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MAT 300 Week 8 Assignment
Group project : Geri Beers, Toni Beatty, Adrianne Cheeks

1. In comparison to Figure 8-1, is there another graph that better illustrates the relationship between the number of registered boats and the number of manatee deaths from boats?

Yes, a scatterplot (or scatter diagram) is a graph in which the paired (x, y) sample data are plotted with a horizontal x-axis and a vertical y-axis. Each individual (x, y) pair is plotted as a single point. The scatterplot does a much better job of visually depicting the association between registered boats and manatee deaths than the side-by-side bar charts. When you look at a scatterplot, you should study the pattern and take note of the direction of the pattern. In the example shown below, there does appear to be a pattern: an increase in registered boats appears to be associated with an increase in manatee deaths by boats.

2. How can methods of statistics be used to objectively determine whether there is a relationship between two variables, such as the number of registered boats and the numbers of manatees killed by boats?

In statistics, correlation is used to analyze a collection of paired sample data and determine whether there appears to be a relationship between the two variables. Because visual examinations of scatterplots are largely subjective, more precise and objective measures are needed. The use of the linear correlation coefficient r (represents the linear correlation coefficient for a sample) is useful for detecting straight-line patterns. The formula for computing r is:

3. If there is a relationship between the numbers of registered boats and the number of manatees killed by boats, how can it be described?

Once you have calculated the value of r, you must interpret the linear correlation coefficient. The value of r must fall between negative one and one. If r

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