3.23 Diamond prices. In Example 3.11, we looked at quadratic and cubic polynomial models for the price of diamonds (TotalPrice) based on the size (Carat). Another variable in the Diamonds datafile gives the Depth of the cut for each stone (as a percentage of the diameter). Run each of the models listed below, keeping track of the values for, adjusted R , and which terms (according to the individual t-tests) are important in each model: a. A quadratic model using Depth b. A two-predictor model using Carat and Depth c. A three-predictor model that adds interaction for Carat and Depth d. A complete second-order model using Carat and Depth Among these four models as well as the quadratic and cubic models shown in Example 3.11, which would you recommend using for TotalPrice of diamonds? Explain your choice