| Multiple Linear Regression - Estimated Regression Equation |
| LifeSpan[t] = + 25.1409590095113 -0.0257142684662824BodyWt[t] -0.890674525584274TotalSleep[t] + 0.0313667656126427BrainWt[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) | 25.1409590095113 | 4.932367 | 5.0971 | 5e-06 | 3e-06 |
| BodyWt | -0.0257142684662824 | 0.005301 | -4.8512 | 1.2e-05 | 6e-06 |
| TotalSleep | -0.890674525584274 | 0.414099 | -2.1509 | 0.036344 | 0.018172 |
| BrainWt | 0.0313667656126427 | 0.005235 | 5.9923 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.731578731233332 |
| R-squared | 0.535207439992971 |
| Adjusted R-squared | 0.50731988639255 |
| F-TEST (value) | 19.1916238929211 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 50 |
| p-value | 2.04492558442126e-08 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 13.2034675919384 |
| Sum Squared Residuals | 8716.57782256832 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 38.6 | 30.2659558798556 | 8.33404412014445 |
| 2 | 4.5 | 17.929666831739 | -13.429666831739 |
| 3 | 14 | 15.3163057107121 | -1.31630571071212 |
| 4 | 69 | 100.554308691106 | -31.5543086911059 |
| 5 | 27 | 21.7713975539355 | 5.22860244606449 |
| 6 | 19 | 7.60348945701018 | 11.3965105429898 |
| 7 | 30.4 | 20.8054773848203 | 9.59452261517975 |
| 8 | 28 | 12.9443105022843 | 15.0556894977157 |
| 9 | 50 | 28.9615367377054 | 21.0384632622946 |
| 10 | 7 | 14.1973461755306 | -7.19734617553063 |
| 11 | 30 | 22.9783353770592 | 7.02166462294079 |
| 12 | 40 | 30.7114031418559 | 9.28859685814407 |
| 13 | 3.5 | 17.6950045432036 | -14.1950045432036 |
| 14 | 50 | 18.1881844244038 | 31.8118155755962 |
| 15 | 6 | 15.7003395646578 | -9.7003395646578 |
| 16 | 10.4 | 15.7624325601295 | -5.36243256012954 |
| 17 | 34 | 20.220505683131 | 13.779494316869 |
| 18 | 7 | 10.0176020030831 | -3.01760200308307 |
| 19 | 20 | 24.6523171919676 | -4.65231719196761 |
| 20 | 3.9 | 12.3435268944945 | -8.44352689449445 |
| 21 | 39.3 | 21.8649179687125 | 17.4350820312875 |
| 22 | 41 | 27.6272629553637 | 13.3727370446363 |
| 23 | 16.2 | 16.3763192942465 | -0.176319294246517 |
| 24 | 9 | 12.9725204777838 | -3.97252047778381 |
| 25 | 7.6 | 17.9832022713849 | -10.3832022713849 |
| 26 | 46 | 29.7061004906648 | 16.2938995093352 |
| 27 | 22.4 | 17.8748294877578 | 4.52517051224218 |
| 28 | 2.6 | 17.0400836025379 | -14.4400836025379 |
| 29 | 24 | 7.42412049910276 | 16.5758795008972 |
| 30 | 100 | 57.825408768616 | 42.174591231384 |
| 31 | 3.2 | 13.3960105498692 | -10.1960105498692 |
| 32 | 2 | 13.7494418297984 | -11.7494418297984 |
| 33 | 5 | 8.01576958014336 | -3.01576958014336 |
| 34 | 6.5 | 9.8919833933295 | -3.3919833933295 |
| 35 | 12 | 10.4733340927108 | 1.5266659072892 |
| 36 | 20.2 | 18.7826420414338 | 1.41735795856619 |
| 37 | 13 | 13.2546420220755 | -0.254642022075509 |
| 38 | 27 | 18.3681712593529 | 8.63182874064712 |
| 39 | 18 | 17.9745451873507 | 0.0254548126493214 |
| 40 | 13.7 | 15.1268418685401 | -1.42684186854006 |
| 41 | 4.7 | 13.4364521312924 | -8.73645213129236 |
| 42 | 9.8 | 17.8843337187079 | -8.08433371870791 |
| 43 | 29 | 22.0302775829946 | 6.96972241700539 |
| 44 | 7 | 19.6290326563409 | -12.6290326563409 |
| 45 | 6 | 20.8974472827431 | -14.8974472827431 |
| 46 | 17 | 25.5240790247987 | -8.52407902479874 |
| 47 | 20 | 25.8184378946249 | -5.81843789462487 |
| 48 | 12.7 | 15.6996238223895 | -2.99962382238954 |
| 49 | 3.5 | 15.9968353054979 | -12.4968353054979 |
| 50 | 4.5 | 13.3533985682137 | -8.85339856821368 |
| 51 | 7.5 | 20.6656992514592 | -13.1656992514592 |
| 52 | 2.3 | 11.1440441353909 | -8.84404413539089 |
| 53 | 24 | 17.6785410166528 | 6.32145898334716 |
| 54 | 3 | 7.89420365943371 | -4.89420365943371 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.775908057512323 | 0.448183884975354 | 0.224091942487677 |
| 8 | 0.773575151219844 | 0.452849697560313 | 0.226424848780156 |
| 9 | 0.947071302749593 | 0.105857394500815 | 0.0529286972504075 |
| 10 | 0.955868696705811 | 0.0882626065883771 | 0.0441313032941885 |
| 11 | 0.928654818747505 | 0.142690362504989 | 0.0713451812524947 |
| 12 | 0.903777045149851 | 0.192445909700297 | 0.0962229548501485 |
| 13 | 0.951845707069454 | 0.096308585861092 | 0.048154292930546 |
| 14 | 0.99985494359768 | 0.000290112804640772 | 0.000145056402320386 |
| 15 | 0.999876580496795 | 0.000246839006409766 | 0.000123419503204883 |
| 16 | 0.999800532621681 | 0.000398934756637103 | 0.000199467378318551 |
| 17 | 0.999988938172246 | 2.21236555085045e-05 | 1.10618277542522e-05 |
| 18 | 0.999982247866946 | 3.5504266108973e-05 | 1.77521330544865e-05 |
| 19 | 0.999969503472463 | 6.09930550746127e-05 | 3.04965275373063e-05 |
| 20 | 0.999960795992156 | 7.84080156877235e-05 | 3.92040078438618e-05 |
| 21 | 0.999961882717794 | 7.62345644113939e-05 | 3.81172822056969e-05 |
| 22 | 0.999973199508561 | 5.36009828780762e-05 | 2.68004914390381e-05 |
| 23 | 0.999935956696878 | 0.000128086606244851 | 6.40433031224253e-05 |
| 24 | 0.999868231581541 | 0.000263536836917119 | 0.000131768418458559 |
| 25 | 0.999825458293837 | 0.000349083412327061 | 0.00017454170616353 |
| 26 | 0.99986136105094 | 0.000277277898119148 | 0.000138638949059574 |
| 27 | 0.999682008151897 | 0.000635983696206211 | 0.000317991848103106 |
| 28 | 0.999729079399329 | 0.000541841201342086 | 0.000270920600671043 |
| 29 | 0.999983556532538 | 3.28869349237093e-05 | 1.64434674618546e-05 |
| 30 | 0.999999698213467 | 6.03573066747033e-07 | 3.01786533373516e-07 |
| 31 | 0.99999933017808 | 1.33964383963347e-06 | 6.69821919816734e-07 |
| 32 | 0.999998841868244 | 2.31626351156825e-06 | 1.15813175578413e-06 |
| 33 | 0.999996548605848 | 6.90278830376801e-06 | 3.45139415188401e-06 |
| 34 | 0.99998956560914 | 2.08687817195762e-05 | 1.04343908597881e-05 |
| 35 | 0.999971389578922 | 5.72208421554337e-05 | 2.86104210777168e-05 |
| 36 | 0.999912287343427 | 0.000175425313146597 | 8.77126565732983e-05 |
| 37 | 0.999822826562838 | 0.000354346874324282 | 0.000177173437162141 |
| 38 | 0.999824771351444 | 0.000350457297111631 | 0.000175228648555815 |
| 39 | 0.999937711471977 | 0.000124577056045936 | 6.22885280229679e-05 |
| 40 | 0.999833596361918 | 0.000332807276164387 | 0.000166403638082194 |
| 41 | 0.999466058611918 | 0.00106788277616331 | 0.000533941388081656 |
| 42 | 0.998560014262991 | 0.00287997147401843 | 0.00143998573700921 |
| 43 | 0.998907432361341 | 0.00218513527731883 | 0.00109256763865942 |
| 44 | 0.996378045815889 | 0.00724390836822189 | 0.00362195418411095 |
| 45 | 0.989248078714551 | 0.0215038425708972 | 0.0107519212854486 |
| 46 | 0.996754604611161 | 0.00649079077767777 | 0.00324539538883889 |
| 47 | 0.986590556721767 | 0.0268188865564666 | 0.0134094432782333 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 32 | 0.780487804878049 | NOK |
| 5% type I error level | 34 | 0.829268292682927 | NOK |
| 10% type I error level | 36 | 0.878048780487805 | NOK |
