Question

Use the image to answer the question.

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

0.75
0.75

1
1

0.80
0.80

−1

Answer 1

Based on your description of the points plotted in an almost straight diagonal line in the first quadrant, it suggests a strong positive correlation between the x and y values. The correlation coefficient (r) ranges from -1 to 1, where values closer to 1 indicate a strong positive correlation.

Given the options provided, all of which are positive values except for -1, the best estimated correlation coefficient would likely be one of the higher options, as the points are described as "almost straight."

Considering the choices:
- 0.75 indicates a moderate to strong correlation.
- 1 indicates a perfect positive correlation.
- 0.80 indicates a strong correlation.
- −1 indicates a perfect negative correlation, which doesn’t apply here.

Since the points are near a straight line with an increasing trend, the best estimated correlation coefficient would likely be **0.80**. However, if the trend seems very close to being perfectly linear, **1** could also be justified if the line is indeed straight.

If you need to choose one, **0.80** is a safe estimate based on the description.