The paper Religiosity and Teen Birth Rate in the United States(Reproductive Health [ 2009]: 14 20) included

The paper €œReligiosity and Teen Birth Rate in the United States€(Reproductive Health [ 2009]: 14€“ 20) included data on teen birth rate and on a measure of conservative religious beliefs for 49 of the U. S. states. Birth rate was measured as births per 1,000 teenage females. The authors of the paper created a €œreligiosity€score for each state by using responses to a large national survey conducted by the Pew Forum on Religion and Public Life. Higher religiosity scores correspond to more conservative religious beliefs. The authors reported that €œteen birth rate is very highly correlated with religiosity at the state level, with more religious states having a higher rate of teen birth.€The following data for 49 states are from a graph in the paper.
a. Construct a scatterplot of y = birth rate versus x = religiosity score. How would you describe the relationship between x and y? What aspects of the scatterplot support what the authors concluded about teen birth rate and religiosity?
b. Compute and interpret the value of the correlation coefficient.

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