The following logit model from J.S Cramer on the household budget survey of 980 was based on a sample of 2820 households. The purpose is to determine car ownership as a function of income. Car ownership was a binary variable: Y=1 if a household owns a car, zero otherwise. -2.772 + (-3.35) 0.348 In Income Own = %3D (4.05) x2 = 16.681 ,p – value:0.000 The number in the parentheses are t statistics. a. Interpret the estimated logit model. b. From the estimated logit model, how would you obtain the expression for the probability of car ownership? c. What is the probability that a household with an income of $20,000 will own а car?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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Answer this question and explain it. This is an exercise.
The following logit model from J.S Cramer on the household budget survey of
980 was based on a sample of 2820 households. The purpose is to determine
car ownership as a function of income. Car ownership was a binary variable:
Y=1 if a household owns a car, zero otherwise.
-2.772
0.348 In Income
Own =
(-3.35)
(4.05)
x2 = 16.681 ,p – value:0.000
The number in the parentheses are t statistics.
a. Interpret the estimated logit model.
b. From the estimated logit model, how would you obtain the expression for
the probability of car ownership?
c. What is the probability that a household with an income of $20,000 will own
а car?
Transcribed Image Text:The following logit model from J.S Cramer on the household budget survey of 980 was based on a sample of 2820 households. The purpose is to determine car ownership as a function of income. Car ownership was a binary variable: Y=1 if a household owns a car, zero otherwise. -2.772 0.348 In Income Own = (-3.35) (4.05) x2 = 16.681 ,p – value:0.000 The number in the parentheses are t statistics. a. Interpret the estimated logit model. b. From the estimated logit model, how would you obtain the expression for the probability of car ownership? c. What is the probability that a household with an income of $20,000 will own а car?
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