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 -0.15. Based on this statistic we can conclude that:

A. 2.25% of the variability in the response can be explained by the variability in the predictor

B. -15% of the variability in the predictor can be explained by the variability in the response  

C. -15% of the variability in the response can be explained by the variability in the predictor

D.The probability that a statistically significant linear relationship exists between the response and the predictor is 0.15

E. 2.25% of the variability in the predictor can be explained by the variability in the response

Explanation / Answer

we are given r as -0.15 , so r2 would be

-0.15 * -0.15 = 0.0225 this is r square value . and this suggests that about 2.25% variation of the data is captured by the model . Hence correct answer is

A. 2.25% of the variability in the response can be explained by the variability in the predictor

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