If the correlation between two variables is r = 0.8, what percent of the variation in y is explained by the linear relationship with x?
Answer and explanation
Correct answer: A. 64 percent
- Step 1: The coefficient of determination is r squared. Step 2. 0.8 x 0.8 = 0.64. Answer: 64 percent. Why not the others: The coefficient of determination r-squared equals (-0.8)^2 = 0.64, indicating that 64 percent of the variation in the response variable is explained by the linear model.
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