The correlation matrix below shows for white students the same relationships you have painstakingly established by hand for black students. How if at all are these relationships different from the relationships for black students? | G3 math Coll attend BA attend -------------+--------------------------- G3 math | 1.0000 Coll attend | 0.7725 1.0000 BA attend | 0.7340 0.9625 1.0000 e. What could account for the differences in correlations you observe between black students and white students? f. What share of the variance in rates of baccalaureate college attendance for white students is unrelated to a linear transformation of average 3rd grade math test scores? g. Why in substantive terms might the relationship between average test scores and rates of baccalaureate college attendance be nonlinear? That is, give me a story. 3 h. Suppose the slope coefficient for the regression of rates of BA attendance on average math test scores for white students is 0.0075 the standard deviation of math test scores for white students is 9.771 and the variance in BA attendance for white students is 0.01. What is the variance in PREDICTED rates of baccalaureate college attendance for white students? What is the variance in rates of baccalaureate college attendance that is unaccounted for by a linear transformation of average math test scores?