Use the image to answer the 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?

(1 point)
Responses

0.9
0.9

−1

1
negative 1

1
1

−0.9

1 answer

Based on your description of the eleven points plotted in a diagonal pattern in the first quadrant of a coordinate plane, it seems like there is a strong positive linear relationship between the x and y values.

If the points are closely following a diagonal line from the lower left to the upper right, the correlation coefficient is likely to be close to +1.

Among the options given, the best estimated correlation coefficient would be:

1

This suggests a perfect positive correlation, reflecting that as x increases, y also increases in a consistent manner. However, since your description mentions a trend, if it wasn't a perfect line but still very close, 0.9 could also be a reasonable estimate.

If you have to choose just based on your description, I would advise going with 0.9 if there's any suggestion of variance, but otherwise, 1 would indicate a strong correlation if the points were perfectly aligned.