Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats registered in Florida and the number of manatees killed each year.t 100, 80 60 40 20 6. 8 Boats (100,000) The regression curve shown is given by f(x) = 3.55x2 - 30.2x + 81 manatees (4.5 s xs 8.5), where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year. (a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5, 6] = manatee deaths per 100,000 boats rate of change over [7, 8] = manatee deaths per 100,000 boats (b) What does the answer to part (a) tell you about the manatee deaths per boat? O More boats result in less manatee deaths per additional boat. O More boats result in more manatee deaths per additional boat. Manatee deaths

Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats registered in Florida and the number of manatees killed each year.t 100, 80 60 40 20 6. 8 Boats (100,000) The regression curve shown is given by f(x) = 3.55x2 - 30.2x + 81 manatees (4.5 s xs 8.5), where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year. (a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5, 6] = manatee deaths per 100,000 boats rate of change over [7, 8] = manatee deaths per 100,000 boats (b) What does the answer to part (a) tell you about the manatee deaths per boat? O More boats result in less manatee deaths per additional boat. O More boats result in more manatee deaths per additional boat. Manatee deaths

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats
registered in Florida and the number of manatees killed each year.t
100
80
60
40
++
20
x × x
4
6.
7
8.
9
Boats (100,000)
The regression curve shown is given by
f(x)
= 3.55x2 - 30.2x + 81 manatees (4.5 sx5 8.5),
where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year.
(a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8].
rate of change over [5, 6]
manatee deaths per 100,000 boats
rate of change over [7, 8]
manatee deaths per 100,000 boats
(b) What does the answer to part (a) tell you about the manatee deaths per boat?
O More boats result in less manatee deaths per additional boat.
More boats result in more manatee deaths per additional boat.
O Less boats resuult in more manatee deaths per additional boat
Manatee deaths

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