Problem 1 - Least-squares regression 1.1) Use polynomial regression to fit following data using a cubic function 1.1a) Determine the coefficients of the cubic equation. 1.1b) Determine the coefficient of determination, correlation coefficient and standard error of estimate. 1.2) Derive the least-squares fit using the model: y=c1x+c2x2+e. 1.2a) Determine the coefficients, c1 and c2 for this second-order polynomial fit with zero intercept. (1.2b) Apply this fitting method to the following data