Question

If the coefficient of determination is a positive value, then what kind of slope must the regression equation have?

Answer 1

The regression equation must have a positive slope.

Explanation:

The coefficient of determination, which can be any value from -1 to 1, denotes the strength and direction of the relationship between the x-value and the y-value.

Coefficients of determination near 0 indicate a weak or nonexistent relationship.
Positive coefficients of determination indicate that there is a positive relationship- y generally increases with x.
Negative coefficients of determination indicate that there is a negative relationship- y generally decreases as x increases.

Positive slopes indicate that there is a positive relationship- y increases with x.
Negative coefficients of determination indicate that there is a negative relationship- y decreases as x increases.

Here is a helpful article on the subject: https://www.thoughtco.com/slope-of-regression-line-3126232