| Multiple Linear Regression - Estimated Regression Equation |
| 15thbird[t] = + 531.209664655264 -0.333119491933978Humidity[t] -15.6805607659776Rain[t] + 0.562262997957055Sunset[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) | 531.209664655264 | 189.517483 | 2.803 | 0.008934 | 0.004467 |
| Humidity | -0.333119491933978 | 0.160848 | -2.071 | 0.04736 | 0.02368 |
| Rain | -15.6805607659776 | 7.64956 | -2.0499 | 0.049516 | 0.024758 |
| Sunset | 0.562262997957055 | 0.160983 | 3.4927 | 0.001554 | 0.000777 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.666469327370486 |
| R-squared | 0.444181364325669 |
| Adjusted R-squared | 0.386682884773152 |
| F-TEST (value) | 7.72509756401419 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 29 |
| p-value | 0.000610991185128862 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 14.9467523416682 |
| Sum Squared Residuals | 6478.75676133172 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 1217 | 1195.55815657047 | 21.4418434295316 |
| 2 | 1202 | 1198.32708849185 | 3.67291150814816 |
| 3 | 1180 | 1197.53568198787 | -17.5356819878717 |
| 4 | 1167 | 1193.30910457864 | -26.3091045786409 |
| 5 | 1186 | 1165.51107458293 | 20.4889254170721 |
| 6 | 1168 | 1171.48603390354 | -3.48603390353826 |
| 7 | 1142 | 1158.70232568993 | -16.7023256899349 |
| 8 | 1147 | 1176.15245990149 | -29.1524599014933 |
| 9 | 1183 | 1181.02408476039 | 1.97591523960921 |
| 10 | 1149 | 1180.46182176243 | -31.4618217624337 |
| 11 | 1197 | 1179.33729576652 | 17.6627042334804 |
| 12 | 1210 | 1181.21084519801 | 28.7891548019887 |
| 13 | 1206 | 1185.978494071 | 20.0215059290021 |
| 14 | 1196 | 1179.52405620414 | 16.4759437958598 |
| 15 | 1190 | 1188.28913898033 | 1.71086101966551 |
| 16 | 1175 | 1181.16846212961 | -6.16846212960877 |
| 17 | 1186 | 1179.04457765789 | 6.95542234210727 |
| 18 | 1172 | 1170.82056634545 | 1.17943365454582 |
| 19 | 1152 | 1151.83000219434 | 0.169997805661918 |
| 20 | 1154 | 1149.78890217433 | 4.21109782566833 |
| 21 | 1168 | 1164.01181745246 | 3.98818254753884 |
| 22 | 1180 | 1176.21207113391 | 3.78792886609382 |
| 23 | 1169 | 1167.98805982147 | 1.01194017853237 |
| 24 | 1166 | 1168.73708325705 | -2.73708325704521 |
| 25 | 1177 | 1172.50537365423 | 4.49462634577012 |
| 26 | 1168 | 1165.05157731157 | 2.94842268842982 |
| 27 | 1160 | 1162.15747787008 | -2.15747787007528 |
| 28 | 1147 | 1151.68166145493 | -4.68166145492916 |
| 29 | 1161 | 1168.90265216046 | -7.90265216046447 |
| 30 | 1161 | 1173.54513351334 | -12.5451335133389 |
| 31 | 1161 | 1172.31663153151 | -11.3166315315139 |
| 32 | 1168 | 1158.86668433404 | 9.13331566595742 |
| 33 | 1172 | 1169.96360355377 | 2.03639644622524 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.0909256056078784 | 0.181851211215757 | 0.909074394392122 |
| 8 | 0.619597627578106 | 0.760804744843787 | 0.380402372421894 |
| 9 | 0.956902881489943 | 0.0861942370201144 | 0.0430971185100572 |
| 10 | 0.998421001527722 | 0.00315799694455591 | 0.00157899847227795 |
| 11 | 0.999796274176338 | 0.000407451647324431 | 0.000203725823662215 |
| 12 | 0.999981441587456 | 3.71168250873141e-05 | 1.85584125436571e-05 |
| 13 | 0.99999060484551 | 1.87903089795422e-05 | 9.3951544897711e-06 |
| 14 | 0.999995184116519 | 9.6317669620073e-06 | 4.81588348100365e-06 |
| 15 | 0.999992200947355 | 1.55981052908047e-05 | 7.79905264540237e-06 |
| 16 | 0.99998476132669 | 3.04773466196918e-05 | 1.52386733098459e-05 |
| 17 | 0.999973025893224 | 5.39482135510258e-05 | 2.69741067755129e-05 |
| 18 | 0.999896569949203 | 0.000206860101593771 | 0.000103430050796885 |
| 19 | 0.999662059807174 | 0.000675880385651446 | 0.000337940192825723 |
| 20 | 0.998896620401783 | 0.00220675919643451 | 0.00110337959821725 |
| 21 | 0.996690194364266 | 0.00661961127146859 | 0.00330980563573429 |
| 22 | 0.995156996431737 | 0.00968600713652643 | 0.00484300356826321 |
| 23 | 0.985639419149016 | 0.0287211617019671 | 0.0143605808509835 |
| 24 | 0.962831479817761 | 0.0743370403644777 | 0.0371685201822389 |
| 25 | 0.982940297635833 | 0.0341194047283331 | 0.0170597023641665 |
| 26 | 0.986702128827265 | 0.0265957423454696 | 0.0132978711727348 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 13 | 0.65 | NOK |
| 5% type I error level | 16 | 0.8 | NOK |
| 10% type I error level | 18 | 0.9 | NOK |
