Calculate the partial correlation coefficient for the association between father's education (X) and offsprings education (Y) while "controlling" for mothers education (Z). That is, what rxy.z? A) .85B) .20C) 0D) .52

Question 7 Problem Set #1 A researcher is interested In the lntergenerational transmission of educational attainment. That is, the researcher is interested in the relationship between parents' years of schooling and an offspring' s years of schooling. The table below presents the mean years of schooling for 500 respondents (Y) as well as the mean years of schooling for respondents' fathers (X) and mothers (2). Also included' In the table are the \"Total Variation" for X, Y, and 2 (Le. the \"total sum of the squares" for each variable). Below the table are the covariations between the three variables (e.g.. Cov(XY) is the covariation between X and Y). Finally, the researcher has already calculated " the Pearson correlation coefficient for the association between offspring's education (Y) and mother's education (Z) (i.e., ryz). The researcher needs your help in estimating the correlation between father's education (X) and ospring' 3 education (Y), as well as the partial correlation between fathers education and ospring' 3 education \"controlling\" for the influence of mother's education (2). Education Father's Education Mother's Education (Y) (X) 2) Mean 13.8 . 11.8 - ~ 11.5 Total Variation 33.7 . 88.3 1670 m covav) = 35.5 cox/(x2) = 101.5 cova = 35.0