Question

Derek analyzed the relationship between the mean number of points scored per game by a basketball team and the team's mean home attendance for several seasons. Derek uses the function y=−7,628+325.5x to describe the data. In the function, x represents the mean number of points scored per game, and y represents the mean home attendance. If the team's mean number of points scored per game is 60 next season, what does the model predict that the team's mean home attendance will be? The model predicts that the mean home attendance will be _____ .

Answer 1

Answer:

Step-by-step explanación

0.02

Answer 2

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

$y = -7628+325.5x$

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

$y = -7628+325.5 \times 60$

Evaluate the product

$y = -7628+19530$

Add -7628 and 19530

$y = 11902$

Hence, the model predicts that the mean home attendance will be 11902

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