If I wanted to determine whether there is a relation between amale'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 theleast-squares regression equation from the sample data, and assuming the residuals are normallydistributed, how do I test whether a linear relation exists between age and HDL cholesterol levels at the =0.01 level of significance? How would I then compute the P-value and assuming the residuals are normallydistributed, how would I construct a 95% confidence interval about the slope of the trueleast-squares regression line shoeing the Lower and Upper Bound?

Age, xHDL Cholesterol, yAge, xHDL Cholesterol, y

37553642

43536760

48362952

34555035

57332546

52395438

61404755

60363830

2848