T3.13 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 SO
T3.13 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 SO
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:T3.13 Long-term records from the Serengeti National
Park in Tanzania show interesting ecological relationships.
When wildebeest are more abundant, they graze the
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 thou-
sands 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.27
grass
06
80-
70
60
50-
40-
30-
20-
10-
1500
1000
Wildebeest (1000s)
500
750
1250
Percent burned

Transcribed Image Text:Residuals Versus Wildebeest (1000s)
(response is Percent burned)
40-
30-
20-
10-
-10-
-20
-30-
500
750
wildebeest (1000s)
1000
1250
1500
Predictor
Coef
SE Coef
Constant
92.29
10.06
9.17
0.000
Wildebeest (1000s) -0.05762 0.01035
-5.56
0.000
S = 15.9880 R-Sq = 64.6% R-Sq(adj) = 62.5%
%3D
%3D
(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 relation-
ship between wildebeest abundance and percent of grass area
burned? Support your answer with appropriate evidence.
Rasidnl
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