Determine which of the following statements is/are true for a simple linear relationship, y = 0+ 1x + .

(i) If = 0, the 95% confidence interval is equal to the 95% prediction interval.

(ii) The prediction interval is always at least as wide as the confidence interval.

(iii) The prediction interval quantifies the possible range for

E(y|x).

a.

(ii) only

b.

The correct answer is not given by any of these other choices

c.

(i) only

d.

(i), (ii) and (iii)

e.

(iii) only

PLEASE EXPLAIN OR SHOW WORKING