# In 2011, the U.S. Census published a report saying that the number of Americans living below the

## Question:

In 2011, the U.S. Census published a report saying that the number of Americans living below the federal poverty line was at an all-time high. We want to know if the percentage of residents in each state living below the federal poverty line can be predicted by taking into account both states' racial composition and residents' educational attainment. Figure 13.37 displays the results of multiple regression (N = 50 states), predicting the percentage of a state's residents living below the federal poverty line between 2009 and 2010 using the percentage of black residents in each state in 2010 and percentage of residents in each state with at least a high school diploma in 2009. Use these results to answer the questions below.
a. What is the b coefficient for the percentage of black residents in each state? For the percentage of states' residents with at least a high school diploma? Interpret each coefficient. Do these results support the idea that poverty can be explained, at least in part, by considering the racial composition and education level of states' residents? Why or why not? Use the appropriate statistics to make your argument.
b. Use the regression results to predict the percentage of a state's residents living below the federal poverty line. Use the 2010 mean value of 10.3% for the percentage of black residents in each state and the 2009 mean value of 86.9% for the percentage of states' residents with at least a high school diploma. Is the predicted value below or above the mean value of 13.8% living below the federal poverty line between 2009 and 2010?
c. What is the coefficient of determination? By how much has our prediction of the percentage living below the federal poverty line improved by employing the multiple regression equation?
Fantastic news! We've Found the answer you've been seeking!