Question

When looking at attendance data for 2014-2015 school year, a principal graphed number of tardies, x, a student had compared to their grade point average (GPA), y. The principal found the correlation coefficient to be r = -0.94.

There is a ______________ relationship between the number of tardies and the GPA.Immersive Reader

(3 Points)
a.Linear
b.Exponential
c.Quadratic

Answer 1

a. Linear relationship.

Explanation:

Negative correlation describes a relationship of two variables in which one variable increases while the other decreases. It shows the the level at which the variables moves in opposite directions to each other.

In the given example, the two variables are inversely proportional. On plotting the variables against each other, it would have a downward slope. The correlation coefficient, r = -0.94, shows that the number of tardies of a student, x, and grade point average (GPA), y, have a linear relationship. As correlation coefficient is a measure of linear relationship, which could be negative, zero, or positive.