Assume that N pairs of data {x1, y1},...,{xN, yN} are given. (1) Obtain the least squares estimates ˆa and bˆ of the second order polynomial regression model yn = ax2 n + bxn + εn that passes through...

Assume that N pairs of data {x1, y1},...,{xN, yN} are given.

(1) Obtain the least squares estimates ˆa and bˆ of the second order

polynomial regression model yn = ax2

n + bxn + εn that passes

through the origin.

(2) Obtain a second order polynomial regression model that passes

through the origin and the point (c,0), and consider how to obtain

the least squares estimate of the model.