Question: Suppose you estimate the consumption function Y1 = alpha 1 + alpha2 Xi + u0 and the savings function Zi = beta 1+beta2Xi+u2, where Y

Suppose you estimate the consumption function Y1 = alpha 1 + alpha2 Xi + u0 and the savings function Zi = beta 1+beta2Xi+u2, where Y = consumption, Z = savings, X = income, and X=Y+Z, that is, income is equal to consumption plus savings. What is the relationship, if any, between alpha 2 and beta 2? Show your calculations. Suppose you estimate the consumption function Y1 = alpha 1 + alpha2 Xi + u0 and the savings function Zi = beta 1+beta2Xi+u2, where Y = consumption, Z = savings, X = income, and X=Y+Z, that is, income is equal to consumption plus savings. What is the relationship, if any, between alpha 2 and beta 2? Show your calculations

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