2 (31 points total): The data in the table relates diamond carats to purchase prices. You are determining how price is related to carat weight. Use the JMP output following to answer the questions. Helpful numbers (x: carat, y: price): Sxx = 0.1747 t0.10,38=1.304 t0.01,38=2.429 Syy = 194570658 t0.05,38=1.686 t0.005,38=2.712 Sxy = 1633 t0.025,38=2.024 = 0.3698 = 1761IE 4362 Exam 1 Problem 2 2IE 4362 Exam 1 Problem 2 3IE 4362 Exam 1 Problem 2 4 1. (17 points) Is this linear model a good fit? Answer the question by selecting 3 methods of evaluating the fit of the regression. Name the method, describe the data provided (a number, description of a graph, etc.), and provide your interpretation of whether the method indicates a good fit of the model. Last, provide your overall assessment of the model. Method 1 name: ___________________________________________________ Method 1 description of data: Method 1 interpretation: Method 2 name: ___________________________________________________ Method 2 description of data: Method 2 interpretation: Method 3 name: ___________________________________________________ Method 3 description of data: Method 3 interpretation: Overall conclusion on the goodness of fit of the model