. A survey conducted in the United States and in 10 countries in Western Europe determined the percentage of teens using other drugs (%) [the y-variable] versus “Marijuana (%)” [the x-variable] was definitely a positively linear association, so a linear model is appropriate. Summary statistics showed that the mean percent that had used marijuana was 23.9%, with a standard deviation of 15.6%. An average of 11.6% of teens had used other drugs, with a standard deviation of 10.2%.
-- For this regression, R^2is 87.3%. Interpret this statistic in this context?

Question

.  A survey conducted in the United States and in 10 countries in Western Europe determined the percentage of teens using other drugs (%) [the y-variable] versus “Marijuana (%)” [the x-variable] was definitely a positively linear association, so a linear model is appropriate.  Summary statistics showed that the mean percent that had used marijuana was 23.9%, with a standard deviation of 15.6%.  An average of 11.6% of teens had used other drugs, with a standard deviation of 10.2%.
-- For this regression, R^2is 87.3%.  Interpret this statistic in this context?