A scatterplot shows a strong, positive, linear relationship between the number of rebounds a basketball team averages and the number of wins that team records in a season. Which conclusion is most appropriate?

(A) A team that increases its number of rebounds causes its chances of winning more games to increase.

(B) If the residual plot shows no pattern, then it is safe to conclude that getting more rebounds causes more wins, on average.

(C) If the residual plot shows no pattern, then it is safe to conclude that getting more wins causes more rebounds, on average.

(D) If the r^2 value is close enough to 100%, then it is safe to conclude that getting more rebounds causes more wins, on average.

(E) Rebounds and wins are positively correlated, but we cannot conclude that getting more rebounds causes more wins, on average.

Question

Mathematics

Adonis Dalton

16 March, 11:25

A scatterplot shows a strong, positive, linear relationship between the number of rebounds a basketball team averages and the number of wins that team records in a season. Which conclusion is most appropriate?

(A) A team that increases its number of rebounds causes its chances of winning more games to increase.

(B) If the residual plot shows no pattern, then it is safe to conclude that getting more rebounds causes more wins, on average.

(C) If the residual plot shows no pattern, then it is safe to conclude that getting more wins causes more rebounds, on average.

(D) If the r^2 value is close enough to 100%, then it is safe to conclude that getting more rebounds causes more wins, on average.

(E) Rebounds and wins are positively correlated, but we cannot conclude that getting more rebounds causes more wins, on average.

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Answers (1)

Know the Answer?

Carleigh Caldwell · Answer 1

Answer: E

Conclusion E is most appropriate

Step-by-step explanation:

Rebounds and wins are positively correlated, but we cannot conclude that getting more rebounds causes more wins, on average.

Because if a scatterplot shows a strong, positive, linear relationship between two variables, then the two variables are positively correlated but there is no causation between them.