PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 7.1, Problem 46E
Solution
a.
To calculate: The linear regression models for the populations of both cities using the given data.
| Time (years) | San Antonio (thousands) | San Diego ( thousands) |
| 1980 | 786 | 876 |
| 1990 | 935 | 1111 |
| 2000 | 1145 | 1223 |
| 2010 | 1327 | 1307 |
| 2015 | 1480 | 1395 |
The obtained matrix is
Given Information:
The table is defined,
| Time (years) | San Antonio (thousands) | San Diego ( thousands) |
| 1980 | 786 | 876 |
| 1990 | 935 | 1111 |
| 2000 | 1145 | 1223 |
| 2010 | 1327 | 1307 |
| 2015 | 1480 | 1395 |
Calculation:
Consider the given table,
| Time (years) | San Antonio (thousands) | San Diego ( thousands) |
| 1980 | 786 | 876 |
| 1990 | 935 | 1111 |
| 2000 | 1145 | 1223 |
| 2010 | 1327 | 1307 |
| 2015 | 1480 | 1395 |
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,
Step 3. Use the LinReg feature with first two list
And,
Step 4. Use the Graph feature to plot the both the graph as scatter graph.
Therefore, the obtained equation is
b.
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 2007.
Now, substitute 27 for
Hence, the obtained result is
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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