In linear regression, an r² of .984 implies what? A) 98.4% of the variability of the independent variable is explained by the dependent variable B) 98.4% of the variability of the dependent variable is explained by the independent variable C) 1.6% of the variability of the independent variable is explained by the dependent variable D) 1.6% of the variability of the dependent variable is explained by the independent variable E) 99.2% of the variability of the dependent variable is explained by the independent variable

Question

Quizplus · Accepted Answer

A correlation coefficient (r) of .984 indicates a strong positive relationship between the independent variable and dependent variable. However, since it is not an r-squared value, it cannot indicate the percentage of variability explained by either variable alone. An r-squared value would be necessary for this interpretation. Therefore, choice B is correct because it is the only option that correctly interprets the given correlation coefficient without making any assumptions about the percentage of variability explained.

In Linear Regression, an R2 of

In Linear Regression, an R² of