Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSun, 18 Dec 2016 09:44:03 +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/2016/Dec/18/t14820507444h7cpyo6lrh6mw5.htm/, Retrieved Wed, 08 May 2024 15:56:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300981, Retrieved Wed, 08 May 2024 15:56:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponentional smo...] [2016-12-18 08:44:03] [08c254f01fc4fb8b56d19f4878327019] [Current]
Feedback Forum

Post a new message
Dataseries X:
5884.5
5879.1
5897.2
5920.7
5944.6
5982.4
6017.4
5980
6087.4
6114.5
6143.2
6173.1
6195.7
6236
6255.2
6282.5
6301.7
6330.9
6350.8
6363
6388.6
6411.5
6436.4
6449.2
6473.3
6479.5
6507.3
6516.1
6534.2
6540.6
6542.9
6562.6
6577
6596.6
6612.1
6626.3
6640.1
6642.4
6648.7
6660.8
6668.2
6657.7
6682.8
6696.8
6714.4
6728.2
6741.8
6758.4
6774
6792.3
6809.1
6832.2
6850.3
6861.1
6882.6
6900.7
6915.1
6947.8
6965.9
6991.7
6993.9
7031.7
7048.7
7067.4
7077.1
7107.4
7127.1
7137.3
7147.9
7170.6
7193
7220.1
7251
7268.1
7282.2
7290.2
7292.5
7299.6
7305.1
7306.9
7313.3
7325.6
7348.1
7354.7
7375.3
7396.3
7401.9
7390.4
7393.6
7398.5
7392.4
7390.8
7380.6
7365.8
7346.9
7334.1
7314.8
7287.8
7274.3
7252.7
7257.5
7256.5
7253.9
7262.6
7263.6
7261.3
7250.4
7249.3
7245.6
7244.4
7253.8
7271.6
7282.7
7283
7293.3
7291.2
7298.5




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300981&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300981&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300981&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.99994710258824
betaFALSE
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.99994710258824 \tabularnewline
beta & FALSE \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300981&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]0.99994710258824[/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=300981&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300981&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
alpha0.99994710258824
betaFALSE
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
25879.15884.5-5.39999999999964
35897.25879.1002856460218.0997143539762
45920.75897.1990425719623.500957428043
55944.65920.6987568601823.9012431398223
65982.45944.598735686137.8012643138991
76017.45982.3980004109635.0019995890434
859806017.39814848482-37.3981484848155
96087.45980.00197826526107.39802173474
106114.56087.3943189226227.105681077378
116143.26114.4985661796328.7014338203726
126173.16143.1984817684429.9015182315643
136195.76173.0984182870822.6015817129219
1462366195.6988044348340.3011955651746
156255.26235.9978681710619.2021318289353
166282.56255.1989842569327.3010157430745
176301.76282.4985558469319.201444153071
186330.96301.698984293329.2010157066979
196350.86330.8984553418519.9015446581525
2063636350.798947259812.2010527402017
216388.66362.9993545958925.6006454041117
226411.56388.5986457921222.901354207881
236436.46411.4987885776424.9012114223633
246449.26436.3986827903712.8013172096344
256473.36449.1993228434524.100677156548
266479.56473.298725136566.20127486344245
276507.36479.4996719686127.8003280313897
286516.16507.29852943468.80147056539954
296534.26516.0995344249918.1004655750121
306540.66534.199042532226.40095746778115
316542.96540.599661405922.30033859408195
326562.66542.8998783180419.7001216819581
3365776562.5989579145514.4010420854484
346596.66576.9992382221519.6007617778532
356612.16596.5989631704315.5010368295661
366626.36612.0991800352714.200819964728
376640.16626.2992488133813.8007511866217
386642.46640.099269975982.30073002401696
396648.76642.399878297346.300121702664
406660.86648.6996667398712.1003332601322
416668.26660.799359923697.40064007631099
426657.76668.19960852529-10.4996085252942
436682.86657.7005554021225.0994445978849
446696.86682.7986723043414.0013276956561
456714.46696.79925936617.6007406339959
466728.26714.3990689663813.8009310336247
476741.86728.1992699664713.6007300335314
486758.46741.7992805565816.600719443416
4967746758.3991218649115.600878135092
506792.36773.9991747539318.300825246075
516809.16792.2990319337116.800968066289
526832.26809.0991112722723.1008887277249
536850.36832.1987780227818.1012219772238
546861.16850.2990424922110.8009575077922
556882.66861.099428657321.5005713426972
566900.76882.5988626754218.1011373245756
576915.16900.6990424966914.4009575033151
586947.86915.0992382266232.700761773378
596965.96947.7982702143418.1017297856606
606991.76965.8990424653525.8009575346541
616993.96991.698635196132.20136480387373
627031.76993.899883553537.8001164465004
637048.77031.6980004716817.0019995283246
647067.47048.6991006382318.7008993617701
657077.17067.399010770839.70098922917441
667107.47077.0994868427830.3005131572208
677127.17107.3983971812819.7016028187218
687137.37127.098957836210.201042163797
697147.97137.2994603912710.6005396087276
707170.67147.8994392588922.7005607411093
7171937170.5987991990922.4012008009086
727220.17192.9988150344627.1011849655424
7372517220.0985664174630.9014335825404
747268.17250.9983653941417.1016346058568
757282.27268.0990953677914.1009046322069
767290.27282.199254098648.00074590135864
777292.57290.199576781252.30042321875044
787299.67292.499878313577.10012168643425
797305.17299.599624421945.50037557806081
807306.97305.099709044371.80029095563168
817313.37306.899904769276.40009523073331
827325.67313.2996614515312.3003385484726
837348.17325.5993493439322.500650656073
847354.77348.098809773826.60119022618164
857375.37354.6996508141220.6003491858783
867396.37375.2989102948521.0010897051534
877401.97396.298889096715.60111090328883
887390.47401.89970371573-11.49970371573
897393.67390.400608304563.19939169543795
907398.57393.599830760464.90016923953954
917392.47398.49974079373-6.09974079373023
927390.87392.4003226605-1.60032266049984
937380.67390.80008465293-10.2000846529263
947365.87380.60053955808-14.8005395580776
957346.97365.80078291024-18.9007829102356
967334.17346.9009998025-12.8009998024954
977314.87334.10067713976-19.3006771397577
987287.87314.80102095587-27.0010209558659
997274.37287.80142828412-13.501428284123
1007252.77274.30071419061-21.6007141906121
1017257.57252.701142621874.79885737812765
1027256.57257.49974615286-0.999746152864645
1037253.97256.50005288398-2.60005288398497
1047262.67253.900137536078.69986246393273
1057263.67262.599539799791.00046020020727
1067261.37263.59994707825-2.29994707824517
1077250.47261.30012166125-10.9001216612478
1087249.37250.40057658822-1.10057658822279
1097245.67249.30005821765-3.70005821765335
1107244.47245.6001957235-1.20019572350338
1117253.87244.400063487259.39993651275381
1127271.67253.7995027676917.8004972323124
1137282.77271.5990583997711.1009416002307
11472837282.699412788920.300587211078891
1157293.37282.9999840997110.3000159002859
1167291.27293.29945515582-2.09945515581785
1177298.57291.200111055747.29988894425605

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
2 & 5879.1 & 5884.5 & -5.39999999999964 \tabularnewline
3 & 5897.2 & 5879.10028564602 & 18.0997143539762 \tabularnewline
4 & 5920.7 & 5897.19904257196 & 23.500957428043 \tabularnewline
5 & 5944.6 & 5920.69875686018 & 23.9012431398223 \tabularnewline
6 & 5982.4 & 5944.5987356861 & 37.8012643138991 \tabularnewline
7 & 6017.4 & 5982.39800041096 & 35.0019995890434 \tabularnewline
8 & 5980 & 6017.39814848482 & -37.3981484848155 \tabularnewline
9 & 6087.4 & 5980.00197826526 & 107.39802173474 \tabularnewline
10 & 6114.5 & 6087.39431892262 & 27.105681077378 \tabularnewline
11 & 6143.2 & 6114.49856617963 & 28.7014338203726 \tabularnewline
12 & 6173.1 & 6143.19848176844 & 29.9015182315643 \tabularnewline
13 & 6195.7 & 6173.09841828708 & 22.6015817129219 \tabularnewline
14 & 6236 & 6195.69880443483 & 40.3011955651746 \tabularnewline
15 & 6255.2 & 6235.99786817106 & 19.2021318289353 \tabularnewline
16 & 6282.5 & 6255.19898425693 & 27.3010157430745 \tabularnewline
17 & 6301.7 & 6282.49855584693 & 19.201444153071 \tabularnewline
18 & 6330.9 & 6301.6989842933 & 29.2010157066979 \tabularnewline
19 & 6350.8 & 6330.89845534185 & 19.9015446581525 \tabularnewline
20 & 6363 & 6350.7989472598 & 12.2010527402017 \tabularnewline
21 & 6388.6 & 6362.99935459589 & 25.6006454041117 \tabularnewline
22 & 6411.5 & 6388.59864579212 & 22.901354207881 \tabularnewline
23 & 6436.4 & 6411.49878857764 & 24.9012114223633 \tabularnewline
24 & 6449.2 & 6436.39868279037 & 12.8013172096344 \tabularnewline
25 & 6473.3 & 6449.19932284345 & 24.100677156548 \tabularnewline
26 & 6479.5 & 6473.29872513656 & 6.20127486344245 \tabularnewline
27 & 6507.3 & 6479.49967196861 & 27.8003280313897 \tabularnewline
28 & 6516.1 & 6507.2985294346 & 8.80147056539954 \tabularnewline
29 & 6534.2 & 6516.09953442499 & 18.1004655750121 \tabularnewline
30 & 6540.6 & 6534.19904253222 & 6.40095746778115 \tabularnewline
31 & 6542.9 & 6540.59966140592 & 2.30033859408195 \tabularnewline
32 & 6562.6 & 6542.89987831804 & 19.7001216819581 \tabularnewline
33 & 6577 & 6562.59895791455 & 14.4010420854484 \tabularnewline
34 & 6596.6 & 6576.99923822215 & 19.6007617778532 \tabularnewline
35 & 6612.1 & 6596.59896317043 & 15.5010368295661 \tabularnewline
36 & 6626.3 & 6612.09918003527 & 14.200819964728 \tabularnewline
37 & 6640.1 & 6626.29924881338 & 13.8007511866217 \tabularnewline
38 & 6642.4 & 6640.09926997598 & 2.30073002401696 \tabularnewline
39 & 6648.7 & 6642.39987829734 & 6.300121702664 \tabularnewline
40 & 6660.8 & 6648.69966673987 & 12.1003332601322 \tabularnewline
41 & 6668.2 & 6660.79935992369 & 7.40064007631099 \tabularnewline
42 & 6657.7 & 6668.19960852529 & -10.4996085252942 \tabularnewline
43 & 6682.8 & 6657.70055540212 & 25.0994445978849 \tabularnewline
44 & 6696.8 & 6682.79867230434 & 14.0013276956561 \tabularnewline
45 & 6714.4 & 6696.799259366 & 17.6007406339959 \tabularnewline
46 & 6728.2 & 6714.39906896638 & 13.8009310336247 \tabularnewline
47 & 6741.8 & 6728.19926996647 & 13.6007300335314 \tabularnewline
48 & 6758.4 & 6741.79928055658 & 16.600719443416 \tabularnewline
49 & 6774 & 6758.39912186491 & 15.600878135092 \tabularnewline
50 & 6792.3 & 6773.99917475393 & 18.300825246075 \tabularnewline
51 & 6809.1 & 6792.29903193371 & 16.800968066289 \tabularnewline
52 & 6832.2 & 6809.09911127227 & 23.1008887277249 \tabularnewline
53 & 6850.3 & 6832.19877802278 & 18.1012219772238 \tabularnewline
54 & 6861.1 & 6850.29904249221 & 10.8009575077922 \tabularnewline
55 & 6882.6 & 6861.0994286573 & 21.5005713426972 \tabularnewline
56 & 6900.7 & 6882.59886267542 & 18.1011373245756 \tabularnewline
57 & 6915.1 & 6900.69904249669 & 14.4009575033151 \tabularnewline
58 & 6947.8 & 6915.09923822662 & 32.700761773378 \tabularnewline
59 & 6965.9 & 6947.79827021434 & 18.1017297856606 \tabularnewline
60 & 6991.7 & 6965.89904246535 & 25.8009575346541 \tabularnewline
61 & 6993.9 & 6991.69863519613 & 2.20136480387373 \tabularnewline
62 & 7031.7 & 6993.8998835535 & 37.8001164465004 \tabularnewline
63 & 7048.7 & 7031.69800047168 & 17.0019995283246 \tabularnewline
64 & 7067.4 & 7048.69910063823 & 18.7008993617701 \tabularnewline
65 & 7077.1 & 7067.39901077083 & 9.70098922917441 \tabularnewline
66 & 7107.4 & 7077.09948684278 & 30.3005131572208 \tabularnewline
67 & 7127.1 & 7107.39839718128 & 19.7016028187218 \tabularnewline
68 & 7137.3 & 7127.0989578362 & 10.201042163797 \tabularnewline
69 & 7147.9 & 7137.29946039127 & 10.6005396087276 \tabularnewline
70 & 7170.6 & 7147.89943925889 & 22.7005607411093 \tabularnewline
71 & 7193 & 7170.59879919909 & 22.4012008009086 \tabularnewline
72 & 7220.1 & 7192.99881503446 & 27.1011849655424 \tabularnewline
73 & 7251 & 7220.09856641746 & 30.9014335825404 \tabularnewline
74 & 7268.1 & 7250.99836539414 & 17.1016346058568 \tabularnewline
75 & 7282.2 & 7268.09909536779 & 14.1009046322069 \tabularnewline
76 & 7290.2 & 7282.19925409864 & 8.00074590135864 \tabularnewline
77 & 7292.5 & 7290.19957678125 & 2.30042321875044 \tabularnewline
78 & 7299.6 & 7292.49987831357 & 7.10012168643425 \tabularnewline
79 & 7305.1 & 7299.59962442194 & 5.50037557806081 \tabularnewline
80 & 7306.9 & 7305.09970904437 & 1.80029095563168 \tabularnewline
81 & 7313.3 & 7306.89990476927 & 6.40009523073331 \tabularnewline
82 & 7325.6 & 7313.29966145153 & 12.3003385484726 \tabularnewline
83 & 7348.1 & 7325.59934934393 & 22.500650656073 \tabularnewline
84 & 7354.7 & 7348.09880977382 & 6.60119022618164 \tabularnewline
85 & 7375.3 & 7354.69965081412 & 20.6003491858783 \tabularnewline
86 & 7396.3 & 7375.29891029485 & 21.0010897051534 \tabularnewline
87 & 7401.9 & 7396.29888909671 & 5.60111090328883 \tabularnewline
88 & 7390.4 & 7401.89970371573 & -11.49970371573 \tabularnewline
89 & 7393.6 & 7390.40060830456 & 3.19939169543795 \tabularnewline
90 & 7398.5 & 7393.59983076046 & 4.90016923953954 \tabularnewline
91 & 7392.4 & 7398.49974079373 & -6.09974079373023 \tabularnewline
92 & 7390.8 & 7392.4003226605 & -1.60032266049984 \tabularnewline
93 & 7380.6 & 7390.80008465293 & -10.2000846529263 \tabularnewline
94 & 7365.8 & 7380.60053955808 & -14.8005395580776 \tabularnewline
95 & 7346.9 & 7365.80078291024 & -18.9007829102356 \tabularnewline
96 & 7334.1 & 7346.9009998025 & -12.8009998024954 \tabularnewline
97 & 7314.8 & 7334.10067713976 & -19.3006771397577 \tabularnewline
98 & 7287.8 & 7314.80102095587 & -27.0010209558659 \tabularnewline
99 & 7274.3 & 7287.80142828412 & -13.501428284123 \tabularnewline
100 & 7252.7 & 7274.30071419061 & -21.6007141906121 \tabularnewline
101 & 7257.5 & 7252.70114262187 & 4.79885737812765 \tabularnewline
102 & 7256.5 & 7257.49974615286 & -0.999746152864645 \tabularnewline
103 & 7253.9 & 7256.50005288398 & -2.60005288398497 \tabularnewline
104 & 7262.6 & 7253.90013753607 & 8.69986246393273 \tabularnewline
105 & 7263.6 & 7262.59953979979 & 1.00046020020727 \tabularnewline
106 & 7261.3 & 7263.59994707825 & -2.29994707824517 \tabularnewline
107 & 7250.4 & 7261.30012166125 & -10.9001216612478 \tabularnewline
108 & 7249.3 & 7250.40057658822 & -1.10057658822279 \tabularnewline
109 & 7245.6 & 7249.30005821765 & -3.70005821765335 \tabularnewline
110 & 7244.4 & 7245.6001957235 & -1.20019572350338 \tabularnewline
111 & 7253.8 & 7244.40006348725 & 9.39993651275381 \tabularnewline
112 & 7271.6 & 7253.79950276769 & 17.8004972323124 \tabularnewline
113 & 7282.7 & 7271.59905839977 & 11.1009416002307 \tabularnewline
114 & 7283 & 7282.69941278892 & 0.300587211078891 \tabularnewline
115 & 7293.3 & 7282.99998409971 & 10.3000159002859 \tabularnewline
116 & 7291.2 & 7293.29945515582 & -2.09945515581785 \tabularnewline
117 & 7298.5 & 7291.20011105574 & 7.29988894425605 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300981&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]5879.1[/C][C]5884.5[/C][C]-5.39999999999964[/C][/ROW]
[ROW][C]3[/C][C]5897.2[/C][C]5879.10028564602[/C][C]18.0997143539762[/C][/ROW]
[ROW][C]4[/C][C]5920.7[/C][C]5897.19904257196[/C][C]23.500957428043[/C][/ROW]
[ROW][C]5[/C][C]5944.6[/C][C]5920.69875686018[/C][C]23.9012431398223[/C][/ROW]
[ROW][C]6[/C][C]5982.4[/C][C]5944.5987356861[/C][C]37.8012643138991[/C][/ROW]
[ROW][C]7[/C][C]6017.4[/C][C]5982.39800041096[/C][C]35.0019995890434[/C][/ROW]
[ROW][C]8[/C][C]5980[/C][C]6017.39814848482[/C][C]-37.3981484848155[/C][/ROW]
[ROW][C]9[/C][C]6087.4[/C][C]5980.00197826526[/C][C]107.39802173474[/C][/ROW]
[ROW][C]10[/C][C]6114.5[/C][C]6087.39431892262[/C][C]27.105681077378[/C][/ROW]
[ROW][C]11[/C][C]6143.2[/C][C]6114.49856617963[/C][C]28.7014338203726[/C][/ROW]
[ROW][C]12[/C][C]6173.1[/C][C]6143.19848176844[/C][C]29.9015182315643[/C][/ROW]
[ROW][C]13[/C][C]6195.7[/C][C]6173.09841828708[/C][C]22.6015817129219[/C][/ROW]
[ROW][C]14[/C][C]6236[/C][C]6195.69880443483[/C][C]40.3011955651746[/C][/ROW]
[ROW][C]15[/C][C]6255.2[/C][C]6235.99786817106[/C][C]19.2021318289353[/C][/ROW]
[ROW][C]16[/C][C]6282.5[/C][C]6255.19898425693[/C][C]27.3010157430745[/C][/ROW]
[ROW][C]17[/C][C]6301.7[/C][C]6282.49855584693[/C][C]19.201444153071[/C][/ROW]
[ROW][C]18[/C][C]6330.9[/C][C]6301.6989842933[/C][C]29.2010157066979[/C][/ROW]
[ROW][C]19[/C][C]6350.8[/C][C]6330.89845534185[/C][C]19.9015446581525[/C][/ROW]
[ROW][C]20[/C][C]6363[/C][C]6350.7989472598[/C][C]12.2010527402017[/C][/ROW]
[ROW][C]21[/C][C]6388.6[/C][C]6362.99935459589[/C][C]25.6006454041117[/C][/ROW]
[ROW][C]22[/C][C]6411.5[/C][C]6388.59864579212[/C][C]22.901354207881[/C][/ROW]
[ROW][C]23[/C][C]6436.4[/C][C]6411.49878857764[/C][C]24.9012114223633[/C][/ROW]
[ROW][C]24[/C][C]6449.2[/C][C]6436.39868279037[/C][C]12.8013172096344[/C][/ROW]
[ROW][C]25[/C][C]6473.3[/C][C]6449.19932284345[/C][C]24.100677156548[/C][/ROW]
[ROW][C]26[/C][C]6479.5[/C][C]6473.29872513656[/C][C]6.20127486344245[/C][/ROW]
[ROW][C]27[/C][C]6507.3[/C][C]6479.49967196861[/C][C]27.8003280313897[/C][/ROW]
[ROW][C]28[/C][C]6516.1[/C][C]6507.2985294346[/C][C]8.80147056539954[/C][/ROW]
[ROW][C]29[/C][C]6534.2[/C][C]6516.09953442499[/C][C]18.1004655750121[/C][/ROW]
[ROW][C]30[/C][C]6540.6[/C][C]6534.19904253222[/C][C]6.40095746778115[/C][/ROW]
[ROW][C]31[/C][C]6542.9[/C][C]6540.59966140592[/C][C]2.30033859408195[/C][/ROW]
[ROW][C]32[/C][C]6562.6[/C][C]6542.89987831804[/C][C]19.7001216819581[/C][/ROW]
[ROW][C]33[/C][C]6577[/C][C]6562.59895791455[/C][C]14.4010420854484[/C][/ROW]
[ROW][C]34[/C][C]6596.6[/C][C]6576.99923822215[/C][C]19.6007617778532[/C][/ROW]
[ROW][C]35[/C][C]6612.1[/C][C]6596.59896317043[/C][C]15.5010368295661[/C][/ROW]
[ROW][C]36[/C][C]6626.3[/C][C]6612.09918003527[/C][C]14.200819964728[/C][/ROW]
[ROW][C]37[/C][C]6640.1[/C][C]6626.29924881338[/C][C]13.8007511866217[/C][/ROW]
[ROW][C]38[/C][C]6642.4[/C][C]6640.09926997598[/C][C]2.30073002401696[/C][/ROW]
[ROW][C]39[/C][C]6648.7[/C][C]6642.39987829734[/C][C]6.300121702664[/C][/ROW]
[ROW][C]40[/C][C]6660.8[/C][C]6648.69966673987[/C][C]12.1003332601322[/C][/ROW]
[ROW][C]41[/C][C]6668.2[/C][C]6660.79935992369[/C][C]7.40064007631099[/C][/ROW]
[ROW][C]42[/C][C]6657.7[/C][C]6668.19960852529[/C][C]-10.4996085252942[/C][/ROW]
[ROW][C]43[/C][C]6682.8[/C][C]6657.70055540212[/C][C]25.0994445978849[/C][/ROW]
[ROW][C]44[/C][C]6696.8[/C][C]6682.79867230434[/C][C]14.0013276956561[/C][/ROW]
[ROW][C]45[/C][C]6714.4[/C][C]6696.799259366[/C][C]17.6007406339959[/C][/ROW]
[ROW][C]46[/C][C]6728.2[/C][C]6714.39906896638[/C][C]13.8009310336247[/C][/ROW]
[ROW][C]47[/C][C]6741.8[/C][C]6728.19926996647[/C][C]13.6007300335314[/C][/ROW]
[ROW][C]48[/C][C]6758.4[/C][C]6741.79928055658[/C][C]16.600719443416[/C][/ROW]
[ROW][C]49[/C][C]6774[/C][C]6758.39912186491[/C][C]15.600878135092[/C][/ROW]
[ROW][C]50[/C][C]6792.3[/C][C]6773.99917475393[/C][C]18.300825246075[/C][/ROW]
[ROW][C]51[/C][C]6809.1[/C][C]6792.29903193371[/C][C]16.800968066289[/C][/ROW]
[ROW][C]52[/C][C]6832.2[/C][C]6809.09911127227[/C][C]23.1008887277249[/C][/ROW]
[ROW][C]53[/C][C]6850.3[/C][C]6832.19877802278[/C][C]18.1012219772238[/C][/ROW]
[ROW][C]54[/C][C]6861.1[/C][C]6850.29904249221[/C][C]10.8009575077922[/C][/ROW]
[ROW][C]55[/C][C]6882.6[/C][C]6861.0994286573[/C][C]21.5005713426972[/C][/ROW]
[ROW][C]56[/C][C]6900.7[/C][C]6882.59886267542[/C][C]18.1011373245756[/C][/ROW]
[ROW][C]57[/C][C]6915.1[/C][C]6900.69904249669[/C][C]14.4009575033151[/C][/ROW]
[ROW][C]58[/C][C]6947.8[/C][C]6915.09923822662[/C][C]32.700761773378[/C][/ROW]
[ROW][C]59[/C][C]6965.9[/C][C]6947.79827021434[/C][C]18.1017297856606[/C][/ROW]
[ROW][C]60[/C][C]6991.7[/C][C]6965.89904246535[/C][C]25.8009575346541[/C][/ROW]
[ROW][C]61[/C][C]6993.9[/C][C]6991.69863519613[/C][C]2.20136480387373[/C][/ROW]
[ROW][C]62[/C][C]7031.7[/C][C]6993.8998835535[/C][C]37.8001164465004[/C][/ROW]
[ROW][C]63[/C][C]7048.7[/C][C]7031.69800047168[/C][C]17.0019995283246[/C][/ROW]
[ROW][C]64[/C][C]7067.4[/C][C]7048.69910063823[/C][C]18.7008993617701[/C][/ROW]
[ROW][C]65[/C][C]7077.1[/C][C]7067.39901077083[/C][C]9.70098922917441[/C][/ROW]
[ROW][C]66[/C][C]7107.4[/C][C]7077.09948684278[/C][C]30.3005131572208[/C][/ROW]
[ROW][C]67[/C][C]7127.1[/C][C]7107.39839718128[/C][C]19.7016028187218[/C][/ROW]
[ROW][C]68[/C][C]7137.3[/C][C]7127.0989578362[/C][C]10.201042163797[/C][/ROW]
[ROW][C]69[/C][C]7147.9[/C][C]7137.29946039127[/C][C]10.6005396087276[/C][/ROW]
[ROW][C]70[/C][C]7170.6[/C][C]7147.89943925889[/C][C]22.7005607411093[/C][/ROW]
[ROW][C]71[/C][C]7193[/C][C]7170.59879919909[/C][C]22.4012008009086[/C][/ROW]
[ROW][C]72[/C][C]7220.1[/C][C]7192.99881503446[/C][C]27.1011849655424[/C][/ROW]
[ROW][C]73[/C][C]7251[/C][C]7220.09856641746[/C][C]30.9014335825404[/C][/ROW]
[ROW][C]74[/C][C]7268.1[/C][C]7250.99836539414[/C][C]17.1016346058568[/C][/ROW]
[ROW][C]75[/C][C]7282.2[/C][C]7268.09909536779[/C][C]14.1009046322069[/C][/ROW]
[ROW][C]76[/C][C]7290.2[/C][C]7282.19925409864[/C][C]8.00074590135864[/C][/ROW]
[ROW][C]77[/C][C]7292.5[/C][C]7290.19957678125[/C][C]2.30042321875044[/C][/ROW]
[ROW][C]78[/C][C]7299.6[/C][C]7292.49987831357[/C][C]7.10012168643425[/C][/ROW]
[ROW][C]79[/C][C]7305.1[/C][C]7299.59962442194[/C][C]5.50037557806081[/C][/ROW]
[ROW][C]80[/C][C]7306.9[/C][C]7305.09970904437[/C][C]1.80029095563168[/C][/ROW]
[ROW][C]81[/C][C]7313.3[/C][C]7306.89990476927[/C][C]6.40009523073331[/C][/ROW]
[ROW][C]82[/C][C]7325.6[/C][C]7313.29966145153[/C][C]12.3003385484726[/C][/ROW]
[ROW][C]83[/C][C]7348.1[/C][C]7325.59934934393[/C][C]22.500650656073[/C][/ROW]
[ROW][C]84[/C][C]7354.7[/C][C]7348.09880977382[/C][C]6.60119022618164[/C][/ROW]
[ROW][C]85[/C][C]7375.3[/C][C]7354.69965081412[/C][C]20.6003491858783[/C][/ROW]
[ROW][C]86[/C][C]7396.3[/C][C]7375.29891029485[/C][C]21.0010897051534[/C][/ROW]
[ROW][C]87[/C][C]7401.9[/C][C]7396.29888909671[/C][C]5.60111090328883[/C][/ROW]
[ROW][C]88[/C][C]7390.4[/C][C]7401.89970371573[/C][C]-11.49970371573[/C][/ROW]
[ROW][C]89[/C][C]7393.6[/C][C]7390.40060830456[/C][C]3.19939169543795[/C][/ROW]
[ROW][C]90[/C][C]7398.5[/C][C]7393.59983076046[/C][C]4.90016923953954[/C][/ROW]
[ROW][C]91[/C][C]7392.4[/C][C]7398.49974079373[/C][C]-6.09974079373023[/C][/ROW]
[ROW][C]92[/C][C]7390.8[/C][C]7392.4003226605[/C][C]-1.60032266049984[/C][/ROW]
[ROW][C]93[/C][C]7380.6[/C][C]7390.80008465293[/C][C]-10.2000846529263[/C][/ROW]
[ROW][C]94[/C][C]7365.8[/C][C]7380.60053955808[/C][C]-14.8005395580776[/C][/ROW]
[ROW][C]95[/C][C]7346.9[/C][C]7365.80078291024[/C][C]-18.9007829102356[/C][/ROW]
[ROW][C]96[/C][C]7334.1[/C][C]7346.9009998025[/C][C]-12.8009998024954[/C][/ROW]
[ROW][C]97[/C][C]7314.8[/C][C]7334.10067713976[/C][C]-19.3006771397577[/C][/ROW]
[ROW][C]98[/C][C]7287.8[/C][C]7314.80102095587[/C][C]-27.0010209558659[/C][/ROW]
[ROW][C]99[/C][C]7274.3[/C][C]7287.80142828412[/C][C]-13.501428284123[/C][/ROW]
[ROW][C]100[/C][C]7252.7[/C][C]7274.30071419061[/C][C]-21.6007141906121[/C][/ROW]
[ROW][C]101[/C][C]7257.5[/C][C]7252.70114262187[/C][C]4.79885737812765[/C][/ROW]
[ROW][C]102[/C][C]7256.5[/C][C]7257.49974615286[/C][C]-0.999746152864645[/C][/ROW]
[ROW][C]103[/C][C]7253.9[/C][C]7256.50005288398[/C][C]-2.60005288398497[/C][/ROW]
[ROW][C]104[/C][C]7262.6[/C][C]7253.90013753607[/C][C]8.69986246393273[/C][/ROW]
[ROW][C]105[/C][C]7263.6[/C][C]7262.59953979979[/C][C]1.00046020020727[/C][/ROW]
[ROW][C]106[/C][C]7261.3[/C][C]7263.59994707825[/C][C]-2.29994707824517[/C][/ROW]
[ROW][C]107[/C][C]7250.4[/C][C]7261.30012166125[/C][C]-10.9001216612478[/C][/ROW]
[ROW][C]108[/C][C]7249.3[/C][C]7250.40057658822[/C][C]-1.10057658822279[/C][/ROW]
[ROW][C]109[/C][C]7245.6[/C][C]7249.30005821765[/C][C]-3.70005821765335[/C][/ROW]
[ROW][C]110[/C][C]7244.4[/C][C]7245.6001957235[/C][C]-1.20019572350338[/C][/ROW]
[ROW][C]111[/C][C]7253.8[/C][C]7244.40006348725[/C][C]9.39993651275381[/C][/ROW]
[ROW][C]112[/C][C]7271.6[/C][C]7253.79950276769[/C][C]17.8004972323124[/C][/ROW]
[ROW][C]113[/C][C]7282.7[/C][C]7271.59905839977[/C][C]11.1009416002307[/C][/ROW]
[ROW][C]114[/C][C]7283[/C][C]7282.69941278892[/C][C]0.300587211078891[/C][/ROW]
[ROW][C]115[/C][C]7293.3[/C][C]7282.99998409971[/C][C]10.3000159002859[/C][/ROW]
[ROW][C]116[/C][C]7291.2[/C][C]7293.29945515582[/C][C]-2.09945515581785[/C][/ROW]
[ROW][C]117[/C][C]7298.5[/C][C]7291.20011105574[/C][C]7.29988894425605[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300981&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300981&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
25879.15884.5-5.39999999999964
35897.25879.1002856460218.0997143539762
45920.75897.1990425719623.500957428043
55944.65920.6987568601823.9012431398223
65982.45944.598735686137.8012643138991
76017.45982.3980004109635.0019995890434
859806017.39814848482-37.3981484848155
96087.45980.00197826526107.39802173474
106114.56087.3943189226227.105681077378
116143.26114.4985661796328.7014338203726
126173.16143.1984817684429.9015182315643
136195.76173.0984182870822.6015817129219
1462366195.6988044348340.3011955651746
156255.26235.9978681710619.2021318289353
166282.56255.1989842569327.3010157430745
176301.76282.4985558469319.201444153071
186330.96301.698984293329.2010157066979
196350.86330.8984553418519.9015446581525
2063636350.798947259812.2010527402017
216388.66362.9993545958925.6006454041117
226411.56388.5986457921222.901354207881
236436.46411.4987885776424.9012114223633
246449.26436.3986827903712.8013172096344
256473.36449.1993228434524.100677156548
266479.56473.298725136566.20127486344245
276507.36479.4996719686127.8003280313897
286516.16507.29852943468.80147056539954
296534.26516.0995344249918.1004655750121
306540.66534.199042532226.40095746778115
316542.96540.599661405922.30033859408195
326562.66542.8998783180419.7001216819581
3365776562.5989579145514.4010420854484
346596.66576.9992382221519.6007617778532
356612.16596.5989631704315.5010368295661
366626.36612.0991800352714.200819964728
376640.16626.2992488133813.8007511866217
386642.46640.099269975982.30073002401696
396648.76642.399878297346.300121702664
406660.86648.6996667398712.1003332601322
416668.26660.799359923697.40064007631099
426657.76668.19960852529-10.4996085252942
436682.86657.7005554021225.0994445978849
446696.86682.7986723043414.0013276956561
456714.46696.79925936617.6007406339959
466728.26714.3990689663813.8009310336247
476741.86728.1992699664713.6007300335314
486758.46741.7992805565816.600719443416
4967746758.3991218649115.600878135092
506792.36773.9991747539318.300825246075
516809.16792.2990319337116.800968066289
526832.26809.0991112722723.1008887277249
536850.36832.1987780227818.1012219772238
546861.16850.2990424922110.8009575077922
556882.66861.099428657321.5005713426972
566900.76882.5988626754218.1011373245756
576915.16900.6990424966914.4009575033151
586947.86915.0992382266232.700761773378
596965.96947.7982702143418.1017297856606
606991.76965.8990424653525.8009575346541
616993.96991.698635196132.20136480387373
627031.76993.899883553537.8001164465004
637048.77031.6980004716817.0019995283246
647067.47048.6991006382318.7008993617701
657077.17067.399010770839.70098922917441
667107.47077.0994868427830.3005131572208
677127.17107.3983971812819.7016028187218
687137.37127.098957836210.201042163797
697147.97137.2994603912710.6005396087276
707170.67147.8994392588922.7005607411093
7171937170.5987991990922.4012008009086
727220.17192.9988150344627.1011849655424
7372517220.0985664174630.9014335825404
747268.17250.9983653941417.1016346058568
757282.27268.0990953677914.1009046322069
767290.27282.199254098648.00074590135864
777292.57290.199576781252.30042321875044
787299.67292.499878313577.10012168643425
797305.17299.599624421945.50037557806081
807306.97305.099709044371.80029095563168
817313.37306.899904769276.40009523073331
827325.67313.2996614515312.3003385484726
837348.17325.5993493439322.500650656073
847354.77348.098809773826.60119022618164
857375.37354.6996508141220.6003491858783
867396.37375.2989102948521.0010897051534
877401.97396.298889096715.60111090328883
887390.47401.89970371573-11.49970371573
897393.67390.400608304563.19939169543795
907398.57393.599830760464.90016923953954
917392.47398.49974079373-6.09974079373023
927390.87392.4003226605-1.60032266049984
937380.67390.80008465293-10.2000846529263
947365.87380.60053955808-14.8005395580776
957346.97365.80078291024-18.9007829102356
967334.17346.9009998025-12.8009998024954
977314.87334.10067713976-19.3006771397577
987287.87314.80102095587-27.0010209558659
997274.37287.80142828412-13.501428284123
1007252.77274.30071419061-21.6007141906121
1017257.57252.701142621874.79885737812765
1027256.57257.49974615286-0.999746152864645
1037253.97256.50005288398-2.60005288398497
1047262.67253.900137536078.69986246393273
1057263.67262.599539799791.00046020020727
1067261.37263.59994707825-2.29994707824517
1077250.47261.30012166125-10.9001216612478
1087249.37250.40057658822-1.10057658822279
1097245.67249.30005821765-3.70005821765335
1107244.47245.6001957235-1.20019572350338
1117253.87244.400063487259.39993651275381
1127271.67253.7995027676917.8004972323124
1137282.77271.5990583997711.1009416002307
11472837282.699412788920.300587211078891
1157293.37282.9999840997110.3000159002859
1167291.27293.29945515582-2.09945515581785
1177298.57291.200111055747.29988894425605







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1187298.499613854777265.713853089327331.28537462022
1197298.499613854777252.134772633817344.86445507573
1207298.499613854777241.715013002787355.28421470676
1217298.499613854777232.930693729497364.06853398005
1227298.499613854777225.191526450517371.80770125903
1237298.499613854777218.194769222927378.80445848662
1247298.499613854777211.76057729217385.23865041744
1257298.499613854777205.771770914827391.22745679472
1267298.499613854777200.146956296517396.85227141302
1277298.499613854777194.826870854287402.17235685526
1287298.499613854777189.766775973477407.23245173607
1297298.499613854777184.931914106137412.06731360341

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
118 & 7298.49961385477 & 7265.71385308932 & 7331.28537462022 \tabularnewline
119 & 7298.49961385477 & 7252.13477263381 & 7344.86445507573 \tabularnewline
120 & 7298.49961385477 & 7241.71501300278 & 7355.28421470676 \tabularnewline
121 & 7298.49961385477 & 7232.93069372949 & 7364.06853398005 \tabularnewline
122 & 7298.49961385477 & 7225.19152645051 & 7371.80770125903 \tabularnewline
123 & 7298.49961385477 & 7218.19476922292 & 7378.80445848662 \tabularnewline
124 & 7298.49961385477 & 7211.7605772921 & 7385.23865041744 \tabularnewline
125 & 7298.49961385477 & 7205.77177091482 & 7391.22745679472 \tabularnewline
126 & 7298.49961385477 & 7200.14695629651 & 7396.85227141302 \tabularnewline
127 & 7298.49961385477 & 7194.82687085428 & 7402.17235685526 \tabularnewline
128 & 7298.49961385477 & 7189.76677597347 & 7407.23245173607 \tabularnewline
129 & 7298.49961385477 & 7184.93191410613 & 7412.06731360341 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300981&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]118[/C][C]7298.49961385477[/C][C]7265.71385308932[/C][C]7331.28537462022[/C][/ROW]
[ROW][C]119[/C][C]7298.49961385477[/C][C]7252.13477263381[/C][C]7344.86445507573[/C][/ROW]
[ROW][C]120[/C][C]7298.49961385477[/C][C]7241.71501300278[/C][C]7355.28421470676[/C][/ROW]
[ROW][C]121[/C][C]7298.49961385477[/C][C]7232.93069372949[/C][C]7364.06853398005[/C][/ROW]
[ROW][C]122[/C][C]7298.49961385477[/C][C]7225.19152645051[/C][C]7371.80770125903[/C][/ROW]
[ROW][C]123[/C][C]7298.49961385477[/C][C]7218.19476922292[/C][C]7378.80445848662[/C][/ROW]
[ROW][C]124[/C][C]7298.49961385477[/C][C]7211.7605772921[/C][C]7385.23865041744[/C][/ROW]
[ROW][C]125[/C][C]7298.49961385477[/C][C]7205.77177091482[/C][C]7391.22745679472[/C][/ROW]
[ROW][C]126[/C][C]7298.49961385477[/C][C]7200.14695629651[/C][C]7396.85227141302[/C][/ROW]
[ROW][C]127[/C][C]7298.49961385477[/C][C]7194.82687085428[/C][C]7402.17235685526[/C][/ROW]
[ROW][C]128[/C][C]7298.49961385477[/C][C]7189.76677597347[/C][C]7407.23245173607[/C][/ROW]
[ROW][C]129[/C][C]7298.49961385477[/C][C]7184.93191410613[/C][C]7412.06731360341[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300981&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300981&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
1187298.499613854777265.713853089327331.28537462022
1197298.499613854777252.134772633817344.86445507573
1207298.499613854777241.715013002787355.28421470676
1217298.499613854777232.930693729497364.06853398005
1227298.499613854777225.191526450517371.80770125903
1237298.499613854777218.194769222927378.80445848662
1247298.499613854777211.76057729217385.23865041744
1257298.499613854777205.771770914827391.22745679472
1267298.499613854777200.146956296517396.85227141302
1277298.499613854777194.826870854287402.17235685526
1287298.499613854777189.766775973477407.23245173607
1297298.499613854777184.931914106137412.06731360341



Parameters (Session):
par1 = 1 ; par2 = Single ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = Single ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
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$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$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')