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.

Age_-_x   HDL Cholesterol_-_y
36   58
44   56
46   33
30   55
57   36
52   42
62   42
60   39
25   48
38   44
68   60
28   52
52   34
27   47
53   39
47   54
40   27

(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. There does not appear to be a relation.

B. The relation appears to be nonlinear.

C. The relation appears to be linear.

Answer 1

A. There does not appear to be a relation.

Since the data points are scatter and does not follow any pattern.

Calculation the coefficient of correlation to check for relationship

	X	Y	X * Y
	36	58	2088	1296	3364
	44	56	2464	1936	3136
	46	33	1518	2116	1089
	30	55	1650	900	3025
	57	36	2052	3249	1296
	52	42	2184	2704	1764
	62	42	2604	3844	1764
	60	39	2340	3600	1521
	25	48	1200	625	2304
	38	44	1672	1444	1936
	68	60	4080	4624	3600
	28	52	1456	784	2704
	52	34	1768	2704	1156
	27	47	1269	729	2209
	53	39	2067	2809	1521
	47	54	2538	2209	2916
	40	27	1080	1600	729
Total	765	766	34030	37173	36034