If $r_{XY}$ is positive, the relation between X and Y is of the type _______.
Answer & explanation
Correct answer: option 1
The correct answer is Option1: When Y increases X increases
When the correlation coefficient \( r_{XY} \) is positive, it indicates a positive linear relationship between variables \( X \) and \( Y \).
Positive Correlation: A positive correlation means that as one variable (Y) increases, the other variable (X) tends to increase as well. Conversely, when Y decreases, X also tends to decrease. This relationship is described as a direct proportionality where changes in Y are associated with corresponding changes in X in the same direction.
Therefore, option (i) "When Y increases X increases" correctly describes the nature of the relationship between X and Y when the correlation coefficient \( r_{XY} \) is positive.