Question

Which statement below is consistent conceptually with what a computed Pearsons r value represents?

		The Pearson's r value represents the degree to which X and Y scores vary separately relative to how much X and Y scores covary together.
		The Pearson's r value represents the degree to which X and Y scores covary together relative to how much X and Y scores vary separately.
		The Pearson's r value represents the degree to which between groups variability exists, relative to within groups variability.
		The Pearson's r value represents the degree to which within groups variability exists, relative to between groups variability.

Answer 1

The Pearson's r value represents the degree to which X and Y scores covary together relative to how much X and Y scores vary separately.

The formula for Pearson's correlation coefficient is:

or equivalently

It is the degree to which X and Y covary together (Sxy) relative to how much they vary separately (Sxx and Syy)

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