Multiple Linear Regression - Estimated Regression Equation |
logPS[t] = + 1.07450734616664 -0.303538833951603LogGestationTime[t] -0.110510503182968danger[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) | 1.07450734616664 | 0.128751 | 8.3456 | 0 | 0 |
LogGestationTime | -0.303538833951603 | 0.068904 | -4.4053 | 9.1e-05 | 4.5e-05 |
danger | -0.110510503182968 | 0.022191 | -4.98 | 1.6e-05 | 8e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.809091592228325 |
R-squared | 0.654629204614566 |
Adjusted R-squared | 0.635441938204264 |
F-TEST (value) | 34.1178983298573 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 36 |
p-value | 4.88811024990099e-09 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.181764075869477 |
Sum Squared Residuals | 1.18937445396066 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0.30103 | 0.250256727944634 | 0.0507732720553663 |
2 | 0.255273 | -0.215981862144241 | 0.471254862144242 |
3 | -0.154902 | -0.0520976032277633 | -0.102804396772237 |
4 | 0.591065 | 0.49531224272169 | 0.0957527572783097 |
5 | 0 | -0.154697675108247 | 0.154697675108247 |
6 | 0.556303 | 0.417826973962363 | 0.138476026037637 |
7 | 0.146128 | 0.247120679752823 | -0.100992679752823 |
8 | 0.176091 | 0.0104480912021337 | 0.165642908797866 |
9 | -0.154902 | -0.221322533678492 | 0.0664205336784922 |
10 | 0.322219 | 0.471277734310569 | -0.149058734310569 |
11 | 0.612784 | 0.3607672311276 | 0.252016768872400 |
12 | 0.079181 | 0.222374163486378 | -0.143193163486378 |
13 | -0.30103 | -0.136803966597672 | -0.164226033402328 |
14 | 0.531479 | 0.487989159062902 | 0.0434898409370984 |
15 | 0.176091 | 0.207771726552341 | -0.0316807265523407 |
16 | 0.531479 | 0.303707184754004 | 0.227771815245996 |
17 | -0.09691 | 0.0762276883689517 | -0.173137688368952 |
18 | -0.09691 | -0.244887163974657 | 0.147977163974657 |
19 | 0.30103 | 0.448293470264919 | -0.147263470264919 |
20 | 0.278754 | 0.227456523472936 | 0.051297476527064 |
21 | 0.113943 | 0.354824338546790 | -0.240881338546790 |
22 | 0.748188 | 0.636423500620949 | 0.111764499379051 |
23 | 0.491362 | 0.332884666669346 | 0.158477333330654 |
24 | 0.255273 | 0.202053149169820 | 0.0532198508301798 |
25 | -0.045757 | -0.0445625552137491 | -0.00119444478625089 |
26 | 0.255273 | 0.47999728510379 | -0.22472428510379 |
27 | 0.278754 | 0.0069634653883694 | 0.271790534611631 |
28 | -0.045757 | 0.069268547772071 | -0.115025547772071 |
29 | 0.414973 | 0.341631023129083 | 0.0733419768709168 |
30 | 0.380211 | 0.443123293306222 | -0.0629122933062215 |
31 | 0.079181 | 0.181195174656002 | -0.102014174656002 |
32 | -0.045757 | 0.139507454739923 | -0.185264454739923 |
33 | -0.30103 | 0.0289969515569544 | -0.330026951556954 |
34 | -0.221849 | -0.139449307535560 | -0.0823996924644396 |
35 | 0.361728 | 0.313748458670829 | 0.0479795413291709 |
36 | -0.30103 | 0.0445238735300809 | -0.345553873530081 |
37 | 0.414973 | 0.348774715337006 | 0.0661982846629935 |
38 | -0.221849 | -0.0724183140054877 | -0.149430685994512 |
39 | 0.819544 | 0.616102486304391 | 0.203441513695609 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.597929708193841 | 0.804140583612318 | 0.402070291806159 |
7 | 0.805815945204428 | 0.388368109591145 | 0.194184054795572 |
8 | 0.720982889511788 | 0.558034220976424 | 0.279017110488212 |
9 | 0.649765918387215 | 0.70046816322557 | 0.350234081612785 |
10 | 0.613006410057831 | 0.773987179884338 | 0.386993589942169 |
11 | 0.690108525322084 | 0.619782949355833 | 0.309891474677916 |
12 | 0.691201280225957 | 0.617597439548087 | 0.308798719774043 |
13 | 0.737899544082571 | 0.524200911834857 | 0.262100455917429 |
14 | 0.651774401644713 | 0.696451196710573 | 0.348225598355287 |
15 | 0.566644452402687 | 0.866711095194626 | 0.433355547597313 |
16 | 0.594690479157793 | 0.810619041684414 | 0.405309520842207 |
17 | 0.610881366535095 | 0.77823726692981 | 0.389118633464905 |
18 | 0.61344209197828 | 0.77311581604344 | 0.38655790802172 |
19 | 0.589206361851363 | 0.821587276297273 | 0.410793638148637 |
20 | 0.50342891914205 | 0.9931421617159 | 0.49657108085795 |
21 | 0.59140132727073 | 0.81719734545854 | 0.40859867272927 |
22 | 0.526282106480342 | 0.947435787039317 | 0.473717893519658 |
23 | 0.534352967904985 | 0.93129406419003 | 0.465647032095015 |
24 | 0.482915389080512 | 0.965830778161025 | 0.517084610919488 |
25 | 0.41430288421975 | 0.8286057684395 | 0.58569711578025 |
26 | 0.602855475979316 | 0.794289048041369 | 0.397144524020684 |
27 | 0.960558804011821 | 0.0788823919763572 | 0.0394411959881786 |
28 | 0.9705527635969 | 0.0588944728062003 | 0.0294472364031002 |
29 | 0.961721904783826 | 0.0765561904323471 | 0.0382780952161736 |
30 | 0.932745861396603 | 0.134508277206794 | 0.067254138603397 |
31 | 0.91360537248153 | 0.172789255036940 | 0.0863946275184699 |
32 | 0.936354228945889 | 0.127291542108222 | 0.0636457710541112 |
33 | 0.880357589160963 | 0.239284821678075 | 0.119642410839038 |
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 | 3 | 0.107142857142857 | NOK |