Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationThu, 02 Apr 2015 15:38:12 +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/Apr/02/t1427985504ep0jxaxp362d5j5.htm/, Retrieved Thu, 09 May 2024 07:04:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278565, Retrieved Thu, 09 May 2024 07:04:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-04-02 14:38:12] [d95fe07e11cd60b998b93c9c7758de3b] [Current]
Feedback Forum

Post a new message
Dataseries X:
81
85
90
84
94
131
130
99
101
82
90
85
105
110
115
110
114
149
147
113
113
107
109
103
113
112
114
106
107
134
135
105
105
90
92
83
95
98
95
81
83
106
114
80
82
76
78
70
82
86
87
74
79
110
117
82
71
67
66
57
71
77
76
69
74
101
105
73
68
65
70
65
80
92
93
90
96
125
134
100
97
97
101
90
108
113
112
103
103
125
128
91
84
83
83
69
77
83
78
70
75
101
117
80
87
81
78
73
93
105
102
97
100
127
138
107
107
106
109
107
129
138
137
134
134
166
180
131
135
127
121
116




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278565&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278565&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278565&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'Herman Ole Andreas Wold' @ wold.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.999949870102433
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.999949870102433 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278565&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]0.999949870102433[/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=278565&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278565&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
alpha0.999949870102433
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
285814
39084.99979948040975.00020051959027
48489.9997493404601-5.99974934046014
59484.00030076681999.99969923318014
613193.999498716101837.0005012838982
7130130.998145168661-0.998145168660727
899130.000050036915-31.000050036915
910199.00155402933291.99844597066709
1082100.999899818108-18.9998998181082
119082.00095246303177.99904753696833
128589.9995990085663-4.99959900856635
1310585.000250629386219.9997493706138
14110104.9989974146135.0010025853873
15115109.9997493002535.00025069974734
16110114.999749337945-4.99974933794462
17114110.0002506369223.99974936307784
18149113.99979949297435.0002005070259
19147148.998245443534-1.99824544353376
20113147.000100171839-34.0001001718394
21113113.001704421539-0.00170442153887507
22107113.000000085442-6.00000008544248
23109107.000300779391.99969922061031
24103108.999899755283-5.99989975528291
25113103.000300774369.99969922563986
26112112.999498716102-0.999498716102124
27114112.0000501047681.99994989523175
28106113.999899742717-7.99989974271661
29107106.0004010341550.999598965845365
30134106.99994989020627.0000501097938
31135133.9986464902541.00135350974631
32105134.999949802251-29.9999498022511
33105105.001503894411-0.00150389441058962
3490105.00000007539-15.0000000753901
359290.00075194846731.99924805153272
368391.9998997779-8.99989977789997
379583.00045116405411.999548835946
389894.9993984638463.00060153615399
399597.9998495801523-2.99984958015234
408195.0001503821522-14.0001503821522
418381.00070182610461.99929817389543
4210682.999899775387323.0001002246127
43114105.9988470073328.00115299266828
4480113.99959890302-33.9995989030201
458280.00170439641031.99829560358968
467681.9998998256461-5.99989982564608
477876.00030077436371.99969922563633
487077.9998997552827-7.99989975528266
498270.000401034155311.9995989658447
508681.9993984613334.000601538667
518785.99979945025471.00020054974533
527486.9999498600489-12.9999498600489
537974.00065168615494.99934831384515
5411078.999749383181131.0002506168189
55117109.9984459606127.00155403938797
5682116.999649012813-34.9996490128132
577182.0017545288199-11.0017545288199
586771.0005515168276-4.00055151682757
596667.0002005472377-1.00020054723774
605766.000050139951-9.00005013995099
617157.000451171591613.9995488284084
627770.99929820405126.00070179594876
637676.9996991854336-0.999699185433641
646976.0000501148178-7.00005011481777
657469.00035091179524.99964908820479
6610173.999749368103327.0002506318967
67105100.9986464802024.00135351979844
6873104.999799412558-31.9997994125579
696873.0016041466667-5.00160414666669
706568.0002507299035-3.00025072990354
717065.00015040226184.99984959773825
726569.9997493580518-4.99974935805182
738065.000250636923214.9997493630768
749279.999248064100912.0007519358991
759391.99939840353471.00060159646526
769092.9999498399445-2.99994983994446
779690.00015038717825.99984961282182
7812595.999699228153529.0003007718465
79134124.9985462178939.00145378210709
80100133.999548758044-33.9995487580439
8197100.001704393897-3.00170439389655
829797.0001504751338-0.000150475133793293
8310197.00000000754333.99999999245669
8490100.99979948041-10.9997994804101
8510890.000551418821217.9994485811788
86113107.9990976894865.00090231051364
87112112.999749305279-0.999749305279437
88103112.00005011733-9.00005011733026
89103103.00045117159-0.000451171590484023
90125103.00000002261721.9999999773828
91128124.9988971422553.00110285774532
9291127.999849555021-36.9998495550212
938491.0018547986682-7.00185479866818
948384.0003510022638-1.00035100226384
958383.0000501474933-5.01474932690371e-05
966983.0000000025139-14.0000000025139
977769.00070181856617.99929818143394
988376.99959899600166.00040100399845
997882.9996992005123-4.99969920051231
1007078.0002506344088-8.00025063440879
1017570.00040105174484.99959894825518
10210174.999749370616826.0002506293832
103117100.99869661009916.0013033899008
10480116.9991978563-36.9991978563001
1058780.00185476599866.99814523400141
1068186.9996491836963-5.99964918369626
1077881.000300761799-3.00030076179901
1087378.0001504047699-5.00015040476985
1099373.000250657027619.9997493429724
11010592.998997414614112.0010025853859
111102104.99939839097-2.9993983909697
11297102.000150359534-5.00015035953409
11310097.00025065702532.99974934297465
11412799.999849622872727.0001503771273
115138126.99864648522711.0013535147727
116107137.999448503275-30.9994485032752
117107107.001553999178-0.00155399917808552
118106107.000000077902-1.00000007790182
119109106.0000501299012.99994987009853
120107108.99984961282-1.99984961282031
121129107.00010025225621.9998997477438
122138128.9988971472799.00110285272083
123137137.999548775636-0.999548775635986
124134137.000050107278-3.00005010727773
125134134.000150392205-0.000150392204545824
126166134.00000000753931.9999999924609
127180165.99839584327814.0016041567218
128131179.999298101018-48.9992981010179
129135131.0024563297953.99754367020535
130127134.999799603545-7.99979960354531
131121127.000401029135-6.00040102913468
132116121.000300799489-5.00030079948895

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 85 & 81 & 4 \tabularnewline
3 & 90 & 84.9997994804097 & 5.00020051959027 \tabularnewline
4 & 84 & 89.9997493404601 & -5.99974934046014 \tabularnewline
5 & 94 & 84.0003007668199 & 9.99969923318014 \tabularnewline
6 & 131 & 93.9994987161018 & 37.0005012838982 \tabularnewline
7 & 130 & 130.998145168661 & -0.998145168660727 \tabularnewline
8 & 99 & 130.000050036915 & -31.000050036915 \tabularnewline
9 & 101 & 99.0015540293329 & 1.99844597066709 \tabularnewline
10 & 82 & 100.999899818108 & -18.9998998181082 \tabularnewline
11 & 90 & 82.0009524630317 & 7.99904753696833 \tabularnewline
12 & 85 & 89.9995990085663 & -4.99959900856635 \tabularnewline
13 & 105 & 85.0002506293862 & 19.9997493706138 \tabularnewline
14 & 110 & 104.998997414613 & 5.0010025853873 \tabularnewline
15 & 115 & 109.999749300253 & 5.00025069974734 \tabularnewline
16 & 110 & 114.999749337945 & -4.99974933794462 \tabularnewline
17 & 114 & 110.000250636922 & 3.99974936307784 \tabularnewline
18 & 149 & 113.999799492974 & 35.0002005070259 \tabularnewline
19 & 147 & 148.998245443534 & -1.99824544353376 \tabularnewline
20 & 113 & 147.000100171839 & -34.0001001718394 \tabularnewline
21 & 113 & 113.001704421539 & -0.00170442153887507 \tabularnewline
22 & 107 & 113.000000085442 & -6.00000008544248 \tabularnewline
23 & 109 & 107.00030077939 & 1.99969922061031 \tabularnewline
24 & 103 & 108.999899755283 & -5.99989975528291 \tabularnewline
25 & 113 & 103.00030077436 & 9.99969922563986 \tabularnewline
26 & 112 & 112.999498716102 & -0.999498716102124 \tabularnewline
27 & 114 & 112.000050104768 & 1.99994989523175 \tabularnewline
28 & 106 & 113.999899742717 & -7.99989974271661 \tabularnewline
29 & 107 & 106.000401034155 & 0.999598965845365 \tabularnewline
30 & 134 & 106.999949890206 & 27.0000501097938 \tabularnewline
31 & 135 & 133.998646490254 & 1.00135350974631 \tabularnewline
32 & 105 & 134.999949802251 & -29.9999498022511 \tabularnewline
33 & 105 & 105.001503894411 & -0.00150389441058962 \tabularnewline
34 & 90 & 105.00000007539 & -15.0000000753901 \tabularnewline
35 & 92 & 90.0007519484673 & 1.99924805153272 \tabularnewline
36 & 83 & 91.9998997779 & -8.99989977789997 \tabularnewline
37 & 95 & 83.000451164054 & 11.999548835946 \tabularnewline
38 & 98 & 94.999398463846 & 3.00060153615399 \tabularnewline
39 & 95 & 97.9998495801523 & -2.99984958015234 \tabularnewline
40 & 81 & 95.0001503821522 & -14.0001503821522 \tabularnewline
41 & 83 & 81.0007018261046 & 1.99929817389543 \tabularnewline
42 & 106 & 82.9998997753873 & 23.0001002246127 \tabularnewline
43 & 114 & 105.998847007332 & 8.00115299266828 \tabularnewline
44 & 80 & 113.99959890302 & -33.9995989030201 \tabularnewline
45 & 82 & 80.0017043964103 & 1.99829560358968 \tabularnewline
46 & 76 & 81.9998998256461 & -5.99989982564608 \tabularnewline
47 & 78 & 76.0003007743637 & 1.99969922563633 \tabularnewline
48 & 70 & 77.9998997552827 & -7.99989975528266 \tabularnewline
49 & 82 & 70.0004010341553 & 11.9995989658447 \tabularnewline
50 & 86 & 81.999398461333 & 4.000601538667 \tabularnewline
51 & 87 & 85.9997994502547 & 1.00020054974533 \tabularnewline
52 & 74 & 86.9999498600489 & -12.9999498600489 \tabularnewline
53 & 79 & 74.0006516861549 & 4.99934831384515 \tabularnewline
54 & 110 & 78.9997493831811 & 31.0002506168189 \tabularnewline
55 & 117 & 109.998445960612 & 7.00155403938797 \tabularnewline
56 & 82 & 116.999649012813 & -34.9996490128132 \tabularnewline
57 & 71 & 82.0017545288199 & -11.0017545288199 \tabularnewline
58 & 67 & 71.0005515168276 & -4.00055151682757 \tabularnewline
59 & 66 & 67.0002005472377 & -1.00020054723774 \tabularnewline
60 & 57 & 66.000050139951 & -9.00005013995099 \tabularnewline
61 & 71 & 57.0004511715916 & 13.9995488284084 \tabularnewline
62 & 77 & 70.9992982040512 & 6.00070179594876 \tabularnewline
63 & 76 & 76.9996991854336 & -0.999699185433641 \tabularnewline
64 & 69 & 76.0000501148178 & -7.00005011481777 \tabularnewline
65 & 74 & 69.0003509117952 & 4.99964908820479 \tabularnewline
66 & 101 & 73.9997493681033 & 27.0002506318967 \tabularnewline
67 & 105 & 100.998646480202 & 4.00135351979844 \tabularnewline
68 & 73 & 104.999799412558 & -31.9997994125579 \tabularnewline
69 & 68 & 73.0016041466667 & -5.00160414666669 \tabularnewline
70 & 65 & 68.0002507299035 & -3.00025072990354 \tabularnewline
71 & 70 & 65.0001504022618 & 4.99984959773825 \tabularnewline
72 & 65 & 69.9997493580518 & -4.99974935805182 \tabularnewline
73 & 80 & 65.0002506369232 & 14.9997493630768 \tabularnewline
74 & 92 & 79.9992480641009 & 12.0007519358991 \tabularnewline
75 & 93 & 91.9993984035347 & 1.00060159646526 \tabularnewline
76 & 90 & 92.9999498399445 & -2.99994983994446 \tabularnewline
77 & 96 & 90.0001503871782 & 5.99984961282182 \tabularnewline
78 & 125 & 95.9996992281535 & 29.0003007718465 \tabularnewline
79 & 134 & 124.998546217893 & 9.00145378210709 \tabularnewline
80 & 100 & 133.999548758044 & -33.9995487580439 \tabularnewline
81 & 97 & 100.001704393897 & -3.00170439389655 \tabularnewline
82 & 97 & 97.0001504751338 & -0.000150475133793293 \tabularnewline
83 & 101 & 97.0000000075433 & 3.99999999245669 \tabularnewline
84 & 90 & 100.99979948041 & -10.9997994804101 \tabularnewline
85 & 108 & 90.0005514188212 & 17.9994485811788 \tabularnewline
86 & 113 & 107.999097689486 & 5.00090231051364 \tabularnewline
87 & 112 & 112.999749305279 & -0.999749305279437 \tabularnewline
88 & 103 & 112.00005011733 & -9.00005011733026 \tabularnewline
89 & 103 & 103.00045117159 & -0.000451171590484023 \tabularnewline
90 & 125 & 103.000000022617 & 21.9999999773828 \tabularnewline
91 & 128 & 124.998897142255 & 3.00110285774532 \tabularnewline
92 & 91 & 127.999849555021 & -36.9998495550212 \tabularnewline
93 & 84 & 91.0018547986682 & -7.00185479866818 \tabularnewline
94 & 83 & 84.0003510022638 & -1.00035100226384 \tabularnewline
95 & 83 & 83.0000501474933 & -5.01474932690371e-05 \tabularnewline
96 & 69 & 83.0000000025139 & -14.0000000025139 \tabularnewline
97 & 77 & 69.0007018185661 & 7.99929818143394 \tabularnewline
98 & 83 & 76.9995989960016 & 6.00040100399845 \tabularnewline
99 & 78 & 82.9996992005123 & -4.99969920051231 \tabularnewline
100 & 70 & 78.0002506344088 & -8.00025063440879 \tabularnewline
101 & 75 & 70.0004010517448 & 4.99959894825518 \tabularnewline
102 & 101 & 74.9997493706168 & 26.0002506293832 \tabularnewline
103 & 117 & 100.998696610099 & 16.0013033899008 \tabularnewline
104 & 80 & 116.9991978563 & -36.9991978563001 \tabularnewline
105 & 87 & 80.0018547659986 & 6.99814523400141 \tabularnewline
106 & 81 & 86.9996491836963 & -5.99964918369626 \tabularnewline
107 & 78 & 81.000300761799 & -3.00030076179901 \tabularnewline
108 & 73 & 78.0001504047699 & -5.00015040476985 \tabularnewline
109 & 93 & 73.0002506570276 & 19.9997493429724 \tabularnewline
110 & 105 & 92.9989974146141 & 12.0010025853859 \tabularnewline
111 & 102 & 104.99939839097 & -2.9993983909697 \tabularnewline
112 & 97 & 102.000150359534 & -5.00015035953409 \tabularnewline
113 & 100 & 97.0002506570253 & 2.99974934297465 \tabularnewline
114 & 127 & 99.9998496228727 & 27.0001503771273 \tabularnewline
115 & 138 & 126.998646485227 & 11.0013535147727 \tabularnewline
116 & 107 & 137.999448503275 & -30.9994485032752 \tabularnewline
117 & 107 & 107.001553999178 & -0.00155399917808552 \tabularnewline
118 & 106 & 107.000000077902 & -1.00000007790182 \tabularnewline
119 & 109 & 106.000050129901 & 2.99994987009853 \tabularnewline
120 & 107 & 108.99984961282 & -1.99984961282031 \tabularnewline
121 & 129 & 107.000100252256 & 21.9998997477438 \tabularnewline
122 & 138 & 128.998897147279 & 9.00110285272083 \tabularnewline
123 & 137 & 137.999548775636 & -0.999548775635986 \tabularnewline
124 & 134 & 137.000050107278 & -3.00005010727773 \tabularnewline
125 & 134 & 134.000150392205 & -0.000150392204545824 \tabularnewline
126 & 166 & 134.000000007539 & 31.9999999924609 \tabularnewline
127 & 180 & 165.998395843278 & 14.0016041567218 \tabularnewline
128 & 131 & 179.999298101018 & -48.9992981010179 \tabularnewline
129 & 135 & 131.002456329795 & 3.99754367020535 \tabularnewline
130 & 127 & 134.999799603545 & -7.99979960354531 \tabularnewline
131 & 121 & 127.000401029135 & -6.00040102913468 \tabularnewline
132 & 116 & 121.000300799489 & -5.00030079948895 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278565&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]85[/C][C]81[/C][C]4[/C][/ROW]
[ROW][C]3[/C][C]90[/C][C]84.9997994804097[/C][C]5.00020051959027[/C][/ROW]
[ROW][C]4[/C][C]84[/C][C]89.9997493404601[/C][C]-5.99974934046014[/C][/ROW]
[ROW][C]5[/C][C]94[/C][C]84.0003007668199[/C][C]9.99969923318014[/C][/ROW]
[ROW][C]6[/C][C]131[/C][C]93.9994987161018[/C][C]37.0005012838982[/C][/ROW]
[ROW][C]7[/C][C]130[/C][C]130.998145168661[/C][C]-0.998145168660727[/C][/ROW]
[ROW][C]8[/C][C]99[/C][C]130.000050036915[/C][C]-31.000050036915[/C][/ROW]
[ROW][C]9[/C][C]101[/C][C]99.0015540293329[/C][C]1.99844597066709[/C][/ROW]
[ROW][C]10[/C][C]82[/C][C]100.999899818108[/C][C]-18.9998998181082[/C][/ROW]
[ROW][C]11[/C][C]90[/C][C]82.0009524630317[/C][C]7.99904753696833[/C][/ROW]
[ROW][C]12[/C][C]85[/C][C]89.9995990085663[/C][C]-4.99959900856635[/C][/ROW]
[ROW][C]13[/C][C]105[/C][C]85.0002506293862[/C][C]19.9997493706138[/C][/ROW]
[ROW][C]14[/C][C]110[/C][C]104.998997414613[/C][C]5.0010025853873[/C][/ROW]
[ROW][C]15[/C][C]115[/C][C]109.999749300253[/C][C]5.00025069974734[/C][/ROW]
[ROW][C]16[/C][C]110[/C][C]114.999749337945[/C][C]-4.99974933794462[/C][/ROW]
[ROW][C]17[/C][C]114[/C][C]110.000250636922[/C][C]3.99974936307784[/C][/ROW]
[ROW][C]18[/C][C]149[/C][C]113.999799492974[/C][C]35.0002005070259[/C][/ROW]
[ROW][C]19[/C][C]147[/C][C]148.998245443534[/C][C]-1.99824544353376[/C][/ROW]
[ROW][C]20[/C][C]113[/C][C]147.000100171839[/C][C]-34.0001001718394[/C][/ROW]
[ROW][C]21[/C][C]113[/C][C]113.001704421539[/C][C]-0.00170442153887507[/C][/ROW]
[ROW][C]22[/C][C]107[/C][C]113.000000085442[/C][C]-6.00000008544248[/C][/ROW]
[ROW][C]23[/C][C]109[/C][C]107.00030077939[/C][C]1.99969922061031[/C][/ROW]
[ROW][C]24[/C][C]103[/C][C]108.999899755283[/C][C]-5.99989975528291[/C][/ROW]
[ROW][C]25[/C][C]113[/C][C]103.00030077436[/C][C]9.99969922563986[/C][/ROW]
[ROW][C]26[/C][C]112[/C][C]112.999498716102[/C][C]-0.999498716102124[/C][/ROW]
[ROW][C]27[/C][C]114[/C][C]112.000050104768[/C][C]1.99994989523175[/C][/ROW]
[ROW][C]28[/C][C]106[/C][C]113.999899742717[/C][C]-7.99989974271661[/C][/ROW]
[ROW][C]29[/C][C]107[/C][C]106.000401034155[/C][C]0.999598965845365[/C][/ROW]
[ROW][C]30[/C][C]134[/C][C]106.999949890206[/C][C]27.0000501097938[/C][/ROW]
[ROW][C]31[/C][C]135[/C][C]133.998646490254[/C][C]1.00135350974631[/C][/ROW]
[ROW][C]32[/C][C]105[/C][C]134.999949802251[/C][C]-29.9999498022511[/C][/ROW]
[ROW][C]33[/C][C]105[/C][C]105.001503894411[/C][C]-0.00150389441058962[/C][/ROW]
[ROW][C]34[/C][C]90[/C][C]105.00000007539[/C][C]-15.0000000753901[/C][/ROW]
[ROW][C]35[/C][C]92[/C][C]90.0007519484673[/C][C]1.99924805153272[/C][/ROW]
[ROW][C]36[/C][C]83[/C][C]91.9998997779[/C][C]-8.99989977789997[/C][/ROW]
[ROW][C]37[/C][C]95[/C][C]83.000451164054[/C][C]11.999548835946[/C][/ROW]
[ROW][C]38[/C][C]98[/C][C]94.999398463846[/C][C]3.00060153615399[/C][/ROW]
[ROW][C]39[/C][C]95[/C][C]97.9998495801523[/C][C]-2.99984958015234[/C][/ROW]
[ROW][C]40[/C][C]81[/C][C]95.0001503821522[/C][C]-14.0001503821522[/C][/ROW]
[ROW][C]41[/C][C]83[/C][C]81.0007018261046[/C][C]1.99929817389543[/C][/ROW]
[ROW][C]42[/C][C]106[/C][C]82.9998997753873[/C][C]23.0001002246127[/C][/ROW]
[ROW][C]43[/C][C]114[/C][C]105.998847007332[/C][C]8.00115299266828[/C][/ROW]
[ROW][C]44[/C][C]80[/C][C]113.99959890302[/C][C]-33.9995989030201[/C][/ROW]
[ROW][C]45[/C][C]82[/C][C]80.0017043964103[/C][C]1.99829560358968[/C][/ROW]
[ROW][C]46[/C][C]76[/C][C]81.9998998256461[/C][C]-5.99989982564608[/C][/ROW]
[ROW][C]47[/C][C]78[/C][C]76.0003007743637[/C][C]1.99969922563633[/C][/ROW]
[ROW][C]48[/C][C]70[/C][C]77.9998997552827[/C][C]-7.99989975528266[/C][/ROW]
[ROW][C]49[/C][C]82[/C][C]70.0004010341553[/C][C]11.9995989658447[/C][/ROW]
[ROW][C]50[/C][C]86[/C][C]81.999398461333[/C][C]4.000601538667[/C][/ROW]
[ROW][C]51[/C][C]87[/C][C]85.9997994502547[/C][C]1.00020054974533[/C][/ROW]
[ROW][C]52[/C][C]74[/C][C]86.9999498600489[/C][C]-12.9999498600489[/C][/ROW]
[ROW][C]53[/C][C]79[/C][C]74.0006516861549[/C][C]4.99934831384515[/C][/ROW]
[ROW][C]54[/C][C]110[/C][C]78.9997493831811[/C][C]31.0002506168189[/C][/ROW]
[ROW][C]55[/C][C]117[/C][C]109.998445960612[/C][C]7.00155403938797[/C][/ROW]
[ROW][C]56[/C][C]82[/C][C]116.999649012813[/C][C]-34.9996490128132[/C][/ROW]
[ROW][C]57[/C][C]71[/C][C]82.0017545288199[/C][C]-11.0017545288199[/C][/ROW]
[ROW][C]58[/C][C]67[/C][C]71.0005515168276[/C][C]-4.00055151682757[/C][/ROW]
[ROW][C]59[/C][C]66[/C][C]67.0002005472377[/C][C]-1.00020054723774[/C][/ROW]
[ROW][C]60[/C][C]57[/C][C]66.000050139951[/C][C]-9.00005013995099[/C][/ROW]
[ROW][C]61[/C][C]71[/C][C]57.0004511715916[/C][C]13.9995488284084[/C][/ROW]
[ROW][C]62[/C][C]77[/C][C]70.9992982040512[/C][C]6.00070179594876[/C][/ROW]
[ROW][C]63[/C][C]76[/C][C]76.9996991854336[/C][C]-0.999699185433641[/C][/ROW]
[ROW][C]64[/C][C]69[/C][C]76.0000501148178[/C][C]-7.00005011481777[/C][/ROW]
[ROW][C]65[/C][C]74[/C][C]69.0003509117952[/C][C]4.99964908820479[/C][/ROW]
[ROW][C]66[/C][C]101[/C][C]73.9997493681033[/C][C]27.0002506318967[/C][/ROW]
[ROW][C]67[/C][C]105[/C][C]100.998646480202[/C][C]4.00135351979844[/C][/ROW]
[ROW][C]68[/C][C]73[/C][C]104.999799412558[/C][C]-31.9997994125579[/C][/ROW]
[ROW][C]69[/C][C]68[/C][C]73.0016041466667[/C][C]-5.00160414666669[/C][/ROW]
[ROW][C]70[/C][C]65[/C][C]68.0002507299035[/C][C]-3.00025072990354[/C][/ROW]
[ROW][C]71[/C][C]70[/C][C]65.0001504022618[/C][C]4.99984959773825[/C][/ROW]
[ROW][C]72[/C][C]65[/C][C]69.9997493580518[/C][C]-4.99974935805182[/C][/ROW]
[ROW][C]73[/C][C]80[/C][C]65.0002506369232[/C][C]14.9997493630768[/C][/ROW]
[ROW][C]74[/C][C]92[/C][C]79.9992480641009[/C][C]12.0007519358991[/C][/ROW]
[ROW][C]75[/C][C]93[/C][C]91.9993984035347[/C][C]1.00060159646526[/C][/ROW]
[ROW][C]76[/C][C]90[/C][C]92.9999498399445[/C][C]-2.99994983994446[/C][/ROW]
[ROW][C]77[/C][C]96[/C][C]90.0001503871782[/C][C]5.99984961282182[/C][/ROW]
[ROW][C]78[/C][C]125[/C][C]95.9996992281535[/C][C]29.0003007718465[/C][/ROW]
[ROW][C]79[/C][C]134[/C][C]124.998546217893[/C][C]9.00145378210709[/C][/ROW]
[ROW][C]80[/C][C]100[/C][C]133.999548758044[/C][C]-33.9995487580439[/C][/ROW]
[ROW][C]81[/C][C]97[/C][C]100.001704393897[/C][C]-3.00170439389655[/C][/ROW]
[ROW][C]82[/C][C]97[/C][C]97.0001504751338[/C][C]-0.000150475133793293[/C][/ROW]
[ROW][C]83[/C][C]101[/C][C]97.0000000075433[/C][C]3.99999999245669[/C][/ROW]
[ROW][C]84[/C][C]90[/C][C]100.99979948041[/C][C]-10.9997994804101[/C][/ROW]
[ROW][C]85[/C][C]108[/C][C]90.0005514188212[/C][C]17.9994485811788[/C][/ROW]
[ROW][C]86[/C][C]113[/C][C]107.999097689486[/C][C]5.00090231051364[/C][/ROW]
[ROW][C]87[/C][C]112[/C][C]112.999749305279[/C][C]-0.999749305279437[/C][/ROW]
[ROW][C]88[/C][C]103[/C][C]112.00005011733[/C][C]-9.00005011733026[/C][/ROW]
[ROW][C]89[/C][C]103[/C][C]103.00045117159[/C][C]-0.000451171590484023[/C][/ROW]
[ROW][C]90[/C][C]125[/C][C]103.000000022617[/C][C]21.9999999773828[/C][/ROW]
[ROW][C]91[/C][C]128[/C][C]124.998897142255[/C][C]3.00110285774532[/C][/ROW]
[ROW][C]92[/C][C]91[/C][C]127.999849555021[/C][C]-36.9998495550212[/C][/ROW]
[ROW][C]93[/C][C]84[/C][C]91.0018547986682[/C][C]-7.00185479866818[/C][/ROW]
[ROW][C]94[/C][C]83[/C][C]84.0003510022638[/C][C]-1.00035100226384[/C][/ROW]
[ROW][C]95[/C][C]83[/C][C]83.0000501474933[/C][C]-5.01474932690371e-05[/C][/ROW]
[ROW][C]96[/C][C]69[/C][C]83.0000000025139[/C][C]-14.0000000025139[/C][/ROW]
[ROW][C]97[/C][C]77[/C][C]69.0007018185661[/C][C]7.99929818143394[/C][/ROW]
[ROW][C]98[/C][C]83[/C][C]76.9995989960016[/C][C]6.00040100399845[/C][/ROW]
[ROW][C]99[/C][C]78[/C][C]82.9996992005123[/C][C]-4.99969920051231[/C][/ROW]
[ROW][C]100[/C][C]70[/C][C]78.0002506344088[/C][C]-8.00025063440879[/C][/ROW]
[ROW][C]101[/C][C]75[/C][C]70.0004010517448[/C][C]4.99959894825518[/C][/ROW]
[ROW][C]102[/C][C]101[/C][C]74.9997493706168[/C][C]26.0002506293832[/C][/ROW]
[ROW][C]103[/C][C]117[/C][C]100.998696610099[/C][C]16.0013033899008[/C][/ROW]
[ROW][C]104[/C][C]80[/C][C]116.9991978563[/C][C]-36.9991978563001[/C][/ROW]
[ROW][C]105[/C][C]87[/C][C]80.0018547659986[/C][C]6.99814523400141[/C][/ROW]
[ROW][C]106[/C][C]81[/C][C]86.9996491836963[/C][C]-5.99964918369626[/C][/ROW]
[ROW][C]107[/C][C]78[/C][C]81.000300761799[/C][C]-3.00030076179901[/C][/ROW]
[ROW][C]108[/C][C]73[/C][C]78.0001504047699[/C][C]-5.00015040476985[/C][/ROW]
[ROW][C]109[/C][C]93[/C][C]73.0002506570276[/C][C]19.9997493429724[/C][/ROW]
[ROW][C]110[/C][C]105[/C][C]92.9989974146141[/C][C]12.0010025853859[/C][/ROW]
[ROW][C]111[/C][C]102[/C][C]104.99939839097[/C][C]-2.9993983909697[/C][/ROW]
[ROW][C]112[/C][C]97[/C][C]102.000150359534[/C][C]-5.00015035953409[/C][/ROW]
[ROW][C]113[/C][C]100[/C][C]97.0002506570253[/C][C]2.99974934297465[/C][/ROW]
[ROW][C]114[/C][C]127[/C][C]99.9998496228727[/C][C]27.0001503771273[/C][/ROW]
[ROW][C]115[/C][C]138[/C][C]126.998646485227[/C][C]11.0013535147727[/C][/ROW]
[ROW][C]116[/C][C]107[/C][C]137.999448503275[/C][C]-30.9994485032752[/C][/ROW]
[ROW][C]117[/C][C]107[/C][C]107.001553999178[/C][C]-0.00155399917808552[/C][/ROW]
[ROW][C]118[/C][C]106[/C][C]107.000000077902[/C][C]-1.00000007790182[/C][/ROW]
[ROW][C]119[/C][C]109[/C][C]106.000050129901[/C][C]2.99994987009853[/C][/ROW]
[ROW][C]120[/C][C]107[/C][C]108.99984961282[/C][C]-1.99984961282031[/C][/ROW]
[ROW][C]121[/C][C]129[/C][C]107.000100252256[/C][C]21.9998997477438[/C][/ROW]
[ROW][C]122[/C][C]138[/C][C]128.998897147279[/C][C]9.00110285272083[/C][/ROW]
[ROW][C]123[/C][C]137[/C][C]137.999548775636[/C][C]-0.999548775635986[/C][/ROW]
[ROW][C]124[/C][C]134[/C][C]137.000050107278[/C][C]-3.00005010727773[/C][/ROW]
[ROW][C]125[/C][C]134[/C][C]134.000150392205[/C][C]-0.000150392204545824[/C][/ROW]
[ROW][C]126[/C][C]166[/C][C]134.000000007539[/C][C]31.9999999924609[/C][/ROW]
[ROW][C]127[/C][C]180[/C][C]165.998395843278[/C][C]14.0016041567218[/C][/ROW]
[ROW][C]128[/C][C]131[/C][C]179.999298101018[/C][C]-48.9992981010179[/C][/ROW]
[ROW][C]129[/C][C]135[/C][C]131.002456329795[/C][C]3.99754367020535[/C][/ROW]
[ROW][C]130[/C][C]127[/C][C]134.999799603545[/C][C]-7.99979960354531[/C][/ROW]
[ROW][C]131[/C][C]121[/C][C]127.000401029135[/C][C]-6.00040102913468[/C][/ROW]
[ROW][C]132[/C][C]116[/C][C]121.000300799489[/C][C]-5.00030079948895[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278565&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278565&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
285814
39084.99979948040975.00020051959027
48489.9997493404601-5.99974934046014
59484.00030076681999.99969923318014
613193.999498716101837.0005012838982
7130130.998145168661-0.998145168660727
899130.000050036915-31.000050036915
910199.00155402933291.99844597066709
1082100.999899818108-18.9998998181082
119082.00095246303177.99904753696833
128589.9995990085663-4.99959900856635
1310585.000250629386219.9997493706138
14110104.9989974146135.0010025853873
15115109.9997493002535.00025069974734
16110114.999749337945-4.99974933794462
17114110.0002506369223.99974936307784
18149113.99979949297435.0002005070259
19147148.998245443534-1.99824544353376
20113147.000100171839-34.0001001718394
21113113.001704421539-0.00170442153887507
22107113.000000085442-6.00000008544248
23109107.000300779391.99969922061031
24103108.999899755283-5.99989975528291
25113103.000300774369.99969922563986
26112112.999498716102-0.999498716102124
27114112.0000501047681.99994989523175
28106113.999899742717-7.99989974271661
29107106.0004010341550.999598965845365
30134106.99994989020627.0000501097938
31135133.9986464902541.00135350974631
32105134.999949802251-29.9999498022511
33105105.001503894411-0.00150389441058962
3490105.00000007539-15.0000000753901
359290.00075194846731.99924805153272
368391.9998997779-8.99989977789997
379583.00045116405411.999548835946
389894.9993984638463.00060153615399
399597.9998495801523-2.99984958015234
408195.0001503821522-14.0001503821522
418381.00070182610461.99929817389543
4210682.999899775387323.0001002246127
43114105.9988470073328.00115299266828
4480113.99959890302-33.9995989030201
458280.00170439641031.99829560358968
467681.9998998256461-5.99989982564608
477876.00030077436371.99969922563633
487077.9998997552827-7.99989975528266
498270.000401034155311.9995989658447
508681.9993984613334.000601538667
518785.99979945025471.00020054974533
527486.9999498600489-12.9999498600489
537974.00065168615494.99934831384515
5411078.999749383181131.0002506168189
55117109.9984459606127.00155403938797
5682116.999649012813-34.9996490128132
577182.0017545288199-11.0017545288199
586771.0005515168276-4.00055151682757
596667.0002005472377-1.00020054723774
605766.000050139951-9.00005013995099
617157.000451171591613.9995488284084
627770.99929820405126.00070179594876
637676.9996991854336-0.999699185433641
646976.0000501148178-7.00005011481777
657469.00035091179524.99964908820479
6610173.999749368103327.0002506318967
67105100.9986464802024.00135351979844
6873104.999799412558-31.9997994125579
696873.0016041466667-5.00160414666669
706568.0002507299035-3.00025072990354
717065.00015040226184.99984959773825
726569.9997493580518-4.99974935805182
738065.000250636923214.9997493630768
749279.999248064100912.0007519358991
759391.99939840353471.00060159646526
769092.9999498399445-2.99994983994446
779690.00015038717825.99984961282182
7812595.999699228153529.0003007718465
79134124.9985462178939.00145378210709
80100133.999548758044-33.9995487580439
8197100.001704393897-3.00170439389655
829797.0001504751338-0.000150475133793293
8310197.00000000754333.99999999245669
8490100.99979948041-10.9997994804101
8510890.000551418821217.9994485811788
86113107.9990976894865.00090231051364
87112112.999749305279-0.999749305279437
88103112.00005011733-9.00005011733026
89103103.00045117159-0.000451171590484023
90125103.00000002261721.9999999773828
91128124.9988971422553.00110285774532
9291127.999849555021-36.9998495550212
938491.0018547986682-7.00185479866818
948384.0003510022638-1.00035100226384
958383.0000501474933-5.01474932690371e-05
966983.0000000025139-14.0000000025139
977769.00070181856617.99929818143394
988376.99959899600166.00040100399845
997882.9996992005123-4.99969920051231
1007078.0002506344088-8.00025063440879
1017570.00040105174484.99959894825518
10210174.999749370616826.0002506293832
103117100.99869661009916.0013033899008
10480116.9991978563-36.9991978563001
1058780.00185476599866.99814523400141
1068186.9996491836963-5.99964918369626
1077881.000300761799-3.00030076179901
1087378.0001504047699-5.00015040476985
1099373.000250657027619.9997493429724
11010592.998997414614112.0010025853859
111102104.99939839097-2.9993983909697
11297102.000150359534-5.00015035953409
11310097.00025065702532.99974934297465
11412799.999849622872727.0001503771273
115138126.99864648522711.0013535147727
116107137.999448503275-30.9994485032752
117107107.001553999178-0.00155399917808552
118106107.000000077902-1.00000007790182
119109106.0000501299012.99994987009853
120107108.99984961282-1.99984961282031
121129107.00010025225621.9998997477438
122138128.9988971472799.00110285272083
123137137.999548775636-0.999548775635986
124134137.000050107278-3.00005010727773
125134134.000150392205-0.000150392204545824
126166134.00000000753931.9999999924609
127180165.99839584327814.0016041567218
128131179.999298101018-48.9992981010179
129135131.0024563297953.99754367020535
130127134.999799603545-7.99979960354531
131121127.000401029135-6.00040102913468
132116121.000300799489-5.00030079948895







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133116.00025066456786.3437649201874145.656736408946
134116.00025066456774.0606975384662157.939803790668
135116.00025066456764.6354272332782167.365074095856
136116.00025066456756.6895091767225175.310992152411
137116.00025066456749.6889920009859182.311509328148
138116.00025066456743.360027679923188.640473649211
139116.00025066456737.5399360783429194.460565250791
140116.00025066456732.1227212858371199.877780043297
141116.00025066456727.0347578913005204.965743437833
142116.00025066456722.2224394611668209.778061867967
143116.00025066456717.6452973383058214.355203990828
144116.00025066456713.2718913205112218.728610008623

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 116.000250664567 & 86.3437649201874 & 145.656736408946 \tabularnewline
134 & 116.000250664567 & 74.0606975384662 & 157.939803790668 \tabularnewline
135 & 116.000250664567 & 64.6354272332782 & 167.365074095856 \tabularnewline
136 & 116.000250664567 & 56.6895091767225 & 175.310992152411 \tabularnewline
137 & 116.000250664567 & 49.6889920009859 & 182.311509328148 \tabularnewline
138 & 116.000250664567 & 43.360027679923 & 188.640473649211 \tabularnewline
139 & 116.000250664567 & 37.5399360783429 & 194.460565250791 \tabularnewline
140 & 116.000250664567 & 32.1227212858371 & 199.877780043297 \tabularnewline
141 & 116.000250664567 & 27.0347578913005 & 204.965743437833 \tabularnewline
142 & 116.000250664567 & 22.2224394611668 & 209.778061867967 \tabularnewline
143 & 116.000250664567 & 17.6452973383058 & 214.355203990828 \tabularnewline
144 & 116.000250664567 & 13.2718913205112 & 218.728610008623 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278565&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]116.000250664567[/C][C]86.3437649201874[/C][C]145.656736408946[/C][/ROW]
[ROW][C]134[/C][C]116.000250664567[/C][C]74.0606975384662[/C][C]157.939803790668[/C][/ROW]
[ROW][C]135[/C][C]116.000250664567[/C][C]64.6354272332782[/C][C]167.365074095856[/C][/ROW]
[ROW][C]136[/C][C]116.000250664567[/C][C]56.6895091767225[/C][C]175.310992152411[/C][/ROW]
[ROW][C]137[/C][C]116.000250664567[/C][C]49.6889920009859[/C][C]182.311509328148[/C][/ROW]
[ROW][C]138[/C][C]116.000250664567[/C][C]43.360027679923[/C][C]188.640473649211[/C][/ROW]
[ROW][C]139[/C][C]116.000250664567[/C][C]37.5399360783429[/C][C]194.460565250791[/C][/ROW]
[ROW][C]140[/C][C]116.000250664567[/C][C]32.1227212858371[/C][C]199.877780043297[/C][/ROW]
[ROW][C]141[/C][C]116.000250664567[/C][C]27.0347578913005[/C][C]204.965743437833[/C][/ROW]
[ROW][C]142[/C][C]116.000250664567[/C][C]22.2224394611668[/C][C]209.778061867967[/C][/ROW]
[ROW][C]143[/C][C]116.000250664567[/C][C]17.6452973383058[/C][C]214.355203990828[/C][/ROW]
[ROW][C]144[/C][C]116.000250664567[/C][C]13.2718913205112[/C][C]218.728610008623[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278565&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278565&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
133116.00025066456786.3437649201874145.656736408946
134116.00025066456774.0606975384662157.939803790668
135116.00025066456764.6354272332782167.365074095856
136116.00025066456756.6895091767225175.310992152411
137116.00025066456749.6889920009859182.311509328148
138116.00025066456743.360027679923188.640473649211
139116.00025066456737.5399360783429194.460565250791
140116.00025066456732.1227212858371199.877780043297
141116.00025066456727.0347578913005204.965743437833
142116.00025066456722.2224394611668209.778061867967
143116.00025066456717.6452973383058214.355203990828
144116.00025066456713.2718913205112218.728610008623



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):
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')