Question

as the value of the correlation coefficient increases from 0 to 1, or decreases from 0 to —1, how do the points of the scatter plot fit the regression line? choose the correct answer.
○ they would be scattered further from the line.
○ they would be clustered closer to the line.
○ the points would be further from the origin.
○ the correlation coefficient determines the relationship, but tells nothing about the points.

Explanation:

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. When |r| increases (toward 1 or -1), the data points in a scatter plot cluster more closely around the regression line. A correlation of 0 means points are scattered randomly, while values near ±1 mean points are close to the line. So as the correlation coefficient moves from 0 to 1 or 0 to -1, points cluster closer to the line.

Answer:

They would be clustered closer to the line.