Question

the correlation coefficient between two variables is -.3. what does that tell you about the slope of the corresponding least squares line? (think carefully about the properties of standard deviation)

Answer 1

the slope is negative

Explanation:

You want the slope of the regression line if the correlation coefficient is -0.3.

Sign

The slope of the regression line is the product of the correlation coefficient and the ratio of the standard deviations of y and x. The two standard deviations are always positive, so the sign of the slope is the sign of the correlation coefficient.

m = r(σy/σx)

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