This question refers to the random variables X and Y from Question 1. Use your calculatedvalues from that question while answering this question.(a) Let Z = Y − aX, where a is a constant to be specified. There is one value of a for whichX and Z are uncorrelated. Find this value of a. [3 marks](b) Let W = X − bY , where b is a constant to be specified. There is one value of b for whichY and W are uncorrelated. Find this value of b. [3 marks](c) Verify that ab = ρ2X,Y

Question content area top Part 1 A random variable X is normally distributed with a mean of 64 and a variance of 64​, and a random variable Y is normally distributed with a mean of 160 and a variance of 256. The random variables have a correlation coefficient equal to 0.6. Find the mean and variance of the random variable below. W=3X+6Y 用中文解答

If X and Y are two random variables, then which of the following is WRONG?

If X and Y are two indepnedent random variables, then

Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals – 0.30, A. the variance of X is negative. B. variable X is larger than variable Y.                          C. there is no correlation.                                      D.  the slope (b1) is negative.

Which of the following are measured by correlation coefficienta.Linear association between two random variablesb.Direction of relationship between two variables (positive or negative association)c.A unit free value for the strength of linear relationship between two random variablesd.All of the above