Question: Consider two least squares regressions Y X 1 e1 ee and Y X 1 b1 X 2 b2 be. Let R2 1 and

Consider two least squares regressions Y Æ X 1 e¯1 Åee and Y Æ X 1 b¯1 ÅX 2 b¯2 Åbe.

Let R2 1 and R2 2 be the R-squared from the two regressions. Show that R2 2

¸ R2 1. Is there a case (explain)

when there is equality R2 2

Æ R2 1?

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