Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 02 Jun 2010 14:51:29 +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/2010/Jun/02/t1275490558fe5o88k86g7s6dl.htm/, Retrieved Sat, 20 Apr 2024 10:12:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77306, Retrieved Sat, 20 Apr 2024 10:12:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W62
Estimated Impact133
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2010-06-02 14:51:29] [64b736d20c8e0a8542a5a7c9128a9b74] [Current]
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Dataseries X:
182900
191400
189300
192200
187900
193900
189100
193100
194800
200200
211500
202100
200300
199200
204900
207300
200000
197700
202200
200200
208300
215100
210700
208100
209000
211000
210200
205500
211400
211700
209300
207500
203300
207100
206900
228700
226900
226500
227100
228100
226500
225200
217800
221300
215300
231300
227100
237800
230200
233400
231100
237200
243700
239700
248400
241000
254500
242800
268300
253900
262100
264100
261000
269300
260400
263200
279200
272200
269200
289600
283200
284300
283000
289100
289600
289100
287400
279600
289300
295000
299600
293600
294400
290200
301000
307900
298800
310300
293900
305000
311300
317300
296200
306800
291800
301900
314600
321500
329400
311700
309700
306500
307100
301300
292200
310100
316800
284400
284600
301200
287600
314300
298200
299400
301900
265500
287100
274000
290100
263100
245200
258600
259800
269800
274600
274800
271100
257800
290300
262200
270000
290600




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77306&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77306&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77306&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'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.469466513979295
beta0.144645237637946
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.469466513979295 \tabularnewline
beta & 0.144645237637946 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77306&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]0.469466513979295[/C][/ROW]
[ROW][C]beta[/C][C]0.144645237637946[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77306&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77306&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
alpha0.469466513979295
beta0.144645237637946
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3189300199900-10600
4192200202703.850339757-10503.8503397570
5187900204839.564261275-16939.5642612747
6193900202803.626335014-8903.62633501447
7189100203935.681673547-14835.6816735474
8193100201275.402455368-8175.40245536788
9194800201186.741644174-6386.74164417389
10200200201504.098500822-1304.09850082250
11211500204119.0298784727380.970121528
12202100211312.523007717-9212.52300771713
13200300210090.340295885-9790.34029588458
14199200207932.067933169-8732.06793316864
15204900205677.658368631-777.658368631004
16207300207104.769989691195.230010308791
172e+05209001.877434223-9001.87743422337
18197700205969.968559552-8269.96855955201
19202200202720.085118221-520.085118221497
20200200203073.195490144-2873.19549014387
21208300202126.4918514726173.50814852817
22215100205846.1314668179253.86853318344
23210700211640.291213897-940.291213896795
24208100212584.782816620-4484.78281661961
25209000211560.710212642-2560.71021264163
26211000211266.037434506-266.037434506172
27210200212030.571122817-1830.57112281691
28205500211936.301697029-6436.30169702874
29211400209242.7318766762157.26812332356
30211700210730.046977676969.95302232419
31209300211725.823119757-2425.82311975677
32207500210962.667897779-3462.66789777894
33203300209477.612515452-6177.61251545162
34207100206298.484002521801.515997479146
35206900206450.250445021449.749554979178
36228700206467.41505824722232.5849417532
37226900218220.6195008558679.38049914513
38226500224200.4311414042299.56885859565
39227100227341.289593690-241.28959368958
40228100229272.915051679-1172.91505167884
41226500230687.525472085-4187.52547208508
42225200230402.518742895-5202.51874289528
43217800229287.723926667-11487.7239266667
44221300224442.149265384-3142.14926538398
45215300223301.171359468-8001.17135946755
46231300219335.71698342511964.2830165752
47227100225555.822618161544.17738184004
48237800226988.89664198610811.1033580144
49230200233506.621915997-3306.62191599744
50233400233172.008136766227.991863234492
51231100234512.259203966-3412.25920396566
52237200233911.8210933393288.17890666079
53243700236680.3016954267019.69830457433
54239700241677.286004391-1977.28600439106
55248400242316.2176812996083.78231870066
56241000247152.676905797-6152.67690579701
57254500245826.7240093128673.27599068786
58242800252050.027843088-9250.0278430884
59268300249230.80743314719069.1925668532
60253900261001.427118797-7101.4271187972
61262100260003.5870239912096.41297600884
62264100263466.184074342633.815925657982
63261000266285.180750871-5285.18075087119
64269300265966.510702733333.48929726979
65260400269920.381879722-9520.38187972165
66263200267193.299003204-3993.29900320445
67279200266789.82711381812410.1728861817
68272200274929.962374402-2729.96237440204
69269200275776.930027378-6576.9300273782
70289600274371.26154853215228.7384514681
71283200284236.748402727-1036.74840272655
72284300286395.732309285-2095.73230928456
73283000287915.245734581-4915.24573458085
74289100287777.3168748371322.68312516279
75289600290657.704977912-1057.70497791219
76289100292348.755961102-3248.7559611015
77287400292790.571544784-5390.57154478412
78279600291860.823766810-12260.8237668098
79289300286873.1379586602426.86204134038
80295000288945.6275307756054.37246922497
81299600293132.2405728456467.7594271549
82293600297952.125238165-4352.12523816549
83294400297396.900536047-2996.90053604660
84290200297274.400636552-7074.40063655243
85301000294757.2560540516242.7439459489
86307900298915.9852812918984.01471870928
87298800304971.718703352-6171.71870335226
88310300303493.2454694286806.75453057158
89293900308569.950944454-14669.9509444539
90305000302567.8832788732432.11672112654
91311300304759.8192523686540.18074763153
92317300309324.471861887975.52813812008
93296200315104.558982385-18904.5589823847
94306800306981.610519747-181.610519746842
95291800307636.126941984-15836.1269419839
96301900299866.0025633242033.997436676
97314600300623.42400522613976.5759947739
98321500307936.58087467313563.4191253268
99329400315976.81326302113423.1867369785
100311700324862.727441040-13162.7274410397
101309700320373.615742594-10673.6157425942
102306500316328.255066415-9828.2550664153
103307100312012.364493019-4912.36449301912
104301300309670.740437935-8370.74043793522
105292200305137.100384565-12937.1003845652
106310100297581.19927155912518.8007284414
107316800302826.09419180713973.9058081926
108284400309703.025603326-25303.0256033264
109284600296422.523272784-11822.5232727844
110301200288667.84398390412532.1560160962
111287600293197.880862827-5597.88086282689
112314300288836.34229754325463.6577024575
113298200300786.293532488-2586.29353248753
114299400299392.1068483237.89315167651512
115301900299216.3399364972683.66006350319
116265500300478.992865488-34978.9928654882
117287100281685.004587465414.99541253992
118274000282222.352367533-8222.35236753296
119290100275799.07418045214300.9258195483
120263100280920.840921366-17820.8409213655
121245200269752.370082469-24552.3700824693
122258600253756.4161275384843.58387246166
123259800251889.7870698227910.21293017824
124269800251999.98933998417800.0106600162
125274600257961.84969771416638.1503022856
126274800264508.08734656810291.9126534319
127271100268773.8625328212326.13746717875
128257800269457.931924182-11657.9319241816
129290300262785.30436882127514.6956311793
130262200276371.329263852-14171.3292638522
131270000269424.841731724575.158268276486
132290600269440.39304702321159.6069529773

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 189300 & 199900 & -10600 \tabularnewline
4 & 192200 & 202703.850339757 & -10503.8503397570 \tabularnewline
5 & 187900 & 204839.564261275 & -16939.5642612747 \tabularnewline
6 & 193900 & 202803.626335014 & -8903.62633501447 \tabularnewline
7 & 189100 & 203935.681673547 & -14835.6816735474 \tabularnewline
8 & 193100 & 201275.402455368 & -8175.40245536788 \tabularnewline
9 & 194800 & 201186.741644174 & -6386.74164417389 \tabularnewline
10 & 200200 & 201504.098500822 & -1304.09850082250 \tabularnewline
11 & 211500 & 204119.029878472 & 7380.970121528 \tabularnewline
12 & 202100 & 211312.523007717 & -9212.52300771713 \tabularnewline
13 & 200300 & 210090.340295885 & -9790.34029588458 \tabularnewline
14 & 199200 & 207932.067933169 & -8732.06793316864 \tabularnewline
15 & 204900 & 205677.658368631 & -777.658368631004 \tabularnewline
16 & 207300 & 207104.769989691 & 195.230010308791 \tabularnewline
17 & 2e+05 & 209001.877434223 & -9001.87743422337 \tabularnewline
18 & 197700 & 205969.968559552 & -8269.96855955201 \tabularnewline
19 & 202200 & 202720.085118221 & -520.085118221497 \tabularnewline
20 & 200200 & 203073.195490144 & -2873.19549014387 \tabularnewline
21 & 208300 & 202126.491851472 & 6173.50814852817 \tabularnewline
22 & 215100 & 205846.131466817 & 9253.86853318344 \tabularnewline
23 & 210700 & 211640.291213897 & -940.291213896795 \tabularnewline
24 & 208100 & 212584.782816620 & -4484.78281661961 \tabularnewline
25 & 209000 & 211560.710212642 & -2560.71021264163 \tabularnewline
26 & 211000 & 211266.037434506 & -266.037434506172 \tabularnewline
27 & 210200 & 212030.571122817 & -1830.57112281691 \tabularnewline
28 & 205500 & 211936.301697029 & -6436.30169702874 \tabularnewline
29 & 211400 & 209242.731876676 & 2157.26812332356 \tabularnewline
30 & 211700 & 210730.046977676 & 969.95302232419 \tabularnewline
31 & 209300 & 211725.823119757 & -2425.82311975677 \tabularnewline
32 & 207500 & 210962.667897779 & -3462.66789777894 \tabularnewline
33 & 203300 & 209477.612515452 & -6177.61251545162 \tabularnewline
34 & 207100 & 206298.484002521 & 801.515997479146 \tabularnewline
35 & 206900 & 206450.250445021 & 449.749554979178 \tabularnewline
36 & 228700 & 206467.415058247 & 22232.5849417532 \tabularnewline
37 & 226900 & 218220.619500855 & 8679.38049914513 \tabularnewline
38 & 226500 & 224200.431141404 & 2299.56885859565 \tabularnewline
39 & 227100 & 227341.289593690 & -241.28959368958 \tabularnewline
40 & 228100 & 229272.915051679 & -1172.91505167884 \tabularnewline
41 & 226500 & 230687.525472085 & -4187.52547208508 \tabularnewline
42 & 225200 & 230402.518742895 & -5202.51874289528 \tabularnewline
43 & 217800 & 229287.723926667 & -11487.7239266667 \tabularnewline
44 & 221300 & 224442.149265384 & -3142.14926538398 \tabularnewline
45 & 215300 & 223301.171359468 & -8001.17135946755 \tabularnewline
46 & 231300 & 219335.716983425 & 11964.2830165752 \tabularnewline
47 & 227100 & 225555.82261816 & 1544.17738184004 \tabularnewline
48 & 237800 & 226988.896641986 & 10811.1033580144 \tabularnewline
49 & 230200 & 233506.621915997 & -3306.62191599744 \tabularnewline
50 & 233400 & 233172.008136766 & 227.991863234492 \tabularnewline
51 & 231100 & 234512.259203966 & -3412.25920396566 \tabularnewline
52 & 237200 & 233911.821093339 & 3288.17890666079 \tabularnewline
53 & 243700 & 236680.301695426 & 7019.69830457433 \tabularnewline
54 & 239700 & 241677.286004391 & -1977.28600439106 \tabularnewline
55 & 248400 & 242316.217681299 & 6083.78231870066 \tabularnewline
56 & 241000 & 247152.676905797 & -6152.67690579701 \tabularnewline
57 & 254500 & 245826.724009312 & 8673.27599068786 \tabularnewline
58 & 242800 & 252050.027843088 & -9250.0278430884 \tabularnewline
59 & 268300 & 249230.807433147 & 19069.1925668532 \tabularnewline
60 & 253900 & 261001.427118797 & -7101.4271187972 \tabularnewline
61 & 262100 & 260003.587023991 & 2096.41297600884 \tabularnewline
62 & 264100 & 263466.184074342 & 633.815925657982 \tabularnewline
63 & 261000 & 266285.180750871 & -5285.18075087119 \tabularnewline
64 & 269300 & 265966.51070273 & 3333.48929726979 \tabularnewline
65 & 260400 & 269920.381879722 & -9520.38187972165 \tabularnewline
66 & 263200 & 267193.299003204 & -3993.29900320445 \tabularnewline
67 & 279200 & 266789.827113818 & 12410.1728861817 \tabularnewline
68 & 272200 & 274929.962374402 & -2729.96237440204 \tabularnewline
69 & 269200 & 275776.930027378 & -6576.9300273782 \tabularnewline
70 & 289600 & 274371.261548532 & 15228.7384514681 \tabularnewline
71 & 283200 & 284236.748402727 & -1036.74840272655 \tabularnewline
72 & 284300 & 286395.732309285 & -2095.73230928456 \tabularnewline
73 & 283000 & 287915.245734581 & -4915.24573458085 \tabularnewline
74 & 289100 & 287777.316874837 & 1322.68312516279 \tabularnewline
75 & 289600 & 290657.704977912 & -1057.70497791219 \tabularnewline
76 & 289100 & 292348.755961102 & -3248.7559611015 \tabularnewline
77 & 287400 & 292790.571544784 & -5390.57154478412 \tabularnewline
78 & 279600 & 291860.823766810 & -12260.8237668098 \tabularnewline
79 & 289300 & 286873.137958660 & 2426.86204134038 \tabularnewline
80 & 295000 & 288945.627530775 & 6054.37246922497 \tabularnewline
81 & 299600 & 293132.240572845 & 6467.7594271549 \tabularnewline
82 & 293600 & 297952.125238165 & -4352.12523816549 \tabularnewline
83 & 294400 & 297396.900536047 & -2996.90053604660 \tabularnewline
84 & 290200 & 297274.400636552 & -7074.40063655243 \tabularnewline
85 & 301000 & 294757.256054051 & 6242.7439459489 \tabularnewline
86 & 307900 & 298915.985281291 & 8984.01471870928 \tabularnewline
87 & 298800 & 304971.718703352 & -6171.71870335226 \tabularnewline
88 & 310300 & 303493.245469428 & 6806.75453057158 \tabularnewline
89 & 293900 & 308569.950944454 & -14669.9509444539 \tabularnewline
90 & 305000 & 302567.883278873 & 2432.11672112654 \tabularnewline
91 & 311300 & 304759.819252368 & 6540.18074763153 \tabularnewline
92 & 317300 & 309324.47186188 & 7975.52813812008 \tabularnewline
93 & 296200 & 315104.558982385 & -18904.5589823847 \tabularnewline
94 & 306800 & 306981.610519747 & -181.610519746842 \tabularnewline
95 & 291800 & 307636.126941984 & -15836.1269419839 \tabularnewline
96 & 301900 & 299866.002563324 & 2033.997436676 \tabularnewline
97 & 314600 & 300623.424005226 & 13976.5759947739 \tabularnewline
98 & 321500 & 307936.580874673 & 13563.4191253268 \tabularnewline
99 & 329400 & 315976.813263021 & 13423.1867369785 \tabularnewline
100 & 311700 & 324862.727441040 & -13162.7274410397 \tabularnewline
101 & 309700 & 320373.615742594 & -10673.6157425942 \tabularnewline
102 & 306500 & 316328.255066415 & -9828.2550664153 \tabularnewline
103 & 307100 & 312012.364493019 & -4912.36449301912 \tabularnewline
104 & 301300 & 309670.740437935 & -8370.74043793522 \tabularnewline
105 & 292200 & 305137.100384565 & -12937.1003845652 \tabularnewline
106 & 310100 & 297581.199271559 & 12518.8007284414 \tabularnewline
107 & 316800 & 302826.094191807 & 13973.9058081926 \tabularnewline
108 & 284400 & 309703.025603326 & -25303.0256033264 \tabularnewline
109 & 284600 & 296422.523272784 & -11822.5232727844 \tabularnewline
110 & 301200 & 288667.843983904 & 12532.1560160962 \tabularnewline
111 & 287600 & 293197.880862827 & -5597.88086282689 \tabularnewline
112 & 314300 & 288836.342297543 & 25463.6577024575 \tabularnewline
113 & 298200 & 300786.293532488 & -2586.29353248753 \tabularnewline
114 & 299400 & 299392.106848323 & 7.89315167651512 \tabularnewline
115 & 301900 & 299216.339936497 & 2683.66006350319 \tabularnewline
116 & 265500 & 300478.992865488 & -34978.9928654882 \tabularnewline
117 & 287100 & 281685.00458746 & 5414.99541253992 \tabularnewline
118 & 274000 & 282222.352367533 & -8222.35236753296 \tabularnewline
119 & 290100 & 275799.074180452 & 14300.9258195483 \tabularnewline
120 & 263100 & 280920.840921366 & -17820.8409213655 \tabularnewline
121 & 245200 & 269752.370082469 & -24552.3700824693 \tabularnewline
122 & 258600 & 253756.416127538 & 4843.58387246166 \tabularnewline
123 & 259800 & 251889.787069822 & 7910.21293017824 \tabularnewline
124 & 269800 & 251999.989339984 & 17800.0106600162 \tabularnewline
125 & 274600 & 257961.849697714 & 16638.1503022856 \tabularnewline
126 & 274800 & 264508.087346568 & 10291.9126534319 \tabularnewline
127 & 271100 & 268773.862532821 & 2326.13746717875 \tabularnewline
128 & 257800 & 269457.931924182 & -11657.9319241816 \tabularnewline
129 & 290300 & 262785.304368821 & 27514.6956311793 \tabularnewline
130 & 262200 & 276371.329263852 & -14171.3292638522 \tabularnewline
131 & 270000 & 269424.841731724 & 575.158268276486 \tabularnewline
132 & 290600 & 269440.393047023 & 21159.6069529773 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77306&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]189300[/C][C]199900[/C][C]-10600[/C][/ROW]
[ROW][C]4[/C][C]192200[/C][C]202703.850339757[/C][C]-10503.8503397570[/C][/ROW]
[ROW][C]5[/C][C]187900[/C][C]204839.564261275[/C][C]-16939.5642612747[/C][/ROW]
[ROW][C]6[/C][C]193900[/C][C]202803.626335014[/C][C]-8903.62633501447[/C][/ROW]
[ROW][C]7[/C][C]189100[/C][C]203935.681673547[/C][C]-14835.6816735474[/C][/ROW]
[ROW][C]8[/C][C]193100[/C][C]201275.402455368[/C][C]-8175.40245536788[/C][/ROW]
[ROW][C]9[/C][C]194800[/C][C]201186.741644174[/C][C]-6386.74164417389[/C][/ROW]
[ROW][C]10[/C][C]200200[/C][C]201504.098500822[/C][C]-1304.09850082250[/C][/ROW]
[ROW][C]11[/C][C]211500[/C][C]204119.029878472[/C][C]7380.970121528[/C][/ROW]
[ROW][C]12[/C][C]202100[/C][C]211312.523007717[/C][C]-9212.52300771713[/C][/ROW]
[ROW][C]13[/C][C]200300[/C][C]210090.340295885[/C][C]-9790.34029588458[/C][/ROW]
[ROW][C]14[/C][C]199200[/C][C]207932.067933169[/C][C]-8732.06793316864[/C][/ROW]
[ROW][C]15[/C][C]204900[/C][C]205677.658368631[/C][C]-777.658368631004[/C][/ROW]
[ROW][C]16[/C][C]207300[/C][C]207104.769989691[/C][C]195.230010308791[/C][/ROW]
[ROW][C]17[/C][C]2e+05[/C][C]209001.877434223[/C][C]-9001.87743422337[/C][/ROW]
[ROW][C]18[/C][C]197700[/C][C]205969.968559552[/C][C]-8269.96855955201[/C][/ROW]
[ROW][C]19[/C][C]202200[/C][C]202720.085118221[/C][C]-520.085118221497[/C][/ROW]
[ROW][C]20[/C][C]200200[/C][C]203073.195490144[/C][C]-2873.19549014387[/C][/ROW]
[ROW][C]21[/C][C]208300[/C][C]202126.491851472[/C][C]6173.50814852817[/C][/ROW]
[ROW][C]22[/C][C]215100[/C][C]205846.131466817[/C][C]9253.86853318344[/C][/ROW]
[ROW][C]23[/C][C]210700[/C][C]211640.291213897[/C][C]-940.291213896795[/C][/ROW]
[ROW][C]24[/C][C]208100[/C][C]212584.782816620[/C][C]-4484.78281661961[/C][/ROW]
[ROW][C]25[/C][C]209000[/C][C]211560.710212642[/C][C]-2560.71021264163[/C][/ROW]
[ROW][C]26[/C][C]211000[/C][C]211266.037434506[/C][C]-266.037434506172[/C][/ROW]
[ROW][C]27[/C][C]210200[/C][C]212030.571122817[/C][C]-1830.57112281691[/C][/ROW]
[ROW][C]28[/C][C]205500[/C][C]211936.301697029[/C][C]-6436.30169702874[/C][/ROW]
[ROW][C]29[/C][C]211400[/C][C]209242.731876676[/C][C]2157.26812332356[/C][/ROW]
[ROW][C]30[/C][C]211700[/C][C]210730.046977676[/C][C]969.95302232419[/C][/ROW]
[ROW][C]31[/C][C]209300[/C][C]211725.823119757[/C][C]-2425.82311975677[/C][/ROW]
[ROW][C]32[/C][C]207500[/C][C]210962.667897779[/C][C]-3462.66789777894[/C][/ROW]
[ROW][C]33[/C][C]203300[/C][C]209477.612515452[/C][C]-6177.61251545162[/C][/ROW]
[ROW][C]34[/C][C]207100[/C][C]206298.484002521[/C][C]801.515997479146[/C][/ROW]
[ROW][C]35[/C][C]206900[/C][C]206450.250445021[/C][C]449.749554979178[/C][/ROW]
[ROW][C]36[/C][C]228700[/C][C]206467.415058247[/C][C]22232.5849417532[/C][/ROW]
[ROW][C]37[/C][C]226900[/C][C]218220.619500855[/C][C]8679.38049914513[/C][/ROW]
[ROW][C]38[/C][C]226500[/C][C]224200.431141404[/C][C]2299.56885859565[/C][/ROW]
[ROW][C]39[/C][C]227100[/C][C]227341.289593690[/C][C]-241.28959368958[/C][/ROW]
[ROW][C]40[/C][C]228100[/C][C]229272.915051679[/C][C]-1172.91505167884[/C][/ROW]
[ROW][C]41[/C][C]226500[/C][C]230687.525472085[/C][C]-4187.52547208508[/C][/ROW]
[ROW][C]42[/C][C]225200[/C][C]230402.518742895[/C][C]-5202.51874289528[/C][/ROW]
[ROW][C]43[/C][C]217800[/C][C]229287.723926667[/C][C]-11487.7239266667[/C][/ROW]
[ROW][C]44[/C][C]221300[/C][C]224442.149265384[/C][C]-3142.14926538398[/C][/ROW]
[ROW][C]45[/C][C]215300[/C][C]223301.171359468[/C][C]-8001.17135946755[/C][/ROW]
[ROW][C]46[/C][C]231300[/C][C]219335.716983425[/C][C]11964.2830165752[/C][/ROW]
[ROW][C]47[/C][C]227100[/C][C]225555.82261816[/C][C]1544.17738184004[/C][/ROW]
[ROW][C]48[/C][C]237800[/C][C]226988.896641986[/C][C]10811.1033580144[/C][/ROW]
[ROW][C]49[/C][C]230200[/C][C]233506.621915997[/C][C]-3306.62191599744[/C][/ROW]
[ROW][C]50[/C][C]233400[/C][C]233172.008136766[/C][C]227.991863234492[/C][/ROW]
[ROW][C]51[/C][C]231100[/C][C]234512.259203966[/C][C]-3412.25920396566[/C][/ROW]
[ROW][C]52[/C][C]237200[/C][C]233911.821093339[/C][C]3288.17890666079[/C][/ROW]
[ROW][C]53[/C][C]243700[/C][C]236680.301695426[/C][C]7019.69830457433[/C][/ROW]
[ROW][C]54[/C][C]239700[/C][C]241677.286004391[/C][C]-1977.28600439106[/C][/ROW]
[ROW][C]55[/C][C]248400[/C][C]242316.217681299[/C][C]6083.78231870066[/C][/ROW]
[ROW][C]56[/C][C]241000[/C][C]247152.676905797[/C][C]-6152.67690579701[/C][/ROW]
[ROW][C]57[/C][C]254500[/C][C]245826.724009312[/C][C]8673.27599068786[/C][/ROW]
[ROW][C]58[/C][C]242800[/C][C]252050.027843088[/C][C]-9250.0278430884[/C][/ROW]
[ROW][C]59[/C][C]268300[/C][C]249230.807433147[/C][C]19069.1925668532[/C][/ROW]
[ROW][C]60[/C][C]253900[/C][C]261001.427118797[/C][C]-7101.4271187972[/C][/ROW]
[ROW][C]61[/C][C]262100[/C][C]260003.587023991[/C][C]2096.41297600884[/C][/ROW]
[ROW][C]62[/C][C]264100[/C][C]263466.184074342[/C][C]633.815925657982[/C][/ROW]
[ROW][C]63[/C][C]261000[/C][C]266285.180750871[/C][C]-5285.18075087119[/C][/ROW]
[ROW][C]64[/C][C]269300[/C][C]265966.51070273[/C][C]3333.48929726979[/C][/ROW]
[ROW][C]65[/C][C]260400[/C][C]269920.381879722[/C][C]-9520.38187972165[/C][/ROW]
[ROW][C]66[/C][C]263200[/C][C]267193.299003204[/C][C]-3993.29900320445[/C][/ROW]
[ROW][C]67[/C][C]279200[/C][C]266789.827113818[/C][C]12410.1728861817[/C][/ROW]
[ROW][C]68[/C][C]272200[/C][C]274929.962374402[/C][C]-2729.96237440204[/C][/ROW]
[ROW][C]69[/C][C]269200[/C][C]275776.930027378[/C][C]-6576.9300273782[/C][/ROW]
[ROW][C]70[/C][C]289600[/C][C]274371.261548532[/C][C]15228.7384514681[/C][/ROW]
[ROW][C]71[/C][C]283200[/C][C]284236.748402727[/C][C]-1036.74840272655[/C][/ROW]
[ROW][C]72[/C][C]284300[/C][C]286395.732309285[/C][C]-2095.73230928456[/C][/ROW]
[ROW][C]73[/C][C]283000[/C][C]287915.245734581[/C][C]-4915.24573458085[/C][/ROW]
[ROW][C]74[/C][C]289100[/C][C]287777.316874837[/C][C]1322.68312516279[/C][/ROW]
[ROW][C]75[/C][C]289600[/C][C]290657.704977912[/C][C]-1057.70497791219[/C][/ROW]
[ROW][C]76[/C][C]289100[/C][C]292348.755961102[/C][C]-3248.7559611015[/C][/ROW]
[ROW][C]77[/C][C]287400[/C][C]292790.571544784[/C][C]-5390.57154478412[/C][/ROW]
[ROW][C]78[/C][C]279600[/C][C]291860.823766810[/C][C]-12260.8237668098[/C][/ROW]
[ROW][C]79[/C][C]289300[/C][C]286873.137958660[/C][C]2426.86204134038[/C][/ROW]
[ROW][C]80[/C][C]295000[/C][C]288945.627530775[/C][C]6054.37246922497[/C][/ROW]
[ROW][C]81[/C][C]299600[/C][C]293132.240572845[/C][C]6467.7594271549[/C][/ROW]
[ROW][C]82[/C][C]293600[/C][C]297952.125238165[/C][C]-4352.12523816549[/C][/ROW]
[ROW][C]83[/C][C]294400[/C][C]297396.900536047[/C][C]-2996.90053604660[/C][/ROW]
[ROW][C]84[/C][C]290200[/C][C]297274.400636552[/C][C]-7074.40063655243[/C][/ROW]
[ROW][C]85[/C][C]301000[/C][C]294757.256054051[/C][C]6242.7439459489[/C][/ROW]
[ROW][C]86[/C][C]307900[/C][C]298915.985281291[/C][C]8984.01471870928[/C][/ROW]
[ROW][C]87[/C][C]298800[/C][C]304971.718703352[/C][C]-6171.71870335226[/C][/ROW]
[ROW][C]88[/C][C]310300[/C][C]303493.245469428[/C][C]6806.75453057158[/C][/ROW]
[ROW][C]89[/C][C]293900[/C][C]308569.950944454[/C][C]-14669.9509444539[/C][/ROW]
[ROW][C]90[/C][C]305000[/C][C]302567.883278873[/C][C]2432.11672112654[/C][/ROW]
[ROW][C]91[/C][C]311300[/C][C]304759.819252368[/C][C]6540.18074763153[/C][/ROW]
[ROW][C]92[/C][C]317300[/C][C]309324.47186188[/C][C]7975.52813812008[/C][/ROW]
[ROW][C]93[/C][C]296200[/C][C]315104.558982385[/C][C]-18904.5589823847[/C][/ROW]
[ROW][C]94[/C][C]306800[/C][C]306981.610519747[/C][C]-181.610519746842[/C][/ROW]
[ROW][C]95[/C][C]291800[/C][C]307636.126941984[/C][C]-15836.1269419839[/C][/ROW]
[ROW][C]96[/C][C]301900[/C][C]299866.002563324[/C][C]2033.997436676[/C][/ROW]
[ROW][C]97[/C][C]314600[/C][C]300623.424005226[/C][C]13976.5759947739[/C][/ROW]
[ROW][C]98[/C][C]321500[/C][C]307936.580874673[/C][C]13563.4191253268[/C][/ROW]
[ROW][C]99[/C][C]329400[/C][C]315976.813263021[/C][C]13423.1867369785[/C][/ROW]
[ROW][C]100[/C][C]311700[/C][C]324862.727441040[/C][C]-13162.7274410397[/C][/ROW]
[ROW][C]101[/C][C]309700[/C][C]320373.615742594[/C][C]-10673.6157425942[/C][/ROW]
[ROW][C]102[/C][C]306500[/C][C]316328.255066415[/C][C]-9828.2550664153[/C][/ROW]
[ROW][C]103[/C][C]307100[/C][C]312012.364493019[/C][C]-4912.36449301912[/C][/ROW]
[ROW][C]104[/C][C]301300[/C][C]309670.740437935[/C][C]-8370.74043793522[/C][/ROW]
[ROW][C]105[/C][C]292200[/C][C]305137.100384565[/C][C]-12937.1003845652[/C][/ROW]
[ROW][C]106[/C][C]310100[/C][C]297581.199271559[/C][C]12518.8007284414[/C][/ROW]
[ROW][C]107[/C][C]316800[/C][C]302826.094191807[/C][C]13973.9058081926[/C][/ROW]
[ROW][C]108[/C][C]284400[/C][C]309703.025603326[/C][C]-25303.0256033264[/C][/ROW]
[ROW][C]109[/C][C]284600[/C][C]296422.523272784[/C][C]-11822.5232727844[/C][/ROW]
[ROW][C]110[/C][C]301200[/C][C]288667.843983904[/C][C]12532.1560160962[/C][/ROW]
[ROW][C]111[/C][C]287600[/C][C]293197.880862827[/C][C]-5597.88086282689[/C][/ROW]
[ROW][C]112[/C][C]314300[/C][C]288836.342297543[/C][C]25463.6577024575[/C][/ROW]
[ROW][C]113[/C][C]298200[/C][C]300786.293532488[/C][C]-2586.29353248753[/C][/ROW]
[ROW][C]114[/C][C]299400[/C][C]299392.106848323[/C][C]7.89315167651512[/C][/ROW]
[ROW][C]115[/C][C]301900[/C][C]299216.339936497[/C][C]2683.66006350319[/C][/ROW]
[ROW][C]116[/C][C]265500[/C][C]300478.992865488[/C][C]-34978.9928654882[/C][/ROW]
[ROW][C]117[/C][C]287100[/C][C]281685.00458746[/C][C]5414.99541253992[/C][/ROW]
[ROW][C]118[/C][C]274000[/C][C]282222.352367533[/C][C]-8222.35236753296[/C][/ROW]
[ROW][C]119[/C][C]290100[/C][C]275799.074180452[/C][C]14300.9258195483[/C][/ROW]
[ROW][C]120[/C][C]263100[/C][C]280920.840921366[/C][C]-17820.8409213655[/C][/ROW]
[ROW][C]121[/C][C]245200[/C][C]269752.370082469[/C][C]-24552.3700824693[/C][/ROW]
[ROW][C]122[/C][C]258600[/C][C]253756.416127538[/C][C]4843.58387246166[/C][/ROW]
[ROW][C]123[/C][C]259800[/C][C]251889.787069822[/C][C]7910.21293017824[/C][/ROW]
[ROW][C]124[/C][C]269800[/C][C]251999.989339984[/C][C]17800.0106600162[/C][/ROW]
[ROW][C]125[/C][C]274600[/C][C]257961.849697714[/C][C]16638.1503022856[/C][/ROW]
[ROW][C]126[/C][C]274800[/C][C]264508.087346568[/C][C]10291.9126534319[/C][/ROW]
[ROW][C]127[/C][C]271100[/C][C]268773.862532821[/C][C]2326.13746717875[/C][/ROW]
[ROW][C]128[/C][C]257800[/C][C]269457.931924182[/C][C]-11657.9319241816[/C][/ROW]
[ROW][C]129[/C][C]290300[/C][C]262785.304368821[/C][C]27514.6956311793[/C][/ROW]
[ROW][C]130[/C][C]262200[/C][C]276371.329263852[/C][C]-14171.3292638522[/C][/ROW]
[ROW][C]131[/C][C]270000[/C][C]269424.841731724[/C][C]575.158268276486[/C][/ROW]
[ROW][C]132[/C][C]290600[/C][C]269440.393047023[/C][C]21159.6069529773[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77306&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77306&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
3189300199900-10600
4192200202703.850339757-10503.8503397570
5187900204839.564261275-16939.5642612747
6193900202803.626335014-8903.62633501447
7189100203935.681673547-14835.6816735474
8193100201275.402455368-8175.40245536788
9194800201186.741644174-6386.74164417389
10200200201504.098500822-1304.09850082250
11211500204119.0298784727380.970121528
12202100211312.523007717-9212.52300771713
13200300210090.340295885-9790.34029588458
14199200207932.067933169-8732.06793316864
15204900205677.658368631-777.658368631004
16207300207104.769989691195.230010308791
172e+05209001.877434223-9001.87743422337
18197700205969.968559552-8269.96855955201
19202200202720.085118221-520.085118221497
20200200203073.195490144-2873.19549014387
21208300202126.4918514726173.50814852817
22215100205846.1314668179253.86853318344
23210700211640.291213897-940.291213896795
24208100212584.782816620-4484.78281661961
25209000211560.710212642-2560.71021264163
26211000211266.037434506-266.037434506172
27210200212030.571122817-1830.57112281691
28205500211936.301697029-6436.30169702874
29211400209242.7318766762157.26812332356
30211700210730.046977676969.95302232419
31209300211725.823119757-2425.82311975677
32207500210962.667897779-3462.66789777894
33203300209477.612515452-6177.61251545162
34207100206298.484002521801.515997479146
35206900206450.250445021449.749554979178
36228700206467.41505824722232.5849417532
37226900218220.6195008558679.38049914513
38226500224200.4311414042299.56885859565
39227100227341.289593690-241.28959368958
40228100229272.915051679-1172.91505167884
41226500230687.525472085-4187.52547208508
42225200230402.518742895-5202.51874289528
43217800229287.723926667-11487.7239266667
44221300224442.149265384-3142.14926538398
45215300223301.171359468-8001.17135946755
46231300219335.71698342511964.2830165752
47227100225555.822618161544.17738184004
48237800226988.89664198610811.1033580144
49230200233506.621915997-3306.62191599744
50233400233172.008136766227.991863234492
51231100234512.259203966-3412.25920396566
52237200233911.8210933393288.17890666079
53243700236680.3016954267019.69830457433
54239700241677.286004391-1977.28600439106
55248400242316.2176812996083.78231870066
56241000247152.676905797-6152.67690579701
57254500245826.7240093128673.27599068786
58242800252050.027843088-9250.0278430884
59268300249230.80743314719069.1925668532
60253900261001.427118797-7101.4271187972
61262100260003.5870239912096.41297600884
62264100263466.184074342633.815925657982
63261000266285.180750871-5285.18075087119
64269300265966.510702733333.48929726979
65260400269920.381879722-9520.38187972165
66263200267193.299003204-3993.29900320445
67279200266789.82711381812410.1728861817
68272200274929.962374402-2729.96237440204
69269200275776.930027378-6576.9300273782
70289600274371.26154853215228.7384514681
71283200284236.748402727-1036.74840272655
72284300286395.732309285-2095.73230928456
73283000287915.245734581-4915.24573458085
74289100287777.3168748371322.68312516279
75289600290657.704977912-1057.70497791219
76289100292348.755961102-3248.7559611015
77287400292790.571544784-5390.57154478412
78279600291860.823766810-12260.8237668098
79289300286873.1379586602426.86204134038
80295000288945.6275307756054.37246922497
81299600293132.2405728456467.7594271549
82293600297952.125238165-4352.12523816549
83294400297396.900536047-2996.90053604660
84290200297274.400636552-7074.40063655243
85301000294757.2560540516242.7439459489
86307900298915.9852812918984.01471870928
87298800304971.718703352-6171.71870335226
88310300303493.2454694286806.75453057158
89293900308569.950944454-14669.9509444539
90305000302567.8832788732432.11672112654
91311300304759.8192523686540.18074763153
92317300309324.471861887975.52813812008
93296200315104.558982385-18904.5589823847
94306800306981.610519747-181.610519746842
95291800307636.126941984-15836.1269419839
96301900299866.0025633242033.997436676
97314600300623.42400522613976.5759947739
98321500307936.58087467313563.4191253268
99329400315976.81326302113423.1867369785
100311700324862.727441040-13162.7274410397
101309700320373.615742594-10673.6157425942
102306500316328.255066415-9828.2550664153
103307100312012.364493019-4912.36449301912
104301300309670.740437935-8370.74043793522
105292200305137.100384565-12937.1003845652
106310100297581.19927155912518.8007284414
107316800302826.09419180713973.9058081926
108284400309703.025603326-25303.0256033264
109284600296422.523272784-11822.5232727844
110301200288667.84398390412532.1560160962
111287600293197.880862827-5597.88086282689
112314300288836.34229754325463.6577024575
113298200300786.293532488-2586.29353248753
114299400299392.1068483237.89315167651512
115301900299216.3399364972683.66006350319
116265500300478.992865488-34978.9928654882
117287100281685.004587465414.99541253992
118274000282222.352367533-8222.35236753296
119290100275799.07418045214300.9258195483
120263100280920.840921366-17820.8409213655
121245200269752.370082469-24552.3700824693
122258600253756.4161275384843.58387246166
123259800251889.7870698227910.21293017824
124269800251999.98933998417800.0106600162
125274600257961.84969771416638.1503022856
126274800264508.08734656810291.9126534319
127271100268773.8625328212326.13746717875
128257800269457.931924182-11657.9319241816
129290300262785.30436882127514.6956311793
130262200276371.329263852-14171.3292638522
131270000269424.841731724575.158268276486
132290600269440.39304702321159.6069529773







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
133280556.520018531260532.393989006300580.646048056
134281738.920076654259006.735971873304471.104181435
135282921.320134776257159.897689650308682.742579902
136284103.720192898255028.651911064313178.788474733
137285286.120251021252642.955308814317929.285193228
138286468.520309143250026.804547836322910.23607045
139287650.920367265247199.408877287328102.431857244
140288833.320425388244176.265935517333490.374915258
141290015.72048351240970.030102301339061.410864719
142291198.120541632237591.177285395344805.063797870
143292380.520599755234048.503042373350712.538157136
144293562.920657877230349.493589252356776.347726502

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 280556.520018531 & 260532.393989006 & 300580.646048056 \tabularnewline
134 & 281738.920076654 & 259006.735971873 & 304471.104181435 \tabularnewline
135 & 282921.320134776 & 257159.897689650 & 308682.742579902 \tabularnewline
136 & 284103.720192898 & 255028.651911064 & 313178.788474733 \tabularnewline
137 & 285286.120251021 & 252642.955308814 & 317929.285193228 \tabularnewline
138 & 286468.520309143 & 250026.804547836 & 322910.23607045 \tabularnewline
139 & 287650.920367265 & 247199.408877287 & 328102.431857244 \tabularnewline
140 & 288833.320425388 & 244176.265935517 & 333490.374915258 \tabularnewline
141 & 290015.72048351 & 240970.030102301 & 339061.410864719 \tabularnewline
142 & 291198.120541632 & 237591.177285395 & 344805.063797870 \tabularnewline
143 & 292380.520599755 & 234048.503042373 & 350712.538157136 \tabularnewline
144 & 293562.920657877 & 230349.493589252 & 356776.347726502 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77306&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]280556.520018531[/C][C]260532.393989006[/C][C]300580.646048056[/C][/ROW]
[ROW][C]134[/C][C]281738.920076654[/C][C]259006.735971873[/C][C]304471.104181435[/C][/ROW]
[ROW][C]135[/C][C]282921.320134776[/C][C]257159.897689650[/C][C]308682.742579902[/C][/ROW]
[ROW][C]136[/C][C]284103.720192898[/C][C]255028.651911064[/C][C]313178.788474733[/C][/ROW]
[ROW][C]137[/C][C]285286.120251021[/C][C]252642.955308814[/C][C]317929.285193228[/C][/ROW]
[ROW][C]138[/C][C]286468.520309143[/C][C]250026.804547836[/C][C]322910.23607045[/C][/ROW]
[ROW][C]139[/C][C]287650.920367265[/C][C]247199.408877287[/C][C]328102.431857244[/C][/ROW]
[ROW][C]140[/C][C]288833.320425388[/C][C]244176.265935517[/C][C]333490.374915258[/C][/ROW]
[ROW][C]141[/C][C]290015.72048351[/C][C]240970.030102301[/C][C]339061.410864719[/C][/ROW]
[ROW][C]142[/C][C]291198.120541632[/C][C]237591.177285395[/C][C]344805.063797870[/C][/ROW]
[ROW][C]143[/C][C]292380.520599755[/C][C]234048.503042373[/C][C]350712.538157136[/C][/ROW]
[ROW][C]144[/C][C]293562.920657877[/C][C]230349.493589252[/C][C]356776.347726502[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77306&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77306&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
133280556.520018531260532.393989006300580.646048056
134281738.920076654259006.735971873304471.104181435
135282921.320134776257159.897689650308682.742579902
136284103.720192898255028.651911064313178.788474733
137285286.120251021252642.955308814317929.285193228
138286468.520309143250026.804547836322910.23607045
139287650.920367265247199.408877287328102.431857244
140288833.320425388244176.265935517333490.374915258
141290015.72048351240970.030102301339061.410864719
142291198.120541632237591.177285395344805.063797870
143292380.520599755234048.503042373350712.538157136
144293562.920657877230349.493589252356776.347726502



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')