Use the image to answer the question.

Question

Eleven points are plotted in a diagonal pattern 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?

−0.9
negative 0.9

0.9
0.9

1
1

−1

Answer 1

Based on the description provided, the points are plotted in a diagonal pattern in the first quadrant, indicating a strong positive correlation as the points are moving upwards from left to right.

Given that the trend is described as increasing and the points follow a diagonal line pattern, the best estimated correlation coefficient from the choices provided is:

0.9

This indicates a strong positive correlation. A correlation coefficient of 1 would indicate a perfect linear relationship, which may not be the case if there are slight deviations among the points. Therefore, 0.9 is the most appropriate estimate.