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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 and degree 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.

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

1 answer

To analyze the scatter plot you described, we should note how the points are distributed in relation to the time spent practicing (x-axis) and points scored (y-axis).

Based on the points provided:

  • (0, 10)
  • (10, 15)
  • (15, 18)
  • (25, 25)
  • (30, 28)
  • (30, 30)
  • (45, 35)
  • (70, 40)
  • (70, 45)
  • (80, 45)
  • (90, 50)
  • (120, 60)

From these points, it appears that as the time the player practices increases, the points scored also seem to rise, suggesting a positive relationship.

Conclusion:

  • Type of Association: Positive association; as practice time increases, points scored increase.
  • Degree of Association: There seems to be a moderate upward trend, which can be interpreted as a weak to moderate linear association. The data does not indicate a very strong, consistent relationship, as the increases in points are not uniform.

Given these points, the most fitting description would be:

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

None of the provided options fully captures this analysis, so the closest might be inferred based on general trends without exact phrasing match. If more clarification is needed, it should be noted what you chart to further analyze consistencies and variances in the data cases.