please use matlab

Problem 10.3 Goal: Predict heat transfer based on the relationship between heat transfer and pressure. The heat transfer per unit area of boiling water varies as a function of pressure. The heat transfer values were measured as a function of pressure with high precisiorn Pressure (MPa) Heat Transfer (MW/m2) 4 10 3.9 4.0 3.8 Knowing that the data were collected with high precision, you want to use spline interpolation to predict the heat transfer at other pressure values Write a script or function (your choice) to complete the following tasks a) Perform cubic spline interpolation given the data points. HINT: You should be able to follow the same steps as you did to write the equations you wrote for In-Class Exercise 13. The following questions may help you write your equations How many polynomials can you fit to the data points? Given the general form for a cubic polynomial (y - ax3 + bx2 + cx + d) and the answer to the previous question, how many unknown coefficients do you have to solve for? How many equations are needed to solve for the unknown coefficients? How can you find the required number of equations to solve for the unknown coefficients? HINT: Once you find the required number of equations, STOP! b) Predict new heat transfer values at other pressure values. Use the appropriate input mechanism to allow the user to input at least 2 pressure values that they would like to use for the prediction Use the appropriate output mechanism to display the heat transfer values that are predicted CHALLENGE: Can you write your MATLAB code so that it is flexible to handle one or more prediction calculation(s) at once? What type of MATLAB code would you need to REPEAT the prediction calculations? Problem 10.3 Goal: Predict heat transfer based on the relationship between heat transfer and pressure. The heat transfer per unit area of boiling water varies as a function of pressure. The heat transfer values were measured as a function of pressure with high precisiorn Pressure (MPa) Heat Transfer (MW/m2) 4 10 3.9 4.0 3.8 Knowing that the data were collected with high precision, you want to use spline interpolation to predict the heat transfer at other pressure values Write a script or function (your choice) to complete the following tasks a) Perform cubic spline interpolation given the data points. HINT: You should be able to follow the same steps as you did to write the equations you wrote for In-Class Exercise 13. The following questions may help you write your equations How many polynomials can you fit to the data points? Given the general form for a cubic polynomial (y - ax3 + bx2 + cx + d) and the answer to the previous question, how many unknown coefficients do you have to solve for? How many equations are needed to solve for the unknown coefficients? How can you find the required number of equations to solve for the unknown coefficients? HINT: Once you find the required number of equations, STOP! b) Predict new heat transfer values at other pressure values. Use the appropriate input mechanism to allow the user to input at least 2 pressure values that they would like to use for the prediction Use the appropriate output mechanism to display the heat transfer values that are predicted CHALLENGE: Can you write your MATLAB code so that it is flexible to handle one or more prediction calculation(s) at once? What type of MATLAB code would you need to REPEAT the prediction calculations