3. (Graduation) The following table reports the number at risk and exits by the event for age under 30. Age(x) lx 0 dx Age(x) Ix dx 103 0 15 64 4 1 -234567822=22: 103 0 16 60 4 103 3 17 56 7 100 1 18 49 10 99 1 19 39 6 98 3 20 33 3 95 2 21 30 10 10 11 12 13 14 22222222 93 1 22 20 8 92 2 23 124 90 86 82 79 75 72 1443 +38 4 29 222222 24 8 3 25 5 26 5 27 2 2 1 Table 2: Actuarial table. Under Binomial model, use the following inverse logit model for graduation qx = logit¯¹ (pn(x)), where p(x) = 0 + α₁x + a2x² + ... + Anx”. Compare the results for n = 1, n = 2 and n = 3. Provide statistical tests (x²-test, standardized deviations test, sign test, change-of-sign test, and lag-1 serial correlation test) on the quality of goodness-of-fit of the model.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Please assist with the following questions with the answers.

3. (Graduation)
The following table reports the number at risk and exits by the event for age under 30.
Age(x) lx
0
dx
Age(x) Ix dx
103
0
15
64 4
1
-234567822=22:
103 0
16
60 4
103 3
17
56 7
100 1
18
49 10
99
1
19
39
6
98
3
20
33 3
95 2 21
30 10
10
11
12
13
14
22222222
93 1 22
20
8
92
2
23
124
90
86
82
79
75
72
1443 +38
4
29
222222
24
8
3
25
5
26
5
27
2
2
1
Table 2: Actuarial table.
Under Binomial model, use the following inverse logit model for graduation
qx = logit¯¹ (pn(x)), where p(x) = 0 + α₁x + a2x² + ... + Anx”.
Compare the results for n = 1, n = 2 and n = 3.
Provide statistical tests (x²-test, standardized deviations test, sign test, change-of-sign
test, and lag-1 serial correlation test) on the quality of goodness-of-fit of the model.
Transcribed Image Text:3. (Graduation) The following table reports the number at risk and exits by the event for age under 30. Age(x) lx 0 dx Age(x) Ix dx 103 0 15 64 4 1 -234567822=22: 103 0 16 60 4 103 3 17 56 7 100 1 18 49 10 99 1 19 39 6 98 3 20 33 3 95 2 21 30 10 10 11 12 13 14 22222222 93 1 22 20 8 92 2 23 124 90 86 82 79 75 72 1443 +38 4 29 222222 24 8 3 25 5 26 5 27 2 2 1 Table 2: Actuarial table. Under Binomial model, use the following inverse logit model for graduation qx = logit¯¹ (pn(x)), where p(x) = 0 + α₁x + a2x² + ... + Anx”. Compare the results for n = 1, n = 2 and n = 3. Provide statistical tests (x²-test, standardized deviations test, sign test, change-of-sign test, and lag-1 serial correlation test) on the quality of goodness-of-fit of the model.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman