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Problem 4 - Entrance Test

A scientist plots the number of hours spent studying for an exam against the score received by a group of students. The resulting scatter plot shows points generally trending upwards from left to right, but with considerable spread around the trend line. [Imagine a scatter plot here: x-axis: Hours Studied (0-10), y-axis: Exam Score (0-100). Points show a general positive correlation, but not perfectly linear.] Which of the following best describes the relationship between hours studied and exam score, as depicted in the scatter plot?

Correct: C

A positive correlation means that as one variable increases, the other tends to increase. The description 'points generally trending upwards from left to right' indicates a positive correlation. The phrase 'considerable spread around the trend line' suggests that while there is a general upward trend, it's not perfectly consistent for every student (i.e., not a perfect positive correlation), nor is it a very tight grouping (i.e., not a strong positive correlation). Therefore, 'moderate positive correlation' is the most accurate description.