where the response variable Y, the angular transformed frequency of the Lap94 allele in the mollusc Mytilus edulis is to be modelled using polynomial regression as a function of X, the distance off the coast in miles east of Southport, Connecticut. [The angular transformation used was Y (for analysis) = Arcsin[(Frequency of allele Lap94)1'2]. (a) Obtain polynomial models from linear up to and including order 5. (b) Obtain graphs for the data with the estimated linear, quadratic, and cubic model equations t to the data. [Hint This is not trivial!]. (c) Test the null hypothesis that the order 4 and order 5 terms do not contribute to the model (given that terms up to order 3 are already in the model) at the 5% level of signicance. (d) Is it better to use a cubic model than a quadratic model? How do you know this