Question

if byx is 3/2 and byx is 1/4 then r =?​

Answer 1

We have given: bxy=0.2

And bxy=1.8

And we know that r=√( bxy* byx)

Therefore r=√( 0.2*1.8)

r= √.36

r= .6 ,where r= coefficient of correlation.

Answer 2

The correct question would be "if byx is 3/2 and bxy is 1/4 then r =? "

The value of r is 0.61

Given

• byx is 3/2
• bxy is 1/4

To find

• r = ?

Solution

we are provided with the two regression coefficients namely, bxy and byx and are asked to find the correlation coefficient, r.

we know that correlation Coefficient measures the degree of relationship between two variables whereas regression coefficients are used to predict the relation between the variables included.

The relation connecting to regression coefficients and the correlation Coefficient is given by,

r = √(bxy × byx) ,where r is the regression coefficient.

substituting the given values in the standard equation to find the value of r,

r = √(3/2 × 1/4)

or, r = √(3/8)

or, r = √(0.375)

or, r = 0.61 ( the value of the correlation coefficient would be positive as both the regression coefficients have positive values)

Therefore, the value of r is 0.61