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
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage