A psychologist wishes to test the effects of noise level (NL), light level (LL) andtemperature (T) on the diet (eaten food, EF) of monkeys. The data is summarised inthe table below. EF is the weight of food eaten by a monkey. a. Construct main effect plots for the main factors used in the experiment, and discuss main factor settings that can be used to improve the eaten food. Construct interaction plots for AxB and BxC and discuss, based on the interaction plot, the evidence that any of these interactions have an effect on the eaten food. Write a prediction equation for 'eaten food' and predict the maximum value of' eaten food' response and discuss the results.