Question

A doctor wanted to determine whether there is a relation between a​ male's age and his HDL​ (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table below. Complete parts​ (a) through​ (f) below. LOADING... Click the icon to view the data obtained by the doctor. ​(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? A. The relation appears to be nonlinear. B. The relation appears to be linear. C. There does not appear to be a relation. Your answer is correct. ​(b) Determine the​ least-squares regression equation from the sample data. ModifyingAbove y with caret equals nothingxplus nothing ​(Round to three decimal places as​ needed.)

Age,x HDL CHLOESTROL,Y AGE,X HDL CHOLESTROL,Y

40 55 39 42

42 55 68 62

44 33 32 53

31 55 49 37

55 34 25 43

62 39 52 38

63 40 50 55

24 46 37 29

Answer 1

EXCEL (Mega Sta) output:

65 60 50 45 80 R2 0.002 O 40 35 30 25 20 80 60 70 40 50 30 20 Age A. The relation appears to be nonlinear (b). The least-squares regression equation from the sample data is --0.034x46.265