Free Statistics

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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 29 Dec 2010 09:47:21 +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/2010/Dec/29/t1293615908jsutrbpd1313si6.htm/, Retrieved Fri, 03 May 2024 08:29:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116654, Retrieved Fri, 03 May 2024 08:29:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [] [2010-12-28 13:04:20] [14bb7b0a8b81eed6207eeab240457b45]
-         [Exponential Smoothing] [Exponential Smoot...] [2010-12-29 09:47:21] [186d70462ffc26ec970915be294cb975] [Current]
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Dataseries X:
1775
2197
2920
4240
5415
6136
6719
6234
7152
3646
2165
2803
1615
2350
3350
3536
5834
6767
5993
7276
5641
3477
2247
2466
1567
2237
2598
3729
5715
5776
5852
6878
5488
3583
2054
2282
1552
2261
2446
3519
5161
5085
5711
6057
5224
3363
1899
2115
1491
2061
2419
3430
4778
4862
6176
5664
5529
3418
1941
2402
1579
2146
2462
3695
4831
5134
6250
5760
6249
2917
1741
2359
1511
2059
2635
2867
4403
5720
4502
5749
5627
2846
1762
2429
1169
2154
2249
2687
4359
5382
4459
6398
4596
3024
1887
2070
1351
2218
2461
3028
4784
4975
4607
6249
4809
3157
1910
2228
1594
2467
2222
3607
4685
4962
5770
5480
5000
3228
1993
2288
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116654&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116654&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116654&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0531970593633077
beta0
gamma1

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.0531970593633077 \tabularnewline
beta & 0 \tabularnewline
gamma & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116654&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]0.0531970593633077[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116654&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116654&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
alpha0.0531970593633077
beta0
gamma1







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1316151538.1907051282176.8092948717931
1423502260.4011509965789.5988490034279
1533503281.0002968686468.9997031313578
1635363536.96196208825-0.96196208825495
1758345834.82687245003-0.826872450025803
1867676774.6989691833-7.69896918329869
1959936672.4554905787-679.455490578703
2072766147.893207094411128.10679290559
2156417097.90458837418-1456.90458837418
2234773522.10929908251-45.1092990825127
2322472046.87570093747200.124299062532
2424662648.06280907082-182.062809070821
2515671523.3502865110943.6497134889078
2622372255.90592762143-18.9059276214339
2725983251.22960656391-653.229606563909
2837293402.53088595997326.469114040027
2957155717.94206998266-2.9420699826569
3057766651.19512303182-875.195123031818
3158525866.78235018446-14.7823501844578
3268787088.98400859382-210.984008593817
3354885520.26331963836-32.2633196383595
3435833356.94668796943226.05331203057
3520542128.32603521152-74.3260352115221
3622822353.05731476613-71.0573147661262
3715521447.95523817465104.044761825346
3822612124.49585329991136.504146700086
3924462527.50736665351-81.5073666535072
4035193636.80421759122-117.80421759122
4151615616.69388910629-455.693889106289
4250855700.01012115041-615.010121150406
4357115744.07976878683-33.0797687868253
4460576779.54375119282-722.543751192821
4552245352.82286209809-128.822862098089
4633633428.94449319634-65.9444931963435
4718991900.39036658448-1.3903665844814
4821152132.09644336256-17.0964433625609
4914911395.6520874788495.3479125211634
5020612102.46269684605-41.4626968460502
5124192289.59295552298129.407044477019
5234303375.743867706554.2561322934962
5347785044.87170926723-266.871709267229
5448624987.39164903083-125.391649030826
5561765608.48092845755567.519071542454
5656646023.10847702099-359.108477020991
5755295177.85795949342351.142040506578
5834183339.0457365864578.9542634135478
5919411879.3198346379861.6801653620196
6024022099.51051856874302.489481431258
6115791486.5298409066692.4701590933391
6221462063.6546749947782.3453250052339
6324622419.1511299102942.8488700897142
6436953429.54429710566265.455702894341
6548314805.8625500511325.1374499488666
6651344897.87025546546236.129744534538
6762506194.2413177642655.7586822357443
6857605704.3110306631255.6889693368776
6962495553.59379609704695.406203902963
7029173475.38722656988-558.387226569878
7117411965.40146471203-224.401464712025
7223592398.37241577205-39.3724157720517
7315111568.35877849033-57.3587784903261
7420592127.92693100338-68.9269310033751
7526352437.98078707724197.019212922755
7628673667.34016705761-800.34016705761
7744034759.42718526263-356.427185262634
7857205030.90489909207689.095100907925
7945026180.59653415312-1678.59653415312
8057495598.33764527104150.662354728958
8156276058.35887438874-431.358874388736
8228462733.11640918054112.883590819461
8317621575.058982302186.941017697995
8424292205.09819145702223.901808542976
8511691372.06042760199-203.060427601994
8621541912.92492002083241.075079979171
8722492491.26856259593-242.268562595932
8826872752.95633086746-65.956330867456
8943594304.4085261520354.5914738479732
9053825587.65479903709-205.654799037085
9144594448.0109679587510.9890320412542
9263985687.58075792026710.419242079743
9345965626.31999616176-1030.31999616176
9430242784.50492708077239.495072919229
9518871703.30064827616183.699351723842
9620702368.1619957942-298.161995794199
9713511103.10287202553247.897127974465
9822182088.46578491772129.53421508228
9924612203.24459935331257.75540064669
10030282658.46511155127369.534888448733
10147844347.21917507387436.780824926133
10249755404.39486109894-429.394861098941
10346074457.96773299292149.032267007082
10462496367.10359675419-118.10359675419
10548094613.63082670566195.369173294343
10631573039.28345860385117.716541396147
10719101898.7733671258911.226632874108
10822282098.23193237149129.768067628508
10915941372.94781373574221.052186264263
11024672244.81630068151222.183699318486
11122222485.9239907743-263.923990774304
11236073019.22584117206587.774158827938
11346854783.2582425191-98.2582425190994
11449624991.87373687506-29.8737368750571
11557704614.356463566091155.64353643391
11654806324.11606542414-844.116065424137
11750004828.81850747275171.181492527252
11832283179.6626856519348.3373143480749
11919931934.6368647773158.3631352226917
12022882248.8383323492839.1616676507169
12115881605.16229163298-17.1622916329752
12221052465.42978874396-360.429788743961
12321912215.29596408047-24.2959640804656
12435913567.735633417623.2643665823998
12546684652.2002788679615.7997211320435
12648854931.62997252489-46.6299725248882
12758225675.67255729787146.327442702125
12855995438.36123939567160.63876060433
12953404957.80039705972382.199602940284
13030823203.56088904513-121.560889045125
13120101958.9894600452751.0105399547347
13223012254.6197852086146.3802147913898

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 1615 & 1538.19070512821 & 76.8092948717931 \tabularnewline
14 & 2350 & 2260.40115099657 & 89.5988490034279 \tabularnewline
15 & 3350 & 3281.00029686864 & 68.9997031313578 \tabularnewline
16 & 3536 & 3536.96196208825 & -0.96196208825495 \tabularnewline
17 & 5834 & 5834.82687245003 & -0.826872450025803 \tabularnewline
18 & 6767 & 6774.6989691833 & -7.69896918329869 \tabularnewline
19 & 5993 & 6672.4554905787 & -679.455490578703 \tabularnewline
20 & 7276 & 6147.89320709441 & 1128.10679290559 \tabularnewline
21 & 5641 & 7097.90458837418 & -1456.90458837418 \tabularnewline
22 & 3477 & 3522.10929908251 & -45.1092990825127 \tabularnewline
23 & 2247 & 2046.87570093747 & 200.124299062532 \tabularnewline
24 & 2466 & 2648.06280907082 & -182.062809070821 \tabularnewline
25 & 1567 & 1523.35028651109 & 43.6497134889078 \tabularnewline
26 & 2237 & 2255.90592762143 & -18.9059276214339 \tabularnewline
27 & 2598 & 3251.22960656391 & -653.229606563909 \tabularnewline
28 & 3729 & 3402.53088595997 & 326.469114040027 \tabularnewline
29 & 5715 & 5717.94206998266 & -2.9420699826569 \tabularnewline
30 & 5776 & 6651.19512303182 & -875.195123031818 \tabularnewline
31 & 5852 & 5866.78235018446 & -14.7823501844578 \tabularnewline
32 & 6878 & 7088.98400859382 & -210.984008593817 \tabularnewline
33 & 5488 & 5520.26331963836 & -32.2633196383595 \tabularnewline
34 & 3583 & 3356.94668796943 & 226.05331203057 \tabularnewline
35 & 2054 & 2128.32603521152 & -74.3260352115221 \tabularnewline
36 & 2282 & 2353.05731476613 & -71.0573147661262 \tabularnewline
37 & 1552 & 1447.95523817465 & 104.044761825346 \tabularnewline
38 & 2261 & 2124.49585329991 & 136.504146700086 \tabularnewline
39 & 2446 & 2527.50736665351 & -81.5073666535072 \tabularnewline
40 & 3519 & 3636.80421759122 & -117.80421759122 \tabularnewline
41 & 5161 & 5616.69388910629 & -455.693889106289 \tabularnewline
42 & 5085 & 5700.01012115041 & -615.010121150406 \tabularnewline
43 & 5711 & 5744.07976878683 & -33.0797687868253 \tabularnewline
44 & 6057 & 6779.54375119282 & -722.543751192821 \tabularnewline
45 & 5224 & 5352.82286209809 & -128.822862098089 \tabularnewline
46 & 3363 & 3428.94449319634 & -65.9444931963435 \tabularnewline
47 & 1899 & 1900.39036658448 & -1.3903665844814 \tabularnewline
48 & 2115 & 2132.09644336256 & -17.0964433625609 \tabularnewline
49 & 1491 & 1395.65208747884 & 95.3479125211634 \tabularnewline
50 & 2061 & 2102.46269684605 & -41.4626968460502 \tabularnewline
51 & 2419 & 2289.59295552298 & 129.407044477019 \tabularnewline
52 & 3430 & 3375.7438677065 & 54.2561322934962 \tabularnewline
53 & 4778 & 5044.87170926723 & -266.871709267229 \tabularnewline
54 & 4862 & 4987.39164903083 & -125.391649030826 \tabularnewline
55 & 6176 & 5608.48092845755 & 567.519071542454 \tabularnewline
56 & 5664 & 6023.10847702099 & -359.108477020991 \tabularnewline
57 & 5529 & 5177.85795949342 & 351.142040506578 \tabularnewline
58 & 3418 & 3339.04573658645 & 78.9542634135478 \tabularnewline
59 & 1941 & 1879.31983463798 & 61.6801653620196 \tabularnewline
60 & 2402 & 2099.51051856874 & 302.489481431258 \tabularnewline
61 & 1579 & 1486.52984090666 & 92.4701590933391 \tabularnewline
62 & 2146 & 2063.65467499477 & 82.3453250052339 \tabularnewline
63 & 2462 & 2419.15112991029 & 42.8488700897142 \tabularnewline
64 & 3695 & 3429.54429710566 & 265.455702894341 \tabularnewline
65 & 4831 & 4805.86255005113 & 25.1374499488666 \tabularnewline
66 & 5134 & 4897.87025546546 & 236.129744534538 \tabularnewline
67 & 6250 & 6194.24131776426 & 55.7586822357443 \tabularnewline
68 & 5760 & 5704.31103066312 & 55.6889693368776 \tabularnewline
69 & 6249 & 5553.59379609704 & 695.406203902963 \tabularnewline
70 & 2917 & 3475.38722656988 & -558.387226569878 \tabularnewline
71 & 1741 & 1965.40146471203 & -224.401464712025 \tabularnewline
72 & 2359 & 2398.37241577205 & -39.3724157720517 \tabularnewline
73 & 1511 & 1568.35877849033 & -57.3587784903261 \tabularnewline
74 & 2059 & 2127.92693100338 & -68.9269310033751 \tabularnewline
75 & 2635 & 2437.98078707724 & 197.019212922755 \tabularnewline
76 & 2867 & 3667.34016705761 & -800.34016705761 \tabularnewline
77 & 4403 & 4759.42718526263 & -356.427185262634 \tabularnewline
78 & 5720 & 5030.90489909207 & 689.095100907925 \tabularnewline
79 & 4502 & 6180.59653415312 & -1678.59653415312 \tabularnewline
80 & 5749 & 5598.33764527104 & 150.662354728958 \tabularnewline
81 & 5627 & 6058.35887438874 & -431.358874388736 \tabularnewline
82 & 2846 & 2733.11640918054 & 112.883590819461 \tabularnewline
83 & 1762 & 1575.058982302 & 186.941017697995 \tabularnewline
84 & 2429 & 2205.09819145702 & 223.901808542976 \tabularnewline
85 & 1169 & 1372.06042760199 & -203.060427601994 \tabularnewline
86 & 2154 & 1912.92492002083 & 241.075079979171 \tabularnewline
87 & 2249 & 2491.26856259593 & -242.268562595932 \tabularnewline
88 & 2687 & 2752.95633086746 & -65.956330867456 \tabularnewline
89 & 4359 & 4304.40852615203 & 54.5914738479732 \tabularnewline
90 & 5382 & 5587.65479903709 & -205.654799037085 \tabularnewline
91 & 4459 & 4448.01096795875 & 10.9890320412542 \tabularnewline
92 & 6398 & 5687.58075792026 & 710.419242079743 \tabularnewline
93 & 4596 & 5626.31999616176 & -1030.31999616176 \tabularnewline
94 & 3024 & 2784.50492708077 & 239.495072919229 \tabularnewline
95 & 1887 & 1703.30064827616 & 183.699351723842 \tabularnewline
96 & 2070 & 2368.1619957942 & -298.161995794199 \tabularnewline
97 & 1351 & 1103.10287202553 & 247.897127974465 \tabularnewline
98 & 2218 & 2088.46578491772 & 129.53421508228 \tabularnewline
99 & 2461 & 2203.24459935331 & 257.75540064669 \tabularnewline
100 & 3028 & 2658.46511155127 & 369.534888448733 \tabularnewline
101 & 4784 & 4347.21917507387 & 436.780824926133 \tabularnewline
102 & 4975 & 5404.39486109894 & -429.394861098941 \tabularnewline
103 & 4607 & 4457.96773299292 & 149.032267007082 \tabularnewline
104 & 6249 & 6367.10359675419 & -118.10359675419 \tabularnewline
105 & 4809 & 4613.63082670566 & 195.369173294343 \tabularnewline
106 & 3157 & 3039.28345860385 & 117.716541396147 \tabularnewline
107 & 1910 & 1898.77336712589 & 11.226632874108 \tabularnewline
108 & 2228 & 2098.23193237149 & 129.768067628508 \tabularnewline
109 & 1594 & 1372.94781373574 & 221.052186264263 \tabularnewline
110 & 2467 & 2244.81630068151 & 222.183699318486 \tabularnewline
111 & 2222 & 2485.9239907743 & -263.923990774304 \tabularnewline
112 & 3607 & 3019.22584117206 & 587.774158827938 \tabularnewline
113 & 4685 & 4783.2582425191 & -98.2582425190994 \tabularnewline
114 & 4962 & 4991.87373687506 & -29.8737368750571 \tabularnewline
115 & 5770 & 4614.35646356609 & 1155.64353643391 \tabularnewline
116 & 5480 & 6324.11606542414 & -844.116065424137 \tabularnewline
117 & 5000 & 4828.81850747275 & 171.181492527252 \tabularnewline
118 & 3228 & 3179.66268565193 & 48.3373143480749 \tabularnewline
119 & 1993 & 1934.63686477731 & 58.3631352226917 \tabularnewline
120 & 2288 & 2248.83833234928 & 39.1616676507169 \tabularnewline
121 & 1588 & 1605.16229163298 & -17.1622916329752 \tabularnewline
122 & 2105 & 2465.42978874396 & -360.429788743961 \tabularnewline
123 & 2191 & 2215.29596408047 & -24.2959640804656 \tabularnewline
124 & 3591 & 3567.7356334176 & 23.2643665823998 \tabularnewline
125 & 4668 & 4652.20027886796 & 15.7997211320435 \tabularnewline
126 & 4885 & 4931.62997252489 & -46.6299725248882 \tabularnewline
127 & 5822 & 5675.67255729787 & 146.327442702125 \tabularnewline
128 & 5599 & 5438.36123939567 & 160.63876060433 \tabularnewline
129 & 5340 & 4957.80039705972 & 382.199602940284 \tabularnewline
130 & 3082 & 3203.56088904513 & -121.560889045125 \tabularnewline
131 & 2010 & 1958.98946004527 & 51.0105399547347 \tabularnewline
132 & 2301 & 2254.61978520861 & 46.3802147913898 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116654&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]1615[/C][C]1538.19070512821[/C][C]76.8092948717931[/C][/ROW]
[ROW][C]14[/C][C]2350[/C][C]2260.40115099657[/C][C]89.5988490034279[/C][/ROW]
[ROW][C]15[/C][C]3350[/C][C]3281.00029686864[/C][C]68.9997031313578[/C][/ROW]
[ROW][C]16[/C][C]3536[/C][C]3536.96196208825[/C][C]-0.96196208825495[/C][/ROW]
[ROW][C]17[/C][C]5834[/C][C]5834.82687245003[/C][C]-0.826872450025803[/C][/ROW]
[ROW][C]18[/C][C]6767[/C][C]6774.6989691833[/C][C]-7.69896918329869[/C][/ROW]
[ROW][C]19[/C][C]5993[/C][C]6672.4554905787[/C][C]-679.455490578703[/C][/ROW]
[ROW][C]20[/C][C]7276[/C][C]6147.89320709441[/C][C]1128.10679290559[/C][/ROW]
[ROW][C]21[/C][C]5641[/C][C]7097.90458837418[/C][C]-1456.90458837418[/C][/ROW]
[ROW][C]22[/C][C]3477[/C][C]3522.10929908251[/C][C]-45.1092990825127[/C][/ROW]
[ROW][C]23[/C][C]2247[/C][C]2046.87570093747[/C][C]200.124299062532[/C][/ROW]
[ROW][C]24[/C][C]2466[/C][C]2648.06280907082[/C][C]-182.062809070821[/C][/ROW]
[ROW][C]25[/C][C]1567[/C][C]1523.35028651109[/C][C]43.6497134889078[/C][/ROW]
[ROW][C]26[/C][C]2237[/C][C]2255.90592762143[/C][C]-18.9059276214339[/C][/ROW]
[ROW][C]27[/C][C]2598[/C][C]3251.22960656391[/C][C]-653.229606563909[/C][/ROW]
[ROW][C]28[/C][C]3729[/C][C]3402.53088595997[/C][C]326.469114040027[/C][/ROW]
[ROW][C]29[/C][C]5715[/C][C]5717.94206998266[/C][C]-2.9420699826569[/C][/ROW]
[ROW][C]30[/C][C]5776[/C][C]6651.19512303182[/C][C]-875.195123031818[/C][/ROW]
[ROW][C]31[/C][C]5852[/C][C]5866.78235018446[/C][C]-14.7823501844578[/C][/ROW]
[ROW][C]32[/C][C]6878[/C][C]7088.98400859382[/C][C]-210.984008593817[/C][/ROW]
[ROW][C]33[/C][C]5488[/C][C]5520.26331963836[/C][C]-32.2633196383595[/C][/ROW]
[ROW][C]34[/C][C]3583[/C][C]3356.94668796943[/C][C]226.05331203057[/C][/ROW]
[ROW][C]35[/C][C]2054[/C][C]2128.32603521152[/C][C]-74.3260352115221[/C][/ROW]
[ROW][C]36[/C][C]2282[/C][C]2353.05731476613[/C][C]-71.0573147661262[/C][/ROW]
[ROW][C]37[/C][C]1552[/C][C]1447.95523817465[/C][C]104.044761825346[/C][/ROW]
[ROW][C]38[/C][C]2261[/C][C]2124.49585329991[/C][C]136.504146700086[/C][/ROW]
[ROW][C]39[/C][C]2446[/C][C]2527.50736665351[/C][C]-81.5073666535072[/C][/ROW]
[ROW][C]40[/C][C]3519[/C][C]3636.80421759122[/C][C]-117.80421759122[/C][/ROW]
[ROW][C]41[/C][C]5161[/C][C]5616.69388910629[/C][C]-455.693889106289[/C][/ROW]
[ROW][C]42[/C][C]5085[/C][C]5700.01012115041[/C][C]-615.010121150406[/C][/ROW]
[ROW][C]43[/C][C]5711[/C][C]5744.07976878683[/C][C]-33.0797687868253[/C][/ROW]
[ROW][C]44[/C][C]6057[/C][C]6779.54375119282[/C][C]-722.543751192821[/C][/ROW]
[ROW][C]45[/C][C]5224[/C][C]5352.82286209809[/C][C]-128.822862098089[/C][/ROW]
[ROW][C]46[/C][C]3363[/C][C]3428.94449319634[/C][C]-65.9444931963435[/C][/ROW]
[ROW][C]47[/C][C]1899[/C][C]1900.39036658448[/C][C]-1.3903665844814[/C][/ROW]
[ROW][C]48[/C][C]2115[/C][C]2132.09644336256[/C][C]-17.0964433625609[/C][/ROW]
[ROW][C]49[/C][C]1491[/C][C]1395.65208747884[/C][C]95.3479125211634[/C][/ROW]
[ROW][C]50[/C][C]2061[/C][C]2102.46269684605[/C][C]-41.4626968460502[/C][/ROW]
[ROW][C]51[/C][C]2419[/C][C]2289.59295552298[/C][C]129.407044477019[/C][/ROW]
[ROW][C]52[/C][C]3430[/C][C]3375.7438677065[/C][C]54.2561322934962[/C][/ROW]
[ROW][C]53[/C][C]4778[/C][C]5044.87170926723[/C][C]-266.871709267229[/C][/ROW]
[ROW][C]54[/C][C]4862[/C][C]4987.39164903083[/C][C]-125.391649030826[/C][/ROW]
[ROW][C]55[/C][C]6176[/C][C]5608.48092845755[/C][C]567.519071542454[/C][/ROW]
[ROW][C]56[/C][C]5664[/C][C]6023.10847702099[/C][C]-359.108477020991[/C][/ROW]
[ROW][C]57[/C][C]5529[/C][C]5177.85795949342[/C][C]351.142040506578[/C][/ROW]
[ROW][C]58[/C][C]3418[/C][C]3339.04573658645[/C][C]78.9542634135478[/C][/ROW]
[ROW][C]59[/C][C]1941[/C][C]1879.31983463798[/C][C]61.6801653620196[/C][/ROW]
[ROW][C]60[/C][C]2402[/C][C]2099.51051856874[/C][C]302.489481431258[/C][/ROW]
[ROW][C]61[/C][C]1579[/C][C]1486.52984090666[/C][C]92.4701590933391[/C][/ROW]
[ROW][C]62[/C][C]2146[/C][C]2063.65467499477[/C][C]82.3453250052339[/C][/ROW]
[ROW][C]63[/C][C]2462[/C][C]2419.15112991029[/C][C]42.8488700897142[/C][/ROW]
[ROW][C]64[/C][C]3695[/C][C]3429.54429710566[/C][C]265.455702894341[/C][/ROW]
[ROW][C]65[/C][C]4831[/C][C]4805.86255005113[/C][C]25.1374499488666[/C][/ROW]
[ROW][C]66[/C][C]5134[/C][C]4897.87025546546[/C][C]236.129744534538[/C][/ROW]
[ROW][C]67[/C][C]6250[/C][C]6194.24131776426[/C][C]55.7586822357443[/C][/ROW]
[ROW][C]68[/C][C]5760[/C][C]5704.31103066312[/C][C]55.6889693368776[/C][/ROW]
[ROW][C]69[/C][C]6249[/C][C]5553.59379609704[/C][C]695.406203902963[/C][/ROW]
[ROW][C]70[/C][C]2917[/C][C]3475.38722656988[/C][C]-558.387226569878[/C][/ROW]
[ROW][C]71[/C][C]1741[/C][C]1965.40146471203[/C][C]-224.401464712025[/C][/ROW]
[ROW][C]72[/C][C]2359[/C][C]2398.37241577205[/C][C]-39.3724157720517[/C][/ROW]
[ROW][C]73[/C][C]1511[/C][C]1568.35877849033[/C][C]-57.3587784903261[/C][/ROW]
[ROW][C]74[/C][C]2059[/C][C]2127.92693100338[/C][C]-68.9269310033751[/C][/ROW]
[ROW][C]75[/C][C]2635[/C][C]2437.98078707724[/C][C]197.019212922755[/C][/ROW]
[ROW][C]76[/C][C]2867[/C][C]3667.34016705761[/C][C]-800.34016705761[/C][/ROW]
[ROW][C]77[/C][C]4403[/C][C]4759.42718526263[/C][C]-356.427185262634[/C][/ROW]
[ROW][C]78[/C][C]5720[/C][C]5030.90489909207[/C][C]689.095100907925[/C][/ROW]
[ROW][C]79[/C][C]4502[/C][C]6180.59653415312[/C][C]-1678.59653415312[/C][/ROW]
[ROW][C]80[/C][C]5749[/C][C]5598.33764527104[/C][C]150.662354728958[/C][/ROW]
[ROW][C]81[/C][C]5627[/C][C]6058.35887438874[/C][C]-431.358874388736[/C][/ROW]
[ROW][C]82[/C][C]2846[/C][C]2733.11640918054[/C][C]112.883590819461[/C][/ROW]
[ROW][C]83[/C][C]1762[/C][C]1575.058982302[/C][C]186.941017697995[/C][/ROW]
[ROW][C]84[/C][C]2429[/C][C]2205.09819145702[/C][C]223.901808542976[/C][/ROW]
[ROW][C]85[/C][C]1169[/C][C]1372.06042760199[/C][C]-203.060427601994[/C][/ROW]
[ROW][C]86[/C][C]2154[/C][C]1912.92492002083[/C][C]241.075079979171[/C][/ROW]
[ROW][C]87[/C][C]2249[/C][C]2491.26856259593[/C][C]-242.268562595932[/C][/ROW]
[ROW][C]88[/C][C]2687[/C][C]2752.95633086746[/C][C]-65.956330867456[/C][/ROW]
[ROW][C]89[/C][C]4359[/C][C]4304.40852615203[/C][C]54.5914738479732[/C][/ROW]
[ROW][C]90[/C][C]5382[/C][C]5587.65479903709[/C][C]-205.654799037085[/C][/ROW]
[ROW][C]91[/C][C]4459[/C][C]4448.01096795875[/C][C]10.9890320412542[/C][/ROW]
[ROW][C]92[/C][C]6398[/C][C]5687.58075792026[/C][C]710.419242079743[/C][/ROW]
[ROW][C]93[/C][C]4596[/C][C]5626.31999616176[/C][C]-1030.31999616176[/C][/ROW]
[ROW][C]94[/C][C]3024[/C][C]2784.50492708077[/C][C]239.495072919229[/C][/ROW]
[ROW][C]95[/C][C]1887[/C][C]1703.30064827616[/C][C]183.699351723842[/C][/ROW]
[ROW][C]96[/C][C]2070[/C][C]2368.1619957942[/C][C]-298.161995794199[/C][/ROW]
[ROW][C]97[/C][C]1351[/C][C]1103.10287202553[/C][C]247.897127974465[/C][/ROW]
[ROW][C]98[/C][C]2218[/C][C]2088.46578491772[/C][C]129.53421508228[/C][/ROW]
[ROW][C]99[/C][C]2461[/C][C]2203.24459935331[/C][C]257.75540064669[/C][/ROW]
[ROW][C]100[/C][C]3028[/C][C]2658.46511155127[/C][C]369.534888448733[/C][/ROW]
[ROW][C]101[/C][C]4784[/C][C]4347.21917507387[/C][C]436.780824926133[/C][/ROW]
[ROW][C]102[/C][C]4975[/C][C]5404.39486109894[/C][C]-429.394861098941[/C][/ROW]
[ROW][C]103[/C][C]4607[/C][C]4457.96773299292[/C][C]149.032267007082[/C][/ROW]
[ROW][C]104[/C][C]6249[/C][C]6367.10359675419[/C][C]-118.10359675419[/C][/ROW]
[ROW][C]105[/C][C]4809[/C][C]4613.63082670566[/C][C]195.369173294343[/C][/ROW]
[ROW][C]106[/C][C]3157[/C][C]3039.28345860385[/C][C]117.716541396147[/C][/ROW]
[ROW][C]107[/C][C]1910[/C][C]1898.77336712589[/C][C]11.226632874108[/C][/ROW]
[ROW][C]108[/C][C]2228[/C][C]2098.23193237149[/C][C]129.768067628508[/C][/ROW]
[ROW][C]109[/C][C]1594[/C][C]1372.94781373574[/C][C]221.052186264263[/C][/ROW]
[ROW][C]110[/C][C]2467[/C][C]2244.81630068151[/C][C]222.183699318486[/C][/ROW]
[ROW][C]111[/C][C]2222[/C][C]2485.9239907743[/C][C]-263.923990774304[/C][/ROW]
[ROW][C]112[/C][C]3607[/C][C]3019.22584117206[/C][C]587.774158827938[/C][/ROW]
[ROW][C]113[/C][C]4685[/C][C]4783.2582425191[/C][C]-98.2582425190994[/C][/ROW]
[ROW][C]114[/C][C]4962[/C][C]4991.87373687506[/C][C]-29.8737368750571[/C][/ROW]
[ROW][C]115[/C][C]5770[/C][C]4614.35646356609[/C][C]1155.64353643391[/C][/ROW]
[ROW][C]116[/C][C]5480[/C][C]6324.11606542414[/C][C]-844.116065424137[/C][/ROW]
[ROW][C]117[/C][C]5000[/C][C]4828.81850747275[/C][C]171.181492527252[/C][/ROW]
[ROW][C]118[/C][C]3228[/C][C]3179.66268565193[/C][C]48.3373143480749[/C][/ROW]
[ROW][C]119[/C][C]1993[/C][C]1934.63686477731[/C][C]58.3631352226917[/C][/ROW]
[ROW][C]120[/C][C]2288[/C][C]2248.83833234928[/C][C]39.1616676507169[/C][/ROW]
[ROW][C]121[/C][C]1588[/C][C]1605.16229163298[/C][C]-17.1622916329752[/C][/ROW]
[ROW][C]122[/C][C]2105[/C][C]2465.42978874396[/C][C]-360.429788743961[/C][/ROW]
[ROW][C]123[/C][C]2191[/C][C]2215.29596408047[/C][C]-24.2959640804656[/C][/ROW]
[ROW][C]124[/C][C]3591[/C][C]3567.7356334176[/C][C]23.2643665823998[/C][/ROW]
[ROW][C]125[/C][C]4668[/C][C]4652.20027886796[/C][C]15.7997211320435[/C][/ROW]
[ROW][C]126[/C][C]4885[/C][C]4931.62997252489[/C][C]-46.6299725248882[/C][/ROW]
[ROW][C]127[/C][C]5822[/C][C]5675.67255729787[/C][C]146.327442702125[/C][/ROW]
[ROW][C]128[/C][C]5599[/C][C]5438.36123939567[/C][C]160.63876060433[/C][/ROW]
[ROW][C]129[/C][C]5340[/C][C]4957.80039705972[/C][C]382.199602940284[/C][/ROW]
[ROW][C]130[/C][C]3082[/C][C]3203.56088904513[/C][C]-121.560889045125[/C][/ROW]
[ROW][C]131[/C][C]2010[/C][C]1958.98946004527[/C][C]51.0105399547347[/C][/ROW]
[ROW][C]132[/C][C]2301[/C][C]2254.61978520861[/C][C]46.3802147913898[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116654&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116654&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
1316151538.1907051282176.8092948717931
1423502260.4011509965789.5988490034279
1533503281.0002968686468.9997031313578
1635363536.96196208825-0.96196208825495
1758345834.82687245003-0.826872450025803
1867676774.6989691833-7.69896918329869
1959936672.4554905787-679.455490578703
2072766147.893207094411128.10679290559
2156417097.90458837418-1456.90458837418
2234773522.10929908251-45.1092990825127
2322472046.87570093747200.124299062532
2424662648.06280907082-182.062809070821
2515671523.3502865110943.6497134889078
2622372255.90592762143-18.9059276214339
2725983251.22960656391-653.229606563909
2837293402.53088595997326.469114040027
2957155717.94206998266-2.9420699826569
3057766651.19512303182-875.195123031818
3158525866.78235018446-14.7823501844578
3268787088.98400859382-210.984008593817
3354885520.26331963836-32.2633196383595
3435833356.94668796943226.05331203057
3520542128.32603521152-74.3260352115221
3622822353.05731476613-71.0573147661262
3715521447.95523817465104.044761825346
3822612124.49585329991136.504146700086
3924462527.50736665351-81.5073666535072
4035193636.80421759122-117.80421759122
4151615616.69388910629-455.693889106289
4250855700.01012115041-615.010121150406
4357115744.07976878683-33.0797687868253
4460576779.54375119282-722.543751192821
4552245352.82286209809-128.822862098089
4633633428.94449319634-65.9444931963435
4718991900.39036658448-1.3903665844814
4821152132.09644336256-17.0964433625609
4914911395.6520874788495.3479125211634
5020612102.46269684605-41.4626968460502
5124192289.59295552298129.407044477019
5234303375.743867706554.2561322934962
5347785044.87170926723-266.871709267229
5448624987.39164903083-125.391649030826
5561765608.48092845755567.519071542454
5656646023.10847702099-359.108477020991
5755295177.85795949342351.142040506578
5834183339.0457365864578.9542634135478
5919411879.3198346379861.6801653620196
6024022099.51051856874302.489481431258
6115791486.5298409066692.4701590933391
6221462063.6546749947782.3453250052339
6324622419.1511299102942.8488700897142
6436953429.54429710566265.455702894341
6548314805.8625500511325.1374499488666
6651344897.87025546546236.129744534538
6762506194.2413177642655.7586822357443
6857605704.3110306631255.6889693368776
6962495553.59379609704695.406203902963
7029173475.38722656988-558.387226569878
7117411965.40146471203-224.401464712025
7223592398.37241577205-39.3724157720517
7315111568.35877849033-57.3587784903261
7420592127.92693100338-68.9269310033751
7526352437.98078707724197.019212922755
7628673667.34016705761-800.34016705761
7744034759.42718526263-356.427185262634
7857205030.90489909207689.095100907925
7945026180.59653415312-1678.59653415312
8057495598.33764527104150.662354728958
8156276058.35887438874-431.358874388736
8228462733.11640918054112.883590819461
8317621575.058982302186.941017697995
8424292205.09819145702223.901808542976
8511691372.06042760199-203.060427601994
8621541912.92492002083241.075079979171
8722492491.26856259593-242.268562595932
8826872752.95633086746-65.956330867456
8943594304.4085261520354.5914738479732
9053825587.65479903709-205.654799037085
9144594448.0109679587510.9890320412542
9263985687.58075792026710.419242079743
9345965626.31999616176-1030.31999616176
9430242784.50492708077239.495072919229
9518871703.30064827616183.699351723842
9620702368.1619957942-298.161995794199
9713511103.10287202553247.897127974465
9822182088.46578491772129.53421508228
9924612203.24459935331257.75540064669
10030282658.46511155127369.534888448733
10147844347.21917507387436.780824926133
10249755404.39486109894-429.394861098941
10346074457.96773299292149.032267007082
10462496367.10359675419-118.10359675419
10548094613.63082670566195.369173294343
10631573039.28345860385117.716541396147
10719101898.7733671258911.226632874108
10822282098.23193237149129.768067628508
10915941372.94781373574221.052186264263
11024672244.81630068151222.183699318486
11122222485.9239907743-263.923990774304
11236073019.22584117206587.774158827938
11346854783.2582425191-98.2582425190994
11449624991.87373687506-29.8737368750571
11557704614.356463566091155.64353643391
11654806324.11606542414-844.116065424137
11750004828.81850747275171.181492527252
11832283179.6626856519348.3373143480749
11919931934.6368647773158.3631352226917
12022882248.8383323492839.1616676507169
12115881605.16229163298-17.1622916329752
12221052465.42978874396-360.429788743961
12321912215.29596408047-24.2959640804656
12435913567.735633417623.2643665823998
12546684652.2002788679615.7997211320435
12648854931.62997252489-46.6299725248882
12758225675.67255729787146.327442702125
12855995438.36123939567160.63876060433
12953404957.80039705972382.199602940284
13030823203.56088904513-121.560889045125
13120101958.9894600452751.0105399547347
13223012254.6197852086146.3802147913898







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331558.00005969496787.6869932627832328.31312612714
1342094.173864563081322.771603251352865.57612587481
1352181.466338406551408.976417956092953.95625885702
1363580.228742516422806.652692190234353.80479284261
1374656.388243813443881.727586442115431.04890118476
1384875.868821229954100.125073256645651.61256920326
1395805.084631574055028.259303098986581.90996004911
1405573.539121890134795.633716714736351.44452706553
1415294.207226923884515.223242594426073.19121125335
1423042.673908754672262.61283660553822.73498090384
1431967.960298032551186.823623228952749.09697283614
1442256.493006993011474.282208573593038.70380541242

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1558.00005969496 & 787.686993262783 & 2328.31312612714 \tabularnewline
134 & 2094.17386456308 & 1322.77160325135 & 2865.57612587481 \tabularnewline
135 & 2181.46633840655 & 1408.97641795609 & 2953.95625885702 \tabularnewline
136 & 3580.22874251642 & 2806.65269219023 & 4353.80479284261 \tabularnewline
137 & 4656.38824381344 & 3881.72758644211 & 5431.04890118476 \tabularnewline
138 & 4875.86882122995 & 4100.12507325664 & 5651.61256920326 \tabularnewline
139 & 5805.08463157405 & 5028.25930309898 & 6581.90996004911 \tabularnewline
140 & 5573.53912189013 & 4795.63371671473 & 6351.44452706553 \tabularnewline
141 & 5294.20722692388 & 4515.22324259442 & 6073.19121125335 \tabularnewline
142 & 3042.67390875467 & 2262.6128366055 & 3822.73498090384 \tabularnewline
143 & 1967.96029803255 & 1186.82362322895 & 2749.09697283614 \tabularnewline
144 & 2256.49300699301 & 1474.28220857359 & 3038.70380541242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116654&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]1558.00005969496[/C][C]787.686993262783[/C][C]2328.31312612714[/C][/ROW]
[ROW][C]134[/C][C]2094.17386456308[/C][C]1322.77160325135[/C][C]2865.57612587481[/C][/ROW]
[ROW][C]135[/C][C]2181.46633840655[/C][C]1408.97641795609[/C][C]2953.95625885702[/C][/ROW]
[ROW][C]136[/C][C]3580.22874251642[/C][C]2806.65269219023[/C][C]4353.80479284261[/C][/ROW]
[ROW][C]137[/C][C]4656.38824381344[/C][C]3881.72758644211[/C][C]5431.04890118476[/C][/ROW]
[ROW][C]138[/C][C]4875.86882122995[/C][C]4100.12507325664[/C][C]5651.61256920326[/C][/ROW]
[ROW][C]139[/C][C]5805.08463157405[/C][C]5028.25930309898[/C][C]6581.90996004911[/C][/ROW]
[ROW][C]140[/C][C]5573.53912189013[/C][C]4795.63371671473[/C][C]6351.44452706553[/C][/ROW]
[ROW][C]141[/C][C]5294.20722692388[/C][C]4515.22324259442[/C][C]6073.19121125335[/C][/ROW]
[ROW][C]142[/C][C]3042.67390875467[/C][C]2262.6128366055[/C][C]3822.73498090384[/C][/ROW]
[ROW][C]143[/C][C]1967.96029803255[/C][C]1186.82362322895[/C][C]2749.09697283614[/C][/ROW]
[ROW][C]144[/C][C]2256.49300699301[/C][C]1474.28220857359[/C][C]3038.70380541242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116654&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116654&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
1331558.00005969496787.6869932627832328.31312612714
1342094.173864563081322.771603251352865.57612587481
1352181.466338406551408.976417956092953.95625885702
1363580.228742516422806.652692190234353.80479284261
1374656.388243813443881.727586442115431.04890118476
1384875.868821229954100.125073256645651.61256920326
1395805.084631574055028.259303098986581.90996004911
1405573.539121890134795.633716714736351.44452706553
1415294.207226923884515.223242594426073.19121125335
1423042.673908754672262.61283660553822.73498090384
1431967.960298032551186.823623228952749.09697283614
1442256.493006993011474.282208573593038.70380541242



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')