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
1 thought on “If the relationship between the two<br />variables x and y is given by 2x + 3y +<br />4 = Othen the value of correlation<br />coef”
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
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