1. The problem of finding a line that best fits a set of data can be solved using the method of least squares. Consider the simple set of data below, where we have the heat capacity, Cy, of a material at different temperatures, T, and pressures, P. C 5 10 25 20 40 T 1 2 3 4 5 P 5 10 5 10 10 We can use the method of least squares to fit a model of the form, co = Bo + BAT + B2P, where and a and b are parameters of the linear fit. The following equations can be used to derive the parameters: 1 1 5 1 2 10 A = 1 3 5 1 4 10 11 5 10 5 10 B = 25 20 40 -- ATAB.) = A"B B2 Solve the system of equations defined above to find values for Bo, B1, and B2. Be sure to show your work. (50 points)