Concept explainers
a.
Data analysis on wildlife.
a.
Answer to Problem 72E
Explanation of Solution
Given information:
A wildlife management team studied the reproductive rates of deer in three tracts of a wildlife preserve. Each tract contained 5 acres. In each tract, the number of females
Use the data to create a system of linear equations. Then find the least squares regression parabola for the data by solving the system.
Calculation:
Consider the table showing the number of females
We have to set up the system of equations for data to find the least squares regression parabola.
Use the following system of equations.
Now to find the least squares regression parabola
Given
To solve
Similarly solve for another values,
To solve
Now substitute the calculated values in
Now solve the system for
Multiply first equation by
Now multiply first equation by
Now new system of equations is,
Multiply first equation by
Now new system of equations is,
Multiply second equation by
Now new system of equations is,
Multiply second equation by
Now new system of equations is,
Multiply third equation by
Now substitute
Now substitute
Hence, the least squares regression parabola
b.
Data analysis on wildlife.
b.
Answer to Problem 72E
The result is shown on graph.
Explanation of Solution
Given information:
A wildlife management team studied the reproductive rates of deer in three tracts of a wildlife preserve. Each tract contained 5 acres. In each tract, the number of females
Use a graphing utility to graph the parabola and the data in the same viewing window.
Calculation:
The graph of the parabola and data in the same window as follows,
Hence, the result is shown on graph.
c.
Data analysis on wildlife.
c.
Answer to Problem 72E
Explanation of Solution
Given information:
A wildlife management team studied the reproductive rates of deer in three tracts of a wildlife preserve. Each tract contained 5 acres. In each tract, the number of females
Use the model to estimate the percent of females that had offspring when there were
Calculation:
Model to estimate the percent of females that had offspring when there were
Put
Hence, the percent of females that had offspring
d.
Data analysis on wildlife.
d.
Answer to Problem 72E
Explanation of Solution
Given information:
A wildlife management team studied the reproductive rates of deer in three tracts of a wildlife preserve. Each tract contained 5 acres. In each tract, the number of females
Use the model to estimate the number of females when
Calculation:
The model to estimate the number of females when
Put
Hence, the number of females when
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning