A fitted multiple regression is Y = 8 + 4X1 - 3X2 + 5X3 + 2X1X3 + 6X4 + 8(X4)^2. Suppose for one Y-X pair in the sample, the observed Y is 319, and X1=3, X2=6, X3=10, and X4=5. The corresponding residual will be
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The regression equation is: \[ Y = 8 + 4X1 - 3X2 + 5X3 + 2X1X3 + 6X4 + 8(X4)^2 \] Substituting the values: - \( X1 = 3 \) - \( X2 = 6 \) - \( X3 = 10 \) - \( X4 = 5 \) We calculate each term: - \( 8 \) - \( 4(3) = 12 \) - \( -3(6) = -18 \) - \( 5(10) = 50 \) - Show more…
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A fitted multiple regression equation is Y = 8 + 4X1 - 3X2 + 5X3 + 6X4 + 2X1X3. Suppose for one Y-X pair in the sample, the observed Y is 137, and X1 = 3, X2 = 6, X3 = 10, and X4 = 5. The corresponding residual will be
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