Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 16 Aug 2015 22:44:06 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Aug/16/t1439762097ny2xabmuv40f5iy.htm/, Retrieved Sun, 19 May 2024 14:54:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280211, Retrieved Sun, 19 May 2024 14:54:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact87
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [] [2014-11-24 12:14:04] [46d78fa4bef23992fc20db72a2a0da97]
- RMPD  [Central Tendency] [] [2015-08-16 17:50:33] [46d78fa4bef23992fc20db72a2a0da97]
- RMPD      [Exponential Smoothing] [] [2015-08-16 21:44:06] [fced41568b3cc41e6659ad201d611503] [Current]
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Dataseries X:
95320.00
94965.00
94605.00
93860.00
101230.00
100840.00
95320.00
91650.00
92005.00
92005.00
92400.00
93110.00
94215.00
94215.00
93505.00
91650.00
101230.00
102690.00
100485.00
95320.00
97530.00
94215.00
95710.00
96425.00
97170.00
95320.00
95710.00
93110.00
101230.00
103795.00
101590.00
97530.00
101945.00
97170.00
101590.00
101230.00
102335.00
98275.00
102690.00
102335.00
108960.00
107465.00
101590.00
98630.00
102690.00
97170.00
101230.00
101945.00
103440.00
100130.00
101945.00
103050.00
107110.00
103795.00
99380.00
94605.00
99025.00
86875.00
92755.00
96065.00
99380.00
94605.00
94605.00
94605.00
97170.00
93505.00
88695.00
84670.00
87590.00
76190.00
83175.00
87235.00
87980.00
83920.00
84275.00
83175.00
86875.00
84275.00
79150.00
75445.00
81710.00
68105.00
76940.00
80965.00
80965.00
76190.00
71775.00
71420.00
75445.00
71775.00
64795.00
59985.00
65150.00
53005.00
64045.00
69920.00
71775.00
67715.00
62585.00
66255.00
67715.00
66610.00
55565.00
50440.00
54105.00
43065.00
54465.00
58525.00
61835.00
56315.00
51150.00
54105.00
55565.00
52645.00
41605.00
36795.00
41210.00
29065.00
42315.00
50440.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280211&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280211&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280211&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.659004759562784
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.659004759562784 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280211&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]0.659004759562784[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280211&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280211&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
alpha0.659004759562784
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
39460594610-5
49386094251.7049762022-391.704976202192
510123093638.56953254057591.43046745948
610084098286.35834248622553.64165751376
79532099614.2203490056-4294.2203490056
89165096429.3087003996-4779.30870039956
99200592924.7215194164-919.721519416431
109200591963.620660648741.3793393513188
119240091635.8898422288764.11015777124
129311091784.44207303031325.55792696972
139421592302.99105597951912.00894402049
149421593208.01405041561006.98594958437
159350593516.6225840046-11.6225840045809
169165093153.9632458271-1503.96324582714
1710123091807.84430861969422.15569138044
1810269097662.08975458085027.91024541916
19100485100620.506536967-135.506536966554
2095320100176.207084154-4856.20708415372
219753096620.9435022739909.056497726095
229421596865.0160609869-2650.01606098688
239571094763.6428638787946.357136121296
249642595032.29672082881392.70327917115
259717095595.09481046131574.90518953867
269532096277.9648262274-957.964826227442
279571095291.6614462498418.338553750174
289311095212.3485442798-2102.3485442798
2910123093471.89084733957758.10915266047
3010379598229.52170415045565.47829584964
31101590101542.19839035947.8016096413485
3297530101218.699878627-3688.69987862706
3310194598432.82910201323512.17089798683
3497170100392.366440184-3222.36644018439
3510159097913.81161904753676.18838095252
3610123099981.43725914461248.56274085541
37102335100449.2460479811885.75395201895
3898275101336.966877726-3061.96687772588
3910269098964.11613168093725.88386831907
40102335101064.4913344811270.5086655186
41108960101546.7625921247413.23740787608
42107465106077.1213276831387.87867231687
43101590106636.739978436-5046.73997843562
4498630102955.914312371-4325.91431237076
4510269099750.11619105772939.88380894234
4697170101332.513613712-4162.51361371223
4710123098234.3973305312995.60266946902
4810194599853.513747472091.48625252995
49103440100876.8131424472563.18685755259
50100130102210.965481223-2080.96548122335
51101945100484.5993246111460.40067538869
52103050101092.0103205611957.98967943885
53107110102027.3348384865082.66516151384
54103795105021.835371188-1226.83537118773
5599380103858.345022375-4478.34502237504
5694605100552.094337666-5947.09433766559
579902596277.93086357512747.06913642492
588687597733.2624993271-10858.2624993271
599275590222.61583168852532.38416831153
609606591536.46905164724528.5309483528
619938094165.79250043915214.20749956093
629460597246.9800599977-2641.98005999769
639460595150.9026257893-545.902625789255
649460594436.1501971363168.849802863682
659717094192.42302087472977.57697912527
669350595799.6604220829-2294.66042208286
678869593932.4682823499-5237.4682823499
688467090125.9517562222-5455.9517562222
698759086175.45358092681414.54641907316
707619086752.6464037185-10562.6464037185
718317579436.81215008933738.1878499107
728723581545.29573532025689.70426467978
738798084939.83792624893040.16207375114
748392086588.3192026931-2668.31920269312
758427584474.8841480856-199.884148085577
768317583988.159543136-813.159543136033
778687583097.28353392553777.7164660745
788427585231.8166653473-956.816665347287
797915084246.2699288544-5096.26992885442
807544580532.8037897227-5087.80378972267
818171076824.91687657394885.08312342614
826810579689.2099057715-11584.2099057715
837694071700.16044209375239.83955790626
848096574798.23965009936166.76034990069
858096578507.16407176692457.83592823308
867619079771.8896466969-3581.88964669693
877177577056.407321295-5281.40732129499
887142073220.9347593719-1800.93475937186
897544571679.11018128373765.88981871626
907177573805.8494958068-2030.84949580679
916479572112.5100121144-7317.51001211444
925998566935.2360859827-6950.2360859827
936515061999.99742523513150.00257476491
945300563720.8641146402-10715.8641146402
956404556304.05866026437740.94133973573
966992061050.37584664648869.62415335358
977177566540.50037923955234.49962076054
986771569635.0605432502-1920.06054325023
996258568014.7315065996-5429.73150659962
1006625564081.51260060252173.48739939753
1016771565158.85114165522556.14885834482
1026661066488.3654054554121.634594544608
1035556566213.5231821878-10648.5231821878
1045044058841.0957228114-8401.0957228114
1055410552949.73365593611155.26634406386
1064306553356.0596752369-10291.0596752369
1075446546219.20236831128245.79763168885
1085852551298.22225398567226.77774601437
1096183555705.70318491156129.2968150885
1105631559389.9389588278-3074.93895882784
1115115057008.5395495953-5858.53954959525
1125410552792.73410232521312.26589767483
1135556553302.52357470482262.47642529519
1145264554438.5063073729-1793.50630737293
1154160552901.5771145083-11296.5771145083
1163679545102.0790292793-8307.07902927931
1174121039272.67441092011937.32558907994
1182906540194.3811949465-11129.3811949465
1194231532505.06601648829809.93398351178
1205044038614.859202619211825.1407973808

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 94605 & 94610 & -5 \tabularnewline
4 & 93860 & 94251.7049762022 & -391.704976202192 \tabularnewline
5 & 101230 & 93638.5695325405 & 7591.43046745948 \tabularnewline
6 & 100840 & 98286.3583424862 & 2553.64165751376 \tabularnewline
7 & 95320 & 99614.2203490056 & -4294.2203490056 \tabularnewline
8 & 91650 & 96429.3087003996 & -4779.30870039956 \tabularnewline
9 & 92005 & 92924.7215194164 & -919.721519416431 \tabularnewline
10 & 92005 & 91963.6206606487 & 41.3793393513188 \tabularnewline
11 & 92400 & 91635.8898422288 & 764.11015777124 \tabularnewline
12 & 93110 & 91784.4420730303 & 1325.55792696972 \tabularnewline
13 & 94215 & 92302.9910559795 & 1912.00894402049 \tabularnewline
14 & 94215 & 93208.0140504156 & 1006.98594958437 \tabularnewline
15 & 93505 & 93516.6225840046 & -11.6225840045809 \tabularnewline
16 & 91650 & 93153.9632458271 & -1503.96324582714 \tabularnewline
17 & 101230 & 91807.8443086196 & 9422.15569138044 \tabularnewline
18 & 102690 & 97662.0897545808 & 5027.91024541916 \tabularnewline
19 & 100485 & 100620.506536967 & -135.506536966554 \tabularnewline
20 & 95320 & 100176.207084154 & -4856.20708415372 \tabularnewline
21 & 97530 & 96620.9435022739 & 909.056497726095 \tabularnewline
22 & 94215 & 96865.0160609869 & -2650.01606098688 \tabularnewline
23 & 95710 & 94763.6428638787 & 946.357136121296 \tabularnewline
24 & 96425 & 95032.2967208288 & 1392.70327917115 \tabularnewline
25 & 97170 & 95595.0948104613 & 1574.90518953867 \tabularnewline
26 & 95320 & 96277.9648262274 & -957.964826227442 \tabularnewline
27 & 95710 & 95291.6614462498 & 418.338553750174 \tabularnewline
28 & 93110 & 95212.3485442798 & -2102.3485442798 \tabularnewline
29 & 101230 & 93471.8908473395 & 7758.10915266047 \tabularnewline
30 & 103795 & 98229.5217041504 & 5565.47829584964 \tabularnewline
31 & 101590 & 101542.198390359 & 47.8016096413485 \tabularnewline
32 & 97530 & 101218.699878627 & -3688.69987862706 \tabularnewline
33 & 101945 & 98432.8291020132 & 3512.17089798683 \tabularnewline
34 & 97170 & 100392.366440184 & -3222.36644018439 \tabularnewline
35 & 101590 & 97913.8116190475 & 3676.18838095252 \tabularnewline
36 & 101230 & 99981.4372591446 & 1248.56274085541 \tabularnewline
37 & 102335 & 100449.246047981 & 1885.75395201895 \tabularnewline
38 & 98275 & 101336.966877726 & -3061.96687772588 \tabularnewline
39 & 102690 & 98964.1161316809 & 3725.88386831907 \tabularnewline
40 & 102335 & 101064.491334481 & 1270.5086655186 \tabularnewline
41 & 108960 & 101546.762592124 & 7413.23740787608 \tabularnewline
42 & 107465 & 106077.121327683 & 1387.87867231687 \tabularnewline
43 & 101590 & 106636.739978436 & -5046.73997843562 \tabularnewline
44 & 98630 & 102955.914312371 & -4325.91431237076 \tabularnewline
45 & 102690 & 99750.1161910577 & 2939.88380894234 \tabularnewline
46 & 97170 & 101332.513613712 & -4162.51361371223 \tabularnewline
47 & 101230 & 98234.397330531 & 2995.60266946902 \tabularnewline
48 & 101945 & 99853.51374747 & 2091.48625252995 \tabularnewline
49 & 103440 & 100876.813142447 & 2563.18685755259 \tabularnewline
50 & 100130 & 102210.965481223 & -2080.96548122335 \tabularnewline
51 & 101945 & 100484.599324611 & 1460.40067538869 \tabularnewline
52 & 103050 & 101092.010320561 & 1957.98967943885 \tabularnewline
53 & 107110 & 102027.334838486 & 5082.66516151384 \tabularnewline
54 & 103795 & 105021.835371188 & -1226.83537118773 \tabularnewline
55 & 99380 & 103858.345022375 & -4478.34502237504 \tabularnewline
56 & 94605 & 100552.094337666 & -5947.09433766559 \tabularnewline
57 & 99025 & 96277.9308635751 & 2747.06913642492 \tabularnewline
58 & 86875 & 97733.2624993271 & -10858.2624993271 \tabularnewline
59 & 92755 & 90222.6158316885 & 2532.38416831153 \tabularnewline
60 & 96065 & 91536.4690516472 & 4528.5309483528 \tabularnewline
61 & 99380 & 94165.7925004391 & 5214.20749956093 \tabularnewline
62 & 94605 & 97246.9800599977 & -2641.98005999769 \tabularnewline
63 & 94605 & 95150.9026257893 & -545.902625789255 \tabularnewline
64 & 94605 & 94436.1501971363 & 168.849802863682 \tabularnewline
65 & 97170 & 94192.4230208747 & 2977.57697912527 \tabularnewline
66 & 93505 & 95799.6604220829 & -2294.66042208286 \tabularnewline
67 & 88695 & 93932.4682823499 & -5237.4682823499 \tabularnewline
68 & 84670 & 90125.9517562222 & -5455.9517562222 \tabularnewline
69 & 87590 & 86175.4535809268 & 1414.54641907316 \tabularnewline
70 & 76190 & 86752.6464037185 & -10562.6464037185 \tabularnewline
71 & 83175 & 79436.8121500893 & 3738.1878499107 \tabularnewline
72 & 87235 & 81545.2957353202 & 5689.70426467978 \tabularnewline
73 & 87980 & 84939.8379262489 & 3040.16207375114 \tabularnewline
74 & 83920 & 86588.3192026931 & -2668.31920269312 \tabularnewline
75 & 84275 & 84474.8841480856 & -199.884148085577 \tabularnewline
76 & 83175 & 83988.159543136 & -813.159543136033 \tabularnewline
77 & 86875 & 83097.2835339255 & 3777.7164660745 \tabularnewline
78 & 84275 & 85231.8166653473 & -956.816665347287 \tabularnewline
79 & 79150 & 84246.2699288544 & -5096.26992885442 \tabularnewline
80 & 75445 & 80532.8037897227 & -5087.80378972267 \tabularnewline
81 & 81710 & 76824.9168765739 & 4885.08312342614 \tabularnewline
82 & 68105 & 79689.2099057715 & -11584.2099057715 \tabularnewline
83 & 76940 & 71700.1604420937 & 5239.83955790626 \tabularnewline
84 & 80965 & 74798.2396500993 & 6166.76034990069 \tabularnewline
85 & 80965 & 78507.1640717669 & 2457.83592823308 \tabularnewline
86 & 76190 & 79771.8896466969 & -3581.88964669693 \tabularnewline
87 & 71775 & 77056.407321295 & -5281.40732129499 \tabularnewline
88 & 71420 & 73220.9347593719 & -1800.93475937186 \tabularnewline
89 & 75445 & 71679.1101812837 & 3765.88981871626 \tabularnewline
90 & 71775 & 73805.8494958068 & -2030.84949580679 \tabularnewline
91 & 64795 & 72112.5100121144 & -7317.51001211444 \tabularnewline
92 & 59985 & 66935.2360859827 & -6950.2360859827 \tabularnewline
93 & 65150 & 61999.9974252351 & 3150.00257476491 \tabularnewline
94 & 53005 & 63720.8641146402 & -10715.8641146402 \tabularnewline
95 & 64045 & 56304.0586602643 & 7740.94133973573 \tabularnewline
96 & 69920 & 61050.3758466464 & 8869.62415335358 \tabularnewline
97 & 71775 & 66540.5003792395 & 5234.49962076054 \tabularnewline
98 & 67715 & 69635.0605432502 & -1920.06054325023 \tabularnewline
99 & 62585 & 68014.7315065996 & -5429.73150659962 \tabularnewline
100 & 66255 & 64081.5126006025 & 2173.48739939753 \tabularnewline
101 & 67715 & 65158.8511416552 & 2556.14885834482 \tabularnewline
102 & 66610 & 66488.3654054554 & 121.634594544608 \tabularnewline
103 & 55565 & 66213.5231821878 & -10648.5231821878 \tabularnewline
104 & 50440 & 58841.0957228114 & -8401.0957228114 \tabularnewline
105 & 54105 & 52949.7336559361 & 1155.26634406386 \tabularnewline
106 & 43065 & 53356.0596752369 & -10291.0596752369 \tabularnewline
107 & 54465 & 46219.2023683112 & 8245.79763168885 \tabularnewline
108 & 58525 & 51298.2222539856 & 7226.77774601437 \tabularnewline
109 & 61835 & 55705.7031849115 & 6129.2968150885 \tabularnewline
110 & 56315 & 59389.9389588278 & -3074.93895882784 \tabularnewline
111 & 51150 & 57008.5395495953 & -5858.53954959525 \tabularnewline
112 & 54105 & 52792.7341023252 & 1312.26589767483 \tabularnewline
113 & 55565 & 53302.5235747048 & 2262.47642529519 \tabularnewline
114 & 52645 & 54438.5063073729 & -1793.50630737293 \tabularnewline
115 & 41605 & 52901.5771145083 & -11296.5771145083 \tabularnewline
116 & 36795 & 45102.0790292793 & -8307.07902927931 \tabularnewline
117 & 41210 & 39272.6744109201 & 1937.32558907994 \tabularnewline
118 & 29065 & 40194.3811949465 & -11129.3811949465 \tabularnewline
119 & 42315 & 32505.0660164882 & 9809.93398351178 \tabularnewline
120 & 50440 & 38614.8592026192 & 11825.1407973808 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280211&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]3[/C][C]94605[/C][C]94610[/C][C]-5[/C][/ROW]
[ROW][C]4[/C][C]93860[/C][C]94251.7049762022[/C][C]-391.704976202192[/C][/ROW]
[ROW][C]5[/C][C]101230[/C][C]93638.5695325405[/C][C]7591.43046745948[/C][/ROW]
[ROW][C]6[/C][C]100840[/C][C]98286.3583424862[/C][C]2553.64165751376[/C][/ROW]
[ROW][C]7[/C][C]95320[/C][C]99614.2203490056[/C][C]-4294.2203490056[/C][/ROW]
[ROW][C]8[/C][C]91650[/C][C]96429.3087003996[/C][C]-4779.30870039956[/C][/ROW]
[ROW][C]9[/C][C]92005[/C][C]92924.7215194164[/C][C]-919.721519416431[/C][/ROW]
[ROW][C]10[/C][C]92005[/C][C]91963.6206606487[/C][C]41.3793393513188[/C][/ROW]
[ROW][C]11[/C][C]92400[/C][C]91635.8898422288[/C][C]764.11015777124[/C][/ROW]
[ROW][C]12[/C][C]93110[/C][C]91784.4420730303[/C][C]1325.55792696972[/C][/ROW]
[ROW][C]13[/C][C]94215[/C][C]92302.9910559795[/C][C]1912.00894402049[/C][/ROW]
[ROW][C]14[/C][C]94215[/C][C]93208.0140504156[/C][C]1006.98594958437[/C][/ROW]
[ROW][C]15[/C][C]93505[/C][C]93516.6225840046[/C][C]-11.6225840045809[/C][/ROW]
[ROW][C]16[/C][C]91650[/C][C]93153.9632458271[/C][C]-1503.96324582714[/C][/ROW]
[ROW][C]17[/C][C]101230[/C][C]91807.8443086196[/C][C]9422.15569138044[/C][/ROW]
[ROW][C]18[/C][C]102690[/C][C]97662.0897545808[/C][C]5027.91024541916[/C][/ROW]
[ROW][C]19[/C][C]100485[/C][C]100620.506536967[/C][C]-135.506536966554[/C][/ROW]
[ROW][C]20[/C][C]95320[/C][C]100176.207084154[/C][C]-4856.20708415372[/C][/ROW]
[ROW][C]21[/C][C]97530[/C][C]96620.9435022739[/C][C]909.056497726095[/C][/ROW]
[ROW][C]22[/C][C]94215[/C][C]96865.0160609869[/C][C]-2650.01606098688[/C][/ROW]
[ROW][C]23[/C][C]95710[/C][C]94763.6428638787[/C][C]946.357136121296[/C][/ROW]
[ROW][C]24[/C][C]96425[/C][C]95032.2967208288[/C][C]1392.70327917115[/C][/ROW]
[ROW][C]25[/C][C]97170[/C][C]95595.0948104613[/C][C]1574.90518953867[/C][/ROW]
[ROW][C]26[/C][C]95320[/C][C]96277.9648262274[/C][C]-957.964826227442[/C][/ROW]
[ROW][C]27[/C][C]95710[/C][C]95291.6614462498[/C][C]418.338553750174[/C][/ROW]
[ROW][C]28[/C][C]93110[/C][C]95212.3485442798[/C][C]-2102.3485442798[/C][/ROW]
[ROW][C]29[/C][C]101230[/C][C]93471.8908473395[/C][C]7758.10915266047[/C][/ROW]
[ROW][C]30[/C][C]103795[/C][C]98229.5217041504[/C][C]5565.47829584964[/C][/ROW]
[ROW][C]31[/C][C]101590[/C][C]101542.198390359[/C][C]47.8016096413485[/C][/ROW]
[ROW][C]32[/C][C]97530[/C][C]101218.699878627[/C][C]-3688.69987862706[/C][/ROW]
[ROW][C]33[/C][C]101945[/C][C]98432.8291020132[/C][C]3512.17089798683[/C][/ROW]
[ROW][C]34[/C][C]97170[/C][C]100392.366440184[/C][C]-3222.36644018439[/C][/ROW]
[ROW][C]35[/C][C]101590[/C][C]97913.8116190475[/C][C]3676.18838095252[/C][/ROW]
[ROW][C]36[/C][C]101230[/C][C]99981.4372591446[/C][C]1248.56274085541[/C][/ROW]
[ROW][C]37[/C][C]102335[/C][C]100449.246047981[/C][C]1885.75395201895[/C][/ROW]
[ROW][C]38[/C][C]98275[/C][C]101336.966877726[/C][C]-3061.96687772588[/C][/ROW]
[ROW][C]39[/C][C]102690[/C][C]98964.1161316809[/C][C]3725.88386831907[/C][/ROW]
[ROW][C]40[/C][C]102335[/C][C]101064.491334481[/C][C]1270.5086655186[/C][/ROW]
[ROW][C]41[/C][C]108960[/C][C]101546.762592124[/C][C]7413.23740787608[/C][/ROW]
[ROW][C]42[/C][C]107465[/C][C]106077.121327683[/C][C]1387.87867231687[/C][/ROW]
[ROW][C]43[/C][C]101590[/C][C]106636.739978436[/C][C]-5046.73997843562[/C][/ROW]
[ROW][C]44[/C][C]98630[/C][C]102955.914312371[/C][C]-4325.91431237076[/C][/ROW]
[ROW][C]45[/C][C]102690[/C][C]99750.1161910577[/C][C]2939.88380894234[/C][/ROW]
[ROW][C]46[/C][C]97170[/C][C]101332.513613712[/C][C]-4162.51361371223[/C][/ROW]
[ROW][C]47[/C][C]101230[/C][C]98234.397330531[/C][C]2995.60266946902[/C][/ROW]
[ROW][C]48[/C][C]101945[/C][C]99853.51374747[/C][C]2091.48625252995[/C][/ROW]
[ROW][C]49[/C][C]103440[/C][C]100876.813142447[/C][C]2563.18685755259[/C][/ROW]
[ROW][C]50[/C][C]100130[/C][C]102210.965481223[/C][C]-2080.96548122335[/C][/ROW]
[ROW][C]51[/C][C]101945[/C][C]100484.599324611[/C][C]1460.40067538869[/C][/ROW]
[ROW][C]52[/C][C]103050[/C][C]101092.010320561[/C][C]1957.98967943885[/C][/ROW]
[ROW][C]53[/C][C]107110[/C][C]102027.334838486[/C][C]5082.66516151384[/C][/ROW]
[ROW][C]54[/C][C]103795[/C][C]105021.835371188[/C][C]-1226.83537118773[/C][/ROW]
[ROW][C]55[/C][C]99380[/C][C]103858.345022375[/C][C]-4478.34502237504[/C][/ROW]
[ROW][C]56[/C][C]94605[/C][C]100552.094337666[/C][C]-5947.09433766559[/C][/ROW]
[ROW][C]57[/C][C]99025[/C][C]96277.9308635751[/C][C]2747.06913642492[/C][/ROW]
[ROW][C]58[/C][C]86875[/C][C]97733.2624993271[/C][C]-10858.2624993271[/C][/ROW]
[ROW][C]59[/C][C]92755[/C][C]90222.6158316885[/C][C]2532.38416831153[/C][/ROW]
[ROW][C]60[/C][C]96065[/C][C]91536.4690516472[/C][C]4528.5309483528[/C][/ROW]
[ROW][C]61[/C][C]99380[/C][C]94165.7925004391[/C][C]5214.20749956093[/C][/ROW]
[ROW][C]62[/C][C]94605[/C][C]97246.9800599977[/C][C]-2641.98005999769[/C][/ROW]
[ROW][C]63[/C][C]94605[/C][C]95150.9026257893[/C][C]-545.902625789255[/C][/ROW]
[ROW][C]64[/C][C]94605[/C][C]94436.1501971363[/C][C]168.849802863682[/C][/ROW]
[ROW][C]65[/C][C]97170[/C][C]94192.4230208747[/C][C]2977.57697912527[/C][/ROW]
[ROW][C]66[/C][C]93505[/C][C]95799.6604220829[/C][C]-2294.66042208286[/C][/ROW]
[ROW][C]67[/C][C]88695[/C][C]93932.4682823499[/C][C]-5237.4682823499[/C][/ROW]
[ROW][C]68[/C][C]84670[/C][C]90125.9517562222[/C][C]-5455.9517562222[/C][/ROW]
[ROW][C]69[/C][C]87590[/C][C]86175.4535809268[/C][C]1414.54641907316[/C][/ROW]
[ROW][C]70[/C][C]76190[/C][C]86752.6464037185[/C][C]-10562.6464037185[/C][/ROW]
[ROW][C]71[/C][C]83175[/C][C]79436.8121500893[/C][C]3738.1878499107[/C][/ROW]
[ROW][C]72[/C][C]87235[/C][C]81545.2957353202[/C][C]5689.70426467978[/C][/ROW]
[ROW][C]73[/C][C]87980[/C][C]84939.8379262489[/C][C]3040.16207375114[/C][/ROW]
[ROW][C]74[/C][C]83920[/C][C]86588.3192026931[/C][C]-2668.31920269312[/C][/ROW]
[ROW][C]75[/C][C]84275[/C][C]84474.8841480856[/C][C]-199.884148085577[/C][/ROW]
[ROW][C]76[/C][C]83175[/C][C]83988.159543136[/C][C]-813.159543136033[/C][/ROW]
[ROW][C]77[/C][C]86875[/C][C]83097.2835339255[/C][C]3777.7164660745[/C][/ROW]
[ROW][C]78[/C][C]84275[/C][C]85231.8166653473[/C][C]-956.816665347287[/C][/ROW]
[ROW][C]79[/C][C]79150[/C][C]84246.2699288544[/C][C]-5096.26992885442[/C][/ROW]
[ROW][C]80[/C][C]75445[/C][C]80532.8037897227[/C][C]-5087.80378972267[/C][/ROW]
[ROW][C]81[/C][C]81710[/C][C]76824.9168765739[/C][C]4885.08312342614[/C][/ROW]
[ROW][C]82[/C][C]68105[/C][C]79689.2099057715[/C][C]-11584.2099057715[/C][/ROW]
[ROW][C]83[/C][C]76940[/C][C]71700.1604420937[/C][C]5239.83955790626[/C][/ROW]
[ROW][C]84[/C][C]80965[/C][C]74798.2396500993[/C][C]6166.76034990069[/C][/ROW]
[ROW][C]85[/C][C]80965[/C][C]78507.1640717669[/C][C]2457.83592823308[/C][/ROW]
[ROW][C]86[/C][C]76190[/C][C]79771.8896466969[/C][C]-3581.88964669693[/C][/ROW]
[ROW][C]87[/C][C]71775[/C][C]77056.407321295[/C][C]-5281.40732129499[/C][/ROW]
[ROW][C]88[/C][C]71420[/C][C]73220.9347593719[/C][C]-1800.93475937186[/C][/ROW]
[ROW][C]89[/C][C]75445[/C][C]71679.1101812837[/C][C]3765.88981871626[/C][/ROW]
[ROW][C]90[/C][C]71775[/C][C]73805.8494958068[/C][C]-2030.84949580679[/C][/ROW]
[ROW][C]91[/C][C]64795[/C][C]72112.5100121144[/C][C]-7317.51001211444[/C][/ROW]
[ROW][C]92[/C][C]59985[/C][C]66935.2360859827[/C][C]-6950.2360859827[/C][/ROW]
[ROW][C]93[/C][C]65150[/C][C]61999.9974252351[/C][C]3150.00257476491[/C][/ROW]
[ROW][C]94[/C][C]53005[/C][C]63720.8641146402[/C][C]-10715.8641146402[/C][/ROW]
[ROW][C]95[/C][C]64045[/C][C]56304.0586602643[/C][C]7740.94133973573[/C][/ROW]
[ROW][C]96[/C][C]69920[/C][C]61050.3758466464[/C][C]8869.62415335358[/C][/ROW]
[ROW][C]97[/C][C]71775[/C][C]66540.5003792395[/C][C]5234.49962076054[/C][/ROW]
[ROW][C]98[/C][C]67715[/C][C]69635.0605432502[/C][C]-1920.06054325023[/C][/ROW]
[ROW][C]99[/C][C]62585[/C][C]68014.7315065996[/C][C]-5429.73150659962[/C][/ROW]
[ROW][C]100[/C][C]66255[/C][C]64081.5126006025[/C][C]2173.48739939753[/C][/ROW]
[ROW][C]101[/C][C]67715[/C][C]65158.8511416552[/C][C]2556.14885834482[/C][/ROW]
[ROW][C]102[/C][C]66610[/C][C]66488.3654054554[/C][C]121.634594544608[/C][/ROW]
[ROW][C]103[/C][C]55565[/C][C]66213.5231821878[/C][C]-10648.5231821878[/C][/ROW]
[ROW][C]104[/C][C]50440[/C][C]58841.0957228114[/C][C]-8401.0957228114[/C][/ROW]
[ROW][C]105[/C][C]54105[/C][C]52949.7336559361[/C][C]1155.26634406386[/C][/ROW]
[ROW][C]106[/C][C]43065[/C][C]53356.0596752369[/C][C]-10291.0596752369[/C][/ROW]
[ROW][C]107[/C][C]54465[/C][C]46219.2023683112[/C][C]8245.79763168885[/C][/ROW]
[ROW][C]108[/C][C]58525[/C][C]51298.2222539856[/C][C]7226.77774601437[/C][/ROW]
[ROW][C]109[/C][C]61835[/C][C]55705.7031849115[/C][C]6129.2968150885[/C][/ROW]
[ROW][C]110[/C][C]56315[/C][C]59389.9389588278[/C][C]-3074.93895882784[/C][/ROW]
[ROW][C]111[/C][C]51150[/C][C]57008.5395495953[/C][C]-5858.53954959525[/C][/ROW]
[ROW][C]112[/C][C]54105[/C][C]52792.7341023252[/C][C]1312.26589767483[/C][/ROW]
[ROW][C]113[/C][C]55565[/C][C]53302.5235747048[/C][C]2262.47642529519[/C][/ROW]
[ROW][C]114[/C][C]52645[/C][C]54438.5063073729[/C][C]-1793.50630737293[/C][/ROW]
[ROW][C]115[/C][C]41605[/C][C]52901.5771145083[/C][C]-11296.5771145083[/C][/ROW]
[ROW][C]116[/C][C]36795[/C][C]45102.0790292793[/C][C]-8307.07902927931[/C][/ROW]
[ROW][C]117[/C][C]41210[/C][C]39272.6744109201[/C][C]1937.32558907994[/C][/ROW]
[ROW][C]118[/C][C]29065[/C][C]40194.3811949465[/C][C]-11129.3811949465[/C][/ROW]
[ROW][C]119[/C][C]42315[/C][C]32505.0660164882[/C][C]9809.93398351178[/C][/ROW]
[ROW][C]120[/C][C]50440[/C][C]38614.8592026192[/C][C]11825.1407973808[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280211&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280211&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
39460594610-5
49386094251.7049762022-391.704976202192
510123093638.56953254057591.43046745948
610084098286.35834248622553.64165751376
79532099614.2203490056-4294.2203490056
89165096429.3087003996-4779.30870039956
99200592924.7215194164-919.721519416431
109200591963.620660648741.3793393513188
119240091635.8898422288764.11015777124
129311091784.44207303031325.55792696972
139421592302.99105597951912.00894402049
149421593208.01405041561006.98594958437
159350593516.6225840046-11.6225840045809
169165093153.9632458271-1503.96324582714
1710123091807.84430861969422.15569138044
1810269097662.08975458085027.91024541916
19100485100620.506536967-135.506536966554
2095320100176.207084154-4856.20708415372
219753096620.9435022739909.056497726095
229421596865.0160609869-2650.01606098688
239571094763.6428638787946.357136121296
249642595032.29672082881392.70327917115
259717095595.09481046131574.90518953867
269532096277.9648262274-957.964826227442
279571095291.6614462498418.338553750174
289311095212.3485442798-2102.3485442798
2910123093471.89084733957758.10915266047
3010379598229.52170415045565.47829584964
31101590101542.19839035947.8016096413485
3297530101218.699878627-3688.69987862706
3310194598432.82910201323512.17089798683
3497170100392.366440184-3222.36644018439
3510159097913.81161904753676.18838095252
3610123099981.43725914461248.56274085541
37102335100449.2460479811885.75395201895
3898275101336.966877726-3061.96687772588
3910269098964.11613168093725.88386831907
40102335101064.4913344811270.5086655186
41108960101546.7625921247413.23740787608
42107465106077.1213276831387.87867231687
43101590106636.739978436-5046.73997843562
4498630102955.914312371-4325.91431237076
4510269099750.11619105772939.88380894234
4697170101332.513613712-4162.51361371223
4710123098234.3973305312995.60266946902
4810194599853.513747472091.48625252995
49103440100876.8131424472563.18685755259
50100130102210.965481223-2080.96548122335
51101945100484.5993246111460.40067538869
52103050101092.0103205611957.98967943885
53107110102027.3348384865082.66516151384
54103795105021.835371188-1226.83537118773
5599380103858.345022375-4478.34502237504
5694605100552.094337666-5947.09433766559
579902596277.93086357512747.06913642492
588687597733.2624993271-10858.2624993271
599275590222.61583168852532.38416831153
609606591536.46905164724528.5309483528
619938094165.79250043915214.20749956093
629460597246.9800599977-2641.98005999769
639460595150.9026257893-545.902625789255
649460594436.1501971363168.849802863682
659717094192.42302087472977.57697912527
669350595799.6604220829-2294.66042208286
678869593932.4682823499-5237.4682823499
688467090125.9517562222-5455.9517562222
698759086175.45358092681414.54641907316
707619086752.6464037185-10562.6464037185
718317579436.81215008933738.1878499107
728723581545.29573532025689.70426467978
738798084939.83792624893040.16207375114
748392086588.3192026931-2668.31920269312
758427584474.8841480856-199.884148085577
768317583988.159543136-813.159543136033
778687583097.28353392553777.7164660745
788427585231.8166653473-956.816665347287
797915084246.2699288544-5096.26992885442
807544580532.8037897227-5087.80378972267
818171076824.91687657394885.08312342614
826810579689.2099057715-11584.2099057715
837694071700.16044209375239.83955790626
848096574798.23965009936166.76034990069
858096578507.16407176692457.83592823308
867619079771.8896466969-3581.88964669693
877177577056.407321295-5281.40732129499
887142073220.9347593719-1800.93475937186
897544571679.11018128373765.88981871626
907177573805.8494958068-2030.84949580679
916479572112.5100121144-7317.51001211444
925998566935.2360859827-6950.2360859827
936515061999.99742523513150.00257476491
945300563720.8641146402-10715.8641146402
956404556304.05866026437740.94133973573
966992061050.37584664648869.62415335358
977177566540.50037923955234.49962076054
986771569635.0605432502-1920.06054325023
996258568014.7315065996-5429.73150659962
1006625564081.51260060252173.48739939753
1016771565158.85114165522556.14885834482
1026661066488.3654054554121.634594544608
1035556566213.5231821878-10648.5231821878
1045044058841.0957228114-8401.0957228114
1055410552949.73365593611155.26634406386
1064306553356.0596752369-10291.0596752369
1075446546219.20236831128245.79763168885
1085852551298.22225398567226.77774601437
1096183555705.70318491156129.2968150885
1105631559389.9389588278-3074.93895882784
1115115057008.5395495953-5858.53954959525
1125410552792.73410232521312.26589767483
1135556553302.52357470482262.47642529519
1145264554438.5063073729-1793.50630737293
1154160552901.5771145083-11296.5771145083
1163679545102.0790292793-8307.07902927931
1174121039272.67441092011937.32558907994
1182906540194.3811949465-11129.3811949465
1194231532505.06601648829809.93398351178
1205044038614.859202619211825.1407973808







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
12146052.683270593236167.084945059755938.2815961267
12245697.683270593233858.519381964957536.8471592215
12345342.683270593231829.484207832158855.8823333543
12444987.683270593229986.106812173359989.2597290131
12544632.683270593228277.621559739760987.7449814467
12644277.683270593226672.888727803661882.4778133828
12743922.683270593225151.174587968862694.1919532176
12843567.683270593223697.849714424463437.516826762
12943212.683270593222302.134906720564123.2316344659
13042857.683270593220955.816222191464759.550318995
13142502.683270593219652.463850774165352.9026904123
13242147.683270593218386.932548827565908.4339923588

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 46052.6832705932 & 36167.0849450597 & 55938.2815961267 \tabularnewline
122 & 45697.6832705932 & 33858.5193819649 & 57536.8471592215 \tabularnewline
123 & 45342.6832705932 & 31829.4842078321 & 58855.8823333543 \tabularnewline
124 & 44987.6832705932 & 29986.1068121733 & 59989.2597290131 \tabularnewline
125 & 44632.6832705932 & 28277.6215597397 & 60987.7449814467 \tabularnewline
126 & 44277.6832705932 & 26672.8887278036 & 61882.4778133828 \tabularnewline
127 & 43922.6832705932 & 25151.1745879688 & 62694.1919532176 \tabularnewline
128 & 43567.6832705932 & 23697.8497144244 & 63437.516826762 \tabularnewline
129 & 43212.6832705932 & 22302.1349067205 & 64123.2316344659 \tabularnewline
130 & 42857.6832705932 & 20955.8162221914 & 64759.550318995 \tabularnewline
131 & 42502.6832705932 & 19652.4638507741 & 65352.9026904123 \tabularnewline
132 & 42147.6832705932 & 18386.9325488275 & 65908.4339923588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280211&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]46052.6832705932[/C][C]36167.0849450597[/C][C]55938.2815961267[/C][/ROW]
[ROW][C]122[/C][C]45697.6832705932[/C][C]33858.5193819649[/C][C]57536.8471592215[/C][/ROW]
[ROW][C]123[/C][C]45342.6832705932[/C][C]31829.4842078321[/C][C]58855.8823333543[/C][/ROW]
[ROW][C]124[/C][C]44987.6832705932[/C][C]29986.1068121733[/C][C]59989.2597290131[/C][/ROW]
[ROW][C]125[/C][C]44632.6832705932[/C][C]28277.6215597397[/C][C]60987.7449814467[/C][/ROW]
[ROW][C]126[/C][C]44277.6832705932[/C][C]26672.8887278036[/C][C]61882.4778133828[/C][/ROW]
[ROW][C]127[/C][C]43922.6832705932[/C][C]25151.1745879688[/C][C]62694.1919532176[/C][/ROW]
[ROW][C]128[/C][C]43567.6832705932[/C][C]23697.8497144244[/C][C]63437.516826762[/C][/ROW]
[ROW][C]129[/C][C]43212.6832705932[/C][C]22302.1349067205[/C][C]64123.2316344659[/C][/ROW]
[ROW][C]130[/C][C]42857.6832705932[/C][C]20955.8162221914[/C][C]64759.550318995[/C][/ROW]
[ROW][C]131[/C][C]42502.6832705932[/C][C]19652.4638507741[/C][C]65352.9026904123[/C][/ROW]
[ROW][C]132[/C][C]42147.6832705932[/C][C]18386.9325488275[/C][C]65908.4339923588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280211&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280211&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
12146052.683270593236167.084945059755938.2815961267
12245697.683270593233858.519381964957536.8471592215
12345342.683270593231829.484207832158855.8823333543
12444987.683270593229986.106812173359989.2597290131
12544632.683270593228277.621559739760987.7449814467
12644277.683270593226672.888727803661882.4778133828
12743922.683270593225151.174587968862694.1919532176
12843567.683270593223697.849714424463437.516826762
12943212.683270593222302.134906720564123.2316344659
13042857.683270593220955.816222191464759.550318995
13142502.683270593219652.463850774165352.9026904123
13242147.683270593218386.932548827565908.4339923588



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