Thirteen points are plotted in an almost straight diagonal line in the first quadrant of a coordinate plane with x and y axes. The first point starts almost at the origin and shows an increasing trend.

Based on the data, which of the following choices would be the best estimated correlation coefficient?

(1 point)
Responses

0.80
0.80

0.75
0.75

1
1

−1

1 answer

Based on the description of the thirteen points plotted in an almost straight diagonal line in the first quadrant, showing an increasing trend, the best estimated correlation coefficient would be:

0.80

This value suggests a strong positive correlation. A correlation coefficient of 1 would indicate a perfect linear relationship, which may not be the case if the points are described as "almost" in a straight line. The negative correlation coefficient options (like −1) do not apply since the trend is increasing. Therefore, 0.80 is the most reasonable estimate.