Refer to Table 13.1 in Chapter 13. There, we used the data in FERTIL1 .RAW to estimate a linear model for kids, the number of children ever born to a woman.
(i) Estimate a Poisson regression model for kids, using the same variables in Table 13.1. Interpret the coefficient on y82.
(ii) What is the estimated percentage difference in fertility between a black woman and a nonblack woman, holding other factors fixed?
(iii) Obtain &. Is there evidence of over- or under dispersion?
(iv) Compute the fitted values from the Poisson regression and obtain the /?-squared as the squared correlation between kids, and kids.. Compare this with the /^-squared for the linear regression model.