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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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