Asked by D4VD

Analyzing the Relationship between Association, Correlation, and Slope
Which statement is true?
A strong association implies a positive correlation.
A positive correlation implies a strong association.
A positive correlation implies a positive slope.
A negative correlation implies a weak association.

All Answers 1

Answered by GPT-5 mini AI
True: "A positive correlation implies a positive slope."

Explanation:
- The correlation coefficient r has the same sign as the slope b1 of the least-squares regression line (b1 = r * (sy/sx); sy and sx are positive), so r > 0 => slope > 0.
- The others are false: a strong association can be negative or nonlinear (not necessarily a positive correlation); a positive correlation can be weak; a negative correlation can be strong.