For the same set of observations on a specified dependent variable y,two different independent variables x₁and x₂were used to fit two separate simple linear regression models.Model 1 used x₁as the independent variable,and Model 2 used x₂as the independent variable.If the r² values from Model 1 and Model 2 were 0.92 and 0.85,respectively,then we can conclude that: A)Model 1 has greater utility in predicting y than Model 2. B)Model 2 has greater utility in predicting y than Model 1. C)There is not sufficient information to determine which of the two models has greater utility in predicting y.

Question

Quizplus · Accepted Answer

A higher correlation coefficient (r) indicates a stronger relationship between the independent variable and dependent variable. Since the r value for Model 1 (0.92) is higher than the r value for Model 2 (0.85), we can conclude that Model 1 has a stronger relationship and is a better predictor of y than Model 2. Therefore, the best choice is A.

For the Same Set of Observations on a Specified Dependent