Question

the correlation coefficient, r, is a number between
○ −∞ and ∞
○ 0 and 1
○ 0 and 100
○ 0 and 10
○ -10 and 10
○ 0 and ∞
○ -1 and 1

Explanation:

Step1: Recall correlation coefficient range

The correlation coefficient \( r \) measures linear association. Its range is between -1 and 1. -1 is perfect negative linear correlation, 1 is perfect positive, and 0 is no linear correlation.

Step2: Eliminate other options

Options like \(-\infty\) to \(\infty\), 0 - 100, etc., don't match the defined range of \( r \). Only \(-1\) to \( 1 \) is correct.

Answer:

-1 and 1 (the last option: \(\bigcirc\) -1 and 1)