Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**The percentage of adults in the labor force ages 65 or older who are still working has risen since 1990. The table below shows the data from 1990 to 2007. Let x represent the number of years since 1990.**
a. Plot the data points.
b. Find the linear regression equation of the line of best fit for the data.
c. What does the slope of this line indicate in this situation?
d. If the percentage continues to increase at the same rate, predict the percent of the labor force that is 65 years old or older in the year 2027.
| Year | % of Labor Force |
|-------|------------------|
| 1990 | 11.6% |
| 1995 | 12.2% |
| 2000 | 12.9% |
| 2005 | 14.2% |
| 2007 | 15.6% |
**a. Choose the correct plot below.**
- **Option A:** Contains a scatter plot with data points depicted on a grid with x-axis ranging from -5 to 20 and y-axis displaying values from 8 to 17.
- **Option B:** Contains a scatter plot with data points depicted on a grid with x-axis from 8 to 17 and y-axis ranging from -5 to 20.
- **Option C:** Contains a scatter plot with data points depicted on a grid with x-axis from -5 to 20 and y-axis displaying values from 8 to 17.
*Note: Although three plot options are presented, the accurate representation of this dataset would plot the years on the x-axis and the percentage of the labor force on the y-axis.*
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**Graphs/Diagrams Explanation:**
The diagrams presented in this image show different scatter plots that potentially illustrate the data points recorded in the table. These points represent different years in relation to the percentage of older adults in the workplace. The x-axis signifies years since 1990, while the y-axis indicates the percentage of the labor force 65 years and older. The correct plot will accurately reflect this data with an observable trend indicating the increase in this workforce segment over time.
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