Multiple Linear Regression - Estimated Regression Equation |
ps[t] = -40.3961215598118 -0.0119341819566547bodyweight[t] + 0.0139807492183201brainweight[t] + 0.990410176730678sws[t] -0.473577436437146total[t] -0.0197265786482848lifespan[t] + 0.0406777177611083gesttime[t] -20.3079024082108pindex[t] -11.558727317186expindex[t] + 46.1266123589527dangindex[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) | -40.3961215598118 | 41.689289 | -0.969 | 0.33704 | 0.16852 |
bodyweight | -0.0119341819566547 | 0.056445 | -0.2114 | 0.833377 | 0.416688 |
brainweight | 0.0139807492183201 | 0.056232 | 0.2486 | 0.804628 | 0.402314 |
sws | 0.990410176730678 | 0.050384 | 19.6573 | 0 | 0 |
total | -0.473577436437146 | 0.082027 | -5.7734 | 0 | 0 |
lifespan | -0.0197265786482848 | 0.073468 | -0.2685 | 0.789373 | 0.394686 |
gesttime | 0.0406777177611083 | 0.066008 | 0.6163 | 0.540413 | 0.270207 |
pindex | -20.3079024082108 | 33.358598 | -0.6088 | 0.545324 | 0.272662 |
expindex | -11.558727317186 | 21.876741 | -0.5284 | 0.599499 | 0.29975 |
dangindex | 46.1266123589527 | 43.014957 | 1.0723 | 0.288519 | 0.14426 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.950818487496667 |
R-squared | 0.90405579616545 |
Adjusted R-squared | 0.887450068578701 |
F-TEST (value) | 54.4424079849933 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 52 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 133.755513609304 |
Sum Squared Residuals | 930307.945886209 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | -999 | -985.792525572154 | -13.2074744278459 |
2 | 2 | 29.5102056711370 | -27.5102056711370 |
3 | -999 | -1018.72938633679 | 19.7293863367855 |
4 | -999 | -1003.11453957673 | 4.11453957673273 |
5 | 1.8 | 83.6046825989939 | -81.8046825989939 |
6 | 0.7 | 30.1884931441184 | -29.4884931441184 |
7 | 3.9 | -18.7642987658212 | 22.6642987658212 |
8 | 1 | 23.0982893465926 | -22.0982893465926 |
9 | 3.6 | -31.4373917490865 | 35.0373917490865 |
10 | 1.4 | -8.61084671498927 | 10.0108467149893 |
11 | 1.5 | 5.81292366114574 | -4.31292366114574 |
12 | 0.7 | 43.4292558123286 | -42.7292558123286 |
13 | 2.7 | -18.5713572033264 | 21.2713572033264 |
14 | -999 | -942.300712683676 | -56.6992873163236 |
15 | 2.1 | -22.219302322812 | 24.319302322812 |
16 | 0 | -6.96503137669086 | 6.96503137669086 |
17 | 4.1 | -8.77705873265013 | 12.8770587326501 |
18 | 1.2 | -2.79085156054507 | 3.99085156054507 |
19 | 1.3 | -76.9096275600285 | 78.2096275600285 |
20 | 6.1 | -63.1817047296008 | 69.2817047296008 |
21 | 0.3 | -466.499645829593 | 466.799645829593 |
22 | 0.5 | 39.2760082755817 | -38.7760082755817 |
23 | 3.4 | -15.9638760495494 | 19.3638760495494 |
24 | -999 | -1043.23367781648 | 44.2336778164753 |
25 | 1.5 | -32.2042050249019 | 33.7042050249019 |
26 | -999 | -1018.23215580794 | 19.2321558079351 |
27 | 3.4 | -10.3334720920553 | 13.7334720920553 |
28 | 0.8 | 14.0209795939035 | -13.2209795939035 |
29 | 0.8 | 47.310250901928 | -46.510250901928 |
30 | -999 | -1016.04308594772 | 17.043085947725 |
31 | -999 | -489.53687644591 | -509.46312355409 |
32 | 1.4 | 23.5951443511802 | -22.1951443511802 |
33 | 2 | -16.2681639018945 | 18.2681639018945 |
34 | 1.9 | 2.71970612456138 | -0.819706124561384 |
35 | 2.4 | -22.3749288315831 | 24.7749288315831 |
36 | 2.8 | 50.1511414635826 | -47.3511414635826 |
37 | 1.3 | 11.4431069084305 | -10.1431069084305 |
38 | 2 | 11.0129364713576 | -9.0129364713576 |
39 | 5.6 | -41.5064928318232 | 47.1064928318232 |
40 | 3.1 | -35.6590973763958 | 38.7590973763958 |
41 | 1 | -464.11244575867 | 465.11244575867 |
42 | 1.8 | 0.796396722495174 | 1.00360327750483 |
43 | 0.9 | 29.3910961557869 | -28.4910961557869 |
44 | 1.8 | 5.5555640942222 | -3.75556409422220 |
45 | 1.9 | 23.4739164997327 | -21.5739164997327 |
46 | 0.9 | 35.3990799129508 | -34.4990799129508 |
47 | -999 | -1004.42632711352 | 5.42632711351589 |
48 | 2.6 | 30.5331456935059 | -27.9331456935059 |
49 | 2.4 | -20.8721531426917 | 23.2721531426916 |
50 | 1.2 | -11.1413049103495 | 12.3413049103495 |
51 | 0.9 | -0.179016341191218 | 1.07901634119122 |
52 | 0.5 | 25.5230050701619 | -25.0230050701619 |
53 | -999 | -952.78504479875 | -46.2149552012502 |
54 | 0.6 | 39.8055977386178 | -39.2055977386178 |
55 | -999 | -1002.9367560873 | 3.93675608730029 |
56 | 2.2 | -58.1736749178243 | 60.3736749178243 |
57 | 2.3 | 6.65600570986514 | -4.35600570986514 |
58 | 0.5 | 35.932661748279 | -35.432661748279 |
59 | 2.6 | -24.7336532595308 | 27.3336532595308 |
60 | 0.6 | 41.7614294851207 | -41.1614294851207 |
61 | 6.6 | -42.431129741381 | 49.031129741381 |
62 | -999 | -581.589204243635 | -417.410795756365 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 4.58127748115256e-06 | 9.16255496230512e-06 | 0.999995418722519 |
14 | 1.88089058774742e-07 | 3.76178117549484e-07 | 0.999999811910941 |
15 | 2.81832440068230e-09 | 5.63664880136459e-09 | 0.999999997181676 |
16 | 8.05645306936437e-11 | 1.61129061387287e-10 | 0.999999999919435 |
17 | 6.19889194007086e-12 | 1.23977838801417e-11 | 0.999999999993801 |
18 | 1.45793926461444e-13 | 2.91587852922888e-13 | 0.999999999999854 |
19 | 3.64946787422913e-15 | 7.29893574845826e-15 | 0.999999999999996 |
20 | 1.31572523571108e-16 | 2.63145047142215e-16 | 1 |
21 | 2.04073638853969e-16 | 4.08147277707938e-16 | 1 |
22 | 4.86180972531e-18 | 9.72361945062e-18 | 1 |
23 | 1.10125985156000e-19 | 2.20251970312000e-19 | 1 |
24 | 2.54182256192885e-21 | 5.0836451238577e-21 | 1 |
25 | 6.6995939335881e-23 | 1.33991878671762e-22 | 1 |
26 | 1.39037184176904e-24 | 2.78074368353808e-24 | 1 |
27 | 2.88841713328539e-26 | 5.77683426657078e-26 | 1 |
28 | 6.79226865172588e-28 | 1.35845373034518e-27 | 1 |
29 | 1.13228455355526e-27 | 2.26456910711052e-27 | 1 |
30 | 5.56416052516522e-29 | 1.11283210503304e-28 | 1 |
31 | 0.91388303461122 | 0.172233930777560 | 0.0861169653887798 |
32 | 0.879471609101742 | 0.241056781796515 | 0.120528390898258 |
33 | 0.828183960004915 | 0.343632079990169 | 0.171816039995085 |
34 | 0.94481787822669 | 0.110364243546619 | 0.0551821217733094 |
35 | 0.921468532408618 | 0.157062935182763 | 0.0785314675913816 |
36 | 0.99250052163237 | 0.0149989567352593 | 0.00749947836762966 |
37 | 0.986170222858744 | 0.0276595542825111 | 0.0138297771412556 |
38 | 0.9750909292763 | 0.0498181414474009 | 0.0249090707237005 |
39 | 0.96170993446189 | 0.0765801310762188 | 0.0382900655381094 |
40 | 0.954300724250218 | 0.0913985514995634 | 0.0456992757497817 |
41 | 1 | 2.55391830013340e-17 | 1.27695915006670e-17 |
42 | 1 | 1.25028224254436e-16 | 6.2514112127218e-17 |
43 | 0.999999999999998 | 3.59272642420620e-15 | 1.79636321210310e-15 |
44 | 0.999999999999938 | 1.23695773237166e-13 | 6.18478866185828e-14 |
45 | 0.9999999999978 | 4.40042727547494e-12 | 2.20021363773747e-12 |
46 | 0.999999999868426 | 2.63147454588857e-10 | 1.31573727294429e-10 |
47 | 0.99999999209596 | 1.58080790941156e-08 | 7.90403954705778e-09 |
48 | 0.999999701127084 | 5.97745831367916e-07 | 2.98872915683958e-07 |
49 | 0.999983537315112 | 3.29253697751051e-05 | 1.64626848875526e-05 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 27 | 0.72972972972973 | NOK |
5% type I error level | 30 | 0.810810810810811 | NOK |
10% type I error level | 32 | 0.864864864864865 | NOK |