Which one of the following statements about the relationship between two interval/ratio variables is TRUE?
A) If two variables have a perfect curvilinear relationship, their correlation will be 1.00.
B) If the correlation between two variables is negative, the slope of the bivariate regression line will be negative.
C) The further from zero the slope, the stronger the correlation.
D) The regression line is the "best-fitting" straight line because it maximizes the number of data points that it passes through.

Question

Quizplus · Accepted Answer

A negative correlation means that as one variable increases, the other variable decreases. Therefore, the bivariate regression line will have a negative slope, as it shows how the change in the independent variable relates to a change in the dependent variable. A perfect curvilinear relationship would not result in a correlation of 1.00, as this only indicates a perfect linear relationship. The strength of the correlation is determined by the absolute value of the correlation coefficient, not the slope. The regression line is the line that minimizes the residuals, not the number of data points it passes through.

Which One of the Following Statements About the Relationship Between