Multiple Linear Regression - Estimated Regression Equation |
SWS[t] = + 12.9287686106582 + 0.106606074538538PS[t] + 0.000246988712017691LifeSpan[t] + 0.00318595520151939BodyW[t] -0.00132557005859304BrainW[t] -0.0132700427644034GT[t] + 1.31878955543532PI[t] + 0.186037336578466SEI[t] -2.61378468965366ODI[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) | 12.9287686106582 | 2.370019 | 5.4551 | 5e-06 | 2e-06 |
PS | 0.106606074538538 | 0.52893 | 0.2016 | 0.841505 | 0.420753 |
LifeSpan | 0.000246988712017691 | 0.044702 | 0.0055 | 0.995625 | 0.497812 |
BodyW | 0.00318595520151939 | 0.005694 | 0.5595 | 0.579597 | 0.289798 |
BrainW | -0.00132557005859304 | 0.003393 | -0.3906 | 0.698575 | 0.349287 |
GT | -0.0132700427644034 | 0.007165 | -1.8522 | 0.072965 | 0.036482 |
PI | 1.31878955543532 | 1.145813 | 1.151 | 0.258019 | 0.129009 |
SEI | 0.186037336578466 | 0.680124 | 0.2735 | 0.786147 | 0.393074 |
ODI | -2.61378468965366 | 1.587451 | -1.6465 | 0.109147 | 0.054573 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.735505789285703 |
R-squared | 0.540968766072785 |
Adjusted R-squared | 0.429688466938915 |
F-TEST (value) | 4.86131660575427 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 33 |
p-value | 0.000508434878703889 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.89799308463584 |
Sum Squared Residuals | 277.146009313706 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 6.3 | 8.88123953957267 | -2.58123953957267 |
2 | 2.1 | 1.30164059011887 | 0.798359409881132 |
3 | 9.1 | 5.98129467176615 | 3.11870532823385 |
4 | 15.8 | 11.7754913984449 | 4.02450860155511 |
5 | 5.2 | 3.87696401675581 | 1.32303598324419 |
6 | 10.9 | 11.5371120663796 | -0.637112066379641 |
7 | 8.3 | 8.5122275146907 | -0.212227514690696 |
8 | 11 | 8.47999060129845 | 2.52000939870155 |
9 | 3.2 | 4.65788455312067 | -1.45788455312067 |
10 | 6.3 | 11.4858544965062 | -5.18585449650618 |
11 | 8.6 | 10.3280598677158 | -1.72805986771578 |
12 | 6.6 | 10.5899395367817 | -3.98993953678175 |
13 | 9.5 | 9.24295319644862 | 0.257046803551381 |
14 | 3.3 | 5.4139390689726 | -2.1139390689726 |
15 | 11 | 11.9937652039783 | -0.99376520397835 |
16 | 4.7 | 8.08820380129715 | -3.38820380129715 |
17 | 10.4 | 11.8555415111292 | -1.45554151112918 |
18 | 7.4 | 8.80651146290563 | -1.40651146290563 |
19 | 2.1 | 3.81352586561612 | -1.71352586561612 |
20 | 7.7 | 9.30406740791544 | -1.60406740791544 |
21 | 17.9 | 11.3751490200010 | 6.52485097999898 |
22 | 6.1 | 6.951736552899 | -0.851736552899002 |
23 | 11.9 | 10.4354005972181 | 1.46459940278193 |
24 | 10.8 | 10.3639304313163 | 0.436069568683673 |
25 | 13.8 | 13.5746538487302 | 0.225346151269844 |
26 | 14.3 | 11.8751141809953 | 2.42488581900466 |
27 | 15.2 | 9.0288847496641 | 6.1711152503359 |
28 | 10 | 6.21738378449458 | 3.78261621550542 |
29 | 11.9 | 10.4843764879892 | 1.41562351201077 |
30 | 6.5 | 7.54920352718501 | -1.04920352718501 |
31 | 7.5 | 7.06492505095818 | 0.435074949041824 |
32 | 10.6 | 9.22785977162097 | 1.37214022837903 |
33 | 7.4 | 11.3347274468650 | -3.93472744686496 |
34 | 8.4 | 8.6400807555717 | -0.240080755571703 |
35 | 5.7 | 7.80885273613695 | -2.10885273613695 |
36 | 4.9 | 6.46851569620575 | -1.56851569620575 |
37 | 3.2 | 5.39395233742796 | -2.19395233742796 |
38 | 11 | 9.97433941110753 | 1.02566058889247 |
39 | 4.9 | 6.62103484299272 | -1.72103484299272 |
40 | 13.2 | 11.6939818856835 | 1.50601811431646 |
41 | 9.7 | 5.52654856570306 | 4.17345143429694 |
42 | 12.8 | 13.6631419478192 | -0.86314194781921 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 0.889813992174752 | 0.220372015650496 | 0.110186007825248 |
13 | 0.867632310015104 | 0.264735379969792 | 0.132367689984896 |
14 | 0.821205954667394 | 0.357588090665212 | 0.178794045332606 |
15 | 0.747850157105808 | 0.504299685788384 | 0.252149842894192 |
16 | 0.822035094687942 | 0.355929810624115 | 0.177964905312057 |
17 | 0.836483859386122 | 0.327032281227757 | 0.163516140613878 |
18 | 0.775693672591228 | 0.448612654817544 | 0.224306327408772 |
19 | 0.758590731832849 | 0.482818536334303 | 0.241409268167151 |
20 | 0.693128384591082 | 0.613743230817835 | 0.306871615408918 |
21 | 0.870733315599069 | 0.258533368801862 | 0.129266684400931 |
22 | 0.817493745384581 | 0.365012509230838 | 0.182506254615419 |
23 | 0.74544298434179 | 0.509114031316421 | 0.254557015658210 |
24 | 0.642345879747288 | 0.715308240505424 | 0.357654120252712 |
25 | 0.527871862127049 | 0.944256275745901 | 0.472128137872951 |
26 | 0.426066079841085 | 0.85213215968217 | 0.573933920158915 |
27 | 0.790121160182274 | 0.419757679635451 | 0.209878839817726 |
28 | 0.877981584437563 | 0.244036831124873 | 0.122018415562437 |
29 | 0.769277738816762 | 0.461444522366476 | 0.230722261183238 |
30 | 0.615182510508502 | 0.769634978982996 | 0.384817489491498 |
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 |