2. Life insurance companies are very interested in predicting how long their client will live, because their premiums and profitability depend on this variable. An actuary for an individual insurance company collected data on 100 recently disappeared male clients. She recorded the client's age at death, the ages at death of his mother and father, the ages at death of his grandmother and grandfather, and the client's smoking or non-smoking habits. (Xr18-10)

a. Perform a regression analysis on these data. b. Comment on the validity of the regression model. C. Determine which independent variables had a linear relationship with customer longevity at 95% confidence. d. Interpret each coefficient of the regression. me. Predict with a 95% confidence level that the longevity of a man whose parents lived to 70 years, his grandmother lived to 80 years, his grandfather lived to 75 years, and is a non-smoker.

Longevity	Mother	Father	Grandmother	Grandfather	Smoke
80	85	78	72	71	0
73	88	63	76	66	1
70	66	75	67	57	1
72	72	67	68	55	1
79	88	73	64	73	0
83	90	72	74	62	0
70	67	65	70	59	1
72	76	71	74	61	1
72	66	75	71	63	1
71	78	64	76	61	1
67	69	66	61	69	1
74	71	76	73	60	0
80	74	77	69	68	0
63	68	66	67	67	1
71	70	70	71	67	1
66	64	66	63	57	1
74	82	71	75	65	0
71	71	71	68	62	1
65	75	60	63	62	1
74	76	66	66	69	0
66	69	68	61	65	1
71	76	67	63	71	1
73	69	80	64	61	1
74	79	70	77	60	0
68	74	62	59	63	1
77	81	78	73	62	0
77	85	69	80	65	0
74	77	69	75	69	1
68	72	71	72	66	1
68	75	63	65	65	1
74	82	66	72	62	0
71	73	72	68	71	1
80	84	73	77	68	0
72	75	61	77	61	1
77	82	76	71	63	0
76	88	69	75	67	0
62	65	57	68	57	1
70	75	57	67	57	1
71	72	67	67	64	1
69	72	63	68	67	1
73	79	71	74	65	1
72	77	69	72	65	1
84	80	90	72	71	0
73	76	74	69	65	1
70	78	70	78	54	1
78	75	74	58	70	0
82	83	78	77	65	0
77	75	66	72	60	0
67	68	69	73	62	1
72	69	72	69	68	1
67	67	67	72	66	1
72	78	64	67	66	1
75	73	69	71	61	0
72	71	66	68	68	1
75	73	73	66	59	0
80	84	75	71	74	0
72	78	64	66	61	1
71	76	61	74	61	1
71	77	70	73	61	1
89	86	77	74	69	0
74	79	71	70	77	0
72	72	77	71	68	1
74	78	68	67	72	0
77	85	77	77	71	0
77	72	72	63	64	0
73	67	71	65	69	1
72	74	64	74	62	1
65	66	63	72	60	1
81	82	77	73	69	0
76	80	70	63	60	0
64	71	67	66	66	1
72	73	69	64	67	1
69	75	67	60	62	1
59	59	62	68	56	1
69	73	69	72	53	1
76	82	65	72	69	0
63	71	56	61	53	1
66	74	64	72	63	1
72	85	60	67	67	1
68	72	66	65	68	1
73	80	75	67	67	1
78	82	72	71	72	0
83	82	82	76	72	0
78	82	70	76	64	0
67	73	62	65	59	1
70	77	60	69	67	1
68	74	79	72	65	1
66	80	63	75	59	1
75	76	72	69	64	0
71	71	60	71	66	1
72	77	64	70	69	1
71	76	67	66	64	1
77	79	74	73	70	0
67	68	68	70	57	1
68	71	61	66	64	1
67	76	62	66	62	1
74	77	64	66	69	0
70	66	68	63	66	1
72	78	70	71	64	1
69	73	60	74	60	1