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

0.80
0.80

1
1

0.75
0.75

−1

1 answer

Based on your description of the thirteen points plotted in an almost straight diagonal line in the first quadrant, it seems that there is a strong positive linear relationship between the x and y values.

In terms of correlation coefficients:

  • A value of 1 indicates a perfect positive correlation.
  • A value close to 1 (such as 0.8 or 0.75) also indicates a strong positive correlation, but not perfect.
  • A value of -1 indicates a perfect negative correlation.

Since the points are described as being in an "almost straight diagonal line" with an increasing trend, the best estimated correlation coefficient from the provided options would be 0.80.

Option: 0.80