Question

if we assume that the conditions for correlation are met, which of the following are true? if false, explain briefly. complete parts (a) through (c) below. a) a correlation of - 0.98 indicates a strong, negative association. is this statement true? if false, explain briefly. choose the correct answer below. a. this statement is true. b. this statement is false. it is a weak, negative association. a negative correlation coefficient shows a weak association. c. this statement is false. it is a weak, negative association. the smaller the correlation coefficient is, the weaker the association. d. this statement is false. it is a weak, negative association. correlations range from - 100 to 100. since this value is barely - 1, this is weak.

Explanation:

Step1: Recall correlation coefficient range

The correlation coefficient ($r$) ranges from - 1 to 1, not - 100 to 100.

Step2: Evaluate strength of correlation

A value of $r=-0.98$ is close to - 1. When the absolute - value of the correlation coefficient $|r|$ is close to 1 (either positive or negative), it indicates a strong association. A negative value indicates a negative association.

Answer:

A. This statement is true.