Question: 1. Suppose you estimate the consumption function Y1 = alpha1 + alpha2Xi +u1i, and the savings function Zi = beta1 + beta2Xi +u2i, where Y

1. Suppose you estimate the consumption function Y1 = alpha1 + alpha2Xi +u1i, and the savings function Zi = beta1 + beta2Xi +u2i, 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 alpha2 and beta2? Show your calculations. 1. Suppose you estimate the consumption function Y1 = alpha1 + alpha2Xi +u1i, and the savings function Zi = beta1 + beta2Xi +u2i, 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 alpha2 and beta2? Show your calculations

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