[/C][C]2582[/C][C]2461.54392564077[/C][C]120.456074359231[/C][/ROW]
[ROW][C]75[/C][C]3153[/C][C]2377.92674346315[/C][C]775.073256536854[/C][/ROW]
[ROW][C]76[/C][C]3011[/C][C]2722.78592949994[/C][C]288.214070500055[/C][/ROW]
[ROW][C]77[/C][C]3419[/C][C]2843.85109245829[/C][C]575.148907541715[/C][/ROW]
[ROW][C]78[/C][C]4042[/C][C]3178.5595780837[/C][C]863.440421916297[/C][/ROW]
[ROW][C]79[/C][C]4379[/C][C]3759.25670722454[/C][C]619.743292775457[/C][/ROW]
[ROW][C]80[/C][C]4602[/C][C]4280.10695336878[/C][C]321.893046631219[/C][/ROW]
[ROW][C]81[/C][C]3249[/C][C]4680.01774084172[/C][C]-1431.01774084172[/C][/ROW]
[ROW][C]82[/C][C]4372[/C][C]4003.28323347057[/C][C]368.716766529432[/C][/ROW]
[ROW][C]83[/C][C]4328[/C][C]4311.19510204117[/C][C]16.804897958833[/C][/ROW]
[ROW][C]84[/C][C]3695[/C][C]4436.32873813402[/C][C]-741.328738134021[/C][/ROW]
[ROW][C]85[/C][C]3614[/C][C]4082.38126867362[/C][C]-468.381268673625[/C][/ROW]
[ROW][C]86[/C][C]2114[/C][C]3820.23478860865[/C][C]-1706.23478860865[/C][/ROW]
[ROW][C]87[/C][C]2839[/C][C]2721.45662362565[/C][C]117.543376374349[/C][/ROW]
[ROW][C]88[/C][C]2490[/C][C]2592.37808298285[/C][C]-102.378082982848[/C][/ROW]
[ROW][C]89[/C][C]2610[/C][C]2336.68926270732[/C][C]273.31073729268[/C][/ROW]
[ROW][C]90[/C][C]2372[/C][C]2308.08641633799[/C][C]63.9135836620144[/C][/ROW]
[ROW][C]91[/C][C]2833[/C][C]2176.6414235946[/C][C]656.358576405404[/C][/ROW]
[ROW][C]92[/C][C]4018[/C][C]2428.02934601014[/C][C]1589.97065398986[/C][/ROW]
[ROW][C]93[/C][C]2734[/C][C]3343.67851433153[/C][C]-609.678514331528[/C][/ROW]
[ROW][C]94[/C][C]3027[/C][C]3038.43540248436[/C][C]-11.4354024843606[/C][/ROW]
[ROW][C]95[/C][C]3862[/C][C]3045.79153630816[/C][C]816.208463691836[/C][/ROW]
[ROW][C]96[/C][C]3281[/C][C]3576.91204742649[/C][C]-295.912047426486[/C][/ROW]
[ROW][C]97[/C][C]2746[/C][C]3492.11521512317[/C][C]-746.115215123166[/C][/ROW]
[ROW][C]98[/C][C]2538[/C][C]3089.26046773321[/C][C]-551.260467733212[/C][/ROW]
[ROW][C]99[/C][C]1805[/C][C]2728.14307357335[/C][C]-923.143073573349[/C][/ROW]
[ROW][C]100[/C][C]2500[/C][C]2070.6319207906[/C][C]429.368079209404[/C][/ROW]
[ROW][C]101[/C][C]2601[/C][C]2169.7971735935[/C][C]431.202826406499[/C][/ROW]
[ROW][C]102[/C][C]3178[/C][C]2317.23988854292[/C][C]860.760111457081[/C][/ROW]
[ROW][C]103[/C][C]4193[/C][C]2784.48887085917[/C][C]1408.51112914083[/C][/ROW]
[ROW][C]104[/C][C]2606[/C][C]3693.65512616886[/C][C]-1087.65512616886[/C][/ROW]
[ROW][C]105[/C][C]2491[/C][C]3173.92117406232[/C][C]-682.921174062321[/C][/ROW]
[ROW][C]106[/C][C]4090[/C][C]2791.58588047925[/C][C]1298.41411952075[/C][/ROW]
[ROW][C]107[/C][C]2786[/C][C]3591.18307460768[/C][C]-805.183074607678[/C][/ROW]
[ROW][C]108[/C][C]2280[/C][C]3198.82710250042[/C][C]-918.827102500419[/C][/ROW]
[ROW][C]109[/C][C]2403[/C][C]2646.0296841842[/C][C]-243.029684184202[/C][/ROW]
[ROW][C]110[/C][C]2934[/C][C]2421.10622078322[/C][C]512.89377921678[/C][/ROW]
[ROW][C]111[/C][C]1601[/C][C]2649.03869976256[/C][C]-1048.03869976256[/C][/ROW]
[ROW][C]112[/C][C]1946[/C][C]1943.06615881769[/C][C]2.93384118231006[/C][/ROW]
[ROW][C]113[/C][C]2554[/C][C]1788.78330005515[/C][C]765.216699944851[/C][/ROW]
[ROW][C]114[/C][C]2006[/C][C]2118.37950961023[/C][C]-112.379509610228[/C][/ROW]
[ROW][C]115[/C][C]2830[/C][C]1975.23458317638[/C][C]854.765416823621[/C][/ROW]
[ROW][C]116[/C][C]3173[/C][C]2433.27071568673[/C][C]739.729284313266[/C][/ROW]
[ROW][C]117[/C][C]1960[/C][C]2912.12468839913[/C][C]-952.124688399127[/C][/ROW]
[ROW][C]118[/C][C]3052[/C][C]2398.91321831586[/C][C]653.086781684143[/C][/ROW]
[ROW][C]119[/C][C]2151[/C][C]2799.49951227294[/C][C]-648.499512272944[/C][/ROW]
[ROW][C]120[/C][C]2493[/C][C]2446.08112329604[/C][C]46.9188767039636[/C][/ROW]
[ROW][C]121[/C][C]2752[/C][C]2462.64576131959[/C][C]289.35423868041[/C][/ROW]
[ROW][C]122[/C][C]2542[/C][C]2638.14853116149[/C][C]-96.1485311614938[/C][/ROW]
[ROW][C]123[/C][C]2027[/C][C]2600.85627780484[/C][C]-573.856277804842[/C][/ROW]
[ROW][C]124[/C][C]1940[/C][C]2249.97806739299[/C][C]-309.978067392986[/C][/ROW]
[ROW][C]125[/C][C]1877[/C][C]2003.52409831364[/C][C]-126.524098313639[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300102&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300102&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
32742-1342876
43145467.4019682079832677.59803179202
529661258.523804027881707.47619597212
620551728.05176216422326.948237835783
724501509.19383355326940.806166446743
827421715.614395108621026.38560489138
916972079.55513310314-382.555133103136
1024091662.35170328161746.648296718386
1122331919.48602778568313.513972214323
1221001983.78790128081116.212098719194
1334341957.33172671741476.6682732826
1418672806.63799342093-939.637993420928
1523652285.1822805968979.8177194031146
1635782307.317988476571270.68201152343
1728453093.64138414855-248.641384148547
1827783055.60502599238-277.605025992378
1920562971.91261343808-915.912613438083
2027572452.84629142754304.15370857246
2133252607.23285502605717.767144973955
2236713057.37083176995613.629168230053
2321473520.20742804893-1373.20742804893
2432252790.01850926599434.981490734013
2535563056.18244989265499.817550107347
2646613411.204930957931249.79506904207
2733444296.82245891812-952.822458918122
2853753922.33802261421452.6619773858
2939074969.23110500679-1062.23110500679
3033564580.18911538518-1224.18911538518
3121843971.85221790507-1787.85221790507
3235102871.62591530354638.374084696465
3328343114.30889955786-280.308899557862
3432712844.2690381365426.7309618635
3528342991.98504941803-157.985049418029
3624082815.60836580652-407.608365806522
3732612463.54680449972797.453195500278
3815262831.19486881998-1305.19486881998
3929381952.52254807122985.477451928776
4023522383.73120339526-31.7312033952626
4139152277.803727372491637.19627262751
4231453227.08519987897-82.0851998789694
4315663265.37949859579-1699.37949859579
4427462268.72974377325477.270256226752
4535722466.37731651611105.6226834839
4626513114.99251520225-463.992515202249
4728052889.23357128123-84.2335712812264
4833542853.46337090162500.536629098384
4925233179.40170036182-656.401700361824
5014802826.35437356298-1346.35437356298
5132781963.607375268251314.39262473175
5250812640.983348708442440.01665129156
5333324176.6286867158-844.628686715796
5427893896.38374995851-1107.38374995851
5541113356.77991499133754.22008500867
5625083876.58113040448-1368.58113040448
5718333132.53385878348-1299.53385878348
5823712282.1157013638988.8842986361078
5942682169.851194852022098.14880514798
6021943341.92464221446-1147.92464221446
6129352685.06366471078249.93633528922
6233472788.9821629569558.017837043099
6330343115.75832537195-81.7583253719458
6454483097.919978667272350.08002133273
6534274613.75674459117-1186.75674459117
6630364143.85606469095-1107.85606469095
6741963593.78622389496602.213776105045
6830094006.94341927397-997.943419273975
6933693471.11412099138-102.114120991378
7041683394.05561687897773.94438312103
7134033861.52353741728-458.523537417282
7217793632.09371820249-1853.09371820249
7327612467.70004722787293.299952772131
7425822461.54392564077120.456074359231
7531532377.92674346315775.073256536854
7630112722.78592949994288.214070500055
7734192843.85109245829575.148907541715
7840423178.5595780837863.440421916297
7943793759.25670722454619.743292775457
8046024280.10695336878321.893046631219
8132494680.01774084172-1431.01774084172
8243724003.28323347057368.716766529432
8343284311.1951020411716.804897958833
8436954436.32873813402-741.328738134021
8536144082.38126867362-468.381268673625
8621143820.23478860865-1706.23478860865
8728392721.45662362565117.543376374349
8824902592.37808298285-102.378082982848
8926102336.68926270732273.31073729268
9023722308.0864163379963.9135836620144
9128332176.6414235946656.358576405404
9240182428.029346010141589.97065398986
9327343343.67851433153-609.678514331528
9430273038.43540248436-11.4354024843606
9538623045.79153630816816.208463691836
9632813576.91204742649-295.912047426486
9727463492.11521512317-746.115215123166
9825383089.26046773321-551.260467733212
9918052728.14307357335-923.143073573349
10025002070.6319207906429.368079209404
10126012169.7971735935431.202826406499
10231782317.23988854292860.760111457081
10341932784.488870859171408.51112914083
10426063693.65512616886-1087.65512616886
10524913173.92117406232-682.921174062321
10640902791.585880479251298.41411952075
10727863591.18307460768-805.183074607678
10822803198.82710250042-918.827102500419
10924032646.0296841842-243.029684184202
11029342421.10622078322512.89377921678
11116012649.03869976256-1048.03869976256
11219461943.066158817692.93384118231006
11325541788.78330005515765.216699944851
11420062118.37950961023-112.379509610228
11528301975.23458317638854.765416823621
11631732433.27071568673739.729284313266
11719602912.12468839913-952.124688399127
11830522398.91321831586653.086781684143
11921512799.49951227294-648.499512272944
12024932446.0811232960446.9188767039636
12127522462.64576131959289.35423868041
12225422638.14853116149-96.1485311614938
12320272600.85627780484-573.856277804842
12419402249.97806739299-309.978067392986
12518772003.52409831364-126.524098313639







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1261839.43169118479-62.67134960632853741.53473197591
1271741.71714433354-510.8137484156323994.24803708272
1281644.00259748229-1016.265470468814304.2706654334
1291546.28805063105-1570.522962386944663.09906364903
1301448.5735037798-2167.152165666095064.29917322568
1311350.85895692855-2801.373270703965503.09118456106
1321253.1444100773-3469.599978383865975.88879853846
1331155.42986322605-4169.083351868326479.94307832042
1341057.7153163748-4897.663288758587013.09392150818
135960.000769523553-5653.600157234097573.60169628119
136862.286222672304-6435.460843571688160.03328891629
137764.571675821055-7242.0407167738771.18406841511

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
126 & 1839.43169118479 & -62.6713496063285 & 3741.53473197591 \tabularnewline
127 & 1741.71714433354 & -510.813748415632 & 3994.24803708272 \tabularnewline
128 & 1644.00259748229 & -1016.26547046881 & 4304.2706654334 \tabularnewline
129 & 1546.28805063105 & -1570.52296238694 & 4663.09906364903 \tabularnewline
130 & 1448.5735037798 & -2167.15216566609 & 5064.29917322568 \tabularnewline
131 & 1350.85895692855 & -2801.37327070396 & 5503.09118456106 \tabularnewline
132 & 1253.1444100773 & -3469.59997838386 & 5975.88879853846 \tabularnewline
133 & 1155.42986322605 & -4169.08335186832 & 6479.94307832042 \tabularnewline
134 & 1057.7153163748 & -4897.66328875858 & 7013.09392150818 \tabularnewline
135 & 960.000769523553 & -5653.60015723409 & 7573.60169628119 \tabularnewline
136 & 862.286222672304 & -6435.46084357168 & 8160.03328891629 \tabularnewline
137 & 764.571675821055 & -7242.040716773 & 8771.18406841511 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300102&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]126[/C][C]1839.43169118479[/C][C]-62.6713496063285[/C][C]3741.53473197591[/C][/ROW]
[ROW][C]127[/C][C]1741.71714433354[/C][C]-510.813748415632[/C][C]3994.24803708272[/C][/ROW]
[ROW][C]128[/C][C]1644.00259748229[/C][C]-1016.26547046881[/C][C]4304.2706654334[/C][/ROW]
[ROW][C]129[/C][C]1546.28805063105[/C][C]-1570.52296238694[/C][C]4663.09906364903[/C][/ROW]
[ROW][C]130[/C][C]1448.5735037798[/C][C]-2167.15216566609[/C][C]5064.29917322568[/C][/ROW]
[ROW][C]131[/C][C]1350.85895692855[/C][C]-2801.37327070396[/C][C]5503.09118456106[/C][/ROW]
[ROW][C]132[/C][C]1253.1444100773[/C][C]-3469.59997838386[/C][C]5975.88879853846[/C][/ROW]
[ROW][C]133[/C][C]1155.42986322605[/C][C]-4169.08335186832[/C][C]6479.94307832042[/C][/ROW]
[ROW][C]134[/C][C]1057.7153163748[/C][C]-4897.66328875858[/C][C]7013.09392150818[/C][/ROW]
[ROW][C]135[/C][C]960.000769523553[/C][C]-5653.60015723409[/C][C]7573.60169628119[/C][/ROW]
[ROW][C]136[/C][C]862.286222672304[/C][C]-6435.46084357168[/C][C]8160.03328891629[/C][/ROW]
[ROW][C]137[/C][C]764.571675821055[/C][C]-7242.040716773[/C][C]8771.18406841511[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300102&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300102&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
1261839.43169118479-62.67134960632853741.53473197591
1271741.71714433354-510.8137484156323994.24803708272
1281644.00259748229-1016.265470468814304.2706654334
1291546.28805063105-1570.522962386944663.09906364903
1301448.5735037798-2167.152165666095064.29917322568
1311350.85895692855-2801.373270703965503.09118456106
1321253.1444100773-3469.599978383865975.88879853846
1331155.42986322605-4169.083351868326479.94307832042
1341057.7153163748-4897.663288758587013.09392150818
135960.000769523553-5653.600157234097573.60169628119
136862.286222672304-6435.460843571688160.03328891629
137764.571675821055-7242.0407167738771.18406841511



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Double ; 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')