Consider the following estimated regression equation (standard errors in parenth
ID: 3221349 • Letter: C
Question
Consider the following estimated regression equation (standard errors in parenthesis) for a sample of 900 individuals with loans in banks: ln L_i = 3.160 + 0.592 ln Inc_i (0.024) Where, ln L_i is the log of the size of the loan held by individual i and ln Inc_i, is the log of the individual's annual income level. Interpret the coefficient on ln Inc_i, and comment on its statistical significance. Explain what is meant by the 'omitted variable problem' in the context of this simple regression model.Explanation / Answer
with a unit increase in log income, there is 0.592 units increase in log of size of loan.
ho: betai = 0. beta_i is not significant. v/s
h1: betai =/= 0. beta_i is significant.
t = beta/SE_beta = .592/024 = 24.667
p-value = =T.DIST.2T(24.6667,900-2) =0.000.
with p-value < 0.05 (alpha), i reject ho and conclude that betai =/= 0. beta_i is significant.
omitted variable problem occurs when a model created incorrectly leaves out one or more important factors.
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