Problem: 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