Suppose you want to develop a model that predicts finishing position in racing T

Question

Suppose you want to develop a model that predicts finishing position in racing Thoroughbreds. The explanatory variables you are going to use are: X1: post position X2: distance of the race X3: condition of the racetrack X4: weight of the jockey
a. Write a model that utilizes all four explanatory variables in an additive model with linear terms and define any indicator variables.
b. Suppose you suspect there is an interaction with race distance and weight of the jockey. Write a model that incorporates this interaction term into the model from part a.

Explanation / Answer

The linear models would be written as under:-

a)

Finishing Position=Intercept+b1(post position)+b2(distance)+b3(condition)+b4(weight)

b)

Finishing Position=Intercept+b1(post position)+b2(distance)+b3(condition)+b4(weight)+b5(distance*weight)

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