Exercise #8: SOCY 2061-100,101, 102, 103,104, 105, 106, 107,108, 109:In CT... Question 7 6 pts Problem Set #1 A researcher is interested in the intergenerational 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 (Z). Also included in the table are the "Total Variation" for X, Y, and Z (i.e., 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 () and mother's education (Z) (i.e., ryz). The researcher needs your help in estimating the correlation between father's education (X) and offspring's education (Y), as well as the partial correlation between father's education and offspring's education, "controlling" for the influence of mother's education (Z). Education Father's Education Mother's Education ( Y ) (X) (Z) Mean 13.8 11.8 11.5 Total Variation 33.7 88.3 167.0 COV(XY) = 35.5 COV(XZ) = 101.5 COV(YZ) = 36.0 rxy = ryz = 0.48