Question
Part 1 Life insurance companies are keenly interested in predicting how long their customers will live, because their premiums and profitability depend on such numbers.
Part 1
Life insurance companies are keenly interested in predicting how long their customers will live, because their premiums and profitability depend on such numbers. Data were gathered for 100 deceased males, in order to formulate a regression that predicted longevity based on:
* Age at death of the two parents
* Mean age at death of grandfather and grandmothers
Questions
a. Perform a multiple regression analysis and show the prediction equation.
b. Is the model useful at 2.5% significance level?
c. Interpret the coefficients b1 and b2 in this model.
Part 2 (see Longevity (2)
A statistician working for the company suggeted smoking is a major determinant of a person's longevity. He added this variable as a predictor to the first group of independent variables, but also took out the insignificant variables from the previous model of Part 1.
Questions
d. Run the reduced model (that now includes only three independant variavles), and show the prediction equation.
e. Interpret the coefficient of the predictor "Smoker" in this model (that is, if say, the value of this coefficient is 4, what does it mean in this model).
f. A smoker, whose both parents passed at the age of 85 is 62 years old. How many more years is he expected to live?
g. His friend is not a smoker who lost his mother when she was 70 years old, and father when he was 60 years old. How long is he expected to live?
h. Can you determine with 90% confidence which of the two friends will die at a younger age?
Longevity 1:
Longevity | Mother | Father | Gmothers | Gfathers |
80 | 85 | 78 | 72 | 71 |
73 | 88 | 63 | 76 | 66 |
70 | 66 | 75 | 67 | 57 |
72 | 72 | 67 | 68 | 55 |
79 | 88 | 73 | 64 | 73 |
83 | 90 | 72 | 74 | 62 |
70 | 67 | 65 | 70 | 59 |
72 | 76 | 71 | 74 | 61 |
72 | 66 | 75 | 71 | 63 |
71 | 78 | 64 | 76 | 61 |
67 | 69 | 66 | 61 | 69 |
74 | 71 | 76 | 73 | 60 |
80 | 74 | 77 | 69 | 68 |
63 | 68 | 66 | 67 | 67 |
71 | 70 | 70 | 71 | 67 |
66 | 64 | 66 | 63 | 57 |
74 | 82 | 71 | 75 | 65 |
71 | 71 | 71 | 68 | 62 |
65 | 75 | 60 | 63 | 62 |
74 | 76 | 66 | 66 | 69 |
66 | 69 | 68 | 61 | 65 |
71 | 76 | 67 | 63 | 71 |
73 | 69 | 80 | 64 | 61 |
74 | 79 | 70 | 77 | 60 |
68 | 74 | 62 | 59 | 63 |
77 | 81 | 78 | 73 | 62 |
77 | 85 | 69 | 80 | 65 |
74 | 77 | 69 | 75 | 69 |
68 | 72 | 71 | 72 | 66 |
68 | 75 | 63 | 65 | 65 |
74 | 82 | 66 | 72 | 62 |
71 | 73 | 72 | 68 | 71 |
80 | 84 | 73 | 77 | 68 |
72 | 75 | 61 | 77 | 61 |
77 | 82 | 76 | 71 | 63 |
76 | 88 | 69 | 75 | 67 |
62 | 65 | 57 | 68 | 57 |
70 | 75 | 57 | 67 | 57 |
71 | 72 | 67 | 67 | 64 |
69 | 72 | 63 | 68 | 67 |
73 | 79 | 71 | 74 | 65 |
72 | 77 | 69 | 72 | 65 |
84 | 80 | 90 | 72 | 71 |
73 | 76 | 74 | 69 | 65 |
70 | 78 | 70 | 78 | 54 |
78 | 75 | 74 | 58 | 70 |
82 | 83 | 78 | 77 | 65 |
77 | 75 | 66 | 72 | 60 |
67 | 68 | 69 | 73 | 62 |
72 | 69 | 72 | 69 | 68 |
67 | 67 | 67 | 72 | 66 |
72 | 78 | 64 | 67 | 66 |
75 | 73 | 69 | 71 | 61 |
72 | 71 | 66 | 68 | 68 |
75 | 73 | 73 | 66 | 59 |
80 | 84 | 75 | 71 | 74 |
72 | 78 | 64 | 66 | 61 |
71 | 76 | 61 | 74 | 61 |
71 | 77 | 70 | 73 | 61 |
89 | 86 | 77 | 74 | 69 |
74 | 79 | 71 | 70 | 77 |
72 | 72 | 77 | 71 | 68 |
74 | 78 | 68 | 67 | 72 |
77 | 85 | 77 | 77 | 71 |
77 | 72 | 72 | 63 | 64 |
73 | 67 | 71 | 65 | 69 |
72 | 74 | 64 | 74 | 62 |
65 | 66 | 63 | 72 | 60 |
81 | 82 | 77 | 73 | 69 |
76 | 80 | 70 | 63 | 60 |
64 | 71 | 67 | 66 | 66 |
72 | 73 | 69 | 64 | 67 |
69 | 75 | 67 | 60 | 62 |
59 | 59 | 62 | 68 | 56 |
69 | 73 | 69 | 72 | 53 |
76 | 82 | 65 | 72 | 69 |
63 | 71 | 56 | 61 | 53 |
66 | 74 | 64 | 72 | 63 |
72 | 85 | 60 | 67 | 67 |
68 | 72 | 66 | 65 | 68 |
73 | 80 | 75 | 67 | 67 |
78 | 82 | 72 | 71 | 72 |
83 | 82 | 82 | 76 | 72 |
78 | 82 | 70 | 76 | 64 |
67 | 73 | 62 | 65 | 59 |
70 | 77 | 60 | 69 | 67 |
68 | 74 | 79 | 72 | 65 |
66 | 80 | 63 | 75 | 59 |
75 | 76 | 72 | 69 | 64 |
71 | 71 | 60 | 71 | 66 |
72 | 77 | 64 | 70 | 69 |
71 | 76 | 67 | 66 | 64 |
77 | 79 | 74 | 73 | 70 |
67 | 68 | 68 | 70 | 57 |
68 | 71 | 61 | 66 | 64 |
67 | 76 | 62 | 66 | 62 |
74 | 77 | 64 | 66 | 69 |
70 | 66 | 68 | 63 | 66 |
72 | 78 | 70 | 71 | 64 |
69 | 73 | 60 | 74 | 60 |
Longevity 2:
Gmothers | Gfathers | Smoker | |
72 | 71 | No | |
76 | 66 | Yes | |
67 | 57 | Yes | |
68 | 55 | Yes | |
64 | 73 | No | |
74 | 62 | No | |
70 | 59 | Yes | |
74 | 61 | Yes | |
71 | 63 | Yes | |
76 | 61 | Yes | |
61 | 69 | Yes | |
73 | 60 | No | |
69 | 68 | No | |
67 | 67 | Yes | |
71 | 67 | Yes | |
63 | 57 | Yes | |
75 | 65 | No | |
68 | 62 | Yes | |
63 | 62 | Yes | |
66 | 69 | No | |
61 | 65 | Yes | |
63 | 71 | Yes | |
64 | 61 | Yes | |
77 | 60 | No | |
59 | 63 | Yes | |
73 | 62 | No | |
80 | 65 | No | |
75 | 69 | Yes | |
72 | 66 | Yes | |
65 | 65 | Yes | |
72 | 62 | No | |
68 | 71 | Yes | |
77 | 68 | No | |
77 | 61 | Yes | |
71 | 63 | No | |
75 | 67 | No | |
68 | 57 | Yes | |
67 | 57 | Yes | |
67 | 64 | Yes | |
68 | 67 | Yes | |
74 | 65 | Yes | |
72 | 65 | Yes | |
72 | 71 | No | |
69 | 65 | Yes | |
78 | 54 | Yes | |
58 | 70 | No | |
77 | 65 | No | |
72 | 60 | No | |
73 | 62 | Yes | |
69 | 68 | Yes | |
72 | 66 | Yes | |
67 | 66 | Yes | |
71 | 61 | No | |
68 | 68 | Yes | |
66 | 59 | No | |
71 | 74 | No | |
66 | 61 | Yes | |
74 | 61 | Yes | |
73 | 61 | Yes | |
74 | 69 | No | |
70 | 77 | No | |
71 | 68 | Yes | |
67 | 72 | No | |
77 | 71 | No | |
63 | 64 | No | |
65 | 69 | Yes | |
74 | 62 | Yes | |
72 | 60 | Yes | |
73 | 69 | No | |
63 | 60 | No | |
66 | 66 | Yes | |
64 | 67 | Yes | |
60 | 62 | Yes | |
68 | 56 | Yes | |
72 | 53 | Yes | |
72 | 69 | No | |
61 | 53 | Yes | |
72 | 63 | Yes | |
67 | 67 | Yes | |
65 | 68 | Yes | |
67 | 67 | Yes | |
71 | 72 | No | |
76 | 72 | No | |
76 | 64 | No | |
65 | 59 | Yes | |
69 | 67 | Yes | |
72 | 65 | Yes | |
75 | 59 | Yes | |
69 | 64 | No | |
71 | 66 | Yes | |
70 | 69 | Yes | |
66 | 64 | Yes | |
73 | 70 | No | |
70 | 57 | Yes | |
66 | 64 | Yes | |
66 | 62 | Yes | |
66 | 69 | No | |
63 | 66 | Yes | |
71 | 64 | Yes | |
74 | 60 | Yes |
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