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 -0.65. Based on this statistic we can conclude that:

-65% of the variability in the predictor can be explained by the variability in the response-65% of the variability in the response can be explained by the variability in the predictor    42.25% of the variability in the response can be explained by the variability in the predictor42.25% of the variability in the predictor can be explained by the variability in the responseThe probability that a statistically significant linear relationship exists between the response and the predictor is 0.65

Explanation / Answer

As the proportion of those that can be predicted by the predictor is R^2, then

R^2 = 0.4225

Thus, the answer is

OPTION B: 42.25% of the variability IN THE RESPONSE can be explained by the variability in THE PREDICTOR.

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