Exercise 2.2.22

Answers

$\bar{t} = 2$ and $\bar{b} = 9$ , we have $C + D \bar{t} = 1 + 4 * 2 = 9 = \bar{b}$ .
From the equation $A^{T} A \hat{x} = A^{T} b$ , we have from page 136 that $A^{T} A \hat{x} = [\begin{matrix} m & \sum t_{i} \\ \sum t_{i} & \sum t_{i}^{2} \end{matrix}] [\begin{matrix} Ĉ \\ \hat{D} \end{matrix}] = [\begin{matrix} \sum b_{i} \\ \sum b_{i} t_{i} \end{matrix}]$ , the first equation is $mĈ + \hat{D} \sum t_{i} = \sum b_{i}$ , i.e. $Ĉ + \hat{D} \bar{t} = \bar{b}$ .

niuers

2020-03-20 00:00