INSURANCE

Data:
                                             
   District  Group   Age Holders Claims
1         1    <1l   <25     197     38
2         1    <1l 25-29     264     35
3         1    <1l 30-35     246     20
4         1    <1l   >35    1680    156
5         1 1-1.5l   <25     284     63
6         1 1-1.5l 25-29     536     84
7         1 1-1.5l 30-35     696     89
8         1 1-1.5l   >35    3582    400
9         1 1.5-2l   <25     133     19
10        1 1.5-2l 25-29     286     52
11        1 1.5-2l 30-35     355     74
12        1 1.5-2l   >35    1640    233
13        1    >2l   <25      24      4
14        1    >2l 25-29      71     18
15        1    >2l 30-35      99     19
16        1    >2l   >35     452     77
17        2    <1l   <25      85     22
18        2    <1l 25-29     139     19
19        2    <1l 30-35     151     22
20        2    <1l   >35     931     87
21        2 1-1.5l   <25     149     25
22        2 1-1.5l 25-29     313     51
23        2 1-1.5l 30-35     419     49
24        2 1-1.5l   >35    2443    290
25        2 1.5-2l   <25      66     14
26        2 1.5-2l 25-29     175     46
27        2 1.5-2l 30-35     221     39
28        2 1.5-2l   >35    1110    143
29        2    >2l   <25       9      4
30        2    >2l 25-29      48     15
31        2    >2l 30-35      72     12
32        2    >2l   >35     322     53
33        3    <1l   <25      35      5
34        3    <1l 25-29      73     11
35        3    <1l 30-35      89     10
36        3    <1l   >35     648     67
37        3 1-1.5l   <25      53     10
38        3 1-1.5l 25-29     155     24
39        3 1-1.5l 30-35     240     37
40        3 1-1.5l   >35    1635    187
41        3 1.5-2l   <25      24      8
42        3 1.5-2l 25-29      78     19
43        3 1.5-2l 30-35     121     24
44        3 1.5-2l   >35     692    101
45        3    >2l   <25       7      3
46        3    >2l 25-29      29      2
47        3    >2l 30-35      43      8
48        3    >2l   >35     245     37
49        4    <1l   <25      20      2
50        4    <1l 25-29      33      5
51        4    <1l 30-35      40      4
52        4    <1l   >35     316     36
53        4 1-1.5l   <25      31      7
54        4 1-1.5l 25-29      81     10
55        4 1-1.5l 30-35     122     22
56        4 1-1.5l   >35     724    102
57        4 1.5-2l   <25      18      5
58        4 1.5-2l 25-29      39      7
59        4 1.5-2l 30-35      68     16
60        4 1.5-2l   >35     344     63
61        4    >2l   <25       3      0
62        4    >2l 25-29      16      6
63        4    >2l 30-35      25      8
64        4    >2l   >35     114     33

Description:

The data consist of the numbers of policyholders of an insurance company who were exposed to risk, and the numbers of car insurance claims made by those policyholders in the third quarter of 1973.

Format:

- District
factor: district of residence of policyholder (1 to 4): 4 is major cities.

- Group
an ordered factor: group of car with levels <1 litre, 1–1.5 litre, 1.5–2 litre, >2 litre.

- Age
an ordered factor: the age of the insured in 4 groups labelled <25, 25–29, 30–35, >35.

- Holders
numbers of policyholders.

- Claims
numbers of claims

Task:

Model the number of claims.