Handwork problems:

HW$8\_1$ Apply least squares fitting to derive the normal equations for the model $y=a+bx+\frac{c}{x}$ and put it to the matrix form.

HW$8\_2$ Apply least squares fitting to derive the normal equations and solve for the coefficients by hand $($using Cramer's rule$)$ for the zero$-$intercept quadratic model, $y=a_{1}x+a_2{x}^2.$ Use the data below to evaluate the values of the coefficients. Finally interpolate for the value of force at $v=64\frac{m}{s}$

$\backslash$table$[[v,(\frac{m}{s}),10,20,30,40,50,60,70,80],[F,(N),25,70,380,550,610,1220,830,1450]]$