Question

for the data shown in the scatter plot, which is the best estimate of r? -0.65 0.95 -0.95 0.65

Explanation:

Step1: Determine the sign of \( r \)

Since the scatter - plot shows a negative correlation (as \( x \) increases, \( y \) decreases), \( r<0 \). So we can rule out \( 0.95 \) and \( 0.65 \).

Step2: Assess the strength of the correlation

The points in the scatter - plot are not extremely close to a straight line. A value of \( r=-0.95 \) would imply a very strong linear relationship where the points are almost on a straight line. The points in the given scatter - plot are more spread out compared to what \( r =-0.95 \) would suggest. A value of \( r=-0.65 \) indicates a moderate negative linear relationship, which is a better fit for the spread of the points in the scatter - plot.

Answer:

• 0.65