Question: 4.48 Given a random variable X, with standard deviation X , and a random variable Y = a + bX, show that if b <

4.48 Given a random variable X, with standard deviation

σX , and a random variable Y = a + bX, show that if b < 0, the correlation coefficient ρX Y = −1, and if b > 0, ρX Y = 1.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Inferential Statistics Questions!