Concept explainers
The following data represent the percent of all drivers by age who have been stopped by the policy for any reason within the past year. The median age represents the midpoint of the upper and lower limit for the age range.
Using a graphing utility, draw a
Determine a model that best describes the relation between median age and percent stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models.
Provide a justification for the model that you selected in part (b).
(a)
To graph: The scattered plot of given data using graphing utility by treating median age
Explanation of Solution
Given information:
The table
Graph:
Step-1: Plug the median price,
Step-2: Go to
Step-3: Click on
Therefore, the scattered plot of the given data is
Interpretation:
The scattered plot is showing behavior like graph of the quadratic function. Therefore, the relation between median price,
(b)
The best fit model that describes the relation between values of the median price,
Answer to Problem 15CR
Solution:
The best fit function for data is
Explanation of Solution
Given information:
The table
Explanation:
To find the equation of the best fit model for this data using graphing calculator press
Therefore, the best fit function for the given data is
(c)
The justification for the model for the given data. The table is
Answer to Problem 15CR
Solution:
Justification: As the graph of the quadratic function shows similar behavior like the scattered plot, that is why, the quadratic function is the best fit function for this given data values.
Explanation of Solution
Given information:
The data is
Explanation:
Graph the scattered plot and the best fit function
In the graphing calculator, press
Then, click on
That gives the graph,
As the graph of the quadratic function shows similar behavior like the scattered plot, that is why, the quadratic function is the best fit function for this given data values.
Chapter 5 Solutions
Precalculus
Additional Math Textbook Solutions
Precalculus
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning