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 09:07:40 +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/t1275469744h7yb2d6cxt1s6se.htm/, Retrieved Mon, 29 Apr 2024 06:06:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76987, Retrieved Mon, 29 Apr 2024 06:06:02 +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] [Triple exponentia...] [2010-06-02 09:07:40] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
178600
181600
178500
176700
183500
175900
179800
186500
182700
182800
178600
183300
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
265000
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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76987&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76987&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' @ 72.249.76.132







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.458431564192018
beta0
gamma0.181610953212879

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.458431564192018 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.181610953212879 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76987&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]0.458431564192018[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.181610953212879[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76987&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
alpha0.458431564192018
beta0
gamma0.181610953212879







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13182900176965.1555798805934.84442012027
14191400188445.3497983122954.65020168756
15189300187997.3065106011302.69348939907
16192200191306.444594224893.555405775842
17187900186404.0328902781495.96710972194
18193900191965.688018621934.31198137999
19189100192094.375243636-2994.37524363567
20193100198267.566327154-5167.56632715376
21194800192056.0887287082743.91127129228
22200200193310.9594464646889.04055353641
23211500192109.28448992919390.7155100714
24202100206287.940775720-4187.9407757204
25200300204369.896168068-4069.89616806776
26199200211879.599998405-12679.5999984053
27204900203847.1998726691052.80012733137
28207300207133.913531152166.086468847760
292e+05201451.743538031-1451.74353803066
30197700205983.873525062-8283.87352506205
31202200200833.0027570671366.99724293308
32200200209147.760854121-8947.76085412118
33208300201776.1027962206523.89720377969
34215100205122.7140658939977.28593410732
35210700206211.9877783464488.01222165412
36208100211286.821834192-3186.82183419238
37209000209806.216977001-806.216977001139
38211000218199.445553946-7199.44555394645
39210200213934.779083474-3734.77908347431
40205500215002.296545961-9502.29654596126
41211400204613.5359893146786.46401068577
42211700212357.148924390-657.148924390378
43209300211574.596376989-2274.59637698889
44207500217435.390967366-9935.39096736582
45203300211003.170770206-7703.17077020579
46207100208142.069715966-1042.06971596589
47206900203707.8275827743192.1724172261
48228700207410.80314461821289.1968553815
49226900217354.8996349159545.10036508532
50265000230270.86912400734729.1308759932
51227100245313.692234208-18213.6922342077
52228100239290.855097122-11190.8550971222
53226500229081.595426891-2581.59542689088
54225200232065.152869932-6865.152869932
55217800228142.047851911-10342.0478519109
56221300229845.229287021-8545.22928702127
57215300224076.663401462-8776.6634014617
58231300221395.8098438619904.19015613873
59227100221989.0072319995110.99276800075
60237800228521.5648345219278.43516547879
61230200231661.132096924-1461.13209692389
62233400242150.644114789-8750.64411478877
63231100232321.415878742-1221.41587874194
64237200234726.9286337172473.07136628326
65243700231563.77426680412136.2257331958
66239700240975.883431095-1275.88343109511
67248400239135.6663569389264.33364306192
68241000250512.630073953-9512.63007395333
69254500243987.00081699510512.9991830052
70242800252250.820802007-9450.82080200658
71268300242989.10389933925310.8961006614
72253900259642.715979594-5742.71597959386
73262100254519.4192343197580.5807656812
74264100269522.054232833-5422.05423283263
75261000261190.57480932-190.574809320009
76269300264719.2761642654580.72383573541
77260400262870.43460679-2470.43460678984
78263200264412.595223461-1212.59522346064
79279200263496.92099156115703.0790084389
80272200276416.950694722-4216.95069472247
81269200274117.190944808-4917.19094480819
82289600273363.62058062016236.3794193803
83283200278818.0080156294381.99198437115
84284300282904.1506268151395.84937318455
85283000282118.236810350881.763189650315
86289100293608.791797489-4508.79179748870
87289600285611.0082003843988.99179961625
88289100291826.345180788-2726.34518078784
89287400285437.6091760441962.39082395629
90279600289301.819961965-9701.81996196514
91289300286134.3639940553165.63600594504
92295000291496.968991983503.03100801975
93299600292559.8532775547040.14672244573
94293600299548.963460424-5948.96346042375
95294400293449.270544507950.729455492808
96290200295701.405161618-5501.40516161849
97301000291618.6658334939381.33416650724
98307900306918.809861528981.190138471895
99298800301927.448016464-3127.4480164643
100310300304335.9441961785964.055803822
101293900302061.557556553-8161.5575565531
102305000300153.7643761674846.23562383285
103311300305016.9568939826283.04310601793
104317300312040.3303814875259.66961851279
105296200314158.891597974-17958.8915979736
106306800308449.967021670-1649.96702166955
107291800304854.911626939-13054.9116269391
108301900300049.3414128191850.65858718136
109314600300754.87055926713845.1294407328
110321500317589.5162172383910.48378276231
111329400313268.15159515516131.8484048450
112311700325644.926006498-13944.9260064982
113309700312563.644983304-2863.64498330437
114306500314455.793152962-7955.79315296229
115307100313631.033810826-6531.03381082579
116301300314695.890035702-13395.8900357022
117292200306005.737167801-13805.7371678005
118310100303759.1777990106340.82220099046
119316800302694.05509109814105.9449089023
120284400311867.546794029-27467.5467940287
121284600300284.482903393-15684.4829033932
122301200302182.366317398-982.366317397682
123287600297122.015972044-9522.01597204432
124314300294666.78774632519633.2122536746
125298200298364.205412652-164.205412652169
126299400300916.429426254-1516.42942625372
127301900303117.26724659-1217.26724659029
128265500305861.502323839-40361.5023238392
129287100284977.3679734022122.63202659832
130274000291801.285710803-17801.2857108031
131290100280733.0131062389366.98689376237
132263100283739.576001709-20639.5760017087
133245200276325.894226481-31125.8942264812
134258600271633.909418633-13033.9094186330
135259800260972.012121791-1172.0121217907
136269800264761.8802517375038.11974826292
137274600260865.93351603513734.0664839647
138274800269504.6694433125295.33055668755
139271100274681.365786238-3581.36578623787
140257800272415.507552164-14615.5075521643
141290300267465.02016579722834.9798342034
142262200281694.041620673-19494.0416206730
143270000272550.080019718-2550.08001971780
144290600267344.13809180223255.861908198

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 182900 & 176965.155579880 & 5934.84442012027 \tabularnewline
14 & 191400 & 188445.349798312 & 2954.65020168756 \tabularnewline
15 & 189300 & 187997.306510601 & 1302.69348939907 \tabularnewline
16 & 192200 & 191306.444594224 & 893.555405775842 \tabularnewline
17 & 187900 & 186404.032890278 & 1495.96710972194 \tabularnewline
18 & 193900 & 191965.68801862 & 1934.31198137999 \tabularnewline
19 & 189100 & 192094.375243636 & -2994.37524363567 \tabularnewline
20 & 193100 & 198267.566327154 & -5167.56632715376 \tabularnewline
21 & 194800 & 192056.088728708 & 2743.91127129228 \tabularnewline
22 & 200200 & 193310.959446464 & 6889.04055353641 \tabularnewline
23 & 211500 & 192109.284489929 & 19390.7155100714 \tabularnewline
24 & 202100 & 206287.940775720 & -4187.9407757204 \tabularnewline
25 & 200300 & 204369.896168068 & -4069.89616806776 \tabularnewline
26 & 199200 & 211879.599998405 & -12679.5999984053 \tabularnewline
27 & 204900 & 203847.199872669 & 1052.80012733137 \tabularnewline
28 & 207300 & 207133.913531152 & 166.086468847760 \tabularnewline
29 & 2e+05 & 201451.743538031 & -1451.74353803066 \tabularnewline
30 & 197700 & 205983.873525062 & -8283.87352506205 \tabularnewline
31 & 202200 & 200833.002757067 & 1366.99724293308 \tabularnewline
32 & 200200 & 209147.760854121 & -8947.76085412118 \tabularnewline
33 & 208300 & 201776.102796220 & 6523.89720377969 \tabularnewline
34 & 215100 & 205122.714065893 & 9977.28593410732 \tabularnewline
35 & 210700 & 206211.987778346 & 4488.01222165412 \tabularnewline
36 & 208100 & 211286.821834192 & -3186.82183419238 \tabularnewline
37 & 209000 & 209806.216977001 & -806.216977001139 \tabularnewline
38 & 211000 & 218199.445553946 & -7199.44555394645 \tabularnewline
39 & 210200 & 213934.779083474 & -3734.77908347431 \tabularnewline
40 & 205500 & 215002.296545961 & -9502.29654596126 \tabularnewline
41 & 211400 & 204613.535989314 & 6786.46401068577 \tabularnewline
42 & 211700 & 212357.148924390 & -657.148924390378 \tabularnewline
43 & 209300 & 211574.596376989 & -2274.59637698889 \tabularnewline
44 & 207500 & 217435.390967366 & -9935.39096736582 \tabularnewline
45 & 203300 & 211003.170770206 & -7703.17077020579 \tabularnewline
46 & 207100 & 208142.069715966 & -1042.06971596589 \tabularnewline
47 & 206900 & 203707.827582774 & 3192.1724172261 \tabularnewline
48 & 228700 & 207410.803144618 & 21289.1968553815 \tabularnewline
49 & 226900 & 217354.899634915 & 9545.10036508532 \tabularnewline
50 & 265000 & 230270.869124007 & 34729.1308759932 \tabularnewline
51 & 227100 & 245313.692234208 & -18213.6922342077 \tabularnewline
52 & 228100 & 239290.855097122 & -11190.8550971222 \tabularnewline
53 & 226500 & 229081.595426891 & -2581.59542689088 \tabularnewline
54 & 225200 & 232065.152869932 & -6865.152869932 \tabularnewline
55 & 217800 & 228142.047851911 & -10342.0478519109 \tabularnewline
56 & 221300 & 229845.229287021 & -8545.22928702127 \tabularnewline
57 & 215300 & 224076.663401462 & -8776.6634014617 \tabularnewline
58 & 231300 & 221395.809843861 & 9904.19015613873 \tabularnewline
59 & 227100 & 221989.007231999 & 5110.99276800075 \tabularnewline
60 & 237800 & 228521.564834521 & 9278.43516547879 \tabularnewline
61 & 230200 & 231661.132096924 & -1461.13209692389 \tabularnewline
62 & 233400 & 242150.644114789 & -8750.64411478877 \tabularnewline
63 & 231100 & 232321.415878742 & -1221.41587874194 \tabularnewline
64 & 237200 & 234726.928633717 & 2473.07136628326 \tabularnewline
65 & 243700 & 231563.774266804 & 12136.2257331958 \tabularnewline
66 & 239700 & 240975.883431095 & -1275.88343109511 \tabularnewline
67 & 248400 & 239135.666356938 & 9264.33364306192 \tabularnewline
68 & 241000 & 250512.630073953 & -9512.63007395333 \tabularnewline
69 & 254500 & 243987.000816995 & 10512.9991830052 \tabularnewline
70 & 242800 & 252250.820802007 & -9450.82080200658 \tabularnewline
71 & 268300 & 242989.103899339 & 25310.8961006614 \tabularnewline
72 & 253900 & 259642.715979594 & -5742.71597959386 \tabularnewline
73 & 262100 & 254519.419234319 & 7580.5807656812 \tabularnewline
74 & 264100 & 269522.054232833 & -5422.05423283263 \tabularnewline
75 & 261000 & 261190.57480932 & -190.574809320009 \tabularnewline
76 & 269300 & 264719.276164265 & 4580.72383573541 \tabularnewline
77 & 260400 & 262870.43460679 & -2470.43460678984 \tabularnewline
78 & 263200 & 264412.595223461 & -1212.59522346064 \tabularnewline
79 & 279200 & 263496.920991561 & 15703.0790084389 \tabularnewline
80 & 272200 & 276416.950694722 & -4216.95069472247 \tabularnewline
81 & 269200 & 274117.190944808 & -4917.19094480819 \tabularnewline
82 & 289600 & 273363.620580620 & 16236.3794193803 \tabularnewline
83 & 283200 & 278818.008015629 & 4381.99198437115 \tabularnewline
84 & 284300 & 282904.150626815 & 1395.84937318455 \tabularnewline
85 & 283000 & 282118.236810350 & 881.763189650315 \tabularnewline
86 & 289100 & 293608.791797489 & -4508.79179748870 \tabularnewline
87 & 289600 & 285611.008200384 & 3988.99179961625 \tabularnewline
88 & 289100 & 291826.345180788 & -2726.34518078784 \tabularnewline
89 & 287400 & 285437.609176044 & 1962.39082395629 \tabularnewline
90 & 279600 & 289301.819961965 & -9701.81996196514 \tabularnewline
91 & 289300 & 286134.363994055 & 3165.63600594504 \tabularnewline
92 & 295000 & 291496.96899198 & 3503.03100801975 \tabularnewline
93 & 299600 & 292559.853277554 & 7040.14672244573 \tabularnewline
94 & 293600 & 299548.963460424 & -5948.96346042375 \tabularnewline
95 & 294400 & 293449.270544507 & 950.729455492808 \tabularnewline
96 & 290200 & 295701.405161618 & -5501.40516161849 \tabularnewline
97 & 301000 & 291618.665833493 & 9381.33416650724 \tabularnewline
98 & 307900 & 306918.809861528 & 981.190138471895 \tabularnewline
99 & 298800 & 301927.448016464 & -3127.4480164643 \tabularnewline
100 & 310300 & 304335.944196178 & 5964.055803822 \tabularnewline
101 & 293900 & 302061.557556553 & -8161.5575565531 \tabularnewline
102 & 305000 & 300153.764376167 & 4846.23562383285 \tabularnewline
103 & 311300 & 305016.956893982 & 6283.04310601793 \tabularnewline
104 & 317300 & 312040.330381487 & 5259.66961851279 \tabularnewline
105 & 296200 & 314158.891597974 & -17958.8915979736 \tabularnewline
106 & 306800 & 308449.967021670 & -1649.96702166955 \tabularnewline
107 & 291800 & 304854.911626939 & -13054.9116269391 \tabularnewline
108 & 301900 & 300049.341412819 & 1850.65858718136 \tabularnewline
109 & 314600 & 300754.870559267 & 13845.1294407328 \tabularnewline
110 & 321500 & 317589.516217238 & 3910.48378276231 \tabularnewline
111 & 329400 & 313268.151595155 & 16131.8484048450 \tabularnewline
112 & 311700 & 325644.926006498 & -13944.9260064982 \tabularnewline
113 & 309700 & 312563.644983304 & -2863.64498330437 \tabularnewline
114 & 306500 & 314455.793152962 & -7955.79315296229 \tabularnewline
115 & 307100 & 313631.033810826 & -6531.03381082579 \tabularnewline
116 & 301300 & 314695.890035702 & -13395.8900357022 \tabularnewline
117 & 292200 & 306005.737167801 & -13805.7371678005 \tabularnewline
118 & 310100 & 303759.177799010 & 6340.82220099046 \tabularnewline
119 & 316800 & 302694.055091098 & 14105.9449089023 \tabularnewline
120 & 284400 & 311867.546794029 & -27467.5467940287 \tabularnewline
121 & 284600 & 300284.482903393 & -15684.4829033932 \tabularnewline
122 & 301200 & 302182.366317398 & -982.366317397682 \tabularnewline
123 & 287600 & 297122.015972044 & -9522.01597204432 \tabularnewline
124 & 314300 & 294666.787746325 & 19633.2122536746 \tabularnewline
125 & 298200 & 298364.205412652 & -164.205412652169 \tabularnewline
126 & 299400 & 300916.429426254 & -1516.42942625372 \tabularnewline
127 & 301900 & 303117.26724659 & -1217.26724659029 \tabularnewline
128 & 265500 & 305861.502323839 & -40361.5023238392 \tabularnewline
129 & 287100 & 284977.367973402 & 2122.63202659832 \tabularnewline
130 & 274000 & 291801.285710803 & -17801.2857108031 \tabularnewline
131 & 290100 & 280733.013106238 & 9366.98689376237 \tabularnewline
132 & 263100 & 283739.576001709 & -20639.5760017087 \tabularnewline
133 & 245200 & 276325.894226481 & -31125.8942264812 \tabularnewline
134 & 258600 & 271633.909418633 & -13033.9094186330 \tabularnewline
135 & 259800 & 260972.012121791 & -1172.0121217907 \tabularnewline
136 & 269800 & 264761.880251737 & 5038.11974826292 \tabularnewline
137 & 274600 & 260865.933516035 & 13734.0664839647 \tabularnewline
138 & 274800 & 269504.669443312 & 5295.33055668755 \tabularnewline
139 & 271100 & 274681.365786238 & -3581.36578623787 \tabularnewline
140 & 257800 & 272415.507552164 & -14615.5075521643 \tabularnewline
141 & 290300 & 267465.020165797 & 22834.9798342034 \tabularnewline
142 & 262200 & 281694.041620673 & -19494.0416206730 \tabularnewline
143 & 270000 & 272550.080019718 & -2550.08001971780 \tabularnewline
144 & 290600 & 267344.138091802 & 23255.861908198 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76987&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]13[/C][C]182900[/C][C]176965.155579880[/C][C]5934.84442012027[/C][/ROW]
[ROW][C]14[/C][C]191400[/C][C]188445.349798312[/C][C]2954.65020168756[/C][/ROW]
[ROW][C]15[/C][C]189300[/C][C]187997.306510601[/C][C]1302.69348939907[/C][/ROW]
[ROW][C]16[/C][C]192200[/C][C]191306.444594224[/C][C]893.555405775842[/C][/ROW]
[ROW][C]17[/C][C]187900[/C][C]186404.032890278[/C][C]1495.96710972194[/C][/ROW]
[ROW][C]18[/C][C]193900[/C][C]191965.68801862[/C][C]1934.31198137999[/C][/ROW]
[ROW][C]19[/C][C]189100[/C][C]192094.375243636[/C][C]-2994.37524363567[/C][/ROW]
[ROW][C]20[/C][C]193100[/C][C]198267.566327154[/C][C]-5167.56632715376[/C][/ROW]
[ROW][C]21[/C][C]194800[/C][C]192056.088728708[/C][C]2743.91127129228[/C][/ROW]
[ROW][C]22[/C][C]200200[/C][C]193310.959446464[/C][C]6889.04055353641[/C][/ROW]
[ROW][C]23[/C][C]211500[/C][C]192109.284489929[/C][C]19390.7155100714[/C][/ROW]
[ROW][C]24[/C][C]202100[/C][C]206287.940775720[/C][C]-4187.9407757204[/C][/ROW]
[ROW][C]25[/C][C]200300[/C][C]204369.896168068[/C][C]-4069.89616806776[/C][/ROW]
[ROW][C]26[/C][C]199200[/C][C]211879.599998405[/C][C]-12679.5999984053[/C][/ROW]
[ROW][C]27[/C][C]204900[/C][C]203847.199872669[/C][C]1052.80012733137[/C][/ROW]
[ROW][C]28[/C][C]207300[/C][C]207133.913531152[/C][C]166.086468847760[/C][/ROW]
[ROW][C]29[/C][C]2e+05[/C][C]201451.743538031[/C][C]-1451.74353803066[/C][/ROW]
[ROW][C]30[/C][C]197700[/C][C]205983.873525062[/C][C]-8283.87352506205[/C][/ROW]
[ROW][C]31[/C][C]202200[/C][C]200833.002757067[/C][C]1366.99724293308[/C][/ROW]
[ROW][C]32[/C][C]200200[/C][C]209147.760854121[/C][C]-8947.76085412118[/C][/ROW]
[ROW][C]33[/C][C]208300[/C][C]201776.102796220[/C][C]6523.89720377969[/C][/ROW]
[ROW][C]34[/C][C]215100[/C][C]205122.714065893[/C][C]9977.28593410732[/C][/ROW]
[ROW][C]35[/C][C]210700[/C][C]206211.987778346[/C][C]4488.01222165412[/C][/ROW]
[ROW][C]36[/C][C]208100[/C][C]211286.821834192[/C][C]-3186.82183419238[/C][/ROW]
[ROW][C]37[/C][C]209000[/C][C]209806.216977001[/C][C]-806.216977001139[/C][/ROW]
[ROW][C]38[/C][C]211000[/C][C]218199.445553946[/C][C]-7199.44555394645[/C][/ROW]
[ROW][C]39[/C][C]210200[/C][C]213934.779083474[/C][C]-3734.77908347431[/C][/ROW]
[ROW][C]40[/C][C]205500[/C][C]215002.296545961[/C][C]-9502.29654596126[/C][/ROW]
[ROW][C]41[/C][C]211400[/C][C]204613.535989314[/C][C]6786.46401068577[/C][/ROW]
[ROW][C]42[/C][C]211700[/C][C]212357.148924390[/C][C]-657.148924390378[/C][/ROW]
[ROW][C]43[/C][C]209300[/C][C]211574.596376989[/C][C]-2274.59637698889[/C][/ROW]
[ROW][C]44[/C][C]207500[/C][C]217435.390967366[/C][C]-9935.39096736582[/C][/ROW]
[ROW][C]45[/C][C]203300[/C][C]211003.170770206[/C][C]-7703.17077020579[/C][/ROW]
[ROW][C]46[/C][C]207100[/C][C]208142.069715966[/C][C]-1042.06971596589[/C][/ROW]
[ROW][C]47[/C][C]206900[/C][C]203707.827582774[/C][C]3192.1724172261[/C][/ROW]
[ROW][C]48[/C][C]228700[/C][C]207410.803144618[/C][C]21289.1968553815[/C][/ROW]
[ROW][C]49[/C][C]226900[/C][C]217354.899634915[/C][C]9545.10036508532[/C][/ROW]
[ROW][C]50[/C][C]265000[/C][C]230270.869124007[/C][C]34729.1308759932[/C][/ROW]
[ROW][C]51[/C][C]227100[/C][C]245313.692234208[/C][C]-18213.6922342077[/C][/ROW]
[ROW][C]52[/C][C]228100[/C][C]239290.855097122[/C][C]-11190.8550971222[/C][/ROW]
[ROW][C]53[/C][C]226500[/C][C]229081.595426891[/C][C]-2581.59542689088[/C][/ROW]
[ROW][C]54[/C][C]225200[/C][C]232065.152869932[/C][C]-6865.152869932[/C][/ROW]
[ROW][C]55[/C][C]217800[/C][C]228142.047851911[/C][C]-10342.0478519109[/C][/ROW]
[ROW][C]56[/C][C]221300[/C][C]229845.229287021[/C][C]-8545.22928702127[/C][/ROW]
[ROW][C]57[/C][C]215300[/C][C]224076.663401462[/C][C]-8776.6634014617[/C][/ROW]
[ROW][C]58[/C][C]231300[/C][C]221395.809843861[/C][C]9904.19015613873[/C][/ROW]
[ROW][C]59[/C][C]227100[/C][C]221989.007231999[/C][C]5110.99276800075[/C][/ROW]
[ROW][C]60[/C][C]237800[/C][C]228521.564834521[/C][C]9278.43516547879[/C][/ROW]
[ROW][C]61[/C][C]230200[/C][C]231661.132096924[/C][C]-1461.13209692389[/C][/ROW]
[ROW][C]62[/C][C]233400[/C][C]242150.644114789[/C][C]-8750.64411478877[/C][/ROW]
[ROW][C]63[/C][C]231100[/C][C]232321.415878742[/C][C]-1221.41587874194[/C][/ROW]
[ROW][C]64[/C][C]237200[/C][C]234726.928633717[/C][C]2473.07136628326[/C][/ROW]
[ROW][C]65[/C][C]243700[/C][C]231563.774266804[/C][C]12136.2257331958[/C][/ROW]
[ROW][C]66[/C][C]239700[/C][C]240975.883431095[/C][C]-1275.88343109511[/C][/ROW]
[ROW][C]67[/C][C]248400[/C][C]239135.666356938[/C][C]9264.33364306192[/C][/ROW]
[ROW][C]68[/C][C]241000[/C][C]250512.630073953[/C][C]-9512.63007395333[/C][/ROW]
[ROW][C]69[/C][C]254500[/C][C]243987.000816995[/C][C]10512.9991830052[/C][/ROW]
[ROW][C]70[/C][C]242800[/C][C]252250.820802007[/C][C]-9450.82080200658[/C][/ROW]
[ROW][C]71[/C][C]268300[/C][C]242989.103899339[/C][C]25310.8961006614[/C][/ROW]
[ROW][C]72[/C][C]253900[/C][C]259642.715979594[/C][C]-5742.71597959386[/C][/ROW]
[ROW][C]73[/C][C]262100[/C][C]254519.419234319[/C][C]7580.5807656812[/C][/ROW]
[ROW][C]74[/C][C]264100[/C][C]269522.054232833[/C][C]-5422.05423283263[/C][/ROW]
[ROW][C]75[/C][C]261000[/C][C]261190.57480932[/C][C]-190.574809320009[/C][/ROW]
[ROW][C]76[/C][C]269300[/C][C]264719.276164265[/C][C]4580.72383573541[/C][/ROW]
[ROW][C]77[/C][C]260400[/C][C]262870.43460679[/C][C]-2470.43460678984[/C][/ROW]
[ROW][C]78[/C][C]263200[/C][C]264412.595223461[/C][C]-1212.59522346064[/C][/ROW]
[ROW][C]79[/C][C]279200[/C][C]263496.920991561[/C][C]15703.0790084389[/C][/ROW]
[ROW][C]80[/C][C]272200[/C][C]276416.950694722[/C][C]-4216.95069472247[/C][/ROW]
[ROW][C]81[/C][C]269200[/C][C]274117.190944808[/C][C]-4917.19094480819[/C][/ROW]
[ROW][C]82[/C][C]289600[/C][C]273363.620580620[/C][C]16236.3794193803[/C][/ROW]
[ROW][C]83[/C][C]283200[/C][C]278818.008015629[/C][C]4381.99198437115[/C][/ROW]
[ROW][C]84[/C][C]284300[/C][C]282904.150626815[/C][C]1395.84937318455[/C][/ROW]
[ROW][C]85[/C][C]283000[/C][C]282118.236810350[/C][C]881.763189650315[/C][/ROW]
[ROW][C]86[/C][C]289100[/C][C]293608.791797489[/C][C]-4508.79179748870[/C][/ROW]
[ROW][C]87[/C][C]289600[/C][C]285611.008200384[/C][C]3988.99179961625[/C][/ROW]
[ROW][C]88[/C][C]289100[/C][C]291826.345180788[/C][C]-2726.34518078784[/C][/ROW]
[ROW][C]89[/C][C]287400[/C][C]285437.609176044[/C][C]1962.39082395629[/C][/ROW]
[ROW][C]90[/C][C]279600[/C][C]289301.819961965[/C][C]-9701.81996196514[/C][/ROW]
[ROW][C]91[/C][C]289300[/C][C]286134.363994055[/C][C]3165.63600594504[/C][/ROW]
[ROW][C]92[/C][C]295000[/C][C]291496.96899198[/C][C]3503.03100801975[/C][/ROW]
[ROW][C]93[/C][C]299600[/C][C]292559.853277554[/C][C]7040.14672244573[/C][/ROW]
[ROW][C]94[/C][C]293600[/C][C]299548.963460424[/C][C]-5948.96346042375[/C][/ROW]
[ROW][C]95[/C][C]294400[/C][C]293449.270544507[/C][C]950.729455492808[/C][/ROW]
[ROW][C]96[/C][C]290200[/C][C]295701.405161618[/C][C]-5501.40516161849[/C][/ROW]
[ROW][C]97[/C][C]301000[/C][C]291618.665833493[/C][C]9381.33416650724[/C][/ROW]
[ROW][C]98[/C][C]307900[/C][C]306918.809861528[/C][C]981.190138471895[/C][/ROW]
[ROW][C]99[/C][C]298800[/C][C]301927.448016464[/C][C]-3127.4480164643[/C][/ROW]
[ROW][C]100[/C][C]310300[/C][C]304335.944196178[/C][C]5964.055803822[/C][/ROW]
[ROW][C]101[/C][C]293900[/C][C]302061.557556553[/C][C]-8161.5575565531[/C][/ROW]
[ROW][C]102[/C][C]305000[/C][C]300153.764376167[/C][C]4846.23562383285[/C][/ROW]
[ROW][C]103[/C][C]311300[/C][C]305016.956893982[/C][C]6283.04310601793[/C][/ROW]
[ROW][C]104[/C][C]317300[/C][C]312040.330381487[/C][C]5259.66961851279[/C][/ROW]
[ROW][C]105[/C][C]296200[/C][C]314158.891597974[/C][C]-17958.8915979736[/C][/ROW]
[ROW][C]106[/C][C]306800[/C][C]308449.967021670[/C][C]-1649.96702166955[/C][/ROW]
[ROW][C]107[/C][C]291800[/C][C]304854.911626939[/C][C]-13054.9116269391[/C][/ROW]
[ROW][C]108[/C][C]301900[/C][C]300049.341412819[/C][C]1850.65858718136[/C][/ROW]
[ROW][C]109[/C][C]314600[/C][C]300754.870559267[/C][C]13845.1294407328[/C][/ROW]
[ROW][C]110[/C][C]321500[/C][C]317589.516217238[/C][C]3910.48378276231[/C][/ROW]
[ROW][C]111[/C][C]329400[/C][C]313268.151595155[/C][C]16131.8484048450[/C][/ROW]
[ROW][C]112[/C][C]311700[/C][C]325644.926006498[/C][C]-13944.9260064982[/C][/ROW]
[ROW][C]113[/C][C]309700[/C][C]312563.644983304[/C][C]-2863.64498330437[/C][/ROW]
[ROW][C]114[/C][C]306500[/C][C]314455.793152962[/C][C]-7955.79315296229[/C][/ROW]
[ROW][C]115[/C][C]307100[/C][C]313631.033810826[/C][C]-6531.03381082579[/C][/ROW]
[ROW][C]116[/C][C]301300[/C][C]314695.890035702[/C][C]-13395.8900357022[/C][/ROW]
[ROW][C]117[/C][C]292200[/C][C]306005.737167801[/C][C]-13805.7371678005[/C][/ROW]
[ROW][C]118[/C][C]310100[/C][C]303759.177799010[/C][C]6340.82220099046[/C][/ROW]
[ROW][C]119[/C][C]316800[/C][C]302694.055091098[/C][C]14105.9449089023[/C][/ROW]
[ROW][C]120[/C][C]284400[/C][C]311867.546794029[/C][C]-27467.5467940287[/C][/ROW]
[ROW][C]121[/C][C]284600[/C][C]300284.482903393[/C][C]-15684.4829033932[/C][/ROW]
[ROW][C]122[/C][C]301200[/C][C]302182.366317398[/C][C]-982.366317397682[/C][/ROW]
[ROW][C]123[/C][C]287600[/C][C]297122.015972044[/C][C]-9522.01597204432[/C][/ROW]
[ROW][C]124[/C][C]314300[/C][C]294666.787746325[/C][C]19633.2122536746[/C][/ROW]
[ROW][C]125[/C][C]298200[/C][C]298364.205412652[/C][C]-164.205412652169[/C][/ROW]
[ROW][C]126[/C][C]299400[/C][C]300916.429426254[/C][C]-1516.42942625372[/C][/ROW]
[ROW][C]127[/C][C]301900[/C][C]303117.26724659[/C][C]-1217.26724659029[/C][/ROW]
[ROW][C]128[/C][C]265500[/C][C]305861.502323839[/C][C]-40361.5023238392[/C][/ROW]
[ROW][C]129[/C][C]287100[/C][C]284977.367973402[/C][C]2122.63202659832[/C][/ROW]
[ROW][C]130[/C][C]274000[/C][C]291801.285710803[/C][C]-17801.2857108031[/C][/ROW]
[ROW][C]131[/C][C]290100[/C][C]280733.013106238[/C][C]9366.98689376237[/C][/ROW]
[ROW][C]132[/C][C]263100[/C][C]283739.576001709[/C][C]-20639.5760017087[/C][/ROW]
[ROW][C]133[/C][C]245200[/C][C]276325.894226481[/C][C]-31125.8942264812[/C][/ROW]
[ROW][C]134[/C][C]258600[/C][C]271633.909418633[/C][C]-13033.9094186330[/C][/ROW]
[ROW][C]135[/C][C]259800[/C][C]260972.012121791[/C][C]-1172.0121217907[/C][/ROW]
[ROW][C]136[/C][C]269800[/C][C]264761.880251737[/C][C]5038.11974826292[/C][/ROW]
[ROW][C]137[/C][C]274600[/C][C]260865.933516035[/C][C]13734.0664839647[/C][/ROW]
[ROW][C]138[/C][C]274800[/C][C]269504.669443312[/C][C]5295.33055668755[/C][/ROW]
[ROW][C]139[/C][C]271100[/C][C]274681.365786238[/C][C]-3581.36578623787[/C][/ROW]
[ROW][C]140[/C][C]257800[/C][C]272415.507552164[/C][C]-14615.5075521643[/C][/ROW]
[ROW][C]141[/C][C]290300[/C][C]267465.020165797[/C][C]22834.9798342034[/C][/ROW]
[ROW][C]142[/C][C]262200[/C][C]281694.041620673[/C][C]-19494.0416206730[/C][/ROW]
[ROW][C]143[/C][C]270000[/C][C]272550.080019718[/C][C]-2550.08001971780[/C][/ROW]
[ROW][C]144[/C][C]290600[/C][C]267344.138091802[/C][C]23255.861908198[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76987&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76987&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
13182900176965.1555798805934.84442012027
14191400188445.3497983122954.65020168756
15189300187997.3065106011302.69348939907
16192200191306.444594224893.555405775842
17187900186404.0328902781495.96710972194
18193900191965.688018621934.31198137999
19189100192094.375243636-2994.37524363567
20193100198267.566327154-5167.56632715376
21194800192056.0887287082743.91127129228
22200200193310.9594464646889.04055353641
23211500192109.28448992919390.7155100714
24202100206287.940775720-4187.9407757204
25200300204369.896168068-4069.89616806776
26199200211879.599998405-12679.5999984053
27204900203847.1998726691052.80012733137
28207300207133.913531152166.086468847760
292e+05201451.743538031-1451.74353803066
30197700205983.873525062-8283.87352506205
31202200200833.0027570671366.99724293308
32200200209147.760854121-8947.76085412118
33208300201776.1027962206523.89720377969
34215100205122.7140658939977.28593410732
35210700206211.9877783464488.01222165412
36208100211286.821834192-3186.82183419238
37209000209806.216977001-806.216977001139
38211000218199.445553946-7199.44555394645
39210200213934.779083474-3734.77908347431
40205500215002.296545961-9502.29654596126
41211400204613.5359893146786.46401068577
42211700212357.148924390-657.148924390378
43209300211574.596376989-2274.59637698889
44207500217435.390967366-9935.39096736582
45203300211003.170770206-7703.17077020579
46207100208142.069715966-1042.06971596589
47206900203707.8275827743192.1724172261
48228700207410.80314461821289.1968553815
49226900217354.8996349159545.10036508532
50265000230270.86912400734729.1308759932
51227100245313.692234208-18213.6922342077
52228100239290.855097122-11190.8550971222
53226500229081.595426891-2581.59542689088
54225200232065.152869932-6865.152869932
55217800228142.047851911-10342.0478519109
56221300229845.229287021-8545.22928702127
57215300224076.663401462-8776.6634014617
58231300221395.8098438619904.19015613873
59227100221989.0072319995110.99276800075
60237800228521.5648345219278.43516547879
61230200231661.132096924-1461.13209692389
62233400242150.644114789-8750.64411478877
63231100232321.415878742-1221.41587874194
64237200234726.9286337172473.07136628326
65243700231563.77426680412136.2257331958
66239700240975.883431095-1275.88343109511
67248400239135.6663569389264.33364306192
68241000250512.630073953-9512.63007395333
69254500243987.00081699510512.9991830052
70242800252250.820802007-9450.82080200658
71268300242989.10389933925310.8961006614
72253900259642.715979594-5742.71597959386
73262100254519.4192343197580.5807656812
74264100269522.054232833-5422.05423283263
75261000261190.57480932-190.574809320009
76269300264719.2761642654580.72383573541
77260400262870.43460679-2470.43460678984
78263200264412.595223461-1212.59522346064
79279200263496.92099156115703.0790084389
80272200276416.950694722-4216.95069472247
81269200274117.190944808-4917.19094480819
82289600273363.62058062016236.3794193803
83283200278818.0080156294381.99198437115
84284300282904.1506268151395.84937318455
85283000282118.236810350881.763189650315
86289100293608.791797489-4508.79179748870
87289600285611.0082003843988.99179961625
88289100291826.345180788-2726.34518078784
89287400285437.6091760441962.39082395629
90279600289301.819961965-9701.81996196514
91289300286134.3639940553165.63600594504
92295000291496.968991983503.03100801975
93299600292559.8532775547040.14672244573
94293600299548.963460424-5948.96346042375
95294400293449.270544507950.729455492808
96290200295701.405161618-5501.40516161849
97301000291618.6658334939381.33416650724
98307900306918.809861528981.190138471895
99298800301927.448016464-3127.4480164643
100310300304335.9441961785964.055803822
101293900302061.557556553-8161.5575565531
102305000300153.7643761674846.23562383285
103311300305016.9568939826283.04310601793
104317300312040.3303814875259.66961851279
105296200314158.891597974-17958.8915979736
106306800308449.967021670-1649.96702166955
107291800304854.911626939-13054.9116269391
108301900300049.3414128191850.65858718136
109314600300754.87055926713845.1294407328
110321500317589.5162172383910.48378276231
111329400313268.15159515516131.8484048450
112311700325644.926006498-13944.9260064982
113309700312563.644983304-2863.64498330437
114306500314455.793152962-7955.79315296229
115307100313631.033810826-6531.03381082579
116301300314695.890035702-13395.8900357022
117292200306005.737167801-13805.7371678005
118310100303759.1777990106340.82220099046
119316800302694.05509109814105.9449089023
120284400311867.546794029-27467.5467940287
121284600300284.482903393-15684.4829033932
122301200302182.366317398-982.366317397682
123287600297122.015972044-9522.01597204432
124314300294666.78774632519633.2122536746
125298200298364.205412652-164.205412652169
126299400300916.429426254-1516.42942625372
127301900303117.26724659-1217.26724659029
128265500305861.502323839-40361.5023238392
129287100284977.3679734022122.63202659832
130274000291801.285710803-17801.2857108031
131290100280733.0131062389366.98689376237
132263100283739.576001709-20639.5760017087
133245200276325.894226481-31125.8942264812
134258600271633.909418633-13033.9094186330
135259800260972.012121791-1172.0121217907
136269800264761.8802517375038.11974826292
137274600260865.93351603513734.0664839647
138274800269504.6694433125295.33055668755
139271100274681.365786238-3581.36578623787
140257800272415.507552164-14615.5075521643
141290300267465.02016579722834.9798342034
142262200281694.041620673-19494.0416206730
143270000272550.080019718-2550.08001971780
144290600267344.13809180223255.861908198







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
145278851.652072713266969.162478297290734.141667129
146290965.791206565275324.750422770306606.83199036
147286985.703436384268722.894252073305248.512620694
148292315.461143935271390.176525797313240.745762074
149286339.199557518263646.250254348309032.148860689
150287878.024990257263133.060148915312622.989831598
151289798.848287068263125.288177991316472.408396145
152287878.767987302259706.456534833316051.07943977
153293610.987214270263379.898151688323842.076276851
154293073.160486438261445.854646713324700.466326164
155294564.959400048261415.384454246327714.534345851
156292751.610929177260609.419203813324893.80265454

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
145 & 278851.652072713 & 266969.162478297 & 290734.141667129 \tabularnewline
146 & 290965.791206565 & 275324.750422770 & 306606.83199036 \tabularnewline
147 & 286985.703436384 & 268722.894252073 & 305248.512620694 \tabularnewline
148 & 292315.461143935 & 271390.176525797 & 313240.745762074 \tabularnewline
149 & 286339.199557518 & 263646.250254348 & 309032.148860689 \tabularnewline
150 & 287878.024990257 & 263133.060148915 & 312622.989831598 \tabularnewline
151 & 289798.848287068 & 263125.288177991 & 316472.408396145 \tabularnewline
152 & 287878.767987302 & 259706.456534833 & 316051.07943977 \tabularnewline
153 & 293610.987214270 & 263379.898151688 & 323842.076276851 \tabularnewline
154 & 293073.160486438 & 261445.854646713 & 324700.466326164 \tabularnewline
155 & 294564.959400048 & 261415.384454246 & 327714.534345851 \tabularnewline
156 & 292751.610929177 & 260609.419203813 & 324893.80265454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76987&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]145[/C][C]278851.652072713[/C][C]266969.162478297[/C][C]290734.141667129[/C][/ROW]
[ROW][C]146[/C][C]290965.791206565[/C][C]275324.750422770[/C][C]306606.83199036[/C][/ROW]
[ROW][C]147[/C][C]286985.703436384[/C][C]268722.894252073[/C][C]305248.512620694[/C][/ROW]
[ROW][C]148[/C][C]292315.461143935[/C][C]271390.176525797[/C][C]313240.745762074[/C][/ROW]
[ROW][C]149[/C][C]286339.199557518[/C][C]263646.250254348[/C][C]309032.148860689[/C][/ROW]
[ROW][C]150[/C][C]287878.024990257[/C][C]263133.060148915[/C][C]312622.989831598[/C][/ROW]
[ROW][C]151[/C][C]289798.848287068[/C][C]263125.288177991[/C][C]316472.408396145[/C][/ROW]
[ROW][C]152[/C][C]287878.767987302[/C][C]259706.456534833[/C][C]316051.07943977[/C][/ROW]
[ROW][C]153[/C][C]293610.987214270[/C][C]263379.898151688[/C][C]323842.076276851[/C][/ROW]
[ROW][C]154[/C][C]293073.160486438[/C][C]261445.854646713[/C][C]324700.466326164[/C][/ROW]
[ROW][C]155[/C][C]294564.959400048[/C][C]261415.384454246[/C][C]327714.534345851[/C][/ROW]
[ROW][C]156[/C][C]292751.610929177[/C][C]260609.419203813[/C][C]324893.80265454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76987&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76987&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
145278851.652072713266969.162478297290734.141667129
146290965.791206565275324.750422770306606.83199036
147286985.703436384268722.894252073305248.512620694
148292315.461143935271390.176525797313240.745762074
149286339.199557518263646.250254348309032.148860689
150287878.024990257263133.060148915312622.989831598
151289798.848287068263125.288177991316472.408396145
152287878.767987302259706.456534833316051.07943977
153293610.987214270263379.898151688323842.076276851
154293073.160486438261445.854646713324700.466326164
155294564.959400048261415.384454246327714.534345851
156292751.610929177260609.419203813324893.80265454



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
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')