Question

If the relationship between the two
variables x and y is given by 2x + 3y +
4 = Othen the value of correlation
coefficient between x and y is
0
-1
negative​

Answer 1

Answer:

y = -2/3 x - 4/3 .. (1) which is regression equation of y on x and

x = -3/2 y -2 ...(2) which is regression of x on y. From (1), regression coefficient of y on x i.e. b (yx) = -2/3 & from (2) regression coefficient of x on y i.e. b (xy) = -3/2

We know, b(yx) * b (xy) = r^2 where r is the correlation coefficient of x & y. Hence r^2 = 1 Or, r = +/ - 1