Question

a collection of data is shown in the scatterplot. which value is the best estimate of the correlation coefficient of a line of best fit for the data? no answer text provided. no answer text provided. -0.9 -0.09 0.8 0.08

Explanation:

Step1: Analyze the direction of the correlation

As the \(x\) - values increase, the \(y\) - values decrease. So, the correlation is negative.

Step2: Analyze the strength of the correlation

The points are somewhat close to a line (not perfectly close, but not too scattered). A correlation coefficient of \(- 0.9\) indicates a strong negative correlation, \(-0.09\) indicates a very weak negative correlation. Since the points show a relatively strong negative trend (not extremely strong like \(r=-1\), but stronger than a weak correlation), we can eliminate the positive values (\(0.8\) and \(0.08\)) and the very weak negative value (\(-0.09\)).

Answer:

\(-0.9\)