Show that the least-squares prediction equation
Chapter 11, Problem 103SE(choose chapter or problem)
Show that the least-squares prediction equation
\(\hat{y}=\widehat{\beta_{0}}+\widehat{\beta_{1}} x_{1}+\ldots+\beta_{k} x_{k}\)
passes through the point \(\left(\overline{X_{1}}, \overline{X_{2}}, \ldots, \overline{X_{k}}, \bar{y}\right)\).
Equation transcription:
Text transcription:
hat{y}=widehat{beta{0}}+widehat{beta{1}} x{1}+ldots+beta{k} x{k}
(overline{X{1}}, overline{X{2}}, ldots, overline{X{k}}, bar{y})
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