Use the image to answer the question.

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. A positive linear relationship

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

(1 point)
Responses

1
1

0.80
0.80

0.75
0.75

−1
negative 1
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Answer 1

Based on your description of the points plotted in an almost straight diagonal line in the first quadrant, it indicates a strong positive linear relationship between the variables. The correlation coefficient (r) ranges from -1 to 1, where 1 signifies a perfect positive correlation, and values close to 1 indicate a strong positive relationship.

Given the options:

• 1 (perfect correlation)
• 0.80 (strong positive correlation)
• 0.75 (strong positive correlation)
• -1 (perfect negative correlation)

Since the points are in an almost straight line and show an increasing trend, the best estimate for the correlation coefficient would likely be either 0.80 or 0.75. However, since you described the trend as strong, the best estimated correlation coefficient would be 0.80.