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Solved: Section II: Free Response Show all your work. Indicate clearly the methods you
Chapter 3, Problem T3.13(choose chapter or problem)
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
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. Researchers 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.
Questions & Answers
QUESTION:
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
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. Researchers 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.
ANSWER:Step 1 of 5
Given:
The data relating to wildebeest is provided.