Long-term records from the Serengeti National Park in Tanzania show interesting ecological…

Long-term records from the Serengeti National Park in Tanzania show interesting ecological relationships. When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more trees grow. Lions feed more successfully when there are more trees, so the lion population increases. Research-ers collected data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass area burned in the same year. The results of a least-squares regression on the data are shown here.

(a) Give the equation of the least-squares regression line. Be sure to define any variables you use.

 (b) Explain what the slope of the regression line means in this setting.

(c) Find the correlation. Interpret this value in context.

(d) Is a linear model appropriate for describing the relationship between wildebeest abundance and percent of grass area burned? Support your answer with appropriate evidence.

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