Suppose you have sample data in which average household income was $50,000 per year for non-Hispanic white adults, $34,000 per year for non-Hispanic Black adults, and $40,000 for Hispanic adults. Write the prediction equations (including the intercept and slope) that you would see if you estimated separately each of the following regression models:

(a) Regress household income on two dummy variables indicating nonHispanic white and non-Hispanic Black adults, with Hispanic adults as the reference category.