The scatter plot shows the relationship between the amount of time students in a mathematics class studied for an exam and their score on the exam.

scatter plot titled mathematics class, with the x axis labeled time studying in minutes and the y axis labeled score on exam with points at 0 comma 50, 10 comma 52, 30 comma 54, 40 comma 55, 50 comma 55, 60 comma 56, 70 comma 60, 75 comma 65, 80 comma 70, 85 comma 78, 90 comma 83, 95 comma 90, 100 comma 95, and 105 comma 100

Which of the following describes the pattern of association for the graph?

Group of answer choices

There is a positive linear association.

There is a positive nonlinear association.

There is a negative nonlinear association.

Flag question: Question 2
Question 20.5 pts
M08.D-S.1.1.1

The relationship between the amount of time a basketball player spent practicing the day before a game and the number of points he scored in the game is graphed on the scatter plot shown.

scatter plot titled basketball players, with the x axis labeled time practicing in minutes and the y axis labeled points scored with points at 0 comma 10, 10 comma 15, 15 comma 18, 25 comma 25, 30 comma 28, 30 comma 30, 45 comma 35, 70 comma 40, 70 comma 45, 80 comma 45, 90 comma 50, and 120 comma 60

Describe the type of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.

Group of answer choices

As the time a basketball player practices increases, the number of points scored in a game decreases with a linear association.

As the time a basketball player practices increases, the number of points scored in a game increases with a linear association.

As the time a basketball player practices increases, the number of points scored in a game increases with a nonlinear association.

1 answer

Question 1: Mathematics Class Scatter Plot

For the scatter plot showing the relationship between the amount of time students studied and their exam scores, the following options are available:

  1. There is a positive linear association.
  2. There is a positive nonlinear association.
  3. There is a negative nonlinear association.

Based on the points provided (e.g., as time studying increases, scores also generally increase), the relationship seems to indicate that higher study times correspond to higher scores, but the pattern is not perfectly linear (there may be some leveling off at higher study times).

Answer: There is a positive nonlinear association.


Question 2: Basketball Players Scatter Plot

For the scatter plot showing the relationship between the time a basketball player practices and the number of points scored, the options are:

  1. As the time a basketball player practices increases, the number of points scored in a game decreases with a linear association.
  2. As the time a basketball player practices increases, the number of points scored in a game increases with a linear association.
  3. As the time a basketball player practices increases, the number of points scored in a game increases with a nonlinear association.

Analyzing the points given, it appears that as practice time increases, the number of points scored also tends to increase, but it's not perfectly linear (points scored rise but not at a constant rate; there are fluctuations).

Answer: As the time a basketball player practices increases, the number of points scored in a game increases with a nonlinear association.