Polynomial regression using formulas

Hi

Although statistics is not a strong point of mine, I have managed to use formulas to replicate Data Solver results for Multiple R, R Square, Standard Error, Intercept and X Variable for Linear, Geometric and Exponential regression. But I need help with Polynomials. Ideally I'd like results for 2, 3 and 4 co-efficients so that users have options but do not need the Analysis ToolPak add-in. Attachment includes small sample dataset with polynomial regression using Data Solver and 4 co-efficients.

Many thanks
Alan