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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_arimaforecasting.wasp
Title produced by softwareARIMA Forecasting
Date of computationFri, 11 Dec 2009 09:05:20 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/11/t1260547560esvd3mn32wwuw88.htm/, Retrieved Mon, 29 Apr 2024 02:44:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=66443, Retrieved Mon, 29 Apr 2024 02:44:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Forecasting] [] [2009-12-07 09:54:52] [b98453cac15ba1066b407e146608df68]
-   PD    [ARIMA Forecasting] [WS10] [2009-12-11 16:05:20] [40cfc51151e9382b81a5fb0c269b074d] [Current]
- RMP       [(Partial) Autocorrelation Function] [Verbetering works...] [2009-12-16 13:18:32] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [(Partial) Autocorrelation Function] [Verbetering works...] [2009-12-16 13:24:30] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [(Partial) Autocorrelation Function] [Verbetering works...] [2009-12-16 13:27:46] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [(Partial) Autocorrelation Function] [Verbetering works...] [2009-12-16 13:27:46] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [Variance Reduction Matrix] [Verbetering works...] [2009-12-16 13:31:53] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [Spectral Analysis] [Verbetering works...] [2009-12-16 13:36:44] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [Spectral Analysis] [Verbetering works...] [2009-12-16 13:41:05] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [Standard Deviation-Mean Plot] [Verbetering works...] [2009-12-16 13:43:25] [7c2a5b25a196bd646844b8f5223c9b3e]
- RMP       [ARIMA Backward Selection] [Verbetering works...] [2009-12-16 13:48:49] [7c2a5b25a196bd646844b8f5223c9b3e]
-             [ARIMA Backward Selection] [Workshop 10] [2009-12-30 15:19:22] [90e6802d28d0afa9b030a19cd25ed2b0]
- R P       [ARIMA Forecasting] [Verbetering works...] [2009-12-16 13:53:31] [7c2a5b25a196bd646844b8f5223c9b3e]
-             [ARIMA Forecasting] [Workshop9] [2009-12-30 14:38:50] [90e6802d28d0afa9b030a19cd25ed2b0]
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Dataseries X:
286602
283042
276687
277915
277128
277103
275037
270150
267140
264993
287259
291186
292300
288186
281477
282656
280190
280408
276836
275216
274352
271311
289802
290726
292300
278506
269826
265861
269034
264176
255198
253353
246057
235372
258556
260993
254663
250643
243422
247105
248541
245039
237080
237085
225554
226839
247934
248333
246969
245098
246263
255765
264319
268347
273046
273963
267430
271993
292710
295881
293299




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66443&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66443&T=0

As an alternative you can also use a QR Code:  

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

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







Univariate ARIMA Extrapolation Forecast
timeY[t]F[t]95% LB95% UBp-value(H0: Y[t] = F[t])P(F[t]>Y[t-1])P(F[t]>Y[t-s])P(F[t]>Y[33])
21274352-------
22271311-------
23289802-------
24290726-------
25292300-------
26278506-------
27269826-------
28265861-------
29269034-------
30264176-------
31255198-------
32253353-------
33246057-------
34235372250718.8679238946.2392262491.49660.00530.78123e-040.7812
35258556251444.3868233475.0347269413.73890.2190.960200.7216
36260993252858.2519228423.4099277293.0940.2570.32380.00120.7073
37254663254804.5182227420.8425282188.1940.4960.32890.00360.7344
38250643255574.1298226751.0785284397.1810.36870.52470.05950.7412
39243422255592.7685225169.4618286016.07510.21650.62510.17960.7305
40247105255845.3132223680.154288010.47240.29720.77550.27080.7246
41248541256223.9897222680.2249289767.75450.32670.70290.22710.7238
42245039256346.8461221652.7247291040.96750.26150.67040.32910.7195
43237080256327.231220462.4566292192.00530.14640.73130.52460.7127
44237085256374.3155219336.9551293411.67590.15370.84640.56350.7075
45225554256449.1053218324.5665294573.64410.05610.84030.70340.7034
46226839256467.5838217315.3193295619.84840.0690.93910.85450.6989
47247934256459.3304216291.6887296626.9720.33870.92580.45930.6941
48248333256468.5685215303.244297633.89290.34920.65780.41470.69
49246969256483.5301214354.0369298613.02330.3290.64770.53370.6862
50245098256485.9987213419.0267299552.97080.30210.66750.60480.6825
51246263256483.5428212495.7904300471.29510.32440.6940.71970.6789
52255765256485.4539211594.4246301376.48320.48750.67230.65890.6756
53264319256488.4776210714.046302262.90920.36870.51240.63320.6724
54268347256488.7181209848.5076303128.92870.30910.37110.68480.6694
55273046256488.0774208997.1174303979.03730.24720.31230.78840.6666
56273963256488.4921208161.5043304815.47980.23930.25090.78430.6639
57267430256489.1076207340.744305637.47120.33130.24290.89130.6613
58271993256489.1024206533.0206306445.18420.27150.33390.87760.6588
59292710256488.9466205737.8308307240.06240.08090.27470.62940.6565
60295881256489.0401204955.1095308022.97070.0670.08420.62180.6542
61293299256489.1659204184.2272308794.10470.08390.070.63940.6521

\begin{tabular}{lllllllll}
\hline
Univariate ARIMA Extrapolation Forecast \tabularnewline
time & Y[t] & F[t] & 95% LB & 95% UB & p-value(H0: Y[t] = F[t]) & P(F[t]>Y[t-1]) & P(F[t]>Y[t-s]) & P(F[t]>Y[33]) \tabularnewline
21 & 274352 & - & - & - & - & - & - & - \tabularnewline
22 & 271311 & - & - & - & - & - & - & - \tabularnewline
23 & 289802 & - & - & - & - & - & - & - \tabularnewline
24 & 290726 & - & - & - & - & - & - & - \tabularnewline
25 & 292300 & - & - & - & - & - & - & - \tabularnewline
26 & 278506 & - & - & - & - & - & - & - \tabularnewline
27 & 269826 & - & - & - & - & - & - & - \tabularnewline
28 & 265861 & - & - & - & - & - & - & - \tabularnewline
29 & 269034 & - & - & - & - & - & - & - \tabularnewline
30 & 264176 & - & - & - & - & - & - & - \tabularnewline
31 & 255198 & - & - & - & - & - & - & - \tabularnewline
32 & 253353 & - & - & - & - & - & - & - \tabularnewline
33 & 246057 & - & - & - & - & - & - & - \tabularnewline
34 & 235372 & 250718.8679 & 238946.2392 & 262491.4966 & 0.0053 & 0.7812 & 3e-04 & 0.7812 \tabularnewline
35 & 258556 & 251444.3868 & 233475.0347 & 269413.7389 & 0.219 & 0.9602 & 0 & 0.7216 \tabularnewline
36 & 260993 & 252858.2519 & 228423.4099 & 277293.094 & 0.257 & 0.3238 & 0.0012 & 0.7073 \tabularnewline
37 & 254663 & 254804.5182 & 227420.8425 & 282188.194 & 0.496 & 0.3289 & 0.0036 & 0.7344 \tabularnewline
38 & 250643 & 255574.1298 & 226751.0785 & 284397.181 & 0.3687 & 0.5247 & 0.0595 & 0.7412 \tabularnewline
39 & 243422 & 255592.7685 & 225169.4618 & 286016.0751 & 0.2165 & 0.6251 & 0.1796 & 0.7305 \tabularnewline
40 & 247105 & 255845.3132 & 223680.154 & 288010.4724 & 0.2972 & 0.7755 & 0.2708 & 0.7246 \tabularnewline
41 & 248541 & 256223.9897 & 222680.2249 & 289767.7545 & 0.3267 & 0.7029 & 0.2271 & 0.7238 \tabularnewline
42 & 245039 & 256346.8461 & 221652.7247 & 291040.9675 & 0.2615 & 0.6704 & 0.3291 & 0.7195 \tabularnewline
43 & 237080 & 256327.231 & 220462.4566 & 292192.0053 & 0.1464 & 0.7313 & 0.5246 & 0.7127 \tabularnewline
44 & 237085 & 256374.3155 & 219336.9551 & 293411.6759 & 0.1537 & 0.8464 & 0.5635 & 0.7075 \tabularnewline
45 & 225554 & 256449.1053 & 218324.5665 & 294573.6441 & 0.0561 & 0.8403 & 0.7034 & 0.7034 \tabularnewline
46 & 226839 & 256467.5838 & 217315.3193 & 295619.8484 & 0.069 & 0.9391 & 0.8545 & 0.6989 \tabularnewline
47 & 247934 & 256459.3304 & 216291.6887 & 296626.972 & 0.3387 & 0.9258 & 0.4593 & 0.6941 \tabularnewline
48 & 248333 & 256468.5685 & 215303.244 & 297633.8929 & 0.3492 & 0.6578 & 0.4147 & 0.69 \tabularnewline
49 & 246969 & 256483.5301 & 214354.0369 & 298613.0233 & 0.329 & 0.6477 & 0.5337 & 0.6862 \tabularnewline
50 & 245098 & 256485.9987 & 213419.0267 & 299552.9708 & 0.3021 & 0.6675 & 0.6048 & 0.6825 \tabularnewline
51 & 246263 & 256483.5428 & 212495.7904 & 300471.2951 & 0.3244 & 0.694 & 0.7197 & 0.6789 \tabularnewline
52 & 255765 & 256485.4539 & 211594.4246 & 301376.4832 & 0.4875 & 0.6723 & 0.6589 & 0.6756 \tabularnewline
53 & 264319 & 256488.4776 & 210714.046 & 302262.9092 & 0.3687 & 0.5124 & 0.6332 & 0.6724 \tabularnewline
54 & 268347 & 256488.7181 & 209848.5076 & 303128.9287 & 0.3091 & 0.3711 & 0.6848 & 0.6694 \tabularnewline
55 & 273046 & 256488.0774 & 208997.1174 & 303979.0373 & 0.2472 & 0.3123 & 0.7884 & 0.6666 \tabularnewline
56 & 273963 & 256488.4921 & 208161.5043 & 304815.4798 & 0.2393 & 0.2509 & 0.7843 & 0.6639 \tabularnewline
57 & 267430 & 256489.1076 & 207340.744 & 305637.4712 & 0.3313 & 0.2429 & 0.8913 & 0.6613 \tabularnewline
58 & 271993 & 256489.1024 & 206533.0206 & 306445.1842 & 0.2715 & 0.3339 & 0.8776 & 0.6588 \tabularnewline
59 & 292710 & 256488.9466 & 205737.8308 & 307240.0624 & 0.0809 & 0.2747 & 0.6294 & 0.6565 \tabularnewline
60 & 295881 & 256489.0401 & 204955.1095 & 308022.9707 & 0.067 & 0.0842 & 0.6218 & 0.6542 \tabularnewline
61 & 293299 & 256489.1659 & 204184.2272 & 308794.1047 & 0.0839 & 0.07 & 0.6394 & 0.6521 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66443&T=1

[TABLE]
[ROW][C]Univariate ARIMA Extrapolation Forecast[/C][/ROW]
[ROW][C]time[/C][C]Y[t][/C][C]F[t][/C][C]95% LB[/C][C]95% UB[/C][C]p-value(H0: Y[t] = F[t])[/C][C]P(F[t]>Y[t-1])[/C][C]P(F[t]>Y[t-s])[/C][C]P(F[t]>Y[33])[/C][/ROW]
[ROW][C]21[/C][C]274352[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]22[/C][C]271311[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]23[/C][C]289802[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]24[/C][C]290726[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]25[/C][C]292300[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]26[/C][C]278506[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]27[/C][C]269826[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]28[/C][C]265861[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]29[/C][C]269034[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]30[/C][C]264176[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]31[/C][C]255198[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]32[/C][C]253353[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]33[/C][C]246057[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][C]-[/C][/ROW]
[ROW][C]34[/C][C]235372[/C][C]250718.8679[/C][C]238946.2392[/C][C]262491.4966[/C][C]0.0053[/C][C]0.7812[/C][C]3e-04[/C][C]0.7812[/C][/ROW]
[ROW][C]35[/C][C]258556[/C][C]251444.3868[/C][C]233475.0347[/C][C]269413.7389[/C][C]0.219[/C][C]0.9602[/C][C]0[/C][C]0.7216[/C][/ROW]
[ROW][C]36[/C][C]260993[/C][C]252858.2519[/C][C]228423.4099[/C][C]277293.094[/C][C]0.257[/C][C]0.3238[/C][C]0.0012[/C][C]0.7073[/C][/ROW]
[ROW][C]37[/C][C]254663[/C][C]254804.5182[/C][C]227420.8425[/C][C]282188.194[/C][C]0.496[/C][C]0.3289[/C][C]0.0036[/C][C]0.7344[/C][/ROW]
[ROW][C]38[/C][C]250643[/C][C]255574.1298[/C][C]226751.0785[/C][C]284397.181[/C][C]0.3687[/C][C]0.5247[/C][C]0.0595[/C][C]0.7412[/C][/ROW]
[ROW][C]39[/C][C]243422[/C][C]255592.7685[/C][C]225169.4618[/C][C]286016.0751[/C][C]0.2165[/C][C]0.6251[/C][C]0.1796[/C][C]0.7305[/C][/ROW]
[ROW][C]40[/C][C]247105[/C][C]255845.3132[/C][C]223680.154[/C][C]288010.4724[/C][C]0.2972[/C][C]0.7755[/C][C]0.2708[/C][C]0.7246[/C][/ROW]
[ROW][C]41[/C][C]248541[/C][C]256223.9897[/C][C]222680.2249[/C][C]289767.7545[/C][C]0.3267[/C][C]0.7029[/C][C]0.2271[/C][C]0.7238[/C][/ROW]
[ROW][C]42[/C][C]245039[/C][C]256346.8461[/C][C]221652.7247[/C][C]291040.9675[/C][C]0.2615[/C][C]0.6704[/C][C]0.3291[/C][C]0.7195[/C][/ROW]
[ROW][C]43[/C][C]237080[/C][C]256327.231[/C][C]220462.4566[/C][C]292192.0053[/C][C]0.1464[/C][C]0.7313[/C][C]0.5246[/C][C]0.7127[/C][/ROW]
[ROW][C]44[/C][C]237085[/C][C]256374.3155[/C][C]219336.9551[/C][C]293411.6759[/C][C]0.1537[/C][C]0.8464[/C][C]0.5635[/C][C]0.7075[/C][/ROW]
[ROW][C]45[/C][C]225554[/C][C]256449.1053[/C][C]218324.5665[/C][C]294573.6441[/C][C]0.0561[/C][C]0.8403[/C][C]0.7034[/C][C]0.7034[/C][/ROW]
[ROW][C]46[/C][C]226839[/C][C]256467.5838[/C][C]217315.3193[/C][C]295619.8484[/C][C]0.069[/C][C]0.9391[/C][C]0.8545[/C][C]0.6989[/C][/ROW]
[ROW][C]47[/C][C]247934[/C][C]256459.3304[/C][C]216291.6887[/C][C]296626.972[/C][C]0.3387[/C][C]0.9258[/C][C]0.4593[/C][C]0.6941[/C][/ROW]
[ROW][C]48[/C][C]248333[/C][C]256468.5685[/C][C]215303.244[/C][C]297633.8929[/C][C]0.3492[/C][C]0.6578[/C][C]0.4147[/C][C]0.69[/C][/ROW]
[ROW][C]49[/C][C]246969[/C][C]256483.5301[/C][C]214354.0369[/C][C]298613.0233[/C][C]0.329[/C][C]0.6477[/C][C]0.5337[/C][C]0.6862[/C][/ROW]
[ROW][C]50[/C][C]245098[/C][C]256485.9987[/C][C]213419.0267[/C][C]299552.9708[/C][C]0.3021[/C][C]0.6675[/C][C]0.6048[/C][C]0.6825[/C][/ROW]
[ROW][C]51[/C][C]246263[/C][C]256483.5428[/C][C]212495.7904[/C][C]300471.2951[/C][C]0.3244[/C][C]0.694[/C][C]0.7197[/C][C]0.6789[/C][/ROW]
[ROW][C]52[/C][C]255765[/C][C]256485.4539[/C][C]211594.4246[/C][C]301376.4832[/C][C]0.4875[/C][C]0.6723[/C][C]0.6589[/C][C]0.6756[/C][/ROW]
[ROW][C]53[/C][C]264319[/C][C]256488.4776[/C][C]210714.046[/C][C]302262.9092[/C][C]0.3687[/C][C]0.5124[/C][C]0.6332[/C][C]0.6724[/C][/ROW]
[ROW][C]54[/C][C]268347[/C][C]256488.7181[/C][C]209848.5076[/C][C]303128.9287[/C][C]0.3091[/C][C]0.3711[/C][C]0.6848[/C][C]0.6694[/C][/ROW]
[ROW][C]55[/C][C]273046[/C][C]256488.0774[/C][C]208997.1174[/C][C]303979.0373[/C][C]0.2472[/C][C]0.3123[/C][C]0.7884[/C][C]0.6666[/C][/ROW]
[ROW][C]56[/C][C]273963[/C][C]256488.4921[/C][C]208161.5043[/C][C]304815.4798[/C][C]0.2393[/C][C]0.2509[/C][C]0.7843[/C][C]0.6639[/C][/ROW]
[ROW][C]57[/C][C]267430[/C][C]256489.1076[/C][C]207340.744[/C][C]305637.4712[/C][C]0.3313[/C][C]0.2429[/C][C]0.8913[/C][C]0.6613[/C][/ROW]
[ROW][C]58[/C][C]271993[/C][C]256489.1024[/C][C]206533.0206[/C][C]306445.1842[/C][C]0.2715[/C][C]0.3339[/C][C]0.8776[/C][C]0.6588[/C][/ROW]
[ROW][C]59[/C][C]292710[/C][C]256488.9466[/C][C]205737.8308[/C][C]307240.0624[/C][C]0.0809[/C][C]0.2747[/C][C]0.6294[/C][C]0.6565[/C][/ROW]
[ROW][C]60[/C][C]295881[/C][C]256489.0401[/C][C]204955.1095[/C][C]308022.9707[/C][C]0.067[/C][C]0.0842[/C][C]0.6218[/C][C]0.6542[/C][/ROW]
[ROW][C]61[/C][C]293299[/C][C]256489.1659[/C][C]204184.2272[/C][C]308794.1047[/C][C]0.0839[/C][C]0.07[/C][C]0.6394[/C][C]0.6521[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66443&T=1

As an alternative you can also use a QR Code:  

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

Univariate ARIMA Extrapolation Forecast
timeY[t]F[t]95% LB95% UBp-value(H0: Y[t] = F[t])P(F[t]>Y[t-1])P(F[t]>Y[t-s])P(F[t]>Y[33])
21274352-------
22271311-------
23289802-------
24290726-------
25292300-------
26278506-------
27269826-------
28265861-------
29269034-------
30264176-------
31255198-------
32253353-------
33246057-------
34235372250718.8679238946.2392262491.49660.00530.78123e-040.7812
35258556251444.3868233475.0347269413.73890.2190.960200.7216
36260993252858.2519228423.4099277293.0940.2570.32380.00120.7073
37254663254804.5182227420.8425282188.1940.4960.32890.00360.7344
38250643255574.1298226751.0785284397.1810.36870.52470.05950.7412
39243422255592.7685225169.4618286016.07510.21650.62510.17960.7305
40247105255845.3132223680.154288010.47240.29720.77550.27080.7246
41248541256223.9897222680.2249289767.75450.32670.70290.22710.7238
42245039256346.8461221652.7247291040.96750.26150.67040.32910.7195
43237080256327.231220462.4566292192.00530.14640.73130.52460.7127
44237085256374.3155219336.9551293411.67590.15370.84640.56350.7075
45225554256449.1053218324.5665294573.64410.05610.84030.70340.7034
46226839256467.5838217315.3193295619.84840.0690.93910.85450.6989
47247934256459.3304216291.6887296626.9720.33870.92580.45930.6941
48248333256468.5685215303.244297633.89290.34920.65780.41470.69
49246969256483.5301214354.0369298613.02330.3290.64770.53370.6862
50245098256485.9987213419.0267299552.97080.30210.66750.60480.6825
51246263256483.5428212495.7904300471.29510.32440.6940.71970.6789
52255765256485.4539211594.4246301376.48320.48750.67230.65890.6756
53264319256488.4776210714.046302262.90920.36870.51240.63320.6724
54268347256488.7181209848.5076303128.92870.30910.37110.68480.6694
55273046256488.0774208997.1174303979.03730.24720.31230.78840.6666
56273963256488.4921208161.5043304815.47980.23930.25090.78430.6639
57267430256489.1076207340.744305637.47120.33130.24290.89130.6613
58271993256489.1024206533.0206306445.18420.27150.33390.87760.6588
59292710256488.9466205737.8308307240.06240.08090.27470.62940.6565
60295881256489.0401204955.1095308022.97070.0670.08420.62180.6542
61293299256489.1659204184.2272308794.10470.08390.070.63940.6521







Univariate ARIMA Extrapolation Forecast Performance
time% S.E.PEMAPESq.EMSERMSE
340.024-0.06120235526353.45900
350.03650.02830.044750575042.738143050698.098511960.3803
360.04930.03220.040666174126.2025117425174.133110836.2897
370.0548-6e-040.030620027.405188073887.45119384.7689
380.0575-0.01930.028324316040.625675322318.0868678.8431
390.0607-0.04760.0315148127604.703187456532.52229351.8197
400.0641-0.03420.031976393075.386985876038.64579266.9325
410.0668-0.030.031759028330.824882520075.16819084.0561
420.0691-0.04410.033127867383.384787558664.979357.2787
430.0714-0.07510.0372370455900.4964115848388.522610763.2889
440.0737-0.07520.0407372077692.9879139141961.655811795.8451
450.0758-0.12050.0473954507531.4424207089092.471414390.5904
460.0779-0.11550.0526877852980.9054258686314.658616083.7283
470.0799-0.03320.051272681258.2701245400239.202315665.2558
480.0819-0.03170.049966187474.1963233452721.535215279.1597
490.0838-0.03710.049190526283.2824224519819.144414983.9854
500.0857-0.04440.0488129686515.2729218941389.504914796.6682
510.0875-0.03980.0483104459494.118212581284.205614580.1675
520.0893-0.00280.0459519053.8449201420114.186614192.2554
530.09110.03050.045261317080.9745194414962.52613943.2766
540.09280.04620.0452140618848.6139191853242.815913851.1098
550.09450.06460.0461274164802.3399195594677.339813985.5167
560.09610.06810.0471305358427.1478200367014.287914155.1056
570.09780.04270.0469119703125.7093197006018.930514035.8833
580.09940.06040.0474240370840.17198740611.780114097.5392
590.1010.14120.0511311964707.0683241556923.137315542.1016
600.10250.15360.05481551726507.7359290081722.566917031.7857
610.1040.14350.0581354963884.4213328113228.347418113.896

\begin{tabular}{lllllllll}
\hline
Univariate ARIMA Extrapolation Forecast Performance \tabularnewline
time & % S.E. & PE & MAPE & Sq.E & MSE & RMSE \tabularnewline
34 & 0.024 & -0.0612 & 0 & 235526353.459 & 0 & 0 \tabularnewline
35 & 0.0365 & 0.0283 & 0.0447 & 50575042.738 & 143050698.0985 & 11960.3803 \tabularnewline
36 & 0.0493 & 0.0322 & 0.0406 & 66174126.2025 & 117425174.1331 & 10836.2897 \tabularnewline
37 & 0.0548 & -6e-04 & 0.0306 & 20027.4051 & 88073887.4511 & 9384.7689 \tabularnewline
38 & 0.0575 & -0.0193 & 0.0283 & 24316040.6256 & 75322318.086 & 8678.8431 \tabularnewline
39 & 0.0607 & -0.0476 & 0.0315 & 148127604.7031 & 87456532.5222 & 9351.8197 \tabularnewline
40 & 0.0641 & -0.0342 & 0.0319 & 76393075.3869 & 85876038.6457 & 9266.9325 \tabularnewline
41 & 0.0668 & -0.03 & 0.0317 & 59028330.8248 & 82520075.1681 & 9084.0561 \tabularnewline
42 & 0.0691 & -0.0441 & 0.033 & 127867383.3847 & 87558664.97 & 9357.2787 \tabularnewline
43 & 0.0714 & -0.0751 & 0.0372 & 370455900.4964 & 115848388.5226 & 10763.2889 \tabularnewline
44 & 0.0737 & -0.0752 & 0.0407 & 372077692.9879 & 139141961.6558 & 11795.8451 \tabularnewline
45 & 0.0758 & -0.1205 & 0.0473 & 954507531.4424 & 207089092.4714 & 14390.5904 \tabularnewline
46 & 0.0779 & -0.1155 & 0.0526 & 877852980.9054 & 258686314.6586 & 16083.7283 \tabularnewline
47 & 0.0799 & -0.0332 & 0.0512 & 72681258.2701 & 245400239.2023 & 15665.2558 \tabularnewline
48 & 0.0819 & -0.0317 & 0.0499 & 66187474.1963 & 233452721.5352 & 15279.1597 \tabularnewline
49 & 0.0838 & -0.0371 & 0.0491 & 90526283.2824 & 224519819.1444 & 14983.9854 \tabularnewline
50 & 0.0857 & -0.0444 & 0.0488 & 129686515.2729 & 218941389.5049 & 14796.6682 \tabularnewline
51 & 0.0875 & -0.0398 & 0.0483 & 104459494.118 & 212581284.2056 & 14580.1675 \tabularnewline
52 & 0.0893 & -0.0028 & 0.0459 & 519053.8449 & 201420114.1866 & 14192.2554 \tabularnewline
53 & 0.0911 & 0.0305 & 0.0452 & 61317080.9745 & 194414962.526 & 13943.2766 \tabularnewline
54 & 0.0928 & 0.0462 & 0.0452 & 140618848.6139 & 191853242.8159 & 13851.1098 \tabularnewline
55 & 0.0945 & 0.0646 & 0.0461 & 274164802.3399 & 195594677.3398 & 13985.5167 \tabularnewline
56 & 0.0961 & 0.0681 & 0.0471 & 305358427.1478 & 200367014.2879 & 14155.1056 \tabularnewline
57 & 0.0978 & 0.0427 & 0.0469 & 119703125.7093 & 197006018.9305 & 14035.8833 \tabularnewline
58 & 0.0994 & 0.0604 & 0.0474 & 240370840.17 & 198740611.7801 & 14097.5392 \tabularnewline
59 & 0.101 & 0.1412 & 0.051 & 1311964707.0683 & 241556923.1373 & 15542.1016 \tabularnewline
60 & 0.1025 & 0.1536 & 0.0548 & 1551726507.7359 & 290081722.5669 & 17031.7857 \tabularnewline
61 & 0.104 & 0.1435 & 0.058 & 1354963884.4213 & 328113228.3474 & 18113.896 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=66443&T=2

[TABLE]
[ROW][C]Univariate ARIMA Extrapolation Forecast Performance[/C][/ROW]
[ROW][C]time[/C][C]% S.E.[/C][C]PE[/C][C]MAPE[/C][C]Sq.E[/C][C]MSE[/C][C]RMSE[/C][/ROW]
[ROW][C]34[/C][C]0.024[/C][C]-0.0612[/C][C]0[/C][C]235526353.459[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]35[/C][C]0.0365[/C][C]0.0283[/C][C]0.0447[/C][C]50575042.738[/C][C]143050698.0985[/C][C]11960.3803[/C][/ROW]
[ROW][C]36[/C][C]0.0493[/C][C]0.0322[/C][C]0.0406[/C][C]66174126.2025[/C][C]117425174.1331[/C][C]10836.2897[/C][/ROW]
[ROW][C]37[/C][C]0.0548[/C][C]-6e-04[/C][C]0.0306[/C][C]20027.4051[/C][C]88073887.4511[/C][C]9384.7689[/C][/ROW]
[ROW][C]38[/C][C]0.0575[/C][C]-0.0193[/C][C]0.0283[/C][C]24316040.6256[/C][C]75322318.086[/C][C]8678.8431[/C][/ROW]
[ROW][C]39[/C][C]0.0607[/C][C]-0.0476[/C][C]0.0315[/C][C]148127604.7031[/C][C]87456532.5222[/C][C]9351.8197[/C][/ROW]
[ROW][C]40[/C][C]0.0641[/C][C]-0.0342[/C][C]0.0319[/C][C]76393075.3869[/C][C]85876038.6457[/C][C]9266.9325[/C][/ROW]
[ROW][C]41[/C][C]0.0668[/C][C]-0.03[/C][C]0.0317[/C][C]59028330.8248[/C][C]82520075.1681[/C][C]9084.0561[/C][/ROW]
[ROW][C]42[/C][C]0.0691[/C][C]-0.0441[/C][C]0.033[/C][C]127867383.3847[/C][C]87558664.97[/C][C]9357.2787[/C][/ROW]
[ROW][C]43[/C][C]0.0714[/C][C]-0.0751[/C][C]0.0372[/C][C]370455900.4964[/C][C]115848388.5226[/C][C]10763.2889[/C][/ROW]
[ROW][C]44[/C][C]0.0737[/C][C]-0.0752[/C][C]0.0407[/C][C]372077692.9879[/C][C]139141961.6558[/C][C]11795.8451[/C][/ROW]
[ROW][C]45[/C][C]0.0758[/C][C]-0.1205[/C][C]0.0473[/C][C]954507531.4424[/C][C]207089092.4714[/C][C]14390.5904[/C][/ROW]
[ROW][C]46[/C][C]0.0779[/C][C]-0.1155[/C][C]0.0526[/C][C]877852980.9054[/C][C]258686314.6586[/C][C]16083.7283[/C][/ROW]
[ROW][C]47[/C][C]0.0799[/C][C]-0.0332[/C][C]0.0512[/C][C]72681258.2701[/C][C]245400239.2023[/C][C]15665.2558[/C][/ROW]
[ROW][C]48[/C][C]0.0819[/C][C]-0.0317[/C][C]0.0499[/C][C]66187474.1963[/C][C]233452721.5352[/C][C]15279.1597[/C][/ROW]
[ROW][C]49[/C][C]0.0838[/C][C]-0.0371[/C][C]0.0491[/C][C]90526283.2824[/C][C]224519819.1444[/C][C]14983.9854[/C][/ROW]
[ROW][C]50[/C][C]0.0857[/C][C]-0.0444[/C][C]0.0488[/C][C]129686515.2729[/C][C]218941389.5049[/C][C]14796.6682[/C][/ROW]
[ROW][C]51[/C][C]0.0875[/C][C]-0.0398[/C][C]0.0483[/C][C]104459494.118[/C][C]212581284.2056[/C][C]14580.1675[/C][/ROW]
[ROW][C]52[/C][C]0.0893[/C][C]-0.0028[/C][C]0.0459[/C][C]519053.8449[/C][C]201420114.1866[/C][C]14192.2554[/C][/ROW]
[ROW][C]53[/C][C]0.0911[/C][C]0.0305[/C][C]0.0452[/C][C]61317080.9745[/C][C]194414962.526[/C][C]13943.2766[/C][/ROW]
[ROW][C]54[/C][C]0.0928[/C][C]0.0462[/C][C]0.0452[/C][C]140618848.6139[/C][C]191853242.8159[/C][C]13851.1098[/C][/ROW]
[ROW][C]55[/C][C]0.0945[/C][C]0.0646[/C][C]0.0461[/C][C]274164802.3399[/C][C]195594677.3398[/C][C]13985.5167[/C][/ROW]
[ROW][C]56[/C][C]0.0961[/C][C]0.0681[/C][C]0.0471[/C][C]305358427.1478[/C][C]200367014.2879[/C][C]14155.1056[/C][/ROW]
[ROW][C]57[/C][C]0.0978[/C][C]0.0427[/C][C]0.0469[/C][C]119703125.7093[/C][C]197006018.9305[/C][C]14035.8833[/C][/ROW]
[ROW][C]58[/C][C]0.0994[/C][C]0.0604[/C][C]0.0474[/C][C]240370840.17[/C][C]198740611.7801[/C][C]14097.5392[/C][/ROW]
[ROW][C]59[/C][C]0.101[/C][C]0.1412[/C][C]0.051[/C][C]1311964707.0683[/C][C]241556923.1373[/C][C]15542.1016[/C][/ROW]
[ROW][C]60[/C][C]0.1025[/C][C]0.1536[/C][C]0.0548[/C][C]1551726507.7359[/C][C]290081722.5669[/C][C]17031.7857[/C][/ROW]
[ROW][C]61[/C][C]0.104[/C][C]0.1435[/C][C]0.058[/C][C]1354963884.4213[/C][C]328113228.3474[/C][C]18113.896[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=66443&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=66443&T=2

As an alternative you can also use a QR Code:  

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

Univariate ARIMA Extrapolation Forecast Performance
time% S.E.PEMAPESq.EMSERMSE
340.024-0.06120235526353.45900
350.03650.02830.044750575042.738143050698.098511960.3803
360.04930.03220.040666174126.2025117425174.133110836.2897
370.0548-6e-040.030620027.405188073887.45119384.7689
380.0575-0.01930.028324316040.625675322318.0868678.8431
390.0607-0.04760.0315148127604.703187456532.52229351.8197
400.0641-0.03420.031976393075.386985876038.64579266.9325
410.0668-0.030.031759028330.824882520075.16819084.0561
420.0691-0.04410.033127867383.384787558664.979357.2787
430.0714-0.07510.0372370455900.4964115848388.522610763.2889
440.0737-0.07520.0407372077692.9879139141961.655811795.8451
450.0758-0.12050.0473954507531.4424207089092.471414390.5904
460.0779-0.11550.0526877852980.9054258686314.658616083.7283
470.0799-0.03320.051272681258.2701245400239.202315665.2558
480.0819-0.03170.049966187474.1963233452721.535215279.1597
490.0838-0.03710.049190526283.2824224519819.144414983.9854
500.0857-0.04440.0488129686515.2729218941389.504914796.6682
510.0875-0.03980.0483104459494.118212581284.205614580.1675
520.0893-0.00280.0459519053.8449201420114.186614192.2554
530.09110.03050.045261317080.9745194414962.52613943.2766
540.09280.04620.0452140618848.6139191853242.815913851.1098
550.09450.06460.0461274164802.3399195594677.339813985.5167
560.09610.06810.0471305358427.1478200367014.287914155.1056
570.09780.04270.0469119703125.7093197006018.930514035.8833
580.09940.06040.0474240370840.17198740611.780114097.5392
590.1010.14120.0511311964707.0683241556923.137315542.1016
600.10250.15360.05481551726507.7359290081722.566917031.7857
610.1040.14350.0581354963884.4213328113228.347418113.896



Parameters (Session):
par1 = 24 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 0 ; par7 = 0 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
Parameters (R input):
par1 = 24 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 0 ; par7 = 0 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #cut off periods
par1 <- 28
par2 <- as.numeric(par2) #lambda
par3 <- as.numeric(par3) #degree of non-seasonal differencing
par4 <- as.numeric(par4) #degree of seasonal differencing
par5 <- as.numeric(par5) #seasonal period
par6 <- as.numeric(par6) #p
par6 <- 3
par7 <- as.numeric(par7) #q
par7 <- 3
par8 <- as.numeric(par8) #P
par9 <- as.numeric(par9) #Q
if (par10 == 'TRUE') par10 <- TRUE
if (par10 == 'FALSE') par10 <- FALSE
if (par2 == 0) x <- log(x)
if (par2 != 0) x <- x^par2
lx <- length(x)
first <- lx - 2*par1
nx <- lx - par1
nx1 <- nx + 1
fx <- lx - nx
if (fx < 1) {
fx <- par5
nx1 <- lx + fx - 1
first <- lx - 2*fx
}
first <- 1
if (fx < 3) fx <- round(lx/10,0)
(arima.out <- arima(x[1:nx], order=c(par6,par3,par7), seasonal=list(order=c(par8,par4,par9), period=par5), include.mean=par10, method='ML'))
(forecast <- predict(arima.out,par1))
(lb <- forecast$pred - 1.96 * forecast$se)
(ub <- forecast$pred + 1.96 * forecast$se)
if (par2 == 0) {
x <- exp(x)
forecast$pred <- exp(forecast$pred)
lb <- exp(lb)
ub <- exp(ub)
}
if (par2 != 0) {
x <- x^(1/par2)
forecast$pred <- forecast$pred^(1/par2)
lb <- lb^(1/par2)
ub <- ub^(1/par2)
}
if (par2 < 0) {
olb <- lb
lb <- ub
ub <- olb
}
(actandfor <- c(x[1:nx], forecast$pred))
(perc.se <- (ub-forecast$pred)/1.96/forecast$pred)
bitmap(file='test1.png')
opar <- par(mar=c(4,4,2,2),las=1)
ylim <- c( min(x[first:nx],lb), max(x[first:nx],ub))
plot(x,ylim=ylim,type='n',xlim=c(first,lx))
usr <- par('usr')
rect(usr[1],usr[3],nx+1,usr[4],border=NA,col='lemonchiffon')
rect(nx1,usr[3],usr[2],usr[4],border=NA,col='lavender')
abline(h= (-3:3)*2 , col ='gray', lty =3)
polygon( c(nx1:lx,lx:nx1), c(lb,rev(ub)), col = 'orange', lty=2,border=NA)
lines(nx1:lx, lb , lty=2)
lines(nx1:lx, ub , lty=2)
lines(x, lwd=2)
lines(nx1:lx, forecast$pred , lwd=2 , col ='white')
box()
par(opar)
dev.off()
prob.dec <- array(NA, dim=fx)
prob.sdec <- array(NA, dim=fx)
prob.ldec <- array(NA, dim=fx)
prob.pval <- array(NA, dim=fx)
perf.pe <- array(0, dim=fx)
perf.mape <- array(0, dim=fx)
perf.mape1 <- array(0, dim=fx)
perf.se <- array(0, dim=fx)
perf.mse <- array(0, dim=fx)
perf.mse1 <- array(0, dim=fx)
perf.rmse <- array(0, dim=fx)
for (i in 1:fx) {
locSD <- (ub[i] - forecast$pred[i]) / 1.96
perf.pe[i] = (x[nx+i] - forecast$pred[i]) / forecast$pred[i]
perf.se[i] = (x[nx+i] - forecast$pred[i])^2
prob.dec[i] = pnorm((x[nx+i-1] - forecast$pred[i]) / locSD)
prob.sdec[i] = pnorm((x[nx+i-par5] - forecast$pred[i]) / locSD)
prob.ldec[i] = pnorm((x[nx] - forecast$pred[i]) / locSD)
prob.pval[i] = pnorm(abs(x[nx+i] - forecast$pred[i]) / locSD)
}
perf.mape[1] = abs(perf.pe[1])
perf.mse[1] = abs(perf.se[1])
for (i in 2:fx) {
perf.mape[i] = perf.mape[i-1] + abs(perf.pe[i])
perf.mape1[i] = perf.mape[i] / i
perf.mse[i] = perf.mse[i-1] + perf.se[i]
perf.mse1[i] = perf.mse[i] / i
}
perf.rmse = sqrt(perf.mse1)
bitmap(file='test2.png')
plot(forecast$pred, pch=19, type='b',main='ARIMA Extrapolation Forecast', ylab='Forecast and 95% CI', xlab='time',ylim=c(min(lb),max(ub)))
dum <- forecast$pred
dum[1:par1] <- x[(nx+1):lx]
lines(dum, lty=1)
lines(ub,lty=3)
lines(lb,lty=3)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Univariate ARIMA Extrapolation Forecast',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'time',1,header=TRUE)
a<-table.element(a,'Y[t]',1,header=TRUE)
a<-table.element(a,'F[t]',1,header=TRUE)
a<-table.element(a,'95% LB',1,header=TRUE)
a<-table.element(a,'95% UB',1,header=TRUE)
a<-table.element(a,'p-value
(H0: Y[t] = F[t])',1,header=TRUE)
a<-table.element(a,'P(F[t]>Y[t-1])',1,header=TRUE)
a<-table.element(a,'P(F[t]>Y[t-s])',1,header=TRUE)
mylab <- paste('P(F[t]>Y[',nx,sep='')
mylab <- paste(mylab,'])',sep='')
a<-table.element(a,mylab,1,header=TRUE)
a<-table.row.end(a)
for (i in (nx-par5):nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.element(a,'-')
a<-table.row.end(a)
}
for (i in 1:fx) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,round(x[nx+i],4))
a<-table.element(a,round(forecast$pred[i],4))
a<-table.element(a,round(lb[i],4))
a<-table.element(a,round(ub[i],4))
a<-table.element(a,round((1-prob.pval[i]),4))
a<-table.element(a,round((1-prob.dec[i]),4))
a<-table.element(a,round((1-prob.sdec[i]),4))
a<-table.element(a,round((1-prob.ldec[i]),4))
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,'Univariate ARIMA Extrapolation Forecast Performance',7,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'time',1,header=TRUE)
a<-table.element(a,'% S.E.',1,header=TRUE)
a<-table.element(a,'PE',1,header=TRUE)
a<-table.element(a,'MAPE',1,header=TRUE)
a<-table.element(a,'Sq.E',1,header=TRUE)
a<-table.element(a,'MSE',1,header=TRUE)
a<-table.element(a,'RMSE',1,header=TRUE)
a<-table.row.end(a)
for (i in 1:fx) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,round(perc.se[i],4))
a<-table.element(a,round(perf.pe[i],4))
a<-table.element(a,round(perf.mape1[i],4))
a<-table.element(a,round(perf.se[i],4))
a<-table.element(a,round(perf.mse1[i],4))
a<-table.element(a,round(perf.rmse[i],4))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')