A researcher is interested in the relationship between the number of hours that students work each week and their grades. The collected data are shown below:

Hours        Worked (X) GPA (Y)

10                           3.2

0                             2.8

12                           3.5

3                             2.6

8                             2.9

19                           3.5

(a) Perform the analysis and draw a graph to show the relationship between the number of hours that students work each week and their GPA. (

(b) perform the analysis to determine if this relationship is significant. 

Using the data set above predict the GPA for a student that works 6 hours per week (show all work).