The value of the linear correlation coefficient is reported by an investigator t

Question

The value of the linear correlation coefficient is reported by an investigator to be -0.25. Based on this statistic we can conclude that:
(hint: what does "% of the variability in _________ explained by the variability in _________" refer to?) :

1)-25% of the variability in the response can be explained by the variability in the predictor

2)6.25% of the variability in the response can be explained by the variability in the predictor    

3)-25% of the variability in the predictor can be explained by the variability in the response

4)6.25% of the variability in the predictor can be explained by the variability in the response

5)The probability that a statistically significant linear relationship exists between the response and the predictor is 0.25

Explanation / Answer

The correlaiton coefficient is r = -0.25

The correlation coefficient is r^2 = (-0.25) * (-0.25) = 0.0625 = 6.25%

2)

6.25% of the variability in the response can be explained by the variability in the predictor

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