The table below lists different amounts (metric tons) of explosives and the corresponding value on the Richter scale for the explosions. Construct a scatterplot and identify the mathematical model that best ts the given data. x (metric tons) 1 8 13 53 102 525 CI y (Richter 3.1 3.7 4.1 4.4 4.6 4.8 scale) Choose the correct graph below. O A. O B. O C. CD. 5.5- Ay Ay 5.5- 5.5- Ay 5.5- X X X 2.5- X 2.54 2.5- 600 2.5+ 600 600 600What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) y = ( ) X O B. y= x + x+ O C. y= + ( In x O D. y = X O E. y= + XThe table below lists different amounts (metric tons) of explosives and the corresponding value on the Richter scale for the explosions. Construct a scatterplot and identify the mathematical model that best ts the given data. x {metric tons) 3 8 14 54 119 451 El y (Richter 3.40 3.80 4.20 4.40 4.60 4.80 scale} Consider models for which the graph of the data is similar to the generic graph. The models that should be considered are the power model, the quadratic model, and the logarithmic model. For each model being considered, use technology to nd the value of the coefficient of determination, R2, rounding to three decimal places. Power > R2 = 0.906 0.795 0.929 Quadratic > R2 Logarithmic > R2 A large value of R2 corresponds to a function that better ts the observed points. If the value of R2 is small, then the model will not be a good fit. Since the logarithmic model has the largest coefficient of determination with R2 = 0.929, it should be chosen as the best model. Use technology to determine the logarithmic model, rounding to three decimal places. y = 3.265 + 0.271 In (x)