Construct a 90% prediction interval for total points earned in Exercise 13 when the number of goals

Question:

Construct a 90% prediction interval for total points earned in Exercise 13 when the number of goals allowed by the team is 250.

Construct the indicated prediction interval and interpret the results.

Data from Exercise 13:

The table shows the number of goals allowed and the total points earned (2 points for a win and 1 point for an overtime or shootout loss) by the 14 Western Conference teams in the 2016–2017 National Hockey League season. The equation of the regression line is ŷ = -0.573x + 220.087.

278 Goals allowed, r 213 109 106 256 262 224 208 218 79 Points, y 94 48 99 87 221 Goals allowed, r 200 212 201 205 260 2