For a group of high school students, the correlation between math sat score and total sat score is about r = 0.9935. what can be said about r2? note: r2 = 0.987.


  1. Math SAT scores explain about 98.7% of the variation in the total SAT scores.

    What is a correlation?

    In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.
    A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.
    Since exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.
    In context, math SAT score explains about 98.7% of the variation in total SAT score.
    To learn more about correlation refer to:


Leave a Comment