Question

A college professor surveyed his class to see how many hours each student studied. The professor used each student's grade with how many hours they studied to create a scatter plot of the data. He determined that the correlation coefficient was 0.90.

Select the true statement based on the professor's correlation coefficient.

There is a negative correlation between the number of hours studied and the student's grade.

There is no correlation between the number of hours studied and the student's grade.

There is a strong correlation between the number of hours studied and the student's grade.

There is a weak correlation between the number of hours studied and the student's grade.

Answer 1

There is a strong correlation between the number of hours studied and the student's grade

Explanation:

The closer the absolute value of the coefficient is to 1, the stronger the correlation, the sign of the coefficient would also indicate a positive slope.

Answer 2

There is a strong correlation between the number of hours studied and the student's grade.

Explanation:

We know by given that the correlation coeffcient was 0.90.

Now, the correlation is weak when is close to 0, and it's strong in the opposite case.

So, basically, this coefficient represents a positive strong correlation.

If you observe each choice, the third one is the only one that expresses a strong correlation, therefore that's the answer.

There is a strong correlation between the number of hours studied and the student's grade.