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Principles of Econometrics, 5th Edition Solutions (MESSAGE ME!!)

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Solutions for all the chapter exercises for the book; Principles of Econometrics, 5th Edition Includes all Appendixes and computer exercises. Not available anywhere. Grab a bargain. Provides additional support for any Undergraduates studying an Economics/Econometrics related course. Please messag...

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CHAPTER 16
Exercise Solutions




The authors produced these solutions. They will be independently checked and reformatted in the future. We urge
instructors to download them again next term.




1

, Chapter 16, Exercise Solutions, Principles of Econometrics, 5e 2

EXERCISE 16.1

(a)

Using the logit estimates, the probability of a person choosing automobile transportation given
that DTIME = 1 is

Λ( γ 1 + γ 2 DTIME ) = Λ(−0.2376 + 0.5311× 1) = 0.5729

(b)

Using the probit estimates, the probability of a person choosing automobile transportation
given that DTIME = 1 is

Φ(β 1 + β 2 DTIME ) = Φ ( −0.0644 + 0.3000 × 1) = Φ ( 0.2356 ) = 0.5931

There is very little difference between the logit and probit predicted probabilities. We have
used computer software for normal cdf.

(c)

The logit marginal effect is

dp d Λ(l ) dl
= ⋅ = λ( γ1 + γ 2 x) γ 2 , where l = γ1 + γ 2 x
dx dl dx

The logistic pdf from (16.16) is

λ ( l ) = ( e − l ) (1 + e − l )
2




Given that DTIME = 3, the marginal effect of an increase in DTIME using the logit estimates
is


dp
= λ( γ 1 + γ 2 30) γ 2 = λ(1.3557)0.5311 = ( 0.1629396 ) 0.5311 = 0.086537
dx

The estimated linear probability model is in Example 16.2. The marginal effect is the estimated
slope of 0.0703, which is a bit smaller than the logit estimate. But the important point is that
for the linear probability model the marginal effect is constant and doesn’t depend on the
existing commute time.




Copyright © 2018 Wiley

, Chapter 16, Exercise Solutions, Principles of Econometrics, 5e 3

(d)

For this exercise DTIME = ( BUSTIME − AUTOTIME ) 10 = −50 10 = −5 .

The logit estimate is


dp
= λ( γ 1 + γ 2 × −5) γ 2 = λ(−2.8931)0.5311 = ( 0.04974 ) 0.5311 = 0.02642
dx

The probit estimate is


dp
= λ (β 1 + β 2 × −5)β 2 = φ(−1.5644) ( 0.3) = 0.035204
dx




Copyright © 2018 Wiley

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