Izumi is the score keeper for her schools basketball team at Florida State. Throughout the season, she has wondered if there is a relationship between field goals attempted and field goals made. She collected data for each player and created the scatter plot shown.

Question

The equation y = 0.41x - 3.37 is fit to the data Izumi collected.
Which statement correctly interprets the slope of the line of fit?
Responses

The number of field goals made decreased by 3.37 for each additional field goal attempted.
The number of field goals attempted decreased by 3.37 for each additional field goal made.
The number of field goals attempted increased by 0.41 for each additional field goal made.
The number of field goals made increased by 0.41 for each additional field goal attempted.

Answer 1

The slope of the line of fit \( y = 0.41x - 3.37 \) is 0.41.

In this context, \( y \) represents the number of field goals made, and \( x \) represents the number of field goals attempted. The slope (0.41) indicates that for each additional field goal attempted, the number of field goals made increases by 0.41.

Therefore, the correct interpretation of the slope is:

The number of field goals made increased by 0.41 for each additional field goal attempted.