Bayesian Inference of a Multivariate Regression Model

Table 2

Posterior mean for .

	VOCAB	READ	MATH 1	MATH 2	SCI	WRITE	CIVIC
(Intercept)	37.0582	35.6555	33.6377	37.7119	37.3335	31.2303	37.9283
GPA	4.7810	5.2711	5.9424	4.8139	4.4674	5.7163	4.3733
School type 1	−1.1971	−0.3382	−1.0521	−0.5196	−1.1388	−0.9455	−0.5326
School type 2	−0.8747	−1.9121	−0.6682	−0.4325	−2.4736	−1.4395	−2.4039
School type 3	−1.0713	−0.9146	−0.3638	−0.3816	−1.1779	−0.9105	−0.7742
School type 5	2.7359	2.1862	2.3550	1.5275	0.7704	2.5247	2.1433
School type 6	1.8095	1.8877	0.9502	0.2953	0.2920	2.0570	2.1941
School type 7	3.0532	1.6308	1.5283	0.0003	0.5107	2.1525	1.7716
School type 8	10.3236	8.7564	8.8743	8.7145	5.8165	7.0452	5.5020
School type 9	2.9475	1.9583	2.9381	2.9743	2.1760	1.9975	1.7927
Urban 2	0.5558	0.0821	0.6002	0.9824	0.7407	0.5115	0.2248
Urban 3	−0.8006	−0.5359	−0.3611	−0.2156	0.4344	0.0087	−0.3363
Region 2	−1.0396	−0.7905	−0.3661	−1.0051	−0.4256	−0.6938	−0.9750
Region 3	−2.2086	−1.1256	−1.6328	−1.7664	−1.4603	−1.1176	−1.7760
Region 4	−3.9350	−1.8827	−2.4900	−2.8335	−2.0910	−1.3902	−2.3088
Region 5	−2.6954	−1.5560	−1.5315	−2.1349	−1.1494	−0.8252	−1.6827
Region 6	−2.1648	−1.5579	−0.9690	−1.7886	−0.6775	−0.5598	−1.5524
Region 7	−1.9171	−0.4627	0.1163	−0.3902	0.2802	0.2396	−0.3970
Region 8	−1.6480	−0.9278	−1.6167	−2.4756	−0.6947	−0.4478	−1.4824
Region 9	−0.4866	−0.7586	−0.5338	−1.0931	−0.6208	−0.0413	−1.5015
Gender 2	−1.5605	−1.2414	−1.8966	−1.5490	−3.0722	3.0841	0.2048
Race 2	−0.9813	0.5513	−0.8029	−0.2627	0.5303	0.8640	−0.9432
Race 3	1.7286	1.7006	4.9363	3.9146	2.4132	3.5702	1.3489
Race 4	−0.8534	0.0337	−0.6765	−0.5625	−1.3975	−0.3582	0.4884
Race 5	4.5403	3.7077	3.8777	2.3674	4.5873	3.9272	2.7858
Race 6	−0.5276	0.3656	−0.0162	−0.1581	0.4371	0.3194	0.9498