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# 1.Given random variables y, x1, and x2, consider 0+1x1+2x2+3x22+4x1x2 a. Find the partial effects of x1 and x2 on E(y|x1,x2) b.Writing the equation

two questions in attachment. 3X!

1.Given random variables y, x1, and x2, consider the model E(y|x1,x2)= β 0 1 x 1 2 x 2 3 x 2 2 4 x 1 x 2 a. Find the partial effects of x1 and x2 on E(y|x1,x2) b.Writing the equation as y=β 0 1 x 1 2 x 2 3 x 2 2 4 x 1 x 2 +u what can be said about E(u|x 1 ,x 2 )? What about E(u| x 1, x 2, x 2 2 ,x 1 x 2 )? 2.Let {yi: i=1,2,…} be an independent, identically distributed sequence with E(y i 2 )<∞. Let μ=E(y i ) and 2 ( ) i Var y σ = . a. Let N y denote the sample average based on a sample size of N. Find Var[ N ( N y - μ )]. b. What is the asymptotic variance of N ( N y - μ )? c. What is the asymptotic variance of N y ? Compare this with Var( N y ). d. What is the asymptotic standard deviation of N y ? e. How would you obtain the asymptotic standard error of N y ?

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