A doctor wanted to determine whether a relation exists between a male€™s age and his HDL (so-called good) cholesterol. He randomly selected 17 of his patients and determined their HDL cholesterol levels. He obtained the following data.

(a) Draw a scatter diagram of the data treating age as the explanatory variable. What type of relation, if any, appears to exist between age and HDL cholesterol?
(b) Compute the linear correlation coefficient between age and HDL cholesterol.
(c) Does a linear relation exist between age and HDL cholesterol?

Age HDL Cholesterol Age HDL Cholesterol 46 51 27 52 49 53 36 45 38 32 35 52 61 61 26 42 28 47