2.101 What’s wrong? Each of the following statements contains an error. Describe each error and explain why the statement is wrong.

  1. (a) An influential observation will always have a large residual.

  2. (b) High correlation is never present when there is causation.

  3. (c) If we have data at values of x equal to 1, 2, 3, 4, and 5, and we try to predict the value of y for x = 2.5 using a least-squares regression equation, we are doing an extrapolation.