Question

If the two regression coefficients are byx
= 0.4 and bxy = 0.9 then the value
of Correlation coefficient is​

Answer 1

Given:

regression coefficient byx = 0.4

regression coefficient bxy = 0.9

To find:

Correlation coefficient r =?

Step-by-step explanation:

• Correlation coefficients are used to calculate how strong a relationship between two variables.
• Pearson’s coefficient of correlation is commonly used in linear regression.
• The absolute value of the coefficient of correlation gives us the relationship strength.
• The larger the value of the coefficient of correlation, the stronger the relationship.
• Mathematically, the coefficient of correlation is expressed as

        $r^2= b_x_y \times b_y_x$

            = 0.4 × 0.9

            = 0.36

           r = 0.4

• Hence, the value of Correlation coefficient is​ 0.4

Answer 2

Answer:

Step-by-step explanation:

r = √bxy*byx

r = √(0.9)*(0.4)

r = √0.36

r = 0.6

This, the coefficient of regression is 0.6