Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 17 Aug 2013 14:17:26 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/17/t1376763557drepvzizng8pimi.htm/, Retrieved Sun, 28 Apr 2024 22:14:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211151, Retrieved Sun, 28 Apr 2024 22:14:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [single exponentia...] [2013-08-17 18:17:26] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [Current]
- R P     [Exponential Smoothing] [exponential smoot...] [2013-08-19 19:18:40] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
42364
42206
42046
41715
44991
44818
42364
40733
40891
40891
41067
41382
41873
41873
41558
40733
44991
45640
44660
42364
43346
41873
42538
42855
43186
42364
42538
41382
44991
46131
45151
43346
45309
43186
45151
44991
45482
43678
45640
45482
48426
47762
45151
43835
45640
43186
44991
45309
45973
44502
45309
45800
47604
46131
44169
42046
44011
38611
41224
42695
44169
42046
42046
42046
43186
41558
39420
37631
38929
33862
36967
38771
39102
37298
37455
36967
38611
37455
35178
33531
36315
30269
34195
35984
35984
33862
31900
31742
33531
31900
28798
26660
28956
23558
28464
31075
31900
30096
27816
29447
30096
29604
24696
22418
24047
19140
24207
26011
27482
25029
22733
24047
24696
23398
18491
16353
18316
12918
18807
22418




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211151&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]3 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=211151&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211151&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.698186625912078
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.698186625912078 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211151&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]0.698186625912078[/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=211151&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211151&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
alpha0.698186625912078
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
24220642364-158
34204642253.6865131059-207.686513105895
44171542108.682567273-393.682567273048
54499141833.81866394833157.18133605173
64481844038.1204483588779.879551641185
74236444582.621921137-2218.621921137
84073343033.6097678438-2300.60976784379
94089141427.3547964926-536.35479649256
104089141052.8790508377-161.879050837662
114106740939.8572625275127.142737472532
124138241028.6266214126353.373378587363
134187341275.3471882957597.652811704298
144187341692.6203883664180.379611633609
154155841818.5590207962-260.559020796194
164073341636.6401972155-903.640197215544
174499141005.73069688313985.2693031169
184564043788.19242497731851.80757502274
194466045081.0997076208-421.099707620815
204236444787.0935235845-2423.09352358447
214334643095.3220320836250.677967916381
224187343270.3420366937-1397.34203669366
234253842294.7365148494243.263485150601
244285542464.5798267543390.420173245693
254318642737.1659702007448.834029799276
264236443050.5358870608-686.535887060803
274253842571.2057125063-33.2057125062638
284138242548.0219281305-1166.02192813051
294499141733.92101238963257.07898761042
304613144007.97000107842123.02999892157
314515145490.2411527356-339.241152735602
324334645253.3875169366-1907.38751693661
334530943921.67506217981387.32493782018
344318644890.2867795602-1704.28677956018
354515143700.37654335251450.6234566475
364499144713.1824400181277.817559981864
374548244907.150944841574.849055159
384367845308.5028670712-1630.50286707121
394564044170.10757177081469.89242822921
404548245196.3668066899285.633193310146
414842645395.79208217563030.20791782445
424776247511.4427241335250.557275866529
434515147686.3784631684-2535.37846316845
444383545916.2111285587-2081.21112855872
454564044463.13735289961176.86264710036
464318645284.8071136406-2098.8071136406
474499143819.44805652761171.5519434724
484530944637.4099550213671.590044978664
494597345106.3051425211866.694857478869
504450245711.4199007597-1209.41990075965
514530944867.0191009374441.980899062648
524580045175.6042535715624.395746428512
534760445611.54901300431992.45098699573
544613147002.65164491-871.651644910009
554416946394.0761239796-2225.07612397958
564204644840.5577325808-2794.55773258075
574401142889.43489835371121.56510164631
583861143672.4966524129-5061.49665241286
594122440138.62738259941085.37261740056
604269540896.42002819971798.5799718003
614416942152.1645101442016.83548985601
624204643560.2920758263-1514.29207582629
634204642503.0336007597-457.033600759736
644204642183.9388531169-137.938853116852
654318642087.6317906771098.36820932299
664155842854.4977847533-1296.49778475332
673942041949.3003709139-2529.30037091392
683763140183.3766790274-2552.37667902736
693892938401.3414174406527.65858255943
703386238769.7455828313-4907.74558283129
713696735343.22325351941623.77674648059
723877136476.92246137922294.07753862082
733910238078.61671764951023.38328235046
743729838793.1292385686-1495.12923856863
753745537749.2500001899-294.250000189902
763696737543.8085853827-576.808585382685
773861137141.08854535721469.91145464277
783745538167.3610642638-712.36106426378
793517837670.0000963743-2492.00009637432
803353135930.1189573142-2399.11895731416
813631534255.08618734532059.91381265472
823026935693.2904618724-5424.29046187236
833419531906.12340633062288.87659366937
843598433504.18643239382479.81356760622
853598435235.5591000518748.44089994824
863386235758.1105266812-1896.11052668122
873190034434.2715157013-2534.27151570129
883174232664.8770370087-922.877037008715
893353132020.53663240791510.46336759214
903190033075.1219545908-1175.12195459081
912879832254.6675220798-3456.66752207985
922666029841.2684879391-3181.26848793905
932895627620.14937622451335.85062377553
942355828552.8224159609-4994.82241596085
952846425065.50420633113398.49579366887
963107527438.28851768923636.71148231081
973190029977.39183693951922.60816306051
983009631319.7311432577-1223.73114325773
992781630465.3384253231-2649.33842532308
1002944728615.6057692475831.394230752459
1013009629196.0741020194899.925897980633
1022960429824.3903283014-220.390328301364
1032469629670.516748601-4974.51674860098
1042241826197.3756843521-3779.37568435214
1052404723558.6661272402488.333872759835
1061914023899.6143061809-4759.61430618093
1072420720576.51525310563630.48474689439
1082601123111.27114896512899.72885103493
1092748225135.82305152912346.17694847094
1102502926773.8924189747-1744.89241897468
1112273325555.6318683912-2822.63186839118
1122404723584.9080480072462.091951992763
1132469623907.5344688302788.465531169808
1142339824458.0305576856-1060.03055768562
1151849123717.9313992514-5226.9313992514
1161635320068.5578017342-3715.55780173416
1171831617474.4050367601841.59496323991
1181291818061.9953845292-5143.99538452916
1191880714470.52660329744336.47339670256
1202241817498.19433249874919.80566750131

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 42206 & 42364 & -158 \tabularnewline
3 & 42046 & 42253.6865131059 & -207.686513105895 \tabularnewline
4 & 41715 & 42108.682567273 & -393.682567273048 \tabularnewline
5 & 44991 & 41833.8186639483 & 3157.18133605173 \tabularnewline
6 & 44818 & 44038.1204483588 & 779.879551641185 \tabularnewline
7 & 42364 & 44582.621921137 & -2218.621921137 \tabularnewline
8 & 40733 & 43033.6097678438 & -2300.60976784379 \tabularnewline
9 & 40891 & 41427.3547964926 & -536.35479649256 \tabularnewline
10 & 40891 & 41052.8790508377 & -161.879050837662 \tabularnewline
11 & 41067 & 40939.8572625275 & 127.142737472532 \tabularnewline
12 & 41382 & 41028.6266214126 & 353.373378587363 \tabularnewline
13 & 41873 & 41275.3471882957 & 597.652811704298 \tabularnewline
14 & 41873 & 41692.6203883664 & 180.379611633609 \tabularnewline
15 & 41558 & 41818.5590207962 & -260.559020796194 \tabularnewline
16 & 40733 & 41636.6401972155 & -903.640197215544 \tabularnewline
17 & 44991 & 41005.7306968831 & 3985.2693031169 \tabularnewline
18 & 45640 & 43788.1924249773 & 1851.80757502274 \tabularnewline
19 & 44660 & 45081.0997076208 & -421.099707620815 \tabularnewline
20 & 42364 & 44787.0935235845 & -2423.09352358447 \tabularnewline
21 & 43346 & 43095.3220320836 & 250.677967916381 \tabularnewline
22 & 41873 & 43270.3420366937 & -1397.34203669366 \tabularnewline
23 & 42538 & 42294.7365148494 & 243.263485150601 \tabularnewline
24 & 42855 & 42464.5798267543 & 390.420173245693 \tabularnewline
25 & 43186 & 42737.1659702007 & 448.834029799276 \tabularnewline
26 & 42364 & 43050.5358870608 & -686.535887060803 \tabularnewline
27 & 42538 & 42571.2057125063 & -33.2057125062638 \tabularnewline
28 & 41382 & 42548.0219281305 & -1166.02192813051 \tabularnewline
29 & 44991 & 41733.9210123896 & 3257.07898761042 \tabularnewline
30 & 46131 & 44007.9700010784 & 2123.02999892157 \tabularnewline
31 & 45151 & 45490.2411527356 & -339.241152735602 \tabularnewline
32 & 43346 & 45253.3875169366 & -1907.38751693661 \tabularnewline
33 & 45309 & 43921.6750621798 & 1387.32493782018 \tabularnewline
34 & 43186 & 44890.2867795602 & -1704.28677956018 \tabularnewline
35 & 45151 & 43700.3765433525 & 1450.6234566475 \tabularnewline
36 & 44991 & 44713.1824400181 & 277.817559981864 \tabularnewline
37 & 45482 & 44907.150944841 & 574.849055159 \tabularnewline
38 & 43678 & 45308.5028670712 & -1630.50286707121 \tabularnewline
39 & 45640 & 44170.1075717708 & 1469.89242822921 \tabularnewline
40 & 45482 & 45196.3668066899 & 285.633193310146 \tabularnewline
41 & 48426 & 45395.7920821756 & 3030.20791782445 \tabularnewline
42 & 47762 & 47511.4427241335 & 250.557275866529 \tabularnewline
43 & 45151 & 47686.3784631684 & -2535.37846316845 \tabularnewline
44 & 43835 & 45916.2111285587 & -2081.21112855872 \tabularnewline
45 & 45640 & 44463.1373528996 & 1176.86264710036 \tabularnewline
46 & 43186 & 45284.8071136406 & -2098.8071136406 \tabularnewline
47 & 44991 & 43819.4480565276 & 1171.5519434724 \tabularnewline
48 & 45309 & 44637.4099550213 & 671.590044978664 \tabularnewline
49 & 45973 & 45106.3051425211 & 866.694857478869 \tabularnewline
50 & 44502 & 45711.4199007597 & -1209.41990075965 \tabularnewline
51 & 45309 & 44867.0191009374 & 441.980899062648 \tabularnewline
52 & 45800 & 45175.6042535715 & 624.395746428512 \tabularnewline
53 & 47604 & 45611.5490130043 & 1992.45098699573 \tabularnewline
54 & 46131 & 47002.65164491 & -871.651644910009 \tabularnewline
55 & 44169 & 46394.0761239796 & -2225.07612397958 \tabularnewline
56 & 42046 & 44840.5577325808 & -2794.55773258075 \tabularnewline
57 & 44011 & 42889.4348983537 & 1121.56510164631 \tabularnewline
58 & 38611 & 43672.4966524129 & -5061.49665241286 \tabularnewline
59 & 41224 & 40138.6273825994 & 1085.37261740056 \tabularnewline
60 & 42695 & 40896.4200281997 & 1798.5799718003 \tabularnewline
61 & 44169 & 42152.164510144 & 2016.83548985601 \tabularnewline
62 & 42046 & 43560.2920758263 & -1514.29207582629 \tabularnewline
63 & 42046 & 42503.0336007597 & -457.033600759736 \tabularnewline
64 & 42046 & 42183.9388531169 & -137.938853116852 \tabularnewline
65 & 43186 & 42087.631790677 & 1098.36820932299 \tabularnewline
66 & 41558 & 42854.4977847533 & -1296.49778475332 \tabularnewline
67 & 39420 & 41949.3003709139 & -2529.30037091392 \tabularnewline
68 & 37631 & 40183.3766790274 & -2552.37667902736 \tabularnewline
69 & 38929 & 38401.3414174406 & 527.65858255943 \tabularnewline
70 & 33862 & 38769.7455828313 & -4907.74558283129 \tabularnewline
71 & 36967 & 35343.2232535194 & 1623.77674648059 \tabularnewline
72 & 38771 & 36476.9224613792 & 2294.07753862082 \tabularnewline
73 & 39102 & 38078.6167176495 & 1023.38328235046 \tabularnewline
74 & 37298 & 38793.1292385686 & -1495.12923856863 \tabularnewline
75 & 37455 & 37749.2500001899 & -294.250000189902 \tabularnewline
76 & 36967 & 37543.8085853827 & -576.808585382685 \tabularnewline
77 & 38611 & 37141.0885453572 & 1469.91145464277 \tabularnewline
78 & 37455 & 38167.3610642638 & -712.36106426378 \tabularnewline
79 & 35178 & 37670.0000963743 & -2492.00009637432 \tabularnewline
80 & 33531 & 35930.1189573142 & -2399.11895731416 \tabularnewline
81 & 36315 & 34255.0861873453 & 2059.91381265472 \tabularnewline
82 & 30269 & 35693.2904618724 & -5424.29046187236 \tabularnewline
83 & 34195 & 31906.1234063306 & 2288.87659366937 \tabularnewline
84 & 35984 & 33504.1864323938 & 2479.81356760622 \tabularnewline
85 & 35984 & 35235.5591000518 & 748.44089994824 \tabularnewline
86 & 33862 & 35758.1105266812 & -1896.11052668122 \tabularnewline
87 & 31900 & 34434.2715157013 & -2534.27151570129 \tabularnewline
88 & 31742 & 32664.8770370087 & -922.877037008715 \tabularnewline
89 & 33531 & 32020.5366324079 & 1510.46336759214 \tabularnewline
90 & 31900 & 33075.1219545908 & -1175.12195459081 \tabularnewline
91 & 28798 & 32254.6675220798 & -3456.66752207985 \tabularnewline
92 & 26660 & 29841.2684879391 & -3181.26848793905 \tabularnewline
93 & 28956 & 27620.1493762245 & 1335.85062377553 \tabularnewline
94 & 23558 & 28552.8224159609 & -4994.82241596085 \tabularnewline
95 & 28464 & 25065.5042063311 & 3398.49579366887 \tabularnewline
96 & 31075 & 27438.2885176892 & 3636.71148231081 \tabularnewline
97 & 31900 & 29977.3918369395 & 1922.60816306051 \tabularnewline
98 & 30096 & 31319.7311432577 & -1223.73114325773 \tabularnewline
99 & 27816 & 30465.3384253231 & -2649.33842532308 \tabularnewline
100 & 29447 & 28615.6057692475 & 831.394230752459 \tabularnewline
101 & 30096 & 29196.0741020194 & 899.925897980633 \tabularnewline
102 & 29604 & 29824.3903283014 & -220.390328301364 \tabularnewline
103 & 24696 & 29670.516748601 & -4974.51674860098 \tabularnewline
104 & 22418 & 26197.3756843521 & -3779.37568435214 \tabularnewline
105 & 24047 & 23558.6661272402 & 488.333872759835 \tabularnewline
106 & 19140 & 23899.6143061809 & -4759.61430618093 \tabularnewline
107 & 24207 & 20576.5152531056 & 3630.48474689439 \tabularnewline
108 & 26011 & 23111.2711489651 & 2899.72885103493 \tabularnewline
109 & 27482 & 25135.8230515291 & 2346.17694847094 \tabularnewline
110 & 25029 & 26773.8924189747 & -1744.89241897468 \tabularnewline
111 & 22733 & 25555.6318683912 & -2822.63186839118 \tabularnewline
112 & 24047 & 23584.9080480072 & 462.091951992763 \tabularnewline
113 & 24696 & 23907.5344688302 & 788.465531169808 \tabularnewline
114 & 23398 & 24458.0305576856 & -1060.03055768562 \tabularnewline
115 & 18491 & 23717.9313992514 & -5226.9313992514 \tabularnewline
116 & 16353 & 20068.5578017342 & -3715.55780173416 \tabularnewline
117 & 18316 & 17474.4050367601 & 841.59496323991 \tabularnewline
118 & 12918 & 18061.9953845292 & -5143.99538452916 \tabularnewline
119 & 18807 & 14470.5266032974 & 4336.47339670256 \tabularnewline
120 & 22418 & 17498.1943324987 & 4919.80566750131 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211151&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]42206[/C][C]42364[/C][C]-158[/C][/ROW]
[ROW][C]3[/C][C]42046[/C][C]42253.6865131059[/C][C]-207.686513105895[/C][/ROW]
[ROW][C]4[/C][C]41715[/C][C]42108.682567273[/C][C]-393.682567273048[/C][/ROW]
[ROW][C]5[/C][C]44991[/C][C]41833.8186639483[/C][C]3157.18133605173[/C][/ROW]
[ROW][C]6[/C][C]44818[/C][C]44038.1204483588[/C][C]779.879551641185[/C][/ROW]
[ROW][C]7[/C][C]42364[/C][C]44582.621921137[/C][C]-2218.621921137[/C][/ROW]
[ROW][C]8[/C][C]40733[/C][C]43033.6097678438[/C][C]-2300.60976784379[/C][/ROW]
[ROW][C]9[/C][C]40891[/C][C]41427.3547964926[/C][C]-536.35479649256[/C][/ROW]
[ROW][C]10[/C][C]40891[/C][C]41052.8790508377[/C][C]-161.879050837662[/C][/ROW]
[ROW][C]11[/C][C]41067[/C][C]40939.8572625275[/C][C]127.142737472532[/C][/ROW]
[ROW][C]12[/C][C]41382[/C][C]41028.6266214126[/C][C]353.373378587363[/C][/ROW]
[ROW][C]13[/C][C]41873[/C][C]41275.3471882957[/C][C]597.652811704298[/C][/ROW]
[ROW][C]14[/C][C]41873[/C][C]41692.6203883664[/C][C]180.379611633609[/C][/ROW]
[ROW][C]15[/C][C]41558[/C][C]41818.5590207962[/C][C]-260.559020796194[/C][/ROW]
[ROW][C]16[/C][C]40733[/C][C]41636.6401972155[/C][C]-903.640197215544[/C][/ROW]
[ROW][C]17[/C][C]44991[/C][C]41005.7306968831[/C][C]3985.2693031169[/C][/ROW]
[ROW][C]18[/C][C]45640[/C][C]43788.1924249773[/C][C]1851.80757502274[/C][/ROW]
[ROW][C]19[/C][C]44660[/C][C]45081.0997076208[/C][C]-421.099707620815[/C][/ROW]
[ROW][C]20[/C][C]42364[/C][C]44787.0935235845[/C][C]-2423.09352358447[/C][/ROW]
[ROW][C]21[/C][C]43346[/C][C]43095.3220320836[/C][C]250.677967916381[/C][/ROW]
[ROW][C]22[/C][C]41873[/C][C]43270.3420366937[/C][C]-1397.34203669366[/C][/ROW]
[ROW][C]23[/C][C]42538[/C][C]42294.7365148494[/C][C]243.263485150601[/C][/ROW]
[ROW][C]24[/C][C]42855[/C][C]42464.5798267543[/C][C]390.420173245693[/C][/ROW]
[ROW][C]25[/C][C]43186[/C][C]42737.1659702007[/C][C]448.834029799276[/C][/ROW]
[ROW][C]26[/C][C]42364[/C][C]43050.5358870608[/C][C]-686.535887060803[/C][/ROW]
[ROW][C]27[/C][C]42538[/C][C]42571.2057125063[/C][C]-33.2057125062638[/C][/ROW]
[ROW][C]28[/C][C]41382[/C][C]42548.0219281305[/C][C]-1166.02192813051[/C][/ROW]
[ROW][C]29[/C][C]44991[/C][C]41733.9210123896[/C][C]3257.07898761042[/C][/ROW]
[ROW][C]30[/C][C]46131[/C][C]44007.9700010784[/C][C]2123.02999892157[/C][/ROW]
[ROW][C]31[/C][C]45151[/C][C]45490.2411527356[/C][C]-339.241152735602[/C][/ROW]
[ROW][C]32[/C][C]43346[/C][C]45253.3875169366[/C][C]-1907.38751693661[/C][/ROW]
[ROW][C]33[/C][C]45309[/C][C]43921.6750621798[/C][C]1387.32493782018[/C][/ROW]
[ROW][C]34[/C][C]43186[/C][C]44890.2867795602[/C][C]-1704.28677956018[/C][/ROW]
[ROW][C]35[/C][C]45151[/C][C]43700.3765433525[/C][C]1450.6234566475[/C][/ROW]
[ROW][C]36[/C][C]44991[/C][C]44713.1824400181[/C][C]277.817559981864[/C][/ROW]
[ROW][C]37[/C][C]45482[/C][C]44907.150944841[/C][C]574.849055159[/C][/ROW]
[ROW][C]38[/C][C]43678[/C][C]45308.5028670712[/C][C]-1630.50286707121[/C][/ROW]
[ROW][C]39[/C][C]45640[/C][C]44170.1075717708[/C][C]1469.89242822921[/C][/ROW]
[ROW][C]40[/C][C]45482[/C][C]45196.3668066899[/C][C]285.633193310146[/C][/ROW]
[ROW][C]41[/C][C]48426[/C][C]45395.7920821756[/C][C]3030.20791782445[/C][/ROW]
[ROW][C]42[/C][C]47762[/C][C]47511.4427241335[/C][C]250.557275866529[/C][/ROW]
[ROW][C]43[/C][C]45151[/C][C]47686.3784631684[/C][C]-2535.37846316845[/C][/ROW]
[ROW][C]44[/C][C]43835[/C][C]45916.2111285587[/C][C]-2081.21112855872[/C][/ROW]
[ROW][C]45[/C][C]45640[/C][C]44463.1373528996[/C][C]1176.86264710036[/C][/ROW]
[ROW][C]46[/C][C]43186[/C][C]45284.8071136406[/C][C]-2098.8071136406[/C][/ROW]
[ROW][C]47[/C][C]44991[/C][C]43819.4480565276[/C][C]1171.5519434724[/C][/ROW]
[ROW][C]48[/C][C]45309[/C][C]44637.4099550213[/C][C]671.590044978664[/C][/ROW]
[ROW][C]49[/C][C]45973[/C][C]45106.3051425211[/C][C]866.694857478869[/C][/ROW]
[ROW][C]50[/C][C]44502[/C][C]45711.4199007597[/C][C]-1209.41990075965[/C][/ROW]
[ROW][C]51[/C][C]45309[/C][C]44867.0191009374[/C][C]441.980899062648[/C][/ROW]
[ROW][C]52[/C][C]45800[/C][C]45175.6042535715[/C][C]624.395746428512[/C][/ROW]
[ROW][C]53[/C][C]47604[/C][C]45611.5490130043[/C][C]1992.45098699573[/C][/ROW]
[ROW][C]54[/C][C]46131[/C][C]47002.65164491[/C][C]-871.651644910009[/C][/ROW]
[ROW][C]55[/C][C]44169[/C][C]46394.0761239796[/C][C]-2225.07612397958[/C][/ROW]
[ROW][C]56[/C][C]42046[/C][C]44840.5577325808[/C][C]-2794.55773258075[/C][/ROW]
[ROW][C]57[/C][C]44011[/C][C]42889.4348983537[/C][C]1121.56510164631[/C][/ROW]
[ROW][C]58[/C][C]38611[/C][C]43672.4966524129[/C][C]-5061.49665241286[/C][/ROW]
[ROW][C]59[/C][C]41224[/C][C]40138.6273825994[/C][C]1085.37261740056[/C][/ROW]
[ROW][C]60[/C][C]42695[/C][C]40896.4200281997[/C][C]1798.5799718003[/C][/ROW]
[ROW][C]61[/C][C]44169[/C][C]42152.164510144[/C][C]2016.83548985601[/C][/ROW]
[ROW][C]62[/C][C]42046[/C][C]43560.2920758263[/C][C]-1514.29207582629[/C][/ROW]
[ROW][C]63[/C][C]42046[/C][C]42503.0336007597[/C][C]-457.033600759736[/C][/ROW]
[ROW][C]64[/C][C]42046[/C][C]42183.9388531169[/C][C]-137.938853116852[/C][/ROW]
[ROW][C]65[/C][C]43186[/C][C]42087.631790677[/C][C]1098.36820932299[/C][/ROW]
[ROW][C]66[/C][C]41558[/C][C]42854.4977847533[/C][C]-1296.49778475332[/C][/ROW]
[ROW][C]67[/C][C]39420[/C][C]41949.3003709139[/C][C]-2529.30037091392[/C][/ROW]
[ROW][C]68[/C][C]37631[/C][C]40183.3766790274[/C][C]-2552.37667902736[/C][/ROW]
[ROW][C]69[/C][C]38929[/C][C]38401.3414174406[/C][C]527.65858255943[/C][/ROW]
[ROW][C]70[/C][C]33862[/C][C]38769.7455828313[/C][C]-4907.74558283129[/C][/ROW]
[ROW][C]71[/C][C]36967[/C][C]35343.2232535194[/C][C]1623.77674648059[/C][/ROW]
[ROW][C]72[/C][C]38771[/C][C]36476.9224613792[/C][C]2294.07753862082[/C][/ROW]
[ROW][C]73[/C][C]39102[/C][C]38078.6167176495[/C][C]1023.38328235046[/C][/ROW]
[ROW][C]74[/C][C]37298[/C][C]38793.1292385686[/C][C]-1495.12923856863[/C][/ROW]
[ROW][C]75[/C][C]37455[/C][C]37749.2500001899[/C][C]-294.250000189902[/C][/ROW]
[ROW][C]76[/C][C]36967[/C][C]37543.8085853827[/C][C]-576.808585382685[/C][/ROW]
[ROW][C]77[/C][C]38611[/C][C]37141.0885453572[/C][C]1469.91145464277[/C][/ROW]
[ROW][C]78[/C][C]37455[/C][C]38167.3610642638[/C][C]-712.36106426378[/C][/ROW]
[ROW][C]79[/C][C]35178[/C][C]37670.0000963743[/C][C]-2492.00009637432[/C][/ROW]
[ROW][C]80[/C][C]33531[/C][C]35930.1189573142[/C][C]-2399.11895731416[/C][/ROW]
[ROW][C]81[/C][C]36315[/C][C]34255.0861873453[/C][C]2059.91381265472[/C][/ROW]
[ROW][C]82[/C][C]30269[/C][C]35693.2904618724[/C][C]-5424.29046187236[/C][/ROW]
[ROW][C]83[/C][C]34195[/C][C]31906.1234063306[/C][C]2288.87659366937[/C][/ROW]
[ROW][C]84[/C][C]35984[/C][C]33504.1864323938[/C][C]2479.81356760622[/C][/ROW]
[ROW][C]85[/C][C]35984[/C][C]35235.5591000518[/C][C]748.44089994824[/C][/ROW]
[ROW][C]86[/C][C]33862[/C][C]35758.1105266812[/C][C]-1896.11052668122[/C][/ROW]
[ROW][C]87[/C][C]31900[/C][C]34434.2715157013[/C][C]-2534.27151570129[/C][/ROW]
[ROW][C]88[/C][C]31742[/C][C]32664.8770370087[/C][C]-922.877037008715[/C][/ROW]
[ROW][C]89[/C][C]33531[/C][C]32020.5366324079[/C][C]1510.46336759214[/C][/ROW]
[ROW][C]90[/C][C]31900[/C][C]33075.1219545908[/C][C]-1175.12195459081[/C][/ROW]
[ROW][C]91[/C][C]28798[/C][C]32254.6675220798[/C][C]-3456.66752207985[/C][/ROW]
[ROW][C]92[/C][C]26660[/C][C]29841.2684879391[/C][C]-3181.26848793905[/C][/ROW]
[ROW][C]93[/C][C]28956[/C][C]27620.1493762245[/C][C]1335.85062377553[/C][/ROW]
[ROW][C]94[/C][C]23558[/C][C]28552.8224159609[/C][C]-4994.82241596085[/C][/ROW]
[ROW][C]95[/C][C]28464[/C][C]25065.5042063311[/C][C]3398.49579366887[/C][/ROW]
[ROW][C]96[/C][C]31075[/C][C]27438.2885176892[/C][C]3636.71148231081[/C][/ROW]
[ROW][C]97[/C][C]31900[/C][C]29977.3918369395[/C][C]1922.60816306051[/C][/ROW]
[ROW][C]98[/C][C]30096[/C][C]31319.7311432577[/C][C]-1223.73114325773[/C][/ROW]
[ROW][C]99[/C][C]27816[/C][C]30465.3384253231[/C][C]-2649.33842532308[/C][/ROW]
[ROW][C]100[/C][C]29447[/C][C]28615.6057692475[/C][C]831.394230752459[/C][/ROW]
[ROW][C]101[/C][C]30096[/C][C]29196.0741020194[/C][C]899.925897980633[/C][/ROW]
[ROW][C]102[/C][C]29604[/C][C]29824.3903283014[/C][C]-220.390328301364[/C][/ROW]
[ROW][C]103[/C][C]24696[/C][C]29670.516748601[/C][C]-4974.51674860098[/C][/ROW]
[ROW][C]104[/C][C]22418[/C][C]26197.3756843521[/C][C]-3779.37568435214[/C][/ROW]
[ROW][C]105[/C][C]24047[/C][C]23558.6661272402[/C][C]488.333872759835[/C][/ROW]
[ROW][C]106[/C][C]19140[/C][C]23899.6143061809[/C][C]-4759.61430618093[/C][/ROW]
[ROW][C]107[/C][C]24207[/C][C]20576.5152531056[/C][C]3630.48474689439[/C][/ROW]
[ROW][C]108[/C][C]26011[/C][C]23111.2711489651[/C][C]2899.72885103493[/C][/ROW]
[ROW][C]109[/C][C]27482[/C][C]25135.8230515291[/C][C]2346.17694847094[/C][/ROW]
[ROW][C]110[/C][C]25029[/C][C]26773.8924189747[/C][C]-1744.89241897468[/C][/ROW]
[ROW][C]111[/C][C]22733[/C][C]25555.6318683912[/C][C]-2822.63186839118[/C][/ROW]
[ROW][C]112[/C][C]24047[/C][C]23584.9080480072[/C][C]462.091951992763[/C][/ROW]
[ROW][C]113[/C][C]24696[/C][C]23907.5344688302[/C][C]788.465531169808[/C][/ROW]
[ROW][C]114[/C][C]23398[/C][C]24458.0305576856[/C][C]-1060.03055768562[/C][/ROW]
[ROW][C]115[/C][C]18491[/C][C]23717.9313992514[/C][C]-5226.9313992514[/C][/ROW]
[ROW][C]116[/C][C]16353[/C][C]20068.5578017342[/C][C]-3715.55780173416[/C][/ROW]
[ROW][C]117[/C][C]18316[/C][C]17474.4050367601[/C][C]841.59496323991[/C][/ROW]
[ROW][C]118[/C][C]12918[/C][C]18061.9953845292[/C][C]-5143.99538452916[/C][/ROW]
[ROW][C]119[/C][C]18807[/C][C]14470.5266032974[/C][C]4336.47339670256[/C][/ROW]
[ROW][C]120[/C][C]22418[/C][C]17498.1943324987[/C][C]4919.80566750131[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211151&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211151&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
24220642364-158
34204642253.6865131059-207.686513105895
44171542108.682567273-393.682567273048
54499141833.81866394833157.18133605173
64481844038.1204483588779.879551641185
74236444582.621921137-2218.621921137
84073343033.6097678438-2300.60976784379
94089141427.3547964926-536.35479649256
104089141052.8790508377-161.879050837662
114106740939.8572625275127.142737472532
124138241028.6266214126353.373378587363
134187341275.3471882957597.652811704298
144187341692.6203883664180.379611633609
154155841818.5590207962-260.559020796194
164073341636.6401972155-903.640197215544
174499141005.73069688313985.2693031169
184564043788.19242497731851.80757502274
194466045081.0997076208-421.099707620815
204236444787.0935235845-2423.09352358447
214334643095.3220320836250.677967916381
224187343270.3420366937-1397.34203669366
234253842294.7365148494243.263485150601
244285542464.5798267543390.420173245693
254318642737.1659702007448.834029799276
264236443050.5358870608-686.535887060803
274253842571.2057125063-33.2057125062638
284138242548.0219281305-1166.02192813051
294499141733.92101238963257.07898761042
304613144007.97000107842123.02999892157
314515145490.2411527356-339.241152735602
324334645253.3875169366-1907.38751693661
334530943921.67506217981387.32493782018
344318644890.2867795602-1704.28677956018
354515143700.37654335251450.6234566475
364499144713.1824400181277.817559981864
374548244907.150944841574.849055159
384367845308.5028670712-1630.50286707121
394564044170.10757177081469.89242822921
404548245196.3668066899285.633193310146
414842645395.79208217563030.20791782445
424776247511.4427241335250.557275866529
434515147686.3784631684-2535.37846316845
444383545916.2111285587-2081.21112855872
454564044463.13735289961176.86264710036
464318645284.8071136406-2098.8071136406
474499143819.44805652761171.5519434724
484530944637.4099550213671.590044978664
494597345106.3051425211866.694857478869
504450245711.4199007597-1209.41990075965
514530944867.0191009374441.980899062648
524580045175.6042535715624.395746428512
534760445611.54901300431992.45098699573
544613147002.65164491-871.651644910009
554416946394.0761239796-2225.07612397958
564204644840.5577325808-2794.55773258075
574401142889.43489835371121.56510164631
583861143672.4966524129-5061.49665241286
594122440138.62738259941085.37261740056
604269540896.42002819971798.5799718003
614416942152.1645101442016.83548985601
624204643560.2920758263-1514.29207582629
634204642503.0336007597-457.033600759736
644204642183.9388531169-137.938853116852
654318642087.6317906771098.36820932299
664155842854.4977847533-1296.49778475332
673942041949.3003709139-2529.30037091392
683763140183.3766790274-2552.37667902736
693892938401.3414174406527.65858255943
703386238769.7455828313-4907.74558283129
713696735343.22325351941623.77674648059
723877136476.92246137922294.07753862082
733910238078.61671764951023.38328235046
743729838793.1292385686-1495.12923856863
753745537749.2500001899-294.250000189902
763696737543.8085853827-576.808585382685
773861137141.08854535721469.91145464277
783745538167.3610642638-712.36106426378
793517837670.0000963743-2492.00009637432
803353135930.1189573142-2399.11895731416
813631534255.08618734532059.91381265472
823026935693.2904618724-5424.29046187236
833419531906.12340633062288.87659366937
843598433504.18643239382479.81356760622
853598435235.5591000518748.44089994824
863386235758.1105266812-1896.11052668122
873190034434.2715157013-2534.27151570129
883174232664.8770370087-922.877037008715
893353132020.53663240791510.46336759214
903190033075.1219545908-1175.12195459081
912879832254.6675220798-3456.66752207985
922666029841.2684879391-3181.26848793905
932895627620.14937622451335.85062377553
942355828552.8224159609-4994.82241596085
952846425065.50420633113398.49579366887
963107527438.28851768923636.71148231081
973190029977.39183693951922.60816306051
983009631319.7311432577-1223.73114325773
992781630465.3384253231-2649.33842532308
1002944728615.6057692475831.394230752459
1013009629196.0741020194899.925897980633
1022960429824.3903283014-220.390328301364
1032469629670.516748601-4974.51674860098
1042241826197.3756843521-3779.37568435214
1052404723558.6661272402488.333872759835
1061914023899.6143061809-4759.61430618093
1072420720576.51525310563630.48474689439
1082601123111.27114896512899.72885103493
1092748225135.82305152912346.17694847094
1102502926773.8924189747-1744.89241897468
1112273325555.6318683912-2822.63186839118
1122404723584.9080480072462.091951992763
1132469623907.5344688302788.465531169808
1142339824458.0305576856-1060.03055768562
1151849123717.9313992514-5226.9313992514
1161635320068.5578017342-3715.55780173416
1171831617474.4050367601841.59496323991
1181291818061.9953845292-5143.99538452916
1191880714470.52660329744336.47339670256
1202241817498.19433249874919.80566750131







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12120933.136851634616556.027318971625310.2463842975
12220933.136851634615594.741560609626271.5321426595
12320933.136851634614781.889766242427084.3839370267
12420933.136851634614064.569524465527801.7041788036
12520933.136851634613415.384956941428450.8887463277
12620933.136851634612817.967723854729048.3059794144
12720933.136851634612261.611818817129604.661884452
12820933.136851634611738.860217929930127.4134853392
12920933.136851634611244.272148306530622.0015549626
13020933.136851634610773.733539347731092.5401639214
13120933.136851634610324.043955254931542.2297480142
13220933.13685163469892.6554986173331973.6182046518

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 20933.1368516346 & 16556.0273189716 & 25310.2463842975 \tabularnewline
122 & 20933.1368516346 & 15594.7415606096 & 26271.5321426595 \tabularnewline
123 & 20933.1368516346 & 14781.8897662424 & 27084.3839370267 \tabularnewline
124 & 20933.1368516346 & 14064.5695244655 & 27801.7041788036 \tabularnewline
125 & 20933.1368516346 & 13415.3849569414 & 28450.8887463277 \tabularnewline
126 & 20933.1368516346 & 12817.9677238547 & 29048.3059794144 \tabularnewline
127 & 20933.1368516346 & 12261.6118188171 & 29604.661884452 \tabularnewline
128 & 20933.1368516346 & 11738.8602179299 & 30127.4134853392 \tabularnewline
129 & 20933.1368516346 & 11244.2721483065 & 30622.0015549626 \tabularnewline
130 & 20933.1368516346 & 10773.7335393477 & 31092.5401639214 \tabularnewline
131 & 20933.1368516346 & 10324.0439552549 & 31542.2297480142 \tabularnewline
132 & 20933.1368516346 & 9892.65549861733 & 31973.6182046518 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211151&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]121[/C][C]20933.1368516346[/C][C]16556.0273189716[/C][C]25310.2463842975[/C][/ROW]
[ROW][C]122[/C][C]20933.1368516346[/C][C]15594.7415606096[/C][C]26271.5321426595[/C][/ROW]
[ROW][C]123[/C][C]20933.1368516346[/C][C]14781.8897662424[/C][C]27084.3839370267[/C][/ROW]
[ROW][C]124[/C][C]20933.1368516346[/C][C]14064.5695244655[/C][C]27801.7041788036[/C][/ROW]
[ROW][C]125[/C][C]20933.1368516346[/C][C]13415.3849569414[/C][C]28450.8887463277[/C][/ROW]
[ROW][C]126[/C][C]20933.1368516346[/C][C]12817.9677238547[/C][C]29048.3059794144[/C][/ROW]
[ROW][C]127[/C][C]20933.1368516346[/C][C]12261.6118188171[/C][C]29604.661884452[/C][/ROW]
[ROW][C]128[/C][C]20933.1368516346[/C][C]11738.8602179299[/C][C]30127.4134853392[/C][/ROW]
[ROW][C]129[/C][C]20933.1368516346[/C][C]11244.2721483065[/C][C]30622.0015549626[/C][/ROW]
[ROW][C]130[/C][C]20933.1368516346[/C][C]10773.7335393477[/C][C]31092.5401639214[/C][/ROW]
[ROW][C]131[/C][C]20933.1368516346[/C][C]10324.0439552549[/C][C]31542.2297480142[/C][/ROW]
[ROW][C]132[/C][C]20933.1368516346[/C][C]9892.65549861733[/C][C]31973.6182046518[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211151&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211151&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
12120933.136851634616556.027318971625310.2463842975
12220933.136851634615594.741560609626271.5321426595
12320933.136851634614781.889766242427084.3839370267
12420933.136851634614064.569524465527801.7041788036
12520933.136851634613415.384956941428450.8887463277
12620933.136851634612817.967723854729048.3059794144
12720933.136851634612261.611818817129604.661884452
12820933.136851634611738.860217929930127.4134853392
12920933.136851634611244.272148306530622.0015549626
13020933.136851634610773.733539347731092.5401639214
13120933.136851634610324.043955254931542.2297480142
13220933.13685163469892.6554986173331973.6182046518



Parameters (Session):
par1 = 12 ; par2 = Single ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Single ; par3 = additive ;
R code (references can be found in the software module):
par3 <- 'additive'
par2 <- 'Triple'
par1 <- '12'
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')