Use the image to answer the question.

Twelve points are plotted in a scattered increasing curved pattern in the first quadrant of a coordinate plane with x and y axes. The x-axis is labeled as Time Spent Studying and y-axis as Scores on a Test.

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

(1 point)
Responses

0.98
0.98

0.75
0.75

−0.98

0.98
negative 0.98

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1 answer

Based on your description of the scatter plot, it seems that there is a strong positive correlation between "Time Spent Studying" (x-axis) and "Scores on a Test" (y-axis). The data points are described as being in a scattered increasing curved pattern, which suggests that as time spent studying increases, test scores also tend to increase.

Given the options provided for the correlation coefficients:

  • 0.98: This indicates a very strong positive correlation.
  • 0.75: This indicates a moderate positive correlation.
  • −0.98: This indicates a very strong negative correlation.
  • 1: This indicates a perfect positive correlation.

Since the points are in a curved pattern and appear to have a strong positive trend, the best estimated correlation coefficient would likely be 0.98. This value reflects a strong positive correlation, which aligns with the description of the data, assuming the relationship isn't perfectly linear.

Therefore, the best choice is: 0.98