| Multiple Linear Regression - Estimated Regression Equation |
| SWS[t] = + 11.6991087212108 -1.81485814733516LogWb[t] -0.806216919392978ODI[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) | 11.6991087212108 | 0.941095 | 12.4314 | 0 | 0 |
| LogWb | -1.81485814733516 | 0.37295 | -4.8662 | 2.3e-05 | 1.1e-05 |
| ODI | -0.806216919392978 | 0.336956 | -2.3927 | 0.022068 | 0.011034 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.757704457885287 |
| R-squared | 0.574116045499236 |
| Adjusted R-squared | 0.550455825804749 |
| F-TEST (value) | 24.2650344296259 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 36 |
| p-value | 2.12443282965324e-07 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.66067288475142 |
| Sum Squared Residuals | 254.850487187453 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 6.3 | 9.28045796303185 | -2.98045796303185 |
| 2 | 2.1 | 2.2927816628123 | -0.192781662812299 |
| 3 | 9.1 | 6.6171829804919 | 2.48281701950810 |
| 4 | 15.8 | 13.8661233861737 | 1.93387661382632 |
| 5 | 5.2 | 4.47407593541155 | 0.725924064588446 |
| 6 | 10.9 | 9.95186255352357 | 0.948137446476428 |
| 7 | 8.3 | 7.77616769808655 | 0.523832301913454 |
| 8 | 11 | 9.148662421577 | 1.851337578423 |
| 9 | 3.2 | 2.82697540006035 | 0.37302459993965 |
| 10 | 6.3 | 12.9344960332043 | -6.6344960332043 |
| 11 | 6.6 | 10.2774715424128 | -3.67747154241285 |
| 12 | 9.5 | 11.3552062895369 | -1.85520628953694 |
| 13 | 3.3 | 5.05126695579082 | -1.75126695579082 |
| 14 | 11 | 11.7578303002543 | -0.757830300254302 |
| 15 | 4.7 | 7.39127014486258 | -2.69127014486258 |
| 16 | 10.4 | 11.0874734299499 | -0.687473429949896 |
| 17 | 7.4 | 8.44332794903616 | -1.04332794903616 |
| 18 | 2.1 | 2.73734904712827 | -0.637349047128266 |
| 19 | 17.9 | 14.5226080964881 | 3.37739190351188 |
| 20 | 6.1 | 7.63995514091608 | -1.53995514091608 |
| 21 | 11.9 | 12.2536895473877 | -0.353689547387724 |
| 22 | 13.8 | 10.4746596993098 | 3.32534030069015 |
| 23 | 14.3 | 9.905485478824 | 4.394514521176 |
| 24 | 15.2 | 10.6651768198082 | 4.53482318019178 |
| 25 | 10 | 6.65938289630372 | 3.34061710369628 |
| 26 | 11.9 | 9.7064348512931 | 2.19356514870691 |
| 27 | 6.5 | 4.33037320590586 | 2.16962679409414 |
| 28 | 7.5 | 6.94581945735682 | 0.554180542643175 |
| 29 | 10.6 | 10.2837877140392 | 0.316212285960768 |
| 30 | 7.4 | 9.75524177502504 | -2.35524177502504 |
| 31 | 8.4 | 8.57578929947078 | -0.175789299470784 |
| 32 | 5.7 | 10.3134209664762 | -4.61342096647616 |
| 33 | 4.9 | 8.27084783713142 | -3.37084783713142 |
| 34 | 3.2 | 4.50237979248616 | -1.30237979248616 |
| 35 | 11 | 10.1697182369705 | 0.830281763029519 |
| 36 | 4.9 | 8.7341312228088 | -3.83413122280881 |
| 37 | 13.2 | 11.8706199351573 | 1.32938006484273 |
| 38 | 9.7 | 7.34501085467231 | 2.35498914532769 |
| 39 | 12.8 | 9.905485478824 | 2.894514521176 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.487417597541191 | 0.974835195082383 | 0.512582402458808 |
| 7 | 0.314522282790041 | 0.629044565580082 | 0.685477717209959 |
| 8 | 0.211851612803996 | 0.423703225607991 | 0.788148387196004 |
| 9 | 0.118643493142725 | 0.237286986285449 | 0.881356506857275 |
| 10 | 0.686698345357767 | 0.626603309284466 | 0.313301654642233 |
| 11 | 0.715221570737487 | 0.569556858525026 | 0.284778429262513 |
| 12 | 0.641026045819497 | 0.717947908361007 | 0.358973954180503 |
| 13 | 0.585207278923646 | 0.829585442152708 | 0.414792721076354 |
| 14 | 0.493110106281597 | 0.986220212563194 | 0.506889893718403 |
| 15 | 0.465954651957631 | 0.931909303915263 | 0.534045348042369 |
| 16 | 0.372759378039954 | 0.745518756079907 | 0.627240621960046 |
| 17 | 0.291492388839830 | 0.582984777679659 | 0.70850761116017 |
| 18 | 0.216744707193052 | 0.433489414386105 | 0.783255292806948 |
| 19 | 0.307738422427152 | 0.615476844854303 | 0.692261577572848 |
| 20 | 0.263694886297358 | 0.527389772594715 | 0.736305113702642 |
| 21 | 0.188260257413104 | 0.376520514826207 | 0.811739742586896 |
| 22 | 0.227590098701864 | 0.455180197403729 | 0.772409901298136 |
| 23 | 0.339693210493821 | 0.679386420987642 | 0.660306789506179 |
| 24 | 0.503527566303849 | 0.992944867392302 | 0.496472433696151 |
| 25 | 0.539432557524665 | 0.92113488495067 | 0.460567442475335 |
| 26 | 0.512943955179795 | 0.97411208964041 | 0.487056044820205 |
| 27 | 0.490764542120301 | 0.981529084240602 | 0.509235457879699 |
| 28 | 0.390812133870124 | 0.781624267740247 | 0.609187866129876 |
| 29 | 0.288806827483596 | 0.577613654967193 | 0.711193172516404 |
| 30 | 0.247480363921161 | 0.494960727842322 | 0.752519636078839 |
| 31 | 0.155512041387076 | 0.311024082774152 | 0.844487958612924 |
| 32 | 0.293987458649638 | 0.587974917299276 | 0.706012541350362 |
| 33 | 0.333817053520566 | 0.667634107041132 | 0.666182946479434 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 0 | 0 | OK |
| 5% type I error level | 0 | 0 | OK |
| 10% type I error level | 0 | 0 | OK |
