Question
The data at the bottom pertains to the question that I have. For purposes of this question, only use the data for ages 30-110. Let
The data at the bottom pertains to the question that I have.
For purposes of this question, only use the data for ages 30-110.
Let Lx denote the number of survivors at age x. The Mortality Rate at Age x is defined to be
( Lx-Lx+1)/Lx
For example, the Mortality Rate at Age x = 30 is
(Lx-Lx+1)/Lx = (L30-L31)/L30 = (97,092-96,954)/97,092 = .001421
The Mortality Rate at Age x = 31 is
(Lx-Lx+1)/Lx = (L31-L32)/L31 = (96,954-96,818)/96,954 = .001402
(a) Calculate the regression of Mortality Rate on age. That is, find the regression line
Mortality Rate = a + b(Age).
(b) What fraction of the variation in Mortality Rate is explained by Age?
(c) How much does the Mortality Rate increase for each additional year of age?
(d) Have Excel draw a graph with Age on the horizontal axis and Mortality Rate on the vertical axis, with the regression line on the graph as well.
A | B |
Number of | |
Age | Survivors |
0 | 100000 |
1 | 99249 |
2 | 99193 |
3 | 99155 |
4 | 99126 |
5 | 99102 |
6 | 99083 |
7 | 99066 |
8 | 99051 |
9 | 99035 |
10 | 99019 |
11 | 99001 |
12 | 98983 |
13 | 98963 |
14 | 98938 |
15 | 98906 |
16 | 98860 |
17 | 98791 |
18 | 98700 |
19 | 98580 |
20 | 98444 |
21 | 98311 |
22 | 98163 |
23 | 98023 |
24 | 97888 |
25 | 97752 |
26 | 97624 |
27 | 97489 |
28 | 97359 |
29 | 97224 |
30 | 97092 |
31 | 96954 |
32 | 96818 |
33 | 96677 |
34 | 96522 |
35 | 96359 |
36 | 96180 |
37 | 95997 |
38 | 95791 |
39 | 95569 |
40 | 95337 |
41 | 95087 |
42 | 94825 |
43 | 94542 |
44 | 94229 |
45 | 93892 |
46 | 93529 |
47 | 93142 |
48 | 92713 |
49 | 92254 |
50 | 91768 |
51 | 91247 |
52 | 90707 |
53 | 90127 |
54 | 89527 |
55 | 88839 |
56 | 88161 |
57 | 87382 |
58 | 86542 |
59 | 85600 |
60 | 84654 |
61 | 83582 |
62 | 82458 |
63 | 81231 |
64 | 79920 |
65 | 78506 |
66 | 76988 |
67 | 75391 |
68 | 73665 |
69 | 71830 |
70 | 69875 |
71 | 67824 |
72 | 65652 |
73 | 63335 |
74 | 60880 |
75 | 58335 |
76 | 55655 |
77 | 52874 |
78 | 50001 |
79 | 47012 |
80 | 43928 |
81 | 40856 |
82 | 37568 |
83 | 34457 |
84 | 31192 |
85 | 27975 |
86 | 24820 |
87 | 21766 |
88 | 18852 |
89 | 16113 |
90 | 13580 |
91 | 11277 |
92 | 9218 |
93 | 7412 |
94 | 5857 |
95 | 4546 |
96 | 3462 |
97 | 2586 |
98 | 1893 |
99 | 1357 |
100 | 953 |
101 | 600 |
102 | 400 |
103 | 200 |
104 | 100 |
105 | 50 |
106 | 30 |
107 | 15 |
108 | 7 |
109 | 3 |
110 | 1 |
111 | 0 |
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