Concept explainers
a
To Find: The least squares regression parabola
a
Answer to Problem 96E
The equation of parabola is
Explanation of Solution
Given: The number of femalesx and the percent of females y
Number | Percent |
160 | 30 |
Concept Used:
Gaussian Elimination is the process of using valid row operations on a matrix until it is in reduced row echelon form
Calculation:
Let least squares regression parabola
When
Substituting
Substituting
Substituting
This produces the following system of linear equations
Adding
________________________________.
Adding
produces a new second equation
Adding
_________________________________.
Adding
Adding
______________________.
Adding
Multiplying the third equation by
From
Finally, substitute
Substitute
The equation of parabola is
b
Graph of:parabola
b
Explanation of Solution
Given information: Equation of parabola
Graph:
c
To Find: percent of females that had offering when there were
c
Answer to Problem 96E
percent of females is
Explanation of Solution
Given information: equation of parabola is
Percent at
Calculation:
Percent when
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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