Univariate ARIMA Extrapolation Forecast | ||||||||
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[190]) |
178 | 258.37 | - | - | - | - | - | - | - |
179 | 258.22 | - | - | - | - | - | - | - |
180 | 258.59 | - | - | - | - | - | - | - |
181 | 257.45 | - | - | - | - | - | - | - |
182 | 257.45 | - | - | - | - | - | - | - |
183 | 256.73 | - | - | - | - | - | - | - |
184 | 258.82 | - | - | - | - | - | - | - |
185 | 257.99 | - | - | - | - | - | - | - |
186 | 262.85 | - | - | - | - | - | - | - |
187 | 262.58 | - | - | - | - | - | - | - |
188 | 261.55 | - | - | - | - | - | - | - |
189 | 261.25 | - | - | - | - | - | - | - |
190 | 259.78 | - | - | - | - | - | - | - |
191 | 256.26 | 259.784 | 254.0673 | 265.764 | 0.124 | 0.5005 | 0.6959 | 0.5005 |
192 | 254.29 | 260.1901 | 252.5713 | 268.2829 | 0.0765 | 0.8294 | 0.6508 | 0.5396 |
193 | 248.5 | 259.3232 | 249.7811 | 269.6234 | 0.0197 | 0.8309 | 0.6392 | 0.4654 |
194 | 241.88 | 259.5327 | 247.9076 | 272.3018 | 0.0034 | 0.9548 | 0.6254 | 0.4849 |
195 | 238.53 | 259.6815 | 246.1932 | 274.7333 | 0.0029 | 0.9898 | 0.6496 | 0.4949 |
196 | 232.24 | 259.8257 | 244.4804 | 277.2264 | 9e-04 | 0.9918 | 0.5451 | 0.5021 |
197 | 232.46 | 259.6751 | 242.5432 | 279.4111 | 0.0034 | 0.9968 | 0.5665 | 0.4958 |
198 | 225.79 | 260.8315 | 241.7694 | 283.1567 | 0.001 | 0.9936 | 0.4297 | 0.5368 |
199 | 221.63 | 260.9154 | 240.0704 | 285.7245 | 0.001 | 0.9972 | 0.4477 | 0.5357 |
200 | 219.62 | 261.1297 | 238.4918 | 288.5159 | 0.0015 | 0.9977 | 0.488 | 0.5385 |
201 | 215.94 | 261.1363 | 236.7462 | 291.1291 | 0.0016 | 0.9967 | 0.497 | 0.5353 |
202 | 211.81 | 260.7761 | 234.7087 | 293.3572 | 0.0016 | 0.9965 | 0.5239 | 0.5239 |
203 | 205.57 | 260.3818 | 232.2713 | 296.2333 | 0.0014 | 0.996 | 0.5891 | 0.5131 |
204 | 201.25 | 260.4862 | 230.3322 | 299.7248 | 0.0015 | 0.997 | 0.6215 | 0.5141 |
205 | 194.7 | 259.542 | 227.5666 | 301.9722 | 0.0014 | 0.9965 | 0.695 | 0.4956 |
206 | 187.94 | 259.3382 | 225.3716 | 305.3603 | 0.0012 | 0.997 | 0.7714 | 0.4925 |
207 | 185.61 | 259.1267 | 223.2009 | 308.8361 | 0.0019 | 0.9975 | 0.7916 | 0.4897 |
208 | 181.15 | 258.8937 | 221.0257 | 312.4203 | 0.0022 | 0.9964 | 0.8355 | 0.4871 |
209 | 186.5 | 258.4222 | 218.6963 | 315.784 | 0.007 | 0.9959 | 0.8125 | 0.4815 |
210 | 183.21 | 258.9807 | 217.1152 | 320.8486 | 0.0082 | 0.9892 | 0.8535 | 0.4899 |
211 | 182.61 | 258.6943 | 214.9468 | 324.7999 | 0.012 | 0.9874 | 0.8641 | 0.4872 |
212 | 187.09 | 258.51 | 212.8657 | 329.0722 | 0.0236 | 0.9825 | 0.86 | 0.4859 |
213 | 189.1 | 258.165 | 210.6931 | 333.2507 | 0.0357 | 0.9682 | 0.8648 | 0.4832 |
214 | 191.25 | 257.5367 | 208.3545 | 337.1122 | 0.0513 | 0.9541 | 0.87 | 0.478 |
215 | 190.74 | 256.8844 | 205.8339 | 341.6096 | 0.063 | 0.9355 | 0.8824 | 0.4733 |
216 | 190.79 | 256.6187 | 203.6251 | 346.8996 | 0.0765 | 0.9237 | 0.8853 | 0.4726 |
Univariate ARIMA Extrapolation Forecast Performance | ||||||
time | % S.E. | PE | MAPE | Sq.E | MSE | RMSE |
191 | 0.0117 | -0.0136 | 0 | 12.4189 | 0 | 0 |
192 | 0.0159 | -0.0227 | 0.0181 | 34.8117 | 23.6153 | 4.8596 |
193 | 0.0203 | -0.0417 | 0.026 | 117.1421 | 54.7909 | 7.4021 |
194 | 0.0251 | -0.068 | 0.0365 | 311.6195 | 118.998 | 10.9086 |
195 | 0.0296 | -0.0815 | 0.0455 | 447.384 | 184.6752 | 13.5895 |
196 | 0.0342 | -0.1062 | 0.0556 | 760.9716 | 280.7246 | 16.7548 |
197 | 0.0388 | -0.1048 | 0.0626 | 740.6613 | 346.4299 | 18.6126 |
198 | 0.0437 | -0.1343 | 0.0716 | 1227.904 | 456.6141 | 21.3685 |
199 | 0.0485 | -0.1506 | 0.0804 | 1543.3417 | 577.3616 | 24.0284 |
200 | 0.0535 | -0.159 | 0.0882 | 1723.0537 | 691.9309 | 26.3046 |
201 | 0.0586 | -0.1731 | 0.0959 | 2042.7076 | 814.7287 | 28.5435 |
202 | 0.0637 | -0.1878 | 0.1036 | 2397.6816 | 946.6415 | 30.7675 |
203 | 0.0702 | -0.2105 | 0.1118 | 3004.333 | 1104.9254 | 33.2404 |
204 | 0.0769 | -0.2274 | 0.1201 | 3508.9311 | 1276.6401 | 35.7301 |
205 | 0.0834 | -0.2498 | 0.1287 | 4204.4845 | 1471.8298 | 38.3644 |
206 | 0.0905 | -0.2753 | 0.1379 | 5097.7052 | 1698.447 | 41.2122 |
207 | 0.0979 | -0.2837 | 0.1465 | 5404.6989 | 1916.4618 | 43.7774 |
208 | 0.1055 | -0.3003 | 0.155 | 6044.0844 | 2145.7742 | 46.3225 |
209 | 0.1132 | -0.2783 | 0.1615 | 5172.8002 | 2305.0913 | 48.0114 |
210 | 0.1219 | -0.2926 | 0.1681 | 5741.1936 | 2476.8964 | 49.7684 |
211 | 0.1304 | -0.2941 | 0.1741 | 5788.816 | 2634.6069 | 51.3284 |
212 | 0.1393 | -0.2763 | 0.1787 | 5100.8132 | 2746.7072 | 52.409 |
213 | 0.1484 | -0.2675 | 0.1826 | 4769.9725 | 2834.6752 | 53.2417 |
214 | 0.1576 | -0.2574 | 0.1857 | 4393.9211 | 2899.6438 | 53.8483 |
215 | 0.1683 | -0.2575 | 0.1886 | 4375.0769 | 2958.6611 | 54.3936 |
216 | 0.1795 | -0.2565 | 0.1912 | 4333.4217 | 3011.5365 | 54.8775 |