which could be the approximate value of the correlation coefficient for the accompanying scatter plot? -0.85…

Explanation:

Step1: Analyze scatter - plot direction

The points in the scatter - plot are going upwards from left to right, indicating a positive linear relationship. So the correlation coefficient $r>0$. This eliminates the options - 0.85 and - 0.16.

Step2: Analyze scatter - plot tightness

The points are closely clustered around a line, which means the linear relationship is strong. A value of $r = 0.21$ represents a weak positive correlation, while a value of $r=0.91$ represents a strong positive correlation. Since the points are tightly grouped, the correlation coefficient is close to 1.

Answer:

0.91