If x = 4y + 5 and y = kx + 4 are the lines of regression on X on Y and Y on X respectively, where k is a positive constant, prove that it can't exceed `(1)/(4)`.

For two series x and y which are correlated, the lines of regression of y on x and x on y are respectively y=x+5 and 16x=9y+95 , also sigma_y=4 , find sigma_x and r_(xy) .

If 4x - 5y + 33 = 0 and 20 x - 9y - 107 = 0 are two lines of regression, find the standard deviation of Y, the variance of x is 9.

If byx=-(1)/(4) , mean of x = 3 and mean of y = 3, then regression equation y on x is

For the given lines of regression, 3x – 2y = 5 and x - 4y = 7, find coefficient of correlation r(x, y)

Find r(X,Y) from the two regression equation 3x=y and 4y=3x .

For the given lines of regression, 3x – 2y = 5 and x - 4y - 7, find regression coefficients byx and bxy

For the lines of regression 4x-2y=4and2x-3y+6=0 , find the mean of 'x' and the mean of 'y'.

If two lines of regression are 4x + 2y - 3=0 and 3x + 6y + 5 = 0 , then find the correlation coefficient.

If the two lines of regression are 2x-y-4=0 and 9x-2y-38=0 , then the means of x and y variates respectively are

In sub-parts (i) and (ii) choose the correct option and in sub-parts (iii) to (v), answer the questions as instructed. Given that y=mx+c " and "x=4y+5 are two regression lines y on x and x on y respectively, such that 0 le m le k . Then k is equals to