A basketball coach of a youth team wishes to predict the number of points the players will score in their first season as a junior (y) based on the number of points they scored in their last season as youth players (x). The average number of points the team scored as youth players was $\overline{x}$=7.9 and the average number of points they scored in their first year as junior players was $\overline{y}$ = 10.2. The slope is b₁ = 0.79. What is the predicted number of goals for a player who scored 7 goals in his last season as a youth player? A) 7.78 B) 9.49 C) 11.46 D) 15.58

Question

Quizplus · Accepted Answer

The prediction equation can be written as $y = b(x - \overline{x}) + \overline{y}$, where $b$ is the slope, $\overline{x}$ is the average number of points scored as youth players, and $\overline{y}$ is the average number of points scored in their first year as junior players. Substituting the given values: $y = 0.79(7 - 7.9) + 10.2$, simplifying gives $y = 0.79(-0.9) + 10.2 = -0.71 + 10.2 = 9.49$.

A Basketball Coach of a Youth Team Wishes to Predict x‾\overline{x}x

A Basketball Coach of a Youth Team Wishes to Predict $\overline{x}$