Show that β 2 of Eq. (11.3.8) can also be expressed as and var (β 2 )

Show that β^ˆ—₂of Eq. (11.3.8) can also be expressed as

and var (β^ˆ—₂) given in Eq. (11.3.9) can also be expressed as

where y^ˆ—_i = Y_i €“ YÌ…^ˆ— and x^ˆ—_i = X_i €“ XÌ…^ˆ— represent deviations from the weighted means YÌ…^ˆ—and XÌ…^ˆ— defined as

Transcribed Image Text:

Σwyfr s Σν. wiy}x β5 Σwx? var (B5) = 2 Σwx