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Suppose That a Sample of N = 12 Pairs of X

Question 17

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Suppose that a sample of n = 12 pairs of X and Y scores has SSY = 90 and a Pearson correlation of r = +0.40.
a. What proportion of the variance for the Y scores is predicted by the regression equation?
b. Does the regression equation predict a significant portion of the variance? Test with α = .05.

Correct Answer:

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a.r2 = 0.16 or 16%
b.F = 14.4/7.56 = 1.90...

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