Suppose you were hired by the state of California to conduct a study of voter willingness to support a tax increase to fund new school spending. Define V i such that: Vi 5 1 if voter i supports the tax increase Vi 5 0 if voter i does not support the tax increase Thus, V i is a binomial random variable with population mean, m , and population variance, s 2 . You think that voter support of the tax increase is related to the income of each individual. a. Suppose that you regress V i on Income i using a linear probability model. What properties would this model have, assuming that income is the only factor that affects voting behavior