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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationMon, 16 Aug 2010 12:27:24 +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/Aug/16/t1281961613g67yisqcjrmq4uf.htm/, Retrieved Thu, 16 May 2024 06:38:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=78974, Retrieved Thu, 16 May 2024 06:38:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsDe Reu Magali
Estimated Impact99
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [tijdreeks 1 stap 32] [2010-08-16 12:27:24] [07915b1f88a41fb8d82e27c5eaa7bbed] [Current]
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Dataseries X:
333
332
331
329
349
348
333
323
324
324
325
327
329
333
329
333
355
358
338
326
320
322
322
324
326
330
331
333
364
363
341
327
313
321
312
312
312
314
312
319
356
351
329
313
298
303
278
275
276
276
273
287
320
313
281
266
258
259
237
231
237
236
229
243
271
262
227
208
212
222
200
193
204
203
190
209
240
234
210
195
202
204
180
169
178
181
163
174
194
187
160
143
151
154
141
127
134
138
120
129
151
152
124
99
104
109
96
87
94
89
63
76
100
104
80
55
60
71
62
61




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78974&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]1 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=78974&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78974&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 1 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78974&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]1[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78974&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78974&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
33313310
4329330-1
534932821
63483480
7333347-14
8323332-9
93243222
103243231
113253232
123273243
133293263
143333285
15329332-3
163333285
1735533223
183583544
19338357-19
20326337-11
21320325-5
223223193
233223211
243243213
253263233
263303255
273313292
283333303
2936433232
303633630
31341362-21
32327340-13
33313326-13
343213129
35312320-8
363123111
373123111
383143113
39312313-1
403193118
4135631838
42351355-4
43329350-21
44313328-15
45298312-14
463032976
47278302-24
48275277-2
492762742
502762751
51273275-2
5228727215
5332028634
54313319-6
55281312-31
56266280-14
57258265-7
582592572
59237258-21
60231236-5
612372307
622362360
63229235-6
6424322815
6527124229
66262270-8
67227261-34
68208226-18
692122075
7022221111
71200221-21
72193199-6
7320419212
742032030
75190202-12
7620918920
7724020832
78234239-5
79210233-23
80195209-14
812021948
822042013
83180203-23
84169179-10
8517816810
861811774
87163180-17
8817416212
8919417321
90187193-6
91160186-26
92143159-16
931511429
941541504
95141153-12
96127140-13
971341268
981381335
99120137-17
10012911910
10115112823
1021521502
103124151-27
10499123-24
105104986
1061091036
10796108-12
1088795-8
10994868
1108993-4
1116388-25
112766214
1131007525
114104995
11580103-23
1165579-24
11760546
118715912
1196270-8
12061610

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 331 & 331 & 0 \tabularnewline
4 & 329 & 330 & -1 \tabularnewline
5 & 349 & 328 & 21 \tabularnewline
6 & 348 & 348 & 0 \tabularnewline
7 & 333 & 347 & -14 \tabularnewline
8 & 323 & 332 & -9 \tabularnewline
9 & 324 & 322 & 2 \tabularnewline
10 & 324 & 323 & 1 \tabularnewline
11 & 325 & 323 & 2 \tabularnewline
12 & 327 & 324 & 3 \tabularnewline
13 & 329 & 326 & 3 \tabularnewline
14 & 333 & 328 & 5 \tabularnewline
15 & 329 & 332 & -3 \tabularnewline
16 & 333 & 328 & 5 \tabularnewline
17 & 355 & 332 & 23 \tabularnewline
18 & 358 & 354 & 4 \tabularnewline
19 & 338 & 357 & -19 \tabularnewline
20 & 326 & 337 & -11 \tabularnewline
21 & 320 & 325 & -5 \tabularnewline
22 & 322 & 319 & 3 \tabularnewline
23 & 322 & 321 & 1 \tabularnewline
24 & 324 & 321 & 3 \tabularnewline
25 & 326 & 323 & 3 \tabularnewline
26 & 330 & 325 & 5 \tabularnewline
27 & 331 & 329 & 2 \tabularnewline
28 & 333 & 330 & 3 \tabularnewline
29 & 364 & 332 & 32 \tabularnewline
30 & 363 & 363 & 0 \tabularnewline
31 & 341 & 362 & -21 \tabularnewline
32 & 327 & 340 & -13 \tabularnewline
33 & 313 & 326 & -13 \tabularnewline
34 & 321 & 312 & 9 \tabularnewline
35 & 312 & 320 & -8 \tabularnewline
36 & 312 & 311 & 1 \tabularnewline
37 & 312 & 311 & 1 \tabularnewline
38 & 314 & 311 & 3 \tabularnewline
39 & 312 & 313 & -1 \tabularnewline
40 & 319 & 311 & 8 \tabularnewline
41 & 356 & 318 & 38 \tabularnewline
42 & 351 & 355 & -4 \tabularnewline
43 & 329 & 350 & -21 \tabularnewline
44 & 313 & 328 & -15 \tabularnewline
45 & 298 & 312 & -14 \tabularnewline
46 & 303 & 297 & 6 \tabularnewline
47 & 278 & 302 & -24 \tabularnewline
48 & 275 & 277 & -2 \tabularnewline
49 & 276 & 274 & 2 \tabularnewline
50 & 276 & 275 & 1 \tabularnewline
51 & 273 & 275 & -2 \tabularnewline
52 & 287 & 272 & 15 \tabularnewline
53 & 320 & 286 & 34 \tabularnewline
54 & 313 & 319 & -6 \tabularnewline
55 & 281 & 312 & -31 \tabularnewline
56 & 266 & 280 & -14 \tabularnewline
57 & 258 & 265 & -7 \tabularnewline
58 & 259 & 257 & 2 \tabularnewline
59 & 237 & 258 & -21 \tabularnewline
60 & 231 & 236 & -5 \tabularnewline
61 & 237 & 230 & 7 \tabularnewline
62 & 236 & 236 & 0 \tabularnewline
63 & 229 & 235 & -6 \tabularnewline
64 & 243 & 228 & 15 \tabularnewline
65 & 271 & 242 & 29 \tabularnewline
66 & 262 & 270 & -8 \tabularnewline
67 & 227 & 261 & -34 \tabularnewline
68 & 208 & 226 & -18 \tabularnewline
69 & 212 & 207 & 5 \tabularnewline
70 & 222 & 211 & 11 \tabularnewline
71 & 200 & 221 & -21 \tabularnewline
72 & 193 & 199 & -6 \tabularnewline
73 & 204 & 192 & 12 \tabularnewline
74 & 203 & 203 & 0 \tabularnewline
75 & 190 & 202 & -12 \tabularnewline
76 & 209 & 189 & 20 \tabularnewline
77 & 240 & 208 & 32 \tabularnewline
78 & 234 & 239 & -5 \tabularnewline
79 & 210 & 233 & -23 \tabularnewline
80 & 195 & 209 & -14 \tabularnewline
81 & 202 & 194 & 8 \tabularnewline
82 & 204 & 201 & 3 \tabularnewline
83 & 180 & 203 & -23 \tabularnewline
84 & 169 & 179 & -10 \tabularnewline
85 & 178 & 168 & 10 \tabularnewline
86 & 181 & 177 & 4 \tabularnewline
87 & 163 & 180 & -17 \tabularnewline
88 & 174 & 162 & 12 \tabularnewline
89 & 194 & 173 & 21 \tabularnewline
90 & 187 & 193 & -6 \tabularnewline
91 & 160 & 186 & -26 \tabularnewline
92 & 143 & 159 & -16 \tabularnewline
93 & 151 & 142 & 9 \tabularnewline
94 & 154 & 150 & 4 \tabularnewline
95 & 141 & 153 & -12 \tabularnewline
96 & 127 & 140 & -13 \tabularnewline
97 & 134 & 126 & 8 \tabularnewline
98 & 138 & 133 & 5 \tabularnewline
99 & 120 & 137 & -17 \tabularnewline
100 & 129 & 119 & 10 \tabularnewline
101 & 151 & 128 & 23 \tabularnewline
102 & 152 & 150 & 2 \tabularnewline
103 & 124 & 151 & -27 \tabularnewline
104 & 99 & 123 & -24 \tabularnewline
105 & 104 & 98 & 6 \tabularnewline
106 & 109 & 103 & 6 \tabularnewline
107 & 96 & 108 & -12 \tabularnewline
108 & 87 & 95 & -8 \tabularnewline
109 & 94 & 86 & 8 \tabularnewline
110 & 89 & 93 & -4 \tabularnewline
111 & 63 & 88 & -25 \tabularnewline
112 & 76 & 62 & 14 \tabularnewline
113 & 100 & 75 & 25 \tabularnewline
114 & 104 & 99 & 5 \tabularnewline
115 & 80 & 103 & -23 \tabularnewline
116 & 55 & 79 & -24 \tabularnewline
117 & 60 & 54 & 6 \tabularnewline
118 & 71 & 59 & 12 \tabularnewline
119 & 62 & 70 & -8 \tabularnewline
120 & 61 & 61 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78974&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]331[/C][C]331[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]329[/C][C]330[/C][C]-1[/C][/ROW]
[ROW][C]5[/C][C]349[/C][C]328[/C][C]21[/C][/ROW]
[ROW][C]6[/C][C]348[/C][C]348[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]333[/C][C]347[/C][C]-14[/C][/ROW]
[ROW][C]8[/C][C]323[/C][C]332[/C][C]-9[/C][/ROW]
[ROW][C]9[/C][C]324[/C][C]322[/C][C]2[/C][/ROW]
[ROW][C]10[/C][C]324[/C][C]323[/C][C]1[/C][/ROW]
[ROW][C]11[/C][C]325[/C][C]323[/C][C]2[/C][/ROW]
[ROW][C]12[/C][C]327[/C][C]324[/C][C]3[/C][/ROW]
[ROW][C]13[/C][C]329[/C][C]326[/C][C]3[/C][/ROW]
[ROW][C]14[/C][C]333[/C][C]328[/C][C]5[/C][/ROW]
[ROW][C]15[/C][C]329[/C][C]332[/C][C]-3[/C][/ROW]
[ROW][C]16[/C][C]333[/C][C]328[/C][C]5[/C][/ROW]
[ROW][C]17[/C][C]355[/C][C]332[/C][C]23[/C][/ROW]
[ROW][C]18[/C][C]358[/C][C]354[/C][C]4[/C][/ROW]
[ROW][C]19[/C][C]338[/C][C]357[/C][C]-19[/C][/ROW]
[ROW][C]20[/C][C]326[/C][C]337[/C][C]-11[/C][/ROW]
[ROW][C]21[/C][C]320[/C][C]325[/C][C]-5[/C][/ROW]
[ROW][C]22[/C][C]322[/C][C]319[/C][C]3[/C][/ROW]
[ROW][C]23[/C][C]322[/C][C]321[/C][C]1[/C][/ROW]
[ROW][C]24[/C][C]324[/C][C]321[/C][C]3[/C][/ROW]
[ROW][C]25[/C][C]326[/C][C]323[/C][C]3[/C][/ROW]
[ROW][C]26[/C][C]330[/C][C]325[/C][C]5[/C][/ROW]
[ROW][C]27[/C][C]331[/C][C]329[/C][C]2[/C][/ROW]
[ROW][C]28[/C][C]333[/C][C]330[/C][C]3[/C][/ROW]
[ROW][C]29[/C][C]364[/C][C]332[/C][C]32[/C][/ROW]
[ROW][C]30[/C][C]363[/C][C]363[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]341[/C][C]362[/C][C]-21[/C][/ROW]
[ROW][C]32[/C][C]327[/C][C]340[/C][C]-13[/C][/ROW]
[ROW][C]33[/C][C]313[/C][C]326[/C][C]-13[/C][/ROW]
[ROW][C]34[/C][C]321[/C][C]312[/C][C]9[/C][/ROW]
[ROW][C]35[/C][C]312[/C][C]320[/C][C]-8[/C][/ROW]
[ROW][C]36[/C][C]312[/C][C]311[/C][C]1[/C][/ROW]
[ROW][C]37[/C][C]312[/C][C]311[/C][C]1[/C][/ROW]
[ROW][C]38[/C][C]314[/C][C]311[/C][C]3[/C][/ROW]
[ROW][C]39[/C][C]312[/C][C]313[/C][C]-1[/C][/ROW]
[ROW][C]40[/C][C]319[/C][C]311[/C][C]8[/C][/ROW]
[ROW][C]41[/C][C]356[/C][C]318[/C][C]38[/C][/ROW]
[ROW][C]42[/C][C]351[/C][C]355[/C][C]-4[/C][/ROW]
[ROW][C]43[/C][C]329[/C][C]350[/C][C]-21[/C][/ROW]
[ROW][C]44[/C][C]313[/C][C]328[/C][C]-15[/C][/ROW]
[ROW][C]45[/C][C]298[/C][C]312[/C][C]-14[/C][/ROW]
[ROW][C]46[/C][C]303[/C][C]297[/C][C]6[/C][/ROW]
[ROW][C]47[/C][C]278[/C][C]302[/C][C]-24[/C][/ROW]
[ROW][C]48[/C][C]275[/C][C]277[/C][C]-2[/C][/ROW]
[ROW][C]49[/C][C]276[/C][C]274[/C][C]2[/C][/ROW]
[ROW][C]50[/C][C]276[/C][C]275[/C][C]1[/C][/ROW]
[ROW][C]51[/C][C]273[/C][C]275[/C][C]-2[/C][/ROW]
[ROW][C]52[/C][C]287[/C][C]272[/C][C]15[/C][/ROW]
[ROW][C]53[/C][C]320[/C][C]286[/C][C]34[/C][/ROW]
[ROW][C]54[/C][C]313[/C][C]319[/C][C]-6[/C][/ROW]
[ROW][C]55[/C][C]281[/C][C]312[/C][C]-31[/C][/ROW]
[ROW][C]56[/C][C]266[/C][C]280[/C][C]-14[/C][/ROW]
[ROW][C]57[/C][C]258[/C][C]265[/C][C]-7[/C][/ROW]
[ROW][C]58[/C][C]259[/C][C]257[/C][C]2[/C][/ROW]
[ROW][C]59[/C][C]237[/C][C]258[/C][C]-21[/C][/ROW]
[ROW][C]60[/C][C]231[/C][C]236[/C][C]-5[/C][/ROW]
[ROW][C]61[/C][C]237[/C][C]230[/C][C]7[/C][/ROW]
[ROW][C]62[/C][C]236[/C][C]236[/C][C]0[/C][/ROW]
[ROW][C]63[/C][C]229[/C][C]235[/C][C]-6[/C][/ROW]
[ROW][C]64[/C][C]243[/C][C]228[/C][C]15[/C][/ROW]
[ROW][C]65[/C][C]271[/C][C]242[/C][C]29[/C][/ROW]
[ROW][C]66[/C][C]262[/C][C]270[/C][C]-8[/C][/ROW]
[ROW][C]67[/C][C]227[/C][C]261[/C][C]-34[/C][/ROW]
[ROW][C]68[/C][C]208[/C][C]226[/C][C]-18[/C][/ROW]
[ROW][C]69[/C][C]212[/C][C]207[/C][C]5[/C][/ROW]
[ROW][C]70[/C][C]222[/C][C]211[/C][C]11[/C][/ROW]
[ROW][C]71[/C][C]200[/C][C]221[/C][C]-21[/C][/ROW]
[ROW][C]72[/C][C]193[/C][C]199[/C][C]-6[/C][/ROW]
[ROW][C]73[/C][C]204[/C][C]192[/C][C]12[/C][/ROW]
[ROW][C]74[/C][C]203[/C][C]203[/C][C]0[/C][/ROW]
[ROW][C]75[/C][C]190[/C][C]202[/C][C]-12[/C][/ROW]
[ROW][C]76[/C][C]209[/C][C]189[/C][C]20[/C][/ROW]
[ROW][C]77[/C][C]240[/C][C]208[/C][C]32[/C][/ROW]
[ROW][C]78[/C][C]234[/C][C]239[/C][C]-5[/C][/ROW]
[ROW][C]79[/C][C]210[/C][C]233[/C][C]-23[/C][/ROW]
[ROW][C]80[/C][C]195[/C][C]209[/C][C]-14[/C][/ROW]
[ROW][C]81[/C][C]202[/C][C]194[/C][C]8[/C][/ROW]
[ROW][C]82[/C][C]204[/C][C]201[/C][C]3[/C][/ROW]
[ROW][C]83[/C][C]180[/C][C]203[/C][C]-23[/C][/ROW]
[ROW][C]84[/C][C]169[/C][C]179[/C][C]-10[/C][/ROW]
[ROW][C]85[/C][C]178[/C][C]168[/C][C]10[/C][/ROW]
[ROW][C]86[/C][C]181[/C][C]177[/C][C]4[/C][/ROW]
[ROW][C]87[/C][C]163[/C][C]180[/C][C]-17[/C][/ROW]
[ROW][C]88[/C][C]174[/C][C]162[/C][C]12[/C][/ROW]
[ROW][C]89[/C][C]194[/C][C]173[/C][C]21[/C][/ROW]
[ROW][C]90[/C][C]187[/C][C]193[/C][C]-6[/C][/ROW]
[ROW][C]91[/C][C]160[/C][C]186[/C][C]-26[/C][/ROW]
[ROW][C]92[/C][C]143[/C][C]159[/C][C]-16[/C][/ROW]
[ROW][C]93[/C][C]151[/C][C]142[/C][C]9[/C][/ROW]
[ROW][C]94[/C][C]154[/C][C]150[/C][C]4[/C][/ROW]
[ROW][C]95[/C][C]141[/C][C]153[/C][C]-12[/C][/ROW]
[ROW][C]96[/C][C]127[/C][C]140[/C][C]-13[/C][/ROW]
[ROW][C]97[/C][C]134[/C][C]126[/C][C]8[/C][/ROW]
[ROW][C]98[/C][C]138[/C][C]133[/C][C]5[/C][/ROW]
[ROW][C]99[/C][C]120[/C][C]137[/C][C]-17[/C][/ROW]
[ROW][C]100[/C][C]129[/C][C]119[/C][C]10[/C][/ROW]
[ROW][C]101[/C][C]151[/C][C]128[/C][C]23[/C][/ROW]
[ROW][C]102[/C][C]152[/C][C]150[/C][C]2[/C][/ROW]
[ROW][C]103[/C][C]124[/C][C]151[/C][C]-27[/C][/ROW]
[ROW][C]104[/C][C]99[/C][C]123[/C][C]-24[/C][/ROW]
[ROW][C]105[/C][C]104[/C][C]98[/C][C]6[/C][/ROW]
[ROW][C]106[/C][C]109[/C][C]103[/C][C]6[/C][/ROW]
[ROW][C]107[/C][C]96[/C][C]108[/C][C]-12[/C][/ROW]
[ROW][C]108[/C][C]87[/C][C]95[/C][C]-8[/C][/ROW]
[ROW][C]109[/C][C]94[/C][C]86[/C][C]8[/C][/ROW]
[ROW][C]110[/C][C]89[/C][C]93[/C][C]-4[/C][/ROW]
[ROW][C]111[/C][C]63[/C][C]88[/C][C]-25[/C][/ROW]
[ROW][C]112[/C][C]76[/C][C]62[/C][C]14[/C][/ROW]
[ROW][C]113[/C][C]100[/C][C]75[/C][C]25[/C][/ROW]
[ROW][C]114[/C][C]104[/C][C]99[/C][C]5[/C][/ROW]
[ROW][C]115[/C][C]80[/C][C]103[/C][C]-23[/C][/ROW]
[ROW][C]116[/C][C]55[/C][C]79[/C][C]-24[/C][/ROW]
[ROW][C]117[/C][C]60[/C][C]54[/C][C]6[/C][/ROW]
[ROW][C]118[/C][C]71[/C][C]59[/C][C]12[/C][/ROW]
[ROW][C]119[/C][C]62[/C][C]70[/C][C]-8[/C][/ROW]
[ROW][C]120[/C][C]61[/C][C]61[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78974&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78974&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
33313310
4329330-1
534932821
63483480
7333347-14
8323332-9
93243222
103243231
113253232
123273243
133293263
143333285
15329332-3
163333285
1735533223
183583544
19338357-19
20326337-11
21320325-5
223223193
233223211
243243213
253263233
263303255
273313292
283333303
2936433232
303633630
31341362-21
32327340-13
33313326-13
343213129
35312320-8
363123111
373123111
383143113
39312313-1
403193118
4135631838
42351355-4
43329350-21
44313328-15
45298312-14
463032976
47278302-24
48275277-2
492762742
502762751
51273275-2
5228727215
5332028634
54313319-6
55281312-31
56266280-14
57258265-7
582592572
59237258-21
60231236-5
612372307
622362360
63229235-6
6424322815
6527124229
66262270-8
67227261-34
68208226-18
692122075
7022221111
71200221-21
72193199-6
7320419212
742032030
75190202-12
7620918920
7724020832
78234239-5
79210233-23
80195209-14
812021948
822042013
83180203-23
84169179-10
8517816810
861811774
87163180-17
8817416212
8919417321
90187193-6
91160186-26
92143159-16
931511429
941541504
95141153-12
96127140-13
971341268
981381335
99120137-17
10012911910
10115112823
1021521502
103124151-27
10499123-24
105104986
1061091036
10796108-12
1088795-8
10994868
1108993-4
1116388-25
112766214
1131007525
114104995
11580103-23
1165579-24
11760546
118715912
1196270-8
12061610







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1216031.850195659719188.1498043402809
1225919.190164923825898.8098350761742
123589.24310865951067106.756891340489
124570.700391319438289113.299608680562
12556-6.94487605818662118.944876058187
12655-13.9526569928713123.952656992871
12754-20.4773817395098128.477381739510
12853-26.6196701523484132.619670152348
12952-32.4494130208426136.449413020843
13051-38.017497403381140.017497403381
13150-43.3623389186295143.362338918630
13249-48.5137826809787146.513782680979

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
121 & 60 & 31.8501956597191 & 88.1498043402809 \tabularnewline
122 & 59 & 19.1901649238258 & 98.8098350761742 \tabularnewline
123 & 58 & 9.24310865951067 & 106.756891340489 \tabularnewline
124 & 57 & 0.700391319438289 & 113.299608680562 \tabularnewline
125 & 56 & -6.94487605818662 & 118.944876058187 \tabularnewline
126 & 55 & -13.9526569928713 & 123.952656992871 \tabularnewline
127 & 54 & -20.4773817395098 & 128.477381739510 \tabularnewline
128 & 53 & -26.6196701523484 & 132.619670152348 \tabularnewline
129 & 52 & -32.4494130208426 & 136.449413020843 \tabularnewline
130 & 51 & -38.017497403381 & 140.017497403381 \tabularnewline
131 & 50 & -43.3623389186295 & 143.362338918630 \tabularnewline
132 & 49 & -48.5137826809787 & 146.513782680979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=78974&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]121[/C][C]60[/C][C]31.8501956597191[/C][C]88.1498043402809[/C][/ROW]
[ROW][C]122[/C][C]59[/C][C]19.1901649238258[/C][C]98.8098350761742[/C][/ROW]
[ROW][C]123[/C][C]58[/C][C]9.24310865951067[/C][C]106.756891340489[/C][/ROW]
[ROW][C]124[/C][C]57[/C][C]0.700391319438289[/C][C]113.299608680562[/C][/ROW]
[ROW][C]125[/C][C]56[/C][C]-6.94487605818662[/C][C]118.944876058187[/C][/ROW]
[ROW][C]126[/C][C]55[/C][C]-13.9526569928713[/C][C]123.952656992871[/C][/ROW]
[ROW][C]127[/C][C]54[/C][C]-20.4773817395098[/C][C]128.477381739510[/C][/ROW]
[ROW][C]128[/C][C]53[/C][C]-26.6196701523484[/C][C]132.619670152348[/C][/ROW]
[ROW][C]129[/C][C]52[/C][C]-32.4494130208426[/C][C]136.449413020843[/C][/ROW]
[ROW][C]130[/C][C]51[/C][C]-38.017497403381[/C][C]140.017497403381[/C][/ROW]
[ROW][C]131[/C][C]50[/C][C]-43.3623389186295[/C][C]143.362338918630[/C][/ROW]
[ROW][C]132[/C][C]49[/C][C]-48.5137826809787[/C][C]146.513782680979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=78974&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=78974&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
1216031.850195659719188.1498043402809
1225919.190164923825898.8098350761742
123589.24310865951067106.756891340489
124570.700391319438289113.299608680562
12556-6.94487605818662118.944876058187
12655-13.9526569928713123.952656992871
12754-20.4773817395098128.477381739510
12853-26.6196701523484132.619670152348
12952-32.4494130208426136.449413020843
13051-38.017497403381140.017497403381
13150-43.3623389186295143.362338918630
13249-48.5137826809787146.513782680979



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')