A correlation coefficient near zero most closely indicates

A correlation coefficient near zero most closely indicates

• A. Strong positive correlation
• B. Moderate correlation
• C. Weak correlation
• D. No correlation

Answer: (C)

The key idea is that the correlation coefficient measures how strongly two variables move together in a straight-line pattern. It ranges from -1 to 1, with values near 1 or -1 showing a strong linear relationship, and values near 0 indicating little to no linear pattern. When the coefficient is near zero, the points don’t align along a clear line, so the relationship is weak. It isn’t necessarily “no correlation,” since exact zero would be required to claim that, and real data can be near zero yet still show a nonlinear trend. So near zero most closely describes a weak correlation.

The key idea is that the correlation coefficient measures how strongly two variables move together in a straight-line pattern. It ranges from -1 to 1, with values near 1 or -1 showing a strong linear relationship, and values near 0 indicating little to no linear pattern. When the coefficient is near zero, the points don’t align along a clear line, so the relationship is weak. It isn’t necessarily “no correlation,” since exact zero would be required to claim that, and real data can be near zero yet still show a nonlinear trend. So near zero most closely describes a weak correlation.