The mean height of American women in their twenties is about

The mean height of American women in their twenties is about 64 inches, and the standard deviation is about 2.7 inches. The mean height of men the same age is about 69.3 inches, with standard deviation about 2.8 inches. If the correlation between the heights of husbands and wives is about r = 0.5, what is the slope of the regression line used to predict the husband

Solution

If x=women and y=men
I\'m not sure if you are familiar with the formulas below

The slope b is given by

b=r*sy/sx sx is SD for women and sy is SD for men

b=(0.5)(2.8)/(2.7)=0.519

The intercept a is given by

a=ybar-b*xbar

=69.3-(0.519)(64)

=69.3-33.2=36.1

Then

y\'=36.1 + 0.519x