Question

If the correlation coefficient of two sets of variables (X, Y) is `(-3)/4`, which one of the following statements is true for the same set of variables?

Options

• Only one of the two regression lines has a negative coefficient.

• Both regression coefficients are positive.

• Both regression coefficients are negative.

• One of the lines of regression is parallel to the x-axis.

Answer 1

Both regression coefficients are negative.

Explanation:

A negative correlation occurs when the correlation coefficient is smaller than O. Thus if both regressions are negative, the correlation coefficient will likewise be negative. As a result, if the correlation coefficient is negative, both regression coefficients will be negative.