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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 computationSat, 13 Dec 2014 10:54:19 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/13/t1418468091wf2dvbotr5z8bki.htm/, Retrieved Thu, 16 May 2024 21:08:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266963, Retrieved Thu, 16 May 2024 21:08:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-12-13 10:54:19] [a3e248f2ee98616f420122f2d0e2525c] [Current]
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Dataseries X:
1894
1757
3582
5321
5561
5907
4944
4966
3258
1964
1743
1262
2086
1793
3548
5672
6084
4914
4990
5139
3218
2179
2238
1442
2205
2025
3531
4977
7998
4880
5231
5202
3303
2683
2202
1376
2422
1997
3163
5964
5657
6415
6208
4500
2939
2702
2090
1504
2549
1931
3013
6204
5788
5611
5594
4647
3490
2487
1992
1507
2306
2002
3075
5331
5589
5813
4876
4665
3601
2192
2111
1580
2288
1993
3228
5000
5480
5770
4962
4685
3607
2222
2467
1594
2228
1910
3157
4809
6249
4607
4975
4784
3028
2461
2218
1351
2070
1887
3024
4596
6398
4459
5382
4359
2687
2249
2154
1169
2429
1762
2846
5627
5749
4502
5720
4403
2867
2635
2059
1511
2359
1741
2917
6249
5760
6250
5134
4831
3695
2462
2146
1579




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266963&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]3 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=266963&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266963&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 time3 seconds
R Server'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.00287069695475072
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0.00287069695475072 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266963&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]1[/C][/ROW]
[ROW][C]beta[/C][C]0.00287069695475072[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266963&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266963&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
alpha1
beta0.00287069695475072
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3358216201962
453213450.632307425221870.36769257478
555615195.00156626456365.998433735441
659075436.05223685373470.947763146272
749445783.40418516324-839.404185163238
849664817.99451012509148.005489874915
932584840.41938903415-1582.41938903415
1019643127.87674251292-1163.87674251292
1117431830.53560509248-87.5356050924793
1212621609.28431689751-347.284316897508
1320861127.28736886656958.712631133442
1417931954.03954229723-161.039542297234
1535481660.577246573571887.42275342643
1656723420.995465324152251.00453467585
1760845551.45741718698532.542582813021
1849145964.98618555774-1050.98618555774
1949904791.96912271537198.03087728463
2051394868.53760935174270.462390648263
2132185018.31402491295-1800.31402491295
2221793092.14586892403-913.145868924033
2322382050.52450385887187.47549614113
2414422110.06268919473-668.062689194733
2522051312.14488366728892.855116332721
2620252077.70800013077-52.7080001307686
2735311897.55669143531633.4433085647
2849773408.245812166961568.75418783304
2979984858.749230036723139.25076996328
3048807888.76106766225-3008.76106766225
3152314762.12382642774468.876173572256
3252025114.4698278313787.5301721686274
3333035085.72110043007-1782.72110043007
3426833181.60344839589-498.603448395892
3522022560.17210899495-358.172108994953
3613762078.14390541238-702.143905412385
3724221250.128263041321171.87173695868
3819972299.49235166797-302.492351667966
3931631873.62398779521289.3760122048
4059643043.325395586962920.67460441304
4156575852.70976727967-195.709767279669
4264155545.14794384672869.852056153276
4362086305.64502549541-97.645025495407
4445006098.36471621807-1598.36471621807
4529394385.77629549464-1446.77629549464
4627022820.62303918896-118.62303918896
4720902583.2825083916-493.282508391598
4815041969.86644379693-465.866443796926
4925491382.52908241541166.4709175846
5019312430.87766692631-499.877666926313
5130131811.442669630121201.55733036988
5262042896.891976599373307.10802340063
5357886097.38568153118-309.385681531179
5456115680.49752899736-69.4975289973636
5555945503.2980226525190.7019773474913
5646475486.55840054267-839.55840054267
5734904537.1482827989-1047.1482827989
5824873377.14223741229-890.142237412293
5919922371.58690880206-379.586908802059
6015071875.4972298189-368.497229818897
6123061389.43938594342916.560614056578
6220022191.07055370704-189.070553707039
6330751886.527789444281188.47221055572
6453312962.939532999932368.06046700007
6555895225.73751697121363.26248302879
6658135484.78033347502328.219666524984
6748765709.7225526722-833.722552672199
6846654770.32918787914-105.329187879135
6936014559.02681970024-958.026819700244
7021923492.27661502636-1300.27661502636
7121112079.5439149072731.4560850927282
7215801998.63421579496-418.634215794956
7322881466.43244382652821.567556173481
7419932176.79091530815-183.790915308148
7532281881.263307287261346.73669271274
7650003120.129380209881879.87061979012
7754804897.52591907344582.47408092656
7857705379.19802564378390.801974356223
7949625670.31989968147-708.319899681473
8046854860.28652790247-175.286527902467
8136074582.78333340061-975.783333400609
8222223501.98215515692-1279.98215515692
8324672113.30771428198353.692285718025
8415942359.3230576495-765.323057649505
8522281484.12604707851743.87395292149
8619102120.26148376988-210.26148376988
8731571801.657886768721355.34211323128
8848093052.548663245821756.45133675418
8962494709.590902749411539.40909725059
9046076154.010079757-1547.010079757
9149754507.56908263207467.430917367928
9247844876.91093514312-92.9109351431171
9330284685.64421600454-1657.64421600454
9424612924.88562180159-463.885621801594
9522182356.55394675974-138.553946759735
9613512113.1562003667-762.156200366704
9720701243.96828088327826.031719116733
9818871965.33956762386-78.3395676238626
9930241782.114678465651241.88532153435
10045962922.679754876331673.32024512367
10163984499.483350208331898.51664979167
10244596306.93341617343-1847.93341617343
10353824362.628559343031019.37144065697
10443595288.55486583349-929.554865833489
10526874262.88639551087-1575.88639551087
10622492586.36250323424-337.362503234241
10721542147.394037723566.60596227644055
10811692052.41300143935-883.41300143935
10924291064.876990426331364.12300957367
11017622328.79297419582-566.792974195819
11128461660.165883330821185.83411666918
11256272747.570053718382879.42994628162
11357495536.83602449659212.163975503408
11445025659.44508297498-1157.44508297498
11557204409.122408899991310.87759110001
11644035630.88554120881-1227.88554120881
11728674310.36065392488-1443.36065392488
11826352770.21720289105-135.217202891051
11920592537.82903527848-478.829035278482
12015111960.45446222506-449.454462225062
12123591411.16421466905947.835785330947
12217412261.88516397161-520.885163971607
12329171642.389860517621274.61013948238
12462492822.048879963523426.95112003648
12557606163.88661810789-403.886618107893
12662505673.72718202323576.272817976774
12751346165.3814866469-1031.3814866469
12848315046.42070295399-215.420702953994
12936954742.80229539803-1047.80229539803
13024623603.79437253945-1141.79437253945
13121462367.51662691125-221.516626911254
13215792050.88071980495-471.880719804953

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 3582 & 1620 & 1962 \tabularnewline
4 & 5321 & 3450.63230742522 & 1870.36769257478 \tabularnewline
5 & 5561 & 5195.00156626456 & 365.998433735441 \tabularnewline
6 & 5907 & 5436.05223685373 & 470.947763146272 \tabularnewline
7 & 4944 & 5783.40418516324 & -839.404185163238 \tabularnewline
8 & 4966 & 4817.99451012509 & 148.005489874915 \tabularnewline
9 & 3258 & 4840.41938903415 & -1582.41938903415 \tabularnewline
10 & 1964 & 3127.87674251292 & -1163.87674251292 \tabularnewline
11 & 1743 & 1830.53560509248 & -87.5356050924793 \tabularnewline
12 & 1262 & 1609.28431689751 & -347.284316897508 \tabularnewline
13 & 2086 & 1127.28736886656 & 958.712631133442 \tabularnewline
14 & 1793 & 1954.03954229723 & -161.039542297234 \tabularnewline
15 & 3548 & 1660.57724657357 & 1887.42275342643 \tabularnewline
16 & 5672 & 3420.99546532415 & 2251.00453467585 \tabularnewline
17 & 6084 & 5551.45741718698 & 532.542582813021 \tabularnewline
18 & 4914 & 5964.98618555774 & -1050.98618555774 \tabularnewline
19 & 4990 & 4791.96912271537 & 198.03087728463 \tabularnewline
20 & 5139 & 4868.53760935174 & 270.462390648263 \tabularnewline
21 & 3218 & 5018.31402491295 & -1800.31402491295 \tabularnewline
22 & 2179 & 3092.14586892403 & -913.145868924033 \tabularnewline
23 & 2238 & 2050.52450385887 & 187.47549614113 \tabularnewline
24 & 1442 & 2110.06268919473 & -668.062689194733 \tabularnewline
25 & 2205 & 1312.14488366728 & 892.855116332721 \tabularnewline
26 & 2025 & 2077.70800013077 & -52.7080001307686 \tabularnewline
27 & 3531 & 1897.5566914353 & 1633.4433085647 \tabularnewline
28 & 4977 & 3408.24581216696 & 1568.75418783304 \tabularnewline
29 & 7998 & 4858.74923003672 & 3139.25076996328 \tabularnewline
30 & 4880 & 7888.76106766225 & -3008.76106766225 \tabularnewline
31 & 5231 & 4762.12382642774 & 468.876173572256 \tabularnewline
32 & 5202 & 5114.46982783137 & 87.5301721686274 \tabularnewline
33 & 3303 & 5085.72110043007 & -1782.72110043007 \tabularnewline
34 & 2683 & 3181.60344839589 & -498.603448395892 \tabularnewline
35 & 2202 & 2560.17210899495 & -358.172108994953 \tabularnewline
36 & 1376 & 2078.14390541238 & -702.143905412385 \tabularnewline
37 & 2422 & 1250.12826304132 & 1171.87173695868 \tabularnewline
38 & 1997 & 2299.49235166797 & -302.492351667966 \tabularnewline
39 & 3163 & 1873.6239877952 & 1289.3760122048 \tabularnewline
40 & 5964 & 3043.32539558696 & 2920.67460441304 \tabularnewline
41 & 5657 & 5852.70976727967 & -195.709767279669 \tabularnewline
42 & 6415 & 5545.14794384672 & 869.852056153276 \tabularnewline
43 & 6208 & 6305.64502549541 & -97.645025495407 \tabularnewline
44 & 4500 & 6098.36471621807 & -1598.36471621807 \tabularnewline
45 & 2939 & 4385.77629549464 & -1446.77629549464 \tabularnewline
46 & 2702 & 2820.62303918896 & -118.62303918896 \tabularnewline
47 & 2090 & 2583.2825083916 & -493.282508391598 \tabularnewline
48 & 1504 & 1969.86644379693 & -465.866443796926 \tabularnewline
49 & 2549 & 1382.5290824154 & 1166.4709175846 \tabularnewline
50 & 1931 & 2430.87766692631 & -499.877666926313 \tabularnewline
51 & 3013 & 1811.44266963012 & 1201.55733036988 \tabularnewline
52 & 6204 & 2896.89197659937 & 3307.10802340063 \tabularnewline
53 & 5788 & 6097.38568153118 & -309.385681531179 \tabularnewline
54 & 5611 & 5680.49752899736 & -69.4975289973636 \tabularnewline
55 & 5594 & 5503.29802265251 & 90.7019773474913 \tabularnewline
56 & 4647 & 5486.55840054267 & -839.55840054267 \tabularnewline
57 & 3490 & 4537.1482827989 & -1047.1482827989 \tabularnewline
58 & 2487 & 3377.14223741229 & -890.142237412293 \tabularnewline
59 & 1992 & 2371.58690880206 & -379.586908802059 \tabularnewline
60 & 1507 & 1875.4972298189 & -368.497229818897 \tabularnewline
61 & 2306 & 1389.43938594342 & 916.560614056578 \tabularnewline
62 & 2002 & 2191.07055370704 & -189.070553707039 \tabularnewline
63 & 3075 & 1886.52778944428 & 1188.47221055572 \tabularnewline
64 & 5331 & 2962.93953299993 & 2368.06046700007 \tabularnewline
65 & 5589 & 5225.73751697121 & 363.26248302879 \tabularnewline
66 & 5813 & 5484.78033347502 & 328.219666524984 \tabularnewline
67 & 4876 & 5709.7225526722 & -833.722552672199 \tabularnewline
68 & 4665 & 4770.32918787914 & -105.329187879135 \tabularnewline
69 & 3601 & 4559.02681970024 & -958.026819700244 \tabularnewline
70 & 2192 & 3492.27661502636 & -1300.27661502636 \tabularnewline
71 & 2111 & 2079.54391490727 & 31.4560850927282 \tabularnewline
72 & 1580 & 1998.63421579496 & -418.634215794956 \tabularnewline
73 & 2288 & 1466.43244382652 & 821.567556173481 \tabularnewline
74 & 1993 & 2176.79091530815 & -183.790915308148 \tabularnewline
75 & 3228 & 1881.26330728726 & 1346.73669271274 \tabularnewline
76 & 5000 & 3120.12938020988 & 1879.87061979012 \tabularnewline
77 & 5480 & 4897.52591907344 & 582.47408092656 \tabularnewline
78 & 5770 & 5379.19802564378 & 390.801974356223 \tabularnewline
79 & 4962 & 5670.31989968147 & -708.319899681473 \tabularnewline
80 & 4685 & 4860.28652790247 & -175.286527902467 \tabularnewline
81 & 3607 & 4582.78333340061 & -975.783333400609 \tabularnewline
82 & 2222 & 3501.98215515692 & -1279.98215515692 \tabularnewline
83 & 2467 & 2113.30771428198 & 353.692285718025 \tabularnewline
84 & 1594 & 2359.3230576495 & -765.323057649505 \tabularnewline
85 & 2228 & 1484.12604707851 & 743.87395292149 \tabularnewline
86 & 1910 & 2120.26148376988 & -210.26148376988 \tabularnewline
87 & 3157 & 1801.65788676872 & 1355.34211323128 \tabularnewline
88 & 4809 & 3052.54866324582 & 1756.45133675418 \tabularnewline
89 & 6249 & 4709.59090274941 & 1539.40909725059 \tabularnewline
90 & 4607 & 6154.010079757 & -1547.010079757 \tabularnewline
91 & 4975 & 4507.56908263207 & 467.430917367928 \tabularnewline
92 & 4784 & 4876.91093514312 & -92.9109351431171 \tabularnewline
93 & 3028 & 4685.64421600454 & -1657.64421600454 \tabularnewline
94 & 2461 & 2924.88562180159 & -463.885621801594 \tabularnewline
95 & 2218 & 2356.55394675974 & -138.553946759735 \tabularnewline
96 & 1351 & 2113.1562003667 & -762.156200366704 \tabularnewline
97 & 2070 & 1243.96828088327 & 826.031719116733 \tabularnewline
98 & 1887 & 1965.33956762386 & -78.3395676238626 \tabularnewline
99 & 3024 & 1782.11467846565 & 1241.88532153435 \tabularnewline
100 & 4596 & 2922.67975487633 & 1673.32024512367 \tabularnewline
101 & 6398 & 4499.48335020833 & 1898.51664979167 \tabularnewline
102 & 4459 & 6306.93341617343 & -1847.93341617343 \tabularnewline
103 & 5382 & 4362.62855934303 & 1019.37144065697 \tabularnewline
104 & 4359 & 5288.55486583349 & -929.554865833489 \tabularnewline
105 & 2687 & 4262.88639551087 & -1575.88639551087 \tabularnewline
106 & 2249 & 2586.36250323424 & -337.362503234241 \tabularnewline
107 & 2154 & 2147.39403772356 & 6.60596227644055 \tabularnewline
108 & 1169 & 2052.41300143935 & -883.41300143935 \tabularnewline
109 & 2429 & 1064.87699042633 & 1364.12300957367 \tabularnewline
110 & 1762 & 2328.79297419582 & -566.792974195819 \tabularnewline
111 & 2846 & 1660.16588333082 & 1185.83411666918 \tabularnewline
112 & 5627 & 2747.57005371838 & 2879.42994628162 \tabularnewline
113 & 5749 & 5536.83602449659 & 212.163975503408 \tabularnewline
114 & 4502 & 5659.44508297498 & -1157.44508297498 \tabularnewline
115 & 5720 & 4409.12240889999 & 1310.87759110001 \tabularnewline
116 & 4403 & 5630.88554120881 & -1227.88554120881 \tabularnewline
117 & 2867 & 4310.36065392488 & -1443.36065392488 \tabularnewline
118 & 2635 & 2770.21720289105 & -135.217202891051 \tabularnewline
119 & 2059 & 2537.82903527848 & -478.829035278482 \tabularnewline
120 & 1511 & 1960.45446222506 & -449.454462225062 \tabularnewline
121 & 2359 & 1411.16421466905 & 947.835785330947 \tabularnewline
122 & 1741 & 2261.88516397161 & -520.885163971607 \tabularnewline
123 & 2917 & 1642.38986051762 & 1274.61013948238 \tabularnewline
124 & 6249 & 2822.04887996352 & 3426.95112003648 \tabularnewline
125 & 5760 & 6163.88661810789 & -403.886618107893 \tabularnewline
126 & 6250 & 5673.72718202323 & 576.272817976774 \tabularnewline
127 & 5134 & 6165.3814866469 & -1031.3814866469 \tabularnewline
128 & 4831 & 5046.42070295399 & -215.420702953994 \tabularnewline
129 & 3695 & 4742.80229539803 & -1047.80229539803 \tabularnewline
130 & 2462 & 3603.79437253945 & -1141.79437253945 \tabularnewline
131 & 2146 & 2367.51662691125 & -221.516626911254 \tabularnewline
132 & 1579 & 2050.88071980495 & -471.880719804953 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266963&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]3582[/C][C]1620[/C][C]1962[/C][/ROW]
[ROW][C]4[/C][C]5321[/C][C]3450.63230742522[/C][C]1870.36769257478[/C][/ROW]
[ROW][C]5[/C][C]5561[/C][C]5195.00156626456[/C][C]365.998433735441[/C][/ROW]
[ROW][C]6[/C][C]5907[/C][C]5436.05223685373[/C][C]470.947763146272[/C][/ROW]
[ROW][C]7[/C][C]4944[/C][C]5783.40418516324[/C][C]-839.404185163238[/C][/ROW]
[ROW][C]8[/C][C]4966[/C][C]4817.99451012509[/C][C]148.005489874915[/C][/ROW]
[ROW][C]9[/C][C]3258[/C][C]4840.41938903415[/C][C]-1582.41938903415[/C][/ROW]
[ROW][C]10[/C][C]1964[/C][C]3127.87674251292[/C][C]-1163.87674251292[/C][/ROW]
[ROW][C]11[/C][C]1743[/C][C]1830.53560509248[/C][C]-87.5356050924793[/C][/ROW]
[ROW][C]12[/C][C]1262[/C][C]1609.28431689751[/C][C]-347.284316897508[/C][/ROW]
[ROW][C]13[/C][C]2086[/C][C]1127.28736886656[/C][C]958.712631133442[/C][/ROW]
[ROW][C]14[/C][C]1793[/C][C]1954.03954229723[/C][C]-161.039542297234[/C][/ROW]
[ROW][C]15[/C][C]3548[/C][C]1660.57724657357[/C][C]1887.42275342643[/C][/ROW]
[ROW][C]16[/C][C]5672[/C][C]3420.99546532415[/C][C]2251.00453467585[/C][/ROW]
[ROW][C]17[/C][C]6084[/C][C]5551.45741718698[/C][C]532.542582813021[/C][/ROW]
[ROW][C]18[/C][C]4914[/C][C]5964.98618555774[/C][C]-1050.98618555774[/C][/ROW]
[ROW][C]19[/C][C]4990[/C][C]4791.96912271537[/C][C]198.03087728463[/C][/ROW]
[ROW][C]20[/C][C]5139[/C][C]4868.53760935174[/C][C]270.462390648263[/C][/ROW]
[ROW][C]21[/C][C]3218[/C][C]5018.31402491295[/C][C]-1800.31402491295[/C][/ROW]
[ROW][C]22[/C][C]2179[/C][C]3092.14586892403[/C][C]-913.145868924033[/C][/ROW]
[ROW][C]23[/C][C]2238[/C][C]2050.52450385887[/C][C]187.47549614113[/C][/ROW]
[ROW][C]24[/C][C]1442[/C][C]2110.06268919473[/C][C]-668.062689194733[/C][/ROW]
[ROW][C]25[/C][C]2205[/C][C]1312.14488366728[/C][C]892.855116332721[/C][/ROW]
[ROW][C]26[/C][C]2025[/C][C]2077.70800013077[/C][C]-52.7080001307686[/C][/ROW]
[ROW][C]27[/C][C]3531[/C][C]1897.5566914353[/C][C]1633.4433085647[/C][/ROW]
[ROW][C]28[/C][C]4977[/C][C]3408.24581216696[/C][C]1568.75418783304[/C][/ROW]
[ROW][C]29[/C][C]7998[/C][C]4858.74923003672[/C][C]3139.25076996328[/C][/ROW]
[ROW][C]30[/C][C]4880[/C][C]7888.76106766225[/C][C]-3008.76106766225[/C][/ROW]
[ROW][C]31[/C][C]5231[/C][C]4762.12382642774[/C][C]468.876173572256[/C][/ROW]
[ROW][C]32[/C][C]5202[/C][C]5114.46982783137[/C][C]87.5301721686274[/C][/ROW]
[ROW][C]33[/C][C]3303[/C][C]5085.72110043007[/C][C]-1782.72110043007[/C][/ROW]
[ROW][C]34[/C][C]2683[/C][C]3181.60344839589[/C][C]-498.603448395892[/C][/ROW]
[ROW][C]35[/C][C]2202[/C][C]2560.17210899495[/C][C]-358.172108994953[/C][/ROW]
[ROW][C]36[/C][C]1376[/C][C]2078.14390541238[/C][C]-702.143905412385[/C][/ROW]
[ROW][C]37[/C][C]2422[/C][C]1250.12826304132[/C][C]1171.87173695868[/C][/ROW]
[ROW][C]38[/C][C]1997[/C][C]2299.49235166797[/C][C]-302.492351667966[/C][/ROW]
[ROW][C]39[/C][C]3163[/C][C]1873.6239877952[/C][C]1289.3760122048[/C][/ROW]
[ROW][C]40[/C][C]5964[/C][C]3043.32539558696[/C][C]2920.67460441304[/C][/ROW]
[ROW][C]41[/C][C]5657[/C][C]5852.70976727967[/C][C]-195.709767279669[/C][/ROW]
[ROW][C]42[/C][C]6415[/C][C]5545.14794384672[/C][C]869.852056153276[/C][/ROW]
[ROW][C]43[/C][C]6208[/C][C]6305.64502549541[/C][C]-97.645025495407[/C][/ROW]
[ROW][C]44[/C][C]4500[/C][C]6098.36471621807[/C][C]-1598.36471621807[/C][/ROW]
[ROW][C]45[/C][C]2939[/C][C]4385.77629549464[/C][C]-1446.77629549464[/C][/ROW]
[ROW][C]46[/C][C]2702[/C][C]2820.62303918896[/C][C]-118.62303918896[/C][/ROW]
[ROW][C]47[/C][C]2090[/C][C]2583.2825083916[/C][C]-493.282508391598[/C][/ROW]
[ROW][C]48[/C][C]1504[/C][C]1969.86644379693[/C][C]-465.866443796926[/C][/ROW]
[ROW][C]49[/C][C]2549[/C][C]1382.5290824154[/C][C]1166.4709175846[/C][/ROW]
[ROW][C]50[/C][C]1931[/C][C]2430.87766692631[/C][C]-499.877666926313[/C][/ROW]
[ROW][C]51[/C][C]3013[/C][C]1811.44266963012[/C][C]1201.55733036988[/C][/ROW]
[ROW][C]52[/C][C]6204[/C][C]2896.89197659937[/C][C]3307.10802340063[/C][/ROW]
[ROW][C]53[/C][C]5788[/C][C]6097.38568153118[/C][C]-309.385681531179[/C][/ROW]
[ROW][C]54[/C][C]5611[/C][C]5680.49752899736[/C][C]-69.4975289973636[/C][/ROW]
[ROW][C]55[/C][C]5594[/C][C]5503.29802265251[/C][C]90.7019773474913[/C][/ROW]
[ROW][C]56[/C][C]4647[/C][C]5486.55840054267[/C][C]-839.55840054267[/C][/ROW]
[ROW][C]57[/C][C]3490[/C][C]4537.1482827989[/C][C]-1047.1482827989[/C][/ROW]
[ROW][C]58[/C][C]2487[/C][C]3377.14223741229[/C][C]-890.142237412293[/C][/ROW]
[ROW][C]59[/C][C]1992[/C][C]2371.58690880206[/C][C]-379.586908802059[/C][/ROW]
[ROW][C]60[/C][C]1507[/C][C]1875.4972298189[/C][C]-368.497229818897[/C][/ROW]
[ROW][C]61[/C][C]2306[/C][C]1389.43938594342[/C][C]916.560614056578[/C][/ROW]
[ROW][C]62[/C][C]2002[/C][C]2191.07055370704[/C][C]-189.070553707039[/C][/ROW]
[ROW][C]63[/C][C]3075[/C][C]1886.52778944428[/C][C]1188.47221055572[/C][/ROW]
[ROW][C]64[/C][C]5331[/C][C]2962.93953299993[/C][C]2368.06046700007[/C][/ROW]
[ROW][C]65[/C][C]5589[/C][C]5225.73751697121[/C][C]363.26248302879[/C][/ROW]
[ROW][C]66[/C][C]5813[/C][C]5484.78033347502[/C][C]328.219666524984[/C][/ROW]
[ROW][C]67[/C][C]4876[/C][C]5709.7225526722[/C][C]-833.722552672199[/C][/ROW]
[ROW][C]68[/C][C]4665[/C][C]4770.32918787914[/C][C]-105.329187879135[/C][/ROW]
[ROW][C]69[/C][C]3601[/C][C]4559.02681970024[/C][C]-958.026819700244[/C][/ROW]
[ROW][C]70[/C][C]2192[/C][C]3492.27661502636[/C][C]-1300.27661502636[/C][/ROW]
[ROW][C]71[/C][C]2111[/C][C]2079.54391490727[/C][C]31.4560850927282[/C][/ROW]
[ROW][C]72[/C][C]1580[/C][C]1998.63421579496[/C][C]-418.634215794956[/C][/ROW]
[ROW][C]73[/C][C]2288[/C][C]1466.43244382652[/C][C]821.567556173481[/C][/ROW]
[ROW][C]74[/C][C]1993[/C][C]2176.79091530815[/C][C]-183.790915308148[/C][/ROW]
[ROW][C]75[/C][C]3228[/C][C]1881.26330728726[/C][C]1346.73669271274[/C][/ROW]
[ROW][C]76[/C][C]5000[/C][C]3120.12938020988[/C][C]1879.87061979012[/C][/ROW]
[ROW][C]77[/C][C]5480[/C][C]4897.52591907344[/C][C]582.47408092656[/C][/ROW]
[ROW][C]78[/C][C]5770[/C][C]5379.19802564378[/C][C]390.801974356223[/C][/ROW]
[ROW][C]79[/C][C]4962[/C][C]5670.31989968147[/C][C]-708.319899681473[/C][/ROW]
[ROW][C]80[/C][C]4685[/C][C]4860.28652790247[/C][C]-175.286527902467[/C][/ROW]
[ROW][C]81[/C][C]3607[/C][C]4582.78333340061[/C][C]-975.783333400609[/C][/ROW]
[ROW][C]82[/C][C]2222[/C][C]3501.98215515692[/C][C]-1279.98215515692[/C][/ROW]
[ROW][C]83[/C][C]2467[/C][C]2113.30771428198[/C][C]353.692285718025[/C][/ROW]
[ROW][C]84[/C][C]1594[/C][C]2359.3230576495[/C][C]-765.323057649505[/C][/ROW]
[ROW][C]85[/C][C]2228[/C][C]1484.12604707851[/C][C]743.87395292149[/C][/ROW]
[ROW][C]86[/C][C]1910[/C][C]2120.26148376988[/C][C]-210.26148376988[/C][/ROW]
[ROW][C]87[/C][C]3157[/C][C]1801.65788676872[/C][C]1355.34211323128[/C][/ROW]
[ROW][C]88[/C][C]4809[/C][C]3052.54866324582[/C][C]1756.45133675418[/C][/ROW]
[ROW][C]89[/C][C]6249[/C][C]4709.59090274941[/C][C]1539.40909725059[/C][/ROW]
[ROW][C]90[/C][C]4607[/C][C]6154.010079757[/C][C]-1547.010079757[/C][/ROW]
[ROW][C]91[/C][C]4975[/C][C]4507.56908263207[/C][C]467.430917367928[/C][/ROW]
[ROW][C]92[/C][C]4784[/C][C]4876.91093514312[/C][C]-92.9109351431171[/C][/ROW]
[ROW][C]93[/C][C]3028[/C][C]4685.64421600454[/C][C]-1657.64421600454[/C][/ROW]
[ROW][C]94[/C][C]2461[/C][C]2924.88562180159[/C][C]-463.885621801594[/C][/ROW]
[ROW][C]95[/C][C]2218[/C][C]2356.55394675974[/C][C]-138.553946759735[/C][/ROW]
[ROW][C]96[/C][C]1351[/C][C]2113.1562003667[/C][C]-762.156200366704[/C][/ROW]
[ROW][C]97[/C][C]2070[/C][C]1243.96828088327[/C][C]826.031719116733[/C][/ROW]
[ROW][C]98[/C][C]1887[/C][C]1965.33956762386[/C][C]-78.3395676238626[/C][/ROW]
[ROW][C]99[/C][C]3024[/C][C]1782.11467846565[/C][C]1241.88532153435[/C][/ROW]
[ROW][C]100[/C][C]4596[/C][C]2922.67975487633[/C][C]1673.32024512367[/C][/ROW]
[ROW][C]101[/C][C]6398[/C][C]4499.48335020833[/C][C]1898.51664979167[/C][/ROW]
[ROW][C]102[/C][C]4459[/C][C]6306.93341617343[/C][C]-1847.93341617343[/C][/ROW]
[ROW][C]103[/C][C]5382[/C][C]4362.62855934303[/C][C]1019.37144065697[/C][/ROW]
[ROW][C]104[/C][C]4359[/C][C]5288.55486583349[/C][C]-929.554865833489[/C][/ROW]
[ROW][C]105[/C][C]2687[/C][C]4262.88639551087[/C][C]-1575.88639551087[/C][/ROW]
[ROW][C]106[/C][C]2249[/C][C]2586.36250323424[/C][C]-337.362503234241[/C][/ROW]
[ROW][C]107[/C][C]2154[/C][C]2147.39403772356[/C][C]6.60596227644055[/C][/ROW]
[ROW][C]108[/C][C]1169[/C][C]2052.41300143935[/C][C]-883.41300143935[/C][/ROW]
[ROW][C]109[/C][C]2429[/C][C]1064.87699042633[/C][C]1364.12300957367[/C][/ROW]
[ROW][C]110[/C][C]1762[/C][C]2328.79297419582[/C][C]-566.792974195819[/C][/ROW]
[ROW][C]111[/C][C]2846[/C][C]1660.16588333082[/C][C]1185.83411666918[/C][/ROW]
[ROW][C]112[/C][C]5627[/C][C]2747.57005371838[/C][C]2879.42994628162[/C][/ROW]
[ROW][C]113[/C][C]5749[/C][C]5536.83602449659[/C][C]212.163975503408[/C][/ROW]
[ROW][C]114[/C][C]4502[/C][C]5659.44508297498[/C][C]-1157.44508297498[/C][/ROW]
[ROW][C]115[/C][C]5720[/C][C]4409.12240889999[/C][C]1310.87759110001[/C][/ROW]
[ROW][C]116[/C][C]4403[/C][C]5630.88554120881[/C][C]-1227.88554120881[/C][/ROW]
[ROW][C]117[/C][C]2867[/C][C]4310.36065392488[/C][C]-1443.36065392488[/C][/ROW]
[ROW][C]118[/C][C]2635[/C][C]2770.21720289105[/C][C]-135.217202891051[/C][/ROW]
[ROW][C]119[/C][C]2059[/C][C]2537.82903527848[/C][C]-478.829035278482[/C][/ROW]
[ROW][C]120[/C][C]1511[/C][C]1960.45446222506[/C][C]-449.454462225062[/C][/ROW]
[ROW][C]121[/C][C]2359[/C][C]1411.16421466905[/C][C]947.835785330947[/C][/ROW]
[ROW][C]122[/C][C]1741[/C][C]2261.88516397161[/C][C]-520.885163971607[/C][/ROW]
[ROW][C]123[/C][C]2917[/C][C]1642.38986051762[/C][C]1274.61013948238[/C][/ROW]
[ROW][C]124[/C][C]6249[/C][C]2822.04887996352[/C][C]3426.95112003648[/C][/ROW]
[ROW][C]125[/C][C]5760[/C][C]6163.88661810789[/C][C]-403.886618107893[/C][/ROW]
[ROW][C]126[/C][C]6250[/C][C]5673.72718202323[/C][C]576.272817976774[/C][/ROW]
[ROW][C]127[/C][C]5134[/C][C]6165.3814866469[/C][C]-1031.3814866469[/C][/ROW]
[ROW][C]128[/C][C]4831[/C][C]5046.42070295399[/C][C]-215.420702953994[/C][/ROW]
[ROW][C]129[/C][C]3695[/C][C]4742.80229539803[/C][C]-1047.80229539803[/C][/ROW]
[ROW][C]130[/C][C]2462[/C][C]3603.79437253945[/C][C]-1141.79437253945[/C][/ROW]
[ROW][C]131[/C][C]2146[/C][C]2367.51662691125[/C][C]-221.516626911254[/C][/ROW]
[ROW][C]132[/C][C]1579[/C][C]2050.88071980495[/C][C]-471.880719804953[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266963&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266963&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
3358216201962
453213450.632307425221870.36769257478
555615195.00156626456365.998433735441
659075436.05223685373470.947763146272
749445783.40418516324-839.404185163238
849664817.99451012509148.005489874915
932584840.41938903415-1582.41938903415
1019643127.87674251292-1163.87674251292
1117431830.53560509248-87.5356050924793
1212621609.28431689751-347.284316897508
1320861127.28736886656958.712631133442
1417931954.03954229723-161.039542297234
1535481660.577246573571887.42275342643
1656723420.995465324152251.00453467585
1760845551.45741718698532.542582813021
1849145964.98618555774-1050.98618555774
1949904791.96912271537198.03087728463
2051394868.53760935174270.462390648263
2132185018.31402491295-1800.31402491295
2221793092.14586892403-913.145868924033
2322382050.52450385887187.47549614113
2414422110.06268919473-668.062689194733
2522051312.14488366728892.855116332721
2620252077.70800013077-52.7080001307686
2735311897.55669143531633.4433085647
2849773408.245812166961568.75418783304
2979984858.749230036723139.25076996328
3048807888.76106766225-3008.76106766225
3152314762.12382642774468.876173572256
3252025114.4698278313787.5301721686274
3333035085.72110043007-1782.72110043007
3426833181.60344839589-498.603448395892
3522022560.17210899495-358.172108994953
3613762078.14390541238-702.143905412385
3724221250.128263041321171.87173695868
3819972299.49235166797-302.492351667966
3931631873.62398779521289.3760122048
4059643043.325395586962920.67460441304
4156575852.70976727967-195.709767279669
4264155545.14794384672869.852056153276
4362086305.64502549541-97.645025495407
4445006098.36471621807-1598.36471621807
4529394385.77629549464-1446.77629549464
4627022820.62303918896-118.62303918896
4720902583.2825083916-493.282508391598
4815041969.86644379693-465.866443796926
4925491382.52908241541166.4709175846
5019312430.87766692631-499.877666926313
5130131811.442669630121201.55733036988
5262042896.891976599373307.10802340063
5357886097.38568153118-309.385681531179
5456115680.49752899736-69.4975289973636
5555945503.2980226525190.7019773474913
5646475486.55840054267-839.55840054267
5734904537.1482827989-1047.1482827989
5824873377.14223741229-890.142237412293
5919922371.58690880206-379.586908802059
6015071875.4972298189-368.497229818897
6123061389.43938594342916.560614056578
6220022191.07055370704-189.070553707039
6330751886.527789444281188.47221055572
6453312962.939532999932368.06046700007
6555895225.73751697121363.26248302879
6658135484.78033347502328.219666524984
6748765709.7225526722-833.722552672199
6846654770.32918787914-105.329187879135
6936014559.02681970024-958.026819700244
7021923492.27661502636-1300.27661502636
7121112079.5439149072731.4560850927282
7215801998.63421579496-418.634215794956
7322881466.43244382652821.567556173481
7419932176.79091530815-183.790915308148
7532281881.263307287261346.73669271274
7650003120.129380209881879.87061979012
7754804897.52591907344582.47408092656
7857705379.19802564378390.801974356223
7949625670.31989968147-708.319899681473
8046854860.28652790247-175.286527902467
8136074582.78333340061-975.783333400609
8222223501.98215515692-1279.98215515692
8324672113.30771428198353.692285718025
8415942359.3230576495-765.323057649505
8522281484.12604707851743.87395292149
8619102120.26148376988-210.26148376988
8731571801.657886768721355.34211323128
8848093052.548663245821756.45133675418
8962494709.590902749411539.40909725059
9046076154.010079757-1547.010079757
9149754507.56908263207467.430917367928
9247844876.91093514312-92.9109351431171
9330284685.64421600454-1657.64421600454
9424612924.88562180159-463.885621801594
9522182356.55394675974-138.553946759735
9613512113.1562003667-762.156200366704
9720701243.96828088327826.031719116733
9818871965.33956762386-78.3395676238626
9930241782.114678465651241.88532153435
10045962922.679754876331673.32024512367
10163984499.483350208331898.51664979167
10244596306.93341617343-1847.93341617343
10353824362.628559343031019.37144065697
10443595288.55486583349-929.554865833489
10526874262.88639551087-1575.88639551087
10622492586.36250323424-337.362503234241
10721542147.394037723566.60596227644055
10811692052.41300143935-883.41300143935
10924291064.876990426331364.12300957367
11017622328.79297419582-566.792974195819
11128461660.165883330821185.83411666918
11256272747.570053718382879.42994628162
11357495536.83602449659212.163975503408
11445025659.44508297498-1157.44508297498
11557204409.122408899991310.87759110001
11644035630.88554120881-1227.88554120881
11728674310.36065392488-1443.36065392488
11826352770.21720289105-135.217202891051
11920592537.82903527848-478.829035278482
12015111960.45446222506-449.454462225062
12123591411.16421466905947.835785330947
12217412261.88516397161-520.885163971607
12329171642.389860517621274.61013948238
12462492822.048879963523426.95112003648
12557606163.88661810789-403.886618107893
12662505673.72718202323576.272817976774
12751346165.3814866469-1031.3814866469
12848315046.42070295399-215.420702953994
12936954742.80229539803-1047.80229539803
13024623603.79437253945-1141.79437253945
13121462367.51662691125-221.516626911254
13215792050.88071980495-471.880719804953







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331482.5260932596-841.9090530765343806.96123959574
1341386.05218651921-1905.917249659814678.02162269822
1351289.57827977881-2748.030060414425327.18661997204
1361193.10437303841-3475.808007898055862.01675397487
1371096.63046629802-4130.848558632066324.1094912281
1381000.15655955762-4734.453502654126734.76662176936
139903.682652817222-5299.25848027657106.62378591095
140807.208746076825-5833.484321085477447.90181323912
141710.734839336428-6342.83296367437764.30264234716
142614.260932596031-6831.449964962288059.97183015434
143517.787025855635-7302.460381896888338.03443360815
144421.313119115237-7758.288585622548600.91482385301

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1482.5260932596 & -841.909053076534 & 3806.96123959574 \tabularnewline
134 & 1386.05218651921 & -1905.91724965981 & 4678.02162269822 \tabularnewline
135 & 1289.57827977881 & -2748.03006041442 & 5327.18661997204 \tabularnewline
136 & 1193.10437303841 & -3475.80800789805 & 5862.01675397487 \tabularnewline
137 & 1096.63046629802 & -4130.84855863206 & 6324.1094912281 \tabularnewline
138 & 1000.15655955762 & -4734.45350265412 & 6734.76662176936 \tabularnewline
139 & 903.682652817222 & -5299.2584802765 & 7106.62378591095 \tabularnewline
140 & 807.208746076825 & -5833.48432108547 & 7447.90181323912 \tabularnewline
141 & 710.734839336428 & -6342.8329636743 & 7764.30264234716 \tabularnewline
142 & 614.260932596031 & -6831.44996496228 & 8059.97183015434 \tabularnewline
143 & 517.787025855635 & -7302.46038189688 & 8338.03443360815 \tabularnewline
144 & 421.313119115237 & -7758.28858562254 & 8600.91482385301 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266963&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]1482.5260932596[/C][C]-841.909053076534[/C][C]3806.96123959574[/C][/ROW]
[ROW][C]134[/C][C]1386.05218651921[/C][C]-1905.91724965981[/C][C]4678.02162269822[/C][/ROW]
[ROW][C]135[/C][C]1289.57827977881[/C][C]-2748.03006041442[/C][C]5327.18661997204[/C][/ROW]
[ROW][C]136[/C][C]1193.10437303841[/C][C]-3475.80800789805[/C][C]5862.01675397487[/C][/ROW]
[ROW][C]137[/C][C]1096.63046629802[/C][C]-4130.84855863206[/C][C]6324.1094912281[/C][/ROW]
[ROW][C]138[/C][C]1000.15655955762[/C][C]-4734.45350265412[/C][C]6734.76662176936[/C][/ROW]
[ROW][C]139[/C][C]903.682652817222[/C][C]-5299.2584802765[/C][C]7106.62378591095[/C][/ROW]
[ROW][C]140[/C][C]807.208746076825[/C][C]-5833.48432108547[/C][C]7447.90181323912[/C][/ROW]
[ROW][C]141[/C][C]710.734839336428[/C][C]-6342.8329636743[/C][C]7764.30264234716[/C][/ROW]
[ROW][C]142[/C][C]614.260932596031[/C][C]-6831.44996496228[/C][C]8059.97183015434[/C][/ROW]
[ROW][C]143[/C][C]517.787025855635[/C][C]-7302.46038189688[/C][C]8338.03443360815[/C][/ROW]
[ROW][C]144[/C][C]421.313119115237[/C][C]-7758.28858562254[/C][C]8600.91482385301[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266963&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266963&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
1331482.5260932596-841.9090530765343806.96123959574
1341386.05218651921-1905.917249659814678.02162269822
1351289.57827977881-2748.030060414425327.18661997204
1361193.10437303841-3475.808007898055862.01675397487
1371096.63046629802-4130.848558632066324.1094912281
1381000.15655955762-4734.453502654126734.76662176936
139903.682652817222-5299.25848027657106.62378591095
140807.208746076825-5833.484321085477447.90181323912
141710.734839336428-6342.83296367437764.30264234716
142614.260932596031-6831.449964962288059.97183015434
143517.787025855635-7302.460381896888338.03443360815
144421.313119115237-7758.288585622548600.91482385301



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = additive ;
R code (references can be found in the software module):
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')