Concept explainers
a.
To determine the regression feature of a graphing utility to find logistic model and power model for the data.
a.
Answer to Problem 36E
The logistic model is
Explanation of Solution
Given:
Consider the given information,
The data provided are
(1,11.21),(2,20.77),(3,28.94),(4,35.92),(5,41.87),(6,46.96),(7,55.01),(8,58.17),(10,60.87),(11,63.18),(12,65.15),(13,66.84),(14,68.27),(15,69.50)
Calculation:
Using the graphing utility, the logistic model
The power model
Conclusion:
Therefore, the logistic model is
b.
To determine which model fits the best to the data.
b.
Answer to Problem 36E
The logistic model fits the best for the model.
Explanation of Solution
Given:
Consider the given information,
The data provided are
(1,11.21),(2,20.77),(3,28.94),(4,35.92),(5,41.87),(6,46.96),(7,55.01),(8,58.17),(10,60.87),(11,63.18),(12,65.15),(13,66.84),(14,68.27),(15,69.50)
Graph:
Interpretation:
From the graph, it is clear that the logistic model fits the best for the given data.
c.
To determine the length of 17 years old yellowtail snapper by using part(a).
c.
Answer to Problem 36E
The length of the 17 years old yellowtail snapper is
Explanation of Solution
Given:
Consider the given information,
The data provided are
(1,11.21),(2,20.77),(3,28.94),(4,35.92),(5,41.87),(6,46.96),(7,55.01),(8,58.17),(10,60.87),(11,63.18),(12,65.15),(13,66.84),(14,68.27),(15,69.50)
Calculation:
From the given data,
Conclusion:
Therefore, the length of the 17 years old yellowtail snapper is
Chapter 3 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