Question

if two regression coefficients are 0.8 and 1.2 what would be the value of coefficient of correlation ?​

Answer 1

0.8 1.2

coefficient of correlation =1.5

Answer 2

Answer:

r = 0.98

coefficient of correlation of the two given regression coefficients is  0.98

Step-by-step explanation:

given,

$b_{xy}$ = 0.8 and

$b_{yx}$ = 1.2

coefficient of correlation, r = √$b_{xy} * b_{yx}$

⇒ r = $\sqrt{0.8*1.2}$

⇒ r = $\sqrt{0.96}$

⇒ r = 0.98

thus, coefficient of correlation of the two given regression coefficients is  0.98

• correlation coefficient is that the mean between two regression coefficients. correlation coefficient, denoted by 'r', ranges from -1 to +1.
• the sign of the coefficient of correlation tells us the direction of the linear relationship
• the magnitude of 'r' tells us the strength of the linear relationship