Question

which of the following is a possible r value for the graph?
0.98
0.74
0.43
0.21

Explanation:

Step1: Interpret scatter plot trend

The scatter plot shows a strong positive linear trend: as the x-value increases, the y-value consistently increases, and points are clustered closely around an imaginary positive-slope line.

Step2: Match trend to r-value

The correlation coefficient $r$ ranges from -1 to 1. A strong positive trend corresponds to an $r$-value close to 1. Among the options, 0.98 is closest to 1, while 0.74, 0.43, and 0.21 represent weaker positive correlations that do not match the tight clustering of points.

Answer:

0.98