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Part 1: Correlation and Linear Regression It is widely believed that the more education one receives the higher the income earned at the time of first employment and over the course of a career. However, due to varying reasons, many people never complete high school and, thus, never receive their high-school diploma. Although individuals without a high-school diploma are often able to find employment, they experience economic outcomes quite different from those who finish high school before entering the workforce to earn a living. Across the nation, there are millions of individuals with families who are now working but do not possess the credentials of a high-school diploma. Many of these individuals and their families are considered to be a part of the working poor that make up a considerable portion of this nation's labor force. 1. Use technology to create and provide a scatterplot of the association between the "percent of low-income working families" and the "percent of 18-64 yr-olds with no high school diploma" data for each jurisdiction. Describe the relationship based on inspection of the scatterplot. Be sure to use the actual names of the variables in their appropriate places in your response(s). 2. Use technology to find the regression equation for the linear association between the "percent of low-income working families" (dependent variable) and the "percent of 18-64 yr- olds with no high school diploma" (independent variable). Round final values to two decimal places. Provide this equation and write a brief interpretation of the slope using the variable names. Provide an interpretation of the y-intercept, if appropriate. 3. A student states that a decrease in the "percent of 18-64 yr-olds with no high school diploma" will cause a decrease in the "percent of low-income working families." Is this statement correct? Why or why not?

Part 1: Correlation and Linear Regression
It is widely believed that the more education one receives the higher the income earned at the time
of first employment and over the course of a career. However, due to varying reasons, many
people never complete high school and, thus, never receive their high-school diploma. Although
individuals without a high-school diploma are often able to find employment, they experience
economic outcomes quite different from those who finish high school before entering the workforce
to earn a living. Across the nation, there are millions of individuals with families who are now
working but do not possess the credentials of a high-school diploma. Many of these individuals
and their families are considered to be a part of the working poor that make up a considerable
portion of this nation's labor force.
1. Use technology to create and provide a scatterplot of the association between the "percent
of low-income working families" and the "percent of 18-64 yr-olds with no high school
diploma" data for each jurisdiction. Describe the relationship based on inspection of the
scatterplot. Be sure to use the actual names of the variables in their appropriate places in
your response(s).
2. Use technology to find the regression equation for the linear association between the
"percent of low-income working families" (dependent variable) and the "percent of 18-64 yr-
olds with no high school diploma" (independent variable). Round final values to two decimal
places. Provide this equation and write a brief interpretation of the slope using the variable
names. Provide an interpretation of the y-intercept, if appropriate.
3. A student states that a decrease in the "percent of 18-64 yr-olds with no high school
diploma" will cause a decrease in the "percent of low-income working families." Is this
statement correct? Why or why not?

Added by Alexander B.

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