| Multiple Linear Regression - Estimated Regression Equation |
| TimeIn[t] = + 1135.89578177362 + 1.80928508812247Temperature[t] -14.7289951590588Rain[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) | 1135.89578177362 | 10.645732 | 106.6996 | 0 | 0 |
| Temperature | 1.80928508812247 | 0.460783 | 3.9265 | 0.000448 | 0.000224 |
| Rain | -14.7289951590588 | 6.970159 | -2.1132 | 0.042739 | 0.021369 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.645431966802661 |
| R-squared | 0.416582423770751 |
| Adjusted R-squared | 0.378942580143058 |
| F-TEST (value) | 11.0675917756537 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 31 |
| p-value | 0.00023587525601676 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 15.3867606178085 |
| Sum Squared Residuals | 7339.32447160206 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1217 | 1191.98361950542 | 25.016380494583 |
| 2 | 1202 | 1198.13518880503 | 3.86481119496602 |
| 3 | 1180 | 1200.30633091078 | -20.306330910781 |
| 4 | 1167 | 1195.24033266404 | -28.240332664038 |
| 5 | 1186 | 1163.32312916782 | 22.6768708321843 |
| 6 | 1168 | 1157.35248837701 | 10.6475116229884 |
| 7 | 1142 | 1151.38184758621 | -9.38184758620739 |
| 8 | 1147 | 1168.1010563422 | -21.1010563422009 |
| 9 | 1183 | 1174.25262564182 | 8.74737435818266 |
| 10 | 1149 | 1179.13769537975 | -30.137695379748 |
| 11 | 1197 | 1188.00319231155 | 8.99680768845186 |
| 12 | 1210 | 1182.21348002956 | 27.7865199704438 |
| 13 | 1206 | 1189.08876336442 | 16.9112366355784 |
| 14 | 1196 | 1177.14748178281 | 18.8525182171867 |
| 15 | 1190 | 1165.02527169239 | 24.9747283076073 |
| 16 | 1175 | 1165.02527169239 | 9.97472830760727 |
| 17 | 1186 | 1172.08148353607 | 13.9185164639296 |
| 18 | 1172 | 1173.16705458894 | -1.16705458894386 |
| 19 | 1152 | 1154.2767037272 | -2.27670372720335 |
| 20 | 1154 | 1160.24734451801 | -6.24734451800751 |
| 21 | 1168 | 1177.14748178281 | -9.1474817828133 |
| 22 | 1180 | 1177.14748178281 | 2.8525182171867 |
| 23 | 1169 | 1167.01548528933 | 1.98451471067255 |
| 24 | 1166 | 1176.06191072994 | -10.0619107299398 |
| 25 | 1177 | 1173.16705458894 | 3.83294541105614 |
| 26 | 1168 | 1169.00569888626 | -1.00569888626217 |
| 27 | 1160 | 1166.11084274527 | -6.11084274526621 |
| 28 | 1147 | 1162.41848662375 | -15.4184866237545 |
| 29 | 1161 | 1161.04484449852 | -0.0448444985232886 |
| 30 | 1143 | 1153.98863265485 | -10.9886326548456 |
| 31 | 1161 | 1165.02527169239 | -4.02527169239273 |
| 32 | 1161 | 1173.16705458894 | -12.1670545889439 |
| 33 | 1168 | 1170.9959124832 | -2.99591248319689 |
| 34 | 1172 | 1182.21348002956 | -10.2134800295562 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.950602006332493 | 0.0987959873350133 | 0.0493979936675066 |
| 7 | 0.964174039906009 | 0.0716519201879828 | 0.0358259600939914 |
| 8 | 0.948492491178647 | 0.103015017642705 | 0.0515075088213526 |
| 9 | 0.947145330634521 | 0.105709338730958 | 0.0528546693654792 |
| 10 | 0.986010147166869 | 0.0279797056662612 | 0.0139898528331306 |
| 11 | 0.979904056424691 | 0.0401918871506174 | 0.0200959435753087 |
| 12 | 0.996292901158064 | 0.00741419768387113 | 0.00370709884193557 |
| 13 | 0.99680066539539 | 0.00639866920921925 | 0.00319933460460962 |
| 14 | 0.998668716918655 | 0.0026625661626898 | 0.0013312830813449 |
| 15 | 0.999899780477297 | 0.000200439045406178 | 0.000100219522703089 |
| 16 | 0.999888267709821 | 0.000223464580357712 | 0.000111732290178856 |
| 17 | 0.999982427951559 | 3.5144096882779e-05 | 1.75720484413895e-05 |
| 18 | 0.999947594053832 | 0.000104811892336784 | 5.24059461683919e-05 |
| 19 | 0.999896772080032 | 0.000206455839935852 | 0.000103227919967926 |
| 20 | 0.999798413765219 | 0.000403172469561501 | 0.00020158623478075 |
| 21 | 0.999540741757977 | 0.000918516484046639 | 0.00045925824202332 |
| 22 | 0.99924598921929 | 0.00150802156142077 | 0.000754010780710386 |
| 23 | 0.998635594029708 | 0.00272881194058397 | 0.00136440597029199 |
| 24 | 0.996848331328821 | 0.00630333734235775 | 0.00315166867117888 |
| 25 | 0.997249517171372 | 0.00550096565725596 | 0.00275048282862798 |
| 26 | 0.994018923000491 | 0.0119621539990184 | 0.00598107699950918 |
| 27 | 0.978493691624087 | 0.0430126167518264 | 0.0215063083759132 |
| 28 | 0.932270872508938 | 0.135458254982125 | 0.0677291274910624 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 14 | 0.608695652173913 | NOK |
| 5% type I error level | 18 | 0.782608695652174 | NOK |
| 10% type I error level | 20 | 0.869565217391304 | NOK |
