A Pearson product-moment correlation coefficient can be used to express the degree of relationship for which situation(s) below?
A) A little anxiety produces poor results, a moderate amount produces good results, and a high level of anxiety produces poor results.
B) Early in training each trial helps only a little, but as training progresses, each trial causes a larger and larger gain.
C) For every extra year of growth in a pine forest, you can expect an increase of 10,000 board feet.
D) All of the other alternatives are correct.

Question

Quizplus · Accepted Answer

The Pearson product-moment correlation coefficient is used to express the degree of linear relationship between two variables. Option C describes a linear relationship where an increase in one variable (years of growth) is associated with a consistent increase in another variable (board feet), which is suitable for Pearson correlation. Options A and B describe non-linear relationships, which are not appropriately measured by the Pearson correlation coefficient.

A Pearson Product-Moment Correlation Coefficient Can Be Used to Express