If it is known that a simple linear regression model explains 56 percent of the variation in the dependent variable and that the slope on the regression equation is negative, then we also know that the correlation between x and y is approximately -0.75.

Question

Quizplus · Accepted Answer

The coefficient of determination (R²) is 0.56, indicating that the correlation coefficient (r) is the square root of 0.56. Since the slope is negative, r is negative, approximately -0.75.

If It Is Known That a Simple Linear Regression Model