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Suppose You Are Interested in Explaining Variation in Vacation Spending

Question 13

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Suppose you are interested in explaining variation in Vacation Spending in a sample of 12,486 men and women and that you estimate the sample regression function (standard errors in parentheses)

Vacation Spendingi=639.82+0.22Incomei+217.39College Graduatei(134.62)(0.05)(91.43)\begin{array}{llcc} \text {Vacation Spending}_ { i } = &639.82 +& 0.22 \text {Income} { i } + &217.39 \text {College Graduate}_ { i }\\&( 134.62 ) &( 0.05 )&(91.43)\end{array}

a)Which variable do you suspect could be responsible for heteroskedasticity in this model? Why? Explain.
b)How would you use the Goldfeld-Quandt test to determine whether heteroskedasticity is present? Explain.
c)Suppose you know that heteroskedasticity takes the form h(x)=Incomei2σ2h ( x ) = \operatorname { Income } _ { i } ^ { 2 } \cdot \sigma ^ { 2 }
.How would you use Weighted Least Squares to correct for the heteroskedasticity? Explain.

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a.It seems most reasonable that Income i...

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