Question

what does the correlation coefficient of -0.975 on a linear regression indicate?

the scatterplot shows no association of
the variables.

one variable has a strong relationship
with the other.

one variable causes the other.

the slope is positive.

Explanation:

A correlation coefficient ranges from -1 to 1. Values close to -1 or 1 indicate a strong linear relationship; a negative sign means the relationship is inverse. A coefficient of -0.975 is very close to -1, so it signals a strong linear association between the variables. Correlation does not prove causation, rules out the causation option. A negative coefficient means a negative slope, and a value near -1 clearly shows an association, so the other incorrect options are eliminated.

Answer:

One variable has a strong relationship with the other.