what is the relationship between the slope of the regression

what is the relationship between the slope of the regression line and the correlation coefficient?

Solution

Relationship between the correlation coefficient and the regression line

Relation between the correlation coefficient and slope of the the regression line:-

(1)If the correlation coefficient is equal to 0,r=0 then no linear relation exist between x and y .

(2)If r<0 then there is a negative relationship between the variable and slope is negative.As one of the variable increases the other variable decreases

3)If r>0 then there is a positive relation between the x and y.It mean the slope of the regression line is positive.