Question

a graph of the number of math doctoral degrees and the number of science doctoral degrees awarded in a 10 - year period at a university is shown. the line of the best fit of the data has a correlation coefficient, r, of 0.99. which statement is supported by the data? there is a strong positive correlation, which means the number of science doctorates is causing a rise in the number of math doctorates. even though the correlation is strong, it cannot be determined whether or not there is causation. the data suggests that there is no relationship between the number of math doctorates and the number of science doctorates. there is a strong positive correlation, which means the number of math doctorates is causing a rise in the number of science doctorates.

Explanation:

A correlation coefficient \(r = 0.99\) indicates a very strong positive linear relationship between math doctoral degrees and science doctoral degrees. However, correlation does not inherently prove causation—there could be other external factors influencing both variables, or the relationship could be coincidental in terms of direct cause-effect.

Answer:

Even though the correlation is strong, it cannot be determined whether or not there is causation.