Consider a relational dataset and specify your input and output variables $,$ then:

$($a$)$ Train the model using $80\%$ of this dataset and suggest an appropriate GLM to model ouput to input variables. $$

$(10$ Marks$)$

$($b$)$ Specify the significant variables on the output variable at the level of $=0\mathrm{.}05$ and explore the related hypotheses test. Estimate the parameters of your model.

$(10$ Marks$)$

$($c$)$ Predict the output of the test dataset using the trained model. Provide the functional form of the optimal predictive model.