The volume of a cone can be approximated using the following formula:

 

\[V = \frac{1}{3} * \pi * \left( \frac{D}{2} \right)^2 * H\]

 

with V the volume, L the length, D the diameter and H the height.

The condition index CI is then calculated as the ratio of meat weight per volume.

Create a new dataset CI from abalone with the variables gender, meat_weight, volume and CI. Make sure you first remove the observations with faulty weight data.

 

   gender length diameter height total_weight meat_weight gut_weight shell_weight rings
1       M  0.455    0.365  0.095       0.5140      0.2245     0.1010        0.150    15
2       M  0.350    0.265  0.090       0.2255      0.0995     0.0485        0.070     7
3       F  0.530    0.420  0.135       0.6770      0.2565     0.1415        0.210     9
4       M  0.440    0.365  0.125       0.5160      0.2155     0.1140        0.155    10
5       I  0.330    0.255  0.080       0.2050      0.0895     0.0395        0.055     7
6       I  0.425    0.300  0.095       0.3515      0.1410     0.0775        0.120     8
7       F  0.530    0.415  0.150       0.7775      0.2370     0.1415        0.330    20
8       F  0.545    0.425  0.125       0.7680      0.2940     0.1495        0.260    16
9       M  0.475    0.370  0.125       0.5095      0.2165     0.1125        0.165     9
10      F  0.550    0.440  0.150       0.8945      0.3145     0.1510        0.320    19