Data was collected on the scores on two tests. The resulting coefficient of determination is r� = 0.86. What is the correct interpretation of this value?

This statement misinterprets the meaning of the coefficient of determination. r² does not represent a ratio of y to x; instead, it quantifies the proportion of variance explained. Thus, it cannot be accurately described as a ratio between the two variables.

This choice inaccurately suggests a direct comparison of total variations between the two variables. The coefficient of determination specifically refers to how much variation in the dependent variable (y) is explained by the independent variable (x), rather than indicating the total variations of each variable in relation to one another.

While the coefficient of determination indicates the strength of the relationship, it does not directly convey the slope of the linear regression equation. The slope represents the change in y for a unit change in x, which isn't determined solely by r². Thus, it cannot be assumed that the slope is either 0.86 or -0.86 based on the r² value alone.