Two independent variables x and y have means 5 and 10 and variances 4 and 9 respectively. Find the coefficient of correlation between u and v where (i) u = 3x + 4y: v = Зх — у (ii) If x and y are not independent and r = •5, u = X + y. V - X -

What does a correlation coefficient of 2​ indicate? There is a weak relationship between the two quantitative variables.  It indicates a calculation​ error, as the correlation coefficient cannot be 2. There is a strong relationship between the two quantitative variables. It indicates a​ non-linear relationship between the two quantitative variables. There is no linear relationship between the two quantitative variables.

When two variables have a perfect linear relationship, the correlation coefficient is always 1.  True False

Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show that correlation between Y1 +  Y2 and  Y2 +  Y3 is equal to half. Whether correlation coefficient is zero or not