Question: Use the dataset poverty on the companion website; it includes teenage mother birth rates and poverty rates for the 50 states and the District of Columbia. The variable PovPct is the percent of a state's population in 2000 living in households with incomes below the federally defined poverty level. The variable Brth15to17 is the birth rate for females 15 to 17 years old in 2002, calculated as births per 1000 persons in this age group.
a. Plot Brth15to17 (y) versus PovPct (x). Describe the direction and strength of the relationship, and comment on whether there are any outliers.
b. Determine the equation of the regression line relating y = Brth15to17 to x = PovPct. Write the equation.
c. What is the value of the slope of the equation? Write a sentence that interprets the slope in the context of these variables.
d. Based on the equation, what is the estimated birth rate for females 15 to 17 years old in a state with a poverty rate of 15%?