PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 7.1, Problem 47E
Solution
a.
To calculate: The linear regression models for the populations of both cities using the given data.
The obtained matrix is
Given Information:
The table is defined,
| Time (years) | Florida (thousands) | Indiana ( thousands) |
| 1980 | 9746 | 5490 |
| 1990 | 12938 | 5544 |
| 2000 | 15982 | 6080 |
| 2010 | 18801 | 6483 |
Calculation:
Consider the given table,
| Time (years) | Florida (thousands) | Indiana ( thousands) |
| 1980 | 9746 | 5490 |
| 1990 | 12938 | 5544 |
| 2000 | 15982 | 6080 |
| 2010 | 18801 | 6483 |
Use a graphing calculator to find the linear rgeression.
Step 1. Insert the table in calculator by using the table feature and take as 0 for 1980.
Step 2. Use the LinReg feature with first two list
And,
Therefore, the obtained equation is
b.
To calculate: The linear regression models for the populations of both cities using the given data.
The obtained model is
Given Information:
The table is defined as,
| Time (years) | Florida (thousands) | Indiana ( thousands) |
| 1980 | 9746 | 5490 |
| 1990 | 12938 | 5544 |
| 2000 | 15982 | 6080 |
| 2010 | 18801 | 6483 |
Calculation:
Consider the given table,
| Time (years) | Florida (thousands) | Indiana ( thousands) |
| 1980 | 9746 | 5490 |
| 1990 | 12938 | 5544 |
| 2000 | 15982 | 6080 |
| 2010 | 18801 | 6483 |
Use a graphing calculator to find the linear rgeression.
Step 1. Insert the table in calculator by using the table feature and take as 0 for 1980.
Step 2. Use the LinReg feature with first two list
And,
Therefore, the obtained equation is
c.
To calculate: The time when the populations of the two cities were the same as well as the common population of the two cities.
The obtained result is
Given Information:
The equations from the previous part is
Calculation:
Consider the given information,
Equate both the equations
Add the obtained value in 1980.
The corresponding year is 1963.
Now, substitute
Hence, the obtained result is
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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