| Multiple Linear Regression - Estimated Regression Equation |
| PS[t] = + 3.77484223461573 -0.0178250603078877LifeSpan[t] -0.568503582189054ODI[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) | 3.77484223461573 | 0.409256 | 9.2237 | 0 | 0 |
| LifeSpan | -0.0178250603078877 | 0.008542 | -2.0868 | 0.043496 | 0.021748 |
| ODI | -0.568503582189054 | 0.124676 | -4.5599 | 5e-05 | 2.5e-05 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.628258572450383 |
| R-squared | 0.394708833857393 |
| Adjusted R-squared | 0.363668261234695 |
| F-TEST (value) | 12.7159005297721 |
| F-TEST (DF numerator) | 2 |
| F-TEST (DF denominator) | 39 |
| p-value | 5.60150265349613e-05 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 1.10785569525163 |
| Sum Squared Residuals | 47.8664254185573 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 2 | 1.98911871666308 | 0.0108812833369248 |
| 2 | 1.8 | 0.270898744615258 | 1.52910125538474 |
| 3 | 0.7 | 1.01955127754655 | -0.319551277546546 |
| 4 | 3.9 | 2.86766250657681 | 1.03233749342319 |
| 5 | 1 | 0.958946072499724 | 0.0410539275002756 |
| 6 | 3.6 | 2.70723696380582 | 0.892763036194184 |
| 7 | 1.4 | 2.31508563703229 | -0.915085637032287 |
| 8 | 1.5 | 1.37605248370430 | 0.123947516295702 |
| 9 | 0.7 | 0.397572514433825 | 0.302427485566174 |
| 10 | 2.1 | 3.14395094134907 | -1.04395094134907 |
| 11 | 0 | 1.74658205484323 | -1.74658205484323 |
| 12 | 4.1 | 2.53088470839029 | 1.56911529160971 |
| 13 | 1.2 | 2.45245444303559 | -1.25245444303559 |
| 14 | 0.5 | 0.575823117512703 | -0.075823117512703 |
| 15 | 3.4 | 2.56831733503686 | 0.831682664963143 |
| 16 | 1.5 | 2.47551117980328 | -0.975511179803276 |
| 17 | 3.4 | 1.90890594527758 | 1.49109405472242 |
| 18 | 0.8 | 1.36535744751956 | -0.565357447519565 |
| 19 | 0.8 | 0.112371549507622 | 0.687628450492378 |
| 20 | 1.4 | 1.45448274905900 | -0.0544827490590037 |
| 21 | 2 | 2.77853720503737 | -0.778537205037368 |
| 22 | 1.9 | 1.4238326216379 | 0.4761673783621 |
| 23 | 1.3 | 2.01229129506332 | -0.712291295063325 |
| 24 | 2 | 2.03368136743279 | -0.0336813674327899 |
| 25 | 5.6 | 3.11721335088723 | 2.48278664911277 |
| 26 | 3.1 | 3.09047576042540 | 0.00952423957459711 |
| 27 | 1.8 | 2.42393434654297 | -0.623934346542966 |
| 28 | 0.9 | 1.14076168764018 | -0.240761687640179 |
| 29 | 1.8 | 2.40610928623508 | -0.606109286235079 |
| 30 | 1.9 | 1.01955127754654 | 0.880448722453457 |
| 31 | 0.9 | 0.611473238128478 | 0.288526761871522 |
| 32 | 2.6 | 1.98555370460149 | 0.614446295398507 |
| 33 | 2.4 | 3.03165306140937 | -0.631653061409373 |
| 34 | 1.2 | 2.12090832130888 | -0.920908321308875 |
| 35 | 0.9 | 2.51305964808241 | -1.61305964808241 |
| 36 | 0.5 | 1.96238112620124 | -1.46238112620124 |
| 37 | 0.6 | 0.575823117512703 | 0.0241768824872968 |
| 38 | 2.3 | 2.55762229885212 | -0.257622298852125 |
| 39 | 0.5 | 1.93564353573941 | -1.43564353573941 |
| 40 | 2.6 | 2.59683743152948 | 0.00316256847052259 |
| 41 | 0.6 | 1.07302645847021 | -0.473026458470206 |
| 42 | 6.6 | 3.15286347150301 | 3.44713652849699 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 6 | 0.0366151725530044 | 0.0732303451060087 | 0.963384827446996 |
| 7 | 0.46284278852637 | 0.92568557705274 | 0.53715721147363 |
| 8 | 0.312005423607445 | 0.62401084721489 | 0.687994576392555 |
| 9 | 0.196623969510326 | 0.393247939020652 | 0.803376030489674 |
| 10 | 0.181544273874275 | 0.36308854774855 | 0.818455726125725 |
| 11 | 0.394311289442406 | 0.788622578884811 | 0.605688710557595 |
| 12 | 0.496572616545774 | 0.993145233091548 | 0.503427383454226 |
| 13 | 0.517366804620388 | 0.965266390759223 | 0.482633195379612 |
| 14 | 0.419118939697382 | 0.838237879394763 | 0.580881060302618 |
| 15 | 0.371262191130789 | 0.742524382261577 | 0.628737808869211 |
| 16 | 0.331875804513511 | 0.663751609027022 | 0.668124195486489 |
| 17 | 0.377437888108121 | 0.754875776216243 | 0.622562111891879 |
| 18 | 0.327947718363555 | 0.655895436727111 | 0.672052281636445 |
| 19 | 0.274772732618476 | 0.549545465236952 | 0.725227267381524 |
| 20 | 0.205915625380579 | 0.411831250761158 | 0.794084374619421 |
| 21 | 0.171408107711991 | 0.342816215423983 | 0.828591892288009 |
| 22 | 0.130151746565825 | 0.260303493131651 | 0.869848253434175 |
| 23 | 0.101891584767605 | 0.20378316953521 | 0.898108415232395 |
| 24 | 0.0652163720686706 | 0.130432744137341 | 0.93478362793133 |
| 25 | 0.259130334453633 | 0.518260668907266 | 0.740869665546367 |
| 26 | 0.186347646330424 | 0.372695292660848 | 0.813652353669576 |
| 27 | 0.140625122500688 | 0.281250245001376 | 0.859374877499312 |
| 28 | 0.0936558677436233 | 0.187311735487247 | 0.906344132256377 |
| 29 | 0.0645485513166934 | 0.129097102633387 | 0.935451448683307 |
| 30 | 0.061053666910946 | 0.122107333821892 | 0.938946333089054 |
| 31 | 0.0442911907463384 | 0.0885823814926769 | 0.955708809253662 |
| 32 | 0.0302462532688060 | 0.0604925065376121 | 0.969753746731194 |
| 33 | 0.0199892887181545 | 0.0399785774363089 | 0.980010711281845 |
| 34 | 0.0276499263445447 | 0.0552998526890894 | 0.972350073655455 |
| 35 | 0.0963929098354717 | 0.192785819670943 | 0.903607090164528 |
| 36 | 0.0677855055251868 | 0.135571011050374 | 0.932214494474813 |
| 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 | 1 | 0.032258064516129 | OK |
| 10% type I error level | 5 | 0.161290322580645 | NOK |
