Part I: Interpreting regression results The following regression was run using a sample of 1,438 women living in Ukraine. The variable fertility is the number of births for the woman (i.e., how many pregnancies coming to term did she have) and educ is years of education completed for the woman. fertility 3.27 -0.22 educ R2 0.15, SER = 1.17 = = (1.12) (0.09) a. What is the dependent variable, and what is the independent variable? Give one (only one) other label for dependent/independent. Dependent (or other synonyms: Independent (or other synonyms: ) variable is: variable is: b. What is the estimated coefficient on educ? What does it mean, in words? (Be specific, referring to numbers.) c. Suppose one woman in the sample, Rita, has 10 years of education and had 4 pregnancies. Calculate the regression residual for that observation. Show your work. d. Test the null hypothesis that an additional year of education is associated with a decrease in fertility of .67. Be specific about the significance level. e. Calculate and write the 95% confidence interval for the slope.