Unformatted text preview: , c (0) = c (1) = 0 . 5. Suppose you are trying to ﬁt the equation y = θ 1 x 1 + θ 2 x 2 to data where the variables x 1 and x 2 are the experimental inputs (i.e. you control them) and y is the output (i.e. determined by x 1 and x 2 ). (a) How would you assign conﬁdence intervals to your estimates for θ 1 and θ 2 ? (b) How would you choose values for x 1 and x 2 to get the most accurate estimates for θ 1 and θ 2 . Justify your answer. 6. Determine for what values of c , if any, x 2 + y 2 + z 2 ≥ c ( xy + yz + zx ) 1...
View Full Document
- Spring '10
- Boundary value problem, Eigenvalue, eigenvector and eigenspace, Eigenfunction, numerically calculated eignvalues