a) For the given data in Table Q1 and, calculate y at with step size of 0.5 by using the Forth-Order Runge-Kutta Method.

b) Use the data in Table Q1 to fit a first-order polynomial. Compute the standard error and coefficient of determination.

c) Use the data in Table Q1 to fit a second-order polynomial. Compute the standard error and correlation coefficient.

 

Table Q1 1 1.5 2.5 3 3.5 4 0.3679 0.2733 0.1914 0.1298 0.0862 0.0565 0.0366