Concept explainers
a.
To Find:
To find a curve to model the data and superimpose it on a
a.
Answer to Problem 65RE
The graph is shown superimposed
Explanation of Solution
Given information:
The given data is below:
Formula:
The general logistic regression equation is
The regression equation is given by
Now substituting the values,
Graph:
Interpretation:
The graph is shown superimposed on the scatter plot. The fit is almost perfect.
Therefore, the graph is shown superimposed.
b.
To Find:
To find the number of Anchorage population approach in the long run.
b.
Answer to Problem 65RE
The number of Anchorage population approach in the long run is
Explanation of Solution
Given information:
The given data is below:
The regression equation is given by
Now substituting the values,
Therefore, the number of Anchorage population approach in the long run is
c.
To Find:
To find the logistic differential equation in the form
c.
Answer to Problem 65RE
The logistic differential equation is
Explanation of Solution
Given information:
The given data is below:
The logistic differential equation is
So from part (a) the carrying capacity
Now substituting the values in the differential equation,
Therefore, the logistic differential equation is
d.
To Find:
To find whether the data is affected by carrying capacity predicted by the regression equation.
d.
Answer to Problem 65RE
There is no reason to be concerned, unless the model application was extremely sensitive.
Explanation of Solution
Given information:
The given data is below:
With the new point, the carrying capacity of Anchorage is predicted to be
And thus, there is no reason to be concerned, unless the model application was extremely sensitive.
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
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