Certainly! Below is the transcribed text and explanation for an educational website:---**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.*---**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.

Given, 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. Year 1990 1995 2000 2005 2007 % of the labor force 11.6% 12.2 % 12.9 % 14.2 % 15.6% Part a Plotting the given data, we get Here we consider the year 1990 as x = 0 Part b Find the equation of linear regression, as shown below: From the above graph, we get The equation of linear regression of the line is y=0.21856x + 11.2455 ⇒y=0.22x + 11.25 Part c Here, the slope of the line indicates % of labor force per year Part d For the year 2027x = 2027 - 1990 = 47 then y = 0.22(47) + 11.25 =21.59Therefore, in the year 2027 the % of labor force will be 21.59

Math

Algebra

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. OB. OC. O A. 1-5, 20, 1] by 18. 17 1) [8. 17, 1] by (- 5, 20, 1] [-5, 20, 1] by [8, 17, 1] Clear all

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. OB. OC. O A. 1-5, 20, 1] by 18. 17 1) [8. 17, 1] by (- 5, 20, 1] [-5, 20, 1] by [8, 17, 1] Clear all

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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