| Multiple Linear Regression - Estimated Regression Equation |
| PS[t] = + 3.62388684905666 + 0.0115328862754582SWS[t] -0.0133813431715984LifeSpan[t] + 0.00133188408343262BodyW[t] + 0.000311047350003712BrainW[t] -0.00484781985414119GT[t] + 0.8840450491086PI[t] + 0.357433139265944SEI[t] -1.70617590983705ODI[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) | 3.62388684905666 | 0.870444 | 4.1633 | 0.000211 | 0.000106 |
| SWS | 0.0115328862754582 | 0.057221 | 0.2016 | 0.841505 | 0.420753 |
| LifeSpan | -0.0133813431715984 | 0.014517 | -0.9218 | 0.363343 | 0.181672 |
| BodyW | 0.00133188408343262 | 0.001867 | 0.7132 | 0.480724 | 0.240362 |
| BrainW | 0.000311047350003712 | 0.001117 | 0.2784 | 0.782462 | 0.391231 |
| GT | -0.00484781985414119 | 0.002328 | -2.0827 | 0.045111 | 0.022555 |
| PI | 0.8840450491086 | 0.352207 | 2.51 | 0.017156 | 0.008578 |
| SEI | 0.357433139265944 | 0.215137 | 1.6614 | 0.106101 | 0.05305 |
| ODI | -1.70617590983705 | 0.454756 | -3.7519 | 0.000677 | 0.000338 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.787947573648145 |
| R-squared | 0.620861378817999 |
| Adjusted R-squared | 0.52894898580418 |
| F-TEST (value) | 6.75492562493347 |
| F-TEST (DF numerator) | 8 |
| F-TEST (DF denominator) | 33 |
| p-value | 3.14250718375098e-05 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.953180992750902 |
| Sum Squared Residuals | 29.9822821630727 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 2 | 1.32714490812000 | 0.672855091880002 |
| 2 | 1.8 | 2.13841055928803 | -0.338410559288035 |
| 3 | 0.7 | 0.706025765340633 | -0.00602576534063304 |
| 4 | 3.9 | 2.91761346313001 | 0.982386536869987 |
| 5 | 1 | 0.141030351364891 | 0.85896964863511 |
| 6 | 3.6 | 2.97459849728238 | 0.625401502717623 |
| 7 | 1.4 | 1.67717826644156 | -0.277178266441559 |
| 8 | 1.5 | 2.14193428925577 | -0.641934289255774 |
| 9 | 0.7 | 0.324524931511732 | 0.375475068488268 |
| 10 | 2.1 | 2.98187632428129 | -0.88187632428129 |
| 11 | 0 | 2.00063994960512 | -2.00063994960512 |
| 12 | 4.1 | 2.48884615737667 | 1.61115384262333 |
| 13 | 1.2 | 2.08497108783365 | -0.884971087833654 |
| 14 | 0.5 | 0.425962923606475 | 0.0740370763935246 |
| 15 | 3.4 | 3.21868358240888 | 0.18131641759112 |
| 16 | 1.5 | 2.09110128264438 | -0.591101282644382 |
| 17 | 3.4 | 3.14816718685134 | 0.251832813148663 |
| 18 | 0.8 | 1.94879719317374 | -1.14879719317374 |
| 19 | 0.8 | -0.0221443322415236 | 0.822144332241524 |
| 20 | 1.4 | 1.88410854504362 | -0.484108545043622 |
| 21 | 2 | 2.80217564377778 | -0.80217564377778 |
| 22 | 1.9 | 1.09019683083664 | 0.809803169163356 |
| 23 | 1.3 | 2.40143997881994 | -1.10143997881994 |
| 24 | 2 | 2.35149692111489 | -0.351496921114892 |
| 25 | 5.6 | 4.08153125444326 | 1.51846874555674 |
| 26 | 3.1 | 3.54745824300154 | -0.447458243001537 |
| 27 | 1.8 | 2.03598091816478 | -0.235980918164783 |
| 28 | 0.9 | 0.8350816047757 | 0.0649183952242993 |
| 29 | 1.8 | 2.22363280679769 | -0.423632806797694 |
| 30 | 1.9 | 1.23297444215747 | 0.667025557842527 |
| 31 | 0.9 | 1.00284167938657 | -0.102841679386569 |
| 32 | 2.6 | 1.47344338832202 | 1.12655661167798 |
| 33 | 2.4 | 2.88262600606907 | -0.482626006069074 |
| 34 | 1.2 | 2.03043366947395 | -0.830433669473952 |
| 35 | 0.9 | 1.58062478398644 | -0.680624783986437 |
| 36 | 0.5 | 0.769150938992037 | -0.269150938992037 |
| 37 | 0.6 | 0.466008669299492 | 0.133991330700508 |
| 38 | 2.3 | 2.11484219916019 | 0.185157800839807 |
| 39 | 0.5 | 0.508004154843701 | -0.0080041548437012 |
| 40 | 2.6 | 3.47790988581082 | -0.877909885810824 |
| 41 | 0.6 | 0.203958755934443 | 0.396041244065557 |
| 42 | 6.6 | 4.08871629251288 | 2.51128370748712 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 12 | 0.847197977928971 | 0.305604044142057 | 0.152802022071029 |
| 13 | 0.918518810488964 | 0.162962379022071 | 0.0814811895110357 |
| 14 | 0.851928665608718 | 0.296142668782563 | 0.148071334391282 |
| 15 | 0.792307659070176 | 0.415384681859648 | 0.207692340929824 |
| 16 | 0.688933866459996 | 0.622132267080008 | 0.311066133540004 |
| 17 | 0.637761042915091 | 0.724477914169817 | 0.362238957084909 |
| 18 | 0.615801659997283 | 0.768396680005434 | 0.384198340002717 |
| 19 | 0.552140487220982 | 0.895719025558035 | 0.447859512779018 |
| 20 | 0.455568319206317 | 0.911136638412635 | 0.544431680793683 |
| 21 | 0.426613370503553 | 0.853226741007106 | 0.573386629496447 |
| 22 | 0.433715603621255 | 0.867431207242511 | 0.566284396378745 |
| 23 | 0.494237594028262 | 0.988475188056524 | 0.505762405971738 |
| 24 | 0.533064867212302 | 0.933870265575397 | 0.466935132787698 |
| 25 | 0.597559764038082 | 0.804880471923836 | 0.402440235961918 |
| 26 | 0.543602264932501 | 0.912795470134997 | 0.456397735067499 |
| 27 | 0.415733184939844 | 0.831466369879689 | 0.584266815060156 |
| 28 | 0.305790160235867 | 0.611580320471734 | 0.694209839764133 |
| 29 | 0.244441407490259 | 0.488882814980519 | 0.755558592509741 |
| 30 | 0.24222925153889 | 0.48445850307778 | 0.75777074846111 |
| 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 |
