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 computationSat, 13 Dec 2014 10:56:25 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/13/t1418468203kfneg3zvt10lc6u.htm/, Retrieved Thu, 16 May 2024 18:17:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266967, Retrieved Thu, 16 May 2024 18:17:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-12-13 10:56:25] [a3e248f2ee98616f420122f2d0e2525c] [Current]
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Dataseries X:
1894
1757
3582
5321
5561
5907
4944
4966
3258
1964
1743
1262
2086
1793
3548
5672
6084
4914
4990
5139
3218
2179
2238
1442
2205
2025
3531
4977
7998
4880
5231
5202
3303
2683
2202
1376
2422
1997
3163
5964
5657
6415
6208
4500
2939
2702
2090
1504
2549
1931
3013
6204
5788
5611
5594
4647
3490
2487
1992
1507
2306
2002
3075
5331
5589
5813
4876
4665
3601
2192
2111
1580
2288
1993
3228
5000
5480
5770
4962
4685
3607
2222
2467
1594
2228
1910
3157
4809
6249
4607
4975
4784
3028
2461
2218
1351
2070
1887
3024
4596
6398
4459
5382
4359
2687
2249
2154
1169
2429
1762
2846
5627
5749
4502
5720
4403
2867
2635
2059
1511
2359
1741
2917
6249
5760
6250
5134
4831
3695
2462
2146
1579




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266967&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266967&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266967&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0605576698681678
beta0
gamma0.22022836263011

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0605576698681678 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.22022836263011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266967&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]0.0605576698681678[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.22022836263011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266967&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266967&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
alpha0.0605576698681678
beta0
gamma0.22022836263011







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1320862119.21688034188-33.2168803418817
1417931818.9853551231-25.9853551230995
1535483570.77508755449-22.775087554493
1656725690.00922630949-18.0092263094939
1760846075.240307849748.75969215025907
1849144881.5507860501332.4492139498652
1949904997.25417982434-7.25417982433828
2051395013.21989525238125.780104747618
2132183316.65852363335-98.6585236333503
2221792007.38067165116171.619328348841
2322381764.26188326865473.738116731351
2414421335.43870473398106.561295266021
2522052202.382851764482.61714823551847
2620251905.81749542133119.182504578668
2735313667.06243335992-136.06243335992
2849775780.42217225887-803.42217225887
2979986123.628746867721874.37125313228
3048805047.81748297984-167.817482979835
3152315143.178883799487.8211162005982
3252025192.425846353139.57415364687404
3333033442.39279093743-139.392790937428
3426832186.56645041366496.433549586339
3522022025.6235682945176.376431705498
3613761502.82696855001-126.826968550015
3724222334.1324696735887.8675303264226
3819972066.84609959623-69.8460995962319
3931633763.83580929691-600.835809296909
4059645710.97866710513253.021332894866
4156576672.17462412189-1015.17462412189
4264154998.866997128641416.13300287136
4362085243.03829028964964.96170971036
4445005329.2141847947-829.2141847947
4529393497.56601590996-558.566015909964
4627022347.90280703272354.097192967282
4720902112.12315882726-22.1231588272567
4815041514.57557517239-10.5755751723946
4925492397.3395310287151.660468971297
5019312101.28664861196-170.286648611964
5130133682.33647137716-669.336471377158
5262045801.98716920209402.012830797906
5357886509.82630133442-721.826301334423
5456115357.30088873698253.699111263024
5555945437.73423227427156.265767725734
5646475103.73702176829-456.737021768288
5734903350.64010127331139.359898726687
5824872432.0642357251954.9357642748141
5919922100.33114534157-108.331145341571
6015071499.952107800317.04789219969462
6123062417.34861446068-111.348614460683
6220022038.76028127756-36.760281277556
6330753524.64681056159-449.646810561588
6453315879.25483733853-548.25483733853
6555896297.0348209146-708.034820914596
6658135347.17284181427465.827158185728
6748765420.29400126586-544.294001265856
6846654917.04724473263-252.047244732634
6936013299.67345254651301.326547453485
7021922373.43924480525-181.439244805247
7121111993.61324231088117.38675768912
7215801430.77413710864149.225862891355
7322882332.28533853998-44.2853385399767
7419931973.1899190338719.8100809661316
7532283377.07936134479-149.079361344793
7650005729.4878557794-729.487855779398
7754806103.23561427559-623.235614275585
7857705401.37134951776368.628650482242
7949625259.62056231369-297.620562313687
8046854831.77524545239-146.775245452385
8136073335.26500572165271.734994278353
8222222307.35849645367-85.3584964536685
8324671995.17558353245471.824416467549
8415941460.38764831443133.612351685567
8522282320.91744217378-92.9174421737816
8619101972.13779546222-62.1377954622221
8731573336.12281681099-179.122816810991
8848095566.63016465286-757.630164652855
8962495960.65641290129288.343587098708
9046075519.20388934528-912.203889345283
9149755162.04733840636-187.047338406363
9247844772.1067444232711.8932555767306
9330283371.79145552705-343.791455527047
9424612232.73036717081228.269632829193
9522182054.81664446177163.183355538228
9613511431.36480729517-80.3648072951692
9720702232.06947574202-162.069475742015
9818871885.470200942931.52979905707161
9930243229.10753642311-205.107536423112
10045965338.35285698654-742.352856986544
10163985949.7077039138448.292296086202
10244595269.55781767985-810.557817679854
10353825068.58569356402313.414306435982
10443594750.11107741438-391.111077414376
10526873251.80251863772-564.802518637723
10622492217.7122899652131.287710034786
10721542014.40398093782139.596019062183
10811691339.1356206007-170.135620600701
10924292117.49994807752311.500051922476
11017621833.42629638641-71.4262963864094
11128463129.89400090277-283.894000902772
11256275123.21652055316503.78347944684
11357496056.36925418206-307.369254182061
11445025070.01244119127-568.012441191267
11557205116.26896769273603.73103230727
11644034669.61469866103-266.614698661026
11728673142.91000755349-275.910007553487
11826352249.64064407684385.359355923158
11920592090.18219489893-31.1821948989327
12015111340.49095311906170.509046880945
12123592239.13042137177119.869578628231
12217411864.22773560098-123.227735600983
12329173113.60063002798-196.600630027977
12462495275.17348089407973.826519105933
12557606068.97003917209-308.970039172089
12662505028.591336225491221.40866377451
12751345425.63520570334-291.635205703342
12848314744.6922085499886.3077914500182
12936953237.43655747034457.563442529659
13024622525.39587645325-63.3958764532454
13121462252.58280561356-106.582805613562
13215791540.0537519063638.9462480936359

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2086 & 2119.21688034188 & -33.2168803418817 \tabularnewline
14 & 1793 & 1818.9853551231 & -25.9853551230995 \tabularnewline
15 & 3548 & 3570.77508755449 & -22.775087554493 \tabularnewline
16 & 5672 & 5690.00922630949 & -18.0092263094939 \tabularnewline
17 & 6084 & 6075.24030784974 & 8.75969215025907 \tabularnewline
18 & 4914 & 4881.55078605013 & 32.4492139498652 \tabularnewline
19 & 4990 & 4997.25417982434 & -7.25417982433828 \tabularnewline
20 & 5139 & 5013.21989525238 & 125.780104747618 \tabularnewline
21 & 3218 & 3316.65852363335 & -98.6585236333503 \tabularnewline
22 & 2179 & 2007.38067165116 & 171.619328348841 \tabularnewline
23 & 2238 & 1764.26188326865 & 473.738116731351 \tabularnewline
24 & 1442 & 1335.43870473398 & 106.561295266021 \tabularnewline
25 & 2205 & 2202.38285176448 & 2.61714823551847 \tabularnewline
26 & 2025 & 1905.81749542133 & 119.182504578668 \tabularnewline
27 & 3531 & 3667.06243335992 & -136.06243335992 \tabularnewline
28 & 4977 & 5780.42217225887 & -803.42217225887 \tabularnewline
29 & 7998 & 6123.62874686772 & 1874.37125313228 \tabularnewline
30 & 4880 & 5047.81748297984 & -167.817482979835 \tabularnewline
31 & 5231 & 5143.1788837994 & 87.8211162005982 \tabularnewline
32 & 5202 & 5192.42584635313 & 9.57415364687404 \tabularnewline
33 & 3303 & 3442.39279093743 & -139.392790937428 \tabularnewline
34 & 2683 & 2186.56645041366 & 496.433549586339 \tabularnewline
35 & 2202 & 2025.6235682945 & 176.376431705498 \tabularnewline
36 & 1376 & 1502.82696855001 & -126.826968550015 \tabularnewline
37 & 2422 & 2334.13246967358 & 87.8675303264226 \tabularnewline
38 & 1997 & 2066.84609959623 & -69.8460995962319 \tabularnewline
39 & 3163 & 3763.83580929691 & -600.835809296909 \tabularnewline
40 & 5964 & 5710.97866710513 & 253.021332894866 \tabularnewline
41 & 5657 & 6672.17462412189 & -1015.17462412189 \tabularnewline
42 & 6415 & 4998.86699712864 & 1416.13300287136 \tabularnewline
43 & 6208 & 5243.03829028964 & 964.96170971036 \tabularnewline
44 & 4500 & 5329.2141847947 & -829.2141847947 \tabularnewline
45 & 2939 & 3497.56601590996 & -558.566015909964 \tabularnewline
46 & 2702 & 2347.90280703272 & 354.097192967282 \tabularnewline
47 & 2090 & 2112.12315882726 & -22.1231588272567 \tabularnewline
48 & 1504 & 1514.57557517239 & -10.5755751723946 \tabularnewline
49 & 2549 & 2397.3395310287 & 151.660468971297 \tabularnewline
50 & 1931 & 2101.28664861196 & -170.286648611964 \tabularnewline
51 & 3013 & 3682.33647137716 & -669.336471377158 \tabularnewline
52 & 6204 & 5801.98716920209 & 402.012830797906 \tabularnewline
53 & 5788 & 6509.82630133442 & -721.826301334423 \tabularnewline
54 & 5611 & 5357.30088873698 & 253.699111263024 \tabularnewline
55 & 5594 & 5437.73423227427 & 156.265767725734 \tabularnewline
56 & 4647 & 5103.73702176829 & -456.737021768288 \tabularnewline
57 & 3490 & 3350.64010127331 & 139.359898726687 \tabularnewline
58 & 2487 & 2432.06423572519 & 54.9357642748141 \tabularnewline
59 & 1992 & 2100.33114534157 & -108.331145341571 \tabularnewline
60 & 1507 & 1499.95210780031 & 7.04789219969462 \tabularnewline
61 & 2306 & 2417.34861446068 & -111.348614460683 \tabularnewline
62 & 2002 & 2038.76028127756 & -36.760281277556 \tabularnewline
63 & 3075 & 3524.64681056159 & -449.646810561588 \tabularnewline
64 & 5331 & 5879.25483733853 & -548.25483733853 \tabularnewline
65 & 5589 & 6297.0348209146 & -708.034820914596 \tabularnewline
66 & 5813 & 5347.17284181427 & 465.827158185728 \tabularnewline
67 & 4876 & 5420.29400126586 & -544.294001265856 \tabularnewline
68 & 4665 & 4917.04724473263 & -252.047244732634 \tabularnewline
69 & 3601 & 3299.67345254651 & 301.326547453485 \tabularnewline
70 & 2192 & 2373.43924480525 & -181.439244805247 \tabularnewline
71 & 2111 & 1993.61324231088 & 117.38675768912 \tabularnewline
72 & 1580 & 1430.77413710864 & 149.225862891355 \tabularnewline
73 & 2288 & 2332.28533853998 & -44.2853385399767 \tabularnewline
74 & 1993 & 1973.18991903387 & 19.8100809661316 \tabularnewline
75 & 3228 & 3377.07936134479 & -149.079361344793 \tabularnewline
76 & 5000 & 5729.4878557794 & -729.487855779398 \tabularnewline
77 & 5480 & 6103.23561427559 & -623.235614275585 \tabularnewline
78 & 5770 & 5401.37134951776 & 368.628650482242 \tabularnewline
79 & 4962 & 5259.62056231369 & -297.620562313687 \tabularnewline
80 & 4685 & 4831.77524545239 & -146.775245452385 \tabularnewline
81 & 3607 & 3335.26500572165 & 271.734994278353 \tabularnewline
82 & 2222 & 2307.35849645367 & -85.3584964536685 \tabularnewline
83 & 2467 & 1995.17558353245 & 471.824416467549 \tabularnewline
84 & 1594 & 1460.38764831443 & 133.612351685567 \tabularnewline
85 & 2228 & 2320.91744217378 & -92.9174421737816 \tabularnewline
86 & 1910 & 1972.13779546222 & -62.1377954622221 \tabularnewline
87 & 3157 & 3336.12281681099 & -179.122816810991 \tabularnewline
88 & 4809 & 5566.63016465286 & -757.630164652855 \tabularnewline
89 & 6249 & 5960.65641290129 & 288.343587098708 \tabularnewline
90 & 4607 & 5519.20388934528 & -912.203889345283 \tabularnewline
91 & 4975 & 5162.04733840636 & -187.047338406363 \tabularnewline
92 & 4784 & 4772.10674442327 & 11.8932555767306 \tabularnewline
93 & 3028 & 3371.79145552705 & -343.791455527047 \tabularnewline
94 & 2461 & 2232.73036717081 & 228.269632829193 \tabularnewline
95 & 2218 & 2054.81664446177 & 163.183355538228 \tabularnewline
96 & 1351 & 1431.36480729517 & -80.3648072951692 \tabularnewline
97 & 2070 & 2232.06947574202 & -162.069475742015 \tabularnewline
98 & 1887 & 1885.47020094293 & 1.52979905707161 \tabularnewline
99 & 3024 & 3229.10753642311 & -205.107536423112 \tabularnewline
100 & 4596 & 5338.35285698654 & -742.352856986544 \tabularnewline
101 & 6398 & 5949.7077039138 & 448.292296086202 \tabularnewline
102 & 4459 & 5269.55781767985 & -810.557817679854 \tabularnewline
103 & 5382 & 5068.58569356402 & 313.414306435982 \tabularnewline
104 & 4359 & 4750.11107741438 & -391.111077414376 \tabularnewline
105 & 2687 & 3251.80251863772 & -564.802518637723 \tabularnewline
106 & 2249 & 2217.71228996521 & 31.287710034786 \tabularnewline
107 & 2154 & 2014.40398093782 & 139.596019062183 \tabularnewline
108 & 1169 & 1339.1356206007 & -170.135620600701 \tabularnewline
109 & 2429 & 2117.49994807752 & 311.500051922476 \tabularnewline
110 & 1762 & 1833.42629638641 & -71.4262963864094 \tabularnewline
111 & 2846 & 3129.89400090277 & -283.894000902772 \tabularnewline
112 & 5627 & 5123.21652055316 & 503.78347944684 \tabularnewline
113 & 5749 & 6056.36925418206 & -307.369254182061 \tabularnewline
114 & 4502 & 5070.01244119127 & -568.012441191267 \tabularnewline
115 & 5720 & 5116.26896769273 & 603.73103230727 \tabularnewline
116 & 4403 & 4669.61469866103 & -266.614698661026 \tabularnewline
117 & 2867 & 3142.91000755349 & -275.910007553487 \tabularnewline
118 & 2635 & 2249.64064407684 & 385.359355923158 \tabularnewline
119 & 2059 & 2090.18219489893 & -31.1821948989327 \tabularnewline
120 & 1511 & 1340.49095311906 & 170.509046880945 \tabularnewline
121 & 2359 & 2239.13042137177 & 119.869578628231 \tabularnewline
122 & 1741 & 1864.22773560098 & -123.227735600983 \tabularnewline
123 & 2917 & 3113.60063002798 & -196.600630027977 \tabularnewline
124 & 6249 & 5275.17348089407 & 973.826519105933 \tabularnewline
125 & 5760 & 6068.97003917209 & -308.970039172089 \tabularnewline
126 & 6250 & 5028.59133622549 & 1221.40866377451 \tabularnewline
127 & 5134 & 5425.63520570334 & -291.635205703342 \tabularnewline
128 & 4831 & 4744.69220854998 & 86.3077914500182 \tabularnewline
129 & 3695 & 3237.43655747034 & 457.563442529659 \tabularnewline
130 & 2462 & 2525.39587645325 & -63.3958764532454 \tabularnewline
131 & 2146 & 2252.58280561356 & -106.582805613562 \tabularnewline
132 & 1579 & 1540.05375190636 & 38.9462480936359 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266967&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]2086[/C][C]2119.21688034188[/C][C]-33.2168803418817[/C][/ROW]
[ROW][C]14[/C][C]1793[/C][C]1818.9853551231[/C][C]-25.9853551230995[/C][/ROW]
[ROW][C]15[/C][C]3548[/C][C]3570.77508755449[/C][C]-22.775087554493[/C][/ROW]
[ROW][C]16[/C][C]5672[/C][C]5690.00922630949[/C][C]-18.0092263094939[/C][/ROW]
[ROW][C]17[/C][C]6084[/C][C]6075.24030784974[/C][C]8.75969215025907[/C][/ROW]
[ROW][C]18[/C][C]4914[/C][C]4881.55078605013[/C][C]32.4492139498652[/C][/ROW]
[ROW][C]19[/C][C]4990[/C][C]4997.25417982434[/C][C]-7.25417982433828[/C][/ROW]
[ROW][C]20[/C][C]5139[/C][C]5013.21989525238[/C][C]125.780104747618[/C][/ROW]
[ROW][C]21[/C][C]3218[/C][C]3316.65852363335[/C][C]-98.6585236333503[/C][/ROW]
[ROW][C]22[/C][C]2179[/C][C]2007.38067165116[/C][C]171.619328348841[/C][/ROW]
[ROW][C]23[/C][C]2238[/C][C]1764.26188326865[/C][C]473.738116731351[/C][/ROW]
[ROW][C]24[/C][C]1442[/C][C]1335.43870473398[/C][C]106.561295266021[/C][/ROW]
[ROW][C]25[/C][C]2205[/C][C]2202.38285176448[/C][C]2.61714823551847[/C][/ROW]
[ROW][C]26[/C][C]2025[/C][C]1905.81749542133[/C][C]119.182504578668[/C][/ROW]
[ROW][C]27[/C][C]3531[/C][C]3667.06243335992[/C][C]-136.06243335992[/C][/ROW]
[ROW][C]28[/C][C]4977[/C][C]5780.42217225887[/C][C]-803.42217225887[/C][/ROW]
[ROW][C]29[/C][C]7998[/C][C]6123.62874686772[/C][C]1874.37125313228[/C][/ROW]
[ROW][C]30[/C][C]4880[/C][C]5047.81748297984[/C][C]-167.817482979835[/C][/ROW]
[ROW][C]31[/C][C]5231[/C][C]5143.1788837994[/C][C]87.8211162005982[/C][/ROW]
[ROW][C]32[/C][C]5202[/C][C]5192.42584635313[/C][C]9.57415364687404[/C][/ROW]
[ROW][C]33[/C][C]3303[/C][C]3442.39279093743[/C][C]-139.392790937428[/C][/ROW]
[ROW][C]34[/C][C]2683[/C][C]2186.56645041366[/C][C]496.433549586339[/C][/ROW]
[ROW][C]35[/C][C]2202[/C][C]2025.6235682945[/C][C]176.376431705498[/C][/ROW]
[ROW][C]36[/C][C]1376[/C][C]1502.82696855001[/C][C]-126.826968550015[/C][/ROW]
[ROW][C]37[/C][C]2422[/C][C]2334.13246967358[/C][C]87.8675303264226[/C][/ROW]
[ROW][C]38[/C][C]1997[/C][C]2066.84609959623[/C][C]-69.8460995962319[/C][/ROW]
[ROW][C]39[/C][C]3163[/C][C]3763.83580929691[/C][C]-600.835809296909[/C][/ROW]
[ROW][C]40[/C][C]5964[/C][C]5710.97866710513[/C][C]253.021332894866[/C][/ROW]
[ROW][C]41[/C][C]5657[/C][C]6672.17462412189[/C][C]-1015.17462412189[/C][/ROW]
[ROW][C]42[/C][C]6415[/C][C]4998.86699712864[/C][C]1416.13300287136[/C][/ROW]
[ROW][C]43[/C][C]6208[/C][C]5243.03829028964[/C][C]964.96170971036[/C][/ROW]
[ROW][C]44[/C][C]4500[/C][C]5329.2141847947[/C][C]-829.2141847947[/C][/ROW]
[ROW][C]45[/C][C]2939[/C][C]3497.56601590996[/C][C]-558.566015909964[/C][/ROW]
[ROW][C]46[/C][C]2702[/C][C]2347.90280703272[/C][C]354.097192967282[/C][/ROW]
[ROW][C]47[/C][C]2090[/C][C]2112.12315882726[/C][C]-22.1231588272567[/C][/ROW]
[ROW][C]48[/C][C]1504[/C][C]1514.57557517239[/C][C]-10.5755751723946[/C][/ROW]
[ROW][C]49[/C][C]2549[/C][C]2397.3395310287[/C][C]151.660468971297[/C][/ROW]
[ROW][C]50[/C][C]1931[/C][C]2101.28664861196[/C][C]-170.286648611964[/C][/ROW]
[ROW][C]51[/C][C]3013[/C][C]3682.33647137716[/C][C]-669.336471377158[/C][/ROW]
[ROW][C]52[/C][C]6204[/C][C]5801.98716920209[/C][C]402.012830797906[/C][/ROW]
[ROW][C]53[/C][C]5788[/C][C]6509.82630133442[/C][C]-721.826301334423[/C][/ROW]
[ROW][C]54[/C][C]5611[/C][C]5357.30088873698[/C][C]253.699111263024[/C][/ROW]
[ROW][C]55[/C][C]5594[/C][C]5437.73423227427[/C][C]156.265767725734[/C][/ROW]
[ROW][C]56[/C][C]4647[/C][C]5103.73702176829[/C][C]-456.737021768288[/C][/ROW]
[ROW][C]57[/C][C]3490[/C][C]3350.64010127331[/C][C]139.359898726687[/C][/ROW]
[ROW][C]58[/C][C]2487[/C][C]2432.06423572519[/C][C]54.9357642748141[/C][/ROW]
[ROW][C]59[/C][C]1992[/C][C]2100.33114534157[/C][C]-108.331145341571[/C][/ROW]
[ROW][C]60[/C][C]1507[/C][C]1499.95210780031[/C][C]7.04789219969462[/C][/ROW]
[ROW][C]61[/C][C]2306[/C][C]2417.34861446068[/C][C]-111.348614460683[/C][/ROW]
[ROW][C]62[/C][C]2002[/C][C]2038.76028127756[/C][C]-36.760281277556[/C][/ROW]
[ROW][C]63[/C][C]3075[/C][C]3524.64681056159[/C][C]-449.646810561588[/C][/ROW]
[ROW][C]64[/C][C]5331[/C][C]5879.25483733853[/C][C]-548.25483733853[/C][/ROW]
[ROW][C]65[/C][C]5589[/C][C]6297.0348209146[/C][C]-708.034820914596[/C][/ROW]
[ROW][C]66[/C][C]5813[/C][C]5347.17284181427[/C][C]465.827158185728[/C][/ROW]
[ROW][C]67[/C][C]4876[/C][C]5420.29400126586[/C][C]-544.294001265856[/C][/ROW]
[ROW][C]68[/C][C]4665[/C][C]4917.04724473263[/C][C]-252.047244732634[/C][/ROW]
[ROW][C]69[/C][C]3601[/C][C]3299.67345254651[/C][C]301.326547453485[/C][/ROW]
[ROW][C]70[/C][C]2192[/C][C]2373.43924480525[/C][C]-181.439244805247[/C][/ROW]
[ROW][C]71[/C][C]2111[/C][C]1993.61324231088[/C][C]117.38675768912[/C][/ROW]
[ROW][C]72[/C][C]1580[/C][C]1430.77413710864[/C][C]149.225862891355[/C][/ROW]
[ROW][C]73[/C][C]2288[/C][C]2332.28533853998[/C][C]-44.2853385399767[/C][/ROW]
[ROW][C]74[/C][C]1993[/C][C]1973.18991903387[/C][C]19.8100809661316[/C][/ROW]
[ROW][C]75[/C][C]3228[/C][C]3377.07936134479[/C][C]-149.079361344793[/C][/ROW]
[ROW][C]76[/C][C]5000[/C][C]5729.4878557794[/C][C]-729.487855779398[/C][/ROW]
[ROW][C]77[/C][C]5480[/C][C]6103.23561427559[/C][C]-623.235614275585[/C][/ROW]
[ROW][C]78[/C][C]5770[/C][C]5401.37134951776[/C][C]368.628650482242[/C][/ROW]
[ROW][C]79[/C][C]4962[/C][C]5259.62056231369[/C][C]-297.620562313687[/C][/ROW]
[ROW][C]80[/C][C]4685[/C][C]4831.77524545239[/C][C]-146.775245452385[/C][/ROW]
[ROW][C]81[/C][C]3607[/C][C]3335.26500572165[/C][C]271.734994278353[/C][/ROW]
[ROW][C]82[/C][C]2222[/C][C]2307.35849645367[/C][C]-85.3584964536685[/C][/ROW]
[ROW][C]83[/C][C]2467[/C][C]1995.17558353245[/C][C]471.824416467549[/C][/ROW]
[ROW][C]84[/C][C]1594[/C][C]1460.38764831443[/C][C]133.612351685567[/C][/ROW]
[ROW][C]85[/C][C]2228[/C][C]2320.91744217378[/C][C]-92.9174421737816[/C][/ROW]
[ROW][C]86[/C][C]1910[/C][C]1972.13779546222[/C][C]-62.1377954622221[/C][/ROW]
[ROW][C]87[/C][C]3157[/C][C]3336.12281681099[/C][C]-179.122816810991[/C][/ROW]
[ROW][C]88[/C][C]4809[/C][C]5566.63016465286[/C][C]-757.630164652855[/C][/ROW]
[ROW][C]89[/C][C]6249[/C][C]5960.65641290129[/C][C]288.343587098708[/C][/ROW]
[ROW][C]90[/C][C]4607[/C][C]5519.20388934528[/C][C]-912.203889345283[/C][/ROW]
[ROW][C]91[/C][C]4975[/C][C]5162.04733840636[/C][C]-187.047338406363[/C][/ROW]
[ROW][C]92[/C][C]4784[/C][C]4772.10674442327[/C][C]11.8932555767306[/C][/ROW]
[ROW][C]93[/C][C]3028[/C][C]3371.79145552705[/C][C]-343.791455527047[/C][/ROW]
[ROW][C]94[/C][C]2461[/C][C]2232.73036717081[/C][C]228.269632829193[/C][/ROW]
[ROW][C]95[/C][C]2218[/C][C]2054.81664446177[/C][C]163.183355538228[/C][/ROW]
[ROW][C]96[/C][C]1351[/C][C]1431.36480729517[/C][C]-80.3648072951692[/C][/ROW]
[ROW][C]97[/C][C]2070[/C][C]2232.06947574202[/C][C]-162.069475742015[/C][/ROW]
[ROW][C]98[/C][C]1887[/C][C]1885.47020094293[/C][C]1.52979905707161[/C][/ROW]
[ROW][C]99[/C][C]3024[/C][C]3229.10753642311[/C][C]-205.107536423112[/C][/ROW]
[ROW][C]100[/C][C]4596[/C][C]5338.35285698654[/C][C]-742.352856986544[/C][/ROW]
[ROW][C]101[/C][C]6398[/C][C]5949.7077039138[/C][C]448.292296086202[/C][/ROW]
[ROW][C]102[/C][C]4459[/C][C]5269.55781767985[/C][C]-810.557817679854[/C][/ROW]
[ROW][C]103[/C][C]5382[/C][C]5068.58569356402[/C][C]313.414306435982[/C][/ROW]
[ROW][C]104[/C][C]4359[/C][C]4750.11107741438[/C][C]-391.111077414376[/C][/ROW]
[ROW][C]105[/C][C]2687[/C][C]3251.80251863772[/C][C]-564.802518637723[/C][/ROW]
[ROW][C]106[/C][C]2249[/C][C]2217.71228996521[/C][C]31.287710034786[/C][/ROW]
[ROW][C]107[/C][C]2154[/C][C]2014.40398093782[/C][C]139.596019062183[/C][/ROW]
[ROW][C]108[/C][C]1169[/C][C]1339.1356206007[/C][C]-170.135620600701[/C][/ROW]
[ROW][C]109[/C][C]2429[/C][C]2117.49994807752[/C][C]311.500051922476[/C][/ROW]
[ROW][C]110[/C][C]1762[/C][C]1833.42629638641[/C][C]-71.4262963864094[/C][/ROW]
[ROW][C]111[/C][C]2846[/C][C]3129.89400090277[/C][C]-283.894000902772[/C][/ROW]
[ROW][C]112[/C][C]5627[/C][C]5123.21652055316[/C][C]503.78347944684[/C][/ROW]
[ROW][C]113[/C][C]5749[/C][C]6056.36925418206[/C][C]-307.369254182061[/C][/ROW]
[ROW][C]114[/C][C]4502[/C][C]5070.01244119127[/C][C]-568.012441191267[/C][/ROW]
[ROW][C]115[/C][C]5720[/C][C]5116.26896769273[/C][C]603.73103230727[/C][/ROW]
[ROW][C]116[/C][C]4403[/C][C]4669.61469866103[/C][C]-266.614698661026[/C][/ROW]
[ROW][C]117[/C][C]2867[/C][C]3142.91000755349[/C][C]-275.910007553487[/C][/ROW]
[ROW][C]118[/C][C]2635[/C][C]2249.64064407684[/C][C]385.359355923158[/C][/ROW]
[ROW][C]119[/C][C]2059[/C][C]2090.18219489893[/C][C]-31.1821948989327[/C][/ROW]
[ROW][C]120[/C][C]1511[/C][C]1340.49095311906[/C][C]170.509046880945[/C][/ROW]
[ROW][C]121[/C][C]2359[/C][C]2239.13042137177[/C][C]119.869578628231[/C][/ROW]
[ROW][C]122[/C][C]1741[/C][C]1864.22773560098[/C][C]-123.227735600983[/C][/ROW]
[ROW][C]123[/C][C]2917[/C][C]3113.60063002798[/C][C]-196.600630027977[/C][/ROW]
[ROW][C]124[/C][C]6249[/C][C]5275.17348089407[/C][C]973.826519105933[/C][/ROW]
[ROW][C]125[/C][C]5760[/C][C]6068.97003917209[/C][C]-308.970039172089[/C][/ROW]
[ROW][C]126[/C][C]6250[/C][C]5028.59133622549[/C][C]1221.40866377451[/C][/ROW]
[ROW][C]127[/C][C]5134[/C][C]5425.63520570334[/C][C]-291.635205703342[/C][/ROW]
[ROW][C]128[/C][C]4831[/C][C]4744.69220854998[/C][C]86.3077914500182[/C][/ROW]
[ROW][C]129[/C][C]3695[/C][C]3237.43655747034[/C][C]457.563442529659[/C][/ROW]
[ROW][C]130[/C][C]2462[/C][C]2525.39587645325[/C][C]-63.3958764532454[/C][/ROW]
[ROW][C]131[/C][C]2146[/C][C]2252.58280561356[/C][C]-106.582805613562[/C][/ROW]
[ROW][C]132[/C][C]1579[/C][C]1540.05375190636[/C][C]38.9462480936359[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266967&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266967&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
1320862119.21688034188-33.2168803418817
1417931818.9853551231-25.9853551230995
1535483570.77508755449-22.775087554493
1656725690.00922630949-18.0092263094939
1760846075.240307849748.75969215025907
1849144881.5507860501332.4492139498652
1949904997.25417982434-7.25417982433828
2051395013.21989525238125.780104747618
2132183316.65852363335-98.6585236333503
2221792007.38067165116171.619328348841
2322381764.26188326865473.738116731351
2414421335.43870473398106.561295266021
2522052202.382851764482.61714823551847
2620251905.81749542133119.182504578668
2735313667.06243335992-136.06243335992
2849775780.42217225887-803.42217225887
2979986123.628746867721874.37125313228
3048805047.81748297984-167.817482979835
3152315143.178883799487.8211162005982
3252025192.425846353139.57415364687404
3333033442.39279093743-139.392790937428
3426832186.56645041366496.433549586339
3522022025.6235682945176.376431705498
3613761502.82696855001-126.826968550015
3724222334.1324696735887.8675303264226
3819972066.84609959623-69.8460995962319
3931633763.83580929691-600.835809296909
4059645710.97866710513253.021332894866
4156576672.17462412189-1015.17462412189
4264154998.866997128641416.13300287136
4362085243.03829028964964.96170971036
4445005329.2141847947-829.2141847947
4529393497.56601590996-558.566015909964
4627022347.90280703272354.097192967282
4720902112.12315882726-22.1231588272567
4815041514.57557517239-10.5755751723946
4925492397.3395310287151.660468971297
5019312101.28664861196-170.286648611964
5130133682.33647137716-669.336471377158
5262045801.98716920209402.012830797906
5357886509.82630133442-721.826301334423
5456115357.30088873698253.699111263024
5555945437.73423227427156.265767725734
5646475103.73702176829-456.737021768288
5734903350.64010127331139.359898726687
5824872432.0642357251954.9357642748141
5919922100.33114534157-108.331145341571
6015071499.952107800317.04789219969462
6123062417.34861446068-111.348614460683
6220022038.76028127756-36.760281277556
6330753524.64681056159-449.646810561588
6453315879.25483733853-548.25483733853
6555896297.0348209146-708.034820914596
6658135347.17284181427465.827158185728
6748765420.29400126586-544.294001265856
6846654917.04724473263-252.047244732634
6936013299.67345254651301.326547453485
7021922373.43924480525-181.439244805247
7121111993.61324231088117.38675768912
7215801430.77413710864149.225862891355
7322882332.28533853998-44.2853385399767
7419931973.1899190338719.8100809661316
7532283377.07936134479-149.079361344793
7650005729.4878557794-729.487855779398
7754806103.23561427559-623.235614275585
7857705401.37134951776368.628650482242
7949625259.62056231369-297.620562313687
8046854831.77524545239-146.775245452385
8136073335.26500572165271.734994278353
8222222307.35849645367-85.3584964536685
8324671995.17558353245471.824416467549
8415941460.38764831443133.612351685567
8522282320.91744217378-92.9174421737816
8619101972.13779546222-62.1377954622221
8731573336.12281681099-179.122816810991
8848095566.63016465286-757.630164652855
8962495960.65641290129288.343587098708
9046075519.20388934528-912.203889345283
9149755162.04733840636-187.047338406363
9247844772.1067444232711.8932555767306
9330283371.79145552705-343.791455527047
9424612232.73036717081228.269632829193
9522182054.81664446177163.183355538228
9613511431.36480729517-80.3648072951692
9720702232.06947574202-162.069475742015
9818871885.470200942931.52979905707161
9930243229.10753642311-205.107536423112
10045965338.35285698654-742.352856986544
10163985949.7077039138448.292296086202
10244595269.55781767985-810.557817679854
10353825068.58569356402313.414306435982
10443594750.11107741438-391.111077414376
10526873251.80251863772-564.802518637723
10622492217.7122899652131.287710034786
10721542014.40398093782139.596019062183
10811691339.1356206007-170.135620600701
10924292117.49994807752311.500051922476
11017621833.42629638641-71.4262963864094
11128463129.89400090277-283.894000902772
11256275123.21652055316503.78347944684
11357496056.36925418206-307.369254182061
11445025070.01244119127-568.012441191267
11557205116.26896769273603.73103230727
11644034669.61469866103-266.614698661026
11728673142.91000755349-275.910007553487
11826352249.64064407684385.359355923158
11920592090.18219489893-31.1821948989327
12015111340.49095311906170.509046880945
12123592239.13042137177119.869578628231
12217411864.22773560098-123.227735600983
12329173113.60063002798-196.600630027977
12462495275.17348089407973.826519105933
12557606068.97003917209-308.970039172089
12662505028.591336225491221.40866377451
12751345425.63520570334-291.635205703342
12848314744.6922085499886.3077914500182
12936953237.43655747034457.563442529659
13024622525.39587645325-63.3958764532454
13121462252.58280561356-106.582805613562
13215791540.0537519063638.9462480936359







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1332420.249190548311551.539490082583288.95889101404
1341987.792630272641117.491507763162858.09375278213
1353229.447655645372357.558015840374101.33729545037
1365645.078016229374771.602748029236518.55328442951
1376114.501761477055239.443738077856989.55978487625
1385409.456439323594532.818518358886286.0943602883
1395419.498206703734541.283230384526297.71318302293
1404834.409282479943954.620077732945714.19848722694
1413398.736799704232517.376178308334280.09742110013
1422551.204907517081668.275666238153434.13414879601
1432273.295919731121388.800840455153157.79099900708
1441597.33004696988711.2718968344572483.38819710531

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 2420.24919054831 & 1551.53949008258 & 3288.95889101404 \tabularnewline
134 & 1987.79263027264 & 1117.49150776316 & 2858.09375278213 \tabularnewline
135 & 3229.44765564537 & 2357.55801584037 & 4101.33729545037 \tabularnewline
136 & 5645.07801622937 & 4771.60274802923 & 6518.55328442951 \tabularnewline
137 & 6114.50176147705 & 5239.44373807785 & 6989.55978487625 \tabularnewline
138 & 5409.45643932359 & 4532.81851835888 & 6286.0943602883 \tabularnewline
139 & 5419.49820670373 & 4541.28323038452 & 6297.71318302293 \tabularnewline
140 & 4834.40928247994 & 3954.62007773294 & 5714.19848722694 \tabularnewline
141 & 3398.73679970423 & 2517.37617830833 & 4280.09742110013 \tabularnewline
142 & 2551.20490751708 & 1668.27566623815 & 3434.13414879601 \tabularnewline
143 & 2273.29591973112 & 1388.80084045515 & 3157.79099900708 \tabularnewline
144 & 1597.33004696988 & 711.271896834457 & 2483.38819710531 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266967&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]133[/C][C]2420.24919054831[/C][C]1551.53949008258[/C][C]3288.95889101404[/C][/ROW]
[ROW][C]134[/C][C]1987.79263027264[/C][C]1117.49150776316[/C][C]2858.09375278213[/C][/ROW]
[ROW][C]135[/C][C]3229.44765564537[/C][C]2357.55801584037[/C][C]4101.33729545037[/C][/ROW]
[ROW][C]136[/C][C]5645.07801622937[/C][C]4771.60274802923[/C][C]6518.55328442951[/C][/ROW]
[ROW][C]137[/C][C]6114.50176147705[/C][C]5239.44373807785[/C][C]6989.55978487625[/C][/ROW]
[ROW][C]138[/C][C]5409.45643932359[/C][C]4532.81851835888[/C][C]6286.0943602883[/C][/ROW]
[ROW][C]139[/C][C]5419.49820670373[/C][C]4541.28323038452[/C][C]6297.71318302293[/C][/ROW]
[ROW][C]140[/C][C]4834.40928247994[/C][C]3954.62007773294[/C][C]5714.19848722694[/C][/ROW]
[ROW][C]141[/C][C]3398.73679970423[/C][C]2517.37617830833[/C][C]4280.09742110013[/C][/ROW]
[ROW][C]142[/C][C]2551.20490751708[/C][C]1668.27566623815[/C][C]3434.13414879601[/C][/ROW]
[ROW][C]143[/C][C]2273.29591973112[/C][C]1388.80084045515[/C][C]3157.79099900708[/C][/ROW]
[ROW][C]144[/C][C]1597.33004696988[/C][C]711.271896834457[/C][C]2483.38819710531[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266967&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266967&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
1332420.249190548311551.539490082583288.95889101404
1341987.792630272641117.491507763162858.09375278213
1353229.447655645372357.558015840374101.33729545037
1365645.078016229374771.602748029236518.55328442951
1376114.501761477055239.443738077856989.55978487625
1385409.456439323594532.818518358886286.0943602883
1395419.498206703734541.283230384526297.71318302293
1404834.409282479943954.620077732945714.19848722694
1413398.736799704232517.376178308334280.09742110013
1422551.204907517081668.275666238153434.13414879601
1432273.295919731121388.800840455153157.79099900708
1441597.33004696988711.2718968344572483.38819710531



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')