Concept explainers
a.
To create: A scatter plot of the given data using a graphing utility.
a.
Explanation of Solution
Given Information: Relevant data in form of ordered pairs.
Graph:
b.
To find: The equation of least squares regression line that fit the data using regression feature of a graphing utility.
b.
Answer to Problem 18E
Explanation of Solution
Given Information: Relevant data in form of ordered pairs.
Calculation:
Using regression feature to calculate the required equation,
Equation:
Thus, equation of line of best fit is
c.
To graph: The scatter plot and model in same viewing window and then to determine the extent of accuracy to which the model represent the data.
c.
Answer to Problem 18E
Model represents the data very closely i.e. accurately.
Explanation of Solution
Given Information: Relevant data in form of ordered pairs. Model from previous part.
Calculation:
Graphing the equation of line of best fit
Most of the points lie close the graph of model, some points lie on the line too.
Thus, model represents the data accurately.
d.
To predict: The gross ticket sales during the season starting in
d.
Answer to Problem 18E
Gross ticket sales for the season starting in
Explanation of Solution
Given Information: Previously calculated model.
Calculation:
For
Putting
Thus, gross ticket sales for the season starting in
e.
To interpret: The meaning of the slope of the linear model in context of the problem.
e.
Answer to Problem 18E
Slope implies that every year the gross ticket sales increase by about
Explanation of Solution
Given Information: Previously calculated model.
Calculation:
Comparing the linear model with standard form
Thus, slope implies that every year the gross ticket sales increase by about
Chapter 1 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