If I wanted to determine whether there is a relation between a? male's age and his HDL? (so-called good) cholesterol. I randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained is the in the data table below. How do I determine the? least-squares regression equation from the sample data, and assuming the residuals are normally? distributed, how do I test whether a linear relation exists between age and HDL cholesterol levels at the α=0.01 level of significance? How would I then compute the P-value and assuming the residuals are normally? distributed, how would I construct a? 95% confidence interval about the slope of the true? least-squares regression line shoeing the Lower and Upper Bound?

Age, x    HDL Cholesterol, y                   Age, x    HDL Cholesterol, y

 37                    55                                    36                    42

 43                    53                                    67                    60

 48                    36                                    29                    52

 34                    55                                    50                    35

 57                    33                                    25                    46

 52                    39                                    54                    38

 61                    40                                    47                    55

 60                    36                                    38                    30

 28                    48