Least Squares in Another Dimension A chemist wishes to estimate the yield Y in a certain p...

Least Squares in Another Dimension A chemist wishes to estimate the yield Y in a certain process that depends on the temperature T and the pressure P. A linear model for the process is assumed:

where a, b1, and b2 are unknown parameters. Assume that the observations are as follows.

Derive equations for the coefficients of the least squares plane, generalizing the technique of the section for the least squares line.