Dr.Loggins conducts a study examining the relationship between shoe size and scores on a math aptitude test in a sample of 15,000 young adults.He finds a significant negative correlation (r = -.06)between these two variables.What should he conclude from his data?

Question

Quizplus · Accepted Answer

While there is a statistically significant negative correlation between shoe size and math aptitude test scores, the correlation coefficient is small (r = -.06) indicating a weak practical significance. This means that shoe size is not a good predictor of math aptitude test scores, and the relationship between the two variables is not strong enough to be of much practical value. Therefore, Dr. Loggins should conclude that the practical significance of this finding is limited. Option A is incorrect because a negative correlation does not mean that a smaller foot size implies better math scores. Option B is incorrect because statistical significance does not automatically translate into generalizable results. Option D is incorrect because a weak negative correlation is not enough to reliably predict math scores from foot size.

DrLoggins Conducts a Study Examining the Relationship Between Shoe Size