A study has shown that a good model for the relationship between X and Y , the first and second year batting averages of a randomly chosen major league baseball player, is given by the equation Y = .159 + .4X + e where e is a normal random variable with mean 0. That is, the model is a simple linear regression with a regression toward the mean. (a) If a players batting average is .200 in his first year, what would you predict for the second year? (b) If a players batting average is .265 in his first year, what would you predict for the second year? (c) If a players batting average is .310 in his first year, what would you predict for the second year?

Lecture 6: Random Variables 8.1 Random Variables - Definition: A random variable assigns a number to each outcome of a random circumstance, or, equivalently, a random variable assigns a number to each unit in a population. - Two broad classes of random variables: discrete random variables and continuous random...