If two regression lines between height ( x ) and weight ( y ) are 4 y-15 x+410=0 and 30 x-2 y-825=0 , then what will be the correlation coefficient between height and weight?

Step-by-step solution

aligned & 4 y-15 x+410=0 & y- 15 4 x+ 410 4 =0 y= 15 4 x- 410 4 & b_ y x = 15 4 & 30 x -2 y -825=0 x = 2 30 y + 825 30 & ~b _ xy = 2 30 & Correlation coeifficient = ( b _ yx ) ( b _ xy ) & = 15 4 2 30 = 1 4 = 1 2 aligned