6. (5 pts) In the following data set, the equation of the regression line to predict GPA from Age is y = .15x-.08. This line predicts that a person who is 23 years old will have a GPA of 3.27. However, looking at the data itself, a 22-year-old has a 3.9 GPA and a 25-year-old has a 3.6 GPA, so shouldn't a 23-year-old have a GPA which is somewhere between 3.6 and 3.9? Explain why this prediction comes about (and makes sense), given the relationships we see in the data. Age GPA 30 4.0 18 2.0 25 3.6 22 3.9 8. (12 pts) A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes, and their age of death. The data is summarized below: Ox=235 y=135728 y 1642 SSx-3565.75 Oxy = 17641 SSy=919.8 x = 6327 Find the correlation coefficient (r):