Question

Question

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
negative 0.98

1

Answer 1

Based on your description of the scatter plot with points indicating an increasing curved pattern, it suggests a strong positive correlation between the variables "Time Spent Studying" and "Scores on a Test."

Since the points seem to follow a trend that increases, a correlation coefficient close to +1 would be appropriate. Between the options presented:

• 0.98 indicates a very strong positive correlation.
• 0.75 also indicates a positive correlation but is not as strong as 0.98.
• −0.98 would imply a strong negative correlation, which does not align with your description.
• 1 suggests a perfect positive correlation, which might be too strong depending on the actual spread of the points.

Given this, the best estimated correlation coefficient for your description would likely be 0.98.