| Multiple Linear Regression - Estimated Regression Equation |
| 15thbird[t] = + 695.014963905026 + 0.770099034363092Temp[t] -0.255338165152052Humidity[t] -14.6017049143097Rain[t] + 0.405251102776886Sunset[t] + e[t] |
| Multiple Linear Regression - Ordinary Least Squares | |||||
| Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
| (Intercept) | 695.014963905026 | 231.323306 | 3.0045 | 0.005555 | 0.002777 |
| Temp | 0.770099034363092 | 0.633789 | 1.2151 | 0.234486 | 0.117243 |
| Humidity | -0.255338165152052 | 0.171906 | -1.4853 | 0.148628 | 0.074314 |
| Rain | -14.6017049143097 | 7.639267 | -1.9114 | 0.066238 | 0.033119 |
| Sunset | 0.405251102776886 | 0.205413 | 1.9729 | 0.058459 | 0.029229 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.687037774613739 |
| R-squared | 0.472020903746199 |
| Adjusted R-squared | 0.396595318567085 |
| F-TEST (value) | 6.25810065146043 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 28 |
| p-value | 0.000995225294384894 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 14.8254755896574 |
| Sum Squared Residuals | 6154.25234086676 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1217 | 1196.98563640301 | 20.0143635969855 |
| 2 | 1202 | 1201.75210366859 | 0.247896331406423 |
| 3 | 1180 | 1202.12105846943 | -22.1210584694276 |
| 4 | 1167 | 1196.75081025376 | -29.7508102537615 |
| 5 | 1186 | 1165.59650285743 | 20.4034971425691 |
| 6 | 1168 | 1167.7122005342 | 0.2877994658008 |
| 7 | 1142 | 1155.42353573493 | -13.4235357349254 |
| 8 | 1147 | 1172.25446564032 | -25.254465640322 |
| 9 | 1183 | 1178.65838712434 | 4.34161287566031 |
| 10 | 1149 | 1180.33240341434 | -31.3324034143432 |
| 11 | 1197 | 1183.29538647717 | 13.7046135228315 |
| 12 | 1210 | 1182.31861084802 | 27.6813891519787 |
| 13 | 1206 | 1188.92514671826 | 17.074853281743 |
| 14 | 1196 | 1178.94658024347 | 17.053419756526 |
| 15 | 1190 | 1180.53113423472 | 9.46886576527812 |
| 16 | 1175 | 1175.12454505643 | -0.124545056431168 |
| 17 | 1186 | 1176.55141458944 | 9.4485854105627 |
| 18 | 1172 | 1170.73544510878 | 1.26455489121893 |
| 19 | 1152 | 1151.74819324649 | 0.251806753513895 |
| 20 | 1154 | 1152.87936610383 | 1.12063389616881 |
| 21 | 1168 | 1167.33934948867 | 0.660650511329182 |
| 22 | 1180 | 1176.7423738892 | 3.25762611080088 |
| 23 | 1169 | 1166.15179039549 | 2.84820960450827 |
| 24 | 1166 | 1170.67932464257 | -4.67932464256811 |
| 25 | 1177 | 1172.36131123179 | 4.63868876821305 |
| 26 | 1168 | 1164.92815610931 | 3.07184389069092 |
| 27 | 1160 | 1161.50337939549 | -1.50337939548688 |
| 28 | 1147 | 1155.64020152313 | -8.64020152312721 |
| 29 | 1161 | 1164.62022814727 | -3.62022814726808 |
| 30 | 1161 | 1169.95011785243 | -8.95011785242521 |
| 31 | 1161 | 1172.49963607398 | -11.4996360739781 |
| 32 | 1168 | 1161.31750291656 | 6.68249708343727 |
| 33 | 1172 | 1174.62370160716 | -2.62370160715883 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.393230531092892 | 0.786461062185785 | 0.606769468907108 |
| 9 | 0.9785833068277 | 0.0428333863445994 | 0.0214166931722997 |
| 10 | 0.999948653586426 | 0.000102692827147566 | 5.13464135737831e-05 |
| 11 | 0.999995072478506 | 9.85504298816542e-06 | 4.92752149408271e-06 |
| 12 | 0.999999454540209 | 1.09091958122719e-06 | 5.45459790613597e-07 |
| 13 | 0.999997917291525 | 4.16541694907099e-06 | 2.0827084745355e-06 |
| 14 | 0.999997630309374 | 4.73938125140203e-06 | 2.36969062570101e-06 |
| 15 | 0.999995787923727 | 8.42415254537121e-06 | 4.21207627268561e-06 |
| 16 | 0.999983566736901 | 3.28665261975354e-05 | 1.64332630987677e-05 |
| 17 | 0.999981299080412 | 3.74018391758942e-05 | 1.87009195879471e-05 |
| 18 | 0.999929982861842 | 0.000140034276316988 | 7.00171381584939e-05 |
| 19 | 0.999762790579724 | 0.000474418840551957 | 0.000237209420275978 |
| 20 | 0.999321805012867 | 0.00135638997426596 | 0.000678194987132978 |
| 21 | 0.998734948230416 | 0.00253010353916841 | 0.0012650517695842 |
| 22 | 0.996812974175281 | 0.00637405164943721 | 0.0031870258247186 |
| 23 | 0.988971735566058 | 0.0220565288678831 | 0.0110282644339415 |
| 24 | 0.984068364589752 | 0.0318632708204958 | 0.0159316354102479 |
| 25 | 0.979793081156709 | 0.0404138376865815 | 0.0202069188432908 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 13 | 0.722222222222222 | NOK |
| 5% type I error level | 17 | 0.944444444444444 | NOK |
| 10% type I error level | 17 | 0.944444444444444 | NOK |
