Question: A researcher reports that the correlation between two quantitative variables is R = 0.8. Which of the following statements is correct? The average value of

A researcher reports that the correlation between two quantitative variables is R = 0.8. Which of the following statements is correct?

The average value of y changes by 0.8 when x is increased by 1

The average value of x changes by 0.8 when y is increased by 1

The explanatory variable (x) explains 0.8 of the variation in the response variable (y)

The explanatory variable (x) explains 0.8^2 = 0.64 of the variation in the response variable (y)

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