Please answer question 1 2 3.

1. (2points) Show that an equivalent way to write the regression model is Y; = Y + B, (X; - X) 2. (4 points) List up to 4 factors that impact the power of the hypothesis tests for the slope and/or the intercept? Be clear about whether it will affect Bo, or B1, or both.Consider Y,..., Y, i.i.d observations and the usual regression model Y; = Po + X;/, + e; with E; ~ N(0,52) All plots should have titles.3. (3 points) Given the above model and the variance and covariance identities: cov(Y, Z) = E(YZ) - E(Y )E(Z) And cov(X + Y, Z) = cov(X, Y) + cov(Z, Y ) Show that cova Y, + azy2] , [by, + byY2] ) = 02(ab,+ a2by)