Find the most probable value of y if x is 70 and the most probable value of x when y 1890 give that
co-efficient of correlation between x and y is 0.8
x̄ = 18 ȳ = 100
σx = 14, σy = 20 and γxy = 0.8
To find y when x = 70 we need regression equation of y on x:
= 1.1429(52)
y = 59.43 + 100
∴ y= 159.43
To find x when y = 90, we need regression equation of x on y
