When a positive relation exists between two variables, what will be true in the calculation of the Pearson correlation coefficient?
A) The product of most pairs of deviations will be positive.
B) Most deviation scores will be positive.
C) Most deviation scores will be negative.
D) The product of most pairs of deviations will be negative.

Question

Quizplus · Accepted Answer

In a positive correlation, as one variable increases, the other variable also increases. In the calculation of the Pearson correlation coefficient, the product of the deviations from the mean for each variable (i.e. the numerator of the formula) will be positive for most pairs, resulting in a positive or near-zero coefficient. Therefore, choice A is correct. Choices B and C are incorrect because not all deviation scores will be positive or negative in a positive correlation. Choice D is incorrect because in a positive correlation, the product of deviations will not be negative.

When a Positive Relation Exists Between Two Variables, What Will