In calculating the Pearson correlation coefficient, we assume that:
A) when the correlation coefficient is weak, there is a consistent, systematic relationship between the two variables.
B) the relationship we are trying to measure is curvilinear.
C) the variables we want to analyze have a binomially distributed population.
D) the variables have been measured using interval- or ratio-scaled measures.
E) when the correlation coefficient is strong and significant, the two variables are associated in a curvilinear fashion.

Question

Quizplus · Accepted Answer

The Pearson correlation coefficient is used to measure the strength and direction of a linear relationship between two interval or ratio-scaled variables. Therefore, option D is the correct answer as it states that the variables have been measured using interval- or ratio-scaled measures. Options A, B, and E all mention curvilinear relationships, which is not what the Pearson correlation coefficient is designed to measure. Option C mentions binomially distributed populations, which is a completely unrelated concept to the Pearson correlation coefficient.

In Calculating the Pearson Correlation Coefficient, We Assume That