It is a Matlab question

Problem 2 (150 pts) The Richter magnitude scale is a method to measure the magnitude of an earthquake. It assigns a magnitude number to quantify the energy released by an earthquake. However, this is not the only method to measure the magnitude of an earthquake. The Kelly Kiloton Index (KKI), formulated in 2006 by H. A. Kelly of UCLA in consultation with Geoffrey Mess of the UCLA Math Department, aims at giving a "realistic" picture of earthquake energy (equivalent energy released by an explosion of TNT). It uses the kiloton (1000 metric tons = 2,200,000 lbs) as the basic unit (Source: UCLA Department of English). The following table shows the Richter scale measure and its approximate amount of energy released in kiloton. Richter Scale Kelly Kiloton Index 2.0 0.001 2.5 0.006 3.0 0.032 3.5 0.180 6.0 1000.000 6.1 2000.000 8.5 5600000.000 8.6 8000000.000 9.9 500000000.000 10.0 1000000000.000 Deliverables: Make a scatterplot where the Richter scale is the independent variable, and the Kelly Kiloton Index is the dependent variable (10 points). Try different polynomial fits for the data set, and plot each fit into a separate graph: Linear equation (y = mx + b). For this case, you must use matrix operations to find the values of m and b (15 points). Quadratic equation (y = ax2 + bx + c). For this case, you must use matrix operations to find the values of a, b, and c (15 points). Exponential equation (y = b * emx) (15 points). Power equation (y = b * xm) (15 points). Logarithmic equation (y = a + b*ln(x)) (15 points). Which fit represented the data the best and why? (15 points). Type your answer below. Using the best fit equation, find the corresponding Kelly Kiloton index value for a Richter scale of 5 (15 points). Print your answer. Using the best fit equation, if you have been told that a building structure proposal can withstand 4,000,000 kilotons, and the historic record of earthquakes in town has never exceeded 7.0 Richter scale What is the largest earthquake this proposed building can withstand? (answer in Richter scale) (20 points). Print your answer. Would you accept or reject the building structure proposal? (15 points) Print your answer.

Problem 2 (150 pts) The Richter magnitude scale is a method to measure the magnitude of an earthquake. It assigns a magnitude number to quantify the energy released by an earthquake. However, this is not the only method to measure the magnitude of an earthquake. The Kelly kiloton Index (KKI), formulated in 2006 by H. A. Kelly of UCLA in consultation with Geoffrey Mess of the UCLA Math Department, aims at giving a "realistic" picture of earthquake energy (equivalent energy released by an explosion of TNT). It uses the kiloton (1000 metric tons = 2,200,000 lbs) as the basic unit (Source: UCLA Department of English). The following table shows the Richter scale measure and its approximate amount of energy released in kiloton Richter Scale 2.0 2.5 3.0 3.5 6.0 6.1 8.5 8.6 9.9 10.0 Kelly kiloton Index 0.001 0.006 0.032 0.180 1000.000 2000.000 5600000.000 8000000.000 500000000.000 1000000000.000 Deliverables: 1. Make a scatterplot where the Richter scale is the independent variable, and the Kelly Kiloton Index is the dependent variable (10 points). 2. Try different polynomial fits for the data set, and plot each fit into a separate graph: a. Linear equation (y = mx + b). For this case, you must use matrix operations to find the values of m and b (15 points). b. Quadratic equation (y = ax + bx + c). For this case, you must use matrix operations to find the values of a, b, and C (15 points). c. Exponential equation (y =b* ) (15 points). d. Power equation (y = b * X) (15 points). e. Logarithmic equation (y = a + b*In(x)) (15 points). 3. Which fit represented the data the best and why? (15 points). Type your answer below. 4. Using the best fit equation, find the corresponding Kelly kiloton index value for a Richter scale of 5 (15 points). Print your answer. 5. Using the best fit equation, if you have been told that a building structure proposal can withstand 4,000,000 kilotons, and the historic record of earthquakes in town has never exceeded 7.0 Richter scale... a. What is the largest earthquake this proposed building can withstand? (answer in Richter scale) (20 points). Print your answer. b. Would you accept or reject the building structure proposal? (15 points) Print your answer. Self-check: 5a) x. 4 Richter scale Problem 2 (150 pts) The Richter magnitude scale is a method to measure the magnitude of an earthquake. It assigns a magnitude number to quantify the energy released by an earthquake. However, this is not the only method to measure the magnitude of an earthquake. The Kelly kiloton Index (KKI), formulated in 2006 by H. A. Kelly of UCLA in consultation with Geoffrey Mess of the UCLA Math Department, aims at giving a "realistic" picture of earthquake energy (equivalent energy released by an explosion of TNT). It uses the kiloton (1000 metric tons = 2,200,000 lbs) as the basic unit (Source: UCLA Department of English). The following table shows the Richter scale measure and its approximate amount of energy released in kiloton Richter Scale 2.0 2.5 3.0 3.5 6.0 6.1 8.5 8.6 9.9 10.0 Kelly kiloton Index 0.001 0.006 0.032 0.180 1000.000 2000.000 5600000.000 8000000.000 500000000.000 1000000000.000 Deliverables: 1. Make a scatterplot where the Richter scale is the independent variable, and the Kelly Kiloton Index is the dependent variable (10 points). 2. Try different polynomial fits for the data set, and plot each fit into a separate graph: a. Linear equation (y = mx + b). For this case, you must use matrix operations to find the values of m and b (15 points). b. Quadratic equation (y = ax + bx + c). For this case, you must use matrix operations to find the values of a, b, and C (15 points). c. Exponential equation (y =b* ) (15 points). d. Power equation (y = b * X) (15 points). e. Logarithmic equation (y = a + b*In(x)) (15 points). 3. Which fit represented the data the best and why? (15 points). Type your answer below. 4. Using the best fit equation, find the corresponding Kelly kiloton index value for a Richter scale of 5 (15 points). Print your answer. 5. Using the best fit equation, if you have been told that a building structure proposal can withstand 4,000,000 kilotons, and the historic record of earthquakes in town has never exceeded 7.0 Richter scale... a. What is the largest earthquake this proposed building can withstand? (answer in Richter scale) (20 points). Print your answer. b. Would you accept or reject the building structure proposal? (15 points) Print your answer. Self-check: 5a) x. 4 Richter scale