Question: 8.10 Consider the regression model Yi = b0 + b1X1i + b2X2i + b31X1i * X2i2 + ui. Use Key Concept 8.1 to show that

8.10 Consider the regression model Yi = b0 + b1X1i + b2X2i + b31X1i * X2i2 + ui.

Use Key Concept 8.1 to show that

a. Y>X1 = b1 + b3X2 (effect of change in X1, holding X2 constant).

b. Y>X2 = b2 + b3X1 (effect of change in X2, holding X1 constant).

c. If X1 changes by X1 and X2 changes by X2, then Y =

1b1 + b3X22X1 + 1b2 + b3X12X2 + b3X1X2.

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