Consider the regression model: (C 1 +Y) = β 0 + β 1 (C 2 + X) + μ. a. Show that the slope estimator from this model, β 1 tilde , is equal to the OLS estimator of the slope, β 1hat . b. Derive the...

Consider the regression model: (C₁+Y) = β₀ + β₁(C₂ + X) + μ.

a.    Show that the slope estimator from this model, β_1
tilde,is equal to the OLS estimator of the slope, β_1hat.

b.    Derive the equation for the intercept term, β_0tilde, that contains both of OLS estimators of β_0hat and β_1hat.