Multiple Linear Regression - Estimated Regression Equation |
sws[t] = + 11.5047546134694 -0.017006875090139bodyweight[t] + 0.00947466732700596brainweight[t] + 0.88992325198032ps[t] + 0.514276787763356total[t] + 0.0419547242105247lifespan[t] -0.0599250775070244gesttime[t] + 16.8380493297638pindex[t] -0.744570060249773expindex[t] -27.3399375680966dangindex[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) | 11.5047546134694 | 39.841086 | 0.2888 | 0.773908 | 0.386954 |
bodyweight | -0.017006875090139 | 0.053476 | -0.318 | 0.751735 | 0.375868 |
brainweight | 0.00947466732700596 | 0.053318 | 0.1777 | 0.859648 | 0.429824 |
ps | 0.88992325198032 | 0.045272 | 19.6573 | 0 | 0 |
total | 0.514276787763356 | 0.069534 | 7.3961 | 0 | 0 |
lifespan | 0.0419547242105247 | 0.069446 | 0.6041 | 0.548383 | 0.274192 |
gesttime | -0.0599250775070244 | 0.062245 | -0.9627 | 0.340142 | 0.170071 |
pindex | 16.8380493297638 | 31.647525 | 0.532 | 0.596958 | 0.298479 |
expindex | -0.744570060249773 | 20.792592 | -0.0358 | 0.971571 | 0.485786 |
dangindex | -27.3399375680966 | 41.04811 | -0.666 | 0.508326 | 0.254163 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.961275674554623 |
R-squared | 0.924050922490445 |
Adjusted R-squared | 0.91090588984456 |
F-TEST (value) | 70.2965863519368 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 52 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 126.788663342079 |
Sum Squared Residuals | 835918.987907692 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | -999 | -1007.13664544693 | 8.13664544692746 |
2 | 6.3 | -16.9796673864623 | 23.2796673864623 |
3 | -999 | -884.990656654014 | -114.009343345986 |
4 | -999 | -911.734250438054 | -87.2657495619457 |
5 | 2.1 | -81.6591461872654 | 83.7591461872654 |
6 | 9.1 | -35.9506759289773 | 45.0506759289773 |
7 | 15.8 | 12.5624630058735 | 3.23753699412646 |
8 | 5.2 | -53.4822973079091 | 58.6822973079091 |
9 | 10.9 | 7.76034457506116 | 3.13965542493884 |
10 | 8.3 | -1.91058288794458 | 10.2105828879446 |
11 | 11 | -15.2442001884180 | 26.244200188418 |
12 | 3.2 | -61.5796288215291 | 64.7796288215291 |
13 | 7.6 | 15.4220201343521 | -7.82202013435213 |
14 | -999 | -951.57317260671 | -47.4268273932907 |
15 | 6.3 | 4.08714252586031 | 2.21285747413969 |
16 | 8.6 | -5.95970151069651 | 14.5597015106965 |
17 | 6.6 | -4.08202899284149 | 10.6820289928415 |
18 | 9.5 | -11.1282006596878 | 20.6282006596878 |
19 | 4.8 | 65.2411549245888 | -60.4411549245888 |
20 | 12 | 74.9011090575539 | -62.9011090575539 |
21 | -999 | -583.572232744676 | -415.427767255324 |
22 | 3.3 | -49.7389638691691 | 53.0389638691691 |
23 | 11 | 16.2380382334682 | -5.23803823346821 |
24 | -999 | -897.963428220233 | -101.036571779767 |
25 | 4.7 | -11.9303906794403 | 16.6303906794403 |
26 | -999 | -884.670684549709 | -114.329315450291 |
27 | 10.4 | 21.7892485482383 | -11.3892485482383 |
28 | 7.4 | -14.6910767758762 | 22.0910767758762 |
29 | 2.1 | -63.3837791447948 | 65.4837791447948 |
30 | -999 | -888.486729772669 | -110.513270227331 |
31 | -999 | -1455.21786248575 | 456.217862485749 |
32 | 7.7 | -10.4061432735818 | 18.1061432735818 |
33 | 17.9 | 10.2851089991206 | 7.61489100087937 |
34 | 6.1 | 5.71097613849235 | 0.389023861507651 |
35 | 8.2 | -19.0006772486097 | 27.2006772486097 |
36 | 8.4 | -57.0494074834373 | 65.4494074834373 |
37 | 11.9 | 3.03700034767987 | 8.86299965232013 |
38 | 10.8 | 2.74362598874067 | 8.05637401125933 |
39 | 13.8 | 31.5783369458249 | -17.7783369458249 |
40 | 14.3 | 21.9280225837138 | -7.6280225837138 |
41 | -999 | -582.586158997079 | -416.413841002921 |
42 | 15.2 | -8.39095485508576 | 23.5909548550858 |
43 | 10 | -35.4947904228951 | 45.4947904228951 |
44 | 11.9 | -1.98899291052397 | 13.8889929105240 |
45 | 6.5 | -34.7887856429552 | 41.2887856429552 |
46 | 7.5 | -40.6370470154457 | 48.1370470154457 |
47 | -999 | -896.49504954742 | -102.50495045258 |
48 | 10.6 | -12.6912255891155 | 23.2912255891155 |
49 | 7.4 | 5.13457602389283 | 2.26542397610717 |
50 | 8.4 | -12.7584739871665 | 21.1584739871665 |
51 | 5.7 | -19.8786803754774 | 25.5786803754774 |
52 | 4.9 | -31.3616647723908 | 36.2616647723908 |
53 | -999 | -940.021076900148 | -58.978923099852 |
54 | 3.2 | -49.7347381393811 | 52.9347381393811 |
55 | -999 | -899.130254308336 | -99.869745691664 |
56 | 8.1 | 73.8697876937131 | -65.7697876937131 |
57 | 11 | -4.75426761064344 | 15.7542676106434 |
58 | 4.9 | -29.1112542937503 | 34.0112542937503 |
59 | 13.2 | 13.6511213015473 | -0.451121301547339 |
60 | 9.7 | -38.0045846525441 | 47.7045846525441 |
61 | 12.8 | 32.2111490176230 | -19.4111490176230 |
62 | -999 | -1370.50099475960 | 371.500994759604 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 5.85530466046474e-06 | 1.17106093209295e-05 | 0.99999414469534 |
14 | 2.49212117623842e-07 | 4.98424235247683e-07 | 0.999999750787882 |
15 | 3.98543394847371e-09 | 7.97086789694742e-09 | 0.999999996014566 |
16 | 1.21712211831184e-10 | 2.43424423662368e-10 | 0.999999999878288 |
17 | 9.92726712757985e-12 | 1.98545342551597e-11 | 0.999999999990073 |
18 | 2.48247394380322e-13 | 4.96494788760645e-13 | 0.999999999999752 |
19 | 6.35539135521118e-15 | 1.27107827104224e-14 | 0.999999999999994 |
20 | 2.34335570564125e-16 | 4.68671141128249e-16 | 1 |
21 | 3.33350154203865e-16 | 6.66700308407729e-16 | 1 |
22 | 8.35528973323593e-18 | 1.67105794664719e-17 | 1 |
23 | 1.97642588343573e-19 | 3.95285176687147e-19 | 1 |
24 | 5.04058730927046e-21 | 1.00811746185409e-20 | 1 |
25 | 1.40080590755669e-22 | 2.80161181511339e-22 | 1 |
26 | 3.83930412639129e-24 | 7.67860825278258e-24 | 1 |
27 | 8.45628647743007e-26 | 1.69125729548601e-25 | 1 |
28 | 2.12207622127697e-27 | 4.24415244255393e-27 | 1 |
29 | 3.61629807051675e-27 | 7.23259614103349e-27 | 1 |
30 | 9.35930372294388e-29 | 1.87186074458878e-28 | 1 |
31 | 0.902620666720271 | 0.194758666559458 | 0.097379333279729 |
32 | 0.865002988309182 | 0.269994023381636 | 0.134997011690818 |
33 | 0.811984244875292 | 0.376031510249415 | 0.188015755124708 |
34 | 0.914670732841112 | 0.170658534317775 | 0.0853292671588876 |
35 | 0.88875952533311 | 0.222480949333782 | 0.111240474666891 |
36 | 0.987863550418147 | 0.0242728991637053 | 0.0121364495818526 |
37 | 0.978915348696273 | 0.0421693026074549 | 0.0210846513037275 |
38 | 0.964350020467864 | 0.0712999590642716 | 0.0356499795321358 |
39 | 0.94789343657785 | 0.104213126844302 | 0.0521065634221509 |
40 | 0.94085475307039 | 0.118290493859219 | 0.0591452469296094 |
41 | 1 | 5.27468078619429e-17 | 2.63734039309714e-17 |
42 | 1 | 2.40005524123124e-16 | 1.20002762061562e-16 |
43 | 0.999999999999997 | 6.4527984397826e-15 | 3.2263992198913e-15 |
44 | 0.999999999999896 | 2.08111843611861e-13 | 1.04055921805931e-13 |
45 | 0.999999999996525 | 6.95001013431229e-12 | 3.47500506715615e-12 |
46 | 0.99999999980438 | 3.91240936915283e-10 | 1.95620468457641e-10 |
47 | 0.999999989581404 | 2.08371916402400e-08 | 1.04185958201200e-08 |
48 | 0.999999626662796 | 7.46674409060586e-07 | 3.73337204530293e-07 |
49 | 0.99998053327302 | 3.89334539618300e-05 | 1.94667269809150e-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 | 29 | 0.783783783783784 | NOK |
10% type I error level | 30 | 0.810810810810811 | NOK |