As the numerical value of a correlation increases, what happens to the standard

Question

As the numerical value of a correlation increases, what happens to the standard error of estimate?

A. The larger correlation means that the data points are clustered farther apart from the line, which means that the standard error of estimate is larger. B. The larger correlation means that the data points are clustered farther apart from the line, which means that the standard error of estimate is smaller. C. The larger correlation means that the data points are clustered closer to the line, which means that the standard error of estimate is larger. D. The larger correlation means that the data points are clustered closer to the line, which means that the standard error of estimate is smaller.

Explanation / Answer

WHen correlation is larger

1. The points are more aligned to the line >> the points are clustered closer to the line

2. If points are closer to the line the distance between the datapoints and the line is naturally smaller or in other words the standard error is lower /smaller

So, A and B and C are out, answer is D

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