Question

When looking at attendance data for the 2018-2019 school year, a principal graphed the 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 which statements best describes the fit of the model to the data?

Answer 1

The correlation coefficient shows that there's a strong negative correlation between variables.

The correlation coefficient is -0.94.

Answer 2

The correlation coefficient shows that there's a strong negative correlation between variables.

Explanation:

The correlation coefficient is -0.94.

It's important to know that a correlation coefficient is a statistical measure which goes from -1 to 1, if a correlation cofficient is more than 1 or lower than -1, it meas there's an error.

So, if a correlation coefficient gives zero, it means there's no correlation, if it's positive, there's a positive correlation and if it's negative, there's a negative correlation.

However, using the interval [-1,1], we can deduct if there's a strong or weak correlation. The closer the correlation coefficient gets to -1 or 1, the stronger it is.

Therefore, in this case, the correlation coefficient shows that there's a strong negative correlation between variables, because it's close to -1.