Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 13 Aug 2016 00:14:13 +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/Aug/13/t1471043817hfcmam2alctw2ft.htm/, Retrieved Wed, 01 May 2024 23:04:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296492, Retrieved Wed, 01 May 2024 23:04:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Omzet Mentos Aardbei] [2016-07-17 11:11:37] [74be16979710d4c4e7c6647856088456]
-   P   [Univariate Data Series] [Omzet Mentos Aardbei] [2016-08-02 12:13:56] [74be16979710d4c4e7c6647856088456]
-   P     [Univariate Data Series] [] [2016-08-12 10:07:18] [74be16979710d4c4e7c6647856088456]
- R  D      [Univariate Data Series] [] [2016-08-12 10:23:50] [74be16979710d4c4e7c6647856088456]
- RMP           [Exponential Smoothing] [] [2016-08-12 23:14:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message
Dataseries X:
425.25
417.75
410.25
395.25
546.75
539.25
425.25
349.50
357.00
357.00
364.50
380.25
334.50
288.75
251.25
251.25
395.25
410.25
296.25
167.25
235.50
235.50
288.75
319.50
312.00
235.50
273.75
258.75
387.75
357.00
235.50
144.75
228.00
251.25
273.75
303.75
243.00
190.50
213.00
220.50
417.75
417.75
303.75
288.75
334.50
312.00
372.75
448.50
463.50
357.00
327.00
296.25
501.75
516.75
478.50
516.75
509.25
448.50
516.75
592.50
623.25
531.75
471.00
516.75
714.00
774.75
759.75
789.75
782.25
706.50
835.50
866.25
911.25
774.75
721.50
782.25
927.00
1056.00
1025.25
1025.25
1040.25
987.75
1124.25
1124.25
1101.00
972.00
995.25
1010.25
1109.25
1238.25
1146.75
1192.50
1154.25
1131.75
1306.50
1268.25
1215.00
1139.25
1215.00
1253.25
1299.00
1359.75
1299.00
1336.50
1290.75
1283.25
1473.00
1488.75
1428.00
1321.50
1412.25
1450.50
1496.25
1564.50
1496.25
1549.50
1526.25
1443.00
1617.75
1617.75




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=296492&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=296492&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296492&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
alpha0.14101826168975
beta0.189361151263863
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.14101826168975 \tabularnewline
beta & 0.189361151263863 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296492&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]0.14101826168975[/C][/ROW]
[ROW][C]beta[/C][C]0.189361151263863[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296492&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296492&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
alpha0.14101826168975
beta0.189361151263863
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3410.25410.250
4395.25402.75-7.5
5546.75393.992087684456152.757912315544
6539.25411.912620224723127.337379775277
7425.25429.648731944021-4.39873194402128
8349.5428.690185174595-79.1901851745947
9357415.070032044041-58.0700320440408
10357402.877540040066-45.8775400400656
11364.5391.17932666144-26.6793266614403
12380.25381.47598375282-1.22598375282013
13334.5375.329289104872-40.829289104872
14288.75362.507525141282-73.7575251412825
15251.25343.072703321387-91.8227033213869
16251.25318.63838490285-67.3883849028495
17395.25295.85025391782599.3997460821752
18410.25299.236604464377111.013395535623
19296.25307.225124597302-10.9751245973016
20167.25297.717962748106-130.467962748106
21235.5267.876192941478-32.3761929414781
22235.5251.002600203589-15.5026002035885
23288.75236.09452035189852.6554796481019
24319.5232.20405374328687.2959462567138
25312235.52962237871276.4703776212879
26235.5239.370605725005-3.87060572500474
27273.75231.77868500037141.9713149996286
28258.75231.77208823844726.9779117615534
29387.75230.371549254777157.378450745223
30357251.562404236297105.437595763703
31235.5268.244190363969-32.7441903639693
32144.75264.565440644117-119.815440644117
33228245.408577279352-17.4085772793518
34251.25240.22808391037211.021916089628
35273.75239.35113171315634.3988682868437
36303.75242.68932274299861.0606772570022
37243251.41784221854-8.41784221854027
38190.5250.1238368101-59.6238368101003
39213240.016693062042-27.0166930620417
40220.5233.786315012481-13.286315012481
41417.75229.137381484149188.612618515851
42417.75257.996479096221159.753520903779
43303.75287.05187596528916.6981240347115
44288.75296.379745800321-7.6297458003213
45334.5302.07320171627332.4267982837268
46312314.281266977423-2.28126697742312
47372.75321.53394366897851.2160563310215
48448.5337.698361732459110.801638267541
49463.5365.22421327609698.2757867239042
50357393.607986724172-36.6079867241722
51327401.993127915903-74.9931279159027
52296.25402.962693201225-106.712693201225
53501.75396.609630890232105.140369109768
54516.75422.93932242991193.8106775700886
55478.5450.17638277030628.3236172296937
56516.75468.93490802302847.8150919769716
57509.25491.71891175148117.5310882485192
58448.5510.700457235166-62.2004572351656
59516.75516.777436303369-0.0274363033693135
60592.5531.6212140653360.8787859346698
61623.25556.67955079144566.5704492085546
62531.75584.318172006037-52.5681720060372
63471593.752324063728-122.752324063728
64516.75590.011326997728-73.2613269977278
65714591.293139225098122.706860774902
66774.75623.486732617507151.263267382493
67759.75663.74654139668496.0034586033162
68789.75698.77732487366290.972675126338
69782.25735.52795395811846.7220460418815
70706.5767.286072818126-60.7860728181262
71835.5782.26039001452253.2396099854784
72866.25814.73608834474251.5139116552576
73911.25848.34402727417162.9059727258293
74774.75885.238256970882-110.488256970882
75721.5894.730323855005-173.230323855005
76782.25890.74877830057-108.49877830057
77927892.99827862868434.0017213713163
781056916.250912609896139.749087390104
791025.25958.14762936407467.1023706359261
801025.25991.59169253178933.658307468211
811040.251021.2183226351219.0316773648842
82987.751049.29054090689-61.5405409068894
831124.251064.3572645446959.8927354553093
841124.251098.1476362234126.1023637765904
8511011127.86996977496-26.8699697749616
869721149.40471790765-177.404717907649
87995.251144.97401187077-149.72401187077
881010.251140.44865364013-130.198653640132
891109.251135.19998331257-25.9499833125672
901238.251143.9593269827494.2906730172592
911146.751172.19267870111-25.4426787011114
921192.51182.862035766569.6379642334432
931154.251198.73577034263-44.4857703426333
941131.751205.78914950555-74.0391495055528
951306.51206.6978669393999.8021330606064
961268.251234.7864341727633.4635658272368
9712151254.41364229914-39.4136422991437
981139.251262.71135573615-123.461355736154
9912151255.85997118048-40.8599711804809
1001253.251259.56579093515-6.31579093515256
10112991267.9743179717631.0256820282418
1021359.751282.4771652034377.2728347965678
10312991305.56515142743-6.56515142742592
1041336.51316.6551388347119.8448611652943
1051290.751331.99934518536-41.2493451853559
1061283.251337.6266558021-54.3766558020964
10714731339.95073537117133.049264628825
1081488.751372.25815755806116.491842441941
10914281405.3414068303122.6585931696948
1101321.51425.79751543383-104.297515433828
1111412.251425.56539806358-13.3153980635766
1121450.51437.8078545902912.6921454097092
1131496.251454.0567728751842.1932271248222
1141564.51475.5925842149988.9074157850112
1151496.251506.09007777847-9.84007777846591
1161549.51522.3996081134927.1003918865131
1171526.251544.64209133973-18.3920913397346
11814431559.97817265039-116.978172650387
1191617.751558.2881035070459.4618964929616
1201617.751583.0671398470434.6828601529617

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 410.25 & 410.25 & 0 \tabularnewline
4 & 395.25 & 402.75 & -7.5 \tabularnewline
5 & 546.75 & 393.992087684456 & 152.757912315544 \tabularnewline
6 & 539.25 & 411.912620224723 & 127.337379775277 \tabularnewline
7 & 425.25 & 429.648731944021 & -4.39873194402128 \tabularnewline
8 & 349.5 & 428.690185174595 & -79.1901851745947 \tabularnewline
9 & 357 & 415.070032044041 & -58.0700320440408 \tabularnewline
10 & 357 & 402.877540040066 & -45.8775400400656 \tabularnewline
11 & 364.5 & 391.17932666144 & -26.6793266614403 \tabularnewline
12 & 380.25 & 381.47598375282 & -1.22598375282013 \tabularnewline
13 & 334.5 & 375.329289104872 & -40.829289104872 \tabularnewline
14 & 288.75 & 362.507525141282 & -73.7575251412825 \tabularnewline
15 & 251.25 & 343.072703321387 & -91.8227033213869 \tabularnewline
16 & 251.25 & 318.63838490285 & -67.3883849028495 \tabularnewline
17 & 395.25 & 295.850253917825 & 99.3997460821752 \tabularnewline
18 & 410.25 & 299.236604464377 & 111.013395535623 \tabularnewline
19 & 296.25 & 307.225124597302 & -10.9751245973016 \tabularnewline
20 & 167.25 & 297.717962748106 & -130.467962748106 \tabularnewline
21 & 235.5 & 267.876192941478 & -32.3761929414781 \tabularnewline
22 & 235.5 & 251.002600203589 & -15.5026002035885 \tabularnewline
23 & 288.75 & 236.094520351898 & 52.6554796481019 \tabularnewline
24 & 319.5 & 232.204053743286 & 87.2959462567138 \tabularnewline
25 & 312 & 235.529622378712 & 76.4703776212879 \tabularnewline
26 & 235.5 & 239.370605725005 & -3.87060572500474 \tabularnewline
27 & 273.75 & 231.778685000371 & 41.9713149996286 \tabularnewline
28 & 258.75 & 231.772088238447 & 26.9779117615534 \tabularnewline
29 & 387.75 & 230.371549254777 & 157.378450745223 \tabularnewline
30 & 357 & 251.562404236297 & 105.437595763703 \tabularnewline
31 & 235.5 & 268.244190363969 & -32.7441903639693 \tabularnewline
32 & 144.75 & 264.565440644117 & -119.815440644117 \tabularnewline
33 & 228 & 245.408577279352 & -17.4085772793518 \tabularnewline
34 & 251.25 & 240.228083910372 & 11.021916089628 \tabularnewline
35 & 273.75 & 239.351131713156 & 34.3988682868437 \tabularnewline
36 & 303.75 & 242.689322742998 & 61.0606772570022 \tabularnewline
37 & 243 & 251.41784221854 & -8.41784221854027 \tabularnewline
38 & 190.5 & 250.1238368101 & -59.6238368101003 \tabularnewline
39 & 213 & 240.016693062042 & -27.0166930620417 \tabularnewline
40 & 220.5 & 233.786315012481 & -13.286315012481 \tabularnewline
41 & 417.75 & 229.137381484149 & 188.612618515851 \tabularnewline
42 & 417.75 & 257.996479096221 & 159.753520903779 \tabularnewline
43 & 303.75 & 287.051875965289 & 16.6981240347115 \tabularnewline
44 & 288.75 & 296.379745800321 & -7.6297458003213 \tabularnewline
45 & 334.5 & 302.073201716273 & 32.4267982837268 \tabularnewline
46 & 312 & 314.281266977423 & -2.28126697742312 \tabularnewline
47 & 372.75 & 321.533943668978 & 51.2160563310215 \tabularnewline
48 & 448.5 & 337.698361732459 & 110.801638267541 \tabularnewline
49 & 463.5 & 365.224213276096 & 98.2757867239042 \tabularnewline
50 & 357 & 393.607986724172 & -36.6079867241722 \tabularnewline
51 & 327 & 401.993127915903 & -74.9931279159027 \tabularnewline
52 & 296.25 & 402.962693201225 & -106.712693201225 \tabularnewline
53 & 501.75 & 396.609630890232 & 105.140369109768 \tabularnewline
54 & 516.75 & 422.939322429911 & 93.8106775700886 \tabularnewline
55 & 478.5 & 450.176382770306 & 28.3236172296937 \tabularnewline
56 & 516.75 & 468.934908023028 & 47.8150919769716 \tabularnewline
57 & 509.25 & 491.718911751481 & 17.5310882485192 \tabularnewline
58 & 448.5 & 510.700457235166 & -62.2004572351656 \tabularnewline
59 & 516.75 & 516.777436303369 & -0.0274363033693135 \tabularnewline
60 & 592.5 & 531.62121406533 & 60.8787859346698 \tabularnewline
61 & 623.25 & 556.679550791445 & 66.5704492085546 \tabularnewline
62 & 531.75 & 584.318172006037 & -52.5681720060372 \tabularnewline
63 & 471 & 593.752324063728 & -122.752324063728 \tabularnewline
64 & 516.75 & 590.011326997728 & -73.2613269977278 \tabularnewline
65 & 714 & 591.293139225098 & 122.706860774902 \tabularnewline
66 & 774.75 & 623.486732617507 & 151.263267382493 \tabularnewline
67 & 759.75 & 663.746541396684 & 96.0034586033162 \tabularnewline
68 & 789.75 & 698.777324873662 & 90.972675126338 \tabularnewline
69 & 782.25 & 735.527953958118 & 46.7220460418815 \tabularnewline
70 & 706.5 & 767.286072818126 & -60.7860728181262 \tabularnewline
71 & 835.5 & 782.260390014522 & 53.2396099854784 \tabularnewline
72 & 866.25 & 814.736088344742 & 51.5139116552576 \tabularnewline
73 & 911.25 & 848.344027274171 & 62.9059727258293 \tabularnewline
74 & 774.75 & 885.238256970882 & -110.488256970882 \tabularnewline
75 & 721.5 & 894.730323855005 & -173.230323855005 \tabularnewline
76 & 782.25 & 890.74877830057 & -108.49877830057 \tabularnewline
77 & 927 & 892.998278628684 & 34.0017213713163 \tabularnewline
78 & 1056 & 916.250912609896 & 139.749087390104 \tabularnewline
79 & 1025.25 & 958.147629364074 & 67.1023706359261 \tabularnewline
80 & 1025.25 & 991.591692531789 & 33.658307468211 \tabularnewline
81 & 1040.25 & 1021.21832263512 & 19.0316773648842 \tabularnewline
82 & 987.75 & 1049.29054090689 & -61.5405409068894 \tabularnewline
83 & 1124.25 & 1064.35726454469 & 59.8927354553093 \tabularnewline
84 & 1124.25 & 1098.14763622341 & 26.1023637765904 \tabularnewline
85 & 1101 & 1127.86996977496 & -26.8699697749616 \tabularnewline
86 & 972 & 1149.40471790765 & -177.404717907649 \tabularnewline
87 & 995.25 & 1144.97401187077 & -149.72401187077 \tabularnewline
88 & 1010.25 & 1140.44865364013 & -130.198653640132 \tabularnewline
89 & 1109.25 & 1135.19998331257 & -25.9499833125672 \tabularnewline
90 & 1238.25 & 1143.95932698274 & 94.2906730172592 \tabularnewline
91 & 1146.75 & 1172.19267870111 & -25.4426787011114 \tabularnewline
92 & 1192.5 & 1182.86203576656 & 9.6379642334432 \tabularnewline
93 & 1154.25 & 1198.73577034263 & -44.4857703426333 \tabularnewline
94 & 1131.75 & 1205.78914950555 & -74.0391495055528 \tabularnewline
95 & 1306.5 & 1206.69786693939 & 99.8021330606064 \tabularnewline
96 & 1268.25 & 1234.78643417276 & 33.4635658272368 \tabularnewline
97 & 1215 & 1254.41364229914 & -39.4136422991437 \tabularnewline
98 & 1139.25 & 1262.71135573615 & -123.461355736154 \tabularnewline
99 & 1215 & 1255.85997118048 & -40.8599711804809 \tabularnewline
100 & 1253.25 & 1259.56579093515 & -6.31579093515256 \tabularnewline
101 & 1299 & 1267.97431797176 & 31.0256820282418 \tabularnewline
102 & 1359.75 & 1282.47716520343 & 77.2728347965678 \tabularnewline
103 & 1299 & 1305.56515142743 & -6.56515142742592 \tabularnewline
104 & 1336.5 & 1316.65513883471 & 19.8448611652943 \tabularnewline
105 & 1290.75 & 1331.99934518536 & -41.2493451853559 \tabularnewline
106 & 1283.25 & 1337.6266558021 & -54.3766558020964 \tabularnewline
107 & 1473 & 1339.95073537117 & 133.049264628825 \tabularnewline
108 & 1488.75 & 1372.25815755806 & 116.491842441941 \tabularnewline
109 & 1428 & 1405.34140683031 & 22.6585931696948 \tabularnewline
110 & 1321.5 & 1425.79751543383 & -104.297515433828 \tabularnewline
111 & 1412.25 & 1425.56539806358 & -13.3153980635766 \tabularnewline
112 & 1450.5 & 1437.80785459029 & 12.6921454097092 \tabularnewline
113 & 1496.25 & 1454.05677287518 & 42.1932271248222 \tabularnewline
114 & 1564.5 & 1475.59258421499 & 88.9074157850112 \tabularnewline
115 & 1496.25 & 1506.09007777847 & -9.84007777846591 \tabularnewline
116 & 1549.5 & 1522.39960811349 & 27.1003918865131 \tabularnewline
117 & 1526.25 & 1544.64209133973 & -18.3920913397346 \tabularnewline
118 & 1443 & 1559.97817265039 & -116.978172650387 \tabularnewline
119 & 1617.75 & 1558.28810350704 & 59.4618964929616 \tabularnewline
120 & 1617.75 & 1583.06713984704 & 34.6828601529617 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296492&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]410.25[/C][C]410.25[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]395.25[/C][C]402.75[/C][C]-7.5[/C][/ROW]
[ROW][C]5[/C][C]546.75[/C][C]393.992087684456[/C][C]152.757912315544[/C][/ROW]
[ROW][C]6[/C][C]539.25[/C][C]411.912620224723[/C][C]127.337379775277[/C][/ROW]
[ROW][C]7[/C][C]425.25[/C][C]429.648731944021[/C][C]-4.39873194402128[/C][/ROW]
[ROW][C]8[/C][C]349.5[/C][C]428.690185174595[/C][C]-79.1901851745947[/C][/ROW]
[ROW][C]9[/C][C]357[/C][C]415.070032044041[/C][C]-58.0700320440408[/C][/ROW]
[ROW][C]10[/C][C]357[/C][C]402.877540040066[/C][C]-45.8775400400656[/C][/ROW]
[ROW][C]11[/C][C]364.5[/C][C]391.17932666144[/C][C]-26.6793266614403[/C][/ROW]
[ROW][C]12[/C][C]380.25[/C][C]381.47598375282[/C][C]-1.22598375282013[/C][/ROW]
[ROW][C]13[/C][C]334.5[/C][C]375.329289104872[/C][C]-40.829289104872[/C][/ROW]
[ROW][C]14[/C][C]288.75[/C][C]362.507525141282[/C][C]-73.7575251412825[/C][/ROW]
[ROW][C]15[/C][C]251.25[/C][C]343.072703321387[/C][C]-91.8227033213869[/C][/ROW]
[ROW][C]16[/C][C]251.25[/C][C]318.63838490285[/C][C]-67.3883849028495[/C][/ROW]
[ROW][C]17[/C][C]395.25[/C][C]295.850253917825[/C][C]99.3997460821752[/C][/ROW]
[ROW][C]18[/C][C]410.25[/C][C]299.236604464377[/C][C]111.013395535623[/C][/ROW]
[ROW][C]19[/C][C]296.25[/C][C]307.225124597302[/C][C]-10.9751245973016[/C][/ROW]
[ROW][C]20[/C][C]167.25[/C][C]297.717962748106[/C][C]-130.467962748106[/C][/ROW]
[ROW][C]21[/C][C]235.5[/C][C]267.876192941478[/C][C]-32.3761929414781[/C][/ROW]
[ROW][C]22[/C][C]235.5[/C][C]251.002600203589[/C][C]-15.5026002035885[/C][/ROW]
[ROW][C]23[/C][C]288.75[/C][C]236.094520351898[/C][C]52.6554796481019[/C][/ROW]
[ROW][C]24[/C][C]319.5[/C][C]232.204053743286[/C][C]87.2959462567138[/C][/ROW]
[ROW][C]25[/C][C]312[/C][C]235.529622378712[/C][C]76.4703776212879[/C][/ROW]
[ROW][C]26[/C][C]235.5[/C][C]239.370605725005[/C][C]-3.87060572500474[/C][/ROW]
[ROW][C]27[/C][C]273.75[/C][C]231.778685000371[/C][C]41.9713149996286[/C][/ROW]
[ROW][C]28[/C][C]258.75[/C][C]231.772088238447[/C][C]26.9779117615534[/C][/ROW]
[ROW][C]29[/C][C]387.75[/C][C]230.371549254777[/C][C]157.378450745223[/C][/ROW]
[ROW][C]30[/C][C]357[/C][C]251.562404236297[/C][C]105.437595763703[/C][/ROW]
[ROW][C]31[/C][C]235.5[/C][C]268.244190363969[/C][C]-32.7441903639693[/C][/ROW]
[ROW][C]32[/C][C]144.75[/C][C]264.565440644117[/C][C]-119.815440644117[/C][/ROW]
[ROW][C]33[/C][C]228[/C][C]245.408577279352[/C][C]-17.4085772793518[/C][/ROW]
[ROW][C]34[/C][C]251.25[/C][C]240.228083910372[/C][C]11.021916089628[/C][/ROW]
[ROW][C]35[/C][C]273.75[/C][C]239.351131713156[/C][C]34.3988682868437[/C][/ROW]
[ROW][C]36[/C][C]303.75[/C][C]242.689322742998[/C][C]61.0606772570022[/C][/ROW]
[ROW][C]37[/C][C]243[/C][C]251.41784221854[/C][C]-8.41784221854027[/C][/ROW]
[ROW][C]38[/C][C]190.5[/C][C]250.1238368101[/C][C]-59.6238368101003[/C][/ROW]
[ROW][C]39[/C][C]213[/C][C]240.016693062042[/C][C]-27.0166930620417[/C][/ROW]
[ROW][C]40[/C][C]220.5[/C][C]233.786315012481[/C][C]-13.286315012481[/C][/ROW]
[ROW][C]41[/C][C]417.75[/C][C]229.137381484149[/C][C]188.612618515851[/C][/ROW]
[ROW][C]42[/C][C]417.75[/C][C]257.996479096221[/C][C]159.753520903779[/C][/ROW]
[ROW][C]43[/C][C]303.75[/C][C]287.051875965289[/C][C]16.6981240347115[/C][/ROW]
[ROW][C]44[/C][C]288.75[/C][C]296.379745800321[/C][C]-7.6297458003213[/C][/ROW]
[ROW][C]45[/C][C]334.5[/C][C]302.073201716273[/C][C]32.4267982837268[/C][/ROW]
[ROW][C]46[/C][C]312[/C][C]314.281266977423[/C][C]-2.28126697742312[/C][/ROW]
[ROW][C]47[/C][C]372.75[/C][C]321.533943668978[/C][C]51.2160563310215[/C][/ROW]
[ROW][C]48[/C][C]448.5[/C][C]337.698361732459[/C][C]110.801638267541[/C][/ROW]
[ROW][C]49[/C][C]463.5[/C][C]365.224213276096[/C][C]98.2757867239042[/C][/ROW]
[ROW][C]50[/C][C]357[/C][C]393.607986724172[/C][C]-36.6079867241722[/C][/ROW]
[ROW][C]51[/C][C]327[/C][C]401.993127915903[/C][C]-74.9931279159027[/C][/ROW]
[ROW][C]52[/C][C]296.25[/C][C]402.962693201225[/C][C]-106.712693201225[/C][/ROW]
[ROW][C]53[/C][C]501.75[/C][C]396.609630890232[/C][C]105.140369109768[/C][/ROW]
[ROW][C]54[/C][C]516.75[/C][C]422.939322429911[/C][C]93.8106775700886[/C][/ROW]
[ROW][C]55[/C][C]478.5[/C][C]450.176382770306[/C][C]28.3236172296937[/C][/ROW]
[ROW][C]56[/C][C]516.75[/C][C]468.934908023028[/C][C]47.8150919769716[/C][/ROW]
[ROW][C]57[/C][C]509.25[/C][C]491.718911751481[/C][C]17.5310882485192[/C][/ROW]
[ROW][C]58[/C][C]448.5[/C][C]510.700457235166[/C][C]-62.2004572351656[/C][/ROW]
[ROW][C]59[/C][C]516.75[/C][C]516.777436303369[/C][C]-0.0274363033693135[/C][/ROW]
[ROW][C]60[/C][C]592.5[/C][C]531.62121406533[/C][C]60.8787859346698[/C][/ROW]
[ROW][C]61[/C][C]623.25[/C][C]556.679550791445[/C][C]66.5704492085546[/C][/ROW]
[ROW][C]62[/C][C]531.75[/C][C]584.318172006037[/C][C]-52.5681720060372[/C][/ROW]
[ROW][C]63[/C][C]471[/C][C]593.752324063728[/C][C]-122.752324063728[/C][/ROW]
[ROW][C]64[/C][C]516.75[/C][C]590.011326997728[/C][C]-73.2613269977278[/C][/ROW]
[ROW][C]65[/C][C]714[/C][C]591.293139225098[/C][C]122.706860774902[/C][/ROW]
[ROW][C]66[/C][C]774.75[/C][C]623.486732617507[/C][C]151.263267382493[/C][/ROW]
[ROW][C]67[/C][C]759.75[/C][C]663.746541396684[/C][C]96.0034586033162[/C][/ROW]
[ROW][C]68[/C][C]789.75[/C][C]698.777324873662[/C][C]90.972675126338[/C][/ROW]
[ROW][C]69[/C][C]782.25[/C][C]735.527953958118[/C][C]46.7220460418815[/C][/ROW]
[ROW][C]70[/C][C]706.5[/C][C]767.286072818126[/C][C]-60.7860728181262[/C][/ROW]
[ROW][C]71[/C][C]835.5[/C][C]782.260390014522[/C][C]53.2396099854784[/C][/ROW]
[ROW][C]72[/C][C]866.25[/C][C]814.736088344742[/C][C]51.5139116552576[/C][/ROW]
[ROW][C]73[/C][C]911.25[/C][C]848.344027274171[/C][C]62.9059727258293[/C][/ROW]
[ROW][C]74[/C][C]774.75[/C][C]885.238256970882[/C][C]-110.488256970882[/C][/ROW]
[ROW][C]75[/C][C]721.5[/C][C]894.730323855005[/C][C]-173.230323855005[/C][/ROW]
[ROW][C]76[/C][C]782.25[/C][C]890.74877830057[/C][C]-108.49877830057[/C][/ROW]
[ROW][C]77[/C][C]927[/C][C]892.998278628684[/C][C]34.0017213713163[/C][/ROW]
[ROW][C]78[/C][C]1056[/C][C]916.250912609896[/C][C]139.749087390104[/C][/ROW]
[ROW][C]79[/C][C]1025.25[/C][C]958.147629364074[/C][C]67.1023706359261[/C][/ROW]
[ROW][C]80[/C][C]1025.25[/C][C]991.591692531789[/C][C]33.658307468211[/C][/ROW]
[ROW][C]81[/C][C]1040.25[/C][C]1021.21832263512[/C][C]19.0316773648842[/C][/ROW]
[ROW][C]82[/C][C]987.75[/C][C]1049.29054090689[/C][C]-61.5405409068894[/C][/ROW]
[ROW][C]83[/C][C]1124.25[/C][C]1064.35726454469[/C][C]59.8927354553093[/C][/ROW]
[ROW][C]84[/C][C]1124.25[/C][C]1098.14763622341[/C][C]26.1023637765904[/C][/ROW]
[ROW][C]85[/C][C]1101[/C][C]1127.86996977496[/C][C]-26.8699697749616[/C][/ROW]
[ROW][C]86[/C][C]972[/C][C]1149.40471790765[/C][C]-177.404717907649[/C][/ROW]
[ROW][C]87[/C][C]995.25[/C][C]1144.97401187077[/C][C]-149.72401187077[/C][/ROW]
[ROW][C]88[/C][C]1010.25[/C][C]1140.44865364013[/C][C]-130.198653640132[/C][/ROW]
[ROW][C]89[/C][C]1109.25[/C][C]1135.19998331257[/C][C]-25.9499833125672[/C][/ROW]
[ROW][C]90[/C][C]1238.25[/C][C]1143.95932698274[/C][C]94.2906730172592[/C][/ROW]
[ROW][C]91[/C][C]1146.75[/C][C]1172.19267870111[/C][C]-25.4426787011114[/C][/ROW]
[ROW][C]92[/C][C]1192.5[/C][C]1182.86203576656[/C][C]9.6379642334432[/C][/ROW]
[ROW][C]93[/C][C]1154.25[/C][C]1198.73577034263[/C][C]-44.4857703426333[/C][/ROW]
[ROW][C]94[/C][C]1131.75[/C][C]1205.78914950555[/C][C]-74.0391495055528[/C][/ROW]
[ROW][C]95[/C][C]1306.5[/C][C]1206.69786693939[/C][C]99.8021330606064[/C][/ROW]
[ROW][C]96[/C][C]1268.25[/C][C]1234.78643417276[/C][C]33.4635658272368[/C][/ROW]
[ROW][C]97[/C][C]1215[/C][C]1254.41364229914[/C][C]-39.4136422991437[/C][/ROW]
[ROW][C]98[/C][C]1139.25[/C][C]1262.71135573615[/C][C]-123.461355736154[/C][/ROW]
[ROW][C]99[/C][C]1215[/C][C]1255.85997118048[/C][C]-40.8599711804809[/C][/ROW]
[ROW][C]100[/C][C]1253.25[/C][C]1259.56579093515[/C][C]-6.31579093515256[/C][/ROW]
[ROW][C]101[/C][C]1299[/C][C]1267.97431797176[/C][C]31.0256820282418[/C][/ROW]
[ROW][C]102[/C][C]1359.75[/C][C]1282.47716520343[/C][C]77.2728347965678[/C][/ROW]
[ROW][C]103[/C][C]1299[/C][C]1305.56515142743[/C][C]-6.56515142742592[/C][/ROW]
[ROW][C]104[/C][C]1336.5[/C][C]1316.65513883471[/C][C]19.8448611652943[/C][/ROW]
[ROW][C]105[/C][C]1290.75[/C][C]1331.99934518536[/C][C]-41.2493451853559[/C][/ROW]
[ROW][C]106[/C][C]1283.25[/C][C]1337.6266558021[/C][C]-54.3766558020964[/C][/ROW]
[ROW][C]107[/C][C]1473[/C][C]1339.95073537117[/C][C]133.049264628825[/C][/ROW]
[ROW][C]108[/C][C]1488.75[/C][C]1372.25815755806[/C][C]116.491842441941[/C][/ROW]
[ROW][C]109[/C][C]1428[/C][C]1405.34140683031[/C][C]22.6585931696948[/C][/ROW]
[ROW][C]110[/C][C]1321.5[/C][C]1425.79751543383[/C][C]-104.297515433828[/C][/ROW]
[ROW][C]111[/C][C]1412.25[/C][C]1425.56539806358[/C][C]-13.3153980635766[/C][/ROW]
[ROW][C]112[/C][C]1450.5[/C][C]1437.80785459029[/C][C]12.6921454097092[/C][/ROW]
[ROW][C]113[/C][C]1496.25[/C][C]1454.05677287518[/C][C]42.1932271248222[/C][/ROW]
[ROW][C]114[/C][C]1564.5[/C][C]1475.59258421499[/C][C]88.9074157850112[/C][/ROW]
[ROW][C]115[/C][C]1496.25[/C][C]1506.09007777847[/C][C]-9.84007777846591[/C][/ROW]
[ROW][C]116[/C][C]1549.5[/C][C]1522.39960811349[/C][C]27.1003918865131[/C][/ROW]
[ROW][C]117[/C][C]1526.25[/C][C]1544.64209133973[/C][C]-18.3920913397346[/C][/ROW]
[ROW][C]118[/C][C]1443[/C][C]1559.97817265039[/C][C]-116.978172650387[/C][/ROW]
[ROW][C]119[/C][C]1617.75[/C][C]1558.28810350704[/C][C]59.4618964929616[/C][/ROW]
[ROW][C]120[/C][C]1617.75[/C][C]1583.06713984704[/C][C]34.6828601529617[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296492&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296492&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
3410.25410.250
4395.25402.75-7.5
5546.75393.992087684456152.757912315544
6539.25411.912620224723127.337379775277
7425.25429.648731944021-4.39873194402128
8349.5428.690185174595-79.1901851745947
9357415.070032044041-58.0700320440408
10357402.877540040066-45.8775400400656
11364.5391.17932666144-26.6793266614403
12380.25381.47598375282-1.22598375282013
13334.5375.329289104872-40.829289104872
14288.75362.507525141282-73.7575251412825
15251.25343.072703321387-91.8227033213869
16251.25318.63838490285-67.3883849028495
17395.25295.85025391782599.3997460821752
18410.25299.236604464377111.013395535623
19296.25307.225124597302-10.9751245973016
20167.25297.717962748106-130.467962748106
21235.5267.876192941478-32.3761929414781
22235.5251.002600203589-15.5026002035885
23288.75236.09452035189852.6554796481019
24319.5232.20405374328687.2959462567138
25312235.52962237871276.4703776212879
26235.5239.370605725005-3.87060572500474
27273.75231.77868500037141.9713149996286
28258.75231.77208823844726.9779117615534
29387.75230.371549254777157.378450745223
30357251.562404236297105.437595763703
31235.5268.244190363969-32.7441903639693
32144.75264.565440644117-119.815440644117
33228245.408577279352-17.4085772793518
34251.25240.22808391037211.021916089628
35273.75239.35113171315634.3988682868437
36303.75242.68932274299861.0606772570022
37243251.41784221854-8.41784221854027
38190.5250.1238368101-59.6238368101003
39213240.016693062042-27.0166930620417
40220.5233.786315012481-13.286315012481
41417.75229.137381484149188.612618515851
42417.75257.996479096221159.753520903779
43303.75287.05187596528916.6981240347115
44288.75296.379745800321-7.6297458003213
45334.5302.07320171627332.4267982837268
46312314.281266977423-2.28126697742312
47372.75321.53394366897851.2160563310215
48448.5337.698361732459110.801638267541
49463.5365.22421327609698.2757867239042
50357393.607986724172-36.6079867241722
51327401.993127915903-74.9931279159027
52296.25402.962693201225-106.712693201225
53501.75396.609630890232105.140369109768
54516.75422.93932242991193.8106775700886
55478.5450.17638277030628.3236172296937
56516.75468.93490802302847.8150919769716
57509.25491.71891175148117.5310882485192
58448.5510.700457235166-62.2004572351656
59516.75516.777436303369-0.0274363033693135
60592.5531.6212140653360.8787859346698
61623.25556.67955079144566.5704492085546
62531.75584.318172006037-52.5681720060372
63471593.752324063728-122.752324063728
64516.75590.011326997728-73.2613269977278
65714591.293139225098122.706860774902
66774.75623.486732617507151.263267382493
67759.75663.74654139668496.0034586033162
68789.75698.77732487366290.972675126338
69782.25735.52795395811846.7220460418815
70706.5767.286072818126-60.7860728181262
71835.5782.26039001452253.2396099854784
72866.25814.73608834474251.5139116552576
73911.25848.34402727417162.9059727258293
74774.75885.238256970882-110.488256970882
75721.5894.730323855005-173.230323855005
76782.25890.74877830057-108.49877830057
77927892.99827862868434.0017213713163
781056916.250912609896139.749087390104
791025.25958.14762936407467.1023706359261
801025.25991.59169253178933.658307468211
811040.251021.2183226351219.0316773648842
82987.751049.29054090689-61.5405409068894
831124.251064.3572645446959.8927354553093
841124.251098.1476362234126.1023637765904
8511011127.86996977496-26.8699697749616
869721149.40471790765-177.404717907649
87995.251144.97401187077-149.72401187077
881010.251140.44865364013-130.198653640132
891109.251135.19998331257-25.9499833125672
901238.251143.9593269827494.2906730172592
911146.751172.19267870111-25.4426787011114
921192.51182.862035766569.6379642334432
931154.251198.73577034263-44.4857703426333
941131.751205.78914950555-74.0391495055528
951306.51206.6978669393999.8021330606064
961268.251234.7864341727633.4635658272368
9712151254.41364229914-39.4136422991437
981139.251262.71135573615-123.461355736154
9912151255.85997118048-40.8599711804809
1001253.251259.56579093515-6.31579093515256
10112991267.9743179717631.0256820282418
1021359.751282.4771652034377.2728347965678
10312991305.56515142743-6.56515142742592
1041336.51316.6551388347119.8448611652943
1051290.751331.99934518536-41.2493451853559
1061283.251337.6266558021-54.3766558020964
10714731339.95073537117133.049264628825
1081488.751372.25815755806116.491842441941
10914281405.3414068303122.6585931696948
1101321.51425.79751543383-104.297515433828
1111412.251425.56539806358-13.3153980635766
1121450.51437.8078545902912.6921454097092
1131496.251454.0567728751842.1932271248222
1141564.51475.5925842149988.9074157850112
1151496.251506.09007777847-9.84007777846591
1161549.51522.3996081134927.1003918865131
1171526.251544.64209133973-18.3920913397346
11814431559.97817265039-116.978172650387
1191617.751558.2881035070459.4618964929616
1201617.751583.0671398470434.6828601529617







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1211605.278029163451452.38595141011758.17010691681
1221622.598001830671467.5703694391777.62563422233
1231639.917974497881482.066130685471797.76981831029
1241657.23794716511495.806109335651818.66978499454
1251674.557919832311508.738725315421840.3771143492
1261691.877892499531520.828650858681862.92713414037
1271709.197865166741532.056427024081886.3393033094
1281726.517837833961542.417102231221910.61857343669
1291743.837810501171551.918150883441935.7574701189
1301761.157783168381560.576998302481961.73856803429
1311778.47775583561568.41846698221988.537044689
1321795.797728502811575.472391939982016.12306506565

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 1605.27802916345 & 1452.3859514101 & 1758.17010691681 \tabularnewline
122 & 1622.59800183067 & 1467.570369439 & 1777.62563422233 \tabularnewline
123 & 1639.91797449788 & 1482.06613068547 & 1797.76981831029 \tabularnewline
124 & 1657.2379471651 & 1495.80610933565 & 1818.66978499454 \tabularnewline
125 & 1674.55791983231 & 1508.73872531542 & 1840.3771143492 \tabularnewline
126 & 1691.87789249953 & 1520.82865085868 & 1862.92713414037 \tabularnewline
127 & 1709.19786516674 & 1532.05642702408 & 1886.3393033094 \tabularnewline
128 & 1726.51783783396 & 1542.41710223122 & 1910.61857343669 \tabularnewline
129 & 1743.83781050117 & 1551.91815088344 & 1935.7574701189 \tabularnewline
130 & 1761.15778316838 & 1560.57699830248 & 1961.73856803429 \tabularnewline
131 & 1778.4777558356 & 1568.4184669822 & 1988.537044689 \tabularnewline
132 & 1795.79772850281 & 1575.47239193998 & 2016.12306506565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296492&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]1605.27802916345[/C][C]1452.3859514101[/C][C]1758.17010691681[/C][/ROW]
[ROW][C]122[/C][C]1622.59800183067[/C][C]1467.570369439[/C][C]1777.62563422233[/C][/ROW]
[ROW][C]123[/C][C]1639.91797449788[/C][C]1482.06613068547[/C][C]1797.76981831029[/C][/ROW]
[ROW][C]124[/C][C]1657.2379471651[/C][C]1495.80610933565[/C][C]1818.66978499454[/C][/ROW]
[ROW][C]125[/C][C]1674.55791983231[/C][C]1508.73872531542[/C][C]1840.3771143492[/C][/ROW]
[ROW][C]126[/C][C]1691.87789249953[/C][C]1520.82865085868[/C][C]1862.92713414037[/C][/ROW]
[ROW][C]127[/C][C]1709.19786516674[/C][C]1532.05642702408[/C][C]1886.3393033094[/C][/ROW]
[ROW][C]128[/C][C]1726.51783783396[/C][C]1542.41710223122[/C][C]1910.61857343669[/C][/ROW]
[ROW][C]129[/C][C]1743.83781050117[/C][C]1551.91815088344[/C][C]1935.7574701189[/C][/ROW]
[ROW][C]130[/C][C]1761.15778316838[/C][C]1560.57699830248[/C][C]1961.73856803429[/C][/ROW]
[ROW][C]131[/C][C]1778.4777558356[/C][C]1568.4184669822[/C][C]1988.537044689[/C][/ROW]
[ROW][C]132[/C][C]1795.79772850281[/C][C]1575.47239193998[/C][C]2016.12306506565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296492&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296492&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
1211605.278029163451452.38595141011758.17010691681
1221622.598001830671467.5703694391777.62563422233
1231639.917974497881482.066130685471797.76981831029
1241657.23794716511495.806109335651818.66978499454
1251674.557919832311508.738725315421840.3771143492
1261691.877892499531520.828650858681862.92713414037
1271709.197865166741532.056427024081886.3393033094
1281726.517837833961542.417102231221910.61857343669
1291743.837810501171551.918150883441935.7574701189
1301761.157783168381560.576998302481961.73856803429
1311778.47775583561568.41846698221988.537044689
1321795.797728502811575.472391939982016.12306506565



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