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This analysis presents a scatterplot illustrating the correlation between the number of Florida manatees killed by boats and the number of boats registered in Florida from 1977 to 2009. The data reveals a strong linear relationship, indicating that as boat registrations increase, manatee fatalities also rise. Additionally, similar graphical representations display mean SAT Mathematics scores alongside the percentage of high school graduates taking the exam in the Midwest and Northeast regions. This study emphasizes how correlation can measure the strength of linear relationships in varied contexts.
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Figure 4.2 Scatterplot of the number of Florida manatees killed by boats in the years 1977 to 2009 against the number of boats registered in Florida that year, for Example 4.5. There is a strong linear (straight-line) pattern.
Figure 4.3 Mean SAT Mathematics score and percent of high school graduates who take the test for only the Midwest (•) and Northeast (+) states.
Figure 4.5 How correlation measures the strength of a linear relationship, for Example 4.6. Patterns closer to a straight line have correlations closer to 1 or –1.