| Multiple Linear Regression - Estimated Regression Equation |
| 15thbird[t] = -1047.45044650287 + 0.770045973168245Temp[t] -0.255581833737266Humidity[t] -14.6249532622411Rain[t] + 0.0419437695136377Date[t] + 0.431489551630084Sunset[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) | -1047.45044650287 | 217015.191926 | -0.0048 | 0.996184 | 0.498092 |
| Temp | 0.770045973168245 | 0.645452 | 1.193 | 0.243235 | 0.121618 |
| Humidity | -0.255581833737266 | 0.177671 | -1.4385 | 0.161782 | 0.080891 |
| Rain | -14.6249532622411 | 8.300805 | -1.7619 | 0.089412 | 0.044706 |
| Date | 0.0419437695136377 | 5.22388 | 0.008 | 0.993653 | 0.496826 |
| Sunset | 0.431489551630084 | 3.274551 | 0.1318 | 0.896143 | 0.448071 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.687038692078926 |
| R-squared | 0.472022164413522 |
| Adjusted R-squared | 0.374248491156767 |
| F-TEST (value) | 4.82770206632192 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 27 |
| p-value | 0.00278467856797981 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 15.0975073319367 |
| Sum Squared Residuals | 6154.23764622283 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1217 | 1196.97399150158 | 20.0260084984169 |
| 2 | 1202 | 1201.75842036561 | 0.241579634389111 |
| 3 | 1180 | 1202.1170220334 | -22.1170220334035 |
| 4 | 1167 | 1196.75994735531 | -29.7599473553061 |
| 5 | 1186 | 1165.6062652704 | 20.393734729596 |
| 6 | 1168 | 1167.69097084953 | 0.309029150470734 |
| 7 | 1142 | 1155.38341962352 | -13.3834196235232 |
| 8 | 1147 | 1172.25495051029 | -25.2549505102938 |
| 9 | 1183 | 1178.65254449259 | 4.3474555074099 |
| 10 | 1149 | 1180.34212283803 | -31.3421228380279 |
| 11 | 1197 | 1183.29431277281 | 13.7056872271942 |
| 12 | 1210 | 1182.30936682856 | 27.6906331714437 |
| 13 | 1206 | 1188.93530508428 | 17.0646949157246 |
| 14 | 1196 | 1178.94265698782 | 17.0573430121778 |
| 15 | 1190 | 1180.55009453012 | 9.44990546987804 |
| 16 | 1175 | 1175.1285861891 | -0.128586189104643 |
| 17 | 1186 | 1176.5439846495 | 9.45601535049753 |
| 18 | 1172 | 1170.73808427533 | 1.26191572467014 |
| 19 | 1152 | 1151.84471019315 | 0.155289806853306 |
| 20 | 1154 | 1152.86119569928 | 1.1388043007159 |
| 21 | 1168 | 1167.33358696184 | 0.666413038156694 |
| 22 | 1180 | 1176.73582497759 | 3.2641750224126 |
| 23 | 1169 | 1166.15563956977 | 2.84436043022833 |
| 24 | 1166 | 1170.66403527176 | -4.66403527175523 |
| 25 | 1177 | 1172.36497977115 | 4.63502022884596 |
| 26 | 1168 | 1164.91678385811 | 3.0832161418875 |
| 27 | 1160 | 1161.50609168277 | -1.506091682766 |
| 28 | 1147 | 1155.61343836411 | -8.61343836411271 |
| 29 | 1161 | 1164.60860180131 | -3.60860180130803 |
| 30 | 1161 | 1169.94817666742 | -8.94817666742324 |
| 31 | 1161 | 1172.51267409709 | -11.5126740970894 |
| 32 | 1168 | 1161.31105574726 | 6.68894425273789 |
| 33 | 1172 | 1174.64115917959 | -2.64115917959308 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.982494429051156 | 0.0350111418976884 | 0.0175055709488442 |
| 10 | 0.99993175146309 | 0.000136497073819555 | 6.82485369097773e-05 |
| 11 | 0.999994522545417 | 1.09549091659342e-05 | 5.47745458296712e-06 |
| 12 | 0.999999110445737 | 1.77910852589715e-06 | 8.89554262948577e-07 |
| 13 | 0.999996471521733 | 7.05695653346068e-06 | 3.52847826673034e-06 |
| 14 | 0.999995362549092 | 9.2749018156036e-06 | 4.6374509078018e-06 |
| 15 | 0.999991045080974 | 1.79098380510088e-05 | 8.95491902550442e-06 |
| 16 | 0.99996442115522 | 7.11576895591487e-05 | 3.55788447795744e-05 |
| 17 | 0.999954630014223 | 9.07399715544781e-05 | 4.53699857772391e-05 |
| 18 | 0.999825406889436 | 0.000349186221128401 | 0.0001745931105642 |
| 19 | 0.999291884228031 | 0.00141623154393831 | 0.000708115771969155 |
| 20 | 0.99824432923771 | 0.00351134152457923 | 0.00175567076228962 |
| 21 | 0.996471769116496 | 0.00705646176700706 | 0.00352823088350353 |
| 22 | 0.990992480270825 | 0.0180150394583501 | 0.00900751972917505 |
| 23 | 0.969862841262044 | 0.0602743174759116 | 0.0301371587379558 |
| 24 | 0.984712972014455 | 0.0305740559710898 | 0.0152870279855449 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 12 | 0.75 | NOK |
| 5% type I error level | 15 | 0.9375 | NOK |
| 10% type I error level | 16 | 1 | NOK |
