The scatterplot shows the median weekly earning (by quarter) for men and women in the United States for the years from 2005 through 2017. The correlation is 0.974.
a. Use the scatterplot to estimate the median weekly income for women in a quarter in which the median pay for men is about $800.

b. Use the regression equation shown above the graph to get a more precise estimate of the median pay for women in a quarter in which the median pay for men is $850.

c. What is the slope of the regression equation? Interpret the slope of the regression equation.

d. What is the y-intercept of the regression equation? Interpret the y-intercept of the regression equation or explain why it would be inappropriate to do so.

 

Predicted Women = -62.69 + 0.887 Men 800 - 750 700 650 600 750 800 850 900 950 Men's Median Pay (dollars per week) Women's Median pay (dollars per week)