S5. Investigate the relationship between the respondent’s education (EDUC) and the education received by his or her father and mother (PAEDUC and MAEDUC, respectively).

1. Calculate the correlation coefficient, the coefficient of determination, and the regression equation predicting the respondent’s education with father’s education only. Interpret your results.

2. Determine the multiple correlation coefficient, the multiple coefficient of determination, and the regression equation predicting the respondent’s education with father’s and mother’s education. Interpret your results.

3. Did taking into account the respondent’s mother’s education improve our prediction? Discuss this on the basis of the results from S5b.

4. Using the regression equation from S5a, calculate the predicted number of years of education for a person with a father with 12 years of education. Then, repeat this procedure, adding in a mother’s 12 years of education and using the regression equation from S5b.

5. Review the ANOVA results. Can you reject the null hypothesis that R2 = 0?