Load the "women" data into r with the heights and weights of fifteen hypothetical women. using the r package named mcmcpack compute the matrix of bayes factors associated to the models m1,m2 and m3 for explaining weight in terms of height. where m1 is a line through the origin, m2 is an arbitrary line and m3 is a quadratic polynomial. assuming diffuse non informative priors (use b0 = 1, b0 = 1e−4, c0 = 1e5, d0 = 1e5) the natural log of bayes factors for m3 is closest to:
a. 109,1.00,0.00
b. 252, 3.30, 0.00
c. -291,-43,-39
d. 1.97,2.70,0.00
е. -252.-3,0.00