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 computationThu, 22 Dec 2016 15:15:10 +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/22/t1482416225gn1m0msqtoe6zx0.htm/, Retrieved Mon, 29 Apr 2024 01:34:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302543, Retrieved Mon, 29 Apr 2024 01:34:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [SMOOTHING] [2016-12-22 14:15:10] [bdfd14aa8be2a979baab2700abeed4b0] [Current]
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Dataseries X:
4861
3665
6683
6824
7811
7242
7458
7856
6477
7577
5999
4628
4144
3778
4320
4948
5132
5460
5598
5583
5917
6458
5079
4486
3763
3531
5014
5162
4880
4720
4631
4315
4268
4172
3432
2705
2359
2729
4043
4301
4576
4984
4854
4847
5038
4950
4566
3943
3328
3106
4821
4876
5691
6576
5850
6499
6244
5855
5304
4035
4167
4791
5215
5949
6459
6680
6413
6626
6642
6529
5691
4743
3535
3314
5564
6287
6738
6355
6745
7005
6575
6719
5196
4304
4967
4175
5579
7009
6997
7062
7214
6918
6874
7175
5375
4675
4422
4567
5971
6560
6415
6727
7077
6589
6800
6982
6118
4500
3195
4482
6619
6237
6520
7043
6188
6774
6118
6308
5230
4587
4976
4561
5456
5691
6163
6133




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=302543&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=302543&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302543&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
alpha0.999933893038648
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999933893038648 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302543&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]0.999933893038648[/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=302543&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302543&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
alpha0.999933893038648
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
236654861-1196
366833665.079063925783017.92093607422
468246682.80049441732141.199505582685
578116823.99066572974987.009334270258
672427810.93475181208-568.934751812085
774587242.03761054765215.96238945235
878567457.98572338267398.014276617333
964777855.9736884856-1378.9736884856
1075776477.091159760331099.90884023967
1159997576.92728836881-1577.92728836881
1246285999.10431197827-1371.10431197827
1341444628.09063953976-484.090639539761
1437784144.0320017612-366.032001761198
1543203778.02419726339541.975802736606
1649484319.96417162656628.035828373445
1751324947.95848245977184.041517540234
1854605131.98783357451328.012166425488
1955985459.97831611239138.021683887609
2055835597.99087580588-14.9908758058782
2159175583.00099100125333.999008998752
2264585916.97792034042541.02207965958
2350796457.96423467429-1378.96423467429
2444865079.09115913537-593.091159135367
2537634486.03920745433-723.039207454334
2635313763.04779792494-232.047797924943
2750143531.015339974811482.98466002519
2851625013.90196439039148.098035609605
2948805161.99020968888-281.990209688884
3047204880.01864151589-160.018641515893
3146314720.01057834615-89.0105783461504
3243154631.00588421886-316.005884218862
3342684315.02089018877-47.0208901887745
3441724268.00310840817-96.0031084081702
3534324172.00634647378-740.006346473777
3627053432.04891957095-727.048919570946
3723592705.04806299483-346.048062994827
3827292359.02287618593369.977123814074
3940432728.975541936571314.02445806343
4043014042.91313383594258.086866164065
4145764300.98293866151275.017061338487
4249844575.98181945775408.018180542245
4348544983.97302715791-129.973027157908
4448474854.00859212188-7.00859212188334
4550384847.00046331673190.999536683271
4649505037.98737360101-87.9873736010104
4745664950.00581657791-384.005816577906
4839434566.02538545768-623.025385457676
4933283943.04118631508-615.041186315078
5031063328.04065850393-222.040658503934
5148213106.014678433231714.98532156677
5248764820.8866275316355.1133724683714
5356914875.99635662242815.003643377584
5465765690.94612258565885.053877414354
5558506575.94149177753-725.941491777531
5664995850.04798978614648.952010213859
5762446498.95709975454-254.957099754542
5858556244.01685443914-389.01685443914
5953045855.02571672216-551.025716722162
6040355304.03642663576-1269.03642663576
6141674035.08389214201131.91610785799
6247914166.99127942696624.008720573044
6352154790.95874867963424.041251320375
6459495214.97196792139734.028032078613
6564595948.95147563725510.048524362747
6666806458.96628224191221.033717758088
6764136679.98538813256-266.985388132563
6866266413.01764959274212.982350407265
6966426625.9859203839916.0140796160067
7065296641.99894135786-112.998941357858
7156916529.00747001665-838.007470016649
7247435691.05539812743-948.055398127433
7335354743.06267306156-1208.06267306156
7433143535.07986135244-221.079861352439
7555643314.014614917852249.98538508215
7662875563.85126030311723.148739696894
7767386286.95219483421451.047805165786
7863556737.97018260018-382.970182600176
7967456355.02531699506389.97468300494
8070056744.9742199587260.025780041297
8165757004.98281048581-429.982810485808
8267196575.02842485704143.971575142965
8351966718.99048247665-1522.99048247665
8443045196.10068027296-892.100680272964
8549674304.05897406519662.941025934807
8641754966.95617498322-791.95617498322
8755794175.052353816251403.94764618375
8870095578.907189287211430.09281071279
8969977008.90546090983-11.9054609098321
9070626997.0007870338464.999212966155
9172147061.99570309954152.00429690046
9269187213.98995145782-295.989951457819
9368746918.01956699628-44.0195669962823
9471756874.00290999981300.997090000185
9553757174.980101997-1799.980101997
9646755375.11899121504-700.118991215037
9744224675.04628273909-253.046282739094
9845674422.01672812083144.983271879167
9959714566.990415596451404.00958440355
10065605970.90718519267589.092814807334
10164156559.96105686406-144.961056864058
10267276415.00958293498311.990417065017
10370776726.97937526156350.020624738443
10465897076.97686120009-487.976861200088
10568006589.0322586675210.967741332496
10669826799.98605356368182.013946436323
10761186981.98796761108-863.987967611078
10845006118.05711561918-1618.05711561918
10931954500.10696483921-1305.10696483921
11044823195.086276655681286.91372334432
11166194481.914926044232137.08507395577
11262376618.85872379961-381.858723799611
11365206237.0252435199282.974756480104
11470436519.98129339871523.01870660129
11561887042.96542482258-854.965424822576
11667746188.0565191663585.943480833705
11761186773.96126505696-655.961265056958
11863086118.043363606189.956636394003
11952306307.98744254398-1077.98744254398
12045875230.0712624742-643.071262474202
12149764587.04251148709388.957488512906
12245614975.97428720234-414.97428720234
12354564561.02743268917894.972567310834
12456915455.94083608308235.059163916918
12561635690.98446095294472.015539047065
12661336162.968796487-29.9687964870036

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 3665 & 4861 & -1196 \tabularnewline
3 & 6683 & 3665.07906392578 & 3017.92093607422 \tabularnewline
4 & 6824 & 6682.80049441732 & 141.199505582685 \tabularnewline
5 & 7811 & 6823.99066572974 & 987.009334270258 \tabularnewline
6 & 7242 & 7810.93475181208 & -568.934751812085 \tabularnewline
7 & 7458 & 7242.03761054765 & 215.96238945235 \tabularnewline
8 & 7856 & 7457.98572338267 & 398.014276617333 \tabularnewline
9 & 6477 & 7855.9736884856 & -1378.9736884856 \tabularnewline
10 & 7577 & 6477.09115976033 & 1099.90884023967 \tabularnewline
11 & 5999 & 7576.92728836881 & -1577.92728836881 \tabularnewline
12 & 4628 & 5999.10431197827 & -1371.10431197827 \tabularnewline
13 & 4144 & 4628.09063953976 & -484.090639539761 \tabularnewline
14 & 3778 & 4144.0320017612 & -366.032001761198 \tabularnewline
15 & 4320 & 3778.02419726339 & 541.975802736606 \tabularnewline
16 & 4948 & 4319.96417162656 & 628.035828373445 \tabularnewline
17 & 5132 & 4947.95848245977 & 184.041517540234 \tabularnewline
18 & 5460 & 5131.98783357451 & 328.012166425488 \tabularnewline
19 & 5598 & 5459.97831611239 & 138.021683887609 \tabularnewline
20 & 5583 & 5597.99087580588 & -14.9908758058782 \tabularnewline
21 & 5917 & 5583.00099100125 & 333.999008998752 \tabularnewline
22 & 6458 & 5916.97792034042 & 541.02207965958 \tabularnewline
23 & 5079 & 6457.96423467429 & -1378.96423467429 \tabularnewline
24 & 4486 & 5079.09115913537 & -593.091159135367 \tabularnewline
25 & 3763 & 4486.03920745433 & -723.039207454334 \tabularnewline
26 & 3531 & 3763.04779792494 & -232.047797924943 \tabularnewline
27 & 5014 & 3531.01533997481 & 1482.98466002519 \tabularnewline
28 & 5162 & 5013.90196439039 & 148.098035609605 \tabularnewline
29 & 4880 & 5161.99020968888 & -281.990209688884 \tabularnewline
30 & 4720 & 4880.01864151589 & -160.018641515893 \tabularnewline
31 & 4631 & 4720.01057834615 & -89.0105783461504 \tabularnewline
32 & 4315 & 4631.00588421886 & -316.005884218862 \tabularnewline
33 & 4268 & 4315.02089018877 & -47.0208901887745 \tabularnewline
34 & 4172 & 4268.00310840817 & -96.0031084081702 \tabularnewline
35 & 3432 & 4172.00634647378 & -740.006346473777 \tabularnewline
36 & 2705 & 3432.04891957095 & -727.048919570946 \tabularnewline
37 & 2359 & 2705.04806299483 & -346.048062994827 \tabularnewline
38 & 2729 & 2359.02287618593 & 369.977123814074 \tabularnewline
39 & 4043 & 2728.97554193657 & 1314.02445806343 \tabularnewline
40 & 4301 & 4042.91313383594 & 258.086866164065 \tabularnewline
41 & 4576 & 4300.98293866151 & 275.017061338487 \tabularnewline
42 & 4984 & 4575.98181945775 & 408.018180542245 \tabularnewline
43 & 4854 & 4983.97302715791 & -129.973027157908 \tabularnewline
44 & 4847 & 4854.00859212188 & -7.00859212188334 \tabularnewline
45 & 5038 & 4847.00046331673 & 190.999536683271 \tabularnewline
46 & 4950 & 5037.98737360101 & -87.9873736010104 \tabularnewline
47 & 4566 & 4950.00581657791 & -384.005816577906 \tabularnewline
48 & 3943 & 4566.02538545768 & -623.025385457676 \tabularnewline
49 & 3328 & 3943.04118631508 & -615.041186315078 \tabularnewline
50 & 3106 & 3328.04065850393 & -222.040658503934 \tabularnewline
51 & 4821 & 3106.01467843323 & 1714.98532156677 \tabularnewline
52 & 4876 & 4820.88662753163 & 55.1133724683714 \tabularnewline
53 & 5691 & 4875.99635662242 & 815.003643377584 \tabularnewline
54 & 6576 & 5690.94612258565 & 885.053877414354 \tabularnewline
55 & 5850 & 6575.94149177753 & -725.941491777531 \tabularnewline
56 & 6499 & 5850.04798978614 & 648.952010213859 \tabularnewline
57 & 6244 & 6498.95709975454 & -254.957099754542 \tabularnewline
58 & 5855 & 6244.01685443914 & -389.01685443914 \tabularnewline
59 & 5304 & 5855.02571672216 & -551.025716722162 \tabularnewline
60 & 4035 & 5304.03642663576 & -1269.03642663576 \tabularnewline
61 & 4167 & 4035.08389214201 & 131.91610785799 \tabularnewline
62 & 4791 & 4166.99127942696 & 624.008720573044 \tabularnewline
63 & 5215 & 4790.95874867963 & 424.041251320375 \tabularnewline
64 & 5949 & 5214.97196792139 & 734.028032078613 \tabularnewline
65 & 6459 & 5948.95147563725 & 510.048524362747 \tabularnewline
66 & 6680 & 6458.96628224191 & 221.033717758088 \tabularnewline
67 & 6413 & 6679.98538813256 & -266.985388132563 \tabularnewline
68 & 6626 & 6413.01764959274 & 212.982350407265 \tabularnewline
69 & 6642 & 6625.98592038399 & 16.0140796160067 \tabularnewline
70 & 6529 & 6641.99894135786 & -112.998941357858 \tabularnewline
71 & 5691 & 6529.00747001665 & -838.007470016649 \tabularnewline
72 & 4743 & 5691.05539812743 & -948.055398127433 \tabularnewline
73 & 3535 & 4743.06267306156 & -1208.06267306156 \tabularnewline
74 & 3314 & 3535.07986135244 & -221.079861352439 \tabularnewline
75 & 5564 & 3314.01461491785 & 2249.98538508215 \tabularnewline
76 & 6287 & 5563.85126030311 & 723.148739696894 \tabularnewline
77 & 6738 & 6286.95219483421 & 451.047805165786 \tabularnewline
78 & 6355 & 6737.97018260018 & -382.970182600176 \tabularnewline
79 & 6745 & 6355.02531699506 & 389.97468300494 \tabularnewline
80 & 7005 & 6744.9742199587 & 260.025780041297 \tabularnewline
81 & 6575 & 7004.98281048581 & -429.982810485808 \tabularnewline
82 & 6719 & 6575.02842485704 & 143.971575142965 \tabularnewline
83 & 5196 & 6718.99048247665 & -1522.99048247665 \tabularnewline
84 & 4304 & 5196.10068027296 & -892.100680272964 \tabularnewline
85 & 4967 & 4304.05897406519 & 662.941025934807 \tabularnewline
86 & 4175 & 4966.95617498322 & -791.95617498322 \tabularnewline
87 & 5579 & 4175.05235381625 & 1403.94764618375 \tabularnewline
88 & 7009 & 5578.90718928721 & 1430.09281071279 \tabularnewline
89 & 6997 & 7008.90546090983 & -11.9054609098321 \tabularnewline
90 & 7062 & 6997.00078703384 & 64.999212966155 \tabularnewline
91 & 7214 & 7061.99570309954 & 152.00429690046 \tabularnewline
92 & 6918 & 7213.98995145782 & -295.989951457819 \tabularnewline
93 & 6874 & 6918.01956699628 & -44.0195669962823 \tabularnewline
94 & 7175 & 6874.00290999981 & 300.997090000185 \tabularnewline
95 & 5375 & 7174.980101997 & -1799.980101997 \tabularnewline
96 & 4675 & 5375.11899121504 & -700.118991215037 \tabularnewline
97 & 4422 & 4675.04628273909 & -253.046282739094 \tabularnewline
98 & 4567 & 4422.01672812083 & 144.983271879167 \tabularnewline
99 & 5971 & 4566.99041559645 & 1404.00958440355 \tabularnewline
100 & 6560 & 5970.90718519267 & 589.092814807334 \tabularnewline
101 & 6415 & 6559.96105686406 & -144.961056864058 \tabularnewline
102 & 6727 & 6415.00958293498 & 311.990417065017 \tabularnewline
103 & 7077 & 6726.97937526156 & 350.020624738443 \tabularnewline
104 & 6589 & 7076.97686120009 & -487.976861200088 \tabularnewline
105 & 6800 & 6589.0322586675 & 210.967741332496 \tabularnewline
106 & 6982 & 6799.98605356368 & 182.013946436323 \tabularnewline
107 & 6118 & 6981.98796761108 & -863.987967611078 \tabularnewline
108 & 4500 & 6118.05711561918 & -1618.05711561918 \tabularnewline
109 & 3195 & 4500.10696483921 & -1305.10696483921 \tabularnewline
110 & 4482 & 3195.08627665568 & 1286.91372334432 \tabularnewline
111 & 6619 & 4481.91492604423 & 2137.08507395577 \tabularnewline
112 & 6237 & 6618.85872379961 & -381.858723799611 \tabularnewline
113 & 6520 & 6237.0252435199 & 282.974756480104 \tabularnewline
114 & 7043 & 6519.98129339871 & 523.01870660129 \tabularnewline
115 & 6188 & 7042.96542482258 & -854.965424822576 \tabularnewline
116 & 6774 & 6188.0565191663 & 585.943480833705 \tabularnewline
117 & 6118 & 6773.96126505696 & -655.961265056958 \tabularnewline
118 & 6308 & 6118.043363606 & 189.956636394003 \tabularnewline
119 & 5230 & 6307.98744254398 & -1077.98744254398 \tabularnewline
120 & 4587 & 5230.0712624742 & -643.071262474202 \tabularnewline
121 & 4976 & 4587.04251148709 & 388.957488512906 \tabularnewline
122 & 4561 & 4975.97428720234 & -414.97428720234 \tabularnewline
123 & 5456 & 4561.02743268917 & 894.972567310834 \tabularnewline
124 & 5691 & 5455.94083608308 & 235.059163916918 \tabularnewline
125 & 6163 & 5690.98446095294 & 472.015539047065 \tabularnewline
126 & 6133 & 6162.968796487 & -29.9687964870036 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302543&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]3665[/C][C]4861[/C][C]-1196[/C][/ROW]
[ROW][C]3[/C][C]6683[/C][C]3665.07906392578[/C][C]3017.92093607422[/C][/ROW]
[ROW][C]4[/C][C]6824[/C][C]6682.80049441732[/C][C]141.199505582685[/C][/ROW]
[ROW][C]5[/C][C]7811[/C][C]6823.99066572974[/C][C]987.009334270258[/C][/ROW]
[ROW][C]6[/C][C]7242[/C][C]7810.93475181208[/C][C]-568.934751812085[/C][/ROW]
[ROW][C]7[/C][C]7458[/C][C]7242.03761054765[/C][C]215.96238945235[/C][/ROW]
[ROW][C]8[/C][C]7856[/C][C]7457.98572338267[/C][C]398.014276617333[/C][/ROW]
[ROW][C]9[/C][C]6477[/C][C]7855.9736884856[/C][C]-1378.9736884856[/C][/ROW]
[ROW][C]10[/C][C]7577[/C][C]6477.09115976033[/C][C]1099.90884023967[/C][/ROW]
[ROW][C]11[/C][C]5999[/C][C]7576.92728836881[/C][C]-1577.92728836881[/C][/ROW]
[ROW][C]12[/C][C]4628[/C][C]5999.10431197827[/C][C]-1371.10431197827[/C][/ROW]
[ROW][C]13[/C][C]4144[/C][C]4628.09063953976[/C][C]-484.090639539761[/C][/ROW]
[ROW][C]14[/C][C]3778[/C][C]4144.0320017612[/C][C]-366.032001761198[/C][/ROW]
[ROW][C]15[/C][C]4320[/C][C]3778.02419726339[/C][C]541.975802736606[/C][/ROW]
[ROW][C]16[/C][C]4948[/C][C]4319.96417162656[/C][C]628.035828373445[/C][/ROW]
[ROW][C]17[/C][C]5132[/C][C]4947.95848245977[/C][C]184.041517540234[/C][/ROW]
[ROW][C]18[/C][C]5460[/C][C]5131.98783357451[/C][C]328.012166425488[/C][/ROW]
[ROW][C]19[/C][C]5598[/C][C]5459.97831611239[/C][C]138.021683887609[/C][/ROW]
[ROW][C]20[/C][C]5583[/C][C]5597.99087580588[/C][C]-14.9908758058782[/C][/ROW]
[ROW][C]21[/C][C]5917[/C][C]5583.00099100125[/C][C]333.999008998752[/C][/ROW]
[ROW][C]22[/C][C]6458[/C][C]5916.97792034042[/C][C]541.02207965958[/C][/ROW]
[ROW][C]23[/C][C]5079[/C][C]6457.96423467429[/C][C]-1378.96423467429[/C][/ROW]
[ROW][C]24[/C][C]4486[/C][C]5079.09115913537[/C][C]-593.091159135367[/C][/ROW]
[ROW][C]25[/C][C]3763[/C][C]4486.03920745433[/C][C]-723.039207454334[/C][/ROW]
[ROW][C]26[/C][C]3531[/C][C]3763.04779792494[/C][C]-232.047797924943[/C][/ROW]
[ROW][C]27[/C][C]5014[/C][C]3531.01533997481[/C][C]1482.98466002519[/C][/ROW]
[ROW][C]28[/C][C]5162[/C][C]5013.90196439039[/C][C]148.098035609605[/C][/ROW]
[ROW][C]29[/C][C]4880[/C][C]5161.99020968888[/C][C]-281.990209688884[/C][/ROW]
[ROW][C]30[/C][C]4720[/C][C]4880.01864151589[/C][C]-160.018641515893[/C][/ROW]
[ROW][C]31[/C][C]4631[/C][C]4720.01057834615[/C][C]-89.0105783461504[/C][/ROW]
[ROW][C]32[/C][C]4315[/C][C]4631.00588421886[/C][C]-316.005884218862[/C][/ROW]
[ROW][C]33[/C][C]4268[/C][C]4315.02089018877[/C][C]-47.0208901887745[/C][/ROW]
[ROW][C]34[/C][C]4172[/C][C]4268.00310840817[/C][C]-96.0031084081702[/C][/ROW]
[ROW][C]35[/C][C]3432[/C][C]4172.00634647378[/C][C]-740.006346473777[/C][/ROW]
[ROW][C]36[/C][C]2705[/C][C]3432.04891957095[/C][C]-727.048919570946[/C][/ROW]
[ROW][C]37[/C][C]2359[/C][C]2705.04806299483[/C][C]-346.048062994827[/C][/ROW]
[ROW][C]38[/C][C]2729[/C][C]2359.02287618593[/C][C]369.977123814074[/C][/ROW]
[ROW][C]39[/C][C]4043[/C][C]2728.97554193657[/C][C]1314.02445806343[/C][/ROW]
[ROW][C]40[/C][C]4301[/C][C]4042.91313383594[/C][C]258.086866164065[/C][/ROW]
[ROW][C]41[/C][C]4576[/C][C]4300.98293866151[/C][C]275.017061338487[/C][/ROW]
[ROW][C]42[/C][C]4984[/C][C]4575.98181945775[/C][C]408.018180542245[/C][/ROW]
[ROW][C]43[/C][C]4854[/C][C]4983.97302715791[/C][C]-129.973027157908[/C][/ROW]
[ROW][C]44[/C][C]4847[/C][C]4854.00859212188[/C][C]-7.00859212188334[/C][/ROW]
[ROW][C]45[/C][C]5038[/C][C]4847.00046331673[/C][C]190.999536683271[/C][/ROW]
[ROW][C]46[/C][C]4950[/C][C]5037.98737360101[/C][C]-87.9873736010104[/C][/ROW]
[ROW][C]47[/C][C]4566[/C][C]4950.00581657791[/C][C]-384.005816577906[/C][/ROW]
[ROW][C]48[/C][C]3943[/C][C]4566.02538545768[/C][C]-623.025385457676[/C][/ROW]
[ROW][C]49[/C][C]3328[/C][C]3943.04118631508[/C][C]-615.041186315078[/C][/ROW]
[ROW][C]50[/C][C]3106[/C][C]3328.04065850393[/C][C]-222.040658503934[/C][/ROW]
[ROW][C]51[/C][C]4821[/C][C]3106.01467843323[/C][C]1714.98532156677[/C][/ROW]
[ROW][C]52[/C][C]4876[/C][C]4820.88662753163[/C][C]55.1133724683714[/C][/ROW]
[ROW][C]53[/C][C]5691[/C][C]4875.99635662242[/C][C]815.003643377584[/C][/ROW]
[ROW][C]54[/C][C]6576[/C][C]5690.94612258565[/C][C]885.053877414354[/C][/ROW]
[ROW][C]55[/C][C]5850[/C][C]6575.94149177753[/C][C]-725.941491777531[/C][/ROW]
[ROW][C]56[/C][C]6499[/C][C]5850.04798978614[/C][C]648.952010213859[/C][/ROW]
[ROW][C]57[/C][C]6244[/C][C]6498.95709975454[/C][C]-254.957099754542[/C][/ROW]
[ROW][C]58[/C][C]5855[/C][C]6244.01685443914[/C][C]-389.01685443914[/C][/ROW]
[ROW][C]59[/C][C]5304[/C][C]5855.02571672216[/C][C]-551.025716722162[/C][/ROW]
[ROW][C]60[/C][C]4035[/C][C]5304.03642663576[/C][C]-1269.03642663576[/C][/ROW]
[ROW][C]61[/C][C]4167[/C][C]4035.08389214201[/C][C]131.91610785799[/C][/ROW]
[ROW][C]62[/C][C]4791[/C][C]4166.99127942696[/C][C]624.008720573044[/C][/ROW]
[ROW][C]63[/C][C]5215[/C][C]4790.95874867963[/C][C]424.041251320375[/C][/ROW]
[ROW][C]64[/C][C]5949[/C][C]5214.97196792139[/C][C]734.028032078613[/C][/ROW]
[ROW][C]65[/C][C]6459[/C][C]5948.95147563725[/C][C]510.048524362747[/C][/ROW]
[ROW][C]66[/C][C]6680[/C][C]6458.96628224191[/C][C]221.033717758088[/C][/ROW]
[ROW][C]67[/C][C]6413[/C][C]6679.98538813256[/C][C]-266.985388132563[/C][/ROW]
[ROW][C]68[/C][C]6626[/C][C]6413.01764959274[/C][C]212.982350407265[/C][/ROW]
[ROW][C]69[/C][C]6642[/C][C]6625.98592038399[/C][C]16.0140796160067[/C][/ROW]
[ROW][C]70[/C][C]6529[/C][C]6641.99894135786[/C][C]-112.998941357858[/C][/ROW]
[ROW][C]71[/C][C]5691[/C][C]6529.00747001665[/C][C]-838.007470016649[/C][/ROW]
[ROW][C]72[/C][C]4743[/C][C]5691.05539812743[/C][C]-948.055398127433[/C][/ROW]
[ROW][C]73[/C][C]3535[/C][C]4743.06267306156[/C][C]-1208.06267306156[/C][/ROW]
[ROW][C]74[/C][C]3314[/C][C]3535.07986135244[/C][C]-221.079861352439[/C][/ROW]
[ROW][C]75[/C][C]5564[/C][C]3314.01461491785[/C][C]2249.98538508215[/C][/ROW]
[ROW][C]76[/C][C]6287[/C][C]5563.85126030311[/C][C]723.148739696894[/C][/ROW]
[ROW][C]77[/C][C]6738[/C][C]6286.95219483421[/C][C]451.047805165786[/C][/ROW]
[ROW][C]78[/C][C]6355[/C][C]6737.97018260018[/C][C]-382.970182600176[/C][/ROW]
[ROW][C]79[/C][C]6745[/C][C]6355.02531699506[/C][C]389.97468300494[/C][/ROW]
[ROW][C]80[/C][C]7005[/C][C]6744.9742199587[/C][C]260.025780041297[/C][/ROW]
[ROW][C]81[/C][C]6575[/C][C]7004.98281048581[/C][C]-429.982810485808[/C][/ROW]
[ROW][C]82[/C][C]6719[/C][C]6575.02842485704[/C][C]143.971575142965[/C][/ROW]
[ROW][C]83[/C][C]5196[/C][C]6718.99048247665[/C][C]-1522.99048247665[/C][/ROW]
[ROW][C]84[/C][C]4304[/C][C]5196.10068027296[/C][C]-892.100680272964[/C][/ROW]
[ROW][C]85[/C][C]4967[/C][C]4304.05897406519[/C][C]662.941025934807[/C][/ROW]
[ROW][C]86[/C][C]4175[/C][C]4966.95617498322[/C][C]-791.95617498322[/C][/ROW]
[ROW][C]87[/C][C]5579[/C][C]4175.05235381625[/C][C]1403.94764618375[/C][/ROW]
[ROW][C]88[/C][C]7009[/C][C]5578.90718928721[/C][C]1430.09281071279[/C][/ROW]
[ROW][C]89[/C][C]6997[/C][C]7008.90546090983[/C][C]-11.9054609098321[/C][/ROW]
[ROW][C]90[/C][C]7062[/C][C]6997.00078703384[/C][C]64.999212966155[/C][/ROW]
[ROW][C]91[/C][C]7214[/C][C]7061.99570309954[/C][C]152.00429690046[/C][/ROW]
[ROW][C]92[/C][C]6918[/C][C]7213.98995145782[/C][C]-295.989951457819[/C][/ROW]
[ROW][C]93[/C][C]6874[/C][C]6918.01956699628[/C][C]-44.0195669962823[/C][/ROW]
[ROW][C]94[/C][C]7175[/C][C]6874.00290999981[/C][C]300.997090000185[/C][/ROW]
[ROW][C]95[/C][C]5375[/C][C]7174.980101997[/C][C]-1799.980101997[/C][/ROW]
[ROW][C]96[/C][C]4675[/C][C]5375.11899121504[/C][C]-700.118991215037[/C][/ROW]
[ROW][C]97[/C][C]4422[/C][C]4675.04628273909[/C][C]-253.046282739094[/C][/ROW]
[ROW][C]98[/C][C]4567[/C][C]4422.01672812083[/C][C]144.983271879167[/C][/ROW]
[ROW][C]99[/C][C]5971[/C][C]4566.99041559645[/C][C]1404.00958440355[/C][/ROW]
[ROW][C]100[/C][C]6560[/C][C]5970.90718519267[/C][C]589.092814807334[/C][/ROW]
[ROW][C]101[/C][C]6415[/C][C]6559.96105686406[/C][C]-144.961056864058[/C][/ROW]
[ROW][C]102[/C][C]6727[/C][C]6415.00958293498[/C][C]311.990417065017[/C][/ROW]
[ROW][C]103[/C][C]7077[/C][C]6726.97937526156[/C][C]350.020624738443[/C][/ROW]
[ROW][C]104[/C][C]6589[/C][C]7076.97686120009[/C][C]-487.976861200088[/C][/ROW]
[ROW][C]105[/C][C]6800[/C][C]6589.0322586675[/C][C]210.967741332496[/C][/ROW]
[ROW][C]106[/C][C]6982[/C][C]6799.98605356368[/C][C]182.013946436323[/C][/ROW]
[ROW][C]107[/C][C]6118[/C][C]6981.98796761108[/C][C]-863.987967611078[/C][/ROW]
[ROW][C]108[/C][C]4500[/C][C]6118.05711561918[/C][C]-1618.05711561918[/C][/ROW]
[ROW][C]109[/C][C]3195[/C][C]4500.10696483921[/C][C]-1305.10696483921[/C][/ROW]
[ROW][C]110[/C][C]4482[/C][C]3195.08627665568[/C][C]1286.91372334432[/C][/ROW]
[ROW][C]111[/C][C]6619[/C][C]4481.91492604423[/C][C]2137.08507395577[/C][/ROW]
[ROW][C]112[/C][C]6237[/C][C]6618.85872379961[/C][C]-381.858723799611[/C][/ROW]
[ROW][C]113[/C][C]6520[/C][C]6237.0252435199[/C][C]282.974756480104[/C][/ROW]
[ROW][C]114[/C][C]7043[/C][C]6519.98129339871[/C][C]523.01870660129[/C][/ROW]
[ROW][C]115[/C][C]6188[/C][C]7042.96542482258[/C][C]-854.965424822576[/C][/ROW]
[ROW][C]116[/C][C]6774[/C][C]6188.0565191663[/C][C]585.943480833705[/C][/ROW]
[ROW][C]117[/C][C]6118[/C][C]6773.96126505696[/C][C]-655.961265056958[/C][/ROW]
[ROW][C]118[/C][C]6308[/C][C]6118.043363606[/C][C]189.956636394003[/C][/ROW]
[ROW][C]119[/C][C]5230[/C][C]6307.98744254398[/C][C]-1077.98744254398[/C][/ROW]
[ROW][C]120[/C][C]4587[/C][C]5230.0712624742[/C][C]-643.071262474202[/C][/ROW]
[ROW][C]121[/C][C]4976[/C][C]4587.04251148709[/C][C]388.957488512906[/C][/ROW]
[ROW][C]122[/C][C]4561[/C][C]4975.97428720234[/C][C]-414.97428720234[/C][/ROW]
[ROW][C]123[/C][C]5456[/C][C]4561.02743268917[/C][C]894.972567310834[/C][/ROW]
[ROW][C]124[/C][C]5691[/C][C]5455.94083608308[/C][C]235.059163916918[/C][/ROW]
[ROW][C]125[/C][C]6163[/C][C]5690.98446095294[/C][C]472.015539047065[/C][/ROW]
[ROW][C]126[/C][C]6133[/C][C]6162.968796487[/C][C]-29.9687964870036[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302543&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302543&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
236654861-1196
366833665.079063925783017.92093607422
468246682.80049441732141.199505582685
578116823.99066572974987.009334270258
672427810.93475181208-568.934751812085
774587242.03761054765215.96238945235
878567457.98572338267398.014276617333
964777855.9736884856-1378.9736884856
1075776477.091159760331099.90884023967
1159997576.92728836881-1577.92728836881
1246285999.10431197827-1371.10431197827
1341444628.09063953976-484.090639539761
1437784144.0320017612-366.032001761198
1543203778.02419726339541.975802736606
1649484319.96417162656628.035828373445
1751324947.95848245977184.041517540234
1854605131.98783357451328.012166425488
1955985459.97831611239138.021683887609
2055835597.99087580588-14.9908758058782
2159175583.00099100125333.999008998752
2264585916.97792034042541.02207965958
2350796457.96423467429-1378.96423467429
2444865079.09115913537-593.091159135367
2537634486.03920745433-723.039207454334
2635313763.04779792494-232.047797924943
2750143531.015339974811482.98466002519
2851625013.90196439039148.098035609605
2948805161.99020968888-281.990209688884
3047204880.01864151589-160.018641515893
3146314720.01057834615-89.0105783461504
3243154631.00588421886-316.005884218862
3342684315.02089018877-47.0208901887745
3441724268.00310840817-96.0031084081702
3534324172.00634647378-740.006346473777
3627053432.04891957095-727.048919570946
3723592705.04806299483-346.048062994827
3827292359.02287618593369.977123814074
3940432728.975541936571314.02445806343
4043014042.91313383594258.086866164065
4145764300.98293866151275.017061338487
4249844575.98181945775408.018180542245
4348544983.97302715791-129.973027157908
4448474854.00859212188-7.00859212188334
4550384847.00046331673190.999536683271
4649505037.98737360101-87.9873736010104
4745664950.00581657791-384.005816577906
4839434566.02538545768-623.025385457676
4933283943.04118631508-615.041186315078
5031063328.04065850393-222.040658503934
5148213106.014678433231714.98532156677
5248764820.8866275316355.1133724683714
5356914875.99635662242815.003643377584
5465765690.94612258565885.053877414354
5558506575.94149177753-725.941491777531
5664995850.04798978614648.952010213859
5762446498.95709975454-254.957099754542
5858556244.01685443914-389.01685443914
5953045855.02571672216-551.025716722162
6040355304.03642663576-1269.03642663576
6141674035.08389214201131.91610785799
6247914166.99127942696624.008720573044
6352154790.95874867963424.041251320375
6459495214.97196792139734.028032078613
6564595948.95147563725510.048524362747
6666806458.96628224191221.033717758088
6764136679.98538813256-266.985388132563
6866266413.01764959274212.982350407265
6966426625.9859203839916.0140796160067
7065296641.99894135786-112.998941357858
7156916529.00747001665-838.007470016649
7247435691.05539812743-948.055398127433
7335354743.06267306156-1208.06267306156
7433143535.07986135244-221.079861352439
7555643314.014614917852249.98538508215
7662875563.85126030311723.148739696894
7767386286.95219483421451.047805165786
7863556737.97018260018-382.970182600176
7967456355.02531699506389.97468300494
8070056744.9742199587260.025780041297
8165757004.98281048581-429.982810485808
8267196575.02842485704143.971575142965
8351966718.99048247665-1522.99048247665
8443045196.10068027296-892.100680272964
8549674304.05897406519662.941025934807
8641754966.95617498322-791.95617498322
8755794175.052353816251403.94764618375
8870095578.907189287211430.09281071279
8969977008.90546090983-11.9054609098321
9070626997.0007870338464.999212966155
9172147061.99570309954152.00429690046
9269187213.98995145782-295.989951457819
9368746918.01956699628-44.0195669962823
9471756874.00290999981300.997090000185
9553757174.980101997-1799.980101997
9646755375.11899121504-700.118991215037
9744224675.04628273909-253.046282739094
9845674422.01672812083144.983271879167
9959714566.990415596451404.00958440355
10065605970.90718519267589.092814807334
10164156559.96105686406-144.961056864058
10267276415.00958293498311.990417065017
10370776726.97937526156350.020624738443
10465897076.97686120009-487.976861200088
10568006589.0322586675210.967741332496
10669826799.98605356368182.013946436323
10761186981.98796761108-863.987967611078
10845006118.05711561918-1618.05711561918
10931954500.10696483921-1305.10696483921
11044823195.086276655681286.91372334432
11166194481.914926044232137.08507395577
11262376618.85872379961-381.858723799611
11365206237.0252435199282.974756480104
11470436519.98129339871523.01870660129
11561887042.96542482258-854.965424822576
11667746188.0565191663585.943480833705
11761186773.96126505696-655.961265056958
11863086118.043363606189.956636394003
11952306307.98744254398-1077.98744254398
12045875230.0712624742-643.071262474202
12149764587.04251148709388.957488512906
12245614975.97428720234-414.97428720234
12354564561.02743268917894.972567310834
12456915455.94083608308235.059163916918
12561635690.98446095294472.015539047065
12661336162.968796487-29.9687964870036







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1276133.001981146074551.558587460317714.44537483183
1286133.001981146073896.577208514988369.42675377716
1296133.001981146073393.982390153038872.02157213911
1306133.001981146072970.272009104619295.73195318753
1316133.001981146072596.97406379949669.02989849275
1326133.001981146072259.4860087431310006.517953549
1336133.001981146071949.1331322615410316.8708300306
1346133.001981146071660.2633233579710605.7406389342
1356133.001981146071388.9505841776810877.0533781145
1366133.001981146071132.33640411711133.6675581751
1376133.00198114607888.26282943517411377.741132857
1386133.00198114607655.05333902694211610.9506232652

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
127 & 6133.00198114607 & 4551.55858746031 & 7714.44537483183 \tabularnewline
128 & 6133.00198114607 & 3896.57720851498 & 8369.42675377716 \tabularnewline
129 & 6133.00198114607 & 3393.98239015303 & 8872.02157213911 \tabularnewline
130 & 6133.00198114607 & 2970.27200910461 & 9295.73195318753 \tabularnewline
131 & 6133.00198114607 & 2596.9740637994 & 9669.02989849275 \tabularnewline
132 & 6133.00198114607 & 2259.48600874313 & 10006.517953549 \tabularnewline
133 & 6133.00198114607 & 1949.13313226154 & 10316.8708300306 \tabularnewline
134 & 6133.00198114607 & 1660.26332335797 & 10605.7406389342 \tabularnewline
135 & 6133.00198114607 & 1388.95058417768 & 10877.0533781145 \tabularnewline
136 & 6133.00198114607 & 1132.336404117 & 11133.6675581751 \tabularnewline
137 & 6133.00198114607 & 888.262829435174 & 11377.741132857 \tabularnewline
138 & 6133.00198114607 & 655.053339026942 & 11610.9506232652 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302543&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]6133.00198114607[/C][C]4551.55858746031[/C][C]7714.44537483183[/C][/ROW]
[ROW][C]128[/C][C]6133.00198114607[/C][C]3896.57720851498[/C][C]8369.42675377716[/C][/ROW]
[ROW][C]129[/C][C]6133.00198114607[/C][C]3393.98239015303[/C][C]8872.02157213911[/C][/ROW]
[ROW][C]130[/C][C]6133.00198114607[/C][C]2970.27200910461[/C][C]9295.73195318753[/C][/ROW]
[ROW][C]131[/C][C]6133.00198114607[/C][C]2596.9740637994[/C][C]9669.02989849275[/C][/ROW]
[ROW][C]132[/C][C]6133.00198114607[/C][C]2259.48600874313[/C][C]10006.517953549[/C][/ROW]
[ROW][C]133[/C][C]6133.00198114607[/C][C]1949.13313226154[/C][C]10316.8708300306[/C][/ROW]
[ROW][C]134[/C][C]6133.00198114607[/C][C]1660.26332335797[/C][C]10605.7406389342[/C][/ROW]
[ROW][C]135[/C][C]6133.00198114607[/C][C]1388.95058417768[/C][C]10877.0533781145[/C][/ROW]
[ROW][C]136[/C][C]6133.00198114607[/C][C]1132.336404117[/C][C]11133.6675581751[/C][/ROW]
[ROW][C]137[/C][C]6133.00198114607[/C][C]888.262829435174[/C][C]11377.741132857[/C][/ROW]
[ROW][C]138[/C][C]6133.00198114607[/C][C]655.053339026942[/C][C]11610.9506232652[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302543&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302543&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
1276133.001981146074551.558587460317714.44537483183
1286133.001981146073896.577208514988369.42675377716
1296133.001981146073393.982390153038872.02157213911
1306133.001981146072970.272009104619295.73195318753
1316133.001981146072596.97406379949669.02989849275
1326133.001981146072259.4860087431310006.517953549
1336133.001981146071949.1331322615410316.8708300306
1346133.001981146071660.2633233579710605.7406389342
1356133.001981146071388.9505841776810877.0533781145
1366133.001981146071132.33640411711133.6675581751
1376133.00198114607888.26282943517411377.741132857
1386133.00198114607655.05333902694211610.9506232652



Parameters (Session):
Parameters (R input):
par1 = 12 ; 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')