| Multiple Linear Regression - Estimated Regression Equation |
| SWS[t] = + 12.1410965692719 -1.40571780289995logWb[t] -1.04345688160122`ODI `[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) | 12.1410965692719 | 1.032854 | 11.7549 | 0 | 0 |
| logWb | -1.40571780289995 | 0.400843 | -3.5069 | 0.001235 | 0.000617 |
| `ODI ` | -1.04345688160122 | 0.363538 | -2.8703 | 0.006826 | 0.003413 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.688297941868262 |
| R-squared | 0.473754056780086 |
| Adjusted R-squared | 0.444518171045646 |
| F-TEST (value) | 16.2045392119592 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 36 |
| p-value | 9.58071004308891e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.95760536353501 |
| Sum Squared Residuals | 314.907461510798 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 6.3 | 9.01072592446821 | -2.71072592446821 |
| 2 | 2.1 | 3.17935351768795 | -1.07935351768795 |
| 3 | 9.1 | 6.5288648429838 | 2.57113515701620 |
| 4 | 15.8 | 13.4859120688864 | 2.31408793111358 |
| 5 | 5.2 | 4.86889834303634 | 0.331101656963656 |
| 6 | 10.9 | 10.3687554111608 | 0.531244588839162 |
| 7 | 8.3 | 8.68354767365837 | -0.383547673658368 |
| 8 | 11 | 8.48250895959217 | 2.51749104040783 |
| 9 | 3.2 | 3.17412605683562 | 0.0258739431643839 |
| 10 | 6.3 | 12.6395856211239 | -6.33958562112394 |
| 11 | 6.6 | 10.1980902267854 | -3.59809022678537 |
| 12 | 9.5 | 11.0367373843853 | -1.53673738438526 |
| 13 | 3.3 | 4.89697488831252 | -1.59697488831252 |
| 14 | 11 | 11.3485941218114 | -0.348594121811357 |
| 15 | 4.7 | 8.38542115414034 | -3.68542115414034 |
| 16 | 10.4 | 10.4164437273681 | -0.0164437273681362 |
| 17 | 7.4 | 7.94332497499184 | -0.54332497499184 |
| 18 | 2.1 | 3.1047050064545 | -1.00470500645450 |
| 19 | 17.9 | 13.9090752934705 | 3.99092470652947 |
| 20 | 6.1 | 8.57804278067343 | -2.47804278067343 |
| 21 | 11.9 | 11.3989983056840 | 0.501001694316017 |
| 22 | 13.8 | 10.7736935367618 | 3.02630646323815 |
| 23 | 14.3 | 10.3328335522309 | 3.96716644776912 |
| 24 | 15.2 | 10.5022676740489 | 4.69773232595112 |
| 25 | 10 | 6.56155123996702 | 3.43844876003298 |
| 26 | 6.5 | 7.67275005630662 | -1.17275005630662 |
| 27 | 7.5 | 3.71413497427712 | 3.78586502572288 |
| 28 | 10.6 | 8.45133456933073 | 2.14866543066927 |
| 29 | 7.4 | 11.8747794856842 | -4.47477948568419 |
| 30 | 8.4 | 9.17228345195293 | -0.77228345195293 |
| 31 | 5.7 | 8.88391020599243 | -3.18391020599243 |
| 32 | 4.9 | 9.18635453134092 | -4.28635453134092 |
| 33 | 3.2 | 6.14180783181228 | -2.94180783181228 |
| 34 | 11 | 7.60219910639286 | 3.39780089360714 |
| 35 | 4.9 | 9.07504804418292 | -4.17504804418292 |
| 36 | 13.2 | 9.6310195814853 | 3.56898041851469 |
| 37 | 9.7 | 9.37298684576692 | 0.327013154233084 |
| 38 | 12.8 | 10.2229823583255 | 2.57701764167446 |
| 39 | 11.9 | 9.28937667062966 | 2.61062332937034 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.391071670165495 | 0.78214334033099 | 0.608928329834505 |
| 7 | 0.228180808407771 | 0.456361616815541 | 0.77181919159223 |
| 8 | 0.143831686456471 | 0.287663372912943 | 0.856168313543529 |
| 9 | 0.0726345061077537 | 0.145269012215507 | 0.927365493892246 |
| 10 | 0.489920557196147 | 0.979841114392294 | 0.510079442803853 |
| 11 | 0.494234213878414 | 0.988468427756829 | 0.505765786121586 |
| 12 | 0.394473677129783 | 0.788947354259566 | 0.605526322870217 |
| 13 | 0.333691204784145 | 0.667382409568289 | 0.666308795215855 |
| 14 | 0.244201480190096 | 0.488402960380192 | 0.755798519809904 |
| 15 | 0.241420176054113 | 0.482840352108225 | 0.758579823945887 |
| 16 | 0.166620899975825 | 0.33324179995165 | 0.833379100024175 |
| 17 | 0.111757921650266 | 0.223515843300531 | 0.888242078349734 |
| 18 | 0.0747069098705508 | 0.149413819741102 | 0.92529309012945 |
| 19 | 0.144368800868510 | 0.288737601737019 | 0.85563119913149 |
| 20 | 0.156181785294871 | 0.312363570589742 | 0.843818214705129 |
| 21 | 0.130714144164674 | 0.261428288329349 | 0.869285855835326 |
| 22 | 0.156619081910188 | 0.313238163820376 | 0.843380918089812 |
| 23 | 0.208509278142142 | 0.417018556284283 | 0.791490721857858 |
| 24 | 0.418308527203263 | 0.836617054406527 | 0.581691472796737 |
| 25 | 0.418762612546298 | 0.837525225092597 | 0.581237387453702 |
| 26 | 0.327867957808784 | 0.655735915617569 | 0.672132042191216 |
| 27 | 0.290362269994131 | 0.580724539988262 | 0.709637730005869 |
| 28 | 0.259770758472159 | 0.519541516944317 | 0.740229241527841 |
| 29 | 0.354732901159455 | 0.70946580231891 | 0.645267098840545 |
| 30 | 0.263154061814887 | 0.526308123629773 | 0.736845938185113 |
| 31 | 0.365691596304897 | 0.731383192609794 | 0.634308403695103 |
| 32 | 0.500402388392088 | 0.999195223215825 | 0.499597611607912 |
| 33 | 0.358500562470453 | 0.717001124940906 | 0.641499437529547 |
| 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 |
