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Homework answers / question archive / Prediction of residuary resistance of sailing yachts at the initial design stage is of a great value for evaluating the ships performance and for estimating the required propulsive power

Prediction of residuary resistance of sailing yachts

at the initial design stage is of a great value for evaluating the ships performance and for

estimating the required propulsive power. Essential inputs include the basic hull dimensions

and the boat velocity. The Delft data set comprises 308 full-scale experiments, which were

performed at the Delft Ship Hydromechanics Laboratory for that purpose. The results of

these experiments are in the file yacht.dat. These experiments include 22 different hull forms,

derived from a parent form closely related to the Standfast designed by Frans Maas.

The columns correspond to the following variables (in order):

• Residuary resistance per unit weight of displacement, adimensional;

• Longitudinal position of the center of buoyancy, adimensional;

• Prismatic coefficient, adimensional;

• Length-displacement ratio, adimensional;

• Beam-draught ratio, adimensional;

• Length-beam ratio, adimensional;

• Froude number, adimensional.

Using this data:

1. Fit a model to predict the resistance per unit weight of displacement as a function of

the other variables. Discuss if this is a valid model.

2. Given the above model as a starting point, investigate how it can be improved. In this

you should consider:

(a) The use of training and validation datasets. The data should be divided such that

the split between these two sets is approximately 80% for training and 20% for

validation.

(b) Are all variables important for the model?