| Multiple Linear Regression - Estimated Regression Equation |
| timein[t] = + 850.97661095942 + 0.264456987979047sunset[t] + 1.76566057630534temp[t] -0.880457889815843dewpoint[t] -0.282616075335568humidity[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) | 850.97661095942 | 286.949297 | 2.9656 | 0.005991 | 0.002995 |
| sunset | 0.264456987979047 | 0.248133 | 1.0658 | 0.295312 | 0.147656 |
| temp | 1.76566057630534 | 0.606706 | 2.9102 | 0.006871 | 0.003435 |
| dewpoint | -0.880457889815843 | 0.948247 | -0.9285 | 0.360807 | 0.180404 |
| humidity | -0.282616075335568 | 0.148785 | -1.8995 | 0.067487 | 0.033744 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.714906749147207 |
| R-squared | 0.511091659976227 |
| Adjusted R-squared | 0.4436560268695 |
| F-TEST (value) | 7.57895546360996 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 29 |
| p-value | 0.000262202464874628 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 14.9526204447375 |
| Sum Squared Residuals | 6483.84488676706 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1217 | 1195.41077275692 | 21.5892272430767 |
| 2 | 1202 | 1204.59204300461 | -2.59204300460964 |
| 3 | 1180 | 1205.93626306166 | -25.936263061664 |
| 4 | 1167 | 1196.12240121865 | -29.1224012186518 |
| 5 | 1186 | 1170.02165601561 | 15.9783439843912 |
| 6 | 1168 | 1177.15674789466 | -9.15674789466464 |
| 7 | 1142 | 1157.52863308326 | -15.5286330832612 |
| 8 | 1147 | 1161.18471525657 | -14.184715256567 |
| 9 | 1183 | 1171.57004501812 | 11.4299549818759 |
| 10 | 1149 | 1174.31195580654 | -25.3119558065378 |
| 11 | 1197 | 1183.40328233327 | 13.5967176667267 |
| 12 | 1210 | 1179.32757024625 | 30.6724297537497 |
| 13 | 1206 | 1191.70321327731 | 14.296786722694 |
| 14 | 1196 | 1176.05563176014 | 19.9443682398574 |
| 15 | 1190 | 1185.08136736755 | 4.91863263244868 |
| 16 | 1175 | 1174.00652511869 | 0.993474881305227 |
| 17 | 1186 | 1175.57138781795 | 10.4286121820542 |
| 18 | 1172 | 1164.56580094634 | 7.43419905365946 |
| 19 | 1152 | 1156.53063672085 | -4.53063672085237 |
| 20 | 1154 | 1160.49230637242 | -6.49230637242264 |
| 21 | 1168 | 1159.77451586612 | 8.22548413388106 |
| 22 | 1180 | 1178.91459485683 | 1.08540514316592 |
| 23 | 1169 | 1161.73399417494 | 7.26600582506244 |
| 24 | 1166 | 1169.67077748007 | -3.6707774800654 |
| 25 | 1177 | 1174.65756199844 | 2.34243800156059 |
| 26 | 1168 | 1162.23264117412 | 5.76735882588112 |
| 27 | 1160 | 1157.1648147367 | 2.83518526329768 |
| 28 | 1147 | 1171.80763202879 | -24.8076320287852 |
| 29 | 1161 | 1167.07007536946 | -6.07007536946044 |
| 30 | 1143 | 1153.86394909905 | -10.8639490990529 |
| 31 | 1159 | 1157.66303601048 | 1.3369639895187 |
| 32 | 1158 | 1157.3985790225 | 0.601420977497743 |
| 33 | 1156 | 1156.86966504654 | -0.869665046544163 |
| 34 | 1155 | 1156.60520805857 | -1.60520805856512 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.387155023831265 | 0.77431004766253 | 0.612844976168735 |
| 9 | 0.921913237268814 | 0.156173525462373 | 0.0780867627311864 |
| 10 | 0.990745005754705 | 0.0185099884905896 | 0.00925499424529481 |
| 11 | 0.999602536445008 | 0.000794927109984864 | 0.000397463554992432 |
| 12 | 0.999941358104765 | 0.000117283790470674 | 5.86418952353371e-05 |
| 13 | 0.999812815178229 | 0.000374369643541339 | 0.00018718482177067 |
| 14 | 0.999753381877477 | 0.000493236245046033 | 0.000246618122523016 |
| 15 | 0.999257724330591 | 0.00148455133881849 | 0.000742275669409247 |
| 16 | 0.99856227788414 | 0.00287544423172091 | 0.00143772211586045 |
| 17 | 0.996502247168791 | 0.00699550566241863 | 0.00349775283120932 |
| 18 | 0.992444066777374 | 0.015111866445253 | 0.00755593322262649 |
| 19 | 0.994677433043594 | 0.0106451339128117 | 0.00532256695640585 |
| 20 | 0.998808363297283 | 0.00238327340543478 | 0.00119163670271739 |
| 21 | 0.99648366084852 | 0.00703267830295924 | 0.00351633915147962 |
| 22 | 0.991626377024241 | 0.0167472459515191 | 0.00837362297575954 |
| 23 | 0.99031794704819 | 0.0193641059036208 | 0.00968205295181041 |
| 24 | 0.981528219403648 | 0.0369435611927048 | 0.0184717805963524 |
| 25 | 0.946666612208732 | 0.106666775582536 | 0.0533333877912682 |
| 26 | 0.902339880419498 | 0.195320239161003 | 0.0976601195805015 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 9 | 0.473684210526316 | NOK |
| 5% type I error level | 15 | 0.789473684210526 | NOK |
| 10% type I error level | 15 | 0.789473684210526 | NOK |
