Below are the GPAs and numbers of delinquent friends for a group of high school students. Use the information to answer the following questions.

GPA # of Delinquent Friends

3.8 7 3.5 8 2.2 9 2.5 5 1.8 9 2.3 6 3.2 4

1) Calculate the correlation coefficient

2) Interpret the above correlation coefficient. That is, describe the direction and magnitude of the association between levels of GPA and number of delinquent friends.

3) Calculate the coefficient of determination between GPA and number of criminal friends.

4) How much of the variance in the relationship between these two variables is accounted for? How much of the variance is unaccounted for?