4. Examine the regression table below before answering the questions that follow.Throughout, the Log() function represents the natural logarithm, so that Log(e) =1:Dependent Variable: Log(Expenditures on Cigarettes + 1)Method: Least SquaresVariable Coefficient Std. ErrorConstant 0.50 0.41Log(Income+1) −0.02 0.002(a) Why are the dependent and explanatory variables in the form log(1+x), ratherthan log(x)? (b) Which of the above coefficients are statistically significant? How do you know?(c) Interpret the coefficient on Log(Income+1). (d) What is the predicted level of Log(Expenditures on Cigarettes + 1) for anobserved individual with income of e10 − 1? (4

MACROECONOMICS FOR TODAY
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Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
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4. Examine the regression table below before answering the questions that follow.
Throughout, the Log() function represents the natural logarithm, so that Log(e) =
1:
Dependent Variable: Log(Expenditures on Cigarettes + 1)
Method: Least Squares
Variable Coefficient Std. Error
Constant 0.50 0.41
Log(Income+1) −0.02 0.002
(a) Why are the dependent and explanatory variables in the form log(1+x), rather
than log(x)? 
(b) Which of the above coefficients are statistically significant? How do you know?

(c) Interpret the coefficient on Log(Income+1). 
(d) What is the predicted level of Log(Expenditures on Cigarettes + 1) for an
observed individual with income of e
10 − 1? (4

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