Concept explainers
(a)
To find: The exponential regression for the given data and also graph it.
(a)
Answer to Problem 39E
The exponential regression is
Explanation of Solution
Given information:
The following table gives the population of Texas for several years:
Population of Texas | |
Year | Population (thousands) |
Calculation:
Assume that the exponential regression for population is
As
Substitute
Now, the year
Use the calculator for the value of
So, the value of
To graph a function
First press “ON” button on graphical calculator, press
The display will show the equation,
Now, press the
Figure (1)
Therefore, the he exponential regression is
(b)
To find: The population of Texas in
(b)
Answer to Problem 39E
The population of Texas in
Explanation of Solution
Given information:
The following table gives the population of Texas for several years:
Population of Texas | |
Year | Population (thousands) |
Calculation:
As calculated in part (a), the exponential regression for population is
The population in
Substitute
Use the calculator for the value of
The value of
Therefore, the population of Texas in
(c)
To find: The annual rate of growth of population of Texas.
(c)
Answer to Problem 39E
The population increase by
Explanation of Solution
Given information:
The following table gives the population of Texas for several years:
Population of Texas | |
Year | Population (thousands) |
Calculation:
As calculated in part (a), the exponential regression for population is
By the exponential regression tells that the population of Texas becomes
So, the rate of growth is
Therefore, the population increases by
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
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