Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationFri, 28 Nov 2014 11:15:00 +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/Nov/28/t1417173326orrwdjlye7rzavs.htm/, Retrieved Sun, 19 May 2024 16:34:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=260833, Retrieved Sun, 19 May 2024 16:34:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2014-11-28 11:15:00] [d4b037465b17855a5e62fa4428b30753] [Current]
Feedback Forum

Post a new message
Dataseries X:
1.464
1.474
1.479
1.517
1.575
1.627
254
200
165
123
162
145
145
161
155
173
160
47
232
143
161
159
243
192
157
143
221
227
132
41
273
182
188
162
140
186
178
236
202
184
119
16
340
151
240
235
174
309
174
207
209
171
117
10
339
139
186
155
153
222
102
107
188
162
185
24
394
209
248
254
202
258
215
309
240
258
276
48
455
345
311
346
310
297
300
274
292
304
186
14
321
206
160
217
204
246
234
175
364
328
158
40
556
193
221
278
230
253
240
252
228
306
206
48
557
279
399
364
306
471
293
333
316
329
265
61
679
428
394
352
387
590
177
199
203
255
261
115




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260833&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260833&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260833&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'Gwilym Jenkins' @ jenkins.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.147804156739177
beta0.00418923950701031
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.147804156739177 \tabularnewline
beta & 0.00418923950701031 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260833&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]0.147804156739177[/C][/ROW]
[ROW][C]beta[/C][C]0.00418923950701031[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260833&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260833&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
alpha0.147804156739177
beta0.00418923950701031
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
31.4791.484-0.00499999999999989
41.5171.493257883281240.0237421167187595
51.5751.506778671697320.0682213283026771
61.6271.526915914234460.100084085765535
72541.55182457553587252.448175424464
820039.0311427135002160.9688572865
916563.0891072008907101.910892799109
1012378.481160949765344.5188390502347
1116285.417996077718876.5820039222812
1214597.141318834210647.8586811657894
13145104.64884856575540.3511514342448
14161111.07171910505149.9282808949493
15155118.94104413136536.0589558686353
16173124.78275250478948.2172474952114
17160132.45136241290527.5486375870946
1847137.082123621194-90.0821236211937
19232124.27079168148107.72920831852
20143140.7635013792492.23649862075069
21161141.66533488890919.3346651110909
22159145.10632025199213.8936797480084
23243147.75170814771295.2482918522877
24192162.48062238764729.5193776123533
25157167.512807900207-10.5128079002069
26143166.621560596538-23.6215605965379
27221163.77815899114457.2218410088562
28227172.91917920875854.0808207912421
29132181.629429723678-49.6294297236775
3041174.980144217697-133.980144217697
31273155.780513720321117.219486279679
32182173.7818135653438.2181864346571
33188175.67735679760612.3226432023943
34162178.18718582193-16.1871858219295
35140176.473120713302-36.4731207133018
36186171.7381264217314.2618735782699
37178174.5108059454883.48919405451224
38236175.69339912005860.3066008799416
39202185.31118226261416.6888177373859
40184188.492409248153-4.49240924815257
41119188.54018119893-69.5401811989302
4216178.930563691701-162.930563691701
43340155.416574963566184.583425036434
44151183.380889954006-32.3808899540064
45240179.25692749827260.7430725017285
46235188.93468510712346.0653148928773
47174196.471532174494-22.4715321744937
48309193.864434274632115.135565725368
49174211.667527888183-37.6675278881829
50207206.8623658589760.137634141023909
51209207.6450491451571.35495085484317
52171208.60849586968-37.6084958696803
53117203.789696515224-86.7896965152236
5410191.647972219013-181.647972219013
55339165.373326407387173.626673592613
56139191.717257412108-52.7172574121079
57186184.573972720511.42602727949003
58155185.434173543414-30.4341735434141
59153181.566459805147-28.5664598051473
60222177.95711394008544.0428860599152
61102185.107001995042-83.1070019950417
62107173.412149290254-66.4121492902541
63188164.14374367105623.8562563289443
64162168.232155108684-6.23215510868368
65185167.86951539664717.1304846033529
6624170.970577920037-146.970577920037
67394149.725819004056244.274180995944
68209186.45991315868722.5400868413128
69248190.43474303550657.5652569644944
70254199.62208230652354.3779176934771
71202208.37198968476-6.37198968475994
72258208.13886277771649.8611372222844
73215216.248099142581-1.24809914258117
74309216.80240511817592.1975948818251
75240231.2254606533078.77453934669279
76258233.3236748932724.6763251067302
77276237.78751842816938.2124815718308
7848244.275722827195-196.275722827195
79455215.984064531254239.015935468746
80345252.17831828841692.8216817115839
81311266.82192762870144.1780723712986
82346274.30316379835571.6968362016451
83310285.89618140028624.1038185997141
84297290.4696779403246.53032205967565
85300292.4497821339127.55021786608825
86274294.585306163974-20.5853061639737
87292292.549536636128-0.549536636127982
88304293.47479686201810.5252031379821
89186296.043466730415-110.043466730415
9014280.723448534316-266.723448534316
91321242.08032605446478.9196739455358
92206254.573559862597-48.5735598625973
93160248.19268764034-88.1926876403403
94217235.901335879349-18.9013358793492
95204233.83983047301-29.8398304730098
96246230.14309366176815.8569063382321
97234233.210342891110.789657108889884
98175234.051078999157-59.0510789991567
99364226.010541906899137.989458093101
100328247.17885652333980.8211434766607
101158259.94750000809-101.94750000809
10240245.63905369623-205.63905369623
103556215.877235699165340.122764300835
104193266.991882589979-73.9918825899788
105221256.852848491008-35.852848491008
106278252.32872254772825.671277452272
107230256.914013480208-26.9140134802076
108253253.710315021921-0.71031502192082
109240254.379192299872-14.3791922998723
110252253.018849289059-1.01884928905946
111228253.632589652458-25.6325896524583
112306250.59244551063355.407554489367
113206259.564679173857-53.5646791738574
11448252.39719717882-204.39719717882
115557222.809481961284334.190518038716
116279273.0341962500985.96580374990242
117399274.749627370698124.250372629302
118364294.02494366683269.9750563331683
119306305.3214702521590.67852974784131
120471306.376102297395164.623897702605
121293331.764474183919-38.7644741839188
122333327.0671968142315.93280318576859
123316328.980036349389-12.9800363493894
124329328.0894425155780.910557484422043
125265329.252499995348-64.252499995348
12661320.744402400243-259.744402400243
127679283.180958660254395.819041339746
128428342.75760292106685.2423970789335
129394356.4825091592337.51749084077
130352363.176706218484-11.1767062184837
131387362.66677807196824.3332219280322
132590367.420431726012222.579568273988
133177401.613537806313-224.613537806313
134199369.570566157352-170.570566157352
135203345.40975528133-142.40975528133
136255325.323051038977-70.3230510389766
137261315.847518209373-54.8475182093728
138115308.625372588783-193.625372588783

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 1.479 & 1.484 & -0.00499999999999989 \tabularnewline
4 & 1.517 & 1.49325788328124 & 0.0237421167187595 \tabularnewline
5 & 1.575 & 1.50677867169732 & 0.0682213283026771 \tabularnewline
6 & 1.627 & 1.52691591423446 & 0.100084085765535 \tabularnewline
7 & 254 & 1.55182457553587 & 252.448175424464 \tabularnewline
8 & 200 & 39.0311427135002 & 160.9688572865 \tabularnewline
9 & 165 & 63.0891072008907 & 101.910892799109 \tabularnewline
10 & 123 & 78.4811609497653 & 44.5188390502347 \tabularnewline
11 & 162 & 85.4179960777188 & 76.5820039222812 \tabularnewline
12 & 145 & 97.1413188342106 & 47.8586811657894 \tabularnewline
13 & 145 & 104.648848565755 & 40.3511514342448 \tabularnewline
14 & 161 & 111.071719105051 & 49.9282808949493 \tabularnewline
15 & 155 & 118.941044131365 & 36.0589558686353 \tabularnewline
16 & 173 & 124.782752504789 & 48.2172474952114 \tabularnewline
17 & 160 & 132.451362412905 & 27.5486375870946 \tabularnewline
18 & 47 & 137.082123621194 & -90.0821236211937 \tabularnewline
19 & 232 & 124.27079168148 & 107.72920831852 \tabularnewline
20 & 143 & 140.763501379249 & 2.23649862075069 \tabularnewline
21 & 161 & 141.665334888909 & 19.3346651110909 \tabularnewline
22 & 159 & 145.106320251992 & 13.8936797480084 \tabularnewline
23 & 243 & 147.751708147712 & 95.2482918522877 \tabularnewline
24 & 192 & 162.480622387647 & 29.5193776123533 \tabularnewline
25 & 157 & 167.512807900207 & -10.5128079002069 \tabularnewline
26 & 143 & 166.621560596538 & -23.6215605965379 \tabularnewline
27 & 221 & 163.778158991144 & 57.2218410088562 \tabularnewline
28 & 227 & 172.919179208758 & 54.0808207912421 \tabularnewline
29 & 132 & 181.629429723678 & -49.6294297236775 \tabularnewline
30 & 41 & 174.980144217697 & -133.980144217697 \tabularnewline
31 & 273 & 155.780513720321 & 117.219486279679 \tabularnewline
32 & 182 & 173.781813565343 & 8.2181864346571 \tabularnewline
33 & 188 & 175.677356797606 & 12.3226432023943 \tabularnewline
34 & 162 & 178.18718582193 & -16.1871858219295 \tabularnewline
35 & 140 & 176.473120713302 & -36.4731207133018 \tabularnewline
36 & 186 & 171.73812642173 & 14.2618735782699 \tabularnewline
37 & 178 & 174.510805945488 & 3.48919405451224 \tabularnewline
38 & 236 & 175.693399120058 & 60.3066008799416 \tabularnewline
39 & 202 & 185.311182262614 & 16.6888177373859 \tabularnewline
40 & 184 & 188.492409248153 & -4.49240924815257 \tabularnewline
41 & 119 & 188.54018119893 & -69.5401811989302 \tabularnewline
42 & 16 & 178.930563691701 & -162.930563691701 \tabularnewline
43 & 340 & 155.416574963566 & 184.583425036434 \tabularnewline
44 & 151 & 183.380889954006 & -32.3808899540064 \tabularnewline
45 & 240 & 179.256927498272 & 60.7430725017285 \tabularnewline
46 & 235 & 188.934685107123 & 46.0653148928773 \tabularnewline
47 & 174 & 196.471532174494 & -22.4715321744937 \tabularnewline
48 & 309 & 193.864434274632 & 115.135565725368 \tabularnewline
49 & 174 & 211.667527888183 & -37.6675278881829 \tabularnewline
50 & 207 & 206.862365858976 & 0.137634141023909 \tabularnewline
51 & 209 & 207.645049145157 & 1.35495085484317 \tabularnewline
52 & 171 & 208.60849586968 & -37.6084958696803 \tabularnewline
53 & 117 & 203.789696515224 & -86.7896965152236 \tabularnewline
54 & 10 & 191.647972219013 & -181.647972219013 \tabularnewline
55 & 339 & 165.373326407387 & 173.626673592613 \tabularnewline
56 & 139 & 191.717257412108 & -52.7172574121079 \tabularnewline
57 & 186 & 184.57397272051 & 1.42602727949003 \tabularnewline
58 & 155 & 185.434173543414 & -30.4341735434141 \tabularnewline
59 & 153 & 181.566459805147 & -28.5664598051473 \tabularnewline
60 & 222 & 177.957113940085 & 44.0428860599152 \tabularnewline
61 & 102 & 185.107001995042 & -83.1070019950417 \tabularnewline
62 & 107 & 173.412149290254 & -66.4121492902541 \tabularnewline
63 & 188 & 164.143743671056 & 23.8562563289443 \tabularnewline
64 & 162 & 168.232155108684 & -6.23215510868368 \tabularnewline
65 & 185 & 167.869515396647 & 17.1304846033529 \tabularnewline
66 & 24 & 170.970577920037 & -146.970577920037 \tabularnewline
67 & 394 & 149.725819004056 & 244.274180995944 \tabularnewline
68 & 209 & 186.459913158687 & 22.5400868413128 \tabularnewline
69 & 248 & 190.434743035506 & 57.5652569644944 \tabularnewline
70 & 254 & 199.622082306523 & 54.3779176934771 \tabularnewline
71 & 202 & 208.37198968476 & -6.37198968475994 \tabularnewline
72 & 258 & 208.138862777716 & 49.8611372222844 \tabularnewline
73 & 215 & 216.248099142581 & -1.24809914258117 \tabularnewline
74 & 309 & 216.802405118175 & 92.1975948818251 \tabularnewline
75 & 240 & 231.225460653307 & 8.77453934669279 \tabularnewline
76 & 258 & 233.32367489327 & 24.6763251067302 \tabularnewline
77 & 276 & 237.787518428169 & 38.2124815718308 \tabularnewline
78 & 48 & 244.275722827195 & -196.275722827195 \tabularnewline
79 & 455 & 215.984064531254 & 239.015935468746 \tabularnewline
80 & 345 & 252.178318288416 & 92.8216817115839 \tabularnewline
81 & 311 & 266.821927628701 & 44.1780723712986 \tabularnewline
82 & 346 & 274.303163798355 & 71.6968362016451 \tabularnewline
83 & 310 & 285.896181400286 & 24.1038185997141 \tabularnewline
84 & 297 & 290.469677940324 & 6.53032205967565 \tabularnewline
85 & 300 & 292.449782133912 & 7.55021786608825 \tabularnewline
86 & 274 & 294.585306163974 & -20.5853061639737 \tabularnewline
87 & 292 & 292.549536636128 & -0.549536636127982 \tabularnewline
88 & 304 & 293.474796862018 & 10.5252031379821 \tabularnewline
89 & 186 & 296.043466730415 & -110.043466730415 \tabularnewline
90 & 14 & 280.723448534316 & -266.723448534316 \tabularnewline
91 & 321 & 242.080326054464 & 78.9196739455358 \tabularnewline
92 & 206 & 254.573559862597 & -48.5735598625973 \tabularnewline
93 & 160 & 248.19268764034 & -88.1926876403403 \tabularnewline
94 & 217 & 235.901335879349 & -18.9013358793492 \tabularnewline
95 & 204 & 233.83983047301 & -29.8398304730098 \tabularnewline
96 & 246 & 230.143093661768 & 15.8569063382321 \tabularnewline
97 & 234 & 233.21034289111 & 0.789657108889884 \tabularnewline
98 & 175 & 234.051078999157 & -59.0510789991567 \tabularnewline
99 & 364 & 226.010541906899 & 137.989458093101 \tabularnewline
100 & 328 & 247.178856523339 & 80.8211434766607 \tabularnewline
101 & 158 & 259.94750000809 & -101.94750000809 \tabularnewline
102 & 40 & 245.63905369623 & -205.63905369623 \tabularnewline
103 & 556 & 215.877235699165 & 340.122764300835 \tabularnewline
104 & 193 & 266.991882589979 & -73.9918825899788 \tabularnewline
105 & 221 & 256.852848491008 & -35.852848491008 \tabularnewline
106 & 278 & 252.328722547728 & 25.671277452272 \tabularnewline
107 & 230 & 256.914013480208 & -26.9140134802076 \tabularnewline
108 & 253 & 253.710315021921 & -0.71031502192082 \tabularnewline
109 & 240 & 254.379192299872 & -14.3791922998723 \tabularnewline
110 & 252 & 253.018849289059 & -1.01884928905946 \tabularnewline
111 & 228 & 253.632589652458 & -25.6325896524583 \tabularnewline
112 & 306 & 250.592445510633 & 55.407554489367 \tabularnewline
113 & 206 & 259.564679173857 & -53.5646791738574 \tabularnewline
114 & 48 & 252.39719717882 & -204.39719717882 \tabularnewline
115 & 557 & 222.809481961284 & 334.190518038716 \tabularnewline
116 & 279 & 273.034196250098 & 5.96580374990242 \tabularnewline
117 & 399 & 274.749627370698 & 124.250372629302 \tabularnewline
118 & 364 & 294.024943666832 & 69.9750563331683 \tabularnewline
119 & 306 & 305.321470252159 & 0.67852974784131 \tabularnewline
120 & 471 & 306.376102297395 & 164.623897702605 \tabularnewline
121 & 293 & 331.764474183919 & -38.7644741839188 \tabularnewline
122 & 333 & 327.067196814231 & 5.93280318576859 \tabularnewline
123 & 316 & 328.980036349389 & -12.9800363493894 \tabularnewline
124 & 329 & 328.089442515578 & 0.910557484422043 \tabularnewline
125 & 265 & 329.252499995348 & -64.252499995348 \tabularnewline
126 & 61 & 320.744402400243 & -259.744402400243 \tabularnewline
127 & 679 & 283.180958660254 & 395.819041339746 \tabularnewline
128 & 428 & 342.757602921066 & 85.2423970789335 \tabularnewline
129 & 394 & 356.48250915923 & 37.51749084077 \tabularnewline
130 & 352 & 363.176706218484 & -11.1767062184837 \tabularnewline
131 & 387 & 362.666778071968 & 24.3332219280322 \tabularnewline
132 & 590 & 367.420431726012 & 222.579568273988 \tabularnewline
133 & 177 & 401.613537806313 & -224.613537806313 \tabularnewline
134 & 199 & 369.570566157352 & -170.570566157352 \tabularnewline
135 & 203 & 345.40975528133 & -142.40975528133 \tabularnewline
136 & 255 & 325.323051038977 & -70.3230510389766 \tabularnewline
137 & 261 & 315.847518209373 & -54.8475182093728 \tabularnewline
138 & 115 & 308.625372588783 & -193.625372588783 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260833&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]1.479[/C][C]1.484[/C][C]-0.00499999999999989[/C][/ROW]
[ROW][C]4[/C][C]1.517[/C][C]1.49325788328124[/C][C]0.0237421167187595[/C][/ROW]
[ROW][C]5[/C][C]1.575[/C][C]1.50677867169732[/C][C]0.0682213283026771[/C][/ROW]
[ROW][C]6[/C][C]1.627[/C][C]1.52691591423446[/C][C]0.100084085765535[/C][/ROW]
[ROW][C]7[/C][C]254[/C][C]1.55182457553587[/C][C]252.448175424464[/C][/ROW]
[ROW][C]8[/C][C]200[/C][C]39.0311427135002[/C][C]160.9688572865[/C][/ROW]
[ROW][C]9[/C][C]165[/C][C]63.0891072008907[/C][C]101.910892799109[/C][/ROW]
[ROW][C]10[/C][C]123[/C][C]78.4811609497653[/C][C]44.5188390502347[/C][/ROW]
[ROW][C]11[/C][C]162[/C][C]85.4179960777188[/C][C]76.5820039222812[/C][/ROW]
[ROW][C]12[/C][C]145[/C][C]97.1413188342106[/C][C]47.8586811657894[/C][/ROW]
[ROW][C]13[/C][C]145[/C][C]104.648848565755[/C][C]40.3511514342448[/C][/ROW]
[ROW][C]14[/C][C]161[/C][C]111.071719105051[/C][C]49.9282808949493[/C][/ROW]
[ROW][C]15[/C][C]155[/C][C]118.941044131365[/C][C]36.0589558686353[/C][/ROW]
[ROW][C]16[/C][C]173[/C][C]124.782752504789[/C][C]48.2172474952114[/C][/ROW]
[ROW][C]17[/C][C]160[/C][C]132.451362412905[/C][C]27.5486375870946[/C][/ROW]
[ROW][C]18[/C][C]47[/C][C]137.082123621194[/C][C]-90.0821236211937[/C][/ROW]
[ROW][C]19[/C][C]232[/C][C]124.27079168148[/C][C]107.72920831852[/C][/ROW]
[ROW][C]20[/C][C]143[/C][C]140.763501379249[/C][C]2.23649862075069[/C][/ROW]
[ROW][C]21[/C][C]161[/C][C]141.665334888909[/C][C]19.3346651110909[/C][/ROW]
[ROW][C]22[/C][C]159[/C][C]145.106320251992[/C][C]13.8936797480084[/C][/ROW]
[ROW][C]23[/C][C]243[/C][C]147.751708147712[/C][C]95.2482918522877[/C][/ROW]
[ROW][C]24[/C][C]192[/C][C]162.480622387647[/C][C]29.5193776123533[/C][/ROW]
[ROW][C]25[/C][C]157[/C][C]167.512807900207[/C][C]-10.5128079002069[/C][/ROW]
[ROW][C]26[/C][C]143[/C][C]166.621560596538[/C][C]-23.6215605965379[/C][/ROW]
[ROW][C]27[/C][C]221[/C][C]163.778158991144[/C][C]57.2218410088562[/C][/ROW]
[ROW][C]28[/C][C]227[/C][C]172.919179208758[/C][C]54.0808207912421[/C][/ROW]
[ROW][C]29[/C][C]132[/C][C]181.629429723678[/C][C]-49.6294297236775[/C][/ROW]
[ROW][C]30[/C][C]41[/C][C]174.980144217697[/C][C]-133.980144217697[/C][/ROW]
[ROW][C]31[/C][C]273[/C][C]155.780513720321[/C][C]117.219486279679[/C][/ROW]
[ROW][C]32[/C][C]182[/C][C]173.781813565343[/C][C]8.2181864346571[/C][/ROW]
[ROW][C]33[/C][C]188[/C][C]175.677356797606[/C][C]12.3226432023943[/C][/ROW]
[ROW][C]34[/C][C]162[/C][C]178.18718582193[/C][C]-16.1871858219295[/C][/ROW]
[ROW][C]35[/C][C]140[/C][C]176.473120713302[/C][C]-36.4731207133018[/C][/ROW]
[ROW][C]36[/C][C]186[/C][C]171.73812642173[/C][C]14.2618735782699[/C][/ROW]
[ROW][C]37[/C][C]178[/C][C]174.510805945488[/C][C]3.48919405451224[/C][/ROW]
[ROW][C]38[/C][C]236[/C][C]175.693399120058[/C][C]60.3066008799416[/C][/ROW]
[ROW][C]39[/C][C]202[/C][C]185.311182262614[/C][C]16.6888177373859[/C][/ROW]
[ROW][C]40[/C][C]184[/C][C]188.492409248153[/C][C]-4.49240924815257[/C][/ROW]
[ROW][C]41[/C][C]119[/C][C]188.54018119893[/C][C]-69.5401811989302[/C][/ROW]
[ROW][C]42[/C][C]16[/C][C]178.930563691701[/C][C]-162.930563691701[/C][/ROW]
[ROW][C]43[/C][C]340[/C][C]155.416574963566[/C][C]184.583425036434[/C][/ROW]
[ROW][C]44[/C][C]151[/C][C]183.380889954006[/C][C]-32.3808899540064[/C][/ROW]
[ROW][C]45[/C][C]240[/C][C]179.256927498272[/C][C]60.7430725017285[/C][/ROW]
[ROW][C]46[/C][C]235[/C][C]188.934685107123[/C][C]46.0653148928773[/C][/ROW]
[ROW][C]47[/C][C]174[/C][C]196.471532174494[/C][C]-22.4715321744937[/C][/ROW]
[ROW][C]48[/C][C]309[/C][C]193.864434274632[/C][C]115.135565725368[/C][/ROW]
[ROW][C]49[/C][C]174[/C][C]211.667527888183[/C][C]-37.6675278881829[/C][/ROW]
[ROW][C]50[/C][C]207[/C][C]206.862365858976[/C][C]0.137634141023909[/C][/ROW]
[ROW][C]51[/C][C]209[/C][C]207.645049145157[/C][C]1.35495085484317[/C][/ROW]
[ROW][C]52[/C][C]171[/C][C]208.60849586968[/C][C]-37.6084958696803[/C][/ROW]
[ROW][C]53[/C][C]117[/C][C]203.789696515224[/C][C]-86.7896965152236[/C][/ROW]
[ROW][C]54[/C][C]10[/C][C]191.647972219013[/C][C]-181.647972219013[/C][/ROW]
[ROW][C]55[/C][C]339[/C][C]165.373326407387[/C][C]173.626673592613[/C][/ROW]
[ROW][C]56[/C][C]139[/C][C]191.717257412108[/C][C]-52.7172574121079[/C][/ROW]
[ROW][C]57[/C][C]186[/C][C]184.57397272051[/C][C]1.42602727949003[/C][/ROW]
[ROW][C]58[/C][C]155[/C][C]185.434173543414[/C][C]-30.4341735434141[/C][/ROW]
[ROW][C]59[/C][C]153[/C][C]181.566459805147[/C][C]-28.5664598051473[/C][/ROW]
[ROW][C]60[/C][C]222[/C][C]177.957113940085[/C][C]44.0428860599152[/C][/ROW]
[ROW][C]61[/C][C]102[/C][C]185.107001995042[/C][C]-83.1070019950417[/C][/ROW]
[ROW][C]62[/C][C]107[/C][C]173.412149290254[/C][C]-66.4121492902541[/C][/ROW]
[ROW][C]63[/C][C]188[/C][C]164.143743671056[/C][C]23.8562563289443[/C][/ROW]
[ROW][C]64[/C][C]162[/C][C]168.232155108684[/C][C]-6.23215510868368[/C][/ROW]
[ROW][C]65[/C][C]185[/C][C]167.869515396647[/C][C]17.1304846033529[/C][/ROW]
[ROW][C]66[/C][C]24[/C][C]170.970577920037[/C][C]-146.970577920037[/C][/ROW]
[ROW][C]67[/C][C]394[/C][C]149.725819004056[/C][C]244.274180995944[/C][/ROW]
[ROW][C]68[/C][C]209[/C][C]186.459913158687[/C][C]22.5400868413128[/C][/ROW]
[ROW][C]69[/C][C]248[/C][C]190.434743035506[/C][C]57.5652569644944[/C][/ROW]
[ROW][C]70[/C][C]254[/C][C]199.622082306523[/C][C]54.3779176934771[/C][/ROW]
[ROW][C]71[/C][C]202[/C][C]208.37198968476[/C][C]-6.37198968475994[/C][/ROW]
[ROW][C]72[/C][C]258[/C][C]208.138862777716[/C][C]49.8611372222844[/C][/ROW]
[ROW][C]73[/C][C]215[/C][C]216.248099142581[/C][C]-1.24809914258117[/C][/ROW]
[ROW][C]74[/C][C]309[/C][C]216.802405118175[/C][C]92.1975948818251[/C][/ROW]
[ROW][C]75[/C][C]240[/C][C]231.225460653307[/C][C]8.77453934669279[/C][/ROW]
[ROW][C]76[/C][C]258[/C][C]233.32367489327[/C][C]24.6763251067302[/C][/ROW]
[ROW][C]77[/C][C]276[/C][C]237.787518428169[/C][C]38.2124815718308[/C][/ROW]
[ROW][C]78[/C][C]48[/C][C]244.275722827195[/C][C]-196.275722827195[/C][/ROW]
[ROW][C]79[/C][C]455[/C][C]215.984064531254[/C][C]239.015935468746[/C][/ROW]
[ROW][C]80[/C][C]345[/C][C]252.178318288416[/C][C]92.8216817115839[/C][/ROW]
[ROW][C]81[/C][C]311[/C][C]266.821927628701[/C][C]44.1780723712986[/C][/ROW]
[ROW][C]82[/C][C]346[/C][C]274.303163798355[/C][C]71.6968362016451[/C][/ROW]
[ROW][C]83[/C][C]310[/C][C]285.896181400286[/C][C]24.1038185997141[/C][/ROW]
[ROW][C]84[/C][C]297[/C][C]290.469677940324[/C][C]6.53032205967565[/C][/ROW]
[ROW][C]85[/C][C]300[/C][C]292.449782133912[/C][C]7.55021786608825[/C][/ROW]
[ROW][C]86[/C][C]274[/C][C]294.585306163974[/C][C]-20.5853061639737[/C][/ROW]
[ROW][C]87[/C][C]292[/C][C]292.549536636128[/C][C]-0.549536636127982[/C][/ROW]
[ROW][C]88[/C][C]304[/C][C]293.474796862018[/C][C]10.5252031379821[/C][/ROW]
[ROW][C]89[/C][C]186[/C][C]296.043466730415[/C][C]-110.043466730415[/C][/ROW]
[ROW][C]90[/C][C]14[/C][C]280.723448534316[/C][C]-266.723448534316[/C][/ROW]
[ROW][C]91[/C][C]321[/C][C]242.080326054464[/C][C]78.9196739455358[/C][/ROW]
[ROW][C]92[/C][C]206[/C][C]254.573559862597[/C][C]-48.5735598625973[/C][/ROW]
[ROW][C]93[/C][C]160[/C][C]248.19268764034[/C][C]-88.1926876403403[/C][/ROW]
[ROW][C]94[/C][C]217[/C][C]235.901335879349[/C][C]-18.9013358793492[/C][/ROW]
[ROW][C]95[/C][C]204[/C][C]233.83983047301[/C][C]-29.8398304730098[/C][/ROW]
[ROW][C]96[/C][C]246[/C][C]230.143093661768[/C][C]15.8569063382321[/C][/ROW]
[ROW][C]97[/C][C]234[/C][C]233.21034289111[/C][C]0.789657108889884[/C][/ROW]
[ROW][C]98[/C][C]175[/C][C]234.051078999157[/C][C]-59.0510789991567[/C][/ROW]
[ROW][C]99[/C][C]364[/C][C]226.010541906899[/C][C]137.989458093101[/C][/ROW]
[ROW][C]100[/C][C]328[/C][C]247.178856523339[/C][C]80.8211434766607[/C][/ROW]
[ROW][C]101[/C][C]158[/C][C]259.94750000809[/C][C]-101.94750000809[/C][/ROW]
[ROW][C]102[/C][C]40[/C][C]245.63905369623[/C][C]-205.63905369623[/C][/ROW]
[ROW][C]103[/C][C]556[/C][C]215.877235699165[/C][C]340.122764300835[/C][/ROW]
[ROW][C]104[/C][C]193[/C][C]266.991882589979[/C][C]-73.9918825899788[/C][/ROW]
[ROW][C]105[/C][C]221[/C][C]256.852848491008[/C][C]-35.852848491008[/C][/ROW]
[ROW][C]106[/C][C]278[/C][C]252.328722547728[/C][C]25.671277452272[/C][/ROW]
[ROW][C]107[/C][C]230[/C][C]256.914013480208[/C][C]-26.9140134802076[/C][/ROW]
[ROW][C]108[/C][C]253[/C][C]253.710315021921[/C][C]-0.71031502192082[/C][/ROW]
[ROW][C]109[/C][C]240[/C][C]254.379192299872[/C][C]-14.3791922998723[/C][/ROW]
[ROW][C]110[/C][C]252[/C][C]253.018849289059[/C][C]-1.01884928905946[/C][/ROW]
[ROW][C]111[/C][C]228[/C][C]253.632589652458[/C][C]-25.6325896524583[/C][/ROW]
[ROW][C]112[/C][C]306[/C][C]250.592445510633[/C][C]55.407554489367[/C][/ROW]
[ROW][C]113[/C][C]206[/C][C]259.564679173857[/C][C]-53.5646791738574[/C][/ROW]
[ROW][C]114[/C][C]48[/C][C]252.39719717882[/C][C]-204.39719717882[/C][/ROW]
[ROW][C]115[/C][C]557[/C][C]222.809481961284[/C][C]334.190518038716[/C][/ROW]
[ROW][C]116[/C][C]279[/C][C]273.034196250098[/C][C]5.96580374990242[/C][/ROW]
[ROW][C]117[/C][C]399[/C][C]274.749627370698[/C][C]124.250372629302[/C][/ROW]
[ROW][C]118[/C][C]364[/C][C]294.024943666832[/C][C]69.9750563331683[/C][/ROW]
[ROW][C]119[/C][C]306[/C][C]305.321470252159[/C][C]0.67852974784131[/C][/ROW]
[ROW][C]120[/C][C]471[/C][C]306.376102297395[/C][C]164.623897702605[/C][/ROW]
[ROW][C]121[/C][C]293[/C][C]331.764474183919[/C][C]-38.7644741839188[/C][/ROW]
[ROW][C]122[/C][C]333[/C][C]327.067196814231[/C][C]5.93280318576859[/C][/ROW]
[ROW][C]123[/C][C]316[/C][C]328.980036349389[/C][C]-12.9800363493894[/C][/ROW]
[ROW][C]124[/C][C]329[/C][C]328.089442515578[/C][C]0.910557484422043[/C][/ROW]
[ROW][C]125[/C][C]265[/C][C]329.252499995348[/C][C]-64.252499995348[/C][/ROW]
[ROW][C]126[/C][C]61[/C][C]320.744402400243[/C][C]-259.744402400243[/C][/ROW]
[ROW][C]127[/C][C]679[/C][C]283.180958660254[/C][C]395.819041339746[/C][/ROW]
[ROW][C]128[/C][C]428[/C][C]342.757602921066[/C][C]85.2423970789335[/C][/ROW]
[ROW][C]129[/C][C]394[/C][C]356.48250915923[/C][C]37.51749084077[/C][/ROW]
[ROW][C]130[/C][C]352[/C][C]363.176706218484[/C][C]-11.1767062184837[/C][/ROW]
[ROW][C]131[/C][C]387[/C][C]362.666778071968[/C][C]24.3332219280322[/C][/ROW]
[ROW][C]132[/C][C]590[/C][C]367.420431726012[/C][C]222.579568273988[/C][/ROW]
[ROW][C]133[/C][C]177[/C][C]401.613537806313[/C][C]-224.613537806313[/C][/ROW]
[ROW][C]134[/C][C]199[/C][C]369.570566157352[/C][C]-170.570566157352[/C][/ROW]
[ROW][C]135[/C][C]203[/C][C]345.40975528133[/C][C]-142.40975528133[/C][/ROW]
[ROW][C]136[/C][C]255[/C][C]325.323051038977[/C][C]-70.3230510389766[/C][/ROW]
[ROW][C]137[/C][C]261[/C][C]315.847518209373[/C][C]-54.8475182093728[/C][/ROW]
[ROW][C]138[/C][C]115[/C][C]308.625372588783[/C][C]-193.625372588783[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260833&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260833&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
31.4791.484-0.00499999999999989
41.5171.493257883281240.0237421167187595
51.5751.506778671697320.0682213283026771
61.6271.526915914234460.100084085765535
72541.55182457553587252.448175424464
820039.0311427135002160.9688572865
916563.0891072008907101.910892799109
1012378.481160949765344.5188390502347
1116285.417996077718876.5820039222812
1214597.141318834210647.8586811657894
13145104.64884856575540.3511514342448
14161111.07171910505149.9282808949493
15155118.94104413136536.0589558686353
16173124.78275250478948.2172474952114
17160132.45136241290527.5486375870946
1847137.082123621194-90.0821236211937
19232124.27079168148107.72920831852
20143140.7635013792492.23649862075069
21161141.66533488890919.3346651110909
22159145.10632025199213.8936797480084
23243147.75170814771295.2482918522877
24192162.48062238764729.5193776123533
25157167.512807900207-10.5128079002069
26143166.621560596538-23.6215605965379
27221163.77815899114457.2218410088562
28227172.91917920875854.0808207912421
29132181.629429723678-49.6294297236775
3041174.980144217697-133.980144217697
31273155.780513720321117.219486279679
32182173.7818135653438.2181864346571
33188175.67735679760612.3226432023943
34162178.18718582193-16.1871858219295
35140176.473120713302-36.4731207133018
36186171.7381264217314.2618735782699
37178174.5108059454883.48919405451224
38236175.69339912005860.3066008799416
39202185.31118226261416.6888177373859
40184188.492409248153-4.49240924815257
41119188.54018119893-69.5401811989302
4216178.930563691701-162.930563691701
43340155.416574963566184.583425036434
44151183.380889954006-32.3808899540064
45240179.25692749827260.7430725017285
46235188.93468510712346.0653148928773
47174196.471532174494-22.4715321744937
48309193.864434274632115.135565725368
49174211.667527888183-37.6675278881829
50207206.8623658589760.137634141023909
51209207.6450491451571.35495085484317
52171208.60849586968-37.6084958696803
53117203.789696515224-86.7896965152236
5410191.647972219013-181.647972219013
55339165.373326407387173.626673592613
56139191.717257412108-52.7172574121079
57186184.573972720511.42602727949003
58155185.434173543414-30.4341735434141
59153181.566459805147-28.5664598051473
60222177.95711394008544.0428860599152
61102185.107001995042-83.1070019950417
62107173.412149290254-66.4121492902541
63188164.14374367105623.8562563289443
64162168.232155108684-6.23215510868368
65185167.86951539664717.1304846033529
6624170.970577920037-146.970577920037
67394149.725819004056244.274180995944
68209186.45991315868722.5400868413128
69248190.43474303550657.5652569644944
70254199.62208230652354.3779176934771
71202208.37198968476-6.37198968475994
72258208.13886277771649.8611372222844
73215216.248099142581-1.24809914258117
74309216.80240511817592.1975948818251
75240231.2254606533078.77453934669279
76258233.3236748932724.6763251067302
77276237.78751842816938.2124815718308
7848244.275722827195-196.275722827195
79455215.984064531254239.015935468746
80345252.17831828841692.8216817115839
81311266.82192762870144.1780723712986
82346274.30316379835571.6968362016451
83310285.89618140028624.1038185997141
84297290.4696779403246.53032205967565
85300292.4497821339127.55021786608825
86274294.585306163974-20.5853061639737
87292292.549536636128-0.549536636127982
88304293.47479686201810.5252031379821
89186296.043466730415-110.043466730415
9014280.723448534316-266.723448534316
91321242.08032605446478.9196739455358
92206254.573559862597-48.5735598625973
93160248.19268764034-88.1926876403403
94217235.901335879349-18.9013358793492
95204233.83983047301-29.8398304730098
96246230.14309366176815.8569063382321
97234233.210342891110.789657108889884
98175234.051078999157-59.0510789991567
99364226.010541906899137.989458093101
100328247.17885652333980.8211434766607
101158259.94750000809-101.94750000809
10240245.63905369623-205.63905369623
103556215.877235699165340.122764300835
104193266.991882589979-73.9918825899788
105221256.852848491008-35.852848491008
106278252.32872254772825.671277452272
107230256.914013480208-26.9140134802076
108253253.710315021921-0.71031502192082
109240254.379192299872-14.3791922998723
110252253.018849289059-1.01884928905946
111228253.632589652458-25.6325896524583
112306250.59244551063355.407554489367
113206259.564679173857-53.5646791738574
11448252.39719717882-204.39719717882
115557222.809481961284334.190518038716
116279273.0341962500985.96580374990242
117399274.749627370698124.250372629302
118364294.02494366683269.9750563331683
119306305.3214702521590.67852974784131
120471306.376102297395164.623897702605
121293331.764474183919-38.7644741839188
122333327.0671968142315.93280318576859
123316328.980036349389-12.9800363493894
124329328.0894425155780.910557484422043
125265329.252499995348-64.252499995348
12661320.744402400243-259.744402400243
127679283.180958660254395.819041339746
128428342.75760292106685.2423970789335
129394356.4825091592337.51749084077
130352363.176706218484-11.1767062184837
131387362.66677807196824.3332219280322
132590367.420431726012222.579568273988
133177401.613537806313-224.613537806313
134199369.570566157352-170.570566157352
135203345.40975528133-142.40975528133
136255325.323051038977-70.3230510389766
137261315.847518209373-54.8475182093728
138115308.625372588783-193.625372588783







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
139280.77139291153472.4151892574279489.12759656564
140281.53604815307970.8973561882966492.174740117861
141282.30070339462469.3852143218746495.216192467373
142283.06535863616967.8785056631696498.252211609168
143283.83001387771466.3769834169929501.283044338435
144284.59466911925964.880411349347504.30892688917
145285.35932436080463.3885631943148507.330085527292
146286.12397960234961.9012221025708510.346737102126
147286.88863484389360.4181801280178513.359089559769
148287.65329008543858.9392377493922516.367342421485
149288.41794532698357.4642034239868519.37168722998
150289.18260056852855.9928931709086522.372307966148

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
139 & 280.771392911534 & 72.4151892574279 & 489.12759656564 \tabularnewline
140 & 281.536048153079 & 70.8973561882966 & 492.174740117861 \tabularnewline
141 & 282.300703394624 & 69.3852143218746 & 495.216192467373 \tabularnewline
142 & 283.065358636169 & 67.8785056631696 & 498.252211609168 \tabularnewline
143 & 283.830013877714 & 66.3769834169929 & 501.283044338435 \tabularnewline
144 & 284.594669119259 & 64.880411349347 & 504.30892688917 \tabularnewline
145 & 285.359324360804 & 63.3885631943148 & 507.330085527292 \tabularnewline
146 & 286.123979602349 & 61.9012221025708 & 510.346737102126 \tabularnewline
147 & 286.888634843893 & 60.4181801280178 & 513.359089559769 \tabularnewline
148 & 287.653290085438 & 58.9392377493922 & 516.367342421485 \tabularnewline
149 & 288.417945326983 & 57.4642034239868 & 519.37168722998 \tabularnewline
150 & 289.182600568528 & 55.9928931709086 & 522.372307966148 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260833&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]139[/C][C]280.771392911534[/C][C]72.4151892574279[/C][C]489.12759656564[/C][/ROW]
[ROW][C]140[/C][C]281.536048153079[/C][C]70.8973561882966[/C][C]492.174740117861[/C][/ROW]
[ROW][C]141[/C][C]282.300703394624[/C][C]69.3852143218746[/C][C]495.216192467373[/C][/ROW]
[ROW][C]142[/C][C]283.065358636169[/C][C]67.8785056631696[/C][C]498.252211609168[/C][/ROW]
[ROW][C]143[/C][C]283.830013877714[/C][C]66.3769834169929[/C][C]501.283044338435[/C][/ROW]
[ROW][C]144[/C][C]284.594669119259[/C][C]64.880411349347[/C][C]504.30892688917[/C][/ROW]
[ROW][C]145[/C][C]285.359324360804[/C][C]63.3885631943148[/C][C]507.330085527292[/C][/ROW]
[ROW][C]146[/C][C]286.123979602349[/C][C]61.9012221025708[/C][C]510.346737102126[/C][/ROW]
[ROW][C]147[/C][C]286.888634843893[/C][C]60.4181801280178[/C][C]513.359089559769[/C][/ROW]
[ROW][C]148[/C][C]287.653290085438[/C][C]58.9392377493922[/C][C]516.367342421485[/C][/ROW]
[ROW][C]149[/C][C]288.417945326983[/C][C]57.4642034239868[/C][C]519.37168722998[/C][/ROW]
[ROW][C]150[/C][C]289.182600568528[/C][C]55.9928931709086[/C][C]522.372307966148[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260833&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260833&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
139280.77139291153472.4151892574279489.12759656564
140281.53604815307970.8973561882966492.174740117861
141282.30070339462469.3852143218746495.216192467373
142283.06535863616967.8785056631696498.252211609168
143283.83001387771466.3769834169929501.283044338435
144284.59466911925964.880411349347504.30892688917
145285.35932436080463.3885631943148507.330085527292
146286.12397960234961.9012221025708510.346737102126
147286.88863484389360.4181801280178513.359089559769
148287.65329008543858.9392377493922516.367342421485
149288.41794532698357.4642034239868519.37168722998
150289.18260056852855.9928931709086522.372307966148



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